## Copy this file to 3DLDF-1.1.3/ ## Apply the patch like this: ## patch -p1 -i 3DLDF-1.1.3-1.1.4.diff ## diff -Naur 3DLDF-1.1.3/.rcsfreeze.log 3DLDF-1.1.4/.rcsfreeze.log --- 3DLDF-1.1.3/.rcsfreeze.log 2003-12-01 21:40:50.000000000 +0100 +++ 3DLDF-1.1.4/.rcsfreeze.log 2003-12-10 18:37:30.000000000 +0100 @@ -1,3 +1,14 @@ +Version: C_3(C_3), Date: Wed Dec 10 18:36:59 MET 2003 +----------- + Release 1.1.4. +----------- + +Version: C_2(C_2), Date: Tue Dec 9 20:42:48 MET 2003 +----------- + About to merge changes in my development and release directories, before + I make release 1.1.4. +----------- + Version: RELEASE_1_1_3(C_1), Date: Mon Dec 1 21:40:30 MET 2003 ----------- Configuration for 3DLDF 1.1.3. Fixed bugs in 3DLDF-1.1.3/CWEB/Makefile.am diff -Naur 3DLDF-1.1.3/AUTHORS 3DLDF-1.1.4/AUTHORS --- 3DLDF-1.1.3/AUTHORS 2003-12-01 20:46:17.000000000 +0100 +++ 3DLDF-1.1.4/AUTHORS 2003-12-09 21:19:53.000000000 +0100 @@ -1,5 +1,7 @@ AUTHORS +$Id: AUTHORS,v 1.4 2003/12/09 20:19:53 lfinsto1 Exp $ + This file is part of 3DLDF, a package for three-dimensional drawing. Copyright (C) 2003 Laurence D. Finston. @@ -28,8 +30,6 @@ s246794@stud.uni-goettingen.de -$Id: AUTHORS,v 1.3 2003/12/01 19:46:17 lfinsto1 Exp $ - Authors of 3DLDF. 3DLDF Laurence D. Finston (LDF) diff -Naur 3DLDF-1.1.3/CWEB/.rcsfreeze.log 3DLDF-1.1.4/CWEB/.rcsfreeze.log --- 3DLDF-1.1.3/CWEB/.rcsfreeze.log 2003-12-01 21:45:20.000000000 +0100 +++ 3DLDF-1.1.4/CWEB/.rcsfreeze.log 2003-12-10 18:37:52.000000000 +0100 @@ -1,3 +1,14 @@ +Version: C_4(C_4), Date: Wed Dec 10 18:37:40 MET 2003 +----------- + Release 1.1.4. +----------- + +Version: C_3(C_3), Date: Tue Dec 9 20:42:59 MET 2003 +----------- + About to merge changes in my development and release directories, before + I make release 1.1.4. +----------- + Version: RELEASE_1_1_3(C_2), Date: Mon Dec 1 21:44:59 MET 2003 ----------- Configuration for 3DLDF 1.1.3. Fixed bugs in 3DLDF-1.1.3/CWEB/Makefile.am diff -Naur 3DLDF-1.1.3/CWEB/3DLDFprg.dvi 3DLDF-1.1.4/CWEB/3DLDFprg.dvi --- 3DLDF-1.1.3/CWEB/3DLDFprg.dvi 2003-12-01 21:51:47.000000000 +0100 +++ 3DLDF-1.1.4/CWEB/3DLDFprg.dvi 2003-12-10 18:45:10.000000000 +0100 @@ -1,12 +1,12 @@ -÷ƒ’À;è TeX output 2003.12.01:2151‹ÿÿÿÿ Šn ý‘ìó !",š +÷ƒ’À;è TeX output 2003.12.10:1845‹ÿÿÿÿ Šn ý‘ìó !",š cmsy10·xóKñ`y cmr10«1›ó|{Ycmr8­3DLDFPRÃŽG’TrCOPYRIGHT–ÕXAND“LICENSE˜«1Ž €n ý•@Póò"V cmbx10Â1.‘ üCop•®9yrigh“t–ÕTand“License.ޤ «Cop•¸ãyrigh“t‘rž²×cŽŽŽ‘UU· ŽŽŽŽ‘ª««2003–UULaurence“D.“Finston.Ž©‘ -See–Ëžthe“section“·h›ª¨«GNU‘Ë€F‘ÿ*ªree“DoGcumen¸ãtation“License‘@­1515˜·i“«for“the“cop¸ãying“conditions“that“apply“Âto‘][thisŽ¡doQÇcumen®9t«.ަ‘ -ÂThe‘õKprogram–q «3DLDF‘qdoGcumenš¸ãted“here“is“free“soft˜w˜are;‘y˜ou“can“redistribute“it“and/or“moGdify“it“underŽ¡the–Yµterms“of“the“GNU‘Y´General“Public“License“as“published“bš¸ãy“the“F‘ÿ*ªree“Soft˜w˜are“F‘ÿ*ªoundation;‘[åeither“v˜ersionŽ¡2–eFof“the“License,‘iBor“(at“yš¸ãour“option)“an˜y“later“v˜ersion.‘¡™See“the“section“·h›ª¨«GNU‘eAGeneral“Public“License‘@­1516˜·iŽ¡«in–UUthis“doGcumen¸ãt.ަ‘ +See–Ëžthe“section“·h›ª¨«GNU‘Ë€F‘ÿ*ªree“DoGcumen¸ãtation“License‘@­1523˜·i“«for“the“cop¸ãying“conditions“that“apply“Âto‘][thisŽ¡doQÇcumen®9t«.ަ‘ +ÂThe‘õKprogram–q «3DLDF‘qdoGcumenš¸ãted“here“is“free“soft˜w˜are;‘y˜ou“can“redistribute“it“and/or“moGdify“it“underŽ¡the–Yµterms“of“the“GNU‘Y´General“Public“License“as“published“bš¸ãy“the“F‘ÿ*ªree“Soft˜w˜are“F‘ÿ*ªoundation;‘[åeither“v˜ersionŽ¡2–eFof“the“License,‘iBor“(at“yš¸ãour“option)“an˜y“later“v˜ersion.‘¡™See“the“section“·h›ª¨«GNU‘eAGeneral“Public“License‘@­1524˜·iŽ¡«in–UUthis“doGcumen¸ãt.ަ‘ 3DLDF‘;’is–;Ídistributed“in“the“hopšGe“that“it“will“b˜e“useful,‘ukbut“WITHOUT–;’ANY“W‘þãARRANTY;‘;ÍwithoutŽ¡evš¸ãen–ƒªthe“implied“w˜arran˜t˜y“of“MER˜CHANT‘ÿ*ªABILITY›ƒžor“FITNESS˜F¸ãOR˜A˜P–ÿ*ªAR“TICULAR˜PURPOSE.‘ƒªSeeŽ¡the–UUGNU“General“Public“License“for“more“details.ަ‘ Y‘ÿ*ªou–Þshould“ha•¸ãv“e›Þreceiv“ed˜a˜cop“y˜of˜the˜GNU‘ÓGeneral˜Public˜License˜along˜with˜3DLDF;˜if˜not,‘Š€write˜toŽ¡the–UUF›ÿ*ªree“Soft•¸ãw“are–UUF˜oundation,“Inc.,“59“T˜emple“Place,“Suite“330,“Boston,“MA“02111-1307“USAަ‘ 3DLDF›Ais–³a“GNU˜pac¸ãk‘ÿqÇage.‘ àIt“is“part“of“the“GNU˜Pro‘Ž8ject“of“the“F›ÿ*ªree“Soft•¸ãw“are–³F˜oundation“and“isŽ¡published–5­under“the“GNU‘5sGeneral“Public“License.‘ÎSee“the“w¸ãebsite“óßê‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +Donald–}¹Kn¸ãuth's“b•Go“oks‘}¹ÏT‘þKßÓVEŽ‘Í-XŽ‘á¡:‘ãèThe›¹Pr–ÿ}'o“gr“am‘B«and‘}¹ÏMET‘ÿ;¼AF¾“ONT:˜The˜Pr“o“gr“am‘B«eacš¸ãh–}¹include“a“section“\Ho˜wŽ¡to–UUread“a“WEB",“whicš¸ãh“ma˜y“bGe“helpful.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.11.18.«]Ž‘YXChanged–Nrname“of“this“ le“from“Ècweavedriver.web“«to“Ècwdriver.web«.‘o{It“noš¸ãw“has“few˜erŽ¡than–UU8“letters“and“can“bGe“used“under“DOS.Ž¡‘ [¬LDF‘T2003.08.16.«]Ž‘X£ƒChanged–ðname“of“this“ le“from“Ècwdriver.web“«to“È3DLDF.web“«sometime“since“2002.11.18.Ž¡F‘ÿ*ªorgot–UUto“note“it“here.Ž¡‘ -[¬LDF‘T2003.11.12.«]Ž‘ZCáRemo•¸ãv“ed–ûthe“vš¸ãersion“con˜trol“iden˜ti ers“from“the“CWEB‘© les“for“the“distribution“ofŽ¡3DLDF–UU1.1.‘qÇThey're“still“used“in“mš¸ãy“dev˜elopmen˜t“v˜ersions.Ž©ŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽŸ3.– üF‘ÿ +[¬LDF‘T2003.11.12.«]Ž‘ZCáRemo•¸ãv“ed–ûthe“vš¸ãersion“con˜trol“iden˜ti ers“from“the“CWEB‘© les“for“the“distribution“ofŽ¡3DLDF–UU1.1.‘qÇThey're“still“used“in“mš¸ãy“dev˜elopmen˜t“v˜ersions.Ž©ŸüÈ„`ÕÁGŽŽŸÂ3.– üF‘ÿ «ormatting‘r©commands.“Ècweave–ÿˆ«formats“\Ý==Ž› b«"“as“\·«",‘±\Ý!=Ž˜«"“as“\·6«=",‘±and“\Ý!Ž‘Æe«"“as“\·:«".‘U.ProgrammersŽ¡who–UUuse“these“tokš¸ãens“m˜ust“t˜ypGe“them“as“\Ý==Ž› b«",“\Ý!=Ž˜«,“and“\È!«".Ž¡‘ The–ïÏfolloš¸ãwing“formatting“commands“are“for“t˜ypGes“de ned“in“¬C‘€Ÿÿ®+‘ÿ+ŽŽ›6ï«or“in“the“¬C‘€Ÿÿ®+‘ÿ+ŽŽ˜«Standard“Library‘ÿ*ª,‘but“notŽ¡handled–UUcorrectly“b¸ãy“Ècweave«.ަ‘ ÂformatŽ‘3c(ÏbitsetŽ‘T.#intŽŽ¡‘ @@ -57,36 +57,36 @@ ÂformatŽ‘3c(Ïve‘ÿ}'ctorŽ‘W?0intŽŽŽŽŒ‹÷ Šn ý‘ì·x«4›­3DLDFPR•ÃŽG’® F“ORMA‘ÿJªTTING‘ÕXCOMMANDS˜«3Ž €n ý•@PÂ4.‘ ü«This–±Àsection“conš¸ãtains“commands“for“inputting“the“ÈCWEB‘±¨«source“ les,‘ÈÚwhic˜h“are“in˜visible“in“the“Ècweaveޤ «output.Ž©ŸÂ5.› üPreproQÇcessor–ÕTv‘ÿ\rariables“and“library“ les˜(Èloader.webÂ).‘%#á«This–UUÈCWEB“« le“generates“no“¬C‘€Ÿÿ®+‘ÿ+ŽŽŽ¡«coGde,›A¸but–<Ðonly“the“header“ le“Èloader.h«,˜whic¸ãh“loads“the“library“header“ les.‘i›The“latter“is“included“in“all“ofŽ¡the–UUw¸ãeb“ les.Ž¡‘ This–5tseemed“likš¸ãe“a“go•Go“d–5tidea“at“the“time,‘;Ôbut“no˜w“I‘5ldon't“think“it“w˜as.‘g'TO‘5lDO:“Change“this,‘;Ôso“that“theŽ¡individual–ônCWEB›ôV les“load“the“library“header“ les“that“they“need.‘QzOnly“the“ones“that“all“of“the“CWEB˜ lesŽ¡really–UUneed“should“remain“in“this“ le.‘qÇ[¬LDF‘T2003.08.25.«]ŽŽ¡‘ [¬LDF‘T2002.10.15.«]Ž‘XxIt–Åw¸ãould,›áôof“course,˜bšGe“p˜ossible“to“put“this“co˜de“inš¸ãto“a“Ý.hŽ‘š« le“directly‘ÿ*ª,‘áôbut“it's“con˜v˜enien˜tŽ¡to›UUha•¸ãv“e˜a˜ÈCWEB˜« le˜so˜that˜it˜can˜bGe˜ÝcweavedŽ‘+ðý«along˜with˜the˜rest˜of˜3DLDF.Ž¡‘ -[¬LDF‘T2003.07.18.«]Ž‘Y;Set–MUthe“preproGcessor“macro“ÝLDF_GCC_3_3Ž‘@àñ«to“1“in“order“to“compile“using“gcc“v¸ãersion“3.3Ž¡20030226–=„(prerelease)“(SuSE›=HLin¸ãux).‘*TSet“it“to“0“in“order“to“compile“using“GCC˜v¸ãersion“2.95.3“20010315Ž¡(SuSE).–UUThis“can“bšGe“faster“than“using“GCC“3.3,“esp˜ecially“with“resp˜ect“to“linking.ŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +[¬LDF‘T2003.07.18.«]Ž‘Y;Set–MUthe“preproGcessor“macro“ÝLDF_GCC_3_3Ž‘@àñ«to“1“in“order“to“compile“using“gcc“v¸ãersion“3.3Ž¡20030226–=„(prerelease)“(SuSE›=HLin¸ãux).‘*TSet“it“to“0“in“order“to“compile“using“GCC˜v¸ãersion“2.95.3“20010315Ž¡(SuSE).–UUThis“can“bšGe“faster“than“using“GCC“3.3,“esp˜ecially“with“resp˜ect“to“linking.ŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.08.21.«]Ž‘YSÝNoš¸ãw– ÷including“Èplfmvar.h«.‘T¬It“con˜tains“#Âde neŽ‘!éx«and“#ÂundefŽ‘!>Ì«preproGcessor“commandsŽ¡for–^àconditional“compilation.‘ŽgThere's“a“di erenš¸ãt“v˜ersion“of“this“ le“in“eac˜h“of“the“subGdirectories“used“forŽ¡compiling–UUwith“a“di erenš¸ãt“com˜bination“of“opGerating“system,“compiler,“and“compiler“v˜ersion.Ž¡‘ [¬LDF‘T2003.07.25.«]Ž‘Y;MoGdi ed–UUthe“conditional“constructions“go•¸ãv“erning–UUcompilation“sligh¸ãtly‘ÿ*ª.Ž¡‘ [¬LDF‘T2003.08.14.«]Ž‘Z3£Noš¸ãw–€½including“Ègetopt.h“«for“the“GCC‘€pv˜ersions“under“Lin˜ux.‘óÿIt's“for“proGcessing“theŽ¡command–UUline“options.Ž¡‘ [¬LDF‘T2003.08.14.«]Ž‘Z›No¸ãw–_µincluding“Èstreambuf.h«,›¢Lif“ÝLDF_GCC_2_95Ž‘HE®«is“de ned,˜otherwise“Èios«.‘æThis“is“forŽ¡stream‘UUformatting.Ž¡‘ [¬LDF‘T2003.08.29.«]Ž‘YFdRemo•¸ãv“ed–“~Ègetopt.h“«to“Èmain.web«,‘£bGecause“it's“only“used“there.‘,ATO‘“nDO:“Mo•¸ãv“e–“~the“restŽ¡of–UUthe“include“commands“to“the“ les“where“they're“needed,“Âand–ÕTget“rid“of“this“ le«.Ž¡‘ [¬LDF‘T2003.09.03.«]Ž‘YÎAdded–9#Âde neŽ‘"cºÝLDF_PUBLICŽ‘[…=«in“order“to“bGe“able“to“conditionally“include“Èplfmvar.h«.Ž¡The–latter“is“not“included“in“the“v¸ãersion“for“distribution.‘ïInstead,‘‰…the“preproGcessor“v‘ÿqÇariables“are“de ned“orŽ¡unde ned‘UUhere.Ž¡‘ -[¬LDF‘T2003.11.12.«]Ž‘ZCáRemo•¸ãv“ed–ûthe“vš¸ãersion“con˜trol“iden˜ti ers“from“the“CWEB‘© les“for“the“distribution“ofŽ¡3DLDF–UU1.1.‘qÇThey're“still“used“in“mš¸ãy“dev˜elopmen˜t“v˜ersions.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽŸ6.– üCon guration‘æÕ le.“«This–dsection“includes“Èconfig.h«,‘h[whicš¸ãh“is“generated“b˜y“ÝconfigureŽ‘3*Ú«.‘ŸoThis“is“newŽ¡in–Zâ3DLDF‘Zá1.1.‘‚nThe“ÝconfigureŽ‘6|«script“generated“bš¸ãy“AutoGconf“tests“whether“certain“library“ les“are“presen˜t,Ž¡and–œÿde nes“preprošGcessor“v‘ÿqÇariables“in“Èconfig.h“«accordingly‘ÿ*ª.‘HÅThese“can“b˜e“used“for“conditionally“compilingŽ¡coGde,›­uso–›Õthat“library“ les“are“only“included“if“they“are“really“presen•¸ãt.‘EGHo“w“ev“er,˜it–›Õwill“bGe“necessary“to“addŽ¡coGde–‚ofor“handling“the“case“that“they“aren't“presen•¸ãt.‘+{I›‚9ha“v“en't–‚odone“this“y¸ãet,‘¬although“I˜ha•¸ãv“e–‚oput“in“conditionalŽ¡coGde–UUusing“these“v‘ÿqÇariables“in“a“couple“of“places.›qÇTO“DO:“W‘ÿ*ªork“on“this.˜[¬LDF‘T2003.11.12.«]ŽŽ¡‘ -Auto•Gconf›do“es˜not˜p“er˜default˜c•¸ãhec“k˜the˜v“ersion˜of˜the˜compiler˜that's˜used,‘0íand˜I'm˜not˜sure˜whetherŽ¡this–ë¡wš¸ãould“really“bGe“sensible.‘4¬3DLDF‘ë{already“con˜tains“conditionally“compiled“coGde“based“on“whether“theŽ¡DEC›…–¬C‘€Ÿÿ®+‘ÿ+ŽŽ‘Í«compiler,‘Òor–…åthe“GNU˜¬C‘€Ÿÿ®+‘ÿ+ŽŽ‘Í«compiler“(GCC)˜vš¸ãersion“2.95“or“v˜ersion“3.3“is“used.‘vIf“the“DECŽ¡compiler–›Úis“used,‘í{the“preprošGcessor“v‘ÿqÇariables“ÝLDF_GCC_2_95Ž‘H½ø«or“ÝLDF_GCC_3_3Ž‘C}û«m¸ãust“b˜e“unde ned“b¸ãy“handŽ¡bGelo¸ãw.›ÄIt–Æde nes“Ý__DECCXXŽ‘2€«itself.˜If“GCC‘Åûis“used,›âIone“of“them“m¸ãust“bGe“de ned,˜and“the“other“unde ned.Ž¡P¸ãer–à default,‘÷÷ÝLDF_GCC_3_3Ž‘@Þ«is“de ned“and“ÝLDF_GCC_2_95Ž‘EG„«is“unde ned.‘JàThis“is“bGecause“GCC‘à‚3.3“is,‘÷÷in“general,Ž¡an›ßüimpro•¸ãv“emen“t˜o“v“er˜GCC›ߨ2.95.‘»Ho“w“ev“er,‘¥I˜usually–ßüuse“GCC˜2.95“mš¸ãyself,‘¥bGecause“linking“is“signi can˜tlyŽ¡faster–UUon“the“computer“I“use.‘qÇ[¬LDF‘T2003.11.12.«]ŽŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.11.12.«]Ž‘Y;Added–UUthis“section.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽŽŽŒ‹ Šn ý‘ì«4–­CONFIGURA‘ÿJªTION‘ÕXFILE’cr3DLDFPRÃŽG“·x«6Ž €n ý•@P·h‘ª¨Ýloader.hŽ‘5°ù­6‘ª¨·i‘Çޤ «#ÂincludeŽ‘'Ø~Ý"config.h"ŽŽŸ ­See–ÕXalso“sections“7,“8,“and“9.ŽŸÂ7.‘ üLibrary‘ÕT les.ŽŸ·h‘ª¨Ýloader.hŽ‘5°ù­6‘ª¨·i‘Ç«+·Ž¡«#Âde neŽ‘!ÖÝLDF_PUBLICŽŽ¡«#ÂifdefŽ‘áeÝLDF_PUBLICŽŽ¡«#Âde neŽ‘!ÖÝ_GNU_SOURCEŽŽ¡«#Âde neŽ‘!ÖÝLDF_GCC_3_3ŽŽ¡«#ÂundefŽ‘ ó*ÝLDF_GCC_2_95ŽŽ¡«#ÂundefŽ‘ ó*Ý__DECCXXŽ‘_y{ó  b> +[¬LDF‘T2003.11.12.«]Ž‘ZCáRemo•¸ãv“ed–ûthe“vš¸ãersion“con˜trol“iden˜ti ers“from“the“CWEB‘© les“for“the“distribution“ofŽ¡3DLDF–UU1.1.‘qÇThey're“still“used“in“mš¸ãy“dev˜elopmen˜t“v˜ersions.ަŸüÈ„`ÕÁGŽŽŸÂ6.– üCon guration‘æÕ le.“«This–dsection“includes“Èconfig.h«,‘h[whicš¸ãh“is“generated“b˜y“ÝconfigureŽ‘3*Ú«.‘ŸoThis“is“newŽ¡in–Zâ3DLDF‘Zá1.1.‘‚nThe“ÝconfigureŽ‘6|«script“generated“bš¸ãy“AutoGconf“tests“whether“certain“library“ les“are“presen˜t,Ž¡and–œÿde nes“preprošGcessor“v‘ÿqÇariables“in“Èconfig.h“«accordingly‘ÿ*ª.‘HÅThese“can“b˜e“used“for“conditionally“compilingŽ¡coGde,›­uso–›Õthat“library“ les“are“only“included“if“they“are“really“presen•¸ãt.‘EGHo“w“ev“er,˜it–›Õwill“bGe“necessary“to“addŽ¡coGde–‚ofor“handling“the“case“that“they“aren't“presen•¸ãt.‘+{I›‚9ha“v“en't–‚odone“this“y¸ãet,‘¬although“I˜ha•¸ãv“e–‚oput“in“conditionalŽ¡coGde–UUusing“these“v‘ÿqÇariables“in“a“couple“of“places.›qÇTO“DO:“W‘ÿ*ªork“on“this.˜[¬LDF‘T2003.11.12.«]ŽŽ¡‘ +Auto•Gconf›do“es˜not˜p“er˜default˜c•¸ãhec“k˜the˜v“ersion˜of˜the˜compiler˜that's˜used,‘0íand˜I'm˜not˜sure˜whetherŽ¡this–ë¡wš¸ãould“really“bGe“sensible.‘4¬3DLDF‘ë{already“con˜tains“conditionally“compiled“coGde“based“on“whether“theŽ¡DEC›…–¬C‘€Ÿÿ®+‘ÿ+ŽŽ‘Í«compiler,‘Òor–…åthe“GNU˜¬C‘€Ÿÿ®+‘ÿ+ŽŽ‘Í«compiler“(GCC)˜vš¸ãersion“2.95“or“v˜ersion“3.3“is“used.‘vIf“the“DECŽ¡compiler–›Úis“used,‘í{the“preprošGcessor“v‘ÿqÇariables“ÝLDF_GCC_2_95Ž‘H½ø«or“ÝLDF_GCC_3_3Ž‘C}û«m¸ãust“b˜e“unde ned“b¸ãy“handŽ¡bGelo¸ãw.›ÄIt–Æde nes“Ý__DECCXXŽ‘2€«itself.˜If“GCC‘Åûis“used,›âIone“of“them“m¸ãust“bGe“de ned,˜and“the“other“unde ned.Ž¡P¸ãer–à default,‘÷÷ÝLDF_GCC_3_3Ž‘@Þ«is“de ned“and“ÝLDF_GCC_2_95Ž‘EG„«is“unde ned.‘JàThis“is“bGecause“GCC‘à‚3.3“is,‘÷÷in“general,Ž¡an›ßüimpro•¸ãv“emen“t˜o“v“er˜GCC›ߨ2.95.‘»Ho“w“ev“er,‘¥I˜usually–ßüuse“GCC˜2.95“mš¸ãyself,‘¥bGecause“linking“is“signi can˜tlyŽ¡faster–UUon“the“computer“I“use.‘qÇ[¬LDF‘T2003.11.12.«]ŽŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.11.12.«]Ž‘Y;Added–UUthis“section.ަŸüÈ„`ÕÁGŽŽŽŽŒ‹è Šn ý‘ì«4–­CONFIGURA‘ÿJªTION‘ÕXFILE’cr3DLDFPRÃŽG“·x«6Ž €n ý•@P·h‘ª¨Ýloader.hŽ‘5°ù­6‘ª¨·i‘Çޤ «#ÂincludeŽ‘'Ø~Ý"config.h"ŽŽŸ ­See–ÕXalso“sections“7,“8,“and“9.ŽŸÂ7.‘ üLibrary‘ÕT les.ŽŸ·h‘ª¨Ýloader.hŽ‘5°ù­6‘ª¨·i‘Ç«+·Ž¡«#Âde neŽ‘!ÖÝLDF_PUBLICŽŽ¡«#ÂifdefŽ‘áeÝLDF_PUBLICŽŽ¡«#Âde neŽ‘!ÖÝ_GNU_SOURCEŽŽ¡«#Âde neŽ‘!ÖÝLDF_GCC_3_3ŽŽ¡«#ÂundefŽ‘ ó*ÝLDF_GCC_2_95ŽŽ¡«#ÂundefŽ‘ ó*Ý__DECCXXŽ‘_y{ó  b> -cmmi10±=·‘ÿý«Just–UUto“bGe“extra“sure.‘qÇ[¬LDF‘T2003.09.03.«]Ž‘U$©·±=Ž¡«#ÂelseŽ‘&Øà±=·‘ÿý«Do‘UUnothing.‘o·±=Ž¡«#ÂendifŽŽ¡«#ÂifdefŽ‘áeÝ__DECCXXŽŽ¡«#Âde neŽ‘!ÖÝ__USE_STD_IOSTREAMŽ’”¤ ±=·‘ÿý«Needed–UUfor“"sstream"“bGelo¸ãw.‘o·±=Ž¡«#ÂendifŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂifdefŽ‘áeÝ__GNUC__ŽŽ¡«#ÂifŽ‘ ´øÝHAVE_FLOAT_HŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽ‘kžÌ±=·‘ÿý«[¬LDF‘T2002.12.13.«]Ž‘T7Needed–UUfor“ÝFLT_MAXŽ‘(›¨«.‘o·±=Ž¡«#ÂendifŽŽ¡«#ÂendifŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂifdefŽ‘áeÝLDF_GCC_2_95Ž‘ngª±=·‘ÿý«F‘ÿ*ªor–UUstream“formatting.‘qÇ[¬LDF‘T2003.08.14.«]Ž‘U$©·±=Ž¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂelseŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂendifŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂifdefŽ‘áeÝ__DECCXXŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂelseŽŽ¡«#ÂifdefŽ‘áeÝLDF_GCC_3_3ŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂelseŽŽ¡«#ÂifdefŽ‘áeÝLDF_GCC_2_95ŽŽ¡«#ÂifŽ‘ ´øÝHAVE_LIMITS_HŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂendifŽŽ¡«#ÂendifŽŽ¡«#ÂendifŽŽ¡«#ÂendifŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂifdefŽ‘áeÝLDF_GCC_3_3ŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽŽŽŒ‹1 Šn ý‘ì·x«7–­3DLDFPRÃŽG’4˜ŠLIBRAR‘ÿJªY‘ÕXFILES“«5Ž €n ý•@P#ÂelseŽŽ¤ «#ÂifdefŽ‘áeÝLDF_GCC_2_95ŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂendifŽŽ¡«#ÂendifŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂifdefŽ‘áeÝ__GNUC__ŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂendifŽŽ¡«#ÂifŽ‘ ´øÝHAVE_STDLIB_HŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂendifŽŽŸ8.‘ üÈstreambuf.h–K«is“included“abGo•¸ãv“e,–ˆ†if‘KÝLDF_GCC_2_95Ž‘Hp«is›Kde ned,“instead˜of˜Èios«,“whic¸ãh˜is˜included˜in˜allŽ¡other‘UUcases.‘qÇ[¬LDF‘T2003.08.14.«]ŽŽŸ·h‘ª¨Ýloader.hŽ‘5°ù­6‘ª¨·i‘Ç«+·Ž¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽŽŽŒ‹8J Šn ý‘ì«6–­LIBRAR‘ÿJªY‘ÕXFILES’4˜Š3DLDFPRÃŽG“·x«9Ž €n ý•@PÂ9.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ -«[¬LDF‘T2003.07.18.«]Ž‘X–yAdded–ã“\ÂusingŽ‘áÄnamespaceŽ‘W|ÏstdŽ‘e$Š«".‘KÜThis“is“needed“with“GCC›ãv3.3,‘úSbut“not“with“GCC˜2.95Ž¡or–UUthe“DEC“C++“compiler.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h‘ª¨Ýloader.hŽ‘5°ù­6‘ª¨·i‘Ç«+·ޤ ‘ -ÂusingŽ‘(S‡namespaceŽ‘a÷stdŽ‘qïà«;ŽŸÂ10.– üGlobal‘ÕTitems“(Èpspglb.webÂ).‘$I÷«Tš¸ãypGedefs,–UUglobal“v‘ÿqÇariables“and“constan˜ts,“and“some“non-classŽ¡functions.‘qÇ(Èpspglb.web«.)ŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +cmmi10±=·‘ÿý«Just–UUto“bGe“extra“sure.‘qÇ[¬LDF‘T2003.09.03.«]Ž‘U$©·±=Ž¡«#ÂelseŽ‘&Øà±=·‘ÿý«Do‘UUnothing.‘o·±=Ž¡«#ÂendifŽŽ¡«#ÂifdefŽ‘áeÝ__DECCXXŽŽ¡«#Âde neŽ‘!ÖÝ__USE_STD_IOSTREAMŽ’”¤ ±=·‘ÿý«Needed–UUfor“"sstream"“bGelo¸ãw.‘o·±=Ž¡«#ÂendifŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂifdefŽ‘áeÝ__GNUC__ŽŽ¡«#ÂifŽ‘ ´øÝHAVE_FLOAT_HŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽ‘kžÌ±=·‘ÿý«[¬LDF‘T2002.12.13.«]Ž‘T7Needed–UUfor“ÝFLT_MAXŽ‘(›¨«.‘o·±=Ž¡«#ÂendifŽŽ¡«#ÂendifŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂifdefŽ‘áeÝLDF_GCC_2_95Ž‘ngª±=·‘ÿý«F‘ÿ*ªor–UUstream“formatting.‘qÇ[¬LDF‘T2003.08.14.«]Ž‘U$©·±=Ž¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂelseŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂendifŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂifdefŽ‘áeÝ__DECCXXŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂelseŽŽ¡«#ÂifdefŽ‘áeÝLDF_GCC_3_3ŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂelseŽŽ¡«#ÂifdefŽ‘áeÝLDF_GCC_2_95ŽŽ¡«#ÂifŽ‘ ´øÝHAVE_LIMITS_HŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂendifŽŽ¡«#ÂendifŽŽ¡«#ÂendifŽŽ¡«#ÂendifŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂifdefŽ‘áeÝLDF_GCC_3_3ŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽŽŽŒ‹0  Šn ý‘ì·x«7–­3DLDFPRÃŽG’4˜ŠLIBRAR‘ÿJªY‘ÕXFILES“«5Ž €n ý•@P#ÂelseŽŽ¤ «#ÂifdefŽ‘áeÝLDF_GCC_2_95ŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂendifŽŽ¡«#ÂendifŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂifdefŽ‘áeÝ__GNUC__ŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂendifŽŽ¡«#ÂifŽ‘ ´øÝHAVE_STDLIB_HŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂendifŽŽŸ8.‘ üÈstreambuf.h–K«is“included“abGo•¸ãv“e,–ˆ†if‘KÝLDF_GCC_2_95Ž‘Hp«is›Kde ned,“instead˜of˜Èios«,“whic¸ãh˜is˜included˜in˜allŽ¡other‘UUcases.‘qÇ[¬LDF‘T2003.08.14.«]ŽŽŸ·h‘ª¨Ýloader.hŽ‘5°ù­6‘ª¨·i‘Ç«+·Ž¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽ¡«#ÂincludeŽ‘'Ø~ÝŽŽŽŽŒ‹7Ë Šn ý‘ì«6–­LIBRAR‘ÿJªY‘ÕXFILES’4˜Š3DLDFPRÃŽG“·x«9Ž €n ý•@PÂ9.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¤ ‘ +«[¬LDF‘T2003.07.18.«]Ž‘X–yAdded–ã“\ÂusingŽ‘áÄnamespaceŽ‘W|ÏstdŽ‘e$Š«".‘KÜThis“is“needed“with“GCC›ãv3.3,‘úSbut“not“with“GCC˜2.95Ž¡or–UUthe“DEC“C++“compiler.ޤŸüÈ„`ÕÁGŽŽ¡·h‘ª¨Ýloader.hŽ‘5°ù­6‘ª¨·i‘Ç«+·ޤ ‘ +ÂusingŽ‘(S‡namespaceŽ‘a÷stdŽ‘qïà«;ŽŸÂ10.– üGlobal‘ÕTitems“(Èpspglb.webÂ).‘$I÷«Tš¸ãypGedefs,–UUglobal“v‘ÿqÇariables“and“constan˜ts,“and“some“non-classŽ¡functions.‘qÇ(Èpspglb.web«.)ŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.11.12.«]Ž‘ZCáRemo•¸ãv“ed–ûthe“vš¸ãersion“con˜trol“iden˜ti ers“from“the“CWEB‘© les“for“the“distribution“ofŽ¡3DLDF–UU1.1.1.‘qÇThey're“still“used“in“mš¸ãy“dev˜elopmen˜t“v˜ersions.Ž¡‘ -[¬LDF‘T2003.12.01.«]Ž‘Y$Put–R>the“vš¸ãersion“con˜trol“iden˜ti ers“bac˜k“in˜to“the“release“v˜ersions,‘RÜbGecause“I'v˜e“put“themŽ¡in–UUtheir“oš¸ãwn“R˜CS“repGository‘ÿ*ª.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h‘ª¨«V‘ÿ*ªersion–UUconš¸ãtrol“iden˜ti er‘@­10‘ª¨·i‘ÇŽŸ ‘ -ÂstaticŽ‘)HÚstringŽ‘Jn'Ïr‘ÿ}'cs‘‰ffŽ‘®idŽ‘g(«=‘ÇÝ"$Id:È Ýpspglb.web,vÈ Ý1Ž‘kÆÜ.5È Ý2003/12/01È Ý19:56:Ž’ÔÆ 32È Ýlfinsto1È ÝExpÈ Ý$"Ž’3ÌÒ«;ޤ ­See– -also“sections“37,–C54,“120,“196,“205,“262,“591,“615,“652,“935,“970,“1054,“1096,“1229,“1275,“1289,“1398,“1406,“1424,“1490,Ž© -‘and‘ÕX1497.Ž¡This–Àèco‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +[¬LDF‘T2003.12.01.«]Ž‘Y$Put–R>the“vš¸ãersion“con˜trol“iden˜ti ers“bac˜k“in˜to“the“release“v˜ersions,‘RÜbGecause“I'v˜e“put“themŽ¡in–UUtheir“oš¸ãwn“R˜CS“repGository‘ÿ*ª.ޤŸüÈ„`ÕÁGŽŽ¡·h‘ª¨«V‘ÿ*ªersion–UUconš¸ãtrol“iden˜ti er‘@­10‘ª¨·i‘ÇŽŸ ‘ +ÂstaticŽ‘)HÚstringŽ‘Jn'Ïr‘ÿ}'cs‘‰ffŽ‘®idŽ‘g(«=‘ÇÝ"$Id:È Ýpspglb.web,vÈ Ý1Ž‘kÆÜ.10È Ý2003/12/10È Ý16:34Ž’ÔÆ :02È Ýlfinsto1È ÝExpÈ Ý$"Ž’9 Ï«;ޤ ­See– +also“sections“37,–C54,“120,“196,“205,“262,“591,“615,“652,“938,“973,“1057,“1101,“1234,“1280,“1294,“1403,“1411,“1429,“1495,Ž© +‘and‘ÕX1502.Ž¡This–ÀècoŽŽ¤ ­See– +also“sections“38,–C55,“121,“197,“206,“263,“592,“616,“653,“939,“974,“1058,“1102,“1235,“1281,“1295,“1404,“1412,“1430,“1496,ަ‘and‘ÕX1503.Ž¡This–Àèco„`ÊŽŽ¡‘ -formatŽ‘3c(Ïr–ÿ}'e“alŽ‘L¹â o‘ÿ}'atŽŽ¤ ‘ +[¬LDF‘T2003.06.03.«]Ž‘Y;Added‘UUÏr–ÿ}'e“al‘‰ffŽ‘®shortŽ‘-Ȭ«.‘qÇIt's–UUthe“return“t¸ãypGe“of“ÂPlaneŽ‘!6¼«::‘Ïget‘‰ffŽ‘®distanc‘ÿ}'eŽ‘5y½«(‘ª®).ޤŸüÈ„`ÕÁGŽŽ¡‘ +ÂformatŽ‘3c(Ïr–ÿ}'e“alŽ‘L¹â o‘ÿ}'atŽŽ¤ ‘ ÂformatŽ‘3c(Ïr–ÿ}'e“al‘‰ffŽ‘®p“airŽ‘aq…r–ÿ}'e“alŽŽ¡‘ ÂformatŽ‘3c(Ïb–ÿ}'o“ol‘‰ffŽ‘®p“airŽ‘bV€r–ÿ}'e“al‘‰ffŽ‘®p“airŽŽ¡‘ -ÂformatŽ‘3c(Ïr–ÿ}'e“al‘‰ffŽ‘®p“airŽ‘aq…r–ÿ}'e“al‘‰ffŽ‘®shortŽŽ¡‘ -ÂformatŽ‘3c(ÏMatrixŽ‘Z intŽŽŽŽŒ‹;] Šn ý‘ì·x«12–­3DLDFPRÃŽG’¨ÓTYPE‘ÕXDEFINITIONS“«7Ž €n ý•@PÂ#de neŽ‘/|ÝLDF_REAL_FLOATŽ’d«1ŽŽ¤ Â#de neŽ‘/|ÝLDF_REAL_DOUBLEŽ’†¤ «0ŽŽ©ηh–ª¨«T¸ãypGe‘UUde nitions‘@­12“·i‘ÇŽ¡«#ÂifŽ‘ ´øÝLDF_REAL_FLOATŽŽ¡‘ +ÂformatŽ‘3c(Ïr–ÿ}'e“al‘‰ffŽ‘®p“airŽ‘aq…r–ÿ}'e“al‘‰ffŽ‘®shortŽŽŽŽŒ‹:Þ Šn ý‘ì·x«12–­3DLDFPRÃŽG’¨ÓTYPE‘ÕXDEFINITIONS“«7Ž €n ý•@P‘ +ÂformatŽ‘3c(ÏMatrixŽ‘Z intŽŽ¤ Â#de neŽ‘/|ÝLDF_REAL_FLOATŽ’d«1ŽŽ¡Â#de neŽ‘/|ÝLDF_REAL_DOUBLEŽ’†¤ «0ŽŽ©·h–ª¨«T¸ãypGe‘UUde nitions‘@­12“·i‘ÇŽ¡«#ÂifŽ‘ ´øÝLDF_REAL_FLOATŽŽ¡‘ Ât®9ypQÇedefŽ‘4_š oatŽ‘N{©realŽ‘aÙ‚«;Ž¡#ÂelifŽ‘,ÝLDF_REAL_DOUBLEŽŽ¡‘ Ât®9ypQÇedefŽ‘4_šdoubleŽ‘Y©àrealŽ‘m¹«;Ž¡#ÂelseŽŽ¡‘ t®9ypQÇedefŽ‘4_š oatŽ‘N{©realŽ‘aÙ‚«;Ž¡#ÂendifŽŽ¡‘ @@ -94,42 +94,59 @@ Ât®9ypQÇedefŽ‘4_špairŽ‘HÛ«·hÂrealŽ‘]Ù±;‘ª¨ÂrealŽ‘·i‘UUÂrealu½‰™šs4Ž‘ÔwpairŽ‘/p«;Ž¡‘ Ât®9ypQÇedefŽ‘4_špairŽ‘HÛ«·hÂrealŽ‘]Ù±;‘ª¨ÂsignedŽ‘%žshortŽ‘?ì·i‘UUÂrealu½‰™šs4Ž‘ÔwshortŽ‘5i¾«;Ž¡‘ Ât®9ypQÇedefŽ‘4_špairŽ‘HÛ«·hÂb•QÇo“olŽ‘L±;‘ª¨Âb•QÇo“olŽ‘ö¹·i‘UUÂb•QÇo“olu½‰™šs4Ž‘ÔwpairŽ‘2^¹«;Ž¡‘ -Ât®9ypQÇedefŽ‘4_špairŽ‘HÛ«·hÂb•QÇo“olŽ‘L±;‘ª¨ÂrealŽ‘·i‘UUÂb•QÇo“olu½‰™šs4Ž‘ÔwrealŽ‘1@«;ޤ έSee–ÕXalso“sections“267,“268,“270,“and“272.Ž¡This–ÕXco‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +g«;ŽŸ ­This–ÕXco„`ÊŽŽ¦·h–ª¨«Global‘UUv‘ÿqÇariables‘@­15“·i‘ÇŽ¡‘ -Âv‘ÿ\ralarra®9yŽ‘3ZB·hÂrealŽ‘]Ù·i‘UUÏnul‘‚Øl‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Ib:«(4Ž‘);Ž¡#ÂifdefŽ‘áeÝ__DECCXXŽŽ¡‘ +A‹It“also“doGesn't“w˜ork“to“use“ÝMAX_REALŽ‘5Í/«=‘žÝINVALID_REALŽ‘I ^·Ž¡Ïr–ÿ}'e“al‘‰ffŽ‘®limitsŽ‘,À#±:ÏminŽ‘%«(‘ª¨).ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Global‘UUv‘ÿqÇariables‘@­15“·i‘ÇŽ¡‘ +Âv‘ÿ\ralarra®9yŽ‘3ZB·hÂrealŽ‘]Ù·i‘UUÏnul‘‚Øl‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Ib:«(4Ž‘);ޤ ­See–ÕXalso“sections“16,“17,“39,“189,“257,“and“586.Ž¡This–ÕXco‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.08.14.«]Ž‘Y;Added‘UUÝVERBOSE_GLOBALŽ‘P°è«and‘UUÝSILENT_GLOBALŽ‘H–«.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Global‘UUv‘ÿqÇariables‘@­15“·i‘Ç«+·Ž¡‘ +ÂexternŽ‘.×constŽ‘LHyrealŽ‘bû§ÝINVALID_REALŽ’¥I«=‘ÇÏr–ÿ}'e“al‘‰ffŽ‘®limitsŽ‘/‡;±:ÏmaxŽ‘¤›«(‘ª¨);Ž¡#ÂelseŽŽ¡«#ÂifŽ‘ ´øÝLDF_REAL_DOUBLEŽŽ¡‘ +ÂexternŽ‘.×constŽ‘LHyrealŽ‘bû§ÝINVALID_REALŽ’¥I«=‘ÇÝDBL_MAXŽ‘( k«;Ž¡#ÂelseŽ‘&Øà±=·‘ÿýÝLDF_REAL_FLOATŽ‘O;«,–UUor“not“spGeci ed.‘qÇLDF“2003.12.08.‘o·±=Ž¡‘ +ÂexternŽ‘.×constŽ‘LHyrealŽ‘bû§ÝINVALID_REALŽ’¥I«=‘ÇÝFLT_MAXŽ‘( k«;Ž¡#ÂendifŽŽ¡«#ÂendifŽŽ¡«#ÂifŽ‘ ´øÝLDF_REAL_DOUBLEŽŽ¡‘ +ÂrealŽ‘ ³/±dŽ‘(®¹«=‘ÇÝINVALID_REALŽ‘BM\«;Ž¡‘ +ÂrealŽ‘ ³/·Ž‘%³0ÏdpŽ‘3ך«=‘Ç&Ž‘ +Ž6±dŽ‘¨«;Ž¡‘ +ÂunsignedŽ‘:7longŽ‘S]ËlongŽ‘l„‡·Ž‘q„ˆÏipŽ‘}’«=‘ÇÂrein®9terpretu½‰™šs4Ž‘ÔwcastŽ‘R‚•·hÂunsignedŽ‘07longŽ‘I]ÊlongŽ‘b„†·Ž‘g„‡i«(ÏdpŽ‘ ]R«);Ž¡‘ +ÂunsignedŽ‘:7longŽ‘S]ËlongŽ‘l„‡±iŽ‘r½“«=–Ç(·Ž‘ÏipŽ‘Qó«)“·«=ŽŽ‘l1Ž‘m;Ž¡‘ +ÂbitsetŽ‘&èÜ·h«8Ž‘8á·‘8àÂsizeofŽ‘C«(ÂunsignedŽ‘07longŽ‘I]ÊlongŽ‘_/1«)·i‘UU±bŽ‘ +g«=‘DZiŽ‘9 «;Ž¡‘ +ÂexternŽ‘.×constŽ‘LHyrealŽ‘bû§ÝMAX_REALŽ’I«=‘Ç·Ž‘Ç«(Ârein®9terpretu½‰™šs4Ž‘ÔwcastŽ‘O»}·hÂrealŽ‘³.·Ž‘³/i«(&Ž‘Ç±iŽ‘ 9«));Ž¡#ÂelseŽ‘&Øà±=·‘ÿýÝLDF_REAL_FLOATŽ‘O;«,–UUor“not“spGeci ed.‘qÇLDF“2003.12.08.‘o·±=Ž¡‘ +ÂrealŽ‘ ³/±fŽ‘)s-«=‘ÇÝINVALID_REALŽ‘BM\«;Ž¡‘ +ÂrealŽ‘ ³/·Ž‘%³0ÏfpŽ‘1Ì:«=‘Ç&Ž‘ +Ž6±fŽ‘‡«;Ž¡‘ +ÂunsignedŽ‘:7longŽ‘S]Ë·Ž‘X]ÌÏipŽ‘dvÖ«=‘ÇÂrein®9terpretu½‰™šs4Ž‘ÔwcastŽ‘R‚•·hÂunsignedŽ‘07longŽ‘I]Ê·Ž‘N]Ëi«(ÏfpŽ‘ Qò«);Ž¡‘ +ÂunsignedŽ‘:7longŽ‘S]˱iŽ‘Y–׫=–Ç(·Ž‘ÏipŽ‘Qó«)“·«=ŽŽ‘l1Ž‘m;Ž¡‘ +ÂbitsetŽ‘&èÜ·h«8Ž‘8á·‘8àÂsizeofŽ‘C«(ÂunsignedŽ‘07longŽ‘Fu«)·i‘UU±bŽ‘ +g«=‘DZiŽ‘9 «;Ž¡‘ +ÂexternŽ‘.×constŽ‘LHyrealŽ‘bû§ÝMAX_REALŽ’I«=‘Ç·Ž‘Ç«(Ârein®9terpretu½‰™šs4Ž‘ÔwcastŽ‘O»}·hÂrealŽ‘³.·Ž‘³/i«(&Ž‘Ç±iŽ‘ 9«));Ž¡#ÂendifŽŽŽŽŒ‹ Uw Šn ý‘ì·x«17›­3DLDFPR•ÃŽG’<½F“OR‘ÕXCOMPILA‘ÿJªTION˜«9Ž €n ý•@PÂ17.‘ ü«[¬LDF‘T2003.08.14.«]Ž‘ZùìÝVERBOSE_GLOBALŽ’¨Ç5«is‘Ç ÏfalseŽ‘=Z«bš¸ãy–Ç default.‘ÆêIt“is“set“to“ÏtrueŽ‘R®«b˜y“the“command“line“optionޤ \È--verbose«".‘qÇIf‘UUÝVERBOSE_GLOBALŽ‘P°è«is‘UUÏtrueŽ›í«,–UUthe“loGcal“Ïverb‘ÿ}'oseŽ‘'<«v‘ÿqÇariables“in“functions“are“set“to“ÏtrueŽ˜«.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.08.14.«]Ž‘Y;Added‘UUÝVERBOSE_GLOBALŽ‘P°è«and‘UUÝSILENT_GLOBALŽ‘H–«.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Global‘UUv‘ÿqÇariables‘@­15“·i‘Ç«+·ޤ ‘ Âb•QÇo“olŽ‘#¡gÝVERBOSE_GLOBALŽ‘pn½«=‘ÇÏfalseŽ‘v\«;Ž¡‘ -Âb•QÇo“olŽ‘#¡gÝSILENT_GLOBALŽ‘k.À«=‘ÇÏfalseŽ‘v\«;ŽŸÂ18.ަ·h›ª¨«Declarations–UUfor“the“header“ le‘@­18˜·i‘ÇŽ¡‘ +Âb•QÇo“olŽ‘#¡gÝSILENT_GLOBALŽ‘k.À«=‘ÇÏfalseŽ‘v\«;Ž©Â18.ŽŸ·h›ª¨«Declarations–UUfor“the“header“ le‘@­18˜·i‘ÇŽ¡‘ ÂexternŽ‘.×b•QÇo“olŽ‘G¿=ÝVERBOSE_GLOBALŽ’‘Å{«;Ž¡‘ -ÂexternŽ‘.×b•QÇo“olŽ‘G¿=ÝSILENT_GLOBALŽ’Œ…~«;ޤ ­See–ÕXalso“sections“20,“23,“27,“190,“192,“258,“275,“587,“611,“and“648.Ž¡This–ÕXco‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ© ‘ -«[¬LDF‘T2003.08.14.«]Ž‘Y;Added‘UUÝVERSION_3DLDFŽ‘Kpë«and‘UUÝCOPYRIGHT_3DLDFŽ‘R›«.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Global‘UUconstan¸ãts‘@­19“·i‘Çަ‘ -ÂexternŽ‘.×constŽ‘LHystringŽ‘mmÆÝVERSION_3DLDFŽ’´û«=‘ÇÝ"1.1.3"Ž‘( k«;ަ‘ +ÂexternŽ‘.×b•QÇo“olŽ‘G¿=ÝSILENT_GLOBALŽ’Œ…~«;ޤ ­See–ÕXalso“sections“20,“23,“27,“190,“192,“258,“275,“587,“611,“and“648.Ž¡This–ÕXco‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ -«[¬LDF‘T2003.11.28.«]Ž‘YæiChanged‘3ƒÝVERSION_3DLDFŽ‘M-G«from–3ƒa“ÂrealŽ‘Äß«to“a“ÂstringŽ‘"{«.‘ RThis“is“necessary‘ÿ*ª,‘kbGecause“I‘3Jno¸ãwަha•¸ãv“e›UUv“ersions˜with˜three˜digits˜separated˜b“y˜p•Gerio“ds.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h›ª¨«Declarations–UUfor“the“header“ le‘@­18˜·i‘Ç«+·ަ‘ +ÂexternŽ‘.ÔconstŽ‘M´óstringŽ‘o}ÝDISCLAIMER_3DLDFŽ’È †«=‘öÑÝ"3DLDFÈ ÝcomesÈ ÝwithÈ ÝABŽ‘lö•SOLUTELYÈ ÝNOÈ ÝWARRANTYŽ’ÕöY\ŽŽ¦‘;\nforÈ ÝdetailsÈ ÝseeÈ ÝtŽ’†ÿÇheÈ ÝfileÈ ÝCOPYING,\nwhŽ’ïÿ‹ichÈ ÝyouÈ ÝshouldÈ ÝhaveÈ Ž’XÿOÝreceived\ninÈ ÝtheÈ ÝdisŽ’Áÿ\ŽŽ¦‘tributionÈ ÝofÈ Ý3DLDFÈ Ý1Ž’†ÿÇ.1.4\nThisÈ ÝisÈ ÝfreeÈ ÝsŽ’ïÿ‹oftware,È ÝandÈ ÝyouÈ ÝareŽ’XÿOÈ Ýwelcome\ntoÈ ÝredistrŽ’Áÿ\ŽŽ¦‘ibuteÈ ÝitÈ ÝunderÈ ÝcertaŽ’†ÿÇinÈ Ýconditions;\nforÈ Ž’ïÿ‹Ýdetails,È Ýagain,È ÝseeÈ Ž’XÿOÝtheÈ ÝfileÈ ÝCOPYING.\n\Ž’Áÿ\ŽŽ¦‘nPleaseÈ ÝsendÈ ÝbugÈ ÝrepŽ’†ÿÇortsÈ ÝtoÈ ÝtheÈ ÝauthorÈ ÝaŽ’ïÿ‹t:\n\nEmail:È ÝlfinŽ’XÿOsto1@gwdg.de\nÈ Ž’ÁÿÝ\ŽŽ¦‘È ÝorÈ Ýs246794@stud.Ž’†ÿÇuni-goettingen.de\nWŽ’ïÿ‹ebÈ Ýsite:È Ýhttp:://wwwŽ’XÿOuser.gwdg.de/~lfinstŽ’Áÿo1"Ž’ÒEr«;ޤ ­See–ÕXalso“sections“25,“26,“115,“191,“and“274.Ž¡This–ÕXco‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ -«[¬LDF‘T2003.08.14.«]Ž‘Zp†Put–½ this“function“declaration“in“·h›ª¨«Declare“utilit¸ãy“functions‘@­21˜·i«.‘ª©F–ÿ*ªormerly“,‘³it–½ w¸ãas“inަ·h›ª¨«Declarations–UUfor“the“header“ le‘@­18˜·i«.ަ‘ -Changed–9the“conditional“from“#ÂifdefŽ‘ÅÝ__GNUC__Ž‘H…z«to“#ÂifdefŽ‘ÅÝLDF_GCC_2_95Ž‘ZKá«,‘?bGecause“the“library“v¸ãersion“ofަÏtruncŽ‘4;«(‘ª®)–UUis“found“when“compiling“with“GCC“3.3“under“Lin¸ãux.Ž¡ŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h›ª¨«Declare–UUutilit¸ãy“functions‘@­21˜·i‘Çަ«#ÂifdefŽ‘áeÝLDF_GCC_2_95ŽŽ¦‘ -ÂdoubleŽ‘/JGÏtruncŽ‘G~‚«(ÂdoubleŽ‘%JF±dŽ‘*~¸«);ަ#ÂendifŽŽ¤ ­See–ÕXalso“sections“29“and“31.Ž¡This–ÕXco‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ -«[¬LDF‘T2003.08.14.«]Ž‘Z²ePut–ÿthis“function“de nition“inš¸ãto“·h‘ª¨«De ne“utilit˜y“functions‘@­22‘ª¨·i«.‘ pEF–ÿ*ªormerly“,‘j it–ÿw˜as“inŽ¡·h–ª¨«Global‘UUv‘ÿqÇariables‘@­15“·i«.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h›ª¨«De ne–UUutilit¸ãy“functions‘@­22˜·i‘Çޤ «#ÂifdefŽ‘ ÝLDF_GCC_2_95Ž‘n’W±=·‘*ª«KLUDGE!!‘ñÍ[¬LDF‘T2002.12.1.«]Ž‘O„¶ÏtruncŽ‘g¸ñ«(‘ª®)–€isn't“aš¸ãv‘ÿqÇailable“on“the“Lin˜ux“mac˜hineŽ¡‘gwdg-wb02.gwdg.de!‘qÇFind–UUout“wh¸ãy“not!‘o·±=Ž¡‘ +ÂexternŽ‘.×constŽ‘LHystringŽ‘mmÆÝDISCLAIMER_3DLDFŽ’Áóþ«;ŽŽŽŒ‹ +g¾ Šn ý‘ì«10›­F•ÃŽOR‘ÕXCOMPILA‘ÿJªTION’<¼3DLDFPR“G˜·x«21Ž €n ý•@PÂ21.‘ ü«TO‘îDO:–î)Find“out“whš¸ãy“the“library“v˜ersion“of“ÏtruncŽ‘"d«(‘ª®)“can't“bGe“found“in“the“v˜ersion“for“GCC‘î2.95“underޤ Lin¸ãux!‘qÇ[¬LDF‘T2002.12.10.«]ŽŽ¡‘ +The–UUproblem“doGesn't“exist“for“GCC“3.3“under“Lin¸ãux.‘qÇ[¬LDF‘T2003.08.14.«]ŽŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.08.14.«]Ž‘Zp†Put–½ this“function“declaration“in“·h›ª¨«Declare“utilit¸ãy“functions‘@­21˜·i«.‘ª©F–ÿ*ªormerly“,‘³it–½ w¸ãas“inŽ¡·h›ª¨«Declarations–UUfor“the“header“ le‘@­18˜·i«.Ž¡‘ +Changed–9the“conditional“from“#ÂifdefŽ‘ÅÝ__GNUC__Ž‘H…z«to“#ÂifdefŽ‘ÅÝLDF_GCC_2_95Ž‘ZKá«,‘?bGecause“the“library“v¸ãersion“ofŽ¡ÏtruncŽ‘4;«(‘ª®)–UUis“found“when“compiling“with“GCC“3.3“under“Lin¸ãux.ޤŸüÈ„`ÕÁGŽŽ¡·h›ª¨«Declare–UUutilit¸ãy“functions‘@­21˜·i‘Çޤ «#ÂifdefŽ‘áeÝLDF_GCC_2_95ŽŽ¡‘ +ÂdoubleŽ‘/JGÏtruncŽ‘G~‚«(ÂdoubleŽ‘%JF±dŽ‘*~¸«);Ž¡#ÂendifŽŽ¤ ­See–ÕXalso“sections“29“and“31.Ž¡This–ÕXco«v‘ÿqÇalue.‘ -ÝMAX_REAL_SQRTŽ‘Pøa«is“con•¸ãv“enien“t–pto“ha•¸ãv“e–pfor“testing“whenŽ¡computing‘UUdistances.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +ÝMAX_REAL_SQRTŽ‘Pøa«is“con•¸ãv“enien“t–pto“ha•¸ãv“e–pfor“testing“whenŽ¡computing‘UUdistances.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.09.25.«]Ž‘YâñAdded–0 this“section.‘èPreviously‘ÿ*ª,‘f¸I‘/Òdeclared“and“initialized“mš¸ãy“global“constan˜ts“in“theŽ¡header–%> le.‘ áThis“meanš¸ãt“that“eac˜h“compilation“unit“that“loaded“Èpspglb.h“«had“its“o˜wn“v˜ersion“of“ÝPIŽ‘+ «,Ž¡ÝINVALID_REALŽ‘?†D«,‘¹ketc.‘aýI‘¥Rdidn't–¥gknoš¸ãw“that“Ïc‘ÿ}'onstsŽ‘"ò:«had“in˜ternal“link‘ÿqÇage“b˜y“default“and“that“I‘¥Rcould“mak˜e“theirŽ¡link‘ÿqÇage–ÿ external“b¸ãy“using“ÂexternŽ‘(Æ—«in“the“declaration“with“the“initialization,‘)yand“put“a“second“declaration,Ž¡also–UUwith“ÂexternŽ‘$Ö«,“in“the“header“ le.‘qÇThis“is“what“I'vš¸ãe“done“no˜w.Ž¡‘ -[¬LDF‘T2003.06.03.«]Ž‘Y;Added‘UUÝINVALID_REAL_SHORTŽ‘b[‡«.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽŸ25.‘ üF‘ÿ +[¬LDF‘T2003.06.03.«]Ž‘Y;Added‘UUÝINVALID_REAL_SHORTŽ‘b[‡«.ަŸüÈ„`ÕÁGŽŽŸÂ25.‘ üF‘ÿ «or‘ÕTcompilation.ަ·h–ª¨«Global‘UUconstan¸ãts‘@­19“·i‘Ç«+·Ž¡‘ -ÂexternŽ‘.×constŽ‘LHyrealŽ‘bû§ÝPIŽ‘pÉ!«=‘Ç4±:«0ŽŽ‘Ç·‘8àÏatanŽ‘ªÀ«(1±:«0ŽŽ‘ Ç);ŽŽŽŒ‹ om Šn ý‘ì·x«25›­3DLDFPR•ÃŽG’<¼F“OR‘ÕXCOMPILA‘ÿJªTION˜«11Ž €n ý•@P‘ +ÂexternŽ‘.×constŽ‘LHyrealŽ‘bû§ÝPIŽ‘pÉ!«=‘Ç4±:«0ŽŽ‘Ç·‘8àÏatanŽ‘ªÀ«(1±:«0ŽŽ‘ Ç);ŽŽŽŒ‹ xµ Šn ý‘ì«12›­F•ÃŽOR‘ÕXCOMPILA‘ÿJªTION’<¼3DLDFPR“G˜·x«25Ž €n ý•@P‘ ÂexternŽ‘.×constŽ‘LHyrealu½‰™šs4Ž‘ÔwpairŽ‘{¸úÝINVALID_REAL_PAIRŽ’Õ/«(ÝINVALID_REALŽ‘?†D±;‘ª¨ÝINVALID_REALŽ‘A0ì«);ޤ ‘ ÂexternŽ‘.×constŽ‘LHyrealu½‰™šs4Ž‘ÔwshortŽ’²7ÝINVALID_REAL_SHORTŽ’à¸i«(ÝINVALID_REALŽ‘?†D±;‘ª¨«0Ž‘ª©);Ž¡#ÂifdefŽ‘áeÝ__DECCXXŽŽ¡‘ ÂexternŽ‘.×constŽ‘LHyrealŽ‘bû§ÝMAX_REAL_SQRTŽ’ª‰«=‘ÇÏsqrtŽ‘w«(ÝMAX_REALŽ‘*†P«);Ž¡#ÂendifŽŽ©26.‘ ü«[¬LDF‘T2002.12.10.«]Ž‘Zˆ6URš¸ãGENT:–UUFind“out“wh˜y“ÏsqrtŽ‘N«(‘ª®)“doGesn't“w˜ork.ŽŸ·h–ª¨«Global‘UUconstan¸ãts‘@­19“·i‘Ç«+·Ž¡«#ÂifdefŽ‘áeÝ__GNUC__ŽŽ¡‘ @@ -152,22 +169,22 @@ ÂexternŽ‘.×constŽ‘LHyrealu½‰™šs4Ž‘ÔwpairŽ‘{¸úÝINVALID_REAL_PAIRŽ’Õ/«;Ž¡‘ ÂexternŽ‘.×constŽ‘LHyrealu½‰™šs4Ž‘ÔwshortŽ’²7ÝINVALID_REAL_SHORTŽ’à¸i«;Ž¡‘ ÂexternŽ‘.×constŽ‘LHyrealŽ‘bû§ÝMAX_REALŽ’÷«;Ž¡‘ -ÂexternŽ‘.×constŽ‘LHyrealŽ‘bû§ÝMAX_REAL_SQRTŽ’§Áè«;ަÂ28.‘ üUtilit®9y‘ÕTfunctions.ަ29.› üSolv®9e–´ùquadratic“equation.˜«[¬LDF‘T2002.09.03.«]Ž‘ZlTO‘9+DO:–93Ma¸ãybGe“add“functions“for“solving“cubic“andŽ¡quartic–UUequations,“if“this“is“practicable.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.06.1.«]Ž‘Th=Changed–UUreturn“tš¸ãypGe“from“ÂpairŽ‘Ñf·hÂrealŽ‘]Ù±;‘ª¨ÂrealŽ‘·i“«to“Ârealu½‰™šs4Ž‘ÔwpairŽ‘/p«,“whic˜h“is“equiv‘ÿqÇalen˜t.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h›ª¨«Declare–UUutilit¸ãy“functions‘@­21˜·i‘Ç«+·ŽŸ ‘ -Ârealu½‰™šs4Ž‘ÔwpairŽ‘9p‚Ïsolve‘‰ffŽ‘®quadr‘ÿ}'aticŽ‘{%<«(ÂrealŽ‘³.±aŽ‘ü^;‘ª¨ÂrealŽ‘]Ö±bŽ‘¨€;‘ª¨ÂrealŽ‘]Ö±cŽ‘±±«);ŽŽŽŒ‹ ~± Šn ý‘ì«12‘­SOL‘ÿ8VE–ÕXQUADRA›ÿJªTIC“EQUA˜TION’ç’˜3DLDFPRÃŽG‘·x«30Ž €n ý•@PÂ30.Ž©·h›ª¨«De ne–UUutilit¸ãy“functions‘@­22˜·i‘Ç«+·ޤ ‘ +ÂexternŽ‘.×constŽ‘LHyrealŽ‘bû§ÝMAX_REAL_SQRTŽ’§Áè«;ަÂ28.‘ üUtilit®9y‘ÕTfunctions.ަ29.› üSolv®9e–´ùquadratic“equation.˜«[¬LDF‘T2002.09.03.«]Ž‘ZlTO‘9+DO:–93Ma¸ãybGe“add“functions“for“solving“cubic“andŽ¡quartic–UUequations,“if“this“is“practicable.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.06.1.«]Ž‘Th=Changed–UUreturn“tš¸ãypGe“from“ÂpairŽ‘Ñf·hÂrealŽ‘]Ù±;‘ª¨ÂrealŽ‘·i“«to“Ârealu½‰™šs4Ž‘ÔwpairŽ‘/p«,“whic˜h“is“equiv‘ÿqÇalen˜t.ޤŸüÈ„`ÕÁGŽŽ¡·h›ª¨«Declare–UUutilit¸ãy“functions‘@­21˜·i‘Ç«+·ŽŸ ‘ +Ârealu½‰™šs4Ž‘ÔwpairŽ‘9p‚Ïsolve‘‰ffŽ‘®quadr‘ÿ}'aticŽ‘{%<«(ÂrealŽ‘³.±aŽ‘ü^;‘ª¨ÂrealŽ‘]Ö±bŽ‘¨€;‘ª¨ÂrealŽ‘]Ö±cŽ‘±±«);ŽŽŽŒ‹ ‡¤ Šn ý‘ì·x«30‘­3DLDFPRÃŽG’ç’˜SOL‘ÿ8VE–ÕXQUADRA›ÿJªTIC“EQUA˜TION‘«13Ž €n ý•@PÂ30.Ž©·h›ª¨«De ne–UUutilit¸ãy“functions‘@­22˜·i‘Ç«+·ޤ ‘ Ârealu½‰™šs4Ž‘ÔwpairŽ‘9p‚Ïsolve‘‰ffŽ‘®quadr‘ÿ}'aticŽ‘{%<«(ÂrealŽ‘³.±aŽ‘ü^;‘ª¨ÂrealŽ‘]Ö±bŽ‘¨€;‘ª¨ÂrealŽ‘]Ö±cŽ‘±±«)Ž¡‘ ·fŽ¡‘Ârealu½‰™šs4Ž‘ÔwpairŽ‘Cpƒ±pŽ‘Hxƒ«;ަ‘ÂtryŽ‘)3·fŽ¡‘±pŽ‘#:Ï rstŽ‘|«=‘Ç(·Ž‘DZbŽ‘J¨«+‘8àÏsqrtŽ‘èÙ«((±bŽ–ƒŠ·‘8à±bŽ“«)–8à·“«(4Ž›8á·“±aŽ‘ ºð·“±cŽ‘Œ»«)))±=«(2Ž˜·“±aŽ‘‚«);Ž¡‘·gަ‘Âcatc®9hŽ‘.í׫(–ª¨±:“:“:Ž‘ÿ÷«)Ž¡‘·fŽ¡‘±pŽ‘#:Ï rstŽ‘|«=‘ÇÝINVALID_REALŽ‘BM\«;Ž¡‘·gަ‘ÂtryŽ‘)3·fŽ¡‘±pŽ‘#:Ïse–ÿ}'c“ondŽ‘ nß«=‘Ç(·Ž‘DZbŽ‘J¨·‘8àÏsqrtŽ‘èÙ«((±bŽ–ƒŠ·‘8à±bŽ“«)–8à·“«(4Ž›8á·“±aŽ‘ ºð·“±cŽ‘Œ»«)))±=«(2Ž˜·“±aŽ‘‚«);Ž¡‘·gަ‘Âcatc®9hŽ‘.í׫(–ª¨±:“:“:Ž‘ÿ÷«)Ž¡‘·fŽ¡‘±pŽ‘#:Ïse–ÿ}'c“ondŽ‘ nß«=‘ÇÝINVALID_REALŽ‘BM\«;Ž¡‘·gަ‘ÂreturnŽ‘7æ¼±pŽ‘<;Ž¡‘ ·gŽŸÂ31.– üDynamic‘{TalloQÇcation.“«[¬LDF‘T2002.10.02.«]Ž‘[TO›å‰DO:–å®T‘ÿ*ªry“to“get“this“to“w•¸ãork.‘"ÒI˜ha“v“en't–å®bGeen“able“toŽ¡get–UUthis“template“function“to“instan¸ãtiate“correctly‘ÿ*ª.ަ·h›ª¨«Declare–UUutilit¸ãy“functions‘@­21˜·i‘Ç«+·Ž¡«#ÂifŽ‘ ´ø«0ŽŽ¡‘ ÂtemplateŽ‘6Ñ_·hÂclassŽ‘àQ±CŽ‘"½·i‘UU±CŽ‘ 2!·Ž‘2"Ïcr–ÿ}'e“ate‘‰ffŽ‘®newŽ‘?Áæ«(±CŽ‘ -¬·‘8à±cŽ‘ SÓ«=‘Ç0Ž‘Ç);Ž¡#ÂendifŽŽŽŽŒ‹ †Ø Šn ý‘ì·x«32›­3DLDFPR•ÃŽG’èD“YNAMIC‘ÕXALLOCA‘ÿJªTION˜«13Ž €n ý•@PÂ32.Ž©·h›ª¨«De ne–UUutilit¸ãy“functions‘@­22˜·i‘Ç«+·ޤ «#ÂifŽ‘ ´ø«0ŽŽ¡‘ +¬·‘8à±cŽ‘ SÓ«=‘Ç0Ž‘Ç);Ž¡#ÂendifŽŽŽŽŒ‹  Šn ý‘ì«14›­D•ÃŽYNAMIC‘ÕXALLOCA‘ÿJªTION’è3DLDFPR“G˜·x«32Ž €n ý•@PÂ32.Ž©·h›ª¨«De ne–UUutilit¸ãy“functions‘@­22˜·i‘Ç«+·ޤ «#ÂifŽ‘ ´ø«0ŽŽ¡‘ ÂtemplateŽ‘6Ñ_·hÂclassŽ‘àQ±CŽ‘"½·i‘UU±CŽ‘ 2!·Ž‘2"Ïcr–ÿ}'e“ate‘‰ffŽ‘®newŽ‘?Áæ«(±CŽ‘ ¬·‘8à±cŽ‘Œ»«)Ž¡‘ ·fŽ¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"InÈ Ýcreate_new.\n"Ž‘d”b·‘ÇÏ ushŽ‘€«;Ž¡‘±CŽ‘®·‘8àÏnew‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ‘BùŠ«=‘ÇÂnewŽ‘zG«(±CŽ‘ÜÌ«);Ž¡‘ÂifŽ‘´ú«(±cŽ‘ó·6«=‘Ç0Ž–Ç)‘·Ž‘ Ïnew‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ‘JÀ««=‘Ç·Ž“±cŽ‘ ô«;Ž¡‘Ïnew‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ‘Où”Ÿ±~ŽŽ‘Uù•Ïset‘‰ffŽ–®on‘‰ffŽ“fr–ÿ}'e“e‘‰ffŽ‘®stor“eŽ’Ol«(Ïtrueޑƫ);Ž¡‘ÂreturnŽ‘7æ¼Ïnew‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ‘uàN«;Ž¡‘ ·gŽ¡«#ÂendifŽŽŸ33.– üF‘ÿ -«orw®9ard‘üfdeclarations.“«[¬LDF‘T2002.10.16.«]Ž‘Zª/In–wNthe“ les“that“are“compiled“ rst,‘Ìsome“classes“refer“toŽ¡other–[classes“that“ha•¸ãv“en't–[bšGeen“de ned“y•¸ãet.‘]tF‘ÿ*ªorw“ard–[declarations“mak¸ãe“it“p˜ossible“to“do“this.‘]tTO‘KDO:“GETŽ¡CIT–ÿ*ªA“TION–UUfrom“Stroustrup.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +«orw®9ard‘üfdeclarations.“«[¬LDF‘T2002.10.16.«]Ž‘Zª/In–wNthe“ les“that“are“compiled“ rst,‘Ìsome“classes“refer“toŽ¡other–[classes“that“ha•¸ãv“en't–[bšGeen“de ned“y•¸ãet.‘]tF‘ÿ*ªorw“ard–[declarations“mak¸ãe“it“p˜ossible“to“do“this.‘]tTO‘KDO:“GETŽ¡CIT–ÿ*ªA“TION–UUfrom“Stroustrup.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.04.10.«]Ž‘YÔöAdded–"the“forw¸ãard“declaration“of“Âb•QÇo“olu½‰™šs4Ž–Ôwrealu½‰™šs4Ž“pQÇoin®9tŽ‘Qq«.‘×øIt's“needed“bGecause“it's“used“asŽ¡the–sreturn“v‘ÿqÇalue“of“ÂP•®9oin“tŽ‘¿«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ‘N–Ú«(‘ª®),›Ówhic¸ãh“is,˜of“course,˜declared“within“the“declaration“of“ÂclassŽŽ¡P•®9oin“tŽ‘šH«.›g~Ho•¸ãw“ev“er,‘&aÂb•QÇo“olu½‰™šs4Ž–Ôwrealu½‰™šs4Ž“pQÇoin®9tŽ‘UT«can–ü’only“bGe“de ned“Ïafter‘ÂP•®9oin“tŽ‘$¦ù«is“de ned.˜This“forw¸ãard“declarationŽ¡solv¸ães–UUthe“problem.Ž¡‘ -[¬LDF‘T2003.07.16.«]Ž‘Xî¿Added–;Ùforwš¸ãard“declaration“of“ÂEllipseŽ‘%$²«.‘iHIt's“needed,‘@òbGecause“I'v˜e“declared“ÂEllipseŽ‘(`‹«to“bGeŽ¡a‘!ÂfriendŽ›$S«of‘!ÂP®9athŽ‘²x«.‘`\F–ÿ*ªormerly“,‘+‡ÂCircleŽ‘$¯Ç«w¸ãas–!a“ÂfriendŽ˜«of“ÂP®9athŽ‘²x«,‘+‡but“noš¸ãw“it“m˜ust“bšGe“ÂEllipseŽ‘% í«,‘+‡b˜ecause“I'v¸ãe“madeŽ¡the–UU\segmen¸ãt"“functions“Ïse‘ÿ}'gmentŽ‘'Jö«(›ª®),“ÏhalfŽ‘Îë«(˜),“and“ÏquarterŽ‘$Z›«(˜)“mem¸ãbGers“of“ÂEllipseŽ‘(“ƒ«instead“of“ÂCircleŽ‘!¸«.ަŸüÈ„`Ê‘ 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+[¬LDF‘T2003.08.17.«]Ž‘Y;Made‘UUÏsilentŽ‘a¾«non-ÂconstŽ‘ÕM«.‘qÇSetting–UUit“to“ÏtrueŽ›í«,“if“ÝSILENT_GLOBALŽ‘Kpë«is“ÏtrueŽ˜«.ަŸüÈ„`ÕÁGŽŽ¦·h›ª¨«Declare–UUI/O“functions‘@­42˜·i‘Ç«+·Ž¡‘ +Âv®9oidŽ‘"ýÙÏb–ÿ}'e“gin gŽ‘Dz«(ÂunsignedŽ‘07shortŽ‘N±±iŽ‘Qs¥;‘ª¨Âb•QÇo“olŽ‘LÏsilentŽ‘6Ê:«=‘ÇÏfalseŽ‘v\«);ŽŽŽŒ‹Ä• Šn ý‘ì·x«48–­3DLDFPRÃŽG’,\ÎBEGIN‘ÕXFIGURE“«19Ž €n ý•@PÂ48.Ž©·h›ª¨«De ne–UUI/O“functions‘@­43˜·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙÏb–ÿ}'e“gin gŽ‘Dz«(ÂunsignedŽ‘07shortŽ‘N±±iŽ‘Qs¥;‘ª¨Âb•QÇo“olŽ‘LÏsilentŽ‘4"«)Ž¡‘ ·fŽ¡‘ÂifŽ‘´ú«(ÝSILENT_GLOBALŽ‘DÆA«)‘ÏsilentŽ‘ ~,«=‘ÇÏtrueŽ‘‹°«;Ž¡‘Ï g‘‰ffŽ‘®numŽ‘9í«=‘DZiŽ‘9 «;Ž¡‘Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘F¶·‘ÇÝ"beginfig("Ž‘?Ôw·‘ÇÏ g‘‰ffŽ‘®numŽ‘'ç·‘ÇÝ");\n"Ž‘"Ín«;Ž¡‘ÂifŽ‘´ú«(·:ÏsilentŽ‘·«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"BeginningÈ ÝfigureÈ Ý"Ž‘iÔ_·‘ÇÏ g‘‰ffŽ‘®numŽ‘'ç·‘ÇÝ"."Ž‘Ô·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘4‘g«;Ž¡‘ -·gŽŸÂ49.– üEnd‘=Õ gure.“«The‘јÂunsignedŽ‘2„éshortŽ‘OËÏ«argumenš¸ãt–јis“\syn˜tactic“sugar".‘EÞIt's“ignored“b˜y“Ïend gޑū(‘ª®),‘ëñbut“ma˜yŽ¡bGe›UUcon•¸ãv“enien“t˜for˜a˜user˜for˜k“eeping˜trac“k˜of˜what˜ gure˜is˜bGeing˜ended.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +·gŽŸÂ49.– üEnd‘=Õ gure.“«The‘јÂunsignedŽ‘2„éshortŽ‘OËÏ«argumenš¸ãt–јis“\syn˜tactic“sugar".‘EÞIt's“ignored“b˜y“Ïend gޑū(‘ª®),‘ëñbut“ma˜yŽ¡bGe›UUcon•¸ãv“enien“t˜for˜a˜user˜for˜k“eeping˜trac“k˜of˜what˜ gure˜is˜bGeing˜ended.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.07.16.«]Ž‘YßUAdded‘,oÏsilentŽ‘!ò«argumenš¸ãt,‘b6and–,oa“message“prin˜ted“conditionally“to“ÏstdoutŽ‘ô“«,‘b6sa˜ying“whic˜hŽ¡ gure–UUis“bšGeing“ended.‘qÇThis“should“help“in“ nding“where“errors“o˜ccur.Ž¡‘ [¬LDF‘T2003.07.16.«]Ž‘Y;Made‘UUnon-inline.Ž¡‘ -[¬LDF‘T2003.08.17.«]Ž‘Y;Made‘UUÏsilentŽ‘a¾«non-ÂconstŽ‘ÕM«.‘qÇSetting–UUit“to“ÏtrueŽ›í«,“if“ÝSILENT_GLOBALŽ‘Kpë«is“ÏtrueŽ˜«.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h›ª¨«Declare–UUI/O“functions‘@­42˜·i‘Ç«+·Ž¡‘ +[¬LDF‘T2003.08.17.«]Ž‘Y;Made‘UUÏsilentŽ‘a¾«non-ÂconstŽ‘ÕM«.‘qÇSetting–UUit“to“ÏtrueŽ›í«,“if“ÝSILENT_GLOBALŽ‘Kpë«is“ÏtrueŽ˜«.ަŸüÈ„`ÕÁGŽŽ¦·h›ª¨«Declare–UUI/O“functions‘@­42˜·i‘Ç«+·Ž¡‘ Âv®9oidŽ‘"ýÙÏend gŽ‘=ñ^«(ÂunsignedŽ‘07shortŽ‘N±±iŽ‘T:½«=‘Ç0Ž‘Ç±;‘ª¨Âb•QÇo“olŽ‘LÏsilentŽ‘6Ê:«=‘ÇÏfalseŽ‘v\«);ŽŸÂ50.ަ·h›ª¨«De ne–UUI/O“functions‘@­43˜·i‘Ç«+·Ž¡‘ Âv®9oidŽ‘"ýÙÏend gŽ‘=ñ^«(ÂunsignedŽ‘07shortŽ‘N±±iŽ‘Qs¥;‘ª¨Âb•QÇo“olŽ‘LÏsilentŽ‘4"«)Ž¡‘ ·fŽ¡‘ÂifŽ‘´ú«(ÝSILENT_GLOBALŽ‘DÆA«)‘ÏsilentŽ‘ ~,«=‘ÇÏtrueŽ‘‹°«;Ž¡‘Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘F¶·‘ÇÝ"endfig"Ž‘0€·‘ÇÝ";\n"Ž‘q«;Ž¡‘ÂifŽ‘´ú«(·:ÏsilentŽ‘·«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EndingÈ ÝfigureÈ Ý"Ž‘Zh·‘ÇÏ g‘‰ffŽ‘®numŽ‘'ç·‘ÇÝ"."Ž‘Ô·‘ÇÏend‘‚ØlŽ–ò·‘ÇÏend‘‚ØlŽ“·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘4‘g«;Ž¡‘ @@ -238,24 +257,26 @@ ·h–ª¨«Include‘UU les‘@­11“·iޤ ‘ h‘ª¨«V‘ÿ*ªersion–UUconš¸ãtrol“iden˜ti er‘@­10‘ª¨·iŽ¡‘ h–ª¨«Global‘UUv‘ÿqÇariables‘@­15“·iŽ¡‘ -h›ª¨«De ne–UUI/O“functions‘@­43˜·iŽŽŽŒ‹ÄC Šn ý‘ì·x«53›­3DLDFPRÃŽG’þê&PUTTING–ÕXI/O“TOGETHER˜«19Ž €n ý•@PÂ53.‘ ü«This–UUis“what's“written“to“Èio.h«.Ž©·h‘ª¨Ýio.hŽ‘ ±­53‘ª¨·i‘Çޤ ‘ +h›ª¨«De ne–UUI/O“functions‘@­43˜·iŽŽŽŒ‹Î Šn ý‘ì«20›­PUTTING–ÕXI/O“TOGETHER’þê&3DLDFPRÃŽG˜·x«53Ž €n ý•@PÂ53.‘ ü«This–UUis“what's“written“to“Èio.h«.Ž©·h‘ª¨Ýio.hŽ‘ ±­53‘ª¨·i‘Çޤ ‘ h‘ª¨ÂexternŽ‘%È~«v‘ÿqÇariable‘UUdeclarations‘@­40‘ª¨·iŽ¡‘ -h›ª¨«Declare–UUI/O“functions‘@­42˜·iŽŸÂ54.– üColor“(Ècolors.webÂ).ŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.11.12.«]Ž‘ZCáRemo•¸ãv“ed–ûthe“vš¸ãersion“con˜trol“iden˜ti ers“from“the“CWEB‘© les“for“the“distribution“ofŽ¡3DLDF–UU1.1.‘qÇThey're“still“used“in“mš¸ãy“dev˜elopmen˜t“v˜ersions.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h‘ª¨«V‘ÿ*ªersion–UUconš¸ãtrol“iden˜ti er‘@­10‘ª¨·i‘Ç«+·ŽŸÂ55.‘ üInclude‘ÕT les.ަ·h–ª¨«Include‘UU les‘@­11“·i‘Ç«+·Ž¡«#ÂincludeŽ‘'Ø~Ý"loader.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"pspglb.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"io.h"ŽŽŸÂ56.› üColor–xØclass“de nition.˜«[¬LDF‘T2002.09.25.«]Ž‘[f!!‘WRememš¸ãbGer–ã…to“c˜hange“the“constructors,‘setting“func-Ž¡tions,–UUand“assignmenš¸ãt“opGerator“if“I“add“or“c˜hange“an˜ything“here!!ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦ColorŽ‘>ÅH­56“·i‘ÇŽ¡‘ +h›ª¨«Declare–UUI/O“functions‘@­42˜·iŽŸÂ54.– üColor“(Ècolors.webÂ).ŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.11.12.«]Ž‘ZCáRemo•¸ãv“ed–ûthe“vš¸ãersion“con˜trol“iden˜ti ers“from“the“CWEB‘© les“for“the“distribution“ofŽ¡3DLDF–UU1.1.‘qÇThey're“still“used“in“mš¸ãy“dev˜elopmen˜t“v˜ersions.Ž¡‘ +[¬LDF‘T2003.12.10.«]Ž‘YQ‘Put–ž«the“vš¸ãersion“con˜trol“iden˜ti ers“bac˜k“in˜to“m˜y“release“v˜ersions“for“3DLDF‘ž™1.1.4.‘MÊI'v˜eŽ¡already–"¯put“some“of“them“bacš¸ãk“in,‘,Ñno˜w“I'm“doing“the“rest“of“them.‘`åHo˜w˜ev˜er,‘,Ñthe“release“v˜ersions“are“no˜w“inŽ¡their–UUoš¸ãwn“R˜CS“repGository‘ÿ*ª.ަŸüÈ„`ÕÁGŽŽ¦·h‘ª¨«V‘ÿ*ªersion–UUconš¸ãtrol“iden˜ti er‘@­10‘ª¨·i‘Ç«+·Ž¡‘ +ÂstaticŽ‘)HÚstringŽ‘Jn'Ïr‘ÿ}'cs‘‰ffŽ‘®idŽ‘g(«=‘ÇÝ"$Id:È Ýcolors.web,vÈ Ý1Ž‘kÆÜ.2È Ý2003/12/10È Ý15:22:Ž’ÔÆ 33È Ýlfinsto1È ÝExpÈ Ý$"Ž’3ÌÒ«;ŽŸÂ55.‘ üInclude‘ÕT les.ަ·h–ª¨«Include‘UU les‘@­11“·i‘Ç«+·Ž¡«#ÂincludeŽ‘'Ø~Ý"loader.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"pspglb.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"io.h"ŽŽŸÂ56.› üColor–xØclass“de nition.˜«[¬LDF‘T2002.09.25.«]Ž‘[f!!‘WRememš¸ãbGer–ã…to“c˜hange“the“constructors,‘setting“func-Ž¡tions,–UUand“assignmenš¸ãt“opGerator“if“I“add“or“c˜hange“an˜ything“here!!ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦ColorŽ‘>ÅH­56“·i‘ÇŽ¡‘ ÂclassŽ‘$àRColorŽ‘D…E·fŽ¡‘ÂstringŽ‘5%OÏnameŽ‘MëS«;Ž¡‘Âb•QÇo“olŽ‘-¡hÏuse‘‰ffŽ‘®nameŽ‘X#²«;Ž¡‘Âb•QÇo“olŽ‘-¡hÏon‘‰ffŽ›®fr–ÿ}'e“e‘‰ffŽ˜stor“eŽ‘eFZ«;‘±=·‘ÿý«LDF‘UU2002.10.06.‘qÇAdded.‘o·±=Ž¡‘ÂrealŽ‘*³0Ïr–ÿ}'e“d‘‰ffŽ‘®p“artŽ‘Mþ¶«;Ž¡‘ÂrealŽ‘*³0Ïgr–ÿ}'e“en‘‰ffŽ‘®p“artŽ‘W´¼«;Ž¡‘ÂrealŽ‘*³0Ïblue‘‰ffŽ‘®p‘ÿ}'artŽ‘R6.«;ަ‘ ÂpublicŽ‘)=Ö«:‘·h–ª¨«Declare‘UUÂColorŽ‘"úH«functions‘@­58“·iŽ¡‘ g«;ŽŸ ­This–ÕXco‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.09.25.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂColorŽ‘"úH«functions‘@­58“·i‘Ç«+·Ž¡‘ +·gޤ ­See–ÕXalso“sections“61,“64,“66,“69,“71,“74,“76,“78,“81,“83,“85,“87,“89,“91,“93,“101,“106,“and“108.Ž¡This–ÕXcoJ«=‘DZcŽ‘ó:Ïget‘‰ffŽ–®blue‘‰ffŽ“p‘ÿ}'artŽ‘7¶º«(‘ª¨);Ž¡‘ÂifŽ‘´ú«(±nŽ‘Dz·6«=‘ÇÝ""Ž‘Z·^‘8à±uŽ‘ ¹v·‘ÇÏtrueŽ‘‹°«)‘·fŽ¡‘Ïuse‘‰ffŽ‘®nameŽ‘KIe«=‘ÇÏtrueŽ‘‹°«;Ž¡‘·gŽ¡‘ÂelseŽ‘+ØáÏuse‘‰ffŽ‘®nameŽ‘Y"C«=‘ÇÏfalseŽ‘v\«;Ž¡‘Ïon‘‰ffŽ›®fr–ÿ}'e“e‘‰ffŽ˜stor“eŽ‘Nl «=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿý«LDF‘UU2002.10.06.‘qÇAdded.‘o·±=Ž¡‘ÂreturnŽ‘4‘g«;Ž¡‘ ·gޤÂ62.‘ üName–ÕTand“unsigned“short“argumen®9ts.Ž¡63.‘ üConstructor.ަ·h–ª¨«Declare‘UUÂColorŽ‘"úH«functions‘@­58“·i‘Ç«+·ޤ ‘ -ÂColorŽ‘&OŸ«(ÂconstŽ‘]stringŽ‘?´å±nŽ‘Eµ;‘ª¨ÂconstŽ‘ ÅunsignedŽ‘PqNshortŽ‘nnl±rŽ‘s8€;‘ª¨ÂconstŽ‘ ÅunsignedŽ‘PqNshortŽ‘nnl±gŽ‘sO;‘ª¨ÂconstŽ‘ ÅunsignedŽ‘PqNshortŽŽ¡‘±bŽ‘"J­;‘ª¨ÂconstŽ‘ÕJb•QÇo“olŽ‘9v°±uŽ‘A÷F«=‘ÇÏtrueŽ‘‹°«);ŽŽŽŒ‹Öù Šn ý‘ì·x«64›­3DLDFPR•ÃŽG’)B|CONSTR“UCTOR˜«21Ž €n ý•@PÂ64.Ž©·h–ª¨«De ne‘UUÂColorŽ‘"úH«functions‘@­59“·i‘Ç«+·ޤ ‘ +ÂColorŽ‘&OŸ«(ÂconstŽ‘]stringŽ‘?´å±nŽ‘Eµ;‘ª¨ÂconstŽ‘ ÅunsignedŽ‘PqNshortŽ‘nnl±rŽ‘s8€;‘ª¨ÂconstŽ‘ ÅunsignedŽ‘PqNshortŽ‘nnl±gŽ‘sO;‘ª¨ÂconstŽ‘ ÅunsignedŽ‘PqNshortŽŽ¡‘±bŽ‘"J­;‘ª¨ÂconstŽ‘ÕJb•QÇo“olŽ‘9v°±uŽ‘A÷F«=‘ÇÏtrueŽ‘‹°«);ŽŽŽŒ‹âT Šn ý‘ì«22›­CONSTR•ÃŽUCTOR’)B|3DLDFPR“G˜·x«64Ž €n ý•@PÂ64.Ž©·h–ª¨«De ne‘UUÂColorŽ‘"úH«functions‘@­59“·i‘Ç«+·ޤ ‘ ÂColorŽ‘'O£«::‘ÂColorŽ‘O¢«(ÂconstŽ‘GNstringŽ‘?‰G±nŽ‘E‰á;‘ª¨ÂconstŽ‘ñöunsignedŽ‘PE°shortŽ‘n,ÿ±rŽ‘r÷;‘ª¨ÂconstŽ‘ñöunsignedŽ‘PE°shortŽ‘n,ÿ±gŽ‘sMâ;‘ª¨ÂconstŽ‘ñöunsignedŽŽ¡‘2shortŽ‘Oʨ±bŽ‘TR;‘ª¨ÂconstŽ‘ÕJb•QÇo“olŽ‘9v°±uŽ‘?0.«)Ž¡‘ :‘qÇÏnameŽ‘7Ë«(±nŽ‘š«)‘UU·fŽ¡‘ÏnameŽ‘/«=‘DZnŽ‘Dz«;Ž¡‘ÂifŽ‘´ú«(±nŽ‘Dz·6«=‘ÇÝ""Ž‘Z·^‘8à±uŽ‘ ¹v·‘ÇÏtrueŽ‘‹°«)‘·fŽ¡‘Ïuse‘‰ffŽ‘®nameŽ‘KIe«=‘ÇÏtrueŽ‘‹°«;Ž¡‘·gŽ¡‘ÂelseŽ‘+ØáÏuse‘‰ffŽ‘®nameŽ‘Y"C«=‘ÇÏfalseŽ‘v\«;Ž¡‘Ïon‘‰ffŽ›®fr–ÿ}'e“e‘‰ffŽ˜stor“eŽ‘Nl «=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿý«LDF‘UU2002.10.06.‘qÇAdded.‘o·±=Ž¡‘Ïr–ÿ}'e“d‘‰ffŽ‘®p“artŽ‘: «=‘DZrŽ‘‘,=«255±:«0ŽŽ‘Ç!;Ž¡‘Ïgr–ÿ}'e“en‘‰ffŽ‘®p“artŽ‘CȦ«=‘DZgŽ‘çû=«255±:«0ŽŽ‘Ç!;Ž¡‘Ïblue‘‰ffŽ‘®p‘ÿ}'artŽ‘>J«=‘DZbŽ‘Â=«255±:«0ŽŽ‘Ç!;Ž¡‘ @@ -265,16 +286,16 @@ ·fŽ¡‘ÏnameŽ‘/«=‘DZnŽ‘Dz«;Ž¡‘ÂifŽ‘´ú«(±nŽ‘Dz·6«=‘ÇÝ""Ž‘Z·^‘8à±uŽ‘ ¹v·‘ÇÏtrueŽ‘‹°«)‘·fŽ¡‘Ïuse‘‰ffŽ‘®nameŽ‘KIe«=‘ÇÏtrueŽ‘‹°«;Ž¡‘·gŽ¡‘ÂelseŽ‘+ØáÏuse‘‰ffŽ‘®nameŽ‘Y"C«=‘ÇÏfalseŽ‘v\«;Ž¡‘Ïr–ÿ}'e“d‘‰ffŽ‘®p“artŽ‘: «=‘DZrŽ‘‘,=«255±:«0ŽŽ‘Ç!;Ž¡‘Ïgr–ÿ}'e“en‘‰ffŽ‘®p“artŽ‘CȦ«=‘DZgŽ‘çû=«255±:«0ŽŽ‘Ç!;Ž¡‘Ïblue‘‰ffŽ‘®p‘ÿ}'artŽ‘>J«=‘DZbŽ‘Â=«255±:«0ŽŽ‘Ç!;Ž¡‘ ·gŽ©Â67.› üThree–—Þreal“argumen®9ts.˜«[¬LDF‘T2002.10.09.«]Ž‘[1`Added–þthe“follo¸ãwing“constructor“and“setting“function.Ž¡They– äare“for“unnamed“ÂColorsŽ‘$⾫.‘tThe“DEC‘ µcompiler“can't“distinguish“bGet•¸ãw“een‘ äÂrealŽ‘q¡«and‘ äÂunsignedŽ‘4õshortŽŽ¡«argumenš¸ãts,‘óso–Û/the“o˜v˜erloaded“functions“m˜ust“di er“in“another“w˜a˜y‘ÿ*ª.‘IIn“this“case,‘óthese“v˜ersions“ha˜v˜e“no“ÏnameŽŽ¡«argumen•¸ãt.‘‘ÀI‘µ:bGeliev“e–µSthat“users“are“most“likš¸ãely“to“declare“ÂColorsŽ‘(C€«using“ÂrealŽ‘È«argumen˜ts“when“they“plan“toŽ¡moGdify–Àthem,›*xin“whic¸ãh“case“the“ÏoutputŽ‘ /«(‘ª®)“function“should“write“the“red,˜green“and“blue“v‘ÿqÇalues“to“Ïout‘‰ffŽ‘®str–ÿ}'e“amŽŽ¡«rather–e*than“ÏnameŽ‘+.«.‘¡EIf“it“turns“out“to“bšGe“necessary‘ÿ*ª,‘imore“constructors“can“b˜e“added“or“the“existing“ones“canŽ¡bGe‘UUc¸ãhanged.ަÂ68.‘ üConstructor.ŽŸ·h–ª¨«Declare‘UUÂColorŽ‘"úH«functions‘@­58“·i‘Ç«+·Ž¡‘ -ÂColorŽ‘&OŸ«(ÂconstŽ‘*¢realŽ‘4ÝбrŽ‘9§ä;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±gŽ‘;©[;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±bŽ‘:Ó"«);ŽŽŽŒ‹áÆ Šn ý‘ì«22›­CONSTR•ÃŽUCTOR’)B|3DLDFPR“G˜·x«69Ž €n ý•@PÂ69.Ž©·h–ª¨«De ne‘UUÂColorŽ‘"úH«functions‘@­59“·i‘Ç«+·ޤ ‘ +ÂColorŽ‘&OŸ«(ÂconstŽ‘*¢realŽ‘4ÝбrŽ‘9§ä;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±gŽ‘;©[;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±bŽ‘:Ó"«);ŽŽŽŒ‹ìö Šn ý‘ì·x«69›­3DLDFPR•ÃŽG’)B|CONSTR“UCTOR˜«23Ž €n ý•@PÂ69.Ž©·h–ª¨«De ne‘UUÂColorŽ‘"úH«functions‘@­59“·i‘Ç«+·ޤ ‘ ÂColorŽ‘'O£«::‘ÂColorŽ‘O¢«(ÂconstŽ‘*¢realŽ‘4ÝбrŽ‘9§ä;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±gŽ‘;©[;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±bŽ‘:Ó"«)Ž¡‘ ·fŽ¡‘ÏnameŽ‘/«=‘ÇÝ""Ž‘ Íz«;Ž¡‘Ïuse‘‰ffŽ‘®nameŽ‘AId«=‘ÇÏfalseŽ‘v\«;Ž¡‘Ïon‘‰ffŽ›®fr–ÿ}'e“e‘‰ffŽ˜stor“eŽ‘Nl «=‘ÇÏfalseŽ‘v\«;Ž¡‘ÂifŽ‘´ú«(±rŽ‘‘,<‘Ç«0Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘6F0·‘‡Ý"WARNING!È ÝInÈ ÝColor::Ž‘nKColor()È Ý(threeÈ ÝrealÈ Ž’×Ýarguments):\n"Ž’'&Ô·Ž¡‘2Ý"RedÈ ÝpartÈ ÝargumentÈ Ý<Ž’šÿÉÈ Ý0.È ÝSettingÈ Ýred_parŽ’ÿtÈ ÝtoÈ Ý0.\n\n"Ž’C…Ñ«;Ž¡‘Ïr–ÿ}'e“d‘‰ffŽ‘®p“artŽ‘D¡«=‘Ç0Ž‘Ç;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(±rŽ‘‘,>‘Ç«1Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘6F0·‘‡Ý"WARNING!È ÝInÈ ÝColor::Ž‘nKColor()È Ý(threeÈ ÝrealÈ Ž’×Ýarguments):\n"Ž’'&Ô·Ž¡‘2Ý"RedÈ ÝpartÈ ÝargumentÈ Ý>Ž’šÿÉÈ Ý1.È ÝSettingÈ Ýred_parŽ’ÿtÈ ÝtoÈ Ý1.\n\n"Ž’C…Ñ«;Ž¡‘Ïr–ÿ}'e“d‘‰ffŽ‘®p“artŽ‘D¡«=‘Ç1Ž‘Ç;Ž¡‘·gŽ¡‘ÂelseŽ‘+ØáÏr–ÿ}'e“d‘‰ffŽ‘®p“artŽ‘Që«=‘DZrŽ‘‘,«;Ž¡‘ÂifŽ‘´ú«(±gŽ‘çû<‘Ç«0Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘6F0·‘‡Ý"WARNING!È ÝInÈ ÝColor::Ž‘nKColor()È Ý(threeÈ ÝrealÈ Ž’×Ýarguments):\n"Ž’'&Ô·Ž¡‘2Ý"GreenÈ ÝpartÈ ÝargumentŽ’šÿÉÈ Ý<È Ý0.È ÝSettingÈ ÝgreenŽ’ÿ_partÈ ÝtoÈ Ý0.\n\n"Ž’X…Å«;Ž¡‘Ïgr–ÿ}'e“en‘‰ffŽ‘®p“artŽ‘Mȧ«=‘Ç0Ž‘Ç;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(±gŽ‘çû>‘Ç«1Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘6F0·‘‡Ý"WARNING!È ÝInÈ ÝColor::Ž‘nKColor()È Ý(threeÈ ÝrealÈ Ž’×Ýarguments):\n"Ž’'&Ô·Ž¡‘2Ý"GreenÈ ÝpartÈ ÝargumentŽ’šÿÉÈ Ý>È Ý1.È ÝSettingÈ ÝgreenŽ’ÿ_partÈ ÝtoÈ Ý1.\n\n"Ž’X…Å«;Ž¡‘Ïgr–ÿ}'e“en‘‰ffŽ‘®p“artŽ‘Mȧ«=‘Ç1Ž‘Ç;Ž¡‘·gŽ¡‘ÂelseŽ‘+ØáÏgr–ÿ}'e“en‘‰ffŽ‘®p“artŽ‘[¡…«=‘DZgŽ‘çû«;Ž¡‘ÂifŽ‘´ú«(±bŽ‘Â<‘Ç«0Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘6F0·‘‡Ý"WARNING!È ÝInÈ ÝColor::Ž‘nKColor()È Ý(threeÈ ÝrealÈ Ž’×Ýarguments):\n"Ž’'&Ô·Ž¡‘2Ý"BlueÈ ÝpartÈ ÝargumentÈ Ž’šÿÉÝ<È Ý0.È ÝSettingÈ Ýblue_pŽ’ÿartÈ ÝtoÈ Ý0.\n\n"Ž’NË«;Ž¡‘Ïblue‘‰ffŽ‘®p‘ÿ}'artŽ‘HJ«=‘Ç0Ž‘Ç;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(±bŽ‘Â>‘Ç«1Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘6F0·‘‡Ý"WARNING!È ÝInÈ ÝColor::Ž‘nKColor()È Ý(threeÈ ÝrealÈ Ž’×Ýarguments):\n"Ž’'&Ô·Ž¡‘2Ý"BlueÈ ÝpartÈ ÝargumentÈ Ž’šÿÉÝ>È Ý1.È ÝSettingÈ Ýblue_pŽ’ÿartÈ ÝtoÈ Ý1.\n\n"Ž’NË«;Ž¡‘Ïblue‘‰ffŽ‘®p‘ÿ}'artŽ‘HJ«=‘Ç1Ž‘Ç;Ž¡‘·gŽ¡‘ÂelseŽ‘+ØáÏblue‘‰ffŽ‘®p‘ÿ}'artŽ‘V"÷«=‘DZbŽ‘«;Ž¡‘ÂreturnŽ‘4‘g«;Ž¡‘ ·gŽŸÂ70.‘ üSetting‘ÕTfunction.ަ·h–ª¨«Declare‘UUÂColorŽ‘"úH«functions‘@­58“·i‘Ç«+·Ž¡‘ -Âv®9oidŽ‘"ýÙÏsetŽ‘0v]«(ÂconstŽ‘*¢realŽ‘4ÝбrŽ‘9§ä;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±gŽ‘;©[;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±bŽ‘:Ó"«);ŽŽŽŒ‹ï6 Šn ý‘ì·x«71–­3DLDFPRÃŽG’u@SETTING‘ÕXFUNCTION“«23Ž €n ý•@PÂ71.Ž©·h–ª¨«De ne‘UUÂColorŽ‘"úH«functions‘@­59“·i‘Ç«+·ޤ ‘ +Âv®9oidŽ‘"ýÙÏsetŽ‘0v]«(ÂconstŽ‘*¢realŽ‘4ÝбrŽ‘9§ä;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±gŽ‘;©[;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±bŽ‘:Ó"«);ŽŽŽŒ‹úf Šn ý‘ì«24–­SETTING‘ÕXFUNCTION’u@3DLDFPRÃŽG“·x«71Ž €n ý•@PÂ71.Ž©·h–ª¨«De ne‘UUÂColorŽ‘"úH«functions‘@­59“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙColorŽ‘@M{«::‘ÏsetŽ‘xˆ«(ÂconstŽ‘*¢realŽ‘4ÝбrŽ‘9§ä;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±gŽ‘;©[;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±bŽ‘:Ó"«)Ž¡‘ ·fŽ¡‘ÏnameŽ‘/«=‘ÇÝ""Ž‘ Íz«;Ž¡‘Ïuse‘‰ffŽ‘®nameŽ‘AId«=‘ÇÏfalseŽ‘v\«;Ž¡‘Ïon‘‰ffŽ›®fr–ÿ}'e“e‘‰ffŽ˜stor“eŽ‘Nl «=‘ÇÏfalseŽ‘v\«;Ž¡‘ÂifŽ‘´ú«(±rŽ‘‘,<‘Ç«0Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘6F0·‘‡Ý"WARNING!È ÝInÈ ÝColor::Ž‘nKColor()È Ý(threeÈ ÝrealÈ Ž’×Ýarguments):\n"Ž’'&Ô·Ž¡‘2Ý"RedÈ ÝpartÈ ÝargumentÈ Ý<Ž’šÿÉÈ Ý0.È ÝSettingÈ Ýred_parŽ’ÿtÈ ÝtoÈ Ý0.\n\n"Ž’C…Ñ«;Ž¡‘Ïr–ÿ}'e“d‘‰ffŽ‘®p“artŽ‘D¡«=‘Ç0Ž‘Ç;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(±rŽ‘‘,>‘Ç«1Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘6F0·‘‡Ý"WARNING!È ÝInÈ ÝColor::Ž‘nKColor()È Ý(threeÈ ÝrealÈ Ž’×Ýarguments):\n"Ž’'&Ô·Ž¡‘2Ý"RedÈ ÝpartÈ ÝargumentÈ Ý>Ž’šÿÉÈ Ý1.È ÝSettingÈ Ýred_parŽ’ÿtÈ ÝtoÈ Ý1.\n\n"Ž’C…Ñ«;Ž¡‘Ïr–ÿ}'e“d‘‰ffŽ‘®p“artŽ‘D¡«=‘Ç1Ž‘Ç;Ž¡‘·gŽ¡‘ÂelseŽ‘+ØáÏr–ÿ}'e“d‘‰ffŽ‘®p“artŽ‘Që«=‘DZrŽ‘‘,«;Ž¡‘ÂifŽ‘´ú«(±gŽ‘çû<‘Ç«0Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘6F0·‘‡Ý"WARNING!È ÝInÈ ÝColor::Ž‘nKColor()È Ý(threeÈ ÝrealÈ Ž’×Ýarguments):\n"Ž’'&Ô·Ž¡‘2Ý"GreenÈ ÝpartÈ ÝargumentŽ’šÿÉÈ Ý<È Ý0.È ÝSettingÈ ÝgreenŽ’ÿ_partÈ ÝtoÈ Ý0.\n\n"Ž’X…Å«;Ž¡‘Ïgr–ÿ}'e“en‘‰ffŽ‘®p“artŽ‘Mȧ«=‘Ç0Ž‘Ç;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(±gŽ‘çû>‘Ç«1Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘6F0·‘‡Ý"WARNING!È ÝInÈ ÝColor::Ž‘nKColor()È Ý(threeÈ ÝrealÈ Ž’×Ýarguments):\n"Ž’'&Ô·Ž¡‘2Ý"GreenÈ ÝpartÈ ÝargumentŽ’šÿÉÈ Ý>È Ý1.È ÝSettingÈ ÝgreenŽ’ÿ_partÈ ÝtoÈ Ý1.\n\n"Ž’X…Å«;Ž¡‘Ïgr–ÿ}'e“en‘‰ffŽ‘®p“artŽ‘Mȧ«=‘Ç1Ž‘Ç;Ž¡‘·gŽ¡‘ÂelseŽ‘+ØáÏgr–ÿ}'e“en‘‰ffŽ‘®p“artŽ‘[¡…«=‘DZgŽ‘çû«;Ž¡‘ÂifŽ‘´ú«(±bŽ‘Â<‘Ç«0Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘6F0·‘‡Ý"WARNING!È ÝInÈ ÝColor::Ž‘nKColor()È Ý(threeÈ ÝrealÈ Ž’×Ýarguments):\n"Ž’'&Ô·Ž¡‘2Ý"BlueÈ ÝpartÈ ÝargumentÈ Ž’šÿÉÝ<È Ý0.È ÝSettingÈ Ýblue_pŽ’ÿartÈ ÝtoÈ Ý0.\n\n"Ž’NË«;Ž¡‘Ïblue‘‰ffŽ‘®p‘ÿ}'artŽ‘HJ«=‘Ç0Ž‘Ç;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(±bŽ‘Â>‘Ç«1Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘6F0·‘‡Ý"WARNING!È ÝInÈ ÝColor::Ž‘nKColor()È Ý(threeÈ ÝrealÈ Ž’×Ýarguments):\n"Ž’'&Ô·Ž¡‘2Ý"BlueÈ ÝpartÈ ÝargumentÈ Ž’šÿÉÝ>È Ý1.È ÝSettingÈ Ýblue_pŽ’ÿartÈ ÝtoÈ Ý1.\n\n"Ž’NË«;Ž¡‘Ïblue‘‰ffŽ‘®p‘ÿ}'artŽ‘HJ«=‘Ç1Ž‘Ç;Ž¡‘·gŽ¡‘ÂelseŽ‘+ØáÏblue‘‰ffŽ‘®p‘ÿ}'artŽ‘V"÷«=‘DZbŽ‘«;Ž¡‘ ·gŽŸÂ72.‘ üPseudo-constructor–ÕTfor“dynamic“alloQÇcation.ަ·h–ª¨«Declare‘UUÂColorŽ‘"úH«functions‘@­58“·i‘Ç«+·Ž¡‘ ÂinlineŽ‘)ŠIstaticŽ‘HÓ"ColorŽ‘hx·Ž‘mxÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“c‘ÿ}'olorŽ’µË8«(‘ª¨)Ž¡‘ -·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝColor::creŽ‘kÆÜate_new_color().\n"Ž’Ð «;ަ‘ÂColorŽ‘3¤õ·Ž‘8¤ö±cŽ‘?¿é«=‘ÇÂnewŽ‘Ïœ«(ÂColorŽ‘Ož«);ަ‘±cŽ‘SÝŸ~ŽŽ‘SÞÏon‘‰ffŽ›®fr–ÿ}'e“e‘‰ffŽ˜stor“eŽ‘V¿è«=‘ÇÏtrueŽ‘‹°«;Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝColor::creaŽ‘kÆÜte_new_color().\n"Ž’ÊÍ«;ŽŽŽŒ‹úÿ Šn ý‘ì«24‘­PSEUDO-CONSTR•ÃŽUCTOR›ÕXF“OR˜D“YNAMIC˜ALLOCA‘ÿJªTION’„ 3DLDFPR“G‘·x«72Ž €n ý•@P‘ÂreturnŽ‘7æ¼±cŽ‘<:—«;ޤ ‘ +·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝColor::creŽ‘kÆÜate_new_color().\n"Ž’Ð «;ަ‘ÂColorŽ‘3¤õ·Ž‘8¤ö±cŽ‘?¿é«=‘ÇÂnewŽ‘Ïœ«(ÂColorŽ‘Ož«);ަ‘±cŽ‘SÝŸ~ŽŽ‘SÞÏon‘‰ffŽ›®fr–ÿ}'e“e‘‰ffŽ˜stor“eŽ‘V¿è«=‘ÇÏtrueŽ‘‹°«;Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝColor::creaŽ‘kÆÜte_new_color().\n"Ž’ÊÍ«;ŽŽŽŒ‹/ Šn ý‘ì·x«72‘­3DLDFPR•ÃŽG’„ PSEUDO-CONSTR“UCTOR›ÕXF“OR˜D“YNAMIC˜ALLOCA‘ÿJªTION‘«25Ž €n ý•@P‘ÂreturnŽ‘7æ¼±cŽ‘<:—«;ޤ ‘ ·gŽ©Â73.– üAssignmen®9t.“«[¬LDF‘T2002.09.24.«]Ž‘Zˆ6Added–UUthis“opGerator“function.ŽŸ·h–ª¨«Declare‘UUÂColorŽ‘"úH«functions‘@­58“·i‘Ç«+·Ž¡‘ Âv®9oidŽ‘"ýÙopQÇeratorŽ‘N”Ž«=Ž‘V[¬(ÂconstŽ‘*¢ColorŽ‘=Ï•«&Ž‘E–³±cŽ‘Iꎫ);ަÂ74.ŽŸ·h–ª¨«De ne‘UUÂColorŽ‘"úH«functions‘@­59“·i‘Ç«+·Ž¡‘ Âv®9oidŽ‘"ýÙColorŽ‘@M{«::Ž‘FÛ¹ÂopQÇeratorŽ‘rrn«=Ž‘z9Œ(ÂconstŽ‘*¢ColorŽ‘=Ï•«&Ž‘E–³±cŽ‘Iꎫ)Ž¡‘ @@ -290,7 +311,7 @@ Âb•QÇo“olŽ‘#¡gColorŽ‘@ñ «::Ž‘GGÂopQÇeratorŽ‘sü·6«=Ž‘zÝ(ÂconstŽ‘*¢ColorŽ‘=Ï•«&Ž‘E–³±cŽ‘Iꎫ)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼·:«(·Ž‘ÏthisŽ‘²Ï·‘DZcŽ‘ó«);Ž¡‘ ·gަÂ79.‘ üMoQÇdifying.ަ80.‘ üSet‘ÕTname.ŽŸ·h–ª¨«Declare‘UUÂColorŽ‘"úH«functions‘@­58“·i‘Ç«+·Ž¡‘ -Âv®9oidŽ‘"ýÙÏset‘‰ffŽ‘®nameŽ‘Kt«(ÂconstŽ‘*¢stringŽ‘?Oï±sŽ‘Cÿï«);ŽŽŽŒ‹¿ Šn ý‘ì·x«81–­3DLDFPRÃŽG’>ý–SET‘ÕXNAME“«25Ž €n ý•@PÂ81.Ž©·h–ª¨«De ne‘UUÂColorŽ‘"úH«functions‘@­59“·i‘Ç«+·ޤ ‘ +Âv®9oidŽ‘"ýÙÏset‘‰ffŽ‘®nameŽ‘Kt«(ÂconstŽ‘*¢stringŽ‘?Oï±sŽ‘Cÿï«);ŽŽŽŒ‹ï Šn ý‘ì«26–­SET‘ÕXNAME’>ý–3DLDFPRÃŽG“·x«81Ž €n ý•@PÂ81.Ž©·h–ª¨«De ne‘UUÂColorŽ‘"úH«functions‘@­59“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙColorŽ‘@M{«::‘Ïset‘‰ffŽ‘®nameŽ‘)ví«(ÂconstŽ‘*¢stringŽ‘?Oï±sŽ‘Cÿï«)Ž¡‘ ·fŽ¡‘ÏnameŽ‘/«=‘DZsŽ‘w«;Ž¡‘ ·gŽŸÂ82.‘ üSet–ÕTuse“name.ަ·h–ª¨«Declare‘UUÂColorŽ‘"úH«functions‘@­58“·i‘Ç«+·Ž¡‘ @@ -299,12 +320,12 @@ ·fŽ¡‘Ïuse‘‰ffŽ‘®nameŽ‘AId«=‘DZbŽ‘«;Ž¡‘ ·gŽŸÂ84.‘ üMoQÇdify‘ÿ «.ަ·h–ª¨«Declare‘UUÂColorŽ‘"úH«functions‘@­58“·i‘Ç«+·Ž¡‘ -Âv®9oidŽ‘"ýÙÏmo‘ÿ}'difyŽ‘ACÚ«(ÂconstŽ‘*¢realŽ‘4ÝбrŽ‘9§ä;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±gŽ‘>ps«=‘Ç0Ž–Ç±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±bŽ‘=š:«=‘Ç0Ž“);ŽŽŽŒ‹$ Šn ý‘ì«26–­MODIFY’HèJ3DLDFPRÃŽG“·x«85Ž €n ý•@PÂ85.Ž©·h–ª¨«De ne‘UUÂColorŽ‘"úH«functions‘@­59“·i‘Ç«+·ޤ ‘ +Âv®9oidŽ‘"ýÙÏmo‘ÿ}'difyŽ‘ACÚ«(ÂconstŽ‘*¢realŽ‘4ÝбrŽ‘9§ä;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±gŽ‘>ps«=‘Ç0Ž–Ç±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±bŽ‘=š:«=‘Ç0Ž“);ŽŽŽŒ‹T Šn ý‘ì·x«85–­3DLDFPRÃŽG’HèJMODIFY“«27Ž €n ý•@PÂ85.Ž©·h–ª¨«De ne‘UUÂColorŽ‘"úH«functions‘@­59“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙColorŽ‘@M{«::‘Ïmo‘ÿ}'difyŽ‘F«(ÂconstŽ‘*¢realŽ‘4ÝбrŽ‘9§ä;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±gŽ‘;©[;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±bŽ‘:Ó"«)Ž¡‘ ·fŽ¡‘Ïr–ÿ}'e“d‘‰ffŽ‘®p“artŽ‘: «+=ŽŽ‘Lgô±rŽ‘Q2«;Ž¡‘Ïgr–ÿ}'e“en‘‰ffŽ‘®p“artŽ‘CȦ«+=ŽŽ‘Vú±gŽ‘[>Ý«;Ž¡‘Ïblue‘‰ffŽ‘®p‘ÿ}'artŽ‘>J«+=ŽŽ‘PŸl±bŽ‘Tê«;Ž¡‘ÂifŽ‘´ú«(Ïr–ÿ}'e“d‘‰ffŽ‘®p“artŽ‘&ž±>‘Ç«1Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘3|Á·‘ÇÝ"WARNING!È ÝInÈ ÝColor::Ž‘kÆÜmodify():\n"Ž’®8·‘ÇÝ"red_partÈ ÝisÈ ÝgreaterŽ‘kÆÜÈ ÝthanÈ Ý1:È Ý"Ž’£”>·‘ÇÏr–ÿ}'e“d‘‰ffŽ‘®p“artŽ‘(Ù¶·Ž¡‘2Ïend‘‚ØlŽ‘H¸ß·‘ÇÝ"SettingÈ Ýred_partÈ ÝtoŽ‘kÆÜÈ Ý1.\n\n"Ž’–M,«;Ž¡‘Ïr–ÿ}'e“d‘‰ffŽ‘®p“artŽ‘D¡«=‘Ç1Ž‘Ç;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ïr–ÿ}'e“d‘‰ffŽ‘®p“artŽ‘&ž±<‘Ç«0Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘3Ù·‘#mÝ"WARNING!È ÝInÈ ÝColor::Ž‘l#1modify():\n"Ž’®Ìâ·‘#mÝ"red_partÈ ÝisÈ ÝlessÈ ÝthŽ‘l#1anÈ Ý0:È Ý"Ž’”Œñ·‘#mÏr–ÿ}'e“d‘‰ffŽ‘®p“artŽ‘)’`·Ž¡‘2Ïend‘‚ØlŽ‘H¸ß·‘ÇÝ"SettingÈ Ýred_partÈ ÝtoŽ‘kÆÜÈ Ý0.\n\n"Ž’–M,«;Ž¡‘Ïr–ÿ}'e“d‘‰ffŽ‘®p“artŽ‘D¡«=‘Ç0Ž‘Ç;Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(Ïgr–ÿ}'e“en‘‰ffŽ‘®p“artŽ‘/Ȥ±>‘Ç«1Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘4w0·‘Á‡Ý"WARNING!È ÝInÈ ÝColor::Ž‘lÁKmodify():\n"Ž—° ·‘Á‡Ý"green_partÈ ÝisÈ ÝgreatŽ‘lÁKerÈ ÝthanÈ Ý1:È Ý"Ž“·Ž¡‘2Ïgr–ÿ}'e“en‘‰ffŽ‘®p“artŽ‘aÈ©·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÝ"SettingÈ Ýgreen_partÈ Ž‘kÆÜÝtoÈ Ý1.\n\n"Ž’ Í&«;Ž¡‘Ïgr–ÿ}'e“en‘‰ffŽ‘®p“artŽ‘Mȧ«=‘Ç1Ž‘Ç;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ïgr–ÿ}'e“en‘‰ffŽ‘®p“artŽ‘/Ȥ±<‘Ç«0Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘3|Á·‘ÇÝ"WARNING!È ÝInÈ ÝColor::Ž‘kÆÜmodify():\n"Ž’®8·‘ÇÝ"green_partÈ ÝisÈ ÝlessÈ Ž‘kÆÜÝthanÈ Ý0:È Ý"Ž’žTA·‘ÇÏgr–ÿ}'e“en‘‰ffŽ‘®p“artŽ‘2¼·Ž¡‘2Ïend‘‚ØlŽ‘H¸ß·‘ÇÝ"SettingÈ Ýgreen_partÈ Ž‘kÆÜÝtoÈ Ý0.\n\n"Ž’ Í&«;Ž¡‘Ïgr–ÿ}'e“en‘‰ffŽ‘®p“artŽ‘Mȧ«=‘Ç0Ž‘Ç;Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(Ïblue‘‰ffŽ‘®p‘ÿ}'artŽ‘*J±>‘Ç«1Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘4—ø·‘âOÝ"WARNING!È ÝInÈ ÝColor::Ž‘lâmodify():\n"Ž’°J¦·‘âOÝ"blue_partÈ ÝisÈ ÝgreateŽ‘lârÈ ÝthanÈ Ý1:È Ý"Ž’« ©·Ž¡‘2Ïblue‘‰ffŽ‘®p‘ÿ}'artŽ‘\J·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÝ"SettingÈ Ýblue_partÈ ÝtŽ‘kÆÜoÈ Ý1.\n\n"Ž’›)«;Ž¡‘Ïblue‘‰ffŽ‘®p‘ÿ}'artŽ‘HJ«=‘Ç1Ž‘Ç;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ïblue‘‰ffŽ‘®p‘ÿ}'artŽ‘*J±<‘Ç«0Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘3 º·‘ëÝ"WARNING!È ÝInÈ ÝColor::Ž‘kêÕmodify():\n"Ž’®\*·‘ëÝ"blue_partÈ ÝisÈ ÝlessÈ ÝtŽ‘kêÕhanÈ Ý0:È Ý"Ž’™\6·‘ëÏblue‘‰ffŽ‘®p‘ÿ}'artŽ‘-Y ·Ž¡‘2Ïend‘‚ØlŽ‘H¸ß·‘ÇÝ"SettingÈ Ýblue_partÈ ÝtŽ‘kÆÜoÈ Ý0.\n\n"Ž’›)«;Ž¡‘Ïblue‘‰ffŽ‘®p‘ÿ}'artŽ‘HJ«=‘Ç0Ž‘Ç;Ž¡‘·gŽ¡‘ÂreturnŽ‘4‘g«;Ž¡‘ ·gŽŸÂ86.‘ üSet–ÕTred“part.ަ·h–ª¨«Declare‘UUÂColorŽ‘"úH«functions‘@­58“·i‘Ç«+·Ž¡‘ -Âv®9oidŽ‘"ýÙÏset‘‰ffŽ›®r–ÿ}'e“d‘‰ffŽ˜p“artŽ‘UúD«(ÂconstŽ‘*¢realŽ‘4ÝбrŽ‘9§ä«);ŽŽŽŒ‹V Šn ý‘ì·x«87›­3DLDFPRÃŽG’,ÏLSET–ÕXRED“P–ÿJªAR“T˜«27Ž €n ý•@PÂ87.Ž©·h–ª¨«De ne‘UUÂColorŽ‘"úH«functions‘@­59“·i‘Ç«+·ޤ ‘ +Âv®9oidŽ‘"ýÙÏset‘‰ffŽ›®r–ÿ}'e“d‘‰ffŽ˜p“artŽ‘UúD«(ÂconstŽ‘*¢realŽ‘4ÝбrŽ‘9§ä«);ŽŽŽŒ‹#† Šn ý‘ì«28›­SET–ÕXRED“P–ÿJªAR“T’,ÏL3DLDFPRÃŽG˜·x«87Ž €n ý•@PÂ87.Ž©·h–ª¨«De ne‘UUÂColorŽ‘"úH«functions‘@­59“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙColorŽ‘@M{«::‘Ïset‘‰ffŽ›®r–ÿ}'e“d‘‰ffŽ˜p“artŽ‘3üo«(ÂconstŽ‘*¢realŽ‘4ÝбrŽ‘9§ä«)Ž¡‘ ·fŽ¡‘ÂifŽ‘´ú«(±rŽ‘‘,>‘Ç«1Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘3|×·‘Ç.Ý"WARNING!È ÝInÈ ÝColor::Ž‘kÆòset_red_part():\n"Ž’Í”R·‘Ç.Ý"rÈ ÝisÈ ÝgreaterÈ ÝthanÈ Ý1Ž‘kÆò:È Ý"Ž‘~Ô·‘Ç.±rŽ‘ Xp·‘Ç.Ïend‘‚ØlŽ‘€·Ž¡‘2Ý"SettingÈ Ýred_partÈ ÝtoŽ’šÿÉÈ Ý1.\n\n"ޒņ«;Ž¡‘Ïr–ÿ}'e“d‘‰ffŽ‘®p“artŽ‘D¡«=‘Ç1Ž‘Ç;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(±rŽ‘‘,<‘Ç«0Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘3Öp·‘ ÇÝ"WARNING!È ÝInÈ ÝColor::Ž‘l ‹set_red_part():\n"Ž’ÎG„·‘ ÇÝ"rÈ ÝisÈ ÝlessÈ ÝthanÈ Ý0:È Ý"Ž‘oǺ·‘ DZrŽ‘ ¢·‘ ÇÏend‘‚ØlŽ‘3P·Ž¡‘2Ý"SettingÈ Ýred_partÈ ÝtoŽ’šÿÉÈ Ý0.\n\n"ޒņ«;Ž¡‘Ïr–ÿ}'e“d‘‰ffŽ‘®p“artŽ‘D¡«=‘Ç0Ž‘Ç;Ž¡‘·gŽ¡‘ÂelseŽ‘+ØáÏr–ÿ}'e“d‘‰ffŽ‘®p“artŽ‘Që«=‘DZrŽ‘‘,«;Ž¡‘ÂreturnŽ‘4‘g«;Ž¡‘ @@ -314,7 +335,7 @@ ·fŽ¡‘ÂifŽ‘´ú«(±gŽ‘çû>‘Ç«1Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘4¨·‘YÿÝ"WARNING!È ÝInÈ ÝColor::Ž‘lYÃset_green_part():\n"Ž’Ù9î·‘YÿÝ"gÈ ÝisÈ ÝgreaterÈ ÝthanÈ Ý1Ž‘lYÃ:È Ý"Ž‘ú!·‘Yÿ±gŽ‘ Ôá·Ž¡‘2Ïend‘‚ØlŽ‘H¸ß·‘ÇÝ"SettingÈ Ýgreen_partÈ Ž‘kÆÜÝtoÈ Ý1.\n\n"Ž’ Í&«;Ž¡‘Ïgr–ÿ}'e“en‘‰ffŽ‘®p“artŽ‘Mȧ«=‘Ç1Ž‘Ç;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(±gŽ‘çû<‘Ç«0Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘3˜Ç·‘ãÝ"WARNING!È ÝInÈ ÝColor::Ž‘kââset_green_part():\n"Ž’ØL,·‘ãÝ"gÈ ÝisÈ ÝlessÈ ÝthanÈ Ý0:È Ý"Ž‘oLh·‘ã±gŽ‘ ç·‘ãÏend‘‚ØlŽ‘·þ·Ž¡‘2Ý"SettingÈ Ýgreen_partÈ Ž’šÿÉÝtoÈ Ý0.\n\n"Ž’Ð«;Ž¡‘Ïgr–ÿ}'e“en‘‰ffŽ‘®p“artŽ‘Mȧ«=‘Ç0Ž‘Ç;Ž¡‘·gŽ¡‘ÂelseŽ‘+ØáÏgr–ÿ}'e“en‘‰ffŽ‘®p“artŽ‘[¡…«=‘DZgŽ‘çû«;Ž¡‘ÂreturnŽ‘4‘g«;Ž¡‘ ·gŽŸÂ90.‘ üSet–ÕTblue“part.ަ·h–ª¨«Declare‘UUÂColorŽ‘"úH«functions‘@­58“·i‘Ç«+·Ž¡‘ -Âv®9oidŽ‘"ýÙÏset‘‰ffŽ–®blue‘‰ffŽ“p‘ÿ}'artŽ‘Z1¼«(ÂconstŽ‘*¢realŽ‘4ÝбbŽ‘9(z«);ŽŽŽŒ‹%' Šn ý‘ì«28›­SET–ÕXBLUE“P–ÿJªAR“T’'Ü3DLDFPRÃŽG˜·x«91Ž €n ý•@PÂ91.Ž©·h–ª¨«De ne‘UUÂColorŽ‘"úH«functions‘@­59“·i‘Ç«+·ޤ ‘ +Âv®9oidŽ‘"ýÙÏset‘‰ffŽ–®blue‘‰ffŽ“p‘ÿ}'artŽ‘Z1¼«(ÂconstŽ‘*¢realŽ‘4ÝбbŽ‘9(z«);ŽŽŽŒ‹0W Šn ý‘ì·x«91›­3DLDFPRÃŽG’'ÜSET–ÕXBLUE“P–ÿJªAR“T˜«29Ž €n ý•@PÂ91.Ž©·h–ª¨«De ne‘UUÂColorŽ‘"úH«functions‘@­59“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙColorŽ‘@M{«::‘Ïset‘‰ffŽ–®blue‘‰ffŽ“p‘ÿ}'artŽ‘83ç«(ÂconstŽ‘*¢realŽ‘4ÝбbŽ‘9(z«)Ž¡‘ ·fŽ¡‘ÂifŽ‘´ú«(±bŽ‘Â>‘Ç«1Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘43å·‘~<Ý"WARNING!È ÝInÈ ÝColor::Ž‘l~set_blue_part():\n"Ž’ÔBk·‘~<Ý"bÈ ÝisÈ ÝgreaterÈ ÝthanÈ Ý1Ž‘l~:È Ý"Ž’€B›·‘~<±bŽ‘ G"·Ž¡‘2Ïend‘‚ØlŽ‘H¸ß·‘ÇÝ"SettingÈ Ýblue_partÈ ÝtŽ‘kÆÜoÈ Ý1.\n\n"Ž’›)«;Ž¡‘Ïblue‘‰ffŽ‘®p‘ÿ}'artŽ‘HJ«=‘Ç1Ž‘Ç;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(±bŽ‘Â<‘Ç«0Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘3»g·‘¾Ý"WARNING!È ÝInÈ ÝColor::Ž‘l‚set_blue_part():\n"Ž’ÓQo·‘¾Ý"bÈ ÝisÈ ÝlessÈ ÝthanÈ Ý0:È Ý"Ž‘o‘¨·‘¾±bŽ‘ V&·‘¾Ïend‘‚ØlŽ‘ý>·Ž¡‘2Ý"SettingÈ Ýblue_partÈ ÝtŽ’šÿÉoÈ Ý0.\n\n"Ž’ÊÆ«;Ž¡‘Ïblue‘‰ffŽ‘®p‘ÿ}'artŽ‘HJ«=‘Ç0Ž‘Ç;Ž¡‘·gŽ¡‘ÂelseŽ‘+ØáÏblue‘‰ffŽ‘®p‘ÿ}'artŽ‘V"÷«=‘DZbŽ‘«;Ž¡‘ÂreturnŽ‘4‘g«;Ž¡‘ @@ -325,7 +346,7 @@ ·gޤÂ94.‘ üReturning–ÕTelemen®9ts“and“information.Ž¡95.‘ üIs–ÕTon“free“store.ަ·h–ª¨«Declare‘UUÂColorŽ‘"úH«functions‘@­58“·i‘Ç«+·ޤ ‘ ÂinlineŽ‘)ŠIb•QÇo“olŽ‘C+¯Ïis‘‰ffŽ–®on‘‰ffŽ“fr–ÿ}'e“e‘‰ffŽ‘®stor“eŽ’…¦„«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïon‘‰ffŽ›®fr–ÿ}'e“e‘‰ffŽ˜stor“eŽ‘o‹®«;Ž¡‘ -·gŽŸÂ96.› üGet–WƒColor“parts.˜«[¬LDF‘T2002.09.24.«]Ž‘ZùjThese–Ɖfunctions“alw•¸ãa“ys–Ɖreturn“a“ÂrealŽ‘$b«;‘ÿ"the“argumen¸ãt“Ïde‘ÿ}'cimalŽŽ¡«can't–UUmak¸ãe“them“return“an“ÂunsignedŽ‘3ŒcshortŽ‘N±«.ŽŽŽŒ‹/, Šn ý‘ì·x«97›­3DLDFPRÃŽG’*Ý(GET–ÕXRED“P–ÿJªAR“T˜«29Ž €n ý•@PÂ97.‘ üGet–ÕTred“part.Ž©·h–ª¨«Declare‘UUÂColorŽ‘"úH«functions‘@­58“·i‘Ç«+·ޤ ‘ +·gŽŸÂ96.› üGet–WƒColor“parts.˜«[¬LDF‘T2002.09.24.«]Ž‘ZùjThese–Ɖfunctions“alw•¸ãa“ys–Ɖreturn“a“ÂrealŽ‘$b«;‘ÿ"the“argumen¸ãt“Ïde‘ÿ}'cimalŽŽ¡«can't–UUmak¸ãe“them“return“an“ÂunsignedŽ‘3ŒcshortŽ‘N±«.ŽŽŽŒ‹:\ Šn ý‘ì«30›­GET–ÕXRED“P–ÿJªAR“T’*Ý(3DLDFPRÃŽG˜·x«97Ž €n ý•@PÂ97.‘ üGet–ÕTred“part.Ž©·h–ª¨«Declare‘UUÂColorŽ‘"úH«functions‘@­58“·i‘Ç«+·ޤ ‘ ÂinlineŽ‘)ŠIrealŽ‘@=wÏget‘‰ffŽ›®r–ÿ}'e“d‘‰ffŽ˜p“artŽ‘s¼¹«(Âb•QÇo“olŽ‘¡fÏde‘ÿ}'cimalŽ‘>©Þ«=‘ÇÏfalseŽ‘v\«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂifŽ‘´ú«(Ïde‘ÿ}'cimalŽ‘"A`«)‘ÂreturnŽ‘(æºÏtruncŽ‘Aõ«((Ïr–ÿ}'e“d‘‰ffŽ‘®p“artŽ‘%„f·‘8à«255ŽŽ‘8ã)–8à+“±:«5ŽŽ‘ ÿþ);Ž¡‘ÂelseŽ‘+ØáreturnŽ‘O¿›Ïr–ÿ}'e“d‘‰ffŽ‘®p“artŽ‘s !«;Ž¡‘ ·gŽŸÂ98.‘ üGet–ÕTgreen“part.ަ·h–ª¨«Declare‘UUÂColorŽ‘"úH«functions‘@­58“·i‘Ç«+·Ž¡‘ @@ -343,7 +364,7 @@ ÂinlineŽ‘)ŠIstringŽ‘J¯–Ïget‘‰ffŽ‘®nameŽ‘s©V«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼ÏnameŽ‘P¬À«;Ž¡‘ ·gŽŸÂ103.‘ üOutput‘ÕTopQÇerator.ަ·h›ª¨«Declare–UUnon-mem¸ãbGer“functions“for“ÂColorŽ‘#ä÷­103˜·i‘ÇŽ¡‘ -Ïostr–ÿ}'e“amŽ‘/«&‘8àÂopQÇeratorŽ‘-Ï•·Ž‘7Ï–«(Ïostr–ÿ}'e“amŽ‘%«&‘8à±oŽ‘Ä;‘ª¨ÂconstŽ‘ÕJColorŽ‘?z=«&Ž‘GA[±cŽ‘K•6«);ŽŸ ­This–ÕXco‘h«;Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(ÏnameŽ‘·‘ÇÝ""Ž‘ Íz«)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘8(¢·‘rùÝ"ERROR!È ÝInÈ ÝColor::deŽ‘pr½fine_colors_mp():\n"Ž’ákâ·Ž¡‘2Ý"nameÈ ÝisÈ Ýempty.È ÝNotŽ’šÿÉÈ ÝdoingÈ ÝanythingÈ ÝandÈ Ž’ÿÝreturning.\n"Ž’KŒæ·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘>‘h«;Ž¡‘·gŽ¡‘Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘FlÀ·‘,"Ý"colorÈ Ý"Ž‘0Þ”·‘,"ÏnameŽ–H·‘,"Ý";"Ž‘ž£·‘,"Ý"È Ý"Ž›Þ ·‘,"ÏnameŽ“·‘,"Ý"È Ý=È Ý("Ž‘&^š·‘,"Ïget‘‰ffŽ›®r–ÿ}'e“d‘‰ffŽ˜p“artŽ‘6«d«(‘ª¨)–,"·“Ý",È Ý"Ž˜·Ž¡‘(Ïget‘‰ffŽ›®gr–ÿ}'e“en‘‰ffŽ˜p“artŽ‘e5L«(›ª¨)–Ç·“Ý",È Ý"Ž‘Œ·“Ïget‘‰ffŽ–®blue‘‰ffŽ“p‘ÿ}'artŽ‘:}Ò«(˜)“·“Ý");\n"Ž‘%”†·“Ï ushŽ‘€«;Ž¡‘ÂreturnŽ‘4‘g«;Ž¡‘ ·gŽŸÂ107.– üInitialize‘ÃColors.“«[¬LDF‘T2002.09.25.«]Ž‘\x=This–E\function“presuppGoses“the“existence“of“ÂnamespaceŽŽ¡ColorsŽ‘ ØÚ«.ަ·h–ª¨«Declare‘UUÂColorŽ‘"úH«functions‘@­58“·i‘Ç«+·Ž¡‘ -ÂstaticŽ‘)HÚv®9oidŽ‘BF²Ïinitialize‘‰ffŽ‘®c‘ÿ}'olorsŽ’†Í«(‘ª®);ŽŽŽŒ‹D¿ Šn ý‘ì·x«108–­3DLDFPRÃŽG’INITIALIZE‘ÕXÂCOLORS“«31Ž €n ý•@PÂ108.Ž©·h–ª¨«De ne‘UUÂColorŽ‘"úH«functions‘@­59“·i‘Ç«+·ޤ ‘ +ÂstaticŽ‘)HÚv®9oidŽ‘BF²Ïinitialize‘‰ffŽ‘®c‘ÿ}'olorsŽ’†Í«(‘ª®);ŽŽŽŒ‹ Oï Šn ý‘ì«32–­INITIALIZE‘ÕXÂCOLORS’­3DLDFPRÃŽG“·x«108Ž €n ý•@PÂ108.Ž©·h–ª¨«De ne‘UUÂColorŽ‘"úH«functions‘@­59“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙColorŽ‘@M{«::‘Ïinitialize‘‰ffŽ‘®c‘ÿ}'olorsŽ‘DÀ«(‘ª®)Ž¡‘ ·fŽ¡‘ÂusingŽ‘2SˆnamespaceŽ‘k÷ColorsŽ’ŒÏÜ«;ަ‘ÂifŽ‘´ú«(·:Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘/@œ±:Ïis‘‰ffŽ‘®op‘ÿ}'enŽ‘ «(‘ª¨))‘·fŽ¡‘Ïc‘ÿ}'errŽ‘8-·‘P„Ý"ERROR!È ÝInÈ ÝColor::inŽ‘pPHitialize_colors():\nŽ’ÙP "Ž’æfõ·Ž¡‘2Ý"out_streamÈ ÝisÈ ÝcloseŽ’šÿÉd!È ÝReturning.\n"Ž’÷·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘>‘h«;Ž¡‘·gŽ¡‘Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘F¶·‘ÇÝ"%%%È ÝColorÈ ÝdefinitioŽ‘kÆÜns.\n\n"Ž’–M,«;Ž¡#ÂifŽ‘ Öo«0Ž‘$Öq±=·‘!t«[¬LDF‘T2002.09.25.«]Ž‘TK%These–vÌcolors“are“already“de ned“in“MET‘ÿ*ªAPOST‘vÄand“their“de 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ne‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“mpŽ‘Dn«(‘ª¨);Ž¡‘Ïblue‘‰ffŽ‘®violetŽ‘A„j±:Ïde ne‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“mpŽ‘Dn«(‘ª¨);Ž¡‘Ïgr‘ÿ}'ayŽ‘'ªÿ±:Ïde ne‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“mpŽ‘Dn«(‘ª¨);Ž¡‘Ïlight‘‰ffŽ‘®gr‘ÿ}'ayŽ‘>ܱ:Ïde ne‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“mpŽ‘Dn«(‘ª¨);Ž¡‘Ïviolet‘‰ffŽ‘®r–ÿ}'e“dŽ‘=b£±:Ïde ne‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“mpŽ‘Dn«(‘ª¨);Ž¡‘Ïdefault‘‰ffŽ‘®b–ÿ}'ackgr“oundŽ‘fF!±:Ïde ne‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“mpŽ‘Dn«(‘ª¨);Ž¡‘±=·‘ÿý«[¬LDF‘T2002.09.25.«]Ž‘T7Curren¸ãtly‘ÿ*ª,–UUthis“function“doGes“nothing“if“I'm“using“all“of“the“colors.‘o·±=Ž¡‘Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘F¶·‘ÇÝ"\n%%%È ÝEndÈ ÝofÈ ÝColorÈ Ž‘kÆÜÝdefinitions.\n\n"Ž’Å«;Ž¡‘ÂreturnŽ‘4‘g«;Ž¡‘ ·gŽŸÂ109.– üNamespace‘ :Colors.“«Here–'(I‘'can“put“either“·h›ª¨«Ma‘Ž8jor“ÂColorsŽ‘(@­112˜·i“«or“·h˜«All“ÂColorsŽ‘(@­0˜·i“«in¸ãto“·h˜«DeclareŽ¡ÂnamespaceŽ‘9‡ÀColorsŽ‘^ ž­109‘ª¨·i«,›?&and–9›commen¸ãt“out“the“other,˜depGending“on“what“I‘9”w•¸ãan“t.‘h‰This›9›prev“en“ts˜toGo˜m“uc“hŽ¡unneeded–cošGde“from“b˜eing“pro˜cessed.‘[V·h›ª¨«All“ÂColorsŽ‘(*Þ­0˜·i“«is“vš¸ãery“long,‘xso“I‘ïneither“w˜an˜t“to“compile“it,‘xwrite“theŽ¡ÂexternŽ‘#ôí«declarations–,lfrom“it“to“Ècolors.h«,›4›nor“prin¸ãt“out“the“coGde“when“I‘,brun“Ècweave«,˜unless“I‘,breally“w•¸ãan“t‘,ltoŽ¡use‘UUit.‘qÇ[¬LDF‘T2002.09.25.«]ŽŽ¦·h–ª¨«Declare‘UUÂnamespaceŽ‘<øÏColorsŽ‘b­­109“·i‘ÇŽ¡‘ -h–ª¨«Ma‘Ž8jor‘UUÂColorsŽ›(n3­112“·i‘±=·“h“«All‘UUÂColorsŽ˜­0“·i‘ÿý±=ޤ ­This–ÕXco‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.10.26.«]Ž‘Y;Added‘UUÏhelp‘‰ffŽ‘®c‘ÿ}'olorŽ‘/É«.ŽŸŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽŸº·h–ª¨«Ma‘Ž8jor‘UUÂColorsŽ‘(n3­112“·i‘ÇŽ¡‘ +h–ª¨«Ma‘Ž8jor‘UUÂColorsŽ›(n3­112“·i‘±=·“h“«All‘UUÂColorsŽ˜­0“·i‘ÿý±=ޤ ­This–ÕXco±;‘ª¨«173ŽŽ–ª«±;‘ª¨«255ŽŽ“±;‘ª¨«47ŽŽ‘ 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V±;‘ª¨«192ŽŽ–ª«±;‘ª¨«192ŽŽ“±;‘ª¨«192ŽŽ“);Ž¡‘ÂexternŽ‘8ØconstŽ‘VHzColorŽ‘uímÏlight‘‰ffŽ‘®gr‘ÿ}'ayŽ’ŸîG«(Ý"light_gray"Ž‘?†D±;‘ª¨«211ŽŽ–ª«±;‘ª¨«211ŽŽ“±;‘ª¨«211ŽŽ“);Ž¡‘±=·‘ð6«Defaults.‘l…[¬LDF‘T2002.09.27.«]Ž‘SdøNote–EŽthat“Ïdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘:Ái«,‘HµÏhelp‘‰ffŽ‘®c‘ÿ}'olorŽ‘2H·«and“Ïb–ÿ}'ackgr“ound‘‰ffŽ‘®c“olorŽ‘PÏt«are“pGoin¸ãtersŽ¡‘(and–Óthat“Ïdefault‘‰ffŽ‘®b–ÿ}'ackgr“oundŽ‘YEÅ«is“a“plain“ÂColorŽ‘Ïq«.‘ñ@It“can“bGe“used“to“access“the“original“bac¸ãkgroundŽ¡‘(color–UU(currenš¸ãtly“white),“if“the“user“pGoin˜ts“the“Ïb–ÿ}'ackgr“ound‘‰ffŽ‘®c“olorŽ‘Pï«at“some“other“ÂColorŽ‘¤ó«.‘o·±=Ž¡‘ÂexternŽ‘8ØconstŽ‘VHzColorŽ‘uímÏdefault‘‰ffŽ‘®b–ÿ}'ackgr“oundŽ’È3Œ«(Ý"default_background"Ž‘i†,±;‘ª¨«255ŽŽ–ª«±;‘ª¨«255ŽŽ“±;‘ª¨«255ŽŽ“±;‘ª¨ÏtrueŽ‘o@«);Ž¡‘ÂexternŽ‘8ØconstŽ‘VHzColorŽ‘uím·Ž‘zínÏdefault‘‰ffŽ‘®c‘ÿ}'olorŽ’µ0a«=‘Ç&Ž‘ Ž6ÏblackŽ‘!œ «;Ž¡‘ÂexternŽ‘8ØconstŽ‘VHzColorŽ‘uím·Ž‘zínÏb–ÿ}'ackgr“ound‘‰ffŽ‘®c“olorŽ’ÇøÞ«=‘Ç&Ž‘ Ž6Ïdefault‘‰ffŽ‘®b–ÿ}'ackgr“oundŽ‘\ÔU«;Ž¡‘ÂexternŽ‘8ØconstŽ‘VHzColorŽ‘uím·Ž‘zínÏhelp‘‰ffŽ‘®c‘ÿ}'olorŽ’©nú«=‘Ç&Ž‘ -Ž6Ïgr–ÿ}'e“enŽ‘"sC«;‘±=·‘ÿý«LDF‘UU2002.10.26.‘qÇAdded.‘o·±=Ž¡‘=·‘7«[¬LDF‘T2002.09.25.«]Ž‘T«!!‘{uTO›XŽDO:‘XÏdefault‘‰ffŽ‘®b–ÿ}'ackgr“oundŽ‘X÷=«is–Xa“con•¸ãv“enience,‘Y^in–Xcase“I˜cš¸ãhange“\bac˜kground"Ž¡‘(in–S8the“MET›ÿ*ªAPOST‘S7coGde.‘qChec¸ãk“MET˜APOST–S7došGcumen¸ãtation!!‘qI“b˜eliev¸ãe–S8it“has“something“similar.Ž¡‘(·±=ŽŽŽŒ‹!_Z Šn ý‘ì·x«112›­3DLDFPRÃŽG’ÐINTERNAL–ÕX(WITH“INITIALIZA‘ÿJªTION)˜«33Ž €n ý•@P‘ +Ž6Ïgr–ÿ}'e“enŽ‘"sC«;‘±=·‘ÿý«LDF‘UU2002.10.26.‘qÇAdded.‘o·±=Ž¡‘=·‘7«[¬LDF‘T2002.09.25.«]Ž‘T«!!‘{uTO›XŽDO:‘XÏdefault‘‰ffŽ‘®b–ÿ}'ackgr“oundŽ‘X÷=«is–Xa“con•¸ãv“enience,‘Y^in–Xcase“I˜cš¸ãhange“\bac˜kground"Ž¡‘(in–S8the“MET›ÿ*ªAPOST‘S7coGde.‘qChec¸ãk“MET˜APOST–S7došGcumen¸ãtation!!‘qI“b˜eliev¸ãe–S8it“has“something“similar.Ž¡‘(·±=ŽŽŽŒ‹"j‹ Šn ý‘ì«34›­INTERNAL–ÕX(WITH“INITIALIZA‘ÿJªTION)’Ð3DLDFPRÃŽG˜·x«112Ž €n ý•@P‘ ·gޤ ­This–ÕXco§«;Ž¡‘ÂexternŽ‘8ØColorŽ‘WÂË·Ž‘\ÂÌÏhelp‘‰ffŽ‘®c‘ÿ}'olorŽ’ˆ}@«;‘±=·‘ÿý«LDF‘UU2002.10.26.‘qÇAdded.‘o·±=Ž¡‘ÂexternŽ‘8ØColorŽ‘WÂË·Ž‘\ÂÌÏb–ÿ}'ackgr“ound‘‰ffŽ‘®c“olorŽ’§$«;Ž¡‘ ·gޤ ­This–ÕXco‘«declaration‘@­110˜·iŽ¡«abGo•¸ãv“e.Ž¡‘ -Ý@Ž‘Æf«i–UUÈcolall.web“«(Commen¸ãted“out).ަÂ115.‘ üGlobal‘ÕTconstan®9ts.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.10.26.«]Ž‘Y;Added‘UUÏhelp‘‰ffŽ–®c›ÿ}'olor‘‰ffŽ“ve˜ctorŽ‘L®(«.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Global‘UUconstan¸ãts‘@­19“·i‘Ç«+·ޤ ‘ -ÂnamespaceŽ‘C£{ColorsŽ‘gѪ·fŽ¡‘ÂexternŽ‘8ØconstŽ‘VHzv®9ectorŽ‘uò·hÂconstŽ‘*¢ColorŽ‘=Ï•·Ž‘BÏ–i‘UUÏdefault‘‰ffŽ–®c›ÿ}'olor‘‰ffŽ“ve˜ctorŽ‘Xo«(1Ž‘±;‘ª¨Ïdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘9&ƒ«);ŽŽŽŒ‹"x³ Šn ý‘ì«34–­GLOBAL‘ÕXCONST‘ÿJªANTS’ É%3DLDFPRÃŽG“·x«115Ž €n ý•@P‘ÂexternŽ‘8ØconstŽ‘VHzv®9ectorŽ‘uò·hÂconstŽ‘*¢ColorŽ‘=Ï•·Ž‘BÏ–i‘UUÏhelp‘‰ffŽ–®c›ÿ}'olor‘‰ffŽ“ve˜ctorŽ‘L®(«(1Ž‘±;‘ª¨Ïhelp‘‰ffŽ‘®c‘ÿ}'olorŽ‘-e«);ޤ ‘±=·‘ÿý«LDF‘UU2002.10.26.‘qÇAdded.‘o·±=Ž¡‘ÂexternŽ‘8ØconstŽ‘VHzv®9ectorŽ‘uò·hÂconstŽ‘*¢ColorŽ‘=Ï•·Ž‘BÏ–i‘UUÏb–ÿ}'ackgr“ound‘‰ffŽ›®c“olor‘‰ffŽ˜ve“ctorŽ‘k8 «(1Ž‘±;‘ª¨Ïb–ÿ}'ackgr“ound‘‰ffŽ‘®c“olorŽ‘Kï«);Ž¡‘ +Ý@Ž‘Æf«i–UUÈcolall.web“«(Commen¸ãted“out).ަÂ115.‘ üGlobal‘ÕTconstan®9ts.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.10.26.«]Ž‘Y;Added‘UUÏhelp‘‰ffŽ–®c›ÿ}'olor‘‰ffŽ“ve˜ctorŽ‘L®(«.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Global‘UUconstan¸ãts‘@­19“·i‘Ç«+·ޤ ‘ +ÂnamespaceŽ‘C£{ColorsŽ‘gѪ·fŽ¡‘ÂexternŽ‘8ØconstŽ‘VHzv®9ectorŽ‘uò·hÂconstŽ‘*¢ColorŽ‘=Ï•·Ž‘BÏ–i‘UUÏdefault‘‰ffŽ–®c›ÿ}'olor‘‰ffŽ“ve˜ctorŽ‘Xo«(1Ž‘±;‘ª¨Ïdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘9&ƒ«);ŽŽŽŒ‹#ƒ¸ Šn ý‘ì·x«115–­3DLDFPRÃŽG’ É%GLOBAL‘ÕXCONST‘ÿJªANTS“«35Ž €n ý•@P‘ÂexternŽ‘8ØconstŽ‘VHzv®9ectorŽ‘uò·hÂconstŽ‘*¢ColorŽ‘=Ï•·Ž‘BÏ–i‘UUÏhelp‘‰ffŽ–®c›ÿ}'olor‘‰ffŽ“ve˜ctorŽ‘L®(«(1Ž‘±;‘ª¨Ïhelp‘‰ffŽ‘®c‘ÿ}'olorŽ‘-e«);ޤ ‘±=·‘ÿý«LDF‘UU2002.10.26.‘qÇAdded.‘o·±=Ž¡‘ÂexternŽ‘8ØconstŽ‘VHzv®9ectorŽ‘uò·hÂconstŽ‘*¢ColorŽ‘=Ï•·Ž‘BÏ–i‘UUÏb–ÿ}'ackgr“ound‘‰ffŽ›®c“olor‘‰ffŽ˜ve“ctorŽ‘k8 «(1Ž‘±;‘ª¨Ïb–ÿ}'ackgr“ound‘‰ffŽ‘®c“olorŽ‘Kï«);Ž¡‘ ·gŽ©Â116.ŽŸ·h‘ª¨ÂexternŽ‘%È~«global–UUconstan¸ãt“declarations‘@­116‘ª¨·i‘ÇŽ¡‘ ÂnamespaceŽ‘C£{ColorsŽ‘gѪ·fŽ¡‘ÂexternŽ‘8ØconstŽ‘VHzv®9ectorŽ‘uò·hÂconstŽ‘*¢ColorŽ‘=Ï•·Ž‘BÏ–i‘UUÏdefault‘‰ffŽ–®c›ÿ}'olor‘‰ffŽ“ve˜ctorŽ‘Xo«;Ž¡‘ÂexternŽ‘8ØconstŽ‘VHzv®9ectorŽ‘uò·hÂconstŽ‘*¢ColorŽ‘=Ï•·Ž‘BÏ–i‘UUÏhelp‘‰ffŽ–®c›ÿ}'olor‘‰ffŽ“ve˜ctorŽ‘L®(«;‘±=·‘ÿý«LDF‘UU2002.10.26.‘qÇAdded.‘o·±=Ž¡‘ÂexternŽ‘8ØconstŽ‘VHzv®9ectorŽ‘uò·hÂconstŽ‘*¢ColorŽ‘=Ï•·Ž‘BÏ–i‘UUÏb–ÿ}'ackgr“ound‘‰ffŽ›®c“olor‘‰ffŽ˜ve“ctorŽ‘k8 «;Ž¡‘ ·gŽŸ ­This–ÕXcoÅH­56“·iŽ¡‘ h‘ª¨ÂexternŽ‘%È~namespaceŽ‘_køColorsŽ’ƒš'«declaration‘@­110‘ª¨·iŽ¡‘ h›ª¨«Declare–UUnon-mem¸ãbGer“functions“for“ÂColorŽ‘#ä÷­103˜·iŽ¡‘ h‘ª¨ÂexternŽ‘%È~«global–UUconstan¸ãt“declarations‘@­116‘ª¨·iŽŸÂ120.– üT‘ÿ -«ransformations“(Ètransform.webÂ).ŽŸìBŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.11.12.«]Ž‘ZCáRemo•¸ãv“ed–ûthe“vš¸ãersion“con˜trol“iden˜ti ers“from“the“CWEB‘© les“for“the“distribution“ofŽ¡3DLDF–UU1.1.‘qÇThey're“still“used“in“mš¸ãy“dev˜elopmen˜t“v˜ersions.ŽŸŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h‘ª¨«V‘ÿ*ªersion–UUconš¸ãtrol“iden˜ti er‘@­10‘ª¨·i‘Ç«+·ŽŸÂ121.‘ üInclude‘ÕT les.ަ·h–ª¨«Include‘UU les‘@­11“·i‘Ç«+·Ž¡«#ÂincludeŽ‘'Ø~Ý"loader.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"pspglb.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"io.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"colors.h"ŽŽŸÂ122.› üT‘ÿ +«ransformations“(Ètransform.webÂ).ŽŸ&Ÿû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.11.12.«]Ž‘ZCáRemo•¸ãv“ed–ûthe“vš¸ãersion“con˜trol“iden˜ti ers“from“the“CWEB‘© les“for“the“distribution“ofŽ¡3DLDF–UU1.1.‘qÇThey're“still“used“in“mš¸ãy“dev˜elopmen˜t“v˜ersions.Ž¡‘ +[¬LDF‘T2003.12.10.«]Ž‘YQ‘Put–ž«the“vš¸ãersion“con˜trol“iden˜ti ers“bac˜k“in˜to“m˜y“release“v˜ersions“for“3DLDF‘ž™1.1.4.‘MÊI'v˜eŽ¡already–"¯put“some“of“them“bacš¸ãk“in,‘,Ñno˜w“I'm“doing“the“rest“of“them.‘`åHo˜w˜ev˜er,‘,Ñthe“release“v˜ersions“are“no˜w“inŽ¡their–UUoš¸ãwn“R˜CS“repGository‘ÿ*ª.ŽŸŸüÈ„`ÕÁGŽŽ¦·h‘ª¨«V‘ÿ*ªersion–UUconš¸ãtrol“iden˜ti er‘@­10‘ª¨·i‘Ç«+·Ž¡‘ +ÂstaticŽ‘)HÚstringŽ‘Jn'Ïr‘ÿ}'cs‘‰ffŽ‘®idŽ‘g(«=‘ÇÝ"$Id:È Ýtransfor.web,vŽ‘kÆÜÈ Ý1.3È Ý2003/12/10È Ý16:5Ž’ÔÆ 2:21È Ýlfinsto1È ÝExpÈ Ý$"Ž’>LÌ«;ŽŸÂ121.‘ üInclude‘ÕT les.ަ·h–ª¨«Include‘UU les‘@­11“·i‘Ç«+·Ž¡«#ÂincludeŽ‘'Ø~Ý"loader.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"pspglb.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"io.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"colors.h"ŽŽŸÂ122.› üT‘ÿ «ransform–class“de nition.˜«The‘œÂT‘ÿ «ransformŽ‘:¤µ«class–œhas“a“4–¿o·“«4–œtransformation“matrix“as“its“onlyŽ¡data–I—memš¸ãbGer“and“a“n˜um˜bGer“of“mem˜bGer“functions.‘mÝÂP•®9oin“tsŽ‘$‘a«,‘KðÂPicturesŽ‘-q9«,‘Kðand“ÏF‘ÿ;¼o‘ÿ}'cusesŽ‘)«con˜tain“ÂT‘ÿ «ransformsŽ‘?ç«asŽ¡data‘UUmem¸ãbGers.Ž¡‘ !!‘qÇRemem¸ãbGer–UUto“add“items“to“ÂopQÇeratorŽ‘.ì -«=Ž‘6³((‘ª¨)“if“if“I“add“them“to“the“class“de nition“here.ŽŸìBŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +«=Ž‘6³((‘ª¨)“if“if“I“add“them“to“the“class“de nition“here.ŽŸ&Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.07.04.«]Ž‘YŠÛRemo•¸ãv“ed‘×õÂfriendŽ‘%ÁO«declaration–×õfor“ÂF‘ÿ «oQÇcusŽ‘ ÍA«.‘ù¦I'v¸ãe“added“Ïset‘‰ffŽ‘®elementŽ‘6xÌ«(›ª®)“and“Ïget‘‰ffŽ‘®elementŽ‘6û£«(˜),Ž¡whic¸ãh–UUare“used“in“the“ÂF‘ÿ «oQÇcusŽ‘#Ÿö«functions,“so“the“latter“need“no“longer“bGe“a“ÂfriendŽ‘$¼«of“ÂT‘ÿ -«ransformŽ‘7ÈÒ«.ŽŸŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦‘ -formatŽ‘3c(ÏT‘ÿ;¼r‘ÿ}'ansformŽ‘j|ÎintŽŽ¦·h–ª¨«De ne‘UUÂclassŽ‘5¦T‘ÿ +«ransformŽ‘7ÈÒ«.ŽŸŸüÈ„`ÕÁGŽŽ¦‘ +ÂformatŽ‘3c(ÏT‘ÿ;¼r‘ÿ}'ansformŽ‘j|ÎintŽŽ¦·h–ª¨«De ne‘UUÂclassŽ‘5¦T‘ÿ «ransformŽ‘Vé'­122“·i‘ÇŽ¡‘ ÂclassŽ‘$àRT‘ÿ «ransformŽ‘\©$·fŽ¡‘ÂfriendŽ‘5f¼classŽ‘PG P•®9oin“tŽ‘káU«;Ž¡‘ÂMatrixŽ‘;({ÏmatrixŽ‘Yh«;‘±=·‘EN«When–š¦I'vš¸ãe“got“things“w˜orking,‘«ûI‘š•can“try“to“optimize“use“of“storage“b˜y“notŽ¡‘(storing–dthe“parts“of“the“matrix“that“I‘d don't“need.‘òThis“is“a“little“complicated,‘g¼bGecause“the“ro¸ãw“orŽ¡‘(column–UUwhicš¸ãh“isn't“needed“di ers“bGet˜w˜een“the“ane“and“p•Gersp“ectiv˜e‘UUtransformations.‘o·±=ަ‘ ÂpublicŽ‘)=Ö«:‘·h–ª¨«Declare‘UUÂT‘ÿ «ransformŽ‘;'«functions‘@­124“·iŽ¡‘ -g«;ŽŸ ÄZ­This–ÕXcos~«(‘ª®);ŽŸ ÄZ­See–´?also“sections“126,–ºÝ128,“130,“132,“134,“136,“138,“140,“142,“145,“147,“150,“152,“155,“157,“158,“160,“166,“167,“168,“171,“173,“176,ŽŸ -‘178,–ÕX181,“and“187.ŽŽŽŒ‹$  Šn ý‘ì«36›­DEF‘ÿ8A•ÃŽUL‘ÿJªT‘ÕXCONSTR“UCTOR’ùQ÷3DLDFPR“G˜·x«124Ž €n ý•@P­This–ÕXcos~«(‘ª®);ޤ ­See–´?also“sections“126,–ºÝ128,“130,“132,“134,“136,“138,“140,“142,“145,“147,“150,“152,“155,“157,“158,“160,“166,“167,“168,“171,“173,“176,ŽŸ +‘178,–ÕX181,“and“187.Ž¡This–ÕXcos~«(ÂrealŽ‘³.±rŽ‘}B«);ަÂ127.Ž¡·h–ª¨«De ne‘UUÂT‘ÿ -«ransformŽ‘;'«functions‘@­125“·i‘Ç«+·ޤ ‘ +«ransformŽ‘>s~«(ÂrealŽ‘³.±rŽ‘}B«);Ž¡Â127.ŽŸ·h–ª¨«De ne‘UUÂT‘ÿ +«ransformŽ‘;'«functions‘@­125“·i‘Ç«+·ަ‘ ÂT‘ÿ «ransformŽ‘?s‚«::‘ÂT‘ÿ -«ransformŽ‘5s«(ÂrealŽ‘³.±rŽ‘}B«)Ž¡‘ -·fŽ¡‘ÂforŽ‘%舫(Âin®9tŽ‘¤÷±iŽ‘Þ«=‘Ç0Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«4Ž“;‘ÿý±iŽ‘ññŸÿ®+‘ÿ+ŽŽ‘¹«)Ž¡‘ÂforŽ‘/艫(Âin®9tŽ‘¤÷±jޑӫ=‘Ç0Ž–Ç;‘ÿý±jŽ‘ wÙ<‘Ç«4Ž“;‘ÿý±jŽ‘ -0ÁŸÿ®+‘ÿ+ŽŽ‘÷á«)‘ÏmatrixŽ‘#?›«[±iŽ‘qô«][±jŽ‘°Ä«]–Ç=“±rŽ‘‘,«;Ž¡‘ -·gަÂ128.› üConstructor–0&with“16“real“argumen®9ts.˜«[¬LDF‘T2002.09.06.«]Ž‘[µËAdded–‚êthis“constructor.‘ú‡This“con-Ž¡structor–UUmak¸ães“it“pšGossible“to“sp˜ecify“all“of“the“elemen¸ãts“of“ÏmatrixŽ‘!”ð«.ŽŸ·h–ª¨«Declare‘UUÂT‘ÿ -«ransformŽ‘;'«functions‘@­124“·i‘Ç«+·Ž¡‘ +«ransformŽ‘5s«(ÂrealŽ‘³.±rŽ‘}B«)ަ‘ +·fަ‘ÂforŽ‘%舫(Âin®9tŽ‘¤÷±iŽ‘Þ«=‘Ç0Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«4Ž“;‘ÿý±iŽ‘ññŸÿ®+‘ÿ+ŽŽ‘¹«)ަ‘ÂforŽ‘/艫(Âin®9tŽ‘¤÷±jޑӫ=‘Ç0Ž–Ç;‘ÿý±jŽ‘ wÙ<‘Ç«4Ž“;‘ÿý±jŽ‘ +0ÁŸÿ®+‘ÿ+ŽŽ‘÷á«)‘ÏmatrixŽ‘#?›«[±iŽ‘qô«][±jŽ‘°Ä«]–Ç=“±rŽ‘‘,«;ަ‘ +·gŽ¡Â128.› üConstructor–0&with“16“real“argumen®9ts.˜«[¬LDF‘T2002.09.06.«]Ž‘[µËAdded–‚êthis“constructor.‘ú‡This“con-ަstructor–UUmak¸ães“it“pšGossible“to“sp˜ecify“all“of“the“elemen¸ãts“of“ÏmatrixŽ‘!”ð«.ŽŸ·h–ª¨«Declare‘UUÂT‘ÿ +«ransformŽ‘;'«functions‘@­124“·i‘Ç«+·ަ‘ ÂT‘ÿ -«ransformŽ‘>s~«(ÂrealŽ‘Í’Ïr0‘‰ffŽ‘®0Ž‘*ÉÚ±;‘ª¨ÂrealŽ‘x:Ïr0‘‰ffŽ‘®1Ž–,t‚±;‘ª¨ÂrealŽ‘x:Ïr0‘‰ffŽ‘®2Ž“±;‘ª¨ÂrealŽ‘x:Ïr0‘‰ffŽ‘®3Ž“±;‘ª¨ÂrealŽ‘x:Ïr1‘‰ffŽ‘®0Ž“±;‘ª¨ÂrealŽ‘x:Ïr1‘‰ffŽ‘®1Ž“±;‘ª¨ÂrealŽ‘x:Ïr1‘‰ffŽ‘®2Ž“±;‘ª¨ÂrealŽ‘x:Ïr1‘‰ffŽ‘®3Ž“±;‘ª¨ÂrealŽŽ¡‘Ïr2‘‰ffŽ‘®0Ž‘1üK±;‘ª¨ÂrealŽ‘]ÖÏr2‘‰ffŽ‘®1Ž–,Z±;‘ª¨ÂrealŽ‘]ÖÏr2‘‰ffŽ‘®2Ž“±;‘ª¨ÂrealŽ‘]ÖÏr2‘‰ffŽ‘®3Ž“±;‘ª¨ÂrealŽ‘]ÖÏr3‘‰ffŽ‘®0Ž“±;‘ª¨ÂrealŽ‘]ÖÏr3‘‰ffŽ‘®1Ž“±;‘ª¨ÂrealŽ‘]ÖÏr3‘‰ffŽ‘®2Ž“±;‘ª¨ÂrealŽ‘]ÖÏr3‘‰ffŽ‘®3Ž“«);ŽŽŽŒ‹%œ` Šn ý‘ì·x«129›­3DLDFPR•ÃŽG’ !CONSTR“UCTOR–ÕXWITH“16“ÂREAL“­ARÃŽGUMENTS˜«37Ž €n ý•@PÂ129.Ž©·h–ª¨«De ne‘UUÂT‘ÿ +«ransformŽ‘>s~«(ÂrealŽ‘Í’Ïr0‘‰ffŽ‘®0Ž‘*ÉÚ±;‘ª¨ÂrealŽ‘x:Ïr0‘‰ffŽ‘®1Ž–,t‚±;‘ª¨ÂrealŽ‘x:Ïr0‘‰ffŽ‘®2Ž“±;‘ª¨ÂrealŽ‘x:Ïr0‘‰ffŽ‘®3Ž“±;‘ª¨ÂrealŽ‘x:Ïr1‘‰ffŽ‘®0Ž“±;‘ª¨ÂrealŽ‘x:Ïr1‘‰ffŽ‘®1Ž“±;‘ª¨ÂrealŽ‘x:Ïr1‘‰ffŽ‘®2Ž“±;‘ª¨ÂrealŽ‘x:Ïr1‘‰ffŽ‘®3Ž“±;‘ª¨ÂrealŽŽ¦‘Ïr2‘‰ffŽ‘®0Ž‘1üK±;‘ª¨ÂrealŽ‘]ÖÏr2‘‰ffŽ‘®1Ž–,Z±;‘ª¨ÂrealŽ‘]ÖÏr2‘‰ffŽ‘®2Ž“±;‘ª¨ÂrealŽ‘]ÖÏr2‘‰ffŽ‘®3Ž“±;‘ª¨ÂrealŽ‘]ÖÏr3‘‰ffŽ‘®0Ž“±;‘ª¨ÂrealŽ‘]ÖÏr3‘‰ffŽ‘®1Ž“±;‘ª¨ÂrealŽ‘]ÖÏr3‘‰ffŽ‘®2Ž“±;‘ª¨ÂrealŽ‘]ÖÏr3‘‰ffŽ‘®3Ž“«);ŽŽŽŒ‹&§± Šn ý‘ì«38‘­CONSTRšÃŽUCTOR–ÕXWITH“16“ÂREAL“­AR˜GUMENTS’ !3DLDFPR˜G‘·x«129Ž €n ý•@PÂ129.Ž©·h–ª¨«De ne‘UUÂT‘ÿ «ransformŽ‘;'«functions‘@­125“·i‘Ç«+·ޤ ‘ ÂT‘ÿ «ransformŽ‘?s‚«::‘ÂT‘ÿ @@ -449,15 +473,15 @@ 0ÁŸÿ®+‘ÿ+ŽŽ‘÷á«)‘ÏmatrixŽ‘#?›«[±iŽ›qô«][±jŽ‘°Ä«]–Ç=“±tŽ‘cŠ:ÏmatrixŽ‘?›«[±iŽ˜«][±jŽ‘°Ä«];Ž¡‘ÂreturnŽ‘7æ¼±tŽ‘;ƒ.«;Ž¡‘ ·gŽŸÂ132.‘ üReset–ÕTto“iden•®9tit“y‘ÕTmatrix.ަ·h–ª¨«Declare‘UUÂT‘ÿ «ransformŽ‘;'«functions‘@­124“·i‘Ç«+·Ž¡‘ 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-Âv®9oidŽ‘"ýÙÏshowŽ‘9ˆØ«(ÂstringŽ‘!%MÏtextŽ‘5D1«=‘ÇÝ""Ž‘ Íz«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹)Ç6 Šn ý‘ì·x«148›­3DLDFPR•ÃŽG’M’GSHO“W˜«41Ž €n ý•@PÂ148.ŽŸ·h–ª¨«De ne‘UUÂT‘ÿ +Âv®9oidŽ‘"ýÙÏshowŽ‘9ˆØ«(ÂstringŽ‘!%MÏtextŽ‘5D1«=‘ÇÝ""Ž‘ Íz«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹*Óo Šn ý‘ì«42›­SHO•ÃŽW’M’G3DLDFPR“G˜·x«148Ž €n ý•@PÂ148.ŽŸ·h–ª¨«De ne‘UUÂT‘ÿ «ransformŽ‘;'«functions‘@­125“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙT‘ÿ «ransformŽ‘XqZ«::‘ÏshowŽ‘‹«(ÂstringŽ‘!%MÏtextŽ‘2}«)‘UUÂconstŽŽ¡‘ @@ -517,12 +541,12 @@ ·gŽ©Â149.– üAne‘2ctransformations.“«[¬LDF‘T2002.10.16.«]Ž‘Yú†The–Ç¥functions“for“the“ane“transformations“all“returnŽ¡a‘TªÂT‘ÿ «ransformŽ‘;Ñ«represenš¸ãting–Tªthe“transformation,‘TÌnot“·Ž‘T«ÏthisŽ‘@a«.‘qŽThis“mak˜es“it“pGossible“to“c˜hain“expressions“usingŽ¡ÂopQÇeratorŽ‘+–µ·«=ŽŽŽ‘8]Ô(‘ª¨),‘UUe.g.,ަ‘(ÂP•®9oin“tŽ‘Fï¡Ïpt0Ž‘VXÜ«;Ž¡‘(ÂP•®9oin“tŽ‘Fï¡Ïpt1Ž‘VXÜ«(1Ž‘±;‘ª¨«2Ž–ª©±;‘ª¨«3Ž“);Ž¡‘(ÂP•®9oin“tŽ‘Fï¡Ïpt2Ž‘VXÜ«(3Ž‘±;‘ª¨«4Ž–ª©±;‘ª¨«5Ž“);Ž¡‘(ÂT‘ÿ «ransformŽ‘_ÈÖ±tŽ‘ceH«;Ž¡‘(±tŽ‘+œv:Ïr‘ÿ}'otateŽ‘o>«(90ŽŽ‘ -±;‘ª¨«90ŽŽ– 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Éœ«and–Äreturns“±rŽ‘IØ«.‘ñThis“mak˜es“it“pGossible“to“c˜hain“in˜v˜oGcations“of“this“function.‘ñNot“curren˜tly“usedŽ¡anš¸ãywhere,–UUbut“it“ma˜y“turn“out“to“bGe“useful“for“something.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +«ransformŽ‘AÈÓÏalign‘‰ffŽ–®with‘‰ffŽ“axisŽ’‚{K«(ÂP•®9oin“tŽ‘ïÏp0Ž‘+]±;‘ª¨ÂP•®9oin“tŽ‘ šEÏp1Ž‘,±±;‘ª¨Âc®9harŽ‘ñÏaxisŽ‘0Ñ«=‘ÇÝ'z'Ž‘ w«);‘±=·‘ÿý«Default–UUis“the“z-axis.‘o·±=ަÂ169.‘ üMatrix‘ÕTm®9ultiplication.ަ170.‘ üWith‘ÕTassignmen®9t.ަ171.– üreal‘fÖargumen®9t.“«[¬LDF‘T2002.11.19.«]Ž‘[½This–ÓÜfunction“mš¸ãultiplies“eac˜h“elemen˜t“of“ÂMatrixŽ‘+5‹«b˜y“the“ÂrealŽŽ¡«argumenš¸ãt‘ırŽ‘ Éœ«and–Äreturns“±rŽ‘IØ«.‘ñThis“mak˜es“it“pGossible“to“c˜hain“in˜v˜oGcations“of“this“function.‘ñNot“curren˜tly“usedŽ¡anš¸ãywhere,–UUbut“it“ma˜y“turn“out“to“bGe“useful“for“something.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.08.22.«]Ž‘Y;Added–UUthis“function.Ž¡‘ -[¬LDF‘T2002.11.19.«]Ž‘Y;Changed–UUreturn“v‘ÿqÇalue“from“·Ž‘UVÏthisŽ‘–a«to“±rŽ‘i«.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂT‘ÿ +[¬LDF‘T2002.11.19.«]Ž‘Y;Changed–UUreturn“v‘ÿqÇalue“from“·Ž‘UVÏthisŽ‘–a«to“±rŽ‘i«.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂT‘ÿ «ransformŽ‘;'«functions‘@­124“·i‘Ç«+·ŽŸ ‘ ÂrealŽ‘ ³/opQÇeratorŽ‘LIä·«=ŽŽŽ‘Y(ÂrealŽ‘³.±rŽ‘}B«);ަÂ172.Ž¡·h–ª¨«De ne‘UUÂT‘ÿ «ransformŽ‘;'«functions‘@­125“·i‘Ç«+·ޤ ‘ @@ -633,15 +657,15 @@ ·fŽ¡‘ÂforŽ‘%舫(Âin®9tŽ‘¤÷±iŽ‘Þ«=‘Ç0Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«4Ž“;‘ÿý±iŽ‘ññŸÿ®+‘ÿ+ŽŽ‘¹«)Ž¡‘ÂforŽ‘/艫(Âin®9tŽ‘¤÷±jޑӫ=‘Ç0Ž–Ç;‘ÿý±jŽ‘ wÙ<‘Ç«4Ž“;‘ÿý±jŽ‘ 0ÁŸÿ®+‘ÿ+ŽŽ‘÷á«)‘ÏmatrixŽ‘#?›«[±iŽ‘qô«][±jŽ‘°Ä«]‘Ç·«=ŽŽ‘UO±rŽ‘c«;Ž¡‘Ïcle‘ÿ}'anŽ‘+A„«(‘ª®);Ž¡‘ÂreturnŽ‘7æ¼±rŽ‘<°Ð«;Ž¡‘ ·gަÂ173.‘ üT‘ÿ -«ransform‘ÕTargumen®9t.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +«ransform‘ÕTargumen®9t.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.11.06.«]Ž‘Y"©If‘oñtŽ‘ {ø«is–oÃthe“iden•¸ãtit“y‘oÃÂT‘ÿ «ransformŽ‘7ã@«,‘v^it–oÃis“returned“righš¸ãt“a˜w˜a˜y‘ÿ*ª.‘ÁIf“·Ž‘oÄÏthisŽ‘Ë=«is,‘v^it“is“set“to“±tŽ‘ -{ø«usingŽ¡ÂopQÇeratorŽ‘+–µ«=Ž‘3]Ó(‘ª¨).‘TªBUG‘ ¡FIX:– öNoš¸ãw“±tŽ‘ Þ^«is“alw˜a˜ys“returned,‘óÞinstead“of“·Ž‘  ÷ÏthisŽ‘Œ­«.‘TªThis“mak˜es“it“pGossible“to“c˜hainŽ¡expressions–UUusing“this“function.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂT‘ÿ +{ø«usingŽ¡ÂopQÇeratorŽ‘+–µ«=Ž‘3]Ó(‘ª¨).‘TªBUG‘ ¡FIX:– öNoš¸ãw“±tŽ‘ Þ^«is“alw˜a˜ys“returned,‘óÞinstead“of“·Ž‘  ÷ÏthisŽ‘Œ­«.‘TªThis“mak˜es“it“pGossible“to“c˜hainŽ¡expressions–UUusing“this“function.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂT‘ÿ «ransformŽ‘;'«functions‘@­124“·i‘Ç«+·ŽŸ ‘ ÂT‘ÿ «ransformŽ‘AÈÓopQÇeratorŽ‘m_ˆ·«=ŽŽŽ‘z&§(ÂconstŽ‘*¢T‘ÿ -«ransformŽ‘Uót«&Ž‘]º’±tŽ‘aW«);ŽŽŽŒ‹0% Šn ý‘ì«48›ÂTRANSF®9ORM‘ÕX­AR•ÃŽGUMENT’å¢ý3DLDFPR“G˜·x«174Ž €n ý•@PÂ174.Ž©·h–ª¨«De ne‘UUÂT‘ÿ +«ransformŽ‘Uót«&Ž‘]º’±tŽ‘aW«);ŽŽŽŒ‹1ß Šn ý‘ì·x«174›­3DLDFPR•ÃŽG’å¢ýÂTRANSF®9ORM‘ÕX­AR“GUMENT˜«49Ž €n ý•@PÂ174.Ž©·h–ª¨«De ne‘UUÂT‘ÿ «ransformŽ‘;'«functions‘@­125“·i‘Ç«+·ޤ ‘ ÂT‘ÿ «ransformŽ‘AÈÓT‘ÿ @@ -665,7 +689,7 @@ «ransformŽ‘;'«functions‘@­124“·i‘Ç«+·Ž¡‘ ÂT‘ÿ «ransformŽ‘AÈÓopQÇeratorŽ‘m_ˆ·Ž‘r_‰«(ÂconstŽ‘*¢T‘ÿ -«ransformŽ‘Uót±tŽ‘Yæ«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹1 Šn ý‘ì·x«179›­3DLDFPR•ÃŽG’å¢ýÂTRANSF®9ORM‘ÕX­AR“GUMENT˜«49Ž €n ý•@PÂ179.Ž©·h–ª¨«De ne‘UUÂT‘ÿ +«ransformŽ‘Uót±tŽ‘Yæ«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹2); Šn ý‘ì«50›ÂTRANSF®9ORM‘ÕX­AR•ÃŽGUMENT’å¢ý3DLDFPR“G˜·x«179Ž €n ý•@PÂ179.Ž©·h–ª¨«De ne‘UUÂT‘ÿ «ransformŽ‘;'«functions‘@­125“·i‘Ç«+·ޤ ‘ ÂT‘ÿ «ransformŽ‘AÈÓT‘ÿ @@ -674,12 +698,12 @@ ·fŽ¡‘ÂT‘ÿ «ransformŽ‘KÈÔ±aŽ‘SÙ«=‘Ç·Ž‘ÇÏthisŽ‘²Ï«;ަ‘±aŽ‘J·«=ŽŽ‘+ž±tŽ‘/:ó«;Ž¡‘±aŽ‘I2:Ïcle‘ÿ}'anŽ‘A‚«(‘ª¨);Ž¡‘ÂreturnŽ‘7æ¼±aŽ‘=/ì«;Ž¡‘ ·gޤÂ180.‘ üMatrix‘ÕTin•®9v“ersion.Ž¡181.‘ üconst–Kwvš®9ersion“(no“assignmen˜t).‘ ü«It–Ýswš¸ãould“bGe“easy“to“generate“the“in˜v˜erses“of“the“transformationsޤ that–ù¢I›ùwcall“explicitly“using“Ïr‘ÿ}'otateŽ‘hà«(–ª®),‘"µÏshiftŽ‘@2«(“),–"µetc.,“as–ù¢I˜go“along.‘^­Ho•¸ãw“ev“er,‘"µit–ù¢is“not“pGossible“to“do“this“forŽ¡the–Ó³ones“proGduced“using“ÂopQÇeratorŽ‘/jh·Ž‘4ji«(›ª¨)“and“ÂopQÇeratorŽ‘/jh·«=ŽŽŽ‘<1‡(˜).‘ìâSo,‘óKsince“a“matrix“in•¸ãv“ersion–Ó³routine“is“neededŽ¡an•¸ãyw“a“y‘ÿ*ª,–UUI“don't“bGother“to“generate“the“in•¸ãv“erses–UUas“I“go“along.Ž¡‘ -TO‘\îDO:–\ðGet“format“for“references!‘ˆ—ÏinverseŽ‘$—«(‘ª®)“uses“the“Gau-Jordan“algorithm“with“column“pivš¸ãot“searc˜h.Ž¡I'v•¸ãe›UUtak“en˜the˜algorithm˜from˜StoGer,˜Josef.‘qÇÏNumerische–“çMathematik“1‘[Ÿü^ÿ®1Ž‘ ,Ϋand˜adapted˜it˜to˜¬C‘€Ÿÿ®+‘ÿ+ŽŽ‘ G «.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.12.01.«]Ž‘YŸ!!‘6Changed‘ìÏhiŽ‘j«from‘ìÂrealŽ‘6«to‘ìÂin®9tŽ‘'Ø«bGecause–ìof“a“w¸ãarning,‘Ìwhen“I‘ëôtried“to“compile“underŽ¡GNU/Lin¸ãux.‘qÇI–UUthink“ÏhiŽ‘_Þ«can“bšGe“an“Âin®9tŽ‘¤÷«,“but“test“to“b˜e“sure!ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂT‘ÿ +TO‘\îDO:–\ðGet“format“for“references!‘ˆ—ÏinverseŽ‘$—«(‘ª®)“uses“the“Gau-Jordan“algorithm“with“column“pivš¸ãot“searc˜h.Ž¡I'v•¸ãe›UUtak“en˜the˜algorithm˜from˜StoGer,˜Josef.‘qÇÏNumerische–“çMathematik“1‘[Ÿü^ÿ®1Ž‘ ,Ϋand˜adapted˜it˜to˜¬C‘€Ÿÿ®+‘ÿ+ŽŽ‘ G «.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.12.01.«]Ž‘YŸ!!‘6Changed‘ìÏhiŽ‘j«from‘ìÂrealŽ‘6«to‘ìÂin®9tŽ‘'Ø«bGecause–ìof“a“w¸ãarning,‘Ìwhen“I‘ëôtried“to“compile“underŽ¡GNU/Lin¸ãux.‘qÇI–UUthink“ÏhiŽ‘_Þ«can“bšGe“an“Âin®9tŽ‘¤÷«,“but“test“to“b˜e“sure!ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂT‘ÿ «ransformŽ‘;'«functions‘@­124“·i‘Ç«+·Ž¡‘ ÂT‘ÿ -«ransformŽ‘AÈÓÏinverseŽ‘a×Z«(‘ª®)‘UUÂconstŽ‘*¢«;Ž ™›”‰ffŠ=Ÿ š‘ƒŽŸü^ÿ®1ŽŽ‘ -«StoGer,‘N¸Josef.›oÏNumerische–ŒLMathematik“1«.˜Ac•¸ãh“te,‘N¸neu›Mb•Gearb“eitete˜und˜erw¸ãeiterte˜Au age.‘oSpringer-V‘ÿ*ªerlag.Ž¡Berlin–UU1999.‘qÇISBN“3-540-66154-9,“page“205.ŽŽŽŒ‹2+­ Šn ý‘ì«50›ÂCONST–ÕX­VERSION“(NO“ASSIGNMENT)’Â3¾3DLDFPRÃŽG˜·x«182Ž €n ý•@PÂ182.ޤ·h–ª¨«De ne‘UUÂT‘ÿ +«ransformŽ‘AÈÓÏinverseŽ‘a×Z«(‘ª®)‘UUÂconstŽ‘*¢«;Ž ™¦>‰ffŠ=Ÿ š‘ƒŽŸü^ÿ®1ŽŽ‘ +«StoGer,‘N¸Josef.›oÏNumerische–ŒLMathematik“1«.˜Ac•¸ãh“te,‘N¸neu›Mb•Gearb“eitete˜und˜erw¸ãeiterte˜Au age.‘oSpringer-V‘ÿ*ªerlag.Ž¡Berlin–UU1999.‘qÇISBN“3-540-66154-9,“page“205.ŽŽŽŒ‹36ã Šn ý‘ì·x«182›­3DLDFPRÃŽG’Â3¾ÂCONST–ÕX­VERSION“(NO“ASSIGNMENT)˜«51Ž €n ý•@PÂ182.ޤ·h–ª¨«De ne‘UUÂT‘ÿ «ransformŽ‘;'«functions‘@­125“·i‘Ç«+·Ž© ‘ ÂT‘ÿ «ransformŽ‘AÈÓT‘ÿ @@ -688,7 +712,7 @@ 0ÁŸÿ®+‘ÿ+ŽŽ‘÷á«)‘·fަ‘2±tŽ‘5œw:ÏmatrixŽ‘?›«[±iŽ›qô«][±jŽ‘°Ä«]–Ç=“ÏmatrixŽ‘!³«[±iŽ˜«][±jŽ‘°Ä«];ަ‘2ÂifŽ‘=´ý«(ÝDEBUGŽ‘ÆY«)‘·fަ‘<Ïc‘ÿ}'outŽ‘R U·‘ÇÏmatrixŽ‘!³«[±iŽ‘qô«][±jŽ‘°Ä«]–Ç·“Ý"È Ý"Ž‘ w«;ަ‘2·gަ‘(gަ‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘·fަ‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"\n"Ž‘Mt«;ަ‘(·gަ‘gަ‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘·fަ‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"\n"Ž‘Mt«;ަ‘(±tŽ‘+œv:ÏshowŽ‘Šÿ«(Ý"t"Ž‘F_«);ަ‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"EnterÈ ÝÈ ÝtoÈ ÝcŽ‘kÆÜontinue.\n\n"Ž’³T5·‘ÇÏ ushŽ‘€«;ަ‘(ÏgetcharŽ‘I&«(‘ª®);ަ‘·gŽ¡‘Âin®9tŽ‘/¤ú±pŽ‘4¬ú«[±nŽ‘š«];Ž¡‘ÂforŽ‘/艫(Âin®9tŽ‘¤÷±jޑӫ=‘Ç0Ž‘Ç;‘ÿý±jŽ‘ wÙ<‘ÇnŽ‘Dz«;‘ÿý±jŽ‘ 0ÁŸÿ®+‘ÿ+ŽŽ‘÷á«)‘±pŽ‘ «[±jŽ‘°Ä«]–Ç=“±jŽ‘wÜ«;ަ‘ÂforŽ‘/艫(±jŽ‘wÜ«=‘Ç0Ž‘Ç;‘ÿý±jŽ‘ wÙ<‘ÇnŽ‘Dz«;‘ÿý±jŽ‘ -0ÁŸÿ®+‘ÿ+ŽŽ‘÷á«)‘UU·fŽŽŽŒ‹34 Šn ý‘ì·x«183›­3DLDFPRÃŽG’Â3¾ÂCONST–ÕX­VERSION“(NO“ASSIGNMENT)˜«51Ž €n ý•@PÂ183.‘ ü«Piv•¸ãot‘UUsearc“h.Ž©·h–ª¨«De ne‘UUÂT‘ÿ +0ÁŸÿ®+‘ÿ+ŽŽ‘÷á«)‘UU·fŽŽŽŒ‹4? Šn ý‘ì«52›ÂCONST–ÕX­VERSION“(NO“ASSIGNMENT)’Â3¾3DLDFPRÃŽG˜·x«183Ž €n ý•@PÂ183.‘ ü«Piv•¸ãot‘UUsearc“h.Ž©·h–ª¨«De ne‘UUÂT‘ÿ «ransformŽ‘;'«functions‘@­125“·i‘Ç«+·ޤ ‘ ÏmaxŽ‘ k´«=‘ÇÏfabsŽ‘ùê«(±tŽ‘œr:ÏmatrixŽ‘?›«[±jŽ–°Ä«][±jŽ“«]);Ž¡‘ Ïr‘ÿ}'owޑӄ«=‘DZjŽ‘wÜ«;Ž¡‘ @@ -710,7 +734,7 @@ ±tŽ‘ œs:ÏmatrixŽ‘?›«[±jŽ–°Ä«][±jŽ“«]–Ç=“ÏhrŽ‘ ±d«;Ž¡‘ ÂforŽ‘臫(±kŽ‘Ln«=‘Ç0Ž‘Ç;‘ÿý±kŽ‘ Lk<‘ÇnŽ‘Dz«;‘ÿý±kŽ‘ SŸÿ®+‘ÿ+ŽŽ‘Ìs«)Ž¡‘ÂifŽ‘´ú«(±kŽ‘Ln·6«=‘DZjŽ‘wÜ«)‘·fŽ¡‘ÂforŽ‘/艫(±iŽ‘9 «=‘Ç0Ž‘Ç;‘ÿý±iŽ‘ 9 <‘ÇnŽ‘Dz«;‘ÿý±iŽ‘ññŸÿ®+‘ÿ+ŽŽ‘¹«)Ž¡‘(ÂifŽ‘3´ü«(±iŽ‘9 ·6«=‘DZjŽ‘wÜ«)‘±tŽ‘œr:ÏmatrixŽ–?›«[±iŽ›qô«][±kŽ‘…V«]‘Ç·«=ŽŽ‘l±tŽ‘¸Þ:ÏmatrixŽ“«[±iŽ˜«][±jŽ›°Ä«]–8à·“±tŽ‘ÕR:ÏmatrixŽ‘?›«[±jŽ˜«][±kŽ‘…V«];Ž¡‘±tŽ‘!œu:ÏmatrixŽ‘?›«[±jŽ‘°Ä«][±kŽ‘…V«]‘Ç·«=ŽŽ‘UO·Ž‘mÏhrŽ‘%¹«;Ž¡‘·gŽ¡‘ g‘±=·‘ÿý«outer‘UUÂforŽ‘胷±=Ž¡‘ -ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"FinishedÈ ÝTransformaŽ‘kÆÜtion.\n"Ž’™D·‘ÇÏ ushŽ‘€«;ŽŽŽŒ‹4‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ -«[¬LDF‘T2003.11.12.«]Ž‘ZCáRemo•¸ãv“ed–ûthe“vš¸ãersion“con˜trol“iden˜ti ers“from“the“CWEB‘© les“for“the“distribution“ofަ3DLDF–UU1.1.‘qÇThey're“still“used“in“mš¸ãy“dev˜elopmen˜t“v˜ersions.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h‘ª¨«V‘ÿ*ªersion–UUconš¸ãtrol“iden˜ti er‘@­10‘ª¨·i‘Ç«+·ŽŸÂ197.‘ üInclude‘ÕT les.Ž¡·h–ª¨«Include‘UU les‘@­11“·i‘Ç«+·ަ«#ÂincludeŽ‘'Ø~Ý"loader.h"ŽŽ¦«#ÂincludeŽ‘'Ø~Ý"pspglb.h"ŽŽ¦«#ÂincludeŽ‘'Ø~Ý"io.h"ŽŽ¦«#ÂincludeŽ‘'Ø~Ý"colors.h"ŽŽ¦«#ÂincludeŽ‘'Ø~Ý"transfor.h"ŽŽ¤Â198.‘ üShapQÇe–ÕTclass“de nition.Ž¡199.‘ üclassŽ‘&`MP•®9oin“tŽ‘EOê«is–UUkno¸ãwn“when“Èshapes.c“«is“compiled,“bGecause“it's“declared“(but“not“de ned)“inŽŽŽŒ‹6W… Šn ý‘ì«54›ÂSHAPE–ÕX­CLASS“DEFINITION’êÛ[3DLDFPRÃŽG˜·x«199Ž €n ý•@P‘ -Ètransfor.web«,–UUwhicš¸ãh“is“proGcessed“b˜y“ÝcmplŽ‘1« rst.ޤ ‘ -??‘^BApparenš¸ãtly‘ÿ*ª,‘&|bGoth–Æthe“return“v‘ÿqÇalue“and“the“argumen˜t“t˜ypGes“of“pure“virtual“functions“m˜ust“bGe“the“same,Ž¡otherwise–UUthe“derivš¸ãed“classes“will“cause“compiler“errors.‘qÇChec˜k“where“this“is“stated.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.05.16.«]Ž‘Y;Added–UUdeclarations“of“Ïget‘‰ffŽ–®minimum‘‰ffŽ“zŽ‘F³-«(›ª®)“and“Ïget‘‰ffŽ–®me‘ÿ}'an‘‰ffŽ“zŽ‘4 _«(˜).ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡‘ -formatŽ‘3c(ÏShap‘ÿ}'eŽ‘VintŽŽ¡·h–ª¨«De ne‘UUÂShapQÇeŽ‘%–·«class‘@­199“·i‘Çޤ ‘ +«ransformŽ‘Vé'­122“·iŽ¡‘ +h›ª¨«Declarations–UUfor“the“header“ le‘@­18˜·iŽŸÂ196.– üShapšQÇe“(Èshapes.webÂ).‘M­0«[¬LDF‘T2002.10.20.«]Ž’œµjÂShap˜eŽ’¾öÌ«is–UUan“abstract“class.‘qÇThis“meansŽ¡that–ª–no“ob‘Ž8jects“of“tš¸ãypGe“ÂShapQÇeŽ‘&A9«ma˜y“bGe“declared.‘q‹ÂShapQÇeŽ‘(.«is“used“as“a“base“class“for“all“\dra˜w˜able"“classes,Ž¡e.g.,‘‘ÙÂP•®9oin“tŽ‘,!«,‘‘ÙÂP®9athŽ‘#=«,‘‘Ùand‘…¾ÂDoQÇdecahedronŽ‘LEL«.‘All–…¾ob‘Ž8jects“that“are“put“onš¸ãto“a“ÂPictureŽ‘,§‰«m˜ust“bGe“either“ÂShapQÇesŽŽ¡«or‘UUÂLabQÇelsŽ‘$ô«.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.11.12.«]Ž‘ZCáRemo•¸ãv“ed–ûthe“vš¸ãersion“con˜trol“iden˜ti ers“from“the“CWEB‘© les“for“the“distribution“ofŽ¡3DLDF–UU1.1.‘qÇThey're“still“used“in“mš¸ãy“dev˜elopmen˜t“v˜ersions.Ž¡‘ +[¬LDF‘T2003.12.10.«]Ž‘YQ‘Put–ž«the“vš¸ãersion“con˜trol“iden˜ti ers“bac˜k“in˜to“m˜y“release“v˜ersions“for“3DLDF‘ž™1.1.4.‘MÊI'v˜eŽ¡already–"¯put“some“of“them“bacš¸ãk“in,‘,Ñno˜w“I'm“doing“the“rest“of“them.‘`åHo˜w˜ev˜er,‘,Ñthe“release“v˜ersions“are“no˜w“inŽ¡their–UUoš¸ãwn“R˜CS“repGository‘ÿ*ª.ަŸüÈ„`ÕÁGŽŽ¦·h‘ª¨«V‘ÿ*ªersion–UUconš¸ãtrol“iden˜ti er‘@­10‘ª¨·i‘Ç«+·Ž¡‘ +ÂstaticŽ‘)HÚstringŽ‘Jn'Ïr‘ÿ}'cs‘‰ffŽ‘®idŽ‘g(«=‘ÇÝ"$Id:È Ýshapes.web,vÈ Ý1Ž‘kÆÜ.2È Ý2003/12/10È Ý16:44:Ž’ÔÆ 36È Ýlfinsto1È ÝExpÈ Ý$"Ž’3ÌÒ«;ŽŸÂ197.‘ üInclude‘ÕT les.ަ·h–ª¨«Include‘UU les‘@­11“·i‘Ç«+·Ž¡«#ÂincludeŽ‘'Ø~Ý"loader.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"pspglb.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"io.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"colors.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"transfor.h"ŽŽ¤Â198.‘ üShapQÇe–ÕTclass“de nition.Ž¡199.‘ üclassŽ‘&`MP•®9oin“tŽ‘EOê«is–UUkno¸ãwn“when“Èshapes.c“«is“compiled,“bGecause“it's“declared“(but“not“de ned)“inޤ ‘ +Ètransfor.web«,–UUwhicš¸ãh“is“proGcessed“b˜y“ÝcmplŽ‘1« rst.Ž¡‘ +??‘^BApparenš¸ãtly‘ÿ*ª,‘&|bGoth–Æthe“return“v‘ÿqÇalue“and“the“argumen˜t“t˜ypGes“of“pure“virtual“functions“m˜ust“bGe“the“same,Ž¡otherwise–UUthe“derivš¸ãed“classes“will“cause“compiler“errors.‘qÇChec˜k“where“this“is“stated.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.05.16.«]Ž‘Y;Added–UUdeclarations“of“Ïget‘‰ffŽ–®minimum‘‰ffŽ“zŽ‘F³-«(›ª®)“and“Ïget‘‰ffŽ–®me‘ÿ}'an‘‰ffŽ“zŽ‘4 _«(˜).ަŸüÈ„`ÕÁGŽŽ¦‘ +ÂformatŽ‘3c(ÏShap‘ÿ}'eŽ‘VintŽŽ¦·h–ª¨«De ne‘UUÂShapQÇeŽ‘%–·«class‘@­199“·i‘ÇŽ¡‘ ÂclassŽ‘$àRShapQÇeŽ‘G!´·fŽ¡ÂprotectedŽ‘0o˜«:‘ÂstaticŽ‘$HÙconstŽ‘Bs{signedŽ‘eãqshortŽ’ƒ®ÝDRAWDOTŽ’¨ôg«;‘±=·‘ÿýÂconstŽ‘#*Ÿ«v‘ÿqÇalues–UUused“for“output.‘o·±=Ž¡‘ ÂstaticŽ‘)HÚconstŽ‘Gs|signedŽ‘jãrshortŽ’ˆ®ÝDRAWŽ’ž4q«;Ž¡‘ ÂstaticŽ‘)HÚconstŽ‘Gs|signedŽ‘jãrshortŽ’ˆ®ÝFILLŽ’ž4q«;Ž¡‘ @@ -765,7 +791,7 @@ ÂstaticŽ‘)HÚconstŽ‘Gs|signedŽ‘jãrshortŽ’ˆ®ÝUNDRAWDOTŽ’¸tb«;Ž¡‘ ÂstaticŽ‘)HÚconstŽ‘Gs|signedŽ‘jãrshortŽ’ˆ®ÝUNDRAWŽ’¨´k«;Ž¡‘ ÂstaticŽ‘)HÚconstŽ‘Gs|signedŽ‘jãrshortŽ’ˆ®ÝUNFILLŽ’¨´k«;Ž¡‘ -ÂstaticŽ‘)HÚconstŽ‘Gs|signedŽ‘jãrshortŽ’ˆ®ÝUNFILLDRAWŽ’½´_«;ޤ ­See–ÕXalso“section“200.Ž¡This–ÕXco‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.11.12.«]Ž‘ZCáRemo•¸ãv“ed–ûthe“vš¸ãersion“con˜trol“iden˜ti ers“from“the“CWEB‘© les“for“the“distribution“ofŽ¡3DLDF–UU1.1.‘qÇThey're“still“used“in“mš¸ãy“dev˜elopmen˜t“v˜ersions.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h‘ª¨«V‘ÿ*ªersion–UUconš¸ãtrol“iden˜ti er‘@­10‘ª¨·i‘Ç«+·ŽŸÂ206.‘ üInclude‘ÕT les.ަ·h–ª¨«Include‘UU les‘@­11“·i‘Ç«+·Ž¡«#ÂincludeŽ‘'Ø~Ý"loader.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"pspglb.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"io.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"colors.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"transfor.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"shapes.h"ŽŽ©Â207.– üLabšQÇel.“«[¬LDF‘T2002.10.20.«]Ž‘Zì ÂLab˜elsŽ‘oÖ«are–¹+the“only“ob‘Ž8jects,‘Ò!other“than“ÂShap˜esŽ‘'.t«,‘Ò!that“can“bGe“put“on¸ãtoŽ¡ÂPicturesŽ‘*%I«.‘[ºThey–/are“created“b¸ãy“the“functions“Ïlab‘ÿ}'elŽ‘‡Ç«(›ª®)“and“Ïdotlab‘ÿ}'elŽ‘%"«(˜),‘ jwhicš¸ãh“are“curren˜tly“de ned“for“ÂP•®9oin“tsŽŽ¡«and‘UUÂP®9athsŽ‘ oõ«.ަÂ208.› üLabQÇel–þxclass“de nition.˜«A‘yÂLabQÇelŽ‘#3«conš¸ãtains–ya“pGoin˜ter“to“a“ÂP•®9oin“tŽ‘c«,‘‚ whic˜h“is“its“loGcation,‘‚ a“Âb•QÇo“olŽ‘>G«toŽ¡indicate–.gwhether“the“labšGel“should“ha•¸ãv“e–.ga“dot“or“not,‘d«a“ÂstringŽ‘&,Æ«for“the“text“of“the“lab˜el“and“a“ÂstringŽ‘&,Æ«forŽ¡pšGositioning–¬áthe“text“with“resp˜ect“to“the“lab˜el.‘xlÏptŽ‘ ê«m¸ãust“b˜e“a“p˜oin¸ãter,‘ÂÅb˜ecause“ÂP•®9oin“tŽ‘"ô +h–ª¨«De ne‘UUÂstaticŽ‘"ž.ShapQÇeŽ‘Dß«mem¸ãbGer‘UUv‘ÿqÇariables‘@­201“·iŽŽŽŒ‹:‹¾ Šn ý‘ì«58›­PUTTING–ÕXÂSHAPE“­TOGETHER’àVW3DLDFPRÃŽG˜·x«204Ž €n ý•@PÂ204.‘ ü«This–UUis“what's“written“to“Èshapes.h«.Ž©·h‘ª¨Ýshapes.hŽ‘5°ù­204‘ª¨·i‘Çޤ ‘ +h–ª¨«De ne‘UUÂShapQÇeŽ‘%–·«class‘@­199“·iŽŸÂ205.› üPicture–ÕTand“LabQÇel˜(Èpictures.webÂ).ŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.11.12.«]Ž‘ZCáRemo•¸ãv“ed–ûthe“vš¸ãersion“con˜trol“iden˜ti ers“from“the“CWEB‘© les“for“the“distribution“ofŽ¡3DLDF–UU1.1.‘qÇThey're“still“used“in“mš¸ãy“dev˜elopmen˜t“v˜ersions.Ž¡‘ +[¬LDF‘T2003.12.10.«]Ž‘YQ‘Put–ž«the“vš¸ãersion“con˜trol“iden˜ti ers“bac˜k“in˜to“m˜y“release“v˜ersions“for“3DLDF‘ž™1.1.4.‘MÊI'v˜eŽ¡already–"¯put“some“of“them“bacš¸ãk“in,‘,Ñno˜w“I'm“doing“the“rest“of“them.‘`åHo˜w˜ev˜er,‘,Ñthe“release“v˜ersions“are“no˜w“inŽ¡their–UUoš¸ãwn“R˜CS“repGository‘ÿ*ª.ަŸüÈ„`ÕÁGŽŽ¦·h‘ª¨«V‘ÿ*ªersion–UUconš¸ãtrol“iden˜ti er‘@­10‘ª¨·i‘Ç«+·Ž¡‘ +ÂstaticŽ‘)HÚstringŽ‘Jn'Ïr‘ÿ}'cs‘‰ffŽ‘®idŽ‘g(«=‘ÇÝ"$Id:È Ýpictures.web,vŽ‘kÆÜÈ Ý1.2È Ý2003/12/10È Ý16:1Ž’ÔÆ 7:06È Ýlfinsto1È ÝExpÈ Ý$"Ž’>LÌ«;ŽŸÂ206.‘ üInclude‘ÕT les.ަ·h–ª¨«Include‘UU les‘@­11“·i‘Ç«+·Ž¡«#ÂincludeŽ‘'Ø~Ý"loader.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"pspglb.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"io.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"colors.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"transfor.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"shapes.h"ŽŽ©Â207.– üLabšQÇel.“«[¬LDF‘T2002.10.20.«]Ž‘Zì ÂLab˜elsŽ‘oÖ«are–¹+the“only“ob‘Ž8jects,‘Ò!other“than“ÂShap˜esŽ‘'.t«,‘Ò!that“can“bGe“put“on¸ãtoŽ¡ÂPicturesŽ‘*%I«.‘[ºThey–/are“created“b¸ãy“the“functions“Ïlab‘ÿ}'elŽ‘‡Ç«(›ª®)“and“Ïdotlab‘ÿ}'elŽ‘%"«(˜),‘ jwhicš¸ãh“are“curren˜tly“de ned“for“ÂP•®9oin“tsŽŽ¡«and‘UUÂP®9athsŽ‘ oõ«.ަÂ208.› üLabQÇel–þxclass“de nition.˜«A‘yÂLabQÇelŽ‘#3«conš¸ãtains–ya“pGoin˜ter“to“a“ÂP•®9oin“tŽ‘c«,‘‚ whic˜h“is“its“loGcation,‘‚ a“Âb•QÇo“olŽ‘>G«toŽ¡indicate–.gwhether“the“labšGel“should“ha•¸ãv“e–.ga“dot“or“not,‘d«a“ÂstringŽ‘&,Æ«for“the“text“of“the“lab˜el“and“a“ÂstringŽ‘&,Æ«forŽ¡pšGositioning–¬áthe“text“with“resp˜ect“to“the“lab˜el.‘xlÏptŽ‘ ê«m¸ãust“b˜e“a“p˜oin¸ãter,‘ÂÅb˜ecause“ÂP•®9oin“tŽ‘"ô «is“an“incomplete“t¸ãyp˜eŽ¡here.‘¶—Ïp‘ÿ}'ositionŽ‘.Þ«can–ðbGe“anš¸ãy“of“the“strings“used“in“MET‘ÿ*ªAF˜ONT,“i.e.,‘GVÝ"top"Ž– ¯«,‘GVÝ"bot"Ž“«,‘GVÝ"lft"Ž“«,‘GVÝ"rt"Ž‘Ͳ«,‘GVÝ"llft"Ž‘$M¬«,Ž¡Ý"ulft"Ž‘ V«,‘UUÝ"lrt"Ž›®«,–UUor“Ý"urt"Ž˜«.Ž¡‘ [¬LDF‘T2002.10.09.«]Ž‘Y;ÂLabQÇelsŽ‘}(/«are–UUcurrenš¸ãtly“only“ev˜er“created“on“the“free“store.ޤ‘ ÂformatŽ‘3c(ÏL–ÿ}'ab“elŽ‘Sa±intŽŽ¡·h–ª¨«De ne‘UUclasses‘@­208“·i‘Çޤ ‘ ÂclassŽ‘$àRLabQÇelŽ‘Dw ·fŽ¡‘ÂfriendŽ‘5f¼classŽ‘PG P•®9oin“tŽ‘káU«;Ž¡‘ÂfriendŽ‘5f¼classŽ‘PG PictureŽ‘uã«;Ž¡‘ÂP•®9oin“tŽ‘2Ž‘7ï ÏptŽ‘AÔ=«;Ž¡‘Âb•QÇo“olŽ‘-¡hÏdotŽ‘<¢u«;Ž¡‘ÂstringŽ‘5%OÏtextŽ‘F}«;Ž¡‘ÂstringŽ‘5%OÏp‘ÿ}'ositionŽ‘Xi¦«;Ž¡‘ ÂpublicŽ‘)=Ö«:‘ÂstaticŽ‘$HÙb•QÇo“olŽ‘=ê?ÝDO_LABELSŽ‘m°Œ«;ŽŸ‘·h–ª¨«Declare‘UUÂLabQÇelŽ‘"ì «functions‘@­210“·iŽ¡‘ -g«;ޤ ­See–ÕXalso“section“216.Ž¡This–ÕXco‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ© ‘ -«[¬LDF‘T2002.10.20.«]Ž‘Y;Added–UUthis“section.‘qÇÝDO_LABELSŽ‘7i«w¸ãas“formerly“a“global“v‘ÿqÇariable“de ned“in“Èpspglb.web«.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Initialize‘UUÂstaticŽ‘"ž.LabQÇelŽ‘B4æ«data‘UUmem¸ãbGers‘@­209“·i‘Çަ‘ -Âb•QÇo“olŽ‘#¡gLabQÇelŽ‘@âΫ::‘ÝDO_LABELSŽ‘3i«=‘ÇÏtrueŽ‘‹°«;ŽŸ ­This–ÕXco‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ -«[¬LDF‘T2002.10.23.«]Ž‘Y;Added–UUargumen¸ãts“Ïpr‘ÿ}'ojŽ‘žm«and“ÏfactorŽ‘Y3«.Ž¡ŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂLabQÇelŽ‘"ì «functions‘@­210“·i‘Çަ‘ +g«;ޤ ­See–ÕXalso“section“216.Ž¡This–ÕXcouC«&Ž‘F‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ -«[¬LDF‘T2003.05.11.«]Ž‘Y;Added‘UUÝAXONŽ‘Û±«.Ž¡ŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h›ª¨«Declare–UUnamespace“ÂPro‘£ŽjectionsŽ‘Aa¹­211˜·i‘Çަ‘ -ÂnamespaceŽ‘C£{Pro‘£ŽjectionsŽ’€Å0·fަ‘ÂexternŽ‘8ØconstŽ‘VHzunsignedŽ’†ˆshortŽ’¤J+ÝPERSPŽ’Áל«=‘Ç0Ž‘Ç;ަ‘ÂexternŽ‘8ØconstŽ‘VHzunsignedŽ’†ˆshortŽ’¤J+ÝPARALLEL_X_YŽ’æ—‡«=‘Ç1Ž‘Ç;ަ‘ÂexternŽ‘8ØconstŽ‘VHzunsignedŽ’†ˆshortŽ’¤J+ÝPARALLEL_X_ZŽ’æ—‡«=‘Ç2Ž‘Ç;ަ‘ÂexternŽ‘8ØconstŽ‘VHzunsignedŽ’†ˆshortŽ’¤J+ÝPARALLEL_Z_YŽ’æ—‡«=‘Ç3Ž‘Ç;ަ‘ÂexternŽ‘8ØconstŽ‘VHzunsignedŽ’†ˆshortŽ’¤J+ÝAXONŽ’¼—Ÿ«=‘Ç4Ž‘Ç;ަ‘ÂexternŽ‘8ØconstŽ‘VHzunsignedŽ’†ˆshortŽ’¤J+ÝISOŽ’·W¢«=‘Ç5Ž‘Ç;ަ‘ -·g«;ŽŸ ­This–ÕXco‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.05.16.«]Ž‘Y;Added–UUthis“namespace.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h›ª¨«Declare–UUnamespace“ÂSortingŽ‘,ÿŸ­213˜·i‘ÇŽ¡‘ +·g«;ŽŸ ­This–ÕXcoclass“de nition.˜«[¬LDF‘T2002.08.06.«]Ž‘Z¯DNote–|cthat“ÂLabQÇelŽ‘#:)«has“a“ÂpublicŽ‘&6›staticŽ‘E¦‚«data“mem¸ãbGerޤ named‘ÖYÝDO_LABELSŽ‘3œ¦«,‘öšwhicš¸ãh–ÖYis“used“for“globally“enabling“or“suppressing“putting“ÂLabQÇelsŽ‘(wQ«on˜to“ÂPicturesŽ‘1Ñû«(seeŽ¡abGo•¸ãv“e).Ž¡‘ @@ -850,17 +878,16 @@ «ransformŽ‘KÈÔÏtr‘ÿ}'ansformŽ‘w|«;Ž¡‘Âv®9ectorŽ‘3ªJ·hÂShapQÇeŽ‘"Ab·Ž‘'Aci‘UUÏshap‘ÿ}'esŽ‘ CÞ«;Ž¡‘Âv®9ectorŽ‘3ªJ·hÂLabQÇelŽ‘–¸·Ž‘$–¹i‘UUÏlab‘ÿ}'elsŽ‘ªE«;Ž¡‘Âb•QÇo“olŽ‘-¡hÏdo‘‰ffŽ‘®lab‘ÿ}'elsŽ‘SÝK«;ަ‘ ÂpublicŽ‘)=Ö«:‘·h–ª¨«Declare‘UUÂPictureŽ‘,F·«functions‘@­218“·iŽ¡‘ g«;ޤÂ217.‘ üConstructors.Ž¡218.– üDefault‘ÕTconstructor.“«(No‘UUargumen¸ãts).ަ·h–ª¨«Declare‘UUÂPictureŽ‘,F·«functions‘@­218“·i‘ÇŽŸ ‘ -ÂPictureŽ‘/œ«(‘ª®);ޤ ­See–ÕXalso“sections“220,“222,“224,“225,“227,“229,“230,“231,“235,“238,“240,“241,“243,“244,“246,“248,“250,“253,“254,“255,“and“256.Ž¡This–ÕXco«¶ Šn ý‘ì«62›­DEF‘ÿ8A•ÃŽUL‘ÿJªT‘ÕXCONSTR“UCTOR’ùQ÷3DLDFPR“G˜·x«219Ž €n ý•@PÂ219.Ž©·h–ª¨«De ne‘UUÂPictureŽ‘,F·«functions‘@­219“·i‘Çޤ ‘ ÂPictureŽ‘0œ«::‘ÂPictureŽ‘&œ«(‘ª®)Ž¡‘ :‘qÇÏdo‘‰ffŽ‘®lab‘ÿ}'elsŽ‘*­ª«(Ïtrueޑƫ)‘UU·f‘ª¨gޤ ­See–ùalso“sections“226,–ð228,“232,“236,“239,“242,“245,“247,“249,“251,“373,“396,“543,“544,“545,“546,“548,“549,“550,“551,“552,“553,ŽŸ ‘and‘ÕX554.Ž¡This–ÕXcoŸÓVEŽ‘ãxXŽ‘i¡macro“for“\POR›ÿ*ªTING".“!!‘¥­POR˜TING.“[¬LDF‘T2002.12.05.«]Ž‘R€)Mo•¸ãv“edŽ¡to–”žÈpoints.web“«bGecause“ÂPictureŽ‘)0¯«::‘Ïcle‘ÿ}'arŽ‘(Ý«(›ª®)“and“ÂLabQÇelޑ֫::‘Ïget‘‰ffŽ‘®c‘ÿ}'opyŽ‘%ø«(˜)“are“unde ned“in“this“ le.‘1ŠThis“didn't“causeŽ¡a–UUproblem“with“the“DEC“compiler,“but“it“doGes“with“the“GNU“Compiler.ŽŸ·h–ª¨«Declare‘UUÂPictureŽ‘,F·«functions‘@­218“·i‘Ç«+·Ž¡‘ Âv®9oidŽ‘"ýÙopQÇeratorŽ‘N”Ž«=Ž‘V[¬(ÂconstŽ‘*¢PictureŽ‘G«&Ž‘Nã"±pŽ‘Së"«);ަÂ223.‘ üAdding‘ÕTelemen®9ts.ަ224.– üAdd‘/çPicture.“«This–¤function“m¸ãust“bšGe“de ned“in“Èpoints.web«,‘·Èb˜ecause“it“uses“ÂP•®9oin“tŽ‘>_«,‘·Èwhic¸ãh“is“anŽ¡incompletely–UUde ned“ÂclassŽ‘5¦«here.Ž¡‘ -[¬LDF‘T2002.04.17.«]Ž‘Y73It–„Mseems“to“bšGe“most“useful“to“ha•¸ãv“e–„Mthe“argumen¸ãt“ÂPictureŽ‘,¤§±pŽ‘50ô«b˜e“non-ÂconstŽ‘ÕM«,‘ in“order“toŽ¡bGe–ò¢able“to“shift“it“and“add“it“to“·Ž‘ò£ÏthisŽ‘Ðû«mš¸ãultiple“times.‘PáF‘ÿ*ªor“this“to“w˜ork,‘_it“m˜ust“bšGe“p˜ossible“to“set“±pŽ‘ú¢:Ïtr‘ÿ}'ansformŽŽ¡«to–BËthe“iden•¸ãtit“y–BËmatrix“afterwš¸ãards.‘:)It“is“pGossible“to“do“this“explicitly“b˜y“calling“Ïr–ÿ}'eset‘‰ffŽ‘®tr“ansformŽ‘Gõ$«(‘ª®)“on“theŽ¡ÂPictureŽ‘)h«folloš¸ãwing–z[the“call“to“ÂopQÇeratorŽ‘/«+=ŽŽŽ‘>ŸL(‘ª¨),‘ƒœbut“it's“more“con˜v˜enien˜t“to“ha˜v˜e“it“done“automatically‘ÿ*ª.‘àÙIf“itŽ¡turns–UUout“to“bGe“useful,“I“can“add“a“ÂconstŽ‘!÷«v¸ãersion“of“this“function.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.04.17.«]Ž‘Y;Added–UUthis“declaration.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂPictureŽ‘,F·«functions‘@­218“·i‘Ç«+·ŽŸ ‘ +[¬LDF‘T2002.04.17.«]Ž‘Y73It–„Mseems“to“bšGe“most“useful“to“ha•¸ãv“e–„Mthe“argumen¸ãt“ÂPictureŽ‘,¤§±pŽ‘50ô«b˜e“non-ÂconstŽ‘ÕM«,‘ in“order“toŽ¡bGe–ò¢able“to“shift“it“and“add“it“to“·Ž‘ò£ÏthisŽ‘Ðû«mš¸ãultiple“times.‘PáF‘ÿ*ªor“this“to“w˜ork,‘_it“m˜ust“bšGe“p˜ossible“to“set“±pŽ‘ú¢:Ïtr‘ÿ}'ansformŽŽ¡«to–BËthe“iden•¸ãtit“y–BËmatrix“afterwš¸ãards.‘:)It“is“pGossible“to“do“this“explicitly“b˜y“calling“Ïr–ÿ}'eset‘‰ffŽ‘®tr“ansformŽ‘Gõ$«(‘ª®)“on“theŽ¡ÂPictureŽ‘)h«folloš¸ãwing–z[the“call“to“ÂopQÇeratorŽ‘/«+=ŽŽŽ‘>ŸL(‘ª¨),‘ƒœbut“it's“more“con˜v˜enien˜t“to“ha˜v˜e“it“done“automatically‘ÿ*ª.‘àÙIf“itŽ¡turns–UUout“to“bGe“useful,“I“can“add“a“ÂconstŽ‘!÷«v¸ãersion“of“this“function.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.04.17.«]Ž‘Y;Added–UUthis“declaration.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂPictureŽ‘,F·«functions‘@­218“·i‘Ç«+·ŽŸ ‘ Âv®9oidŽ‘"ýÙopQÇeratorŽ‘N”Ž«+=ŽŽŽ‘^"Ê(ÂconstŽ‘*¢PictureŽ‘G«&Ž‘Nã"±pŽ‘Së"«);ަÂ225.‘ üAdd‘ÕTShapQÇe.Ž¡·h–ª¨«Declare‘UUÂPictureŽ‘,F·«functions‘@­218“·i‘Ç«+·ŽŸ ‘ -Âv®9oidŽ‘"ýÙopQÇeratorŽ‘N”Ž«+=ŽŽŽ‘^"Ê(ÂShapQÇeŽ‘"Ab·Ž‘'Ac±sŽ‘+ñc«);ŽŽŽŒ‹>¨B Šn ý‘ì«62–­ADD‘ÕXÂSHAPE’*ç­3DLDFPRÃŽG“·x«226Ž €n ý•@PÂ226.Ž©·h–ª¨«De ne‘UUÂPictureŽ‘,F·«functions‘@­219“·i‘Ç«+·ޤ ‘ +Âv®9oidŽ‘"ýÙopQÇeratorŽ‘N”Ž«+=ŽŽŽ‘^"Ê(ÂShapQÇeŽ‘"Ab·Ž‘'Ac±sŽ‘+ñc«);ŽŽŽŒ‹?µñ Šn ý‘ì·x«226–­3DLDFPRÃŽG’*çADD‘ÕXÂSHAPE“«63Ž €n ý•@PÂ226.Ž©·h–ª¨«De ne‘UUÂPictureŽ‘,F·«functions‘@­219“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙPictureŽ‘I™ê«::Ž‘P((ÂopQÇeratorŽ‘{¾Ý«+=ŽŽŽ’‹M(ÂShapQÇeŽ‘"Ab·Ž‘'Ac±sŽ‘+ñc«)Ž¡‘ ·fŽ¡‘Ïshap‘ÿ}'esŽ‘0:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(±sŽ‘°«);Ž¡‘ ·gŽŸÂ227.‘ üAdd‘ÕTLabQÇel.ަ·h–ª¨«Declare‘UUÂPictureŽ‘,F·«functions‘@­218“·i‘Ç«+·Ž¡‘ @@ -870,13 +897,13 @@ ·gŽŸÂ229.– üSuppress‘Ê•LabQÇels.“«[¬LDF‘T2002.04.25.«]Ž‘[]yAdded–*˜this“function.‘ñ‘Sometimes“it's“irritating“to“ha•¸ãv“e‘*˜theŽ¡labšGels–½“when“a“ÂPictureŽ‘-3«is“copied“and“transformed,‘×¢and“b˜oth“the“original“and“the“transformed“v¸ãersions“areŽ¡output.ަ·h–ª¨«Declare‘UUÂPictureŽ‘,F·«functions‘@­218“·i‘Ç«+·Ž¡‘ ÂinlineŽ‘)ŠIv®9oidŽ‘Bˆ!Ïsuppr–ÿ}'ess‘‰ffŽ‘®lab“elsŽ’‚´S«(‘ª®)Ž¡‘ ·fŽ¡‘Ïdo‘‰ffŽ‘®lab‘ÿ}'elsŽ‘=ý«=‘ÇÏfalseŽ‘v\«;Ž¡‘ -·gŽŸÂ230.‘ üUnsuppress‘ÕTLabQÇels.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.12.20.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂPictureŽ‘,F·«functions‘@­218“·i‘Ç«+·Ž¡‘ +·gŽŸÂ230.‘ üUnsuppress‘ÕTLabQÇels.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.12.20.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂPictureŽ‘,F·«functions‘@­218“·i‘Ç«+·Ž¡‘ ÂinlineŽ‘)ŠIv®9oidŽ‘Bˆ!Ïunsuppr–ÿ}'ess‘‰ffŽ‘®lab“elsŽ’±w«(‘ª®)Ž¡‘ ·fŽ¡‘Ïdo‘‰ffŽ‘®lab‘ÿ}'elsŽ‘=ý«=‘ÇÏtrueŽ‘‹°«;Ž¡‘ -·gŽŸÂ231.‘ üKill‘ÕTLabQÇels.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.05.07.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂPictureŽ‘,F·«functions‘@­218“·i‘Ç«+·Ž¡‘ -Âv®9oidŽ‘"ýÙÏkil‘‚Øl‘‰ffŽ‘®lab‘ÿ}'elsŽ‘LJË«(‘ª®);ŽŽŽŒ‹?µœ Šn ý‘ì·x«232–­3DLDFPRÃŽG’#ÿ'KILL‘ÕXÂLABELS“«63Ž €n ý•@PÂ232.ŽŸ·h–ª¨«De ne‘UUÂPictureŽ‘,F·«functions‘@­219“·i‘Ç«+·ޤ ‘ +·gŽŸÂ231.‘ üKill‘ÕTLabQÇels.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.05.07.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂPictureŽ‘,F·«functions‘@­218“·i‘Ç«+·Ž¡‘ +Âv®9oidŽ‘"ýÙÏkil‘‚Øl‘‰ffŽ‘®lab‘ÿ}'elsŽ‘LJË«(‘ª®);ŽŽŽŒ‹@à  Šn ý‘ì«64–­KILL‘ÕXÂLABELS’#ÿ'­3DLDFPRÃŽG“·x«232Ž €n ý•@PÂ232.ŽŸ·h–ª¨«De ne‘UUÂPictureŽ‘,F·«functions‘@­219“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙPictureŽ‘I™ê«::‘Ïkil‘‚Øl‘‰ffŽ‘®lab‘ÿ}'elsŽ‘*Lö«(‘ª®)Ž¡‘ ·fŽ¡‘Ïlab‘ÿ}'elsŽ‘,Tò±:Ïcle‘ÿ}'arŽ‘(Ù«(‘ª¨);Ž¡‘ ·gŽ©Â233.– üT‘ÿ @@ -897,19 +924,19 @@ ÂT‘ÿ «ransformŽ‘AÈÓÏshiftŽ‘UæP«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«);ަÂ241.› üRotation–yaround“the“main“axes.˜Ïr‘ÿ}'otateŽ‘%ï:«(‘ª®)–ã®will“pšGerform“rotation“ab˜out“the“x,‘Dy“and“z-axes“inŽ¡that–ô"order“if“called“with“mš¸ãultiple,‘“non-zero“argumen˜ts.‘QaRotation“only“abGout“the“y“and/or“z-axis“requires“oneŽ¡or›UUt•¸ãw“o˜dumm“y˜0˜argumen“ts˜so˜that˜Ïr‘ÿ}'otateޑē«(‘ª®)˜\kno“ws"˜abGout˜whic“h˜axis˜(or˜axes)˜to˜rotate.ŽŸ·h–ª¨«Declare‘UUÂPictureŽ‘,F·«functions‘@­218“·i‘Ç«+·Ž¡‘ ÂT‘ÿ -«ransformŽ‘AÈÓÏr‘ÿ}'otateŽ‘\8«(ÂconstŽ‘*¢realŽ‘4ÝбxŽ‘:”ì;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±yŽ‘>’ˆ«=‘Ç0Ž–Ç±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±zŽ‘>f®«=‘Ç0Ž“);ŽŽŽŒ‹@¾ Šn ý‘ì«64‘­RšÃŽOT–ÿJªA“TION–ÕXAR˜OUND“THE“MAIN“AXES’Ç7w3DLDFPR˜G‘·x«242Ž €n ý•@PÂ242.Ž©·h–ª¨«De ne‘UUÂPictureŽ‘,F·«functions‘@­219“·i‘Ç«+·ޤ ‘ +«ransformŽ‘AÈÓÏr‘ÿ}'otateŽ‘\8«(ÂconstŽ‘*¢realŽ‘4ÝбxŽ‘:”ì;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±yŽ‘>’ˆ«=‘Ç0Ž–Ç±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±zŽ‘>f®«=‘Ç0Ž“);ŽŽŽŒ‹AËG Šn ý‘ì·x«242›­3DLDFPR•ÃŽG’Ç7wR“OT–ÿJªA“TION–ÕXARÃŽOUND“THE“MAIN“AXES˜«65Ž €n ý•@PÂ242.Ž©·h–ª¨«De ne‘UUÂPictureŽ‘,F·«functions‘@­219“·i‘Ç«+·ޤ ‘ ÂT‘ÿ «ransformŽ‘AÈÓPictureŽ‘hdä«::‘Ïr‘ÿ}'otateŽ‘oB«(ÂconstŽ‘*¢realŽ‘4ÝбxŽ‘:”ì;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±yŽ‘;Ëp;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±zŽ‘;Ÿ–«)Ž¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïtr‘ÿ}'ansformŽ‘c™ý±:Ïr‘ÿ}'otateŽ‘o>«(±xŽ‘·;‘ª¨yŽ‘í ;‘ª¨zŽ‘ÁÆ«);Ž¡‘ -·gŽŸÂ243.› üRotation–·×around“an“arbitrary“axis.˜«[¬LDF‘T2002.05.03.«]Ž‘Zn’This–;±function“is“de ned“in“Èpoints.web«,Ž¡bGecause–UUit“has“ÂP•®9oin“tŽ›"Dò«argumen¸ãts,“and“ÂP•®9oin“tŽ˜«is“an“incomplete“t¸ãypGe“in“this“ le.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +·gŽŸÂ243.› üRotation–·×around“an“arbitrary“axis.˜«[¬LDF‘T2002.05.03.«]Ž‘Zn’This–;±function“is“de ned“in“Èpoints.web«,Ž¡bGecause–UUit“has“ÂP•®9oin“tŽ›"Dò«argumen¸ãts,“and“ÂP•®9oin“tŽ˜«is“an“incomplete“t¸ãypGe“in“this“ le.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.05.03.«]Ž‘Y;Added–UUthis“declaration.Ž¡‘ -[¬LDF‘T2003.05.02.«]Ž‘YËSChanged–mname“of“this“function“from“Ïr–ÿ}'otate‘‰ffŽ‘®ar“oundŽ‘@„ü«(›ª®)“to“Ïr‘ÿ}'otateŽ‘‡««(˜).‘»This“function“no¸ãwŽ¡o•¸ãv“erloads‘UUÏr‘ÿ}'otateޑē«(‘ª®)–UUwith“three“ÂrealŽ‘ƒ«argumen¸ãts.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂPictureŽ‘,F·«functions‘@­218“·i‘Ç«+·Ž¡‘ +[¬LDF‘T2003.05.02.«]Ž‘YËSChanged–mname“of“this“function“from“Ïr–ÿ}'otate‘‰ffŽ‘®ar“oundŽ‘@„ü«(›ª®)“to“Ïr‘ÿ}'otateŽ‘‡««(˜).‘»This“function“no¸ãwŽ¡o•¸ãv“erloads‘UUÏr‘ÿ}'otateޑē«(‘ª®)–UUwith“three“ÂrealŽ‘ƒ«argumen¸ãts.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂPictureŽ‘,F·«functions‘@­218“·i‘Ç«+·Ž¡‘ ÂT‘ÿ -«ransformŽ‘AÈÓÏr‘ÿ}'otateŽ‘\8«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]Ïp0Ž‘Pø±;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒÏp1Ž‘R¢Å±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏangleŽ‘Qã«=‘Ç180ŽŽ‘Ç);Ž¡‘±=·‘ÿý«Remem¸ãbGer–UUto“add“shear!‘o·±=ŽŸÂ244.‘ üSet‘ÕTtransform.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +«ransformŽ‘AÈÓÏr‘ÿ}'otateŽ‘\8«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]Ïp0Ž‘Pø±;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒÏp1Ž‘R¢Å±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏangleŽ‘Qã«=‘Ç180ŽŽ‘Ç);Ž¡‘±=·‘ÿý«Remem¸ãbGer–UUto“add“shear!‘o·±=ŽŸÂ244.‘ üSet‘ÕTtransform.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.01.17.«]Ž‘Y;Made–UUnon-inline“and“c¸ãhanged“±tŽ‘ G«from“plain“ÂT‘ÿ «ransformŽ‘;'«to“ÂconstŽ‘!÷T‘ÿ -«ransformŽ‘YHÉ«&Ž‘aç.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂPictureŽ‘,F·«functions‘@­218“·i‘Ç«+·Ž¡‘ +«ransformŽ‘YHÉ«&Ž‘aç.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂPictureŽ‘,F·«functions‘@­218“·i‘Ç«+·Ž¡‘ ÂT‘ÿ «ransformŽ‘AÈÓÏset‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘},ù«(ÂconstŽ‘*¢T‘ÿ «ransformŽ‘Uót«&Ž‘]º’±tŽ‘aW«);ŽŸÂ245.ަ·h–ª¨«De ne‘UUÂPictureŽ‘,F·«functions‘@­219“·i‘Ç«+·Ž¡‘ @@ -917,14 +944,14 @@ «ransformŽ‘AÈÓPictureŽ‘hdä«::‘Ïset‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +·gŽŸÂ246.‘ üMultiplying‘ÕTtransform.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.01.17.«]Ž‘Y;Changed‘UU±tŽ‘ G«from–UUplain“ÂT‘ÿ «ransformŽ‘;'«to“ÂconstŽ‘!÷T‘ÿ -«ransformŽ‘YHÉ«&Ž‘aç.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂPictureŽ‘,F·«functions‘@­218“·i‘Ç«+·Ž¡‘ +«ransformŽ‘YHÉ«&Ž‘aç.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂPictureŽ‘,F·«functions‘@­218“·i‘Ç«+·Ž¡‘ ÂT‘ÿ «ransformŽ‘AÈÓopQÇeratorŽ‘m_ˆ·«=ŽŽŽ‘z&§(ÂconstŽ‘*¢T‘ÿ -«ransformŽ‘Uót«&Ž‘]º’±tŽ‘aW«);ŽŽŽŒ‹AÉ Šn ý‘ì·x«247›­3DLDFPRÃŽG’ÜT»MUL–ÿJªTIPL“YING‘ÕXÂTRANSF®9ORM˜«65Ž €n ý•@PÂ247.Ž©·h–ª¨«De ne‘UUÂPictureŽ‘,F·«functions‘@­219“·i‘Ç«+·ޤ ‘ +«ransformŽ‘Uót«&Ž‘]º’±tŽ‘aW«);ŽŽŽŒ‹BÖF Šn ý‘ì«66›­MUL–ÿJªTIPL“YING‘ÕXÂTRANSF®9ORM’ÜT»­3DLDFPRÃŽG˜·x«247Ž €n ý•@PÂ247.Ž©·h–ª¨«De ne‘UUÂPictureŽ‘,F·«functions‘@­219“·i‘Ç«+·ޤ ‘ ÂT‘ÿ «ransformŽ‘AÈÓPictureŽ‘hdä«::Ž‘nó"ÂopQÇeratorŽ’š‰×·«=ŽŽŽ’§Pö(ÂconstŽ‘*¢T‘ÿ «ransformŽ‘Uót«&Ž‘]º’±tŽ‘aW«)Ž¡‘ @@ -935,7 +962,7 @@ ·fŽ¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"ShowingÈ Ýpicture:È Ý"Ž‘iÔ_·‘ÇÏtextŽ‘åü·‘ÇÝ"\n"Ž‘Œ·‘ÇÏ ushŽ‘€«;Ž¡‘Ïtr‘ÿ}'ansformŽ‘?³C±:ÏshowŽ‘Šÿ«(Ý"transform:"Ž‘?†D«);Ž¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"shapes.size()È Ý==È Ý"Ž‘iÔ_·‘ÇÏshap‘ÿ}'esŽ‘µ¡±:ÏsizeŽ‘\«(‘ª¨)–Ç·“Ïend‘‚ØlŽ‘ò·“Ï ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"labels.size()È Ý==È Ý"Ž‘iÔ_·‘ÇÏlab‘ÿ}'elsŽ‘±:ÏsizeŽ‘\«(‘ª¨)–Ç·“Ïend‘‚ØlŽ‘ò·“Ï ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"do_labelsÈ Ý==È Ý"Ž‘TÔk·‘ÇÏdo‘‰ffŽ‘®lab‘ÿ}'elsŽ‘+Ê·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"ShowingÈ Ýshapes.\n"Ž‘g G«;Ž¡‘ÂforŽ‘%ľ«(Âv®9ectorŽ‘ªH·hÂShapQÇeŽ‘"˜·Ž‘'™i‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=+M«=‘ÇÏshap‘ÿ}'esŽ–µ¡±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘Ü3ÏiterŽ‘nI·6«=‘ÇÏshap‘ÿ}'esŽ“±:ÏendŽ‘ಫ(˜);‘\3Ÿÿ®+‘ÿ+ŽŽ‘#SÏiterŽ‘!îQ«)‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:ÏshowŽ‘Šÿ«(˜);Ž¡‘ÂifŽ‘´ú«(ÏstopŽ‘Æ«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"HitÈ ÝreturnÈ ÝtoÈ ÝcontiŽ‘kÆÜnue.\n"Ž’“ÔG·‘ÇÏ ushŽ‘€«;Ž¡‘ÏgetcharŽ‘?%ÿ«(‘ª®);Ž¡‘·gŽ¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"DoneÈ ÝshowingÈ ÝpicturŽ‘kÆÜe.\n"Ž’‰TM·‘ÇÏ ushŽ‘€«;Ž¡‘ ·gŽŸÂ250.‘ üSho®9w‘ÕTtransform.ަ·h–ª¨«Declare‘UUÂPictureŽ‘,F·«functions‘@­218“·i‘Ç«+·Ž¡‘ -Âv®9oidŽ‘"ýÙÏshow‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘gSÅ«(ÂstringŽ‘!%MÏtextŽ‘5D1«=‘ÇÝ"TransformÈ ÝfromÈ ÝPictŽ‘kÆÜure:"Ž’†5«);ŽŽŽŒ‹BÓΠŠn ý‘ì«66›­SHO•ÃŽW‘ÕXÂTRANSF®9ORM’þîÑ­3DLDFPR“G˜·x«251Ž €n ý•@PÂ251.ŽŸ·h–ª¨«De ne‘UUÂPictureŽ‘,F·«functions‘@­219“·i‘Ç«+·ޤ ‘ +Âv®9oidŽ‘"ýÙÏshow‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘gSÅ«(ÂstringŽ‘!%MÏtextŽ‘5D1«=‘ÇÝ"TransformÈ ÝfromÈ ÝPictŽ‘kÆÜure:"Ž’†5«);ŽŽŽŒ‹Càz Šn ý‘ì·x«251›­3DLDFPR•ÃŽG’þîÑSHO“W‘ÕXÂTRANSF®9ORM˜«67Ž €n ý•@PÂ251.ŽŸ·h–ª¨«De ne‘UUÂPictureŽ‘,F·«functions‘@­219“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙPictureŽ‘I™ê«::‘Ïshow‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘EUð«(ÂstringŽ‘!%MÏtextŽ‘2}«)Ž¡‘ ·fŽ¡‘Ïtr‘ÿ}'ansformŽ‘?³C±:ÏshowŽ‘Šÿ«(ÏtextŽ‘WÌ«);Ž¡‘ ·gŽ©Â252.– üOutput.“«[¬LDF‘T2002.09.18.«]Ž‘Z¯Added–|$the“optional“ÂrealŽ‘V!«argumen¸ãts“Ïmin‘‰ffŽ–®x‘‰ffŽ“pr‘ÿ}'ojŽ‘3Mr«,‘…ØÏmax‘‰ffŽ–®x‘‰ffŽ“pr‘ÿ}'ojŽ‘4fË«,‘…Øetc.‘æ5TheŽ¡purpGose–zWof“these“is“to“suppress“output“of“ÂShapQÇesŽ‘,i÷«whose“Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘\øÿ«fall“outside“of“these“limits,Ž¡wherebš¸ãy–AKthe“\z"“v‘ÿqÇalues“are“not“curren˜tly“c˜hec˜k˜ed.‘kThey“are“not“set“for“a“particular“ÂF‘ÿ @@ -956,7 +983,7 @@ ·fŽ¡‘Ïtr‘ÿ}'ansformŽ‘?³C±:Ïr‘ÿ}'esetŽ‘Æ·«(‘ª¨);Ž¡‘ ·gަÂ257.‘ üGlobal‘ÕTv‘ÿ\rariables.ŽŸ·h–ª¨«Global‘UUv‘ÿqÇariables‘@­15“·i‘Ç«+·Ž¡‘ ÂPictureŽ‘2ñcÏcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘u*«;ަÂ258.ŽŸ·h›ª¨«Declarations–UUfor“the“header“ le‘@­18˜·i‘Ç«+·Ž¡‘ -ÂexternŽ‘.×PictureŽ‘W9Ïcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ’™5«;ަÂ259.‘ üPutting–ÕTPicture“and“LabQÇel“together.ŽŽŽŒ‹CÜË Šn ý‘ì·x«260›­3DLDFPRÃŽG’“ þPUTTING–ÕXÂPICTURE“­AND“ÂLABEL“­TOGETHER˜«67Ž €n ý•@PÂ260.‘ ü«This–UUis“what's“compiled.ŽŸ‘ +ÂexternŽ‘.×PictureŽ‘W9Ïcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ’™5«;ަÂ259.‘ üPutting–ÕTPicture“and“LabQÇel“together.ŽŽŽŒ‹Déx Šn ý‘ì«68›­PUTTING–ÕXÂPICTURE“­AND“ÂLABEL“­TOGETHER’“ þ3DLDFPRÃŽG˜·x«260Ž €n ý•@PÂ260.‘ ü«This–UUis“what's“compiled.ŽŸ‘ ·h–ª¨«Include‘UU les‘@­11“·iޤ ‘ h‘ª¨«V‘ÿ*ªersion–UUconš¸ãtrol“iden˜ti er‘@­10‘ª¨·iŽ¡‘ h›ª¨«Declare–UUnamespace“ÂPro‘£ŽjectionsŽ‘Aa¹­211˜·iŽ¡‘ @@ -964,13 +991,15 @@ h–ª¨«De ne‘UUclasses‘@­208“·iŽ¡‘ h–ª¨«Initialize‘UUÂstaticŽ‘"ž.LabQÇelŽ‘B4æ«data‘UUmem¸ãbGers‘@­209“·iŽ¡‘ h–ª¨«Global‘UUv‘ÿqÇariables‘@­15“·iŽ¡‘ -h–ª¨«De ne‘UUÂPictureŽ‘,F·«functions‘@­219“·iŽŽŽŒ‹Dî Šn ý‘ì«68›­PUTTING–ÕXÂPICTURE“­AND“ÂLABEL“­TOGETHER’“ þ3DLDFPRÃŽG˜·x«261Ž €n ý•@PÂ261.‘ ü«This–UUis“what's“written“to“Èpictures.h«.Ž©·h‘ª¨Ýpictures.hŽ‘@0ó­261‘ª¨·i‘Çޤ ‘ +h–ª¨«De ne‘UUÂPictureŽ‘,F·«functions‘@­219“·iŽŽŽŒ‹Eû; Šn ý‘ì·x«261›­3DLDFPRÃŽG’“ þPUTTING–ÕXÂPICTURE“­AND“ÂLABEL“­TOGETHER˜«69Ž €n ý•@PÂ261.‘ ü«This–UUis“what's“written“to“Èpictures.h«.Ž©·h‘ª¨Ýpictures.hŽ‘@0ó­261‘ª¨·i‘Çޤ ‘ h‘ª¨ÂexternŽ‘%È~«declaration–UUof“namespace“ÂPro‘£ŽjectionsŽ‘Aa¹­212‘ª¨·iŽ¡‘ h‘ª¨ÂexternŽ‘%È~«declaration–UUof“namespace“ÂSortingŽ‘,ÿŸ­214‘ª¨·iŽ¡‘ h–ª¨«De ne‘UUclasses‘@­208“·iŽ¡‘ h›ª¨«Declarations–UUfor“the“header“ le‘@­18˜·iŽŸÂ262.› üP•®9oin“t˜(Èpoints.webÂ).Ž¡‘ -«[¬LDF‘T2002.10.20.«]Ž‘Y¤ÂP•®9oin“tŽ‘x ª«is–_¾the“most“basic“dra•¸ãw“able–_¾(not“ llable!)–‘tš¸ãypGe.“All–_¾of“the“other“ÂShapQÇesŽ‘*4Å«con˜tainŽ¡ÂP•®9oin“tsŽ‘%r«and–Üîare“ultimately“de ned“b¸ãy“their“ÂP•®9oin“tsŽ‘)Ý`«and“the“relationships“among“them.‘ “It“is“thereforeŽ¡understandable–yythat“Èpoints.web“«is“b¸ãy“far“the“largest“of“the“source“ les“of“3DLDF‘ypand“that“ÂP•®9oin“tŽ‘":«has“theŽ¡most–]ÿfunctions“of“anš¸ãy“class“in“3DLDF.“Man˜y“of“the“functions“in“the“other“classes“do“little“more“than“applyŽ¡the‘UUÂP•®9oin“tŽ‘"Dò«v¸ãersion–UUof“the“function“to“their“ÂP•®9oin“tsŽ‘#xÙ«.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.11.12.«]Ž‘ZCáRemo•¸ãv“ed–ûthe“vš¸ãersion“con˜trol“iden˜ti ers“from“the“CWEB‘© les“for“the“distribution“ofŽ¡3DLDF–UU1.1.‘qÇThey're“still“used“in“mš¸ãy“dev˜elopmen˜t“v˜ersions.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h‘ª¨«V‘ÿ*ªersion–UUconš¸ãtrol“iden˜ti er‘@­10‘ª¨·i‘Ç«+·ŽŸÂ263.‘ üInclude‘ÕT les.ަ·h–ª¨«Include‘UU les‘@­11“·i‘Ç«+·Ž¡«#ÂincludeŽ‘'Ø~Ý"loader.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"pspglb.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"io.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"colors.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"transfor.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"shapes.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"pictures.h"ŽŽŸÂ264.› üP•®9oin“t–ÕTclass“de nition.˜«[¬LDF‘T2002.10.20.«]ŽŽ¡·Ž‘ +«[¬LDF‘T2002.10.20.«]Ž‘Y¤ÂP•®9oin“tŽ‘x ª«is–_¾the“most“basic“dra•¸ãw“able–_¾(not“ llable!)–‘tš¸ãypGe.“All–_¾of“the“other“ÂShapQÇesŽ‘*4Å«con˜tainŽ¡ÂP•®9oin“tsŽ‘%r«and–Üîare“ultimately“de ned“b¸ãy“their“ÂP•®9oin“tsŽ‘)Ý`«and“the“relationships“among“them.‘ “It“is“thereforeŽ¡understandable–yythat“Èpoints.web“«is“b¸ãy“far“the“largest“of“the“source“ 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les.ަ·h–ª¨«Include‘UU les‘@­11“·i‘Ç«+·Ž¡«#ÂincludeŽ‘'Ø~Ý"loader.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"pspglb.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"io.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"colors.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"transfor.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"shapes.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"pictures.h"ŽŽŸÂ264.› üP•®9oin“t–ÕTclass“de nition.˜«[¬LDF‘T2002.10.20.«]ŽŽ¡·Ž‘ Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘ZiT«con¸ãtains–UUthe“cošGordinates“of“the“ÂP•®9oin“tŽ‘"Dò«in“the“global“co˜ordinate“system.Ž¡·Ž‘ Ïuser‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘U w«and‘UUÏview‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘OY«are–UUnot“curren¸ãtly“used.Ž¡·Ž‘ Ïuser‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘T»<«is–inš¸ãtended“for“use“with“a“user-de ned“coGordinate“system.‘W F‘ÿ*ªor“example,‘&it“ma˜y“bGe“con˜v˜e-Ž¡‘ @@ -986,34 +1015,34 @@ the‘m‚ÂP•®9oin“tŽ‘"uL«or–m‚the“ÂShapQÇeŽ‘%Ç«or“ÂLabQÇelŽ‘#g«conš¸ãtaining“it“is“output,‘sor“when“a“function“(suc˜h“as“Ïget‘‰ffŽ‘®xŽ‘ûé«(‘ª®))“requiresŽ¡‘ up-to-date–UUcoGordinate“v‘ÿqÇalues.Ž¡·Ž‘ 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do˜es“not“actually“remo•¸ãv“e–X a“ÂP•®9oin“tŽ‘"JZ«(or“an¸ãy“other“ÂShapQÇeŽ‘"D«)“from“a“ÂPictureŽ‘(ô«,‘X¶soŽŽŽŒ‹Eñ  Šn ý‘ì·x«264›­3DLDFPRÃŽG’ì~éÂPOINT–ÕX­CLASS“DEFINITION˜«69Ž €n ý•@P‘ -a›]Æw•¸ãa“y˜of˜suppressing˜output˜is˜needed.‘‹Ho“w“ev“er,‘_ãit˜m“ust˜b•Ge˜p“ossible˜to˜enable˜output˜again,‘_ãb“ecause˜theޤ ‘ +as–X describšGed“ab˜o•¸ãv“e.‘yäCulling–X do˜es“not“actually“remo•¸ãv“e–X a“ÂP•®9oin“tŽ‘"JZ«(or“an¸ãy“other“ÂShapQÇeŽ‘"D«)“from“a“ÂPictureŽ‘(ô«,‘X¶soŽ¡‘ +a›]Æw•¸ãa“y˜of˜suppressing˜output˜is˜needed.‘‹Ho“w“ev“er,‘_ãit˜m“ust˜b•Ge˜p“ossible˜to˜enable˜output˜again,‘_ãb“ecause˜theŽ¡‘ ÂPictureŽ‘2ñc«maš¸ãy–UUbGe“output“again“using“a“di eren˜t“ÂF‘ÿ «oQÇcusŽ‘#Ÿö«and/or“di eren˜t“v‘ÿqÇalues“for“the“bGoundaries.Ž¡·Ž‘ Ïme–ÿ}'asur“ement‘‰ffŽ‘®unitsŽ‘`G#«is–ðNa“ÂstringŽ‘#°”«that“is“attacš¸ãhed“to“the“n˜umerical“v‘ÿqÇalues“of“the“Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®c“o“or“dinatesŽ‘d–¯«whenŽ¡‘ 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[¬LDF‘T2003.05.06.«]Ž‘YDÛChanged‘‘õÝWORLD_VALUEŽ‘=Ø<«,‘¡ÝPROJ_VALUEŽ–8§h«,‘¡ÝUSER_VALUEŽ“«,‘¡and‘‘õÝVIEW_VALUEŽ‘<*4«to‘‘õÝWORLD_VALUESŽ‘C9«,Ž¡ÝPROJ_VALUESŽ‘:FG«,‘UUÝUSER_VALUESŽ›=›œ«,–UUand“ÝVIEW_VALUESŽ˜«.‘qÇAdded“ÝWORLD_VALUES_X_YŽ‘WÛ«,“ÝPROJ_VALUES_X_YŽ‘R›«,Ž¡ÝUSER_VALUES_X_YŽ‘OF;«,–UUand“ÝVIEW_VALUES_X_YŽ‘Uðå«for“suppressing“the“z-coGordinate.Ž¡‘ -[¬LDF‘T2003.05.20.«]Ž‘Y;Added‘UUÝWORLD_VALUES_ZŽ‘M[“«.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡‘ -formatŽ‘3c(ÏPointŽ‘UøShap‘ÿ}'eŽŽ¡·h–ª¨«De ne‘UUÂclassŽ‘5¦P•®9oin“tŽ‘>ò­264“·i‘Çޤ ‘ +[¬LDF‘T2003.05.20.«]Ž‘Y;Added‘UUÝWORLD_VALUES_ZŽ‘M[“«.ŽŸŸüÈ„`ÕÁGŽŽ¤ó‘ +ÂformatŽ‘3c(ÏPointŽ‘UøShap‘ÿ}'eŽŽ¡·h–ª¨«De ne‘UUÂclassŽ‘5¦P•®9oin“tŽ‘>ò­264“·i‘Çޤ ‘ ÂclassŽ‘$àRP•®9oin“tŽ‘CÏï«:‘qÇÂprotectedŽ‘86´ShapQÇeŽ‘Zx·fŽ¡‘ÂfriendŽ‘5f¼T‘ÿ «ransformŽ‘m/ŽT‘ÿ «ransformŽ’¢£«::Ž’©1MÏalign‘‰ffŽ–®with‘‰ffŽ“axisŽ’éãÅ«(ÂP•®9oin“tŽ‘šH±;‘ª¨ÂP•®9oin“tŽ‘Dð±;‘ª¨Âc®9harŽ‘¿œ«);Ž¡‘ Âpriv‘ÿ\rateŽ‘-¨«:‘ÂT‘ÿ 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nition“of“Âb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘:«(Âv®9oidŽ‘¨ƒ«).˜Previously‘ÿ*ª,‘ §±bŽ‘0«and“ÏptŽŽ¡«wš¸ãere–Zònot“set,‘œXso“their“v‘ÿqÇalues“w˜ere“unpredictable.‘‚I‘Z®had“to“remo˜v˜e“the“de nition“from“the“declaration“ofŽ¡Âb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘5RF«,–UUbGecause“ÝINVALID_POINTŽ‘Kpë«isn't“de ned,“when“the“declaration“is“read“b¸ãy“the“compiler.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«De ne‘UUÂb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘;üð«functions‘@­269“·i‘Çޤ ‘ Âb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘@RK«::‘Âb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘6RJ«(‘ª®)Ž¡‘ ·fŽ¡‘±bޑī=‘ÇÏfalseŽ‘v\«;Ž¡‘ÏptŽ‘ «·«=‘ÇÝINVALID_POINTŽ‘GY«;Ž¡‘ ·gޤ ­This–ÕXcoœí;‘ª¨Âb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘:RC±cŽ‘>¦;‘ª¨Âb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘:RC±dŽ‘?†µ«)Ž¡‘:‘qÇÏ rstŽ‘'q«(±aŽ‘I0«)±;‘ÿýÏse–ÿ}'c“ondŽ‘"§Ä«(±bŽ‘Jª«)±;‘ÿýÏthir‘ÿ}'dŽ‘Üg«(±cŽ‘SÛ«)±;‘ÿýÏfourthŽ‘ xö«(±dŽ‘4r«)‘UU·f‘ª¨gަ‘Âv®9oidŽ‘,ýÚopQÇeratorŽ‘X”«=Ž‘`[­(ÂconstŽ‘*¢b•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜quadrupleŽ’ŽM«&Ž’•ØkÏar‘ÿ}'gŽ’¤¨e«)Ž¡‘·fŽ¡‘Ï rstŽ‘0µ­±:bŽ‘«=‘ÇÏar‘ÿ}'gŽ‘—±:Ï rstŽ‘µª±:bŽ‘Jª«;Ž¡‘Ï rstŽ‘0µ­±:ÏptŽ‘ 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üDefault–ÕTConstructor“for“b•QÇo“ol‘°¡‰ffs4Ž›#Õp“oin®9t‘°¡‰ffs4Ž˜quadruple.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¤ ‘ +«LDF‘ê—2003.06.1.›NO–ÏrrŽ‘HTç±;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒÏpptŽ‘U«)Ž¡‘:‘qDZbŽ‘¼q«(ÏbbŽ‘ W «)±;‘ÿýrŽ‘ Ê«(ÏrrŽ‘ Q«)±;‘ÿýÏptŽ‘äš«(ÏpptŽ‘ «)–UU·f‘ª¨g‘±=·‘ÿý«Construcor“with“Âb•QÇo“olŽ‘¡f«,“ÂrealŽ‘³.«,“and“ÂP•®9oin“tŽ‘"Dò«argumen¸ãts.‘o·±=ަ‘Âv®9oidŽ‘,ýÚopQÇeratorŽ‘X”«=Ž‘`[­(ÂconstŽ‘*¢b•QÇo“olu½‰™šs4Ž–Ôwrealu½‰™šs4Ž“pQÇoin®9tŽ‘nqX«&Ž‘v8vÏbrpŽ’…Jd«)‘±=·‘ÿý«Assignmen¸ãt‘UUopGerator.‘o·±=Ž¡‘·fŽ¡‘±bŽ‘%Å«=‘ÇÏbrpŽ‘Ù±:bŽ‘Jª«;Ž¡‘±rŽ‘%‘/«=‘ÇÏbrpŽ‘Ù±:rŽ‘Ê«;Ž¡‘ÏptŽ‘*«¸«=‘ÇÏbrpŽ‘Ù±:ÏptŽ‘ ä«;Ž¡‘·gŽ¡‘ -g«;ŽŽŽŒ‹J6¬ Šn ý‘ì«74‘­DEF‘ÿ8A•ÃŽUL‘ÿJªT›ÕXCONSTR“UCTOR˜F“OR˜ÂBOOL‘°¡‰ffs4Ž–#ÕREAL‘°¡‰ffs4Ž“POINT‘s,~­3DLDFPRÃŽG‘·x«273Ž €n ý•@PÂ273.‘ üDefault–ÕTConstructor“for“b•QÇo“ol‘°¡‰ffs4Ž–#Õreal‘°¡‰ffs4Ž“pQÇoin®9t.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ -«LDF‘82003.06.1.›h Added–8!this“section.˜Rede ned“the“default“constructor“Âb•QÇo“olu½‰™šs4Ž–Ôwrealu½‰™šs4Ž“pQÇoin®9tŽ‘P)‚«(Âv®9oidŽ‘¨ƒ«),‘=ùso“that“±bŽŽ¡«is–|êset“to“ÏfalseŽ‘,.«,‘†Ð±rŽ‘ ÍΫis“set“to“ÝINVALID_REALŽ‘C.«,›†Ðand“ÏptŽ‘Þq«is“set“to“ÝINVALID_BOOL_POINTŽ‘bƒ«.‘è‡In“order“to“do“this,˜it“w¸ãasŽ¡necessary–Ígto“remo•¸ãv“e–Ígthe“de nition“from“the“declaration“of“Âb•QÇo“olu½‰™šs4Ž–Ôwrealu½‰™šs4Ž“pQÇoin®9tŽ‘O¾È«,‘è—bGecause“when“the“compiler“seesŽ¡it,‘UUÝINVALID_REALŽ‘F0î«and‘UUÝINVALID_POINTŽ‘Kpë«aren't–UUde ned“y¸ãet.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«De ne‘UUÂb•QÇo“olu½‰™šs4Ž–Ôwrealu½‰™šs4Ž“pQÇoin®9tŽ‘Sœ «functions‘@­273“·i‘Çޤ ‘ +g«;ŽŽŽŒ‹KD; Šn ý‘ì·x«273‘­3DLDFPR•ÃŽG‘s,~DEF‘ÿ8A“UL‘ÿJªT›ÕXCONSTR“UCTOR˜F“OR˜ÂBOOL‘°¡‰ffs4Ž–#ÕREAL‘°¡‰ffs4Ž“POINT‘«75Ž €n ý•@PÂ273.‘ üDefault–ÕTConstructor“for“b•QÇo“ol‘°¡‰ffs4Ž–#Õreal‘°¡‰ffs4Ž“pQÇoin®9t.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¤ ‘ +«LDF‘82003.06.1.›h Added–8!this“section.˜Rede ned“the“default“constructor“Âb•QÇo“olu½‰™šs4Ž–Ôwrealu½‰™šs4Ž“pQÇoin®9tŽ‘P)‚«(Âv®9oidŽ‘¨ƒ«),‘=ùso“that“±bŽŽ¡«is–|êset“to“ÏfalseŽ‘,.«,‘†Ð±rŽ‘ ÍΫis“set“to“ÝINVALID_REALŽ‘C.«,›†Ðand“ÏptŽ‘Þq«is“set“to“ÝINVALID_BOOL_POINTŽ‘bƒ«.‘è‡In“order“to“do“this,˜it“w¸ãasŽ¡necessary–Ígto“remo•¸ãv“e–Ígthe“de nition“from“the“declaration“of“Âb•QÇo“olu½‰™šs4Ž–Ôwrealu½‰™šs4Ž“pQÇoin®9tŽ‘O¾È«,‘è—bGecause“when“the“compiler“seesŽ¡it,‘UUÝINVALID_REALŽ‘F0î«and‘UUÝINVALID_POINTŽ‘Kpë«aren't–UUde ned“y¸ãet.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«De ne‘UUÂb•QÇo“olu½‰™šs4Ž–Ôwrealu½‰™šs4Ž“pQÇoin®9tŽ‘Sœ «functions‘@­273“·i‘Çޤ ‘ Âb•QÇo“olu½‰™šs4Ž–Ôwrealu½‰™šs4Ž“pQÇoin®9tŽ‘Wñf«::‘Âb•QÇo“olu½‰™šs4Ž–Ôwrealu½‰™šs4Ž“pQÇoin®9tŽ‘Mñe«(‘ª®)Ž¡‘ :‘qDZbŽ‘¼q«(ÏfalseŽ‘¯D«)±;‘ÿýrŽ‘ Ê«(ÝINVALID_REALŽ‘?†D«)±;‘ÿýÏptŽ‘äš«(ÝINVALID_POINTŽ‘DÆA«)‘UU·f‘ª¨gŽŸ ­This–ÕXco‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.4.3.«]Ž‘NôñNo¸ãw–‚setting“Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘O–«[3Ž–],‘¬JÏuser‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Jbk«[3Ž“],‘¬Jand‘‚Ïview‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘JÛ¶«[3Ž“]–Ç=“1Ž‘Ç.‘+XIt‘‚ xesŽ¡a–UUbug“that“sho•¸ãw“ed–UUup“when“I“tried“to“shift“a“ÂP•®9oin“tŽ‘"Dò«with“coGordinates“·‘Ç«0.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h›ª¨«Initialize–UUcoGordinates“and“limits‘@­278˜·i‘Çޤ «#ÂifdefŽ‘áeÝ__DECCXXŽŽ¡‘ +ÂexternŽ‘.×constŽ‘LHyb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜quadrupleŽ’¼/$ÝINVALID_BOOL_POINT_QUADRUPLEŽ’Oµ8«;ަÂ276.‘ üConstructors–ÕTand“setting“functions.ŽŽŽŒ‹LRu Šn ý‘ì«76‘­CONSTRšÃŽUCTORS–ÕXAND“SETTING“FUNCTIONS’©žÓ3DLDFPR˜G‘·x«277Ž €n ý•@PÂ277.‘ ü«The‘QÂv‘ÿ\ralarra®9ysŽ‘3ù;«I‘Cuse–Qfor“the“v‘ÿqÇarious“sets“of“cošGordinates“can“b˜e“declared“in“the“ÂclassŽ‘Éž«declaration,‘*butޤ neither–kcan“their“size“bšGe“set“nor“can“they“b˜e“initialized.‘ð Ïnul‘‚Øl‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘N|Y«is“de ned“in“Èpspglb.web“«and“is“aŽ¡Âv‘ÿ\ralarra®9yŽ‘,™‹«of‘?JÂrealsŽ‘e©«with–?J4“elemen¸ãts“=‘Ç0.›jnSetting“Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘PSH«,‘C³etc.˜to“Ïnul‘‚Øl‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘L‹y«mak¸ães“them“theŽ¡righ¸ãt‘UUsize.Ž©Â278.‘ üInitialize–ÕTcoQÇordinates“and“limits.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.4.3.«]Ž‘NôñNo¸ãw–‚setting“Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘O–«[3Ž–],‘¬JÏuser‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Jbk«[3Ž“],‘¬Jand‘‚Ïview‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘JÛ¶«[3Ž“]–Ç=“1Ž‘Ç.‘+XIt‘‚ xesŽ¡a–UUbug“that“sho•¸ãw“ed–UUup“when“I“tried“to“shift“a“ÂP•®9oin“tŽ‘"Dò«with“coGordinates“·‘Ç«0.ޤŸüÈ„`ÕÁGŽŽ¡·h›ª¨«Initialize–UUcoGordinates“and“limits‘@­278˜·i‘Çޤ «#ÂifdefŽ‘áeÝ__DECCXXŽŽ¡‘ Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘YÛ«=‘ÇÏnul‘‚Øl‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘HÓý«;Ž¡‘ Ïuser‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘T}:«=‘ÇÏnul‘‚Øl‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘HÓý«;Ž¡‘ Ïview‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘U È«=‘ÇÏnul‘‚Øl‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘HÓý«;Ž¡‘ @@ -1083,63 +1112,63 @@ Ïuser‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Q¶"«[3Ž‘]–Ç=“1Ž‘Ç;Ž¡‘ Ïview‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘RY°«[3Ž‘]–Ç=“1Ž‘Ç;Ž¡‘ Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘^R±:Ïr‘ÿ}'esizeŽ‘i«(6Ž‘±;‘ª¨«0Ž‘ª©);ŽŸ ­This–ÕXco‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ -«[¬LDF‘T2002.12.01.«]Ž‘Y;Made–UUargumen¸ãts“ÂconstŽ‘*¢«.ŽŸŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«constructors‘@­279“·i‘Ç«+·Ž¡‘ -ÂP•®9oin“tŽ‘%šI«(ÂconstŽ‘*¢realŽ‘4ÝбxŽ‘:”ì;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±yŽ‘>’ˆ«=‘ÇÝCURR_YŽ–"Ín±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±zŽ‘>f®«=‘ÇÝCURR_ZŽ“«);ŽŸüèÂ283.ަ·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«constructors‘@­280“·i‘Ç«+·Ž¡‘ +·gޤ ÿü­See–ÕXalso“sections“283“and“287.Ž¡This–ÕXco’ˆ«=‘ÇÝCURR_YŽ–"Ín±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±zŽ‘>f®«=‘ÇÝCURR_ZŽ“«);ŽŸÿõÂ283.ަ·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«constructors‘@­280“·i‘Ç«+·Ž¡‘ ÂP•®9oin“tŽ‘&šM«::‘ÂP•®9oin“tŽ‘šL«(ÂconstŽ‘*¢realŽ‘4ÝбxŽ‘:”ì;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±yŽ‘;Ëp;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±zŽ‘;Ÿ–«)Ž¡‘ ·fŽ¡‘h›ª¨«Initialize–UUcoGordinates“and“limits‘@­278˜·iŽ¡‘Ïon‘‰ffŽ›®fr–ÿ}'e“e‘‰ffŽ˜stor“eŽ‘Nl «=‘ÇÏfalseŽ‘v\«;Ž¡‘Ïdo‘‰ffŽ‘®outputŽ‘A½M«=‘ÇÏtrueŽ‘‹°«;Ž¡#ÂifŽ‘ hÍ«0Ž‘$hϱ=·‘³Ò«[¬LDF‘T2002.10.23.«]Ž‘SoáÏuser‘‰ffŽ‘®tr‘ÿ}'ansformŽ’˜ «is– *not“currenš¸ãtly“in“use.‘XdIt“is“in˜tended“for“use“in“implemen˜tingŽ¡‘(user-de ned–UUcoGordinate“systems.‘o·±=Ž¡‘ÂifŽ‘´ú«(Ïuser‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘A¦ü±:Ïis‘‰ffŽ‘®identityŽ‘-2¢«(‘ª¨))Ž¡#ÂendifŽŽ¡‘Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘k«[0Ž‘]–Ç=“±xŽ‘~4«;Ž¡‘Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘a«[1Ž‘]–Ç=“±yŽ‘ «;Ž¡‘Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘a«[2Ž‘]–Ç=“±zŽ‘Þ6«;Ž¡‘Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘a«[3Ž‘]–Ç=“1Ž‘Ç;Ž¡‘ -·gŽŸüèÂ284.‘ üSetting‘ÕTfunction.ŽŸÓEŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +·gŽŸÿõÂ284.‘ üSetting‘ÕTfunction.ŽŸ¿øŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.12.01.«]Ž‘Y;Made–UUargumen¸ãts“ÂconstŽ‘*¢«.Ž¡‘ -[¬LDF‘T2003.03.25.«]Ž‘Y$½Changed–q×this“function,‘xøso“that“it“returns“·Ž‘qØÏthisŽ‘Ïe«instead“of“Âv®9oidŽ‘Z«.‘ÇNThis“mak¸ães“it“pGossibleŽ¡to–UUcš¸ãhain“in˜v˜oGcations“of“this“function.ŽŸŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘ÇŽ¡‘ -ÂconstŽ‘(*£P•®9oin“tŽ‘G@«&Ž‘Ná^ÏsetŽ‘\Yâ«(ÂconstŽ‘*¢realŽ‘4ÝбxŽ‘:”ì;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±yŽ‘>’ˆ«=‘ÇÝCURR_YŽ–"Ín±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±zŽ‘>f®«=‘ÇÝCURR_ZŽ“«);Ž© þø­See–´?also“sections“288,–ºÝ291,“293,“295,“297,“299,“301,“302,“304,“307,“308,“309,“312,“314,“317,“319,“322,“324,“327,“329,“332,“334,“337,ޤ -‘339,–áú341,“342,“344,“345,“349,“352,“354,“356,“357,“360,“362,“364,“368,“370,“375,“377,“392,“394,“398,“402,“404,“406,“410,“412,Ž¡‘414,–áú416,“419,“420,“422,“423,“425,“426,“428,“429,“431,“433,“438,“440,“442,“444,“445,“447,“449,“451,“457,“461,“463,“466,“468,Ž¡‘474,–ÕX477,“479,“481,“483,“485,“488,“492,“494,“496,“498,“500,“502,“504,“507,“509,“513,“516,“523,“525,“528,“and“529.ަThis–ÕXco’ˆ«=‘ÇÝCURR_YŽ–"Ín±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±zŽ‘>f®«=‘ÇÝCURR_ZŽ“«);Ž© ÿü­See–´?also“sections“288,–ºÝ291,“293,“295,“297,“299,“301,“302,“304,“307,“308,“309,“312,“314,“317,“319,“322,“324,“327,“329,“332,“334,“337,ޤ +‘339,–áú341,“342,“344,“345,“349,“352,“354,“356,“357,“360,“362,“364,“368,“370,“375,“377,“392,“394,“398,“402,“404,“406,“410,“412,Ž¡‘414,–áú416,“419,“420,“422,“423,“425,“426,“428,“429,“431,“433,“438,“440,“442,“444,“445,“447,“449,“451,“457,“461,“463,“466,“468,Ž¡‘474,–ÕX477,“479,“481,“483,“485,“488,“492,“494,“496,“498,“500,“502,“504,“507,“509,“511,“513,“516,“523,“525,“528,“and“529.ަThis–ÕXco‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.10.23.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ -Âv®9oidŽ‘"ýÙÏsetŽ‘0v]«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«);ŽŽŽŒ‹Nl  Šn ý‘ì«78–­SETTING‘ÕXFUNCTION’u?3DLDFPRÃŽG“·x«289Ž €n ý•@PÂ289.ŽŸ·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ +·gŽŸÂ288.– üSetting‘×Ûfunction.“«[¬LDF‘T2002.10.23.«]Ž‘[iThis–6$function“is“unnecessary‘ÿ*ª,‘nWbšGecause“it“do˜es“nothing“thatŽ¡the–àêassignmenš¸ãt“opGerator“can't“do.‘JùHo˜w˜ev˜er,‘ø3I'v˜e“tried“to“use“ÏsetŽ‘Yn«(‘ª®)“a“couple“of“times“with“a“ÂP•®9oin“tŽ‘!\«argumen˜t,Ž¡so–UUit's“con•¸ãv“enien“t–UUto“ha•¸ãv“e–UUit.‘qÇIf“nothing“else,“it“prev•¸ãen“ts–UUcompilation“from“failing“oGccasionally‘ÿ*ª.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.10.23.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ +Âv®9oidŽ‘"ýÙÏsetŽ‘0v]«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«);ŽŽŽŒ‹OxÉ Šn ý‘ì·x«289–­3DLDFPRÃŽG’u?SETTING‘ÕXFUNCTION“«79Ž €n ý•@PÂ289.ŽŸ·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙP•®9oin“tŽ‘?˜%«::‘ÏsetŽ‘xˆ«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«)Ž¡‘ ·fŽ¡‘Ž‘ÏthisŽ‘,²Ñ«=‘DZpŽ‘Ï«;Ž¡‘Ïdo‘‰ffŽ‘®outputŽ‘A½M«=‘ÇÏtrueŽ‘‹°«;Ž¡‘ ·gŽ©Â290.› üPseudo-constructor–A‡for“dynamic“alloQÇcation.˜Ïcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“p‘ÿ}'ointŽ‘TUø«(‘ª®)–³kis“mean¸ãt“to“bGe“used“insteadŽ¡of‘TÙÂnewŽ‘\á«(‘ª®)–TÙfor“dynamic“alloGcation“of“ÂP•®9oin“tsŽ‘#x]«.‘qžIt“calls“the“default“constructor“(without“argumen¸ãts)“and“thenŽ¡sets‘UUÏon‘‰ffŽ›®fr–ÿ}'e“e‘‰ffŽ˜stor“eŽ‘>Oœ«to‘UUÏtrueŽ‘í«.Ž¡‘ -[¬LDF‘T2002.10.11.«]Ž‘X•3It–âMis“used“in“v‘ÿqÇarious“ÂP•®9oin“tŽ‘!^â«functions,‘ùOand“in“ÂP®9athŽ‘Uþ«and“some“classes“deriv¸ãed“from“ÂP®9athŽ‘s±«,Ž¡currenš¸ãtly‘N¡ÂEllipseŽ‘$7z«,‘ƒ,ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘Dà«,‘ƒ,and‘N¡ÂRectangleŽ‘4Ž6«.‘6It–N¡is“in˜tended“that“ob‘Ž8jects“of“these“t˜ypšGes“b˜e“declared,‘ƒ,i.e.,Ž¡unlikš¸ãe‘—ÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘kû/«,‘ñthey–—are“not“mean˜t“to“bGe“used“only“as“base“classes.‘VˆÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽŽ¡«doGes–UUnot“use“Ïcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“p‘ÿ}'ointŽ‘L+Q«(‘ª®)“and“it“is“unlik¸ãely“that“other“classes“of“this“kind“will“use“it.ަÂ291.‘ 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·fŽ¡‘Ïtr‘ÿ}'ansformŽ‘Bz[«=‘DZpŽ‘Ï:Ïtr‘ÿ}'ansformŽ‘+³A«;Ž¡‘Ïdr‘ÿ}'awdot‘‰ffŽ‘®valueŽ‘Tã«=‘DZpŽ‘Ï:Ïdr‘ÿ}'awdot‘‰ffŽ‘®valueŽ‘=JÉ«;Ž¡‘Ïdr–ÿ}'awdot‘‰ffŽ‘®c“olorŽ‘S>®«=‘DZpŽ‘Ï:Ïdr–ÿ}'awdot‘‰ffŽ‘®c“olorŽ‘‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.10.27.«]Ž‘Y;ÔRede ned–ˆîthis“function.‘ ‘F–ÿ*ªormerly“,‘•Ôit–ˆîwš¸ãas“inline“and“empt˜y‘ÿ*ª.‘ ‘No˜w“it“sets“all“of“the“x,‘•Ôy‘ÿ*ª,Ž¡and–y¯z“cošGordinates“to“0,‘¥and“resets“Ïtr‘ÿ}'ansformŽ‘.,ð«.‘(It“do˜esn't“seem“w•¸ãorth“while–y¯to“set“Ïdr‘ÿ}'awdot‘‰ffŽ‘®valueŽ‘?Äx«,‘¥Ïdr–ÿ}'awdot‘‰ffŽ‘®c“olorŽ‘?1«,Ž¡or‘UUÏp‘ÿ}'enŽ‘Ä]«to–UUan¸ãy“particular“v‘ÿqÇalues.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ -Âv®9oidŽ‘"ýÙÏcle‘ÿ}'arŽ‘9&²«(‘ª®);ŽŽŽŒ‹QŽd Šn ý‘ì·x«303–­3DLDFPRÃŽG’IêqCLEAR“«81Ž €n ý•@PÂ303.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ +·gŽŸÂ302.– üClear.“«I–UUneed“this“function“bGecause“it's“a“ÂvirtualŽ‘(ã(«function“in“ÂShapQÇeŽ‘"Ab«.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ 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·gŽŸÂ304.‘ üClean.ަ·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ @@ -1156,7 +1185,7 @@ ·fŽ¡‘ÂreturnŽ‘7æ¼±:«00001ŽŽ‘S­Þ;Ž¡‘ ·gŽŸÂ309.– üGet‘8ÍLine.“«De ned–Í8in“Èlines.web«.‘DhMust“bšGe“de ned“there,‘èqb˜ecause“ÂLineŽ‘òó«is“an“incomplete“t¸ãyp˜e“here.Ž¡‘ [¬LDF‘T2002.04.12.«]Ž‘Y;Remo•¸ãv“ed–UUthis“function“to“Èlines.web«.ަ·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ -ÂLineŽ‘#­ÙÏget‘‰ffŽ‘®lineŽ‘Düñ«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]ÏptŽ‘NÅú«)‘UUÂconstŽ‘*¢«;ŽŸÂ310.– üGetting‘ÕTcoQÇordinates.“«??‘qÇChange‘UUÏget‘‰ffŽ‘®xŽ‘㼫(‘ª®),–UUetc.,“bac¸ãk“to“ÂinlineŽ‘ŠH«??ŽŽŽŒ‹R™þ Šn ý‘ì«82›­GET–ÕXALL“COORDINA‘ÿJªTES’þ±¡3DLDFPRÃŽG˜·x«311Ž €n ý•@PÂ311.› üGet– úall“coQÇordinates.˜«[¬LDF‘T2002.09.19.«]Ž‘[9LAdded–kthis“function.–… ??“[¬LDF‘T2002.12.01.«]Ž‘V>YCan‘kI‘=mak¸ãeޤ the‘9ÂF‘ÿ +ÂLineŽ‘#­ÙÏget‘‰ffŽ‘®lineŽ‘Düñ«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]ÏptŽ‘NÅú«)‘UUÂconstŽ‘*¢«;ŽŸÂ310.– 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w“coGordinate.ŽŸ·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ +·gŽŽŽŒ‹T¯é Šn ý‘ì«84–­GET‘ÕXCOORD’2=33DLDFPRÃŽG“·x«316Ž €n ý•@PÂ316.– üGet‘…ïcoQÇord.“«[¬LDF‘T2002.09.14.«]Ž‘[!ÈAdded‘îçÏget‘‰ffŽ‘®c–ÿ}'o“or“dŽ‘,K׫(‘ª®).‘>}Fixing–îça“bug“that“caused“Ïget‘‰ffŽ‘®xŽ‘}N«(Ý'p'Ž‘F_«),–Letc.,“toޤ call‘UUÏpr–ÿ}'oje“ctŽ‘!Ìc«(›ª®)–UUm¸ãultiple“times“when“doing“ÂP®9athŽ‘潫::‘ÏoutputŽ‘D«(˜).Ž©Â317.– üNon-const‘Mv®9ersion.“«[¬LDF‘T2002.10.27.«]Ž‘YéíThe–· argumen¸ãt“±cŽ‘ Áó«refers“to“either“the“x,–Ö´y‘ÿ*ª,“z,“or–· w“coGordinate.ŽŸ·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ ÂrealŽ‘!ëxÏget‘‰ffŽ‘®c–ÿ}'o“or“dŽ‘JHh«(Âc®9harŽ‘¢’±cŽ‘öm;‘ª¨Âc®9harŽ‘M:Ïc–ÿ}'o“or“dsŽ‘=&U«=‘ÏÝ'w'Ž‘î±;‘ª¨ÂconstŽ‘! “b•QÇo“olŽ‘;çBÏdo‘‰ffŽ‘®p‘ÿ}'erspŽ‘f` «=‘ÏÏtrueŽ‘”'±;‘ª¨ÂconstŽ‘! “b•QÇo“olŽŽ¡‘Ïdo‘‰ffŽ‘®applyŽ‘GÈJ«=‘½rÏtrueŽ‘‚ ±;‘ª¨ÂF‘ÿ «oQÇcusŽ‘"‰·Ž‘'‰±fŽ‘1?r«=‘½r0Ž‘½s±;‘ª¨ÂconstŽ‘ iunsignedŽ‘Q3øshortŽ‘o’kÏpr‘ÿ}'ojŽ’†C «=‘½rÂPro‘£ŽjectionsŽ‘>‰Ö«::Ž‘EÝPERSPŽ‘_Þm±;‘ª¨ÂrealŽŽ¡‘ÏfactorŽ‘;Êù«=‘Ç1Ž‘Ç);ަÂ318.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·Ž¡‘ @@ -1187,7 +1216,7 @@ gŽŸÂ319.‘ üconst‘ÕTv®9ersion.ަ·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ ÂrealŽ‘!ëxÏget‘‰ffŽ‘®c–ÿ}'o“or“dŽ‘JHh«(Âc®9harŽ‘¢’±cŽ‘öm;‘ª¨Âc®9harŽ‘M:Ïc–ÿ}'o“or“dsŽ‘=&U«=‘ÏÝ'w'Ž‘î±;‘ª¨ÂconstŽ‘! “b•QÇo“olŽ‘;çBÏdo‘‰ffŽ‘®p‘ÿ}'erspŽ‘f` «=‘ÏÏtrueŽ‘”'±;‘ª¨ÂconstŽ‘! “b•QÇo“olŽŽ¡‘Ïdo‘‰ffŽ‘®applyŽ‘GÈJ«=‘½rÏtrueŽ‘‚ ±;‘ª¨ÂF‘ÿ -«oQÇcusŽ‘"‰·Ž‘'‰±fŽ‘1?r«=‘½r0Ž‘½s±;‘ª¨ÂconstŽ‘ iunsignedŽ‘Q3øshortŽ‘o’kÏpr‘ÿ}'ojŽ’†C «=‘½rÂPro‘£ŽjectionsŽ‘>‰Ö«::Ž‘EÝPERSPŽ‘_Þm±;‘ª¨ÂrealŽŽ¡‘ÏfactorŽ‘;Êù«=‘Ç1Ž‘Ç)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹T¶Ÿ Šn ý‘ì«84–ÂCONST‘ÕX­VERSION’on3DLDFPRÃŽG“·x«320Ž €n ý•@PÂ320.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ +«oQÇcusŽ‘"‰·Ž‘'‰±fŽ‘1?r«=‘½r0Ž‘½s±;‘ª¨ÂconstŽ‘ iunsignedŽ‘Q3øshortŽ‘o’kÏpr‘ÿ}'ojŽ’†C «=‘½rÂPro‘£ŽjectionsŽ‘>‰Ö«::Ž‘EÝPERSPŽ‘_Þm±;‘ª¨ÂrealŽŽ¡‘ÏfactorŽ‘;Êù«=‘Ç1Ž‘Ç)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹UÂ_ Šn ý‘ì·x«320–­3DLDFPRÃŽG’onÂCONST‘ÕX­VERSION“«85Ž €n ý•@PÂ320.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ ÂrealŽ‘ eaP•®9oin“tŽ‘<ÿ­«::‘Ïget‘‰ffŽ‘®c–ÿ}'o“or“dŽ‘)\ô«(Âc®9harŽ‘{±cŽ‘pV;‘ª¨Âc®9harŽ‘Ç#Ïc–ÿ}'o“or“dsŽ‘6Я±;‘ª¨ÂconstŽ‘‡|b•QÇo“olŽ‘8ÛÏdo‘‰ffŽ‘®p‘ÿ}'erspŽ‘^„L±;‘ª¨ÂconstŽ‘‡|b•QÇo“olŽ‘8ÛÏdo‘‰ffŽ‘®applyŽ‘^åé±;‘ª¨ÂF‘ÿ «oQÇcusŽ‘!§{·Ž‘&§|±fŽ‘, b;‘ª¨ÂconstŽŽ¡‘2unsignedŽ‘b7shortŽ’€¶Ïpr‘ÿ}'ojŽ’’õy±;‘ª¨ÂrealŽ‘]ÖÏfactorŽ‘3a´«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂP•®9oin“tŽ‘2pŽ‘7÷Ÿ«(·Ž‘ÏthisŽ‘ë·«);ަ‘ÂreturnŽ‘7æ¼±pŽ‘<î¼:Ïget‘‰ffŽ‘®c–ÿ}'o“or“dŽ‘(\ð«(±cŽ‘SÛ;‘ª¨Ïc–ÿ}'o“or“dsŽ‘´4±;‘ª¨Ïdo‘‰ffŽ‘®p‘ÿ}'erspŽ‘'Sà±;‘ª¨Ïdo‘‰ffŽ‘®applyŽ‘'µ}±;‘ª¨fŽ‘£Ž;‘ª¨Ïpr‘ÿ}'ojŽ‘žk±;‘ª¨ÏfactorŽ‘®†«);Ž¡‘ @@ -1206,7 +1235,7 @@ ·gޤÂ326.‘ üGet‘ÕTy‘ÿ «.Ž¡327.‘ üNon-const‘ÕTv®9ersion.ަ·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·ޤ ‘ ÂrealŽ‘!%>Ïget‘‰ffŽ‘®yŽ‘7™T«(Âc®9harŽ‘ÜXÏc–ÿ}'o“or“dsŽ‘9k«=‘…0Ý'w'Ž‘˱;‘ª¨ÂconstŽ‘ GYb•QÇo“olŽ‘:ZÎÏdo‘‰ffŽ‘®p‘ÿ}'erspŽ‘c‰6«=‘…0ÏtrueŽ–Iȱ;‘ª¨ÂconstŽ‘ GYb•QÇo“olŽ‘:ZÎÏdo‘‰ffŽ‘®applyŽ‘cêÓ«=‘…0ÏtrueŽ“±;‘ª¨ÂF‘ÿ -«oQÇcusŽŽ¡‘·Ž‘#±fŽ‘+À«=‘Ç0Ž–Ç±;‘ª¨ÂconstŽ‘ÕJunsignedŽ‘P XshortŽ‘mÖûÏpr‘ÿ}'ojŽ’ƒ‘Ö«=‘ÇÂPro‘£ŽjectionsŽ‘=“|«::Ž‘D!ºÝPERSPŽ‘^è±;‘ª¨ÂrealŽ‘]ÖÏfactorŽ‘6(Ì«=‘Ç1Ž“);ŽŽŽŒ‹UÇŒ Šn ý‘ì·x«328–­3DLDFPRÃŽG’ÿAÖNON-ÂCONST‘ÕX­VERSION“«85Ž €n ý•@PÂ328.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ +«oQÇcusŽŽ¡‘·Ž‘#±fŽ‘+À«=‘Ç0Ž–Ç±;‘ª¨ÂconstŽ‘ÕJunsignedŽ‘P XshortŽ‘mÖûÏpr‘ÿ}'ojŽ’ƒ‘Ö«=‘ÇÂPro‘£ŽjectionsŽ‘=“|«::Ž‘D!ºÝPERSPŽ‘^è±;‘ª¨ÂrealŽ‘]ÖÏfactorŽ‘6(Ì«=‘Ç1Ž“);ŽŽŽŒ‹VÓL Šn ý‘ì«86–­NON-ÂCONST‘ÕX­VERSION’ÿAÖ3DLDFPRÃŽG“·x«328Ž €n ý•@PÂ328.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ ÂrealŽ‘ ŸÕP•®9oin“tŽ‘=:!«::‘Ïget‘‰ffŽ‘®yŽ‘t«(Âc®9harŽ‘VïÏc–ÿ}'o“or“dsŽ‘5`{±;‘ª¨ÂconstŽ‘Áðb•QÇo“olŽ‘9OüÏdo‘‰ffŽ‘®p‘ÿ}'erspŽ‘^ù4±;‘ª¨ÂconstŽ‘Áðb•QÇo“olŽ‘9OüÏdo‘‰ffŽ‘®applyŽ‘_Zѱ;‘ª¨ÂF‘ÿ «oQÇcusŽ‘!áï·Ž‘&áð±fŽ‘,ÚÖ;‘ª¨ÂconstŽ‘ÁðunsignedŽŽ¡‘2shortŽ‘OʨÏpr‘ÿ}'ojŽ‘b¾k±;‘ª¨ÂrealŽ‘]ÖÏfactorŽ‘3a´«)Ž¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïget‘‰ffŽ‘®c–ÿ}'o“or“dŽ‘`C¬«(Ý'y'Ž‘F_±;‘ª¨Ïc–ÿ}'o“or“dsŽ‘´4±;‘ª¨Ïdo‘‰ffŽ‘®p‘ÿ}'erspŽ‘'Sà±;‘ª¨Ïdo‘‰ffŽ‘®applyŽ‘'µ}±;‘ª¨fŽ‘£Ž;‘ª¨Ïpr‘ÿ}'ojŽ‘žk±;‘ª¨ÏfactorŽ‘®†«);Ž¡‘ @@ -1230,7 +1259,7 @@ ÂrealŽ‘ ¦0P•®9oin“tŽ‘=@|«::‘Ïget‘‰ffŽ‘®zŽ‘«(Âc®9harŽ‘]JÏc–ÿ}'o“or“dsŽ‘5fÖ±;‘ª¨ÂconstŽ‘ÈKb•QÇo“olŽ‘9\²Ïdo‘‰ffŽ‘®p‘ÿ}'erspŽ‘_ê±;‘ª¨ÂconstŽ‘ÈKb•QÇo“olŽ‘9\²Ïdo‘‰ffŽ‘®applyŽ‘_g‡±;‘ª¨ÂF‘ÿ «oQÇcusŽ‘!èJ·Ž‘&èK±fŽ‘,á1;‘ª¨ÂconstŽ‘ÈKunsignedŽŽ¡‘2shortŽ‘OʨÏpr‘ÿ}'ojŽ‘b¾k±;‘ª¨ÂrealŽ‘]ÖÏfactorŽ‘3a´«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïget‘‰ffŽ‘®c–ÿ}'o“or“dŽ‘`C¬«(Ý'z'Ž‘F_±;‘ª¨Ïc–ÿ}'o“or“dsŽ‘´4±;‘ª¨Ïdo‘‰ffŽ‘®p‘ÿ}'erspŽ‘'Sà±;‘ª¨Ïdo‘‰ffŽ‘®applyŽ‘'µ}±;‘ª¨fŽ‘£Ž;‘ª¨Ïpr‘ÿ}'ojŽ‘žk±;‘ª¨ÏfactorŽ‘®†«);Ž¡‘ -·gŽŸÂ336.‘ üGet‘ÕTw.ŽŽŽŒ‹Vײ Šn ý‘ì«86–­NON-ÂCONST‘ÕX­VERSION’ÿAÖ3DLDFPRÃŽG“·x«337Ž €n ý•@PÂ337.‘ üNon-const‘ÕTv®9ersion.Ž©·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·ޤ ‘ +·gŽŸÂ336.‘ üGet‘ÕTw.ŽŽŽŒ‹Wãs Šn ý‘ì·x«337–­3DLDFPRÃŽG’ÿAÖNON-ÂCONST‘ÕX­VERSION“«87Ž €n ý•@PÂ337.‘ üNon-const‘ÕTv®9ersion.Ž©·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·ޤ ‘ ÂrealŽ‘!’Ïget‘‰ffŽ‘®wŽ‘9­«(Âc®9harޑլÏc–ÿ}'o“or“dsŽ‘9YI«=‘zÝ'w'Ž‘Àp±;‘ª¨ÂconstŽ‘ @­b•QÇo“olŽ‘:MvÏdo‘‰ffŽ‘®p‘ÿ}'erspŽ‘cp¿«=‘zÏtrueŽ–>©±;‘ª¨ÂconstŽ‘ @­b•QÇo“olŽ‘:MvÏdo‘‰ffŽ‘®applyŽ‘cÒ\«=‘zÏtrueŽ“±;‘ª¨ÂF‘ÿ «oQÇcusŽŽ¡‘·Ž‘#±fŽ‘+À«=‘Ç0Ž–Ç±;‘ª¨ÂconstŽ‘ÕJunsignedŽ‘P XshortŽ‘mÖûÏpr‘ÿ}'ojŽ’ƒ‘Ö«=‘ÇÂPro‘£ŽjectionsŽ‘=“|«::Ž‘D!ºÝPERSPŽ‘^è±;‘ª¨ÂrealŽ‘]ÖÏfactorŽ‘6(Ì«=‘Ç1Ž“);ŽŸÂ338.ަ·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·Ž¡‘ ÂrealŽ‘ ‚P•®9oin“tŽ‘=N«::‘Ïget‘‰ffŽ‘®wŽ‘o«(Âc®9harŽ‘9Ïc–ÿ}'o“or“dsŽ‘5B¨±;‘ª¨ÂconstŽ‘¤b•QÇo“olŽ‘9VÏdo‘‰ffŽ‘®p‘ÿ}'erspŽ‘^½Ž±;‘ª¨ÂconstŽ‘¤b•QÇo“olŽ‘9VÏdo‘‰ffŽ‘®applyŽ‘_+±;‘ª¨ÂF‘ÿ @@ -1242,33 +1271,34 @@ ÂrealŽ‘ ‚P•®9oin“tŽ‘=N«::‘Ïget‘‰ffŽ‘®wŽ‘o«(Âc®9harŽ‘9Ïc–ÿ}'o“or“dsŽ‘5B¨±;‘ª¨ÂconstŽ‘¤b•QÇo“olŽ‘9VÏdo‘‰ffŽ‘®p‘ÿ}'erspŽ‘^½Ž±;‘ª¨ÂconstŽ‘¤b•QÇo“olŽ‘9VÏdo‘‰ffŽ‘®applyŽ‘_+±;‘ª¨ÂF‘ÿ «oQÇcusŽ‘!Ä·Ž‘&ıfŽ‘,½;‘ª¨ÂconstŽ‘¤unsignedŽŽ¡‘2shortŽ‘OʨÏpr‘ÿ}'ojŽ‘b¾k±;‘ª¨ÂrealŽ‘]ÖÏfactorŽ‘3a´«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïget‘‰ffŽ‘®c–ÿ}'o“or“dŽ‘`C¬«(Ý'w'Ž‘F_±;‘ª¨Ïc–ÿ}'o“or“dsŽ‘´4±;‘ª¨Ïdo‘‰ffŽ‘®p‘ÿ}'erspŽ‘'Sà±;‘ª¨Ïdo‘‰ffŽ‘®applyŽ‘'µ}±;‘ª¨fŽ‘£Ž;‘ª¨Ïpr‘ÿ}'ojŽ‘žk±;‘ª¨ÏfactorŽ‘®†«);Ž¡‘ -·gŽŸÂ341.‘ üGet‘ÕTtransform.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.10.27.«]Ž‘Y;Made–UUthis“function“ÂconstŽ‘*¢«.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ +·gŽŸÂ341.‘ üGet‘ÕTtransform.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.10.27.«]Ž‘Y;Made–UUthis“function“ÂconstŽ‘*¢«.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ ÂinlineŽ‘)ŠIT‘ÿ «ransformŽ‘aSÏget‘‰ffŽ‘®tr‘ÿ}'ansformŽ’:«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïtr‘ÿ}'ansformŽ‘c™ý«;Ž¡‘ ·gŽŸÂ342.‘ üGet‘ÕTcop®9y‘ÿ -«.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.10.27.«]Ž‘Y;Made–UUthis“function“ÂconstŽ‘*¢«.ަŸüÈ„`Ê‘ 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ÂinlineŽ‘)ŠIb•QÇo“olŽ‘C+¯Ïis‘‰ffŽ–®on‘‰ffŽ“fr–ÿ}'e“e‘‰ffŽ‘®stor“eŽ’…¦„«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïon‘‰ffŽ›®fr–ÿ}'e“e‘‰ffŽ˜stor“eŽ‘o‹®«;Ž¡‘ -·gŽŸÂ345.– üSlopQÇe.“«[¬LDF‘T2002.10.27.«]Ž‘ZîYÏslop‘ÿ}'eŽ‘q&$«(‘ª®)–»xreturns“the“slopGe“of“the“Ïtr–ÿ}'ac“e‘{Ó«of–»xthe“line“from“·Ž‘»yÏthisŽ‘b§«to“±pŽ‘ ~ð«on“theŽ¡plane–UUindicated“bš¸ãy“the“Âc®9harŽ‘¿ž«argumen˜ts“±mŽ‘ra«and“±nŽ‘ Uï«.‘qÇThese“should“bGe“Ý'x'Ž››´«,“Ý'y'Ž˜«,“Ý'z'Ž˜«,“Ý'X'Ž˜«,“Ý'Y'Ž˜«,“or“Ý'Z'Ž˜«.ŽŸrŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +·gŽŸÂ345.– üSlopQÇe.“«[¬LDF‘T2002.10.27.«]Ž‘ZîYÏslop‘ÿ}'eŽ‘q&$«(‘ª®)–»xreturns“the“slopGe“of“the“Ïtr–ÿ}'ac“e‘{Ó«of–»xthe“line“from“·Ž‘»yÏthisŽ‘b§«to“±pŽ‘ ~ð«on“theŽ¡plane–UUindicated“bš¸ãy“the“Âc®9harŽ‘¿ž«argumen˜ts“±mŽ‘ra«and“±nŽ‘ Uï«.‘qÇThese“should“bGe“Ý'x'Ž››´«,“Ý'y'Ž˜«,“Ý'z'Ž˜«,“Ý'X'Ž˜«,“Ý'Y'Ž˜«,“or“Ý'Z'Ž˜«.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.10.27.«]Ž‘Y;No¸ãw–UUusing“Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘S¾¨«directly“instead“of“\get"“functions.Ž¡‘ 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Ž’ÕÝÝ\ŽŽ¦‘<orÈ ÝtheyÈ ÝareÈ ÝtheÈ ÝsameŽ’¤ÿÊ:È Ý"Ž’¸ A·‘DZmŽ‘Uç·‘ÇÝ",È Ý"Ž‘Œ·‘DZnŽ‘ ŽÊ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÝ"ReturningÈ ÝINVALID_RŽ‘kÆÜEAL\n\n"Ž’™D·ަ‘<Ï ushŽ‘Q¹«;ަ‘(ÂreturnŽ‘Kæ¾ÝINVALID_REALŽ’‹m«;ަ‘·gŽ¡‘Âin®9tŽ‘/¤úÏctrŽ‘@&«=‘DZmŽ‘ ǯ·‘8àÝ'x'Ž‘?«;ަ‘ÂrealŽ‘4³1Ïa‘‰ffŽ–®m‘‰ffŽ“c–ÿ}'o“or“dŽ‘dI“«=‘DZaŽ‘H:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Mþ«[ÏctrŽ‘ ¹î«];ަ‘ÂrealŽ‘4³1Ïp‘‰ffŽ–®m‘‰ffŽ“c–ÿ}'o“or“dŽ‘dI“«=‘DZpŽ‘Ï:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Mþ«[ÏctrŽ‘ ¹î«];Ž¡‘ÏctrŽ‘. «=‘DZnŽ‘ ’·‘8àÝ'x'Ž‘?«;Ž¡‘ÂrealŽ‘4³1Ïa‘‰ffŽ–®n‘‰ffŽ“c–ÿ}'o“or“dŽ‘a»[«=‘DZaŽ‘H:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Mþ«[ÏctrŽ‘ ¹î«];ަ‘ÂrealŽ‘4³1Ïp‘‰ffŽ–®n‘‰ffŽ“c–ÿ}'o“or“dŽ‘a»[«=‘DZpŽ‘Ï:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Mþ«[ÏctrŽ‘ ¹î«];ŽŸÂ347.‘ ü«W‘ÿ*ªe–Upoften“use“Ïslop‘ÿ}'eŽ‘;«(‘ª®)“in“order“to“ nd“out“whether“a“line“has“slopGe“or“not,‘Uwso“an“error“message“is“outަof–tplace“here.‘y%A‘Hwš¸ãarning“is“toGo,–-¼probably‘ÿ*ª,“but–tI'm“lea˜ving“this“in“here“for“no˜w,‘-¼just“in“case“I‘Hc˜hange“m˜yަmind.Ž¡·h–ª¨«De 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üNon-constŽ‘Øëv®9ersion.“«[¬LDF‘T2002.10.29.«]Ž‘[Ïis‘‰ffŽ–®on‘‰ffŽ“se‘ÿ}'gmentŽ’˜Äa«(‘ª®)–\1returns“a“Âb•QÇo“olu½‰™šs4Ž‘ÔwrealŽ‘6£Ž«with“the“Âb•QÇo“olŽ‘s«in-ޤ dicating–=Vwhether“·Ž‘ =WÏthisŽ‘fc«lies“on“the“line“segmenš¸ãt“bGet˜w˜een“Ïp0Ž‘‘l«and“Ïp1Ž‘T«,‘wVand“a“ÂrealŽ‘Ø…«v‘ÿqÇalue“±t“«represen˜ting“theŽ¡distance–l¤of“·Ž‘l¥ÏthisŽ‘Äÿ«on“the“w•¸ãa“y–l¤from“Ïp0Ž‘ð«to“Ïp1Ž‘ƒd«.›·´If“the“Âb•QÇo“olŽ‘%Y«is“ÏtrueŽ‘1<«,‘rxthen“0–íñ±<«=“±t“<«=“1.˜If›l¤±t“<“«0˜or˜±t“>“«1,‘rxthenŽ¡·Ž‘ÏthisŽ‘Rã«lies–g,on“the“line“passing“through“Ïp0Ž‘å«and“Ïp1Ž‘}ì«,›k¢but“not“on“the“segmen¸ãt.‘§LIf“·Ž‘g-ÏthisŽ‘º«doGesn't“lie“on“the“line,˜±tŽ¡«will–UUbGe“ÝINVALID_REALŽ‘BÛ™«.Ž¡‘ +[¬LDF‘T2002.10.29.«]Ž‘Y;T‘ÿ*ªo›UUc•¸ãhec“k˜whether˜·Ž‘UVÏthisŽ‘–a«lies˜on˜the˜line,˜use˜Ïis‘‰ffŽ–®on‘‰ffŽ“lineŽ‘-°_«(‘ª®).ŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.10.29.«]Ž‘XLJBUG‘‘FIX:–¡Added“coGde“to“c•¸ãhec“k–¡whether“the“unit“v¸ãectors“·Ž‘¢ÏthisŽ‘·Ñ·‘·yÏp0Ž›âÚ«and“Ïp1Ž˜·‘·yŽ‘·zÏthisŽ‘·Ñ«areŽ¡equal–gbGefore“calculating“±rŽ‘Ø{«.‘Z#Before“I‘Udid“this,‘—ÏtrueŽ‘ï–«wš¸ãas“returned“for“ÂP•®9oin“tsŽ‘&@R«that“w˜eren't“on“the“line“segmen˜t.Ž¡‘ -[¬LDF‘T2002.10.29.«]Ž‘Y;No¸ãw–UUusing“Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘S¾¨«directly“instead“of“Ïget‘‰ffŽ‘®xŽ‘㼫(›ª®),“Ïget‘‰ffŽ‘®yŽ‘Ék«(˜),“and“Ïget‘‰ffŽ‘®zŽ‘]V«(˜).ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·ŽŸ ‘ -Âb•QÇo“olu½‰™šs4Ž‘ÔwrealŽ‘;@‚Ïis‘‰ffŽ–®on‘‰ffŽ“se‘ÿ}'gmentŽ‘xuÑ«(ÂP•®9oin“tŽ‘ïÏp0Ž‘+]±;‘ª¨ÂP•®9oin“tŽ‘ šEÏp1Ž‘,±«);ŽŽŽŒ‹Z P Šn ý‘ì«90–­NON-ÂCONSTŽ‘+½Ô­VERSION’þ®¡3DLDFPRÃŽG“·x«350Ž €n ý•@PÂ350.ޤ·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·Ž© ‘ -Âb•QÇo“olu½‰™šs4Ž‘ÔwrealŽ‘;@‚P•®9oin“tŽ‘WÚΫ::‘Ïis‘‰ffŽ–®on‘‰ffŽ“se‘ÿ}'gmentŽ‘>5S«(ÂP•®9oin“tŽ‘ïÏp0Ž‘+]±;‘ª¨ÂP•®9oin“tŽ‘ 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+ Šn ý‘ì«92–­NON-ÂCONSTŽ‘+½Ô­VERSION’þ®¡3DLDFPRÃŽG“·x«350Ž €n ý•@P‘ÂP•®9oin“tŽ‘<ï Ïv2Ž‘Hƒ‡«(·Ž‘ÇÏv1Ž‘[«);Ž©‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘·fޤ ‘(Ïv2Ž‘3“ë±:ÏshowŽ‘Šÿ«(Ý"v2"Ž‘†\«);Ž¡‘·gŽ¡‘ÂifŽ‘)´û«(Ïv0Ž›Zÿ·6«=‘ÇÏv1Ž–“ß·^‘8àÏv0Ž“·6«=‘ÇÏv2Ž˜«)‘·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"NotÈ ÝonÈ Ýline.\n"Ž‘WMP«;Ž¡‘(ÂreturnŽ‘Kæ¾pairŽ‘`bÏ·hÂb•QÇo“olŽ‘L±;‘ª¨ÂrealŽ‘·i«(ÏfalseŽ‘¯D±;‘ª¨ÝINVALID_REALŽ‘A0ì«);Ž¡‘·gŽ¡‘=ª³±=·‘ÿý«[¬LDF‘T2002.10.29.«]Ž‘T7End–UUof“new“coGde.‘o·±=ŽŸÂ351.‘ ü«[¬LDF‘T2002.10.29.«]Ž‘Zˆ6Calculate–UUhoš¸ãw“far“·Ž‘UVÏthisŽ‘–a«is“on“the“w˜a˜y“from“Ïp0Ž‘Áj«to“Ïp1Ž‘l«.Ž¡‘ LDF‘&ÐUndated.‘bIThe–&Üv‘ÿqÇalue“±t“«can“bšGe“calculated“from“either“the“x,–0'y‘ÿ*ª,“or–&Üz-co˜ordinates.‘bIW‘ÿ*ªe“try“them“in“orderŽ¡and–çireturn“the“ rst“one“that“wš¸ãorks.‘M#Because“of“the“limited“precision“with“whic˜h“w˜e“are“w˜orking,‘ýeit's“pGossibleŽ¡that–¯the“v‘ÿqÇalue“of“±t“«can“di er,‘ÅodepšGending“on“what“co˜ordinates“are“used“to“calculate“it.‘~ÓIn“general,‘Åothis“willŽ¡not–bGe“signi 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àV±;‘ª¨ÏyzŽ‘ Yð±;‘ª¨ÏzxŽ‘ ±;‘ª¨ÏzyŽ‘ «);ަ‘ -·gޤÂ366.‘ üShift.Ž¡367.‘ üP•®9oin“t‘ÕTv“ersions.ŽŽŽŒ‹^@( Šn ý‘ì«94›­THREE–ÕXÂREAL“­AR•ÃŽGUMENTS’ëÆX3DLDFPR“G˜·x«368Ž €n ý•@PÂ368.‘ üThree–ÕTreal“argumen®9ts.ޤ·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž© ‘ +·gޤÂ366.‘ üShift.Ž¡367.‘ üP•®9oin“t‘ÕTv“ersions.ŽŽŽŒ‹_J Šn ý‘ì·x«368‘­3DLDFPRšÃŽG’ëÆXTHREE–ÕXÂREAL“­AR˜GUMENTS‘«95Ž €n ý•@PÂ368.‘ üThree–ÕTreal“argumen®9ts.ޤ·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž© ‘ ÂT‘ÿ «ransformŽ‘AÈÓÏshiftŽ‘UæP«(ÂrealŽ‘³.±xŽ‘jJ;‘ª¨ÂrealŽ‘]Ö±yŽ‘ gæ«=‘Ç0Ž–Ç±;‘ª¨ÂrealŽ‘]Ö±zŽ‘ < «=‘Ç0Ž“);ŽŸÂ369.Ž¡·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ަ‘ ÂT‘ÿ @@ -1352,18 +1382,18 @@ «ransformŽ‘AÈÓPictureŽ‘hdä«::‘ÏshiftŽ‘«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«)ަ‘ ·fަ‘ÂreturnŽ‘7æ¼ÏshiftŽ‘L9«(±pŽ‘:Ïget‘‰ffŽ‘®xŽ‘Žg«(–ª¨)±;“pŽ›²¨:Ïget‘‰ffŽ‘®yŽ‘t«(“)±;“pŽ˜:Ïget‘‰ffŽ‘®zŽ‘«(“));ަ‘ ·gŽŸÂ374.‘ üShift‘ÕTtimes.ަ‘ -«[¬LDF‘T2003.01.19.«]Ž‘YG.Note–”Hthat“Ïshift‘‰ffŽ‘®timesŽ‘2€ƒ«(›ª®)“will“only“ha•¸ãv“e–”Han“e 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«[¬LDF‘T2003.01.19.«]Ž‘Y;Added–UUthis“function.Ž¡‘ [¬LDF‘T2003.01.22.«]Ž‘Yh$Got–µ>rid“of“loGcal“ÂT‘ÿ -«ransformŽ‘;Ýù±tŽ‘?zk«.›‘ƒIt“w¸ãasn't“needed.˜No¸ãw“just“returning“the“return“v‘ÿqÇalueŽ¡of‘UUÏtr‘ÿ}'ansformŽ‘/–±:Ïshift‘‰ffŽ‘®timesŽ‘.ì;«(‘ª¨).ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž© ‘ +«ransformŽ‘;Ýù±tŽ‘?zk«.›‘ƒIt“w¸ãasn't“needed.˜No¸ãw“just“returning“the“return“v‘ÿqÇalueŽ¡of‘UUÏtr‘ÿ}'ansformŽ‘/–±:Ïshift‘‰ffŽ‘®timesŽ‘.ì;«(‘ª¨).ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž© ‘ ÂT‘ÿ «ransformŽ‘AÈÓÏshift‘‰ffŽ‘®timesŽ‘pµ«(ÂrealŽ‘³.±xŽ‘jJ;‘ª¨ÂrealŽ‘]Ö±yŽ‘ gæ«=‘Ç1Ž–Ç±;‘ª¨ÂrealŽ‘]Ö±zŽ‘ < «=‘Ç1Ž“);ŽŸÂ376.Ž¡·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ަ‘ ÂT‘ÿ «ransformŽ‘AÈÓP•®9oin“tŽ‘^c«::‘Ïshift‘‰ffŽ‘®timesŽ‘/ì?«(ÂrealŽ‘³.±xŽ‘jJ;‘ª¨ÂrealŽ‘]Ö±yŽ‘ Î;‘ª¨ÂrealŽ‘]Ö±zŽ‘tô«)ަ‘ ·fަ‘ÂreturnŽ‘7æ¼Ïtr‘ÿ}'ansformŽ‘c™ý±:Ïshift‘‰ffŽ‘®timesŽ‘.ì;«(±xŽ‘·;‘ª¨yŽ‘í ;‘ª¨zŽ‘ÁÆ«);ަ‘ -·gŽŸÂ377.‘ üP•®9oin“t‘ÕTargumen“t.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ -«[¬LDF‘T2003.01.19.«]Ž‘Y;Added–UUthis“function.Ž¡ŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·ަ‘ +·gŽŸÂ377.‘ üP•®9oin“t‘ÕTargumen“t.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¦‘ +«[¬LDF‘T2003.01.19.«]Ž‘Y;Added–UUthis“function.Ž¡ŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·ަ‘ ÂT‘ÿ «ransformŽ‘AÈÓÏshift‘‰ffŽ‘®timesŽ‘pµ«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«);ŽŸÂ378.Ž¡·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ަ‘ ÂT‘ÿ @@ -1371,8 +1401,8 @@ ·fަ‘ÂreturnŽ‘7æ¼Ïtr‘ÿ}'ansformŽ‘c™ý±:Ïshift‘‰ffŽ‘®timesŽ‘.ì;«(±pŽ‘:Ïget‘‰ffŽ‘®xŽ‘Žg«(–ª¨)±;“pŽ›²¨:Ïget‘‰ffŽ‘®yŽ‘t«(“)±;“pŽ˜:Ïget‘‰ffŽ‘®zŽ‘«(“));ަ‘ ·gŽŸÂ379.› üAlignmen®9t–Ï?with“an“axis.˜«Declared–.§in“Ètransfor.web«.‘ý¼De ned“here,‘dûbGecause“it“needs“ÂP•®9oin“tsŽ‘$R+«.ަ[¬LDF‘T2002.10.23.«]Ž‘NÔÏalign‘‰ffŽ–®with‘‰ffŽ“axisŽ’†—«(‘ª®)–!:returns“the“ÂT‘ÿ «ransformŽ‘:µñ«needed“to“alignŸü±È“·ŽŽ‘Â!‘þãŽŽŽ‘gþ!ŽŽŸN8“±pŸÿ®0Ž‘|s±pŸÿ®1ŽŽŽŽŽ‘KZ«with“one“of“the“main“axes.ަ‘ -[¬LDF‘T2003.05.04.«]Ž‘Y;BUG:–UUTO“DO:“T‘ÿ*ªry“to“ nd“out“wh¸ãy“I“sometimes“get“erroneous“results“withަÏr‘ÿ}'otateŽ‘o>«(ÂP•®9oin“tŽ‘šH±;‘ª¨ÂP•®9oin“tŽ‘Dð±;‘ª¨ÂrealŽ‘«)–UU(formerly“Ïr–ÿ}'otate‘‰ffŽ‘®ar“oundŽ‘?Áä«(‘ª®)).‘qÇI“think“the“problem“ma¸ãy“bGe“here.ŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ -«[¬LDF‘T2002.12.10.«]Ž‘YÓ»Made– Õthis“function“a“ÂfriendŽ‘&S«in“ÂclassŽ‘̦P•®9oin“tŽ‘;fî«.‘ÔHNo¸ãw“calling“Ïp0Ž‘7•±:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨)“andަÏp1Ž‘ À±:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨)–UUat“the“bGeginning“of“this“function“and“using“Ïp0Ž‘l±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘PiS«andަÏp1Ž‘ À±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘PiS«directly–UUinstead“of“Ïget‘‰ffŽ‘®xŽ‘㼫(›ª®),“Ïget‘‰ffŽ‘®yŽ‘Ék«(˜),“and“Ïget‘‰ffŽ‘®zŽ‘]V«(˜).Ž¡ŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽŽŽŒ‹`YÍ Šn ý‘ì«96›­ALIGNMENT–ÕXWITH“AN“AXIS’ïà3DLDFPRÃŽG˜·x«380Ž €n ý•@PÂ380.Ž©·h–ª¨«De ne‘UUÂT‘ÿ +[¬LDF‘T2003.05.04.«]Ž‘Y;BUG:–UUTO“DO:“T‘ÿ*ªry“to“ nd“out“wh¸ãy“I“sometimes“get“erroneous“results“withަÏr‘ÿ}'otateŽ‘o>«(ÂP•®9oin“tŽ‘šH±;‘ª¨ÂP•®9oin“tŽ‘Dð±;‘ª¨ÂrealŽ‘«)–UU(formerly“Ïr–ÿ}'otate‘‰ffŽ‘®ar“oundŽ‘?Áä«(‘ª®)).‘qÇI“think“the“problem“ma¸ãy“bGe“here.ŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¦‘ +«[¬LDF‘T2002.12.10.«]Ž‘YÓ»Made– Õthis“function“a“ÂfriendŽ‘&S«in“ÂclassŽ‘̦P•®9oin“tŽ‘;fî«.‘ÔHNo¸ãw“calling“Ïp0Ž‘7•±:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨)“andަÏp1Ž‘ À±:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨)–UUat“the“bGeginning“of“this“function“and“using“Ïp0Ž‘l±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘PiS«andަÏp1Ž‘ À±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘PiS«directly–UUinstead“of“Ïget‘‰ffŽ‘®xŽ‘㼫(›ª®),“Ïget‘‰ffŽ‘®yŽ‘Ék«(˜),“and“Ïget‘‰ffŽ‘®zŽ‘]V«(˜).Ž¡ŸüÈ„`ÕÁGŽŽŽŽŒ‹ac Šn ý‘ì·x«380›­3DLDFPRÃŽG’ïàALIGNMENT–ÕXWITH“AN“AXIS˜«97Ž €n ý•@PÂ380.Ž©·h–ª¨«De ne‘UUÂT‘ÿ «ransformŽ‘;'«functions‘@­125“·i‘Ç«+·ޤ ‘ ÂT‘ÿ «ransformŽ‘AÈÓT‘ÿ @@ -1386,7 +1416,7 @@ z“coGordinatesŽ¡‘2are–UUall“pšGositiv¸ãe.‘qÇSee“b˜elo¸ãw“for“the“explanation.‘o·±=Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘(±tŽ‘+œv:ÏshowŽ‘Šÿ«(Ý"tÈ ÝoutsideÈ ÝofÈ ÝnormaŽ‘hÿÄlization"Ž’˜Æ«);Ž¡‘·gަ‘ÂP•®9oin“tŽ‘<¼Ïpr‘ÿ}'oj‘‰ffŽ–®on‘‰ffŽ“x‘‰ffŽ“z‘‰ffŽ“planeŽ’ˆ,"«(Ïp1Ž‘ À«);‘±=·‘Ìv«[¬LDF‘T2002.10.23.«]Ž‘S¡)Get–!Îthe“pro‘Ž8jection“of“Ïp1Ž‘Z\«on“the“x-z“plane.‘ B·±=Ž¡‘ Ïpr‘ÿ}'oj‘‰ffŽ–®on‘‰ffŽ“x‘‰ffŽ“z‘‰ffŽ“planeŽ‘Up ±:ÏshiftŽ‘}«(0Ž–±;‘ª¨·Ž‘ qÆÏp1Ž‘ˆ†±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Mþ«[1Ž“]);ަ‘ -ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘Ïpr‘ÿ}'oj‘‰ffŽ–®on‘‰ffŽ“x‘‰ffŽ“z‘‰ffŽ“planeŽ‘Pp ±:ÏshowŽ‘Šÿ«(Ý"proj_on_x_z_plane"Ž‘dF/«);ŽŽŽŒ‹afõ Šn ý‘ì·x«382›­3DLDFPRÃŽG’ïàALIGNMENT–ÕXWITH“AN“AXIS˜«97Ž €n ý•@PÂ382.‘ ü«[¬LDF‘T2002.10.23.«]Ž‘ZJœIf–»wš¸ãe're“aligning“with“the“x“or“y-axis,‘$ rotate“Ïp1Ž‘F6«on˜to“the“x-y“plane“and“then“to“theޤ x-axis.Ž©·h–ª¨«De ne‘UUÂT‘ÿ +ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘Ïpr‘ÿ}'oj‘‰ffŽ–®on‘‰ffŽ“x‘‰ffŽ“z‘‰ffŽ“planeŽ‘Pp ±:ÏshowŽ‘Šÿ«(Ý"proj_on_x_z_plane"Ž‘dF/«);ŽŽŽŒ‹bp1 Šn ý‘ì«98›­ALIGNMENT–ÕXWITH“AN“AXIS’ïà3DLDFPRÃŽG˜·x«382Ž €n ý•@PÂ382.‘ ü«[¬LDF‘T2002.10.23.«]Ž‘ZJœIf–»wš¸ãe're“aligning“with“the“x“or“y-axis,‘$ rotate“Ïp1Ž‘F6«on˜to“the“x-y“plane“and“then“to“theޤ x-axis.Ž©·h–ª¨«De ne‘UUÂT‘ÿ «ransformŽ‘;'«functions‘@­125“·i‘Ç«+·Ž¡‘ ÂifŽ‘´ù«(ÏaxisŽ‘à·‘ÇÝ'x'Ž‘FW·_‘8àÏaxisŽ‘<À·‘ÇÝ'y'Ž‘ w«)‘·fŽ¡‘ÂP•®9oin“tŽ‘2ïŸÏpt‘‰ffŽ–®on‘‰ffŽ“x‘‰ffŽ“axisŽ‘hЫ;ަ‘Ïpt‘‰ffŽ–®on‘‰ffŽ“x‘‰ffŽ“axisŽ‘I3±:ÏsetŽ‘ x„«(1Ž‘);Ž¡‘ÏangleŽ‘.‡m«=‘ÇÏpr‘ÿ}'oj‘‰ffŽ–®on‘‰ffŽ“x‘‰ffŽ“z‘‰ffŽ“planeŽ‘N7!±:ÏangleŽ‘ÀS«(Ïpt‘‰ffŽ–®on‘‰ffŽ“x‘‰ffŽ“axisŽ‘51«);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"angleÈ ÝofÈ ÝprojectionŽ‘kÆÜ:È Ý"Ž‘~ÔS·‘ÇÏangleŽ‘Nƒ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ÂifŽ‘´ú«(ÏangleŽ‘‡k·6«=‘Ç0Ž‘ ÿù·^‘8àÏangleŽ‘ÀK·6«=‘ÇÝINVALID_REALŽ‘BM\«)‘±tŽ‘ cŠ·«=ŽŽ‘ñÁÏp1Ž‘'±:Ïr‘ÿ}'otateŽ‘o>«(0Ž‘±;‘ª¨·Ž‘ qÆÏangleŽ‘!2«);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïp1Ž‘À±:ÏshowŽ‘Šÿ«(Ý"p1È ÝafterÈ ÝrotationÈ ÝtŽ‘hÿÄoÈ Ýx-yÈ Ýplane"Ž’¨†«);Ž¡‘ÏangleŽ‘.‡m«=‘ÇÏp1Ž‘ÝØ±:ÏangleŽ‘ÀS«(Ïpt‘‰ffŽ–®on‘‰ffŽ“x‘‰ffŽ“axisŽ‘51«);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"angleÈ ÝtoÈ Ýx-axis:È Ý"Ž‘iÔ_·‘ÇÏangleŽ‘Nƒ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ÂifŽ‘´ú«(ÏangleŽ‘‡k·6«=‘Ç0Ž‘ ÿù·^‘8àÏangleŽ‘ÀK·6«=‘ÇÝINVALID_REALŽ‘BM\«)‘±tŽ‘ cŠ·«=ŽŽ‘ñÁÏp1Ž‘'±:Ïr‘ÿ}'otateŽ‘o>«(0Ž‘±;‘ª¨«0Ž‘ª©±;‘ª¨·Ž‘ qÆÏangleŽ‘!2«);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïp1Ž‘À±:ÏshowŽ‘Šÿ«(Ý"p1È ÝafterÈ ÝrotationÈ ÝtŽ‘hÿÄoÈ Ýx-axis"Ž’˜Æ«);Ž¡‘ ·gŽŸÂ383.‘ ü«[¬LDF‘T2002.10.23.«]Ž‘YÇŠIf–”©wš¸ãe're“aligning“with“the“z-axis,‘»2rotate“Ïp1Ž‘@«on˜to“the“y-z“plane“and“then“to“the“z-axis.ަ·h–ª¨«De ne‘UUÂT‘ÿ @@ -1394,8 +1424,8 @@ ÂelseŽ‘ .5ifŽ‘+ã-«(ÏaxisŽ‘à·‘ÇÝ'z'Ž‘ w«)–UU·f“ÂP•®9oin“tŽ‘"DòÏpt‘‰ffŽ–®on‘‰ffŽ“z‘‰ffŽ“axisŽ‘VÍV«;ަ‘ Ïpt‘‰ffŽ–®on‘‰ffŽ“z‘‰ffŽ“axisŽ‘>ˆe±:ÏsetŽ‘ x„«(0Ž‘±;‘ª¨«0Ž–ª©±;‘ª¨«1Ž“);‘±=·‘<«[¬LDF‘T2002.10.23.«]Ž‘T€qThis–‘rassumes“that“Ïpr‘ÿ}'oj‘‰ffŽ–®on‘‰ffŽ“x‘‰ffŽ“z‘‰ffŽ“planeŽ‘O{±:Ïget‘‰ffŽ‘®zŽ‘«(‘ª¨)–+H·“«0Ž‘+I.‘&ItŽ¡‘should–UUbšGe,“but“if“it“isn't,“the“follo¸ãwing“error“handling“co˜de“tak¸ães“care“of“the“problem.‘o·±=Ž¡‘ ÂifŽ‘´ù«(Ïpr‘ÿ}'oj‘‰ffŽ–®on‘‰ffŽ“x‘‰ffŽ“z‘‰ffŽ“planeŽ‘Kp ±:Ïget‘‰ffŽ‘®zŽ‘«(‘ª¨)–DZ<“«0Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘.ä·‘M<Ý"ERROR!È ÝInÈ ÝTransformŽ‘pM::align_with_axis():Ž’ÙLÄ\n"Ž’ðà_·Ž¡‘(Ý"proj_on_x_z_plane.gŽ’ÿÈet_z()È Ý<È Ý0\n"Ž’ØÛ·‘ Ý"@Ž‘lÏÈ ÝshouldÈ ÝensureÈ ÝthatÈ Ž’Õ“Ý"Ž’Ýð·Ž¡‘(Ý"thisÈ ÝvalueÈ ÝisÈ Ý>=È Ý0.Ž’ÿÈ\n"Ž’¤[2·‘ Ý"HandlingÈ ÝtheÈ Ýerror,Ž‘lÏÈ ÝbutÈ ÝfindÈ ÝoutÈ ÝwhyÈ ÝitŽ’Õ“È Ýhappened!"Ž’oå·Ž¡‘(Ïend‘‚ØlŽ‘>¸Þ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘Ïpt‘‰ffŽ–®on‘‰ffŽ“z‘‰ffŽ“axisŽ‘Hˆf±:ÏsetŽ‘ x„«(0Ž‘±;‘ª¨«0Ž‘ª©±;‘ª¨·Ž‘ qÆ«1Ž‘qÇ);Ž¡‘ -·gŽŸÂ384.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.12.10.«]Ž‘Yð:Added–=Tthe“follo¸ãwing“conditional.‘)ÅT‘ÿ*ªrying“to“ x“a“bug“that“ošGccurred“while“p˜orting“toŽ¡GNU/Lin¸ãux.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«De ne‘UUÂT‘ÿ +·gŽŸÂ384.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.12.10.«]Ž‘Yð:Added–=Tthe“follo¸ãwing“conditional.‘)ÅT‘ÿ*ªrying“to“ x“a“bug“that“ošGccurred“while“p˜orting“toŽ¡GNU/Lin¸ãux.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«De ne‘UUÂT‘ÿ «ransformŽ‘;'«functions‘@­125“·i‘Ç«+·Ž¡‘ ÂifŽ‘´ù«(Ïpr‘ÿ}'oj‘‰ffŽ–®on‘‰ffŽ“x‘‰ffŽ“z‘‰ffŽ“planeŽ‘Kp ±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ›Mþ«[0Ž‘]–Ç·“«0Ž‘ ÿù·^‘8àÏpr‘ÿ}'oj‘‰ffŽ–®on‘‰ffŽ“x‘‰ffŽ“z‘‰ffŽ“planeŽ‘M¨é±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ˜«[1Ž‘]“·“«0Ž›Ç)‘ÏangleŽ‘‡k«=“0Ž˜;Ž¡‘ ÂelseŽ‘!ØàÏangleŽ‘<`K«=‘ÇÏpr‘ÿ}'oj‘‰ffŽ–®on‘‰ffŽ“x‘‰ffŽ“z‘‰ffŽ“planeŽ‘N7!±:ÏangleŽ‘ÀS«(Ïpt‘‰ffŽ–®on‘‰ffŽ“z‘‰ffŽ“axisŽ‘4ˆd«);ŽŸÂ385.ަ·h–ª¨«De ne‘UUÂT‘ÿ @@ -1403,9 +1433,9 @@ ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"angleÈ ÝofÈ ÝprojectionŽ‘kÆÜ:È Ý"Ž‘~ÔS·‘ÇÏangleŽ‘Nƒ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ ÂifŽ‘´ù«(ÏangleŽ‘‡k·6«=‘Ç0Ž‘ ÿù·^‘8àÏangleŽ‘ÀK·6«=‘ÇÝINVALID_REALŽ‘BM\«)‘±tŽ‘ cŠ·«=ŽŽ‘ñÁÏp1Ž‘'±:Ïr‘ÿ}'otateŽ‘o>«(0Ž‘±;‘ª¨ÏangleŽ‘jû«);Ž¡‘ ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘Ïp1Ž‘À±:ÏshowŽ‘Šÿ«(Ý"p1È ÝafterÈ ÝrotationÈ ÝtŽ‘hÿÄoÈ Ýz-yÈ Ýplane"Ž’¨†«);Ž¡‘ -Ïp1Ž‘Á±:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);ŽŽŽŒ‹bs‡ Šn ý‘ì«98›­ALIGNMENT–ÕXWITH“AN“AXIS’ïà3DLDFPRÃŽG˜·x«386Ž €n ý•@PÂ386.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ +Ïp1Ž‘Á±:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);ŽŽŽŒ‹c|àŠn ý‘ì·x«386›­3DLDFPRÃŽG’ïàALIGNMENT–ÕXWITH“AN“AXIS˜«99Ž €n ý•@PÂ386.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¤ ‘ «[¬LDF‘T2002.12.10.«]Ž‘Yð:Added–=Tthe“follo¸ãwing“conditional.‘)ÅT‘ÿ*ªrying“to“ x“a“bug“that“ošGccurred“while“p˜orting“toŽ¡GNU/Lin¸ãux.Ž¡‘ -[¬LDF‘T2003.06.13.«]Ž‘X=BUG‘ŠFIX:–Š9Changed“Ïpr‘ÿ}'oj‘‰ffŽ–®on‘‰ffŽ“x‘‰ffŽ“z‘‰ffŽ“planeŽ‘P„{«to“Ïp1Ž‘+2«in“the“\ÂifŽ‘_£«"“part“of“the“follo¸ãwing“conditional.Ž¡The–]/y-coGordinate“of“Ïpr‘ÿ}'oj‘‰ffŽ–®on‘‰ffŽ“x‘‰ffŽ“z‘‰ffŽ“planeŽ‘R*g«is“alw•¸ãa“ys–]/0,‘_&so“ÏangleŽ‘z±«wš¸ãas“alw˜a˜ys“set“to“0.‘‰VI‘]-disco˜v˜ered“this“bug“whenŽ¡I‘'‘tried–'œrotating“a“ÂP•®9oin“tŽ‘!逫in“the“plane“of“a“ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘GÍì«abGout“a“line“from“the“cen¸ãter“of“the“ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽŽ¡«in–UUthe“direction“of“its“normal,“and“the“resulting“ÂP•®9oin“tŽ‘"Dò«w¸ãas“not“in“the“same“plane.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«De ne‘UUÂT‘ÿ +[¬LDF‘T2003.06.13.«]Ž‘X=BUG‘ŠFIX:–Š9Changed“Ïpr‘ÿ}'oj‘‰ffŽ–®on‘‰ffŽ“x‘‰ffŽ“z‘‰ffŽ“planeŽ‘P„{«to“Ïp1Ž‘+2«in“the“\ÂifŽ‘_£«"“part“of“the“follo¸ãwing“conditional.Ž¡The–]/y-coGordinate“of“Ïpr‘ÿ}'oj‘‰ffŽ–®on‘‰ffŽ“x‘‰ffŽ“z‘‰ffŽ“planeŽ‘R*g«is“alw•¸ãa“ys–]/0,‘_&so“ÏangleŽ‘z±«wš¸ãas“alw˜a˜ys“set“to“0.‘‰VI‘]-disco˜v˜ered“this“bug“whenŽ¡I‘'‘tried–'œrotating“a“ÂP•®9oin“tŽ‘!逫in“the“plane“of“a“ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘GÍì«abGout“a“line“from“the“cen¸ãter“of“the“ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽŽ¡«in–UUthe“direction“of“its“normal,“and“the“resulting“ÂP•®9oin“tŽ‘"Dò«w¸ãas“not“in“the“same“plane.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«De ne‘UUÂT‘ÿ «ransformŽ‘;'«functions‘@­125“·i‘Ç«+·ޤ ‘ ÂifŽ‘´ù«(Ïp1Ž‘ À±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Mþ«[1Ž‘]–Ç·“«0Ž›Ç)‘ÏangleŽ‘‡k«=“0Ž˜;Ž¡‘ ÂelseŽ‘!ØàÏangleŽ‘<`K«=‘ÇÏp1Ž‘ÝØ±:ÏangleŽ‘ÀS«(Ïpt‘‰ffŽ–®on‘‰ffŽ“z‘‰ffŽ“axisŽ‘4ˆd«);Ž©Â387.ŽŸ·h–ª¨«De ne‘UUÂT‘ÿ @@ -1421,13 +1451,13 @@ ·gŽ¡‘ Ž‘ÏthisŽ‘"²Ð·«=ŽŽ‘2A±tŽ‘5Ýy«;Ž¡‘ ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝTransform::Ž‘kÆÜalign_with_axis."Ž’ÈT)·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ -ÂreturnŽ‘-æ»±tŽ‘1ƒ-«;‘qÇ·gŽŽŽŒ‹c†ý Šn ý‘ì·x«389–­3DLDFPRÃŽG’>ÝNORMALIZE‘ÕXPOINT“«99Ž €n ý•@PÂ389.– üNormalize‘ ŽpQÇoin®9t.“«It–'qmakš¸ães“it“easier“to“determine“the“correct“direction“of“rotation“to˜w˜ard“the“x-yޤ or–xþy-z“plane“if“Ïp1Ž‘¾«'s“coGordinates“are“all“±>«=‘†0,‘èso“wš¸ãe“rotate“it“in“order“to“mak˜e“them“so.‘ÜÁThe“only“case“thatŽ¡requires–.‡more“than“a“rotation“around“a“single“axis“is“the“case“that“±xŸÿó 0e—rcmmi7´p®1Ž–›Å«,›6J±yŸÿ´p®1Ž“«,˜and–.‡±zŸÿ´p®1Ž‘ ÊL«are“all“±<‘Ç«0.‘dØIt“w¸ãould“bGeŽ¡nice–UUif“I“could“replace“this“long“conditional“with“a“more“eleganš¸ãt“construction,“but“I“don't“kno˜w“one.Ž©·h–ª¨«Normalize‘UUpGoin¸ãt‘@­389“·i‘ÇŽ¡‘ +ÂreturnŽ‘-æ»±tŽ‘1ƒ-«;‘qÇ·gŽŽŽŒ‹d Šn ý‘ì«100–­NORMALIZE‘ÕXPOINT’>Ü3DLDFPRÃŽG“·x«389Ž €n ý•@PÂ389.– üNormalize‘ ŽpQÇoin®9t.“«It–'qmakš¸ães“it“easier“to“determine“the“correct“direction“of“rotation“to˜w˜ard“the“x-yޤ or–xþy-z“plane“if“Ïp1Ž‘¾«'s“coGordinates“are“all“±>«=‘†0,‘èso“wš¸ãe“rotate“it“in“order“to“mak˜e“them“so.‘ÜÁThe“only“case“thatŽ¡requires–.‡more“than“a“rotation“around“a“single“axis“is“the“case“that“±xŸÿó 0e—rcmmi7´p®1Ž–›Å«,›6J±yŸÿ´p®1Ž“«,˜and–.‡±zŸÿ´p®1Ž‘ ÊL«are“all“±<‘Ç«0.‘dØIt“w¸ãould“bGeŽ¡nice–UUif“I“could“replace“this“long“conditional“with“a“more“eleganš¸ãt“construction,“but“I“don't“kno˜w“one.Ž©·h–ª¨«Normalize‘UUpGoin¸ãt‘@­389“·i‘ÇŽ¡‘ fŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïp1Ž‘À±:ÏshowŽ‘Šÿ«(Ý"p1È ÝbeforeÈ ÝnormalizaŽ‘hÿÄtion"Ž’ƒÆ«);Ž¡‘ÂifŽ‘´ú«(Ïp1Ž‘ À±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ›Mþ«[0Ž‘]–DZ<“«0Ž‘ ÿù·^‘8àÏp1Ž‘O ±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ˜«[1Ž‘]“·“«0Ž‘ ÿù·^‘8àÏp1Ž‘O ±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ˜«[2Ž‘]“·“«0Ž‘Ç)Ž¡‘(±=·‘ÿý«x–UUnegativš¸ãe,“y“and“z“pGositiv˜e.‘o·±=Ž¡‘tŽ‘$c·«=ŽŽ‘3ñÄÏp1Ž‘@„±:Ïr‘ÿ}'otateŽ‘o>«(0Ž‘±;‘ª¨·Ž‘ qÆ«90ŽŽ‘qÈ);Ž¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ïp1Ž‘ À±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ›Mþ«[0Ž‘]–Ç·“«0Ž‘ ÿù·^‘8àÏp1Ž‘O ±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ˜«[1Ž‘]“±<“«0Ž‘ ÿù·^‘8àÏp1Ž‘O ±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ˜«[2Ž‘]“·“«0Ž‘Ç)Ž¡‘(±=·‘ÿý«x–UUpGositivš¸ãe,“y“negativ˜e,“z“pGositiv˜e.‘o·±=Ž¡‘tŽ‘$c·«=ŽŽ‘3ñÄÏp1Ž‘@„±:Ïr‘ÿ}'otateŽ‘o>«(90ŽŽ‘ );Ž¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ïp1Ž‘ À±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ›Mþ«[0Ž‘]–Ç·“«0Ž‘ ÿù·^‘8àÏp1Ž‘O ±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ˜«[1Ž‘]“·“«0Ž‘ ÿù·^‘8àÏp1Ž‘O ±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ˜«[2Ž‘]“±<“«0Ž‘Ç)Ž¡‘(±=·‘ÿý«x–UUpšGositiv¸ãe,“y“p˜ositivš¸ãe,“z“negativ˜e.‘o·±=Ž¡‘tŽ‘$c·«=ŽŽ‘3ñÄÏp1Ž‘@„±:Ïr‘ÿ}'otateŽ‘o>«(·Ž‘Ç«90ŽŽ‘Ç );Ž¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ïp1Ž‘ À±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ›Mþ«[0Ž‘]–DZ<“«0Ž‘ ÿù·^‘8àÏp1Ž‘O ±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ˜«[1Ž‘]“±<“«0Ž‘ ÿù·^‘8àÏp1Ž‘O ±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ˜«[2Ž‘]“·“«0Ž‘Ç)Ž¡‘(±=·‘ÿý«x–UUnegativš¸ãe,“y“negativ˜e,“z“pGositiv˜e.‘o·±=Ž¡‘tŽ‘$c·«=ŽŽ‘3ñÄÏp1Ž‘@„±:Ïr‘ÿ}'otateŽ‘o>«(0Ž‘±;‘ª¨«0Ž‘ª©±;‘ª¨«180ŽŽ‘ª«);Ž¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ïp1Ž‘ À±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ›Mþ«[0Ž‘]–DZ<“«0Ž‘ ÿù·^‘8àÏp1Ž‘O ±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ˜«[1Ž‘]“·“«0Ž‘ ÿù·^‘8àÏp1Ž‘O ±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ˜«[2Ž‘]“±<“«0Ž‘Ç)Ž¡‘(±=·‘ÿý«x–UUnegativš¸ãe,“y“pGositiv˜e,“z“negativ˜e.‘o·±=Ž¡‘tŽ‘$c·«=ŽŽ‘3ñÄÏp1Ž‘@„±:Ïr‘ÿ}'otateŽ‘o>«(0Ž‘±;‘ª¨«180ŽŽ‘ª«);Ž¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ïp1Ž‘ À±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ›Mþ«[0Ž‘]–Ç·“«0Ž‘ ÿù·^‘8àÏp1Ž‘O ±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ˜«[1Ž‘]“±<“«0Ž‘ ÿù·^‘8àÏp1Ž‘O ±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ˜«[2Ž‘]“±<“«0Ž‘Ç)Ž¡‘(±=·‘ÿý«x–UUpGositivš¸ãe,“y“negativ˜e,“z“negativ˜e.‘o·±=Ž¡‘tŽ‘$c·«=ŽŽ‘3ñÄÏp1Ž‘@„±:Ïr‘ÿ}'otateŽ‘o>«(180ŽŽ‘);Ž¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ïp1Ž‘ À±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ›Mþ«[0Ž‘]–DZ<“«0Ž‘ ÿù·^‘8àÏp1Ž‘O ±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ˜«[1Ž‘]“±<“«0Ž‘ ÿù·^‘8àÏp1Ž‘O ±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ˜«[2Ž‘]“±<“«0Ž‘Ç)Ž¡‘±=·‘ÿý«All‘UUnegativ¸ãe.‘o·±=Ž¡‘·fŽ¡‘ÂrealŽ‘4³1±aŽ‘<Ãy«=‘ÇÏp1Ž‘ÝØ±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Mþ«[0Ž‘];ަ‘±tŽ‘$c·«=ŽŽ‘3ñÄÏp1Ž‘@„±:Ïr‘ÿ}'otateŽ‘o>«(180ŽŽ‘±;‘ª¨«180ŽŽ‘ª«);Ž¡‘±tŽ‘$c·«=ŽŽ‘3ñÄÏp1Ž‘@„±:ÏshiftŽ‘}«(±aŽ‘I0«);Ž¡‘±tŽ‘$c·«=ŽŽ‘3ñÄÏp1Ž‘@„±:Ïr‘ÿ}'otateŽ‘o>«(0Ž‘±;‘ª¨«180ŽŽ‘ª«);Ž¡‘±tŽ‘$c·«=ŽŽ‘3ñÄÏp1Ž‘@„±:ÏshiftŽ‘}«(·Ž‘DZaŽ‘ N«);Ž¡‘·gŽ¡‘Ïp1Ž‘ ±:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïp0Ž‘*ñ:ÏshowŽ‘Šÿ«(Ý"p0È ÝafterÈ ÝnormalizatŽ‘hÿÄion"Ž‘~† «);Ž¡‘Ïp1Ž‘*ñ:ÏshowŽ‘Šÿ«(Ý"p1È ÝafterÈ ÝnormalizatŽ‘hÿÄion"Ž‘~† «);Ž¡‘±tŽ‘!œu:ÏshowŽ‘Šÿ«(Ý"tÈ ÝafterÈ ÝnormalizatiŽ‘hÿÄon"Ž‘yF#«);Ž¡‘·gŽ¡‘ -gŽŸ ­This–ÕXco‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +gŽŸ ­This–ÕXco„`ÊŽŽ¡·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž© ‘ +[¬LDF‘T2003.05.02.«]Ž‘YËSChanged–mname“of“this“function“from“Ïr–ÿ}'otate‘‰ffŽ‘®ar“oundŽ‘@„ü«(›ª®)“to“Ïr‘ÿ}'otateŽ‘‡««(˜).‘»This“function“no¸ãwŽ¡o•¸ãv“erloads‘UUÏr‘ÿ}'otateޑē«(‘ª®)–UUwith“three“ÂrealŽ‘ƒ«argumen¸ãts.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž© ‘ ÂT‘ÿ «ransformŽ‘AÈÓÏr‘ÿ}'otateŽ‘\8«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]Ïp0Ž‘Pø±;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒÏp1Ž‘R¢Å±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏangleŽ‘Qã«=‘Ç180ŽŽ‘Ç);ŽŸÂ393.Ž¡·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ަ‘ ÂT‘ÿ @@ -1436,16 +1466,16 @@ «ransformŽ‘KÈÔ±tŽ‘OeF«;Ž¡‘ÂifŽ‘´ú«(±aŽ‘H·‘DZbŽ‘ J¢·_‘8à±aŽ‘ I(·‘ÇŽ‘ Ž6±bŽ‘Øà«)‘·fަ‘Ïc‘ÿ}'errŽ‘3ÓK·‘¢Ý"WARNING!È ÝInÈ ÝPoint::Ž‘lfrotate().\n"Ž’®ÁL·‘¢Ý"PointÈ ÝtoÈ ÝbeÈ ÝrotatedŽ‘lfÈ ÝliesÈ ÝonÈ Ýaxis.\n"Ž’É=·ަ‘2Ý"ReturningÈ ÝidentityÈ Ž’šÿÉÝTransform.\n\n"Ž’í ·‘ÇÏ ushŽ‘€«;ަ‘ÂreturnŽ‘Aæ½±tŽ‘Eƒ/«;ަ‘·gަ‘ÂreturnŽ‘7æ¼Ïtr‘ÿ}'ansformŽ‘c™ý±:Ïr‘ÿ}'otateŽ‘o>«(Ïp0Ž‘ À±;‘ª¨Ïp1Ž‘ Áh±;‘ª¨ÏangleŽ‘jû«);ަ‘ -·gŽŸÂ394.› üP•®9ath‘**argumen“t.˜«De 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ÂT‘ÿ -«ransformŽ‘AÈÓÏr‘ÿ}'otateŽ‘\8«(ÂconstŽ‘*¢P®9athŽ‘:[«&Ž‘AØy±pŽ‘Fày;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏangleŽ‘Qã«=‘Ç180ŽŽ‘Ç);ŽŽŽŒ‹e¥| Šn ý‘ì·x«395–­3DLDFPRÃŽG’ìö–ÂTRANSF®9ORM‘ÕX­VERSION“«101Ž €n ý•@PÂ395.– üT‘ÿ -«ransform‘"v®9ersion.“«Declared–˜in“Ètransfor.web«.‘:[¬LDF‘T2002.09.29.«]Ž‘T…TO‘˜ DO:“P¸ãossible“BUG!!‘:Ac-ޤ tually‘ÿ*ª,‘©qthe–˜žproblem“that“oGccurred“maš¸ãy“just“ha˜v˜e“to“do“c˜hoGosing“the“direction“of“rotation.‘;£I'v˜e“c˜hanged“theŽ¡place–UUwhere“the“problem“oGccurred,“so“I'll“ha•¸ãv“e–UUto“write“a“routine“to“test“this.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +«ransformŽ‘AÈÓÏr‘ÿ}'otateŽ‘\8«(ÂconstŽ‘*¢P®9athŽ‘:[«&Ž‘AØy±pŽ‘Fày;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏangleŽ‘Qã«=‘Ç180ŽŽ‘Ç);ŽŽŽŒ‹f®c Šn ý‘ì«102–ÂTRANSF®9ORM‘ÕX­VERSION’ìö–3DLDFPRÃŽG“·x«395Ž €n ý•@PÂ395.– üT‘ÿ +«ransform‘"v®9ersion.“«Declared–˜in“Ètransfor.web«.‘:[¬LDF‘T2002.09.29.«]Ž‘T…TO‘˜ DO:“P¸ãossible“BUG!!‘:Ac-ޤ 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-«[¬LDF‘T2003.05.02.«]Ž‘YËSChanged–mname“of“this“function“from“Ïr–ÿ}'otate‘‰ffŽ‘®ar“oundŽ‘@„ü«(›ª®)“to“Ïr‘ÿ}'otateŽ‘‡««(˜).‘»This“function“no¸ãwŽ¡o•¸ãv“erloads‘UUÏr‘ÿ}'otateޑē«(‘ª®)–UUwith“three“ÂrealŽ‘ƒ«argumen¸ãts.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«De ne‘UUÂPictureŽ‘,F·«functions‘@­219“·i‘Ç«+·ޤ ‘ +·gŽŽŽŒ‹gºÏ Šn ý‘ì·x«396–­3DLDFPRÃŽG’6ÂPICTURE‘ÕX­VERSION“«103Ž €n ý•@PÂ396.– üPicture‘ÕTv®9ersion.“«[¬LDF‘T2002.10.20.«]Ž‘Zˆ6ÏangleŽ‘uÞ«is–UUin“degrees.Ž©N9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¤ ‘ +«[¬LDF‘T2003.05.02.«]Ž‘YËSChanged–mname“of“this“function“from“Ïr–ÿ}'otate‘‰ffŽ‘®ar“oundŽ‘@„ü«(›ª®)“to“Ïr‘ÿ}'otateŽ‘‡««(˜).‘»This“function“no¸ãwŽ¡o•¸ãv“erloads‘UUÏr‘ÿ}'otateޑē«(‘ª®)–UUwith“three“ÂrealŽ‘ƒ«argumen¸ãts.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«De ne‘UUÂPictureŽ‘,F·«functions‘@­219“·i‘Ç«+·ޤ ‘ ÂT‘ÿ «ransformŽ‘AÈÓPictureŽ‘hdä«::‘Ïr‘ÿ}'otateŽ‘oB«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]Ïp0Ž‘Pø±;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒÏp1Ž‘R¢Å±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏangleŽ‘NHË«)Ž¡‘ ·fŽ¡‘ÂT‘ÿ «ransformŽ‘KÈÔ±tŽ‘OeF«;ŽŸ‘±tŽ‘œt:Ïr‘ÿ}'otateŽ‘o>«(Ïp0Ž‘ À±;‘ª¨Ïp1Ž‘ Áh±;‘ª¨ÏangleŽ‘jû«);Ž¡‘Ïtr‘ÿ}'ansformŽ‘Bz[·«=ŽŽ‘R’±tŽ‘U¥«;Ž¡‘ÂreturnŽ‘7æ¼±tŽ‘;ƒ.«;Ž¡‘ -·gŽŸÂ397.– üPro‘£Žjection.“«[¬LDF‘T2002.10.23.«]Ž‘\E™F‘ÿ*ªor–¸stš¸ãylistic“reasons,‘‚and“for“the“sak˜e“of“clean“programming,‘‚IŽ¡bGeliev¸ãe–_$that“the“programmer“who“uses“Ïpr–ÿ}'oje“ctŽ‘"Ö2«(›ª®)“should“ensure“that“Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘J«(˜)“has“bGeen“in•¸ãv“ok“edŽ¡ rst.‘Ä7Ho•¸ãw“ev“er,‘w®Ïtr‘ÿ}'ansformŽ‘2›¿«is›pÐc“hec“k“ed˜in˜Ïpr–ÿ}'oje“ctŽ‘!çÞ«(–ª®)˜and˜Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘I¯«(“)˜is˜in•¸ãv“ok“ed,–w®if˜required,“so˜in•¸ãv“okingŽ¡Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª®)–UUexplicitly“bšGeforehand“is“not“strictly“sp˜eaking“necessary‘ÿ*ª.ަŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +·gŽŸÂ397.– üPro‘£Žjection.“«[¬LDF‘T2002.10.23.«]Ž‘\E™F‘ÿ*ªor–¸stš¸ãylistic“reasons,‘‚and“for“the“sak˜e“of“clean“programming,‘‚IŽ¡bGeliev¸ãe–_$that“the“programmer“who“uses“Ïpr–ÿ}'oje“ctŽ‘"Ö2«(›ª®)“should“ensure“that“Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘J«(˜)“has“bGeen“in•¸ãv“ok“edŽ¡ rst.‘Ä7Ho•¸ãw“ev“er,‘w®Ïtr‘ÿ}'ansformŽ‘2›¿«is›pÐc“hec“k“ed˜in˜Ïpr–ÿ}'oje“ctŽ‘!çÞ«(–ª®)˜and˜Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘I¯«(“)˜is˜in•¸ãv“ok“ed,–w®if˜required,“so˜in•¸ãv“okingŽ¡Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª®)–UUexplicitly“bšGeforehand“is“not“strictly“sp˜eaking“necessary‘ÿ*ª.ަŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.09.09.«]Ž‘XmThe–º3new“vš¸ãersion“no˜w“almost“w˜orks“Added“division“of“Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®c“o“or“dinatesŽ‘d*y«b˜y“the“v‘ÿqÇalueŽ¡calculated–Ø6for“±wŽ‘ EØ«.›úiHo•¸ãw“ev“er,‘øíit–Ø6doGesn't“w¸ãork“when“I‘Øuse“Ïhex‘‰ffŽ‘®p‘ÿ}'attern1Ž‘;¥~«(‘ª®).˜Find“out“wh¸ãy“not!!˜TO‘ØDO:“AddŽ¡routine–UUfor“calculating“±zŽ‘ls«.‘qÇThen“I“can“add“sorting“routine“in“ÂPictureŽ‘)ñf«::‘ÏoutputŽ‘D«(‘ª®).Ž¡‘ [¬LDF‘T2002.09.14.«]Ž‘Y I‘m"bGeliev•¸ãe›m(I'v“e˜gotten˜the˜new˜v“ersion˜to˜w“ork˜no“w.‘¹ALOOK–m"UP:˜Do˜I“need˜to˜divide˜theŽ¡deriv•¸ãed‘]ï±zŽ‘ Òü«v‘ÿqÇalue›]ïb“y˜±wŽ‘ Ë‘«?–‹–I‘]ídon't˜think˜it's˜necessary‘ÿ*ª.“Since˜the˜±zŽ‘ Òü«v‘ÿqÇalues˜of˜all˜of˜the˜ÂP•®9oin“tsŽ‘&ßb«w¸ãould˜bGe˜dividedŽ¡bš¸ãy–§·the“same“amoun˜t,‘¼Otheir“relativ˜e“pGositions“w˜ould“remain“the“same,‘¼Osince“only“the“relationship“\closer“orŽ¡further›UUa•¸ãw“a“y"˜matters,˜not˜the˜exact˜amoun“ts.Ž¡‘ @@ -1469,22 +1499,22 @@ «oQÇcusŽ‘#·Œ«argumenš¸ãt–a to“this“function.‘•(Default“is“Ïdefault‘‰ffŽ‘®fo‘ÿ}'cusŽ‘;?«,‘dbut“it“w˜as“necessaryŽ¡to–*write“a“dummš¸ãy“v˜ersion“of“this“function“in“order“to“mak˜e“this“w˜ork,‘3bšGecause“Ïdefault‘‰ffŽ‘®fo‘ÿ}'cusŽ‘>3«do˜esn't“exist“atŽ¡the–UUtime“that“this“declaration“is“compiled.Ž¡‘ [¬LDF‘T2002.09.18.«]Ž‘X*Changed–aDname“of“this“function“from“Ïp–ÿ}'ersp‘‰ffŽ‘®tr“ansformŽ‘H`k«(‘ª®)“to“Ïpr–ÿ}'oje“ctŽ‘#9–«and“added“ÂT‘ÿ «ransformŽŽ¡«argumen¸ãt.Ž¡‘ -[¬LDF‘T2003.05.09.«]Ž‘YøÐBUG‘E¬FIX:–EêAdded“loGop,‘‚setting“all“elemenš¸ãts“of“Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®c“o“or“dinatesŽ‘gAç«to“0.‘C†This“w˜asŽ¡done–·in“the“conditionally“compiled“coGde“for“the“DEC›·compiler,‘ÏŽbut“I˜forgot“to“do“it“for“GCC˜when“addedŽ¡the–UUdeclaration“of“Ïtemp‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘QQ%«and“resized“it.‘qÇIt“tošGok“me“ab˜out“6{7“hours“to“ nd“this“bug!Ž©ŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽŸ398.‘ üF‘ÿ -«oQÇcus‘ÕTargumen®9t.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.07.11.«]Ž‘Y;Added–UUdefaults“for“Ïpr‘ÿ}'ojŽ‘žm«and“ÏfactorŽ‘Y3«.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ +[¬LDF‘T2003.05.09.«]Ž‘YøÐBUG‘E¬FIX:–EêAdded“loGop,‘‚setting“all“elemenš¸ãts“of“Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®c“o“or“dinatesŽ‘gAç«to“0.‘C†This“w˜asŽ¡done–·in“the“conditionally“compiled“coGde“for“the“DEC›·compiler,‘ÏŽbut“I˜forgot“to“do“it“for“GCC˜when“addedŽ¡the–UUdeclaration“of“Ïtemp‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘QQ%«and“resized“it.‘qÇIt“tošGok“me“ab˜out“6{7“hours“to“ nd“this“bug!Ž©ŸüÈ„`ÕÁGŽŽŸÂ398.‘ üF‘ÿ +«oQÇcus‘ÕTargumen®9t.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.07.11.«]Ž‘Y;Added–UUdefaults“for“Ïpr‘ÿ}'ojŽ‘žm«and“ÏfactorŽ‘Y3«.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ Âb•QÇo“olŽ‘#¡gÏpr–ÿ}'oje“ctŽ‘Bu«(ÂconstŽ‘*¢F‘ÿ -«oQÇcusŽ‘>uC«&Ž‘FuC«&Ž‘FuC«&Ž‘F‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +0ÁŸÿ®+‘ÿ+ŽŽ‘÷á«)‘·fŽ¡‘2Ïtemp‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘|¦€«[±iŽ‘qô«]‘Ç+=ŽŽ‘lÏworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘b0j«[±jŽ›°Ä«]–8à·“±fŽ‘1Æ:Ïget‘‰ffŽ–®tr‘ÿ}'ansform‘‰ffŽ“elementŽ‘a=Å«(±jŽ˜;‘ª¨iŽ‘œ«);Ž¡‘(·gŽ¡‘gŽŽŽŒ‹i×è Šn ý‘ì·x«400›­3DLDFPR•ÃŽG’ùK”P‘ÿJªARALLEL‘ÕXPR“OJECTION˜«105Ž €n ý•@PÂ400.‘ üP®9arallel‘ÕTpro‘£Žjection.ޤ «[¬LDF‘T2002.11.06.«]Ž‘OLÚTO‘™ãDO:–™õAdd“a“w•¸ãa“y–™õof“pro‘Ž8jecting“on¸ãto“a“plane“other“than“the“x-y“plane.‘?§It's“pGossible“toŽ¡ac•¸ãheiv“e–Jqthe“same“e ect“bš¸ãy“rotating“the“ÂPictureŽ‘,0ï«bGefore“outputting“it,‘LŸbut“it“w˜ould“bGe“nice“to“do“so“withoutŽ¡c¸ãhanging–UUthe“ÂPictureŽ‘(ñb«.Ž¡‘ +The–UUx“and“y“pro‘Ž8jectivš¸ãe“coGordinates“are“simply“tak˜en“from“the“w˜orld“coGordinates.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.10.23.«]Ž‘Y;Added–UUthis“section.Ž¡‘ -[¬LDF‘T2002.12.18.«]Ž‘Y;Changed‘UUÝPARALLELŽ‘10ú«to‘UUÝPARALLEL_X_YŽ›F0î«and–UUadded“ÝPARALLEL_X_ZŽ˜«and“ÝPARALLEL_Z_YŽ‘BÛ™«.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ +[¬LDF‘T2002.12.18.«]Ž‘Y;Changed‘UUÝPARALLELŽ‘10ú«to‘UUÝPARALLEL_X_YŽ›F0î«and–UUadded“ÝPARALLEL_X_ZŽ˜«and“ÝPARALLEL_Z_YŽ‘BÛ™«.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ ÂifŽ‘®9«(Ïpr‘ÿ}'ojŽ‘ZC·‘f€ÂPro‘£ŽjectionsŽ‘?2ä«::Ž‘EÁ"ÝPARALLEL_X_YŽ—ˆ&p·_‘ß Ïpr‘ÿ}'ojŽ›9M·‘f€ÂPro‘£ŽjectionsŽ‘?2ä«::Ž‘EÁ"ÝPARALLEL_X_ZŽ“·_‘ß Ïpr‘ÿ}'ojŽ˜·Ž¡‘(ÂPro‘£ŽjectionsŽ‘bÌh«::Ž‘iZ¦ÝPARALLEL_Z_YŽ’¨àê«)‘·fŽ¡‘ÂusingŽ‘2SˆnamespaceŽ‘k÷Pro‘£ŽjectionsŽ’¥Ãb«;Ž©‘ÂifŽ‘´ú«(ÏfactorŽ‘Êö·‘Ç«0Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘3ÅË·‘"Ý"ERROR!È ÝInÈ ÝPoint::prŽ‘læoject():\n"Ž’©fO·‘"Ý"factorÈ Ý==È Ý0.È ÝMultiŽ‘læplyingÈ ÝcoordinatesÈ ÝbŽ’Õª\ŽŽ¡‘2yÈ Ý0È Ýdoesn'tÈ ÝmakeÈ ÝsenŽ’šÿÉse.È Ý"Ž’¸:·‘ÇÝ"UsingÈ Ý1È Ýinstead.\n\Ž‘kÆÜn"Ž‘y”V·‘ÇÏ ushŽ‘€«;Ž¡‘ÏfactorŽ‘;Êù«=‘Ç1Ž‘Ç;Ž¡‘·gަ‘ÂunsignedŽ‘D7shortŽ‘b³ÏhorizontalŽ’ŽÞ«;Ž¡‘ÂunsignedŽ‘D7shortŽ‘b³Ïvertic‘ÿ}'alŽ’ƒª«;ަ‘ÂifŽ‘´ú«(Ïpr‘ÿ}'ojŽ‘ºÛ·‘ÇÝPARALLEL_X_YŽ‘D†<·_‘8àÏpr‘ÿ}'ojޑ󻷑ÇÝPARALLEL_X_ZŽ‘BM\«)‘±=·‘ÿý«[¬LDF‘T2002.12.18.«]Ž‘T7Explain‘UUthis!!‘o·±=Ž¡‘ÏhorizontalŽ‘C£}«=‘Ç0Ž‘Ç;Ž¡‘ÂelseŽ‘+ØáÏhorizontalŽ‘[|\«=‘Ç2Ž‘Ç;Ž¡‘ÂifŽ‘´ú«(Ïpr‘ÿ}'ojŽ‘ºÛ·‘ÇÝPARALLEL_X_YŽ‘D†<·_‘8àÏpr‘ÿ}'ojޑ󻷑ÇÝPARALLEL_Z_YŽ‘BM\«)‘Ïvertic‘ÿ}'alŽ‘(â«=‘Ç1Ž‘Ç;Ž¡‘ÂelseŽ‘+ØáÏvertic‘ÿ}'alŽ‘Oºð«=‘Ç2Ž‘Ç;Ž¡‘Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®c“o“or“dinatesŽ‘r¶«[0Ž‘]–Ç=“Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘OÛ«[ÏhorizontalŽ‘,Üc«]–8à·“ÏfactorŽ‘<¾«;Ž¡‘Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®c“o“or“dinatesŽ‘r¶«[1Ž‘]–Ç=“Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘OÛ«[Ïvertic‘ÿ}'alŽ‘!÷«]–8à·“ÏfactorŽ‘<¾«;Ž¡‘Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®c“o“or“dinatesŽ‘r¶«[2Ž‘]–Ç=“0Ž‘Ç;Ž¡‘Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®c“o“or“dinatesŽ‘r¶«[3Ž‘]–Ç=“1Ž‘Ç;Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘6Ck·‘ê1Ý"projective_coordinaŽ‘méõtes:È Ý("Ž’˜y·‘ê1Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®c“o“or“dinatesŽ‘c D«[0Ž‘]–ê1·“Ý",È Ý"Ž‘Z¾·Ž¡‘2Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®c“o“or“dinatesŽ’¶«[1Ž›]–B{·“Ý",È Ý"Ž‘ R·“Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®c“o“or“dinatesŽ‘cøŽ«[2Ž˜]“·“Ý",È Ý"Ž‘ R·Ž¡‘2Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®c“o“or“dinatesŽ’¶«[3Ž‘]–Ç·“Ý")"Ž‘Ô·“Ïend‘‚ØlŽ›ò·“Ïend‘‚ØlŽ˜·“Ï ushŽ‘€«;Ž¡‘·gŽ¡‘ÂreturnŽ‘7æ¼ÏtrueŽ‘J«T«;Ž¡‘ -·gŽŽŽŒ‹iØã Šn ý‘ì·x«401›­3DLDFPR•ÃŽG’éy¾PERSPECTIVE‘ÕXPR“OJECTION˜«105Ž €n ý•@PÂ401.› üP•®9erspQÇectiv“e‘ÛÞpro‘£Žjection.˜«!!›ªKLUDGE:–9¡See“bGelo¸ãw.˜[¬LDF‘T2002.11.08.«]Ž‘W 0TO‘9fDO:“Get“n•¸ãum“bGers‘9¡toޤ output–UUusing“Ïonly‘7Ò«decimal“notation!Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·Ž¡‘ +·gŽŽŽŒ‹jàÉ Šn ý‘ì«106›­PERSPECTIVE‘ÕXPR•ÃŽOJECTION’éy¾3DLDFPR“G˜·x«401Ž €n ý•@PÂ401.› üP•®9erspQÇectiv“e‘ÛÞpro‘£Žjection.˜«!!›ªKLUDGE:–9¡See“bGelo¸ãw.˜[¬LDF‘T2002.11.08.«]Ž‘W 0TO‘9fDO:“Get“n•¸ãum“bGers‘9¡toޤ output–UUusing“Ïonly‘7Ò«decimal“notation!Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·Ž¡‘ ÂifŽ‘´ù«(Ïtemp‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘J¦{«[2Ž‘]–8à+“±fŽ‘1Æ:Ïget‘‰ffŽ‘®distanc‘ÿ}'eŽ‘4y¹«(‘ª¨)–Ç·“«0Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘)|À·‘ÇÝ"ERROR!È ÝInÈ ÝPoint::prŽ‘kÆÜoject():\n"Ž’¨Ô;·‘ÇÝ"temp_coordinates[2]Ž‘kÆÜÈ Ý==È Ý"Ž’‰TM·‘ÇÏtemp‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Mm“«[2Ž‘]‘Ç·Ž¡‘(Ý",È Ýf.distanceÈ Ý==È Ý"Ž’‰Ï®·‘Éx±fŽ‘Â^:Ïget‘‰ffŽ‘®distanc‘ÿ}'eŽ‘4y¹«(‘ª¨)–Éx·“Ïend‘‚ØlŽ‘„²·“Ý"SumÈ Ý==È Ý0.È ÝCan'tÈ ÝperŽ‘kÉ“ÏepsŽ‘èÚ«)“?“Ïsave‘‰ffŽ‘®zŽ‘!væ«:“0Ž‘Ç;Ž¡‘ -ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"PerspectiveÈ ÝcoordinŽ‘kÆÜates:\n("Ž’›)«;Ž¡‘ÂforŽ‘%舫(±iŽ‘9 «=‘Ç0Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«4Ž“;‘ÿý±iŽ‘ññŸÿ®+‘ÿ+ŽŽ‘¹«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÏpr–ÿ}'oje“ctive‘‰ffŽ‘®c“o“or“dinatesŽ‘a}+«[±iŽ‘qô«];Ž¡‘ÂifŽ‘)´û«(±iŽ‘9 <‘Ç«3Ž‘Ç)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ",È Ý"Ž‘Mt«;Ž¡‘·gŽ¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ")\n"Ž‘ T‰·‘ÇÏ ushŽ‘€«;ŽŽŽŒ‹jåÈ Šn ý‘ì«106›­PERSPECTIVE‘ÕXPR•ÃŽOJECTION’éy¾3DLDFPR“G˜·x«401Ž €n ý•@P‘ +ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"PerspectiveÈ ÝcoordinŽ‘kÆÜates:\n("Ž’›)«;Ž¡‘ÂforŽ‘%舫(±iŽ‘9 «=‘Ç0Ž–Ç;‘ÿý±iŽ‘ 9 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·fŽ¡‘ÂreturnŽ‘7æ¼Ïpr–ÿ}'oje“ctŽ‘V]Ê«(Ïdefault‘‰ffŽ‘®fo‘ÿ}'cusŽ‘7Ýþ±;‘ª¨Ïpr‘ÿ}'ojŽ‘žk±;‘ª¨ÏfactorŽ‘®†«);Ž¡‘ ·gަÂ404.– üApplying‘ étransformations.“«This–¸rv¸ãersion“applies“the“transformation“stored“in“ÂP•®9oin“tŽ‘R¾«::‘Ïtr‘ÿ}'ansformŽ‘,³E«.Ž¡!!‘]Add–Ra“vš¸ãersion“that“applies“a“ÂT‘ÿ «ransformŽ‘9§«supplied“as“an“argumen˜t!!‘][¬LDF‘T2002.12.08.«]Ž‘R WBUG‘QÓFIX:“See“bGelo˜w.ŽŸ·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ -Âv®9oidŽ‘"ýÙÏapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘i¸«(‘ª®);ŽŽŽŒ‹kû› Šn ý‘ì·x«405‘­3DLDFPR•ÃŽG’Ú“¤APPL›ÿJªYING‘ÕXTRANSF“ORMA˜TIONS‘«107Ž €n ý•@PÂ405.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ +Âv®9oidŽ‘"ýÙÏapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘i¸«(‘ª®);ŽŽŽŒ‹lV Šn ý‘ì«108‘­APPL–ÿJªYING‘ÕXTRANSFšÃŽORMA“TIONS’Ú“¤3DLDFPR˜G‘·x«405Ž €n ý•@PÂ405.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙP•®9oin“tŽ‘?˜%«::‘Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Gã«(‘ª®)Ž¡‘ 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Ý"Ž‘Œ·“±vŽ˜«[2Ž‘]“·“Ý")\n"Ž‘ T‰·“Ï ushŽ‘€«;Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïtr‘ÿ}'ansformŽ‘I³D±:ÏshowŽ‘Šÿ«(Ý"TransformÈ ÝafterÈ ÝappŽ‘hÿÄly_transform"Ž’­Æ«);Ž¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"on_free_storeÈ Ý==È Ý"Ž‘iÔ_·‘ÇÏon‘‰ffŽ›®fr–ÿ}'e“e‘‰ffŽ˜stor“eŽ‘=3"·‘ÇÝ"\n"Ž‘Mt«;Ž¡‘·gŽ¡‘ gŽŸÂ433.‘ üSho®9w‘ÕTtransform.ަ·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ -Âv®9oidŽ‘"ýÙÏshow‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘gSÅ«(ÂstringŽ‘!%MÏtextŽ‘5D1«=‘ÇÝ""Ž‘ Íz«);ŽŽŽŒ‹r_´ Šn ý‘ì«114›­SHO•ÃŽW‘ÕXTRANSF“ORM’ ï63DLDFPR“G˜·x«434Ž €n ý•@PÂ434.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ +Âv®9oidŽ‘"ýÙÏshow‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘gSÅ«(ÂstringŽ‘!%MÏtextŽ‘5D1«=‘ÇÝ""Ž‘ Íz«);ŽŽŽŒ‹se– Šn ý‘ì·x«434›­3DLDFPR•ÃŽG’ ï6SHO“W‘ÕXTRANSF“ORM˜«115Ž €n ý•@PÂ434.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙP•®9oin“tŽ‘?˜%«::‘Ïshow‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘EUð«(ÂstringŽ‘!%MÏtextŽ‘2}«)Ž¡‘ ·fŽ¡‘ÂifŽ‘´ú«(Ïtextޑ䷑ÇÝ""Ž‘ Íz«)‘ÏtextŽ‘ä«=‘ÇÝ"transform:"Ž‘BM\«;Ž¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÏtextŽ‘åü·‘ÇÏend‘‚ØlŽ‘¸Ú«;Ž¡‘Ïtr‘ÿ}'ansformŽ‘?³C±:ÏshowŽ‘Šÿ«(‘ª¨);Ž¡‘ -·gޤÂ435.‘ üOutputting.Ž¡436.– üOutput‘ ropQÇerator.“«[¬LDF‘T2002.10.26.«]Ž‘[8ÕThis–ôfunction“is“used“in“ÂP®9athŽ‘—\«::‘ÏoutputŽ‘D«(‘ª®)“for“writing“the“xޤ and–‚Iy“v‘ÿqÇalues“of“the“Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®c“o“or“dinatesŽ‘gº¥«to“Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘3Âå«.‘ø¤All“coGde“using“this“function“m¸ãust“ensure“thatŽ¡Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(›ª®)–UUand“Ïpr–ÿ}'oje“ctŽ‘!Ìc«(˜)“are“called“Ï rst‘òØ«!ŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.09.16.«]Ž‘Y;Remo•¸ãv“ed–UUcalls“to“Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Iu4«(›ª®)“and“Ïpr–ÿ}'oje“ctŽ‘!Ìc«(˜).ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h›ª¨«Declare–UUnon-mem¸ãbGer“functions“for“ÂP•®9oin“tsŽ‘'¸Ý­436˜·i‘ÇŽ¡‘ -Ïostr–ÿ}'e“amŽ‘/«&‘8àÂopQÇeratorŽ‘-Ï•·Ž‘7Ï–«(Ïostr–ÿ}'e“amŽ‘%«&‘8à±oŽ‘Ä;‘ª¨ÂP•®9oin“tŽ‘ šE«&Ž‘(ac±pŽ‘-ic«);ޤ ­See–ÕXalso“sections“490“and“511.Ž¡This–ÕXco:«(‘ª®)–Hêis“a“pure“ÂvirtualŽ‘.ÊR«function“in“ÂShapQÇeŽ‘%4÷«.‘ L…It's“called“b¸ãyŽ¡ÂPictureŽ‘&œ«::‘ÏoutputŽ‘D«(‘ª®).‘E Eacš¸ãh–Ïof“the“ÂShapQÇeŽ‘$ŠA«pGoin˜ters“on“the“Âv®9ectorŽ‘%H|Ïshap‘ÿ}'esŽ‘E«in“the“ÂPictureŽ‘+:A«m˜ust“bGe“\extracted".Ž¡F‘ÿ*ªor‘˜ýÂP•®9oin“tsŽ‘$¼«,‘éæthis–˜ýmeans“pro‘Ž8jecting“the“ÂP•®9oin“tŽ‘$ÌB«using“the“ÂF‘ÿ «oQÇcusŽ‘&'F«passed“to“Ïextr‘ÿ}'actŽ‘#[l«(‘ª®)“as“an“argumen¸ãt.‘<¿IfŽ¡Ïpr–ÿ}'oje“ctŽ‘w«(›ª®)–UUsucceeds,“Ïextr‘ÿ}'actŽ‘"Ä«(˜)“returns“a“Âv®9ectorŽ‘&Tò«conš¸ãtaining“ÏthisŽ‘A «.‘qÇOtherwise,“it“returns“an“empt˜y“Âv®9ectorŽ‘"ÿ«.Ž¡‘ -[¬LDF‘T2002.10.26.«]Ž‘YKNA‘˜WÂv®9ectorŽ‘&Û«is–˜hreturned“rather“than“ÏthisŽ‘†«bš¸ãy“itself“bGecause“it“ma˜y“sometimes“bGe“useful“toŽ¡return– a“collection“of“ÂShapQÇeŽ‘%(«pGoinš¸ãters“rather“than“a“single“one.‘_XThis“w˜as“formerly“the“case“for“ÂCubQÇoidŽ‘(m£«,‘)butŽ¡at–UUthe“presenš¸ãt“time,“no“v˜ersion“of“Ïextr‘ÿ}'actŽ‘"Ä«(‘ª®)“returns“a“Âv®9ectorŽ‘&Tò«with“more“than“one“pGoin˜ter“to“ÂShapQÇeŽ‘"Ab«.ŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +[¬LDF‘T2002.10.26.«]Ž‘YKNA‘˜WÂv®9ectorŽ‘&Û«is–˜hreturned“rather“than“ÏthisŽ‘†«bš¸ãy“itself“bGecause“it“ma˜y“sometimes“bGe“useful“toŽ¡return– a“collection“of“ÂShapQÇeŽ‘%(«pGoinš¸ãters“rather“than“a“single“one.‘_XThis“w˜as“formerly“the“case“for“ÂCubQÇoidŽ‘(m£«,‘)butŽ¡at–UUthe“presenš¸ãt“time,“no“v˜ersion“of“Ïextr‘ÿ}'actŽ‘"Ä«(‘ª®)“returns“a“Âv®9ectorŽ‘&Tò«with“more“than“one“pGoin˜ter“to“ÂShapQÇeŽ‘"Ab«.ŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.09.17.«]Ž‘Y WAdded‘WqÂconstŽ‘!„/F‘ÿ «oQÇcusŽ‘AÐì«&Ž‘I˜ ±fŽ‘Rèa«argumenš¸ãt–Wqand“error“handling“coGde.‘xNo˜w,‘W÷if“the“ÂP•®9oin“tŽ‘"I*«cannotŽ¡bGe–fÝpro›Ž8jected“on¸ãto“the“pro˜jection“plane“using“the“ÂF‘ÿ -«oQÇcusŽ‘'ñfŽ‘-»ì«,‘ë>it“is“not“put“on¸ãto“the“Âv®9ectorŽ‘%%·hÂShapQÇeŽ‘$Rê·Ž‘)RëiŽ¡ÂPictureŽ‘&œ«::‘ÏelementsŽ‘'åÿ«,–UUand“consequenš¸ãtly“nev˜er“reac˜hes“ÂPictureŽ‘)ñf«::‘ÏoutputŽ›D«(‘ª®)“and“ÂP•®9oin“tŽ‘ï¡«::‘ÏoutputŽ˜«(‘ª®).ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ +«oQÇcusŽ‘'ñfŽ‘-»ì«,‘ë>it“is“not“put“on¸ãto“the“Âv®9ectorŽ‘%%·hÂShapQÇeŽ‘$Rê·Ž‘)RëiŽ¡ÂPictureŽ‘&œ«::‘ÏelementsŽ‘'åÿ«,–UUand“consequenš¸ãtly“nev˜er“reac˜hes“ÂPictureŽ‘)ñf«::‘ÏoutputŽ›D«(‘ª®)“and“ÂP•®9oin“tŽ‘ï¡«::‘ÏoutputŽ˜«(‘ª®).ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ Âv®9ectorŽ‘)ªI·hÂShapQÇeŽ‘"Ab·Ž‘'Aci‘UUÏextr‘ÿ}'actŽ‘"Ä«(ÂconstŽ‘*¢F‘ÿ -«oQÇcusŽ‘>uC«&Ž‘FuC«&Ž‘FuC«&Ž‘F.\n"Ž’üM·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½±vŽ‘Gz«;Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘6¬e·‘S+Ý"world_coordinates:È Ž‘nRï Ý("Ž’˜ìm·‘S+Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Rg)«[0Ž‘]–S+·“Ý",È Ý"Ž‘ ,²·Ž¡‘2Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘«[1Ž›]–£Ø·“Ý",È Ý"Ž‘Î ·“Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘P·Ö«[2Ž˜]“·“Ý",È Ý"Ž‘Î ·“Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘P·Ö«[3Ž˜]“·Ž¡‘2Ý")\n"Ž‘R…·‘A'Ý"projective_coordinaŽ‘n@ëtes:È Ý("Ž’˜Èe·‘A'Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®c“o“or“dinatesŽ‘c÷:«[0Ž‘]‘A'·Ž¡‘2Ý",È Ý"Ž‘KÙ®·‘SMÏpr–ÿ}'oje“ctive‘‰ffŽ‘®c“o“or“dinatesŽ›c `«[1Ž‘]–SM·“Ý",È Ý"Ž‘,ö·“Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®c“o“or“dinatesŽ˜«[2Ž‘]“·“Ý",È Ý"Ž‘,ö·Ž¡‘2Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®c“o“or“dinatesŽ’¶«[3Ž‘]–Ç·“Ý")\n"Ž‘q«;Ž¡‘·gŽ¡‘±vŽ‘4¿:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÏthisŽ‘ë¶«);Ž¡‘ÂreturnŽ‘7æ¼±vŽ‘=y«;Ž¡‘ @@ -1630,7 +1660,7 @@ ÂvirtualŽ‘/ÔinlineŽ‘OconstŽ‘mB¾v‘ÿ\ralarra®9yŽ’–œÿ·hÂrealŽ‘]Ù·i‘UUÏget‘‰ffŽ‘®extr‘ÿ}'emesŽ‘:™µ«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ’‹ë «;Ž¡‘ ·gŽŸÂ445.› üGet–ÕTminim®9um“z.˜«[¬LDF‘T2002.09.17.«]Ž‘Zˆ6Added–UUthis“function.ަ·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ -ÂvirtualŽ‘/ÔrealŽ‘FAÏget‘‰ffŽ–®minimum‘‰ffŽ“zŽ’‰žÚ«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹u‡ý Šn ý‘ì·x«446›­3DLDFPRÃŽG’´GET–ÕXMINIMUM“Z˜«117Ž €n ý•@PÂ446.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ +ÂvirtualŽ‘/ÔrealŽ‘FAÏget‘‰ffŽ–®minimum‘‰ffŽ“zŽ’‰žÚ«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹vL Šn ý‘ì«118›­GET–ÕXMINIMUM“Z’´3DLDFPRÃŽG˜·x«446Ž €n ý•@PÂ446.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ ÂrealŽ‘ ³/P•®9oin“tŽ‘=M{«::‘Ïget‘‰ffŽ–®minimum‘‰ffŽ“zŽ‘D]Ü«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝPoint::getŽ‘kÆÜ_minimum_z()"Ž’³T5·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"minimum_zÈ Ý==È Ý"Ž‘TÔk·‘ÇÏpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘VËi«[4Ž‘]–Ç·“Ïend‘‚ØlŽ‘ò·“Ï ushŽ‘€«;Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝPoint::get_Ž‘kÆÜminimum_z()"Ž’®8·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘7æ¼Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ’‹ë «[4Ž‘];Ž¡‘ ·gŽŸÂ447.› üGet–ÕTmaxim®9um“z.˜«[¬LDF‘T2002.09.17.«]Ž‘Zˆ6Added–UUthis“function.ަ·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ @@ -1642,10 +1672,10 @@ ÂrealŽ‘ ³/P•®9oin“tŽ‘=M{«::‘Ïget‘‰ffŽ–®me‘ÿ}'an‘‰ffŽ“zŽ‘1¶«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7漫((Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘TQ«[4Ž›]–8à+“Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘V=1«[5Ž˜])±=«2Ž˜);Ž¡‘ ·gŽŸÂ451.– üSet‘írextremes.“«This–Héfunction“sets“\extreme"“v‘ÿqÇalues“for“the“x,–…Îy‘ÿ*ª,“and–Héz-coGordinates.‘LƒThis“is,‘…ÎofŽ¡course,›ßtrivial–Ñfor“ÂP•®9oin“tsŽ‘#ç«,˜bGecause“they“only“ha•¸ãv“e–Ñone“x,˜y“and“z-coGordinate.‘¼zSo“the“maxima“and“minimaŽ¡for–UUeacš¸ãh“coGordinate“are“alw˜a˜ys“the“same.Ž¡‘ -[¬LDF‘T2002.10.20.«]Ž‘Z¸ÎThe–èprogrammer“who“uses“Ïset‘‰ffŽ‘®extr‘ÿ}'emesŽ‘;Çq«(›ª®)“m¸ãust“ensure“that“Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘K%Ç«(˜)“andŽ¡Ïpr–ÿ}'oje“ctŽ‘w«(›ª®)–UUare“in•¸ãv“ok“ed–UUbGefore“Ïset‘‰ffŽ‘®extr‘ÿ}'emesŽ‘:Þ«(˜)!ŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +[¬LDF‘T2002.10.20.«]Ž‘Z¸ÎThe–èprogrammer“who“uses“Ïset‘‰ffŽ‘®extr‘ÿ}'emesŽ‘;Çq«(›ª®)“m¸ãust“ensure“that“Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘K%Ç«(˜)“andŽ¡Ïpr–ÿ}'oje“ctŽ‘w«(›ª®)–UUare“in•¸ãv“ok“ed–UUbGefore“Ïset‘‰ffŽ‘®extr‘ÿ}'emesŽ‘:Þ«(˜)!ŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.09.17.«]Ž‘Y;Added–UUthis“function.Ž¡‘ -[¬LDF‘T2002.09.18.«]Ž‘Y;Changed–UUthe“name“of“this“function“from“Ïset‘‰ffŽ–®minimum‘‰ffŽ“zŽ‘F0V«(›ª®)“to“Ïset‘‰ffŽ‘®extr‘ÿ}'emesŽ‘:Þ«(˜).ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ -ÂvirtualŽ‘/Ôb•QÇo“olŽ‘I/:Ïset‘‰ffŽ‘®extr‘ÿ}'emesŽ‘ðë(‘ª®);ŽŽŽŒ‹v“ü Šn ý‘ì«118–­SET‘ÕXEXTREMES’®3DLDFPRÃŽG“·x«452Ž €n ý•@PÂ452.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ +[¬LDF‘T2002.09.18.«]Ž‘Y;Changed–UUthe“name“of“this“function“from“Ïset‘‰ffŽ–®minimum‘‰ffŽ“zŽ‘F0V«(›ª®)“to“Ïset‘‰ffŽ‘®extr‘ÿ}'emesŽ‘:Þ«(˜).ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ +ÂvirtualŽ‘/Ôb•QÇo“olŽ‘I/:Ïset‘‰ffŽ‘®extr‘ÿ}'emesŽ‘ðë(‘ª®);ŽŽŽŒ‹w™K Šn ý‘ì·x«452–­3DLDFPRÃŽG’®SET‘ÕXEXTREMES“«119Ž €n ý•@PÂ452.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ Âb•QÇo“olŽ‘#¡gP•®9oin“tŽ‘@;³«::‘Ïset‘‰ffŽ‘®extr‘ÿ}'emesŽ‘7Á«(‘ª®)Ž¡‘ ·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝPoint::setŽ‘kÆÜ_extremes()"Ž’®8·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ÂforŽ‘%舫(Âin®9tŽ‘¤÷±iŽ‘Þ«=‘Ç0Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«4Ž“;‘ÿý±iŽ‘ññŸÿ®+‘ÿ+ŽŽ‘¹«)‘·fŽ¡‘ÂifŽ‘)´û«(Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®c“o“or“dinatesŽ‘^¶«[±iŽ‘qô«]–Ç·“ÝINVALID_REALŽ‘BM\«)‘·fŽ¡‘(Ïc‘ÿ}'errŽ‘=|·‘ÇÝ"ERROR!È ÝInÈ ÝPoint::seŽ‘kÆÜt_extremes():\n"Ž’Ã,·‘ÇÝ"projective_coordinaŽ‘kÆÜtes["Ž’‰TM·‘DZiŽ‘ $·‘ÇÝ"]"Ž‘Ô·Ž¡‘<Ý"È Ý==È ÝINVALID_REAL.\nŽ’¤ÿÊ"Ž’®&µ·‘`†Ý"SettingÈ ÝeveryÈ ÝelemeŽ‘l`JntÈ ÝinÈ Ýprojective_extŽ’Õ`remesÈ Ý"Ž’þç·Ž¡‘<Ý"toÈ ÝINVALID_REALÈ ÝandŽ’¤ÿÊÈ ÝreturningÈ Ýfalse.\n"Ž’M·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂforŽ‘9芫(Âin®9tŽ‘¤÷±jޑӫ=‘Ç0Ž–Ç;‘ÿý±jŽ‘ wÙ<‘Ç«6Ž“;‘ÿý±jŽ‘ 0ÁŸÿ®+‘ÿ+ŽŽ‘÷á«)‘Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘YQ«[±jŽ‘°Ä«]–Ç=“ÝINVALID_REALŽ‘BM\«;Ž¡‘(ÂreturnŽ‘Kæ¾ÏfalseŽ‘`–«;Ž¡‘·gŽ¡‘gŽ¡‘Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘hS«[0Ž›]–Ç=“Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®c“o“or“dinatesŽ‘a}+«[0Ž˜];‘±=·–ÿý«min‘UUx“·±=Ž¡‘Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘hS«[1Ž›]–Ç=“Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®c“o“or“dinatesŽ‘a}+«[0Ž˜];‘±=·–ÿý«max‘UUx“·±=Ž¡‘Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘hS«[2Ž›]–Ç=“Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®c“o“or“dinatesŽ‘a}+«[1Ž˜];‘±=·–ÿý«min‘UUy“·±=Ž¡‘Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘hS«[3Ž›]–Ç=“Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®c“o“or“dinatesŽ‘a}+«[1Ž˜];‘±=·–ÿý«max‘UUy“·±=Ž¡‘Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘hS«[4Ž›]–Ç=“Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®c“o“or“dinatesŽ‘a}+«[2Ž˜];‘±=·–ÿý«min‘UUz“·±=Ž¡‘Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘hS«[5Ž›]–Ç=“Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®c“o“or“dinatesŽ‘a}+«[2Ž˜];‘±=·–ÿý«max‘UUz“·±=Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝPoint::setŽ‘kÆÜ_extremes()"Ž’®8·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘7æ¼ÏtrueŽ‘J«T«;Ž¡‘ @@ -1660,73 +1690,73 @@ In–ÿÅall“three“of“these“cases,›âthe“ÂShapQÇesŽ‘)tÓ«that“are“furthest“from“the“ÂF‘ÿ «oQÇcusŽ‘"ôÖ«are“output“ rst,˜so“that“they“canŽ¡bGe›UUco•¸ãv“ered,˜if˜necessary‘ÿ*ª,˜b“y˜ÂShapQÇesŽ‘*ó«that˜are˜closer.Ž¡·Ž‘ «If‘–ÂSortingŽ‘)pà«::‘ÝNO_SORTŽ‘)Lí«is––passed“to“ÂPictureŽ‘)¢§«::‘ÏoutputŽ‘D«(‘ª®),‘VÏelementsŽ‘-ç«is“not“sorted,‘Vand“the“ÂShapQÇesŽ‘)‚u«are“outputŽ¡‘ -in–UUthe“order“in“whicš¸ãh“they“w˜ere“dra˜wn“or“ lled.ŽŽŽŒ‹w¢õ Šn ý‘ì·x«454›­3DLDFPRÃŽG’°–COMP‘ÿJªARE–ÕXMINIMUM“Z˜«119Ž €n ý•@PÂ454.‘ üCompare–ÕTminim®9um“z.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ© ‘ -«[¬LDF‘T2003.05.16.«]Ž‘Y;Added–UUthis“ÂclassŽ‘àQ«.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h›ª¨«De ne–UUcomparison“classes‘@­454˜·i‘Çަ‘ +in–UUthe“order“in“whicš¸ãh“they“w˜ere“dra˜wn“or“ lled.ŽŽŽŒ‹x¨ Šn ý‘ì«120›­COMP‘ÿJªARE–ÕXMINIMUM“Z’°–3DLDFPRÃŽG˜·x«454Ž €n ý•@PÂ454.‘ üCompare–ÕTminim®9um“z.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ© ‘ +«[¬LDF‘T2003.05.16.«]Ž‘Y;Added–UUthis“ÂclassŽ‘àQ«.ޤŸüÈ„`ÕÁGŽŽ¡·h›ª¨«De 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Ø(Ÿ±~ŽŽ‘Ø)Ïget‘‰ffŽ–®maximum‘‰ffŽ“zŽ‘VE¦«(˜);ަ‘·gަ‘ -g«;ŽŽŽŒ‹xµ Šn ý‘ì«120›­COMP‘ÿJªARE–ÕXMEAN“Z’™.3DLDFPRÃŽG˜·x«456Ž €n ý•@PÂ456.‘ üCompare–ÕTmean“z.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ© ‘ -«[¬LDF‘T2002.09.17.«]Ž‘Y;Added–UUthis“ÂclassŽ‘àQ«.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h›ª¨«De ne–UUcomparison“classes‘@­454˜·i‘Ç«+·ަ‘ +g«;ŽŽŽŒ‹yº$ Šn ý‘ì·x«456›­3DLDFPRÃŽG’™.COMP‘ÿJªARE–ÕXMEAN“Z˜«121Ž €n ý•@PÂ456.‘ üCompare–ÕTmean“z.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ© ‘ +«[¬LDF‘T2002.09.17.«]Ž‘Y;Added–UUthis“ÂclassŽ‘àQ«.ޤŸüÈ„`ÕÁGŽŽ¡·h›ª¨«De ne–UUcomparison“classes‘@­454˜·i‘Ç«+·ަ‘ ÂclassŽ‘$àRCompareu½‰™šs4Ž–Ôwmeanu½‰™šs4Ž“zŽ’€u·fަ‘ ÂpublicŽ‘)=Ö«:‘Âin®9tŽ‘¤÷opQÇeratorŽ‘B;¬«(‘ª®)(ÂconstŽ‘*¢ShapQÇeŽ‘@l·Ž‘ElÏs1Ž‘P}±;‘ª¨ÂconstŽ‘ÕJShapQÇeŽ‘B¬·Ž‘G­Ïs2Ž‘R'½«)‘UUÂconstŽŽ¦‘·fަ‘ÂreturnŽ‘Dÿ«(((Ïs1Ž‘ Ÿ±~ŽŽ‘Ïget‘‰ffŽ–®minimum‘‰ffŽ“zŽ‘Rné«(›ª¨)–õ´+“Ïs1Ž‘ ÄŸ±~ŽŽ‘ÅÏget‘‰ffŽ–®maximum‘‰ffŽ“zŽ‘WtB«(˜))±=«2Ž‘)‘+±>ަ‘2«((Ïs2Ž‘ Ÿ±~ŽŽ‘Ïget‘‰ffŽ–®minimum‘‰ffŽ“zŽ‘Rné«(›ª¨)–8à+“Ïs2Ž‘ 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ÝYAfter“the“ÂShapQÇeŽŽ¦«pGoinš¸ãters–¿on“the“Âv®9ectorŽ‘'éÆPictureŽ‘N…׫::‘Ïshap‘ÿ}'esŽ‘"L«ha˜v˜e“bGeen“extracted,‘RZÏoutputŽ‘!aš«(‘ª®)“is“called“for“eac˜h“of“the“ÂShapQÇesŽŽ¦«they–6¨pGoinš¸ãt“to“(except“for“the“ones,‘<Ëif“an˜y‘ÿ*ª,‘<Ëwhere“Ïpr–ÿ}'oje“ctŽ‘!­¶«(›ª®)“failed).‘gÏoutputŽ‘!vÍ«(˜)“writes“the“MET‘ÿ*ªAPOST‘6 coGde“toަÏout‘‰ffŽ‘®str–ÿ}'e“amŽ‘/@œ«.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¦‘ «[¬LDF‘T2002.09.16.«]Ž‘YAdded‘j!ÂF‘ÿ «oQÇcusŽ‘#ÉŽ«argumen•¸ãt‘j!±fŽ‘ c«.‘°+I›jw“an“t–j!the“default“to“bGe“Ïdefault‘‰ffŽ‘®fo‘ÿ}'cusŽ‘;H«,‘oTbut“I˜can't“put“it“inަthe–Þdeclaration,›Âas“I‘Énormally“do,˜bšGecause“Ïdefault‘‰ffŽ‘®fo‘ÿ}'cusŽ‘=麫hasn't“b˜een“de ned“y•¸ãet.‘WJI'v“e–Þput“it“in“the“de nition,ަand––¿it“seems“to“wš¸ãork.‘6Sometimes“it“doGesn't,‘§and“I‘–®don't“kno˜w“wh˜y‘ÿ*ª,‘§nor“do“I‘–®kno˜w“wh˜y“it“w˜orks“this“time.ަIf–·ÿI‘·ærun“inš¸ãto“problems,‘Щthis“ma˜y“bGe“the“reason.‘™ÅIf“necessary‘ÿ*ª,‘ЩI‘·æcan“mak˜e“a“dumm˜y“v˜ersion“of“this“functionަwith–UUno“argumenš¸ãt“that“calls“Ïthis‘'v«v˜ersion“with“Ïdefault‘‰ffŽ‘®fo‘ÿ}'cusŽ‘>ˆ¨«as“its“argumen˜t.ަ‘ [¬LDF‘T2002.09.17.«]Ž‘YèChanged–lthe“argumenš¸ãt“±fŽ‘ Ðê«from“ÂF‘ÿ «oQÇcusŽ‘#ÍP«to“ÂconstŽ‘!­QF‘ÿ «oQÇcusŽ‘BŸ«&Ž‘IÕ½.‘µÍRemo˜v˜ed“the“in˜v˜oGcations“ofަÏapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(›ª®)–UUand“Ïpr–ÿ}'oje“ctŽ‘!Ìc«(˜)“and“error“handling“coGde“to“Ïextr‘ÿ}'actŽ‘"Ä«(˜).ަ‘ -[¬LDF‘T2002.10.23.«]Ž‘[hRemo•¸ãv“ed–µthe“argumenš¸ãt“±fŽ‘ ®«.‘ ‘Since“Ïextr‘ÿ}'actŽ‘$w‰«(‘ª®)“tak˜es“care“of“applying“Ïpr–ÿ}'oje“ctŽ‘$,(«(‘ª®),‘M theަÏpr–ÿ}'oje“ctive‘‰ffŽ‘®c“o“or“dinatesŽ‘c:Ыare–„½already“set,‘Зso“all“ÏoutputŽ‘!“ý«(‘ª®)“needs“to“do“is“write“them“to“Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘8J«with“theަpropGer–UUMET‘ÿ*ªAPOST“instructions.Ž¡ŸüÈ„`Ê‘ 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üstring‘ÕTargumen®9t.“«[¬LDF‘T2002.10.27.«]Ž‘Zˆ6The‘UUargumen¸ãts:ޤÂstringŽ‘!%MÏtext‘‰ffŽ‘®strŽŽ‘l‘«The–UUtext“for“the“labGel.Ž¡ÂstringŽ‘!%MÏp‘ÿ}'osition‘‰ffŽ‘®strŽŽ‘l‘«Indicates–ßÊthe“pšGosition“of“the“lab˜el“text“relativ¸ãe“to“the“ÂP•®9oin“tŽ‘z«.‘J™The“same“ÂstringsŽ‘'ïä«areޤ ‘l‘pGermitted–À'as“in“MET‘ÿ*ªAPOST.“They“are“written“unc•¸ãhec“k“ed–À'to“Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘3ë,‘ÚÛso“if“anŽ¡‘l‘inš¸ãv‘ÿqÇalid‘‹uÂstringŽ‘"æâ«is–‹uused,‘³Õit“w˜on't“cause“an“error“in“3DLDF,“but“it“will“in“MET‘ÿ*ªAPOST.Ž¡‘l‘The–ùüpGermitted“ÂstringsŽ‘,$H«are:‘»Ý"top"Ž‘'{j«(the“default),‘c%Ý"bot"Ž– 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ÝvalŽ‘kÆÜue.\n"Ž’‹Í2«;Ž¡‘±sŽ‘%w·‘ÇÏtext‘‰ffŽ‘®shortŽ‘-¦‡«;Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"s.str()È Ý==È Ý"Ž‘JTq·‘DZsŽ‘w:ÏstrŽ‘ 7«(‘ª¨)–Ç·“Ïend‘‚ØlŽ‘ò·“Ï ushŽ‘€«;Ž¡‘Ïlab‘ÿ}'elŽ‘(tš«(±sŽ‘°:ÏstrŽ‘ 7«(–ª¨)±;“Ïp‘ÿ}'osition‘‰ffŽ‘®strŽ‘4Œì±;“ÏdotŽ‘«µ±;“Ïpictur‘ÿ}'eŽ‘ ³~«);Ž¡‘ÂreturnŽ‘4‘g«;Ž¡‘ -·gŽŸÂ465.– üDotlabQÇel.“«TO‘ÅŠDO:–ÅéAdd“an“optional“Ïp‘ÿ}'enŽ‘¥…«argumen¸ãt.‘ÃIf“it's“used,‘"use“Ïdr‘ÿ}'awdotŽ‘(Yj«(‘ª®)“with“the“Ïp‘ÿ}'enŽŽ¡«argumen¸ãt,›ptogether–ò7with“Ïlab‘ÿ}'elŽ‘fÏ«(‘ª®).‘HnWhen“I‘òdo“this,˜I‘òshould“also“add“ÂrealŽ‘BG«argumen¸ãts“(to“bGoth“Ïlab‘ÿ}'elŽ‘fÏ«(‘ª®)“andŽ¡Ïdotlab‘ÿ}'elŽ‘!ÿó«(‘ª®))–,Äfor“shifting“the“pGosition“of“the“text,‘4áand“a“vš¸ãersion“with“a“ÂP•®9oin“tŽ‘!óЫargumen˜t“for“the“same“purpGose.Ž¡This–UUis“so“that“the“dot“wš¸ãon't“co˜v˜er“the“text.‘qÇ[¬LDF‘T2003.07.16.«]ŽŽŽŽŒ‹~÷Ÿ Šn ý‘ì«126›ÂSTRING‘ÕX­AR•ÃŽGUMENT’ÿ€3DLDFPR“G˜·x«466Ž €n ý•@PÂ466.‘ üstring‘ÕTargumen®9t.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ© ‘ 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-«[¬LDF‘T2003.07.09.«]Ž‘Y;Made‘UUÏtext‘‰ffŽ‘®shortŽ‘1Š«and‘UUÏp‘ÿ}'osition‘‰ffŽ‘®strŽ‘9Œî«argumen¸ãts‘UUÂconstŽ‘*¢«.Ž¡ŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·ަ‘ +·gŽŸÂ468.‘ üshort‘ÕTargumen®9t.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¦‘ +«[¬LDF‘T2003.07.09.«]Ž‘Y;Made‘UUÏtext‘‰ffŽ‘®shortŽ‘1Š«and‘UUÏp‘ÿ}'osition‘‰ffŽ‘®strŽ‘9Œî«argumen¸ãts‘UUÂconstŽ‘*¢«.Ž¡ŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·ަ‘ Âv®9oidŽ‘$[)Ïdotlab‘ÿ}'elŽ‘F[«(ÂconstŽ‘‡òshortŽ‘>¯åÏtext‘‰ffŽ‘®shortŽ‘iT±;‘ª¨ÂconstŽ‘!2šstringŽ‘Cµ7Ïp‘ÿ}'osition‘‰ffŽ‘®strŽ‘{¤À«=‘ EÝ"top"Ž‘Óž±;‘ª¨ÂPictureŽŽ¦‘«&Ž‘%Ç!Ïpictur‘ÿ}'eŽ‘G—«=‘ÇÏcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘Dìß«)‘UUÂconstŽ‘*¢«;ŽŸÂ469.Ž¡·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ަ‘ Âv®9oidŽ‘"ýÙP•®9oin“tŽ‘?˜%«::‘Ïdotlab‘ÿ}'elŽ‘"ÿ÷«(ÂconstŽ‘*¢shortŽ‘;õEÏtext‘‰ffŽ‘®shortŽ‘fÔ´±;‘ª¨ÂconstŽ‘ÕJstringŽ‘@ú—Ïp‘ÿ}'osition‘‰ffŽ‘®strŽ‘sÜÛ±;‘ª¨ÂPictureŽ‘*œ «&Ž‘2c(Ïpictur‘ÿ}'eŽ‘Qkþ«)‘UUÂconstŽŽ¦‘ ·fަ‘Ïlab‘ÿ}'elŽ‘(tš«(Ïtext‘‰ffŽ‘®shortŽ‘*ßo±;‘ª¨Ïp‘ÿ}'osition‘‰ffŽ‘®strŽ‘4Œì±;‘ª¨ÏtrueŽ‘o@±;‘ª¨Ïpictur‘ÿ}'eŽ‘ ³~«);ަ‘ -·gŽŽŽŒ‹9 Šn ý‘ì·x«470›­3DLDFPR•ÃŽG’¿aÂSHOR‘ÿ -«T‘ÕX­AR“GUMENT˜«127Ž €n ý•@PÂ470.‘ ü«[¬LDF‘T2002.09.06.«]Ž‘[#¯Commenš¸ãted–ðÎout“·Ž‘ ·ìÂLabQÇelŽ‘'ùO«(‘ª¨).‘D3This“w˜as“the“cause“of“a“bug“that“caused“a“memoryޤ fault–ªµwhen“I‘ªŸtried“to“use“a“labGel“in“ gure“2“(Ïb–ÿ}'e“gin gŽ‘!¡«(2Ž‘))“after“haš¸ãving“used“it“in“ gure“1“and“then“in˜v˜okingŽ¡Ïcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘B%DZ:Ïcle‘ÿ}'arŽ‘(Ù«(‘ª¨)–UUin“bGet•¸ãw“een.Ž©·h–ª¨«De ne‘UUÂLabQÇelŽ‘"ì «functions‘@­470“·i‘ÇŽ¡«#ÂifŽ‘ ´ø«0ŽŽ¡‘ +·gŽŽŽŒ‹€ [ Šn ý‘ì«128›ÂSHOR‘ÿ +«T‘ÕX­AR•ÃŽGUMENT’¿a3DLDFPR“G˜·x«470Ž €n ý•@PÂ470.‘ ü«[¬LDF‘T2002.09.06.«]Ž‘[#¯Commenš¸ãted–ðÎout“·Ž‘ ·ìÂLabQÇelŽ‘'ùO«(‘ª¨).‘D3This“w˜as“the“cause“of“a“bug“that“caused“a“memoryޤ fault–ªµwhen“I‘ªŸtried“to“use“a“labGel“in“ gure“2“(Ïb–ÿ}'e“gin gŽ‘!¡«(2Ž‘))“after“haš¸ãving“used“it“in“ gure“1“and“then“in˜v˜okingŽ¡Ïcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘B%DZ:Ïcle‘ÿ}'arŽ‘(Ù«(‘ª¨)–UUin“bGet•¸ãw“een.Ž©·h–ª¨«De ne‘UUÂLabQÇelŽ‘"ì «functions‘@­470“·i‘ÇŽ¡«#ÂifŽ‘ ´ø«0ŽŽ¡‘ ÂLabQÇelŽ‘'Ah«::Ž‘-Ϧ·Ž‘5–ÄÂLabQÇelŽ‘QØ'«(‘ª¨)Ž¡‘ ·fŽ¡‘ÂifŽ‘´ú«(ÏptŽ‘ «µ·6«=‘Ç0Ž‘Ç)‘ÂdeleteŽ‘&ƺÏptŽ‘0«W«;Ž¡‘ ·gŽ¡«#ÂendifŽŽ¤ ­See–ÕXalso“sections“471“and“472.Ž¡This–ÕXco‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.10.23.«]Ž‘Y;Added–UUargumen¸ãts“Ïpr‘ÿ}'ojŽ‘žm«and“ÏfactorŽ‘Y3«.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«De ne‘UUÂLabQÇelŽ‘"ì «functions‘@­470“·i‘Ç«+·Ž¡‘ +·gŽŸÂ472.– üOutput‘l@LabQÇels.“«[¬LDF‘T2002.10.23.«]Ž‘[êDeclared–·-in“Èpictures.web«.‘—PMust“bšGe“de ned“here,‘£b˜ecauseŽ¡ÂP•®9oin“tŽ‘ï«is–UUan“incomplete“t¸ãypGe“there.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.10.23.«]Ž‘Y;Added–UUargumen¸ãts“Ïpr‘ÿ}'ojŽ‘žm«and“ÏfactorŽ‘Y3«.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«De ne‘UUÂLabQÇelŽ‘"ì «functions‘@­470“·i‘Ç«+·Ž¡‘ Âv®9oidŽ‘"æÿLabQÇelŽ‘@(f«::‘ÏoutputŽ‘D«(ÂconstŽ‘ÈF‘ÿ «oQÇcusŽ‘>G«&Ž‘F­±fŽ‘L“;‘ª¨ÂconstŽ‘¾punsignedŽ‘OÞ¤shortŽ‘m’mÏpr‘ÿ}'ojŽ’€†0±;‘ª¨ÂrealŽ‘FüÏfactorŽ‘3JÚ±;‘ª¨ÂconstŽ‘¾pT‘ÿ «ransformŽ‘Wph«&Ž‘_7†±tŽ‘bÓø«)Ž¡‘ @@ -1734,11 +1764,11 @@ ÏptŽ‘«¶·«=ŽŽ‘&9í±tŽ‘)Ö_«;Ž¡‘ÏptŽ‘䟟±~ŽŽ‘!ä Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘h«(‘ª¨);Ž¡‘ÂifŽ‘´ú«(·:ÏptŽ‘äŸ±~ŽŽ‘ äžÏpr–ÿ}'oje“ctŽ‘,[¬«(±fŽ‘øæ;‘ª¨Ïpr‘ÿ}'ojŽ‘žk±;‘ª¨ÏfactorŽ‘®†«))‘·fŽ¡‘Ïc‘ÿ}'errŽ‘3²ƒ·‘üÚÝ"WARNING!È ÝInÈ ÝLabel::Ž‘küžoutput():\n"Ž’®¼·‘üÚÝ"PointÈ ÝinÈ ÝLabelÈ ÝcannŽ‘küžotÈ ÝbeÈ Ýprojected!È Ý"Ž’Íÿª·Ž¡‘2Ý"NotÈ ÝprintingÈ ÝLabel\Ž’šÿÉn"Ž’¨ÍC·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘>‘h«;Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(ÏdotŽ‘È%·‘ÇÏtrueŽ‘‹°«)‘Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘7´·‘ÇÝ"dot"Ž‘q«;Ž¡‘Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘F¶·‘ÇÝ"label"Ž‘( k«;Ž¡‘ÂifŽ‘´ú«(Ïp‘ÿ}'ositionŽ–& o·6«=‘ÇÝ""Ž‘ Íz«)‘Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘7´·‘ÇÝ"."Ž‘Ô·‘ÇÏp‘ÿ}'ositionŽ“«;Ž¡‘Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘F¶·‘ÇÝ"(btexÈ Ý"Ž‘0€·‘ÇÏtextŽ‘åü·‘ÇÝ"È Ýetex,È Ý("Ž‘:”z·‘ÇÏptŽ‘ «µŸ±~ŽŽ‘«¶Ïget‘‰ffŽ‘®xŽ‘':«(Ý'p'Ž‘F_±;Ž¡‘(ÏfalseŽ‘<¯H«)–Ç·“ÂP•®9oin“tŽ‘ad«::Ž‘%ï¢Ïme–ÿ}'asur“ement‘‰ffŽ‘®unitsŽ‘| Ž·“Ý",È Ý"Ž‘Œ·“ÏptŽ‘ «µŸ±~ŽŽ‘«¶Ïget‘‰ffŽ‘®yŽ‘'Ì«(Ý'p'Ž‘F_±;Ž¡‘(ÏfalseŽ‘<¯H«)–Ç·“ÂP•®9oin“tŽ‘ad«::Ž‘%ï¢Ïme–ÿ}'asur“ement‘‰ffŽ‘®unitsŽ‘| Ž·“Ý"));\n"Ž‘( k«;Ž¡‘ÂreturnŽ‘4‘g«;Ž¡‘ -·gŽŽŽŒ‹€ì Šn ý‘ì«128›­MA–ÿJªTRIX‘ÕXOPERA“TIONS’¯,3DLDFPRÃŽG˜·x«473Ž €n ý•@PÂ473.‘ üMatrix‘ÕTopQÇerations.Ž©474.‘ üMultiplication–ÕTbš®9y“a“T‘ÿ -«ransform“with“assignmen˜t.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ +·gŽŽŽŒ‹¹ Šn ý‘ì·x«473›­3DLDFPRÃŽG’¯,MA–ÿJªTRIX‘ÕXOPERA“TIONS˜«129Ž €n ý•@PÂ473.‘ üMatrix‘ÕTopQÇerations.Ž©474.‘ üMultiplication–ÕTbš®9y“a“T‘ÿ +«ransform“with“assignmen˜t.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¤ ‘ «[¬LDF‘T2002.11.06.«]Ž‘YeBUG‘_|FIX:–_This“function“noš¸ãw“returns“±tŽ‘ [p«instead“of“Ïtr‘ÿ}'ansformŽ‘/À«.‘DThis“mak˜es“it“pGossible“toŽ¡c¸ãhain–UUexpressions“using“ÂopQÇeratorŽ‘.ì -·«=ŽŽŽ‘;³)(‘ª¨).ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·ŽŸ ‘ +·«=ŽŽŽ‘;³)(‘ª¨).ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·ŽŸ ‘ ÂT‘ÿ «ransformŽ‘AÈÓopQÇeratorŽ‘m_ˆ·«=ŽŽŽ‘z&§(ÂconstŽ‘*¢T‘ÿ «ransformŽ‘Uót«&Ž‘]º’±tŽ‘aW«);ަÂ475.Ž¡·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ @@ -1747,16 +1777,16 @@ «ransformŽ‘Uót«&Ž‘]º’±tŽ‘aW«)Ž¡‘ ·fŽ¡‘ÂreturnŽ‘7漫(Ïtr‘ÿ}'ansformŽ‘.zY·«=ŽŽ‘>±tŽ‘A¥«);Ž¡‘ ·gަÂ476.– üV‘ÿ -«ector‘uopQÇerations.“«[¬LDF‘T2002.10.27.«]Ž‘Z²îNote–€ that“the“v¸ãector“opšGerations“don't“a ect“the“w“co˜ordi-Ž¡nate.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +«ector‘uopQÇerations.“«[¬LDF‘T2002.10.27.«]Ž‘Z²îNote–€ that“the“v¸ãector“opšGerations“don't“a ect“the“w“co˜ordi-Ž¡nate.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.10.27.«]Ž‘YwIn–R‘the“functions“ÂopQÇeratorŽ‘.éF«+Ž‘6°d(–ª¨),ÂopQÇeratorŽ‘+–µ«+=ŽŽŽ‘;$ñ(“),‘SÂopQÇeratorŽ‘.éÔ·Ž‘6°ò«(“),‘Sand‘R‘ÂopQÇeratorŽ‘.éF·«=ŽŽŽ‘>w‚(“):‘peItŽ¡doGesn't–3:seem“wš¸ãorth“it“to“write“non-ÂconstŽ‘!‡«v˜ersions,‘ê²although“I‘2}could.‘ uNo˜w“using“the“elemen˜ts“ofŽ¡Ïp0Ž‘ À±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Qñ -«directly–Ý 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·fŽ¡‘ÂP•®9oin“tŽ‘2aŽ‘88Ï«;ŽŸ‘±aŽ‘J«=‘Ç·Ž‘ÇÏthisŽ‘²Ï«;Ž¡‘±pŽ‘:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);Ž¡‘±aŽ‘I2:ÏshiftŽ‘}«(±pŽ‘:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ–Mþ«[0Ž›]±;‘ª¨pŽ‘²¨:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ“«[1Ž˜]±;‘ª¨pŽ‘²¨:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ“«[2Ž˜]);Ž¡‘ÂreturnŽ‘7æ¼±aŽ‘=/ì«;Ž¡‘ ·gަÂ479.‘ üV‘ÿ «ector–ÕTaddition“with“assignmen®9t.ŽŸ·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ -Âv®9oidŽ‘"ýÙopQÇeratorŽ‘N”Ž«+=ŽŽŽ‘^"Ê(ÂP•®9oin“tŽ‘ï±pŽ‘#÷«);ŽŽŽŒ‹y Šn ý‘ì·x«480›­3DLDFPRÃŽG’¶,VECTOR–ÕXADDITION“WITH“ASSIGNMENT˜«129Ž €n ý•@PÂ480.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ +Âv®9oidŽ‘"ýÙopQÇeratorŽ‘N”Ž«+=ŽŽŽ‘^"Ê(ÂP•®9oin“tŽ‘ï±pŽ‘#÷«);ŽŽŽŒ‹‚# Šn ý‘ì«130›­VECTOR–ÕXADDITION“WITH“ASSIGNMENT’¶,3DLDFPRÃŽG˜·x«480Ž €n ý•@PÂ480.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙP•®9oin“tŽ‘?˜%«::Ž‘F&cÂopQÇeratorŽ‘q½«+=ŽŽŽ’KT(ÂP•®9oin“tŽ‘ï±pŽ‘#÷«)Ž¡‘ ·fŽ¡‘±pŽ‘:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);Ž¡‘ÏshiftŽ‘(«(±pŽ‘:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ–Mþ«[0Ž›]±;‘ª¨pŽ‘²¨:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ“«[1Ž˜]±;‘ª¨pŽ‘²¨:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ“«[2Ž˜]);Ž¡‘ ·gŽŸÂ481.‘ üV‘ÿ @@ -1770,15 +1800,15 @@ Âv®9oidŽ‘"ýÙP•®9oin“tŽ‘?˜%«::Ž‘F&cÂopQÇeratorŽ‘q½·«=ŽŽŽ’KT(ÂP•®9oin“tŽ‘ï±pŽ‘#÷«)Ž¡‘ ·fŽ¡‘±pŽ‘:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);Ž¡‘ÏshiftŽ‘(«(·Ž‘DZpŽ‘ Ï:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ–Mþ«[0Ž›]±;‘ª¨·Ž‘ qƱpŽ‘yÆ:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ“«[1Ž˜]±;‘ª¨·Ž‘ qƱpŽ‘yÆ:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ“«[2Ž˜]);Ž¡‘ ·gŽŸÂ485.‘ üV‘ÿ -«ector-scalar–ÕTmš®9ultipication“with“assignmen˜t.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +«ector-scalar–ÕTmš®9ultipication“with“assignmen˜t.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.10.27.«]Ž‘Y;Made–UUargumen¸ãt“±rŽ‘ t¾ÂconstŽ‘&J «.‘qÇChanged“return“v‘ÿqÇalue“from“ÂP•®9oin“tŽ‘"Dò«&Ž‘-aeto“Âv®9oidŽ‘ýØ«.Ž¡‘ -[¬LDF‘T2003.05.14.«]Ž‘YQChanged–ž3return“v‘ÿqÇalue“from“Âv®9oidŽ‘äé«to“ÂrealŽ‘ü «.‘LaIt“noš¸ãw“returns“the“argumen˜t“±rŽ‘hG«.‘LaThis“mak˜esŽ¡it–UUpGossible“to“cš¸ãhain“in˜v˜oGcations“of“this“function.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ -ÂrealŽ‘ ³/opQÇeratorŽ‘LIä·«=ŽŽŽ‘Y(ÂconstŽ‘*¢realŽ‘4ÝбrŽ‘9§ä«);ŽŽŽŒ‹‚+S Šn ý‘ì«130‘­VECTOR-SCALAR›ÕXMUL–ÿJªTIPICA“TION˜WITH˜ASSIGNMENT‘uñØ3DLDFPRÃŽG‘·x«486Ž €n ý•@PÂ486.‘ ü«??‘(I'm–‹ not“sure“whether“mš¸ãultiplication“with“a“scalar“is“comm˜utativ˜e“with“transformations.‘(I‘‹doubtޤ it.‘qÇTherefore,–UUI“apply“Ïtr‘ÿ}'ansformŽ‘2]ë«bGefore“m¸ãultiplying.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·Ž¡‘ +[¬LDF‘T2003.05.14.«]Ž‘YQChanged–ž3return“v‘ÿqÇalue“from“Âv®9oidŽ‘äé«to“ÂrealŽ‘ü «.‘LaIt“noš¸ãw“returns“the“argumen˜t“±rŽ‘hG«.‘LaThis“mak˜esŽ¡it–UUpGossible“to“cš¸ãhain“in˜v˜oGcations“of“this“function.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ +ÂrealŽ‘ ³/opQÇeratorŽ‘LIä·«=ŽŽŽ‘Y(ÂconstŽ‘*¢realŽ‘4ÝбrŽ‘9§ä«);ŽŽŽŒ‹ƒ.Ÿ Šn ý‘ì·x«486‘­3DLDFPRÃŽG‘uñØVECTOR-SCALAR›ÕXMUL–ÿJªTIPICA“TION˜WITH˜ASSIGNMENT‘«131Ž €n ý•@PÂ486.‘ ü«??‘(I'm–‹ not“sure“whether“mš¸ãultiplication“with“a“scalar“is“comm˜utativ˜e“with“transformations.‘(I‘‹doubtޤ it.‘qÇTherefore,–UUI“apply“Ïtr‘ÿ}'ansformŽ‘2]ë«bGefore“m¸ãultiplying.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·Ž¡‘ ÂrealŽ‘ ³/P•®9oin“tŽ‘=M{«::Ž‘CÛ¹ÂopQÇeratorŽ‘orn·«=ŽŽŽ‘|9(ÂconstŽ‘*¢realŽ‘4ÝбrŽ‘9§ä«)Ž¡‘ ·fŽ¡‘Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Zá«(‘ª®);Ž¡‘ÂforŽ‘%舫(Âin®9tŽ‘¤÷±iŽ‘Þ«=‘Ç0Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«3Ž“;‘ÿý±iŽ‘ññŸÿ®+‘ÿ+ŽŽ‘¹«)‘Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Rþ«[±iŽ‘qô«]‘Ç·«=ŽŽ‘UO±rŽ‘c«;Ž¡‘ÂreturnŽ‘7æ¼±rŽ‘<°Ð«;Ž¡‘ ·gޤÂ487.‘ üV‘ÿ -«ector-scalar‘ÕTm®9ultipication.Ž¡488.‘ üMem•®9bQÇer›ÕTv“ersion˜(P“oin“t˜ rst).ŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ -«[¬LDF‘T2002.10.27.«]Ž‘Y;Made–UUthis“function“and“the“argumen¸ãt“±rŽ‘ t¾ÂconstŽ‘&J «.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ +«ector-scalar‘ÕTm®9ultipication.Ž¡488.‘ üMem•®9bQÇer›ÕTv“ersion˜(P“oin“t˜ rst).ŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¤ ‘ +«[¬LDF‘T2002.10.27.«]Ž‘Y;Made–UUthis“function“and“the“argumen¸ãt“±rŽ‘ t¾ÂconstŽ‘&J «.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ ÂP•®9oin“tŽ‘(ïžopQÇeratorŽ‘T†S·Ž‘Y†T«(ÂconstŽ‘*¢realŽ‘4ÝбrŽ‘9§ä«)‘UUÂconstŽ‘*¢«;ŽŸÂ489.ަ·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·Ž¡‘ ÂP•®9oin“tŽ‘(ïžP•®9oin“tŽ‘E‰ê«::Ž‘L(ÂopQÇeratorŽ‘w®Ý·Ž‘|®Þ«(ÂconstŽ‘*¢realŽ‘4ÝбrŽ‘9§ä«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂP•®9oin“tŽ‘2aŽ‘88Ï«(·Ž‘ÏthisŽ‘ë·«);ަ‘±aŽ‘I2:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);Ž¡‘±aŽ‘J·«=ŽŽ‘+ž±rŽ‘0h•«;Ž¡‘ÂreturnŽ‘7æ¼±aŽ‘=/ì«;Ž¡‘ @@ -1786,32 +1816,32 @@ ÂP•®9oin“tŽ‘(ïžopQÇeratorŽ‘T†S·Ž‘Y†T«(ÂconstŽ‘*¢realŽ‘1ˆ{±;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒ±pŽ‘K”«);ŽŸÂ491.ަ·h›ª¨«De ne–UUnon-mem¸ãbGer“functions“for“ÂP•®9oin“tsŽ‘'¸Ý­437˜·i‘Ç«+·Ž¡‘ ÂP•®9oin“tŽ‘(ïžopQÇeratorŽ‘T†S·Ž‘Y†T«(ÂconstŽ‘*¢realŽ‘4ÝбrŽ‘9§ä;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒ±pŽ‘K”«)Ž¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼±pŽ‘?'œ·‘8à±rŽ‘ô«;Ž¡‘ -·gŽŸÂ492.‘ üUnary‘ÕTmin®9us.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.10.27.«]Ž‘Y;Made–UUthis“function“ÂconstŽ‘*¢«.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ -ÂP•®9oin“tŽ‘(ïžopQÇeratorŽ‘T†S·Ž‘\Mq«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹ƒ6’ Šn ý‘ì·x«493–­3DLDFPRÃŽG’$ž:UNAR‘ÿJªY‘ÕXMINUS“«131Ž €n ý•@PÂ493.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ +·gŽŸÂ492.‘ üUnary‘ÕTmin®9us.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.10.27.«]Ž‘Y;Made–UUthis“function“ÂconstŽ‘*¢«.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ +ÂP•®9oin“tŽ‘(ïžopQÇeratorŽ‘T†S·Ž‘\Mq«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹„9³ Šn ý‘ì«132–­UNAR‘ÿJªY‘ÕXMINUS’$ž:3DLDFPRÃŽG“·x«493Ž €n ý•@PÂ493.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ ÂP•®9oin“tŽ‘(ïžP•®9oin“tŽ‘E‰ê«::Ž‘L(ÂopQÇeratorŽ‘w®Ý·Ž‘uû«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂP•®9oin“tŽ‘2aŽ‘88Ï«(·Ž‘ÏthisŽ‘ë·«);ަ‘±aŽ‘I2:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);Ž¡‘±aŽ‘J·«=ŽŽ‘+ž·Ž‘3eŸ«1Ž‘8e ;Ž¡‘ÂreturnŽ‘7æ¼±aŽ‘=/ì«;Ž¡‘ ·gŽŸÂ494.› üV‘ÿ -«ector-scalar–.³division“with“assignmen®9t.˜«??‘ö¿I'm–¨not“sure“whether“division“with“a“scalar“isŽ¡comm•¸ãutativ“e–UUwith“transformations.›qÇI“doubt“it.˜Therefore,“I“apply“Ïtr‘ÿ}'ansformŽ‘2]ë«bGefore“dividing.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.10.27.«]Ž‘Y;Made–UUthe“argumen¸ãt“±rŽ‘ t¾ÂconstŽ‘&J «.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ +«ector-scalar–.³division“with“assignmen®9t.˜«??‘ö¿I'm–¨not“sure“whether“division“with“a“scalar“isŽ¡comm•¸ãutativ“e–UUwith“transformations.›qÇI“doubt“it.˜Therefore,“I“apply“Ïtr‘ÿ}'ansformŽ‘2]ë«bGefore“dividing.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.10.27.«]Ž‘Y;Made–UUthe“argumen¸ãt“±rŽ‘ t¾ÂconstŽ‘&J «.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ Âv®9oidŽ‘"ýÙopQÇeratorŽ‘N”ޱ=«=ŽŽŽ‘[[­(ÂconstŽ‘*¢realŽ‘4ÝбrŽ‘9§ä«);ŽŸÂ495.ަ·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·Ž¡‘ Âv®9oidŽ‘"ýÙP•®9oin“tŽ‘?˜%«::Ž‘F&cÂopQÇeratorŽ‘q½±=«=ŽŽŽ‘~„7(ÂconstŽ‘*¢realŽ‘4ÝбrŽ‘9§ä«)Ž¡‘ ·fŽ¡‘Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Zá«(‘ª®);Ž¡‘ÂforŽ‘%舫(Âin®9tŽ‘¤÷±iŽ‘Þ«=‘Ç0Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«3Ž“;‘ÿý±iŽ‘ññŸÿ®+‘ÿ+ŽŽ‘¹«)‘Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Rþ«[±iŽ‘qô«]‘DZ=«=ŽŽ‘UO±rŽ‘c«;Ž¡‘ ·gŽŸÂ496.‘ üV‘ÿ -«ector-scalar‘ÕTdivision.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.10.27.«]Ž‘Y;Made–UUthis“function“and“the“argumen¸ãt“±rŽ‘ t¾ÂconstŽ‘&J «.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ -ÂP•®9oin“tŽ‘(ïžopQÇeratorŽ‘T†S±=«(ÂconstŽ‘*¢realŽ‘4ÝбrŽ‘9§ä«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹„@å Šn ý‘ì«132–­VECTOR-SCALAR‘ÕXDIVISION’ìéf3DLDFPRÃŽG“·x«497Ž €n ý•@PÂ497.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ +«ector-scalar‘ÕTdivision.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.10.27.«]Ž‘Y;Made–UUthis“function“and“the“argumen¸ãt“±rŽ‘ t¾ÂconstŽ‘&J «.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ +ÂP•®9oin“tŽ‘(ïžopQÇeratorŽ‘T†S±=«(ÂconstŽ‘*¢realŽ‘4ÝбrŽ‘9§ä«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹…C° Šn ý‘ì·x«497–­3DLDFPRÃŽG’ìéfVECTOR-SCALAR‘ÕXDIVISION“«133Ž €n ý•@PÂ497.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ ÂP•®9oin“tŽ‘(ïžP•®9oin“tŽ‘E‰ê«::Ž‘L(ÂopQÇeratorŽ‘w®Ý±=«(ÂconstŽ‘*¢realŽ‘4ÝбrŽ‘9§ä«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂP•®9oin“tŽ‘2aŽ‘88Ï«(·Ž‘ÏthisŽ‘ë·«);ަ‘±aŽ‘I2:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);Ž¡‘±aŽ‘J=«=ŽŽ‘+ž±rŽ‘0h•«;Ž¡‘ÂreturnŽ‘7æ¼±aŽ‘=/ì«;Ž¡‘ -·gŽŸÂ498.‘ üDot‘ÕTproQÇduct.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +·gŽŸÂ498.‘ üDot‘ÕTproQÇduct.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.10.27.«]Ž‘Xô2Changed–ALthis“function“and“argumenš¸ãt“±pŽ‘ 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«.‘qÇNo˜w“usingŽ¡Ïdot‘‰ffŽ‘®pr–ÿ}'o“ductŽ‘2€!«(‘ª®)–UUinstead“of“calculating“the“angle“\b¸ãy“hand".‘qÇSimpli ed“the“coGde“of“the“function.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ +ÂrealŽ‘ ³/ÏangleŽ‘8s‚«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹ˆbN Šn ý‘ì«136‘­ANGLE–ÕXBETWEEN“TWšÃŽO“VECTORS’Ïí43DLDFPR˜G‘·x«505Ž €n ý•@PÂ505.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ ÂrealŽ‘ ³/P•®9oin“tŽ‘=M{«::‘ÏangleŽ‘ÀW«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·–ÿý«true“·±=Ž¡‘ÂrealŽ‘*³0ÏmagŽ‘@Ã&«=‘ÇÏmagnitudeŽ‘1Š«(‘ª¨);Ž¡‘ÂrealŽ‘*³0Ïp‘‰ffŽ‘®magŽ‘I©«=‘DZpŽ‘Ï:ÏmagnitudeŽ‘.=r«(‘ª¨);ަ‘ÂifŽ‘´ú«(ÏmagŽ‘ö·‘ÇÝINVALID_REALŽ‘BM\«)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘3|Á·‘ÇÝ"WARNING!È ÝInÈ Ýangle()Ž‘kÆÜ.È Ýmagnitude()È ÝfailedŽ’ÔÆ ."Ž’â”·‘ÇÝ"È ÝReturningÈ ÝINVALID_Ž‘kÆÜREAL.\n"Ž’–M,«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_REALŽ’m«;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(ÏmagŽ‘ö·‘Ç«0Ž‘Ç)‘·fŽ¡‘ÂifŽ‘*›2«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'errŽ‘ül·‘FÆÝ"WARNING!È ÝInÈ Ýangle()Ž‘mFŠ.\n"Ž’‡¬·‘FÆÝ"*thisÈ ÝhasÈ ÝmagnitudeŽ‘mFŠÈ Ý0.\n"Ž’‘“¦·Ž¡‘<Ý"ReturningÈ ÝINVALID_RŽ’¤ÿÊEAL.\n"Ž’ÊF«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_REALŽ’m«;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ïp‘‰ffŽ‘®magŽ‘Úy·‘ÇÝINVALID_REALŽ‘BM\«)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘3|Á·‘ÇÝ"WARNING!È ÝInÈ Ýangle()Ž‘kÆÜ.È Ýp.magnitude()È ÝfailŽ’ÔÆ ed."Ž’í·‘ÇÝ"È ÝReturningÈ ÝINVALID_Ž‘kÆÜREAL.\n"Ž’–M,«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_REALŽ’m«;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ïp‘‰ffŽ‘®magŽ‘Úy·‘Ç«0Ž‘Ç)‘·fŽ¡‘ÂifŽ‘*軫(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'errŽ‘}¦·‘ÈÝ"WARNING!È ÝInÈ Ýangle()Ž‘mÇÄ.\n"Ž’ˆ ·‘ÈÝ"pÈ ÝhasÈ ÝmagnitudeÈ Ý0.\Ž‘mÇÄn"Ž‘}–&·Ž¡‘<Ý"ReturningÈ ÝINVALID_RŽ’¤ÿÊEAL.\n"Ž’ÊF«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_REALŽ’m«;Ž¡‘·gŽ¡‘ÂelseŽ‘+ØáreturnŽ‘O¿›«(180ŽŽ‘±=ÝPIŽ‘ ?B·‘8àÏac‘ÿ}'osŽ‘ô9«(Ïdot‘‰ffŽ‘®pr–ÿ}'o“ductŽ‘2€!«(±pŽ‘«)±=«(ÏmagŽ‘¾·‘8àÏp‘‰ffŽ‘®magŽ‘LA«)));Ž¡‘ -·gŽŸÂ506.‘ üUnit‘ÕTv®9ector.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.10.27.«]Ž‘Y·ùAdded–a“second“vš¸ãersion.‘If“ÏassignŽ‘#åB«is“not“used,‘1Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘4Æx«(‘ª®)“can“bGe“ÂconstŽ‘Ú`«,‘1so“I‘æno˜wŽ¡ha•¸ãv“e–<ça“ÂconstŽ‘!O«vš¸ãersion“with“no“argumen˜t“and“a“non-ÂconstŽ‘4«one“for“assignmen˜t“that“should“bGe“called“with“theŽ¡argumen¸ãt‘UUÏtrueŽ‘í«.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽŸ507.– üWith‘zÖassignmen®9t.“«This–¤vš¸ãersion“should“only“ev˜er“bGe“called“with“ÏtrueŽ‘Ñà«as“its“argumen˜t.‘WŒUsing“ÏfalseŽŽ¡«will–UUwš¸ãork,“unless“·Ž‘UVÏthisŽ‘–a«is“ÂconstŽ‘*¢«,“in“whic˜h“case“it“will“cause“an“compilation“error.‘qÇ[¬LDF‘T2002.10.27.«]ŽŽ¡‘ -If–˜Óthe“optional“ÏsilentŽ‘身argumenš¸ãt“is“ÏtrueŽ‘]k«,‘¾‡w˜arning“messages“will“bšGe“suppressed,–¾‡otherwise,“they–˜Ówill“b˜e“issued.Ž¡The‘ýIÂconstŽ‘"Ïß«v•¸ãersion›ýIbGelo“w˜can't˜ha“v“e˜an˜optional˜ÏsilentŽ‘ ±¦«argumen“t,‘'EbGecause˜that˜w“ould˜mak“e˜a˜call˜to˜thisŽ¡function–UUwith“one“argumenš¸ãt“am˜biguous.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +·gŽŸÂ506.‘ üUnit‘ÕTv®9ector.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.10.27.«]Ž‘Y·ùAdded–a“second“vš¸ãersion.‘If“ÏassignŽ‘#åB«is“not“used,‘1Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘4Æx«(‘ª®)“can“bGe“ÂconstŽ‘Ú`«,‘1so“I‘æno˜wŽ¡ha•¸ãv“e–<ça“ÂconstŽ‘!O«vš¸ãersion“with“no“argumen˜t“and“a“non-ÂconstŽ‘4«one“for“assignmen˜t“that“should“bGe“called“with“theŽ¡argumen¸ãt‘UUÏtrueŽ‘í«.ަŸüÈ„`ÕÁGŽŽŸÂ507.– üWith‘zÖassignmen®9t.“«This–¤vš¸ãersion“should“only“ev˜er“bGe“called“with“ÏtrueŽ‘Ñà«as“its“argumen˜t.‘WŒUsing“ÏfalseŽŽ¡«will–UUwš¸ãork,“unless“·Ž‘UVÏthisŽ‘–a«is“ÂconstŽ‘*¢«,“in“whic˜h“case“it“will“cause“an“compilation“error.‘qÇ[¬LDF‘T2002.10.27.«]ŽŽ¡‘ +If–˜Óthe“optional“ÏsilentŽ‘身argumenš¸ãt“is“ÏtrueŽ‘]k«,‘¾‡w˜arning“messages“will“bšGe“suppressed,–¾‡otherwise,“they–˜Ówill“b˜e“issued.Ž¡The‘ýIÂconstŽ‘"Ïß«v•¸ãersion›ýIbGelo“w˜can't˜ha“v“e˜an˜optional˜ÏsilentŽ‘ ±¦«argumen“t,‘'EbGecause˜that˜w“ould˜mak“e˜a˜call˜to˜thisŽ¡function–UUwith“one“argumenš¸ãt“am˜biguous.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.10.27.«]Ž‘Y;If‘UUÏmagnitudeŽ‘1’Ç«(›ª®)–UUfails,“Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘3êÊ«(˜)“no¸ãw“returns“ÝINVALID_POINTŽ‘Kpë«instead“of“ÏoriginŽ‘Kv«.Ž¡‘ -[¬LDF‘T2003.07.01.«]Ž‘XŽ'Added–ÛAthe“ÏsilentŽ‘m–«argumenš¸ãt“to“suppress“w˜arning“messages.‘II‘Û"k˜ept“getting“w˜arnings“whenŽ¡this–˜/function“wš¸ãas“called“from“in˜tersection“functions,‘¾in“cases“where“it“w˜asn't“a“problem,‘¾that“a“ÂP•®9oin“tŽ‘ ʦ«(v˜ector)Ž¡had–UU0“magnitude.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ -ÂP•®9oin“tŽ‘(ïžÏunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘Y…«(ÂconstŽ‘*¢b•QÇo“olŽ‘7ÌÏassignŽ‘S§$±;‘ª¨ÂconstŽ‘ÕJb•QÇo“olŽ‘9v°ÏsilentŽ‘TôÜ«=‘ÇÏfalseŽ‘v\«);ŽŽŽŒ‹ˆm× Šn ý‘ì«136–­WITH‘ÕXASSIGNMENT’ ¨t3DLDFPRÃŽG“·x«508Ž €n ý•@PÂ508.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ 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<‘Ç«3Ž“;‘ÿý±iŽ‘ññŸÿ®+‘ÿ+ŽŽ‘¹«)‘Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Rþ«[±iŽ‘qô«]‘DZ=«=ŽŽ‘UO±mŽ‘«;Ž¡‘Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘a«[3Ž‘]–Ç=“1Ž‘Ç;‘±=·‘ÿý«[¬LDF‘T2002.10.27.«]Ž‘T7Setting–UUthe“w-cošGordinate“to“1,“just“to“b˜e“sure.‘o·±=Ž¡‘ÂreturnŽ‘7æ¼·Ž‘<æ½ÏthisŽ‘MÒs«;Ž¡‘ ·gŽŸÂ509.‘ üconst–ÕT(no“assignmen®9t).ަ·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ ÂP•®9oin“tŽ‘(ïžÏunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘Y…«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŸÂ510.ަ·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·Ž¡‘ ÂP•®9oin“tŽ‘(ïžP•®9oin“tŽ‘E‰ê«::‘Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘1•y«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂP•®9oin“tŽ‘2aŽ‘88Ï«(·Ž‘ÏthisŽ‘ë·«);ަ‘ÂreturnŽ‘7æ¼±aŽ‘=/ì:Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘0•u«(Ïtrueޑƫ);Ž¡‘ -·gŽŸÂ511.‘ üMediation.ަ·h›ª¨«Declare–UUnon-mem¸ãbGer“functions“for“ÂP•®9oin“tsŽ‘'¸Ý­436˜·i‘Ç«+·Ž¡‘ -ÂP•®9oin“tŽ‘(ïžÏme‘ÿ}'diateŽ‘K­«(ÂP•®9oin“tŽ‘ïÏp0Ž‘+]±;‘ª¨ÂP•®9oin“tŽ‘ šEÏp1Ž‘,±±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±rŽ‘>¤«=‘DZ:«5ŽŽ‘ -Ž6);ŽŽŽŒ‹‰}) Šn ý‘ì·x«512–­3DLDFPRÃŽG’/Ð MEDIA‘ÿJªTION“«137Ž €n ý•@PÂ512.Ž©·h›ª¨«De ne–UUnon-mem¸ãbGer“functions“for“ÂP•®9oin“tsŽ‘'¸Ý­437˜·i‘Ç«+·ޤ ‘ -ÂP•®9oin“tŽ‘(ïžÏme‘ÿ}'diateŽ‘K­«(ÂP•®9oin“tŽ‘ïÏp0Ž‘+]±;‘ª¨ÂP•®9oin“tŽ‘ šEÏp1Ž‘,±±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±rŽ‘;RŒ«)Ž¡‘ -·fŽ¡‘Ïp0Ž‘ ±:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);Ž¡‘Ïp1Ž‘ ±:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);Ž¡‘Ïp0Ž‘"ÝÚ·«=ŽŽ‘2l(1Ž‘8á·‘8à±rŽ‘ô«);Ž¡‘Ïp1Ž‘"ÝÚ·«=ŽŽ‘2l±rŽ‘76%«;Ž¡‘ÂreturnŽ‘7漫(Ïp0Ž–O «+‘8àÏp1Ž“«);Ž¡‘ +·gŽŸÂ511.‘ üMediation.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.12.09.«]Ž‘Y;Changed–UUfrom“a“non-memš¸ãbGer“to“a“ÂconstŽ‘!÷«mem˜bGer“function.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ +ÂP•®9oin“tŽ‘(ïžÏme‘ÿ}'diateŽ‘K­«(ÂP•®9oin“tŽ‘ï±pŽ‘#÷;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±rŽ‘>¤«=‘DZ:«5ŽŽ‘ +Ž6)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹Š~ Šn ý‘ì«138–­MEDIA‘ÿJªTION’/Ð 3DLDFPRÃŽG“·x«512Ž €n ý•@PÂ512.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ +ÂP•®9oin“tŽ‘(ïžP•®9oin“tŽ‘E‰ê«::‘Ïme‘ÿ}'diateŽ‘#½y«(ÂP•®9oin“tŽ‘ï±pŽ‘#÷;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±rŽ‘;RŒ«)‘UUÂconstŽŽ¡‘ +·fŽ¡‘ÂP•®9oin“tŽ‘2tŽ‘6Œ«(·Ž‘ÏthisŽ‘ë·«);ަ‘±tŽ‘cŒ·«=ŽŽ‘)ñÃ(1Ž‘8á·‘8à±rŽ‘ô«);Ž¡‘±pŽ‘Ï·«=ŽŽ‘+]Q±rŽ‘0'e«;Ž¡‘ÂreturnŽ‘7漫(±tŽ‘ÕR«+‘8à±pŽ‘@à«);Ž¡‘ ·gŽŸÂ513.– üGet‘/normal.“Ïget‘‰ffŽ‘®normalŽ‘< -p«(‘ª®)–ĵm¸ãust“bšGe“de ned“in“Èpaths.web«,‘á¢b˜ecause“it“uses“a“ÂP®9athŽ‘Ϋin“its“de nition,Ž¡whicš¸ãh–UUis“an“incompletely“de ned“t˜ypGe“in“this“ le.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.07.11.«]Ž‘Y;Added–UUthis“declaration.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ +p«(‘ª®)–ĵm¸ãust“bšGe“de ned“in“Èpaths.web«,‘á¢b˜ecause“it“uses“a“ÂP®9athŽ‘Ϋin“its“de nition,Ž¡whicš¸ãh–UUis“an“incompletely“de ned“t˜ypGe“in“this“ le.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.07.11.«]Ž‘Y;Added–UUthis“declaration.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ ÂP•®9oin“tŽ‘(ïžÏget‘‰ffŽ‘®normalŽ‘Yz«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié];‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒ±qŽ‘K^¯«)‘UUÂconstŽ‘*¢«;ޤÂ514.‘ üComparison.Ž¡515.– üEqualit®9y‘ÿ «.“«!!‘RˆI‘÷ma•¸ãy›÷™ha“v“e˜to˜adjust˜to˜v‘ÿqÇalue˜of˜ÏepsŽ‘[«.‘RˆIt˜w“ould˜b•Ge˜nice˜to˜b“e˜able˜to˜use˜ÏepsilonŽ‘"f«(‘ª®),‘ Xbutޤ for– ,other“purpšGoses“ÏepsilonŽ‘"{0«(‘ª®)“m¸ãust“b˜e“smaller.‘YdT‘ÿ*ªransformations“seem“to“cause“fairly“large“inaccuracies“in“theŽ¡v‘ÿqÇalues–UUof“the“coGordinates,“so“I“need“greater“tolerance“in“the“functions“testing“for“equalitš¸ãy“and“inequalit˜y‘ÿ*ª.Ž¡‘ -This–1Øfunction“could“bGe“formš¸ãulated“more“succinctly‘ÿ*ª,‘8ñbut“I‘1Ïhad“some“trouble“getting“it“to“w˜ork“propGerly‘ÿ*ª,‘8ñsoŽ¡I'm–UUleaš¸ãving“it“in“its“more“v˜erbGose“form,“in“case“I“ha˜v˜e“to“debug“it“some“more.ŽŸÂ516.‘ üNon-const‘ÕTv®9ersion.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +This–1Øfunction“could“bGe“formš¸ãulated“more“succinctly‘ÿ*ª,‘8ñbut“I‘1Ïhad“some“trouble“getting“it“to“w˜ork“propGerly‘ÿ*ª,‘8ñsoŽ¡I'm–UUleaš¸ãving“it“in“its“more“v˜erbGose“form,“in“case“I“ha˜v˜e“to“debug“it“some“more.ŽŸÂ516.‘ üNon-const‘ÕTv®9ersion.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.10.27.«]Ž‘Y1ãRevised–~ýthis“function.›î¾No¸ãw“using“ÂP•®9oin“tŽ‘"˜B±aŽ‘+`o«and“ÂP•®9oin“tŽ‘"˜B±qŽ‘'jì«.˜Added“ÏfactorŽ‘"Ø«and“using“it“asŽ¡the–,Rargumen¸ãt“to“Ïcle‘ÿ}'anŽ‘mÔ«(‘ª®)“and“for“calculating“ÏepsŽ‘N«.‘dSince“this“function“is“an“opšGerator,‘4†it's“not“p˜ossible“to“passŽ¡ÏfactorŽ‘:[«as–6}an“argumenš¸ãt,‘nÇunfortunately‘ÿ*ª.‘?Using“Ïcle‘ÿ}'anŽ‘wÿ«(ÏfactorŽ‘Þ«)“mak˜es“it“pšGossible“to“compare“the“co˜ordinatesŽ¡with–¢0“directly“rather“than“using“ÏfabsŽ‘ÔÙ«(‘ª®)“and“ÏepsŽ‘ÃÉ«.‘WÝAlso,‘µ4ÂopQÇeratorŽ‘/Ké·Ž‘7«(‘ª¨)“no¸ãw“uses“Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘TX «directlyŽ¡rather–UUthan“Ïget‘‰ffŽ‘®xŽ‘㼫(›ª®),“Ïget‘‰ffŽ‘®yŽ‘Ék«(˜),“and“Ïget‘‰ffŽ‘®zŽ‘]V«(˜).Ž¡‘ -[¬LDF‘T2003.07.09.«]Ž‘Y;Made–UUthis“function“non-ÂconstŽ‘ÕM«,“and“added“ÂconstŽ‘!÷«vš¸ãersion“bGelo˜w.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ -Âb•QÇo“olŽ‘#¡gopQÇeratorŽ‘O8·Ž‘Vÿ:«(ÂP•®9oin“tŽ‘ï±pŽ‘#÷«);ŽŽŽŒ‹Šˆ Šn ý‘ì«138–­NON-ÂCONST‘ÕX­VERSION’úAÕ3DLDFPRÃŽG“·x«517Ž €n ý•@PÂ517.ޤ·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·Ž© ‘ +[¬LDF‘T2003.07.09.«]Ž‘Y;Made–UUthis“function“non-ÂconstŽ‘ÕM«,“and“added“ÂconstŽ‘!÷«vš¸ãersion“bGelo˜w.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ +Âb•QÇo“olŽ‘#¡gopQÇeratorŽ‘O8·Ž‘Vÿ:«(ÂP•®9oin“tŽ‘ï±pŽ‘#÷«);ŽŽŽŒ‹‹Š  Šn ý‘ì·x«517–­3DLDFPRÃŽG’úAÕNON-ÂCONST‘ÕX­VERSION“«139Ž €n ý•@PÂ517.ޤ·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·Ž© ‘ Âb•QÇo“olŽ‘#¡gP•®9oin“tŽ‘@;³«::Ž‘FÉñÂopQÇeratorŽ‘r`¦·Ž‘z'Ä«(ÂP•®9oin“tŽ‘ï±pŽ‘#÷«)·f‘UUÂb•QÇo“olŽ‘ö»ÝDEBUGŽ‘:„,«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝPoint::opeŽ‘kÆÜrator==()"Ž’£”>·‘ÇÝ"\n"Ž‘Œ·‘ÇÏ ushŽ‘€«;Ž¡‘ÂunsignedŽ‘N7shortŽ‘l´ÏfactorŽ’‰Ìª«=‘Ç10ŽŽ‘ Ç;‘±=·‘ÿý«LDF‘UU2002.10.27.‘qÇAdded.‘o·±=Ž¡‘Ïcle‘ÿ}'anŽ‘5A…«(ÏfactorŽ‘Þ«);ަ‘±pŽ‘#:Ïcle‘ÿ}'anŽ‘A‚«(ÏfactorŽ‘Þ«);Ž¡‘ÂrealŽ‘4³1ÏepsŽ‘Fœ «=‘ÇÏepsilonŽ‘"6«(‘ª¨)–8à·“ÏfactorŽ‘<¾«;‘±=·‘ÿý«This–UUcurrenš¸ãtly“mak˜es“ÏepsŽ‘Ìl·‘DZ:«0001.‘o·±=ަ‘ÂrealŽ‘4³1Ït‘‰ffŽ‘®xŽ‘DÕ‚«=‘ÇÏworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘OÛ«[0Ž‘];ަ‘ÂrealŽ‘4³1Ït‘‰ffŽ‘®yŽ‘D»1«=‘ÇÏworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘OÛ«[1Ž‘];ަ‘ÂrealŽ‘4³1Ït‘‰ffŽ‘®zŽ‘DO«=‘ÇÏworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘OÛ«[2Ž‘];ަ‘ÂrealŽ‘4³1Ïp‘‰ffŽ‘®xŽ‘FŸw«=‘DZpŽ‘Ï:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Mþ«[0Ž‘];ަ‘ÂrealŽ‘4³1Ïp‘‰ffŽ‘®yŽ‘F…&«=‘DZpŽ‘Ï:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Mþ«[1Ž‘];ަ‘ÂrealŽ‘4³1Ïp‘‰ffŽ‘®zŽ‘F«=‘DZpŽ‘Ï:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Mþ«[2Ž‘];ŽŸÂ518.‘ üP•®9oin“tsŽ‘/À«are–™frequen¸ãtly“compared“to“ÝINVALID_POINTŽ‘HâÚ«,‘Njso“it's“bGest“to“suppress“debugging“output“forަthese–UUcomparisons,“bGecause“they're“probably“not“the“ones“wš¸ãe're“in˜terested“in.Ž¡·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ަ‘ ÂifŽ‘Û«(Ït‘‰ffŽ‘®xŽ‘aÊ·‘‘ÝINVALID_REALŽ–Dß·_‘RDÏt‘‰ffŽ‘®yŽ‘™½·‘‘ÝINVALID_REALŽ“·_‘RDÏt‘‰ffŽ‘®zŽ‘-¨·‘‘ÝINVALID_REALŽ“·_‘RDÏp‘‰ffŽ‘®xŽ‘~·‘‘ÝINVALID_REALŽ“·_‘RDÏp‘‰ffŽ‘®yŽ‘c²·ަ‘(ÝINVALID_REALŽ‘i¿(·_‘8àÏp‘‰ffŽ‘®zŽ‘žÀ·‘ÇÝINVALID_REALŽ‘BM\«)‘ÝDEBUGŽ‘"q«=‘ÇÏfalseŽ‘v\«;ŽŸÂ519.‘ ü«Debugging‘UUoutput.Ž¡·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ަ‘ ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘·fަ‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"t_xÈ Ý==È Ý"Ž‘5T}·‘ÇÏt‘‰ffŽ‘®xŽ‘éi·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;ަ‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"t_yÈ Ý==È Ý"Ž‘5T}·‘ÇÏt‘‰ffŽ‘®yŽ‘Ï·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;ަ‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"t_zÈ Ý==È Ý"Ž‘5T}·‘ÇÏt‘‰ffŽ‘®zŽ‘c·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;ަ‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"p_xÈ Ý==È Ý"Ž‘5T}·‘ÇÏp‘‰ffŽ‘®xŽ‘³^·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;ަ‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"p_yÈ Ý==È Ý"Ž‘5T}·‘ÇÏp‘‰ffŽ‘®yŽ‘™ ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;ަ‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"p_zÈ Ý==È Ý"Ž‘5T}·‘ÇÏp‘‰ffŽ‘®zŽ‘,ø·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;ަ‘ -·gŽŸÂ520.‘ ü«Chec¸ãk–UUwhether“the“cošGordinates“of“b˜oth“ÂP•®9oin“tsŽ‘&Î.«are“all“0.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ +·gŽŸÂ520.‘ ü«Chec¸ãk–UUwhether“the“cošGordinates“of“b˜oth“ÂP•®9oin“tsŽ‘&Î.«are“all“0.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¦‘ «[¬LDF‘T2002.10.27.«]Ž‘XTNo¸ãw–¡6that“Ïcle‘ÿ}'anŽ‘⸫(10ŽŽ› -)“and“±pŽ‘©6:Ïcle‘ÿ}'anŽ‘A‚«(10ŽŽ˜)“are“called“abGo•¸ãv“e,‘Å„`ÊŽŽ¡·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ަ‘ +)“and“±pŽ‘©6:Ïcle‘ÿ}'anŽ‘A‚«(10ŽŽ˜)“are“called“abGo•¸ãv“e,‘Å‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ -«[¬LDF‘T2002.10.27.«]Ž‘Xg€As–´šin“the“previous“section,›Ô¿c¸ãhanged“so“that“the“coGordinates“are“compared“with“0,˜insteadŽ¡of–UUusing“ÏfabsŽ‘ˆ'«(‘ª®)“and“ÏepsŽ‘w«.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ +·gŽŽŽŒ‹Œ•Ñ Šn ý‘ì«140–­NON-ÂCONST‘ÕX­VERSION’úAÕ3DLDFPRÃŽG“·x«521Ž €n ý•@PÂ521.‘ ü«Get–UUthe“signs“of“the“coGordinates.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¤ ‘ +«[¬LDF‘T2002.10.27.«]Ž‘Xg€As–´šin“the“previous“section,›Ô¿c¸ãhanged“so“that“the“coGordinates“are“compared“with“0,˜insteadŽ¡of–UUusing“ÏfabsŽ‘ˆ'«(‘ª®)“and“ÏepsŽ‘w«.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ ÂsignedŽ‘-o÷shortŽ‘K:šÏt‘‰ffŽ–®x‘‰ffŽ“signŽ‘m4´«;Ž¡‘ ÂsignedŽ‘-o÷shortŽ‘K:šÏt‘‰ffŽ–®y‘‰ffŽ“signŽ‘ml*«;Ž¡‘ ÂsignedŽ‘-o÷shortŽ‘K:šÏt‘‰ffŽ–®z‘‰ffŽ“signŽ‘l§ç«;Ž¡‘ @@ -1901,7 +1932,7 @@ ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"t_x_signÈ Ý==È Ý"Ž‘O”n·‘ÇÏt‘‰ffŽ–®x‘‰ffŽ“signŽ‘'ˆJ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"t_y_signÈ Ý==È Ý"Ž‘O”n·‘ÇÏt‘‰ffŽ–®y‘‰ffŽ“signŽ‘'¿À·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"t_z_signÈ Ý==È Ý"Ž‘O”n·‘ÇÏt‘‰ffŽ–®z‘‰ffŽ“signŽ‘&û}·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"p_x_signÈ Ý==È Ý"Ž‘O”n·‘ÇÏp‘‰ffŽ–®x‘‰ffŽ“signŽ‘)R?·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"p_y_signÈ Ý==È Ý"Ž‘O”n·‘ÇÏp‘‰ffŽ–®y‘‰ffŽ“signŽ‘)‰µ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"p_z_signÈ Ý==È Ý"Ž‘O”n·‘ÇÏp‘‰ffŽ–®z‘‰ffŽ“signŽ‘(År·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ ·gŽ¡‘ ÂifŽ‘´ù«((Ït‘‰ffŽ–®x‘‰ffŽ“signŽ‘$Á2·6«=‘ÇÏp‘‰ffŽ–®x‘‰ffŽ“signŽ‘&‹'«)–8à·_“«(Ït‘‰ffŽ–®y‘‰ffŽ“signŽ‘$ø¨·6«=‘ÇÏp‘‰ffŽ–®y‘‰ffŽ“signŽ‘&«)“·_“«(Ït‘‰ffŽ–®z‘‰ffŽ“signŽ‘$4e·6«=‘ÇÏp‘‰ffŽ–®z‘‰ffŽ“signŽ‘%þZ«))‘·fŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)Ž¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"AtÈ ÝleastÈ ÝoneÈ ÝcoordiŽ‘kÆÜnateÈ ÝpairÈ ÝhasÈ ÝsignsÈ Ž’ÔÆ ÝthatÈ Ýdiffer.È Ý"Ž’!“ö·‘ÇÝ"ReturningÈ Ýfalse.\n"Ž‘lMD«;Ž¡‘ÂreturnŽ‘7æ¼ÏfalseŽ‘L–«;Ž¡‘ -·gŽŽŽŒ‹Œ¤É Šn ý‘ì«140–­NON-ÂCONST‘ÕX­VERSION’úAÕ3DLDFPRÃŽG“·x«522Ž €n ý•@PÂ522.‘ ü«Get–UUthe“di erence“bGet•¸ãw“een›UUeac“h˜pair˜of˜x,˜y‘ÿ*ª,˜and˜z-coGordinates.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ +·gŽŽŽŒ‹¥ç Šn ý‘ì·x«522–­3DLDFPRÃŽG’úAÕNON-ÂCONST‘ÕX­VERSION“«141Ž €n ý•@PÂ522.‘ ü«Get–UUthe“di erence“bGet•¸ãw“een›UUeac“h˜pair˜of˜x,˜y‘ÿ*ª,˜and˜z-coGordinates.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ Ït‘‰ffŽ‘®xŽ‘"R«=‘ÇÏfabsŽ‘ùê«(Ït‘‰ffŽ‘®xŽ‘ [9«);Ž¡‘ Ït‘‰ffŽ‘®yŽ‘«=‘ÇÏfabsŽ‘ùê«(Ït‘‰ffŽ‘®yŽ‘ @è«);Ž¡‘ Ït‘‰ffŽ‘®zŽ‘›ì«=‘ÇÏfabsŽ‘ùê«(Ït‘‰ffŽ‘®zŽ‘ ÔÓ«);Ž¡‘ @@ -1919,14 +1950,14 @@ ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"rÈ Ý==È Ý"Ž‘*Ôƒ·‘DZrŽ‘ XD·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝPoint::operŽ‘kÆÜator==()"Ž’žTA·‘ÇÝ"\n"Ž‘Œ·‘ÇÏ ushŽ‘€«;Ž¡‘ -ÂreturnŽ‘-æ»±rŽ‘2°Ï«;‘qÇ·gŽŸÂ523.– üconst‘Êcv®9ersion.“«[¬LDF‘T2003.07.09.«]Ž‘Y This–m5function“merely“copies“·Ž‘m6ÏthisŽ‘Æ!«and“calls“the“non-ÂconstŽ‘B‚«v¸ãersionŽ¡on–CÏthe“cop¸ãy‘ÿ*ª.‘kðHere,‘GP±pŽ‘ “«can“bšGe“a“ÂconstŽ‘!\ëP•®9oin“tŽ‘@;«&Ž‘H ,‘GPb˜ecause“this“function“do˜es“nothing“but“pass“it“to“non-ÂconstŽŽ¡«vš¸ãersion,–UUwhere“it“is“passed“b˜y“v‘ÿqÇalue.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.07.09.«]Ž‘Y;Added–UUthis“vš¸ãersion.‘qÇMade“the“original“v˜ersion“non-ÂconstŽ‘ÕM«.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ +ÂreturnŽ‘-æ»±rŽ‘2°Ï«;‘qÇ·gŽŸÂ523.– üconst‘Êcv®9ersion.“«[¬LDF‘T2003.07.09.«]Ž‘Y This–m5function“merely“copies“·Ž‘m6ÏthisŽ‘Æ!«and“calls“the“non-ÂconstŽ‘B‚«v¸ãersionŽ¡on–CÏthe“cop¸ãy‘ÿ*ª.‘kðHere,‘GP±pŽ‘ “«can“bšGe“a“ÂconstŽ‘!\ëP•®9oin“tŽ‘@;«&Ž‘H ,‘GPb˜ecause“this“function“do˜es“nothing“but“pass“it“to“non-ÂconstŽŽ¡«vš¸ãersion,–UUwhere“it“is“passed“b˜y“v‘ÿqÇalue.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.07.09.«]Ž‘Y;Added–UUthis“vš¸ãersion.‘qÇMade“the“original“v˜ersion“non-ÂconstŽ‘ÕM«.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ Âb•QÇo“olŽ‘#¡gopQÇeratorŽ‘O8·Ž‘Vÿ:«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«)‘UUÂconstŽ‘*¢«;ŽŸÂ524.ަ·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·Ž¡‘ Âb•QÇo“olŽ‘#¡gP•®9oin“tŽ‘@;³«::Ž‘FÉñÂopQÇeratorŽ‘r`¦·Ž‘z'Ä«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂP•®9oin“tŽ‘2ïŸÏc‘ÿ}'opyŽ‘G—«(·Ž‘ÏthisŽ‘ë·«);ަ‘ÂreturnŽ‘7漫(Ïc‘ÿ}'opyŽ‘W·‘DZpŽ‘Ï«);Ž¡‘ ·gŽŸÂ525.‘ üInequalit®9y‘ÿ «.ަ·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž¡‘ -Âb•QÇo“olŽ‘#¡gopQÇeratorŽ‘O8·6«=Ž‘Vÿ:(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹¶þ Šn ý‘ì·x«526–­3DLDFPRÃŽG’+U¸INEQUALITY“«141Ž €n ý•@PÂ526.ŽŸ·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ +Âb•QÇo“olŽ‘#¡gopQÇeratorŽ‘O8·6«=Ž‘Vÿ:(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹Ž·ñ Šn ý‘ì«142–­INEQUALITY’+U¸3DLDFPRÃŽG“·x«526Ž €n ý•@PÂ526.ŽŸ·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ Âb•QÇo“olŽ‘#¡gP•®9oin“tŽ‘@;³«::Ž‘FÉñÂopQÇeratorŽ‘r`¦·6«=Ž‘z'Ä(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼·:«(·Ž‘ÏthisŽ‘²Ï·‘DZpŽ‘Ï«);Ž¡‘ ·gŽ©Â527.‘ üIn®9tersection.Ž¡‘ @@ -1935,15 +1966,15 @@ «ector‘W§v®9ersion.“«[¬LDF‘T2003.06.29.«]Ž‘[Ø%De ned–¥Din“Èlines.web«,‘ù?bšGecause“ÂLineŽ‘£ «is“an“incomplete“t¸ãyp˜eŽ¡here.Ž¡‘ The–våalgorithm“used“in“this“function“is“takš¸ãen“from“Jones,‘IHu˜w.‘ÖxÏComputer–²ÈGr›ÿ}'aphics“Thr˜ough“Key“Mathe-Ž¡matics«,–UUpp.“208{311.‘qÇSee“ÂReferences“«for“the“complete“reference.Ž¡‘ !!‘&ÑIt–çma¸ãy“bšGe“necessary“or“desirable“to“add“ÂtryŽ‘ê4±:–ª¨:“:Ž‘”ÛÂcatc®9hŽ‘>i³«blo˜c¸ãks“where“calculations“are“p˜erformed“b˜elo¸ãw,Ž¡just–UUin“case“o•¸ãv“er o“w‘UUoGccurs.Ž¡‘ -!!‘>BUnder–D)Linš¸ãux,‘ÝbGoth“this“function“and“the“v˜ersion“of“Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘UÑ«(‘ª®)“using“traces“ha˜v˜e“failed“inŽ¡the–cksame“cases,‘fñwhicš¸ãh“in˜v˜olv˜ed“coplanar“lines“whic˜h“had“bšGeen“rotated“ab˜out“the“z-axis“or“the“y“and“z-axes.Ž¡I‘€¥suspGect–€òit“has“to“do“with“the“routines“for“sine“and“cosine,‘ËÙsince“I'v¸ãe“had“trouble“with“rotation“in“theŽ¡constructors–UUfor“ÂP®9olyhedraŽ‘6Ö±«.‘qÇ[¬LDF‘T2003.06.29.«]ŽŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +!!‘>BUnder–D)Linš¸ãux,‘ÝbGoth“this“function“and“the“v˜ersion“of“Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘UÑ«(‘ª®)“using“traces“ha˜v˜e“failed“inŽ¡the–cksame“cases,‘fñwhicš¸ãh“in˜v˜olv˜ed“coplanar“lines“whic˜h“had“bšGeen“rotated“ab˜out“the“z-axis“or“the“y“and“z-axes.Ž¡I‘€¥suspGect–€òit“has“to“do“with“the“routines“for“sine“and“cosine,‘ËÙsince“I'v¸ãe“had“trouble“with“rotation“in“theŽ¡constructors–UUfor“ÂP®9olyhedraŽ‘6Ö±«.‘qÇ[¬LDF‘T2003.06.29.«]ŽŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.04.10.«]Ž‘Y;Added–UUthis“function.‘qÇIt“replaces“the“old“vš¸ãersion,“bGelo˜w.Ž¡‘ [¬LDF‘T2002.04.12.«]Ž‘YòÈRemo•¸ãv“ed–?âthe“de nition“of“this“function“to“Èlines.web«,‘z…bGecause“it“requires“the“use“ofŽ¡ÂLinesŽ‘á¿«,–UUand“ÂLineŽ‘-«is“an“incomplete“t¸ãypGe“here.Ž¡‘ -[¬LDF‘T2003.06.29.«]Ž‘YÝStarted–Ì÷using“this“vš¸ãersion“again.‘Ø®Bug“ xes“I'v˜e“made“elsewhere“seem“to“ha˜v˜e“made“itŽ¡function.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·ޤ ‘ +[¬LDF‘T2003.06.29.«]Ž‘YÝStarted–Ì÷using“this“vš¸ãersion“again.‘Ø®Bug“ xes“I'v˜e“made“elsewhere“seem“to“ha˜v˜e“made“itŽ¡function.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·ޤ ‘ ÂstaticŽ‘(Þºb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘a5Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ’®³ «(ÂconstŽ‘À‚P•®9oin“tŽ‘‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.10.27.«]Ž‘XåtChanged–2Žthe“ÂconstŽ‘!:iP•®9oin“tŽ‘@?«&Ž‘Këargumenš¸ãts“to“ÂP•®9oin“tŽ‘ÌÖ«,‘9ƒbGecause“I‘2…had“to“cop˜y“them“an˜yw˜a˜yŽ¡in–UUorder“to“call“Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Iu4«(‘ª®)“on“them.ŽŽŽŒ‹ŽÅs Šn ý‘ì«142›­TRA•ÃŽCE‘ÕXVERSION’S†3DLDFPR“G˜·x«529Ž €n ý•@P‘ -[¬LDF‘T2003.06.29.«]Ž‘Yk›Added–¸µthe“Âb•QÇo“olŽ‘½{«argumen¸ãt“Ïtr–ÿ}'ac“eŽ‘ÏÆ«,‘Ñin“order“to“bšGe“able“to“use“b˜oth“the“v¸ãector“and“traceޤ v•¸ãersions.‘;—Previously‘ÿ*ª,‘ÓHthe›²Åv“ector˜v“ersion˜didn't˜w“ork,‘ÓHand˜w“as˜commen“ted-out.‘;—No“w,‘ÓHbug˜ xes˜elsewhere˜seemŽ¡to›géha•¸ãv“e˜made˜the˜v“ector˜v“ersion˜w“ork.‘©‚Both˜v“ersions,›lho“w“ev“er,˜failed–géunder“Lin¸ãux.‘©‚See“the“T‘þU>ŸÓVEŽ‘ãxXŽ‘l/section“forŽ¡the–UUvš¸ãector“v˜ersion,“abGo˜v˜e,“for“more“information.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž© ‘ +The‘€Âb•QÇo“olŽ‘L?«argumen•¸ãt‘€Ïtr–ÿ}'ac“eŽ‘?«serv“es–€only“to“distinguish“this“function“from“the“vš¸ãector“v˜ersion.‘ò It“doGesn'tŽ¡matter–UUwhether“it's“ÏtrueŽ‘oB«or“ÏfalseŽ‘™«.‘qÇ[¬LDF‘T2003.06.29.«]ŽŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.10.27.«]Ž‘XåtChanged–2Žthe“ÂconstŽ‘!:iP•®9oin“tŽ‘@?«&Ž‘Këargumenš¸ãts“to“ÂP•®9oin“tŽ‘ÌÖ«,‘9ƒbGecause“I‘2…had“to“cop˜y“them“an˜yw˜a˜yŽ¡in–UUorder“to“call“Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Iu4«(‘ª®)“on“them.ŽŽŽŒ‹Æ; Šn ý‘ì·x«529›­3DLDFPR•ÃŽG’S†TRA“CE‘ÕXVERSION˜«143Ž €n ý•@P‘ +[¬LDF‘T2003.06.29.«]Ž‘Yk›Added–¸µthe“Âb•QÇo“olŽ‘½{«argumen¸ãt“Ïtr–ÿ}'ac“eŽ‘ÏÆ«,‘Ñin“order“to“bšGe“able“to“use“b˜oth“the“v¸ãector“and“traceޤ v•¸ãersions.‘;—Previously‘ÿ*ª,‘ÓHthe›²Åv“ector˜v“ersion˜didn't˜w“ork,‘ÓHand˜w“as˜commen“ted-out.‘;—No“w,‘ÓHbug˜ xes˜elsewhere˜seemŽ¡to›géha•¸ãv“e˜made˜the˜v“ector˜v“ersion˜w“ork.‘©‚Both˜v“ersions,›lho“w“ev“er,˜failed–géunder“Lin¸ãux.‘©‚See“the“T‘þU>ŸÓVEŽ‘ãxXŽ‘l/section“forŽ¡the–UUvš¸ãector“v˜ersion,“abGo˜v˜e,“for“more“information.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­284“·i‘Ç«+·Ž© ‘ ÂstaticŽ‘)HÚb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘aðuÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ’¯‡K«(ÂP•®9oin“tŽ‘ïÏp0Ž‘+]±;‘ª¨ÂP•®9oin“tŽ‘ šEÏp1Ž‘,±±;‘ª¨ÂP•®9oin“tŽ‘ šEÏq0Ž–,.,±;‘ª¨ÂP•®9oin“tŽ‘ šEÏq1Ž“±;‘ª¨ÂconstŽ‘ÕJb•QÇo“olŽ‘9v°Ïtr–ÿ}'ac“eŽ‘OÁ«);ŽŸÂ530.Ž¡·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ަ‘ Âb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘BÑP•®9oin“tŽ‘_kL«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ‘N–Ú«(ÂP•®9oin“tŽ‘Ïp0Ž‘+/Á±;‘ª¨ÂP•®9oin“tŽ‘ éÏp1Ž‘,Úi±;‘ª¨ÂP•®9oin“tŽ‘ éÏq0Ž–,W±;‘ª¨ÂP•®9oin“tŽ‘ éÏq1Ž“±;‘ª¨ÂconstŽ‘þ®b•QÇo“olŽ‘9ÉxÏtr–ÿ}'ac“eŽ‘Oà‰«)·fަ‘2Âb•QÇo“olŽ‘K¡kÝDEBUGŽ‘i.Ü«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘·fަ‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"EnteringÈ ÝPoint::intŽ‘kÆÜersection_point().\nŽ’ÔÆ "Ž’ÝT·‘ÇÏ ushŽ‘€«;ަ‘(Ïp0Ž‘4ı:ÏshowŽ‘Šÿ«(Ý"p0"Ž‘†\«);ަ‘(Ïp1Ž‘4ı:ÏshowŽ‘Šÿ«(Ý"p1"Ž‘†\«);ަ‘(Ïq0Ž‘3“ë±:ÏshowŽ‘Šÿ«(Ý"q0"Ž‘†\«);ަ‘(Ïq1Ž‘3“ë±:ÏshowŽ‘Šÿ«(Ý"q1"Ž‘†\«);ަ‘·gŽ¡‘Âb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘V§žÏbpŽ‘a‚«;‘±=·‘ÿý«Return‘UUv‘ÿqÇalue.‘o·±=Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ErrorÈ ÝafterÈ ÝhereÈ Ý0.Ž‘kÆÜ\n"Ž‘~ÔS·‘ÇÏ ushŽ‘€«;ŽŸÂ531.‘ ü«Apply–¦the“transformations,‘%–so“wš¸ãe“ha˜v˜e“the“correct“v‘ÿqÇalues“for“x,–%–y‘ÿ*ª,“and–¦z“in“eac˜h“of“the“ÂP•®9oin“tsŽ‘#=*«.‘]âThenަassign–UUthem“to“v‘ÿqÇariables.Ž¡·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ަ‘ Ïp0Ž‘Á±:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);ަ‘ @@ -1962,7 +1993,7 @@ ÂrealŽ‘ ³/Ïq1‘‰ffŽ‘®xŽ‘79 «=‘ÇÏq1Ž‘Zÿ±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Mþ«[0Ž‘];ަ‘ ÂrealŽ‘ ³/Ïq1‘‰ffŽ‘®yŽ‘7»«=‘ÇÏq1Ž‘Zÿ±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Mþ«[1Ž‘];ަ‘ ÂrealŽ‘ ³/Ïq1‘‰ffŽ‘®zŽ‘6²¦«=‘ÇÏq1Ž‘Zÿ±:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Mþ«[2Ž‘];Ž¡‘ -ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ErrorÈ ÝafterÈ ÝhereÈ Ý1.Ž‘kÆÜ\n"Ž‘~ÔS·‘ÇÏ ushŽ‘€«;ŽŽŽŒ‹ÙÁ Šn ý‘ì·x«532›­3DLDFPR•ÃŽG’S†TRA“CE‘ÕXVERSION˜«143Ž €n ý•@PÂ532.‘ ü«Get‘UUdeltas.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ +ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ErrorÈ ÝafterÈ ÝhereÈ Ý1.Ž‘kÆÜ\n"Ž‘~ÔS·‘ÇÏ ushŽ‘€«;ŽŽŽŒ‹ÚU Šn ý‘ì«144›­TRA•ÃŽCE‘ÕXVERSION’S†3DLDFPR“G˜·x«532Ž €n ý•@PÂ532.‘ ü«Get‘UUdeltas.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ ÂrealŽ‘ ³/Ïdelta‘‰ffŽ–®x‘‰ffŽ“pŽ‘Jn«=‘ÇÏp1‘‰ffŽ‘®xŽ‘A–·‘8àÏp0‘‰ffŽ‘®xŽ‘z~«;Ž¡‘ ÂrealŽ‘ ³/Ïdelta‘‰ffŽ–®y‘‰ffŽ“pŽ‘J¥|«=‘ÇÏp1‘‰ffŽ‘®yŽ‘'E·‘8àÏp0‘‰ffŽ‘®yŽ‘`-«;Ž¡‘ ÂrealŽ‘ ³/Ïdelta‘‰ffŽ–®z‘‰ffŽ“pŽ‘Iá9«=‘ÇÏp1‘‰ffŽ‘®zŽ‘»0·‘8àÏp0‘‰ffŽ‘®zŽ‘ô«;Ž¡‘ @@ -1992,7 +2023,7 @@ ÂifŽ‘´ù«(Ïslop‘ÿ}'e‘‰ffŽ–®q‘‰ffŽ“x‘‰ffŽ“yŽ‘2Ce·6«=‘ÇÝINVALID_REALŽ‘BM\«)‘±=·‘ÿý«±xŸÿ´qŽ‘1­·6«=‘Ç0.‘o·±=Ž¡‘ ·fŽ¡‘Ïy‘‰ffŽ–®int‘‰ffŽ“qŽ‘5«=‘ÇÏq0‘‰ffŽ‘®yŽ‘¤l·–8à«(Ïslop‘ÿ}'e‘‰ffŽ–®q‘‰ffŽ“x‘‰ffŽ“yŽ‘1µ-·“Ïq0‘‰ffŽ‘®xŽ‘÷¥«);Ž¡‘ ·gŽ¡‘ -ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ErrorÈ ÝafterÈ ÝhereÈ Ý6.Ž‘kÆÜ\n"Ž‘~ÔS·‘ÇÏ ushŽ‘€«;ŽŽŽŒ‹ê Šn ý‘ì«144›­TRA•ÃŽCE‘ÕXVERSION’S†3DLDFPR“G˜·x«536Ž €n ý•@PÂ536.ޤ ·Ž‘ +ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ErrorÈ ÝafterÈ ÝhereÈ Ý6.Ž‘kÆÜ\n"Ž‘~ÔS·‘ÇÏ ushŽ‘€«;ŽŽŽŒ‹‘ê Šn ý‘ì·x«536›­3DLDFPR•ÃŽG’S†TRA“CE‘ÕXVERSION˜«145Ž €n ý•@PÂ536.ޤ ·Ž‘ «If–vŒbGoth“of“the“traces“of‘‹±~Ž“pŽŽ‘ õ«and‘pU±~Ž“qŽŽ‘ ¿Â«in“the“x-y“plane“are“parallel“to“the“y-axis“(i.e.,›~Ù±x–þs«=“0),˜w¸ãe–vŒtest“whetherŽ¡‘ ±pŸÿ´xŽ‘9«=‘0±qŸÿ´xŽ‘ä«.›.ÔIf–”Ythey“are,‘¤then“w¸ãe“set“Ïx‘‰ffŽ‘®iŽ‘«to“that“v‘ÿqÇalue.˜If“they're“not,›¤the“lines“don't“in¸ãtersect,˜so“w¸ãe“returnŽ¡‘ ÝINVALID_POINTŽ‘NÆB«.Ž¡·Ž‘ @@ -2004,7 +2035,7 @@ ÂifŽ‘´ù«(Ïy‘‰ffŽ–®int‘‰ffŽ“pŽ‘!Aö·‘ÇÝINVALID_REALŽ‘D†<·^‘8àÏy‘‰ffŽ–®int‘‰ffŽ“qŽ‘#8â·‘ÇÝINVALID_REALŽ‘BM\«)Ž¡‘±=·‘q±~Ž‘ÿýpŸÿ´xzŽŽŽ‘Ç«and‘O±~Ž‘UUqŸÿ´xzŽŽŽ‘Eð«are–UUbGoth“parallel“to“the“z-axis.‘o·±=Ž¡‘ ·fŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ErrorÈ ÝafterÈ ÝhereÈ Ý7.Ž‘kÆÜ\n"Ž‘~ÔS·‘ÇÏ ushŽ‘€«;Ž¡‘ÂifŽ‘´ú«(Ïp0‘‰ffŽ‘®xŽ‘¶·‘ÇÏq0‘‰ffŽ‘®xŽ‘…Ý«)‘±=·‘ÿý«They›UUha•¸ãv“e˜the˜same˜v‘ÿqÇalue˜for˜±x«.‘o·±=Ž¡‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ErrorÈ ÝafterÈ ÝhereÈ Ý8.Ž‘kÆÜ\n"Ž‘~ÔS·‘ÇÏ ushŽ‘€«;Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"TracesÈ ÝonÈ Ýx-yÈ ÝplaneŽ‘kÆÜÈ ÝareÈ Ýcoincident.\n"Ž’ÒÔ#·‘ÇÏ ushŽ‘€«;Ž¡‘Ïx‘‰ffŽ‘®iŽ‘-±«=‘ÇÏp0‘‰ffŽ‘®xŽ‘¶«;ަ‘ÂrealŽ‘4³1Ïy‘‰ffŽ–®int‘‰ffŽ“p‘‰ffŽ“zŽ‘^S «=‘ÇÝINVALID_REALŽ‘BM\«;Ž¡‘ÂrealŽ‘4³1Ïy‘‰ffŽ–®int‘‰ffŽ“q‘‰ffŽ“zŽ‘]Ð4«=‘ÇÝINVALID_REALŽ‘BM\«;ަ‘ÂifŽ‘)´û«(Ïslop‘ÿ}'e‘‰ffŽ–®p‘‰ffŽ“z‘‰ffŽ“yŽ‘29q·6«=‘ÇÝINVALID_REALŽ‘BM\«)‘Ïy‘‰ffŽ–®int‘‰ffŽ“p‘‰ffŽ“zŽ‘.ŸÜ«=‘ÇÏp0‘‰ffŽ‘®yŽ‘'E·‘8àÏslop‘ÿ}'e‘‰ffŽ–®p‘‰ffŽ“z‘‰ffŽ“yŽ‘3ä·‘8àÏp0‘‰ffŽ‘®zŽ‘ô«;Ž¡‘ÂifŽ‘)´û«(Ïslop‘ÿ}'e‘‰ffŽ–®q‘‰ffŽ“z‘‰ffŽ“yŽ‘1¶˜·6«=‘ÇÝINVALID_REALŽ‘BM\«)‘Ïy‘‰ffŽ–®int‘‰ffŽ“q‘‰ffŽ“zŽ‘.«=‘ÇÏq0‘‰ffŽ‘®yŽ‘¤l·‘8àÏslop‘ÿ}'e‘‰ffŽ–®q‘‰ffŽ“z‘‰ffŽ“yŽ‘3a@·‘8àÏq0‘‰ffŽ‘®zŽ‘q?«;Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ErrorÈ ÝafterÈ ÝhereÈ Ý9.Ž‘kÆÜ\n"Ž‘~ÔS·‘ÇÏ ushŽ‘€«;Ž¡‘ÂifŽ‘)´û«(Ïslop‘ÿ}'e‘‰ffŽ–®p‘‰ffŽ“z‘‰ffŽ“yŽ‘29q·‘ÇÝINVALID_REALŽ‘D†<·^‘8àÏslop‘ÿ}'e‘‰ffŽ–®q‘‰ffŽ“z‘‰ffŽ“yŽ‘3ïx·‘ÇÝINVALID_REALŽ‘BM\«)‘·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"BothÈ ÝtracesÈ ÝonÈ Ýz-yÈ Ž‘kÆÜÝplaneÈ ÝareÈ Ývertical\nŽ’ÔÆ "Ž’ÝT·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ErrorÈ ÝafterÈ ÝhereÈ Ý10Ž‘kÆÜ.\n"Ž’„P·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂifŽ‘3´ü«(Ïp0‘‰ffŽ‘®zŽ‘‚P·‘ÇÏq0‘‰ffŽ‘®zŽ‘ÿw«)‘Ïc‘ÿ}'errŽ‘|¾·‘ÇÝ"LinesÈ ÝareÈ ÝcoincidenŽ‘kÆÜt.\n"Ž’†5«;Ž¡‘(ÂelseŽ‘?ØãÏc‘ÿ}'errŽ‘UU¡·‘ÇÝ"LinesÈ ÝdoÈ ÝnotÈ ÝintersŽ‘kÆÜect.\n"Ž’‘ /«;Ž¡‘(Ïc‘ÿ}'errŽ‘=|·‘ÇÝ"ReturningÈ ÝINVALID_BŽ‘kÆÜOOL_POINT.\n\n"Ž’½Ô/·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾ÝINVALID_BOOL_POINTŽ’ªìð«;Ž¡‘·gŽ¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(Ïslop‘ÿ}'e‘‰ffŽ–®p‘‰ffŽ“z‘‰ffŽ“yŽ‘29q·‘ÇÝINVALID_REALŽ‘BM\«)‘·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"TheÈ Ýp-traceÈ ÝisÈ ÝvertŽ‘kÆÜical\n"Ž’“ÔG·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ErrorÈ ÝafterÈ ÝhereÈ Ý11Ž‘kÆÜ.\n"Ž’„P·‘ÇÏ ushŽ‘€«;Ž¡‘(Ïz‘‰ffŽ‘®iŽ‘7$³«=‘ÇÏp0‘‰ffŽ‘®zŽ‘‚P«;Ž¡‘(Ïy‘‰ffŽ‘®iŽ‘7èö«=‘ÇÏz‘‰ffŽ‘®iŽ‘]·‘8àÏslop‘ÿ}'e‘‰ffŽ–®q‘‰ffŽ“z‘‰ffŽ“yŽ‘3a@«+‘8àÏy‘‰ffŽ–®int‘‰ffŽ“q‘‰ffŽ“zŽ‘(ŽË«;Ž¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"x_iÈ Ý==È Ý"Ž‘5T}·‘ÇÏx‘‰ffŽ‘®iŽ‘x”·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"y_iÈ Ý==È Ý"Ž‘5T}·‘ÇÏy‘‰ffŽ‘®iŽ‘° ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"z_iÈ Ý==È Ý"Ž‘5T}·‘ÇÏz‘‰ffŽ‘®iŽ‘ëÇ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"slope_q_z_yÈ Ý==È Ý"Ž‘_Te·‘ÇÏslop‘ÿ}'e‘‰ffŽ–®q‘‰ffŽ“z‘‰ffŽ“yŽ‘4}°·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"y_int_q_zÈ Ý==È Ý"Ž‘TÔk·‘ÇÏy‘‰ffŽ–®int‘‰ffŽ“q‘‰ffŽ“zŽ‘+ä·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘(·gŽ¡‘gŽ¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(Ïslop‘ÿ}'e‘‰ffŽ–®q‘‰ffŽ“z‘‰ffŽ“yŽ‘1¶˜·‘ÇÝINVALID_REALŽ‘BM\«)‘·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"TheÈ Ýq-traceÈ ÝisÈ ÝvertŽ‘kÆÜical\n"Ž’“ÔG·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ErrorÈ ÝafterÈ ÝhereÈ Ý12Ž‘kÆÜ.\n"Ž’„P·‘ÇÏ ushŽ‘€«;Ž¡‘(Ïz‘‰ffŽ‘®iŽ‘7$³«=‘ÇÏq0‘‰ffŽ‘®zŽ‘ÿw«;Ž¡‘(Ïy‘‰ffŽ‘®iŽ‘7èö«=‘ÇÏz‘‰ffŽ‘®iŽ‘]·‘8àÏslop‘ÿ}'e‘‰ffŽ–®p‘‰ffŽ“z‘‰ffŽ“yŽ‘3ä«+‘8àÏy‘‰ffŽ–®int‘‰ffŽ“p‘‰ffŽ“zŽ‘)¤«;Ž¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"x_iÈ Ý==È Ý"Ž‘5T}·‘ÇÏx‘‰ffŽ‘®iŽ‘x”·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"y_iÈ Ý==È Ý"Ž‘5T}·‘ÇÏy‘‰ffŽ‘®iŽ‘° -·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;ŽŽŽŒ‹‘• Šn ý‘ì·x«536›­3DLDFPR•ÃŽG’S†TRA“CE‘ÕXVERSION˜«145Ž €n ý•@P‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"z_iÈ Ý==È Ý"Ž‘5T}·‘ÇÏz‘‰ffŽ‘®iŽ‘ëÇ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;ޤ ‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"slope_p_z_yÈ Ý==È Ý"Ž‘_Te·‘ÇÏslop‘ÿ}'e‘‰ffŽ–®p‘‰ffŽ“z‘‰ffŽ“yŽ‘5‰·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"y_int_p_zÈ Ý==È Ý"Ž‘TÔk·‘ÇÏy‘‰ffŽ–®int‘‰ffŽ“p‘‰ffŽ“zŽ‘,fô·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘(·gŽ¡‘gŽ¡‘ÂelseŽ‘5Øâ·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"NeitherÈ ÝtraceÈ ÝisÈ ÝveŽ‘kÆÜrtical\n"Ž’žTA·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ErrorÈ ÝafterÈ ÝhereÈ Ý13Ž‘kÆÜ.\n"Ž’„P·‘ÇÏ ushŽ‘€«;Ž¡‘(Ïz‘‰ffŽ‘®iŽ‘7$³«=‘Ç(Ïy‘‰ffŽ–®int‘‰ffŽ“q‘‰ffŽ“zŽ‘(ŽË·‘8àÏy‘‰ffŽ–®int‘‰ffŽ“p‘‰ffŽ“zŽ‘)¤«)±=«(Ïslop‘ÿ}'e‘‰ffŽ–®p‘‰ffŽ“z‘‰ffŽ“yŽ‘1«9·‘8àÏslop‘ÿ}'e‘‰ffŽ–®q‘‰ffŽ“z‘‰ffŽ“yŽ‘1(`«);Ž¡‘(Ïy‘‰ffŽ‘®iŽ‘7èö«=‘ÇÏslop‘ÿ}'e‘‰ffŽ–®p‘‰ffŽ“z‘‰ffŽ“yŽ‘4rQ·‘8àÏz‘‰ffŽ‘®iŽ‘ÏW«+‘8àÏy‘‰ffŽ–®int‘‰ffŽ“p‘‰ffŽ“zŽ‘)¤«;Ž¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"x_iÈ Ý==È Ý"Ž‘5T}·‘ÇÏx‘‰ffŽ‘®iŽ‘x”·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"y_iÈ Ý==È Ý"Ž‘5T}·‘ÇÏy‘‰ffŽ‘®iŽ‘° +·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;ŽŽŽŒ‹’ Šn ý‘ì«146›­TRA•ÃŽCE‘ÕXVERSION’S†3DLDFPR“G˜·x«536Ž €n ý•@P‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"z_iÈ Ý==È Ý"Ž‘5T}·‘ÇÏz‘‰ffŽ‘®iŽ‘ëÇ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;ޤ ‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"slope_p_z_yÈ Ý==È Ý"Ž‘_Te·‘ÇÏslop‘ÿ}'e‘‰ffŽ–®p‘‰ffŽ“z‘‰ffŽ“yŽ‘5‰·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"y_int_p_zÈ Ý==È Ý"Ž‘TÔk·‘ÇÏy‘‰ffŽ–®int‘‰ffŽ“p‘‰ffŽ“zŽ‘,fô·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘(·gŽ¡‘gŽ¡‘ÂelseŽ‘5Øâ·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"NeitherÈ ÝtraceÈ ÝisÈ ÝveŽ‘kÆÜrtical\n"Ž’žTA·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ErrorÈ ÝafterÈ ÝhereÈ Ý13Ž‘kÆÜ.\n"Ž’„P·‘ÇÏ ushŽ‘€«;Ž¡‘(Ïz‘‰ffŽ‘®iŽ‘7$³«=‘Ç(Ïy‘‰ffŽ–®int‘‰ffŽ“q‘‰ffŽ“zŽ‘(ŽË·‘8àÏy‘‰ffŽ–®int‘‰ffŽ“p‘‰ffŽ“zŽ‘)¤«)±=«(Ïslop‘ÿ}'e‘‰ffŽ–®p‘‰ffŽ“z‘‰ffŽ“yŽ‘1«9·‘8àÏslop‘ÿ}'e‘‰ffŽ–®q‘‰ffŽ“z‘‰ffŽ“yŽ‘1(`«);Ž¡‘(Ïy‘‰ffŽ‘®iŽ‘7èö«=‘ÇÏslop‘ÿ}'e‘‰ffŽ–®p‘‰ffŽ“z‘‰ffŽ“yŽ‘4rQ·‘8àÏz‘‰ffŽ‘®iŽ‘ÏW«+‘8àÏy‘‰ffŽ–®int‘‰ffŽ“p‘‰ffŽ“zŽ‘)¤«;Ž¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"x_iÈ Ý==È Ý"Ž‘5T}·‘ÇÏx‘‰ffŽ‘®iŽ‘x”·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"y_iÈ Ý==È Ý"Ž‘5T}·‘ÇÏy‘‰ffŽ‘®iŽ‘° ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"z_iÈ Ý==È Ý"Ž‘5T}·‘ÇÏz‘‰ffŽ‘®iŽ‘ëÇ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"slope_p_z_yÈ Ý==È Ý"Ž‘_Te·‘ÇÏslop‘ÿ}'e‘‰ffŽ–®p‘‰ffŽ“z‘‰ffŽ“yŽ‘5‰·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"y_int_p_zÈ Ý==È Ý"Ž‘TÔk·‘ÇÏy‘‰ffŽ–®int‘‰ffŽ“p‘‰ffŽ“zŽ‘,fô·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"slope_q_z_yÈ Ý==È Ý"Ž‘_Te·‘ÇÏslop‘ÿ}'e‘‰ffŽ–®q‘‰ffŽ“z‘‰ffŽ“yŽ‘4}°·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"y_int_q_zÈ Ý==È Ý"Ž‘TÔk·‘ÇÏy‘‰ffŽ–®int‘‰ffŽ“q‘‰ffŽ“zŽ‘+ä·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘(·gŽ¡‘gŽ¡‘gŽ¡‘ÂelseŽ‘:Øâ±=·‘ÿý«They–UUdon't“ha•¸ãv“e–UUthe“same“v‘ÿqÇalue“for“±x«.‘o·±=Ž¡‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ErrorÈ ÝafterÈ ÝhereÈ Ý14Ž‘kÆÜ.\n"Ž’„P·‘ÇÏ ushŽ‘€«;Ž¡‘Ïc‘ÿ}'errŽ‘3|Á·‘ÇÝ"LinesÈ ÝdoÈ ÝnotÈ ÝintersŽ‘kÆÜect:\n"Ž’‘ /«;Ž¡‘Ïc‘ÿ}'errŽ‘3þ ·‘HcÝ"("Ž‘×%·‘HcÏp0‘‰ffŽ‘®xŽ›Òd·‘HcÝ",È Ý"Ž–"·‘HcÏp0‘‰ffŽ‘®yŽ‘¸·‘HcÝ",È Ý"Ž“·‘HcÏp0‘‰ffŽ‘®zŽ‘Kþ·‘HcÝ")È Ý--È Ý("Ž‘1·‘HcÏp1‘‰ffŽ‘®xŽ˜·‘HcÝ",È Ý"Ž“·‘HcÏp1‘‰ffŽ‘®yŽ‘¸·Ž¡‘2Ý",È Ý"Ž‘JØ ·‘Q¨Ïp1‘‰ffŽ‘®zŽ‘^ˆ·‘Q¨Ý")\n("Ž‘&©¦·‘Q¨Ïq0‘‰ffŽ‘®xŽ›b·‘Q¨Ý",È Ý"Ž–)¬·‘Q¨Ïq0‘‰ffŽ‘®yŽ‘GÄ·‘Q¨Ý",È Ý"Ž“·‘Q¨Ïq0‘‰ffŽ‘®zŽ‘Û¯·‘Q¨Ý")È Ý--È Ý("Ž‘1) ·‘Q¨Ïq1‘‰ffŽ‘®xŽ˜·Ž¡‘2Ý",È Ý"Ž‘JMy·‘ÇÏq1‘‰ffŽ‘®yŽ‘2¤·‘ÇÝ",È Ý"Ž‘Œ·‘ÇÏq1‘‰ffŽ‘®zŽ‘Æ·‘ÇÝ")\nReturningÈ ÝINVALIŽ‘kÆÜD_BOOL_POINT.\n"Ž’Ã,·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_BOOL_POINTŽ’ ìï«;Ž¡‘·gŽ¡‘ gŽ¡‘ ÂelseŽ‘ .5ifŽ‘+ã-«(Ïy‘‰ffŽ–®int‘‰ffŽ“pŽ‘!Aö·‘ÇÝINVALID_REALŽ‘BM\«)‘±=·‘q±~Ž‘ÿýpŸÿ´xyŽŽŽ‘´½«is–UUparallel“to“the“y-axis.‘o·±=Ž¡‘ @@ -2012,7 +2043,7 @@ ·gŽ¡‘ ÂelseŽ‘ .5ifŽ‘+ã-«(Ïy‘‰ffŽ–®int‘‰ffŽ“qŽ‘!·‘ÇÝINVALID_REALŽ‘BM\«)‘±=·‘ùƱ~Ž‘ÿýqŸÿ´xyŽŽŽ‘#Ž«is–UUparallel“to“the“y-axis.‘o·±=Ž¡‘ ·fŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ErrorÈ ÝafterÈ ÝhereÈ Ý16Ž‘kÆÜ.\n"Ž’„P·‘ÇÏ ushŽ‘€«;Ž¡‘Ïx‘‰ffŽ‘®iŽ‘#±~«=‘ÇÏq0‘‰ffŽ‘®xŽ‘…Ý«;Ž¡‘Ïy‘‰ffŽ‘®iŽ‘#èô«=‘ÇÏslop‘ÿ}'e‘‰ffŽ–®p‘‰ffŽ“x‘‰ffŽ“yŽ‘4ÿ·‘8àÏx‘‰ffŽ‘®iŽ‘\$«+‘8àÏy‘‰ffŽ–®int‘‰ffŽ“pŽ‘ ³¾«;Ž¡‘ -·gŽŽŽŒ‹’Ì Šn ý‘ì«146›­TRA•ÃŽCE‘ÕXVERSION’S†3DLDFPR“G˜·x«537Ž €n ý•@PÂ537.‘ ü«[¬LDF‘T2002.11.12.«]Ž‘ZBÇ!!‘Z¢BUG:–æOccurred“when“I‘Ôtried“to“ nd“an“inš¸ãtersection“of“t˜w˜o“lines“in“the“x-z“plane.ޤ This–¶ñcošGde“shouldn't“b˜e“reacš¸ãhed.‘<ûRotating“the“ob‘Ž8jects“90Ÿü^ÿºŽ‘OÕ«around“the“x-axis,‘Öžputting“them“in˜to“the“x-y“plane,Ž¡ xed–UUthe“problem.‘qÇOb¸ãviously›ÿ*ª,“the“case“that“the“ob‘Ž8jects“are“in“the“x-z“plane“already“isn't“handled“propGerly˜.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·Ž¡‘ +·gŽŽŽŒ‹“> Šn ý‘ì·x«537›­3DLDFPR•ÃŽG’S†TRA“CE‘ÕXVERSION˜«147Ž €n ý•@PÂ537.‘ ü«[¬LDF‘T2002.11.12.«]Ž‘ZBÇ!!‘Z¢BUG:–æOccurred“when“I‘Ôtried“to“ nd“an“inš¸ãtersection“of“t˜w˜o“lines“in“the“x-z“plane.ޤ This–¶ñcošGde“shouldn't“b˜e“reacš¸ãhed.‘<ûRotating“the“ob‘Ž8jects“90Ÿü^ÿºŽ‘OÕ«around“the“x-axis,‘Öžputting“them“in˜to“the“x-y“plane,Ž¡ xed–UUthe“problem.‘qÇOb¸ãviously›ÿ*ª,“the“case“that“the“ob‘Ž8jects“are“in“the“x-z“plane“already“isn't“handled“propGerly˜.Ž©·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·Ž¡‘ ÂelseŽ‘0Øá±=·‘ÿý«Neither‘÷±~Ž‘UUqŸÿ´xyŽŽŽ–xæ«nor‘O±~Ž‘UUqŸÿ´xyŽŽŽ“«is–UUparallel“to“the“y-axis.‘o·±=Ž¡‘ ·fŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘±=·‘ÿý«[¬LDF‘T2002.11.12.«]Ž‘T7Start–UUw¸ãorking“on“ nding“bug“here.‘o·±=Ž¡‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"ErrorÈ ÝafterÈ ÝhereÈ Ý17Ž‘kÆÜ.\n"Ž’„P·‘ÇÏ ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"slope_p_x_yÈ Ý==È Ý"Ž‘_Te·‘ÇÏslop‘ÿ}'e‘‰ffŽ–®p‘‰ffŽ“x‘‰ffŽ“yŽ‘5V·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"slope_q_x_yÈ Ý==È Ý"Ž‘_Te·‘ÇÏslop‘ÿ}'e‘‰ffŽ–®q‘‰ffŽ“x‘‰ffŽ“yŽ‘5 }·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(Ïslop‘ÿ}'e‘‰ffŽ–®p‘‰ffŽ“x‘‰ffŽ“yŽ‘2Æ>·6«=‘ÇÏslop‘ÿ}'e‘‰ffŽ–®q‘‰ffŽ“x‘‰ffŽ“yŽ‘2Ce«)‘·fŽ¡‘Ïx‘‰ffŽ‘®iŽ‘-±«=‘Ç(Ïy‘‰ffŽ–®int‘‰ffŽ“qŽ‘ qÊ·‘8àÏy‘‰ffŽ–®int‘‰ffŽ“pŽ‘ ³¾«)±=«(Ïslop‘ÿ}'e‘‰ffŽ–®p‘‰ffŽ“x‘‰ffŽ“yŽ‘28·‘8àÏslop‘ÿ}'e‘‰ffŽ–®q‘‰ffŽ“x‘‰ffŽ“yŽ‘1µ-«);Ž¡‘Ïy‘‰ffŽ‘®iŽ‘-èõ«=‘ÇÏslop‘ÿ}'e‘‰ffŽ–®p‘‰ffŽ“x‘‰ffŽ“yŽ‘4ÿ·‘8àÏx‘‰ffŽ‘®iŽ‘\$«+‘8àÏy‘‰ffŽ–®int‘‰ffŽ“pŽ‘ ³¾«;Ž¡‘·gŽ¡‘ @@ -2028,10 +2059,10 @@ ·fŽ¡‘Ïz‘‰ffŽ–®int‘‰ffŽ“qŽ‘4;Á«=‘ÇÏq0‘‰ffŽ‘®zŽ‘8W·–8à«(Ïslop‘ÿ}'e‘‰ffŽ–®q‘‰ffŽ“x‘‰ffŽ“zŽ‘1I·“Ïq0‘‰ffŽ‘®xŽ‘÷¥«);Ž¡‘ ·gŽ¡‘ ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"z_int_pÈ Ý==È Ý"Ž‘JTq·‘ÇÏz‘‰ffŽ–®int‘‰ffŽ“pŽ‘#DË·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"z_int_qÈ Ý==È Ý"Ž‘JTq·‘ÇÏz‘‰ffŽ–®int‘‰ffŽ“qŽ‘#×·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ -·gŽŸÂ539.‘ ü«[¬LDF‘T2003.06.24.«]Ž‘Z‹”Ïx‘‰ffŽ‘®iŽ‘jΫ«will–X³bGe“equal“to“ÝINVALID_REALŽ‘BÞ÷«,‘Y‹if“the“traces“of“the“lines“on“the“x-y“plane“w¸ãereŽ¡colinear.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.06.24.«]Ž‘Y;Added–UUthis“conditional.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·Ž¡‘ +·gŽŸÂ539.‘ ü«[¬LDF‘T2003.06.24.«]Ž‘Z‹”Ïx‘‰ffŽ‘®iŽ‘jΫ«will–X³bGe“equal“to“ÝINVALID_REALŽ‘BÞ÷«,‘Y‹if“the“traces“of“the“lines“on“the“x-y“plane“w¸ãereŽ¡colinear.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.06.24.«]Ž‘Y;Added–UUthis“conditional.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·Ž¡‘ ÂifŽ‘´ù«(Ïx‘‰ffŽ‘®iŽ‘±|·‘ÇÝINVALID_REALŽ–D†<·^›8à:«(Ïz‘‰ffŽ–®int‘‰ffŽ“pŽ‘ }³·‘ÇÝINVALID_REALŽ“·_˜Ïz‘‰ffŽ–®int‘‰ffŽ“qŽ‘"tŸ·‘ÇÝINVALID_REALŽ‘BM\«))‘·fŽ¡‘Ïx‘‰ffŽ‘®iŽ‘#±~«=‘Ç(Ïz‘‰ffŽ–®int‘‰ffŽ“qŽ‘­‡·‘8àÏz‘‰ffŽ–®int‘‰ffŽ“pŽ‘ï{«)±=«(Ïslop‘ÿ}'e‘‰ffŽ–®p‘‰ffŽ“x‘‰ffŽ“zŽ‘1Ëñ·‘8àÏslop‘ÿ}'e‘‰ffŽ–®q‘‰ffŽ“x‘‰ffŽ“zŽ‘1I«);Ž¡‘Ïy‘‰ffŽ‘®iŽ‘#èô«=‘ÇÏp0‘‰ffŽ‘®yŽ‘îe«;Ž¡‘ -·gŽŽŽŒ‹“+† Šn ý‘ì·x«540›­3DLDFPR•ÃŽG’S†TRA“CE‘ÕXVERSION˜«147Ž €n ý•@PÂ540.‘ ü«In–Ì“the“folloš¸ãwing“case,‘þÖ±~Ž‘êbpŸÿ´xzŽŽŽ‘ãj«and‘Æ\±~Ž“qŸÿ´xzŽŽŽ‘4l«are“bGoth“parallel“to“the“z-axis.‘×€They“ha˜v˜e“the“same“v‘ÿqÇalue“for“±x«.ޤ W‘ÿ*ªe'vš¸ãe–UUset“Ïx‘‰ffŽ‘®iŽ‘•«abGo˜v˜e,“so“there's“no“need“to“do“so“here“again.ŽŸ·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·Ž¡‘ +·gŽŽŽŒ‹”+ø Šn ý‘ì«148›­TRA•ÃŽCE‘ÕXVERSION’S†3DLDFPR“G˜·x«540Ž €n ý•@PÂ540.‘ ü«In–Ì“the“folloš¸ãwing“case,‘þÖ±~Ž‘êbpŸÿ´xzŽŽŽ‘ãj«and‘Æ\±~Ž“qŸÿ´xzŽŽŽ‘4l«are“bGoth“parallel“to“the“z-axis.‘×€They“ha˜v˜e“the“same“v‘ÿqÇalue“for“±x«.ޤ W‘ÿ*ªe'vš¸ãe–UUset“Ïx‘‰ffŽ‘®iŽ‘•«abGo˜v˜e,“so“there's“no“need“to“do“so“here“again.ŽŸ·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·Ž¡‘ ÂifŽ‘´ù«(Ïz‘‰ffŽ–®int‘‰ffŽ“pŽ‘ }³·‘ÇÝINVALID_REALŽ‘D†<·^‘8àÏz‘‰ffŽ–®int‘‰ffŽ“qŽ‘"tŸ·‘ÇÝINVALID_REALŽ‘BM\«)‘·fŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ErrorÈ ÝafterÈ ÝhereÈ Ý19Ž‘kÆÜ.\n"Ž’„P·‘ÇÏ ushŽ‘€«;Ž¡‘ÂifŽ‘´ú«(Ïp0‘‰ffŽ‘®xŽ‘¶·6«=‘ÇÏq0‘‰ffŽ‘®xŽ‘…Ý«)‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ErrorÈ ÝafterÈ ÝhereÈ Ý20Ž‘kÆÜ.\n"Ž’„P·‘ÇÏ ushŽ‘€«;Ž¡‘Ïc‘ÿ}'errŽ‘4ûõ·‘FLÝ"LinesÈ ÝdoÈ ÝnotÈ ÝintersŽ‘mFect:\n"Ž’–Ò¯·‘FLÝ"("Ž‘Ò÷·‘FLÏp0‘‰ffŽ‘®xŽ‘Î6·‘FLÝ",È Ý"Ž–ô·‘FLÏp0‘‰ffŽ‘®zŽ‘Gз‘FLÝ",È Ý"Ž“·Ž¡‘2Ïp0‘‰ffŽ‘®zŽ‘I¿Ü·‘ŸÝ")È Ý--È Ý("Ž‘2Ž·‘ŸÏp1‘‰ffŽ‘®xŽ‘JÜ·‘ŸÝ",È Ý"Ž–š·‘ŸÏp1‘‰ffŽ‘®zŽ›Äv·‘ŸÝ",È Ý"Ž“·‘ŸÏp1‘‰ffŽ‘®zŽ˜·‘ŸÝ")\n("Ž‘(”·‘ŸÏq0‘‰ffŽ‘®xŽ‘È·Ž¡‘2Ý",È Ý"Ž‘KÊ ·‘C¿Ïq0‘‰ffŽ‘®zŽ–¿Ý·‘C¿Ý",È Ý"Ž› Ú·‘C¿Ïq0‘‰ffŽ‘®zŽ“·‘C¿Ý")È Ý--È Ý("Ž‘3 η‘C¿Ïq1‘‰ffŽ‘®xŽ‘FC·‘C¿Ý",È Ý"Ž˜·‘C¿Ïq1‘‰ffŽ‘®zŽ“·‘C¿Ïq1‘‰ffŽ‘®zŽ“·Ž¡‘2Ý")\nReturningÈ ÝINVALIŽ’šÿÉD_BOOL_POINT.\n"Ž’òM·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_BOOL_POINTŽ’ ìï«;Ž¡‘·gŽ¡‘ gŽ¡‘ ÂelseŽ‘ .5ifŽ‘+ã-«(Ïz‘‰ffŽ–®int‘‰ffŽ“pŽ‘ }³·‘ÇÝINVALID_REALŽ‘BM\«)‘·fŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ErrorÈ ÝafterÈ ÝhereÈ Ý21Ž‘kÆÜ.\n"Ž’„P·‘ÇÏ ushŽ‘€«;Ž¡‘Ïz‘‰ffŽ‘®iŽ‘#$±«=‘ÇÏp0‘‰ffŽ‘®zŽ‘‚P«;Ž¡‘ @@ -2040,7 +2071,7 @@ ·gŽ¡‘ ÂelseŽ‘!Øà·fŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ErrorÈ ÝafterÈ ÝhereÈ Ý23Ž‘kÆÜ.\n"Ž’„P·‘ÇÏ ushŽ‘€«;Ž¡‘Ïz‘‰ffŽ‘®iŽ‘#$±«=‘ÇÏslop‘ÿ}'e‘‰ffŽ–®p‘‰ffŽ“x‘‰ffŽ“zŽ‘4“ ·‘8àÏx‘‰ffŽ‘®iŽ‘\$«+‘8àÏz‘‰ffŽ–®int‘‰ffŽ“pŽ‘ï{«;Ž¡‘ ·gŽ¡‘ -gŽŽŽŒ‹”?B Šn ý‘ì«148›­TRA•ÃŽCE‘ÕXVERSION’S†3DLDFPR“G˜·x«541Ž €n ý•@PÂ541.‘ ü«[¬LDF‘T2002.10.27.«]Ž‘ZÅuIf‘’”Ïx‘‰ffŽ‘®iŽ‘|ø«,‘¡äÏy‘‰ffŽ‘®iŽ‘þ«,›¡äand‘’”Ïz‘‰ffŽ‘®iŽ‘‚¿«are–’”all“v‘ÿqÇalid,˜set“ÏbpŽ‘m ±:ÏptŽ‘ w1«using“those“v‘ÿqÇalues.‘)…Otherwise,˜set“it“toޤ ÝINVALID_POINTŽ‘DÆA«.‘mJIf–Gßthis“ÂP•®9oin“tŽ‘"*«is“on“bGoth“of“the“line“segmen¸ãtsŸü±È“·ŽŽ‘èÆ‘þãŽŽŽ‘gþ!ŽŽŸN8“±pŸÿ®0Ž‘|s±pŸÿ®1ŽŽŽŽŽ‘˜¤«andŸü±È“·ŽŽ‘W—‘þãŽŽŽ‘ÖÏ!ŽŽŸN8“±qŸÿ®0Ž‘|s±qŸÿ®1ŽŽŽŽŽ‘.g«,›Jset“ÏbpŽ‘"X±:bŽ‘’‰«to“ÏtrueŽ‘ w«,˜otherwise“setŽ¡it–UUto“ÏfalseŽ‘™«.ŽŸ·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·Ž¡‘ +gŽŽŽŒ‹•?‰ Šn ý‘ì·x«541›­3DLDFPR•ÃŽG’S†TRA“CE‘ÕXVERSION˜«149Ž €n ý•@PÂ541.‘ ü«[¬LDF‘T2002.10.27.«]Ž‘ZÅuIf‘’”Ïx‘‰ffŽ‘®iŽ‘|ø«,‘¡äÏy‘‰ffŽ‘®iŽ‘þ«,›¡äand‘’”Ïz‘‰ffŽ‘®iŽ‘‚¿«are–’”all“v‘ÿqÇalid,˜set“ÏbpŽ‘m ±:ÏptŽ‘ w1«using“those“v‘ÿqÇalues.‘)…Otherwise,˜set“it“toޤ ÝINVALID_POINTŽ‘DÆA«.‘mJIf–Gßthis“ÂP•®9oin“tŽ‘"*«is“on“bGoth“of“the“line“segmen¸ãtsŸü±È“·ŽŽ‘èÆ‘þãŽŽŽ‘gþ!ŽŽŸN8“±pŸÿ®0Ž‘|s±pŸÿ®1ŽŽŽŽŽ‘˜¤«andŸü±È“·ŽŽ‘W—‘þãŽŽŽ‘ÖÏ!ŽŽŸN8“±qŸÿ®0Ž‘|s±qŸÿ®1ŽŽŽŽŽ‘.g«,›Jset“ÏbpŽ‘"X±:bŽ‘’‰«to“ÏtrueŽ‘ w«,˜otherwise“setŽ¡it–UUto“ÏfalseŽ‘™«.ŽŸ·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·Ž¡‘ ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"ErrorÈ ÝafterÈ ÝhereÈ Ý24Ž‘kÆÜ.\n"Ž’„P·‘ÇÏ ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"x_iÈ Ý==È Ý"Ž‘5T}·‘ÇÏx‘‰ffŽ‘®iŽ‘x”·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"y_iÈ Ý==È Ý"Ž‘5T}·‘ÇÏy‘‰ffŽ‘®iŽ‘° ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"z_iÈ Ý==È 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leŽ¡for‘UUexplanation.ަ·h–ª¨«De ne‘UUÂPictureŽ‘,F·«functions‘@­219“·i‘Ç«+·Ž¡‘ ÂPictureŽ‘0œ«::‘ÂPictureŽ‘&œ«(ÂconstŽ‘*¢PictureŽ‘G«&Ž‘Nã"±pŽ‘Së"«)Ž¡‘ -:‘qÇÏdo‘‰ffŽ‘®lab‘ÿ}'elsŽ‘*­ª«(Ïtrueޑƫ)‘UU·fŽŽŽŒ‹•J3 Šn ý‘ì·x«544›­3DLDFPR•ÃŽG’‡ZCOPY‘ÕXCONSTR“UCTOR˜«149Ž €n ý•@P‘·Ž‘ÏthisŽ‘,²Ñ«=‘DZpŽ‘Ï«;ޤ ‘ -·gŽ©Â545.– üCom®9bining‘ÕTPictures.“«[¬LDF‘T2002.04.17.«]Ž‘Zˆ6Added–UUthis“function.ŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +:‘qÇÏdo‘‰ffŽ‘®lab‘ÿ}'elsŽ‘*­ª«(Ïtrueޑƫ)‘UU·fŽŽŽŒ‹–Jz Šn ý‘ì«150›­COPY‘ÕXCONSTR•ÃŽUCTOR’‡Z3DLDFPR“G˜·x«544Ž €n ý•@P‘·Ž‘ÏthisŽ‘,²Ñ«=‘DZpŽ‘Ï«;ޤ ‘ +·gŽ©Â545.– üCom®9bining‘ÕTPictures.“«[¬LDF‘T2002.04.17.«]Ž‘Zˆ6Added–UUthis“function.ŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.10.29.«]Ž‘Y;Made‘UU±pŽ‘ ²ªÂconstŽ‘)ÝL«and–UU xed“bugs“that“cš¸ãhanged“±pŽ‘ ²ª«(see“bGelo˜w).Ž¡‘ [¬LDF‘T2002.10.29.«]Ž‘Yi‘BUG‘¶’FIX:–¶«Noš¸ãw,‘ϱpŽ‘×:Ïtr‘ÿ}'ansformŽ‘/iì«is“applied“to“·Ž‘¶¬«(Ïshap‘ÿ}'esŽ‘:Ïb‘ÿ}'ackŽ‘üë(‘ª¨)),‘Ïpreviously“it“w˜as“appliedŽ¡to‘UU·Ž‘UVŽ‘ UWÏiterŽ‘ 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·fŽ¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂShapQÇeŽ‘"Ab·Ž‘'Aci‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZpŽ–Ï:Ïshap‘ÿ}'esŽ›:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);‘ÿýÏiterŽ‘’·6«=‘DZpŽ“:Ïshap‘ÿ}'esŽ˜±:ÏendŽ‘ಫ(‘ª¨);‘ÿýÏiterŽ‘JûŸÿ®+‘ÿ+ŽŽ‘"«)‘·fŽ¡‘Ïshap‘ÿ}'esŽ‘::Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«((·Ž‘ÏiterŽ‘Êÿ«)‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®c‘ÿ}'opyŽ‘(õ«(‘ª¨));Ž¡¡‘(±=·‘Ü<«[¬LDF‘T2002.10.29.«]Ž‘SÀµNormally‘ÿ*ª,‘8ºÏtr‘ÿ}'ansformŽ‘2«in–1”a“ÂPictureŽ‘+ÿ5«is“applied“to“its“ÂShapQÇesŽ‘)Øq«when“it's“output,Ž¡‘2ho•¸ãw“ev“er,‘›µit›¢m“ust˜bGe˜done˜no“w˜for˜the˜copies˜of˜the˜ÂShapQÇesŽ‘*«from˜ÂPictureŽ‘,·Q±pŽ‘5Ló«that˜are˜copiedŽ¡‘2onš¸ãto‘=î·Ž‘=ïÏthisŽ‘)¥«,‘BœbGecause‘=î±pŽ‘Eî:Ïtr‘ÿ}'ansformŽ‘.ñ/«is–=îonly“kno˜wn“within“±pŽ‘Eî«;‘iúthe“ÂShapQÇesŽ‘)ñ%«don't“\kno˜w"“abGout“it.‘¢·±=Ž¡‘·Ž‘#«(Ïshap‘ÿ}'esŽ‘:Ïb‘ÿ}'ackŽ‘üë(‘ª¨))‘Ç·«=ŽŽ‘UO±pŽ‘]O:Ïtr‘ÿ}'ansformŽ‘+³A«;Ž¡‘·gŽ¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂLabQÇelŽ‘–¸·Ž‘$–¹i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZpŽ–Ï:Ïlab‘ÿ}'elsŽ›Tð±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);‘ÿýÏiterŽ‘’·6«=‘DZpŽ“:Ïlab‘ÿ}'elsŽ˜±:ÏendŽ‘ಫ(‘ª¨);‘ÿýÏiterŽ‘JûŸÿ®+‘ÿ+ŽŽ‘"«)‘·fŽ¡‘Ïlab‘ÿ}'elsŽ‘6Tó±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«((·Ž‘ÏiterŽ‘Êÿ«)‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®c‘ÿ}'opyŽ‘(õ«(‘ª¨));Ž¡¡‘·Ž‘#«(Ïlab‘ÿ}'elsŽ‘Tð±:Ïb‘ÿ}'ackŽ‘üë(‘ª¨)‘þŸ±~ŽŽ‘ÏptŽ‘ 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ÿù·^‘8àÏlab‘ÿ}'elsŽ‘б:ÏsizeŽ˜«(‘ª¨)“·“«0Ž‘Ç)‘ÂreturnŽ‘%‘e«;Ž¡‘Ïtr‘ÿ}'ansformŽ‘?³C±:Ïr‘ÿ}'esetŽ‘Æ·«(‘ª¨);Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂShapQÇeŽ‘"Ab·Ž‘'Aci‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=+M«=‘ÇÏshap‘ÿ}'esŽ–µ¡±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏshap‘ÿ}'esŽ“±:ÏendŽ‘ಫ(˜);‘ÿýÏiterŽ‘JûŸÿ®+‘ÿ+ŽŽ‘"«)‘·fŽ¡‘«(·Ž‘ÏiterŽ‘Êÿ«)‘þŸ±~ŽŽ‘Ïcle‘ÿ}'arŽ‘(Ú«(‘ª¨);Ž¡‘ÂdeleteŽ‘?ƽ«(·Ž‘ÏiterŽ‘Êÿ«);Ž¡‘·gŽ¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂLabQÇelŽ‘–¸·Ž‘$–¹i‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=+M«=‘ÇÏlab‘ÿ}'elsŽ–±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏlab‘ÿ}'elsŽ“±:ÏendŽ‘ಫ(˜);‘ÿýÏiterŽ‘JûŸÿ®+‘ÿ+ŽŽ‘"«)‘·fŽ¡‘(±=·‘I«??›ɪI‘r™tried–r¡to“use“·Ž‘ 9¿ÂLabQÇelŽ‘'{"«(‘ª¨)“here,‘yôbut“it“didn't“w¸ãork.˜I‘r™got“run-time“errors“ha¸ãving“to“do“withŽ¡‘2\Unaligned–Žæaccess“pid=299273±:–ª¨:“:Ž‘ ª§«"“(didn't“understand).›yThis“w¸ãorks,‘Jthough.˜If“I‘Ž×c¸ãhange“theŽ¡‘2de nition–UUof“ÂLabQÇelŽ‘–¸«,“I'll“ha•¸ãv“e–UUto“makš¸ãe“correspGonding“c˜hanges“here.‘o·±=Ž¡‘ÂdeleteŽ‘?ƽ«(·Ž‘ÏiterŽ‘Êÿ«)‘þŸ±~ŽŽ‘ÏptŽ‘ 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ÿù·^‘8àÏlab‘ÿ}'elsŽ‘б:ÏsizeŽ˜«(‘ª¨)“·“«0Ž‘Ç)‘ÂreturnŽ‘%‘e«;Ž¡‘Ïtr‘ÿ}'ansformŽ‘?³C±:Ïr‘ÿ}'esetŽ‘Æ·«(‘ª¨);Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂShapQÇeŽ‘"Ab·Ž‘'Aci‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=+M«=‘ÇÏshap‘ÿ}'esŽ–µ¡±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏshap‘ÿ}'esŽ“±:ÏendŽ‘ಫ(˜);‘ÿýÏiterŽ‘JûŸÿ®+‘ÿ+ŽŽ‘"«)‘·fŽ¡‘«(·Ž‘ÏiterŽ‘Êÿ«)‘þŸ±~ŽŽ‘Ïcle‘ÿ}'arŽ‘(Ú«(‘ª¨);Ž¡‘ÂdeleteŽ‘?ƽ«(·Ž‘ÏiterŽ‘Êÿ«);Ž¡‘·gŽ¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂLabQÇelŽ‘–¸·Ž‘$–¹i‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=+M«=‘ÇÏlab‘ÿ}'elsŽ–±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏlab‘ÿ}'elsŽ“±:ÏendŽ‘ಫ(˜);‘ÿýÏiterŽ‘JûŸÿ®+‘ÿ+ŽŽ‘"«)‘·fŽ¡‘(±=·‘I«??›ɪI‘r™tried–r¡to“use“·Ž‘ 9¿ÂLabQÇelŽ‘'{"«(‘ª¨)“here,‘yôbut“it“didn't“w¸ãork.˜I‘r™got“run-time“errors“ha¸ãving“to“do“withŽ¡‘2\Unaligned–Žæaccess“pid=299273±:–ª¨:“:Ž‘ ª§«"“(didn't“understand).›yThis“w¸ãorks,‘Jthough.˜If“I‘Ž×c¸ãhange“theŽ¡‘2de nition–UUof“ÂLabQÇelŽ‘–¸«,“I'll“ha•¸ãv“e–UUto“makš¸ãe“correspGonding“c˜hanges“here.‘o·±=Ž¡‘ÂdeleteŽ‘?ƽ«(·Ž‘ÏiterŽ‘Êÿ«)‘þŸ±~ŽŽ‘ÏptŽ‘ 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nd“the“in¸ãtersectionŽ¡pGoinš¸ãts–u8and“divide“the“ÂShapQÇesŽ‘*_¹«in˜to“parts.‘ÑqTO‘u0DO:“Implemen˜t“a“routine“for“dividing“up“ÂShapQÇesŽ‘&ê«.‘ÑqThis“willŽ¡not–UUbšGe“done“so˜on!Ž¡‘ Ïdo‘‰ffŽ‘®warningsŽ‘@4ë:‘¬¢Sometimes–òÂwš¸ãe'll“w˜an˜t“use“the“Ïmin‘‰ffŽ–®x‘‰ffŽ“pr‘ÿ}'ojŽ‘3Ä«,‘Ïmax‘‰ffŽ–®x‘‰ffŽ“pr‘ÿ}'ojŽ‘4û«,–etc.,“argumen˜ts–òÂto“cut“o “parts“ofŽ¡the–Bÿimage,‘Fªor“wš¸ãe'll“delibGerately“place“the“ÂF‘ÿ -«oQÇcusŽ‘#{J«where“it“w˜on't“bGe“able“to“\see"“part“of“the“image.‘kªIn“theseŽ¡cases,–UUit“will“bGe“annoš¸ãying“to“see“the“w˜arnings.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +«oQÇcusŽ‘#{J«where“it“w˜on't“bGe“able“to“\see"“part“of“the“image.‘kªIn“theseŽ¡cases,–UUit“will“bGe“annoš¸ãying“to“see“the“w˜arnings.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.09.21.«]Ž‘Y;Added–UUthe“argumen¸ãts“Ïdo‘‰ffŽ‘®sortŽ‘&Äo«and“Ïdo‘‰ffŽ‘®warningsŽ‘9Š«.Ž¡‘ -[¬LDF‘T2003.05.16.«]Ž‘XCChanged‘e]Âb•QÇo“olŽ‘ËÏdo‘‰ffŽ‘®sortŽ‘=•í«to‘e]ÂconstŽ‘ unsignedŽ‘NçshortŽ‘kÁÈÏsort‘‰ffŽ‘®valueŽ’—«â«.‘!ÊAbGout–e]to“add“ÂnamespaceŽŽ¡SortingŽ‘(¿›«with–UUconstanš¸ãts“for“di eren˜t“w˜a˜ys“of“sorting,“i.e.,“\no“sort",“\nearest-last",“or“\furthest- rst".ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦548.‘ üF‘ÿ +[¬LDF‘T2003.05.16.«]Ž‘XCChanged‘e]Âb•QÇo“olŽ‘ËÏdo‘‰ffŽ‘®sortŽ‘=•í«to‘e]ÂconstŽ‘ unsignedŽ‘NçshortŽ‘kÁÈÏsort‘‰ffŽ‘®valueŽ’—«â«.‘!ÊAbGout–e]to“add“ÂnamespaceŽŽ¡SortingŽ‘(¿›«with–UUconstanš¸ãts“for“di eren˜t“w˜a˜ys“of“sorting,“i.e.,“\no“sort",“\nearest-last",“or“\furthest- rst".ޤŸüÈ„`ÕÁGŽŽ¦Â548.‘ üF‘ÿ «oQÇcus‘ÕTargumen®9t.Ž¡·h–ª¨«De ne‘UUÂPictureŽ‘,F·«functions‘@­219“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘#ð9PictureŽ‘JŒJ«::‘ÏoutputŽ‘D«(ÂconstŽ‘F‘ÿ -«oQÇcusŽ‘@Z«&Ž‘H!!±fŽ‘N;‘ª¨ÂconstŽ‘ ǪunsignedŽ‘QñshortŽ‘p®Ïpr‘ÿ}'ojŽ’ƒ¡Þ±;‘ª¨ÂrealŽ‘P6ÏfactorŽ‘4T±;‘ª¨ÂconstŽŽ¡‘2unsignedŽ‘b“ÙshortŽ’€»BÏsort‘‰ffŽ‘®valueŽ’¬¥\±;‘ª¨ÂconstŽ‘ 2b•QÇo“olŽ‘:0<Ïdo‘‰ffŽ‘®warningsŽ‘pdþ±;‘ª¨ÂconstŽ‘ 2realŽ‘7BÏmin‘‰ffŽ–®x‘‰ffŽ“pr‘ÿ}'ojŽ‘gR±;‘ª¨ÂconstŽ‘ 2realŽŽ¡‘2Ïmax‘‰ffŽ–®x‘‰ffŽ“pr‘ÿ}'ojŽ‘bàø±;‘ª¨ÂconstŽ‘×vrealŽ‘6ŒÐÏmin‘‰ffŽ–®y‘‰ffŽ“pr‘ÿ}'ojŽ‘f•”±;‘ª¨ÂconstŽ‘×vrealŽ‘6ŒÐÏmax‘‰ffŽ–®y‘‰ffŽ“pr‘ÿ}'ojŽ‘g¥9±;‘ª¨ÂconstŽ‘×vrealŽ‘6ŒÐÏmin‘‰ffŽ–®z‘‰ffŽ“pr‘ÿ}'ojŽ‘eÑQ±;‘ª¨ÂconstŽ‘×vrealŽŽ¡‘2Ïmax‘‰ffŽ–®z‘‰ffŽ“pr‘ÿ}'ojŽ‘bT+«)·f‘UUÂb•QÇo“olŽ‘ö»ÝDEBUGŽ‘:„,«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=Ž¡‘ÂusingŽ‘ S·‘ÇÝ"EnteringÈ ÝPicture::oŽ‘kÆÜutput(constÈ ÝFocus&È Ý.Ž’ÔÆ ..).\n"Ž’üÔ ·‘ÇÏ ushŽ‘€«;Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"min_x_projÈ Ý==È Ý"Ž‘Zh·‘ÇÏmin‘‰ffŽ–®x‘‰ffŽ“pr‘ÿ}'ojŽ‘5_~·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"max_x_projÈ Ý==È Ý"Ž‘Zh·‘ÇÏmax‘‰ffŽ–®x‘‰ffŽ“pr‘ÿ}'ojŽ‘6o#·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"min_y_projÈ Ý==È Ý"Ž‘Zh·‘ÇÏmin‘‰ffŽ–®y‘‰ffŽ“pr‘ÿ}'ojŽ‘5–ô·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"max_y_projÈ Ý==È Ý"Ž‘Zh·‘ÇÏmax‘‰ffŽ–®y‘‰ffŽ“pr‘ÿ}'ojŽ‘6¦™·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘·g‘±=·‘ÿý«Checš¸ãk–UUwhether“the“Âv®9ectorŽ‘&TòÏshap‘ÿ}'esŽ‘F˜Ð«has“an˜ything“in“it.‘qÇIf“it“doGesn't,“return.‘o·±=Ž¡‘ÂifŽ‘)´û«(Ïshap‘ÿ}'esŽ‘:ÏsizeŽ›\«(‘ª¨)–Ç·“«0Ž‘ ÿù·^‘8àÏlab‘ÿ}'elsŽ‘б:ÏsizeŽ˜«(‘ª¨)“·“«0Ž‘Ç)‘·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"PictureÈ ÝisÈ Ýempty.È ÝRŽ‘kÆÜeturning.\n"Ž’®8·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘H‘i«;Ž¡‘·gŽŽŽŒ‹—nÌ Šn ý‘ì·x«549›­3DLDFPR•ÃŽG’XEÂF®9OCUS‘ÕX­AR“GUMENT˜«151Ž €n ý•@PÂ549.‘ ü«[¬LDF‘T2002.09.17.«]Ž‘ZF1Some‘PÂShapQÇesŽ‘)›é«maš¸ãy–Pconsist“of“other“ÂShapQÇesŽ‘&ˆ™«,‘ „and“not“ha˜v˜e“an“ÏoutputŽ‘ "«(‘ª®)“function“ofޤ their–Mªoš¸ãwn,‘O3so“w˜e“m˜ust“extract“their“con˜ten˜ts“recursiv˜ely“un˜til“w˜e“get“to“ÂShapQÇesŽ‘*«that“ha˜v˜e“one.‘o9So“far,‘O3onlyŽ¡ÂP•®9oin“tŽ‘šH«,‘UUÂP®9athŽ‘湫,–UUand“ÂSolidŽ‘ («ha•¸ãv“e‘UUÏoutputŽ‘ d•«(‘ª®)–UUfunctions,“and“all“other“ÂShapQÇesŽ‘*ó«reduce“to“ÂP®9athsŽ‘#ÅJ«or“ÂSolidsŽ‘!\h«.Ž¡‘ +«oQÇcusŽ‘@Z«&Ž‘H!!±fŽ‘N;‘ª¨ÂconstŽ‘ ǪunsignedŽ‘QñshortŽ‘p®Ïpr‘ÿ}'ojŽ’ƒ¡Þ±;‘ª¨ÂrealŽ‘P6ÏfactorŽ‘4T±;‘ª¨ÂconstŽŽ¡‘2unsignedŽ‘b“ÙshortŽ’€»BÏsort‘‰ffŽ‘®valueŽ’¬¥\±;‘ª¨ÂconstŽ‘ 2b•QÇo“olŽ‘:0<Ïdo‘‰ffŽ‘®warningsŽ‘pdþ±;‘ª¨ÂconstŽ‘ 2realŽ‘7BÏmin‘‰ffŽ–®x‘‰ffŽ“pr‘ÿ}'ojŽ‘gR±;‘ª¨ÂconstŽ‘ 2realŽŽ¡‘2Ïmax‘‰ffŽ–®x‘‰ffŽ“pr‘ÿ}'ojŽ‘bàø±;‘ª¨ÂconstŽ‘×vrealŽ‘6ŒÐÏmin‘‰ffŽ–®y‘‰ffŽ“pr‘ÿ}'ojŽ‘f•”±;‘ª¨ÂconstŽ‘×vrealŽ‘6ŒÐÏmax‘‰ffŽ–®y‘‰ffŽ“pr‘ÿ}'ojŽ‘g¥9±;‘ª¨ÂconstŽ‘×vrealŽ‘6ŒÐÏmin‘‰ffŽ–®z‘‰ffŽ“pr‘ÿ}'ojŽ‘eÑQ±;‘ª¨ÂconstŽ‘×vrealŽŽ¡‘2Ïmax‘‰ffŽ–®z‘‰ffŽ“pr‘ÿ}'ojŽ‘bT+«)·f‘UUÂb•QÇo“olŽ‘ö»ÝDEBUGŽ‘:„,«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=Ž¡‘ÂusingŽ‘ S·‘ÇÝ"EnteringÈ ÝPicture::oŽ‘kÆÜutput(constÈ ÝFocus&È Ý.Ž’ÔÆ ..).\n"Ž’üÔ ·‘ÇÏ ushŽ‘€«;Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"min_x_projÈ Ý==È Ý"Ž‘Zh·‘ÇÏmin‘‰ffŽ–®x‘‰ffŽ“pr‘ÿ}'ojŽ‘5_~·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"max_x_projÈ Ý==È Ý"Ž‘Zh·‘ÇÏmax‘‰ffŽ–®x‘‰ffŽ“pr‘ÿ}'ojŽ‘6o#·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"min_y_projÈ Ý==È Ý"Ž‘Zh·‘ÇÏmin‘‰ffŽ–®y‘‰ffŽ“pr‘ÿ}'ojŽ‘5–ô·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"max_y_projÈ Ý==È Ý"Ž‘Zh·‘ÇÏmax‘‰ffŽ–®y‘‰ffŽ“pr‘ÿ}'ojŽ‘6¦™·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘·g‘±=·‘ÿý«Checš¸ãk–UUwhether“the“Âv®9ectorŽ‘&TòÏshap‘ÿ}'esŽ‘F˜Ð«has“an˜ything“in“it.‘qÇIf“it“doGesn't,“return.‘o·±=Ž¡‘ÂifŽ‘)´û«(Ïshap‘ÿ}'esŽ‘:ÏsizeŽ›\«(‘ª¨)–Ç·“«0Ž‘ ÿù·^‘8àÏlab‘ÿ}'elsŽ‘б:ÏsizeŽ˜«(‘ª¨)“·“«0Ž‘Ç)‘·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"PictureÈ ÝisÈ Ýempty.È ÝRŽ‘kÆÜeturning.\n"Ž’®8·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘H‘i«;Ž¡‘·gŽŽŽŒ‹˜nè Šn ý‘ì«152›ÂF®9OCUS‘ÕX­AR•ÃŽGUMENT’XE3DLDFPR“G˜·x«549Ž €n ý•@PÂ549.‘ ü«[¬LDF‘T2002.09.17.«]Ž‘ZF1Some‘PÂShapQÇesŽ‘)›é«maš¸ãy–Pconsist“of“other“ÂShapQÇesŽ‘&ˆ™«,‘ „and“not“ha˜v˜e“an“ÏoutputŽ‘ "«(‘ª®)“function“ofޤ their–Mªoš¸ãwn,‘O3so“w˜e“m˜ust“extract“their“con˜ten˜ts“recursiv˜ely“un˜til“w˜e“get“to“ÂShapQÇesŽ‘*«that“ha˜v˜e“one.‘o9So“far,‘O3onlyŽ¡ÂP•®9oin“tŽ‘šH«,‘UUÂP®9athŽ‘湫,–UUand“ÂSolidŽ‘ («ha•¸ãv“e‘UUÏoutputŽ‘ d•«(‘ª®)–UUfunctions,“and“all“other“ÂShapQÇesŽ‘*ó«reduce“to“ÂP®9athsŽ‘#ÅJ«or“ÂSolidsŽ‘!\h«.Ž¡‘ [¬LDF‘T2002.09.17.«]Ž‘Y5~Ïextr‘ÿ}'actŽ‘w÷í«(‘ª®)›‚˜c•¸ãhec“ks˜that˜all˜of˜the˜ÂP•®9oin“tsŽ‘'(´«con“tained˜in˜the˜ÂShapQÇeŽ‘%ñ=«can˜bGe˜pro‘Ž8jected˜withŽ¡the‘ÆïÂF‘ÿ -«oQÇcusŽ‘"ƒ*«that–Æïis“bšGeing“used.‘BPIf“an¸ãy“of“them“cannot“b˜e,‘ãjthen“Ïextr‘ÿ}'actŽ‘!‰^«(‘ª®)“returns“an“empt¸ãy“Âv®9ectorŽ‘%8&«of“ÂShapQÇesŽ‘&<8«.Ž¡This– )means“that“anš¸ãy“ÂShapQÇeŽ‘$þ_«m˜ust“bGe“en˜tirely“pro‘Ž8jectable;‘"partial“ÂShapQÇesŽ‘)‡›«will“not“bšGe“output.‘Xcproblem,‘eto˜o.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +«oQÇcusŽ‘"ƒ*«that–Æïis“bšGeing“used.‘BPIf“an¸ãy“of“them“cannot“b˜e,‘ãjthen“Ïextr‘ÿ}'actŽ‘!‰^«(‘ª®)“returns“an“empt¸ãy“Âv®9ectorŽ‘%8&«of“ÂShapQÇesŽ‘&<8«.Ž¡This– )means“that“anš¸ãy“ÂShapQÇeŽ‘$þ_«m˜ust“bGe“en˜tirely“pro‘Ž8jectable;‘"partial“ÂShapQÇesŽ‘)‡›«will“not“bšGe“output.‘Xcproblem,‘eto˜o.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.01.05.«]Ž‘Y;MošGdi ed–UUthe“T‘þU>ŸÓVEŽ‘ãxXŽ‘Gtext“ab˜o•¸ãv“e–UUto“accounš¸ãt“for“the“fact“that“I'v˜e“added“ÂSolidŽ‘Ó,«.Ž¡‘ [¬LDF‘T2003.01.05.«]Ž‘Z_ BUG‘¬aFIX:›¬ºMo•¸ãv“ed˜the˜co•Gde˜that˜causes˜Ïtr‘ÿ}'ansformŽ‘5 µ«to˜b“e˜applied˜to˜the˜elemen¸ãts˜ofŽ¡Ïshap‘ÿ}'esŽ‘.›œõThis–cºis“no¸ãw“done“Ïb–ÿ}'efor“e‘$«the‘cºÏextr“emesŽ‘-Ø«are–cºset.˜The“w•¸ãa“y–cºit“wš¸ãas“bGefore“didn't“w˜ork“prop•Gerly‘ÿ*ª,‘gSb“ecauseŽ¡Ïextr‘ÿ}'actŽ‘Âo«(‘ª®)–W -used“the“unš¸ãtransformed“v‘ÿqÇalues“to“decide“whether“a“ÂShapQÇeŽ‘%š!«w˜as“pro‘Ž8jectable.‘våIn“order“to“do“this,‘WwIŽ¡had–UUto“mak¸ãe“Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Iu4«(‘ª®)“a“ÂShapQÇeŽ‘%–·«function.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«De ne‘UUÂPictureŽ‘,F·«functions‘@­219“·i‘Ç«+·ޤ ‘ +used“the“unš¸ãtransformed“v‘ÿqÇalues“to“decide“whether“a“ÂShapQÇeŽ‘%š!«w˜as“pro‘Ž8jectable.‘våIn“order“to“do“this,‘WwIŽ¡had–UUto“mak¸ãe“Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Iu4«(‘ª®)“a“ÂShapQÇeŽ‘%–·«function.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«De ne‘UUÂPictureŽ‘,F·«functions‘@­219“·i‘Ç«+·ޤ ‘ Âv®9ectorŽ‘)ªI·hÂShapQÇeŽ‘"Ab·Ž‘'Aci‘UU±vޑЫ;Ž¡‘ Âv®9ectorŽ‘)ªI·hÂShapQÇeŽ‘"Ab·Ž‘'Aci‘UUÏelementsŽ‘*;P«;ޤ‘ Âv®9ectorŽ‘)ªI·hÂShapQÇeŽ‘"Ab·Ž‘'Aci‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘:d5«;Ž¡‘ @@ -2098,8 +2129,8 @@ ÂforŽ‘臫(ÏiterŽ‘’«=‘ÇÏshap‘ÿ}'esŽ–µ¡±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏshap‘ÿ}'esŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘ÂifŽ‘´ú«(Ïdo‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘9š4«)‘·fŽ¡‘«(·Ž‘Ž‘ ÏiterŽ‘Ë«)‘Ç·«=ŽŽ‘UOÏtr‘ÿ}'ansformŽ‘>«;Ž¡‘·gŽ¡‘±vŽ‘û׫=‘Ç(·Ž‘ÏiterŽ‘Êÿ«)‘þŸ±~ŽŽ‘Ïextr‘ÿ}'actŽ‘"Âp«(±fŽ‘øæ;‘ª¨Ïpr‘ÿ}'ojŽ‘žk±;‘ª¨ÏfactorŽ‘®†«);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÿ9·^‘8à±vŽ‘m:ÏsizeŽ‘\«(‘ª¨)–Ç·“«0Ž‘Ç)Ž¡‘Ïc‘ÿ}'errŽ‘3|Á·‘ÇÝ"WARNING!È ÝInÈ ÝPictureŽ‘kÆÜ::output():\n"Ž’¸”2·‘ÇÝ"extract()È ÝreturnedÈ Ž‘kÆÜÝanÈ ÝemptyÈ Ývector.È Ý"Ž’Í”&·Ž¡‘2Ý"Continuing.\n"Ž’„ X·‘ÇÏ ushŽ‘€«;Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂShapQÇeŽ‘"Ab·Ž‘'Aci‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7±iŽ‘/ÒC«=‘DZvŽ–ûÕ:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿý±iŽ‘ 9 ·6«=‘DZvŽ“:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘·fŽ¡‘ÏelementsŽ‘Dåþ±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(·Ž‘±iŽ‘qõ«);Ž¡‘·gŽ¡‘ gŽ¡‘ -ÝDEBUGŽ‘'r«=‘ÇÏfalseŽ‘v\«;ŽŽŽŒ‹˜° Šn ý‘ì«152›ÂF®9OCUS‘ÕX­AR•ÃŽGUMENT’XE3DLDFPR“G˜·x«550Ž €n ý•@PÂ550.‘ ü«Set–UUthe“extremes“for“the“ÂShapQÇeŽ‘%–·«and“handle“the“error“if“it“returns“ÏfalseŽ‘™«.‘qÇ(LDF“Undated)ŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ -«[¬LDF‘T2002.09.18.«]Ž‘Y„`ÊŽŽ¡·h–ª¨«De ne‘UUÂPictureŽ‘,F·«functions‘@­219“·i‘Ç«+·Ž© ‘ +ÝDEBUGŽ‘'r«=‘ÇÏfalseŽ‘v\«;ŽŽŽŒ‹™¡ Šn ý‘ì·x«550›­3DLDFPR•ÃŽG’XEÂF®9OCUS‘ÕX­AR“GUMENT˜«153Ž €n ý•@PÂ550.‘ ü«Set–UUthe“extremes“for“the“ÂShapQÇeŽ‘%–·«and“handle“the“error“if“it“returns“ÏfalseŽ‘™«.‘qÇ(LDF“Undated)ŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¤ ‘ +«[¬LDF‘T2002.09.18.«]Ž‘Y“«0Ž‘Ç)‘·fŽ¡‘ÂifŽ‘´ú«(Ïsort‘‰ffŽ‘®valueŽ‘.±2·‘ÇÝMIN_ZŽ‘q«)‘ÏsortŽ‘2Ò«(ÏelementsŽ‘&åû±:Ïb–ÿ}'e“ginŽ‘¾¨«(–ª¨)±;“ÏelementsŽ‘(£±:ÏendŽ‘ಫ(“)±;“ÂCompareu½‰™šs4Ž–Ôwminim®9umu½‰™šs4Ž“zŽ‘n;þ«(“));Ž¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ïsort‘‰ffŽ‘®valueŽ‘.±2·‘ÇÝMAX_ZŽ‘q«)‘ÏsortŽ‘2Ò«(ÏelementsŽ‘&åû±:Ïb–ÿ}'e“ginŽ‘¾¨«(–ª¨)±;“ÏelementsŽ‘(£±:ÏendŽ‘ಫ(“)±;“ÂCompareu½‰™šs4Ž–Ôwmaxim®9umu½‰™šs4Ž“zŽ‘pOŠ«(“));Ž¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ïsort‘‰ffŽ‘®valueŽ‘.±2·‘ÇÝMEAN_ZŽ‘"Ín«)‘ÏsortŽ‘2Ò«(ÏelementsŽ‘&åû±:Ïb–ÿ}'e“ginŽ‘¾¨«(–ª¨)±;“ÏelementsŽ‘(£±:ÏendŽ‘ಫ(“)±;“ÂCompareu½‰™šs4Ž–Ôwmeanu½‰™šs4Ž“zŽ‘Yxv«(“));Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘ÂifŽ‘)´û«(Ïsort‘‰ffŽ‘®valueŽ‘.±2·‘ÇÝMIN_ZŽ‘q«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"È Ý***È ÝMIN_ZÈ Ýsort.È Ý**Ž‘kÆÜ*\n"Ž’M8«;Ž¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(Ïsort‘‰ffŽ‘®valueŽ‘.±2·‘ÇÝMAX_ZŽ‘q«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"È Ý***È ÝMAX_ZÈ Ýsort.È Ý**Ž‘kÆÜ*\n"Ž’M8«;Ž¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(Ïsort‘‰ffŽ‘®valueŽ‘.±2·‘ÇÝMEAN_ZŽ‘"Ín«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"È Ý***È ÝMEAN_ZÈ Ýsort.È Ý*Ž‘kÆÜ**\n"Ž’†5«;Ž¡‘ÂforŽ‘/艫(ÏiterŽ‘’«=‘ÇÏelementsŽ–)­±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏelementsŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘(Ïc‘ÿ}'outŽ‘@yï·‘ ´Ý"MinÈ Ýz:È Ý"Ž›:µ·– ´«(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïget‘‰ffŽ–®minimum‘‰ffŽ“zŽ‘C]Ø«(‘ª¨)“·“Ïend‘‚ØlŽ‘3*·“Ý"MaxÈ Ýz:È Ý"Ž˜·Ž¡‘<«(·Ž‘Ž‘ @@ -2142,7 +2173,7 @@ g‘±=·‘Ы[¬LDF‘T2002.04.25.«]Ž‘T'ÝAdded–e(follo¸ãwing“line.›¡@This“ xes“a“bug.˜If“I‘e$don't“reset“Ïtr‘ÿ}'ansformŽ‘2}‘«to“iden•¸ãtit“y‘ÿ*ª,Ž¡‘(it–UUwill“bGe“applied“again“eacš¸ãh“time“I“output“a“ÂPictureŽ‘(ñb«,“whic˜h“is“not“what“I“w˜an˜t.‘o·±=Ž¡‘ Ïtr‘ÿ}'ansformŽ‘5³B±:Ïr‘ÿ}'esetŽ‘Æ·«(‘ª¨);Ž¡‘ ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝPicture::ouŽ‘kÆÜtput(constÈ ÝFocus&È Ý..Ž’ÔÆ .).\n"Ž’÷”·‘ÇÏ ushŽ‘€«;Ž¡‘ -·gŽŽŽŒ‹š¥ Šn ý‘ì«154›­NO–ÕXÂF®9OCUS“­AR•ÃŽGUMENT’õˆ‘3DLDFPR“G˜·x«554Ž €n ý•@PÂ554.‘ üNo–ÕTF‘ÿ +·gŽŽŽŒ‹›¤¬ Šn ý‘ì·x«554‘­3DLDFPRšÃŽG’õˆ‘NO–ÕXÂF®9OCUS“­AR˜GUMENT‘«155Ž €n ý•@PÂ554.‘ üNo–ÕTF‘ÿ «oQÇcus“argumen®9t.Ž©·h–ª¨«De ne‘UUÂPictureŽ‘,F·«functions‘@­219“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘#úUPictureŽ‘J–f«::‘ÏoutputŽ‘D«(ÂconstŽ‘'unsignedŽ‘PZ¨shortŽ‘o!ÇÏpr‘ÿ}'ojŽ’‚б;‘ª¨ÂrealŽ‘ZRÏfactorŽ‘4^0±;‘ª¨ÂconstŽ‘ ÑÆunsignedŽ‘RPshortŽŽ¡‘2Ïsort‘‰ffŽ‘®valueŽ‘]ê±;‘ª¨ÂconstŽ‘ 3b•QÇo“olŽ‘:‚Ïdo‘‰ffŽ‘®warningsŽ‘p=D±;‘ª¨ÂconstŽ‘ 3realŽ‘7JÏmin‘‰ffŽ–®x‘‰ffŽ“pr‘ÿ}'ojŽ‘f똱;‘ª¨ÂconstŽ‘ 3realŽ‘7JÏmax‘‰ffŽ–®x‘‰ffŽ“pr‘ÿ}'ojŽ‘gû=±;‘ª¨ÂconstŽŽ¡‘2realŽ‘H³3Ïmin‘‰ffŽ–®y‘‰ffŽ“pr‘ÿ}'ojŽ‘x»÷±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏmax‘‰ffŽ–®y‘‰ffŽ“pr‘ÿ}'ojŽ‘g á±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏmin‘‰ffŽ–®z‘‰ffŽ“pr‘ÿ}'ojŽ‘eÌù±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏmax‘‰ffŽ–®z‘‰ffŽ“pr‘ÿ}'ojŽ‘fÜž«)Ž¡‘ ·fŽ¡‘ÏoutputŽ‘1B«(Ïdefault‘‰ffŽ‘®fo‘ÿ}'cusŽ‘7Ýþ±;‘ª¨Ïpr‘ÿ}'ojŽ‘žk±;‘ª¨ÏfactorŽ‘®†±;‘ª¨Ïsort‘‰ffŽ‘®valueŽ‘-”±;‘ª¨Ïdo‘‰ffŽ‘®warningsŽ‘7ßj±;‘ª¨Ïmin‘‰ffŽ–®x‘‰ffŽ“pr‘ÿ}'ojŽ‘1{ö±;‘ª¨Ïmax‘‰ffŽ–®x‘‰ffŽ“pr‘ÿ}'ojŽ‘2‹›±;‘ª¨Ïmin‘‰ffŽ–®y‘‰ffŽ“pr‘ÿ}'ojŽ‘1³l±;Ž¡‘(Ïmax‘‰ffŽ–®y‘‰ffŽ“pr‘ÿ}'ojŽ‘Ym±;‘ª¨Ïmin‘‰ffŽ–®z‘‰ffŽ“pr‘ÿ}'ojŽ‘0ï)±;‘ª¨Ïmax‘‰ffŽ–®z‘‰ffŽ“pr‘ÿ}'ojŽ‘1þΫ);Ž¡‘ @@ -2166,23 +2197,23 @@ «oQÇcusŽ‘#Ÿö«functions‘@­558“·iŽ¡‘ g«;ŽŸ ­This–ÕXco‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +·f‘ª¨gޤ ­See–ÕXalso“sections“560,“562,“565,“567,“569,“571,“573,“576,“577,“578,“579,“580,“581,“583,“and“584.Ž¡This–ÕXco„`ÊŽŽ¦560.‘ üConstructor.Ž¡·h–ª¨«Declare‘UUÂF‘ÿ +«ransformŽ‘7ÈÒ«.ޤŸüÈ„`ÕÁGŽŽ¦Â560.‘ üConstructor.Ž¡·h–ª¨«Declare‘UUÂF‘ÿ «oQÇcusŽ‘#Ÿö«functions‘@­558“·i‘Ç«+·ޤ ‘ ÂF‘ÿ «oQÇcusŽ‘&õM«(ÂconstŽ‘:realŽ‘4¥Ïp‘ÿ}'os‘‰ffŽ‘®xŽ‘Lz…±;‘ª¨ÂconstŽ‘¸ârealŽ‘6O¨Ïp‘ÿ}'os‘‰ffŽ‘®yŽ‘N ܱ;‘ª¨ÂconstŽ‘¸ârealŽ‘6O¨Ïp‘ÿ}'os‘‰ffŽ‘®zŽ‘MžÇ±;‘ª¨ÂconstŽ‘¸ârealŽ‘6O¨Ïdir‘‰ffŽ‘®xŽ‘L½[±;‘ª¨ÂconstŽ‘¸ârealŽ‘6O¨Ïdir‘‰ffŽ‘®yŽ‘L£ ±;‘ª¨ÂconstŽŽ¡‘realŽ‘4³1Ïdir‘‰ffŽ‘®zŽ‘Jš~±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏdistŽ‘G”å±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏangŽ‘J -6«=‘Ç0Ž‘Ç±;‘ª¨Âc®9harŽ‘ñÏaxŽ‘)S$«=‘ÇÝ'z'Ž‘ w«);ŽŽŽŒ‹œÒA Šn ý‘ì«156›­CONSTR•ÃŽUCTOR’Bz3DLDFPR“G˜·x«561Ž €n ý•@PÂ561.Ž©·h–ª¨«De ne‘UUÂF‘ÿ +6«=‘Ç0Ž‘Ç±;‘ª¨Âc®9harŽ‘ñÏaxŽ‘)S$«=‘ÇÝ'z'Ž‘ w«);ŽŽŽŒ‹ÑÞ Šn ý‘ì·x«561›­3DLDFPR•ÃŽG’BzCONSTR“UCTOR˜«157Ž €n ý•@PÂ561.Ž©·h–ª¨«De ne‘UUÂF‘ÿ «oQÇcusŽ‘#Ÿö«functions‘@­561“·i‘Çޤ ‘ ÂF‘ÿ «oQÇcusŽ‘'õQ«::‘ÂF‘ÿ @@ -2190,7 +2221,7 @@ :‘qÇÏdistanc‘ÿ}'eŽ‘(·Ä«(ÏdistŽ‘ m«)±;‘ÿýÏangleŽ‘ÀP«(ÏangŽ‘º¦«)±;‘ÿýÏaxisŽ‘<Å«(ÏaxŽ‘ w«)‘UU·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝFocus()È Ý(7Ž‘kÆÜÈ ÝrealÈ Ýarguments).\n"Ž’Ø ·‘ÇÏ ushŽ‘€«;Ž¡‘ÏaxisŽ‘)â«=‘ÇÏtolowerŽ‘#í«(ÏaxisŽ‘<È«);Ž¡‘ÂifŽ‘´ú«(ÏaxisŽ‘à·6«=‘ÇÝ'x'Ž–FW·^‘8àÏaxisŽ›<À·6«=‘ÇÝ'y'Ž“·^‘8àÏaxisŽ˜·6«=‘ÇÝ'z'Ž‘ w«)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘7ÁA·‘ ˜Ý"WARNING!È ÝInÈ ÝFocus()Ž‘p \È Ý(7È ÝrealÈ Ýarguments):Ž’Ù \n"Ž’ð]·Ž¡‘2Ý"axisÈ ÝargumentÈ ÝhasÈ ÝiŽ’šÿÉnvalidÈ Ývalue:È Ý"Ž’í ·‘ÇÏaxisŽ‘Êø·‘ÇÝ".È ÝUsingÈ Ý'z'\n"Ž‘TÔk·‘ÇÏ ushŽ‘€«;Ž¡‘ÏaxisŽ‘3ã«=‘ÇÝ'z'Ž‘ w«;Ž¡‘·gŽ¡‘Ïp‘ÿ}'ositionŽ‘7DY±:ÏsetŽ‘ x„«(Ïp‘ÿ}'os‘‰ffŽ‘®xޑՅ±;‘ª¨Ïp‘ÿ}'os‘‰ffŽ‘®yŽ‘eܱ;‘ª¨Ïp‘ÿ}'os‘‰ffŽ‘®zŽ‘ùÇ«);Ž¡‘Ïdir–ÿ}'e“ctionŽ‘:øó±:ÏsetŽ‘ x„«(Ïdir‘‰ffŽ‘®xŽ‘m³±;‘ª¨Ïdir‘‰ffŽ‘®yŽ‘þ ±;‘ª¨Ïdir‘‰ffŽ‘®zŽ‘‘õ«);Ž¡#ÂifŽ‘ ´ø«0ŽŽ¡‘Ïtr‘ÿ}'ansformŽ‘?³C±:Ïr‘ÿ}'esetŽ‘Æ·«(‘ª¨);Ž¡‘±=·‘ÿý«[¬LDF‘T2002.12.10.«]Ž‘T7This–UUdošGesn't“seem“to“b˜e“necessary‘ÿ*ª.‘qÇI“b˜eliev¸ãe“I“added“it“while“debugging.‘o·±=Ž¡«#ÂendifŽŽ¡‘ifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïtr‘ÿ}'ansformŽ‘I³D±:ÏshowŽ‘Šÿ«(Ý"transformÈ ÝbeforeÈ ÝalŽ‘hÿÄignment."Ž’˜Æ«);Ž¡‘·gŽ¡‘Ïtr‘ÿ}'ansformŽ‘?³C±:Ïalign‘‰ffŽ–®with‘‰ffŽ“axisŽ‘@²x«(Ïp‘ÿ}'ositionŽ‘#DW±;‘ª¨Ïdir–ÿ}'e“ctionŽ‘(£™±;‘ª¨ÏaxisŽ‘çp«);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïtr‘ÿ}'ansformŽ‘I³D±:ÏshowŽ‘Šÿ«(Ý"transformÈ ÝafterÈ ÝaliŽ‘hÿÄgnment."Ž’“†«);Ž¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"EnterÈ ÝÈ ÝtoÈ ÝcŽ‘kÆÜontinue.\n\n"Ž’³T5·‘ÇÏ ushŽ‘€«;Ž¡‘·gަ‘ÂT‘ÿ «ransformŽ‘KÜ/Ïunalign‘‰ffŽ‘®upŽ‘~«=‘çZÏtr‘ÿ}'ansformŽ‘.š›±:ÏinverseŽ‘ ‡«(‘ª¨);‘ª¯±=·‘X«Use–h°the“pGositiv¸ãe“y-axis“for“the“\up"“direction,Ž¡‘(if‘UUÏaxisŽ›Y5·‘ÇÝ'x'Ž‘bÌ«or‘UUÝ'z'Ž‘›´«,–UUand“the“pGositiv¸ãe“x-axis“if“ÏaxisŽ˜·‘ÇÝ'y'Ž‘ w«.‘o·±=ަ‘ÂifŽ‘´ú«(ÏaxisŽ‘à·‘ÇÝ'z'Ž‘FW·_‘8àÏaxisŽ‘<À·‘ÇÝ'x'Ž‘ w«)‘ÏupŽ‘ž¾±:ÏsetŽ‘ x„«(0Ž‘±;‘ª¨«1Ž–ª©±;‘ª¨«0Ž“);Ž¡‘ÂelseŽ‘+ØáÏupŽ‘7wŸ±:ÏsetŽ‘ x„«(1Ž‘±;‘ª¨«0Ž–ª©±;‘ª¨«0Ž“);Ž¡‘ÂifŽ‘´ú«(ÏangleŽ‘‡k·6«=‘Ç0Ž‘Ç)‘·fŽ¡‘ÂifŽ‘)´û«(ÏaxisŽ‘à·‘ÇÝ'z'Ž‘ w«)‘ÏupŽ‘eÖ·«=ŽŽ‘"ô Ïtr‘ÿ}'ansformŽ‘N§N±:Ïr‘ÿ}'otateŽ‘o>«(0Ž‘±;‘ª¨«0Ž‘ª©±;‘ª¨·Ž‘ qÆÏangleŽ‘!2«);Ž¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(ÏaxisŽ‘à·‘ÇÝ'x'Ž‘ w«)‘ÏupŽ‘eÖ·«=ŽŽ‘"ô Ïtr‘ÿ}'ansformŽ‘N§N±:Ïr‘ÿ}'otateŽ‘o>«(·Ž‘ÇÏangleŽ‘‡q«);Ž¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(ÏaxisŽ‘à·‘ÇÝ'y'Ž‘ w«)‘ÏupŽ‘eÖ·«=ŽŽ‘"ô Ïtr‘ÿ}'ansformŽ‘N§N±:Ïr‘ÿ}'otateŽ‘o>«(0Ž‘±;‘ª¨·Ž‘ qÆÏangleŽ‘!2«);Ž¡‘ÂelseŽ‘5Øâ·fŽ¡‘(Ïc‘ÿ}'errŽ‘@hú·‘³PÝ"ERROR!È ÝInÈ ÝFocus::FoŽ‘n³cus():\n"Ž’¤,±·‘³PÝ"ThisÈ Ýcan'tÈ Ýhappen!È Ž‘n³Ý\ŽŽ¡‘<È ÝaxisÈ ÝhasÈ ÝinvalidÈ ÝvaŽ’¤ÿÊlue:È Ý"Ž’È­·‘ŠÏaxisŽ‘Qâ·‘ŠÏend‘‚Ølޑܷ‘ŠÝ"RotatingÈ ÝaroundÈ Ýz-aŽ‘lŠQxis.\n"Ž’•[1·Ž¡‘<Ý"EnterÈ ÝÈ ÝtoÈ ÝtŽ’¤ÿÊryÈ ÝtoÈ Ýcontinue.\n"Ž’Í·‘ÇÏ ushŽ‘€«;Ž¡‘(ÏupŽ‘6eÚ·«=ŽŽ‘EôÏtr‘ÿ}'ansformŽ‘q§R±:Ïr‘ÿ}'otateŽ‘o>«(0Ž‘±;‘ª¨«0Ž‘ª©±;‘ª¨·Ž‘ qÆÏangleŽ‘!2«);Ž¡‘·gŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘ÏupŽ‘ž¾±:ÏshowŽ‘Šÿ«(Ý"upÈ ÝafterÈ Ýrotation"Ž‘dF/«);Ž¡‘·gŽ¡‘ÏupŽ‘"eØ·«=ŽŽ‘1ôÏunalign‘‰ffŽ‘®upŽ‘a2›«;Ž¡‘ÏupŽ‘žÀ±:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);Ž¡‘Ïtr‘ÿ}'ansformŽ‘?³C±:ÏshiftŽ‘}«(0Ž‘±;‘ª¨«0Ž‘ª©±;‘ª¨·Ž‘ qÆÏdistanc‘ÿ}'eŽ‘-·Ã«);Ž¡‘Ïp‘ÿ}'erspŽ‘+ÂG±:Ïset‘‰ffŽ‘®elementŽ‘2 ×«(2Ž‘±;‘ª¨«2Ž–ª©±;‘ª¨«0Ž“);Ž¡‘Ïp‘ÿ}'erspŽ‘+ÂG±:Ïset‘‰ffŽ‘®elementŽ‘2 ×«(2Ž‘±;‘ª¨«3Ž–ª©±;‘ª¨«1Ž“±=Ïdistanc‘ÿ}'eŽ‘$Eý«);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝFocus()È Ý(7È Ž‘kÆÜÝrealÈ Ýarguments).\n"Ž’ÒÔ#·‘ÇÏ ushŽ‘€«;Ž¡‘ -·gŽŸ ­See–ÕXalso“sections“563,“566,“568,“570,“572,“574,“582,“and“585.ŽŽŽŒ‹ݽ Šn ý‘ì·x«561›­3DLDFPR•ÃŽG’BzCONSTR“UCTOR˜«157Ž €n ý•@P­This–ÕXcouC«&Ž‘FuC«&Ž‘F«(0Ž‘±;‘ª¨«0Ž‘ª©±;‘ª¨·Ž‘ qÆÏangleŽ‘!2«);Ž¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(ÏaxisŽ‘à·‘ÇÝ'x'Ž‘ w«)‘ÏupŽ‘eÖ·«=ŽŽ‘"ô Ïtr‘ÿ}'ansformŽ‘N§N±:Ïr‘ÿ}'otateŽ‘o>«(·Ž‘ÇÏangleŽ‘‡q«);Ž¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(ÏaxisŽ‘à·‘ÇÝ'y'Ž‘ w«)‘ÏupŽ‘eÖ·«=ŽŽ‘"ô Ïtr‘ÿ}'ansformŽ‘N§N±:Ïr‘ÿ}'otateŽ‘o>«(0Ž‘±;‘ª¨·Ž‘ qÆÏangleŽ‘!2«);Ž¡‘ÂelseŽ‘5Øâ·fŽ¡‘(Ïc‘ÿ}'errŽ‘@hú·‘³PÝ"ERROR!È ÝInÈ ÝFocus::FoŽ‘n³cus():\n"Ž’¤,±·‘³PÝ"ThisÈ Ýcan'tÈ Ýhappen!È Ž‘n³Ý\ŽŽ¡‘<È ÝaxisÈ ÝhasÈ ÝinvalidÈ ÝvaŽ’¤ÿÊlue:È Ý"Ž’È­·‘ŠÏaxisŽ‘Qâ·‘ŠÏend‘‚Ølޑܷ‘ŠÝ"RotatingÈ ÝaroundÈ Ýz-aŽ‘lŠQxis.\n"Ž’•[1·Ž¡‘<Ý"EnterÈ ÝÈ ÝtoÈ ÝtŽ’¤ÿÊryÈ ÝtoÈ Ýcontinue.\n"Ž’Í·‘ÇÏ ushŽ‘€«;Ž¡‘(ÏupŽ‘6eÚ·«=ŽŽ‘EôÏtr‘ÿ}'ansformŽ‘q§R±:Ïr‘ÿ}'otateŽ‘o>«(0Ž‘±;‘ª¨«0Ž‘ª©±;‘ª¨·Ž‘ qÆÏangleŽ‘!2«);Ž¡‘·gŽ¡‘gŽ¡‘ÏupŽ‘"eØ·«=ŽŽ‘1ôÏunalign‘‰ffŽ‘®upŽ‘a2›«;Ž¡‘ÏupŽ‘žÀ±:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);Ž¡‘Ïtr‘ÿ}'ansformŽ‘?³C±:ÏshiftŽ‘}«(0Ž‘±;‘ª¨«0Ž‘ª©±;‘ª¨·Ž‘ qÆÏdistanc‘ÿ}'eŽ‘-·Ã«);Ž¡‘Ïp‘ÿ}'erspŽ‘+ÂG±:Ïset‘‰ffŽ‘®elementŽ‘2 ×«(2Ž‘±;‘ª¨«2Ž–ª©±;‘ª¨«0Ž“);Ž¡‘Ïp‘ÿ}'erspŽ‘+ÂG±:Ïset‘‰ffŽ‘®elementŽ‘2 ×«(2Ž‘±;‘ª¨«3Ž–ª©±;‘ª¨«1Ž“±=Ïdistanc‘ÿ}'eŽ‘$Eý«);Ž¡‘ -·gŽŸÂ573.‘ üSho®9w.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +·gŽŸÂ573.‘ üSho®9w.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.09.17.«]Ž‘Y;Added–UUthis“function.Ž¡‘ -[¬LDF‘T2003.07.09.«]Ž‘Y;Made–UUthe“argumen¸ãts“ÂconstŽ‘*¢«.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂF‘ÿ +[¬LDF‘T2003.07.09.«]Ž‘Y;Made–UUthe“argumen¸ãts“ÂconstŽ‘*¢«.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂF‘ÿ «oQÇcusŽ‘#Ÿö«functions‘@­558“·i‘Ç«+·Ž¡‘ -Âv®9oidŽ‘"ýÙÏshowŽ‘9ˆØ«(ÂconstŽ‘*¢stringŽ‘?OïÏtext‘‰ffŽ‘®strŽ‘bÞK«=‘ÇÝ"Focus:"Ž‘-Mh±;‘ª¨ÂconstŽ‘ÕJb•QÇo“olŽ‘9v°Ïshow‘‰ffŽ‘®tr‘ÿ}'ansformsŽ’„¸2«=‘ÇÏfalseŽ‘v\«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹ C Šn ý‘ì«160›­SHO•ÃŽW’H’F3DLDFPR“G˜·x«574Ž €n ý•@PÂ574.ŽŸ·h–ª¨«De ne‘UUÂF‘ÿ +Âv®9oidŽ‘"ýÙÏshowŽ‘9ˆØ«(ÂconstŽ‘*¢stringŽ‘?OïÏtext‘‰ffŽ‘®strŽ‘bÞK«=‘ÇÝ"Focus:"Ž‘-Mh±;‘ª¨ÂconstŽ‘ÕJb•QÇo“olŽ‘9v°Ïshow‘‰ffŽ‘®tr‘ÿ}'ansformsŽ’„¸2«=‘ÇÏfalseŽ‘v\«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹¡¹ Šn ý‘ì·x«574›­3DLDFPR•ÃŽG’H’FSHO“W˜«161Ž €n ý•@PÂ574.ŽŸ·h–ª¨«De ne‘UUÂF‘ÿ «oQÇcusŽ‘#Ÿö«functions‘@­561“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙF‘ÿ «oQÇcusŽ‘@ó)«::‘ÏshowŽ‘‹«(ÂconstŽ‘*¢stringŽ‘?OïÏtext‘‰ffŽ‘®strŽ‘`3±;‘ª¨ÂconstŽ‘ÕJb•QÇo“olŽ‘9v°Ïshow‘‰ffŽ‘®tr‘ÿ}'ansformsŽ’ñ«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÏtext‘‰ffŽ‘®strŽ‘&Ut·‘ÇÏend‘‚ØlŽ‘¸Ú«;Ž¡‘Ïp‘ÿ}'ositionŽ‘7DY±:ÏshowŽ‘Šÿ«(Ý"position:"Ž‘:FG«);Ž¡‘Ïdir–ÿ}'e“ctionŽ‘:øó±:ÏshowŽ‘Šÿ«(Ý"direction:"Ž‘?†D«);Ž¡‘ÏupŽ‘žÀ±:ÏshowŽ‘Šÿ«(Ý"up:"Ž‘ÆY«);Ž¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"distanceÈ Ý==È Ý"Ž‘O”n·‘ÇÏdistanc‘ÿ}'eŽ‘)Ô-·‘ÇÝ".È Ý"Ž‘Œ·‘ÇÝ"axisÈ Ý==È Ý"Ž‘:”z·‘ÇÏaxisŽ‘Êø·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"angleÈ Ý==È Ý"Ž‘?Ôw·‘ÇÏangleŽ‘Nƒ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ÂifŽ‘´ú«(Ïshow‘‰ffŽ‘®tr‘ÿ}'ansformsŽ‘KA‚·‘ÇÏtrueŽ‘‹°«)‘·fŽ¡‘Ïtr‘ÿ}'ansformŽ‘I³D±:ÏshowŽ‘Šÿ«(Ý"transform:"Ž‘?†D«);Ž¡‘Ïp‘ÿ}'erspŽ‘5ÂH±:ÏshowŽ‘Šÿ«(Ý"persp:"Ž‘*†P«);Ž¡‘·gŽ¡‘ÂreturnŽ‘4‘g«;Ž¡‘ ·gŽ©Â575.› üReturning–Ö•elemen®9ts“and“information.˜«[¬LDF‘T2002.09.18.«]Ž‘Z‰MAdded–Vlthis“section.‘u The“functions“inŽ¡this–Ensection“are“noš¸ãw“necessary‘ÿ*ª,‘tsince“I'v˜e“made“ÂF‘ÿ -«oQÇcusŽ‘%€(«a“ÂclassŽ‘ Ø«(it“w˜as“formerly“a“ÂstructŽ‘"«),‘tand“the“dataŽ¡mem¸ãbGers‘UUÂpriv‘ÿ\rateŽ‘&ýÓ«.ަÂ576.‘ üGet‘ÕTpQÇosition.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.09.18.«]Ž‘Y;Added–UUthis“function.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂF‘ÿ +«oQÇcusŽ‘%€(«a“ÂclassŽ‘ Ø«(it“w˜as“formerly“a“ÂstructŽ‘"«),‘tand“the“dataŽ¡mem¸ãbGers‘UUÂpriv‘ÿ\rateŽ‘&ýÓ«.ަÂ576.‘ üGet‘ÕTpQÇosition.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.09.18.«]Ž‘Y;Added–UUthis“function.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂF‘ÿ «oQÇcusŽ‘#Ÿö«functions‘@­558“·i‘Ç«+·ޤ ‘ ÂinlineŽ‘)ŠIconstŽ‘G´ëP•®9oin“tŽ‘f¤ˆ«&Ž‘nk¦Ïget‘‰ffŽ‘®p‘ÿ}'ositionŽ’¡ã¹«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïp‘ÿ}'ositionŽ‘[+«;Ž¡‘ -·gަÂ577.‘ üGet‘ÕTdirection.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.07.09.«]Ž‘Y;Added–UUthis“function.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂF‘ÿ +·gަÂ577.‘ üGet‘ÕTdirection.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.07.09.«]Ž‘Y;Added–UUthis“function.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂF‘ÿ «oQÇcusŽ‘#Ÿö«functions‘@­558“·i‘Ç«+·ޤ ‘ ÂinlineŽ‘)ŠIconstŽ‘G´ëP•®9oin“tŽ‘f¤ˆ«&Ž‘nk¦Ïget‘‰ffŽ‘®dir–ÿ}'e“ctionŽ’¥˜S«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïdir–ÿ}'e“ctionŽ‘^ß­«;Ž¡‘ @@ -2263,43 +2294,43 @@ «oQÇcusŽ‘#Ÿö«functions‘@­558“·i‘Ç«+·Ž¡‘ ÂinlineŽ‘)ŠIconstŽ‘G´ërealŽ‘^h«&Ž‘f/7Ïget‘‰ffŽ‘®distanc‘ÿ}'eŽ’š¨ð«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïdistanc‘ÿ}'eŽ‘\,¹«;Ž¡‘ -·gަÂ579.– üGet‘ÕTup.“«[¬LDF‘T2002.09.18.«]Ž‘Zˆ6Added–UUthis“function.ŽŽŽŒ‹¡Æ Šn ý‘ì·x«579–­3DLDFPRÃŽG’A1äGET‘ÕXUP“«161Ž €n ý•@P·h–ª¨«Declare‘UUÂF‘ÿ +·gަÂ579.– üGet‘ÕTup.“«[¬LDF‘T2002.09.18.«]Ž‘Zˆ6Added–UUthis“function.ŽŽŽŒ‹¢ Šn ý‘ì«162–­GET‘ÕXUP’A1ä3DLDFPRÃŽG“·x«579Ž €n ý•@P·h–ª¨«Declare‘UUÂF‘ÿ «oQÇcusŽ‘#Ÿö«functions‘@­558“·i‘Ç«+·ޤ ‘ ÂinlineŽ‘)ŠIconstŽ‘G´ëP•®9oin“tŽ‘f¤ˆ«&Ž‘nk¦Ïget‘‰ffŽ‘®upŽ’Š> «(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼ÏupŽ‘C…z«;Ž¡‘ -·gŽ©Â580.‘ üGet‘ÕTtransform.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.09.18.«]Ž‘Y;Added–UUthis“function.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂF‘ÿ +·gŽ©Â580.‘ üGet‘ÕTtransform.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.09.18.«]Ž‘Y;Added–UUthis“function.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂF‘ÿ «oQÇcusŽ‘#Ÿö«functions‘@­558“·i‘Ç«+·ޤ ‘ ÂinlineŽ‘)ŠIconstŽ‘G´ëT‘ÿ «ransformŽ‘}½«&Ž’‡DÛÏget‘‰ffŽ‘®tr‘ÿ}'ansformŽ’Ã+Ø«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïtr‘ÿ}'ansformŽ‘c™ý«;Ž¡‘ -·gަÂ581.‘ üGet–ÕTtransform“elemen®9t.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +·gަÂ581.‘ üGet–ÕTtransform“elemen®9t.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.09.18.«]Ž‘Y;Added–UUthis“function.Ž¡‘ [¬LDF‘T2003.07.04.«]Ž‘Y;Made–UUnon-inline.‘qÇIt“no¸ãw“calls“ÂT‘ÿ «ransformŽ‘8ÈÖ«::‘Ïget‘‰ffŽ‘®elementŽ‘4#²«(‘ª®)“instead“of“accessingŽ¡Ïtr‘ÿ}'ansformŽ‘+³A±:ÏmatrixŽ‘!”ð«directly‘ÿ*ª.‘qÇThis–UUis“no“longer“pšGossible,“b˜ecause“ÂF‘ÿ «oQÇcusŽ‘#Ÿö«is“no“longer“a“ÂfriendŽ‘$¼«of“ÂT‘ÿ «ransformŽ‘7ÈÒ«.Ž¡‘ -[¬LDF‘T2003.07.09.«]Ž‘Y;Changed–UUthe“ÂconstŽ‘!÷unsignedŽ‘Q·in®9tŽ‘c[ü«argumen¸ãts“to“ÂconstŽ‘!÷unsignedŽ‘Q·shortŽ‘l,S«.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂF‘ÿ +[¬LDF‘T2003.07.09.«]Ž‘Y;Changed–UUthe“ÂconstŽ‘!÷unsignedŽ‘Q·in®9tŽ‘c[ü«argumen¸ãts“to“ÂconstŽ‘!÷unsignedŽ‘Q·shortŽ‘l,S«.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂF‘ÿ «oQÇcusŽ‘#Ÿö«functions‘@­558“·i‘Ç«+·ŽŸ ‘ ÂrealŽ‘ ³/Ïget‘‰ffŽ–®tr‘ÿ}'ansform‘‰ffŽ“elementŽ’ðô«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,SÏr‘ÿ}'owŽ‘}8¾±;‘ª¨ÂconstŽ‘ÕJunsignedŽ‘P XshortŽ‘mÖûÏc‘ÿ}'olumnŽ’Ž -B«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹¢Í Šn ý‘ì«162‘­GET–ÕXTRANSFšÃŽORM“ELEMENT’çÄ 3DLDFPR˜G‘·x«582Ž €n ý•@PÂ582.Ž©·h–ª¨«De ne‘UUÂF‘ÿ +B«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹£ Šn ý‘ì·x«582‘­3DLDFPR•ÃŽG’çÄ GET›ÕXTRANSF“ORM˜ELEMENT‘«163Ž €n ý•@PÂ582.Ž©·h–ª¨«De ne‘UUÂF‘ÿ «oQÇcusŽ‘#Ÿö«functions‘@­561“·i‘Ç«+·ޤ ‘ ÂrealŽ‘ l¦F‘ÿ «oQÇcusŽ‘>aö«::‘Ïget‘‰ffŽ–®tr‘ÿ}'ansform‘‰ffŽ“elementŽ‘b=É«(ÂconstŽ‘äunsignedŽ‘MÔžshortŽ‘kX¸Ïr‘ÿ}'owŽ‘|e#±;‘ª¨ÂconstŽ‘ŽÁunsignedŽ‘OFshortŽ‘m`Ïc‘ÿ}'olumnŽ’6§«)‘ÌÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïtr‘ÿ}'ansformŽ‘c™ý±:Ïget‘‰ffŽ‘®elementŽ‘3#®«(Ïr‘ÿ}'owŽ‘ k±;‘ª¨Ïc‘ÿ}'olumnŽ‘!Ýï«);Ž¡‘ -·gŽŸÂ583.‘ üGet‘ÕTpQÇersp.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.09.18.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂF‘ÿ +·gŽŸÂ583.‘ üGet‘ÕTpQÇersp.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.09.18.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂF‘ÿ «oQÇcusŽ‘#Ÿö«functions‘@­558“·i‘Ç«+·Ž¡‘ ÂinlineŽ‘)ŠIconstŽ‘G´ëT‘ÿ «ransformŽ‘}½«&Ž’‡DÛÏget‘‰ffŽ‘®p‘ÿ}'erspŽ’¯:Ü«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïp‘ÿ}'erspŽ‘O©«;Ž¡‘ -·gŽŸÂ584.‘ üGet–ÕTpQÇersp“elemen®9t.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +·gŽŸÂ584.‘ üGet–ÕTpQÇersp“elemen®9t.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.09.18.«]Ž‘Y;Added–UUthis“function.Ž¡‘ [¬LDF‘T2003.07.04.«]Ž‘Y;Made–UUnon-inline.‘qÇIt“no¸ãw“calls“ÂT‘ÿ «ransformŽ‘8ÈÖ«::‘Ïget‘‰ffŽ‘®elementŽ‘4#²«(‘ª®)“instead“of“accessingŽ¡Ïtr‘ÿ}'ansformŽ‘+³A±:ÏmatrixŽ‘!”ð«directly‘ÿ*ª.‘qÇThis–UUis“no“longer“pšGossible,“b˜ecause“ÂF‘ÿ «oQÇcusŽ‘#Ÿö«is“no“longer“a“ÂfriendŽ‘$¼«of“ÂT‘ÿ «ransformŽ‘7ÈÒ«.Ž¡‘ 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@@ h›ª¨«Declare–UUnon-mem¸ãbGer“functions“for“ÂP•®9oin“tsŽ‘'¸Ý­436˜·iŽ¡‘ h–ª¨«T¸ãypGe‘UUde nitions‘@­12“·iŽ¡‘ h›ª¨«Declarations–UUfor“the“header“ le‘@­18˜·iŽŸÂ591.– üLine“(Èlines.webÂ).‘@`«[¬LDF‘T2002.10.29.«]Ž‘mHšÂLinesŽ’‹®«are–UUnot“ÂShapQÇesŽ‘&Êž«.‘qÇThey“are“used“for“pGerformingŽ¡vš¸ãector–QýopGerations.‘pªA‘QüÂLineŽ‘ü|«is“de ned“b˜y“a“ÂP•®9oin“tŽ‘">B«represen˜ting“a“pGosition“v˜ector“and“a“ÂP•®9oin“tŽ‘">B«represen˜ting“aŽ¡direction‘UUv¸ãector.Ž¡‘ -[¬LDF‘T2003.06.03.«]Ž‘Y;TO–UUDO:“Add“setting“functions.ŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +[¬LDF‘T2003.06.03.«]Ž‘Y;TO–UUDO:“Add“setting“functions.ŽŸ.ŒŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.04.08.«]Ž‘YðÛAdded–=õthis“section.‘+¦[¬LDF‘T2002.04.12.«]Ž‘W€Created“this“ le.‘+¦Remo•¸ãv“ed–=õthe“coGde“for“ÂLineŽŽ¡«from–UUÈpoints.web“«and“put“it“here.Ž¡‘ -[¬LDF‘T2003.11.12.«]Ž‘ZCáRemo•¸ãv“ed–ûthe“vš¸ãersion“con˜trol“iden˜ti ers“from“the“CWEB‘© 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ÂpublicŽ‘)=Ö«:‘ÂP•®9oin“tŽ‘#ïÏp‘ÿ}'ositionŽ‘G3ô«;Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏdir–ÿ}'e“ctionŽ‘Yè«;ަ‘·h–ª¨«Declare‘UUÂLineŽ‘-«constructors‘@­595“·iŽ¡‘h–ª¨«Declare‘UUÂLineŽ‘-«functions‘@­599“·iŽ¡‘ -g«;ŽŸ ­This–ÕXco‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ +g«;ŽŸ ð*­This–ÕXco„`ÊŽŽŸ595.– üDefault‘­²constructor.“«This–2Þconstructor“takš¸ães“t˜w˜o“optional“ÂP•®9oin“tŽ‘"«argumen˜ts.‘fJThe“default“for“theŽ¡ÂP•®9oin“tŽ‘ï«argumen¸ãts–UUis“ÏoriginŽ‘Kv«.ަ·h–ª¨«Declare‘UUÂLineŽ‘-«constructors‘@­595“·i‘ÇŽ¡‘ +It–¯$toGok“me“a“while“to“ gure“out“whš¸ãy“I‘®úw˜as“ha˜ving“problems“with“ÂLinesŽ‘ã«.‘:bThe“constructorŽ¡wš¸ãas–¦œmaking“the“oppGosite“assumption,–ÉŽnamely‘ÿ*ª,“that–¦œit“w˜as“suppGosed“to“calculate“the“ÂLineŽ‘¥»«from“its“argumen˜ts,Ž¡rather–UUthan“just“taking“them“as“they“w¸ãere.‘qÇThis“caused“a“problem“in“ÂPlaneŽ‘!6¼«::‘Ïinterse‘ÿ}'ction‘‰ffŽ‘®lineŽ‘Hƒª«(‘ª®).Ž©ŸüÈ„`ÕÁGŽŽŸÂ595.– 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+[¬LDF‘T2002.04.22.«]Ž‘XChanged–a0return“v‘ÿqÇalue“to“Âb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘7³v«,‘’to“correspGond“with“the“old“v¸ãersion.‘ fThis“facilitatesŽ¡testing,‘A«since–<Àall“I‘<ºha•¸ãv“e–<Àto“do“is“to“commenš¸ãt-out“whic˜hev˜er“v˜ersion“I‘<ºdon't“w˜an˜t“to“use,‘A«and“uncommen˜t-outŽ¡the–UUother“one.‘qÇMade“a“few“c¸ãhanges“in“the“function“de nition“in“order“to“bGe“able“to“return“a“Âb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘8§›«.ަŸüÈ„`ÕÁGŽŽŽŽŒ‹¨O Šn ý‘ì«168–­INTERSECTION’ WÐ3DLDFPRÃŽG“·x«603Ž €n ý•@P·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ «#ÂifŽ‘ ´ø«1Ž‘$´ú±=·–ÿý«0“·±=Ž¡‘ Âb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘C`jP•®9oin“tŽ‘_ú¶«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ‘N–Ú«(ÂconstŽ‘ãpP•®9oin“tŽ‘>‹Û«&Ž‘FRùÏpp0Ž‘W†)±;‘ª¨ÂconstŽ‘ ŽP•®9oin“tŽ‘@6ƒ«&Ž‘Gý¡Ïpp1Ž‘Y0ѱ;‘ª¨ÂconstŽ‘ ŽP•®9oin“tŽŽ¡‘2«&Ž‘9Ç#Ïqq0Ž‘Iô¡±;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒÏqq1Ž‘V¹ƒ«)Ž¡‘ 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ÂpublicŽ‘)=Ö«:‘ÂP•®9oin“tŽ‘#ïÏnormalŽ‘DFU«;Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏp‘ÿ}'ointŽ‘J+«;Ž¡‘ÂrealŽ‘*³0Ïdistanc‘ÿ}'eŽ‘Nù-«;ަ‘·h–ª¨«Declare‘UUÂPlaneŽ‘#Œ «functions‘@­619“·iŽ¡‘ -g«;ŽŸ ­This–ÕXco‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.06.06.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂPlaneŽ‘#Œ «functions‘@­619“·i‘ÇŽŽŽŒ‹¬š Šn ý‘ì«172›­DEF‘ÿ8A•ÃŽUL‘ÿJªT‘ÕXCONSTR“UCTOR’ôQö3DLDFPR“G˜·x«619Ž €n ý•@P‘ -ÂPlaneŽ‘&ád«(Âv®9oidŽ‘¨ƒ«);ޤ ­See–ÕXalso“sections“621,“623,“625,“628,“630,“633,“635,“640,“642,“643,“and“645.Ž¡This–ÕXco‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ© ‘ -«[¬LDF‘T2003.06.06.«]Ž‘Y;Added–UUthis“function.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂPlaneŽ‘#Œ «functions‘@­619“·i‘Ç«+·ަ‘ -ÂPlaneŽ‘&ád«(ÂconstŽ‘*¢PlaneŽ‘>aZ«&Ž‘F(x±pŽ‘K0x«);ŽŸÂ622.Ž¡·h–ª¨«De ne‘UUÂPlaneŽ‘#Œ «functions‘@­620“·i‘Ç«+·ަ‘ -ÂPlaneŽ‘'áh«::‘ÂPlaneŽ‘ág«(ÂconstŽ‘*¢PlaneŽ‘>aZ«&Ž‘F(x±pŽ‘K0x«)ަ‘ -·fަ‘Ž‘ÏthisŽ‘,²Ñ«=‘DZpŽ‘Ï«;ަ‘ÂreturnŽ‘4‘g«;ަ‘ -·gŽŸÂ623.‘ üP•®9oin“t‘ÕTargumen“ts.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ -«[¬LDF‘T2003.06.03.«]Ž‘Y_¾Changed–¬Øthis“function.‘xPBUG‘¬ÁFIX:“Ïdistanc‘ÿ}'eŽ‘+Ÿ­«is“no¸ãw“calculated,‘¸instead“of“bGeing“passedަas–UUan“argumenš¸ãt.‘qÇÏnormalŽ‘(Ô«is“no˜w“made“a“unit“v˜ector.ަ‘ -[¬LDF‘T2003.06.06.«]Ž‘YpCChanged,›×_so–½]that“if“Ïp‘ÿ}'ointŽ‘©F«or“ÏnormalŽ‘'Ñr«is“equal“to“ÝINVALID_POINTŽ‘Hƒž«,˜the“other“one“is“alsoަset–UUto“ÝINVALID_POINTŽ‘H–«,“and“Ïdistanc‘ÿ}'eŽ‘*ð§«is“set“to“ÝINVALID_REALŽ‘BÛ™«.ަ‘ -[¬LDF‘T2003.06.06.«]Ž‘Y Argumenš¸ãts–a%are“no“longer“optional.‘•8I'v˜e“made“this“c˜hange,‘dbGecause“I'v˜e“added“a“defaultަconstructor.ަ‘ -[¬LDF‘T2003.06.06.«]Ž‘XùÁAdded–FÛconditional“to“test“for“case“that“Ïp‘ÿ}'ointŽ‘ug·Ž‘"<…ÏnormalŽ‘B“=«.‘lôIn“this“case,‘IÀa“w¸ãarning“messageަis–UUprin¸ãted“to“standard“error,“they“are“bGoth“set“to“ÝINVALID_POINTŽ‘H–«,“and“Ïdistanc‘ÿ}'eŽ‘*ð§«is“set“to“ÝINVALID_REALŽ‘BÛ™«.ަ‘ -[¬LDF‘T2003.06.24.«]Ž‘Y^^BUG‘«bFIX:›«xF–ÿ*ªormerly“,‘ÁÝINVALID_PLANEŽ‘L2º«w¸ãas˜returned,‘Áif˜Ïp‘ÿ}'ointŽ‘0¬·‘V¨ÏnormalŽ‘#­`«.‘t1This˜has˜bGeenަc¸ãhanged,›so–„Pthat“ÝINVALID_PLANEŽ‘KÎá«is“returned,˜if“ÏnormalŽ‘&ðl·‘dÏoriginŽ‘ …«.‘þ·There“is,˜of“course,˜no“reason“wh¸ãy“Ïp‘ÿ}'ointŽŽ¦«shouldn't–UUbGe“equal“to“ÏnormalŽ‘#¬ «.Ž¡ŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂPlaneŽ‘#Œ «functions‘@­619“·i‘Ç«+·ަ‘ -ÂPlaneŽ‘&ád«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié];‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒ±nŽ‘LŒŸ«);ŽŽŽŒ‹­¥^ Šn ý‘ì·x«624›­3DLDFPR•ÃŽG’ÛÎÂPOINT‘ÕX­AR“GUMENTS˜«173Ž €n ý•@PÂ624.Ž©·h–ª¨«De ne‘UUÂPlaneŽ‘#Œ «functions‘@­620“·i‘Ç«+·ޤ ‘ +g«;ŽŸ ­This–ÕXcoaZ«&Ž‘F(x±pŽ‘K0x«);ŽŽŽŒ‹®¥) Šn ý‘ì«174›­COPY‘ÕXCONSTR•ÃŽUCTOR’‡Z3DLDFPR“G˜·x«622Ž €n ý•@PÂ622.Ž©·h–ª¨«De ne‘UUÂPlaneŽ‘#Œ «functions‘@­620“·i‘Ç«+·ޤ ‘ +ÂPlaneŽ‘'áh«::‘ÂPlaneŽ‘ág«(ÂconstŽ‘*¢PlaneŽ‘>aZ«&Ž‘F(x±pŽ‘K0x«)Ž¡‘ +·fŽ¡‘Ž‘ÏthisŽ‘,²Ñ«=‘DZpŽ‘Ï«;Ž¡‘ÂreturnŽ‘4‘g«;Ž¡‘ +·gŽŸÂ623.‘ üP•®9oin“t‘ÕTargumen“ts.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.06.03.«]Ž‘Y_¾Changed–¬Øthis“function.‘xPBUG‘¬ÁFIX:“Ïdistanc‘ÿ}'eŽ‘+Ÿ­«is“no¸ãw“calculated,‘¸instead“of“bGeing“passedŽ¡as–UUan“argumenš¸ãt.‘qÇÏnormalŽ‘(Ô«is“no˜w“made“a“unit“v˜ector.Ž¡‘ +[¬LDF‘T2003.06.06.«]Ž‘YpCChanged,›×_so–½]that“if“Ïp‘ÿ}'ointŽ‘©F«or“ÏnormalŽ‘'Ñr«is“equal“to“ÝINVALID_POINTŽ‘Hƒž«,˜the“other“one“is“alsoŽ¡set–UUto“ÝINVALID_POINTŽ‘H–«,“and“Ïdistanc‘ÿ}'eŽ‘*ð§«is“set“to“ÝINVALID_REALŽ‘BÛ™«.Ž¡‘ +[¬LDF‘T2003.06.06.«]Ž‘Y Argumenš¸ãts–a%are“no“longer“optional.‘•8I'v˜e“made“this“c˜hange,‘dbGecause“I'v˜e“added“a“defaultŽ¡constructor.Ž¡‘ +[¬LDF‘T2003.06.06.«]Ž‘XùÁAdded–FÛconditional“to“test“for“case“that“Ïp‘ÿ}'ointŽ‘ug·Ž‘"<…ÏnormalŽ‘B“=«.‘lôIn“this“case,‘IÀa“w¸ãarning“messageŽ¡is–UUprin¸ãted“to“standard“error,“they“are“bGoth“set“to“ÝINVALID_POINTŽ‘H–«,“and“Ïdistanc‘ÿ}'eŽ‘*ð§«is“set“to“ÝINVALID_REALŽ‘BÛ™«.Ž¡‘ +[¬LDF‘T2003.06.24.«]Ž‘Y^^BUG‘«bFIX:›«xF–ÿ*ªormerly“,‘ÁÝINVALID_PLANEŽ‘L2º«w¸ãas˜returned,‘Áif˜Ïp‘ÿ}'ointŽ‘0¬·‘V¨ÏnormalŽ‘#­`«.‘t1This˜has˜bGeenŽ¡c¸ãhanged,›so–„Pthat“ÝINVALID_PLANEŽ‘KÎá«is“returned,˜if“ÏnormalŽ‘&ðl·‘dÏoriginŽ‘ …«.‘þ·There“is,˜of“course,˜no“reason“wh¸ãy“Ïp‘ÿ}'ointŽŽ¡«shouldn't–UUbGe“equal“to“ÏnormalŽ‘#¬ «.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂPlaneŽ‘#Œ «functions‘@­619“·i‘Ç«+·Ž¡‘ +ÂPlaneŽ‘&ád«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié];‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒ±nŽ‘LŒŸ«);ŽŽŽŒ‹¯©½ Šn ý‘ì·x«624›­3DLDFPR•ÃŽG’ÛÎÂPOINT‘ÕX­AR“GUMENTS˜«175Ž €n ý•@PÂ624.Ž©·h–ª¨«De ne‘UUÂPlaneŽ‘#Œ «functions‘@­620“·i‘Ç«+·ޤ ‘ ÂPlaneŽ‘'áh«::‘ÂPlaneŽ‘ág«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié];‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒ±nŽ‘LŒŸ«)Ž¡‘ 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à«::Ž‘t˜ÂopQÇeratorŽ’ .Ó«=Ž’§õñ(ÂconstŽ‘*¢PlaneŽ‘>aZ«&Ž‘F(x±pŽ‘K0x«)Ž¡‘ ·fŽ¡‘ÂifŽ‘´ú«(ÏthisŽ‘²Î·‘Ç«&Ž‘ Ž6±pŽ‘–6«)‘±=·‘ÿý«Makš¸ãe–UUsure“it's“not“self-assignmen˜t.‘qÇ[¬LDF‘T2003.06.06.«]Ž‘U$©·±=Ž¡‘ÂreturnŽ‘Aæ½·Ž‘Fæ¾ÏthisŽ‘WÒt«;Ž¡‘Ïp‘ÿ}'ointŽ‘-õ¦«=‘DZpŽ‘Ï:Ïp‘ÿ}'ointŽ‘.Œ«;Ž¡‘ÏnormalŽ‘7Ò«=‘DZpŽ‘Ï:ÏnormalŽ‘ V¸«;Ž¡‘Ïdistanc‘ÿ}'eŽ‘; «=‘DZpŽ‘Ï:Ïdistanc‘ÿ}'eŽ‘$Eý«;Ž¡‘ÂreturnŽ‘7æ¼±pŽ‘<;Ž¡‘ -·gŽŸÂ627.‘ üComparing‘ÕTPlanes.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.06.06.«]Ž‘Y;Added–UUthis“section.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽŸ628.‘ üEqualit®9y‘ÿ -«.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.06.06.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂPlaneŽ‘#Œ «functions‘@­619“·i‘Ç«+·Ž¡‘ +·gŽŸÂ627.‘ üComparing‘ÕTPlanes.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.06.06.«]Ž‘Y;Added–UUthis“section.ަŸüÈ„`ÕÁGŽŽŸÂ628.‘ üEqualit®9y‘ÿ +«.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.06.06.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂPlaneŽ‘#Œ «functions‘@­619“·i‘Ç«+·Ž¡‘ Âb•QÇo“olŽ‘#¡gopQÇeratorŽ‘O8·Ž‘Vÿ:«(ÂconstŽ‘*¢PlaneŽ‘>aZ«&Ž‘F(x±pŽ‘K0x«)‘UUÂconstŽ‘*¢«;ŽŸÂ629.ަ·h–ª¨«De ne‘UUÂPlaneŽ‘#Œ «functions‘@­620“·i‘Ç«+·Ž¡‘ Âb•QÇo“olŽ‘#¡gPlaneŽ‘A‚Ϋ::Ž‘H ÂopQÇeratorŽ‘s§Á·Ž‘{nß«(ÂconstŽ‘*¢PlaneŽ‘>aZ«&Ž‘F(x±pŽ‘K0x«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7漫((Ïp‘ÿ}'ointŽ‘õ¤·‘DZpŽ›Ï:Ïp‘ÿ}'ointŽ‘.Œ«)–8à·^“«(ÏnormalŽ‘#з‘DZpŽ˜:ÏnormalŽ‘ V¸«)“·^“«(Ïdistanc‘ÿ}'eŽ‘' ·‘DZpŽ˜:Ïdistanc‘ÿ}'eŽ‘$Eý«));Ž¡‘ ·gŽŸÂ630.‘ üInequalit®9y‘ÿ -«.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.06.06.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂPlaneŽ‘#Œ «functions‘@­619“·i‘Ç«+·Ž¡‘ -Âb•QÇo“olŽ‘#¡gopQÇeratorŽ‘O8·6«=Ž‘Vÿ:(ÂconstŽ‘*¢PlaneŽ‘>aZ«&Ž‘F(x±pŽ‘K0x«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹¯¸½ Šn ý‘ì·x«631–­3DLDFPRÃŽG’+U¸INEQUALITY“«175Ž €n ý•@PÂ631.Ž©·h–ª¨«De ne‘UUÂPlaneŽ‘#Œ «functions‘@­620“·i‘Ç«+·ޤ ‘ +«.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.06.06.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂPlaneŽ‘#Œ «functions‘@­619“·i‘Ç«+·Ž¡‘ +Âb•QÇo“olŽ‘#¡gopQÇeratorŽ‘O8·6«=Ž‘Vÿ:(ÂconstŽ‘*¢PlaneŽ‘>aZ«&Ž‘F(x±pŽ‘K0x«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹±¹@ Šn ý‘ì·x«631–­3DLDFPRÃŽG’+U¸INEQUALITY“«177Ž €n ý•@PÂ631.Ž©·h–ª¨«De ne‘UUÂPlaneŽ‘#Œ «functions‘@­620“·i‘Ç«+·ޤ ‘ Âb•QÇo“olŽ‘#¡gPlaneŽ‘A‚Ϋ::Ž‘H ÂopQÇeratorŽ‘s§Á·6«=Ž‘{nß(ÂconstŽ‘*¢PlaneŽ‘>aZ«&Ž‘F(x±pŽ‘K0x«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼·:«(ÂopQÇeratorŽ‘+–µ·Ž‘3]Ó«(±pŽ‘«));Ž¡‘ ·gޤÂ632.‘ üGet‘ÕTdistance.Ž¡633.› üP•®9oin“t‘6Ôargumen“t.˜«[¬LDF‘T2003.06.03.«]Ž‘[»šThis–ˆ¹function“returns“a“Ârealu½‰™šs4Ž‘ÔwshortŽ‘;%Û±rŽ‘?ïï«,‘Õ’where“±rŽ‘ RÍ:Ï rstŽ‘>c«is“theޤ distance–>ÿof“the“ÂP•®9oin“tŽ‘"F«from“the“ÂPlaneŽ‘ b«.‘jU±rŽ› 4i:Ï rstŽ‘ô©«is“alw•¸ãa“ys‘>ÿpGositiv“e.‘jU±rŽ˜:Ïse–ÿ}'c“ondŽ‘ æÆ«can›>ÿtak“e˜on˜the˜follo“wing˜v‘ÿqÇalues:Ž¡0Ž‘ If–UUthe“ÂP•®9oin“tŽ‘"Dò«lies“in“the“ÂPlaneŽ‘ 6¸«.Ž¡1Ž‘ If–,éit“lies“on“the“side“of“the“ÂPlaneŽ‘#;5«pGoinš¸ãted“at“b˜y“the“normal“to“the“ÂPlaneŽ‘ 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üP•®9oin“t–ðlis“on“Plane.˜«[¬LDF‘T2003.06.04.«]Ž‘ZŸÅThis–läfunction“returns“ÏtrueŽ‘1|«,‘rÈif“the“ÂP•®9oin“tŽ‘"t«lies“on“the“ÂPlaneŽŽ¡±pŽ‘«,‘Y‹otherwise‘X³ÏfalseŽ‘÷«.›{âDeclared–X³in“Èpoints.web«.˜Must“bšGe“de ned“here,‘Y‹b˜ecause“ÂPlaneŽ‘#’É«is“an“incomplete“t¸ãyp˜e“inŽ¡that‘UU le.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.06.04.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·Ž¡‘ +·gŽŸÂ637.› üP•®9oin“t–ðlis“on“Plane.˜«[¬LDF‘T2003.06.04.«]Ž‘ZŸÅThis–läfunction“returns“ÏtrueŽ‘1|«,‘rÈif“the“ÂP•®9oin“tŽ‘"t«lies“on“the“ÂPlaneŽŽ¡±pŽ‘«,‘Y‹otherwise‘X³ÏfalseŽ‘÷«.›{âDeclared–X³in“Èpoints.web«.˜Must“bšGe“de ned“here,‘Y‹b˜ecause“ÂPlaneŽ‘#’É«is“an“incomplete“t¸ãyp˜e“inŽ¡that‘UU le.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.06.04.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·Ž¡‘ 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les“for“the“distribution“ofŽ¡3DLDF–UU1.1.‘qÇThey're“still“used“in“mš¸ãy“dev˜elopmen˜t“v˜ersions.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦‘ -formatŽ‘3c(ÏPathŽ‘QS›Shap‘ÿ}'eŽŽ¦·h‘ª¨«V‘ÿ*ªersion–UUconš¸ãtrol“iden˜ti er‘@­10‘ª¨·i‘Ç«+·ŽŸÂ653.‘ üInclude‘ÕT les.ަ·h–ª¨«Include‘UU les‘@­11“·i‘Ç«+·Ž¡«#ÂincludeŽ‘'Ø~Ý"loader.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"pspglb.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"io.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"colors.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"transfor.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"shapes.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"pictures.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"points.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"lines.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"planes.h"ŽŽŸÂ654.‘ üP®9ath–ÕTclass“de nition.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +h›ª¨«Declarations–UUfor“the“header“ le‘@­18˜·iŽŸÂ652.– üP®9ath“(Èpaths.webÂ).ŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.11.12.«]Ž‘ZCáRemo•¸ãv“ed–ûthe“vš¸ãersion“con˜trol“iden˜ti ers“from“the“CWEB‘© les“for“the“distribution“ofŽ¡3DLDF–UU1.1.‘qÇThey're“still“used“in“mš¸ãy“dev˜elopmen˜t“v˜ersions.Ž¡‘ +[¬LDF‘T2003.12.10.«]Ž‘YQ‘Put–ž«the“vš¸ãersion“con˜trol“iden˜ti ers“bac˜k“in˜to“m˜y“release“v˜ersions“for“3DLDF‘ž™1.1.4.‘MÊI'v˜eŽ¡already–"¯put“some“of“them“bacš¸ãk“in,‘,Ñno˜w“I'm“doing“the“rest“of“them.‘`åHo˜w˜ev˜er,‘,Ñthe“release“v˜ersions“are“no˜w“inŽ¡their–UUoš¸ãwn“R˜CS“repGository‘ÿ*ª.ަŸüÈ„`ÕÁGŽŽ¦‘ +ÂformatŽ‘3c(ÏPathŽ‘QS›Shap‘ÿ}'eŽŽ¦·h‘ª¨«V‘ÿ*ªersion–UUconš¸ãtrol“iden˜ti er‘@­10‘ª¨·i‘Ç«+·Ž¡‘ +ÂstaticŽ‘)HÚstringŽ‘Jn'Ïr‘ÿ}'cs‘‰ffŽ‘®idŽ‘g(«=‘ÇÝ"$Id:È Ýpaths.web,vÈ Ý1.Ž‘kÆÜ3È Ý2003/12/10È Ý16:10:5Ž’ÔÆ 7È Ýlfinsto1È ÝExpÈ Ý$"Ž’.ŒÕ«;ŽŸÂ653.‘ üInclude‘ÕT les.ަ·h–ª¨«Include‘UU les‘@­11“·i‘Ç«+·Ž¡«#ÂincludeŽ‘'Ø~Ý"loader.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"pspglb.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"io.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"colors.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"transfor.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"shapes.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"pictures.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"points.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"lines.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"planes.h"ŽŽŸÂ654.‘ üP®9ath–ÕTclass“de nition.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.09.18.«]Ž‘X¸Added‘·Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘W «.‘W=It–·conš¸ãtains“the“minim˜um“and“maxim˜um“v‘ÿqÇalues“for“x,–£y‘ÿ*ª,“andŽ¡z–UUof“the“ÂP•®9oin“tsŽ‘&Î.«in“Ïp‘ÿ}'ointsŽ‘yê«.‘qÇIt's“used“in“ÂPictureŽ‘)ñf«::‘ÏoutputŽ‘D«(‘ª®)“for“surface“hiding.Ž¡‘ -[¬LDF‘T2002.4.8.«]Ž‘S’¢Added‘¸ÂstaticŽ‘*2ô«v‘ÿqÇariables–¸for“help“lines“and“curv¸ães:‘ ŽÏhelp‘‰ffŽ‘®c‘ÿ}'olorŽ‘7Á«,‘PÏhelp‘‰ffŽ–®dash‘‰ffŽ“p‘ÿ}'atternŽ‘TMë,Ž¡Ïdo‘‰ffŽ–®help‘‰ffŽ“linesŽ‘89—«.‘ÉThe–ŠVv‘ÿqÇariables“for“help“lines“(or“curvš¸ães)“are“part“of“ÂP®9athŽ‘º«'s“in˜terface“and“can“bGe“set“an˜y-Ž¡where–UUbš¸ãy“an˜y˜one.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«De ne‘UUÂclassŽ‘5¦P®9athŽ‘;­654“·i‘ÇŽ¡‘ +[¬LDF‘T2002.4.8.«]Ž‘S’¢Added‘¸ÂstaticŽ‘*2ô«v‘ÿqÇariables–¸for“help“lines“and“curv¸ães:‘ ŽÏhelp‘‰ffŽ‘®c‘ÿ}'olorŽ‘7Á«,‘PÏhelp‘‰ffŽ–®dash‘‰ffŽ“p‘ÿ}'atternŽ‘TMë,Ž¡Ïdo‘‰ffŽ–®help‘‰ffŽ“linesŽ‘89—«.‘ÉThe–ŠVv‘ÿqÇariables“for“help“lines“(or“curvš¸ães)“are“part“of“ÂP®9athŽ‘º«'s“in˜terface“and“can“bGe“set“an˜y-Ž¡where–UUbš¸ãy“an˜y˜one.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«De ne‘UUÂclassŽ‘5¦P®9athŽ‘;­654“·i‘ÇŽ¡‘ ÂclassŽ‘$àRP®9athŽ‘@Ç «:‘qÇÂprotectedŽ‘86´ShapQÇeŽ‘Zx·fŽ¡‘ -ÂprotectedŽ‘:o™«:‘Âb•QÇo“olŽ‘¡fÏline‘‰ffŽ‘®switchŽ‘ND'«;Ž¡‘Âb•QÇo“olŽ‘-¡hÏcycle‘‰ffŽ‘®switchŽ‘b¢«;Ž¡‘Âb•QÇo“olŽ‘-¡hÏon‘‰ffŽ›®fr–ÿ}'e“e‘‰ffŽ˜stor“eŽ‘eFZ«;Ž¡‘Âb•QÇo“olŽ‘-¡hÏdo‘‰ffŽ‘®outputŽ‘X—›«;‘±=·‘ÿý«LDF‘UU2002.09.18.‘qÇAdded.‘o·±=Ž¡‘ÂsignedŽ‘7oøshortŽ‘U:›Ï l‘‚Øl‘‰ffŽ–®dr‘ÿ}'aw‘‰ffŽ“valueŽ’“欫;‘±=·‘ÿý«V‘ÿ*ªariables–UUfor“dra¸ãwing“and“ lling.‘o·±=Ž¡‘ÂconstŽ‘2*¤ColorŽ‘QÏ—·Ž‘VϘÏdr–ÿ}'aw‘‰ffŽ‘®c“olorŽ’…»Ñ«;Ž¡‘ÂconstŽ‘2*¤ColorŽ‘QÏ—·Ž‘VÏ˜Ï l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorŽ‘|gí«;Ž¡‘ÂstringŽ‘5%OÏdashe‘ÿ}'dŽ‘SOð«;Ž¡‘ÂstringŽ‘5%OÏp‘ÿ}'enŽ‘E?«;Ž¡‘Âb•QÇo“olŽ‘-¡hÏarr‘ÿ}'owŽ‘H¸«;‘±=·‘ÿý«LDF›UU2003.01.15.–qÇAdded.“Needed˜for˜Ïdr–ÿ}'awarr“owŽ‘2H«(‘ª®).‘o·±=Ž¡‘Âv‘ÿ\ralarra®9yŽ‘=ZC·hÂrealŽ‘]Ù·i‘UUÏpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘WY¦«;‘±=·‘ÿý«LDF‘UU2002.09.18.‘qÇAdded.‘o·±=Ž¡‘Âv®9ectorŽ‘3ªJ·hÂP•®9oin“tŽ‘ï·Ž‘#ïži‘UUÏp‘ÿ}'ointsŽ‘yê«;Ž¡‘Âv®9ectorŽ‘3ªJ·hÂstringŽ‘Ïø·i‘UUÏc–ÿ}'onne“ctorsŽ‘2‰ƒ«;ŽŽŽŒ‹¶  Šn ý‘ì«182›ÂP–ÿ -«A“TH–ÕX­CLASS“DEFINITION’í·É3DLDFPRÃŽG˜·x«654Ž €n ý•@P‘ -ÂpublicŽ‘)=Ö«:‘ÂstaticŽ‘$HÙconstŽ‘Bs{ColorŽ‘bn·Ž‘goÏhelp‘‰ffŽ‘®c‘ÿ}'olorŽ’’Òã«;ޤ ‘ÂstaticŽ‘3HÛstringŽ‘Tn(Ïhelp‘‰ffŽ–®dash‘‰ffŽ“p‘ÿ}'atternŽ’ ©›«;Ž¡‘ÂstaticŽ‘3HÛb•QÇo“olŽ‘LêAÏdo‘‰ffŽ–®help‘‰ffŽ“linesŽ’…#Ø«;Ž©‘·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·iŽ¡‘ -g«;ŽŸ ­This–ÕXco‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +Âb•QÇo“olŽ‘#¡gP®9athŽ‘=2Ï«::‘Ïdo‘‰ffŽ–®help‘‰ffŽ“linesŽ‘<³«=‘ÇÏtrueŽ‘‹°«;ŽŸ ­This–ÕXcoNoš¸ãw– Xall“of“the“data“mem˜bGers“of“ÂclassŽ‘Ÿ¬P®9athŽ‘<;h«are“assigned“to“except“for“Ïon‘‰ffŽ›®fr–ÿ}'e“e‘‰ffŽ˜stor“eŽ‘;¯J«.Ž¡This–Ÿyhas“bšGecome“necessary“b˜ecause“of“c¸ãhanges“in“ÂSolidŽ‘T«::‘ÏoutputŽ‘D«(‘ª®),‘òwhere“temp˜orary“ÂP®9athsŽ‘&Y’«ha•¸ãv“e–Ÿyto“b˜eŽ¡created–UUin“order“to“sort“them.Ž¡‘ [¬LDF‘T2002.12.18.«]Ž‘XwMo•¸ãv“ed–`‘here.‘ 1With“the“DEC›`Scompiler“under“Compaq“T‘ÿ*ªru64“on“the“DEC˜Alpha“computer,Ž¡it›¬&w•¸ãork“ed˜to˜ha“v“e˜this˜follo“wing˜the˜constructors.‘9bWith˜the˜GNU–«û¬C‘€Ÿÿ®+‘ÿ+ŽŽ‘óF«compiler˜(GCC)“under˜GNU/Lin¸ãux˜onŽ¡the–ãInš¸ãtel“i686“computer,‘ùëit“didn't:‘8¥The“cop˜y“constructor“used“the“default“assignmen˜t“opGerator“instead“of“thisŽ¡function,‘Špresumably–óbGecause“this“function“wš¸ãasn't“kno˜wn“at“the“time“the“cop˜y“constructor“w˜as“compiled,Ž¡Ïalthough–säit“had“b–ÿ}'e“en›säde“clar“e“d˜pr“eviously‘â}«!‘f.UR•¸ãGENT:›2‰Mo“v“e˜assignmen“t˜op•Gerators˜for˜the˜other˜ÏclassesŽ‘$Ü#«b“eforeŽ¡the‘UUconstructors!Ž¡‘ -[¬LDF‘T2003.04.09.«]Ž‘Y;??‘qÇBUG–UUFIX:“No¸ãw“resizing“Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘WY¦«,“if“after“setting“it“toŽ¡±pŽ‘:Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘TQ«,‘{Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘X̱:ÏsizeŽ‘\«(‘ª¨)–Íô·“«0Ž‘Íõ.‘JïThis›ó prev•¸ãen“ts˜a˜Memory˜F‘ÿ*ªault˜error˜at˜run-time.‘JïIŽ¡don't–:%knoš¸ãw“wh˜y“it“should“bGe“necessary‘ÿ*ª,–?•though,“since–:%all“of“the“constructors“of“ÂP®9athŽ‘®«and“its“deriv˜ed“classesŽ¡resize‘UUÏpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘WY¦«;–UUat“least,“I“though¸ãt“they“did.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘ÇŽ¡‘ +[¬LDF‘T2003.04.09.«]Ž‘Y;??‘qÇBUG–UUFIX:“No¸ãw“resizing“Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘WY¦«,“if“after“setting“it“toŽ¡±pŽ‘:Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘TQ«,‘{Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘X̱:ÏsizeŽ‘\«(‘ª¨)–Íô·“«0Ž‘Íõ.‘JïThis›ó prev•¸ãen“ts˜a˜Memory˜F‘ÿ*ªault˜error˜at˜run-time.‘JïIŽ¡don't–:%knoš¸ãw“wh˜y“it“should“bGe“necessary‘ÿ*ª,–?•though,“since–:%all“of“the“constructors“of“ÂP®9athŽ‘®«and“its“deriv˜ed“classesŽ¡resize‘UUÏpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘WY¦«;–UUat“least,“I“though¸ãt“they“did.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘ÇŽ¡‘ ÂvirtualŽ‘/ÔP®9athŽ‘Kt«&Ž‘S;«ÂopQÇeratorŽ‘~Ò`«=Ž’†™~(ÂconstŽ‘*¢P®9athŽ‘:[«&Ž‘AØy±pŽ‘Fày«);Ž© ­See–´?also“sections“660,–ºÝ663,“665,“668,“670,“673,“675,“677,“680,“682,“684,“686,“688,“690,“692,“695,“697,“700,“702,“704,“706,“708,“713,ޤ -‘719,–áú721,“723,“725,“728,“730,“733,“735,“738,“740,“742,“747,“749,“751,“754,“756,“758,“762,“767,“769,“775,“777,“784,“786,“793,Ž¡‘795,–áú801,“803,“806,“808,“812,“814,“820,“823,“825,“829,“831,“834,“836,“839,“841,“845,“846,“848,“850,“852,“854,“856,“866,“868,Ž¡‘871,–ÕX872,“874,“876,“877,“878,“879,“881,“887,“889,“891,“893,“899,“905,“908,“912,“914,“917,“and“929.ަThis–ÕXco¬«;Ž¡‘Ïdr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘E³S«=‘DZpŽ‘Ï:Ïdr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘.ì9«;‘±=·‘éR«[¬LDF‘T2002.10.23.«]Ž‘SÚáÏdr–ÿ}'aw‘‰ffŽ‘®c“olorŽ’†Ä«and‘>ªÏ l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorŽ‘,©«pGoin¸ãt–>ªto“the“same“ÂColorŽŽ¡‘(«as‘UU±pŽ–]U:Ïdr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘2AŽ«and‘UU±pŽ“:Ï l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorŽ‘%˜U«.‘qÇNo–UUmemory“allošGcation“is“p˜erformed.‘o·±=Ž¡‘Ï l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorŽ‘<_o«=‘DZpŽ‘Ï:Ï l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorŽ‘%˜U«;Ž¡‘Ïdashe‘ÿ}'dŽ‘4ñ»«=‘DZpŽ‘Ï:Ïdashe‘ÿ}'dŽ‘*¡«;Ž¡‘Ïp‘ÿ}'enŽ‘&àÍ«=‘DZpŽ‘Ï:Ïp‘ÿ}'enŽ‘³«;Ž¡‘Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘jËk«=‘DZpŽ‘Ï:Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘TQ«;‘±=·‘ÿý«LDF–UU2002.09.18.‘qÇAdded“this“line.‘o·±=Ž¡‘ÂifŽ‘´ú«(Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘TQ±:ÏsizeŽ‘\«(‘ª¨)–Ç·“«0Ž‘Ç)‘±=·‘ÿý«LDF–UU2003.04.09.‘qÇAdded“this“conditional.‘o·±=Ž¡‘Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘rT±:Ïr‘ÿ}'esizeŽ‘i«(6Ž‘±;‘ª¨«0Ž‘ª©);Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂP•®9oin“tŽ‘ï·Ž‘#ïži‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûp‘‰ffŽ‘®iterŽ‘_ß”«=‘DZpŽ–Ï:Ïp‘ÿ}'ointsŽ›$•±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);‘ÿýÏp‘‰ffŽ‘®iterŽ‘!\–·6«=‘DZpŽ“:Ïp‘ÿ}'ointsŽ˜±:ÏendŽ‘ಫ(‘ª¨);‘ÿýÏp‘‰ffŽ‘®iterŽ‘~Ÿÿ®+‘ÿ+ŽŽ‘*Üž«)Ž¡‘Ïp‘ÿ}'ointsŽ‘9$˜±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÂP•®9oin“tŽ‘šL«::Ž‘#(ŠÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“p‘ÿ}'ointŽ‘kþ†«(·Ž‘Ïp‘‰ffŽ‘®iterŽ‘•‚«));Ž¡‘ÂforŽ‘&Q(«(Âv®9ectorŽ‘ªH·hÂstringŽ‘Ïø·i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûc‘‰ffŽ‘®iterŽ‘` «=‘ux±pŽ–}x:Ïc–ÿ}'onne“ctorsŽ›/4.±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);‘hÏc‘‰ffŽ‘®iterŽ‘!ð½·6«=‘ux±pŽ“:Ïc–ÿ}'onne“ctorsŽ˜±:ÏendŽ‘ಫ(‘ª¨);Ž¡‘2Ïc‘‰ffŽ‘®iterŽ‘K’­Ÿÿ®+‘ÿ+ŽŽ‘WYÍ«)‘·fŽ¡‘Ïc–ÿ}'onne“ctorsŽ‘M41±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(·Ž‘Ïc‘‰ffŽ‘®iterŽ‘©«);Ž¡‘·gŽ¡‘ÂreturnŽ‘7æ¼·Ž‘<æ½ÏthisŽ‘MÒs«;Ž¡‘ ·gŽ© ­See–´?also“sections“661,–ºÝ664,“666,“669,“671,“674,“676,“678,“681,“683,“685,“687,“689,“693,“696,“698,“701,“703,“705,“707,“709,“714,“720,ޤ -‘722,–áú724,“726,“729,“731,“734,“736,“739,“741,“743,“748,“750,“752,“755,“757,“759,“763,“764,“765,“766,“768,“770,“771,“776,“778,Ž¡‘785,–áú787,“794,“796,“802,“804,“807,“809,“813,“815,“821,“824,“826,“830,“832,“835,“837,“840,“842,“843,“844,“847,“849,“851,“853,Ž¡‘855,–áú857,“858,“859,“860,“861,“862,“863,“867,“869,“873,“875,“880,“882,“883,“884,“885,“886,“888,“890,“894,“895,“896,“897,“900,Ž¡‘906,–ÕX909,“910,“911,“913,“915,“918,“and“930.ަThis–ÕXco‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +‘722,–áú724,“726,“729,“731,“734,“736,“739,“741,“743,“748,“750,“752,“755,“757,“759,“763,“764,“765,“766,“768,“770,“771,“776,“778,Ž¡‘785,–áú787,“794,“796,“802,“804,“807,“809,“813,“815,“821,“824,“826,“830,“832,“835,“837,“840,“842,“843,“844,“847,“849,“851,“853,Ž¡‘855,–áú857,“858,“859,“860,“861,“862,“863,“867,“869,“873,“875,“880,“882,“883,“884,“885,“886,“889,“891,“893,“897,“898,“899,“900,Ž¡‘903,–ÕX909,“912,“913,“914,“916,“918,“921,“and“933.ަThis–ÕXco„`ÊŽŽ¦659.› üDiscard–ÕTpQÇoin®9ts“and“connectors.˜«This–UUis“useful“in“the“setting“functions.Ž¡·h–ª¨«Discard‘UUÏp‘ÿ}'ointsŽ‘!Ï?«and‘UUÏc–ÿ}'onne“ctorsŽ‘6ɇ­659“·i‘Çޤ ‘ +Í«=‘AoÝ""Ž–GÑ«,‘±Ïp‘ÿ}'enŽ‘ 9«=‘AoÝ""Ž“«,‘±and‘ž½Ïarr‘ÿ}'owŽ‘!@|«=‘AoÏfalseŽ‘p«in–ž½all“constructorsŽ¡and–¼Fsetting“functions.‘¦™This“ xed“a“problem“I‘¼+wš¸ãas“ha˜ving“with“ÂIcosahedronŽ‘@•«:‘?©One“of“the“ÂRegu½‰™šs4Ž‘ÔwP®9olygonsŽŽ¡«w•¸ãas›UUdra“wn˜with˜an˜arro“w.ޤŸüÈ„`ÕÁGŽŽ¦Â659.› 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·fŽ¡‘Ïline‘‰ffŽ‘®switchŽ‘FiÛ«=‘ÇÏtrueŽ‘‹°«;Ž¡‘Ïcycle‘‰ffŽ‘®switchŽ‘KÇ´«=‘ÇÏfalseŽ‘v\«;Ž¡‘Ïdo‘‰ffŽ‘®outputŽ‘A½M«=‘ÇÏtrueŽ‘‹°«;‘±=·‘ÿý«LDF–UU2002.09.18.‘qÇAdded“this“line.‘o·±=Ž¡‘Ï l‘‚Øl‘‰ffŽ–®dr‘ÿ}'aw‘‰ffŽ“valueŽ‘Us+«=‘Ç0Ž‘Ç;Ž¡‘Ïdr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘E³S«=‘Ç0Ž‘Ç;Ž¡‘Ï l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorŽ‘<_o«=‘Ç0Ž‘Ç;Ž¡‘Ïdashe‘ÿ}'dŽ‘4ñ»«=‘ÇÝ""Ž‘ Íz«;‘±=·‘ÿý«LDF–UU2003.04.06.‘qÇAdded“these“three“lines.‘o·±=Ž¡‘Ïp‘ÿ}'enŽ‘&àÍ«=‘ÇÝ""Ž‘ Íz«;Ž¡‘Ïarr‘ÿ}'owŽ‘1'j«=‘ÇÏfalseŽ‘v\«;Ž¡‘·h–ª¨«Discard‘UUÏp‘ÿ}'ointsŽ‘!Ï?«and‘UUÏc–ÿ}'onne“ctorsŽ‘6ɇ­659“·iŽ¡‘Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘jËk«=‘Ç0Ž‘Ç;‘±=·‘ÿý«LDF–UU2002.09.18.‘qÇAdded“this“line.‘o·±=Ž¡‘Ïp‘ÿ}'ointsŽ‘/$—±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÂP•®9oin“tŽ‘šL«::Ž‘#(ŠÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“p‘ÿ}'ointŽ‘kþ†«(Ïp0Ž‘ À«));Ž¡‘Ïp‘ÿ}'ointsŽ‘/$—±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÂP•®9oin“tŽ‘šL«::Ž‘#(ŠÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“p‘ÿ}'ointŽ‘kþ†«(Ïp1Ž‘ À«));Ž¡‘Ïc–ÿ}'onne“ctorsŽ‘C40±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(Ý"--"Ž‘†\«);Ž¡‘Ïline‘‰ffŽ‘®switchŽ‘FiÛ«=‘ÇÏtrueŽ‘‹°«;Ž¡‘ ·gŽ©Â667.› üP•®9oin“ts–ñ|and“one“t®9ypQÇe“of“connector.˜«This–+ constructor“takš¸ães“a“v‘ÿqÇariable“n˜um˜bGer“of“ÂP•®9oin“tŽ‘%ðZ·ŽŽ¡«argumenš¸ãts,‘´'but–mýonly“allo˜ws“one“t˜ypGe“of“connector.‘»ÀThe“argumen˜t“list“m˜ust“end“with“0.‘»ÀIf“the“order“ofŽ¡the–?]named“argumenš¸ãts“is“rev˜ersed,‘yßthe“compiler“can't“resolv˜e“certain“calls“to“ÂP®9athŽ‘ÐÁ«(‘ª®).‘/ßIt“couldn't“resolv˜eŽ¡bGet•¸ãw“een‘ÚÂP®9athŽ‘’>«(Âb•QÇo“olŽ‘LëÏcycleŽ‘0Æ ±;‘ª¨ÂstringŽ‘z Ïc–ÿ}'onne“ctorŽ‘R/¤±:–ª¨:“:Ž‘_„ó«)–Úand“ÂP®9athŽ‘ “«(“ÂP•®9oin“tŽ‘#›ü·Ž‘(›ýÏ rst‘‰ffŽ–®p‘ÿ}'oint‘‰ffŽ“ptrŽ‘jÙ>±:–ª¨:“:Ž‘|/g«).‘tVI‘®don't“kno¸ãwŽ¡whš¸ãy–UUit“should“ha˜v˜e“had“trouble,“though,“since“pGoin˜ters“to“ÂP•®9oin“tsŽ‘&Î.«are“not“Âb•QÇo“olsŽ‘*¢«.Ž¡‘ [¬LDF‘T2002.4.6.«]Ž‘O5âProbably–Âøit“couldn't“distinguish“bšGet•¸ãw“een–Âøa“p˜oin¸ãter“and“an“Âin®9tޑՒ«on“the“one“hand“and“a“Âb•QÇo“olŽŽ¡«and–UUan“Âin®9tŽ‘úL«on“the“other.‘qÇI“hopGe“that“Âb•QÇo“olsŽ‘!÷«are“more“ecienš¸ãtly“implemen˜ted“than“as“ÏintsŽ‘Ãã«,“though!Ž¡‘ [¬LDF‘T2002.10.29.«]Ž‘Y.®??‘åI‘{¾don't–{Èknoš¸ãw“wh˜y“Ècweave“«needs“instructions“to“put“thin“spaces“after“the“\Âb•QÇo“olŽ‘L«"“inŽ¡the–UUdeclaration“and“de nition“bšGelo•¸ãw.‘qÇMa“yb˜e–UUit's“b˜ecause“of“the“\±:–ª¨:“:Ž‘ ª§«".ަÂ668.‘ üConstructor.ŽŸ·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ -ÂP®9athŽ‘"‘e«(ÂstringŽ‘!%MÏc–ÿ}'onne“ctorŽ‘L„'±;‘ª¨Âb•QÇo“olŽ‘LÏcycleŽ‘8oï±:–ª¨:“:Ž‘EÅ>«);ŽŽŽŒ‹» E5 Šn ý‘ì·x«669›­3DLDFPR•ÃŽG’BzCONSTR“UCTOR˜«187Ž €n ý•@PÂ669.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ +ÂP®9athŽ‘"‘e«(ÂstringŽ‘!%MÏc–ÿ}'onne“ctorŽ‘L„'±;‘ª¨Âb•QÇo“olŽ‘LÏcycleŽ‘8oï±:–ª¨:“:Ž‘EÅ>«);ŽŽŽŒ‹½ EJ Šn ý‘ì·x«669›­3DLDFPR•ÃŽG’BzCONSTR“UCTOR˜«189Ž €n ý•@PÂ669.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ ÂP®9athŽ‘#‘i«::‘ÂP®9athŽ‘‘h«(ÂstringŽ‘!%MÏc–ÿ}'onne“ctorŽ‘L„'±;‘ª¨Âb•QÇo“olŽ‘LÏcycleŽ‘8oï±:–ª¨:“:Ž‘EÅ>«)Ž¡‘ ·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝPath()È Ý(coŽ‘kÆÜnnector,È Ýcycle,È Ý...)Ž’ÔÆ .\n"Ž’í·‘ÇÏ ushŽ‘€«;Ž¡‘Ïon‘‰ffŽ›®fr–ÿ}'e“e‘‰ffŽ˜stor“eŽ‘Nl «=‘ÇÏfalseŽ‘v\«;Ž¡‘Ïline‘‰ffŽ‘®switchŽ‘FiÛ«=‘ÇÏfalseŽ‘v\«;Ž¡‘Ïcycle‘‰ffŽ‘®switchŽ‘KÇ´«=‘ÇÏcycleŽ‘@M«;Ž¡‘Ïc–ÿ}'onne“ctorsŽ‘C40±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(Ïc–ÿ}'onne“ctorŽ‘+^Ú«);Ž¡‘Ïdo‘‰ffŽ‘®outputŽ‘A½M«=‘ÇÏtrueŽ‘‹°«;‘±=·‘ÿý«LDF–UU2002.09.18.‘qÇAdded“this“line.‘o·±=Ž¡‘Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘hS±:Ïr‘ÿ}'esizeŽ‘i«(6Ž‘±;‘ª¨«0Ž‘ª©);‘±=·‘ÿý«LDF–UU2002.09.18.‘qÇAdded“this“line.‘o·±=Ž¡‘Ï l‘‚Øl‘‰ffŽ–®dr‘ÿ}'aw‘‰ffŽ“valueŽ‘Us+«=‘Ç0Ž‘Ç;Ž¡‘Ïdr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘E³S«=‘Ç0Ž‘Ç;Ž¡‘Ï l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorŽ‘<_o«=‘Ç0Ž‘Ç;Ž¡‘Ïdashe‘ÿ}'dŽ‘4ñ»«=‘ÇÝ""Ž‘ Íz«;‘±=·‘ÿý«LDF–UU2003.04.06.‘qÇAdded“these“three“lines.‘o·±=Ž¡‘Ïp‘ÿ}'enŽ‘&àÍ«=‘ÇÝ""Ž‘ Íz«;Ž¡‘Ïarr‘ÿ}'owŽ‘1'j«=‘ÇÏfalseŽ‘v\«;ަ‘Âv‘ÿ\rau½‰™šs4Ž‘ÔwlistŽ‘7'ýÏapŽ‘B…O«;‘±=·‘ÿý«F‘ÿ*ªor–UUthe“v‘ÿqÇariable“length“argumen¸ãt“list.‘o·±=ަ‘Ïva‘‰ffŽ‘®startŽ‘6éi«(ÏapŽ‘ ]R±;‘ª¨ÏcycleŽ‘#Ý«);ަ‘ÂP•®9oin“tŽ‘2Ž‘7ï Ïar‘ÿ}'g‘‰ffŽ‘®ptrŽ‘WE«;ަ‘ÂwhileŽ‘2C.«((Ïar‘ÿ}'g‘‰ffŽ‘®ptrŽ‘"•«=‘ÇÏva‘‰ffŽ‘®ar‘ÿ}'gŽ‘û,«(ÏapŽ‘ ]R±;‘ª¨ÂP•®9oin“tŽ‘ šE·Ž‘%šF«))–Ç·6«=“Âstaticu½‰™šs4Ž‘ÔwcastŽ‘7Dº·hÂP•®9oin“tŽ‘ï·Ž‘#ïži«(0Ž‘))Ž¡‘Ïp‘ÿ}'ointsŽ‘9$˜±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÂP•®9oin“tŽ‘šL«::Ž‘#(ŠÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“p‘ÿ}'ointŽ‘kþ†«(Ïar‘ÿ}'g‘‰ffŽ‘®ptrŽ‘U}«));Ž¡‘Ïva‘‰ffŽ‘®endŽ‘2DΫ(ÏapŽ‘ ]R«);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝPath()È Ý(conŽ‘kÆÜnector,È Ýcycle,È Ý...).Ž’ÔÆ \n"Ž’çÔ·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘4‘g«;Ž¡‘ ·gŽŸÂ670.‘ üSetting‘ÕTfunction.ަ·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ -Âv®9oidŽ‘"ýÙÏsetŽ‘0v]«(ÂstringŽ‘!%MÏc–ÿ}'onne“ctorŽ‘L„'±;‘ª¨Âb•QÇo“olŽ‘LÏcycleŽ‘8oï±:–ª¨:“:Ž‘EÅ>«);ŽŽŽŒ‹¼ QÛ Šn ý‘ì«188–­SETTING‘ÕXFUNCTION’ +Âv®9oidŽ‘"ýÙÏsetŽ‘0v]«(ÂstringŽ‘!%MÏc–ÿ}'onne“ctorŽ‘L„'±;‘ª¨Âb•QÇo“olŽ‘LÏcycleŽ‘8oï±:–ª¨:“:Ž‘EÅ>«);ŽŽŽŒ‹¾ Qð Šn ý‘ì«190–­SETTING‘ÕXFUNCTION’ u>3DLDFPRÃŽG“·x«671Ž €n ý•@PÂ671.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙP®9athŽ‘«)Ž¡‘ ·fŽ¡‘Ïon‘‰ffŽ›®fr–ÿ}'e“e‘‰ffŽ˜stor“eŽ‘Nl «=‘ÇÏfalseŽ‘v\«;Ž¡‘Ïline‘‰ffŽ‘®switchŽ‘FiÛ«=‘ÇÏfalseŽ‘v\«;Ž¡‘Ïcycle‘‰ffŽ‘®switchŽ‘KÇ´«=‘ÇÏcycleŽ‘@M«;Ž¡‘Ïdo‘‰ffŽ‘®outputŽ‘A½M«=‘ÇÏtrueŽ‘‹°«;‘±=·‘ÿý«LDF–UU2002.09.18.‘qÇAdded“this“line.‘o·±=Ž¡‘·h–ª¨«Discard‘UUÏp‘ÿ}'ointsŽ‘!Ï?«and‘UUÏc–ÿ}'onne“ctorsŽ‘6ɇ­659“·iŽ¡‘Ï l‘‚Øl‘‰ffŽ–®dr‘ÿ}'aw‘‰ffŽ“valueŽ‘Us+«=‘Ç0Ž‘Ç;Ž¡‘Ïdr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘E³S«=‘Ç0Ž‘Ç;Ž¡‘Ï l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorŽ‘<_o«=‘Ç0Ž‘Ç;Ž¡‘Ïdashe‘ÿ}'dŽ‘4ñ»«=‘ÇÝ""Ž‘ Íz«;‘±=·‘ÿý«LDF–UU2003.04.06.‘qÇAdded“these“three“lines.‘o·±=Ž¡‘Ïp‘ÿ}'enŽ‘&àÍ«=‘ÇÝ""Ž‘ Íz«;Ž¡‘Ïarr‘ÿ}'owŽ‘1'j«=‘ÇÏfalseŽ‘v\«;Ž¡‘Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘jËk«=‘Ç0Ž‘Ç;‘±=·‘ÿý«LDF–UU2002.09.18.‘qÇAdded“this“line.‘o·±=Ž¡‘Ïc–ÿ}'onne“ctorsŽ‘C40±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(Ïc–ÿ}'onne“ctorŽ‘+^Ú«);ަ‘Âv‘ÿ\rau½‰™šs4Ž‘ÔwlistŽ‘7'ýÏapŽ‘B…O«;‘±=·‘ÿý«F‘ÿ*ªor–UUthe“v‘ÿqÇariable“length“argumen¸ãt“list.‘o·±=ަ‘Ïva‘‰ffŽ‘®startŽ‘6éi«(ÏapŽ‘ ]R±;‘ª¨ÏcycleŽ‘#Ý«);ަ‘ÂP•®9oin“tŽ‘2Ž‘7ï Ïar‘ÿ}'g‘‰ffŽ‘®ptrŽ‘WE«;ަ‘ÂwhileŽ‘2C.«((Ïar‘ÿ}'g‘‰ffŽ‘®ptrŽ‘"•«=‘ÇÏva‘‰ffŽ‘®ar‘ÿ}'gŽ‘û,«(ÏapŽ‘ ]R±;‘ª¨ÂP•®9oin“tŽ‘ šE·Ž‘%šF«))–Ç·6«=“Âstaticu½‰™šs4Ž‘ÔwcastŽ‘7Dº·hÂP•®9oin“tŽ‘ï·Ž‘#ïži«(0Ž‘))Ž¡‘Ïp‘ÿ}'ointsŽ‘9$˜±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÂP•®9oin“tŽ‘šL«::Ž‘#(ŠÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“p‘ÿ}'ointŽ‘kþ†«(Ïar‘ÿ}'g‘‰ffŽ‘®ptrŽ‘U}«));Ž¡‘Ïva‘‰ffŽ‘®endŽ‘2DΫ(ÏapŽ‘ ]R«);Ž¡‘ ·gŽŸÂ672.‘ üV‘ÿ -«ariable›n•®9um“bQÇer˜of˜P“oin“ts˜and˜connectors.‘ ü«These–L¡functions“takš¸ães“a“v‘ÿqÇariable“n˜um˜bGer“ofŽ¡alternating‘«ZÂP•®9oin“tŽ‘"ðü·Ž‘+œW«and–«Zconnector“argumenš¸ãts,‘ÀÛstarting“with“a“ÂP•®9oin“tŽ‘"ðü·Ž‘'ðý«.‘sÖThe“argumen˜t“list“m˜ust“end“withŽ¡0.‘^WW‘ÿ*ªe–don't“need“an“argumen¸ãt“for“whether“it's“a“cycle“or“not,›&¯bGecause“if“it“is,˜it“will“ha•¸ãv“e–a“connector“at“theŽ¡end.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.10.29.«]Ž‘Y;BUG–UUFIX:“No“longer“pushing“Ï rst‘‰ffŽ–®p‘ÿ}'oint‘‰ffŽ“ptrŽ‘C„`ÊŽŽŸ673.‘ üConstructor.ަ·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ -ÂP®9athŽ‘%溫(‘UUÂP•®9oin“tŽ‘"Dò·Ž‘'DóÏ rst‘‰ffŽ–®p‘ÿ}'oint‘‰ffŽ“ptrŽ‘eZ±:–ª¨:“:Ž‘v+þ«)‘UU;ŽŽŽŒ‹½ \R Šn ý‘ì·x«674›­3DLDFPR•ÃŽG’BzCONSTR“UCTOR˜«189Ž €n ý•@PÂ674.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ +«ariable›n•®9um“bQÇer˜of˜P“oin“ts˜and˜connectors.‘ ü«These–L¡functions“takš¸ães“a“v‘ÿqÇariable“n˜um˜bGer“ofŽ¡alternating‘«ZÂP•®9oin“tŽ‘"ðü·Ž‘+œW«and–«Zconnector“argumenš¸ãts,‘ÀÛstarting“with“a“ÂP•®9oin“tŽ‘"ðü·Ž‘'ðý«.‘sÖThe“argumen˜t“list“m˜ust“end“withŽ¡0.‘^WW‘ÿ*ªe–don't“need“an“argumen¸ãt“for“whether“it's“a“cycle“or“not,›&¯bGecause“if“it“is,˜it“will“ha•¸ãv“e–a“connector“at“theŽ¡end.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.10.29.«]Ž‘Y;BUG–UUFIX:“No“longer“pushing“Ï rst‘‰ffŽ–®p‘ÿ}'oint‘‰ffŽ“ptrŽ‘Cze«=‘ÇÏva‘‰ffŽ‘®ar‘ÿ}'gŽ‘û,«(ÏapŽ‘ ]R±;‘ª¨Âc®9harŽ‘ñ·Ž‘ ò«))–Ç·6«=“Âstaticu½‰™šs4Ž‘ÔwcastŽ‘7Dº·hÂc®9harŽ‘jI·Ž‘jJi«(0Ž‘))‘·fŽ¡‘2Ïc–ÿ}'onne“ctorsŽ‘a43±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«((Ïc–ÿ}'onne“ctor‘‰ffŽ‘®stringŽ‘J”«=‘ÇÏc–ÿ}'onne“ctor‘‰ffŽ‘®ptrŽ‘>ze«));Ž¡‘2ÂifŽ‘=´ý«((Ïp‘ÿ}'oint‘‰ffŽ‘®ptrŽ‘*jÌ«=‘ÇÏva‘‰ffŽ‘®ar‘ÿ}'gŽ‘û,«(ÏapŽ‘ ]R±;‘ª¨ÂP•®9oin“tŽ‘ šE·Ž‘%šF«))–Ç·“Âstaticu½‰™šs4Ž‘ÔwcastŽ‘7Dº·hÂP•®9oin“tŽ‘ï·Ž‘#ïži«(0Ž‘))‘·fŽ¡‘<Ïcycle‘‰ffŽ‘®switchŽ‘sǸ«=‘ÇÏtrueŽ‘‹°«;Ž¡‘<ÂbreakŽ‘X¡j«;Ž¡‘2·gŽ¡‘2Ïp‘ÿ}'ointsŽ‘M$š±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÂP•®9oin“tŽ‘šL«::Ž‘#(ŠÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“p‘ÿ}'ointŽ‘kþ†«(Ïp‘ÿ}'oint‘‰ffŽ‘®ptrŽ‘'£´«));Ž¡‘(·gŽ¡‘(Ïva‘‰ffŽ‘®endŽ‘FDЫ(ÏapŽ‘ ]R«);Ž¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝPath()È Ý(PoiŽ‘kÆÜnt*È Ý...).\n"Ž’®8·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽŸÂ675.‘ üSetting‘ÕTfunction.ަ·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ -Âv®9oidŽ‘"ýÙÏsetŽ‘3˲«(‘UUÂP•®9oin“tŽ‘"Dò·Ž‘'DóÏ rst‘‰ffŽ–®p‘ÿ}'oint‘‰ffŽ“ptrŽ‘eZ±:–ª¨:“:Ž‘v+þ«)‘UU;ŽŽŽŒ‹¾ hV Šn ý‘ì«190–­SETTING‘ÕXFUNCTION’ +Âv®9oidŽ‘"ýÙÏsetŽ‘3˲«(‘UUÂP•®9oin“tŽ‘"Dò·Ž‘'DóÏ rst‘‰ffŽ–®p‘ÿ}'oint‘‰ffŽ“ptrŽ‘eZ±:–ª¨:“:Ž‘v+þ«)‘UU;ŽŽŽŒ‹À hA Šn ý‘ì«192–­SETTING‘ÕXFUNCTION’ u>3DLDFPRÃŽG“·x«676Ž €n ý•@PÂ676.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ -Âv®9oidŽ‘"ýÙP®9athŽ‘ze«=‘ÇÏva‘‰ffŽ‘®ar‘ÿ}'gŽ‘û,«(ÏapŽ‘ ]R±;‘ª¨Âc®9harŽ‘ñ·Ž‘ ò«))–Ç·6«=“(Âc®9harŽ‘jI·Ž‘jJ«)‘UU0Ž‘UV)‘·fŽ¡‘2Ïc–ÿ}'onne“ctorsŽ‘a43±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«((Ïc–ÿ}'onne“ctor‘‰ffŽ‘®stringŽ‘J”«=‘ÇÏc–ÿ}'onne“ctor‘‰ffŽ‘®ptrŽ‘>ze«));Ž¡‘2ÂifŽ‘=´ý«((Ïp‘ÿ}'oint‘‰ffŽ‘®ptrŽ‘*jÌ«=‘ÇÏva‘‰ffŽ‘®ar‘ÿ}'gŽ‘û,«(ÏapŽ‘ ]R±;‘ª¨ÂP•®9oin“tŽ‘ šE·Ž‘%šF«))–Ç·“Âstaticu½‰™šs4Ž‘ÔwcastŽ‘7Dº·hÂP•®9oin“tŽ‘ï·Ž‘#ïži«(0Ž‘))‘·fŽ¡‘<Ïcycle‘‰ffŽ‘®switchŽ‘sǸ«=‘ÇÏtrueŽ‘‹°«;Ž¡‘<ÂbreakŽ‘X¡j«;Ž¡‘2·gŽ¡‘2Ïp‘ÿ}'ointsŽ‘M$š±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÂP•®9oin“tŽ‘šL«::Ž‘#(ŠÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“p‘ÿ}'ointŽ‘kþ†«(Ïp‘ÿ}'oint‘‰ffŽ‘®ptrŽ‘'£´«));Ž¡‘(·gŽ¡‘(Ïva‘‰ffŽ‘®endŽ‘FDЫ(ÏapŽ‘ ]R«);Ž¡‘·gŽŸÂ677.– üCop®9y‘…×constructor.“«[¬LDF‘T2003.04.06.«]Ž‘[!³??–>>!!“BUG:–îÒGot“a“memory“fault“when“I‘îªtried“to“use“thisŽ¡function.›ƒHa•¸ãv“en't–[tested“it“y¸ãet.˜It“w•¸ãork“ed–[to“use“the“default“constructor“and“then“the“assignmen¸ãt“opGerator.Ž¡Maš¸ãybGe–UUit's“not“k˜osher“to“use“\·Ž‘ÏthisŽ‘²Ï«=‘DZpŽ‘Ï«"“in“a“cop˜y“constructor.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +Âv®9oidŽ‘"ýÙP®9athŽ‘ze«=‘ÇÏva‘‰ffŽ‘®ar‘ÿ}'gŽ‘û,«(ÏapŽ‘ ]R±;‘ª¨Âc®9harŽ‘ñ·Ž‘ ò«))–Ç·6«=“(Âc®9harŽ‘jI·Ž‘jJ«)‘UU0Ž‘UV)‘·fŽ¡‘2Ïc–ÿ}'onne“ctorsŽ‘a43±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«((Ïc–ÿ}'onne“ctor‘‰ffŽ‘®stringŽ‘J”«=‘ÇÏc–ÿ}'onne“ctor‘‰ffŽ‘®ptrŽ‘>ze«));Ž¡‘2ÂifŽ‘=´ý«((Ïp‘ÿ}'oint‘‰ffŽ‘®ptrŽ‘*jÌ«=‘ÇÏva‘‰ffŽ‘®ar‘ÿ}'gŽ‘û,«(ÏapŽ‘ ]R±;‘ª¨ÂP•®9oin“tŽ‘ šE·Ž‘%šF«))–Ç·“Âstaticu½‰™šs4Ž‘ÔwcastŽ‘7Dº·hÂP•®9oin“tŽ‘ï·Ž‘#ïži«(0Ž‘))‘·fŽ¡‘<Ïcycle‘‰ffŽ‘®switchŽ‘sǸ«=‘ÇÏtrueŽ‘‹°«;Ž¡‘<ÂbreakŽ‘X¡j«;Ž¡‘2·gŽ¡‘2Ïp‘ÿ}'ointsŽ‘M$š±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÂP•®9oin“tŽ‘šL«::Ž‘#(ŠÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“p‘ÿ}'ointŽ‘kþ†«(Ïp‘ÿ}'oint‘‰ffŽ‘®ptrŽ‘'£´«));Ž¡‘(·gŽ¡‘(Ïva‘‰ffŽ‘®endŽ‘FDЫ(ÏapŽ‘ ]R«);Ž¡‘·gŽŸÂ677.– üCop®9y‘…×constructor.“«[¬LDF‘T2003.04.06.«]Ž‘[!³??–>>!!“BUG:–îÒGot“a“memory“fault“when“I‘îªtried“to“use“thisŽ¡function.›ƒHa•¸ãv“en't–[tested“it“y¸ãet.˜It“w•¸ãork“ed–[to“use“the“default“constructor“and“then“the“assignmen¸ãt“opGerator.Ž¡Maš¸ãybGe–UUit's“not“k˜osher“to“use“\·Ž‘ÏthisŽ‘²Ï«=‘DZpŽ‘Ï«"“in“a“cop˜y“constructor.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ 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Âv®9oidŽ‘"ýÙP®9athŽ‘’ˆ«=‘Ç0Ž–Ç±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±zŽ‘>f®«=‘Ç0Ž“);ŽŽŽŒ‹Æ Æ? Šn ý‘ì«198‘­RšÃŽOT–ÿJªA“TION–ÕXAR˜OUND“THE“MAIN“AXES’Â7v3DLDFPR˜G‘·x«714Ž €n ý•@PÂ714.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ +«ransformŽ‘gV¦Ïr‘ÿ}'otateŽ’Åä«(ÂconstŽ‘*¢realŽ‘4ÝбxŽ‘:”ì;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±yŽ‘>’ˆ«=‘Ç0Ž–Ç±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±zŽ‘>f®«=‘Ç0Ž“);ŽŽŽŒ‹È Å' Šn ý‘ì«200‘­RšÃŽOT–ÿJªA“TION–ÕXAR˜OUND“THE“MAIN“AXES’Â7v3DLDFPR˜G‘·x«714Ž €n ý•@PÂ714.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ ÂT‘ÿ «ransformŽ‘AÈÓP®9athŽ‘[Z;«::‘Ïr‘ÿ}'otateŽ‘oB«(ÂconstŽ‘*¢realŽ‘4ÝбxŽ‘:”ì;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±yŽ‘;Ëp;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±zŽ‘;Ÿ–«)Ž¡‘ ·fŽ¡‘ÂT‘ÿ «ransformŽ‘KÈÔ±tŽ‘OeF«;ަ‘±tŽ‘œt:Ïr‘ÿ}'otateŽ‘o>«(±xŽ‘·;‘ª¨yŽ‘í ;‘ª¨zŽ‘ÁÆ«);Ž¡‘ÂreturnŽ‘7æ¼·Ž‘<æ½ÏthisŽ‘P™‹·«=ŽŽ‘`'±tŽ‘cÄ4«;Ž¡‘ ·gޤÂ715.‘ üRotatation–ÕTaround“an“arbitrary“axis.Ž¡716.– üT‘ÿ -«ransform‘í‘v®9ersion.“«Declared–' in“Ètransfor.web«.‘ è¨Must“bšGe“de ned“here,‘œ2b˜ecause“ÂP®9athŽ‘"फis“anޤ incomplete–UUt¸ãypGe“there.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +«ransform‘í‘v®9ersion.“«Declared–' in“Ètransfor.web«.‘ è¨Must“bšGe“de ned“here,‘œ2b˜ecause“ÂP®9athŽ‘"फis“anޤ incomplete–UUt¸ãypGe“there.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.05.02.«]Ž‘YËSChanged–mname“of“this“function“from“Ïr–ÿ}'otate‘‰ffŽ‘®ar“oundŽ‘@„ü«(›ª®)“to“Ïr‘ÿ}'otateŽ‘‡««(˜).‘»This“function“no¸ãwŽ¡o•¸ãv“erloads‘UUÏr‘ÿ}'otateޑē«(‘ª®)–UUwith“three“ÂrealŽ‘ƒ«argumen¸ãts.Ž¡‘ -[¬LDF‘T2003.07.06.«]Ž‘Y;Changed,–UUso“that“Ïis‘‰ffŽ‘®line‘ÿ}'arŽ‘(jÒ«(›ª®)“is“used,“instead“of“Ïget‘‰ffŽ–®line‘‰ffŽ“switchŽ‘C+Ò«(˜).ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«De ne‘UUÂT‘ÿ +[¬LDF‘T2003.07.06.«]Ž‘Y;Changed,–UUso“that“Ïis‘‰ffŽ‘®line‘ÿ}'arŽ‘(jÒ«(›ª®)“is“used,“instead“of“Ïget‘‰ffŽ–®line‘‰ffŽ“switchŽ‘C+Ò«(˜).ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«De ne‘UUÂT‘ÿ «ransformŽ‘;'«functions‘@­125“·i‘Ç«+·Ž¡‘ ÂT‘ÿ «ransformŽ‘AÈÓT‘ÿ «ransformŽ‘w«(±pŽ‘:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(0Ž‘)±;‘ª¨pŽ‘²¨:Ïget‘‰ffŽ–®last‘‰ffŽ“p‘ÿ}'ointŽ‘:$>«(–ª¨)±;“ÏangleŽ‘jû«);Ž¡‘ÂreturnŽ‘7漫(·Ž‘ÏthisŽ‘²Ï·«=ŽŽ‘(A±tŽ‘+Ýx«);Ž¡‘ -·gŽŽŽŒ‹Ç Ï¥ Šn ý‘ì·x«717–­3DLDFPRÃŽG’èPÂPOINT‘ÕX­VERSION“«199Ž €n ý•@PÂ717.› üP•®9oin“t‘‘lv“ersion.˜«Declared–øäin“Èpoints.web«.‘\uMust“bšGe“de ned“here,‘!Èb˜ecause“ÂP®9athŽ‘ ƒ,«is“an“incompleteޤ t¸ãypGe‘UUthere.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.05.02.«]Ž‘YËSChanged–mname“of“this“function“from“Ïr–ÿ}'otate‘‰ffŽ‘®ar“oundŽ‘@„ü«(›ª®)“to“Ïr‘ÿ}'otateŽ‘‡««(˜).‘»This“function“no¸ãwŽ¡o•¸ãv“erloads‘UUÏr‘ÿ}'otateޑē«(‘ª®)–UUwith“three“ÂrealŽ‘ƒ«argumen¸ãts.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ +·gŽŽŽŒ‹É Îb Šn ý‘ì·x«717–­3DLDFPRÃŽG’èPÂPOINT‘ÕX­VERSION“«201Ž €n ý•@PÂ717.› üP•®9oin“t‘‘lv“ersion.˜«Declared–øäin“Èpoints.web«.‘\uMust“bšGe“de ned“here,‘!Èb˜ecause“ÂP®9athŽ‘ ƒ,«is“an“incompleteޤ t¸ãypGe‘UUthere.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.05.02.«]Ž‘YËSChanged–mname“of“this“function“from“Ïr–ÿ}'otate‘‰ffŽ‘®ar“oundŽ‘@„ü«(›ª®)“to“Ïr‘ÿ}'otateŽ‘‡««(˜).‘»This“function“no¸ãwŽ¡o•¸ãv“erloads‘UUÏr‘ÿ}'otateޑē«(‘ª®)–UUwith“three“ÂrealŽ‘ƒ«argumen¸ãts.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ ÂT‘ÿ «ransformŽ‘AÈÓP•®9oin“tŽ‘^c«::‘Ïr‘ÿ}'otateŽ‘oB«(ÂconstŽ‘*¢P®9athŽ‘:[«&Ž‘AØy±pŽ‘Fày;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏangleŽ‘NHË«)Ž¡‘ ·fŽ¡‘ÂifŽ‘´ú«(·:±pŽ‘:Ïget‘‰ffŽ–®line‘‰ffŽ“switchŽ‘?Ö}«(‘ª¨))‘·fŽ¡‘Ïc‘ÿ}'errŽ‘8(¢·‘rùÝ"ERROR!È ÝInÈ ÝPoint::roŽ‘pr½tate(Path,È Ýreal).\n"Ž’ákâ·Ž¡‘2Ý"PathÈ ÝisÈ ÝnotÈ ÝaÈ Ýline.Ž’šÿÉÈ ÝReturningÈ ÝINVALID_Ž’ÿTRANSFORM.\n\n"Ž’SEÈ«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_TRANSFORMŽ’›¬ò«;Ž¡‘·gŽ©‘ÂP•®9oin“tŽ‘2ïŸÏpt0Ž‘Eò«=‘DZpŽ‘Ï:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(0Ž‘);Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏpt1Ž‘Eò«=‘DZpŽ‘Ï:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(1Ž‘);ަ‘ÂreturnŽ‘7æ¼Ïr‘ÿ}'otateŽ‘RUú«(Ïpt0Ž‘i;±;‘ª¨Ïpt1Ž‘ã±;‘ª¨ÏangleŽ‘jû«);Ž¡‘ -·gޤÂ718.‘ üP•®9ath‘ÕTv“ersions.Ž¡719.‘ üP•®9oin“t‘ÕTargumen“ts.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ +·gޤÂ718.‘ üP•®9ath‘ÕTv“ersions.Ž¡719.‘ üP•®9oin“t‘ÕTargumen“ts.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¤ ‘ «[¬LDF‘T2002.4.7.«]Ž‘OÈ?Added–UUdefault“v‘ÿqÇalue“for“ÏangleŽ‘jý·‘Ç«180.Ž¡‘ -[¬LDF‘T2003.05.02.«]Ž‘YËSChanged–mname“of“this“function“from“Ïr–ÿ}'otate‘‰ffŽ‘®ar“oundŽ‘@„ü«(›ª®)“to“Ïr‘ÿ}'otateŽ‘‡««(˜).‘»This“function“no¸ãwŽ¡o•¸ãv“erloads‘UUÏr‘ÿ}'otateޑē«(‘ª®)–UUwith“three“ÂrealŽ‘ƒ«argumen¸ãts.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ +[¬LDF‘T2003.05.02.«]Ž‘YËSChanged–mname“of“this“function“from“Ïr–ÿ}'otate‘‰ffŽ‘®ar“oundŽ‘@„ü«(›ª®)“to“Ïr‘ÿ}'otateŽ‘‡««(˜).‘»This“function“no¸ãwŽ¡o•¸ãv“erloads‘UUÏr‘ÿ}'otateޑē«(‘ª®)–UUwith“three“ÂrealŽ‘ƒ«argumen¸ãts.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ ÂvirtualŽ‘/ÔT‘ÿ «ransformŽ‘gV¦Ïr‘ÿ}'otateŽ’Åä«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]Ïp0Ž‘Pø±;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒÏp1Ž‘R¢Å±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏangleŽ‘Qã«=‘Ç180ŽŽ‘Ç);ŽŸÂ720.‘ ü«TO›]¬DO:–]¯Change“this,‘_Åso“that“I˜use“ÂopQÇeratorŽ‘.ôd·«=ŽŽŽ‘;»ƒ(ÂT‘ÿ «ransformŽ‘4s}«)“here“and“in“the“other“transformationŽ¡functions.ަ·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ @@ -2685,12 +2722,12 @@ «ransformŽ‘AÈÓP®9athŽ‘[Z;«::‘Ïr‘ÿ}'otateŽ‘oB«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]Ïp0Ž‘Pø±;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒÏp1Ž‘R¢Å±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏangleŽ‘NHË«)Ž¡‘ ·fŽ¡‘ÂT‘ÿ «ransformŽ‘KÈÔ±tŽ‘OeF«;ަ‘±tŽ‘œt:Ïr‘ÿ}'otateŽ‘o>«(Ïp0Ž‘ À±;‘ª¨Ïp1Ž‘ Áh±;‘ª¨ÏangleŽ‘jû«);Ž¡‘ÂreturnŽ‘7漫(·Ž‘ÏthisŽ‘²Ï·«=ŽŽ‘(A±tŽ‘+Ýx«);Ž¡‘ -·gŽŽŽŒ‹È ØL Šn ý‘ì«200›ÂP–ÿ -«A“TH‘ÕX­AR•ÃŽGUMENTS’¯3DLDFPR“G˜·x«721Ž €n ý•@PÂ721.‘ üP•®9ath‘ÕTargumen“ts.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ +·gŽŽŽŒ‹Ê ÖÞ Šn ý‘ì«202›ÂP–ÿ +«A“TH‘ÕX­AR•ÃŽGUMENTS’¯3DLDFPR“G˜·x«721Ž €n ý•@PÂ721.‘ üP•®9ath‘ÕTargumen“ts.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¤ ‘ «[¬LDF‘T2002.4.7.«]Ž‘OÈ?Added–UUdefault“v‘ÿqÇalue“for“ÏangleŽ‘jý·‘Ç«180.Ž¡‘ [¬LDF‘T2002.11.03.«]Ž‘Y;Got–UUrid“of“loGcal“ÂP•®9oin“tsŽ‘&Î.Ïp0Ž‘6:C«and“Ïp1Ž‘l«.Ž¡‘ [¬LDF‘T2003.05.02.«]Ž‘YËSChanged–mname“of“this“function“from“Ïr–ÿ}'otate‘‰ffŽ‘®ar“oundŽ‘@„ü«(›ª®)“to“Ïr‘ÿ}'otateŽ‘‡««(˜).‘»This“function“no¸ãwŽ¡o•¸ãv“erloads‘UUÏr‘ÿ}'otateޑē«(‘ª®)–UUwith“three“ÂrealŽ‘ƒ«argumen¸ãts.Ž¡‘ -[¬LDF‘T2003.07.13.«]Ž‘Y;Changed,–UUso“that“Ïis‘‰ffŽ‘®line‘ÿ}'arŽ‘(jÒ«(‘ª®)“is“used“instead“of“c•¸ãhec“king–UUthe“return“v‘ÿqÇalue“ofŽ¡Ïget‘‰ffŽ–®line‘‰ffŽ“switchŽ‘?Ö}«(–ª®).‘MyAlso,‘þ3Ïget‘‰ffŽ–®last‘‰ffŽ“p‘ÿ}'ointŽ‘="q«(“)–èjpassed“as“the“second“argumen¸ãt“to“Ïr‘ÿ}'otateŽ‘W¨«(‘ª®),‘þ3instead“of“Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘*J²«(1Ž‘).ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž© ‘ +[¬LDF‘T2003.07.13.«]Ž‘Y;Changed,–UUso“that“Ïis‘‰ffŽ‘®line‘ÿ}'arŽ‘(jÒ«(‘ª®)“is“used“instead“of“c•¸ãhec“king–UUthe“return“v‘ÿqÇalue“ofŽ¡Ïget‘‰ffŽ–®line‘‰ffŽ“switchŽ‘?Ö}«(–ª®).‘MyAlso,‘þ3Ïget‘‰ffŽ–®last‘‰ffŽ“p‘ÿ}'ointŽ‘="q«(“)–èjpassed“as“the“second“argumen¸ãt“to“Ïr‘ÿ}'otateŽ‘W¨«(‘ª®),‘þ3instead“of“Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘*J²«(1Ž‘).ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž© ‘ ÂT‘ÿ «ransformŽ‘AÈÓÏr‘ÿ}'otateŽ‘\8«(ÂconstŽ‘*¢P®9athŽ‘:[«&Ž‘AØy±pŽ‘Fày;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏangleŽ‘Qã«=‘Ç180ŽŽ‘Ç);ŽŸÂ722.Ž¡·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ަ‘ ÂT‘ÿ @@ -2705,7 +2742,7 @@ «ransformŽ‘KÈÔ±tŽ‘OeF«;Ž¡‘±tŽ‘œt:Ïsc‘ÿ}'aleŽ‘´ò«(±xŽ‘·;‘ª¨yŽ‘í ;‘ª¨zŽ‘ÁÆ«);ަ‘ÂreturnŽ‘7漫(·Ž‘ÏthisŽ‘²Ï·«=ŽŽ‘(A±tŽ‘+Ýx«);ަ‘ ·gŽŸÂ725.‘ üShear.Ž¡·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·ަ‘ ÂT‘ÿ -«ransformŽ‘AÈÓÏshe‘ÿ}'arŽ‘Yý «(ÂrealŽ‘³.ÏxyŽ‘!—±;‘ª¨ÂrealŽ‘]ÖÏxzŽ‘%œÀ«=‘Ç0Ž–Ç±;‘ª¨ÂrealŽ‘]ÖÏyxŽ‘&Zœ«=‘Ç0Ž“±;‘ª¨ÂrealŽ‘]ÖÏyzŽ‘%Ô6«=‘Ç0Ž“±;‘ª¨ÂrealŽ‘]ÖÏzxŽ‘%–Y«=‘Ç0Ž“±;‘ª¨ÂrealŽ‘]ÖÏzyŽ‘%|«=‘Ç0Ž“);ŽŽŽŒ‹É ã× Šn ý‘ì·x«726–­3DLDFPRÃŽG’EF,SHEAR“«201Ž €n ý•@PÂ726.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ +«ransformŽ‘AÈÓÏshe‘ÿ}'arŽ‘Yý «(ÂrealŽ‘³.ÏxyŽ‘!—±;‘ª¨ÂrealŽ‘]ÖÏxzŽ‘%œÀ«=‘Ç0Ž–Ç±;‘ª¨ÂrealŽ‘]ÖÏyxŽ‘&Zœ«=‘Ç0Ž“±;‘ª¨ÂrealŽ‘]ÖÏyzŽ‘%Ô6«=‘Ç0Ž“±;‘ª¨ÂrealŽ‘]ÖÏzxŽ‘%–Y«=‘Ç0Ž“±;‘ª¨ÂrealŽ‘]ÖÏzyŽ‘%|«=‘Ç0Ž“);ŽŽŽŒ‹Ë â Šn ý‘ì·x«726–­3DLDFPRÃŽG’EF,SHEAR“«203Ž €n ý•@PÂ726.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ ÂT‘ÿ «ransformŽ‘AÈÓP®9athŽ‘[Z;«::‘Ïshe‘ÿ}'arŽ‘4>«(ÂrealŽ‘³.ÏxyŽ‘!—±;‘ª¨ÂrealŽ‘]ÖÏxzŽ‘"Õ¨±;‘ª¨ÂrealŽ‘]ÖÏyxŽ‘#“„±;‘ª¨ÂrealŽ‘]ÖÏyzŽ‘# ±;‘ª¨ÂrealŽ‘]ÖÏzxŽ‘"ÏA±;‘ª¨ÂrealŽ‘]ÖÏzyŽ‘"´ð«)Ž¡‘ ·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝPath::sheaŽ‘kÆÜr().\n"Ž’‘ /«;ަ‘ÂT‘ÿ @@ -2727,15 +2764,15 @@ ·gŽŸÂ732.‘ üShift‘ÕTtimes.Ž¡‘ «[¬LDF‘T2003.01.19.«]Ž‘Z}Ïshift‘‰ffŽ‘®timesŽ’ˆô¸«(‘ª®)–U—returns“Âv®9oidŽ‘þ«,‘•§bšGecause“ÂP®9athŽ‘!<’«do˜esn't“ha•¸ãv“e–U—a“ÂT‘ÿ «ransformŽ‘=««data“mem¸ãb˜er,Ž¡and–UUthere's“no“guaranš¸ãtee“that“all“of“the“ÂP•®9oin“tsŽ‘&Î.«on“Ïp‘ÿ}'ointsŽ‘!Ï?«will“ha˜v˜e“iden˜tical“Ïtr‘ÿ}'ansformsŽ‘3-«.Ž¡‘ -[¬LDF‘T2003.01.19.«]Ž‘Y;ÓNote–ˆíthat“Ïshift‘‰ffŽ‘®timesŽ‘2u(«(‘ª®)“will“only“ha•¸ãv“e–ˆían“e ect“on“the“ÂP•®9oin“tsŽ‘'5^«on“a“ÂP®9athŽ‘£>«if“it's“calledŽ¡Ïafter‘6j«a–"Ýcall“to“ÏshiftŽ‘@Z«(›ª®)“and“Ïb–ÿ}'efor“e‘ã8«an–"ÝopGeration“is“applied“that“causes“ÂP•®9oin“tŽ‘½)«::‘Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Gã«(˜)“to“bGe“called.ŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.01.19.«]Ž‘Y;Added–UUthis“section.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽŽŽŒ‹Ê ð6 Šn ý‘ì«202›ÂREAL‘ÕX­AR•ÃŽGUMENTS’í“3DLDFPR“G˜·x«733Ž €n ý•@PÂ733.‘ üreal‘ÕTargumen®9ts.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ© ‘ -«[¬LDF‘T2003.01.19.«]Ž‘Y;Added–UUthis“function.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·ަ‘ +[¬LDF‘T2003.01.19.«]Ž‘Y;ÓNote–ˆíthat“Ïshift‘‰ffŽ‘®timesŽ‘2u(«(‘ª®)“will“only“ha•¸ãv“e–ˆían“e ect“on“the“ÂP•®9oin“tsŽ‘'5^«on“a“ÂP®9athŽ‘£>«if“it's“calledŽ¡Ïafter‘6j«a–"Ýcall“to“ÏshiftŽ‘@Z«(›ª®)“and“Ïb–ÿ}'efor“e‘ã8«an–"ÝopGeration“is“applied“that“causes“ÂP•®9oin“tŽ‘½)«::‘Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Gã«(˜)“to“bGe“called.ŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.01.19.«]Ž‘Y;Added–UUthis“section.ަŸüÈ„`ÕÁGŽŽŽŽŒ‹Ì îG Šn ý‘ì«204›ÂREAL‘ÕX­AR•ÃŽGUMENTS’í“3DLDFPR“G˜·x«733Ž €n ý•@PÂ733.‘ üreal‘ÕTargumen®9ts.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ© ‘ +«[¬LDF‘T2003.01.19.«]Ž‘Y;Added–UUthis“function.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·ަ‘ ÂvirtualŽ‘/Ôv®9oidŽ‘H‹¬Ïshift‘‰ffŽ‘®timesŽ‘wwç«(ÂrealŽ‘³.±xŽ‘jJ;‘ª¨ÂrealŽ‘]Ö±yŽ‘ gæ«=‘Ç1Ž–Ç±;‘ª¨ÂrealŽ‘]Ö±zŽ‘ < «=‘Ç1Ž“);ŽŸÂ734.Ž¡·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ަ‘ Âv®9oidŽ‘"ýÙP®9athŽ‘‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ -«[¬LDF‘T2003.01.19.«]Ž‘Y;Added–UUthis“function.Ž¡ŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·ަ‘ +·gŽŸÂ735.‘ üP•®9oin“t‘ÕTargumen“t.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¦‘ +«[¬LDF‘T2003.01.19.«]Ž‘Y;Added–UUthis“function.Ž¡ŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·ަ‘ ÂvirtualŽ‘/Ôv®9oidŽ‘H‹¬Ïshift‘‰ffŽ‘®timesŽ‘wwç«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«);ŽŸÂ736.Ž¡·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ަ‘ Âv®9oidŽ‘"ýÙP®9athŽ‘‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.11.03.«]Ž‘Y;Changed‘UUÂc®9harŽ‘¿ž«argumen¸ãt–UUto“ÂconstŽ‘!÷c®9harŽ‘7”ë«.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ +«ransformŽŽ¤ «that–Oœwš¸ãould“transform“ÂP®9athŽ‘0œ«suc˜h“that“it“w˜ould“come“to“lie“on“the“ma‘Ž8jor“axis“indicated“b˜y“its“argumen˜t“(b˜yŽ¡default,–UUthe“z-axis).‘qÇIt“došGes“not“actually“p˜erform“the“transformation“on“the“ÂP®9athŽ‘湫.ŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.11.03.«]Ž‘Y;Changed‘UUÂc®9harŽ‘¿ž«argumen¸ãt–UUto“ÂconstŽ‘!÷c®9harŽ‘7”ë«.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ ÂT‘ÿ -«ransformŽ‘AÈÓÏalign‘‰ffŽ–®with‘‰ffŽ“axisŽ’‚{K«(ÂconstŽ‘*¢c®9harŽ‘7”ëÏaxisŽ‘L˜Ë«=‘ÇÝ'z'Ž‘ w«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹Ì -â Šn ý‘ì«204–­NO‘ÕXASSIGNMENT’ù3DLDFPRÃŽG“·x«748Ž €n ý•@PÂ748.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ +«ransformŽ‘AÈÓÏalign‘‰ffŽ–®with‘‰ffŽ“axisŽ’‚{K«(ÂconstŽ‘*¢c®9harŽ‘7”ëÏaxisŽ‘L˜Ë«=‘ÇÝ'z'Ž‘ w«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹Î +r Šn ý‘ì«206–­NO‘ÕXASSIGNMENT’ù3DLDFPRÃŽG“·x«748Ž €n ý•@PÂ748.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ ÂT‘ÿ «ransformŽ‘AÈÓP®9athŽ‘[Z;«::‘Ïalign‘‰ffŽ–®with‘‰ffŽ“axisŽ‘A²|«(ÂconstŽ‘*¢c®9harŽ‘7”ëÏaxisŽ‘Iѳ«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂT‘ÿ «ransformŽ‘KÈÔ±tŽ‘OeF«;ަ‘ÂifŽ‘´ú«(·:Ïget‘‰ffŽ–®line‘‰ffŽ“switchŽ‘?Ö}«(‘ª¨))‘·fŽ¡‘Ïc‘ÿ}'errŽ‘8mŽ·‘·åÝ"ERROR!È ÝInÈ ÝPath::aliŽ‘p·©gn_with_axis().\n"Ž’×uÀ·Ž¡‘2Ý"PathÈ ÝisÈ ÝnotÈ ÝaÈ Ýline.Ž’šÿÉÈ ÝReturningÈ ÝINVALID_Ž’ÿTRANSFORM.\n\n"Ž’SEÈ«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_TRANSFORMŽ’›¬ò«;Ž¡‘·gަ‘ÂP•®9oin“tŽ‘2ïŸÏp0Ž‘?_«(·Ž‘Ïp‘ÿ}'ointsŽ‘ $–«[0Ž‘]);Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏp1Ž‘?_«(·Ž‘Ïp‘ÿ}'ointsŽ‘ $–«[1Ž‘]);ަ‘ÂreturnŽ‘7æ¼±tŽ‘;ƒ.:Ïalign‘‰ffŽ–®with‘‰ffŽ“axisŽ‘@²x«(Ïp0Ž‘ À±;‘ª¨Ïp1Ž‘ Áh±;‘ª¨ÏaxisŽ‘çp«);Ž¡‘ -·gŽŸÂ749.– üWith‘ÀDassignmen®9t.“«[¬LDF‘T2002.11.03.«]Ž‘Y—IThis–dhfunction“should“nevš¸ãer“bGe“called“with“the“Âb•QÇo“olŽ‘á«argumen˜tŽ¡ÏassignŽ‘¢4·‘ÇÏfalseŽ‘v\«.‘qÇIt–UUwš¸ãon't“cause“an˜y“harm,“though,“since“it“will“just“call“the“ÂconstŽ‘!÷«v˜ersion“abGo˜v˜e.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +·gŽŸÂ749.– üWith‘ÀDassignmen®9t.“«[¬LDF‘T2002.11.03.«]Ž‘Y—IThis–dhfunction“should“nevš¸ãer“bGe“called“with“the“Âb•QÇo“olŽ‘á«argumen˜tŽ¡ÏassignŽ‘¢4·‘ÇÏfalseŽ‘v\«.‘qÇIt–UUwš¸ãon't“cause“an˜y“harm,“though,“since“it“will“just“call“the“ÂconstŽ‘!÷«v˜ersion“abGo˜v˜e.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.11.03.«]Ž‘Y;Added–UUthis“function.Ž¡‘ [¬LDF‘T2003.07.18.«]Ž‘Y`^Changed,›Ãso–­xthat“Ïis‘‰ffŽ‘®line‘ÿ}'arŽ‘(Âõ«(‘ª®)“is“used,˜rather“than“Ïget‘‰ffŽ–®line‘‰ffŽ“switchŽ‘Cƒõ«(‘ª®).‘z1Also,˜c¸ãhanged“theŽ¡w•¸ãa“y‘³RÂT‘ÿ -«ransformŽ‘;Ú!±tŽ‘C)å«is–³Rset.‘‹¿The“latter“cš¸ãhange“w˜as“necessary‘ÿ*ª,‘ÊÒbGecause“GCC‘³:3.3“couldn't“compile“this“ le“theŽ¡w•¸ãa“y–UUit“w¸ãas“bGefore.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ +«ransformŽ‘;Ú!±tŽ‘C)å«is–³Rset.‘‹¿The“latter“cš¸ãhange“w˜as“necessary‘ÿ*ª,‘ÊÒbGecause“GCC‘³:3.3“couldn't“compile“this“ le“theŽ¡w•¸ãa“y–UUit“w¸ãas“bGefore.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ ÂT‘ÿ «ransformŽ‘AÈÓÏalign‘‰ffŽ–®with‘‰ffŽ“axisŽ’‚{K«(Âb•QÇo“olŽ‘¡fÏassignŽ‘5|‚±;‘ª¨ÂconstŽ‘ÕJc®9harŽ‘9?“ÏaxisŽ‘NCs«=‘ÇÝ'z'Ž‘ w«);ŽŸÂ750.ަ·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ ÂT‘ÿ «ransformŽ‘AÈÓP®9athŽ‘[Z;«::‘Ïalign‘‰ffŽ–®with‘‰ffŽ“axisŽ‘A²|«(Âb•QÇo“olŽ‘¡fÏassignŽ‘5|‚±;‘ª¨ÂconstŽ‘ÕJc®9harŽ‘9?“ÏaxisŽ‘K|[«)Ž¡‘ ·fŽ¡‘ÂifŽ‘´ú«(·:Ïis‘‰ffŽ‘®line‘ÿ}'arŽ‘%}«(‘ª¨))‘·fŽ¡‘Ïc‘ÿ}'errŽ‘8mŽ·‘·åÝ"ERROR!È ÝInÈ ÝPath::aliŽ‘p·©gn_with_axis().\n"Ž’×uÀ·Ž¡‘2Ý"PathÈ ÝisÈ ÝnotÈ Ýlinear.Ž’šÿÉÈ ÝReturningÈ ÝINVALID_Ž’ÿTRANSFORM.\n\n"Ž’SEÈ«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_TRANSFORMŽ’›¬ò«;Ž¡‘·gަ‘ÂT‘ÿ «ransformŽ‘KÈÔ±tŽ‘OeF«;ަ‘±tŽ‘œt:Ïalign‘‰ffŽ–®with‘‰ffŽ“axisŽ‘@²x«(Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(0Ž‘)±;‘ª¨Ïget‘‰ffŽ–®last‘‰ffŽ“p‘ÿ}'ointŽ‘;Îæ«(–ª¨)±;“ÏaxisŽ‘çp«);Ž¡‘ÂifŽ‘´ú«(ÏassignŽ‘¢4·‘ÇÏfalseŽ‘v\«)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘8(¢·‘rùÝ"WARNING!È ÝInÈ ÝPath::aŽ‘pr½lign_with_axis():\n"Ž’ákâ·Ž¡‘2Ý"Don'tÈ ÝcallÈ ÝthisÈ ÝfunŽ’šÿÉctionÈ ÝwithÈ ÝtheÈ Ý\"assŽ’ÿign\"È Ý"Ž’0]ì·Ž¡‘2Ý"argumentÈ Ý==È Ýfalse.\Ž’šÿÉnItÈ Ýwon'tÈ ÝcauseÈ ÝanyÈ Ž’ÿÝharm,È Ýthough.\n"Ž’[{¢·‘õÝÝ"Continuing.\n\n"Ž‘_±ï·Ž¡‘2Ï ushŽ‘G¹«;Ž¡‘ÂreturnŽ‘Aæ½±tŽ‘Eƒ/«;Ž¡‘·gŽ¡‘ÂreturnŽ‘7漫(·Ž‘ÏthisŽ‘²Ï·«=ŽŽ‘(A±tŽ‘+Ýx«);Ž¡‘ -·gŽŽŽŒ‹Í -M Šn ý‘ì·x«751›­3DLDFPR•ÃŽG’WF“OR‘ÕXNON-LINES˜«205Ž €n ý•@PÂ751.– üF‘ÿ -«or‘…Snon-lines.“«(ÂP•®9oin“t–î_«and“axis“argumen¸ãts).‘<å[¬LDF‘T2002.11.03.«]Ž‘UÞ)This“function“ nds“the“transfor-ޤ mation–(õthat“wš¸ãould“align“the“line“segmen˜tŸü±È“·ŽŽ‘ ÉÜ‘þãŽŽŽ‘gþ!ŽŽŸN8“±pŸÿ®0Ž‘|s±pŸÿ®1ŽŽŽŽŽ‘ZЫwith“the“ma‘Ž8jor“axis“indicated“b˜y“the“ÏaxisŽ‘޲«argumen˜t,‘]ÜandŽ¡applies–UUit“to“·Ž‘UVÏthisŽ‘A «.‘qÇÏp0Ž‘ÝÜ«and“Ïp1Ž‘Áj«are“not“c¸ãhanged.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.11.03.«]Ž‘Y;Changed‘UUÂP•®9oin“tŽ‘"Dò«argumenš¸ãts–UUto“ÂconstŽ‘!÷P•®9oin“tŽ‘@o”«&Ž‘KŒand“Âc®9harŽ‘¿ž«argumen˜t“to“ÂconstŽ‘!÷c®9harŽ‘7”ë«.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž© ‘ +·gŽŽŽŒ‹Ï +² Šn ý‘ì·x«751›­3DLDFPR•ÃŽG’WF“OR‘ÕXNON-LINES˜«207Ž €n ý•@PÂ751.– üF‘ÿ +«or‘…Snon-lines.“«(ÂP•®9oin“t–î_«and“axis“argumen¸ãts).‘<å[¬LDF‘T2002.11.03.«]Ž‘UÞ)This“function“ nds“the“transfor-ޤ mation–(õthat“wš¸ãould“align“the“line“segmen˜tŸü±È“·ŽŽ‘ ÉÜ‘þãŽŽŽ‘gþ!ŽŽŸN8“±pŸÿ®0Ž‘|s±pŸÿ®1ŽŽŽŽŽ‘ZЫwith“the“ma‘Ž8jor“axis“indicated“b˜y“the“ÏaxisŽ‘޲«argumen˜t,‘]ÜandŽ¡applies–UUit“to“·Ž‘UVÏthisŽ‘A «.‘qÇÏp0Ž‘ÝÜ«and“Ïp1Ž‘Áj«are“not“c¸ãhanged.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.11.03.«]Ž‘Y;Changed‘UUÂP•®9oin“tŽ‘"Dò«argumenš¸ãts–UUto“ÂconstŽ‘!÷P•®9oin“tŽ‘@o”«&Ž‘KŒand“Âc®9harŽ‘¿ž«argumen˜t“to“ÂconstŽ‘!÷c®9harŽ‘7”ë«.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž© ‘ ÂT‘ÿ «ransformŽ‘AÈÓÏalign‘‰ffŽ–®with‘‰ffŽ“axisŽ’‚{K«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]Ïp0Ž‘Pø±;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒÏp1Ž‘R¢Å±;‘ª¨ÂconstŽ‘ÕJc®9harŽ‘9?“ÏaxisŽ‘K|[«);ŽŸÂ752.Ž¡·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ަ‘ ÂT‘ÿ «ransformŽ‘AÈÓP®9athŽ‘[Z;«::‘Ïalign‘‰ffŽ–®with‘‰ffŽ“axisŽ‘A²|«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]Ïp0Ž‘Pø±;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒÏp1Ž‘R¢Å±;‘ª¨ÂconstŽ‘ÕJc®9harŽ‘9?“ÏaxisŽ‘NCs«=‘ÇÝ'z'Ž‘ w«)ަ‘ ·fަ‘ÂT‘ÿ «ransformŽ‘KÈÔ±tŽ‘OeF«;Ž¡‘±tŽ‘œt:Ïalign‘‰ffŽ–®with‘‰ffŽ“axisŽ‘@²x«(Ïp0Ž‘ À±;‘ª¨Ïp1Ž‘ Áh±;‘ª¨ÏaxisŽ‘çp«);ަ‘ÂreturnŽ‘7漫(·Ž‘ÏthisŽ‘²Ï·«=ŽŽ‘(A±tŽ‘+Ýx«);ަ‘ -·gޤÂ753.‘ üAdding›ÕTP•®9oin“ts˜to˜P“aths.Ž¡754.‘ üWith‘ÕTassignmen®9t.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ -«[¬LDF‘T2002.4.6.«]Ž‘O›çAdded–(ýthis“function.›bÿCurren¸ãtly‘ÿ*ª,‘1Ûit“doGesn't“return“a“ÂP®9athŽ‘ºa«.˜If“it“turns“out“that“it“w¸ãould“bGeަuseful–UUto“return“·Ž‘UVÏthisŽ‘A «,“I“can“c¸ãhange“it.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·ަ‘ +·gޤÂ753.‘ üAdding›ÕTP•®9oin“ts˜to˜P“aths.Ž¡754.‘ üWith‘ÕTassignmen®9t.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¦‘ +«[¬LDF‘T2002.4.6.«]Ž‘O›çAdded–(ýthis“function.›bÿCurren¸ãtly‘ÿ*ª,‘1Ûit“doGesn't“return“a“ÂP®9athŽ‘ºa«.˜If“it“turns“out“that“it“w¸ãould“bGeަuseful–UUto“return“·Ž‘UVÏthisŽ‘A «,“I“can“c¸ãhange“it.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·ަ‘ Âv®9oidŽ‘"ýÙopQÇeratorŽ‘N”Ž«+=ŽŽŽ‘^"Ê(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]ÏptŽ‘NÅú«);ŽŸÂ755.Ž¡·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ަ‘ Âv®9oidŽ‘"ýÙP®9athŽ‘‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ -«[¬LDF‘T2002.4.6.«]Ž‘OÈ?Added–UUthis“function.Ž¡ŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·ަ‘ -ÂP®9athŽ‘%æºopQÇeratorŽ‘Q}o«+Ž‘YD(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]ÏptŽ‘NÅú«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹Î - ¦ Šn ý‘ì«206–­WITHOUT‘ÕXASSIGNMENT’úŠ„3DLDFPRÃŽG“·x«757Ž €n ý•@PÂ757.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ +·gŽŸÂ756.‘ üWithout‘ÕTassignmen®9t.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¦‘ +«[¬LDF‘T2002.4.6.«]Ž‘OÈ?Added–UUthis“function.Ž¡ŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·ަ‘ +ÂP®9athŽ‘%æºopQÇeratorŽ‘Q}o«+Ž‘YD(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]ÏptŽ‘NÅú«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹Ð +à Šn ý‘ì«208–­WITHOUT‘ÕXASSIGNMENT’úŠ„3DLDFPRÃŽG“·x«757Ž €n ý•@PÂ757.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ ÂP®9athŽ‘%æºP®9athŽ‘?x"«::Ž‘F`ÂopQÇeratorŽ‘q«+Ž‘yd3(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]ÏptŽ‘NÅú«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂP®9athŽ‘/æ»Ïp‘ÿ}'aŽ‘:ãÿ«(·Ž‘ÏthisŽ‘ë·«);ަ‘Ïp‘ÿ}'aŽ‘ýF±:Ïp‘ÿ}'ointsŽ‘$•±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÂP•®9oin“tŽ‘šL«::Ž‘#(ŠÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“p‘ÿ}'ointŽ‘kþ†«(ÏptŽ‘ ä«));Ž¡‘ÂreturnŽ‘7æ¼Ïp‘ÿ}'aŽ‘Bä«;Ž¡‘ -·gŽŸÂ758.‘ üAdding–ÕTconnectors“to“P®9aths.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.02.09.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ +·gŽŸÂ758.‘ üAdding–ÕTconnectors“to“P®9aths.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.02.09.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ Âv®9oidŽ‘"ýÙopQÇeratorŽ‘N”Ž«+=ŽŽŽ‘^"Ê(ÂconstŽ‘*¢stringŽ‘?Oï±sŽ‘Cÿï«);ŽŸÂ759.ަ·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ Âv®9oidŽ‘"ýÙP®9athŽ‘‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ +«ersions–ÕTusing“\&".Ž¡762.– üWith‘ÕTassignmenš®9t.“«This–UUfunction“appGends“the“ÂP˜athŽ‘<«argumen¸ãt“Ïp‘ÿ}'aŽ‘§î«to“·Ž‘UVÏthisŽ‘A «.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¤ ‘ «[¬LDF‘T2002.4.6.«]Ž‘OÈ?Added–UUthis“function.Ž¡‘ -[¬LDF‘T2002.11.03.«]Ž‘Y;Made‘UUnon-ÂinlineŽ‘4ó«.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ +[¬LDF‘T2002.11.03.«]Ž‘Y;Made‘UUnon-ÂinlineŽ‘4ó«.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ Âv®9oidŽ‘"ýÙopQÇeratorŽ‘N”Ž«&=ŽŽŽ‘^"Ê(ÂconstŽ‘*¢P®9athŽ‘:[«&Ž‘AØyÏp‘ÿ}'aŽ‘LÕ½«);ŽŸÂ763.ަ·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ -Âv®9oidŽ‘"ýÙP®9athŽ‘«;Ž¡‘(ÂreturnŽ‘H‘i«;Ž¡‘·gަ‘ÂstringŽ‘?%PÏlast‘‰ffŽ‘®c–ÿ}'onne“ctorŽ‘}F «;ŽŽŽŒ‹Ï -,¨ Šn ý‘ì·x«764–­3DLDFPRÃŽG’ ¨tWITH‘ÕXASSIGNMENT“«207Ž €n ý•@PÂ764.‘ ü«[¬LDF‘T2002.4.6.«]Ž‘Q±If–¾there“isn't“an“explicit“connector“for“evš¸ãery“pair“of“ÂP•®9oin“tsŽ‘'ŸÂ«in“ÏthisŽ‘©ÕŸ±~ŽŽ‘©ÖÏp‘ÿ}'ointsŽ‘3Îk«,‘ØRthen“w˜eޤ ha•¸ãv“e–to“ ll“up“Ïc–ÿ}'onne“ctorsŽ‘7P4«so“that“there“are“enough.››ÒOtherwise,‘«;Ž¡‘(ÂreturnŽ‘H‘i«;Ž¡‘·gަ‘ÂstringŽ‘?%PÏlast‘‰ffŽ‘®c–ÿ}'onne“ctorŽ‘}F «;ŽŽŽŒ‹Ñ +)a Šn ý‘ì·x«764–­3DLDFPRÃŽG’ ¨tWITH‘ÕXASSIGNMENT“«209Ž €n ý•@PÂ764.‘ ü«[¬LDF‘T2002.4.6.«]Ž‘Q±If–¾there“isn't“an“explicit“connector“for“evš¸ãery“pair“of“ÂP•®9oin“tsŽ‘'ŸÂ«in“ÏthisŽ‘©ÕŸ±~ŽŽ‘©ÖÏp‘ÿ}'ointsŽ‘3Îk«,‘ØRthen“w˜eޤ ha•¸ãv“e–to“ ll“up“Ïc–ÿ}'onne“ctorsŽ‘7P4«so“that“there“are“enough.››ÒOtherwise,‘ Ы);ŽŸÂ765.‘ ü«[¬LDF‘T2002.4.6.«]Ž‘PõÆIf–áthe“ÂP®9athsŽ‘# b«don't“touc¸ãh,‘_they“are“joined“using“\.."›VKinstead“of“\&".˜This“mimics“theŽ¡bGehaš¸ãvior–UUof“MET‘ÿ*ªAF˜ONT.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.11.03.«]Ž‘Y;No¸ãw–UUusing“·Ž‘UV«(Ïp‘ÿ}'ointsŽ›$•±:Ïb‘ÿ}'ackŽ‘üë(‘ª¨))“instead“of“Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘*·«(Ïp‘ÿ}'ointsŽ˜±:ÏsizeŽ‘\«(‘ª¨)–8à·“«1Ž‘8á).ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ +ÂwhileŽ‘(C-«(Ïc–ÿ}'onne“ctorsŽ‘/4.±:ÏsizeŽ›\«(‘ª¨)–DZ<“Ïp‘ÿ}'ointsŽ‘ë­±:ÏsizeŽ˜«(‘ª¨)–8à·“«1Ž‘8á)‘Ïc–ÿ}'onne“ctorsŽ‘44.±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(Ïlast‘‰ffŽ‘®c–ÿ}'onne“ctorŽ‘> Ы);ŽŸÂ765.‘ ü«[¬LDF‘T2002.4.6.«]Ž‘PõÆIf–áthe“ÂP®9athsŽ‘# b«don't“touc¸ãh,‘_they“are“joined“using“\.."›VKinstead“of“\&".˜This“mimics“theŽ¡bGehaš¸ãvior–UUof“MET‘ÿ*ªAF˜ONT.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.11.03.«]Ž‘Y;No¸ãw–UUusing“·Ž‘UV«(Ïp‘ÿ}'ointsŽ›$•±:Ïb‘ÿ}'ackŽ‘üë(‘ª¨))“instead“of“Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘*·«(Ïp‘ÿ}'ointsŽ˜±:ÏsizeŽ‘\«(‘ª¨)–8à·“«1Ž‘8á).ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ ÂifŽ‘´ù«(·Ž›«(Ïp‘ÿ}'ointsŽ‘$•±:Ïb‘ÿ}'ackŽ‘üë(‘ª¨))–Ç·6«=“Ïp‘ÿ}'aŽ‘ Ä\±:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(0Ž˜))‘·fŽ¡‘Ïc‘ÿ}'errŽ‘+›·‘ålÝ"ERROR!È ÝInÈ ÝPath::opeŽ‘må0rator&(Path&)."Ž’Â×·‘ålÝ"PathsÈ Ýdon'tÈ Ýtouch.\Ž‘må0n"Ž‘}Ðþ·Ž¡‘(Ý"UsingÈ Ý\"..\"È ÝtoÈ ÝjoiŽ’ÿÈnÈ ÝthemÈ ÝinsteadÈ ÝofÈ Ý\"Ž’ùÿŒ&\".\n"Ž’" ÷·‘ÇÏ ushŽ‘€«;Ž¡‘Ïc–ÿ}'onne“ctorsŽ‘C40±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(Ý".."Ž‘†\«);Ž¡‘ ·gŽ¡‘ ÂelseŽ‘!ØàÏc–ÿ}'onne“ctorsŽ‘Q ±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(Ý"&"Ž‘F_«);Ž¡‘ @@ -2828,14 +2865,14 @@ ÂforŽ‘œ «(Âv®9ectorŽ‘ªH·hÂstringŽ‘Ïø·i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘ÇÏp‘ÿ}'aŽ– Ä\±:Ïc–ÿ}'onne“ctorsŽ›/4.±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);‘³€ÏiterŽ‘E–·6«=‘ÇÏp‘ÿ}'aŽ“±:Ïc–ÿ}'onne“ctorsŽ˜±:ÏendŽ‘ಫ(‘ª¨);‘³€ÏiterŽ‘þ~Ÿÿ®+‘ÿ+ŽŽ‘!Åž«)‘·fŽ¡‘Ïc–ÿ}'onne“ctorsŽ‘C40±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(·Ž‘ÏiterŽ‘Êÿ«);Ž¡‘ ·gŽ¡‘ -ÂreturnŽ‘*‘f«;‘qÇ·gŽŸÂ767.‘ üWithout‘ÕTassignmen®9t.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.4.6.«]Ž‘OÈ?Added–UUthis“function.‘qÇIt“bšGeha•¸ãv“es–UUthe“w•¸ãa“y–UUthe“op˜erator“\&"“do˜es“in“MET‘ÿ*ªAF¸ãONT.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ -ÂP®9athŽ‘%æºopQÇeratorŽ‘Q}o«&Ž‘YD(ÂconstŽ‘*¢P®9athŽ‘:[«&Ž‘AØyÏp‘ÿ}'aŽ‘LÕ½«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹Ð -6ö Šn ý‘ì«208–­WITHOUT‘ÕXASSIGNMENT’úŠ„3DLDFPRÃŽG“·x«768Ž €n ý•@PÂ768.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ +ÂreturnŽ‘*‘f«;‘qÇ·gŽŸÂ767.‘ üWithout‘ÕTassignmen®9t.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.4.6.«]Ž‘OÈ?Added–UUthis“function.‘qÇIt“bšGeha•¸ãv“es–UUthe“w•¸ãa“y–UUthe“op˜erator“\&"“do˜es“in“MET‘ÿ*ªAF¸ãONT.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ +ÂP®9athŽ‘%æºopQÇeratorŽ‘Q}o«&Ž‘YD(ÂconstŽ‘*¢P®9athŽ‘:[«&Ž‘AØyÏp‘ÿ}'aŽ‘LÕ½«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹Ò +3Y Šn ý‘ì«210–­WITHOUT‘ÕXASSIGNMENT’úŠ„3DLDFPRÃŽG“·x«768Ž €n ý•@PÂ768.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ ÂP®9athŽ‘%æºP®9athŽ‘?x"«::Ž‘F`ÂopQÇeratorŽ‘q«&Ž‘yd3(ÂconstŽ‘*¢P®9athŽ‘:[«&Ž‘AØyÏp‘ÿ}'aŽ‘LÕ½«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂP®9athŽ‘/æ»±rŽ‘4°Ï«(·Ž‘ÏthisŽ‘ë·«);ަ‘±rŽ‘‘.«&=ŽŽ‘-æ‚Ïp‘ÿ}'aŽ‘8ãÆ«;Ž¡‘ÂreturnŽ‘7æ¼±rŽ‘<°Ð«;Ž¡‘ -·gŽŸÂ769.› üAppQÇending–‰Qwith“a“connector“argumen®9t.˜«[¬LDF‘T2002.4.7.«]Ž‘Qä½It–ñØwš¸ãould“not“ha˜v˜e“bšGeen“p˜ossible“toŽ¡spšGecify–d}a“connector“if“I'd“de ned“this“function“as“a“binary“op˜erator,–hGe.g.,“ÂopQÇeratorŽ‘.þü«+=ŽŽŽ‘>8(‘ª¨),“so–d}I'v¸ãe“made“it“aŽ¡named–&function.‘b It“can“bGe“useful“when,›/Žfor“instance,˜rotation“causes“t•¸ãw“o‘&ÂP•®9oin“tsŽ‘#I «,˜whic“h–&should“bGe“iden¸ãtical,Ž¡to–0di er“bš¸ãy“a“small“amoun˜t,‘7{lik˜e“1±=«10±;‘ª¨«000“in“one“cošGordinate.‘eWThis“has“actually“happ˜ened,‘7{whicš¸ãh“is“wh˜y“I'v˜eŽ¡added–þ»this“function.‘TéMET‘ÿ*ªAPOST‘þ¥can“reco•¸ãv“er–þ»gracefully“b¸ãy“using“\Ý..Ž‘ b«"“instead“of“\&"“to“connect“the“paths,Ž¡but–Œúit“issues“an“error“message“and“stops“to“wš¸ãait“for“a“respGonse.‘·Using“this“function“can“help“to“a˜v˜oid“suc˜hŽ¡problems.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.4.7.«]Ž‘OÈ?Added–UUthis“function.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ +·gŽŸÂ769.› üAppQÇending–‰Qwith“a“connector“argumen®9t.˜«[¬LDF‘T2002.4.7.«]Ž‘Qä½It–ñØwš¸ãould“not“ha˜v˜e“bšGeen“p˜ossible“toŽ¡spšGecify–d}a“connector“if“I'd“de ned“this“function“as“a“binary“op˜erator,–hGe.g.,“ÂopQÇeratorŽ‘.þü«+=ŽŽŽ‘>8(‘ª¨),“so–d}I'v¸ãe“made“it“aŽ¡named–&function.‘b It“can“bGe“useful“when,›/Žfor“instance,˜rotation“causes“t•¸ãw“o‘&ÂP•®9oin“tsŽ‘#I «,˜whic“h–&should“bGe“iden¸ãtical,Ž¡to–0di er“bš¸ãy“a“small“amoun˜t,‘7{lik˜e“1±=«10±;‘ª¨«000“in“one“cošGordinate.‘eWThis“has“actually“happ˜ened,‘7{whicš¸ãh“is“wh˜y“I'v˜eŽ¡added–þ»this“function.‘TéMET‘ÿ*ªAPOST‘þ¥can“reco•¸ãv“er–þ»gracefully“b¸ãy“using“\Ý..Ž‘ b«"“instead“of“\&"“to“connect“the“paths,Ž¡but–Œúit“issues“an“error“message“and“stops“to“wš¸ãait“for“a“respGonse.‘·Using“this“function“can“help“to“a˜v˜oid“suc˜hŽ¡problems.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.4.7.«]Ž‘OÈ?Added–UUthis“function.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ ÂP®9athŽ‘%æºÏapp‘ÿ}'endŽ‘E™ã«(ÂconstŽ‘*¢P®9athŽ‘:[«&Ž‘AØyÏp‘ÿ}'aŽ‘LÕ½±;‘ª¨ÂstringŽ‘"ÏõÏc–ÿ}'onne“ctorŽ‘Põç«=‘ÇÝ"--"Ž‘Mt±;‘ª¨Âb•QÇo“olŽ‘LÏassignŽ‘9îB«=‘ÇÏtrueŽ‘‹°«);ŽŸÂ770.ަ·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ ÂP®9athŽ‘%æºP®9athŽ‘?x"«::‘Ïapp‘ÿ}'endŽ‘ 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-2843,16 +2880,16 @@ ·gŽ¡‘ ÂifŽ‘´ù«(ÏassignŽ‘¢4·‘ÇÏtrueŽ‘‹°«)‘·Ž‘ ÏthisŽ‘²Ï«=‘DZrŽ‘‘,«;Ž¡‘ -ÂreturnŽ‘-æ»±rŽ‘2°Ï«;‘qÇ·gޤÂ772.‘ üDra®9wing–ÕTand“ lling.Ž¡773.‘ üDra®9w.ŽŽŽŒ‹Ñ -GW Šn ý‘ì·x«774›­3DLDFPRÃŽG’hIÂP–ÿ -«A“TH‘ÕX­VERSIONS˜«209Ž €n ý•@PÂ774.‘ üP•®9ath‘ÕTv“ersions.ŽŸ775.‘ üNormal‘ÕTv®9ersion.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ© ‘ -«[¬LDF‘T2002.10.07.«]Ž‘Y;Added–UUcoGde“for“handling“Ïdr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘5–ã«and“Ï l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorŽ‘(íª«.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·ަ‘ +ÂreturnŽ‘-æ»±rŽ‘2°Ï«;‘qÇ·gޤÂ772.‘ üDra®9wing–ÕTand“ lling.Ž¡773.‘ üDra®9w.ŽŽŽŒ‹Ó +Cd Šn ý‘ì·x«774›­3DLDFPRÃŽG’hIÂP–ÿ +«A“TH‘ÕX­VERSIONS˜«211Ž €n ý•@PÂ774.‘ üP•®9ath‘ÕTv“ersions.ŽŸ775.‘ üNormal‘ÕTv®9ersion.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ© ‘ +«[¬LDF‘T2002.10.07.«]Ž‘Y;Added–UUcoGde“for“handling“Ïdr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘5–ã«and“Ï l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorŽ‘(íª«.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·ަ‘ 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+Õy Šn ý‘ì·x«821–­3DLDFPRÃŽG’4NORMAL‘ÕXVERSION“«221Ž €n ý•@PÂ821.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙP®9athŽ‘‘h«;Ž¡‘·gަ‘ÂP®9athŽ‘/æ»·Ž‘4æ¼±pŽ‘<µÔ«=‘ÇÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“p‘ÿ}'athŽ‘GÚ·«(ÏthisŽ‘ë¶«);ަ‘±pŽ‘Ÿ~ŽŽ‘Ï l‘‚Øl‘‰ffŽ–®dr‘ÿ}'aw‘‰ffŽ“valueŽ‘^{,«=‘ÇÝUNFILLŽ‘"Ín«;Ž¡‘±pŽ‘Ÿ~ŽŽ‘Ïdr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘N»T«=‘Ç0Ž‘Ç;Ž¡‘±pŽ‘Ÿ~ŽŽ‘Ï l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorŽ‘Egp«=‘Ç0Ž‘Ç;Ž¡‘±pŽ‘Ÿ~ŽŽ‘Ïdashe‘ÿ}'dŽ‘=ù¼«=‘ÇÝ""Ž‘ Íz«;Ž¡‘±pŽ‘Ÿ~ŽŽ‘Ïp‘ÿ}'enŽ‘/èΫ=‘ÇÝ""Ž‘ Íz«;Ž¡‘Ïpictur‘ÿ}'eŽ‘5Ïð«+=ŽŽ‘H%DÂstaticu½‰™šs4Ž‘ÔwcastŽ‘|¢æ·hÂShapQÇeŽ‘"Ab·Ž‘'Aci«(±pŽ‘«);Ž¡‘ ·gޤÂ822.‘ üUn lldra®9w.Ž¡823.‘ üNormal‘ÕTv®9ersion.ަ·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ÿ3Ïun l‘‚Øldr‘ÿ}'awŽ‘Oc«(ÂconstŽ‘+üColorŽ‘=ÒI«&Ž‘E™gÏddr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘|ki«=‘ÉY·Ž‘ÉZÂColorsŽ‘)¢8«::Ž‘00vÏb–ÿ}'ackgr“ound‘‰ffŽ‘®c“olorŽ‘ztα;‘ª¨ÂstringŽ‘"ÑOÏddashe‘ÿ}'dŽ‘Hṫ=‘ÉYÝ""Ž‘ Ï»±;‘ª¨ÂstringŽŽ¡‘Ïpp‘ÿ}'enŽ‘5ý>«=‘ÇÝ""Ž‘ Íz±;‘ª¨ÂPictureŽ‘*œ -«&Ž‘2c(Ïpictur‘ÿ}'eŽ‘T3«=‘ÇÏcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘Dìß«);ŽŽŽŒ‹Ü -匠Šn ý‘ì«220–­NORMAL‘ÕXVERSION’43DLDFPRÃŽG“·x«824Ž €n ý•@PÂ824.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ +«&Ž‘2c(Ïpictur‘ÿ}'eŽ‘T3«=‘ÇÏcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘Dìß«);ŽŽŽŒ‹Þ +ß— Šn ý‘ì«222–­NORMAL‘ÕXVERSION’43DLDFPRÃŽG“·x«824Ž €n ý•@PÂ824.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙP®9athŽ‘"·Ž¡‘2Ý"NotÈ ÝdoingÈ Ýanything.Ž’šÿÉ\n\n"Ž’¸:·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘>‘h«;Ž¡‘·gަ‘ÂP®9athŽ‘/æ»·Ž‘4æ¼±pŽ‘<µÔ«=‘ÇÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“p‘ÿ}'athŽ‘GÚ·«(ÏthisŽ‘ë¶«);ަ‘±pŽ‘Ÿ~ŽŽ‘Ï l‘‚Øl‘‰ffŽ–®dr‘ÿ}'aw‘‰ffŽ“valueŽ‘^{,«=‘ÇÝUNFILLDRAWŽ‘7Íb«;Ž¡‘±=·‘!O«LDF‘vž2002.10.07.›Õ¼Added–v§coGde“for“handling“Ïdr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘5Ù‡«and“Ï l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorŽ‘)ü«.˜Will“get“rid“of“this“if“I‘vždoŽ¡‘(actually–UUcš¸ãhange“it“to“mak˜e“it“act“more“lik˜e“Âun lldra®9w“«in“MET‘ÿ*ªAPOST.‘ÿý·±=Ž¡‘ÂifŽ‘´ú«(Ïddr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘4©±:Ïget‘‰ffŽ–®use‘‰ffŽ“nameŽ‘:¶«(‘ª¨)–Ç·“ÏfalseŽ‘v\«)‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"AllocatingÈ ÝmemoryÈ ÝfŽ‘kÆÜorÈ ÝColor.\n"Ž’®8·‘ÇÏ ushŽ‘€«;ަ‘ÂColorŽ‘=¤ö·Ž‘B¤÷±cŽ‘I¿ê«=‘ÇÂColorŽ‘ º«::Ž‘&¤øÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“c‘ÿ}'olorŽ‘nø«(‘ª¨);ަ‘·Ž‘#±cŽ‘*÷«=‘ÇÏddr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘6ÏÁ«;Ž¡‘±pŽ‘!Ÿ~ŽŽ‘'Ïdr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘X»U«=‘DZcŽ‘ó«;Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ddraw_color.get_namŽ‘kÆÜe()È Ý==È Ý"Ž’™D·‘ÇÏddr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘6ÏÁ±:Ïget‘‰ffŽ‘®nameŽ‘(ùÀ«(‘ª¨)–Ç·“Ïend‘‚ØlŽ‘ò·“Ï ushŽ‘€«;Ž¡‘±pŽ‘!Ÿ~ŽŽ‘'Ïdr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘X»U«=‘Ç&Ž‘ Ž6Ïddr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘>–ß«;Ž¡‘·gŽ¡‘±pŽ‘Ÿ~ŽŽ‘Ï l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorŽ‘Egp«=‘Ç0Ž‘Ç;Ž¡‘±pŽ‘Ÿ~ŽŽ‘Ïdashe‘ÿ}'dŽ‘=ù¼«=‘ÇÏddashe‘ÿ}'dŽ‘&)«;Ž¡‘±pŽ‘Ÿ~ŽŽ‘Ïp‘ÿ}'enŽ‘/èΫ=‘ÇÏpp‘ÿ}'enŽ‘ý;«;Ž¡‘Ïpictur‘ÿ}'eŽ‘5Ïð«+=ŽŽ‘H%DÂstaticu½‰™šs4Ž‘ÔwcastŽ‘|¢æ·hÂShapQÇeŽ‘"Ab·Ž‘'Aci«(±pŽ‘«);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝPath::unfilŽ‘kÆÜldraw().\n"Ž’¨Ô;·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘4‘g«;Ž¡‘ ·gŽŸÂ825.› üPicture–Þ‹argumen®9t“ rst.˜«[¬LDF‘T2002.09.17.«]Ž‘Z:Added–]Ythis“function.‘‰ÒIt's“con•¸ãv“enien“t–]Yfor“when“I‘]Ww•¸ãan“tŽ¡to–UUpass“a“ÂPictureŽ‘,F·«argumen¸ãt.ަ·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ -Âv®9oidŽ‘#0ËÏun l‘‚Øldr‘ÿ}'awŽ‘O•Z«(ÂPictureŽ‘)$T«&Ž‘0ërÏpictur‘ÿ}'eŽ‘OôH±;‘ª¨ÂconstŽ‘ ‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ +·gޤÂ827.‘ üLabQÇelling.Ž¡828.‘ üLabQÇel.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¤ ‘ «[¬LDF‘T2002.03.25.«]Ž‘Z«Added–UÅargumenš¸ãt“ÏdotŽ‘¬—«and“c˜hanged“de nition“of“Ïdotlab‘ÿ}'elŽ‘&U¸«(‘ª®)“bGelo˜w“so“that“it“just“callsŽ¡Ïlab‘ÿ}'elŽ‘t˜«(‘ª®).Ž¡‘ -[¬LDF‘T2003.04.01.«]Ž‘XÍKBUG‘VFIX:–eGot“rid“of“the“ rst“argumenš¸ãt“ÂunsignedŽ‘3ƒin®9tŽ‘D€Š±iŽ‘Gò~«,‘&.and“made“the“third“argumen˜tŽ¡ÂshortŽ‘zäÏtext‘‰ffŽ‘®shortŽ‘K_é«the–– 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V¼«::‘Ïlab‘ÿ}'elŽ‘tœ«(‘ª®),‘Ö7not“±iŽ‘.d«.‘§Also“c˜hanged“the“follo˜wing“v˜ersionsŽ¡of‘UUÏlab‘ÿ}'elŽ‘Éí«(›ª®)–UUand“Ïdotlab‘ÿ}'elŽ‘%UH«(˜),“that“call“this“function.ަŸüÈ„`ÕÁGŽŽŸÂ829.‘ üNormal‘ÕTv®9ersion.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.05.06.«]Ž‘Y;Changed–UUthe“conditional,“where“Ïtext‘‰ffŽ‘®shortŽ‘1Š«is“compared“with“ÝWORLD_VALUESŽ‘BÛ™«,Ž¡ÝPROJ_VALUESŽ‘:FG«,›¸etc.‘0FI‘Ÿhad–Ñto“c¸ãhange“it,˜bGecause“I'v¸ãe“added“ÝWORLD_VALUES_X_YŽ‘W «,˜etc.‘0FNo¸ãw,˜the“conditional“testsŽ¡for‘"=ÝVIEW_VALUES_X_YŽ‘Shx·Ž‘[/–Ïtext‘‰ffŽ‘®shortŽ’†·Ž’Ö#ÝWORLD_VALUESŽ’Í\g«.‘ØOf–"=course,‘Uwthis“mak¸ães“an“assumption“abGout“the“v‘ÿqÇaluesŽ¡that–are“used“to“signal“that“cošGordinate“v‘ÿqÇalues“should“b˜e“used“for“the“lab˜el,›†but“I‘think“it's“w¸ãorth“it,˜to“a•¸ãv“oidŽ¡testing‘UUÏtext‘‰ffŽ‘®shortŽ‘1Š«against–UUeac¸ãh“v‘ÿqÇalue“individually‘ÿ*ª.Ž¡‘ -[¬LDF‘T2003.07.09.«]Ž‘Y;Made‘UUÏp‘ÿ}'osition‘‰ffŽ‘®stringŽ‘F¥Í«and‘UUÏdotŽ‘«·«argumen¸ãts‘UUÂconstŽ‘*¢«.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ -Âv®9oidŽ‘"½þÏlab‘ÿ}'elŽ‘72–«(ÂshortŽ‘ŠÈÏtext‘‰ffŽ‘®shortŽ‘K1O«=‘Ç0Ž‘Ç±;‘ª¨ÂconstŽ‘•ostringŽ‘@záÏp‘ÿ}'osition‘‰ffŽ‘®stringŽ’ƒ=«=‘ÇÝ"top"Ž‘q±;‘ª¨ÂconstŽ‘•ob•QÇo“olŽ‘8öúÏdotŽ‘J¿«=‘ÇÏfalseŽ‘v\±;‘ª¨ÂPictureŽŽ¡‘«&Ž‘%Ç!Ïpictur‘ÿ}'eŽ‘G—«=‘ÇÏcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘Dìß«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹Þ -ûš Šn ý‘ì«222–­NORMAL‘ÕXVERSION’43DLDFPRÃŽG“·x«830Ž €n ý•@PÂ830.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ +[¬LDF‘T2003.07.09.«]Ž‘Y;Made‘UUÏp‘ÿ}'osition‘‰ffŽ‘®stringŽ‘F¥Í«and‘UUÏdotŽ‘«·«argumen¸ãts‘UUÂconstŽ‘*¢«.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ +Âv®9oidŽ‘"½þÏlab‘ÿ}'elŽ‘72–«(ÂshortŽ‘ŠÈÏtext‘‰ffŽ‘®shortŽ‘K1O«=‘Ç0Ž‘Ç±;‘ª¨ÂconstŽ‘•ostringŽ‘@záÏp‘ÿ}'osition‘‰ffŽ‘®stringŽ’ƒ=«=‘ÇÝ"top"Ž‘q±;‘ª¨ÂconstŽ‘•ob•QÇo“olŽ‘8öúÏdotŽ‘J¿«=‘ÇÏfalseŽ‘v\±;‘ª¨ÂPictureŽŽ¡‘«&Ž‘%Ç!Ïpictur‘ÿ}'eŽ‘G—«=‘ÇÏcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘Dìß«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹à +õ¥ Šn ý‘ì«224–­NORMAL‘ÕXVERSION’43DLDFPRÃŽG“·x«830Ž €n ý•@PÂ830.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘#&2P®9athŽ‘<·š«::‘Ïlab‘ÿ}'elŽ‘tœ«(ÂshortŽ‘òüÏtext‘‰ffŽ‘®shortŽ‘HÒk±;‘ª¨ÂconstŽ‘ý£stringŽ‘AKIÏp‘ÿ}'osition‘‰ffŽ‘®stringŽ’Fl±;‘ª¨ÂconstŽ‘ý£b•QÇo“olŽ‘9ÇbÏdotŽ‘HÈo±;‘ª¨ÂPictureŽ‘*Äc«&Ž‘2‹Ïpictur‘ÿ}'eŽ‘Q”W«)Ž¡‘2ÂconstŽŽ¡‘ ·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝPath::labeŽ‘kÆÜl()"Ž’„P·‘ÇÝ"\n"Ž‘Œ·‘ÇÏ ushŽ‘€«;Ž¡‘ÂifŽ‘´ú«(ÂLabQÇelŽ‘Ag«::Ž‘#Ï¥ÝDO_LABELSŽ‘V] ·‘ÇÏfalseŽ‘v\«)‘ÂreturnŽ‘%‘e«;Ž¡‘ÂifŽ‘´ú«(Ïp‘ÿ}'ointsŽ‘$•±:ÏsizeŽ‘\«(‘ª¨)–Ç·“«0Ž‘Ç)Ž¡‘±=·‘ÿý«LDF–UU2002.09.27.›qÇAdded“this“error“handling“coGde.˜If“the“ÂP®9athŽ‘<«is“empt¸ãy‘ÿ*ª,“don't“labGel“it.‘o·±=Ž¡‘·fŽ¡‘Ïc‘ÿ}'errŽ‘45¡·‘øÝ"WARNING!È ÝInÈ ÝPath::lŽ‘l¼abel():\n"Ž’¥þ·‘øÝ"PathÈ Ýdoesn'tÈ ÝcontaiŽ‘l¼nÈ ÝanyÈ ÝPoints.\n"Ž’Ä…ì·Ž¡‘2Ý"NotÈ ÝdoingÈ Ýanything.Ž’šÿÉ\n\n"Ž’¸:·‘ÇÏ 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ÞstringŽ‘Ai¿Ïp‘ÿ}'osition‘‰ffŽ‘®stringŽ’„ˆ›«=‘#¹Ý"top"Ž‘ê«)ަ‘ÂconstŽ‘8ÕP«;ŽŸÂ837.Ž¡·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ަ‘ Âv®9oidŽ‘"ýÙP®9athŽ‘‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ +[¬LDF‘T2003.01.31.«]Ž‘Y;??‘qÇDo–UUI“need“to“call“ÂP•®9oin“tŽ‘ï¡«::‘Ïpr–ÿ}'oje“ctŽ›w«(‘ª®)“on“the“ÂP•®9oin“tsŽ‘&Î.«here“and“in“ÂP®9athŽ‘潫::‘Ïpr–ÿ}'oje“ctŽ˜«(‘ª®)?ŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¦‘ «[¬LDF‘T2002.09.17.«]Ž‘XåÆAdded‘2àÂconstŽ‘!; F‘ÿ «oQÇcusŽ‘Ac9«&Ž‘I*W±fŽ‘RV«argumenš¸ãt–2àand“error“handling“coGde.‘fKNo˜w,‘9Äif“an˜y“of“the“ÂP•®9oin“tsŽŽ¦«on‘{pÂv®9ectorŽ‘#%¸·hÂP•®9oin“tŽ‘¸·Ž‘$¹i‘{pÏp‘ÿ}'ointsŽ‘"u«cannot–{pbGe“pro›Ž8jected“on¸ãto“the“pro˜jection“plane“using“the“ÂF‘ÿ «oQÇcusŽ‘#ì,±fŽ‘)å«,‘„÷the“ÂP®9athŽ‘ˆD«isަnot–#put“onš¸ãto“the“Âv®9ectorŽ‘"ÍV·hÂShapQÇeŽ‘"·Ž‘'i“ÂPictureŽ‘)¿«::‘ÏelementsŽ‘'åÿ«,‘-and“consequen˜tly“nev˜er“reac˜hes“ÂPictureŽ‘)¿«::‘ÏoutputŽ‘D«(‘ª®)ަand‘UUÂP®9athŽ‘潫::‘ÏoutputŽ‘D«(‘ª®).ަ‘ -[¬LDF‘T2003.05.09.«]Ž‘WòŠRewrote–?¤this“function.‘7It“no¸ãw“calls“ÂP•®9oin“tŽ‘Ùð«::‘Ïextr‘ÿ}'actŽ‘Âs«(›ª®)“instead“of“calling“Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘H_ƒ«(˜)ަand‘U}Ïpr–ÿ}'oje“ctŽ‘!Ì‹«(‘ª®)–U}on“the“ÂP•®9oin“tsŽ‘&Î~«directly‘ÿ*ª.‘r?This“makš¸ães“m˜uc˜h“more“sense,‘U‡since“an˜y“c˜hanges“to“ÂP•®9oin“tŽ‘ïÉ«::‘Ïextr‘ÿ}'actŽ‘Âs«(‘ª®)ަwš¸ãould–UUotherwise“not“ha˜v˜e“bGeen“applied“to“ÂP•®9oin“tsŽ‘&Î.«on“ÂP®9athsŽ‘ oõ«.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·ަ‘ +[¬LDF‘T2003.05.09.«]Ž‘WòŠRewrote–?¤this“function.‘7It“no¸ãw“calls“ÂP•®9oin“tŽ‘Ùð«::‘Ïextr‘ÿ}'actŽ‘Âs«(›ª®)“instead“of“calling“Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘H_ƒ«(˜)ަand‘U}Ïpr–ÿ}'oje“ctŽ‘!Ì‹«(‘ª®)–U}on“the“ÂP•®9oin“tsŽ‘&Î~«directly‘ÿ*ª.‘r?This“makš¸ães“m˜uc˜h“more“sense,‘U‡since“an˜y“c˜hanges“to“ÂP•®9oin“tŽ‘ïÉ«::‘Ïextr‘ÿ}'actŽ‘Âs«(‘ª®)ަwš¸ãould–UUotherwise“not“ha˜v˜e“bGeen“applied“to“ÂP•®9oin“tsŽ‘&Î.«on“ÂP®9athsŽ‘ oõ«.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·ަ‘ Âv®9ectorŽ‘)ªI·hÂShapQÇeŽ‘"Ab·Ž‘'Aci‘UUÏextr‘ÿ}'actŽ‘"Ä«(ÂconstŽ‘*¢F‘ÿ -«oQÇcusŽ‘>uC«&Ž‘FuC«&Ž‘FuC«&Ž‘FQá·‘ø¦Ý"EnteringÈ ÝPath::set_Ž‘køjextremes()"Ž’©7W·‘ø¦Ïend‘‚ØlŽ‘ã·‘ø¦Ï ushŽ‘±¢«;‘±=·‘¹«If–sthere“are“no“ÂP•®9oin“tsŽ‘' ¦«onŽ¡‘<the‘UUÂP®9athŽ‘湫,–UUset“all“the“elemen¸ãts“of“Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘Z®û«to“ÝINVALID_REALŽ‘F0î«and“return“ÏfalseŽ‘™«.‘o·±=Ž¡‘ÂifŽ‘)´û«(Ïp‘ÿ}'ointsŽ‘$•±:ÏsizeŽ‘\«(‘ª¨)–Ç·“«0Ž‘Ç)‘·fŽ¡‘(Ïc‘ÿ}'errŽ‘?6·‘hŒÝ"ERROR!È ÝInÈ ÝPath::setŽ‘mhP_extremes():\n"Ž’Á·‘hŒÝ"points.size()È Ý<=È Ý0.Ž‘mhPÈ Ý"Ž‘|×>·Ž¡‘<Ý"SettingÈ ÝextremesÈ ÝtoŽ’¤ÿÊÈ ÝINVALID_REALÈ ÝandÈ ÝreŽ’ ÿŽturning.\n"Ž’K í·‘ÇÏ ushŽ‘€«;Ž¡‘(Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘~Ëm«=‘ÇÝINVALID_REALŽ‘BM\«;Ž¡‘(ÂreturnŽ‘Kæ¾ÏfalseŽ‘`–«;Ž¡‘·gŽŽŽŒ‹á &Ë Šn ý‘ì·x«843–­3DLDFPRÃŽG’®SET‘ÕXEXTREMES“«225Ž €n ý•@PÂ843.‘ ü«[¬LDF‘T2002.09.18.«]Ž‘YÍAdded–š=this“routine.‘3jSet“the“Ïminimum›^ «v‘ÿqÇalues“to“ÝMAX_REALŽ‘/ºÊ«and“the“Ïmaximum˜«v‘ÿqÇaluesޤ to‘èU·Ž‘ ¯sÝMAX_REALŽ‘65ë.‘*ÈThis›èUw•¸ãa“y‘ÿ*ª,‘ an“y˜v‘ÿqÇalid˜p•Gersp“ectiv¸ãe˜co“ordinates˜will˜replace˜them˜on˜the˜ rst˜iteration˜of˜theŽ¡ÂforŽ‘膫loGop.Ž¡‘ +Âb•QÇo“olŽ‘#¡gP®9athŽ‘=2Ï«::‘Ïset‘‰ffŽ‘®extr‘ÿ}'emesŽ‘7Á«(‘ª®)·f‘UUÂb•QÇo“olŽ‘ö»ÝDEBUGŽ‘:„,«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)Ž¡‘(Ïc‘ÿ}'outŽ‘>Qá·‘ø¦Ý"EnteringÈ ÝPath::set_Ž‘køjextremes()"Ž’©7W·‘ø¦Ïend‘‚ØlŽ‘ã·‘ø¦Ï ushŽ‘±¢«;‘±=·‘¹«If–sthere“are“no“ÂP•®9oin“tsŽ‘' ¦«onŽ¡‘<the‘UUÂP®9athŽ‘湫,–UUset“all“the“elemen¸ãts“of“Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘Z®û«to“ÝINVALID_REALŽ‘F0î«and“return“ÏfalseŽ‘™«.‘o·±=Ž¡‘ÂifŽ‘)´û«(Ïp‘ÿ}'ointsŽ‘$•±:ÏsizeŽ‘\«(‘ª¨)–Ç·“«0Ž‘Ç)‘·fŽ¡‘(Ïc‘ÿ}'errŽ‘?6·‘hŒÝ"ERROR!È ÝInÈ ÝPath::setŽ‘mhP_extremes():\n"Ž’Á·‘hŒÝ"points.size()È Ý<=È Ý0.Ž‘mhPÈ Ý"Ž‘|×>·Ž¡‘<Ý"SettingÈ ÝextremesÈ ÝtoŽ’¤ÿÊÈ ÝINVALID_REALÈ ÝandÈ ÝreŽ’ ÿŽturning.\n"Ž’K í·‘ÇÏ ushŽ‘€«;Ž¡‘(Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘~Ëm«=‘ÇÝINVALID_REALŽ‘BM\«;Ž¡‘(ÂreturnŽ‘Kæ¾ÏfalseŽ‘`–«;Ž¡‘·gŽŽŽŒ‹ã Ö Šn ý‘ì·x«843–­3DLDFPRÃŽG’®SET‘ÕXEXTREMES“«227Ž €n ý•@PÂ843.‘ ü«[¬LDF‘T2002.09.18.«]Ž‘YÍAdded–š=this“routine.‘3jSet“the“Ïminimum›^ «v‘ÿqÇalues“to“ÝMAX_REALŽ‘/ºÊ«and“the“Ïmaximum˜«v‘ÿqÇaluesޤ to‘èU·Ž‘ ¯sÝMAX_REALŽ‘65ë.‘*ÈThis›èUw•¸ãa“y‘ÿ*ª,‘ an“y˜v‘ÿqÇalid˜p•Gersp“ectiv¸ãe˜co“ordinates˜will˜replace˜them˜on˜the˜ rst˜iteration˜of˜theŽ¡ÂforŽ‘膫loGop.Ž¡‘ [¬LDF‘T2002.09.18.«]Ž‘X×WI›$ehad–$qsome“dicult¸ãy“debugging“this“bGecause“instead“of“using“·Ž‘ ëÝMAX_REALŽ‘5qß«,‘.9I˜de ned“andŽ¡used‘B1ÝMIN_REALŽ‘3[«=‘QÚÂn®9umericu½‰™šs4Ž‘ÔwlimitsŽ‘N@æ·hÂrealŽ‘]Ù·i‘«::Ž‘ŽBÏminŽ‘³W«(‘ª¨).‘8[Ho•¸ãw“ev“er,‘}hthis–B1isn't“the“negativ¸ãe“ÂrealŽ‘â;«with“the“largestŽ¡magnitude,–UUbut“the“smallest“pGositiv¸ãe“ÂrealŽ‘³.«.ŽŸ·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘^R«[0Ž‘]–Ç=“ÝMAX_REALŽ‘-Mh«;‘±=·‘ÿý«Minima.‘o·±=Ž¡‘ @@ -3053,7 +3090,7 @@ ÏiterŽ‘Ë«)±:Ïget‘‰ffŽ‘®zŽ‘«(Ý'p'Ž‘F_±;“ÏfalseŽ›Yì±;“ÏfalseŽ˜«));‘±=·–ÿý«Max‘UUz“·±=Ž¡‘ ·gŽ¡‘ ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘ÂforŽ‘%舫(Âin®9tŽ‘¤÷±iŽ‘Þ«=‘Ç0Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«6Ž“;‘ÿý±iŽ‘ññŸÿ®+‘ÿ+ŽŽ‘¹«)Ž¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"projective_extremesŽ‘kÆÜ["Ž‘y”V·‘DZiŽ‘ $·‘ÇÝ"]È Ý==È Ý"Ž‘*Ôƒ·‘ÇÏpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘VËi«[±iŽ‘qô«]–Ç·“Ïend‘‚ØlŽ‘ò·“Ï ushŽ‘€«;Ž¡‘ -·gŽŽŽŒ‹â 4µ Šn ý‘ì«226–­SET‘ÕXEXTREMES’®3DLDFPRÃŽG“·x«844Ž €n ý•@PÂ844.‘ ü«[¬LDF‘T2002.09.18.«]Ž‘[Å=Added–’\this“error“handling“coGde.‘(ÝThere“is“a“remote“c¸ãhance“that“a“v‘ÿqÇalid“ÂP•®9oin“tŽŽ¤ «could›Bha•¸ãv“e˜a˜coGordinate˜·˜ÝMAX_REALŽ‘3 +·gŽŽŽŒ‹ä -À Šn ý‘ì«228–­SET‘ÕXEXTREMES’®3DLDFPRÃŽG“·x«844Ž €n ý•@PÂ844.‘ ü«[¬LDF‘T2002.09.18.«]Ž‘[Å=Added–’\this“error“handling“coGde.‘(ÝThere“is“a“remote“c¸ãhance“that“a“v‘ÿqÇalid“ÂP•®9oin“tŽŽ¤ «could›Bha•¸ãv“e˜a˜coGordinate˜·˜ÝMAX_REALŽ‘3 „«or˜·Ž‘ 8ÝMIN_REALŽ‘6ˆ«,›}Kho“w“ev“er,˜it–Bis“virtually“impšGossible“that“it“w¸ãould“b˜eŽ¡pro‘Ž8jectable.‘Õ®If–v¢it's“the“x“or“y-coGordinate,‘~õit“wš¸ãould“probably“lie“outside“the“limits“de ned“for“the“in˜v˜oGcationŽ¡of‘7¬ÂPictureŽ‘*Ó½«::‘ÏoutputŽ‘D«(‘ª®),›pAand–7¬if“it“w¸ãas“the“±zŽ‘ NÊ«,˜it“w¸ãould“either“bšGe“b˜ehind“the“ÂF‘ÿ «oQÇcusŽ‘%d¤«or“so“far“a•¸ãw“a“y–7¬as“to“b˜eŽ¡practically›‹.in•¸ãvisible.‘SI‘ŠÞbGeliev“e˜that˜this˜is˜the˜case,‘ؤev“en˜though˜the˜z-coGordinates˜are˜made˜smaller˜b“yŽ¡applying–UUthe“equation“±zŸÿ´pŽ‘fj«=‘DZzp—=«(±z‘©w«+‘8à±p«).Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ ÂforŽ‘臫(Âin®9tŽ‘¤÷±iŽ‘Þ«=‘Ç0Ž–Ç;‘ÿý±iŽ› 9 <‘Ç«6Ž“;‘ÿý±iŽ˜«+=ŽŽ‘Ž]2Ž‘"Ž^)‘·fŽ¡‘ÂifŽ‘´ú«(Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘TQ«[±iŽ‘qô«]–Ç·“ÝMAX_REALŽ‘AMi±=·–ÿý«Minima“·±=Ž¡‘8â·_‘8àÏpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘V=1«[±iŽ‘ªÔ«+‘8à1Ž‘8á]–Ç·“Ž‘ @@ -3064,7 +3101,7 @@ ÂvirtualŽ‘/ÔinlineŽ‘OconstŽ‘mB¾v‘ÿ\ralarra®9yŽ’–œÿ·hÂrealŽ‘]Ù·i‘UUÏget‘‰ffŽ‘®extr‘ÿ}'emesŽ‘:™µ«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ’‹ë «;Ž¡‘ ·gŽŸÂ846.› üGet–ÕTminim®9um“z.˜«[¬LDF‘T2003.05.16.«]Ž‘Zˆ6Added–UUthis“function.ަ·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ -ÂvirtualŽ‘/ÔrealŽ‘FAÏget‘‰ffŽ–®minimum‘‰ffŽ“zŽ’‰žÚ«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹ã K Šn ý‘ì·x«847›­3DLDFPRÃŽG’´GET–ÕXMINIMUM“Z˜«227Ž €n ý•@PÂ847.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ +ÂvirtualŽ‘/ÔrealŽ‘FAÏget‘‰ffŽ–®minimum‘‰ffŽ“zŽ’‰žÚ«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹å D' Šn ý‘ì·x«847›­3DLDFPRÃŽG’´GET–ÕXMINIMUM“Z˜«229Ž €n ý•@PÂ847.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ ÂrealŽ‘ ³/P®9athŽ‘:D—«::‘Ïget‘‰ffŽ–®minimum‘‰ffŽ“zŽ‘D]Ü«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"EnteringÈ ÝPath::get_Ž‘kÆÜminimum_z()"Ž’®8·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"projective_extremesŽ‘kÆÜ[4]È Ý==È Ý"Ž’™D·‘ÇÏpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘VËi«[4Ž‘]–Ç·“Ïend‘‚ØlŽ‘ò·“Ï ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"ExitingÈ ÝPath::get_mŽ‘kÆÜinimum_z()"Ž’¨Ô;·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ÂreturnŽ‘7æ¼Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ’‹ë «[4Ž‘];Ž¡‘ ·gŽŸÂ848.› üGet–ÕTmaxim®9um“z.˜«[¬LDF‘T2002.09.17.«]Ž‘Zˆ6Added–UUthis“function.ަ·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ @@ -3076,19 +3113,19 @@ ÂrealŽ‘ ³/P®9athŽ‘:D—«::‘Ïget‘‰ffŽ–®me‘ÿ}'an‘‰ffŽ“zŽ‘1¶«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7漫((Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘TQ«[4Ž›]–8à+“Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘V=1«[5Ž˜])±=«2Ž˜);Ž¡‘ ·gŽŸÂ852.– üSuppress‘xÿoutput.“«[¬LDF‘T2002.09.18.«]Ž‘[ˆAdded–ã§this“function.‘½It's“needed“bGecause“trying“to“erase“aŽ¡ÂShapQÇeŽ‘"Ab·Ž‘*–¸«from‘UUÏelementsŽ‘-¥«in‘UUÂPictureŽ‘)ñf«::‘ÏoutputŽ‘D«(‘ª®)–UUcauses“a“memory“fault.ަ·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ -ÂvirtualŽ‘/Ôv®9oidŽ‘H‹¬Ïsuppr‘ÿ}'ess‘‰ffŽ‘®outputŽ’r.«(‘ª®);ŽŽŽŒ‹ä W‰ Šn ý‘ì«228–­SUPPRESS‘ÕXOUTPUT’eø3DLDFPRÃŽG“·x«853Ž €n ý•@PÂ853.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ +ÂvirtualŽ‘/Ôv®9oidŽ‘H‹¬Ïsuppr‘ÿ}'ess‘‰ffŽ‘®outputŽ’r.«(‘ª®);ŽŽŽŒ‹æ P” Šn ý‘ì«230–­SUPPRESS‘ÕXOUTPUT’eø3DLDFPRÃŽG“·x«853Ž €n ý•@PÂ853.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙP®9athŽ‘‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.01.15.«]Ž‘YËIAdded–ccoGde“for“writing“\dra•¸ãw“arro“w"–cto“Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘3Xÿ«,‘I'if“Ïarr‘ÿ}'owŽ‘"„â·‘ /ÏtrueŽ‘ÐÇ«.‘ºòThis“is“for“theŽ¡Ïdr–ÿ}'awarr“owŽ‘.òÄ«(‘ª®)–UUfunctions“for“ÂP®9athŽ‘<«and“ÂP•®9oin“tŽ‘"Dò«that“I'vš¸ãe“added“toGda˜y‘ÿ*ª.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ +·gŽŸÂ856.– üOutput.“«[¬LDF‘T2002.09.17.«]Ž‘Z Remo•¸ãv“ed–Ñ+error“c•¸ãhec“king–Ñ+coGde“to“Ïextr‘ÿ}'actŽ‘!“š«(›ª®).‘E¹No¸ãw“ÏoutputŽ‘àk«(˜)“assumes“thatŽ¡all–¹Šof“the“ÂP•®9oin“tsŽ‘%–˜«in“Ïp‘ÿ}'ointsŽ‘ —©«can“bšGe“pro‘Ž8jected“using“Ïfo‘ÿ}'cusŽ‘Ç_«.‘=ÙIf“they“can't“b˜e,‘سÏextr‘ÿ}'actŽ‘!›"«(‘ª®)“will“already“ha•¸ãv“e‘¹ŠensuredŽ¡that–UUthe“ÂP®9athŽ‘<«is“not“on“Âv®9ectorŽ‘"ÿ·hÂShapQÇeŽ‘"Ab·Ž‘'Aci“ÏelementsŽ‘-¥«in“the“ÂPictureŽ‘(ñb«.ŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.01.15.«]Ž‘YËIAdded–ccoGde“for“writing“\dra•¸ãw“arro“w"–cto“Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘3Xÿ«,‘I'if“Ïarr‘ÿ}'owŽ‘"„â·‘ /ÏtrueŽ‘ÐÇ«.‘ºòThis“is“for“theŽ¡Ïdr–ÿ}'awarr“owŽ‘.òÄ«(‘ª®)–UUfunctions“for“ÂP®9athŽ‘<«and“ÂP•®9oin“tŽ‘"Dò«that“I'vš¸ãe“added“toGda˜y‘ÿ*ª.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ ÂvirtualŽ‘/Ôv®9oidŽ‘H‹¬ÏoutputŽ‘ešì«(‘ª®);ŽŸÂ857.ަ·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ -Âv®9oidŽ‘"ýÙP®9athŽ‘È ÝtoÈ ÝcoŽ’ÿÈntinue.\n"Ž’ÈÍ*·‘ÇÏ ushŽ‘€«;Ž¡‘ÏgetcharŽ‘5%þ«(‘ª®);Ž¡‘Ïc‘ÿ}'errŽ‘*SI·‘¡Ý"WARNING!È ÝInÈ ÝPath::oŽ‘leutput():\n"Ž’ªM·‘¡Ý"PathÈ Ýdoesn'tÈ ÝcontaiŽ‘lenÈ ÝanyÈ ÝPoints.\n"Ž’ÄÁ>·Ž¡‘(Ý"NotÈ ÝdoingÈ Ýanything.Ž’ÿÈ\n\n"Ž’®9·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘4‘g«;Ž¡‘ -·gŽŽŽŒ‹æ mÔ Šn ý‘ì«230–­OUTPUT’=\03DLDFPRÃŽG“·x«859Ž €n ý•@PÂ859.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ +·gŽŽŽŒ‹è f´ Šn ý‘ì«232–­OUTPUT’=\03DLDFPRÃŽG“·x«859Ž €n ý•@PÂ859.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ Âv®9ectorŽ‘)ªI·hÂP•®9oin“tŽ‘ï·Ž‘#ïži‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7p‘ÿ}'oint‘‰ffŽ‘®iterŽ‘V’:«=‘ÇÏp‘ÿ}'ointsŽ‘ë­±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ Âv®9ectorŽ‘)ªI·hÂstringŽ‘Ïø·i‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7c–ÿ}'onne“ctor‘‰ffŽ‘®iterŽ‘j¡Ó«=‘ÇÏc–ÿ}'onne“ctorsŽ‘1ûF±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);ަ‘ ÂstringŽ‘+%NÏc–ÿ}'onne“ctor‘‰ffŽ‘®stringŽ‘rëÊ«;ަ‘ @@ -3107,8 +3144,8 @@ ·h–ª¨«Output‘UUÂP®9athŽ‘ &½­864“·iŽ¡‘ Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘<µ·‘ÇÝ"È ÝwithcolorÈ Ý"Ž‘JTq·‘ÇŽ‘ÇÏ l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorŽ‘-_n«;Ž¡‘ Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘<µ·‘ÇÝ";\n"Ž‘ T‰·‘ÇÏ ushŽ‘€«;Ž¡‘ -Ïp‘ÿ}'oint‘‰ffŽ‘®iterŽ‘6ù«=‘ÇÏp‘ÿ}'ointsŽ‘ë­±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);ŽŽŽŒ‹ç sl Šn ý‘ì·x«860–­3DLDFPRÃŽG’=\0OUTPUT“«231Ž €n ý•@PÂ860.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ -«[¬LDF‘T2002.05.10.«]Ž‘X_Added–`ythe“coGde“in“this“section.› )It“ xes“a“bug.˜If“it's“not“done,‘‘rthen“the“correct“connectorsŽ¡are–UUnot“used“when“the“ÂP®9athŽ‘<«is“output“the“second“time.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ +Ïp‘ÿ}'oint‘‰ffŽ‘®iterŽ‘6ù«=‘ÇÏp‘ÿ}'ointsŽ‘ë­±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);ŽŽŽŒ‹é lL Šn ý‘ì·x«860–­3DLDFPRÃŽG’=\0OUTPUT“«233Ž €n ý•@PÂ860.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¤ ‘ +«[¬LDF‘T2002.05.10.«]Ž‘X_Added–`ythe“coGde“in“this“section.› )It“ xes“a“bug.˜If“it's“not“done,‘‘rthen“the“correct“connectorsŽ¡are–UUnot“used“when“the“ÂP®9athŽ‘<«is“output“the“second“time.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ Ïc–ÿ}'onne“ctor‘‰ffŽ‘®iterŽ‘K«=‘ÇÏc–ÿ}'onne“ctorsŽ‘1ûF±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ ÂifŽ‘´ù«(Ïc–ÿ}'onne“ctorsŽ‘/4.±:ÏsizeŽ‘\«(‘ª¨)–DZ>“«0Ž›Ç)‘Ïc–ÿ}'onne“ctor‘‰ffŽ‘®stringŽ‘O”«=“·Ž˜Ïc–ÿ}'onne“ctor‘‰ffŽ‘®iterŽ‘FˆŸÿ®+‘ÿ+ŽŽ‘RO½«;Ž¡‘ ÂelseŽ‘!ØàÏc–ÿ}'onne“ctor‘‰ffŽ‘®stringŽ‘lft«=‘ÇÝ"--"Ž‘Mt«;ŽŸÂ861.ŽŸ·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ @@ -3119,30 +3156,30 @@ ÂifŽ‘´ù«(Ïdashe‘ÿ}'dŽ– ñ¹·6«=‘ÇÝ""Ž‘ Íz«)‘Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘7´·‘ÇÝ"È ÝdashedÈ Ý"Ž‘:”z·‘ÇÏdashe‘ÿ}'dŽ“«;Ž¡‘ ÂifŽ‘´ù«(Ïp‘ÿ}'enŽ–àË·6«=‘ÇÝ""Ž‘ Íz«)‘Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘7´·‘ÇÝ"È ÝwithpenÈ Ý"Ž‘?Ôw·‘ÇÏp‘ÿ}'enŽ“«;Ž¡‘ Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘<µ·‘ÇÝ";\n"Ž‘ T‰·‘ÇÏ ushŽ‘€«;–UU·g“gŽ¡‘ -ÂelseŽŽ¡‘ifŽ‘´ú«(Ï l‘‚Øl‘‰ffŽ–®dr‘ÿ}'aw‘‰ffŽ“valueŽ‘As)·‘ÇÝUNDRAWŽ‘"Ín«)‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"Undrawing.\n"Ž‘O”n·‘ÇÏ ushŽ‘€«;Ž¡‘Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘P··‘ÇÝ"undrawÈ Ý"Ž‘5T}·‘ÇŽ‘ÇŽ‘ ÇÏp‘ÿ}'oint‘‰ffŽ‘®iterŽ‘7yŸÿ®+‘ÿ+ŽŽ‘C@%«;Ž¡‘·h–ª¨«Output‘UUÂP®9athŽ‘ &½­864“·iŽ¡‘ÂifŽ‘)´û«(Ïdashe‘ÿ}'dŽ– ñ¹·6«=‘ÇÝ""Ž‘ Íz«)‘Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘7´·‘ÇÝ"È ÝdashedÈ Ý"Ž‘:”z·‘ÇÏdashe‘ÿ}'dŽ“«;Ž¡‘ÂifŽ‘)´û«(Ïp‘ÿ}'enŽ–àË·6«=‘ÇÝ""Ž‘ Íz«)‘Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘7´·‘ÇÝ"È ÝwithpenÈ Ý"Ž‘?Ôw·‘ÇÏp‘ÿ}'enŽ“«;Ž¡‘Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘P··‘ÇÝ";\n"Ž‘ T‰·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ï l‘‚Øl‘‰ffŽ–®dr‘ÿ}'aw‘‰ffŽ“valueŽ‘As)·‘ÇÝUNFILLŽ‘"Ín«)‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"Unfilling.\n"Ž‘O”n·‘ÇÏ ushŽ‘€«;Ž¡‘Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘P··‘ÇÝ"unfillÈ Ý"Ž‘5T}·‘ÇŽ‘ÇŽ‘ ÇÏp‘ÿ}'oint‘‰ffŽ‘®iterŽ‘7yŸÿ®+‘ÿ+ŽŽ‘C@%«;Ž¡‘·h–ª¨«Output‘UUÂP®9athŽ‘ &½­864“·iŽ¡‘Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘P··‘ÇÝ";\n"Ž‘ T‰·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽŽŽŒ‹è †„ Šn ý‘ì«232–­OUTPUT’=\03DLDFPRÃŽG“·x«862Ž €n ý•@PÂ862.‘ ü«Filldra¸ãw‘UUcase.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ -«[¬LDF‘T2003.03.25.«]Ž‘[ WChanged–Yqthis“section,›Úxso“that“the“outline“of“the“ÂP®9athŽ‘#DF«is“dra¸ãwn,˜if“Ïdr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘:hí·6«=Ž¡ÂColorsŽ‘!ØÞ«::Ž‘(gÏb–ÿ}'ackgr“ound‘‰ffŽ‘®c“olorŽ‘r«t«.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ -ÂelseŽŽ¡‘ifŽ‘´ú«(Ï l‘‚Øl‘‰ffŽ–®dr‘ÿ}'aw‘‰ffŽ“valueŽ‘As)·‘ÇÝUNFILLDRAWŽ‘7Íb«)‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"Unfilldrawing.\n"Ž‘d”b·‘ÇÏ ushŽ‘€«;Ž¡‘ÂifŽ‘)´û«(Ïdr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘1³Q·‘ÇÂColorsŽ‘$Ÿö«::Ž‘+.4Ïb–ÿ}'ackgr“ound‘‰ffŽ‘®c“olorŽ‘urŒ«)‘·fŽ¡‘(Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘Z¸·‘ÇÝ"unfilldrawÈ Ý"Ž‘JTq·‘ÇŽ‘ÇŽ‘ ÇÏp‘ÿ}'oint‘‰ffŽ‘®iterŽ‘7yŸÿ®+‘ÿ+ŽŽ‘C@%«;Ž¡‘(·h–ª¨«Output‘UUÂP®9athŽ‘ &½­864“·iŽ¡‘(ÂifŽ‘3´ü«(Ïdashe‘ÿ}'dŽ– ñ¹·6«=‘ÇÝ""Ž‘ Íz«)‘Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘7´·‘ÇÝ"È ÝdashedÈ Ý"Ž‘:”z·‘ÇÏdashe‘ÿ}'dŽ“«;Ž¡‘(ÂifŽ‘3´ü«(Ïp‘ÿ}'enŽ–àË·6«=‘ÇÝ""Ž‘ Íz«)‘Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘7´·‘ÇÝ"È ÝwithpenÈ Ý"Ž‘?Ôw·‘ÇÏp‘ÿ}'enŽ“«;Ž¡‘(Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘Z¸·‘ÇÝ";\n"Ž‘ T‰·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ÂelseŽ‘5Øâ·fŽ¡‘(Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘Z¸·‘ÇÝ"unfillÈ Ý"Ž‘5T}·‘ÇŽ‘ÇŽ‘ ÇÏp‘ÿ}'oint‘‰ffŽ‘®iterŽ‘7yŸÿ®+‘ÿ+ŽŽ‘C@%«;Ž¡‘(·h–ª¨«Output‘UUÂP®9athŽ‘ &½­864“·iŽ¡‘(Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘Z¸·‘ÇÝ";\n"Ž‘ T‰·‘ÇÏ ushŽ‘€«;Ž¡‘(Ïp‘ÿ}'oint‘‰ffŽ‘®iterŽ‘Tù«=‘ÇÏp‘ÿ}'ointsŽ‘ë­±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘(Ïc–ÿ}'onne“ctor‘‰ffŽ‘®iterŽ‘i «=‘ÇÏc–ÿ}'onne“ctorsŽ‘1ûF±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘(ÂifŽ‘3´ü«(Ïc–ÿ}'onne“ctorsŽ‘/4.±:ÏsizeŽ‘\«(‘ª¨)–DZ>“«0Ž›Ç)‘Ïc–ÿ}'onne“ctor‘‰ffŽ‘®stringŽ‘O”«=“·Ž˜Ïc–ÿ}'onne“ctor‘‰ffŽ‘®iterŽ‘FˆŸÿ®+‘ÿ+ŽŽ‘RO½«;Ž¡‘(ÂelseŽ‘?ØãÏc–ÿ}'onne“ctor‘‰ffŽ‘®stringŽ’Šfw«=‘ÇÝ"--"Ž‘Mt«;Ž¡‘(Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘Z¸·‘ÇÝ"drawÈ Ý"Ž‘*Ôƒ·‘ÇŽ‘ÇŽ‘ ÇÏp‘ÿ}'oint‘‰ffŽ‘®iterŽ‘7yŸÿ®+‘ÿ+ŽŽ‘C@%«;Ž¡‘(·h–ª¨«Output‘UUÂP®9athŽ‘ &½­864“·iŽ¡‘(ÂifŽ‘3´ü«(Ïdr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘1³Q·6«=‘ÇÂColorsŽ‘$Ÿö«::Ž‘+.4Ïdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘bª«)‘Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘7´·‘ÇÝ"È ÝwithcolorÈ Ý"Ž‘JTq·‘ÇŽ‘ÇÏdr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘6³R«;Ž¡‘(ÂifŽ‘3´ü«(Ïdashe‘ÿ}'dŽ– ñ¹·6«=‘ÇÝ""Ž‘ Íz«)‘Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘7´·‘ÇÝ"È ÝdashedÈ Ý"Ž‘:”z·‘ÇÏdashe‘ÿ}'dŽ“«;Ž¡‘(ÂifŽ‘3´ü«(Ïp‘ÿ}'enŽ–àË·6«=‘ÇÝ""Ž‘ Íz«)‘Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘7´·‘ÇÝ"È ÝwithpenÈ Ý"Ž‘?Ôw·‘ÇÏp‘ÿ}'enŽ“«;Ž¡‘(Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘Z¸·‘ÇÝ";\n"Ž‘ T‰·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘g‘±=·‘ÿý«End–UUof“ÝUNFILLDRAWŽ‘;°ô«case.‘qÇ[¬LDF‘T2003.03.25.«]Ž‘U$©·±=ŽŽŽŒ‹é “€ Šn ý‘ì·x«863–­3DLDFPRÃŽG’=\0OUTPUT“«233Ž €n ý•@PÂ863.‘ ü«Default‘UUcase.‘qÇ[¬LDF‘T2003.03.25.«]ŽŽŸ·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ +ÂelseŽŽ¡‘ifŽ‘´ú«(Ï l‘‚Øl‘‰ffŽ–®dr‘ÿ}'aw‘‰ffŽ“valueŽ‘As)·‘ÇÝUNDRAWŽ‘"Ín«)‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"Undrawing.\n"Ž‘O”n·‘ÇÏ ushŽ‘€«;Ž¡‘Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘P··‘ÇÝ"undrawÈ Ý"Ž‘5T}·‘ÇŽ‘ÇŽ‘ ÇÏp‘ÿ}'oint‘‰ffŽ‘®iterŽ‘7yŸÿ®+‘ÿ+ŽŽ‘C@%«;Ž¡‘·h–ª¨«Output‘UUÂP®9athŽ‘ &½­864“·iŽ¡‘ÂifŽ‘)´û«(Ïdashe‘ÿ}'dŽ– ñ¹·6«=‘ÇÝ""Ž‘ Íz«)‘Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘7´·‘ÇÝ"È ÝdashedÈ Ý"Ž‘:”z·‘ÇÏdashe‘ÿ}'dŽ“«;Ž¡‘ÂifŽ‘)´û«(Ïp‘ÿ}'enŽ–àË·6«=‘ÇÝ""Ž‘ Íz«)‘Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘7´·‘ÇÝ"È ÝwithpenÈ Ý"Ž‘?Ôw·‘ÇÏp‘ÿ}'enŽ“«;Ž¡‘Ïout‘‰ffŽ‘®str–ÿ}'e“amŽ‘P··‘ÇÝ";\n"Ž‘ T‰·‘ÇÏ 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+ÂvirtualŽ‘/Ôb•QÇo“olŽ‘I/:Ïis‘‰ffŽ‘®planarŽ‘qUÉ«(Âb•QÇo“olŽ‘¡fÏverb‘ÿ}'oseŽ‘<ùÛ«=‘ÇÏfalseŽ‘v\±;‘ª¨ÂstringŽ‘"ÏõÏtextŽ‘6îÙ«=‘ÇÝ""Ž‘ Íz«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹ï Ä< Šn ý‘ì·x«873–­3DLDFPRÃŽG’3´TIS‘ÕXPLANAR“«239Ž €n ý•@PÂ873.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ Âb•QÇo“olŽ‘#¡gP®9athŽ‘=2Ï«::‘Ïis‘‰ffŽ‘®planarŽ‘)&“«(Âb•QÇo“olŽ‘¡fÏverb‘ÿ}'oseŽ‘:2ñ;‘ª¨ÂstringŽ‘"ÏõÏtextŽ‘4'Á«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝVERBOSE_GLOBALŽ‘J>«)‘Ïverb‘ÿ}'oseŽ‘(Xu«=‘ÇÏtrueŽ‘‹°«;Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÿ9·_‘8àÏverb‘ÿ}'oseŽ‘"Ê=«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝPath::is_pŽ‘kÆÜlanar().\n"Ž’¦ #«;ަ‘ÂP•®9oin“tŽ‘2pŽ‘7÷Ÿ«(Ïget‘‰ffŽ‘®normalŽ‘0Št«(‘ª®));ަ‘ÂifŽ‘´ú«(±pŽ‘Ï·‘ÇÝINVALID_POINTŽ‘GY«)‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝPath::is_plŽ‘kÆÜanar().È ÝReturningÈ ÝfaŽ’ÔÆ lse.\n\n"Ž’T·‘ÇÏ ushŽ‘€«;Ž¡‘ÂifŽ‘)´û«(Ïverb‘ÿ}'oseŽ‘ ‘]«)‘·fŽ¡‘(ÂifŽ‘3´ü«(Ïtextޑ䷑ÇÝ""Ž‘ Íz«)‘ÏtextŽ‘ä«=‘ÇÝ"Path"Ž‘"Ín«;Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÏtextŽ‘åü·‘ÇÝ"È ÝisÈ Ýnon-planar.\n\nŽ‘kÆÜ"Ž‘qA«;Ž¡‘·gŽ¡‘ÂreturnŽ‘Aæ½ÏfalseŽ‘V–«;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(±pŽ‘Ï·‘ÇÏoriginŽ‘½9«)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘3|Á·‘ÇÝ"WARNING!È ÝInÈ ÝPath::iŽ‘kÆÜs_planar():\n"Ž’¸”2·‘ÇÝ"PathÈ ÝisÈ Ýlinear.È ÝReŽ‘kÆÜturningÈ Ýtrue.\n\n"Ž’Í”&·Ž¡‘2Ï ushŽ‘G¹«;Ž¡‘ÂifŽ‘)´û«(Ïverb‘ÿ}'oseŽ‘ ‘]«)‘·fŽ¡‘(ÂifŽ‘3´ü«(Ïtextޑ䷑ÇÝ""Ž‘ Íz«)‘ÏtextŽ‘ä«=‘ÇÝ"Path"Ž‘"Ín«;Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÏtextŽ‘åü·‘ÇÝ"È ÝisÈ Ýplanar.\n\n"Ž‘\M«;Ž¡‘·gŽ¡‘ÂreturnŽ‘Aæ½ÏtrueŽ‘T«U«;Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘ÂifŽ‘)´û«(Ïverb‘ÿ}'oseŽ‘ ‘]«)‘·fŽ¡‘(ÂifŽ‘3´ü«(Ïtextޑ䷑ÇÝ""Ž‘ Íz«)‘ÏtextŽ‘ä«=‘ÇÝ"Path"Ž‘"Ín«;Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÏtextŽ‘åü·‘ÇÝ"È ÝisÈ Ýplanar.\n\n"Ž‘\M«;Ž¡‘·gŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝPath::is_plŽ‘kÆÜanar().È ÝReturningÈ ÝtrŽ’ÔÆ ue.\n\n"Ž’·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½ÏtrueŽ‘T«U«;Ž¡‘·gŽ¡‘ -gŽŸÂ874.– üIs‘þ“linear.“«[¬LDF‘T2003.04.09.«]Ž‘Z¬Ïis‘‰ffŽ‘®line‘ÿ}'arŽ‘Á‘«(‘ª®)–y3 rst“c•¸ãhec“ks–y3whether“Ïline‘‰ffŽ‘®switchŽ‘6•'«is“ÏtrueŽ‘=Ë«.‘ÝaIf“it“is,‘‚+it“returnsŽ¡ÏtrueŽ‘Á«righ•¸ãt›<)a“w“a“y‘ÿ*ª.‘icOtherwise,‘A2it˜uses˜the˜return˜v‘ÿqÇalue˜of˜Ïget‘‰ffŽ‘®normalŽ‘3Æ«(‘ª®)˜to˜determine˜whether˜·Ž‘<*ÏthisŽ‘d «is˜linear˜orŽ¡not.‘qÇIf–UUit“is,“Ïis‘‰ffŽ‘®line‘ÿ}'arŽ‘(jÒ«(‘ª®)“returns“ÏtrueŽ‘í«,“otherwise,“it“returns“ÏfalseŽ‘™«.ŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +gŽŸÂ874.– üIs‘þ“linear.“«[¬LDF‘T2003.04.09.«]Ž‘Z¬Ïis‘‰ffŽ‘®line‘ÿ}'arŽ‘Á‘«(‘ª®)–y3 rst“c•¸ãhec“ks–y3whether“Ïline‘‰ffŽ‘®switchŽ‘6•'«is“ÏtrueŽ‘=Ë«.‘ÝaIf“it“is,‘‚+it“returnsŽ¡ÏtrueŽ‘Á«righ•¸ãt›<)a“w“a“y‘ÿ*ª.‘icOtherwise,‘A2it˜uses˜the˜return˜v‘ÿqÇalue˜of˜Ïget‘‰ffŽ‘®normalŽ‘3Æ«(‘ª®)˜to˜determine˜whether˜·Ž‘<*ÏthisŽ‘d «is˜linear˜orŽ¡not.‘qÇIf–UUit“is,“Ïis‘‰ffŽ‘®line‘ÿ}'arŽ‘(jÒ«(‘ª®)“returns“ÏtrueŽ‘í«,“otherwise,“it“returns“ÏfalseŽ‘™«.ŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.11.05.«]Ž‘Y;Added–UUthis“function.Ž¡‘ [¬LDF‘T2002.11.06.«]Ž‘YCvAdded–optional“ÂconstŽ‘!ömb•QÇo“olŽ‘;ÓÏverb‘ÿ}'oseŽ‘_ôû«and“ÂstringŽ‘$ñÏtextŽ‘9Ùt«argumen¸ãts“for“writing“a“messageŽ¡to–UUthe“standard“output.Ž¡‘ [¬LDF‘T2003.04.09.«]Ž‘YþØNo•¸ãw›Kòc“hec“king˜whether˜Ïline‘‰ffŽ‘®switchŽ‘8:¥«is˜ÏtrueŽ‘\|«bGefore˜calling˜Ïget‘‰ffŽ‘®normalŽ‘4Öf«(‘ª®).–Už!!“If˜a˜ÂP®9athŽŽ¡«whose‘ûÏline‘‰ffŽ‘®switchŽ‘9+·‘êÔÏtrueŽ‘Mg«is–ûmoGdi ed“sucš¸ãh“that“it's“no“longer“linear,‘ð$the“programmer“m˜ust“ensure“thatŽ¡Ïline‘‰ffŽ‘®switchŽ‘2ø«is–UUset“to“ÏfalseŽ‘™«!Ž¡‘ -[¬LDF‘T2003.08.14.«]Ž‘Y;Made‘UUÏverb‘ÿ}'oseŽ‘'<«non-ÂconstŽ‘ÕM«.‘qÇSetting–UUit“to“ÏtrueŽ‘oB«if“ÝVERBOSE_GLOBALŽ‘P°è«is“ÏtrueŽ‘í«.Ž¡Added‘UUÝVERBOSE_GLOBALŽ‘P°è«to–UUÈpspglb.web“«toGda¸ãy‘ÿ*ª.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ -Âb•QÇo“olŽ‘#¡gÏis‘‰ffŽ‘®line‘ÿ}'arŽ‘H¶ä«(Âb•QÇo“olŽ‘¡fÏverb‘ÿ}'oseŽ‘<ùÛ«=‘ÇÏfalseŽ‘v\±;‘ª¨ÂstringŽ‘"ÏõÏtextŽ‘6îÙ«=‘ÇÝ""Ž‘ Íz«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹î ×ù Šn ý‘ì«238–­IS‘ÕXLINEAR’73DLDFPRÃŽG“·x«875Ž €n ý•@PÂ875.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ +[¬LDF‘T2003.08.14.«]Ž‘Y;Made‘UUÏverb‘ÿ}'oseŽ‘'<«non-ÂconstŽ‘ÕM«.‘qÇSetting–UUit“to“ÏtrueŽ‘oB«if“ÝVERBOSE_GLOBALŽ‘P°è«is“ÏtrueŽ‘í«.Ž¡Added‘UUÝVERBOSE_GLOBALŽ‘P°è«to–UUÈpspglb.web“«toGda¸ãy‘ÿ*ª.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ +Âb•QÇo“olŽ‘#¡gÏis‘‰ffŽ‘®line‘ÿ}'arŽ‘H¶ä«(Âb•QÇo“olŽ‘¡fÏverb‘ÿ}'oseŽ‘<ùÛ«=‘ÇÏfalseŽ‘v\±;‘ª¨ÂstringŽ‘"ÏõÏtextŽ‘6îÙ«=‘ÇÝ""Ž‘ Íz«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹ð РŠn ý‘ì«240–­IS‘ÕXLINEAR’73DLDFPRÃŽG“·x«875Ž €n ý•@PÂ875.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ Âb•QÇo“olŽ‘#¡gP®9athŽ‘=2Ï«::‘Ïis‘‰ffŽ‘®line‘ÿ}'arŽ‘&«(Âb•QÇo“olŽ‘¡fÏverb‘ÿ}'oseŽ‘:2ñ;‘ª¨ÂstringŽ‘"ÏõÏtextŽ‘4'Á«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝVERBOSE_GLOBALŽ‘J>«)‘Ïverb‘ÿ}'oseŽ‘(Xu«=‘ÇÏtrueŽ‘‹°«;Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÿ9·_‘8àÏverb‘ÿ}'oseŽ‘"Ê=«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝPath::is_lŽ‘kÆÜinear().\n"Ž’¦ #«;Ž¡‘ÂifŽ‘´ú«(Ïline‘‰ffŽ‘®switchŽ‘/¢Á«)‘±=·‘ÿý«LDF–UU2003.04.09.‘qÇAdded“this“conditional.‘o·±=Ž¡‘ÂreturnŽ‘Aæ½ÏtrueŽ‘T«U«;ަ‘ÂP•®9oin“tŽ‘2pŽ‘7÷Ÿ«(Ïget‘‰ffŽ‘®normalŽ‘0Št«(‘ª®));ަ‘ÂifŽ‘´ú«(±pŽ‘Ï·‘ÇÏoriginŽ‘½9«)‘·fŽ¡‘ÂifŽ‘)´û«(Ïverb‘ÿ}'oseŽ‘ ‘]«)‘·fŽ¡‘(ÂifŽ‘3´ü«(Ïtextޑ䷑ÇÝ""Ž‘ Íz«)‘ÏtextŽ‘ä«=‘ÇÝ"Path"Ž‘"Ín«;Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÏtextŽ‘åü·‘ÇÝ"È ÝisÈ Ýlinear.\n\n"Ž‘\M«;Ž¡‘·gŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝPath::is_liŽ‘kÆÜnear().È Ý"Ž’žTA·‘ÇÝ"ReturningÈ Ýtrue.\n\nŽ‘kÆÜ"Ž‘tTY·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½ÏtrueŽ‘T«U«;Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘ÂifŽ‘)´û«(Ïverb‘ÿ}'oseŽ‘ ‘]«)‘·fŽ¡‘(ÂifŽ‘3´ü«(Ïtextޑ䷑ÇÝ""Ž‘ Íz«)‘ÏtextŽ‘ä«=‘ÇÝ"Path"Ž‘"Ín«;Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÏtextŽ‘åü·‘ÇÝ"È ÝisÈ Ýnon-linear.\n\nŽ‘kÆÜ"Ž‘qA«;Ž¡‘·gŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝPath::is_liŽ‘kÆÜnear().È Ý"Ž’žTA·‘ÇÝ"ReturningÈ Ýfalse.\n\Ž‘kÆÜn"Ž‘y”V·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½ÏfalseŽ‘V–«;Ž¡‘·gŽ¡‘ gŽŸÂ876.› üGet–$line“switc®9h.˜«[¬LDF‘T2002.11.03.«]Ž‘ZÍThis–š9function“returns“ÏtrueŽ‘ù -«for“ÂP®9athsŽ‘$O«that“are“created“or“setŽ¡using›UUt•¸ãw“o˜ÂP•®9oin“tsŽ‘&Î.«only‘ÿ*ª,˜and˜no˜connectors,˜as˜argumen“ts.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.11.03.«]Ž‘XIúRenamed–—this“function“Ïget‘‰ffŽ–®line‘‰ffŽ“switchŽ‘Bm‘«(›ª®)“from“Ïis‘‰ffŽ‘®lineŽ‘ˆS«(˜).‘2\AbGout“to“add“Ïis‘‰ffŽ‘®line‘ÿ}'arŽ‘'¬‘«(˜),‘½!whic¸ãhŽ¡will–UUtest“whether“all“the“ÂP•®9oin“tsŽ‘&Î.«are“colinear“or“not.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ +«for“ÂP®9athsŽ‘$O«that“are“created“or“setŽ¡using›UUt•¸ãw“o˜ÂP•®9oin“tsŽ‘&Î.«only‘ÿ*ª,˜and˜no˜connectors,˜as˜argumen“ts.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.11.03.«]Ž‘XIúRenamed–—this“function“Ïget‘‰ffŽ–®line‘‰ffŽ“switchŽ‘Bm‘«(›ª®)“from“Ïis‘‰ffŽ‘®lineŽ‘ˆS«(˜).‘2\AbGout“to“add“Ïis‘‰ffŽ‘®line‘ÿ}'arŽ‘'¬‘«(˜),‘½!whic¸ãhŽ¡will–UUtest“whether“all“the“ÂP•®9oin“tsŽ‘&Î.«are“colinear“or“not.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ ÂinlineŽ‘)ŠIb•QÇo“olŽ‘C+¯Ïget‘‰ffŽ–®line‘‰ffŽ“switchŽ’ƒ,«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïline‘‰ffŽ‘®switchŽ‘g‰}«;Ž¡‘ ·gŽŸÂ877.‘ üT‘ÿ «est–ÕTfor“cycles.ަ·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ ÂinlineŽ‘)ŠIb•QÇo“olŽ‘C+¯Ïis‘‰ffŽ‘®cycleŽ‘dzÇ«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïcycle‘‰ffŽ‘®switchŽ‘lçV«;Ž¡‘ -·gŽŸÂ878.‘ üSize›ÕT(n•®9um“b•QÇer˜of˜p“oin®9ts).ަ·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·ŽŽŽŒ‹ï ç, Šn ý‘ì·x«878›­3DLDFPRÃŽG’í}PSIZE–ÕX(NUMBER“OF“POINTS)˜«239Ž €n ý•@P‘ +·gŽŸÂ878.‘ üSize›ÕT(n•®9um“b•QÇer˜of˜p“oin®9ts).ަ·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·ŽŽŽŒ‹ñ ß + Šn ý‘ì·x«878›­3DLDFPRÃŽG’í}PSIZE–ÕX(NUMBER“OF“POINTS)˜«241Ž €n ý•@P‘ ÂinlineŽ‘)ŠIin®9tŽ‘;/@ÏsizeŽ‘LJœ«(‘ª®)ޤ ‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïp‘ÿ}'ointsŽ‘S Q±:ÏsizeŽ‘\«(‘ª¨);Ž¡‘ -·gŽ©Â879.– üSlopQÇe.“«[¬LDF‘T2002.11.05.«]Ž‘\OÊÏslop‘ÿ}'eŽ‘r‡•«(‘ª®)–écan“only“bGe“used“for“linear“ÂP®9athsŽ‘"7‰«.‘ ȃIt“returns“a“ÂrealŽ‘—««v‘ÿqÇalueŽ¡represenš¸ãting–ƒthe“slopGe“of“the“Ïtr–ÿ}'ac“e‘Cl«of–ƒa“line“on“the“ma‘Ž8jor“plane“represen˜ted“b˜y“the“Âc®9harŽ‘«argumen˜ts,‘ÎorŽ¡ÝINVALID_REALŽ‘?†D«,›B*if–=`the“ÂP®9athŽ‘ $«is“non-linear.‘iËF‘ÿ*ªor“example,˜ifŸü±È“·ŽŽ‘ÞG‘þãŽŽŽ‘gþ!ŽŽŸN8“±pŸÿ®0Ž‘|s±pŸÿ®1ŽŽŽŽŽ‘ƒ¦«is“a“ÂP®9athŽ‘ $±pŽ‘'Q„«andŸü±È“·ŽŽ‘M‘þãŽŽŽ‘ÖÏ!ŽŽŸN8“±qŸÿ®0Ž‘|s±qŸÿ®1ŽŽŽŽŽ‘aH«is“the“trace“of“±pŽ‘ ‚À«on“theŽ¡x-y–é.plane,‘$then“±pŽ‘ñ.:Ïslop‘ÿ}'eŽ‘7Ë«(Ý'x'Ž‘F_±;‘ª¨Ý'y'Ž‘ñ«)“returns“a“ÂrealŽ‘05±m“«sucš¸ãh“that“±m–½€«=“(±b–›p·“±y[Ù«)±=x–é.«where“±b“«is“the“y-in˜tercept“ofŽ¡Ÿü±È·ŽŽ‘¸‘þãŽŽŽ‘ÖÏ!ŽŽŸN8±qŸÿ®0Ž‘|s±qŸÿ®1ŽŽŽŽŽ‘;Ý«and–UU±x“«and“±y‘±.«are“the“x“and“y-cošGordinates“of“p˜oin¸ãts“onŸü±È“·ŽŽ‘e ‘þãŽŽŽ‘ÖÏ!ŽŽŸN8“±qŸÿ®0Ž‘|s±qŸÿ®1ŽŽŽŽŽ‘;Ý«.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.11.05.«]Ž‘X؃Changed–%this“function,‘/(so“that“Ïis‘‰ffŽ‘®line‘ÿ}'arŽ‘(;«(›ª®)“is“used“instead“of“Ïget‘‰ffŽ–®line‘‰ffŽ“switchŽ‘Bü«(˜)“(formerlyŽ¡\Ïis‘‰ffŽ‘®lineŽ‘ñ?«(‘ª®)").‘qµNo¸ãw,›U)it–Ucan“bGe“used“for“all“linear“ÂP®9athsŽ‘ o¾«,˜not“just“ones“created“using“the“constructor“for“lines.Ž¡Also,–UUit“wš¸ãas“commen˜ted-out.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·ŽŸ ‘ +·gŽ©Â879.– üSlopQÇe.“«[¬LDF‘T2002.11.05.«]Ž‘\OÊÏslop‘ÿ}'eŽ‘r‡•«(‘ª®)–écan“only“bGe“used“for“linear“ÂP®9athsŽ‘"7‰«.‘ ȃIt“returns“a“ÂrealŽ‘—««v‘ÿqÇalueŽ¡represenš¸ãting–ƒthe“slopGe“of“the“Ïtr–ÿ}'ac“e‘Cl«of–ƒa“line“on“the“ma‘Ž8jor“plane“represen˜ted“b˜y“the“Âc®9harŽ‘«argumen˜ts,‘ÎorŽ¡ÝINVALID_REALŽ‘?†D«,›B*if–=`the“ÂP®9athŽ‘ $«is“non-linear.‘iËF‘ÿ*ªor“example,˜ifŸü±È“·ŽŽ‘ÞG‘þãŽŽŽ‘gþ!ŽŽŸN8“±pŸÿ®0Ž‘|s±pŸÿ®1ŽŽŽŽŽ‘ƒ¦«is“a“ÂP®9athŽ‘ $±pŽ‘'Q„«andŸü±È“·ŽŽ‘M‘þãŽŽŽ‘ÖÏ!ŽŽŸN8“±qŸÿ®0Ž‘|s±qŸÿ®1ŽŽŽŽŽ‘aH«is“the“trace“of“±pŽ‘ ‚À«on“theŽ¡x-y–é.plane,‘$then“±pŽ‘ñ.:Ïslop‘ÿ}'eŽ‘7Ë«(Ý'x'Ž‘F_±;‘ª¨Ý'y'Ž‘ñ«)“returns“a“ÂrealŽ‘05±m“«sucš¸ãh“that“±m–½€«=“(±b–›p·“±y[Ù«)±=x–é.«where“±b“«is“the“y-in˜tercept“ofŽ¡Ÿü±È·ŽŽ‘¸‘þãŽŽŽ‘ÖÏ!ŽŽŸN8±qŸÿ®0Ž‘|s±qŸÿ®1ŽŽŽŽŽ‘;Ý«and–UU±x“«and“±y‘±.«are“the“x“and“y-cošGordinates“of“p˜oin¸ãts“onŸü±È“·ŽŽ‘e ‘þãŽŽŽ‘ÖÏ!ŽŽŸN8“±qŸÿ®0Ž‘|s±qŸÿ®1ŽŽŽŽŽ‘;Ý«.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.11.05.«]Ž‘X؃Changed–%this“function,‘/(so“that“Ïis‘‰ffŽ‘®line‘ÿ}'arŽ‘(;«(›ª®)“is“used“instead“of“Ïget‘‰ffŽ–®line‘‰ffŽ“switchŽ‘Bü«(˜)“(formerlyŽ¡\Ïis‘‰ffŽ‘®lineŽ‘ñ?«(‘ª®)").‘qµNo¸ãw,›U)it–Ucan“bGe“used“for“all“linear“ÂP®9athsŽ‘ o¾«,˜not“just“ones“created“using“the“constructor“for“lines.Ž¡Also,–UUit“wš¸ãas“commen˜ted-out.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·ŽŸ ‘ ÂrealŽ‘ ³/Ïslop‘ÿ}'eŽ‘6êú«(Âc®9harŽ‘jI±aŽ‘!z‘«=‘ÇÝ'x'Ž– w±;‘ª¨Âc®9harŽ‘ñ±bŽ‘"&³«=‘ÇÝ'y'Ž“«);ަÂ880.Ž¡·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ ÂrealŽ‘ ³/P®9athŽ‘:D—«::‘Ïslop‘ÿ}'eŽ‘7Ï«(Âc®9harŽ‘jI±aŽ‘³y;‘ª¨Âc®9harŽ‘ñ±bŽ‘_›«)Ž¡‘ ·fŽ¡‘ÂifŽ‘´ú«(·:Ïis‘‰ffŽ‘®line‘ÿ}'arŽ‘%}«(‘ª¨))‘·fŽ¡‘Ïc‘ÿ}'errŽ‘7ó·‘_JÝ"ERROR!È ÝInÈ ÝPath::sloŽ‘o_pe().È ÝPathÈ ÝisÈ ÝnotÈ ÝliŽ’Ø^Ònear!\n"Ž’ Dl·Ž¡‘2Ý"ReturningÈ ÝINVALID_RŽ’šÿÉEAL\n"Ž’½Í7·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_REALŽ’m«;Ž¡‘·gŽ¡‘ÂreturnŽ‘7æ¼Ïp‘ÿ}'ointsŽ‘S Q«[1Ž–]‘þŸ±~ŽŽ‘Ïslop‘ÿ}'eŽ‘7Ì«(·Ž“Ïp‘ÿ}'ointsŽ‘ $–«[0Ž“]±;‘ª¨aŽ‘óØ;‘ª¨bŽ‘õR«);Ž¡‘ ·gަÂ881.– üSubpath.“«[¬LDF‘T2002.11.05.«]Ž‘Zˆ6Ïsubp‘ÿ}'athŽ‘|˜«(‘ª®)–UUreturns“a“new“ÂP®9athŽ‘<«using“Ïp‘ÿ}'ointsŽ‘yê«[ÏstartŽ‘…M«]“throughŽ¡Ïp‘ÿ}'ointsŽ‘$•«[ÏendŽ‘ª—·‘Éå«1ޑɿ]–×from“·Ž‘ØÏthisŽ‘ Ž«.‘_HIf“the“optional“Âb•QÇo“olŽ‘‡¿«argumen¸ãt“ÏcycleŽ‘´ã«is“used,‘(ðthen“the“new“ÂP®9athŽ‘Í«will“bGe“a“cycle,Ž¡whether‘ý'·Ž‘ý(ÏthisŽ‘æ«is–ý'or“not.›TbOne“optional“connector“argumen¸ãt“can“bGe“used.˜If“it“is,‘Êit“will“bGe“the“only“connector.Ž¡Otherwise,–UUthe“connectors“from“·Ž‘UVÏthisŽ‘–a«are“used.Ž¡‘ -[¬LDF‘T2002.11.05.«]Ž‘Y;ÏstartŽ‘qâÝ«m¸ãust–UUbšGe“±<“ÏendŽ‘6«.‘qÇIt“is“not“p˜ossible“to“ha•¸ãv“e‘UUÏstartŽ‘/÷±>‘UUÏendŽ‘6«,›UUev“en˜if˜·Ž‘UVÏthisŽ‘–a«is˜a˜cycle.ŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +[¬LDF‘T2002.11.05.«]Ž‘Y;ÏstartŽ‘qâÝ«m¸ãust–UUbšGe“±<“ÏendŽ‘6«.‘qÇIt“is“not“p˜ossible“to“ha•¸ãv“e‘UUÏstartŽ‘/÷±>‘UUÏendŽ‘6«,›UUev“en˜if˜·Ž‘UVÏthisŽ‘–a«is˜a˜cycle.ŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.11.05.«]Ž‘Y½Rewrote– !this“function.›,Made“Ïsubp‘ÿ}'athŽ‘%„ƒ«(‘ª®)“itself“and“its“argumen¸ãts“ÂconstŽ‘ßn«.˜Added“errorŽ¡handling‘UUcoGde.Ž¡‘ [¬LDF‘T2003.07.16.«]Ž‘Y;Please–UUnote“that“ÏstartŽ‘/÷«and“ÏendŽ‘‹\«cannot“bGe“made“ÂconstŽ‘*¢«.Ž¡‘ [¬LDF‘T2003.08.27.«]Ž‘YE‹Changed‘’¥Âin®9tŽ‘tì±iŽ‘y…«to‘’¥Âsizeu½‰™šs4Ž‘ÔwtŽ‘#"ž±iŽ‘*'7«in–’¥the“ÂforŽ‘¸{«loGops“that“compare“±iŽ‘ -—>«to“ÏstartŽ‘ª—«and“ÏendŽ‘sW«.‘)¸The“w•¸ãa“yŽ¡it–UUwš¸ãas“bGefore“caused“GCC“with“the“\È-Wall«"“option“to“issue“a“w˜arning.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·ŽŸ ‘ -ÂP®9athŽ‘%åíÏsubp‘ÿ}'athŽ‘G`O«(Âsizeu½‰™šs4Ž‘ÔwtŽ‘QÜÏstartŽ‘4×)±;‘ª¨Âsizeu½‰™šs4Ž‘ÔwtŽ‘ ü„ÏendŽ‘1Ý6±;‘ª¨ÂconstŽ‘Ô}b•QÇo“olŽ‘9uÏcycleŽ‘Rµc«=‘ÇÏfalseŽ‘v\±;‘ª¨ÂconstŽ‘Ô}stringŽ‘@øýÏc–ÿ}'onne“ctorŽ‘oï«=‘ÇÝ""Ž‘ Íz«)‘TˆÂconstŽ‘)Õ«;ŽŽŽŒ‹ð óD Šn ý‘ì«240›­SUBP–ÿJªA“TH’:kÒ3DLDFPRÃŽG˜·x«882Ž €n ý•@PÂ882.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ +—>«to“ÏstartŽ‘ª—«and“ÏendŽ‘sW«.‘)¸The“w•¸ãa“yŽ¡it–UUwš¸ãas“bGefore“caused“GCC“with“the“\È-Wall«"“option“to“issue“a“w˜arning.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·ŽŸ ‘ +ÂP®9athŽ‘%åíÏsubp‘ÿ}'athŽ‘G`O«(Âsizeu½‰™šs4Ž‘ÔwtŽ‘QÜÏstartŽ‘4×)±;‘ª¨Âsizeu½‰™šs4Ž‘ÔwtŽ‘ ü„ÏendŽ‘1Ý6±;‘ª¨ÂconstŽ‘Ô}b•QÇo“olŽ‘9uÏcycleŽ‘Rµc«=‘ÇÏfalseŽ‘v\±;‘ª¨ÂconstŽ‘Ô}stringŽ‘@øýÏc–ÿ}'onne“ctorŽ‘oï«=‘ÇÝ""Ž‘ Íz«)‘TˆÂconstŽ‘)Õ«;ŽŽŽŒ‹ò ê÷ Šn ý‘ì«242›­SUBP–ÿJªA“TH’:kÒ3DLDFPRÃŽG˜·x«882Ž €n ý•@PÂ882.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ ÂP®9athŽ‘%Ï6P®9athŽ‘?`ž«::‘Ïsubp‘ÿ}'athŽ‘"zf«(Âsizeu½‰™šs4Ž‘ÔwtŽ‘;%ÏstartŽ‘4Àr±;‘ª¨Âsizeu½‰™šs4Ž‘ÔwtŽ‘ åÍÏendŽ‘1Ʊ;‘ª¨ÂconstŽ‘½Æb•QÇo“olŽ‘9G¨ÏcycleŽ‘OÀݱ;‘ª¨ÂconstŽ‘½ÆstringŽ‘@ËÏc–ÿ}'onne“ctorŽ‘l*i«)‘=ÑÂconstŽ‘·f‘=ÑÂb•QÇo“olŽŽ¡‘2ÝDEBUGŽ‘Ov«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂP®9athŽ‘9æ¼±pŽ‘>;ŽŸÂ883.‘ ü«[¬LDF‘T2002.11.05.«]Ž‘[˜There–e!is“no“\ÝINVALID_PATHŽ‘?†D«",›©so“I‘dÛreturn“an“empt¸ãy“one,˜if“ÏstartŽ‘vƒ·‘ŒÏendŽ‘lÇ«.‘¡+SinceŽ¡ÂopQÇeratorŽ‘+–µ·Ž‘3]Ó«(‘ª¨)–=¬currenš¸ãtly“doGesn't“exist,‘wÂthere's“not“m˜uc˜h“pGoin˜t“in“de ning“ÝINVALID_PATHŽ‘CÃð«,‘wÂsince“there's“noŽ¡w•¸ãa“y–UUto“compare“another“ÂP®9athŽ‘<«to“it.ަ·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ ÂifŽ‘´ù«(ÏstartŽ‘Le·‘ÇÏendŽ‘§Ê«)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘*'c·‘q»Ý"ERROR!È ÝInÈ ÝPath::subŽ‘lqpath():\n"Ž’¤é„·‘q»Ý"TheÈ Ý\"start\"È ÝargumŽ‘lqentÈ ÝisÈ Ý<È ÝtheÈ Ý\"end\"Ž’ÕqC\ŽŽ¡‘(È Ýargument.\n"Ž‘o]·‘ÇÝ"ReturningÈ ÝemptyÈ ÝPatŽ‘kÆÜh.\n\n"Ž’“ÔG·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘7æ¼±pŽ‘<;Ž¡‘ ·gŽŸÂ884.‘ ü«[¬LDF‘T2002.11.05.«]Ž‘Zˆ6More–UUerror“handling.‘qÇIn“these“cases,“it's“pGossible“to“reco•¸ãv“er.ަ·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ @@ -3199,7 +3237,7 @@ ÂifŽ‘´ù«(ÏendŽ‘§Ê±>‘ÇÏp‘ÿ}'ointsŽ‘ë­±:ÏsizeŽ‘\«(‘ª¨))‘·fŽ¡‘Ïc‘ÿ}'errŽ‘)ðò·‘;JÝ"ERROR!È ÝInÈ ÝPath::subŽ‘l;path():\n"Ž’¤|¢·‘;JÝ"\"end\"È ÝargumentÈ ÝisŽ‘l;È Ý>È Ýpoints.size().\n"Ž’Øü„·Ž¡‘(Ý"WillÈ ÝtryÈ ÝtoÈ ÝrecoverŽ’ÿÈÈ ÝbyÈ ÝsettingÈ ÝendÈ Ý=È ÝpoŽ’ùÿŒints.size().\n\n"Ž’VŒÙ·‘ÇÏ ushŽ‘€«;Ž¡‘ÏendŽ‘'§Ì«=‘ÇÏp‘ÿ}'ointsŽ‘ë­±:ÏsizeŽ‘\«(‘ª¨);Ž¡‘ ·gŽŸÂ885.‘ ü«[¬LDF‘T2002.11.05.«]Ž‘Y«If–x4a“Ïc–ÿ}'onne“ctorŽ‘0OB«argumenš¸ãt“is“spGeci ed,‘¤nall“w˜e“ha˜v˜e“to“do“is“put“the“appropriate“ÂP•®9oin“tsŽŽ¡«from‘UUÏp‘ÿ}'ointsŽ‘!Ï?«onš¸ãto‘UU±pŽ‘]U:Ïp‘ÿ}'ointsŽ‘$•«,–UUput“Ïc–ÿ}'onne“ctorŽ‘2 „«on˜to“±pŽ›]U:Ïc–ÿ}'onne“ctorsŽ‘/4.«,“and“return“±pŽ˜«.ަ·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ ÂifŽ‘´ù«(Ïc–ÿ}'onne“ctorŽ‘.%ò·6«=‘ÇÝ""Ž‘ Íz«)‘·fŽ¡‘ÂforŽ‘%舫(Âsizeu½‰™šs4Ž‘ÔwtŽ‘R©±iŽ‘%‹µ«=‘ÇÏstartŽ‘Le«;‘ÿý±iŽ‘ 9 <‘ÇÏendŽ‘§Ê«;‘ÿý±iŽ‘ññŸÿ®+‘ÿ+ŽŽ‘¹«)‘·fŽ¡‘ÂifŽ‘)´û«(±iŽ‘9 ·‘ÇÏp‘ÿ}'ointsŽ‘ë­±:ÏsizeŽ‘\«(‘ª¨))‘·fŽ¡‘(Ïc‘ÿ}'errŽ‘>Y‰·‘£ßÝ"ERROR!È ÝInÈ ÝPath::subŽ‘l££path():\n"Ž’¥MÌ·‘£ßÝ"endÈ ÝargumentÈ Ý>È ÝpoinŽ‘l££ts.size().\n"Ž’µ ÷Ž¡‘<Ý"BreakingÈ ÝoutÈ ÝofÈ ÝlooŽ’¤ÿÊp.\n\n"Ž’Í 5·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂbreakŽ‘D¡h«;Ž¡‘·gŽ¡‘±pŽ‘#:Ïp‘ÿ}'ointsŽ–$•±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÂP•®9oin“tŽ‘šL«::Ž‘#(ŠÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“p‘ÿ}'ointŽ‘kþ†«(Ïp‘ÿ}'ointsŽ“«[±iŽ‘qô«]));Ž¡‘·gŽ¡‘±pŽ‘:Ïc–ÿ}'onne“ctorsŽ‘/4.±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(Ïc–ÿ}'onne“ctorŽ‘+^Ú«);Ž¡‘±pŽ‘:Ïset‘‰ffŽ‘®cycleŽ‘&*«(ÏcycleŽ‘y5«);Ž¡‘ÂreturnŽ‘7æ¼±pŽ‘<;Ž¡‘ -·gŽŽŽŒ‹ñ ¥ Šn ý‘ì·x«886›­3DLDFPRÃŽG’:kÒSUBP–ÿJªA“TH˜«241Ž €n ý•@PÂ886.‘ ü«[¬LDF‘T2002.11.05.«]Ž‘ZNTIf–sno“Ïc–ÿ}'onne“ctorŽ‘1•À«argumenš¸ãt“is“spGeci ed,‘'then“w˜e“ha˜v˜e“to“get“the“appropriate“connec-ޤ tors– Pfrom“·Ž‘ QÏthisŽ‘ø«.‘YpThis“is“slighš¸ãtly“tric˜ky‘ÿ*ª,‘ëbšGecause“Ïc–ÿ}'onne“ctorsŽ‘5LΫdo˜esn't“ha•¸ãv“e– Pto“conš¸ãtain“a“Ïc–ÿ}'onne“ctorŽ‘1wz«for“eac˜h“pairŽ¡of‘fjÂP•®9oin“tsŽ‘&ðX«that–fjis“joined“in“a“ÂP®9athŽ‘÷Ϋ.‘¥So,‘j° rst“wš¸ãe“m˜ust“ ll“up“±pŽ‘nj:Ïc–ÿ}'onne“ctorsŽ‘2š˜«so“that“w˜e“can“tell“whic˜h“ones“toŽ¡use.Ž¡‘ +·gŽŽŽŒ‹ó ü Šn ý‘ì·x«886›­3DLDFPRÃŽG’:kÒSUBP–ÿJªA“TH˜«243Ž €n ý•@PÂ886.‘ ü«[¬LDF‘T2002.11.05.«]Ž‘ZNTIf–sno“Ïc–ÿ}'onne“ctorŽ‘1•À«argumenš¸ãt“is“spGeci ed,‘'then“w˜e“ha˜v˜e“to“get“the“appropriate“connec-ޤ tors– Pfrom“·Ž‘ QÏthisŽ‘ø«.‘YpThis“is“slighš¸ãtly“tric˜ky‘ÿ*ª,‘ëbšGecause“Ïc–ÿ}'onne“ctorsŽ‘5LΫdo˜esn't“ha•¸ãv“e– Pto“conš¸ãtain“a“Ïc–ÿ}'onne“ctorŽ‘1wz«for“eac˜h“pairŽ¡of‘fjÂP•®9oin“tsŽ‘&ðX«that–fjis“joined“in“a“ÂP®9athŽ‘÷Ϋ.‘¥So,‘j° rst“wš¸ãe“m˜ust“ ll“up“±pŽ‘nj:Ïc–ÿ}'onne“ctorsŽ‘2š˜«so“that“w˜e“can“tell“whic˜h“ones“toŽ¡use.Ž¡‘ [¬LDF‘T2002.11.05.«]Ž‘YEµActually‘ÿ*ª,›¢-with–’Ïthe“constructors“that“exist,˜there“will“either“bGe“only“one“connector“or“aŽ¡connector–0$for“eacš¸ãh“pair“of“ÂP•®9oin“tsŽ‘&ƒÌ«that“need“to“bGe“joined.‘eaHo˜w˜ev˜er,‘7”it“w˜ould“bGe“easy“to“write“functions“thatŽ¡add–UUor“remo•¸ãv“e–UUconnectors,“so“it's“bGest“to“ha•¸ãv“e–UUthis“routine.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ ±pŽ‘Ï«=‘Ç·Ž‘ÇÏthisŽ‘²Ï«;ަ‘ ÂunsignedŽ‘:7shortŽ‘X²±aŽ‘`ú«=‘ÇÏp‘ÿ}'ointsŽ‘ë­±:ÏsizeŽ‘\«(‘ª¨);ަ‘ @@ -3213,22 +3251,29 @@ ÂforŽ‘臫(Âsizeu½‰™šs4Ž‘ÔwtŽ‘R©±iŽ‘%‹µ«=‘ÇÏstartŽ‘Le«;‘ÿý±iŽ‘ 9 <‘ÇÏendŽ‘§Ê«;‘ÿý±iŽ‘ññŸÿ®+‘ÿ+ŽŽ‘¹«)‘·fŽ¡‘±qŽ‘Ò¬:Ïp‘ÿ}'ointsŽ–$•±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÂP•®9oin“tŽ‘šL«::Ž‘#(ŠÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“p‘ÿ}'ointŽ‘kþ†«(±pŽ‘:Ïp‘ÿ}'ointsŽ“«[±iŽ‘qô«]));Ž¡‘ÂifŽ‘´ú«(±iŽ‘9 <‘ÇpŽ‘Ï:Ïc–ÿ}'onne“ctorsŽ–/4.±:ÏsizeŽ‘\«(‘ª¨))‘±qŽ‘ Òª:Ïc–ÿ}'onne“ctorsŽ“±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(±pŽ‘:Ïc–ÿ}'onne“ctorsŽ“«[±iŽ‘qô«]);Ž¡‘ ·gŽ¡‘ ±qŽ‘Ò«:Ïset‘‰ffŽ‘®cycleŽ‘&*«(ÏcycleŽ‘y5«);Ž¡‘ -ÂreturnŽ‘-æ»±qŽ‘2¹e«;‘qÇ·gŽŸÂ887.– üGet‘;§pQÇoinš®9t.“«[¬LDF‘T2002.11.05.«]Ž‘\žhNote–k‡that“Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘K‹f«(‘ª®)“is“not“called“on“the“ÂP˜oin˜tŽ‘&qV«that'sŽ¡returned.‘qÇIf–UUit“w¸ãas,“Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘*·«(‘ª®)“couldn't“bGe“ÂconstŽ‘*¢«.ŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.11.05.«]Ž‘Y;Made–UUnon-ÂinlineŽ‘4ó«.‘qÇChanged“return“v‘ÿqÇalue“to“ÂconstŽ‘!÷P•®9oin“tŽ‘@o”«&Ž‘H6².ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ -ÂconstŽ‘(*£P•®9oin“tŽ‘G@«&Ž‘Ná^Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘vC¦«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±aŽ‘quƒ«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹ò ÿ Šn ý‘ì«242–­GET‘ÕXPOINT’1b03DLDFPRÃŽG“·x«888Ž €n ý•@PÂ888.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ -ÂconstŽ‘(*£P•®9oin“tŽ‘G@«&Ž‘Ná^ÂP®9athŽ‘hrÆ«::‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘(bL«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±aŽ‘quƒ«)‘UUÂconstŽŽ¡‘ -·fŽ¡‘ÂifŽ‘´ú«(±aŽ‘H<‘ÇÏp‘ÿ}'ointsŽ‘ë­±:ÏsizeŽ‘\«(‘ª¨))‘ÂreturnŽ‘(溷Ž‘-æ»Ïp‘ÿ}'ointsŽ‘I P«[±aŽ‘I0«];Ž¡‘ÂelseŽ‘+Øá·fŽ¡‘Ïc‘ÿ}'errŽ‘4w0·‘Á‡Ý"ERROR!È ÝInÈ ÝPath::getŽ‘lÁK_point():\n"Ž—° ·‘Á‡Ý"ArgumentÈ ÝisÈ Ý>=È ÝsizeŽ‘lÁKÈ ÝofÈ ÝPath.\n"Ž“·Ž¡‘2Ý"ReturningÈ ÝINVALID_PŽ’šÿÉOINT.\n\n"Ž’ÒÍ+·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_POINTŽ’†¬þ«;Ž¡‘·gŽ¡‘ -gŽŸÂ889.‘ üGet–ÕTlast“pQÇoin®9t.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +ÂreturnŽ‘-æ»±qŽ‘2¹e«;‘qÇ·gޤÂ887.‘ üGet‘ÕTpQÇoin®9t.Ž¡888.‘ ünon-const‘ÕTv®9ersion.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¤ ‘ +«[¬LDF‘T2002.11.05.«]Ž‘Y;Made–UUnon-ÂinlineŽ‘4ó«.‘qÇChanged“return“v‘ÿqÇalue“to“ÂconstŽ‘!÷P•®9oin“tŽ‘@o”«&Ž‘H6².Ž¡‘ +[¬LDF‘T2003.11.28.«]Ž‘Y˜{BUG‘åpFIX:–å•Changed,‘ ¥so“that“Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Jt«(‘ª®)“is“called“on“the“ÂP•®9oin“tŽ‘Ý«.‘"†This“en¸ãtailedŽ¡making–ÅÃthis“function“non-ÂconstŽ‘ÕM«.‘ÃAdded“ÂconstŽ‘"`Ó«vš¸ãersion“bGelo˜w.‘ÃThis“ma˜y“actually“bGe“a“bug,‘áÞrather“than“aŽ¡bug–s x,‘mdepGending“on“hoš¸ãw“this“function“is“used“elsewhere.‘U|Ho˜w˜ev˜er,‘mI‘]really“think“Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘I R«(‘ª®)“shouldŽ¡bGe‘UUcalled.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ +ÂconstŽ‘(*£P•®9oin“tŽ‘G@«&Ž‘Ná^Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘vC¦«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±aŽ‘quƒ«);ŽŽŽŒ‹ô +\ Šn ý‘ì«244–­NON-ÂCONST‘ÕX­VERSION’úAÕ3DLDFPRÃŽG“·x«889Ž €n ý•@PÂ889.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ +ÂconstŽ‘(*£P•®9oin“tŽ‘G@«&Ž‘Ná^ÂP®9athŽ‘hrÆ«::‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘(bL«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±aŽ‘quƒ«)Ž¡‘ +·fŽ¡‘ÂifŽ‘´ú«(±aŽ‘H<‘ÇÏp‘ÿ}'ointsŽ‘ë­±:ÏsizeŽ‘\«(‘ª¨))‘·fŽ¡‘«(Ïp‘ÿ}'ointsŽ‘$•«[±aŽ‘I0«])‘þŸ±~ŽŽ‘Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Jà«(‘ª¨);Ž¡‘ÂreturnŽ‘Aæ½·Ž‘Fæ¾Ïp‘ÿ}'ointsŽ‘b S«[±aŽ‘I0«];Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘Ïc‘ÿ}'errŽ‘4w0·‘Á‡Ý"ERROR!È ÝInÈ ÝPath::getŽ‘lÁK_point():\n"Ž—° ·‘Á‡Ý"ArgumentÈ ÝisÈ Ý>=È ÝsizeŽ‘lÁKÈ ÝofÈ ÝPath.\n"Ž“·Ž¡‘2Ý"ReturningÈ ÝINVALID_PŽ’šÿÉOINT.\n\n"Ž’ÒÍ+·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_POINTŽ’†¬þ«;Ž¡‘·gŽ¡‘ +gŽŸÂ890.‘ üconst‘ÕTv®9ersion.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.11.28.«]Ž‘Y;Added–UUthis“v¸ãersion.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ +ÂP•®9oin“tŽ‘(ïžÏget‘‰ffŽ‘®p‘ÿ}'ointŽ‘PQæ«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±aŽ‘quƒ«)‘UUÂconstŽ‘*¢«;ŽŸÂ891.ަ·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ +ÂP•®9oin“tŽ‘(ïžP®9athŽ‘B«::‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘(bL«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±aŽ‘quƒ«)‘UUÂconstŽŽ¡‘ +·fŽ¡‘ÂifŽ‘´ú«(±aŽ‘H<‘ÇÏp‘ÿ}'ointsŽ‘ë­±:ÏsizeŽ‘\«(‘ª¨))‘·fŽ¡‘ÂP•®9oin“tŽ‘<ï ±pŽ‘D¾¸«=‘Ç·Ž‘Ç«(Ïp‘ÿ}'ointsŽ‘$•«[±aŽ‘I0«]);ަ‘±pŽ‘#:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);Ž¡‘ÂreturnŽ‘Aæ½±pŽ‘F;Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘Ïc‘ÿ}'errŽ‘4w0·‘Á‡Ý"ERROR!È ÝInÈ ÝPath::getŽ‘lÁK_point():\n"Ž—° ·‘Á‡Ý"ArgumentÈ ÝisÈ Ý>=È ÝsizeŽ‘lÁKÈ ÝofÈ ÝPath.\n"Ž“·Ž¡‘2Ý"ReturningÈ ÝINVALID_PŽ’šÿÉOINT.\n\n"Ž’ÒÍ+·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_POINTŽ’†¬þ«;Ž¡‘·gŽ¡‘ +gŽŸÂ892.‘ üGet–ÕTlast“pQÇoin®9t.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.05.10.«]Ž‘Y;Added–UUthis“function.Ž¡‘ -[¬LDF‘T2002.11.05.«]Ž‘Y;Made–UUnon-ÂinlineŽ‘4ó«.‘qÇChanged“return“v‘ÿqÇalue“to“ÂconstŽ‘!÷P•®9oin“tŽ‘@o”«&Ž‘H6².ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ -ÂconstŽ‘(*£P•®9oin“tŽ‘G@«&Ž‘Ná^Ïget‘‰ffŽ–®last‘‰ffŽ“p‘ÿ}'ointŽ’‰œ«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŸÂ890.ަ·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ +[¬LDF‘T2002.11.05.«]Ž‘Y;Made–UUnon-ÂinlineŽ‘4ó«.‘qÇChanged“return“v‘ÿqÇalue“to“ÂconstŽ‘!÷P•®9oin“tŽ‘@o”«&Ž‘H6².ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ +ÂconstŽ‘(*£P•®9oin“tŽ‘G@«&Ž‘Ná^Ïget‘‰ffŽ–®last‘‰ffŽ“p‘ÿ}'ointŽ’‰œ«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹õ Ü Šn ý‘ì·x«893›­3DLDFPRÃŽG’„GET–ÕXLAST“POINT˜«245Ž €n ý•@PÂ893.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ ÂconstŽ‘(*£P•®9oin“tŽ‘G@«&Ž‘Ná^ÂP®9athŽ‘hrÆ«::‘Ïget‘‰ffŽ–®last‘‰ffŽ“p‘ÿ}'ointŽ‘;$B«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂifŽ‘´ú«(Ïp‘ÿ}'ointsŽ›$•±:ÏsizeŽ‘\«(‘ª¨)–Ç·6«=“0Ž‘Ç)‘ÂreturnŽ‘(溷Ž‘-æ»Ïp‘ÿ}'ointsŽ‘I P«[Ïp‘ÿ}'ointsŽ˜±:ÏsizeŽ‘\«(‘ª¨)–8à·“«1Ž‘8á];Ž¡‘ÂelseŽ‘+Øá·fŽ¡‘Ïc‘ÿ}'errŽ‘5ž4·‘è‹Ý"ERROR!È ÝInÈ ÝPath::getŽ‘mèO_last_point():\n"Ž’Ì—·‘è‹Ý"PathÈ ÝisÈ Ýempty.\n"Ž‘h×H·Ž¡‘2Ý"ReturningÈ ÝINVALID_PŽ’šÿÉOINT.\n\n"Ž’ÒÍ+·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_POINTŽ’†¬þ«;Ž¡‘·gŽ¡‘ -gŽŸÂ891.‘ üGet‘ÕTsize.ަ·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ +gŽŸÂ894.‘ üGet‘ÕTsize.ަ·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ ÂvirtualŽ‘/ÔinlineŽ‘Osizeu½‰™šs4Ž‘ÔwtŽ‘njÅÏget‘‰ffŽ‘®sizeŽ’¹Ý«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïp‘ÿ}'ointsŽ‘S Q±:ÏsizeŽ‘\«(‘ª¨);Ž¡‘ -·gŽŸÂ892.‘ üGet‘ÕTnormal.ŽŽŽŒ‹ó “ Šn ý‘ì·x«893›­3DLDFPRÃŽG’!1ÂP–ÿ -«A“TH‘ÕX­VERSION˜«243Ž €n ý•@PÂ893.› üP•®9ath‘õÓv“ersion.˜«[¬LDF‘T2002.11.05.«]Ž‘YÅÛÏget‘‰ffŽ‘®normalŽ’ŠPO«(‘ª®)–’úreturns“a“unit“vš¸ãector“represen˜ting“the“normal“to“theޤ plane–f +·gŽŸÂ895.‘ üGet‘ÕTnormal.ŽŽŽŒ‹ö !¹ Šn ý‘ì«246›ÂP–ÿ +«A“TH‘ÕX­VERSION’!13DLDFPRÃŽG˜·x«896Ž €n ý•@PÂ896.› üP•®9ath‘õÓv“ersion.˜«[¬LDF‘T2002.11.05.«]Ž‘YÅÛÏget‘‰ffŽ‘®normalŽ’ŠPO«(‘ª®)–’úreturns“a“unit“vš¸ãector“represen˜ting“the“normal“to“theޤ plane–f of“the“ÂP®9athŽ‘]x·Ž‘$]yÏthisŽ‘5I/«,‘j8if“·Ž‘f ÏthisŽ›·Ë«is“planar.‘£çIf“the“ÂP•®9oin“tsŽ‘&on“·Ž‘f ÏthisŽ˜«are“colinear“and“there“are“no“connectorsŽ¡that–˜pcould“mak¸ãe“the“ÂP®9athŽ›ÂD«non-linear,‘©6then“ÏoriginŽ‘"'«((0±;–ª¨«0±;“«0))–˜pis“returned.‘;If“the“ÂP®9athŽ˜«is“neither“planar“norŽ¡linear,‘UUÏget‘‰ffŽ‘®normalŽ‘3ßÉ«(‘ª®)–UUreturns“ÝINVALID_POINTŽ‘H–«.Ž¡‘ [¬LDF‘T2002.11.05.«]ŽŽ¡·Ž‘ Ïget‘‰ffŽ‘®normalŽ‘:Šu«(›ª®)–> rst“c•¸ãhec“ks–>whether“a“ÂP®9athŽ‘ Çà«con¸ãtains“no“ÂP•®9oin“tsŽ‘(Z«or“only“one“ÂP•®9oin“tŽ‘µ†«.‘ÂIf“so,‘L¸Ïget‘‰ffŽ‘®normalŽ‘4×,«(˜)Ž¡‘ @@ -3247,17 +3292,17 @@ all–òþ±bŸÿ´xŽ‘ä«,›©then“the“ÂP®9athŽ‘w`«is“planar,˜and“Ïget‘‰ffŽ‘®normalŽ‘3}r«(‘ª®)“returns“·±bŸÿ®0Ž‘oq«(see“explanation“of“sign“bGelo¸ãw).‘QOtherwise,Ž¡‘ the‘UUÂP®9athŽ‘<«is–UUnon-planar,“and“Ïget‘‰ffŽ‘®normalŽ‘3ßÉ«(‘ª®)“returns“ÝINVALID_POINTŽ‘H–«.ަ‘ [¬LDF‘T2003.06.04.«]Ž‘XP™Revš¸ãersing–³the“sign“of“±bŸÿ®0Ž‘&«ensures“that“the“normal“will“pGoin˜t“in“the“direction“of“the“pGositiv˜eŽ¡y-axis,›Ï‚when–® a“plane“ gure“is“created“in“the“x-z“plane,˜using“one“of“the“constructors“taking“a“ÂP•®9oin“tŽ‘ öb«argumen¸ãtŽ¡for–˜¾the“cen•¸ãter,‘¾vÂrealŽ‘µ «argumen“ts–˜¾for“the“dimensions,‘¾vand“three“ÂrealŽ‘U«argumen¸ãts“for“the“rotation“abGout“the“ma‘Ž8jorŽ¡axes.›iIf–ýnon-zero“argumen¸ãts“are“used“for“rotation,‘' -the“normal“will“bGe“rotated“accordingly‘ÿ*ª.˜This“directionŽ¡considered–%jto“bšGe“\outside".‘aÎIn“3DLDF,“the“constructors“generally“generate“ÂP•®9oin“tsŽ‘&nX«mo¸ãving“ab˜out“the“ gureŽ¡in–[9the“coun•¸ãter-clošGc“kwise–[9direction“(as“seen“from“a“ÂP•®9oin“tŽ‘"Pº«with“a“p˜ositiv¸ãe“y-co˜ordinate).‘ƒrHo•¸ãw“ev“er,‘\²accordingŽ¡to–$ˆHu¸ãw“Jones,‘.KÏComputer–gGr›ÿ}'aphics“Thr˜ough“Key“Mathematics«,–.Kp.›$ˆ197,“\outside"˜is˜considered˜to˜bGe˜the˜sideŽ¡of–Ïta“plane,‘ê;where“the“ÂP•®9oin“tsŽ‘%Âl«are“meanš¸ãt“to“bGe“tra˜v˜ersed“in“the“cloGc˜kwise“direction.–E'!!“W‘ÿ*ªatc˜h–Ïtout“for“problemsŽ¡that–UUma¸ãy“arise“from“this“discrepancy!ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +the“normal“will“bGe“rotated“accordingly‘ÿ*ª.˜This“directionŽ¡considered–%jto“bšGe“\outside".‘aÎIn“3DLDF,“the“constructors“generally“generate“ÂP•®9oin“tsŽ‘&nX«mo¸ãving“ab˜out“the“ gureŽ¡in–[9the“coun•¸ãter-clošGc“kwise–[9direction“(as“seen“from“a“ÂP•®9oin“tŽ‘"Pº«with“a“p˜ositiv¸ãe“y-co˜ordinate).‘ƒrHo•¸ãw“ev“er,‘\²accordingŽ¡to–$ˆHu¸ãw“Jones,‘.KÏComputer–gGr›ÿ}'aphics“Thr˜ough“Key“Mathematics«,–.Kp.›$ˆ197,“\outside"˜is˜considered˜to˜bGe˜the˜sideŽ¡of–Ïta“plane,‘ê;where“the“ÂP•®9oin“tsŽ‘%Âl«are“meanš¸ãt“to“bGe“tra˜v˜ersed“in“the“cloGc˜kwise“direction.–E'!!“W‘ÿ*ªatc˜h–Ïtout“for“problemsŽ¡that–UUma¸ãy“arise“from“this“discrepancy!ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.11.05.«]Ž‘Y;Rewrote–UUthis“function.Ž¡‘ -[¬LDF‘T2003.06.04.«]Ž‘Y75Changed–„Osign“of“the“normal,› when“it's“returned,˜in“the“cases“where“a“propGer“normal“isŽ¡found–UU(not“ÝINVALID_POINTŽ‘Kpë«or“ÏoriginŽ‘Kv«).‘qÇSee“explanation“abGo•¸ãv“e.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ -ÂvirtualŽ‘/ÔP•®9oin“tŽ‘N}qÏget‘‰ffŽ‘®normalŽ‘å«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŸÂ894.ަ·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ -ÂP•®9oin“tŽ‘(ïžP®9athŽ‘B«::‘Ïget‘‰ffŽ‘®normalŽ‘1Šx«(‘ª®)‘UUÂconstŽ‘*¢·f‘UUÂb•QÇo“olŽ‘ö»ÝDEBUGŽ‘:„,«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝPath::get_Ž‘kÆÜnormal().\n"Ž’®8·‘ÇÏ ushŽ‘€«;Ž¡‘ÂifŽ‘)´û«(Ïp‘ÿ}'ointsŽ‘$•±:ÏsizeŽ‘\«(‘ª¨)–Ç·“«0Ž‘Ç)‘·fŽ¡‘(Ïc‘ÿ}'errŽ‘B“M·‘Ý£Ý"WARNING!È ÝInÈ ÝPath::gŽ‘pÝget_normal():\n"Ž’ÈE·Ž¡‘<Ý"PathÈ ÝisÈ ÝemptyÈ ÝorÈ ÝcoŽ’¤ÿÊntainsÈ ÝonlyÈ ÝoneÈ ÝPoinŽ’ ÿŽt.È Ý"Ž’&M·‘ÇÝ"ReturningÈ ÝINVALID_PŽ‘kÆÜOINT.\n\n"Ž’£”>·Ž¡‘<Ï ushŽ‘Q¹«;Ž¡‘(ÂreturnŽ‘Kæ¾ÝINVALID_POINTŽ’¬ÿ«;Ž¡‘·gŽŽŽŒ‹ô (} Šn ý‘ì«244›ÂP–ÿ -«A“TH‘ÕX­VERSION’!13DLDFPRÃŽG˜·x«895Ž €n ý•@PÂ895.‘ ü«[¬LDF‘T2002.11.05.«]Ž‘ZžWConnectors–kvother“than“the“ones“in“the“conditional“bGelo¸ãw“could“cause“the“ÂP®9athŽ‘hP«toޤ bGe–UUnon-linear“or“non-planar,“ev¸ãen“if“the“ÂP•®9oin“tsŽ‘&Î.«lie“on“a“line“or“in“a“plane.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ +[¬LDF‘T2003.06.04.«]Ž‘Y75Changed–„Osign“of“the“normal,› when“it's“returned,˜in“the“cases“where“a“propGer“normal“isŽ¡found–UU(not“ÝINVALID_POINTŽ‘Kpë«or“ÏoriginŽ‘Kv«).‘qÇSee“explanation“abGo•¸ãv“e.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ +ÂvirtualŽ‘/ÔP•®9oin“tŽ‘N}qÏget‘‰ffŽ‘®normalŽ‘å«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŸÂ897.ަ·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ +ÂP•®9oin“tŽ‘(ïžP®9athŽ‘B«::‘Ïget‘‰ffŽ‘®normalŽ‘1Šx«(‘ª®)‘UUÂconstŽ‘*¢·f‘UUÂb•QÇo“olŽ‘ö»ÝDEBUGŽ‘:„,«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝPath::get_Ž‘kÆÜnormal().\n"Ž’®8·‘ÇÏ ushŽ‘€«;Ž¡‘ÂifŽ‘)´û«(Ïp‘ÿ}'ointsŽ‘$•±:ÏsizeŽ‘\«(‘ª¨)–Ç·“«0Ž‘Ç)‘·fŽ¡‘(Ïc‘ÿ}'errŽ‘B“M·‘Ý£Ý"WARNING!È ÝInÈ ÝPath::gŽ‘pÝget_normal():\n"Ž’ÈE·Ž¡‘<Ý"PathÈ ÝisÈ ÝemptyÈ ÝorÈ ÝcoŽ’¤ÿÊntainsÈ ÝonlyÈ ÝoneÈ ÝPoinŽ’ ÿŽt.È Ý"Ž’&M·‘ÇÝ"ReturningÈ ÝINVALID_PŽ‘kÆÜOINT.\n\n"Ž’£”>·Ž¡‘<Ï ushŽ‘Q¹«;Ž¡‘(ÂreturnŽ‘Kæ¾ÝINVALID_POINTŽ’¬ÿ«;Ž¡‘·gŽŽŽŒ‹÷ & Šn ý‘ì·x«898›­3DLDFPRÃŽG’!1ÂP–ÿ +«A“TH‘ÕX­VERSION˜«247Ž €n ý•@PÂ898.‘ ü«[¬LDF‘T2002.11.05.«]Ž‘ZžWConnectors–kvother“than“the“ones“in“the“conditional“bGelo¸ãw“could“cause“the“ÂP®9athŽ‘hP«toޤ bGe–UUnon-linear“or“non-planar,“ev¸ãen“if“the“ÂP•®9oin“tsŽ‘&Î.«lie“on“a“line“or“in“a“plane.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ ÂforŽ‘臫(Âv®9ectorŽ‘ªH·hÂstringŽ‘Ïø·i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘ÇÏc–ÿ}'onne“ctorsŽ–1ûF±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏc–ÿ}'onne“ctorsŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘ÂifŽ‘´ú«(·:«(·Ž‘ÏiterŽ‘’·‘ÇÝ".."Ž–†T·_‘8àŽ‘8áÏiterŽ›Ê÷·‘ÇÝ"--"Ž“·_‘8àŽ‘8áÏiterŽ˜·‘ÇÝ"..."Ž‘ÆQ·_‘8àŽ‘8áÏiterŽ˜·‘ÇÝ"---"Ž‘q«))‘·fŽ¡‘Ïc‘ÿ}'errŽ‘3|Á·‘ÇÝ"WARNING!È ÝInÈ ÝPath::gŽ‘kÆÜet_normal():\n"Ž’½Ô/·‘ÇÝ"ConnectorÈ ÝmayÈ ÝmakeÈ Ž‘kÆÜÝPathÈ Ýnon-linearÈ ÝorÈ ÝnŽ’ÔÆ \ŽŽ¡‘2on-planar:È Ý"Ž‘tMa·‘ÇŽ‘ÇÏiterŽ‘Y/·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÝ"ReturningÈ ÝINVALID_PŽ‘kÆÜOINT.\n\n"Ž’£”>·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_POINTŽ’†¬þ«;Ž¡‘·gŽ¡‘ -gŽŸÂ896.‘ ü«[¬LDF‘T2002.11.05.«]Ž‘Zˆ6Tw•¸ão›UUpGoin“ts˜determine˜a˜line.ަ·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ +gŽŸÂ899.‘ ü«[¬LDF‘T2002.11.05.«]Ž‘Zˆ6Tw•¸ão›UUpGoin“ts˜determine˜a˜line.ަ·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ ÂifŽ‘´ù«(Ïp‘ÿ}'ointsŽ‘$•±:ÏsizeŽ‘\«(‘ª¨)–Ç·“«2Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘/“·‘`ëÝ"WARNING!È ÝInÈ ÝPath::gŽ‘q`¯et_normal():\n"Ž’ÉÕ·Ž¡‘(Ý"PathÈ ÝhasÈ Ý2È ÝPoints.È Ž’ÿÈ ÝReturningÈ Ýorigin.\nŽ’ùÿŒ\n"Ž’ ·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘7æ¼ÏoriginŽ‘RÜÝ«;Ž¡‘ -·gŽŽŽŒ‹õ >¢ Šn ý‘ì·x«897›­3DLDFPRÃŽG’!1ÂP–ÿ -«A“TH‘ÕX­VERSION˜«245Ž €n ý•@PÂ897.ޤ·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž© ‘ +·gŽŽŽŒ‹ø ;ú Šn ý‘ì«248›ÂP–ÿ +«A“TH‘ÕX­VERSION’!13DLDFPRÃŽG˜·x«900Ž €n ý•@PÂ900.ޤ·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž© ‘ Âv®9ectorŽ‘)ªI·hÂP•®9oin“tŽ‘ï·Ž‘#ïži‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘ÇÏp‘ÿ}'ointsŽ‘ë­±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ ÂP•®9oin“tŽ‘(ïžÏp0Ž‘5^«(·Ž‘Ž‘ ÏiterŽ‘KŸÿ®+‘ÿ+ŽŽ‘' «);ަ‘ @@ -3282,25 +3327,25 @@ Ž6Ïb0Ž‘"«))‘·fަ‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)ަ‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"ExitingÈ ÝPath::get_nŽ‘kÆÜormal().È Ý"Ž—£”>·‘ÇÝ"ReturningÈ ÝINVALID_PŽ‘kÆÜOINT.\n\n"Ž“·‘ÇÏ ushŽ‘€«;ަ‘ÂreturnŽ‘Aæ½ÝINVALID_POINTŽ’†¬þ«;ަ‘·gަ‘ gަ‘ ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝPath::get_nŽ‘kÆÜormal().È Ý"Ž’£”>·‘ÇÝ"ReturningÈ Ýnormal.\nŽ‘kÆÜ\n"Ž‘~ÔS·‘ÇÏ ushŽ‘€«;ަ‘ -ÂreturnŽ‘-æ»·Ž‘5­ÙÏb0Ž‘AAÀ«;‘UU·gŽŽŽŒ‹ö EB Šn ý‘ì«246–ÂPOINT‘ÕX­VERSION’èP3DLDFPRÃŽG“·x«898Ž €n ý•@PÂ898.› üP•®9oin“t‘  v“ersion.˜P“oin“tŽ‘(H«::‘Ïget‘‰ffŽ‘®normalŽ‘1Šx«(‘ª®)–§­is“declared“Èpoints.web«,›Êibut“it“m¸ãust“bGe“de ned“here,˜bGecauseޤ it–UUcalls“ÂP®9athŽ‘潫::‘Ïget‘‰ffŽ‘®normalŽ‘1Šx«(‘ª®).‘qÇ[¬LDF‘T2003.07.11.«]ŽŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.07.11.«]Ž‘Y;Added–UUthis“function.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ +ÂreturnŽ‘-æ»·Ž‘5­ÙÏb0Ž‘AAÀ«;‘UU·gŽŽŽŒ‹ù B› Šn ý‘ì·x«901–­3DLDFPRÃŽG’èPÂPOINT‘ÕX­VERSION“«249Ž €n ý•@PÂ901.› üP•®9oin“t‘  v“ersion.˜P“oin“tŽ‘(H«::‘Ïget‘‰ffŽ‘®normalŽ‘1Šx«(‘ª®)–§­is“declared“Èpoints.web«,›Êibut“it“m¸ãust“bGe“de 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-«[¬LDF‘T2002.11.05.«]Ž‘Y;Rewrote–UUthis“function“to“correspGond“to“the“new“de nition“of“Ïget‘‰ffŽ‘®normalŽ‘3ßÉ«(‘ª®).ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ -ÂvirtualŽ‘/ÔPlaneŽ‘OÄŒÏget‘‰ffŽ‘®planeŽ‘x;t«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹÷ Rz Šn ý‘ì·x«900–­3DLDFPRÃŽG’/½4GET‘ÕXPLANE“«247Ž €n ý•@PÂ900.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ +·gŽŸÂ902.‘ üGet‘ÕTplane.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.11.05.«]Ž‘Y;Rewrote–UUthis“function“to“correspGond“to“the“new“de nition“of“Ïget‘‰ffŽ‘®normalŽ‘3ßÉ«(‘ª®).ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ +ÂvirtualŽ‘/ÔPlaneŽ‘OÄŒÏget‘‰ffŽ‘®planeŽ‘x;t«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹ú OÒ Šn ý‘ì«250–­GET‘ÕXPLANE’/½43DLDFPRÃŽG“·x«903Ž €n ý•@PÂ903.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ ÂPlaneŽ‘*6¹P®9athŽ‘CÈ!«::‘Ïget‘‰ffŽ‘®planeŽ‘)vì«(‘ª®)‘UUÂconstŽŽ¡‘ 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[¬LDF‘T2003.06.24.«]Ž‘Y;Remo•¸ãv“ed–UUthe“argumenš¸ãt“Ïtest‘‰ffŽ‘®p‘ÿ}'ointsŽ‘1}J«.‘qÇNo˜w,“planarit˜y“is“alw˜a˜ys“tested.Ž¡‘ [¬LDF‘T2003.06.24.«]Ž‘Y;BUG–UUFIX:“When“the“ÂP•®9oin“tsŽ‘&Î.«all“la¸ãy“in“the“x-z“plane,“or“a“plane“parallel“to“it,Ž¡Ïlamb‘ÿ}'da‘‰ffŽ‘®denominatorŽ‘^ð+«wš¸ãas–q„0.‘ÆSThis“caused“Ïis‘‰ffŽ–®in‘‰ffŽ“triangleŽ‘>%«(‘ª®)“to“return“ÏfalseŽ‘ È«,‘¸ev˜en“when“·Ž‘ q…ÏthisŽ‘ο«did“lie“in“theŽ¡triangle.‘ :áNo¸ãw,›¾uif‘CÏlamb‘ÿ}'da‘‰ffŽ‘®denominatorŽ‘e·«or‘CÏmu‘‰ffŽ‘®denominatorŽ‘ThM«is–Cequal“to“0,˜the“y“and“z-coGordinates“areŽ¡exc¸ãhanged,‘,Ùand‘"ºÏlamb‘ÿ}'da‘‰ffŽ‘®denominatorŽ‘`Ä«and‘"ºÏmu‘‰ffŽ‘®denominatorŽ‘P'±«are–"ºrecalculated.‘`éIf“either“of“the“new“v‘ÿqÇalues“is“0,Ž¡the–¢Cx“and“z-cošGordinates“are“exc¸ãhanged“(based“on“the“original“co˜ordinate“v‘ÿqÇalues),‘µand“Ïlamb‘ÿ}'da‘‰ffŽ‘®denominatorŽŽ¡«and‘4Ïmu‘‰ffŽ‘®denominatorŽ‘PK]«are–4again“recalculated.‘fÛOnly“one“excš¸ãhange“has“bGeen“needed“in“the“cases“I'v˜e“tested“soŽ¡far.Ž¡‘ 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ÝdoÈ ÝnotÈ ÝdetermineÈ ÝaÈ Ž’ÿÝplane.\n"Ž’JŒô·‘ÇÝ"ReturningÈ Ýfalse.\n\Ž‘kÆÜn"Ž‘y”V·Ž¡‘FÏ ushŽ‘[¹«;Ž¡‘(·gŽ¡‘(ÂreturnŽ‘Kæ¾ÏfalseŽ‘`–«;Ž¡‘·gŽ¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(·:Ïis‘‰ffŽ–®on‘‰ffŽ“planeŽ‘1‚Ú«(Ïq‘‰ffŽ‘®plŽ‘}µ«))‘·fŽ¡‘(ÂifŽ‘3´ü«(Ïverb‘ÿ}'oseŽ‘ ‘]«)‘·fŽŽŽŒ‹ø Z$ Šn ý‘ì«248›ÂPOINT–ÕX­LIES“WITHIN“TRIANGLE’ÑÝ 3DLDFPRÃŽG˜·x«901Ž €n ý•@P‘2Ïc‘ÿ}'errŽ‘K¥]·‘ï²Ý"WARNING!È ÝInÈ ÝPoint::Ž‘oïvis_in_triangle():\n"Ž’àeT·ޤ ‘FÝ"*thisÈ Ýdoesn'tÈ ÝlieÈ ÝiŽ’®ÿËnÈ ÝtheÈ ÝplaneÈ ÝdeterminŽ’ÿedÈ Ý"Ž’1 /·‘†DÝ"byÈ ÝtheÈ Ýarguments.\nŽ‘l†"Ž‘uÒ±·Ž¡‘FÝ"ReturningÈ Ýfalse.\n\Ž’®ÿËn"Ž’¼ÍE·‘ÇÏ ushŽ‘€«;Ž¡‘(·gŽ¡‘(ÂreturnŽ‘Kæ¾ÏfalseŽ‘`–«;Ž¡‘·gŽ©‘ÂP•®9oin“tŽ‘<ï ±tŽ‘@Œ«(·Ž‘ÏthisŽ‘ë·«);Ž¡‘ÂP•®9oin“tŽ‘<ï ±cŽ‘AC{«(Ïp0Ž‘ À«);Ž¡‘ÂP•®9oin“tŽ‘<ï ±dŽ‘B$«(Ïp1Ž‘ À«);Ž¡‘ÂP•®9oin“tŽ‘<ï ±eŽ‘A—¡«(Ïp2Ž‘ 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+[¬LDF‘T2003.08.14.«]Ž‘Y;Setting‘UUÏverb‘ÿ}'oseŽ‘'<«to‘UUÏtrueŽ‘oB«if‘UUÝVERBOSE_GLOBALŽ–P°è«is‘UUÏtrueŽ‘í«.‘qÇAdded‘UUÝVERBOSE_GLOBALŽ“«toŽ¡Èpspglb.web‘UU«toGda¸ãy‘ÿ*ª.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·Ž¡‘ +Âb•QÇo“olŽ‘#é¤P•®9oin“tŽ‘@ƒð«::‘Ïis‘‰ffŽ–®in‘‰ffŽ“triangleŽ‘:¥«(ÂconstŽ‘rßP•®9oin“tŽ‘=ª¹«&Ž‘Eq×Ïp0Ž‘Qˆ—±;‘ª¨ÂconstŽ‘ ‡P•®9oin“tŽ‘?Ua«&Ž‘GÏp1Ž–S3?±;‘ª¨ÂconstŽ‘ ‡P•®9oin“tŽ‘?Ua«&Ž‘GÏp2Ž“±;‘ª¨Âb•QÇo“olŽ‘”KÏverb‘ÿ}'oseŽ‘<%¨«)Ž¡‘2ÂconstŽ‘LÕR·f‘UUÂb•QÇo“olŽ‘ö»ÝDEBUGŽ‘:„,«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘)´û«(ÝVERBOSE_GLOBALŽ‘J>«)‘Ïverb‘ÿ}'oseŽ‘(Xu«=‘ÇÏtrueŽ‘‹°«;ަ‘ÂP®9athŽ‘9æ¼±qŽ‘>¹f«;ަ‘±qŽ‘%™Å«+=ŽŽ‘7ïÏp0Ž‘DÙ«;Ž¡‘±qŽ‘%™Å«+=ŽŽ‘7ïÏp1Ž‘DÙ«;Ž¡‘±qŽ‘%™Å«+=ŽŽ‘7ïÏp2Ž‘DÙ«;ަ‘ÂPlaneŽ‘>6»Ïq‘‰ffŽ‘®plŽ‘R{ˆ«=‘DZqŽ‘™Â:Ïget‘‰ffŽ‘®planeŽ‘(vè«(‘ª¨);ަ‘ÂifŽ‘)´û«(Ïq‘‰ffŽ‘®plŽ‘DÍ·‘ÇÝINVALID_PLANEŽ‘GY«)‘·fŽ¡‘(ÂifŽ‘3´ü«(Ïverb‘ÿ}'oseŽ‘ ‘]«)‘·fŽ¡‘2Ïc‘ÿ}'errŽ‘K¥]·‘ï²Ý"WARNING!È ÝInÈ ÝPoint::Ž‘oïvis_in_triangle():\n"Ž’àeT·Ž¡‘FÝ"TheÈ ÝPointÈ ÝargumentsŽ’®ÿËÈ ÝdoÈ ÝnotÈ ÝdetermineÈ ÝaÈ Ž’ÿÝplane.\n"Ž’JŒô·‘ÇÝ"ReturningÈ Ýfalse.\n\Ž‘kÆÜn"Ž‘y”V·Ž¡‘FÏ ushŽ‘[¹«;Ž¡‘(·gŽ¡‘(ÂreturnŽ‘Kæ¾ÏfalseŽ‘`–«;Ž¡‘·gŽ¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(·:Ïis‘‰ffŽ–®on‘‰ffŽ“planeŽ‘1‚Ú«(Ïq‘‰ffŽ‘®plŽ‘}µ«))‘·fŽ¡‘(ÂifŽ‘3´ü«(Ïverb‘ÿ}'oseŽ‘ ‘]«)‘·fŽŽŽŒ‹û W' Šn ý‘ì·x«904›­3DLDFPRÃŽG’ÑÝ ÂPOINT–ÕX­LIES“WITHIN“TRIANGLE˜«251Ž €n ý•@P‘2Ïc‘ÿ}'errŽ‘K¥]·‘ï²Ý"WARNING!È ÝInÈ ÝPoint::Ž‘oïvis_in_triangle():\n"Ž’àeT·ޤ ‘FÝ"*thisÈ Ýdoesn'tÈ ÝlieÈ ÝiŽ’®ÿËnÈ ÝtheÈ ÝplaneÈ ÝdeterminŽ’ÿedÈ Ý"Ž’1 /·‘†DÝ"byÈ ÝtheÈ Ýarguments.\nŽ‘l†"Ž‘uÒ±·Ž¡‘FÝ"ReturningÈ Ýfalse.\n\Ž’®ÿËn"Ž’¼ÍE·‘ÇÏ ushŽ‘€«;Ž¡‘(·gŽ¡‘(ÂreturnŽ‘Kæ¾ÏfalseŽ‘`–«;Ž¡‘·gŽ©‘ÂP•®9oin“tŽ‘<ï ±tŽ‘@Œ«(·Ž‘ÏthisŽ‘ë·«);Ž¡‘ÂP•®9oin“tŽ‘<ï ±cŽ‘AC{«(Ïp0Ž‘ À«);Ž¡‘ÂP•®9oin“tŽ‘<ï ±dŽ‘B$«(Ïp1Ž‘ À«);Ž¡‘ÂP•®9oin“tŽ‘<ï ±eŽ‘A—¡«(Ïp2Ž‘ À«);ަ‘±tŽ‘!œu:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);Ž¡‘±cŽ‘"SÞ:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);Ž¡‘±dŽ‘#4u:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);Ž¡‘±eŽ‘"¨:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘(ÏshowŽ‘>‹«(Ý"t:"Ž‘†\«);Ž¡‘(±cŽ‘,Sß:ÏshowŽ‘Šÿ«(Ý"c:"Ž‘†\«);Ž¡‘(±dŽ‘-4v:ÏshowŽ‘Šÿ«(Ý"d:"Ž‘†\«);Ž¡‘(±eŽ‘,¨:ÏshowŽ‘Šÿ«(Ý"e:"Ž‘†\«);Ž¡‘·gަ‘ÂrealŽ‘4³1Ït‘‰ffŽ‘®xŽ‘DÕ‚«=‘DZtŽ‘cŠ:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Mþ«[0Ž‘];Ž¡‘ÂrealŽ‘4³1Ït‘‰ffŽ‘®yŽ‘D»1«=‘DZtŽ‘cŠ:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Mþ«[1Ž‘];Ž¡‘ÂrealŽ‘4³1Ït‘‰ffŽ‘®zŽ‘DO«=‘DZtŽ‘cŠ:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Mþ«[2Ž‘];Ž¡‘ÂrealŽ‘4³1Ïc‘‰ffŽ‘®xŽ‘Fž«=‘DZcŽ‘ó:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Mþ«[0Ž‘];Ž¡‘ÂrealŽ‘4³1Ïc‘‰ffŽ‘®yŽ‘FM«=‘DZcŽ‘ó:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Mþ«[1Ž‘];Ž¡‘ÂrealŽ‘4³1Ïc‘‰ffŽ‘®zŽ‘E–8«=‘DZcŽ‘ó:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Mþ«[2Ž‘];Ž¡‘ÂrealŽ‘4³1Ïd‘‰ffŽ‘®xŽ‘FŸw«=‘DZdŽ‘ûŠ:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Mþ«[0Ž‘];Ž¡‘ÂrealŽ‘4³1Ïd‘‰ffŽ‘®yŽ‘F…&«=‘DZdŽ‘ûŠ:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Mþ«[1Ž‘];Ž¡‘ÂrealŽ‘4³1Ïd‘‰ffŽ‘®zŽ‘F«=‘DZdŽ‘ûŠ:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Mþ«[2Ž‘];Ž¡‘ÂrealŽ‘4³1Ïe‘‰ffŽ‘®xŽ‘Fž«=‘DZeŽ‘o:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Mþ«[0Ž‘];Ž¡‘ÂrealŽ‘4³1Ïe‘‰ffŽ‘®yŽ‘FM«=‘DZeŽ‘o:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Mþ«[1Ž‘];Ž¡‘ÂrealŽ‘4³1Ïe‘‰ffŽ‘®zŽ‘E–8«=‘DZeŽ‘o:Ïworld‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘Mþ«[2Ž‘];Ž¡‘ÂrealŽ‘4³1Ïlamb‘ÿ}'da‘‰ffŽ‘®denominatorŽ’‘øð«=‘Ç(((Ïe‘‰ffŽ‘®xŽ–Û5·‘8àÏc‘‰ffŽ‘®xŽ“«)–8à·“«(Ïd‘‰ffŽ‘®yŽ‘C½·“Ïc‘‰ffŽ‘®yŽ›Àä«))“·“«((Ïe‘‰ffŽ‘®yŽ˜·“Ïc‘‰ffŽ‘®yŽ˜«)“·“«(Ïd‘‰ffŽ‘®xŽ‘^·“Ïc‘‰ffŽ‘®xŽ‘Û5«)));Ž¡‘ÂrealŽ‘4³1Ïmu‘‰ffŽ‘®denominatorŽ’\†«=‘Ç((Ïe‘‰ffŽ‘®xŽ–Û5·‘8àÏc‘‰ffŽ‘®xŽ“«)–8à·“«(Ïd‘‰ffŽ‘®yŽ‘C½·“Ïc‘‰ffŽ‘®yŽ›Àä«))“·“«((Ïe‘‰ffŽ‘®yŽ˜·“Ïc‘‰ffŽ‘®yŽ˜«)“·“«(Ïd‘‰ffŽ‘®xŽ‘^·“Ïc‘‰ffŽ‘®xŽ‘Û5«));Ž¡‘Âb•QÇo“olŽ‘7¡iÏexchange‘‰ffŽ–®y‘‰ffŽ“zŽ‘sV«=‘ÇÏfalseŽ‘v\«;Ž¡‘Âb•QÇo“olŽ‘7¡iÏexchange‘‰ffŽ–®x‘‰ffŽ“zŽ‘sŠ«=‘ÇÏfalseŽ‘v\«;‘UUÂifŽ‘ M«(Ïlamb‘ÿ}'da‘‰ffŽ‘®denominatorŽ‘]E¿·‘Ç«0Ž‘ ÿù·_‘8àÏmu‘‰ffŽ‘®denominatorŽ‘Nâ5·‘Ç«0Ž‘Ç)‘UU·fŽ¡‘ÂifŽ‘+Hˆ«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘Àá·‘gªÝ"lambda_denominatorÈ Ž‘ngnÝorÈ Ýmu_denominatorÈ Ý==Ž’×g2È Ý0.È Ý"Ž’÷•5·Ž¡‘<Ý"ExchangingÈ ÝyÈ ÝandÈ Ýz-Ž’¤ÿÊcoordinates.\n"Ž’÷ ·‘ÇÏ ushŽ‘€«;ަ‘ÂrealŽ‘4³1ÏtempŽ‘K ¥«;ަ‘ÏtempŽ‘7!«=‘ÇÏt‘‰ffŽ‘®yŽ‘«;Ž¡‘Ït‘‰ffŽ‘®yŽ‘.«=‘ÇÏt‘‰ffŽ‘®zŽ‘›ë«;Ž¡‘Ït‘‰ffŽ‘®zŽ‘-›î«=‘ÇÏtempŽ‘!Œ«;Ž¡‘ÏtempŽ‘7!«=‘ÇÏc‘‰ffŽ‘®yŽ‘O«;Ž¡‘Ïc‘‰ffŽ‘®yŽ‘/O«=‘ÇÏc‘‰ffŽ‘®zŽ‘ã«;Ž¡‘Ïc‘‰ffŽ‘®zŽ‘.ã «=‘ÇÏtempŽ‘!Œ«;Ž¡‘ÏtempŽ‘7!«=‘ÇÏd‘‰ffŽ‘®yŽ‘Ñõ«;Ž¡‘Ïd‘‰ffŽ‘®yŽ‘/Ñø«=‘ÇÏd‘‰ffŽ‘®zŽ‘eà«;Ž¡‘Ïd‘‰ffŽ‘®zŽ‘/eã«=‘ÇÏtempŽ‘!Œ«;Ž¡‘ÏtempŽ‘7!«=‘ÇÏe‘‰ffŽ‘®yŽ‘O«;Ž¡‘Ïe‘‰ffŽ‘®yŽ‘/O«=‘ÇÏe‘‰ffŽ‘®zŽ‘ã«;Ž¡‘Ïe‘‰ffŽ‘®zŽ‘.ã -«=‘ÇÏtempŽ‘!Œ«;ŽŽŽŒ‹ù iº Šn ý‘ì·x«901›­3DLDFPRÃŽG’ÑÝ ÂPOINT–ÕX­LIES“WITHIN“TRIANGLE˜«249Ž €n ý•@P‘Ïlamb‘ÿ}'da‘‰ffŽ‘®denominatorŽ‘{E«=‘Ç(((Ïe‘‰ffŽ‘®xŽ–Û5·‘8àÏc‘‰ffŽ‘®xŽ“«)–8à·“«(Ïd‘‰ffŽ‘®yŽ‘C½·“Ïc‘‰ffŽ‘®yŽ›Àä«))“·“«((Ïe‘‰ffŽ‘®yŽ˜·“Ïc‘‰ffŽ‘®yŽ˜«)“·“«(Ïd‘‰ffŽ‘®xŽ‘^·“Ïc‘‰ffŽ‘®xŽ‘Û5«)));ޤ ‘Ïmu‘‰ffŽ‘®denominatorŽ‘j©X«=‘Ç((Ïe‘‰ffŽ‘®xŽ–Û5·‘8àÏc‘‰ffŽ‘®xŽ“«)–8à·“«(Ïd‘‰ffŽ‘®yŽ‘C½·“Ïc‘‰ffŽ‘®yŽ›Àä«))“·“«((Ïe‘‰ffŽ‘®yŽ˜·“Ïc‘‰ffŽ‘®yŽ˜«)“·“«(Ïd‘‰ffŽ‘®xŽ‘^·“Ïc‘‰ffŽ‘®xŽ‘Û5«));Ž¡‘ÂifŽ‘)´û«(·:«(Ïlamb‘ÿ}'da‘‰ffŽ‘®denominatorŽ‘]E¿·‘Ç«0Ž‘ ÿù·_‘8àÏmu‘‰ffŽ‘®denominatorŽ‘Nâ5·‘Ç«0Ž‘Ç))‘·fŽ¡‘(ÂifŽ‘5^Ö«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘æ ·‘ŒÖÝ"ExchangingÈ ÝyÈ ÝandÈ Ýz-Ž‘nŒšcoordinatesÈ Ýworked.\Ž’×Œ^n"Ž’è–·Ž¡‘FÝ"lambda_denominatorÈ Ž’®ÿËÝandÈ Ýmu_denominatorÈ ÝaŽ’ÿreÈ ÝnoÈ ÝlongerÈ Ý0.\n"Ž’yÌÙ·‘ÇÏ ushŽ‘€«;Ž¡‘(Ïexchange‘‰ffŽ–®y‘‰ffŽ“zŽ‘c´›«=‘ÇÏtrueŽ‘‹°«;Ž¡‘·gŽ¡‘ÂelseŽ‘4.7·fŽ¡‘ÂifŽ‘+Ϋ(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘}·‘#ÊÝ"ExchangingÈ ÝyÈ ÝandÈ Ýz-Ž‘n#ŽcoordinatesÈ Ýdidn'tÈ ÝwŽ’×#Rork.\n"Ž’o·Ž¡‘<Ý"ExchangingÈ ÝxÈ ÝandÈ Ýz-Ž’¤ÿÊcoordinates.\n"Ž’÷ ·‘ÇÏ ushŽ‘€«;ŽŸÂ902.‘ ü«First,–UUput“things“bacš¸ãk“the“w˜a˜y“they“w˜ere.‘qÇIt's“w˜asteful,“but“less“confusing.‘qÇ[¬LDF‘T2003.06.24.«]ŽŽŸ·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·Ž¡‘ +«=‘ÇÏtempŽ‘!Œ«;ŽŽŽŒ‹ü f’ Šn ý‘ì«252›ÂPOINT–ÕX­LIES“WITHIN“TRIANGLE’ÑÝ 3DLDFPRÃŽG˜·x«904Ž €n ý•@P‘Ïlamb‘ÿ}'da‘‰ffŽ‘®denominatorŽ‘{E«=‘Ç(((Ïe‘‰ffŽ‘®xŽ–Û5·‘8àÏc‘‰ffŽ‘®xŽ“«)–8à·“«(Ïd‘‰ffŽ‘®yŽ‘C½·“Ïc‘‰ffŽ‘®yŽ›Àä«))“·“«((Ïe‘‰ffŽ‘®yŽ˜·“Ïc‘‰ffŽ‘®yŽ˜«)“·“«(Ïd‘‰ffŽ‘®xŽ‘^·“Ïc‘‰ffŽ‘®xŽ‘Û5«)));ޤ ‘Ïmu‘‰ffŽ‘®denominatorŽ‘j©X«=‘Ç((Ïe‘‰ffŽ‘®xŽ–Û5·‘8àÏc‘‰ffŽ‘®xŽ“«)–8à·“«(Ïd‘‰ffŽ‘®yŽ‘C½·“Ïc‘‰ffŽ‘®yŽ›Àä«))“·“«((Ïe‘‰ffŽ‘®yŽ˜·“Ïc‘‰ffŽ‘®yŽ˜«)“·“«(Ïd‘‰ffŽ‘®xŽ‘^·“Ïc‘‰ffŽ‘®xŽ‘Û5«));Ž¡‘ÂifŽ‘)´û«(·:«(Ïlamb‘ÿ}'da‘‰ffŽ‘®denominatorŽ‘]E¿·‘Ç«0Ž‘ ÿù·_‘8àÏmu‘‰ffŽ‘®denominatorŽ‘Nâ5·‘Ç«0Ž‘Ç))‘·fŽ¡‘(ÂifŽ‘5^Ö«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘æ ·‘ŒÖÝ"ExchangingÈ ÝyÈ ÝandÈ Ýz-Ž‘nŒšcoordinatesÈ Ýworked.\Ž’×Œ^n"Ž’è–·Ž¡‘FÝ"lambda_denominatorÈ Ž’®ÿËÝandÈ Ýmu_denominatorÈ ÝaŽ’ÿreÈ ÝnoÈ ÝlongerÈ Ý0.\n"Ž’yÌÙ·‘ÇÏ ushŽ‘€«;Ž¡‘(Ïexchange‘‰ffŽ–®y‘‰ffŽ“zŽ‘c´›«=‘ÇÏtrueŽ‘‹°«;Ž¡‘·gŽ¡‘ÂelseŽ‘4.7·fŽ¡‘ÂifŽ‘+Ϋ(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘}·‘#ÊÝ"ExchangingÈ ÝyÈ ÝandÈ Ýz-Ž‘n#ŽcoordinatesÈ Ýdidn'tÈ ÝwŽ’×#Rork.\n"Ž’o·Ž¡‘<Ý"ExchangingÈ ÝxÈ ÝandÈ Ýz-Ž’¤ÿÊcoordinates.\n"Ž’÷ ·‘ÇÏ ushŽ‘€«;ŽŸÂ905.‘ ü«First,–UUput“things“bacš¸ãk“the“w˜a˜y“they“w˜ere.‘qÇIt's“w˜asteful,“but“less“confusing.‘qÇ[¬LDF‘T2003.06.24.«]ŽŽŸ·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·Ž¡‘ ÏtempŽ‘#!«=‘ÇÏt‘‰ffŽ‘®yŽ‘«;Ž¡‘ Ït‘‰ffŽ‘®yŽ‘«=‘ÇÏt‘‰ffŽ‘®zŽ‘›ë«;Ž¡‘ Ït‘‰ffŽ‘®zŽ‘›ì«=‘ÇÏtempŽ‘!Œ«;Ž¡‘ @@ -3312,7 +3357,7 @@ Ïd‘‰ffŽ‘®zŽ‘eá«=‘ÇÏtempŽ‘!Œ«;Ž¡‘ ÏtempŽ‘#!«=‘ÇÏe‘‰ffŽ‘®yŽ‘O«;Ž¡‘ Ïe‘‰ffŽ‘®yŽ‘O«=‘ÇÏe‘‰ffŽ‘®zŽ‘ã«;Ž¡‘ -Ïe‘‰ffŽ‘®zŽ‘ã«=‘ÇÏtempŽ‘!Œ«;ŽŽŽŒ‹ú { Šn ý‘ì«250›ÂPOINT–ÕX­LIES“WITHIN“TRIANGLE’ÑÝ 3DLDFPRÃŽG˜·x«903Ž €n ý•@PÂ903.‘ ü«No•¸ãw,›UUexc“hange˜the˜x˜and˜z-coGordinates.‘qÇ[¬LDF‘T2003.06.24.«]ŽŽ©§·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ +Ïe‘‰ffŽ‘®zŽ‘ã«=‘ÇÏtempŽ‘!Œ«;ŽŽŽŒ‹ý xZ Šn ý‘ì·x«906›­3DLDFPRÃŽG’ÑÝ ÂPOINT–ÕX­LIES“WITHIN“TRIANGLE˜«253Ž €n ý•@PÂ906.‘ ü«No•¸ãw,›UUexc“hange˜the˜x˜and˜z-coGordinates.‘qÇ[¬LDF‘T2003.06.24.«]ŽŽ©ª·h–ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«functions‘@­285“·i‘Ç«+·ޤ ‘ ÏtempŽ‘#!«=‘ÇÏt‘‰ffŽ‘®xŽ‘"Q«;Ž¡‘ Ït‘‰ffŽ‘®xŽ‘"R«=‘ÇÏt‘‰ffŽ‘®zŽ‘›ë«;Ž¡‘ Ït‘‰ffŽ‘®zŽ‘›ì«=‘ÇÏtempŽ‘!Œ«;Ž¡‘ @@ -3340,91 +3385,91 @@ Âb•QÇo“olŽ‘#¡g±bŽ‘*³)«=–Ç(Ïlamb‘ÿ}'daŽ‘"6·“«0Ž› ÿù·^‘8àÏmuŽ‘Ò‘·“«0Ž˜·^–8à«((Ïlamb‘ÿ}'daŽ‘!§ã«+“ÏmuŽ‘ y«)–Ç·“«1Ž‘Ç));ަ‘ ÂifŽ‘´ù«(Ïverb‘ÿ}'oseŽ‘ ‘]«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"InÈ ÝPoint::is_in_triŽ‘kÆÜangle:\n"Ž’›)«;Ž¡‘ÂifŽ‘´ú«(±bŽ‘Jª«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"TheÈ ÝPointÈ ÝliesÈ ÝwithŽ‘kÆÜinÈ ÝtheÈ Ýtriangle.È Ý"Ž’Í”&·‘ÇÝ"ReturningÈ Ýtrue."Ž‘\M«;Ž¡‘ÂelseŽ‘+ØáÏc‘ÿ}'outŽ‘Aù0·‘ÇÝ"TheÈ ÝPointÈ Ýdoesn'tÈ ÝlŽ‘kÆÜieÈ ÝwithinÈ ÝtheÈ ÝtriangŽ’ÔÆ le.È Ý"Ž’òT·‘ÇÝ"ReturningÈ Ýfalse."Ž‘aÍJ«;Ž¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÏend‘‚ØlŽ–ò·‘ÇÏend‘‚ØlŽ“·‘ÇÏ ushŽ‘€«;Ž¡‘ ·gŽ¡‘ -ÂreturnŽ‘-æ»±bŽ‘21e«;‘qÇ·gޤÂ904.‘ üManipulating‘ÕTP®9aths.Ž¡905.‘ üSet‘ÕTcycle.ŽŸ#sŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽŸ ‘ -«[¬LDF‘T2002.4.7.«]Ž‘OÈ?Changed,–UUso“that“the“argumenš¸ãt“Âb•QÇo“olŽ‘ö»±cŽ‘$Ÿë«is“ÏtrueŽ‘oB«b˜y“default.ŽŽŽŒ‹û „ö Šn ý‘ì·x«905–­3DLDFPRÃŽG’1ìSET‘ÕXCYCLE“«251Ž €n ý•@P‘ -[¬LDF‘T2002.11.05.«]Ž‘Y;Made‘UUÂb•QÇo“olŽ‘ö»±cŽ‘$Ÿë«argumen¸ãt‘UUÂconstŽ‘*¢«.ޤŸüÈ„`Ê‘ 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-[¬LDF‘T2003.07.16.«]Ž‘Y ½Added–X×error“handling“coGde“for“the“case“that“this“function“is“called“with“ÏassignŽ‘"ã·‘ÌðÏfalseŽ‘|4«.ަI'v•¸ãe›íƒno“w˜added˜a˜ÂconstŽ‘ °S«v“ersion,‘Fso˜there's˜no˜need˜to˜call˜this˜v“ersion˜with˜ÏassignŽ‘!··‘ÇÏfalseŽ‘v\«.‘O,If˜ÏassignŽ‘!¶"«is˜ÏfalseŽ‘œÇ«,ަthe‘UUÂconstŽ‘!÷«vš¸ãersion–UUis“called,“so“I“could“simplify“the“coGde“in“this“v˜ersion.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·ަ‘ -ÂP®9athŽ‘%æºÏr‘ÿ}'everseŽ‘E“«(Âb•QÇo“olŽ‘¡fÏassignŽ‘5|‚«);ŽŸÂ909.Ž¡·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ަ‘ -ÂP®9athŽ‘%æºP®9athŽ‘?x"«::‘Ïr‘ÿ}'everseŽ‘ ¬f«(Âb•QÇo“olŽ‘¡fÏassignŽ‘5|‚«)·f‘UUÂb•QÇo“olŽ‘ö»ÝDEBUGŽ‘:„,«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=Ž¡‘ÂifŽ‘)´û«(Ïis‘‰ffŽ‘®cycleŽ‘!O«(‘ª®))‘±=·‘ÿý«Return‘UU·Ž‘UVÏthisŽ––a«if‘UU·Ž‘UVÏthisŽ“«is–UUa“cycle.‘o·±=ަ‘·fަ‘(Ïc‘ÿ}'errŽ‘=÷2·‘AˆÝ"ERROR!È ÝInÈ ÝPath::revŽ‘lALerse().\n"Ž’¤‰·‘AˆÝ"*thisÈ ÝisÈ ÝaÈ Ýcycle.È ÝCŽ‘lALan'tÈ Ýreverse.\n"Ž’Ä ·ަ‘<Ý"ReturningÈ Ý*this.\n\Ž’¤ÿÊn"Ž’°,«;ަ‘(ÂreturnŽ‘Kæ¾·Ž‘Pæ¿ÏthisŽ‘aÒu«;ަ‘·gަ‘ÂifŽ‘)´û«(·:ÏassignŽ‘Û«)‘·fަ‘(Ïc‘ÿ}'errŽ‘?}É·‘ÈÝ"WARNING!È ÝInÈ ÝPath::rŽ‘mÇãeverse(bool):\n"Ž’Ç:·‘ÈÝ"assignÈ Ý==È Ýfalse.È ÝDoŽ‘mÇã\ŽŽ¦‘<n'tÈ ÝcallÈ ÝthisÈ ÝfunctiŽ’¤ÿÊonÈ Ý"Ž’¿¦©·‘ ƒÝ"withÈ ÝfalseÈ ÝasÈ ÝitsÈ ÝaŽ‘n Grgument.\n"Ž’­‡·ަ‘<Ý"UseÈ Ýreverse()È ÝwithoŽ’¤ÿÊutÈ ÝanÈ ÝargumentÈ ÝinsteŽ’ ÿŽad.\n"Ž’0Ìü·‘ÇÝ"CallingÈ Ýreverse(voiŽ‘kÆÜd).\n\n"Ž’™D·ަ‘<Ï ushŽ‘Q¹«;ަ‘(ÂreturnŽ‘Kæ¾Ïr‘ÿ}'everseŽ‘k“ «(‘ª®);ަ‘·gŽŽŽŒ‹ü —÷ Šn ý‘ì«252–­WITH‘ÕXASSIGNMENT’ ¨t3DLDFPRÃŽG“·x«910Ž €n ý•@PÂ910.‘ ü«[¬LDF‘T2002.4.6.«]Ž‘QΆIf–Û¡there“is“more“than“one“connector,‘ý4but“there“isn't“an“explicit“connector“for“ev¸ãeryޤ pair–ìÒof“ÂP•®9oin“tsŽ‘'ý(«in“Ïp‘ÿ}'ointsŽ‘g«,‘±then“wš¸ãe“ha˜v˜e“to“ ll“up“Ïc–ÿ}'onne“ctorsŽ‘7 Ò«so“that“there“is“one“for“eac˜h“pair“of“ÂP•®9oin“tsŽ‘$V«.Ž¡Otherwise,–UUthe“connectors“and“the“ÂP•®9oin“tsŽ‘&Î.«wš¸ãon't“matc˜h“up“propGerly“when“w˜e“rev˜erse“them.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ +[¬LDF‘T2003.07.16.«]Ž‘Y ½Added–X×error“handling“coGde“for“the“case“that“this“function“is“called“with“ÏassignŽ‘"ã·‘ÌðÏfalseŽ‘|4«.ަI'v•¸ãe›íƒno“w˜added˜a˜ÂconstŽ‘ °S«v“ersion,‘Fso˜there's˜no˜need˜to˜call˜this˜v“ersion˜with˜ÏassignŽ‘!··‘ÇÏfalseŽ‘v\«.‘O,If˜ÏassignŽ‘!¶"«is˜ÏfalseŽ‘œÇ«,ަthe‘UUÂconstŽ‘!÷«vš¸ãersion–UUis“called,“so“I“could“simplify“the“coGde“in“this“v˜ersion.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·ަ‘ +ÂP®9athŽ‘%æºÏr‘ÿ}'everseŽ‘E“«(Âb•QÇo“olŽ‘¡fÏassignŽ‘5|‚«);ŽŸÂ912.Ž¡·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ަ‘ +ÂP®9athŽ‘%æºP®9athŽ‘?x"«::‘Ïr‘ÿ}'everseŽ‘ ¬f«(Âb•QÇo“olŽ‘¡fÏassignŽ‘5|‚«)·f‘UUÂb•QÇo“olŽ‘ö»ÝDEBUGŽ‘:„,«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=Ž¡‘ÂifŽ‘)´û«(Ïis‘‰ffŽ‘®cycleŽ‘!O«(‘ª®))‘±=·‘ÿý«Return‘UU·Ž‘UVÏthisŽ––a«if‘UU·Ž‘UVÏthisŽ“«is–UUa“cycle.‘o·±=ަ‘·fަ‘(Ïc‘ÿ}'errŽ‘=÷2·‘AˆÝ"ERROR!È ÝInÈ ÝPath::revŽ‘lALerse().\n"Ž’¤‰·‘AˆÝ"*thisÈ ÝisÈ ÝaÈ Ýcycle.È ÝCŽ‘lALan'tÈ Ýreverse.\n"Ž’Ä ·ަ‘<Ý"ReturningÈ Ý*this.\n\Ž’¤ÿÊn"Ž’°,«;ަ‘(ÂreturnŽ‘Kæ¾·Ž‘Pæ¿ÏthisŽ‘aÒu«;ަ‘·gަ‘ÂifŽ‘)´û«(·:ÏassignŽ‘Û«)‘·fަ‘(Ïc‘ÿ}'errŽ‘?}É·‘ÈÝ"WARNING!È ÝInÈ ÝPath::rŽ‘mÇãeverse(bool):\n"Ž’Ç:·‘ÈÝ"assignÈ Ý==È Ýfalse.È ÝDoŽ‘mÇã\ŽŽ¦‘<n'tÈ ÝcallÈ ÝthisÈ ÝfunctiŽ’¤ÿÊonÈ Ý"Ž’¿¦©·‘ ƒÝ"withÈ ÝfalseÈ ÝasÈ ÝitsÈ ÝaŽ‘n Grgument.\n"Ž’­‡·ަ‘<Ý"UseÈ Ýreverse()È ÝwithoŽ’¤ÿÊutÈ ÝanÈ ÝargumentÈ ÝinsteŽ’ ÿŽad.\n"Ž’0Ìü·‘ÇÝ"CallingÈ Ýreverse(voiŽ‘kÆÜd).\n\n"Ž’™D·ަ‘<Ï ushŽ‘Q¹«;ަ‘(ÂreturnŽ‘Kæ¾Ïr‘ÿ}'everseŽ‘k“ «(‘ª®);ަ‘·gŽŽŽŒ‹ÿ ”Ç Šn ý‘ì·x«913–­3DLDFPRÃŽG’ ¨tWITH‘ÕXASSIGNMENT“«255Ž €n ý•@PÂ913.‘ ü«[¬LDF‘T2002.4.6.«]Ž‘QΆIf–Û¡there“is“more“than“one“connector,‘ý4but“there“isn't“an“explicit“connector“for“ev¸ãeryޤ pair–ìÒof“ÂP•®9oin“tsŽ‘'ý(«in“Ïp‘ÿ}'ointsŽ‘g«,‘±then“wš¸ãe“ha˜v˜e“to“ ll“up“Ïc–ÿ}'onne“ctorsŽ‘7 Ò«so“that“there“is“one“for“eac˜h“pair“of“ÂP•®9oin“tsŽ‘$V«.Ž¡Otherwise,–UUthe“connectors“and“the“ÂP•®9oin“tsŽ‘&Î.«wš¸ãon't“matc˜h“up“propGerly“when“w˜e“rev˜erse“them.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ ÂifŽ‘´ù«(Ïc–ÿ}'onne“ctorsŽ‘/4.±:ÏsizeŽ›\«(‘ª¨)–DZ>“«1Ž‘ ÿù·^‘8àÏc–ÿ}'onne“ctorsŽ‘1m±:ÏsizeŽ˜«(‘ª¨)“·6«=“Ïp‘ÿ}'ointsŽ‘ë­±:ÏsizeŽ˜«(‘ª¨)–8à·“«1Ž‘8á)‘·fŽ¡‘ÂstringŽ‘5%OÏlast‘‰ffŽ‘®c–ÿ}'onne“ctorŽ‘sF«;ަ‘Ïlast‘‰ffŽ‘®c–ÿ}'onne“ctorŽ‘Tçê«=‘ÇÏc–ÿ}'onne“ctorsŽ‘1ûF±:Ïb‘ÿ}'ackŽ‘üë(‘ª¨);Ž¡‘ÂwhileŽ‘2C.«(Ïc–ÿ}'onne“ctorsŽ‘/4.±:ÏsizeŽ›\«(‘ª¨)–DZ<“Ïp‘ÿ}'ointsŽ‘ë­±:ÏsizeŽ˜«(‘ª¨)–8à·“«1Ž‘8á)‘Ïc–ÿ}'onne“ctorsŽ‘44.±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(Ïlast‘‰ffŽ‘®c–ÿ}'onne“ctorŽ‘> Ы);Ž¡‘ -·gŽŸÂ911.‘ ü«[¬LDF‘T2002.4.7.«]Ž‘PòþIf–I‘don't“explicitly“refer“to“the“ÂstdŽ‘ù«namespace“here,›%this“function“is“called,˜and“sinceŽ¡the–UUargumenš¸ãts“are“di eren˜t“from“the“one“used“for“this“function,“this“causes“an“error“at“compile“time.ަ·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ +·gŽŸÂ914.‘ ü«[¬LDF‘T2002.4.7.«]Ž‘PòþIf–I‘don't“explicitly“refer“to“the“ÂstdŽ‘ù«namespace“here,›%this“function“is“called,˜and“sinceŽ¡the–UUargumenš¸ãts“are“di eren˜t“from“the“one“used“for“this“function,“this“causes“an“error“at“compile“time.ަ·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ReversingÈ ÝconnectorŽ‘kÆÜsÈ ÝandÈ Ýpoints.\n"Ž’Ã,·‘ÇÏ ushŽ‘€«;Ž¡‘ ÂstdŽ‘øä«::Ž‘!‡"Ïr‘ÿ}'everseŽ‘A3„«(Ïc–ÿ}'onne“ctorsŽ‘/4.±:Ïb–ÿ}'e“ginŽ‘¾¨«(–ª¨)±;“Ïc–ÿ}'onne“ctorsŽ‘0ÞÖ±:ÏendŽ‘ಫ(“));Ž¡‘ ÂstdŽ‘øä«::Ž‘!‡"Ïr‘ÿ}'everseŽ‘A3„«(Ïp‘ÿ}'ointsŽ‘$•±:Ïb–ÿ}'e“ginŽ‘¾¨«(–ª¨)±;“Ïp‘ÿ}'ointsŽ‘Ï=±:ÏendŽ‘ಫ(“));Ž¡‘ ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"ShowingÈ Ýconnectors:Ž‘kÆÜ\n"Ž‘| ;«;Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂstringŽ‘Ïø·i‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=+M«=‘ÇÏc–ÿ}'onne“ctorsŽ–1ûF±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏc–ÿ}'onne“ctorsŽ“±:ÏendŽ‘ಫ(˜);‘ÿýÏiterŽ‘JûŸÿ®+‘ÿ+ŽŽ‘"«)Ž¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇŽ‘ÇÏiterŽ‘Y/·‘ÇÏend‘‚ØlŽ‘¸Ú«;Ž¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"ShowingÈ Ýpoints:\n"Ž‘g G«;Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂP•®9oin“tŽ‘ï·Ž‘#ïži‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=+M«=‘ÇÏp‘ÿ}'ointsŽ–ë­±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏp‘ÿ}'ointsŽ“±:ÏendŽ‘ಫ(˜);‘ÿýÏiterŽ‘JûŸÿ®+‘ÿ+ŽŽ‘"«)‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:ÏshowŽ‘Šÿ«(˜);Ž¡‘ÏgetcharŽ‘5%þ«(‘ª®);Ž¡‘ ·g‘±=·‘ÿýÂifŽ‘´õ«(ÝDEBUGŽ‘ÆY«)‘ÿý·±=Ž¡‘ -ÂreturnŽ‘-æ»·Ž‘2æ¼ÏthisŽ‘CÒr«;‘UU·gŽŸÂ912.– üNo‘FÌassignmen®9t.“«This–¸vš¸ãersion“merely“copies“·Ž‘¸ÏthisŽ‘[·«and“calls“Ïr‘ÿ}'everseŽ‘#db«(Ïtrueޑƫ)“on“the“cop˜y‘ÿ*ª,‘ЫreturningŽ¡the–UUreturn“v‘ÿqÇalue“of“that“function“call.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.07.16.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ -ÂP®9athŽ‘%æºÏr‘ÿ}'everseŽ‘E“«(Âv®9oidŽ‘¨ƒ«)‘UUÂconstŽ‘*¢«;ŽŸÂ913.ަ·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ +ÂreturnŽ‘-æ»·Ž‘2æ¼ÏthisŽ‘CÒr«;‘UU·gŽŸÂ915.– üNo‘FÌassignmen®9t.“«This–¸vš¸ãersion“merely“copies“·Ž‘¸ÏthisŽ‘[·«and“calls“Ïr‘ÿ}'everseŽ‘#db«(Ïtrueޑƫ)“on“the“cop˜y‘ÿ*ª,‘ЫreturningŽ¡the–UUreturn“v‘ÿqÇalue“of“that“function“call.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.07.16.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ +ÂP®9athŽ‘%æºÏr‘ÿ}'everseŽ‘E“«(Âv®9oidŽ‘¨ƒ«)‘UUÂconstŽ‘*¢«;ŽŸÂ916.ަ·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·Ž¡‘ ÂP®9athŽ‘%æºP®9athŽ‘?x"«::‘Ïr‘ÿ}'everseŽ‘ ¬f«(Âv®9oidŽ‘¨ƒ«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂP®9athŽ‘/æ»±pŽ‘7µÓ«=‘Ç·Ž‘ÇÏthisŽ‘²Ï«;ަ‘ÂreturnŽ‘7æ¼±pŽ‘<î¼:Ïr‘ÿ}'everseŽ‘¬b«(Ïtrueޑƫ);Ž¡‘ -·gŽŸÂ914.– üEqualit®9y‘ÿ +·gŽŸÂ917.– üEqualit®9y‘ÿ «.“«TO‘øáDO:–ùMI'll“need“to“makš¸ãe“all“connectors“explicit“in“order“to“mak˜e“this“w˜ork.‘ ]¯SeeŽ¡ÂopQÇeratorŽ‘+–µ«&Ž‘3]Ó(‘ª¨)–UUfor“an“example“of“hoš¸ãw“to“mak˜e“this“w˜ork.ަ·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡«#ÂifŽ‘ ´ø«0ŽŽ¡‘ -ÂvirtualŽ‘/Ôb•QÇo“olŽ‘I/:opQÇeratorŽ‘tÅï·Ž‘| «(ÂP®9athŽ‘湫&Ž‘#­×±pŽ‘(µ×«);Ž¡#ÂendifŽŽŽŽŒ‹ý ¢7 Šn ý‘ì·x«915–­3DLDFPRÃŽG’4ÃDEQUALITY“«253Ž €n ý•@PÂ915.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ «#ÂifŽ‘ ´ø«0ŽŽ¡‘ +ÂvirtualŽ‘/Ôb•QÇo“olŽ‘I/:opQÇeratorŽ‘tÅï·Ž‘| «(ÂP®9athŽ‘湫&Ž‘#­×±pŽ‘(µ×«);Ž¡#ÂendifŽŽŽŽŒ‹ žº Šn ý‘ì«256–­EQUALITY’4ÃD3DLDFPRÃŽG“·x«918Ž €n ý•@PÂ918.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ «#ÂifŽ‘ ´ø«0ŽŽ¡‘ ÂvirtualŽ‘/Ôb•QÇo“olŽ‘I/:P®9athŽ‘bÀ¢«::Ž‘iNàÂopQÇeratorŽ’”å•·Ž’œ¬³«(ÂP®9athŽ‘湫&Ž‘#­×±pŽ‘(µ×«)Ž¡‘ -·f‘ª¨gŽ¡«#ÂendifŽŽ¤916.‘ üIn®9tersection.Ž¡917.‘ üInš®9tersection–ÕTof“t˜w˜o“linear“P˜aths.‘ ü«If‘UU·Ž‘UVÏthisŽ‘–a«is–UUa“line“and“the“argumen¸ãt“Ïp‘ÿ}'aŽ‘§î«is“a“line,ޤ Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ‘M–Ö«(‘ª®)–UUcalls“the“v¸ãersion“for“ÂP•®9oin“tsŽ‘&Î.«in“Èpoints.web«.Ž¡‘ +·f‘ª¨gŽ¡«#ÂendifŽŽ¤919.‘ üIn®9tersection.Ž¡920.‘ üInš®9tersection–ÕTof“t˜w˜o“linear“P˜aths.‘ ü«If‘UU·Ž‘UVÏthisŽ‘–a«is–UUa“line“and“the“argumen¸ãt“Ïp‘ÿ}'aŽ‘§î«is“a“line,ޤ Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ‘M–Ö«(‘ª®)–UUcalls“the“v¸ãersion“for“ÂP•®9oin“tsŽ‘&Î.«in“Èpoints.web«.Ž¡‘ Other–UUkinds“of“ÂP®9athsŽ‘#ÅJ«and“other“classes“will“need“their“oš¸ãwn“v˜ersions“of“this“function.Ž¡‘ -I–UUmaš¸ãy“ha˜v˜e“a“problem“with“the“constancy“of“·Ž‘UVÏthisŽ‘–a«and“Ïp‘ÿ}'aŽ‘R™«.‘qÇIf“I“do,“just“remo˜v˜e“it.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +I–UUmaš¸ãy“ha˜v˜e“a“problem“with“the“constancy“of“·Ž‘UVÏthisŽ‘–a«and“Ïp‘ÿ}'aŽ‘R™«.‘qÇIf“I“do,“just“remo˜v˜e“it.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.04.15.«]Ž‘X Changed–_'return“v‘ÿqÇalue“from“Âb•QÇo“olu½‰™šs4Ž–Ôwrealu½‰™šs4Ž“pQÇoin®9tŽ‘Q¯¯«to“Âb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘7±m«,‘csince“I'vš¸ãe“had“to“commen˜t-Ž¡out–UUthe“vš¸ãersion“of“ÂP•®9oin“tŽ‘ï¡«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ‘N–Ú«(‘ª®)“that“uses“the“ÂLineŽ‘-«v˜ersion.Ž¡‘ [¬LDF‘T2002.04.10.«]Ž‘ZøÜChanged–Eöreturn“t¸ãypšGe“to“Âb•QÇo“olu½‰™šs4Ž–Ôwrealu½‰™šs4Ž“pQÇoin®9tŽ‘W}M«to“corresp˜ond“with“the“same“c¸ãhange“toŽ¡ÂP•®9oin“tŽ‘šL«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ‘N–Ú«(‘ª®).Ž¡‘ -[¬LDF‘T2003.07.04.«]Ž‘ZÐAdded‘6Ïtr–ÿ}'ac“eŽ› Q}«argumen¸ãt.‘ ÉkAdded–6conditional“using“Ïtr–ÿ}'ac“eŽ˜«to“cš¸ãhoGose“whic˜h“v˜ersion“ofŽ¡ÂP•®9oin“tŽ‘šL«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ‘N–Ú«(›ª®)–UUshould“bGe“called.‘qÇChanged“so“that“Ïis‘‰ffŽ‘®line‘ÿ}'arŽ‘(jÒ«(˜)“is“used“instead“ofŽ¡Ïget‘‰ffŽ–®line‘‰ffŽ“switchŽ‘?Ö}«(›ª®).‘qÇNo¸ãw–UUusing“Ïget‘‰ffŽ–®last‘‰ffŽ“p‘ÿ}'ointŽ‘=y“«(˜)“instead“of“·Ž‘UVÏp‘ÿ}'ointsŽ‘#yë«[1Ž‘].ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ -Âb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘B§œÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ’>r«(ÂconstŽ‘*¢P®9athŽ‘:[«&Ž‘AØyÏp‘ÿ}'aŽ‘LÕ½±;‘ª¨ÂconstŽ‘ÕJb•QÇo“olŽ‘9v°Ïtr–ÿ}'ac“eŽ‘RTÙ«=‘ÇÏfalseŽ‘v\«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹þ ±þ Šn ý‘ì«254‘­INTERSECTION–ÕXOF“TWšÃŽO“LINEAR“ÂP–ÿ -«A“THS’¬r™­3DLDFPR˜G‘·x«918Ž €n ý•@PÂ918.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ +[¬LDF‘T2003.07.04.«]Ž‘ZÐAdded‘6Ïtr–ÿ}'ac“eŽ› Q}«argumen¸ãt.‘ ÉkAdded–6conditional“using“Ïtr–ÿ}'ac“eŽ˜«to“cš¸ãhoGose“whic˜h“v˜ersion“ofŽ¡ÂP•®9oin“tŽ‘šL«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ‘N–Ú«(›ª®)–UUshould“bGe“called.‘qÇChanged“so“that“Ïis‘‰ffŽ‘®line‘ÿ}'arŽ‘(jÒ«(˜)“is“used“instead“ofŽ¡Ïget‘‰ffŽ–®line‘‰ffŽ“switchŽ‘?Ö}«(›ª®).‘qÇNo¸ãw–UUusing“Ïget‘‰ffŽ–®last‘‰ffŽ“p‘ÿ}'ointŽ‘=y“«(˜)“instead“of“·Ž‘UVÏp‘ÿ}'ointsŽ‘#yë«[1Ž‘].ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP®9athŽ‘<«functions‘@­656“·i‘Ç«+·Ž¡‘ +Âb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘B§œÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ’>r«(ÂconstŽ‘*¢P®9athŽ‘:[«&Ž‘AØyÏp‘ÿ}'aŽ‘LÕ½±;‘ª¨ÂconstŽ‘ÕJb•QÇo“olŽ‘9v°Ïtr–ÿ}'ac“eŽ‘RTÙ«=‘ÇÏfalseŽ‘v\«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹ ®V Šn ý‘ì·x«921‘­3DLDFPRšÃŽG’¬r™INTERSECTION–ÕXOF“TW˜O“LINEAR“ÂP–ÿ +«A“THS‘«257Ž €n ý•@PÂ921.Ž©·h–ª¨«De ne‘UUÂP®9athŽ‘<«functions‘@­657“·i‘Ç«+·ޤ ‘ Âb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘B§œP®9athŽ‘\9«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ‘N–Ú«(ÂconstŽ‘*¢P®9athŽ‘:[«&Ž‘AØyÏp‘ÿ}'aŽ‘LÕ½±;‘ª¨ÂconstŽ‘ÕJb•QÇo“olŽ‘9v°Ïtr–ÿ}'ac“eŽ‘OÁ«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂifŽ‘´ú«(Ïis‘‰ffŽ‘®line‘ÿ}'arŽ›%}«(‘ª¨)–8à·^“Ïp‘ÿ}'aŽ‘ 6$±:Ïis‘‰ffŽ‘®line‘ÿ}'arŽ˜«(‘ª¨))‘·fŽ¡‘ÂifŽ‘)´û«(Ïtr–ÿ}'ac“eŽ‘«)‘ÂreturnŽ‘(æºP•®9oin“tŽ‘E«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ‘N–Ú«(·Ž‘Ïp‘ÿ}'ointsŽ‘ $–«[0Ž›]±;‘ª¨Ïget‘‰ffŽ–®last‘‰ffŽ“p‘ÿ}'ointŽ‘;Îæ«(–ª¨)±;“·Ž‘ª©Ïp‘ÿ}'aŽ‘§í±:Ïp‘ÿ}'ointsŽ‘$•«[0Ž˜]±;Ž¡‘<Ïp‘ÿ}'aŽ‘FýJ±:Ïget‘‰ffŽ–®last‘‰ffŽ“p‘ÿ}'ointŽ‘:$>«(–ª¨)±;“Ïtr–ÿ}'ac“eŽ‘Á¹«);Ž¡‘ÂelseŽ‘5ØâreturnŽ‘YªP•®9oin“tŽ‘vDL«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ‘N–Ú«(·Ž‘Ïp‘ÿ}'ointsŽ‘ $–«[0Ž›]±;‘ª¨Ïget‘‰ffŽ–®last‘‰ffŽ“p‘ÿ}'ointŽ‘;Îæ«(–ª¨)±;“·Ž‘ª©Ïp‘ÿ}'aŽ‘§í±:Ïp‘ÿ}'ointsŽ‘$•«[0Ž˜]±;“Ïp‘ÿ}'aŽ‘ §ì±:Ïget‘‰ffŽ–®last‘‰ffŽ“p‘ÿ}'ointŽ‘:$>«(“)±;Ž¡‘<Ïtr–ÿ}'ac“eŽ‘R«);Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"Haven'tÈ ÝcodedÈ ÝthisÈ Ž‘kÆÜÝcaseÈ Ýyet.È Ý"Ž’¨Ô;·‘ÇÝ"ReturningÈ ÝINVALID_BŽ‘kÆÜOOL_POINT.\n"Ž’³T5·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_BOOL_POINTŽ’ ìï«;Ž¡‘·gŽ¡‘ -gŽŸÂ919.‘ üInš®9tersection–ßof“a“linear“P˜ath“with“a“Plane.‘ ü«[¬LDF‘T2003.06.03.«]Ž‘Z»üThis–‰function“m¸ãust“bGe“de nedŽ¡here,–UUbšGecause“ÂP®9athŽ‘<«is“an“incomplete“t¸ãyp˜e“in“Èplanes.web«.ŽŸrŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.06.03.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«De ne‘UUÂPlaneŽ‘#Œ «functions‘@­620“·i‘Ç«+·Ž¡‘ +gŽŸÂ922.‘ üInš®9tersection–ßof“a“linear“P˜ath“with“a“Plane.‘ ü«[¬LDF‘T2003.06.03.«]Ž‘Z»üThis–‰function“m¸ãust“bGe“de nedŽ¡here,–UUbšGecause“ÂP®9athŽ‘<«is“an“incomplete“t¸ãyp˜e“in“Èplanes.web«.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.06.03.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«De ne‘UUÂPlaneŽ‘#Œ «functions‘@­620“·i‘Ç«+·Ž¡‘ Âb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘B§œPlaneŽ‘`‰«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ‘N–Ú«(ÂconstŽ‘*¢P®9athŽ‘:[«&Ž‘AØy±pŽ‘Fày«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂifŽ‘´ú«(±pŽ–:Ïis‘‰ffŽ‘®line‘ÿ}'arŽ‘%}«(›ª¨))‘ÂreturnŽ‘(æºÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ‘v}«(±pŽ“:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(0Ž‘)±;˜pŽ‘²¨:Ïget‘‰ffŽ–®last‘‰ffŽ“p‘ÿ}'ointŽ‘:$>«(˜));Ž¡‘ÂelseŽ‘+Øá·fŽ¡‘Ïc‘ÿ}'errŽ‘5¨·‘òjÝ"ERROR!È ÝInÈ ÝPlane::inŽ‘mò.tersection_point(conŽ’ÖñòstÈ ÝPath&):"Ž’*£·‘òjÏend‘‚Ølޑ֖·Ž¡‘2Ý"PathÈ ÝisÈ ÝnotÈ Ýlinear!Ž’šÿÉÈ ÝReturningÈ ÝINVALID_Ž’ÿBOOL_POINT."Ž’FLé·‘ÇÏend‘‚ØlŽ–ò·‘ÇÏend‘‚ØlŽ“·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_BOOL_POINTŽ’ ìï«;Ž¡‘·gŽ¡‘ -gŽŸÂ920.– üDra®9wing‘Zaxes.“«This–“function“draš¸ãws“and“labGels“arro˜ws“for“the“main“axes“at“the“origin.‘+It“can“bGeŽ¡helpful–UUfor“determining“whether“the“\ÏupŽ‘ ž¾«"“direction“is“correct“for“a“ÂF‘ÿ +gŽŸÂ923.– üDra®9wing‘Zaxes.“«This–“function“draš¸ãws“and“labGels“arro˜ws“for“the“main“axes“at“the“origin.‘+It“can“bGeŽ¡helpful–UUfor“determining“whether“the“\ÏupŽ‘ ž¾«"“direction“is“correct“for“a“ÂF‘ÿ «oQÇcusŽ‘ J¡«.Ž¡‘ -[¬LDF‘T2003.04.01.«]Ž‘Yþ®Sometimes–KÈplaceholders“are“needed“for“the“ÏdistŽ›£ý«and“pGosition“argumen¸ãts.‘UIf“ÏdistŽ˜«is“aŽ¡n•¸ãum“bGer›Š5±x–8·“«0,–—mthen˜it's˜set˜to˜the˜default,“curren•¸ãtly˜2.5.‘gIf˜a˜pGosition˜argumen“t˜(Ïp‘ÿ}'os‘‰ffŽ‘®xޑՅ«,‘—mÏp‘ÿ}'os‘‰ffŽ‘®yŽ‘R¡«,‘—mor˜Ïp‘ÿ}'os‘‰ffŽ‘®zŽ‘ÙT«)˜isŽ¡Ý"d"Ž‘F_«,–UUit's“set“to“the“default.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +[¬LDF‘T2003.04.01.«]Ž‘Yþ®Sometimes–KÈplaceholders“are“needed“for“the“ÏdistŽ›£ý«and“pGosition“argumen¸ãts.‘UIf“ÏdistŽ˜«is“aŽ¡n•¸ãum“bGer›Š5±x–8·“«0,–—mthen˜it's˜set˜to˜the˜default,“curren•¸ãtly˜2.5.‘gIf˜a˜pGosition˜argumen“t˜(Ïp‘ÿ}'os‘‰ffŽ‘®xޑՅ«,‘—mÏp‘ÿ}'os‘‰ffŽ‘®yŽ‘R¡«,‘—mor˜Ïp‘ÿ}'os‘‰ffŽ‘®zŽ‘ÙT«)˜isŽ¡Ý"d"Ž‘F_«,–UUit's“set“to“the“default.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.02.05.«]Ž‘Z±Mo•¸ãv“ed–jËthis“function“from“Èmain.web“«to“here,‘°(so“I‘jƒcan“use“it“in“m¸ãy“examples“for“theŽ¡T‘ÿ*ªexinfo–ü¤doGcumenš¸ãtation.‘T7Also,‘aadded“additional“argumen˜ts“spšGecifying“the“p˜ositions“of“lab˜els“and“suppressingŽ¡dra¸ãwing–UUthe“axes“(and“their“labGels).Ž¡‘ [¬LDF‘T2003.04.01.«]Ž‘Z<>Added–‰Xargumen¸ãts“for“dash“pattern“(Ïddashe‘ÿ}'dŽ‘#G«)“and“pGen“(Ïpp‘ÿ}'enŽ‘6#«).‘ ÏRearranged“order“ofŽ¡argumenš¸ãts.‘HyAlso,‘tgot–ò;rid“of“the“argumen˜ts“Ïsuppr‘ÿ}'ess‘‰ffŽ‘®xŽ‘2$(«,‘tÏsuppr‘ÿ}'ess‘‰ffŽ‘®yŽ‘21«,‘tand“Ïsuppr‘ÿ}'ess‘‰ffŽ‘®zŽ‘1«.‘HyNo˜w“using“the“empt˜yŽ¡string–hö(Ý""Ž‘ b«)“in“the“argumen¸ãts“Ïp‘ÿ}'os‘‰ffŽ‘®xŽ‘>{«,‘íÝÏp‘ÿ}'os‘‰ffŽ‘®yŽ‘©«,‘íÝand“Ïp‘ÿ}'os‘‰ffŽ‘®zŽ‘"! «to“indicate“that“the“correspGonding“axes“shouldŽ¡bšGe–èsuppressed.‘ ‰Added“error“handling“co˜de“that“prinš¸ãts“a“w˜arning“to“ÏstderrŽ‘%4c«if“all“axes“are“suppressed.Ž¡([¬LDF‘T2003.05.06.«]Ž‘P†Note–a¡that“Ý""Ž‘ɤ«will“nev¸ãer“bšGe“needed“for“lab˜elling“an“axis,‘¤´b˜ecause“putting“the“lab˜el“onŽ¡top–UUof“the“ÂP•®9oin“tŽ‘"Dò«wš¸ãould“in˜terfere“with“the“arro˜w.)Ž¡‘ -[¬LDF‘T2003.04.01.«]Ž‘Y¶ Added–:argumen¸ãts“Ïshift‘‰ffŽ‘®xŽ‘ ³Ã«,‘.³Ïshift‘‰ffŽ‘®yŽ‘ Äë«,‘.³and“Ïshift‘‰ffŽ‘®zŽ‘$0—«for“adjusting“the“pšGosition“of“the“lab˜els.Ž¡Note–1that“the“adjustmen¸ãt“a ects“the“pGosition“of“the“three-dimensional“ÂP•®9oin“tŽ‘#üP«within“the“ÂLabQÇelŽ‘ rg«,‘gïÏnot‘#Ü«theŽ¡t•¸ãw“o-dimensional–¯vpro‘Ž8jected“pšGoin¸ãt.‘€)Therefore,‘Åþit's“not“p˜ossible“to“adjust“the“p˜osition“of“the“ÂLabQÇelŽ‘# O«preciselyŽŽŽŒ‹ÿ »† Šn ý‘ì·x«920–­3DLDFPRÃŽG’´šDRA‘ÿ8WING‘ÕXAXES“«255Ž €n ý•@Pwithout–Yc¸ãhanging“the“MetapšGost“co˜de.‘[TO‘HDO:“Change“Ïlab‘ÿ}'elŽ‘…ñ«(‘ª®),‘òso“that“it's“p˜ossible“to“adjust“the“p˜osition“ofޤ the–yºpGoinš¸ãts“in“the“pro‘Ž8jection!‘ÞõThis“ma˜y“opGen“a“can“of“w˜orms,–‚Óthough,“espšGecially–yºif“the“same“co˜de“is“used“toŽ¡generate–UUdraš¸ãwings“using“di eren˜t“pro‘Ž8jections“and/or“di eren˜t“ÏF‘ÿ;¼o‘ÿ}'cusesŽ‘%ÅF«.Ž¡‘ -[¬LDF‘T2003.07.13.«]Ž‘Y;Made‘UUÏddashe‘ÿ}'dŽ‘)ñ»«and‘UUÏpp‘ÿ}'enŽ‘àÍÂconstŽ‘: o«in–UUbGoth“v¸ãersions.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ©921.‘ üLength–ÕTargumen®9t“ rst.Ž¡·h–ª¨«Declare‘UUÏdr‘ÿ}'aw‘‰ffŽ‘®axesŽ‘/[+«(‘ª®)‘@­921“·i‘Çޤ ‘ +[¬LDF‘T2003.04.01.«]Ž‘Y¶ Added–:argumen¸ãts“Ïshift‘‰ffŽ‘®xŽ‘ ³Ã«,‘.³Ïshift‘‰ffŽ‘®yŽ‘ Äë«,‘.³and“Ïshift‘‰ffŽ‘®zŽ‘$0—«for“adjusting“the“pšGosition“of“the“lab˜els.Ž¡Note–1that“the“adjustmen¸ãt“a ects“the“pGosition“of“the“three-dimensional“ÂP•®9oin“tŽ‘#üP«within“the“ÂLabQÇelŽ‘ rg«,‘gïÏnot‘#Ü«theŽ¡t•¸ãw“o-dimensional–¯vpro‘Ž8jected“pšGoin¸ãt.‘€)Therefore,‘Åþit's“not“p˜ossible“to“adjust“the“p˜osition“of“the“ÂLabQÇelŽ‘# O«preciselyŽŽŽŒ‹ 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ÜstringŽŽ¡‘Ïddashe‘ÿ}'dŽ‘Epj«=‘)VÝ""Ž–/¸±;‘ª¨ÂconstŽ‘ ©ÖstringŽ‘B£¯Ïpp‘ÿ}'enŽ‘\(«=‘)VÝ""Ž“±;‘ª¨ÂconstŽ‘ ©ÖP•®9oin“tŽ‘@mÿ«&Ž‘H5Ïshift‘‰ffŽ‘®xŽ‘iü«=‘)VÏoriginŽ‘w±;‘ª¨ÂconstŽ‘ ©ÖP•®9oin“tŽŽ¡‘«&Ž‘%Ç!Ïshift‘‰ffŽ‘®yŽ‘E$q«=‘ÇÏoriginŽ–½9±;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒÏshift‘‰ffŽ‘®zŽ‘e}@«=‘ÇÏoriginŽ“±;‘ª¨ÂPictureŽ‘*œ -«&Ž‘2c(Ïpictur‘ÿ}'eŽ‘T3«=‘ÇÏcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘Dìß«);ޤ ­See–ÕXalso“section“926.Ž¡This–ÕXcoS-«&Ž‘FKÏshift‘‰ffŽ‘®xŽ‘bÊÔ±;‘ª¨ÂconstŽ‘œmP•®9oin“tŽ‘>S-«&Ž‘FKÏshift‘‰ffŽ‘®yŽ‘b°ƒ±;‘ª¨ÂconstŽ‘œmP•®9oin“tŽŽ¡‘2«&Ž‘9Ç#Ïshift‘‰ffŽ‘®zŽ‘UñF±;‘ª¨ÂPictureŽ‘*œ -«&Ž‘2c(Ïpictur‘ÿ}'eŽ‘Qkþ«)·fޤ ­See–ÕXalso“sections“923,“924,“925,“and“927.Ž¡This–ÕXco‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ© ‘ -«[¬LDF‘T2003.04.01.«]Ž‘Y;Added–UUthis“section.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«De ne‘UUÏdr‘ÿ}'aw‘‰ffŽ‘®axesŽ‘/[+«(‘ª®)‘@­922“·i‘Ç«+·ަ‘ +«&Ž‘2c(Ïpictur‘ÿ}'eŽ‘Qkþ«)·fޤ ­See–ÕXalso“sections“926,“927,“928,“and“930.Ž¡This–ÕXco‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ 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­This–ÕXco‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ +The–4ƒfolloš¸ãwing“v‘ÿqÇalues“are“returned“if“the“ÂP•®9oin“tŽ‘"N«is“in“the“same“plane“as“·Ž‘4„ÏthisŽ‘T½«and“this“function“has“w˜ork˜edŽ¡propGerly:ޤ-1Ž‘ UVThe‘UUÂP•®9oin“tŽ‘"Dò«lies–UUoutside“the“ÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘lLí«.Ž¡0Ž‘ UVThe‘UUÂP•®9oin“tŽ‘"Dò«lies–UUon“the“pGerimeter“of“the“ÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘lLí«.Ž¡1Ž‘ UVThe‘UUÂP•®9oin“tŽ‘"Dò«lies–UUinside“the“pGerimeter“of“the“ÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘lLí«.Ž¡These–UUv‘ÿqÇalues“are“returned“in“cases“where“errors“ha•¸ãv“e‘UUoGccurred:Ž¡-2Ž‘ UVThe‘UUÂP•®9oin“tŽ‘"Dò«is–UUnot“in“the“same“plane“as“the“ÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘lLí«.Ž¡-3Ž‘ UVSomething–UUhas“gone“terribly“wrong.Ž¡-4Ž‘ UVThe–UUnormal“to“the“ÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o¢B«has“0“magnitude,“i.e.,“the“ÂP•®9oin“tsŽ‘&Î.«on“theŽ© ‘ UVÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ’Œ¢C«are‘UUcolinear.Ž¡-5Ž‘ UVAn–UUerror“oGccurred“in“putting“the“ÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o¢B«in“one“of“the“ma‘Ž8jor“planes.Ž¡-6Ž‘ UVThe‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o¢B«is‘UUnon-planar.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¦‘ «[¬LDF‘T2002.04.03.«]Ž‘Y;Added–UUand“tested“all“cases.‘qÇSeems“to“w¸ãork“propGerly‘ÿ*ª.ަ‘ [¬LDF‘T2002.11.12.«]Ž‘Z’KAdded–ße\Ý\relaxŽ‘ V«"“after“the“argumen¸ãts“to“\Ý\RVŽ‘F_«"“in“the“T‘þU>ŸÓVEŽ‘ãxXŽ‘['cošGde“ab˜o•¸ãv“e–ßein“order“toަsuppress–O¦a“space“at“the“bGeginning“of“the“ rst“line“of“the“folloš¸ãwing“inden˜ted“paragraph.‘oâI‘O¥couldn't“ gure“outަa›UUw•¸ãa“y˜of˜suppressing˜the˜space˜within˜the˜de nition˜of˜Ý\RVŽ‘ñ «(whic“h˜is˜curren“tly˜\Ý\letŽ‘†\«"˜to˜Ý\ARGŽ‘Û±«).ަ‘ [¬LDF‘T2003.06.03.«]Ž‘Y;Changed–UUthe“line“where“ÂPlaneŽ‘!6¼«::‘Ïget‘‰ffŽ‘®distanc‘ÿ}'eŽ‘5y½«(‘ª®)“is“called“bGeloš¸ãw.‘qÇIt“no˜w“returns“aަÂrealu½‰™šs4Ž‘ÔwshortŽ‘2i«,–UUso“\±:“Ï rstŽ‘ @@ -3479,31 +3525,30 @@ [¬LDF‘T2003.06.14.«]Ž‘Y;Added–UUerror“handling“coGde“for“the“case“that“Ïget‘‰ffŽ‘®planeŽ‘+Ì=«(‘ª®)“fails.ަ‘ [¬LDF‘T2003.06.14.«]Ž‘X^§No–«Álonger“taking“absolute“v›ÿqÇalue“of“the“ÂrealŽ‘µ[«v˜alue“Ïr0Ž‘‰G«returned“b¸ãy“ÂPlaneŽ‘ («::‘Ïget‘‰ffŽ‘®distanc‘ÿ}'eŽ‘5y½«(‘ª®),ަsince–UUit“will“alw•¸ãa“ys–UUbšGe“p˜ositivš¸ãe,“an˜yw˜a˜y‘ÿ*ª.‘qÇCommen˜t“at“place“bGelo˜w,“where“I“made“this“c˜hange.ަ‘ [¬LDF‘T2003.07.01.«]Ž‘Y;Added–UUargumen¸ãt“Ïsuppr‘ÿ}'ess‘‰ffŽ‘®warningsŽ‘Szf«.ަ‘ -[¬LDF‘T2003.07.16.«]Ž‘YÖChanged–kðname“of“Ïc‘ÿ}'enterŽ‘"ák«argumenš¸ãt“to“Ïr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘]ã«,‘q–bGecause“I'v˜e“made“Ïc‘ÿ}'enterŽ‘"ák«a“data“mem˜bGerަof‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘lLí«.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o¢B«functions‘@­940“·i‘Ç«+·ަ‘ -ÂvirtualŽ‘/ÔsignedŽ‘RýÊshortŽ‘pÈmÏlo–ÿ}'c“ationŽ’“‰ê«(ÂP•®9oin“tŽ‘ïÏr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘7á±;‘ª¨ÂP•®9oin“tŽ‘ 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ed.‘o·±=ަ‘ÂP•®9oin“tŽ‘2ïŸÏc‘ÿ}'opy‘‰ffŽ‘®normalŽ‘læ#«=‘ÇÏc‘ÿ}'opyŽ‘W±:Ïget‘‰ffŽ‘®normalŽ‘0Št«(‘ª¨);ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'opy‘‰ffŽ‘®normalŽ‘‘ÇÂP•®9oin“tŽ‘ad«::Ž‘%ï¢ÏepsilonŽ‘E^¦«(‘ª¨))Ž¡‘±=·‘âÁ«LDF‘82003.06.14.–h Changed.“Ïr0Ž‘Ñç«will›8alw•¸ãa“ys˜b•Ge˜p“ositiv•¸ãe,‘=òso˜I‘8no“w˜longer˜tak“e˜its˜absolute˜v‘ÿqÇalue.‘±·±=Ž¡‘·fŽ¡‘ÂifŽ‘*9j«(·:Ïsuppr‘ÿ}'ess‘‰ffŽ‘®warningsŽ‘P%«)‘Ïc‘ÿ}'errŽ‘Yv·‘£ÐÝ"WARNING!È ÝInÈ ÝReg_Cl_Ž‘l£”Plane_Curve::locatioŽ’Õ£Xn().\n"Ž’þ{·Ž¡‘<Ý"PointÈ ÝisÈ ÝnotÈ ÝinÈ ÝplaŽ’¤ÿÊneÈ ÝofÈ ÝregularÈ ÝclosedŽ’ ÿŽÈ ÝplaneÈ Ýcurve.\n"Ž’hº·Ž¡‘<Ý"ReturningÈ Ý-2.\n\n"Ž’£ M·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½·Ž‘I­Û«2Ž‘N­Ü;Ž¡‘·gަ‘ÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ’€LïÏc‘ÿ}'opyŽ’”Üç«(·Ž‘ÏthisŽ‘ë·«);ަ‘ÂifŽ‘´ú«(Ïr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘¹ ·6«=‘ÇÏoriginŽ‘½9«)‘Ïpt0Ž‘0S·«=ŽŽ‘&¾ŠÏr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘Bw•·«=ŽŽ‘RÌÏc‘ÿ}'opyŽ‘f•ı:ÏshiftŽ‘}«(·Ž‘ÇÏr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘ ¹«);‘±=·‘ÿý«LDF‘UU2002.11.05.‘qÇSimpli ed.‘o·±=ަ‘ÂP•®9oin“tŽ‘2ïŸÏc‘ÿ}'opy‘‰ffŽ‘®normalŽ‘læ#«=‘ÇÏc‘ÿ}'opyŽ‘W±:Ïget‘‰ffŽ‘®normalŽ‘0Št«(‘ª¨);ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'opy‘‰ffŽ‘®normalŽ‘±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"pt0"Ž‘ÆY«);ަ‘Ïpt0Ž‘-i>±:ÏshowŽ‘Šÿ«(Ý"pt0"Ž‘ÆY«);ަ‘·gŽ¡‘ÂT‘ÿ «ransformŽ‘KÈÔÏt3Ž‘VŸ«;ަ‘ÂP•®9oin“tŽ‘2ïŸÏpt1Ž‘Eò«=‘ÇÏc‘ÿ}'opyŽ‘W±:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(0Ž‘);Ž¡‘Ïpt1Ž‘&0U·«=ŽŽ‘8…©Ïr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘Qwœ«;ަ‘Ïpt1Ž‘#i=±:Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘0•u«(Ïtrueޑƫ);Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏx‘‰ffŽ‘®axisŽ‘M~«(1Ž‘±;‘ª¨«0Ž–ª©±;‘ª¨«0Ž“);ަ‘ÂP•®9oin“tŽ‘2ïŸÏz‘‰ffŽ‘®axisŽ‘Lñ:«(0Ž‘±;‘ª¨«0Ž–ª©±;‘ª¨«1Ž“);Ž¡‘ÂifŽ‘´ú«(ÏorientationŽ‘4:W·‘ÇÝX_YŽ‘FW·_‘8àÏorientationŽ‘6s7·‘ÇÝX_ZŽ‘ w«)‘·fަ‘ÂifŽ‘)´û«(Ïpt1Ž‘0S·6«=‘ÇÏx‘‰ffŽ‘®axisŽ‘Ž`·^‘8àÏpt1Ž‘i3·6«=‘Ç·Ž‘ Ž6Ïx‘‰ffŽ‘®axisŽ‘%ž«)‘·fަ‘(Ït3Ž‘2Lϱ:Ïalign‘‰ffŽ–®with‘‰ffŽ“axisŽ‘@²x«(Ïr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘ñó±;‘ª¨Ïpt1Ž‘ã±;‘ª¨Ý'x'Ž‘ñ«);ަ‘(Ïc‘ÿ}'opyŽ‘?W·«=ŽŽ‘NåKÏr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘jžV·«=ŽŽ‘z,Ïpt0Ž’Œ\à·«=ŽŽ’›ëÏt3Ž’¦7â«;ަ‘·gަ‘gަ‘ÂelseŽ‘*.6ifŽ‘5ã.«(ÏorientationŽ‘4:W·‘ÇÝZ_YŽ‘ w«)‘·fަ‘ÂifŽ‘)´û«(Ïpt1Ž‘0S·6«=‘ÇÏz‘‰ffŽ‘®axisŽ‘“·^‘8àÏpt1Ž‘i3·6«=‘Ç·Ž‘ -Ž6Ïz‘‰ffŽ‘®axisŽ‘$Ñ«)‘·fަ‘(Ït3Ž‘2Lϱ:Ïalign‘‰ffŽ–®with‘‰ffŽ“axisŽ‘@²x«(Ïr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘ñó±;‘ª¨Ïpt1Ž‘ã±;‘ª¨Ý'z'Ž‘ñ«);ަ‘(Ïc‘ÿ}'opyŽ‘?W·«=ŽŽ‘NåKÏt3Ž‘Y2«;ަ‘(Ïr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘C¹·«=ŽŽ‘SGFÏt3Ž‘]”«;ަ‘(Ïpt0Ž‘:0W·«=ŽŽ‘I¾ŽÏt3Ž‘T Y«;ަ‘·gަ‘gŽ¡‘Ârealu½‰™šs4Ž‘ÔwpairŽ‘CpƒÏrrŽ‘MuÔ«;ަ‘ÂrealŽ‘*³0Ïpt0‘‰ffŽ‘®vŽ‘Bœ«;‘±=·‘ÿý«[¬LDF‘T2002.11.05.«]Ž‘T7V‘ÿ*ªertical.‘o·±=ަ‘ÂrealŽ‘*³0Ïpt0‘‰ffŽ‘®hŽ‘BPK«;‘±=·‘ÿý«[¬LDF‘T2002.11.05.«]Ž‘T7Horizon¸ãtal.‘o·±=Ž¡‘ÂifŽ‘´ú«(ÏorientationŽ‘4:W·‘ÇÝX_YŽ‘ w«)‘·fަ‘Ïpt0‘‰ffŽ‘®hŽ‘8d6«=‘ÇÏpt0Ž‘0S±:Ïget‘‰ffŽ‘®xŽ‘Žg«(‘ª¨);ަ‘Ïpt0‘‰ffŽ‘®vŽ‘80‡«=‘ÇÏpt0Ž‘0S±:Ïget‘‰ffŽ‘®yŽ‘t«(‘ª¨);ŽŽŽŒ‹ ?Ž Šn ý‘ì«264›­LOCA‘ÿJªTION–ÕXOF“A“POINT’ýã3DLDFPRÃŽG˜·x«946Ž €n ý•@P‘·gޤ ‘ÂelseŽ‘*.6ifŽ‘5ã.«(ÏorientationŽ‘4:W·‘ÇÝX_ZŽ‘ w«)‘·fŽ¡‘Ïpt0‘‰ffŽ‘®hŽ‘8d6«=‘ÇÏpt0Ž‘0S±:Ïget‘‰ffŽ‘®xŽ‘Žg«(‘ª¨);Ž¡‘Ïpt0‘‰ffŽ‘®vŽ‘80‡«=‘ÇÏpt0Ž‘0S±:Ïget‘‰ffŽ‘®zŽ‘«(‘ª¨);Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(ÏorientationŽ‘4:W·‘ÇÝZ_YŽ‘ w«)‘·fŽ¡‘Ïpt0‘‰ffŽ‘®hŽ‘8d6«=‘ÇÏpt0Ž‘0S±:Ïget‘‰ffŽ‘®zŽ‘«(‘ª¨);Ž¡‘Ïpt0‘‰ffŽ‘®vŽ‘80‡«=‘ÇÏpt0Ž‘0S±:Ïget‘‰ffŽ‘®yŽ‘t«(‘ª¨);Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘Ïc‘ÿ}'errŽ‘7|U·‘ƬÝ"ERROR!È ÝInÈ ÝReg_Cl_PlŽ‘oÆpane_Curve::location(Ž’ØÆ4).\n"Ž’úS9·Ž¡‘2Ý"orientationÈ ÝhasÈ ÝinvŽ’šÿÉalidÈ Ývalue:È Ý"Ž’â"·‘ÇÏorientationŽ‘7o·‘ÇÝ"\nReturningÈ Ý-5\n\n"Ž‘o\·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½·Ž‘I­Û«5Ž‘N­Ü;Ž¡‘·gŽ¡‘ÏrrŽ‘ Ìk«=‘ÇÏsolveŽ‘þã«(Ý'v'Ž‘F_±;‘ª¨Ïpt0‘‰ffŽ‘®hŽ‘Gë);‘±=·‘ÿý«[¬LDF‘T2002.11.05.«]Ž‘T7TO–UUDO:“Explain.‘o·±=Ž¡‘ÂifŽ‘´ú«(ÏrrŽ‘ +Ž6Ïz‘‰ffŽ‘®axisŽ‘$Ñ«)‘·fަ‘(Ït3Ž‘2Lϱ:Ïalign‘‰ffŽ–®with‘‰ffŽ“axisŽ‘@²x«(Ïr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘ñó±;‘ª¨Ïpt1Ž‘ã±;‘ª¨Ý'z'Ž‘ñ«);ަ‘(Ïc‘ÿ}'opyŽ‘?W·«=ŽŽ‘NåKÏt3Ž‘Y2«;ަ‘(Ïr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘C¹·«=ŽŽ‘SGFÏt3Ž‘]”«;ަ‘(Ïpt0Ž‘:0W·«=ŽŽ‘I¾ŽÏt3Ž‘T Y«;ަ‘·gަ‘gŽ¡‘Ârealu½‰™šs4Ž‘ÔwpairŽ‘CpƒÏrrŽ‘MuÔ«;ަ‘ÂrealŽ‘*³0Ïpt0‘‰ffŽ‘®vŽ‘Bœ«;‘±=·‘ÿý«[¬LDF‘T2002.11.05.«]Ž‘T7V‘ÿ*ªertical.‘o·±=ަ‘ÂrealŽ‘*³0Ïpt0‘‰ffŽ‘®hŽ‘BPK«;‘±=·‘ÿý«[¬LDF‘T2002.11.05.«]Ž‘T7Horizon¸ãtal.‘o·±=Ž¡‘ÂifŽ‘´ú«(ÏorientationŽ‘4:W·‘ÇÝX_YŽ‘ w«)‘·fަ‘Ïpt0‘‰ffŽ‘®hŽ‘8d6«=‘ÇÏpt0Ž‘0S±:Ïget‘‰ffŽ‘®xŽ‘Žg«(‘ª¨);ަ‘Ïpt0‘‰ffŽ‘®vŽ‘80‡«=‘ÇÏpt0Ž‘0S±:Ïget‘‰ffŽ‘®yŽ‘t«(‘ª¨);ŽŽŽŒ‹ ;Ä Šn ý‘ì·x«949›­3DLDFPRÃŽG’ýãLOCA‘ÿJªTION–ÕXOF“A“POINT˜«267Ž €n ý•@P‘·gޤ ‘ÂelseŽ‘*.6ifŽ‘5ã.«(ÏorientationŽ‘4:W·‘ÇÝX_ZŽ‘ w«)‘·fŽ¡‘Ïpt0‘‰ffŽ‘®hŽ‘8d6«=‘ÇÏpt0Ž‘0S±:Ïget‘‰ffŽ‘®xŽ‘Žg«(‘ª¨);Ž¡‘Ïpt0‘‰ffŽ‘®vŽ‘80‡«=‘ÇÏpt0Ž‘0S±:Ïget‘‰ffŽ‘®zŽ‘«(‘ª¨);Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(ÏorientationŽ‘4:W·‘ÇÝZ_YŽ‘ w«)‘·fŽ¡‘Ïpt0‘‰ffŽ‘®hŽ‘8d6«=‘ÇÏpt0Ž‘0S±:Ïget‘‰ffŽ‘®zŽ‘«(‘ª¨);Ž¡‘Ïpt0‘‰ffŽ‘®vŽ‘80‡«=‘ÇÏpt0Ž‘0S±:Ïget‘‰ffŽ‘®yŽ‘t«(‘ª¨);Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘Ïc‘ÿ}'errŽ‘7|U·‘ƬÝ"ERROR!È ÝInÈ ÝReg_Cl_PlŽ‘oÆpane_Curve::location(Ž’ØÆ4).\n"Ž’úS9·Ž¡‘2Ý"orientationÈ ÝhasÈ ÝinvŽ’šÿÉalidÈ Ývalue:È Ý"Ž’â"·‘ÇÏorientationŽ‘7o·‘ÇÝ"\nReturningÈ Ý-5\n\n"Ž‘o\·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½·Ž‘I­Û«5Ž‘N­Ü;Ž¡‘·gŽ¡‘ÏrrŽ‘ Ìk«=‘ÇÏsolveŽ‘þã«(Ý'v'Ž‘F_±;‘ª¨Ïpt0‘‰ffŽ‘®hŽ‘Gë);‘±=·‘ÿý«[¬LDF‘T2002.11.05.«]Ž‘T7TO–UUDO:“Explain.‘o·±=Ž¡‘ÂifŽ‘´ú«(ÏrrŽ‘ Q±:Ï rstŽ‘|·‘ÇÝINVALID_REALŽ‘D†<·^‘8àÏrrŽ‘ >1±:Ïse–ÿ}'c“ondŽ‘ nß·‘ÇÝINVALID_REALŽ‘BM\«)‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"PointÈ ÝisÈ ÝoutsideÈ ÝreŽ‘kÆÜgularÈ ÝclosedÈ ÝplaneÈ ÝcŽ’ÔÆ urve.È Ý"Ž’üÔ ·‘ÇÝ"ReturningÈ Ý-1.\n"Ž‘\M«;Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"ExitingÈ ÝReg_Cl_PlanŽ‘kÆÜe_Curve::location()\Ž’ÔÆ n"Ž’ßÍ«;Ž¡‘·gŽ¡‘ÂreturnŽ‘Aæ½·Ž‘I­Û«1Ž‘N­Ü;Ž¡‘·gŽ¡‘ÂelseŽ‘)ª¼ifŽ‘4Ü:«((ÏfabsŽ–2Ò«(ÏfabsŽ“«(Ïpt0‘‰ffŽ‘®vŽ›il«)–1î·“ÏfabsŽ‘dÀ«(ÏrrŽ‘ Q±:Ï rstŽ‘µª«))–DZ<“ÂP•®9oin“tŽ‘ad«::Ž‘%ï¢ÏepsilonŽ‘E^¦«(‘ª¨))–1î·_“«(ÏfabsŽ–2Ò«(ÏfabsŽ“«(Ïpt0‘‰ffŽ‘®vŽ˜«)–1î·“ÏfabsŽ‘dÀ«(ÏrrŽ‘ Q±:Ïse–ÿ}'c“ondŽ‘§Ç«))‘DZ<Ž¡‘2ÂP•®9oin“tŽ‘NšQ«::Ž‘U(ÏepsilonŽ‘t—“«(‘ª¨)))‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘(Ïc‘ÿ}'outŽ‘?·‘CÇÝ"PointÈ ÝisÈ ÝonÈ ÝregularŽ‘mC‹È ÝclosedÈ ÝplaneÈ Ýcurve.Ž’ÖCOÈ Ý"Ž’åx·‘CÇÝ"ReturningÈ Ý0.\n"Ž‘] Æ·Ž¡‘<Ý"ExitingÈ ÝReg_Cl_PlanŽ’¤ÿÊe_Curve::location()\Ž’ ÿŽn"Ž’ð«;Ž¡‘(ÏgetcharŽ‘I&«(‘ª®);Ž¡‘·gŽ¡‘ÂreturnŽ‘A潫0Ž‘Fæ¾;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(ÏfabsŽ‘2Ò«(Ïpt0‘‰ffŽ‘®vŽ‘il«)–DZ<“ÏfabsŽ‘ùê«(ÏrrŽ‘ Q±:Ï rstŽ‘µª«))‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"PointÈ ÝisÈ ÝinsideÈ ÝregŽ‘kÆÜularÈ ÝclosedÈ ÝplaneÈ ÝcuŽ’ÔÆ rve.È Ý"Ž’÷”·‘ÇÝ"ReturningÈ Ý1.\n"Ž‘WMP«;Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"ExitingÈ ÝReg_Cl_PlanŽ‘kÆÜe_Curve::location()\Ž’ÔÆ n"Ž’ßÍ«;Ž¡‘(ÏgetcharŽ‘I&«(‘ª®);Ž¡‘·gŽ¡‘ÂreturnŽ‘A潫1Ž‘Fæ¾;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(ÏfabsŽ‘2Ò«(Ïpt0‘‰ffŽ‘®vŽ‘il«)–DZ>“ÏfabsŽ‘ùê«(ÏrrŽ‘ -Q±:Ï rstŽ‘µª«))Ž¡‘±=·‘ÿý«This–UUcase“should“nev¸ãer“ošGccur,“I“b˜eliev•¸ãe.‘qÇ[¬LDF‘T2002.11.05.«]Ž‘SzWh“y‘UUnot??‘o·±=Ž¡‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘(Ïc‘ÿ}'outŽ‘>ØU·‘Ý"PointÈ ÝisÈ ÝoutsideÈ ÝreŽ‘l~ÞgularÈ ÝclosedÈ ÝplaneÈ ÝcŽ’Õ~¢urve.È Ý"Ž’þD·‘Ý"ReturningÈ Ý-1.\n"Ž‘`Äi·Ž¡‘<Ý"ExitingÈ ÝReg_Cl_PlanŽ’¤ÿÊe_Curve::location()\Ž’ ÿŽn"Ž’ð«;Ž¡‘(ÏgetcharŽ‘I&«(‘ª®);Ž¡‘·gŽ¡‘ÂreturnŽ‘Aæ½·Ž‘I­Û«1Ž‘N­Ü;Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘Ïc‘ÿ}'errŽ‘7|U·‘ƬÝ"ERROR!È ÝInÈ ÝReg_Cl_PlŽ‘oÆpane_Curve::location(Ž’ØÆ4).\n"Ž’úS9·Ž¡‘2Ý"ThisÈ Ýcan'tÈ Ýhappen!È Ž’šÿÉÝReturningÈ Ý-3.\n"Ž’òM·‘ÇÏ ushŽ‘€«;ŽŽŽŒ‹ P' Šn ý‘ì·x«946›­3DLDFPRÃŽG’ýãLOCA‘ÿJªTION–ÕXOF“A“POINT˜«265Ž €n ý•@P‘ÏgetcharŽ‘?%ÿ«(‘ª®);ޤ ‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝReg_Cl_PlanŽ‘kÆÜe_Curve::location()\Ž’ÔÆ n"Ž’ßÍ«;Ž¡‘ÂreturnŽ‘Aæ½·Ž‘I­Û«3Ž‘N­Ü;Ž¡‘·gŽ¡‘ -gޤ ­See–ÕXalso“sections“948,“951,“952,“953,“954,“955,“956,“957,“958,“959,“960,“962,“and“965.Ž¡This–ÕXcoØU·‘Ý"PointÈ ÝisÈ ÝoutsideÈ ÝreŽ‘l~ÞgularÈ ÝclosedÈ ÝplaneÈ ÝcŽ’Õ~¢urve.È Ý"Ž’þD·‘Ý"ReturningÈ Ý-1.\n"Ž‘`Äi·Ž¡‘<Ý"ExitingÈ ÝReg_Cl_PlanŽ’¤ÿÊe_Curve::location()\Ž’ ÿŽn"Ž’ð«;Ž¡‘(ÏgetcharŽ‘I&«(‘ª®);Ž¡‘·gŽ¡‘ÂreturnŽ‘Aæ½·Ž‘I­Û«1Ž‘N­Ü;Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘Ïc‘ÿ}'errŽ‘7|U·‘ƬÝ"ERROR!È ÝInÈ ÝReg_Cl_PlŽ‘oÆpane_Curve::location(Ž’ØÆ4).\n"Ž’úS9·Ž¡‘2Ý"ThisÈ Ýcan'tÈ Ýhappen!È Ž’šÿÉÝReturningÈ Ý-3.\n"Ž’òM·‘ÇÏ ushŽ‘€«;ŽŽŽŒ‹ L] Šn ý‘ì«268›­LOCA‘ÿJªTION–ÕXOF“A“POINT’ýã3DLDFPRÃŽG˜·x«949Ž €n ý•@P‘ÏgetcharŽ‘?%ÿ«(‘ª®);ޤ ‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝReg_Cl_PlanŽ‘kÆÜe_Curve::location()\Ž’ÔÆ n"Ž’ßÍ«;Ž¡‘ÂreturnŽ‘Aæ½·Ž‘I­Û«3Ž‘N­Ü;Ž¡‘·gŽ¡‘ +gޤ ­See–ÕXalso“sections“951,“954,“955,“956,“957,“958,“959,“960,“961,“962,“963,“965,“and“968.Ž¡This–ÕXco‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +The–Bîvš¸ãersions“of“Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘TÏÍ«(‘ª®)“bGelonging“to“classes“deriv˜ed“from“ÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o}t«will“mostŽ¡likš¸ãely–P&call“on“the“functions“describGed“in“this“section,‘„cpassing“Ïc‘ÿ}'enterŽ‘ ©×«as“the“Ïr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘’?«argumen˜t.‘¸Ho˜w˜ev˜er,‘„cthis“needŽ¡not–[ÌbGe“the“case,‘]iand“ÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9esŽ‘t8l«need“not“ha•¸ãv“e–[Ìa“meaningful“Ïc‘ÿ}'enterŽ‘eW«.‘…+Ïr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘ Òê«in“these“functionsŽ¡merely–UUrefers“to“the“ÂP•®9oin“tŽ‘"Dò«whicš¸ãh“should“bGe“placed“at“the“origin“b˜y“the“transformation.‘qÇ[¬LDF‘T2003.07.16.«]ŽŽ¦Â953.‘ üP•®9oin“t‘ÕTargumen“ts.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.06.20.«]Ž‘Z’dRewrote–ß~this“function.‘ AThe“p•Gerp“endicular–ß~and“non-parallel,‘Bnon-coplanar“cases“areŽ¡handled–UUin“exactly“the“same“w•¸ãa“y‘ÿ*ª.‘qÇIn–UUthese“cases,“there“can“only“bšGe“one“in¸ãtersection“p˜oin¸ãt.Ž¡ÂPlaneŽ‘ág«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ‘N–Ú«(›ª®)–UUand“ÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘mLñ«::‘Ïlo–ÿ}'c“ationŽ‘#Á«(˜)“are“no¸ãw“used“to“ nd“it,“if“it“exists.Ž¡‘ [¬LDF‘T2003.06.20.«]Ž‘YÔThe–!!coplanar“case“wš¸ãas“the“one“that“w˜as“causing“dicult˜y‘ÿ*ª.‘Õ*The“cop˜y“of“·Ž‘ !"ÏthisŽ‘-ù«is“no˜wŽ¡alw•¸ãa“ys–cãput“inš¸ãto“the“x-z“plane,‘g‡ev˜en“if“it“is“in“one“of“the“ma‘Ž8jor“planes,‘g‡or“in“a“plane“parallel“to“one“of“these.Ž¡The–¯¸adv›ÿqÇan¸ãtage“of“this,‘ÆQis“that“it“simpli es“the“coGde.‘€ðThe“disadv˜an¸ãtage“is,‘ÆQthat“additional“rotations“reduceŽ¡the–UUaccuracy“of“the“calculation“of“the“inš¸ãtersection“pGoin˜ts.Ž¡‘ [¬LDF‘T2003.06.20.«]Ž‘Yk…ÂT‘ÿ @@ -3513,16 +3558,16 @@ [¬LDF‘T2003.07.01.«]Ž‘Y9³Added‘†ÍÏtrueŽ‘Ò2«as‘†ÍÏsilentޑĮ«argumenš¸ãt–†Íto“Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘4B«(‘ª®)“when“I‘†Àcall“it“on“Ïcr‘ÿ}'ossŽ‘së«.‘/This“prev˜en˜tsŽ¡Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘0•u«(‘ª®)–O]from“issuing“a“w¸ãarning“message,›ƒÂwhen“Ïcr‘ÿ}'ossŽ‘‹Ø«has“magnitude“0,˜whic¸ãh“oGccurs“when“Ïsurfac–ÿ}'e‘‰ffŽ‘®ve“ctorŽŽ¡«and‘¨@Ïpt‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘.ô1«are–¨@colinear.‘j‡Since“this“case“is“handled“correctly‘ÿ*ª,‘¼úthe“w¸ãarning“messages“are“unnecessary“andŽ¡distracting.Ž¡‘ [¬LDF‘T2003.07.01.«]Ž‘XìéBUG‘9üFIX:–:Made“cš¸ãhanges“to“the“w˜a˜y“Ïon‘‰ffŽ‘®se‘ÿ}'gmentŽ‘8Ór«is“used“in“the“coplanar“case.‘h¬The“w˜a˜yŽ¡it–UUw¸ãas“bGefore“handled“certain“cases“wrong.Ž¡‘ [¬LDF‘T2003.07.04.«]Ž‘Xv½Remo•¸ãv“ed›Ã×unreac“hable˜statemen“t˜at˜end˜of˜function:‘)ÂreturnŽ‘'~DÏbppŽ‘7u-«.‘AHGCC‘òdidn't˜complain,Ž¡but–UUthe“DEC“compiler“issued“a“w¸ãarning.Ž¡‘ -[¬LDF‘T2003.07.16.«]Ž‘YÖChanged–kðname“of“Ïc‘ÿ}'enterŽ‘"ák«argumenš¸ãt“to“Ïr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘]ã«,‘q–bGecause“I'v˜e“made“Ïc‘ÿ}'enterŽ‘"ák«a“data“mem˜bGerŽ¡of‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘lLí«.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o¢B«functions‘@­940“·i‘Ç«+·ŽŽŽŒ‹ aN Šn ý‘ì·x«950›­3DLDFPR•ÃŽG’ÛÎÂPOINT‘ÕX­AR“GUMENTS˜«267Ž €n ý•@P‘ -ÂvirtualŽ‘/Ôb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ’€òÂÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ’Ò¡«(ÂP•®9oin“tŽ‘ïÏr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘7á±;‘ª¨ÂP•®9oin“tŽ‘ šEÏp0Ž–,±±;‘ª¨ÂP•®9oin“tŽ‘ šEÏp1Ž“«)‘UUÂconstŽ‘*¢«;ŽŸÂ951.Ž©·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o¢B«functions‘@­946“·i‘Ç«+·ޤ ‘ -Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘[±Regu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eޒōº«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘RŒã«(ÂP•®9oin“tŽ‘;ÌÏr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘8-¿±;‘ª¨ÂP•®9oin“tŽ‘ ætÏpt0Ž–0O¯±;‘ª¨ÂP•®9oin“tŽ‘ ætÏpt1Ž“«)Ž¡‘2ÂconstŽ‘LÕR·f‘UUÂb•QÇo“olŽ‘ö»ÝDEBUGŽ‘:„,«=‘ÇÏfalseŽ‘v\«;‘±=·–ÿý«true“·±=ަ‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"È Ý***È ÝEnteringÈ ÝReg_CŽ‘kÆÜl_Plane_Curve::"Ž’Ã,·‘ÇÝ"intersection_pointsŽ‘kÆÜ()\n"Ž’‰TM·‘ÇÏ ushŽ‘€«;ަ‘Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘odñÏbppŽ’‚"ò«=‘ÇÝINVALID_BOOL_POINT_PAIRŽ‘| ;«;Ž¡‘ÂPlaneŽ‘>6»ÏplŽ‘J3Þ«=‘ÇÏget‘‰ffŽ‘®planeŽ‘+>«(‘ª¨);ަ‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘ÏplŽ‘6 ±:ÏnormalŽ‘ V¸±:ÏshowŽ‘Šÿ«(Ý"pl.normal"Ž‘:FG«);ަ‘ÂP•®9oin“tŽ‘<ï Ïsurfac–ÿ}'e‘‰ffŽ‘®ve“ctorŽ‘}ud«=‘Ç(Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(0Ž‘)–8à·“Ïr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘*Ó«);ަ‘Ïsurfac–ÿ}'e‘‰ffŽ‘®ve“ctorŽ‘[¾¯±:Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘0•u«(Ïtrueޑƫ);ަ‘ÂP•®9oin“tŽ‘<ï Ïpt‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘d“Q«(Ïpt1Ž–¢·‘8àÏpt0Ž“«);ަ‘Ïpt‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘E£´±:Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘0•u«(Ïtrueޑƫ);ަ‘ÂP•®9oin“tŽ‘<ï Ïcr‘ÿ}'ossŽ‘V£Ö«=‘ÇÏsurfac–ÿ}'e‘‰ffŽ‘®ve“ctorŽ‘@…ı:Ïcr–ÿ}'oss‘‰ffŽ‘®pr“o“ductŽ‘:Œé«(Ïpt‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘'£±«);ަ‘Ïcr‘ÿ}'ossŽ‘4í!±:Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘0•u«(ÏtrueŽ‘ʱ;‘ª¨ÏtrueŽ‘o@«);Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘(Ïsurfac–ÿ}'e‘‰ffŽ‘®ve“ctorŽ‘e¾°±:ÏshowŽ‘Šÿ«(Ý"surface_vector"Ž‘T†8«);Ž¡‘(Ïpt‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘O£µ±:ÏshowŽ‘Šÿ«(Ý"pt_vector"Ž‘:FG«);Ž¡‘(Ïcr‘ÿ}'ossŽ‘>í"±:ÏshowŽ‘Šÿ«(Ý"cross"Ž‘%FS«);Ž¡‘(ÏplŽ‘16±:ÏnormalŽ‘ V¸±:ÏshowŽ‘Šÿ«(Ý"pl.normal"Ž‘:FG«);Ž¡‘·gަ‘ÂshortŽ‘;ʦÏdistanc‘ÿ}'eŽ‘b×»«=‘ÇÏplŽ‘ ý#±:Ïget‘‰ffŽ‘®distanc‘ÿ}'eŽ‘4y¹«(Ïpt0Ž‘i;«)±:Ïse–ÿ}'c“ondŽ‘§Ç«;ŽŸÂ952.‘ üDegenerate–ÕTcases,“error“handling.ަ·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o¢B«functions‘@­946“·i‘Ç«+·Ž¡‘ +[¬LDF‘T2003.07.16.«]Ž‘YÖChanged–kðname“of“Ïc‘ÿ}'enterŽ‘"ák«argumenš¸ãt“to“Ïr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘]ã«,‘q–bGecause“I'v˜e“made“Ïc‘ÿ}'enterŽ‘"ák«a“data“mem˜bGerŽ¡of‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘lLí«.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o¢B«functions‘@­943“·i‘Ç«+·ŽŽŽŒ‹ ]„ Šn ý‘ì«270›ÂPOINT‘ÕX­AR•ÃŽGUMENTS’ÛÎ3DLDFPR“G˜·x«953Ž €n ý•@P‘ +ÂvirtualŽ‘/Ôb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ’€òÂÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ’Ò¡«(ÂP•®9oin“tŽ‘ïÏr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘7á±;‘ª¨ÂP•®9oin“tŽ‘ šEÏp0Ž–,±±;‘ª¨ÂP•®9oin“tŽ‘ šEÏp1Ž“«)‘UUÂconstŽ‘*¢«;ŽŸÂ954.Ž©·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o¢B«functions‘@­949“·i‘Ç«+·ޤ ‘ +Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘[±Regu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eޒōº«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘RŒã«(ÂP•®9oin“tŽ‘;ÌÏr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘8-¿±;‘ª¨ÂP•®9oin“tŽ‘ ætÏpt0Ž–0O¯±;‘ª¨ÂP•®9oin“tŽ‘ ætÏpt1Ž“«)Ž¡‘2ÂconstŽ‘LÕR·f‘UUÂb•QÇo“olŽ‘ö»ÝDEBUGŽ‘:„,«=‘ÇÏfalseŽ‘v\«;‘±=·–ÿý«true“·±=ަ‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"È Ý***È ÝEnteringÈ ÝReg_CŽ‘kÆÜl_Plane_Curve::"Ž’Ã,·‘ÇÝ"intersection_pointsŽ‘kÆÜ()\n"Ž’‰TM·‘ÇÏ ushŽ‘€«;ަ‘Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘odñÏbppŽ’‚"ò«=‘ÇÝINVALID_BOOL_POINT_PAIRŽ‘| ;«;Ž¡‘ÂPlaneŽ‘>6»ÏplŽ‘J3Þ«=‘ÇÏget‘‰ffŽ‘®planeŽ‘+>«(‘ª¨);ަ‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘ÏplŽ‘6 ±:ÏnormalŽ‘ 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ne‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o¢B«functions‘@­949“·i‘Ç«+·Ž¡‘ ÂifŽ‘qv«(Ïpt‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘*jÉ·‘ÇÝINVALID_POINTŽ–I?5·_‘±ÜÏplŽ› çç±:ÏnormalŽ‘#з‘ÇÝINVALID_POINTŽ“·_‘±ÜÏpt‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘,¥·‘ÇÏoriginŽ‘o·_‘±ÜÏplŽ˜±:ÏnormalŽ‘#з‘ÇÏoriginŽ‘½9«)Ž¡‘·fŽ¡‘Ïc‘ÿ}'errŽ‘,e]·‘¯µÝ"ERROR!È ÝInÈ ÝReg_Cl_PlŽ‘n¯yane_Curve:intersectiޒם=on_points():\n"Ž’,¥-·Ž¡‘(Ý"SomethingÈ ÝisÈ ÝwrongÈ Ž’ÿÈÝwithÈ ÝtheÈ Ýnormals:\n"Ž’ú…ô«;Ž¡‘Ïpt‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘;£³±:ÏshowŽ‘Šÿ«(Ý"pt_vector:"Ž‘?†D«);Ž¡‘ÏplŽ‘6 ±:ÏnormalŽ‘ V¸±:ÏshowŽ‘Šÿ«(Ý"pl.normal"Ž‘:FG«);Ž¡‘Ïc‘ÿ}'errŽ‘)|À·‘ÇÝ"ReturningÈ ÝINVALID_BŽ‘kÆÜOOL_POINT_PAIR.\n\n"Ž’Ø ·‘ÇÏ ushŽ‘€«;Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝPolygon::inŽ‘kÆÜtersection_points().Ž’ÔÆ \n\n"Ž’òT·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘7æ¼ÝINVALID_BOOL_POINT_PAIRŽ’±,ß«;Ž¡‘ -·gŽŸÂ953.‘ üP®9arallel–ÕTand“coplanar“cases.ަ·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o¢B«functions‘@­946“·i‘Ç«+·Ž¡‘ +·gŽŸÂ956.‘ üP®9arallel–ÕTand“coplanar“cases.ަ·h–ª¨«De 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ne‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o¢B«functions‘@­946“·i‘Ç«+·ޤ ‘ +Q±:Ïse–ÿ}'c“ondŽ‘ nß·6«=‘ÇÝINVALID_REALŽ‘BM\«)‘·fŽ¡‘(ÏbppŽ‘7öí±:Ïse–ÿ}'c“ondŽ–§Ç±:ÏptŽ‘ ä±:ÏsetŽ‘ x„«(Ïpt0‘‰ffŽ‘®hŽ‘±;‘ª¨«0Ž‘ª©±;‘ª¨ÏrrŽ‘ ¯ù±:Ïse–ÿ}'c“ondŽ“«);Ž¡‘·gŽ¡‘ÂelseŽ‘5ØâÏbppŽ‘EÏ˱:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ «µ«=‘ÇÝINVALID_POINTŽ‘GY«;Ž¡‘·g‘±=·‘ÿý«End‘UUÏSlop‘ÿ}'eŽ‘ÜÀ·‘ÇÝINVALID_REALŽ‘BM\«.‘o·±=ŽŽŽŒ‹ ¤y Šn ý‘ì«274–­COPLANAR‘ÕXCASE’º 3DLDFPRÃŽG“·x«960Ž €n ý•@PÂ960.‘ ü«SlopGe–UU·2“ÂrealŽ‘ƒ«is“de ned“and“·6«=‘Ç0.Ž©·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o¢B«functions‘@­949“·i‘Ç«+·ޤ ‘ ÂelseŽ‘!Øà·fŽ¡‘ÂrealŽ‘*³0Ïv‘‰ffŽ‘®inter–ÿ}'c“eptŽ‘YàÒ«;ަ‘Ïv‘‰ffŽ‘®inter–ÿ}'c“eptŽ‘Eô¼«=‘ÇÏpt0‘‰ffŽ‘®vŽ‘id·–8à«(ÏSlop‘ÿ}'eŽ‘ù3·“Ïpt0‘‰ffŽ‘®hŽ‘Õû«);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"v_interceptÈ Ý==È Ý"Ž‘_Te·‘ÇÏv‘‰ffŽ‘®inter–ÿ}'c“eptŽ‘4»Ò·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;ަ‘Ârealu½‰™šs4Ž‘ÔwtripleŽ‘JÉfÏc–ÿ}'o“e sŽ‘fhD«=‘ÇÏget‘‰ffŽ‘®c–ÿ}'o“ecientsŽ‘C·Š«(ÏSlop‘ÿ}'eŽ‘ÀS±;‘ª¨Ïv‘‰ffŽ‘®inter–ÿ}'c“eptŽ‘0ØJ«);‘±=·‘ÿý«New‘UUh-v‘ÿqÇalues.‘o·±=ަ‘ÂifŽ‘´ú«(Ïis‘‰ffŽ‘®quadr‘ÿ}'aticŽ‘3çô«(‘ª®))‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"SolvingÈ Ýquadratic.\Ž‘kÆÜn"Ž‘y”V·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ÏrrŽ‘*Ìl«=‘ÇÏsolve‘‰ffŽ‘®quadr‘ÿ}'aticŽ‘D{Ò«(Ïc–ÿ}'o“e sŽ‘ׯ±:Ï rstŽ‘µª±;‘ª¨Ïc–ÿ}'o“e sŽ–‚n±:Ïse–ÿ}'c“ondŽ‘§Ç±;‘ª¨Ïc–ÿ}'o“e sŽ“±:Ïthir‘ÿ}'dŽ‘Üj«);Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"NotÈ ÝaÈ Ýquadratic.È Ý"Ž‘iÔ_·‘ÇÝ"Haven'tÈ ÝprogrammedÈ Ž‘kÆÜÝthisÈ ÝcaseÈ Ýyet.\n"Ž’ÈT)·‘ÇÏ ushŽ‘€«;Ž¡‘·gަ‘ÂrealŽ‘*³0Ïv‘‰ffŽ‘®c–ÿ}'o“or“dŽ‘K$«;ަ‘ÂifŽ‘´ú«(ÏrrŽ‘ Q±:Ï rstŽ‘|·6«=‘ÇÝINVALID_REALŽ‘BM\«)‘·fŽ¡‘Ïv‘‰ffŽ‘®c–ÿ}'o“or“dŽ‘A7ù«=‘Ç(ÏSlop‘ÿ}'eŽ‘ù3·‘8àÏrrŽ‘ >1±:Ï rstŽ‘µª«)–8à+“Ïv‘‰ffŽ‘®inter–ÿ}'c“eptŽ‘1f‚«;Ž¡‘ÏbppŽ‘-öì±:Ï rstŽ–µª±:ÏptŽ‘ ä±:ÏsetŽ‘ x„«(ÏrrŽ‘ Q±:Ï rstŽ“±;‘ª¨«0Ž‘ª©±;‘ª¨Ïv‘‰ffŽ‘®c–ÿ}'o“or“dŽ‘"†«);Ž¡‘·gŽ¡‘ÂelseŽ‘+ØáÏbppŽ‘;Ïʱ:Ï rstŽ‘µª±:ÏptŽ‘ «µ«=‘ÇÝINVALID_POINTŽ‘GY«;Ž¡‘ÂifŽ‘´ú«(ÏrrŽ‘ Q±:Ïse–ÿ}'c“ondŽ‘ nß·6«=‘ÇÝINVALID_REALŽ‘BM\«)‘·fŽ¡‘Ïv‘‰ffŽ‘®c–ÿ}'o“or“dŽ‘A7ù«=‘Ç(ÏSlop‘ÿ}'eŽ‘ù3·‘8àÏrrŽ‘ >1±:Ïse–ÿ}'c“ondŽ‘§Ç«)–8à+“Ïv‘‰ffŽ‘®inter–ÿ}'c“eptŽ‘1f‚«;Ž¡‘ÏbppŽ‘-öì±:Ïse–ÿ}'c“ondŽ–§Ç±:ÏptŽ‘ ä±:ÏsetŽ‘ x„«(ÏrrŽ‘ Q±:Ïse–ÿ}'c“ondŽ“±;‘ª¨«0Ž‘ª©±;‘ª¨Ïv‘‰ffŽ‘®c–ÿ}'o“or“dŽ‘"†«);Ž¡‘·gŽ¡‘ÂelseŽ‘+ØáÏbppŽ‘;Ïʱ:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ «µ«=‘ÇÝINVALID_POINTŽ‘GY«;Ž¡‘ -·gŽŽŽŒ‹ ²æ Šn ý‘ì«272–­COPLANAR‘ÕXCASE’º 3DLDFPRÃŽG“·x«958Ž €n ý•@PÂ958.‘ ü«Common–UUcoGde“for“the“\coplanar"“case.ޤ·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o¢B«functions‘@­946“·i‘Ç«+·Ž© ‘ +·gŽŽŽŒ‹ ®ð Šn ý‘ì·x«961–­3DLDFPRÃŽG’º COPLANAR‘ÕXCASE“«275Ž €n ý•@PÂ961.‘ ü«Common–UUcoGde“for“the“\coplanar"“case.ޤ·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o¢B«functions‘@­949“·i‘Ç«+·Ž© ‘ Âb•QÇo“olu½‰™šs4Ž‘ÔwrealŽ‘;@‚Ïon‘‰ffŽ‘®se‘ÿ}'gmentŽ‘mŸî«;Ž¡‘ ÂifŽ‘´ù«(ÏbppŽ‘öé±:Ï rstŽ‘µª±:ÏptŽ‘ «µ·‘ÇÝINVALID_POINTŽ‘GY«)‘·fަ‘Ïon‘‰ffŽ‘®se‘ÿ}'gmentŽ‘F_n±:Ï rstŽ‘|«=‘ÇÏfalseŽ‘v\«;ަ‘Ïon‘‰ffŽ‘®se‘ÿ}'gmentŽ‘F_n±:Ïse–ÿ}'c“ondŽ‘ nß«=‘ÇÝINVALID_REALŽ‘BM\«;ަ‘ ·gަ‘ @@ -3626,88 +3671,90 @@ ·gަ‘ ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘·fަ‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"rr.firstÈ Ý==È Ý"Ž‘O”n·‘ÇÏrrŽ‘ Ìi±:Ï rstŽ‘|·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;ަ‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"rr.secondÈ Ý==È Ý"Ž‘TÔk·‘ÇÏrrŽ‘ Ìi±:Ïse–ÿ}'c“ondŽ‘ nß·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;ަ‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"bpp.first.bÈ Ý==È Ý"Ž‘_Te·‘ÇÏbppŽ‘¾±:Ï rstŽ‘µª±:bŽ‘·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;ަ‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"bpp.second.bÈ Ý==È Ý"Ž‘d”b·‘ÇÏbppŽ‘¾±:Ïse–ÿ}'c“ondŽ‘§Ç±:bŽ‘·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;ަ‘ÏbppŽ‘#öë±:Ï rstŽ‘µª±:ÏptŽ‘ ä±:ÏshowŽ‘Šÿ«(Ý"bpp.first.pt"Ž‘J>«);ަ‘ÏbppŽ‘#öë±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ ä±:ÏshowŽ‘Šÿ«(Ý"bpp.second.pt"Ž‘OF;«);ަ‘ ·gަ‘ -ÂreturnŽ‘-æ»ÏbppŽ‘=ݤ«;‘qÇ·g‘±=·‘ÿý«End–UUof“coplanar“case.‘o·±=ŽŽŽŒ‹ ¼ Šn ý‘ì·x«959–­3DLDFPRÃŽG’(&P‘ÿJªARALLEL‘ÕXCASE“«273Ž €n ý•@PÂ959.‘ üP®9arallel‘ÕTcase.Ž©·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o¢B«functions‘@­946“·i‘Ç«+·ޤ ‘ +ÂreturnŽ‘-æ»ÏbppŽ‘=ݤ«;‘qÇ·g‘±=·‘ÿý«End–UUof“coplanar“case.‘o·±=ŽŽŽŒ‹ ¸§ Šn ý‘ì«276–­P‘ÿJªARALLEL‘ÕXCASE’(&3DLDFPRÃŽG“·x«962Ž €n ý•@PÂ962.‘ üP®9arallel‘ÕTcase.Ž©·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o¢B«functions‘@­949“·i‘Ç«+·ޤ ‘ ÂelseŽ‘!Øà·fŽ¡‘Ïc‘ÿ}'errŽ‘+ýû·‘HSÝ"WARNING!È ÝInÈ ÝReg_Cl_Ž‘nHPlane_Curve::interseŽ’×GÛction_points():\n"Ž’;–`·Ž¡‘(Ý"LineÈ ÝandÈ ÝReg_Cl_PlaŽ’ÿÈne_CurveÈ ÝareÈ ÝinÈ ÝparaŽ’ùÿŒllelÈ Ýplanes.\n"Ž’O€n·Ž¡‘(Ý"NoÈ Ýintersections.È ÝRŽ’ÿÈeturningÈ ÝINVALID_BOOŽ’ùÿŒL_POINT_PAIR."Ž’FÌâ·‘ÇÏend‘‚ØlŽ–ò·‘ÇÏend‘‚ØlŽ“·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘7æ¼ÝINVALID_BOOL_POINT_PAIRŽ’±,ß«;Ž¡‘ ·gŽ¡‘ -g‘±=·‘ÿý«End–UUof“parallel“and“coplanar“cases.‘o·±=ŽŸÂ960.› üP®9erpQÇendicular–õand“non-coplanar“cases.˜«[¬LDF‘T2003.06.13.«]Ž‘ZÄÂThese–‘ácases“are“handled“in“exactlyŽ¡the–UUsame“w•¸ãa“y‘ÿ*ª.ަ·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o¢B«functions‘@­946“·i‘Ç«+·Ž¡‘ +g‘±=·‘ÿý«End–UUof“parallel“and“coplanar“cases.‘o·±=ŽŸÂ963.› üP®9erpQÇendicular–õand“non-coplanar“cases.˜«[¬LDF‘T2003.06.13.«]Ž‘ZÄÂThese–‘ácases“are“handled“in“exactlyŽ¡the–UUsame“w•¸ãa“y‘ÿ*ª.ަ·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o¢B«functions‘@­949“·i‘Ç«+·Ž¡‘ ÂelseŽ‘!Øà·fŽ¡‘ÂifŽ‘´ú«(ÏplŽ‘ 6 ±:ÏnormalŽ–#з‘ÇÏpt‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘,£©·_‘8àÏplŽ‘ në±:ÏnormalŽ“·‘ÇŽ‘ Ž6Ïpt‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘21ç«)‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"TheÈ ÝlineÈ ÝisÈ ÝperpendŽ‘kÆÜicularÈ ÝtoÈ ÝtheÈ Ý"Ž’½Ô/·‘ÇÝ"Reg_Cl_Plane_Curve.Ž‘kÆÜ\n"Ž‘~ÔS·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"TheÈ ÝlineÈ ÝandÈ ÝtheÈ ÝReŽ‘kÆÜg_Cl_Plane_CurveÈ Ý"Ž’Í”&·‘ÇÝ"areÈ Ýnon-coplanar.\nŽ‘kÆÜ"Ž‘tTY·‘ÇÏ ushŽ‘€«;Ž¡‘·gަ‘Âb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘L§ÏbpŽ‘ZI.«=‘ÇÏplŽ‘ ý#±:Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ‘M–Ö«(Ïpt0Ž‘i;±;‘ª¨Ïpt1Ž‘ã«);ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘ÏbpŽ‘(Ú|±:ÏptŽ‘ ä±:ÏshowŽ‘Šÿ«(Ý"bp.pt"Ž‘%FS«);Ž¡‘·gަ‘ÂshortŽ‘1Ê¥±sŽ‘9A½«=‘ÇÏlo–ÿ}'c“ationŽ‘%ˆ•«(Ïr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘ñó±;‘ª¨ÏbpŽ‘ …!±:ÏptŽ‘ ä«);ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"location:È ÝsÈ Ý==È Ý"Ž‘_Te·‘DZsŽ‘ >0·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ÂifŽ‘´ú«(±sŽ‘w>‘Ç·Ž‘ Ž6«1Ž‘Ž7)‘·fŽ¡‘ÏbppŽ‘-öì±:Ï rstŽ‘µª±:ÏptŽ‘ «µ«=‘ÇÏbpŽ‘ ¡‘±:ÏptŽ‘ ä«;Ž¡‘ÏbppŽ‘-öì±:Ï rstŽ–µª±:bŽ‘«=‘ÇÏbpŽ‘ ¡‘±:ÏptŽ‘ ä±:Ïis‘‰ffŽ–®on‘‰ffŽ“se‘ÿ}'gmentŽ‘=5O«(Ïpt0Ž‘i;±;‘ª¨Ïpt1Ž‘ã«)±:Ï rstŽ“«;Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"OnÈ Ýsegment:È Ý==È Ý"Ž‘_Te·‘ÇÏbppŽ‘¾±:Ï rstŽ‘µª±:bŽ‘·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½ÏbppŽ‘Qݦ«;Ž¡‘·gŽ¡‘ÂelseŽ‘+ØáreturnŽ‘O¿›ÝINVALID_BOOL_POINT_PAIRޒɾ«;Ž¡‘ ·g‘±=·‘ÿý«End–UUof“\P¸ãerpGendicular“and“non-coplanar“cases".‘o·±=Ž¡‘ -·gŽŸÂ961.‘ üP•®9ath‘ÕTargumen“ts.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +·gŽŸÂ964.‘ üP•®9ath‘ÕTargumen“ts.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.06.20.«]Ž‘Y;Added–UUthis“function.Ž¡‘ -[¬LDF‘T2003.07.16.«]Ž‘YÖChanged–kðname“of“Ïc‘ÿ}'enterŽ‘"ák«argumenš¸ãt“to“Ïr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘]ã«,‘q–bGecause“I'v˜e“made“Ïc‘ÿ}'enterŽ‘"ák«a“data“mem˜bGerŽ¡of‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘lLí«.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o¢B«functions‘@­940“·i‘Ç«+·Ž¡‘ -Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘[dïÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ’¬ñΫ(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]Ïr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘]ÓP±;‘ª¨ÂconstŽ‘ÕJP®9athŽ‘;¼«&Ž‘Cƒ!±pŽ‘H‹!«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹ Î$ Šn ý‘ì«274›ÂP–ÿ -«A“TH‘ÕX­AR•ÃŽGUMENTS’¯3DLDFPR“G˜·x«962Ž €n ý•@PÂ962.Ž©·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o¢B«functions‘@­946“·i‘Ç«+·ޤ ‘ +[¬LDF‘T2003.07.16.«]Ž‘YÖChanged–kðname“of“Ïc‘ÿ}'enterŽ‘"ák«argumenš¸ãt“to“Ïr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘]ã«,‘q–bGecause“I'v˜e“made“Ïc‘ÿ}'enterŽ‘"ák«a“data“mem˜bGerŽ¡of‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘lLí«.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o¢B«functions‘@­943“·i‘Ç«+·Ž¡‘ +Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘[dïÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ’¬ñΫ(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]Ïr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘]ÓP±;‘ª¨ÂconstŽ‘ÕJP®9athŽ‘;¼«&Ž‘Cƒ!±pŽ‘H‹!«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹ Ê. Šn ý‘ì·x«965‘­3DLDFPRšÃŽG’¯ÂP–ÿ +«A“TH‘ÕX­AR˜GUMENTS‘«277Ž €n ý•@PÂ965.Ž©·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o¢B«functions‘@­949“·i‘Ç«+·ޤ ‘ Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘[ïRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ’Åy‹«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘RŒã«(ÂconstŽ‘G¢P•®9oin“tŽ‘=T?«&Ž‘E]Ïr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘^ P±;‘ª¨ÂconstŽ‘òJP®9athŽ‘;ö«&Ž‘C½!±pŽ‘HÅ!«)Ž¡‘2ÂconstŽŽ¡‘ ·fŽ¡‘ÂifŽ‘´ú«(·:±pŽ‘:Ïis‘‰ffŽ‘®line‘ÿ}'arŽ‘%}«(‘ª¨))‘·fŽ¡‘Ïc‘ÿ}'errŽ‘6D·‘K›Ý"ERROR!È ÝInÈ ÝReg_Cl_PlŽ‘nK_ane_Curve::intersectŽ’×K#ion_points():\n"Ž’1ö·Ž¡‘2Ý"PathÈ ÝargumentÈ ÝpÈ ÝisÈ Ž’šÿÉÝnon-linear.È Ý"Ž’â»ç·‘õÝÝ"ReturningÈ ÝINVALID_BŽ‘kõ¡OOL_POINT_PAIR.\n\n"Ž’Øqª·Ž¡‘2Ï ushŽ‘G¹«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_BOOL_POINT_PAIRŽ’»,à«;Ž¡‘·gŽ¡‘ÂreturnŽ‘7æ¼Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ’‰s›«(Ïr‘ÿ}'ef‘‰ffŽ‘®ptŽ‘ñó±;‘ª¨pŽ–²¨:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(0Ž‘)±;‘ª¨pŽ“:Ïget‘‰ffŽ–®last‘‰ffŽ“p‘ÿ}'ointŽ‘:$>«(‘ª¨));Ž¡‘ -·gŽŸÂ963.› üReg‘°¡‰ffs4Ž–#ÕCl‘°¡‰ffs4Ž“Plane‘°¡‰ffs4Ž“Curv•®9e‘ÕTsegmen“ts.˜«The–UUfunctions“in“this“section“require“that“theŽ¡ÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘m°;«ha•¸ãv“e–¸£a“meaningful“Ïc‘ÿ}'enterŽ‘ Â.«,‘win“order“to“makš¸ãe“it“pGossible“to“rotate“the“segmen˜ts.Ž¡[¬LDF‘T2003.07.16.«]ŽŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.07.16.«]Ž‘ZFìAdded–”this“section“and“its“subsections,‘ã²including“the“declarations“and“de nitions“ofŽ¡Ïse‘ÿ}'gmentŽ‘#õ¡«(–ª®),‘UUÏhalfŽ‘Îë«(“),–UUand“ÏquarterŽ‘$Z›«(‘ª®).‘qÇThey“wš¸ãere“formerly“mem˜bGers“of“ÂCircleŽ‘!¸«.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽŸ964.– üSegmenš®9t.“«[¬LDF‘T2002.11.10.«]Ž‘[ŸëÏse‘ÿ}'gmentŽ‘•Œ«(‘ª®)–m +·gŽŸÂ966.› üReg‘°¡‰ffs4Ž–#ÕCl‘°¡‰ffs4Ž“Plane‘°¡‰ffs4Ž“Curv•®9e‘ÕTsegmen“ts.˜«The–UUfunctions“in“this“section“require“that“theŽ¡ÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘m°;«ha•¸ãv“e–¸£a“meaningful“Ïc‘ÿ}'enterŽ‘ Â.«,‘win“order“to“makš¸ãe“it“pGossible“to“rotate“the“segmen˜ts.Ž¡[¬LDF‘T2003.07.16.«]ŽŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.07.16.«]Ž‘ZFìAdded–”this“section“and“its“subsections,‘ã²including“the“declarations“and“de nitions“ofŽ¡Ïse‘ÿ}'gmentŽ‘#õ¡«(–ª®),‘UUÏhalfŽ‘Îë«(“),–UUand“ÏquarterŽ‘$Z›«(‘ª®).‘qÇThey“wš¸ãere“formerly“mem˜bGers“of“ÂCircleŽ‘!¸«.ަŸüÈ„`ÕÁGŽŽŸÂ967.– üSegmenš®9t.“«[¬LDF‘T2002.11.10.«]Ž‘[ŸëÏse‘ÿ}'gmentŽ‘•Œ«(‘ª®)–m 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Ыwith“the“straigh˜t“line“segmen˜t“from“its“last“to“its“ rst“ÂP•®9oin“tŽ‘#´«using“theŽ¡‘Lºöconnector‘UUÝ"&"Ž‘›´«.ަ‘ -[¬LDF‘T2003.07.27.«]Ž‘Z{lTO‘È&DO:–ȆMakš¸ãe“argumen˜ts“Âconstޑӫ,‘%Rif“pšGossible.‘ËZÏangleŽ‘%T3«can't“b˜e,‘%Rthough.‘ËZIf“ÏfactorŽ‘$þ ·Ž¡Ïnumb›ÿ}'er‘‰ffŽ–®of‘‰ffŽ“p˜ointsŽ‘JÀ©«,–UUreturn“·Ž‘UVÏthisŽ‘A «,“cast“to“a“ÂP®9athŽ‘湫,“with“w¸ãarning.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +[¬LDF‘T2003.07.27.«]Ž‘Z{lTO‘È&DO:–ȆMakš¸ãe“argumen˜ts“Âconstޑӫ,‘%Rif“pšGossible.‘ËZÏangleŽ‘%T3«can't“b˜e,‘%Rthough.‘ËZIf“ÏfactorŽ‘$þ ·Ž¡Ïnumb›ÿ}'er‘‰ffŽ–®of‘‰ffŽ“p˜ointsŽ‘JÀ©«,–UUreturn“·Ž‘UVÏthisŽ‘A «,“cast“to“a“ÂP®9athŽ‘湫,“with“w¸ãarning.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.11.12.«]Ž‘Z8²Added–…Ì\Ý\relaxŽ‘ V«"“after“the“argumen¸ãts“to“\Ý\ARGŽ‘†\«"“in“the“T‘þU>ŸÓVEŽ‘ãxXŽ‘§õcošGde“ab˜o•¸ãv“e–…Ìin“order“toŽ¡suppress–O¦a“space“at“the“bGeginning“of“the“ rst“line“of“the“folloš¸ãwing“inden˜ted“paragraph.‘oâI‘O¥couldn't“ gure“outŽ¡a›UUw•¸ãa“y˜of˜suppressing˜the˜space˜within˜the˜de nition˜of˜Ý\ARGŽ‘Û±«.Ž¡‘ [¬LDF‘T2003.05.20.«]Ž‘Y;Changed–UUthe“w•¸ãa“y–UUthe“last“connector“is“set“when“Ïclose‘ÿ}'dŽ‘!5ý·‘ÇÏtrueŽ‘‹°«.Ž¡‘ [¬LDF‘T2003.07.27.«]Ž‘Y;Made‘UUÂconstŽ‘*¢«.Ž¡‘ -[¬LDF‘T2003.08.20.«]Ž‘Zm¸BUG‘ºuFIX:–ºÒAdded“ÂunsignedŽ‘6W]shortŽ‘U‡}Ïsubp‘ÿ}'ath‘‰ffŽ‘®sizeŽ’Š„«.‘¢=Changed“the“w•¸ãa“y–ºÒthe“subpath“isŽ¡created,‘ Äwhen‘èáÏclose‘ÿ}'dŽ‘"ëR«is‘èáÏtrueŽ‘­y«.‘,kNoš¸ãw–èáconcatenating“the“curv˜ed“subpath“with“the“straigh˜t“line“segmen˜t“fromŽ¡the–UUlast“to“the“ rst“ÂP•®9oin“tsŽ‘&Î.«of“the“subpath“using“Ý"&"Ž‘›´«.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o¢B«functions‘@­940“·i‘Ç«+·ŽŸ ‘ -ÂP®9athŽ‘%æºÏse‘ÿ}'gmentŽ‘IÜ[«(ÂunsignedŽ‘07in®9tŽ‘AÜÏfactorŽ‘\ßã±;‘ª¨ÂrealŽ‘]ÖÏangleŽ‘2åA«=‘Ç0Ž‘Ç±;‘ª¨Âb•QÇo“olŽ‘LÏclose‘ÿ}'dŽ‘9,¶«=‘ÇÏtrueŽ‘‹°«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹ Ü Šn ý‘ì·x«965–­3DLDFPRÃŽG’7…ÄSEGMENT“«275Ž €n ý•@PÂ965.Ž©·h–ª¨«De 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ÂP®9athŽ‘%æºRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ’ÞV«::‘Ïse‘ÿ}'gmentŽ‘$õ¥«(ÂunsignedŽ‘07in®9tŽ‘AÜÏfactorŽ‘\ßã±;‘ª¨ÂrealŽ‘]ÖÏangleŽ‘0)±;‘ª¨Âb•QÇo“olŽ‘LÏclose‘ÿ}'dŽ‘6ež«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂP®9athŽ‘/æ»±pŽ‘4;ަ‘ÂifŽ‘´ú«(ÏfactorŽ‘Êö·‘Ç«1Ž‘ ÿù·_‘8àÏfactorŽ‘ Ö±>‘ÇÏnumb›ÿ}'er‘‰ffŽ–®of‘‰ffŽ“p˜ointsŽ‘M‡Á«)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘7žË·‘é"Ý"ERROR!È ÝInÈ ÝReg_Cl_PlŽ‘oèæane_Curve::segment()Ž’Øèª:\n"Ž’õX(·Ž¡‘2Ý"TheÈ ÝargumentÈ ÝfactorŽ’šÿÉÈ ÝhasÈ ÝanÈ ÝinvalidÈ ÝvaluŽ’ÿe:\n"Ž’$ÒÆ·‘ àÏfactorŽ‘'ž·Ž¡‘2Ý"\nReturningÈ ÝemptyÈ ÝPŽ’šÿÉath.\n\n"Ž’ÊÆ«;Ž¡‘ÂreturnŽ‘Aæ½±pŽ‘F;Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(ÏfabsŽ‘2Ò«(ÏangleŽ‘ÀS«)–DZ>“«360ŽŽ‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘7Yß·‘¤6Ý"WARNING!È ÝInÈ ÝReg_Cl_Ž‘o£úPlane_Curve::segmentŽ’Ø£¾():\n"Ž’ÿNJ·Ž¡‘2Ý"TheÈ ÝargumentÈ ÝangleÈ Ž’šÿÉÝisÈ ÝgreaterÈ ÝthanÈ Ý360:Ž’ÿÈ Ý"Ž’ƒ·‘}ÏangleŽ‘"ºy·‘}Ïend‘‚ØlŽ‘ëè·Ž¡‘2Ý"ItÈ ÝwillÈ ÝbeÈ Ýreduced.Ž’šÿÉ\n\n"Ž’¸:·‘ÇÏ 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üHalf.“ÏhalfŽ‘ù’«(‘ª®)–‘}creates“a“curvš¸ãe“using“half“of“the“pGoin˜ts“in“Ïp‘ÿ}'ointsŽ‘ G«starting“from“pGoin˜t“0.‘0€If“the“argumen˜tŽ¡ÏangleŽ‘üþ«is–<«not“zero,‘A™the“resulting“ÂP®9athŽ‘ -º«is“rotated“bš¸ãy“that“amoun˜t“abGout“a“line“from“Ïc‘ÿ}'enterŽ‘"‚á«in“the“direction“ofŽ¡the–ŸÌnormal“to“the“ÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘l—d«.‘Q+If“the“argumenš¸ãt“Ïclose‘ÿ}'dŽ‘"Y(«is“ÏtrueŽ‘dd«,‘²ithen“the“segmen˜t“is“closed“andŽ¡can–UUbGe“ lled“using“Ï l‘‚ØlŽ‘H«(›ª®)“or“Ï l‘‚Øldr‘ÿ}'awŽ‘$¼À«(˜).ަ·h–ª¨«Declare‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o¢B«functions‘@­940“·i‘Ç«+·Ž¡‘ +·gŽŸÂ969.– üHalf.“ÏhalfŽ‘ù’«(‘ª®)–‘}creates“a“curvš¸ãe“using“half“of“the“pGoin˜ts“in“Ïp‘ÿ}'ointsŽ‘ G«starting“from“pGoin˜t“0.‘0€If“the“argumen˜tŽ¡ÏangleŽ‘üþ«is–<«not“zero,‘A™the“resulting“ÂP®9athŽ‘ +º«is“rotated“bš¸ãy“that“amoun˜t“abGout“a“line“from“Ïc‘ÿ}'enterŽ‘"‚á«in“the“direction“ofŽ¡the–ŸÌnormal“to“the“ÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘l—d«.‘Q+If“the“argumenš¸ãt“Ïclose‘ÿ}'dŽ‘"Y(«is“ÏtrueŽ‘dd«,‘²ithen“the“segmen˜t“is“closed“andŽ¡can–UUbGe“ lled“using“Ï l‘‚ØlŽ‘H«(›ª®)“or“Ï l‘‚Øldr‘ÿ}'awŽ‘$¼À«(˜).ަ·h–ª¨«Declare‘UUÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o¢B«functions‘@­943“·i‘Ç«+·Ž¡‘ ÂinlineŽ‘)ŠIP®9athŽ‘EqÏhalfŽ‘Wꘫ(ÂrealŽ‘³.ÏangleŽ‘1:™«=‘Ç0Ž‘Ç±;‘ª¨Âb•QÇo“olŽ‘LÏclose‘ÿ}'dŽ‘9,¶«=‘ÇÏtrueŽ‘‹°«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïse‘ÿ}'gmentŽ‘[Ü]«(2Ž‘±;‘ª¨ÏangleŽ‘jû±;‘ª¨Ïclose‘ÿ}'dŽ‘Ä8«);Ž¡‘ -·gŽŸÂ967.– 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neŽ¡inš¸ãtersection–UUfunctions“that“will“w˜ork“for“bGoth“ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘H)^«and“ÂRectangleŽ‘5”ê«.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.06.06.«]Ž‘Y;Added‘UUÂclassŽ‘5¦P®9olygonŽ‘G:”«.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«De ne‘UUÂclassŽ‘5¦P®9olygonŽ‘Kz˜­972“·i‘ÇŽ¡‘ +[¬LDF‘T2003.11.12.«]Ž‘ZCáRemo•¸ãv“ed–ûthe“vš¸ãersion“con˜trol“iden˜ti ers“from“the“CWEB‘© les“for“the“distribution“ofŽ¡3DLDF–UU1.1.‘qÇThey're“still“used“in“mš¸ãy“dev˜elopmen˜t“v˜ersions.Ž¡‘ +[¬LDF‘T2003.12.10.«]Ž‘YQ‘Put–ž«the“vš¸ãersion“con˜trol“iden˜ti ers“bac˜k“in˜to“m˜y“release“v˜ersions“for“3DLDF‘ž™1.1.4.‘MÊI'v˜eŽ¡already–"¯put“some“of“them“bacš¸ãk“in,‘,Ñno˜w“I'm“doing“the“rest“of“them.‘`åHo˜w˜ev˜er,‘,Ñthe“release“v˜ersions“are“no˜w“inŽ¡their–UUoš¸ãwn“R˜CS“repGository‘ÿ*ª.ŽŸŸüÈ„`ÕÁGŽŽ¦‘ +ÂformatŽ‘3c(ÏPolygonŽ‘_£:PathŽŽ¦·h‘ª¨«V‘ÿ*ªersion–UUconš¸ãtrol“iden˜ti er‘@­10‘ª¨·i‘Ç«+·Ž¡‘ +ÂstaticŽ‘)HÚstringŽ‘Jn'Ïr‘ÿ}'cs‘‰ffŽ‘®idŽ‘g(«=‘ÇÝ"$Id:È Ýpolygons.web,vŽ‘kÆÜÈ Ý1.2È Ý2003/12/10È Ý16:2Ž’ÔÆ 4:07È Ýlfinsto1È ÝExpÈ Ý$"Ž’>LÌ«;ŽŸÂ974.‘ üInclude‘ÕT les.ަ·h–ª¨«Include‘UU les‘@­11“·i‘Ç«+·Ž¡«#ÂincludeŽ‘'Ø~Ý"loader.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"pspglb.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"io.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"colors.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"transfor.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"shapes.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"pictures.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"points.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"lines.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"planes.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"paths.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"curves.h"ŽŽŸÂ975.› üP®9olygon–ÔŒclass“de nition.˜«LDF‘3 Undated.‘ ÂP®9olygonŽ‘4CÁ«is–3Cderivš¸ãed“from“ÂP®9athŽ‘ħ«.‘ This“mak˜es“sense,Ž¡bGecause–Mèa“ÂP®9olygonŽ‘/ ¾«is“really“just“a“kind“of“ÂP®9athŽ‘ßL«.‘oMThis“w•¸ãa“y‘ÿ*ª,‘Odw“e–Mèdon't“ha•¸ãv“e–Mèto“de ne“the“dra¸ãwing“and“ llingŽ¡functions,–UUor“the“transformations.Ž¡‘ +[¬LDF‘T2003.06.06.«]Ž‘YÔ^ÂP®9olygonŽ’†úÄ«is–!xmean¸ãt“to“bšGe“used“primarily“as“a“base“class“for“more“sp˜ecialized“t¸ãyp˜es“ofŽ¡pGolygons.–ÄpCurrenš¸ãtly‘ÿ*ª,‘wÆÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘Hg]«and‘pãÂRectangleŽ‘9![«are‘pãde ned.“I'v˜e–pãadded“ÂP®9olygonŽ‘/æ´«so“that“I‘pÛcan“de neŽ¡inš¸ãtersection–UUfunctions“that“will“w˜ork“for“bGoth“ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘H)^«and“ÂRectangleŽ‘5”ê«.ŽŸ±¹Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.06.06.«]Ž‘Y;Added‘UUÂclassŽ‘5¦P®9olygonŽ‘G:”«.ŽŸŸüÈ„`ÕÁGŽŽ¦·h–ª¨«De ne‘UUÂclassŽ‘5¦P®9olygonŽ‘Kz˜­975“·i‘ÇŽ¡‘ ÂclassŽ‘$àRP®9olygonŽ‘Q:•«:‘qÇÂpublicŽ‘'ñP®9athŽ‘B몷fŽ¡‘ ÂprotectedŽ‘:o™«:‘ÂP•®9oin“tŽ‘#ïÏc‘ÿ}'enterŽ‘?ù(«;ަ‘ -ÂpublicŽ‘)=Ö«:‘·h–ª¨«Declare‘UUÂP®9olygonŽ‘/¯˜«functions‘@­975“·iŽ¡‘ -g«;ŽŸ ­This–ÕXco‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ -«[¬LDF‘T2003.07.18.«]Ž‘X¿«Mo•¸ãv“ed– Åthese“functions“from“ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘G˜>«to“ÂP®9olygonŽ‘,³«.‘Y—Also“remo•¸ãv“ed– Åthe“ÂRectangleŽŽ¡«vš¸ãersions,–UUsince“ÂRectangleŽ‘8ê?«inherits“the“ÂP®9olygonŽ‘/¯˜«v˜ersions.Ž©ŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽŸ975.‘ ünon-const‘ÕTv®9ersion.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +ÂpublicŽ‘)=Ö«:‘·h–ª¨«Declare‘UUÂP®9olygonŽ‘/¯˜«functions‘@­978“·iŽ¡‘ +g«;ŽŸ 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ÝPolygon::iŽ‘kÆÜntersection_points()Ž’ÔÆ .\n"Ž’í·‘ÇÏ ushŽ‘€«;Ž¡‘ÝDEBUGŽ‘;t«=‘ÇÏfalseŽ‘v\«;ަ‘Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘oHÈÏbppŽ’‚É«=‘ÇÝINVALID_BOOL_POINT_PAIRŽ‘| ;«;‘±=·‘ãÔ«The–9,return“v‘ÿqÇalue.‘hd[¬LDF‘T2003.06.13.«]Ž‘Tÿ·±=Ž¡‘ÂPlaneŽ‘>6»ÏplŽ‘J3Þ«=‘ÇÏget‘‰ffŽ‘®planeŽ‘+>«(‘ª¨);Ž¡‘ÂP•®9oin“tŽ‘<ï Ïpt‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘d“Q«(Ïpt1Ž–¢·‘8àÏpt0Ž“«);Ž¡‘ÂP•®9oin“tŽ‘<ï Ïsurfac–ÿ}'e‘‰ffŽ‘®ve“ctorŽ‘z®L«(Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(0Ž‘)–8à·“Ïc‘ÿ}'enterŽ‘Bk«);ަ‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘(ÏplŽ‘16±:Ïp‘ÿ}'ointŽ‘.Œ±:ÏshowŽ‘Šÿ«(Ý"pl.point"Ž‘5J«);Ž¡‘(ÏplŽ‘16±:ÏnormalŽ‘ V¸±:ÏshowŽ‘Šÿ«(Ý"pl.normal"Ž‘:FG«);Ž¡‘(Ïpt0Ž‘7i?±:ÏshowŽ‘Šÿ«(Ý"pt0"Ž‘ÆY«);Ž¡‘(Ïpt1Ž‘7i?±:ÏshowŽ‘Šÿ«(Ý"pt1"Ž‘ÆY«);Ž¡‘(Ïpt‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘O£µ±:ÏshowŽ‘Šÿ«(Ý"pt_vector"Ž‘:FG«);Ž¡‘(Ïsurfac–ÿ}'e‘‰ffŽ‘®ve“ctorŽ‘e¾°±:ÏshowŽ‘Šÿ«(Ý"surface_vector"Ž‘T†8«);Ž¡‘·gަ‘ÂP•®9oin“tŽ‘<ï Ïcr‘ÿ}'ossŽ‘V£Ö«=‘ÇÏsurfac–ÿ}'e‘‰ffŽ‘®ve“ctorŽ‘@…ı:Ïcr–ÿ}'oss‘‰ffŽ‘®pr“o“ductŽ‘:Œé«(Ïpt‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘'£±«);ަ‘Ïcr‘ÿ}'ossŽ‘4í!±:Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘0•u«(Ïtrueޑƫ);Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘(Ïcr‘ÿ}'ossŽ‘>í"±:ÏshowŽ‘Šÿ«(Ý"cross"Ž‘%FS«);Ž¡‘(ÏplŽ‘16±:ÏnormalŽ‘ V¸±:ÏshowŽ‘Šÿ«(Ý"pl.normal"Ž‘:FG«);Ž¡‘·gަ‘ÂshortŽ‘;ʦÏdistanc‘ÿ}'eŽ‘b×»«=‘ÇÏplŽ‘ ý#±:Ïget‘‰ffŽ‘®distanc‘ÿ}'eŽ‘4y¹«(Ïpt0Ž‘i;«)±:Ïse–ÿ}'c“ondŽ‘§Ç«;ŽŸÂ983.‘ üDegenerate–ÕTcases,“error“handling.ަ·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­976“·i‘Ç«+·Ž¡‘ +[¬LDF‘T2003.06.17.«]Ž‘Y;Minor›UUc•¸ãhange.‘qÇNo“w˜using˜Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ–*·«(0Ž‘)˜and˜Ïc‘ÿ}'enterŽ‘"´5«instead˜of˜Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ“«(0Ž‘)˜andަÏget‘‰ffŽ–®last‘‰ffŽ“p‘ÿ}'ointŽ‘:$>«(‘ª®)–UUto“generate“Ïsurfac–ÿ}'e‘‰ffŽ‘®ve“ctorŽ‘A«.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂP®9olygonŽ‘/¯˜«functions‘@­978“·i‘Ç«+·ަ‘ +Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘[dïÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ’¬ñΫ(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]Ïpt0Ž‘TJ˜±;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒÏpt1Ž‘Uõ@«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹– Šn ý‘ì·x«985–­3DLDFPRÃŽG’èPÂPOINT‘ÕX­VERSION“«283Ž €n ý•@PÂ985.Ž©·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­979“·i‘Ç«+·ޤ ‘ +Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘[~HP®9olygonŽ’…ƒ:«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘RŒã«(ÂconstŽ‘CûP•®9oin“tŽ‘=Lñ«&Ž‘EÏpt0Ž‘T}J±;‘ª¨ÂconstŽ‘î£P•®9oin“tŽ‘>÷™«&Ž‘F¾·Ïpt1Ž‘V'ò«)‘n®ÂconstŽ‘Cû·f‘n®Âb•QÇo“olŽŽ¡‘2ÝDEBUGŽ‘Ov«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝPolygon::iŽ‘kÆÜntersection_points()Ž’ÔÆ .\n"Ž’í·‘ÇÏ 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V¸±:ÏshowŽ‘Šÿ«(Ý"pl.normal"Ž‘:FG«);Ž¡‘(Ïpt0Ž‘7i?±:ÏshowŽ‘Šÿ«(Ý"pt0"Ž‘ÆY«);Ž¡‘(Ïpt1Ž‘7i?±:ÏshowŽ‘Šÿ«(Ý"pt1"Ž‘ÆY«);Ž¡‘(Ïpt‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘O£µ±:ÏshowŽ‘Šÿ«(Ý"pt_vector"Ž‘:FG«);Ž¡‘(Ïsurfac–ÿ}'e‘‰ffŽ‘®ve“ctorŽ‘e¾°±:ÏshowŽ‘Šÿ«(Ý"surface_vector"Ž‘T†8«);Ž¡‘·gަ‘ÂP•®9oin“tŽ‘<ï Ïcr‘ÿ}'ossŽ‘V£Ö«=‘ÇÏsurfac–ÿ}'e‘‰ffŽ‘®ve“ctorŽ‘@…ı:Ïcr–ÿ}'oss‘‰ffŽ‘®pr“o“ductŽ‘:Œé«(Ïpt‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘'£±«);ަ‘Ïcr‘ÿ}'ossŽ‘4í!±:Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘0•u«(Ïtrueޑƫ);Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘(Ïcr‘ÿ}'ossŽ‘>í"±:ÏshowŽ‘Šÿ«(Ý"cross"Ž‘%FS«);Ž¡‘(ÏplŽ‘16±:ÏnormalŽ‘ V¸±:ÏshowŽ‘Šÿ«(Ý"pl.normal"Ž‘:FG«);Ž¡‘·gަ‘ÂshortŽ‘;ʦÏdistanc‘ÿ}'eŽ‘b×»«=‘ÇÏplŽ‘ ý#±:Ïget‘‰ffŽ‘®distanc‘ÿ}'eŽ‘4y¹«(Ïpt0Ž‘i;«)±:Ïse–ÿ}'c“ondŽ‘§Ç«;ŽŸÂ986.‘ üDegenerate–ÕTcases,“error“handling.ަ·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­979“·i‘Ç«+·Ž¡‘ ÂifŽ‘qv«(Ïpt‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘*jÉ·‘ÇÝINVALID_POINTŽ–I?5·_‘±ÜÏplŽ› çç±:ÏnormalŽ‘#з‘ÇÝINVALID_POINTŽ“·_‘±ÜÏpt‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘,¥·‘ÇÏoriginŽ‘o·_‘±ÜÏplŽ˜±:ÏnormalŽ‘#з‘ÇÏoriginŽ‘½9«)Ž¡‘·fŽ¡‘Ïc‘ÿ}'errŽ‘-½ø·‘PÝ"ERROR!È 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+«[¬LDF‘T2003.06.20.«]Ž‘Y;No•¸ãw›UUc“hec“king˜Ïsurfac–ÿ}'e‘‰ffŽ‘®ve“ctorŽ‘DiV«against˜Ïpt‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘.N[«in˜the˜follo“wing˜conditional.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­979“·i‘Ç«+·Ž¡‘ ÂelseŽ‘?ìifŽ‘*›«(Ïsurfac–ÿ}'e‘‰ffŽ‘®ve“ctorŽ‘@…Ä·‘ÇÏpt‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘*Ç·_\RÏsurfac–ÿ}'e‘‰ffŽ‘®ve“ctorŽ‘@â·‘ÇŽ‘ Ž6Ïpt‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘2Ž9·_\RÏcr‘ÿ}'ossŽ–ˆ·‘ÇÏplŽ‘ ý#±:ÏnormalŽ‘ ³ ·_\RÏcr‘ÿ}'ossŽ“·‘ÇŽ‘ -Ž6ÏplŽ‘ÄA±:ÏnormalŽ‘ V¸«)Ž¡‘·fŽŽŽŒ‹$0 Šn ý‘ì·x«985–­3DLDFPRÃŽG’º COPLANAR‘ÕXCASE“«281Ž €n ý•@PÂ985.– üCoplanar‘‚case.“«[¬LDF‘T2003.06.13.«]Ž‘[·Only–]Öthose“inš¸ãtersection“pGoin˜ts“that“are“on“the“line“segmen˜tsޤ making–M-of“the“ÂP®9olygonŽ‘/ŸH«are“returned“in“ÏbppŽ‘D«.‘oIf“an“inš¸ãtersection“ÂP•®9oin“tŽ‘"4¢«lies“on“bGoth“segmen˜ts,‘NÏthe“Âb•QÇo“olŽ‘æk«partŽ¡of–ÅÅthe“Âb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘:ÝЫwill“bšGe“ÏtrueŽ‘Š]«,‘â{otherwise“ÏfalseŽ‘u «.‘AíIf“a“ÂP•®9oin“tŽ‘!%Ò«lies“on“a“line“segmen¸ãt“b˜elonging“to“the“ÂP®9olygonŽ‘+ʳ«,Ž¡but–dZnot“to“the“line“segmenš¸ãtŸúÙf“·ŽŽ‘ Ú”‘þãŽŽŽ‘Ž>‘þãŽŽŽ‘=Q!ŽŽŸ&š“±ptŸÿ®0Ž‘|s±ptŸÿ®1ŽŽŽŽŽ‘¦$«,‘hthe“ÂP•®9oin“tŽ‘"bü«will“bGe“put“in˜to“the“Âb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘8¶ «,‘hbut“the“Âb•QÇo“olޑūwill“bGe“ÏfalseŽ‘ž«.Ž¡The–ùreason“for“this“is,‘>that“the“angles“of“the“sides“of“the“ÂP®9olygonŽ‘/ à«can“cause“inš¸ãtersection“pGoin˜ts“to“bGe“found,Ž¡that–UUthe“user“probably“wš¸ãon't“w˜an˜t.Ž©·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­976“·i‘Ç«+·Ž¡‘ +Ž6ÏplŽ‘ÄA±:ÏnormalŽ‘ V¸«)Ž¡‘·fŽŽŽŒ‹ ÷ Šn ý‘ì«284–­COPLANAR‘ÕXCASE’º 3DLDFPRÃŽG“·x«988Ž €n ý•@PÂ988.– üCoplanar‘‚case.“«[¬LDF‘T2003.06.13.«]Ž‘[·Only–]Öthose“inš¸ãtersection“pGoin˜ts“that“are“on“the“line“segmen˜tsޤ making–M-of“the“ÂP®9olygonŽ‘/ŸH«are“returned“in“ÏbppŽ‘D«.‘oIf“an“inš¸ãtersection“ÂP•®9oin“tŽ‘"4¢«lies“on“bGoth“segmen˜ts,‘NÏthe“Âb•QÇo“olŽ‘æk«partŽ¡of–ÅÅthe“Âb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘:ÝЫwill“bšGe“ÏtrueŽ‘Š]«,‘â{otherwise“ÏfalseŽ‘u «.‘AíIf“a“ÂP•®9oin“tŽ‘!%Ò«lies“on“a“line“segmen¸ãt“b˜elonging“to“the“ÂP®9olygonŽ‘+ʳ«,Ž¡but–dZnot“to“the“line“segmenš¸ãtŸúÙf“·ŽŽ‘ Ú”‘þãŽŽŽ‘Ž>‘þãŽŽŽ‘=Q!ŽŽŸ&š“±ptŸÿ®0Ž‘|s±ptŸÿ®1ŽŽŽŽŽ‘¦$«,‘hthe“ÂP•®9oin“tŽ‘"bü«will“bGe“put“in˜to“the“Âb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘8¶ «,‘hbut“the“Âb•QÇo“olޑūwill“bGe“ÏfalseŽ‘ž«.Ž¡The–ùreason“for“this“is,‘>that“the“angles“of“the“sides“of“the“ÂP®9olygonŽ‘/ à«can“cause“inš¸ãtersection“pGoin˜ts“to“bGe“found,Ž¡that–UUthe“user“probably“wš¸ãon't“w˜an˜t.Ž©·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­979“·i‘Ç«+·Ž¡‘ ÂifŽ‘´ù«(Ïdistanc‘ÿ}'eŽ‘' ·‘Ç«0Ž‘Ç)‘·fŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"LineÈ ÝandÈ ÝPolygonÈ ÝarŽ‘kÆÜeÈ Ýcoplanar.\n"Ž’µÍ«;ަ‘Âb•QÇo“olŽ‘-¡hÏfoundŽ‘J:÷«=‘ÇÏfalseŽ‘v\«;Ž¡‘Âb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘L§ÏbpŽ‘W‚«;Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏq0Ž‘>ƒ†«;Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏq1Ž‘>ƒ†«;ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘ÏshowŽ‘Šÿ«(Ý"this"Ž‘ V«);Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂP•®9oin“tŽ‘ï·Ž‘#ïži‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘ÇÏp‘ÿ}'ointsŽ–ë­±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏp‘ÿ}'ointsŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘ÂifŽ‘)´û«((ÏiterŽ‘Þ«+‘8à1Ž‘8á)–Ç·“Ïp‘ÿ}'ointsŽ‘ë­±:ÏendŽ‘ಫ(‘ª¨))‘·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"DoingÈ ÝlastÈ Ýsegment.Ž‘kÆÜ\n"Ž‘| ;«;Ž¡‘(Ïq0Ž‘6[«=‘Ç·Ž‘Ç«(Ïp‘ÿ}'ointsŽ‘$•±:Ïb‘ÿ}'ackŽ‘üë(‘ª¨));Ž¡‘(Ïq1Ž‘6[«=‘Ç·Ž‘Ç«(Ïp‘ÿ}'ointsŽ‘$•±:Ïfr‘ÿ}'ontŽ‘I‘«(‘ª¨));Ž¡‘·gŽ¡‘ÂelseŽ‘5Øâ·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"DoingÈ ÝnormalÈ ÝsegmenŽ‘kÆÜt.\n"Ž’†5«;Ž¡‘(Ïq0Ž‘6[«=‘Ç·Ž‘ÇŽ‘ ÇÏiterŽ‘’«;Ž¡‘(Ïq1Ž‘6[«=‘Ç·Ž‘ÇŽ‘ Ç«(ÏiterŽ‘Þ«+‘8à1Ž‘8á);Ž¡‘·gŽ¡‘ÏbpŽ‘+¡”«=‘ÇÂP•®9oin“tŽ‘ad«::Ž‘%ï¢Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ‘s†x«(Ïpt0Ž‘i;±;‘ª¨Ïpt1Ž‘ã±;‘ª¨Ïq0Ž– >±;‘ª¨Ïq1Ž“«);Ž¡‘ÂifŽ‘)´û«(ÏbpŽ‘ Úy±:bŽ‘Jª«)‘±=·‘ÿý«In•¸ãtersection›UUpGoin“t˜is˜on˜bGoth˜segmen“ts.‘o·±=Ž¡‘·fŽ¡‘(ÂifŽ‘3´ü«(·:ÏfoundŽ‘Òw«)‘·fŽ¡‘2ÏbppŽ‘Aöî±:Ï rstŽ‘µª±:bŽ‘«=‘ÇÏtrueŽ‘‹°«;Ž¡‘2ÏbppŽ‘Aöî±:Ï rstŽ‘µª±:ÏptŽ‘ «µ«=‘ÇÏbpŽ‘ ¡‘±:ÏptŽ‘ ä«;Ž¡‘2ÏfoundŽ‘N™”«=‘ÇÏtrueŽ‘‹°«;Ž¡‘2ÂifŽ‘=´ý«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"FoundÈ ÝfirstÈ ÝinterseŽ‘kÆÜction.\n"Ž’›)«;Ž¡‘(·gŽ¡‘(ÂelseŽ‘?Øã·fŽ¡‘2ÏbppŽ‘Aöî±:Ïse–ÿ}'c“ondŽ‘§Ç±:bŽ‘«=‘ÇÏtrueŽ‘‹°«;Ž¡‘2ÏbppŽ‘Aöî±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ «µ«=‘ÇÏbpŽ‘ ¡‘±:ÏptŽ‘ ä«;Ž¡‘2ÂifŽ‘=´ý«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"FoundÈ ÝsecondÈ ÝintersŽ‘kÆÜection.È ÝReturning.\nŽ’ÔÆ "Ž’Ú«;Ž¡‘2ÂreturnŽ‘Uæ¿ÏbppŽ‘eݨ«;Ž¡‘(·gŽ¡‘gŽ¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(ÏbpŽ‘ -Úy±:ÏptŽ‘ «µ·6«=‘ÇÝINVALID_POINTŽ‘IÆ9·^‘8àÏbpŽ‘ Y±:ÏptŽ‘ ä±:Ïis‘‰ffŽ–®on‘‰ffŽ“se‘ÿ}'gmentŽ‘=5O«(Ïq0Ž‘ “ç±;‘ª¨Ïq1Ž‘ >«)±:Ï rstŽ‘µª«)‘·fŽ¡‘(ÂifŽ‘3´ü«(·:ÏfoundŽ‘Òw«)‘·fŽ¡‘2ÏbppŽ‘Aöî±:Ï rstŽ‘µª±:bŽ‘«=‘ÇÏfalseŽ‘v\«;Ž¡‘2ÏbppŽ‘Aöî±:Ï rstŽ‘µª±:ÏptŽ‘ «µ«=‘ÇÏbpŽ‘ ¡‘±:ÏptŽ‘ ä«;Ž¡‘2ÏfoundŽ‘N™”«=‘ÇÏtrueŽ‘‹°«;Ž¡‘2ÂifŽ‘=´ý«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"FoundÈ ÝfirstÈ ÝinterseŽ‘kÆÜction.\n"Ž’›)«;Ž¡‘(·gŽ¡‘(ÂelseŽ‘?Øã·fŽ¡‘2ÏbppŽ‘Aöî±:Ïse–ÿ}'c“ondŽ‘§Ç±:bŽ‘«=‘ÇÏfalseŽ‘v\«;Ž¡‘2ÏbppŽ‘Aöî±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ «µ«=‘ÇÏbpŽ‘ ¡‘±:ÏptŽ‘ ä«;ŽŽŽŒ‹3µ Šn ý‘ì«282–­COPLANAR‘ÕXCASE’º 3DLDFPRÃŽG“·x«985Ž €n ý•@P‘2ÂifŽ‘=´ý«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"FoundÈ ÝsecondÈ ÝintersŽ‘kÆÜection.È ÝReturning.\nŽ’ÔÆ "Ž’Ú«;ޤ ‘2ÂreturnŽ‘Uæ¿ÏbppŽ‘eݨ«;Ž¡‘(·gŽ¡‘gŽ¡‘ÂelseŽ‘5Øâcon•®9tin“ueŽ‘`¿—«;Ž¡‘·g‘±=·‘ÿýÂforŽ‘“+·±=Ž¡‘ÂreturnŽ‘7æ¼ÏbppŽ‘GÝ¥«;Ž¡‘ -·g‘±=·‘ÿý«End–UUof“coplanar“case.‘o·±=ŽŸÂ986.‘ üP®9arallel‘ÕTcase.ŽŸ·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­976“·i‘Ç«+·Ž¡‘ +Úy±:ÏptŽ‘ «µ·6«=‘ÇÝINVALID_POINTŽ‘IÆ9·^‘8àÏbpŽ‘ Y±:ÏptŽ‘ ä±:Ïis‘‰ffŽ–®on‘‰ffŽ“se‘ÿ}'gmentŽ‘=5O«(Ïq0Ž‘ “ç±;‘ª¨Ïq1Ž‘ >«)±:Ï rstŽ‘µª«)‘·fŽ¡‘(ÂifŽ‘3´ü«(·:ÏfoundŽ‘Òw«)‘·fŽ¡‘2ÏbppŽ‘Aöî±:Ï rstŽ‘µª±:bŽ‘«=‘ÇÏfalseŽ‘v\«;Ž¡‘2ÏbppŽ‘Aöî±:Ï rstŽ‘µª±:ÏptŽ‘ «µ«=‘ÇÏbpŽ‘ ¡‘±:ÏptŽ‘ ä«;Ž¡‘2ÏfoundŽ‘N™”«=‘ÇÏtrueŽ‘‹°«;Ž¡‘2ÂifŽ‘=´ý«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"FoundÈ ÝfirstÈ ÝinterseŽ‘kÆÜction.\n"Ž’›)«;Ž¡‘(·gŽ¡‘(ÂelseŽ‘?Øã·fŽ¡‘2ÏbppŽ‘Aöî±:Ïse–ÿ}'c“ondŽ‘§Ç±:bŽ‘«=‘ÇÏfalseŽ‘v\«;Ž¡‘2ÏbppŽ‘Aöî±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ «µ«=‘ÇÏbpŽ‘ ¡‘±:ÏptŽ‘ ä«;ŽŽŽŒ‹0R Šn ý‘ì·x«988–­3DLDFPRÃŽG’º COPLANAR‘ÕXCASE“«285Ž €n ý•@P‘2ÂifŽ‘=´ý«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"FoundÈ ÝsecondÈ ÝintersŽ‘kÆÜection.È ÝReturning.\nŽ’ÔÆ "Ž’Ú«;ޤ ‘2ÂreturnŽ‘Uæ¿ÏbppŽ‘eݨ«;Ž¡‘(·gŽ¡‘gŽ¡‘ÂelseŽ‘5Øâcon•®9tin“ueŽ‘`¿—«;Ž¡‘·g‘±=·‘ÿýÂforŽ‘“+·±=Ž¡‘ÂreturnŽ‘7æ¼ÏbppŽ‘GÝ¥«;Ž¡‘ +·g‘±=·‘ÿý«End–UUof“coplanar“case.‘o·±=ŽŸÂ989.‘ üP®9arallel‘ÕTcase.ŽŸ·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­979“·i‘Ç«+·Ž¡‘ ÂelseŽ‘!Øà·fŽ¡‘Ïc‘ÿ}'errŽ‘-y ·‘ÃdÝ"WARNING!È ÝInÈ ÝPolygonŽ‘oÃ(::intersection_pointŽ’ØÂìs():\n"Ž’Ì£·Ž¡‘(Ý"LineÈ ÝandÈ ÝPolygonÈ ÝarŽ’ÿÈeÈ ÝinÈ ÝparallelÈ ÝplanesŽ’ùÿŒ.\n"Ž’P·Ž¡‘(Ý"NoÈ Ýintersections.È ÝRŽ’ÿÈeturningÈ ÝINVALID_BOOŽ’ùÿŒL_POINT_PAIR."Ž’FÌâ·‘ÇÏend‘‚ØlŽ–ò·‘ÇÏend‘‚ØlŽ“·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘7æ¼ÝINVALID_BOOL_POINT_PAIRŽ’±,ß«;Ž¡‘ ·gŽ¡‘ -g‘±=·‘ÿý«End–UUof“parallel“and“coplanar“cases.‘o·±=ŽŽŽŒ‹C‘ Šn ý‘ì·x«987›­3DLDFPRÃŽG’˜6˜PERPENDICULAR–ÕXAND“NON-COPLANAR“CASES˜«283Ž €n ý•@PÂ987.› üP®9erpQÇendicular–õand“non-coplanar“cases.˜«[¬LDF‘T2003.06.13.«]Ž‘ZÄÂThese–‘ácases“are“handled“in“exactlyޤ the–UUsame“w•¸ãa“y‘ÿ*ª.Ž©·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­976“·i‘Ç«+·Ž¡‘ +g‘±=·‘ÿý«End–UUof“parallel“and“coplanar“cases.‘o·±=ŽŽŽŒ‹@. Šn ý‘ì«286›­PERPENDICULAR–ÕXAND“NON-COPLANAR“CASES’˜6˜3DLDFPRÃŽG˜·x«990Ž €n ý•@PÂ990.› üP®9erpQÇendicular–õand“non-coplanar“cases.˜«[¬LDF‘T2003.06.13.«]Ž‘ZÄÂThese–‘ácases“are“handled“in“exactlyޤ the–UUsame“w•¸ãa“y‘ÿ*ª.Ž©·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­979“·i‘Ç«+·Ž¡‘ ÂelseŽ‘ .5·fŽ¡‘ ÂifŽ‘´ù«(ÏplŽ‘ 6 ±:ÏnormalŽ–#з‘ÇÏpt‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘,£©·_‘8àÏplŽ‘ në±:ÏnormalŽ“·‘ÇŽ‘ Ž6Ïpt‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘21ç«)‘·fŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"TheÈ ÝlineÈ ÝisÈ ÝperpendŽ‘kÆÜicularÈ ÝtoÈ ÝtheÈ ÝPolygoŽ’ÔÆ n.\n"Ž’òT·‘ÇÏ ushŽ‘€«;Ž¡‘ @@ -3733,481 +3780,495 @@ Úy±:ÏptŽ– «µ·‘ÇÏr0Ž‘1½·_‘8àÏbpŽ‘ Y±:ÏptŽ“·‘ÇÏr1Ž‘ øÝ«)‘·fŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘ÂifŽ‘)´û«(ÏbpŽ‘ Úy±:ÏptŽ‘ «µ·‘ÇÏr0Ž‘ øÝ«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"bp.ptÈ Ý==È Ýr0."Ž‘O”n·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(ÏbpŽ‘ Úy±:ÏptŽ‘ «µ·‘ÇÏr1Ž‘ øÝ«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"bp.ptÈ Ý==È Ýr1."Ž‘O”n·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ÏbppŽ‘#öë±:Ï rstŽ‘µª±:ÏptŽ‘ «µ«=‘ÇÏbpŽ‘ ¡‘±:ÏptŽ‘ ä«;Ž¡‘ÏbppŽ‘#öë±:Ï rstŽ–µª±:bŽ‘«=‘ÇÏbpŽ‘ ¡‘±:ÏptŽ‘ ä±:Ïis‘‰ffŽ–®on‘‰ffŽ“se‘ÿ}'gmentŽ‘=5O«(Ïpt0Ž‘i;±;‘ª¨Ïpt1Ž‘ã«)±:Ï rstŽ“«;Ž¡‘ÂreturnŽ‘7æ¼ÏbppŽ‘GÝ¥«;Ž¡‘ -·gŽŽŽŒ‹G¦ Šn ý‘ì«284›­PERPENDICULAR–ÕXAND“NON-COPLANAR“CASES’˜6˜3DLDFPRÃŽG˜·x«988Ž €n ý•@PÂ988.‘ ü«[¬LDF‘T2003.06.24.«]Ž‘Zˆ6ÝDEBUGŽ‘x£ä«is–UUpassed“as“the“Ïverb‘ÿ}'oseŽ‘'<«argumen¸ãt“to“Ïis‘‰ffŽ–®in‘‰ffŽ“triangleŽ‘<äö«(‘ª®).‘qÇSo,“ifޤ Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘QŒß«(›ª®)–Dis“bGeing“debugged,‘ÆÏis‘‰ffŽ–®in‘‰ffŽ“triangleŽ‘>g«(˜)“will“prinš¸ãt“more“information.‘> Ho˜w˜ev˜er,‘ÆÝDEBUGŽ‘#Š5«inŽ¡Ïis‘‰ffŽ–®in‘‰ffŽ“triangleŽ‘9¡«(‘ª®)–UUwill“not“bGe“set“to“ÏtrueŽ‘í«.Ž©·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­976“·i‘Ç«+·Ž¡‘ +·gŽŽŽŒ‹DC Šn ý‘ì·x«991›­3DLDFPRÃŽG’˜6˜PERPENDICULAR–ÕXAND“NON-COPLANAR“CASES˜«287Ž €n ý•@PÂ991.‘ ü«[¬LDF‘T2003.06.24.«]Ž‘Zˆ6ÝDEBUGŽ‘x£ä«is–UUpassed“as“the“Ïverb‘ÿ}'oseŽ‘'<«argumen¸ãt“to“Ïis‘‰ffŽ–®in‘‰ffŽ“triangleŽ‘<äö«(‘ª®).‘qÇSo,“ifޤ Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘QŒß«(›ª®)–Dis“bGeing“debugged,‘ÆÏis‘‰ffŽ–®in‘‰ffŽ“triangleŽ‘>g«(˜)“will“prinš¸ãt“more“information.‘> Ho˜w˜ev˜er,‘ÆÝDEBUGŽ‘#Š5«inŽ¡Ïis‘‰ffŽ–®in‘‰ffŽ“triangleŽ‘9¡«(‘ª®)–UUwill“not“bGe“set“to“ÏtrueŽ‘í«.Ž©·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­979“·i‘Ç«+·Ž¡‘ ÂelseŽŽ¡‘ifŽ‘´ú«(ÏbpŽ‘ Úy±:ÏptŽ‘ ä±:Ïis‘‰ffŽ–®in‘‰ffŽ“triangleŽ‘9¡«(Ïc‘ÿ}'enterŽ‘ ‹±;‘ª¨Ïr0Ž– Üm±;‘ª¨Ïr1Ž“±;‘ª¨ÝDEBUGŽ‘q«))‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"IntersectionÈ ÝpointÈ Ž‘kÆÜÝisÈ ÝwithinÈ Ýtriangle.\Ž’ÔÆ n"Ž’ßÍ«;Ž¡‘ÏbppŽ‘-öì±:Ï rstŽ‘µª±:ÏptŽ‘ «µ«=‘ÇÏbpŽ‘ ¡‘±:ÏptŽ‘ ä«;Ž¡‘ÏbppŽ‘-öì±:Ï rstŽ–µª±:bŽ‘«=‘ÇÏbpŽ‘ ¡‘±:ÏptŽ‘ ä±:Ïis‘‰ffŽ–®on‘‰ffŽ“se‘ÿ}'gmentŽ‘=5O«(Ïpt0Ž‘i;±;‘ª¨Ïpt1Ž‘ã«)±:Ï rstŽ“«;Ž¡‘ÂreturnŽ‘Aæ½ÏbppŽ‘Qݦ«;Ž¡‘·gŽ¡‘ -g–UUg‘±=·‘ÿý«End“of“\P¸ãerpGendicular“and“non-coplanar“cases".‘o·±=ŽŸÂ989.‘ üEnd–ÕTof“de nition.ަ·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­976“·i‘Ç«+·Ž¡‘ +g–UUg‘±=·‘ÿý«End“of“\P¸ãerpGendicular“and“non-coplanar“cases".‘o·±=ŽŸÂ992.‘ üEnd–ÕTof“de nition.ަ·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­979“·i‘Ç«+·Ž¡‘ ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝPolygon::inŽ‘kÆÜtersection_points().Ž’ÔÆ \n\n"Ž’òT·‘ÇÏ ushŽ‘€«;Ž¡‘ -ÂreturnŽ‘-æ»ÏbppŽ‘=ݤ«;‘qÇ·gŽŸÂ990.‘ üP•®9ath‘ÕTv“ersion.ަ·h–ª¨«Declare‘UUÂP®9olygonŽ‘/¯˜«functions‘@­975“·i‘Ç«+·Ž¡‘ -Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘[dïÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ’¬ñΫ(ÂconstŽ‘*¢P®9athŽ‘:[«&Ž‘AØy±pŽ‘Fày«)‘UUÂconstŽ‘*¢«;ŽŸÂ991.ަ·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­976“·i‘Ç«+·Ž¡‘ +ÂreturnŽ‘-æ»ÏbppŽ‘=ݤ«;‘qÇ·gŽŸÂ993.‘ üP•®9ath‘ÕTv“ersion.ަ·h–ª¨«Declare‘UUÂP®9olygonŽ‘/¯˜«functions‘@­978“·i‘Ç«+·Ž¡‘ +Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘[dïÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ’¬ñΫ(ÂconstŽ‘*¢P®9athŽ‘:[«&Ž‘AØy±pŽ‘Fày«)‘UUÂconstŽ‘*¢«;ŽŸÂ994.ަ·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­979“·i‘Ç«+·Ž¡‘ Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘[dïP®9olygonŽ’…iá«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘RŒã«(ÂconstŽ‘*¢P®9athŽ‘:[«&Ž‘AØy±pŽ‘Fày«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂifŽ‘´ú«(·:±pŽ‘:Ïis‘‰ffŽ‘®line‘ÿ}'arŽ‘%}«(‘ª¨))‘·fŽ¡‘Ïc‘ÿ}'errŽ‘5¼Y·‘°Ý"ERROR!È ÝInÈ ÝPolygon::Ž‘ntintersection_points(Ž’×8constÈ ÝPath&È Ýp):\n"Ž’;·Ž¡‘2Ý"PathÈ ÝpÈ ÝisÈ Ýnon-lineaŽ’šÿÉr.È ÝReturningÈ ÝINVALIŽ’ÿD_BOOL_POINT_PAIR.\nŽ’lÿQ\n"Ž’€ È·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_BOOL_POINT_PAIRŽ’»,à«;Ž¡‘·gŽ¡‘ÂreturnŽ‘7æ¼Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ’‰s›«(±pŽ‘:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(0Ž‘)±;‘ª¨pŽ‘²¨:Ïget‘‰ffŽ–®last‘‰ffŽ“p‘ÿ}'ointŽ‘:$>«(‘ª¨));Ž¡‘ -·gŽŸÂ992.‘ üInš®9tersection–ê˜with“another“P˜olygon.‘ ü«TO‘‰DO:–‰7Explain“what“this“function“doGes“and“hoš¸ãw“it“w˜orks.Ž¡[¬LDF‘T2003.06.29.«]ŽŽ¡‘ -TO‘KDO:–ZFind“out“where“Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘3­Ï«(‘ª®)“gets“called,›$Œwhen“this“function“is“called,˜and“try“to“pass“ÏtrueŽ‘õL«as“itsŽ¡ÏsilentŽ‘ i«argumen¸ãt.‘qÇ[¬LDF‘T2003.07.16.«]ŽŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.06.29.«]Ž‘Y;Replaced–UUthe“dumm¸ãy“de nition“of“this“function“with“a“real“one.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP®9olygonŽ‘/¯˜«functions‘@­975“·i‘Ç«+·Ž¡‘ -Âv®9ectorŽ‘)ªI·hÂP•®9oin“tŽ‘šH·i‘UUÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘Tâ4«(ÂconstŽ‘*¢P®9olygonŽ‘J„å«&Ž‘RL±rŽ‘W«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹Ur Šn ý‘ì·x«993›­3DLDFPRÃŽG’™ÔÄINTERSECTION–ÕXWITH“ANOTHER“ÂPOL‘ÿ -«YGON˜«285Ž €n ý•@PÂ993.Ž©·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­976“·i‘Ç«+·ޤ ‘ -Âv®9ectorŽ‘)ªI·hÂP•®9oin“tŽ‘šH·i‘UUÂP®9olygonŽ‘-ZG«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘RŒã«(ÂconstŽ‘*¢P®9olygonŽ‘J„å«&Ž‘RL±rŽ‘W«)‘UUÂconstŽ‘*¢·f‘UUÂb•QÇo“olŽ‘ö»ÝDEBUGŽ‘:„,«=‘ÇÏfalseŽ‘v\«;Ž¡‘(±=·‘ÿýÏtrueޑĒ·±=Ž¡‘Âv®9ectorŽ‘=ªK·hÂP•®9oin“tŽ‘šH·i‘UU±vޑЫ;Ž¡‘ÂPlaneŽ‘>6»ÏplŽ‘J3Þ«=‘ÇÏget‘‰ffŽ‘®planeŽ‘+>«(‘ª¨);Ž¡‘ÂPlaneŽ‘>6»Ïr‘‰ffŽ‘®plŽ‘Rf«=‘DZrŽ‘‘,:Ïget‘‰ffŽ‘®planeŽ‘(vè«(‘ª¨);ަ‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘(ÏplŽ‘16±:ÏnormalŽ‘ V¸±:ÏshowŽ‘Šÿ«(Ý"pl.normal"Ž‘:FG«);Ž¡‘(Ïr‘‰ffŽ‘®plŽ‘9—±:ÏnormalŽ‘ V¸±:ÏshowŽ‘Šÿ«(Ý"r_pl.normal"Ž‘DÆA«);Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"pl.distanceÈ Ý==È Ý"Ž‘_Te·‘ÇÏplŽ‘ ý#±:Ïdistanc‘ÿ}'eŽ‘' ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"r_pl.distanceÈ Ý==È Ý"Ž‘iÔ_·‘ÇÏr‘‰ffŽ‘®plŽ‘⫱:Ïdistanc‘ÿ}'eŽ‘' ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘·gަ‘ÂrealŽ‘4³1Ïdistanc‘ÿ}'eŽ‘[ÀF«=‘ÇÏfabsŽ‘ùê«(ÏfabsŽ‘2Ò«(ÏplŽ‘ 6 ±:Ïdistanc‘ÿ}'eŽ›$Eý«)–8à·“ÏfabsŽ‘k²«(Ïr‘‰ffŽ‘®plŽ‘“±:Ïdistanc‘ÿ}'eŽ˜«));ަ‘ÂifŽ‘)´û«(Ïdistanc‘ÿ}'eŽ‘' ±<‘ÇÂP•®9oin“tŽ‘ad«::Ž‘%ï¢ÏepsilonŽ‘E^¦«(‘ª¨))‘Ïdistanc‘ÿ}'eŽ‘, «=‘Ç0Ž‘Ç;Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"distanceÈ Ý==È Ý"Ž‘O”n·‘ÇÏdistanc‘ÿ}'eŽ‘)Ô-·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ÂifŽ‘)´û«(ÏplŽ‘ 6 ±:ÏnormalŽ‘#з‘ÇÏr‘‰ffŽ‘®plŽ‘⫱:ÏnormalŽ‘ V¸«)‘UU·fŽŸÂ994.‘ üCoplanar‘ÕTcase.ަ·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­976“·i‘Ç«+·Ž¡‘ +·gŽŸÂ995.‘ üInš®9tersection–ê˜with“another“P˜olygon.‘ ü«TO‘‰DO:–‰7Explain“what“this“function“doGes“and“hoš¸ãw“it“w˜orks.Ž¡[¬LDF‘T2003.06.29.«]ŽŽ¡‘ +TO‘KDO:–ZFind“out“where“Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘3­Ï«(‘ª®)“gets“called,›$Œwhen“this“function“is“called,˜and“try“to“pass“ÏtrueŽ‘õL«as“itsŽ¡ÏsilentŽ‘ i«argumen¸ãt.‘qÇ[¬LDF‘T2003.07.16.«]ŽŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.06.29.«]Ž‘Y;Replaced–UUthe“dumm¸ãy“de nition“of“this“function“with“a“real“one.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP®9olygonŽ‘/¯˜«functions‘@­978“·i‘Ç«+·Ž¡‘ +Âv®9ectorŽ‘)ªI·hÂP•®9oin“tŽ‘šH·i‘UUÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘Tâ4«(ÂconstŽ‘*¢P®9olygonŽ‘J„å«&Ž‘RL±rŽ‘W«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹ R Šn ý‘ì«288›­INTERSECTION–ÕXWITH“ANOTHER“ÂPOL‘ÿ +«YGON’™ÔÄ­3DLDFPRÃŽG˜·x«996Ž €n ý•@PÂ996.Ž©·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­979“·i‘Ç«+·ޤ ‘ +Âv®9ectorŽ‘)ªI·hÂP•®9oin“tŽ‘šH·i‘UUÂP®9olygonŽ‘-ZG«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘RŒã«(ÂconstŽ‘*¢P®9olygonŽ‘J„å«&Ž‘RL±rŽ‘W«)‘UUÂconstŽ‘*¢·f‘UUÂb•QÇo“olŽ‘ö»ÝDEBUGŽ‘:„,«=‘ÇÏfalseŽ‘v\«;Ž¡‘(±=·‘ÿýÏtrueޑĒ·±=Ž¡‘Âv®9ectorŽ‘=ªK·hÂP•®9oin“tŽ‘šH·i‘UU±vޑЫ;Ž¡‘ÂPlaneŽ‘>6»ÏplŽ‘J3Þ«=‘ÇÏget‘‰ffŽ‘®planeŽ‘+>«(‘ª¨);Ž¡‘ÂPlaneŽ‘>6»Ïr‘‰ffŽ‘®plŽ‘Rf«=‘DZrŽ‘‘,:Ïget‘‰ffŽ‘®planeŽ‘(vè«(‘ª¨);ަ‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘(ÏplŽ‘16±:ÏnormalŽ‘ V¸±:ÏshowŽ‘Šÿ«(Ý"pl.normal"Ž‘:FG«);Ž¡‘(Ïr‘‰ffŽ‘®plŽ‘9—±:ÏnormalŽ‘ V¸±:ÏshowŽ‘Šÿ«(Ý"r_pl.normal"Ž‘DÆA«);Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"pl.distanceÈ Ý==È Ý"Ž‘_Te·‘ÇÏplŽ‘ ý#±:Ïdistanc‘ÿ}'eŽ‘' ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"r_pl.distanceÈ Ý==È Ý"Ž‘iÔ_·‘ÇÏr‘‰ffŽ‘®plŽ‘⫱:Ïdistanc‘ÿ}'eŽ‘' ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘·gަ‘ÂrealŽ‘4³1Ïdistanc‘ÿ}'eŽ‘[ÀF«=‘ÇÏfabsŽ‘ùê«(ÏfabsŽ‘2Ò«(ÏplŽ‘ 6 ±:Ïdistanc‘ÿ}'eŽ›$Eý«)–8à·“ÏfabsŽ‘k²«(Ïr‘‰ffŽ‘®plŽ‘“±:Ïdistanc‘ÿ}'eŽ˜«));ަ‘ÂifŽ‘)´û«(Ïdistanc‘ÿ}'eŽ‘' ±<‘ÇÂP•®9oin“tŽ‘ad«::Ž‘%ï¢ÏepsilonŽ‘E^¦«(‘ª¨))‘Ïdistanc‘ÿ}'eŽ‘, «=‘Ç0Ž‘Ç;Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"distanceÈ Ý==È Ý"Ž‘O”n·‘ÇÏdistanc‘ÿ}'eŽ‘)Ô-·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ÂifŽ‘)´û«(ÏplŽ‘ 6 ±:ÏnormalŽ‘#з‘ÇÏr‘‰ffŽ‘®plŽ‘⫱:ÏnormalŽ‘ V¸«)‘UU·fŽŸÂ997.‘ üCoplanar‘ÕTcase.ަ·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­979“·i‘Ç«+·Ž¡‘ ÂifŽ‘´ù«(Ïdistanc‘ÿ}'eŽ‘' ·‘Ç«0Ž‘Ç)‘·fŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"Coplanar.\n"Ž‘GY«;ަ‘Âb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘L§ÏbpŽ‘W‚«;Ž¡‘ÂP•®9oin“tŽ‘2Ž‘7ï ÏptrŽ‘F,g«;Ž¡‘ÂP•®9oin“tŽ‘2Ž‘7ï Ïr‘‰ffŽ‘®ptrŽ‘Nï«;ަ‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂP•®9oin“tŽ‘ï·Ž‘#ïži‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘ÇÏp‘ÿ}'ointsŽ–ë­±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏp‘ÿ}'ointsŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘ÂifŽ‘)´û«((ÏiterŽ‘Þ«+‘8à1Ž‘8á)–Ç·“Ïp‘ÿ}'ointsŽ›ë­±:ÏendŽ‘ಫ(‘ª¨))‘Ïptrޑ߫=“Ïp‘ÿ}'ointsŽ˜±:Ïfr‘ÿ}'ontŽ‘I‘«(‘ª¨);Ž¡‘ÂelseŽ‘5ØâÏptrŽ‘FÜÁ«=‘Ç·Ž‘Ç«(ÏiterŽ‘Þ«+‘8à1Ž‘8á);Ž¡‘ÂforŽ‘/×C«(Âv®9ectorŽ‘ªH·hÂP•®9oin“tŽ‘ÞW·Ž‘#ÞXi‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûr‘‰ffŽ‘®iterŽ‘^ú™«=‘DZrŽ–‘,:Ïp‘ÿ}'ointsŽ›$•±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);‘î·Ïr‘‰ffŽ‘®iterŽ‘ fU·6«=‘DZrŽ“:Ïp‘ÿ}'ointsŽ˜±:ÏendŽ‘ಫ(‘ª¨);‘n·Ÿÿ®+‘ÿ+ŽŽ‘5×Ïr‘‰ffŽ‘®iterŽ‘)æ]«)‘·fŽ¡‘(ÂifŽ‘3´ü«((Ïr‘‰ffŽ‘®iterŽ‘éf«+‘8à1Ž‘8á)–Ç·“±rŽ›‘,:Ïp‘ÿ}'ointsŽ‘$•±:ÏendŽ‘ಫ(‘ª¨))‘Ïr‘‰ffŽ‘®ptrŽ‘ég«=“±rŽ˜:Ïp‘ÿ}'ointsŽ‘$•±:Ïfr‘ÿ}'ontŽ‘I‘«(‘ª¨);Ž¡‘(ÂelseŽ‘?ØãÏr‘‰ffŽ‘®ptrŽ‘XÂJ«=‘Ç·Ž‘Ç«(Ïr‘‰ffŽ‘®iterŽ‘éf«+‘8à1Ž‘8á);Ž¡‘(ÏbpŽ‘5¡•«=‘ÇÂP•®9oin“tŽ‘ad«::Ž‘%ï¢Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ‘s†x«(·Ž‘Ž‘ ÏiterŽ‘˱;‘ª¨·Ž‘ª©ÏptrŽ‘çp±;‘ª¨·Ž‘ª©Ž‘ ªªÏr‘‰ffŽ‘®iterŽ‘$[0±;‘ª¨·Ž‘ª©Ïr‘‰ffŽ‘®ptrŽ‘Ìø«);Ž¡‘(ÂifŽ‘3´ü«(ÏbpŽ– Úy±:bŽ‘Jª«)‘±vŽ‘ 4½:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÏbpŽ“±:ÏptŽ‘ ä«);Ž¡‘·g‘±=·‘ÿý«Inner‘UUÂforŽ‘胷±=Ž¡‘·g‘±=·‘ÿý«Outer‘UUÂforŽ‘胷±=Ž¡‘ÂreturnŽ‘7æ¼±vŽ‘=y«;Ž¡‘ -·gŽŸÂ995.‘ üP®9arallel‘ÕTcase.ަ·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­976“·i‘Ç«+·Ž¡‘ +·gŽŸÂ998.‘ üP®9arallel‘ÕTcase.ަ·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­979“·i‘Ç«+·Ž¡‘ ÂelseŽ‘0Øá±=·‘ÿý«P¸ãarallel.‘o·±=Ž¡‘ ·fŽ¡‘Ïc‘ÿ}'errŽ‘-V–·‘ îÝ"WARNING!È ÝInÈ ÝPolygoŽ‘o ²n::intersection_poinŽ’Ø vts():\n"Ž’ Ç´·Ž¡‘(Ý"TheÈ ÝPolygonsÈ ÝlieÈ ÝinŽ’ÿÈÈ ÝparallelÈ Ýplanes.È Ý"Ž’ø8Œ·‘ò•Ý"ReturningÈ ÝemptyÈ ÝvecŽ‘kòYtor.\n\n"Ž’Ãk&·Ž¡‘(Ï ushŽ‘=¹«;Ž¡‘ÂreturnŽ‘7æ¼±vŽ‘=y«;Ž¡‘ ·gŽ¡‘ -gŽŽŽŒ‹c¾ Šn ý‘ì«286›­NON-P‘ÿJªARALLEL,–ÕXNON-COPLANAR“CASE’¸iê3DLDFPRÃŽG˜·x«996Ž €n ý•@PÂ996.– üNon-parallel,‘non-coplanar‘kþcase.“±vŽ‘®u«will–ù¼conš¸ãtain“the“in˜tersection“pGoin˜ts“of“the“ÂLineŽ‘Kû±lŽ‘"sñ«with“·Ž‘ù½ÏthisŽŽ¤ «and‘µ‚±rŽ‘–«,‘Íif–µ‚anš¸ãy‘ÿ*ª.‘’M±vŽ‘|Œ«can“con˜tain“a“maxim˜um“of“four“ÂP•®9oin“tsŽ‘'Žˆ«in“this“case.‘’M±vŽ‘ +gŽŽŽŒ‹!`0 Šn ý‘ì·x«999›­3DLDFPRÃŽG’¸iêNON-P‘ÿJªARALLEL,–ÕXNON-COPLANAR“CASE˜«289Ž €n ý•@PÂ999.– üNon-parallel,‘non-coplanar‘kþcase.“±vŽ‘®u«will–ù¼conš¸ãtain“the“in˜tersection“pGoin˜ts“of“the“ÂLineŽ‘Kû±lŽ‘"sñ«with“·Ž‘ù½ÏthisŽŽ¤ «and‘µ‚±rŽ‘–«,‘Íif–µ‚anš¸ãy‘ÿ*ª.‘’M±vŽ‘|Œ«can“con˜tain“a“maxim˜um“of“four“ÂP•®9oin“tsŽ‘'Žˆ«in“this“case.‘’M±vŽ‘ Ç «[0Ž›]“and“±vŽ‘ê?«[1Ž˜]“will“bGe“the“in¸ãtersectionŽ¡pGoin¸ãts–Ücof“the“ÂLineŽ‘ I±lŽ‘(æ«with“·Ž‘ ÜdÏthisŽ‘È«,‘>&and“±vŽ›  «[2Ž‘]“and“±vŽ˜«[3Ž‘]“the“inš¸ãtersection“pGoin˜ts“of“±lŽ‘ ç«and“±rŽ‘ ¦w«,‘>&if“they“exist.‘ ðIfŽ¡an•¸ãy›Эin“tersection˜pGoin“t˜do•Gesn't˜exist,‘ïƒÝINVALID_POINTŽ‘L†q«will˜b“e˜stored˜in˜the˜corresp“onding˜elemen¸ãt˜of˜±vŽ‘ Ö«as˜aŽ¡placeholder.‘qÇ[¬LDF‘T2003.06.29.«]ŽŽ¡‘ The–Ölv‘ÿqÇalues“in“±vŽ‘ -á•«proš¸ãvide“information“abGout“the“relativ˜e“pGositions“of“the“ÏPolygonsŽ‘*å§«,–ïÎe.g.,“whether–Ölthey“touc˜h,Ž¡whether–EÇlies“within“the“pGerimeter“of“the“other,›Häetc.‘l˜Ho•¸ãw“ev“er,˜it's–EÇnot“pGossible“to“include“this“information“inŽ¡the–ϸreturn“v‘ÿqÇalue,‘îQsince“the“latter“is“merely“a“Âv®9ectorŽ‘#z·hÂP•®9oin“tŽ‘šH·i«.‘àðThe“routine“bGeloš¸ãw“ma˜y“need“to“bGe“put“in˜toŽ¡another–ýbfunction“in“order“to“use“this“information.‘iíIt“ma¸ãy“bšGe“of“imp˜ortance“in“breaking“up“ÏPolygonsŽ‘0 ÿ«andŽ¡ÂSolidsŽ‘!\h«for–UUan“impro•¸ãv“ed–UUsurface“hiding“routine.‘qÇ[¬LDF‘T2003.06.29.«]ŽŽ©·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­976“·i‘Ç«+·Ž¡‘ -ÂelseŽ‘!Øà·fŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"Non-coplanar,È Ýnon-pŽ‘kÆÜarallel.\n"Ž’¦ #«;ަ‘ÂLineŽ‘-­Ú±lŽ‘3£,«=‘ÇÏplŽ‘ ý#±:Ïinterse‘ÿ}'ction‘‰ffŽ‘®lineŽ‘Gƒ¦«(Ïr‘‰ffŽ‘®plŽ‘“«);Ž¡‘Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘edðÏbppŽ‘x"ñ«=‘ÇÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘TS÷«(±lŽ–.::Ïp‘ÿ}'ositionŽ‘#DW±;‘ª¨«(±lŽ“:Ïp‘ÿ}'ositionŽ‘%}7«+‘8à±lŽ‘g:Ïdir–ÿ}'e“ctionŽ‘&øñ«));ަ‘±vŽ‘4¿:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÏbppŽ‘öé±:Ï rstŽ‘µª±:ÏptŽ‘ ä«);Ž¡‘ÂifŽ‘´ú«(ÏbppŽ‘öé±:Ï rstŽ‘µª±:ÏptŽ‘ «µ·‘ÇÏbppŽ‘¾±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ ä«)‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"bpp.first.ptÈ ÝandÈ ÝbpŽ‘kÆÜp.second.ptÈ ÝareÈ ÝequaŽ’ÔÆ lÈ ÝforÈ Ý*this.\n"Ž’$ Û«;Ž¡‘±vŽ‘#4À:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÝINVALID_POINTŽ‘DÆA«);Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá±vŽ‘1 ž:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÏbppŽ‘öé±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ ä«);Ž¡‘ÏbppŽ‘&¾«=‘DZrŽ‘‘,:Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘QŒß«(±lŽ–.::Ïp‘ÿ}'ositionŽ‘#DW±;‘ª¨«(±lŽ“:Ïp‘ÿ}'ositionŽ‘%}7«+‘8à±lŽ‘g:Ïdir–ÿ}'e“ctionŽ‘&øñ«));Ž¡‘±vŽ‘4¿:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÏbppŽ‘öé±:Ï rstŽ‘µª±:ÏptŽ‘ ä«);Ž¡‘ÂifŽ‘´ú«(ÏbppŽ‘öé±:Ï rstŽ‘µª±:ÏptŽ‘ «µ·‘ÇÏbppŽ‘¾±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ ä«)‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"bpp.first.ptÈ ÝandÈ ÝbpŽ‘kÆÜp.second.ptÈ ÝareÈ ÝequaŽ’ÔÆ lÈ ÝforÈ Ýr.\n"Ž’ ç«;Ž¡‘±vŽ‘#4À:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÝINVALID_POINTŽ‘DÆA«);Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá±vŽ‘1 ž:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÏbppŽ‘öé±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ ä«);Ž¡‘ÂifŽ‘Ln«(·:«(±vŽ‘4½«[0Ž›]–Ç·6«=“ÝINVALID_POINTŽ‘Hõ#·_‘gʱvŽ‘œ‡«[1Ž˜]“·6«=“ÝINVALID_POINTŽ‘Hõ#·_‘gʱvŽ‘œ‡«[2Ž˜]“·6«=“ÝINVALID_POINTŽ‘Hõ#·_‘gʱvŽ‘œ‡«[3Ž˜]“·6«=“ÝINVALID_POINTŽ‘GY«))Ž¡‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)Ž¡‘(Ïc‘ÿ}'outŽ‘>U7·‘ûüÝ"NoÈ ÝintersectionÈ ÝpoiŽ‘kûÀntsÈ Ýfound.È Ý"Ž’³½ý·‘ûüÝ"ReturningÈ ÝemptyÈ ÝvecŽ‘kûÀtor\n\n"Ž’¾=÷·Ž¡‘<Ï ushŽ‘Q¹«;Ž¡‘±vŽ‘#4À:Ïcle‘ÿ}'arŽ‘(Ù«(‘ª¨);Ž¡‘ÂreturnŽ‘Aæ½±vŽ‘Gz«;Ž¡‘·gަ‘Âb•QÇo“olu½‰™šs4Ž‘ÔwrealŽ‘E@ƒÏbrŽ‘O§ö«[4Ž‘];ަ‘ÂifŽ‘´ú«(·:«(±vŽ‘4½«[2Ž›]–Ç·“ÝINVALID_POINTŽ‘IÆ9·_‘8à±vŽ‘m«[3Ž˜]“·“ÝINVALID_POINTŽ‘GY«))‘·fŽ¡‘ÂifŽ‘)´û«(±vŽ‘4½«[0Ž›]–Ç·6«=“ÝINVALID_POINTŽ‘GY«)‘ÏbrŽ‘gs«[0Ž˜]“=“±vŽ‘ûÕ«[0Ž˜]±:Ïis‘‰ffŽ–®on‘‰ffŽ“se‘ÿ}'gmentŽ‘=5O«(±vŽ‘4½«[2Ž˜]±;‘ª¨vŽ‘ße«[3Ž˜]);Ž¡‘ÂelseŽ‘5Øâ·fŽ¡‘(ÏbrŽ‘2gw«[0Ž‘]±:Ï rstŽ‘|«=‘ÇÏfalseŽ‘v\«;Ž¡‘(ÏbrŽ‘2gw«[0Ž‘]±:Ïse–ÿ}'c“ondŽ‘ nß«=‘Ç0Ž‘Ç;Ž¡‘·gŽ¡‘ÂifŽ‘)´û«(±vŽ‘4½«[1Ž›]–Ç·6«=“ÝINVALID_POINTŽ‘GY«)‘ÏbrŽ‘gs«[1Ž˜]“=“±vŽ‘ûÕ«[1Ž˜]±:Ïis‘‰ffŽ–®on‘‰ffŽ“se‘ÿ}'gmentŽ‘=5O«(±vŽ‘4½«[2Ž˜]±;‘ª¨vŽ‘ße«[3Ž˜]);Ž¡‘ÂelseŽ‘5Øâ·fŽ¡‘(ÏbrŽ‘2gw«[1Ž‘]±:Ï rstŽ‘|«=‘ÇÏfalseŽ‘v\«;Ž¡‘(ÏbrŽ‘2gw«[1Ž‘]±:Ïse–ÿ}'c“ondŽ‘ nß«=‘Ç0Ž‘Ç;Ž¡‘·gŽ¡‘gŽ¡‘ÂifŽ‘´ú«(·:«(±vŽ‘4½«[0Ž›]–Ç·“ÝINVALID_POINTŽ‘IÆ9·_‘8à±vŽ‘m«[1Ž˜]“·“ÝINVALID_POINTŽ‘GY«))‘·fŽ¡‘ÂifŽ‘)´û«(±vŽ‘4½«[2Ž›]–Ç·6«=“ÝINVALID_POINTŽ‘GY«)‘ÏbrŽ‘gs«[2Ž˜]“=“±vŽ‘ûÕ«[2Ž˜]±:Ïis‘‰ffŽ–®on‘‰ffŽ“se‘ÿ}'gmentŽ‘=5O«(±vŽ‘4½«[0Ž˜]±;‘ª¨vŽ‘ße«[1Ž˜]);ŽŽŽŒ‹th Šn ý‘ì·x«996›­3DLDFPRÃŽG’¸iêNON-P‘ÿJªARALLEL,–ÕXNON-COPLANAR“CASE˜«287Ž €n ý•@P‘ÂelseŽ‘5Øâ·fޤ ‘(ÏbrŽ‘2gw«[2Ž‘]±:Ï rstŽ‘|«=‘ÇÏfalseŽ‘v\«;Ž¡‘(ÏbrŽ‘2gw«[2Ž‘]±:Ïse–ÿ}'c“ondŽ‘ nß«=‘Ç0Ž‘Ç;Ž¡‘·gŽ¡‘ÂifŽ‘)´û«(±vŽ‘4½«[3Ž›]–Ç·6«=“ÝINVALID_POINTŽ‘GY«)‘ÏbrŽ‘gs«[3Ž˜]“=“±vŽ‘ûÕ«[3Ž˜]±:Ïis‘‰ffŽ–®on‘‰ffŽ“se‘ÿ}'gmentŽ‘=5O«(±vŽ‘4½«[0Ž˜]±;‘ª¨vŽ‘ße«[1Ž˜]);Ž¡‘ÂelseŽ‘5Øâ·fŽ¡‘(ÏbrŽ‘2gw«[3Ž‘]±:Ï rstŽ‘|«=‘ÇÏfalseŽ‘v\«;Ž¡‘(ÏbrŽ‘2gw«[3Ž‘]±:Ïse–ÿ}'c“ondŽ‘ nß«=‘Ç0Ž‘Ç;Ž¡‘·gŽ¡‘gŽ¡‘ÂifŽ‘´ú«(ÏbrŽ‘ +á•«proš¸ãvide“information“abGout“the“relativ˜e“pGositions“of“the“ÏPolygonsŽ‘*å§«,–ïÎe.g.,“whether–Ölthey“touc˜h,Ž¡whether–EÇlies“within“the“pGerimeter“of“the“other,›Häetc.‘l˜Ho•¸ãw“ev“er,˜it's–EÇnot“pGossible“to“include“this“information“inŽ¡the–ϸreturn“v‘ÿqÇalue,‘îQsince“the“latter“is“merely“a“Âv®9ectorŽ‘#z·hÂP•®9oin“tŽ‘šH·i«.‘àðThe“routine“bGeloš¸ãw“ma˜y“need“to“bGe“put“in˜toŽ¡another–ýbfunction“in“order“to“use“this“information.‘iíIt“ma¸ãy“bšGe“of“imp˜ortance“in“breaking“up“ÏPolygonsŽ‘0 ÿ«andŽ¡ÂSolidsŽ‘!\h«for–UUan“impro•¸ãv“ed–UUsurface“hiding“routine.‘qÇ[¬LDF‘T2003.06.29.«]ŽŽ©·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­979“·i‘Ç«+·Ž¡‘ +ÂelseŽ‘!Øà·fŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"Non-coplanar,È Ýnon-pŽ‘kÆÜarallel.\n"Ž’¦ #«;ަ‘ÂLineŽ‘-­Ú±lŽ‘3£,«=‘ÇÏplŽ‘ ý#±:Ïinterse‘ÿ}'ction‘‰ffŽ‘®lineŽ‘Gƒ¦«(Ïr‘‰ffŽ‘®plŽ‘“«);Ž¡‘Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘edðÏbppŽ‘x"ñ«=‘ÇÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘TS÷«(±lŽ–.::Ïp‘ÿ}'ositionŽ‘#DW±;‘ª¨«(±lŽ“:Ïp‘ÿ}'ositionŽ‘%}7«+‘8à±lŽ‘g:Ïdir–ÿ}'e“ctionŽ‘&øñ«));ަ‘±vŽ‘4¿:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÏbppŽ‘öé±:Ï rstŽ‘µª±:ÏptŽ‘ ä«);Ž¡‘ÂifŽ‘´ú«(ÏbppŽ‘öé±:Ï rstŽ‘µª±:ÏptŽ‘ «µ·‘ÇÏbppŽ‘¾±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ ä«)‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"bpp.first.ptÈ ÝandÈ ÝbpŽ‘kÆÜp.second.ptÈ ÝareÈ ÝequaŽ’ÔÆ lÈ ÝforÈ Ý*this.\n"Ž’$ Û«;Ž¡‘±vŽ‘#4À:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÝINVALID_POINTŽ‘DÆA«);Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá±vŽ‘1 ž:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÏbppŽ‘öé±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ ä«);Ž¡‘ÏbppŽ‘&¾«=‘DZrŽ‘‘,:Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘QŒß«(±lŽ–.::Ïp‘ÿ}'ositionŽ‘#DW±;‘ª¨«(±lŽ“:Ïp‘ÿ}'ositionŽ‘%}7«+‘8à±lŽ‘g:Ïdir–ÿ}'e“ctionŽ‘&øñ«));Ž¡‘±vŽ‘4¿:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÏbppŽ‘öé±:Ï rstŽ‘µª±:ÏptŽ‘ ä«);Ž¡‘ÂifŽ‘´ú«(ÏbppŽ‘öé±:Ï rstŽ‘µª±:ÏptŽ‘ «µ·‘ÇÏbppŽ‘¾±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ ä«)‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"bpp.first.ptÈ ÝandÈ ÝbpŽ‘kÆÜp.second.ptÈ ÝareÈ ÝequaŽ’ÔÆ lÈ ÝforÈ Ýr.\n"Ž’ ç«;Ž¡‘±vŽ‘#4À:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÝINVALID_POINTŽ‘DÆA«);Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá±vŽ‘1 ž:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÏbppŽ‘öé±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ ä«);Ž¡‘ÂifŽ‘Ln«(·:«(±vŽ‘4½«[0Ž›]–Ç·6«=“ÝINVALID_POINTŽ‘Hõ#·_‘gʱvŽ‘œ‡«[1Ž˜]“·6«=“ÝINVALID_POINTŽ‘Hõ#·_‘gʱvŽ‘œ‡«[2Ž˜]“·6«=“ÝINVALID_POINTŽ‘Hõ#·_‘gʱvŽ‘œ‡«[3Ž˜]“·6«=“ÝINVALID_POINTŽ‘GY«))Ž¡‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)Ž¡‘(Ïc‘ÿ}'outŽ‘>U7·‘ûüÝ"NoÈ ÝintersectionÈ ÝpoiŽ‘kûÀntsÈ Ýfound.È Ý"Ž’³½ý·‘ûüÝ"ReturningÈ ÝemptyÈ ÝvecŽ‘kûÀtor\n\n"Ž’¾=÷·Ž¡‘<Ï 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«;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(ÏbrŽ‘ gs«[2Ž–]±:Ï rstŽ‘^‘8àÏbrŽ‘  S«[3Ž“]±:Ï rstŽ‘µª«)‘·fŽ¡‘ÂifŽ‘+qB«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘·‘«‹Ý"TheÈ ÝintersectionÈ ÝofŽ‘n«OÈ ÝrÈ ÝwithÈ ÝlÈ ÝliesÈ Ýwithiޒ׫nÈ Ý"Ž’íœý·Ž¡‘<Ý"theÈ ÝintersectionÈ ÝofŽ’¤ÿÊÈ Ý*thisÈ ÝwithÈ Ýl.\n"Ž’þÅÿ«;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(ÏbrŽ‘ gs«[0Ž–]±:Ï rstŽ›_‘8àÏbrŽ‘  S«[1Ž“]±:Ï rstŽ˜·_‘8àÏbrŽ‘  S«[2Ž“]±:Ï rstŽ˜·_‘8àÏbrŽ‘  S«[3Ž“]±:Ï rstŽ‘µª«)‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"TheÈ ÝintersectionsÈ ÝoŽ‘kÆÜfÈ Ý*thisÈ ÝandÈ ÝrÈ ÝwithÈ ÝlŽ’ÔÆ È ÝoverlapÈ Ýpartially.\Ž’=Ædn"Ž’HÌÆ«;Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"TheÈ ÝintersectionsÈ ÝoŽ‘kÆÜfÈ Ý*thisÈ ÝandÈ ÝrÈ ÝwithÈ ÝlŽ’ÔÆ È Ýdon'tÈ ÝoverlapÈ ÝatÈ ÝalŽ’=Ædl.\n"Ž’XŒ½«;Ž¡‘·gŽ¡‘ÂreturnŽ‘7æ¼±vŽ‘=y«;Ž¡‘ ·g‘±=·‘ÿýÂelseŽ‘ØÜ«.‘qÇEnd–UUof“non-parallel,“non-coplanar“case.‘o·±=Ž¡‘ -·gŽ©Â997.‘ üT‘ÿ -«ransformations.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +·gŽ©Â1000.‘ üT‘ÿ +«ransformations.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.08.07.«]Ž‘Y3Copied–€©the“en¸ãtire“\T‘ÿ*ªransformations"“section“from“Èellipses.web“«and“made“the“appro-Ž¡priate‘UUc¸ãhanges.Ž¡‘ [¬LDF‘T2003.04.27.«]Ž‘YReThe–Ÿprevious“commenš¸ãt“w˜as“out-of-date.‘PDI‘Ÿlma˜y“ha˜v˜e“remo˜v˜ed“the“transformation“func-Ž¡tions.‘PëA•¸ãt›Ÿ¶an“y˜rate,‘²Othere˜w“ere˜only˜a˜couple˜here.‘PëI‘Ÿ£ha“v“e˜no“w˜copied˜the˜rest˜of˜them˜from˜Èellipses.webŽ¡«and–UUmade“the“appropriate“c¸ãhanges.Ž¡‘ [¬LDF‘T2003.07.18.«]Ž‘Y;[¬LDF‘T2003.07.18.«]Ž’¨uMo•¸ãv“ed–UU\T‘ÿ*ªransformations"“section,“includingŽ¡ÂopQÇeratorŽ‘+–µ·«=ŽŽŽ‘8]Ô(ÂconstŽ‘T‘ÿ -«ransformŽ‘VØl«&Ž‘^ŸŠ)–ÇÑfrom“ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘IV«to“ÂP®9olygonŽ‘,Ì¿«.‘É:Also“remo•¸ãv“ed–ÇÑthe“ÂRectangleŽ‘9Ï7«v¸ãer-Ž¡sions–UUin“Èrectangs.web«.‘qÇThe“ÂP®9olygonŽ‘/¯˜«vš¸ãersions“are“no˜w“inherited“b˜y“ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘H)^«and“ÂRectangleŽ‘5”ê«.ŽŸŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦998.‘ üApplying–ÕTa“transformation.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.11.06.«]Ž‘ZÛNoš¸ãw–Mõcalling“ÂP®9athŽ‘ß]«::Ž‘$m›ÂopQÇeratorŽ‘PP·«=ŽŽŽ‘\Ëo(‘ª¨)“instead“of“loGoping“through“Ïp‘ÿ}'ointsŽ‘rŠ«.‘[¦This“w˜a˜y‘ÿ*ª,‘Œif“IŽ¡cš¸ãhange‘UUÂP®9athŽ‘潫::Ž‘#tûÂopQÇeratorŽ‘O °·«=ŽŽŽ‘[ÒÏ(‘ª¨),–UUthe“c˜hange“will“automatically“bGe“re ected“here.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂP®9olygonŽ‘/¯˜«functions‘@­975“·i‘Ç«+·ŽŸ ‘ +«ransformŽ‘VØl«&Ž‘^ŸŠ)–ÇÑfrom“ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘IV«to“ÂP®9olygonŽ‘,Ì¿«.‘É:Also“remo•¸ãv“ed–ÇÑthe“ÂRectangleŽ‘9Ï7«v¸ãer-Ž¡sions–UUin“Èrectangs.web«.‘qÇThe“ÂP®9olygonŽ‘/¯˜«vš¸ãersions“are“no˜w“inherited“b˜y“ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘H)^«and“ÂRectangleŽ‘5”ê«.ŽŸŸüÈ„`ÕÁGŽŽ¦Â1001.‘ üApplying–ÕTa“transformation.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.11.06.«]Ž‘ZÛNoš¸ãw–Mõcalling“ÂP®9athŽ‘ß]«::Ž‘$m›ÂopQÇeratorŽ‘PP·«=ŽŽŽ‘\Ëo(‘ª¨)“instead“of“loGoping“through“Ïp‘ÿ}'ointsŽ‘rŠ«.‘[¦This“w˜a˜y‘ÿ*ª,‘Œif“IŽ¡cš¸ãhange‘UUÂP®9athŽ‘潫::Ž‘#tûÂopQÇeratorŽ‘O °·«=ŽŽŽ‘[ÒÏ(‘ª¨),–UUthe“c˜hange“will“automatically“bGe“re 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-«ransformŽ‘gV¦Ïr‘ÿ}'otateŽ’Åä«(ÂconstŽ‘*¢realŽ‘4ÝбxŽ‘:”ì;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±yŽ‘>’ˆ«=‘Ç0Ž–Ç±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±zŽ‘>f®«=‘Ç0Ž“);ŽŸÂ1001.ަ·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­976“·i‘Ç«+·Ž¡‘ +«ransformŽ‘gV¦Ïr‘ÿ}'otateŽ’Åä«(ÂconstŽ‘*¢realŽ‘4ÝбxŽ‘:”ì;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±yŽ‘>’ˆ«=‘Ç0Ž–Ç±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±zŽ‘>f®«=‘Ç0Ž“);ŽŸÂ1004.ަ·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­979“·i‘Ç«+·Ž¡‘ ÂT‘ÿ «ransformŽ‘AÈÓP®9olygonŽ‘kÍÅ«::‘Ïr‘ÿ}'otateŽ‘oB«(ÂconstŽ‘*¢realŽ‘4ÝбxŽ‘:”ì;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±yŽ‘;Ëp;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±zŽ‘;Ÿ–«)Ž¡‘ ·fŽ¡‘ÂT‘ÿ «ransformŽ‘KÈÔ±tŽ‘OeF«;ަ‘±tŽ‘œt:Ïr‘ÿ}'otateŽ‘o>«(±xŽ‘·;‘ª¨yŽ‘í ;‘ª¨zŽ‘ÁÆ«);Ž¡‘ÂreturnŽ‘7漫(·Ž‘ÏthisŽ‘²Ï·«=ŽŽ‘(A±tŽ‘+Ýx«);Ž¡‘ -·gޤÂ1002.‘ üRotate–ÕTaround“an“arbitrary“axis.Ž¡1003.‘ üP•®9oin“t‘ÕTargumen“ts.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ -«[¬LDF‘T2003.05.02.«]Ž‘YËSChanged–mname“of“this“function“from“Ïr–ÿ}'otate‘‰ffŽ‘®ar“oundŽ‘@„ü«(›ª®)“to“Ïr‘ÿ}'otateŽ‘‡««(˜).‘»This“function“no¸ãwŽ¡o•¸ãv“erloads‘UUÏr‘ÿ}'otateޑē«(‘ª®)–UUwith“three“ÂrealŽ‘ƒ«argumen¸ãts.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP®9olygonŽ‘/¯˜«functions‘@­975“·i‘Ç«+·Ž¡‘ +·gޤÂ1005.‘ üRotate–ÕTaround“an“arbitrary“axis.Ž¡1006.‘ üP•®9oin“t‘ÕTargumen“ts.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¤ ‘ +«[¬LDF‘T2003.05.02.«]Ž‘YËSChanged–mname“of“this“function“from“Ïr–ÿ}'otate‘‰ffŽ‘®ar“oundŽ‘@„ü«(›ª®)“to“Ïr‘ÿ}'otateŽ‘‡««(˜).‘»This“function“no¸ãwŽ¡o•¸ãv“erloads‘UUÏr‘ÿ}'otateޑē«(‘ª®)–UUwith“three“ÂrealŽ‘ƒ«argumen¸ãts.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP®9olygonŽ‘/¯˜«functions‘@­978“·i‘Ç«+·Ž¡‘ ÂvirtualŽ‘/ÔT‘ÿ -«ransformŽ‘gV¦Ïr‘ÿ}'otateŽ’Åä«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]Ïp0Ž‘Pø±;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒÏp1Ž‘R¢Å±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏangleŽ‘Qã«=‘Ç180ŽŽ‘Ç);ŽŸÂ1004.ަ·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­976“·i‘Ç«+·Ž¡‘ +«ransformŽ‘gV¦Ïr‘ÿ}'otateŽ’Åä«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]Ïp0Ž‘Pø±;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒÏp1Ž‘R¢Å±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏangleŽ‘Qã«=‘Ç180ŽŽ‘Ç);ŽŸÂ1007.ަ·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­979“·i‘Ç«+·Ž¡‘ ÂT‘ÿ «ransformŽ‘AÈÓP®9olygonŽ‘kÍÅ«::‘Ïr‘ÿ}'otateŽ‘oB«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]Ïp0Ž‘Pø±;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒÏp1Ž‘R¢Å±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏangleŽ‘NHË«)Ž¡‘ ·fŽ¡‘ÂT‘ÿ «ransformŽ‘KÈÔ±tŽ‘OeF«;ަ‘±tŽ‘œt:Ïr‘ÿ}'otateŽ‘o>«(Ïp0Ž‘ À±;‘ª¨Ïp1Ž‘ Áh±;‘ª¨ÏangleŽ‘jû«);Ž¡‘ÂreturnŽ‘7漫(·Ž‘ÏthisŽ‘²Ï·«=ŽŽ‘(A±tŽ‘+Ýx«);Ž¡‘ -·gŽŸÂ1005.‘ üP•®9ath‘ÕTargumen“t.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.05.02.«]Ž‘YËSChanged–mname“of“this“function“from“Ïr–ÿ}'otate‘‰ffŽ‘®ar“oundŽ‘@„ü«(›ª®)“to“Ïr‘ÿ}'otateŽ‘‡««(˜).‘»This“function“no¸ãwŽ¡o•¸ãv“erloads‘UUÏr‘ÿ}'otateޑē«(‘ª®)–UUwith“three“ÂrealŽ‘ƒ«argumen¸ãts.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂP®9olygonŽ‘/¯˜«functions‘@­975“·i‘Ç«+·Ž¡‘ +·gŽŸÂ1008.‘ üP•®9ath‘ÕTargumen“t.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.05.02.«]Ž‘YËSChanged–mname“of“this“function“from“Ïr–ÿ}'otate‘‰ffŽ‘®ar“oundŽ‘@„ü«(›ª®)“to“Ïr‘ÿ}'otateŽ‘‡««(˜).‘»This“function“no¸ãwŽ¡o•¸ãv“erloads‘UUÏr‘ÿ}'otateޑē«(‘ª®)–UUwith“three“ÂrealŽ‘ƒ«argumen¸ãts.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂP®9olygonŽ‘/¯˜«functions‘@­978“·i‘Ç«+·Ž¡‘ ÂvirtualŽ‘/ÔT‘ÿ -«ransformŽ‘gV¦Ïr‘ÿ}'otateŽ’Åä«(ÂconstŽ‘*¢P®9athŽ‘:[«&Ž‘AØy±pŽ‘Fày;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏangleŽ‘Qã«=‘Ç180ŽŽ‘Ç);ŽŽŽŒ‹!–Á Šn ý‘ì·x«1006‘­3DLDFPRšÃŽG’Í–ÂP–ÿ -«A“TH‘ÕX­AR˜GUMENT‘«289Ž €n ý•@PÂ1006.Ž©·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­976“·i‘Ç«+·ޤ ‘ +«ransformŽ‘gV¦Ïr‘ÿ}'otateŽ’Åä«(ÂconstŽ‘*¢P®9athŽ‘:[«&Ž‘AØy±pŽ‘Fày;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏangleŽ‘Qã«=‘Ç180ŽŽ‘Ç);ŽŽŽŒ‹$’á Šn ý‘ì«292›ÂP–ÿ +«A“TH‘ÕX­AR•ÃŽGUMENT’Í–3DLDFPR“G˜·x«1009Ž €n ý•@PÂ1009.Ž©·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­979“·i‘Ç«+·ޤ ‘ ÂT‘ÿ «ransformŽ‘AÈÓP®9olygonŽ‘kÍÅ«::‘Ïr‘ÿ}'otateŽ‘oB«(ÂconstŽ‘*¢P®9athŽ‘:[«&Ž‘AØy±pŽ‘Fày;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏangleŽ‘NHË«)Ž¡‘ ·fŽ¡‘ÂifŽ‘´ú«(·:±pŽ‘:Ïis‘‰ffŽ‘®line‘ÿ}'arŽ‘%}«(‘ª¨))‘·fŽ¡‘Ïc‘ÿ}'errŽ‘7ã··‘.Ý"ERROR!È ÝInÈ ÝEllipse::Ž‘p-Òrotate(Path,È Ýreal).\Ž’Ù-–n"Ž’ëb·Ž¡‘2Ý"PathÈ ÝisÈ ÝnotÈ ÝaÈ Ýline.Ž’šÿÉÈ ÝReturningÈ ÝINVALID_Ž’ÿTRANSFORM.\n\n"Ž’SEÈ«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_TRANSFORMŽ’›¬ò«;Ž¡‘·gŽ¡‘ÂreturnŽ‘7æ¼Ïr‘ÿ}'otateŽ‘RUú«(±pŽ‘:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(0Ž‘)±;‘ª¨pŽ‘²¨:Ïget‘‰ffŽ–®last‘‰ffŽ“p‘ÿ}'ointŽ‘:$>«(–ª¨)±;“ÏangleŽ‘jû«);Ž¡‘ -·gŽŸÂ1007.‘ üScale.ަ·h–ª¨«Declare‘UUÂP®9olygonŽ‘/¯˜«functions‘@­975“·i‘Ç«+·Ž¡‘ +·gŽŸÂ1010.‘ üScale.ަ·h–ª¨«Declare‘UUÂP®9olygonŽ‘/¯˜«functions‘@­978“·i‘Ç«+·Ž¡‘ ÂvirtualŽ‘/ÔT‘ÿ -«ransformŽ‘gV¦Ïsc‘ÿ}'aleŽ‘} ˜«(ÂrealŽ‘³.±xŽ‘jJ;‘ª¨ÂrealŽ‘]Ö±yŽ‘ gæ«=‘Ç1Ž–Ç±;‘ª¨ÂrealŽ‘]Ö±zŽ‘ < «=‘Ç1Ž“);ŽŸÂ1008.ަ·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­976“·i‘Ç«+·Ž¡‘ +«ransformŽ‘gV¦Ïsc‘ÿ}'aleŽ‘} ˜«(ÂrealŽ‘³.±xŽ‘jJ;‘ª¨ÂrealŽ‘]Ö±yŽ‘ gæ«=‘Ç1Ž–Ç±;‘ª¨ÂrealŽ‘]Ö±zŽ‘ < «=‘Ç1Ž“);ŽŸÂ1011.ަ·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­979“·i‘Ç«+·Ž¡‘ ÂT‘ÿ «ransformŽ‘AÈÓP®9olygonŽ‘kÍÅ«::‘Ïsc‘ÿ}'aleŽ‘´ö«(ÂrealŽ‘³.±xŽ‘jJ;‘ª¨ÂrealŽ‘]Ö±yŽ‘ Î;‘ª¨ÂrealŽ‘]Ö±zŽ‘tô«)Ž¡‘ ·fŽ¡‘ÂT‘ÿ «ransformŽ‘KÈÔ±tŽ‘OeF«;ަ‘±tŽ‘œt:Ïsc‘ÿ}'aleŽ‘´ò«(±xŽ‘·;‘ª¨yŽ‘í ;‘ª¨zŽ‘ÁÆ«);Ž¡‘ÂreturnŽ‘7漫(·Ž‘ÏthisŽ‘²Ï·«=ŽŽ‘(A±tŽ‘+Ýx«);Ž¡‘ -·gŽŸÂ1009.‘ üShear.ަ·h–ª¨«Declare‘UUÂP®9olygonŽ‘/¯˜«functions‘@­975“·i‘Ç«+·Ž¡‘ +·gŽŸÂ1012.‘ üShear.ަ·h–ª¨«Declare‘UUÂP®9olygonŽ‘/¯˜«functions‘@­978“·i‘Ç«+·Ž¡‘ ÂvirtualŽ‘/ÔT‘ÿ -«ransformŽ‘gV¦Ïshe‘ÿ}'arŽ‘Šà«(ÂrealŽ‘³.ÏxyŽ‘!—±;‘ª¨ÂrealŽ‘]ÖÏxzŽ‘%œÀ«=‘Ç0Ž–Ç±;‘ª¨ÂrealŽ‘]ÖÏyxŽ‘&Zœ«=‘Ç0Ž“±;‘ª¨ÂrealŽ‘]ÖÏyzŽ‘%Ô6«=‘Ç0Ž“±;‘ª¨ÂrealŽ‘]ÖÏzxŽ‘%–Y«=‘Ç0Ž“±;‘ª¨ÂrealŽ‘]ÖÏzyŽ‘%|«=‘Ç0Ž“);ŽŸÂ1010.ަ·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­976“·i‘Ç«+·Ž¡‘ +«ransformŽ‘gV¦Ïshe‘ÿ}'arŽ‘Šà«(ÂrealŽ‘³.ÏxyŽ‘!—±;‘ª¨ÂrealŽ‘]ÖÏxzŽ‘%œÀ«=‘Ç0Ž–Ç±;‘ª¨ÂrealŽ‘]ÖÏyxŽ‘&Zœ«=‘Ç0Ž“±;‘ª¨ÂrealŽ‘]ÖÏyzŽ‘%Ô6«=‘Ç0Ž“±;‘ª¨ÂrealŽ‘]ÖÏzxŽ‘%–Y«=‘Ç0Ž“±;‘ª¨ÂrealŽ‘]ÖÏzyŽ‘%|«=‘Ç0Ž“);ŽŸÂ1013.ަ·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­979“·i‘Ç«+·Ž¡‘ ÂT‘ÿ «ransformŽ‘AÈÓP®9olygonŽ‘kÍÅ«::‘Ïshe‘ÿ}'arŽ‘4>«(ÂrealŽ‘³.ÏxyŽ‘!—±;‘ª¨ÂrealŽ‘]ÖÏxzŽ‘"Õ¨±;‘ª¨ÂrealŽ‘]ÖÏyxŽ‘#“„±;‘ª¨ÂrealŽ‘]ÖÏyzŽ‘# ±;‘ª¨ÂrealŽ‘]ÖÏzxŽ‘"ÏA±;‘ª¨ÂrealŽ‘]ÖÏzyŽ‘"´ð«)Ž¡‘ ·fŽ¡‘ÂT‘ÿ «ransformŽ‘KÈÔ±tŽ‘OeF«;ަ‘±tŽ‘œt:Ïshe‘ÿ}'arŽ‘4:«(ÏxyŽ‘ ãç±;‘ª¨ÏxzŽ‘ "z±;‘ª¨ÏyxŽ‘ àV±;‘ª¨ÏyzŽ‘ Yð±;‘ª¨ÏzxŽ‘ ±;‘ª¨ÏzyŽ‘ «);Ž¡‘ÂreturnŽ‘7漫(·Ž‘ÏthisŽ‘²Ï·«=ŽŽ‘(A±tŽ‘+Ýx«);Ž¡‘ -·gޤÂ1011.‘ üShift.Ž¡1012.‘ üreal‘ÕTargumen®9ts.ަ·h–ª¨«Declare‘UUÂP®9olygonŽ‘/¯˜«functions‘@­975“·i‘Ç«+·ŽŸ ‘ +·gޤÂ1014.‘ üShift.Ž¡1015.‘ üreal‘ÕTargumen®9ts.ަ·h–ª¨«Declare‘UUÂP®9olygonŽ‘/¯˜«functions‘@­978“·i‘Ç«+·ŽŸ ‘ ÂvirtualŽ‘/ÔT‘ÿ -«ransformŽ‘gV¦ÏshiftŽ‘{t#«(ÂrealŽ‘³.±xŽ‘jJ;‘ª¨ÂrealŽ‘]Ö±yŽ‘ gæ«=‘Ç0Ž–Ç±;‘ª¨ÂrealŽ‘]Ö±zŽ‘ < «=‘Ç0Ž“);ŽŽŽŒ‹"¢å Šn ý‘ì«290›ÂREAL‘ÕX­AR•ÃŽGUMENTS’í’3DLDFPR“G˜·x«1013Ž €n ý•@PÂ1013.Ž©·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­976“·i‘Ç«+·ޤ ‘ +«ransformŽ‘gV¦ÏshiftŽ‘{t#«(ÂrealŽ‘³.±xŽ‘jJ;‘ª¨ÂrealŽ‘]Ö±yŽ‘ gæ«=‘Ç0Ž–Ç±;‘ª¨ÂrealŽ‘]Ö±zŽ‘ < «=‘Ç0Ž“);ŽŽŽŒ‹%ž´ Šn ý‘ì·x«1016›­3DLDFPR•ÃŽG’í’ÂREAL‘ÕX­AR“GUMENTS˜«293Ž €n ý•@PÂ1016.Ž©·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­979“·i‘Ç«+·ޤ ‘ ÂT‘ÿ «ransformŽ‘AÈÓP®9olygonŽ‘kÍÅ«::‘ÏshiftŽ‘«(ÂrealŽ‘³.±xŽ‘jJ;‘ª¨ÂrealŽ‘]Ö±yŽ‘ Î;‘ª¨ÂrealŽ‘]Ö±zŽ‘tô«)Ž¡‘ ·fŽ¡‘ÂT‘ÿ «ransformŽ‘KÈÔ±tŽ‘OeF«;ަ‘±tŽ‘œt:ÏshiftŽ‘}«(±xŽ‘·;‘ª¨yŽ‘í ;‘ª¨zŽ‘ÁÆ«);Ž¡‘ÂreturnŽ‘7漫(·Ž‘ÏthisŽ‘²Ï·«=ŽŽ‘(A±tŽ‘+Ýx«);Ž¡‘ -·gŽŸÂ1014.‘ üP•®9oin“t‘ÕTargumen“t.ަ·h–ª¨«Declare‘UUÂP®9olygonŽ‘/¯˜«functions‘@­975“·i‘Ç«+·Ž¡‘ +·gŽŸÂ1017.‘ üP•®9oin“t‘ÕTargumen“t.ަ·h–ª¨«Declare‘UUÂP®9olygonŽ‘/¯˜«functions‘@­978“·i‘Ç«+·Ž¡‘ ÂvirtualŽ‘/ÔT‘ÿ -«ransformŽ‘gV¦ÏshiftŽ‘{t#«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«);ŽŸÂ1015.ަ·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­976“·i‘Ç«+·Ž¡‘ +«ransformŽ‘gV¦ÏshiftŽ‘{t#«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«);ŽŸÂ1018.ަ·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­979“·i‘Ç«+·Ž¡‘ ÂT‘ÿ «ransformŽ‘AÈÓP®9olygonŽ‘kÍÅ«::‘ÏshiftŽ‘«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«)Ž¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼ÏshiftŽ‘L9«(±pŽ‘:Ïget‘‰ffŽ‘®xŽ‘Žg«(–ª¨)±;“pŽ›²¨:Ïget‘‰ffŽ‘®yŽ‘t«(“)±;“pŽ˜:Ïget‘‰ffŽ‘®zŽ‘«(“));Ž¡‘ -·gޤÂ1016.‘ üShift‘ÕTtimes.Ž¡1017.‘ üreal‘ÕTargumen®9ts.ަ·h–ª¨«Declare‘UUÂP®9olygonŽ‘/¯˜«functions‘@­975“·i‘Ç«+·ŽŸ ‘ -ÂvirtualŽ‘/Ôv®9oidŽ‘H‹¬Ïshift‘‰ffŽ‘®timesŽ‘wwç«(ÂrealŽ‘³.±xŽ‘jJ;‘ª¨ÂrealŽ‘]Ö±yŽ‘ gæ«=‘Ç1Ž–Ç±;‘ª¨ÂrealŽ‘]Ö±zŽ‘ < «=‘Ç1Ž“);Ž¡Â1018.ަ·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­976“·i‘Ç«+·ޤ ‘ +·gޤÂ1019.‘ üShift‘ÕTtimes.Ž¡1020.‘ üreal‘ÕTargumen®9ts.ަ·h–ª¨«Declare‘UUÂP®9olygonŽ‘/¯˜«functions‘@­978“·i‘Ç«+·ŽŸ ‘ +ÂvirtualŽ‘/Ôv®9oidŽ‘H‹¬Ïshift‘‰ffŽ‘®timesŽ‘wwç«(ÂrealŽ‘³.±xŽ‘jJ;‘ª¨ÂrealŽ‘]Ö±yŽ‘ gæ«=‘Ç1Ž–Ç±;‘ª¨ÂrealŽ‘]Ö±zŽ‘ < «=‘Ç1Ž“);Ž¡Â1021.ަ·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­979“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙP®9olygonŽ‘MË«::‘Ïshift‘‰ffŽ‘®timesŽ‘/ì?«(ÂrealŽ‘³.±xŽ‘jJ;‘ª¨ÂrealŽ‘]Ö±yŽ‘ Î;‘ª¨ÂrealŽ‘]Ö±zŽ‘tô«)Ž¡‘ ·fŽ¡‘ÂP®9athŽ‘-‘j«::Ž‘4¨Ïshift‘‰ffŽ‘®timesŽ‘c ã«(±xŽ‘·;‘ª¨yŽ‘í ;‘ª¨zŽ‘ÁÆ«);Ž¡‘Ïc‘ÿ}'enterŽ‘0 ±:Ïshift‘‰ffŽ‘®timesŽ‘.ì;«(±xŽ‘·;‘ª¨yŽ‘í ;‘ª¨zŽ‘ÁÆ«);Ž¡‘ÂreturnŽ‘4‘g«;Ž¡‘ -·gŽŸÂ1019.‘ üP•®9oin“t‘ÕTargumen“t.ަ·h–ª¨«Declare‘UUÂP®9olygonŽ‘/¯˜«functions‘@­975“·i‘Ç«+·Ž¡‘ -ÂvirtualŽ‘/Ôv®9oidŽ‘H‹¬Ïshift‘‰ffŽ‘®timesŽ‘wwç«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«);ŽŽŽŒ‹#­{ Šn ý‘ì·x«1020›­3DLDFPR•ÃŽG’”µÂPOINT‘ÕX­AR“GUMENT˜«291Ž €n ý•@PÂ1020.Ž©·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­976“·i‘Ç«+·ޤ ‘ +·gŽŸÂ1022.‘ üP•®9oin“t‘ÕTargumen“t.ަ·h–ª¨«Declare‘UUÂP®9olygonŽ‘/¯˜«functions‘@­978“·i‘Ç«+·Ž¡‘ +ÂvirtualŽ‘/Ôv®9oidŽ‘H‹¬Ïshift‘‰ffŽ‘®timesŽ‘wwç«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«);ŽŽŽŒ‹&©F Šn ý‘ì«294›ÂPOINT‘ÕX­AR•ÃŽGUMENT’”µ3DLDFPR“G˜·x«1023Ž €n ý•@PÂ1023.Ž©·h–ª¨«De ne‘UUÂP®9olygonŽ‘/¯˜«functions‘@­979“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙP®9olygonŽ‘MË«::‘Ïshift‘‰ffŽ‘®timesŽ‘/ì?«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«)Ž¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïshift‘‰ffŽ‘®timesŽ‘fÒ÷«(±pŽ‘:Ïget‘‰ffŽ‘®xŽ‘Žg«(–ª¨)±;“pŽ›²¨:Ïget‘‰ffŽ‘®yŽ‘t«(“)±;“pŽ˜:Ïget‘‰ffŽ‘®zŽ‘«(“));Ž¡‘ -·gŽŸÂ1021.– üReg‘°¡‰ffs4Ž‘#ÕP®9olygon“(Èpolygons.webÂ).‘AÅy«[¬LDF‘T2003.04.15.«]Ž’Í³TO–UUDO:“It“will“bGe“necessary“toŽ¡supply‘Ÿ/ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘H½«with–Ÿ/a“complete“set“of“transformation“functions,‘±¦so“that“Ïc‘ÿ}'enterŽ‘#Gé«will“bGe“transformedŽ¡along–UUwith“the“ÂP•®9oin“tsŽ‘&Î.«pGoinš¸ãted“to“b˜y“the“pGoin˜ters“on“Ïp‘ÿ}'ointsŽ‘yê«.‘qÇSome“are“presen˜t“already‘ÿ*ª,“but“not“all.Ž¡‘ +·gŽŸÂ1024.– üReg‘°¡‰ffs4Ž‘#ÕP®9olygon“(Èpolygons.webÂ).‘AÅy«[¬LDF‘T2003.04.15.«]Ž’Í³TO–UUDO:“It“will“bGe“necessary“toŽ¡supply‘Ÿ/ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘H½«with–Ÿ/a“complete“set“of“transformation“functions,‘±¦so“that“Ïc‘ÿ}'enterŽ‘#Gé«will“bGe“transformedŽ¡along–UUwith“the“ÂP•®9oin“tsŽ‘&Î.«pGoinš¸ãted“to“b˜y“the“pGoin˜ters“on“Ïp‘ÿ}'ointsŽ‘yê«.‘qÇSome“are“presen˜t“already‘ÿ*ª,“but“not“all.Ž¡‘ [¬LDF‘T2003.04.15.«]Ž‘Y¹TO‘DO:–3Add“Ïin‘‰ffŽ‘®cir‘ÿ}'cleŽ‘(È|«(–ª®),‘2kÏout‘‰ffŽ‘®cir‘ÿ}'cleŽ‘.#«(“).‘„bAlign–3a“line“from“Ïc‘ÿ}'enterŽ‘$ñ«in“the“direction“of“aŽ¡normal–UUwith“the“y-axis.‘qÇUse“the“in•¸ãv“erse–UUof“the“ÂT‘ÿ «ransformŽ‘;'«to“transform“the“ÂCircleŽ‘!¸«.ަ‘ -ÂformatŽ‘3c(ÏR–ÿ}'e“g‘‰ffŽ‘®PolygonŽ‘rÊ'PolygonŽŽŸÂ1022.› üReg‘°¡‰ffs4Ž‘#ÕP®9olygon–ÕTclass“de nition.˜Regu½‰™šs4Ž‘ÔwP®9olygonŽ‘PT«is–UUderiv¸ãed“from“ÂP®9olygonŽ‘,ZC«.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +ÂformatŽ‘3c(ÏR–ÿ}'e“g‘‰ffŽ‘®PolygonŽ‘rÊ'PolygonŽŽŸÂ1025.› üReg‘°¡‰ffs4Ž‘#ÕP®9olygon–ÕTclass“de nition.˜Regu½‰™šs4Ž‘ÔwP®9olygonŽ‘PT«is–UUderiv¸ãed“from“ÂP®9olygonŽ‘,ZC«.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.04.15.«]Ž‘XÐChanged,›(fso–*that“ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘G¹«is“deriv¸ãed“from“ÂP®9athŽ‘®Ž«.‘_Previously‘ÿ*ª,˜it“wš¸ãas“deriv˜ed“fromŽ¡ÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘h÷˜«.Ž¡‘ [¬LDF‘T2003.04.27.«]Ž‘XÉWChanged‘qÂprotectedŽ‘6œz«data–qmem¸ãbšGers“to“Âpriv‘ÿ\rateŽ‘&¾ï«.‘\ÑThey“no“longer“need“to“b˜e“ÂprotectedŽ‘3† «,Ž¡bGecause‘UUÂRectangleŽ‘8ê?«is–UUno“longer“deriv¸ãed“from“ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘DÔ «.Ž¡‘ -[¬LDF‘T2003.06.06.«]Ž‘X#9Changed,›ž!so–pSthat“ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘F_Z«is“deriv¸ãed“from“ÂP®9olygonŽ‘+uA«,˜whicš¸ãh“I'v˜e“just“added“abGo˜v˜e.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«De ne‘UUÂclassŽ‘5¦Regu½‰™šs4Ž‘ÔwP®9olygonŽ‘cô^­1022“·i‘ÇŽ¡‘ +[¬LDF‘T2003.06.06.«]Ž‘X#9Changed,›ž!so–pSthat“ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘F_Z«is“deriv¸ãed“from“ÂP®9olygonŽ‘+uA«,˜whicš¸ãh“I'v˜e“just“added“abGo˜v˜e.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«De ne‘UUÂclassŽ‘5¦Regu½‰™šs4Ž‘ÔwP®9olygonŽ‘cô^­1025“·i‘ÇŽ¡‘ ÂclassŽ‘$àRRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘i´[«:‘qÇÂpublicŽ‘'ñP®9olygonŽ‘S_4·fŽ¡‘ÂrealŽ‘*³0Ïinternal‘‰ffŽ‘®angleŽ‘h?e«;Ž¡‘ÂrealŽ‘*³0Ïr‘ÿ}'adiusŽ‘F{S«;Ž¡‘ÂunsignedŽ‘D7shortŽ‘b³ÏsidesŽ‘xKE«;Ž¡‘Âb•QÇo“olŽ‘-¡hÏon‘‰ffŽ›®fr–ÿ}'e“e‘‰ffŽ˜stor“eŽ‘eFZ«;ަ‘ -ÂpublicŽ‘)=Ö«:‘·h–ª¨«Declare‘UUÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘H)^«functions‘@­1023“·iŽ¡‘ -g«;ŽŸ ­This–ÕXco‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.12.18.«]Ž‘XwMo•¸ãv“ed–`‘here.‘ 1With“the“DEC›`Scompiler“under“Compaq“T‘ÿ*ªru64“on“the“DEC˜Alpha“computer,Ž¡it›úßw•¸ãork“ed˜to˜ha“v“e˜the˜assignmen“t˜opGerators˜follo“wing˜the˜constructors.‘S With˜the˜GNU‘úȬC‘€Ÿÿ®+‘ÿ+ŽŽ‘Aÿ«compiler˜(GCC)Ž¡under–®.GNU/Linš¸ãux“on“the“In˜tel“i686“computer,‘Ädit“didn't.‘|RSee“ÂP®9athŽ‘?–«::Ž‘#ÍÔÂopQÇeratorŽ‘Od‰«=Ž‘W+§(‘ª¨)“in“Èpaths.web“«for“moreŽ¡information.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘H)^«functions‘@­1023“·i‘ÇŽ¡‘ -ÂconstŽ‘(*£Regu½‰™šs4Ž‘ÔwP®9olygonŽ‘lþ¬«&Ž‘tÅÊÂopQÇeratorŽ’ \«=Ž’¨#(ÂconstŽ‘*¢Regu½‰™šs4Ž‘ÔwP®9olygonŽ‘bþ««&Ž‘jÅɱpŽ‘oÍÉ«);ޤ ­See–ÕXalso“sections“1026,“1029,“1032,“1036,“1038,“1042,“1044,“1046,“1047,“1048,“1050,“and“1051.Ž¡This–ÕXco‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ -«[¬LDF‘T2003.08.27.«]Ž‘Xï„Revš¸ãersed–<žthe“order“of“the“initializations“follo˜wing“\:",‘AbGecause“GCC‘<˜with“the“\È--Wall«"Ž¡option–UUissued“the“folloš¸ãwing“w˜arning:Ž¡\`ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘B~¸«::‘ÏsidesŽ‘I–«'–UUwill“bGe“initialized“after“`ÂrealŽ‘³.Regu½‰™šs4Ž‘ÔwP®9olygonŽ‘Y1æ«::‘Ïr‘ÿ}'adiusŽ‘È'«'".ŽŸŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ©îÿ·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘H)^«functions‘@­1024“·i‘Ç«+·Ž¡‘ -ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘L~¹«::‘ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘B~¸«(ÂconstŽ‘…,P•®9oin“tŽ‘=ÏS«&Ž‘E–qÏc–ÿ}'c“enterŽ‘e¶º±;‘ª¨ÂconstŽ‘ /ÔunsignedŽ‘PÁlshortŽ‘næ™ÏssidesŽ’‰Fë±;‘ª¨ÂconstŽ‘ /ÔrealŽŽ¡‘2ÏddiameterŽ‘^çj±;‘ª¨ÂconstŽ‘Ô›realŽ‘6‡Ïangle‘‰ffŽ‘®xŽ‘W ö±;‘ª¨ÂconstŽ‘Ô›realŽ‘6‡Ïangle‘‰ffŽ‘®yŽ‘Vò¥±;‘ª¨ÂconstŽ‘Ô›realŽ‘6‡Ïangle‘‰ffŽ‘®zŽ‘V†«):‘qoÏr‘ÿ}'adiusŽ‘ 9’«(ÏddiameterŽ‘,çe±=«2Ž‘)±;Ž¡‘2ÏsidesŽ‘HI—«(ÏssidesŽ‘`R«)–UU·f“Âb•QÇo“olŽ‘ö»ÝDEBUGŽ‘:„,«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘+׫(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘®s·‘U<Ý"EnteringÈ ÝReg_PolygoŽ‘oUn::Reg_Polygon()È Ý"Ž’Ô°n·Ž¡‘<Ý"(center,È Ýsides,È ÝdiaŽ’¤ÿÊmeter,È Ýangles).\n"Ž’Í·‘ÇÏ ushŽ‘€«;Ž¡‘Ïc‘ÿ}'enterŽ‘<Ц«=‘ÇÏc–ÿ}'c“enterŽ‘"ça±;‘ª¨Ïon‘‰ffŽ›®fr–ÿ}'e“e‘‰ffŽ˜stor“eŽ‘<²«=‘ÇÏfalseŽ‘v\«;Ž¡‘Ïinternal‘‰ffŽ‘®angleŽ‘^SP«=‘Ç360±:«0ŽŽ‘Ž9±=ÏsidesŽ‘I’«;Ž¡‘Ïcycle‘‰ffŽ‘®switchŽ‘Uǵ«=‘ÇÏtrueŽ‘‹°«;Ž¡‘Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘rT±:Ïr‘ÿ}'esizeŽ‘i«(6Ž‘±;‘ª¨«0Ž‘ª©);‘±=·‘ÿý«LDF–UU2003.04.09.‘qÇAdded“this“line.‘o·±=Ž¡‘Ïc‘ÿ}'enterŽ‘: ޱ:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);ŽŸÌüÂ1031.‘ ü«F‘ÿ*ªor–Ûÿregular“pGolygons“with“an“evš¸ãen“n˜um˜bGer“of“sides,‘ôDw˜e“rotate“them“so“that“a“ at“side“is“at“the“\top"Ž¡(in–UUthe“direction“of“the“pGositiv¸ãe“z-axis,“if“Ïangle‘‰ffŽ‘®xŽ‘#Û1«,“Ïangle‘‰ffŽ‘®yŽ‘#Àà«,“and“Ïangle‘‰ffŽ‘®zŽ‘&ª «are“all“0).ަ·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘H)^«functions‘@­1024“·i‘Ç«+·Ž¡‘ +·gޤÂ1031.‘ üCen®9ter,–ÕTsides,“diameter,“and“angles.Ž¡1032.‘ üConstructor.ަ·h–ª¨«Declare‘UUÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘H)^«functions‘@­1026“·i‘Ç«+·ޤ ‘ +ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘K~µ«(ÂconstŽ‘k P•®9oin“tŽ‘=›;«&Ž‘EbYÏc–ÿ}'c“enterŽ‘e‚¢±;‘ª¨ÂconstŽ‘ ÈunsignedŽ‘PTshortŽ‘n˜uÏssidesŽ’ˆøÇ±;‘ª¨ÂconstŽ‘ ÈrealŽ‘7 tÏddiameterŽ‘cðÙ±;‘ª¨ÂconstŽŽ¡‘realŽ‘4³1Ïangle‘‰ffŽ‘®xŽ‘X%«=‘Ç0Ž–Ç±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏangle‘‰ffŽ‘®yŽ‘Y»«=‘Ç0Ž“±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏangle‘‰ffŽ‘®zŽ‘YO«=‘Ç0Ž“);ŽŽŽŒ‹(ÀH Šn ý‘ì«296›­CONSTR•ÃŽUCTOR’By3DLDFPR“G˜·x«1033Ž €n ý•@PÂ1033.ŽŸÝýŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¤ ‘ +«[¬LDF‘T2003.08.27.«]Ž‘Xï„Revš¸ãersed–<žthe“order“of“the“initializations“follo˜wing“\:",‘AbGecause“GCC‘<˜with“the“\È--Wall«"Ž¡option–UUissued“the“folloš¸ãwing“w˜arning:Ž¡\`ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘B~¸«::‘ÏsidesŽ‘I–«'–UUwill“bGe“initialized“after“`ÂrealŽ‘³.Regu½‰™šs4Ž‘ÔwP®9olygonŽ‘Y1æ«::‘Ïr‘ÿ}'adiusŽ‘È'«'".ŽŸŸüÈ„`ÕÁGŽŽ©îÿ·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘H)^«functions‘@­1027“·i‘Ç«+·Ž¡‘ +ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘L~¹«::‘ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘B~¸«(ÂconstŽ‘…,P•®9oin“tŽ‘=ÏS«&Ž‘E–qÏc–ÿ}'c“enterŽ‘e¶º±;‘ª¨ÂconstŽ‘ /ÔunsignedŽ‘PÁlshortŽ‘næ™ÏssidesŽ’‰Fë±;‘ª¨ÂconstŽ‘ /ÔrealŽŽ¡‘2ÏddiameterŽ‘^çj±;‘ª¨ÂconstŽ‘Ô›realŽ‘6‡Ïangle‘‰ffŽ‘®xŽ‘W ö±;‘ª¨ÂconstŽ‘Ô›realŽ‘6‡Ïangle‘‰ffŽ‘®yŽ‘Vò¥±;‘ª¨ÂconstŽ‘Ô›realŽ‘6‡Ïangle‘‰ffŽ‘®zŽ‘V†«):‘qoÏr‘ÿ}'adiusŽ‘ 9’«(ÏddiameterŽ‘,çe±=«2Ž‘)±;Ž¡‘2ÏsidesŽ‘HI—«(ÏssidesŽ‘`R«)–UU·f“Âb•QÇo“olŽ‘ö»ÝDEBUGŽ‘:„,«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘+׫(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘®s·‘U<Ý"EnteringÈ ÝReg_PolygoŽ‘oUn::Reg_Polygon()È Ý"Ž’Ô°n·Ž¡‘<Ý"(center,È Ýsides,È ÝdiaŽ’¤ÿÊmeter,È Ýangles).\n"Ž’Í·‘ÇÏ ushŽ‘€«;Ž¡‘Ïc‘ÿ}'enterŽ‘<Ц«=‘ÇÏc–ÿ}'c“enterŽ‘"ça±;‘ª¨Ïon‘‰ffŽ›®fr–ÿ}'e“e‘‰ffŽ˜stor“eŽ‘<²«=‘ÇÏfalseŽ‘v\«;Ž¡‘Ïinternal‘‰ffŽ‘®angleŽ‘^SP«=‘Ç360±:«0ŽŽ‘Ž9±=ÏsidesŽ‘I’«;Ž¡‘Ïcycle‘‰ffŽ‘®switchŽ‘Uǵ«=‘ÇÏtrueŽ‘‹°«;Ž¡‘Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘rT±:Ïr‘ÿ}'esizeŽ‘i«(6Ž‘±;‘ª¨«0Ž‘ª©);‘±=·‘ÿý«LDF–UU2003.04.09.‘qÇAdded“this“line.‘o·±=Ž¡‘Ïc‘ÿ}'enterŽ‘: ޱ:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);ŽŸÌüÂ1034.‘ ü«F‘ÿ*ªor–Ûÿregular“pGolygons“with“an“evš¸ãen“n˜um˜bGer“of“sides,‘ôDw˜e“rotate“them“so“that“a“ 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[¬LDF‘T2003.05.09.«]Ž‘Y;Renamed–UUthis“function“Ïget‘‰ffŽ–®mid‘‰ffŽ“p‘ÿ}'ointŽ‘>À°«(›ª®).‘qÇF–ÿ*ªormerly“,–UUit“w¸ãas“called“Ïmid‘‰ffŽ‘®p‘ÿ}'ointŽ‘.Œô«(˜).Ž¡‘ -[¬LDF‘T2003.07.18.«]Ž‘Y;Made‘UUÂconstŽ‘*¢«.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂRectangleŽ‘8ê?«functions‘@­1058“·i‘Ç«+·Ž© ‘ -ÂP•®9oin“tŽ‘(ïžÏget‘‰ffŽ–®mid‘‰ffŽ“p‘ÿ}'ointŽ‘dZù«(ÂunsignedŽ‘07shortŽ‘N±±cŽ‘RUŒ«)‘UUÂconstŽ‘*¢«;ŽŸÂ1083.Ž¡·h–ª¨«De ne‘UUÂRectangleŽ‘8ê?«functions‘@­1059“·i‘Ç«+·ަ‘ -ÂP•®9oin“tŽ‘(ïžRectangleŽ‘\/7«::‘Ïget‘‰ffŽ–®mid‘‰ffŽ“p‘ÿ}'ointŽ‘‘Ç«3Ž‘Ç)‘·fަ‘Ïc‘ÿ}'errŽ‘8K·‘•oÝ"ERROR:È ÝRectanglesÈ ÝhŽ‘p•3aveÈ Ý4È Ýmid_points,È Ý"Ž’ÜpÑ·ަ‘2Ý"numberedÈ Ý0È ÝthroughÈ Ž’šÿÉÝ3.\nReturningÈ ÝINVALIŽ’ÿD_POINT.\n"Ž’A ì·‘ÇÏ 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les‘@­11“·i‘Ç«+·Ž¡«#ÂincludeŽ‘'Ø~Ý"loader.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"pspglb.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"io.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"colors.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"transfor.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"shapes.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"pictures.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"points.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"lines.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"planes.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"paths.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"curves.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"polygons.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"rectangs.h"ŽŽŸÂ1103.‘ üEllipse–ÕTclass“de nition.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.07.25.«]Ž‘Y;Added‘UUÏfo‘ÿ}'cus0Ž– «,‘UUÏfo‘ÿ}'cus1Ž“«,–UUand“Ïline–ÿ}'ar‘‰ffŽ‘®e“c“c“entricityŽ‘R0«.Ž¡‘ -[¬LDF‘T2003.07.27.«]Ž‘Y;Added‘UUÏnumeric–ÿ}'al‘‰ffŽ‘®e“c“c“entricityŽ‘d'#«.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«De ne‘UUÂclassŽ‘5¦EllipseŽ‘D^ƒ­1098“·i‘ÇŽ¡‘ +[¬LDF‘T2003.07.27.«]Ž‘Y;Added‘UUÏnumeric–ÿ}'al‘‰ffŽ‘®e“c“c“entricityŽ‘d'#«.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«De ne‘UUÂclassŽ‘5¦EllipseŽ‘D^ƒ­1103“·i‘ÇŽ¡‘ 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üOptional–ÕTpQÇoinš®9ter“argumen˜t.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ -«[¬LDF‘T2002.11.06.«]Ž‘Y;Added–UUoptional“ÂconstŽ‘!÷EllipseŽ‘F¾%·Ž‘O{«argumen¸ãt.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·ަ‘ -ÂstaticŽ‘)HÚEllipseŽ‘N‡·Ž‘S‡ Ïcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“el‘‚ØlipseŽ’¡ˆd«(ÂconstŽ‘*¢EllipseŽ‘ChзŽ‘HhѱeŽ‘O×ê«=‘Ç0Ž‘Ç);ŽŸÂ1110.Ž¡·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ަ‘ +·gޤÂ1113.‘ üPseudo-constructor–ÕTfor“dynamic“alloQÇcation.Ž¡1114.‘ üOptional–ÕTpQÇoinš®9ter“argumen˜t.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¦‘ +«[¬LDF‘T2002.11.06.«]Ž‘Y;Added–UUoptional“ÂconstŽ‘!÷EllipseŽ‘F¾%·Ž‘O{«argumen¸ãt.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·ަ‘ +ÂstaticŽ‘)HÚEllipseŽ‘N‡·Ž‘S‡ Ïcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“el‘‚ØlipseŽ’¡ˆd«(ÂconstŽ‘*¢EllipseŽ‘ChзŽ‘HhѱeŽ‘O×ê«=‘Ç0Ž‘Ç);ŽŸÂ1115.Ž¡·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ަ‘ ÂEllipseŽ‘/>/·Ž‘4>0ÂEllipseŽ‘W' «::‘Ïcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“el‘‚ØlipseŽ‘O_«(ÂconstŽ‘*¢EllipseŽ‘ChзŽ‘HhѱeŽ‘MÒ«)ަ‘ ·fަ‘ÂEllipseŽ‘9>0·Ž‘>>1±rŽ‘EÏ]«=‘ÇÂnewŽ‘Ïœ«(ÂEllipseŽ‘!èÙ«);Ž¡‘ÂifŽ‘´ú«(±eŽ‘o·6«=‘Ç0Ž–Ç)‘·Ž‘ ±rŽ‘‘-«=‘Ç·Ž“±eŽ‘ o«;ަ‘±rŽ‘ÊŸ~ŽŽ‘ÊÏon‘‰ffŽ›®fr–ÿ}'e“e‘‰ffŽ˜stor“eŽ‘W6!«=‘ÇÏtrueŽ‘‹°«;ަ‘ÂreturnŽ‘7æ¼±rŽ‘<°Ð«;ަ‘ -·gŽŸÂ1111.‘ üRequired–ÕTEllipse“argumen®9t.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ -«[¬LDF‘T2002.11.06.«]Ž‘Y;Added–UUthis“function.Ž¡ŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·ަ‘ -ÂstaticŽ‘)HÚEllipseŽ‘N‡·Ž‘S‡ Ïcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“el‘‚ØlipseŽ’¡ˆd«(ÂconstŽ‘*¢EllipseŽ‘ChЫ&Ž‘K/î±eŽ‘O×ï«);ŽŽŽŒ‹7£Å Šn ý‘ì·x«1112‘­3DLDFPRšÃŽG’Æu@REQUIRED–ÕXÂELLIPSE“­AR˜GUMENT‘«311Ž €n ý•@PÂ1112.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ޤ ‘ +·gŽŸÂ1116.‘ üRequired–ÕTEllipse“argumen®9t.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¦‘ +«[¬LDF‘T2002.11.06.«]Ž‘Y;Added–UUthis“function.Ž¡ŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·ަ‘ 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‹«;‘±=·‘ÿýÂEllipseŽ‘*>+«mem¸ãbGers.‘o·±=Ž¡‘Ïaxis‘‰ffŽ‘®hŽ‘1À§«=‘DZeŽ‘o:Ïaxis‘‰ffŽ‘®hŽ‘ù«;Ž¡‘Ïaxis‘‰ffŽ‘®vŽ‘1Œø«=‘DZeŽ‘o:Ïaxis‘‰ffŽ‘®vŽ‘ÅÞ«;Ž¡‘Ïfo‘ÿ}'cus0Ž‘3zD«=‘DZeŽ‘o:Ïfo‘ÿ}'cus0Ž‘³*«;Ž¡‘Ïfo‘ÿ}'cus1Ž‘3zD«=‘DZeŽ‘o:Ïfo‘ÿ}'cus1Ž‘³*«;Ž¡‘Ïnumb›ÿ}'er‘‰ffŽ–®of‘‰ffŽ“p˜ointsŽ‘a‡Ã«=‘DZeŽ‘o:Ïnumb›ÿ}'er‘‰ffŽ–®of‘‰ffŽ“p˜ointsŽ‘JÀ©«;‘±=·‘ÿýÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘qLê«mem¸ãbGers.‘o·±=Ž¡‘ÂreturnŽ‘7æ¼·Ž‘<æ½ÏthisŽ‘MÒs«;Ž¡‘ -·gަÂ1116.‘ üLabQÇelling.ަ1117.‘ üLabQÇel.ŽŸ·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·Ž¡‘ -Âv®9oidŽ‘#0}Ïlab‘ÿ}'elŽ‘7¥«(ÂconstŽ‘]FstringŽ‘?µ7Ïp‘ÿ}'osŽ‘Qòx«=‘Ý"top"Ž‘áØ±;‘ª¨ÂconstŽ‘ îb•QÇo“olŽ‘9ÛøÏdotŽ‘Kø„«=‘ÏfalseŽ‘Êñ;‘ª¨ÂPictureŽ‘*ή«&Ž‘2•ÌÏpictur‘ÿ}'eŽ‘Tº!«=‘Ïcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘EAF«)Ž¡‘ÂconstŽ‘8ÕP«;ŽŽŽŒ‹8±a Šn ý‘ì«312–­LABEL’@û3DLDFPRÃŽG“·x«1118Ž €n ý•@PÂ1118.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ޤ ‘ +·gަÂ1121.‘ üLabQÇelling.ަ1122.‘ üLabQÇel.ŽŸ·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·Ž¡‘ +Âv®9oidŽ‘#0}Ïlab‘ÿ}'elŽ‘7¥«(ÂconstŽ‘]FstringŽ‘?µ7Ïp‘ÿ}'osŽ‘Qòx«=‘Ý"top"Ž‘áØ±;‘ª¨ÂconstŽ‘ îb•QÇo“olŽ‘9ÛøÏdotŽ‘Kø„«=‘ÏfalseŽ‘Êñ;‘ª¨ÂPictureŽ‘*ή«&Ž‘2•ÌÏpictur‘ÿ}'eŽ‘Tº!«=‘Ïcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘EAF«)Ž¡‘ÂconstŽ‘8ÕP«;ŽŽŽŒ‹<µì Šn ý‘ì«316–­LABEL’@û3DLDFPRÃŽG“·x«1123Ž €n ý•@PÂ1123.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙEllipseŽ‘Eæ¶«::‘Ïlab‘ÿ}'elŽ‘tœ«(ÂconstŽ‘*¢stringŽ‘?OïÏp‘ÿ}'osŽ‘Nq±±;‘ª¨ÂconstŽ‘ÕJb•QÇo“olŽ‘9v°ÏdotŽ‘Hw½±;‘ª¨ÂPictureŽ‘*œ «&Ž‘2c(Ïpictur‘ÿ}'eŽ‘Qkþ«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂifŽ‘´ú«(ÂLabQÇelŽ‘Ag«::Ž‘#Ï¥ÝDO_LABELSŽ‘V] ·‘ÇÏfalseŽ‘v\«)‘·fŽ¡‘ÂreturnŽ‘>‘h«;Ž¡‘·gަ‘ÂstringŽ‘5%O±sŽ‘9ÕO«;Ž¡‘Âc®9harŽ‘-jK±cŽ‘4…>«=‘ÇÝ'a'Ž‘ w«;ަ‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂP•®9oin“tŽ‘ï·Ž‘#ïži‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘ÇÏp‘ÿ}'ointsŽ–ë­±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏp‘ÿ}'ointsŽ“±:ÏendŽ‘ಫ(˜);‘ÿýÏiterŽ‘JûŸÿ®+‘ÿ+ŽŽ‘"«)‘·fŽ¡‘±sŽ‘%w«=‘DZcŽ‘ó«;Ž¡‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïlab‘ÿ}'elŽ‘t˜«(±sŽ‘°;‘ª¨Ïp‘ÿ}'osŽ‘Ìj±;‘ª¨ÏdotŽ‘«µ±;‘ª¨Ïpictur‘ÿ}'eŽ‘ 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-[¬LDF‘T2003.07.25.«]Ž‘Y;No•¸ãw›UUc“hec“king˜ÏnormalŽ‘&s%·‘ÇÝINVALID_POINTŽ‘GY«.‘qÇIf˜it˜is,˜Ïis‘‰ffŽ‘®el‘‚Øliptic‘ÿ}'alŽ‘4Aë«(‘ª®)˜returns˜ÏfalseŽ‘™«.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·Ž¡‘ -Âb•QÇo“olŽ‘#¡gÏis‘‰ffŽ‘®el‘‚Øliptic‘ÿ}'alŽ‘Tý«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹9½ƒ Šn ý‘ì·x«1122–­3DLDFPRÃŽG’äŸIS‘ÕXELLIPTICAL“«313Ž €n ý•@PÂ1122.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ޤ ‘ +[¬LDF‘T2003.07.25.«]Ž‘Y;No•¸ãw›UUc“hec“king˜ÏnormalŽ‘&s%·‘ÇÝINVALID_POINTŽ‘GY«.‘qÇIf˜it˜is,˜Ïis‘‰ffŽ‘®el‘‚Øliptic‘ÿ}'alŽ‘4Aë«(‘ª®)˜returns˜ÏfalseŽ‘™«.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·Ž¡‘ +Âb•QÇo“olŽ‘#¡gÏis‘‰ffŽ‘®el‘‚Øliptic‘ÿ}'alŽ‘Tý«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹=Áã Šn ý‘ì·x«1127–­3DLDFPRÃŽG’äŸIS‘ÕXELLIPTICAL“«317Ž €n ý•@PÂ1127.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ޤ ‘ Âb•QÇo“olŽ‘#¡gEllipseŽ‘FŠD«::‘Ïis‘‰ffŽ‘®el‘‚Øliptic‘ÿ}'alŽ‘1ìš«(‘ª®)‘UUÂconstŽŽ¡‘ 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Ýalignment:"Ž‘i†,«);ަ‘ÂP•®9oin“tŽ‘2ïŸÏx‘‰ffŽ–®axis‘‰ffŽ“ptŽ‘Y»¼«(1Ž‘);Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏp0Ž‘AÍw«=‘DZeŽ‘o:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(0Ž‘);Ž¡‘ÂrealŽ‘*³0ÏangŽ‘>4î«=‘ÇÏp0Ž‘ÝØ±:ÏangleŽ‘ÀS«(Ïx‘‰ffŽ–®axis‘‰ffŽ“ptŽ‘&Ì«);ަ‘±tŽ‘œt:Ïr‘ÿ}'esetŽ‘Æ·«(‘ª¨);Ž¡‘±tŽ‘œt:Ïr‘ÿ}'otateŽ‘o>«(0Ž‘±;‘ª¨ÏangŽ‘eN«);Ž¡‘Ïp0Ž‘"ÝÚ·«=ŽŽ‘2l±eŽ‘7:Ïdo‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘9š4«(±tŽ‘œr«);Ž¡‘Ïp0Ž‘ ±:Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘0•u«(Ïtrueޑƫ);Ž¡‘ÂifŽ‘´ú«(Ïp0Ž‘ÝØ·6«=‘ÇÏx‘‰ffŽ–®axis‘‰ffŽ“ptŽ‘)“5«)‘·fŽ¡‘±tŽ‘!œu:Ïr‘ÿ}'esetŽ‘Æ·«(‘ª¨);Ž¡‘±tŽ‘!œu:Ïr‘ÿ}'otateŽ‘o>«(0Ž‘±;‘ª¨·Ž‘ qÆ«2Ž‘ª§·‘8àÏangŽ‘ó†«);Ž¡‘±eŽ‘"¨:Ïdo‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘9š4«(±tŽ‘œr«);Ž¡‘·gŽ¡‘Ïp0Ž‘"ÝÚ«=‘DZeŽ‘o:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(0Ž‘);Ž¡‘Ïp0Ž‘ ±:Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘0•u«(Ïtrueޑƫ);Ž¡‘ÂifŽ‘´ú«(Ïp0Ž‘ÝØ·6«=‘ÇÏx‘‰ffŽ–®axis‘‰ffŽ“ptŽ‘)“5«)‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)Ž¡‘(Ïc‘ÿ}'errŽ‘=”Ü·‘ß2Ý"ERROR!È ÝInÈ Ýis_elliptŽ‘kÞöical():\n"Ž’£Är·‘ß2Ý"RotationÈ Ýfailed.\nRŽ‘kÞöeturningÈ Ýfalse\n\n"Ž’ÓW·Ž¡‘<Ï ushŽ‘Q¹«;Ž¡‘ÂreturnŽ‘Aæ½ÏfalseŽ‘V–«;Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘±eŽ‘ ¨:ÏshowŽ‘Šÿ«(Ý"eÈ ÝafterÈ ÝrotationÈ ÝinŽ‘hÿÄÈ Ýx-zÈ Ýplane:"Ž’¨†«);ަ‘ÂrealŽ‘*³0±xŽ‘0jL«;Ž¡‘ÂrealŽ‘*³0±zŽ‘/ÊN«;Ž¡‘ÂrealŽ‘*³0±aŽ‘2Ãx«=‘Ç(±eŽ‘¨:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(0Ž‘)–8à·“±eŽ‘àá:Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ‘,=G«(–ª¨))±:ÏmagnitudeŽ‘.=r«(“);Ž¡‘ÂrealŽ‘*³0±bŽ‘1Äò«=‘Ç(±eŽ‘¨:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(Ïnumb›ÿ}'er‘‰ffŽ–®of‘‰ffŽ“p˜ointsŽ‘JÀ©±=«4Ž‘)–8à·“±eŽ‘àá:Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ‘,=G«(–ª¨))±:ÏmagnitudeŽ‘.=r«(“);ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"aÈ Ý==È Ý"Ž‘*Ôƒ·‘DZaŽ‘ -×`·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"bÈ Ý==È Ý"Ž‘*Ôƒ·‘DZbŽ‘ ØÚ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘·gަ‘ÂrealŽ‘*³0±rŽ‘/}D«;Ž¡‘Âin®9tŽ‘%¤ù±iŽ‘+Þ«=‘Ç0Ž‘Ç;ŽŽŽŒ‹:˼ Šn ý‘ì«314–­IS‘ÕXELLIPTICAL’äŸ3DLDFPRÃŽG“·x«1122Ž €n ý•@P‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂP•®9oin“tŽ‘ï·Ž‘#ïži‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZeŽ–o:Ïp‘ÿ}'ointsŽ›$•±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);‘ÿýÏiterŽ‘’·6«=‘DZeŽ“:Ïp‘ÿ}'ointsŽ˜±:ÏendŽ‘ಫ(‘ª¨);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fޤ ‘±xŽ‘&~7«=‘Ç(·Ž‘Ž‘ +×`·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"bÈ Ý==È Ý"Ž‘*Ôƒ·‘DZbŽ‘ ØÚ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘·gަ‘ÂrealŽ‘*³0±rŽ‘/}D«;Ž¡‘Âin®9tŽ‘%¤ù±iŽ‘+Þ«=‘Ç0Ž‘Ç;ŽŽŽŒ‹>ÏÆ Šn ý‘ì«318–­IS‘ÕXELLIPTICAL’äŸ3DLDFPRÃŽG“·x«1127Ž €n ý•@P‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂP•®9oin“tŽ‘ï·Ž‘#ïži‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZeŽ–o:Ïp‘ÿ}'ointsŽ›$•±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);‘ÿýÏiterŽ‘’·6«=‘DZeŽ“:Ïp‘ÿ}'ointsŽ˜±:ÏendŽ‘ಫ(‘ª¨);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fޤ ‘±xŽ‘&~7«=‘Ç(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïget‘‰ffŽ‘®xŽ‘Žg«(‘ª¨);Ž¡‘±zŽ‘%Þ9«=‘Ç(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïget‘‰ffŽ‘®zŽ‘«(‘ª¨);Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"PointÈ Ý"Ž‘0€·‘DZiŽ‘ $·‘ÇÝ":È Ý"Ž‘Œ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘((·Ž‘Ž‘ ÏiterŽ‘Ë«)±:ÏshowŽ‘Šÿ«(Ý"iter:"Ž‘%FS«);Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"xÈ Ý==È Ý"Ž‘*Ôƒ·‘DZxŽ‘ EL·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"zÈ Ý==È Ý"Ž‘*Ôƒ·‘DZzŽ‘ ¥N·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘±rŽ‘%‘/«=‘Ç((±xŽ–ïü·‘8à±xŽ“«)±=«(±aŽ–‚·‘8à±aŽ“«))–8à+“((±zŽ›Oþ·“±zŽ˜«)±=«(±bŽ›ƒŠ·“±bŽ˜«));Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"rÈ Ý==È Ý"Ž‘*Ôƒ·‘DZrŽ‘ XD·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ÂifŽ‘)´û«(ÏfabsŽ‘2Ò«(±rŽ‘ô·‘8à«1Ž‘8á)–DZ>“ÂP•®9oin“tŽ‘ad«::Ž‘%ï¢ÏepsilonŽ‘E^¦«(‘ª¨))‘·fŽ¡‘(ÂifŽ‘4r3«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘[ª·‘sÝ"PointÈ Ý"Ž‘2‹6·‘s±iŽ‘ vÚ·‘sÝ"È Ýdoesn'tÈ ÝsatisfyÈ ÝelŽ‘m7lipseÈ Ýequation.\n"Ž’Ð Ü·Ž¡‘FÝ"ReturningÈ Ýfalse.\n\Ž’®ÿËn"Ž’¼ÍE·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾ÏfalseŽ‘`–«;Ž¡‘·gŽ¡‘€Ÿÿ®+‘ÿ+ŽŽ‘*G#±iŽ‘-¹«;Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)Ž¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"ExitingÈ ÝEllipse::isŽ‘kÆÜ_elliptical().È ÝRetuŽ’ÔÆ rningÈ Ýtrue."Ž’ü·‘ÇÏend‘‚ØlŽ–ò·‘ÇÏend‘‚ØlŽ“·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘7æ¼ÏtrueŽ‘J«T«;Ž¡‘ -·gŽ©Â1123.‘ üIs‘ÕTquadratic.ŽŸ·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·Ž¡‘ +·gŽ©Â1128.‘ üIs‘ÕTquadratic.ŽŸ·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·Ž¡‘ ÂinlineŽ‘)ŠIb•QÇo“olŽ‘C+¯Ïis‘‰ffŽ‘®quadr‘ÿ}'aticŽ‘w£«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼ÏtrueŽ‘J«T«;Ž¡‘ -·gަÂ1124.‘ üIs‘ÕTcubic.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.07.27.«]Ž‘Y;Made‘UUÂvirtualŽ‘(ã(«and‘UUnon-inline.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·ŽŸ ‘ -ÂvirtualŽ‘/Ôb•QÇo“olŽ‘I/:Ïis‘‰ffŽ‘®cubicŽ‘kT^«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹;Ù¸ Šn ý‘ì·x«1125–­3DLDFPRÃŽG’7l‰IS‘ÕXCUBIC“«315Ž €n ý•@PÂ1125.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ޤ ‘ +·gަÂ1129.‘ üIs‘ÕTcubic.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.07.27.«]Ž‘Y;Made‘UUÂvirtualŽ‘(ã(«and‘UUnon-inline.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·ŽŸ ‘ +ÂvirtualŽ‘/Ôb•QÇo“olŽ‘I/:Ïis‘‰ffŽ‘®cubicŽ‘kT^«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹?Ý Šn ý‘ì·x«1130–­3DLDFPRÃŽG’7l‰IS‘ÕXCUBIC“«319Ž €n ý•@PÂ1130.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ޤ ‘ Âb•QÇo“olŽ‘#¡gEllipseŽ‘FŠD«::‘Ïis‘‰ffŽ‘®cubicŽ‘#%(«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼ÏfalseŽ‘L–«;Ž¡‘ -·gŽŸÂ1126.‘ üIs‘ÕTquartic.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.07.27.«]Ž‘Y;Made‘UUÂvirtualŽ‘(ã(«and‘UUnon-inline.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·Ž¡‘ -ÂvirtualŽ‘/Ôb•QÇo“olŽ‘I/:Ïis‘‰ffŽ‘®quarticŽ‘sa'«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŸÂ1127.ަ·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·Ž¡‘ +·gŽŸÂ1131.‘ üIs‘ÕTquartic.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.07.27.«]Ž‘Y;Made‘UUÂvirtualŽ‘(ã(«and‘UUnon-inline.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·Ž¡‘ +ÂvirtualŽ‘/Ôb•QÇo“olŽ‘I/:Ïis‘‰ffŽ‘®quarticŽ‘sa'«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŸÂ1132.ަ·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·Ž¡‘ Âb•QÇo“olŽ‘#¡gEllipseŽ‘FŠD«::‘Ïis‘‰ffŽ‘®quarticŽ‘+1ñ«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼ÏfalseŽ‘L–«;Ž¡‘ -·gŽŸÂ1128.– üSolv®9e.“«[¬LDF‘T2002.11.06.«]Ž‘ZÌÏsolveŽ‘pO—«(‘ª®)–äëassumes“that“the“ÂEllipseŽ‘'²¯«lies“in“a“ma‘Ž8jor“plane“with“its“cen¸ãter“atŽ¡the–ãÿorigin.›LCoGde“that“calls“it“m¸ãust“ensure“that“these“conditions“are“ful lled.˜ÏsolveŽ‘ƒË«(‘ª®)“returns“the“t•¸ãw“o‘ãÿpGossibleŽ¡v‘ÿqÇalues–UUfor“either“the“horizonš¸ãtal“or“the“v˜ertical“coGordinate.Ž¡‘ -TO–UUDO:“Read“through,“and“then“explain“this“function.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +·gŽŸÂ1133.– üSolv®9e.“«[¬LDF‘T2002.11.06.«]Ž‘ZÌÏsolveŽ‘pO—«(‘ª®)–äëassumes“that“the“ÂEllipseŽ‘'²¯«lies“in“a“ma‘Ž8jor“plane“with“its“cen¸ãter“atŽ¡the–ãÿorigin.›LCoGde“that“calls“it“m¸ãust“ensure“that“these“conditions“are“ful lled.˜ÏsolveŽ‘ƒË«(‘ª®)“returns“the“t•¸ãw“o‘ãÿpGossibleŽ¡v‘ÿqÇalues–UUfor“either“the“horizonš¸ãtal“or“the“v˜ertical“coGordinate.Ž¡‘ +TO–UUDO:“Read“through,“and“then“explain“this“function.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.07.20.«]Ž‘XŠ No¸ãw–×'using“Ïget‘‰ffŽ–®axis‘‰ffŽ“vŽ‘-ÐÁ«(›ª®)“and“Ïget‘‰ffŽ–®axis‘‰ffŽ“hŽ‘.p«(˜),‘ðcinstead“of“accessing“Ïaxis‘‰ffŽ‘®hŽ‘ §Û«and“Ïaxis‘‰ffŽ‘®vŽ‘ t,«directly‘ÿ*ª.Ž¡‘ -[¬LDF‘T2003.07.25.«]Ž‘Y;Remo•¸ãv“ed–UUsome“commenš¸ãted-out“coGde,“and“an“explanatory“commen˜t.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·Ž¡‘ -Ârealu½‰™šs4Ž‘ÔwpairŽ‘9p‚ÏsolveŽ‘O¨M«(Âc®9harŽ‘jIÏaxis‘‰ffŽ‘®unknownŽ‘UÞ±;‘ª¨ÂrealŽ‘]ÖÏknownŽ‘5>¢«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹<ã½ Šn ý‘ì«316–­SOL‘ÿ8VE’Aë'3DLDFPRÃŽG“·x«1129Ž €n ý•@PÂ1129.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ޤ ‘ +[¬LDF‘T2003.07.25.«]Ž‘Y;Remo•¸ãv“ed–UUsome“commenš¸ãted-out“coGde,“and“an“explanatory“commen˜t.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·Ž¡‘ +Ârealu½‰™šs4Ž‘ÔwpairŽ‘9p‚ÏsolveŽ‘O¨M«(Âc®9harŽ‘jIÏaxis‘‰ffŽ‘®unknownŽ‘UÞ±;‘ª¨ÂrealŽ‘]ÖÏknownŽ‘5>¢«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹@眠Šn ý‘ì«320–­SOL‘ÿ8VE’Aë'3DLDFPRÃŽG“·x«1134Ž €n ý•@PÂ1134.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ޤ ‘ Ârealu½‰™šs4Ž‘ÔwpairŽ‘9p‚EllipseŽ‘\Y_«::‘ÏsolveŽ‘7Ï«(Âc®9harŽ‘jIÏaxis‘‰ffŽ‘®unknownŽ‘UÞ±;‘ª¨ÂrealŽ‘]ÖÏknownŽ‘5>¢«)‘UUÂconstŽ‘*¢·f‘UUÂrealŽ‘ƒÏr‘ÿ}'adius‘‰ffŽ‘®knownŽ‘U -Š«;Ž¡‘ÂrealŽ‘4³1Ïr‘ÿ}'adius‘‰ffŽ‘®unknownŽ‘z²\«;ަ‘Ïaxis‘‰ffŽ‘®unknownŽ‘]:ë«=‘ÇÏtolowerŽ‘#í«(Ïaxis‘‰ffŽ‘®unknownŽ‘“Ïr‘ÿ}'adius‘‰ffŽ‘®knownŽ‘=É«)‘·fŽ¡‘(ÂreturnŽ‘Kæ¾ÝINVALID_REAL_PAIRŽ’¥¬ó«;Ž¡‘·gŽŽŽŒ‹=ëö Šn ý‘ì·x«1130–­3DLDFPRÃŽG’Aë'SOL‘ÿ8VE“«317Ž €n ý•@PÂ1130.‘ ü«The–UUequation“for“an“ellipse“in“the“x-y“plane“with“its“cen¸ãter“at“the“origin“isޤ’ÃY¯±xŸûÞÿ®2Ž‘|s±=aŸûÞÿ®2Ž‘µS«+‘8à±y[ÙŸûÞÿ®2Ž‘ØL±=bŸûÞÿ®2Ž‘C‹«=‘Ç1Ž¡where–UU±a“«is“half“the“horizonš¸ãtal“axis“and“±b“«is“half“the“v˜ertical“axis.‘qÇTherefore,Ž¡’¹ë±y‘"ñ«=‘ÇŸöö5½pŽ‘ ÇŸöö5‰feFù+Ÿ Ë«(1–8à·“±xŸýr®2Ž–|s±=aŸýr®2Ž“«)–8à·“±bŸýr®2ŽŽŽŽŽ¡«andޤ ’·´\±x–Ç«=“Ÿöö5½pŽ‘ ÇŸöö5‰feF…Ÿ Ë«(1–8à·“±y[ÙŸýr®2Ž‘ØL±=bŸýr®2Ž‘|s«)“·“±aŸýr®2ŽŽŽŽ‘SL ±:ŽŸ·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·Ž¡‘ +Š«;Ž¡‘ÂrealŽ‘4³1Ïr‘ÿ}'adius‘‰ffŽ‘®unknownŽ‘z²\«;ަ‘Ïaxis‘‰ffŽ‘®unknownŽ‘]:ë«=‘ÇÏtolowerŽ‘#í«(Ïaxis‘‰ffŽ‘®unknownŽ‘“Ïr‘ÿ}'adius‘‰ffŽ‘®knownŽ‘=É«)‘·fŽ¡‘(ÂreturnŽ‘Kæ¾ÝINVALID_REAL_PAIRŽ’¥¬ó«;Ž¡‘·gŽŽŽŒ‹Aï Šn ý‘ì·x«1135–­3DLDFPRÃŽG’Aë'SOL‘ÿ8VE“«321Ž €n ý•@PÂ1135.‘ ü«The–UUequation“for“an“ellipse“in“the“x-y“plane“with“its“cen¸ãter“at“the“origin“isޤ’ÃY¯±xŸûÞÿ®2Ž‘|s±=aŸûÞÿ®2Ž‘µS«+‘8à±y[ÙŸûÞÿ®2Ž‘ØL±=bŸûÞÿ®2Ž‘C‹«=‘Ç1Ž¡where–UU±a“«is“half“the“horizonš¸ãtal“axis“and“±b“«is“half“the“v˜ertical“axis.‘qÇTherefore,Ž¡’¹ë±y‘"ñ«=‘ÇŸöö5½pŽ‘ ÇŸöö5‰feFù+Ÿ Ë«(1–8à·“±xŸýr®2Ž–|s±=aŸýr®2Ž“«)–8à·“±bŸýr®2ŽŽŽŽŽ¡«andޤ ’·´\±x–Ç«=“Ÿöö5½pŽ‘ ÇŸöö5‰feF…Ÿ Ë«(1–8à·“±y[ÙŸýr®2Ž‘ØL±=bŸýr®2Ž‘|s«)“·“±aŸýr®2ŽŽŽŽ‘SL ±:ŽŸ·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·Ž¡‘ ±rŽ‘Ê:Ï rstŽ‘|«=‘ÇÏsqrtŽ‘w«((1Ž‘‰Ä·–‰Ã«((ÏknownŽ›j·“ÏknownŽ˜«)±=«(Ïr‘ÿ}'adius‘‰ffŽ‘®knownŽ›;‹Ê·“Ïr‘ÿ}'adius‘‰ffŽ‘®knownŽ˜«)))“·“«(Ïr‘ÿ}'adius‘‰ffŽ‘®unknownŽ›Fˆî·“Ïr‘ÿ}'adius‘‰ffŽ‘®unknownŽ˜«));Ž¡‘ ±rŽ‘Ê:Ïse–ÿ}'c“ondŽ‘ nß«=‘Ç·Ž‘ Ž6±rŽ‘XJ:Ï rstŽ‘µª«;Ž¡‘ -ÂreturnŽ‘-æ»±rŽ‘2°Ï«;‘qÇ·gŽŸÂ1131.– üGet‘ôcoQÇecien®9ts.“«This–Dis“used“for“getting“the“coGecien¸ãts“of“the“quadratic“equation“that“resultsŽ¡from–0ÿreplacing“±y‘ŒØ«with“±mx–ËQ«+“±b–0ÿ«from“the“line“equation,‘géwhere“±m“«is“the“slopGe“and“±b“«the“in¸ãtercept“with“theŽ¡v•¸ãertical›B#axis,‘Eú(whic“hev“er˜that˜migh“t˜b•Ge˜in˜a˜particular˜case;‘H‰it˜needn't˜b“e˜the˜y-axis)˜in˜the˜equation˜for˜theŽ¡ellipseŽ¡’ÁÔ€±xŸûÞÿ®2Ž‘|s±= zŸûÞÿ®2Ž‘¾Í«+‘8à±y[ÙŸûÞÿ®2Ž‘ØL±= ‘‡ŸûÞÿ®2Ž‘ʧ«=‘Ç1Ž©namely›UU!!‘qÇST–ÿ*ªAR“T˜HERE.˜Chec•¸ãk˜this.‘qÇI˜think˜the˜±x˜«in˜the˜coGecien“t˜for˜±xŸü^ÿ®2Ž‘ÑÈ«is˜wrong.Ž¡¡‘7 ²±xŸûÞÿ®2Ž›|s±= zŸûÞÿ®2Ž‘¾Í«+–8à(±mx“«+“±b«)ŸûÞÿ®2Ž˜±= ‘‡ŸûÞÿ®2Ž‘‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +ÂreturnŽ‘-æ»±rŽ‘2°Ï«;‘qÇ·gŽŸÂ1136.– üGet‘ôcoQÇecien®9ts.“«This–Dis“used“for“getting“the“coGecien¸ãts“of“the“quadratic“equation“that“resultsŽ¡from–0ÿreplacing“±y‘ŒØ«with“±mx–ËQ«+“±b–0ÿ«from“the“line“equation,‘géwhere“±m“«is“the“slopGe“and“±b“«the“in¸ãtercept“with“theŽ¡v•¸ãertical›B#axis,‘Eú(whic“hev“er˜that˜migh“t˜b•Ge˜in˜a˜particular˜case;‘H‰it˜needn't˜b“e˜the˜y-axis)˜in˜the˜equation˜for˜theŽ¡ellipseŽ¡’ÁÔ€±xŸûÞÿ®2Ž‘|s±= zŸûÞÿ®2Ž‘¾Í«+‘8à±y[ÙŸûÞÿ®2Ž‘ØL±= ‘‡ŸûÞÿ®2Ž‘ʧ«=‘Ç1Ž©namely›UU!!‘qÇST–ÿ*ªAR“T˜HERE.˜Chec•¸ãk˜this.‘qÇI˜think˜the˜±x˜«in˜the˜coGecien“t˜for˜±xŸü^ÿ®2Ž‘ÑÈ«is˜wrong.Ž¡¡‘7 ²±xŸûÞÿ®2Ž›|s±= zŸûÞÿ®2Ž‘¾Í«+–8à(±mx“«+“±b«)ŸûÞÿ®2Ž˜±= ‘‡ŸûÞÿ®2Ž‘„`ÊŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·Ž© ‘ -Ârealu½‰™šs4Ž‘ÔwtripleŽ‘@ÉeÏget‘‰ffŽ‘®c–ÿ}'o“ecientsŽ’¹×«(ÂrealŽ‘³.ÏSlop‘ÿ}'eŽ‘.s±;‘ª¨ÂrealŽ‘]ÖÏv‘‰ffŽ‘®inter–ÿ}'c“eptŽ‘G‹x«)‘UUÂconstŽ‘*¢«;ŽŸÂ1132.Ž¡·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ަ‘ +[¬LDF‘T2003.07.27.«]Ž‘Y;Corrected–UUa“t¸ãypšGo“in“the“math“mo˜de“material“sho¸ãwing“the“co˜ecien¸ãts.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·Ž© ‘ +Ârealu½‰™šs4Ž‘ÔwtripleŽ‘@ÉeÏget‘‰ffŽ‘®c–ÿ}'o“ecientsŽ’¹×«(ÂrealŽ‘³.ÏSlop‘ÿ}'eŽ‘.s±;‘ª¨ÂrealŽ‘]ÖÏv‘‰ffŽ‘®inter–ÿ}'c“eptŽ‘G‹x«)‘UUÂconstŽ‘*¢«;ŽŸÂ1137.Ž¡·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ަ‘ Ârealu½‰™šs4Ž‘ÔwtripleŽ‘@ÉeEllipseŽ‘c²B«::‘Ïget‘‰ffŽ‘®c–ÿ}'o“ecientsŽ‘Aðv«(ÂrealŽ‘³.ÏSlop‘ÿ}'eŽ‘.s±;‘ª¨ÂrealŽ‘]ÖÏv‘‰ffŽ‘®inter–ÿ}'c“eptŽ‘G‹x«)‘UUÂconstŽŽ¦‘ ·fަ‘Ârealu½‰™šs4Ž‘ÔwtripleŽ‘JÉf±rŽ‘O“z«;ަ‘ÂrealŽ‘*³0Ïax‘‰ffŽ‘®hŽ‘AL«=‘ÇÏget‘‰ffŽ–®axis‘‰ffŽ“hŽ‘-ôa«(‘ª¨);ަ‘ÂrealŽ‘*³0Ïax‘‰ffŽ‘®vŽ‘AV«=‘ÇÏget‘‰ffŽ–®axis‘‰ffŽ“vŽ‘-À²«(‘ª¨);Ž¡‘±rŽ‘Ê:Ï rstŽ‘|«=‘Ç((Ïax‘‰ffŽ‘®vŽ›ž±=«2Ž‘)–8à·“«(Ïax‘‰ffŽ‘®vŽ˜±=«2Ž›))“+“(((Ïax‘‰ffŽ‘®hŽ‘ѽ±=«2Ž˜)“·“«(Ïax‘‰ffŽ‘®hŽ‘ѽ±=«2Ž˜))“·“«(ÏSlop‘ÿ}'eŽ›ù3·“ÏSlop‘ÿ}'eŽ˜«));‘±=·–ÿý«a“·±=ަ‘rŽ‘Ê:Ïse–ÿ}'c“ondŽ‘ nß«=‘Ç2Ž‘ ÿù·‘8àÏSlop‘ÿ}'eŽ‘2·‘8àÏv‘‰ffŽ‘®inter–ÿ}'c“eptŽ‘3Ÿb·–8à«((Ïax‘‰ffŽ‘®hŽ›ѽ±=«2Ž‘)“·“«(Ïax‘‰ffŽ‘®hŽ˜±=«2Ž‘));‘±=·–ÿý«b“·±=ަ‘rŽ‘Ê:Ïthir‘ÿ}'dŽ‘£‚«=‘Ç(((Ïax‘‰ffŽ‘®hŽ›ѽ±=«2Ž‘)–£·“«(Ïax‘‰ffŽ‘®hŽ˜±=«2Ž‘))“·“«(Ïv‘‰ffŽ‘®inter–ÿ}'c“eptŽ›/»E·“Ïv‘‰ffŽ‘®inter–ÿ}'c“eptŽ˜«))“·“«(((Ïax‘‰ffŽ‘®vŽ›ž±=«2Ž‘)“·“«(Ïax‘‰ffŽ‘®vŽ˜±=«2Ž›))“·“«((Ïax‘‰ffŽ‘®hŽ‘ѽ±=«2Ž˜)“·“«(Ïax‘‰ffŽ‘®hŽ‘ѽ±=«2Ž˜)));ަ‘#±=·–ÿý«c“·±=ަ‘ÂreturnŽ‘7æ¼±rŽ‘<°Ð«;ަ‘ -·gŽŸÂ1133.‘ üGet‘ÕTcen®9ter.ŽŽŽŒ‹>ó Šn ý‘ì«318–­NON-ÂCONST‘ÕX­VERSION’õAÔ3DLDFPRÃŽG“·x«1134Ž €n ý•@PÂ1134.‘ üNon-const‘ÕTv®9ersion.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ +·gŽŸÂ1138.‘ üGet‘ÕTcen®9ter.ŽŽŽŒ‹Böš Šn ý‘ì«322–­NON-ÂCONST‘ÕX­VERSION’õAÔ3DLDFPRÃŽG“·x«1139Ž €n ý•@PÂ1139.‘ üNon-const‘ÕTv®9ersion.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¤ ‘ «[¬LDF‘T2002.11.10.«]Ž‘Y;Made–UUthis“function“ÂvirtualŽ‘(ã(«and“non-ÂinlineŽ‘4ó«.Ž¡‘ -[¬LDF‘T2003.05.09.«]Ž‘Y;Changed–UUreturn“v‘ÿqÇalue“from“ÂP•®9oin“tŽ‘"Dò«&Ž‘-aeto“ÂconstŽ‘!÷P•®9oin“tŽ‘@o”«&Ž‘H6².ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·Ž© ‘ -ÂvirtualŽ‘/ÔconstŽ‘M¸vP•®9oin“tŽ‘l¨«&Ž‘to1Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ’ ¬x«(‘ª¨);ŽŸÂ1135.Ž¡·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ަ‘ +[¬LDF‘T2003.05.09.«]Ž‘Y;Changed–UUreturn“v‘ÿqÇalue“from“ÂP•®9oin“tŽ‘"Dò«&Ž‘-aeto“ÂconstŽ‘!÷P•®9oin“tŽ‘@o”«&Ž‘H6².ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·Ž© ‘ +ÂvirtualŽ‘/ÔconstŽ‘M¸vP•®9oin“tŽ‘l¨«&Ž‘to1Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ’ ¬x«(‘ª¨);ŽŸÂ1140.Ž¡·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ަ‘ ÂconstŽ‘(*£P•®9oin“tŽ‘G@«&Ž‘Ná^ÂEllipseŽ‘qÊ;«::Ž‘xXyÏget‘‰ffŽ‘®c‘ÿ}'enterŽ’¤•À«(‘ª¨)ަ‘ ·fަ‘Ïc‘ÿ}'enterŽ‘0 ±:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);ަ‘ÂreturnŽ‘7æ¼Ïc‘ÿ}'enterŽ‘SðG«;ަ‘ -·gŽŸÂ1136.‘ üconst‘ÕTv®9ersion.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ -«[¬LDF‘T2002.11.10.«]Ž‘Y;Made–UUthis“function“ÂvirtualŽ‘(ã(«and“non-ÂinlineŽ‘4ó«.Ž¡ŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·ަ‘ -ÂvirtualŽ‘/ÔP•®9oin“tŽ‘N}qÏget‘‰ffŽ‘®c‘ÿ}'enterŽ‘zº¸«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŸÂ1137.Ž¡·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ަ‘ +·gŽŸÂ1141.‘ üconst‘ÕTv®9ersion.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¦‘ +«[¬LDF‘T2002.11.10.«]Ž‘Y;Made–UUthis“function“ÂvirtualŽ‘(ã(«and“non-ÂinlineŽ‘4ó«.Ž¡ŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·ަ‘ +ÂvirtualŽ‘/ÔP•®9oin“tŽ‘N}qÏget‘‰ffŽ‘®c‘ÿ}'enterŽ‘zº¸«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŸÂ1142.Ž¡·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ަ‘ ÂP•®9oin“tŽ‘(ïžEllipseŽ‘KØ{«::‘Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ‘-=K«(‘ª®)‘UUÂconstŽŽ¦‘ ·fަ‘ÂP•®9oin“tŽ‘2pŽ‘7÷Ÿ«(Ïc‘ÿ}'enterŽ‘ ‹«);Ž¡‘±pŽ‘:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);ަ‘ÂreturnŽ‘7æ¼±pŽ‘<;ަ‘ -·gޤÂ1138.‘ üGet‘ÕTfoQÇcus.Ž¡1139.‘ üNon-const‘ÕTv®9ersion.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ -«[¬LDF‘T2003.07.25.«]Ž‘Y;Added–UUthis“function.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·ަ‘ -ÂconstŽ‘(*£P•®9oin“tŽ‘G@«&Ž‘Ná^Ïget‘‰ffŽ‘®fo‘ÿ}'cusŽ‘v"ï«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«);ŽŽŽŒ‹? Šn ý‘ì·x«1140–­3DLDFPRÃŽG’õAÔNON-ÂCONST‘ÕX­VERSION“«319Ž €n ý•@PÂ1140.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ޤ ‘ +·gޤÂ1143.‘ üGet‘ÕTfoQÇcus.Ž¡1144.‘ üNon-const‘ÕTv®9ersion.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¦‘ +«[¬LDF‘T2003.07.25.«]Ž‘Y;Added–UUthis“function.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·ަ‘ +ÂconstŽ‘(*£P•®9oin“tŽ‘G@«&Ž‘Ná^Ïget‘‰ffŽ‘®fo‘ÿ}'cusŽ‘v"ï«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«);ŽŽŽŒ‹Cn Šn ý‘ì·x«1145–­3DLDFPRÃŽG’õAÔNON-ÂCONST‘ÕX­VERSION“«323Ž €n ý•@PÂ1145.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ޤ ‘ ÂconstŽ‘(*£P•®9oin“tŽ‘G@«&Ž‘Ná^ÂEllipseŽ‘qÊ;«::‘Ïget‘‰ffŽ‘®fo‘ÿ}'cusŽ‘(A•«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)Ž¡‘ ·fŽ¡‘ÂifŽ‘´ú«(±sŽ‘w·‘Ç«0Ž‘Ç)‘·fŽ¡‘Ïfo‘ÿ}'cus0Ž‘:³-±:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);Ž¡‘ÂreturnŽ‘Aæ½Ïfo‘ÿ}'cus0Ž‘^™ç«;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(±sŽ‘w·‘Ç«1Ž‘Ç)‘·fŽ¡‘Ïfo‘ÿ}'cus1Ž‘:³-±:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);Ž¡‘ÂreturnŽ‘Aæ½Ïfo‘ÿ}'cus1Ž‘^™ç«;Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘Ïc‘ÿ}'errŽ‘3ôâ·‘?9Ý"ERROR!È ÝInÈ Ý|Ellipse:Ž‘l>ý:get_focus()|:\n"Ž’ÉDk·‘?9Ý"InvalidÈ Ýargument:È Ý"Ž‘pž·‘?9±sŽ‘ .r·‘?9Ïend‘‚ØlŽ‘p4·Ž¡‘2Ý"ValidÈ ÝargumentsÈ ÝareŽ’šÿÉÈ Ý0È ÝandÈ Ý1.\n"Ž’ÝM%·‘ÇÝ"ReturningÈ ÝINVALID_PŽ‘kÆÜOINT.\n\n"Ž’£”>·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_POINTŽ’†¬þ«;Ž¡‘·gŽ¡‘ -gŽŸÂ1141.‘ üconst‘ÕTv®9ersion.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.07.25.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·Ž¡‘ -ÂP•®9oin“tŽ‘(ïžÏget‘‰ffŽ‘®fo‘ÿ}'cusŽ‘P1/«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹@ ¦ Šn ý‘ì«320–ÂCONST‘ÕX­VERSION’ ol3DLDFPRÃŽG“·x«1142Ž €n ý•@PÂ1142.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ޤ ‘ +gŽŸÂ1146.‘ üconst‘ÕTv®9ersion.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.07.25.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·Ž¡‘ +ÂP•®9oin“tŽ‘(ïžÏget‘‰ffŽ‘®fo‘ÿ}'cusŽ‘P1/«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹Dƒ Šn ý‘ì«324–ÂCONST‘ÕX­VERSION’ ol3DLDFPRÃŽG“·x«1147Ž €n ý•@PÂ1147.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ޤ ‘ ÂP•®9oin“tŽ‘(ïžEllipseŽ‘KØ{«::‘Ïget‘‰ffŽ‘®fo‘ÿ}'cusŽ‘(A•«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂP•®9oin“tŽ‘2pŽ‘7÷Ÿ«;ަ‘ÂifŽ‘´ú«(±sŽ‘w·‘Ç«0Ž‘Ç)‘·fŽ¡‘±pŽ‘%Ï«=‘ÇÏfo‘ÿ}'cus0Ž‘zB«;Ž¡‘±pŽ‘#:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);Ž¡‘ÂreturnŽ‘Aæ½±pŽ‘F;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(±sŽ‘w·‘Ç«1Ž‘Ç)‘·fŽ¡‘±pŽ‘%Ï«=‘ÇÏfo‘ÿ}'cus1Ž‘zB«;Ž¡‘±pŽ‘#:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);Ž¡‘ÂreturnŽ‘Aæ½±pŽ‘F;Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘Ïc‘ÿ}'errŽ‘3ôâ·‘?9Ý"ERROR!È ÝInÈ Ý|Ellipse:Ž‘l>ý:get_focus()|:\n"Ž’ÉDk·‘?9Ý"InvalidÈ Ýargument:È Ý"Ž‘pž·‘?9±sŽ‘ .r·‘?9Ïend‘‚ØlŽ‘p4·Ž¡‘2Ý"ValidÈ ÝargumentsÈ ÝareŽ’šÿÉÈ Ý0È ÝandÈ Ý1.\n"Ž’ÝM%·‘ÇÝ"ReturningÈ ÝINVALID_PŽ‘kÆÜOINT.\n\n"Ž’£”>·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_POINTŽ’†¬þ«;Ž¡‘·gŽ¡‘ -gŽŸÂ1143.‘ üGet–ÕTlinear“eccen•®9tricit“y‘ÿ -«.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.07.25.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·Ž¡‘ -ÂrealŽ‘ ³/Ïget‘‰ffŽ–®line›ÿ}'ar‘‰ffŽ“e˜c˜c˜entricityŽ‘“Æ«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŸÂ1144.ަ·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·Ž¡‘ +gŽŸÂ1148.‘ üGet–ÕTlinear“eccen•®9tricit“y‘ÿ +«.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.07.25.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·Ž¡‘ +ÂrealŽ‘ ³/Ïget‘‰ffŽ–®line›ÿ}'ar‘‰ffŽ“e˜c˜c˜entricityŽ‘“Æ«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŸÂ1149.ަ·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·Ž¡‘ ÂrealŽ‘ ³/EllipseŽ‘Cœ «::‘Ïget‘‰ffŽ–®line›ÿ}'ar‘‰ffŽ“e˜c˜c˜entricityŽ‘_à›«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïline–ÿ}'ar‘‰ffŽ‘®e“c“c“entricityŽ’†“—«;Ž¡‘ -·gŽŸÂ1145.‘ üGet–ÕTnš®9umerical“eccen˜tricit˜y‘ÿ -«.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.07.27.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·Ž¡‘ -ÂrealŽ‘ ³/Ïget‘‰ffŽ–®numeric›ÿ}'al‘‰ffŽ“e˜c˜c˜entricityŽ’‘¸¹«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹A{ Šn ý‘ì·x«1146›­3DLDFPRÃŽG’Ì·ßGET–ÕXNUMERICAL“ECCENTRICITY˜«321Ž €n ý•@PÂ1146.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ޤ ‘ +·gŽŸÂ1150.‘ üGet–ÕTnš®9umerical“eccen˜tricit˜y‘ÿ +«.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.07.27.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·Ž¡‘ +ÂrealŽ‘ ³/Ïget‘‰ffŽ–®numeric›ÿ}'al‘‰ffŽ“e˜c˜c˜entricityŽ’‘¸¹«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹E- Šn ý‘ì·x«1151›­3DLDFPRÃŽG’Ì·ßGET–ÕXNUMERICAL“ECCENTRICITY˜«325Ž €n ý•@PÂ1151.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ޤ ‘ ÂrealŽ‘ ³/EllipseŽ‘Cœ «::‘Ïget‘‰ffŽ–®numeric›ÿ}'al‘‰ffŽ“e˜c˜c˜entricityŽ‘rŽ«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïnumeric–ÿ}'al‘‰ffŽ‘®e“c“c“entricityŽ’˜¸Š«;Ž¡‘ -·gŽŸÂ1147.‘ üGet‘ÕTaxes.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +·gŽŸÂ1152.‘ üGet‘ÕTaxes.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.07.20.«]Ž‘Z©?Rewrote–öYthe“ÂconstŽ‘$Áÿ«v¸ãersions“of“the“functions“in“this“section,‘^™and“added“non-ÂconstŽŽ¡«vš¸ãersions.‘_All–Vof“them“no˜w“c˜hec˜k“whether“·Ž‘WÏthisŽ‘&c«is“still“elliptical“using“Ïis‘‰ffŽ‘®el‘‚ØlipseŽ‘*M$«(‘ª®).‘_If“it“is,‘(‰the“v‘ÿqÇalue“Ïaxis‘‰ffŽ‘®vŽ‘!Š«orŽ¡Ïaxis‘‰ffŽ‘®hŽ‘·«should›½òha•¸ãv“e˜is˜recalculated,‘Øand˜this˜v‘ÿqÇalue˜is˜returned.‘«In˜the˜non-ÂconstŽ‘“?«v“ersions,‘ØÏaxis‘‰ffŽ‘®vŽ‘"[é«or˜Ïaxis‘‰ffŽ‘®hŽŽ¡«is–‰ºreset“to“the“new“v‘ÿqÇalue.‘õIf“·Ž‘‰»ÏthisŽ‘ÿ+«is“no“longer“elliptical,›–Óthe“function“returns“ÝINVALID_REALŽ‘Cþ«,˜and“Ïaxis‘‰ffŽ‘®hŽ‘" «orŽ¡Ïaxis‘‰ffŽ‘®vŽ‘3«is–UUset“to“ÝINVALID_REALŽ‘F0î«in“the“non-ÂconstŽ‘*¢«v¸ãersions.Ž¡‘ [¬LDF‘T2003.07.20.«]Ž‘X¸Ïaxis‘‰ffŽ‘®hŽ‘ul«and‘_ÒÏaxis‘‰ffŽ‘®vŽ‘…‚«are–_ÒupGdated“b¸ãy“the“transformation“functions,‘íand“these“are“presumablyŽ¡the–only“ones“that“could“cause“an“ÂEllipseŽ‘* ý«to“bGecome“non-elliptical.‘¤ýSo,‘@c•¸ãhec“king–and“recalculating“themŽ¡here–UUis“probably“redundan•¸ãt.‘qÇHo“w“ev“er,–UUthis“maš¸ãy“c˜hange,“so“it's“safer“to“do“this“here.Ž¡‘ -[¬LDF‘T2003.07.25.«]Ž‘XUþBUG‘¢ëFIX:‘£Ïaxis‘‰ffŽ‘®hŽ‘ ?½«and‘£Ïaxis‘‰ffŽ‘®vŽ‘ «wš¸ãere–£toGo“small“b˜y“half.‘6^No˜w“m˜ultiplying“b˜y“2“in“all“v˜ersionsŽ¡of‘UUÏget‘‰ffŽ–®axis‘‰ffŽ“hŽ‘.‚ž«(›ª®)–UUand“Ïget‘‰ffŽ–®axis‘‰ffŽ“vŽ‘.Nï«(˜).ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¤1148.‘ üGet–ÕTv®9ertical“axis.Ž¡1149.‘ üconst‘ÕTv®9ersion.ަ·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·ŽŸ ‘ -ÂrealŽ‘ ³/Ïget‘‰ffŽ–®axis‘‰ffŽ“vŽ‘K¬É«(‘ª®)‘UUÂconstŽ‘*¢«;Ž¡Â1150.ަ·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ޤ ‘ +[¬LDF‘T2003.07.25.«]Ž‘XUþBUG‘¢ëFIX:‘£Ïaxis‘‰ffŽ‘®hŽ‘ ?½«and‘£Ïaxis‘‰ffŽ‘®vŽ‘ «wš¸ãere–£toGo“small“b˜y“half.‘6^No˜w“m˜ultiplying“b˜y“2“in“all“v˜ersionsŽ¡of‘UUÏget‘‰ffŽ–®axis‘‰ffŽ“hŽ‘.‚ž«(›ª®)–UUand“Ïget‘‰ffŽ–®axis‘‰ffŽ“vŽ‘.Nï«(˜).ަŸüÈ„`ÕÁGŽŽ¤Â1153.‘ üGet–ÕTv®9ertical“axis.Ž¡1154.‘ üconst‘ÕTv®9ersion.ަ·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·ŽŸ ‘ +ÂrealŽ‘ ³/Ïget‘‰ffŽ–®axis‘‰ffŽ“vŽ‘K¬É«(‘ª®)‘UUÂconstŽ‘*¢«;Ž¡Â1155.ަ·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ޤ ‘ ÂrealŽ‘ ³/EllipseŽ‘Cœ «::‘Ïget‘‰ffŽ–®axis‘‰ffŽ“vŽ‘+ùž«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂifŽ‘´ú«(Ïis‘‰ffŽ‘®el‘‚Øliptic‘ÿ}'alŽ‘0ì–«(‘ª®))‘ÂreturnŽ‘(溫(2Ž‘8á·–8à«(Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(Ïnumb›ÿ}'er‘‰ffŽ–®of‘‰ffŽ“p˜ointsŽ‘JÀ©±=«4Ž‘)“·“Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ‘.v'«(–ª¨))±:ÏmagnitudeŽ‘.=r«(“));Ž¡‘ÂelseŽ‘+ØáreturnŽ‘O¿›ÝINVALID_REALŽ’Eß«;Ž¡‘ -·gŽŸÂ1151.‘ üNon-const‘ÕTv®9ersion.ަ·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·Ž¡‘ -ÂrealŽ‘ ³/Ïget‘‰ffŽ–®axis‘‰ffŽ“vŽ‘K¬É«(‘ª®);ŽŸÂ1152.ަ·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·Ž¡‘ +·gŽŸÂ1156.‘ üNon-const‘ÕTv®9ersion.ަ·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·Ž¡‘ +ÂrealŽ‘ ³/Ïget‘‰ffŽ–®axis‘‰ffŽ“vŽ‘K¬É«(‘ª®);ŽŸÂ1157.ަ·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·Ž¡‘ ÂrealŽ‘ ³/EllipseŽ‘Cœ «::‘Ïget‘‰ffŽ–®axis‘‰ffŽ“vŽ‘+ùž«(‘ª®)Ž¡‘ ·fŽ¡‘ÂifŽ‘´ú«(Ïis‘‰ffŽ‘®el‘‚Øliptic‘ÿ}'alŽ‘0ì–«(‘ª®))‘Ïaxis‘‰ffŽ‘®vŽ‘"Œö«=‘Ç((Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(Ïnumb›ÿ}'er‘‰ffŽ–®of‘‰ffŽ“p˜ointsŽ‘JÀ©±=«4Ž‘)–8à·“Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ‘.v'«(–ª¨))±:ÏmagnitudeŽ‘.=r«(“)–8à·“«2Ž‘8á);Ž¡‘ÂelseŽ‘+ØáÏaxis‘‰ffŽ‘®vŽ‘Ie׫=‘ÇÝINVALID_REALŽ‘BM\«;Ž¡‘ÂreturnŽ‘7æ¼Ïaxis‘‰ffŽ‘®vŽ‘R¬š«;Ž¡‘ -·gŽŸÂ1153.‘ üGet–ÕThorizon®9tal“axis.ŽŽŽŒ‹BN Šn ý‘ì«322–ÂCONST‘ÕX­VERSION’ ol3DLDFPRÃŽG“·x«1154Ž €n ý•@PÂ1154.‘ üconst‘ÕTv®9ersion.ޤ·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·Ž© ‘ -ÂrealŽ‘ ³/Ïget‘‰ffŽ–®axis‘‰ffŽ“hŽ‘Kàx«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŸÂ1155.Ž¡·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ަ‘ +·gŽŸÂ1158.‘ üGet–ÕThorizon®9tal“axis.ŽŽŽŒ‹Fª Šn ý‘ì«326–ÂCONST‘ÕX­VERSION’ ol3DLDFPRÃŽG“·x«1159Ž €n ý•@PÂ1159.‘ üconst‘ÕTv®9ersion.ޤ·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·Ž© ‘ +ÂrealŽ‘ ³/Ïget‘‰ffŽ–®axis‘‰ffŽ“hŽ‘Kàx«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŸÂ1160.Ž¡·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ަ‘ ÂrealŽ‘ ³/EllipseŽ‘Cœ «::‘Ïget‘‰ffŽ–®axis‘‰ffŽ“hŽ‘,-M«(‘ª®)‘UUÂconstŽŽ¦‘ ·fަ‘ÂifŽ‘´ú«(Ïis‘‰ffŽ‘®el‘‚Øliptic‘ÿ}'alŽ‘0ì–«(‘ª®))‘ÂreturnŽ‘(溫((Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(0Ž‘)–8à·“Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ‘.v'«(–ª¨))±:ÏmagnitudeŽ‘.=r«(“)–8à·“«2Ž‘8á);ަ‘ÂelseŽ‘+ØáreturnŽ‘O¿›ÝINVALID_REALŽ’Eß«;ަ‘ -·gŽŸÂ1156.‘ üNon-const‘ÕTv®9ersion.Ž¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·ަ‘ -ÂrealŽ‘ ³/Ïget‘‰ffŽ–®axis‘‰ffŽ“hŽ‘Kàx«(‘ª®);ŽŸÂ1157.Ž¡·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ަ‘ +·gŽŸÂ1161.‘ üNon-const‘ÕTv®9ersion.Ž¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·ަ‘ +ÂrealŽ‘ ³/Ïget‘‰ffŽ–®axis‘‰ffŽ“hŽ‘Kàx«(‘ª®);ŽŸÂ1162.Ž¡·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ަ‘ ÂrealŽ‘ ³/EllipseŽ‘Cœ «::‘Ïget‘‰ffŽ–®axis‘‰ffŽ“hŽ‘,-M«(‘ª®)ަ‘ ·fަ‘ÂifŽ‘´ú«(Ïis‘‰ffŽ‘®el‘‚Øliptic‘ÿ}'alŽ‘0ì–«(‘ª®))‘Ïaxis‘‰ffŽ‘®hŽ‘"À¥«=‘Ç(Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(0Ž‘)–8à·“Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ‘.v'«(–ª¨))±:ÏmagnitudeŽ‘.=r«(“)–8à·“«2Ž‘8á;ަ‘ÂelseŽ‘+ØáÏaxis‘‰ffŽ‘®hŽ‘I™†«=‘ÇÝINVALID_REALŽ‘BM\«;ަ‘ÂreturnŽ‘7æ¼Ïaxis‘‰ffŽ‘®hŽ‘RàI«;ަ‘ -·gŽŸÂ1158.– üAngle‘èpQÇoin®9t.“Ïangle‘‰ffŽ‘®p‘ÿ}'ointŽ‘<Ù¹«(‘ª®)–ežreturns“a“pGoinš¸ãt“on“the“ellipse“giv˜en“an“angle.‘¢¡E ectiv˜ely‘ÿ*ª,‘i°Ïp‘ÿ}'ointŽ‘˜<«[0Ž‘]“isަrotated–† abGout“the“cenš¸ãter“in“the“plane“of“the“ellipse“and“the“in˜tersection“of“the“ra˜y“from“the“cen˜ter“throughަÏp‘ÿ}'ointŽ‘.Œ«[0Ž‘]–UUand“the“ellipse“is“returned.ަ‘ -[¬LDF‘T2003.07.27.«]Ž‘Y;TO–UUDO:“T‘ÿ*ªry“to“get“the“rotation“to“alw•¸ãa“ys–UUgo“in“the“direction“I“wš¸ãould“lik˜e.ŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ +·gŽŸÂ1163.– üAngle‘èpQÇoin®9t.“Ïangle‘‰ffŽ‘®p‘ÿ}'ointŽ‘<Ù¹«(‘ª®)–ežreturns“a“pGoinš¸ãt“on“the“ellipse“giv˜en“an“angle.‘¢¡E ectiv˜ely‘ÿ*ª,‘i°Ïp‘ÿ}'ointŽ‘˜<«[0Ž‘]“isަrotated–† abGout“the“cenš¸ãter“in“the“plane“of“the“ellipse“and“the“in˜tersection“of“the“ra˜y“from“the“cen˜ter“throughަÏp‘ÿ}'ointŽ‘.Œ«[0Ž‘]–UUand“the“ellipse“is“returned.ަ‘ +[¬LDF‘T2003.07.27.«]Ž‘Y;TO–UUDO:“T‘ÿ*ªry“to“get“the“rotation“to“alw•¸ãa“ys–UUgo“in“the“direction“I“wš¸ãould“lik˜e.ŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¦‘ «[¬LDF‘T2003.07.01.«]Ž‘YvBUG‘à FIX:–Ã)No¸ãw“returning“ÏbppŽ‘º±:Ï rstŽ‘µª±:ÏptŽ‘ §Æ«if“it's“not“equal“to“ÝINVALID_POINTŽ‘H‰j«.‘»COtherwise,ަÏbppŽ‘öé±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ Òm«is–íÐreturned.›;9The“latter“ma¸ãy“bGe“a“v‘ÿqÇalid“ÂP•®9oin“tŽ‘ˆ«,‘ïor“ÝINVALID_POINTŽ‘H´«.˜Before,‘ïÝINVALID_POINTŽŽ¦«w¸ãas–M*returned“if“ÏbppŽ›D±:Ï rstŽ‘µª±:bŽ‘—Ô«and“ÏbppŽ˜±:Ïse–ÿ}'c“ondŽ‘§Ç±:bŽ‘—Ô«w¸ãere“ÏfalseŽ‘ün«,›NÌbut“this“is“the“case,˜if“the“inš¸ãtersection“pGoin˜ts“didn'tަlie–UUon“the“line“segmenš¸ãt“bGet˜w˜een“Ïc‘ÿ}'enterŽ‘"´5«and“Ïpt0Ž‘¾«.ަ‘ BUG‘Œ‹FIX:–Œ™Noš¸ãw“c˜hec˜king“to“mak˜e“sure“that“the“in˜tersection“pGoin˜t“lies“in“the“propGer“direction.‘’No˜w“thatަthe–UUinš¸ãtersection“pGoin˜t“doGesn't“ha˜v˜e“to“bGe“on“the“line“segmen˜t,“it's“necessary“to“c˜hec˜k“this.ަ‘ [¬LDF‘T2003.07.20.«]Ž‘XŠ No¸ãw–×'using“Ïget‘‰ffŽ–®axis‘‰ffŽ“vŽ‘-ÐÁ«(›ª®)“and“Ïget‘‰ffŽ–®axis‘‰ffŽ“hŽ‘.p«(˜),‘ðcinstead“of“accessing“Ïaxis‘‰ffŽ‘®hŽ‘ §Û«and“Ïaxis‘‰ffŽ‘®vŽ‘ t,«directly‘ÿ*ª.ަ‘ -[¬LDF‘T2003.07.27.«]Ž‘Xé5Made‘6OÂconstŽ– œ«.›gpMade‘6OÏangleŽ‘,ñ«argumen¸ãt‘6OÂconstŽ“«.˜No¸ãw–6Ousing“Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ‘/s–«(‘ª®)“instead“of“Ïc‘ÿ}'enterŽ‘?Ú«.Ž¡ŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·ަ‘ -ÂP•®9oin“tŽ‘(ïžÏangle‘‰ffŽ‘®p‘ÿ}'ointŽ‘ZI[«(ÂconstŽ‘*¢realŽ‘4ÝÐÏangleŽ‘Lž#«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹C+( Šn ý‘ì·x«1159–­3DLDFPRÃŽG’ {ANGLE‘ÕXPOINT“«323Ž €n ý•@PÂ1159.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ޤ ‘ +[¬LDF‘T2003.07.27.«]Ž‘Xé5Made‘6OÂconstŽ– 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o«=‘ÇÏget‘‰ffŽ‘®normalŽ‘3QŒ«(‘ª¨);ަ‘ÏnormalŽ‘4Vº±:ÏshiftŽ‘}«(ÏCenterŽ‘œ«);ަ‘ÂP•®9oin“tŽ‘2ïŸÏpt0Ž‘Eò«=‘ÇÏget‘‰ffŽ‘®p‘ÿ}'ointŽ‘*)`«(0Ž‘);ަ‘Ïpt0Ž‘&0U·«=ŽŽ‘8…©ÏCenterŽ‘W E«;Ž¡‘Ïpt0Ž‘#i=±:Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘0•u«(Ïtrueޑƫ);Ž¡‘Ïpt0Ž‘&0U·«=ŽŽ‘5¾ŒÏmaxŽ‘Ic'«(Ïget‘‰ffŽ–®axis‘‰ffŽ“hŽ‘+-I«(–ª¨)±;“Ïget‘‰ffŽ–®axis‘‰ffŽ“vŽ‘,¤B«(“))±=«2Ž‘;Ž¡‘±=·‘ÿý«[¬LDF‘T2002.11.06.«]Ž‘T7Ïpt0Ž‘fÆÇ«will–UUeither“lie“on“the“pšGerimeter“of“the“ÂEllipseŽ‘(“ƒ«or“b˜ey¸ãond“it.‘o·±=Ž¡‘Ïpt0Ž‘#i=±:ÏshiftŽ‘}«(ÏCenterŽ‘œ«);Ž¡‘Ïpt0Ž‘#i=±:Ïr‘ÿ}'otateŽ‘o>«(ÏCenterŽ‘œ±;‘ª¨ÏnormalŽ‘"`±;‘ª¨ÏangleŽ‘jû«);ަ‘Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘edðÏbppŽ‘x"ñ«=‘ÇÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘TS÷«(ÏCenterŽ‘œ±;‘ª¨Ïpt0Ž‘ã«);Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏdir–ÿ}'e“ction‘‰ffŽ‘®lineŽ‘mj«(Ïpt0Ž‘¢·‘8àÏCenterŽ‘!S|«);ަ‘Ïdir–ÿ}'e“ction‘‰ffŽ‘®lineŽ‘N{%±:Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘0•u«(Ïtrueޑƫ);ަ‘ÂP•®9oin“tŽ‘2ïŸÏdir–ÿ}'e“ction‘‰ffŽ‘®ptŽ‘f4«;ަ‘ÂifŽ‘´ú«(ÏbppŽ‘öé±:Ï rstŽ‘µª±:ÏptŽ‘ «µ·6«=‘ÇÝINVALID_POINTŽ‘GY«)‘·fŽ¡‘Ïdir–ÿ}'e“ction‘‰ffŽ‘®ptŽ‘T «=‘ÇÏbppŽ‘¾±:Ï 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ne“thisŽ¡function.ަ·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·Ž¡«#ÂifŽ‘ ´ø«0ŽŽ¡‘ +ÂvirtualŽ‘/Ôb•QÇo“olŽ‘I/:opQÇeratorŽ‘tÅï·Ž‘| «(ÂconstŽ‘*¢EllipseŽ‘ChЫ&Ž‘K/î±eŽ‘O×ï«);Ž¡#ÂendifŽŽŽŽŒ‹H;– Šn ý‘ì«328–­EQUALITY’/ÃC3DLDFPRÃŽG“·x«1166Ž €n ý•@PÂ1166.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ޤ «#ÂifŽ‘ ´ø«0ŽŽ¡‘ ÂvirtualŽ‘/Ôb•QÇo“olŽ‘I/:EllipseŽ‘l«::Ž‘r¦UÂopQÇeratorŽ’ž= ·Ž’¦(«(ÂconstŽ‘*¢EllipseŽ‘ChЫ&Ž‘K/î±eŽ‘O×ï«)Ž¡‘ -·f‘ª¨gŽ¡«#ÂendifŽŽŸ1162.‘ üLošQÇcation–ÕTof“a“p˜oin®9t.‘ ü«[¬LDF‘T2003.07.25.«]Ž‘Zˆ6This–UUfunction“o•¸ãv“erloadsŽ¡ÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘i÷œ«::‘Ïlo–ÿ}'c“ationŽ‘#Á«(‘ª®).‘=³It's–¹simpler,‘ØWbšGecause“it“do˜esn't“need“to“cop¸ãy“the“ÂEllipseŽ‘'[«and“transformŽ¡the–UUcopš¸ãy“in˜to“a“ma‘Ž8jor“plane.‘qÇNor“doGes“it“require“the“use“of“ÏsolveŽ‘ «(‘ª®).Ž¡‘ +·f‘ª¨gŽ¡«#ÂendifŽŽŸ1167.‘ üLošQÇcation–ÕTof“a“p˜oin®9t.‘ ü«[¬LDF‘T2003.07.25.«]Ž‘Zˆ6This–UUfunction“o•¸ãv“erloadsŽ¡ÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘i÷œ«::‘Ïlo–ÿ}'c“ationŽ‘#Á«(‘ª®).‘=³It's–¹simpler,‘ØWbšGecause“it“do˜esn't“need“to“cop¸ãy“the“ÂEllipseŽ‘'[«and“transformŽ¡the–UUcopš¸ãy“in˜to“a“ma‘Ž8jor“plane.‘qÇNor“doGes“it“require“the“use“of“ÏsolveŽ‘ «(‘ª®).Ž¡‘ [¬LDF‘T2003.07.25.«]Ž‘Y&ZIf–stthe“ÂP•®9oin“tŽ‘"0«argumen¸ãt“±P‘׫lies“in“the“same“plane“as“·Ž‘suÏthisŽ‘_+«,‘zûÏlo–ÿ}'c“ationŽ‘&.«.Ž¡-1Ž‘ UV±m–Ç>“d«.‘qDZP‘¸ä«lies–UUoutside“the“ÂEllipseŽ‘%>.«.Ž¡1Ž‘ UV±m–Ç<“d«.‘qDZP‘¸ä«lies–UUinside“the“pGerimeter“of“the“ÂEllipseŽ‘%>.«.Ž¡-2Ž‘ UV±P‘¸ä«is–UUnot“in“the“same“plane“as“the“ÂEllipseŽ‘%>.«.Ž¡-3Ž‘ UVThe‘UUÂEllipseŽ‘(“ƒ«is‘UUnon-elliptical.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ -«[¬LDF‘T2003.07.25.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·Ž¡‘ -ÂvirtualŽ‘/ÔsignedŽ‘RýÊshortŽ‘pÈmÏlo–ÿ}'c“ationŽ’“‰ê«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹ECá Šn ý‘ì·x«1163›­3DLDFPRÃŽG’øãLOCA‘ÿJªTION–ÕXOF“A“POINT˜«325Ž €n ý•@PÂ1163.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ޤ ‘ +[¬LDF‘T2003.07.25.«]Ž‘ZßLLet–,f±m“«stand“for“(±PŽ› B·‘rêÏfo‘ÿ}'cus0Ž‘ &«)±:ÏmagnitudeŽ‘.=r«(‘ª¨)–rê+“(±PŽ˜·“Ïfo‘ÿ}'cus0Ž‘ &«)±:ÏmagnitudeŽ‘.=r«(‘ª¨),‘¢*±d–,f«for“2Ž‘ ŸQ·Ž¡ÏmaxŽ‘¤›«(Ïaxis‘‰ffŽ‘®hŽ‘ù±;‘ª¨Ïaxis‘‰ffŽ‘®vŽ‘p†«),–UUand“±“«for“ÂP•®9oin“tŽ‘ï¡«::‘ÏepsilonŽ‘ o«(‘ª®).‘qÇThe“return“v‘ÿqÇalues“are“as“follo¸ãws:ޤ0Ž‘ UV·j±m–8à·“±d·j–DZ<“«.‘qDZP‘¸ä«lies–UUon“the“pGerimeter“of“the“ÂEllipseŽ‘%>.«.Ž¡-1Ž‘ UV±m–Ç>“d«.‘qDZP‘¸ä«lies–UUoutside“the“ÂEllipseŽ‘%>.«.Ž¡1Ž‘ UV±m–Ç<“d«.‘qDZP‘¸ä«lies–UUinside“the“pGerimeter“of“the“ÂEllipseŽ‘%>.«.Ž¡-2Ž‘ UV±P‘¸ä«is–UUnot“in“the“same“plane“as“the“ÂEllipseŽ‘%>.«.Ž¡-3Ž‘ UVThe‘UUÂEllipseŽ‘(“ƒ«is‘UUnon-elliptical.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¤ ‘ +«[¬LDF‘T2003.07.25.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·Ž¡‘ +ÂvirtualŽ‘/ÔsignedŽ‘RýÊshortŽ‘pÈmÏlo–ÿ}'c“ationŽ’“‰ê«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹IEè Šn ý‘ì·x«1168›­3DLDFPRÃŽG’øãLOCA‘ÿJªTION–ÕXOF“A“POINT˜«329Ž €n ý•@PÂ1168.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ޤ ‘ ÂsignedŽ‘-o÷shortŽ‘K:šEllipseŽ‘n#w«::‘Ïlo–ÿ}'c“ationŽ‘#Á«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·–ÿý«true“·±=Ž¡‘ÂrealŽ‘*³0Ïax‘‰ffŽ‘®hŽ‘AL«=‘ÇÏget‘‰ffŽ–®axis‘‰ffŽ“hŽ‘-ôa«(‘ª¨);Ž¡‘ÂrealŽ‘*³0Ïax‘‰ffŽ‘®vŽ‘AV«=‘ÇÏget‘‰ffŽ–®axis‘‰ffŽ“vŽ‘-À²«(‘ª¨);ަ‘ÂifŽ‘´ú«(Ïax‘‰ffŽ‘®hŽ‘˜Õ·‘ÇÝINVALID_REALŽ‘D†<·_‘8àÏax‘‰ffŽ‘®vŽ‘ž·‘ÇÝINVALID_REALŽ‘BM\«)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘8÷f·‘A½Ý"ERROR!È ÝInÈ ÝEllipse::Ž‘qAlocation():\n"Ž’Ã‰|·Ž¡‘2Ý"EllipseÈ ÝisÈ Ýnon-elliŽ’šÿÉptical.È ÝReturningÈ Ý-3Ž’ÿ.\n\n"Ž’&Ìû·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½·Ž‘I­Û«3Ž‘N­Ü;Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(·:±pŽ‘:Ïis‘‰ffŽ–®on‘‰ffŽ“planeŽ‘1‚Ú«(Ïget‘‰ffŽ‘®planeŽ‘(vè«(‘ª¨)))‘·fŽ¡‘Ïc‘ÿ}'errŽ‘8²z·‘üÑÝ"WARNING!È ÝInÈ ÝEllipseŽ‘pü•::location():\n"Ž’Íž·Ž¡‘2Ý"PointÈ Ýdoesn'tÈ ÝlieÈ ÝiŽ’šÿÉnÈ ÝplaneÈ ÝofÈ ÝEllipse.\Ž’ÿn"Ž’Í·‘ÇÝ"ReturningÈ Ý-2.\n\n"Ž‘iÔ_·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½·Ž‘I­Û«2Ž‘N­Ü;Ž¡‘·gަ‘ÂrealŽ‘*³0Ïmax‘‰ffŽ‘®axŽ‘NŒó«=‘ÇÏmaxŽ‘k³«(Ïax‘‰ffŽ‘®hŽ‘ѽ±;‘ª¨Ïax‘‰ffŽ‘®vŽ‘H¶«);Ž¡‘ÂP•®9oin“tŽ‘2qŽ‘:‰a«=‘DZpŽ‘ ø·‘8àÏget‘‰ffŽ‘®fo‘ÿ}'cusŽ‘)zq«(0Ž‘);Ž¡‘ÂrealŽ‘*³0ÏmagŽ‘@Ã&«=‘DZqŽ‘™Â:ÏmagnitudeŽ‘.=r«(‘ª¨);ަ‘±qŽ‘™Ä«=‘DZpŽ‘ ø·‘8àÏget‘‰ffŽ‘®fo‘ÿ}'cusŽ‘)zq«(1Ž‘);Ž¡‘ÏmagŽ‘*ø«+=ŽŽ‘‘ÇÏmax‘‰ffŽ‘®axŽ‘#Ùë)‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"PointÈ ÝliesÈ ÝoutsideÈ Ž‘kÆÜÝofÈ ÝperimeterÈ ÝofÈ Ý|EllŽ’ÔÆ ipse|.\n"Ž’Œí«;Ž¡‘ÂreturnŽ‘Aæ½·Ž‘I­Û«1Ž‘N­Ü;Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"PointÈ ÝliesÈ ÝinsideÈ ÝoŽ‘kÆÜfÈ ÝperimeterÈ ÝofÈ Ý|ElliŽ’ÔÆ pse|.\n"Ž’ÿLð«;Ž¡‘ÂreturnŽ‘A潫1Ž‘Fæ¾;Ž¡‘·gŽ¡‘ -gޤÂ1164.‘ üIn•®9tersection‘ÕTpQÇoin“ts.Ž¡1165.‘ üP•®9oin“t‘ÕTargumen“ts.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ -«[¬LDF‘T2003.07.27.«]Ž‘Y;Made–UUthe“argumen¸ãts“ÂconstŽ‘!÷P•®9oin“tŽ‘@o”«&Ž‘H6².ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·Ž¡‘ -ÂvirtualŽ‘/Ôb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ’€òÂÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ’Ò¡«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]Ïp0Ž‘Pø±;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒÏp1Ž‘R¢Å«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹FL¥ Šn ý‘ì«326›ÂPOINT‘ÕX­AR•ÃŽGUMENTS’üÛÍ3DLDFPR“G˜·x«1166Ž €n ý•@PÂ1166.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ޤ ‘ +gޤÂ1169.‘ üIn•®9tersection‘ÕTpQÇoin“ts.Ž¡1170.‘ üP•®9oin“t‘ÕTargumen“ts.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¤ ‘ +«[¬LDF‘T2003.07.27.«]Ž‘Y;Made–UUthe“argumen¸ãts“ÂconstŽ‘!÷P•®9oin“tŽ‘@o”«&Ž‘H6².ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·Ž¡‘ +ÂvirtualŽ‘/Ôb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ’€òÂÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ’Ò¡«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]Ïp0Ž‘Pø±;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒÏp1Ž‘R¢Å«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹JN Šn ý‘ì«330›ÂPOINT‘ÕX­AR•ÃŽGUMENTS’üÛÍ3DLDFPR“G˜·x«1171Ž €n ý•@PÂ1171.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ޤ ‘ Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘[dïEllipseŽ‘~MÌ«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘RŒã«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]Ïpt0Ž‘TJ˜±;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒÏpt1Ž‘Uõ@«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Regu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ’¡ÞX«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘RŒã«(Ïc‘ÿ}'enterŽ‘ ‹±;‘ª¨Ïpt0Ž–ã±;‘ª¨Ïpt1Ž“«);Ž¡‘ -·gŽŸÂ1167.› üP•®9ath‘adargumen“t.˜«This–ð„function“just“c•¸ãhec“ks–ð„to“bGe“sure“that“ÂP®9athŽ‘rl±pŽ‘&jð«is“a“line,‘®extracts“the“ÂP•®9oin“tsŽ‘#«,Ž¡and–UUcalls“the“vš¸ãersion“with“ÂP•®9oin“tŽ‘"Dò«argumen˜ts,“returning“the“latter's“return“v‘ÿqÇalue.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +·gŽŸÂ1172.› üP•®9ath‘adargumen“t.˜«This–ð„function“just“c•¸ãhec“ks–ð„to“bGe“sure“that“ÂP®9athŽ‘rl±pŽ‘&jð«is“a“line,‘®extracts“the“ÂP•®9oin“tsŽ‘#«,Ž¡and–UUcalls“the“vš¸ãersion“with“ÂP•®9oin“tŽ‘"Dò«argumen˜ts,“returning“the“latter's“return“v‘ÿqÇalue.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.07.09.«]Ž‘Y;Made‘UUÂvirtualŽ‘%Ó«.Ž¡‘ -[¬LDF‘T2003.07.27.«]Ž‘Y;Made–UUargumen¸ãt“±pŽ‘ ²ª«a“ÂconstŽ‘!÷P®9athŽ‘=f°«&Ž‘E-Î.‘qÇChanged,“so“that“Ïis‘‰ffŽ‘®line‘ÿ}'arŽ‘(jÒ«(‘ª®)“is“used,“andŽ¡Ïget‘‰ffŽ–®last‘‰ffŽ“p‘ÿ}'ointŽ‘:$>«(‘ª®)–UUrather“than“Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘*·«(1Ž‘).ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·Ž¡‘ -ÂvirtualŽ‘/Ôb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ’€òÂÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ’Ò¡«(ÂconstŽ‘*¢P®9athŽ‘:[«&Ž‘AØy±pŽ‘Fày«)‘UUÂconstŽ‘*¢«;ŽŸÂ1168.ަ·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·Ž¡‘ +[¬LDF‘T2003.07.27.«]Ž‘Y;Made–UUargumen¸ãt“±pŽ‘ ²ª«a“ÂconstŽ‘!÷P®9athŽ‘=f°«&Ž‘E-Î.‘qÇChanged,“so“that“Ïis‘‰ffŽ‘®line‘ÿ}'arŽ‘(jÒ«(‘ª®)“is“used,“andŽ¡Ïget‘‰ffŽ–®last‘‰ffŽ“p‘ÿ}'ointŽ‘:$>«(‘ª®)–UUrather“than“Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘*·«(1Ž‘).ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·Ž¡‘ +ÂvirtualŽ‘/Ôb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ’€òÂÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ’Ò¡«(ÂconstŽ‘*¢P®9athŽ‘:[«&Ž‘AØy±pŽ‘Fày«)‘UUÂconstŽ‘*¢«;ŽŸÂ1173.ަ·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·Ž¡‘ Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘[dïEllipseŽ‘~MÌ«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘RŒã«(ÂconstŽ‘*¢P®9athŽ‘:[«&Ž‘AØy±pŽ‘Fày«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂifŽ‘´ú«(·:±pŽ‘:Ïis‘‰ffŽ‘®line‘ÿ}'arŽ‘%}«(‘ª¨))‘·fŽ¡‘Ïc‘ÿ}'errŽ‘6D·‘K›Ý"ERROR!È ÝInÈ ÝEllipse::Ž‘nK_intersection_points(Ž’×K#constÈ ÝPath&):\n"Ž’1ö·Ž¡‘2Ý"PathÈ ÝargumentÈ ÝisÈ ÝnoŽ’šÿÉn-linear.\n"Ž’ÞÁ·‘´Ý"Haven'tÈ ÝprogrammedÈ Ž‘lxÝthisÈ ÝcaseÈ Ýyet.\n"Ž’ÉÅa·Ž¡‘2Ý"ReturningÈ ÝINVALID_BŽ’šÿÉOOL_POINT_PAIR."Ž’òM·‘ÇÏend‘‚ØlŽ–ò·‘ÇÏend‘‚ØlŽ“·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_BOOL_POINT_PAIRŽ’»,à«;Ž¡‘·gŽ¡‘ÂreturnŽ‘7æ¼Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ’‰s›«(±pŽ‘:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(0Ž‘)±;‘ª¨pŽ‘²¨:Ïget‘‰ffŽ–®last‘‰ffŽ“p‘ÿ}'ointŽ‘:$>«(‘ª¨));Ž¡‘ -·gŽŸÂ1169.– üEllipse‘ÕTargumen®9t.“«TO–UUDO:“Read“through“and“explain.‘qÇ[¬LDF‘T2002.11.06.«]ŽŽ¡‘ +·gŽŸÂ1174.– üEllipse‘ÕTargumen®9t.“«TO–UUDO:“Read“through“and“explain.‘qÇ[¬LDF‘T2002.11.06.«]ŽŽ¡‘ TO–UUDO:“[¬LDF‘T2003.07.20.«]Ž‘R]The“folloš¸ãwing“coGde“found“only“one“in˜tersection:ަ#ÂifŽ‘ ´ø«0ŽŽ¡‘ ÂEllipseŽ‘/>/±tŽ‘2Ú¡«(ÏoriginŽ‘ö!±;‘ª¨«5Ž–ª©±;‘ª¨«4Ž“±;‘ª¨«90ŽŽ‘ ªª);Ž¡‘ ÂCircleŽ‘+¸‚±cŽ‘0 ]«(ÏoriginŽ‘ö!±;‘ª¨«3Ž‘ª©±;‘ª¨«90ŽŽ‘ ªª);ަ‘ ±cŽ‘SÜ:ÏshiftŽ‘}«(3Ž‘);Ž¡‘ ±cŽ‘SÜ:Ïr‘ÿ}'otateŽ‘o>«(0Ž‘±;‘ª¨«0Ž‘ª©±;‘ª¨«30ŽŽ‘ ªª);ަ‘ -Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜quadrupleŽ‘yæ¬Ïbp‘ÿ}'qŽ’‹ßà«=‘DZtŽ‘cŠ:Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘QŒß«(±cŽ‘SÛ«);Ž¡#ÂendifŽŽŽŽŒ‹GYY Šn ý‘ì·x«1170›­3DLDFPR•ÃŽG’÷âòÂELLIPSE‘ÕX­AR“GUMENT˜«327Ž €n ý•@PÂ1170.‘ ü«[¬LDF‘T2003.07.20.«]Ž‘ZWhen‘Õ7±cŽ‘ þI«wš¸ãas–Õ7rotated“b˜y“15Ÿü^ÿºŽ‘n«or“45Ÿü^ÿºŽ‘˜ä«,‘î×Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘T{¶«(‘ª®)“found“bGoth“in˜tersections.ޤ T‘ÿ*ªry–o}to“ nd“out“wh•¸ãy!‘À?I‘ovw“an“t–o}to“write“a“ÂCircleŽ‘%B&«vš¸ãersion“with“an“ÂEllipseŽ‘(ÇÓ«argumen˜t,‘vand“vice“v˜ersa.‘À?If“I‘ovdo,‘vIŽ¡maš¸ãy–UUnot“ha˜v˜e“to“w˜orry“abGout“this“problem.Ž¡‘ +Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜quadrupleŽ‘yæ¬Ïbp‘ÿ}'qŽ’‹ßà«=‘DZtŽ‘cŠ:Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘QŒß«(±cŽ‘SÛ«);Ž¡#ÂendifŽŽŽŽŒ‹K[ + Šn ý‘ì·x«1175›­3DLDFPR•ÃŽG’÷âòÂELLIPSE‘ÕX­AR“GUMENT˜«331Ž €n ý•@PÂ1175.‘ ü«[¬LDF‘T2003.07.20.«]Ž‘ZWhen‘Õ7±cŽ‘ þI«wš¸ãas–Õ7rotated“b˜y“15Ÿü^ÿºŽ‘n«or“45Ÿü^ÿºŽ‘˜ä«,‘î×Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘T{¶«(‘ª®)“found“bGoth“in˜tersections.ޤ T‘ÿ*ªry–o}to“ nd“out“wh•¸ãy!‘À?I‘ovw“an“t–o}to“write“a“ÂCircleŽ‘%B&«vš¸ãersion“with“an“ÂEllipseŽ‘(ÇÓ«argumen˜t,‘vand“vice“v˜ersa.‘À?If“I‘ovdo,‘vIŽ¡maš¸ãy–UUnot“ha˜v˜e“to“w˜orry“abGout“this“problem.Ž¡‘ If–y¼the“Ïverb‘ÿ}'oseŽ‘'„Õ«argumenš¸ãt“is“ÏtrueŽ‘>T«,‘‚Õinformation“abGout“the“in˜tersection“pGoin˜ts“is“prin˜ted“to“standard“output.Ž¡[¬LDF‘T2003.07.01.«]ŽŽ¡‘ -If–æthe“ÂEllipsesŽ‘.™á«are“coplanar,‘CŠthe“inš¸ãtersection“pGoin˜ts“of“the“pGerimeters“of“the“ÂEllipsesŽ‘.™á«are“returned.‘­{IfŽ¡the–A9planes“of“the“ÂEllipsesŽ‘,ô‡«are“p•Gerp“endicular–A9or“skš¸ãew,‘E>the“in˜tersection“line“of“the“planes“is“found.‘kThen,‘E>theŽ¡in•¸ãtersection›UUpGoin“ts˜of˜the˜this˜line˜with˜the˜ÂEllipsesŽ‘)Çj«,˜if˜they˜exist.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +If–æthe“ÂEllipsesŽ‘.™á«are“coplanar,‘CŠthe“inš¸ãtersection“pGoin˜ts“of“the“pGerimeters“of“the“ÂEllipsesŽ‘.™á«are“returned.‘­{IfŽ¡the–A9planes“of“the“ÂEllipsesŽ‘,ô‡«are“p•Gerp“endicular–A9or“skš¸ãew,‘E>the“in˜tersection“line“of“the“planes“is“found.‘kThen,‘E>theŽ¡in•¸ãtersection›UUpGoin“ts˜of˜the˜this˜line˜with˜the˜ÂEllipsesŽ‘)Çj«,˜if˜they˜exist.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.04.12.«]Ž‘Xd´Actually‘ÿ*ª,‘Òƒit–±ÎloGoks“as“if“the“equations“Dr.“Sc•¸ãh“w“ardmann›±Îga“v“e˜me˜w“on't˜do˜the˜tric“k.‘;ETheyŽ¡assume–ŠºbšGoth“ellipses“are“cen¸ãtered“ab˜out“the“origin.‘÷When“I‘Š­tried“to“ha•¸ãv“e–ŠºMathematica“solv¸ãe“the“equationsŽ¡for‘•ƒ±xŸü^ÿ®2Ž›|s±=aŸü^ÿ®2Ž‘à«+–c©±y[ÙŸü^ÿ®2Ž‘ØL±=bŸü^ÿ®2Ž‘®‚«=‘2(±x“·“±m«)Ÿü^ÿ®2Ž˜±=cŸü^ÿ®2Ž‘à«+“(±y‘¿‚·“±n«)Ÿü^ÿ®2Ž˜±=dŸü^ÿ®2Ž˜«,‘¥Mathematica–•ƒprošGduced“solutions“that“to˜ok“up“o•¸ãv“er‘•ƒ35,000Ž¡lines–UUof“text!Ž¡‘ [¬LDF‘T2002.04.12.«]Ž‘Y8±I'v¸ãe–…Ërewritten“the“other“cases“(parallel,›‘èp•Gerp“endicular,˜and–…Ësk¸ãew)“in“this“function“com-Ž¡pletely‘ÿ*ª,‘áŸand–ıit“seems“likš¸ãe“it“w˜asn't“really“w˜orth“the“e ort.‘A‘The“new“v˜ersion“doGes“ho˜w˜ev˜er“mak˜e“use“of“ÂPlanesŽŽ¡«and‘sÒÂLinesŽ‘U‘«,›{qwhic¸ãh–sÒis“not“a“bad“thing,˜and“it“c•¸ãhec“ks–sÒwhether“the“in¸ãtersection“ÂP•®9oin“tsŽ‘' («are“on“the“ÂEllipseŽ‘%\««,˜soŽ¡it–UUw¸ãasn't“a“total“loss.Ž¡‘ [¬LDF‘T2002.04.12.«]Ž‘X¾}I'vš¸ãe– —written“to“Dr.“Sc˜h˜w˜ardmann“and“ask˜ed“him“abGout“this“problem.‘Y3It“ma˜y“just“bGe“m˜yŽ¡ignorance,‘?por–9÷pGerhaps“I'vš¸ãe“o˜v˜erloGok˜ed“something“simple.‘h¨I'm“not“tošGo“hop˜eful,›?pho•¸ãw“ev“er,˜so–9÷I'll“probably“ha•¸ãv“eŽ¡to–UUimplemenš¸ãt“the“n˜umerical“solution“I'd“started,“after“all.Ž¡‘ @@ -4217,19 +4278,19 @@ [¬LDF‘T2003.07.01.«]Ž‘Y;Added‘UUÏverb‘ÿ}'oseŽ‘'<«argumen¸ãt.Ž¡‘ [¬LDF‘T2003.07.01.«]Ž‘Y&ÍChanged›sç\p•Gerp“endicular˜and˜sk¸ãew˜case".‘Í|Debugged˜coplanar˜case,‘{‹where˜the˜ÂEllipsesŽŽ¡«don't›UUha•¸ãv“e˜the˜same˜cen“ters˜and/or˜axis˜orien“tation.Ž¡‘ [¬LDF‘T2003.07.06.«]Ž‘ZyüMade–Ça“minor“c¸ãhange“to“the“conditional“that“determines“whether“the“ÂEllipsesŽ‘0A«areŽ¡coplanar–UUor“not.Ž¡‘ -[¬LDF‘T2003.08.14.«]Ž‘Y;Setting‘UUÏverb‘ÿ}'oseŽ‘'<«to‘UUÏtrueŽ‘oB«if‘UUÝVERBOSE_GLOBALŽ–P°è«is‘UUÏtrueŽ‘í«.‘qÇAdded‘UUÝVERBOSE_GLOBALŽ“«toŽ¡Èpspglb.web‘UU«toGda¸ãy‘ÿ*ª.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·ŽŸ ‘ -ÂvirtualŽ‘/Ôb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜quadrupleŽ’ŸtÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ’ñ^«(ÂEllipseŽ‘%>.±eŽ‘)æ/;‘ª¨Âb•QÇo“olŽ‘LÏverb‘ÿ}'oseŽ‘>¤ƒ«=‘ÇÏfalseŽ‘v\«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹Hfv Šn ý‘ì«328›ÂELLIPSE‘ÕX­AR•ÃŽGUMENT’÷âò3DLDFPR“G˜·x«1171Ž €n ý•@PÂ1171.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ޤ ‘ +[¬LDF‘T2003.08.14.«]Ž‘Y;Setting‘UUÏverb‘ÿ}'oseŽ‘'<«to‘UUÏtrueŽ‘oB«if‘UUÝVERBOSE_GLOBALŽ–P°è«is‘UUÏtrueŽ‘í«.‘qÇAdded‘UUÝVERBOSE_GLOBALŽ“«toŽ¡Èpspglb.web‘UU«toGda¸ãy‘ÿ*ª.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·ŽŸ ‘ +ÂvirtualŽ‘/Ôb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜quadrupleŽ’ŸtÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ’ñ^«(ÂEllipseŽ‘%>.±eŽ‘)æ/;‘ª¨Âb•QÇo“olŽ‘LÏverb‘ÿ}'oseŽ‘>¤ƒ«=‘ÇÏfalseŽ‘v\«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹Lgü Šn ý‘ì«332›ÂELLIPSE‘ÕX­AR•ÃŽGUMENT’÷âò3DLDFPR“G˜·x«1176Ž €n ý•@PÂ1176.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ޤ ‘ Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜quadrupleŽ‘z²`EllipseŽ’›=«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘RŒã«(ÂEllipseŽ‘& â±eŽ‘*±ã;‘ª¨Âb•QÇo“olŽ‘ÂÏverb‘ÿ}'oseŽ‘<©«)‘! ÂconstŽ‘öV·f‘! Âb•QÇo“olŽŽ¡‘2ÝDEBUGŽ‘Ov«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘)´û«(ÝVERBOSE_GLOBALŽ‘J>«)‘Ïverb‘ÿ}'oseŽ‘(Xu«=‘ÇÏtrueŽ‘‹°«;Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÿ9·_‘8àÏverb‘ÿ}'oseŽ‘"Ê=«)Ž¡‘(Ïc‘ÿ}'outŽ‘>|·‘#TÝ"EnteringÈ ÝEllipse::iŽ‘l#ntersection_points(EŽ’Õ"ÜllipseÈ Ýe,È ÝconstÈ ÝboolŽ’>" È Ýverbose)"Ž’vL>·Ž¡‘<Ïend‘‚ØlŽ‘OñÈ«;ަ‘Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜quadrupleŽ’æ®Ïbp‘ÿ}'qŽ’Ÿßâ«=‘ÇÝINVALID_BOOL_POINT_QUADRUPLEŽ’–M,«;Ž¡‘ÂPlaneŽ‘>6»Ïthis‘‰ffŽ‘®planeŽ‘l…Í«=‘ÇÏthisŽ‘²ÎŸ±~ŽŽ‘²ÏÏget‘‰ffŽ‘®planeŽ‘@)·«(‘ª¨);Ž¡‘ÂPlaneŽ‘>6»Ïe‘‰ffŽ‘®planeŽ‘aˆ©«=‘DZeŽ‘o:Ïget‘‰ffŽ‘®planeŽ‘(vè«(‘ª¨);ަ‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘(Ïthis‘‰ffŽ‘®planeŽ‘S‡þ±:ÏshowŽ‘Šÿ«(Ý"this_plane:"Ž‘DÆA«);Ž¡‘(Ïe‘‰ffŽ‘®planeŽ‘HŠÚ±:ÏshowŽ‘Šÿ«(Ý"e_plane:"Ž‘5J«);Ž¡‘·gŽ¡‘ÂifŽ‘)´û«(Ïthis‘‰ffŽ‘®planeŽ‘+‡ú±:ÏnormalŽ–#з‘ÇÏe‘‰ffŽ‘®planeŽ‘#Qî±:ÏnormalŽ‘"˜·_‘8àÏthis‘‰ffŽ‘®planeŽ‘-ÀÚ±:ÏnormalŽ“·‘ÇŽ‘ -Ž6Ïe‘‰ffŽ‘®planeŽ‘+ ±:ÏnormalŽ‘ V¸«)‘UU·fŽŸÂ1172.‘ ü«Coplanar‘UUcase.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.07.20.«]Ž‘X/¾No¸ãw–|Øusing“Ïget‘‰ffŽ–®axis‘‰ffŽ“vŽ‘-vr«(›ª®)“and“Ïget‘‰ffŽ–®axis‘‰ffŽ“hŽ‘-ª!«(˜),‘¨%instead“of“accessing“Ïaxis‘‰ffŽ‘®hŽ‘ó=«and“Ïaxis‘‰ffŽ‘®vŽ‘¿Ž«directly‘ÿ*ª.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·Ž¡‘ +Ž6Ïe‘‰ffŽ‘®planeŽ‘+ ±:ÏnormalŽ‘ V¸«)‘UU·fŽŸÂ1177.‘ ü«Coplanar‘UUcase.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.07.20.«]Ž‘X/¾No¸ãw–|Øusing“Ïget‘‰ffŽ–®axis‘‰ffŽ“vŽ‘-vr«(›ª®)“and“Ïget‘‰ffŽ–®axis‘‰ffŽ“hŽ‘-ª!«(˜),‘¨%instead“of“accessing“Ïaxis‘‰ffŽ‘®hŽ‘ó=«and“Ïaxis‘‰ffŽ‘®vŽ‘¿Ž«directly‘ÿ*ª.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·Ž¡‘ ÂifŽ‘´ù«(ÏfabsŽ–2Ò«(ÏfabsŽ“«(Ïthis‘‰ffŽ‘®planeŽ‘+‡ú±:Ïdistanc‘ÿ}'eŽ›$Eý«)–8à·“ÏfabsŽ‘k²«(Ïe‘‰ffŽ‘®planeŽ‘ ŠÖ±:Ïdistanc‘ÿ}'eŽ˜«))–DZ<“ÂP•®9oin“tŽ‘ad«::Ž‘%ï¢ÏepsilonŽ‘E^¦«(‘ª¨))‘UU·fŽ¡‘ ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"EllipsesÈ ÝareÈ ÝcoplanŽ‘kÆÜar.\n"Ž’Ž”J·‘ÇÏ ushŽ‘€«;Ž¡‘ ·gަ‘ ÂrealŽ‘ ³/Ïax‘‰ffŽ‘®hŽ‘7L«=‘ÇÏget‘‰ffŽ–®axis‘‰ffŽ“hŽ‘-ôa«(‘ª¨);Ž¡‘ -ÂrealŽ‘ ³/Ïax‘‰ffŽ‘®vŽ‘7U«=‘ÇÏget‘‰ffŽ–®axis‘‰ffŽ“vŽ‘-À²«(‘ª¨);ŽŽŽŒ‹Ixß Šn ý‘ì·x«1173›­3DLDFPR•ÃŽG’÷âòÂELLIPSE‘ÕX­AR“GUMENT˜«329Ž €n ý•@PÂ1173.‘ ü«Congruenš¸ãt,‘1same–'ýloGcation“and“axis“orien˜tation.‘bª[¬LDF‘T2002.04.15.«]Ž‘S=ŒAdded“c˜hec˜k“for“the“axis“orien˜ta-ޤ tion.‘.ÎIf–”Wthe“axes“are“not“all“vš¸ãertical“or“horizon˜tal,‘¤then“this“fails“( oating“exception).‘.ÎThis“means“that“theŽ¡circular–¬ñcase“will“not“bšGe“caugh¸ãt“here,‘ÂØbut“I‘¬Úplan“to“program“a“sp˜ecialization“for“ÂCirclesŽ‘&™Y«,‘ÂØso“this“shouldn'tŽ¡cause–UUtoGo“m•¸ãuc“h–UUof“a“problem.Ž¡‘ +ÂrealŽ‘ ³/Ïax‘‰ffŽ‘®vŽ‘7U«=‘ÇÏget‘‰ffŽ–®axis‘‰ffŽ“vŽ‘-À²«(‘ª¨);ŽŽŽŒ‹Mz: Šn ý‘ì·x«1178›­3DLDFPR•ÃŽG’÷âòÂELLIPSE‘ÕX­AR“GUMENT˜«333Ž €n ý•@PÂ1178.‘ ü«Congruenš¸ãt,‘1same–'ýloGcation“and“axis“orien˜tation.‘bª[¬LDF‘T2002.04.15.«]Ž‘S=ŒAdded“c˜hec˜k“for“the“axis“orien˜ta-ޤ tion.‘.ÎIf–”Wthe“axes“are“not“all“vš¸ãertical“or“horizon˜tal,‘¤then“this“fails“( oating“exception).‘.ÎThis“means“that“theŽ¡circular–¬ñcase“will“not“bšGe“caugh¸ãt“here,‘ÂØbut“I‘¬Úplan“to“program“a“sp˜ecialization“for“ÂCirclesŽ‘&™Y«,‘ÂØso“this“shouldn'tŽ¡cause–UUtoGo“m•¸ãuc“h–UUof“a“problem.Ž¡‘ [¬LDF‘T2002.04.14.«]Ž‘Y;Added–UUthis“section.Ž¡‘ This–´routine“only“wš¸ãorks“if“the“axis“orien˜tation“of“the“ÂEllipsesŽ‘-u}«is“the“same,‘ŒËor“rotated“90Ÿü^ÿºŽ›˜«or“180Ÿü^ÿºŽ˜«abGoutŽ¡an–øaxis“through“the“cen¸ãter“in“the“direction“of“the“normal“to“the“plane“of“the“ÂEllipseŽ‘%ÿÑ«,‘G`or“in“the“oppGositeŽ¡direction.‘MThe–žœaxis“orienš¸ãtation“is“tested“on“the“basis“of“the“v˜ector“from“the“cen˜ter“to“Ïp‘ÿ}'ointsŽ‘Ã1«[0Ž‘].‘MIf“the“axisŽ¡orien¸ãtation–òcis“the“same,‘¦or“rotated“180Ÿü^ÿºŽ‘‹G«abšGout“the“ab˜o•¸ãv“e-men“tioned–òcaxis,‘¦then“Ïaxis‘‰ffŽ‘®hŽ‘"ÞS«of“·Ž‘òdÏthisŽ‘Ð}«m¸ãust“equalŽ¡Ïaxis‘‰ffŽ‘®hŽ‘+¹«of‘2,±eŽ‘ Y«and‘2,Ïaxis‘‰ffŽ‘®vŽ›!*6«of‘2,·Ž‘2-ÏthisŽ‘P«m¸ãust–2,equal“Ïaxis‘‰ffŽ‘®vŽ˜«of“±eŽ‘Ú-«.‘fIf“the“axis“orien¸ãtation“is“rotated“at“an“angle“of“·«90Ÿü^ÿºŽ‘˜ä«,Ž¡then‘UUÏaxis‘‰ffŽ‘®hŽ‘!¤7«of‘UU·Ž‘UVÏthisŽ‘–a«m¸ãust–UUequal“Ïaxis‘‰ffŽ‘®vŽ›!pˆ«of“±eŽ‘ R««and“Ïaxis‘‰ffŽ‘®vŽ˜«of“·Ž‘UVÏthisŽ‘–a«m¸ãust“equal“Ïaxis‘‰ffŽ‘®hŽ‘!¤7«of“±eŽ‘ýV«.Ž¡‘ -The–M§ô±:ÏshowŽ‘Šÿ«(Ý"normal_point"Ž‘J>«);ަ‘ -ÂP•®9oin“tŽ‘(ïžÏe‘‰ffŽ–®axis‘‰ffŽ“orientation‘‰ffŽ“r–ÿ}'otate“dŽ’˜ø@«(Ïe‘‰ffŽ–®axis‘‰ffŽ“orientationŽ‘NPÉ«);ŽŽŽŒ‹Jƒj Šn ý‘ì«330›ÂELLIPSE‘ÕX­AR•ÃŽGUMENT’÷âò3DLDFPR“G˜·x«1174Ž €n ý•@PÂ1174.‘ ü«[¬LDF‘T2002.09.26.«]Ž‘Z)kST–ÿ*ªAR“T›örHERE.–öŠAdded“the“ÂifŽ‘L·«condition.‘R.I˜think“this“should“bGe“done,‘ but“I˜shouldޤ c•¸ãhec“k–Pto“bGe“sure.‘pApparenš¸ãtly“I‘Oÿha˜v˜en't“programmed“the“case“that“the“cen˜ters“aren't“the“same,‘Qbut“it“w˜ouldŽ¡bGe–UUeasy“enough“to“do,“I“think.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·Ž¡‘ +ÂP•®9oin“tŽ‘(ïžÏe‘‰ffŽ–®axis‘‰ffŽ“orientation‘‰ffŽ“r–ÿ}'otate“dŽ’˜ø@«(Ïe‘‰ffŽ–®axis‘‰ffŽ“orientationŽ‘NPÉ«);ŽŽŽŒ‹N„š Šn ý‘ì«334›ÂELLIPSE‘ÕX­AR•ÃŽGUMENT’÷âò3DLDFPR“G˜·x«1179Ž €n ý•@PÂ1179.‘ ü«[¬LDF‘T2002.09.26.«]Ž‘Z)kST–ÿ*ªAR“T›örHERE.–öŠAdded“the“ÂifŽ‘L·«condition.‘R.I˜think“this“should“bGe“done,‘ but“I˜shouldޤ c•¸ãhec“k–Pto“bGe“sure.‘pApparenš¸ãtly“I‘Oÿha˜v˜en't“programmed“the“case“that“the“cen˜ters“aren't“the“same,‘Qbut“it“w˜ouldŽ¡bGe–UUeasy“enough“to“do,“I“think.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·Ž¡‘ ÂifŽ‘pð«(Ïe‘‰ffŽ–®axis‘‰ffŽ“orientationŽ‘Qá·6«=‘ÇÏthis‘‰ffŽ–®axis‘‰ffŽ“orientationŽ‘\«)‘Ïe‘‰ffŽ–®axis‘‰ffŽ“orientation‘‰ffŽ“r–ÿ}'otate“dŽ‘u¢±:Ïr‘ÿ}'otateŽ‘o>«(ÏoriginŽ‘ö!±;‘ª¨Ïnormal‘‰ffŽ‘®p‘ÿ}'ointŽ‘;Rœ±;‘ª¨«90ŽŽ‘ ªª);Ž¡‘ ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘Ïe‘‰ffŽ–®axis‘‰ffŽ“orientation‘‰ffŽ“r–ÿ}'otate“dŽ‘u¢±:ÏshowŽ‘Šÿ«(Ý"e_axis_orientation"Ž‘i†,«);Ž¡‘ -ÂifŽ‘3~«(ÏthisŽ‘ë¶Ÿ±~ŽŽ‘ë·Ïc‘ÿ}'enterŽ‘47·‘™õ±eŽ‘Aö:Ïc‘ÿ}'enterŽ‘–÷^–8«((Ïthis‘‰ffŽ–®axis‘‰ffŽ“orientationŽ‘\çâ·‘™õÏe‘‰ffŽ–®axis‘‰ffŽ“orientationŽ‘Twö·_“Ïthis‘‰ffŽ–®axis‘‰ffŽ“orientationŽ‘_u·Ž¡‘(Ž‘/Ç"Ïe‘‰ffŽ–®axis‘‰ffŽ“orientationŽ‘~ë«)–°·_“«(Ïthis‘‰ffŽ–®axis‘‰ffŽ“orientationŽ‘\·‘ÇÏe‘‰ffŽ–®axis‘‰ffŽ“orientation‘‰ffŽ“r–ÿ}'otate“dŽ‘tîj·_“Ïthis‘‰ffŽ–®axis‘‰ffŽ“orientationŽ‘^3µ·Ž¡‘(Ž‘/Ç"Ïe‘‰ffŽ–®axis‘‰ffŽ“orientation‘‰ffŽ“r–ÿ}'otate“dŽ’ŸÏÄ«)))‘·fŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"CentersÈ ÝandÈ ÝaxisÈ ÝorŽ‘kÆÜientationÈ ÝareÈ ÝtheÈ ÝsaŽ’ÔÆ me.\n"Ž’÷”·‘ÇÏ ushŽ‘€«;Ž¡‘(±=·‘'«[¬LDF‘T2002.04.14.«]Ž‘T6‹Picš¸ãk–lthe“maxim˜um“of“Ïaxis‘‰ffŽ‘®hŽ‘!Ò‹«and“Ïaxis‘‰ffŽ‘®vŽ‘!žÜ«and“m˜ultiply“it“b˜y“1.5.‘·EW‘ÿ*ªe'll“use“aŽ¡‘2line–gBsegmenš¸ãt“of“this“length“to“ nd“in˜tersection“pGoin˜ts“with“the“t˜w˜o“ÂEllipsesŽ‘)ÙW«.‘§Using“this“lengthŽ¡‘2guaran•¸ãtees›UUw“e'll˜ nd˜them.‘qÇActually‘ÿ*ª,˜ÏmaxŽ‘ùð«(Ïaxis‘‰ffŽ‘®hŽ‘ù±;‘ª¨Ïaxis‘‰ffŽ‘®vŽ‘p†«)˜ough“t˜to˜do˜the˜tric“k.‘o·±=ަ‘ÂP•®9oin“tŽ‘2ïŸÏpt0Ž‘BXÚ«;ަ‘ÂifŽ‘´ú«(Ïax‘‰ffŽ‘®hŽ‘˜Õ·‘ÇÏax‘‰ffŽ‘®vŽ‘e&«)‘Ïpt0Ž‘0S«=‘ÇÏget‘‰ffŽ‘®p‘ÿ}'ointŽ‘*)`«(0Ž‘);Ž¡‘ÂelseŽ‘+ØáÏpt0Ž‘> 4«=‘ÇÏget‘‰ffŽ‘®p‘ÿ}'ointŽ‘*)`«(Ïnumb›ÿ}'er‘‰ffŽ–®of‘‰ffŽ“p˜ointsŽ‘JÀ©±=«4Ž‘);Ž¡‘Ïpt0Ž‘&0U·«=ŽŽ‘8…©Ïc‘ÿ}'enterŽ‘T4«;Ž¡‘Ïpt0Ž‘&0U·«=ŽŽ‘5¾Œ1±:«5ŽŽ‘B…«;Ž¡‘Ïpt0Ž‘#i=±:ÏshiftŽ‘}«(Ïc‘ÿ}'enterŽ‘ ‹«);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïthis‘‰ffŽ‘®planeŽ‘I‡ý±:ÏnormalŽ‘ V¸±:ÏshowŽ‘Šÿ«(Ý"normal"Ž‘*†P«);Ž¡‘Ïc‘ÿ}'enterŽ‘: ޱ:ÏshowŽ‘Šÿ«(Ý"center"Ž‘*†P«);Ž¡‘·g‘±=·‘ «[¬LDF‘T2002.04.14.«]Ž‘TeW‘ÿ*ªe'll–^lrotate“Ïpt0Ž‘&«around“the“normal“to“the“plane“of“the“ellipse“from“Ïc‘ÿ}'enterŽ‘g÷«,Ž¡‘2i.e.,–UUthe“line“segmen¸ãt“from“Ïc‘ÿ}'enterŽ‘"´5«to“Ïpt1Ž‘¾«.‘o·±=ަ‘ÂP•®9oin“tŽ‘2ïŸÏpt1Ž‘BXÚ«(Ïthis‘‰ffŽ‘®planeŽ‘+‡ú±:ÏnormalŽ‘ V¸«);ަ‘Ïpt1Ž‘#i=±:ÏshiftŽ‘}«(Ïc‘ÿ}'enterŽ‘ ‹«);Ž¡‘ÂifŽ‘Ð «(ÝDEBUGŽ–ÆY«)‘Ïpt1Ž‘i;±:ÏshowŽ‘Šÿ«(Ý"pt1"Ž“«);‘±=·‘«[¬LDF‘T2002.04.14.«]Ž‘T>[Ïpt2Ž‘gý«is–pgthe“in¸ãtersection“of“the“line“from“Ïc‘ÿ}'enterŽŽ¡‘2«to‘UUÏpt0Ž›å«with‘UU·Ž‘UVÏthisŽ‘A «,–UUand“Ïpt3Ž˜«is“the“in¸ãtersection“of“the“same“line“with“±eŽ‘ýV«.‘o·±=ަ‘ÂP•®9oin“tŽ‘2ïŸÏpt2Ž‘BXÚ«;Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏpt3Ž‘BXÚ«;Ž¡‘Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘edðÏbpp‘‰ffŽ‘®thisŽ’ˆÑ0«;Ž¡‘Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘edðÏbpp‘‰ffŽ‘®eŽ‘}ÂF«;Ž¡‘Âb•QÇo“olŽ‘-ñmÏc‘ÿ}'ongruent‘‰ffŽ‘® agŽ‘pt¾«=‘LuÏtrueŽ‘ «;‘±=·‘P«[¬LDF‘T2002.04.14.«]Ž‘T¨AW‘ÿ*ªe'll–¥Z nd“inš¸ãtersection“pGoin˜ts“for“ v˜e“v‘ÿqÇaluesŽ¡‘(of‘›üÏpt0Ž‘7«.‘E»If–›üone“set“of“inš¸ãtersection“pGoin˜ts“are“not“the“same,‘­¥this“means“the“w˜e“ÂEllipsesŽ‘-ª «are“notŽ¡‘(congruenš¸ãt–UUand“in“the“same“loGcation,“so“w˜e“break“out“of“the“loGop.‘o·±=ަ‘ÂforŽ‘%舫(Âin®9tŽ‘¤÷±iŽ‘Þ«=‘Ç0Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«5Ž“;‘ÿý±iŽ‘ññŸÿ®+‘ÿ+ŽŽ‘¹«)‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"iÈ Ý==È Ý"Ž‘*Ôƒ·‘DZiŽ‘ $·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ÂifŽ‘)´û«(±iŽ‘9 ·6«=‘Ç0Ž‘Ç)‘Ïpt0Ž‘i;±:Ïr‘ÿ}'otateŽ‘o>«(Ïc‘ÿ}'enterŽ‘ ‹±;‘ª¨Ïpt1Ž‘ã±;‘ª¨«30ŽŽ‘ ªª);Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïpt0Ž‘i;±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"0"Ž‘F_«);Ž¡‘Ïbpp‘‰ffŽ‘®thisŽ‘D3[«=‘ÇÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘TS÷«(Ïc‘ÿ}'enterŽ‘ ‹±;‘ª¨Ïpt0Ž‘ã«);Ž¡‘Ïbpp‘‰ffŽ‘®eŽ‘9$q«=‘DZeŽ‘o:Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘QŒß«(Ïc‘ÿ}'enterŽ‘ ‹±;‘ª¨Ïpt0Ž‘ã«);Ž¡‘ÂifŽ‘)´û«(Ïbpp‘‰ffŽ‘®thisŽ‘#l@±:Ï rstŽ‘µª±:bŽ‘·‘ÇÏtrueŽ‘‹°«)‘·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"firstÈ ÝisÈ ÝanÈ ÝinterseŽ‘kÆÜctionÈ ÝpointÈ Ý(this).\Ž’ÔÆ n"Ž’ßÍ«;Ž¡‘(Ïpt2Ž‘:0W«=‘ÇÏbpp‘‰ffŽ‘®thisŽ‘&3X±:Ï rstŽ‘µª±:ÏptŽ‘ ä«;Ž¡‘·gŽ¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(Ïbpp‘‰ffŽ‘®thisŽ‘#l@±:Ïse–ÿ}'c“ondŽ‘§Ç±:bŽ‘·‘ÇÏtrueŽ‘‹°«)‘·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"secondÈ ÝisÈ ÝanÈ ÝintersŽ‘kÆÜectionÈ ÝpointÈ Ý(this).Ž’ÔÆ \n"Ž’å ÿ«;Ž¡‘(Ïpt2Ž‘:0W«=‘ÇÏbpp‘‰ffŽ‘®thisŽ‘&3X±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ ä«;Ž¡‘·gŽ¡‘ÂelseŽ‘5Øâ·fŽŽŽŒ‹K‘ô Šn ý‘ì·x«1174›­3DLDFPR•ÃŽG’÷âòÂELLIPSE‘ÕX­AR“GUMENT˜«331Ž €n ý•@P‘(Ïc‘ÿ}'errŽ‘A:²·‘…Ý"InÈ ÝEllipse::interseŽ‘o„Ìction_points(EllipseŽ’Ø„).\n"Ž’ùÏñ·ޤ ‘<Ý"ThisÈ Ýcan'tÈ ÝhappenÈ Ý(Ž’¤ÿÊthis)!\n"Ž’×/·‘ÇÝ"WillÈ ÝtryÈ ÝtoÈ ÝcontinuŽ‘kÆÜe.\n\n"Ž’“ÔG·‘ÇÏ ushŽ‘€«;Ž¡‘(Ïpt2Ž‘:0W«=‘ÇÝINVALID_POINTŽ‘GY«;Ž¡‘·gŽ¡‘ÂifŽ‘)´û«(Ïbpp‘‰ffŽ‘®eŽ‘]V±:Ï rstŽ‘µª±:bŽ‘·‘ÇÏtrueŽ‘‹°«)‘·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"firstÈ ÝisÈ ÝanÈ ÝinterseŽ‘kÆÜctionÈ ÝpointÈ Ý(e).\n"Ž’Ð «;Ž¡‘(Ïpt3Ž‘:0W«=‘ÇÏbpp‘‰ffŽ‘®eŽ‘$n±:Ï rstŽ‘µª±:ÏptŽ‘ ä«;Ž¡‘·gŽ¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(Ïbpp‘‰ffŽ‘®eŽ‘]V±:Ïse–ÿ}'c“ondŽ‘§Ç±:bŽ‘·‘ÇÏtrueŽ‘‹°«)‘·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"secondÈ ÝisÈ ÝanÈ ÝintersŽ‘kÆÜectionÈ ÝpointÈ Ý(e).\n"Ž’ÕM«;Ž¡‘(Ïpt3Ž‘:0W«=‘ÇÏbpp‘‰ffŽ‘®eŽ‘$n±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ ä«;Ž¡‘·gŽ¡‘ÂelseŽ‘5Øâ·fŽ¡‘(Ïc‘ÿ}'errŽ‘A:²·‘…Ý"InÈ ÝEllipse::interseŽ‘o„Ìction_points(EllipseŽ’Ø„).\n"Ž’ùÏñ·Ž¡‘<Ý"ThisÈ Ýcan'tÈ ÝhappenÈ Ý(Ž’¤ÿÊe)!\nWillÈ ÝtryÈ ÝtoÈ ÝconŽ’ ÿŽtinue.\n\n"Ž’K í·‘ÇÏ ushŽ‘€«;Ž¡‘(Ïpt3Ž‘:0W«=‘ÇÝINVALID_POINTŽ‘GY«;Ž¡‘·gŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘(Ïpt2Ž‘7i?±:ÏshowŽ‘Šÿ«(Ý"2"Ž‘F_«);Ž¡‘(Ïpt2Ž‘7i?±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"2"Ž‘F_«);Ž¡‘(Ïpt3Ž‘7i?±:ÏshowŽ‘Šÿ«(Ý"3"Ž‘F_«);Ž¡‘(Ïpt3Ž‘7i?±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"3"Ž‘F_±;‘ª¨Ý"bot"Ž‘q«);Ž¡‘·gŽ¡‘ÂifŽ‘)´û«(Ïpt2Ž‘0S·‘ÇÝINVALID_POINTŽ–IÆ9·_‘8àÏpt3Ž›i3·‘ÇÝINVALID_POINTŽ“·_‘8àÏpt2Ž˜·6«=‘ÇÏpt3Ž‘0S«)‘·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EllipsesÈ ÝareÈ ÝnotÈ ÝcoŽ‘kÆÜngruent.È ÝBreaking.\nŽ’ÔÆ "Ž’Ú«;Ž¡‘(Ïc‘ÿ}'ongruent‘‰ffŽ‘® agŽ‘iýø«=‘ÇÏfalseŽ‘v\«;Ž¡‘(ÂbreakŽ‘D¡h«;Ž¡‘·gŽ¡‘ÂelseŽ‘5Øâcon•®9tin“ueŽ‘`¿—«;Ž¡‘·g‘±=·‘ÿýÂforŽ‘“+·±=Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"congruent_flagÈ Ý==È Ý"Ž‘o\·‘ÇÏc‘ÿ}'ongruent‘‰ffŽ‘® agŽ‘DÅ ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(Ïc‘ÿ}'ongruent‘‰ffŽ‘® agŽ‘Aýô·‘ÇÏtrueŽ‘‹°«)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘6F0·‘‡Ý"WARNING!È ÝInÈ ÝEllipseŽ‘nK::intersection_pointŽ’×s(Ellipse).\n"Ž’'&Ô·Ž¡‘2Ý"EllipsesÈ ÝareÈ ÝcongruŽ’šÿÉentÈ ÝandÈ ÝinÈ ÝtheÈ ÝsameÈ Ž’ÿÝlocation.\n"Ž’Iè@·Ž¡‘2Ý"ReturningÈ ÝINVALID_BŽ’šÿÉOOL_POINT_QUADRUPLE.Ž’ÿ\n\n"Ž’!Œþ·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_BOOL_POINT_QUADRUPLEŽ’ÕlÑ«;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"AllÈ ÝfiveÈ ÝpointsÈ ÝareŽ‘kÆÜÈ ÝnotÈ ÝonÈ ÝbothÈ ÝellipseŽ’ÔÆ s.\n"Ž’òT·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ +ÂifŽ‘3~«(ÏthisŽ‘ë¶Ÿ±~ŽŽ‘ë·Ïc‘ÿ}'enterŽ‘47·‘™õ±eŽ‘Aö:Ïc‘ÿ}'enterŽ‘–÷^–8«((Ïthis‘‰ffŽ–®axis‘‰ffŽ“orientationŽ‘\çâ·‘™õÏe‘‰ffŽ–®axis‘‰ffŽ“orientationŽ‘Twö·_“Ïthis‘‰ffŽ–®axis‘‰ffŽ“orientationŽ‘_u·Ž¡‘(Ž‘/Ç"Ïe‘‰ffŽ–®axis‘‰ffŽ“orientationŽ‘~ë«)–°·_“«(Ïthis‘‰ffŽ–®axis‘‰ffŽ“orientationŽ‘\·‘ÇÏe‘‰ffŽ–®axis‘‰ffŽ“orientation‘‰ffŽ“r–ÿ}'otate“dŽ‘tîj·_“Ïthis‘‰ffŽ–®axis‘‰ffŽ“orientationŽ‘^3µ·Ž¡‘(Ž‘/Ç"Ïe‘‰ffŽ–®axis‘‰ffŽ“orientation‘‰ffŽ“r–ÿ}'otate“dŽ’ŸÏÄ«)))‘·fŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"CentersÈ ÝandÈ ÝaxisÈ ÝorŽ‘kÆÜientationÈ ÝareÈ ÝtheÈ ÝsaŽ’ÔÆ me.\n"Ž’÷”·‘ÇÏ ushŽ‘€«;Ž¡‘(±=·‘'«[¬LDF‘T2002.04.14.«]Ž‘T6‹Picš¸ãk–lthe“maxim˜um“of“Ïaxis‘‰ffŽ‘®hŽ‘!Ò‹«and“Ïaxis‘‰ffŽ‘®vŽ‘!žÜ«and“m˜ultiply“it“b˜y“1.5.‘·EW‘ÿ*ªe'll“use“aŽ¡‘2line–gBsegmenš¸ãt“of“this“length“to“ nd“in˜tersection“pGoin˜ts“with“the“t˜w˜o“ÂEllipsesŽ‘)ÙW«.‘§Using“this“lengthŽ¡‘2guaran•¸ãtees›UUw“e'll˜ nd˜them.‘qÇActually‘ÿ*ª,˜ÏmaxŽ‘ùð«(Ïaxis‘‰ffŽ‘®hŽ‘ù±;‘ª¨Ïaxis‘‰ffŽ‘®vŽ‘p†«)˜ough“t˜to˜do˜the˜tric“k.‘o·±=ަ‘ÂP•®9oin“tŽ‘2ïŸÏpt0Ž‘BXÚ«;ަ‘ÂifŽ‘´ú«(Ïax‘‰ffŽ‘®hŽ‘˜Õ·‘ÇÏax‘‰ffŽ‘®vŽ‘e&«)‘Ïpt0Ž‘0S«=‘ÇÏget‘‰ffŽ‘®p‘ÿ}'ointŽ‘*)`«(0Ž‘);Ž¡‘ÂelseŽ‘+ØáÏpt0Ž‘> 4«=‘ÇÏget‘‰ffŽ‘®p‘ÿ}'ointŽ‘*)`«(Ïnumb›ÿ}'er‘‰ffŽ–®of‘‰ffŽ“p˜ointsŽ‘JÀ©±=«4Ž‘);Ž¡‘Ïpt0Ž‘&0U·«=ŽŽ‘8…©Ïc‘ÿ}'enterŽ‘T4«;Ž¡‘Ïpt0Ž‘&0U·«=ŽŽ‘5¾Œ1±:«5ŽŽ‘B…«;Ž¡‘Ïpt0Ž‘#i=±:ÏshiftŽ‘}«(Ïc‘ÿ}'enterŽ‘ ‹«);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïthis‘‰ffŽ‘®planeŽ‘I‡ý±:ÏnormalŽ‘ V¸±:ÏshowŽ‘Šÿ«(Ý"normal"Ž‘*†P«);Ž¡‘Ïc‘ÿ}'enterŽ‘: ޱ:ÏshowŽ‘Šÿ«(Ý"center"Ž‘*†P«);Ž¡‘·g‘±=·‘ «[¬LDF‘T2002.04.14.«]Ž‘TeW‘ÿ*ªe'll–^lrotate“Ïpt0Ž‘&«around“the“normal“to“the“plane“of“the“ellipse“from“Ïc‘ÿ}'enterŽ‘g÷«,Ž¡‘2i.e.,–UUthe“line“segmen¸ãt“from“Ïc‘ÿ}'enterŽ‘"´5«to“Ïpt1Ž‘¾«.‘o·±=ަ‘ÂP•®9oin“tŽ‘2ïŸÏpt1Ž‘BXÚ«(Ïthis‘‰ffŽ‘®planeŽ‘+‡ú±:ÏnormalŽ‘ V¸«);ަ‘Ïpt1Ž‘#i=±:ÏshiftŽ‘}«(Ïc‘ÿ}'enterŽ‘ ‹«);Ž¡‘ÂifŽ‘Ð «(ÝDEBUGŽ–ÆY«)‘Ïpt1Ž‘i;±:ÏshowŽ‘Šÿ«(Ý"pt1"Ž“«);‘±=·‘«[¬LDF‘T2002.04.14.«]Ž‘T>[Ïpt2Ž‘gý«is–pgthe“in¸ãtersection“of“the“line“from“Ïc‘ÿ}'enterŽŽ¡‘2«to‘UUÏpt0Ž›å«with‘UU·Ž‘UVÏthisŽ‘A «,–UUand“Ïpt3Ž˜«is“the“in¸ãtersection“of“the“same“line“with“±eŽ‘ýV«.‘o·±=ަ‘ÂP•®9oin“tŽ‘2ïŸÏpt2Ž‘BXÚ«;Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏpt3Ž‘BXÚ«;Ž¡‘Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘edðÏbpp‘‰ffŽ‘®thisŽ’ˆÑ0«;Ž¡‘Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘edðÏbpp‘‰ffŽ‘®eŽ‘}ÂF«;Ž¡‘Âb•QÇo“olŽ‘-ñmÏc‘ÿ}'ongruent‘‰ffŽ‘® agŽ‘pt¾«=‘LuÏtrueŽ‘ «;‘±=·‘P«[¬LDF‘T2002.04.14.«]Ž‘T¨AW‘ÿ*ªe'll–¥Z nd“inš¸ãtersection“pGoin˜ts“for“ v˜e“v‘ÿqÇaluesŽ¡‘(of‘›üÏpt0Ž‘7«.‘E»If–›üone“set“of“inš¸ãtersection“pGoin˜ts“are“not“the“same,‘­¥this“means“the“w˜e“ÂEllipsesŽ‘-ª «are“notŽ¡‘(congruenš¸ãt–UUand“in“the“same“loGcation,“so“w˜e“break“out“of“the“loGop.‘o·±=ަ‘ÂforŽ‘%舫(Âin®9tŽ‘¤÷±iŽ‘Þ«=‘Ç0Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«5Ž“;‘ÿý±iŽ‘ññŸÿ®+‘ÿ+ŽŽ‘¹«)‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"iÈ Ý==È Ý"Ž‘*Ôƒ·‘DZiŽ‘ $·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ÂifŽ‘)´û«(±iŽ‘9 ·6«=‘Ç0Ž‘Ç)‘Ïpt0Ž‘i;±:Ïr‘ÿ}'otateŽ‘o>«(Ïc‘ÿ}'enterŽ‘ ‹±;‘ª¨Ïpt1Ž‘ã±;‘ª¨«30ŽŽ‘ ªª);Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïpt0Ž‘i;±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"0"Ž‘F_«);Ž¡‘Ïbpp‘‰ffŽ‘®thisŽ‘D3[«=‘ÇÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘TS÷«(Ïc‘ÿ}'enterŽ‘ ‹±;‘ª¨Ïpt0Ž‘ã«);Ž¡‘Ïbpp‘‰ffŽ‘®eŽ‘9$q«=‘DZeŽ‘o:Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘QŒß«(Ïc‘ÿ}'enterŽ‘ ‹±;‘ª¨Ïpt0Ž‘ã«);Ž¡‘ÂifŽ‘)´û«(Ïbpp‘‰ffŽ‘®thisŽ‘#l@±:Ï rstŽ‘µª±:bŽ‘·‘ÇÏtrueŽ‘‹°«)‘·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"firstÈ ÝisÈ ÝanÈ ÝinterseŽ‘kÆÜctionÈ ÝpointÈ Ý(this).\Ž’ÔÆ n"Ž’ßÍ«;Ž¡‘(Ïpt2Ž‘:0W«=‘ÇÏbpp‘‰ffŽ‘®thisŽ‘&3X±:Ï rstŽ‘µª±:ÏptŽ‘ ä«;Ž¡‘·gŽ¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(Ïbpp‘‰ffŽ‘®thisŽ‘#l@±:Ïse–ÿ}'c“ondŽ‘§Ç±:bŽ‘·‘ÇÏtrueŽ‘‹°«)‘·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"secondÈ ÝisÈ ÝanÈ ÝintersŽ‘kÆÜectionÈ ÝpointÈ Ý(this).Ž’ÔÆ \n"Ž’å ÿ«;Ž¡‘(Ïpt2Ž‘:0W«=‘ÇÏbpp‘‰ffŽ‘®thisŽ‘&3X±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ ä«;Ž¡‘·gŽ¡‘ÂelseŽ‘5Øâ·fŽŽŽŒ‹O“$ Šn ý‘ì·x«1179›­3DLDFPR•ÃŽG’÷âòÂELLIPSE‘ÕX­AR“GUMENT˜«335Ž €n ý•@P‘(Ïc‘ÿ}'errŽ‘A:²·‘…Ý"InÈ ÝEllipse::interseŽ‘o„Ìction_points(EllipseŽ’Ø„).\n"Ž’ùÏñ·ޤ ‘<Ý"ThisÈ Ýcan'tÈ ÝhappenÈ Ý(Ž’¤ÿÊthis)!\n"Ž’×/·‘ÇÝ"WillÈ ÝtryÈ ÝtoÈ ÝcontinuŽ‘kÆÜe.\n\n"Ž’“ÔG·‘ÇÏ ushŽ‘€«;Ž¡‘(Ïpt2Ž‘:0W«=‘ÇÝINVALID_POINTŽ‘GY«;Ž¡‘·gŽ¡‘ÂifŽ‘)´û«(Ïbpp‘‰ffŽ‘®eŽ‘]V±:Ï rstŽ‘µª±:bŽ‘·‘ÇÏtrueŽ‘‹°«)‘·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"firstÈ ÝisÈ ÝanÈ ÝinterseŽ‘kÆÜctionÈ ÝpointÈ Ý(e).\n"Ž’Ð «;Ž¡‘(Ïpt3Ž‘:0W«=‘ÇÏbpp‘‰ffŽ‘®eŽ‘$n±:Ï rstŽ‘µª±:ÏptŽ‘ ä«;Ž¡‘·gŽ¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(Ïbpp‘‰ffŽ‘®eŽ‘]V±:Ïse–ÿ}'c“ondŽ‘§Ç±:bŽ‘·‘ÇÏtrueŽ‘‹°«)‘·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"secondÈ ÝisÈ ÝanÈ ÝintersŽ‘kÆÜectionÈ ÝpointÈ Ý(e).\n"Ž’ÕM«;Ž¡‘(Ïpt3Ž‘:0W«=‘ÇÏbpp‘‰ffŽ‘®eŽ‘$n±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ ä«;Ž¡‘·gŽ¡‘ÂelseŽ‘5Øâ·fŽ¡‘(Ïc‘ÿ}'errŽ‘A:²·‘…Ý"InÈ ÝEllipse::interseŽ‘o„Ìction_points(EllipseŽ’Ø„).\n"Ž’ùÏñ·Ž¡‘<Ý"ThisÈ Ýcan'tÈ ÝhappenÈ Ý(Ž’¤ÿÊe)!\nWillÈ ÝtryÈ ÝtoÈ ÝconŽ’ ÿŽtinue.\n\n"Ž’K í·‘ÇÏ ushŽ‘€«;Ž¡‘(Ïpt3Ž‘:0W«=‘ÇÝINVALID_POINTŽ‘GY«;Ž¡‘·gŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘(Ïpt2Ž‘7i?±:ÏshowŽ‘Šÿ«(Ý"2"Ž‘F_«);Ž¡‘(Ïpt2Ž‘7i?±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"2"Ž‘F_«);Ž¡‘(Ïpt3Ž‘7i?±:ÏshowŽ‘Šÿ«(Ý"3"Ž‘F_«);Ž¡‘(Ïpt3Ž‘7i?±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"3"Ž‘F_±;‘ª¨Ý"bot"Ž‘q«);Ž¡‘·gŽ¡‘ÂifŽ‘)´û«(Ïpt2Ž‘0S·‘ÇÝINVALID_POINTŽ–IÆ9·_‘8àÏpt3Ž›i3·‘ÇÝINVALID_POINTŽ“·_‘8àÏpt2Ž˜·6«=‘ÇÏpt3Ž‘0S«)‘·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EllipsesÈ ÝareÈ ÝnotÈ ÝcoŽ‘kÆÜngruent.È ÝBreaking.\nŽ’ÔÆ "Ž’Ú«;Ž¡‘(Ïc‘ÿ}'ongruent‘‰ffŽ‘® agŽ‘iýø«=‘ÇÏfalseŽ‘v\«;Ž¡‘(ÂbreakŽ‘D¡h«;Ž¡‘·gŽ¡‘ÂelseŽ‘5Øâcon•®9tin“ueŽ‘`¿—«;Ž¡‘·g‘±=·‘ÿýÂforŽ‘“+·±=Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"congruent_flagÈ Ý==È Ý"Ž‘o\·‘ÇÏc‘ÿ}'ongruent‘‰ffŽ‘® agŽ‘DÅ ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(Ïc‘ÿ}'ongruent‘‰ffŽ‘® agŽ‘Aýô·‘ÇÏtrueŽ‘‹°«)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘6F0·‘‡Ý"WARNING!È ÝInÈ ÝEllipseŽ‘nK::intersection_pointŽ’×s(Ellipse).\n"Ž’'&Ô·Ž¡‘2Ý"EllipsesÈ ÝareÈ ÝcongruŽ’šÿÉentÈ ÝandÈ ÝinÈ ÝtheÈ ÝsameÈ Ž’ÿÝlocation.\n"Ž’Iè@·Ž¡‘2Ý"ReturningÈ ÝINVALID_BŽ’šÿÉOOL_POINT_QUADRUPLE.Ž’ÿ\n\n"Ž’!Œþ·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_BOOL_POINT_QUADRUPLEŽ’ÕlÑ«;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"AllÈ ÝfiveÈ ÝpointsÈ ÝareŽ‘kÆÜÈ ÝnotÈ ÝonÈ ÝbothÈ ÝellipseŽ’ÔÆ s.\n"Ž’òT·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ g‘±=·‘ÿý«End–UUof“test“of“congruency“and“same“loGcation.‘o·±=Ž¡‘=·‘ÿý«[¬LDF‘T2002.09.26.«]Ž‘T7ST–ÿ*ªAR“T–UUHERE.“Programm“this“case!!‘o·±=Ž¡‘ ÂelseŽ‘ .5ifŽ‘+ã-«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘-'2·‘ÍùÝ"TheÈ ÝcentersÈ ÝareÈ ÝdifŽ‘nͽferent,È ÝorÈ ÝtheÈ ÝaxisŽ’×ÍÈ ÝorientationÈ Ý"Ž’'¡¸·Ž¡‘(Ý"isÈ Ýdifferent,È ÝorÈ ÝboŽ’ÿÈth.È Ý"Ž’®9·‘ÇÝ"Haven'tÈ ÝprogrammedÈ Ž‘kÆÜÝthisÈ ÝcaseÈ Ýyet.\n"Ž’Å«;Ž¡‘ ·gŽŸ‘ @@ -4253,15 +4314,15 @@ ÂT‘ÿ «ransformŽ‘AÈÓ±tŽ‘EeE«;Ž¡‘ ÂT‘ÿ -«ransformŽ‘AÈÓÏt‘‰ffŽ‘®inverseŽ‘h×è«;ŽŽŽŒ‹L¨« Šn ý‘ì«332›ÂELLIPSE‘ÕX­AR•ÃŽGUMENT’÷âò3DLDFPR“G˜·x«1175Ž €n ý•@PÂ1175.‘ ü«Shift–UUto“origin“(if“necessary).Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ޤ ‘ +«ransformŽ‘AÈÓÏt‘‰ffŽ‘®inverseŽ‘h×è«;ŽŽŽŒ‹P©Û Šn ý‘ì«336›ÂELLIPSE‘ÕX­AR•ÃŽGUMENT’÷âò3DLDFPR“G˜·x«1180Ž €n ý•@PÂ1180.‘ ü«Shift–UUto“origin“(if“necessary).Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ޤ ‘ ÂifŽ‘´ù«(Ïc–ÿ}'opy‘‰ffŽ‘®c“enterŽ‘5©W·6«=‘ÇÏoriginŽ‘½9«)‘·fŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"ShiftingÈ ÝcopyÈ ÝtoÈ ÝorŽ‘kÆÜigin.\n"Ž’™D·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘±tŽ‘œt:ÏshiftŽ‘}«(·Ž‘ÇÏc–ÿ}'opy‘‰ffŽ‘®c“enterŽ‘:©]±:Ïget‘‰ffŽ‘®xŽ‘Žg«(–ª¨)±;“·Ž‘ qÆÏc–ÿ}'opy‘‰ffŽ‘®c“enterŽ›»«;Ž¡‘Ïc–ÿ}'opy‘‰ffŽ‘®c“enterŽ‘I©Y·«=ŽŽ‘Y7±tŽ‘\Ô«;Ž¡‘±eŽ‘o·«=ŽŽ‘*ýR±tŽ‘.™Ä«;Ž¡‘ ·gŽ¡‘ ÂelseŽ‘ .5ifŽ‘+ã-«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"copyÈ ÝisÈ ÝalreadyÈ ÝatÈ Ž‘kÆÜÝorigin.\n"Ž’£”>·‘ÇÏ ushŽ‘€«;Ž¡‘ -·gŽŸÂ1176.‘ ü«Get–UUcoGordinates“of“normal.ަ·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·Ž¡‘ +·gŽŸÂ1181.‘ ü«Get–UUcoGordinates“of“normal.ަ·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·Ž¡‘ ÂrealŽ‘ ³/Ïnormal‘‰ffŽ‘®xŽ‘LNZ«=‘ÇÏthis‘‰ffŽ‘®planeŽ‘.O±:ÏnormalŽ‘ V¸±:Ïget‘‰ffŽ‘®xŽ‘Žg«(‘ª¨);Ž¡‘ ÂrealŽ‘ ³/Ïnormal‘‰ffŽ‘®yŽ‘L4 «=‘ÇÏthis‘‰ffŽ‘®planeŽ‘.O±:ÏnormalŽ‘ V¸±:Ïget‘‰ffŽ‘®yŽ‘t«(‘ª¨);Ž¡‘ -ÂrealŽ‘ ³/Ïnormal‘‰ffŽ‘®zŽ‘KÇô«=‘ÇÏthis‘‰ffŽ‘®planeŽ‘.O±:ÏnormalŽ‘ V¸±:Ïget‘‰ffŽ‘®zŽ‘«(‘ª¨);ŽŽŽŒ‹M¶Ì Šn ý‘ì·x«1177›­3DLDFPR•ÃŽG’÷âòÂELLIPSE‘ÕX­AR“GUMENT˜«333Ž €n ý•@PÂ1177.‘ ü«Determine–- the“orien¸ãtation“of“the“ellipse“and“rotate,‘5if“it's“not“already“in“a“plane“parallel“to“a“ma‘Ž8jorޤ plane.‘‘ÐRotating–`the“ÂEllipseŽ‘(¨ß«can“cause“inaccuracies“in“the“coGordinate“v‘ÿqÇalues,‘b®so“if“the“ellipse“is“already“in“aŽ¡ma›Ž8jor–UUplane,“(i.e.,“one“p•Gerp“endicular–UUto“a“ma˜jor“axis),“wš¸ãe“lea˜v˜e“it“where“it“is.ŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.08.27.«]Ž‘YyCommenš¸ãted-out–`“the“declaration“of“ÝOTHERŽ‘&ì«,‘ccbGecause“it's“nev˜er“used.‘“I‘`ha˜v˜en't“deleted“it,Ž¡just–UUin“case.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ޤ ‘ +ÂrealŽ‘ ³/Ïnormal‘‰ffŽ‘®zŽ‘KÇô«=‘ÇÏthis‘‰ffŽ‘®planeŽ‘.O±:ÏnormalŽ‘ V¸±:Ïget‘‰ffŽ‘®zŽ‘«(‘ª¨);ŽŽŽŒ‹Q·ü Šn ý‘ì·x«1182›­3DLDFPR•ÃŽG’÷âòÂELLIPSE‘ÕX­AR“GUMENT˜«337Ž €n ý•@PÂ1182.‘ ü«Determine–- the“orien¸ãtation“of“the“ellipse“and“rotate,‘5if“it's“not“already“in“a“plane“parallel“to“a“ma‘Ž8jorޤ plane.‘‘ÐRotating–`the“ÂEllipseŽ‘(¨ß«can“cause“inaccuracies“in“the“coGordinate“v‘ÿqÇalues,‘b®so“if“the“ellipse“is“already“in“aŽ¡ma›Ž8jor–UUplane,“(i.e.,“one“p•Gerp“endicular–UUto“a“ma˜jor“axis),“wš¸ãe“lea˜v˜e“it“where“it“is.ŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.08.27.«]Ž‘YyCommenš¸ãted-out–`“the“declaration“of“ÝOTHERŽ‘&ì«,‘ccbGecause“it's“nev˜er“used.‘“I‘`ha˜v˜en't“deleted“it,Ž¡just–UUin“case.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ޤ ‘ ÂunsignedŽ‘:7shortŽ‘X²ÏorientationŽ’‰tñ«;Ž¡‘ ÂconstŽ‘(*£unsignedŽ‘Xa±shortŽ‘v,TÝX_YŽ’‰9Ë«=‘Ç0Ž‘Ç;Ž¡‘ ÂconstŽ‘(*£unsignedŽ‘Xa±shortŽ‘v,TÝX_ZŽ’‰9Ë«=‘Ç1Ž‘Ç;Ž¡‘ @@ -4280,13 +4341,13 @@ ·gŽ¡‘ ÂelseŽ‘0Øá±=·‘ÿý«Ellipse–UUdoGesn't“lie“in“a“plane“parallel“to“a“ma‘Ž8jor“plane.‘o·±=Ž¡‘ ·fŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EllipseÈ Ýdoesn'tÈ ÝlieŽ‘kÆÜÈ ÝinÈ ÝaÈ ÝplaneÈ ÝparallelŽ’ÔÆ È ÝtoÈ ÝaÈ ÝmajorÈ Ýplane.\nŽ’=Æd"Ž’FSá·‘ÇÏ ushŽ‘€«;Ž¡‘-±=·‘ÿý«Put–UUit“in“x-z“plane.‘o·±=Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc–ÿ}'opy‘‰ffŽ‘®c“enterŽ‘PâB±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"c"Ž‘F_«);Ž¡‘·gަ‘ÂP•®9oin“tŽ‘2ïŸÏel‘‚Ølipse‘‰ffŽ‘®pt0Ž‘c仫=‘ÇÏc‘ÿ}'opyŽ‘W±:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(0Ž‘);Ž¡‘ÂT‘ÿ -«ransformŽ‘KÈÔÏt0Ž‘VŸ«;ަ‘Ït0Ž‘Lͱ:Ïalign‘‰ffŽ–®with‘‰ffŽ“axisŽ‘@²x«(Ïc–ÿ}'opy‘‰ffŽ‘®c“enterŽ‘2â?±;‘ª¨Ïel‘‚Ølipse‘‰ffŽ‘®pt0Ž‘/ج±;‘ª¨Ý'x'Ž‘ñ«);Ž¡‘Ïc‘ÿ}'opyŽ‘+W·«=ŽŽ‘:åIÏt0Ž‘E2«;Ž¡‘Ïc–ÿ}'opy‘‰ffŽ‘®c“enterŽ‘I©Y·«=ŽŽ‘Y7Ït0Ž‘c„[«;Ž¡‘Ïel‘‚Ølipse‘‰ffŽ‘®pt0Ž‘Dõ·«=ŽŽ‘TƒUÏt0Ž‘^Ð «;Ž¡‘±eŽ‘o·«=ŽŽ‘*ýRÏt0Ž‘5J«;Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽŽŽŒ‹N½. Šn ý‘ì«334›ÂELLIPSE‘ÕX­AR•ÃŽGUMENT’÷âò3DLDFPR“G˜·x«1177Ž €n ý•@P‘Ïel‘‚Ølipse‘‰ffŽ‘®pt0Ž‘L.±:ÏshowŽ‘Šÿ«(Ý"ellipse_pt0"Ž‘DÆA«);ޤ ‘Ïel‘‚Ølipse‘‰ffŽ‘®pt0Ž‘L.±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"0"Ž‘F_«);Ž¡‘·gޤ‘ÂP•®9oin“tŽ‘2ïŸÏel‘‚Ølipse‘‰ffŽ‘®pt4Ž‘c仫=‘ÇÏc‘ÿ}'opyŽ‘W±:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(Ïnumb›ÿ}'er‘‰ffŽ–®of‘‰ffŽ“p˜ointsŽ‘JÀ©±=«4Ž‘);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïel‘‚Ølipse‘‰ffŽ‘®pt4Ž‘3.±:ÏshowŽ‘Šÿ«(Ý"ellipse_pt4"Ž‘DÆA«);Ž¡‘ÂT‘ÿ +«ransformŽ‘KÈÔÏt0Ž‘VŸ«;ަ‘Ït0Ž‘Lͱ:Ïalign‘‰ffŽ–®with‘‰ffŽ“axisŽ‘@²x«(Ïc–ÿ}'opy‘‰ffŽ‘®c“enterŽ‘2â?±;‘ª¨Ïel‘‚Ølipse‘‰ffŽ‘®pt0Ž‘/ج±;‘ª¨Ý'x'Ž‘ñ«);Ž¡‘Ïc‘ÿ}'opyŽ‘+W·«=ŽŽ‘:åIÏt0Ž‘E2«;Ž¡‘Ïc–ÿ}'opy‘‰ffŽ‘®c“enterŽ‘I©Y·«=ŽŽ‘Y7Ït0Ž‘c„[«;Ž¡‘Ïel‘‚Ølipse‘‰ffŽ‘®pt0Ž‘Dõ·«=ŽŽ‘TƒUÏt0Ž‘^Ð «;Ž¡‘±eŽ‘o·«=ŽŽ‘*ýRÏt0Ž‘5J«;Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽŽŽŒ‹R¾^ Šn ý‘ì«338›ÂELLIPSE‘ÕX­AR•ÃŽGUMENT’÷âò3DLDFPR“G˜·x«1182Ž €n ý•@P‘Ïel‘‚Ølipse‘‰ffŽ‘®pt0Ž‘L.±:ÏshowŽ‘Šÿ«(Ý"ellipse_pt0"Ž‘DÆA«);ޤ ‘Ïel‘‚Ølipse‘‰ffŽ‘®pt0Ž‘L.±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"0"Ž‘F_«);Ž¡‘·gޤ‘ÂP•®9oin“tŽ‘2ïŸÏel‘‚Ølipse‘‰ffŽ‘®pt4Ž‘c仫=‘ÇÏc‘ÿ}'opyŽ‘W±:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(Ïnumb›ÿ}'er‘‰ffŽ–®of‘‰ffŽ“p˜ointsŽ‘JÀ©±=«4Ž‘);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïel‘‚Ølipse‘‰ffŽ‘®pt4Ž‘3.±:ÏshowŽ‘Šÿ«(Ý"ellipse_pt4"Ž‘DÆA«);Ž¡‘ÂT‘ÿ «ransformŽ‘KÈÔÏt1Ž‘VŸ«;Ž¡‘Ït1Ž‘Lͱ:Ïalign‘‰ffŽ–®with‘‰ffŽ“axisŽ‘@²x«(Ïc–ÿ}'opy‘‰ffŽ‘®c“enterŽ‘2â?±;‘ª¨Ïel‘‚Ølipse‘‰ffŽ‘®pt4Ž‘/ج±;‘ª¨Ý'z'Ž‘ñ«);ޤ ‘Ïc‘ÿ}'opyŽ‘+W·«=ŽŽ‘:åIÏt1Ž‘E2«;Ž¡‘Ïc–ÿ}'opy‘‰ffŽ‘®c“enterŽ‘I©Y·«=ŽŽ‘Y7Ït1Ž‘c„[«;Ž¡‘±eŽ‘o·«=ŽŽ‘*ýRÏt1Ž‘5J«;Ž¡‘Ïel‘‚Ølipse‘‰ffŽ‘®pt4Ž‘Dõ·«=ŽŽ‘TƒUÏt1Ž‘^Ð «;Ž¡‘±tŽ‘cŒ·«=ŽŽ‘)ñÃÏt0Ž‘4>Ž«;Ž¡‘±tŽ‘cŒ·«=ŽŽ‘)ñÃÏt1Ž‘4>Ž«;Ž¡‘ÏorientationŽ‘H:Y«=‘ÇÝX_ZŽ‘ w«;Ž¡‘ ·gŽ¡‘ Ït‘‰ffŽ‘®inverseŽ‘3Ö.«=‘DZtŽ‘cŠ:ÏinverseŽ‘ ‡«(‘ª¨);ޤ‘ ÂP•®9oin“tŽ‘(ïžÏe‘‰ffŽ‘®c‘ÿ}'enterŽ‘Pë«=‘DZeŽ‘o:Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ‘,=G«(‘ª¨);Ž¡‘ ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘·fޤ ‘Ïc–ÿ}'opy‘‰ffŽ‘®c“enterŽ‘FâA±:ÏshowŽ‘Šÿ«(Ý"copy_center"Ž‘DÆA«);Ž¡‘Ïe‘‰ffŽ‘®c‘ÿ}'enterŽ‘8Q7±:ÏshowŽ‘Šÿ«(Ý"e_center"Ž‘5J«);Ž¡‘ -·gŽŽŽŒ‹OÌ÷ Šn ý‘ì·x«1178›­3DLDFPR•ÃŽG’÷âòÂELLIPSE‘ÕX­AR“GUMENT˜«335Ž €n ý•@PÂ1178.‘ ü«Ellipses›Eha•¸ãv“e˜the˜same˜cen“ter˜and˜orien“tation.‘XIf˜they˜do,‘®then˜there˜is˜an˜algebraic˜solution˜w“e˜canޤ apply–UUto“ nd“the“inš¸ãtersection“pGoin˜ts.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·Ž¡‘ +·gŽŽŽŒ‹SÍü Šn ý‘ì·x«1183›­3DLDFPR•ÃŽG’÷âòÂELLIPSE‘ÕX­AR“GUMENT˜«339Ž €n ý•@PÂ1183.‘ ü«Ellipses›Eha•¸ãv“e˜the˜same˜cen“ter˜and˜orien“tation.‘XIf˜they˜do,‘®then˜there˜is˜an˜algebraic˜solution˜w“e˜canޤ apply–UUto“ nd“the“inš¸ãtersection“pGoin˜ts.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·Ž¡‘ ÂP•®9oin“tŽ‘(ïžÏc‘ÿ}'opy‘‰ffŽ–®axis‘‰ffŽ“orientationŽ’…Ñq«(Ïc‘ÿ}'opyŽ‘ø±:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(0Ž‘));ަ‘ Ïc‘ÿ}'opy‘‰ffŽ–®axis‘‰ffŽ“orientationŽ‘i¨ì·«=ŽŽ‘{þ@Ïc–ÿ}'opy‘‰ffŽ‘®c“enterŽ’®à«;Ž¡‘ Ïc‘ÿ}'opy‘‰ffŽ–®axis‘‰ffŽ“orientationŽ‘fáÔ±:Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘0•u«(Ïtrueޑƫ);Ž¡‘ @@ -4321,7 +4382,7 @@ Ïnumer‘ÿ}'atorŽ‘;™'«=‘ÇÏbbŽ‘W˜·–8à«(ÏaaŽ‘ ¸ý·“Ïc‘ÿ}'cŽ‘ üÅ«);Ž¡‘ ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"numeratorÈ Ý==È Ý"Ž‘TÔk·‘ÇÏnumer‘ÿ}'atorŽ‘4`>·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"denominatorÈ Ý==È Ý"Ž‘_Te·‘ÇÏdenominatorŽ‘>6þ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ ·gŽ¡‘ -ÂifŽ‘´ù«(ÏdenominatorŽ‘;oæ·‘Ç«0Ž‘Ç)‘·fŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"xÈ Ý==È ÝINVALID_REAL.\Ž‘kÆÜn"Ž‘vÍ>«;ŽŽŽŒ‹PÓD Šn ý‘ì«336›ÂELLIPSE‘ÕX­AR•ÃŽGUMENT’÷âò3DLDFPR“G˜·x«1178Ž €n ý•@P‘±xŽ‘~6«=‘ÇÝINVALID_REALŽ‘BM\«;ޤ ‘ +ÂifŽ‘´ù«(ÏdenominatorŽ‘;oæ·‘Ç«0Ž‘Ç)‘·fŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"xÈ Ý==È ÝINVALID_REAL.\Ž‘kÆÜn"Ž‘vÍ>«;ŽŽŽŒ‹TÔI Šn ý‘ì«340›ÂELLIPSE‘ÕX­AR•ÃŽGUMENT’÷âò3DLDFPR“G˜·x«1183Ž €n ý•@P‘±xŽ‘~6«=‘ÇÝINVALID_REALŽ‘BM\«;ޤ ‘ ·gŽ¡‘ ÂelseŽ‘!Øà·fŽ¡‘ÂtryŽ‘)3·fŽ¡‘±xŽ‘&~7«=‘Ç·Ž‘ Ž6«(±cŽ‘Œ»·‘8àÏsqrtŽ‘èÙ«(1Ž‘8á·‘8à«(Ïnumer‘ÿ}'atorŽ‘.Ò±=ÏdenominatorŽ‘8¨Î«)));Ž¡‘·gŽ©‘Âcatc®9hŽ‘.í׫(–ª¨±:“:“:Ž‘ÿ÷«)Ž¡‘·fŽ¡‘±xŽ‘&~7«=‘ÇÝINVALID_REALŽ‘BM\«;Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"xÈ Ý==È ÝINVALID_REAL\nŽ‘kÆÜ"Ž‘qA«;Ž¡‘·gŽ¡‘ @@ -4342,10 +4403,10 @@ gŽ¡‘ ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"yÈ Ý==È Ý"Ž‘*Ôƒ·‘DZyŽ‘ Ñ(·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ -·gŽŽŽŒ‹Qå; Šn ý‘ì·x«1179›­3DLDFPR•ÃŽG’÷âòÂELLIPSE‘ÕX­AR“GUMENT˜«337Ž €n ý•@PÂ1179.‘ ü«The–UUellipses“can“inš¸ãtersect“at“no“pGoin˜ts,“t˜w˜o“pGoin˜ts,“or“four“pGoin˜ts.ޤ ·Ž‘ +·gŽŽŽŒ‹Uæ@ Šn ý‘ì·x«1184›­3DLDFPR•ÃŽG’÷âòÂELLIPSE‘ÕX­AR“GUMENT˜«341Ž €n ý•@PÂ1184.‘ ü«The–UUellipses“can“inš¸ãtersect“at“no“pGoin˜ts,“t˜w˜o“pGoin˜ts,“or“four“pGoin˜ts.ޤ ·Ž‘ «If–UUthey“do“not“inš¸ãtersect,“then“one“of“the“ellipses“m˜ust“bGe“inside“the“other.Ž¡·Ž‘ «If–UUthey“inš¸ãtersect“at“t˜w˜o“pGoin˜ts,“then“either“±x–Ç«=“0–UUor“±y‘"ñ«=‘Ç0“(but“not“bGoth).Ž¡·Ž‘ -«Otherwise,–UUthey“inš¸ãtersect“at“four“pGoin˜ts.ŽŸ·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·Ž¡‘ +«Otherwise,–UUthey“inš¸ãtersect“at“four“pGoin˜ts.ŽŸ·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·Ž¡‘ ÂifŽ‘´ù«(±xŽ‘~4·‘ÇÝINVALID_REALŽ‘D†<·_‘8à±yŽ‘ Bð·‘ÇÝINVALID_REALŽ‘BM\«)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘,‡Ó·‘Ò+Ý"WARNING!È ÝInÈ ÝEllipseŽ‘nÑï::intersection_pointŽ’×ѳs(Ellipse).\n"Ž’'ª·Ž¡‘(Ý"EllipsesÈ Ýdon'tÈ ÝinteŽ’ÿÈrsect.È Ý"Ž’¾M0·‘ÇÝ"ReturningÈ ÝINVALID_BŽ‘kÆÜOOL_POINT_QUADRUPLE.Ž’ÔÆ \n\n"Ž’ïŒù«;Ž¡‘ÂreturnŽ‘7æ¼ÝINVALID_BOOL_POINT_QUADRUPLEŽ’ËlЫ;Ž¡‘ ·gŽ¡‘ @@ -4362,7 +4423,7 @@ gŽ¡‘ ÂelseŽ‘!Øà·fŽ¡‘Ïc‘ÿ}'errŽ‘,Ì¿·‘Ý"ERROR!È ÝInÈ ÝEllipse::Ž‘oÛintersection_points(Ž’ØŸEllipse).\n"Ž’³ú·Ž¡‘(Ý"ThisÈ Ýcan'tÈ Ýhappen!È Ž’ÿÈÝorientationÈ ÝhasÈ ÝinvaŽ’ùÿŒlidÈ Ývalue:È Ý"Ž’>O×·‘ÊÏorientationŽ‘;M·Ž¡‘(Ïend‘‚ØlŽ‘>¸Þ·‘ÇÝ"WillÈ ÝtoÈ ÝtryÈ ÝtoÈ ÝcontŽ‘kÆÜinue.\n\n"Ž’£”>·‘ÇÏ ushŽ‘€«;Ž¡‘ ·gŽ¡‘ -ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘·fŽŽŽŒ‹RìÙ Šn ý‘ì«338›ÂELLIPSE‘ÕX­AR•ÃŽGUMENT’÷âò3DLDFPR“G˜·x«1179Ž €n ý•@P‘Ïpt20Ž‘(…­±:ÏshowŽ‘Šÿ«(Ý"pt20"Ž‘ V«);ޤ ‘Ïpt20Ž‘(…­±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"20"Ž‘†\«);Ž¡‘Ïpt21Ž‘(…­±:ÏshowŽ‘Šÿ«(Ý"pt21"Ž‘ V«);Ž¡‘Ïpt21Ž‘(…­±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"21"Ž‘†\«);Ž¡‘Ïpt22Ž‘(…­±:ÏshowŽ‘Šÿ«(Ý"pt22"Ž‘ V«);Ž¡‘Ïpt22Ž‘(…­±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"22"Ž‘†\«);Ž¡‘Ïpt23Ž‘(…­±:ÏshowŽ‘Šÿ«(Ý"pt23"Ž‘ V«);Ž¡‘Ïpt23Ž‘(…­±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"23"Ž‘†\«);Ž¡‘ +ÂifŽ‘´ù«(ÝDEBUGŽ‘ÆY«)‘·fŽŽŽŒ‹VíÞ Šn ý‘ì«342›ÂELLIPSE‘ÕX­AR•ÃŽGUMENT’÷âò3DLDFPR“G˜·x«1184Ž €n ý•@P‘Ïpt20Ž‘(…­±:ÏshowŽ‘Šÿ«(Ý"pt20"Ž‘ V«);ޤ ‘Ïpt20Ž‘(…­±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"20"Ž‘†\«);Ž¡‘Ïpt21Ž‘(…­±:ÏshowŽ‘Šÿ«(Ý"pt21"Ž‘ V«);Ž¡‘Ïpt21Ž‘(…­±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"21"Ž‘†\«);Ž¡‘Ïpt22Ž‘(…­±:ÏshowŽ‘Šÿ«(Ý"pt22"Ž‘ V«);Ž¡‘Ïpt22Ž‘(…­±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"22"Ž‘†\«);Ž¡‘Ïpt23Ž‘(…­±:ÏshowŽ‘Šÿ«(Ý"pt23"Ž‘ V«);Ž¡‘Ïpt23Ž‘(…­±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"23"Ž‘†\«);Ž¡‘ ·gŽ©Ø‘ ÂsignedŽ‘-o÷shortŽ‘K:šÏss‘‰ffŽ‘®c‘ÿ}'opyŽ‘k¦%«;Ž¡‘ ÂsignedŽ‘-o÷shortŽ‘K:šÏss‘‰ffŽ‘®eŽ‘\òù«;ަ‘ @@ -4373,162 +4434,162 @@ ÂelseŽ‘!Øà·fŽ¡‘Ïc‘ÿ}'errŽ‘)|À·‘ÇÝ"WARNING!È ÝInÈ ÝEllipseŽ‘kÆÜ::intersection_pointŽ’ÔÆ s(Ellipse).\n"Ž’ÌÞ«;Ž¡‘Ïss‘‰ffŽ‘®eŽ‘(y«=‘DZeŽ‘o:Ïlo–ÿ}'c“ationŽ‘"Á}«(Ïc‘ÿ}'opyŽ‘ø±:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(0Ž‘));Ž¡‘ÂifŽ‘´ú«(Ïss‘‰ffŽ‘®eŽ‘w·‘Ç«1Ž‘Ç)‘Ïc‘ÿ}'errŽ‘|¾·‘ÇÝ"*thisÈ ÝisÈ ÝinsideÈ ÝofÈ Ž‘kÆÜÝe.\n"Ž’†5«;Ž¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ïss‘‰ffŽ‘®eŽ‘w·‘ÇŽ‘ Ž6«1Ž‘Ž7)‘Ïc‘ÿ}'errŽ‘|¾·‘ÇÝ"eÈ ÝisÈ ÝinsideÈ ÝofÈ Ý*thiŽ‘kÆÜs.\n"Ž’†5«;Ž¡‘ÂelseŽ‘+Øá·fŽ¡‘Ïc‘ÿ}'errŽ‘3|Á·‘ÇÝ"ThisÈ Ýcan'tÈ Ýhappen!È Ž‘kÆÜÝInvalidÈ ÝvalueÈ ÝforÈ ÝssŽ’ÔÆ _e:È Ý"Ž’òT·‘ÇÏss‘‰ffŽ‘®eŽ‘F·‘ÇÏend‘‚ØlŽ‘¸Ú«;Ž¡‘·gŽ¡‘Ïc‘ÿ}'errŽ‘)|À·‘ÇÝ"NoÈ Ýintersection.\n"Ž‘o\·‘ÇÝ"ReturningÈ ÝINVALID_BŽ‘kÆÜOOL_POINT_QUADRUPLE.Ž’ÔÆ \n\n"Ž’ïŒù«;Ž¡‘ÂreturnŽ‘7æ¼ÝINVALID_BOOL_POINT_QUADRUPLEŽ’ËlЫ;Ž¡‘ ·gŽ¡‘ -g‘±=·‘ÿý«End–UUof“\Ellipses“ha•¸ãv“e–UUthe“same“cenš¸ãter“and“axis“orien˜tation".‘o·±=ŽŽŽŒ‹Sù$ Šn ý‘ì·x«1180›­3DLDFPR•ÃŽG’÷âòÂELLIPSE‘ÕX­AR“GUMENT˜«339Ž €n ý•@PÂ1180.‘ ü«Ellipses›ýóha•¸ãv“e˜di eren“t˜cen“ters˜and/or˜axis˜orien“tation.‘T§There˜is˜no˜simple˜algebraic˜solution˜for˜thisޤ case,–UUso“I“ha•¸ãv“e–UUto“implemenš¸ãt“a“n˜umerical“one“here.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·Ž¡‘ +g‘±=·‘ÿý«End–UUof“\Ellipses“ha•¸ãv“e–UUthe“same“cenš¸ãter“and“axis“orien˜tation".‘o·±=ŽŽŽŒ‹Wú) Šn ý‘ì·x«1185›­3DLDFPR•ÃŽG’÷âòÂELLIPSE‘ÕX­AR“GUMENT˜«343Ž €n ý•@PÂ1185.‘ ü«Ellipses›ýóha•¸ãv“e˜di eren“t˜cen“ters˜and/or˜axis˜orien“tation.‘T§There˜is˜no˜simple˜algebraic˜solution˜for˜thisޤ case,–UUso“I“ha•¸ãv“e–UUto“implemenš¸ãt“a“n˜umerical“one“here.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·Ž¡‘ ÂelseŽ‘!Øà·fŽ¡‘ÂifŽ‘ Ìh«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ò·‘˜ÎÝ"TheÈ ÝtwoÈ ÝellipsesÈ ÝdoŽ‘m˜’n'tÈ ÝhaveÈ ÝtheÈ ÝsameÈ ÝceŽ’Ö˜VnterÈ Ýand/orÈ Ý"Ž’÷e·Ž¡‘2Ý"theÈ ÝaxisÈ ÝorientatioŽ’šÿÉnÈ ÝisÈ Ýdifferent.\n"Ž’úû«;ަ‘ÂP•®9oin“tŽ‘2ïŸÏcurr‘‰ffŽ‘®p‘ÿ}'ointŽ‘`2›«;Ž¡‘ÂsignedŽ‘7oøshortŽ‘U:›Ïcurr‘‰ffŽ‘®lo–ÿ}'c“ationŽ’Žˆ«;Ž¡‘ÂsignedŽ‘7oøshortŽ‘U:›Ïlo–ÿ}'c“ation‘‰ffŽ‘®switchŽ’–u«;Ž¡‘ÂunsignedŽ‘D7shortŽ‘b³Ïinterse‘ÿ}'ction‘‰ffŽ‘®ctrŽ’¨ë«=‘Ç0Ž‘Ç;Ž¡‘ÂrealŽ‘*³0Ïsave‘‰ffŽ‘®angleŽ‘X‡ô«;Ž¡‘ÂrealŽ‘*³0Ïin‘‰ffŽ‘®angleŽ‘NÑî«;Ž¡‘ÂrealŽ‘*³0Ïout‘‰ffŽ‘®angleŽ‘Sî]«;Ž¡‘ÂrealŽ‘*³0Ïtest‘‰ffŽ‘®angleŽ‘Uvã«;ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘±eŽ‘"¨:ÏshowŽ‘Šÿ«(Ý"e:"Ž‘†\«);Ž¡‘Ïc‘ÿ}'opyŽ‘2û±:ÏshowŽ‘Šÿ«(Ý"copy:"Ž‘%FS«);Ž¡‘·gŽ¡‘Ïc‘ÿ}'outŽ‘/N·‘õWÝ"InÈ ÝEllipse::interseŽ‘põction_points():\n"Ž’×𤷎¡‘(Ý"SearchingÈ ÝforÈ ÝEllipŽ’ÿÈseÈ Ýintersections.È Ý"Ž’ø ·‘ÇÝ"ThisÈ ÝcanÈ ÝtakeÈ ÝsomeÈ Ž‘kÆÜÝtime...\n\n"Ž’®8·‘ÇÏ ushŽ‘€«;Ž¡‘ÂforŽ‘%舫(ÂrealŽ‘³.±iŽ‘ì:«=‘Ç0Ž‘Ç;‘ÿý±iŽ– 9 <‘Ç«360ŽŽ‘Ç;‘ÿý±iŽ“«+=ŽŽ‘Ž]±:«5ŽŽ‘%U{)‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"iÈ Ý==È Ý"Ž‘*Ôƒ·‘DZiŽ‘ $·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘Ïcurr‘‰ffŽ‘®p‘ÿ}'ointŽ‘N -«=‘ÇÏc‘ÿ}'opyŽ‘W±:Ïangle‘‰ffŽ‘®p‘ÿ}'ointŽ‘1Y½«(±iŽ‘qô«);Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïcurr‘‰ffŽ‘®p‘ÿ}'ointŽ‘2Bü±:ÏshowŽ‘Šÿ«(Ý"curr_point"Ž‘?†D«);Ž¡‘Ïcurr‘‰ffŽ‘®lo–ÿ}'c“ationŽ‘Y«=‘DZeŽ‘o:Ïlo–ÿ}'c“ationŽ‘"Á}«(Ïcurr‘‰ffŽ‘®p‘ÿ}'ointŽ‘-Bü«);Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"curr_locationÈ Ý==È Ý"Ž‘iÔ_·‘ÇÏcurr‘‰ffŽ‘®lo–ÿ}'c“ationŽ‘>d·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ÂifŽ‘)´û«(Ïcurr‘‰ffŽ‘®lo–ÿ}'c“ationŽ‘;·‘Ç«0Ž‘Ç)‘·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"FoundÈ ÝanÈ ÝintersectiŽ‘kÆÜonÈ Ýpoint!\n"Ž’«M «;Ž¡‘2Ïcurr‘‰ffŽ‘®p‘ÿ}'ointŽ‘_C±:ÏshowŽ‘Šÿ«(Ý"curr_point:"Ž‘DÆA«);Ž¡‘(·gŽ¡‘(h‘ª¨«Handle–UUinš¸ãtersection“pGoin˜t‘@­1181‘ª¨·iŽ¡‘(±iŽ‘.9«+=ŽŽ‘@Žd±:«5ŽŽ‘HU‚;Ž¡‘(Ïsave‘‰ffŽ‘®angleŽ‘X›à«=‘DZiŽ‘9 «;Ž¡‘(Ïcurr‘‰ffŽ‘®p‘ÿ}'ointŽ‘X +«=‘ÇÏc‘ÿ}'opyŽ‘W±:Ïangle‘‰ffŽ‘®p‘ÿ}'ointŽ‘1Y½«(±iŽ‘qô«);Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïcurr‘‰ffŽ‘®p‘ÿ}'ointŽ‘2Bü±:ÏshowŽ‘Šÿ«(Ý"curr_point"Ž‘?†D«);Ž¡‘Ïcurr‘‰ffŽ‘®lo–ÿ}'c“ationŽ‘Y«=‘DZeŽ‘o:Ïlo–ÿ}'c“ationŽ‘"Á}«(Ïcurr‘‰ffŽ‘®p‘ÿ}'ointŽ‘-Bü«);Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"curr_locationÈ Ý==È Ý"Ž‘iÔ_·‘ÇÏcurr‘‰ffŽ‘®lo–ÿ}'c“ationŽ‘>d·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ÂifŽ‘)´û«(Ïcurr‘‰ffŽ‘®lo–ÿ}'c“ationŽ‘;·‘Ç«0Ž‘Ç)‘·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"FoundÈ ÝanÈ ÝintersectiŽ‘kÆÜonÈ Ýpoint!\n"Ž’«M «;Ž¡‘2Ïcurr‘‰ffŽ‘®p‘ÿ}'ointŽ‘_C±:ÏshowŽ‘Šÿ«(Ý"curr_point:"Ž‘DÆA«);Ž¡‘(·gŽ¡‘(h‘ª¨«Handle–UUinš¸ãtersection“pGoin˜t‘@­1186‘ª¨·iŽ¡‘(±iŽ‘.9«+=ŽŽ‘@Žd±:«5ŽŽ‘HU‚;Ž¡‘(Ïsave‘‰ffŽ‘®angleŽ‘X›à«=‘DZiŽ‘9 «;Ž¡‘(Ïcurr‘‰ffŽ‘®p‘ÿ}'ointŽ‘X «=‘ÇÏc‘ÿ}'opyŽ‘W±:Ïangle‘‰ffŽ‘®p‘ÿ}'ointŽ‘1Y½«(±iŽ‘qô«);Ž¡‘(Ïlo–ÿ}'c“ation‘‰ffŽ‘®switchŽ‘l ö«=‘DZeŽ‘o:Ïlo–ÿ}'c“ationŽ‘"Á}«(Ïcurr‘‰ffŽ‘®p‘ÿ}'ointŽ‘-Bü«);Ž¡‘(Âcon•®9tin“ueŽ‘R湫;Ž¡‘·g‘±=·‘ÿýÂifŽ‘ _ «.‘qÇEnd–UUof“\F‘ÿ*ªound“an“inš¸ãtersection“pGoin˜t".‘o·±=Ž¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(±iŽ‘9 ·‘Ç«0Ž‘Ç)‘·fŽ¡‘(Ïlo–ÿ}'c“ation‘‰ffŽ‘®switchŽ‘l ö«=‘ÇÏcurr‘‰ffŽ‘®lo–ÿ}'c“ationŽ‘;«;Ž¡‘(Ïsave‘‰ffŽ‘®angleŽ‘X›à«=‘Ç0Ž‘Ç;Ž¡‘(Âcon•®9tin“ueŽ‘R湫;Ž¡‘·gŽ¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(Ïcurr‘‰ffŽ‘®lo–ÿ}'c“ationŽ‘;·‘Ç«1Ž‘Ç)‘·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"PointÈ ÝisÈ ÝinsideÈ Ýe.\Ž‘kÆÜn"Ž‘vÍ>«;Ž¡‘·gŽ¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(Ïcurr‘‰ffŽ‘®lo–ÿ}'c“ationŽ‘;·‘ÇŽ‘ -Ž6«1Ž‘Ž7)‘·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"PointÈ ÝisÈ ÝoutsideÈ Ýe.Ž‘kÆÜ\n"Ž‘| ;«;Ž¡‘·gŽ¡‘ÂelseŽ‘5Øâ·fŽŽŽŒ‹T² Šn ý‘ì«340›ÂELLIPSE‘ÕX­AR•ÃŽGUMENT’÷âò3DLDFPR“G˜·x«1180Ž €n ý•@P‘(Ïc‘ÿ}'errŽ‘A:²·‘…Ý"ERROR!È ÝInÈ ÝEllipse::Ž‘o„Ìintersection_points(Ž’Ø„):\n"Ž’ùÏñ·ޤ ‘<Ý"ThisÈ Ýcan'tÈ Ýhappen!È Ž’¤ÿÊÝcurr_locationÈ ÝhasÈ ÝbaŽ’ ÿŽdÈ Ývalue:È Ý"Ž’Ga ·‘[1Ïcurr‘‰ffŽ‘®lo–ÿ}'c“ationŽ‘AŒO·Ž¡‘<Ý"È Ý"Ž‘O }·‘ÇÝ"ReturningÈ ÝINVALID_BŽ‘kÆÜOOL_POINT_QUADRUPLE\Ž’ÔÆ n\n"Ž’í·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾ÝINVALID_BOOL_POINT_QUADRUPLEŽ’ßlÒ«;Ž¡‘·gŽ¡‘ÂifŽ‘)´û«(Ïcurr‘‰ffŽ‘®lo–ÿ}'c“ationŽ‘;·6«=‘ÇÏlo–ÿ}'c“ation‘‰ffŽ‘®switchŽ‘D ò«)‘·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"FoundÈ ÝaÈ Ýtransition!Ž‘kÆÜ\n"Ž‘| ;«;Ž¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"iÈ Ý==È Ý"Ž‘*Ôƒ·‘DZiŽ‘ $·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"save_angleÈ Ý==È Ý"Ž‘Zh·‘ÇÏsave‘‰ffŽ‘®angleŽ‘3bô·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"curr_locationÈ Ý==È Ý"Ž‘iÔ_·‘ÇÏcurr‘‰ffŽ‘®lo–ÿ}'c“ationŽ‘>d·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"location_switchÈ Ý==È Ž‘kÆÜÝ"Ž‘tTY·‘ÇÏlo–ÿ}'c“ation‘‰ffŽ‘®switchŽ‘FÓ +Ž6«1Ž‘Ž7)‘·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"PointÈ ÝisÈ ÝoutsideÈ Ýe.Ž‘kÆÜ\n"Ž‘| ;«;Ž¡‘·gŽ¡‘ÂelseŽ‘5Øâ·fŽŽŽŒ‹X· Šn ý‘ì«344›ÂELLIPSE‘ÕX­AR•ÃŽGUMENT’÷âò3DLDFPR“G˜·x«1185Ž €n ý•@P‘(Ïc‘ÿ}'errŽ‘A:²·‘…Ý"ERROR!È ÝInÈ ÝEllipse::Ž‘o„Ìintersection_points(Ž’Ø„):\n"Ž’ùÏñ·ޤ ‘<Ý"ThisÈ Ýcan'tÈ Ýhappen!È Ž’¤ÿÊÝcurr_locationÈ ÝhasÈ ÝbaŽ’ ÿŽdÈ Ývalue:È Ý"Ž’Ga ·‘[1Ïcurr‘‰ffŽ‘®lo–ÿ}'c“ationŽ‘AŒO·Ž¡‘<Ý"È Ý"Ž‘O }·‘ÇÝ"ReturningÈ ÝINVALID_BŽ‘kÆÜOOL_POINT_QUADRUPLE\Ž’ÔÆ n\n"Ž’í·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾ÝINVALID_BOOL_POINT_QUADRUPLEŽ’ßlÒ«;Ž¡‘·gŽ¡‘ÂifŽ‘)´û«(Ïcurr‘‰ffŽ‘®lo–ÿ}'c“ationŽ‘;·6«=‘ÇÏlo–ÿ}'c“ation‘‰ffŽ‘®switchŽ‘D ò«)‘·fŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"FoundÈ ÝaÈ Ýtransition!Ž‘kÆÜ\n"Ž‘| ;«;Ž¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"iÈ Ý==È Ý"Ž‘*Ôƒ·‘DZiŽ‘ $·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"save_angleÈ Ý==È Ý"Ž‘Zh·‘ÇÏsave‘‰ffŽ‘®angleŽ‘3bô·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"curr_locationÈ Ý==È Ý"Ž‘iÔ_·‘ÇÏcurr‘‰ffŽ‘®lo–ÿ}'c“ationŽ‘>d·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"location_switchÈ Ý==È Ž‘kÆÜÝ"Ž‘tTY·‘ÇÏlo–ÿ}'c“ation‘‰ffŽ‘®switchŽ‘FÓ ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘(·gŽ¡‘(ÂifŽ‘3´ü«(Ïlo–ÿ}'c“ation‘‰ffŽ‘®switchŽ‘D ò·‘Ç«1Ž‘Ç)‘·fŽ¡‘2Ïin‘‰ffŽ‘®angleŽ‘XåÛ«=‘ÇÏsave‘‰ffŽ‘®angleŽ‘0›Ü«;Ž¡‘2Ïout‘‰ffŽ‘®angleŽ‘^J«=‘DZiŽ‘9 «;Ž¡‘(·gŽ¡‘(ÂelseŽ‘?Øã·fŽ¡‘2Ïin‘‰ffŽ‘®angleŽ‘XåÛ«=‘DZiŽ‘9 «;Ž¡‘2Ïout‘‰ffŽ‘®angleŽ‘^J«=‘ÇÏsave‘‰ffŽ‘®angleŽ‘0›Ü«;Ž¡‘(·gŽ¡‘(ÂwhileŽ‘FC0«(Ïtrueޑƫ)‘·fŽ¡‘2Ïtest‘‰ffŽ‘®angleŽ‘_ŠÐ«=‘Ç(Ïin‘‰ffŽ‘®angleŽ‘&Wž«+‘8àÏout‘‰ffŽ‘®angleŽ‘+t «)±=«2Ž‘;Ž¡‘2Ïcurr‘‰ffŽ‘®p‘ÿ}'ointŽ‘b «=‘ÇÏc‘ÿ}'opyŽ‘W±:Ïangle‘‰ffŽ‘®p‘ÿ}'ointŽ‘1Y½«(Ïtest‘‰ffŽ‘®angleŽ‘*ó«);Ž¡‘2Ïcurr‘‰ffŽ‘®lo–ÿ}'c“ationŽ‘m -«=‘DZeŽ‘o:Ïlo–ÿ}'c“ationŽ‘"Á}«(Ïcurr‘‰ffŽ‘®p‘ÿ}'ointŽ‘-Bü«);Ž¡‘2ÂifŽ‘=´ý«(Ïcurr‘‰ffŽ‘®lo–ÿ}'c“ationŽ‘;·‘Ç«0Ž‘Ç)‘·fŽ¡‘<ÂifŽ‘G´þ«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘FÏc‘ÿ}'outŽ‘\ V·‘ÇÝ"FoundÈ ÝanÈ ÝintersectiŽ‘kÆÜonÈ Ýpoint!\n"Ž’«M «;Ž¡‘FÏcurr‘‰ffŽ‘®p‘ÿ}'ointŽ‘sC±:ÏshowŽ‘Šÿ«(Ý"curr_point:"Ž‘DÆA«);Ž¡‘<·gŽ¡‘<h‘ª¨«Handle–UUinš¸ãtersection“pGoin˜t‘@­1181‘ª¨·iŽ¡‘<±iŽ‘B9«=‘ÇÏ o‘ÿ}'orŽ‘+®«(Ïtest‘‰ffŽ‘®angleŽ‘*ó«);Ž¡‘<±iŽ‘B9«+=ŽŽ‘TŽf±:«5ŽŽ‘\U„;Ž¡‘<ÂifŽ‘G´þ«(±iŽ‘9 <‘ÇÏtest‘‰ffŽ‘®angleŽ‘-ŠË«)‘±iŽ‘ 9 «+=ŽŽ‘Ž`±:«5ŽŽ‘%U~;Ž¡‘<Ïsave‘‰ffŽ‘®angleŽ‘l›â«=‘DZiŽ‘9 «;Ž¡‘<Ïcurr‘‰ffŽ‘®p‘ÿ}'ointŽ‘l +«=‘DZeŽ‘o:Ïlo–ÿ}'c“ationŽ‘"Á}«(Ïcurr‘‰ffŽ‘®p‘ÿ}'ointŽ‘-Bü«);Ž¡‘2ÂifŽ‘=´ý«(Ïcurr‘‰ffŽ‘®lo–ÿ}'c“ationŽ‘;·‘Ç«0Ž‘Ç)‘·fŽ¡‘<ÂifŽ‘G´þ«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘FÏc‘ÿ}'outŽ‘\ V·‘ÇÝ"FoundÈ ÝanÈ ÝintersectiŽ‘kÆÜonÈ Ýpoint!\n"Ž’«M «;Ž¡‘FÏcurr‘‰ffŽ‘®p‘ÿ}'ointŽ‘sC±:ÏshowŽ‘Šÿ«(Ý"curr_point:"Ž‘DÆA«);Ž¡‘<·gŽ¡‘<h‘ª¨«Handle–UUinš¸ãtersection“pGoin˜t‘@­1186‘ª¨·iŽ¡‘<±iŽ‘B9«=‘ÇÏ o‘ÿ}'orŽ‘+®«(Ïtest‘‰ffŽ‘®angleŽ‘*ó«);Ž¡‘<±iŽ‘B9«+=ŽŽ‘TŽf±:«5ŽŽ‘\U„;Ž¡‘<ÂifŽ‘G´þ«(±iŽ‘9 <‘ÇÏtest‘‰ffŽ‘®angleŽ‘-ŠË«)‘±iŽ‘ 9 «+=ŽŽ‘Ž`±:«5ŽŽ‘%U~;Ž¡‘<Ïsave‘‰ffŽ‘®angleŽ‘l›â«=‘DZiŽ‘9 «;Ž¡‘<Ïcurr‘‰ffŽ‘®p‘ÿ}'ointŽ‘l «=‘ÇÏc‘ÿ}'opyŽ‘W±:Ïangle‘‰ffŽ‘®p‘ÿ}'ointŽ‘1Y½«(±iŽ‘qô«);Ž¡‘<Ïlo–ÿ}'c“ation‘‰ffŽ‘®switchŽ’€ ø«=‘DZeŽ‘o:Ïlo–ÿ}'c“ationŽ‘"Á}«(Ïcurr‘‰ffŽ‘®p‘ÿ}'ointŽ‘-Bü«);Ž¡‘<ÂbreakŽ‘X¡j«;Ž¡‘2·gŽ¡‘2ÂelseŽ‘H.9ifŽ‘Sã1«(Ïcurr‘‰ffŽ‘®lo–ÿ}'c“ationŽ‘;·‘Ç«1Ž‘Ç)‘·fŽ¡‘<Ïin‘‰ffŽ‘®angleŽ‘båÜ«=‘ÇÏtest‘‰ffŽ‘®angleŽ‘-ŠË«;Ž¡‘<Âcon•®9tin“ueŽ‘f滫;Ž¡‘2·gŽ¡‘2ÂelseŽ‘H.9ifŽ‘Sã1«(Ïcurr‘‰ffŽ‘®lo–ÿ}'c“ationŽ‘;·‘ÇŽ‘ -Ž6«1Ž‘Ž7)‘·fŽ¡‘<Ïout‘‰ffŽ‘®angleŽ‘hK«=‘ÇÏtest‘‰ffŽ‘®angleŽ‘-ŠË«;Ž¡‘<Âcon•®9tin“ueŽ‘f滫;Ž¡‘2·gŽ¡‘2ÂelseŽ‘IØä·fŽ¡‘<Ïc‘ÿ}'errŽ‘SÆ4·‘ˆÝ"ERROR!È ÝInÈ ÝEllipse::Ž‘nLintersection_points(Ž’×Ellipse).\n"Ž’¦Ü·Ž¡‘PÝ"ThisÈ Ýcan'tÈ Ýhappen!È Ž’¸ÿÌÝInvalidÈ ÝvalueÈ ÝforÈ ÝcuŽ’!ÿrr_location:È Ý"Ž’oSà·‘NÏcurr‘‰ffŽ‘®lo–ÿ}'c“ationŽ‘?r·Ž¡‘PÝ"\nReturningÈ ÝINVALIDŽ’¸ÿÌ_BOOL_POINT_QUADRUPLŽ’!ÿE.\n\n"Ž’J û·‘ÇÏ ushŽ‘€«;Ž¡‘<ÂreturnŽ‘_æÀÝINVALID_BOOL_POINT_QUADRUPLEŽ’ólÔ«;ŽŽŽŒ‹U³ Šn ý‘ì·x«1180›­3DLDFPR•ÃŽG’÷âòÂELLIPSE‘ÕX­AR“GUMENT˜«341Ž €n ý•@P‘2·gޤ ‘(g‘±=·‘ÿýÂwhileŽ‘$íÑ·±=Ž¡‘·g‘±=·‘ÿýÂifŽ‘_·±=Ž¡‘·g‘±=·‘ÿýÂforŽ‘“+·±=Ž¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"FinishedÈ ÝsearchingÈ Ž‘kÆÜÝforÈ ÝEllipseÈ ÝintersecŽ’ÔÆ tions."Ž’üÔ ·‘ÇÏend‘‚ØlŽ–ò·‘ÇÏend‘‚ØlŽ“·‘ÇÏ ushŽ‘€«;Ž¡‘ +Ž6«1Ž‘Ž7)‘·fŽ¡‘<Ïout‘‰ffŽ‘®angleŽ‘hK«=‘ÇÏtest‘‰ffŽ‘®angleŽ‘-ŠË«;Ž¡‘<Âcon•®9tin“ueŽ‘f滫;Ž¡‘2·gŽ¡‘2ÂelseŽ‘IØä·fŽ¡‘<Ïc‘ÿ}'errŽ‘SÆ4·‘ˆÝ"ERROR!È ÝInÈ ÝEllipse::Ž‘nLintersection_points(Ž’×Ellipse).\n"Ž’¦Ü·Ž¡‘PÝ"ThisÈ Ýcan'tÈ Ýhappen!È Ž’¸ÿÌÝInvalidÈ ÝvalueÈ ÝforÈ ÝcuŽ’!ÿrr_location:È Ý"Ž’oSà·‘NÏcurr‘‰ffŽ‘®lo–ÿ}'c“ationŽ‘?r·Ž¡‘PÝ"\nReturningÈ ÝINVALIDŽ’¸ÿÌ_BOOL_POINT_QUADRUPLŽ’!ÿE.\n\n"Ž’J û·‘ÇÏ ushŽ‘€«;Ž¡‘<ÂreturnŽ‘_æÀÝINVALID_BOOL_POINT_QUADRUPLEŽ’ólÔ«;ŽŽŽŒ‹Y¸ Šn ý‘ì·x«1185›­3DLDFPR•ÃŽG’÷âòÂELLIPSE‘ÕX­AR“GUMENT˜«345Ž €n ý•@P‘2·gޤ ‘(g‘±=·‘ÿýÂwhileŽ‘$íÑ·±=Ž¡‘·g‘±=·‘ÿýÂifŽ‘_·±=Ž¡‘·g‘±=·‘ÿýÂforŽ‘“+·±=Ž¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÝ"FinishedÈ ÝsearchingÈ Ž‘kÆÜÝforÈ ÝEllipseÈ ÝintersecŽ’ÔÆ tions."Ž’üÔ ·‘ÇÏend‘‚ØlŽ–ò·‘ÇÏend‘‚ØlŽ“·‘ÇÏ ushŽ‘€«;Ž¡‘ ·g‘±=·‘ÿý«End–UUof“\Ellipses“ha•¸ãv“e›UUdi eren“t˜cen“ters˜and/or˜axis˜orien“tation".‘o·±=Ž¡‘ -·g‘±=·‘ÿý«End–UUof“coplanar“case.‘o·±=ŽŸÂ1181.‘ ü«Handle–UUinš¸ãtersection“pGoin˜t.ŽŸ·h‘ª¨«Handle–UUinš¸ãtersection“pGoin˜t‘@­1181‘ª¨·i‘ÇŽ¡‘ +·g‘±=·‘ÿý«End–UUof“coplanar“case.‘o·±=ŽŸÂ1186.‘ ü«Handle–UUinš¸ãtersection“pGoin˜t.ŽŸ·h‘ª¨«Handle–UUinš¸ãtersection“pGoin˜t‘@­1186‘ª¨·i‘ÇŽ¡‘ fŽ¡‘€Ÿÿ®+‘ÿ+ŽŽ‘ G"Ïinterse‘ÿ}'ction‘‰ffŽ‘®ctrŽ‘diZ«;Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"intersection_ctrÈ Ý==Ž‘kÆÜÈ Ý"Ž‘y”V·‘ÇÏinterse‘ÿ}'ction‘‰ffŽ‘®ctrŽ‘I°h·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(Ïinterse‘ÿ}'ction‘‰ffŽ‘®ctrŽ‘FéP·‘Ç«1Ž‘Ç)‘·fŽ¡‘Ïbp‘ÿ}'qŽ‘-2±:Ï rstŽ‘µª±:bŽ‘«=‘ÇÏtrueŽ‘‹°«;Ž¡‘Ïbp‘ÿ}'qŽ‘-2±:Ï rstŽ‘µª±:ÏptŽ‘ «µ«=‘ÇÏcurr‘‰ffŽ‘®p‘ÿ}'ointŽ‘0 «;Ž¡‘Ïbp‘ÿ}'qŽ‘-2±:Ï rstŽ‘µª±:ÏptŽ‘ «µ·«=ŽŽ‘9ìÏt‘‰ffŽ‘®inverseŽ‘CI«;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ïinterse‘ÿ}'ction‘‰ffŽ‘®ctrŽ‘FéP·‘Ç«2Ž‘Ç)‘·fŽ¡‘Ïbp‘ÿ}'qŽ‘-2±:Ïse–ÿ}'c“ondŽ‘§Ç±:bŽ‘«=‘ÇÏtrueŽ‘‹°«;Ž¡‘Ïbp‘ÿ}'qŽ‘-2±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ «µ«=‘ÇÏcurr‘‰ffŽ‘®p‘ÿ}'ointŽ‘0 «;Ž¡‘Ïbp‘ÿ}'qŽ‘-2±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ «µ·«=ŽŽ‘9ìÏt‘‰ffŽ‘®inverseŽ‘CI«;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ïinterse‘ÿ}'ction‘‰ffŽ‘®ctrŽ‘FéP·‘Ç«3Ž‘Ç)‘·fŽ¡‘Ïbp‘ÿ}'qŽ‘-2±:Ïthir‘ÿ}'dŽ‘Üj±:bŽ‘«=‘ÇÏtrueŽ‘‹°«;Ž¡‘Ïbp‘ÿ}'qŽ‘-2±:Ïthir‘ÿ}'dŽ‘Üj±:ÏptŽ‘ «µ«=‘ÇÏcurr‘‰ffŽ‘®p‘ÿ}'ointŽ‘0 «;Ž¡‘Ïbp‘ÿ}'qŽ‘-2±:Ïthir‘ÿ}'dŽ‘Üj±:ÏptŽ‘ «µ·«=ŽŽ‘9ìÏt‘‰ffŽ‘®inverseŽ‘CI«;Ž¡‘·gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ïinterse‘ÿ}'ction‘‰ffŽ‘®ctrŽ‘FéP·‘Ç«4Ž‘Ç)‘·fŽ¡‘Ïbp‘ÿ}'qŽ‘-2±:ÏfourthŽ‘xù±:bŽ‘«=‘ÇÏtrueŽ‘‹°«;Ž¡‘Ïbp‘ÿ}'qŽ‘-2±:ÏfourthŽ‘xù±:ÏptŽ‘ «µ«=‘ÇÏcurr‘‰ffŽ‘®p‘ÿ}'ointŽ‘0 «;Ž¡‘Ïbp‘ÿ}'qŽ‘-2±:ÏfourthŽ‘xù±:ÏptŽ‘ «µ·«=ŽŽ‘9ìÏt‘‰ffŽ‘®inverseŽ‘CI«;Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÿ9·_‘8àÏverb‘ÿ}'oseŽ‘"Ê=«)‘·fŽ¡‘(Ïc‘ÿ}'outŽ‘?KR·‘òÝ"InÈ ÝEllipse::interseŽ‘lñÛction_points(EllipseŽ’ÕñŸÈ Ýe,È ÝconstÈ ÝboolÈ ÝverboŽ’>ñcse)"Ž’XiÖ·Ž¡‘<Ý"FoundÈ ÝfourthÈ ÝintersŽ’¤ÿÊectionÈ Ýpoint.\n"Ž’üM·‘ÇÝ"ReturningÈ Ýbpq.\n\n"Ž‘lMD«;Ž¡‘·gŽ¡‘ÂreturnŽ‘Aæ½Ïbp‘ÿ}'qŽ‘QÙ«;Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘Ïc‘ÿ}'errŽ‘6‹·‘ÕsÝ"ERROR!È ÝInÈ ÝEllipse::Ž‘nÕ7intersection_points(Ž’×ÔûEllipse).\n"Ž’0²·Ž¡‘2Ý"ThisÈ Ýcan'tÈ Ýhappen!È Ž’šÿÉ ÝInvalidÈ ÝvalueÈ ÝforÈ Ý"Ž’ ;η‘µÙÝ"intersection_ctr:È Ý"Ž‘rñÞ·Ž¡‘2Ïinterse‘ÿ}'ction‘‰ffŽ‘®ctrŽ‘xéU·‘ÇÝ".\nReturningÈ ÝINVALIŽ‘kÆÜD_BOOL_POINT_QUADRUPŽ’ÔÆ LE.\n\n"Ž’ÿLð«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_BOOL_POINT_QUADRUPLEŽ’ÕlÑ«;Ž¡‘·gŽ¡‘ -gŽŸ ­This–ÕXco.±eŽ‘)æ/;‘ª¨ÂconstŽ‘ÕJb•QÇo“olŽ‘9v°Ïverb‘ÿ}'oseŽ‘Z «).‘qÇ[¬LDF‘T2003.07.01.«]ŽŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.07.01.«]Ž‘Y;Added–UUthis“section.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h‘ª¨«Chec•¸ãk›UUin“tersection˜pGoin“t˜loGcations‘@­1184‘ª¨·i‘Çޤ ‘ +ÂreturnŽ‘-æ»Ïbp‘ÿ}'qŽ‘=׫;‘qÇ·gŽ©Â1189.‘ üChec•®9k›mvin“tersection˜pQÇoin“t˜loQÇcations.‘ ü«This–ÙŸis“used“in“the“\Pš¸ãerpGendicular“and“Sk˜ew“Cases"“ofŽ¡Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘QŒß«(ÂEllipseŽ‘%>.±eŽ‘)æ/;‘ª¨ÂconstŽ‘ÕJb•QÇo“olŽ‘9v°Ïverb‘ÿ}'oseŽ‘Z «).‘qÇ[¬LDF‘T2003.07.01.«]ŽŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.07.01.«]Ž‘Y;Added–UUthis“section.ޤŸüÈ„`ÕÁGŽŽ¡·h‘ª¨«Chec•¸ãk›UUin“tersection˜pGoin“t˜loGcations‘@­1189‘ª¨·i‘Çޤ ‘ ÂifŽ‘´ù«(Ïtemp‘‰ffŽ‘®b–ÿ}'o“olŽ‘*Êu«)‘·fŽ¡‘ÂifŽ‘´ú«(Ïverb‘ÿ}'oseŽ‘ ‘]«)‘·fŽ¡‘ÂifŽ‘)´û«(Ïs‘‰ffŽ‘®tŽ‘T·‘Ç«0Ž‘ ÿù·^‘8àÏs‘‰ffŽ‘®eŽ‘¡—·‘Ç«0Ž‘Ç)Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÏtemp‘‰ffŽ‘®stringŽ‘8Â;·‘ÇÝ"È ÝpointÈ ÝliesÈ ÝonÈ ÝtheÈ Ž‘kÆÜÝperimeterÈ ÝofÈ ÝbothÈ ÝelŽ’ÔÆ lipses.\n"Ž’ Ìê«;Ž¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(Ïs‘‰ffŽ‘®tŽ‘T·‘Ç«0Ž‘Ç)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÏtemp‘‰ffŽ‘®stringŽ‘8Â;·‘ÇÝ"È ÝpointÈ ÝliesÈ ÝonÈ ÝtheÈ Ž‘kÆÜÝperimeterÈ ÝofÈ Ý*this.\Ž’ÔÆ n"Ž’ßÍ«;Ž¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(Ïs‘‰ffŽ‘®tŽ‘T·‘ÇŽ‘ Ž6«1Ž‘Ž7)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÏtemp‘‰ffŽ‘®stringŽ‘8Â;·‘ÇÝ"È ÝpointÈ ÝliesÈ ÝoutsideŽ‘kÆÜÈ Ý*this.\n"Ž’ Í&«;Ž¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(Ïs‘‰ffŽ‘®tŽ‘T·‘Ç«1Ž‘Ç)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÏtemp‘‰ffŽ‘®stringŽ‘8Â;·‘ÇÝ"È ÝpointÈ ÝliesÈ ÝinsideÈ Ž‘kÆÜÝ*this.\n"Ž’›)«;Ž¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(Ïs‘‰ffŽ‘®tŽ‘T·‘ÇŽ‘ Ž6«2Ž‘Ž7)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÏtemp‘‰ffŽ‘®stringŽ‘8Â;·‘ÇÝ"È ÝpointÈ Ýdoesn'tÈ ÝlieÈ Ž‘kÆÜÝinÈ ÝtheÈ ÝplaneÈ ÝofÈ Ý*thiŽ’ÔÆ s.\n"Ž’ïŒù«;Ž¡‘ÂifŽ‘)´û«(Ïs‘‰ffŽ‘®eŽ‘h··‘Ç«0Ž‘ ÿù·^‘8àÏs‘‰ffŽ‘®tŽ‘Œø·6«=‘Ç0Ž‘Ç)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÏtemp‘‰ffŽ‘®stringŽ‘8Â;·‘ÇÝ"È ÝpointÈ ÝliesÈ ÝonÈ ÝtheÈ Ž‘kÆÜÝperimeterÈ ÝofÈ Ýe.\n"Ž’ÊÍ«;Ž¡‘ÂifŽ‘)´û«(Ïs‘‰ffŽ‘®eŽ‘h··‘ÇŽ‘ Ž6«1Ž‘Ž7)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÏtemp‘‰ffŽ‘®stringŽ‘8Â;·‘ÇÝ"È ÝpointÈ ÝliesÈ ÝoutsideŽ‘kÆÜÈ Ýe.\n"Ž’‹Í2«;Ž¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(Ïs‘‰ffŽ‘®eŽ‘h··‘Ç«1Ž‘Ç)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÏtemp‘‰ffŽ‘®stringŽ‘8Â;·‘ÇÝ"È ÝpointÈ ÝliesÈ ÝinsideÈ Ž‘kÆÜÝe.\n"Ž’†5«;Ž¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(Ïs‘‰ffŽ‘®eŽ‘h··‘ÇŽ‘ Ž6«2Ž‘Ž7)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÏtemp‘‰ffŽ‘®stringŽ‘8Â;·‘ÇÝ"È ÝpointÈ Ýdoesn'tÈ ÝlieÈ Ž‘kÆÜÝinÈ ÝtheÈ ÝplaneÈ ÝofÈ Ýe.\nŽ’ÔÆ "Ž’Ú«;Ž¡‘·gŽ¡‘ -gŽŸ ­This–ÕXco‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.04.27.«]Ž‘XˆíFinished–Öadding“the“transformation“functions.‘GXI›Õçalready“had“ÏshiftŽ‘ó„«(‘ª®),‘ï}no¸ãw“I˜ha•¸ãv“e–Öthe“restŽ¡of‘UUthem.ŽŸŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦1186.‘ üP®9erforming–ÕTa“transformation.ŽŽŽŒ‹YH´ Šn ý‘ì·x«1187›­3DLDFPR•ÃŽG’¹DO‘ÕXTRANSF“ORM˜«345Ž €n ý•@PÂ1187.– üDo‘ÕTtransform.“«[¬LDF‘T2003.07.20.«]Ž‘Zˆ6P¸ãerforms–UUa“transformation“on“·Ž‘UVÏthisŽ‘A «.ޤ ‘ +gŽŸ ­This–ÕXco‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +If‘xŒÏche‘ÿ}'ckŽ‘®·‘ÈÏtrueŽ‘Æ`«,‘Yand–xŒthe“transformation“došGes“not“cause“·Ž‘xÏthisŽ‘ÜÏ«to“b˜ecome“non-elliptical,‘YÏaxis‘‰ffŽ‘®hŽ‘!ór«and“Ïaxis‘‰ffŽ‘®vŽŽ¡«are‘UUrecalculated.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.07.20.«]Ž‘XIªAdded––Äthis“function.‘2BIt“mak¸ães“it“pšGossible“to“p˜erform“a“transformation“on“an“ÂEllipseŽ‘$«,‘¼âop-Ž¡tionally–mcalling“Ïis‘‰ffŽ‘®el‘‚Øliptic‘ÿ}'alŽ›3í«(‘ª®).‘UzIt“is“called“in“Ïis‘‰ffŽ‘®el‘‚Øliptic‘ÿ}'alŽ˜«(‘ª®)“with“Ïche‘ÿ}'ckŽ‘]ß·‘ÇÏfalseŽ‘v\«.‘UzThis“prev•¸ãen“ts‘mÂopQÇeratorŽ‘.—"·«=ŽŽŽ‘;^A(‘ª¨)Ž¡and‘UUÏis‘‰ffŽ‘®el‘‚Øliptic‘ÿ}'alŽ‘4Aë«(‘ª®)–UUfrom“calling“eac¸ãh“other“Ïad‘“çin nitum«.Ž¡‘ [¬LDF‘T2003.07.25.«]Ž‘Y;Added–UUcoGde“for“recalculating“Ïline–ÿ}'ar‘‰ffŽ‘®e“c“c“entricityŽ‘R0«,“Ïfo‘ÿ}'cus0Ž‘#]Ô«and“Ïfo‘ÿ}'cus1Ž‘ «.Ž¡‘ [¬LDF‘T2003.07.25.«]Ž‘Y;BUG–UUFIX:“Ïaxis‘‰ffŽ‘®hŽ‘!¤7«and“Ïaxis‘‰ffŽ‘®vŽ‘!pˆ«wš¸ãere“toGo“small“b˜y“half.‘qÇNo˜w“m˜ultiplying“b˜y“2.Ž¡‘ -[¬LDF‘T2003.07.25.«]Ž‘Y;Added–UUcoGde“for“recalculating“Ïnumeric–ÿ}'al‘‰ffŽ‘®e“c“c“entricityŽ‘d'#«.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·ŽŸ ‘ +[¬LDF‘T2003.07.25.«]Ž‘Y;Added–UUcoGde“for“recalculating“Ïnumeric–ÿ}'al‘‰ffŽ‘®e“c“c“entricityŽ‘d'#«.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·ŽŸ ‘ ÂvirtualŽ‘/ÔT‘ÿ «ransformŽ‘gV¦Ïdo‘‰ffŽ‘®tr‘ÿ}'ansformŽ’ ðÚ«(ÂconstŽ‘*¢T‘ÿ -«ransformŽ‘Uót«&Ž‘]º’±tŽ‘aW;‘ª¨Âb•QÇo“olŽ‘LÏche‘ÿ}'ckŽ‘6©€«=‘ÇÏfalseŽ‘v\«);ŽŽŽŒ‹ZYˆ Šn ý‘ì«346›­DO‘ÕXTRANSF•ÃŽORM’¹3DLDFPR“G˜·x«1188Ž €n ý•@PÂ1188.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ޤ ‘ +«ransformŽ‘Uót«&Ž‘]º’±tŽ‘aW;‘ª¨Âb•QÇo“olŽ‘LÏche‘ÿ}'ckŽ‘6©€«=‘ÇÏfalseŽ‘v\«);ŽŽŽŒ‹^Z8 Šn ý‘ì«350›­DO‘ÕXTRANSF•ÃŽORM’¹3DLDFPR“G˜·x«1193Ž €n ý•@PÂ1193.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ޤ ‘ ÂT‘ÿ «ransformŽ‘AÈÓEllipseŽ‘d±°«::‘Ïdo‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘:š8«(ÂconstŽ‘*¢T‘ÿ «ransformŽ‘Uót«&Ž‘]º’±tŽ‘aW;‘ª¨Âb•QÇo“olŽ‘LÏche‘ÿ}'ckŽ‘3âh«)Ž¡‘ ·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·–ÿý«true“·±=ަ‘Ïfo‘ÿ}'cus0Ž‘3zD·«=ŽŽ‘C{Ïfo‘ÿ}'cus1Ž‘b‚½·«=ŽŽ‘rôÏc‘ÿ}'enterŽ’á—·«=ŽŽ’ oÎÂP®9athŽ’º6«::Ž’ÀtÂopQÇeratorŽ’ì&)·«=ŽŽŽ’øíH(±tŽ‘œr«);ަ‘ÂrealŽ‘*³0Ïold‘‰ffŽ–®axis‘‰ffŽ“hŽ‘Xé«=‘ÇÏaxis‘‰ffŽ‘®hŽ‘À¥«;Ž¡‘ÂrealŽ‘*³0Ïold‘‰ffŽ–®axis‘‰ffŽ“vŽ‘XµQ«=‘ÇÏaxis‘‰ffŽ‘®vŽ‘Œö«;ަ‘ÂifŽ‘´ú«(Ïche‘ÿ}'ckŽ‘–Z«)‘·fŽ¡‘ÂifŽ‘)´û«(Ïis‘‰ffŽ‘®el‘‚Øliptic‘ÿ}'alŽ‘0ì–«(‘ª®))‘·fŽ¡‘(ÂP•®9oin“tŽ‘FcŽ‘N ”«=‘ÇÏget‘‰ffŽ‘®c‘ÿ}'enterŽ‘/_«(‘ª¨);ަ‘(Ïaxis‘‰ffŽ‘®hŽ‘EÀ©«=‘Ç(Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(0Ž‘)–8à·“±cŽ‘Œ»«)±:ÏmagnitudeŽ‘.=r«(‘ª¨)“·“«2Ž‘8á;Ž¡‘(Ïaxis‘‰ffŽ‘®vŽ‘EŒú«=‘Ç(Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(Ïnumb›ÿ}'er‘‰ffŽ–®of‘‰ffŽ“p˜ointsŽ‘JÀ©±=«4Ž‘)–8à·“±cŽ‘Œ»«)±:ÏmagnitudeŽ‘.=r«(‘ª¨)“·“«2Ž‘8á;ަ‘(ÂrealŽ‘>³2Ïaxis‘‰ffŽ–®h‘‰ffŽ“halfŽ‘qTC«=‘ÇÏaxis‘‰ffŽ‘®hŽ‘À¥±=«2Ž‘;Ž¡‘(ÂrealŽ‘>³2Ïaxis‘‰ffŽ–®v‘‰ffŽ“halfŽ‘pÑj«=‘ÇÏaxis‘‰ffŽ‘®vŽ‘Œö±=«2Ž‘;ަ‘(ÂifŽ‘3j§«(ÏfabsŽ‘2Ò«(Ïaxis‘‰ffŽ‘®hޑ푤7Ïold‘‰ffŽ–®axis‘‰ffŽ“hŽ‘-ï«)–DZ>“ÂP•®9oin“tŽ‘ad«::Ž‘%ï¢ÏepsilonŽ›E^¦«(‘ª¨)–¤7·_“ÏfabsŽ‘× «(Ïaxis‘‰ffŽ‘®vŽ‘j·“Ïold‘‰ffŽ–®axis‘‰ffŽ“vŽ‘,ß@«)–DZ>“ÂP•®9oin“tŽ‘ad«::Ž‘%ï¢ÏepsilonŽ˜«(‘ª¨))‘·fŽ¡‘2ÂifŽ‘?ß«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘O·‘õâÝ"RecalculatingÈ ÝlineaŽ‘nõ¦r_eccentricity,È Ý"Ž’Î±½·Ž¡‘PÝ"numerical_eccentricŽ’¸ÿÌityÈ ÝandÈ Ýfoci.\n"Ž’M·‘ÇÏ ushŽ‘€«;Ž¡‘2ÂifŽ‘=´ý«(Ïaxis‘‰ffŽ‘®hŽ‘À¥·‘ÇÏaxis‘‰ffŽ‘®vŽ‘Œö«)‘·fŽ¡‘<Ïline–ÿ}'ar‘‰ffŽ‘®e“c“c“entricityŽ’sù«=‘ÇÏsqrtŽ‘w«((Ïaxis‘‰ffŽ–®h‘‰ffŽ“halfŽ–2Ù·‘8àÏaxis‘‰ffŽ–®h‘‰ffŽ“halfŽ“«)–8à·“«(Ïaxis‘‰ffŽ–®v‘‰ffŽ“halfŽ›1·“Ïaxis‘‰ffŽ–®v‘‰ffŽ“halfŽ˜«));Ž¡‘<Ïnumeric–ÿ}'al‘‰ffŽ‘®e“c“c“entricityŽ’Ÿ˜ì«=‘ÇÏline–ÿ}'ar‘‰ffŽ‘®e“c“c“entricityŽ‘Qsó±=Ïaxis‘‰ffŽ–®h‘‰ffŽ“halfŽ‘/Ùù«;Ž¡‘<Ïfo‘ÿ}'cus1Ž‘[zH«=‘ÇÏfo‘ÿ}'cus0Ž‘"AZ«=‘Ç(Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(0Ž‘)–8à·“Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ‘.v'«(‘ª¨));Ž¡‘2·gŽ¡‘2ÂelseŽ‘IØä·fŽ¡‘<Ïline–ÿ}'ar‘‰ffŽ‘®e“c“c“entricityŽ’sù«=‘ÇÏsqrtŽ‘w«((Ïaxis‘‰ffŽ–®v‘‰ffŽ“halfŽ–1·‘8àÏaxis‘‰ffŽ–®v‘‰ffŽ“halfŽ“«)–8à·“«(Ïaxis‘‰ffŽ–®h‘‰ffŽ“halfŽ›2Ù·“Ïaxis‘‰ffŽ–®h‘‰ffŽ“halfŽ˜«));Ž¡‘<Ïnumeric–ÿ}'al‘‰ffŽ‘®e“c“c“entricityŽ’Ÿ˜ì«=‘ÇÏline–ÿ}'ar‘‰ffŽ‘®e“c“c“entricityŽ‘Qsó±=Ïaxis‘‰ffŽ–®v‘‰ffŽ“halfŽ‘/W «;Ž¡‘<Ïfo‘ÿ}'cus1Ž‘[zH«=‘ÇÏfo‘ÿ}'cus0Ž‘"AZ«=‘Ç(Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(Ïnumb›ÿ}'er‘‰ffŽ–®of‘‰ffŽ“p˜ointsŽ‘JÀ©±=«4Ž‘)–8à·“Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ‘.v'«(‘ª¨));Ž¡‘2·gŽ¡‘2Ïfo‘ÿ}'cus0Ž‘N³/±:Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘0•u«(Ïtrueޑƫ);Ž¡‘2Ïfo‘ÿ}'cus1Ž‘N³/±:Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘0•u«(Ïtrueޑƫ);Ž¡‘2Ïfo‘ÿ}'cus0Ž‘QzG·«=ŽŽ‘a~·Ž‘hÏœÏline–ÿ}'ar‘‰ffŽ‘®e“c“c“entricityŽ’·|w«;Ž¡‘2Ïfo‘ÿ}'cus1Ž‘QzG·«=ŽŽ‘a~Ïline–ÿ}'ar‘‰ffŽ‘®e“c“c“entricityŽ’¯µY«;Ž¡‘2Ïfo‘ÿ}'cus1Ž‘QzG·«=ŽŽ‘a~Ïfo‘ÿ}'cus0Ž‘}»¨±:ÏshiftŽ‘}«(Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ‘,=G«(‘ª¨));Ž¡‘(·gŽ¡‘(ÂelseŽ‘>.8ifŽ‘Iã0«(ÝDEBUGŽ‘ÆY«)Ž¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"axis_hÈ ÝandÈ Ýaxis_vÈ ÝaŽ‘kÆÜreÈ Ýunchanged.\n"Ž’Ã,·‘ÇÝ"NotÈ ÝrecalculatingÈ ÝfŽ‘kÆÜoci.\n"Ž’“ÔG·‘ÇÏ ushŽ‘€«;Ž¡‘·g‘±=·‘ÿýÂifŽ‘´õ«(Ïis‘‰ffŽ‘®el‘‚Øliptic‘ÿ}'alŽ‘0ì–«(‘ª®))‘ÿý·±=Ž¡‘ÂelseŽ‘5Øâ·fŽ¡‘(Ïc‘ÿ}'errŽ‘?¿¢·‘ øÝ"WARNING!È ÝInÈ ÝEllipseŽ‘n ¼::do_transform(constŽ’× €È ÝTransform&):\n"Ž’0™°·Ž¡‘<Ý"ThisÈ ÝtransformationŽ’¤ÿÊÈ ÝhasÈ ÝmadeÈ Ý*thisÈ Ýnon-Ž’ ÿŽelliptical!"Ž’PLê·‘ÇÏend‘‚ØlŽ–ò·‘ÇÏend‘‚ØlŽ“·‘ÇÏ ushŽ‘€«;Ž¡‘(Ïaxis‘‰ffŽ‘®hŽ‘EÀ©«=‘ÇÏaxis‘‰ffŽ‘®vŽ‘ T«=‘ÇÏline–ÿ}'ar‘‰ffŽ‘®e“c“c“entricityŽ‘T; «=‘ÇÝINVALID_REALŽ‘BM\«;Ž¡‘(Ïnumeric–ÿ}'al‘‰ffŽ‘®e“c“c“entricityŽ’‹˜ê«=‘ÇÝINVALID_REALŽ‘BM\«;Ž¡‘·gŽ¡‘gŽ¡‘ÂreturnŽ‘7æ¼±tŽ‘;ƒ.«;Ž¡‘ -·gŽŽŽŒ‹[cÑ Šn ý‘ì·x«1189–­3DLDFPRÃŽG’,­5OPERA‘ÿJªTOR“«347Ž €n ý•@PÂ1189.‘ üOpQÇerator.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ +·gŽŽŽŒ‹_dV Šn ý‘ì·x«1194–­3DLDFPRÃŽG’,­5OPERA‘ÿJªTOR“«351Ž €n ý•@PÂ1194.‘ üOpQÇerator.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¤ ‘ «[¬LDF‘T2002.04.12.«]Ž‘Y;Added–UUthis“section.Ž¡‘ -[¬LDF‘T2003.07.20.«]Ž‘YÅâChanged,›Beso–üthat“it“calls“Ïdo‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘=­0«(‘ª®)“with“Ïche‘ÿ}'ckŽ‘ ¬‚·‘,ÏtrueŽ‘ÇÄ«,˜so“that“Ïis‘‰ffŽ‘®el‘‚Øliptic‘ÿ}'alŽ‘4ÿ’«(‘ª®)“isŽ¡called.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·Ž© ‘ +[¬LDF‘T2003.07.20.«]Ž‘YÅâChanged,›Beso–üthat“it“calls“Ïdo‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘=­0«(‘ª®)“with“Ïche‘ÿ}'ckŽ‘ ¬‚·‘,ÏtrueŽ‘ÇÄ«,˜so“that“Ïis‘‰ffŽ‘®el‘‚Øliptic‘ÿ}'alŽ‘4ÿ’«(‘ª®)“isŽ¡called.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·Ž© ‘ ÂvirtualŽ‘/ÔT‘ÿ «ransformŽ‘gV¦opQÇeratorŽ’’í[·«=ŽŽŽ’Ÿ´z(ÂconstŽ‘*¢T‘ÿ -«ransformŽ‘Uót«&Ž‘]º’±tŽ‘aW«);ŽŸÂ1190.Ž¡·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ަ‘ +«ransformŽ‘Uót«&Ž‘]º’±tŽ‘aW«);ŽŸÂ1195.Ž¡·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ަ‘ ÂT‘ÿ «ransformŽ‘AÈÓEllipseŽ‘d±°«::Ž‘k?îÂopQÇeratorŽ’–Ö£·«=ŽŽŽ’£Â(ÂconstŽ‘*¢T‘ÿ «ransformŽ‘Uót«&Ž‘]º’±tŽ‘aW«)ަ‘ ·fަ‘ÂreturnŽ‘7æ¼Ïdo‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘q€ð«(±tŽ‘œr;‘ª¨ÏtrueŽ‘o@«);ަ‘ -·gŽŸÂ1191.‘ üRotation–ÕTaround“the“main“axes.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ -«[¬LDF‘T2003.07.25.«]Ž‘YäChanged,‘hso–1that“Ïdo‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘=ËQ«(‘ª®)“is“called“with“Ïche‘ÿ}'ckŽ‘ üÛ·‘5dÏfalseŽ‘䨫.‘Rotation“can“neitherަcš¸ãhange–/æthe“lengths“of“Ïaxis‘‰ffŽ‘®hŽ‘!YY«or“Ïaxis‘‰ffŽ‘®vŽ‘õÄ«,‘7cnor“mak˜e“an“ÂEllipseŽ‘(H¥«non-elliptical,‘7cso“there's“no“need“to“c˜hec˜k“·Ž‘/çÏthisŽŽ¦«after‘UUrotation.Ž¡ŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·ަ‘ +·gŽŸÂ1196.‘ üRotation–ÕTaround“the“main“axes.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¦‘ +«[¬LDF‘T2003.07.25.«]Ž‘YäChanged,‘hso–1that“Ïdo‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘=ËQ«(‘ª®)“is“called“with“Ïche‘ÿ}'ckŽ‘ üÛ·‘5dÏfalseŽ‘䨫.‘Rotation“can“neitherަcš¸ãhange–/æthe“lengths“of“Ïaxis‘‰ffŽ‘®hŽ‘!YY«or“Ïaxis‘‰ffŽ‘®vŽ‘õÄ«,‘7cnor“mak˜e“an“ÂEllipseŽ‘(H¥«non-elliptical,‘7cso“there's“no“need“to“c˜hec˜k“·Ž‘/çÏthisŽŽ¦«after‘UUrotation.Ž¡ŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·ަ‘ ÂvirtualŽ‘/ÔT‘ÿ -«ransformŽ‘gV¦Ïr‘ÿ}'otateŽ’Åä«(ÂconstŽ‘*¢realŽ‘4ÝбxŽ‘:”ì;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±yŽ‘>’ˆ«=‘Ç0Ž–Ç±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±zŽ‘>f®«=‘Ç0Ž“);ŽŸÂ1192.Ž¡·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ަ‘ +«ransformŽ‘gV¦Ïr‘ÿ}'otateŽ’Åä«(ÂconstŽ‘*¢realŽ‘4ÝбxŽ‘:”ì;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±yŽ‘>’ˆ«=‘Ç0Ž–Ç±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±zŽ‘>f®«=‘Ç0Ž“);ŽŸÂ1197.Ž¡·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ަ‘ ÂT‘ÿ «ransformŽ‘AÈÓEllipseŽ‘d±°«::‘Ïr‘ÿ}'otateŽ‘oB«(ÂconstŽ‘*¢realŽ‘4ÝбxŽ‘:”ì;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±yŽ‘;Ëp;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆx±zŽ‘;Ÿ–«)ަ‘ ·fަ‘ÂT‘ÿ «ransformŽ‘KÈÔ±tŽ‘OeF«;Ž¡‘±tŽ‘œt:Ïr‘ÿ}'otateŽ‘o>«(±xŽ‘·;‘ª¨yŽ‘í ;‘ª¨zŽ‘ÁÆ«);ަ‘ÂreturnŽ‘7æ¼Ïdo‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘q€ð«(±tŽ‘œr;‘ª¨ÏfalseŽ‘Yì«);ަ‘ -·gŽŸÂ1193.‘ üScale.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ -«[¬LDF‘T2003.07.20.«]Ž‘Y;Added›UUc•¸ãhec“k˜for˜whether˜·Ž‘UVÏthisŽ‘–a«is˜still˜elliptical˜after˜the˜scaling˜opGeration.Ž¡ŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·ަ‘ +·gŽŸÂ1198.‘ üScale.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¦‘ +«[¬LDF‘T2003.07.20.«]Ž‘Y;Added›UUc•¸ãhec“k˜for˜whether˜·Ž‘UVÏthisŽ‘–a«is˜still˜elliptical˜after˜the˜scaling˜opGeration.Ž¡ŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·ަ‘ ÂvirtualŽ‘/ÔT‘ÿ -«ransformŽ‘gV¦Ïsc‘ÿ}'aleŽ‘} ˜«(ÂrealŽ‘³.±xŽ‘jJ;‘ª¨ÂrealŽ‘]Ö±yŽ‘ gæ«=‘Ç1Ž–Ç±;‘ª¨ÂrealŽ‘]Ö±zŽ‘ < «=‘Ç1Ž“);ŽŽŽŒ‹\wI Šn ý‘ì«348–­SCALE’ArC3DLDFPRÃŽG“·x«1194Ž €n ý•@PÂ1194.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ޤ ‘ +«ransformŽ‘gV¦Ïsc‘ÿ}'aleŽ‘} ˜«(ÂrealŽ‘³.±xŽ‘jJ;‘ª¨ÂrealŽ‘]Ö±yŽ‘ gæ«=‘Ç1Ž–Ç±;‘ª¨ÂrealŽ‘]Ö±zŽ‘ < «=‘Ç1Ž“);ŽŽŽŒ‹`wΠŠn ý‘ì«352–­SCALE’ArC3DLDFPRÃŽG“·x«1199Ž €n ý•@PÂ1199.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ޤ ‘ ÂT‘ÿ «ransformŽ‘AÈÓEllipseŽ‘d±°«::‘Ïsc‘ÿ}'aleŽ‘´ö«(ÂrealŽ‘³.±xŽ‘jJ;‘ª¨ÂrealŽ‘]Ö±yŽ‘ Î;‘ª¨ÂrealŽ‘]Ö±zŽ‘tô«)Ž¡‘ ·fŽ¡‘ÂT‘ÿ «ransformŽ‘KÈÔ±tŽ‘OeF«;ަ‘±tŽ‘œt:Ïsc‘ÿ}'aleŽ‘´ò«(±xŽ‘·;‘ª¨yŽ‘í ;‘ª¨zŽ‘ÁÆ«);Ž¡‘ÂreturnŽ‘7漫(·Ž‘ÏthisŽ‘²Ï·«=ŽŽ‘(A±tŽ‘+Ýx«);Ž¡‘ -·gŽŸÂ1195.‘ üShear.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.07.20.«]Ž‘Y;Added›UUc•¸ãhec“k˜for˜whether˜·Ž‘UVÏthisŽ‘–a«is˜still˜elliptical˜after˜the˜shearing˜opGeration.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·Ž¡‘ +·gŽŸÂ1200.‘ üShear.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.07.20.«]Ž‘Y;Added›UUc•¸ãhec“k˜for˜whether˜·Ž‘UVÏthisŽ‘–a«is˜still˜elliptical˜after˜the˜shearing˜opGeration.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·Ž¡‘ ÂvirtualŽ‘/ÔT‘ÿ -«ransformŽ‘gV¦Ïshe‘ÿ}'arŽ‘Šà«(ÂrealŽ‘³.ÏxyŽ‘!—±;‘ª¨ÂrealŽ‘]ÖÏxzŽ‘%œÀ«=‘Ç0Ž–Ç±;‘ª¨ÂrealŽ‘]ÖÏyxŽ‘&Zœ«=‘Ç0Ž“±;‘ª¨ÂrealŽ‘]ÖÏyzŽ‘%Ô6«=‘Ç0Ž“±;‘ª¨ÂrealŽ‘]ÖÏzxŽ‘%–Y«=‘Ç0Ž“±;‘ª¨ÂrealŽ‘]ÖÏzyŽ‘%|«=‘Ç0Ž“);ŽŸÂ1196.ަ·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·Ž¡‘ +«ransformŽ‘gV¦Ïshe‘ÿ}'arŽ‘Šà«(ÂrealŽ‘³.ÏxyŽ‘!—±;‘ª¨ÂrealŽ‘]ÖÏxzŽ‘%œÀ«=‘Ç0Ž–Ç±;‘ª¨ÂrealŽ‘]ÖÏyxŽ‘&Zœ«=‘Ç0Ž“±;‘ª¨ÂrealŽ‘]ÖÏyzŽ‘%Ô6«=‘Ç0Ž“±;‘ª¨ÂrealŽ‘]ÖÏzxŽ‘%–Y«=‘Ç0Ž“±;‘ª¨ÂrealŽ‘]ÖÏzyŽ‘%|«=‘Ç0Ž“);ŽŸÂ1201.ަ·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·Ž¡‘ ÂT‘ÿ «ransformŽ‘AÈÓEllipseŽ‘d±°«::‘Ïshe‘ÿ}'arŽ‘4>«(ÂrealŽ‘³.ÏxyŽ‘!—±;‘ª¨ÂrealŽ‘]ÖÏxzŽ‘"Õ¨±;‘ª¨ÂrealŽ‘]ÖÏyxŽ‘#“„±;‘ª¨ÂrealŽ‘]ÖÏyzŽ‘# ±;‘ª¨ÂrealŽ‘]ÖÏzxŽ‘"ÏA±;‘ª¨ÂrealŽ‘]ÖÏzyŽ‘"´ð«)Ž¡‘ ·fŽ¡‘ÂT‘ÿ «ransformŽ‘KÈÔ±tŽ‘OeF«;ަ‘±tŽ‘œt:Ïshe‘ÿ}'arŽ‘4:«(ÏxyŽ‘ ãç±;‘ª¨ÏxzŽ‘ "z±;‘ª¨ÏyxŽ‘ àV±;‘ª¨ÏyzŽ‘ Yð±;‘ª¨ÏzxŽ‘ ±;‘ª¨ÏzyŽ‘ «);Ž¡‘ÂreturnŽ‘7漫(·Ž‘ÏthisŽ‘²Ï·«=ŽŽ‘(A±tŽ‘+Ýx«);Ž¡‘ -·gޤÂ1197.‘ üShift.Ž¡1198.‘ üreal‘ÕTargumen®9ts.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ -«[¬LDF‘T2003.07.25.«]Ž‘Z&zChanged,‘»$so–s”that“Ïdo‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘> È«(‘ª®)“is“called“with“Ïche‘ÿ}'ckŽ‘!®·‘¤*ÏfalseŽ‘Sn«.‘Ì„Shifting“can“neitherŽ¡cš¸ãhange–/æthe“lengths“of“Ïaxis‘‰ffŽ‘®hŽ‘!YY«or“Ïaxis‘‰ffŽ‘®vŽ‘õÄ«,‘7cnor“mak˜e“an“ÂEllipseŽ‘(H¥«non-elliptical,‘7cso“there's“no“need“to“c˜hec˜k“·Ž‘/çÏthisŽŽ¡«after‘UUshifting.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·Ž¡‘ +·gޤÂ1202.‘ üShift.Ž¡1203.‘ üreal‘ÕTargumen®9ts.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¤ ‘ +«[¬LDF‘T2003.07.25.«]Ž‘Z&zChanged,‘»$so–s”that“Ïdo‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘> È«(‘ª®)“is“called“with“Ïche‘ÿ}'ckŽ‘!®·‘¤*ÏfalseŽ‘Sn«.‘Ì„Shifting“can“neitherŽ¡cš¸ãhange–/æthe“lengths“of“Ïaxis‘‰ffŽ‘®hŽ‘!YY«or“Ïaxis‘‰ffŽ‘®vŽ‘õÄ«,‘7cnor“mak˜e“an“ÂEllipseŽ‘(H¥«non-elliptical,‘7cso“there's“no“need“to“c˜hec˜k“·Ž‘/çÏthisŽŽ¡«after‘UUshifting.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·Ž¡‘ ÂvirtualŽ‘/ÔT‘ÿ -«ransformŽ‘gV¦ÏshiftŽ‘{t#«(ÂrealŽ‘³.ÏxxŽ‘!±f±;‘ª¨ÂrealŽ‘]ÖÏyyŽ‘&@K«=‘Ç0Ž–Ç±;‘ª¨ÂrealŽ‘]ÖÏzzŽ‘%ó«=‘Ç0Ž“);ŽŸÂ1199.ަ·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·Ž¡‘ +«ransformŽ‘gV¦ÏshiftŽ‘{t#«(ÂrealŽ‘³.ÏxxŽ‘!±f±;‘ª¨ÂrealŽ‘]ÖÏyyŽ‘&@K«=‘Ç0Ž–Ç±;‘ª¨ÂrealŽ‘]ÖÏzzŽ‘%ó«=‘Ç0Ž“);ŽŸÂ1204.ަ·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·Ž¡‘ ÂT‘ÿ «ransformŽ‘AÈÓEllipseŽ‘d±°«::‘ÏshiftŽ‘«(ÂrealŽ‘³.ÏxxŽ‘!±f±;‘ª¨ÂrealŽ‘]ÖÏyyŽ‘#y3±;‘ª¨ÂrealŽ‘]ÖÏzzŽ‘"HÛ«)Ž¡‘ ·fŽ¡‘ÂT‘ÿ «ransformŽ‘KÈÔ±tŽ‘OeF«;ަ‘±tŽ‘œt:ÏshiftŽ‘}«(ÏxxŽ‘ þ8±;‘ª¨ÏyyŽ‘ Ʊ;‘ª¨ÏzzŽ‘ •­«);Ž¡‘ÂreturnŽ‘7æ¼Ïdo‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘q€ð«(±tŽ‘œr;‘ª¨ÏfalseŽ‘Yì«);Ž¡‘ -·gŽŸÂ1200.‘ üP•®9oin“t‘ÕTargumen“t.ަ·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·Ž¡‘ +·gŽŸÂ1205.‘ üP•®9oin“t‘ÕTargumen“t.ަ·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·Ž¡‘ ÂvirtualŽ‘/ÔT‘ÿ -«ransformŽ‘gV¦ÏshiftŽ‘{t#«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«);ŽŽŽŒ‹]‚N Šn ý‘ì·x«1201›­3DLDFPR•ÃŽG’”µÂPOINT‘ÕX­AR“GUMENT˜«349Ž €n ý•@PÂ1201.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ޤ ‘ +«ransformŽ‘gV¦ÏshiftŽ‘{t#«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«);ŽŽŽŒ‹a‚R Šn ý‘ì·x«1206›­3DLDFPR•ÃŽG’”µÂPOINT‘ÕX­AR“GUMENT˜«353Ž €n ý•@PÂ1206.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ޤ ‘ ÂT‘ÿ «ransformŽ‘AÈÓEllipseŽ‘d±°«::‘ÏshiftŽ‘«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«)Ž¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼ÏshiftŽ‘L9«(±pŽ‘:Ïget‘‰ffŽ‘®xŽ‘Žg«(–ª¨)±;“pŽ›²¨:Ïget‘‰ffŽ‘®yŽ‘t«(“)±;“pŽ˜:Ïget‘‰ffŽ‘®zŽ‘«(“));Ž¡‘ -·gޤÂ1202.‘ üShift‘ÕTtimes.Ž¡1203.‘ üreal‘ÕTargumen®9ts.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ -«[¬LDF‘T2003.07.25.«]Ž‘Y;No¸ãw–UUpšGerforming“Ïshift‘‰ffŽ‘®timesŽ‘2A«(‘ª®)“on“Ïfo‘ÿ}'cus0Ž‘#]Ô«and“Ïfo‘ÿ}'cus1Ž‘ «,“to˜o.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·Ž¡‘ -ÂvirtualŽ‘/Ôv®9oidŽ‘H‹¬Ïshift‘‰ffŽ‘®timesŽ‘wwç«(ÂrealŽ‘³.±xŽ‘jJ;‘ª¨ÂrealŽ‘]Ö±yŽ‘ gæ«=‘Ç1Ž–Ç±;‘ª¨ÂrealŽ‘]Ö±zŽ‘ < «=‘Ç1Ž“);ŽŸÂ1204.ަ·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·Ž¡‘ +·gޤÂ1207.‘ üShift‘ÕTtimes.Ž¡1208.‘ üreal‘ÕTargumen®9ts.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¤ ‘ +«[¬LDF‘T2003.07.25.«]Ž‘Y;No¸ãw–UUpšGerforming“Ïshift‘‰ffŽ‘®timesŽ‘2A«(‘ª®)“on“Ïfo‘ÿ}'cus0Ž‘#]Ô«and“Ïfo‘ÿ}'cus1Ž‘ «,“to˜o.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·Ž¡‘ +ÂvirtualŽ‘/Ôv®9oidŽ‘H‹¬Ïshift‘‰ffŽ‘®timesŽ‘wwç«(ÂrealŽ‘³.±xŽ‘jJ;‘ª¨ÂrealŽ‘]Ö±yŽ‘ gæ«=‘Ç1Ž–Ç±;‘ª¨ÂrealŽ‘]Ö±zŽ‘ < «=‘Ç1Ž“);ŽŸÂ1209.ަ·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·Ž¡‘ Âv®9oidŽ‘"ýÙEllipseŽ‘Eæ¶«::‘Ïshift‘‰ffŽ‘®timesŽ‘/ì?«(ÂrealŽ‘³.±xŽ‘jJ;‘ª¨ÂrealŽ‘]Ö±yŽ‘ Î;‘ª¨ÂrealŽ‘]Ö±zŽ‘tô«)Ž¡‘ ·fŽ¡‘ÂP®9athŽ‘-‘j«::Ž‘4¨Ïshift‘‰ffŽ‘®timesŽ‘c ã«(±xŽ‘·;‘ª¨yŽ‘í ;‘ª¨zŽ‘ÁÆ«);Ž¡‘Ïfo‘ÿ}'cus1Ž‘0³,±:Ïshift‘‰ffŽ‘®timesŽ‘.ì;«(±xŽ‘·;‘ª¨yŽ‘í ;‘ª¨zŽ‘ÁÆ«);Ž¡‘Ïfo‘ÿ}'cus0Ž‘0³,±:Ïshift‘‰ffŽ‘®timesŽ‘.ì;«(±xŽ‘·;‘ª¨yŽ‘í ;‘ª¨zŽ‘ÁÆ«);Ž¡‘Ïc‘ÿ}'enterŽ‘0 ±:Ïshift‘‰ffŽ‘®timesŽ‘.ì;«(±xŽ‘·;‘ª¨yŽ‘í ;‘ª¨zŽ‘ÁÆ«);Ž¡‘ÂreturnŽ‘4‘g«;Ž¡‘ -·gŽŸÂ1205.‘ üP•®9oin“t‘ÕTargumen“t.ަ·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·Ž¡‘ -ÂvirtualŽ‘/Ôv®9oidŽ‘H‹¬Ïshift‘‰ffŽ‘®timesŽ‘wwç«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«);ŽŸÂ1206.ަ·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·Ž¡‘ +·gŽŸÂ1210.‘ üP•®9oin“t‘ÕTargumen“t.ަ·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·Ž¡‘ +ÂvirtualŽ‘/Ôv®9oidŽ‘H‹¬Ïshift‘‰ffŽ‘®timesŽ‘wwç«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«);ŽŸÂ1211.ަ·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·Ž¡‘ Âv®9oidŽ‘"ýÙEllipseŽ‘Eæ¶«::‘Ïshift‘‰ffŽ‘®timesŽ‘/ì?«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]±pŽ‘Ié]«)Ž¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïshift‘‰ffŽ‘®timesŽ‘fÒ÷«(±pŽ‘:Ïget‘‰ffŽ‘®xŽ‘Žg«(–ª¨)±;“pŽ›²¨:Ïget‘‰ffŽ‘®yŽ‘t«(“)±;“pŽ˜:Ïget‘‰ffŽ‘®zŽ‘«(“));Ž¡‘ -·gŽŸÂ1207.‘ üRotatation–ÕTaround“an“arbitrary“axis.ŽŽŽŒ‹^ŽF Šn ý‘ì«350›ÂPOINT‘ÕX­AR•ÃŽGUMENTS’üÛÍ3DLDFPR“G˜·x«1208Ž €n ý•@PÂ1208.‘ üP•®9oin“t‘ÕTargumen“ts.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ +·gŽŸÂ1212.‘ üRotatation–ÕTaround“an“arbitrary“axis.ŽŽŽŒ‹bô Šn ý‘ì«354›ÂPOINT‘ÕX­AR•ÃŽGUMENTS’üÛÍ3DLDFPR“G˜·x«1213Ž €n ý•@PÂ1213.‘ üP•®9oin“t‘ÕTargumen“ts.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¤ ‘ «[¬LDF‘T2003.05.02.«]Ž‘YËSChanged–mname“of“this“function“from“Ïr–ÿ}'otate‘‰ffŽ‘®ar“oundŽ‘@„ü«(›ª®)“to“Ïr‘ÿ}'otateŽ‘‡««(˜).‘»This“function“no¸ãwŽ¡o•¸ãv“erloads‘UUÏr‘ÿ}'otateޑē«(‘ª®)–UUwith“three“ÂrealŽ‘ƒ«argumen¸ãts.Ž¡‘ -[¬LDF‘T2003.07.25.«]Ž‘YäChanged,‘hso–1that“Ïdo‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘=ËQ«(‘ª®)“is“called“with“Ïche‘ÿ}'ckŽ‘ üÛ·‘5dÏfalseŽ‘䨫.‘Rotation“can“neitherŽ¡cš¸ãhange–/æthe“lengths“of“Ïaxis‘‰ffŽ‘®hŽ‘!YY«or“Ïaxis‘‰ffŽ‘®vŽ‘õÄ«,‘7cnor“mak˜e“an“ÂEllipseŽ‘(H¥«non-elliptical,‘7cso“there's“no“need“to“c˜hec˜k“·Ž‘/çÏthisŽŽ¡«after‘UUrotation.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·Ž© ‘ +[¬LDF‘T2003.07.25.«]Ž‘YäChanged,‘hso–1that“Ïdo‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘=ËQ«(‘ª®)“is“called“with“Ïche‘ÿ}'ckŽ‘ üÛ·‘5dÏfalseŽ‘䨫.‘Rotation“can“neitherŽ¡cš¸ãhange–/æthe“lengths“of“Ïaxis‘‰ffŽ‘®hŽ‘!YY«or“Ïaxis‘‰ffŽ‘®vŽ‘õÄ«,‘7cnor“mak˜e“an“ÂEllipseŽ‘(H¥«non-elliptical,‘7cso“there's“no“need“to“c˜hec˜k“·Ž‘/çÏthisŽŽ¡«after‘UUrotation.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·Ž© ‘ ÂvirtualŽ‘/ÔT‘ÿ -«ransformŽ‘gV¦Ïr‘ÿ}'otateŽ’Åä«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]Ïp0Ž‘Pø±;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒÏp1Ž‘R¢Å±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏangleŽ‘Qã«=‘Ç180ŽŽ‘Ç);ŽŸÂ1209.Ž¡·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ަ‘ 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üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·ަ‘ -ÂRectangleŽ‘?”ëÏout‘‰ffŽ‘®r–ÿ}'e“ctangleŽ‘x‡„«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹` ä Šn ý‘ì«352›­SURR•ÃŽOUNDING‘ÕXRECT‘ÿJªANGLE’ãŒ93DLDFPR“G˜·x«1214Ž €n ý•@PÂ1214.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ޤ ‘ +·gޤÂ1217.‘ üRectangles.Ž¡1218.‘ üSurrounding‘ÕTrectangle.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¦‘ +«[¬LDF‘T2003.07.18.«]Ž‘Y;Made‘UUÂconstŽ‘*¢«.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·ަ‘ +ÂRectangleŽ‘?”ëÏout‘‰ffŽ‘®r–ÿ}'e“ctangleŽ‘x‡„«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹d  Šn ý‘ì«356›­SURR•ÃŽOUNDING‘ÕXRECT‘ÿJªANGLE’ãŒ93DLDFPR“G˜·x«1219Ž €n ý•@PÂ1219.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ޤ ‘ ÂRectangleŽ‘?”ëEllipseŽ‘b}È«::‘Ïout‘‰ffŽ‘®r–ÿ}'e“ctangleŽ‘9ò«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂP•®9oin“tŽ‘2CŽ‘:Ìk«(Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ‘,=G«(‘ª®));Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏpt0Ž‘BXÚ«(Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(0Ž‘));Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏpt1Ž‘BXÚ«(Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(Ïnumb›ÿ}'er‘‰ffŽ–®of‘‰ffŽ“p˜ointsŽ‘JÀ©±=«2Ž‘));Ž¡‘ÂP®9athŽ‘/æ»Ïp‘ÿ}'a0Ž‘@—«(Ïpt0Ž‘i;±;‘ª¨Ïpt1Ž‘ã«);Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏpt2Ž‘BXÚ«(Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(Ïnumb›ÿ}'er‘‰ffŽ–®of‘‰ffŽ“p˜ointsŽ‘JÀ©±=«4Ž‘));Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏpt3Ž‘BXÚ«(Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«(3Ž‘8á·‘8àÏnumb›ÿ}'er‘‰ffŽ–®of‘‰ffŽ“p˜ointsŽ‘Lù‰±=«4Ž‘));Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏpt4Ž‘BXÚ«(Ïpt1Ž‘i;«);ަ‘Ïpt4Ž‘&0U·«=ŽŽ‘8…©±CŽ‘@bu«;ަ‘ÂP•®9oin“tŽ‘2ïŸÏpt5Ž‘BXÚ«(Ïpt2Ž‘i;«);ަ‘Ïpt5Ž‘#i=±:ÏshiftŽ‘}«(Ïpt4Ž‘i;«);ަ‘ÂP•®9oin“tŽ‘2ïŸÏpt6Ž‘BXÚ«(Ïpt3Ž‘i;«);ަ‘Ïpt6Ž‘#i=±:ÏshiftŽ‘}«(Ïpt4Ž‘i;«);ަ‘ÂP•®9oin“tŽ‘2ïŸÏpt7Ž‘BXÚ«(Ïpt0Ž‘i;«);ަ‘Ïpt7Ž‘&0U·«=ŽŽ‘8…©±CŽ‘@bu«;ަ‘ÂP•®9oin“tŽ‘2ïŸÏpt8Ž‘BXÚ«(Ïpt2Ž‘i;«);ަ‘Ïpt8Ž‘#i=±:ÏshiftŽ‘}«(Ïpt7Ž‘i;«);ަ‘ÂP•®9oin“tŽ‘2ïŸÏpt9Ž‘BXÚ«(Ïpt3Ž‘i;«);ަ‘Ïpt9Ž‘#i=±:ÏshiftŽ‘}«(Ïpt7Ž‘i;«);Ž¡#ÂifŽ‘ ´ø«0ŽŽ¡‘Ïpt0Ž‘#i=±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"0"Ž‘F_«);Ž¡‘Ïpt1Ž‘#i=±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"1"Ž‘F_«);Ž¡‘Ïpt2Ž‘#i=±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"2"Ž‘F_«);Ž¡‘Ïpt3Ž‘#i=±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"3"Ž‘F_«);Ž¡‘Ïpt5Ž‘#i=±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"5"Ž‘F_«);Ž¡‘Ïpt6Ž‘#i=±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"6"Ž‘F_«);Ž¡‘Ïpt8Ž‘#i=±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"8"Ž‘F_«);Ž¡‘Ïpt9Ž‘#i=±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"9"Ž‘F_«);Ž¡#ÂendifŽŽ¦‘RectangleŽ‘I”ì±rŽ‘N_«(Ïpt6Ž‘i;±;‘ª¨Ïpt9Ž–ã±;‘ª¨Ïpt8Ž“±;‘ª¨Ïpt5Ž“«);ަ‘ÂreturnŽ‘7æ¼±rŽ‘<°Ð«;Ž¡‘ -·gŽŸÂ1215.‘ üInscribQÇed‘ÕTrectangle.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.07.18.«]Ž‘Y;Made‘UUÂconstŽ‘*¢«.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·Ž¡‘ -ÂRectangleŽ‘?”ëÏin‘‰ffŽ‘®r–ÿ}'e“ctangleŽ‘sk«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹a§ Šn ý‘ì·x«1216–­3DLDFPRÃŽG’ôòUINSCRIBED‘ÕXRECT‘ÿJªANGLE“«353Ž €n ý•@PÂ1216.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ޤ ‘ +·gŽŸÂ1220.‘ üInscribQÇed‘ÕTrectangle.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.07.18.«]Ž‘Y;Made‘UUÂconstŽ‘*¢«.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·Ž¡‘ +ÂRectangleŽ‘?”ëÏin‘‰ffŽ‘®r–ÿ}'e“ctangleŽ‘sk«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹e¥ç Šn ý‘ì·x«1221–­3DLDFPRÃŽG’ôòUINSCRIBED‘ÕXRECT‘ÿJªANGLE“«357Ž €n ý•@PÂ1221.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ޤ ‘ ÂRectangleŽ‘?”ëEllipseŽ‘b}È«::‘Ïin‘‰ffŽ‘®r–ÿ}'e“ctangleŽ‘4Ö.«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂRectangleŽ‘I”ìÏr0Ž‘WÉ«=‘ÇÏout‘‰ffŽ‘®r–ÿ}'e“ctangleŽ‘;¹±«(‘ª¨);Ž¡‘Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘edðÏbpp0Ž‘}øÏ«=‘ÇÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘TS÷«(Ïr0Ž‘ 1ű:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ–'bH«(0Ž›)±;‘ª¨Ïr0Ž‘ Üm±:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ“«(2Ž˜));Ž¡‘Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘edðÏbpp1Ž‘}øÏ«=‘ÇÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘TS÷«(Ïr0Ž‘ 1ű:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ–'bH«(1Ž›)±;‘ª¨Ïr0Ž‘ Üm±:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ“«(3Ž˜));ަ‘ÂifŽ‘ „n«(Ïbpp0Ž‘ÌDZ:Ï rstŽ‘µª±:ÏptŽ–t·‘ ×ÝINVALID_POINTŽ›KªE·_‘Ã-Ïbpp0Ž‘ô±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ“·‘ ×ÝINVALID_POINTŽ˜·_‘Ã-Ïbpp1Ž‘ô±:Ï rstŽ‘µª±:ÏptŽ“·Ž¡‘2ÝINVALID_POINTŽ‘xÿ&·_‘8àÏbpp1Ž‘§±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ «µ·‘ÇÝINVALID_POINTŽ‘GY«)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘3|Á·‘ÇÝ"IntersectionÈ Ýdidn'tŽ‘kÆÜÈ Ýwork.\n"Ž’žTA·‘ÇÝ"ReturningÈ ÝemptyÈ ÝrecŽ‘kÆÜtangle.\n\n"Ž’®8·‘ÇÏ ushŽ‘€«;ަ‘ÂRectangleŽ‘S”íÏr2Ž‘^Ʋ«;ަ‘ÂreturnŽ‘Aæ½Ïr2Ž‘M‚«;Ž¡‘·gަ‘ÂRectangleŽ‘I”ìÏr1Ž‘TƱ«(Ïbpp0Ž‘ÌDZ:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ– ä±;‘ª¨Ïbpp1Ž›wo±:Ï rstŽ‘µª±:ÏptŽ“±;‘ª¨Ïbpp0Ž˜±:Ï rstŽ‘µª±:ÏptŽ“±;‘ª¨Ïbpp1Ž˜±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ“«);ަ‘ÂreturnŽ‘7æ¼Ïr1Ž‘C«;Ž¡‘ -·gŽŸÂ1217.‘ üDra®9w–ÕTsurrounding“rectangle.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +·gŽŸÂ1222.‘ üDra®9w–ÕTsurrounding“rectangle.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.07.01.«]Ž‘YFChanged–j`the“return“v‘ÿqÇalue“from“Âv®9oidŽ‘}C«to“ÂRectangleŽ‘5©õ«.‘°çNo¸ãw“the“surrounding“ÂRectangleŽŽ¡«is‘UUreturned.Ž¡‘ -[¬LDF‘T2003.07.18.«]Ž‘Y;Made‘UUÂconstŽ‘*¢«.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·Ž¡‘ +[¬LDF‘T2003.07.18.«]Ž‘Y;Made‘UUÂconstŽ‘*¢«.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·Ž¡‘ ÂRectangleŽ‘@Y¯Ïdr›ÿ}'aw‘‰ffŽ–®out‘‰ffŽ“r˜e˜ctangleŽ’‘ŒÏ«(ÂconstŽ‘ïfColorŽ‘?Y«&Ž‘G ;Ïddr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘7í«=‘ ·Ž‘  ÂColorsŽ‘*çè«::Ž‘1v&Ïdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘hò±;‘ª¨ÂstringŽŽ¡‘Ïddashe‘ÿ}'dŽ‘D,«=‘ÇÝ""Ž– Íz±;‘ª¨ÂstringŽ‘"ÏõÏpp‘ÿ}'enŽ‘:Í0«=‘ÇÝ""Ž“±;‘ª¨ÂPictureŽ‘*œ -«&Ž‘2c(Ïpictur‘ÿ}'eŽ‘T3«=‘ÇÏcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘Dìß«)‘UUÂconstŽ‘*¢«;ŽŸÂ1218.ަ·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·Ž¡‘ +«&Ž‘2c(Ïpictur‘ÿ}'eŽ‘T3«=‘ÇÏcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘Dìß«)‘UUÂconstŽ‘*¢«;ŽŸÂ1223.ަ·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·Ž¡‘ ÂRectangleŽ‘@`hEllipseŽ‘cIE«::‘Ïdr›ÿ}'aw‘‰ffŽ–®out‘‰ffŽ“r˜e˜ctangleŽ‘R3$«(ÂconstŽ‘öColorŽ‘?f«&Ž‘G-­Ïddr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘{6V±;‘ª¨ÂstringŽ‘#›rÏddashe‘ÿ}'dŽ‘F⃱;‘ª¨ÂstringŽŽ¡‘2Ïpp‘ÿ}'enŽ‘G6(±;‘ª¨ÂPictureŽ‘*œ «&Ž‘2c(Ïpictur‘ÿ}'eŽ‘Qkþ«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂRectangleŽ‘I”ì±rŽ‘Q&«=‘ÇÏout‘‰ffŽ‘®r–ÿ}'e“ctangleŽ‘;¹±«(‘ª¨);ަ‘±rŽ‘Ê:Ïdr‘ÿ}'awŽ‘(Û«(Ïddr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘4©±;‘ª¨Ïddashe‘ÿ}'dŽ‘$ñ¹±;‘ª¨Ïpp‘ÿ}'enŽ‘à˱;‘ª¨Ïpictur‘ÿ}'eŽ‘ ³~«);Ž¡‘ÂreturnŽ‘7æ¼±rŽ‘<°Ð«;Ž¡‘ -·gŽŸÂ1219.‘ üDra®9w–ÕTinscribQÇed“rectangle.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +·gŽŸÂ1224.‘ üDra®9w–ÕTinscribQÇed“rectangle.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.07.01.«]Ž‘YO‹Changed–œ¥the“return“v‘ÿqÇalue“from“Âv®9oidŽ‘áÍ«to“ÂRectangleŽ‘5Ü:«.‘G¸No¸ãw“the“inscribGed“ÂRectangleŽ‘9xß«isŽ¡returned.Ž¡‘ -[¬LDF‘T2003.07.18.«]Ž‘Y;Made‘UUÂconstŽ‘*¢«.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1101“·i‘Ç«+·Ž¡‘ +[¬LDF‘T2003.07.18.«]Ž‘Y;Made‘UUÂconstŽ‘*¢«.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂEllipseŽ‘(“ƒ«functions‘@­1106“·i‘Ç«+·Ž¡‘ ÂRectangleŽ‘@miÏdr›ÿ}'aw‘‰ffŽ–®in‘‰ffŽ“r˜e˜ctangleŽ’Œ„«(ÂconstŽ‘ ColorŽ‘?€‘«&Ž‘GG¯Ïddr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘€@«=‘/è·Ž‘ /éÂColorsŽ‘+Ç«::Ž‘1—Ïdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘ià±;‘ª¨ÂstringŽŽ¡‘Ïddashe‘ÿ}'dŽ‘D,«=‘ÇÝ""Ž– Íz±;‘ª¨ÂstringŽ‘"ÏõÏpp‘ÿ}'enŽ‘:Í0«=‘ÇÝ""Ž“±;‘ª¨ÂPictureŽ‘*œ -«&Ž‘2c(Ïpictur‘ÿ}'eŽ‘T3«=‘ÇÏcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘Dìß«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹b°ã Šn ý‘ì«354›­DRA‘ÿ8W–ÕXINSCRIBED“RECT‘ÿJªANGLE’×8Ÿ3DLDFPRÃŽG˜·x«1220Ž €n ý•@PÂ1220.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1102“·i‘Ç«+·ޤ ‘ +«&Ž‘2c(Ïpictur‘ÿ}'eŽ‘T3«=‘ÇÏcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘Dìß«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹f¯ Šn ý‘ì«358›­DRA‘ÿ8W–ÕXINSCRIBED“RECT‘ÿJªANGLE’×8Ÿ3DLDFPRÃŽG˜·x«1225Ž €n ý•@PÂ1225.Ž©·h–ª¨«De ne‘UUÂEllipseŽ‘(“ƒ«functions‘@­1107“·i‘Ç«+·ޤ ‘ ÂRectangleŽ‘@tÚEllipseŽ‘c]·«::‘Ïdr›ÿ}'aw‘‰ffŽ–®in‘‰ffŽ“r˜e˜ctangleŽ‘Mµ«(ÂconstŽ‘ ‘ColorŽ‘?s«&Ž‘GV‘Ïddr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘{_:±;‘ª¨ÂstringŽ‘#¯äÏddashe‘ÿ}'dŽ‘Föõ±;‘ª¨ÂstringŽŽ¡‘2Ïpp‘ÿ}'enŽ‘G6(±;‘ª¨ÂPictureŽ‘*œ «&Ž‘2c(Ïpictur‘ÿ}'eŽ‘Qkþ«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂRectangleŽ‘I”ì±rŽ‘Q&«=‘ÇÏin‘‰ffŽ‘®r–ÿ}'e“ctangleŽ‘6B«(‘ª¨);ަ‘±rŽ‘Ê:Ïdr‘ÿ}'awŽ‘(Û«(Ïddr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘4©±;‘ª¨Ïddashe‘ÿ}'dŽ‘$ñ¹±;‘ª¨Ïpp‘ÿ}'enŽ‘à˱;‘ª¨Ïpictur‘ÿ}'eŽ‘ ³~«);Ž¡‘ÂreturnŽ‘7æ¼±rŽ‘<°Ð«;Ž¡‘ -·gŽŸÂ1221.– üRectangle‘Ëfunctions.“«[¬LDF‘T2003.07.18.«]Ž‘Y °TO‘m”DO:–mÏAdd“Ïundr‘ÿ}'aw‘‰ffŽ–®in‘‰ffŽ“el‘‚ØlipseŽ‘NcЫ(–ª®),‘œÏ l›‚Øl‘‰ffŽ–®out‘‰ffŽ“el˜lipseŽ‘?]…«(“),‘œetc.Ž¡Also,–UUI“should“add“vš¸ãersions“with“the“ÂPictureŽ‘,F·«argumen˜t“ rst.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.07.18.«]Ž‘X¢DAdded–ï^this“section.‘OÊThese“functions“are“declared“in“Èrectangs.web«,‘Ãbut“m¸ãust“bGe“de nedŽ¡here,–UUbšGecause“ÂEllipseŽ‘(“ƒ«is“an“incomplete“t¸ãyp˜e“there.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽŸ1222.‘ üEllipses.ŽŽŽŒ‹cÁ, Šn ý‘ì·x«1223›­3DLDFPR•ÃŽG’êSURR“OUNDING‘ÕXÂELLIPSE˜«355Ž €n ý•@PÂ1223.‘ üSurrounding‘ÕTEllipse.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ© ‘ -«[¬LDF‘T2003.07.18.«]Ž‘Y;Added–UUthis“function.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«De ne‘UUÂRectangleŽ‘8ê?«functions‘@­1059“·i‘Ç«+·ަ‘ +·gŽŸÂ1226.– üRectangle‘Ëfunctions.“«[¬LDF‘T2003.07.18.«]Ž‘Y °TO‘m”DO:–mÏAdd“Ïundr‘ÿ}'aw‘‰ffŽ–®in‘‰ffŽ“el‘‚ØlipseŽ‘NcЫ(–ª®),‘œÏ l›‚Øl‘‰ffŽ–®out‘‰ffŽ“el˜lipseŽ‘?]…«(“),‘œetc.Ž¡Also,–UUI“should“add“vš¸ãersions“with“the“ÂPictureŽ‘,F·«argumen˜t“ rst.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.07.18.«]Ž‘X¢DAdded–ï^this“section.‘OÊThese“functions“are“declared“in“Èrectangs.web«,‘Ãbut“m¸ãust“bGe“de nedŽ¡here,–UUbšGecause“ÂEllipseŽ‘(“ƒ«is“an“incomplete“t¸ãyp˜e“there.ަŸüÈ„`ÕÁGŽŽŸÂ1227.‘ üEllipses.ŽŽŽŒ‹g¿‚ Šn ý‘ì·x«1228›­3DLDFPR•ÃŽG’êSURR“OUNDING‘ÕXÂELLIPSE˜«359Ž €n ý•@PÂ1228.‘ üSurrounding‘ÕTEllipse.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ© ‘ +«[¬LDF‘T2003.07.18.«]Ž‘Y;Added–UUthis“function.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«De ne‘UUÂRectangleŽ‘8ê?«functions‘@­1062“·i‘Ç«+·ަ‘ ÂEllipseŽ‘/>/RectangleŽ‘b}È«::‘Ïout‘‰ffŽ‘®el‘‚ØlipseŽ‘.ÔÉ«(‘ª®)‘UUÂconstŽŽ¦‘ ·fަ‘ÂP•®9oin“tŽ‘2CŽ‘=“ƒ«=‘ÇÏget‘‰ffŽ‘®c‘ÿ}'enterŽ‘/_«(‘ª¨);ަ‘ÂP•®9oin“tŽ‘2ïŸÏp0Ž‘AÍw«=‘ÇÏget‘‰ffŽ‘®p‘ÿ}'ointŽ‘*)`«(0Ž‘);ަ‘ÂP•®9oin“tŽ‘2MŽ‘@a«=‘ÇÏget‘‰ffŽ–®mid‘‰ffŽ“p‘ÿ}'ointŽ‘>2s«(1Ž‘);ަ‘ÂP•®9oin“tŽ‘2ïŸÏnormalŽ‘V 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ÂCircleŽ‘+¸‚·Ž‘0¸ƒÂCircleŽ‘P³«::‘Ïcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“cir‘ÿ}'cleŽ‘K R«(ÂconstŽ‘*¢CircleŽ‘?ã#«&Ž‘GªA±pŽ‘L²A«)Ž¡‘ ·fŽ¡‘ÂCircleŽ‘5¸ƒ·Ž‘:¸„±cŽ‘AÓw«=‘ÇÂnewŽ‘Ïœ«(ÂCircleŽ‘c,«);ަ‘·Ž‘±cŽ‘ ö«=‘DZpŽ‘Ï«;Ž¡‘±cŽ‘SÝŸ~ŽŽ‘SÞÏon‘‰ffŽ›®fr–ÿ}'e“e‘‰ffŽ˜stor“eŽ‘V¿è«=‘ÇÏtrueŽ‘‹°«;Ž¡‘ÂreturnŽ‘7æ¼±cŽ‘<:—«;Ž¡‘ -·gŽ©Â1246.– üDestructor.“«[¬LDF‘T2002.10.09.«]Ž‘Zˆ6Remo•¸ãv“ed–UUthe“destructor.‘qÇÂP®9athŽ‘/«::Ž‘$‘m·Ž‘,X‹ÂP®9athŽ‘Déï«(‘ª¨)“or“ÂP®9athŽ‘潫::‘Ïcle‘ÿ}'arŽ‘(Ý«(‘ª®)Ž¡should– bšGe“used“instead,‘Kunless“I‘õadd“dynamically“allo˜cated“data“mem¸ãb˜ers“to“ÂCircleŽ‘$u<«(rather“than“ÂEllipseŽ‘'úé«orŽ¡ÂP®9athŽ‘‘d«).ަÂ1247.‘ üAssignmen®9t.ަ1248.– üCircle‘…äargumen®9t.“«This–Íyfunction“returns“a“reference“to“·Ž‘ ÍzÏthisŽ‘¹0«,‘+‚whic¸ãh“can“bGe“used“for“furtherŽ¡assignmen¸ãt.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.11.10.«]Ž‘Y;Changed–UUand“simpli ed“this“function.‘qÇIt“no¸ãw“uses“ÂEllipseŽ‘&>2«::Ž‘,ÌpÂopQÇeratorŽ‘Xc%«=Ž‘`*C(‘ª¨).ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂCircleŽ‘% Ö«functions‘@­1234“·i‘Ç«+·ŽŸ ‘ -ÂCircleŽ‘+¸‚«&Ž‘3 ÂopQÇeratorŽ‘_U«=Ž‘fÝs(ÂconstŽ‘*¢CircleŽ‘?ã#«&Ž‘GªA±cŽ‘Kþ«);ŽŽŽŒ‹j~ Šn ý‘ì«362›ÂCIR®9CLE‘ÕX­AR•ÃŽGUMENT’û±)3DLDFPR“G˜·x«1249Ž €n ý•@PÂ1249.Ž©·h–ª¨«De ne‘UUÂCircleŽ‘% Ö«functions‘@­1235“·i‘Ç«+·ޤ ‘ +·gŽ©Â1251.– üDestructor.“«[¬LDF‘T2002.10.09.«]Ž‘Zˆ6Remo•¸ãv“ed–UUthe“destructor.‘qÇÂP®9athŽ‘/«::Ž‘$‘m·Ž‘,X‹ÂP®9athŽ‘Déï«(‘ª¨)“or“ÂP®9athŽ‘潫::‘Ïcle‘ÿ}'arŽ‘(Ý«(‘ª®)Ž¡should– bšGe“used“instead,‘Kunless“I‘õadd“dynamically“allo˜cated“data“mem¸ãb˜ers“to“ÂCircleŽ‘$u<«(rather“than“ÂEllipseŽ‘'úé«orŽ¡ÂP®9athŽ‘‘d«).ަÂ1252.‘ üAssignmen®9t.ަ1253.– üCircle‘…äargumen®9t.“«This–Íyfunction“returns“a“reference“to“·Ž‘ ÍzÏthisŽ‘¹0«,‘+‚whic¸ãh“can“bGe“used“for“furtherŽ¡assignmen¸ãt.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.11.10.«]Ž‘Y;Changed–UUand“simpli ed“this“function.‘qÇIt“no¸ãw“uses“ÂEllipseŽ‘&>2«::Ž‘,ÌpÂopQÇeratorŽ‘Xc%«=Ž‘`*C(‘ª¨).ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂCircleŽ‘% Ö«functions‘@­1239“·i‘Ç«+·ŽŸ ‘ +ÂCircleŽ‘+¸‚«&Ž‘3 ÂopQÇeratorŽ‘_U«=Ž‘fÝs(ÂconstŽ‘*¢CircleŽ‘?ã#«&Ž‘GªA±cŽ‘Kþ«);ŽŽŽŒ‹n~ Šn ý‘ì«366›ÂCIR®9CLE‘ÕX­AR•ÃŽGUMENT’û±)3DLDFPR“G˜·x«1254Ž €n ý•@PÂ1254.Ž©·h–ª¨«De ne‘UUÂCircleŽ‘% Ö«functions‘@­1240“·i‘Ç«+·ޤ ‘ ÂCircleŽ‘+¸‚«&Ž‘3 ÂCircleŽ‘RâЫ::Ž‘YqÂopQÇeratorŽ’…ë=Ž’ŒÎá(ÂconstŽ‘*¢CircleŽ‘?ã#«&Ž‘GªA±cŽ‘Kþ«)Ž¡‘ ·fŽ¡‘Ïr‘ÿ}'adiusŽ‘2=«=‘DZcŽ‘ó:Ïr‘ÿ}'adiusŽ‘È#«;Ž¡‘ÂEllipseŽ‘6èß«::Ž‘=wÂopQÇeratorŽ‘i Ò«=Ž‘pÔð(±cŽ‘SÛ«);Ž¡‘ÂreturnŽ‘7æ¼·Ž‘<æ½ÏthisŽ‘MÒs«;Ž¡‘ -·gŽŸÂ1250.– üEllipse‘8‚argumen®9t.“«This–Š/function“returns“a“reference“to“·Ž‘ Š0ÏthisŽ‘uæ«,‘×ewhic¸ãh“can“bGe“used“for“furtherŽ¡assignmen¸ãt.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +·gŽŸÂ1255.– üEllipse‘8‚argumen®9t.“«This–Š/function“returns“a“reference“to“·Ž‘ Š0ÏthisŽ‘uæ«,‘×ewhic¸ãh“can“bGe“used“for“furtherŽ¡assignmen¸ãt.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.11.10.«]Ž‘Y;Changed–UUand“simpli ed“this“function.‘qÇIt“no¸ãw“uses“ÂEllipseŽ‘&>2«::Ž‘,ÌpÂopQÇeratorŽ‘Xc%«=Ž‘`*C(‘ª¨).Ž¡‘ -[¬LDF‘T2003.08.14.«]Ž‘YTAdded–¡coGde“for“handling“the“case“that“±eŽ›I:Ïaxis‘‰ffŽ‘®vŽ‘fù«and“±eŽ˜:Ïaxis‘‰ffŽ‘®hŽ‘š¨«di er“bš¸ãy“a“small“amoun˜t,Ž¡pšGossible–UUdue“to“imprecision“(see“b˜elo¸ãw).ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂCircleŽ‘% Ö«functions‘@­1234“·i‘Ç«+·Ž¡‘ -ÂCircleŽ‘+¸‚«&Ž‘3 ÂopQÇeratorŽ‘_U«=Ž‘fÝs(ÂconstŽ‘*¢EllipseŽ‘ChЫ&Ž‘K/î±eŽ‘O×ï«);ŽŽŽŒ‹k. Šn ý‘ì·x«1251›­3DLDFPR•ÃŽG’÷âòÂELLIPSE‘ÕX­AR“GUMENT˜«363Ž €n ý•@PÂ1251.‘ ü«If‘sù±eŽ‘ú:Ïaxis‘‰ffŽ‘®vŽ‘Œö·6«=‘DZeŽ‘o:Ïaxis‘‰ffŽ‘®hŽ‘ù«,›¡ it's–sùquite“pGossible“that“the“di erence“is“negligible,˜and“the“result“of“imprecisionޤ resulting–…nfrom“the“represenš¸ãtation“of“ oating“pGoin˜t“n˜um˜bšGers,‘‘tor“calculations“p˜erformed“on“them.‘Therefore,Ž¡wš¸ãe–qcompare“the“absolute“v‘ÿqÇalue“of“their“di erence“with“ÂP•®9oin“tŽ‘›½«::‘ÏepsilonŽ‘ o«(‘ª®)“instead“of“c˜hec˜king“whether“they'reŽ¡equal.‘qÇ[¬LDF‘T2003.08.14.«]ŽŽ¡‘ -It's–1also“pšGossible“that“one“of“them“has“an“in¸ãteger“v‘ÿqÇalue,–Ÿi.e.,“it–1has“only“zero˜es“follo¸ãwing“the“decimal“p˜oin¸ãt,Ž¡and–)the“other“deviates“bš¸ãy“a“small“amoun˜t.‘c In“this“case,‘1òw˜e“w˜an˜t“to“set“Ïr‘ÿ}'adiusŽ‘"U«to“half“of“the“former,‘1òbGecauseŽ¡it's–úðprobably“the“correct“v‘ÿqÇalue.‘b˜So,›$Vif“Ïe‘‰ffŽ–®axis‘‰ffŽ“vŽ‘*ã‘·‘ÛÏ o‘ÿ}'orŽ‘?¯«(Ïe‘‰ffŽ–®axis‘‰ffŽ“vŽ‘# ˆ«),˜w¸ãe“set“Ïr‘ÿ}'adiusŽ‘#¾«to“Ïe‘‰ffŽ–®axis‘‰ffŽ“vŽ‘'x±=«2Ž‘.‘b˜Otherwise,Ž¡wš¸ãe–Tset“Ïr‘ÿ}'adiusŽ‘$pS«to“Ïe‘‰ffŽ–®axis‘‰ffŽ“hŽ‘+ég«without“further“ado.‘nIf“Ïe‘‰ffŽ–®axis‘‰ffŽ“hŽ‘,ÿ·‘o°Ï o‘ÿ}'orŽ‘ÔF«(Ïe‘‰ffŽ–®axis‘‰ffŽ“hŽ‘#A7«),‘“Èso“m˜uc˜h“the“bGetter,‘“Èand“ifŽ¡it–Úisn't,›/|neither“it“nor“Ïe‘‰ffŽ–®axis‘‰ffŽ“vŽ‘+<«has“an“in¸ãteger“v‘ÿqÇalue,˜so“it“doGesn't“matter“whicš¸ãh“one“w˜e“use“to“set“Ïr‘ÿ}'adiusŽ‘Ëý«.Ž¡[¬LDF‘T2003.08.14.«]ŽŽ©·h–ª¨«De ne‘UUÂCircleŽ‘% Ö«functions‘@­1235“·i‘Ç«+·Ž¡‘ +[¬LDF‘T2003.08.14.«]Ž‘YTAdded–¡coGde“for“handling“the“case“that“±eŽ›I:Ïaxis‘‰ffŽ‘®vŽ‘fù«and“±eŽ˜:Ïaxis‘‰ffŽ‘®hŽ‘š¨«di er“bš¸ãy“a“small“amoun˜t,Ž¡pšGossible–UUdue“to“imprecision“(see“b˜elo¸ãw).ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂCircleŽ‘% Ö«functions‘@­1239“·i‘Ç«+·Ž¡‘ +ÂCircleŽ‘+¸‚«&Ž‘3 ÂopQÇeratorŽ‘_U«=Ž‘fÝs(ÂconstŽ‘*¢EllipseŽ‘ChЫ&Ž‘K/î±eŽ‘O×ï«);ŽŽŽŒ‹oØ Šn ý‘ì·x«1256›­3DLDFPR•ÃŽG’÷âòÂELLIPSE‘ÕX­AR“GUMENT˜«367Ž €n ý•@PÂ1256.‘ ü«If‘sù±eŽ‘ú:Ïaxis‘‰ffŽ‘®vŽ‘Œö·6«=‘DZeŽ‘o:Ïaxis‘‰ffŽ‘®hŽ‘ù«,›¡ it's–sùquite“pGossible“that“the“di erence“is“negligible,˜and“the“result“of“imprecisionޤ resulting–…nfrom“the“represenš¸ãtation“of“ oating“pGoin˜t“n˜um˜bšGers,‘‘tor“calculations“p˜erformed“on“them.‘Therefore,Ž¡wš¸ãe–qcompare“the“absolute“v‘ÿqÇalue“of“their“di erence“with“ÂP•®9oin“tŽ‘›½«::‘ÏepsilonŽ‘ o«(‘ª®)“instead“of“c˜hec˜king“whether“they'reŽ¡equal.‘qÇ[¬LDF‘T2003.08.14.«]ŽŽ¡‘ +It's–1also“pšGossible“that“one“of“them“has“an“in¸ãteger“v‘ÿqÇalue,–Ÿi.e.,“it–1has“only“zero˜es“follo¸ãwing“the“decimal“p˜oin¸ãt,Ž¡and–)the“other“deviates“bš¸ãy“a“small“amoun˜t.‘c In“this“case,‘1òw˜e“w˜an˜t“to“set“Ïr‘ÿ}'adiusŽ‘"U«to“half“of“the“former,‘1òbGecauseŽ¡it's–úðprobably“the“correct“v‘ÿqÇalue.‘b˜So,›$Vif“Ïe‘‰ffŽ–®axis‘‰ffŽ“vŽ‘*ã‘·‘ÛÏ o‘ÿ}'orŽ‘?¯«(Ïe‘‰ffŽ–®axis‘‰ffŽ“vŽ‘# ˆ«),˜w¸ãe“set“Ïr‘ÿ}'adiusŽ‘#¾«to“Ïe‘‰ffŽ–®axis‘‰ffŽ“vŽ‘'x±=«2Ž‘.‘b˜Otherwise,Ž¡wš¸ãe–Tset“Ïr‘ÿ}'adiusŽ‘$pS«to“Ïe‘‰ffŽ–®axis‘‰ffŽ“hŽ‘+ég«without“further“ado.‘nIf“Ïe‘‰ffŽ–®axis‘‰ffŽ“hŽ‘,ÿ·‘o°Ï o‘ÿ}'orŽ‘ÔF«(Ïe‘‰ffŽ–®axis‘‰ffŽ“hŽ‘#A7«),‘“Èso“m˜uc˜h“the“bGetter,‘“Èand“ifŽ¡it–Úisn't,›/|neither“it“nor“Ïe‘‰ffŽ–®axis‘‰ffŽ“vŽ‘+<«has“an“in¸ãteger“v‘ÿqÇalue,˜so“it“doGesn't“matter“whicš¸ãh“one“w˜e“use“to“set“Ïr‘ÿ}'adiusŽ‘Ëý«.Ž¡[¬LDF‘T2003.08.14.«]ŽŽ©·h–ª¨«De ne‘UUÂCircleŽ‘% Ö«functions‘@­1240“·i‘Ç«+·Ž¡‘ ÂCircleŽ‘+¸‚«&Ž‘3 ÂCircleŽ‘RâЫ::Ž‘YqÂopQÇeratorŽ’…ë=Ž’ŒÎá(ÂconstŽ‘*¢EllipseŽ‘ChЫ&Ž‘K/î±eŽ‘O×ï«)Ž¡‘ ·fŽ¡‘ÂrealŽ‘*³0Ïe‘‰ffŽ–®axis‘‰ffŽ“vŽ‘P‡Ð«=‘DZeŽ‘o:Ïget‘‰ffŽ–®axis‘‰ffŽ“vŽ‘*ùš«(‘ª¨);Ž¡‘ÂrealŽ‘*³0Ïe‘‰ffŽ–®axis‘‰ffŽ“hŽ‘P»«=‘DZeŽ‘o:Ïget‘‰ffŽ–®axis‘‰ffŽ“hŽ‘+-I«(‘ª¨);ަ‘ÂifŽ‘´ú«(Ïe‘‰ffŽ–®axis‘‰ffŽ“vŽ‘%Ô ·6«=‘ÇÏe‘‰ffŽ–®axis‘‰ffŽ“hŽ‘&O«)‘·fŽ¡‘ÂifŽ‘)´û«(ÏfabsŽ‘2Ò«(Ïe‘‰ffŽ–®axis‘‰ffŽ“vŽ‘%Fh·‘8àÏe‘‰ffŽ–®axis‘‰ffŽ“hŽ‘%z«)–DZ>“ÂP•®9oin“tŽ‘ad«::Ž‘%ï¢ÏepsilonŽ‘E^¦«(‘ª¨))‘·fŽ¡‘(Ïc‘ÿ}'errŽ‘=”Ü·‘ß2Ý"ERROR!È ÝInÈ ÝCircle::oŽ‘kÞöperator=(Ellipse).\nŽ’ÔÞº"Ž’Ý„Q·‘ß2Ý"EllipseÈ ÝhasÈ ÝunequalŽ‘kÞöÈ Ýaxes.È Ý"Ž’™Dx·Ž¡‘<Ý"Can'tÈ ÝperformÈ ÝassigŽ’¤ÿÊnment.È ÝReturning.\n\Ž’ ÿŽn"Ž’ð«;Ž¡‘(ÂreturnŽ‘Kæ¾·Ž‘Pæ¿ÏthisŽ‘aÒu«;Ž¡‘·gŽ¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(Ïe‘‰ffŽ–®axis‘‰ffŽ“vŽ–%Ô ·‘ÇÏ o‘ÿ}'orŽ‘+®«(Ïe‘‰ffŽ–®axis‘‰ffŽ“vŽ‘# ˆ«))‘Ïr‘ÿ}'adiusŽ‘#;«=‘ÇÏe‘‰ffŽ–®axis‘‰ffŽ“vŽ“±=«2±:«0ŽŽ‘ Ç;Ž¡‘ÂelseŽ‘5ØâÏr‘ÿ}'adiusŽ‘Th«=‘ÇÏe‘‰ffŽ–®axis‘‰ffŽ“hŽ‘&O±=«2±:«0ŽŽ‘ Ç;Ž¡‘·gŽ¡‘ÂelseŽ‘+ØáÏr‘ÿ}'adiusŽ‘Jh«=‘DZeŽ‘o:Ïget‘‰ffŽ–®axis‘‰ffŽ“vŽ‘*ùš«(‘ª¨)±=«2±:«0ŽŽ‘ Ç;Ž¡‘ÂEllipseŽ‘6èß«::Ž‘=wÂopQÇeratorŽ‘i Ò«=Ž‘pÔð(±eŽ‘¨«);Ž¡‘ÂreturnŽ‘7æ¼·Ž‘<æ½ÏthisŽ‘MÒs«;Ž¡‘ -·gޤÂ1252.‘ üReturning–ÕTelemen®9ts“and“information.Ž¡1253.– üIs‘pcircular.“«T‘ÿ*ªests–Ûçwhether“·Ž‘ÛèÏthisŽ‘£…«is“circular.‘|OpGerations“suc¸ãh“as“Ïsc‘ÿ}'aleŽ‘Ù«(›ª®)“and“Ïshe‘ÿ}'arŽ‘!«(˜)“can“causeޤ ÂCirclesŽ‘&A½«to–UUbGecome“non-circular.‘qÇ[¬LDF‘T2003.07.25.«]ŽŽ¡‘ +·gޤÂ1257.‘ üReturning–ÕTelemen®9ts“and“information.Ž¡1258.– üIs‘pcircular.“«T‘ÿ*ªests–Ûçwhether“·Ž‘ÛèÏthisŽ‘£…«is“circular.‘|OpGerations“suc¸ãh“as“Ïsc‘ÿ}'aleŽ‘Ù«(›ª®)“and“Ïshe‘ÿ}'arŽ‘!«(˜)“can“causeޤ ÂCirclesŽ‘&A½«to–UUbGecome“non-circular.‘qÇ[¬LDF‘T2003.07.25.«]ŽŽ¡‘ Ïis‘‰ffŽ‘®cir‘ÿ}'cularŽ‘7¥«(›ª®)–„ rst“tests“whether“·Ž‘…ÏthisŽ‘¿«is“planar“using“Ïis‘‰ffŽ‘®planarŽ‘+@«(˜).›]×If“it's“not,‘%{ÏfalseŽ‘îC«is“returned.˜Otherwise,Ž¡the‘ÂP•®9oin“tŽ‘#šl±pŽ‘,¢~«is–set“to“·Ž‘ «(Ïp‘ÿ}'ointsŽ‘$•«[0Ž‘]),‘*Áand“ÂP•®9oin“tŽ‘#šl±cŽ‘+îY«=“Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ‘0=Y«(‘ª®)“is“is“subtracted“from“±pŽ‘ «.‘qþ±pŽ‘ yþ:ÏmagnitudeŽ‘.=r«(‘ª¨)“isŽ¡then–UUstored“in“ÂrealŽ‘ƒÏmag0Ž‘2æZ«.‘qÇ[¬LDF‘T2003.07.25.«]ŽŽ¡‘ Then,‘ÂıpŽ‘ -hã«is–žset“to“eac¸ãh“of“the“other“ÂP•®9oin“tsŽ‘%_«on“the“ÂCircleŽ‘#Ÿj«in“turn,‘ÂıcŽ‘ ´¾«is“subtracted“from“±pŽ›¦«,‘ÂÄand“±pŽ˜:ÏmagnitudeŽ‘.=r«(‘ª¨)Ž¡is–-:stored“in“ÂrealŽ‘¸MÏmagŽ‘-+«.‘diIf“the“absolute“v‘ÿqÇalue“of“the“di erence“ÏmagŽ‘^÷‘è«Ïmag0Ž‘ó¼«is“greater“than“ÂP•®9oin“tŽ‘dž«::‘ÏepsilonŽ‘ o«(‘ª®),Ž¡Ïis‘‰ffŽ‘®cir‘ÿ}'cularŽ‘-¥«(‘ª®)–Àimmediated“returns“ÏfalseŽ‘/«.‘ñIf“ÏfabsŽ‘²’«(ÏmagŽ‘H¯·‘ÿÑÏmag0Ž‘ݨ«)–¸r·“ÂP•®9oin“tŽ‘!R¾«::Ž‘'àüÏepsilonŽ‘GP«(‘ª¨)–Àfor“all“of“the“ÂP•®9oin“tsŽŽ¡·Ž‘«(Ïp‘ÿ}'ointsŽ‘$•«[±nŽ‘š«])–UUfor“±n–Ç>“«0,‘UUÏis‘‰ffŽ‘®cir‘ÿ}'cularŽ‘0úr«(‘ª®)–UUreturns“ÏtrueŽ‘í«.‘qÇ[¬LDF‘T2003.07.25.«]ŽŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.07.25.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂCircleŽ‘% Ö«functions‘@­1234“·i‘Ç«+·Ž¡‘ -Âb•QÇo“olŽ‘#¡gÏis‘‰ffŽ‘®cir‘ÿ}'cularŽ‘QF„«(Âv®9oidŽ‘¨ƒ«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹li Šn ý‘ì«364›­IS‘ÕXCIR•ÃŽCULAR’%~õ3DLDFPR“G˜·x«1254Ž €n ý•@PÂ1254.Ž©·h–ª¨«De ne‘UUÂCircleŽ‘% Ö«functions‘@­1235“·i‘Ç«+·ޤ ‘ +hã«is–žset“to“eac¸ãh“of“the“other“ÂP•®9oin“tsŽ‘%_«on“the“ÂCircleŽ‘#Ÿj«in“turn,‘ÂıcŽ‘ ´¾«is“subtracted“from“±pŽ›¦«,‘ÂÄand“±pŽ˜:ÏmagnitudeŽ‘.=r«(‘ª¨)Ž¡is–-:stored“in“ÂrealŽ‘¸MÏmagŽ‘-+«.‘diIf“the“absolute“v‘ÿqÇalue“of“the“di erence“ÏmagŽ‘^÷‘è«Ïmag0Ž‘ó¼«is“greater“than“ÂP•®9oin“tŽ‘dž«::‘ÏepsilonŽ‘ o«(‘ª®),Ž¡Ïis‘‰ffŽ‘®cir‘ÿ}'cularŽ‘-¥«(‘ª®)–Àimmediated“returns“ÏfalseŽ‘/«.‘ñIf“ÏfabsŽ‘²’«(ÏmagŽ‘H¯·‘ÿÑÏmag0Ž‘ݨ«)–¸r·“ÂP•®9oin“tŽ‘!R¾«::Ž‘'àüÏepsilonŽ‘GP«(‘ª¨)–Àfor“all“of“the“ÂP•®9oin“tsŽŽ¡·Ž‘«(Ïp‘ÿ}'ointsŽ‘$•«[±nŽ‘š«])–UUfor“±n–Ç>“«0,‘UUÏis‘‰ffŽ‘®cir‘ÿ}'cularŽ‘0úr«(‘ª®)–UUreturns“ÏtrueŽ‘í«.‘qÇ[¬LDF‘T2003.07.25.«]ŽŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.07.25.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂCircleŽ‘% Ö«functions‘@­1239“·i‘Ç«+·Ž¡‘ +Âb•QÇo“olŽ‘#¡gÏis‘‰ffŽ‘®cir‘ÿ}'cularŽ‘QF„«(Âv®9oidŽ‘¨ƒ«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹pè Šn ý‘ì«368›­IS‘ÕXCIR•ÃŽCULAR’%~õ3DLDFPR“G˜·x«1259Ž €n ý•@PÂ1259.Ž©·h–ª¨«De ne‘UUÂCircleŽ‘% Ö«functions‘@­1240“·i‘Ç«+·ޤ ‘ Âb•QÇo“olŽ‘#¡gCircleŽ‘C—«::‘Ïis‘‰ffŽ‘®cir‘ÿ}'cularŽ‘.¥!«(Âv®9oidŽ‘¨ƒ«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏtrueŽ‘‹°«;‘±=·–ÿý«false“·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝCircle::isŽ‘kÆÜ_circular().\n"Ž’» «;Ž¡‘ÂifŽ‘´ú«(·:Ïis‘‰ffŽ‘®planarŽ‘(&«(‘ª¨))‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)Ž¡‘(Ïc‘ÿ}'errŽ‘=Ök·‘ ÁÝ"InÈ ÝCircle::is_circuŽ‘l …lar():È Ý"Ž’™Ç–·‘ ÁÝ"*thisÈ ÝisÈ Ýnon-planarŽ‘l ….È ÝReturningÈ Ýfalse."Ž’Ó‡u·Ž¡‘<Ïend‘‚ØlŽ‘R¸à·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½ÏfalseŽ‘V–«;Ž¡‘·gަ‘ÂP•®9oin“tŽ‘2pŽ‘7÷Ÿ«;Ž¡‘ÂP•®9oin“tŽ‘2cŽ‘: ’«=‘ÇÏget‘‰ffŽ‘®c‘ÿ}'enterŽ‘/_«(‘ª¨);Ž¡‘ÂrealŽ‘*³0Ïmag0Ž‘C‘«;Ž¡‘ÂrealŽ‘*³0ÏmagŽ‘=ü«;ަ‘Âv®9ectorŽ‘3ªJ·hÂP•®9oin“tŽ‘ï·Ž‘#ïži‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘ÇÏp‘ÿ}'ointsŽ‘ë­±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘±pŽ‘Ï«=‘Ç·Ž‘ÇŽ‘ ÇÏiterŽ‘Ÿÿ®+‘ÿ+ŽŽ‘,·‘8à±cŽ‘Œ»«;Ž¡‘Ïmag0Ž‘/¤ñ«=‘DZpŽ‘Ï:ÏmagnitudeŽ‘.=r«(‘ª¨);Ž¡‘ÂforŽ‘%舫(Âin®9tŽ‘¤÷±iŽ‘Þ«=‘Ç1Ž‘Ç;‘ÿýÏiterŽ‘’·6«=‘ÇÏp‘ÿ}'ointsŽ‘ë­±:ÏendŽ‘ಫ(‘ª¨);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘±pŽ‘%Ï«=‘Ç·Ž‘ÇŽ‘ ÇÏiterŽ‘Êø·‘8à±cŽ‘Œ»«;Ž¡‘ÏmagŽ‘4ù«=‘DZpŽ‘Ï:ÏmagnitudeŽ‘.=r«(‘ª¨);Ž¡‘ÂifŽ‘)´û«(ÏfabsŽ‘2Ò«(ÏmagŽ‘¾·‘8àÏmag0Ž‘·«)–DZ>“ÂP•®9oin“tŽ‘ad«::Ž‘%ï¢ÏepsilonŽ‘E^¦«(‘ª¨))‘·fŽ¡‘(ÂifŽ‘5?æ«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'errŽ‘ì·‘YFÝ"PointÈ Ý"Ž‘58Ü·‘YF±iŽ‘$€·‘YFÝ"È Ýdoesn'tÈ ÝlieÈ ÝonÈ ÝCirŽ‘nY cle.\n"Ž’˜ø£·Ž¡‘FÝ"ExitingÈ ÝCircle::is_Ž’®ÿËcircular().\n"Ž’ûÍ!·‘ÇÝ"ReturningÈ Ýfalse.\n\Ž‘kÆÜn"Ž‘y”V·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾ÏfalseŽ‘`–«;Ž¡‘·gŽ¡‘€Ÿÿ®+‘ÿ+ŽŽ‘*G#±iŽ‘-¹«;Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝCircle::is_Ž‘kÆÜcircular().È ÝReturninŽ’ÔÆ gÈ Ýtrue.\n"Ž’ ”·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘7æ¼ÏtrueŽ‘J«T«;Ž¡‘ -·gŽŸÂ1255.‘ üGet‘ÕTradius.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.05.10.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂCircleŽ‘% Ö«functions‘@­1234“·i‘Ç«+·Ž¡‘ +·gŽŸÂ1260.‘ üGet‘ÕTradius.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.05.10.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂCircleŽ‘% Ö«functions‘@­1239“·i‘Ç«+·Ž¡‘ ÂinlineŽ‘)ŠIrealŽ‘@=wÏget‘‰ffŽ‘®r‘ÿ}'adiusŽ‘l9V«(‘ª®)Ž¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïr‘ÿ}'adiusŽ‘S®ß«;Ž¡‘ -·gŽŸÂ1256.– üGet‘ÕTdiameter.“«[¬LDF‘T2002.05.10.«]Ž‘Zˆ6Added–UUthis“function.ަ·h–ª¨«Declare‘UUÂCircleŽ‘% Ö«functions‘@­1234“·i‘Ç«+·Ž¡‘ +·gŽŸÂ1261.– üGet‘ÕTdiameter.“«[¬LDF‘T2002.05.10.«]Ž‘Zˆ6Added–UUthis“function.ަ·h–ª¨«Declare‘UUÂCircleŽ‘% Ö«functions‘@­1239“·i‘Ç«+·Ž¡‘ ÂinlineŽ‘)ŠIrealŽ‘@=wÏget‘‰ffŽ‘®diameterŽ‘x<(«(‘ª®)Ž¡‘ ·fŽ¡‘ÂreturnŽ‘7漫(2Ž‘8á·‘8àÏr‘ÿ}'adiusŽ‘«);Ž¡‘ -·gŽŽŽŒ‹m- Šn ý‘ì·x«1257–­3DLDFPRÃŽG’žçINTERSECTIONS“«365Ž €n ý•@PÂ1257.– üIn®9tersections.“«Neither–|¡GCC›|—nor“the“DEC˜compiler“could“resolv¸ãe“a“call“to“Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘U €«(‘ª®)ޤ with‘¥;ÂP•®9oin“tŽ‘ 侫argumenš¸ãts–¥;to“ÂEllipseŽ‘%Ž«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘RŒã«(‘ª®),‘Èsafter“a“ÂCircleŽ‘#­¢«v˜ersion“with“a“ÂCircleŽ‘#­¢«argumen˜t“hadŽ¡bGeen–¤declared.‘^TO›¤DO:“I˜didn't“think“this“w¸ãould“happGen,‘·Åso“I˜should“probably“review“the“rules“go•¸ãv“erningŽ¡resolution–UUof“calls“to“functions“on“ob‘Ž8jects“of“deriv¸ãed“classes.‘qÇ[¬LDF‘T2003.07.09.«]ŽŽ¡‘ +·gŽŽŽŒ‹q)g Šn ý‘ì·x«1262–­3DLDFPRÃŽG’žçINTERSECTIONS“«369Ž €n ý•@PÂ1262.– üIn®9tersections.“«Neither–|¡GCC›|—nor“the“DEC˜compiler“could“resolv¸ãe“a“call“to“Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘U €«(‘ª®)ޤ with‘¥;ÂP•®9oin“tŽ‘ 侫argumenš¸ãts–¥;to“ÂEllipseŽ‘%Ž«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘RŒã«(‘ª®),‘Èsafter“a“ÂCircleŽ‘#­¢«v˜ersion“with“a“ÂCircleŽ‘#­¢«argumen˜t“hadŽ¡bGeen–¤declared.‘^TO›¤DO:“I˜didn't“think“this“w¸ãould“happGen,‘·Åso“I˜should“probably“review“the“rules“go•¸ãv“erningŽ¡resolution–UUof“calls“to“functions“on“ob‘Ž8jects“of“deriv¸ãed“classes.‘qÇ[¬LDF‘T2003.07.09.«]ŽŽ¡‘ Therefore,‘/ÔI'vš¸ãe–&tadded“ÂCircleŽ‘$°«v˜ersions“of“this“function,‘/Ôwith“ÂP•®9oin“tŽ‘!ç0«and“ÂP®9athŽ‘ÞL«argumen˜ts,‘/Ôthat“simply“callŽ¡the‘UUÂEllipseŽ‘(“ƒ«vš¸ãersions,–UUand“return“their“return“v‘ÿqÇalues.‘qÇThis“solv˜es“the“problem.‘qÇ[¬LDF‘T2003.07.09.«]ŽŽ¡‘ The–Ï¡program“executed“correctly“under“Linš¸ãux,‘î4after“I‘Ï‚recompiled“with“GCC.“Ho˜w˜ev˜er,›î4under“T‘ÿ*ªru65,˜theŽ¡program–ÑNcaused“a“\Memory“fault"“error.‘å³After“I‘Ñ/remo•¸ãv“ed–ÑNthe“ob‘Ž8ject“ les,‘ðMand“recompiled“(with“the“DECŽ¡compiler),–UUthe“problem“disappGeared.‘qÇ[¬LDF‘T2003.07.09.«]ŽŽ¡‘ -[¬LDF‘T2003.07.18.«]Ž‘Y;TO–UUDO:“Add“ÂCircleŽ‘"¸…«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘RŒã«(ÂconstŽ‘*¢EllipseŽ‘ChЫ&Ž‘K/î)“andŽ¡ÂEllipseŽ‘"èÝ«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘RŒã«(ÂconstŽ‘*¢CircleŽ‘?ã#«&Ž‘GªA).Ž©Â1258.‘ üP•®9oin“t‘ÕTargumen“t.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.07.09.«]Ž‘Y;Added–UUthis“function.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂCircleŽ‘% Ö«functions‘@­1234“·i‘Ç«+·ŽŸ ‘ -ÂvirtualŽ‘/Ôb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ’€òÂÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ’Ò¡«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]Ïpt0Ž‘TJ˜±;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒÏpt1Ž‘Uõ@«)‘UUÂconstŽ‘*¢«;ަÂ1259.Ž¡·h–ª¨«De ne‘UUÂCircleŽ‘% Ö«functions‘@­1235“·i‘Ç«+·ޤ ‘ +[¬LDF‘T2003.07.18.«]Ž‘Y;TO–UUDO:“Add“ÂCircleŽ‘"¸…«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘RŒã«(ÂconstŽ‘*¢EllipseŽ‘ChЫ&Ž‘K/î)“andŽ¡ÂEllipseŽ‘"èÝ«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘RŒã«(ÂconstŽ‘*¢CircleŽ‘?ã#«&Ž‘GªA).Ž©Â1263.‘ üP•®9oin“t‘ÕTargumen“t.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.07.09.«]Ž‘Y;Added–UUthis“function.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂCircleŽ‘% Ö«functions‘@­1239“·i‘Ç«+·ŽŸ ‘ +ÂvirtualŽ‘/Ôb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ’€òÂÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ’Ò¡«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]Ïpt0Ž‘TJ˜±;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒÏpt1Ž‘Uõ@«)‘UUÂconstŽ‘*¢«;ަÂ1264.Ž¡·h–ª¨«De ne‘UUÂCircleŽ‘% Ö«functions‘@­1240“·i‘Ç«+·ޤ ‘ Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘[dïCircleŽ‘zÈ«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘RŒã«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]Ïpt0Ž‘TJ˜±;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒÏpt1Ž‘Uõ@«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼EllipseŽ‘ZÏ™«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘RŒã«(Ïpt0Ž‘i;±;‘ª¨Ïpt1Ž‘ã«);Ž¡‘ -·gަÂ1260.‘ üP•®9ath‘ÕTargumen“t.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.07.09.«]Ž‘Y;Added–UUthis“function.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂCircleŽ‘% Ö«functions‘@­1234“·i‘Ç«+·ŽŸ ‘ -ÂvirtualŽ‘/Ôb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ’€òÂÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ’Ò¡«(ÂconstŽ‘*¢P®9athŽ‘:[«&Ž‘AØy±pŽ‘Fày«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹n8° Šn ý‘ì«366›ÂP–ÿ -«A“TH‘ÕX­AR•ÃŽGUMENT’Í–3DLDFPR“G˜·x«1261Ž €n ý•@PÂ1261.Ž©·h–ª¨«De ne‘UUÂCircleŽ‘% Ö«functions‘@­1235“·i‘Ç«+·ޤ ‘ +·gަÂ1265.‘ üP•®9ath‘ÕTargumen“t.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.07.09.«]Ž‘Y;Added–UUthis“function.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂCircleŽ‘% Ö«functions‘@­1239“·i‘Ç«+·ŽŸ ‘ +ÂvirtualŽ‘/Ôb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ’€òÂÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ’Ò¡«(ÂconstŽ‘*¢P®9athŽ‘:[«&Ž‘AØy±pŽ‘Fày«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹r4Ù Šn ý‘ì«370›ÂP–ÿ +«A“TH‘ÕX­AR•ÃŽGUMENT’Í–3DLDFPR“G˜·x«1266Ž €n ý•@PÂ1266.Ž©·h–ª¨«De ne‘UUÂCircleŽ‘% Ö«functions‘@­1240“·i‘Ç«+·ޤ ‘ Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘[dïCircleŽ‘zÈ«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘RŒã«(ÂconstŽ‘*¢P®9athŽ‘:[«&Ž‘AØy±pŽ‘Fày«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼EllipseŽ‘ZÏ™«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘RŒã«(±pŽ‘«);Ž¡‘ -·gŽŸÂ1262.‘ üCircle‘ÕTargumen®9t.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +·gŽŸÂ1267.‘ üCircle‘ÕTargumen®9t.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.07.20.«]Ž‘Yê5W›ÿ*ªrote–7Othe“de nition“of“this“function.‘´T˜ested“all“cases.‘´It“should“probably“bGe“testedŽ¡more‘UUthoroughly‘ÿ*ª.Ž¡‘ [¬LDF‘T2003.08.14.«]Ž‘X´!Made‘;Ïverb‘ÿ}'oseŽ›&“Ó«argumen¸ãt–;non-ÂconstŽ‘ÕM«.‘U¿Setting“Ïverb‘ÿ}'oseŽ˜«to“ÏtrueŽ‘Ç«if“ÝVERBOSE_GLOBALŽ‘P´«is“ÏtrueŽ‘ÅÓ«.Ž¡Added‘UUÝVERBOSE_GLOBALŽ‘P°è«to–UUÈpspglb.web“«toGda¸ãy‘ÿ*ª.Ž¡‘ -[¬LDF‘T2003.08.27.«]Ž‘Y;Remo•¸ãv“ed–UUthe“declaration“ÂrealŽ‘ƒÏc‘‰ffŽ‘®r‘ÿ}'adiusŽ‘Am¥«=“±cŽ‘©0:Ïr‘ÿ}'adiusŽ‘È#«,“since“Ïc‘‰ffŽ‘®r‘ÿ}'adiusŽ‘*ºw«wš¸ãas“nev˜er“used.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂCircleŽ‘% Ö«functions‘@­1234“·i‘Ç«+·Ž¡‘ -ÂvirtualŽ‘/Ôb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜quadrupleŽ’ŸtÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ’ñ^«(ÂconstŽ‘*¢CircleŽ‘?ã#«&Ž‘GªA±cŽ‘Kþ;‘ª¨Âb•QÇo“olŽ‘LÏverb‘ÿ}'oseŽ‘>¤ƒ«=‘ÇÏfalseŽ‘v\«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹oD— Šn ý‘ì·x«1263›­3DLDFPR•ÃŽG’û±)ÂCIR®9CLE‘ÕX­AR“GUMENT˜«367Ž €n ý•@PÂ1263.Ž©·h–ª¨«De ne‘UUÂCircleŽ‘% Ö«functions‘@­1235“·i‘Ç«+·ޤ ‘ +[¬LDF‘T2003.08.27.«]Ž‘Y;Remo•¸ãv“ed–UUthe“declaration“ÂrealŽ‘ƒÏc‘‰ffŽ‘®r‘ÿ}'adiusŽ‘Am¥«=“±cŽ‘©0:Ïr‘ÿ}'adiusŽ‘È#«,“since“Ïc‘‰ffŽ‘®r‘ÿ}'adiusŽ‘*ºw«wš¸ãas“nev˜er“used.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂCircleŽ‘% Ö«functions‘@­1239“·i‘Ç«+·Ž¡‘ +ÂvirtualŽ‘/Ôb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜quadrupleŽ’ŸtÏinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ’ñ^«(ÂconstŽ‘*¢CircleŽ‘?ã#«&Ž‘GªA±cŽ‘Kþ;‘ª¨Âb•QÇo“olŽ‘LÏverb‘ÿ}'oseŽ‘>¤ƒ«=‘ÇÏfalseŽ‘v\«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹s@j Šn ý‘ì·x«1268›­3DLDFPR•ÃŽG’û±)ÂCIR®9CLE‘ÕX­AR“GUMENT˜«371Ž €n ý•@PÂ1268.Ž©·h–ª¨«De ne‘UUÂCircleŽ‘% Ö«functions‘@­1240“·i‘Ç«+·ޤ ‘ Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜quadrupleŽ‘yæ¬CircleŽ’™IÜ«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘RŒã«(ÂconstŽ‘*¢CircleŽ‘?ã#«&Ž‘GªA±cŽ‘Kþ;‘ª¨Âb•QÇo“olŽ‘LÏverb‘ÿ}'oseŽ‘;Ýk«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝVERBOSE_GLOBALŽ‘J>«)‘Ïverb‘ÿ}'oseŽ‘(Xu«=‘ÇÏtrueŽ‘‹°«;Ž¡‘ÂifŽ‘";¼«(ÝDEBUGŽ‘®c·_‘è Ïverb‘ÿ}'oseŽ‘$yg«)‘Ïc‘ÿ}'outŽ‘V7·‘ýÝ"*******************Ž‘oüÄ***\n"Ž’—·Ž¡‘2Ý"\nEnteringÈ ÝCircle::Ž’šÿÉintersection_points(Ž’ÿconstÈ ÝCircle&)\n\n"Ž’hE¼«;ަ‘Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜quadrupleŽ’ƒæ­Ïbp‘ÿ}'qŽ’•ßá«=‘ÇÝINVALID_BOOL_POINT_QUADRUPLEŽ’–M,«;Ž¡‘ÂPlaneŽ‘46ºÏthis‘‰ffŽ‘®planeŽ‘b…Ì«=‘ÇÏget‘‰ffŽ‘®planeŽ‘+>«(‘ª¨);Ž¡‘ÂPlaneŽ‘46ºÏc‘‰ffŽ‘®planeŽ‘Wˆ¨«=‘DZcŽ‘ó:Ïget‘‰ffŽ‘®planeŽ‘(vè«(‘ª¨);ަ‘ÂifŽ‘´ú«(·:«(Ïthis‘‰ffŽ‘®planeŽ‘+‡ú±:ÏnormalŽ–#з‘ÇÏc‘‰ffŽ‘®planeŽ‘#Qî±:ÏnormalŽ‘"˜·_‘8àÏthis‘‰ffŽ‘®planeŽ‘-ÀÚ±:ÏnormalŽ“·‘ÇŽ‘ -Ž6Ïc‘‰ffŽ‘®planeŽ‘+ ±:ÏnormalŽ‘ V¸«))‘·fŽ¡‘ÂifŽ‘+íÌ«(Ïverb‘ÿ}'oseŽ‘$Eq·_‘´ÝDEBUGŽ‘zm«)‘Ïc‘ÿ}'outŽ‘ÔR·‘{Ý"CirclesÈ ÝareÈ Ýnon-copŽ‘ozßlanar.È Ý"Ž’ |J·Ž¡‘<Ý"CallingÈ ÝEllipse::inŽ’¤ÿÊtersection_points()\Ž’ ÿŽn\n"Ž’&M·‘ÇÏ ushŽ‘€«;Ž¡‘Ïbp‘ÿ}'qŽ‘/ù7«=‘ÇÂEllipseŽ‘%¯õ«::Ž‘,>3Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘}Ë«(±cŽ‘SÛ;‘ª¨Ïverb‘ÿ}'oseŽ‘"<«);Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"ExitingÈ ÝCircle::intŽ‘kÆÜersection_points(conŽ’ÔÆ stÈ ÝCircle&)"Ž’ü·‘ÇÏend‘‚ØlŽ–ò·‘ÇÏend‘‚ØlŽ“·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½Ïbp‘ÿ}'qŽ‘QÙ«;Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘ÂifŽ‘)´û«(Ïverb‘ÿ}'oseŽ‘"Ê=·_‘8àÝDEBUGŽ‘ÿ9«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"CirclesÈ ÝareÈ ÝcoplanaŽ‘kÆÜr.\n"Ž’†5«;ަ‘ÂrealŽ‘4³1ÏdistŽ‘H†¶«=‘Ç(±cŽ‘SÛ:Ïc‘ÿ}'enterŽ–Bk·‘8àÏc‘ÿ}'enterŽ“«)±:ÏmagnitudeŽ‘.=r«(‘ª¨);ަ‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"distÈ Ý==È Ý"Ž‘:”z·‘ÇÏdistŽ‘š·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ÂifŽ‘)´û«(ÏdistޑӅ·‘Ç«0Ž‘Ç)‘·fŽ¡‘(ÂifŽ‘3´ü«(Ïverb‘ÿ}'oseŽ‘"Ê=·_‘8àÝDEBUGŽ‘ÿ9«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"CirclesÈ ÝhaveÈ ÝsameÈ ÝcŽ‘kÆÜenter.\n"Ž’›)«;Ž¡‘(ÂifŽ‘3´ü«(Ïr‘ÿ}'adiusŽ‘;·‘DZcŽ‘ó:Ïr‘ÿ}'adiusŽ‘È#«)‘·fŽ¡‘2ÂifŽ‘=´ý«(Ïverb‘ÿ}'oseŽ‘"Ê=·_‘8àÝDEBUGŽ‘ÿ9«)‘·fŽ¡‘<Ïc‘ÿ}'outŽ‘Rnâ·‘¥Ý"CirclesÈ ÝareÈ ÝcongrueŽ‘lint.È Ý"Ž’‰ñg·‘¥Ý"ReturningÈ ÝINVALID_BŽ‘liOOL_POINT_QUADRUPLE.Ž’Õ-\ŽŽ¡‘P\n\n"Ž‘my·‘ÇÏ ushŽ‘€«;Ž¡‘2·gŽ¡‘2ÂifŽ‘>/T«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ì5·‘’þÝ"\nExitingÈ ÝCircle::iŽ‘l’Ântersection_points(cŽ’Õ’†onstÈ ÝCircle&)."Ž’(k¿·Ž¡‘PÏend‘‚ØlŽ‘f¸â·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2ÂreturnŽ‘Uæ¿ÝINVALID_BOOL_POINT_QUADRUPLEŽ’élÓ«;Ž¡‘(·gŽ¡‘(ÂelseŽ‘>.8ifŽ‘Iã0«(Ïr‘ÿ}'adiusŽ‘;±>‘ÇcŽ‘ó:Ïr‘ÿ}'adiusŽ‘È#«)‘·fŽ¡‘2ÂifŽ‘=´ý«(Ïverb‘ÿ}'oseŽ‘"Ê=·_‘8àÝDEBUGŽ‘ÿ9«)‘·fŽ¡‘<Ïc‘ÿ}'outŽ‘R¦ä·‘M§Ý"*thisÈ ÝandÈ ÝcÈ ÝlieÈ ÝoutŽ‘lMksideÈ ÝofÈ ÝeachÈ Ýother.È Ž’ÕM/ÝNoÈ Ýintersections."Ž’7¡·‘M§Ïend‘‚ØlŽ‘·Ž¡‘PÝ"ReturningÈ ÝINVALID_BŽ’¸ÿÌOOL_POINT_QUADRUPLE.Ž’!ÿ\n\n"Ž’?·‘ÇÏ ushŽ‘€«;Ž¡‘2·gŽ¡‘2ÂifŽ‘>/T«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ì5·‘’þÝ"\nExitingÈ ÝCircle::iŽ‘l’Ântersection_points(cŽ’Õ’†onstÈ ÝCircle&)."Ž’(k¿·Ž¡‘PÏend‘‚ØlŽ‘f¸â·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2ÂreturnŽ‘Uæ¿ÝINVALID_BOOL_POINT_QUADRUPLEŽ’élÓ«;Ž¡‘(·gŽ¡‘(ÂelseŽ‘>.8ifŽ‘Iã0«(Ïr‘ÿ}'adiusŽ‘;±<‘ÇcŽ‘ó:Ïr‘ÿ}'adiusŽ‘È#«)‘·fŽ¡‘2ÂifŽ‘=´ý«(Ïverb‘ÿ}'oseŽ‘"Ê=·_‘8àÝDEBUGŽ‘ÿ9«)‘·fŽ¡‘<Ïc‘ÿ}'outŽ‘Tôì·‘›¯Ý"*thisÈ ÝliesÈ ÝinsideÈ ÝcŽ‘n›s.È ÝNoÈ Ýintersections."Ž’Ý½N·‘›¯Ïend‘‚ØlŽ‘) ·Ž¡‘PÝ"ReturningÈ ÝINVALID_BŽ’¸ÿÌOOL_POINT_QUADRUPLE.Ž’!ÿ\n\n"Ž’?·‘ÇÏ ushŽ‘€«;Ž¡‘2·gŽ¡‘2ÂifŽ‘>/T«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ì5·‘’þÝ"\nExitingÈ ÝCircle::iŽ‘l’Ântersection_points(cŽ’Õ’†onstÈ ÝCircle&)."Ž’(k¿·Ž¡‘PÏend‘‚ØlŽ‘f¸â·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2ÂreturnŽ‘Uæ¿ÝINVALID_BOOL_POINT_QUADRUPLEŽ’élÓ«;ŽŽŽŒ‹pJß Šn ý‘ì«368›ÂCIR®9CLE‘ÕX­AR•ÃŽGUMENT’û±)3DLDFPR“G˜·x«1263Ž €n ý•@P‘(·gޤ ‘(ÂelseŽ‘?Øã·fŽ¡‘2Ïc‘ÿ}'errŽ‘GÜ«·‘'Ý"ERROR!È ÝInÈ Ý"Ž‘EÔD·‘'Ý"|Circle::intersectiŽ‘l&Äon_points(constÈ ÝCircŽ’Õ&ˆle&)|"Ž’øSÞ·‘'Ïend‘‚ØlŽ‘?·Ž¡‘FÝ"ThisÈ Ýcan'tÈ Ýhappen!"Ž’²Ç‹·‘AXÝ"radiusÈ Ýand/orÈ Ýc.radŽ‘lAiusÈ ÝhaveÈ ÝinvalidÈ ÝvalŽ’Õ@àues:\n"Ž’ýÈ‹·Ž¡‘FÝ"radiusÈ Ý=È Ý"Ž’„¾ì·‘xžÏr‘ÿ}'adiusŽ‘$¹_·‘xžÏend‘‚ØlŽ–âþ·‘xžÝ"c.radiusÈ Ý=È Ý"Ž‘M·}·‘xž±cŽ‘Ìy:Ïr‘ÿ}'adiusŽ‘ @Á·‘xžÏend‘‚ØlŽ“·Ž¡‘FÝ"ReturningÈ ÝINVALID_BŽ’®ÿËOOL_POINT_QUADRUPLE.Ž’ÿ\n\n"Ž’5·‘ÇÏ ushŽ‘€«;Ž¡‘2ÂifŽ‘>/T«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ì5·‘’þÝ"\nExitingÈ ÝCircle::iŽ‘l’Ântersection_points(cŽ’Õ’†onstÈ ÝCircle&)."Ž’(k¿·Ž¡‘PÏend‘‚ØlŽ‘f¸â·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2ÂreturnŽ‘Uæ¿ÝINVALID_BOOL_POINT_QUADRUPLEŽ’élÓ«;Ž¡‘(·gŽ¡‘g‘±=·‘ÿýÂifŽ‘´õ«(ÏdistޑӅ·‘Ç«0Ž‘Ç)‘ÿý·±=Ž¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(ÏdistޑӅ±>‘Ç«(Ïr‘ÿ}'adiusŽ‘«+‘8à±cŽ‘Œ»:Ïr‘ÿ}'adiusŽ‘È#«))‘·fŽ¡‘(ÂifŽ‘3´ü«(Ïverb‘ÿ}'oseŽ‘"Ê=·_‘8àÝDEBUGŽ‘ÿ9«)Ž¡‘2Ïc‘ÿ}'outŽ‘HÛu·‘‚9Ý"*thisÈ ÝandÈ ÝcÈ ÝlieÈ ÝoutŽ‘lýsideÈ ÝofÈ ÝeachÈ Ýother.È Ž’ÕÁÝ"Ž’ÞÊ_·‘‚9Ý"NoÈ Ýintersections.\nŽ‘lý"Ž‘uÊ›·Ž¡‘FÝ"ReturningÈ ÝINVALID_BŽ’®ÿËOOL_POINT_QUADRUPLE.Ž’ÿ\n\n"Ž’5·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂifŽ‘3ËK«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘E|·‘ìEÝ"\nExitingÈ ÝCircle::iŽ‘kì ntersection_points(cŽ’ÔëÍonstÈ ÝCircle&)."Ž’'M·‘ìEÏend‘‚ØlŽ‘ÊL·Ž¡‘FÏend‘‚ØlŽ‘\¸á·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾ÝINVALID_BOOL_POINT_QUADRUPLEŽ’ßlÒ«;Ž¡‘·gŽ¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(ÏdistޑӅ·‘Ç«(Ïr‘ÿ}'adiusŽ‘«+‘8à±cŽ‘Œ»:Ïr‘ÿ}'adiusŽ‘È#«))‘·fŽ¡‘(ÂifŽ‘4œa«(Ïverb‘ÿ}'oseŽ‘#d€·_‘Ó#ÝDEBUGŽ‘™|«)‘Ïc‘ÿ}'outŽ‘¡ö·‘H¿Ý"thisÈ ÝandÈ ÝcÈ ÝhaveÈ ÝaÈ ÝtŽ‘mHƒangentÈ ÝonÈ ÝtheÈ ÝoutsidŽ’ÖHGeÈ Ý"Ž’ê×e·Ž¡‘FÝ"(oneÈ ÝintersectionÈ ÝpŽ’®ÿËoint).\n"Ž’ÞÆ«;Ž¡‘(Ïbp‘ÿ}'qŽ‘72 ±:Ï rstŽ‘µª±:ÏptŽ‘ ä±:ÏsetŽ‘ x„«(±cŽ‘SÛ:Ïc‘ÿ}'enterŽ–Bk·‘8àÏc‘ÿ}'enterŽ“«);Ž¡‘(Ïbp‘ÿ}'qŽ‘72 ±:Ï rstŽ‘µª±:ÏptŽ‘ ä±:Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘0•u«(Ïtrueޑƫ);Ž¡‘(Ïbp‘ÿ}'qŽ‘72 ±:Ï rstŽ‘µª±:ÏptŽ‘ «µ·«=ŽŽ‘9ìÏr‘ÿ}'adiusŽ‘8«;Ž¡‘(Ïbp‘ÿ}'qŽ‘72 ±:Ï rstŽ‘µª±:ÏptŽ‘ ä±:ÏshiftŽ‘}«(Ïc‘ÿ}'enterŽ‘ ‹«);Ž¡‘(Ïbp‘ÿ}'qŽ‘72 ±:Ï rstŽ‘µª±:bŽ‘«=‘ÇÏtrueŽ‘‹°«;Ž¡‘(ÂifŽ‘3ËK«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘E|·‘ìEÝ"\nExitingÈ ÝCircle::iŽ‘kì ntersection_points(cŽ’ÔëÍonstÈ ÝCircle&)."Ž’'M·‘ìEÏend‘‚ØlŽ‘ÊL·Ž¡‘FÏend‘‚ØlŽ‘\¸á·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾Ïbp‘ÿ}'qŽ‘[Ú«;Ž¡‘·gŽ¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(ÏdistޑӅ·‘ÇÏmaxŽ‘k³«(Ïr‘ÿ}'adiusŽ–È#±;‘ª¨cŽ›þƒ:Ïr‘ÿ}'adiusŽ“«)–8à·“ÏminŽ‘]õ«(Ïr‘ÿ}'adiusŽ–È#±;‘ª¨cŽ˜:Ïr‘ÿ}'adiusŽ“«))‘·fŽ¡‘(ÂifŽ‘4œa«(Ïverb‘ÿ}'oseŽ‘#d€·_‘Ó#ÝDEBUGŽ‘™|«)‘Ïc‘ÿ}'outŽ‘¡ö·‘H¿Ý"*thisÈ ÝandÈ ÝcÈ ÝhaveÈ ÝaÈ Ž‘mHƒÝtangentÈ ÝonÈ ÝtheÈ ÝinsidŽ’ÖHGeÈ Ý"Ž’ê×e·Ž¡‘FÝ"(oneÈ ÝintersectionÈ ÝpŽ’®ÿËoint).\n"Ž’ÞÆ«;Ž¡‘(ÂifŽ‘3´ü«(Ïr‘ÿ}'adiusŽ‘;±>‘ÇcŽ‘ó:Ïr‘ÿ}'adiusŽ‘È#«)‘·fŽ¡‘2ÂifŽ‘=´ý«(Ïverb‘ÿ}'oseŽ‘"Ê=·_‘8àÝDEBUGŽ‘ÿ9«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"cÈ ÝliesÈ ÝwithinÈ Ý*thisŽ‘kÆÜ.\n"Ž’M8«;Ž¡‘2Ïbp‘ÿ}'qŽ‘A2!±:Ï rstŽ‘µª±:ÏptŽ‘ ä±:ÏsetŽ‘ x„«(±cŽ‘SÛ:Ïc‘ÿ}'enterŽ–Bk·‘8àÏc‘ÿ}'enterŽ“«);Ž¡‘(·gŽ¡‘(ÂelseŽ‘?Øã·fŽ¡‘2ÂifŽ‘=´ý«(Ïverb‘ÿ}'oseŽ‘"Ê=·_‘8àÝDEBUGŽ‘ÿ9«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"*thisÈ ÝliesÈ ÝwithinÈ ÝcŽ‘kÆÜ.\n"Ž’M8«;Ž¡‘2Ïbp‘ÿ}'qŽ‘A2!±:Ï rstŽ‘µª±:ÏptŽ‘ ä±:ÏsetŽ‘ x„«(Ïc‘ÿ}'enterŽ‘Bk·‘8à±cŽ‘Œ»:Ïc‘ÿ}'enterŽ‘ ‹«);Ž¡‘(·gŽ¡‘(Ïbp‘ÿ}'qŽ‘72 ±:Ï rstŽ‘µª±:ÏptŽ‘ ä±:Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘0•u«(Ïtrueޑƫ);Ž¡‘(Ïbp‘ÿ}'qŽ‘72 ±:Ï rstŽ‘µª±:ÏptŽ‘ «µ·«=ŽŽ‘9ìÏr‘ÿ}'adiusŽ‘8«;Ž¡‘(Ïbp‘ÿ}'qŽ‘72 ±:Ï rstŽ‘µª±:ÏptŽ‘ ä±:ÏshiftŽ‘}«(Ïc‘ÿ}'enterŽ‘ ‹«);Ž¡‘(Ïbp‘ÿ}'qŽ‘72 ±:Ï rstŽ‘µª±:bŽ‘«=‘ÇÏtrueŽ‘‹°«;Ž¡‘(ÂifŽ‘3ËK«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘E|·‘ìEÝ"\nExitingÈ ÝCircle::iŽ‘kì ntersection_points(cŽ’ÔëÍonstÈ ÝCircle&)."Ž’'M·‘ìEÏend‘‚ØlŽ‘ÊL·Ž¡‘FÏend‘‚ØlŽ‘\¸á·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾Ïbp‘ÿ}'qŽ‘[Ú«;Ž¡‘·gŽ¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(ÏdistޑӅ±<‘Ç«(Ïr‘ÿ}'adiusŽ‘«+‘8à±cŽ‘Œ»:Ïr‘ÿ}'adiusŽ‘È#«))‘·fŽ¡‘(ÂifŽ‘3´ü«(ÏdistޑӅ±>‘ÇÏmaxŽ‘k³«(Ïr‘ÿ}'adiusŽ–È#±;‘ª¨cŽ›þƒ:Ïr‘ÿ}'adiusŽ“«)–8à·“ÏminŽ‘]õ«(Ïr‘ÿ}'adiusŽ–È#±;‘ª¨cŽ˜:Ïr‘ÿ}'adiusŽ“«))‘·fŽŽŽŒ‹q\W Šn ý‘ì·x«1263›­3DLDFPR•ÃŽG’û±)ÂCIR®9CLE‘ÕX­AR“GUMENT˜«369Ž €n ý•@P‘2ÂifŽ‘=´ý«(Ïverb‘ÿ}'oseŽ‘"Ê=·_‘8àÝDEBUGŽ‘ÿ9«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"tÈ ÝandÈ ÝcÈ ÝhaveÈ Ý2È ÝinteŽ‘kÆÜrsections.\n"Ž’°«;Ž©‘2ÂrealŽ‘H³3±aŽ‘PÃ{«=‘ÇÏr‘ÿ}'adiusŽ‘;«;ޤ ‘2ÂrealŽ‘H³3ÏbbŽ‘UÑë«=‘DZcŽ‘ó:Ïr‘ÿ}'adiusŽ‘·‘8à±cŽ‘Œ»:Ïr‘ÿ}'adiusŽ‘È#«;Ž¡‘2ÂrealŽ‘H³3Ïb‘ÿ}'etaŽ‘]àÈ«=‘Ç2Ž‘ ÿù·‘8àÏatanŽ‘ªÀ«(ÏsqrtŽ‘¯ù«((ÏbbŽ‘ €·–8à«((ÏdistŽ›EM·“±aŽ‘‚«)“·“«(ÏdistŽ˜·“±aŽ‘‚«)))±=«(((ÏdistŽ˜«+“±aŽ‘‚«)“·“«(ÏdistŽ˜«+“±aŽ‘‚«))“·“ÏbbŽ‘ €«)));ަ‘2Ïb‘ÿ}'etaŽ‘G-š·«=ŽŽ‘V»Ñ180ŽŽ‘e»Ô±=ÝPIŽ‘ b«;Ž¡‘2ÂifŽ‘=´ý«(Ïverb‘ÿ}'oseŽ‘"Ê=·_‘8àÝDEBUGŽ‘ÿ9«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"betaÈ Ý==È Ý"Ž‘:”z·‘ÇÏb‘ÿ}'etaŽ‘ô­·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;ަ‘2ÂP•®9oin“tŽ‘PPŽ‘X¾¿«(±cŽ‘SÛ:Ïc‘ÿ}'enterŽ–Bk·‘8àÏc‘ÿ}'enterŽ“«);ަ‘2±PŽ‘9Ï":Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘0•u«(Ïtrueޑƫ);Ž¡‘2±PŽ‘<–:·«=ŽŽ‘L$qÏr‘ÿ}'adiusŽ‘g씫;Ž¡‘2±PŽ‘9Ï":ÏshiftŽ‘}«(Ïc‘ÿ}'enterŽ‘ ‹«);ަ‘2ÂP•®9oin“tŽ‘Pï¢ÏnormalŽ‘t r«=‘ÇÏget‘‰ffŽ‘®normalŽ‘3QŒ«(‘ª¨);ަ‘2ÏnormalŽ‘RV½±:ÏshiftŽ‘}«(Ïc‘ÿ}'enterŽ‘ ‹«);Ž¡‘2ÂifŽ‘=´ý«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘<±PŽ‘CÏ#:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"P"Ž‘F_«);Ž¡‘<±PŽ‘CÏ#:ÏshowŽ‘Šÿ«(Ý"P"Ž‘F_«);Ž¡‘<ÏnormalŽ‘\V¾±:ÏshowŽ‘Šÿ«(Ý"normal"Ž‘*†P«);Ž¡‘2·gŽ¡‘2Ïbp‘ÿ}'qŽ‘A2!±:Ï rstŽ‘µª±:bŽ‘«=‘ÇÏtrueŽ‘‹°«;Ž¡‘2Ïbp‘ÿ}'qŽ‘A2!±:Ï rstŽ‘µª±:ÏptŽ‘ «µ«=‘DZPŽ‘ +Ž6Ïc‘‰ffŽ‘®planeŽ‘+ ±:ÏnormalŽ‘ V¸«))‘·fŽ¡‘ÂifŽ‘+íÌ«(Ïverb‘ÿ}'oseŽ‘$Eq·_‘´ÝDEBUGŽ‘zm«)‘Ïc‘ÿ}'outŽ‘ÔR·‘{Ý"CirclesÈ ÝareÈ Ýnon-copŽ‘ozßlanar.È Ý"Ž’ |J·Ž¡‘<Ý"CallingÈ ÝEllipse::inŽ’¤ÿÊtersection_points()\Ž’ ÿŽn\n"Ž’&M·‘ÇÏ ushŽ‘€«;Ž¡‘Ïbp‘ÿ}'qŽ‘/ù7«=‘ÇÂEllipseŽ‘%¯õ«::Ž‘,>3Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘}Ë«(±cŽ‘SÛ;‘ª¨Ïverb‘ÿ}'oseŽ‘"<«);Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"ExitingÈ ÝCircle::intŽ‘kÆÜersection_points(conŽ’ÔÆ stÈ ÝCircle&)"Ž’ü·‘ÇÏend‘‚ØlŽ–ò·‘ÇÏend‘‚ØlŽ“·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½Ïbp‘ÿ}'qŽ‘QÙ«;Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘ÂifŽ‘)´û«(Ïverb‘ÿ}'oseŽ‘"Ê=·_‘8àÝDEBUGŽ‘ÿ9«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"CirclesÈ ÝareÈ ÝcoplanaŽ‘kÆÜr.\n"Ž’†5«;ަ‘ÂrealŽ‘4³1ÏdistŽ‘H†¶«=‘Ç(±cŽ‘SÛ:Ïc‘ÿ}'enterŽ–Bk·‘8àÏc‘ÿ}'enterŽ“«)±:ÏmagnitudeŽ‘.=r«(‘ª¨);ަ‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"distÈ Ý==È Ý"Ž‘:”z·‘ÇÏdistŽ‘š·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ÂifŽ‘)´û«(ÏdistޑӅ·‘Ç«0Ž‘Ç)‘·fŽ¡‘(ÂifŽ‘3´ü«(Ïverb‘ÿ}'oseŽ‘"Ê=·_‘8àÝDEBUGŽ‘ÿ9«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"CirclesÈ ÝhaveÈ ÝsameÈ ÝcŽ‘kÆÜenter.\n"Ž’›)«;Ž¡‘(ÂifŽ‘3´ü«(Ïr‘ÿ}'adiusŽ‘;·‘DZcŽ‘ó:Ïr‘ÿ}'adiusŽ‘È#«)‘·fŽ¡‘2ÂifŽ‘=´ý«(Ïverb‘ÿ}'oseŽ‘"Ê=·_‘8àÝDEBUGŽ‘ÿ9«)‘·fŽ¡‘<Ïc‘ÿ}'outŽ‘Rnâ·‘¥Ý"CirclesÈ ÝareÈ ÝcongrueŽ‘lint.È Ý"Ž’‰ñg·‘¥Ý"ReturningÈ ÝINVALID_BŽ‘liOOL_POINT_QUADRUPLE.Ž’Õ-\ŽŽ¡‘P\n\n"Ž‘my·‘ÇÏ ushŽ‘€«;Ž¡‘2·gŽ¡‘2ÂifŽ‘>/T«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ì5·‘’þÝ"\nExitingÈ ÝCircle::iŽ‘l’Ântersection_points(cŽ’Õ’†onstÈ ÝCircle&)."Ž’(k¿·Ž¡‘PÏend‘‚ØlŽ‘f¸â·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2ÂreturnŽ‘Uæ¿ÝINVALID_BOOL_POINT_QUADRUPLEŽ’élÓ«;Ž¡‘(·gŽ¡‘(ÂelseŽ‘>.8ifŽ‘Iã0«(Ïr‘ÿ}'adiusŽ‘;±>‘ÇcŽ‘ó:Ïr‘ÿ}'adiusŽ‘È#«)‘·fŽ¡‘2ÂifŽ‘=´ý«(Ïverb‘ÿ}'oseŽ‘"Ê=·_‘8àÝDEBUGŽ‘ÿ9«)‘·fŽ¡‘<Ïc‘ÿ}'outŽ‘R¦ä·‘M§Ý"*thisÈ ÝandÈ ÝcÈ ÝlieÈ ÝoutŽ‘lMksideÈ ÝofÈ ÝeachÈ Ýother.È Ž’ÕM/ÝNoÈ Ýintersections."Ž’7¡·‘M§Ïend‘‚ØlŽ‘·Ž¡‘PÝ"ReturningÈ ÝINVALID_BŽ’¸ÿÌOOL_POINT_QUADRUPLE.Ž’!ÿ\n\n"Ž’?·‘ÇÏ ushŽ‘€«;Ž¡‘2·gŽ¡‘2ÂifŽ‘>/T«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ì5·‘’þÝ"\nExitingÈ ÝCircle::iŽ‘l’Ântersection_points(cŽ’Õ’†onstÈ ÝCircle&)."Ž’(k¿·Ž¡‘PÏend‘‚ØlŽ‘f¸â·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2ÂreturnŽ‘Uæ¿ÝINVALID_BOOL_POINT_QUADRUPLEŽ’élÓ«;Ž¡‘(·gŽ¡‘(ÂelseŽ‘>.8ifŽ‘Iã0«(Ïr‘ÿ}'adiusŽ‘;±<‘ÇcŽ‘ó:Ïr‘ÿ}'adiusŽ‘È#«)‘·fŽ¡‘2ÂifŽ‘=´ý«(Ïverb‘ÿ}'oseŽ‘"Ê=·_‘8àÝDEBUGŽ‘ÿ9«)‘·fŽ¡‘<Ïc‘ÿ}'outŽ‘Tôì·‘›¯Ý"*thisÈ ÝliesÈ ÝinsideÈ ÝcŽ‘n›s.È ÝNoÈ Ýintersections."Ž’Ý½N·‘›¯Ïend‘‚ØlŽ‘) ·Ž¡‘PÝ"ReturningÈ ÝINVALID_BŽ’¸ÿÌOOL_POINT_QUADRUPLE.Ž’!ÿ\n\n"Ž’?·‘ÇÏ ushŽ‘€«;Ž¡‘2·gŽ¡‘2ÂifŽ‘>/T«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ì5·‘’þÝ"\nExitingÈ ÝCircle::iŽ‘l’Ântersection_points(cŽ’Õ’†onstÈ ÝCircle&)."Ž’(k¿·Ž¡‘PÏend‘‚ØlŽ‘f¸â·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2ÂreturnŽ‘Uæ¿ÝINVALID_BOOL_POINT_QUADRUPLEŽ’élÓ«;ŽŽŽŒ‹tF‡ Šn ý‘ì«372›ÂCIR®9CLE‘ÕX­AR•ÃŽGUMENT’û±)3DLDFPR“G˜·x«1268Ž €n ý•@P‘(·gޤ ‘(ÂelseŽ‘?Øã·fŽ¡‘2Ïc‘ÿ}'errŽ‘GÜ«·‘'Ý"ERROR!È ÝInÈ Ý"Ž‘EÔD·‘'Ý"|Circle::intersectiŽ‘l&Äon_points(constÈ ÝCircŽ’Õ&ˆle&)|"Ž’øSÞ·‘'Ïend‘‚ØlŽ‘?·Ž¡‘FÝ"ThisÈ Ýcan'tÈ Ýhappen!"Ž’²Ç‹·‘AXÝ"radiusÈ Ýand/orÈ Ýc.radŽ‘lAiusÈ ÝhaveÈ ÝinvalidÈ ÝvalŽ’Õ@àues:\n"Ž’ýÈ‹·Ž¡‘FÝ"radiusÈ Ý=È Ý"Ž’„¾ì·‘xžÏr‘ÿ}'adiusŽ‘$¹_·‘xžÏend‘‚ØlŽ–âþ·‘xžÝ"c.radiusÈ Ý=È Ý"Ž‘M·}·‘xž±cŽ‘Ìy:Ïr‘ÿ}'adiusŽ‘ @Á·‘xžÏend‘‚ØlŽ“·Ž¡‘FÝ"ReturningÈ ÝINVALID_BŽ’®ÿËOOL_POINT_QUADRUPLE.Ž’ÿ\n\n"Ž’5·‘ÇÏ ushŽ‘€«;Ž¡‘2ÂifŽ‘>/T«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ì5·‘’þÝ"\nExitingÈ ÝCircle::iŽ‘l’Ântersection_points(cŽ’Õ’†onstÈ ÝCircle&)."Ž’(k¿·Ž¡‘PÏend‘‚ØlŽ‘f¸â·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2ÂreturnŽ‘Uæ¿ÝINVALID_BOOL_POINT_QUADRUPLEŽ’élÓ«;Ž¡‘(·gŽ¡‘g‘±=·‘ÿýÂifŽ‘´õ«(ÏdistޑӅ·‘Ç«0Ž‘Ç)‘ÿý·±=Ž¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(ÏdistޑӅ±>‘Ç«(Ïr‘ÿ}'adiusŽ‘«+‘8à±cŽ‘Œ»:Ïr‘ÿ}'adiusŽ‘È#«))‘·fŽ¡‘(ÂifŽ‘3´ü«(Ïverb‘ÿ}'oseŽ‘"Ê=·_‘8àÝDEBUGŽ‘ÿ9«)Ž¡‘2Ïc‘ÿ}'outŽ‘HÛu·‘‚9Ý"*thisÈ ÝandÈ ÝcÈ ÝlieÈ ÝoutŽ‘lýsideÈ ÝofÈ ÝeachÈ Ýother.È Ž’ÕÁÝ"Ž’ÞÊ_·‘‚9Ý"NoÈ Ýintersections.\nŽ‘lý"Ž‘uÊ›·Ž¡‘FÝ"ReturningÈ ÝINVALID_BŽ’®ÿËOOL_POINT_QUADRUPLE.Ž’ÿ\n\n"Ž’5·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂifŽ‘3ËK«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘E|·‘ìEÝ"\nExitingÈ ÝCircle::iŽ‘kì ntersection_points(cŽ’ÔëÍonstÈ ÝCircle&)."Ž’'M·‘ìEÏend‘‚ØlŽ‘ÊL·Ž¡‘FÏend‘‚ØlŽ‘\¸á·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾ÝINVALID_BOOL_POINT_QUADRUPLEŽ’ßlÒ«;Ž¡‘·gŽ¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(ÏdistޑӅ·‘Ç«(Ïr‘ÿ}'adiusŽ‘«+‘8à±cŽ‘Œ»:Ïr‘ÿ}'adiusŽ‘È#«))‘·fŽ¡‘(ÂifŽ‘4œa«(Ïverb‘ÿ}'oseŽ‘#d€·_‘Ó#ÝDEBUGŽ‘™|«)‘Ïc‘ÿ}'outŽ‘¡ö·‘H¿Ý"thisÈ ÝandÈ ÝcÈ ÝhaveÈ ÝaÈ ÝtŽ‘mHƒangentÈ ÝonÈ ÝtheÈ ÝoutsidŽ’ÖHGeÈ Ý"Ž’ê×e·Ž¡‘FÝ"(oneÈ ÝintersectionÈ ÝpŽ’®ÿËoint).\n"Ž’ÞÆ«;Ž¡‘(Ïbp‘ÿ}'qŽ‘72 ±:Ï rstŽ‘µª±:ÏptŽ‘ ä±:ÏsetŽ‘ x„«(±cŽ‘SÛ:Ïc‘ÿ}'enterŽ–Bk·‘8àÏc‘ÿ}'enterŽ“«);Ž¡‘(Ïbp‘ÿ}'qŽ‘72 ±:Ï rstŽ‘µª±:ÏptŽ‘ ä±:Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘0•u«(Ïtrueޑƫ);Ž¡‘(Ïbp‘ÿ}'qŽ‘72 ±:Ï rstŽ‘µª±:ÏptŽ‘ «µ·«=ŽŽ‘9ìÏr‘ÿ}'adiusŽ‘8«;Ž¡‘(Ïbp‘ÿ}'qŽ‘72 ±:Ï rstŽ‘µª±:ÏptŽ‘ ä±:ÏshiftŽ‘}«(Ïc‘ÿ}'enterŽ‘ ‹«);Ž¡‘(Ïbp‘ÿ}'qŽ‘72 ±:Ï rstŽ‘µª±:bŽ‘«=‘ÇÏtrueŽ‘‹°«;Ž¡‘(ÂifŽ‘3ËK«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘E|·‘ìEÝ"\nExitingÈ ÝCircle::iŽ‘kì ntersection_points(cŽ’ÔëÍonstÈ ÝCircle&)."Ž’'M·‘ìEÏend‘‚ØlŽ‘ÊL·Ž¡‘FÏend‘‚ØlŽ‘\¸á·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾Ïbp‘ÿ}'qŽ‘[Ú«;Ž¡‘·gŽ¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(ÏdistޑӅ·‘ÇÏmaxŽ‘k³«(Ïr‘ÿ}'adiusŽ–È#±;‘ª¨cŽ›þƒ:Ïr‘ÿ}'adiusŽ“«)–8à·“ÏminŽ‘]õ«(Ïr‘ÿ}'adiusŽ–È#±;‘ª¨cŽ˜:Ïr‘ÿ}'adiusŽ“«))‘·fŽ¡‘(ÂifŽ‘4œa«(Ïverb‘ÿ}'oseŽ‘#d€·_‘Ó#ÝDEBUGŽ‘™|«)‘Ïc‘ÿ}'outŽ‘¡ö·‘H¿Ý"*thisÈ ÝandÈ ÝcÈ ÝhaveÈ ÝaÈ Ž‘mHƒÝtangentÈ ÝonÈ ÝtheÈ ÝinsidŽ’ÖHGeÈ Ý"Ž’ê×e·Ž¡‘FÝ"(oneÈ ÝintersectionÈ ÝpŽ’®ÿËoint).\n"Ž’ÞÆ«;Ž¡‘(ÂifŽ‘3´ü«(Ïr‘ÿ}'adiusŽ‘;±>‘ÇcŽ‘ó:Ïr‘ÿ}'adiusŽ‘È#«)‘·fŽ¡‘2ÂifŽ‘=´ý«(Ïverb‘ÿ}'oseŽ‘"Ê=·_‘8àÝDEBUGŽ‘ÿ9«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"cÈ ÝliesÈ ÝwithinÈ Ý*thisŽ‘kÆÜ.\n"Ž’M8«;Ž¡‘2Ïbp‘ÿ}'qŽ‘A2!±:Ï rstŽ‘µª±:ÏptŽ‘ ä±:ÏsetŽ‘ x„«(±cŽ‘SÛ:Ïc‘ÿ}'enterŽ–Bk·‘8àÏc‘ÿ}'enterŽ“«);Ž¡‘(·gŽ¡‘(ÂelseŽ‘?Øã·fŽ¡‘2ÂifŽ‘=´ý«(Ïverb‘ÿ}'oseŽ‘"Ê=·_‘8àÝDEBUGŽ‘ÿ9«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"*thisÈ ÝliesÈ ÝwithinÈ ÝcŽ‘kÆÜ.\n"Ž’M8«;Ž¡‘2Ïbp‘ÿ}'qŽ‘A2!±:Ï rstŽ‘µª±:ÏptŽ‘ ä±:ÏsetŽ‘ x„«(Ïc‘ÿ}'enterŽ‘Bk·‘8à±cŽ‘Œ»:Ïc‘ÿ}'enterŽ‘ ‹«);Ž¡‘(·gŽ¡‘(Ïbp‘ÿ}'qŽ‘72 ±:Ï rstŽ‘µª±:ÏptŽ‘ ä±:Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘0•u«(Ïtrueޑƫ);Ž¡‘(Ïbp‘ÿ}'qŽ‘72 ±:Ï rstŽ‘µª±:ÏptŽ‘ «µ·«=ŽŽ‘9ìÏr‘ÿ}'adiusŽ‘8«;Ž¡‘(Ïbp‘ÿ}'qŽ‘72 ±:Ï rstŽ‘µª±:ÏptŽ‘ ä±:ÏshiftŽ‘}«(Ïc‘ÿ}'enterŽ‘ ‹«);Ž¡‘(Ïbp‘ÿ}'qŽ‘72 ±:Ï rstŽ‘µª±:bŽ‘«=‘ÇÏtrueŽ‘‹°«;Ž¡‘(ÂifŽ‘3ËK«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘E|·‘ìEÝ"\nExitingÈ ÝCircle::iŽ‘kì ntersection_points(cŽ’ÔëÍonstÈ ÝCircle&)."Ž’'M·‘ìEÏend‘‚ØlŽ‘ÊL·Ž¡‘FÏend‘‚ØlŽ‘\¸á·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾Ïbp‘ÿ}'qŽ‘[Ú«;Ž¡‘·gŽ¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(ÏdistޑӅ±<‘Ç«(Ïr‘ÿ}'adiusŽ‘«+‘8à±cŽ‘Œ»:Ïr‘ÿ}'adiusŽ‘È#«))‘·fŽ¡‘(ÂifŽ‘3´ü«(ÏdistޑӅ±>‘ÇÏmaxŽ‘k³«(Ïr‘ÿ}'adiusŽ–È#±;‘ª¨cŽ›þƒ:Ïr‘ÿ}'adiusŽ“«)–8à·“ÏminŽ‘]õ«(Ïr‘ÿ}'adiusŽ–È#±;‘ª¨cŽ˜:Ïr‘ÿ}'adiusŽ“«))‘·fŽŽŽŒ‹uWÿ Šn ý‘ì·x«1268›­3DLDFPR•ÃŽG’û±)ÂCIR®9CLE‘ÕX­AR“GUMENT˜«373Ž €n ý•@P‘2ÂifŽ‘=´ý«(Ïverb‘ÿ}'oseŽ‘"Ê=·_‘8àÝDEBUGŽ‘ÿ9«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"tÈ ÝandÈ ÝcÈ ÝhaveÈ Ý2È ÝinteŽ‘kÆÜrsections.\n"Ž’°«;Ž©‘2ÂrealŽ‘H³3±aŽ‘PÃ{«=‘ÇÏr‘ÿ}'adiusŽ‘;«;ޤ ‘2ÂrealŽ‘H³3ÏbbŽ‘UÑë«=‘DZcŽ‘ó:Ïr‘ÿ}'adiusŽ‘·‘8à±cŽ‘Œ»:Ïr‘ÿ}'adiusŽ‘È#«;Ž¡‘2ÂrealŽ‘H³3Ïb‘ÿ}'etaŽ‘]àÈ«=‘Ç2Ž‘ ÿù·‘8àÏatanŽ‘ªÀ«(ÏsqrtŽ‘¯ù«((ÏbbŽ‘ €·–8à«((ÏdistŽ›EM·“±aŽ‘‚«)“·“«(ÏdistŽ˜·“±aŽ‘‚«)))±=«(((ÏdistŽ˜«+“±aŽ‘‚«)“·“«(ÏdistŽ˜«+“±aŽ‘‚«))“·“ÏbbŽ‘ €«)));ަ‘2Ïb‘ÿ}'etaŽ‘G-š·«=ŽŽ‘V»Ñ180ŽŽ‘e»Ô±=ÝPIŽ‘ b«;Ž¡‘2ÂifŽ‘=´ý«(Ïverb‘ÿ}'oseŽ‘"Ê=·_‘8àÝDEBUGŽ‘ÿ9«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"betaÈ Ý==È Ý"Ž‘:”z·‘ÇÏb‘ÿ}'etaŽ‘ô­·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;ަ‘2ÂP•®9oin“tŽ‘PPŽ‘X¾¿«(±cŽ‘SÛ:Ïc‘ÿ}'enterŽ–Bk·‘8àÏc‘ÿ}'enterŽ“«);ަ‘2±PŽ‘9Ï":Ïunit‘‰ffŽ‘®ve‘ÿ}'ctorŽ‘0•u«(Ïtrueޑƫ);Ž¡‘2±PŽ‘<–:·«=ŽŽ‘L$qÏr‘ÿ}'adiusŽ‘g씫;Ž¡‘2±PŽ‘9Ï":ÏshiftŽ‘}«(Ïc‘ÿ}'enterŽ‘ ‹«);ަ‘2ÂP•®9oin“tŽ‘Pï¢ÏnormalŽ‘t r«=‘ÇÏget‘‰ffŽ‘®normalŽ‘3QŒ«(‘ª¨);ަ‘2ÏnormalŽ‘RV½±:ÏshiftŽ‘}«(Ïc‘ÿ}'enterŽ‘ ‹«);Ž¡‘2ÂifŽ‘=´ý«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘<±PŽ‘CÏ#:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"P"Ž‘F_«);Ž¡‘<±PŽ‘CÏ#:ÏshowŽ‘Šÿ«(Ý"P"Ž‘F_«);Ž¡‘<ÏnormalŽ‘\V¾±:ÏshowŽ‘Šÿ«(Ý"normal"Ž‘*†P«);Ž¡‘2·gŽ¡‘2Ïbp‘ÿ}'qŽ‘A2!±:Ï rstŽ‘µª±:bŽ‘«=‘ÇÏtrueŽ‘‹°«;Ž¡‘2Ïbp‘ÿ}'qŽ‘A2!±:Ï rstŽ‘µª±:ÏptŽ‘ «µ«=‘DZPŽ‘ –5«;Ž¡‘2Ïbp‘ÿ}'qŽ‘A2!±:Ï rstŽ‘µª±:ÏptŽ‘ ä±:Ïr‘ÿ}'otateŽ‘o>«(Ïc‘ÿ}'enterŽ‘ ‹±;‘ª¨ÏnormalŽ‘"`±;‘ª¨Ïb‘ÿ}'etaŽ‘%«);Ž¡‘2ÂifŽ‘=´ý«(ÝDEBUGŽ‘ÆY«)‘Ïbp‘ÿ}'qŽ‘2±:Ï rstŽ‘µª±:ÏptŽ‘ ä±:ÏshowŽ‘Šÿ«(Ý"bpq.first.pt"Ž‘J>«);Ž¡‘2Ïbp‘ÿ}'qŽ‘A2!±:Ïse–ÿ}'c“ondŽ‘§Ç±:bŽ‘«=‘ÇÏtrueŽ‘‹°«;Ž¡‘2Ïbp‘ÿ}'qŽ‘A2!±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ «µ«=‘DZPŽ‘ -–5«;Ž¡‘2Ïbp‘ÿ}'qŽ‘A2!±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ ä±:Ïr‘ÿ}'otateŽ‘o>«(Ïc‘ÿ}'enterŽ‘ ‹±;‘ª¨ÏnormalŽ‘"`±;‘ª¨·Ž‘ qÆÏb‘ÿ}'etaŽ‘ØC«);Ž¡‘2ÂifŽ‘=´ý«(ÝDEBUGŽ‘ÆY«)‘Ïbp‘ÿ}'qŽ‘2±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ ä±:ÏshowŽ‘Šÿ«(Ý"bpq.second.pt"Ž‘OF;«);Ž¡‘2ÂifŽ‘>/T«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ì5·‘’þÝ"\nExitingÈ ÝCircle::iŽ‘l’Ântersection_points(cŽ’Õ’†onstÈ ÝCircle&)."Ž’(k¿·Ž¡‘PÏend‘‚ØlŽ‘f¸â·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2ÂreturnŽ‘Uæ¿Ïbp‘ÿ}'qŽ‘eÛ«;Ž¡‘(·gŽ¡‘(ÂelseŽ‘>.8ifŽ‘Iã0«(Ïr‘ÿ}'adiusŽ‘;±>‘ÇcŽ‘ó:Ïr‘ÿ}'adiusŽ‘È#«)‘·fŽ¡‘2ÂifŽ‘=´ý«(Ïverb‘ÿ}'oseŽ‘"Ê=·_‘8àÝDEBUGŽ‘ÿ9«)Ž¡‘<Ïc‘ÿ}'outŽ‘R[w·‘:Ý"cÈ ÝliesÈ ÝwithinÈ Ý*thisŽ‘lþ,È ÝdifferentÈ ÝcentersÈ Ž’ÕÂÝ"Ž’ÝÊa·‘:Ý"(noÈ Ýintersections).Ž‘lþ\n"Ž‘J—·Ž¡‘PÝ"ReturningÈ ÝINVALID_BŽ’¸ÿÌOOL_POINT_QUADRUPLE.Ž’!ÿ\n"Ž’2Eï«;Ž¡‘2ÂifŽ‘>/T«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ì5·‘’þÝ"\nExitingÈ ÝCircle::iŽ‘l’Ântersection_points(cŽ’Õ’†onstÈ ÝCircle&)."Ž’(k¿·Ž¡‘PÏend‘‚ØlŽ‘f¸â·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2ÂreturnŽ‘Uæ¿ÝINVALID_BOOL_POINT_QUADRUPLEŽ’élÓ«;Ž¡‘(·gŽ¡‘(ÂelseŽ‘?Øã·fŽ¡‘2ÂifŽ‘=´ý«(Ïverb‘ÿ}'oseŽ‘"Ê=·_‘8àÝDEBUGŽ‘ÿ9«)Ž¡‘<Ïc‘ÿ}'outŽ‘R[w·‘:Ý"*thisÈ ÝliesÈ ÝwithinÈ ÝcŽ‘lþ,È ÝdifferentÈ ÝcentersÈ Ž’ÕÂÝ"Ž’ÝÊa·‘:Ý"(noÈ Ýintersections).Ž‘lþ\n"Ž‘J—·Ž¡‘PÝ"ReturningÈ ÝINVALID_BŽ’¸ÿÌOOL_POINT_QUADRUPLE.Ž’!ÿ\n"Ž’2Eï«;Ž¡‘2ÂifŽ‘>/T«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ì5·‘’þÝ"\nExitingÈ ÝCircle::iŽ‘l’Ântersection_points(cŽ’Õ’†onstÈ ÝCircle&)."Ž’(k¿·Ž¡‘PÏend‘‚ØlŽ‘f¸â·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2ÂreturnŽ‘Uæ¿ÝINVALID_BOOL_POINT_QUADRUPLEŽ’élÓ«;Ž¡‘(·gŽ¡‘g‘±=·‘ÿýÂelseŽ‘.1ifŽ‘&ã)«(ÏdistޑӅ±<‘Ç«(Ïr‘ÿ}'adiusŽ‘«+‘8à±cŽ‘Œ»:Ïr‘ÿ}'adiusŽ‘È#«))‘ÿý·±=Ž¡‘ÂelseŽ‘5Øâ·fŽ¡‘(Ïc‘ÿ}'errŽ‘?â·‘,mÝ"ERROR!È ÝInÈ ÝCircle::iŽ‘n,1ntersection_points(cŽ’×+õonstÈ ÝCircle&):"Ž’+ž·Ž¡‘<Ý"ThisÈ Ýcan'tÈ Ýhappen!\Ž’¤ÿÊnThisÈ ÝcaseÈ Ýisn'tÈ ÝaccŽ’ ÿŽountedÈ Ýfor.\n"Ž’]Úe·Ž¡‘<Ý"ReturningÈ ÝINVALID_BŽ’¤ÿÊOOL_POINT_QUADRUPLE.Ž’ ÿŽ"Ž’ ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;ŽŽŽŒ‹rm÷ Šn ý‘ì«370›ÂCIR®9CLE‘ÕX­AR•ÃŽGUMENT’û±)3DLDFPR“G˜·x«1263Ž €n ý•@P‘(ÂifŽ‘3ËK«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘E|·‘ìEÝ"\nExitingÈ ÝCircle::iŽ‘kì ntersection_points(cŽ’ÔëÍonstÈ ÝCircle&)."Ž’'M·‘ìEÏend‘‚ØlŽ‘ÊL·ޤ ‘FÏend‘‚ØlŽ‘\¸á·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾ÝINVALID_BOOL_POINT_QUADRUPLEŽ’ßlÒ«;Ž¡‘·gŽ¡‘g‘±=·‘ÿýÂelseŽ‘.1«(Coplanar‘UUcase).‘o·±=Ž¡‘ -·gŽ©Â1264.– üReg‘°¡‰ffs4Ž‘#ÕP®9olygon‘Áfunctions.“«[¬LDF‘T2003.06.13.«]Ž‘ZÀ‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.06.13.«]Ž‘Y;Added–UUthis“section.ŽŸŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦1265.‘ üEnclosed‘ÕTcircle.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.06.13.«]Ž‘Y;Added–UUthis“function.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘H)^«functions‘@­1024“·i‘Ç«+·ޤ ‘ +–5«;Ž¡‘2Ïbp‘ÿ}'qŽ‘A2!±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ ä±:Ïr‘ÿ}'otateŽ‘o>«(Ïc‘ÿ}'enterŽ‘ ‹±;‘ª¨ÏnormalŽ‘"`±;‘ª¨·Ž‘ qÆÏb‘ÿ}'etaŽ‘ØC«);Ž¡‘2ÂifŽ‘=´ý«(ÝDEBUGŽ‘ÆY«)‘Ïbp‘ÿ}'qŽ‘2±:Ïse–ÿ}'c“ondŽ‘§Ç±:ÏptŽ‘ ä±:ÏshowŽ‘Šÿ«(Ý"bpq.second.pt"Ž‘OF;«);Ž¡‘2ÂifŽ‘>/T«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ì5·‘’þÝ"\nExitingÈ ÝCircle::iŽ‘l’Ântersection_points(cŽ’Õ’†onstÈ ÝCircle&)."Ž’(k¿·Ž¡‘PÏend‘‚ØlŽ‘f¸â·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2ÂreturnŽ‘Uæ¿Ïbp‘ÿ}'qŽ‘eÛ«;Ž¡‘(·gŽ¡‘(ÂelseŽ‘>.8ifŽ‘Iã0«(Ïr‘ÿ}'adiusŽ‘;±>‘ÇcŽ‘ó:Ïr‘ÿ}'adiusŽ‘È#«)‘·fŽ¡‘2ÂifŽ‘=´ý«(Ïverb‘ÿ}'oseŽ‘"Ê=·_‘8àÝDEBUGŽ‘ÿ9«)Ž¡‘<Ïc‘ÿ}'outŽ‘R[w·‘:Ý"cÈ ÝliesÈ ÝwithinÈ Ý*thisŽ‘lþ,È ÝdifferentÈ ÝcentersÈ Ž’ÕÂÝ"Ž’ÝÊa·‘:Ý"(noÈ Ýintersections).Ž‘lþ\n"Ž‘J—·Ž¡‘PÝ"ReturningÈ ÝINVALID_BŽ’¸ÿÌOOL_POINT_QUADRUPLE.Ž’!ÿ\n"Ž’2Eï«;Ž¡‘2ÂifŽ‘>/T«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ì5·‘’þÝ"\nExitingÈ ÝCircle::iŽ‘l’Ântersection_points(cŽ’Õ’†onstÈ ÝCircle&)."Ž’(k¿·Ž¡‘PÏend‘‚ØlŽ‘f¸â·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2ÂreturnŽ‘Uæ¿ÝINVALID_BOOL_POINT_QUADRUPLEŽ’élÓ«;Ž¡‘(·gŽ¡‘(ÂelseŽ‘?Øã·fŽ¡‘2ÂifŽ‘=´ý«(Ïverb‘ÿ}'oseŽ‘"Ê=·_‘8àÝDEBUGŽ‘ÿ9«)Ž¡‘<Ïc‘ÿ}'outŽ‘R[w·‘:Ý"*thisÈ ÝliesÈ ÝwithinÈ ÝcŽ‘lþ,È ÝdifferentÈ ÝcentersÈ Ž’ÕÂÝ"Ž’ÝÊa·‘:Ý"(noÈ Ýintersections).Ž‘lþ\n"Ž‘J—·Ž¡‘PÝ"ReturningÈ ÝINVALID_BŽ’¸ÿÌOOL_POINT_QUADRUPLE.Ž’!ÿ\n"Ž’2Eï«;Ž¡‘2ÂifŽ‘>/T«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ì5·‘’þÝ"\nExitingÈ ÝCircle::iŽ‘l’Ântersection_points(cŽ’Õ’†onstÈ ÝCircle&)."Ž’(k¿·Ž¡‘PÏend‘‚ØlŽ‘f¸â·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2ÂreturnŽ‘Uæ¿ÝINVALID_BOOL_POINT_QUADRUPLEŽ’élÓ«;Ž¡‘(·gŽ¡‘g‘±=·‘ÿýÂelseŽ‘.1ifŽ‘&ã)«(ÏdistޑӅ±<‘Ç«(Ïr‘ÿ}'adiusŽ‘«+‘8à±cŽ‘Œ»:Ïr‘ÿ}'adiusŽ‘È#«))‘ÿý·±=Ž¡‘ÂelseŽ‘5Øâ·fŽ¡‘(Ïc‘ÿ}'errŽ‘?â·‘,mÝ"ERROR!È ÝInÈ ÝCircle::iŽ‘n,1ntersection_points(cŽ’×+õonstÈ ÝCircle&):"Ž’+ž·Ž¡‘<Ý"ThisÈ Ýcan'tÈ Ýhappen!\Ž’¤ÿÊnThisÈ ÝcaseÈ Ýisn'tÈ ÝaccŽ’ ÿŽountedÈ Ýfor.\n"Ž’]Úe·Ž¡‘<Ý"ReturningÈ ÝINVALID_BŽ’¤ÿÊOOL_POINT_QUADRUPLE.Ž’ ÿŽ"Ž’ ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;ŽŽŽŒ‹viŸ Šn ý‘ì«374›ÂCIR®9CLE‘ÕX­AR•ÃŽGUMENT’û±)3DLDFPR“G˜·x«1268Ž €n ý•@P‘(ÂifŽ‘3ËK«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘E|·‘ìEÝ"\nExitingÈ ÝCircle::iŽ‘kì ntersection_points(cŽ’ÔëÍonstÈ ÝCircle&)."Ž’'M·‘ìEÏend‘‚ØlŽ‘ÊL·ޤ ‘FÏend‘‚ØlŽ‘\¸á·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾ÝINVALID_BOOL_POINT_QUADRUPLEŽ’ßlÒ«;Ž¡‘·gŽ¡‘g‘±=·‘ÿýÂelseŽ‘.1«(Coplanar‘UUcase).‘o·±=Ž¡‘ +·gŽ©Â1269.– üReg‘°¡‰ffs4Ž‘#ÕP®9olygon‘Áfunctions.“«[¬LDF‘T2003.06.13.«]Ž‘ZÀ«[1Ž“]);ަ‘Ïmid‘‰ffŽ‘®ptŽ‘4´Ê·«=ŽŽ‘G +·fŽ¡‘ÂCircleŽ‘5¸ƒ±cŽ‘: ^«;Ž©‘ÂifŽ‘´ú«(·:Ïis‘‰ffŽ‘®planarŽ‘(&«(‘ª¨))‘·fŽ¡‘Ïc‘ÿ}'errŽ‘3ÓK·‘¢Ý"ERROR!È ÝInÈ ÝReg_PolygŽ‘lfon::in_circle():\n"Ž’Ó7·‘¢Ý"Reg_PolygonÈ ÝisÈ Ýnon-Ž‘lfplanar.\n"Ž’¤AR·Ž¡‘2Ý"ReturningÈ ÝemptyÈ ÝCirŽ’šÿÉcle.\n\n"Ž’Í.·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½±cŽ‘F:˜«;Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(Ïp‘ÿ}'ointsŽ‘$•±:ÏsizeŽ‘\«(‘ª¨)–DZ<“«3Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘8K·‘•oÝ"ERROR!È ÝInÈ ÝReg_PolygŽ‘p•3on::in_circle():\n"Ž’ÜpÑ·Ž¡‘2Ý"Reg_PolygonÈ ÝhasÈ ÝlesŽ’šÿÉsÈ ÝthanÈ Ý3È ÝPoints.\n"Ž’ ·‘ÇÝ"ReturningÈ ÝemptyÈ ÝCirŽ‘kÆÜcle.\n\n"Ž’žTA·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½±cŽ‘F:˜«;Ž¡‘·gަ‘ÂP•®9oin“tŽ‘2ïŸÏmid‘‰ffŽ‘®ptŽ‘S¤g«=‘ÇÏp‘ÿ}'ointsŽ‘ë­«[0Ž–]‘þŸ±~ŽŽ‘Ïme‘ÿ}'diateŽ‘&½v«(·Ž“Ïp‘ÿ}'ointsŽ‘ $–«[1Ž“]);ަ‘Ïmid‘‰ffŽ‘®ptŽ‘4´Ê·«=ŽŽ‘G Ïc‘ÿ}'enterŽ‘c©«;ަ‘ÂrealŽ‘*³0±rŽ‘2D\«=‘ÇÏmid‘‰ffŽ‘®ptŽ‘ ´È±:ÏmagnitudeŽ‘.=r«(‘ª¨);ަ‘±cŽ‘SÝ:ÏsetŽ‘ x„«(ÏoriginŽ‘ö!±;‘ª¨«2Ž‘㉷‘8à±rŽ‘ô«);ަ‘ÂP•®9oin“tŽ‘2ïŸÏnormalŽ‘V o«=‘ÇÏget‘‰ffŽ‘®normalŽ‘3QŒ«(‘ª¨);ަ‘ÏnormalŽ‘4Vº±:ÏshiftŽ‘}«(Ïc‘ÿ}'enterŽ‘ ‹«);ަ‘ÂT‘ÿ «ransformŽ‘KÈÔ±tŽ‘OeF«;ަ‘±tŽ‘œt:Ïalign‘‰ffŽ–®with‘‰ffŽ“axisŽ‘@²x«(Ïc‘ÿ}'enterŽ‘ ‹±;‘ª¨ÏnormalŽ‘"`±;‘ª¨Ý'y'Ž‘ñ«);Ž¡‘±cŽ‘õ·«=ŽŽ‘*©,±tŽ‘.Ež:ÏinverseŽ‘ ‡«(‘ª¨);Ž¡‘ÂreturnŽ‘7æ¼±cŽ‘<:—«;Ž¡‘ -·gŽŸÂ1266.‘ üDra®9w–ÕTenclosed“circle.ŽŽŽŒ‹s~ Šn ý‘ì·x«1267–­3DLDFPRÃŽG’ 3NORMAL‘ÕXVERSION“«371Ž €n ý•@PÂ1267.‘ üNormal‘ÕTv®9ersion.Ž©·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘H)^«functions‘@­1024“·i‘Ç«+·ޤ ‘ +·gŽŸÂ1271.‘ üDra®9w–ÕTenclosed“circle.ŽŽŽŒ‹wy° Šn ý‘ì·x«1272–­3DLDFPRÃŽG’ 3NORMAL‘ÕXVERSION“«375Ž €n ý•@PÂ1272.‘ üNormal‘ÕTv®9ersion.Ž©·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘H)^«functions‘@­1027“·i‘Ç«+·ޤ ‘ ÂCircleŽ‘+§Regu½‰™šs4Ž‘ÔwP®9olygonŽ‘n&9«::‘Ïdr›ÿ}'aw‘‰ffŽ–®in‘‰ffŽ“cir˜cleŽ‘>Ô«(ÂconstŽ‘¡ColorŽ‘=­“«&Ž‘Et±Ïddr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘y}Z±;‘ª¨ÂconstŽ‘ÄIstringŽ‘@Ø•Ïddashe‘ÿ}'dŽ‘d¦±;‘ª¨ÂconstŽ‘ÄIstringŽŽ¡‘2Ïpp‘ÿ}'enŽ‘G6(±;‘ª¨ÂPictureŽ‘*œ «&Ž‘2c(Ïpictur‘ÿ}'eŽ‘Qkþ«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂCircleŽ‘5¸ƒ±cŽ‘<Óv«=‘ÇÏin‘‰ffŽ‘®cir‘ÿ}'cleŽ‘'‰a«(‘ª¨);ަ‘±cŽ‘SÝ:Ïdr‘ÿ}'awŽ‘(Û«(Ïddr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘4©±;‘ª¨Ïddashe‘ÿ}'dŽ‘$ñ¹±;‘ª¨Ïpp‘ÿ}'enŽ‘à˱;‘ª¨Ïpictur‘ÿ}'eŽ‘ ³~«);Ž¡‘ÂreturnŽ‘7æ¼±cŽ‘<:—«;Ž¡‘ -·gŽŸÂ1268.‘ üPicture–ÕTargumen®9t“ rst.ަ·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘H)^«functions‘@­1024“·i‘Ç«+·Ž¡‘ +·gŽŸÂ1273.‘ üPicture–ÕTargumen®9t“ rst.ަ·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘H)^«functions‘@­1027“·i‘Ç«+·Ž¡‘ ÂCircleŽ‘+þÃRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘n}{«::‘Ïdr›ÿ}'aw‘‰ffŽ–®in‘‰ffŽ“cir˜cleŽ‘>Ô«(ÂPictureŽ‘)7£«&Ž‘0þÁÏpictur‘ÿ}'eŽ‘P—±;‘ª¨ÂconstŽ‘ ‹ColorŽ‘@¿«&Ž‘GÍÝÏddr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘{Ö†±;‘ª¨ÂconstŽ‘ ‹stringŽŽ¡‘2Ïddashe‘ÿ}'dŽ‘UG±;‘ª¨ÂconstŽ‘ÕJstringŽ‘@ú—Ïpp‘ÿ}'enŽ‘V0º«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïdr›ÿ}'aw‘‰ffŽ–®in‘‰ffŽ“cir˜cleŽ‘t錫(Ïddr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘4©±;‘ª¨Ïddashe‘ÿ}'dŽ‘$ñ¹±;‘ª¨Ïpp‘ÿ}'enŽ‘à˱;‘ª¨Ïpictur‘ÿ}'eŽ‘ ³~«);Ž¡‘ -·gŽŸÂ1269.‘ üSurrounding‘ÕTcircle.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.06.13.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘H)^«functions‘@­1024“·i‘Ç«+·Ž¡‘ +·gŽŸÂ1274.‘ üSurrounding‘ÕTcircle.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.06.13.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘H)^«functions‘@­1027“·i‘Ç«+·Ž¡‘ ÂCircleŽ‘+¸‚Regu½‰™šs4Ž‘ÔwP®9olygonŽ‘n7:«::‘Ïout‘‰ffŽ‘®cir‘ÿ}'cleŽ‘*Þ¼«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂCircleŽ‘5¸ƒ±cŽ‘: ^«;ަ‘ÂifŽ‘´ú«(·:Ïis‘‰ffŽ‘®planarŽ‘(&«(‘ª¨))‘·fŽ¡‘Ïc‘ÿ}'errŽ‘3²ƒ·‘üÚÝ"ERROR!È ÝInÈ ÝReg_PolygŽ‘küžon::out_circle():\n"Ž’Ø¤·‘üÚÝ"Reg_PolygonÈ ÝisÈ Ýnon-Ž‘küžplanar.\n"Ž’£ÿ·Ž¡‘2Ý"ReturningÈ ÝemptyÈ ÝCirŽ’šÿÉcle.\n\n"Ž’Í.·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½±cŽ‘F:˜«;Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(Ïp‘ÿ}'ointsŽ‘$•±:ÏsizeŽ‘\«(‘ª¨)–DZ<“«3Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘8(¢·‘rùÝ"ERROR!È ÝInÈ ÝReg_PolygŽ‘pr½on::out_circle():\n"Ž’ákâ·Ž¡‘2Ý"Reg_PolygonÈ ÝhasÈ ÝlesŽ’šÿÉsÈ ÝthanÈ Ý3È ÝPoints.\n"Ž’ ·‘ÇÝ"ReturningÈ ÝemptyÈ ÝCirŽ‘kÆÜcle.\n\n"Ž’žTA·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½±cŽ‘F:˜«;Ž¡‘·gަ‘ÂP•®9oin“tŽ‘2ïŸÏnormalŽ‘V o«=‘ÇÏget‘‰ffŽ‘®normalŽ‘3QŒ«(‘ª¨);ަ‘ÏnormalŽ‘4Vº±:ÏshiftŽ‘}«(Ïc‘ÿ}'enterŽ‘ ‹«);Ž¡‘±cŽ‘SÝ:ÏsetŽ‘ x„«(ÏoriginŽ‘ö!±;‘ª¨«2Ž‘㉷‘8àÏr‘ÿ}'adiusŽ‘«);ަ‘ÂT‘ÿ «ransformŽ‘KÈÔ±tŽ‘OeF«;ަ‘±tŽ‘œt:Ïalign‘‰ffŽ–®with‘‰ffŽ“axisŽ‘@²x«(Ïc‘ÿ}'enterŽ‘ ‹±;‘ª¨ÏnormalŽ‘"`±;‘ª¨Ý'y'Ž‘ñ«);Ž¡‘±cŽ‘õ·«=ŽŽ‘*©,±tŽ‘.Ež:ÏinverseŽ‘ ‡«(‘ª¨);Ž¡‘ÂreturnŽ‘7æ¼±cŽ‘<:—«;Ž¡‘ -·gŽŸÂ1270.‘ üDra®9w–ÕTsurrounding“circle.ŽŽŽŒ‹t‰/ Šn ý‘ì«372–­NORMAL‘ÕXVERSION’ 33DLDFPRÃŽG“·x«1271Ž €n ý•@PÂ1271.‘ üNormal‘ÕTv®9ersion.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ© ‘ -«[¬LDF‘T2003.06.13.«]Ž‘Y;Added–UUthis“function.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘H)^«functions‘@­1024“·i‘Ç«+·ަ‘ +·gŽŸÂ1275.‘ üDra®9w–ÕTsurrounding“circle.ŽŽŽŒ‹x… Šn ý‘ì«376–­NORMAL‘ÕXVERSION’ 33DLDFPRÃŽG“·x«1276Ž €n ý•@PÂ1276.‘ üNormal‘ÕTv®9ersion.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ© ‘ +«[¬LDF‘T2003.06.13.«]Ž‘Y;Added–UUthis“function.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘H)^«functions‘@­1027“·i‘Ç«+·ަ‘ ÂCircleŽ‘,"ÿRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘n¡·«::‘Ïdr›ÿ}'aw‘‰ffŽ–®out‘‰ffŽ“cir˜cleŽ‘CC«(ÂconstŽ‘•ColorŽ‘>¤«&Ž‘Fk­Ïddr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘ztV±;‘ª¨ÂconstŽ‘ ?ÇstringŽ‘AÏ‘Ïddashe‘ÿ}'dŽ‘e¢±;‘ª¨ÂconstŽŽ¦‘2stringŽ‘S%RÏpp‘ÿ}'enŽ‘h[u±;‘ª¨ÂPictureŽ‘*œ «&Ž‘2c(Ïpictur‘ÿ}'eŽ‘Qkþ«)‘UUÂconstŽŽ¦‘ ·fަ‘ÂCircleŽ‘5¸ƒ±cŽ‘<Óv«=‘ÇÏout‘‰ffŽ‘®cir‘ÿ}'cleŽ‘,¥Ð«(‘ª¨);Ž¡‘±cŽ‘SÝ:Ïdr‘ÿ}'awŽ‘(Û«(Ïddr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘4©±;‘ª¨Ïddashe‘ÿ}'dŽ‘$ñ¹±;‘ª¨Ïpp‘ÿ}'enŽ‘à˱;‘ª¨Ïpictur‘ÿ}'eŽ‘ ³~«);ަ‘ÂreturnŽ‘7æ¼±cŽ‘<:—«;ަ‘ -·gŽŸÂ1272.‘ üPicture–ÕTargumen®9t“ rst.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ -«[¬LDF‘T2003.06.13.«]Ž‘Y;Added–UUthis“function.Ž¡ŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘H)^«functions‘@­1024“·i‘Ç«+·ަ‘ +·gŽŸÂ1277.‘ üPicture–ÕTargumen®9t“ rst.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¦‘ +«[¬LDF‘T2003.06.13.«]Ž‘Y;Added–UUthis“function.Ž¡ŸüÈ„`ÕÁGŽŽ¡·h–ª¨«De ne‘UUÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘H)^«functions‘@­1027“·i‘Ç«+·ަ‘ ÂCircleŽ‘+ê¢Regu½‰™šs4Ž‘ÔwP®9olygonŽ‘niZ«::‘Ïdr›ÿ}'aw‘‰ffŽ–®out‘‰ffŽ“cir˜cleŽ‘CC«(ÂPictureŽ‘)#‚«&Ž‘0ê Ïpictur‘ÿ}'eŽ‘Oóv±;‘ª¨ÂconstŽ‘ jColorŽ‘?Þ}«&Ž‘G¥›Ïddr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘{®D±;‘ª¨ÂconstŽ‘ jstringŽŽ¦‘2Ïddashe‘ÿ}'dŽ‘UG±;‘ª¨ÂconstŽ‘ÕJstringŽ‘@ú—Ïpp‘ÿ}'enŽ‘V0º«)‘UUÂconstŽŽ¦‘ 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le“thatŽ¡it–UUwrites.‘qÇOtherwise,“this“can“cause“problems“and“it's“not“ob¸ãvious“what's“caused“them.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +h–ª¨«De ne‘UUÂclassŽ‘5¦CircleŽ‘@ØÖ­1237“·iަ‘ +h–ª¨«De ne‘UUÂCircleŽ‘% Ö«functions‘@­1240“·iަ‘ +h–ª¨«De ne‘UUÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘H)^«functions‘@­1027“·iŽŽŽŒ‹y‘ Šn ý‘ì·x«1279›­3DLDFPRÃŽG’ÒWPUTTING–ÕXÂCIR®9CLE“­TOGETHER˜«377Ž €n ý•@PÂ1279.‘ ü«This–UUis“what's“written“to“Ècircles.h«.Ž©·h‘ª¨Ýcircles.hŽ‘:ðö­1279‘ª¨·i‘Çޤ ‘ +h–ª¨«De ne‘UUÂclassŽ‘5¦CircleŽ‘@ØÖ­1237“·iŽŸÂ1280.– üP®9atterns“(Èpatterns.webÂ).‘#f«[¬LDF‘T2002.09.21.«]Ž‘r  NOTE:–UUWhen“y¸ãou“add“a“new“È.web“« le“andŽ¡mo•¸ãv“e–‡coGde“to“it“bš¸ãy“cop˜ying“it“from“another“È.web“« le,‘Šremem˜bGer“to“c˜hange“the“name“of“the“header“ le“thatŽ¡it–UUwrites.‘qÇOtherwise,“this“can“cause“problems“and“it's“not“ob¸ãvious“what's“caused“them.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.09.21.«]Ž‘X"Started–ousing“this“ le“again.›% Mo•¸ãv“ed‘oÏhex‘‰ffŽ–®p‘ÿ}'attern‘‰ffŽ“1Ž‘=êu«(‘ª®)–ohere.˜Made“the“appropriate“c¸ãhangesŽ¡to–UUÈcmplprsp.web“«and“Èmain.web«.Ž¡‘ -[¬LDF‘T2003.11.12.«]Ž‘ZCáRemo•¸ãv“ed–ûthe“vš¸ãersion“con˜trol“iden˜ti ers“from“the“CWEB‘© les“for“the“distribution“ofŽ¡3DLDF–UU1.1.‘qÇThey're“still“used“in“mš¸ãy“dev˜elopmen˜t“v˜ersions.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h‘ª¨«V‘ÿ*ªersion–UUconš¸ãtrol“iden˜ti er‘@­10‘ª¨·i‘Ç«+·ŽŸÂ1276.‘ üInclude‘ÕT les.ަ·h–ª¨«Include‘UU les‘@­11“·i‘Ç«+·Ž¡«#ÂincludeŽ‘'Ø~Ý"loader.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"pspglb.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"io.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"colors.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"transfor.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"shapes.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"pictures.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"points.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"lines.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"planes.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"paths.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"curves.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"polygons.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"rectangs.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"ellipses.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"circles.h"ŽŽ¤Â1277.‘ üPlane‘ÕTtesselations.Ž¡1278.‘ üHexagonal–ÕTtesselation“1.ޤ ‘ -«[¬LDF‘T2003.08.10.«]Ž‘Y;TO–UUDO:“Change,“so“that“it's“pGossible“to“put“the“pattern“in¸ãto“a“rectangular“area.ŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.09.22.«]Ž‘X£×Added–ðñargumenš¸ãts.‘PQÏhex‘‰ffŽ–®p‘ÿ}'attern‘‰ffŽ“1Ž‘?ˬ«(‘ª®)“can“no˜w“bGe“used“to“mak˜e“a“pattern“with“up“to“threeŽ¡nested–(ühexagons“whicš¸ãh“can“bGe“dra˜wn“and“ lled.‘bÿEac˜h“hexagon“has“its“o˜wn“argumen˜t“for“the“dra˜w“color,‘1ÛtheŽ¡ ll–ëÔcolor“and“the“pšGen“to“b˜e“used.‘NœÏhex‘‰ffŽ–®p‘ÿ}'attern‘‰ffŽ“1Ž‘?É÷«(‘ª®)“do˜es“not“ha•¸ãv“e›ëÔargumen“ts˜for˜dash˜patterns,‘îbut˜they˜couldŽ¡bGe–zýadded,›„gif“necessary‘ÿ*ª.‘âÀIf“the“argumen¸ãt“for“the“diameter“of“the“middle“or“the“inner“hexagon“is“0,˜then“thatŽ¡hexagon–‰(is“not“draš¸ãwn“or“ lled.‘ @In“this“case,‘–the“argumen˜ts“for“the“dra˜w“and“ ll“colors“are“ignored“for“thatŽ¡hexagon.‘PqThe–ñQdefault“pšGen“for“the“outer“hexagon“is“thic•¸ãk“er–ñQthan“the“p˜ens“for“the“other“t•¸ãw“o–ñQ(.5mm“and“.3mm,Ž¡respGectiv¸ãely).Ž¡‘ -[¬LDF‘T2002.09.20.«]Ž‘Y3NRewrote–€hthis“function.‘òÿIt“noš¸ãw“w˜orks“with“the“new“Ïpr–ÿ}'oje“ctŽ‘!÷v«(›ª®)“function.‘òÿÏhex‘‰ffŽ–®p‘ÿ}'attern‘‰ffŽ“1Ž‘@nZ«(˜)Ž¡makš¸ães–í¯a“\honeycom˜b"“pattern“on“the“x-z“plane“using“a“single“hexagon“(i.e.,‘Æthere“aren't“nested“hexagonsŽ¡yš¸ãet,‘•äas–ˆûin“the“old“v˜ersion).‘ ¹In“the“next“v˜ersion,‘•äI‘ˆîplan“to“add“argumen˜ts“for“optionally“putting“t˜w˜o“smallerŽ¡hexagons–UUinside“the“large“one,“and“for“ lling“and“un lling.ŽŽŽŒ‹vž¼ Šn ý‘ì«374‘­HEXAšÃŽGONAL–ÕXTESSELA‘ÿJªTION“1’ß—;3DLDFPR˜G‘·x«1278Ž €n ý•@P‘ -This–5Övš¸ãersion“con˜tains“argumen˜ts“for“the“dra˜wing“command,‘­öincluding“a“ÂPictureŽ‘0¹«argumen˜t,‘­öso“thatŽ© Ïhex‘‰ffŽ–®p‘ÿ}'attern‘‰ffŽ“1Ž‘;{[«(‘ª®)–UUneed“not“bGe“put“on¸ãto“Ïcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘E{«.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h›ª¨«Declare–UUP¸ãattern“functions‘@­1278˜·i‘Çަ‘ -ÂunsignedŽ‘;_‚in®9tŽ‘N,ìÏhex‘‰ffŽ–®p‘ÿ}'attern‘‰ffŽ“1Ž’‰¨G«(ÂrealŽ‘Û¡Ïdiameter‘‰ffŽ‘®outerŽ‘^§§«=‘µ+5Ž– µ,±;‘ª¨ÂrealŽ‘†IÏdiameter‘‰ffŽ‘®midd‘‚ØleŽ‘fƒa«=‘µ+0Ž“±;‘ª¨ÂrealŽŽ¦‘Ïdiameter‘‰ffŽ‘®innerŽ‘c”ñ«=‘û:0Ž–û;±;‘ª¨ÂunsignedŽ‘2þshortŽ‘OêéÏ rst‘‰ffŽ‘®r‘ÿ}'owŽ‘xà™«=‘û:5Ž“±;‘ª¨ÂunsignedŽ‘2þshortŽ‘OêéÏdouble‘‰ffŽ‘®r‘ÿ}'owsŽ’†Î«=‘û:10ŽŽ‘ û<±;‘ª¨ÂunsignedŽŽ¦‘shortŽ‘;ʦÏr‘ÿ}'ow‘‰ffŽ‘®shiftŽ‘eÓR«=‘Ç2Ž‘Ç±;ަ‘ª°=·‘ÿý«Argumenš¸ãts–UUfor“the“dra˜wing“and“ lling“commands.‘o·±=ަ‘ -ÂColorŽ‘)¤ôÏdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜outerŽ‘u¤+«=‘Ç·Ž‘ÇÂColorsŽ‘)Ÿ÷«::Ž‘0.5Ïdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘gª±;‘ª©=·–ÿý«Outer“·±=ަ‘ -ÂColorŽ‘)`ZÏ l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“outerŽ‘l ­«=‘Ç·Ž‘ÇÂColorsŽ‘)Ÿ÷«::Ž‘0.5Ïb–ÿ}'ackgr“ound‘‰ffŽ‘®c“olorŽ‘zr±;‘ª¨ÂColorŽ‘! Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜midd‘‚ØleŽ‘s;J«=‘Ç·Ž‘ÇÂColorsŽ‘)Ÿ÷«::Ž‘0.5Ïdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘gª±;ަ‘=·–ÿý«Middle“·±=ަ‘ -ÂColorŽ‘)TuÏ l›‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“midd˜leŽ‘r0Ú«=‘Ç·Ž‘ÇÂColorsŽ‘)Ÿ÷«::Ž‘0.5Ïb–ÿ}'ackgr“ound‘‰ffŽ‘®c“olorŽ‘zr±;‘ª¨ÂColorŽ‘ ÿÏdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜innerŽ‘m,«=‘Ç·Ž‘ÇÂColorsŽ‘)Ÿ÷«::Ž‘0.5Ïdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘gª±;ަ‘=·–ÿý«Inner“·±=ަ‘ -ÂColorŽ‘)¤ôÏ l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“innerŽ‘lÓ «=‘Ç·Ž‘ÇÂColorsŽ‘)Ÿ÷«::Ž‘0.5Ïb–ÿ}'ackgr“ound‘‰ffŽ‘®c“olorŽ‘zr±;‘ª¨ÂstringŽ‘"ÏõÏp‘ÿ}'en‘‰ffŽ‘®outerŽ‘PKЫ=‘ÇÝ"pencircleÈ ÝscaledÈ Ý.5Ž‘kÆÜmm"Ž‘| ;±;ަ‘ÂstringŽ‘?%PÏp‘ÿ}'en‘‰ffŽ‘®midd‘‚ØleŽ‘rÒ=«=‘ÇÝ"pencircleÈ ÝscaledÈ Ý.3Ž‘kÆÜmm"Ž–| ;±;‘ª¨ÂstringŽ‘"ÏõÏp‘ÿ}'en‘‰ffŽ‘®innerŽ‘PΩ«=‘ÇÝ"pencircleÈ ÝscaledÈ Ý.3Ž‘kÆÜmm"Ž“±;ަ‘ÂPictureŽ‘Fñe«&Ž‘N¸ƒÏpictur‘ÿ}'eŽ‘pˆq«=‘ÇÏcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘Dìß±;‘ª¨ÂunsignedŽ‘1á¶in®9tŽ‘C†­Ïmax‘‰ffŽ‘®hexagonsŽ’„ c«=‘Ç1000ŽŽ‘Ç);ޤ ­See–ÕXalso“sections“1281“and“1284.Ž¡This–ÕXcoLÌ«;ŽŸÂ1281.‘ üInclude‘ÕT les.ަ·h–ª¨«Include‘UU les‘@­11“·i‘Ç«+·Ž¡«#ÂincludeŽ‘'Ø~Ý"loader.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"pspglb.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"io.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"colors.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"transfor.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"shapes.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"pictures.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"points.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"lines.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"planes.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"paths.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"curves.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"polygons.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"rectangs.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"ellipses.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"circles.h"ŽŽ¤Â1282.‘ üPlane‘ÕTtesselations.Ž¡1283.‘ üHexagonal–ÕTtesselation“1.ޤ ‘ +«[¬LDF‘T2003.08.10.«]Ž‘Y;TO–UUDO:“Change,“so“that“it's“pGossible“to“put“the“pattern“in¸ãto“a“rectangular“area.ŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.09.22.«]Ž‘X£×Added–ðñargumenš¸ãts.‘PQÏhex‘‰ffŽ–®p‘ÿ}'attern‘‰ffŽ“1Ž‘?ˬ«(‘ª®)“can“no˜w“bGe“used“to“mak˜e“a“pattern“with“up“to“threeŽ¡nested–(ühexagons“whicš¸ãh“can“bGe“dra˜wn“and“ lled.‘bÿEac˜h“hexagon“has“its“o˜wn“argumen˜t“for“the“dra˜w“color,‘1ÛtheŽ¡ ll–ëÔcolor“and“the“pšGen“to“b˜e“used.‘NœÏhex‘‰ffŽ–®p‘ÿ}'attern‘‰ffŽ“1Ž‘?É÷«(‘ª®)“do˜es“not“ha•¸ãv“e›ëÔargumen“ts˜for˜dash˜patterns,‘îbut˜they˜couldŽ¡bGe–zýadded,›„gif“necessary‘ÿ*ª.‘âÀIf“the“argumen¸ãt“for“the“diameter“of“the“middle“or“the“inner“hexagon“is“0,˜then“thatŽ¡hexagon–‰(is“not“draš¸ãwn“or“ lled.‘ @In“this“case,‘–the“argumen˜ts“for“the“dra˜w“and“ ll“colors“are“ignored“for“thatŽ¡hexagon.‘PqThe–ñQdefault“pšGen“for“the“outer“hexagon“is“thic•¸ãk“er–ñQthan“the“p˜ens“for“the“other“t•¸ãw“o–ñQ(.5mm“and“.3mm,Ž¡respGectiv¸ãely).ŽŽŽŒ‹zš& Šn ý‘ì«378‘­HEXAšÃŽGONAL–ÕXTESSELA‘ÿJªTION“1’ß—;3DLDFPR˜G‘·x«1283Ž €n ý•@P‘ +[¬LDF‘T2002.09.20.«]Ž‘Y3NRewrote–€hthis“function.‘òÿIt“noš¸ãw“w˜orks“with“the“new“Ïpr–ÿ}'oje“ctŽ‘!÷v«(›ª®)“function.‘òÿÏhex‘‰ffŽ–®p‘ÿ}'attern‘‰ffŽ“1Ž‘@nZ«(˜)ޤ makš¸ães–í¯a“\honeycom˜b"“pattern“on“the“x-z“plane“using“a“single“hexagon“(i.e.,‘Æthere“aren't“nested“hexagonsŽ¡yš¸ãet,‘•äas–ˆûin“the“old“v˜ersion).‘ ¹In“the“next“v˜ersion,‘•äI‘ˆîplan“to“add“argumen˜ts“for“optionally“putting“t˜w˜o“smallerŽ¡hexagons–UUinside“the“large“one,“and“for“ lling“and“un lling.Ž¡‘ +This–5Övš¸ãersion“con˜tains“argumen˜ts“for“the“dra˜wing“command,‘­öincluding“a“ÂPictureŽ‘0¹«argumen˜t,‘­öso“thatŽ¡Ïhex‘‰ffŽ–®p‘ÿ}'attern‘‰ffŽ“1Ž‘;{[«(‘ª®)–UUneed“not“bGe“put“on¸ãto“Ïcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘E{«.ޤŸüÈ„`ÕÁGŽŽ¡·h›ª¨«Declare–UUP¸ãattern“functions‘@­1283˜·i‘Çޤ ‘ +ÂunsignedŽ‘;_‚in®9tŽ‘N,ìÏhex‘‰ffŽ–®p‘ÿ}'attern‘‰ffŽ“1Ž’‰¨G«(ÂrealŽ‘Û¡Ïdiameter‘‰ffŽ‘®outerŽ‘^§§«=‘µ+5Ž– µ,±;‘ª¨ÂrealŽ‘†IÏdiameter‘‰ffŽ‘®midd‘‚ØleŽ‘fƒa«=‘µ+0Ž“±;‘ª¨ÂrealŽŽ¡‘Ïdiameter‘‰ffŽ‘®innerŽ‘c”ñ«=‘û:0Ž–û;±;‘ª¨ÂunsignedŽ‘2þshortŽ‘OêéÏ rst‘‰ffŽ‘®r‘ÿ}'owŽ‘xà™«=‘û:5Ž“±;‘ª¨ÂunsignedŽ‘2þshortŽ‘OêéÏdouble‘‰ffŽ‘®r‘ÿ}'owsŽ’†Î«=‘û:10ŽŽ‘ û<±;‘ª¨ÂunsignedŽŽ¡‘shortŽ‘;ʦÏr‘ÿ}'ow‘‰ffŽ‘®shiftŽ‘eÓR«=‘Ç2Ž‘Ç±;Ž¡‘ª°=·‘ÿý«Argumenš¸ãts–UUfor“the“dra˜wing“and“ lling“commands.‘o·±=Ž¡‘ +ÂColorŽ‘)¤ôÏdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜outerŽ‘u¤+«=‘Ç·Ž‘ÇÂColorsŽ‘)Ÿ÷«::Ž‘0.5Ïdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘gª±;‘ª©=·–ÿý«Outer“·±=Ž¡‘ +ÂColorŽ‘)`ZÏ l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“outerŽ‘l ­«=‘Ç·Ž‘ÇÂColorsŽ‘)Ÿ÷«::Ž‘0.5Ïb–ÿ}'ackgr“ound‘‰ffŽ‘®c“olorŽ‘zr±;‘ª¨ÂColorŽ‘! Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜midd‘‚ØleŽ‘s;J«=‘Ç·Ž‘ÇÂColorsŽ‘)Ÿ÷«::Ž‘0.5Ïdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘gª±;Ž¡‘=·–ÿý«Middle“·±=Ž¡‘ +ÂColorŽ‘)TuÏ l›‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“midd˜leŽ‘r0Ú«=‘Ç·Ž‘ÇÂColorsŽ‘)Ÿ÷«::Ž‘0.5Ïb–ÿ}'ackgr“ound‘‰ffŽ‘®c“olorŽ‘zr±;‘ª¨ÂColorŽ‘ ÿÏdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜innerŽ‘m,«=‘Ç·Ž‘ÇÂColorsŽ‘)Ÿ÷«::Ž‘0.5Ïdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘gª±;Ž¡‘=·–ÿý«Inner“·±=Ž¡‘ +ÂColorŽ‘)¤ôÏ l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“innerŽ‘lÓ «=‘Ç·Ž‘ÇÂColorsŽ‘)Ÿ÷«::Ž‘0.5Ïb–ÿ}'ackgr“ound‘‰ffŽ‘®c“olorŽ‘zr±;‘ª¨ÂstringŽ‘"ÏõÏp‘ÿ}'en‘‰ffŽ‘®outerŽ‘PKЫ=‘ÇÝ"pencircleÈ ÝscaledÈ Ý.5Ž‘kÆÜmm"Ž‘| ;±;Ž¡‘ÂstringŽ‘?%PÏp‘ÿ}'en‘‰ffŽ‘®midd‘‚ØleŽ‘rÒ=«=‘ÇÝ"pencircleÈ ÝscaledÈ Ý.3Ž‘kÆÜmm"Ž–| ;±;‘ª¨ÂstringŽ‘"ÏõÏp‘ÿ}'en‘‰ffŽ‘®innerŽ‘PΩ«=‘ÇÝ"pencircleÈ ÝscaledÈ Ý.3Ž‘kÆÜmm"Ž“±;Ž¡‘ÂPictureŽ‘Fñe«&Ž‘N¸ƒÏpictur‘ÿ}'eŽ‘pˆq«=‘ÇÏcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘Dìß±;‘ª¨ÂunsignedŽ‘1á¶in®9tŽ‘C†­Ïmax‘‰ffŽ‘®hexagonsŽ’„ c«=‘Ç1000ŽŽ‘Ç);ޤ ­See–ÕXalso“sections“1286“and“1289.Ž¡This–ÕXco‘8­«25ŽŽ‘ 8¯)‘±=·‘D$«[¬LDF‘T2002.09.22.«]Ž‘T…This–™|can't“bšGe“ÂelseŽ‘ ×ifŽ‘&ö«b˜ecause“the“preceding“conditionŽ¡‘(migh•¸ãt›UUha“v“e˜proGduced˜a˜v‘ÿqÇalue˜±>‘Ç«25.‘o·±=Ž¡‘·fŽ¡‘Ïc‘ÿ}'errŽ‘3Šš·‘ÔñÝ"ERROR!È ÝInÈ Ýhex_patteŽ‘kÔµrn_1():\n"Ž’£¯ð·‘ÔñÝ"first_rowÈ ÝhasÈ ÝinvalŽ‘kÔµidÈ Ývalue:È Ý"Ž’¨ïí·‘ÔñÏ rst‘‰ffŽ‘®r‘ÿ}'owŽ‘+¤X·Ž¡‘2Ý"ItÈ ÝcanÈ ÝbeÈ ÝatÈ ÝmostÈ Ý2Ž’šÿÉ5.\n"Ž’¸:·‘ÇÝ"SettingÈ Ýfirst_rowÈ ÝtŽ‘kÆÜoÈ Ý25.\n"Ž’™D·‘ÇÏ ushŽ‘€«;Ž¡‘Ï rst‘‰ffŽ‘®r‘ÿ}'owŽ‘FÁ‘«=‘Ç25ŽŽ‘ Ç;Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“outerŽ‘B«S·‘ÇŽ‘ÇÂColorsŽ‘)Ÿ÷«::Ž‘0.5Ïdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘gª«)Ž¡‘(±=·‘Ý_«LDF‘2®2002.09.24.›f=Changed–2·this,‘9£bGecause“I'm“no¸ãw“using“ÂclassŽ‘ðjColorŽ‘=r¿«instead“of“ÂstringsŽ‘%c«.˜No¸ãw“itŽ¡‘2loGoks–]blikš¸ãe“I'm“going“to“ha˜v˜e“to“use“\·Ž‘ÂColorsŽ‘&Øß«::Ž‘-gÏb–ÿ}'ackgr“ound‘‰ffŽ‘®c“olorŽ‘w«u«"“as“a“placeholder.‘‰îI'm“going“toŽ¡‘2ha•¸ãv“e–{€to“c•¸ãhec“k–{€to“see“what“the“consequences“of“this“c¸ãhange“are“here.–äG!!“[¬LDF‘T2002.09.22.«]Ž‘T¬ThisŽ¡‘2is–)necessary‘ÿ*ª,‘ŒbGecause“ÂP®9athŽ‘‘«::‘Ï l‘‚ØlŽ‘ É÷«(›ª®)“in¸ãterprets“\Ý""Ž‘ b«"“as“Ý"black"Ž‘(Ç|«.‘õDIn“Ïhex‘‰ffŽ–®p‘ÿ}'attern‘‰ffŽ“1Ž‘>ü„«(˜),‘Œit“ma¸ãy“bGeŽ¡‘2necessary–to“ha•¸ãv“e–a“placeholder“for“a“Ï l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorŽ‘)]«,‘‰tand“it's“bšGetter“to“b˜e“able“to“use“\Ý""Ž‘ b«"“than“toŽ¡‘2ha•¸ãv“e–UUto“t¸ãypGe“\Ïb–ÿ}'ackgr“oundŽ‘1uö«".‘o·±=Ž¡‘Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“outerŽ‘`«V«=‘Ç·Ž‘ÇÂColorsŽ‘)Ÿ÷«::Ž‘0.5Ïb–ÿ}'ackgr“ound‘‰ffŽ‘®c“olorŽ‘zr«;Ž¡‘ÂifŽ‘´ú«(Ï l›‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“midd˜leŽ‘HÜe·‘ÇŽ‘ÇÂColorsŽ‘)Ÿ÷«::Ž‘0.5Ïdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘gª«)‘Ï l›‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“midd˜leŽ‘MÜe«=‘Ç·Ž‘ÇÂColorsŽ‘)Ÿ÷«::Ž‘0.5Ïb–ÿ}'ackgr“ound‘‰ffŽ‘®c“olorŽ‘zr«;Ž¡‘ÂifŽ‘´ú«(Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“innerŽ‘C.,·‘ÇŽ‘ÇÂColorsŽ‘)Ÿ÷«::Ž‘0.5Ïdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘gª«)‘Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“innerŽ‘H.,«=‘Ç·Ž‘ÇÂColorsŽ‘)Ÿ÷«::Ž‘0.5Ïb–ÿ}'ackgr“ound‘‰ffŽ‘®c“olorŽ‘zr«;ަ‘Âb•QÇo“olŽ‘-¨CÏdo‘‰ffŽ‘®midd‘‚ØleŽ‘Yô‚«;‘±=·‘Ø«[¬LDF‘T2002.09.22.«]Ž‘TíHaš¸ãving‘\0Ïdo‘‰ffŽ‘®midd‘‚ØleŽ‘3Ÿ«and‘\0Ïdo‘‰ffŽ‘®innerŽ‘-Vf«is–\0a“con˜v˜enience,‘]çso“I‘\.don'tŽ¡‘(ha•¸ãv“e–f-to“c•¸ãhec“k–f-whether“Ïdiameter‘‰ffŽ‘®midd‘‚ØleŽ‘OG«and“Ïdiameter‘‰ffŽ‘®innerŽ‘If«are“·‘ã*«0“bGelo•¸ãw,‘jbwhic“h›f-w“ouldn't˜bGe˜asŽ¡‘(clearly‘UUunderstandable.‘o·±=Ž¡‘Âb•QÇo“olŽ‘-¡hÏdo‘‰ffŽ‘®innerŽ‘T?n«;ަ‘Ïdo‘‰ffŽ‘®midd‘‚ØleŽ‘CY«=–Ç(Ïdiameter‘‰ffŽ‘®midd‘‚ØleŽ‘K·“«0Ž‘Ç)“?“ÏfalseŽ‘=t«:“ÏtrueŽ‘‹°«;Ž¡‘Ïdo‘‰ffŽ‘®innerŽ‘=e «=–Ç(Ïdiameter‘‰ffŽ‘®innerŽ‘E`Ì·“«0Ž‘Ç)“?“ÏfalseŽ‘=t«:“ÏtrueŽ‘‹°«;ަ‘ÂP•®9oin“tŽ‘2ïŸÏpt0Ž‘BXÚ«;‘±=·‘ÿý«origin.‘o·±=Ž¡‘ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘XÔ Ïp‘‰ffŽ‘®outerŽ‘yÒÈ«(Ïpt0Ž‘i;±;‘ª¨«6Ž‘ª©±;‘ª¨Ïdiameter‘‰ffŽ‘®outerŽ‘CÁƒ«);Ž¡‘ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘XÔ Ïp‘‰ffŽ‘®midd‘‚ØleŽ’€Ú«;Ž¡‘ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘Y ¹Ïp‘‰ffŽ‘®innerŽ‘z‹O«;‘±=·‘5««[¬LDF‘T2002.09.22.«]Ž‘Ts“The–‹middle“and“inner“hexagons“are“only“set“(andŽ¡‘(used)–UUif“Ïdo‘‰ffŽ‘®midd‘‚ØleŽ‘2öé«and/or“Ïdo‘‰ffŽ‘®innerŽ‘-H°«are“true.‘o·±=ަ‘ÂifŽ‘´ú«(Ïdo‘‰ffŽ‘®midd‘‚ØleŽ‘,L?«)‘Ïp‘‰ffŽ‘®midd‘‚ØleŽ‘,/ϱ:ÏsetŽ‘ x„«(Ïpt0Ž‘i;±;‘ª¨«6Ž‘ª©±;‘ª¨Ïdiameter‘‰ffŽ‘®midd‘‚ØleŽ‘Iò•«);Ž¡‘ÂifŽ‘´ú«(Ïdo‘‰ffŽ‘®innerŽ‘&ž«)‘Ïp‘‰ffŽ‘®innerŽ‘&–±:ÏsetŽ‘ x„«(Ïpt0Ž‘i;±;‘ª¨«6Ž‘ª©±;‘ª¨Ïdiameter‘‰ffŽ‘®innerŽ‘DD\«);ަ‘ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘XÔ Ïp‘‰ffŽ–®outer‘‰ffŽ“c‘ÿ}'opyŽ’zl«;‘±=·‘ÿý«These‘UUÂRegu½‰™šs4Ž‘ÔwP®9olygonsŽ‘L²š«are–UUused“for“cop¸ãying.‘o·±=ŽŽŽŒ‹x·w Šn ý‘ì«376‘­HEXAšÃŽGONAL–ÕXTESSELA‘ÿJªTION“1’ß—;3DLDFPR˜G‘·x«1279Ž €n ý•@P‘ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘XÔ Ïp‘‰ffŽ–®midd‘‚Øle‘‰ffŽ“c‘ÿ}'opyŽ’–þ°«;ޤ ‘ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘XÔ Ïp‘‰ffŽ–®inner‘‰ffŽ“c‘ÿ}'opyŽ’ýE«;Ž¡#ÂifŽ‘ ´ø«0ŽŽ©‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïp‘‰ffŽ‘®outerŽ‘%þ½±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(‘ª¨);Ž¡#ÂendifŽŽ¦‘realŽ‘,<°Ïright‘‰ffŽ‘®shiftŽ‘]°1«=‘VêÏp‘‰ffŽ‘®outerŽ‘&U§±:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ›'bH«(4Ž‘)±:Ïget‘‰ffŽ‘®xŽ‘Žg«(‘ª¨)–?4+“Ïp‘‰ffŽ‘®outerŽ‘$=ñ±:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ˜«(3Ž‘)±:Ïget‘‰ffŽ‘®xŽ‘Žg«(‘ª¨)“·Ž¡‘(Ïp‘‰ffŽ‘®outerŽ‘HþÁ±:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ›'bH«(1Ž‘)±:Ïget‘‰ffŽ‘®xŽ‘Žg«(‘ª¨)–8à·“Ïp‘‰ffŽ‘®outerŽ‘#7±:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ˜«(2Ž‘)±:Ïget‘‰ffŽ‘®xŽ‘Žg«(‘ª¨);Ž¡‘ÂrealŽ‘*³0Ïleft‘‰ffŽ‘®shiftŽ‘RÑ2«=‘Ç·Ž‘ +·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ Ýhex_patterŽ‘kÆÜn_1().\n"Ž’žTA·‘ÇÏ ushŽ‘€«;Ž¡‘ÂifŽ‘´ú«(Ï rst‘‰ffŽ‘®r‘ÿ}'owŽ‘(Áޱ<‘Ç«1Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘3Šš·‘ÔñÝ"ERROR!È ÝInÈ Ýhex_patteŽ‘kÔµrn_1():\n"Ž’£¯ð·‘ÔñÝ"first_rowÈ ÝhasÈ ÝinvalŽ‘kÔµidÈ Ývalue:È Ý"Ž’¨ïí·‘ÔñÏ rst‘‰ffŽ‘®r‘ÿ}'owŽ‘+¤X·Ž¡‘2Ý"ItÈ ÝmustÈ ÝbeÈ ÝstrictlyŽ’šÿÉÈ Ýpositive.\n"Ž’â"·‘ÇÝ"TakingÈ ÝabsoluteÈ ÝvalŽ‘kÆÜue.\n"Ž’Ž”J·‘ÇÏ ushŽ‘€«;Ž¡‘Ï rst‘‰ffŽ‘®r‘ÿ}'owŽ‘FÁ‘«=‘ÇÏabsŽ‘èÚ«(Ï rst‘‰ffŽ‘®r‘ÿ}'owŽ‘%úv«);Ž¡‘Ïc‘ÿ}'errŽ‘3|Á·‘ÇÝ"NowÈ Ýfirst_rowÈ Ý==È Ý"Ž‘iÔ_·‘ÇÏ rst‘‰ffŽ‘®r‘ÿ}'owŽ‘+ˆ¦·‘ÇÝ"."Ž‘Ô·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ÂifŽ‘ù!«(Ï rst‘‰ffŽ‘®r‘ÿ}'owŽ‘)3#±>‘8­«25ŽŽ‘ 8¯)‘±=·‘D$«[¬LDF‘T2002.09.22.«]Ž‘T…This–™|can't“bšGe“ÂelseŽ‘ ×ifŽ‘&ö«b˜ecause“the“preceding“conditionŽ¡‘(migh•¸ãt›UUha“v“e˜proGduced˜a˜v‘ÿqÇalue˜±>‘Ç«25.‘o·±=Ž¡‘·fŽ¡‘Ïc‘ÿ}'errŽ‘3Šš·‘ÔñÝ"ERROR!È ÝInÈ Ýhex_patteŽ‘kÔµrn_1():\n"Ž’£¯ð·‘ÔñÝ"first_rowÈ ÝhasÈ ÝinvalŽ‘kÔµidÈ Ývalue:È Ý"Ž’¨ïí·‘ÔñÏ rst‘‰ffŽ‘®r‘ÿ}'owŽ‘+¤X·Ž¡‘2Ý"ItÈ ÝcanÈ ÝbeÈ ÝatÈ ÝmostÈ Ý2Ž’šÿÉ5.\n"Ž’¸:·‘ÇÝ"SettingÈ Ýfirst_rowÈ ÝtŽ‘kÆÜoÈ Ý25.\n"Ž’™D·‘ÇÏ ushŽ‘€«;Ž¡‘Ï rst‘‰ffŽ‘®r‘ÿ}'owŽ‘FÁ‘«=‘Ç25ŽŽ‘ Ç;Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“outerŽ‘B«S·‘ÇŽ‘ÇÂColorsŽ‘)Ÿ÷«::Ž‘0.5Ïdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘gª«)Ž¡‘(±=·‘Ý_«LDF‘2®2002.09.24.›f=Changed–2·this,‘9£bGecause“I'm“no¸ãw“using“ÂclassŽ‘ðjColorŽ‘=r¿«instead“of“ÂstringsŽ‘%c«.˜No¸ãw“itŽ¡‘2loGoks–]blikš¸ãe“I'm“going“to“ha˜v˜e“to“use“\·Ž‘ÂColorsŽ‘&Øß«::Ž‘-gÏb–ÿ}'ackgr“ound‘‰ffŽ‘®c“olorŽ‘w«u«"“as“a“placeholder.‘‰îI'm“going“toŽ¡‘2ha•¸ãv“e–{€to“c•¸ãhec“k–{€to“see“what“the“consequences“of“this“c¸ãhange“are“here.–äG!!“[¬LDF‘T2002.09.22.«]Ž‘T¬ThisŽ¡‘2is–)necessary‘ÿ*ª,‘ŒbGecause“ÂP®9athŽ‘‘«::‘Ï l‘‚ØlŽ‘ É÷«(›ª®)“in¸ãterprets“\Ý""Ž‘ b«"“as“Ý"black"Ž‘(Ç|«.‘õDIn“Ïhex‘‰ffŽ–®p‘ÿ}'attern‘‰ffŽ“1Ž‘>ü„«(˜),‘Œit“ma¸ãy“bGeŽ¡‘2necessary–to“ha•¸ãv“e–a“placeholder“for“a“Ï l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorŽ‘)]«,‘‰tand“it's“bšGetter“to“b˜e“able“to“use“\Ý""Ž‘ b«"“than“toŽ¡‘2ha•¸ãv“e–UUto“t¸ãypGe“\Ïb–ÿ}'ackgr“oundŽ‘1uö«".‘o·±=Ž¡‘Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“outerŽ‘`«V«=‘Ç·Ž‘ÇÂColorsŽ‘)Ÿ÷«::Ž‘0.5Ïb–ÿ}'ackgr“ound‘‰ffŽ‘®c“olorŽ‘zr«;Ž¡‘ÂifŽ‘´ú«(Ï l›‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“midd˜leŽ‘HÜe·‘ÇŽ‘ÇÂColorsŽ‘)Ÿ÷«::Ž‘0.5Ïdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘gª«)‘Ï l›‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“midd˜leŽ‘MÜe«=‘Ç·Ž‘ÇÂColorsŽ‘)Ÿ÷«::Ž‘0.5Ïb–ÿ}'ackgr“ound‘‰ffŽ‘®c“olorŽ‘zr«;Ž¡‘ÂifŽ‘´ú«(Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“innerŽ‘C.,·‘ÇŽ‘ÇÂColorsŽ‘)Ÿ÷«::Ž‘0.5Ïdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘gª«)‘Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“innerŽ‘H.,«=‘Ç·Ž‘ÇÂColorsŽ‘)Ÿ÷«::Ž‘0.5Ïb–ÿ}'ackgr“ound‘‰ffŽ‘®c“olorŽ‘zr«;ަ‘Âb•QÇo“olŽ‘-¨CÏdo‘‰ffŽ‘®midd‘‚ØleŽ‘Yô‚«;‘±=·‘Ø«[¬LDF‘T2002.09.22.«]Ž‘TíHaš¸ãving‘\0Ïdo‘‰ffŽ‘®midd‘‚ØleŽ‘3Ÿ«and‘\0Ïdo‘‰ffŽ‘®innerŽ‘-Vf«is–\0a“con˜v˜enience,‘]çso“I‘\.don'tŽ¡‘(ha•¸ãv“e–f-to“c•¸ãhec“k–f-whether“Ïdiameter‘‰ffŽ‘®midd‘‚ØleŽ‘OG«and“Ïdiameter‘‰ffŽ‘®innerŽ‘If«are“·‘ã*«0“bGelo•¸ãw,‘jbwhic“h›f-w“ouldn't˜bGe˜asŽ¡‘(clearly‘UUunderstandable.‘o·±=Ž¡‘Âb•QÇo“olŽ‘-¡hÏdo‘‰ffŽ‘®innerŽ‘T?n«;ަ‘Ïdo‘‰ffŽ‘®midd‘‚ØleŽ‘CY«=–Ç(Ïdiameter‘‰ffŽ‘®midd‘‚ØleŽ‘K·“«0Ž‘Ç)“?“ÏfalseŽ‘=t«:“ÏtrueŽ‘‹°«;Ž¡‘Ïdo‘‰ffŽ‘®innerŽ‘=e «=–Ç(Ïdiameter‘‰ffŽ‘®innerŽ‘E`Ì·“«0Ž‘Ç)“?“ÏfalseŽ‘=t«:“ÏtrueŽ‘‹°«;ަ‘ÂP•®9oin“tŽ‘2ïŸÏpt0Ž‘BXÚ«;‘±=·‘ÿý«origin.‘o·±=Ž¡‘ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘XÔ Ïp‘‰ffŽ‘®outerŽ‘yÒÈ«(Ïpt0Ž‘i;±;‘ª¨«6Ž‘ª©±;‘ª¨Ïdiameter‘‰ffŽ‘®outerŽ‘CÁƒ«);Ž¡‘ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘XÔ Ïp‘‰ffŽ‘®midd‘‚ØleŽ’€Ú«;Ž¡‘ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘Y ¹Ïp‘‰ffŽ‘®innerŽ‘z‹O«;‘±=·‘5««[¬LDF‘T2002.09.22.«]Ž‘Ts“The–‹middle“and“inner“hexagons“are“only“set“(andŽ¡‘(used)–UUif“Ïdo‘‰ffŽ‘®midd‘‚ØleŽ‘2öé«and/or“Ïdo‘‰ffŽ‘®innerŽ‘-H°«are“true.‘o·±=ަ‘ÂifŽ‘´ú«(Ïdo‘‰ffŽ‘®midd‘‚ØleŽ‘,L?«)‘Ïp‘‰ffŽ‘®midd‘‚ØleŽ‘,/ϱ:ÏsetŽ‘ x„«(Ïpt0Ž‘i;±;‘ª¨«6Ž‘ª©±;‘ª¨Ïdiameter‘‰ffŽ‘®midd‘‚ØleŽ‘Iò•«);Ž¡‘ÂifŽ‘´ú«(Ïdo‘‰ffŽ‘®innerŽ‘&ž«)‘Ïp‘‰ffŽ‘®innerŽ‘&–±:ÏsetŽ‘ x„«(Ïpt0Ž‘i;±;‘ª¨«6Ž‘ª©±;‘ª¨Ïdiameter‘‰ffŽ‘®innerŽ‘DD\«);ަ‘ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘XÔ Ïp‘‰ffŽ–®outer‘‰ffŽ“c‘ÿ}'opyŽ’zl«;‘±=·‘ÿý«These‘UUÂRegu½‰™šs4Ž‘ÔwP®9olygonsŽ‘L²š«are–UUused“for“cop¸ãying.‘o·±=ŽŽŽŒ‹|´p Šn ý‘ì«380‘­HEXAšÃŽGONAL–ÕXTESSELA‘ÿJªTION“1’ß—;3DLDFPR˜G‘·x«1284Ž €n ý•@P‘ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘XÔ Ïp‘‰ffŽ–®midd‘‚Øle‘‰ffŽ“c‘ÿ}'opyŽ’–þ°«;ޤ ‘ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘XÔ Ïp‘‰ffŽ–®inner‘‰ffŽ“c‘ÿ}'opyŽ’ýE«;Ž¡#ÂifŽ‘ ´ø«0ŽŽ©‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïp‘‰ffŽ‘®outerŽ‘%þ½±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(‘ª¨);Ž¡#ÂendifŽŽ¦‘realŽ‘,<°Ïright‘‰ffŽ‘®shiftŽ‘]°1«=‘VêÏp‘‰ffŽ‘®outerŽ‘&U§±:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ›'bH«(4Ž‘)±:Ïget‘‰ffŽ‘®xŽ‘Žg«(‘ª¨)–?4+“Ïp‘‰ffŽ‘®outerŽ‘$=ñ±:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ˜«(3Ž‘)±:Ïget‘‰ffŽ‘®xŽ‘Žg«(‘ª¨)“·Ž¡‘(Ïp‘‰ffŽ‘®outerŽ‘HþÁ±:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ›'bH«(1Ž‘)±:Ïget‘‰ffŽ‘®xŽ‘Žg«(‘ª¨)–8à·“Ïp‘‰ffŽ‘®outerŽ‘#7±:Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ˜«(2Ž‘)±:Ïget‘‰ffŽ‘®xŽ‘Žg«(‘ª¨);Ž¡‘ÂrealŽ‘*³0Ïleft‘‰ffŽ‘®shiftŽ‘RÑ2«=‘Ç·Ž‘ Ž6Ïright‘‰ffŽ‘®shiftŽ‘6ªÍ«;‘±=·‘ÿý«Cenš¸ãter–UUthe“ rst“ro˜w“on“the“origin.‘o·±=Ž¡‘ÂT‘ÿ «ransformŽ‘KÈÔ±tŽ‘OeF«;ަ‘±tŽ‘œt:ÏshiftŽ‘}«((Ï rst‘‰ffŽ‘®r‘ÿ}'owŽ‘%úv±=«2Ž‘)–8à·“Ïleft‘‰ffŽ‘®shiftŽ‘'Ê«);Ž¡‘ÂifŽ‘´ú«(Ï rst‘‰ffŽ‘®r‘ÿ}'owŽ‘(3V­%Ž‘1’«2Ž‘9H«·‘Ç«0Ž‘Ç)‘±tŽ‘œr:ÏshiftŽ‘}«(±:«5ŽŽ‘ ÿþ·‘8àÏright‘‰ffŽ‘®shiftŽ‘.Uw«);Ž¡‘Ïp‘‰ffŽ‘®outerŽ‘7Å×·«=ŽŽ‘GT±tŽ‘Jð€«;Ž¡‘ÂifŽ‘´ú«(Ïdo‘‰ffŽ‘®midd‘‚ØleŽ‘,L?«)‘Ïp‘‰ffŽ‘®midd‘‚ØleŽ‘.öç·«=ŽŽ‘>…±tŽ‘B!«;Ž¡‘ÂifŽ‘´ú«(Ïdo‘‰ffŽ‘®innerŽ‘&ž«)‘Ïp‘‰ffŽ‘®innerŽ‘)H®·«=ŽŽ‘8Öå±tŽ‘«;Ž¡‘(€Ÿÿ®+‘ÿ+ŽŽ‘4G$Ïi‘‰ffŽ‘®maxŽ‘Nªâ«;Ž¡‘(±tŽ‘.cŽ«=‘ÇÏp‘‰ffŽ‘®outerŽ‘#ÅÕ±:ÏshiftŽ‘}«(Ïleft‘‰ffŽ‘®shiftŽ‘%Vê«);Ž¡‘(ÂifŽ‘3´ü«(Ïdo‘‰ffŽ‘®midd‘‚ØleŽ‘,L?«)‘Ïp‘‰ffŽ‘®midd‘‚ØleŽ‘.öç·«=ŽŽ‘>…±tŽ‘B!«;Ž¡‘(ÂifŽ‘3´ü«(Ïdo‘‰ffŽ‘®innerŽ‘&ž«)‘Ïp‘‰ffŽ‘®innerŽ‘)H®·«=ŽŽ‘8Öå±tŽ‘€Ïi‘‰ffŽ‘®minŽ‘Wd?«;Ž¡‘2±tŽ‘8c«=‘ÇÏp‘‰ffŽ–®outer‘‰ffŽ“c‘ÿ}'opyŽ‘:my±:ÏshiftŽ‘}«(Ïleft‘‰ffŽ‘®shiftŽ‘%Vê«);Ž¡‘2ÂifŽ‘=´ý«(Ïdo‘‰ffŽ‘®midd‘‚ØleŽ‘,L?«)‘Ïp‘‰ffŽ–®midd‘‚Øle‘‰ffŽ“c‘ÿ}'opyŽ‘Eñ½·«=ŽŽ‘Uô±tŽ‘Yf«;Ž¡‘2ÂifŽ‘=´ý«(Ïdo‘‰ffŽ‘®innerŽ‘&ž«)‘Ïp‘‰ffŽ–®inner‘‰ffŽ“c‘ÿ}'opyŽ‘?ðR·«=ŽŽ‘O~‰±tŽ‘Sû«;Ž¡‘(·gŽ¡‘(ÂforŽ‘9芫(±iŽ‘9 «=‘ÇÏi‘‰ffŽ‘®minŽ‘«P«;‘ÿý±iŽ‘ 9 <‘ÇÏi‘‰ffŽ‘®maxŽ‘*Ö«;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)Ž¡‘2±=·‘ÿý«[¬LDF‘T2002.09.22.«]Ž‘T7This–UUloGop“draš¸ãws“and/or“ lls“the“horizon˜tal“ro˜ws.‘o·±=Ž¡‘(·fŽ¡‘2ÂifŽ‘=´ý«(Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“outerŽ‘B«S·‘ÇŽ‘ÇÂColorsŽ‘)Ÿ÷«::Ž‘0.5Ïb–ÿ}'ackgr“ound‘‰ffŽ‘®c“olorŽ‘zr«)Ž¡‘<Ïp‘‰ffŽ–®outer‘‰ffŽ“c‘ÿ}'opyŽ‘s¦g±:Ïdr‘ÿ}'awŽ‘(Û«(Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜outerŽ‘I8±;‘ª¨Ý""Ž‘ ± +ß6·‘Ò[«1Ž‘ .salready–\has“one“hexagon“more“than“the“ rst“roš¸ãw“dra˜wn,›]Çso“when“Ïr‘ÿ}'ow‘‰ffŽ‘®shiftŽ‘-p·‘Ò[«1Ž‘Ò\,˜theŽ¡‘2e ect–l6is“that“eacš¸ãh“single“ro˜w“is“one“hexagon“longer“than“the“last.‘¶iThis“mak˜es“the“edges“recedeŽ¡‘2diagonally‘ÿ*ª.‘o·±=Ž¡‘ÂifŽ‘)´û«(±kŽ‘Ln·6«=‘Ç0Ž– ÿù·^‘8àÏr‘ÿ}'ow‘‰ffŽ‘®shiftŽ‘,AŒ·6«=‘Ç0Ž“·^‘8à±kŽ‘ ÷­%Ž‘ERÏr‘ÿ}'ow‘‰ffŽ‘®shiftŽ‘=Mþ·‘Ç«0Ž‘Ç)‘·fŽ¡‘(€Ÿÿº‘ÿŽŽ‘4€Ïi‘‰ffŽ‘®minŽ‘Md>«;Ž¡‘(€Ÿÿ®+‘ÿ+ŽŽ‘4G$Ïi‘‰ffŽ‘®maxŽ‘Nªâ«;Ž¡‘(±tŽ‘.cŽ«=‘ÇÏp‘‰ffŽ‘®outerŽ‘#ÅÕ±:ÏshiftŽ‘}«(Ïleft‘‰ffŽ‘®shiftŽ‘%Vê«);Ž¡‘(ÂifŽ‘3´ü«(Ïdo‘‰ffŽ‘®midd‘‚ØleŽ‘,L?«)‘Ïp‘‰ffŽ‘®midd‘‚ØleŽ‘.öç·«=ŽŽ‘>…±tŽ‘B!«;Ž¡‘(ÂifŽ‘3´ü«(Ïdo‘‰ffŽ‘®innerŽ‘&ž«)‘Ïp‘‰ffŽ‘®innerŽ‘)H®·«=ŽŽ‘8Öå±tŽ‘€Ïi‘‰ffŽ‘®minŽ‘Wd?«;Ž¡‘2±tŽ‘8c«=‘ÇÏp‘‰ffŽ–®outer‘‰ffŽ“c‘ÿ}'opyŽ‘:my±:ÏshiftŽ‘}«(Ïleft‘‰ffŽ‘®shiftŽ‘%Vê«);Ž¡‘2ÂifŽ‘=´ý«(Ïdo‘‰ffŽ‘®midd‘‚ØleŽ‘,L?«)‘Ïp‘‰ffŽ–®midd‘‚Øle‘‰ffŽ“c‘ÿ}'opyŽ‘Eñ½·«=ŽŽ‘Uô±tŽ‘Yf«;Ž¡‘2ÂifŽ‘=´ý«(Ïdo‘‰ffŽ‘®innerŽ‘&ž«)‘Ïp‘‰ffŽ–®inner‘‰ffŽ“c‘ÿ}'opyŽ‘?ðR·«=ŽŽ‘O~‰±tŽ‘Sû«;Ž¡‘(·gŽ¡‘(ÂforŽ‘9芫(±iŽ‘9 «=‘ÇÏi‘‰ffŽ‘®minŽ‘«P«;‘ÿý±iŽ‘ 9 <‘ÇÏi‘‰ffŽ‘®maxŽ‘*Ö«;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)Ž¡‘2±=·‘ÿý«[¬LDF‘T2002.09.22.«]Ž‘T7This–UUloGop“draš¸ãws“and/or“ lls“the“horizon˜tal“ro˜ws.‘o·±=Ž¡‘(·fŽ¡‘2ÂifŽ‘=´ý«(Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“outerŽ‘B«S·‘ÇŽ‘ÇÂColorsŽ‘)Ÿ÷«::Ž‘0.5Ïb–ÿ}'ackgr“ound‘‰ffŽ‘®c“olorŽ‘zr«)Ž¡‘<Ïp‘‰ffŽ–®outer‘‰ffŽ“c‘ÿ}'opyŽ‘s¦g±:Ïdr‘ÿ}'awŽ‘(Û«(Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜outerŽ‘I8±;‘ª¨Ý""Ž‘ ± ±;‘ª¨Ïp‘ÿ}'en‘‰ffŽ‘®outerŽ‘,_k±;‘ª¨Ïpictur‘ÿ}'eŽ‘ ³~«);Ž¡‘2ÂelseŽ‘H.9ifŽ‘Sã1«(Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜outerŽ‘Kÿ7·‘ÇÏ l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“outerŽ‘B«S«)‘Ïp‘‰ffŽ–®outer‘‰ffŽ“c‘ÿ}'opyŽ‘<¦a±:Ï l‘‚ØlŽ‘ Éó«(Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“outerŽ‘?ä;±;‘ª¨Ïpictur‘ÿ}'eŽ‘ ³~«);Ž¡‘2ÂelseŽ‘IØäÏp‘‰ffŽ–®outer‘‰ffŽ“c‘ÿ}'opyŽ’E±:Ï l‘‚Øldr‘ÿ}'awŽ‘!gk«(Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜outerŽ‘I8±;‘ª¨Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“outerŽ‘AŽã±;‘ª¨Ý""Ž‘ ± ±;‘ª¨Ïp‘ÿ}'en‘‰ffŽ‘®outerŽ‘,_k±;‘ª¨Ïpictur‘ÿ}'eŽ‘ ³~«);Ž¡‘2ÂifŽ‘=´ý«(Ïdo‘‰ffŽ‘®midd‘‚ØleŽ‘,L?«)‘·fŽ¡‘<ÂifŽ‘G´þ«(Ï l›‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“midd˜leŽ‘HÜe·‘ÇÏ l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“outerŽ‘B«S«)Ž¡‘FÏp‘‰ffŽ–®midd‘‚Øle‘‰ffŽ“c‘ÿ}'opyŽ’„*¬±:Ïdr‘ÿ}'awŽ‘(Û«(Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜midd‘‚ØleŽ‘Oi1±;‘ª¨Ý""Ž‘ ± ±;‘ª¨Ïp‘ÿ}'en‘‰ffŽ‘®midd‘‚ØleŽ‘2}±;‘ª¨Ïpictur‘ÿ}'eŽ‘ ³~«);Ž¡‘<ÂelseŽ‘R.:ifŽ‘]ã2«(Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜midd‘‚ØleŽ‘R0I·‘ÇÏ l›‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“midd˜leŽ‘HÜe«)‘Ïp‘‰ffŽ–®midd‘‚Øle‘‰ffŽ“c‘ÿ}'opyŽ‘C*¥±:Ï l‘‚ØlŽ‘ Éó«(Ï l›‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“midd˜leŽ‘FM±;‘ª¨Ïpictur‘ÿ}'eŽ‘ ³~«);Ž¡‘<ÂelseŽ‘SØåÏp‘‰ffŽ–®midd‘‚Øle‘‰ffŽ“c‘ÿ}'opyŽ’’б:Ï l‘‚Øldr‘ÿ}'awŽ‘!gk«(Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜midd‘‚ØleŽ‘Oi1±;‘ª¨Ï l›‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“midd˜leŽ‘G¿õ±;‘ª¨Ý""Ž‘ ± ±;‘ª¨Ïp‘ÿ}'en‘‰ffŽ‘®midd‘‚ØleŽ‘2}±;‘ª¨Ïpictur‘ÿ}'eŽ‘ ³~«);Ž¡‘2·gŽ¡‘2ÂifŽ‘=´ý«(Ïdo‘‰ffŽ‘®innerŽ‘&ž«)‘·fŽ¡‘<ÂifŽ‘G´þ«(Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“innerŽ‘C.,·‘ÇÏ l›‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“midd˜leŽ‘HÜe«)Ž¡‘FÏp‘‰ffŽ–®inner‘‰ffŽ“c‘ÿ}'opyŽ‘~)A±:Ïdr‘ÿ}'awŽ‘(Û«(Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜innerŽ‘Iºø±;‘ª¨Ý""Ž‘ ± ±;‘ª¨Ïp‘ÿ}'en‘‰ffŽ‘®innerŽ‘,âD±;‘ª¨Ïpictur‘ÿ}'eŽ‘ ³~«);Ž¡‘<ÂelseŽ‘R.:ifŽ‘]ã2«(Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜innerŽ‘L‚·‘ÇÏ l›‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“midd˜leŽ‘HÜe«)‘Ïp‘‰ffŽ–®inner‘‰ffŽ“c‘ÿ}'opyŽ‘=):±:Ï l‘‚ØlŽ‘ Éó«(Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“innerŽ‘@g±;‘ª¨Ïpictur‘ÿ}'eŽ‘ ³~«);Ž¡‘<ÂelseŽ‘SØåÏp‘‰ffŽ–®inner‘‰ffŽ“c‘ÿ}'opyŽ’Œ±:Ï l‘‚Øldr‘ÿ}'awŽ‘!gk«(Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜innerŽ‘Iºø±;‘ª¨Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“innerŽ‘B¼±;‘ª¨Ý""Ž‘ ± ±;‘ª¨Ïp‘ÿ}'en‘‰ffŽ‘®innerŽ‘,âD±;‘ª¨Ïpictur‘ÿ}'eŽ‘ ³~«);Ž¡‘2·gŽ¡‘2€Ÿÿ®+‘ÿ+ŽŽ‘>G%Ïhexagon‘‰ffŽ‘®ctrŽ‘rzy«;Ž¡‘2ÂifŽ‘=´ý«(Ïhexagon‘‰ffŽ‘®ctrŽ‘6úl·‘ÇÏmax‘‰ffŽ‘®hexagonsŽ‘@™¶«)‘·fŽ¡‘<Ïc‘ÿ}'errŽ‘R_É·‘ªÝ"ERROR!È ÝInÈ Ýhex_patteŽ‘l©árn_1():\n"Ž’¥ZH·‘ªÝ"TooÈ ÝmanyÈ ÝsetsÈ ÝofÈ ÝheŽ‘l©áxagons:È Ý"Ž’ K·Ž¡‘PÏhexagon‘‰ffŽ‘®ctrŽ’†út·‘ÇÝ".È ÝReturning."Ž‘TÔk·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘<ÂreturnŽ‘_æÀÏhexagon‘‰ffŽ‘®ctrŽ’”«;Ž¡‘2·gŽ¡‘2±tŽ‘8c«=‘ÇÏp‘‰ffŽ–®outer‘‰ffŽ“c‘ÿ}'opyŽ‘:my±:ÏshiftŽ‘}«(Ïright‘‰ffŽ‘®shiftŽ‘,—«);Ž¡‘2ÂifŽ‘=´ý«(Ïdo‘‰ffŽ‘®midd‘‚ØleŽ‘,L?«)‘Ïp‘‰ffŽ–®midd‘‚Øle‘‰ffŽ“c‘ÿ}'opyŽ‘Eñ½·«=ŽŽ‘Uô±tŽ‘Yf«;Ž¡‘2ÂifŽ‘=´ý«(Ïdo‘‰ffŽ‘®innerŽ‘&ž«)‘Ïp‘‰ffŽ–®inner‘‰ffŽ“c‘ÿ}'opyŽ‘?ðR·«=ŽŽ‘O~‰±tŽ‘Sû«;Ž¡‘(·gŽ¡‘gŽ¡‘Ïp‘‰ffŽ‘®outerŽ‘AÅØ·«=ŽŽ‘QTÏmove‘‰ffŽ‘®b‘ÿ}'ackŽ‘|«;Ž¡‘ÂifŽ‘)´û«(Ïdo‘‰ffŽ‘®midd‘‚ØleŽ‘,L?«)‘Ïp‘‰ffŽ‘®midd‘‚ØleŽ‘.öç·«=ŽŽ‘>…Ïmove‘‰ffŽ‘®b‘ÿ}'ackŽ‘l­«;Ž¡‘ÂifŽ‘)´û«(Ïdo‘‰ffŽ‘®innerŽ‘&ž«)‘Ïp‘‰ffŽ‘®innerŽ‘)H®·«=ŽŽ‘8ÖåÏmove‘‰ffŽ‘®b‘ÿ}'ackŽ‘fþÙ«;Ž¡‘€Ÿÿ®+‘ÿ+ŽŽ‘*G#Ïi‘‰ffŽ‘®minŽ‘C+[«;Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ Ýhex_patternŽ‘kÆÜ_1().\n"Ž’™D·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘7æ¼Ïhexagon‘‰ffŽ‘®ctrŽ‘l«;Ž¡‘ -·gޤ ­See–ÕXalso“sections“1282“and“1285.Ž¡This–ÕXco‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +·gޤ ­See–ÕXalso“sections“1287“and“1290.Ž¡This–ÕXco„`ÊŽŽ¡·h›ª¨«Declare–UUP¸ãattern“functions‘@­1278˜·i‘Ç«+·ޤ ‘ -ÂunsignedŽ‘:7in®9tŽ‘KÜÏepicycloid‘‰ffŽ–®p‘ÿ}'attern‘‰ffŽ“1Ž’£«=«(ÂrealŽ‘³.Ïdiameter‘‰ffŽ‘®innerŽ‘YLâ±;Ž¡‘ÂrealŽ‘4ªÏdiameter‘‰ffŽ–®outer‘‰ffŽ“startŽ’Žv~±;‘ª¨ÂrealŽ‘mOÏdiameter‘‰ffŽ–®outer‘‰ffŽ“endŽ‘m|ˆ±;‘ª¨ÂrealŽ‘mOÏstepŽ‘*±±;‘ª¨ÂunsignedŽ‘1ñ/in®9tŽ‘C¥ŸÏo setsŽ‘`R»±;‘ª¨Âv®9ectorŽ‘!Tð·hÂconstŽŽ¡‘ColorŽ‘=¤ö·Ž‘B¤÷i‘UUÏc‘ÿ}'olorsŽ‘ s«=‘ÇÂColorsŽ‘$Ÿö«::Ž‘+.4Ïdefault‘‰ffŽ–®c›ÿ}'olor‘‰ffŽ“ve˜ctorŽ’€Hn±;‘ª¨Âin®9tŽ‘OŸÏar‘ÿ}'c‘‰ffŽ‘®divisionsŽ‘NV׫=‘Ç72ŽŽ‘ Ç);ŽŽŽŒ‹{Ü Šn ý‘ì·x«1282‘­3DLDFPRÃŽG’ó³eEPICYCLOID›ÕXP–ÿJªA“TTERN˜1‘«379Ž €n ý•@PÂ1282.Ž©·h›ª¨«De ne–UUP¸ãattern“functions‘@­1279˜·i‘Ç«+·ޤ ‘ +[¬LDF‘T2003.08.27.«]Ž‘Y;Remo•¸ãv“ed–UUthe“declaration“ÂconstŽ‘!÷ColorŽ‘A$ê·Ž‘F$ëÏcurr‘‰ffŽ‘®c‘ÿ}'olorŽ‘rå «,“since“Ïcurr‘‰ffŽ‘®c‘ÿ}'olorŽ‘3jÌ«wš¸ãas“nev˜er“used.ޤŸüÈ„`ÕÁGŽŽ¡·h›ª¨«Declare–UUP¸ãattern“functions‘@­1283˜·i‘Ç«+·ޤ ‘ +ÂunsignedŽ‘:7in®9tŽ‘KÜÏepicycloid‘‰ffŽ–®p‘ÿ}'attern‘‰ffŽ“1Ž’£«=«(ÂrealŽ‘³.Ïdiameter‘‰ffŽ‘®innerŽ‘YLâ±;Ž¡‘ÂrealŽ‘4ªÏdiameter‘‰ffŽ–®outer‘‰ffŽ“startŽ’Žv~±;‘ª¨ÂrealŽ‘mOÏdiameter‘‰ffŽ–®outer‘‰ffŽ“endŽ‘m|ˆ±;‘ª¨ÂrealŽ‘mOÏstepŽ‘*±±;‘ª¨ÂunsignedŽ‘1ñ/in®9tŽ‘C¥ŸÏo setsŽ‘`R»±;‘ª¨Âv®9ectorŽ‘!Tð·hÂconstŽŽ¡‘ColorŽ‘=¤ö·Ž‘B¤÷i‘UUÏc‘ÿ}'olorsŽ‘ s«=‘ÇÂColorsŽ‘$Ÿö«::Ž‘+.4Ïdefault‘‰ffŽ–®c›ÿ}'olor‘‰ffŽ“ve˜ctorŽ’€Hn±;‘ª¨Âin®9tŽ‘OŸÏar‘ÿ}'c‘‰ffŽ‘®divisionsŽ‘NV׫=‘Ç72ŽŽ‘ Ç);ŽŽŽŒ‹Õ Šn ý‘ì·x«1287‘­3DLDFPRÃŽG’ó³eEPICYCLOID›ÕXP–ÿJªA“TTERN˜1‘«383Ž €n ý•@PÂ1287.Ž©·h›ª¨«De ne–UUP¸ãattern“functions‘@­1284˜·i‘Ç«+·ޤ ‘ ÂunsignedŽ‘;Xin®9tŽ‘NîÏepicycloid‘‰ffŽ–®p‘ÿ}'attern‘‰ffŽ“1Ž’¥í%«(ÂrealŽ‘Ô"Ïdiameter‘‰ffŽ‘®innerŽ‘ZmÖ±;‘ª¨ÂrealŽ‘~ÊÏdiameter‘‰ffŽ–®outer‘‰ffŽ“startŽ‘s2ž±;‘ª¨ÂrealŽŽ¡‘2Ïdiameter‘‰ffŽ–®outer‘‰ffŽ“endŽ’‡>±;‘ª¨ÂrealŽ‘Ö#ÏstepŽ‘+×±;‘ª¨ÂunsignedŽ‘2Zin®9tŽ‘DwGÏo setsŽ‘a$c±;‘ª¨Âv®9ectorŽ‘!Tð·hÂconstŽ‘¢ïColorŽ‘>À/·Ž‘CÀ0i‘Í¢Ïc‘ÿ}'olorsŽ‘N¨±;‘ª¨Âin®9tŽŽ¡‘2Ïar‘ÿ}'c‘‰ffŽ‘®divisionsŽ‘j@%«)Ž¡‘ -·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·–ÿý«true“·±=ަ‘ÂifŽ‘´ú«(Ïdiameter‘‰ffŽ‘®innerŽ‘E`̱<‘ÇÏdiameter‘‰ffŽ–®outer‘‰ffŽ“startŽ‘\zì«)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘7|U·‘ƬÝ"WARNING!È Ýdiameter_iŽ‘oÆpnnerÈ Ý<È Ýdiameter_outeŽ’ØÆ4r!\n"Ž’úS9·Ž¡‘2Ý"ThisÈ ÝisÈ ÝlikelyÈ ÝtoÈ ÝlŽ’šÿÉeadÈ ÝtoÈ ÝstrangeÈ ÝresulŽ’ÿts.\n"Ž’&Ìû·‘ÇÝ"Continuing.\n\n"Ž‘_Te·‘ÇÏ ushŽ‘€«;Ž¡‘·gަ‘ÂusingŽ‘2SˆnamespaceŽ‘k÷ColorsŽ’ŒÏÜ«;Ž¡‘ÂunsignedŽ‘D7in®9tŽ‘UÜÏspir–ÿ}'al‘‰ffŽ‘®c“ounterŽ’•Þö«=‘Ç0Ž‘Ç;Ž¡‘ÂrealŽ‘*³0Ïr‘ÿ}'adius‘‰ffŽ‘®outerŽ‘a¥«;Ž¡‘ÂrealŽ‘*³0ÏphiŽ‘9„Ô«;Ž¡‘ÂP®9athŽ‘/æ»Ïspir‘ÿ}'alŽ‘I¢«;ަ‘Ïspir‘ÿ}'alŽ‘/ö«+=ŽŽ‘BKUÝ".."Ž‘Wѱ«;ަ‘ÂrealŽ‘*³0Ïr‘ÿ}'adius‘‰ffŽ‘®innerŽ‘dR–«=‘ÇÏdiameter‘‰ffŽ‘®innerŽ‘E`̱=«2Ž‘;Ž¡‘ÂCircleŽ‘5¸ƒÏinner‘‰ffŽ‘®cir‘ÿ}'cleŽ‘hë «(ÏoriginŽ‘ö!±;‘ª¨Ïdiameter‘‰ffŽ‘®innerŽ‘DD\«);ަ‘Ïinner‘‰ffŽ‘®cir‘ÿ}'cleŽ‘G2Ÿ±:Ïdr‘ÿ}'awŽ‘(Û«(‘ª¨);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïinner‘‰ffŽ‘®cir‘ÿ}'cleŽ‘82±:Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ‘,=G«(–ª¨)±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"inner_circle"Ž‘J>±;“Ý"rt"Ž‘1«);ަ‘ÂCircleŽ‘5¸ƒÏouter‘‰ffŽ‘®cir‘ÿ}'cleŽ‘hhG«;Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏouter‘‰ffŽ–®cir›ÿ}'cle‘‰ffŽ“c˜enterŽ’„Ì«;Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏnormalŽ‘SFW«;Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏp0Ž‘?_«;Ž¡‘ÂrealŽ‘*³0ÏthetaŽ‘D8ò«=‘Ç360±:«0ŽŽ‘Ž9±=Ïar‘ÿ}'c‘‰ffŽ‘®divisionsŽ‘8@ «;Ž¡‘ÂCircleŽ‘5¸ƒÏtemp‘‰ffŽ‘®cir‘ÿ}'cleŽ‘gv«;Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏp2Ž‘?_«;Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏtemp‘‰ffŽ–®cir›ÿ}'cle‘‰ffŽ“c˜enterŽ’‚«û«;Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏtemp‘‰ffŽ–®cir‘ÿ}'cle‘‰ffŽ“normalŽ’†ù(«;ަ‘ÂifŽ‘´ú«(Ïo setsŽ‘t4±<‘Ç«1Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘6;·‘g’Ý"WARNING!È ÝoffsetsÈ ÝhaŽ‘ngVsÈ ÝinvalidÈ Ývalue:È Ý"Ž’ÒÕ·‘g’Ïo setsŽ‘'|@·‘g’Ïend‘‚ØlŽ‘Àæ·Ž¡‘2Ý"offsetsÈ ÝmustÈ ÝbeÈ Ý>=È Ž’šÿÉÝ1.È ÝSettingÈ ÝtoÈ Ý1.\n\Ž’ÿn"Ž’Í·‘ÇÏ ushŽ‘€«;Ž¡‘Ïo setsŽ‘=t7«=‘Ç1Ž‘Ç;Ž¡‘·gަ‘ÂrealŽ‘*³0Ïdiameter‘‰ffŽ‘®outerŽ‘lÊ «;ަ‘Âv®9ectorŽ‘3ªJ·hÂconstŽ‘*¢ColorŽ‘=Ï•·Ž‘BÏ–i‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=+M«=‘ÇÏc‘ÿ}'olorsŽ‘H±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘'¸«(Ïdiameter‘‰ffŽ‘®outerŽ‘FÜA«=‘ÅfÏdiameter‘‰ffŽ–®outer‘‰ffŽ“startŽ‘^y:«;‘2-Ïdiameter‘‰ffŽ‘®outerŽ‘Mn·‘ÅfÏdiameter‘‰ffŽ–®outer‘‰ffŽ“endŽ‘YÔŸ«;Ž¡‘2Ïdiameter‘‰ffŽ‘®outerŽ‘vÝø·«=ŽŽ’‰3LÏstepŽ’›w«)‘·fŽ¡‘ÂifŽ‘)´û«(ÏiterŽ‘’·6«=‘ÇÏc‘ÿ}'olorsŽ‘H±:ÏendŽ‘ಫ(‘ª¨)–8à·“«1Ž‘8á)‘€Ÿÿ®+‘ÿ+ŽŽ‘G ÏiterŽ‘"«;Ž¡‘Ïr‘ÿ}'adius‘‰ffŽ‘®outerŽ‘W«=‘ÇÏdiameter‘‰ffŽ‘®outerŽ‘DÝó±=«2Ž‘;Ž¡‘Ïouter‘‰ffŽ–®cir›ÿ}'cle‘‰ffŽ“c˜enterŽ‘o$0±:ÏsetŽ‘ x„«(0Ž‘±;‘ª¨«0Ž‘ª©±;‘ª¨Ïr‘ÿ}'adius‘‰ffŽ‘®innerŽ‘:»Ö«+‘8àÏr‘ÿ}'adius‘‰ffŽ‘®outerŽ‘8ŽU«);Ž¡‘ÏnormalŽ‘AÓ«=‘ÇÏouter‘‰ffŽ–®cir›ÿ}'cle‘‰ffŽ“c˜enterŽ‘SëE«;Ž¡‘ÏnormalŽ‘>V»±:ÏshiftŽ‘}«(0Ž‘±;‘ª¨«1Ž‘ª©);Ž¡‘Ïp0Ž‘*ñ:ÏsetŽ‘ x„«(0Ž‘±;‘ª¨«0Ž‘ª©±;‘ª¨Ïr‘ÿ}'adius‘‰ffŽ‘®innerŽ‘:»Ö«+‘8àÏdiameter‘‰ffŽ‘®outerŽ‘DO»«);Ž¡‘Ïouter‘‰ffŽ‘®cir‘ÿ}'cleŽ‘P¯Ç±:ÏsetŽ‘ x„«(Ïouter‘‰ffŽ–®cir›ÿ}'cle‘‰ffŽ“c˜enterŽ‘Q$-±;‘ª¨Ïdiameter‘‰ffŽ‘®outerŽ‘CÁƒ«);Ž¡‘ÂifŽ‘)´û«(Ïc‘ÿ}'olorsŽ‘±:ÏsizeŽ‘\«(‘ª¨)–Ç·“«0Ž‘Ç)‘Ïc‘ÿ}'olorsŽ‘±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(Ïdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘7{Û«);Ž¡‘ÂforŽ‘/艫(ÂunsignedŽ‘07in®9tŽ‘AܱiŽ‘H«=‘Ç0Ž‘Ç;‘ÿý±iŽ‘ 9 <‘ÇÏo setsŽ‘t4«;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘·fŽ¡‘(ÂifŽ‘3´ü«(±iŽ‘9 ·6«=‘Ç0Ž‘Ç)‘Ïouter‘‰ffŽ–®cir›ÿ}'cle‘‰ffŽ“c˜enterŽ‘XëE·«=ŽŽ‘hy|ÏnormalŽ’‹—L·«=ŽŽ’›%ƒÏp0Ž’ª[·«=ŽŽ’¹‘’Ïouter‘‰ffŽ‘®cir‘ÿ}'cleŽ’ìAV±:Ïr‘ÿ}'otateŽ‘o>«(0Ž‘±;‘ª¨«360±:«0ŽŽ‘qɱ=Ïo setsŽ‘­«);Ž¡‘(ÂelseŽ‘?Øã·fŽŽŽŒ‹| ? Šn ý‘ì«380‘­EPICYCLOID›ÕXP–ÿJªA“TTERN˜1’ó³e3DLDFPRÃŽG‘·x«1282Ž €n ý•@P‘2ÂifŽ‘=´ý«(ÝDEBUGŽ‘ÆY«)‘·fޤ ‘<Ïp0Ž‘HƱ:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"p0"Ž‘†\«);Ž¡‘<Ïouter‘‰ffŽ‘®cir‘ÿ}'cleŽ‘n¯Ê±:Ïdr‘ÿ}'awŽ‘(Û«(ÏblueŽ‘bw«);Ž¡‘2·gŽ¡‘(gŽ¡‘(ÂifŽ‘3´ü«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘2Ïp0Ž‘>ű:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"p0"Ž‘†\±;‘ª¨Ý"bot"Ž‘q«);Ž¡‘2Ïouter‘‰ffŽ‘®cir‘ÿ}'cleŽ‘d¯É±:Ïdr‘ÿ}'awŽ‘(Û«(Ïgr–ÿ}'e“enŽ‘å ±;‘ª¨Ý"evenly"Ž‘,0ø«);Ž¡‘(·gŽ¡‘(Ïspir‘ÿ}'alŽ‘Cö«+=ŽŽ‘VKWÏp0Ž‘bb«;Ž¡‘(ÏphiŽ‘9˜À«=‘ÇÏthetaŽ‘¾¢·‘8àÏr‘ÿ}'adius‘‰ffŽ‘®innerŽ‘9.±=Ïr‘ÿ}'adius‘‰ffŽ‘®outerŽ‘6Uu«;Ž¡‘(Ïtemp‘‰ffŽ‘®cir‘ÿ}'cleŽ‘\«=‘ÇÏouter‘‰ffŽ‘®cir‘ÿ}'cleŽ‘5vÜ«;Ž¡‘(Ïtemp‘‰ffŽ–®cir›ÿ}'cle‘‰ffŽ“c˜enterŽ‘zƒx«=‘ÇÏouter‘‰ffŽ–®cir›ÿ}'cle‘‰ffŽ“c˜enterŽ‘SëE«;Ž¡‘(Ïtemp‘‰ffŽ–®cir‘ÿ}'cle‘‰ffŽ“normalŽ‘~Ð¥«=‘ÇÏnormalŽ‘#Ы;Ž¡‘(Ïp2Ž‘6ÝÜ«=‘ÇÏp0Ž‘ÝØ«;Ž¡‘(ÂforŽ‘9芫(Âin®9tŽ‘¤÷±jޑӫ=‘Ç1Ž‘Ç;‘ÿý±jŽ‘ wÙ·‘ÇÏar‘ÿ}'c‘‰ffŽ‘®divisionsŽ‘;8«;‘ýŸÿ®+‘ÿ+ŽŽ‘G±jŽ‘÷á«)‘·fŽ¡‘2Ïp2Ž‘@ÝÝ·«=ŽŽ‘PlÏtemp‘‰ffŽ–®cir‘ÿ}'cle‘‰ffŽ“normalŽ’§<µ·«=ŽŽ’¶ÊìÏtemp‘‰ffŽ–®cir›ÿ}'cle‘‰ffŽ“c˜enterŽ’ N`·«=ŽŽ’Ü—Ïtemp‘‰ffŽ‘®cir‘ÿ}'cleŽ’J$б:Ïr‘ÿ}'otateŽ‘o>«(0Ž‘±;‘ª¨ÏthetaŽ‘iR«);Ž¡‘2Ïp2Ž‘>ű:Ïr‘ÿ}'otateŽ‘o>«(Ïtemp‘‰ffŽ–®cir›ÿ}'cle‘‰ffŽ“c˜enterŽ‘O¼\±;‘ª¨Ïtemp‘‰ffŽ–®cir‘ÿ}'cle‘‰ffŽ“normalŽ‘U´1±;‘ª¨ÏphiŽ‘|L«);Ž¡‘2Ïspir‘ÿ}'alŽ‘Mö«+=ŽŽ‘`KXÏp2Ž‘lb«;Ž¡‘2ÂifŽ‘=´ý«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘<Ïp2Ž‘HƱ:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"p2"Ž‘†\±;‘ª¨Ý"lft"Ž‘q«);Ž¡‘<Ïtemp‘‰ffŽ‘®cir‘ÿ}'cleŽ‘mGù±:Ïdr‘ÿ}'awŽ‘(Û«(ÏblackŽ‘ Ô±;‘ª¨Ý"evenly"Ž‘,0ø«);Ž¡‘2·gŽ¡‘(gŽ¡‘(Ïspir‘ÿ}'alŽ‘A.ë±:Ïdr‘ÿ}'awŽ‘(Û«(·Ž‘Ž‘ +·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·–ÿý«true“·±=ަ‘ÂifŽ‘´ú«(Ïdiameter‘‰ffŽ‘®innerŽ‘E`̱<‘ÇÏdiameter‘‰ffŽ–®outer‘‰ffŽ“startŽ‘\zì«)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘7|U·‘ƬÝ"WARNING!È Ýdiameter_iŽ‘oÆpnnerÈ Ý<È Ýdiameter_outeŽ’ØÆ4r!\n"Ž’úS9·Ž¡‘2Ý"ThisÈ ÝisÈ ÝlikelyÈ ÝtoÈ ÝlŽ’šÿÉeadÈ ÝtoÈ ÝstrangeÈ ÝresulŽ’ÿts.\n"Ž’&Ìû·‘ÇÝ"Continuing.\n\n"Ž‘_Te·‘ÇÏ ushŽ‘€«;Ž¡‘·gަ‘ÂusingŽ‘2SˆnamespaceŽ‘k÷ColorsŽ’ŒÏÜ«;Ž¡‘ÂunsignedŽ‘D7in®9tŽ‘UÜÏspir–ÿ}'al‘‰ffŽ‘®c“ounterŽ’•Þö«=‘Ç0Ž‘Ç;Ž¡‘ÂrealŽ‘*³0Ïr‘ÿ}'adius‘‰ffŽ‘®outerŽ‘a¥«;Ž¡‘ÂrealŽ‘*³0ÏphiŽ‘9„Ô«;Ž¡‘ÂP®9athŽ‘/æ»Ïspir‘ÿ}'alŽ‘I¢«;ަ‘Ïspir‘ÿ}'alŽ‘/ö«+=ŽŽ‘BKUÝ".."Ž‘Wѱ«;ަ‘ÂrealŽ‘*³0Ïr‘ÿ}'adius‘‰ffŽ‘®innerŽ‘dR–«=‘ÇÏdiameter‘‰ffŽ‘®innerŽ‘E`̱=«2Ž‘;Ž¡‘ÂCircleŽ‘5¸ƒÏinner‘‰ffŽ‘®cir‘ÿ}'cleŽ‘hë «(ÏoriginŽ‘ö!±;‘ª¨Ïdiameter‘‰ffŽ‘®innerŽ‘DD\«);ަ‘Ïinner‘‰ffŽ‘®cir‘ÿ}'cleŽ‘G2Ÿ±:Ïdr‘ÿ}'awŽ‘(Û«(‘ª¨);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïinner‘‰ffŽ‘®cir‘ÿ}'cleŽ‘82±:Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ‘,=G«(–ª¨)±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"inner_circle"Ž‘J>±;“Ý"rt"Ž‘1«);ަ‘ÂCircleŽ‘5¸ƒÏouter‘‰ffŽ‘®cir‘ÿ}'cleŽ‘hhG«;Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏouter‘‰ffŽ–®cir›ÿ}'cle‘‰ffŽ“c˜enterŽ’„Ì«;Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏnormalŽ‘SFW«;Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏp0Ž‘?_«;Ž¡‘ÂrealŽ‘*³0ÏthetaŽ‘D8ò«=‘Ç360±:«0ŽŽ‘Ž9±=Ïar‘ÿ}'c‘‰ffŽ‘®divisionsŽ‘8@ «;Ž¡‘ÂCircleŽ‘5¸ƒÏtemp‘‰ffŽ‘®cir‘ÿ}'cleŽ‘gv«;Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏp2Ž‘?_«;Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏtemp‘‰ffŽ–®cir›ÿ}'cle‘‰ffŽ“c˜enterŽ’‚«û«;Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏtemp‘‰ffŽ–®cir‘ÿ}'cle‘‰ffŽ“normalŽ’†ù(«;ަ‘ÂifŽ‘´ú«(Ïo setsŽ‘t4±<‘Ç«1Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘6;·‘g’Ý"WARNING!È ÝoffsetsÈ ÝhaŽ‘ngVsÈ ÝinvalidÈ Ývalue:È Ý"Ž’ÒÕ·‘g’Ïo setsŽ‘'|@·‘g’Ïend‘‚ØlŽ‘Àæ·Ž¡‘2Ý"offsetsÈ ÝmustÈ ÝbeÈ Ý>=È Ž’šÿÉÝ1.È ÝSettingÈ ÝtoÈ Ý1.\n\Ž’ÿn"Ž’Í·‘ÇÏ ushŽ‘€«;Ž¡‘Ïo setsŽ‘=t7«=‘Ç1Ž‘Ç;Ž¡‘·gަ‘ÂrealŽ‘*³0Ïdiameter‘‰ffŽ‘®outerŽ‘lÊ 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‘Ïp0Ž‘*ñ:Ïr‘ÿ}'otateŽ‘o>«(Ïouter‘‰ffŽ–®cir›ÿ}'cle‘‰ffŽ“c˜enterŽ‘Q$-±;‘ª¨ÏnormalŽ‘"`±;‘ª¨ÏphiŽ‘|L«);Ž¡‘Ïtheta‘‰ffŽ‘®totalŽ‘Nä «+=ŽŽ‘a9`ÏthetaŽ‘wø «;Ž¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘(Ïouter‘‰ffŽ‘®cir‘ÿ}'cleŽ‘Z¯È±:Ïdr‘ÿ}'awŽ‘(Û«(ÏblackŽ‘ Ô±;‘ª¨Ý"evenly"Ž‘,0ø«);Ž¡‘(Ïp0Ž‘4ı:Ïdotlab‘ÿ}'elŽ‘!ÿó«(Ý"p0"Ž‘†\«);Ž¡‘·gŽ¡‘Ïspir‘ÿ}'alŽ‘9ö«+=ŽŽ‘LKVÏp0Ž‘Xb«;Ž¡‘€Ÿÿ®+‘ÿ+ŽŽ‘*G#Ïspir–ÿ}'al‘‰ffŽ‘®c“ounterŽ‘g‚ú«;Ž¡‘·gŽ¡‘ÂreturnŽ‘7æ¼Ïspir–ÿ}'al‘‰ffŽ‘®c“ounterŽ‘u"“«;Ž¡‘ -·gޤÂ1286.‘ üPutting–ÕTpatterns“together.Ž¡1287.‘ ü«This–UUis“what's“compiled.ŽŸ‘ +·gޤÂ1291.‘ üPutting–ÕTpatterns“together.Ž¡1292.‘ ü«This–UUis“what's“compiled.ŽŸ‘ ·h–ª¨«Include‘UU les‘@­11“·iޤ ‘ h‘ª¨«V‘ÿ*ªersion–UUconš¸ãtrol“iden˜ti er‘@­10‘ª¨·iŽ¡‘ -h›ª¨«Declare–UUP¸ãattern“functions‘@­1278˜·iŽ¡‘ -h›ª¨«De ne–UUP¸ãattern“functions‘@­1279˜·iŽŽŽŒ‹B- Šn ý‘ì·x«1288‘­3DLDFPRÃŽG’Ï´¯PUTTING›ÕXP–ÿJªA“TTERNS˜TOGETHER‘«383Ž €n ý•@PÂ1288.‘ ü«This–UUis“what's“written“to“Èpatterns.h«.Ž©·h‘ª¨Ýpatterns.hŽ‘@0ó­1288‘ª¨·i‘Çޤ ‘ 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+[¬LDF‘T2003.12.10.«]Ž‘YQ‘Put–ž«the“vš¸ãersion“con˜trol“iden˜ti ers“bac˜k“in˜to“m˜y“release“v˜ersions“for“3DLDF‘ž™1.1.4.‘MÊI'v˜eŽ¡already–"¯put“some“of“them“bacš¸ãk“in,‘,Ñno˜w“I'm“doing“the“rest“of“them.‘`åHo˜w˜ev˜er,‘,Ñthe“release“v˜ersions“are“no˜w“inŽ¡their–UUoš¸ãwn“R˜CS“repGository‘ÿ*ª.ަŸüÈ„`ÕÁGŽŽ¦·h‘ª¨«V‘ÿ*ªersion–UUconš¸ãtrol“iden˜ti er‘@­10‘ª¨·i‘Ç«+·Ž¡‘ +ÂstaticŽ‘)HÚstringŽ‘Jn'Ïr‘ÿ}'cs‘‰ffŽ‘®idŽ‘g(«=‘ÇÝ"$Id:È Ýsolids.web,vÈ Ý1Ž‘kÆÜ.2È Ý2003/12/10È Ý16:46:Ž’ÔÆ 34È Ýlfinsto1È ÝExpÈ Ý$"Ž’3ÌÒ«;ŽŸÂ1295.‘ üInclude‘ÕT les.ަ·h–ª¨«Include‘UU 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ÇÏiterŽ‘’«;Ž¡‘·gŽ¡‘ÂforŽ‘&?œ«(Âv®9ectorŽ‘ªH·hÂRectangleŽ‘5ëþ·Ž‘:ëÿi‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W¦2«=‘X9±sŽ–9:Ïr–ÿ}'e“ctanglesŽ›+ E±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);‘WÏiterŽ‘zH·6«=‘X9±sŽ“:Ïr–ÿ}'e“ctanglesŽ˜±:ÏendŽ‘ಫ(‘ª¨);Ž¡‘2€Ÿÿ®+‘ÿ+ŽŽ‘>G%ÏiterŽ‘O#«)‘·fŽ¡‘Ïr–ÿ}'e“ctanglesŽ‘I H±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÂRectangleŽ‘3?™«::Ž‘9Í×Ïcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“r–ÿ}'e“ctangleŽ’’í«(‘ª¨));Ž¡‘·Ž‘#«(Ïr–ÿ}'e“ctanglesŽ‘+ E±:Ïb‘ÿ}'ackŽ‘üë(‘ª¨))–Ç=“·Ž‘ÇŽ‘ ÇÏiterŽ‘’«;Ž¡‘·gŽ¡‘Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘jËk«=‘Ç0Ž‘Ç;‘±=·‘ÿý«F‘ÿ*ªor‘UUoutput.‘o·±=Ž¡‘Ïdo‘‰ffŽ‘®outputŽ‘A½M«=‘ÇÏtrueŽ‘‹°«;Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"paths.size()È Ý==È Ý"Ž‘d”b·‘ÇÏp‘ÿ}'athsŽ‘Wű:ÏsizeŽ‘\«(‘ª¨)–Ç·“Ïend‘‚ØlŽ‘ò·“Ï ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"circles.size()È Ý==È Ý"Ž‘o\·‘ÇÏcir‘ÿ}'clesŽ‘S|±:ÏsizeŽ‘\«(‘ª¨)–Ç·“Ïend‘‚ØlŽ‘ò·“Ï ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"ellipses.size()È Ý==È Ž‘kÆÜÝ"Ž‘tTY·‘ÇÏel‘‚ØlipsesŽ‘#I‰±:ÏsizeŽ‘\«(‘ª¨)–Ç·“Ïend‘‚ØlŽ‘ò·“Ï ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"reg_polygons.size()Ž‘kÆÜÈ Ý==È Ý"Ž’‰TM·‘ÇÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘8ºh±:ÏsizeŽ‘\«(‘ª¨)–Ç·“Ïend‘‚ØlŽ‘ò·“Ï ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"rectangles.size()È Ý=Ž‘kÆÜ=È Ý"Ž‘~ÔS·‘ÇÏr–ÿ}'e“ctanglesŽ‘.g]±:ÏsizeŽ‘\«(‘ª¨)–Ç·“Ïend‘‚ØlŽ‘ò·“Ï ushŽ‘€«;Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝSolid::operŽ‘kÆÜator=().\n"Ž’¦ #«;Ž¡‘ÂreturnŽ‘7æ¼·Ž‘<æ½ÏthisŽ‘MÒs«;Ž¡‘ +·gŽŸÂ1309.‘ üCop®9ying.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.05.06.«]Ž‘X—¶BUG›ä³FIX:–äÐChanged“±sŽ‘ -y «from“ÂShapQÇeŽ‘$µ­·Ž‘,š~«to“ÂSolidŽ‘Gw·Ž‘$Gx«.‘LFI˜noticed“this“bug“when“I˜tried“to“cop¸ãyŽ¡a‘UUÂPictureŽ‘,F·«conš¸ãtaining–UUa“ÂCubQÇoidŽ‘(¤ï«,“and“the“cop˜y“con˜tained“a“single“empt˜y“ÂShapQÇeŽ‘%–··Ž‘-ì «on“Ïshap‘ÿ}'esŽ‘ CÞ«.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·ŽŸ ‘ -ÂvirtualŽ‘/ÔShapQÇeŽ‘QÏ6·Ž‘VÏ7Ïget‘‰ffŽ‘®c‘ÿ}'opyŽ‘{’ë«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹†”Ï Šn ý‘ì«390–­COPYING’4Å3DLDFPRÃŽG“·x«1305Ž €n ý•@PÂ1305.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·ޤ ‘ +y «from“ÂShapQÇeŽ‘$µ­·Ž‘,š~«to“ÂSolidŽ‘Gw·Ž‘$Gx«.‘LFI˜noticed“this“bug“when“I˜tried“to“cop¸ãyŽ¡a‘UUÂPictureŽ‘,F·«conš¸ãtaining–UUa“ÂCubQÇoidŽ‘(¤ï«,“and“the“cop˜y“con˜tained“a“single“empt˜y“ÂShapQÇeŽ‘%–··Ž‘-ì «on“Ïshap‘ÿ}'esŽ‘ CÞ«.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·ŽŸ ‘ +ÂvirtualŽ‘/ÔShapQÇeŽ‘QÏ6·Ž‘VÏ7Ïget‘‰ffŽ‘®c‘ÿ}'opyŽ‘{’ë«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹Š’¦ Šn ý‘ì«394–­COPYING’4Å3DLDFPRÃŽG“·x«1310Ž €n ý•@PÂ1310.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·ޤ ‘ ÂShapQÇeŽ‘,Ac·Ž‘1AdÂSolidŽ‘K¿?«::‘Ïget‘‰ffŽ‘®c‘ÿ}'opyŽ‘%ø«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂSolidŽ‘0Ó.·Ž‘5Ó/±sŽ‘=JG«=‘ÇÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“solidŽ‘IèÓ«(‘ª¨);ަ‘·Ž‘±sŽ‘ w«=‘Ç·Ž‘ÇÏthisŽ‘²Ï«;Ž¡‘ÂreturnŽ‘7æ¼dynamicu½‰™šs4Ž‘ÔwcastŽ‘{W·hÂShapQÇeŽ‘"Ab·Ž‘'Aci«(±sŽ‘°«);Ž¡‘ -·gŽŸÂ1306.‘ üSet–ÕTon“free“store.ަ·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·Ž¡‘ +·gŽŸÂ1311.‘ üSet–ÕTon“free“store.ަ·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·Ž¡‘ ÂinlineŽ‘)ŠIvirtualŽ‘Ob•QÇo“olŽ‘h¹‚Ïset‘‰ffŽ–®on‘‰ffŽ“fr–ÿ}'e“e‘‰ffŽ‘®stor“eŽ’°Y«(Âb•QÇo“olŽ‘¡f±bŽ‘ ³(«=‘ÇÏtrueŽ‘‹°«)Ž¡‘ ·fŽ¡‘Ïon‘‰ffŽ›®fr–ÿ}'e“e‘‰ffŽ˜stor“eŽ‘Nl «=‘DZbŽ‘«;Ž¡‘ÂreturnŽ‘7æ¼±bŽ‘<1f«;Ž¡‘ -·gŽŸÂ1307.› üReturning–ÕTelemen®9ts“and“information.˜«[¬LDF‘T2003.04.11.«]Ž‘Zˆ6The–UUfunctions“Ïget‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ‘<ö¹«(‘ª®),Ž¡Ïget‘‰ffŽ–®cir‘ÿ}'cle‘‰ffŽ“ptrŽ‘9??«(–ª®),‘§ZÏget‘‰ffŽ–®el‘‚Ølipse‘‰ffŽ“ptrŽ‘Aܦ«(“),‘§ZÏget‘‰ffŽ–®p‘ÿ}'ath‘‰ffŽ“ptrŽ‘8êâ«(“),‘§ZÏget‘‰ffŽ›®r–ÿ}'e“ctangle‘‰ffŽ˜ptrŽ‘Lúz«(“),‘§Zand‘cÀÏget‘‰ffŽ›®r–ÿ}'e“g‘‰ffŽ˜p“olygon‘‰ffŽ˜ptrŽ‘W ë«(“)–cÀall“returnŽ¡ÂconstŽ‘¤ð«pGoinš¸ãters–Ï£to“ÂShapQÇeŽ‘"»°«,‘î6ÂCircleŽ‘"Qb«,‘î6ÂEllipseŽ‘%׫,–î6etc.‘à±Therefore,“they–Ï£m˜ust“bGe“in˜v˜ok˜ed“in“suc˜h“a“w˜a˜y‘ÿ*ª,‘î6that“theŽ¡ÂconstŽ‘뜫quali er–Ois“not“discarded.‘\ÅF‘ÿ*ªor“example,›"êfollo¸ãwing“ÂDoQÇdecahedronŽ‘Nì,±dŽ‘T ž«(ÏoriginŽ‘ö!±;‘ª¨«5Ž‘ª©);,˜t•¸ãw“o›Ow“a“ys˜of˜in“v“okingŽ¡Ïget‘‰ffŽ›®r–ÿ}'e“g‘‰ffŽ˜p“olygon‘‰ffŽ˜ptrŽ–R¦+«(‘ª®)›UUare:‘qÇÂconstŽ‘"œiRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘gpr·Ž‘lpsÏptrŽ‘}tR«=‘DZdŽ‘ûŠ:Ïget‘‰ffŽ›®r–ÿ}'e“g‘‰ffŽ˜p“olygon‘‰ffŽ˜ptrŽ“«(5Ž‘);˜andŽ¡ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘DÔ ±AŽ‘O"«=‘Ç·Ž‘Ç±dŽ‘ û‹:Ïget‘‰ffŽ›®r–ÿ}'e“g‘‰ffŽ˜p“olygon‘‰ffŽ˜ptrŽ‘R¦+«(5Ž‘);.ŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.05.09.«]Ž‘Y;Changed–UUthe“names“of“Ïget‘‰ffŽ‘®shap‘ÿ}'eŽ‘,O«(›ª®),“Ïget‘‰ffŽ‘®cir‘ÿ}'cleŽ‘+ìï«(˜),“Ïget‘‰ffŽ‘®el‘‚ØlipseŽ‘/âü«(˜),“Ïget‘‰ffŽ‘®p‘ÿ}'athŽ‘&õ@«(˜),Ž¡Ïget‘‰ffŽ‘®r–ÿ}'e“ctangleŽ‘7«{«(›ª®),–UUand“Ïget‘‰ffŽ›®r–ÿ}'e“g‘‰ffŽ˜p“olygonŽ‘EWã«(˜)“to“Ïget‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ‘<ö¹«(˜),“Ïget‘‰ffŽ–®cir‘ÿ}'cle‘‰ffŽ“ptrŽ‘<””«(˜),“Ïget‘‰ffŽ–®el‘‚Ølipse‘‰ffŽ“ptrŽ‘@Š¡«(˜),“Ïget‘‰ffŽ–®p‘ÿ}'ath‘‰ffŽ“ptrŽ‘7˜Ý«(˜),Ž¡Ïget‘‰ffŽ›®r–ÿ}'e“ctangle‘‰ffŽ˜ptrŽ‘HS «(–ª®),›Fand‘¶Ïget‘‰ffŽ›®r–ÿ}'e“g‘‰ffŽ˜p“olygon‘‰ffŽ˜ptrŽ‘W\A«(“).‘” The–¶names“without“\‘‰ffŽ‘®ÏptrŽ‘êÚ«"“w¸ãere“confusing,˜bGecause“theyŽ¡didn't–UUmakš¸ãe“clear“that“the“functions“returned“pGoin˜ters.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽŸ1308.‘ üGet‘ÕTcen®9ter.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +·gŽŸÂ1312.› üReturning–ÕTelemen®9ts“and“information.˜«[¬LDF‘T2003.04.11.«]Ž‘Zˆ6The–UUfunctions“Ïget‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ‘<ö¹«(‘ª®),Ž¡Ïget‘‰ffŽ–®cir‘ÿ}'cle‘‰ffŽ“ptrŽ‘9??«(–ª®),‘§ZÏget‘‰ffŽ–®el‘‚Ølipse‘‰ffŽ“ptrŽ‘Aܦ«(“),‘§ZÏget‘‰ffŽ–®p‘ÿ}'ath‘‰ffŽ“ptrŽ‘8êâ«(“),‘§ZÏget‘‰ffŽ›®r–ÿ}'e“ctangle‘‰ffŽ˜ptrŽ‘Lúz«(“),‘§Zand‘cÀÏget‘‰ffŽ›®r–ÿ}'e“g‘‰ffŽ˜p“olygon‘‰ffŽ˜ptrŽ‘W ë«(“)–cÀall“returnŽ¡ÂconstŽ‘¤ð«pGoinš¸ãters–Ï£to“ÂShapQÇeŽ‘"»°«,‘î6ÂCircleŽ‘"Qb«,‘î6ÂEllipseŽ‘%׫,–î6etc.‘à±Therefore,“they–Ï£m˜ust“bGe“in˜v˜ok˜ed“in“suc˜h“a“w˜a˜y‘ÿ*ª,‘î6that“theŽ¡ÂconstŽ‘뜫quali er–Ois“not“discarded.‘\ÅF‘ÿ*ªor“example,›"êfollo¸ãwing“ÂDoQÇdecahedronŽ‘Nì,±dŽ‘T ž«(ÏoriginŽ‘ö!±;‘ª¨«5Ž‘ª©);,˜t•¸ãw“o›Ow“a“ys˜of˜in“v“okingŽ¡Ïget‘‰ffŽ›®r–ÿ}'e“g‘‰ffŽ˜p“olygon‘‰ffŽ˜ptrŽ–R¦+«(‘ª®)›UUare:‘qÇÂconstŽ‘"œiRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘gpr·Ž‘lpsÏptrŽ‘}tR«=‘DZdŽ‘ûŠ:Ïget‘‰ffŽ›®r–ÿ}'e“g‘‰ffŽ˜p“olygon‘‰ffŽ˜ptrŽ“«(5Ž‘);˜andŽ¡ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘DÔ ±AŽ‘O"«=‘Ç·Ž‘Ç±dŽ‘ û‹:Ïget‘‰ffŽ›®r–ÿ}'e“g‘‰ffŽ˜p“olygon‘‰ffŽ˜ptrŽ‘R¦+«(5Ž‘);.ŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.05.09.«]Ž‘Y;Changed–UUthe“names“of“Ïget‘‰ffŽ‘®shap‘ÿ}'eŽ‘,O«(›ª®),“Ïget‘‰ffŽ‘®cir‘ÿ}'cleŽ‘+ìï«(˜),“Ïget‘‰ffŽ‘®el‘‚ØlipseŽ‘/âü«(˜),“Ïget‘‰ffŽ‘®p‘ÿ}'athŽ‘&õ@«(˜),Ž¡Ïget‘‰ffŽ‘®r–ÿ}'e“ctangleŽ‘7«{«(›ª®),–UUand“Ïget‘‰ffŽ›®r–ÿ}'e“g‘‰ffŽ˜p“olygonŽ‘EWã«(˜)“to“Ïget‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ‘<ö¹«(˜),“Ïget‘‰ffŽ–®cir‘ÿ}'cle‘‰ffŽ“ptrŽ‘<””«(˜),“Ïget‘‰ffŽ–®el‘‚Ølipse‘‰ffŽ“ptrŽ‘@Š¡«(˜),“Ïget‘‰ffŽ–®p‘ÿ}'ath‘‰ffŽ“ptrŽ‘7˜Ý«(˜),Ž¡Ïget‘‰ffŽ›®r–ÿ}'e“ctangle‘‰ffŽ˜ptrŽ‘HS «(–ª®),›Fand‘¶Ïget‘‰ffŽ›®r–ÿ}'e“g‘‰ffŽ˜p“olygon‘‰ffŽ˜ptrŽ‘W\A«(“).‘” The–¶names“without“\‘‰ffŽ‘®ÏptrŽ‘êÚ«"“w¸ãere“confusing,˜bGecause“theyŽ¡didn't–UUmakš¸ãe“clear“that“the“functions“returned“pGoin˜ters.ަŸüÈ„`ÕÁGŽŽŸÂ1313.‘ üGet‘ÕTcen®9ter.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.05.06.«]Ž‘Y;Added–UUthis“function.Ž¡‘ -[¬LDF‘T2003.08.10.«]Ž‘Y;Made–UUthis“function“ÂconstŽ‘*¢«.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·Ž¡‘ -ÂvirtualŽ‘/ÔconstŽ‘M¸vP•®9oin“tŽ‘l¨«&Ž‘to1Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ’ ¬x«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹‡Ÿä Šn ý‘ì·x«1309–­3DLDFPRÃŽG’#â'GET‘ÕXCENTER“«391Ž €n ý•@PÂ1309.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·ޤ ‘ +[¬LDF‘T2003.08.10.«]Ž‘Y;Made–UUthis“function“ÂconstŽ‘*¢«.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·Ž¡‘ +ÂvirtualŽ‘/ÔconstŽ‘M¸vP•®9oin“tŽ‘l¨«&Ž‘to1Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ’ ¬x«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹‹ Šn ý‘ì·x«1314–­3DLDFPRÃŽG’#â'GET‘ÕXCENTER“«395Ž €n ý•@PÂ1314.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·ޤ ‘ ÂconstŽ‘(*£P•®9oin“tŽ‘G@«&Ž‘Ná^ÂSolidŽ‘i_9«::‘Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ‘-=K«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïc‘ÿ}'enterŽ‘SðG«;Ž¡‘ -·gŽŸÂ1310.‘ üGetting‘ÕTShapQÇes.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.04.30.«]Ž‘Y;Changed–UUthe“functions“Ïget‘‰ffŽ–®cir‘ÿ}'cle‘‰ffŽ“ptrŽ‘<””«(›ª®),“Ïget‘‰ffŽ–®el‘‚Ølipse‘‰ffŽ“ptrŽ‘@Š¡«(˜),“Ïget‘‰ffŽ–®p‘ÿ}'ath‘‰ffŽ“ptrŽ‘7˜Ý«(˜),Ž¡Ïget‘‰ffŽ›®r–ÿ}'e“ctangle‘‰ffŽ˜ptrŽ‘HS «(–ª®),‘T`and‘T"Ïget‘‰ffŽ›®r–ÿ}'e“g‘‰ffŽ˜p“olygon‘‰ffŽ˜ptrŽ‘UúM«(“).›qaThey–T"no“longer“use“Ïget‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ‘<õ†«(‘ª®).˜There's“no“go•Go“d‘T"reasonŽ¡for–UUcasting“pGoinš¸ãters“from“one“t˜ypGe“to“another.‘qÇI“rather“doubt“that“Ïget‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ‘<ö¹«(‘ª®)“is“needed,“an˜yw˜a˜y‘ÿ*ª.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽŸ1311.‘ üGet–%ShapšQÇe“p˜oin®9ter.‘ ü«[¬LDF‘T2003.05.30.«]Ž‘[¬)This–yHfunction“copies“one“of“the“ob‘Ž8jects“on“one“of“theŽ¡v¸ãectors–íSof“ÂShapQÇeŽ‘(Ƴ·Ž‘2´«bšGelonging“to“the“ÂSolidŽ‘k*«,‘SRand“returns“a“p˜oin¸ãter“to“ÂShapQÇeŽ‘(Ƴ«that“p˜oinš¸ãts“to“the“cop˜y‘ÿ*ª.Ž¡Curren•¸ãtly‘ÿ*ª,›Ina‘FtÂSolidŽ‘ +·gŽŸÂ1315.‘ üGetting‘ÕTShapQÇes.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.04.30.«]Ž‘Y;Changed–UUthe“functions“Ïget‘‰ffŽ–®cir‘ÿ}'cle‘‰ffŽ“ptrŽ‘<””«(›ª®),“Ïget‘‰ffŽ–®el‘‚Ølipse‘‰ffŽ“ptrŽ‘@Š¡«(˜),“Ïget‘‰ffŽ–®p‘ÿ}'ath‘‰ffŽ“ptrŽ‘7˜Ý«(˜),Ž¡Ïget‘‰ffŽ›®r–ÿ}'e“ctangle‘‰ffŽ˜ptrŽ‘HS «(–ª®),‘T`and‘T"Ïget‘‰ffŽ›®r–ÿ}'e“g‘‰ffŽ˜p“olygon‘‰ffŽ˜ptrŽ‘UúM«(“).›qaThey–T"no“longer“use“Ïget‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ‘<õ†«(‘ª®).˜There's“no“go•Go“d‘T"reasonŽ¡for–UUcasting“pGoinš¸ãters“from“one“t˜ypGe“to“another.‘qÇI“rather“doubt“that“Ïget‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ‘<ö¹«(‘ª®)“is“needed,“an˜yw˜a˜y‘ÿ*ª.ަŸüÈ„`ÕÁGŽŽŸÂ1316.‘ üGet–%ShapšQÇe“p˜oin®9ter.‘ ü«[¬LDF‘T2003.05.30.«]Ž‘[¬)This–yHfunction“copies“one“of“the“ob‘Ž8jects“on“one“of“theŽ¡v¸ãectors–íSof“ÂShapQÇeŽ‘(Ƴ·Ž‘2´«bšGelonging“to“the“ÂSolidŽ‘k*«,‘SRand“returns“a“p˜oin¸ãter“to“ÂShapQÇeŽ‘(Ƴ«that“p˜oinš¸ãts“to“the“cop˜y‘ÿ*ª.Ž¡Curren•¸ãtly‘ÿ*ª,›Ina‘FtÂSolidŽ‘ ¿«con“tains–Ftthe“v¸ãectors“Ïcir‘ÿ}'clesŽ‘ÒØ«,˜Ïel‘‚ØlipsesŽ‘#Ëß«,˜Ïp‘ÿ}'athsŽ‘Ú«,˜Ïr–ÿ}'e“ctanglesŽ‘.鳫,˜and“Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘99Ä«.‘lÑThe“argumen¸ãtŽ¡Ïshap–ÿ}'e‘‰ffŽ‘®typ“eŽ‘1öØ«indicates–"whicš¸ãh“v˜ector“should“bšGe“accessed.‘Ø Normally‘ÿ*ª,‘UFthe“corresp˜onding“ÂpublicŽ‘'‚staticŽ‘G—›constŽŽ¡«data–mmem¸ãbšGers“ÝCIRCLEŽ‘$só«,‘³¯ÝELLIPSEŽ‘)ú«,‘³¯ÝPATHŽ‘: «,‘³¯ÝRECTANGLEŽ‘4yü«,‘³¯or“ÝREG_POLYGONŽ‘C!«should“b˜e“passed“as“the“Ïshap–ÿ}'e‘‰ffŽ‘®typ“eŽŽ¡«argumen¸ãt,–UUe.g.,“ÂCircleŽ‘% Ö·Ž‘* ×Ïc‘‰ffŽ‘®ptrŽ‘Cç«=“Âstaticu½‰™šs4Ž‘ÔwcastŽ‘7Ò÷·hÂCircleŽ‘!¸·Ž‘&¸‚i«(Ïget‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ‘9¡d«(ÂSolidŽ‘}Û«::Ž‘! ÝCIRCLEŽ‘Ao±;‘ª¨«3Ž‘ª©)).Ž¡‘ -[¬LDF‘T2003.04.30.«]Ž‘Y;This–UUfunction“wš¸ãas“mainly“in˜tended“for“use“in“the“functions“Ïget‘‰ffŽ–®cir‘ÿ}'cle‘‰ffŽ“ptrŽ‘<””«(‘ª®),Ž¡Ïget‘‰ffŽ–®el‘‚Ølipse‘‰ffŽ“ptrŽ‘=5L«(‘ª®),–Ãetc.,“and–ž†wš¸ãas“not“in˜tended“for“use“in“user“coGde.‘4ØI‘žWno˜w“doubt“whether“this“function“is“neededŽ¡at–UUall,“espšGecially“since“it“is“no“longer“used“in“the“functions“men¸ãtioned“ab˜o•¸ãv“e.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +[¬LDF‘T2003.04.30.«]Ž‘Y;This–UUfunction“wš¸ãas“mainly“in˜tended“for“use“in“the“functions“Ïget‘‰ffŽ–®cir‘ÿ}'cle‘‰ffŽ“ptrŽ‘<””«(‘ª®),Ž¡Ïget‘‰ffŽ–®el‘‚Ølipse‘‰ffŽ“ptrŽ‘=5L«(‘ª®),–Ãetc.,“and–ž†wš¸ãas“not“in˜tended“for“use“in“user“coGde.‘4ØI‘žWno˜w“doubt“whether“this“function“is“neededŽ¡at–UUall,“espšGecially“since“it“is“no“longer“used“in“the“functions“men¸ãtioned“ab˜o•¸ãv“e.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.04.11.«]Ž‘Y;Added–UUthis“function.Ž¡‘ [¬LDF‘T2003.04.30.«]Ž‘XM5Noš¸ãw–šOusing“Ïget‘‰ffŽ‘®c‘ÿ}'opyŽ‘'^«(‘ª®)“instead“of“Âstaticu½‰™šs4Ž‘ÔwcastŽ‘7ñ·hÂconstŽ‘oœShapQÇeŽ‘>õø·Ž‘Cõùi«(‘ª¨).‘3pThe“w˜a˜y“it“w˜as“causedŽ¡compilation–UUerrors“under“T‘ÿ*ªru64“(DEC“ALPHA).Ž¡‘ -[¬LDF‘T2003.05.30.«]Ž‘XïChanged–<return“v‘ÿqÇalue“to“ÂShapQÇeŽ‘%dG·Ž‘- e«from“ÂconstŽ‘!M‡ShapQÇeŽ‘Cu±·Ž‘Hu²«.‘i_The“w•¸ãa“y–<it“w¸ãas“bGefore“causedŽ¡\Memory–UUfault"“errors“at“run-time.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·Ž¡‘ -ÂvirtualŽ‘/ÔShapQÇeŽ‘QÏ6·Ž‘VÏ7Ïget‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ’p›«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,SÏshap–ÿ}'e‘‰ffŽ‘®typ“eŽ’š±;‘ª¨ÂconstŽ‘ÕJunsignedŽ‘P XshortŽ‘mÖû±sŽ‘r†û«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹ˆ®å Šn ý‘ì«392›­GET–ÕXSHAPE“POINTER’ã3DLDFPRÃŽG˜·x«1312Ž €n ý•@PÂ1312.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·ޤ ‘ +[¬LDF‘T2003.05.30.«]Ž‘XïChanged–<return“v‘ÿqÇalue“to“ÂShapQÇeŽ‘%dG·Ž‘- e«from“ÂconstŽ‘!M‡ShapQÇeŽ‘Cu±·Ž‘Hu²«.‘i_The“w•¸ãa“y–<it“w¸ãas“bGefore“causedŽ¡\Memory–UUfault"“errors“at“run-time.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·Ž¡‘ +ÂvirtualŽ‘/ÔShapQÇeŽ‘QÏ6·Ž‘VÏ7Ïget‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ’p›«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,SÏshap–ÿ}'e‘‰ffŽ‘®typ“eŽ’š±;‘ª¨ÂconstŽ‘ÕJunsignedŽ‘P XshortŽ‘mÖû±sŽ‘r†û«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹Œ¬< Šn ý‘ì«396›­GET–ÕXSHAPE“POINTER’ã3DLDFPRÃŽG˜·x«1317Ž €n ý•@PÂ1317.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·ޤ ‘ ÂShapQÇeŽ‘,Ac·Ž‘1AdÂSolidŽ‘K¿?«::‘Ïget‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ‘:¡h«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,SÏshap–ÿ}'e‘‰ffŽ‘®typ“eŽ’š±;‘ª¨ÂconstŽ‘ÕJunsignedŽ‘P XshortŽ‘mÖû±sŽ‘r†û«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"EnteringÈ ÝSolid::getŽ‘kÆÜ_shape_ptr().\n"Ž’Ã,·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(Ïshap–ÿ}'e‘‰ffŽ‘®typ“eŽ‘0›Ú·‘ÇÝCIRCLEŽ‘"Ín«)‘·fŽ¡‘ÂifŽ‘)´û«(±sŽ‘w<‘ÇÏcir‘ÿ}'clesŽ‘S|±:ÏsizeŽ‘\«(‘ª¨))‘·fŽ¡‘(ÂreturnŽ‘Kæ¾Ïcir‘ÿ}'clesŽ‘hs"«[±sŽ‘°«]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®c‘ÿ}'opyŽ‘(õ«(‘ª¨);Ž¡‘·gŽ¡‘ÂelseŽ‘5Øâ·fŽ¡‘(Ïc‘ÿ}'errŽ‘=|·‘ÇÝ"ERROR!È ÝInÈ ÝSolid::geŽ‘kÆÜt_shape_ptr():\n"Ž’ÈT)·‘ÇÝ"sÈ Ý("Ž‘ T‰·‘DZsŽ‘ >0·‘ÇÝ")È Ý>È Ýcircles.size()È Ž‘kÆÜÝ("Ž‘y”V·Ž¡‘<Ïcir‘ÿ}'clesŽ‘XŒj±:ÏsizeŽ‘\«(‘ª¨)–Ç·“Ý")\nReturningÈ ÝaÈ ÝnullŽ‘kÆÜÈ ÝpointerÈ Ý(0).\n\n"Ž’Í”&·“Ï ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾staticu½‰™šs4Ž‘ÔwcastŽ’€d`·hÂShapQÇeŽ‘"Ab·Ž‘'Aci«(0Ž‘);Ž¡‘·gŽ¡‘gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ïshap–ÿ}'e‘‰ffŽ‘®typ“eŽ‘0›Ú·‘ÇÝELLIPSEŽ‘( k«)‘·fŽ¡‘ÂifŽ‘)´û«(±sŽ‘w<‘ÇÏel‘‚ØlipsesŽ‘#I‰±:ÏsizeŽ‘\«(‘ª¨))‘·fŽ¡‘(ÂreturnŽ‘Kæ¾Ïel‘‚ØlipsesŽ‘li/«[±sŽ‘°«]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®c‘ÿ}'opyŽ‘(õ«(‘ª¨);Ž¡‘·gŽ¡‘ÂelseŽ‘5Øâ·fŽ¡‘(Ïc‘ÿ}'errŽ‘A è·‘T>Ý"ERROR!È ÝInÈ ÝSolid::geŽ‘oTt_shape_ptr():\n"Ž’Ïnu·‘T>Ý"sÈ Ý("Ž‘'nÕ·Ž¡‘<±sŽ‘GÎì·‘æÝ")È Ý>È Ýellipses.size()Ž‘pªÈ Ý("Ž’‡ƒï·‘æÏel‘‚ØlipsesŽ‘'¡W±:ÏsizeŽ‘\«(‘ª¨)‘æ·Ž¡‘<Ý")\nReturningÈ ÝaÈ ÝnullŽ’¤ÿÊÈ ÝpointerÈ Ý(0).\n\n"Ž’Í·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾staticu½‰™šs4Ž‘ÔwcastŽ’€d`·hÂShapQÇeŽ‘"Ab·Ž‘'Aci«(0Ž‘);Ž¡‘·gŽ¡‘gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ïshap–ÿ}'e‘‰ffŽ‘®typ“eŽ‘0›Ú·‘ÇÝPATHŽ‘Mt«)‘·fŽ¡‘ÂifŽ‘)´û«(±sŽ‘w<‘ÇÏp‘ÿ}'athsŽ‘Wű:ÏsizeŽ‘\«(‘ª¨))‘·fŽ¡‘(ÂreturnŽ‘Kæ¾Ïp‘ÿ}'athsŽ‘cwk«[±sŽ‘°«]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®c‘ÿ}'opyŽ‘(õ«(‘ª¨);Ž¡‘·gŽ¡‘ÂelseŽ‘5Øâ·fŽ¡‘(Ïc‘ÿ}'errŽ‘=•$·‘ßzÝ"ERROR!È ÝInÈ ÝSolid::geŽ‘kß>t_shape_ptr():\n"Ž’È„í·‘ßzÝ"sÈ Ý("Ž‘ …M·‘ßz±sŽ‘ -nô·‘ßzÝ")È Ý>È Ýpaths.size()È Ý("Ž‘oE ·Ž¡‘<Ïp‘ÿ}'athsŽ‘S³±:ÏsizeŽ‘\«(‘ª¨)–Ç·“Ý")\nReturningÈ ÝaÈ ÝnullŽ‘kÆÜÈ ÝpointerÈ Ý(0).\n\n"Ž’Í”&·“Ï ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾staticu½‰™šs4Ž‘ÔwcastŽ’€d`·hÂShapQÇeŽ‘"Ab·Ž‘'Aci«(0Ž‘);Ž¡‘·gŽ¡‘gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ïshap–ÿ}'e‘‰ffŽ‘®typ“eŽ‘0›Ú·‘ÇÝRECTANGLEŽ‘2e«)‘·fŽ¡‘ÂifŽ‘)´û«(±sŽ‘w<‘ÇÏr–ÿ}'e“ctanglesŽ‘.g]±:ÏsizeŽ‘\«(‘ª¨))‘·fŽ¡‘(ÂreturnŽ‘Kæ¾Ïr–ÿ}'e“ctanglesŽ‘w‡«[±sŽ‘°«]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®c‘ÿ}'opyŽ‘(õ«(‘ª¨);Ž¡‘·gŽ¡‘ÂelseŽ‘5Øâ·fŽ¡‘(Ïc‘ÿ}'errŽ‘A è·‘T>Ý"ERROR!È ÝInÈ ÝSolid::geŽ‘oTt_shape_ptr():\n"Ž’Ïnu·‘T>Ý"sÈ Ý("Ž‘'nÕ·Ž¡‘<±sŽ‘GGô·‘—îÝ")È Ý>È Ýrectangles.sizeŽ‘o—²()È Ý("Ž’õù·‘—îÏr–ÿ}'e“ctanglesŽ‘283±:ÏsizeŽ‘\«(‘ª¨)‘—î·Ž¡‘<Ý")\nReturningÈ ÝaÈ ÝnullŽ’¤ÿÊÈ ÝpointerÈ Ý(0).\n\n"Ž’Í·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾staticu½‰™šs4Ž‘ÔwcastŽ’€d`·hÂShapQÇeŽ‘"Ab·Ž‘'Aci«(0Ž‘);Ž¡‘·gŽ¡‘gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ïshap–ÿ}'e‘‰ffŽ‘®typ“eŽ‘0›Ú·‘ÇÝREG_POLYGONŽ‘= _«)‘·fŽ¡‘ÂifŽ‘)´û«(±sŽ‘w<‘ÇÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘8ºh±:ÏsizeŽ‘\«(‘ª¨))‘·fŽŽŽŒ‹‰½¯ Šn ý‘ì·x«1312›­3DLDFPRÃŽG’ãGET–ÕXSHAPE“POINTER˜«393Ž €n ý•@P‘(ÂreturnŽ‘Kæ¾Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ’Ú«[±sŽ‘°«]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®c‘ÿ}'opyŽ‘(õ«(‘ª¨);ޤ ‘·gŽ¡‘ÂelseŽ‘5Øâ·fŽ¡‘(Ïc‘ÿ}'errŽ‘A è·‘T>Ý"ERROR!È ÝInÈ ÝSolid::geŽ‘oTt_shape_ptr():\n"Ž’Ïnu·‘T>Ý"sÈ Ý("Ž‘'nÕ·Ž¡‘<±sŽ‘FÅî·‘èÝ")È Ý>È Ýreg_polygons.siŽ‘o¬ze()È Ý("Ž’šqç·‘èÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘< 8±:ÏsizeŽ‘\«(‘ª¨)‘è·Ž¡‘<Ý")\nReturningÈ ÝaÈ ÝnullŽ’¤ÿÊÈ ÝpointerÈ Ý(0).\n\n"Ž’Í·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾staticu½‰™šs4Ž‘ÔwcastŽ’€d`·hÂShapQÇeŽ‘"Ab·Ž‘'Aci«(0Ž‘);Ž¡‘·gŽ¡‘gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘Ïc‘ÿ}'errŽ‘3ÓK·‘¢Ý"ERROR!È ÝInÈ ÝSolid::geŽ‘lft_shape_ptr():\n"Ž’É=·‘¢Ý"InvalidÈ ÝvalueÈ ÝforÈ ÝsŽ‘lfhape_type:È Ý"Ž’®ÁL·Ž¡‘2Ïshap–ÿ}'e‘‰ffŽ‘®typ“eŽ‘b›ß·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÝ"ReturningÈ ÝaÈ ÝnullÈ ÝpoŽ‘kÆÜinterÈ Ý(0).\n\n"Ž’½Ô/·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½staticu½‰™šs4Ž‘ÔwcastŽ‘vd_·hÂShapQÇeŽ‘"Ab·Ž‘'Aci«(0Ž‘);Ž¡‘·gŽ¡‘ -gŽ©Â1313.‘ üGet–ÕTCircle“pQÇoin®9ter.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +nô·‘ßzÝ")È Ý>È Ýpaths.size()È Ý("Ž‘oE ·Ž¡‘<Ïp‘ÿ}'athsŽ‘S³±:ÏsizeŽ‘\«(‘ª¨)–Ç·“Ý")\nReturningÈ ÝaÈ ÝnullŽ‘kÆÜÈ ÝpointerÈ Ý(0).\n\n"Ž’Í”&·“Ï ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾staticu½‰™šs4Ž‘ÔwcastŽ’€d`·hÂShapQÇeŽ‘"Ab·Ž‘'Aci«(0Ž‘);Ž¡‘·gŽ¡‘gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ïshap–ÿ}'e‘‰ffŽ‘®typ“eŽ‘0›Ú·‘ÇÝRECTANGLEŽ‘2e«)‘·fŽ¡‘ÂifŽ‘)´û«(±sŽ‘w<‘ÇÏr–ÿ}'e“ctanglesŽ‘.g]±:ÏsizeŽ‘\«(‘ª¨))‘·fŽ¡‘(ÂreturnŽ‘Kæ¾Ïr–ÿ}'e“ctanglesŽ‘w‡«[±sŽ‘°«]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®c‘ÿ}'opyŽ‘(õ«(‘ª¨);Ž¡‘·gŽ¡‘ÂelseŽ‘5Øâ·fŽ¡‘(Ïc‘ÿ}'errŽ‘A è·‘T>Ý"ERROR!È ÝInÈ ÝSolid::geŽ‘oTt_shape_ptr():\n"Ž’Ïnu·‘T>Ý"sÈ Ý("Ž‘'nÕ·Ž¡‘<±sŽ‘GGô·‘—îÝ")È Ý>È Ýrectangles.sizeŽ‘o—²()È Ý("Ž’õù·‘—îÏr–ÿ}'e“ctanglesŽ‘283±:ÏsizeŽ‘\«(‘ª¨)‘—î·Ž¡‘<Ý")\nReturningÈ ÝaÈ ÝnullŽ’¤ÿÊÈ ÝpointerÈ Ý(0).\n\n"Ž’Í·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾staticu½‰™šs4Ž‘ÔwcastŽ’€d`·hÂShapQÇeŽ‘"Ab·Ž‘'Aci«(0Ž‘);Ž¡‘·gŽ¡‘gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ïshap–ÿ}'e‘‰ffŽ‘®typ“eŽ‘0›Ú·‘ÇÝREG_POLYGONŽ‘= _«)‘·fŽ¡‘ÂifŽ‘)´û«(±sŽ‘w<‘ÇÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘8ºh±:ÏsizeŽ‘\«(‘ª¨))‘·fŽŽŽŒ‹º± Šn ý‘ì·x«1317›­3DLDFPRÃŽG’ãGET–ÕXSHAPE“POINTER˜«397Ž €n ý•@P‘(ÂreturnŽ‘Kæ¾Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ’Ú«[±sŽ‘°«]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®c‘ÿ}'opyŽ‘(õ«(‘ª¨);ޤ ‘·gŽ¡‘ÂelseŽ‘5Øâ·fŽ¡‘(Ïc‘ÿ}'errŽ‘A è·‘T>Ý"ERROR!È ÝInÈ ÝSolid::geŽ‘oTt_shape_ptr():\n"Ž’Ïnu·‘T>Ý"sÈ Ý("Ž‘'nÕ·Ž¡‘<±sŽ‘FÅî·‘èÝ")È Ý>È Ýreg_polygons.siŽ‘o¬ze()È Ý("Ž’šqç·‘èÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘< 8±:ÏsizeŽ‘\«(‘ª¨)‘è·Ž¡‘<Ý")\nReturningÈ ÝaÈ ÝnullŽ’¤ÿÊÈ ÝpointerÈ Ý(0).\n\n"Ž’Í·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾staticu½‰™šs4Ž‘ÔwcastŽ’€d`·hÂShapQÇeŽ‘"Ab·Ž‘'Aci«(0Ž‘);Ž¡‘·gŽ¡‘gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘Ïc‘ÿ}'errŽ‘3ÓK·‘¢Ý"ERROR!È ÝInÈ ÝSolid::geŽ‘lft_shape_ptr():\n"Ž’É=·‘¢Ý"InvalidÈ ÝvalueÈ ÝforÈ ÝsŽ‘lfhape_type:È Ý"Ž’®ÁL·Ž¡‘2Ïshap–ÿ}'e‘‰ffŽ‘®typ“eŽ‘b›ß·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÝ"ReturningÈ ÝaÈ ÝnullÈ ÝpoŽ‘kÆÜinterÈ Ý(0).\n\n"Ž’½Ô/·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½staticu½‰™šs4Ž‘ÔwcastŽ‘vd_·hÂShapQÇeŽ‘"Ab·Ž‘'Aci«(0Ž‘);Ž¡‘·gŽ¡‘ +gŽ©Â1318.‘ üGet–ÕTCircle“pQÇoin®9ter.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.04.11.«]Ž‘Y;Added–UUthis“function.Ž¡‘ -[¬LDF‘T2003.04.30.«]Ž‘Y;Changed–UUthis“function,“so“that“it“no“longer“uses“Ïget‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ‘<ö¹«(‘ª®).ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·ŽŸ ‘ -ÂvirtualŽ‘/ÔconstŽ‘M¸vCircleŽ‘op÷·Ž‘tpøÏget‘‰ffŽ–®cir‘ÿ}'cle‘‰ffŽ“ptrŽ’­°7«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽ‘*¢«;ަÂ1314.Ž¡·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·ޤ ‘ +[¬LDF‘T2003.04.30.«]Ž‘Y;Changed–UUthis“function,“so“that“it“no“longer“uses“Ïget‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ‘<ö¹«(‘ª®).ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·ŽŸ ‘ +ÂvirtualŽ‘/ÔconstŽ‘M¸vCircleŽ‘op÷·Ž‘tpøÏget‘‰ffŽ–®cir‘ÿ}'cle‘‰ffŽ“ptrŽ’­°7«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽ‘*¢«;ަÂ1319.Ž¡·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·ޤ ‘ ÂconstŽ‘(*£CircleŽ‘Iã$·Ž‘Nã%ÂSolidŽ‘ia«::‘Ïget‘‰ffŽ–®cir‘ÿ}'cle‘‰ffŽ“ptrŽ‘:?C«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂifŽ‘´ú«(Ïcir‘ÿ}'clesŽ‘Œd±:ÏsizeŽ‘\«(‘ª¨)–DZ>“sŽ‘w«)‘·fŽ¡‘ÂreturnŽ‘Aæ½Ïcir‘ÿ}'clesŽ‘^s!«[±sŽ‘°«];Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘ÂreturnŽ‘Aæ½staticu½‰™šs4Ž‘ÔwcastŽ‘vd_·hÂconstŽ‘*¢CircleŽ‘?ã#·Ž‘Dã$i«(0Ž‘);Ž¡‘·gŽ¡‘ -gަÂ1315.‘ üGet–ÕTEllipse“pQÇoin®9ter.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +gަÂ1320.‘ üGet–ÕTEllipse“pQÇoin®9ter.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.04.11.«]Ž‘Y;Added–UUthis“function.Ž¡‘ -[¬LDF‘T2003.04.30.«]Ž‘Y;Changed–UUthis“function,“so“that“it“no“longer“uses“Ïget‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ‘<ö¹«(‘ª®).ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·ŽŸ ‘ -ÂvirtualŽ‘/ÔconstŽ‘M¸vEllipseŽ‘rö¤·Ž‘wö¥Ïget‘‰ffŽ–®el‘‚Ølipse‘‰ffŽ“ptrŽ’µ+ñ«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹ŠÌj Šn ý‘ì«394›­GET–ÕXÂELLIPSE“­POINTER’íö3DLDFPRÃŽG˜·x«1316Ž €n ý•@PÂ1316.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·ޤ ‘ +[¬LDF‘T2003.04.30.«]Ž‘Y;Changed–UUthis“function,“so“that“it“no“longer“uses“Ïget‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ‘<ö¹«(‘ª®).ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·ŽŸ ‘ +ÂvirtualŽ‘/ÔconstŽ‘M¸vEllipseŽ‘rö¤·Ž‘wö¥Ïget‘‰ffŽ–®el‘‚Ølipse‘‰ffŽ“ptrŽ’µ+ñ«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹ŽÉl Šn ý‘ì«398›­GET–ÕXÂELLIPSE“­POINTER’íö3DLDFPRÃŽG˜·x«1321Ž €n ý•@PÂ1321.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·ޤ ‘ ÂconstŽ‘(*£EllipseŽ‘MhÑ·Ž‘RhÒÂSolidŽ‘læ­«::‘Ïget‘‰ffŽ–®el‘‚Ølipse‘‰ffŽ“ptrŽ‘>5P«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂifŽ‘´ú«(Ïel‘‚ØlipsesŽ‘ ‚q±:ÏsizeŽ‘\«(‘ª¨)–DZ>“sŽ‘w«)‘·fŽ¡‘ÂreturnŽ‘Aæ½Ïel‘‚ØlipsesŽ‘bi.«[±sŽ‘°«];Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘ÂreturnŽ‘Aæ½staticu½‰™šs4Ž‘ÔwcastŽ‘vd_·hÂconstŽ‘*¢EllipseŽ‘ChзŽ‘HhÑi«(0Ž‘);Ž¡‘·gŽ¡‘ -gŽŸÂ1317.‘ üGet–ÕTPš®9ath“pQÇoin˜ter.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +gŽŸÂ1322.‘ üGet–ÕTPš®9ath“pQÇoin˜ter.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.04.11.«]Ž‘Y;Added–UUthis“function.Ž¡‘ -[¬LDF‘T2003.04.30.«]Ž‘Y;Changed–UUthis“function,“so“that“it“no“longer“uses“Ïget‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ‘<ö¹«(‘ª®).ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·Ž¡‘ -ÂvirtualŽ‘/ÔconstŽ‘M¸vP®9athŽ‘iŸ/·Ž‘nŸ0Ïget‘‰ffŽ–®p‘ÿ}'ath‘‰ffŽ“ptrŽ’¢â¸«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽ‘*¢«;ŽŸÂ1318.ަ·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·Ž¡‘ +[¬LDF‘T2003.04.30.«]Ž‘Y;Changed–UUthis“function,“so“that“it“no“longer“uses“Ïget‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ‘<ö¹«(‘ª®).ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·Ž¡‘ +ÂvirtualŽ‘/ÔconstŽ‘M¸vP®9athŽ‘iŸ/·Ž‘nŸ0Ïget‘‰ffŽ–®p‘ÿ}'ath‘‰ffŽ“ptrŽ’¢â¸«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽ‘*¢«;ŽŸÂ1323.ަ·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·Ž¡‘ ÂconstŽ‘(*£P®9athŽ‘D\·Ž‘I]ÂSolidŽ‘c8«::‘Ïget‘‰ffŽ–®p‘ÿ}'ath‘‰ffŽ“ptrŽ‘5CŒ«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂifŽ‘´ú«(Ïp‘ÿ}'athsŽ‘­±:ÏsizeŽ‘\«(‘ª¨)–DZ>“sŽ‘w«)‘·fŽ¡‘ÂreturnŽ‘Aæ½Ïp‘ÿ}'athsŽ‘Ywj«[±sŽ‘°«];Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘ÂreturnŽ‘Aæ½staticu½‰™šs4Ž‘ÔwcastŽ‘vd_·hÂconstŽ‘*¢P®9athŽ‘:[·Ž‘?\i«(0Ž‘);Ž¡‘·gŽ¡‘ -gŽŸÂ1319.‘ üGet–ÕTRectangle“pQÇoin®9ter.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +gŽŸÂ1324.‘ üGet–ÕTRectangle“pQÇoin®9ter.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.04.11.«]Ž‘Y;Added–UUthis“function.Ž¡‘ -[¬LDF‘T2003.04.30.«]Ž‘Y;Changed–UUthis“function,“so“that“it“no“longer“uses“Ïget‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ‘<ö¹«(‘ª®).ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·Ž¡‘ -ÂvirtualŽ‘/ÔconstŽ‘M¸vRectangleŽ’ƒM`·Ž’ˆMaÏget‘‰ffŽ›®r–ÿ}'e“ctangle‘‰ffŽ˜ptrŽ’Ð «(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹‹×Ú Šn ý‘ì·x«1320›­3DLDFPRÃŽG’ÔÇìGET–ÕXÂRECT‘ÿ -«ANGLE“­POINTER˜«395Ž €n ý•@PÂ1320.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·ޤ ‘ +[¬LDF‘T2003.04.30.«]Ž‘Y;Changed–UUthis“function,“so“that“it“no“longer“uses“Ïget‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ‘<ö¹«(‘ª®).ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·Ž¡‘ +ÂvirtualŽ‘/ÔconstŽ‘M¸vRectangleŽ’ƒM`·Ž’ˆMaÏget‘‰ffŽ›®r–ÿ}'e“ctangle‘‰ffŽ˜ptrŽ’Ð «(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹Ô† Šn ý‘ì·x«1325›­3DLDFPRÃŽG’ÔÇìGET–ÕXÂRECT‘ÿ +«ANGLE“­POINTER˜«399Ž €n ý•@PÂ1325.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·ޤ ‘ ÂconstŽ‘(*£RectangleŽ‘]¿·Ž‘b¿ŽÂSolidŽ‘}=i«::‘Ïget‘‰ffŽ›®r–ÿ}'e“ctangle‘‰ffŽ˜ptrŽ‘IS$«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂifŽ‘´ú«(Ïr–ÿ}'e“ctanglesŽ‘+ E±:ÏsizeŽ‘\«(‘ª¨)–DZ>“sŽ‘w«)‘·fŽ¡‘ÂreturnŽ‘Aæ½Ïr–ÿ}'e“ctanglesŽ‘m‡«[±sŽ‘°«];Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘ÂreturnŽ‘Aæ½staticu½‰™šs4Ž‘ÔwcastŽ‘vd_·hÂconstŽ‘*¢RectangleŽ‘S¿Œ·Ž‘X¿i«(0Ž‘);Ž¡‘·gŽ¡‘ -gŽŸÂ1321.‘ üGet–ÕTReg‘°¡‰ffs4Ž‘#ÕPš®9olygon“pQÇoin˜ter.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +gŽŸÂ1326.‘ üGet–ÕTReg‘°¡‰ffs4Ž‘#ÕPš®9olygon“pQÇoin˜ter.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.04.11.«]Ž‘Y;Added–UUthis“function.Ž¡‘ -[¬LDF‘T2003.04.30.«]Ž‘Y;Changed–UUthis“function,“so“that“it“no“longer“uses“Ïget‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ‘<ö¹«(‘ª®).ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·Ž¡‘ -ÂvirtualŽ‘/ÔconstŽ‘M¸vRegu½‰™šs4Ž‘ÔwP®9olygonŽ’’Œ·Ž’—Œ€Ïget‘‰ffŽ›®r–ÿ}'e“g‘‰ffŽ˜p“olygon‘‰ffŽ˜ptrŽ’ê2««(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽ‘*¢«;ŽŸÂ1322.ަ·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·Ž¡‘ +[¬LDF‘T2003.04.30.«]Ž‘Y;Changed–UUthis“function,“so“that“it“no“longer“uses“Ïget‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ‘<ö¹«(‘ª®).ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·Ž¡‘ +ÂvirtualŽ‘/ÔconstŽ‘M¸vRegu½‰™šs4Ž‘ÔwP®9olygonŽ’’Œ·Ž’—Œ€Ïget‘‰ffŽ›®r–ÿ}'e“g‘‰ffŽ˜p“olygon‘‰ffŽ˜ptrŽ’ê2««(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽ‘*¢«;ŽŸÂ1327.ަ·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·Ž¡‘ ÂconstŽ‘(*£Regu½‰™šs4Ž‘ÔwP®9olygonŽ‘lþ¬·Ž‘qþ­ÂSolidŽ’Œ|ˆ«::‘Ïget‘‰ffŽ›®r–ÿ}'e“g‘‰ffŽ˜p“olygon‘‰ffŽ˜ptrŽ‘S¦/«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂifŽ‘´ú«(Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘5óP±:ÏsizeŽ‘\«(‘ª¨)–DZ>“sŽ‘w«)‘·fŽ¡‘ÂreturnŽ‘Aæ½Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘wÚ «[±sŽ‘°«];Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘ÂreturnŽ‘Aæ½staticu½‰™šs4Ž‘ÔwcastŽ‘vd_·hÂconstŽ‘*¢Regu½‰™šs4Ž‘ÔwP®9olygonŽ‘bþ«·Ž‘gþ¬i«(0Ž‘);Ž¡‘·gŽ¡‘ -gŽŸÂ1323.› üGetting– ÍShapQÇe“cen®9ters.˜«[¬LDF‘T2003.04.30.«]Ž‘[—TO–cèDO:›d.I“think˜it˜migh¸ãt˜b•Ge˜p“ossible˜to˜co“de˜theŽ¡functions–UUin“this“section“more“succinctly‘ÿ*ª.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.04.11.«]Ž‘Y;Added–UUthis“section.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽŽŽŒ‹ŒáX Šn ý‘ì«396›­GET–ÕXSHAPE“CENTER’o3DLDFPRÃŽG˜·x«1324Ž €n ý•@PÂ1324.› üGet–7•ShapQÇe“cen®9ter.˜«This–‰afunction“returns“the“cen¸ãter“of“the“ÂCircleŽ‘"ì«,‘ÖdÂEllipseŽ‘&¿=«,‘ÖdÂRectangleŽ‘7ù«,‘Ödorޤ ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘E¼ž«n•¸ãum“bšGer‘=ê±sŽ‘ +Ô«in‘=êÏcir‘ÿ}'clesŽ‘ ÊN«,‘xÏel‘‚ØlipsesŽ‘$ú«,‘xÏr–ÿ}'e“ctanglesŽ‘0S«,–xor‘=êÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘:1:«,“resp˜ectiv¸ãely‘ÿ*ª.‘+…If‘=ê±sŽ‘ +Ô«is–=êlarger“thanŽ¡·hÏve‘ÿ}'ctor‘·i±:‘UUÏsizeŽ‘p±«(‘ª®),–UUan“error“message“is“issued“and“ÝINVALID_POINTŽ‘Kpë«is“returned.Ž¡‘ +gŽŸÂ1328.› üGetting– ÍShapQÇe“cen®9ters.˜«[¬LDF‘T2003.04.30.«]Ž‘[—TO–cèDO:›d.I“think˜it˜migh¸ãt˜b•Ge˜p“ossible˜to˜co“de˜theŽ¡functions–UUin“this“section“more“succinctly‘ÿ*ª.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.04.11.«]Ž‘Y;Added–UUthis“section.ަŸüÈ„`ÕÁGŽŽŽŽŒ‹Ý® Šn ý‘ì«400›­GET–ÕXSHAPE“CENTER’o3DLDFPRÃŽG˜·x«1329Ž €n ý•@PÂ1329.› üGet–7•ShapQÇe“cen®9ter.˜«This–‰afunction“returns“the“cen¸ãter“of“the“ÂCircleŽ‘"ì«,‘ÖdÂEllipseŽ‘&¿=«,‘ÖdÂRectangleŽ‘7ù«,‘Ödorޤ ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘E¼ž«n•¸ãum“bšGer‘=ê±sŽ‘ +Ô«in‘=êÏcir‘ÿ}'clesŽ‘ ÊN«,‘xÏel‘‚ØlipsesŽ‘$ú«,‘xÏr–ÿ}'e“ctanglesŽ‘0S«,–xor‘=êÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘:1:«,“resp˜ectiv¸ãely‘ÿ*ª.‘+…If‘=ê±sŽ‘ +Ô«is–=êlarger“thanŽ¡·hÏve‘ÿ}'ctor‘·i±:‘UUÏsizeŽ‘p±«(‘ª®),–UUan“error“message“is“issued“and“ÝINVALID_POINTŽ‘Kpë«is“returned.Ž¡‘ One–q)of“the“folloš¸ãwing“ÂpublicŽ‘& 'staticŽ‘E„ÔconstŽ‘cËJ«data“mem˜bšGers“of“ÂSolidŽ‘ `)«can“(and“probably“should)“b˜e“used“asŽ¡the‘UUÏshap–ÿ}'e‘‰ffŽ‘®typ“eŽ‘4l«argumen¸ãt:‘qÇÝCIRCLEŽ‘$x«,‘UUÝELLIPSEŽ‘(›¨«,‘UUÝRECTANGLEŽ‘3¢«,–UUand“ÝREG_POLYGONŽ‘=›œ«.Ž¡‘ -!!‘ZNote–¢Æthat“this“function“will“ha•¸ãv“e–¢Æto“bGe“cš¸ãhanged,‘¶"if“new“v˜ectors“of“ÂShapQÇeŽ‘&1™«pGoin˜ters“are“added“to“ÂclassŽŽ¡SolidŽ‘}׫!ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +!!‘ZNote–¢Æthat“this“function“will“ha•¸ãv“e–¢Æto“bGe“cš¸ãhanged,‘¶"if“new“v˜ectors“of“ÂShapQÇeŽ‘&1™«pGoin˜ters“are“added“to“ÂclassŽŽ¡SolidŽ‘}׫!ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.10.16.«]Ž‘Y;Added–UUthis“function.Ž¡‘ [¬LDF‘T2003.04.09.«]Ž‘Y;Mo•¸ãv“ed–UUthis“function“from“ÂP®9olyhedronŽ‘@¸w«to“ÂSolidŽ‘Ó,«.Ž¡‘ [¬LDF‘T2003.04.11.«]Ž‘X-ŸChanged–z¹this“function“from“Ïget‘‰ffŽ–®p›ÿ}'olygon‘‰ffŽ“c˜enterŽ‘RÚ¤«(›ª®)“to“Ïget‘‰ffŽ–®shap›ÿ}'e‘‰ffŽ“c˜enterŽ‘Ièá«(˜).‘(éAdded“the“Âc®9harŽŽ¡«argumenš¸ãt‘Á„Ïshap–ÿ}'e‘‰ffŽ‘®typ“eŽ‘5WÊ«to–Á„indicate“whether“it“should“return“the“cen˜ter“of“a“ÂCircleŽ‘"$°«,‘ÜÂEllipseŽ‘%Åi«,‘ÜÂRectangleŽ‘6%«,‘ÜorŽ¡ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘A~´«.Ž¡‘ -[¬LDF‘T2003.04.11.«]Ž‘Y;Changed–UUthe“Ïshap–ÿ}'e‘‰ffŽ‘®typ“eŽ‘4l«argumen¸ãt“from“Âc®9harŽ‘¿ž«to“ÂconstŽ‘!÷unsignedŽ‘Q·shortŽ‘l,S«.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·ޤ ‘ -ÂvirtualŽ‘/˜;constŽ‘MÍDP•®9oin“tŽ‘lÇH«&Ž‘tŽfÏget‘‰ffŽ–®shap›ÿ}'e‘‰ffŽ“c˜enterŽ’»üŽ«(ÂconstŽ‘5 unsignedŽ‘Nv~shortŽ‘lKˆÏshap–ÿ}'e‘‰ffŽ‘®typ“eŽ’š J±;‘ª¨Âconstޑ߱unsignedŽ‘P!&shortŽ‘mö0±sŽ‘r¦0«)Ž¡‘ÂconstŽ‘8ÕP«;ŽŽŽŒ‹ê° Šn ý‘ì·x«1325›­3DLDFPRÃŽG’oGET–ÕXSHAPE“CENTER˜«397Ž €n ý•@PÂ1325.ŽŸ·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·ޤ ‘ +[¬LDF‘T2003.04.11.«]Ž‘Y;Changed–UUthe“Ïshap–ÿ}'e‘‰ffŽ‘®typ“eŽ‘4l«argumen¸ãt“from“Âc®9harŽ‘¿ž«to“ÂconstŽ‘!÷unsignedŽ‘Q·shortŽ‘l,S«.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·ޤ ‘ +ÂvirtualŽ‘/˜;constŽ‘MÍDP•®9oin“tŽ‘lÇH«&Ž‘tŽfÏget‘‰ffŽ–®shap›ÿ}'e‘‰ffŽ“c˜enterŽ’»üŽ«(ÂconstŽ‘5 unsignedŽ‘Nv~shortŽ‘lKˆÏshap–ÿ}'e‘‰ffŽ‘®typ“eŽ’š J±;‘ª¨Âconstޑ߱unsignedŽ‘P!&shortŽ‘mö0±sŽ‘r¦0«)Ž¡‘ÂconstŽ‘8ÕP«;ŽŽŽŒ‹‘æ° Šn ý‘ì·x«1330›­3DLDFPRÃŽG’oGET–ÕXSHAPE“CENTER˜«401Ž €n ý•@PÂ1330.ŽŸ·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·ޤ ‘ ÂconstŽ‘(F(P•®9oin“tŽ‘GQJ«&Ž‘OhÂSolidŽ‘i–C«::‘Ïget‘‰ffŽ–®shap›ÿ}'e‘‰ffŽ“c˜enterŽ‘Hn,«(ÂconstŽ‘F'unsignedŽ‘N˜ºshortŽ‘l~âÏshap–ÿ}'e‘‰ffŽ‘®typ“eŽ’šS¤±;‘ª¨ÂconstŽ‘ðÏunsignedŽ‘PCbshortŽ‘n)бsŽ‘rÙŠ«)Ž¡‘2ÂconstŽŽ¡‘ ·fŽ¡‘ÂifŽ‘´ú«(Ïshap–ÿ}'e‘‰ffŽ‘®typ“eŽ‘0›Ú·‘ÇÝCIRCLEŽ‘"Ín«)‘·fŽ¡‘ÂifŽ‘)´û«(±sŽ‘w<‘ÇÏcir‘ÿ}'clesŽ‘S|±:ÏsizeŽ‘\«(–ª¨))‘ÂreturnŽ‘(æºÏcir‘ÿ}'clesŽ‘Es«[±sŽ‘°«]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ‘0=H«(“);Ž¡‘ÂelseŽ‘5Øâ·fŽ¡‘(Ïc‘ÿ}'errŽ‘@ W·‘S­Ý"ERROR!È ÝInÈ ÝSolid::geŽ‘nSqt_shape_center():\n"Ž’Ý-J·‘S­Ý"sÈ Ý("Ž‘%m³·‘S­±sŽ‘WZ·Ž¡‘<Ý")È Ý>È Ýcircles.size()È Ž’¤ÿÊÝ("Ž’³>Ù·‘8­Ïcir‘ÿ}'clesޑű:ÏsizeŽ‘\«(‘ª¨)–8­·“Ý")\nReturningÈ ÝINVALIŽ‘l8qD_POINT.\n\n"Ž’´7_·Ž¡‘<Ï ushŽ‘Q¹«;Ž¡‘(ÂreturnŽ‘Kæ¾ÝINVALID_POINTŽ’¬ÿ«;Ž¡‘·gŽ¡‘gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ïshap–ÿ}'e‘‰ffŽ‘®typ“eŽ‘0›Ú·‘ÇÝELLIPSEŽ‘( k«)‘·fŽ¡‘ÂifŽ‘)´û«(±sŽ‘w<‘ÇÏel‘‚ØlipsesŽ‘#I‰±:ÏsizeŽ‘\«(–ª¨))‘ÂreturnŽ‘(æºÏel‘‚ØlipsesŽ‘Ii+«[±sŽ‘°«]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ‘0=H«(“);Ž¡‘ÂelseŽ‘5Øâ·fŽ¡‘(Ïc‘ÿ}'errŽ‘@ W·‘S­Ý"ERROR!È ÝInÈ ÝSolid::geŽ‘nSqt_shape_center():\n"Ž’Ý-J·‘S­Ý"sÈ Ý("Ž‘%m³·‘S­±sŽ‘WZ·Ž¡‘<Ý")È Ý>È Ýellipses.size()Ž’¤ÿÊÈ Ý("Ž’¸ES·‘ÿ*Ïel‘‚ØlipsesŽ‘#›±:ÏsizeŽ‘\«(‘ª¨)–ÿ*·“Ý")\nReturningÈ ÝINVALIŽ‘kþîD_POINT.\n\n"Ž’³ÄY·Ž¡‘<Ï ushŽ‘Q¹«;Ž¡‘(ÂreturnŽ‘Kæ¾ÝINVALID_POINTŽ’¬ÿ«;Ž¡‘·gŽ¡‘gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ïshap–ÿ}'e‘‰ffŽ‘®typ“eŽ‘0›Ú·‘ÇÝRECTANGLEŽ‘2e«)‘·fŽ¡‘ÂifŽ‘)´û«(±sŽ‘w<‘ÇÏr–ÿ}'e“ctanglesŽ‘.g]±:ÏsizeŽ‘\«(–ª¨))‘ÂreturnŽ‘(æºÏr–ÿ}'e“ctanglesŽ‘T†ÿ«[±sŽ‘°«]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ‘0=H«(“);Ž¡‘ÂelseŽ‘5Øâ·fŽ¡‘(Ïc‘ÿ}'errŽ‘@§‘·‘ñçÝ"ERROR!È ÝInÈ ÝSolid::geŽ‘nñ«t_shape_center():\n"Ž’Þi¾·‘ñçÝ"sÈ Ý("Ž‘&ª'·Ž¡‘<±sŽ‘GGô·‘—îÝ")È Ý>È Ýrectangles.sizeŽ‘o—²()È Ý("Ž’õù·‘—îÏr–ÿ}'e“ctanglesŽ‘283±:ÏsizeŽ‘\«(‘ª¨)‘—î·Ž¡‘<Ý")\nReturningÈ ÝINVALIŽ’¤ÿÊD_POINT.\n\n"Ž’ì#·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾ÝINVALID_POINTŽ’¬ÿ«;Ž¡‘·gŽ¡‘gŽ¡‘ÂelseŽ‘*.6ifŽ‘5ã.«(Ïshap–ÿ}'e‘‰ffŽ‘®typ“eŽ‘0›Ú·‘ÇÝREG_POLYGONŽ‘= _«)‘·fŽ¡‘ÂifŽ‘)´û«(±sŽ‘w<‘ÇÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘8ºh±:ÏsizeŽ‘\«(–ª¨))‘ÂreturnŽ‘(æºÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘^Ú «[±sŽ‘°«]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ‘0=H«(“);Ž¡‘ÂelseŽ‘5Øâ·fŽ¡‘(Ïc‘ÿ}'errŽ‘@§‘·‘ñçÝ"ERROR!È ÝInÈ ÝSolid::geŽ‘nñ«t_shape_center():\n"Ž’Þi¾·‘ñçÝ"sÈ Ý("Ž‘&ª'·Ž¡‘<±sŽ‘FÅî·‘èÝ")È Ý>È Ýreg_polygons.siŽ‘o¬ze()È Ý("Ž’šqç·‘èÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘< 8±:ÏsizeŽ‘\«(‘ª¨)‘è·Ž¡‘<Ý")\nReturningÈ ÝINVALIŽ’¤ÿÊD_POINT.\n\n"Ž’ì#·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾ÝINVALID_POINTŽ’¬ÿ«;Ž¡‘·gŽ¡‘gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘Ïc‘ÿ}'errŽ‘8(¢·‘rùÝ"ERROR!È ÝInÈ ÝSolid::geŽ‘pr½t_shape_center():\n"Ž’ákâ·Ž¡‘2Ý"InvalidÈ ÝargumentÈ ÝfoŽ’šÿÉrÈ Ýshape_type:È Ý"Ž’ð¯·‘Ø«Ïshap–ÿ}'e‘‰ffŽ‘®typ“eŽ‘9†·‘Ø«Ïend‘‚ØlŽ‘£·Ž¡‘2Ý"ReturningÈ ÝINVALID_PŽ’šÿÉOINT.\n\n"Ž’ÒÍ+·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘Aæ½ÝINVALID_POINTŽ’†¬þ«;Ž¡‘·gŽ¡‘ -gŽŽŽŒ‹ŽóÚ Šn ý‘ì«398‘­GET–ÕXCIRšÃŽCLE“CENTER’šé3DLDFPR˜G‘·x«1326Ž €n ý•@PÂ1326.‘ üGet–ÕTCircle“cen®9ter.ŽŸŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ© ‘ -«[¬LDF‘T2003.04.11.«]Ž‘Y;Added–UUthis“function.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·ަ‘ -ÂvirtualŽ‘/ÔconstŽ‘M¸vP•®9oin“tŽ‘l¨«&Ž‘to1Ïget‘‰ffŽ–®cir›ÿ}'cle‘‰ffŽ“c˜enterŽ’»{4«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽ‘*¢«;ŽŸÂ1327.Ž¡·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·ަ‘ +gŽŽŽŒ‹’ﯠŠn ý‘ì«402‘­GET–ÕXCIRšÃŽCLE“CENTER’šé3DLDFPR˜G‘·x«1331Ž €n ý•@PÂ1331.‘ üGet–ÕTCircle“cen®9ter.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ© ‘ +«[¬LDF‘T2003.04.11.«]Ž‘Y;Added–UUthis“function.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·ަ‘ +ÂvirtualŽ‘/ÔconstŽ‘M¸vP•®9oin“tŽ‘l¨«&Ž‘to1Ïget‘‰ffŽ–®cir›ÿ}'cle‘‰ffŽ“c˜enterŽ’»{4«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽ‘*¢«;ŽŸÂ1332.Ž¡·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·ަ‘ ÂconstŽ‘(*£P•®9oin“tŽ‘G@«&Ž‘Ná^ÂSolidŽ‘i_9«::‘Ïget‘‰ffŽ–®cir›ÿ}'cle‘‰ffŽ“c˜enterŽ‘H «(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽŽ¦‘ ·fަ‘ÂreturnŽ‘7æ¼Ïget‘‰ffŽ–®shap›ÿ}'e‘‰ffŽ“c˜enterŽ‘Tä«(ÝCIRCLEŽ‘ V±;‘ª¨sŽ‘Z¨«);ަ‘ -·gŽŸÂ1328.‘ üGet–ÕTEllipse“cen®9ter.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ -«[¬LDF‘T2003.04.11.«]Ž‘Y;Added–UUthis“function.Ž¡ŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·ަ‘ -ÂvirtualŽ‘/ÔconstŽ‘M¸vP•®9oin“tŽ‘l¨«&Ž‘to1Ïget‘‰ffŽ–®el‘‚Ølipse‘‰ffŽ“c‘ÿ}'enterŽ’¿qA«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽ‘*¢«;ŽŸÂ1329.Ž¡·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·ަ‘ +·gŽŸÂ1333.‘ üGet–ÕTEllipse“cen®9ter.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¦‘ +«[¬LDF‘T2003.04.11.«]Ž‘Y;Added–UUthis“function.Ž¡ŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·ަ‘ +ÂvirtualŽ‘/ÔconstŽ‘M¸vP•®9oin“tŽ‘l¨«&Ž‘to1Ïget‘‰ffŽ–®el‘‚Ølipse‘‰ffŽ“c‘ÿ}'enterŽ’¿qA«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽ‘*¢«;ŽŸÂ1334.Ž¡·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·ަ‘ ÂconstŽ‘(*£P•®9oin“tŽ‘G@«&Ž‘Ná^ÂSolidŽ‘i_9«::‘Ïget‘‰ffŽ–®el‘‚Ølipse‘‰ffŽ“c‘ÿ}'enterŽ‘L«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽŽ¦‘ ·fަ‘ÂreturnŽ‘7æ¼Ïget‘‰ffŽ–®shap›ÿ}'e‘‰ffŽ“c˜enterŽ‘Tä«(ÝELLIPSEŽ‘%FS±;‘ª¨sŽ‘Z¨«);ަ‘ -·gŽŸÂ1330.‘ üGet–ÕTRectangle“cen®9ter.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ -«[¬LDF‘T2003.04.11.«]Ž‘Y;Added–UUthis“function.Ž¡ŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·ަ‘ -ÂvirtualŽ‘/ÔconstŽ‘M¸vP•®9oin“tŽ‘l¨«&Ž‘to1Ïget‘‰ffŽ›®r–ÿ}'e“ctangle‘‰ffŽ˜c“enterŽ’Ê«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽ‘*¢«;ŽŸÂ1331.Ž¡·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·ަ‘ +·gŽŸÂ1335.‘ üGet–ÕTRectangle“cen®9ter.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¦‘ +«[¬LDF‘T2003.04.11.«]Ž‘Y;Added–UUthis“function.Ž¡ŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·ަ‘ +ÂvirtualŽ‘/ÔconstŽ‘M¸vP•®9oin“tŽ‘l¨«&Ž‘to1Ïget‘‰ffŽ›®r–ÿ}'e“ctangle‘‰ffŽ˜c“enterŽ’Ê«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽ‘*¢«;ŽŸÂ1336.Ž¡·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·ަ‘ ÂconstŽ‘(*£P•®9oin“tŽ‘G@«&Ž‘Ná^ÂSolidŽ‘i_9«::‘Ïget‘‰ffŽ›®r–ÿ}'e“ctangle‘‰ffŽ˜c“enterŽ‘Wè«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽŽ¦‘ ·fަ‘ÂreturnŽ‘7æ¼Ïget‘‰ffŽ–®shap›ÿ}'e‘‰ffŽ“c˜enterŽ‘Tä«(ÝRECTANGLEŽ‘/ÆM±;‘ª¨sŽ‘Z¨«);ަ‘ -·gŽŽŽŒ‹· Šn ý‘ì·x«1332›­3DLDFPRÃŽG’ÉÚàGET–ÕXÂREG‘°¡‰ffs4Ž‘#ÕPOL‘ÿ -«YGON“­CENTER˜«399Ž €n ý•@PÂ1332.‘ üGet–ÕTReg‘°¡‰ffs4Ž‘#ÕPš®9olygon“cen˜ter.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ© ‘ -«[¬LDF‘T2003.04.11.«]Ž‘Y;Added–UUthis“function.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·ަ‘ -ÂvirtualŽ‘/ÔconstŽ‘M¸vP•®9oin“tŽ‘l¨«&Ž‘to1Ïget‘‰ffŽ›®r–ÿ}'e“g‘‰ffŽ˜p“olygon‘‰ffŽ˜c“enterŽ’Ôâ «(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽ‘*¢«;ŽŸÂ1333.Ž¡·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·ަ‘ +·gŽŽŽŒ‹“ýŒ Šn ý‘ì·x«1337›­3DLDFPRÃŽG’ÉÚàGET–ÕXÂREG‘°¡‰ffs4Ž‘#ÕPOL‘ÿ +«YGON“­CENTER˜«403Ž €n ý•@PÂ1337.‘ üGet–ÕTReg‘°¡‰ffs4Ž‘#ÕPš®9olygon“cen˜ter.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ© ‘ +«[¬LDF‘T2003.04.11.«]Ž‘Y;Added–UUthis“function.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·ަ‘ +ÂvirtualŽ‘/ÔconstŽ‘M¸vP•®9oin“tŽ‘l¨«&Ž‘to1Ïget‘‰ffŽ›®r–ÿ}'e“g‘‰ffŽ˜p“olygon‘‰ffŽ˜c“enterŽ’Ôâ «(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽ‘*¢«;ŽŸÂ1338.Ž¡·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·ަ‘ ÂconstŽ‘(*£P•®9oin“tŽ‘G@«&Ž‘Ná^ÂSolidŽ‘i_9«::‘Ïget‘‰ffŽ›®r–ÿ}'e“g‘‰ffŽ˜p“olygon‘‰ffŽ˜c“enterŽ‘aró«(ÂconstŽ‘*¢unsignedŽ‘Na°shortŽ‘l,S±sŽ‘pÜS«)‘UUÂconstŽŽ¦‘ ·fަ‘ÂreturnŽ‘7æ¼Ïget‘‰ffŽ–®shap›ÿ}'e‘‰ffŽ“c˜enterŽ‘Tä«(ÝREG_POLYGONŽ‘:FG±;‘ª¨sŽ‘Z¨«);ަ‘ -·gŽŸÂ1334.‘ üIs–ÕTon“free“store.Ž¡·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·ަ‘ -ÂvirtualŽ‘/Ôb•QÇo“olŽ‘I/:Ïis‘‰ffŽ–®on‘‰ffŽ“fr–ÿ}'e“e‘‰ffŽ‘®stor“eŽ’‹ª«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŸÂ1335.Ž¡·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·ަ‘ +·gŽŸÂ1339.‘ üIs–ÕTon“free“store.Ž¡·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·ަ‘ +ÂvirtualŽ‘/Ôb•QÇo“olŽ‘I/:Ïis‘‰ffŽ–®on‘‰ffŽ“fr–ÿ}'e“e‘‰ffŽ‘®stor“eŽ’‹ª«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŸÂ1340.Ž¡·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·ަ‘ Âb•QÇo“olŽ‘#¡gSolidŽ‘>B«::‘Ïis‘‰ffŽ–®on‘‰ffŽ“fr–ÿ}'e“e‘‰ffŽ‘®stor“eŽ‘CzÙ«(‘ª®)‘UUÂconstŽŽ¦‘ ·fަ‘Âb•QÇo“olŽ‘-¡h±bŽ‘4³*«=‘ÇÏtrueŽ‘‹°«;Ž¡‘ÂreturnŽ‘7æ¼±bŽ‘<1f«;ަ‘ -·gŽŸÂ1336.‘ üSho®9w.Ž¡·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·ަ‘ +·gŽŸÂ1341.‘ üSho®9w.Ž¡·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·ަ‘ ÂvirtualŽ‘/Õ[v®9oidŽ‘IºÏshowŽ‘_¥¹«(ÂstringŽ‘!lÔÏtextŽ‘6î«=‘>NÝ""Ž‘D°±;‘ª¨Âc®9harŽ‘\xÏc–ÿ}'o“or“dsŽ‘:¤R«=‘>NÝ'w'Ž‘„­±;‘ª¨ÂconstŽ‘ Ñb•QÇo“olŽ‘:¾Ïdo‘‰ffŽ‘®p‘ÿ}'erspŽ‘bíD«=‘>NÏtrueŽ‘æ±;‘ª¨ÂconstŽ‘ Ñb•QÇo“olŽŽ¦‘Ïdo‘‰ffŽ‘®applyŽ‘Gd«=‘ŒÏtrueŽ‘Ó$±;‘ª¨ÂF‘ÿ -«oQÇcusŽ‘" )·Ž‘' *±fŽ‘0'œ«=‘Œ0Ž‘±;‘ª¨ÂconstŽ‘ *unsignedŽ‘PbshortŽ‘nW›Ïpr‘ÿ}'ojŽ’„Yê«=‘ŒÂPro‘£ŽjectionsŽ‘=Úð«::Ž‘Di.ÝPERSPŽ‘_/‡±;‘ª¨ÂconstŽ‘ *realŽŽ¦‘ÏfactorŽ‘;Êù«=‘Ç1Ž‘Ç)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹ B Šn ý‘ì«400›­SHO•ÃŽW’C’E3DLDFPR“G˜·x«1337Ž €n ý•@PÂ1337.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·ޤ ‘ +«oQÇcusŽ‘" )·Ž‘' *±fŽ‘0'œ«=‘Œ0Ž‘±;‘ª¨ÂconstŽ‘ *unsignedŽ‘PbshortŽ‘nW›Ïpr‘ÿ}'ojŽ’„Yê«=‘ŒÂPro‘£ŽjectionsŽ‘=Úð«::Ž‘Di.ÝPERSPŽ‘_/‡±;‘ª¨ÂconstŽ‘ *realŽŽ¦‘ÏfactorŽ‘;Êù«=‘Ç1Ž‘Ç)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹”– Šn ý‘ì«404›­SHO•ÃŽW’C’E3DLDFPR“G˜·x«1342Ž €n ý•@PÂ1342.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘#ŒhSolidŽ‘> C«::‘ÏshowŽ‘‹«(ÂstringŽ‘!³ÜÏtextŽ‘3 ¨±;‘ª¨Âc®9harŽ‘£€Ïc–ÿ}'o“or“dsŽ‘7­ ±;‘ª¨ÂconstŽ‘ cÙb•QÇo“olŽ‘:“ÎÏdo‘‰ffŽ‘®p‘ÿ}'erspŽ‘`=±;‘ª¨ÂconstŽ‘ cÙb•QÇo“olŽ‘:“ÎÏdo‘‰ffŽ‘®applyŽ‘`ž£±;‘ª¨ÂF‘ÿ «oQÇcusŽŽ¡‘2·Ž‘7±fŽ‘<øì;‘ª¨ÂconstŽ‘ÕJunsignedŽ‘P XshortŽ‘mÖûÏpr‘ÿ}'ojŽ’€Ê¾±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏfactorŽ‘QŒV«)‘UUÂconstŽŽ¡‘ @@ -4884,10 +4950,10 @@ ÏiterŽ‘Ë«)±:ÏshowŽ‘Šÿ«(±gŽ‘ ã:ÏstrŽ‘ 7«(–ª¨)±;“Ïc–ÿ}'o“or“dsŽ‘´4±;“Ïdo‘‰ffŽ‘®p‘ÿ}'erspŽ‘'Sà±;“Ïdo‘‰ffŽ‘®applyŽ‘'µ}±;“fŽ‘£Ž;“Ïpr‘ÿ}'ojŽ‘žk±;“ÏfactorŽ‘®†«);Ž¡‘(±gŽ‘- ç:ÏstrŽ‘ 7«(Ý""Ž‘ b«);Ž¡‘·gŽ¡‘gŽ¡‘ÂelseŽ‘+ØáÏc‘ÿ}'outŽ‘Aù0·‘ÇÝ"pathsÈ ÝisÈ Ýempty.\n"Ž‘g G«;Ž¡‘ÂifŽ‘´ú«(Ïcir‘ÿ}'clesŽ‘Œd±:ÏsizeŽ‘\«(‘ª¨)–DZ>“«0Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"ShowingÈ Ýcircles.\n"Ž‘lMD«;Ž¡‘±iŽ‘$9«=‘Ç0Ž‘Ç;Ž¡‘ÂforŽ‘/艫(Âv®9ectorŽ‘ªH·hÂCircleŽ‘!¸·Ž‘&¸‚i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘ÇÏcir‘ÿ}'clesŽ–S|±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏcir‘ÿ}'clesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘(±gŽ‘/çÿ·‘ÇÝ"CircleÈ Ý"Ž‘5T}·‘DZiŽ‘¹ Ÿÿ®+‘ÿ+ŽŽ‘GD·‘ÇÝ":"Ž‘ w«;Ž¡‘((·Ž‘Ž‘ ÏiterŽ‘Ë«)±:ÏshowŽ‘Šÿ«(±gŽ‘ ã:ÏstrŽ‘ 7«(–ª¨)±;“Ïc–ÿ}'o“or“dsŽ‘´4±;“Ïdo‘‰ffŽ‘®p‘ÿ}'erspŽ‘'Sà±;“Ïdo‘‰ffŽ‘®applyŽ‘'µ}±;“fŽ‘£Ž;“Ïpr‘ÿ}'ojŽ‘žk±;“ÏfactorŽ‘®†«);Ž¡‘(±gŽ‘- ç:ÏstrŽ‘ 7«(Ý""Ž‘ b«);Ž¡‘·gŽ¡‘gŽ¡‘ÂelseŽ‘+ØáÏc‘ÿ}'outŽ‘Aù0·‘ÇÝ"circlesÈ ÝisÈ Ýempty.\nŽ‘kÆÜ"Ž‘qA«;Ž¡‘ÂifŽ‘´ú«(Ïel‘‚ØlipsesŽ‘ ‚q±:ÏsizeŽ‘\«(‘ª¨)–DZ>“«0Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"ShowingÈ Ýellipses.\nŽ‘kÆÜ"Ž‘qA«;Ž¡‘±iŽ‘$9«=‘Ç0Ž‘Ç;Ž¡‘ÂforŽ‘/艫(Âv®9ectorŽ‘ªH·hÂEllipseŽ‘%>.·Ž‘*>/i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘ÇÏel‘‚ØlipsesŽ–#I‰±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏel‘‚ØlipsesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘(±gŽ‘/çÿ·‘ÇÝ"EllipseÈ Ý"Ž‘:”z·‘DZiŽ‘¹ Ÿÿ®+‘ÿ+ŽŽ‘GD·‘ÇÝ":"Ž‘ w«;Ž¡‘((·Ž‘Ž‘ ÏiterŽ‘Ë«)±:ÏshowŽ‘Šÿ«(±gŽ‘ ã:ÏstrŽ‘ 7«(–ª¨)±;“Ïc–ÿ}'o“or“dsŽ‘´4±;“Ïdo‘‰ffŽ‘®p‘ÿ}'erspŽ‘'Sà±;“Ïdo‘‰ffŽ‘®applyŽ‘'µ}±;“fŽ‘£Ž;“Ïpr‘ÿ}'ojŽ‘žk±;“ÏfactorŽ‘®†«);Ž¡‘(±gŽ‘- ç:ÏstrŽ‘ 7«(Ý""Ž‘ b«);Ž¡‘·gŽ¡‘gŽ¡‘ÂelseŽ‘+ØáÏc‘ÿ}'outŽ‘Aù0·‘ÇÝ"ellipsesÈ ÝisÈ Ýempty.\Ž‘kÆÜn"Ž‘vÍ>«;Ž¡‘ÂifŽ‘´ú«(Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘5óP±:ÏsizeŽ‘\«(‘ª¨)–DZ>“«0Ž‘Ç)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"ShowingÈ Ýreg_polygonŽ‘kÆÜs.\n"Ž’†5«;Ž¡‘±iŽ‘$9«=‘Ç0Ž‘Ç;Ž¡‘ÂforŽ‘/M«(Âv®9ectorŽ‘ªH·hÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘D8ÿ·Ž‘I9i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘ÇÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ–8ºh±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘dóÏiterŽ‘÷ ·6«=‘ÇÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ“±:ÏendŽ‘ಫ(˜);Ž¡‘<€Ÿÿ®+‘ÿ+ŽŽ‘HG&ÏiterŽ‘Y$«)‘·fŽ¡‘(±gŽ‘/çÿ·‘ÇÝ"PolygonÈ Ý"Ž‘:”z·‘DZiŽ‘¹ Ÿÿ®+‘ÿ+ŽŽ‘GD·‘ÇÝ":"Ž‘ w«;Ž¡‘((·Ž‘Ž‘ -ÏiterŽ‘Ë«)±:ÏshowŽ‘Šÿ«(±gŽ‘ ã:ÏstrŽ‘ 7«(–ª¨)±;“Ïc–ÿ}'o“or“dsŽ‘´4±;“Ïdo‘‰ffŽ‘®p‘ÿ}'erspŽ‘'Sà±;“Ïdo‘‰ffŽ‘®applyŽ‘'µ}±;“fŽ‘£Ž;“Ïpr‘ÿ}'ojŽ‘žk±;“ÏfactorŽ‘®†«);Ž¡‘(±gŽ‘- ç:ÏstrŽ‘ 7«(Ý""Ž‘ b«);Ž¡‘·gŽ¡‘gŽ¡‘ÂelseŽ‘+ØáÏc‘ÿ}'outŽ‘Aù0·‘ÇÝ"reg_polygonsÈ ÝisÈ ÝempŽ‘kÆÜty.\n"Ž’‹Í2«;ŽŽŽŒ‹‘ Šn ý‘ì·x«1337›­3DLDFPR•ÃŽG’C’ESHO“W˜«401Ž €n ý•@P‘ÂifŽ‘´ú«(Ïr–ÿ}'e“ctanglesŽ‘+ E±:ÏsizeŽ‘\«(‘ª¨)–DZ>“«0Ž‘Ç)‘·fޤ ‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"ShowingÈ Ýrectangles.Ž‘kÆÜ\n"Ž‘| ;«;Ž¡‘±iŽ‘$9«=‘Ç0Ž‘Ç;Ž¡‘ÂforŽ‘0Q»«(Âv®9ectorŽ‘ªH·hÂRectangleŽ‘5þ·Ž‘:þi‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘WÄd«=‘vkÏr–ÿ}'e“ctanglesŽ–/°±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘i/ÏiterŽ‘ª˜·6«=‘vkÏr–ÿ}'e“ctanglesŽ“±:ÏendŽ‘ಫ(˜);Ž¡‘<€Ÿÿ®+‘ÿ+ŽŽ‘HG&ÏiterŽ‘Y$«)‘·fŽ¡‘(±gŽ‘/çÿ·‘ÇÝ"RectangleÈ Ý"Ž‘Et·‘DZiŽ‘¹ Ÿÿ®+‘ÿ+ŽŽ‘GD·‘ÇÝ":"Ž‘ w«;Ž¡‘((·Ž‘Ž‘ +ÏiterŽ‘Ë«)±:ÏshowŽ‘Šÿ«(±gŽ‘ ã:ÏstrŽ‘ 7«(–ª¨)±;“Ïc–ÿ}'o“or“dsŽ‘´4±;“Ïdo‘‰ffŽ‘®p‘ÿ}'erspŽ‘'Sà±;“Ïdo‘‰ffŽ‘®applyŽ‘'µ}±;“fŽ‘£Ž;“Ïpr‘ÿ}'ojŽ‘žk±;“ÏfactorŽ‘®†«);Ž¡‘(±gŽ‘- ç:ÏstrŽ‘ 7«(Ý""Ž‘ b«);Ž¡‘·gŽ¡‘gŽ¡‘ÂelseŽ‘+ØáÏc‘ÿ}'outŽ‘Aù0·‘ÇÝ"reg_polygonsÈ ÝisÈ ÝempŽ‘kÆÜty.\n"Ž’‹Í2«;ŽŽŽŒ‹•B Šn ý‘ì·x«1342›­3DLDFPR•ÃŽG’C’ESHO“W˜«405Ž €n ý•@P‘ÂifŽ‘´ú«(Ïr–ÿ}'e“ctanglesŽ‘+ E±:ÏsizeŽ‘\«(‘ª¨)–DZ>“«0Ž‘Ç)‘·fޤ ‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"ShowingÈ Ýrectangles.Ž‘kÆÜ\n"Ž‘| ;«;Ž¡‘±iŽ‘$9«=‘Ç0Ž‘Ç;Ž¡‘ÂforŽ‘0Q»«(Âv®9ectorŽ‘ªH·hÂRectangleŽ‘5þ·Ž‘:þi‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘WÄd«=‘vkÏr–ÿ}'e“ctanglesŽ–/°±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘i/ÏiterŽ‘ª˜·6«=‘vkÏr–ÿ}'e“ctanglesŽ“±:ÏendŽ‘ಫ(˜);Ž¡‘<€Ÿÿ®+‘ÿ+ŽŽ‘HG&ÏiterŽ‘Y$«)‘·fŽ¡‘(±gŽ‘/çÿ·‘ÇÝ"RectangleÈ Ý"Ž‘Et·‘DZiŽ‘¹ Ÿÿ®+‘ÿ+ŽŽ‘GD·‘ÇÝ":"Ž‘ w«;Ž¡‘((·Ž‘Ž‘ ÏiterŽ‘Ë«)±:ÏshowŽ‘Šÿ«(±gŽ‘ ã:ÏstrŽ‘ 7«(–ª¨)±;“Ïc–ÿ}'o“or“dsŽ‘´4±;“Ïdo‘‰ffŽ‘®p‘ÿ}'erspŽ‘'Sà±;“Ïdo‘‰ffŽ‘®applyŽ‘'µ}±;“fŽ‘£Ž;“Ïpr‘ÿ}'ojŽ‘žk±;“ÏfactorŽ‘®†«);Ž¡‘(±gŽ‘- ç:ÏstrŽ‘ 7«(Ý""Ž‘ b«);Ž¡‘·gŽ¡‘gŽ¡‘ÂelseŽ‘+ØáÏc‘ÿ}'outŽ‘Aù0·‘ÇÝ"rectanglesÈ ÝisÈ ÝemptyŽ‘kÆÜ.\n"Ž’M8«;Ž¡‘Ïc‘ÿ}'outŽ‘* Q·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘4‘g«;Ž¡‘ -·gŽ©Â1338.– üClear.“«[¬LDF‘T2002.10.07.«]Ž‘ZÑôReplaced–Ÿdummš¸ãy“de nition“with“a“real“one.‘ONo˜w,‘±ƒÏcle‘ÿ}'arŽ‘Ú\«(‘ª®)“is“called“forŽ¡all–UUof“the“ob‘Ž8jects“in“the“ÂSolidŽ‘Ó,«.ŽŸ·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·Ž¡‘ -ÂvirtualŽ‘/Ôv®9oidŽ‘H‹¬Ïcle‘ÿ}'arŽ‘^´…«(‘ª®);ަÂ1339.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·Ž¡‘ +·gŽ©Â1343.– üClear.“«[¬LDF‘T2002.10.07.«]Ž‘ZÑôReplaced–Ÿdummš¸ãy“de nition“with“a“real“one.‘ONo˜w,‘±ƒÏcle‘ÿ}'arŽ‘Ú\«(‘ª®)“is“called“forŽ¡all–UUof“the“ob‘Ž8jects“in“the“ÂSolidŽ‘Ó,«.ŽŸ·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·Ž¡‘ +ÂvirtualŽ‘/Ôv®9oidŽ‘H‹¬Ïcle‘ÿ}'arŽ‘^´…«(‘ª®);ަÂ1344.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·Ž¡‘ Âv®9oidŽ‘"ýÙSolidŽ‘={´«::‘Ïcle‘ÿ}'arŽ‘(Ý«(‘ª®)Ž¡‘ ·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝSolid::cleŽ‘kÆÜar().\n"Ž’™D·‘ÇÏ ushŽ‘€«;Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂP®9athŽ‘æ¹·Ž‘ æºi‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=+M«=‘ÇÏp‘ÿ}'athsŽ–Wű:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏp‘ÿ}'athsŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïcle‘ÿ}'arŽ‘(Ù«(˜);Ž¡‘Ïp‘ÿ}'athsŽ‘+¯±:Ïcle‘ÿ}'arŽ‘(Ù«(‘ª¨);Ž¡‘ÂforŽ‘%åì«(Âv®9ectorŽ‘ªH·hÂCircleŽ‘!µå·Ž‘&µæi‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=+M«=‘ÇÏcir‘ÿ}'clesŽ–S|±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ýaÏiterŽ‘w·6«=‘ÇÏcir‘ÿ}'clesŽ“±:ÏendŽ‘ಫ(˜);‘}aŸÿ®+‘ÿ+ŽŽ‘DÏiterŽ‘"«)‘(·Ž‘Ž‘ @@ -4895,12 +4961,12 @@ ÏiterŽ‘Ë«)±:Ïcle‘ÿ}'arŽ‘(Ù«(‘ª¨);Ž¡‘Ïel‘‚ØlipsesŽ‘4‚s±:Ïcle‘ÿ}'arŽ‘(Ù«(‘ª¨);Ž¡‘ÂforŽ‘&QË«(Âv®9ectorŽ‘ªH·hÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘E=L·Ž‘J=Mi‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=Ú¼«=‘v‡Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ–9i×±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘i@ÏiterŽ‘ªÅ·6«=‘v‡Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ“±:ÏendŽ‘ಫ(˜);Ž¡‘2€Ÿÿ®+‘ÿ+ŽŽ‘>G%ÏiterŽ‘O#«)‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïcle‘ÿ}'arŽ‘(Ù«(‘ª¨);Ž¡‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘IóR±:Ïcle‘ÿ}'arŽ‘(Ù«(‘ª¨);Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂRectangleŽ‘5”ê·Ž‘:”ëi‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=+M«=‘ÇÏr–ÿ}'e“ctanglesŽ–.g]±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏr–ÿ}'e“ctanglesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)Ž¡‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïcle‘ÿ}'arŽ‘(Ù«(‘ª¨);Ž¡‘Ïr–ÿ}'e“ctanglesŽ‘? G±:Ïcle‘ÿ}'arŽ‘(Ù«(‘ª¨);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝSolid::cleaŽ‘kÆÜr().\n"Ž’“ÔG·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘4‘g«;Ž¡‘ -·gޤÂ1340.‘ üT‘ÿ -«ransformations.Ž¡1341.‘ üMultiplying–ÕTb®9y“a“T‘ÿ -«ransform.ަ·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·ŽŸ ‘ +·gޤÂ1345.‘ üT‘ÿ +«ransformations.Ž¡1346.‘ üMultiplying–ÕTb®9y“a“T‘ÿ +«ransform.ަ·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·ŽŸ ‘ ÂvirtualŽ‘/ÔT‘ÿ «ransformŽ‘gV¦opQÇeratorŽ’’í[·«=ŽŽŽ’Ÿ´z(ÂconstŽ‘*¢T‘ÿ -«ransformŽ‘Uót«&Ž‘]º’±tŽ‘aW«);ŽŽŽŒ‹’': Šn ý‘ì«402›­MUL–ÿJªTIPL“YING–ÕXBY“A“ÂTRANSF®9ORM’¹é÷­3DLDFPRÃŽG˜·x«1342Ž €n ý•@PÂ1342.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·ޤ ‘ +«ransformŽ‘Uót«&Ž‘]º’±tŽ‘aW«);ŽŽŽŒ‹–"c Šn ý‘ì«406›­MUL–ÿJªTIPL“YING–ÕXBY“A“ÂTRANSF®9ORM’¹é÷­3DLDFPRÃŽG˜·x«1347Ž €n ý•@PÂ1347.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·ޤ ‘ ÂT‘ÿ «ransformŽ‘AÈÓSolidŽ‘\F®«::Ž‘bÔìÂopQÇeratorŽ’Žk¡·«=ŽŽŽ’›2À(ÂconstŽ‘*¢T‘ÿ «ransformŽ‘Uót«&Ž‘]º’±tŽ‘aW«)Ž¡‘ @@ -4909,10 +4975,10 @@ Ž‘ÏiterŽ‘"’·«=ŽŽ‘2 O±tŽ‘5¼Á«;Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂCircleŽ‘!¸·Ž‘&¸‚i‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=+M«=‘ÇÏcir‘ÿ}'clesŽ–S|±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏcir‘ÿ}'clesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·Ž‘ Ž‘ÏiterŽ‘"’·«=ŽŽ‘2 O±tŽ‘5¼Á«;Ž¡‘ÂforŽ‘&QË«(Âv®9ectorŽ‘ªH·hÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘E=L·Ž‘J=Mi‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=Ú¼«=‘v‡Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ–9i×±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘i@ÏiterŽ‘ªÅ·6«=‘v‡Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ“±:ÏendŽ‘ಫ(˜);Ž¡‘2€Ÿÿ®+‘ÿ+ŽŽ‘>G%ÏiterŽ‘O#«)‘·Ž‘ Ž‘ÏiterŽ‘"’·«=ŽŽ‘2 O±tŽ‘5¼Á«;Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂRectangleŽ‘5”ê·Ž‘:”ëi‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=+M«=‘ÇÏr–ÿ}'e“ctanglesŽ–.g]±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏr–ÿ}'e“ctanglesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)Ž¡‘·Ž‘#Ž‘(ÏiterŽ‘;’·«=ŽŽ‘K R±tŽ‘N¼Ä«;Ž¡‘ÂreturnŽ‘7æ¼±tŽ‘;ƒ.«;Ž¡‘ -·gŽŸÂ1343.‘ üApplying–ÕTa“transformation.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +·gŽŸÂ1348.‘ üApplying–ÕTa“transformation.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2003.01.05.«]Ž‘Z‡{Added–Ô•this“function.‘ï†It's“noš¸ãw“needed“bGecause“I'v˜e“made“Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Jôt«(‘ª®)“a“pureŽ¡ÂvirtualŽ‘$Þ2«function–¥´in“ÂclassŽ‘ÖdShapQÇeŽ‘;Âq«.‘7„`ÊŽŽ¦·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·Ž¡‘ -ÂvirtualŽ‘/Ôv®9oidŽ‘H‹¬Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ’Ž«‹«(Âv®9oidŽ‘¨ƒ«);ŽŸÂ1344.ަ·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·Ž¡‘ +«ransformŽ‘7ÈÒ±tŽ‘;eD«;“Ïcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘HB4·«=ŽŽ‘WÐk±tŽ‘[lÝ«".ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·Ž¡‘ +ÂvirtualŽ‘/Ôv®9oidŽ‘H‹¬Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ’Ž«‹«(Âv®9oidŽ‘¨ƒ«);ŽŸÂ1349.ަ·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·Ž¡‘ Âv®9oidŽ‘"ýÙSolidŽ‘={´«::‘Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Gã«(Âv®9oidŽ‘¨ƒ«)Ž¡‘ ·fŽ¡‘Ïc‘ÿ}'enterŽ‘0 ±:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂP®9athŽ‘æ¹·Ž‘ æºi‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=+M«=‘ÇÏp‘ÿ}'athsŽ–Wű:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏp‘ÿ}'athsŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)Ž¡‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂEllipseŽ‘%>.·Ž‘*>/i‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=+M«=‘ÇÏel‘‚ØlipsesŽ–#I‰±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏel‘‚ØlipsesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)Ž¡‘(·Ž‘Ž‘ @@ -4920,56 +4986,56 @@ ÏiterŽ‘Ë«)±:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);Ž¡‘ÂforŽ‘&QË«(Âv®9ectorŽ‘ªH·hÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘E=L·Ž‘J=Mi‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=Ú¼«=‘v‡Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ–9i×±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘i@ÏiterŽ‘ªÅ·6«=‘v‡Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ“±:ÏendŽ‘ಫ(˜);Ž¡‘2€Ÿÿ®+‘ÿ+ŽŽ‘>G%ÏiterŽ‘O#«)‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂRectangleŽ‘5”ê·Ž‘:”ëi‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=+M«=‘ÇÏr–ÿ}'e“ctanglesŽ–.g]±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏr–ÿ}'e“ctanglesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)Ž¡‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);Ž¡‘ -·gŽŸÂ1345.‘ üScale.ަ·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·Ž¡‘ +·gŽŸÂ1350.‘ üScale.ަ·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·Ž¡‘ ÂvirtualŽ‘/ÔT‘ÿ -«ransformŽ‘gV¦Ïsc‘ÿ}'aleŽ‘} ˜«(ÂrealŽ‘³.ÏxxŽ‘!±f±;‘ª¨ÂrealŽ‘]ÖÏyyŽ‘&@K«=‘Ç0Ž–Ç±;‘ª¨ÂrealŽ‘]ÖÏzzŽ‘%ó«=‘Ç0Ž“);ŽŽŽŒ‹“7? Šn ý‘ì·x«1346–­3DLDFPRÃŽG’ArCSCALE“«403Ž €n ý•@PÂ1346.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·ޤ ‘ +«ransformŽ‘gV¦Ïsc‘ÿ}'aleŽ‘} ˜«(ÂrealŽ‘³.ÏxxŽ‘!±f±;‘ª¨ÂrealŽ‘]ÖÏyyŽ‘&@K«=‘Ç0Ž–Ç±;‘ª¨ÂrealŽ‘]ÖÏzzŽ‘%ó«=‘Ç0Ž“);ŽŽŽŒ‹—2h Šn ý‘ì·x«1351–­3DLDFPRÃŽG’ArCSCALE“«407Ž €n ý•@PÂ1351.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·ޤ ‘ ÂT‘ÿ «ransformŽ‘AÈÓSolidŽ‘\F®«::‘Ïsc‘ÿ}'aleŽ‘´ö«(ÂrealŽ‘³.ÏxxŽ‘!±f±;‘ª¨ÂrealŽ‘]ÖÏyyŽ‘#y3±;‘ª¨ÂrealŽ‘]ÖÏzzŽ‘"HÛ«)Ž¡‘ ·fŽ¡‘ÂT‘ÿ «ransformŽ‘KÈÔ±tŽ‘OeF«;ަ‘±tŽ‘œt:Ïsc‘ÿ}'aleŽ‘´ò«(ÏxxŽ‘ þ8±;‘ª¨ÏyyŽ‘ Ʊ;‘ª¨ÏzzŽ‘ •­«);Ž¡‘·Ž‘ÏthisŽ‘,²Ñ·«=ŽŽ‘«(ÂrealŽ‘³.ÏxyŽ‘!—±;‘ª¨ÂrealŽ‘]ÖÏxzŽ‘"Õ¨±;‘ª¨ÂrealŽ‘]ÖÏyxŽ‘#“„±;‘ª¨ÂrealŽ‘]ÖÏyzŽ‘# ±;‘ª¨ÂrealŽ‘]ÖÏzxŽ‘"ÏA±;‘ª¨ÂrealŽ‘]ÖÏzyŽ‘"´ð«)Ž¡‘ ·fŽ¡‘ÂT‘ÿ «ransformŽ‘KÈÔ±tŽ‘OeF«;ަ‘±tŽ‘œt:Ïshe‘ÿ}'arŽ‘4:«(ÏxyŽ‘ ãç±;‘ª¨ÏxzŽ‘ "z±;‘ª¨ÏyxŽ‘ àV±;‘ª¨ÏyzŽ‘ Yð±;‘ª¨ÏzxŽ‘ ±;‘ª¨ÏzyŽ‘ «);Ž¡‘·Ž‘ÏthisŽ‘,²Ñ·«=ŽŽ‘«(ÏxxŽ‘ þ8±;‘ª¨ÏyyŽ‘ Ʊ;‘ª¨ÏzzŽ‘ •­«);Ž¡‘·Ž‘ÏthisŽ‘,²Ñ·«=ŽŽ‘‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.05.02.«]Ž‘YËSChanged–mname“of“this“function“from“Ïr–ÿ}'otate‘‰ffŽ‘®ar“oundŽ‘@„ü«(›ª®)“to“Ïr‘ÿ}'otateŽ‘‡««(˜).‘»This“function“no¸ãwŽ¡o•¸ãv“erloads‘UUÏr‘ÿ}'otateޑē«(‘ª®)–UUwith“three“ÂrealŽ‘ƒ«argumen¸ãts.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·Ž¡‘ +·gŽŸÂ1361.‘ üRotatation–ÕTaround“an“arbitrary“axis.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8LogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.05.02.«]Ž‘YËSChanged–mname“of“this“function“from“Ïr–ÿ}'otate‘‰ffŽ‘®ar“oundŽ‘@„ü«(›ª®)“to“Ïr‘ÿ}'otateŽ‘‡««(˜).‘»This“function“no¸ãwŽ¡o•¸ãv“erloads‘UUÏr‘ÿ}'otateޑē«(‘ª®)–UUwith“three“ÂrealŽ‘ƒ«argumen¸ãts.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·Ž¡‘ ÂvirtualŽ‘/ÔT‘ÿ -«ransformŽ‘gV¦Ïr‘ÿ}'otateŽ’Åä«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]Ïp0Ž‘Pø±;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒÏp1Ž‘R¢Å±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏangleŽ‘Qã«=‘Ç180ŽŽ‘Ç);ŽŸÂ1357.ަ·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·Ž¡‘ +«ransformŽ‘gV¦Ïr‘ÿ}'otateŽ’Åä«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]Ïp0Ž‘Pø±;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒÏp1Ž‘R¢Å±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏangleŽ‘Qã«=‘Ç180ŽŽ‘Ç);ŽŸÂ1362.ަ·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·Ž¡‘ ÂT‘ÿ «ransformŽ‘AÈÓSolidŽ‘\F®«::‘Ïr‘ÿ}'otateŽ‘oB«(ÂconstŽ‘*¢P•®9oin“tŽ‘=?«&Ž‘Dá]Ïp0Ž‘Pø±;‘ª¨ÂconstŽ‘ÕJP•®9oin“tŽ‘>Äç«&Ž‘FŒÏp1Ž‘R¢Å±;‘ª¨ÂconstŽ‘ÕJrealŽ‘6ˆxÏangleŽ‘NHË«)Ž¡‘ ·fŽ¡‘ÂT‘ÿ «ransformŽ‘KÈÔ±tŽ‘OeF«;ަ‘±tŽ‘œt:Ïr‘ÿ}'otateŽ‘o>«(Ïp0Ž‘ À±;‘ª¨Ïp1Ž‘ Áh±;‘ª¨ÏangleŽ‘jû«);Ž¡‘·Ž‘ÏthisŽ‘,²Ñ·«=ŽŽ‘uC«&Ž‘FuC«&Ž‘FuC«&Ž‘F8Á·‘ƒÝ"WARNING!È ÝInÈ ÝSolid::Ž‘l‚Ûextract():\n"Ž’´Ì3·‘ƒÝ"PolygonÈ ÝcannotÈ ÝbeÈ ÝpŽ‘l‚Ûrojected.È Ý"Ž’ªL9·Ž¡‘<Ý"ReturningÈ ÝemptyÈ ÝvecŽ’¤ÿÊtorÈ Ý.\n"Ž’üM·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾±vŽ‘Q{«;Ž¡‘(ÂbreakŽ‘D¡h«;Ž¡‘·gŽ¡‘gŽ¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂRectangleŽ‘5”ê·Ž‘:”ëi‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=+M«=‘ÇÏr–ÿ}'e“ctanglesŽ–.g]±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏr–ÿ}'e“ctanglesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘«(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïapply‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘Fß«(‘ª¨);Ž¡‘ÂifŽ‘)´û«(·:«(·Ž‘Ž‘ -ÏiterŽ‘Ë«)±:Ïpr–ÿ}'oje“ctŽ‘w«(±fŽ‘øæ;‘ª¨Ïpr‘ÿ}'ojŽ‘žk±;‘ª¨ÏfactorŽ‘®†«))‘·fŽ¡‘(Ïc‘ÿ}'errŽ‘=÷2·‘AˆÝ"WARNING!È ÝInÈ ÝSolid::Ž‘lALextract():\n"Ž—´I·‘AˆÝ"RectangleÈ ÝcannotÈ ÝbeŽ‘lALÈ Ýprojected.È Ý"Ž“·Ž¡‘<Ý"ReturningÈ ÝemptyÈ ÝvecŽ’¤ÿÊtorÈ Ý.\n"Ž’üM·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾±vŽ‘Q{«;Ž¡‘(ÂbreakŽ‘D¡h«;Ž¡‘·gŽ¡‘gŽ¡‘±vŽ‘4¿:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÏthisŽ‘ë¶«);ŽŽŽŒ‹–_ Šn ý‘ì«406›­EXTRA•ÃŽCT’2ÐÉ3DLDFPR“G˜·x«1360Ž €n ý•@P‘ÂreturnŽ‘7æ¼±vŽ‘=y«;ޤ ‘ -·gŽŸÂ1361.‘ üSet‘ÕTextremes.ŽŸ·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·Ž¡‘ -ÂvirtualŽ‘/Ôb•QÇo“olŽ‘I/:Ïset‘‰ffŽ‘®extr‘ÿ}'emesŽ‘ðë(‘ª®);ŽŽŽŒ‹—p[ Šn ý‘ì·x«1362–­3DLDFPRÃŽG’®SET‘ÕXEXTREMES“«407Ž €n ý•@PÂ1362.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·ޤ ‘ +ÏiterŽ‘Ë«)±:Ïpr–ÿ}'oje“ctŽ‘w«(±fŽ‘øæ;‘ª¨Ïpr‘ÿ}'ojŽ‘žk±;‘ª¨ÏfactorŽ‘®†«))‘·fŽ¡‘(Ïc‘ÿ}'errŽ‘=÷2·‘AˆÝ"WARNING!È ÝInÈ ÝSolid::Ž‘lALextract():\n"Ž—´I·‘AˆÝ"RectangleÈ ÝcannotÈ ÝbeŽ‘lALÈ Ýprojected.È Ý"Ž“·Ž¡‘<Ý"ReturningÈ ÝemptyÈ ÝvecŽ’¤ÿÊtorÈ Ý.\n"Ž’üM·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾±vŽ‘Q{«;Ž¡‘(ÂbreakŽ‘D¡h«;Ž¡‘·gŽ¡‘gŽ¡‘±vŽ‘4¿:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÏthisŽ‘ë¶«);ŽŽŽŒ‹šYÕ Šn ý‘ì«410›­EXTRA•ÃŽCT’2ÐÉ3DLDFPR“G˜·x«1365Ž €n ý•@P‘ÂreturnŽ‘7æ¼±vŽ‘=y«;ޤ ‘ +·gŽŸÂ1366.‘ üSet‘ÕTextremes.ŽŸ·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·Ž¡‘ +ÂvirtualŽ‘/Ôb•QÇo“olŽ‘I/:Ïset‘‰ffŽ‘®extr‘ÿ}'emesŽ‘ðë(‘ª®);ŽŽŽŒ‹›k. Šn ý‘ì·x«1367–­3DLDFPRÃŽG’®SET‘ÕXEXTREMES“«411Ž €n ý•@PÂ1367.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·ޤ ‘ Âb•QÇo“olŽ‘#¡gSolidŽ‘>B«::‘Ïset‘‰ffŽ‘®extr‘ÿ}'emesŽ‘7Á«(‘ª®)Ž¡‘ ·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝSolid::setŽ‘kÆÜ_extremes()"Ž’®8·‘ÇÝ"\n"Ž‘Œ·‘ÇÏ ushŽ‘€«;ަ‘Âv‘ÿ\ralarra®9yŽ‘=ZC·hÂrealŽ‘]Ù·i‘UU±vޑЫ;ަ‘±vŽ‘4¿:Ïr‘ÿ}'esizeŽ‘i«(6Ž‘±;‘ª¨«0Ž‘ª©);‘±=·‘Ó«LDF›X*2002.12.13.–zHAdded.“Needed–X+for“compiling“under“GNU/Lin¸ãux“using“GCC˜onŽ¡‘(the–UUIn¸ãtel“i686“computer“gwdu101.gwdg.de.‘o·±=Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂP®9athŽ‘æ¹·Ž‘ æºi‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=+M«=‘ÇÏp‘ÿ}'athsŽ–Wű:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏp‘ÿ}'athsŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘ÂifŽ‘)´û«(·:«(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ‘®extr‘ÿ}'emesŽ‘6Á‰«(‘ª¨))‘·fŽ¡‘(Ïc‘ÿ}'errŽ‘Bp×·‘»-Ý"ERROR!È ÝInÈ ÝSolid::seŽ‘pºñt_extremes():\n"Ž’ÌüV·Ž¡‘<Ý"Path::set_extremes(Ž’¤ÿÊ)È ÝreturnedÈ Ýfalse.È Ý"Ž’ ·‘ÇÝ"ReturningÈ Ýfalse.\n\Ž‘kÆÜn"Ž‘y”V·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾ÏfalseŽ‘`–«;Ž¡‘·gŽ¡‘±vŽ‘%ûØ«=‘Ç(·Ž‘Ž‘ @@ -4992,42 +5058,42 @@ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ‘®extr‘ÿ}'emesŽ‘6Á‰«(‘ª¨))‘·fŽ¡‘(Ïc‘ÿ}'errŽ‘Bp×·‘»-Ý"ERROR!È ÝInÈ ÝSolid::seŽ‘pºñt_extremes():\n"Ž’ÌüV·Ž¡‘<Ý"Path::set_extremes(Ž’¤ÿÊ)È ÝreturnedÈ Ýfalse.È Ý"Ž’ ·‘ÇÝ"ReturningÈ Ýfalse.\n\Ž‘kÆÜn"Ž‘y”V·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾ÏfalseŽ‘`–«;Ž¡‘·gŽ¡‘±vŽ‘%ûØ«=‘Ç(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïget‘‰ffŽ‘®extr‘ÿ}'emesŽ‘7D`«(‘ª¨);Ž¡‘ÂforŽ‘/艫(Âin®9tŽ‘¤÷±iŽ‘Þ«=‘Ç0Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«3Ž“;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘±=·‘ÿý«Minima.‘o·±=Ž¡‘·fŽ¡‘(Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘|U«[±iŽ›qô«]–Ç=“ÏminŽ‘ì-«(Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘TQ«[±iŽ˜«]±;‘ª¨vŽ‘ße«[±iŽ˜«]);Ž¡‘·gŽ¡‘ÂforŽ‘/艫(Âin®9tŽ‘¤÷±iŽ‘Þ«=‘Ç3Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«6Ž“;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘±=·‘ÿý«Maxima.‘o·±=Ž¡‘·fŽ¡‘(Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘|U«[±iŽ›qô«]–Ç=“ÏmaxŽ‘k³«(Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘TQ«[±iŽ˜«]±;‘ª¨vŽ‘ße«[±iŽ˜«]);Ž¡‘·gŽ¡‘gŽ¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂCircleŽ‘!¸·Ž‘&¸‚i‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=+M«=‘ÇÏcir‘ÿ}'clesŽ–S|±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏcir‘ÿ}'clesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘ÂifŽ‘)´û«(·:«(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ‘®extr‘ÿ}'emesŽ‘6Á‰«(‘ª¨))‘·fŽ¡‘(Ïc‘ÿ}'errŽ‘Bp×·‘»-Ý"ERROR!È ÝInÈ ÝSolid::seŽ‘pºñt_extremes():\n"Ž’ÌüV·Ž¡‘<Ý"Path::set_extremes(Ž’¤ÿÊ)È ÝreturnedÈ Ýfalse.È Ý"Ž’ ·‘ÇÝ"ReturningÈ Ýfalse.\n\Ž‘kÆÜn"Ž‘y”V·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾ÏfalseŽ‘`–«;Ž¡‘·gŽ¡‘±vŽ‘%ûØ«=‘Ç(·Ž‘Ž‘ -ÏiterŽ‘Ë«)±:Ïget‘‰ffŽ‘®extr‘ÿ}'emesŽ‘7D`«(‘ª¨);Ž¡‘ÂforŽ‘/艫(Âin®9tŽ‘¤÷±iŽ‘Þ«=‘Ç0Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«3Ž“;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘±=·‘ÿý«Minima.‘o·±=Ž¡‘·fŽ¡‘(Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘|U«[±iŽ›qô«]–Ç=“ÏminŽ‘ì-«(Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘TQ«[±iŽ˜«]±;‘ª¨vŽ‘ße«[±iŽ˜«]);ŽŽŽŒ‹˜q« Šn ý‘ì«408–­SET‘ÕXEXTREMES’®3DLDFPRÃŽG“·x«1362Ž €n ý•@P‘·gޤ ‘ÂforŽ‘/艫(Âin®9tŽ‘¤÷±iŽ‘Þ«=‘Ç3Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«6Ž“;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘±=·‘ÿý«Maxima.‘o·±=Ž¡‘·fŽ¡‘(Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘|U«[±iŽ›qô«]–Ç=“ÏmaxŽ‘k³«(Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘TQ«[±iŽ˜«]±;‘ª¨vŽ‘ße«[±iŽ˜«]);Ž¡‘·gŽ¡‘gŽ¡‘ÂforŽ‘&QË«(Âv®9ectorŽ‘ªH·hÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘E=L·Ž‘J=Mi‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=Ú¼«=‘v‡Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ–9i×±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘i@ÏiterŽ‘ªÅ·6«=‘v‡Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ“±:ÏendŽ‘ಫ(˜);Ž¡‘2€Ÿÿ®+‘ÿ+ŽŽ‘>G%ÏiterŽ‘O#«)‘·fŽ¡‘ÂifŽ‘)´û«(·:«(·Ž‘Ž‘ +ÏiterŽ‘Ë«)±:Ïget‘‰ffŽ‘®extr‘ÿ}'emesŽ‘7D`«(‘ª¨);Ž¡‘ÂforŽ‘/艫(Âin®9tŽ‘¤÷±iŽ‘Þ«=‘Ç0Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«3Ž“;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘±=·‘ÿý«Minima.‘o·±=Ž¡‘·fŽ¡‘(Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘|U«[±iŽ›qô«]–Ç=“ÏminŽ‘ì-«(Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘TQ«[±iŽ˜«]±;‘ª¨vŽ‘ße«[±iŽ˜«]);ŽŽŽŒ‹œl~ Šn ý‘ì«412–­SET‘ÕXEXTREMES’®3DLDFPRÃŽG“·x«1367Ž €n ý•@P‘·gޤ ‘ÂforŽ‘/艫(Âin®9tŽ‘¤÷±iŽ‘Þ«=‘Ç3Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«6Ž“;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘±=·‘ÿý«Maxima.‘o·±=Ž¡‘·fŽ¡‘(Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘|U«[±iŽ›qô«]–Ç=“ÏmaxŽ‘k³«(Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘TQ«[±iŽ˜«]±;‘ª¨vŽ‘ße«[±iŽ˜«]);Ž¡‘·gŽ¡‘gŽ¡‘ÂforŽ‘&QË«(Âv®9ectorŽ‘ªH·hÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘E=L·Ž‘J=Mi‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=Ú¼«=‘v‡Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ–9i×±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘i@ÏiterŽ‘ªÅ·6«=‘v‡Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ“±:ÏendŽ‘ಫ(˜);Ž¡‘2€Ÿÿ®+‘ÿ+ŽŽ‘>G%ÏiterŽ‘O#«)‘·fŽ¡‘ÂifŽ‘)´û«(·:«(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ‘®extr‘ÿ}'emesŽ‘6Á‰«(‘ª¨))‘·fŽ¡‘(Ïc‘ÿ}'errŽ‘Bp×·‘»-Ý"ERROR!È ÝInÈ ÝSolid::seŽ‘pºñt_extremes():\n"Ž’ÌüV·Ž¡‘<Ý"Path::set_extremes(Ž’¤ÿÊ)È ÝreturnedÈ Ýfalse.È Ý"Ž’ ·‘ÇÝ"ReturningÈ Ýfalse.\n\Ž‘kÆÜn"Ž‘y”V·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾ÏfalseŽ‘`–«;Ž¡‘·gŽ¡‘±vŽ‘%ûØ«=‘Ç(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïget‘‰ffŽ‘®extr‘ÿ}'emesŽ‘7D`«(‘ª¨);Ž¡‘ÂforŽ‘/艫(Âin®9tŽ‘¤÷±iŽ‘Þ«=‘Ç0Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«3Ž“;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘±=·‘ÿý«Minima.‘o·±=Ž¡‘·fŽ¡‘(Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘|U«[±iŽ›qô«]–Ç=“ÏminŽ‘ì-«(Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘TQ«[±iŽ˜«]±;‘ª¨vŽ‘ße«[±iŽ˜«]);Ž¡‘·gŽ¡‘ÂforŽ‘/艫(Âin®9tŽ‘¤÷±iŽ‘Þ«=‘Ç3Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«6Ž“;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘±=·‘ÿý«Maxima.‘o·±=Ž¡‘·fŽ¡‘(Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘|U«[±iŽ›qô«]–Ç=“ÏmaxŽ‘k³«(Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘TQ«[±iŽ˜«]±;‘ª¨vŽ‘ße«[±iŽ˜«]);Ž¡‘·gŽ¡‘gŽ¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂRectangleŽ‘5”ê·Ž‘:”ëi‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=+M«=‘ÇÏr–ÿ}'e“ctanglesŽ–.g]±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏr–ÿ}'e“ctanglesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘ÂifŽ‘)´û«(·:«(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ‘®extr‘ÿ}'emesŽ‘6Á‰«(‘ª¨))‘·fŽ¡‘(Ïc‘ÿ}'errŽ‘Bp×·‘»-Ý"ERROR!È ÝInÈ ÝSolid::seŽ‘pºñt_extremes():\n"Ž’ÌüV·Ž¡‘<Ý"Path::set_extremes(Ž’¤ÿÊ)È ÝreturnedÈ Ýfalse.È Ý"Ž’ ·‘ÇÝ"ReturningÈ Ýfalse.\n\Ž‘kÆÜn"Ž‘y”V·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂreturnŽ‘Kæ¾ÏfalseŽ‘`–«;Ž¡‘·gŽ¡‘±vŽ‘%ûØ«=‘Ç(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïget‘‰ffŽ‘®extr‘ÿ}'emesŽ‘7D`«(‘ª¨);Ž¡‘ÂforŽ‘/艫(Âin®9tŽ‘¤÷±iŽ‘Þ«=‘Ç0Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«3Ž“;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘±=·‘ÿý«Minima.‘o·±=Ž¡‘·fŽ¡‘(Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘|U«[±iŽ›qô«]–Ç=“ÏminŽ‘ì-«(Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘TQ«[±iŽ˜«]±;‘ª¨vŽ‘ße«[±iŽ˜«]);Ž¡‘·gŽ¡‘ÂforŽ‘/艫(Âin®9tŽ‘¤÷±iŽ‘Þ«=‘Ç3Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«6Ž“;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘±=·‘ÿý«Maxima.‘o·±=Ž¡‘·fŽ¡‘(Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘|U«[±iŽ›qô«]–Ç=“ÏmaxŽ‘k³«(Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘TQ«[±iŽ˜«]±;‘ª¨vŽ‘ße«[±iŽ˜«]);Ž¡‘·gŽ¡‘gŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝSolid::set_Ž‘kÆÜextremes()"Ž’¨Ô;·‘ÇÝ"\n"Ž‘Œ·‘ÇÏ ushŽ‘€«;Ž¡‘ÂreturnŽ‘7æ¼ÏtrueŽ‘J«T«;Ž¡‘ -·gŽ©Â1363.‘ üGet‘ÕTextremes.ŽŸ·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·Ž¡‘ +·gŽ©Â1368.‘ üGet‘ÕTextremes.ŽŸ·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·Ž¡‘ ÂinlineŽ‘)ŠIvirtualŽ‘OconstŽ‘mB¾v‘ÿ\ralarra®9yŽ’–œÿ·hÂrealŽ‘]Ù·i‘UUÏget‘‰ffŽ‘®extr‘ÿ}'emesŽ‘:™µ«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7æ¼Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ’‹ë «;Ž¡‘ -·gަÂ1364.‘ üGet–ÕTminim®9um“z.ŽŸ·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·ŽŽŽŒ‹™ƒ Šn ý‘ì·x«1364›­3DLDFPRÃŽG’³GET–ÕXMINIMUM“Z˜«409Ž €n ý•@P‘ -ÂvirtualŽ‘/ÔrealŽ‘FAÏget‘‰ffŽ–®minimum‘‰ffŽ“zŽ’‰žÚ«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŸÂ1365.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·ޤ ‘ +·gަÂ1369.‘ üGet–ÕTminim®9um“z.ŽŸ·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·ŽŽŽŒ‹~R Šn ý‘ì·x«1369›­3DLDFPRÃŽG’³GET–ÕXMINIMUM“Z˜«413Ž €n ý•@P‘ +ÂvirtualŽ‘/ÔrealŽ‘FAÏget‘‰ffŽ–®minimum‘‰ffŽ“zŽ’‰žÚ«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŸÂ1370.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·ޤ ‘ ÂrealŽ‘ ³/SolidŽ‘;1 «::‘Ïget‘‰ffŽ–®minimum‘‰ffŽ“zŽ‘D]Ü«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"EnteringÈ ÝSolid::getŽ‘kÆÜ_minimum_z()"Ž’³T5·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"projective_extremesŽ‘kÆÜ[4]È Ý==È Ý"Ž’™D·‘ÇÏpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘VËi«[4Ž‘]–Ç·“Ïend‘‚ØlŽ‘ò·“Ï ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"ExitingÈ ÝSolid::get_Ž‘kÆÜminimum_z()"Ž’®8·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ÂreturnŽ‘7æ¼Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ’‹ë «[4Ž‘];Ž¡‘ -·gŽŸÂ1366.‘ üGet–ÕTmaxim®9um“z.ަ·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·Ž¡‘ -ÂvirtualŽ‘/ÔrealŽ‘FAÏget‘‰ffŽ–®maximum‘‰ffŽ“zŽ’Š®«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŸÂ1367.ަ·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·Ž¡‘ +·gŽŸÂ1371.‘ üGet–ÕTmaxim®9um“z.ަ·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·Ž¡‘ +ÂvirtualŽ‘/ÔrealŽ‘FAÏget‘‰ffŽ–®maximum‘‰ffŽ“zŽ’Š®«(‘ª®)‘UUÂconstŽ‘*¢«;ŽŸÂ1372.ަ·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·Ž¡‘ ÂrealŽ‘ ³/SolidŽ‘;1 «::‘Ïget‘‰ffŽ–®maximum‘‰ffŽ“zŽ‘Em«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"EnteringÈ ÝSolid::getŽ‘kÆÜ_maximum_z()"Ž’³T5·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"projective_extremesŽ‘kÆÜ[5]È Ý==È Ý"Ž’™D·‘ÇÏpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘VËi«[5Ž‘]–Ç·“Ïend‘‚ØlŽ‘ò·“Ï ushŽ‘€«;Ž¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"ExitingÈ ÝSolid::get_Ž‘kÆÜmaximum_z()"Ž’®8·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ÂreturnŽ‘7æ¼Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ’‹ë «[5Ž‘];Ž¡‘ -·gŽŸÂ1368.› üGet–ÕTmean“z.˜«[¬LDF‘T2003.05.16.«]Ž‘Zˆ6Added–UUthis“function.ަ·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·Ž¡‘ -ÂvirtualŽ‘/ÔrealŽ‘FAÏget‘‰ffŽ–®me‘ÿ}'an‘‰ffŽ“zŽ‘v÷ «(‘ª®)‘UUÂconstŽ‘*¢«;ŽŸÂ1369.ަ·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·Ž¡‘ +·gŽŸÂ1373.› üGet–ÕTmean“z.˜«[¬LDF‘T2003.05.16.«]Ž‘Zˆ6Added–UUthis“function.ަ·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·Ž¡‘ +ÂvirtualŽ‘/ÔrealŽ‘FAÏget‘‰ffŽ–®me‘ÿ}'an‘‰ffŽ“zŽ‘v÷ «(‘ª®)‘UUÂconstŽ‘*¢«;ŽŸÂ1374.ަ·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·Ž¡‘ ÂrealŽ‘ ³/SolidŽ‘;1 «::‘Ïget‘‰ffŽ–®me‘ÿ}'an‘‰ffŽ“zŽ‘1¶«(‘ª®)‘UUÂconstŽŽ¡‘ ·fŽ¡‘ÂreturnŽ‘7漫((Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘TQ«[4Ž›]–8à+“Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘V=1«[5Ž˜])±=«2Ž˜);Ž¡‘ -·gŽŸÂ1370.‘ üSuppress‘ÕToutput.ަ·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·Ž¡‘ -ÂvirtualŽ‘/Ôv®9oidŽ‘H‹¬Ïsuppr‘ÿ}'ess‘‰ffŽ‘®outputŽ’r.«(‘ª®);ŽŽŽŒ‹š’Ê Šn ý‘ì«410–­SUPPRESS‘ÕXOUTPUT’ e÷3DLDFPRÃŽG“·x«1371Ž €n ý•@PÂ1371.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·ޤ ‘ +·gŽŸÂ1375.‘ üSuppress‘ÕToutput.ަ·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·Ž¡‘ +ÂvirtualŽ‘/Ôv®9oidŽ‘H‹¬Ïsuppr‘ÿ}'ess‘‰ffŽ‘®outputŽ’r.«(‘ª®);ŽŽŽŒ‹ž Šn ý‘ì«414–­SUPPRESS‘ÕXOUTPUT’ e÷3DLDFPRÃŽG“·x«1376Ž €n ý•@PÂ1376.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙSolidŽ‘={´«::‘Ïsuppr‘ÿ}'ess‘‰ffŽ‘®outputŽ‘E憫(‘ª®)Ž¡‘ ·fŽ¡‘Ïdo‘‰ffŽ‘®outputŽ‘A½M«=‘ÇÏfalseŽ‘v\«;Ž¡‘ÂreturnŽ‘4‘g«;Ž¡‘ -·gŽŸÂ1372.‘ üUnsuppress‘ÕToutput.ަ·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·Ž¡‘ 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üOutput.“«[¬LDF‘T2002.10.02.«]Ž‘Zˆ6In‘UUÂPictureŽ‘)ñf«::‘ÏoutputŽ‘D«(‘ª®),‘UUÏshap‘ÿ}'esŽ‘#™3«is–UUsorted“according“to“the“v‘ÿqÇalues“inŽ¡Ïpr–ÿ}'oje“ctive‘‰ffŽ‘®extr“emesŽ‘W¸á«for–´eacš¸ãh“ÂShapQÇeŽ‘" «.‘wHo˜w˜ev˜er,‘Ì^it's“pGossible“(and“ev˜en“lik˜ely)“that“the“individual“ÂP®9athsŽ‘$ƒÀ«inŽ¡a‘Ü ÂSolidŽ‘!5ë«are–Ü not“ordered“in“sucš¸ãh“a“w˜a˜y“that“they“will“bGe“output“in“the“correct“order.‘åTherefore,‘ý·I‘ÛçdeclareŽ¡a‘™Âv®9ectorŽ‘#ºá·hÂShapQÇeŽ‘"ü¦·Ž‘'ü§i‘™±sŽ‘ Ñ2«and–™put“the“ÂP®9athsŽ‘%;Ò«from“Ïp‘ÿ}'athsŽ‘¡F«,‘?jÏcir‘ÿ}'clesŽ‘ ËΫ,‘?jÏel‘‚ØlipsesŽ‘$ÁÛ«,‘?jÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘:2º«,‘?jand“Ïr–ÿ}'e“ctanglesŽ‘3Áw«on¸ãtoŽ¡it.›FôThen–ñ¹I‘ñ‘sort“±sŽ‘ “r«and“call“ÏoutputŽ‘!ù«(‘ª®)“for“eac¸ãh“ÂShapQÇeŽ‘"ÝÆ«.˜Currenš¸ãtly‘ÿ*ª,‘ÒÏoutputŽ‘!(«(‘ª®)“will“resolv˜e“to“ÂP®9athŽ‘ƒ!«::‘ÏoutputŽ‘D«(‘ª®),Ž¡bšGecause‘zÏoutputŽ‘ º«(‘ª®)–zhasn't“b˜een“o•¸ãv“erloaded–zfor“ÂCircleŽ‘!d¦«,‘?ÂEllipseŽ‘$û«,‘?ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘Dó«,‘?or“ÂRectangleŽ‘8B‰«(and“probablyŽ¡w¸ãon't‘UUbGe).Ž¡‘ -The›Àin•¸ãv“oGcation˜of˜Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘.j«(‘ª®)˜in˜eac“h˜of˜the˜four˜lo•Gops˜dep“ends˜on˜the˜fact˜that˜ÂP®9athŽ‘£(«::‘Ïextr‘ÿ}'actŽ‘Âs«(‘ª®)˜returnsŽ¡a‘{:Âv®9ectorŽ‘( ¼«conš¸ãtaining–{:only“one“elemen˜t.‘ãuThat's“wh˜y“I‘zîuse“Ïfr‘ÿ}'ontŽ‘ÄË«(‘ª®).‘ãuThere“is“no“opGerator“or“function“forŽ¡concatenating‘UUÂv®9ectorsŽ‘'ˆÙ«,–UUat“least“I“couldn't“ nd“one“in“Stroustrup.‘qÇTO“DO:“Get“reference!ަ·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·Ž¡‘ -ÂvirtualŽ‘/Ôv®9oidŽ‘H‹¬ÏoutputŽ‘ešì«(‘ª®);ŽŽŽŒ‹›ž  Šn ý‘ì·x«1375–­3DLDFPRÃŽG’8\/OUTPUT“«411Ž €n ý•@PÂ1375.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·ޤ ‘ +The›Àin•¸ãv“oGcation˜of˜Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘.j«(‘ª®)˜in˜eac“h˜of˜the˜four˜lo•Gops˜dep“ends˜on˜the˜fact˜that˜ÂP®9athŽ‘£(«::‘Ïextr‘ÿ}'actŽ‘Âs«(‘ª®)˜returnsŽ¡a‘{:Âv®9ectorŽ‘( ¼«conš¸ãtaining–{:only“one“elemen˜t.‘ãuThat's“wh˜y“I‘zîuse“Ïfr‘ÿ}'ontŽ‘ÄË«(‘ª®).‘ãuThere“is“no“opGerator“or“function“forŽ¡concatenating‘UUÂv®9ectorsŽ‘'ˆÙ«,–UUat“least“I“couldn't“ nd“one“in“Stroustrup.‘qÇTO“DO:“Get“reference!ަ·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·Ž¡‘ +ÂvirtualŽ‘/Ôv®9oidŽ‘H‹¬ÏoutputŽ‘ešì«(‘ª®);ŽŽŽŒ‹Ÿ˜ß Šn ý‘ì·x«1380–­3DLDFPRÃŽG’8\/OUTPUT“«415Ž €n ý•@PÂ1380.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙSolidŽ‘={´«::‘ÏoutputŽ‘D«(‘ª®)Ž¡‘ ·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝSolid::outŽ‘kÆÜput().\n"Ž’›)«;ަ‘Âv®9ectorŽ‘3ªJ·hÂShapQÇeŽ‘"Ab·Ž‘'Aci‘UU±sŽ‘U«;ަ‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂP®9athŽ‘æ¹·Ž‘ æºi‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=+M«=‘ÇÏp‘ÿ}'athsŽ–Wű:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏp‘ÿ}'athsŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)Ž¡‘±sŽ‘"°:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«((·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïget‘‰ffŽ‘®c‘ÿ}'opyŽ‘$ô«(‘ª¨));Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂCircleŽ‘!¸·Ž‘&¸‚i‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=+M«=‘ÇÏcir‘ÿ}'clesŽ–S|±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏcir‘ÿ}'clesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)Ž¡‘±sŽ‘"°:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«((·Ž‘Ž‘ @@ -5036,7 +5102,7 @@ ÏiterŽ‘Ë«)±:Ïget‘‰ffŽ‘®c‘ÿ}'opyŽ‘$ô«(‘ª¨));Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂRectangleŽ‘5”ê·Ž‘:”ëi‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=+M«=‘ÇÏr–ÿ}'e“ctanglesŽ–.g]±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘ÇÏr–ÿ}'e“ctanglesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)Ž¡‘±sŽ‘"°:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«((·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïget‘‰ffŽ‘®c‘ÿ}'opyŽ‘$ô«(‘ª¨));Ž¡‘ÏsortŽ‘&2Ô«(±sŽ‘°:Ïb–ÿ}'e“ginŽ‘¾¨«(–ª¨)±;“sŽ‘Z¨:ÏendŽ‘ಫ(“)±;“ÂCompareu½‰™šs4Ž–Ôwmaxim®9umu½‰™šs4Ž“zŽ‘pOŠ«(“));Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂShapQÇeŽ‘"Ab·Ž‘'Aci‘«::Ž‘ŽBÏiter‘ÿ}'atorŽ‘)™7iterŽ‘=+M«=‘DZsŽ–w:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ“:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘«(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:ÏoutputŽ‘@«(‘ª¨);Ž¡‘ÂdeleteŽ‘?ƽ«(·Ž‘ÏiterŽ‘Êÿ«);Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝSolid::outpŽ‘kÆÜut().\n"Ž’–M,«;Ž¡‘ -·gŽŸÂ1376.‘ üDra®9wing–ÕTand“ lling.ŽŽŽŒ‹œ¨ Šn ý‘ì«412›­DRA‘ÿ8WING–ÕXAND“FILLING’ö‘E3DLDFPRÃŽG˜·x«1377Ž €n ý•@PÂ1377.‘ ü«ProGcess–èËvš¸ãectors“for“Ïdr‘ÿ}'aw‘«().‘M™[¬LDF‘T2002.10.09.«]Ž‘RéIAdded“this“section.‘M™The“same“things“are“done“to“eac˜hޤ of– ¦the“ÂShapQÇeŽ‘'-Y·Ž‘0N«v¸ãectors“Ïp‘ÿ}'athsŽ‘±S«,‘SzÏel‘‚ØlipsesŽ‘$Õë«,‘SzÏcir‘ÿ}'clesŽ‘ ßÞ«,‘SzÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘:FÊ«,›Szand“Ïr–ÿ}'e“ctanglesŽ‘/Àë«,˜so“I'v¸ãe“put“the“coGde“in“thisŽ¡named–UUsection.‘qÇEacš¸ãh“time“it“it's“used,“ÏiterŽ‘u¨«is“an“iterator“for“a“di eren˜t“v˜ector.Ž©·h›ª¨«ProGcess–UUv¸ãectors“for“Ïdr‘ÿ}'awŽ‘~0«(‘ª®)‘@­1377˜·i‘ÇŽ¡‘ +·gŽŸÂ1381.‘ üDra®9wing–ÕTand“ lling.ŽŽŽŒ‹ ¢â Šn ý‘ì«416›­DRA‘ÿ8WING–ÕXAND“FILLING’ö‘E3DLDFPRÃŽG˜·x«1382Ž €n ý•@PÂ1382.‘ ü«ProGcess–èËvš¸ãectors“for“Ïdr‘ÿ}'aw‘«().‘M™[¬LDF‘T2002.10.09.«]Ž‘RéIAdded“this“section.‘M™The“same“things“are“done“to“eac˜hޤ of– ¦the“ÂShapQÇeŽ‘'-Y·Ž‘0N«v¸ãectors“Ïp‘ÿ}'athsŽ‘±S«,‘SzÏel‘‚ØlipsesŽ‘$Õë«,‘SzÏcir‘ÿ}'clesŽ‘ ßÞ«,‘SzÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘:FÊ«,›Szand“Ïr–ÿ}'e“ctanglesŽ‘/Àë«,˜so“I'v¸ãe“put“the“coGde“in“thisŽ¡named–UUsection.‘qÇEacš¸ãh“time“it“it's“used,“ÏiterŽ‘u¨«is“an“iterator“for“a“di eren˜t“v˜ector.Ž©·h›ª¨«ProGcess–UUv¸ãectors“for“Ïdr‘ÿ}'awŽ‘~0«(‘ª®)‘@­1382˜·i‘ÇŽ¡‘ fŽ¡‘ÂifŽ‘´ú«(Ïc‘‰ffŽ‘®iterŽ‘ÙÀ·6«=‘DZvŽ‘ûÕ:ÏendŽ‘ಫ(‘ª¨))‘·fŽ¡‘Ïc‘ÿ}'olor‘‰ffŽ‘®ptrŽ‘GÇ@«=‘Ç·Ž‘ÇÏc‘‰ffŽ‘®iterŽ‘!YÁŸÿ®+‘ÿ+ŽŽ‘- á«;Ž¡‘·gŽ¡‘«(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ–® l‘‚Øl‘‰ffŽ“dr‘ÿ}'aw‘‰ffŽ“valueŽ‘N\ö«(ÝDRAWŽ‘†\«);‘±=·‘ÿý«LDF–UU2002.10.09.‘qÇAdded“coGde“for“handling“Ïdr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘2AŽ«.‘o·±=Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"color_ptr->get_use_Ž‘kÆÜname()È Ý==È Ý"Ž’¨Ô;·‘ÇÏc‘ÿ}'olor‘‰ffŽ‘®ptrŽ‘'Ç=Ÿ±~ŽŽ‘-Ç>Ïget‘‰ffŽ–®use‘‰ffŽ“nameŽ‘h}D«(‘ª¨)–Ç·“Ïend‘‚ØlŽ‘ò·“Ï ushŽ‘€«;Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(Ïc‘ÿ}'olor‘‰ffŽ‘®ptrŽ‘%%Ÿ±~ŽŽ‘+&Ïget‘‰ffŽ–®use‘‰ffŽ“nameŽ‘e¶,«(‘ª¨)–Ç·“ÏfalseŽ‘v\«)‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"AllocatingÈ ÝmemoryÈ ÝfŽ‘kÆÜorÈ ÝColor.\n"Ž’®8·‘ÇÏ ushŽ‘€«;ަ‘ÂColorŽ‘=¤ö·Ž‘B¤÷±cŽ‘I¿ê«=‘ÇÂColorŽ‘ º«::Ž‘&¤øÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“c‘ÿ}'olorŽ‘nø«(‘ª¨);ަ‘·Ž‘#±cŽ‘*÷«=‘Ç·Ž‘ÇÏc‘ÿ}'olor‘‰ffŽ‘®ptrŽ‘.Ç>«;Ž¡‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ–®dr›ÿ}'aw‘‰ffŽ“c˜olorŽ‘>«(±cŽ‘SÛ«);Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"color_ptr->get_nameŽ‘kÆÜ()È Ý==È Ý"Ž’“ÔG·‘ÇÏc‘ÿ}'olor‘‰ffŽ‘®ptrŽ‘'Ç=Ÿ±~ŽŽ‘-Ç>Ïget‘‰ffŽ‘®nameŽ‘VÀþ«(‘ª¨)–Ç·“Ïend‘‚ØlŽ‘ò·“Ï ushŽ‘€«;Ž¡‘(·Ž‘Ž‘ @@ -5044,13 +5110,13 @@ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ–® l‘‚Øl‘‰ffŽ“c‘ÿ}'olorŽ‘5I:«(Âstaticu½‰™šs4Ž‘ÔwcastŽ‘4}¢·hÂColorŽ‘¤ó·Ž‘$¤ôi«(0Ž‘));Ž¡‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ–®dash‘‰ffŽ“p‘ÿ}'atternŽ‘FÝ–«(Ïddashe‘ÿ}'dŽ‘#G«);Ž¡‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ‘®p‘ÿ}'enŽ‘ʘ«(Ïpp‘ÿ}'enŽ‘6#«);Ž¡‘ -·gŽŸ ­This–ÕXco(i·hÂconstŽ‘~!ColorŽ‘>v“·Ž‘Cv”i‘¨Ô±vŽ‘ /Ñ«=‘R@ÂColorsŽ‘%+«::Ž‘+¹\Ïdefault‘‰ffŽ–®c›ÿ}'olor‘‰ffŽ“ve˜ctorŽ’€Ó–±;‘ª¨ÂconstŽ‘ (ÉstringŽŽ¡‘Ïddashe‘ÿ}'dŽ‘D,«=‘ÇÝ""Ž– Íz±;‘ª¨ÂconstŽ‘ÕJstringŽ‘@ú—Ïpp‘ÿ}'enŽ‘X÷Ò«=‘ÇÝ""Ž“±;‘ª¨ÂPictureŽ‘*œ -«&Ž‘2c(Ïpictur‘ÿ}'eŽ‘T3«=‘ÇÏcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘Dìß«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹´3 Šn ý‘ì·x«1379–­3DLDFPRÃŽG’BßDRA‘ÿ8W“«413Ž €n ý•@PÂ1379.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·ޤ ‘ +«&Ž‘2c(Ïpictur‘ÿ}'eŽ‘T3«=‘ÇÏcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘Dìß«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹¡¯ Šn ý‘ì·x«1384–­3DLDFPRÃŽG’BßDRA‘ÿ8W“«417Ž €n ý•@PÂ1384.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"Î:SolidŽ‘=L«::‘Ïdr‘ÿ}'awŽ‘(ß«(ÂconstŽ‘ûv®9ectorŽ‘=¥K·hÂconstŽ‘ûColorŽ‘=pW·Ž‘BpXi‘%¶±vŽ‘Zs;‘ª¨ÂconstŽ‘¥«stringŽ‘@›YÏddashe‘ÿ}'dŽ‘câj±;‘ª¨ÂconstŽ‘¥«stringŽ‘@›YÏpp‘ÿ}'enŽ‘UÑ|±;‘ª¨ÂPictureŽŽ¡‘2«&Ž‘9Ç#Ïpictur‘ÿ}'eŽ‘XÏù«)‘UUÂconstŽŽ¡‘ -·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝSolid::draŽ‘kÆÜw():"Ž’‰TM·‘ÇÝ"\n"Ž‘Œ·‘ÇÏ ushŽ‘€«;ަ‘ÂSolidŽ‘0Ó.·Ž‘5Ó/±sŽ‘=JG«=‘ÇÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“solidŽ‘IèÓ«(‘ª¨);ަ‘·Ž‘±sŽ‘ w«=‘Ç·Ž‘ÇÏthisŽ‘²Ï«;ަ‘ÂconstŽ‘2*¤ColorŽ‘QÏ—·Ž‘VϘÏc‘ÿ}'olor‘‰ffŽ‘®ptrŽ’€–Õ«=‘ÇÂColorsŽ‘$Ÿö«::Ž‘+.4Ïdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘bª«;ަ‘Âv®9ectorŽ‘3ªJ·hÂconstŽ‘*¢ColorŽ‘=Ï•·Ž‘BÏ–i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûc‘‰ffŽ‘®iterŽ‘_\»«=‘DZvŽ‘ûÕ:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂP®9athŽ‘æ¹·Ž‘ æºi‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZsŽ‘wŸ~ŽŽ‘ wÏp‘ÿ}'athsŽ–#Ʊ:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏp‘ÿ}'athsŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ïdr‘ÿ}'awŽ‘~0«(‘ª®)‘@­1377˜·iŽ¡‘gŽ¡‘Ïc‘‰ffŽ‘®iterŽ‘/Ù«=‘DZvŽ‘ûÕ:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂCircleŽ‘!¸·Ž‘&¸‚i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZsŽ‘wŸ~ŽŽ‘ wÏcir‘ÿ}'clesŽ–(}±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏcir‘ÿ}'clesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ïdr‘ÿ}'awŽ‘~0«(‘ª®)‘@­1377˜·iŽ¡‘gŽ¡‘Ïc‘‰ffŽ‘®iterŽ‘/Ù«=‘DZvŽ‘ûÕ:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂEllipseŽ‘%>.·Ž‘*>/i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZsŽ‘wŸ~ŽŽ‘ wÏel‘‚ØlipsesŽ–+ùб:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏel‘‚ØlipsesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ïdr‘ÿ}'awŽ‘~0«(‘ª®)‘@­1377˜·iŽ¡‘g‘±=·‘ÿýÂforŽ‘“+·±=Ž¡‘Ïc‘‰ffŽ‘®iterŽ‘/Ù«=‘DZvŽ‘ûÕ:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘'«$«(Âv®9ectorŽ‘ªH·hÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘F–¥·Ž‘K–¦i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘Z«=‘¶±sŽ‘fŸ~ŽŽ‘fÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘DYi±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘2ÏiterŽ‘E’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘Aji±:ÏendŽ‘ಫ(‘ª¨);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ïdr‘ÿ}'awŽ‘~0«(‘ª®)‘@­1377˜·iŽ¡‘gŽ¡‘ÂforŽ‘&6¡«(Âv®9ectorŽ‘ªH·hÂRectangleŽ‘5ã·Ž‘:ãi‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W—:«=‘IA±sŽ‘ùAŸ~ŽŽ‘ ùBÏr–ÿ}'e“ctanglesŽ–7™‡±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘NÏiterŽ‘bU·6«=‘IA±sŽ‘ùAŸ~ŽŽ‘ ùBÏr–ÿ}'e“ctanglesŽ“±:ÏendŽ‘ಫ(˜);Ž¡‘2€Ÿÿ®+‘ÿ+ŽŽ‘>G%ÏiterŽ‘O#«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ïdr‘ÿ}'awŽ‘~0«(‘ª®)‘@­1377˜·iŽ¡‘gŽ¡‘Ïpictur‘ÿ}'eŽ‘5Ïð«+=ŽŽ‘H%DÂdynamicu½‰™šs4Ž‘ÔwcastŽ’‹–·hÂShapQÇeŽ‘"Ab·Ž‘'Aci«(±sŽ‘°«);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"ExitingÈ ÝSolid::drawŽ‘kÆÜ():"Ž’„P·‘ÇÝ"\n"Ž‘Œ·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ -gŽŽŽŒ‹žÁ­ Šn ý‘ì«414–­DRA‘ÿ8W’Bß3DLDFPRÃŽG“·x«1380Ž €n ý•@PÂ1380.‘ ü«ProGcess–Ž:vš¸ãectors“for“Ï l‘‚Øl‘‰«().‘v[¬LDF‘T2002.10.09.«]Ž‘T]•Added“this“section.‘vThe“same“things“are“done“to“eac˜hޤ of– ¦the“ÂShapQÇeŽ‘'-Y·Ž‘0N«v¸ãectors“Ïp‘ÿ}'athsŽ‘±S«,‘SzÏel‘‚ØlipsesŽ‘$Õë«,‘SzÏcir‘ÿ}'clesŽ‘ ßÞ«,‘SzÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘:FÊ«,›Szand“Ïr–ÿ}'e“ctanglesŽ‘/Àë«,˜so“I'v¸ãe“put“the“coGde“in“thisŽ¡named–UUsection.‘qÇEacš¸ãh“time“it“it's“used,“ÏiterŽ‘u¨«is“an“iterator“for“a“di eren˜t“v˜ector.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.08.10.«]Ž‘Y;No¸ãw–UUsetting“pšGen“to“Ý""Ž‘[·«,“b˜ecause“I'vš¸ãe“remo˜v˜ed“the“pGen“argumen˜t“from“Ï l‘‚ØlŽ‘H«(‘ª®).ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h›ª¨«ProGcess–UUv¸ãectors“for“Ï l‘‚ØlŽ‘H«(‘ª®)‘@­1380˜·i‘Çޤ ‘ +·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝSolid::draŽ‘kÆÜw():"Ž’‰TM·‘ÇÝ"\n"Ž‘Œ·‘ÇÏ ushŽ‘€«;ަ‘ÂSolidŽ‘0Ó.·Ž‘5Ó/±sŽ‘=JG«=‘ÇÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“solidŽ‘IèÓ«(‘ª¨);ަ‘·Ž‘±sŽ‘ w«=‘Ç·Ž‘ÇÏthisŽ‘²Ï«;ަ‘ÂconstŽ‘2*¤ColorŽ‘QÏ—·Ž‘VϘÏc‘ÿ}'olor‘‰ffŽ‘®ptrŽ’€–Õ«=‘ÇÂColorsŽ‘$Ÿö«::Ž‘+.4Ïdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘bª«;ަ‘Âv®9ectorŽ‘3ªJ·hÂconstŽ‘*¢ColorŽ‘=Ï•·Ž‘BÏ–i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûc‘‰ffŽ‘®iterŽ‘_\»«=‘DZvŽ‘ûÕ:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂP®9athŽ‘æ¹·Ž‘ æºi‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZsŽ‘wŸ~ŽŽ‘ wÏp‘ÿ}'athsŽ–#Ʊ:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏp‘ÿ}'athsŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ïdr‘ÿ}'awŽ‘~0«(‘ª®)‘@­1382˜·iŽ¡‘gŽ¡‘Ïc‘‰ffŽ‘®iterŽ‘/Ù«=‘DZvŽ‘ûÕ:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂCircleŽ‘!¸·Ž‘&¸‚i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZsŽ‘wŸ~ŽŽ‘ wÏcir‘ÿ}'clesŽ–(}±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏcir‘ÿ}'clesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ïdr‘ÿ}'awŽ‘~0«(‘ª®)‘@­1382˜·iŽ¡‘gŽ¡‘Ïc‘‰ffŽ‘®iterŽ‘/Ù«=‘DZvŽ‘ûÕ:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂEllipseŽ‘%>.·Ž‘*>/i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZsŽ‘wŸ~ŽŽ‘ wÏel‘‚ØlipsesŽ–+ùб:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏel‘‚ØlipsesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ïdr‘ÿ}'awŽ‘~0«(‘ª®)‘@­1382˜·iŽ¡‘g‘±=·‘ÿýÂforŽ‘“+·±=Ž¡‘Ïc‘‰ffŽ‘®iterŽ‘/Ù«=‘DZvŽ‘ûÕ:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘'«$«(Âv®9ectorŽ‘ªH·hÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘F–¥·Ž‘K–¦i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘Z«=‘¶±sŽ‘fŸ~ŽŽ‘fÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘DYi±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘2ÏiterŽ‘E’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘Aji±:ÏendŽ‘ಫ(‘ª¨);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ïdr‘ÿ}'awŽ‘~0«(‘ª®)‘@­1382˜·iŽ¡‘gŽ¡‘ÂforŽ‘&6¡«(Âv®9ectorŽ‘ªH·hÂRectangleŽ‘5ã·Ž‘:ãi‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W—:«=‘IA±sŽ‘ùAŸ~ŽŽ‘ ùBÏr–ÿ}'e“ctanglesŽ–7™‡±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘NÏiterŽ‘bU·6«=‘IA±sŽ‘ùAŸ~ŽŽ‘ ùBÏr–ÿ}'e“ctanglesŽ“±:ÏendŽ‘ಫ(˜);Ž¡‘2€Ÿÿ®+‘ÿ+ŽŽ‘>G%ÏiterŽ‘O#«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ïdr‘ÿ}'awŽ‘~0«(‘ª®)‘@­1382˜·iŽ¡‘gŽ¡‘Ïpictur‘ÿ}'eŽ‘5Ïð«+=ŽŽ‘H%DÂdynamicu½‰™šs4Ž‘ÔwcastŽ’‹–·hÂShapQÇeŽ‘"Ab·Ž‘'Aci«(±sŽ‘°«);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"ExitingÈ ÝSolid::drawŽ‘kÆÜ():"Ž’„P·‘ÇÝ"\n"Ž‘Œ·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ +gŽŽŽŒ‹¢¼€ Šn ý‘ì«418–­DRA‘ÿ8W’Bß3DLDFPRÃŽG“·x«1385Ž €n ý•@PÂ1385.‘ ü«ProGcess–Ž:vš¸ãectors“for“Ï l‘‚Øl‘‰«().‘v[¬LDF‘T2002.10.09.«]Ž‘T]•Added“this“section.‘vThe“same“things“are“done“to“eac˜hޤ of– ¦the“ÂShapQÇeŽ‘'-Y·Ž‘0N«v¸ãectors“Ïp‘ÿ}'athsŽ‘±S«,‘SzÏel‘‚ØlipsesŽ‘$Õë«,‘SzÏcir‘ÿ}'clesŽ‘ ßÞ«,‘SzÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘:FÊ«,›Szand“Ïr–ÿ}'e“ctanglesŽ‘/Àë«,˜so“I'v¸ãe“put“the“coGde“in“thisŽ¡named–UUsection.‘qÇEacš¸ãh“time“it“it's“used,“ÏiterŽ‘u¨«is“an“iterator“for“a“di eren˜t“v˜ector.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2003.08.10.«]Ž‘Y;No¸ãw–UUsetting“pšGen“to“Ý""Ž‘[·«,“b˜ecause“I'vš¸ãe“remo˜v˜ed“the“pGen“argumen˜t“from“Ï l‘‚ØlŽ‘H«(‘ª®).ޤŸüÈ„`ÕÁGŽŽ¡·h›ª¨«ProGcess–UUv¸ãectors“for“Ï l‘‚ØlŽ‘H«(‘ª®)‘@­1385˜·i‘Çޤ ‘ fŽ¡‘ÂifŽ‘´ú«(Ïc‘‰ffŽ‘®iterŽ‘ÙÀ·6«=‘DZvŽ‘ûÕ:ÏendŽ‘ಫ(‘ª¨))‘·fŽ¡‘Ïc‘ÿ}'olor‘‰ffŽ‘®ptrŽ‘GÇ@«=‘Ç·Ž‘ÇÏc‘‰ffŽ‘®iterŽ‘!YÁŸÿ®+‘ÿ+ŽŽ‘- á«;Ž¡‘·gŽ¡‘«(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ–® l‘‚Øl‘‰ffŽ“dr‘ÿ}'aw‘‰ffŽ“valueŽ‘N\ö«(ÝFILLŽ‘†\«);Ž¡‘±=·‘ÿý«LDF–UU2002.10.09.‘qÇAdded“coGde“for“handling“Ïdr–ÿ}'aw‘‰ffŽ‘®c“olorŽ‘5–ã«and“Ï l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorŽ‘(íª«.‘o·±=Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"color_ptr->get_use_Ž‘kÆÜname()È Ý==È Ý"Ž’¨Ô;·‘ÇÏc‘ÿ}'olor‘‰ffŽ‘®ptrŽ‘'Ç=Ÿ±~ŽŽ‘-Ç>Ïget‘‰ffŽ–®use‘‰ffŽ“nameŽ‘h}D«(‘ª¨)–Ç·“Ïend‘‚ØlŽ‘ò·“Ï ushŽ‘€«;Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(Ïc‘ÿ}'olor‘‰ffŽ‘®ptrŽ‘%%Ÿ±~ŽŽ‘+&Ïget‘‰ffŽ–®use‘‰ffŽ“nameŽ‘e¶,«(‘ª¨)–Ç·“ÏfalseŽ‘v\«)‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"AllocatingÈ ÝmemoryÈ ÝfŽ‘kÆÜorÈ ÝColor.\n"Ž’®8·‘ÇÏ ushŽ‘€«;ޤ‘ÂColorŽ‘=¤ö·Ž‘B¤÷±cŽ‘I¿ê«=‘ÇÂColorŽ‘ º«::Ž‘&¤øÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“c‘ÿ}'olorŽ‘nø«(‘ª¨);Ž¡‘·Ž‘#±cŽ‘*÷«=‘Ç·Ž‘ÇÏc‘ÿ}'olor‘‰ffŽ‘®ptrŽ‘.Ç>«;ޤ ‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ–® l‘‚Øl‘‰ffŽ“c‘ÿ}'olorŽ‘5I:«(±cŽ‘SÛ«);Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"color_ptr->get_nameŽ‘kÆÜ()È Ý==È Ý"Ž’“ÔG·‘ÇÏc‘ÿ}'olor‘‰ffŽ‘®ptrŽ‘'Ç=Ÿ±~ŽŽ‘-Ç>Ïget‘‰ffŽ‘®nameŽ‘VÀþ«(‘ª¨)–Ç·“Ïend‘‚ØlŽ‘ò·“Ï ushŽ‘€«;Ž¡‘(·Ž‘Ž‘ @@ -5058,13 +5124,13 @@ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ–®dr›ÿ}'aw‘‰ffŽ“c˜olorŽ‘>«(Âstaticu½‰™šs4Ž‘ÔwcastŽ‘4}¢·hÂColorŽ‘¤ó·Ž‘$¤ôi«(0Ž‘));Ž¡‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ–®dash‘‰ffŽ“p‘ÿ}'atternŽ‘FÝ–«(Ý""Ž‘ b«);Ž¡‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ‘®p‘ÿ}'enŽ‘ʘ«(Ý""Ž‘ b«);Ž¡‘ -·gŽŸ ­This–ÕXco‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.08.10.«]Ž‘Y;Remo•¸ãv“ed–UUpšGen“argumen¸ãt,“since“ lling“do˜esn't“use“a“p˜en.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·ޤ ‘ -ÂvirtualŽ‘0W¹v®9oidŽ‘JvÏ l‘‚ØlŽ‘Véi«(ÂconstŽ‘ô‡v®9ectorŽ‘>žÏ·hÂconstŽ‘ô‡ColorŽ‘?c_·Ž‘Dc`i‘:±vŽ‘ kŠ«=‘“ÂColorsŽ‘%ðq«::Ž‘,~¯Ïdefault‘‰ffŽ–®c›ÿ}'olor‘‰ffŽ“ve˜ctorŽ’˜é±;‘ª¨ÂPictureŽŽ¡‘«&Ž‘%Ç!Ïpictur‘ÿ}'eŽ‘G—«=‘ÇÏcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘Dìß«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹ŸЗ Šn ý‘ì·x«1382–­3DLDFPRÃŽG’JŠyFILL“«415Ž €n ý•@PÂ1382.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·ޤ ‘ +·gŽŸ ­This–ÕXcožÏ·hÂconstŽ‘ô‡ColorŽ‘?c_·Ž‘Dc`i‘:±vŽ‘ kŠ«=‘“ÂColorsŽ‘%ðq«::Ž‘,~¯Ïdefault‘‰ffŽ–®c›ÿ}'olor‘‰ffŽ“ve˜ctorŽ’˜é±;‘ª¨ÂPictureŽŽ¡‘«&Ž‘%Ç!Ïpictur‘ÿ}'eŽ‘G—«=‘ÇÏcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘Dìß«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹£Ëj Šn ý‘ì·x«1387–­3DLDFPRÃŽG’JŠyFILL“«419Ž €n ý•@PÂ1387.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙSolidŽ‘={´«::‘Ï l‘‚ØlŽ‘ É÷«(ÂconstŽ‘*¢v®9ectorŽ‘=Ôê·hÂconstŽ‘*¢ColorŽ‘=Ï•·Ž‘BÏ–i‘UU±vŽ‘Š;‘ª¨ÂPictureŽ‘*œ «&Ž‘2c(Ïpictur‘ÿ}'eŽ‘Qkþ«)‘UUÂconstŽŽ¡‘ -·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝSolid::filŽ‘kÆÜl():"Ž’‰TM·‘ÇÝ"\n"Ž‘Œ·‘ÇÏ ushŽ‘€«;ަ‘ÂSolidŽ‘0Ó.·Ž‘5Ó/±sŽ‘=JG«=‘ÇÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“solidŽ‘IèÓ«(‘ª¨);ަ‘·Ž‘±sŽ‘ w«=‘Ç·Ž‘ÇÏthisŽ‘²Ï«;ަ‘ÂconstŽ‘2*¤ColorŽ‘QÏ—·Ž‘VϘÏc‘ÿ}'olor‘‰ffŽ‘®ptrŽ’€–Õ«=‘ÇÂColorsŽ‘$Ÿö«::Ž‘+.4Ïdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘bª«;ަ‘Âv®9ectorŽ‘3ªJ·hÂconstŽ‘*¢ColorŽ‘=Ï•·Ž‘BÏ–i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûc‘‰ffŽ‘®iterŽ‘_\»«=‘DZvŽ‘ûÕ:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂP®9athŽ‘æ¹·Ž‘ æºi‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZsŽ‘wŸ~ŽŽ‘ wÏp‘ÿ}'athsŽ–#Ʊ:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏp‘ÿ}'athsŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ï l‘‚ØlŽ‘H«(‘ª®)‘@­1380˜·iŽ¡‘gŽ¡‘Ïc‘‰ffŽ‘®iterŽ‘/Ù«=‘DZvŽ‘ûÕ:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂCircleŽ‘!¸·Ž‘&¸‚i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZsŽ‘wŸ~ŽŽ‘ wÏcir‘ÿ}'clesŽ–(}±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏcir‘ÿ}'clesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ï l‘‚ØlŽ‘H«(‘ª®)‘@­1380˜·iŽ¡‘gŽ¡‘Ïc‘‰ffŽ‘®iterŽ‘/Ù«=‘DZvŽ‘ûÕ:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂEllipseŽ‘%>.·Ž‘*>/i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZsŽ‘wŸ~ŽŽ‘ wÏel‘‚ØlipsesŽ–+ùб:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏel‘‚ØlipsesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ï l‘‚ØlŽ‘H«(‘ª®)‘@­1380˜·iŽ¡‘gŽ¡‘Ïc‘‰ffŽ‘®iterŽ‘/Ù«=‘DZvŽ‘ûÕ:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘'«$«(Âv®9ectorŽ‘ªH·hÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘F–¥·Ž‘K–¦i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘Z«=‘¶±sŽ‘fŸ~ŽŽ‘fÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘DYi±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘2ÏiterŽ‘E’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘Aji±:ÏendŽ‘ಫ(‘ª¨);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ï l‘‚ØlŽ‘H«(‘ª®)‘@­1380˜·iŽ¡‘gŽ¡‘Ïc‘‰ffŽ‘®iterŽ‘/Ù«=‘DZvŽ‘ûÕ:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘&6¡«(Âv®9ectorŽ‘ªH·hÂRectangleŽ‘5ã·Ž‘:ãi‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W—:«=‘IA±sŽ‘ùAŸ~ŽŽ‘ ùBÏr–ÿ}'e“ctanglesŽ–7™‡±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘NÏiterŽ‘bU·6«=‘IA±sŽ‘ùAŸ~ŽŽ‘ ùBÏr–ÿ}'e“ctanglesŽ“±:ÏendŽ‘ಫ(˜);Ž¡‘2€Ÿÿ®+‘ÿ+ŽŽ‘>G%ÏiterŽ‘O#«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ï l‘‚ØlŽ‘H«(‘ª®)‘@­1380˜·iŽ¡‘gŽ¡‘Ïpictur‘ÿ}'eŽ‘5Ïð«+=ŽŽ‘H%DÂdynamicu½‰™šs4Ž‘ÔwcastŽ’‹–·hÂShapQÇeŽ‘"Ab·Ž‘'Aci«(±sŽ‘°«);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"ExitingÈ ÝSolid::fillŽ‘kÆÜ():"Ž’„P·‘ÇÝ"\n"Ž‘Œ·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ -gŽŽŽŒ‹ ß™ Šn ý‘ì«416–­FILL’JŠy3DLDFPRÃŽG“·x«1383Ž €n ý•@PÂ1383.‘ ü«ProGcess–­õv¸ãectors“for“Ï l‘‚Øldr‘ÿ}'aw‘«().‘{¨[¬LDF‘T2002.10.09.«]Ž‘TÜ‚Added“this“section.‘{¨The“same“things“are“done“toޤ eacš¸ãh–ö‘of“the“ÂShapQÇeŽ‘&Ù/·Ž‘/ÏÁ«v˜ectors“Ïp‘ÿ}'athsŽ‘‡>«,‘ßÏel‘‚ØlipsesŽ‘$¡P«,‘ßÏcir‘ÿ}'clesŽ‘ «C«,‘ßÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘:/«,›ßand“Ïr–ÿ}'e“ctanglesŽ‘/–Ö«,˜so“I'v¸ãe“put“the“coGde“inŽ¡this–UUnamed“section.‘qÇEacš¸ãh“time“it“it's“used,“ÏiterŽ‘u¨«is“an“iterator“for“a“di eren˜t“v˜ector.Ž©›b·h›ª¨«ProGcess–UUv¸ãectors“for“Ï l‘‚Øldr‘ÿ}'awŽ‘$¼À«(‘ª®)‘@­1383˜·i‘ÇŽ¡‘ +·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝSolid::filŽ‘kÆÜl():"Ž’‰TM·‘ÇÝ"\n"Ž‘Œ·‘ÇÏ ushŽ‘€«;ަ‘ÂSolidŽ‘0Ó.·Ž‘5Ó/±sŽ‘=JG«=‘ÇÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“solidŽ‘IèÓ«(‘ª¨);ަ‘·Ž‘±sŽ‘ w«=‘Ç·Ž‘ÇÏthisŽ‘²Ï«;ަ‘ÂconstŽ‘2*¤ColorŽ‘QÏ—·Ž‘VϘÏc‘ÿ}'olor‘‰ffŽ‘®ptrŽ’€–Õ«=‘ÇÂColorsŽ‘$Ÿö«::Ž‘+.4Ïdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘bª«;ަ‘Âv®9ectorŽ‘3ªJ·hÂconstŽ‘*¢ColorŽ‘=Ï•·Ž‘BÏ–i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûc‘‰ffŽ‘®iterŽ‘_\»«=‘DZvŽ‘ûÕ:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂP®9athŽ‘æ¹·Ž‘ æºi‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZsŽ‘wŸ~ŽŽ‘ wÏp‘ÿ}'athsŽ–#Ʊ:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏp‘ÿ}'athsŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ï l‘‚ØlŽ‘H«(‘ª®)‘@­1385˜·iŽ¡‘gŽ¡‘Ïc‘‰ffŽ‘®iterŽ‘/Ù«=‘DZvŽ‘ûÕ:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂCircleŽ‘!¸·Ž‘&¸‚i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZsŽ‘wŸ~ŽŽ‘ wÏcir‘ÿ}'clesŽ–(}±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏcir‘ÿ}'clesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ï l‘‚ØlŽ‘H«(‘ª®)‘@­1385˜·iŽ¡‘gŽ¡‘Ïc‘‰ffŽ‘®iterŽ‘/Ù«=‘DZvŽ‘ûÕ:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂEllipseŽ‘%>.·Ž‘*>/i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZsŽ‘wŸ~ŽŽ‘ wÏel‘‚ØlipsesŽ–+ùб:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏel‘‚ØlipsesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ï l‘‚ØlŽ‘H«(‘ª®)‘@­1385˜·iŽ¡‘gŽ¡‘Ïc‘‰ffŽ‘®iterŽ‘/Ù«=‘DZvŽ‘ûÕ:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘'«$«(Âv®9ectorŽ‘ªH·hÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘F–¥·Ž‘K–¦i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘Z«=‘¶±sŽ‘fŸ~ŽŽ‘fÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘DYi±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘2ÏiterŽ‘E’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘Aji±:ÏendŽ‘ಫ(‘ª¨);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ï l‘‚ØlŽ‘H«(‘ª®)‘@­1385˜·iŽ¡‘gŽ¡‘Ïc‘‰ffŽ‘®iterŽ‘/Ù«=‘DZvŽ‘ûÕ:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘&6¡«(Âv®9ectorŽ‘ªH·hÂRectangleŽ‘5ã·Ž‘:ãi‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W—:«=‘IA±sŽ‘ùAŸ~ŽŽ‘ ùBÏr–ÿ}'e“ctanglesŽ–7™‡±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘NÏiterŽ‘bU·6«=‘IA±sŽ‘ùAŸ~ŽŽ‘ ùBÏr–ÿ}'e“ctanglesŽ“±:ÏendŽ‘ಫ(˜);Ž¡‘2€Ÿÿ®+‘ÿ+ŽŽ‘>G%ÏiterŽ‘O#«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ï l‘‚ØlŽ‘H«(‘ª®)‘@­1385˜·iŽ¡‘gŽ¡‘Ïpictur‘ÿ}'eŽ‘5Ïð«+=ŽŽ‘H%DÂdynamicu½‰™šs4Ž‘ÔwcastŽ’‹–·hÂShapQÇeŽ‘"Ab·Ž‘'Aci«(±sŽ‘°«);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"ExitingÈ ÝSolid::fillŽ‘kÆÜ():"Ž’„P·‘ÇÝ"\n"Ž‘Œ·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ +gŽŽŽŒ‹¤Ú Šn ý‘ì«420–­FILL’JŠy3DLDFPRÃŽG“·x«1388Ž €n ý•@PÂ1388.‘ ü«ProGcess–­õv¸ãectors“for“Ï l‘‚Øldr‘ÿ}'aw‘«().‘{¨[¬LDF‘T2002.10.09.«]Ž‘TÜ‚Added“this“section.‘{¨The“same“things“are“done“toޤ eacš¸ãh–ö‘of“the“ÂShapQÇeŽ‘&Ù/·Ž‘/ÏÁ«v˜ectors“Ïp‘ÿ}'athsŽ‘‡>«,‘ßÏel‘‚ØlipsesŽ‘$¡P«,‘ßÏcir‘ÿ}'clesŽ‘ «C«,‘ßÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘:/«,›ßand“Ïr–ÿ}'e“ctanglesŽ‘/–Ö«,˜so“I'v¸ãe“put“the“coGde“inŽ¡this–UUnamed“section.‘qÇEacš¸ãh“time“it“it's“used,“ÏiterŽ‘u¨«is“an“iterator“for“a“di eren˜t“v˜ector.Ž©›b·h›ª¨«ProGcess–UUv¸ãectors“for“Ï l‘‚Øldr‘ÿ}'awŽ‘$¼À«(‘ª®)‘@­1388˜·i‘ÇŽ¡‘ fŽ¡‘ÂifŽ‘´ú«(Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜iterŽ‘D•û·6«=‘ÇÏdr–ÿ}'aw‘‰ffŽ‘®c“olorsŽ‘5ˆ¥±:ÏendŽ‘ಫ(‘ª¨))‘·fŽ¡‘Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜ptrŽ‘`Ç«=‘Ç·Ž‘ÇÏdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜iterŽ‘JüŸÿ®+‘ÿ+ŽŽ‘UÝ«;Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“iterŽ‘;B·6«=‘ÇÏ l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorsŽ‘,4Á±:ÏendŽ‘ಫ(‘ª¨))‘·fŽ¡‘Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“ptrŽ‘V³ã«=‘Ç·Ž‘ÇÏ l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“iterŽ‘@Ÿÿ®+‘ÿ+ŽŽ‘L‰8«;Ž¡‘·gŽ¡‘«(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ–® l‘‚Øl‘‰ffŽ“dr‘ÿ}'aw‘‰ffŽ“valueŽ‘N\ö«(ÝFILLDRAWŽ‘*†P«);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4€·‘&ÝÝ"draw_color_ptr->getŽ‘l&¡_use_name()È Ý==È Ý"Ž’ÃÓ¶·‘&ÝÏdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜ptrŽ‘@g‰Ÿ±~ŽŽ‘FgŠÏget‘‰ffŽ–®use‘‰ffŽ“nameŽ’«(‘ª¨)–&Ý·“Ïend‘‚ØlŽ‘?|·Ž¡‘2Ï ushŽ‘G¹«;Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜ptrŽ‘=@¬Ÿ±~ŽŽ‘C@­Ïget‘‰ffŽ–®use‘‰ffŽ“nameŽ‘}ö³«(‘ª¨)–Ç·“ÏfalseŽ‘v\«)‘·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"AllocatingÈ ÝmemoryÈ ÝfŽ‘kÆÜorÈ ÝColor.\n"Ž’®8·‘ÇÏ ushŽ‘€«;ަ‘ÂColorŽ‘=¤ö·Ž‘B¤÷±cŽ‘I¿ê«=‘ÇÂColorŽ‘ º«::Ž‘&¤øÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“c‘ÿ}'olorŽ‘nø«(‘ª¨);ަ‘·Ž‘#±cŽ‘*÷«=‘Ç·Ž‘ÇÏdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜ptrŽ‘GÅ«;Ž¡‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ–®dr›ÿ}'aw‘‰ffŽ“c˜olorŽ‘>«(±cŽ‘SÛ«);Ž¡‘·gŽ¡‘ÂelseŽ‘+Øá·fŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)Ž¡‘(Ïc‘ÿ}'outŽ‘> S·‘ÇÝ"draw_color_ptr->getŽ‘kÆÜ_name()È Ý==È Ý"Ž’®8·‘ÇÏdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜ptrŽ‘@ÄŸ±~ŽŽ‘FÅÏget‘‰ffŽ‘®nameŽ‘o…«(‘ª¨)–Ç·“Ïend‘‚ØlŽ‘ò·“Ï ushŽ‘€«;Ž¡‘(·Ž‘Ž‘ @@ -5073,188 +5139,194 @@ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ–® l‘‚Øl‘‰ffŽ“c‘ÿ}'olorŽ‘5I:«(Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“ptrŽ‘5ìÈ«);Ž¡‘·gŽ¡‘«(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ‘®p‘ÿ}'enŽ‘ʘ«(Ïpp‘ÿ}'enŽ‘6#«);Ž¡‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ–®dash‘‰ffŽ“p‘ÿ}'atternŽ‘FÝ–«(Ïddashe‘ÿ}'dŽ‘#G«);Ž¡‘ -·gŽŸ ›b­This–ÕXcoQU·hÂconstŽ‘§ ColorŽ‘>Èk·Ž–CÈli‘ÑÀÏdr–ÿ}'aw‘‰ffŽ‘®c“olorsŽ‘6“M±;‘ª¨ÂconstŽ‘ Qµv®9ectorŽ‘?ûý·hÂconstŽ‘§ ColorŽ‘>Èk·Ž“iŽ¡‘2Ï l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorsŽ‘[m®±;‘ª¨ÂconstŽ‘ÕJstringŽ‘@ú—Ïddashe‘ÿ}'dŽ‘dA¨±;‘ª¨ÂconstŽ‘ÕJstringŽ‘@ú—Ïpp‘ÿ}'enŽ‘V0º±;‘ª¨ÂPictureŽ‘*œ «&Ž‘2c(Ïpictur‘ÿ}'eŽ‘Qkþ«)‘UUÂconstŽŽ¡‘ -·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝSolid::filŽ‘kÆÜldraw():"Ž’žTA·‘ÇÝ"\n"Ž‘Œ·‘ÇÏ ushŽ‘€«;ަ‘ÂSolidŽ‘0Ó.·Ž‘5Ó/±sŽ‘=JG«=‘ÇÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“solidŽ‘IèÓ«(‘ª¨);ަ‘·Ž‘±sŽ‘ w«=‘Ç·Ž‘ÇÏthisŽ‘²Ï«;ަ‘ÂconstŽ‘2*¤ColorŽ‘QÏ—·Ž‘VϘÏdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜ptrŽ’–D«;Ž¡‘ÂconstŽ‘2*¤ColorŽ‘QÏ—·Ž‘VÏ˜Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“ptrŽ’Œ¼`«;ަ‘Âv®9ectorŽ‘3ªJ·hÂconstŽ‘*¢ColorŽ‘=Ï•·Ž‘BÏ–i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜iterŽ’ˆö«=‘ÇÏdr–ÿ}'aw‘‰ffŽ‘®c“olorsŽ‘5ˆ¥±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘Âv®9ectorŽ‘3ªJ·hÂconstŽ‘*¢ColorŽ‘=Ï•·Ž‘BÏ–i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚û l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“iterŽ‘~Å«=‘ÇÏ l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorsŽ‘,4Á±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂP®9athŽ‘æ¹·Ž‘ æºi‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZsŽ‘wŸ~ŽŽ‘ wÏp‘ÿ}'athsŽ–#Ʊ:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏp‘ÿ}'athsŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ï l‘‚Øldr‘ÿ}'awŽ‘$¼À«(‘ª®)‘@­1383˜·iŽ¡‘gŽ¡‘Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜iterŽ‘X•ý«=‘ÇÏdr–ÿ}'aw‘‰ffŽ‘®c“olorsŽ‘5ˆ¥±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“iterŽ‘OB«=‘ÇÏ l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorsŽ‘,4Á±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂCircleŽ‘!¸·Ž‘&¸‚i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZsŽ‘wŸ~ŽŽ‘ wÏcir‘ÿ}'clesŽ–(}±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏcir‘ÿ}'clesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ï l‘‚Øldr‘ÿ}'awŽ‘$¼À«(‘ª®)‘@­1383˜·iŽ¡‘gŽ¡‘Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜iterŽ‘X•ý«=‘ÇÏdr–ÿ}'aw‘‰ffŽ‘®c“olorsŽ‘5ˆ¥±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“iterŽ‘OB«=‘ÇÏ l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorsŽ‘,4Á±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂEllipseŽ‘%>.·Ž‘*>/i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZsŽ‘wŸ~ŽŽ‘ wÏel‘‚ØlipsesŽ–+ùб:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏel‘‚ØlipsesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ï l‘‚Øldr‘ÿ}'awŽ‘$¼À«(‘ª®)‘@­1383˜·iŽ¡‘gŽ¡‘Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜iterŽ‘X•ý«=‘ÇÏdr–ÿ}'aw‘‰ffŽ‘®c“olorsŽ‘5ˆ¥±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“iterŽ‘OB«=‘ÇÏ l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorsŽ‘,4Á±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘'«$«(Âv®9ectorŽ‘ªH·hÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘F–¥·Ž‘K–¦i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘Z«=‘¶±sŽ‘fŸ~ŽŽ‘fÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘DYi±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘2ÏiterŽ‘E’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘Aji±:ÏendŽ‘ಫ(‘ª¨);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ï l‘‚Øldr‘ÿ}'awŽ‘$¼À«(‘ª®)‘@­1383˜·iŽ¡‘gŽ¡‘ÂforŽ‘&6¡«(Âv®9ectorŽ‘ªH·hÂRectangleŽ‘5ã·Ž‘:ãi‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W—:«=‘IA±sŽ‘ùAŸ~ŽŽ‘ ùBÏr–ÿ}'e“ctanglesŽ–7™‡±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘NÏiterŽ‘bU·6«=‘IA±sŽ‘ùAŸ~ŽŽ‘ ùBÏr–ÿ}'e“ctanglesŽ“±:ÏendŽ‘ಫ(˜);Ž¡‘2€Ÿÿ®+‘ÿ+ŽŽ‘>G%ÏiterŽ‘O#«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ï l‘‚Øldr‘ÿ}'awŽ‘$¼À«(‘ª®)‘@­1383˜·iŽ¡‘gŽ¡‘Ïpictur‘ÿ}'eŽ‘5Ïð«+=ŽŽ‘H%DÂdynamicu½‰™šs4Ž‘ÔwcastŽ’‹–·hÂShapQÇeŽ‘"Ab·Ž‘'Aci«(±sŽ‘°«);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"ExitingÈ ÝSolid::fillŽ‘kÆÜdraw():"Ž’™D·‘ÇÝ"\n"Ž‘Œ·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ -gŽŽŽŒ‹¢~ Šn ý‘ì«418–­FILLDRA‘ÿ8W’/¦3DLDFPRÃŽG“·x«1386Ž €n ý•@PÂ1386.‘ ü«ProGcess–±Îv¸ãectors“for“Ïundr‘ÿ}'aw‘«().‘‡3[¬LDF‘T2002.10.09.«]Ž‘TëæAdded“this“section.‘‡3The“same“things“are“done“toޤ eacš¸ãh–ö‘of“the“ÂShapQÇeŽ‘&Ù/·Ž‘/ÏÁ«v˜ectors“Ïp‘ÿ}'athsŽ‘‡>«,‘ßÏel‘‚ØlipsesŽ‘$¡P«,‘ßÏcir‘ÿ}'clesŽ‘ «C«,‘ßÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘:/«,›ßand“Ïr–ÿ}'e“ctanglesŽ‘/–Ö«,˜so“I'v¸ãe“put“the“coGde“inŽ¡this–UUnamed“section.‘qÇEacš¸ãh“time“it“it's“used,“ÏiterŽ‘u¨«is“an“iterator“for“a“di eren˜t“v˜ector.Ž©·h›ª¨«ProGcess–UUv¸ãectors“for“Ïundr‘ÿ}'awŽ‘${T«(‘ª®)‘@­1386˜·i‘ÇŽ¡‘ +·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝSolid::filŽ‘kÆÜldraw():"Ž’žTA·‘ÇÝ"\n"Ž‘Œ·‘ÇÏ ushŽ‘€«;ަ‘ÂSolidŽ‘0Ó.·Ž‘5Ó/±sŽ‘=JG«=‘ÇÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“solidŽ‘IèÓ«(‘ª¨);ަ‘·Ž‘±sŽ‘ w«=‘Ç·Ž‘ÇÏthisŽ‘²Ï«;ަ‘ÂconstŽ‘2*¤ColorŽ‘QÏ—·Ž‘VϘÏdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜ptrŽ’–D«;Ž¡‘ÂconstŽ‘2*¤ColorŽ‘QÏ—·Ž‘VÏ˜Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“ptrŽ’Œ¼`«;ަ‘Âv®9ectorŽ‘3ªJ·hÂconstŽ‘*¢ColorŽ‘=Ï•·Ž‘BÏ–i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜iterŽ’ˆö«=‘ÇÏdr–ÿ}'aw‘‰ffŽ‘®c“olorsŽ‘5ˆ¥±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘Âv®9ectorŽ‘3ªJ·hÂconstŽ‘*¢ColorŽ‘=Ï•·Ž‘BÏ–i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚û l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“iterŽ‘~Å«=‘ÇÏ l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorsŽ‘,4Á±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂP®9athŽ‘æ¹·Ž‘ æºi‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZsŽ‘wŸ~ŽŽ‘ wÏp‘ÿ}'athsŽ–#Ʊ:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏp‘ÿ}'athsŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ï l‘‚Øldr‘ÿ}'awŽ‘$¼À«(‘ª®)‘@­1388˜·iŽ¡‘gŽ¡‘Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜iterŽ‘X•ý«=‘ÇÏdr–ÿ}'aw‘‰ffŽ‘®c“olorsŽ‘5ˆ¥±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“iterŽ‘OB«=‘ÇÏ l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorsŽ‘,4Á±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂCircleŽ‘!¸·Ž‘&¸‚i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZsŽ‘wŸ~ŽŽ‘ wÏcir‘ÿ}'clesŽ–(}±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏcir‘ÿ}'clesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ï l‘‚Øldr‘ÿ}'awŽ‘$¼À«(‘ª®)‘@­1388˜·iŽ¡‘gŽ¡‘Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜iterŽ‘X•ý«=‘ÇÏdr–ÿ}'aw‘‰ffŽ‘®c“olorsŽ‘5ˆ¥±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“iterŽ‘OB«=‘ÇÏ l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorsŽ‘,4Á±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂEllipseŽ‘%>.·Ž‘*>/i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZsŽ‘wŸ~ŽŽ‘ wÏel‘‚ØlipsesŽ–+ùб:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏel‘‚ØlipsesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ï l‘‚Øldr‘ÿ}'awŽ‘$¼À«(‘ª®)‘@­1388˜·iŽ¡‘gŽ¡‘Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜iterŽ‘X•ý«=‘ÇÏdr–ÿ}'aw‘‰ffŽ‘®c“olorsŽ‘5ˆ¥±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“iterŽ‘OB«=‘ÇÏ l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorsŽ‘,4Á±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘ÂforŽ‘'«$«(Âv®9ectorŽ‘ªH·hÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘F–¥·Ž‘K–¦i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘Z«=‘¶±sŽ‘fŸ~ŽŽ‘fÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘DYi±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘2ÏiterŽ‘E’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘Aji±:ÏendŽ‘ಫ(‘ª¨);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ï l‘‚Øldr‘ÿ}'awŽ‘$¼À«(‘ª®)‘@­1388˜·iŽ¡‘gŽ¡‘ÂforŽ‘&6¡«(Âv®9ectorŽ‘ªH·hÂRectangleŽ‘5ã·Ž‘:ãi‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W—:«=‘IA±sŽ‘ùAŸ~ŽŽ‘ ùBÏr–ÿ}'e“ctanglesŽ–7™‡±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘NÏiterŽ‘bU·6«=‘IA±sŽ‘ùAŸ~ŽŽ‘ ùBÏr–ÿ}'e“ctanglesŽ“±:ÏendŽ‘ಫ(˜);Ž¡‘2€Ÿÿ®+‘ÿ+ŽŽ‘>G%ÏiterŽ‘O#«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ï l‘‚Øldr‘ÿ}'awŽ‘$¼À«(‘ª®)‘@­1388˜·iŽ¡‘gŽ¡‘Ïpictur‘ÿ}'eŽ‘5Ïð«+=ŽŽ‘H%DÂdynamicu½‰™šs4Ž‘ÔwcastŽ’‹–·hÂShapQÇeŽ‘"Ab·Ž‘'Aci«(±sŽ‘°«);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"ExitingÈ ÝSolid::fillŽ‘kÆÜdraw():"Ž’™D·‘ÇÝ"\n"Ž‘Œ·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ +gŽŽŽŒ‹¦ýû Šn ý‘ì«422–­FILLDRA‘ÿ8W’/¦3DLDFPRÃŽG“·x«1391Ž €n ý•@PÂ1391.‘ ü«ProGcess–±Îv¸ãectors“for“Ïundr‘ÿ}'aw‘«().‘‡3[¬LDF‘T2002.10.09.«]Ž‘TëæAdded“this“section.‘‡3The“same“things“are“done“toޤ eacš¸ãh–ö‘of“the“ÂShapQÇeŽ‘&Ù/·Ž‘/ÏÁ«v˜ectors“Ïp‘ÿ}'athsŽ‘‡>«,‘ßÏel‘‚ØlipsesŽ‘$¡P«,‘ßÏcir‘ÿ}'clesŽ‘ «C«,‘ßÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘:/«,›ßand“Ïr–ÿ}'e“ctanglesŽ‘/–Ö«,˜so“I'v¸ãe“put“the“coGde“inŽ¡this–UUnamed“section.‘qÇEacš¸ãh“time“it“it's“used,“ÏiterŽ‘u¨«is“an“iterator“for“a“di eren˜t“v˜ector.Ž©·h›ª¨«ProGcess–UUv¸ãectors“for“Ïundr‘ÿ}'awŽ‘${T«(‘ª®)‘@­1391˜·i‘ÇŽ¡‘ fŽ¡‘«(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ–® l‘‚Øl‘‰ffŽ“dr‘ÿ}'aw‘‰ffŽ“valueŽ‘N\ö«(ÝUNDRAWŽ‘ V«);Ž¡‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ–®dr›ÿ}'aw‘‰ffŽ“c˜olorŽ‘>«(Âstaticu½‰™šs4Ž‘ÔwcastŽ‘4}¢·hÂColorŽ‘¤ó·Ž‘$¤ôi«(0Ž‘));Ž¡‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ–® l‘‚Øl‘‰ffŽ“c‘ÿ}'olorŽ‘5I:«(Âstaticu½‰™šs4Ž‘ÔwcastŽ‘4}¢·hÂColorŽ‘¤ó·Ž‘$¤ôi«(0Ž‘));Ž¡‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ–®dash‘‰ffŽ“p‘ÿ}'atternŽ‘FÝ–«(Ïddashe‘ÿ}'dŽ‘#G«);Ž¡‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ‘®p‘ÿ}'enŽ‘ʘ«(Ïpp‘ÿ}'enŽ‘6#«);Ž¡‘ -·gŽŸ ­This–ÕXco.·Ž‘*>/i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZsŽ‘wŸ~ŽŽ‘ wÏel‘‚ØlipsesŽ–+ùб:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏel‘‚ØlipsesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ïundr‘ÿ}'awŽ‘${T«(‘ª®)‘@­1386˜·iŽ¡‘gŽ¡‘ÂforŽ‘'«$«(Âv®9ectorŽ‘ªH·hÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘F–¥·Ž‘K–¦i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘Z«=‘¶±sŽ‘fŸ~ŽŽ‘fÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘DYi±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘2ÏiterŽ‘E’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘Aji±:ÏendŽ‘ಫ(‘ª¨);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ïundr‘ÿ}'awŽ‘${T«(‘ª®)‘@­1386˜·iŽ¡‘gŽ¡‘ÂforŽ‘&6¡«(Âv®9ectorŽ‘ªH·hÂRectangleŽ‘5ã·Ž‘:ãi‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W—:«=‘IA±sŽ‘ùAŸ~ŽŽ‘ ùBÏr–ÿ}'e“ctanglesŽ–7™‡±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘NÏiterŽ‘bU·6«=‘IA±sŽ‘ùAŸ~ŽŽ‘ ùBÏr–ÿ}'e“ctanglesŽ“±:ÏendŽ‘ಫ(˜);Ž¡‘2€Ÿÿ®+‘ÿ+ŽŽ‘>G%ÏiterŽ‘O#«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ïundr‘ÿ}'awŽ‘${T«(‘ª®)‘@­1386˜·iŽ¡‘gŽ¡‘Ïpictur‘ÿ}'eŽ‘5Ïð«+=ŽŽ‘H%DÂdynamicu½‰™šs4Ž‘ÔwcastŽ’‹–·hÂShapQÇeŽ‘"Ab·Ž‘'Aci«(±sŽ‘°«);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"ExitingÈ ÝSolid::undrŽ‘kÆÜaw():"Ž’Ž”J·‘ÇÝ"\n"Ž‘Œ·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ -gŽŽŽŒ‹£õ Šn ý‘ì·x«1389–­3DLDFPRÃŽG’6#IUNDRA‘ÿ8W“«419Ž €n ý•@PÂ1389.‘ ü«ProGcess–UUv¸ãectors“for“Ïun l‘‚Øl‘‰«().ŽŸcŽŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ +·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝSolid::undŽ‘kÆÜraw():"Ž’“ÔG·‘ÇÝ"\n"Ž‘Œ·‘ÇÏ ushŽ‘€«;ަ‘ÂSolidŽ‘0Ó.·Ž‘5Ó/±sŽ‘=JG«=‘ÇÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“solidŽ‘IèÓ«(‘ª¨);ަ‘·Ž‘±sŽ‘ w«=‘Ç·Ž‘ÇÏthisŽ‘²Ï«;Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂP®9athŽ‘æ¹·Ž‘ æºi‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZsŽ‘wŸ~ŽŽ‘ wÏp‘ÿ}'athsŽ–#Ʊ:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏp‘ÿ}'athsŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ïundr‘ÿ}'awŽ‘${T«(‘ª®)‘@­1391˜·iŽ¡‘gŽ¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂCircleŽ‘!¸·Ž‘&¸‚i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZsŽ‘wŸ~ŽŽ‘ wÏcir‘ÿ}'clesŽ–(}±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏcir‘ÿ}'clesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ïundr‘ÿ}'awŽ‘${T«(‘ª®)‘@­1391˜·iŽ¡‘gŽ¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂEllipseŽ‘%>.·Ž‘*>/i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZsŽ‘wŸ~ŽŽ‘ wÏel‘‚ØlipsesŽ–+ùб:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏel‘‚ØlipsesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ïundr‘ÿ}'awŽ‘${T«(‘ª®)‘@­1391˜·iŽ¡‘gŽ¡‘ÂforŽ‘'«$«(Âv®9ectorŽ‘ªH·hÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘F–¥·Ž‘K–¦i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘Z«=‘¶±sŽ‘fŸ~ŽŽ‘fÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘DYi±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘2ÏiterŽ‘E’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘Aji±:ÏendŽ‘ಫ(‘ª¨);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ïundr‘ÿ}'awŽ‘${T«(‘ª®)‘@­1391˜·iŽ¡‘gŽ¡‘ÂforŽ‘&6¡«(Âv®9ectorŽ‘ªH·hÂRectangleŽ‘5ã·Ž‘:ãi‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W—:«=‘IA±sŽ‘ùAŸ~ŽŽ‘ ùBÏr–ÿ}'e“ctanglesŽ–7™‡±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘NÏiterŽ‘bU·6«=‘IA±sŽ‘ùAŸ~ŽŽ‘ ùBÏr–ÿ}'e“ctanglesŽ“±:ÏendŽ‘ಫ(˜);Ž¡‘2€Ÿÿ®+‘ÿ+ŽŽ‘>G%ÏiterŽ‘O#«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ïundr‘ÿ}'awŽ‘${T«(‘ª®)‘@­1391˜·iŽ¡‘gŽ¡‘Ïpictur‘ÿ}'eŽ‘5Ïð«+=ŽŽ‘H%DÂdynamicu½‰™šs4Ž‘ÔwcastŽ’‹–·hÂShapQÇeŽ‘"Ab·Ž‘'Aci«(±sŽ‘°«);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"ExitingÈ ÝSolid::undrŽ‘kÆÜaw():"Ž’Ž”J·‘ÇÝ"\n"Ž‘Œ·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ +gŽŽŽŒ‹§r Šn ý‘ì·x«1394–­3DLDFPRÃŽG’6#IUNDRA‘ÿ8W“«423Ž €n ý•@PÂ1394.‘ ü«ProGcess–UUv¸ãectors“for“Ïun l‘‚Øl‘‰«().ŽŸN9Ÿû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¤ ‘ «[¬LDF‘T2002.10.09.«]Ž‘Y‡Added–Ü¡this“section.‘ªThe“same“things“are“done“to“eacš¸ãh“of“the“ÂShapQÇeŽ‘&¥O·Ž‘/ñ«v˜ectors“Ïp‘ÿ}'athsŽ‘mN«,Ž¡Ïel‘‚ØlipsesŽ‘ ‚q«,‘­Ïcir‘ÿ}'clesŽ‘ 9l«,‘­Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘9 X«,–­and‘›~Ïr–ÿ}'e“ctanglesŽ‘/;ë,“so–›~I'vš¸ãe“put“the“coGde“in“this“named“section.‘DAEac˜h“time“it“it'sŽ¡used,‘UUÏiterŽ‘u¨«is–UUan“iterator“for“a“di erenš¸ãt“v˜ector.Ž¡‘ -[¬LDF‘T2003.08.10.«]Ž‘Y;Noš¸ãw–UUsetting“pGen“to“Ý""Ž‘[·«,“since“I'v˜e“remo˜v˜ed“the“pGen“argumen˜t“to“Ïun l‘‚ØlŽ‘l«(‘ª®).ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h›ª¨«ProGcess–UUv¸ãectors“for“Ïun l‘‚ØlŽ‘l«(‘ª®)‘@­1389˜·i‘Çޤ ‘ +[¬LDF‘T2003.08.10.«]Ž‘Y;Noš¸ãw–UUsetting“pGen“to“Ý""Ž‘[·«,“since“I'v˜e“remo˜v˜ed“the“pGen“argumen˜t“to“Ïun l‘‚ØlŽ‘l«(‘ª®).ޤŸüÈ„`ÕÁGŽŽ¡·h›ª¨«ProGcess–UUv¸ãectors“for“Ïun l‘‚ØlŽ‘l«(‘ª®)‘@­1394˜·i‘Çޤ ‘ fŽ¡‘«(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ–® l‘‚Øl‘‰ffŽ“dr‘ÿ}'aw‘‰ffŽ“valueŽ‘N\ö«(ÝUNFILLŽ‘ V«);Ž¡‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ–®dr›ÿ}'aw‘‰ffŽ“c˜olorŽ‘>«(Âstaticu½‰™šs4Ž‘ÔwcastŽ‘4}¢·hÂColorŽ‘¤ó·Ž‘$¤ôi«(0Ž‘));Ž¡‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ–® l‘‚Øl‘‰ffŽ“c‘ÿ}'olorŽ‘5I:«(Âstaticu½‰™šs4Ž‘ÔwcastŽ‘4}¢·hÂColorŽ‘¤ó·Ž‘$¤ôi«(0Ž‘));Ž¡‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ–®dash‘‰ffŽ“p‘ÿ}'atternŽ‘FÝ–«(Ý""Ž‘ b«);Ž¡‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ‘®p‘ÿ}'enŽ‘ʘ«(Ý""Ž‘ b«);Ž¡‘ -·gŽŸ ­This–ÕXco‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.08.10.«]Ž‘Y;Remo•¸ãv“ed–UUthe“pšGen“argumen¸ãt,“since“un lling“do˜esn't“use“a“p˜en.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1294“·i‘Ç«+·ŽŸ ‘ -ÂvirtualŽ‘/Ôv®9oidŽ‘H‹¬Ïun l‘‚ØlŽ‘`Rë(ÂPictureŽ‘(ñb«&Ž‘0¸€Ïpictur‘ÿ}'eŽ‘Rˆn«=‘ÇÏcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘Dìß«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹¤)ô Šn ý‘ì«420–­UNFILL’=α3DLDFPRÃŽG“·x«1391Ž €n ý•@PÂ1391.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·ޤ ‘ +·gŽŸ ­This–ÕXco.·Ž‘*>/i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZsŽ‘wŸ~ŽŽ‘ wÏel‘‚ØlipsesŽ–+ùб:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏel‘‚ØlipsesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ïun l‘‚ØlŽ‘l«(‘ª®)‘@­1389˜·iŽ¡‘gŽ¡‘ÂforŽ‘'«$«(Âv®9ectorŽ‘ªH·hÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘F–¥·Ž‘K–¦i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘Z«=‘¶±sŽ‘fŸ~ŽŽ‘fÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘DYi±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘2ÏiterŽ‘E’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘Aji±:ÏendŽ‘ಫ(‘ª¨);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ïun l‘‚ØlŽ‘l«(‘ª®)‘@­1389˜·iŽ¡‘gŽ¡‘ÂforŽ‘&6¡«(Âv®9ectorŽ‘ªH·hÂRectangleŽ‘5ã·Ž‘:ãi‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W—:«=‘IA±sŽ‘ùAŸ~ŽŽ‘ ùBÏr–ÿ}'e“ctanglesŽ–7™‡±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘NÏiterŽ‘bU·6«=‘IA±sŽ‘ùAŸ~ŽŽ‘ ùBÏr–ÿ}'e“ctanglesŽ“±:ÏendŽ‘ಫ(˜);Ž¡‘2€Ÿÿ®+‘ÿ+ŽŽ‘>G%ÏiterŽ‘O#«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ïun l‘‚ØlŽ‘l«(‘ª®)‘@­1389˜·iŽ¡‘gŽ¡‘Ïpictur‘ÿ}'eŽ‘5Ïð«+=ŽŽ‘H%DÂdynamicu½‰™šs4Ž‘ÔwcastŽ’‹–·hÂShapQÇeŽ‘"Ab·Ž‘'Aci«(±sŽ‘°«);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"ExitingÈ ÝSolid::unfiŽ‘kÆÜll():"Ž’Ž”J·‘ÇÝ"\n"Ž‘Œ·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ -gŽŽŽŒ‹¥2r Šn ý‘ì·x«1392–­3DLDFPRÃŽG’=αUNFILL“«421Ž €n ý•@PÂ1392.‘ ü«ProGcess–Ç;v¸ãectors“for“Ïun l‘‚Øldr‘ÿ}'aw‘«().‘Çz[¬LDF‘T2002.10.09.«]Ž‘UAšAdded“this“section.‘ÇzThe“same“things“are“doneޤ to–J^eacš¸ãh“of“the“ÂShapQÇeŽ‘%€É·Ž‘-Ë(«v˜ectors“Ïp‘ÿ}'athsŽ‘Û «,‘LÏel‘‚ØlipsesŽ‘#Ï«,‘LÏcir‘ÿ}'clesŽ‘Øô«,‘LÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘9?à«,›Land“Ïr–ÿ}'e“ctanglesŽ‘.꣫,˜so“I'v¸ãe“put“the“coGde“inŽ¡this–UUnamed“section.‘qÇEacš¸ãh“time“it“it's“used,“ÏiterŽ‘u¨«is“an“iterator“for“a“di eren˜t“v˜ector.Ž©·h›ª¨«ProGcess–UUv¸ãectors“for“Ïun l‘‚Øldr‘ÿ}'awŽ‘/¹ä«(‘ª®)‘@­1392˜·i‘ÇŽ¡‘ +·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝSolid::unfŽ‘kÆÜill():"Ž’“ÔG·‘ÇÝ"\n"Ž‘Œ·‘ÇÏ ushŽ‘€«;ަ‘ÂSolidŽ‘0Ó.·Ž‘5Ó/±sŽ‘=JG«=‘ÇÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“solidŽ‘IèÓ«(‘ª¨);ަ‘·Ž‘±sŽ‘ w«=‘Ç·Ž‘ÇÏthisŽ‘²Ï«;Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂP®9athŽ‘æ¹·Ž‘ æºi‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZsŽ‘wŸ~ŽŽ‘ wÏp‘ÿ}'athsŽ–#Ʊ:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏp‘ÿ}'athsŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ïun l‘‚ØlŽ‘l«(‘ª®)‘@­1394˜·iŽ¡‘gŽ¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂCircleŽ‘!¸·Ž‘&¸‚i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZsŽ‘wŸ~ŽŽ‘ wÏcir‘ÿ}'clesŽ–(}±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏcir‘ÿ}'clesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ïun l‘‚ØlŽ‘l«(‘ª®)‘@­1394˜·iŽ¡‘gŽ¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂEllipseŽ‘%>.·Ž‘*>/i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W«=‘DZsŽ‘wŸ~ŽŽ‘ wÏel‘‚ØlipsesŽ–+ùб:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘ÿýÏiterŽ‘’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏel‘‚ØlipsesŽ“±:ÏendŽ‘ಫ(˜);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ïun l‘‚ØlŽ‘l«(‘ª®)‘@­1394˜·iŽ¡‘gŽ¡‘ÂforŽ‘'«$«(Âv®9ectorŽ‘ªH·hÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘F–¥·Ž‘K–¦i‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘Z«=‘¶±sŽ‘fŸ~ŽŽ‘fÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘DYi±:Ïb–ÿ}'e“ginŽ‘¾¨«(‘ª¨);Ž¡‘2ÏiterŽ‘E’·6«=‘DZsŽ‘wŸ~ŽŽ‘ wÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘Aji±:ÏendŽ‘ಫ(‘ª¨);‘ýŸÿ®+‘ÿ+ŽŽ‘GÏiterŽ‘"«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ïun l‘‚ØlŽ‘l«(‘ª®)‘@­1394˜·iŽ¡‘gŽ¡‘ÂforŽ‘&6¡«(Âv®9ectorŽ‘ªH·hÂRectangleŽ‘5ã·Ž‘:ãi‘«::Ž‘ŽBÏc–ÿ}'onst‘‰ffŽ‘®iter“atorŽ‘C‚ûiterŽ‘W—:«=‘IA±sŽ‘ùAŸ~ŽŽ‘ ùBÏr–ÿ}'e“ctanglesŽ–7™‡±:Ïb–ÿ}'e“ginŽ‘¾¨«(›ª¨);‘NÏiterŽ‘bU·6«=‘IA±sŽ‘ùAŸ~ŽŽ‘ ùBÏr–ÿ}'e“ctanglesŽ“±:ÏendŽ‘ಫ(˜);Ž¡‘2€Ÿÿ®+‘ÿ+ŽŽ‘>G%ÏiterŽ‘O#«)‘·fŽ¡‘h›ª¨«ProGcess–UUv¸ãectors“for“Ïun l‘‚ØlŽ‘l«(‘ª®)‘@­1394˜·iŽ¡‘gŽ¡‘Ïpictur‘ÿ}'eŽ‘5Ïð«+=ŽŽ‘H%DÂdynamicu½‰™šs4Ž‘ÔwcastŽ’‹–·hÂShapQÇeŽ‘"Ab·Ž‘'Aci«(±sŽ‘°«);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"ExitingÈ ÝSolid::unfiŽ‘kÆÜll():"Ž’Ž”J·‘ÇÝ"\n"Ž‘Œ·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ +gŽŽŽŒ‹©,™ Šn ý‘ì·x«1397–­3DLDFPRÃŽG’=αUNFILL“«425Ž €n ý•@PÂ1397.‘ ü«ProGcess–Ç;v¸ãectors“for“Ïun l‘‚Øldr‘ÿ}'aw‘«().‘Çz[¬LDF‘T2002.10.09.«]Ž‘UAšAdded“this“section.‘ÇzThe“same“things“are“doneޤ to–J^eacš¸ãh“of“the“ÂShapQÇeŽ‘%€É·Ž‘-Ë(«v˜ectors“Ïp‘ÿ}'athsŽ‘Û «,‘LÏel‘‚ØlipsesŽ‘#Ï«,‘LÏcir‘ÿ}'clesŽ‘Øô«,‘LÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘9?à«,›Land“Ïr–ÿ}'e“ctanglesŽ‘.꣫,˜so“I'v¸ãe“put“the“coGde“inŽ¡this–UUnamed“section.‘qÇEacš¸ãh“time“it“it's“used,“ÏiterŽ‘u¨«is“an“iterator“for“a“di eren˜t“v˜ector.Ž©·h›ª¨«ProGcess–UUv¸ãectors“for“Ïun l‘‚Øldr‘ÿ}'awŽ‘/¹ä«(‘ª®)‘@­1397˜·i‘ÇŽ¡‘ fŽ¡‘«(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ–® l‘‚Øl‘‰ffŽ“dr‘ÿ}'aw‘‰ffŽ“valueŽ‘N\ö«(ÝUNFILLDRAWŽ‘5J«);Ž¡‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ–®dr›ÿ}'aw‘‰ffŽ“c˜olorŽ‘>«(Âstaticu½‰™šs4Ž‘ÔwcastŽ‘4}¢·hÂColorŽ‘¤ó·Ž‘$¤ôi«(0Ž‘));Ž¡‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ–® l‘‚Øl‘‰ffŽ“c‘ÿ}'olorŽ‘5I:«(Âstaticu½‰™šs4Ž‘ÔwcastŽ‘4}¢·hÂColorŽ‘¤ó·Ž‘$¤ôi«(0Ž‘));Ž¡‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ–®dash‘‰ffŽ“p‘ÿ}'atternŽ‘FÝ–«(Ïddashe‘ÿ}'dŽ‘#G«);Ž¡‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïset‘‰ffŽ‘®p‘ÿ}'enŽ‘ʘ«(Ïpp‘ÿ}'enŽ‘6#«);Ž¡‘ -·gŽŸ ­This–ÕXcoe Šn ý‘ì«422–­UNFILLDRA‘ÿ8W’"êS3DLDFPRÃŽG“·x«1394Ž €n ý•@PÂ1394.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1295“·i‘Ç«+·ޤ ‘ +bTO‘‡äDO:“Chec¸ãk“what“ lldra®9w“«andŽ¡Âun lldra®9w–UU«mean“in“MET›ÿ*ªAPOST“and“MET˜AF¸ãONT.ަ·h–ª¨«Declare‘UUÂSolidŽ‘ («functions‘@­1299“·i‘Ç«+·Ž¡‘ +ÂvirtualŽ‘0†‹v®9oidŽ‘J}Ïun l‘‚Øldr‘ÿ}'awŽ‘vá©«(ÂconstŽ‘#YstringŽ‘AA]Ïddashe‘ÿ}'dŽ‘hî «=‘eÝ""Ž–kÿ±;‘ª¨ÂconstŽ‘ ÎstringŽ‘BìÏpp‘ÿ}'enŽ‘\‡Å«=‘eÝ""Ž“±;‘ª¨ÂPictureŽŽ¡‘«&Ž‘%Ç!Ïpictur‘ÿ}'eŽ‘G—«=‘ÇÏcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘Dìß«)‘UUÂconstŽ‘*¢«;ŽŽŽŒ‹ª8Œ Šn ý‘ì«426–­UNFILLDRA‘ÿ8W’"êS3DLDFPRÃŽG“·x«1399Ž €n ý•@PÂ1399.Ž©·h–ª¨«De ne‘UUÂSolidŽ‘ («functions‘@­1300“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙSolidŽ‘={´«::‘Ïun l‘‚Øldr‘ÿ}'awŽ‘-d“«(ÂconstŽ‘*¢stringŽ‘?OïÏddashe‘ÿ}'dŽ‘b—±;‘ª¨ÂconstŽ‘ÕJstringŽ‘@ú—Ïpp‘ÿ}'enŽ‘V0º±;‘ª¨ÂPictureŽ‘*œ «&Ž‘2c(Ïpictur‘ÿ}'eŽ‘Qkþ«)‘UUÂconstŽŽ¡‘ -·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝSolid::unfŽ‘kÆÜilldraw():"Ž’¨Ô;·‘ÇÝ"\n"Ž‘Œ·‘ÇÏ ushŽ‘€«;ަ‘ÂSolidŽ‘0Ó.·Ž‘5Ó/±sŽ‘=JG«=‘ÇÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“solidŽ‘IèÓ«(‘ª¨);ަ‘·Ž‘±sŽ‘ w«=‘Ç·Ž‘ÇÏthisŽ‘²Ï«;Ž¡‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂP®9athŽ‘æ¹·Ž‘ 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les“for“the“distribution“ofŽ¡3DLDF–UU1.1.‘qÇThey're“still“used“in“mš¸ãy“dev˜elopmen˜t“v˜ersions.Ž¡‘ +[¬LDF‘T2003.12.10.«]Ž‘YQ‘Put–ž«the“vš¸ãersion“con˜trol“iden˜ti ers“bac˜k“in˜to“m˜y“release“v˜ersions“for“3DLDF‘ž™1.1.4.‘MÊI'v˜eŽ¡already–"¯put“some“of“them“bacš¸ãk“in,‘,Ñno˜w“I'm“doing“the“rest“of“them.‘`åHo˜w˜ev˜er,‘,Ñthe“release“v˜ersions“are“no˜w“inŽ¡their–UUoš¸ãwn“R˜CS“repGository‘ÿ*ª.ަŸüÈ„`ÕÁGŽŽ¦·h‘ª¨«V‘ÿ*ªersion–UUconš¸ãtrol“iden˜ti er‘@­10‘ª¨·i‘Ç«+·Ž¡‘ +ÂstaticŽ‘)HÚstringŽ‘Jn'Ïr‘ÿ}'cs‘‰ffŽ‘®idŽ‘g(«=‘ÇÝ"$Id:È Ýpolyhed.web,vÈ Ž‘kÆÜÝ1.3È Ý2003/12/10È Ý16:27Ž’ÔÆ :16È Ýlfinsto1È ÝExpÈ Ý$"Ž’9 Ï«;ŽŸÂ1430.‘ üInclude‘ÕT les.ަ·h–ª¨«Include‘UU les‘@­11“·i‘Ç«+·Ž¡«#ÂincludeŽ‘'Ø~Ý"loader.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"pspglb.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"io.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"colors.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"transfor.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"shapes.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"pictures.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"points.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"lines.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"planes.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"paths.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"curves.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"polygons.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"rectangs.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"ellipses.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"circles.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"solids.h"ŽŽ¡«#ÂincludeŽ‘'Ø~Ý"solfaced.h"ŽŽŸÂ1431.› üP®9olyhedron–ûnclass“de nition.˜«[¬LDF‘T2002.10.06.«]Ž‘YÊ»ÂP®9olyhedronŽ’–pb«is–—Úmean¸ãt“to“bGe“used“only“as“a“baseŽ¡class,–UUso“there's“no“need“for“constructors“or“setting“functions.Ž¡‘ +TO–2=DO:‘2v[¬LDF‘T2003.08.15.«]Ž‘TÑIf›2vI“add˜an¸ãy˜functions,‘i¾I“should˜add˜an˜explanation˜to˜\È@node‘?ýPolyhedronŽ¡Getstart«"–UUin“ÈDOCUMENTATION/gssolfig.texi“«abGout“abstract“or“non-abstract“base“classes.ŽŸŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ 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«);Ž¡#ÂendifŽŽ¡‘·gŽ¡‘ÏptsŽ‘+Ú©«[7Ž›]–Ç=“Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘8ºh«[3Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(0Ž˜);Ž¡#ÂifŽ‘ ´ø«0ŽŽ¡‘ÏptsŽ‘+Ú©«[7Ž–]±:Ïlab‘ÿ}'elŽ‘t˜«(7Ž“±;‘ª¨Ý""Ž‘ ± -«);Ž¡#ÂendifŽŽ¡‘ÏptsŽ‘+Ú©«[8Ž›]–Ç=“Ïme‘ÿ}'diateŽ‘%„«(ÏptsŽ‘ Ú¦«[0Ž˜]±;‘ª¨ÏptsŽ‘…N«[1Ž˜]);Ž¡‘ÏptsŽ‘+Ú©«[9Ž›]–Ç=“Ïme‘ÿ}'diateŽ‘%„«(ÏptsŽ‘ Ú¦«[1Ž˜]±;‘ª¨ÏptsŽ‘…N«[2Ž˜]);Ž¡‘ÏptsŽ‘+Ú©«[10ŽŽ‘ -]–Ç=“Ïme‘ÿ}'diateŽ‘%„«(ÏptsŽ‘ Ú¦«[2Ž–]±;‘ª¨ÏptsŽ‘…N«[0Ž“]);Ž¡#ÂifŽ‘ ´ø«0ŽŽ¡‘ÂforŽ‘/艫(±iŽ‘9 «=‘Ç8Ž‘Ç;‘ÿý±iŽ‘ 9 <‘Ç«11ŽŽ‘ Ç;‘ÿý±iŽ‘ññŸÿ®+‘ÿ+ŽŽ‘¹«)‘ÏptsŽ‘Ú¦«[±iŽ–qô«]±:Ïlab‘ÿ}'elŽ‘t˜«(±iŽ“«);Ž¡#ÂendifŽŽ¦‘usingŽ‘ù«is“the“distance“along“one“of“these“line“segmen˜ts“to“the“in˜tersectionŽ¡pGoinš¸ãt–UUdivided“b˜y“the“length“of“the“en˜tire“line“segmen˜t.‘qÇ[¬LDF‘T2002.08.12.«]ŽŽ¡‘ +«);Ž¡#ÂendifŽŽ¡‘ÏptsŽ‘+Ú©«[8Ž›]–Ç=“ÏptsŽ‘¡¾«[0Ž˜]±:Ïme‘ÿ}'diateŽ‘"½u«(ÏptsŽ‘ Ú¦«[1Ž˜]);Ž¡‘ÏptsŽ‘+Ú©«[9Ž›]–Ç=“ÏptsŽ‘¡¾«[1Ž˜]±:Ïme‘ÿ}'diateŽ‘"½u«(ÏptsŽ‘ Ú¦«[2Ž˜]);Ž¡‘ÏptsŽ‘+Ú©«[10ŽŽ‘ +]–Ç=“ÏptsŽ‘¡¾«[2Ž–]±:Ïme‘ÿ}'diateŽ‘"½u«(ÏptsŽ‘ Ú¦«[0Ž“]);Ž¡#ÂifŽ‘ ´ø«0ŽŽ¡‘ÂforŽ‘/艫(±iŽ‘9 «=‘Ç8Ž‘Ç;‘ÿý±iŽ‘ 9 <‘Ç«11ŽŽ‘ Ç;‘ÿý±iŽ‘ññŸÿ®+‘ÿ+ŽŽ‘¹«)‘ÏptsŽ‘Ú¦«[±iŽ–qô«]±:Ïlab‘ÿ}'elŽ‘t˜«(±iŽ“«);Ž¡#ÂendifŽŽ¦‘usingŽ‘ù«is“the“distance“along“one“of“these“line“segmen˜ts“to“the“in˜tersectionŽ¡pGoinš¸ãt–UUdivided“b˜y“the“length“of“the“en˜tire“line“segmen˜t.‘qÇ[¬LDF‘T2002.08.12.«]ŽŽ¡‘ Since–Ú/this“ratio“should“bGe“the“same“for“all“ÏT‘ÿ;¼etr–ÿ}'ahe“dr“aŽ‘4b¿«,‘;ethere's“no“need“to“recalculate“it“eac¸ãh“time“aŽ¡ÂT‘ÿ «etrahedronŽ‘Ck«is–Ïconstructed.‘ÞøIn“addition,‘-inš¸ãtersections“can't“alw˜a˜ys“bšGe“found,‘-b˜ecause“of“inaccuraciesŽ¡caused–UUb¸ãy“rotating“the“triangles.‘qÇ[¬LDF‘T2002.08.12.«]ŽŽ¡‘ Therefore,‘xgI'vš¸ãe–qccalculated“distance“using“the“commen˜ted-out“cošGde“b˜eloš¸ãw,‘xgand“no˜w“simply“use“the“v‘ÿqÇalue“IŽ¡found.‘qÇ[¬LDF‘T2002.08.12.«]ŽŽ©·h–ª¨«De ne‘UUÂT‘ÿ -«etrahedronŽ‘EF®«functions‘@­1435“·i‘Ç«+·Ž¡‘ +«etrahedronŽ‘EF®«functions‘@­1440“·i‘Ç«+·Ž¡‘ ÂrealŽ‘ ³/Ïdistanc‘ÿ}'eŽ‘GÀD«=‘Ç0±:«74997889995574951171875ŽŽ‘}ŽM;Ž¡#ÂifŽ‘ ´ø«0ŽŽ¡‘ ÂP•®9oin“tŽ‘(ïžÝP0Ž‘6½«=‘ÇÂP•®9oin“tŽ‘ad«::Ž‘%ï¢Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ‘s†x«(ÏptsŽ‘ Ú¦«[0Ž–]±;‘ª¨ÏptsŽ›…N«[6Ž“]±;‘ª¨ÏptsŽ˜«[1Ž“]±;‘ª¨ÏptsŽ˜«[5Ž“])±:ÏptŽ‘ ä«;ަ‘ ÝP0Ž‘c±:ÏshowŽ‘Šÿ«(Ý"P0È Ý=È Ý0,È Ý6,È Ý1,È Ý5:"Ž‘_2«);Ž¡‘ @@ -5286,70 +5358,70 @@ Ïc‘ÿ}'outŽ‘Y8±:Ïpr–ÿ}'e“cisionŽ‘'½6«(25ŽŽ‘ );Ž¡‘ Ïc‘ÿ}'outŽ‘ P·‘ÇÝ"distanceÈ Ý==È Ý"Ž‘O”n·‘ÇÏdistanc‘ÿ}'eŽ‘)Ô-·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘ -Ïc‘ÿ}'outŽ‘Y8±:Ïpr–ÿ}'e“cisionŽ‘'½6«(6Ž‘);Ž¡#ÂendifŽŽŸ1440.ަ·h–ª¨«De ne‘UUÂT‘ÿ -«etrahedronŽ‘EF®«functions‘@­1435“·i‘Ç«+·Ž¡‘ -Ïc‘ÿ}'enterŽ‘(Ф«=‘ÇÏme‘ÿ}'diateŽ‘%„«(ÏptsŽ‘ Ú¦«[1Ž–]±;‘ª¨ÏptsŽ‘…N«[5Ž“]±;‘ª¨Ïdistanc‘ÿ}'eŽ‘%ð¥«);Ž¡‘ +Ïc‘ÿ}'outŽ‘Y8±:Ïpr–ÿ}'e“cisionŽ‘'½6«(6Ž‘);Ž¡#ÂendifŽŽŸ1445.ަ·h–ª¨«De ne‘UUÂT‘ÿ +«etrahedronŽ‘EF®«functions‘@­1440“·i‘Ç«+·Ž¡‘ +Ïc‘ÿ}'enterŽ‘(Ф«=‘ÇÏptsŽ‘¡¾«[1Ž–]±:Ïme‘ÿ}'diateŽ‘"½u«(ÏptsŽ‘ Ú¦«[5Ž“]±;‘ª¨Ïdistanc‘ÿ}'eŽ‘%ð¥«);Ž¡‘ ÂforŽ‘臫(±iŽ‘9 «=‘Ç0Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«4Ž“;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘:óP«[±iŽ‘qô«]‘þŸ±~ŽŽ‘ÏshiftŽ‘~«(·Ž‘ÇÏc‘ÿ}'enterŽ‘#Щ«);Ž¡‘ 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«etrahedronŽ‘Bñ]«::‘Ïget‘‰ffŽ‘®netŽ‘ 4Ì«(ÂconstŽ‘*¢realŽ‘4ÝÐÏtriangle‘‰ffŽ‘®diameterŽ’nö«)Ž¡‘ ·fŽ¡‘Âv®9ectorŽ‘3ªJ·hÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘DÔ ·Ž‘IÔ i‘UUÏtrianglesŽ‘)Ù.«;Ž¡‘Âin®9tŽ‘%¤ù±iŽ‘)í«;ަ‘ÂforŽ‘%舫(±iŽ‘9 «=‘Ç0Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«4Ž“;‘ÿý±iŽ‘ññŸÿ®+‘ÿ+ŽŽ‘¹«)‘ÏtrianglesŽ‘+ƒÙ±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘B~¸«::Ž‘I öÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“r–ÿ}'e“g‘‰ffŽ‘®p“olygonŽ’¬ƒ8«(‘ª¨));Ž¡‘ÏtrianglesŽ‘:ƒÛ«[0Ž‘]‘þŸ±~ŽŽ‘ÏsetŽ‘x…«(ÏoriginŽ‘ö!±;‘ª¨«3Ž–ª©±;‘ª¨Ïtriangle‘‰ffŽ‘®diameterŽ‘N;α;‘ª¨«0Ž“±;‘ª¨«180ŽŽ‘ª«);Ž¡‘ÏtrianglesŽ‘:ƒÛ«[1Ž‘]‘þŸ±~ŽŽ‘ÏsetŽ‘x…«(ÏoriginŽ‘ö!±;‘ª¨«3Ž‘ª©±;‘ª¨Ïtriangle‘‰ffŽ‘®diameterŽ‘N;Ϋ);ަ‘ÂP•®9oin“tŽ‘2ïŸÏptsŽ‘@ÊE«[6Ž‘];ަ‘ÂforŽ‘%舫(±iŽ‘9 «=‘Ç0Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«3Ž“;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘·fŽ¡‘ÏptsŽ‘+Ú©«[±iŽ›qô«]–Ç=“ÏtrianglesŽ‘)Jñ«[0Ž‘]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(±iŽ˜«);Ž¡‘·gŽ¡‘ÂforŽ‘%舫(±iŽ‘9 «=‘Ç3Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«6Ž“;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘·fŽ¡‘ÏptsŽ‘+Ú©«[±iŽ‘qô«]–Ç=“ÏtrianglesŽ‘)Jñ«[1Ž‘]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(±iŽ‘ªÔ·‘8à«3Ž‘8á);Ž¡‘·gŽ¡‘Ž‘ÏtrianglesŽ‘?ƒÜ«[2Ž›]–Ç=“·Ž‘ÇÏtrianglesŽ‘.Jò«[3Ž˜]“=“·Ž‘ÇÏtrianglesŽ‘.Jò«[1Ž˜];Ž¡‘ÏtrianglesŽ‘:ƒÛ«[1Ž–]‘þŸ±~ŽŽ‘ÏshiftŽ‘~«(ÏptsŽ‘ Ú¦«[0Ž“]–8à·“ÏptsŽ‘†«[4Ž‘]);Ž¡‘ÏtrianglesŽ‘:ƒÛ«[2Ž–]‘þŸ±~ŽŽ‘ÏshiftŽ‘~«(ÏptsŽ‘ Ú¦«[0Ž“]–8à·“ÏptsŽ‘†«[5Ž‘]);Ž¡‘ÏtrianglesŽ‘:ƒÛ«[3Ž–]‘þŸ±~ŽŽ‘ÏshiftŽ‘~«(ÏptsŽ‘ Ú¦«[2Ž“]–8à·“ÏptsŽ‘†«[4Ž‘]);Ž¡‘ÂreturnŽ‘7æ¼ÏtrianglesŽ‘^j•«;Ž¡‘ -·gŽŸÂ1445.– üDra®9w‘Ânet.“«[¬LDF‘T2002.11.12.«]Ž‘[VAs–#$of“this“date“it's“necessary“to“rotate“the“triangles“in¸ãto“the“x-yŽ¡plane,‘YbGecause‘XSÂP•®9oin“tŽ‘òŸ«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ‘N–Ú«(‘ª®)–XShas“a“bug“that“I›XRdisco•¸ãv“ered–XSwhen“I˜tried“to“call“it“on“ÂP•®9oin“tsŽ‘&Ô*«inŽ¡the–C -x-z“plane.‘k®It's“not“so“terrible,‘F³bGecause“as“of“this“date“it's“necessary“to“put“the“ÂPictureŽ‘,"!«in“the“x-y“planeŽ¡in–‚order“to“use“the“parallel“pro‘Ž8jection.‘ MThe“latter“currenš¸ãtly“only“w˜orks“for“the“x-y“plane.‘ MTO‘sDO:“Fix“theŽ¡bug–UUand“get“parallel“pro›Ž8jection“on¸ãto“other“ma˜jor“planes“to“w¸ãork!ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.11.12.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂT‘ÿ -«etrahedronŽ‘EF®«functions‘@­1434“·i‘Ç«+·Ž¡‘ -ÂstaticŽ‘)HÚv®9oidŽ‘BF²Ïdr‘ÿ}'aw‘‰ffŽ‘®netŽ‘iˆE«(ÂconstŽ‘*¢realŽ‘4ÝÐÏtriangle‘‰ffŽ‘®diameterŽ’nö±;‘ª¨Âb•QÇo“olŽ‘LÏmake‘‰ffŽ‘®tabsŽ‘J²”«=‘ÇÏtrueŽ‘‹°«);ŽŽŽŒ‹¶î¡ Šn ý‘ì«438–­DRA‘ÿ8W‘ÕXNET’-Ài3DLDFPRÃŽG“·x«1446Ž €n ý•@PÂ1446.Ž©·h–ª¨«De ne‘UUÂT‘ÿ -«etrahedronŽ‘EF®«functions‘@­1435“·i‘Ç«+·ޤ ‘ +·gŽŸÂ1450.– üDra®9w‘Ânet.“«[¬LDF‘T2002.11.12.«]Ž‘[VAs–#$of“this“date“it's“necessary“to“rotate“the“triangles“in¸ãto“the“x-yŽ¡plane,‘YbGecause‘XSÂP•®9oin“tŽ‘òŸ«::‘Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ‘N–Ú«(‘ª®)–XShas“a“bug“that“I›XRdisco•¸ãv“ered–XSwhen“I˜tried“to“call“it“on“ÂP•®9oin“tsŽ‘&Ô*«inŽ¡the–C +x-z“plane.‘k®It's“not“so“terrible,‘F³bGecause“as“of“this“date“it's“necessary“to“put“the“ÂPictureŽ‘,"!«in“the“x-y“planeŽ¡in–‚order“to“use“the“parallel“pro‘Ž8jection.‘ MThe“latter“currenš¸ãtly“only“w˜orks“for“the“x-y“plane.‘ MTO‘sDO:“Fix“theŽ¡bug–UUand“get“parallel“pro›Ž8jection“on¸ãto“other“ma˜jor“planes“to“w¸ãork!ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ +«[¬LDF‘T2002.11.12.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`ÕÁGŽŽ¦·h–ª¨«Declare‘UUÂT‘ÿ +«etrahedronŽ‘EF®«functions‘@­1439“·i‘Ç«+·Ž¡‘ +ÂstaticŽ‘)HÚv®9oidŽ‘BF²Ïdr‘ÿ}'aw‘‰ffŽ‘®netŽ‘iˆE«(ÂconstŽ‘*¢realŽ‘4ÝÐÏtriangle‘‰ffŽ‘®diameterŽ’nö±;‘ª¨Âb•QÇo“olŽ‘LÏmake‘‰ffŽ‘®tabsŽ‘J²”«=‘ÇÏtrueŽ‘‹°«);ŽŽŽŒ‹ºì3 Šn ý‘ì«442–­DRA‘ÿ8W‘ÕXNET’-Ài3DLDFPRÃŽG“·x«1451Ž €n ý•@PÂ1451.Ž©·h–ª¨«De ne‘UUÂT‘ÿ +«etrahedronŽ‘EF®«functions‘@­1440“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙT‘ÿ «etrahedronŽ‘b™á«::‘Ïdr‘ÿ}'aw‘‰ffŽ‘®netŽ‘(A—«(ÂconstŽ‘*¢realŽ‘4ÝÐÏtriangle‘‰ffŽ‘®diameterŽ’nö±;‘ª¨Âb•QÇo“olŽ‘LÏmake‘‰ffŽ‘®tabsŽ‘Gë|«)Ž¡‘ ·fŽ¡‘Âv®9ectorŽ‘3ªJ·hÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘DÔ ·Ž‘IÔ i‘UU±vŽ‘ Q*«=‘ÇÏget‘‰ffŽ‘®netŽ‘!ûà«(Ïtriangle‘‰ffŽ‘®diameterŽ‘L‘&«);Ž¡‘Âin®9tŽ‘%¤ù±iŽ‘)í«;ަ‘ÂforŽ‘%舫(±iŽ‘9 «=‘Ç0Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«4Ž“;‘ÿý±iŽ‘ññŸÿ®+‘ÿ+ŽŽ‘¹«)‘·fŽ¡‘±vŽ‘#4À«[±iŽ‘qô«]‘þŸ±~ŽŽ‘Ïr‘ÿ}'otateŽ‘o?«(90ŽŽ‘ );Ž¡‘±vŽ‘#4À«[±iŽ‘qô«]‘þŸ±~ŽŽ‘Ïdr‘ÿ}'awŽ‘(Ü«(‘ª¨);Ž¡‘±vŽ‘#4À«[±iŽ–qô«]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ‘0=H«(›ª¨)±:Ïlab‘ÿ}'elŽ‘t˜«(±iŽ“;˜Ý""Ž‘ ± «);Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(·:Ïmake‘‰ffŽ‘®tabsŽ‘,Ÿn«)‘ÂreturnŽ‘%‘e«;ަ‘ÂP•®9oin“tŽ‘2ïŸÏptsŽ‘@ÊE«[32ŽŽ‘ -];ަ‘ÏptsŽ‘!Ú¨«[0Ž›]–Ç=“±vŽ‘ûÕ«[2Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(1Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[1Ž›]–Ç=“±vŽ‘ûÕ«[2Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(2Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[2Ž›]–Ç=“±vŽ‘ûÕ«[1Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(2Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[3Ž›]–Ç=“±vŽ‘ûÕ«[1Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(0Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[4Ž›]–Ç=“±vŽ‘ûÕ«[3Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(0Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[5Ž›]–Ç=“±vŽ‘ûÕ«[3Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(1Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[6Ž›]–Ç=“Ïme‘ÿ}'diateŽ‘%„«(ÏptsŽ‘ Ú¦«[0Ž˜]±;‘ª¨ÏptsŽ‘…N«[5Ž˜]±;‘ª¨:«075ŽŽ‘qÈ);Ž¡‘ÏptsŽ‘!Ú¨«[7Ž›]–Ç=“Ïme‘ÿ}'diateŽ‘%„«(ÏptsŽ‘ Ú¦«[5Ž˜]±;‘ª¨ÏptsŽ‘…N«[0Ž˜]±;‘ª¨:«075ŽŽ‘qÈ);Ž¡‘ÏptsŽ‘!Ú¨«[8Ž›]–Ç=“ÏptsŽ‘¡¾«[6Ž˜];Ž¡‘ÏptsŽ‘!Ú¨«[9Ž›]–Ç=“ÏptsŽ‘¡¾«[7Ž˜];Ž¡‘ÏptsŽ‘!Ú¨«[8Ž–]‘Ç·«=ŽŽ‘UOÏptsŽ‘ /õ«[9Ž“]±:ÏshiftŽ‘}«(0Ž“±;‘ª¨«0Ž–ª©±;‘ª¨«1Ž“);Ž¡‘ÏptsŽ‘!Ú¨«[10ŽŽ‘ +];ަ‘ÏptsŽ‘!Ú¨«[0Ž›]–Ç=“±vŽ‘ûÕ«[2Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(1Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[1Ž›]–Ç=“±vŽ‘ûÕ«[2Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(2Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[2Ž›]–Ç=“±vŽ‘ûÕ«[1Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(2Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[3Ž›]–Ç=“±vŽ‘ûÕ«[1Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(0Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[4Ž›]–Ç=“±vŽ‘ûÕ«[3Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(0Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[5Ž›]–Ç=“±vŽ‘ûÕ«[3Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(1Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[6Ž›]–Ç=“ÏptsŽ‘¡¾«[0Ž˜]±:Ïme‘ÿ}'diateŽ‘"½u«(ÏptsŽ‘ Ú¦«[5Ž˜]±;‘ª¨:«075ŽŽ‘qÈ);Ž¡‘ÏptsŽ‘!Ú¨«[7Ž›]–Ç=“ÏptsŽ‘¡¾«[5Ž˜]±:Ïme‘ÿ}'diateŽ‘"½u«(ÏptsŽ‘ Ú¦«[0Ž˜]±;‘ª¨:«075ŽŽ‘qÈ);Ž¡‘ÏptsŽ‘!Ú¨«[8Ž›]–Ç=“ÏptsŽ‘¡¾«[6Ž˜];Ž¡‘ÏptsŽ‘!Ú¨«[9Ž›]–Ç=“ÏptsŽ‘¡¾«[7Ž˜];Ž¡‘ÏptsŽ‘!Ú¨«[8Ž–]‘Ç·«=ŽŽ‘UOÏptsŽ‘ /õ«[9Ž“]±:ÏshiftŽ‘}«(0Ž“±;‘ª¨«0Ž–ª©±;‘ª¨«1Ž“);Ž¡‘ÏptsŽ‘!Ú¨«[10ŽŽ‘ ]–Ç=“ÏptsŽ‘¡¾«[0Ž‘];Ž¡‘ÏptsŽ‘!Ú¨«[11ŽŽ‘ ]–Ç=“ÏptsŽ‘¡¾«[5Ž‘];Ž¡‘ÏptsŽ‘!Ú¨«[10ŽŽ‘ ]±:Ïr‘ÿ}'otateŽ‘o>«(ÏptsŽ‘ Ú¦«[6Ž–]±;‘ª¨ÏptsŽ‘…N«[8Ž“]±;‘ª¨·Ž‘ qÆ«110ŽŽ‘qÉ);Ž¡‘ÏptsŽ‘!Ú¨«[11ŽŽ‘ ]±:Ïr‘ÿ}'otateŽ‘o>«(ÏptsŽ‘ Ú¦«[7Ž–]±;‘ª¨ÏptsŽ‘…N«[9Ž“]±;‘ª¨«110ŽŽ‘ª«);Ž¡‘ÏptsŽ‘!Ú¨«[10ŽŽ› -]–Ç=“Ïme‘ÿ}'diateŽ‘%„«(ÏptsŽ‘ Ú¦«[6Ž‘]±;‘ª¨ÏptsŽ‘…N«[10ŽŽ˜]±;‘ª¨«1±:«5ŽŽ‘qÇ);Ž¡‘ÏptsŽ‘!Ú¨«[11ŽŽ› -]–Ç=“Ïme‘ÿ}'diateŽ‘%„«(ÏptsŽ‘ Ú¦«[7Ž‘]±;‘ª¨ÏptsŽ‘…N«[11ŽŽ˜]±;‘ª¨«1±:«5ŽŽ‘qÇ);Ž¡#ÂifŽ‘ ´ø«0ŽŽ¡‘ÂforŽ‘%舫(±iŽ‘9 «=‘Ç0Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«8Ž“;‘ÿý±iŽ‘ññŸÿ®+‘ÿ+ŽŽ‘¹«)‘ÏptsŽ‘Ú¦«[±iŽ–qô«]±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(±iŽ“«);Ž¡‘ÏptsŽ‘!Ú¨«[10ŽŽ– +]–Ç=“ÏptsŽ‘¡¾«[6Ž‘]±:Ïme‘ÿ}'diateŽ‘"½u«(ÏptsŽ‘ Ú¦«[10ŽŽ˜]±;‘ª¨«1±:«5ŽŽ‘qÇ);Ž¡‘ÏptsŽ‘!Ú¨«[11ŽŽ› +]–Ç=“ÏptsŽ‘¡¾«[7Ž‘]±:Ïme‘ÿ}'diateŽ‘"½u«(ÏptsŽ‘ Ú¦«[11ŽŽ˜]±;‘ª¨«1±:«5ŽŽ‘qÇ);Ž¡#ÂifŽ‘ ´ø«0ŽŽ¡‘ÂforŽ‘%舫(±iŽ‘9 «=‘Ç0Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«8Ž“;‘ÿý±iŽ‘ññŸÿ®+‘ÿ+ŽŽ‘¹«)‘ÏptsŽ‘Ú¦«[±iŽ–qô«]±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(±iŽ“«);Ž¡‘ÏptsŽ‘!Ú¨«[10ŽŽ– ]±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(10ŽŽ“);Ž¡‘ÏptsŽ‘!Ú¨«[11ŽŽ– ]±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(11ŽŽ“);Ž¡#ÂendifŽŽ¦‘P®9athŽ‘/æ»±pŽ‘4[6Ž‘];ަ‘±pŽ‘«[0Ž–]±:ÏsetŽ‘ x„«(Ý"--"Ž‘†\±;‘ª¨ÏtrueŽ‘o@±;‘ª¨«&Ž‘ qÆÏptsŽ›Ll«[6Ž“]±;‘ª¨«&Ž‘ qÆÏptsŽ˜«[10ŽŽ– ]±;‘ª¨«&Ž‘ qÆÏptsŽ˜«[11ŽŽ“]±;‘ª¨«&Ž‘ qÆÏptsŽ˜«[7Ž‘]±;‘ª¨«0Ž‘ª©);Ž¡‘±pŽ‘«[0Ž‘]±:Ïdr‘ÿ}'awŽ‘(Û«(‘ª¨);Ž¡‘ÏptsŽ‘!Ú¨«[12ŽŽ‘ -]–Ç=“Ïme‘ÿ}'diateŽ‘%„«(ÏptsŽ‘ Ú¦«[6Ž–]±;‘ª¨ÏptsŽ‘…N«[7Ž“]);Ž¡‘ÏptsŽ‘!Ú¨«[13ŽŽ› -]–Ç=“Ïme‘ÿ}'diateŽ‘%„«(ÏptsŽ‘ Ú¦«[10ŽŽ˜]±;‘ª¨ÏptsŽ‘…N«[11ŽŽ˜]);Ž¡#ÂifŽ‘ ´ø«0ŽŽ¡‘ÏptsŽ‘!Ú¨«[12ŽŽ– +]–Ç=“ÏptsŽ‘¡¾«[6Ž–]±:Ïme‘ÿ}'diateŽ‘"½u«(ÏptsŽ‘ Ú¦«[7Ž“]);Ž¡‘ÏptsŽ‘!Ú¨«[13ŽŽ› +]–Ç=“ÏptsŽ‘¡¾«[10ŽŽ˜]±:Ïme‘ÿ}'diateŽ‘"½u«(ÏptsŽ‘ Ú¦«[11ŽŽ˜]);Ž¡#ÂifŽ‘ ´ø«0ŽŽ¡‘ÏptsŽ‘!Ú¨«[12ŽŽ– ]±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(12ŽŽ“);Ž¡‘ÏptsŽ‘!Ú¨«[13ŽŽ– ]±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(13ŽŽ“);Ž¡#ÂendifŽŽ¡‘±pŽ‘«[1Ž‘]±:ÏsetŽ‘ x„«(ÏptsŽ‘ Ú¦«[12ŽŽ– ]±;‘ª¨ÏptsŽ‘…N«[13ŽŽ“]);Ž¡#ÂifŽ‘ ´ø«0ŽŽ¡‘±pŽ‘«[1Ž–]±:Ïdr‘ÿ}'aw‘‰ffŽ‘®helpŽ‘*Ũ«(·Ž“ÂColorsŽ‘&Øß«::Ž‘-gÏhelp‘‰ffŽ‘®c‘ÿ}'olorŽ‘Y!‘±;‘ª¨Ý""Ž‘ ± «);Ž¡#ÂendifŽŽ¡‘ÏptsŽ‘!Ú¨«[14ŽŽ› -]–Ç=“Ïme‘ÿ}'diateŽ‘%„«(ÏptsŽ‘ Ú¦«[12ŽŽ˜]±;‘ª¨ÏptsŽ‘…N«[13ŽŽ˜]);Ž¡#ÂifŽ‘ ´ø«0ŽŽ¡‘ÏptsŽ‘!Ú¨«[14ŽŽ– -]±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(14ŽŽ“);ŽŽŽŒ‹·û• Šn ý‘ì·x«1446–­3DLDFPRÃŽG’-ÀiDRA‘ÿ8W‘ÕXNET“«439Ž €n ý•@P#ÂendifŽŽ¤ ‘ÏptsŽ‘!Ú¨«[15ŽŽ‘ -]–Ç=“Ïme‘ÿ}'diateŽ‘%„«(ÏptsŽ‘ Ú¦«[6Ž–]±;‘ª¨ÏptsŽ‘…N«[7Ž“]±;‘ª¨:«25ŽŽ‘qÇ);Ž¡#ÂifŽ‘ ´ø«0ŽŽ¡‘ÏptsŽ‘!Ú¨«[15ŽŽ– +]–Ç=“ÏptsŽ‘¡¾«[12ŽŽ˜]±:Ïme‘ÿ}'diateŽ‘"½u«(ÏptsŽ‘ Ú¦«[13ŽŽ˜]);Ž¡#ÂifŽ‘ ´ø«0ŽŽ¡‘ÏptsŽ‘!Ú¨«[14ŽŽ– +]±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(14ŽŽ“);ŽŽŽŒ‹»øü Šn ý‘ì·x«1451–­3DLDFPRÃŽG’-ÀiDRA‘ÿ8W‘ÕXNET“«443Ž €n ý•@P#ÂendifŽŽ¤ ‘ÏptsŽ‘!Ú¨«[15ŽŽ‘ +]–Ç=“ÏptsŽ‘¡¾«[6Ž–]±:Ïme‘ÿ}'diateŽ‘"½u«(ÏptsŽ‘ Ú¦«[7Ž“]±;‘ª¨:«25ŽŽ‘qÇ);Ž¡#ÂifŽ‘ ´ø«0ŽŽ¡‘ÏptsŽ‘!Ú¨«[15ŽŽ– ]±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(15ŽŽ“);Ž¡#ÂendifŽŽ¡‘ÏptsŽ‘!Ú¨«[16ŽŽ› ]–Ç=“ÏptsŽ‘¡¾«[14ŽŽ˜];Ž¡‘ÏptsŽ‘!Ú¨«[16ŽŽ– ]±:ÏshiftŽ‘}«(ÏptsŽ‘ Ú¦«[15ŽŽ“]–8à·“ÏptsŽ‘†«[12ŽŽ‘ @@ -5363,21 +5435,21 @@ ]±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(18ŽŽ“);Ž¡#ÂendifŽŽ¡‘±pŽ‘«[2Ž‘]±:ÏsetŽ‘ x„«(ÏptsŽ‘ Ú¦«[17ŽŽ– ]±;‘ª¨ÏptsŽ‘…N«[18ŽŽ“]);Ž¡#ÂifŽ‘ ´ø«0ŽŽ¡‘±pŽ‘«[2Ž–]±:Ïdr‘ÿ}'aw‘‰ffŽ‘®helpŽ‘*Ũ«(·Ž“ÂColorsŽ‘&Øß«::Ž‘-gÏhelp‘‰ffŽ‘®c‘ÿ}'olorŽ‘Y!‘±;‘ª¨Ý""Ž‘ ± «);Ž¡#ÂendifŽŽ¡‘forŽ‘%舫(±iŽ‘9 «=‘Ç1Ž‘Ç;‘ÿý±iŽ‘ 9 <‘Ç«16ŽŽ‘ Ç;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘·fŽ¡‘ÏptsŽ‘+Ú©«[19ŽŽ› -]–Ç=“Ïme‘ÿ}'diateŽ‘%„«(ÏptsŽ‘ Ú¦«[17ŽŽ˜]±;‘ª¨ÏptsŽ‘…N«[18ŽŽ˜]±;‘ª¨iŽ‘œ=«16±:«0ŽŽ‘Ç );Ž¡‘ÏptsŽ‘+Ú©«[19ŽŽ‘ +]–Ç=“ÏptsŽ‘¡¾«[17ŽŽ˜]±:Ïme‘ÿ}'diateŽ‘"½u«(ÏptsŽ‘ Ú¦«[18ŽŽ˜]±;‘ª¨iŽ‘œ=«16±:«0ŽŽ‘Ç );Ž¡‘ÏptsŽ‘+Ú©«[19ŽŽ‘ ]±:Ïdr‘ÿ}'awdotŽ‘#“«(·Ž‘ÂColorsŽ‘&Øß«::Ž‘-gÏdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘dâø±;‘ª¨Ý"pencircleÈ ÝscaledÈ Ý.5Ž‘jªlmm"Ž‘zðË«);Ž¡‘·gŽ¡‘ÏptsŽ‘!Ú¨«[20ŽŽ› ]–Ç=“ÏptsŽ‘¡¾«[17ŽŽ˜];Ž¡‘ÏptsŽ‘!Ú¨«[21ŽŽ› ]–Ç=“ÏptsŽ‘¡¾«[18ŽŽ˜];Ž¡‘±pŽ‘«[3Ž›]–Ç=“±pŽ‘Ï«[0Ž˜];ޤ‘ÂT‘ÿ «ransformŽ‘KÈÔ±tŽ‘OeF«;Ž¡‘±tŽ‘œt:ÏshiftŽ‘}«(ÏptsŽ‘ Ú¦«[4Ž›]–8à·“ÏptsŽ‘†«[5Ž˜]);ޤ ‘±tŽ‘œt:Ïr‘ÿ}'otateŽ‘o>«(ÏptsŽ‘ Ú¦«[4Ž–]±;‘ª¨ÏptsŽ‘…N«[5Ž“]);Ž¡‘ÏptsŽ‘!Ú¨«[20ŽŽ– ]‘Ç·«=ŽŽ‘UOÏptsŽ‘ 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Ú¦«[21ŽŽ˜]±;‘ª¨iŽ‘œ=«16±:«0ŽŽ‘Ç );Ž¡‘ÏptsŽ‘+Ú©«[19ŽŽ‘ ]±:Ïdr‘ÿ}'awdotŽ‘#“«(·Ž‘ÂColorsŽ‘&Øß«::Ž‘-gÏdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘dâø±;‘ª¨Ý"pencircleÈ ÝscaledÈ Ý.5Ž‘jªlmm"Ž‘zðË«);Ž¡‘·gŽ¡‘ÏptsŽ‘!Ú¨«[20ŽŽ› ]–Ç=“ÏptsŽ‘¡¾«[17ŽŽ˜];Ž¡‘ÏptsŽ‘!Ú¨«[21ŽŽ› -]–Ç=“ÏptsŽ‘¡¾«[18ŽŽ˜];Ž¡‘±pŽ‘«[3Ž›]–Ç=“±pŽ‘Ï«[0Ž˜];ŽŽŽŒ‹¸ 4 Šn ý‘ì«440–­DRA‘ÿ8W‘ÕXNET’-Ài3DLDFPRÃŽG“·x«1446Ž €n ý•@P‘ÏptsŽ‘!Ú¨«[20ŽŽ– +]–Ç=“ÏptsŽ‘¡¾«[18ŽŽ˜];Ž¡‘±pŽ‘«[3Ž›]–Ç=“±pŽ‘Ï«[0Ž˜];ŽŽŽŒ‹¼  Šn ý‘ì«444–­DRA‘ÿ8W‘ÕXNET’-Ài3DLDFPRÃŽG“·x«1451Ž €n ý•@P‘ÏptsŽ‘!Ú¨«[20ŽŽ– ]‘Ç·«=ŽŽ‘UOÏptsŽ‘ /õ«[21ŽŽ“]‘Ç·«=ŽŽ‘UO±pŽ‘]O«[3Ž‘]‘Ç·«=ŽŽ‘UO±tŽ‘ñÁ«;ޤ ‘±pŽ‘«[3Ž‘]±:Ïdr‘ÿ}'awŽ‘(Û«(‘ª¨);Ž¡‘ÂforŽ‘%舫(±iŽ‘9 «=‘Ç1Ž‘Ç;‘ÿý±iŽ‘ 9 <‘Ç«16ŽŽ‘ Ç;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘·fŽ¡‘ÏptsŽ‘+Ú©«[19ŽŽ› -]–Ç=“Ïme‘ÿ}'diateŽ‘%„«(ÏptsŽ‘ Ú¦«[20ŽŽ˜]±;‘ª¨ÏptsŽ‘…N«[21ŽŽ˜]±;‘ª¨iŽ‘œ=«16±:«0ŽŽ‘Ç );Ž¡‘ÏptsŽ‘+Ú©«[19ŽŽ‘ +]–Ç=“ÏptsŽ‘¡¾«[20ŽŽ˜]±:Ïme‘ÿ}'diateŽ‘"½u«(ÏptsŽ‘ Ú¦«[21ŽŽ˜]±;‘ª¨iŽ‘œ=«16±:«0ŽŽ‘Ç );Ž¡‘ÏptsŽ‘+Ú©«[19ŽŽ‘ ]±:Ïdr‘ÿ}'awdotŽ‘#“«(·Ž‘ÂColorsŽ‘&Øß«::Ž‘-gÏdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘dâø±;‘ª¨Ý"pencircleÈ ÝscaledÈ Ý.5Ž‘jªlmm"Ž‘zðË«);Ž¡‘·gŽ¡‘±tŽ‘œt:Ïr‘ÿ}'esetŽ‘Æ·«(‘ª¨);Ž¡‘ÏptsŽ‘!Ú¨«[22ŽŽ‘ ]–Ç=“±vŽ‘ûÕ«[2Ž‘]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ‘0=H«(‘ª¨);Ž¡‘ÏptsŽ‘!Ú¨«[23ŽŽ› ]–Ç=“ÏptsŽ‘¡¾«[22ŽŽ˜];Ž¡‘ÏptsŽ‘!Ú¨«[23ŽŽ‘ @@ -5386,34 +5458,34 @@ ]–Ç=“ÏptsŽ‘¡¾«[17ŽŽ˜];Ž¡‘ÏptsŽ‘!Ú¨«[21ŽŽ› ]–Ç=“ÏptsŽ‘¡¾«[18ŽŽ˜];Ž¡‘±pŽ‘«[3Ž›]–Ç=“±pŽ‘Ï«[0Ž˜];Ž¡‘ÏptsŽ‘!Ú¨«[20ŽŽ– ]‘Ç·«=ŽŽ‘UOÏptsŽ‘ /õ«[21ŽŽ“]‘Ç·«=ŽŽ‘UO±pŽ‘]O«[3Ž‘]‘Ç·«=ŽŽ‘UO±tŽ‘ñÁ«;Ž¡‘±pŽ‘«[3Ž‘]±:Ïdr‘ÿ}'awŽ‘(Û«(‘ª¨);Ž¡‘ÂforŽ‘%舫(±iŽ‘9 «=‘Ç1Ž‘Ç;‘ÿý±iŽ‘ 9 <‘Ç«16ŽŽ‘ Ç;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘·fŽ¡‘ÏptsŽ‘+Ú©«[19ŽŽ› -]–Ç=“Ïme‘ÿ}'diateŽ‘%„«(ÏptsŽ‘ Ú¦«[20ŽŽ˜]±;‘ª¨ÏptsŽ‘…N«[21ŽŽ˜]±;‘ª¨iŽ‘œ=«16±:«0ŽŽ‘Ç );Ž¡‘ÏptsŽ‘+Ú©«[19ŽŽ‘ +]–Ç=“ÏptsŽ‘¡¾«[20ŽŽ˜]±:Ïme‘ÿ}'diateŽ‘"½u«(ÏptsŽ‘ Ú¦«[21ŽŽ˜]±;‘ª¨iŽ‘œ=«16±:«0ŽŽ‘Ç );Ž¡‘ÏptsŽ‘+Ú©«[19ŽŽ‘ ]±:Ïdr‘ÿ}'awdotŽ‘#“«(·Ž‘ÂColorsŽ‘&Øß«::Ž‘-gÏdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘dâø±;‘ª¨Ý"pencircleÈ ÝscaledÈ Ý.5Ž‘jªlmm"Ž‘zðË«);Ž¡‘·gŽ¡‘±tŽ‘œt:Ïr‘ÿ}'otateŽ‘o>«(ÏptsŽ‘ Ú¦«[4Ž–]±;‘ª¨ÏptsŽ‘…N«[1Ž“]);Ž¡‘±tŽ‘œt:Ïr‘ÿ}'otateŽ‘o>«(ÏptsŽ‘ Ú¦«[0Ž–]±;‘ª¨ÏptsŽ‘…N«[2Ž“]);Ž¡‘ÏptsŽ‘!Ú¨«[20ŽŽ› ]–Ç=“ÏptsŽ‘¡¾«[17ŽŽ˜];Ž¡‘ÏptsŽ‘!Ú¨«[21ŽŽ› ]–Ç=“ÏptsŽ‘¡¾«[18ŽŽ˜];Ž¡‘±pŽ‘«[3Ž›]–Ç=“±pŽ‘Ï«[0Ž˜];Ž¡‘ÏptsŽ‘!Ú¨«[20ŽŽ– ]‘Ç·«=ŽŽ‘UOÏptsŽ‘ /õ«[21ŽŽ“]‘Ç·«=ŽŽ‘UO±pŽ‘]O«[3Ž‘]‘Ç·«=ŽŽ‘UO±tŽ‘ñÁ«;Ž¡‘±pŽ‘«[3Ž‘]±:Ïdr‘ÿ}'awŽ‘(Û«(‘ª¨);Ž¡‘ÂforŽ‘%舫(±iŽ‘9 «=‘Ç1Ž‘Ç;‘ÿý±iŽ‘ 9 <‘Ç«16ŽŽ‘ Ç;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘·fŽ¡‘ÏptsŽ‘+Ú©«[19ŽŽ› -]–Ç=“Ïme‘ÿ}'diateŽ‘%„«(ÏptsŽ‘ Ú¦«[20ŽŽ˜]±;‘ª¨ÏptsŽ‘…N«[21ŽŽ˜]±;‘ª¨iŽ‘œ=«16±:«0ŽŽ‘Ç );Ž¡‘ÏptsŽ‘+Ú©«[19ŽŽ‘ +]–Ç=“ÏptsŽ‘¡¾«[20ŽŽ˜]±:Ïme‘ÿ}'diateŽ‘"½u«(ÏptsŽ‘ Ú¦«[21ŽŽ˜]±;‘ª¨iŽ‘œ=«16±:«0ŽŽ‘Ç );Ž¡‘ÏptsŽ‘+Ú©«[19ŽŽ‘ ]±:Ïdr‘ÿ}'awdotŽ‘#“«(·Ž‘ÂColorsŽ‘&Øß«::Ž‘-gÏdefault‘‰ffŽ‘®c‘ÿ}'olorŽ‘dâø±;‘ª¨Ý"pencircleÈ ÝscaledÈ Ý.5Ž‘jªlmm"Ž‘zðË«);Ž¡‘·gŽ¡‘ -gޤÂ1447.‘ üDoQÇdecahedron.Ž¡1448.‘ üDoQÇdecahedron–ÕTclass“de nition.ޤ‘ -formatŽ‘3c(ÏDo–ÿ}'de“c“ahe“dr“onŽ‘xLhPolyhe–ÿ}'dr“onŽŽ¡·h–ª¨«De ne‘UUÂclassŽ‘5¦DoQÇdecahedronŽ‘k58­1448“·i‘Çޤ ‘ +gޤÂ1452.‘ üDoQÇdecahedron.Ž¡1453.‘ üDoQÇdecahedron–ÕTclass“de nition.ޤ‘ +formatŽ‘3c(ÏDo–ÿ}'de“c“ahe“dr“onŽ‘xLhPolyhe–ÿ}'dr“onŽŽ¡·h–ª¨«De ne‘UUÂclassŽ‘5¦DoQÇdecahedronŽ‘k58­1453“·i‘Çޤ ‘ ÂclassŽ‘$àRDoQÇdecahedronŽ‘põ5«:‘qÇÂpublicŽ‘'ñP®9olyhedronŽ‘dh·fŽ¡‘ ÂprotectedŽ‘:o™«:‘ÂstaticŽ‘$HÙconstŽ‘Bs{realŽ‘Y&©Ïdihe–ÿ}'dr“al‘‰ffŽ‘®angleŽ’–qq«;‘±=·‘ÿý«In‘UUradians!‘o·±=Ž¡‘ÂrealŽ‘*³0Ïp–ÿ}'entagon‘‰ffŽ‘®r“adiusŽ‘pÀ«;Ž©‘ -ÂpublicŽ‘)=Ö«:‘·h–ª¨«Declare‘UUÂDoQÇdecahedronŽ‘Oj8«functions‘@­1451“·iŽ¡‘ -g«;ŽŸ ­This–ÕXco‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.07.18.«]Ž‘X#GNoš¸ãw–papassing“\2.0"“instead“of“\2.0"“as“the“argumen˜t“to“ÏatanŽ‘âA«(‘ª®).‘%vGCC‘p'3.3“couldn't“compileŽ¡this–UU le,“the“w•¸ãa“y–UUit“w¸ãas“bGefore.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽŽŽŒ‹¹E Šn ý‘ì·x«1449‘­3DLDFPRÃŽG‘0m@DEFINE›ÕXÂST–ÿ -«A“TIC–ÕTCONST“DODECAHEDR®9ON˜­DÃŽA–ÿJªT“A˜MEMBERS‘«441Ž €n ý•@P·h–ª¨«De ne‘UUÂstaticŽ‘"ž.constŽ‘@ÈÐDoQÇdecahedronŽ’ŒÝ³«data‘UUmem¸ãbGers‘@­1449“·i‘ÇŽ© ‘ -ÂconstŽ‘(*£realŽ‘>ÝÑDoQÇdecahedronŽ’ˆc«::‘Ïdihe–ÿ}'dr“al‘‰ffŽ‘®angleŽ‘Aä«=‘ÇÝPIŽ‘Z·‘8àÏatanŽ‘ªÀ«(2±:«0ŽŽ‘ Ç);ŽŸ ­This–ÕXcoÝÑDoQÇdecahedronŽ’ˆc«::‘Ïdihe–ÿ}'dr“al‘‰ffŽ‘®angleŽ‘Aä«=‘ÇÝPIŽ‘Z·‘8àÏatanŽ‘ªÀ«(2±:«0ŽŽ‘ Ç);ŽŸ ­This–ÕXcoK&«.‘o·±=ަ‘Ïvertic‘ÿ}'esŽ‘8±X«=‘Ç20ŽŽ‘ Ç;ަ‘Ïe‘ÿ}'dgesŽ‘.™1«=‘Ç30ŽŽ‘ Ç;ަ‘Ïc‘ÿ}'enterŽ‘2Ð¥«=‘ÇÝINVALID_POINTŽ‘GY«;‘±=·‘ÿý«from‘UUÂP®9olyhedronŽ‘=c"«.‘o·±=ަ‘Ïnumb›ÿ}'er‘‰ffŽ–®of‘‰ffŽ“p˜olygon‘‰ffŽ“typ˜esŽ’R9«=‘Ç1Ž‘Ç;ަ‘Ïfac–ÿ}'e‘‰ffŽ‘®r“adiusŽ‘G%«=‘ÇÏe–ÿ}'dge‘‰ffŽ‘®r“adiusŽ‘7j«=‘ÇÏvertex‘‰ffŽ‘®r‘ÿ}'adiusŽ‘>þ¨«=‘ÇÝINVALID_REALŽ‘BM\«;ަ‘Ïp–ÿ}'entagon‘‰ffŽ‘®r“adiusŽ‘\Ô«=‘ÇÝINVALID_REALŽ‘BM\«;‘±=·‘ÿý«F‘ÿ*ªrom‘UUÂDoQÇdecahedronŽ‘Lã«.‘o·±=ަ‘ -·gŽ¡­See–ÕXalso“sections“1455,“1456,“1458,“and“1460.Ž¡This–ÕXco‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ +·gŽ¡­See–ÕXalso“sections“1460,“1461,“1463,“and“1465.Ž¡This–ÕXco„`ÊŽŽ¡·h–ª¨«Declare‘UUÂDoQÇdecahedronŽ‘Oj8«functions‘@­1451“·i‘Ç«+·ަ‘ -ÂDoQÇdecahedronŽ‘R¿«(ÂconstŽ‘‚P•®9oin“tŽ‘;É-«&Ž‘CK±pŽ‘H˜K;‘ª¨ÂconstŽ‘,ÁrealŽ‘57fÏp‘ÿ}'entagon‘‰ffŽ‘®diameterŽ’‡G±;‘ª¨ÂrealŽ‘µMÏangle‘‰ffŽ‘®xŽ‘;A«=‘Ç0Ž–Ç±;‘ª¨ÂrealŽ‘µMÏangle‘‰ffŽ‘®yŽ‘:çð«=‘Ç0Ž“±;‘ª¨ÂrealŽŽ¦‘Ïangle‘‰ffŽ‘®zŽ‘@Æ‘«=‘Ç0Ž‘Ç);ŽŽŽŒ‹º*U Šn ý‘ì«442›­CONSTR•ÃŽUCTOR’By3DLDFPR“G˜·x«1455Ž €n ý•@PÂ1455.Ž©·h–ª¨«De ne‘UUÂDoQÇdecahedronŽ‘Oj8«functions‘@­1452“·i‘Ç«+·ޤ ‘ +«ransformŽ‘9¾Q«::‘Ïalign‘‰ffŽ–®with‘‰ffŽ“axisŽ‘A²|«(‘ª®).‘R7I'm“still“not“en˜tirely“happ˜y“with“the“w˜a˜y“I'v˜e“had“toަspšGecify–UUthe“rotations,“see“the“\TO“DO"“note“of“this“date,“ab˜o•¸ãv“e.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂDoQÇdecahedronŽ‘Oj8«functions‘@­1456“·i‘Ç«+·ަ‘ +ÂDoQÇdecahedronŽ‘R¿«(ÂconstŽ‘‚P•®9oin“tŽ‘;É-«&Ž‘CK±pŽ‘H˜K;‘ª¨ÂconstŽ‘,ÁrealŽ‘57fÏp‘ÿ}'entagon‘‰ffŽ‘®diameterŽ’‡G±;‘ª¨ÂrealŽ‘µMÏangle‘‰ffŽ‘®xŽ‘;A«=‘Ç0Ž–Ç±;‘ª¨ÂrealŽ‘µMÏangle‘‰ffŽ‘®yŽ‘:çð«=‘Ç0Ž“±;‘ª¨ÂrealŽŽ¦‘Ïangle‘‰ffŽ‘®zŽ‘@Æ‘«=‘Ç0Ž‘Ç);ŽŽŽŒ‹¾'Y Šn ý‘ì«446›­CONSTR•ÃŽUCTOR’By3DLDFPR“G˜·x«1460Ž €n ý•@PÂ1460.Ž©·h–ª¨«De 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-«[¬LDF‘T2002.08.12.«]Ž‘Y;Remo•¸ãv“ed‘UUÏc‘ÿ}'enter‘‰ffŽ‘®0Ž‘+Æ1«argumen“t.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂDoQÇdecahedronŽ‘Oj8«functions‘@­1451“·i‘Ç«+·ŽŸ ‘ +ÂreturnŽ‘*‘f«;‘qÇ·gŽŸÂ1462.– üGet‘íunet.“«[¬LDF‘T2002.09.29.«]Ž‘Y¾•Changed–‹´this“function.‘.’TO‘‹DO.“I'vš¸ãe“remo˜v˜ed“Ïr‘ÿ}'otateŽ‘úò«(‘ª®)“and“no˜w“rotateŽ¡the–èpGenš¸ãtagons“in“the“x-z“plane“only“in“order“to“a˜v˜oid“ha˜ving“the“y-cošGordinates“b˜e“o “bš¸ãy“small“amoun˜ts.‘MVThisŽ¡mighš¸ãt–÷bnot“happGen“with“Ïr‘ÿ}'otateŽ‘f «(‘ª®)“once“I‘÷Jimplemen˜t“the“routine“in“Salomon“(“!!›RvGet“reference!)˜for“calculatingŽ¡sine–UUand“cosine“using“in¸ãtegers.Ž¡‘ +ÂconstŽ‘(íÓP•®9oin“tŽ‘H  «&Ž‘Pg¾Ïc‘ÿ}'enter‘‰ffŽ‘®0Ž‘y›Ê«is–…only“ev¸ãer“used“when“Ïdo‘‰ffŽ‘®halfŽ‘(…t·‘ 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+i‘UUÏget‘‰ffŽ‘®netŽ‘"Š«(ÂconstŽ‘*¢realŽ‘4ÝÐÏp‘ÿ}'entagon‘‰ffŽ‘®diameterŽ’†íˆ±;‘ª¨Âb•QÇo“olŽ‘LÏdo‘‰ffŽ‘®halfŽ‘>s¯«=‘ÇÏfalseŽ‘v\«);ŽŽŽŒ‹ÁQê Šn ý‘ì·x«1463–­3DLDFPRÃŽG’6OGET‘ÕXNET“«449Ž €n ý•@PÂ1463.Ž©·h–ª¨«De ne‘UUÂDoQÇdecahedronŽ‘Oj8«functions‘@­1457“·i‘Ç«+·ޤ ‘ Âv®9ectorŽ‘)ªI·hÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘DÔ ·Ž‘IÔ i‘UUÂDoQÇdecahedronŽ‘Mç«::‘Ïget‘‰ffŽ‘®netŽ‘ 4Ì«(ÂconstŽ‘*¢realŽ‘4ÝÐÏp‘ÿ}'entagon‘‰ffŽ‘®diameterŽ’†íˆ±;‘ª¨Âb•QÇo“olŽ‘LÏdo‘‰ffŽ‘®halfŽ‘;¬—«)Ž¡‘ ·fŽ¡‘Âin®9tŽ‘%¤ù±iŽ‘)í«;Ž¡‘Âv®9ectorŽ‘3ªJ·hÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘DÔ ·Ž‘IÔ @@ -5466,13 +5538,13 @@ 0ÁŸÿ®+‘ÿ+ŽŽ‘÷á«)Ž¡‘2ÂifŽ‘=´ý«(Ïp‘ÿ}'entsŽ‘¬«[±iŽ‘qô«]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(±jŽ‘°Ä«)±:Ïget‘‰ffŽ‘®yŽ‘t«(‘ª¨)–Ç·6«=“0Ž‘Ç)‘·fŽ¡‘<Ïc‘ÿ}'errŽ‘R?·‘‰UÝ"ERROR!È ÝInÈ ÝDodecahedŽ‘l‰ron::get_net():\n"Ž’Ï ·‘‰UÝ"y-coordinateÈ Ý!=È Ý0!\Ž‘l‰n"Ž‘{зŽ¡‘PÝ"You'dÈ ÝbetterÈ ÝfixÈ ÝthŽ’¸ÿÌis!\n\n"Ž’æM4·‘ÇÏ ushŽ‘€«;Ž¡‘2·gŽ¡‘gŽ¡‘ÂreturnŽ‘Aæ½Ïp‘ÿ}'entsŽ‘Ywi«;Ž¡‘·gŽ¡‘ÂforŽ‘%舫(±iŽ‘9 «=‘Ç6Ž‘Ç;‘ÿý±iŽ‘ 9 <‘Ç«12ŽŽ‘ Ç;‘ÿý±iŽ‘ññŸÿ®+‘ÿ+ŽŽ‘¹«)‘·fŽ¡‘Ïp‘ÿ}'entsŽ‘5¯±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘B~¸«::Ž‘I öÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“r–ÿ}'e“g‘‰ffŽ‘®p“olygonŽ’¬ƒ8«(‘ª¨));Ž¡‘·Ž‘#Ïp‘ÿ}'entsŽ‘:°«[±iŽ‘qô«]–Ç=“·Ž‘ÇÏp‘ÿ}'entsŽ‘WÅ«[±iŽ‘ªÔ·‘8à«6Ž‘8á];Ž¡‘Ïp‘ÿ}'entsŽ‘5¯«[±iŽ‘qô«]‘þŸ±~ŽŽ‘Ïr‘ÿ}'otateŽ‘o?«(0Ž‘±;‘ª¨«180ŽŽ‘ª«);Ž¡‘·gŽ¡‘ÏptsŽ‘!Ú¨«[0Ž›]–Ç=“Ïp‘ÿ}'entsŽ‘WÄ«[11ŽŽ‘ ]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(0Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[1Ž›]–Ç=“Ïp‘ÿ}'entsŽ‘WÄ«[5Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(1Ž˜);Ž¡‘ÂforŽ‘%舫(±iŽ‘9 «=‘Ç6Ž‘Ç;‘ÿý±iŽ‘ 9 <‘Ç«12ŽŽ‘ Ç;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘Ïp‘ÿ}'entsŽ‘¬«[±iŽ‘qô«]‘þŸ±~ŽŽ‘ÏshiftŽ‘~«(ÏptsŽ‘ Ú¦«[1Ž›]–8à·“ÏptsŽ‘†«[0Ž˜]);Ž¡‘ÂforŽ‘%舫(±iŽ‘9 «=‘Ç0Ž‘Ç;‘ÿý±iŽ‘ 9 <‘Ç«12ŽŽ‘ Ç;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘·fŽ¡‘ÂforŽ‘/艫(Âin®9tŽ‘¤÷±jޑӫ=‘Ç0Ž–Ç;‘ÿý±jŽ‘ wÙ<‘Ç«5Ž“;‘ÿý±jŽ‘ 0ÁŸÿ®+‘ÿ+ŽŽ‘÷á«)Ž¡‘(ÂifŽ‘3´ü«(Ïp‘ÿ}'entsŽ‘¬«[±iŽ‘qô«]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(±jŽ‘°Ä«)±:Ïget‘‰ffŽ‘®yŽ‘t«(‘ª¨)–Ç·6«=“0Ž‘Ç)‘·fŽ¡‘2Ïc‘ÿ}'errŽ‘H}q·‘ÇÆÝ"ERROR!È ÝInÈ ÝDodecahedŽ‘lÇŠron::get_net():\n"Ž’Ï•‚·‘ÇÆÝ"y-coordinateÈ Ý!=È Ý0!\Ž‘lÇŠn"Ž‘{•²·Ž¡‘FÝ"You'dÈ ÝbetterÈ ÝfixÈ ÝthŽ’®ÿËis!\n\n"Ž’ÜM3·‘ÇÏ ushŽ‘€«;Ž¡‘(·gŽ¡‘gŽ¡‘ÂreturnŽ‘7æ¼Ïp‘ÿ}'entsŽ‘Owh«;Ž¡‘ -·gŽŽŽŒ‹¾_… Šn ý‘ì«446–­DRA‘ÿ8W‘ÕXNET’-Ài3DLDFPRÃŽG“·x«1459Ž €n ý•@PÂ1459.– üDra®9w‘¾—net.“«[¬LDF‘T2002.11.10.«]Ž‘Y•ÔThis–bófunction“is“for“dra¸ãwing“the“net“of“a“ÂDoQÇdecahedronŽ‘K"«.‘ üNormally‘ÿ*ª,ޤ this–m)will“bšGe“done“in“order“to“mak¸ãe“a“cardb˜oard“mo˜del,‘³whic¸ãh“will“require“tabs“for“gluing“the“p˜en¸ãtagonsŽ¡together.‘qÇIf–UUno“tabs“are“desired,“passing“ÏfalseŽ‘Yî«as“the“Ïmake‘‰ffŽ‘®tabsŽ‘3J«argumen¸ãt“will“suppress“the“tabs.Ž¡‘ +·gŽŽŽŒ‹Â\/ Šn ý‘ì«450–­DRA‘ÿ8W‘ÕXNET’-Ài3DLDFPRÃŽG“·x«1464Ž €n ý•@PÂ1464.– üDra®9w‘¾—net.“«[¬LDF‘T2002.11.10.«]Ž‘Y•ÔThis–bófunction“is“for“dra¸ãwing“the“net“of“a“ÂDoQÇdecahedronŽ‘K"«.‘ üNormally‘ÿ*ª,ޤ this–m)will“bšGe“done“in“order“to“mak¸ãe“a“cardb˜oard“mo˜del,‘³whic¸ãh“will“require“tabs“for“gluing“the“p˜en¸ãtagonsŽ¡together.‘qÇIf–UUno“tabs“are“desired,“passing“ÏfalseŽ‘Yî«as“the“Ïmake‘‰ffŽ‘®tabsŽ‘3J«argumen¸ãt“will“suppress“the“tabs.Ž¡‘ [¬LDF‘T2002.11.10.«]Ž‘Y¬0TO‘ùDO:–ùJThe“arraš¸ãys“ÂP•®9oin“tŽ‘#ŒÜÏptsŽ‘5`Ì«and“ÂP®9athŽ‘ ƒø±pŽ‘)…B«ha˜v˜e“toGo“man˜y“mem˜bGers.‘]¥In“w˜orking“onŽ¡this–:êfunction,‘@2I‘:ãended“up“getting“rid“of“some“of“the“memš¸ãbGers“of“these“arra˜ys“after“I'd“already“used“mem˜bGersŽ¡folloš¸ãwing–UUthem.‘qÇI“should“go“through“and“reassign“the“n˜um˜bGers,“so“that“no“mem˜bšGers“are“skipp˜ed.Ž¡‘ [¬LDF‘T2002.11.10.«]Ž‘Y;TO–UUDO:“Add“the“usual“argumenš¸ãts“for“dra˜wing“and“ lling“commands.Ž¡‘ -[¬LDF‘T2002.11.10.«]Ž‘XûåTO‘HüDO:‘HÿÏp–ÿ}'ortr“aitŽ‘(|>«doGesn't–Hÿwš¸ãork“righ˜t.›mªFix“it!˜!!˜KLUDGE:“Ïp–ÿ}'ortr“aitŽ‘(|>«is“set“to“ÏfalseŽ‘AB«at“theŽ¡bGeginning–UUof“this“function“and“a“w¸ãarning“is“issued.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +[¬LDF‘T2002.11.10.«]Ž‘XûåTO‘HüDO:‘HÿÏp–ÿ}'ortr“aitŽ‘(|>«doGesn't–Hÿwš¸ãork“righ˜t.›mªFix“it!˜!!˜KLUDGE:“Ïp–ÿ}'ortr“aitŽ‘(|>«is“set“to“ÏfalseŽ‘AB«at“theŽ¡bGeginning–UUof“this“function“and“a“w¸ãarning“is“issued.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.11.10.«]Ž‘Y;Added–UUthis“function.Ž¡‘ -[¬LDF‘T2002.11.10.«]Ž‘Y;T‘ÿ*ªried–UUto“get“output“in“pšGortrait“format“to“w¸ãork,“but“it“do˜esn't“y¸ãet.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h–ª¨«Declare‘UUÂDoQÇdecahedronŽ‘Oj8«functions‘@­1451“·i‘Ç«+·ŽŸ ‘ -ÂstaticŽ‘)HÚv®9oidŽ‘BF²Ïdr‘ÿ}'aw‘‰ffŽ‘®netŽ‘iˆE«(ÂconstŽ‘*¢realŽ‘4ÝÐÏp‘ÿ}'entagon‘‰ffŽ‘®diameterŽ’†íˆ±;‘ª¨Âb•QÇo“olŽ‘LÏp–ÿ}'ortr“aitŽ‘?ýf«=‘ÇÏtrueŽ–‹°±;‘ª¨Âb•QÇo“olŽ‘LÏmake‘‰ffŽ‘®tabsŽ‘J²”«=‘ÇÏtrueŽ“«);ŽŽŽŒ‹¿sß Šn ý‘ì·x«1460–­3DLDFPRÃŽG’-ÀiDRA‘ÿ8W‘ÕXNET“«447Ž €n ý•@PÂ1460.Ž©:¤·h–ª¨«De ne‘UUÂDoQÇdecahedronŽ‘Oj8«functions‘@­1452“·i‘Ç«+·ޤ ‘ +[¬LDF‘T2002.11.10.«]Ž‘Y;T‘ÿ*ªried–UUto“get“output“in“pšGortrait“format“to“w¸ãork,“but“it“do˜esn't“y¸ãet.ޤŸüÈ„`ÕÁGŽŽ¡·h–ª¨«Declare‘UUÂDoQÇdecahedronŽ‘Oj8«functions‘@­1456“·i‘Ç«+·ŽŸ ‘ +ÂstaticŽ‘)HÚv®9oidŽ‘BF²Ïdr‘ÿ}'aw‘‰ffŽ‘®netŽ‘iˆE«(ÂconstŽ‘*¢realŽ‘4ÝÐÏp‘ÿ}'entagon‘‰ffŽ‘®diameterŽ’†íˆ±;‘ª¨Âb•QÇo“olŽ‘LÏp–ÿ}'ortr“aitŽ‘?ýf«=‘ÇÏtrueŽ–‹°±;‘ª¨Âb•QÇo“olŽ‘LÏmake‘‰ffŽ‘®tabsŽ‘J²”«=‘ÇÏtrueŽ“«);ŽŽŽŒ‹Ãp‰ Šn ý‘ì·x«1465–­3DLDFPRÃŽG’-ÀiDRA‘ÿ8W‘ÕXNET“«451Ž €n ý•@PÂ1465.Ž©:¤·h–ª¨«De ne‘UUÂDoQÇdecahedronŽ‘Oj8«functions‘@­1457“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙDoQÇdecahedronŽ‘l½k«::‘Ïdr‘ÿ}'aw‘‰ffŽ‘®netŽ‘(A—«(ÂconstŽ‘*¢realŽ‘4ÝÐÏp‘ÿ}'entagon‘‰ffŽ‘®diameterŽ’†íˆ±;‘ª¨Âb•QÇo“olŽ‘LÏp–ÿ}'ortr“aitŽ‘=6N±;‘ª¨Âb•QÇo“olŽ‘LÏmake‘‰ffŽ‘®tabsŽ‘Gë|«)Ž¡‘ ·fŽ¡‘Âv®9ectorŽ‘3ªJ·hÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘DÔ ·Ž‘IÔ i‘UU±vŽ‘ Q*«=‘ÇÏget‘‰ffŽ‘®netŽ‘!ûà«(Ïp‘ÿ}'entagon‘‰ffŽ‘®diameterŽ‘R¸«);ަ‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘DÔ ·Ž‘IÔ @@ -5485,46 +5557,46 @@ ÏiterŽ‘Ë«)±:Ïdr‘ÿ}'awŽ‘(Û«(‘ª¨);Ž¡‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ‘,=G«(–ª¨)±:Ïlab‘ÿ}'elŽ‘t˜«(±iŽ‘ñôŸÿ®+‘ÿ+ŽŽ‘¹±;“Ý""Ž‘ ± «);Ž¡‘·gŽ¡‘ÂifŽ‘´ú«(·:Ïmake‘‰ffŽ‘®tabsŽ‘,Ÿn«)‘ÂreturnŽ‘%‘e«;Ž¡‘ÂreturnŽ‘4‘g«;Ž¡‘ -·gޤÂ1461.‘ üIcosahedron.Ž¡1462.‘ üIcosahedron–ÕTclass“de nition.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦IcosahedronŽ‘_Ny­1462“·i‘Çޤ ‘ +·gޤÂ1466.‘ üIcosahedron.Ž¡1467.‘ üIcosahedron–ÕTclass“de nition.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦IcosahedronŽ‘_Ny­1467“·i‘Çޤ ‘ ÂclassŽ‘$àRIcosahedronŽ‘ev«:‘qÇÂpublicŽ‘'ñP®9olyhedronŽ‘dh·fŽ¡‘ ÂprotectedŽ‘:o™«:‘ÂstaticŽ‘$HÙconstŽ‘Bs{realŽ‘Y&©Ïdihe–ÿ}'dr“al‘‰ffŽ‘®angleŽ’–qq«;‘±=·‘ÿý«In‘UUradians!‘o·±=Ž¡‘ÂrealŽ‘*³0Ïtriangle‘‰ffŽ‘®r‘ÿ}'adiusŽ‘kA„«;ަ‘ -ÂpublicŽ‘)=Ö«:‘·h–ª¨«Declare‘UUÂIcosahedronŽ‘Cƒy«functions‘@­1465“·iŽ¡‘ -g«;ŽŸ :¤­This–ÕXcoÝÑIcosahedronŽ‘|¶¤«::‘Ïdihe–ÿ}'dr“al‘‰ffŽ‘®angleŽ‘Aä«=‘ÇÝPIŽ‘Z·‘8àÏasinŽ‘c¥«(2±:«0ŽŽ– DZ=«3±:«0ŽŽ“);ŽŸ :¤­This–ÕXcoÝÑIcosahedronŽ‘|¶¤«::‘Ïdihe–ÿ}'dr“al‘‰ffŽ‘®angleŽ‘Aä«=‘ÇÝPIŽ‘Z·‘8àÏasinŽ‘c¥«(2±:«0ŽŽ– DZ=«3±:«0ŽŽ“);ŽŸ :¤­This–ÕXcoK&«.‘o·±=Ž¡‘Ïvertic‘ÿ}'esŽ‘8±X«=‘Ç12ŽŽ‘ Ç;Ž¡‘Ïe‘ÿ}'dgesŽ‘.™1«=‘Ç30ŽŽ‘ Ç;Ž¡‘Ïc‘ÿ}'enterŽ‘2Ð¥«=‘ÇÝINVALID_POINTŽ‘GY«;‘±=·‘ÿý«from‘UUÂP®9olyhedronŽ‘=c"«.‘o·±=Ž¡‘Ïnumb›ÿ}'er‘‰ffŽ–®of‘‰ffŽ“p˜olygon‘‰ffŽ“typ˜esŽ’R9«=‘Ç1Ž‘Ç;Ž¡‘Ïfac–ÿ}'e‘‰ffŽ‘®r“adiusŽ‘G%«=‘ÇÏe–ÿ}'dge‘‰ffŽ‘®r“adiusŽ‘7j«=‘ÇÏvertex‘‰ffŽ‘®r‘ÿ}'adiusŽ‘>þ¨«=‘ÇÝINVALID_REALŽ‘BM\«;Ž¡‘Ïtriangle‘‰ffŽ‘®r‘ÿ}'adiusŽ‘WUn«=‘ÇÝINVALID_REALŽ‘BM\«;Ž¡‘ -·gޤ ­See–ÕXalso“sections“1469,“1471,“and“1473.Ž¡This–ÕXco‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2002.10.16.«]Ž‘Y;De ned–UUthis“function.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂIcosahedronŽ‘Cƒy«functions‘@­1465“·i‘Ç«+·Ž¡‘ -ÂIcosahedronŽ‘FØÐ«(ÂconstŽ‘æ)P•®9oin“tŽ‘<‘M«&Ž‘DXk±pŽ‘I`k;‘ª¨ÂconstŽ‘ÑrealŽ‘5ÿ†Ïdiameter‘‰ffŽ–®of‘‰ffŽ“triangleŽ’Ž ±;‘ª¨ÂrealŽ‘]Ïangle‘‰ffŽ‘®xŽ‘;fQ«=‘Ç0Ž–Ç±;‘ª¨ÂrealŽ‘]Ïangle‘‰ffŽ‘®yŽ‘;L«=‘Ç0Ž“±;‘ª¨ÂrealŽŽ¡‘Ïangle‘‰ffŽ‘®zŽ‘@Æ‘«=‘Ç0Ž‘Ç);ŽŽŽŒ‹Áˆ´ Šn ý‘ì·x«1469›­3DLDFPR•ÃŽG’ByCONSTR“UCTOR˜«449Ž €n ý•@PÂ1469.Ž©·h–ª¨«De ne‘UUÂIcosahedronŽ‘Cƒy«functions‘@­1466“·i‘Ç«+·ޤ ‘ +·gޤ ­See–ÕXalso“sections“1474,“1476,“and“1478.Ž¡This–ÕXco0¯«&Ž‘E÷ͱpŽ‘JÿÍ;‘ª¨ÂconstŽ‘ `‚realŽ‘7žèÏtriangle‘‰ffŽ‘®diameterŽ’„0±;‘ª¨ÂrealŽ‘éÏangle‘‰ffŽ‘®xŽ‘9nê±;‘ª¨ÂrealŽŽ¡‘2Ïangle‘‰ffŽ‘®yŽ‘Rk±;‘ª¨ÂrealŽ‘]ÖÏangle‘‰ffŽ‘®zŽ‘8]L«)Ž¡‘ ·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝIcosahedroŽ‘kÆÜn::Icosahedron().\n"Ž’Ø ·‘ÇÏ ushŽ‘€«;Ž¡‘Ïon‘‰ffŽ›®fr–ÿ}'e“e‘‰ffŽ˜stor“eŽ‘Nl «=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿý«from‘UUÂSolidŽ‘Ó,«.‘o·±=Ž¡‘Ïdo‘‰ffŽ‘®outputŽ‘A½M«=‘ÇÏtrueŽ‘‹°«;Ž¡‘Ïfac‘ÿ}'esŽ‘-ª«=‘Ç20ŽŽ‘ Ç;‘±=·‘ÿý«from‘UUÂSolidu½‰™šs4Ž‘ÔwF‘ÿ «acedŽ‘>K&«.‘o·±=Ž¡‘Ïvertic‘ÿ}'esŽ‘8±X«=‘Ç12ŽŽ‘ Ç;Ž¡‘Ïe‘ÿ}'dgesŽ‘.™1«=‘Ç30ŽŽ‘ Ç;Ž¡‘Ïnumb›ÿ}'er‘‰ffŽ–®of‘‰ffŽ“p˜olygon‘‰ffŽ“typ˜esŽ’R9«=‘Ç1Ž‘Ç;Ž¡#ÂifŽ‘ ´ø«0Ž‘$´ú±=·‘ÿý«ST–ÿ*ªAR“T–UUHERE.“TO“DO:“Must“calculate“these!‘o·±=Ž¡‘Ïfac–ÿ}'e‘‰ffŽ‘®r“adiusŽ‘G%«=‘Ç0Ž‘Ç;Ž¡‘Ïe–ÿ}'dge‘‰ffŽ‘®r“adiusŽ‘H£¬«=‘Ç0Ž‘Ç;Ž¡‘Ïvertex‘‰ffŽ‘®r‘ÿ}'adiusŽ‘P7’«=‘Ç0Ž‘Ç;Ž¡#ÂendifŽŽ¡‘Ïtriangle‘‰ffŽ‘®r‘ÿ}'adiusŽ‘WUn«=‘ÇÏtriangle‘‰ffŽ‘®diameterŽ‘OX>±=«2±:«0ŽŽ‘ Ç;ަ‘Âin®9tŽ‘%¤ù±iŽ‘)í«;ަ‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘IóR±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘B~¸«::Ž‘I öÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“r–ÿ}'e“g‘‰ffŽ‘®p“olygonŽ’¬ƒ8«(‘ª¨));Ž¡‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘IóR±:Ïfr‘ÿ}'ontŽ‘I‘«(–ª¨)‘þŸ±~ŽŽ‘ÏsetŽ‘x…«(ÏoriginŽ‘ö!±;“«3Ž‘ª©±;“Ïtriangle‘‰ffŽ‘®diameterŽ‘N;Ϋ);ަ‘ÂP•®9oin“tŽ‘2ïŸÏptsŽ‘@ÊE«[7Ž‘];ަ‘ÂforŽ‘%舫(±iŽ‘9 «=‘Ç0Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«3Ž“;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘ÏptsŽ‘Ú¦«[±iŽ›qô«]–Ç=“Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘8ºh±:Ïfr‘ÿ}'ontŽ‘I‘«(‘ª¨)‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(±iŽ˜«);Ž¡‘ÂforŽ‘%舫(±iŽ‘9 «=‘Ç1Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«6Ž“;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘·fŽ¡‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘SóS±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘B~¸«::Ž‘I öÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“r–ÿ}'e“g‘‰ffŽ‘®p“olygonŽ’¬ƒ8«(Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘5óP±:Ïfr‘ÿ}'ontŽ‘I‘«(‘ª¨)));Ž¡‘·gŽ¡‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘IóR«[1Ž–]‘þŸ±~ŽŽ‘ÏshiftŽ‘~«(ÏptsŽ‘ Ú¦«[2Ž“]–8à·“ÏptsŽ‘†«[1Ž‘]);Ž¡‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘IóR«[2Ž–]‘þŸ±~ŽŽ‘ÏshiftŽ‘~«(ÏptsŽ‘ Ú¦«[1Ž“]–8à·“ÏptsŽ‘†«[2Ž‘]);Ž¡‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘IóR«[3Ž–]‘þŸ±~ŽŽ‘ÏshiftŽ‘~«(ÏptsŽ‘ Ú¦«[0Ž“]–8à·“ÏptsŽ‘†«[2Ž‘]);Ž¡‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘IóR«[4Ž–]‘þŸ±~ŽŽ‘ÏshiftŽ‘~«(ÏptsŽ‘ Ú¦«[0Ž“]–8à·“ÏptsŽ‘†«[1Ž‘]);Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘ÏoriginŽ‘ö!±:Ïlab‘ÿ}'elŽ‘t˜«(Ý"O"Ž‘F_±;‘ª¨Ý""Ž‘ ± -«);Ž¡‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘IóR«[5Ž–]‘þŸ±~ŽŽ‘Ïr‘ÿ}'otateŽ‘o?«(0Ž“±;‘ª¨«180ŽŽ‘ª«);Ž¡‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘IóR«[5Ž–]‘þŸ±~ŽŽ‘ÏshiftŽ‘~«(ÏptsŽ‘ Ú¦«[1Ž“]–8à·“Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘8,0«[5Ž–]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(0Ž“));Ž¡‘ÂforŽ‘%舫(±iŽ‘9 «=‘Ç6Ž‘Ç;‘ÿý±iŽ‘ 9 <‘Ç«10ŽŽ‘ Ç;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘·fŽ¡‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘SóS±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘B~¸«::Ž‘I öÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“r–ÿ}'e“g‘‰ffŽ‘®p“olygonŽ’¬ƒ8«(Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘5óP«[5Ž‘]));Ž¡‘·gŽ¡‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘IóR«[6Ž–]‘þŸ±~ŽŽ‘ÏshiftŽ‘~«(ÏptsŽ‘ Ú¦«[2Ž“]–8à·“ÏptsŽ‘†«[1Ž‘]);Ž¡‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘IóR«[7Ž–]‘þŸ±~ŽŽ‘ÏshiftŽ‘~«(ÏptsŽ‘ Ú¦«[1Ž“]–8à·“ÏptsŽ‘†«[0Ž‘]);Ž¡‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘IóR«[8Ž–]‘þŸ±~ŽŽ‘ÏshiftŽ‘~«(ÏptsŽ‘ Ú¦«[2Ž“]–8à·“ÏptsŽ‘†«[0Ž‘]);Ž¡‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘IóR«[9Ž–]‘þŸ±~ŽŽ‘ÏshiftŽ‘~«(ÏptsŽ‘ Ú¦«[2Ž“]–8à·“ÏptsŽ‘†«[0Ž‘]);Ž¡‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘IóR«[9Ž–]‘þŸ±~ŽŽ‘ÏshiftŽ‘~«(ÏptsŽ‘ Ú¦«[2Ž“]–8à·“ÏptsŽ‘†«[1Ž‘]);Ž¡‘ÏptsŽ‘!Ú¨«[3Ž›]–Ç=“Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘8ºh«[2Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(1Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[4Ž›]–Ç=“Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘8ºh«[2Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(0Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[5Ž›]–Ç=“Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘8ºh«[1Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(2Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[6Ž›]–Ç=“Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘8ºh«[1Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(0Ž˜);ަ‘ÂrealŽ‘*³0ÏangleŽ‘E:›«=‘Ç180±:«0ŽŽ‘Ç·–8à«(Ïdihe–ÿ}'dr“al‘‰ffŽ‘®angleŽ‘?ƒ¨·“«180±:«0ŽŽ‘±=ÝPIŽ‘ b«);ަ‘·Ž‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘NóS«[9Ž–]‘Ç·«=ŽŽ‘UO·Ž‘UPÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘MH «[8Ž“]‘Ç·«=ŽŽ‘UOÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘HHŸ«[7Ž“]‘þŸ±~ŽŽ‘Ïr‘ÿ}'otateŽ‘o?«(ÏptsŽ‘ Ú¦«[3Ž“]±;‘ª¨ÏptsŽ‘…N«[5Ž“]±;‘ª¨·Ž‘ qÆÏangleŽ‘!2«);Ž¡‘·Ž‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘NóS«[3Ž–]‘Ç·«=ŽŽ‘UOÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘HHŸ«[4Ž“]‘þŸ±~ŽŽ‘Ïr‘ÿ}'otateŽ‘o?«(ÏptsŽ‘ 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öÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“r–ÿ}'e“g‘‰ffŽ‘®p“olygonŽ’¬ƒ8«(Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘5óP«[5Ž‘]));Ž¡‘·gŽ¡‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘IóR«[6Ž–]‘þŸ±~ŽŽ‘ÏshiftŽ‘~«(ÏptsŽ‘ Ú¦«[2Ž“]–8à·“ÏptsŽ‘†«[1Ž‘]);Ž¡‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘IóR«[7Ž–]‘þŸ±~ŽŽ‘ÏshiftŽ‘~«(ÏptsŽ‘ Ú¦«[1Ž“]–8à·“ÏptsŽ‘†«[0Ž‘]);Ž¡‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘IóR«[8Ž–]‘þŸ±~ŽŽ‘ÏshiftŽ‘~«(ÏptsŽ‘ Ú¦«[2Ž“]–8à·“ÏptsŽ‘†«[0Ž‘]);Ž¡‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘IóR«[9Ž–]‘þŸ±~ŽŽ‘ÏshiftŽ‘~«(ÏptsŽ‘ Ú¦«[2Ž“]–8à·“ÏptsŽ‘†«[0Ž‘]);Ž¡‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘IóR«[9Ž–]‘þŸ±~ŽŽ‘ÏshiftŽ‘~«(ÏptsŽ‘ Ú¦«[2Ž“]–8à·“ÏptsŽ‘†«[1Ž‘]);Ž¡‘ÏptsŽ‘!Ú¨«[3Ž›]–Ç=“Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘8ºh«[2Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(1Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[4Ž›]–Ç=“Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘8ºh«[2Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(0Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[5Ž›]–Ç=“Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘8ºh«[1Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(2Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[6Ž›]–Ç=“Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘8ºh«[1Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(0Ž˜);ަ‘ÂrealŽ‘*³0ÏangleŽ‘E:›«=‘Ç180±:«0ŽŽ‘Ç·–8à«(Ïdihe–ÿ}'dr“al‘‰ffŽ‘®angleŽ‘?ƒ¨·“«180±:«0ŽŽ‘±=ÝPIŽ‘ b«);ަ‘·Ž‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘NóS«[9Ž–]‘Ç·«=ŽŽ‘UO·Ž‘UPÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘MH «[8Ž“]‘Ç·«=ŽŽ‘UOÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘HHŸ«[7Ž“]‘þŸ±~ŽŽ‘Ïr‘ÿ}'otateŽ‘o?«(ÏptsŽ‘ Ú¦«[3Ž“]±;‘ª¨ÏptsŽ‘…N«[5Ž“]±;‘ª¨·Ž‘ qÆÏangleŽ‘!2«);Ž¡‘·Ž‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘NóS«[3Ž–]‘Ç·«=ŽŽ‘UOÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘HHŸ«[4Ž“]‘þŸ±~ŽŽ‘Ïr‘ÿ}'otateŽ‘o?«(ÏptsŽ‘ 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öÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“r–ÿ}'e“g‘‰ffŽ‘®p“olygonŽ’¬ƒ8«(‘ª¨));Ž¡‘(±=·‘ÿý«The–UUbGottom“left“triangle.‘o·±=Ž¡‘ÏtrianglesŽ‘:ƒÛ«[0Ž‘]‘þŸ±~ŽŽ‘ÏsetŽ‘x…«(ÏoriginŽ‘ö!±;‘ª¨«3Ž–ª©±;‘ª¨Ïtriangle‘‰ffŽ‘®diameterŽ‘N;α;‘ª¨«0Ž“±;‘ª¨«180ŽŽ‘ª«);ަ‘ÂP•®9oin“tŽ‘2ïŸÏptsŽ‘@ÊE«[4Ž‘];ަ‘ÏptsŽ‘!Ú¨«[0Ž›]–Ç=“ÏtrianglesŽ‘)Jñ«[0Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(0Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[1Ž›]–Ç=“ÏtrianglesŽ‘)Jñ«[0Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(1Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[2Ž›]–Ç=“ÏtrianglesŽ‘)Jñ«[0Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(2Ž˜);Ž¡‘·Ž‘ÏtrianglesŽ‘?ƒÜ«[1Ž›]–Ç=“·Ž‘ÇÏtrianglesŽ‘.Jò«[0Ž˜];Ž¡‘ÏtrianglesŽ‘:ƒÛ«[1Ž–]‘þŸ±~ŽŽ‘Ïr‘ÿ}'otateŽ‘o?«(0Ž“±;‘ª¨«180ŽŽ‘ª«);Ž¡‘ÏtrianglesŽ‘:ƒÛ«[1Ž–]‘þŸ±~ŽŽ‘ÏshiftŽ‘~«(ÏptsŽ‘ Ú¦«[2Ž“]–8à·“ÏtrianglesŽ‘(¼¹«[1Ž–]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(1Ž“));Ž¡‘ÏptsŽ‘!Ú¨«[3Ž›]–Ç=“ÏtrianglesŽ‘)Jñ«[1Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(0Ž˜);Ž¡‘·Ž‘ÏtrianglesŽ‘?ƒÜ«[2Ž›]–Ç=“·Ž‘ÇÏtrianglesŽ‘.Jò«[0Ž˜];Ž¡‘ÏtrianglesŽ‘:ƒÛ«[2Ž–]‘þŸ±~ŽŽ‘ÏshiftŽ‘~«(ÏptsŽ‘ 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-0ÁŸÿ®+‘ÿ+ŽŽ‘÷á«)Ž¡‘2ÂifŽ‘=´ý«(ÏtrianglesŽ‘&ƒÙ«[±iŽ‘qô«]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(±jŽ‘°Ä«)±:Ïget‘‰ffŽ‘®yŽ‘t«(‘ª¨)–Ç·6«=“0Ž‘Ç)‘·fŽ¡‘<Ïc‘ÿ}'errŽ‘R_É·‘ªÝ"ERROR!È ÝInÈ ÝIcosahedrŽ‘l©áon::get_net():\n"Ž’Ê3·‘ªÝ"y-coordinateÈ Ý!=È Ý0!\Ž‘l©án"Ž‘{Z`·Ž¡‘PÝ"You'dÈ ÝbetterÈ ÝfixÈ ÝthŽ’¸ÿÌis!\n\n"Ž’æM4·‘ÇÏ ushŽ‘€«;Ž¡‘2·gŽ¡‘gŽ¡‘ÂreturnŽ‘Aæ½ÏtrianglesŽ‘hj–«;Ž¡‘·g‘±=·‘ÿý«Do–UUthe“second“half.‘o·±=Ž¡‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"DoingÈ ÝtheÈ ÝsecondÈ ÝhaŽ‘kÆÜlf.\n"Ž’‹Í2«;Ž¡‘ÂforŽ‘%舫(±iŽ‘9 «=‘Ç0Ž‘Ç;‘ÿý±iŽ‘ 9 <‘Ç«10ŽŽ‘ Ç;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘ÏtrianglesŽ‘+ƒÙ±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘B~¸«::Ž‘I öÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“r–ÿ}'e“g‘‰ffŽ‘®p“olygonŽ’¬ƒ8«(‘ª¨));Ž¡‘ÂforŽ‘%舫(Âin®9tŽ‘¤÷±jޑӫ=‘Ç8Ž‘Ç;‘ÿý±jŽ– wÙ·‘Ç«16ŽŽ‘ Ç;‘ÿý±jŽ“«+=ŽŽ‘Í-4Ž‘#Í.)Ž¡‘ÂforŽ‘/艫(±iŽ‘9 «=‘Ç0Ž–Ç;‘ÿý±iŽ‘ 9 <‘Ç«4Ž“;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘·fŽ¡‘(Ž‘-ÏtrianglesŽ‘SƒÞ«[±jŽ›餫+‘8à±iŽ‘ªÔ«]–Ç=“·Ž‘ÇÏtrianglesŽ‘.Jò«[±jŽ˜·‘8à«4Ž‘ qÁ+‘8à±iŽ‘ªÔ«];Ž¡‘(ÏtrianglesŽ‘NƒÝ«[±jŽ‘餫+‘8à±iŽ‘ªÔ«]‘þŸ±~ŽŽ‘ÏshiftŽ‘~«(ÏptsŽ‘ 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«=‘Ç0Ž‘Ç;‘ÿý±iŽ‘ 9 <‘Ç«20ŽŽ‘ Ç;‘ýŸÿ®+‘ÿ+ŽŽ‘G±iŽ‘¹«)‘·fŽ¡‘ÂforŽ‘/艫(Âin®9tŽ‘¤÷±jޑӫ=‘Ç0Ž–Ç;‘ÿý±jŽ‘ wÙ<‘Ç«3Ž“;‘ÿý±jŽ‘ 0ÁŸÿ®+‘ÿ+ŽŽ‘÷á«)Ž¡‘(ÂifŽ‘3´ü«(ÏtrianglesŽ‘&ƒÙ«[±iŽ‘qô«]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(±jŽ‘°Ä«)±:Ïget‘‰ffŽ‘®yŽ‘t«(‘ª¨)–Ç·6«=“0Ž‘Ç)‘·fŽ¡‘2Ïc‘ÿ}'errŽ‘Hž8·‘èÝ"ERROR!È ÝInÈ ÝIcosahedrŽ‘lèQon::get_net():\n"Ž’Ê—·‘èÝ"y-coordinateÈ Ý!=È Ý0!\Ž‘lèQn"Ž‘{×@·Ž¡‘FÝ"You'dÈ ÝbetterÈ ÝfixÈ ÝthŽ’®ÿËis!\n\n"Ž’ÜM3·‘ÇÏ ushŽ‘€«;Ž¡‘(·gŽ¡‘gŽ¡‘ÂreturnŽ‘7æ¼ÏtrianglesŽ‘^j•«;Ž¡‘ -·gŽŸÂ1472.– üDra®9w‘ÕTnet.“«TO–UUDO:“Add“parallel“pro‘Ž8jections“on¸ãto“planes“other“than“the“x-y“plane.ŽŸÕUŸû9ŸüÈ„`ÅÜ>‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ +·gŽŸÂ1477.– üDra®9w‘ÕTnet.“«TO–UUDO:“Add“parallel“pro‘Ž8jections“on¸ãto“planes“other“than“the“x-y“plane.ŽŸÀŸû9ŸüÈ„`Ö+U‘ üŸî8ÂLogŽ‘)jœ„`Ö+UŽŽŽ¡‘ «[¬LDF‘T2002.11.10.«]Ž‘Y¾”Added– ®this“function.‘”ÑÏp–ÿ}'ortr“aitŽ‘,Š¿«w•¸ãorks,‘9Dunlik“e‘ ®ÂDoQÇdecahedronŽ‘MË@«::Ž‘TY~Ïdr‘ÿ}'aw‘‰ffŽ‘®netŽ‘{›«(‘ª¨)Ïp–ÿ}'olyhe“dŽ‘ úC±:ÏwebŽŽ¡«(as–UUof“this“date).Ž¡‘ 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+ÂstaticŽ‘)HÚv®9oidŽ‘BF²Ïdr‘ÿ}'aw‘‰ffŽ‘®netŽ‘iˆE«(ÂconstŽ‘*¢realŽ‘4ÝÐÏtriangle‘‰ffŽ‘®diameterŽ’nö±;‘ª¨Âb•QÇo“olŽ‘LÏp–ÿ}'ortr“aitŽ‘?ýf«=‘ÇÏtrueŽ–‹°±;‘ª¨Âb•QÇo“olŽ‘LÏmake‘‰ffŽ‘®tabsŽ‘J²”«=‘ÇÏtrueŽ“«);ŽŽŽŒ‹ÉІ Šn ý‘ì·x«1478–­3DLDFPRÃŽG’-ÀiDRA‘ÿ8W‘ÕXNET“«457Ž €n ý•@PÂ1478.Ž©·h–ª¨«De ne‘UUÂIcosahedronŽ‘Cƒy«functions‘@­1471“·i‘Ç«+·ޤ ‘ Âv®9oidŽ‘"ýÙIcosahedronŽ‘`Ö¬«::‘Ïdr‘ÿ}'aw‘‰ffŽ‘®netŽ‘(A—«(ÂconstŽ‘*¢realŽ‘4ÝÐÏtriangle‘‰ffŽ‘®diameterŽ’nö±;‘ª¨Âb•QÇo“olŽ‘LÏp–ÿ}'ortr“aitŽ‘=6N±;‘ª¨Âb•QÇo“olŽ‘LÏmake‘‰ffŽ‘®tabsŽ‘Gë|«)Ž¡‘ ·fŽ¡‘Âv®9ectorŽ‘3ªJ·hÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘DÔ ·Ž‘IÔ i‘UU±vŽ‘ Q*«=‘ÇÏget‘‰ffŽ‘®netŽ‘!ûà«(Ïtriangle‘‰ffŽ‘®diameterŽ‘L‘&«);Ž¡‘Âin®9tŽ‘%¤ù±iŽ‘+Þ«=‘Ç0Ž‘Ç;ަ‘ÂforŽ‘%舫(Âv®9ectorŽ‘ªH·hÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘DÔ ·Ž‘IÔ @@ -5534,69 +5606,69 @@ «);Ž¡‘(·Ž‘Ž‘ ÏiterŽ‘Ë«)±:Ïdr‘ÿ}'awŽ‘(Û«(‘ª¨);Ž¡‘·gŽ¡‘ÂreturnŽ‘4‘g«;‘±=·‘ÿý«Delete,–UUwhen“I“start“writing“coGde“for“tabs.‘qÇ[¬LDF‘T2002.08.12.«]Ž‘U$©·±=Ž¡‘ÂifŽ‘´ú«(·:Ïmake‘‰ffŽ‘®tabsŽ‘,Ÿn«)‘ÂreturnŽ‘%‘e«;ަ‘ÂP®9athŽ‘/æ»±pŽ‘4[11ŽŽ‘ ];Ž¡‘ÂP•®9oin“tŽ‘2ïŸÏptsŽ‘@ÊE«[11ŽŽ‘ -];Ž¡#ÂifŽ‘ ´ø«0ŽŽ¦‘±vŽ‘4¿«[0Ž‘]‘þŸ±~ŽŽ‘Ïdotlab‘ÿ}'elŽ‘%ÿô«(‘ª¨);Ž¡#ÂendifŽŽ¡‘ÏptsŽ‘!Ú¨«[0Ž›]–Ç=“±vŽ‘ûÕ«[0Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(0Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[1Ž›]–Ç=“±vŽ‘ûÕ«[0Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(1Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[2Ž›]–Ç=“±vŽ‘ûÕ«[0Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(2Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[3Ž›]–Ç=“Ïme‘ÿ}'diateŽ‘%„«(ÏptsŽ‘ Ú¦«[0Ž˜]±;‘ª¨ÏptsŽ‘…N«[1Ž˜]±;‘ª¨:«1ŽŽ‘ qÆ);Ž¡‘ÏptsŽ‘!Ú¨«[4Ž›]–Ç=“Ïme‘ÿ}'diateŽ‘%„«(ÏptsŽ‘ Ú¦«[1Ž˜]±;‘ª¨ÏptsŽ‘…N«[0Ž˜]±;‘ª¨:«1ŽŽ‘ qÆ);Ž¡#ÂifŽ‘ ´ø«0ŽŽ¡‘ÏptsŽ‘!Ú¨«[3Ž–]±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(2Ž“);Ž¡‘ÏptsŽ‘!Ú¨«[4Ž–]±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(3Ž“);Ž¡#ÂendifŽŽ¡‘ÏptsŽ‘!Ú¨«[5Ž›]–Ç=“Ïme‘ÿ}'diateŽ‘%„«(ÏptsŽ‘ Ú¦«[0Ž˜]±;‘ª¨ÏptsŽ‘…N«[3Ž˜]±;‘ª¨:«1ŽŽ‘ qÆ);Ž¡‘ÏptsŽ‘!Ú¨«[6Ž›]–Ç=“Ïme‘ÿ}'diateŽ‘%„«(ÏptsŽ‘ Ú¦«[1Ž˜]±;‘ª¨ÏptsŽ‘…N«[4Ž˜]±;‘ª¨:«1ŽŽ‘ 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´ø«0ŽŽ¦‘±vŽ‘4¿«[0Ž‘]‘þŸ±~ŽŽ‘Ïdotlab‘ÿ}'elŽ‘%ÿô«(‘ª¨);Ž¡#ÂendifŽŽ¡‘ÏptsŽ‘!Ú¨«[0Ž›]–Ç=“±vŽ‘ûÕ«[0Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(0Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[1Ž›]–Ç=“±vŽ‘ûÕ«[0Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(1Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[2Ž›]–Ç=“±vŽ‘ûÕ«[0Ž˜]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(2Ž˜);Ž¡‘ÏptsŽ‘!Ú¨«[3Ž›]–Ç=“ÏptsŽ‘¡¾«[0Ž˜]±:Ïme‘ÿ}'diateŽ‘"½u«(ÏptsŽ‘ Ú¦«[1Ž˜]±;‘ª¨:«1ŽŽ‘ qÆ);Ž¡‘ÏptsŽ‘!Ú¨«[4Ž›]–Ç=“ÏptsŽ‘¡¾«[1Ž˜]±:Ïme‘ÿ}'diateŽ‘"½u«(ÏptsŽ‘ Ú¦«[0Ž˜]±;‘ª¨:«1ŽŽ‘ qÆ);Ž¡#ÂifŽ‘ ´ø«0ŽŽ¡‘ÏptsŽ‘!Ú¨«[3Ž–]±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(2Ž“);Ž¡‘ÏptsŽ‘!Ú¨«[4Ž–]±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(3Ž“);Ž¡#ÂendifŽŽ¡‘ÏptsŽ‘!Ú¨«[5Ž›]–Ç=“ÏptsŽ‘¡¾«[0Ž˜]±:Ïme‘ÿ}'diateŽ‘"½u«(ÏptsŽ‘ Ú¦«[3Ž˜]±;‘ª¨:«1ŽŽ‘ qÆ);Ž¡‘ÏptsŽ‘!Ú¨«[6Ž›]–Ç=“ÏptsŽ‘¡¾«[1Ž˜]±:Ïme‘ÿ}'diateŽ‘"½u«(ÏptsŽ‘ Ú¦«[4Ž˜]±;‘ª¨:«1ŽŽ‘ qÆ);Ž¡‘ÏptsŽ‘!Ú¨«[7Ž›]–Ç=“ÏptsŽ‘¡¾«[3Ž˜];Ž¡‘ÏptsŽ‘!Ú¨«[7Ž–]±:ÏshiftŽ‘}«(0Ž“±;‘ª¨«0Ž–ª©±;‘ª¨«1Ž“);Ž¡‘ÏptsŽ‘!Ú¨«[8Ž›]–Ç=“ÏptsŽ‘¡¾«[4Ž˜];Ž¡‘ÏptsŽ‘!Ú¨«[8Ž–]±:ÏshiftŽ‘}«(0Ž“±;‘ª¨«0Ž–ª©±;‘ª¨«1Ž“);Ž¡‘ÏptsŽ‘!Ú¨«[5Ž–]±:Ïr‘ÿ}'otateŽ‘o>«(ÏptsŽ‘ Ú¦«[3Ž“]±;‘ª¨ÏptsŽ‘…N«[7Ž“]±;‘ª¨«90ŽŽ‘ ªª);Ž¡‘ÏptsŽ‘!Ú¨«[6Ž–]±:Ïr‘ÿ}'otateŽ‘o>«(ÏptsŽ‘ Ú¦«[8Ž“]±;‘ª¨ÏptsŽ‘…N«[4Ž“]±;‘ª¨«90ŽŽ‘ ªª);Ž¡#ÂifŽ‘ ´ø«0ŽŽ¡‘ÏptsŽ‘!Ú¨«[5Ž–]±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(4Ž“);Ž¡‘ÏptsŽ‘!Ú¨«[6Ž–]±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(5Ž“);Ž¡#ÂendifŽŽ¡‘ÏptsŽ‘!Ú¨«[9Ž›]–Ç=“ÏptsŽ‘¡¾«[5Ž˜]±:Ïme‘ÿ}'diateŽ‘"½u«(ÏptsŽ‘ Ú¦«[6Ž˜]±;‘ª¨:«1ŽŽ‘ qÆ);Ž¡‘ÏptsŽ‘!Ú¨«[10ŽŽ‘ +]–Ç=“ÏptsŽ‘¡¾«[6Ž–]±:Ïme‘ÿ}'diateŽ‘"½u«(ÏptsŽ‘ Ú¦«[5Ž“]±;‘ª¨:«1ŽŽ‘ qÆ);Ž¡#ÂifŽ‘ ´ø«0ŽŽ¡‘ÏptsŽ‘!Ú¨«[9Ž–]±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(8Ž“);Ž¡‘ÏptsŽ‘!Ú¨«[10ŽŽ‘ ]±:Ïdotlab‘ÿ}'elŽ‘!ÿó«(9Ž‘);Ž¡#ÂendifŽŽ¡‘±pŽ‘«[0Ž–]±:ÏsetŽ‘ x„«(Ý"--"Ž‘†\±;‘ª¨ÏtrueŽ‘o@±;‘ª¨«&Ž‘ qÆÏptsŽ›Ll«[3Ž“]±;‘ª¨«&Ž‘ qÆÏptsŽ˜«[9Ž“]±;‘ª¨«&Ž‘ qÆÏptsŽ˜«[10ŽŽ‘ ]±;‘ª¨«&Ž‘ qÆÏptsŽ˜«[4Ž“]±;‘ª¨«0Ž‘ª©);Ž¡‘±pŽ‘«[1Ž›]–Ç=“±pŽ‘Ï«[2Ž˜]“=“±pŽ‘Ï«[3Ž˜]“=“±pŽ‘Ï«[4Ž˜]“=“±pŽ‘Ï«[5Ž˜]“=“±pŽ‘Ï«[0Ž˜];Ž¡‘±pŽ‘«[1Ž–]±:ÏshiftŽ‘}«(±vŽ‘4½«[4Ž“]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(1Ž“)–8à·“ÏptsŽ‘†«[1Ž‘]);Ž¡‘±pŽ‘«[2Ž–]±:ÏshiftŽ‘}«(±vŽ‘4½«[8Ž“]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(1Ž“)–8à·“ÏptsŽ‘†«[1Ž‘]);Ž¡‘±pŽ‘«[3Ž–]±:ÏshiftŽ‘}«(±vŽ‘4½«[12ŽŽ‘ ]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(1Ž“)–8à·“ÏptsŽ‘†«[1Ž‘]);Ž¡‘±pŽ‘«[4Ž–]±:ÏshiftŽ‘}«(±vŽ‘4½«[16ŽŽ‘ -]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(1Ž“)–8à·“ÏptsŽ‘†«[1Ž‘]);ŽŽŽŒ‹ÆÜ¡ Šn ý‘ì«454–­DRA‘ÿ8W‘ÕXNET’-Ài3DLDFPRÃŽG“·x«1473Ž €n ý•@P‘±pŽ‘«[5Ž–]±:ÏshiftŽ‘}«(±vŽ‘4½«[18ŽŽ‘ +]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(1Ž“)–8à·“ÏptsŽ‘†«[1Ž‘]);ŽŽŽŒ‹ÊØž Šn ý‘ì«458–­DRA‘ÿ8W‘ÕXNET’-Ài3DLDFPRÃŽG“·x«1478Ž €n ý•@P‘±pŽ‘«[5Ž–]±:ÏshiftŽ‘}«(±vŽ‘4½«[18ŽŽ‘ ]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(1Ž“)–8à·“ÏptsŽ‘†«[1Ž‘]);ޤ ‘±pŽ‘«[6Ž›]–Ç=“±pŽ‘Ï«[0Ž˜];Ž¡‘±pŽ‘«[6Ž–]±:Ïr‘ÿ}'otateŽ‘o>«(0Ž“±;‘ª¨«0Ž‘ª©±;‘ª¨«240ŽŽ‘ª«);Ž¡‘±pŽ‘«[6Ž–]±:Ïr‘ÿ}'otateŽ‘o>«(ÏptsŽ‘ Ú¦«[0Ž“]±;‘ª¨ÏptsŽ‘…N«[2Ž“]);Ž¡#ÂifŽ‘ ´ø«0ŽŽ¡‘±vŽ‘4¿«[3Ž‘]‘þŸ±~ŽŽ‘Ïdotlab‘ÿ}'elŽ‘%ÿô«(‘ª¨);Ž¡#ÂendifŽŽ¡‘±pŽ‘«[7Ž›]–Ç=“±pŽ‘Ï«[8Ž˜]“=“±pŽ‘Ï«[9Ž˜]“=“±pŽ›Ï«[10ŽŽ‘ ]“=“±pŽ˜«[6Ž‘];Ž¡‘±pŽ‘«[6Ž–]±:ÏshiftŽ‘}«(±vŽ‘4½«[3Ž“]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(0Ž“)–8à·“ÏptsŽ‘†«[2Ž‘]);Ž¡‘±pŽ‘«[7Ž–]±:ÏshiftŽ‘}«(±vŽ‘4½«[7Ž“]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(0Ž“)–8à·“ÏptsŽ‘†«[2Ž‘]);Ž¡‘±pŽ‘«[8Ž–]±:ÏshiftŽ‘}«(±vŽ‘4½«[11ŽŽ‘ ]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(0Ž“)–8à·“ÏptsŽ‘†«[2Ž‘]);Ž¡‘±pŽ‘«[9Ž–]±:ÏshiftŽ‘}«(±vŽ‘4½«[15ŽŽ‘ ]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(0Ž“)–8à·“ÏptsŽ‘†«[2Ž‘]);Ž¡‘±pŽ‘«[10ŽŽ– ]±:ÏshiftŽ‘}«(±vŽ‘4½«[19ŽŽ“]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(0Ž›)–8à·“ÏptsŽ‘†«[2Ž˜]);Ž¡‘ÂforŽ‘%舫(±iŽ‘9 «=‘Ç0Ž‘Ç;‘ÿý±iŽ‘ 9 <‘Ç«11ŽŽ‘ Ç;‘ÿý±iŽ‘ññŸÿ®+‘ÿ+ŽŽ‘¹«)‘±pŽ‘ «[±iŽ‘qô«]±:Ïdr‘ÿ}'awŽ‘(Û«(‘ª¨);Ž¡‘ÂreturnŽ‘4‘g«;Ž¡‘ -·gޤÂ1474.‘ üSemi-Regular–ÕTArcš®9himedean“P˜olyhedra.Ž¡1475.‘ üT‘ÿ -«runcated‘ÕTOctahedron.Ž¡1476.‘ üT‘ÿ +·gޤÂ1479.‘ üSemi-Regular–ÕTArcš®9himedean“P˜olyhedra.Ž¡1480.‘ üT‘ÿ +«runcated‘ÕTOctahedron.Ž¡1481.‘ üT‘ÿ «runc‘°¡‰ffs4Ž‘#ÕOctahedron–ÕTclass“de nition.Ž©·h–ª¨«De ne‘UUÂclassŽ‘5¦T‘ÿ -«runcu½‰™šs4Ž‘ÔwOctahedronŽ’€DT­1476“·i‘Çޤ ‘ +«runcu½‰™šs4Ž‘ÔwOctahedronŽ’€DT­1481“·i‘Çޤ ‘ ÂclassŽ‘$àRT‘ÿ «runcu½‰™šs4Ž‘ÔwOctahedronŽ’†Q«:‘qÇÂpublicŽ‘'ñP®9olyhedronŽ‘dh·fŽ¡‘ ÂprotectedŽ‘:o™«:‘ÂstaticŽ‘$HÙconstŽ‘Bs{realŽ‘Y&©Ïangle‘‰ffŽ–®hex‘‰ffŽ“squar‘ÿ}'eŽ’¢Œ«;‘±=·‘ÿý«In‘UUradians!‘o·±=Ž¡‘ÂstaticŽ‘3HÛconstŽ‘Qs}realŽ‘h&«Ïangle‘‰ffŽ–®hex‘‰ffŽ“hexŽ’¤j5«;‘±=·‘ÿý«In‘UUradians!‘o·±=Ž¡‘ÂrealŽ‘*³0Ïhexagon‘‰ffŽ‘®r‘ÿ}'adiusŽ‘lô¹«;ަ‘ ÂpublicŽ‘)=Ö«:‘·h–ª¨«Declare‘UUÂT‘ÿ -«runcu½‰™šs4Ž‘ÔwOctahedronŽ‘dyT«functions‘@­1479“·iŽ¡‘ -g«;ŽŸ ­This–ÕXcoÝÑT‘ÿ «runcu½‰™šs4Ž‘ÔwOctahedronŽ’¬«::‘Ïangle‘‰ffŽ–®hex‘‰ffŽ“squar‘ÿ}'eŽ‘Lµÿ«=‘Ç(125ŽŽ‘8ã+›8à(16±:«0ŽŽ–Ç ±=«60±:«0ŽŽ“))˜·˜«(ÝPIŽ‘ b±=«180±:«0ŽŽ‘Ç!);Ž¡‘ ÂconstŽ‘(*£realŽ‘>ÝÑT‘ÿ «runcu½‰™šs4Ž‘ÔwOctahedronŽ’¬«::‘Ïangle‘‰ffŽ–®hex‘‰ffŽ“hexŽ‘@ -¦«=‘Ç(109ŽŽ‘8ã+›8à(28±:«0ŽŽ–Ç ±=«60±:«0ŽŽ“))˜·˜«(ÝPIŽ‘ b±=«180±:«0ŽŽ‘Ç!);ŽŸ ­This–ÕXco‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¡‘ -«[¬LDF‘T2003.04.15.«]Ž‘Y§úCommenš¸ãted-out–õthe“constructors“and“Ïget‘‰ffŽ‘®netŽ‘#)Ü«(‘ª®).‘QThey“made“use“of“the“fact,‘whic˜h“isŽ¡no– òlonger“true,‘Ÿthat“ÂRectangleŽ‘8Wy«wš¸ãas“formerly“deriv˜ed“from“ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘DЦ«.‘YQNo˜w“that“ÂRectangleŽ‘8Wy«is“deriv˜edŽ¡from‘UUÂP®9athŽ‘湫,–UUsome“of“the“cošGde“in“these“functions“do˜esn't“w¸ãork.‘qÇTO“DO:“Fix“these“functions!ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽŸ1479.– üDefault‘ÕTconstructor.“«(No‘UUargumen¸ãts.)ަ·h–ª¨«Declare‘UUÂT‘ÿ -«runcu½‰™šs4Ž‘ÔwOctahedronŽ‘dyT«functions‘@­1479“·i‘ÇŽ¡‘ +¦«=‘Ç(109ŽŽ‘8ã+›8à(28±:«0ŽŽ–Ç ±=«60±:«0ŽŽ“))˜·˜«(ÝPIŽ‘ b±=«180±:«0ŽŽ‘Ç!);ŽŸ ­This–ÕXcoi|«.‘ÌÈ[¬LDF‘T2002.10.29.«]Ž‘SóXT‘ÿ*ªruncated–s«oGctahedrons“consist“of“6“squaresŽ¡‘(and–UU8“hexagons.‘o·±=Ž¡‘Ïvertic‘ÿ}'esŽ‘8±X«=‘Ç24ŽŽ‘ Ç;Ž¡‘Ïe‘ÿ}'dgesŽ‘.™1«=‘Ç36ŽŽ‘ Ç;Ž¡‘Ïc‘ÿ}'enterŽ‘2Ð¥«=‘ÇÝINVALID_POINTŽ‘GY«;‘±=·‘ÿý«from‘UUÂP®9olyhedronŽ‘=c"«.‘o·±=Ž¡‘Ïnumb›ÿ}'er‘‰ffŽ–®of‘‰ffŽ“p˜olygon‘‰ffŽ“typ˜esŽ’R9«=‘Ç2Ž‘Ç;Ž¡‘Ïfac–ÿ}'e‘‰ffŽ‘®r“adiusŽ‘G%«=‘ÇÏe–ÿ}'dge‘‰ffŽ‘®r“adiusŽ‘7j«=‘ÇÏvertex‘‰ffŽ‘®r‘ÿ}'adiusŽ‘>þ¨«=‘ÇÝINVALID_REALŽ‘BM\«;Ž¡‘Ïhexagon‘‰ffŽ‘®r‘ÿ}'adiusŽ‘Y£«=‘ÇÝINVALID_REALŽ‘BM\«;Ž¡‘ -·gޤ ­See–ÕXalso“sections“1483,“1485,“and“1486.Ž¡This–ÕXco‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¤ ‘ -«[¬LDF‘T2002.11.08.«]Ž‘Y;Added–UUthis“function.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h–ª¨«Declare‘UUÂT‘ÿ -«runcu½‰™šs4Ž‘ÔwOctahedronŽ‘dyT«functions‘@­1479“·i‘Ç«+·Ž¡«#ÂifŽ‘ ´ø«0ŽŽ¡‘ +·gޤ ­See–ÕXalso“sections“1488,“1490,“and“1491.Ž¡This–ÕXco@«&Ž‘F%±pŽ‘K%;‘ª¨ÂconstŽ‘ h.realŽ‘7®@Ïdiameter‘‰ffŽ–®of‘‰ffŽ“hexagonŽ’‘±;‘ª¨ÂrealŽ‘ðºÏangle‘‰ffŽ‘®xŽ‘=2~«=‘»è0Ž‘»é±;‘ª¨ÂrealŽŽ¡‘Ïangle‘‰ffŽ‘®yŽ‘A2¦«=‘Ç0Ž–Ç±;‘ª¨ÂrealŽ‘]ÖÏangle‘‰ffŽ‘®zŽ‘;$d«=‘Ç0Ž“);Ž¡#ÂendifŽŽŽŽŒ‹Èþ] Šn ý‘ì«456›­CONSTR•ÃŽUCTOR’By3DLDFPR“G˜·x«1483Ž €n ý•@PÂ1483.Ž©·h–ª¨«De ne‘UUÂT‘ÿ -«runcu½‰™šs4Ž‘ÔwOctahedronŽ‘dyT«functions‘@­1480“·i‘Ç«+·ޤ «#ÂifŽ‘ ´ø«0ŽŽ¡‘ +«runcu½‰™šs4Ž‘ÔwOctahedronŽ‘gΫ«(ÂconstŽ‘½†P•®9oin“tŽ‘>@«&Ž‘F%±pŽ‘K%;‘ª¨ÂconstŽ‘ h.realŽ‘7®@Ïdiameter‘‰ffŽ–®of‘‰ffŽ“hexagonŽ’‘±;‘ª¨ÂrealŽ‘ðºÏangle‘‰ffŽ‘®xŽ‘=2~«=‘»è0Ž‘»é±;‘ª¨ÂrealŽŽ¡‘Ïangle‘‰ffŽ‘®yŽ‘A2¦«=‘Ç0Ž–Ç±;‘ª¨ÂrealŽ‘]ÖÏangle‘‰ffŽ‘®zŽ‘;$d«=‘Ç0Ž“);Ž¡#ÂendifŽŽŽŽŒ‹Ìú Šn ý‘ì«460›­CONSTR•ÃŽUCTOR’By3DLDFPR“G˜·x«1488Ž €n ý•@PÂ1488.Ž©·h–ª¨«De ne‘UUÂT‘ÿ +«runcu½‰™šs4Ž‘ÔwOctahedronŽ‘dyT«functions‘@­1485“·i‘Ç«+·ޤ «#ÂifŽ‘ ´ø«0ŽŽ¡‘ ÂT‘ÿ «runcu½‰™šs4Ž‘ÔwOctahedronŽ‘hί«::‘ÂT‘ÿ «runcu½‰™šs4Ž‘ÔwOctahedronŽ‘^ή«(ÂconstŽ‘˜7P•®9oin“tŽ‘=õi«&Ž‘E¼‡±pŽ‘Jć;‘ª¨ÂconstŽ‘ BßrealŽ‘7c¢Ïhexagon‘‰ffŽ‘®diameterŽ’…§ý±;‘ª¨ÂrealŽŽ¡‘2Ïangle‘‰ffŽ‘®xŽ‘R…á±;‘ª¨ÂrealŽ‘]ÖÏangle‘‰ffŽ‘®yŽ‘8Éa±;‘ª¨ÂrealŽ‘]ÖÏangle‘‰ffŽ‘®zŽ‘8]L«)Ž¡‘ ·fŽ¡‘Âb•QÇo“olŽ‘-¡hÝDEBUGŽ‘K.Ù«=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿýÏtrueޑĒ·±=ަ‘ÂifŽ‘´ú«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"EnteringÈ ÝTrunc_OctaŽ‘kÆÜhedron::Trunc_OctaheŽ’ÔÆ dron().\n"Ž’ ”·‘ÇÏ ushŽ‘€«;Ž¡‘Ïc‘ÿ}'enterŽ‘2Ð¥«=‘DZpŽ‘Ï«;Ž¡‘Ïon‘‰ffŽ›®fr–ÿ}'e“e‘‰ffŽ˜stor“eŽ‘Nl «=‘ÇÏfalseŽ‘v\«;‘±=·‘ÿý«from‘UUÂSolidŽ‘Ó,«.‘o·±=Ž¡‘Ïdo‘‰ffŽ‘®outputŽ‘A½M«=‘ÇÏtrueŽ‘‹°«;‘±=·‘ÿý«ST–ÿ*ªAR“T–UUHERE.“TO“DO:“Must“calculate“these!‘o·±=Ž¡‘Ïfac–ÿ}'e‘‰ffŽ‘®r“adiusŽ‘G%«=‘Ç0Ž‘Ç;Ž¡‘Ïe–ÿ}'dge‘‰ffŽ‘®r“adiusŽ‘H£¬«=‘Ç0Ž‘Ç;Ž¡‘Ïvertex‘‰ffŽ‘®r‘ÿ}'adiusŽ‘P7’«=‘Ç0Ž‘Ç;Ž¡‘Ïfac‘ÿ}'esŽ‘-C9«=‘ù§14ŽŽ‘ ù©;‘±=·‘S«from‘s«ÂSolidu½‰™šs4Ž‘ÔwF‘ÿ «acedŽ‘>i|«.‘ÌÈ[¬LDF‘T2002.10.29.«]Ž‘SóXT‘ÿ*ªruncated–s«oGctahedrons“consist“of“6“squaresŽ¡‘(and–UU8“hexagons.‘o·±=Ž¡‘Ïvertic‘ÿ}'esŽ‘8±X«=‘Ç24ŽŽ‘ Ç;Ž¡‘Ïe‘ÿ}'dgesŽ‘.™1«=‘Ç36ŽŽ‘ Ç;Ž¡‘Ïnumb›ÿ}'er‘‰ffŽ–®of‘‰ffŽ“p˜olygon‘‰ffŽ“typ˜esŽ’R9«=‘Ç2Ž‘Ç;Ž¡‘Ïhexagon‘‰ffŽ‘®r‘ÿ}'adiusŽ‘Y£«=‘ÇÏhexagon‘‰ffŽ‘®diameterŽ‘Q s±=«2±:«0ŽŽ‘ Ç;Ž¡‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘Lºj«=‘ÇÏget‘‰ffŽ‘®netŽ‘!ûà«(Ïhexagon‘‰ffŽ‘®diameterŽ‘ND[±;‘ª¨ÏtrueŽ‘o@«);ަ‘ÂP•®9oin“tŽ‘2ïŸÏptsŽ‘@ÊE«[24ŽŽ‘ ];Ž¡‘Âin®9tŽ‘%¤ù±iŽ‘)í«;ަ‘ÂforŽ‘%舫(±iŽ‘9 «=‘Ç0Ž–Ç;‘ÿý±iŽ‘ 9 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«);ަ‘ÂrealŽ‘*³0Ïangle‘‰ffŽ–®h‘‰ffŽ“sŽ‘UÛ·«=‘Ç180±:«0ŽŽ‘Ç·–8à«(Ïangle‘‰ffŽ–®hex‘‰ffŽ“squar‘ÿ}'eŽ‘K'÷“«180±:«0ŽŽ‘±=ÝPIŽ‘ b«);ަ‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘IóR«[4Ž–]‘þŸ±~ŽŽ‘Ïr‘ÿ}'otateŽ‘o?«(ÏptsŽ‘ Ú¦«[0Ž“]±;‘ª¨ÏptsŽ‘…N«[5Ž“]±;‘ª¨Ïangle‘‰ffŽ–®h‘‰ffŽ“sŽ‘* «);Ž¡‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘IóR«[5Ž–]‘þŸ±~ŽŽ‘Ïr‘ÿ}'otateŽ‘o?«(ÏptsŽ‘ Ú¦«[1Ž“]±;‘ª¨ÏptsŽ‘…N«[2Ž“]±;‘ª¨Ïangle‘‰ffŽ–®h‘‰ffŽ“sŽ‘* «);Ž¡‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘IóR«[6Ž–]‘þŸ±~ŽŽ‘Ïr‘ÿ}'otateŽ‘o?«(ÏptsŽ‘ Ú¦«[3Ž“]±;‘ª¨ÏptsŽ‘…N«[4Ž“]±;‘ª¨Ïangle‘‰ffŽ–®h‘‰ffŽ“sŽ‘* «);Ž¡‘±=·‘ÿý«[¬LDF‘T2002.11.07.«]Ž‘T7Do–UUsomething“abGout“these“commen¸ãts!‘o·±=‘=·–ÿý«7“·±=Ž¡‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘IóR±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘B~¸«::Ž‘I öÏcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“r–ÿ}'e“g‘‰ffŽ‘®p“olygonŽ’¬ƒ8«(Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘5óP«[0Ž‘]));‘±=·–ÿý«8“·±=Ž¡‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘IóR±:Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ‘+XR«(ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘B~¸«::Ž‘I 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`‰«)‘ÂreturnŽ‘(æºÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘^Ú -«;Ž¡#ÂendifŽŽŽŽŒ‹Ë)Ù Šn ý‘ì·x«1486–­3DLDFPRÃŽG’6OGET‘ÕXNET“«459Ž €n ý•@PÂ1486.‘ ü«[¬LDF‘T2002.11.08.«]Ž‘[ÇÓIf–”òwš¸ãe“just“w˜an˜t“the“net,‘äÙÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘:Ø)«[5Ž›]“and“Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘:ˆB«[6Ž˜]“mš¸ãust“bGe“c˜hanged,ޤ bGecause–âQI'vš¸ãe“made“the“net“a“bit“di eren˜tly“from“the“w˜a˜y“it's“done“in“Cundy‘ÿ*ª.›¼Get“reference!!˜P¸ãage“104.˜IŽ¡made›UUt•¸ãw“o˜of˜the˜squares˜slan“ted,˜in˜order˜to˜a“v“oid˜ha“ving˜to˜rotate˜them˜t“wice.Ž©·h–ª¨«De ne‘UUÂT‘ÿ -«runcu½‰™šs4Ž‘ÔwOctahedronŽ‘dyT«functions‘@­1480“·i‘Ç«+·Ž¡«#ÂifŽ‘ ´ø«0ŽŽ¡‘ +«;Ž¡#ÂendifŽŽŽŽŒ‹Ï%> Šn ý‘ì·x«1491–­3DLDFPRÃŽG’6OGET‘ÕXNET“«463Ž €n ý•@PÂ1491.‘ ü«[¬LDF‘T2002.11.08.«]Ž‘[ÇÓIf–”òwš¸ãe“just“w˜an˜t“the“net,‘äÙÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘:Ø)«[5Ž›]“and“Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘:ˆB«[6Ž˜]“mš¸ãust“bGe“c˜hanged,ޤ bGecause–âQI'vš¸ãe“made“the“net“a“bit“di eren˜tly“from“the“w˜a˜y“it's“done“in“Cundy‘ÿ*ª.›¼Get“reference!!˜P¸ãage“104.˜IŽ¡made›UUt•¸ãw“o˜of˜the˜squares˜slan“ted,˜in˜order˜to˜a“v“oid˜ha“ving˜to˜rotate˜them˜t“wice.Ž©·h–ª¨«De ne‘UUÂT‘ÿ +«runcu½‰™šs4Ž‘ÔwOctahedronŽ‘dyT«functions‘@­1485“·i‘Ç«+·Ž¡«#ÂifŽ‘ ´ø«0ŽŽ¡‘ ·Ž‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘DóR«[6Ž›]–Ç=“·Ž‘ÇÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘=ºi«[5Ž˜]“=“·Ž‘ÇÏr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘=ºi«[4Ž˜];Ž¡‘ ÏptsŽ‘Ú§«[14ŽŽ‘ ]–Ç=“Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘8ºh«[4Ž–]‘þŸ±~ŽŽ‘Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘+bI«(2Ž“);Ž¡‘ @@ -5639,47 +5711,49 @@ ·«=ŽŽ‘O3·Ž‘ O4Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ˜«[12ŽŽ“]‘D ·«=ŽŽŽ¡‘Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘SóS«[13ŽŽ‘ ]‘þŸ±~ŽŽ‘ÏshiftŽ‘~«(ÏptsŽ‘ Ú¦«[4Ž›]–8à+“ÏptsŽ‘†«[3Ž˜]“·“ÏptsŽ‘†«[2Ž˜]“·“ÏptsŽ‘†«[1Ž˜]);Ž¡‘ -ÂreturnŽ‘-æ»Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘cÚ «;‘qÇ·gŽ¡«#ÂendifŽŽ¤1487.‘ üPutting–ÕTpQÇolyhedra“together.Ž¡1488.‘ ü«This–UUis“what's“compiled.ަ‘ +ÂreturnŽ‘-æ»Ïr–ÿ}'e“g‘‰ffŽ‘®p“olygonsŽ‘cÚ «;‘qÇ·gŽ¡«#ÂendifŽŽ¤1492.‘ üPutting–ÕTpQÇolyhedra“together.Ž¡1493.‘ ü«This–UUis“what's“compiled.ަ‘ 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-[¬LDF‘T2003.12.01.«]Ž‘Y$Put–R>the“vš¸ãersion“con˜trol“iden˜ti ers“bac˜k“in˜to“the“release“v˜ersions,‘RÜbGecause“I'v˜e“put“themŽ¡in–UUtheir“oš¸ãwn“R˜CS“repGository‘ÿ*ª.ަŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¦·h‘ª¨«V‘ÿ*ªersion–UUconš¸ãtrol“iden˜ti er‘@­10‘ª¨·i‘Ç«+·Ž¡‘ -ÂstaticŽ‘)HÚstringŽ‘Jn'Ïr‘ÿ}'cs‘‰ffŽ‘®idŽ‘g(«=‘ÇÝ"$Id:È Ýmain.web,vÈ Ý1.6Ž‘kÆÜÈ Ý2003/12/01È Ý19:39:22Ž’ÔÆ È Ýlfinsto1È ÝExpÈ Ý$"Ž’)LØ«;ŽŸÂ1498.‘ üInclude‘ÕT les.ަ·h–ª¨«Include‘UU 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Ý"Ž‘5T}·‘ÇÏlong‘‰ffŽ‘®optionsŽ‘9«[Ïoption‘‰ffŽ‘®indexŽ‘7Ç@«]±:ÏnameŽ‘Æ«;Ž¡‘2ÂifŽ‘=´ý«(Ïoptar‘ÿ}'gŽ‘[U«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"È ÝwithÈ ÝargÈ Ý"Ž‘Et·‘ÇÏoptar‘ÿ}'gŽ‘"m«;Ž¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÏend‘‚ØlŽ‘¸Ú«;Ž¡‘(·gŽ¡‘(ÂifŽ‘3´ü«(Ïoption‘‰ffŽ‘®indexŽ‘:ŽX·‘ÇÝHELP_INDEXŽ‘7Íb«)‘·fŽ¡‘2Ïc‘ÿ}'outŽ‘Iµý·‘\ÁÝ"3DLDFÈ ÝVersionÈ Ý"Ž‘]?º·‘\ÁÝVERSION_3DLDFŽ‘M÷‘\ÁÝ".È Ý"Ž‘?Þ·‘\ÁÝCOPYRIGHT_3DLDFŽ‘Wÿ½·Ž¡‘FÏend‘‚ØlŽ‘`“·‘¡RÝ"ValidÈ ÝoptionsÈ ÝforÈ Ý3Ž‘o¡DLDFÈ Ýare:"Ž’«H²·‘¡RÏend‘‚ØlŽ‘!4f·Ž¡‘FÝ"--help:È ÝPrintsŽ’®ÿËÈ ÝthisÈ ÝmessageÈ ÝandÈ ÝexŽ’ÿitsÈ Ý"Ž’6@·‘AXÝ"withÈ ÝreturnÈ ÝvalueÈ Ý0Ž‘lA."Ž‘zˆÖ·Ž¡‘FÏend‘‚ØlŽ‘]>×·‘MÏend‘‚ØlŽ‘‹Þ·‘MÝ"--silent:È ÝSuppreŽ‘lLÒssesÈ ÝsomeÈ ÝoutputÈ ÝtoÈ Ž’ÕL–ÝstandardÈ Ýoutput"Ž’-Ü·Ž¡‘FÏend‘‚ØlŽ‘]Áõ·‘Ð,Ý"È ÝandÈ ÝstŽ‘lÏðandardÈ ÝerrorÈ ÝwhenÈ Ý3dŽ’ÕÏ´ldfÈ ÝisÈ Ýrun."Ž’&$·‘Ð,Ïend‘‚ØlŽ‘’·Ž¡‘FÏend‘‚ØlŽ‘^Q0·‘_gÝ"--verbose:È ÝCausesŽ‘m_+È ÝstatusÈ ÝinformationÈ Ž’Ö^ïÝtoÈ ÝbeÈ ÝprintedÈ Ý"Ž’*‘·Ž¡‘FÝ"toÈ ÝstandardÈ Ýoutput"Ž’³®Ø·‘(¥Ïend‘‚ØlŽ‘C ·‘(¥Ý"È ÝwhenÈ Ý3Ž‘m(idldfÈ ÝisÈ Ýrun."Ž’¶O·Ž¡‘FÏend‘‚ØlŽ‘]@ ·‘NDÏend‘‚ØlŽ–ŽJ·‘NDÝ"--version:È ÝPrintsŽ‘lNÈ ÝtheÈ ÝversionÈ ÝnumberÈ Ž’ÕMÌÝofÈ Ý3DLDF"Ž’b]·‘NDÏend‘‚ØlŽ“·Ž¡‘FÝ"È ÝtoÈ ÝstaŽ’®ÿËndardÈ ÝoutputÈ ÝandÈ Ý"Ž’iË·‘cÎÝ"exitsÈ ÝwithÈ ÝreturnÈ ÝvŽ‘lc’alueÈ Ý0."Ž’šM°·Ž¡‘FÏend‘‚ØlŽ‘\¸á·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2ÂifŽ‘=´ý«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝwithÈ ÝreturnŽ‘kÆÜÈ ÝvalueÈ Ý0."Ž’£”>·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2ÏexitŽ‘Cf«(0Ž‘);Ž¡‘(·gŽ¡‘(ÂelseŽ‘>.8ifŽ‘Iã0«(Ïoption‘‰ffŽ‘®indexŽ‘:ŽX·‘ÇÝSILENT_INDEXŽ‘BM\«)‘·fŽ¡‘2ÂifŽ‘=´ý«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"SettingÈ ÝSILENT_GLOBŽ‘kÆÜALÈ ÝtoÈ Ýtrue."Ž’®8·‘ÇÏend‘‚ØlŽ‘¸Ú«;ŽŽŽŒ‹ÖwÚ Šn ý‘ì«470‘­PRšÃŽOCESS–ÕXCOMMAND“LINE“OPTIONS’Â$G3DLDFPR˜G‘·x«1508Ž €n ý•@P‘2ÝSILENT_GLOBALŽ‘y^«=‘ÇÏtrueŽ‘‹°«;ޤ ‘(·gŽ¡‘(ÂelseŽ‘>.8ifŽ‘Iã0«(Ïoption‘‰ffŽ‘®indexŽ‘:ŽX·‘ÇÝVERBOSE_INDEXŽ‘GY«)‘·fŽ¡‘2ÂifŽ‘=´ý«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"SettingÈ ÝVERBOSE_GLOŽ‘kÆÜBALÈ ÝtoÈ Ýtrue."Ž’³T5·‘ÇÏend‘‚ØlŽ‘¸Ú«;Ž¡‘2ÝVERBOSE_GLOBALŽ‘~Í[«=‘ÇÏtrueŽ‘‹°«;Ž¡‘(·gŽ¡‘(ÂelseŽ‘>.8ifŽ‘Iã0«(Ïoption‘‰ffŽ‘®indexŽ‘:ŽX·‘ÇÝVERSION_INDEXŽ‘GY«)‘·fŽ¡‘2Ïc‘ÿ}'outŽ‘H T·‘ÇÝ"3DLDFÈ ÝVersionÈ Ý"Ž‘Zh·‘ÇÝVERSION_3DLDFŽ‘JTq·‘ÇÝ".È Ý"Ž‘Œ·‘ÇÝCOPYRIGHT_3DLDFŽ‘TÔk·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2ÂifŽ‘=´ý«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"ExitingÈ ÝwithÈ ÝreturnŽ‘kÆÜÈ ÝvalueÈ Ý0."Ž’£”>·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘2ÏexitŽ‘Cf«(0Ž‘);Ž¡‘(·gŽ¡‘(ÂelseŽ‘?Øã·fŽ¡‘2Ïc‘ÿ}'errŽ‘G|÷‘ÇÝ"ThisÈ Ýcan'tÈ Ýhappen!È Ž‘kÆÜÝ"Ž‘tTY·‘ÇÝ"option_indexÈ ÝhasÈ ÝinŽ‘kÆÜvalidÈ Ývalue:È Ý"Ž’¸”2·‘ÇÏoption‘‰ffŽ‘®indexŽ‘=Up·Ž¡‘FÏend‘‚ØlŽ‘\¸á·‘ÇÝ"WillÈ ÝtryÈ ÝtoÈ ÝcontinuŽ‘kÆÜe."Ž‘~ÔS·‘ÇÏend‘‚ØlŽ–ò·‘ÇÏend‘‚ØlŽ“·‘ÇÏ ushŽ‘€«;Ž¡‘(·gŽ¡‘gŽ¡‘ÂelseŽ‘4.7ifŽ‘?ã/«(Ïoption‘‰ffŽ‘®ctrŽ‘/‡<·‘ÇÝ'?'Ž‘ w«)‘·fŽ¡‘(Ïc‘ÿ}'errŽ‘=|·‘ÇÝ"getopt_long()È ÝreturŽ‘kÆÜnedÈ ÝambiguousÈ Ýmatch.Ž’ÔÆ È ÝBreaking."Ž’Óÿ·‘ÇÏend‘‚ØlŽ–ò·‘ÇÏend‘‚ØlŽ“·‘ÇÏ ushŽ‘€«;Ž¡‘(ÂbreakŽ‘D¡h«;Ž¡‘·gŽ¡‘ÂelseŽ‘5Øâ·fŽ¡‘(Ïc‘ÿ}'errŽ‘=|·‘ÇÝ"getopt_long()È ÝreturŽ‘kÆÜnedÈ ÝinvalidÈ Ýoption."Ž’Ø ·‘ÇÏend‘‚ØlŽ‘ò·‘ÇÏ ushŽ‘€«;Ž¡‘·gŽ¡‘ÂifŽ‘)´û«(ÝDEBUGŽ‘ÆY«)‘Ïc‘ÿ}'outŽ‘ O·‘ÇÝ"*******************Ž‘kÆÜ**\n\n"Ž’‘ /«;Ž¡‘·g‘±=·‘ÿýÂwhileŽ‘$íÑ·±=Ž¡‘ÂifŽ‘´ú«(ÏoptindŽ‘ªž±<‘ÇÏar‘ÿ}'gcŽ‘Þâ«)‘·fŽ¡‘Ïc‘ÿ}'outŽ‘4 R·‘ÇÝ"non-optionÈ ÝARGV-eleŽ‘kÆÜments:È Ý"Ž’–M,«;Ž¡‘ÂwhileŽ‘‘ üŸî8ÂBegin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ© ‘ -«[¬LDF‘T2003.08.14.«]Ž‘Y;Added–UUthis“section.ޤŸüÈ„`Ê‘ üŸî8ÂEnd‘ÕTLogŽ‘A•>„`ÊŽŽ¡·h‘ª¨«GCC–UU3.3“and“DEC“prinš¸ãt“v˜ersion,“cop˜yrigh˜t,“and“license“information‘@­1508‘ª¨·i‘Çަ‘ +Ïc‘ÿ}'outŽ‘Y8±:Ïpr–ÿ}'e“cisionŽ‘'½6«(6Ž‘);ŽŸ ­This–ÕXcoŸÓVEŽ‘ãxXŽ‘Gsection‘UUabGo•¸ãv“e.‘o·±=ަ‘ÂifŽ‘)´û«(ÝINVALID_REALŽ‘BM\·‘ÇÝMAX_REALŽ‘-Mh«)‘·fަ‘(Ïc‘ÿ}'errŽ‘=|·‘ÇÝ"ERROR!È ÝInÈ Ýmain():\nŽ‘kÆÜINVALID_REALÈ Ý==È ÝMAX_Ž’ÔÆ REAL.\nExiting."Ž’)LØ«;ަ‘(ÏexitŽ‘9e«(1Ž‘);ަ‘·gަ‘h›ª¨«ProGcess–UUcommand“line“options‘@­1502˜·i«;ޤ ­See–ÕXalso“sections“1510“and“1511.Ž¡This–ÕXco‘ üŸî8Begin‘ÕTLogŽ‘JÊ„`ÅÜ>ŽŽŽ¦‘ -«[¬LDF‘T2003.08.29.«]Ž‘Y<žChanged–‰¸the“string“that's“passed“to“Ïinitialize‘‰ffŽ‘®ioŽ‘6¿«(‘ª®)“as“the“name“of“the“input“ le.‘ñIt's“aަdummš¸ãy–æname,‘Ésince“I'v˜e“c˜hanged“Ïinitialize‘‰ffŽ‘®ioŽ‘5 í«(‘ª®)“toGda˜y‘ÿ*ª,›Éso“that“no“Ïin‘‰ffŽ‘®str–ÿ}'e“amŽ‘0Cù«isn't“opGened.‘Z¢Also,˜commen¸ãted-ަout–UUthe“line“where“Ïin‘‰ffŽ‘®str–ÿ}'e“amŽ‘0Î׫is“closed.ަ‘ +Ïc‘ÿ}'outŽ‘Y8±:Ïpr–ÿ}'e“cisionŽ‘'½6«(6Ž‘);ŽŸ ­This–ÕXcoŸÓVEŽ‘ãxXŽ‘Gsection‘UUabGo•¸ãv“e.‘o·±=ޤ ­See–ÕXalso“sections“1515,“1516,“1517,“1518,“and“1519.Ž¡This–ÕXco¸Þ·‘ÇÝ"ExitingÈ ÝwithÈ ÝreturnŽ‘kÆÜÈ ÝvalueÈ Ý1."Ž’£”>·‘ÇÏend‘‚ØlŽ–ò·‘ÇÏend‘‚ØlŽ“·‘ÇÏ ushŽ‘€«;ަ‘ÏexitŽ‘%c«(1Ž‘);ަ‘ +·gŽŽŽŒ‹Ù  Šn ý‘ì·x«1516–­3DLDFPRÃŽG’$ËÁMAIN‘ÕXITSELF“«473Ž €n ý•@PÂ1516.‘ ü«This–„—tests“whether“ÝMAX_REALŽ‘1~«has“a“reasonable“v‘ÿqÇalue.‘ÿŒThis“is“system“depGendenš¸ãt,‘gso“it“ma˜y“need“toޤ bšGe–UU ddled“with“when“3DLDF“is“p˜orted.‘qÇ[¬LDF‘T2003.12.08.«]ŽŽ¡‘ +TO–UUDO:“If“ÝLDF_REAL_DOUBLEŽ‘R›«,“Ïthr‘ÿ}'esholdŽ‘.ís«m¸ãust“bGe“set“to“a“smaller“v‘ÿqÇalue.‘qÇ[¬LDF‘T2003.12.08.«]ŽŽ©·h–ª¨«Main‘@­1514“·i‘Ç«+·Ž¡«#ÂifdefŽ‘áeÝWORDS_BIGENDIANŽŽ¡‘ +·fŽ¡‘Ïc‘ÿ}'errŽ‘,ªI·‘ô¡Ý"ERROR!È ÝInÈ Ýmain():\nŽ‘nôeThisÈ ÝisÈ ÝaÈ Ýbig-endianŽ’×ô)È Ýcomputer.\n"Ž’"¯ ·Ž¡‘(Ý"YouÈ ÝwillÈ ÝhaveÈ ÝtoÈ ÝchŽ’ÿÈangeÈ ÝtheÈ ÝwayÈ ÝMAX_REAŽ’ùÿŒLÈ ÝisÈ Ýcalculated\n"Ž’^Óm·Ž¡‘(Ý"inÈ Ýpspglb.webÈ ÝandÈ ÝrŽ’ÿÈecompile.È ÝSorryÈ ÝabouŽ’ùÿŒtÈ Ýthis.\n"Ž’5ö·Ž¡‘(Ý"ExitingÈ ÝwithÈ ÝreturnŽ’ÿÈÈ ÝvalueÈ Ý1\n\n"Ž’Ø!·‘ÇÏ ushŽ‘€«;Ž¡‘ÏexitŽ‘%c«(1Ž‘);Ž¡‘ +·gŽ¡«#ÂendifŽŽ¡‘ +·fŽ¡‘ÂrealŽ‘*³0Ïthr‘ÿ}'esholdŽ‘U½«=‘Ç1–8à·“«10Ÿü^ÿ®35ŽŽŽ‘!xÞ«;Ž¡#ÂifŽ‘ ´øÝLDF_REAL_DOUBLEŽŽ¦‘Ïc‘ÿ}'errŽ‘)•8·‘ßÝ"WARNING!È ÝInÈ Ýmain()Ž‘kßT:"Ž‘yÅF·‘ßÏend‘‚ØlŽ‘°â·‘ßÝ"thresholdÈ ÝmustÈ ÝbeÈ ÝsŽ‘kßTetÈ ÝtoÈ ÝaÈ ÝsmallerÈ ÝvaluŽ’Ôße,È Ý"Ž’íE·Ž¡‘(Ý"becauseÈ ÝrealÈ ÝisÈ ÝaÈ ÝsŽ’ÿÈynonymÈ ÝforÈ Ýdouble."Ž’ü‘¨·‘K±Ïend‘‚ØlŽ‘"‰$·Ž¡‘(Ý"ProcedingÈ ÝwithÈ ÝfingŽ’ÿÈersÈ Ýcrossed."Ž’Ø!·‘ÇÏend‘‚ØlŽ–ò·‘ÇÏend‘‚ØlŽ“·‘ÇÏ ushŽ‘€«;Ž¡#ÂendifŽŽ¡‘ifŽ‘´ú«((ÝINVALID_REALŽ‘A¿$·‘8àÝMAX_REALŽ‘,¿0«)–DZ>“Ïthr‘ÿ}'esholdŽ‘+ á«)‘·fŽ¡‘Ïc‘ÿ}'errŽ‘6#º·‘nÝ"ERROR!È ÝInÈ Ýmain():\nŽ‘nmÕINVALID_REALÈ Ý-È ÝMAX_RŽ’×m™EALÈ Ý>È Ý1e35.\n."Ž’,!å·Ž¡‘2Ý"INVALID_REALÈ Ý==È 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·h–ª¨«Include‘UU les‘@­11“·iŽ¡‘ h‘ª¨«V‘ÿ*ªersion–UUconš¸ãtrol“iden˜ti er‘@­10‘ª¨·iŽ¡‘ -h–ª¨«Main‘@­1509“·iŽ¡«#ÂendifŽŽ¤1513.‘ üAppQÇendices.Ž¡1514.‘ üReferences.ޤ«Cundy›ÿ*ª,–U>H.“Mart¸ãyn“and“A.P˜.“Rollet.‘ÏMathematic›ÿ}'al“Mo˜dels«.›Oxford“1961.˜Oxford“Univ•¸ãersit“y‘U>Press.ަ‘sçUnfortunately–U>out“of“prin¸ãt.Ž¡Finston,–U>Laurence“D.“Ï3DLDF“User“and“R–ÿ}'efer“enc“e–U>Manual«.‘G‘úÿÿottingen“2003.Ž¡Fisc¸ãher,–U>Gerd.‘ÏEb›ÿ}'ene“algebr˜aische“Kurven«.›View¸ãeg“Studium.˜Aufbaukurs“Mathematik.˜F‘ÿ*ªriedr.“View¸ãegŽ© ‘ÂSŽ‘öÁ«ohn–U>V‘ÿ*ªerlagsgesellscš¸ãhaft“m˜bH.“Braunsc˜h˜w˜eig/Wiesbaden“1994.Ž¡Hobb¸ãy›ÿ*ª,–U>John“D.“ÏA“User's“Manual“for“MetaPost«.‘A˜TÂTŽ‘ èp«Bell“LabGoratories.‘Murra¸ãy“Hill,“NJ.“No“date.Ž¡Jones,–U>Hu¸ãw.‘ÏComputer“Gr›ÿ}'aphics“thr˜ough“Key“Mathematics«.‘Springer-V‘ÿ*ªerlag“London“Limited“2001.ަ‘ISBN‘U>1-85233-422-3.ŽŽ¡Kn¸ãuth,–U>Donald“Ervin.–ÏMetafont:“The›U>Pr–ÿ}'o“gr“am«.‘Computers˜and˜T¸ãypGesetting;˜D.˜Addison˜W‘ÿ*ªesley˜Publish-ަ‘ing–U>Companš¸ãy‘ÿ*ª,“Inc.‘Reading,“Massac˜h˜usetts“1986.ަ‘ISBN‘U>0-201-13438-1.ŽŽ¡Kn¸ãuth,–U>Donald“Ervin.›ÏThe“MET‘ÿ;¼AF¾“ONTb–ÿ}'o“ok«.˜Computers–U>and“T¸ãypGesetting;“C.“Addison“W‘ÿ*ªesley“Publishingަ‘Companš¸ãy‘ÿ*ª,–U>Inc.‘Reading,“Massac˜h˜usetts“1986.Ž¡Kn¸ãuth,–U>Donald“Ervin.›ÏT‘ÿ;¼eX:“The“Pr–ÿ}'o“gr“am«.˜Computers–U>and“T¸ãypGesetting;“B.“Addison“W‘ÿ*ªesley“Publishingަ‘Companš¸ãy‘ÿ*ª,–U>Inc.‘Reading,“Massac˜h˜usetts“1986.ަ‘ISBN‘U>0-201-13437-3.ŽŽ¡Knš¸ãuth,–U>Donald“E.“ÏThe“T‘þKßÓVEŽ‘Í-XŽ‘¹&b–ÿ}'o“ok«.‘Computers–U>and“T˜ypGesetting;“A.“Addison“W‘ÿ*ªesley“Publishing“Compan˜y‘ÿ*ª,ަ‘Inc.‘Reading,›U>Massac•¸ãh“usetts˜1986.Ž¡Kn¸ãuth,–U>Donald“E.“and“Silvio“Levy‘ÿ*ª.‘ÏThe“ÂCWEB“ÏSystem“of“Structur–ÿ}'e“d‘U>Do“cumentation«.ަ‘V–ÿ*ªersion›U>3.64|F“ebruary˜2002.ŽŽŽŽŒ‹Ö¯Þ Šn ý‘ì«470–­REFERENCES’#\Ñ3DLDFPRÃŽG“·x«1514Ž €n ý•@PSalomon,–U>Da¸ãvid.‘ÏComputer“Gr›ÿ}'aphics“and“Ge˜ometric“Mo˜deling«.›Berlin“1999.˜Springer-V‘ÿ*ªerlag.ޤ ‘ISBN:‘U>0-387-98682-0.ŽŽ©StoGer,–U>Josef.›ÏNumerische“Mathematik“1«.˜Ac•¸ãh“te,–U>neu“b•Gearb“eitete–U>und“erw¸ãeiterte“Au age.˜Springer-V‘ÿ*ªerlag.Ž¡‘Berlin–U>1999.‘ISBN“3-540-66154-9.ŽŽ¦Stroustrup,–U>Bjarne.›ÏThe“¬C‘€Ÿÿ®+‘ÿ+ŽŽ‘œ^ÏPr–ÿ}'o“gr“amming‘U>L“anguage«.˜SpGecial–U>Edition.˜Reading,“Massac•¸ãh“usetts‘U>2000.Ž¡‘Addison-W–ÿ*ªesley“.Ž¡‘ISBN‘U>0-201-70073-5.ŽŽ¦Stroustrup,–U>Bjarne.›ÏThe“Design“and“Evolution“of“¬C‘€Ÿÿ®+‘ÿ+ŽŽ‘ G «.˜Reading,“Massac•¸ãh“usetts‘U>1994.˜Addison-W‘ÿ*ªesleyŽ¡‘Publishing‘U>Compan¸ãy‘ÿ*ª.Ž¡‘ISBN‘U>0-201-54330-3.ŽŽ©Â1515.› üGNU‘‚^F‘ÿ +h–ª¨«Main‘@­1514“·iŽ¡«#ÂendifŽŽ¤1521.‘ üAppQÇendices.Ž¡1522.‘ üReferences.ޤ«Cundy›ÿ*ª,–U>H.“Mart¸ãyn“and“A.P˜.“Rollet.‘ÏMathematic›ÿ}'al“Mo˜dels«.›Oxford“1961.˜Oxford“Univ•¸ãersit“y‘U>Press.ަ‘sçUnfortunately–U>out“of“prin¸ãt.Ž¡Finston,–U>Laurence“D.“Ï3DLDF“User“and“R–ÿ}'efer“enc“e–U>Manual«.‘G‘úÿÿottingen“2003.Ž¡Fisc¸ãher,–U>Gerd.‘ÏEb›ÿ}'ene“algebr˜aische“Kurven«.›View¸ãeg“Studium.˜Aufbaukurs“Mathematik.˜F‘ÿ*ªriedr.“View¸ãegŽ© ‘ÂSŽ‘öÁ«ohn–U>V‘ÿ*ªerlagsgesellscš¸ãhaft“m˜bH.“Braunsc˜h˜w˜eig/Wiesbaden“1994.Ž¡Hobb¸ãy›ÿ*ª,–U>John“D.“ÏA“User's“Manual“for“MetaPost«.‘A˜TÂTŽ‘ èp«Bell“LabGoratories.‘Murra¸ãy“Hill,“NJ.“No“date.Ž¡Jones,–U>Hu¸ãw.‘ÏComputer“Gr›ÿ}'aphics“thr˜ough“Key“Mathematics«.‘Springer-V‘ÿ*ªerlag“London“Limited“2001.ަ‘ISBN‘U>1-85233-422-3.ŽŽ¡Kn¸ãuth,–U>Donald“Ervin.–ÏMetafont:“The›U>Pr–ÿ}'o“gr“am«.‘Computers˜and˜T¸ãypGesetting;˜D.˜Addison˜W‘ÿ*ªesley˜Publish-ަ‘ing–U>Companš¸ãy‘ÿ*ª,“Inc.‘Reading,“Massac˜h˜usetts“1986.ަ‘ISBN‘U>0-201-13438-1.ŽŽ¡Kn¸ãuth,–U>Donald“Ervin.›ÏThe“MET‘ÿ;¼AF¾“ONTb–ÿ}'o“ok«.˜Computers–U>and“T¸ãypGesetting;“C.“Addison“W‘ÿ*ªesley“Publishingަ‘Companš¸ãy‘ÿ*ª,–U>Inc.‘Reading,“Massac˜h˜usetts“1986.Ž¡Kn¸ãuth,–U>Donald“Ervin.›ÏT‘ÿ;¼eX:“The“Pr–ÿ}'o“gr“am«.˜Computers–U>and“T¸ãypGesetting;“B.“Addison“W‘ÿ*ªesley“Publishingަ‘Companš¸ãy‘ÿ*ª,–U>Inc.‘Reading,“Massac˜h˜usetts“1986.ަ‘ISBN‘U>0-201-13437-3.ŽŽ¡Knš¸ãuth,–U>Donald“E.“ÏThe“T‘þKßÓVEŽ‘Í-XŽ‘¹&b–ÿ}'o“ok«.‘Computers–U>and“T˜ypGesetting;“A.“Addison“W‘ÿ*ªesley“Publishing“Compan˜y‘ÿ*ª,ަ‘Inc.‘Reading,›U>Massac•¸ãh“usetts˜1986.Ž¡Kn¸ãuth,–U>Donald“E.“and“Silvio“Levy‘ÿ*ª.‘ÏThe“ÂCWEB“ÏSystem“of“Structur–ÿ}'e“d‘U>Do“cumentation«.ަ‘V–ÿ*ªersion›U>3.64|F“ebruary˜2002.ŽŽŽŽŒ‹Û»- Šn ý‘ì·x«1522–­3DLDFPRÃŽG’#\ÑREFERENCES“«475Ž €n ý•@PSalomon,–U>Da¸ãvid.‘ÏComputer“Gr›ÿ}'aphics“and“Ge˜ometric“Mo˜deling«.›Berlin“1999.˜Springer-V‘ÿ*ªerlag.ޤ 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-A‘\€\Secondary–]Section"“is“a“named“appšGendix“or“a“fron¸ãt-matter“section“of“the“Do˜cumen¸ãt“that“dealsŽ¡exclusivš¸ãely–0with“the“relationship“of“the“publishers“or“authors“of“the“DoGcumen˜t“to“the“DoGcumen˜t's“o˜v˜erallŽ¡sub‘Ž8ject–pæ(or“to“related“matters)“and“conš¸ãtains“nothing“that“could“fall“directly“within“that“o˜v˜erall“sub‘Ž8ject.ŽŽŽŒ‹×»’ Šn ý‘ì·x«1515›­3DLDFPRÃŽG’¶ŠGGNU–ÕXFREE“DOCUMENT–ÿJªA“TION‘ÕXLICENSE˜«471Ž €n ý•@P(Thš¸ãus,‘f­if–0the“DoGcumen˜t“is“in“part“a“textb•Go“ok–0of“mathematics,‘f­a“Secondary“Section“ma˜y“not“explain“an˜yޤ mathematics.)‘ÇLThe–q×relationship“could“bGe“a“matter“of“historical“connection“with“the“sub‘Ž8ject“or“with“relatedŽ¡matters,–UUor“of“legal,“commercial,“philosophical,“ethical“or“pšGolitical“p˜osition“regarding“them.Ž©‘ +A‘\€\Secondary–]Section"“is“a“named“appšGendix“or“a“fron¸ãt-matter“section“of“the“Do˜cumen¸ãt“that“dealsŽ¡exclusivš¸ãely–0with“the“relationship“of“the“publishers“or“authors“of“the“DoGcumen˜t“to“the“DoGcumen˜t's“o˜v˜erallŽ¡sub‘Ž8ject–pæ(or“to“related“matters)“and“conš¸ãtains“nothing“that“could“fall“directly“within“that“o˜v˜erall“sub‘Ž8ject.ŽŽŽŒ‹ÜÆá Šn ý‘ì«476›­GNU–ÕXFREE“DOCUMENT–ÿJªA“TION‘ÕXLICENSE’¶ŠG3DLDFPRÃŽG˜·x«1523Ž €n ý•@P(Thš¸ãus,‘f­if–0the“DoGcumen˜t“is“in“part“a“textb•Go“ok–0of“mathematics,‘f­a“Secondary“Section“ma˜y“not“explain“an˜yޤ mathematics.)‘ÇLThe–q×relationship“could“bGe“a“matter“of“historical“connection“with“the“sub‘Ž8ject“or“with“relatedŽ¡matters,–UUor“of“legal,“commercial,“philosophical,“ethical“or“pšGolitical“p˜osition“regarding“them.Ž©‘ The›Eð\In•¸ãv‘ÿqÇarian“t˜Sections"˜are˜certain˜Secondary˜Sections˜whose˜titles˜are˜designated,‘‚as˜bGeing˜those˜ofŽ¡In•¸ãv‘ÿqÇarian“t–ЕSections,‘ë"in“the“notice“that“saš¸ãys“that“the“DoGcumen˜t“is“released“under“this“License.‘E‡If“a“section“doGesŽ¡not–úQ t“the“abšGo•¸ãv“e–úQde nition“of“Secondary“then“it“is“not“allo•¸ãw“ed–úQto“b˜e“designated“as“In•¸ãv‘ÿqÇarian“t.‘SpThe‘úQDo˜cumen“tŽ¡ma•¸ãy›Ñ6con“tain˜zero˜In“v‘ÿqÇarian“t˜Sections.‘åjIf˜the˜DoGcumen“t˜doGes˜not˜iden“tify˜an“y˜In“v‘ÿqÇarian“t˜Sections˜then˜thereŽ¡are‘UUnone.ަ‘ The›O\Co•¸ãv“er˜T–ÿ*ªexts"˜are˜certain˜short˜passages˜of˜text˜that˜are˜listed,‘PYas˜F“ron•¸ãt-Co“v“er˜T‘ÿ*ªexts˜or˜Bac“k-Co“v“erŽ¡T‘ÿ*ªexts,‘£in–¶the“notice“that“saš¸ãys“that“the“DoGcumen˜t“is“released“under“this“License.‘W=A‘¢F‘ÿ*ªron˜t-Co˜v˜er“T‘ÿ*ªext“ma˜y“bGeŽ¡at–UUmost“5“wš¸ãords,“and“a“Bac˜k-Co˜v˜er“T‘ÿ*ªext“ma˜y“bGe“at“most“25“w˜ords.ަ‘ A‘Ø\T‘ÿ*ªransparen•¸ãt"›Ø)cop“y˜of˜the˜DoGcumen“t˜means˜a˜mac“hine-readable˜cop“y‘ÿ*ª,‘øÞrepresen“ted˜in˜a˜format˜whoseŽ¡spšGeci cation–°ºis“a¸ãv‘ÿqÇailable“to“the“general“public,‘Ç“that“is“suitable“for“revising“the“do˜cumenš¸ãt“straigh˜tforw˜ardlyŽ¡with–„ôgeneric“text“editors“or“(for“images“compGosed“of“pixels)“generic“painš¸ãt“programs“or“(for“dra˜wings)“someŽ¡widely–ç!aš¸ãv‘ÿqÇailable“dra˜wing“editor,‘ý,and“that“is“suitable“for“input“to“text“formatters“or“for“automatic“translationŽ¡to–\ƒa“v‘ÿqÇarietš¸ãy“of“formats“suitable“for“input“to“text“formatters.‘‡RA‘\?cop˜y“made“in“an“otherwise“T‘ÿ*ªransparen˜tŽ¡ le–M%format“whose“markup,›‹or“absence“of“markup,˜has“bGeen“arranged“to“th•¸ãw“art–M%or“discourage“subsequen¸ãtŽ¡moGdi cation–X(bš¸ãy“readers“is“not“T‘ÿ*ªransparen˜t.‘z@An“image“format“is“not“T‘ÿ*ªransparen˜t“if“used“for“an˜y“substan˜tialŽ¡amounš¸ãt–UUof“text.‘qÇA“cop˜y“that“is“not“\T‘ÿ*ªransparen˜t"“is“called“\Opaque".ަ‘ @@ -5771,14 +5857,14 @@ A›^section–q\En¸ãtitled“XYZ"˜means“a“named“subunit“of“the“DoGcumen¸ãt“whose“title“either“is“precisely“XYZ˜orŽ¡conš¸ãtains–àXYZ‘Ñin“paren˜theses“follo˜wing“text“that“translates“XYZ›Ñin“another“language.‘^K(Here“XYZ˜stands“forŽ¡a–W3spšGeci c“section“name“men¸ãtioned“b˜elo•¸ãw,›W«suc“h–W3as“\Ac•¸ãkno“wledgemen“ts",˜\Dedications",˜\Endorsemen“ts",˜orŽ¡\History".)‘Q&T‘ÿ*ªo–óp\Preservš¸ãe“the“Title"“of“suc˜h“a“section“when“y˜ou“mošGdify“the“Do˜cumen¸ãt“means“that“it“remainsŽ¡a–UUsection“\En¸ãtitled“XYZ"“according“to“this“de nition.ަ‘ The–ËsDoGcumenš¸ãt“ma˜y“include“W‘ÿ*ªarran˜t˜y“Disclaimers“next“to“the“notice“whic˜h“states“that“this“License“appliesŽ¡to–Ísthe“DoGcumenš¸ãt.‘Ú!These“W‘ÿ*ªarran˜t˜y“Disclaimers“are“considered“to“bGe“included“b˜y“reference“in“this“License,Ž¡but–Ùonly“as“regards“disclaiming“w•¸ãarran“ties:‘3©an“y–Ùother“implication“that“these“W‘ÿ*ªarran•¸ãt“y–ÙDisclaimers“maš¸ãy“ha˜v˜eŽ¡is–UUv¸ãoid“and“has“no“e ect“on“the“meaning“of“this“License.ޤ’¯Bd2.‘qÇVERBA‘ÿ*ªTIM‘UUCOPYINGŽ¡‘ Y‘ÿ*ªou–v°maš¸ãy“cop˜y“and“distribute“the“DoGcumen˜t“in“an˜y“medium,‘¿either“commercially“or“noncommercially‘ÿ*ª,ޤ proš¸ãvided–äêthat“this“License,‘Ïthe“cop˜yrigh˜t“notices,‘Ïand“the“license“notice“sa˜ying“this“License“applies“to“theŽ¡DošGcumen¸ãt–æare“repro˜duced“in“all“copies,‘ -Gand“that“y¸ãou“add“no“other“conditions“whatso˜ev¸ãer“to“those“of“thisŽ¡License.‘$Y‘ÿ*ªou–ßmaš¸ãy“not“use“tec˜hnical“measures“to“obstruct“or“con˜trol“the“reading“or“further“cop˜ying“of“theŽ¡copies–»Xyš¸ãou“mak˜e“or“distribute.‘£ÑHo˜w˜ev˜er,‘Ùy˜ou“ma˜y“accept“compGensation“in“exc˜hange“for“copies.‘£ÑIf“y˜ouŽ¡distribute–UUa“large“enough“n•¸ãum“bGer–UUof“copies“yš¸ãou“m˜ust“also“follo˜w“the“conditions“in“section“3.ŽŽŽŒ‹ØÌF Šn ý‘ì«472›­GNU–ÕXFREE“DOCUMENT–ÿJªA“TION‘ÕXLICENSE’¶ŠG3DLDFPRÃŽG˜·x«1515Ž €n ý•@P‘ +Gand“that“y¸ãou“add“no“other“conditions“whatso˜ev¸ãer“to“those“of“thisŽ¡License.‘$Y‘ÿ*ªou–ßmaš¸ãy“not“use“tec˜hnical“measures“to“obstruct“or“con˜trol“the“reading“or“further“cop˜ying“of“theŽ¡copies–»Xyš¸ãou“mak˜e“or“distribute.‘£ÑHo˜w˜ev˜er,‘Ùy˜ou“ma˜y“accept“compGensation“in“exc˜hange“for“copies.‘£ÑIf“y˜ouŽ¡distribute–UUa“large“enough“n•¸ãum“bGer–UUof“copies“yš¸ãou“m˜ust“also“follo˜w“the“conditions“in“section“3.ŽŽŽŒ‹Ýו Šn ý‘ì·x«1523›­3DLDFPRÃŽG’¶ŠGGNU–ÕXFREE“DOCUMENT–ÿJªA“TION‘ÕXLICENSE˜«477Ž €n ý•@P‘ Y‘ÿ*ªou–UUmaš¸ãy“also“lend“copies,“under“the“same“conditions“stated“abGo˜v˜e,“and“y˜ou“ma˜y“publicly“displa˜y“copies.ޤ’§Ô+3.‘qÇCOPYING–UUIN“QUANTITYŽ¡‘ If–Ê»yš¸ãou“publish“prin˜ted“copies“(or“copies“in“media“that“commonly“ha˜v˜e“prin˜ted“co˜v˜ers)“of“the“DoGcumen˜t,ޤ n•¸ãum“bšGering–úmore“than“100,‘#Land“the“Do˜cumenš¸ãt's“license“notice“requires“Co˜v˜er“T‘ÿ*ªexts,‘#Ly˜ou“m˜ust“enclose“theŽ¡copies–_Åin“co•¸ãv“ers–_Åthat“carry›ÿ*ª,‘baclearly“and“legibly˜,‘baall“these“Co•¸ãv“er‘_ÅT˜exts:‘†§F˜ron“t-Co“v“er–_ÅT˜exts“on“the“fronš¸ãt“co˜v˜er,Ž¡and›p¶Bac•¸ãk-Co“v“er˜T‘ÿ*ªexts˜on˜the˜bac“k˜co“v“er.‘ÃêBoth˜co“v“ers˜m“ust˜also˜clearly˜and˜legibly˜iden“tify˜y“ou˜as˜theŽ¡publisher–zof“these“copies.‘ö6The“fronš¸ãt“co˜v˜er“m˜ust“presen˜t“the“full“title“with“all“w˜ords“of“the“title“equallyŽ¡prominenš¸ãt–ôëand“visible.‘Q¤Y‘ÿ*ªou“ma˜y“add“other“material“on“the“co˜v˜ers“in“addition.‘Q¤Cop˜ying“with“c˜hanges“limitedŽ¡to– the“co•¸ãv“ers,‘as– long“as“they“preservš¸ãe“the“title“of“the“DoGcumen˜t“and“satisfy“these“conditions,‘can“bGe“treatedŽ¡as–UUvš¸ãerbatim“cop˜ying“in“other“respGects.Ž©‘ If–]„the“required“texts“for“either“co•¸ãv“er–]„are“toGo“vš¸ãoluminous“to“ t“legibly‘ÿ*ª,‘_y˜ou“should“put“the“ rst“ones“listedŽ¡(as–UUmanš¸ãy“as“ t“reasonably)“on“the“actual“co˜v˜er,“and“con˜tin˜ue“the“rest“on˜to“adjacen˜t“pages.ަ‘ If–¿¼yš¸ãou“publish“or“distribute“Opaque“copies“of“the“DoGcumen˜t“n˜um˜bGering“more“than“100,‘ÚVy˜ou“m˜ust“eitherŽ¡include–üIa“macš¸ãhine-readable“T‘ÿ*ªransparen˜t“cop˜y“along“with“eac˜h“Opaque“cop˜y‘ÿ*ª,‘or“state“in“or“with“eac˜h“OpaqueŽ¡copš¸ãy–Å'a“computer-net˜w˜ork“loGcation“from“whic˜h“the“general“net˜w˜ork-using“public“has“access“to“do˜wnload“usingŽ¡public-standard›znet•¸ãw“ork˜protoGcols˜a˜complete˜T‘ÿ*ªransparen“t˜cop“y˜of˜the˜DoGcumen“t,‘' free˜of˜added˜material.‘^~IfŽ¡yš¸ãou–†õuse“the“latter“option,‘“]y˜ou“m˜ust“tak˜e“reasonably“pruden˜t“steps,‘“]when“y˜ou“bGegin“distribution“of“OpaqueŽ¡copies–áßin“quan•¸ãtit“y›ÿ*ª,‘to–áßensure“that“this“T˜ransparenš¸ãt“cop˜y“will“remain“th˜us“accessible“at“the“stated“loGcationŽ¡unš¸ãtil–"Ýat“least“one“y˜ear“after“the“last“time“y˜ou“distribute“an“Opaque“cop˜y“(directly“or“through“y˜our“agen˜ts“orŽ¡retailers)–UUof“that“edition“to“the“public.ަ‘ It–(Fis“requested,›1Ibut“not“required,˜that“yš¸ãou“con˜tact“the“authors“of“the“DoGcumen˜t“w˜ell“bGefore“redistributingŽ¡anš¸ãy–ûlarge“n˜um˜bGer“of“copies,‘Ato“giv˜e“them“a“c˜hance“to“pro˜vide“y˜ou“with“an“upGdated“v˜ersion“of“the“DoGcumen˜t.ޤ’ºÒe4.‘qÇMODIFICA‘ÿ*ªTIONSŽ¡‘ Y‘ÿ*ªou–V¦maš¸ãy“cop˜y“and“distribute“a“MošGdi ed“V‘ÿ*ªersion“of“the“Do˜cumen¸ãt“under“the“conditions“of“sections“2“andޤ 3›i!abGo•¸ãv“e,‘®pro“vided˜that˜y“ou˜release˜the˜Mo•Gdi ed˜V‘ÿ*ªersion˜under˜precisely˜this˜License,‘®with˜the˜Mo“di edŽ¡V‘ÿ*ªersion–ã lling“the“role“of“the“DošGcumen•¸ãt,‘ùèth“us–ã licensing“distribution“and“mo˜di cation“of“the“Mo˜di ed“V‘ÿ*ªersionŽ¡to–UUwhošGev¸ãer“p˜ossesses“a“copš¸ãy“of“it.‘qÇIn“addition,“y˜ou“m˜ust“do“these“things“in“the“MoGdi ed“V‘ÿ*ªersion:ަ‘ -A.–V Use“in“the“Title“Pš¸ãage“(and“on“the“co˜v˜ers,‘V9if“an˜y)“a“title“distinct“from“that“of“the“DoGcumen˜t,‘V9and“fromŽ¡those–Êof“previous“vš¸ãersions“(whic˜h“should,‘åÞif“there“w˜ere“an˜y‘ÿ*ª,‘åÞbšGe“listed“in“the“History“section“of“the“Do˜cumen¸ãt).Ž¡Y‘ÿ*ªou–¦amaš¸ãy“use“the“same“title“as“a“previous“v˜ersion“if“the“original“publisher“of“that“v˜ersion“giv˜es“pGermission.Ž¡B.–6List“on“the“Title“P¸ãage,›Ì.as“authors,˜one“or“more“pšGersons“or“en¸ãtities“resp˜onsible“for“authorship“of“theŽ¡mošGdi cations–‡Iin“the“Mo˜di ed“V‘ÿ*ªersion,‘“Ætogether“with“at“least“ v¸ãe“of“the“principal“authors“of“the“Do˜cumen¸ãtŽ¡(all–êTof“its“principal“authors,‘ÿ»if“it“has“fewš¸ãer“than“ v˜e),‘ÿ»unless“they“release“y˜ou“from“this“requiremen˜t.‘NC.“StateŽ¡on–±¾the“Title“page“the“name“of“the“publisher“of“the“MoGdi ed“V‘ÿ*ªersion,‘ÈÙas“the“publisher.‘‡D.“Preserv¸ãe“all“theŽ¡cop•¸ãyrigh“t–@œnotices“of“the“DoGcumenš¸ãt.‘jßE.“Add“an“appropriate“cop˜yrigh˜t“notice“for“y˜our“moGdi cations“adjacen˜tŽ¡to–Éœthe“other“cop•¸ãyrigh“t–Éœnotices.‘ΜF.“Include,›æ­immediately“after“the“cop•¸ãyrigh“t–Éœnotices,˜a“license“notice“givingŽ¡the–9public“pšGermission“to“use“the“Mo˜di ed“V‘ÿ*ªersion“under“the“terms“of“this“License,‘>¯in“the“form“sho¸ãwn“in“theŽ¡Addendum–›„bGeloš¸ãw.‘DTG.“Preserv˜e“in“that“license“notice“the“full“lists“of“In˜v‘ÿqÇarian˜t“Sections“and“required“Co˜v˜erŽ¡T‘ÿ*ªexts–zùgivš¸ãen“in“the“DoGcumen˜t's“license“notice.‘â²H.“Include“an“unaltered“cop˜y“of“this“License.‘â²I.“Preserv˜e“theŽ¡section–J‰Enš¸ãtitled“\History",‘‡ÖPreserv˜e“its“Title,›‡Öand“add“to“it“an“item“stating“at“least“the“title,˜y¸ãear,˜newŽ¡authors,‘ ‘and–çpublisher“of“the“MoGdi ed“V‘ÿ*ªersion“as“givš¸ãen“on“the“Title“P˜age.‘'$If“there“is“no“section“En˜titledŽ¡\History"–êOin“the“DoGcumen¸ãt,›Žcreate“one“stating“the“title,˜y¸ãear,˜authors,˜and“publisher“of“the“DoGcumen¸ãt“asŽ¡givš¸ãen–õon“its“Title“P˜age,‘\then“add“an“item“describing“the“MoGdi ed“V‘ÿ*ªersion“as“stated“in“the“previous“sen˜tence.Ž¡J.–R%Preservš¸ãe“the“net˜w˜ork“loGcation,‘‘Xif“an˜y‘ÿ*ª,‘‘Xgiv˜en“in“the“DoGcumen˜t“for“public“access“to“a“T‘ÿ*ªransparen˜t“cop˜yŽ¡of–;$the“DoGcumenš¸ãt,‘t˜and“lik˜ewise“the“net˜w˜ork“loGcations“giv˜en“in“the“DoGcumen˜t“for“previous“v˜ersions“it“w˜asŽ¡based–W¥on.›x¶These“ma¸ãy“bGe“placed“in“the“\History"“section.˜Y‘ÿ*ªou“maš¸ãy“omit“a“net˜w˜ork“loGcation“for“a“w˜orkŽŽŽŒ‹Ùá­ Šn ý‘ì·x«1515›­3DLDFPRÃŽG’¶ŠGGNU–ÕXFREE“DOCUMENT–ÿJªA“TION‘ÕXLICENSE˜«473Ž €n ý•@Pthat–n¸wš¸ãas“published“at“least“four“y˜ears“bšGefore“the“Do˜cumenš¸ãt“itself,‘uor“if“the“original“publisher“of“the“v˜ersionޤ it–Ͷrefers“to“givš¸ães“pGermission.‘ÚéK.“F‘ÿ*ªor“an˜y“section“En˜titled“\Ac˜kno˜wledgemen˜ts"“or“\Dedications",‘ëÎPreserv˜eŽ¡the–ú„Title“of“the“section,‘#Ïand“preservš¸ãe“in“the“section“all“the“substance“and“tone“of“eac˜h“of“the“con˜tributorŽ¡ac•¸ãkno“wledgemen“ts–ï]and/or“dedications“givš¸ãen“therein.‘OÊL.“Preserv˜e“all“the“In˜v‘ÿqÇarian˜t“Sections“of“the“DoGcumen˜t,Ž¡unaltered–pÃin“their“text“and“in“their“titles.‘ÄSection“n•¸ãum“bGers–pÃor“the“equiv‘ÿqÇalen¸ãt“are“not“considered“part“of“theŽ¡section–²ætitles.‘ŠyM.“Delete“anš¸ãy“section“En˜titled“\Endorsemen˜ts".‘ŠySuc˜h“a“section“ma˜y“not“bGe“included“in“theŽ¡MošGdi ed–ÿ1V‘ÿ*ªersion.‘UN.“Do“not“retitle“an¸ãy“existing“section“to“b˜e“Enš¸ãtitled“\Endorsemen˜ts"“or“to“con ict“in“titleŽ¡with–UUanš¸ãy“In˜v‘ÿqÇarian˜t“Section.‘qÇO.“Preserv˜e“an˜y“W‘ÿ*ªarran˜t˜y“Disclaimers.Ž©‘ +A.–V Use“in“the“Title“Pš¸ãage“(and“on“the“co˜v˜ers,‘V9if“an˜y)“a“title“distinct“from“that“of“the“DoGcumen˜t,‘V9and“fromŽ¡those–Êof“previous“vš¸ãersions“(whic˜h“should,‘åÞif“there“w˜ere“an˜y‘ÿ*ª,‘åÞbšGe“listed“in“the“History“section“of“the“Do˜cumen¸ãt).Ž¡Y‘ÿ*ªou–¦amaš¸ãy“use“the“same“title“as“a“previous“v˜ersion“if“the“original“publisher“of“that“v˜ersion“giv˜es“pGermission.Ž¡B.–6List“on“the“Title“P¸ãage,›Ì.as“authors,˜one“or“more“pšGersons“or“en¸ãtities“resp˜onsible“for“authorship“of“theŽ¡mošGdi cations–‡Iin“the“Mo˜di ed“V‘ÿ*ªersion,‘“Ætogether“with“at“least“ v¸ãe“of“the“principal“authors“of“the“Do˜cumen¸ãtŽ¡(all–êTof“its“principal“authors,‘ÿ»if“it“has“fewš¸ãer“than“ v˜e),‘ÿ»unless“they“release“y˜ou“from“this“requiremen˜t.‘NC.“StateŽ¡on–±¾the“Title“page“the“name“of“the“publisher“of“the“MoGdi ed“V‘ÿ*ªersion,‘ÈÙas“the“publisher.‘‡D.“Preserv¸ãe“all“theŽ¡cop•¸ãyrigh“t–@œnotices“of“the“DoGcumenš¸ãt.‘jßE.“Add“an“appropriate“cop˜yrigh˜t“notice“for“y˜our“moGdi cations“adjacen˜tŽ¡to–Éœthe“other“cop•¸ãyrigh“t–Éœnotices.‘ΜF.“Include,›æ­immediately“after“the“cop•¸ãyrigh“t–Éœnotices,˜a“license“notice“givingŽ¡the–9public“pšGermission“to“use“the“Mo˜di ed“V‘ÿ*ªersion“under“the“terms“of“this“License,‘>¯in“the“form“sho¸ãwn“in“theŽ¡Addendum–›„bGeloš¸ãw.‘DTG.“Preserv˜e“in“that“license“notice“the“full“lists“of“In˜v‘ÿqÇarian˜t“Sections“and“required“Co˜v˜erŽ¡T‘ÿ*ªexts–zùgivš¸ãen“in“the“DoGcumen˜t's“license“notice.‘â²H.“Include“an“unaltered“cop˜y“of“this“License.‘â²I.“Preserv˜e“theŽ¡section–J‰Enš¸ãtitled“\History",‘‡ÖPreserv˜e“its“Title,›‡Öand“add“to“it“an“item“stating“at“least“the“title,˜y¸ãear,˜newŽ¡authors,‘ ‘and–çpublisher“of“the“MoGdi ed“V‘ÿ*ªersion“as“givš¸ãen“on“the“Title“P˜age.‘'$If“there“is“no“section“En˜titledŽ¡\History"–êOin“the“DoGcumen¸ãt,›Žcreate“one“stating“the“title,˜y¸ãear,˜authors,˜and“publisher“of“the“DoGcumen¸ãt“asŽ¡givš¸ãen–õon“its“Title“P˜age,‘\then“add“an“item“describing“the“MoGdi ed“V‘ÿ*ªersion“as“stated“in“the“previous“sen˜tence.Ž¡J.–R%Preservš¸ãe“the“net˜w˜ork“loGcation,‘‘Xif“an˜y‘ÿ*ª,‘‘Xgiv˜en“in“the“DoGcumen˜t“for“public“access“to“a“T‘ÿ*ªransparen˜t“cop˜yŽ¡of–;$the“DoGcumenš¸ãt,‘t˜and“lik˜ewise“the“net˜w˜ork“loGcations“giv˜en“in“the“DoGcumen˜t“for“previous“v˜ersions“it“w˜asŽ¡based–W¥on.›x¶These“ma¸ãy“bGe“placed“in“the“\History"“section.˜Y‘ÿ*ªou“maš¸ãy“omit“a“net˜w˜ork“loGcation“for“a“w˜orkŽŽŽŒ‹Þìü Šn ý‘ì«478›­GNU–ÕXFREE“DOCUMENT–ÿJªA“TION‘ÕXLICENSE’¶ŠG3DLDFPRÃŽG˜·x«1523Ž €n ý•@Pthat–n¸wš¸ãas“published“at“least“four“y˜ears“bšGefore“the“Do˜cumenš¸ãt“itself,‘uor“if“the“original“publisher“of“the“v˜ersionޤ it–Ͷrefers“to“givš¸ães“pGermission.‘ÚéK.“F‘ÿ*ªor“an˜y“section“En˜titled“\Ac˜kno˜wledgemen˜ts"“or“\Dedications",‘ëÎPreserv˜eŽ¡the–ú„Title“of“the“section,‘#Ïand“preservš¸ãe“in“the“section“all“the“substance“and“tone“of“eac˜h“of“the“con˜tributorŽ¡ac•¸ãkno“wledgemen“ts–ï]and/or“dedications“givš¸ãen“therein.‘OÊL.“Preserv˜e“all“the“In˜v‘ÿqÇarian˜t“Sections“of“the“DoGcumen˜t,Ž¡unaltered–pÃin“their“text“and“in“their“titles.‘ÄSection“n•¸ãum“bGers–pÃor“the“equiv‘ÿqÇalen¸ãt“are“not“considered“part“of“theŽ¡section–²ætitles.‘ŠyM.“Delete“anš¸ãy“section“En˜titled“\Endorsemen˜ts".‘ŠySuc˜h“a“section“ma˜y“not“bGe“included“in“theŽ¡MošGdi ed–ÿ1V‘ÿ*ªersion.‘UN.“Do“not“retitle“an¸ãy“existing“section“to“b˜e“Enš¸ãtitled“\Endorsemen˜ts"“or“to“con ict“in“titleŽ¡with–UUanš¸ãy“In˜v‘ÿqÇarian˜t“Section.‘qÇO.“Preserv˜e“an˜y“W‘ÿ*ªarran˜t˜y“Disclaimers.Ž©‘ If–vîthe“MošGdi ed“V‘ÿ*ªersion“includes“new“fron¸ãt-matter“sections“or“app˜endices“that“qualify“as“Secondary“SectionsŽ¡and–‚—conš¸ãtain“no“material“copied“from“the“DoGcumen˜t,‘çy˜ou“ma˜y“at“y˜our“option“designate“some“or“all“of“theseŽ¡sections–¢Jas“in•¸ãv›ÿqÇarian“t.‘X§T‘ÿ*ªo–¢Jdo“this,‘µˆadd“their“titles“to“the“list“of“In•¸ãv˜arian“t–¢JSections“in“the“MoGdi ed“V‘ÿ*ªersion'sŽ¡license–UUnotice.‘qÇThese“titles“mš¸ãust“bGe“distinct“from“an˜y“other“section“titles.ަ‘ Y‘ÿ*ªou–zÕmaš¸ãy“add“a“section“En˜titled“\Endorsemen˜ts",‘„5pro˜vided“it“con˜tains“nothing“but“endorsemen˜ts“of“y˜ourŽ¡MoGdi ed–UOV‘ÿ*ªersion“bš¸ãy“v‘ÿqÇarious“parties{for“example,‘ˆ„statemen˜ts“of“pšGeer“review“or“that“the“text“has“b˜een“appro•¸ãv“edŽ¡bš¸ãy–UUan“organization“as“the“authoritativ˜e“de nition“of“a“standard.ަ‘ Y‘ÿ*ªou–êQmaš¸ãy“add“a“passage“of“up“to“ v˜e“w˜ords“as“a“F‘ÿ*ªron˜t-Co˜v˜er“T‘ÿ*ªext,‘and“a“passage“of“up“to“25“w˜ords“asŽ¡a›o|Bac•¸ãk-Co“v“er˜T‘ÿ*ªext,‘¶to˜the˜end˜of˜the˜list˜of˜Co“v“er˜T–ÿ*ªexts˜in˜the˜MoGdi ed˜V“ersion.‘À=Only˜one˜passage˜ofŽ¡F›ÿ*ªron•¸ãt-Co“v“er–öJT˜ext“and“one“of“Bac•¸ãk-Co“v“er–öJT˜ext“maš¸ãy“bGe“added“b˜y“(or“through“arrangemen˜ts“made“b˜y)“an˜yŽ¡one›#ûen•¸ãtit“y‘ÿ*ª.‘aTIf˜the˜DoGcumen“t˜already˜includes˜a˜co“v“er˜text˜for˜the˜same˜co“v“er,‘-Úpreviously˜added˜b“y˜y“ou˜or˜b“yŽ¡arrangemenš¸ãt–…þmade“b˜y“the“same“en˜tit˜y“y˜ou“are“acting“on“bGehalf“of,‘’(y˜ou“ma˜y“not“add“another;‘žRbut“y˜ou“ma˜yŽ¡replace–UUthe“old“one,“on“explicit“pGermission“from“the“previous“publisher“that“added“the“old“one.ަ‘ @@ -5788,7 +5874,7 @@ In–1Úthe“com•¸ãbination,‘8óy“ou›1Úm“ust˜com“bine˜an“y˜sections˜En“titled˜\History"˜in˜the˜v‘ÿqÇarious˜original˜doGcumen“ts,Ž¡forming– +one“section“Enš¸ãtitled“\History";‘clik˜ewise“com˜bine“an˜y“sections“En˜titled“\Ac˜kno˜wledgemen˜ts",‘6 andŽ¡anš¸ãy–UUsections“En˜titled“\Dedications".‘qÇY‘ÿ*ªou“m˜ust“delete“all“sections“En˜titled“\Endorsemen˜ts".ޤ’”} 6.‘qÇCOLLECTIONS–UUOF“DOCUMENTSŽ¡‘ Y‘ÿ*ªou–NÄmaš¸ãy“mak˜e“a“collection“consisting“of“the“DoGcumen˜t“and“other“doGcumen˜ts“released“under“this“License,ޤ and–î­replace“the“individual“copies“of“this“License“in“the“v‘ÿqÇarious“doGcumenš¸ãts“with“a“single“cop˜y“that“is“includedŽ¡in–sthe“collection,‘Ýúproš¸ãvided“that“y˜ou“follo˜w“the“rules“of“this“License“for“v˜erbatim“cop˜ying“of“eac˜h“of“theŽ¡došGcumen¸ãts–UUin“all“other“resp˜ects.ަ‘ -Y‘ÿ*ªou–~Dmaš¸ãy“extract“a“single“doGcumen˜t“from“suc˜h“a“collection,‘©Gand“distribute“it“individually“under“this“License,Ž¡pro•¸ãvided›sey“ou˜insert˜a˜cop“y˜of˜this˜License˜in“to˜the˜extracted˜doGcumen“t,‘zéand˜follo“w˜this˜License˜in˜all˜otherŽ¡respGects–UUregarding“vš¸ãerbatim“cop˜ying“of“that“doGcumen˜t.ŽŽŽŒ‹Úø@ Šn ý‘ì«474›­GNU–ÕXFREE“DOCUMENT–ÿJªA“TION‘ÕXLICENSE’¶ŠG3DLDFPRÃŽG˜·x«1515Ž €n ý•@P‘qt%7.‘qÇAš¸ãGGREGA‘ÿ*ªTION–UUWITH“INDEPENDENT“W˜ORKSŽ©˜—‘ +Y‘ÿ*ªou–~Dmaš¸ãy“extract“a“single“doGcumen˜t“from“suc˜h“a“collection,‘©Gand“distribute“it“individually“under“this“License,Ž¡pro•¸ãvided›sey“ou˜insert˜a˜cop“y˜of˜this˜License˜in“to˜the˜extracted˜doGcumen“t,‘zéand˜follo“w˜this˜License˜in˜all˜otherŽ¡respGects–UUregarding“vš¸ãerbatim“cop˜ying“of“that“doGcumen˜t.ŽŽŽŒ‹ß Šn ý‘ì·x«1523›­3DLDFPRÃŽG’¶ŠGGNU–ÕXFREE“DOCUMENT–ÿJªA“TION‘ÕXLICENSE˜«479Ž €n ý•@P‘qt%7.‘qÇAš¸ãGGREGA‘ÿ*ªTION–UUWITH“INDEPENDENT“W˜ORKSŽ©˜—‘ A‘vbcompilation–všof“the“DoGcumenš¸ãt“or“its“deriv‘ÿqÇativ˜es“with“other“separate“and“indepGenden˜t“doGcumen˜ts“or“w˜orks,ޤ in–­or“on“a“vš¸ãolume“of“a“storage“or“distribution“medium,‘θis“called“an“\aggregate"“if“the“cop˜yrigh˜t“resulting“fromŽ¡the–Àæcompilation“is“not“used“to“limit“the“legal“righš¸ãts“of“the“compilation's“users“bGey˜ond“what“the“individualŽ¡w¸ãorks–öÒpšGermit.‘V=When“the“Do˜cumen¸ãt“is“included“in“an“aggregate,‘1this“License“do˜es“not“apply“to“the“otherŽ¡wš¸ãorks–UUin“the“aggregate“whic˜h“are“not“themselv˜es“deriv‘ÿqÇativ˜e“w˜orks“of“the“DoGcumen˜t.ŽŸ‘ If–‡Ethe“Co•¸ãv“er–‡ET‘ÿ*ªext“requiremenš¸ãt“of“section“3“is“applicable“to“these“copies“of“the“DoGcumen˜t,‘ÓÀthen“if“theŽ¡DoGcumenš¸ãt–çˆis“less“than“one“half“of“the“en˜tire“aggregate,‘ý~the“DoGcumen˜t's“Co˜v˜er“T‘ÿ*ªexts“ma˜y“bGe“placed“on“co˜v˜ersŽ¡that›¿Mbrac•¸ãk“et˜the˜DoGcumen“t˜within˜the˜aggregate,‘ÙËor˜the˜electronic˜equiv‘ÿqÇalen“t˜of˜co“v“ers˜if˜the˜DoGcumen“t˜isŽ¡in–UUelectronic“form.‘qÇOtherwise“they“mš¸ãust“appGear“on“prin˜ted“co˜v˜ers“that“brac˜k˜et“the“whole“aggregate.ŽŸ1/’¿®Ø8.‘qÇTRANSLA‘ÿ*ªTIONަ‘ 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Y‘ÿ*ªou–1Úmaš¸ãy“not“cop˜y–ÿ*ª,›8òmoGdify“,˜sublicense,˜or–1Údistribute“the“DoGcumenš¸ãt“except“as“expressly“pro˜vided“for“underŽ¡this–ULicense.‘xÆAnš¸ãy“other“attempt“to“cop˜y–ÿ*ª,›-•moGdify“,˜sublicense–Uor“distribute“the“DoGcumenš¸ãt“is“v˜oid,‘-•and“willŽ¡automatically–öterminate“yš¸ãour“righ˜ts“under“this“License.‘A=Ho˜w˜ev˜er,‘àÖparties“who“ha˜v˜e“receiv˜ed“copies,‘àÖor“righ˜ts,Ž¡from– ´yš¸ãou“under“this“License“will“not“ha˜v˜e“their“licenses“terminated“so“long“as“suc˜h“parties“remain“in“fullŽ¡compliance.ŽŸ1/’‡³10.‘qÇFUTURE–UUREVISIONS“OF“THIS“LICENSEަ‘ The–ÓÒF›ÿ*ªree“Soft•¸ãw“are–ÓÒF˜oundation“maš¸ãy“publish“new,‘íºrevised“v˜ersions“of“the“GNU‘Ó²F‘ÿ*ªree“DoGcumen˜tation“LicenseŽ¡from–ªtime“to“time.‘^9Sucš¸ãh“new“v˜ersions“will“bGe“similar“in“spirit“to“the“presen˜t“v˜ersion,‘&fbut“ma˜y“di er“in“detailŽ¡to–UUaddress“new“problems“or“concerns.‘qÇSee“Èhttp://www.gnu.org/copyleft/«.ŽŸ‘ 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ŽŽŽŽ‘:«YEAR–1YOUR“NAME.–@Pš¸ãermission“is“gran˜ted“to“cop˜y‘ÿ*ª,‘(wdistribute“and/or“mošGdify“this“do˜cumen¸ãtŽ¡under–:…the“terms“of“the“GNU‘:~F›ÿ*ªree“DoGcumen¸ãtation“License,‘?âV˜ersion“1.2“or“anš¸ãy“later“v˜ersion“published“b˜y“theŽŽŽŒ‹Û  Šn ý‘ì·x«1515›­3DLDFPRÃŽG’¶ŠGGNU–ÕXFREE“DOCUMENT–ÿJªA“TION‘ÕXLICENSE˜«475Ž €n ý•@PF‘ÿ*ªree› ESoft•¸ãw“are˜F‘ÿ*ªoundation;‘žwith˜no˜In“v‘ÿqÇarian“t˜Sections,‘³no˜F‘ÿ*ªron“t-Co“v“er˜T‘ÿ*ªexts,‘³and˜no˜Bac“k-Co“v“er˜T‘ÿ*ªexts.‘R˜Aޤ copš¸ãy–UUof“the“license“is“included“in“the“section“en˜titled“\GNU“F‘ÿ*ªree“DoGcumen˜tation“License".Ž©‘ +T‘ÿ*ªo–§fuse“this“License“in“a“doGcumenš¸ãt“y˜ou“ha˜v˜e“written,‘»êinclude“a“cop˜y“of“the“License“in“the“doGcumen˜t“andŽ¡put–UUthe“folloš¸ãwing“cop˜yrigh˜t“and“license“notices“just“after“the“title“page:ŽŸCop•¸ãyrigh“t‘ä]ž²×cŽŽŽ‘@· ŽŽŽŽ‘:«YEAR–1YOUR“NAME.–@Pš¸ãermission“is“gran˜ted“to“cop˜y‘ÿ*ª,‘(wdistribute“and/or“mošGdify“this“do˜cumen¸ãtŽ¡under–:…the“terms“of“the“GNU‘:~F›ÿ*ªree“DoGcumen¸ãtation“License,‘?âV˜ersion“1.2“or“anš¸ãy“later“v˜ersion“published“b˜y“theŽŽŽŒ‹àn Šn ý‘ì«480›­GNU–ÕXFREE“DOCUMENT–ÿJªA“TION‘ÕXLICENSE’¶ŠG3DLDFPRÃŽG˜·x«1523Ž €n ý•@PF‘ÿ*ªree› ESoft•¸ãw“are˜F‘ÿ*ªoundation;‘žwith˜no˜In“v‘ÿqÇarian“t˜Sections,‘³no˜F‘ÿ*ªron“t-Co“v“er˜T‘ÿ*ªexts,‘³and˜no˜Bac“k-Co“v“er˜T‘ÿ*ªexts.‘R˜Aޤ copš¸ãy–UUof“the“license“is“included“in“the“section“en˜titled“\GNU“F‘ÿ*ªree“DoGcumen˜tation“License".Ž©‘ If–pyš¸ãou“ha˜v˜e“In˜v‘ÿqÇarian˜t“Sections,‘v®F‘ÿ*ªron˜t-Co˜v˜er“T‘ÿ*ªexts“and“Bac˜k-Co˜v˜er“T›ÿ*ªexts,‘v®replace“the“\with...T˜exts."‘ÁÑlineŽ¡with‘UUthis:ަwith–Aøthe“In•¸ãv‘ÿqÇarian“t–AøSections“bGeing“LIST–AóTHEIR“TITLES,–Aøwith“the“F›ÿ*ªron•¸ãt-Co“v“er–AøT˜exts“bGeing“LIST,“and“withŽ¡the›UUBac•¸ãk-Co“v“er˜T‘ÿ*ªexts˜bGeing˜LIST.ަ‘ If–\¹yš¸ãou“ha˜v˜e“In˜v‘ÿqÇarian˜t“Sections“without“Co˜v˜er“T‘ÿ*ªexts,‘^’or“some“other“com˜bination“of“the“three,‘^’merge“thoseŽ¡t•¸ãw“o›UUalternativ“es˜to˜suit˜the˜situation.ަ‘ -If–h2yš¸ãour“doGcumen˜t“con˜tains“non˜trivial“examples“of“program“coGde,‘léw˜e“recommend“releasing“these“examplesŽ¡in–÷Šparallel“under“yš¸ãour“c˜hoice“of“free“soft˜w˜are“license,‘ suc˜h“as“the“GNU‘÷`General“Public“License,‘ to“pGermitŽ¡their–UUuse“in“free“soft•¸ãw“are.ŽŸ·h›ª¨«GNU–UUF‘ÿ*ªree“DoGcumen¸ãtation“License‘@­1515˜·i‘ǑDZ=·‘ÿý«This“section“con¸ãtains“no“¬C‘€Ÿÿ®+‘ÿ+ŽŽ‘œu«coGde.‘o·±=ŽŸ ­This–ÕXcolicenses“for“most“soft•¸ãw“are–¯>are“designed“to“takš¸ãe“a˜w˜a˜y“y˜our“freedom“to“share“and“c˜hange“it.‘:jBy“con˜trast,Ž¡the–âLGNU‘â/General“Public“License“is“inš¸ãtended“to“guaran˜tee“y˜our“freedom“to“share“and“c˜hange“free“soft˜w˜are{toŽ¡makš¸ãe–R+sure“the“soft˜w˜are“is“free“for“all“its“users.‘hJThis“General“Public“License“applies“to“most“of“the“F‘ÿ*ªreeŽ¡Soft•¸ãw“are–¬ÒF‘ÿ*ªoundation's“soft•¸ãw“are–¬Òand“to“an¸ãy“other“program“whose“authors“commit“to“using“it.‘x=(Some“otherŽ¡F‘ÿ*ªree›ë?Soft•¸ãw“are˜F‘ÿ*ªoundation˜soft“w“are˜is˜co“v“ered˜b“y˜the˜GNU‘ë$Library˜General˜Public˜License˜instead.)‘NjY‘ÿ*ªou˜canŽ¡apply–UUit“to“y¸ãour“programs,“toGo.ަ‘ When–y­wš¸ãe“spGeak“of“free“soft˜w˜are,‘‚Âw˜e“are“referring“to“freedom,‘‚Ânot“price.‘ÞÎOur“General“Public“Licenses“areŽ¡designed–¼æto“makš¸ãe“sure“that“y˜ou“ha˜v˜e“the“freedom“to“distribute“copies“of“free“soft˜w˜are“(and“c˜harge“for“thisŽ¡service–¢òif“yš¸ãou“wish),‘Æ that“y˜ou“receiv˜e“source“coGde“or“can“get“it“if“y˜ou“w˜an˜t“it,‘Æ that“y˜ou“can“c˜hange“the“soft˜w˜areŽ¡or–UUuse“pieces“of“it“in“new“free“programs;“and“that“yš¸ãou“kno˜w“y˜ou“can“do“these“things.ަ‘ T‘ÿ*ªo–(aprotect“yš¸ãour“righ˜ts,‘1^w˜e“need“to“mak˜e“restrictions“that“forbid“an˜y˜one“to“den˜y“y˜ou“these“righ˜ts“or“to“askŽ¡yš¸ãou–˜Sto“surrender“the“righ˜ts.‘:ÀThese“restrictions“translate“to“certain“respGonsibilities“for“y˜ou“if“y˜ou“distributeŽ¡copies–UUof“the“soft•¸ãw“are,–UUor“if“y¸ãou“moGdify“it.ަ‘ F‘ÿ*ªor–~example,‘,ˆif“yš¸ãou“distribute“copies“of“suc˜h“a“program,›,ˆwhether“gratis“or“for“a“fee,˜yš¸ãou“m˜ust“giv˜e“theŽ¡recipienš¸ãts–all“the“righ˜ts“that“y˜ou“ha˜v˜e.‘zÜY‘ÿ*ªou“m˜ust“mak˜e“sure“that“they‘ÿ*ª,–.stoGo,“receiv˜e–or“can“get“the“sourceŽ¡coGde.‘qÇAnd–UUyš¸ãou“m˜ust“sho˜w“them“these“terms“so“they“kno˜w“their“righ˜ts.ަ‘ W‘ÿ*ªe–˜protect“yš¸ãour“righ˜ts“with“t˜w˜o“steps:‘êM(1)“cop˜yrigh˜t“the“soft˜w˜are,‘@¨and“(2)“o er“y˜ou“this“license“whic˜hŽ¡giv•¸ães›UUy“ou˜legal˜pGermission˜to˜cop“y‘ÿ*ª,˜distribute˜and/or˜moGdify˜the˜soft“w“are.ަ‘ -Also,›ìºfor–Ò“eac¸ãh“author's“protection“and“ours,˜wš¸ãe“w˜an˜t“to“mak˜e“certain“that“ev˜ery˜one“understands“that“thereŽ¡is–@óno“w•¸ãarran“t“y–@ófor“this“free“soft•¸ãw“are.‘jüIf–@óthe“soft•¸ãw“are–@óis“moGdi ed“bš¸ãy“someone“else“and“passed“on,‘Ew˜e“w˜an˜t“itsŽ¡recipienš¸ãts–Ýto“kno˜w“that“what“they“ha˜v˜e“is“not“the“original,‘°so“that“an˜y“problems“in˜troGduced“b˜y“others“willŽ¡not–UUre ect“on“the“original“authors'“reputations.ŽŽŽŒ‹Üß Šn ý‘ì«476›­GNU–ÕXGENERAL“PUBLIC“LICENSE’Ñ}3DLDFPRÃŽG˜·x«1516Ž €n ý•@P‘ +Also,›ìºfor–Ò“eac¸ãh“author's“protection“and“ours,˜wš¸ãe“w˜an˜t“to“mak˜e“certain“that“ev˜ery˜one“understands“that“thereŽ¡is–@óno“w•¸ãarran“t“y–@ófor“this“free“soft•¸ãw“are.‘jüIf–@óthe“soft•¸ãw“are–@óis“moGdi ed“bš¸ãy“someone“else“and“passed“on,‘Ew˜e“w˜an˜t“itsŽ¡recipienš¸ãts–Ýto“kno˜w“that“what“they“ha˜v˜e“is“not“the“original,‘°so“that“an˜y“problems“in˜troGduced“b˜y“others“willŽ¡not–UUre ect“on“the“original“authors'“reputations.ŽŽŽŒ‹á+. Šn ý‘ì·x«1524›­3DLDFPRÃŽG’Ñ}GNU–ÕXGENERAL“PUBLIC“LICENSE˜«481Ž €n ý•@P‘ Finally‘ÿ*ª,‘¾anš¸ãy–uöfree“program“is“threatened“constan˜tly“b˜y“soft˜w˜are“paten˜ts.‘ÓªW‘ÿ*ªe“wish“to“a˜v˜oid“the“dangerޤ that–¢Wredistributors“of“a“free“program“will“individually“obtain“paten¸ãt“licenses,‘µ—in“e ect“making“the“programŽ¡proprietary–ÿ*ª.‘l®T“o›F prev•¸ãen“t˜this,‘Iw“e˜ha“v“e˜made˜it˜clear˜that˜an“y˜paten“t˜m“ust˜bGe˜licensed˜for˜ev“ery“one's˜free˜useŽ¡or–UUnot“licensed“at“all.Ž©‘ The–UUprecise“terms“and“conditions“for“copš¸ãying,“distribution“and“moGdi cation“follo˜w.ŽŸ’˜NÓGNU–UUGENERAL“PUBLIC“LICENSEŽ¡‘$”TERMS–UUAND“CONDITIONS“F¸ãOR“COPYING,“DISTRIBUTION“AND“MODIFICA‘ÿ*ªTIONަ‘ @@ -5815,7 +5901,7 @@ Y‘ÿ*ªou–ºthe“recipien˜t“automaticallyŽ¡receivš¸ães– za“license“from“the“original“licensor“to“cop˜y‘ÿ*ª,‘sdistribute“or“moGdify“the“Program“sub‘Ž8ject“to“these“termsŽ¡and–vconditions.‘UÒY‘ÿ*ªou“maš¸ãy“not“impGose“an˜y“further“restrictions“on“the“recipien˜ts'“exercise“of“the“righ˜ts“gran˜tedŽ¡herein.‘qÇY‘ÿ*ªou–UUare“not“respGonsible“for“enforcing“compliance“b¸ãy“third“parties“to“this“License.ަ‘ -7.‘1|If,‘»as–”sa“consequence“of“a“court“judgmenš¸ãt“or“allegation“of“paten˜t“infringemen˜t“or“for“an˜y“other“reason“(notŽ¡limited–ŸDto“patenš¸ãt“issues),‘±Àconditions“are“impGosed“on“y˜ou“(whether“b˜y“court“order,‘±Àagreemen˜t“or“otherwise)Ž¡that–Êâconš¸ãtradict“the“conditions“of“this“License,‘èEthey“do“not“excuse“y˜ou“from“the“conditions“of“this“License.Ž¡If–ä‚yš¸ãou“cannot“distribute“so“as“to“satisfy“sim˜ultaneously“y˜our“obligations“under“this“License“and“an˜y“otherŽ¡pGertinenš¸ãt–¬.obligations,‘Áäthen“as“a“consequence“y˜ou“ma˜y“not“distribute“the“Program“at“all.‘vQF‘ÿ*ªor“example,‘Áäif“aŽ¡patenš¸ãt–Õglicense“w˜ould“not“pGermit“ro˜y˜alt˜y-free“redistribution“of“the“Program“b˜y“all“those“who“receiv˜e“copiesŽ¡directly–@5or“indirectly“through“yš¸ãou,‘Dnthen“the“only“w˜a˜y“y˜ou“could“satisfy“bGoth“it“and“this“License“w˜ould“bGe“toŽ¡refrain–UUen¸ãtirely“from“distribution“of“the“Program.ŽŽŽŒ‹ÞF Šn ý‘ì«478›­GNU–ÕXGENERAL“PUBLIC“LICENSE’Ñ}3DLDFPRÃŽG˜·x«1516Ž €n ý•@P‘ +7.‘1|If,‘»as–”sa“consequence“of“a“court“judgmenš¸ãt“or“allegation“of“paten˜t“infringemen˜t“or“for“an˜y“other“reason“(notŽ¡limited–ŸDto“patenš¸ãt“issues),‘±Àconditions“are“impGosed“on“y˜ou“(whether“b˜y“court“order,‘±Àagreemen˜t“or“otherwise)Ž¡that–Êâconš¸ãtradict“the“conditions“of“this“License,‘èEthey“do“not“excuse“y˜ou“from“the“conditions“of“this“License.Ž¡If–ä‚yš¸ãou“cannot“distribute“so“as“to“satisfy“sim˜ultaneously“y˜our“obligations“under“this“License“and“an˜y“otherŽ¡pGertinenš¸ãt–¬.obligations,‘Áäthen“as“a“consequence“y˜ou“ma˜y“not“distribute“the“Program“at“all.‘vQF‘ÿ*ªor“example,‘Áäif“aŽ¡patenš¸ãt–Õglicense“w˜ould“not“pGermit“ro˜y˜alt˜y-free“redistribution“of“the“Program“b˜y“all“those“who“receiv˜e“copiesŽ¡directly–@5or“indirectly“through“yš¸ãou,‘Dnthen“the“only“w˜a˜y“y˜ou“could“satisfy“bGoth“it“and“this“License“w˜ould“bGe“toŽ¡refrain–UUen¸ãtirely“from“distribution“of“the“Program.ŽŽŽŒ‹ãQR Šn ý‘ì·x«1524›­3DLDFPRÃŽG’Ñ}GNU–ÕXGENERAL“PUBLIC“LICENSE˜«483Ž €n ý•@P‘ If–nanš¸ãy“pGortion“of“this“section“is“held“in˜v‘ÿqÇalid“or“unenforceable“under“an˜y“particular“circumstance,‘œQthe“balanceޤ of–UUthe“section“is“inš¸ãtended“to“apply“and“the“section“as“a“whole“is“in˜tended“to“apply“in“other“circumstances.Ž©‘ It– þis“not“the“purpGose“of“this“section“to“induce“yš¸ãou“to“infringe“an˜y“paten˜ts“or“other“propGert˜y“righ˜t“claimsŽ¡or–oGto“conš¸ãtest“v‘ÿqÇalidit˜y“of“an˜y“suc˜h“claims;‘|Athis“section“has“the“sole“purpGose“of“protecting“the“in˜tegrit˜y“of“theŽ¡free›Òsoft•¸ãw“are˜distribution˜system,‘¹whic“h˜is˜implemen“ted˜b“y˜public˜license˜practices.‘WFMan“y˜pGeople˜ha“v“e˜madeŽ¡generous–ƒÝconš¸ãtributions“to“the“wide“range“of“soft˜w˜are“distributed“through“that“system“in“reliance“on“consisten˜tŽ¡application–í@of“that“system;‘òit“is“up“to“the“author/donor“to“decide“if“he“or“she“is“willing“to“distribute“soft•¸ãw“areŽ¡through–UUanš¸ãy“other“system“and“a“licensee“cannot“impGose“that“c˜hoice.ަ‘ This–Ogsection“is“inš¸ãtended“to“mak˜e“thoroughly“clear“what“is“bGeliev˜ed“to“bGe“a“consequence“of“the“rest“of“thisŽ¡License.ަ‘ @@ -5833,7 +5919,7 @@ Eac•¸ãh›–ùv“ersion˜is˜giv“en˜a˜distinguishing˜v“ersion˜n“um“b•Ger.‘6²If˜the˜Program˜sp“eci es˜a˜v•¸ãersion˜n“um“bGer˜of˜thisŽ¡License–¶Êwhicš¸ãh“applies“to“it“and“\an˜y“later“v˜ersion",‘Ö€y˜ou“ha˜v˜e“the“option“of“follo˜wing“the“terms“and“conditionsŽ¡either– 'of“that“vš¸ãersion“or“of“an˜y“later“v˜ersion“published“b˜y“the“F‘ÿ*ªree“Soft˜w˜are“F‘ÿ*ªoundation.‘™>If“the“ProgramŽ¡došGes–Â~not“sp˜ecify“a“vš¸ãersion“n˜um˜bGer“of“this“License,‘ÝÉy˜ou“ma˜y“c˜hoGose“an˜y“v˜ersion“ev˜er“published“b˜y“the“F‘ÿ*ªreeŽ¡Soft•¸ãw“are‘UUF‘ÿ*ªoundation.ަ‘ 10.‘D If–Ì yš¸ãou“wish“to“incorpGorate“parts“of“the“Program“in˜to“other“free“programs“whose“distribution“conditionsŽ¡are–¢:di erenš¸ãt,‘õswrite“to“the“author“to“ask“for“pGermission.‘XvF‘ÿ*ªor“soft˜w˜are“whic˜h“is“cop˜yrigh˜ted“b˜y“the“F‘ÿ*ªreeŽ¡Soft•¸ãw“are–¯fF›ÿ*ªoundation,‘Åêwrite“to“the“F˜ree“Soft•¸ãw“are‘¯fF˜oundation;‘Üow“e–¯fsometimes“mak¸ãe“exceptions“for“this.‘úOurŽ¡decision–¶³will“bGe“guided“bš¸ãy“the“t˜w˜o“goals“of“preserving“the“free“status“of“all“deriv‘ÿqÇativ˜es“of“our“free“soft˜w˜areŽ¡and–UUof“promoting“the“sharing“and“reuse“of“soft•¸ãw“are‘UUgenerally‘ÿ*ª.ŽŸ’Ã.NO‘UUW‘þãARRANTYަ‘ 11.‘—BECAš¸ãUSE–R‚THE“PR˜OGRAM“IS“LICENSED“FREE“OF“CHAR˜GE,‘RÄTHERE“IS“NO“W‘þãARRANTY“F˜ORŽ¡THE–ö PR¸ãOGRAM,›ö6TO“THE“EXTENT“PERMITTED“BY“APPLICABLE“LA‘þãW.˜EX¸ãCEPT“WHEN“OTH-Ž¡ER‘þãWISE›àÒST–ÿ*ªA“TED˜IN˜WRITING˜THE˜COPYRIGHT˜HOLDERS˜AND/OR˜OTHER˜P“AR“TIES˜PR•¸ãO“VIDEŽ¡THE–ePR¸ãOGRAM“\AS“IS"“WITHOUT“W‘þãARRANTY“OF“ANY“KIND,‘eaEITHER“EXPRESSED“OR“IM-Ž¡PLIED,–-JINCLUDING,“BUT–-@NOT“LIMITED“TO,‘-JTHE“IMPLIED“W‘þãARRANTIES“OF“MER¸ãCHANT‘ÿ*ªABIL-Ž¡ITY–sßAND“FITNESS“F¸ãOR“A“P–ÿ*ªAR“TICULAR–sßPURPOSE.‘tTHE“ENTIRE“RISK“AS“TO“THE“QUALITY“ANDŽ¡PERFš¸ãORMANCE–;OF“THE“PR˜OGRAM“IS“WITH“YOU.‘nSHOULD“THE“PR˜OGRAM“PR˜O˜VE“DEFEC-Ž¡TIVE,–UUYOU“ASSUME“THE“COST“OF“ALL“NECESSAR›ÿ*ªY“SER‘þãVICING,“REP˜AIR“OR“CORRECTION.ަ‘ -12.‘LIN– þNO“EVENT“UNLESS“REQUIRED“BY“APPLICABLE“LA‘þãW“OR“A¸ãGREED“TO“IN“WRITINGŽ¡WILL–JqANY“COPYRIGHT“HOLDER,‘J°OR“ANY“OTHER“P–ÿ*ªAR“TY–JqWHO“MA‘ÿ*ªY“MODIFY“AND/OR“RE-Ž¡DISTRIBUTE–¬¬THE“PRš¸ãOGRAM“AS“PERMITTED“ABO˜VE,‘­BE“LIABLE“TO“YOU“F˜OR“D˜AMA˜GES,Ž¡INCLUDING–QéANY“GENERAL,–QêSPECIAL,“INCIDENT‘ÿ*ªAL–QéOR“CONSEQUENTIAL“D•¸ãAMA“GES‘QéARISINGŽ¡OUT–P×OF“THE“USE“OR“INABILITY“TO“USE“THE“PR¸ãOGRAM“(INCLUDING“BUT“NOT“LIMITED“TOŽ¡LOSS–YFOF“Dš¸ãA–ÿ*ªT“A–YFOR“D˜A–ÿ*ªT“A–YFBEING“RENDERED“INA˜CCURA›ÿ*ªTE“OR“LOSSES“SUST˜AINED“BY“YOUŽ¡OR–,THIRD“P–ÿ*ªAR“TIES–,OR“A“F‘þãAILURE“OF“THE“PRš¸ãOGRAM“TO“OPERA‘ÿ*ªTE“WITH“ANY“OTHER“PR˜O-Ž¡GRAMS),‘ ?EVEN– IF“SUCH“HOLDER“OR“OTHER“P–ÿ*ªAR“TY– HAS“BEEN“AD¸ãVISED“OF“THE“POSSIBILITYŽ¡OF–UUSUCH“D•¸ãAMA“GES.ŽŽŽŒ‹ß[C Šn ý‘ì·x«1516›­3DLDFPRÃŽG’Ñ}GNU–ÕXGENERAL“PUBLIC“LICENSE˜«479Ž €n ý•@P’”šEND–UUOF“TERMS“AND“CONDITIONSŽŸ‘z+DHo¸ãw–UUto“Apply“These“T›ÿ*ªerms“to“Y˜our“New“Programsޤ‘ +12.‘LIN– þNO“EVENT“UNLESS“REQUIRED“BY“APPLICABLE“LA‘þãW“OR“A¸ãGREED“TO“IN“WRITINGŽ¡WILL–JqANY“COPYRIGHT“HOLDER,‘J°OR“ANY“OTHER“P–ÿ*ªAR“TY–JqWHO“MA‘ÿ*ªY“MODIFY“AND/OR“RE-Ž¡DISTRIBUTE–¬¬THE“PRš¸ãOGRAM“AS“PERMITTED“ABO˜VE,‘­BE“LIABLE“TO“YOU“F˜OR“D˜AMA˜GES,Ž¡INCLUDING–QéANY“GENERAL,–QêSPECIAL,“INCIDENT‘ÿ*ªAL–QéOR“CONSEQUENTIAL“D•¸ãAMA“GES‘QéARISINGŽ¡OUT–P×OF“THE“USE“OR“INABILITY“TO“USE“THE“PR¸ãOGRAM“(INCLUDING“BUT“NOT“LIMITED“TOŽ¡LOSS–YFOF“Dš¸ãA–ÿ*ªT“A–YFOR“D˜A–ÿ*ªT“A–YFBEING“RENDERED“INA˜CCURA›ÿ*ªTE“OR“LOSSES“SUST˜AINED“BY“YOUŽ¡OR–,THIRD“P–ÿ*ªAR“TIES–,OR“A“F‘þãAILURE“OF“THE“PRš¸ãOGRAM“TO“OPERA‘ÿ*ªTE“WITH“ANY“OTHER“PR˜O-Ž¡GRAMS),‘ ?EVEN– IF“SUCH“HOLDER“OR“OTHER“P–ÿ*ªAR“TY– HAS“BEEN“AD¸ãVISED“OF“THE“POSSIBILITYŽ¡OF–UUSUCH“D•¸ãAMA“GES.ŽŽŽŒ‹äf’ Šn ý‘ì«484›­GNU–ÕXGENERAL“PUBLIC“LICENSE’Ñ}3DLDFPRÃŽG˜·x«1524Ž €n ý•@P’”šEND–UUOF“TERMS“AND“CONDITIONSŽŸ‘z+DHo¸ãw–UUto“Apply“These“T›ÿ*ªerms“to“Y˜our“New“Programsޤ‘ If––ßyš¸ãou“dev˜elop“a“new“program,‘§Aand“y˜ou“w˜an˜t“it“to“bšGe“of“the“greatest“p˜ossible“use“to“the“public,‘§Athe“b˜estŽ© w•¸ãa“y–Ëéto“ac•¸ãhiev“e–Ëéthis“is“to“makš¸ãe“it“free“soft˜w˜are“whic˜h“ev˜ery˜one“can“redistribute“and“c˜hange“under“these“terms.Ž¡‘ T‘ÿ*ªo–³ùdo“so,‘Ô?attacš¸ãh“the“follo˜wing“notices“to“the“program.‘;þIt“is“safest“to“attac˜h“them“to“the“start“of“eac˜h“sourceަ le–’Xto“most“e ectivš¸ãely“con˜v˜ey“the“exclusion“of“w˜arran˜t˜y;‘°Úand“eac˜h“ le“should“ha˜v˜e“at“least“the“\cop˜yrigh˜t"ަline–UUand“a“pGoin¸ãter“to“where“the“full“notice“is“found.Ž¡·h«one–UUline“to“giv¸ãe“the“program's“name“and“a“brief“idea“of“what“it“doGes.·iަ«Cop•¸ãyrigh“t–UU(C)“·h«y¸ãear·i“h«name“of“author·iŽ¡«This–\program“is“free“soft•¸ãw“are;‘&¯y“ou–\can“redistribute“it“and/or“moGdify“it“under“the“terms“of“the“GNU‘JGeneralަPublic–ù¦License“as“published“bš¸ãy“the“F‘ÿ*ªree“Soft˜w˜are“F‘ÿ*ªoundation;‘KÏeither“v˜ersion“2“of“the“License,‘"»or“(at“y˜ourަoption)–UUanš¸ãy“later“v˜ersion.Ž¡This–(fprogram“is“distributed“in“the“hopšGe“that“it“will“b˜e“useful,‘1cbut“WITHOUT–([ANY“W‘þãARRANTY;‘(fwithoutަevš¸ãen–ƒªthe“implied“w˜arran˜t˜y“of“MER˜CHANT‘ÿ*ªABILITY›ƒžor“FITNESS˜F¸ãOR˜A˜P–ÿ*ªAR“TICULAR˜PURPOSE.‘ƒªSeeަthe–UUGNU“General“Public“License“for“more“details.Ž¡Y‘ÿ*ªou–qÖshould“ha•¸ãv“e›qÖreceiv“ed˜a˜cop“y˜of˜the˜GNU‘qÏGeneral˜Public˜License˜along˜with˜this˜program;‘€if˜not,‘xöwriteަto–UUthe“F›ÿ*ªree“Soft•¸ãw“are–UUF˜oundation,“Inc.,“59“T˜emple“Place,“Suite“330,“Boston,“MA“02111-1307“USAŽ¡‘ Also–UUadd“information“on“hoš¸ãw“to“con˜tact“y˜ou“b˜y“electronic“and“papGer“mail.Ž¡‘ @@ -5842,29 +5928,29 @@ Y‘ÿ*ªou–u+should“also“get“yš¸ãour“emplo˜y˜er“(if“y˜ou“w˜ork“as“a“programmer)“or“y˜our“sc˜hoGol,‘¢if“an˜y‘ÿ*ª,‘¢to“sign“a“\cop˜yrigh˜tަdisclaimer"–UUfor“the“program,“if“necessary‘ÿ*ª.‘qÇHere“is“a“sample;“alter“the“names:Ž¡‘ Y‘ÿ*ªo•¸ãy“oGdyne,– Inc.,“herebš¸ãy–ùµdisclaims“all“cop˜yrigh˜t“in˜terest“in“the“program“`Gnomo˜vision'“(whic˜h“mak˜es“passesަat–UUcompilers)“written“bš¸ãy“James“Hac˜k˜er.Ž¡‘ ·h«signature–UUof“Tš¸ãy“CoGon·i«,“1“April“1989“T˜y“CoGon,“Presiden˜t“of“ViceŽ¡‘ -This–9iGeneral“Public“License“došGes“not“p˜ermit“incorp˜orating“yš¸ãour“program“in˜to“proprietary“programs.‘$If“y˜ourަprogram–l·is“a“subroutine“library‘ÿ*ª,‘ryš¸ãou“ma˜y“consider“it“more“useful“to“pGermit“linking“proprietary“applicationsަwith–Cthe“library‘ÿ*ª.‘ZÁIf“this“is“what“yš¸ãou“w˜an˜t“to“do,‘use“the“GNU‘2Library“General“Public“License“instead“of“thisަLicense.ŽŸ·h›ª¨«GNU–UUGeneral“Public“License‘@­1516˜·i‘ǑDZ=·‘ÿý«This“section“con¸ãtains“no“¬C‘€Ÿÿ®+‘ÿ+ŽŽ‘œu«coGde.‘o·±=ŽŸ ­This–ÕXcoŸÓVEŽ‘ãxXŽ‘•macros“that“I‘|use“forŽŽŽŒ‹àn0 Šn ý‘ì«480–­INDEX’A²ù3DLDFPRÃŽG“·x«1517Ž €n ýý2Ÿ˜9formatting–ùthe“index“enš¸ãtries,‘"‰so“the“order“of“the“en˜tries“is“a“bit“pGeculiar.‘^EF‘ÿ*ªor“example,‘"‰È\cfunc{z}“«w˜ouldޤ come–'GbšGefore“È\ofunc{a}“«(È\cfunc“«is“for“class“functions,‘0}and“È\ofunc“«is“for“op˜erators“that“aren't“mem¸ãb˜ers“of“aŽ¡class).Ž¡‘ +This–9iGeneral“Public“License“došGes“not“p˜ermit“incorp˜orating“yš¸ãour“program“in˜to“proprietary“programs.‘$If“y˜ourަprogram–l·is“a“subroutine“library‘ÿ*ª,‘ryš¸ãou“ma˜y“consider“it“more“useful“to“pGermit“linking“proprietary“applicationsަwith–Cthe“library‘ÿ*ª.‘ZÁIf“this“is“what“yš¸ãou“w˜an˜t“to“do,‘use“the“GNU‘2Library“General“Public“License“instead“of“thisަLicense.ŽŸ·h›ª¨«GNU–UUGeneral“Public“License‘@­1524˜·i‘ǑDZ=·‘ÿý«This“section“con¸ãtains“no“¬C‘€Ÿÿ®+‘ÿ+ŽŽ‘œu«coGde.‘o·±=ŽŸ ­This–ÕXcoŸÓVEŽ‘ãxXŽ‘•macros“that“I‘|use“forŽŽŽŒ‹åy Šn ý‘ì·x«1525–­3DLDFPRÃŽG’A²ùINDEX“«485Ž €n ýý2Ÿ˜9formatting–ùthe“index“enš¸ãtries,‘"‰so“the“order“of“the“en˜tries“is“a“bit“pGeculiar.‘^EF‘ÿ*ªor“example,‘"‰È\cfunc{z}“«w˜ouldޤ come–'GbšGefore“È\ofunc{a}“«(È\cfunc“«is“for“class“functions,‘0}and“È\ofunc“«is“for“op˜erators“that“aren't“mem¸ãb˜ers“of“aŽ¡class).Ž¡‘ First–"‘come“the“index“enš¸ãtries“whic˜h“start“with“\??"›`Ûand“\!!".˜These“are“follo•¸ãw“ed›"‘b“y˜the˜non-opGerator˜classŽ¡memš¸ãbGer–ßfunctions“for“all“of“the“classes.‘J_Then“come“the“class“mem˜bšGer“op˜erators“for“all“of“the“classes,‘öÁfollo•¸ãw“edŽ¡bš¸ãy–æWthe“non-class“opGerators.‘$ÎCurren˜tly‘ÿ*ª,‘ ˜I'm“only“putting“index“en˜tries“in“b˜y“hand“where“the“class“mem˜bGerŽ¡functions–UUand“opGerators“are“declared.Ž¡‘ [¬LDF‘T2002.10.11.«]Ž‘Yq¢Another–¾¼problem“is“that“\Ïop–ÿ}'er“ator&Ž‘,칫"“and“\Ïop–ÿ}'er“ator&=Ž‘4H•«"“use“the“italic“ampGersand.‘­ûItŽ¡w¸ãould–UUbšGe“p˜ossible“to“ x“this,“but“slighš¸ãtly“tric˜ky‘ÿ*ª.‘qÇTO“DO:“Fix“this!ŽŽ Íé þ2‘²wÂBUG‘²>FIX«:‘ -15,–E²150,“173,“404,“549,“656,“658,ޤ ‘828,– ³1343,“1470.Ž© Â!!«:‘ -56,–®•60,“111,“112,“114,“122,“130,“148,“162,“163,Ž¡‘181,–Ò311,“404,“436,“458,“502,“503,“515,“528,“685,Ž¡‘791,–~l800,“863,“874,“893,“923,“1077,“1115,“1229,Ž¡‘1278,–<„1324,“1393,“1418,“1427,“1441,“1457,“1486.ަÂ!!‘÷¾BUG«:‘ +15,–E²150,“173,“404,“549,“656,“658,ޤ ‘828,– ³1348,“1475.Ž© Â!!«:‘ +56,–®•60,“111,“112,“114,“122,“130,“148,“162,“163,Ž¡‘181,–Ò311,“404,“436,“458,“502,“503,“515,“528,“685,Ž¡‘791,–~l800,“863,“874,“896,“926,“1080,“1120,“1234,Ž¡‘1283,–<„1329,“1398,“1423,“1432,“1446,“1462,“1491.ަÂ!!‘÷¾BUG«:‘ 379,–» 537,“677.ަÂ!!‘TKLUDGE«:‘ -16,–Va265,“272,“401,“431,“1459,“1509.ަÂ!!‘ „»LOOK‘M UP«:‘ +16,–Va265,“272,“401,“431,“1464,“1514.ަÂ!!‘ „»LOOK‘M UP«:‘ 397.ަÂ!!‘ úNOTE«:‘ -1275.ަÂ!!‘|åTO‘ŸñDO«:‘ -5,–1É6,“16,“21,“29,“31,“33,“138,“139,Ž¡‘181,–>l222,“264,“354,“379,“395,“397,“400,“401,Ž¡‘409,–>l431,“461,“463,“465,“547,“556,“557,“591,Ž¡‘603,–>l604,“643,“654,“686,“708,“720,“723,“742,Ž¡‘914,–¾l920,“945,“947,“949,“964,“992,“1021,“1056,Ž¡‘1084,–<„1128,“1158,“1160,“1169,“1221,“1225,“1226,Ž¡‘1257,–<„1278,“1281,“1289,“1298,“1323,“1374,“1393,Ž¡‘1424,–<„1426,“1441,“1445,“1451,“1454,“1457,“1459,Ž¡‘1472,–¢[1478,“1497,“1517.ަÂ!!‘ ŽUR®9GENT«:‘ +1280.ަÂ!!‘|åTO‘ŸñDO«:‘ +5,–1É6,“16,“21,“29,“31,“33,“138,“139,Ž¡‘181,–>l222,“264,“354,“379,“395,“397,“400,“401,Ž¡‘409,–>l431,“461,“463,“465,“547,“556,“557,“591,Ž¡‘603,–>l604,“643,“654,“686,“708,“720,“723,“742,Ž¡‘917,–¾l923,“948,“950,“952,“967,“995,“1024,“1059,Ž¡‘1082,–<„1089,“1133,“1163,“1165,“1174,“1226,“1230,Ž¡‘1231,–<„1262,“1283,“1286,“1294,“1303,“1328,“1379,Ž¡‘1398,–<„1429,“1431,“1446,“1450,“1456,“1459,“1462,Ž¡‘1464,–ö¶1477,“1483,“1502,“1516,“1525.ަÂ!!‘ ŽUR®9GENT«:‘ 26,‘Ä 656.ަÂ??«:‘ -16,–)Š114,“199,“310,“311,“486,“494,“546,“644,“656,Ž¡‘667,–ñS677,“686,“792,“839,“1033,“1034.ަÂCircleŽ‘c,«::ÏCir‘ÿ}'cleŽ‘ò«:‘ -1234,‘Ÿ–1237.ަÂCircleŽ‘c,«::Ïcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“cir‘ÿ}'cleŽ‘J N«:‘ -1242,‘Š1244.ަÂCircleŽ‘c,«::Ïget‘‰ffŽ‘®diameterŽ‘7þ±«:‘ -1256.ަÂCircleŽ‘c,«::Ïget‘‰ffŽ‘®r‘ÿ}'adiusŽ‘+ûß«:‘ -1255.ަÂCircleŽ‘c,«::Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘QŒß«:‘ -1258,–•1260,“1262.ަÂCircleŽ‘c,«::Ïis‘‰ffŽ‘®cir‘ÿ}'cularŽ‘-¥«:‘ -1253.ަÂCircleŽ‘c,«::ÏsetŽ‘ x„«:‘ -1239.ަÂColorŽ‘Ož«::ÏColorŽ‘¼Ã«:‘ +114,–Ù199,“310,“311,“486,“494,“546,“644,“656,Ž¡‘667,–ñS677,“686,“792,“839,“1036,“1037.ަÂCircleŽ‘c,«::ÏCir‘ÿ}'cleŽ‘ò«:‘ +1239,‘Ÿ–1242.ަÂCircleŽ‘c,«::Ïcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“cir‘ÿ}'cleŽ‘J N«:‘ +1247,‘Š1249.ަÂCircleŽ‘c,«::Ïget‘‰ffŽ‘®diameterŽ‘7þ±«:‘ +1261.ަÂCircleŽ‘c,«::Ïget‘‰ffŽ‘®r‘ÿ}'adiusŽ‘+ûß«:‘ +1260.ަÂCircleŽ‘c,«::Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘QŒß«:‘ +1263,–•1265,“1267.ަÂCircleŽ‘c,«::Ïis‘‰ffŽ‘®cir‘ÿ}'cularŽ‘-¥«:‘ +1258.ަÂCircleŽ‘c,«::ÏsetŽ‘ x„«:‘ +1244.ަÂColorŽ‘Ož«::ÏColorŽ‘¼Ã«:‘ 58,–zŸ60,“63,“68.ަÂColorŽ‘Ož«::Ïcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“c‘ÿ}'olorŽ‘HS"«:‘ 72.ަÂColorŽ‘Ož«::Ïde ne‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“mpŽ‘Dn«:‘ 105.ަÂColorŽ‘Ož«::Ïget‘‰ffŽ–®blue‘‰ffŽ“p‘ÿ}'artŽ‘7¶º«:‘ @@ -5883,39 +5969,39 @@ 82.Ž¡’ôà¤ÂColorŽ’0B«::ÏsetŽ‘ x„«:‘ 65,‘ž70.Ž¡’ôà¤ÂColorŽ’0B«::ÏshowŽ‘Šÿ«:‘ 92.Ž¡’ôà¤ÂCubQÇoidŽ’0>«::Ï~Cub‘ÿ}'oidŽ‘$Ž,«:‘ -1418.Ž¡’ôà¤ÂCubQÇoidŽ’0>«::Ïcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“cub‘ÿ}'oidŽ‘NŠô«:‘ -1416.Ž¡’ôà¤ÂCubQÇoidŽ’0>«::ÏCub‘ÿ}'oidŽ‘q¼«:‘ -1410,–!g1412,“1414.Ž¡’ôà¤ÂDoQÇdecahedronŽ’= 2«::ÏDo–ÿ}'de“c“ahe“dr“onŽ‘<“ë«:‘ -1451,‘¥l1454.Ž¡’ôà¤ÂDoQÇdecahedronŽ’= 2«::Ïdr‘ÿ}'aw‘‰ffŽ‘®netŽ‘'A“«:‘ -1459.Ž¡’ôà¤ÂDoQÇdecahedronŽ’= 2«::Ïget‘‰ffŽ‘®netŽ‘4È«:‘ -1457.Ž¡’ôà¤ÂEllipseŽ’É}«::Ï~El‘‚ØlipseŽ‘#¥J«:‘ -1113.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïangle‘‰ffŽ‘®p‘ÿ}'ointŽ‘1Y½«:‘ -1158.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“el‘‚ØlipseŽ‘N[«:‘ -1109,‘ëè1111.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïdotlab‘ÿ}'elŽ‘!ÿó«:‘ -1119.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïdr›ÿ}'aw‘‰ffŽ–®out‘‰ffŽ“r˜e˜ctangleŽ‘Q3 «:‘ -1217.Ž¡’ôà¤ÂEllipseŽ’É}«::ÏEl‘‚ØlipseŽ‘ˆÚ«:‘ -1101,‘ˆ-1104.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïget‘‰ffŽ–®axis‘‰ffŽ“hŽ‘+-I«:‘ -1154,‘^1156.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïget‘‰ffŽ–®axis‘‰ffŽ“vŽ‘*ùš«:‘ -1149,‘_91151.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ‘,=G«:‘ -1134,‘[1136.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïget‘‰ffŽ‘®c–ÿ}'o“ecientsŽ‘@ðr«:‘ -1131.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïget‘‰ffŽ‘®fo‘ÿ}'cusŽ‘'A‘«:‘ -1139,‘kw1141.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïin‘‰ffŽ‘®r–ÿ}'e“ctangleŽ‘3Ö*«:‘ -1215.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘QŒß«:‘ -1165,–‰›1167,“1169.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïis‘‰ffŽ‘®cubicŽ‘"%$«:‘ -1124.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïis‘‰ffŽ‘®el‘‚Øliptic‘ÿ}'alŽ‘0ì–«:‘ -1121.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïis‘‰ffŽ‘®quadr‘ÿ}'aticŽ‘3çô«:‘ -1123.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïis‘‰ffŽ‘®quarticŽ‘*1í«:‘ -1126.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïlab‘ÿ}'elŽ‘t˜«:‘ -1117.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïlo–ÿ}'c“ationŽ‘"Á}«:‘ -1162.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïout‘‰ffŽ‘®r–ÿ}'e“ctangleŽ‘8ò™«:‘ -1213.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïr‘ÿ}'otateŽ‘o>«:‘ -1191,–<¾1208,“1210.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïsc‘ÿ}'aleŽ‘´ò«:‘ -1193.Ž¡’ôà¤ÂEllipseŽ’É}«::ÏsetŽ‘ x„«:‘ -1106.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïshe‘ÿ}'arŽ‘4:«:‘ -1195.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïshift‘‰ffŽ‘®timesŽ‘.ì;«:‘ -1203,‘R:1205.Ž¡’ôà¤ÂEllipseŽ’É}«::ÏshiftŽ‘}«:‘ -1198,‘ªz1200.Ž¡’ôà¤ÂEllipseŽ’É}«::ÏsolveŽ‘7Ë«:‘ -1128.Ž¡’ôà¤ÂF‘ÿ +1423.Ž¡’ôà¤ÂCubQÇoidŽ’0>«::Ïcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“cub‘ÿ}'oidŽ‘NŠô«:‘ +1421.Ž¡’ôà¤ÂCubQÇoidŽ’0>«::ÏCub‘ÿ}'oidŽ‘q¼«:‘ +1415,–!g1417,“1419.Ž¡’ôà¤ÂDoQÇdecahedronŽ’= 2«::ÏDo–ÿ}'de“c“ahe“dr“onŽ‘<“ë«:‘ +1456,‘¥l1459.Ž¡’ôà¤ÂDoQÇdecahedronŽ’= 2«::Ïdr‘ÿ}'aw‘‰ffŽ‘®netŽ‘'A“«:‘ +1464.Ž¡’ôà¤ÂDoQÇdecahedronŽ’= 2«::Ïget‘‰ffŽ‘®netŽ‘4È«:‘ +1462.Ž¡’ôà¤ÂEllipseŽ’É}«::Ï~El‘‚ØlipseŽ‘#¥J«:‘ +1118.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïangle‘‰ffŽ‘®p‘ÿ}'ointŽ‘1Y½«:‘ +1163.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïcr–ÿ}'e“ate‘‰ffŽ–®new‘‰ffŽ“el‘‚ØlipseŽ‘N[«:‘ +1114,‘ëè1116.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïdotlab‘ÿ}'elŽ‘!ÿó«:‘ +1124.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïdr›ÿ}'aw‘‰ffŽ–®out‘‰ffŽ“r˜e˜ctangleŽ‘Q3 «:‘ +1222.Ž¡’ôà¤ÂEllipseŽ’É}«::ÏEl‘‚ØlipseŽ‘ˆÚ«:‘ +1106,‘ˆ-1109.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïget‘‰ffŽ–®axis‘‰ffŽ“hŽ‘+-I«:‘ +1159,‘^1161.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïget‘‰ffŽ–®axis‘‰ffŽ“vŽ‘*ùš«:‘ +1154,‘_91156.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ‘,=G«:‘ +1139,‘[1141.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïget‘‰ffŽ‘®c–ÿ}'o“ecientsŽ‘@ðr«:‘ +1136.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïget‘‰ffŽ‘®fo‘ÿ}'cusŽ‘'A‘«:‘ +1144,‘kw1146.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïin‘‰ffŽ‘®r–ÿ}'e“ctangleŽ‘3Ö*«:‘ +1220.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘QŒß«:‘ +1170,–‰›1172,“1174.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïis‘‰ffŽ‘®cubicŽ‘"%$«:‘ +1129.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïis‘‰ffŽ‘®el‘‚Øliptic‘ÿ}'alŽ‘0ì–«:‘ +1126.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïis‘‰ffŽ‘®quadr‘ÿ}'aticŽ‘3çô«:‘ +1128.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïis‘‰ffŽ‘®quarticŽ‘*1í«:‘ +1131.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïlab‘ÿ}'elŽ‘t˜«:‘ +1122.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïlo–ÿ}'c“ationŽ‘"Á}«:‘ +1167.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïout‘‰ffŽ‘®r–ÿ}'e“ctangleŽ‘8ò™«:‘ +1218.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïr‘ÿ}'otateŽ‘o>«:‘ +1196,–<¾1213,“1215.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïsc‘ÿ}'aleŽ‘´ò«:‘ +1198.Ž¡’ôà¤ÂEllipseŽ’É}«::ÏsetŽ‘ x„«:‘ +1111.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïshe‘ÿ}'arŽ‘4:«:‘ +1200.Ž¡’ôà¤ÂEllipseŽ’É}«::Ïshift‘‰ffŽ‘®timesŽ‘.ì;«:‘ +1208,‘R:1210.Ž¡’ôà¤ÂEllipseŽ’É}«::ÏshiftŽ‘}«:‘ +1203,‘ªz1205.Ž¡’ôà¤ÂEllipseŽ’É}«::ÏsolveŽ‘7Ë«:‘ +1133.Ž¡’ôà¤ÂF‘ÿ «oQÇcusŽ’Õð«::ÏF‘ÿ;¼o‘ÿ}'cusŽ‘¿š«:‘ 558,–Ñ560,“565.Ž¡’ôà¤ÂF‘ÿ «oQÇcusŽ’Õð«::Ïget‘‰ffŽ‘®dir–ÿ}'e“ctionŽ‘7,­«:‘ @@ -5927,7 +6013,7 @@ «oQÇcusŽ’Õð«::Ïget‘‰ffŽ‘®p‘ÿ}'erspŽ‘'ö«:‘ 583.Ž¡’ôà¤ÂF‘ÿ «oQÇcusŽ’Õð«::Ïget‘‰ffŽ‘®p‘ÿ}'ositionŽ‘3x«:‘ -576.ŽŽŽŽŽŒ‹áô Šn ý‘ì·x«1517–­3DLDFPRÃŽG’A²ùINDEX“«481Ž €n ý•@PÂF‘ÿ +576.ŽŽŽŽŽŒ‹æ‹C Šn ý‘ì«486–­INDEX’A²ù3DLDFPRÃŽG“·x«1525Ž €n ý•@PÂF‘ÿ «oQÇcusŽ‘õL«::Ïget‘‰ffŽ–®tr‘ÿ}'ansform‘‰ffŽ“elementŽ‘a=Å«:‘ 581.ޤ !àÂF‘ÿ «oQÇcusŽ‘õL«::Ïget‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘;æý«:‘ @@ -5940,13 +6026,13 @@ 562,‘ñ‘567.Ž¡ÂF‘ÿ «oQÇcusŽ‘õL«::ÏshowŽ‘Šÿ«:‘ 573.Ž¡ÂIcosahedronŽ‘<ØÏ«::Ïdr‘ÿ}'aw‘‰ffŽ‘®netŽ‘'A“«:‘ -1472.Ž¡ÂIcosahedronŽ‘<ØÏ«::Ïget‘‰ffŽ‘®netŽ‘4È«:‘ -1470.Ž¡ÂIcosahedronŽ‘<ØÏ«::ÏIc–ÿ}'osahe“dr“onŽ‘4H‘«:‘ -1465,‘çç1468.Ž¡ÂLabQÇelŽ‘Ac«::Ïget‘‰ffŽ‘®c‘ÿ}'opyŽ‘$ô«:‘ +1477.Ž¡ÂIcosahedronŽ‘<ØÏ«::Ïget‘‰ffŽ‘®netŽ‘4È«:‘ +1475.Ž¡ÂIcosahedronŽ‘<ØÏ«::ÏIc–ÿ}'osahe“dr“onŽ‘4H‘«:‘ +1470,‘çç1473.Ž¡ÂLabQÇelŽ‘Ac«::Ïget‘‰ffŽ‘®c‘ÿ}'opyŽ‘$ô«:‘ 471.Ž¡ÂLabQÇelŽ‘Ac«::ÏoutputŽ‘@«:‘ 472.Ž¡ÂLineŽ‘Xƒ«::Ïget‘‰ffŽ‘®distanc‘ÿ}'eŽ‘4y¹«:‘ 604.Ž¡ÂLineŽ‘Xƒ«::Ïget‘‰ffŽ‘®p‘ÿ}'athŽ‘#Ÿë«:‘ -602,‘¾h931.Ž¡ÂLineŽ‘Xƒ«::ÏLineŽ‘ÒÑ«:‘ +602,‘¾h934.Ž¡ÂLineŽ‘Xƒ«::ÏLineŽ‘ÒÑ«:‘ 595,‘ï!597.Ž¡ÂLineŽ‘Xƒ«::ÏshowŽ‘Šÿ«:‘ 608.Ž¡ÂP®9athŽ‘‘d«::Ï~PathŽ‘·Ž«:‘ 684.Ž¡ÂP®9athŽ‘‘d«::Ïalign‘‰ffŽ–®with‘‰ffŽ“axisŽ‘@²x«:‘ @@ -5964,18 +6050,18 @@ 806,‘¾g808.Ž¡ÂP®9athŽ‘‘d«::Ïget‘‰ffŽ‘®c‘ÿ}'opyŽ‘$ô«:‘ 688.Ž¡ÂP®9athŽ‘‘d«::Ïget‘‰ffŽ‘®extr‘ÿ}'emesŽ‘7D`«:‘ 845.Ž¡ÂP®9athŽ‘‘d«::Ïget‘‰ffŽ–®last‘‰ffŽ“p‘ÿ}'ointŽ‘:$>«:‘ -889.Ž¡ÂP®9athŽ‘‘d«::Ïget‘‰ffŽ–®line‘‰ffŽ“switchŽ‘?Ö}«:‘ +892.Ž¡ÂP®9athŽ‘‘d«::Ïget‘‰ffŽ–®line‘‰ffŽ“switchŽ‘?Ö}«:‘ 876.Ž¡ÂP®9athŽ‘‘d«::Ïget‘‰ffŽ‘®lineŽ‘!O«:‘ -929.Ž¡ÂP®9athŽ‘‘d«::Ïget‘‰ffŽ–®maximum‘‰ffŽ“zŽ‘Dm}«:‘ +932.Ž¡ÂP®9athŽ‘‘d«::Ïget‘‰ffŽ–®maximum‘‰ffŽ“zŽ‘Dm}«:‘ 848.Ž¡ÂP®9athŽ‘‘d«::Ïget‘‰ffŽ–®me‘ÿ}'an‘‰ffŽ“zŽ‘0¶ «:‘ 850.Ž¡ÂP®9athŽ‘‘d«::Ïget‘‰ffŽ–®minimum‘‰ffŽ“zŽ‘C]Ø«:‘ 846.Ž¡ÂP®9athŽ‘‘d«::Ïget‘‰ffŽ‘®normalŽ‘0Št«:‘ -893.Ž¡ÂP®9athŽ‘‘d«::Ïget‘‰ffŽ‘®planeŽ‘(vè«:‘ -899.Ž¡ÂP®9athŽ‘‘d«::Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«:‘ -887.Ž¡ÂP®9athŽ‘‘d«::Ïget‘‰ffŽ‘®sizeŽ‘!O«:‘ -891.Ž¡ÂP®9athŽ‘‘d«::Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ‘M–Ö«:‘ -917.Ž¡ÂP®9athŽ‘‘d«::Ïis‘‰ffŽ‘®cycleŽ‘!O«:‘ +896.Ž¡ÂP®9athŽ‘‘d«::Ïget‘‰ffŽ‘®planeŽ‘(vè«:‘ +902.Ž¡ÂP®9athŽ‘‘d«::Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«:‘ +888,‘ª·890.Ž¡ÂP®9athŽ‘‘d«::Ïget‘‰ffŽ‘®sizeŽ‘!O«:‘ +894.Ž¡ÂP®9athŽ‘‘d«::Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ‘M–Ö«:‘ +920.Ž¡ÂP®9athŽ‘‘d«::Ïis‘‰ffŽ‘®cycleŽ‘!O«:‘ 877.Ž¡ÂP®9athŽ‘‘d«::Ïis‘‰ffŽ‘®line‘ÿ}'arŽ‘%}«:‘ 874.Ž¡ÂP®9athŽ‘‘d«::Ïis‘‰ffŽ–®on‘‰ffŽ“fr–ÿ}'e“e‘‰ffŽ‘®stor“eŽ‘BzÕ«:‘ 871.Ž¡ÂP®9athŽ‘‘d«::Ïis‘‰ffŽ‘®planarŽ‘(&«:‘ @@ -5984,11 +6070,11 @@ 856.Ž¡ÂP®9athŽ‘‘d«::ÏPathŽ‘›«:‘ 660,– ¤663,“668,“673,“677.Ž¡ÂP®9athŽ‘‘d«::Ïpr–ÿ}'oje“ctŽ‘w«:‘ 742.Ž¡ÂP®9athŽ‘‘d«::Ïr‘ÿ}'everseŽ‘¬b«:‘ -908,‘Ä912.Ž¡ÂP®9athŽ‘‘d«::Ïr‘ÿ}'otateŽ‘o>«:‘ +911,‘Ä915.Ž¡ÂP®9athŽ‘‘d«::Ïr‘ÿ}'otateŽ‘o>«:‘ 713,–‹Û719,“721.Ž¡ÂP®9athŽ‘‘d«::Ïsc‘ÿ}'aleŽ‘´ò«:‘ 723.ŽŽ ý•@P’ôà¤ÂP®9athŽ’ r«::Ïset‘‰ffŽ‘®c–ÿ}'onne“ctorsŽ‘>å«:‘ 708.ޤ !à’ôà¤ÂP®9athŽ’ r«::Ïset‘‰ffŽ‘®cycleŽ‘&*«:‘ -905.Ž¡’ôà¤ÂP®9athŽ’ r«::Ïset‘‰ffŽ–®dash‘‰ffŽ“p‘ÿ}'atternŽ‘FÝ–«:‘ +908.Ž¡’ôà¤ÂP®9athŽ’ r«::Ïset‘‰ffŽ–®dash‘‰ffŽ“p‘ÿ}'atternŽ‘FÝ–«:‘ 704.Ž¡’ôà¤ÂP®9athŽ’ r«::Ïset‘‰ffŽ–®dr›ÿ}'aw‘‰ffŽ“c˜olorŽ‘>«:‘ 695,‘^?697.Ž¡’ôà¤ÂP®9athŽ’ r«::Ïset‘‰ffŽ‘®extr‘ÿ}'emesŽ‘6Á‰«:‘ 841.Ž¡’ôà¤ÂP®9athŽ’ r«::Ïset‘‰ffŽ–® l‘‚Øl‘‰ffŽ“c‘ÿ}'olorŽ‘5I:«:‘ @@ -6025,7 +6111,7 @@ 230.Ž¡’ôà¤ÂPlaneŽ’Â«::Ïget‘‰ffŽ‘®distanc‘ÿ}'eŽ‘4y¹«:‘ 633,‘ql635.Ž¡’ôà¤ÂPlaneŽ’Â«::Ïinterse‘ÿ}'ction‘‰ffŽ‘®lineŽ‘Gƒ¦«:‘ 643.Ž¡’ôà¤ÂPlaneŽ’Â«::Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ‘M–Ö«:‘ -919.Ž¡’ôà¤ÂPlaneŽ’Â«::ÏPlaneŽ‘ïB«:‘ +922.Ž¡’ôà¤ÂPlaneŽ’Â«::ÏPlaneŽ‘ïB«:‘ 619,–v621,“623.Ž¡’ôà¤ÂPlaneŽ’Â«::ÏshowŽ‘Šÿ«:‘ 645.Ž¡’ôà¤ÂP•®9oin“tŽ’zì«::Ï~PointŽ‘yë«:‘ 297.Ž¡’ôà¤ÂP•®9oin“tŽ’zì«::ÏangleŽ‘ÀS«:‘ @@ -6038,7 +6124,7 @@ 466,‘²s468.Ž¡’ôà¤ÂP•®9oin“tŽ’zì«::Ïdr‘ÿ}'aw‘‰ffŽ‘®helpŽ‘*Ũ«:‘ 428,– 429,“798,“799.Ž¡’ôà¤ÂP•®9oin“tŽ’zì«::Ïdr‘ÿ}'awŽ‘(Û«:‘ 419,–H0420,“780,“781.Ž¡’ôà¤ÂP•®9oin“tŽ’zì«::Ïdr–ÿ}'awarr“owŽ‘.òÄ«:‘ -422,–ø¢423,“789,“790.ŽŽŽŽŽŒ‹â›o Šn ý‘ì«482–­INDEX’A²ù3DLDFPRÃŽG“·x«1517Ž €n ý•@PÂP•®9oin“tŽ‘šH«::Ïdr‘ÿ}'awdotŽ‘#“«:‘ +422,–ø¢423,“789,“790.ŽŽŽŽŽŒ‹ç¦Æ Šn ý‘ì·x«1525–­3DLDFPRÃŽG’A²ùINDEX“«487Ž €n ý•@PÂP•®9oin“tŽ‘šH«::Ïdr‘ÿ}'awdotŽ‘#“«:‘ 410,‘­B412.ޤ !àÂP•®9oin“tŽ‘šH«::ÏepsilonŽ‘o«:‘ 308.Ž¡ÂP•®9oin“tŽ‘šH«::Ïextr‘ÿ}'actŽ‘Âo«:‘ 442.Ž¡ÂP•®9oin“tŽ‘šH«::Ïget‘‰ffŽ–®al‘‚Øl‘‰ffŽ“c–ÿ}'o“or“dsŽ‘:§«:‘ @@ -6050,7 +6136,7 @@ «:‘ 449.Ž¡ÂP•®9oin“tŽ‘šH«::Ïget‘‰ffŽ–®minimum‘‰ffŽ“zŽ‘C]Ø«:‘ 445.Ž¡ÂP•®9oin“tŽ‘šH«::Ïget‘‰ffŽ‘®normalŽ‘0Št«:‘ -513,‘‚•898.Ž¡ÂP•®9oin“tŽ‘šH«::Ïget‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘;æý«:‘ +513,‘‚•901.Ž¡ÂP•®9oin“tŽ‘šH«::Ïget‘‰ffŽ‘®tr‘ÿ}'ansformŽ‘;æý«:‘ 341.Ž¡ÂP•®9oin“tŽ‘šH«::Ïget‘‰ffŽ‘®wŽ‘o«:‘ 337,‘Ñð339.Ž¡ÂP•®9oin“tŽ‘šH«::Ïget‘‰ffŽ‘®xŽ‘Žg«:‘ 322,‘Ø324.Ž¡ÂP•®9oin“tŽ‘šH«::Ïget‘‰ffŽ‘®yŽ‘t«:‘ @@ -6064,7 +6150,8 @@ 356.Ž¡ÂP•®9oin“tŽ‘šH«::Ïis‘‰ffŽ–®on‘‰ffŽ“se‘ÿ}'gmentŽ‘=5O«:‘ 349,‘Xâ352.Ž¡ÂP•®9oin“tŽ‘šH«::Ïlab‘ÿ}'elŽ‘t˜«:‘ 461,‘ß 463.Ž¡ÂP•®9oin“tŽ‘šH«::ÏmagnitudeŽ‘.=r«:‘ -502.Ž¡ÂP•®9oin“tŽ‘šH«::ÏoutputŽ‘@«:‘ +502.Ž¡ÂP•®9oin“tŽ‘šH«::Ïme‘ÿ}'diateŽ‘"½u«:‘ +511.Ž¡ÂP•®9oin“tŽ‘šH«::ÏoutputŽ‘@«:‘ 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+1355,‘Æ01357.Ž¡ÂSolidŽ‘}׫::ÏshowŽ‘Šÿ«:‘ +1341.Ž¡ÂSolidŽ‘}׫::ÏSolidޑӫ:‘ +1299,‘¼§1301.Ž¡ÂSolidŽ‘}׫::Ïsuppr‘ÿ}'ess‘‰ffŽ‘®outputŽ‘Dæ‚«:‘ +1375.Ž¡ÂSolidŽ‘}׫::Ïundr‘ÿ}'awŽ‘!%ÿ«:‘ +1392.Ž¡ÂSolidŽ‘}׫::Ïun l‘‚ØlŽ‘Ç«:‘ +1395.Ž¡ÂSolidŽ‘}׫::Ïun l‘‚Øldr‘ÿ}'awŽ‘,d«:‘ +1398.Ž¡ÂSolidŽ‘}׫::Ïunsuppr‘ÿ}'ess‘‰ffŽ‘®outputŽ‘O㦫:‘ +1377.Ž¡ÂT‘ÿ «etrahedronŽ‘>œ«::Ïdr‘ÿ}'aw‘‰ffŽ‘®netŽ‘'A“«:‘ -1445.Ž¡ÂT‘ÿ +1450.Ž¡ÂT‘ÿ «etrahedronŽ‘>œ«::Ïget‘‰ffŽ‘®netŽ‘4È«:‘ -1443.Ž¡ÂT‘ÿ +1448.Ž¡ÂT‘ÿ «etrahedronŽ‘>œ«::ÏsetŽ‘ x„«:‘ -1441.Ž¡ÂT‘ÿ +1446.Ž¡ÂT‘ÿ «etrahedronŽ‘>œ«::ÏT‘ÿ;¼etr–ÿ}'ahe“dr“onŽ‘5'Ø«:‘ -1434,‘ß;1437.Ž¡ÂT‘ÿ +1439,‘ß;1442.Ž¡ÂT‘ÿ «ransformŽ‘4s}«::Ïalign‘‰ffŽ–®with‘‰ffŽ“axisŽ‘@²x«:‘ 168,‘û™379.Ž¡ÂT‘ÿ «ransformŽ‘4s}«::Ïcle‘ÿ}'anŽ‘A‚«:‘ @@ -6197,24 +6285,24 @@ «ransformŽ‘4s}«::ÏT‘ÿ;¼r‘ÿ}'ansformŽ‘.ÄQ«:‘ 124,–ï&126,“128.Ž¡ÂT‘ÿ «runcu½‰™šs4Ž‘ÔwOctahedronŽ‘]Ϊ«::Ïget‘‰ffŽ‘®netŽ‘4È«:‘ -1484.Ž¡ÂT‘ÿ +1489.Ž¡ÂT‘ÿ «runcu½‰™šs4Ž‘ÔwOctahedronŽ‘]Ϊ«::ÏT‘ÿ;¼runc‘‰ffŽ‘®Octahe–ÿ}'dr“onŽ‘Pš'«:‘ -1479,ŽŸ 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-656.ŽŽ ý•@P’ôà¤ÂP®9athŽ’ r«::Ïop–ÿ}'er“ator&=Ž‘4H•«:‘ -762.ޤ &e’ôà¤ÂP®9athŽ’ r«::Ïop–ÿ}'er“ator&Ž‘,칫:‘ +756.ŽŽ ý•@P’ôà¤ÂP®9athŽ’ r«::Ïop–ÿ}'er“ator==Ž‘4H•«:‘ +917.ޤ %’ôà¤ÂP®9athŽ’ r«::Ïop–ÿ}'er“ator=Ž‘,í«:‘ +656.Ž¡’ôà¤ÂP®9athŽ’ r«::Ïop–ÿ}'er“ator&=Ž‘4H•«:‘ +762.Ž¡’ôà¤ÂP®9athŽ’ r«::Ïop–ÿ}'er“ator&Ž‘,칫:‘ 767.Ž¡’ôà¤ÂPictureŽ’|±«::Ïop–ÿ}'er“ator*=Ž‘1º]«:‘ 246.Ž¡’ôà¤ÂPictureŽ’|±«::Ïop–ÿ}'er“ator+=Ž‘4H•«:‘ 224,–Çd225,“227,“545.Ž¡’ôà¤ÂPictureŽ’|±«::Ïop–ÿ}'er“ator=Ž‘,í«:‘ @@ -6230,11 +6318,11 @@ 496.Ž¡’ôà¤ÂP•®9oin“tŽ’zì«::Ïop–ÿ}'er“ator==Ž‘4H•«:‘ 515,–-ú516,“523.Ž¡’ôà¤ÂP•®9oin“tŽ’zì«::Ïop–ÿ}'er“ator=Ž‘,í«:‘ 299.Ž¡’ôà¤ÂP®9olygonŽ’å’«::Ïop–ÿ}'er“ator*=Ž‘1º]«:‘ -998.Ž¡’ôà¤ÂRectangleŽ’' 9«::Ïop–ÿ}'er“ator=Ž‘,í«:‘ -1076.Ž¡’ôà¤ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ’6_X«::Ïop–ÿ}'er“ator=Ž‘,í«:‘ -1023.Ž¡’ôà¤ÂSolidŽ’^{«::Ïop–ÿ}'er“ator*=Ž‘1º]«:‘ -1341.Ž¡’ôà¤ÂSolidŽ’^{«::Ïop–ÿ}'er“ator=Ž‘,í«:‘ -1302.Ž¡’ôà¤ÂT‘ÿ +1001.Ž¡’ôà¤ÂRectangleŽ’' 9«::Ïop–ÿ}'er“ator=Ž‘,í«:‘ 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-Ž“,‘n179Ž‘nŸ™”‰feŽ–q,‘n270Ž‘nŸ™”‰feŽ“,‘n292Ž‘nŸ™”‰feŽ“,‘n294Ž‘nŸ™”‰feŽ“,‘n296Ž‘nŸ™”‰feŽ“,‘n346Ž‘nŸ™”‰feŽ“,‘n353Ž‘nŸ™”‰feŽ“,ޤ ’à¦389Ž’ট™”‰feŽ’à©,‘>l393Ž‘>lŸ™”‰feŽ–>o,‘>l395Ž‘>lŸ™”‰feŽ“,‘>l478Ž‘>lŸ™”‰feŽ“,‘>l482Ž‘>lŸ™”‰feŽ“,‘>l489Ž‘>lŸ™”‰feŽ“,‘>l493Ž‘>lŸ™”‰feŽ“,‘>l497Ž‘>lŸ™”‰feŽ“,‘>l499Ž‘>lŸ™”‰feŽ“,Ž¡’à¦501Ž’ট™”‰feŽ’à©,‘>l503Ž‘>lŸ™”‰feŽ–>o,‘>l510Ž‘>lŸ™”‰feŽ“,‘>l516Ž‘>lŸ™”‰feŽ“,‘>l681Ž‘>lŸ™”‰feŽ“,‘>l683Ž‘>lŸ™”‰feŽ“,‘>l879Ž‘>lŸ™”‰feŽ“,‘>l880Ž‘>lŸ™”‰feŽ“,‘>l886Ž‘>lŸ™”‰feŽ“,Ž¡’à¦887Ž’ট™”‰feŽ’à©,‘k+888Ž‘k+Ÿ™”‰feŽ‘k.,‘k+1122Ž‘k+Ÿ™”‰feŽ–k/,‘k+1178Ž‘k+Ÿ™”‰feŽ“,‘k+1263Ž‘k+Ÿ™”‰feŽ“.ޤ &e’ôà¤Ïa‘‰ffŽ–®m‘‰ffŽ“c–ÿ}'o“or“dŽ’!¯î«:‘ +Ž“,‘n179Ž‘nŸ™”‰feŽ–q,‘n270Ž‘nŸ™”‰feŽ“,‘n292Ž‘nŸ™”‰feŽ“,‘n294Ž‘nŸ™”‰feŽ“,‘n296Ž‘nŸ™”‰feŽ“,‘n346Ž‘nŸ™”‰feŽ“,‘n353Ž‘nŸ™”‰feŽ“,ޤ ’à¦389Ž’ট™”‰feŽ’à©,‘Ò393Ž‘ÒŸ™”‰feŽ–Õ,‘Ò395Ž‘ÒŸ™”‰feŽ“,‘Ò478Ž‘ÒŸ™”‰feŽ“,‘Ò482Ž‘ÒŸ™”‰feŽ“,‘Ò489Ž‘ÒŸ™”‰feŽ“,‘Ò493Ž‘ÒŸ™”‰feŽ“,‘Ò497Ž‘ÒŸ™”‰feŽ“,‘Ò499Ž‘ÒŸ™”‰feŽ“,‘Ò501Ž‘ÒŸ™”‰feŽ“,Ž¡’à¦503Ž’ট™”‰feŽ’à©,‘>l510Ž‘>lŸ™”‰feŽ–>o,‘>l516Ž‘>lŸ™”‰feŽ“,‘>l681Ž‘>lŸ™”‰feŽ“,‘>l683Ž‘>lŸ™”‰feŽ“,‘>l879Ž‘>lŸ™”‰feŽ“,‘>l880Ž‘>lŸ™”‰feŽ“,‘>l886Ž‘>lŸ™”‰feŽ“,‘>l888Ž‘>lŸ™”‰feŽ“,Ž¡’à¦889Ž’ট™”‰feŽ’à©,‘Òd890Ž‘ÒdŸ™”‰feŽ–Òg,‘Òd891Ž‘ÒdŸ™”‰feŽ“,‘Òd1083Ž‘ÒdŸ™”‰feŽ–Òh,‘Òd1127Ž‘ÒdŸ™”‰feŽ“,‘Òd1183Ž‘ÒdŸ™”‰feŽ“,‘Òd1268Ž‘ÒdŸ™”‰feŽ“.ޤ %’ôà¤Ïa‘‰ffŽ–®m‘‰ffŽ“c–ÿ}'o“or“dŽ’!¯î«:‘ 346Ž‘ Ÿ™”‰feŽ‘,‘ü347.Ž¡’ôà¤Ïa‘‰ffŽ–®n‘‰ffŽ“c–ÿ}'o“or“dŽ’!¶«:‘ 346Ž‘ @@ -6268,86 +6356,87 @@ Ÿ™”‰feŽ‘.Ž¡’ôà¤Ïa‘‰ffŽ‘®zŽ’l«:‘ 606Ž‘ Ÿ™”‰feŽ‘.Ž¡’ôà¤ÏaaŽ’`Á«:‘ -1178Ž‘ +1183Ž‘ Ÿ™”‰feŽ‘.Ž¡’ôà¤Ïaarr‘ÿ}'owŽ’]d«:‘ 419Ž‘ Ÿ™”‰feŽ‘,‘ƒY420Ž‘ƒYŸ™”‰feŽ–ƒ\,‘ƒY775Ž‘ƒYŸ™”‰feŽ“,‘ƒY776Ž‘ƒYŸ™”‰feŽ“,‘ƒY777Ž‘ƒYŸ™”‰feŽ“,‘ƒY778Ž‘ƒYŸ™”‰feŽ“,‘ƒY780Ž‘ƒYŸ™”‰feŽ“,‘ƒY781Ž‘ƒYŸ™”‰feŽ“.Ž¡’ôà¤Ïaaxis‘‰ffŽ‘®hŽ’ö¡«:‘ -1061Ž‘ -Ÿ™”‰feŽ‘,‘ç1062Ž‘çŸ™”‰feŽ–ç,‘ç1063Ž‘çŸ™”‰feŽ“,‘ç1064Ž‘çŸ™”‰feŽ“,‘ç1104Ž‘çŸ™”‰feŽ“,‘ç1105Ž‘çŸ™”‰feŽ“,Ž© ’à¦1106Ž’ট™”‰feŽ’àª,‘VÕ1107Ž‘VÕŸ™”‰feŽ‘VÙ.Ž¡’ôà¤Ïaaxis‘‰ffŽ‘®vŽ’Âò«:‘ -1061Ž‘ -Ÿ™”‰feŽ‘,‘ê$1062Ž‘ê$Ÿ™”‰feŽ–ê(,‘ê$1063Ž‘ê$Ÿ™”‰feŽ“,‘ê$1064Ž‘ê$Ÿ™”‰feŽ“,‘ê$1104Ž‘ê$Ÿ™”‰feŽ“,‘ê$1105Ž‘ê$Ÿ™”‰feŽ“,ަ’à¦1106Ž’ট™”‰feŽ’àª,‘VÕ1107Ž‘VÕŸ™”‰feŽ‘VÙ.Ž¡’ôà¤ÏabsŽ’f«:‘ -1279.Ž¡’ôà¤Ïac‘ÿ}'osŽ’›ý«:‘ -505.Ž¡’ôà¤Ïalign‘‰ffŽ–®with‘‰ffŽ“axisŽ’5“«:‘ +1064Ž‘ +Ÿ™”‰feŽ‘,‘ç1065Ž‘çŸ™”‰feŽ–ç,‘ç1066Ž‘çŸ™”‰feŽ“,‘ç1067Ž‘çŸ™”‰feŽ“,‘ç1109Ž‘çŸ™”‰feŽ“,‘ç1110Ž‘çŸ™”‰feŽ“,Ž© ’à¦1111Ž’ট™”‰feŽ’àª,‘VÕ1112Ž‘VÕŸ™”‰feŽ‘VÙ.Ž¡’ôà¤Ïaaxis‘‰ffŽ‘®vŽ’Âò«:‘ +1064Ž‘ +Ÿ™”‰feŽ‘,‘ê$1065Ž‘ê$Ÿ™”‰feŽ–ê(,‘ê$1066Ž‘ê$Ÿ™”‰feŽ“,‘ê$1067Ž‘ê$Ÿ™”‰feŽ“,‘ê$1109Ž‘ê$Ÿ™”‰feŽ“,‘ê$1110Ž‘ê$Ÿ™”‰feŽ“,ަ’à¦1111Ž’ট™”‰feŽ’àª,‘VÕ1112Ž‘VÕŸ™”‰feŽ‘VÙ.Ž¡’ôà¤ÏabsŽ’f«:‘ +1284.Ž¡’ôà¤Ïac‘ÿ}'osŽ’›ý«:‘ +505.ŽŽŽŽŽŒ‹éäs Šn ý‘ì·x«1525–­3DLDFPRÃŽG’A²ùINDEX“«489Ž €n ý•@PÏalign‘‰ffŽ–®with‘‰ffŽ“axisŽ‘@²x«:‘ 168Ž‘ -Ÿ™”‰feŽ‘,‘f264Ž‘fŸ™”‰feŽ›i,–f379,“380Ž“Ÿ™”‰feŽ˜,“395,“561,“572,ަ’à¦747Ž’ট™”‰feŽ’à©,‘þl748Ž‘þlŸ™”‰feŽ–þo,‘þl749Ž‘þlŸ™”‰feŽ“,‘þl750Ž‘þlŸ™”‰feŽ“,‘þl751Ž‘þlŸ™”‰feŽ“,‘þl752Ž‘þlŸ™”‰feŽ“,–þl946,“950,“1122,ŽŽŽŽŽŒ‹äÙs Šn ý‘ì«484–­INDEX’A²ù3DLDFPRÃŽG“·x«1517Ž €n ý•@P‘1177,–ö¶1223,“1224,“1265,“1269,“1454.ޤ BsÏangŽ‘º¦«:‘ -559,‘ļ560Ž‘ļŸ™”‰feŽ–Ä¿,‘ļ561Ž‘ļŸ™”‰feŽ“,‘ļ562Ž‘ļŸ™”‰feŽ“,‘ļ563Ž‘ļŸ™”‰feŽ“,‘ļ565Ž‘ļŸ™”‰feŽ“,‘ļ566Ž‘ļŸ™”‰feŽ“,‘ļ567Ž‘ļŸ™”‰feŽ“,‘ļ568Ž‘ļŸ™”‰feŽ“,Ž© ‘571Ž‘Ÿ™”‰feŽ‘#,‘Ò572Ž‘ÒŸ™”‰feŽ–Ò‚,‘Ò954Ž‘ÒŸ™”‰feŽ“,‘Ò1122Ž‘ÒŸ™”‰feŽ‘Òƒ.Ž¡ÏangleŽ‘ÀS«:‘ +Ÿ™”‰feŽ‘,‘f264Ž‘fŸ™”‰feŽ›i,–f379,“380Ž“Ÿ™”‰feŽ˜,“395,“561,“572,ޤ ‘747Ž‘Ÿ™”‰feŽ‘#,‘þl748Ž‘þlŸ™”‰feŽ–þo,‘þl749Ž‘þlŸ™”‰feŽ“,‘þl750Ž‘þlŸ™”‰feŽ“,‘þl751Ž‘þlŸ™”‰feŽ“,‘þl752Ž‘þlŸ™”‰feŽ“,–þl949,“953,“1127,Ž¡‘1182,–ö¶1228,“1229,“1270,“1274,“1459.Ž© GýÏangŽ‘º¦«:‘ +559,‘ļ560Ž‘ļŸ™”‰feŽ–Ä¿,‘ļ561Ž‘ļŸ™”‰feŽ“,‘ļ562Ž‘ļŸ™”‰feŽ“,‘ļ563Ž‘ļŸ™”‰feŽ“,‘ļ565Ž‘ļŸ™”‰feŽ“,‘ļ566Ž‘ļŸ™”‰feŽ“,‘ļ567Ž‘ļŸ™”‰feŽ“,‘ļ568Ž‘ļŸ™”‰feŽ“,Ž¡‘571Ž‘Ÿ™”‰feŽ‘#,‘Ò572Ž‘ÒŸ™”‰feŽ–Ò‚,‘Ò957Ž‘ÒŸ™”‰feŽ“,‘Ò1127Ž‘ÒŸ™”‰feŽ‘Òƒ.ަÏangleŽ‘ÀS«:‘ 166Ž‘ -Ÿ™”‰feŽ‘,‘jÚ167Ž‘jÚŸ™”‰feŽ–jÝ,‘jÚ243Ž‘jÚŸ™”‰feŽ“,‘jÚ380Ž‘jÚŸ™”‰feŽ“,–jÚ382,“384,“385,“386,“387,ަ‘391,‘>l392Ž‘>lŸ™”‰feŽ–>o,‘>l393Ž‘>lŸ™”‰feŽ“,‘>l394Ž‘>lŸ™”‰feŽ“,‘>l395Ž‘>lŸ™”‰feŽ“,‘>l396Ž‘>lŸ™”‰feŽ“,‘>l504Ž‘>lŸ™”‰feŽ“,‘>l505Ž‘>lŸ™”‰feŽ“,‘>l556Ž‘>lŸ™”‰feŽ“,ަ‘557,–>l559,“561,“570,“572,“574,“716Ž“Ÿ™”‰feŽ›>o,“717Ž“Ÿ™”‰feŽ˜,“719Ž“Ÿ™”‰feŽ˜,ަ‘720Ž‘Ÿ™”‰feŽ‘#,‘>l721Ž‘>lŸ™”‰feŽ–>o,‘>l722Ž‘>lŸ™”‰feŽ“,‘>l947Ž‘>lŸ™”‰feŽ“,‘>l948Ž‘>lŸ™”‰feŽ“,–>l950,“954,“964Ž“Ÿ™”‰feŽ›>o,“965Ž“Ÿ™”‰feŽ˜,ަ‘966Ž‘Ÿ™”‰feŽ‘#,‘Òí967Ž‘Òퟙ”‰feŽ‘Òð,‘Òí1003Ž‘Òퟙ”‰feŽ–Òñ,‘Òí1004Ž‘Òퟙ”‰feŽ“,‘Òí1005Ž‘Òퟙ”‰feŽ“,‘Òí1006Ž‘Òퟙ”‰feŽ“,–Òí1122,“1158Ž“Ÿ™”‰feŽ‘Òñ,ަ‘1159Ž‘Ÿ™”‰feŽ‘(,‘<„1208Ž‘<„Ÿ™”‰feŽ–<ˆ,‘<„1209Ž‘<„Ÿ™”‰feŽ“,‘<„1210Ž‘<„Ÿ™”‰feŽ“,‘<„1211Ž‘<„Ÿ™”‰feŽ“,‘<„1223Ž‘<„Ÿ™”‰feŽ“,‘<„1224Ž‘<„Ÿ™”‰feŽ“,‘<„1356Ž‘<„Ÿ™”‰feŽ“,ަ‘1357Ž‘Ÿ™”‰feŽ‘(,‘Kx1438Ž‘KxŸ™”‰feŽ–K|,‘Kx1455Ž‘KxŸ™”‰feŽ“,–Kx1456,“1469Ž“Ÿ™”‰feŽ‘K|.Ž¡Ïangle‘‰ffŽ–®h‘‰ffŽ“hŽ‘)Ya«:‘ -1483Ž‘ -Ÿ™”‰feŽ‘.Ž¡Ïangle‘‰ffŽ–®h‘‰ffŽ“sŽ‘(ao«:‘ -1483Ž‘ -Ÿ™”‰feŽ‘.Ž¡Ïangle‘‰ffŽ–®hex‘‰ffŽ“hexŽ‘l392Ž‘>lŸ™”‰feŽ–>o,‘>l393Ž‘>lŸ™”‰feŽ“,‘>l394Ž‘>lŸ™”‰feŽ“,‘>l395Ž‘>lŸ™”‰feŽ“,‘>l396Ž‘>lŸ™”‰feŽ“,‘>l504Ž‘>lŸ™”‰feŽ“,‘>l505Ž‘>lŸ™”‰feŽ“,‘>l556Ž‘>lŸ™”‰feŽ“,Ž¡‘557,–>l559,“561,“570,“572,“574,“716Ž“Ÿ™”‰feŽ›>o,“717Ž“Ÿ™”‰feŽ˜,“719Ž“Ÿ™”‰feŽ˜,Ž¡‘720Ž‘Ÿ™”‰feŽ‘#,‘>l721Ž‘>lŸ™”‰feŽ–>o,‘>l722Ž‘>lŸ™”‰feŽ“,‘>l950Ž‘>lŸ™”‰feŽ“,‘>l951Ž‘>lŸ™”‰feŽ“,–>l953,“957,“967Ž“Ÿ™”‰feŽ›>o,“968Ž“Ÿ™”‰feŽ˜,Ž¡‘969Ž‘Ÿ™”‰feŽ‘#,‘Òí970Ž‘Òퟙ”‰feŽ‘Òð,‘Òí1006Ž‘Òퟙ”‰feŽ–Òñ,‘Òí1007Ž‘Òퟙ”‰feŽ“,‘Òí1008Ž‘Òퟙ”‰feŽ“,‘Òí1009Ž‘Òퟙ”‰feŽ“,–Òí1083,“1127,Ž¡‘1163Ž‘Ÿ™”‰feŽ‘(,‘<„1164Ž‘<„Ÿ™”‰feŽ–<ˆ,‘<„1213Ž‘<„Ÿ™”‰feŽ“,‘<„1214Ž‘<„Ÿ™”‰feŽ“,‘<„1215Ž‘<„Ÿ™”‰feŽ“,‘<„1216Ž‘<„Ÿ™”‰feŽ“,‘<„1228Ž‘<„Ÿ™”‰feŽ“,‘<„1229Ž‘<„Ÿ™”‰feŽ“,Ž¡‘1361Ž‘Ÿ™”‰feŽ‘(,‘ö¶1362Ž‘ö¶Ÿ™”‰feŽ–öº,‘ö¶1443Ž‘ö¶Ÿ™”‰feŽ“,‘ö¶1460Ž‘ö¶Ÿ™”‰feŽ“,–ö¶1461,“1474Ž“Ÿ™”‰feŽ‘öº.ަÏangle‘‰ffŽ–®h‘‰ffŽ“hŽ‘)Ya«:‘ +1488Ž‘ +Ÿ™”‰feŽ‘.ަÏangle‘‰ffŽ–®h‘‰ffŽ“sŽ‘(ao«:‘ +1488Ž‘ +Ÿ™”‰feŽ‘.ަÏangle‘‰ffŽ–®hex‘‰ffŽ“hexŽ‘l436,“443,“451,“457,“463,“472,“476,“478,ަ‘480,–>l482,“484,“486,“489,“493,“495,“497,“499,ަ‘501,–>l503,“508,“512,“529,“531,“549,“561,“572,ަ‘596,–>l597,“598,“624,“732,“740Ž“Ÿ™”‰feŽ›>o,“741Ž“Ÿ™”‰feŽ˜,“839,“887,ަ‘901,–K976,“978,“1030,“1062,“1105,“1135,“1137,ަ‘1140,–ö¶1142,“1238,“1343Ž“Ÿ™”‰feŽ›öº,“1344Ž“Ÿ™”‰feŽ˜,“1360.Ž¡Ïar‘ÿ}'c‘‰ffŽ‘®divisionsŽ‘8@ «:‘ -1281Ž‘ -Ÿ™”‰feŽ‘,‘1282Ž‘Ÿ™”‰feŽ–,‘1284Ž‘Ÿ™”‰feŽ“,‘1285Ž‘Ÿ™”‰feŽ“.Ž¡Ïar‘ÿ}'gŽ‘Ïú«:‘ +Ÿ™”‰feŽ‘,–ëö305,“313,“318,“346,“350,“374,Ž¡‘379,–Ò380,“381,“385,“389,“395,“397,“399,“404Ž“Ÿ™”‰feŽ›Õ,“405Ž“Ÿ™”‰feŽ˜,Ž¡‘431,–Ò436,“443,“451,“457,“463,“472,“476,“478,“480,Ž¡‘482,–>l484,“486,“489,“493,“495,“497,“499,“501,Ž¡‘503,–>l508,“529,“531,“549,“561,“572,“596,“597,Ž¡‘598,–>l624,“732,“740Ž“Ÿ™”‰feŽ›>o,“741Ž“Ÿ™”‰feŽ˜,“839,“888,“889,“891,Ž¡‘904,–K979,“981,“1033,“1065,“1110,“1140,“1142,Ž¡‘1145,–ö¶1147,“1243,“1348Ž“Ÿ™”‰feŽ›öº,“1349Ž“Ÿ™”‰feŽ˜,“1365.ަÏar‘ÿ}'c‘‰ffŽ‘®divisionsŽ‘8@ «:‘ +1286Ž‘ +Ÿ™”‰feŽ‘,‘1287Ž‘Ÿ™”‰feŽ–,‘1289Ž‘Ÿ™”‰feŽ“,‘1290Ž‘Ÿ™”‰feŽ“.ަÏar‘ÿ}'gŽ‘Ïú«:‘ 270Ž‘ -Ÿ™”‰feŽ‘.Ž¡Ïar‘ÿ}'g‘‰ffŽ‘®ptrŽ‘U}«:‘ +Ÿ™”‰feŽ‘.ަÏar‘ÿ}'g‘‰ffŽ‘®ptrŽ‘U}«:‘ 669Ž‘ -Ÿ™”‰feŽ‘,‘(a671Ž‘(aŸ™”‰feŽ‘(d.Ž¡Ïar‘ÿ}'gcŽ‘Ê«:‘ -1503,‘/Â1509Ž‘/Ÿ™”‰feŽ‘/Æ.Ž¡Ïar‘ÿ}'gumentŽ‘)÷ «:‘ +Ÿ™”‰feŽ‘,‘(a671Ž‘(aŸ™”‰feŽ‘(d.ަÏar‘ÿ}'gcŽ‘Ê«:‘ +1508,‘/Â1514Ž‘/Ÿ™”‰feŽ‘/Æ.ަÏar‘ÿ}'gumentŽ‘)÷ «:‘ 556Ž‘ -Ÿ™”‰feŽ‘.Ž¡Ïar‘ÿ}'gvŽ‘š¡«:‘ -1503,‘Ó51509Ž‘Ó5Ÿ™”‰feŽ‘Ó9,‘Ó51511.Ž¡Ïarr‘ÿ}'owŽ‘`P«:‘ +Ÿ™”‰feŽ‘.ަÏar‘ÿ}'gvŽ‘š¡«:‘ +1508,‘Ó51514Ž‘Ó5Ÿ™”‰feŽ‘Ó9,‘Ó51519.ަÏarr‘ÿ}'owŽ‘`P«:‘ 654Ž‘ -Ÿ™”‰feŽ‘,–e658,“661,“664,“666,“669,“671,“674,ަ‘676,–T£776,“856,“859,“861,“863.Ž¡ÏasctimeŽ‘":ž«:‘ -43.Ž¡ÏasinŽ‘*Å«:‘ -1463.Ž¡ÏassignŽ‘Û«:‘ +Ÿ™”‰feŽ‘,–e658,“661,“664,“666,“669,“671,“674,Ž¡‘676,–T£776,“856,“859,“861,“863.ަÏasctimeŽ‘":ž«:‘ +43.ަÏasinŽ‘*Å«:‘ +1468.ަÏassignŽ‘Û«:‘ 187Ž‘ -Ÿ™”‰feŽ‘,‘Q 188Ž‘Q Ÿ™”‰feŽ›Q#,–Q 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56Ž‘ Ÿ™”‰fe Ž‘,–á59,“61,“64,“66,“69,“71,“74,“75,ަ’à¦76,–"¼85,“91,“99.Ž¡’ôà¤Ïblue‘‰ffŽ‘®violetŽ’"e «:‘ -108,‘W˜112Ž‘W˜Ÿ™”‰feŽ–W›,‘W˜113Ž‘W˜Ÿ™”‰feŽ“,‘W˜1500.Ž¡’ôà¤Âb•QÇo“olu½‰™šs4Ž‘ÔwpairŽ’#ê«:‘ +108,‘W˜112Ž‘W˜Ÿ™”‰feŽ–W›,‘W˜113Ž‘W˜Ÿ™”‰feŽ“,‘W˜1505.Ž¡’ôà¤Âb•QÇo“olu½‰™šs4Ž‘ÔwpairŽ’#ê«:‘ 12Ž‘ Ÿ™”‰fe Ž‘.Ž¡’ôà¤Âb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ’*2ê«:‘ 33Ž‘ Ÿ™”‰fe -Ž‘,–R267,“268Ž“Ÿ™”‰feŽ›U,“269Ž“Ÿ™”‰feŽ˜,“270,“274,“275,“527,ަ’à¦528,–Ò529,“530,“603,“604,“640,“641,“642,“917,“918,ަ’à¦919,–Ê949,“960,“985,“987,“994,“1446.Ž¡’ôà¤Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ’Bð=«:‘ +Ž‘,–R267,“268Ž“Ÿ™”‰feŽ›U,“269Ž“Ÿ™”‰feŽ˜,“270,“274,“275,“527,ަ’à¦528,–Ò529,“530,“603,“604,“640,“641,“642,“920,“921,ŽŽŽŽŽŒ‹êz Šn ý‘ì«490–­INDEX’A²ù3DLDFPRÃŽG“·x«1525Ž €n ý•@P‘922,–Ê952,“963,“988,“990,“997,“1451.Ž© ‘rÂb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜pairŽ‘N™«:‘ 267Ž‘ -Ÿ™”‰feŽ‘,–öŠ274,“275,“949,“950,“951,ަ’à¦961,–¾l962,“981,“982,“990,“991,“996,“1159,“1165,ަ’à¦1166,–¿ 1167,“1168,“1174,“1183,“1216,“1223,ŽŽŽŽŽŒ‹åù¾ Šn ý‘ì·x«1517–­3DLDFPRÃŽG’A²ùINDEX“«485Ž €n ý•@P‘1258,–¢[1259,“1260,“1261.ޤ 1]Âb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜quadrupleŽ‘l‘V«:‘ +Ÿ™”‰feŽ‘,–öŠ274,“275,“952,“953,“954,ޤ ‘964,–¾l965,“984,“985,“993,“994,“999,“1164,“1170,Ž¡‘1171,–¿ 1172,“1173,“1179,“1188,“1221,“1228,Ž¡‘1263,–¢[1264,“1265,“1266.ަÂb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜quadrupleŽ‘l‘V«:‘ 270Ž‘ -Ÿ™”‰feŽ‘,‘Óù271Ž‘ÓùŸ™”‰feŽ‘Óü,–Óù274,“275,Ž© ‘1169,–Kx1170,“1171,“1262,“1263.Ž¡Âb•QÇo“olu½‰™šs4Ž‘ÔwrealŽ‘-ë,«:‘ +Ÿ™”‰feŽ‘,‘Óù271Ž‘ÓùŸ™”‰feŽ‘Óü,–Óù274,“275,Ž¡‘1174,–Kx1175,“1176,“1267,“1268.ަÂb•QÇo“olu½‰™šs4Ž‘ÔwrealŽ‘-ë,«:‘ 12Ž‘ Ÿ™”‰fe -Ž‘,–Ñ”349,“350,“352,“353,“354,“355,ަ‘603,–,4958,“996.Ž¡Âb•QÇo“olu½‰™šs4Ž–Ôwrealu½‰™šs4Ž“pQÇoin®9tŽ‘Lña«:‘ +Ž‘,–Ñ”349,“350,“352,“353,“354,“355,Ž¡‘603,–,4961,“999.ަÂb•QÇo“olu½‰™šs4Ž–Ôwrealu½‰™šs4Ž“pQÇoin®9tŽ‘Lña«:‘ 33Ž‘ Ÿ™”‰fe -Ž‘,‘R«272Ž‘R«Ÿ™”‰feŽ–R®,‘R«273Ž‘R«Ÿ™”‰feŽ“,–R«274,“275,“603,ަ‘604,–,4605,“917.Ž¡Âb•QÇo“olsŽ‘ÕM«:‘ -667,–Ü7949,“1294.Ž¡Ïb‘ÿ}'ot‘‰ffŽ‘®lftŽ‘›1«:‘ -1062Ž‘ -Ÿ™”‰feŽ‘.Ž¡Ïb‘ÿ}'ot‘‰ffŽ‘®rtŽ‘3^«:‘ -1062Ž‘ -Ÿ™”‰feŽ‘.Ž¡ÏbpŽ‘ +Ž‘,‘R«272Ž‘R«Ÿ™”‰feŽ–R®,‘R«273Ž‘R«Ÿ™”‰feŽ“,–R«274,“275,“603,Ž¡‘604,–,4605,“920.ަÂb•QÇo“olsŽ‘ÕM«:‘ +667,–Ü7952,“1299.ަÏb‘ÿ}'ot‘‰ffŽ‘®lftŽ‘›1«:‘ +1065Ž‘ +Ÿ™”‰feŽ‘.ަÏb‘ÿ}'ot‘‰ffŽ‘®rtŽ‘3^«:‘ +1065Ž‘ +Ÿ™”‰feŽ‘.ަÏbpŽ‘ Úy«:‘ 268Ž‘ -Ÿ™”‰feŽ‘,‘ò530Ž‘òŸ™”‰feŽ›õ,–ò541,“603Ž“Ÿ™”‰feŽ˜,“641Ž“Ÿ™”‰feŽ˜,“960Ž“Ÿ™”‰feŽ˜,“985Ž“Ÿ™”‰feŽ˜,“987Ž“Ÿ™”‰feŽ˜,“988,ަ‘994Ž‘Ÿ™”‰feŽ‘#,‘gK1446Ž‘gKŸ™”‰feŽ‘gO.Ž¡ÏbppŽ‘öé«:‘ -950,‘Ά951Ž‘ΆŸ™”‰feŽ›Ή,–Ά955,“956,“957,“958,“960,“982Ž“Ÿ™”‰feŽ˜,“985,ަ‘987,–a988,“989,“996Ž“Ÿ™”‰feŽ‘d,“1158,“1159Ž“Ÿ™”‰feŽ›e,“1183Ž“Ÿ™”‰feŽ˜,“1223Ž“Ÿ™”‰feŽ˜.Ž¡Ïbpp‘‰ffŽ‘®eŽ‘]V«:‘ -1174Ž‘ -Ÿ™”‰feŽ‘.Ž¡Ïbpp‘‰ffŽ‘®thisŽ‘#l@«:‘ +Ÿ™”‰feŽ‘,‘ò530Ž‘òŸ™”‰feŽ›õ,–ò541,“603Ž“Ÿ™”‰feŽ˜,“641Ž“Ÿ™”‰feŽ˜,“963Ž“Ÿ™”‰feŽ˜,“988Ž“Ÿ™”‰feŽ˜,“990Ž“Ÿ™”‰feŽ˜,“991,Ž¡‘997Ž‘Ÿ™”‰feŽ‘#,‘gK1451Ž‘gKŸ™”‰feŽ‘gO.ަÏbppŽ‘öé«:‘ +953,‘Ά954Ž‘ΆŸ™”‰feŽ›Ή,–Ά958,“959,“960,“961,“963,“985Ž“Ÿ™”‰feŽ˜,“988,Ž¡‘990,–a991,“992,“999Ž“Ÿ™”‰feŽ‘d,“1163,“1164Ž“Ÿ™”‰feŽ›e,“1188Ž“Ÿ™”‰feŽ˜,“1228Ž“Ÿ™”‰feŽ˜.ަÏbpp‘‰ffŽ‘®eŽ‘]V«:‘ +1179Ž‘ +Ÿ™”‰feŽ‘.ަÏbpp‘‰ffŽ‘®thisŽ‘#l@«:‘ +1179Ž‘ +Ÿ™”‰feŽ‘.ަÏbpp0Ž‘ÌÇ«:‘ +1221Ž‘ +Ÿ™”‰feŽ‘.ަÏbpp1Ž‘ÌÇ«:‘ +1221Ž‘ +Ÿ™”‰feŽ‘.ަÏbp‘ÿ}'qŽ‘2«:‘ 1174Ž‘ -Ÿ™”‰feŽ‘.Ž¡Ïbpp0Ž‘ÌÇ«:‘ -1216Ž‘ -Ÿ™”‰feŽ‘.Ž¡Ïbpp1Ž‘ÌÇ«:‘ -1216Ž‘ -Ÿ™”‰feŽ‘.Ž¡Ïbp‘ÿ}'qŽ‘2«:‘ -1169Ž‘ -Ÿ™”‰feŽ‘,‘Ý¿1171Ž‘Ý¿Ÿ™”‰feŽ›ÝÃ,–Ý¿1179,“1181,“1183,“1263Ž“Ÿ™”‰feŽ˜.Ž¡ÏbrŽ‘ +Ÿ™”‰feŽ‘,‘Ý¿1176Ž‘Ý¿Ÿ™”‰feŽ›ÝÃ,–Ý¿1184,“1186,“1188,“1268Ž“Ÿ™”‰feŽ˜.ަÏbrŽ‘ gs«:‘ 355Ž‘ -Ÿ™”‰feŽ‘,‘mG996Ž‘mGŸ™”‰feŽ‘mJ.Ž¡Ïbr‘‰ffŽ‘®pŽ‘À«:‘ +Ÿ™”‰feŽ‘,‘mG999Ž‘mGŸ™”‰feŽ‘mJ.ަÏbr‘‰ffŽ‘®pŽ‘À«:‘ 603Ž‘ -Ÿ™”‰feŽ‘.Ž¡Ïbr‘‰ffŽ‘®qŽ‘~ «:‘ +Ÿ™”‰feŽ‘.ަÏbr‘‰ffŽ‘®qŽ‘~ «:‘ 603Ž‘ -Ÿ™”‰feŽ‘.Ž¡ÏbrpŽ‘î«:‘ +Ÿ™”‰feŽ‘.ަÏbrpŽ‘î«:‘ 272Ž‘ -Ÿ™”‰feŽ‘,‘Ö603Ž‘ÖŸ™”‰feŽ–Ù,‘Ö605Ž‘ÖŸ™”‰feŽ“,–Ö606,“607.Ž¡ÂBUG‘®zFIX«:‘ 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+Ÿ™”‰feŽ‘.Ž¡Ïcurr–ÿ}'ent‘‰ffŽ‘®pictur“eŽ‘B%Ç«:‘ 257Ž‘ -Ÿ™”‰feŽ‘,‘jÅ258Ž‘jÅŸ™”‰feŽ‘jÈ,–jÅ410,“414,“419,“422,“425,Ž¡‘428,–Ò461,“463,“466,“468,“470,“775,“784,“793,“801,Ž¡‘806,–þl812,“820,“823,“829,“834,“921,“926,“1046,Ž¡‘1050,–<„1092,“1093,“1117,“1119,“1217,“1219,“1278,Ž¡‘1343,–<„1378,“1381,“1384,“1387,“1390,“1393,“1501.ަÏcurve‘‰ffŽ‘®0Ž‘" +Ÿ™”‰feŽ‘,‘jÅ258Ž‘jÅŸ™”‰feŽ‘jÈ,–jÅ410,“414,“419,“422,“425,ަ‘428,–Ò461,“463,“466,“468,“470,“775,“784,“793,“801,ަ‘806,–þl812,“820,“823,“829,“834,“924,“929,“1049,ަ‘1053,–<„1097,“1098,“1122,“1124,“1222,“1224,“1283,ަ‘1348,–<„1383,“1386,“1389,“1392,“1395,“1398,“1506.Ž¡Ïcurve‘‰ffŽ‘®0Ž‘" y«:‘ -954Ž‘ -Ÿ™”‰feŽ‘.ަÏcurve‘‰ffŽ‘®4Ž‘" +957Ž‘ +Ÿ™”‰feŽ‘.Ž¡Ïcurve‘‰ffŽ‘®4Ž‘" y«:‘ -954Ž‘ -Ÿ™”‰feŽ‘.ަÏcyanŽ‘w«:‘ -108,‘MÝ112Ž‘MÝŸ™”‰feŽ–Mà,‘MÝ113Ž‘MÝŸ™”‰feŽ“,–MÝ1456,“1500.ަÏcycleŽ‘y5«:‘ +957Ž‘ +Ÿ™”‰feŽ‘.Ž¡ÏcyanŽ‘w«:‘ +108,‘MÝ112Ž‘MÝŸ™”‰feŽ–Mà,‘MÝ113Ž‘MÝŸ™”‰feŽ“,–MÝ1461,“1505.Ž¡ÏcycleŽ‘y5«:‘ 667Ž‘ 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+Ž“,‘X?270Ž‘X?Ÿ™”‰feŽ–XB,‘X?644Ž‘X?Ÿ™”‰feŽ“,‘X?904Ž‘X?Ÿ™”‰feŽ“,‘X?1083Ž‘X?Ÿ™”‰feŽ–XC,‘X?1183Ž‘X?Ÿ™”‰feŽ“,‘X?1312Ž‘X?Ÿ™”‰feŽ“,ަ‘1419Ž‘Ÿ™”‰feŽ‘(,‘VÕ1420Ž‘VÕŸ™”‰feŽ‘VÙ.Ž¡Ïd‘‰ffŽ‘®xŽ‘%.«:‘ +904Ž‘ +Ÿ™”‰feŽ‘,‘]¬906.Ž¡Ïd‘‰ffŽ‘®yŽ‘ Ý«:‘ -901Ž‘ -Ÿ™”‰feŽ‘,–É902,“903.ަÏd‘‰ffŽ‘®zŽ‘žÈ«:‘ -901Ž‘ -Ÿ™”‰feŽ‘,–(902,“903.ަÏdashe‘ÿ}'dŽ‘*¡«:‘ +904Ž‘ +Ÿ™”‰feŽ‘,–É905,“906.Ž¡Ïd‘‰ffŽ‘®zŽ‘žÈ«:‘ +904Ž‘ +Ÿ™”‰feŽ‘,–(905,“906.Ž¡Ïdashe‘ÿ}'dŽ‘*¡«:‘ 654Ž‘ -Ÿ™”‰feŽ‘,–1þ657,“658,“661,“664,“666,“669,“671,Ž¡‘674,–>l676,“705,“776,“802,“807,“813,“821,“824,Ž¡‘859,–â‹861,“862,“863.ަÏdatestampŽ‘-ÿ«:‘ +Ÿ™”‰feŽ‘,–1þ657,“658,“661,“664,“666,“669,“671,ަ‘674,–>l676,“705,“776,“802,“807,“813,“821,“824,ަ‘859,–â‹861,“862,“863.Ž¡ÏdatestampŽ‘-ÿ«:‘ 43Ž‘ Ÿ™”‰fe -Ž‘,‘ý44.ަÝDBL_MAXŽ‘%FS«:‘ -16.ަÏddŽ‘ ÄC«:‘ -1178Ž‘ -Ÿ™”‰feŽ‘.ަÏddashe‘ÿ}'dŽ‘#G«:‘ +Ž‘,‘ý44.Ž¡ÝDBL_MAXŽ‘%FS«:‘ +16.Ž¡ÏddŽ‘ ÄC«:‘ +1183Ž‘ +Ÿ™”‰feŽ‘.Ž¡Ïddashe‘ÿ}'dŽ‘#G«:‘ 419Ž‘ -Ÿ™”‰feŽ‘,‘í!420Ž‘í!Ÿ™”‰feŽ–í$,‘í!422Ž‘í!Ÿ™”‰feŽ“,‘í!423Ž‘í!Ÿ™”‰feŽ“,‘í!425Ž‘í!Ÿ™”‰feŽ“,‘í!426Ž‘í!Ÿ™”‰feŽ“,‘í!428Ž‘í!Ÿ™”‰feŽ“,‘í!429Ž‘í!Ÿ™”‰feŽ“,Ž¡‘775Ž‘Ÿ™”‰feŽ‘#,‘>l776Ž‘>lŸ™”‰feŽ–>o,‘>l777Ž‘>lŸ™”‰feŽ“,‘>l778Ž‘>lŸ™”‰feŽ“,‘>l780Ž‘>lŸ™”‰feŽ“,‘>l781Ž‘>lŸ™”‰feŽ“,‘>l784Ž‘>lŸ™”‰feŽ“,‘>l785Ž‘>lŸ™”‰feŽ“,‘>l786Ž‘>lŸ™”‰feŽ“,Ž¡‘787Ž‘Ÿ™”‰feŽ‘#,‘>l789Ž‘>lŸ™”‰feŽ–>o,‘>l790Ž‘>lŸ™”‰feŽ“,‘>l793Ž‘>lŸ™”‰feŽ“,‘>l794Ž‘>lŸ™”‰feŽ“,‘>l795Ž‘>lŸ™”‰feŽ“,‘>l796Ž‘>lŸ™”‰feŽ“,‘>l798Ž‘>lŸ™”‰feŽ“,‘>l799Ž‘>lŸ™”‰feŽ“,Ž¡‘806Ž‘Ÿ™”‰feŽ‘#,‘>l807Ž‘>lŸ™”‰feŽ–>o,‘>l808Ž‘>lŸ™”‰feŽ“,‘>l809Ž‘>lŸ™”‰feŽ“,‘>l812Ž‘>lŸ™”‰feŽ“,‘>l813Ž‘>lŸ™”‰feŽ“,‘>l814Ž‘>lŸ™”‰feŽ“,‘>l815Ž‘>lŸ™”‰feŽ“,‘>l817Ž‘>lŸ™”‰feŽ“,Ž¡‘818Ž‘Ÿ™”‰feŽ‘#,‘>l823Ž‘>lŸ™”‰feŽ–>o,‘>l824Ž‘>lŸ™”‰feŽ“,‘>l825Ž‘>lŸ™”‰feŽ“,‘>l826Ž‘>lŸ™”‰feŽ“,–>l920,“921Ž“Ÿ™”‰feŽ›>o,“922Ž“Ÿ™”‰feŽ˜,“925,Ž¡‘926Ž‘Ÿ™”‰feŽ‘#,‘Òí927Ž‘Òퟙ”‰feŽ‘Òð,‘Òí1046Ž‘Òퟙ”‰feŽ–Òñ,‘Òí1047Ž‘Òퟙ”‰feŽ“,‘Òí1050Ž‘Òퟙ”‰feŽ“,‘Òí1051Ž‘Òퟙ”‰feŽ“,‘Òí1092Ž‘Òퟙ”‰feŽ“,‘Òí1093Ž‘Òퟙ”‰feŽ“,Ž¡‘1217Ž‘Ÿ™”‰feŽ‘(,‘<„1218Ž‘<„Ÿ™”‰feŽ–<ˆ,‘<„1219Ž‘<„Ÿ™”‰feŽ“,‘<„1220Ž‘<„Ÿ™”‰feŽ“,‘<„1225Ž‘<„Ÿ™”‰feŽ“,‘<„1226Ž‘<„Ÿ™”‰feŽ“,‘<„1267Ž‘<„Ÿ™”‰feŽ“,‘<„1268Ž‘<„Ÿ™”‰feŽ“,Ž¡‘1271Ž‘Ÿ™”‰feŽ‘(,‘<„1272Ž‘<„Ÿ™”‰feŽ›<ˆ,–<„1377,“1378Ž“Ÿ™”‰feŽ˜,“1379Ž“Ÿ™”‰feŽ˜,“1383,“1384Ž“Ÿ™”‰feŽ˜,“1385Ž“Ÿ™”‰feŽ˜,Ž¡‘1386,‘ö¶1387Ž‘ö¶Ÿ™”‰feŽ–öº,‘ö¶1388Ž‘ö¶Ÿ™”‰feŽ“,–ö¶1392,“1393Ž“Ÿ™”‰feŽ›öº,“1394Ž“Ÿ™”‰feŽ˜.ަÏddiameterŽ‘,çe«:‘ 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+Ÿ™”‰feŽ‘,‘í!420Ž‘í!Ÿ™”‰feŽ–í$,‘í!422Ž‘í!Ÿ™”‰feŽ“,‘í!423Ž‘í!Ÿ™”‰feŽ“,‘í!425Ž‘í!Ÿ™”‰feŽ“,‘í!426Ž‘í!Ÿ™”‰feŽ“,‘í!428Ž‘í!Ÿ™”‰feŽ“,‘í!429Ž‘í!Ÿ™”‰feŽ“,ަ‘775Ž‘Ÿ™”‰feŽ‘#,‘>l776Ž‘>lŸ™”‰feŽ–>o,‘>l777Ž‘>lŸ™”‰feŽ“,‘>l778Ž‘>lŸ™”‰feŽ“,‘>l780Ž‘>lŸ™”‰feŽ“,‘>l781Ž‘>lŸ™”‰feŽ“,‘>l784Ž‘>lŸ™”‰feŽ“,‘>l785Ž‘>lŸ™”‰feŽ“,‘>l786Ž‘>lŸ™”‰feŽ“,ަ‘787Ž‘Ÿ™”‰feŽ‘#,‘>l789Ž‘>lŸ™”‰feŽ–>o,‘>l790Ž‘>lŸ™”‰feŽ“,‘>l793Ž‘>lŸ™”‰feŽ“,‘>l794Ž‘>lŸ™”‰feŽ“,‘>l795Ž‘>lŸ™”‰feŽ“,‘>l796Ž‘>lŸ™”‰feŽ“,‘>l798Ž‘>lŸ™”‰feŽ“,‘>l799Ž‘>lŸ™”‰feŽ“,ަ‘806Ž‘Ÿ™”‰feŽ‘#,‘>l807Ž‘>lŸ™”‰feŽ–>o,‘>l808Ž‘>lŸ™”‰feŽ“,‘>l809Ž‘>lŸ™”‰feŽ“,‘>l812Ž‘>lŸ™”‰feŽ“,‘>l813Ž‘>lŸ™”‰feŽ“,‘>l814Ž‘>lŸ™”‰feŽ“,‘>l815Ž‘>lŸ™”‰feŽ“,‘>l817Ž‘>lŸ™”‰feŽ“,ަ‘818Ž‘Ÿ™”‰feŽ‘#,‘>l823Ž‘>lŸ™”‰feŽ–>o,‘>l824Ž‘>lŸ™”‰feŽ“,‘>l825Ž‘>lŸ™”‰feŽ“,‘>l826Ž‘>lŸ™”‰feŽ“,–>l923,“924Ž“Ÿ™”‰feŽ›>o,“925Ž“Ÿ™”‰feŽ˜,“928,ަ‘929Ž‘Ÿ™”‰feŽ‘#,‘Òí930Ž‘Òퟙ”‰feŽ‘Òð,‘Òí1049Ž‘Òퟙ”‰feŽ–Òñ,‘Òí1050Ž‘Òퟙ”‰feŽ“,‘Òí1053Ž‘Òퟙ”‰feŽ“,‘Òí1054Ž‘Òퟙ”‰feŽ“,‘Òí1097Ž‘Òퟙ”‰feŽ“,‘Òí1098Ž‘Òퟙ”‰feŽ“,ަ‘1222Ž‘Ÿ™”‰feŽ‘(,‘<„1223Ž‘<„Ÿ™”‰feŽ–<ˆ,‘<„1224Ž‘<„Ÿ™”‰feŽ“,‘<„1225Ž‘<„Ÿ™”‰feŽ“,‘<„1230Ž‘<„Ÿ™”‰feŽ“,‘<„1231Ž‘<„Ÿ™”‰feŽ“,‘<„1272Ž‘<„Ÿ™”‰feŽ“,‘<„1273Ž‘<„Ÿ™”‰feŽ“,ަ‘1276Ž‘Ÿ™”‰feŽ‘(,‘<„1277Ž‘<„Ÿ™”‰feŽ›<ˆ,–<„1382,“1383Ž“Ÿ™”‰feŽ˜,“1384Ž“Ÿ™”‰feŽ˜,“1388,“1389Ž“Ÿ™”‰feŽ˜,“1390Ž“Ÿ™”‰feŽ˜,ަ‘1391,‘ö¶1392Ž‘ö¶Ÿ™”‰feŽ–öº,‘ö¶1393Ž‘ö¶Ÿ™”‰feŽ“,–ö¶1397,“1398Ž“Ÿ™”‰feŽ›öº,“1399Ž“Ÿ™”‰feŽ˜.Ž¡ÏddiameterŽ‘,çe«:‘ 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-Ÿ™”‰feŽ‘,‘3420Ž‘3Ÿ™”‰feŽ–3‚,‘3422Ž‘3Ÿ™”‰feŽ“,‘3423Ž‘3Ÿ™”‰feŽ“,‘3428Ž‘3Ÿ™”‰feŽ“,‘3429Ž‘3Ÿ™”‰feŽ“,‘3775Ž‘3Ÿ™”‰feŽ“,Ž¡‘776Ž‘Ÿ™”‰feŽ‘#,‘>l777Ž‘>lŸ™”‰feŽ–>o,‘>l778Ž‘>lŸ™”‰feŽ“,‘>l780Ž‘>lŸ™”‰feŽ“,‘>l781Ž‘>lŸ™”‰feŽ“,‘>l784Ž‘>lŸ™”‰feŽ“,‘>l785Ž‘>lŸ™”‰feŽ“,‘>l786Ž‘>lŸ™”‰feŽ“,‘>l787Ž‘>lŸ™”‰feŽ“,Ž¡‘789Ž‘Ÿ™”‰feŽ‘#,‘>l790Ž‘>lŸ™”‰feŽ–>o,‘>l793Ž‘>lŸ™”‰feŽ“,‘>l794Ž‘>lŸ™”‰feŽ“,‘>l795Ž‘>lŸ™”‰feŽ“,‘>l796Ž‘>lŸ™”‰feŽ“,‘>l798Ž‘>lŸ™”‰feŽ“,‘>l799Ž‘>lŸ™”‰feŽ“,‘>l805,Ž¡‘806Ž‘Ÿ™”‰feŽ‘#,‘>l807Ž‘>lŸ™”‰feŽ–>o,‘>l808Ž‘>lŸ™”‰feŽ“,‘>l809Ž‘>lŸ™”‰feŽ“,‘>l823Ž‘>lŸ™”‰feŽ“,‘>l824Ž‘>lŸ™”‰feŽ“,‘>l825Ž‘>lŸ™”‰feŽ“,‘>l826Ž‘>lŸ™”‰feŽ“,‘>l921Ž‘>lŸ™”‰feŽ“,Ž¡‘922Ž‘Ÿ™”‰feŽ‘#,–Y©925,“926Ž“Ÿ™”‰feŽ›Y¬,“927Ž“Ÿ™”‰feŽ˜,“1046Ž“Ÿ™”‰feŽ›Y­,“1047Ž“Ÿ™”‰feŽ˜,“1050Ž“Ÿ™”‰feŽ˜,“1051Ž“Ÿ™”‰feŽ˜,Ž¡‘1092Ž‘Ÿ™”‰feŽ‘(,‘<„1093Ž‘<„Ÿ™”‰feŽ–<ˆ,‘<„1217Ž‘<„Ÿ™”‰feŽ“,‘<„1218Ž‘<„Ÿ™”‰feŽ“,‘<„1219Ž‘<„Ÿ™”‰feŽ“,‘<„1220Ž‘<„Ÿ™”‰feŽ“,‘<„1225Ž‘<„Ÿ™”‰feŽ“,‘<„1226Ž‘<„Ÿ™”‰feŽ“,ŽŽ ý•@P’à¦1267Ž’ট™”‰feŽ’àª,‘¢[1268Ž‘¢[Ÿ™”‰feŽ–¢_,‘¢[1271Ž‘¢[Ÿ™”‰feŽ“,‘¢[1272Ž‘¢[Ÿ™”‰feŽ“.ޤ Bs’ôà¤Ïddr–ÿ}'awdot‘‰ffŽ‘®c“olorŽ’6t¨«:‘ +Ÿ™”‰feŽ‘,‘3420Ž‘3Ÿ™”‰feŽ–3‚,‘3422Ž‘3Ÿ™”‰feŽ“,‘3423Ž‘3Ÿ™”‰feŽ“,‘3428Ž‘3Ÿ™”‰feŽ“,‘3429Ž‘3Ÿ™”‰feŽ“,‘3775Ž‘3Ÿ™”‰feŽ“,ޤ ’à¦776Ž’ট™”‰feŽ’à©,‘>l777Ž‘>lŸ™”‰feŽ–>o,‘>l778Ž‘>lŸ™”‰feŽ“,‘>l780Ž‘>lŸ™”‰feŽ“,‘>l781Ž‘>lŸ™”‰feŽ“,‘>l784Ž‘>lŸ™”‰feŽ“,‘>l785Ž‘>lŸ™”‰feŽ“,‘>l786Ž‘>lŸ™”‰feŽ“,‘>l787Ž‘>lŸ™”‰feŽ“,Ž¡’à¦789Ž’ট™”‰feŽ’à©,‘>l790Ž‘>lŸ™”‰feŽ–>o,‘>l793Ž‘>lŸ™”‰feŽ“,‘>l794Ž‘>lŸ™”‰feŽ“,‘>l795Ž‘>lŸ™”‰feŽ“,‘>l796Ž‘>lŸ™”‰feŽ“,‘>l798Ž‘>lŸ™”‰feŽ“,‘>l799Ž‘>lŸ™”‰feŽ“,‘>l805,Ž¡’à¦806Ž’ট™”‰feŽ’à©,‘>l807Ž‘>lŸ™”‰feŽ–>o,‘>l808Ž‘>lŸ™”‰feŽ“,‘>l809Ž‘>lŸ™”‰feŽ“,‘>l823Ž‘>lŸ™”‰feŽ“,‘>l824Ž‘>lŸ™”‰feŽ“,‘>l825Ž‘>lŸ™”‰feŽ“,‘>l826Ž‘>lŸ™”‰feŽ“,‘>l924Ž‘>lŸ™”‰feŽ“,Ž¡’à¦925Ž’ট™”‰feŽ’à©,–Y©928,“929Ž“Ÿ™”‰feŽ›Y¬,“930Ž“Ÿ™”‰feŽ˜,“1049Ž“Ÿ™”‰feŽ›Y­,“1050Ž“Ÿ™”‰feŽ˜,“1053Ž“Ÿ™”‰feŽ˜,“1054Ž“Ÿ™”‰feŽ˜,Ž¡’à¦1097Ž’ট™”‰feŽ’àª,‘<„1098Ž‘<„Ÿ™”‰feŽ–<ˆ,‘<„1222Ž‘<„Ÿ™”‰feŽ“,‘<„1223Ž‘<„Ÿ™”‰feŽ“,‘<„1224Ž‘<„Ÿ™”‰feŽ“,‘<„1225Ž‘<„Ÿ™”‰feŽ“,‘<„1230Ž‘<„Ÿ™”‰feŽ“,‘<„1231Ž‘<„Ÿ™”‰feŽ“,Ž¡’à¦1272Ž’ট™”‰feŽ’àª,‘¢[1273Ž‘¢[Ÿ™”‰feŽ–¢_,‘¢[1276Ž‘¢[Ÿ™”‰feŽ“,‘¢[1277Ž‘¢[Ÿ™”‰feŽ“.ޤ RE’ôà¤Ïddr–ÿ}'awdot‘‰ffŽ‘®c“olorŽ’6t¨«:‘ 409,‘á¿410Ž‘῟™”‰feŽ–áÂ,‘á¿411Ž‘῟™”‰feŽ“,‘á¿412Ž‘῟™”‰feŽ“,‘á¿413Ž‘῟™”‰feŽ“.Ž¡’ôà¤ÝDEBUGŽ’¦ý«:‘ 72Ž‘ Ÿ™”‰fe -Ž‘,‘„'159Ž‘„'Ÿ™”‰feŽ–„*,‘„'161Ž‘„'Ÿ™”‰feŽ“,‘„'174Ž‘„'Ÿ™”‰feŽ“,‘„'182Ž‘„'Ÿ™”‰feŽ“,–„'183,“184,“185,“186,ޤ ’à¦188Ž’ট™”‰feŽ’à©,‘Ò346Ž‘ÒŸ™”‰feŽ–Õ,‘Ò350Ž‘ÒŸ™”‰feŽ“,‘Ò380Ž‘ÒŸ™”‰feŽ“,–Ò381,“382,“385,“387,“388,“389,Ž¡’à¦395Ž’ট™”‰feŽ’à©,‘Ò399Ž‘ÒŸ™”‰feŽ›Õ,–Ò400,“401,“405Ž“Ÿ™”‰feŽ˜,“411Ž“Ÿ™”‰feŽ˜,“432Ž“Ÿ™”‰feŽ˜,“443Ž“Ÿ™”‰feŽ˜,“446Ž“Ÿ™”‰feŽ˜,“448Ž“Ÿ™”‰feŽ˜,Ž¡’à¦452Ž’ট™”‰feŽ’à©,‘Ò458Ž‘ÒŸ™”‰feŽ–Õ,‘Ò462Ž‘ÒŸ™”‰feŽ“,‘Ò464Ž‘ÒŸ™”‰feŽ“,‘Ò505Ž‘ÒŸ™”‰feŽ“,‘Ò517Ž‘ÒŸ™”‰feŽ“,–Ò518,“519,“520,“521,Ž¡’à¦522,‘Ò530Ž‘ÒŸ™”‰feŽ‘Õ,–Ò531,“532,“533,“534,“535,“536,“537,“538,Ž¡’à¦540,–Ò541,“546Ž“Ÿ™”‰feŽ›Õ,“548Ž“Ÿ™”‰feŽ˜,“549,“550,“551,“552,“553,“561Ž“Ÿ™”‰feŽ˜,Ž¡’à¦603Ž’ট™”‰feŽ’à©,‘Ò605Ž‘ÒŸ™”‰feŽ›Õ,–Ò606,“607,“644Ž“Ÿ™”‰feŽ˜,“661Ž“Ÿ™”‰feŽ˜,“664Ž“Ÿ™”‰feŽ˜,“669Ž“Ÿ™”‰feŽ˜,“674Ž“Ÿ™”‰feŽ˜,“678Ž“Ÿ™”‰feŽ˜,Ž¡’à¦681Ž’ট™”‰feŽ’à©,‘Ò683Ž‘ÒŸ™”‰feŽ–Õ,‘Ò685Ž‘ÒŸ™”‰feŽ“,‘Ò687Ž‘ÒŸ™”‰feŽ“,‘Ò726Ž‘ÒŸ™”‰feŽ“,‘Ò776Ž‘ÒŸ™”‰feŽ“,‘Ò802Ž‘ÒŸ™”‰feŽ“,‘Ò807Ž‘ÒŸ™”‰feŽ“,‘Ò824Ž‘ÒŸ™”‰feŽ“,‘Ò830Ž‘ÒŸ™”‰feŽ“,Ž¡’à¦840Ž’ট™”‰feŽ’à©,‘Ò842Ž‘ÒŸ™”‰feŽ›Õ,–Ò843,“844,“847Ž“Ÿ™”‰feŽ˜,“849Ž“Ÿ™”‰feŽ˜,“857Ž“Ÿ™”‰feŽ˜,“859,“861,“862,Ž¡’à¦863,–Ò864,“873Ž“Ÿ™”‰feŽ›Õ,“875Ž“Ÿ™”‰feŽ˜,“882Ž“Ÿ™”‰feŽ˜,“886,“894Ž“Ÿ™”‰feŽ˜,“897,“901Ž“Ÿ™”‰feŽ˜,“903,Ž¡’à¦909Ž’ট™”‰feŽ’à©,–Ò911,“946Ž“Ÿ™”‰feŽ›Õ,“951Ž“Ÿ™”‰feŽ˜,“952,“954,“955,“956,“957,“958,Ž¡’à¦960,‘Ò982Ž‘ÒŸ™”‰feŽ›Õ,–Ò983,“985,“987,“988,“989,“993Ž“Ÿ™”‰feŽ˜,“994,“996,Ž¡’à¦1030Ž’ট™”‰feŽ’àª,–<„1031,“1033Ž“Ÿ™”‰feŽ›<ˆ,“1034,“1122Ž“Ÿ™”‰feŽ˜,“1163Ž“Ÿ™”‰feŽ˜,“1171Ž“Ÿ™”‰feŽ˜,“1172,Ž¡’à¦1173,–<„1174,“1175,“1177,“1178,“1179,“1180,“1181,Ž¡’à¦1183,‘<„1188Ž‘<„Ÿ™”‰feŽ–<ˆ,‘<„1254Ž‘<„Ÿ™”‰feŽ“,‘<„1263Ž‘<„Ÿ™”‰feŽ“,‘<„1279Ž‘<„Ÿ™”‰feŽ“,‘<„1282Ž‘<„Ÿ™”‰feŽ“,‘<„1285Ž‘<„Ÿ™”‰feŽ“,‘<„1303Ž‘<„Ÿ™”‰feŽ“,Ž¡’à¦1312Ž’ট™”‰feŽ’àª,‘<„1339Ž‘<„Ÿ™”‰feŽ–<ˆ,‘<„1362Ž‘<„Ÿ™”‰feŽ“,‘<„1365Ž‘<„Ÿ™”‰feŽ“,‘<„1367Ž‘<„Ÿ™”‰feŽ“,‘<„1375Ž‘<„Ÿ™”‰feŽ“,–<„1377,“1379Ž“Ÿ™”‰feŽ‘<ˆ,Ž¡’à¦1380,‘<„1382Ž‘<„Ÿ™”‰feŽ›<ˆ,–<„1383,“1385Ž“Ÿ™”‰feŽ˜,“1388Ž“Ÿ™”‰feŽ˜,“1391Ž“Ÿ™”‰feŽ˜,“1394Ž“Ÿ™”‰feŽ˜,“1415Ž“Ÿ™”‰feŽ˜,Ž¡’à¦1438Ž’ট™”‰feŽ’àª,‘<„1455Ž‘<„Ÿ™”‰feŽ›<ˆ,–<„1456,“1469Ž“Ÿ™”‰feŽ˜,“1471Ž“Ÿ™”‰feŽ˜,“1483Ž“Ÿ™”‰feŽ˜,“1485Ž“Ÿ™”‰feŽ˜,“1503Ž“Ÿ™”‰feŽ˜.ޤ Bs’ôà¤Ïde‘ÿ}'cimalŽ’"«:‘ +Ž‘,‘„'159Ž‘„'Ÿ™”‰feŽ–„*,‘„'161Ž‘„'Ÿ™”‰feŽ“,‘„'174Ž‘„'Ÿ™”‰feŽ“,‘„'182Ž‘„'Ÿ™”‰feŽ“,–„'183,“184,“185,“186,ޤ ’à¦188Ž’ট™”‰feŽ’à©,‘Ò346Ž‘ÒŸ™”‰feŽ–Õ,‘Ò350Ž‘ÒŸ™”‰feŽ“,‘Ò380Ž‘ÒŸ™”‰feŽ“,–Ò381,“382,“385,“387,“388,“389,Ž¡’à¦395Ž’ট™”‰feŽ’à©,‘Ò399Ž‘ÒŸ™”‰feŽ›Õ,–Ò400,“401,“405Ž“Ÿ™”‰feŽ˜,“411Ž“Ÿ™”‰feŽ˜,“432Ž“Ÿ™”‰feŽ˜,“443Ž“Ÿ™”‰feŽ˜,“446Ž“Ÿ™”‰feŽ˜,“448Ž“Ÿ™”‰feŽ˜,Ž¡’à¦452Ž’ট™”‰feŽ’à©,‘Ò458Ž‘ÒŸ™”‰feŽ–Õ,‘Ò462Ž‘ÒŸ™”‰feŽ“,‘Ò464Ž‘ÒŸ™”‰feŽ“,‘Ò505Ž‘ÒŸ™”‰feŽ“,‘Ò517Ž‘ÒŸ™”‰feŽ“,–Ò518,“519,“520,“521,Ž¡’à¦522,‘Ò530Ž‘ÒŸ™”‰feŽ‘Õ,–Ò531,“532,“533,“534,“535,“536,“537,“538,Ž¡’à¦540,–Ò541,“546Ž“Ÿ™”‰feŽ›Õ,“548Ž“Ÿ™”‰feŽ˜,“549,“550,“551,“552,“553,“561Ž“Ÿ™”‰feŽ˜,Ž¡’à¦603Ž’ট™”‰feŽ’à©,‘Ò605Ž‘ÒŸ™”‰feŽ›Õ,–Ò606,“607,“644Ž“Ÿ™”‰feŽ˜,“661Ž“Ÿ™”‰feŽ˜,“664Ž“Ÿ™”‰feŽ˜,“669Ž“Ÿ™”‰feŽ˜,“674Ž“Ÿ™”‰feŽ˜,“678Ž“Ÿ™”‰feŽ˜,Ž¡’à¦681Ž’ট™”‰feŽ’à©,‘Ò683Ž‘ÒŸ™”‰feŽ–Õ,‘Ò685Ž‘ÒŸ™”‰feŽ“,‘Ò687Ž‘ÒŸ™”‰feŽ“,‘Ò726Ž‘ÒŸ™”‰feŽ“,‘Ò776Ž‘ÒŸ™”‰feŽ“,‘Ò802Ž‘ÒŸ™”‰feŽ“,‘Ò807Ž‘ÒŸ™”‰feŽ“,‘Ò824Ž‘ÒŸ™”‰feŽ“,‘Ò830Ž‘ÒŸ™”‰feŽ“,Ž¡’à¦840Ž’ট™”‰feŽ’à©,‘Ò842Ž‘ÒŸ™”‰feŽ›Õ,–Ò843,“844,“847Ž“Ÿ™”‰feŽ˜,“849Ž“Ÿ™”‰feŽ˜,“857Ž“Ÿ™”‰feŽ˜,“859,“861,“862,Ž¡’à¦863,–Ò864,“873Ž“Ÿ™”‰feŽ›Õ,“875Ž“Ÿ™”‰feŽ˜,“882Ž“Ÿ™”‰feŽ˜,“886,“897Ž“Ÿ™”‰feŽ˜,“900,“904Ž“Ÿ™”‰feŽ˜,“906,Ž¡’à¦912Ž’ট™”‰feŽ’à©,–Ò914,“949Ž“Ÿ™”‰feŽ›Õ,“954Ž“Ÿ™”‰feŽ˜,“955,“957,“958,“959,“960,“961,Ž¡’à¦963,‘Ò985Ž‘ÒŸ™”‰feŽ›Õ,–Ò986,“988,“990,“991,“992,“996Ž“Ÿ™”‰feŽ˜,“997,“999,Ž¡’à¦1033Ž’ট™”‰feŽ’àª,–<„1034,“1036Ž“Ÿ™”‰feŽ›<ˆ,“1037,“1127Ž“Ÿ™”‰feŽ˜,“1168Ž“Ÿ™”‰feŽ˜,“1176Ž“Ÿ™”‰feŽ˜,“1177,Ž¡’à¦1178,–<„1179,“1180,“1182,“1183,“1184,“1185,“1186,Ž¡’à¦1188,‘<„1193Ž‘<„Ÿ™”‰feŽ–<ˆ,‘<„1259Ž‘<„Ÿ™”‰feŽ“,‘<„1268Ž‘<„Ÿ™”‰feŽ“,‘<„1284Ž‘<„Ÿ™”‰feŽ“,‘<„1287Ž‘<„Ÿ™”‰feŽ“,‘<„1290Ž‘<„Ÿ™”‰feŽ“,‘<„1308Ž‘<„Ÿ™”‰feŽ“,Ž¡’à¦1317Ž’ট™”‰feŽ’àª,‘<„1344Ž‘<„Ÿ™”‰feŽ–<ˆ,‘<„1367Ž‘<„Ÿ™”‰feŽ“,‘<„1370Ž‘<„Ÿ™”‰feŽ“,‘<„1372Ž‘<„Ÿ™”‰feŽ“,‘<„1380Ž‘<„Ÿ™”‰feŽ“,–<„1382,“1384Ž“Ÿ™”‰feŽ‘<ˆ,Ž¡’à¦1385,‘<„1387Ž‘<„Ÿ™”‰feŽ›<ˆ,–<„1388,“1390Ž“Ÿ™”‰feŽ˜,“1393Ž“Ÿ™”‰feŽ˜,“1396Ž“Ÿ™”‰feŽ˜,“1399Ž“Ÿ™”‰feŽ˜,“1420Ž“Ÿ™”‰feŽ˜,Ž¡’à¦1443Ž’ট™”‰feŽ’àª,‘<„1460Ž‘<„Ÿ™”‰feŽ›<ˆ,–<„1461,“1474Ž“Ÿ™”‰feŽ˜,“1476Ž“Ÿ™”‰feŽ˜,“1488Ž“Ÿ™”‰feŽ˜,“1490Ž“Ÿ™”‰feŽ˜,“1508Ž“Ÿ™”‰feŽ˜.ޤ RE’ôà¤Ïde‘ÿ}'cimalŽ’"«:‘ 96,‘Ëù97Ž‘ËùŸ™”‰fe Ž–Ëû,‘Ëù98Ž‘ËùŸ™”‰fe Ž“,‘Ëù99Ž‘ËùŸ™”‰fe Ž“.Ž¡’ôà¤Ïdefault‘‰ffŽ‘®b–ÿ}'ackgr“oundŽ’G&ë:‘ 108,‘8F112Ž‘8FŸ™”‰feŽ–8I,‘8F113Ž‘8FŸ™”‰feŽ“.Ž¡’ôà¤Ïdefault‘‰ffŽ‘®c‘ÿ}'olorŽ’,\«:‘ 112Ž‘ -Ÿ™”‰feŽ‘,‘n113Ž‘nŸ™”‰feŽ‘q,–n115,“410,“412,“419,“420,ޤ ’à¦422,–>l423,“458,“775,“777,“784,“786,“801,“803,Ž¡’à¦806,–¾l808,“859,“861,“862,“863,“921,“1046,“1047,Ž¡’à¦1050,–<„1051,“1092,“1093,“1217,“1219,“1278,“1279,Ž¡’à¦1282,–¢[1379,“1382,“1446.Ž© Bs’ôà¤Ïdefault‘‰ffŽ–®c›ÿ}'olor‘‰ffŽ“ve˜ctorŽ’IúÞ«:‘ +Ÿ™”‰feŽ‘,‘n113Ž‘nŸ™”‰feŽ‘q,–n115,“410,“412,“419,“420,ޤ ’à¦422,–>l423,“458,“775,“777,“784,“786,“801,“803,Ž¡’à¦806,–¾l808,“859,“861,“862,“863,“924,“1049,“1050,Ž¡’à¦1053,–<„1054,“1097,“1098,“1222,“1224,“1283,“1284,Ž¡’à¦1287,–¢[1384,“1387,“1451.Ž© RE’ôà¤Ïdefault‘‰ffŽ–®c›ÿ}'olor‘‰ffŽ“ve˜ctorŽ’IúÞ«:‘ 115Ž‘ -Ÿ™”‰feŽ‘,‘ñº116Ž‘ñºŸ™”‰feŽ‘ñ½,–ñº1281,“1284,“1378,Ž¡’à¦1381,‘VÕ1384.ަ’ôà¤Ïdefault‘‰ffŽ‘®fo‘ÿ}'cusŽ’,¾¢«:‘ 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Ÿ™”‰feŽ‘,‘Á‰254Ž‘Á‰Ÿ™”‰feŽ›ÁŒ,–Á‰547,“548Ž“Ÿ™”‰feŽ˜,“551,“554Ž“Ÿ™”‰feŽ˜.Ž¡ÂDoQÇdecahedronŽ‘H¿Ž«:‘ -196,–gd1307,“1424,“1448Ž“Ÿ™”‰feŽ‘gh,“1449,ަ‘1451,‘¿ 1452Ž‘¿ Ÿ™”‰feŽ›¿ ,–¿ 1454,“1455Ž“Ÿ™”‰feŽ˜,“1458,“1459,“1460,ަ‘1468,‘VÕ1472.Ž¡ÏdotŽ‘ «:‘ +196,–gd1312,“1429,“1453Ž“Ÿ™”‰feŽ‘gh,“1454,ަ‘1456,‘¿ 1457Ž‘¿ Ÿ™”‰feŽ›¿ ,–¿ 1459,“1460Ž“Ÿ™”‰feŽ˜,“1463,“1464,“1465,ŽŽ ý•@P’à¦1473,‘VÕ1477.ޤ /þ’ôà¤ÏdotŽ’ᱫ:‘ 208Ž‘ -Ÿ™”‰feŽ‘,‘ÚÑ461Ž‘ÚÑŸ™”‰feŽ–ÚÔ,‘ÚÑ462Ž‘ÚÑŸ™”‰feŽ“,‘ÚÑ463Ž‘ÚÑŸ™”‰feŽ“,‘ÚÑ464Ž‘ÚÑŸ™”‰feŽ“,–ÚÑ471,“472,“828,“829Ž“Ÿ™”‰feŽ‘ÚÔ,ަ‘830Ž‘Ÿ™”‰feŽ‘#,‘%¬831Ž‘%¬Ÿ™”‰feŽ–%¯,‘%¬832Ž‘%¬Ÿ™”‰feŽ“,‘%¬1117Ž‘%¬Ÿ™”‰feŽ–%°,‘%¬1118Ž‘%¬Ÿ™”‰feŽ“,‘%¬1119.Ž¡Ïdot‘‰ffŽ‘®pr–ÿ}'o“ductŽ‘2€!«:‘ +Ÿ™”‰feŽ‘,‘ÚÑ461Ž‘ÚÑŸ™”‰feŽ–ÚÔ,‘ÚÑ462Ž‘ÚÑŸ™”‰feŽ“,‘ÚÑ463Ž‘ÚÑŸ™”‰feŽ“,‘ÚÑ464Ž‘ÚÑŸ™”‰feŽ“,–ÚÑ471,“472,“828,“829Ž“Ÿ™”‰feŽ‘ÚÔ,Ž© ’à¦830Ž’ট™”‰feŽ’à©,‘%¬831Ž‘%¬Ÿ™”‰feŽ–%¯,‘%¬832Ž‘%¬Ÿ™”‰feŽ“,‘%¬1122Ž‘%¬Ÿ™”‰feŽ–%°,‘%¬1123Ž‘%¬Ÿ™”‰feŽ“,‘%¬1124.Ž¡’ôà¤Ïdot‘‰ffŽ‘®pr–ÿ}'o“ductŽ’'`Å«:‘ 498Ž‘ -Ÿ™”‰feŽ‘,‘Ä¡499ޑġŸ™”‰feŽ‘Ĥ,–Ä¡504,“505,“605,“624,“634,“641.Ž¡Ïdotlab‘ÿ}'elŽ‘!ÿó«:‘ -207,–þX209,“461,“465,“466Ž“Ÿ™”‰feŽ›þ[,“467Ž“Ÿ™”‰feŽ˜,“468Ž“Ÿ™”‰feŽ˜,“469Ž“Ÿ™”‰feŽ˜,ަ‘828,‘¾l834Ž‘¾lŸ™”‰feŽ–¾o,‘¾l835Ž‘¾lŸ™”‰feŽ“,‘¾l836Ž‘¾lŸ™”‰feŽ“,‘¾l837Ž‘¾lŸ™”‰feŽ“,–¾l946,“954,“1119Ž“Ÿ™”‰feŽ‘¾p,“1174,ŽŽ ý•@P’à¦1177,–<„1179,“1214,“1263,“1279,“1282,“1285,“1415,Ž© ’à¦1446,–£ÿ1456,“1460,“1469,“1471,“1473,“1483.ޤ .²’ôà¤Ïdouble‘‰ffŽ‘®r‘ÿ}'owsŽ’(Ș«:‘ -1278Ž‘ -Ÿ™”‰feŽ‘,‘ý1279Ž‘ýŸ™”‰feŽ‘ÃÁ.Ž¡’ôà¤ÏdoublesŽ’¤«:‘ -12,‘4!138.Ž¡’ôà¤Ïdr‘ÿ}'awŽ’ «:‘ -418,‘à419Ž‘àŸ™”‰feŽ–ã,‘à420Ž‘àŸ™”‰feŽ“,–à427,“775Ž“Ÿ™”‰feŽ›ã,“776Ž“Ÿ™”‰feŽ˜,“777Ž“Ÿ™”‰feŽ˜,“778Ž“Ÿ™”‰feŽ˜,ަ’à¦779,‘>l780Ž‘>lŸ™”‰feŽ–>o,‘>l781Ž‘>lŸ™”‰feŽ“,–>l785,“787,“794,“805,“858,“946,ަ’à¦954,–1218,“1220,“1225,“1226,“1267,“1271,“1279,ަ’à¦1282,–¿ 1285,“1378Ž“Ÿ™”‰feŽ›¿ ,“1379Ž“Ÿ™”‰feŽ˜,“1438,“1446,“1456,ަ’à¦1460,–¢[1473,“1501,“1517.Ž¡’ôà¤ÝDRAWŽ’ +Ÿ™”‰feŽ‘,‘Ä¡499ޑġŸ™”‰feŽ‘Ĥ,–Ä¡504,“505,“605,“624,“634,“641.Ž¡’ôà¤Ïdotlab‘ÿ}'elŽ’à—«:‘ 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-Ÿ™”‰feŽ‘,‘&922Ž‘&Ÿ™”‰feŽ–&,‘&926Ž‘&Ÿ™”‰feŽ“,‘&927Ž‘&Ÿ™”‰feŽ“,‘&954.Ž¡’ôà¤Ïdr–ÿ}'aw‘‰ffŽ‘®c“olorŽ’#ÌÝ«:‘ +Ÿ™”‰feŽ‘,‘]ˆ201Ž‘]ˆŸ™”‰feŽ‘]‹,–]ˆ776,“859,“1382.Ž¡’ôà¤Ïdr‘ÿ}'aw‘‰ffŽ‘®axesŽ’ æz«:‘ +924Ž‘ +Ÿ™”‰feŽ‘,‘&925Ž‘&Ÿ™”‰feŽ–&,‘&929Ž‘&Ÿ™”‰feŽ“,‘&930Ž‘&Ÿ™”‰feŽ“,‘&957.Ž¡’ôà¤Ïdr–ÿ}'aw‘‰ffŽ‘®c“olorŽ’#ÌÝ«:‘ 654Ž‘ -Ÿ™”‰feŽ‘,–Gy657,“661,“664,“666,“669,“671,“674,ަ’à¦676,–>l681,“685,“686,“687,“696,“698,“775,“776,ަ’à¦802,–>l806,“807,“813,“821,“824,“859,“861,“862,ަ’à¦863,–{864,“869,“1377,“1380.Ž¡’ôà¤Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜innerŽ’>›œ«:‘ -1278Ž‘ -Ÿ™”‰feŽ‘,‘{å1279Ž‘{埙”‰feŽ‘{é.Ž¡’ôà¤Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜iterŽ’6¯‡«:‘ -1383,‘•ù1385.Ž¡’ôà¤Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜midd‘‚ØleŽ’DIÕ«:‘ -1278Ž‘ -Ÿ™”‰feŽ‘,‘i21279Ž‘i2Ÿ™”‰feŽ‘i6.Ž¡’ôà¤Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜outerŽ’>ë:‘ -1278Ž‘ -Ÿ™”‰feŽ‘,‘}”1279Ž‘}”Ÿ™”‰feŽ‘}˜.Ž¡’ôà¤Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜ptrŽ’4!P«:‘ -1383,‘žc1385Ž‘žcŸ™”‰feŽ‘žg.Ž¡’ôà¤Ïdr–ÿ}'aw‘‰ffŽ‘®c“olorsŽ’'¢1«:‘ 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-Ÿ™”‰feŽ‘,‘cN1218Ž‘cNŸ™”‰feŽ‘cR.Ž¡’ôà¤Ïdr–ÿ}'awarr“owŽ’#Óh«:‘ +Ÿ™”‰feŽ‘,–Gy657,“661,“664,“666,“669,“671,“674,ަ’à¦676,–>l681,“685,“686,“687,“696,“698,“775,“776,ަ’à¦802,–>l806,“807,“813,“821,“824,“859,“861,“862,ަ’à¦863,–{864,“869,“1382,“1385.Ž¡’ôà¤Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜innerŽ’>›œ«:‘ +1283Ž‘ +Ÿ™”‰feŽ‘,‘{å1284Ž‘{埙”‰feŽ‘{é.Ž¡’ôà¤Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜iterŽ’6¯‡«:‘ +1388,‘•ù1390.Ž¡’ôà¤Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜midd‘‚ØleŽ’DIÕ«:‘ +1283Ž‘ +Ÿ™”‰feŽ‘,‘i21284Ž‘i2Ÿ™”‰feŽ‘i6.Ž¡’ôà¤Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜outerŽ’>ë:‘ +1283Ž‘ +Ÿ™”‰feŽ‘,‘}”1284Ž‘}”Ÿ™”‰feŽ‘}˜.Ž¡’ôà¤Ïdr–ÿ}'aw‘‰ffŽ›®c“olor‘‰ffŽ˜ptrŽ’4!P«:‘ +1388,‘žc1390Ž‘žcŸ™”‰feŽ‘žg.Ž¡’ôà¤Ïdr–ÿ}'aw‘‰ffŽ‘®c“olorsŽ’'¢1«:‘ +1388,‘mö1389Ž‘möŸ™”‰feŽ–mú,‘mö1390Ž‘möŸ™”‰feŽ“.Ž¡’ôà¤Ïdr‘ÿ}'aw‘‰ffŽ‘®helpŽ’¦L«:‘ +427,‘·8428Ž‘·8Ÿ™”‰feŽ–·;,‘·8429Ž‘·8Ÿ™”‰feŽ“,–·8791,“793Ž“Ÿ™”‰feŽ›·;,“794Ž“Ÿ™”‰feŽ˜,“795Ž“Ÿ™”‰feŽ˜,ަ’à¦796Ž’ট™”‰feŽ’à©,‘Ò798Ž‘ÒŸ™”‰feŽ–Ò‚,‘Ò799Ž‘ÒŸ™”‰feŽ“,‘Ò1451.Ž¡’ôà¤Ïdr›ÿ}'aw‘‰ffŽ–®in‘‰ffŽ“cir˜cleŽ’1ãt«:‘ +1049Ž‘ +Ÿ™”‰feŽ‘,‘õº1050Ž‘õºŸ™”‰feŽ–õ¾,‘õº1272Ž‘õºŸ™”‰feŽ“,‘õº1273Ž‘õºŸ™”‰feŽ“.Ž¡’ôà¤Ïdr‘ÿ}'aw‘‰ffŽ–®in‘‰ffŽ“el‘‚ØlipseŽ’5Ù«:‘ +1098Ž‘ +Ÿ™”‰feŽ‘,‘˜º1231Ž‘˜ºŸ™”‰feŽ‘˜¾.Ž¡’ôà¤Ïdr›ÿ}'aw‘‰ffŽ–®in‘‰ffŽ“r˜e˜ctangleŽ’@÷U«:‘ +1224Ž‘ +Ÿ™”‰feŽ‘,‘t"1225Ž‘t"Ÿ™”‰feŽ‘t&.Ž¡’ôà¤Ïdr‘ÿ}'aw‘‰ffŽ‘®netŽ’"7«:‘ +1450Ž‘ +Ÿ™”‰feŽ‘,‘’j1451Ž‘’jŸ™”‰feŽ–’n,‘’j1464Ž‘’jŸ™”‰feŽ“,‘’j1465Ž‘’jŸ™”‰feŽ“,‘’j1477Ž‘’jŸ™”‰feŽ“,‘’j1478Ž‘’jŸ™”‰feŽ“.Ž¡’ôà¤Ïdr›ÿ}'aw‘‰ffŽ–®out‘‰ffŽ“cir˜cleŽ’6ÿã«:‘ +1053Ž‘ +Ÿ™”‰feŽ‘,‘åS1054Ž‘åSŸ™”‰feŽ–åW,‘åS1276Ž‘åSŸ™”‰feŽ“,‘åS1277Ž‘åSŸ™”‰feŽ“.Ž¡’ôà¤Ïdr‘ÿ}'aw‘‰ffŽ–®out‘‰ffŽ“el‘‚ØlipseŽ’:õð«:‘ +1097Ž‘ +Ÿ™”‰feŽ‘,‘‡æ1230Ž‘‡æŸ™”‰feŽ‘‡ê.Ž¡’ôà¤Ïdr›ÿ}'aw‘‰ffŽ–®out‘‰ffŽ“r˜e˜ctangleŽ’FÄ«:‘ +1222Ž‘ +Ÿ™”‰feŽ‘,‘cN1223Ž‘cNŸ™”‰feŽ‘cR.Ž¡’ôà¤Ïdr–ÿ}'awarr“owŽ’#Óh«:‘ 422Ž‘ -Ÿ™”‰feŽ‘,‘{Ó423Ž‘{ÓŸ™”‰feŽ›{Ö,–{Ó654,“784Ž“Ÿ™”‰feŽ˜,“785Ž“Ÿ™”‰feŽ˜,“786Ž“Ÿ™”‰feŽ˜,“787Ž“Ÿ™”‰feŽ˜,ަ’à¦789Ž’ট™”‰feŽ’à©,‘â‹790Ž‘⋟™”‰feŽ‘âŽ,–â‹856,“925.Ž¡’ôà¤ÝDRAWDOTŽ’&÷«:‘ 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‘839,–â‹852,“854,“856Ž“Ÿ™”‰feŽ‘âŽ.ޤ {hÝELLIPSEŽ‘%FS«:‘ -1291Ž‘ -Ÿ™”‰feŽ‘,‘71292Ž‘7Ÿ™”‰feŽ‘;,–71311,“1312,“1324,“1325,“1329.Ž¡ÂEllipseŽ‘!èÙ«:‘ +1182Ž‘ +Ÿ™”‰feŽ‘,‘÷1183.Ž¡’ôà¤Ïe‘‰ffŽ‘®planeŽ’kz«:‘ +1176Ž‘ +Ÿ™”‰feŽ‘,–©(1177,“1188.ŽŽŽŽŽŒ‹î·Ã Šn ý‘ì«494–­INDEX’A²ù3DLDFPRÃŽG“·x«1525Ž €n ý•@PÏe‘‰ffŽ‘®xŽ‘¢U«:‘ +904Ž‘ +Ÿ™”‰feŽ‘,‘_[906.ޤ s.Ïe‘‰ffŽ‘®yŽ‘ˆ«:‘ +904Ž‘ +Ÿ™”‰feŽ‘,–r905,“906.Ž¡Ïe‘‰ffŽ‘®zŽ‘ï«:‘ +904Ž‘ +Ÿ™”‰feŽ‘,–Ò905,“906.Ž¡Ïe–ÿ}'dge‘‰ffŽ‘®r“adiusŽ‘1Ü’«:‘ +1431Ž‘ +Ÿ™”‰feŽ‘,–Ûl1440,“1443,“1457,“1460,“1471,Ž© ‘1474,–ûs1485,“1488.Ž¡Ïe‘ÿ}'dgesŽ‘Ò«:‘ +1405Ž‘ +Ÿ™”‰feŽ‘,–Òù1416,“1418,“1420,“1440,“1443,“1457,ަ‘1460,–Kx1471,“1474,“1485,“1488.Ž¡ÏelementsŽ‘&åû«:‘ +438,–¼X440,“442,“453Ž“Ÿ™”‰feŽ›¼[,“549Ž“Ÿ™”‰feŽ˜,“550,“551,“552,ަ‘839,–â‹852,“854,“856Ž“Ÿ™”‰feŽ‘âŽ.Ž¡ÝELLIPSEŽ‘%FS«:‘ +1296Ž‘ +Ÿ™”‰feŽ‘,‘71297Ž‘7Ÿ™”‰feŽ‘;,–71316,“1317,“1329,“1330,“1334.Ž¡ÂEllipseŽ‘!èÙ«:‘ 33Ž‘ Ÿ™”‰fe -Ž‘,–_î290,“644,“1089,“1090,“1091,“1092,ަ‘1093,‘<„1098Ž‘<„Ÿ™”‰feŽ›<ˆ,–<„1099,“1101,“1102Ž“Ÿ™”‰feŽ˜,“1104,“1105Ž“Ÿ™”‰feŽ˜,“1107,ަ‘1109,–<„1110,“1111,“1112,“1113,“1114,“1115,“1118,ަ‘1119,–<„1122,“1125,“1127,“1128,“1129,“1132,“1135,ަ‘1137,–<„1140,“1142,“1144,“1146,“1147,“1150,“1152,ަ‘1155,–<„1157,“1159,“1160,“1161,“1162,“1163,“1166,ަ‘1168,–<„1169,“1170,“1171,“1173,“1174,“1177,“1184,ަ‘1187,–<„1188,“1190,“1191,“1192,“1194,“1196,“1198,ަ‘1199,–<„1201,“1204,“1206,“1208,“1209,“1211,“1214,ަ‘1216,–<„1218,“1220,“1221,“1223,“1224,“1225,“1226,ަ‘1232,–<„1238,“1246,“1248,“1249,“1250,“1251,“1257,ަ‘1259,–<„1261,“1263,“1291,“1297,“1303,“1307,“1315,ަ‘1316,–<„1324,“1337,“1339,“1342,“1344,“1360,“1362,ަ‘1374,–<„1375,“1379,“1382,“1385,“1388,“1391,“1394.Ž¡Ïel‘‚Ølipse‘‰ffŽ‘®pt0Ž‘..«:‘ -1177Ž‘ +Ž‘,–_î290,“644,“1094,“1095,“1096,“1097,ަ‘1098,‘<„1103Ž‘<„Ÿ™”‰feŽ›<ˆ,–<„1104,“1106,“1107Ž“Ÿ™”‰feŽ˜,“1109,“1110Ž“Ÿ™”‰feŽ˜,“1112,ަ‘1114,–<„1115,“1116,“1117,“1118,“1119,“1120,“1123,ަ‘1124,–<„1127,“1130,“1132,“1133,“1134,“1137,“1140,ަ‘1142,–<„1145,“1147,“1149,“1151,“1152,“1155,“1157,ަ‘1160,–<„1162,“1164,“1165,“1166,“1167,“1168,“1171,ަ‘1173,–<„1174,“1175,“1176,“1178,“1179,“1182,“1189,ަ‘1192,–<„1193,“1195,“1196,“1197,“1199,“1201,“1203,ަ‘1204,–<„1206,“1209,“1211,“1213,“1214,“1216,“1219,ަ‘1221,–<„1223,“1225,“1226,“1228,“1229,“1230,“1231,ަ‘1237,–<„1243,“1251,“1253,“1254,“1255,“1256,“1262,ަ‘1264,–<„1266,“1268,“1296,“1302,“1308,“1312,“1320,ަ‘1321,–<„1329,“1342,“1344,“1347,“1349,“1365,“1367,ަ‘1379,–<„1380,“1384,“1387,“1390,“1393,“1396,“1399.Ž¡Ïel‘‚Ølipse‘‰ffŽ‘®pt0Ž‘..«:‘ +1182Ž‘ Ÿ™”‰feŽ‘.Ž¡Ïel‘‚Ølipse‘‰ffŽ‘®pt4Ž‘..«:‘ -1177Ž‘ +1182Ž‘ Ÿ™”‰feŽ‘.Ž¡ÂEllipsesŽ‘&r«:‘ -1115,–>&1170,“1173,“1174.Ž¡Ïel‘‚ØlipsesŽ‘ ‚q«:‘ -1291Ž‘ -Ÿ™”‰feŽ‘,–Wf1297,“1303,“1311,“1312,“1316,“1324,ަ‘1325,–<„1337,“1339,“1342,“1344,“1360,“1362,“1374,ަ‘1375,–<„1377,“1379,“1380,“1382,“1383,“1385,“1386,ަ‘1388,–Kx1389,“1391,“1392,“1394.Ž¡ÏEl‘‚ØlipsoidŽ‘'a«:‘ -1291.Ž¡ÏendŽ‘ಫ:‘ -249,–ÂÕ543,“545,“546,“549,“550,“552,“553,“657,ަ‘659,–Ò685,“734,“739,“741,“743,“765,“766,“770,“771,ަ‘830,–>l840,“843,“864,“867,“881Ž“Ÿ™”‰feŽ›>o,“882Ž“Ÿ™”‰feŽ˜,“883,“884,ަ‘885,–þl886,“895,“897,“911,“985,“987,“994,“1118,ަ‘1122,–<„1254,“1282,“1285,“1297,“1303,“1337,“1339,ަ‘1342,–<„1344,“1360,“1362,“1375,“1377,“1379,“1380,ަ‘1382,–<„1383,“1385,“1388,“1391,“1394,“1413,“1419,ަ‘1428,–ö¶1456,“1460,“1469,“1473,“1483.Ž¡Ïend gŽ‘ó…«:‘ +1120,–>&1175,“1178,“1179.Ž¡Ïel‘‚ØlipsesŽ‘ ‚q«:‘ +1296Ž‘ +Ÿ™”‰feŽ‘,–Wf1302,“1308,“1316,“1317,“1321,“1329,ަ‘1330,–<„1342,“1344,“1347,“1349,“1365,“1367,“1379,ަ‘1380,–<„1382,“1384,“1385,“1387,“1388,“1390,“1391,ަ‘1393,–Kx1394,“1396,“1397,“1399.Ž¡ÏEl‘‚ØlipsoidŽ‘'a«:‘ +1296.Ž¡ÏendŽ‘ಫ:‘ +249,–ÂÕ543,“545,“546,“549,“550,“552,“553,“657,ަ‘659,–Ò685,“734,“739,“741,“743,“765,“766,“770,“771,ަ‘830,–>l840,“843,“864,“867,“881Ž“Ÿ™”‰feŽ›>o,“882Ž“Ÿ™”‰feŽ˜,“883,“884,ަ‘885,–þl886,“898,“900,“914,“988,“990,“997,“1123,ަ‘1127,–<„1259,“1287,“1290,“1302,“1308,“1342,“1344,ަ‘1347,–<„1349,“1365,“1367,“1380,“1382,“1384,“1385,ަ‘1387,–<„1388,“1390,“1393,“1396,“1399,“1418,“1424,ަ‘1433,–ö¶1461,“1465,“1474,“1478,“1488.Ž¡Ïend gŽ‘ó…«:‘ 49Ž‘ Ÿ™”‰fe Ž‘,‘üU50Ž‘üUŸ™”‰fe -Ž‘üW,‘üU1501.Ž¡Ïend‘‚ØlŽ‘ñ«:‘ -44,–µ…46,“48,“50,“85,“87,“89,“91,“93,“148,“151,ަ‘153,–Ò182,“183,“185,“186,“249,“318,“346,“380,“382,ަ‘383,–Ò385,“387,“388,“400,“401,“405,“434,“446,“448,ަ‘452,–Ò464,“519,“521,“522,“536,“537,“538,“541,“548,ަ‘551,–>l552,“561,“572,“574,“603,“605,“606,“609,ަ‘641,–>l646,“776,“802,“807,“824,“840,“842,“843,ަ‘844,–>l847,“849,“867,“886,“895,“903,“911,“919,ަ‘924,–>l946,“954,“955,“957,“958,“959,“960,“965,ަ‘986,–K987,“993,“1105,“1122,“1140,“1142,“1168,ަ‘1171,–<„1174,“1178,“1179,“1180,“1181,“1183,“1188,ަ‘1223,–<„1224,“1254,“1263,“1279,“1282,“1285,“1303,ަ‘1312,–<„1325,“1337,“1365,“1367,“1377,“1380,“1383,ަ‘1428,–ö¶1439,“1483,“1503,“1507,“1508.Ž¡Ïepicycloid‘‰ffŽ–®p‘ÿ}'attern‘‰ffŽ“1Ž‘WÏ7«:‘ -1281Ž‘ -Ÿ™”‰feŽ‘,‘õˆ1282Ž‘õˆŸ™”‰feŽ‘õŒ,‘õˆ1283.Ž¡Ïepicycloid‘‰ffŽ–®p‘ÿ}'attern‘‰ffŽ“3Ž‘WÏ7«:‘ -1281,‘õˆ1284Ž‘õˆŸ™”‰feŽ–õŒ,‘õˆ1285Ž‘õˆŸ™”‰feŽ“.Ž¡ÏepsŽ‘!«:‘ +Ž‘üW,‘üU1506.Ž¡Ïend‘‚ØlŽ‘ñ«:‘ +44,–µ…46,“48,“50,“85,“87,“89,“91,“93,“148,“151,ަ‘153,–Ò182,“183,“185,“186,“249,“318,“346,“380,“382,ަ‘383,–Ò385,“387,“388,“400,“401,“405,“434,“446,“448,ަ‘452,–Ò464,“519,“521,“522,“536,“537,“538,“541,“548,ަ‘551,–Ò552,“561,“572,“574,“603,“605,“606,“609,“641,ަ‘646,–Ò776,“802,“807,“824,“840,“842,“843,“844,“847,ަ‘849,–>l867,“886,“898,“906,“914,“922,“927,“949,ަ‘957,–>l958,“960,“961,“962,“963,“968,“989,“990,ަ‘996,–1110,“1127,“1145,“1147,“1173,“1176,“1179,ަ‘1183,–<„1184,“1185,“1186,“1188,“1193,“1228,“1229,ަ‘1259,–<„1268,“1284,“1287,“1290,“1308,“1317,“1330,ŽŽ ý•@P’à¦1342,–<„1370,“1372,“1382,“1385,“1388,“1433,“1444,Ž© ’à¦1488,–ö¶1508,“1512,“1513,“1515,“1516.ޤ kû’ôà¤Ïepicycloid‘‰ffŽ–®p‘ÿ}'attern‘‰ffŽ“1Ž’L¯Û«:‘ +1286Ž‘ +Ÿ™”‰feŽ‘,‘õˆ1287Ž‘õˆŸ™”‰feŽ‘õŒ,‘õˆ1288.Ž¡’ôà¤Ïepicycloid‘‰ffŽ–®p‘ÿ}'attern‘‰ffŽ“3Ž’L¯Û«:‘ +1286,‘õˆ1289Ž‘õˆŸ™”‰feŽ–õŒ,‘õˆ1290Ž‘õˆŸ™”‰feŽ“.Ž¡’ôà¤ÏepsŽ’f«:‘ 137Ž‘ -Ÿ™”‰feŽ‘,‘Ù.151Ž‘Ù.Ÿ™”‰feŽ–Ù1,‘Ù.153Ž‘Ù.Ÿ™”‰feŽ“,‘Ù.156Ž‘Ù.Ÿ™”‰feŽ“,‘Ù.161Ž‘Ù.Ÿ™”‰feŽ“,–Ù.162,“163,“164,“305Ž“Ÿ™”‰feŽ‘Ù1,ަ‘401Ž‘Ÿ™”‰feŽ‘#,‘A405Ž‘AŸ™”‰feŽ›D,–A515,“516,“517Ž“Ÿ™”‰feŽ˜,“521,“522.Ž¡ÏepsilonŽ‘o«:‘ -15,–ˆ…24,“135,“136,“137,“138Ž“Ÿ™”‰feŽ‘ˆˆ,“139,“150,“151,ŽŽ ý•@P’à¦153,–Ò156,“161,“305,“308Ž“Ÿ™”‰feŽ‘Õ,“401,“405,“498,“499,“515,ޤ ’à¦517,–þl606,“624,“633,“634,“945,“946,“993,“1121,Ž¡’à¦1122,–<„1162,“1163,“1172,“1188,“1251,“1253,“1254.ޤ ù’ôà¤Ïer‘ÿ}'aseŽ’ >Ó«:‘ +Ÿ™”‰feŽ‘,‘Ù.151Ž‘Ù.Ÿ™”‰feŽ–Ù1,‘Ù.153Ž‘Ù.Ÿ™”‰feŽ“,‘Ù.156Ž‘Ù.Ÿ™”‰feŽ“,‘Ù.161Ž‘Ù.Ÿ™”‰feŽ“,–Ù.162,“163,“164,“305Ž“Ÿ™”‰feŽ‘Ù1,ަ’à¦401Ž’ট™”‰feŽ’à©,‘A405Ž‘AŸ™”‰feŽ›D,–A515,“516,“517Ž“Ÿ™”‰feŽ˜,“521,“522.Ž¡’ôà¤ÏepsilonŽ’O¨«:‘ +15,–§¨24,“135,“136,“137,“138Ž“Ÿ™”‰feŽ‘§«,“139,“150,ަ’à¦151,–>l153,“156,“161,“305,“308Ž“Ÿ™”‰feŽ‘>o,“401,“405,“498,ަ’à¦499,–>l515,“517,“606,“624,“633,“634,“948,“949,ަ’à¦996,–1082,“1083,“1126,“1127,“1167,“1168,“1177,ަ’à¦1193,–¢[1256,“1258,“1259.Ž¡’ôà¤Ïer‘ÿ}'aseŽ’ >Ó«:‘ 43.Ž¡’ôà¤Ïexchange‘‰ffŽ–®x‘‰ffŽ“zŽ’-–­«:‘ -901Ž‘ -Ÿ™”‰feŽ‘,‘Ô×903.Ž¡’ôà¤Ïexchange‘‰ffŽ–®y‘‰ffŽ“zŽ’-Î#«:‘ -901Ž‘ +904Ž‘ +Ÿ™”‰feŽ‘,‘Ô×906.Ž¡’ôà¤Ïexchange‘‰ffŽ–®y‘‰ffŽ“zŽ’-Î#«:‘ +904Ž‘ Ÿ™”‰feŽ‘.Ž¡’ôà¤ÏexitŽ’÷«:‘ -1503,‘6\1509.Ž¡’ôà¤Ïextr‘ÿ}'actŽ’£«:‘ +1508,–Ûc1515,“1516.Ž¡’ôà¤Ïextr‘ÿ}'actŽ’£«:‘ 200Ž‘ -Ÿ™”‰feŽ‘,‘*442Ž‘*Ÿ™”‰feŽ–*,‘*443Ž‘*Ÿ™”‰feŽ“,–*457,“549,“839Ž“Ÿ™”‰feŽ›*,“840Ž“Ÿ™”‰feŽ˜,“841,Ž© ’à¦856,‘²g1359Ž‘²gŸ™”‰feŽ–²k,‘²g1360Ž‘²gŸ™”‰feŽ“,‘²g1374.Ž¡’ôà¤Ïextr‘ÿ}'emesŽ’ñH«:‘ +Ÿ™”‰feŽ‘,‘*442Ž‘*Ÿ™”‰feŽ–*,‘*443Ž‘*Ÿ™”‰feŽ“,–*457,“549,“839Ž“Ÿ™”‰feŽ›*,“840Ž“Ÿ™”‰feŽ˜,“841,ަ’à¦856,‘²g1364Ž‘²gŸ™”‰feŽ–²k,‘²g1365Ž‘²gŸ™”‰feŽ“,‘²g1379.Ž¡’ôà¤Ïextr‘ÿ}'emesŽ’ñH«:‘ 549,‘ĵ550Ž‘ĵŸ™”‰feŽ‘ĸ,‘ĵ551.Ž¡’ôऱfŽ’úÙŠ«:‘ +16Ž‘ +Ÿ™”‰fe +Ž‘,‘~)200Ž‘~)Ÿ™”‰feŽ–~,,‘~)210Ž‘~)Ÿ™”‰feŽ“,‘~)253Ž‘~)Ÿ™”‰feŽ“,‘~)312Ž‘~)Ÿ™”‰feŽ“,‘~)313Ž‘~)Ÿ™”‰feŽ“,‘~)314Ž‘~)Ÿ™”‰feŽ“,‘~)315Ž‘~)Ÿ™”‰feŽ“,‘~)317Ž‘~)Ÿ™”‰feŽ“,‘~)318Ž‘~)Ÿ™”‰feŽ“,ަ’à¦319Ž’ট™”‰feŽ’à©,‘>l320Ž‘>lŸ™”‰feŽ–>o,‘>l322Ž‘>lŸ™”‰feŽ“,‘>l323Ž‘>lŸ™”‰feŽ“,‘>l324Ž‘>lŸ™”‰feŽ“,‘>l325Ž‘>lŸ™”‰feŽ“,‘>l327Ž‘>lŸ™”‰feŽ“,‘>l328Ž‘>lŸ™”‰feŽ“,‘>l329Ž‘>lŸ™”‰feŽ“,ަ’à¦330Ž’ট™”‰feŽ’à©,‘>l332Ž‘>lŸ™”‰feŽ–>o,‘>l333Ž‘>lŸ™”‰feŽ“,‘>l334Ž‘>lŸ™”‰feŽ“,‘>l335Ž‘>lŸ™”‰feŽ“,‘>l337Ž‘>lŸ™”‰feŽ“,‘>l338Ž‘>lŸ™”‰feŽ“,‘>l339Ž‘>lŸ™”‰feŽ“,‘>l340Ž‘>lŸ™”‰feŽ“,ަ’à¦398Ž’ট™”‰feŽ’à©,‘>l399Ž‘>lŸ™”‰feŽ–>o,‘>l402Ž‘>lŸ™”‰feŽ“,‘>l431Ž‘>lŸ™”‰feŽ“,‘>l432Ž‘>lŸ™”‰feŽ“,‘>l442Ž‘>lŸ™”‰feŽ“,‘>l443Ž‘>lŸ™”‰feŽ“,‘>l472Ž‘>lŸ™”‰feŽ“,‘>l548Ž‘>lŸ™”‰feŽ“,ަ’à¦563Ž’ট™”‰feŽ’à©,‘>l566Ž‘>lŸ™”‰feŽ–>o,‘>l568Ž‘>lŸ™”‰feŽ“,‘>l570Ž‘>lŸ™”‰feŽ“,‘>l636Ž‘>lŸ™”‰feŽ“,‘>l742Ž‘>lŸ™”‰feŽ“,‘>l743Ž‘>lŸ™”‰feŽ“,‘>l839Ž‘>lŸ™”‰feŽ“,‘>l840Ž‘>lŸ™”‰feŽ“,ަ’à¦866Ž’ট™”‰feŽ’à©,‘867Ž‘Ÿ™”‰feŽ‘,‘1341Ž‘Ÿ™”‰feŽ– ,‘1342Ž‘Ÿ™”‰feŽ“,‘1364Ž‘Ÿ™”‰feŽ“,‘1365Ž‘Ÿ™”‰feŽ“.Ž¡’ôà¤ÏfabsŽ’v«:‘ +135,–±í137,“151,“153,“156,“162,“163,“164,“183,ަ’à¦305,–>l401,“405,“499,“516,“521,“522,“605,“624,ަ’à¦634,–636,“949,“968,“996,“1083,“1127,“1134,“1168,ަ’à¦1177,–ö¶1183,“1193,“1256,“1258,“1259.Ž¡’ôà¤Ïfac–ÿ}'e‘‰ffŽ‘®r“adiusŽ’%4¯«:‘ +1431Ž‘ +Ÿ™”‰feŽ‘,–òƒ1440,“1443,“1457,“1460,“1471,ަ’à¦1474,–ûs1485,“1488.Ž¡’ôà¤Ïfac‘ÿ}'esŽ’ *4«:‘ +1405Ž‘ +Ÿ™”‰feŽ‘,–èÇ1416,“1418,“1420,“1440,“1443,“1457,ަ’à¦1460,–Kx1471,“1474,“1485,“1488.Ž¡’ôà¤ÏfactorŽ’ä‚«:‘ 200Ž‘ -Ÿ™”‰feŽ‘,‘&`210Ž‘&`Ÿ™”‰feŽ–&c,‘&`253Ž‘&`Ÿ™”‰feŽ“,‘&`312Ž‘&`Ÿ™”‰feŽ“,‘&`313Ž‘&`Ÿ™”‰feŽ“,‘&`314Ž‘&`Ÿ™”‰feŽ“,‘&`315Ž‘&`Ÿ™”‰feŽ“,‘&`317Ž‘&`Ÿ™”‰feŽ“,‘&`318Ž‘&`Ÿ™”‰feŽ“,‘&`319Ž‘&`Ÿ™”‰feŽ“,ަ’à¦320Ž’ট™”‰feŽ’à©,‘>l322Ž‘>lŸ™”‰feŽ–>o,‘>l323Ž‘>lŸ™”‰feŽ“,‘>l324Ž‘>lŸ™”‰feŽ“,‘>l325Ž‘>lŸ™”‰feŽ“,‘>l327Ž‘>lŸ™”‰feŽ“,‘>l328Ž‘>lŸ™”‰feŽ“,‘>l329Ž‘>lŸ™”‰feŽ“,‘>l330Ž‘>lŸ™”‰feŽ“,ަ’à¦332Ž’ট™”‰feŽ’à©,‘>l333Ž‘>lŸ™”‰feŽ–>o,‘>l334Ž‘>lŸ™”‰feŽ“,‘>l335Ž‘>lŸ™”‰feŽ“,‘>l337Ž‘>lŸ™”‰feŽ“,‘>l338Ž‘>lŸ™”‰feŽ“,‘>l339Ž‘>lŸ™”‰feŽ“,‘>l340Ž‘>lŸ™”‰feŽ“,‘>l398Ž‘>lŸ™”‰feŽ“,ަ’à¦399Ž’ট™”‰feŽ’à©,‘>l402Ž‘>lŸ™”‰feŽ–>o,‘>l431Ž‘>lŸ™”‰feŽ“,‘>l432Ž‘>lŸ™”‰feŽ“,‘>l442Ž‘>lŸ™”‰feŽ“,‘>l443Ž‘>lŸ™”‰feŽ“,‘>l472Ž‘>lŸ™”‰feŽ“,‘>l548Ž‘>lŸ™”‰feŽ“,‘>l563Ž‘>lŸ™”‰feŽ“,ަ’à¦566Ž’ট™”‰feŽ’à©,‘>l568Ž‘>lŸ™”‰feŽ–>o,‘>l570Ž‘>lŸ™”‰feŽ“,‘>l636Ž‘>lŸ™”‰feŽ“,‘>l742Ž‘>lŸ™”‰feŽ“,‘>l743Ž‘>lŸ™”‰feŽ“,‘>l839Ž‘>lŸ™”‰feŽ“,‘>l840Ž‘>lŸ™”‰feŽ“,‘>l866Ž‘>lŸ™”‰feŽ“,ަ’à¦867Ž’ট™”‰feŽ’à©,‘[R1336Ž‘[RŸ™”‰feŽ–[V,‘[R1337Ž‘[RŸ™”‰feŽ“,‘[R1359Ž‘[RŸ™”‰feŽ“,‘[R1360Ž‘[RŸ™”‰feŽ“.Ž¡’ôà¤ÏfabsŽ’v«:‘ -135,–±í137,“151,“153,“156,“162,“163,“164,“183,ަ’à¦305,–>l401,“405,“499,“516,“521,“522,“605,“624,ަ’à¦634,–636,“946,“965,“993,“1122,“1129,“1163,“1172,ަ’à¦1178,–Kx1188,“1251,“1253,“1254.Ž¡’ôà¤Ïfac–ÿ}'e‘‰ffŽ‘®r“adiusŽ’%4¯«:‘ -1426Ž‘ -Ÿ™”‰feŽ‘,–òƒ1435,“1438,“1452,“1455,“1466,ަ’à¦1469,–ûs1480,“1483.Ž¡’ôà¤Ïfac‘ÿ}'esŽ’ *4«:‘ -1400Ž‘ -Ÿ™”‰feŽ‘,–èÇ1411,“1413,“1415,“1435,“1438,“1452,ަ’à¦1455,–Kx1466,“1469,“1480,“1483.Ž¡’ôà¤ÏfactorŽ’ä‚«:‘ -200Ž‘ -Ÿ™”‰feŽ‘,‘"±210Ž‘"±Ÿ™”‰feŽ–"´,‘"±253Ž‘"±Ÿ™”‰feŽ“,‘"±254Ž‘"±Ÿ™”‰feŽ“,‘"±304Ž‘"±Ÿ™”‰feŽ“,‘"±305Ž‘"±Ÿ™”‰feŽ“,‘"±312Ž‘"±Ÿ™”‰feŽ“,‘"±313Ž‘"±Ÿ™”‰feŽ“,‘"±314Ž‘"±Ÿ™”‰feŽ“,ަ’à¦315Ž’ট™”‰feŽ’à©,‘Ò317Ž‘ÒŸ™”‰feŽ–Õ,‘Ò318Ž‘ÒŸ™”‰feŽ“,‘Ò319Ž‘ÒŸ™”‰feŽ“,‘Ò320Ž‘ÒŸ™”‰feŽ“,‘Ò322Ž‘ÒŸ™”‰feŽ“,‘Ò323Ž‘ÒŸ™”‰feŽ“,‘Ò324Ž‘ÒŸ™”‰feŽ“,‘Ò325Ž‘ÒŸ™”‰feŽ“,‘Ò327Ž‘ÒŸ™”‰feŽ“,ަ’à¦328Ž’ট™”‰feŽ’à©,‘Ò329Ž‘ÒŸ™”‰feŽ–Õ,‘Ò330Ž‘ÒŸ™”‰feŽ“,‘Ò332Ž‘ÒŸ™”‰feŽ“,‘Ò333Ž‘ÒŸ™”‰feŽ“,‘Ò334Ž‘ÒŸ™”‰feŽ“,‘Ò335Ž‘ÒŸ™”‰feŽ“,‘Ò337Ž‘ÒŸ™”‰feŽ“,‘Ò338Ž‘ÒŸ™”‰feŽ“,‘Ò339Ž‘ÒŸ™”‰feŽ“,ަ’à¦340Ž’ট™”‰feŽ’à©,‘Ò398Ž‘ÒŸ™”‰feŽ–Õ,‘Ò399Ž‘ÒŸ™”‰feŽ“,–Ò400,“402Ž“Ÿ™”‰feŽ›Õ,“403Ž“Ÿ™”‰feŽ˜,“431Ž“Ÿ™”‰feŽ˜,“432Ž“Ÿ™”‰feŽ˜,“442Ž“Ÿ™”‰feŽ˜,“443Ž“Ÿ™”‰feŽ˜,ަ’à¦472Ž’ট™”‰feŽ’à©,–Ò516,“517Ž“Ÿ™”‰feŽ›Õ,“548Ž“Ÿ™”‰feŽ˜,“549,“553,“554Ž“Ÿ™”‰feŽ˜,“742Ž“Ÿ™”‰feŽ˜,“743Ž“Ÿ™”‰feŽ˜,“839Ž“Ÿ™”‰feŽ˜,ަ’à¦840Ž’ট™”‰feŽ’à©,‘866Ž‘Ÿ™”‰feŽ–,‘867Ž‘Ÿ™”‰feŽ“,‘964Ž‘Ÿ™”‰feŽ“,‘965Ž‘Ÿ™”‰feŽ“,‘1336Ž‘Ÿ™”‰feŽ–,‘1337Ž‘Ÿ™”‰feŽ“,‘1359Ž‘Ÿ™”‰feŽ“,‘1360Ž‘Ÿ™”‰feŽ“.Ž¡’ôà¤ÏfalseŽ’ è«:‘ -17,–e47,“49,“59,“61,“64,“65,“66,“69,“71,“72,“74,ަ’à¦97,–èÔ98,“99,“141,“143,“159,“161,“174,“182,“187,ަ’à¦188,–Ò209,“216,“229,“248,“269,“273,“274,“280,“283,ަ’à¦287,–Ò346,“350,“351,“356,“357,“380,“395,“399,“401,ަ’à¦405,–Ò409,“411,“419,“420,“431,“432,“437,“439,“443,ަ’à¦446,–Ò448,“452,“458,“461,“462,“463,“464,“472,“505,ަ’à¦507,–Ò508,“517,“518,“521,“527,“529,“530,“541,“546,ަ’à¦548,–Ò549,“550,“552,“561,“573,“603,“605,“607,“637,ަ’à¦641,–Ò644,“658,“661,“664,“666,“669,“671,“674,“676,ަ’à¦678,–Ò681,“683,“685,“687,“726,“743,“749,“750,“775,ަ’à¦776,–Ò777,“794,“802,“807,“824,“829,“830,“831,“840,ަ’à¦842,–>l843,“844,“847,“849,“853,“857,“868,“872,ަ’à¦873,–>l874,“875,“881,“882,“894,“901,“903,“908,ަ’à¦909,–>l917,“925,“940,“941,“942,“945,“946,“949,ަ’à¦951,–¾l958,“965,“982,“985,“993,“996,“1027,“1030,ަ’à¦1033,–<„1037,“1039,“1059,“1062,“1067,“1072,“1074,ަ’à¦1102,–<„1105,“1117,“1118,“1121,“1122,“1125,“1127,ަ’à¦1158,–<„1163,“1170,“1171,“1174,“1183,“1187,“1188,ަ’à¦1191,–<„1192,“1198,“1199,“1208,“1209,“1235,“1238,ަ’à¦1243,–<„1253,“1254,“1262,“1263,“1279,“1282,“1285,ަ’à¦1294,–<„1295,“1297,“1303,“1312,“1339,“1362,“1365,ަ’à¦1367,–<„1371,“1375,“1377,“1379,“1380,“1382,“1383,ŽŽŽŽŽŒ‹êâ¹ Šn ý‘ì«490–­INDEX’A²ù3DLDFPRÃŽG“·x«1517Ž €n ý•@P‘1385,–<„1388,“1391,“1394,“1411,“1413,“1415,“1435,ޤ ‘1438,–<„1452,“1455,“1457,“1459,“1466,“1469,“1470,Ž¡‘1471,–ö¶1480,“1483,“1484,“1485,“1503.Ž© GýÏl‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorŽ‘(Ê«:‘ +Ÿ™”‰feŽ‘,‘"±210Ž‘"±Ÿ™”‰feŽ–"´,‘"±253Ž‘"±Ÿ™”‰feŽ“,‘"±254Ž‘"±Ÿ™”‰feŽ“,‘"±304Ž‘"±Ÿ™”‰feŽ“,‘"±305Ž‘"±Ÿ™”‰feŽ“,‘"±312Ž‘"±Ÿ™”‰feŽ“,‘"±313Ž‘"±Ÿ™”‰feŽ“,‘"±314Ž‘"±Ÿ™”‰feŽ“,ަ’à¦315Ž’ট™”‰feŽ’à©,‘Ò317Ž‘ÒŸ™”‰feŽ–Õ,‘Ò318Ž‘ÒŸ™”‰feŽ“,‘Ò319Ž‘ÒŸ™”‰feŽ“,‘Ò320Ž‘ÒŸ™”‰feŽ“,‘Ò322Ž‘ÒŸ™”‰feŽ“,‘Ò323Ž‘ÒŸ™”‰feŽ“,‘Ò324Ž‘ÒŸ™”‰feŽ“,‘Ò325Ž‘ÒŸ™”‰feŽ“,‘Ò327Ž‘ÒŸ™”‰feŽ“,ަ’à¦328Ž’ট™”‰feŽ’à©,‘Ò329Ž‘ÒŸ™”‰feŽ–Õ,‘Ò330Ž‘ÒŸ™”‰feŽ“,‘Ò332Ž‘ÒŸ™”‰feŽ“,‘Ò333Ž‘ÒŸ™”‰feŽ“,‘Ò334Ž‘ÒŸ™”‰feŽ“,‘Ò335Ž‘ÒŸ™”‰feŽ“,‘Ò337Ž‘ÒŸ™”‰feŽ“,‘Ò338Ž‘ÒŸ™”‰feŽ“,‘Ò339Ž‘ÒŸ™”‰feŽ“,ަ’à¦340Ž’ট™”‰feŽ’à©,‘Ò398Ž‘ÒŸ™”‰feŽ–Õ,‘Ò399Ž‘ÒŸ™”‰feŽ“,–Ò400,“402Ž“Ÿ™”‰feŽ›Õ,“403Ž“Ÿ™”‰feŽ˜,“431Ž“Ÿ™”‰feŽ˜,“432Ž“Ÿ™”‰feŽ˜,“442Ž“Ÿ™”‰feŽ˜,“443Ž“Ÿ™”‰feŽ˜,ަ’à¦472Ž’ট™”‰feŽ’à©,–Ò516,“517Ž“Ÿ™”‰feŽ›Õ,“548Ž“Ÿ™”‰feŽ˜,“549,“553,“554Ž“Ÿ™”‰feŽ˜,“742Ž“Ÿ™”‰feŽ˜,“743Ž“Ÿ™”‰feŽ˜,“839Ž“Ÿ™”‰feŽ˜,ަ’à¦840Ž’ট™”‰feŽ’à©,‘866Ž‘Ÿ™”‰feŽ–,‘867Ž‘Ÿ™”‰feŽ“,‘967Ž‘Ÿ™”‰feŽ“,‘968Ž‘Ÿ™”‰feŽ“,‘1341Ž‘Ÿ™”‰feŽ–,‘1342Ž‘Ÿ™”‰feŽ“,‘1364Ž‘Ÿ™”‰feŽ“,‘1365Ž‘Ÿ™”‰feŽ“.Ž¡’ôà¤ÏfalseŽ’ è«:‘ +17,–e47,“49,“59,“61,“64,“65,“66,“69,“71,“72,“74,ަ’à¦97,–èÔ98,“99,“141,“143,“159,“161,“174,“182,“187,ަ’à¦188,–Ò209,“216,“229,“248,“269,“273,“274,“280,“283,ަ’à¦287,–Ò346,“350,“351,“356,“357,“380,“395,“399,“401,ަ’à¦405,–Ò409,“411,“419,“420,“431,“432,“437,“439,“443,ަ’à¦446,–Ò448,“452,“458,“461,“462,“463,“464,“472,“505,ަ’à¦507,–Ò508,“517,“518,“521,“527,“529,“530,“541,“546,ަ’à¦548,–Ò549,“550,“552,“561,“573,“603,“605,“607,“637,ަ’à¦641,–Ò644,“658,“661,“664,“666,“669,“671,“674,“676,ަ’à¦678,–Ò681,“683,“685,“687,“726,“743,“749,“750,“775,ަ’à¦776,–Ò777,“794,“802,“807,“824,“829,“830,“831,“840,ަ’à¦842,–Ò843,“844,“847,“849,“853,“857,“868,“872,“873,ަ’à¦874,–>l875,“881,“882,“897,“904,“906,“911,“912,ަ’à¦920,–>l928,“943,“944,“945,“948,“949,“952,“954,ŽŽŽŽŽŒ‹ïî  Šn ý‘ì·x«1525–­3DLDFPRÃŽG’A²ùINDEX“«495Ž €n ý•@P‘961,–~l968,“985,“988,“996,“999,“1030,“1033,“1036,ޤ ‘1040,–<„1042,“1062,“1065,“1070,“1075,“1077,“1083,Ž¡‘1107,–<„1110,“1122,“1123,“1126,“1127,“1130,“1132,Ž¡‘1163,–<„1168,“1175,“1176,“1179,“1188,“1192,“1193,Ž¡‘1196,–<„1197,“1203,“1204,“1213,“1214,“1240,“1243,Ž¡‘1248,–<„1258,“1259,“1267,“1268,“1284,“1287,“1290,Ž¡‘1299,–<„1300,“1302,“1308,“1317,“1344,“1367,“1370,Ž¡‘1372,–<„1376,“1380,“1382,“1384,“1385,“1387,“1388,Ž¡‘1390,–<„1393,“1396,“1399,“1416,“1418,“1420,“1440,Ž¡‘1443,–<„1457,“1460,“1462,“1464,“1471,“1474,“1475,Ž¡‘1476,–ö¶1485,“1488,“1489,“1490,“1508.Ž© GýÏl‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorŽ‘(Ê«:‘ 801Ž‘ Ÿ™”‰feŽ‘,‘Ój802Ž‘ÓjŸ™”‰feŽ–Óm,‘Ój803Ž‘ÓjŸ™”‰feŽ“,‘Ój804Ž‘ÓjŸ™”‰feŽ“,–Ój805,“806Ž“Ÿ™”‰feŽ›Óm,“807Ž“Ÿ™”‰feŽ˜,Ž¡‘808Ž‘Ÿ™”‰feŽ‘#,‘wÁ809Ž‘wÁŸ™”‰feŽ‘wÄ.Ž¦Ï g‘‰ffŽ‘®numŽ‘"XÓ«:‘ 39Ž‘ Ÿ™”‰fe Ž‘,‘Ë®40Ž‘Ë®Ÿ™”‰fe Ž‘˰,–Ë®48,“50.Ž¦Ï l‘‚ØlŽ‘ Éó«:‘ -553,‘·,801Ž‘·,Ÿ™”‰feŽ–·/,‘·,802Ž‘·,Ÿ™”‰feŽ“,‘·,803Ž‘·,Ÿ™”‰feŽ“,‘·,804Ž‘·,Ÿ™”‰feŽ“,–·,805,“966,“967,“1279,Ž¡‘1380,‘ûs1381Ž‘ûsŸ™”‰feŽ–ûw,‘ûs1382Ž‘ûsŸ™”‰feŽ“.ަÝFILLŽ‘†\«:‘ +553,‘·,801Ž‘·,Ÿ™”‰feŽ–·/,‘·,802Ž‘·,Ÿ™”‰feŽ“,‘·,803Ž‘·,Ÿ™”‰feŽ“,‘·,804Ž‘·,Ÿ™”‰feŽ“,–·,805,“969,“970,“1284,Ž¡‘1385,‘ûs1386Ž‘ûsŸ™”‰feŽ–ûw,‘ûs1387Ž‘ûsŸ™”‰feŽ“.ަÝFILLŽ‘†\«:‘ 199Ž‘ -Ÿ™”‰feŽ‘,‘]ˆ201Ž‘]ˆŸ™”‰feŽ‘]‹,–]ˆ802,“859,“1380.Ž¦Ï l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorŽ‘%˜U«:‘ +Ÿ™”‰feŽ‘,‘]ˆ201Ž‘]ˆŸ™”‰feŽ‘]‹,–]ˆ802,“859,“1385.Ž¦Ï l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorŽ‘%˜U«:‘ 654Ž‘ -Ÿ™”‰feŽ‘,–Íç657,“661,“664,“666,“669,“671,“674,Ž¡‘676,–>l681,“685,“686,“687,“701,“703,“775,“776,Ž¡‘801,–>l802,“806,“807,“813,“821,“824,“859,“864,Ž¡‘869,– ³1279,“1380.Ž¦Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“innerŽ‘@g«:‘ -1278Ž‘ -Ÿ™”‰feŽ‘,‘šš1279Ž‘ššŸ™”‰feŽ‘šž.Ž¦Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“iterŽ‘8zÿ«:‘ -1383,‘´®1385.Ž¦Ï l›‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“midd˜leŽ‘FM«:‘ -1278Ž‘ -Ÿ™”‰feŽ‘,‘‡æ1279Ž‘‡æŸ™”‰feŽ‘‡ê.Ž¦Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“outerŽ‘?ä;«:‘ -1278Ž‘ -Ÿ™”‰feŽ‘,‘œH1279Ž‘œHŸ™”‰feŽ‘œL.Ž¦Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“ptrŽ‘5ìÈ«:‘ -1383,‘½1385Ž‘½Ÿ™”‰feŽ‘½.Ž¦Ï l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorsŽ‘)m©«:‘ -1383,‘ŒG1384Ž‘ŒGŸ™”‰feŽ–ŒK,‘ŒG1385Ž‘ŒGŸ™”‰feŽ“.Ž¦Ï l‘‚Øl‘‰ffŽ–®dr‘ÿ}'aw‘‰ffŽ“valueŽ‘>¬«:‘ +Ÿ™”‰feŽ‘,–Íç657,“661,“664,“666,“669,“671,“674,Ž¡‘676,–>l681,“685,“686,“687,“701,“703,“775,“776,Ž¡‘801,–>l802,“806,“807,“813,“821,“824,“859,“864,Ž¡‘869,– ³1284,“1385.Ž¦Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“innerŽ‘@g«:‘ +1283Ž‘ +Ÿ™”‰feŽ‘,‘šš1284Ž‘ššŸ™”‰feŽ‘šž.Ž¦Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“iterŽ‘8zÿ«:‘ +1388,‘´®1390.Ž¦Ï l›‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“midd˜leŽ‘FM«:‘ +1283Ž‘ +Ÿ™”‰feŽ‘,‘‡æ1284Ž‘‡æŸ™”‰feŽ‘‡ê.Ž¦Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“outerŽ‘?ä;«:‘ +1283Ž‘ +Ÿ™”‰feŽ‘,‘œH1284Ž‘œHŸ™”‰feŽ‘œL.Ž¦Ï l‘‚Øl‘‰ffŽ–®c‘ÿ}'olor‘‰ffŽ“ptrŽ‘5ìÈ«:‘ +1388,‘½1390Ž‘½Ÿ™”‰feŽ‘½.Ž¦Ï l‘‚Øl‘‰ffŽ‘®c‘ÿ}'olorsŽ‘)m©«:‘ +1388,‘ŒG1389Ž‘ŒGŸ™”‰feŽ–ŒK,‘ŒG1390Ž‘ŒGŸ™”‰feŽ“.Ž¦Ï l‘‚Øl‘‰ffŽ–®dr‘ÿ}'aw‘‰ffŽ“valueŽ‘>¬«:‘ 654Ž‘ Ÿ™”‰feŽ‘,–œ3657,“661,“664,“666,“669,“671,Ž¡‘674,–>l676,“681,“693,“776,“802,“807,“813,“821,Ž¡‘824,–A859,“861,“862,“863,“866,“867.Ž¦Ï l›‚Øl‘‰ffŽ–®out‘‰ffŽ“el˜lipseŽ‘<Áh«:‘ -1221.Ž¦Ï l‘‚Øldr‘ÿ}'awŽ‘!gk«:‘ -553,–_805,“806Ž“Ÿ™”‰feŽ›b,“807Ž“Ÿ™”‰feŽ˜,“808Ž“Ÿ™”‰feŽ˜,“809Ž“Ÿ™”‰feŽ˜,“966,“967,Ž¡‘1279,‘Kx1384Ž‘KxŸ™”‰feŽ–K|,‘Kx1385Ž‘KxŸ™”‰feŽ“,–Kx1393,“1501.ަÝFILLDRAWŽ‘*†P«:‘ +1226.Ž¦Ï l‘‚Øldr‘ÿ}'awŽ‘!gk«:‘ +553,–_805,“806Ž“Ÿ™”‰feŽ›b,“807Ž“Ÿ™”‰feŽ˜,“808Ž“Ÿ™”‰feŽ˜,“809Ž“Ÿ™”‰feŽ˜,“969,“970,Ž¡‘1284,‘Kx1389Ž‘KxŸ™”‰feŽ–K|,‘Kx1390Ž‘KxŸ™”‰feŽ“,–Kx1398,“1506.ަÝFILLDRAWŽ‘*†P«:‘ 199Ž‘ -Ÿ™”‰feŽ‘,‘ø201Ž‘øŸ™”‰feŽ‘û,–ø807,“859,“1383.Ž¦Ï rstŽ‘µª«:‘ +Ÿ™”‰feŽ‘,‘ø201Ž‘øŸ™”‰feŽ‘û,–ø807,“859,“1388.Ž¦Ï rstŽ‘µª«:‘ 13Ž‘ Ÿ™”‰fe -Ž‘,–+b30,“270Ž“Ÿ™”‰feŽ‘+e,“271,“355,“541,“603,“633,“945,Ž¡‘946,–>l955,“956,“957,“958,“960,“985,“987,“988,Ž¡‘996,–1130,“1131,“1132,“1158,“1159,“1174,“1179,Ž¡‘1181,–Kx1183,“1216,“1223,“1263.Ž¦Ï rst‘‰ffŽ–®p‘ÿ}'oint‘‰ffŽ“ptrŽ‘<‘¿«:‘ +Ž‘,–+b30,“270Ž“Ÿ™”‰feŽ‘+e,“271,“355,“541,“603,“633,“948,Ž¡‘949,–>l958,“959,“960,“961,“963,“988,“990,“991,Ž¡‘999,–1135,“1136,“1137,“1163,“1164,“1179,“1184,Ž¡‘1186,–Kx1188,“1221,“1228,“1268.Ž¦Ï rst‘‰ffŽ–®p‘ÿ}'oint‘‰ffŽ“ptrŽ‘<‘¿«:‘ 667Ž‘ Ÿ™”‰feŽ‘,–­672,“673Ž“Ÿ™”‰feŽ›­ ,“674Ž“Ÿ™”‰feŽ˜,“675Ž“Ÿ™”‰feŽ˜,“676Ž“Ÿ™”‰feŽ˜.Ž¦Ï rst‘‰ffŽ‘®r‘ÿ}'owŽ‘%úv«:‘ -1278Ž‘ -Ÿ™”‰feŽ‘,‘ñ–1279Ž‘ñ–Ÿ™”‰feŽ‘ñš.Ž¦Ï xe‘ÿ}'dŽ‘f«:‘ -44,–ÿh864,“1507.Ž¦Ï o‘ÿ}'at eldŽ‘&X«:‘ -44,‘M1507.Ž¦Ï o‘ÿ}'atsŽ‘Tð«:‘ +1283Ž‘ +Ÿ™”‰feŽ‘,‘ñ–1284Ž‘ñ–Ÿ™”‰feŽ‘ñš.Ž¦Ï xe‘ÿ}'dŽ‘f«:‘ +44,–ÿh864,“1512.Ž¦Ï o‘ÿ}'at eldŽ‘&X«:‘ +44,‘M1512.Ž¦Ï o‘ÿ}'atsŽ‘Tð«:‘ 12,–˺24,“138,“502.Ž¦Ï o‘ÿ}'orŽ‘d–«:‘ -1180,‘(/1251.ަÝFLT_MAXŽ‘%FS«:‘ +1185,‘(/1256.ަÝFLT_MAXŽ‘%FS«:‘ 7,‘F416.Ž¦Ï ushŽ‘¸ü«:‘ -32,–48,“50,“106,“108,“148,“151,“153,“161,“174,Ž¡‘182,–Ò183,“184,“185,“186,“188,“249,“313,“318,“346,Ž¡‘350,–Ò351,“380,“382,“383,“385,“387,“388,“393,“399,Ž¡‘400,–Ò401,“405,“411,“432,“443,“446,“448,“452,“458,Ž¡‘462,–Ò464,“472,“508,“517,“519,“521,“522,“530,“531,Ž¡‘532,–Ò533,“534,“535,“536,“537,“538,“540,“541,“546,Ž¡‘548,–Ò549,“550,“551,“552,“553,“561,“572,“574,“603,Ž¡‘605,–Ò606,“607,“624,“641,“644,“646,“661,“664,“669,Ž¡‘674,–Ò678,“681,“683,“685,“743,“750,“765,“776,“802,Ž¡‘807,–Ò813,“821,“824,“830,“842,“843,“844,“847,“849,Ž¡‘857,–Ò858,“859,“861,“862,“863,“864,“867,“873,“875,Ž¡‘880,–Ò883,“884,“885,“886,“888,“890,“894,“895,“896,Ž¡‘897,–>l898,“900,“901,“903,“909,“911,“918,“919,Ž¡‘924,–>l930,“946,“948,“951,“952,“954,“955,“957,Ž¡‘958,–>l959,“960,“962,“965,“976,“978,“982,“983,ŽŽ ý•@P’à¦986,–¾l987,“989,“991,“993,“995,“996,“1030,“1031,ޤ ’à¦1033,–<„1034,“1067,“1081,“1083,“1105,“1122,“1129,Ž¡’à¦1140,–<„1142,“1163,“1168,“1172,“1174,“1175,“1177,Ž¡’à¦1178,–<„1179,“1180,“1181,“1183,“1188,“1216,“1223,Ž¡’à¦1224,–<„1254,“1263,“1265,“1269,“1279,“1282,“1285,Ž¡’à¦1303,–<„1312,“1325,“1337,“1339,“1360,“1362,“1365,Ž¡’à¦1367,–<„1377,“1379,“1380,“1382,“1383,“1385,“1388,Ž¡’à¦1391,–<„1394,“1428,“1439,“1455,“1456,“1458,“1469,Ž¡’à¦1471,–ö¶1483,“1503,“1507,“1508,“1511.ޤ K’ôà¤Ïfmo‘ÿ}'dŽ’ `ž«:‘ -965,‘51285.Ž¡’ôà¤Ïfmt agsŽ’t$«:‘ -1507.Ž¡’ôà¤Ïfo‘ÿ}'cusŽ’ îy«:‘ +32,–48,“50,“106,“108,“148,“151,“153,“161,“174,Ž¡‘182,–Ò183,“184,“185,“186,“188,“249,“313,“318,“346,Ž¡‘350,–Ò351,“380,“382,“383,“385,“387,“388,“393,“399,Ž¡‘400,–Ò401,“405,“411,“432,“443,“446,“448,“452,“458,Ž¡‘462,–Ò464,“472,“508,“517,“519,“521,“522,“530,“531,Ž¡‘532,–Ò533,“534,“535,“536,“537,“538,“540,“541,“546,Ž¡‘548,–Ò549,“550,“551,“552,“553,“561,“572,“574,“603,ŽŽ ý•@P’à¦605,–Ò606,“607,“624,“641,“644,“646,“661,“664,“669,ޤ ’à¦674,–Ò678,“681,“683,“685,“743,“750,“765,“776,“802,Ž¡’à¦807,–Ò813,“821,“824,“830,“842,“843,“844,“847,“849,Ž¡’à¦857,–Ò858,“859,“861,“862,“863,“864,“867,“873,“875,Ž¡’à¦880,–Ò883,“884,“885,“886,“889,“891,“893,“897,“898,Ž¡’à¦899,–Ò900,“901,“903,“904,“906,“912,“914,“921,“922,Ž¡’à¦927,–Ò933,“949,“951,“954,“955,“957,“958,“960,“961,Ž¡’à¦962,–>l963,“965,“968,“979,“981,“985,“986,“989,Ž¡’à¦990,–~l992,“994,“996,“998,“999,“1033,“1034,“1036,Ž¡’à¦1037,–<„1070,“1086,“1088,“1110,“1127,“1134,“1145,Ž¡’à¦1147,–<„1168,“1173,“1177,“1179,“1180,“1182,“1183,Ž¡’à¦1184,–<„1185,“1186,“1188,“1193,“1221,“1228,“1229,Ž¡’à¦1259,–<„1268,“1270,“1274,“1284,“1287,“1290,“1308,Ž¡’à¦1317,–<„1330,“1342,“1344,“1365,“1367,“1370,“1372,Ž¡’à¦1382,–<„1384,“1385,“1387,“1388,“1390,“1393,“1396,Ž¡’à¦1399,–<„1433,“1444,“1460,“1461,“1463,“1474,“1476,Ž¡’à¦1488,–£ÿ1508,“1512,“1513,“1515,“1516,“1519.ޤ e¡’ôà¤Ïfmo‘ÿ}'dŽ’ `ž«:‘ +968,‘51290.Ž¡’ôà¤Ïfmt agsŽ’t$«:‘ +1512.Ž¡’ôà¤Ïfo‘ÿ}'cusŽ’ îy«:‘ 856.Ž¡’ôà¤ÂF‘ÿ «oQÇcusŽ’Õð«:‘ 33Ž‘ Ÿ™”‰fe -Ž‘,–h4122,“200,“210,“252,“253,“264,“311,“312,ޤ ’à¦313,–Ò314,“315,“317,“318,“319,“320,“322,“323,“324,Ž¡’à¦325,–Ò327,“328,“329,“330,“332,“333,“334,“335,“337,Ž¡’à¦338,–>l339,“340,“397,“398,“399,“402,“431,“432,Ž¡’à¦442,–>l443,“453,“457,“472,“547,“548,“549,“552,Ž¡’à¦553,‘>l556Ž‘>lŸ™”‰feŽ›>o,–>l557,“558Ž“Ÿ™”‰feŽ˜,“559,“560,“561Ž“Ÿ™”‰feŽ˜,“563,“565,Ž¡’à¦566Ž’ট™”‰feŽ’à©,–>l568,“569,“570,“572,“574,“575,“581,“582,Ž¡’à¦584,–>l585,“586,“587,“742,“743,“839,“840,“844,Ž¡’à¦866,–Òd867,“920,“1336,“1337,“1359,“1360.ޤ K’ôà¤ÏF‘ÿ;¼o‘ÿ}'cusesŽ’P•«:‘ -122,‘*920.Ž¡’ôà¤Ïfo‘ÿ}'cus0Ž’“Ϋ:‘ -1098Ž‘ -Ÿ™”‰feŽ‘,–”1104,“1105,“1115,“1140,“1142,“1162,Ž© ’à¦1187,–¢[1188,“1203,“1204.Ž¡’ôà¤Ïfo‘ÿ}'cus1Ž’“Ϋ:‘ -1098Ž‘ -Ÿ™”‰feŽ‘,–”1104,“1105,“1115,“1140,“1142,“1187,ަ’à¦1188,–ûs1203,“1204.Ž¡’ôà¤ÏfoundŽ’³«:‘ -985Ž‘ +Ž‘,–h4122,“200,“210,“252,“253,“264,“311,“312,ޤ ’à¦313,–Ò314,“315,“317,“318,“319,“320,“322,“323,“324,Ž¡’à¦325,–Ò327,“328,“329,“330,“332,“333,“334,“335,“337,Ž¡’à¦338,–>l339,“340,“397,“398,“399,“402,“431,“432,Ž¡’à¦442,–>l443,“453,“457,“472,“547,“548,“549,“552,Ž¡’à¦553,‘>l556Ž‘>lŸ™”‰feŽ›>o,–>l557,“558Ž“Ÿ™”‰feŽ˜,“559,“560,“561Ž“Ÿ™”‰feŽ˜,“563,“565,Ž¡’à¦566Ž’ট™”‰feŽ’à©,–>l568,“569,“570,“572,“574,“575,“581,“582,Ž¡’à¦584,–>l585,“586,“587,“742,“743,“839,“840,“844,Ž¡’à¦866,–Òd867,“923,“1341,“1342,“1364,“1365.ޤ e¡’ôà¤ÏF‘ÿ;¼o‘ÿ}'cusesŽ’P•«:‘ +122,‘*923.Ž¡’ôà¤Ïfo‘ÿ}'cus0Ž’“Ϋ:‘ +1103Ž‘ +Ÿ™”‰feŽ‘,–”1109,“1110,“1120,“1145,“1147,“1167,Ž© ’à¦1192,–¢[1193,“1208,“1209.Ž¡’ôà¤Ïfo‘ÿ}'cus1Ž’“Ϋ:‘ +1103Ž‘ +Ÿ™”‰feŽ‘,–”1109,“1110,“1120,“1145,“1147,“1192,ަ’à¦1193,–ûs1208,“1209.Ž¡’ôà¤ÏfoundŽ’³«:‘ +988Ž‘ Ÿ™”‰feŽ‘.Ž¡’ôà¤ÏfourthŽ’Y«:‘ 270Ž‘ -Ÿ™”‰feŽ‘,–*û271,“1179,“1181,“1183.Ž¡’ôà¤Ïfr‘ÿ}'ontŽ’ *5«:‘ -930,–)985,“987,“994,“1374,“1469.Ž¡’ôऱgŽ’ú‡«:‘ +Ÿ™”‰feŽ‘,–*û271,“1184,“1186,“1188.Ž¡’ôà¤ÏfpŽ’þ2–«:‘ +16Ž‘ +Ÿ™”‰fe +Ž‘.Ž¡’ôà¤Ïfr‘ÿ}'ontŽ’ *5«:‘ +933,–)988,“990,“997,“1379,“1474.Ž¡’ôऱgŽ’ú‡«:‘ 63Ž‘ Ÿ™”‰fe Ž‘,‘’V64Ž‘’VŸ™”‰fe @@ -6941,136 +7039,136 @@ Ž“,‘’V85Ž‘’VŸ™”‰fe Ž“,‘’V88Ž‘’VŸ™”‰fe Ž“,‘’V89Ž‘’VŸ™”‰fe -Ž“,‘’V1337Ž‘’VŸ™”‰feŽ‘’Z.Ž¡’ôà¤Ïget‘‰ffŽ–®al‘‚Øl‘‰ffŽ“c–ÿ}'o“or“dsŽ’/‡·«:‘ +Ž“,‘’V1342Ž‘’VŸ™”‰feŽ‘’Z.Ž¡’ôà¤Ïget‘‰ffŽ–®al‘‚Øl‘‰ffŽ“c–ÿ}'o“or“dsŽ’/‡·«:‘ 312Ž‘ Ÿ™”‰feŽ‘,‘³313Ž‘³Ÿ™”‰feŽ–³ ,‘³314Ž‘³Ÿ™”‰feŽ“,‘³315Ž‘³Ÿ™”‰feŽ“,–³432,“867.Ž¡’ôà¤Ïget‘‰ffŽ–®axis‘‰ffŽ“hŽ’ í«:‘ -1085Ž‘ -Ÿ™”‰feŽ‘,‘@1086Ž‘@Ÿ™”‰feŽ‘@,–@1128,“1129,“1131,“1132,ަ’à¦1147,‘¿ 1154Ž‘¿ Ÿ™”‰feŽ–¿ ,‘¿ 1155Ž‘¿ Ÿ™”‰feŽ“,‘¿ 1156Ž‘¿ Ÿ™”‰feŽ“,‘¿ 1157Ž‘¿ Ÿ™”‰feŽ“,–¿ 1158,“1159,ަ’à¦1163,–¢[1172,“1178,“1251.Ž¡’ôà¤Ïget‘‰ffŽ–®axis‘‰ffŽ“vŽ’Ú>«:‘ -1087Ž‘ -Ÿ™”‰feŽ‘,‘C 1088Ž‘C Ÿ™”‰feŽ‘C$,–C 1128,“1129,“1131,“1132,ަ’à¦1147,‘¿ 1149Ž‘¿ Ÿ™”‰feŽ–¿ ,‘¿ 1150Ž‘¿ Ÿ™”‰feŽ“,‘¿ 1151Ž‘¿ Ÿ™”‰feŽ“,‘¿ 1152Ž‘¿ Ÿ™”‰feŽ“,–¿ 1158,“1159,ަ’à¦1163,–¢[1172,“1178,“1251.Ž¡’ôà¤Ïget‘‰ffŽ–®blue‘‰ffŽ“p‘ÿ}'artŽ’,—^«:‘ +1090Ž‘ +Ÿ™”‰feŽ‘,‘@1091Ž‘@Ÿ™”‰feŽ‘@,–@1133,“1134,“1136,“1137,ަ’à¦1152,‘¿ 1159Ž‘¿ Ÿ™”‰feŽ–¿ ,‘¿ 1160Ž‘¿ Ÿ™”‰feŽ“,‘¿ 1161Ž‘¿ Ÿ™”‰feŽ“,‘¿ 1162Ž‘¿ Ÿ™”‰feŽ“,–¿ 1163,“1164,ަ’à¦1168,–¢[1177,“1183,“1256.Ž¡’ôà¤Ïget‘‰ffŽ–®axis‘‰ffŽ“vŽ’Ú>«:‘ +1092Ž‘ +Ÿ™”‰feŽ‘,‘C 1093Ž‘C Ÿ™”‰feŽ‘C$,–C 1133,“1134,“1136,“1137,ަ’à¦1152,‘¿ 1154Ž‘¿ Ÿ™”‰feŽ–¿ ,‘¿ 1155Ž‘¿ Ÿ™”‰feŽ“,‘¿ 1156Ž‘¿ Ÿ™”‰feŽ“,‘¿ 1157Ž‘¿ Ÿ™”‰feŽ“,–¿ 1163,“1164,ަ’à¦1168,–¢[1177,“1183,“1256.Ž¡’ôà¤Ïget‘‰ffŽ–®blue‘‰ffŽ“p‘ÿ}'artŽ’,—^«:‘ 61,–0Ž93,“99Ž“Ÿ™”‰fe Ž‘0,“104,“106.Ž¡’ôà¤Ïget‘‰ffŽ‘®c‘ÿ}'enterŽ’!ë«:‘ -954,‘!975Ž‘!Ÿ™”‰feŽ–$,‘!976Ž‘!Ÿ™”‰feŽ“,‘!977Ž‘!Ÿ™”‰feŽ“,‘!978Ž‘!Ÿ™”‰feŽ“,–!1079,“1122,ަ’à¦1134Ž’ট™”‰feŽ’àª,‘<„1135Ž‘<„Ÿ™”‰feŽ–<ˆ,‘<„1136Ž‘<„Ÿ™”‰feŽ“,‘<„1137Ž‘<„Ÿ™”‰feŽ“,–<„1150,“1152,“1155,“1157,ަ’à¦1158,–<„1159,“1173,“1174,“1177,“1188,“1214,“1223,ަ’à¦1224,–<„1253,“1254,“1282,“1289,“1308Ž“Ÿ™”‰feŽ›<ˆ,“1309Ž“Ÿ™”‰feŽ˜,“1325,ަ’à¦1438,–£ÿ1446,“1456,“1460,“1469,“1471,“1473.Ž¡’ôà¤Ïget‘‰ffŽ‘®cir‘ÿ}'cleŽ’x>«:‘ -1307.Ž¡’ôà¤Ïget‘‰ffŽ–®cir›ÿ}'cle‘‰ffŽ“c˜enterŽ’;ì§«:‘ -1326Ž‘ -Ÿ™”‰feŽ‘,‘„º1327Ž‘„ºŸ™”‰feŽ‘„¾.Ž¡’ôà¤Ïget‘‰ffŽ–®cir‘ÿ}'cle‘‰ffŽ“ptrŽ’.ã«:‘ -1307,–¬é1310,“1311,“1313Ž“Ÿ™”‰feŽ›¬í,“1314Ž“Ÿ™”‰feŽ˜.Ž¡’ôà¤Ïget‘‰ffŽ‘®c–ÿ}'o“ecientsŽ’5Ñ«:‘ -943Ž‘ -Ÿ™”‰feŽ‘,– 7957,“1131Ž“Ÿ™”‰feŽ› ;,“1132Ž“Ÿ™”‰feŽ˜.Ž¡’ôà¤Ïget‘‰ffŽ‘®c–ÿ}'o“or“dŽ’=”«:‘ -316,‘¨œ317Ž‘¨œŸ™”‰feŽ–¨Ÿ,‘¨œ318Ž‘¨œŸ™”‰feŽ“,‘¨œ319Ž‘¨œŸ™”‰feŽ“,‘¨œ320Ž‘¨œŸ™”‰feŽ“,–¨œ323,“325,“328,ަ’à¦330,–š¶333,“335,“338,“340.Ž¡’ôà¤Ïget‘‰ffŽ‘®c‘ÿ}'opyŽ’¤X«:‘ +957,‘!978Ž‘!Ÿ™”‰feŽ–$,‘!979Ž‘!Ÿ™”‰feŽ“,‘!980Ž‘!Ÿ™”‰feŽ“,‘!981Ž‘!Ÿ™”‰feŽ“,–!1084,“1127,ަ’à¦1139Ž’ট™”‰feŽ’àª,‘<„1140Ž‘<„Ÿ™”‰feŽ–<ˆ,‘<„1141Ž‘<„Ÿ™”‰feŽ“,‘<„1142Ž‘<„Ÿ™”‰feŽ“,–<„1155,“1157,“1160,“1162,ަ’à¦1163,–<„1164,“1178,“1179,“1182,“1193,“1219,“1228,ަ’à¦1229,–<„1258,“1259,“1287,“1294,“1313Ž“Ÿ™”‰feŽ›<ˆ,“1314Ž“Ÿ™”‰feŽ˜,“1330,ަ’à¦1443,–£ÿ1451,“1461,“1465,“1474,“1476,“1478.ŽŽŽŽŽŒ‹ðÈ Šn ý‘ì«496–­INDEX’A²ù3DLDFPRÃŽG“·x«1525Ž €n ý•@PÏget‘‰ffŽ‘®cir‘ÿ}'cleŽ‘(—š«:‘ +1312.ޤ 4[Ïget‘‰ffŽ–®cir›ÿ}'cle‘‰ffŽ“c˜enterŽ‘G «:‘ +1331Ž‘ +Ÿ™”‰feŽ‘,‘„º1332Ž‘„ºŸ™”‰feŽ‘„¾.Ž¡Ïget‘‰ffŽ–®cir‘ÿ}'cle‘‰ffŽ“ptrŽ‘9??«:‘ +1312,–¬é1315,“1316,“1318Ž“Ÿ™”‰feŽ›¬í,“1319Ž“Ÿ™”‰feŽ˜.Ž¡Ïget‘‰ffŽ‘®c–ÿ}'o“ecientsŽ‘@ðr«:‘ +946Ž‘ +Ÿ™”‰feŽ‘,– 7960,“1136Ž“Ÿ™”‰feŽ› ;,“1137Ž“Ÿ™”‰feŽ˜.Ž¡Ïget‘‰ffŽ‘®c–ÿ}'o“or“dŽ‘(\ð«:‘ +316,‘¨œ317Ž‘¨œŸ™”‰feŽ–¨Ÿ,‘¨œ318Ž‘¨œŸ™”‰feŽ“,‘¨œ319Ž‘¨œŸ™”‰feŽ“,‘¨œ320Ž‘¨œŸ™”‰feŽ“,–¨œ323,“325,“328,Ž© ‘330,–š¶333,“335,“338,“340.Ž¡Ïget‘‰ffŽ‘®c‘ÿ}'opyŽ‘$ô«:‘ 200Ž‘ -Ÿ™”‰feŽ‘,‘Ù210Ž‘ÙŸ™”‰feŽ›Ù,–Ù222,“342Ž“Ÿ™”‰feŽ˜,“343Ž“Ÿ™”‰feŽ˜,“471Ž“Ÿ™”‰feŽ˜,“543,“545,ަ’à¦688Ž’ট™”‰feŽ’à©,‘Âí689Ž‘Âퟙ”‰feŽ‘Âð,‘Âí1304Ž‘Âퟙ”‰feŽ–Âñ,‘Âí1305Ž‘Âퟙ”‰feŽ“,–Âí1311,“1312,“1375.Ž¡’ôà¤Ïget‘‰ffŽ‘®diameterŽ’,ßU«:‘ -1256Ž‘ -Ÿ™”‰feŽ‘.ŽŽŽŽŽŒ‹ëÝ Šn ý‘ì·x«1517–­3DLDFPRÃŽG’A²ùINDEX“«491Ž €n ý•@PÏget‘‰ffŽ‘®dir–ÿ}'e“ctionŽ‘7,­«:‘ +Ÿ™”‰feŽ‘,‘Ù210Ž‘ÙŸ™”‰feŽ›Ù,–Ù222,“342Ž“Ÿ™”‰feŽ˜,“343Ž“Ÿ™”‰feŽ˜,“471Ž“Ÿ™”‰feŽ˜,“543,“545,ަ‘688Ž‘Ÿ™”‰feŽ‘#,‘Âí689Ž‘Âퟙ”‰feŽ‘Âð,‘Âí1309Ž‘Âퟙ”‰feŽ–Âñ,‘Âí1310Ž‘Âퟙ”‰feŽ“,–Âí1316,“1317,“1380.Ž¡Ïget‘‰ffŽ‘®diameterŽ‘7þ±«:‘ +1261Ž‘ +Ÿ™”‰feŽ‘.Ž¡Ïget‘‰ffŽ‘®dir–ÿ}'e“ctionŽ‘7,­«:‘ 577Ž‘ -Ÿ™”‰feŽ‘.ޤ 5þÏget‘‰ffŽ‘®distanc‘ÿ}'eŽ‘4y¹«:‘ -12,–3B401,“578Ž“Ÿ™”‰feŽ›3E,“603,“604Ž“Ÿ™”‰feŽ˜,“605Ž“Ÿ™”‰feŽ˜,“633Ž“Ÿ™”‰feŽ˜,“634Ž“Ÿ™”‰feŽ˜,Ž© ‘635Ž‘Ÿ™”‰feŽ‘#,‘A636Ž‘AŸ™”‰feŽ‘D,–A637,“945,“946,“951,“982.Ž¡Ïget‘‰ffŽ‘®elementŽ‘3#®«:‘ +Ÿ™”‰feŽ‘.Ž¡Ïget‘‰ffŽ‘®distanc‘ÿ}'eŽ‘4y¹«:‘ +12,–3B401,“578Ž“Ÿ™”‰feŽ›3E,“603,“604Ž“Ÿ™”‰feŽ˜,“605Ž“Ÿ™”‰feŽ˜,“633Ž“Ÿ™”‰feŽ˜,“634Ž“Ÿ™”‰feŽ˜,ަ‘635Ž‘Ÿ™”‰feŽ‘#,‘A636Ž‘AŸ™”‰feŽ‘D,–A637,“948,“949,“954,“985.Ž¡Ïget‘‰ffŽ‘®elementŽ‘3#®«:‘ 122,‘ˆj145Ž‘ˆjŸ™”‰feŽ–ˆm,‘ˆj146Ž‘ˆjŸ™”‰feŽ“,–ˆj581,“582,“584,“585.Ž¡Ïget‘‰ffŽ‘®el‘‚ØlipseŽ‘,§«:‘ -1307.Ž¡Ïget‘‰ffŽ–®el‘‚Ølipse‘‰ffŽ“c‘ÿ}'enterŽ‘K«:‘ -1328Ž‘ -Ÿ™”‰feŽ‘,‘w°1329Ž‘w°Ÿ™”‰feŽ‘w´.Ž¡Ïget‘‰ffŽ–®el‘‚Ølipse‘‰ffŽ“ptrŽ‘=5L«:‘ -1307,– [1310,“1311,“1315Ž“Ÿ™”‰feŽ› _,“1316Ž“Ÿ™”‰feŽ˜.Ž¡Ïget‘‰ffŽ‘®extr‘ÿ}'emesŽ‘7D`«:‘ +1312.Ž¡Ïget‘‰ffŽ–®el‘‚Ølipse‘‰ffŽ“c‘ÿ}'enterŽ‘K«:‘ +1333Ž‘ +Ÿ™”‰feŽ‘,‘w°1334Ž‘w°Ÿ™”‰feŽ‘w´.Ž¡Ïget‘‰ffŽ–®el‘‚Ølipse‘‰ffŽ“ptrŽ‘=5L«:‘ +1312,– [1315,“1316,“1320Ž“Ÿ™”‰feŽ› _,“1321Ž“Ÿ™”‰feŽ˜.Ž¡Ïget‘‰ffŽ‘®extr‘ÿ}'emesŽ‘7D`«:‘ 200Ž‘ -Ÿ™”‰feŽ‘,‘žè444Ž‘žèŸ™”‰feŽ›žë,–žè551,“845Ž“Ÿ™”‰feŽ˜,“1362,“1363Ž“Ÿ™”‰feŽ‘žì.Ž¡Ïget‘‰ffŽ‘®fo‘ÿ}'cusŽ‘'A‘«:‘ -1139Ž‘ -Ÿ™”‰feŽ‘,‘åï1140Ž‘å”‰feŽ–åó,‘åï1141Ž‘å”‰feŽ“,‘åï1142Ž‘å”‰feŽ“,‘åï1163.Ž¡Ïget‘‰ffŽ›®gr–ÿ}'e“en‘‰ffŽ˜p“artŽ‘=5H«:‘ +Ÿ™”‰feŽ‘,‘žè444Ž‘žèŸ™”‰feŽ›žë,–žè551,“845Ž“Ÿ™”‰feŽ˜,“1367,“1368Ž“Ÿ™”‰feŽ‘žì.Ž¡Ïget‘‰ffŽ‘®fo‘ÿ}'cusŽ‘'A‘«:‘ +1144Ž‘ +Ÿ™”‰feŽ‘,‘åï1145Ž‘å”‰feŽ–åó,‘åï1146Ž‘å”‰feŽ“,‘åï1147Ž‘å”‰feŽ“,‘åï1168.Ž¡Ïget‘‰ffŽ›®gr–ÿ}'e“en‘‰ffŽ˜p“artŽ‘=5H«:‘ 61,–$93,“98Ž“Ÿ™”‰fe Ž‘&,“104,“106.Ž¡Ïget‘‰ffŽ–®last‘‰ffŽ“p‘ÿ}'ointŽ‘:$>«:‘ -716,–Ü¢721,“722,“750,“889Ž“Ÿ™”‰feޛܥ,“890Ž“Ÿ™”‰feŽ˜,“917,ަ‘918,–àf919,“962,“965,“981,“991,“1006,“1167,ަ‘1168,‘VÕ1211.Ž¡Ïget‘‰ffŽ‘®lineŽ‘!O«:‘ +716,–Ü¢721,“722,“750,“892Ž“Ÿ™”‰feޛܥ,“893Ž“Ÿ™”‰feŽ˜,“920,ަ‘921,–àf922,“965,“968,“984,“994,“1009,“1172,ަ‘1173,‘VÕ1216.Ž¡Ïget‘‰ffŽ‘®lineŽ‘!O«:‘ 309Ž‘ -Ÿ™”‰feŽ‘,–ö594,“601Ž“Ÿ™”‰feŽ›ù,“603,“929Ž“Ÿ™”‰feŽ˜,“930Ž“Ÿ™”‰feŽ˜.Ž¡Ïget‘‰ffŽ–®line‘‰ffŽ“switchŽ‘?Ö}«:‘ -418,–̸716,“717,“721,“748,“749,ަ‘876Ž‘Ÿ™”‰feŽ‘#,–,4879,“917.Ž¡Ïget‘‰ffŽ–®line›ÿ}'ar‘‰ffŽ“e˜c˜c˜entricityŽ‘^à—«:‘ -1143Ž‘ -Ÿ™”‰feŽ‘,‘6H1144Ž‘6HŸ™”‰feŽ‘6L.Ž¡Ïget‘‰ffŽ–®maximum‘‰ffŽ“zŽ‘Dm}«:‘ +Ÿ™”‰feŽ‘,–ö594,“601Ž“Ÿ™”‰feŽ›ù,“603,“932Ž“Ÿ™”‰feŽ˜,“933Ž“Ÿ™”‰feŽ˜.Ž¡Ïget‘‰ffŽ–®line‘‰ffŽ“switchŽ‘?Ö}«:‘ +418,–̸716,“717,“721,“748,“749,ަ‘876Ž‘Ÿ™”‰feŽ‘#,–,4879,“920.Ž¡Ïget‘‰ffŽ–®line›ÿ}'ar‘‰ffŽ“e˜c˜c˜entricityŽ‘^à—«:‘ +1148Ž‘ +Ÿ™”‰feŽ‘,‘6H1149Ž‘6HŸ™”‰feŽ‘6L.Ž¡Ïget‘‰ffŽ–®maximum‘‰ffŽ“zŽ‘Dm}«:‘ 200Ž‘ -Ÿ™”‰feŽ‘,‘‡š447Ž‘‡šŸ™”‰feŽ–‡,‘‡š448Ž‘‡šŸ™”‰feŽ“,–‡š455,“456,“552,ަ‘848Ž‘Ÿ™”‰feŽ‘#,‘Âs849Ž‘ÂsŸ™”‰feŽ‘Âv,‘Âs1366Ž‘ÂsŸ™”‰feŽ–Âw,‘Âs1367Ž‘ÂsŸ™”‰feŽ“.Ž¡Ïget‘‰ffŽ–®me‘ÿ}'an‘‰ffŽ“zŽ‘0¶ +Ÿ™”‰feŽ‘,‘‡š447Ž‘‡šŸ™”‰feŽ–‡,‘‡š448Ž‘‡šŸ™”‰feŽ“,–‡š455,“456,“552,ަ‘848Ž‘Ÿ™”‰feŽ‘#,‘Âs849Ž‘ÂsŸ™”‰feŽ‘Âv,‘Âs1371Ž‘ÂsŸ™”‰feŽ–Âw,‘Âs1372Ž‘ÂsŸ™”‰feŽ“.Ž¡Ïget‘‰ffŽ–®me‘ÿ}'an‘‰ffŽ“zŽ‘0¶ «:‘ -199,‘bÁ200Ž‘bÁŸ™”‰feŽ–bÄ,‘bÁ449Ž‘bÁŸ™”‰feŽ“,‘bÁ450Ž‘bÁŸ™”‰feŽ“,–bÁ552,“850Ž“Ÿ™”‰feŽ›bÄ,“851Ž“Ÿ™”‰feŽ˜,ަ‘1368Ž‘Ÿ™”‰feŽ‘(,‘VÕ1369Ž‘VÕŸ™”‰feŽ‘VÙ.Ž¡Ïget‘‰ffŽ–®mid‘‰ffŽ“p‘ÿ}'ointŽ‘;k[«:‘ -1082Ž‘ -Ÿ™”‰feŽ‘,‘úÖ1083Ž‘úÖŸ™”‰feŽ‘úÚ,–úÖ1223,“1224.Ž¡Ïget‘‰ffŽ–®minimum‘‰ffŽ“zŽ‘C]Ø«:‘ -199,‘Yo200Ž‘YoŸ™”‰feŽ–Yr,‘Yo445Ž‘YoŸ™”‰feŽ“,‘Yo446Ž‘YoŸ™”‰feŽ“,–Yo454,“456,“550,ަ‘552,‘{846Ž‘{Ÿ™”‰feŽ–{,‘{847Ž‘{Ÿ™”‰feŽ“,‘{1364Ž‘{Ÿ™”‰feŽ–{,‘{1365Ž‘{Ÿ™”‰feŽ“.Ž¡Ïget‘‰ffŽ‘®nameŽ‘(ùÀ«:‘ -93,‘á102Ž‘áŸ™”‰feŽ‘ä,–á104,“776,“802,“807,“824,ަ‘1377,–ûs1380,“1383.Ž¡Ïget‘‰ffŽ‘®netŽ‘4È«:‘ -1426,–ôY1438,“1443Ž“Ÿ™”‰feŽ›ô],“1444Ž“Ÿ™”‰feŽ˜,“1446,“1455,ަ‘1457Ž‘Ÿ™”‰feŽ‘(,‘¿ 1458Ž‘¿ Ÿ™”‰feŽ›¿ ,–¿ 1460,“1470Ž“Ÿ™”‰feŽ˜,“1471Ž“Ÿ™”‰feŽ˜,“1473,“1478,ަ‘1483,‘ûs1484Ž‘ûsŸ™”‰feŽ–ûw,‘ûs1485Ž‘ûsŸ™”‰feŽ“.Ž¡Ïget‘‰ffŽ‘®normalŽ‘0Št«:‘ +199,‘bÁ200Ž‘bÁŸ™”‰feŽ–bÄ,‘bÁ449Ž‘bÁŸ™”‰feŽ“,‘bÁ450Ž‘bÁŸ™”‰feŽ“,–bÁ552,“850Ž“Ÿ™”‰feŽ›bÄ,“851Ž“Ÿ™”‰feŽ˜,ަ‘1373Ž‘Ÿ™”‰feŽ‘(,‘VÕ1374Ž‘VÕŸ™”‰feŽ‘VÙ.Ž¡Ïget‘‰ffŽ–®mid‘‰ffŽ“p‘ÿ}'ointŽ‘;k[«:‘ +1087Ž‘ +Ÿ™”‰feŽ‘,‘úÖ1088Ž‘úÖŸ™”‰feŽ‘úÚ,–úÖ1228,“1229.Ž¡Ïget‘‰ffŽ–®minimum‘‰ffŽ“zŽ‘C]Ø«:‘ +199,‘Yo200Ž‘YoŸ™”‰feŽ–Yr,‘Yo445Ž‘YoŸ™”‰feŽ“,‘Yo446Ž‘YoŸ™”‰feŽ“,–Yo454,“456,“550,ަ‘552,‘{846Ž‘{Ÿ™”‰feŽ–{,‘{847Ž‘{Ÿ™”‰feŽ“,‘{1369Ž‘{Ÿ™”‰feŽ–{,‘{1370Ž‘{Ÿ™”‰feŽ“.Ž¡Ïget‘‰ffŽ‘®nameŽ‘(ùÀ«:‘ +93,‘á102Ž‘áŸ™”‰feŽ‘ä,–á104,“776,“802,“807,“824,ަ‘1382,–ûs1385,“1388.Ž¡Ïget‘‰ffŽ‘®netŽ‘4È«:‘ +1431,–ôY1443,“1448Ž“Ÿ™”‰feŽ›ô],“1449Ž“Ÿ™”‰feŽ˜,“1451,“1460,ަ‘1462Ž‘Ÿ™”‰feŽ‘(,‘¿ 1463Ž‘¿ Ÿ™”‰feŽ›¿ ,–¿ 1465,“1475Ž“Ÿ™”‰feŽ˜,“1476Ž“Ÿ™”‰feŽ˜,“1478,“1483,ަ‘1488,‘ûs1489Ž‘ûsŸ™”‰feŽ–ûw,‘ûs1490Ž‘ûsŸ™”‰feŽ“.Ž¡Ïget‘‰ffŽ‘®normalŽ‘0Št«:‘ 513Ž‘ -Ÿ™”‰feŽ‘,–e-872,“873,“874,“875,“893Ž“Ÿ™”‰feŽ›e0,“894Ž“Ÿ™”‰feŽ˜,ަ‘898Ž‘Ÿ™”‰feŽ‘#,–~l899,“900,“945,“946,“965,“1121,“1122,“1159,ަ‘1223,–Kx1224,“1263,“1265,“1269.Ž¡Ïget‘‰ffŽ–®numeric›ÿ}'al‘‰ffŽ“e˜c˜c˜entricityŽ‘qŠ«:‘ -1145Ž‘ -Ÿ™”‰feŽ‘,‘ú1146Ž‘úŸ™”‰feŽ‘ú‘.Ž¡Ïget‘‰ffŽ‘®p‘ÿ}'athŽ‘#Ÿë«:‘ +Ÿ™”‰feŽ‘,–e-872,“873,“874,“875,“896Ž“Ÿ™”‰feŽ›e0,“897Ž“Ÿ™”‰feŽ˜,ަ‘901Ž‘Ÿ™”‰feŽ‘#,–~l902,“903,“948,“949,“968,“1126,“1127,“1164,ަ‘1228,–Kx1229,“1268,“1270,“1274.Ž¡Ïget‘‰ffŽ–®numeric›ÿ}'al‘‰ffŽ“e˜c˜c˜entricityŽ‘qŠ«:‘ +1150Ž‘ +Ÿ™”‰feŽ‘,‘ú1151Ž‘úŸ™”‰feŽ‘ú‘.Ž¡Ïget‘‰ffŽ‘®p‘ÿ}'athŽ‘#Ÿë«:‘ 602Ž‘ -Ÿ™”‰feŽ‘,‘¿¤931Ž‘¿¤Ÿ™”‰feŽ‘¿§,‘¿¤1307.Ž¡Ïget‘‰ffŽ–®p‘ÿ}'ath‘‰ffŽ“ptrŽ‘4Cˆ«:‘ -1307,–Í1310,“1317Ž“Ÿ™”‰feŽ›Ñ,“1318Ž“Ÿ™”‰feŽ˜.Ž¡Ïget‘‰ffŽ‘®p‘ÿ}'erspŽ‘'ö«:‘ +Ÿ™”‰feŽ‘,‘¿¤934Ž‘¿¤Ÿ™”‰feŽ‘¿§,‘¿¤1312.Ž¡Ïget‘‰ffŽ–®p‘ÿ}'ath‘‰ffŽ“ptrŽ‘4Cˆ«:‘ +1312,–Í1315,“1322Ž“Ÿ™”‰feŽ›Ñ,“1323Ž“Ÿ™”‰feŽ˜.Ž¡Ïget‘‰ffŽ‘®p‘ÿ}'erspŽ‘'ö«:‘ 583Ž‘ Ÿ™”‰feŽ‘.Ž¡Ïget‘‰ffŽ–®p‘ÿ}'ersp‘‰ffŽ“elementŽ‘Mo”«:‘ 401,‘H584Ž‘HŸ™”‰feŽ–H,‘H585Ž‘HŸ™”‰feŽ“.Ž¡Ïget‘‰ffŽ‘®planeŽ‘(vè«:‘ -619,‘§>899Ž‘§>Ÿ™”‰feŽ–§A,‘§>900Ž‘§>Ÿ™”‰feŽ“,–§>901,“945,“946,“951,“982,ަ‘993,–²g1163,“1171,“1263.Ž¡Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«:‘ -716,–µÍ717,“721,“722,“750,“765,“887Ž“Ÿ™”‰feŽ›µÐ,“888Ž“Ÿ™”‰feŽ˜,ަ‘900,–>l919,“946,“951,“954,“962,“965,“981,“982,ަ‘991,–1006,“1122,“1150,“1152,“1155,“1157,“1159,ަ‘1167,–¿ 1168,“1173,“1174,“1177,“1178,“1179,ަ‘1188,–<„1211,“1214,“1216,“1223,“1224,“1279,“1438,ަ‘1444,–<„1446,“1455,“1456,“1458,“1460,“1469,“1471,ަ‘1473,–¢[1483,“1485,“1486.Ž¡Ïget‘‰ffŽ–®p›ÿ}'olygon‘‰ffŽ“c˜enterŽ‘P_ë«:‘ -1324.Ž¡Ïget‘‰ffŽ‘®p‘ÿ}'ositionŽ‘3x«:‘ +619,‘§>902Ž‘§>Ÿ™”‰feŽ–§A,‘§>903Ž‘§>Ÿ™”‰feŽ“,–§>904,“948,“949,“954,“985,ަ‘996,–²g1168,“1176,“1268.Ž¡Ïget‘‰ffŽ‘®p‘ÿ}'ointŽ‘'bH«:‘ +716,–µÍ717,“721,“722,“750,“765,“888Ž“Ÿ™”‰feŽ›µÐ,“889Ž“Ÿ™”‰feŽ˜,ަ‘890Ž‘Ÿ™”‰feŽ‘#,‘>l891Ž‘>lŸ™”‰feŽ‘>o,–>l903,“922,“949,“954,“957,“965,“968,ަ‘984,–K985,“994,“1009,“1083,“1127,“1155,“1157,ަ‘1160,–<„1162,“1164,“1172,“1173,“1178,“1179,“1182,ŽŽ ý•@P’à¦1183,–<„1184,“1193,“1216,“1219,“1221,“1228,“1229,ޤ ’à¦1284,–<„1443,“1449,“1451,“1460,“1461,“1463,“1465,Ž¡’à¦1474,–ö¶1476,“1478,“1488,“1490,“1491.ޤ 4[’ôà¤Ïget‘‰ffŽ–®p›ÿ}'olygon‘‰ffŽ“c˜enterŽ’E@«:‘ +1329.Ž¡’ôà¤Ïget‘‰ffŽ‘®p‘ÿ}'ositionŽ’(X·«:‘ 576Ž‘ -Ÿ™”‰feŽ‘.Ž¡Ïget‘‰ffŽ‘®r‘ÿ}'adiusŽ‘+ûß«:‘ -1042Ž‘ -Ÿ™”‰feŽ‘,‘ÝÑ1255Ž‘ÝÑŸ™”‰feŽ‘ÝÕ.Ž¡Ïget‘‰ffŽ‘®r–ÿ}'e“ctangleŽ‘7«{«:‘ -1307.Ž¡Ïget‘‰ffŽ›®r–ÿ}'e“ctangle‘‰ffŽ˜c“enterŽ‘Vä«:‘ -1330Ž‘ -Ÿ™”‰feŽ‘,‘S1331Ž‘SŸ™”‰feŽ‘S.Ž¡Ïget‘‰ffŽ›®r–ÿ}'e“ctangle‘‰ffŽ˜ptrŽ‘HS «:‘ -1307,–Ñk1310,“1319Ž“Ÿ™”‰feŽ›Ño,“1320Ž“Ÿ™”‰feŽ˜.ŽŽ ý•@P’ôà¤Ïget‘‰ffŽ›®r–ÿ}'e“d‘‰ffŽ˜p“artŽ’(_æ«:‘ +Ÿ™”‰feŽ‘.Ž¡’ôà¤Ïget‘‰ffŽ‘®r‘ÿ}'adiusŽ’ ܃«:‘ +1045Ž‘ +Ÿ™”‰feŽ‘,‘ÝÑ1260Ž‘ÝÑŸ™”‰feŽ‘ÝÕ.Ž¡’ôà¤Ïget‘‰ffŽ‘®r–ÿ}'e“ctangleŽ’,Œ«:‘ +1312.Ž¡’ôà¤Ïget‘‰ffŽ›®r–ÿ}'e“ctangle‘‰ffŽ˜c“enterŽ’Kˆ«:‘ +1335Ž‘ +Ÿ™”‰feŽ‘,‘S1336Ž‘SŸ™”‰feŽ‘S.Ž¡’ôà¤Ïget‘‰ffŽ›®r–ÿ}'e“ctangle‘‰ffŽ˜ptrŽ’=3Ä«:‘ +1312,–Ñk1315,“1324Ž“Ÿ™”‰feŽ›Ño,“1325Ž“Ÿ™”‰feŽ˜.Ž¡’ôà¤Ïget‘‰ffŽ›®r–ÿ}'e“d‘‰ffŽ˜p“artŽ’(_æ«:‘ 61,–=ì93,“97Ž“Ÿ™”‰fe -Ž‘=î,“104,“106.ޤ 2Ð’ôà¤Ïget‘‰ffŽ›®r–ÿ}'e“g‘‰ffŽ˜p“olygonŽ’6ã2«:‘ -1307.Ž¡’ôà¤Ïget‘‰ffŽ›®r–ÿ}'e“g‘‰ffŽ˜p“olygon‘‰ffŽ˜c“enterŽ’US“«:‘ -1332Ž‘ -Ÿ™”‰feŽ‘,‘11333Ž‘1Ÿ™”‰feŽ‘1.Ž¡’ôà¤Ïget‘‰ffŽ›®r–ÿ}'e“g‘‰ffŽ˜p“olygon‘‰ffŽ˜ptrŽ’G†Ï«:‘ -1307,–°I1310,“1321Ž“Ÿ™”‰feŽ›°M,“1322Ž“Ÿ™”‰feŽ˜.Ž¡’ôà¤Ïget‘‰ffŽ‘®shap‘ÿ}'eŽ’Úc«:‘ -1307.Ž¡’ôà¤Ïget‘‰ffŽ–®shap›ÿ}'e‘‰ffŽ“c˜enterŽ’l373,“378,“379,“395,“437,“463,“464,“472,ަ’à¦476,–>l498,“500,“502,“516,“566,“568,“606,“644,ަ’à¦731,–736,“843,“946,“954,“1015,“1020,“1122,“1175,ަ’à¦1176,–Kx1201,“1206,“1279,“1485.Ž¡’ôà¤Ïget‘‰ffŽ‘®yŽ’ Tº«:‘ +264,–z&310,“316,“322Ž“Ÿ™”‰feŽ›z),“323Ž“Ÿ™”‰feŽ˜,“324Ž“Ÿ™”‰feŽ˜,“325Ž“Ÿ™”‰feŽ˜,“349,“371,ަ’à¦372,–>l373,“378,“379,“395,“437,“463,“464,“472,ަ’à¦476,–>l498,“500,“502,“516,“566,“568,“606,“644,ަ’à¦731,–736,“843,“949,“957,“1018,“1023,“1127,“1180,ަ’à¦1181,–Kx1206,“1211,“1284,“1490.Ž¡’ôà¤Ïget‘‰ffŽ‘®yŽ’ Tº«:‘ 327Ž‘ -Ÿ™”‰feŽ‘,‘™ê328Ž‘™êŸ™”‰feŽ–™í,‘™ê329Ž‘™êŸ™”‰feŽ“,‘™ê330Ž‘™êŸ™”‰feŽ“,–™ê349,“371,“372,“373,ަ’à¦378,–>l379,“395,“437,“463,“464,“472,“476,“498,ަ’à¦500,–>l502,“516,“566,“568,“606,“644,“731,“736,ަ’à¦843,–K946,“954,“1015,“1020,“1175,“1176,“1201,ަ’à¦1206,–¢[1458,“1469,“1471.Ž¡’ôà¤Ïget‘‰ffŽ‘®zŽ’ +Ÿ™”‰feŽ‘,‘™ê328Ž‘™êŸ™”‰feŽ–™í,‘™ê329Ž‘™êŸ™”‰feŽ“,‘™ê330Ž‘™êŸ™”‰feŽ“,–™ê349,“371,“372,“373,ަ’à¦378,–>l379,“395,“437,“463,“464,“472,“476,“498,ަ’à¦500,–>l502,“516,“566,“568,“606,“644,“731,“736,ަ’à¦843,–K949,“957,“1018,“1023,“1180,“1181,“1206,ަ’à¦1211,–¢[1463,“1474,“1476.Ž¡’ôà¤Ïget‘‰ffŽ‘®zŽ’ 襫:‘ 332Ž‘ -Ÿ™”‰feŽ‘,‘€Þ333Ž‘€ÞŸ™”‰feŽ–€á,‘€Þ334Ž‘€ÞŸ™”‰feŽ“,‘€Þ335Ž‘€ÞŸ™”‰feŽ“,–€Þ349,“371,“372,“373,“378,ަ’à¦379,–Ò383,“463,“464,“476,“498,“500,“502,“516,“566,ަ’à¦568,–þl606,“644,“731,“736,“843,“946,“954,“1015,ަ’à¦1020,–ö¶1122,“1175,“1176,“1201,“1206.Ž¡’ôà¤ÏgetcharŽ’ «:‘ -182,–@249,“458,“644,“685,“858,“863,ަ’à¦869,–,4911,“946.Ž¡’ôà¤Ïgetopt‘‰ffŽ–®long‘‰ffŽ“onlyŽ’;»Ÿ«:‘ -1503.Ž¡’ôà¤Ïgr‘ÿ}'ayŽ’‹¡«:‘ +Ÿ™”‰feŽ‘,‘€Þ333Ž‘€ÞŸ™”‰feŽ–€á,‘€Þ334Ž‘€ÞŸ™”‰feŽ“,‘€Þ335Ž‘€ÞŸ™”‰feŽ“,–€Þ349,“371,“372,“373,“378,ަ’à¦379,–Ò383,“463,“464,“476,“498,“500,“502,“516,“566,ަ’à¦568,–þl606,“644,“731,“736,“843,“949,“957,“1018,ަ’à¦1023,–ö¶1127,“1180,“1181,“1206,“1211.Ž¡’ôà¤ÏgetcharŽ’ «:‘ +182,–@249,“458,“644,“685,“858,“863,ަ’à¦869,–,4914,“949.Ž¡’ôà¤Ïgetopt‘‰ffŽ–®long‘‰ffŽ“onlyŽ’;»Ÿ«:‘ +1508.Ž¡’ôà¤Ïgr‘ÿ}'ayŽ’‹¡«:‘ 108,‘À112Ž‘ÀŸ™”‰feŽ–Ã,‘À113Ž‘ÀŸ™”‰feŽ“.Ž¡’ôà¤Ïgr–ÿ}'e“enŽ’ ű«:‘ -108,‘žÓ112Ž‘žÓŸ™”‰feŽ–žÖ,‘žÓ113Ž‘žÓŸ™”‰feŽ“,–žÓ1282,“1438,“1456,“1500.Ž¡’ôà¤Ïgr–ÿ}'e“en‘‰ffŽ‘®p“artŽ’!â0«:‘ +108,‘žÓ112Ž‘žÓŸ™”‰feŽ–žÖ,‘žÓ113Ž‘žÓŸ™”‰feŽ“,–žÓ1287,“1443,“1461,“1505.Ž¡’ôà¤Ïgr–ÿ}'e“en‘‰ffŽ‘®p“artŽ’!â0«:‘ 56Ž‘ Ÿ™”‰fe Ž‘,–šË59,“61,“64,“66,“69,“71,“74,“75,ަ’à¦76,–"¼85,“89,“98.Ž¡’ôà¤Ïgr–ÿ}'e“en‘‰ffŽ‘®yel‘‚ØlowŽ’+˜8«:‘ -108,‘:112Ž‘:Ÿ™”‰feŽ–:,‘:113Ž‘:Ÿ™”‰feŽ“,‘:1500.Ž¡’ôऱhŽ’ú£›«:‘ -1414Ž‘ -Ÿ™”‰feŽ‘,‘[¤1415Ž‘[¤Ÿ™”‰feŽ‘[¨.Ž¡’ôà¤Ïh‘‰ffŽ‘®lengthŽ’Áý«:‘ -1223Ž‘ -Ÿ™”‰feŽ‘,‘ø~1224Ž‘ø~Ÿ™”‰feŽ‘ø‚.Ž¡’ôà¤ÏhalfŽ’Z:«:‘ 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‘148Ž‘Ÿ™”‰feŽ‘#,‘>l161Ž‘>lŸ™”‰feŽ–>o,‘>l164Ž‘>lŸ™”‰feŽ“,‘>l172Ž‘>lŸ™”‰feŽ“,‘>l174Ž‘>lŸ™”‰feŽ“,‘>l182Ž‘>lŸ™”‰feŽ“,‘>l303Ž‘>lŸ™”‰feŽ“,‘>l305Ž‘>lŸ™”‰feŽ“,‘>l395Ž‘>lŸ™”‰feŽ“,Ž¡‘399Ž‘Ÿ™”‰feŽ‘#,‘>l405Ž‘>lŸ™”‰feŽ–>o,‘>l452Ž‘>lŸ™”‰feŽ“,‘>l486Ž‘>lŸ™”‰feŽ“,‘>l495Ž‘>lŸ™”‰feŽ“,‘>l508Ž‘>lŸ™”‰feŽ“,‘>l551Ž‘>lŸ™”‰feŽ“,‘>l828Ž‘>lŸ™”‰feŽ“,‘>l840Ž‘>lŸ™”‰feŽ“,Ž¡‘843Ž‘Ÿ™”‰feŽ‘#,‘¾l844Ž‘¾lŸ™”‰feŽ–¾o,‘¾l881Ž‘¾lŸ™”‰feŽ“,‘¾l885Ž‘¾lŸ™”‰feŽ“,‘¾l886Ž‘¾lŸ™”‰feŽ“,‘¾l954Ž‘¾lŸ™”‰feŽ“,‘¾l965Ž‘¾lŸ™”‰feŽ“,‘¾l1031Ž‘¾lŸ™”‰feŽ–¾p,‘¾l1062Ž‘¾lŸ™”‰feŽ“,Ž¡‘1105Ž‘Ÿ™”‰feŽ‘(,‘<„1122Ž‘<„Ÿ™”‰feŽ–<ˆ,‘<„1174Ž‘<„Ÿ™”‰feŽ“,‘<„1180Ž‘<„Ÿ™”‰feŽ“,‘<„1254Ž‘<„Ÿ™”‰feŽ“,‘<„1279Ž‘<„Ÿ™”‰feŽ“,‘<„1282Ž‘<„Ÿ™”‰feŽ“,‘<„1337Ž‘<„Ÿ™”‰feŽ“,Ž¡‘1362Ž‘Ÿ™”‰feŽ‘(,‘<„1415Ž‘<„Ÿ™”‰feŽ–<ˆ,‘<„1438Ž‘<„Ÿ™”‰feŽ“,‘<„1444Ž‘<„Ÿ™”‰feŽ“,‘<„1446Ž‘<„Ÿ™”‰feŽ“,‘<„1455Ž‘<„Ÿ™”‰feŽ“,‘<„1458Ž‘<„Ÿ™”‰feŽ“,‘<„1460Ž‘<„Ÿ™”‰feŽ“,Ž¡‘1469Ž‘Ÿ™”‰feŽ‘(,‘ö¶1470Ž‘ö¶Ÿ™”‰feŽ–öº,‘ö¶1471Ž‘ö¶Ÿ™”‰feŽ“,‘ö¶1473Ž‘ö¶Ÿ™”‰feŽ“,‘ö¶1483Ž‘ö¶Ÿ™”‰feŽ“,‘ö¶1485Ž‘ö¶Ÿ™”‰feŽ“.ޤ +Ïi‘‰ffŽ‘®maxŽ‘c¾«:‘ -1279Ž‘ +Ž‘,‘Æ÷22Ž‘Æ÷Ÿ™”‰fe +Ž– Æù,‘Æ÷47Ž‘Æ÷Ÿ™”‰fe +Ž“,‘Æ÷48Ž‘Æ÷Ÿ™”‰fe +Ž“,‘Æ÷49Ž‘Æ÷Ÿ™”‰fe +Ž“,‘Æ÷50Ž‘Æ÷Ÿ™”‰fe +Ž“,‘Æ÷127Ž‘Æ÷Ÿ™”‰feŽ–Æú,‘Æ÷131Ž‘Æ÷Ÿ™”‰feŽ“,‘Æ÷133Ž‘Æ÷Ÿ™”‰feŽ“,‘Æ÷137Ž‘Æ÷Ÿ™”‰feŽ“,‘Æ÷141Ž‘Æ÷Ÿ™”‰feŽ“,ަ‘143Ž‘Ÿ™”‰feŽ‘#,‘Ò148Ž‘ÒŸ™”‰feŽ–Õ,‘Ò161Ž‘ÒŸ™”‰feŽ“,‘Ò164Ž‘ÒŸ™”‰feŽ“,‘Ò172Ž‘ÒŸ™”‰feŽ“,‘Ò174Ž‘ÒŸ™”‰feŽ“,‘Ò182Ž‘ÒŸ™”‰feŽ“,‘Ò303Ž‘ÒŸ™”‰feŽ“,‘Ò305Ž‘ÒŸ™”‰feŽ“,‘Ò395Ž‘ÒŸ™”‰feŽ“,ަ‘399Ž‘Ÿ™”‰feŽ‘#,‘>l405Ž‘>lŸ™”‰feŽ–>o,‘>l452Ž‘>lŸ™”‰feŽ“,‘>l486Ž‘>lŸ™”‰feŽ“,‘>l495Ž‘>lŸ™”‰feŽ“,‘>l508Ž‘>lŸ™”‰feŽ“,‘>l551Ž‘>lŸ™”‰feŽ“,‘>l828Ž‘>lŸ™”‰feŽ“,‘>l840Ž‘>lŸ™”‰feŽ“,ަ‘843Ž‘Ÿ™”‰feŽ‘#,‘¾l844Ž‘¾lŸ™”‰feŽ–¾o,‘¾l881Ž‘¾lŸ™”‰feŽ“,‘¾l885Ž‘¾lŸ™”‰feŽ“,‘¾l886Ž‘¾lŸ™”‰feŽ“,‘¾l957Ž‘¾lŸ™”‰feŽ“,‘¾l968Ž‘¾lŸ™”‰feŽ“,‘¾l1034Ž‘¾lŸ™”‰feŽ–¾p,‘¾l1065Ž‘¾lŸ™”‰feŽ“,ަ‘1110Ž‘Ÿ™”‰feŽ‘(,‘<„1127Ž‘<„Ÿ™”‰feŽ–<ˆ,‘<„1179Ž‘<„Ÿ™”‰feŽ“,‘<„1185Ž‘<„Ÿ™”‰feŽ“,‘<„1259Ž‘<„Ÿ™”‰feŽ“,‘<„1284Ž‘<„Ÿ™”‰feŽ“,‘<„1287Ž‘<„Ÿ™”‰feŽ“,‘<„1342Ž‘<„Ÿ™”‰feŽ“,ަ‘1367Ž‘Ÿ™”‰feŽ‘(,‘<„1420Ž‘<„Ÿ™”‰feŽ–<ˆ,‘<„1443Ž‘<„Ÿ™”‰feŽ“,‘<„1449Ž‘<„Ÿ™”‰feŽ“,‘<„1451Ž‘<„Ÿ™”‰feŽ“,‘<„1460Ž‘<„Ÿ™”‰feŽ“,‘<„1463Ž‘<„Ÿ™”‰feŽ“,‘<„1465Ž‘<„Ÿ™”‰feŽ“,ަ‘1474Ž‘Ÿ™”‰feŽ‘(,‘ö¶1475Ž‘ö¶Ÿ™”‰feŽ–öº,‘ö¶1476Ž‘ö¶Ÿ™”‰feŽ“,‘ö¶1478Ž‘ö¶Ÿ™”‰feŽ“,‘ö¶1488Ž‘ö¶Ÿ™”‰feŽ“,‘ö¶1490Ž‘ö¶Ÿ™”‰feŽ“.Ž¡Ïi‘‰ffŽ‘®maxŽ‘c¾«:‘ +1284Ž‘ Ÿ™”‰feŽ‘.Ž¡Ïi‘‰ffŽ‘®minŽ‘ä8«:‘ -1279Ž‘ +1284Ž‘ Ÿ™”‰feŽ‘.Ž¡ÂIcosahedronŽ‘<ØÏ«:‘ -658,–J1424,“1462Ž“Ÿ™”‰feŽ›N,“1463,“1465,“1466Ž“Ÿ™”‰feŽ˜,Ž© ‘1468,‘¢[1469Ž‘¢[Ÿ™”‰feŽ‘¢_,–¢[1471,“1473.Ž¡ÝIDENTITY_TRANSFORMŽ‘_2«:‘ +658,–J1429,“1467Ž“Ÿ™”‰feŽ›N,“1468,“1470,“1471Ž“Ÿ™”‰feŽ˜,ަ‘1473,‘¢[1474Ž‘¢[Ÿ™”‰feŽ‘¢_,–¢[1476,“1478.Ž¡ÝIDENTITY_TRANSFORMŽ‘_2«:‘ 191Ž‘ Ÿ™”‰feŽ‘,‘V·192Ž‘V·Ÿ™”‰feŽ‘Vº.Ž¡ÂifstreamŽ‘)xÖ«:‘ 39,‘'í40.Ž¡Ïin‘‰ffŽ‘®angleŽ‘$¾«:‘ -1180Ž‘ +1185Ž‘ Ÿ™”‰feŽ‘.Ž¡Ïin‘‰ffŽ‘®cir‘ÿ}'cleŽ‘$ÂI«:‘ -1021,‘C1044Ž‘CŸ™”‰feŽ–C”,‘C1265Ž‘CŸ™”‰feŽ“,‘C1267.Ž¡Ïin‘‰ffŽ‘®distanc‘ÿ}'eŽ‘0¤h«:‘ -1223Ž‘ +1024,‘C1047Ž‘CŸ™”‰feŽ–C”,‘C1270Ž‘CŸ™”‰feŽ“,‘C1272.Ž¡Ïin‘‰ffŽ‘®distanc‘ÿ}'eŽ‘0¤h«:‘ +1228Ž‘ Ÿ™”‰feŽ‘.Ž¡Ïin‘‰ffŽ‘®el‘‚ØlipseŽ‘(¸V«:‘ -1091Ž‘ -Ÿ™”‰feŽ‘,‘Ž”1224ޑޔŸ™”‰feŽ‘Ž˜,‘Ž”1226.Ž¡Ïin‘‰ffŽ‘®r–ÿ}'e“ctangleŽ‘3Ö*«:‘ -1215Ž‘ -Ÿ™”‰feŽ‘,‘js1216Ž‘jsŸ™”‰feŽ‘jw,‘js1220.Ž¡Ïin‘‰ffŽ‘®str–ÿ}'e“amŽ‘*$-«:‘ +1096Ž‘ +Ÿ™”‰feŽ‘,‘Ž”1229ޑޔŸ™”‰feŽ‘Ž˜,‘Ž”1231.Ž¡Ïin‘‰ffŽ‘®r–ÿ}'e“ctangleŽ‘3Ö*«:‘ +1220Ž‘ +Ÿ™”‰feŽ‘,‘js1221Ž‘jsŸ™”‰feŽ‘jw,‘js1225.Ž¡Ïin‘‰ffŽ‘®str–ÿ}'e“amŽ‘*$-«:‘ 39Ž‘ Ÿ™”‰fe Ž‘,‘ž40Ž‘žŸ™”‰fe -Ž‘ ,–ž42,“44,“1510,“1511.Ž¡Ïin‘‰ffŽ›®str–ÿ}'e“am‘‰ffŽ˜nameŽ‘EQ«:‘ +Ž‘ ,–ž42,“44,“1518,“1519.Ž¡Ïin‘‰ffŽ›®str–ÿ}'e“am‘‰ffŽ˜nameŽ‘EQ«:‘ 42Ž‘ Ÿ™”‰fe Ž‘,‘“$43Ž‘“$Ÿ™”‰fe Ž‘“&,‘“$44.Ž¡Ïinitialize‘‰ffŽ‘®c‘ÿ}'olorsŽ‘CÀ«:‘ 107Ž‘ -Ÿ™”‰feŽ‘,‘=108Ž‘=Ÿ™”‰feŽ‘@,–=112,“1511.Ž¡Ïinitialize‘‰ffŽ‘®ioŽ‘2‘«:‘ +Ÿ™”‰feŽ‘,‘=108Ž‘=Ÿ™”‰feŽ‘@,–=112,“1519.Ž¡Ïinitialize‘‰ffŽ‘®ioŽ‘2‘«:‘ 42Ž‘ Ÿ™”‰fe Ž‘,‘Wp43Ž‘WpŸ™”‰fe -Ž‘Wr,–Wp1510,“1511.Ž¡Ïinner‘‰ffŽ‘®cir‘ÿ}'cleŽ‘32«:‘ -1282Ž‘ -Ÿ™”‰feŽ‘,‘Æ1285Ž‘ÆŸ™”‰feŽ‘Æ.Ž¡Ïinternal‘‰ffŽ‘®angleŽ‘=Œ5«:‘ -1022Ž‘ -Ÿ™”‰feŽ‘,–ô1024,“1030,“1031.Ž¡Ïinterse‘ÿ}'ction‘‰ffŽ‘®ctrŽ‘D"8«:‘ -1180Ž‘ -Ÿ™”‰feŽ‘,‘ŽQ1181.Ž¡Ïinterse‘ÿ}'ction‘‰ffŽ‘®lineŽ‘Gƒ¦«:‘ -594,‘¿643Ž‘¿Ÿ™”‰feŽ–¿,‘¿644Ž‘¿Ÿ™”‰feŽ“,–¿996,“1183.Ž¡Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ‘M–Ö«:‘ -33,–Hï272,“527,“528Ž“Ÿ™”‰feŽ›Hò,“529Ž“Ÿ™”‰feŽ˜,“530Ž“Ÿ™”‰feŽ˜,ަ‘603Ž‘Ÿ™”‰feŽ‘#,–>l604,“640Ž“Ÿ™”‰feŽ›>o,“641Ž“Ÿ™”‰feŽ˜,“642Ž“Ÿ™”‰feŽ˜,“917Ž“Ÿ™”‰feŽ˜,“918Ž“Ÿ™”‰feŽ˜,“919Ž“Ÿ™”‰feŽ˜,“950,ަ‘960,–áÜ985,“987,“994,“1439,“1445,“1446.Ž¡Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘QŒß«:‘ -268,–Áþ528,“644,“949,“950Ž“Ÿ™”‰feŽ›Â,“951Ž“Ÿ™”‰feŽ˜,ަ‘961Ž‘Ÿ™”‰feŽ‘#,‘Ò962Ž‘ÒŸ™”‰feŽ–Õ,‘Ò981Ž‘ÒŸ™”‰feŽ“,‘Ò982Ž‘ÒŸ™”‰feŽ“,–Ò988,“990Ž“Ÿ™”‰feŽ›Õ,“991Ž“Ÿ™”‰feŽ˜,“992Ž“Ÿ™”‰feŽ˜,“993Ž“Ÿ™”‰feŽ˜,“996,ަ‘1159,‘<„1165Ž‘<„Ÿ™”‰feŽ–<ˆ,‘<„1166Ž‘<„Ÿ™”‰feŽ“,‘<„1167Ž‘<„Ÿ™”‰feŽ“,‘<„1168Ž‘<„Ÿ™”‰feŽ“,–<„1169,“1170Ž“Ÿ™”‰feŽ›<ˆ,“1171Ž“Ÿ™”‰feŽ˜,ަ‘1174,–<„1183,“1184,“1216,“1223,“1257,“1258Ž“Ÿ™”‰feŽ›<ˆ,“1259Ž“Ÿ™”‰feŽ˜,ަ‘1260Ž‘Ÿ™”‰feŽ‘(,‘ö¶1261Ž‘ö¶Ÿ™”‰feŽ–öº,‘ö¶1262Ž‘ö¶Ÿ™”‰feŽ“,‘ö¶1263Ž‘ö¶Ÿ™”‰feŽ“,‘ö¶1427Ž‘ö¶Ÿ™”‰feŽ“,‘ö¶1428Ž‘ö¶Ÿ™”‰feŽ“.Ž¡ÏintsŽ‘nŽ«:‘ -667.Ž¡ÝINVALID_BOOL_POINTŽ‘_2«:‘ -271,–Bú273,“274Ž“Ÿ™”‰feŽ›Bý,“275Ž“Ÿ™”‰feŽ˜,“536,ަ‘540,–T£541,“603,“641,“918,“919.Ž¡ÝINVALID_BOOL_POINT_PAIRŽ‘yF#«:‘ +Ž‘Wr,–Wp1518,“1519.Ž¡Ïinner‘‰ffŽ‘®cir‘ÿ}'cleŽ‘32«:‘ +1287Ž‘ +Ÿ™”‰feŽ‘,‘Æ1290Ž‘ÆŸ™”‰feŽ‘Æ.Ž¡Ïinternal‘‰ffŽ‘®angleŽ‘=Œ5«:‘ +1025Ž‘ +Ÿ™”‰feŽ‘,–ô1027,“1033,“1034.Ž¡Ïinterse‘ÿ}'ction‘‰ffŽ‘®ctrŽ‘D"8«:‘ +1185Ž‘ +Ÿ™”‰feŽ‘,‘ŽQ1186.Ž¡Ïinterse‘ÿ}'ction‘‰ffŽ‘®lineŽ‘Gƒ¦«:‘ +594,‘¿643Ž‘¿Ÿ™”‰feŽ–¿,‘¿644Ž‘¿Ÿ™”‰feŽ“,–¿999,“1188.Ž¡Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointŽ‘M–Ö«:‘ +33,–Hï272,“527,“528Ž“Ÿ™”‰feŽ›Hò,“529Ž“Ÿ™”‰feŽ˜,“530Ž“Ÿ™”‰feŽ˜,ަ‘603Ž‘Ÿ™”‰feŽ‘#,–>l604,“640Ž“Ÿ™”‰feŽ›>o,“641Ž“Ÿ™”‰feŽ˜,“642Ž“Ÿ™”‰feŽ˜,“920Ž“Ÿ™”‰feŽ˜,“921Ž“Ÿ™”‰feŽ˜,“922Ž“Ÿ™”‰feŽ˜,“953,ަ‘963,–áÜ988,“990,“997,“1444,“1450,“1451.Ž¡Ïinterse–ÿ}'ction‘‰ffŽ‘®p“ointsŽ‘QŒß«:‘ +268,–Áþ528,“644,“952,“953Ž“Ÿ™”‰feŽ›Â,“954Ž“Ÿ™”‰feŽ˜,ަ‘964Ž‘Ÿ™”‰feŽ‘#,‘Ò965Ž‘ÒŸ™”‰feŽ–Õ,‘Ò984Ž‘ÒŸ™”‰feŽ“,‘Ò985Ž‘ÒŸ™”‰feŽ“,–Ò991,“993Ž“Ÿ™”‰feŽ›Õ,“994Ž“Ÿ™”‰feŽ˜,“995Ž“Ÿ™”‰feŽ˜,“996Ž“Ÿ™”‰feŽ˜,“999,ަ‘1164,‘<„1170Ž‘<„Ÿ™”‰feŽ–<ˆ,‘<„1171Ž‘<„Ÿ™”‰feŽ“,‘<„1172Ž‘<„Ÿ™”‰feŽ“,‘<„1173Ž‘<„Ÿ™”‰feŽ“,–<„1174,“1175Ž“Ÿ™”‰feŽ›<ˆ,“1176Ž“Ÿ™”‰feŽ˜,ަ‘1179,–<„1188,“1189,“1221,“1228,“1262,“1263Ž“Ÿ™”‰feŽ›<ˆ,“1264Ž“Ÿ™”‰feŽ˜,ަ‘1265Ž‘Ÿ™”‰feŽ‘(,‘ö¶1266Ž‘ö¶Ÿ™”‰feŽ–öº,‘ö¶1267Ž‘ö¶Ÿ™”‰feŽ“,‘ö¶1268Ž‘ö¶Ÿ™”‰feŽ“,‘ö¶1432Ž‘ö¶Ÿ™”‰feŽ“,‘ö¶1433Ž‘ö¶Ÿ™”‰feŽ“.Ž¡ÏintsŽ‘nŽ«:‘ +667.ŽŽ ý•@P’ôà¤ÝINVALID_BOOL_POINTŽ’SæÖ«:‘ +271,–Bú273,“274Ž“Ÿ™”‰feŽ›Bý,“275Ž“Ÿ™”‰feŽ˜,“536,ޤ ’à¦540,–T£541,“603,“641,“921,“922.Ž© ?ý’ôà¤ÝINVALID_BOOL_POINT_PAIRŽ’n&Ç«:‘ 274Ž‘ -Ÿ™”‰feŽ‘,‘û275Ž‘ûŸ™”‰feŽ‘û",–û951,“952,ަ‘959,–¾9960,“962,“982,“983,“986,“991,“1168.Ž¡ÝINVALID_BOOL_POINT_QUADRUPLEŽ’“†«:‘ +Ÿ™”‰feŽ‘,‘û275Ž‘ûŸ™”‰feŽ‘û",–û954,“955,Ž¡’à¦962,–¾9963,“965,“985,“986,“989,“994,“1173.ަ’ôà¤ÝINVALID_BOOL_POINT_QUADRUPLEŽ’ˆf¸«:‘ 274Ž‘ -Ÿ™”‰feŽ‘,‘275Ž‘Ÿ™”‰feŽ‘ ,‘1171,ަ‘1174,–£ÿ1177,“1179,“1180,“1181,“1182,“1263.Ž¡ÝINVALID_BOOL_REAL_POINTŽ‘yF#«:‘ +Ÿ™”‰feŽ‘,‘275Ž‘Ÿ™”‰feŽ‘ ,‘1176,Ž¡’à¦1179,–£ÿ1182,“1184,“1185,“1186,“1187,“1268.ަ’ôà¤ÝINVALID_BOOL_REAL_POINTŽ’n&Ç«:‘ 274Ž‘ -Ÿ™”‰feŽ‘,‘¹…275Ž‘¹…Ÿ™”‰feŽ‘¹ˆ,‘¹…606.Ž¡ÝINVALID_LINEŽ‘?†D«:‘ +Ÿ™”‰feŽ‘,‘¹…275Ž‘¹…Ÿ™”‰feŽ‘¹ˆ,‘¹…606.ަ’ôà¤ÝINVALID_LINEŽ’4fè«:‘ 610Ž‘ -Ÿ™”‰feŽ‘,‘èA611Ž‘èAŸ™”‰feŽ‘èD,–èA644,“929,“930.Ž¡ÝINVALID_PATHŽ‘?†D«:‘ -883.ŽŽ ý•@P’ôà¤ÝINVALID_PLANEŽ’9¦å«:‘ -619,–‚a623,“646,“647Ž“Ÿ™”‰feŽ›‚d,“648Ž“Ÿ™”‰feŽ˜,“900,ޤ ’à¦901,‘wÁ946.Ž© =´’ôà¤ÝINVALID_POINTŽ’9¦å«:‘ -24,–Œ…269,“273,“274Ž“Ÿ™”‰feŽ›Œˆ,“275Ž“Ÿ™”‰feŽ˜,“350,“432,Ž¡’à¦462,–>l507,“508,“518,“527,“536,“541,“603,“605,Ž¡’à¦607,–>l610,“623,“624,“641,“647,“873,“888,“890,Ž¡’à¦893,–>l894,“895,“897,“898,“900,“948,“949,“952,Ž¡’à¦955,–>l956,“957,“958,“976,“978,“983,“985,“996,Ž¡’à¦1081,–<„1083,“1121,“1122,“1140,“1142,“1158,“1159,Ž¡’à¦1174,–<„1179,“1183,“1187,“1216,“1324,“1325,“1435,Ž¡’à¦1451,–¢[1452,“1466,“1480.ަ’ôà¤ÝINVALID_REALŽ’4fè«:‘ -12,‘òe15Ž‘òeŸ™”‰fe -Ž– òg,‘òe16Ž‘òeŸ™”‰fe -Ž“,–òe24,“25,“27Ž“Ÿ™”‰fe -Ž‘ òg,“30,“191,“273,Ž¡’à¦274,–Ò318,“346,“347,“349,“350,“351,“355,“382,“385,Ž¡’à¦387,–Ò401,“452,“503,“505,“518,“533,“534,“535,“536,Ž¡’à¦538,–Ò539,“540,“541,“623,“624,“842,“844,“879,“880,Ž¡’à¦943,–¾l944,“946,“955,“956,“957,“958,“1147,“1150,Ž¡’à¦1152,–<„1155,“1157,“1163,“1178,“1179,“1187,“1188,Ž¡’à¦1435,–ö¶1451,“1452,“1466,“1480,“1509.ަ’ôà¤ÝINVALID_REAL_PAIRŽ’N¦Ù«:‘ +Ÿ™”‰feŽ‘,‘èA611Ž‘èAŸ™”‰feŽ‘èD,–èA644,“932,“933.ަ’ôà¤ÝINVALID_PATHŽ’4fè«:‘ +883.ަ’ôà¤ÝINVALID_PLANEŽ’9¦å«:‘ +619,–‚a623,“646,“647Ž“Ÿ™”‰feŽ›‚d,“648Ž“Ÿ™”‰feŽ˜,“903,Ž¡’à¦904,‘wÁ949.ަ’ôà¤ÝINVALID_POINTŽ’9¦å«:‘ +24,–Œ…269,“273,“274Ž“Ÿ™”‰feŽ›Œˆ,“275Ž“Ÿ™”‰feŽ˜,“350,“432,Ž¡’à¦462,–>l507,“508,“518,“527,“536,“541,“603,“605,Ž¡’à¦607,–>l610,“623,“624,“641,“647,“873,“889,“891,Ž¡’à¦893,–>l896,“897,“898,“900,“901,“903,“951,“952,Ž¡’à¦955,–>l958,“959,“960,“961,“979,“981,“986,“988,Ž¡’à¦999,–1086,“1088,“1126,“1127,“1145,“1147,“1163,Ž¡’à¦1164,–<„1179,“1184,“1188,“1192,“1221,“1329,“1330,Ž¡’à¦1440,–Kx1456,“1457,“1471,“1485.ަ’ôà¤ÝINVALID_REALŽ’4fè«:‘ +12,–òe15,“16Ž“Ÿ™”‰fe +Ž› òg,“24,“25,“27Ž“Ÿ™”‰fe +Ž˜,“30,“191,“273,Ž¡’à¦274,–Ò318,“346,“347,“349,“350,“351,“355,“382,“385,Ž¡’à¦387,–Ò401,“452,“503,“505,“518,“533,“534,“535,“536,Ž¡’à¦538,–Ò539,“540,“541,“623,“624,“842,“844,“879,“880,Ž¡’à¦946,–¾l947,“949,“958,“959,“960,“961,“1152,“1155,Ž¡’à¦1157,–<„1160,“1162,“1168,“1183,“1184,“1192,“1193,Ž¡’à¦1440,–<„1456,“1457,“1471,“1485,“1514,“1515,“1516.ަ’ôà¤ÝINVALID_REAL_PAIRŽ’N¦Ù«:‘ 25Ž‘ Ÿ™”‰fe Ž‘,‘0&27Ž‘0&Ÿ™”‰fe -Ž‘0(,‘0&1129.ަ’ôà¤ÝINVALID_REAL_SHORTŽ’SæÖ«:‘ +Ž‘0(,‘0&1134.ަ’ôà¤ÝINVALID_REAL_SHORTŽ’SæÖ«:‘ 24,‘?–25Ž‘?–Ÿ™”‰fe Ž–?˜,‘?–27Ž‘?–Ÿ™”‰fe Ž“.ަ’ôà¤ÝINVALID_TRANSFORMŽ’N¦Ù«:‘ -24,–‘r183,“191Ž“Ÿ™”‰feŽ›‘u,“192Ž“Ÿ™”‰feŽ˜,“716,“717,Ž¡’à¦722,–{748,“750,“1006,“1211.ަ’ôà¤ÏinverseŽ’ï+«:‘ +24,–‘r183,“191Ž“Ÿ™”‰feŽ›‘u,“192Ž“Ÿ™”‰feŽ˜,“716,“717,Ž¡’à¦722,–{748,“750,“1009,“1216.ަ’ôà¤ÏinverseŽ’ï+«:‘ 181Ž‘ -Ÿ™”‰feŽ‘,‘†182Ž‘†Ÿ™”‰feŽ–‰,‘†187Ž‘†Ÿ™”‰feŽ“,‘†188Ž‘†Ÿ™”‰feŽ“,–†395,“561,“572,“958,Ž¡’à¦1177,–Kx1223,“1224,“1265,“1269.ަ’ôà¤ÏinvertŽ’ÃÌ«:‘ +Ÿ™”‰feŽ‘,‘†182Ž‘†Ÿ™”‰feŽ–‰,‘†187Ž‘†Ÿ™”‰feŽ“,‘†188Ž‘†Ÿ™”‰feŽ“,–†395,“561,“572,“961,Ž¡’à¦1182,–Kx1228,“1229,“1270,“1274.ަ’ôà¤ÏinvertŽ’ÃÌ«:‘ 187.ަ’ôà¤ÏiosŽ’yß«:‘ -44,‘bÃ1507.ަ’ôà¤Ïios‘‰ffŽ‘®b‘ÿ}'aseŽ’ù±«:‘ -44.ަ’ôà¤Ïis‘‰ffŽ‘®cir‘ÿ}'cularŽ’"…Á«:‘ -1253Ž‘ -Ÿ™”‰feŽ‘,‘ØY1254Ž‘ØYŸ™”‰feŽ‘Ø].ަ’ôà¤Ïis‘‰ffŽ‘®cubicŽ’È«:‘ -941Ž‘ -Ÿ™”‰feŽ‘,‘´31124Ž‘´3Ÿ™”‰feŽ–´7,‘´31125Ž‘´3Ÿ™”‰feŽ“.ަ’ôà¤Ïis‘‰ffŽ‘®cycleŽ’/¼«:‘ -763,–ŽÓ864,“877Ž“Ÿ™”‰feŽ‘ŽÖ,“909.ަ’ôà¤Ïis‘‰ffŽ‘®el‘‚ØlipseŽ’r«:‘ -1147.ަ’ôà¤Ïis‘‰ffŽ‘®el‘‚Øliptic‘ÿ}'alŽ’%Í:«:‘ -1121Ž‘ -Ÿ™”‰feŽ‘,‘é‰1122Ž‘鉟™”‰feŽ‘é,–é‰1150,“1152,“1155,“1157,Ž¡’à¦1187,–ûs1188,“1189.ަ’ôà¤Ïis‘‰ffŽ‘®identityŽ’"F«:‘ +44,‘bÃ1512.ަ’ôà¤Ïios‘‰ffŽ‘®b‘ÿ}'aseŽ’ù±«:‘ +44.ަ’ôà¤ÏipŽ’þ2–«:‘ +16Ž‘ +Ÿ™”‰fe +Ž‘.ަ’ôà¤Ïis‘‰ffŽ‘®cir‘ÿ}'cularŽ’"…Á«:‘ +1258Ž‘ +Ÿ™”‰feŽ‘,‘ØY1259Ž‘ØYŸ™”‰feŽ‘Ø].ަ’ôà¤Ïis‘‰ffŽ‘®cubicŽ’È«:‘ +944Ž‘ +Ÿ™”‰feŽ‘,‘´31129Ž‘´3Ÿ™”‰feŽ–´7,‘´31130Ž‘´3Ÿ™”‰feŽ“.ަ’ôà¤Ïis‘‰ffŽ‘®cycleŽ’/¼«:‘ +763,–ŽÓ864,“877Ž“Ÿ™”‰feŽ‘ŽÖ,“912.ަ’ôà¤Ïis‘‰ffŽ‘®el‘‚ØlipseŽ’r«:‘ +1152.ަ’ôà¤Ïis‘‰ffŽ‘®el‘‚Øliptic‘ÿ}'alŽ’%Í:«:‘ +1126Ž‘ +Ÿ™”‰feŽ‘,‘é‰1127Ž‘鉟™”‰feŽ‘é,–é‰1155,“1157,“1160,“1162,Ž¡’à¦1192,–ûs1193,“1194.ަ’ôà¤Ïis‘‰ffŽ‘®identityŽ’"F«:‘ 140Ž‘ Ÿ™”‰feŽ‘,‘”¸141Ž‘”¸Ÿ™”‰feŽ–”»,‘”¸142Ž‘”¸Ÿ™”‰feŽ“,‘”¸143Ž‘”¸Ÿ™”‰feŽ“,–”¸174,“283,“307Ž“Ÿ™”‰feŽ‘”»,Ž¡’à¦399,–š¶405,“472,“549,“553.ަ’ôà¤Ïis‘‰ffŽ–®in‘‰ffŽ“triangleŽ’.pE«:‘ 357Ž‘ -Ÿ™”‰feŽ‘,‘ˆ˜901Ž‘ˆ˜Ÿ™”‰feŽ‘ˆ›,‘ˆ˜988.ަ’ôà¤Ïis‘‰ffŽ‘®lineŽ’Ñã«:‘ +Ÿ™”‰feŽ‘,‘ˆ˜904Ž‘ˆ˜Ÿ™”‰feŽ‘ˆ›,‘ˆ˜991.ަ’ôà¤Ïis‘‰ffŽ‘®lineŽ’Ñã«:‘ 876,‘3‹879.ަ’ôà¤Ïis‘‰ffŽ‘®line‘ÿ}'arŽ’ö!«:‘ -716,–ÔÊ721,“722,“749,“750,“874Ž“Ÿ™”‰feŽ›ÔÍ,“875Ž“Ÿ™”‰feŽ˜,“876,Ž¡’à¦879,–þl880,“917,“918,“919,“930,“962,“991,“1006,Ž¡’à¦1167,–ûs1168,“1211.ަ’ôà¤Ïis‘‰ffŽ–®on‘‰ffŽ“fr–ÿ}'e“e‘‰ffŽ‘®stor“eŽ’7[y«:‘ +716,–ÔÊ721,“722,“749,“750,“874Ž“Ÿ™”‰feŽ›ÔÍ,“875Ž“Ÿ™”‰feŽ˜,“876,Ž¡’à¦879,–þl880,“920,“921,“922,“933,“965,“994,“1009,Ž¡’à¦1172,–ûs1173,“1216.ަ’ôà¤Ïis‘‰ffŽ–®on‘‰ffŽ“fr–ÿ}'e“e‘‰ffŽ‘®stor“eŽ’7[y«:‘ 95Ž‘ Ÿ™”‰fe -Ž‘,‘­(200Ž‘­(Ÿ™”‰feŽ–­+,‘­(344Ž‘­(Ÿ™”‰feŽ“,–­(685,“687,“698,“703,Ž¡’à¦871Ž’ট™”‰feŽ’à©,‘ ³1334Ž‘ ³Ÿ™”‰feŽ– ·,‘ ³1335Ž‘ ³Ÿ™”‰feŽ“.ަ’ôà¤Ïis‘‰ffŽ–®on‘‰ffŽ“lineŽ’;®«:‘ -349,‘º354Ž‘ºŸ™”‰feŽ–º,‘º355Ž‘ºŸ™”‰feŽ“.ަ’ôà¤Ïis‘‰ffŽ–®on‘‰ffŽ“planeŽ’&c~«:‘ +Ž‘,‘­(200Ž‘­(Ÿ™”‰feŽ–­+,‘­(344Ž‘­(Ÿ™”‰feŽ“,–­(685,“687,“698,“703,Ž¡’à¦871Ž’ট™”‰feŽ’à©,‘ ³1339Ž‘ ³Ÿ™”‰feŽ– ·,‘ ³1340Ž‘ ³Ÿ™”‰feŽ“.ަ’ôà¤Ïis‘‰ffŽ–®on‘‰ffŽ“lineŽ’;®«:‘ +349,‘º354Ž‘ºŸ™”‰feŽ–º,‘º355Ž‘ºŸ™”‰feŽ“.ŽŽŽŽŽŒ‹ò`Ú Šn ý‘ì«498–­INDEX’A²ù3DLDFPRÃŽG“·x«1525Ž €n ý•@PÏis‘‰ffŽ–®on‘‰ffŽ“planeŽ‘1‚Ú«:‘ 356Ž‘ -Ÿ™”‰feŽ‘,‘JÇ637Ž‘JÇŸ™”‰feŽ‘JÊ,–JÇ901,“1163.ަ’ôà¤Ïis‘‰ffŽ–®on‘‰ffŽ“se‘ÿ}'gmentŽ’2ó«:‘ +Ÿ™”‰feŽ‘,‘JÇ637Ž‘JÇŸ™”‰feŽ‘JÊ,–JÇ904,“1168.ޤ 4[Ïis‘‰ffŽ–®on‘‰ffŽ“se‘ÿ}'gmentŽ‘=5O«:‘ 349Ž‘ -Ÿ™”‰feŽ‘,‘±350Ž‘±Ÿ™”‰feŽ–±,‘±352Ž‘±Ÿ™”‰feŽ“,‘±353Ž‘±Ÿ™”‰feŽ“,–±355,“541,“603,Ž¡’à¦958,–T£960,“985,“987,“988,“996.ަ’ôà¤Ïis‘‰ffŽ‘®op‘ÿ}'enŽ’쪫:‘ -106,‘&108.ަ’ôà¤Ïis‘‰ffŽ‘®planarŽ’3«:‘ +Ÿ™”‰feŽ‘,‘±350Ž‘±Ÿ™”‰feŽ–±,‘±352Ž‘±Ÿ™”‰feŽ“,‘±353Ž‘±Ÿ™”‰feŽ“,–±355,“541,“603,Ž© ‘961,–T£963,“988,“990,“991,“999.Ž¡Ïis‘‰ffŽ‘®op‘ÿ}'enŽ‘ «:‘ +106,‘&108.Ž¡Ïis‘‰ffŽ‘®p–ÿ}'ar“al‘‚ØlelŽ‘+¯p«:‘ +1082.Ž¡Ïis‘‰ffŽ‘®planarŽ‘(&«:‘ 872Ž‘ -Ÿ™”‰feŽ‘,‘+873Ž‘+Ÿ™”‰feŽ‘.,–+898,“939,“1041,“1253,“1254,Ž¡’à¦1265,‘VÕ1269.ަ’ôà¤Ïis‘‰ffŽ‘®quadr‘ÿ}'aticŽ’(Ș«:‘ -940Ž‘ -Ÿ™”‰feŽ‘,–й957,“1123Ž“Ÿ™”‰feŽ‘н.ަ’ôà¤Ïis‘‰ffŽ‘®quarticŽ’‘«:‘ -942Ž‘ -Ÿ™”‰feŽ‘,‘š 1126Ž‘š Ÿ™”‰feŽ–š ,‘š 1127Ž‘š Ÿ™”‰feŽ“.ަ’ôà¤Ïise‘ÿ}'ct‘‰ffŽ‘®lineŽ’Ô³«:‘ -1183Ž‘ -Ÿ™”‰feŽ‘.ަ’ôà¤ÝISOŽ’'«:‘ +Ÿ™”‰feŽ‘,‘+873Ž‘+Ÿ™”‰feŽ‘.,–+901,“942,“1044,“1083,“1258,ަ‘1259,–ûs1270,“1274.Ž¡Ïis‘‰ffŽ‘®quadr‘ÿ}'aticŽ‘3çô«:‘ +943Ž‘ +Ÿ™”‰feŽ‘,–й960,“1128Ž“Ÿ™”‰feŽ‘н.Ž¡Ïis‘‰ffŽ‘®quarticŽ‘*1í«:‘ +945Ž‘ +Ÿ™”‰feŽ‘,‘š 1131Ž‘š Ÿ™”‰feŽ–š ,‘š 1132Ž‘š Ÿ™”‰feŽ“.Ž¡Ïis‘‰ffŽ‘®r–ÿ}'e“ctangularŽ‘<¸þ«:‘ +1082Ž‘ +Ÿ™”‰feŽ‘,‘¦·1083Ž‘¦·Ÿ™”‰feŽ‘¦».Ž¡Ïise‘ÿ}'ct‘‰ffŽ‘®lineŽ‘'ô«:‘ +1188Ž‘ +Ÿ™”‰feŽ‘.Ž¡ÝISOŽ‘F_«:‘ 211Ž‘ -Ÿ™”‰feŽ‘,‘Yô212Ž‘YôŸ™”‰feŽ‘Y÷.ŽŽŽŽŽŒ‹íV Šn ý‘ì·x«1517–­3DLDFPRÃŽG’A²ùINDEX“«493Ž €n ý•@PÏiterŽ‘Êþ«:‘ -249,–Ãë543,“545,“546,“549,“550,“551,“552,“659,ޤ ‘685,–Ò734,“739,“741,“743,“765,“766,“770,“771,“830,Ž¡‘840,–þl843,“895,“897,“911,“985,“987,“994,“1118,Ž¡‘1122,–<„1254,“1282,“1297,“1303,“1337,“1339,“1342,Ž¡‘1344,–<„1360,“1362,“1375,“1377,“1379,“1380,“1382,Ž¡‘1383,–<„1385,“1386,“1388,“1389,“1391,“1392,“1394,Ž¡‘1413,–£ÿ1419,“1456,“1460,“1469,“1473,“1483.ޤ 9—Ïiter‘‰ffŽ‘®ctrŽ‘ œ˜«:‘ -1285Ž‘ +Ÿ™”‰feŽ‘,‘Yô212Ž‘YôŸ™”‰feŽ‘Y÷.Ž¡ÏiterŽ‘Êþ«:‘ +249,–Ãë543,“545,“546,“549,“550,“551,“552,“659,ަ‘685,–Ò734,“739,“741,“743,“765,“766,“770,“771,“830,ަ‘840,–þl843,“898,“900,“914,“988,“990,“997,“1123,ަ‘1127,–<„1259,“1287,“1302,“1308,“1342,“1344,“1347,ަ‘1349,–<„1365,“1367,“1380,“1382,“1384,“1385,“1387,ަ‘1388,–<„1390,“1391,“1393,“1394,“1396,“1397,“1399,ަ‘1418,–£ÿ1424,“1461,“1465,“1474,“1478,“1488.Ž¡Ïiter‘‰ffŽ‘®ctrŽ‘ œ˜«:‘ +1290Ž‘ Ÿ™”‰feŽ‘.Ž¡Ïiter‘ÿ}'atorŽ‘" õ«:‘ -249,–ýÄ546,“549,“553,“659,“685,“734,“739,ޤ ‘741,–~l743,“840,“843,“859,“911,“1282,“1285,“1303,Ž¡‘1339,–<„1342,“1344,“1360,“1362,“1375,“1419,“1428,Ž¡‘1456,–Kx1460,“1469,“1473,“1483.ޤ 9—Ïiter0Ž‘.ç«:‘ -1428.Ž¡Ïiter1Ž‘.ç«:‘ -1428.Ž¡±jŽ‘°Ä«:‘ +249,–ýÄ546,“549,“553,“659,“685,“734,“739,ަ‘741,–~l743,“840,“843,“859,“914,“1287,“1290,“1308,ަ‘1344,–<„1347,“1349,“1365,“1367,“1380,“1424,“1433,ަ‘1461,–Kx1465,“1474,“1478,“1488.Ž¡Ïiter0Ž‘.ç«:‘ +1433.Ž¡Ïiter1Ž‘.ç«:‘ +1433.Ž¡±jŽ‘°Ä«:‘ 127Ž‘ -Ÿ™”‰feŽ‘,‘JÕ131Ž‘JÕŸ™”‰feŽ–JØ,‘JÕ133Ž‘JÕŸ™”‰feŽ“,‘JÕ137Ž‘JÕŸ™”‰feŽ“,‘JÕ141Ž‘JÕŸ™”‰feŽ“,‘JÕ143Ž‘JÕŸ™”‰feŽ“,‘JÕ148Ž‘JÕŸ™”‰feŽ“,‘JÕ172Ž‘JÕŸ™”‰feŽ“,‘JÕ174Ž‘JÕŸ™”‰feŽ“,‘JÕ182Ž‘JÕŸ™”‰feŽ“,Ž© ‘399Ž‘Ÿ™”‰feŽ‘#,‘Òd405Ž‘ÒdŸ™”‰feŽ–Òg,‘Òd452Ž‘ÒdŸ™”‰feŽ“,‘Òd1279Ž‘ÒdŸ™”‰feŽ–Òh,‘Òd1282Ž‘ÒdŸ™”‰feŽ“,‘Òd1458Ž‘ÒdŸ™”‰feŽ“,‘Òd1471Ž‘ÒdŸ™”‰feŽ“.Ž¡±kŽ‘…V«:‘ +Ÿ™”‰feŽ‘,‘JÕ131Ž‘JÕŸ™”‰feŽ–JØ,‘JÕ133Ž‘JÕŸ™”‰feŽ“,‘JÕ137Ž‘JÕŸ™”‰feŽ“,‘JÕ141Ž‘JÕŸ™”‰feŽ“,‘JÕ143Ž‘JÕŸ™”‰feŽ“,‘JÕ148Ž‘JÕŸ™”‰feŽ“,‘JÕ172Ž‘JÕŸ™”‰feŽ“,‘JÕ174Ž‘JÕŸ™”‰feŽ“,‘JÕ182Ž‘JÕŸ™”‰feŽ“,ަ‘399Ž‘Ÿ™”‰feŽ‘#,‘Òd405Ž‘ÒdŸ™”‰feŽ–Òg,‘Òd452Ž‘ÒdŸ™”‰feŽ“,‘Òd1284Ž‘ÒdŸ™”‰feŽ–Òh,‘Òd1287Ž‘ÒdŸ™”‰feŽ“,‘Òd1463Ž‘ÒdŸ™”‰feŽ“,‘Òd1476Ž‘ÒdŸ™”‰feŽ“.Ž¡±kŽ‘…V«:‘ 174Ž‘ -Ÿ™”‰feŽ‘,‘!{182Ž‘!{Ÿ™”‰feŽ‘!~,‘!{1279Ž‘!{Ÿ™”‰feŽ‘!.Ž¡Ïkil‘‚Øl‘‰ffŽ‘®lab‘ÿ}'elsŽ‘)Lò«:‘ +Ÿ™”‰feŽ‘,‘!{182Ž‘!{Ÿ™”‰feŽ‘!~,‘!{1284Ž‘!{Ÿ™”‰feŽ‘!.Ž¡Ïkil‘‚Øl‘‰ffŽ‘®lab‘ÿ}'elsŽ‘)Lò«:‘ 231Ž‘ Ÿ™”‰feŽ‘,‘’232Ž‘’Ÿ™”‰feŽ‘•.Ž¡ÏknownŽ‘àÌ«:‘ -1128Ž‘ -Ÿ™”‰feŽ‘,‘µ1129Ž‘µŸ™”‰feŽ‘µ,‘µ1130.Ž¡±lŽ‘.:«:‘ +1133Ž‘ 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Ž“,‘j™182Ž‘j™Ÿ™”‰feŽ–jœ,‘j™345Ž‘j™Ÿ™”‰feŽ“,‘j™346Ž‘j™Ÿ™”‰feŽ“,‘j™623Ž‘j™Ÿ™”‰feŽ“,‘j™624Ž‘j™Ÿ™”‰feŽ“.Ž¡ÏnameŽ‘Æ«:‘ 56Ž‘ Ÿ™”‰fe -Ž‘,–½‰59,“61,“64,“66,“67,“69,“71,“74,“75,Ž© ‘81,–â‹102,“106,“1503.Ž¡Ïnew‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘FNP«:‘ +Ž‘,–½‰59,“61,“64,“66,“67,“69,“71,“74,“75,ަ‘81,–â‹102,“106,“1508.Ž¡Ïnew‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘FNP«:‘ 405Ž‘ Ÿ™”‰feŽ‘.Ž¡Ïnew‘‰ffŽ–®shap‘ÿ}'e‘‰ffŽ“ptrŽ‘=ù’«:‘ 32.Ž¡Ïnnumb›ÿ}'er‘‰ffŽ–®of‘‰ffŽ“p˜ointsŽ‘P_ñ«:‘ -1104Ž‘ -Ÿ™”‰feŽ‘,‘_1105Ž‘_Ÿ™”‰feŽ–c,‘_1106Ž‘_Ÿ™”‰feŽ“,‘_1107Ž‘_Ÿ™”‰feŽ“,‘_1237Ž‘_Ÿ™”‰feŽ“,ަ‘1238Ž‘Ÿ™”‰feŽ‘(,‘ûs1239Ž‘ûsŸ™”‰feŽ–ûw,‘ûs1240Ž‘ûsŸ™”‰feŽ“.Ž¡ÝNO_SORTŽ‘%FS«:‘ +1109Ž‘ +Ÿ™”‰feŽ‘,‘_1110Ž‘_Ÿ™”‰feŽ–c,‘_1111Ž‘_Ÿ™”‰feŽ“,‘_1112Ž‘_Ÿ™”‰feŽ“,‘_1242Ž‘_Ÿ™”‰feŽ“,ަ‘1243Ž‘Ÿ™”‰feŽ‘(,‘ûs1244Ž‘ûsŸ™”‰feŽ–ûw,‘ûs1245Ž‘ûsŸ™”‰feŽ“.Ž¡ÝNO_SORTŽ‘%FS«:‘ 213Ž‘ Ÿ™”‰feŽ‘,‘‚214Ž‘‚Ÿ™”‰feŽ‘‚,–‚453,“547.Ž¡Ïnon‘‰ffŽ‘®stopŽ‘&Ï «:‘ 458,‘Ä863.Ž¡ÏnormalŽ‘ V¸«:‘ 605Ž‘ 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-Ÿ™”‰feŽ‘,‘è41177.Ž¡Ïnormal‘‰ffŽ‘®yŽ‘(¹Â«:‘ -1176Ž‘ -Ÿ™”‰feŽ‘,‘è‹1177.Ž¡Ïnormal‘‰ffŽ‘®zŽ‘(M­«:‘ -1176Ž‘ -Ÿ™”‰feŽ‘,‘éï1177.Ž¡Ïnul‘‚Øl‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘F å«:‘ +1181Ž‘ +Ÿ™”‰feŽ‘,‘è41182.Ž¡Ïnormal‘‰ffŽ‘®yŽ‘(¹Â«:‘ +1181Ž‘ +Ÿ™”‰feŽ‘,‘è‹1182.Ž¡Ïnormal‘‰ffŽ‘®zŽ‘(M­«:‘ +1181Ž‘ +Ÿ™”‰feŽ‘,‘éï1182.Ž¡Ïnul‘‚Øl‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘F å«:‘ 15Ž‘ Ÿ™”‰fe Ž‘,‘óD23Ž‘óDŸ™”‰fe Ž‘ óF,–óD277,“278,“399.Ž¡Ïnumb›ÿ}'er‘‰ffŽ–®of‘‰ffŽ“p˜ointsŽ‘JÀ©«:‘ -938Ž‘ -Ÿ™”‰feŽ‘,–([945,“946,“954,“964,“965,ަ‘1105,–¿ 1115,“1122,“1150,“1152,“1174,“1177,ަ‘1188,–ûs1214,“1238.Ž¡Ïnumb›ÿ}'er‘‰ffŽ–®of‘‰ffŽ“p˜olygon‘‰ffŽ“typ˜esŽ‘j‹«:‘ -1426Ž‘ -Ÿ™”‰feŽ‘,–¡11435,“1438,“1452,ަ‘1455,–Kx1466,“1469,“1480,“1483.Ž¡Ïnumer‘ÿ}'atorŽ‘.Ò«:‘ +941Ž‘ +Ÿ™”‰feŽ‘,–([948,“949,“957,“967,“968,ަ‘1110,–¿ 1120,“1127,“1155,“1157,“1179,“1182,ަ‘1193,–ûs1219,“1243.Ž¡Ïnumb›ÿ}'er‘‰ffŽ–®of‘‰ffŽ“p˜olygon‘‰ffŽ“typ˜esŽ‘j‹«:‘ +1431Ž‘ +Ÿ™”‰feŽ‘,–¡11440,“1443,“1457,ަ‘1460,–Kx1471,“1474,“1485,“1488.Ž¡Ïnumer‘ÿ}'atorŽ‘.Ò«:‘ 641Ž‘ 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+Ÿ™”‰feŽ‘,‘4426Ž‘4Ÿ™”‰feŽ–7,‘4757Ž‘4Ÿ™”‰feŽ“,‘4762Ž‘4Ÿ™”‰feŽ“,‘4763Ž‘4Ÿ™”‰feŽ“,–4764,“765,“766,“767Ž“Ÿ™”‰feŽ‘7,Ž© ‘768Ž‘Ÿ™”‰feŽ‘#,‘Ò769Ž‘ÒŸ™”‰feŽ–Õ,‘Ò770Ž‘ÒŸ™”‰feŽ“,–Ò771,“780Ž“Ÿ™”‰feŽ›Õ,“789Ž“Ÿ™”‰feŽ˜,“798Ž“Ÿ™”‰feŽ˜,“817Ž“Ÿ™”‰feŽ˜,“920Ž“Ÿ™”‰feŽ˜,“921Ž“Ÿ™”‰feŽ˜.Ž¡ÂpairŽ‘|«:‘ +12,–*29,“267,“270,“350,“351,“947.Ž¡ÂpairsŽ‘M«:‘ 270.Ž¡ÝPARALLELŽ‘*†P«:‘ 400.Ž¡ÝPARALLEL_X_YŽ‘?†D«:‘ 211Ž‘ @@ -7492,58 +7596,59 @@ Ÿ™”‰feŽ‘,‘u6212Ž‘u6Ÿ™”‰feŽ‘u9,‘u6400.Ž¡ÂP®9athŽ‘‘d«:‘ 33Ž‘ Ÿ™”‰fe 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-1291Ž‘ -Ÿ™”‰feŽ‘,‘tt1292Ž‘ttŸ™”‰feŽ‘tx,–tt1311,“1312.Ž¡ÂP®9athsŽ‘ «:‘ -207,–@O549,“656,“662,“763,“765,“828,“839,ŽŽ ý•@P’à¦872,–ŠÝ876,“879,“917,“1374.Ž© kû’ôà¤Ïp‘ÿ}'athsŽ’ qQ«:‘ -1291Ž‘ -Ÿ™”‰feŽ‘,–Ö›1297,“1303,“1311,“1312,“1318,“1337,ޤ ’à¦1339,–¿ 1342,“1344,“1360,“1362,“1374,“1375,Ž¡’à¦1377,–<„1379,“1380,“1382,“1383,“1385,“1386,“1388,Ž¡’à¦1389,–¢[1391,“1392,“1394.ަ’ôà¤Ïp‘ÿ}'a0Ž’û«:‘ -1214Ž‘ -Ÿ™”‰feŽ‘.ަ’ôà¤Ïp‘ÿ}'enŽ’úW«:‘ 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«:‘ 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«:‘ 268Ž‘ Ÿ™”‰feŽ‘,‘^#272Ž‘^#Ÿ™”‰feŽ‘^&.Ž¡Ïpp0Ž‘30«:‘ 528Ž‘ Ÿ™”‰feŽ‘,‘Vè603Ž‘V蟙”‰feŽ‘Vë.Ž¡Ïpp1Ž‘30«:‘ 528Ž‘ Ÿ™”‰feŽ‘,‘Vè603Ž‘V蟙”‰feŽ‘Vë.Ž¡Ïpr–ÿ}'e“cisionŽ‘'½6«:‘ -1439,–‘Ä1507,“1508.Ž¡Ïpr–ÿ}'o“gr“am‘‰ffŽ‘®nameŽ‘?vÝ«:‘ +1444,–‘Ä1512,“1513.Ž¡Ïpr–ÿ}'o“gr“am‘‰ffŽ‘®nameŽ‘?vÝ«:‘ 42Ž‘ Ÿ™”‰fe Ž‘,‘¦)43Ž‘¦)Ÿ™”‰fe Ž‘¦+,‘¦)44.Ž¡Ïpr‘ÿ}'ojŽ‘óë:‘ 200Ž‘ 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-Ÿ™”‰feŽ‘.Ž¡’ôà¤Ïpt‘‰ffŽ‘®iterŽ’È «:‘ -1428.Ž¡’ôà¤Ïpt‘‰ffŽ–®on‘‰ffŽ“x‘‰ffŽ“axisŽ’)õÕ«:‘ +Ÿ™”‰feŽ‘,–=210,“268Ž“Ÿ™”‰feŽ›@,“269,“270,“272Ž“Ÿ™”‰feŽ˜,“273,“309Ž“Ÿ™”‰feŽ˜,“411Ž“Ÿ™”‰feŽ˜,Ž¡’à¦415Ž’ট™”‰feŽ’à©,‘>l425Ž‘>lŸ™”‰feŽ–>o,‘>l426Ž‘>lŸ™”‰feŽ“,‘>l428Ž‘>lŸ™”‰feŽ“,‘>l429Ž‘>lŸ™”‰feŽ“,–>l462,“470,“471,“472,Ž¡’à¦541,–>l545,“546,“553,“601Ž“Ÿ™”‰feŽ‘>o,“603,“605,“606,“607,Ž¡’à¦641,‘>l754Ž‘>lŸ™”‰feŽ–>o,‘>l755Ž‘>lŸ™”‰feŽ“,‘>l756Ž‘>lŸ™”‰feŽ“,‘>l757Ž‘>lŸ™”‰feŽ“,‘>l798Ž‘>lŸ™”‰feŽ“,‘>l799Ž‘>lŸ™”‰feŽ“,‘>l817Ž‘>lŸ™”‰feŽ“,‘>l818Ž‘>lŸ™”‰feŽ“,Ž¡’à¦958,–>l959,“960,“961,“963,“988,“990,“991,“997,Ž¡’à¦999,–1163,“1164,“1179,“1184,“1186,“1188,“1221,Ž¡’à¦1228,–ö¶1268,“1357Ž“Ÿ™”‰feŽ›öº,“1358Ž“Ÿ™”‰feŽ˜,“1444,“1451.ަ’ôà¤Ïpt‘‰ffŽ‘®c4Ž’ ‘‰«:‘ +949Ž‘ +Ÿ™”‰feŽ‘.ަ’ôà¤Ïpt‘‰ffŽ‘®iterŽ’È «:‘ +1433.ަ’ôà¤Ïpt‘‰ffŽ–®on‘‰ffŽ“x‘‰ffŽ“axisŽ’)õÕ«:‘ 382Ž‘ -Ÿ™”‰feŽ‘.Ž¡’ôà¤Ïpt‘‰ffŽ–®on‘‰ffŽ“z‘‰ffŽ“axisŽ’)i«:‘ +Ÿ™”‰feŽ‘.ަ’ôà¤Ïpt‘‰ffŽ–®on‘‰ffŽ“z‘‰ffŽ“axisŽ’)i«:‘ 383Ž‘ -Ÿ™”‰feŽ‘,–˜ð384,“386.Ž¡’ôà¤Ïpt‘‰ffŽ‘®ve‘ÿ}'ctorŽ’„U«:‘ -950,‘ãÅ951Ž‘ãÅŸ™”‰feŽ›ãÈ,–ãÅ952,“953,“960,“982Ž“Ÿ™”‰feŽ˜,“983,Ž© ’à¦984,‘wÁ987.Ž¡’ôà¤ÏptrŽ’k«:‘ -994Ž‘ -Ÿ™”‰feŽ‘,‘P31307Ž‘P3Ÿ™”‰feŽ‘P7.Ž¡’ôà¤ÏptsŽ’»J«:‘ -1415Ž‘ -Ÿ™”‰feŽ‘,‘`¸1438Ž‘`¸Ÿ™”‰feŽ›`¼,–`¸1439,“1440,“1444Ž“Ÿ™”‰feŽ˜,“1446Ž“Ÿ™”‰feŽ˜,“1455Ž“Ÿ™”‰feŽ˜,ަ’à¦1456,‘¿ 1458Ž‘¿ Ÿ™”‰feŽ–¿ ,‘¿ 1459Ž‘¿ Ÿ™”‰feŽ“,‘¿ 1469Ž‘¿ Ÿ™”‰feŽ“,‘¿ 1471Ž‘¿ Ÿ™”‰feŽ“,‘¿ 1473Ž‘¿ Ÿ™”‰feŽ“,‘¿ 1483Ž‘¿ Ÿ™”‰feŽ“,ަ’à¦1485Ž’ট™”‰feŽ’àª,‘VÕ1486.Ž¡’ôà¤Ïpt0Ž’Iß«:‘ +Ÿ™”‰feŽ‘,–˜ð384,“386.ަ’ôà¤Ïpt‘‰ffŽ‘®ve‘ÿ}'ctorŽ’„U«:‘ +953,‘ãÅ954Ž‘ãÅŸ™”‰feŽ›ãÈ,–ãÅ955,“956,“963,“985Ž“Ÿ™”‰feŽ˜,“986,Ž¡’à¦987,‘wÁ990.ަ’ôà¤ÏptrŽ’k«:‘ +997Ž‘ +Ÿ™”‰feŽ‘,‘P31312Ž‘P3Ÿ™”‰feŽ‘P7.ަ’ôà¤ÏptsŽ’»J«:‘ +1420Ž‘ +Ÿ™”‰feŽ‘,‘`¸1443Ž‘`¸Ÿ™”‰feŽ›`¼,–`¸1444,“1445,“1449Ž“Ÿ™”‰feŽ˜,“1451Ž“Ÿ™”‰feŽ˜,“1460Ž“Ÿ™”‰feŽ˜,Ž¡’à¦1461,‘¿ 1463Ž‘¿ Ÿ™”‰feŽ–¿ ,‘¿ 1464Ž‘¿ Ÿ™”‰feŽ“,‘¿ 1474Ž‘¿ Ÿ™”‰feŽ“,‘¿ 1476Ž‘¿ Ÿ™”‰feŽ“,‘¿ 1478Ž‘¿ Ÿ™”‰feŽ“,‘¿ 1488Ž‘¿ Ÿ™”‰feŽ“,Ž¡’à¦1490Ž’ট™”‰feŽ’àª,‘VÕ1491.ަ’ôà¤Ïpt0Ž’Iß«:‘ 149Ž‘ -Ÿ™”‰feŽ‘,‘Õ›717ޑ՛Ÿ™”‰feŽ–Õž,‘Õ›945ޑ՛Ÿ™”‰feŽ“,‘Õ›946ޑ՛Ÿ™”‰feŽ“,‘Õ›951ޑ՛Ÿ™”‰feŽ“,–Õ›954,“958,“960,“981Ž“Ÿ™”‰feŽ‘Õž,ަ’à¦982Ž’ট™”‰feŽ’à©,–|985,“987,“988,“1066Ž“Ÿ™”‰feŽ›|,“1067Ž“Ÿ™”‰feŽ˜,“1068Ž“Ÿ™”‰feŽ˜,“1069Ž“Ÿ™”‰feŽ˜,“1158,ަ’à¦1159Ž’ট™”‰feŽ’àª,‘<„1166Ž‘<„Ÿ™”‰feŽ–<ˆ,‘<„1174Ž‘<„Ÿ™”‰feŽ“,‘<„1183Ž‘<„Ÿ™”‰feŽ“,‘<„1214Ž‘<„Ÿ™”‰feŽ“,‘<„1258Ž‘<„Ÿ™”‰feŽ“,‘<„1259Ž‘<„Ÿ™”‰feŽ“,‘<„1279Ž‘<„Ÿ™”‰feŽ“.Ž¡’ôà¤Ïpt0‘‰ffŽ‘®hŽ’ }¿«:‘ -946Ž‘ -Ÿ™”‰feŽ‘,‘­ð954Ž‘­ðŸ™”‰feŽ‘­ó,–­ð956,“957.Ž¡’ôà¤Ïpt0‘‰ffŽ‘®vŽ’ J«:‘ -946Ž‘ -Ÿ™”‰feŽ‘,‘®–954Ž‘®–Ÿ™”‰feŽ‘®™,–®–955,“957.Ž¡’ôà¤Ïpt1Ž’Iß«:‘ +Ÿ™”‰feŽ‘,‘Õ›717ޑ՛Ÿ™”‰feŽ–Õž,‘Õ›948ޑ՛Ÿ™”‰feŽ“,‘Õ›949ޑ՛Ÿ™”‰feŽ“,‘Õ›954ޑ՛Ÿ™”‰feŽ“,–Õ›957,“961,“963,“984Ž“Ÿ™”‰feŽ‘Õž,Ž¡’à¦985Ž’ট™”‰feŽ’à©,–|988,“990,“991,“1069Ž“Ÿ™”‰feŽ›|,“1070Ž“Ÿ™”‰feŽ˜,“1071Ž“Ÿ™”‰feŽ˜,“1072Ž“Ÿ™”‰feŽ˜,“1163,Ž¡’à¦1164Ž’ট™”‰feŽ’àª,‘<„1171Ž‘<„Ÿ™”‰feŽ–<ˆ,‘<„1179Ž‘<„Ÿ™”‰feŽ“,‘<„1188Ž‘<„Ÿ™”‰feŽ“,‘<„1219Ž‘<„Ÿ™”‰feŽ“,‘<„1263Ž‘<„Ÿ™”‰feŽ“,‘<„1264Ž‘<„Ÿ™”‰feŽ“,‘<„1284Ž‘<„Ÿ™”‰feŽ“.ަ’ôà¤Ïpt0‘‰ffŽ‘®hŽ’ }¿«:‘ +949Ž‘ +Ÿ™”‰feŽ‘,‘­ð957Ž‘­ðŸ™”‰feŽ‘­ó,–­ð959,“960.ަ’ôà¤Ïpt0‘‰ffŽ‘®vŽ’ J«:‘ +949Ž‘ +Ÿ™”‰feŽ‘,‘®–957Ž‘®–Ÿ™”‰feŽ‘®™,–®–958,“960.ަ’ôà¤Ïpt1Ž’Iß«:‘ 149Ž‘ -Ÿ™”‰feŽ‘,‘Õ›717ޑ՛Ÿ™”‰feŽ–Õž,‘Õ›946ޑ՛Ÿ™”‰feŽ“,‘Õ›951ޑ՛Ÿ™”‰feŽ“,–Õ›954,“958,“960,“981Ž“Ÿ™”‰feŽ›Õž,“982Ž“Ÿ™”‰feŽ˜,ަ’à¦985,–K987,“988,“1066Ž“Ÿ™”‰feŽ›O,“1067Ž“Ÿ™”‰feŽ˜,“1068Ž“Ÿ™”‰feŽ˜,“1069Ž“Ÿ™”‰feŽ˜,“1166Ž“Ÿ™”‰feŽ˜,ަ’à¦1174Ž’ট™”‰feŽ’àª,‘¢[1214Ž‘¢[Ÿ™”‰feŽ–¢_,‘¢[1258Ž‘¢[Ÿ™”‰feŽ“,‘¢[1259Ž‘¢[Ÿ™”‰feŽ“.Ž¡’ôà¤Ïpt1‘‰ffŽ‘®hŽ’ }¿«:‘ -954Ž‘ -Ÿ™”‰feŽ‘,‘AË956.Ž¡’ôà¤Ïpt1‘‰ffŽ‘®vŽ’ J«:‘ -954Ž‘ -Ÿ™”‰feŽ‘.Ž¡’ôà¤Ïpt2Ž’Iß«:‘ +Ÿ™”‰feŽ‘,‘Õ›717ޑ՛Ÿ™”‰feŽ–Õž,‘Õ›949ޑ՛Ÿ™”‰feŽ“,‘Õ›954ޑ՛Ÿ™”‰feŽ“,–Õ›957,“961,“963,“984Ž“Ÿ™”‰feŽ›Õž,“985Ž“Ÿ™”‰feŽ˜,Ž¡’à¦988,–K990,“991,“1069Ž“Ÿ™”‰feŽ›O,“1070Ž“Ÿ™”‰feŽ˜,“1071Ž“Ÿ™”‰feŽ˜,“1072Ž“Ÿ™”‰feŽ˜,“1171Ž“Ÿ™”‰feŽ˜,Ž¡’à¦1179Ž’ট™”‰feŽ’àª,‘¢[1219Ž‘¢[Ÿ™”‰feŽ–¢_,‘¢[1263Ž‘¢[Ÿ™”‰feŽ“,‘¢[1264Ž‘¢[Ÿ™”‰feŽ“.ަ’ôà¤Ïpt1‘‰ffŽ‘®hŽ’ }¿«:‘ +957Ž‘ +Ÿ™”‰feŽ‘,‘AË959.ަ’ôà¤Ïpt1‘‰ffŽ‘®vŽ’ J«:‘ +957Ž‘ +Ÿ™”‰feŽ‘.ަ’ôà¤Ïpt2Ž’Iß«:‘ 149Ž‘ -Ÿ™”‰feŽ‘,‘š"1066Ž‘š"Ÿ™”‰feŽ–š&,‘š"1067Ž‘š"Ÿ™”‰feŽ“,‘š"1068Ž‘š"Ÿ™”‰feŽ“,‘š"1069Ž‘š"Ÿ™”‰feŽ“,‘š"1174Ž‘š"Ÿ™”‰feŽ“,‘š"1214Ž‘š"Ÿ™”‰feŽ“.Ž¡’ôà¤Ïpt20Ž’ fO«:‘ -1178Ž‘ -Ÿ™”‰feŽ‘,‘+ 1179.Ž¡’ôà¤Ïpt21Ž’ fO«:‘ -1178Ž‘ -Ÿ™”‰feŽ‘,‘+ 1179.Ž¡’ôà¤Ïpt22Ž’ fO«:‘ -1178Ž‘ -Ÿ™”‰feŽ‘,‘+ 1179.Ž¡’ôà¤Ïpt23Ž’ fO«:‘ -1178Ž‘ -Ÿ™”‰feŽ‘,‘+ 1179.Ž¡’ôà¤Ïpt3Ž’Iß«:‘ -1066Ž‘ -Ÿ™”‰feŽ‘,‘Ý1067Ž‘ÝŸ™”‰feŽ–Ý,‘Ý1068Ž‘ÝŸ™”‰feŽ“,‘Ý1069Ž‘ÝŸ™”‰feŽ“,‘Ý1174Ž‘ÝŸ™”‰feŽ“,‘Ý1214Ž‘ÝŸ™”‰feŽ“.Ž¡’ôà¤Ïpt4Ž’Iß«:‘ -1067Ž‘ -Ÿ™”‰feŽ‘,‘;à1214Ž‘;àŸ™”‰feŽ‘;ä.Ž¡’ôà¤Ïpt5Ž’Iß«:‘ -1067Ž‘ -Ÿ™”‰feŽ‘,‘;à1214Ž‘;àŸ™”‰feŽ‘;ä.Ž¡’ôà¤Ïpt6Ž’Iß«:‘ -1067Ž‘ -Ÿ™”‰feŽ‘,‘;à1214Ž‘;àŸ™”‰feŽ‘;ä.Ž¡’ôà¤Ïpt7Ž’Iß«:‘ -1067Ž‘ -Ÿ™”‰feŽ‘,‘;à1214Ž‘;àŸ™”‰feŽ‘;ä.Ž¡’ôà¤Ïpt8Ž’Iß«:‘ -1067Ž‘ -Ÿ™”‰feŽ‘,‘;à1214Ž‘;àŸ™”‰feŽ‘;ä.Ž¡’ôà¤Ïpt9Ž’Iß«:‘ -1214Ž‘ -Ÿ™”‰feŽ‘.Ž¡’ôà¤ÏpurpleŽ’Ù«:‘ -108,‘çò112Ž‘çòŸ™”‰feŽ–çõ,‘çò113Ž‘çòŸ™”‰feŽ“.Ž¡’ôà¤Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ’ 8ö«:‘ -226,–€n228,“443,“543,“545,“549,“657,“664,ަ’à¦666,–Ò669,“671,“674,“676,“709,“755,“757,“759,“764,ަ’à¦765,–Ò766,“770,“771,“840,“885,“886,“910,“994,“996,ަ’à¦1031,–<„1062,“1067,“1105,“1282,“1297,“1303,“1360,ަ’à¦1374,–<„1375,“1413,“1415,“1428,“1444,“1456,“1458,ަ’à¦1469,–ö¶1471,“1483,“1485,“1486,“1500.Ž¡’ôà¤Ïp0Ž’÷d«:‘ +Ÿ™”‰feŽ‘,‘š"1069Ž‘š"Ÿ™”‰feŽ–š&,‘š"1070Ž‘š"Ÿ™”‰feŽ“,‘š"1071Ž‘š"Ÿ™”‰feŽ“,‘š"1072Ž‘š"Ÿ™”‰feŽ“,‘š"1179Ž‘š"Ÿ™”‰feŽ“,‘š"1219Ž‘š"Ÿ™”‰feŽ“.ަ’ôà¤Ïpt20Ž’ fO«:‘ +1183Ž‘ +Ÿ™”‰feŽ‘,‘+ 1184.ަ’ôà¤Ïpt21Ž’ fO«:‘ +1183Ž‘ +Ÿ™”‰feŽ‘,‘+ 1184.ަ’ôà¤Ïpt22Ž’ fO«:‘ +1183Ž‘ +Ÿ™”‰feŽ‘,‘+ 1184.ަ’ôà¤Ïpt23Ž’ fO«:‘ +1183Ž‘ +Ÿ™”‰feŽ‘,‘+ 1184.ަ’ôà¤Ïpt3Ž’Iß«:‘ +1069Ž‘ +Ÿ™”‰feŽ‘,‘Ý1070Ž‘ÝŸ™”‰feŽ–Ý,‘Ý1071Ž‘ÝŸ™”‰feŽ“,‘Ý1072Ž‘ÝŸ™”‰feŽ“,‘Ý1179Ž‘ÝŸ™”‰feŽ“,‘Ý1219Ž‘ÝŸ™”‰feŽ“.ަ’ôà¤Ïpt4Ž’Iß«:‘ +1070Ž‘ +Ÿ™”‰feŽ‘,‘;à1219Ž‘;àŸ™”‰feŽ‘;ä.ަ’ôà¤Ïpt5Ž’Iß«:‘ +1070Ž‘ +Ÿ™”‰feŽ‘,‘;à1219Ž‘;àŸ™”‰feŽ‘;ä.ަ’ôà¤Ïpt6Ž’Iß«:‘ +1070Ž‘ +Ÿ™”‰feŽ‘,‘;à1219Ž‘;àŸ™”‰feŽ‘;ä.ަ’ôà¤Ïpt7Ž’Iß«:‘ +1070Ž‘ +Ÿ™”‰feŽ‘,‘;à1219Ž‘;àŸ™”‰feŽ‘;ä.ަ’ôà¤Ïpt8Ž’Iß«:‘ +1070Ž‘ +Ÿ™”‰feŽ‘,‘;à1219Ž‘;àŸ™”‰feŽ‘;ä.ަ’ôà¤Ïpt9Ž’Iß«:‘ +1219Ž‘ +Ÿ™”‰feŽ‘.ަ’ôà¤ÏpurpleŽ’Ù«:‘ +108,‘çò112Ž‘çòŸ™”‰feŽ–çõ,‘çò113Ž‘çòŸ™”‰feŽ“.ަ’ôà¤Ïpush‘‰ffŽ‘®b‘ÿ}'ackŽ’ 8ö«:‘ +226,–€n228,“443,“543,“545,“549,“657,“664,Ž¡’à¦666,–Ò669,“671,“674,“676,“709,“755,“757,“759,“764,ŽŽŽŽŽŒ‹÷*M Šn ý‘ì·x«1525–­3DLDFPRÃŽG’A²ùINDEX“«503Ž €n ý•@P‘765,–Ò766,“770,“771,“840,“885,“886,“913,“997,“999,ޤ ‘1034,–<„1065,“1070,“1110,“1287,“1302,“1308,“1365,Ž¡‘1379,–<„1380,“1418,“1420,“1433,“1449,“1461,“1463,Ž¡‘1474,–ö¶1476,“1488,“1490,“1491,“1505.Ž© šÔÏp0Ž‘ À«:‘ 166Ž‘ -Ÿ™”‰feŽ‘,‘!168Ž‘!Ÿ™”‰feŽ–$,‘!243Ž‘!Ÿ™”‰feŽ“,‘!349Ž‘!Ÿ™”‰feŽ“,‘!350Ž‘!Ÿ™”‰feŽ“,–!351,“352Ž“Ÿ™”‰feŽ›$,“353Ž“Ÿ™”‰feŽ˜,“354Ž“Ÿ™”‰feŽ˜,ަ’à¦355Ž’ট™”‰feŽ’à©,‘Ò357Ž‘ÒŸ™”‰feŽ›Õ,–Ò379,“380Ž“Ÿ™”‰feŽ˜,“381,“389,“392Ž“Ÿ™”‰feŽ˜,“393Ž“Ÿ™”‰feŽ˜,“395Ž“Ÿ™”‰feŽ˜,“396Ž“Ÿ™”‰feŽ˜,ަ’à¦476,‘Ò511Ž‘ÒŸ™”‰feŽ–Õ,‘Ò512Ž‘ÒŸ™”‰feŽ“,‘Ò529Ž‘ÒŸ™”‰feŽ“,‘Ò530Ž‘ÒŸ™”‰feŽ“,–Ò531,“541,“640Ž“Ÿ™”‰feŽ›Õ,“641Ž“Ÿ™”‰feŽ˜,“663Ž“Ÿ™”‰feŽ˜,ަ’à¦664Ž’ট™”‰feŽ’à©,‘Ò665Ž‘ÒŸ™”‰feŽ–Õ,‘Ò666Ž‘ÒŸ™”‰feŽ“,‘Ò719Ž‘ÒŸ™”‰feŽ“,‘Ò720Ž‘ÒŸ™”‰feŽ“,‘Ò721Ž‘ÒŸ™”‰feŽ“,‘Ò748Ž‘ÒŸ™”‰feŽ“,‘Ò751Ž‘ÒŸ™”‰feŽ“,‘Ò752Ž‘ÒŸ™”‰feŽ“,‘Ò897Ž‘ÒŸ™”‰feŽ“,ަ’à¦901Ž’ট™”‰feŽ’à©,‘Òí950Ž‘Òퟙ”‰feŽ‘Òð,‘Òí1003Ž‘Òퟙ”‰feŽ–Òñ,‘Òí1004Ž‘Òퟙ”‰feŽ“,‘Òí1083Ž‘Òퟙ”‰feŽ“,‘Òí1122Ž‘Òퟙ”‰feŽ“,‘Òí1165Ž‘Òퟙ”‰feŽ“,‘Òí1208Ž‘Òퟙ”‰feŽ“,ަ’à¦1209Ž’ট™”‰feŽ’àª,‘ö¶1223Ž‘ö¶Ÿ™”‰feŽ–öº,‘ö¶1282Ž‘ö¶Ÿ™”‰feŽ“,‘ö¶1285Ž‘ö¶Ÿ™”‰feŽ“,‘ö¶1356Ž‘ö¶Ÿ™”‰feŽ“,‘ö¶1357Ž‘ö¶Ÿ™”‰feŽ“.Ž¡’ôà¤ÝP0Ž’ÿç«:‘ -1439Ž‘ -Ÿ™”‰feŽ‘.Ž¡’ôà¤Ïp0‘‰ffŽ‘®xŽ’ "B«:‘ +Ÿ™”‰feŽ‘,‘!168Ž‘!Ÿ™”‰feŽ–$,‘!243Ž‘!Ÿ™”‰feŽ“,‘!349Ž‘!Ÿ™”‰feŽ“,‘!350Ž‘!Ÿ™”‰feŽ“,–!351,“352Ž“Ÿ™”‰feŽ›$,“353Ž“Ÿ™”‰feŽ˜,“354Ž“Ÿ™”‰feŽ˜,Ž¡‘355Ž‘Ÿ™”‰feŽ‘#,‘Ò357Ž‘ÒŸ™”‰feŽ›Õ,–Ò379,“380Ž“Ÿ™”‰feŽ˜,“381,“389,“392Ž“Ÿ™”‰feŽ˜,“393Ž“Ÿ™”‰feŽ˜,“395Ž“Ÿ™”‰feŽ˜,“396Ž“Ÿ™”‰feŽ˜,Ž¡‘476,‘>l529Ž‘>lŸ™”‰feŽ–>o,‘>l530Ž‘>lŸ™”‰feŽ“,–>l531,“541,“640Ž“Ÿ™”‰feŽ›>o,“641Ž“Ÿ™”‰feŽ˜,“663Ž“Ÿ™”‰feŽ˜,“664Ž“Ÿ™”‰feŽ˜,Ž¡‘665Ž‘Ÿ™”‰feŽ‘#,‘>l666Ž‘>lŸ™”‰feŽ–>o,‘>l719Ž‘>lŸ™”‰feŽ“,‘>l720Ž‘>lŸ™”‰feŽ“,‘>l721Ž‘>lŸ™”‰feŽ“,‘>l748Ž‘>lŸ™”‰feŽ“,‘>l751Ž‘>lŸ™”‰feŽ“,‘>l752Ž‘>lŸ™”‰feŽ“,‘>l900Ž‘>lŸ™”‰feŽ“,Ž¡‘904Ž‘Ÿ™”‰feŽ‘#,‘Òí953Ž‘Òퟙ”‰feŽ‘Òð,‘Òí1006Ž‘Òퟙ”‰feŽ–Òñ,‘Òí1007Ž‘Òퟙ”‰feŽ“,‘Òí1088Ž‘Òퟙ”‰feŽ“,‘Òí1127Ž‘Òퟙ”‰feŽ“,‘Òí1170Ž‘Òퟙ”‰feŽ“,‘Òí1213Ž‘Òퟙ”‰feŽ“,Ž¡‘1214Ž‘Ÿ™”‰feŽ‘(,‘ö¶1228Ž‘ö¶Ÿ™”‰feŽ–öº,‘ö¶1287Ž‘ö¶Ÿ™”‰feŽ“,‘ö¶1290Ž‘ö¶Ÿ™”‰feŽ“,‘ö¶1361Ž‘ö¶Ÿ™”‰feŽ“,‘ö¶1362Ž‘ö¶Ÿ™”‰feŽ“.ަÝP0Ž‘ b«:‘ +1444Ž‘ +Ÿ™”‰feŽ‘.ަÏp0‘‰ffŽ‘®xŽ‘Až«:‘ 531Ž‘ -Ÿ™”‰feŽ‘,–+Ô532,“535,“536,“538,“540.Ž¡’ôà¤Ïp0‘‰ffŽ‘®yŽ’ ñ«:‘ +Ÿ™”‰feŽ‘,–+Ô532,“535,“536,“538,“540.ަÏp0‘‰ffŽ‘®yŽ‘'M«:‘ 531Ž‘ -Ÿ™”‰feŽ‘,–q¹532,“535,“536,“539.ŽŽŽŽŽŒ‹ò H Šn ý‘ì«498–­INDEX’A²ù3DLDFPRÃŽG“·x«1517Ž €n ý•@PÏp0‘‰ffŽ‘®zŽ‘»8«:‘ +Ÿ™”‰feŽ‘,–q¹532,“535,“536,“539.ަÏp0‘‰ffŽ‘®zŽ‘»8«:‘ 531Ž‘ -Ÿ™”‰feŽ‘,–s532,“536,“538,“540.Ž© 2ÐÏp1Ž‘ À«:‘ +Ÿ™”‰feŽ‘,–s532,“536,“538,“540.ަÏp1Ž‘ À«:‘ 166Ž‘ -Ÿ™”‰feŽ‘,‘!168Ž‘!Ÿ™”‰feŽ–$,‘!243Ž‘!Ÿ™”‰feŽ“,‘!349Ž‘!Ÿ™”‰feŽ“,‘!350Ž‘!Ÿ™”‰feŽ“,–!351,“352Ž“Ÿ™”‰feŽ›$,“353Ž“Ÿ™”‰feŽ˜,“354Ž“Ÿ™”‰feŽ˜,ޤ ‘355Ž‘Ÿ™”‰feŽ‘#,‘Ò357Ž‘ÒŸ™”‰feŽ›Õ,–Ò379,“380Ž“Ÿ™”‰feŽ˜,“381,“382,“383,“385,“386,“387,Ž¡‘388,–Ò389,“392Ž“Ÿ™”‰feŽ›Õ,“393Ž“Ÿ™”‰feŽ˜,“395Ž“Ÿ™”‰feŽ˜,“396Ž“Ÿ™”‰feŽ˜,“511Ž“Ÿ™”‰feŽ˜,“512Ž“Ÿ™”‰feŽ˜,“529Ž“Ÿ™”‰feŽ˜,“530Ž“Ÿ™”‰feŽ˜,Ž¡‘531,–Ò541,“640Ž“Ÿ™”‰feŽ›Õ,“641Ž“Ÿ™”‰feŽ˜,“663Ž“Ÿ™”‰feŽ˜,“664Ž“Ÿ™”‰feŽ˜,“665Ž“Ÿ™”‰feŽ˜,“666Ž“Ÿ™”‰feŽ˜,“719Ž“Ÿ™”‰feŽ˜,“720Ž“Ÿ™”‰feŽ˜,Ž¡‘721,‘¾l748Ž‘¾lŸ™”‰feŽ–¾o,‘¾l751Ž‘¾lŸ™”‰feŽ“,‘¾l752Ž‘¾lŸ™”‰feŽ“,‘¾l897Ž‘¾lŸ™”‰feŽ“,‘¾l901Ž‘¾lŸ™”‰feŽ“,‘¾l950Ž‘¾lŸ™”‰feŽ“,‘¾l1003Ž‘¾lŸ™”‰feŽ–¾p,‘¾l1004Ž‘¾lŸ™”‰feŽ“,Ž¡‘1083Ž‘Ÿ™”‰feŽ‘(,‘ö¶1165Ž‘ö¶Ÿ™”‰feŽ–öº,‘ö¶1208Ž‘ö¶Ÿ™”‰feŽ“,‘ö¶1209Ž‘ö¶Ÿ™”‰feŽ“,‘ö¶1356Ž‘ö¶Ÿ™”‰feŽ“,‘ö¶1357Ž‘ö¶Ÿ™”‰feŽ“.ަÝP1Ž‘ b«:‘ -1439Ž‘ +Ÿ™”‰feŽ‘,‘!168Ž‘!Ÿ™”‰feŽ–$,‘!243Ž‘!Ÿ™”‰feŽ“,‘!349Ž‘!Ÿ™”‰feŽ“,‘!350Ž‘!Ÿ™”‰feŽ“,–!351,“352Ž“Ÿ™”‰feŽ›$,“353Ž“Ÿ™”‰feŽ˜,“354Ž“Ÿ™”‰feŽ˜,Ž¡‘355Ž‘Ÿ™”‰feŽ‘#,‘Ò357Ž‘ÒŸ™”‰feŽ›Õ,–Ò379,“380Ž“Ÿ™”‰feŽ˜,“381,“382,“383,“385,“386,“387,Ž¡‘388,–>l389,“392Ž“Ÿ™”‰feŽ›>o,“393Ž“Ÿ™”‰feŽ˜,“395Ž“Ÿ™”‰feŽ˜,“396Ž“Ÿ™”‰feŽ˜,“529Ž“Ÿ™”‰feŽ˜,“530Ž“Ÿ™”‰feŽ˜,“531,Ž¡‘541,‘>l640Ž‘>lŸ™”‰feŽ–>o,‘>l641Ž‘>lŸ™”‰feŽ“,‘>l663Ž‘>lŸ™”‰feŽ“,‘>l664Ž‘>lŸ™”‰feŽ“,‘>l665Ž‘>lŸ™”‰feŽ“,‘>l666Ž‘>lŸ™”‰feŽ“,‘>l719Ž‘>lŸ™”‰feŽ“,‘>l720Ž‘>lŸ™”‰feŽ“,Ž¡‘721,‘¾l748Ž‘¾lŸ™”‰feŽ–¾o,‘¾l751Ž‘¾lŸ™”‰feŽ“,‘¾l752Ž‘¾lŸ™”‰feŽ“,‘¾l900Ž‘¾lŸ™”‰feŽ“,‘¾l904Ž‘¾lŸ™”‰feŽ“,‘¾l953Ž‘¾lŸ™”‰feŽ“,‘¾l1006Ž‘¾lŸ™”‰feŽ–¾p,‘¾l1007Ž‘¾lŸ™”‰feŽ“,Ž¡‘1088Ž‘Ÿ™”‰feŽ‘(,‘ö¶1170Ž‘ö¶Ÿ™”‰feŽ–öº,‘ö¶1213Ž‘ö¶Ÿ™”‰feŽ“,‘ö¶1214Ž‘ö¶Ÿ™”‰feŽ“,‘ö¶1361Ž‘ö¶Ÿ™”‰feŽ“,‘ö¶1362Ž‘ö¶Ÿ™”‰feŽ“.ަÝP1Ž‘ b«:‘ +1444Ž‘ Ÿ™”‰feŽ‘.ަÏp1‘‰ffŽ‘®xŽ‘Až«:‘ 531Ž‘ Ÿ™”‰feŽ‘,–¸·532,“536,“540.ަÏp1‘‰ffŽ‘®yŽ‘'M«:‘ @@ -7685,21 +7790,21 @@ 531Ž‘ Ÿ™”‰feŽ‘,–ºf532,“536,“540.ަÏp2Ž‘ À«:‘ 357Ž‘ -Ÿ™”‰feŽ‘,‘k—897Ž‘k—Ÿ™”‰feŽ–kš,‘k—901Ž‘k—Ÿ™”‰feŽ“,‘k—1083Ž‘k—Ÿ™”‰feŽ–k›,‘k—1282Ž‘k—Ÿ™”‰feŽ“.ަÝP2Ž‘ b«:‘ -1439Ž‘ +Ÿ™”‰feŽ‘,‘k—900Ž‘k—Ÿ™”‰feŽ–kš,‘k—904Ž‘k—Ÿ™”‰feŽ“,‘k—1088Ž‘k—Ÿ™”‰feŽ–k›,‘k—1287Ž‘k—Ÿ™”‰feŽ“.ަÝP2Ž‘ b«:‘ +1444Ž‘ Ÿ™”‰feŽ‘.ަ±qŽ‘Òª«:‘ 513Ž‘ -Ÿ™”‰feŽ‘,‘¦ÿ516Ž‘¦ÿŸ™”‰feŽ–§,‘¦ÿ886Ž‘¦ÿŸ™”‰feŽ“,‘¦ÿ898Ž‘¦ÿŸ™”‰feŽ“,‘¦ÿ901Ž‘¦ÿŸ™”‰feŽ“,‘¦ÿ1163Ž‘¦ÿŸ™”‰feŽ–§,‘¦ÿ1417Ž‘¦ÿŸ™”‰feŽ“,‘¦ÿ1501Ž‘¦ÿŸ™”‰feŽ“.ަÏq‘‰ffŽ‘®plŽ‘}µ«:‘ -901Ž‘ +Ÿ™”‰feŽ‘,‘¦ÿ516Ž‘¦ÿŸ™”‰feŽ–§,‘¦ÿ886Ž‘¦ÿŸ™”‰feŽ“,‘¦ÿ901Ž‘¦ÿŸ™”‰feŽ“,‘¦ÿ904Ž‘¦ÿŸ™”‰feŽ“,‘¦ÿ1168Ž‘¦ÿŸ™”‰feŽ–§,‘¦ÿ1422Ž‘¦ÿŸ™”‰feŽ“,‘¦ÿ1506Ž‘¦ÿŸ™”‰feŽ“.ަÏq‘‰ffŽ‘®plŽ‘}µ«:‘ +904Ž‘ Ÿ™”‰feŽ‘.ަÏqq0Ž‘-~«:‘ 528Ž‘ Ÿ™”‰feŽ‘,‘ZF603Ž‘ZFŸ™”‰feŽ‘ZI.ަÏqq1Ž‘-~«:‘ 528Ž‘ Ÿ™”‰feŽ‘,‘ZF603Ž‘ZFŸ™”‰feŽ‘ZI.ަÏQuaderŽ‘!¨×«:‘ -1406.ަÏquarterŽ‘!F«:‘ -33,–è›963,“967Ž“Ÿ™”‰feŽ‘èž.ަÏq0Ž‘ “ç«:‘ +1411.ަÏquarterŽ‘!F«:‘ +33,–è›966,“970Ž“Ÿ™”‰feŽ‘èž.ަÏq0Ž‘ “ç«:‘ 529Ž‘ -Ÿ™”‰feŽ‘,‘Œè530Ž‘ŒèŸ™”‰feŽ›Œë,–Œè531,“541,“985Ž“Ÿ™”‰feŽ˜.ަÏq0‘‰ffŽ‘®xŽ‘¾Å«:‘ +Ÿ™”‰feŽ‘,‘Œè530Ž‘ŒèŸ™”‰feŽ›Œë,–Œè531,“541,“988Ž“Ÿ™”‰feŽ˜.ަÏq0‘‰ffŽ‘®xŽ‘¾Å«:‘ 531Ž‘ Ÿ™”‰feŽ‘,–-n532,“535,“536,“538,“540.ަÏq0‘‰ffŽ‘®yŽ‘¤t«:‘ 531Ž‘ @@ -7707,7 +7812,7 @@ 531Ž‘ Ÿ™”‰feŽ‘,–t¯532,“536,“538,“540.ަÏq1Ž‘ “ç«:‘ 529Ž‘ -Ÿ™”‰feŽ‘,‘Œè530Ž‘ŒèŸ™”‰feŽ›Œë,–Œè531,“541,“985Ž“Ÿ™”‰feŽ˜.ަÏq1‘‰ffŽ‘®xŽ‘¾Å«:‘ +Ÿ™”‰feŽ‘,‘Œè530Ž‘ŒèŸ™”‰feŽ›Œë,–Œè531,“541,“988Ž“Ÿ™”‰feŽ˜.ަÏq1‘‰ffŽ‘®xŽ‘¾Å«:‘ 531Ž‘ Ÿ™”‰feŽ‘,–º[532,“536,“540.ަÏq1‘‰ffŽ‘®yŽ‘¤t«:‘ 531Ž‘ @@ -7728,171 +7833,172 @@ Ž“,‘=85Ž‘=Ÿ™”‰fe Ž“,‘=86Ž‘=Ÿ™”‰fe Ž“,‘=87Ž‘=Ÿ™”‰fe 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1]’ôà¤Ït‘‰ffŽ‘®al‘‚ØlŽ’(M«:‘ 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+Ÿ™”‰feŽ‘,–164,“517Ž“Ÿ™”‰feŽ‘’,“518,“519,“520,“521,“522,ަ’à¦904Ž’ট™”‰feŽ’à©,–,4905,“906.Ž¡’ôà¤Ït‘‰ffŽ–®z‘‰ffŽ“signŽ’Mñ«:‘ 521Ž‘ Ÿ™”‰feŽ‘.Ž¡’ôà¤ÏtempŽ’ ;«:‘ 503Ž‘ -Ÿ™”‰feŽ‘,‘±ü901Ž‘±üŸ™”‰feŽ‘±ÿ,–±ü902,“903.Ž¡’ôà¤Ïtemp‘‰ffŽ‘®b–ÿ}'o“olŽ’««:‘ -1183Ž‘ -Ÿ™”‰feŽ‘,‘á¿1184.Ž¡’ôà¤Ïtemp‘‰ffŽ‘®cir‘ÿ}'cleŽ’&(—«:‘ -1282Ž‘ +Ÿ™”‰feŽ‘,‘±ü904Ž‘±üŸ™”‰feŽ‘±ÿ,–±ü905,“906.Ž¡’ôà¤Ïtemp‘‰ffŽ‘®b–ÿ}'o“olŽ’««:‘ +1188Ž‘ +Ÿ™”‰feŽ‘,‘á¿1189.Ž¡’ôà¤Ïtemp‘‰ffŽ‘®cir‘ÿ}'cleŽ’&(—«:‘ +1287Ž‘ Ÿ™”‰feŽ‘.Ž¡’ôà¤Ïtemp‘‰ffŽ–®cir›ÿ}'cle‘‰ffŽ“c˜enterŽ’D«:‘ -1282Ž‘ +1287Ž‘ Ÿ™”‰feŽ‘.Ž¡’ôà¤Ïtemp‘‰ffŽ–®cir‘ÿ}'cle‘‰ffŽ“normalŽ’Hê-«:‘ -1282Ž‘ -Ÿ™”‰feŽ‘.Ž¡’ôà¤Ïtemp‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ’?‡«:‘ -397,‘Q 399Ž‘Q Ÿ™”‰feŽ‘Q,‘Q 401.Ž¡’ôà¤Ïtemp‘‰ffŽ‘®matrixŽ’,T«:‘ +1287Ž‘ +Ÿ™”‰feŽ‘.ŽŽŽŽŽŒ‹ûãþ Šn ý‘ì·x«1525–­3DLDFPRÃŽG’A²ùINDEX“«507Ž €n ý•@PÏtemp‘‰ffŽ‘®c–ÿ}'o“or“dinatesŽ‘J¦{«:‘ +397,‘Q 399Ž‘Q Ÿ™”‰feŽ‘Q,‘Q 401.ޤ ?ýÏtemp‘‰ffŽ‘®matrixŽ‘7#°«:‘ 174Ž‘ -Ÿ™”‰feŽ‘.Ž¡’ôà¤Ïtemp‘‰ffŽ‘®ptŽ’©V«:‘ +Ÿ™”‰feŽ‘.Ž¡Ïtemp‘‰ffŽ‘®ptŽ‘"Ȳ«:‘ 605Ž‘ -Ÿ™”‰feŽ‘.Ž¡’ôà¤Ïtemp‘‰ffŽ‘®stringŽ’(¯«:‘ -1183Ž‘ -Ÿ™”‰feŽ‘,‘Æ 1184.Ž¡’ôà¤Ïtemp1Ž’ö«:‘ +Ÿ™”‰feŽ‘.Ž¡Ïtemp‘‰ffŽ‘®stringŽ‘34 «:‘ +1188Ž‘ +Ÿ™”‰feŽ‘,‘Æ 1189.Ž¡Ïtemp1Ž‘0R«:‘ 161Ž‘ -Ÿ™”‰feŽ‘,–ŸA162,“163,“164.Ž¡’ôà¤Ïtemp2Ž’ö«:‘ +Ÿ™”‰feŽ‘,–ŸA162,“163,“164.Ž¡Ïtemp2Ž‘0R«:‘ 161Ž‘ -Ÿ™”‰feŽ‘,–ŸA162,“163,“164.Ž¡’ôà¤Ïtest‘‰ffŽ‘®angleŽ’¤W«:‘ -1180Ž‘ -Ÿ™”‰feŽ‘.Ž¡’ôà¤Ïtest‘‰ffŽ‘®p‘ÿ}'ointsŽ’#™«:‘ -357,‘÷–901.Ž¡’ôà¤ÏT‘ÿ;¼etr–ÿ}'ahe“dr“aŽ’$i4«:‘ -1439.Ž¡’ôà¤ÂT‘ÿ -«etrahedronŽ’3|¨«:‘ -1424,‘¹1431Ž‘¹Ÿ™”‰feŽ›¹¡,–¹1432,“1434,“1435Ž“Ÿ™”‰feŽ˜,ަ’à¦1437,‘<„1438Ž‘<„Ÿ™”‰feŽ‘<ˆ,–<„1439,“1441,“1442,“1443,“1444,“1446.Ž¡’ôà¤Ïtex‘‰ffŽ‘®str–ÿ}'e“amŽ’"ä«:‘ +Ÿ™”‰feŽ‘,–ŸA162,“163,“164.Ž¡Ïtest‘‰ffŽ‘®angleŽ‘*ó«:‘ +1185Ž‘ +Ÿ™”‰feŽ‘.Ž¡Ïtest‘‰ffŽ‘®p‘ÿ}'ointsŽ‘.'õ«:‘ +357,‘÷–904.Ž¡ÏT‘ÿ;¼etr–ÿ}'ahe“dr“aŽ‘/ˆ«:‘ +1444.Ž¡ÂT‘ÿ +«etrahedronŽ‘>œ«:‘ +1429,‘¹1436Ž‘¹Ÿ™”‰feŽ›¹¡,–¹1437,“1439,“1440Ž“Ÿ™”‰feŽ˜,Ž© ‘1442,‘<„1443Ž‘<„Ÿ™”‰feŽ‘<ˆ,–<„1444,“1446,“1447,“1448,“1449,“1451.Ž¡Ïtex‘‰ffŽ‘®str–ÿ}'e“amŽ‘.t«:‘ 39Ž‘ Ÿ™”‰fe Ž‘,‘Î40Ž‘Ο™”‰fe -Ž‘Ð,–Î44,“45,“46,“1511.Ž¡’ôà¤Ïtex‘‰ffŽ›®str–ÿ}'e“am‘‰ffŽ˜nameŽ’>ò«:‘ +Ž‘Ð,–Î44,“45,“46,“1519.Ž¡Ïtex‘‰ffŽ›®str–ÿ}'e“am‘‰ffŽ˜nameŽ‘I0N«:‘ 42Ž‘ Ÿ™”‰fe Ž‘,‘†Ž43Ž‘†ŽŸ™”‰fe -Ž‘†,‘†Ž44.Ž¡’ôà¤ÏtextŽ’8p«:‘ +Ž‘†,‘†Ž44.Ž¡ÏtextŽ‘WÌ«:‘ 92Ž‘ Ÿ™”‰fe Ž‘,‘ÿc93Ž‘ÿcŸ™”‰fe -Ž‘ ÿe,‘ÿc147Ž‘ÿcŸ™”‰feŽ–ÿf,‘ÿc148Ž‘ÿcŸ™”‰feŽ“,‘ÿc200Ž‘ÿcŸ™”‰feŽ“,‘ÿc208Ž‘ÿcŸ™”‰feŽ“,‘ÿc248Ž‘ÿcŸ™”‰feŽ“,‘ÿc249Ž‘ÿcŸ™”‰feŽ“,‘ÿc250Ž‘ÿcŸ™”‰feŽ“,‘ÿc251Ž‘ÿcŸ™”‰feŽ“,ަ’à¦431Ž’ট™”‰feŽ’à©,‘Ò432Ž‘ÒŸ™”‰feŽ–Õ,‘Ò433Ž‘ÒŸ™”‰feŽ“,‘Ò434Ž‘ÒŸ™”‰feŽ“,–Ò462,“471,“472,“608Ž“Ÿ™”‰feŽ›Õ,“609Ž“Ÿ™”‰feŽ˜,“645Ž“Ÿ™”‰feŽ˜,ަ’à¦646Ž’ট™”‰feŽ’à©,‘n!866Ž‘n!Ÿ™”‰feŽ–n$,‘n!867Ž‘n!Ÿ™”‰feŽ“,‘n!872Ž‘n!Ÿ™”‰feŽ“,‘n!873Ž‘n!Ÿ™”‰feŽ“,‘n!874Ž‘n!Ÿ™”‰feŽ“,‘n!875Ž‘n!Ÿ™”‰feŽ“,‘n!1336Ž‘n!Ÿ™”‰feŽ–n%,‘n!1337Ž‘n!Ÿ™”‰feŽ“.Ž¡’ôà¤Ïtext‘‰ffŽ‘®shortŽ’À«:‘ +Ž‘ ÿe,‘ÿc147Ž‘ÿcŸ™”‰feŽ–ÿf,‘ÿc148Ž‘ÿcŸ™”‰feŽ“,‘ÿc200Ž‘ÿcŸ™”‰feŽ“,‘ÿc208Ž‘ÿcŸ™”‰feŽ“,‘ÿc248Ž‘ÿcŸ™”‰feŽ“,‘ÿc249Ž‘ÿcŸ™”‰feŽ“,‘ÿc250Ž‘ÿcŸ™”‰feŽ“,‘ÿc251Ž‘ÿcŸ™”‰feŽ“,ަ‘431Ž‘Ÿ™”‰feŽ‘#,‘Ò432Ž‘ÒŸ™”‰feŽ–Õ,‘Ò433Ž‘ÒŸ™”‰feŽ“,‘Ò434Ž‘ÒŸ™”‰feŽ“,–Ò462,“471,“472,“608Ž“Ÿ™”‰feŽ›Õ,“609Ž“Ÿ™”‰feŽ˜,“645Ž“Ÿ™”‰feŽ˜,ަ‘646Ž‘Ÿ™”‰feŽ‘#,‘n!866Ž‘n!Ÿ™”‰feŽ–n$,‘n!867Ž‘n!Ÿ™”‰feŽ“,‘n!872Ž‘n!Ÿ™”‰feŽ“,‘n!873Ž‘n!Ÿ™”‰feŽ“,‘n!874Ž‘n!Ÿ™”‰feŽ“,‘n!875Ž‘n!Ÿ™”‰feŽ“,‘n!1341Ž‘n!Ÿ™”‰feŽ–n%,‘n!1342Ž‘n!Ÿ™”‰feŽ“.Ž¡Ïtext‘‰ffŽ‘®shortŽ‘*ßo«:‘ 463Ž‘ -Ÿ™”‰feŽ‘,‘†Ë464Ž‘†ËŸ™”‰feŽ–†Î,‘†Ë468Ž‘†ËŸ™”‰feŽ“,‘†Ë469Ž‘†ËŸ™”‰feŽ“,‘†Ë828Ž‘†ËŸ™”‰feŽ“,‘†Ë829Ž‘†ËŸ™”‰feŽ“,‘†Ë830Ž‘†ËŸ™”‰feŽ“,‘†Ë831Ž‘†ËŸ™”‰feŽ“,ަ’à¦832Ž’ট™”‰feŽ’à©,‘š¶834Ž‘š¶Ÿ™”‰feŽ–š¹,‘š¶835Ž‘š¶Ÿ™”‰feŽ“,‘š¶836Ž‘š¶Ÿ™”‰feŽ“,‘š¶837Ž‘š¶Ÿ™”‰feŽ“.Ž¡’ôà¤Ïtext‘‰ffŽ‘®strŽ’§è«:‘ +Ÿ™”‰feŽ‘,‘†Ë464Ž‘†ËŸ™”‰feŽ–†Î,‘†Ë468Ž‘†ËŸ™”‰feŽ“,‘†Ë469Ž‘†ËŸ™”‰feŽ“,‘†Ë828Ž‘†ËŸ™”‰feŽ“,‘†Ë829Ž‘†ËŸ™”‰feŽ“,‘†Ë830Ž‘†ËŸ™”‰feŽ“,‘†Ë831Ž‘†ËŸ™”‰feŽ“,ަ‘832Ž‘Ÿ™”‰feŽ‘#,‘š¶834Ž‘š¶Ÿ™”‰feŽ–š¹,‘š¶835Ž‘š¶Ÿ™”‰feŽ“,‘š¶836Ž‘š¶Ÿ™”‰feŽ“,‘š¶837Ž‘š¶Ÿ™”‰feŽ“.Ž¡Ïtext‘‰ffŽ‘®strŽ‘ ÇD«:‘ 461Ž‘ -Ÿ™”‰feŽ‘,‘Ÿ462Ž‘ŸŸ™”‰feŽ–¢,‘Ÿ466Ž‘ŸŸ™”‰feŽ“,‘Ÿ467Ž‘ŸŸ™”‰feŽ“,‘Ÿ573Ž‘ŸŸ™”‰feŽ“,‘Ÿ574Ž‘ŸŸ™”‰feŽ“.Ž¡’ôà¤ÏthetaŽ’ ŸN«:‘ -1282Ž‘ -Ÿ™”‰feŽ‘,‘#¼1285Ž‘#¼Ÿ™”‰feŽ‘#À.ŽŽŽŽŽŒ‹öØÒ Šn ý‘ì«502–­INDEX’A²ù3DLDFPRÃŽG“·x«1517Ž €n ý•@PÏtheta‘‰ffŽ‘®totalŽ‘.ñ«:‘ -1285Ž‘ -Ÿ™”‰feŽ‘.ޤ „æÏthir‘ÿ}'dŽ‘Üj«:‘ +Ÿ™”‰feŽ‘,‘Ÿ462Ž‘ŸŸ™”‰feŽ–¢,‘Ÿ466Ž‘ŸŸ™”‰feŽ“,‘Ÿ467Ž‘ŸŸ™”‰feŽ“,‘Ÿ573Ž‘ŸŸ™”‰feŽ“,‘Ÿ574Ž‘ŸŸ™”‰feŽ“.Ž¡ÏthetaŽ‘¾ª«:‘ +1287Ž‘ +Ÿ™”‰feŽ‘,‘#¼1290Ž‘#¼Ÿ™”‰feŽ‘#À.Ž¡Ïtheta‘‰ffŽ‘®totalŽ‘.ñ«:‘ +1290Ž‘ +Ÿ™”‰feŽ‘.Ž¡Ïthir‘ÿ}'dŽ‘Üj«:‘ 13Ž‘ Ÿ™”‰fe -Ž‘,‘Rf270Ž‘RfŸ™”‰feŽ‘Ri,–Rf271,“957,“1131,“1132,“1179,Ž© ‘1181,‘VÕ1183.Ž¡ÏthisŽ‘ë¶«:‘ -78,–H143,“149,“151,“153,“156,“159,“164,“171,ަ‘173,–Ò174,“177,“179,“188,“224,“239,“284,“285,“287,ަ‘289,–Ò315,“320,“343,“345,“346,“349,“350,“351,“353,ަ‘356,–Ò357,“388,“392,“393,“395,“409,“411,“415,“418,ަ‘431,–Ò432,“442,“443,“462,“463,“478,“482,“489,“493,ަ‘497,–Ò499,“501,“503,“504,“507,“508,“510,“523,“524,ަ‘526,–Ò544,“545,“557,“563,“566,“568,“570,“601,“622,ަ‘626,–Ò637,“646,“657,“677,“678,“689,“714,“716,“720,ަ‘724,–Ò726,“729,“750,“751,“752,“754,“757,“762,“764,ަ‘768,–Ò770,“771,“776,“780,“789,“798,“802,“807,“813,ަ‘817,–Ò821,“824,“840,“872,“874,“881,“886,“893Ž“Ÿ™”‰feŽ‘Õ,“898,ަ‘901,–Ò909,“911,“912,“913,“917,“929,“945,“946,“950,ަ‘954,–K964,“996,“1001,“1004,“1008,“1010,“1013,ަ‘1024,–<„1034,“1064,“1069,“1077,“1107,“1115,“1121,ަ‘1122,–<„1147,“1162,“1171,“1173,“1174,“1187,“1191,ަ‘1193,–<„1194,“1195,“1196,“1198,“1208,“1238,“1240,ަ‘1248,–<„1249,“1250,“1251,“1253,“1303,“1305,“1346,ަ‘1348,–<„1351,“1353,“1355,“1357,“1360,“1379,“1382,ަ‘1385,–ö¶1388,“1391,“1394,“1421,“1442.Ž¡Ïthis‘‰ffŽ–®axis‘‰ffŽ“orientationŽ‘YMí«:‘ 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+Ÿ™”‰feŽ‘,‘-¯151Ž‘-¯Ÿ™”‰feŽ–-²,‘-¯155Ž‘-¯Ÿ™”‰feŽ“,‘-¯156Ž‘-¯Ÿ™”‰feŽ“,‘-¯158Ž‘-¯Ÿ™”‰feŽ“,‘-¯159Ž‘-¯Ÿ™”‰feŽ“,‘-¯160Ž‘-¯Ÿ™”‰feŽ“,‘-¯161Ž‘-¯Ÿ™”‰feŽ“,‘-¯235Ž‘-¯Ÿ™”‰feŽ“,‘-¯236Ž‘-¯Ÿ™”‰feŽ“,ޤ 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êd«:‘ +957Ž‘ +Ÿ™”‰feŽ‘,‘M1127Ž‘MŸ™”‰feŽ–M,‘M1228Ž‘MŸ™”‰feŽ“,‘M1229Ž‘MŸ™”‰feŽ“.Ž¡Ïx‘‰ffŽ‘®iŽ‘ êd«:‘ 535Ž‘ Ÿ™”‰feŽ‘,–BÐ536,“537,“539,“540,“541.Ž¡ÝX_YŽ‘F_«:‘ -946Ž‘ -Ÿ™”‰feŽ‘,‘îG1177Ž‘îGŸ™”‰feŽ‘îK,‘îG1179.Ž¡ÝX_ZŽ‘F_«:‘ -946Ž‘ -Ÿ™”‰feŽ‘,‘îG1177Ž‘îGŸ™”‰feŽ‘îK,‘îG1179.Ž¡ÏxxŽ‘ +949Ž‘ +Ÿ™”‰feŽ‘,‘îG1182Ž‘îGŸ™”‰feŽ‘îK,‘îG1184.Ž¡ÝX_ZŽ‘F_«:‘ +949Ž‘ +Ÿ™”‰feŽ‘,‘îG1182Ž‘îGŸ™”‰feŽ‘îK,‘îG1184.Ž¡ÏxxŽ‘ þ8«:‘ -1198Ž‘ -Ÿ™”‰feŽ‘,‘²œ1199Ž‘²œŸ™”‰feŽ–² ,‘²œ1345Ž‘²œŸ™”‰feŽ“,‘²œ1346Ž‘²œŸ™”‰feŽ“,‘²œ1350Ž‘²œŸ™”‰feŽ“,‘²œ1351Ž‘²œŸ™”‰feŽ“,‘²œ1354Ž‘²œŸ™”‰feŽ“,‘²œ1355Ž‘²œŸ™”‰feŽ“.Ž¡ÏxyŽ‘ +1203Ž‘ +Ÿ™”‰feŽ‘,‘²œ1204Ž‘²œŸ™”‰feŽ–² ,‘²œ1350Ž‘²œŸ™”‰feŽ“,‘²œ1351Ž‘²œŸ™”‰feŽ“,‘²œ1355Ž‘²œŸ™”‰feŽ“,‘²œ1356Ž‘²œŸ™”‰feŽ“,‘²œ1359Ž‘²œŸ™”‰feŽ“,‘²œ1360Ž‘²œŸ™”‰feŽ“.Ž¡ÏxyŽ‘ ãç«:‘ 152Ž‘ -Ÿ™”‰feŽ‘,‘y153Ž‘yŸ™”‰feŽ–|,‘y200Ž‘yŸ™”‰feŽ“,‘y364Ž‘yŸ™”‰feŽ“,‘y365Ž‘yŸ™”‰feŽ“,‘y725Ž‘yŸ™”‰feŽ“,‘y726Ž‘yŸ™”‰feŽ“,‘y1009Ž‘yŸ™”‰feŽ–},‘y1010Ž‘yŸ™”‰feŽ“,Ž© ‘1195Ž‘Ÿ™”‰feŽ‘(,‘¢[1196Ž‘¢[Ÿ™”‰feŽ–¢_,‘¢[1347Ž‘¢[Ÿ™”‰feŽ“,‘¢[1348Ž‘¢[Ÿ™”‰feŽ“.Ž¡ÏxzŽ‘ +Ÿ™”‰feŽ‘,‘y153Ž‘yŸ™”‰feŽ–|,‘y200Ž‘yŸ™”‰feŽ“,‘y364Ž‘yŸ™”‰feŽ“,‘y365Ž‘yŸ™”‰feŽ“,‘y725Ž‘yŸ™”‰feŽ“,‘y726Ž‘yŸ™”‰feŽ“,‘y1012Ž‘yŸ™”‰feŽ–},‘y1013Ž‘yŸ™”‰feŽ“,Ž© ‘1200Ž‘Ÿ™”‰feŽ‘(,‘¢[1201Ž‘¢[Ÿ™”‰feŽ–¢_,‘¢[1352Ž‘¢[Ÿ™”‰feŽ“,‘¢[1353Ž‘¢[Ÿ™”‰feŽ“.Ž¡ÏxzŽ‘ wÒ«:‘ 152Ž‘ -Ÿ™”‰feŽ‘,‘”á153Ž‘”៙”‰feŽ–”ä,‘”á200Ž‘”៙”‰feŽ“,‘”á364Ž‘”៙”‰feŽ“,‘”á365Ž‘”៙”‰feŽ“,‘”á725Ž‘”៙”‰feŽ“,‘”á726Ž‘”៙”‰feŽ“,‘”á1009Ž‘”៙”‰feŽ–”å,‘”á1010Ž‘”៙”‰feŽ“,ަ‘1195Ž‘Ÿ™”‰feŽ‘(,‘¢[1196Ž‘¢[Ÿ™”‰feŽ–¢_,‘¢[1347Ž‘¢[Ÿ™”‰feŽ“,‘¢[1348Ž‘¢[Ÿ™”‰feŽ“.Ž¡Ïx0Ž‘ Ý«:‘ -925Ž‘ +Ÿ™”‰feŽ‘,‘”á153Ž‘”៙”‰feŽ–”ä,‘”á200Ž‘”៙”‰feŽ“,‘”á364Ž‘”៙”‰feŽ“,‘”á365Ž‘”៙”‰feŽ“,‘”á725Ž‘”៙”‰feŽ“,‘”á726Ž‘”៙”‰feŽ“,‘”á1012Ž‘”៙”‰feŽ–”å,‘”á1013Ž‘”៙”‰feŽ“,ަ‘1200Ž‘Ÿ™”‰feŽ‘(,‘¢[1201Ž‘¢[Ÿ™”‰feŽ–¢_,‘¢[1352Ž‘¢[Ÿ™”‰feŽ“,‘¢[1353Ž‘¢[Ÿ™”‰feŽ“.Ž¡Ïx0Ž‘ Ý«:‘ +928Ž‘ Ÿ™”‰feŽ‘.Ž¡Ïx1Ž‘ Ý«:‘ -925Ž‘ +928Ž‘ Ÿ™”‰feŽ‘.Ž¡±yŽ‘Bø«:‘ 150Ž‘ -Ÿ™”‰feŽ‘,‘:—151Ž‘:—Ÿ™”‰feŽ–:š,‘:—155Ž‘:—Ÿ™”‰feŽ“,‘:—156Ž‘:—Ÿ™”‰feŽ“,‘:—158Ž‘:—Ÿ™”‰feŽ“,‘:—159Ž‘:—Ÿ™”‰feŽ“,‘:—160Ž‘:—Ÿ™”‰feŽ“,‘:—161Ž‘:—Ÿ™”‰feŽ“,‘:—235Ž‘:—Ÿ™”‰feŽ“,‘:—236Ž‘:—Ÿ™”‰feŽ“,ަ‘238Ž‘Ÿ™”‰feŽ‘#,‘Ò239Ž‘ÒŸ™”‰feŽ–Õ,‘Ò241Ž‘ÒŸ™”‰feŽ“,‘Ò242Ž‘ÒŸ™”‰feŽ“,‘Ò282Ž‘ÒŸ™”‰feŽ“,‘Ò283Ž‘ÒŸ™”‰feŽ“,‘Ò284Ž‘ÒŸ™”‰feŽ“,‘Ò285Ž‘ÒŸ™”‰feŽ“,‘Ò295Ž‘ÒŸ™”‰feŽ“,‘Ò296Ž‘ÒŸ™”‰feŽ“,ަ‘360Ž‘Ÿ™”‰feŽ‘#,‘Ò361Ž‘ÒŸ™”‰feŽ–Õ,‘Ò362Ž‘ÒŸ™”‰feŽ“,‘Ò363Ž‘ÒŸ™”‰feŽ“,‘Ò368Ž‘ÒŸ™”‰feŽ“,‘Ò369Ž‘ÒŸ™”‰feŽ“,‘Ò375Ž‘ÒŸ™”‰feŽ“,‘Ò376Ž‘ÒŸ™”‰feŽ“,‘Ò644Ž‘ÒŸ™”‰feŽ“,‘Ò713Ž‘ÒŸ™”‰feŽ“,ަ‘714Ž‘Ÿ™”‰feŽ‘#,‘¾l723Ž‘¾lŸ™”‰feŽ–¾o,‘¾l724Ž‘¾lŸ™”‰feŽ“,‘¾l728Ž‘¾lŸ™”‰feŽ“,‘¾l729Ž‘¾lŸ™”‰feŽ“,‘¾l733Ž‘¾lŸ™”‰feŽ“,‘¾l734Ž‘¾lŸ™”‰feŽ“,‘¾l1000Ž‘¾lŸ™”‰feŽ–¾p,‘¾l1001Ž‘¾lŸ™”‰feŽ“,ަ‘1007Ž‘Ÿ™”‰feŽ‘(,‘<„1008Ž‘<„Ÿ™”‰feŽ–<ˆ,‘<„1012Ž‘<„Ÿ™”‰feŽ“,‘<„1013Ž‘<„Ÿ™”‰feŽ“,‘<„1017Ž‘<„Ÿ™”‰feŽ“,‘<„1018Ž‘<„Ÿ™”‰feŽ“,‘<„1178Ž‘<„Ÿ™”‰feŽ“,‘<„1191Ž‘<„Ÿ™”‰feŽ“,ަ‘1192Ž‘Ÿ™”‰feŽ‘(,‘£ÿ1193Ž‘£ÿŸ™”‰feŽ–¤,‘£ÿ1194Ž‘£ÿŸ™”‰feŽ“,‘£ÿ1203Ž‘£ÿŸ™”‰feŽ“,‘£ÿ1204Ž‘£ÿŸ™”‰feŽ“,‘£ÿ1414Ž‘£ÿŸ™”‰feŽ“,‘£ÿ1415Ž‘£ÿŸ™”‰feŽ“.Ž¡Ïy‘‰ffŽ‘®iŽ‘ !Ú«:‘ +Ÿ™”‰feŽ‘,‘:—151Ž‘:—Ÿ™”‰feŽ–:š,‘:—155Ž‘:—Ÿ™”‰feŽ“,‘:—156Ž‘:—Ÿ™”‰feŽ“,‘:—158Ž‘:—Ÿ™”‰feŽ“,‘:—159Ž‘:—Ÿ™”‰feŽ“,‘:—160Ž‘:—Ÿ™”‰feŽ“,‘:—161Ž‘:—Ÿ™”‰feŽ“,‘:—235Ž‘:—Ÿ™”‰feŽ“,‘:—236Ž‘:—Ÿ™”‰feŽ“,ަ‘238Ž‘Ÿ™”‰feŽ‘#,‘Ò239Ž‘ÒŸ™”‰feŽ–Õ,‘Ò241Ž‘ÒŸ™”‰feŽ“,‘Ò242Ž‘ÒŸ™”‰feŽ“,‘Ò282Ž‘ÒŸ™”‰feŽ“,‘Ò283Ž‘ÒŸ™”‰feŽ“,‘Ò284Ž‘ÒŸ™”‰feŽ“,‘Ò285Ž‘ÒŸ™”‰feŽ“,‘Ò295Ž‘ÒŸ™”‰feŽ“,‘Ò296Ž‘ÒŸ™”‰feŽ“,ަ‘360Ž‘Ÿ™”‰feŽ‘#,‘Ò361Ž‘ÒŸ™”‰feŽ–Õ,‘Ò362Ž‘ÒŸ™”‰feŽ“,‘Ò363Ž‘ÒŸ™”‰feŽ“,‘Ò368Ž‘ÒŸ™”‰feŽ“,‘Ò369Ž‘ÒŸ™”‰feŽ“,‘Ò375Ž‘ÒŸ™”‰feŽ“,‘Ò376Ž‘ÒŸ™”‰feŽ“,‘Ò644Ž‘ÒŸ™”‰feŽ“,‘Ò713Ž‘ÒŸ™”‰feŽ“,ަ‘714Ž‘Ÿ™”‰feŽ‘#,‘¾l723Ž‘¾lŸ™”‰feŽ–¾o,‘¾l724Ž‘¾lŸ™”‰feŽ“,‘¾l728Ž‘¾lŸ™”‰feŽ“,‘¾l729Ž‘¾lŸ™”‰feŽ“,‘¾l733Ž‘¾lŸ™”‰feŽ“,‘¾l734Ž‘¾lŸ™”‰feŽ“,‘¾l1003Ž‘¾lŸ™”‰feŽ–¾p,‘¾l1004Ž‘¾lŸ™”‰feŽ“,ަ‘1010Ž‘Ÿ™”‰feŽ‘(,‘<„1011Ž‘<„Ÿ™”‰feŽ–<ˆ,‘<„1015Ž‘<„Ÿ™”‰feŽ“,‘<„1016Ž‘<„Ÿ™”‰feŽ“,‘<„1020Ž‘<„Ÿ™”‰feŽ“,‘<„1021Ž‘<„Ÿ™”‰feŽ“,‘<„1183Ž‘<„Ÿ™”‰feŽ“,‘<„1196Ž‘<„Ÿ™”‰feŽ“,ަ‘1197Ž‘Ÿ™”‰feŽ‘(,‘£ÿ1198Ž‘£ÿŸ™”‰feŽ–¤,‘£ÿ1199Ž‘£ÿŸ™”‰feŽ“,‘£ÿ1208Ž‘£ÿŸ™”‰feŽ“,‘£ÿ1209Ž‘£ÿŸ™”‰feŽ“,‘£ÿ1419Ž‘£ÿŸ™”‰feŽ“,‘£ÿ1420Ž‘£ÿŸ™”‰feŽ“.Ž¡Ïy‘‰ffŽ‘®iŽ‘ !Ú«:‘ 535Ž‘ Ÿ™”‰feŽ‘,–‡û536,“537,“539,“541.Ž¡Ïy‘‰ffŽ–®int‘‰ffŽ“pŽ‘zÞ«:‘ 535Ž‘ @@ -8346,198 +8460,196 @@ Ÿ™”‰feŽ‘,–ás536,“537.Ž¡Ïy‘‰ffŽ–®int‘‰ffŽ“q‘‰ffŽ“zŽ‘&Uë«:‘ 536Ž‘ Ÿ™”‰feŽ‘.Ž¡Ïy‘‰ffŽ‘®shiftŽ‘¦“«:‘ -1469Ž‘ -Ÿ™”‰feŽ‘.Ž¡Ïyel‘‚ØlowŽ‘k±«:‘ -108,‘Žw112Ž‘ŽwŸ™”‰feŽ–Žz,‘Žw113Ž‘ŽwŸ™”‰feŽ“,‘Žw1500.Ž¡Ïyel‘‚Ølow‘‰ffŽ‘®gr–ÿ}'e“enŽ‘6hj«:‘ -108,‘;112Ž‘;Ÿ™”‰feŽ–;,‘;113Ž‘;Ÿ™”‰feŽ“,‘;1500.Ž¡ÏyxŽ‘ 5®«:‘ +1474Ž‘ +Ÿ™”‰feŽ‘.ŽŽ ý•@P’ôà¤Ïyel‘‚ØlowŽ’LU«:‘ +108,‘Žw112Ž‘ŽwŸ™”‰feŽ–Žz,‘Žw113Ž‘ŽwŸ™”‰feŽ“,‘Žw1505.ޤ ’ôà¤Ïyel‘‚Ølow‘‰ffŽ‘®gr–ÿ}'e“enŽ’+I«:‘ +108,‘;112Ž‘;Ÿ™”‰feŽ–;,‘;113Ž‘;Ÿ™”‰feŽ“,‘;1505.Ž¡’ôà¤ÏyxŽ’R«:‘ 152Ž‘ -Ÿ™”‰feŽ‘,‘‹b153Ž‘‹bŸ™”‰feŽ–‹e,‘‹b200Ž‘‹bŸ™”‰feŽ“,‘‹b364Ž‘‹bŸ™”‰feŽ“,‘‹b365Ž‘‹bŸ™”‰feŽ“,‘‹b725Ž‘‹bŸ™”‰feŽ“,‘‹b726Ž‘‹bŸ™”‰feŽ“,‘‹b1009Ž‘‹bŸ™”‰feŽ–‹f,‘‹b1010Ž‘‹bŸ™”‰feŽ“,ަ‘1195Ž‘Ÿ™”‰feŽ‘(,‘¢[1196Ž‘¢[Ÿ™”‰feŽ–¢_,‘¢[1347Ž‘¢[Ÿ™”‰feŽ“,‘¢[1348Ž‘¢[Ÿ™”‰feŽ“.Ž¡ÏyyŽ‘ ]«:‘ -1198Ž‘ -Ÿ™”‰feŽ‘,‘®r1199Ž‘®rŸ™”‰feŽ–®v,‘®r1345Ž‘®rŸ™”‰feŽ“,‘®r1346Ž‘®rŸ™”‰feŽ“,‘®r1350Ž‘®rŸ™”‰feŽ“,‘®r1351Ž‘®rŸ™”‰feŽ“,‘®r1354Ž‘®rŸ™”‰feŽ“,‘®r1355Ž‘®rŸ™”‰feŽ“.Ž¡ÏyzŽ‘ -¯H«:‘ +Ÿ™”‰feŽ‘,‘‹b153Ž‘‹bŸ™”‰feŽ–‹e,‘‹b200Ž‘‹bŸ™”‰feŽ“,‘‹b364Ž‘‹bŸ™”‰feŽ“,‘‹b365Ž‘‹bŸ™”‰feŽ“,‘‹b725Ž‘‹bŸ™”‰feŽ“,‘‹b726Ž‘‹bŸ™”‰feŽ“,‘‹b1012Ž‘‹bŸ™”‰feŽ–‹f,‘‹b1013Ž‘‹bŸ™”‰feŽ“,Ž¡’à¦1200Ž’ট™”‰feŽ’àª,‘¢[1201Ž‘¢[Ÿ™”‰feŽ–¢_,‘¢[1352Ž‘¢[Ÿ™”‰feŽ“,‘¢[1353Ž‘¢[Ÿ™”‰feŽ“.Ž¡’ôà¤ÏyyŽ’ÿü«:‘ +1203Ž‘ +Ÿ™”‰feŽ‘,‘®r1204Ž‘®rŸ™”‰feŽ–®v,‘®r1350Ž‘®rŸ™”‰feŽ“,‘®r1351Ž‘®rŸ™”‰feŽ“,‘®r1355Ž‘®rŸ™”‰feŽ“,‘®r1356Ž‘®rŸ™”‰feŽ“,‘®r1359Ž‘®rŸ™”‰feŽ“,‘®r1360Ž‘®rŸ™”‰feŽ“.Ž¡’ôà¤ÏyzŽ’ÿì«:‘ 152Ž‘ -Ÿ™”‰feŽ‘,‘’153Ž‘’Ÿ™”‰feŽ–’,‘’200Ž‘’Ÿ™”‰feŽ“,‘’364Ž‘’Ÿ™”‰feŽ“,‘’365Ž‘’Ÿ™”‰feŽ“,‘’725Ž‘’Ÿ™”‰feŽ“,‘’726Ž‘’Ÿ™”‰feŽ“,‘’1009Ž‘’Ÿ™”‰feŽ–’,‘’1010Ž‘’Ÿ™”‰feŽ“,ަ‘1195Ž‘Ÿ™”‰feŽ‘(,‘¢[1196Ž‘¢[Ÿ™”‰feŽ–¢_,‘¢[1347Ž‘¢[Ÿ™”‰feŽ“,‘¢[1348Ž‘¢[Ÿ™”‰feŽ“.Ž¡Ïy0Ž‘ ÕS«:‘ -925Ž‘ -Ÿ™”‰feŽ‘.Ž¡Ïy1Ž‘ ÕS«:‘ -925Ž‘ -Ÿ™”‰feŽ‘.Ž¡±zŽ‘«:‘ +Ÿ™”‰feŽ‘,‘’153Ž‘’Ÿ™”‰feŽ–’,‘’200Ž‘’Ÿ™”‰feŽ“,‘’364Ž‘’Ÿ™”‰feŽ“,‘’365Ž‘’Ÿ™”‰feŽ“,‘’725Ž‘’Ÿ™”‰feŽ“,‘’726Ž‘’Ÿ™”‰feŽ“,‘’1012Ž‘’Ÿ™”‰feŽ–’,‘’1013Ž‘’Ÿ™”‰feŽ“,Ž¡’à¦1200Ž’ট™”‰feŽ’àª,‘¢[1201Ž‘¢[Ÿ™”‰feŽ–¢_,‘¢[1352Ž‘¢[Ÿ™”‰feŽ“,‘¢[1353Ž‘¢[Ÿ™”‰feŽ“.Ž¡’ôà¤Ïy0Ž’µ÷«:‘ +928Ž‘ +Ÿ™”‰feŽ‘.Ž¡’ôà¤Ïy1Ž’µ÷«:‘ +928Ž‘ +Ÿ™”‰feŽ‘.Ž¡’ôऱzŽ’ù÷«:‘ 150Ž‘ -Ÿ™”‰feŽ‘,‘?v151Ž‘?vŸ™”‰feŽ–?y,‘?v155Ž‘?vŸ™”‰feŽ“,‘?v156Ž‘?vŸ™”‰feŽ“,‘?v158Ž‘?vŸ™”‰feŽ“,‘?v159Ž‘?vŸ™”‰feŽ“,‘?v160Ž‘?vŸ™”‰feŽ“,‘?v161Ž‘?vŸ™”‰feŽ“,‘?v235Ž‘?vŸ™”‰feŽ“,‘?v236Ž‘?vŸ™”‰feŽ“,ަ‘238Ž‘Ÿ™”‰feŽ‘#,‘Ò239Ž‘ÒŸ™”‰feŽ–Õ,‘Ò241Ž‘ÒŸ™”‰feŽ“,‘Ò242Ž‘ÒŸ™”‰feŽ“,‘Ò282Ž‘ÒŸ™”‰feŽ“,‘Ò283Ž‘ÒŸ™”‰feŽ“,‘Ò284Ž‘ÒŸ™”‰feŽ“,‘Ò285Ž‘ÒŸ™”‰feŽ“,‘Ò295Ž‘ÒŸ™”‰feŽ“,‘Ò296Ž‘ÒŸ™”‰feŽ“,ަ‘360Ž‘Ÿ™”‰feŽ‘#,‘Ò361Ž‘ÒŸ™”‰feŽ–Õ,‘Ò362Ž‘ÒŸ™”‰feŽ“,‘Ò363Ž‘ÒŸ™”‰feŽ“,‘Ò368Ž‘ÒŸ™”‰feŽ“,‘Ò369Ž‘ÒŸ™”‰feŽ“,‘Ò375Ž‘ÒŸ™”‰feŽ“,‘Ò376Ž‘ÒŸ™”‰feŽ“,‘Ò644Ž‘ÒŸ™”‰feŽ“,‘Ò713Ž‘ÒŸ™”‰feŽ“,ަ‘714Ž‘Ÿ™”‰feŽ‘#,‘¾l723Ž‘¾lŸ™”‰feŽ–¾o,‘¾l724Ž‘¾lŸ™”‰feŽ“,‘¾l728Ž‘¾lŸ™”‰feŽ“,‘¾l729Ž‘¾lŸ™”‰feŽ“,‘¾l733Ž‘¾lŸ™”‰feŽ“,‘¾l734Ž‘¾lŸ™”‰feŽ“,‘¾l1000Ž‘¾lŸ™”‰feŽ–¾p,‘¾l1001Ž‘¾lŸ™”‰feŽ“,ަ‘1007Ž‘Ÿ™”‰feŽ‘(,‘<„1008Ž‘<„Ÿ™”‰feŽ–<ˆ,‘<„1012Ž‘<„Ÿ™”‰feŽ“,‘<„1013Ž‘<„Ÿ™”‰feŽ“,‘<„1017Ž‘<„Ÿ™”‰feŽ“,‘<„1018Ž‘<„Ÿ™”‰feŽ“,‘<„1122Ž‘<„Ÿ™”‰feŽ“,‘<„1191Ž‘<„Ÿ™”‰feŽ“,ަ‘1192Ž‘Ÿ™”‰feŽ‘(,‘£ÿ1193Ž‘£ÿŸ™”‰feŽ–¤,‘£ÿ1194Ž‘£ÿŸ™”‰feŽ“,‘£ÿ1203Ž‘£ÿŸ™”‰feŽ“,‘£ÿ1204Ž‘£ÿŸ™”‰feŽ“,‘£ÿ1414Ž‘£ÿŸ™”‰feŽ“,‘£ÿ1415Ž‘£ÿŸ™”‰feŽ“.Ž¡Ïz‘‰ffŽ‘®axisŽ‘›«:‘ -946Ž‘ -Ÿ™”‰feŽ‘.Ž¡Ïz‘‰ffŽ–®axis‘‰ffŽ“ptŽ‘&?P«:‘ -954Ž‘ -Ÿ™”‰feŽ‘.Ž¡Ïz‘‰ffŽ‘®iŽ‘ ]—«:‘ +Ÿ™”‰feŽ‘,‘?v151Ž‘?vŸ™”‰feŽ–?y,‘?v155Ž‘?vŸ™”‰feŽ“,‘?v156Ž‘?vŸ™”‰feŽ“,‘?v158Ž‘?vŸ™”‰feŽ“,‘?v159Ž‘?vŸ™”‰feŽ“,‘?v160Ž‘?vŸ™”‰feŽ“,‘?v161Ž‘?vŸ™”‰feŽ“,‘?v235Ž‘?vŸ™”‰feŽ“,‘?v236Ž‘?vŸ™”‰feŽ“,Ž¡’à¦238Ž’ট™”‰feŽ’à©,‘Ò239Ž‘ÒŸ™”‰feŽ–Õ,‘Ò241Ž‘ÒŸ™”‰feŽ“,‘Ò242Ž‘ÒŸ™”‰feŽ“,‘Ò282Ž‘ÒŸ™”‰feŽ“,‘Ò283Ž‘ÒŸ™”‰feŽ“,‘Ò284Ž‘ÒŸ™”‰feŽ“,‘Ò285Ž‘ÒŸ™”‰feŽ“,‘Ò295Ž‘ÒŸ™”‰feŽ“,‘Ò296Ž‘ÒŸ™”‰feŽ“,Ž¡’à¦360Ž’ট™”‰feŽ’à©,‘Ò361Ž‘ÒŸ™”‰feŽ–Õ,‘Ò362Ž‘ÒŸ™”‰feŽ“,‘Ò363Ž‘ÒŸ™”‰feŽ“,‘Ò368Ž‘ÒŸ™”‰feŽ“,‘Ò369Ž‘ÒŸ™”‰feŽ“,‘Ò375Ž‘ÒŸ™”‰feŽ“,‘Ò376Ž‘ÒŸ™”‰feŽ“,‘Ò644Ž‘ÒŸ™”‰feŽ“,‘Ò713Ž‘ÒŸ™”‰feŽ“,Ž¡’à¦714Ž’ট™”‰feŽ’à©,‘¾l723Ž‘¾lŸ™”‰feŽ–¾o,‘¾l724Ž‘¾lŸ™”‰feŽ“,‘¾l728Ž‘¾lŸ™”‰feŽ“,‘¾l729Ž‘¾lŸ™”‰feŽ“,‘¾l733Ž‘¾lŸ™”‰feŽ“,‘¾l734Ž‘¾lŸ™”‰feŽ“,‘¾l1003Ž‘¾lŸ™”‰feŽ–¾p,‘¾l1004Ž‘¾lŸ™”‰feŽ“,Ž¡’à¦1010Ž’ট™”‰feŽ’àª,‘<„1011Ž‘<„Ÿ™”‰feŽ–<ˆ,‘<„1015Ž‘<„Ÿ™”‰feŽ“,‘<„1016Ž‘<„Ÿ™”‰feŽ“,‘<„1020Ž‘<„Ÿ™”‰feŽ“,‘<„1021Ž‘<„Ÿ™”‰feŽ“,‘<„1127Ž‘<„Ÿ™”‰feŽ“,‘<„1196Ž‘<„Ÿ™”‰feŽ“,Ž¡’à¦1197Ž’ট™”‰feŽ’àª,‘£ÿ1198Ž‘£ÿŸ™”‰feŽ–¤,‘£ÿ1199Ž‘£ÿŸ™”‰feŽ“,‘£ÿ1208Ž‘£ÿŸ™”‰feŽ“,‘£ÿ1209Ž‘£ÿŸ™”‰feŽ“,‘£ÿ1419Ž‘£ÿŸ™”‰feŽ“,‘£ÿ1420Ž‘£ÿŸ™”‰feŽ“.Ž¡’ôà¤Ïz‘‰ffŽ‘®axisŽ’â?«:‘ +949Ž‘ +Ÿ™”‰feŽ‘.Ž¡’ôà¤Ïz‘‰ffŽ–®axis‘‰ffŽ“ptŽ’ô«:‘ +957Ž‘ +Ÿ™”‰feŽ‘.Ž¡’ôà¤Ïz‘‰ffŽ‘®iŽ’>;«:‘ 535Ž‘ -Ÿ™”‰feŽ‘,–Ši536,“538,“540,“541.Ž¡Ïz‘‰ffŽ–®int‘‰ffŽ“pŽ‘¶›«:‘ +Ÿ™”‰feŽ‘,–Ši536,“538,“540,“541.Ž¡’ôà¤Ïz‘‰ffŽ–®int‘‰ffŽ“pŽ’—?«:‘ 538Ž‘ -Ÿ™”‰feŽ‘,–ã539,“540.Ž¡Ïz‘‰ffŽ–®int‘‰ffŽ“qŽ‘t§«:‘ +Ÿ™”‰feŽ‘,–ã539,“540.Ž¡’ôà¤Ïz‘‰ffŽ–®int‘‰ffŽ“qŽ’UK«:‘ 538Ž‘ -Ÿ™”‰feŽ‘,–ãñ539,“540.Ž¡ÝZ_YŽ‘F_«:‘ -946Ž‘ -Ÿ™”‰feŽ‘,‘îG1177Ž‘îGŸ™”‰feŽ‘îK,‘îG1179.ŽŽ ý•@P’ôà¤ÏzxŽ’ÿR«:‘ +Ÿ™”‰feŽ‘,–ãñ539,“540.Ž¡’ôà¤ÝZ_YŽ’'«:‘ +949Ž‘ +Ÿ™”‰feŽ‘,‘îG1182Ž‘îGŸ™”‰feŽ‘îK,‘îG1184.Ž¡’ôà¤ÏzxŽ’ÿR«:‘ 152Ž‘ -Ÿ™”‰feŽ‘,‘•2153Ž‘•2Ÿ™”‰feŽ–•5,‘•2200Ž‘•2Ÿ™”‰feŽ“,‘•2364Ž‘•2Ÿ™”‰feŽ“,‘•2365Ž‘•2Ÿ™”‰feŽ“,‘•2725Ž‘•2Ÿ™”‰feŽ“,‘•2726Ž‘•2Ÿ™”‰feŽ“,‘•21009Ž‘•2Ÿ™”‰feŽ–•6,‘•21010Ž‘•2Ÿ™”‰feŽ“,ޤ ’à¦1195Ž’ট™”‰feŽ’àª,‘¢[1196Ž‘¢[Ÿ™”‰feŽ–¢_,‘¢[1347Ž‘¢[Ÿ™”‰feŽ“,‘¢[1348Ž‘¢[Ÿ™”‰feŽ“.Ž¡’ôà¤ÏzyŽ’ÿ7¾«:‘ +Ÿ™”‰feŽ‘,‘•2153Ž‘•2Ÿ™”‰feŽ–•5,‘•2200Ž‘•2Ÿ™”‰feŽ“,‘•2364Ž‘•2Ÿ™”‰feŽ“,‘•2365Ž‘•2Ÿ™”‰feŽ“,‘•2725Ž‘•2Ÿ™”‰feŽ“,‘•2726Ž‘•2Ÿ™”‰feŽ“,‘•21012Ž‘•2Ÿ™”‰feŽ–•6,‘•21013Ž‘•2Ÿ™”‰feŽ“,Ž¡’à¦1200Ž’ট™”‰feŽ’àª,‘¢[1201Ž‘¢[Ÿ™”‰feŽ–¢_,‘¢[1352Ž‘¢[Ÿ™”‰feŽ“,‘¢[1353Ž‘¢[Ÿ™”‰feŽ“.Ž¡’ôà¤ÏzyŽ’ÿ7¾«:‘ 152Ž‘ -Ÿ™”‰feŽ‘,‘–ƒ153Ž‘–ƒŸ™”‰feŽ––†,‘–ƒ200Ž‘–ƒŸ™”‰feŽ“,‘–ƒ364Ž‘–ƒŸ™”‰feŽ“,‘–ƒ365Ž‘–ƒŸ™”‰feŽ“,‘–ƒ725Ž‘–ƒŸ™”‰feŽ“,‘–ƒ726Ž‘–ƒŸ™”‰feŽ“,‘–ƒ1009Ž‘–ƒŸ™”‰feŽ––‡,‘–ƒ1010Ž‘–ƒŸ™”‰feŽ“,Ž¡’à¦1195Ž’ট™”‰feŽ’àª,‘¢[1196Ž‘¢[Ÿ™”‰feŽ–¢_,‘¢[1347Ž‘¢[Ÿ™”‰feŽ“,‘¢[1348Ž‘¢[Ÿ™”‰feŽ“.Ž¡’ôà¤ÏzzŽ’þË©«:‘ -1198Ž‘ -Ÿ™”‰feŽ‘,‘Ùí1199Ž‘Ùퟙ”‰feŽ–Ùñ,‘Ùí1345Ž‘Ùퟙ”‰feŽ“,‘Ùí1346Ž‘Ùퟙ”‰feŽ“,‘Ùí1350Ž‘Ùퟙ”‰feŽ“,‘Ùí1351Ž‘Ùퟙ”‰feŽ“,‘Ùí1354Ž‘Ùퟙ”‰feŽ“,‘Ùí1355Ž‘Ùퟙ”‰feŽ“.Ž¡’ôà¤Ïz0Ž’ÿñ´«:‘ -925Ž‘ +Ÿ™”‰feŽ‘,‘–ƒ153Ž‘–ƒŸ™”‰feŽ––†,‘–ƒ200Ž‘–ƒŸ™”‰feŽ“,‘–ƒ364Ž‘–ƒŸ™”‰feŽ“,‘–ƒ365Ž‘–ƒŸ™”‰feŽ“,‘–ƒ725Ž‘–ƒŸ™”‰feŽ“,‘–ƒ726Ž‘–ƒŸ™”‰feŽ“,‘–ƒ1012Ž‘–ƒŸ™”‰feŽ––‡,‘–ƒ1013Ž‘–ƒŸ™”‰feŽ“,Ž¡’à¦1200Ž’ট™”‰feŽ’àª,‘¢[1201Ž‘¢[Ÿ™”‰feŽ–¢_,‘¢[1352Ž‘¢[Ÿ™”‰feŽ“,‘¢[1353Ž‘¢[Ÿ™”‰feŽ“.Ž¡’ôà¤ÏzzŽ’þË©«:‘ +1203Ž‘ +Ÿ™”‰feŽ‘,‘Ùí1204Ž‘Ùퟙ”‰feŽ–Ùñ,‘Ùí1350Ž‘Ùퟙ”‰feŽ“,‘Ùí1351Ž‘Ùퟙ”‰feŽ“,‘Ùí1355Ž‘Ùퟙ”‰feŽ“,‘Ùí1356Ž‘Ùퟙ”‰feŽ“,‘Ùí1359Ž‘Ùퟙ”‰feŽ“,‘Ùí1360Ž‘Ùퟙ”‰feŽ“.Ž¡’ôà¤Ïz0Ž’ÿñ´«:‘ +928Ž‘ Ÿ™”‰feŽ‘.Ž¡’ôà¤Ïz1Ž’ÿñ´«:‘ -925Ž‘ -Ÿ™”‰feŽ‘.ŽŽŽŽŽŒ‹ùEù Šn ý‘ì­3DLDFPRÃŽG’´*NAMES–ÕXOF“THE“SECTIONS‘«505Ž €n ý•@P·h›ª¨«Actions–UUin“main‘@­1500,–ÕX1501˜·i‘ -­Used“in“section“1511.ޤ 5þ·h–ª¨«All‘UUÂColorsŽ‘(n3­0“·i‘ -­Cited–ÕXin“sections“109“and“114.Ž¡·h‘ª¨«Chec•¸ãk›UUin“tersection˜pGoin“t˜loGcations‘@­1184‘ª¨·i‘ -­Used–ÕXin“section“1183.Ž¡·h›ª¨«DEC–UUcommand“line“option“proGcessing‘@­1505˜·i‘ -­Used–ÕXin“section“1502.Ž¡·h›ª¨«Declarations–Ü¡for“the“header“ le‘@­18,–e20,“23,“27,“190,“192,“258,“275,“587,“611,“648˜·i‘ +928Ž‘ +Ÿ™”‰feŽ‘.ŽŽŽŽŽŒ‹þRM Šn ý‘ì«510‘­NAMES–ÕXOF“THE“SECTIONS’´*3DLDFPRÃŽGŽ €n ý•@P·h›ª¨«Actions–UUin“main‘@­1505,–ÕX1506˜·i‘ +­Used“in“section“1519.ޤ 5þ·h–ª¨«All‘UUÂColorsŽ‘(n3­0“·i‘ +­Cited–ÕXin“sections“109“and“114.Ž¡·h‘ª¨«Chec•¸ãk›UUin“tersection˜pGoin“t˜loGcations‘@­1189‘ª¨·i‘ +­Used–ÕXin“section“1188.Ž¡·h›ª¨«DEC–UUcommand“line“option“proGcessing‘@­1510˜·i‘ +­Used–ÕXin“section“1507.Ž¡·h›ª¨«Declarations–Ü¡for“the“header“ le‘@­18,–e20,“23,“27,“190,“192,“258,“275,“587,“611,“648˜·i‘ ­Cited–HYin“section“21.‘­Used“inŽ© ‘sections–ÕX36,“195,“261,“590,“614,“and“651.Ž¡·h›ª¨«Declare–UUI/O“functions‘@­42,–ÕX45,“47,“49˜·i‘ -­Used“in“section“53.Ž¡·h›ª¨«Declare–UUP¸ãattern“functions‘@­1278,–ÕX1281,“1284˜·i‘ -­Used“in“sections“1287“and“1288.Ž¡·h›ª¨«Declare–UUnamespace“ÂPro‘£ŽjectionsŽ‘Aa¹­211˜·i‘ +­Used“in“section“53.Ž¡·h›ª¨«Declare–UUP¸ãattern“functions‘@­1283,–ÕX1286,“1289˜·i‘ +­Used“in“sections“1292“and“1293.Ž¡·h›ª¨«Declare–UUnamespace“ÂPro‘£ŽjectionsŽ‘Aa¹­211˜·i‘ ­Used–ÕXin“section“260.Ž¡·h›ª¨«Declare–UUnamespace“ÂSortingŽ‘,ÿŸ­213˜·i‘ ­Used–ÕXin“section“260.Ž¡·h›ª¨«Declare–UUnon-mem¸ãbGer“functions“for“ÂColorŽ‘#ä÷­103˜·i‘ -­Used–ÕXin“section“119.Ž¡·h›ª¨«Declare–UUnon-mem¸ãbGer“functions“for“ÂP•®9oin“tsŽ‘'¸Ý­436,–ÕX490,“511˜·i‘ -­Used“in“section“590.Ž¡·h›ª¨«Declare–UUparser“functions‘@­1492˜·i‘ -­Used–ÕXin“section“1496.Ž¡·h›ª¨«Declare–UUutilit¸ãy“functions‘@­21,–ÕX29,“31˜·i‘ -­Cited“in“section“21.‘qÈUsed“in“section“36.Ž¡·h›ª¨«Declare‘FÂCircleŽ‘&•¸«functions‘@­1234,–¥‰1237,“1239,“1242,“1244,“1248,“1250,“1253,“1255,“1256,“1258,“1260,“1262˜·i‘ -­Used‘{æinަ‘section‘ÕX1232.Ž¡·h‘ª¨«Declare‘«rÂColorŽ‘#¦‚«functions‘@­58,–0×60,“63,“65,“68,“70,“72,“73,“75,“77,“80,“82,“84,“86,“88,“90,“92,“95,“97,“98,“99,“100,“102,“105,ަ‘107‘ª¨·i‘ -­Used–ÕXin“section“56.Ž¡·h›ª¨«Declare‘UUÂCubQÇoidŽ‘+úD«functions‘@­1410,–ÕX1412,“1414,“1416,“1418,“1420˜·i‘ -­Used“in“section“1408.Ž¡·h›ª¨«Declare‘UUÂDoQÇdecahedronŽ‘Oj8«functions‘@­1451,–ÕX1454,“1457,“1459˜·i‘ -­Used“in“section“1448.Ž¡·h‘ª¨«Declare‘Ü•ÂEllipseŽ‘)¢«functions‘@­1101,–e 1104,“1106,“1109,“1111,“1114,“1117,“1119,“1121,“1123,“1124,“1126,“1128,“1131,“1134,ަ‘1136,–‹1139,“1141,“1143,“1145,“1149,“1151,“1154,“1156,“1158,“1160,“1162,“1165,“1167,“1170,“1187,“1189,“1191,“1193,“1195,ަ‘1198,–ÕX1200,“1203,“1205,“1208,“1210,“1213,“1215,“1217,“1219‘ª¨·i‘ -­Used“in“section“1098.Ž¡·h›ª¨«Declare‘ZÂF‘ÿ +­Used–ÕXin“section“119.Ž¡·h›ª¨«Declare–UUnon-mem¸ãbGer“functions“for“ÂP•®9oin“tsŽ‘'¸Ý­436,–ÕX490˜·i‘ +­Used“in“section“590.Ž¡·h›ª¨«Declare–UUparser“functions‘@­1497˜·i‘ +­Used–ÕXin“section“1501.Ž¡·h›ª¨«Declare–UUutilit¸ãy“functions‘@­21,–ÕX29,“31˜·i‘ +­Cited“in“section“21.‘qÈUsed“in“section“36.Ž¡·h›ª¨«Declare‘FÂCircleŽ‘&•¸«functions‘@­1239,–¥‰1242,“1244,“1247,“1249,“1253,“1255,“1258,“1260,“1261,“1263,“1265,“1267˜·i‘ +­Used‘{æinަ‘section‘ÕX1237.Ž¡·h‘ª¨«Declare‘«rÂColorŽ‘#¦‚«functions‘@­58,–0×60,“63,“65,“68,“70,“72,“73,“75,“77,“80,“82,“84,“86,“88,“90,“92,“95,“97,“98,“99,“100,“102,“105,ަ‘107‘ª¨·i‘ +­Used–ÕXin“section“56.Ž¡·h›ª¨«Declare‘UUÂCubQÇoidŽ‘+úD«functions‘@­1415,–ÕX1417,“1419,“1421,“1423,“1425˜·i‘ +­Used“in“section“1413.Ž¡·h›ª¨«Declare‘UUÂDoQÇdecahedronŽ‘Oj8«functions‘@­1456,–ÕX1459,“1462,“1464˜·i‘ +­Used“in“section“1453.Ž¡·h‘ª¨«Declare‘Ü•ÂEllipseŽ‘)¢«functions‘@­1106,–e 1109,“1111,“1114,“1116,“1119,“1122,“1124,“1126,“1128,“1129,“1131,“1133,“1136,“1139,ަ‘1141,–‹1144,“1146,“1148,“1150,“1154,“1156,“1159,“1161,“1163,“1165,“1167,“1170,“1172,“1175,“1192,“1194,“1196,“1198,“1200,ަ‘1203,–ÕX1205,“1208,“1210,“1213,“1215,“1218,“1220,“1222,“1224‘ª¨·i‘ +­Used“in“section“1103.Ž¡·h›ª¨«Declare‘ZÂF‘ÿ «oQÇcusŽ‘%.«functions‘@­558,–¨Î560,“562,“565,“567,“569,“571,“573,“576,“577,“578,“579,“580,“581,“583,“584˜·i‘ -­Used‘~ƒinަ‘section‘ÕX556.Ž¡·h›ª¨«Declare‘UUÂIcosahedronŽ‘Cƒy«functions‘@­1465,–ÕX1468,“1470,“1472˜·i‘ -­Used“in“section“1462.Ž¡·h–ª¨«Declare‘UUÂLabQÇelŽ‘"ì «functions‘@­210“·i‘ +­Used‘~ƒinަ‘section‘ÕX556.Ž¡·h›ª¨«Declare‘UUÂIcosahedronŽ‘Cƒy«functions‘@­1470,–ÕX1473,“1475,“1477˜·i‘ +­Used“in“section“1467.Ž¡·h–ª¨«Declare‘UUÂLabQÇelŽ‘"ì «functions‘@­210“·i‘ ­Used–ÕXin“section“208.Ž¡·h–ª¨«Declare‘UUÂLineŽ‘-«constructors‘@­595,›ÕX597“·i‘ ­Used˜in˜section˜593.Ž¡·h›ª¨«Declare‘UUÂLineŽ‘-«functions‘@­599,–ÕX602,“604,“608˜·i‘ -­Used“in“section“593.Ž¡·h‘ª¨«Declare‘VÆÂP®9athŽ‘>ð«functions‘@­656,–Öà660,“663,“665,“668,“670,“673,“675,“677,“680,“682,“684,“686,“688,“690,“692,“695,“697,“700,“702,ަ‘704,–ð706,“708,“713,“719,“721,“723,“725,“728,“730,“733,“735,“738,“740,“742,“747,“749,“751,“754,“756,“758,“762,“767,“769,“775,ަ‘777,–ð784,“786,“793,“795,“801,“803,“806,“808,“812,“814,“820,“823,“825,“829,“831,“834,“836,“839,“841,“845,“846,“848,“850,“852,ަ‘854,–Å&856,“866,“868,“871,“872,“874,“876,“877,“878,“879,“881,“887,“889,“891,“893,“899,“905,“908,“912,“914,“917,“929‘ª¨·i‘ -­Used‘Áinަ‘section‘ÕX654.Ž¡·h‘ª¨«Declare‘yÂPictureŽ‘,-«functions‘@­218,–û×220,“222,“224,“225,“227,“229,“230,“231,“235,“238,“240,“241,“243,“244,“246,“248,“250,“253,ަ‘254,–ÕX255,“256‘ª¨·i‘ +­Used“in“section“593.Ž¡·h‘ª¨«Declare‘VÆÂP®9athŽ‘>ð«functions‘@­656,–Öà660,“663,“665,“668,“670,“673,“675,“677,“680,“682,“684,“686,“688,“690,“692,“695,“697,“700,“702,ަ‘704,–ð706,“708,“713,“719,“721,“723,“725,“728,“730,“733,“735,“738,“740,“742,“747,“749,“751,“754,“756,“758,“762,“767,“769,“775,ަ‘777,–ð784,“786,“793,“795,“801,“803,“806,“808,“812,“814,“820,“823,“825,“829,“831,“834,“836,“839,“841,“845,“846,“848,“850,“852,ަ‘854,–Vw856,“866,“868,“871,“872,“874,“876,“877,“878,“879,“881,“888,“890,“892,“894,“896,“902,“908,“911,“915,“917,“920,“932‘ª¨·iަ‘­Used–ÕXin“section“654.Ž¡·h‘ª¨«Declare‘yÂPictureŽ‘,-«functions‘@­218,–û×220,“222,“224,“225,“227,“229,“230,“231,“235,“238,“240,“241,“243,“244,“246,“248,“250,“253,ަ‘254,–ÕX255,“256‘ª¨·i‘ ­Used“in“section“216.Ž¡·h›ª¨«Declare‘UUÂPlaneŽ‘#Œ «functions‘@­619,–ÕX621,“623,“625,“628,“630,“633,“635,“640,“642,“643,“645˜·i‘ ­Used“in“section“617.Ž¡·h›ª¨«Declare‘UUÂP•®9oin“tŽ‘"Dò«constructors‘@­279,–ÕX282,“286˜·i‘ -­Used“in“section“264.Ž¡·h‘ª¨«Declare‘$ÛÂP•®9oin“tŽ‘!ãþ«functions‘@­284,–´b288,“291,“293,“295,“297,“299,“301,“302,“304,“307,“308,“309,“312,“314,“317,“319,“322,“324,“327,ަ‘329,–ð332,“334,“337,“339,“341,“342,“344,“345,“349,“352,“354,“356,“357,“360,“362,“364,“368,“370,“375,“377,“392,“394,“398,“402,ަ‘404,–ð406,“410,“412,“414,“416,“419,“420,“422,“423,“425,“426,“428,“429,“431,“433,“438,“440,“442,“444,“445,“447,“449,“451,“457,ަ‘461,–ð463,“466,“468,“474,“477,“479,“481,“483,“485,“488,“492,“494,“496,“498,“500,“502,“504,“507,“509,“513,“516,“523,“525,“528,ަ‘529‘ª¨·i‘ -­Used–ÕXin“section“264.Ž¡·h›ª¨«Declare‘sýÂP®9olygonŽ‘/ìè«functions‘@­975,–õë977,“981,“990,“992,“998,“1000,“1003,“1005,“1007,“1009,“1012,“1014,“1017,“1019˜·i‘ -­Usedަ‘in–ÕXsection“972.Ž¡·h–ª¨«Declare‘UUÂP®9olyhedronŽ‘@¸w«functions‘@­1427“·i‘ -­Used–ÕXin“section“1426.Ž¡·h‘ª¨«Declare‘Y]ÂRectangleŽ‘8òO«functions‘@­1058,–Ù 1061,“1063,“1066,“1068,“1071,“1073,“1076,“1080,“1082,“1085,“1087,“1090,“1091,“1092,ަ‘1093‘ª¨·i‘ -­Used–ÕXin“section“1056.Ž¡·h›ª¨«Declare‘SÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘q >«functions‘@­940,– G941,“942,“943,“944,“945,“947,“950,“961,“964,“966,“967˜·i‘ -­Used‘w±inަ‘section‘ÕX938.Ž¡·h›ª¨«Declare‘(¿ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘GÐ2«functions‘@­1023,–·1026,“1029,“1032,“1036,“1038,“1042,“1044,“1046,“1047,“1048,“1050,“1051˜·i‘ -­Usedަ‘in–ÕXsection“1022.ŽŽŽŒ‹úp: Šn ý‘ì«506‘­NAMES–ÕXOF“THE“SECTIONS’´*3DLDFPRÃŽGŽ €n ý•@P·h–ª¨«Declare‘UUÂSolidu½‰™šs4Ž‘ÔwF‘ÿ -«acedŽ‘A {«functions‘@­1401“·i‘ -­Used–ÕXin“section“1400.Ž© •þ·h‘ª¨«Declare‘m%ÂSolidŽ‘ X!«functions‘@­1294,–î¥1296,“1298,“1300,“1302,“1304,“1306,“1308,“1311,“1313,“1315,“1317,“1319,“1321,“1324,“1326,ޤ ‘1328,–‹1330,“1332,“1334,“1336,“1338,“1341,“1343,“1345,“1347,“1350,“1352,“1354,“1356,“1359,“1361,“1363,“1364,“1366,“1368,Ž¡‘1370,–ÕX1372,“1374,“1378,“1381,“1384,“1387,“1390,“1393‘ª¨·i‘ -­Used“in“section“1291.ަ·h›ª¨«Declare‘UUÂT‘ÿ -«etrahedronŽ‘EF®«functions‘@­1434,–ÕX1437,“1441,“1443,“1445˜·i‘ -­Used“in“section“1431.ަ·h‘ª¨«Declare‘‘QÂT‘ÿ +­Used“in“section“264.Ž¡·h‘ª¨«Declare‘$ÛÂP•®9oin“tŽ‘!ãþ«functions‘@­284,–´b288,“291,“293,“295,“297,“299,“301,“302,“304,“307,“308,“309,“312,“314,“317,“319,“322,“324,“327,ަ‘329,–ð332,“334,“337,“339,“341,“342,“344,“345,“349,“352,“354,“356,“357,“360,“362,“364,“368,“370,“375,“377,“392,“394,“398,“402,ަ‘404,–ð406,“410,“412,“414,“416,“419,“420,“422,“423,“425,“426,“428,“429,“431,“433,“438,“440,“442,“444,“445,“447,“449,“451,“457,ަ‘461,–ð463,“466,“468,“474,“477,“479,“481,“483,“485,“488,“492,“494,“496,“498,“500,“502,“504,“507,“509,“511,“513,“516,“523,“525,ަ‘528,–ÕX529‘ª¨·i‘ +­Used“in“section“264.Ž¡·h›ª¨«Declare‘K¶ÂP®9olygonŽ‘/œZ«functions‘@­978,–ÎÍ980,“984,“993,“995,“1001,“1003,“1006,“1008,“1010,“1012,“1015,“1017,“1020,“1022˜·i‘ +­Usedަ‘in–ÕXsection“975.Ž¡·h–ª¨«Declare‘UUÂP®9olyhedronŽ‘@¸w«functions‘@­1432“·i‘ +­Used–ÕXin“section“1431.Ž¡·h‘ª¨«Declare‘Y]ÂRectangleŽ‘8òO«functions‘@­1061,–Ù 1064,“1066,“1069,“1071,“1074,“1076,“1079,“1082,“1085,“1087,“1090,“1092,“1095,“1096,ަ‘1097,–ÕX1098‘ª¨·i‘ +­Used“in“section“1059.Ž¡·h›ª¨«Declare‘SÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘q >«functions‘@­943,– G944,“945,“946,“947,“948,“950,“953,“964,“967,“969,“970˜·i‘ +­Used‘w±inަ‘section‘ÕX941.Ž¡·h›ª¨«Declare‘(¿ÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘GÐ2«functions‘@­1026,–·1029,“1032,“1035,“1039,“1041,“1045,“1047,“1049,“1050,“1051,“1053,“1054˜·i‘ +­Usedަ‘in–ÕXsection“1025.ŽŽŽŒ‹ÿ‚ý Šn ý‘ì­3DLDFPRÃŽG’´*NAMES–ÕXOF“THE“SECTIONS‘«511Ž €n ý•@P·h–ª¨«Declare‘UUÂSolidu½‰™šs4Ž‘ÔwF‘ÿ +«acedŽ‘A {«functions‘@­1406“·i‘ +­Used–ÕXin“section“1405.Ž© •þ·h‘ª¨«Declare‘m%ÂSolidŽ‘ X!«functions‘@­1299,–î¥1301,“1303,“1305,“1307,“1309,“1311,“1313,“1316,“1318,“1320,“1322,“1324,“1326,“1329,“1331,ޤ ‘1333,–‹1335,“1337,“1339,“1341,“1343,“1346,“1348,“1350,“1352,“1355,“1357,“1359,“1361,“1364,“1366,“1368,“1369,“1371,“1373,Ž¡‘1375,–ÕX1377,“1379,“1383,“1386,“1389,“1392,“1395,“1398‘ª¨·i‘ +­Used“in“section“1296.ަ·h›ª¨«Declare‘UUÂT‘ÿ +«etrahedronŽ‘EF®«functions‘@­1439,–ÕX1442,“1446,“1448,“1450˜·i‘ +­Used“in“section“1436.ަ·h‘ª¨«Declare‘‘QÂT‘ÿ «ransformŽ‘;–«functions‘@­124,–126,“128,“130,“132,“134,“136,“138,“140,“142,“145,“147,“150,“152,“155,“157,“158,“160,Ž¡‘166,–ÕX167,“168,“171,“173,“176,“178,“181,“187‘ª¨·i‘ ­Used“in“section“122.ަ·h›ª¨«Declare‘UUÂT‘ÿ -«runcu½‰™šs4Ž‘ÔwOctahedronŽ‘dyT«functions‘@­1479,–ÕX1482,“1484˜·i‘ -­Used“in“section“1476.ަ·h–ª¨«Declare‘UUÏdr‘ÿ}'aw‘‰ffŽ‘®axesŽ‘/[+«(‘ª®)‘@­921,›ÕX926“·i‘ -­Used˜in˜section˜934.ަ·h–ª¨«Declare‘UUÂnamespaceŽ‘<øÏColorsŽ‘b­­109“·i‘ +«runcu½‰™šs4Ž‘ÔwOctahedronŽ‘dyT«functions‘@­1484,–ÕX1487,“1489˜·i‘ +­Used“in“section“1481.ަ·h–ª¨«Declare‘UUÏdr‘ÿ}'aw‘‰ffŽ‘®axesŽ‘/[+«(‘ª®)‘@­924,›ÕX929“·i‘ +­Used˜in˜section˜937.ަ·h–ª¨«Declare‘UUÂnamespaceŽ‘<øÏColorsŽ‘b­­109“·i‘ ­Cited–ÕXin“section“109.‘qÈUsed“in“section“118.ަ·h›ª¨«De ne–UUI/O“functions‘@­43,–ÕX44,“46,“48,“50˜·i‘ -­Used“in“section“52.ަ·h›ª¨«De ne–UUP¸ãattern“functions‘@­1279,–ÕX1282,“1285˜·i‘ -­Used“in“section“1287.ަ·h–ª¨«De ne‘UUclasses‘@­208,›ÕX216“·i‘ +­Used“in“section“52.ަ·h›ª¨«De ne–UUP¸ãattern“functions‘@­1284,–ÕX1287,“1290˜·i‘ +­Used“in“section“1292.ަ·h–ª¨«De ne‘UUclasses‘@­208,›ÕX216“·i‘ ­Used˜in˜sections˜260˜and˜261.ަ·h›ª¨«De ne–UUcomparison“classes‘@­454,–ÕX455,“456˜·i‘ ­Cited“in“section“552.‘qÈUsed“in“sections“589“and“590.ަ·h›ª¨«De ne–UUnon-mem¸ãbGer“functions“for“ÂColorŽ‘#ä÷­104˜·i‘ -­Used–ÕXin“section“118.ަ·h›ª¨«De ne–UUnon-mem¸ãbGer“functions“for“ÂP•®9oin“tsŽ‘'¸Ý­437,–ÕX491,“512˜·i‘ -­Used“in“section“589.ަ·h›ª¨«De ne–UUparser“functions‘@­1493˜·i‘ -­Used–ÕXin“section“1495.ަ·h›ª¨«De ne–UUutilit¸ãy“functions‘@­22,–ÕX30,“32˜·i‘ -­Cited“in“section“22.‘qÈUsed“in“section“35.ަ·h›ª¨«De ne‘UUÂCircleŽ‘% Ö«functions‘@­1235,–ÕX1238,“1240,“1243,“1245,“1249,“1251,“1254,“1259,“1261,“1263˜·i‘ -­Used“in“section“1273.ަ·h›ª¨«De ne‘RÂColorŽ‘"ó¬«functions‘@­59,–Ó61,“64,“66,“69,“71,“74,“76,“78,“81,“83,“85,“87,“89,“91,“93,“101,“106,“108˜·i‘ -­Used–Ò‰in“section“118.ަ·h›ª¨«De ne‘UUÂCubQÇoidŽ‘+úD«functions‘@­1411,–ÕX1413,“1415,“1417,“1419,“1421˜·i‘ -­Used“in“section“1422.ަ·h›ª¨«De ne‘UUÂDoQÇdecahedronŽ‘Oj8«functions‘@­1452,–ÕX1455,“1456,“1458,“1460˜·i‘ -­Used“in“section“1488.ަ·h‘ª¨«De ne‘N{ÂEllipseŽ‘(…Ï«functions‘@­1102,–Я1105,“1107,“1110,“1112,“1115,“1118,“1122,“1125,“1127,“1129,“1130,“1132,“1135,“1137,“1140,Ž¡‘1142,–‹1144,“1146,“1150,“1152,“1155,“1157,“1159,“1161,“1163,“1166,“1168,“1171,“1172,“1173,“1174,“1175,“1176,“1177,“1178,Ž¡‘1179,–ÍÜ1180,“1182,“1183,“1188,“1190,“1192,“1194,“1196,“1199,“1201,“1204,“1206,“1209,“1211,“1214,“1216,“1218,“1220‘ª¨·i‘ -­UsedŽ¡‘in–ÕXsection“1227.ަ·h›ª¨«De ne‘UUÂF‘ÿ +­Used–ÕXin“section“118.ަ·h›ª¨«De ne–UUnon-mem¸ãbGer“functions“for“ÂP•®9oin“tsŽ‘'¸Ý­437,–ÕX491˜·i‘ +­Used“in“section“589.ަ·h›ª¨«De ne–UUparser“functions‘@­1498˜·i‘ +­Used–ÕXin“section“1500.ަ·h›ª¨«De ne–UUutilit¸ãy“functions‘@­22,–ÕX30,“32˜·i‘ +­Cited“in“section“22.‘qÈUsed“in“section“35.ަ·h›ª¨«De ne‘UUÂCircleŽ‘% Ö«functions‘@­1240,–ÕX1243,“1245,“1248,“1250,“1254,“1256,“1259,“1264,“1266,“1268˜·i‘ +­Used“in“section“1278.ަ·h›ª¨«De ne‘RÂColorŽ‘"ó¬«functions‘@­59,–Ó61,“64,“66,“69,“71,“74,“76,“78,“81,“83,“85,“87,“89,“91,“93,“101,“106,“108˜·i‘ +­Used–Ò‰in“section“118.ަ·h›ª¨«De ne‘UUÂCubQÇoidŽ‘+úD«functions‘@­1416,–ÕX1418,“1420,“1422,“1424,“1426˜·i‘ +­Used“in“section“1427.ަ·h›ª¨«De ne‘UUÂDoQÇdecahedronŽ‘Oj8«functions‘@­1457,–ÕX1460,“1461,“1463,“1465˜·i‘ +­Used“in“section“1493.ަ·h‘ª¨«De ne‘N{ÂEllipseŽ‘(…Ï«functions‘@­1107,–Я1110,“1112,“1115,“1117,“1120,“1123,“1127,“1130,“1132,“1134,“1135,“1137,“1140,“1142,“1145,Ž¡‘1147,–‹1149,“1151,“1155,“1157,“1160,“1162,“1164,“1166,“1168,“1171,“1173,“1176,“1177,“1178,“1179,“1180,“1181,“1182,“1183,Ž¡‘1184,–ÍÜ1185,“1187,“1188,“1193,“1195,“1197,“1199,“1201,“1204,“1206,“1209,“1211,“1214,“1216,“1219,“1221,“1223,“1225‘ª¨·i‘ +­UsedŽ¡‘in–ÕXsection“1232.ަ·h›ª¨«De ne‘UUÂF‘ÿ «oQÇcusŽ‘#Ÿö«functions‘@­561,–ÕX563,“566,“568,“570,“572,“574,“582,“585˜·i‘ -­Used“in“section“589.ަ·h›ª¨«De ne‘UUÂIcosahedronŽ‘Cƒy«functions‘@­1466,–ÕX1469,“1471,“1473˜·i‘ -­Used“in“section“1488.ަ·h›ª¨«De ne‘UUÂLabQÇelŽ‘"ì «functions‘@­470,–ÕX471,“472˜·i‘ +­Used“in“section“589.ަ·h›ª¨«De ne‘UUÂIcosahedronŽ‘Cƒy«functions‘@­1471,–ÕX1474,“1476,“1478˜·i‘ +­Used“in“section“1493.ަ·h›ª¨«De ne‘UUÂLabQÇelŽ‘"ì «functions‘@­470,–ÕX471,“472˜·i‘ ­Used“in“section“589.ަ·h–ª¨«De ne‘UUÂLineŽ‘-«constructors‘@­596,›ÕX598“·i‘ -­Used˜in˜section˜613.ަ·h›ª¨«De ne‘UUÂLineŽ‘-«functions‘@­600,–ÕX605,“606,“607,“609,“931˜·i‘ -­Used“in“sections“613“and“933.ަ·h‘ª¨«De ne‘ycÂP®9athŽ‘„*«functions‘@­657,–û§661,“664,“666,“669,“671,“674,“676,“678,“681,“683,“685,“687,“689,“693,“696,“698,“701,“703,“705,Ž¡‘707,–ð709,“714,“720,“722,“724,“726,“729,“731,“734,“736,“739,“741,“743,“748,“750,“752,“755,“757,“759,“763,“764,“765,“766,“768,Ž¡‘770,–ð771,“776,“778,“785,“787,“794,“796,“802,“804,“807,“809,“813,“815,“821,“824,“826,“830,“832,“835,“837,“840,“842,“843,“844,Ž¡‘847,–ð849,“851,“853,“855,“857,“858,“859,“860,“861,“862,“863,“867,“869,“873,“875,“880,“882,“883,“884,“885,“886,“888,“890,“894,Ž¡‘895,–ÕX896,“897,“900,“906,“909,“910,“911,“913,“915,“918,“930‘ª¨·i‘ -­Used“in“section“933.ަ·h‘ª¨«De ne‘1ÂPictureŽ‘,Öo«functions‘@­219,–!²226,“228,“232,“236,“239,“242,“245,“247,“249,“251,“373,“396,“543,“544,“545,“546,“548,“549,Ž¡‘550,–ÕX551,“552,“553,“554‘ª¨·i‘ -­Used“in“sections“260“and“589.ަ·h›ª¨«De ne‘UUÂPlaneŽ‘#Œ «functions‘@­620,–ÕX622,“624,“626,“629,“631,“634,“636,“641,“644,“646,“919˜·i‘ -­Used“in“sections“650“and“933.ަ·h›ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«constructors‘@­280,–ÕX283,“287˜·i‘ -­Used“in“section“589.ަ·h‘ª¨«De ne‘dÂP•®9oin“tŽ‘"cF«functions‘@­285,–åt289,“292,“294,“296,“298,“300,“303,“305,“313,“315,“318,“320,“323,“325,“328,“330,“333,“335,“338,Ž¡‘340,–ð343,“346,“347,“350,“351,“353,“355,“361,“363,“365,“369,“371,“376,“378,“393,“399,“400,“401,“403,“405,“407,“411,“413,“415,Ž¡‘417,–ð432,“434,“439,“441,“443,“446,“448,“450,“452,“458,“462,“464,“467,“469,“475,“478,“480,“482,“484,“486,“489,“493,“495,“497,Ž¡‘499,–ð501,“503,“505,“508,“510,“517,“518,“519,“520,“521,“522,“524,“526,“530,“531,“532,“533,“534,“535,“536,“537,“538,“539,“540,Ž¡‘541,–nX601,“603,“637,“717,“780,“781,“789,“790,“798,“799,“817,“818,“898,“901,“902,“903‘ª¨·i‘ -­Used–O¾in“sections“589,–nX613,“650,Ž¡‘and‘ÕX933.ަ·h‘ª¨«De ne‘ËnÂP®9olygonŽ‘0›Ê«functions‘@­976,–RÓ978,“982,“983,“984,“985,“986,“987,“988,“989,“991,“993,“994,“995,“996,“999,“1001,“1004,Ž¡‘1006,–ÕX1008,“1010,“1013,“1015,“1018,“1020‘ª¨·i‘ -­Used“in“section“1052.ަ·h–ª¨«De ne‘UUÂP®9olyhedronŽ‘@¸w«functions‘@­1428“·i‘ -­Used–ÕXin“section“1488.ަ·h‘ª¨«De ne‘¾ÂRectangleŽ‘9C«functions‘@­1059,–‡1062,“1064,“1067,“1069,“1072,“1074,“1077,“1081,“1083,“1086,“1088,“1223,“1224,“1225,Ž¡‘1226‘ª¨·i‘ -­Used–ÕXin“sections“1094“and“1227.ŽŽŽŒ‹û…` Šn ý‘ì­3DLDFPRÃŽG’´*NAMES–ÕXOF“THE“SECTIONS‘«507Ž €n ý•@P·h›ª¨«De ne‘^hÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o´h«functions‘@­946,–Þü948,“951,“952,“953,“954,“955,“956,“957,“958,“959,“960,“962,“965˜·i‘ -­Usedޤ ‘in–ÕXsection“968.Ž© &e·h›ª¨«De ne‘¢vÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘Hà«functions‘@­1024,–'K1027,“1030,“1031,“1033,“1034,“1037,“1039,“1265,“1267,“1268,“1269,“1271,“1272˜·iŽ¡‘­Used–ÕXin“sections“1052“and“1273.ަ·h–ª¨«De ne‘UUÂShapQÇeŽ‘%–·«class‘@­199,›ÕX200“·i‘ +­Used˜in˜section˜613.ަ·h›ª¨«De ne‘UUÂLineŽ‘-«functions‘@­600,–ÕX605,“606,“607,“609,“934˜·i‘ +­Used“in“sections“613“and“936.ަ·h‘ª¨«De ne‘ycÂP®9athŽ‘„*«functions‘@­657,–û§661,“664,“666,“669,“671,“674,“676,“678,“681,“683,“685,“687,“689,“693,“696,“698,“701,“703,“705,Ž¡‘707,–ð709,“714,“720,“722,“724,“726,“729,“731,“734,“736,“739,“741,“743,“748,“750,“752,“755,“757,“759,“763,“764,“765,“766,“768,Ž¡‘770,–ð771,“776,“778,“785,“787,“794,“796,“802,“804,“807,“809,“813,“815,“821,“824,“826,“830,“832,“835,“837,“840,“842,“843,“844,Ž¡‘847,–ð849,“851,“853,“855,“857,“858,“859,“860,“861,“862,“863,“867,“869,“873,“875,“880,“882,“883,“884,“885,“886,“889,“891,“893,Ž¡‘897,–ÕX898,“899,“900,“903,“909,“912,“913,“914,“916,“918,“921,“933‘ª¨·i‘ +­Used“in“section“936.ަ·h‘ª¨«De ne‘1ÂPictureŽ‘,Öo«functions‘@­219,–!²226,“228,“232,“236,“239,“242,“245,“247,“249,“251,“373,“396,“543,“544,“545,“546,“548,“549,Ž¡‘550,–ÕX551,“552,“553,“554‘ª¨·i‘ +­Used“in“sections“260“and“589.ަ·h›ª¨«De ne‘UUÂPlaneŽ‘#Œ «functions‘@­620,–ÕX622,“624,“626,“629,“631,“634,“636,“641,“644,“646,“922˜·i‘ +­Used“in“sections“650“and“936.ަ·h›ª¨«De ne‘UUÂP•®9oin“tŽ‘"Dò«constructors‘@­280,–ÕX283,“287˜·i‘ +­Used“in“section“589.ަ·h‘ª¨«De ne‘dÂP•®9oin“tŽ‘"cF«functions‘@­285,–åt289,“292,“294,“296,“298,“300,“303,“305,“313,“315,“318,“320,“323,“325,“328,“330,“333,“335,“338,Ž¡‘340,–ð343,“346,“347,“350,“351,“353,“355,“361,“363,“365,“369,“371,“376,“378,“393,“399,“400,“401,“403,“405,“407,“411,“413,“415,Ž¡‘417,–ð432,“434,“439,“441,“443,“446,“448,“450,“452,“458,“462,“464,“467,“469,“475,“478,“480,“482,“484,“486,“489,“493,“495,“497,Ž¡‘499,–ð501,“503,“505,“508,“510,“512,“517,“518,“519,“520,“521,“522,“524,“526,“530,“531,“532,“533,“534,“535,“536,“537,“538,“539,Ž¡‘540,–è²541,“601,“603,“637,“717,“780,“781,“789,“790,“798,“799,“817,“818,“901,“904,“905,“906‘ª¨·i‘ +­Used–äÓin“sections“589,–è²613,“650,Ž¡‘and‘ÕX936.ަ·h‘ª¨«De ne‘¬fÂP®9olygonŽ‘0]º«functions‘@­979,–1Û981,“985,“986,“987,“988,“989,“990,“991,“992,“994,“996,“997,“998,“999,“1002,“1004,“1007,Ž¡‘1009,–ÕX1011,“1013,“1016,“1018,“1021,“1023‘ª¨·i‘ +­Used“in“section“1055.ަ·h–ª¨«De ne‘UUÂP®9olyhedronŽ‘@¸w«functions‘@­1433“·i‘ +­Used–ÕXin“section“1493.ަ·h‘ª¨«De ne‘¾ÂRectangleŽ‘9C«functions‘@­1062,–‡1065,“1067,“1070,“1072,“1075,“1077,“1080,“1083,“1086,“1088,“1091,“1093,“1228,“1229,Ž¡‘1230,–ÕX1231‘ª¨·i‘ +­Used“in“sections“1099“and“1232.ŽŽŽŒ‹˜) Šn ý‘ì«512‘­NAMES–ÕXOF“THE“SECTIONS’´*3DLDFPRÃŽGŽ €n ý•@P·h›ª¨«De ne‘^hÂRegu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ‘o´h«functions‘@­949,–Þü951,“954,“955,“956,“957,“958,“959,“960,“961,“962,“963,“965,“968˜·i‘ +­Usedޤ ‘in–ÕXsection“971.Ž© &e·h›ª¨«De ne‘¢vÂRegu½‰™šs4Ž‘ÔwP®9olygonŽ‘Hà«functions‘@­1027,–'K1030,“1033,“1034,“1036,“1037,“1040,“1042,“1270,“1272,“1273,“1274,“1276,“1277˜·iŽ¡‘­Used–ÕXin“sections“1055“and“1278.ަ·h–ª¨«De ne‘UUÂShapQÇeŽ‘%–·«class‘@­199,›ÕX200“·i‘ ­Used˜in˜sections˜203˜and˜204.ަ·h–ª¨«De ne‘UUÂSolidu½‰™šs4Ž‘ÔwF‘ÿ -«acedŽ‘A {«functions‘@­1402“·i‘ -­Used–ÕXin“section“1404.ަ·h‘ª¨«De ne‘”9ÂSolidŽ‘ ¦I«functions‘@­1295,–*1297,“1299,“1301,“1303,“1305,“1309,“1312,“1314,“1316,“1318,“1320,“1322,“1325,“1327,“1329,Ž¡‘1331,–‹1333,“1335,“1337,“1339,“1342,“1344,“1346,“1348,“1351,“1353,“1355,“1357,“1360,“1362,“1365,“1367,“1369,“1371,“1373,Ž¡‘1375,–ÕX1379,“1382,“1385,“1388,“1391,“1394‘ª¨·i‘ -­Used“in“section“1396.ަ·h›ª¨«De ne‘UUÂT‘ÿ -«etrahedronŽ‘EF®«functions‘@­1435,–ÕX1438,“1439,“1440,“1442,“1444,“1446˜·i‘ -­Used“in“section“1488.ަ·h‘ª¨«De ne‘¶ÂT‘ÿ +«acedŽ‘A {«functions‘@­1407“·i‘ +­Used–ÕXin“section“1409.ަ·h‘ª¨«De ne‘”9ÂSolidŽ‘ ¦I«functions‘@­1300,–*1302,“1304,“1306,“1308,“1310,“1314,“1317,“1319,“1321,“1323,“1325,“1327,“1330,“1332,“1334,Ž¡‘1336,–‹1338,“1340,“1342,“1344,“1347,“1349,“1351,“1353,“1356,“1358,“1360,“1362,“1365,“1367,“1370,“1372,“1374,“1376,“1378,Ž¡‘1380,–ÕX1384,“1387,“1390,“1393,“1396,“1399‘ª¨·i‘ +­Used“in“section“1401.ަ·h›ª¨«De ne‘UUÂT‘ÿ +«etrahedronŽ‘EF®«functions‘@­1440,–ÕX1443,“1444,“1445,“1447,“1449,“1451˜·i‘ +­Used“in“section“1493.ަ·h‘ª¨«De ne‘¶ÂT‘ÿ «ransformŽ‘;߉«functions‘@­125,–<127,“129,“131,“133,“135,“137,“141,“143,“146,“148,“151,“153,“156,“159,“161,“162,“163,Ž¡‘164,–Å&172,“174,“177,“179,“182,“183,“184,“185,“186,“188,“372,“380,“381,“382,“383,“384,“385,“386,“387,“388,“395,“716‘ª¨·i‘ -­Used‘ÁinŽ¡‘sections–ÕX194,“589,“and“933.ަ·h›ª¨«De ne‘UUÂT‘ÿ -«runcu½‰™šs4Ž‘ÔwOctahedronŽ‘dyT«functions‘@­1480,–ÕX1483,“1485,“1486˜·i‘ -­Used“in“section“1488.ަ·h–ª¨«De ne‘UUÂb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜quadrupleŽ‘s<«functions‘@­271“·i‘ +­Used‘ÁinŽ¡‘sections–ÕX194,“589,“and“936.ަ·h›ª¨«De ne‘UUÂT‘ÿ +«runcu½‰™šs4Ž‘ÔwOctahedronŽ‘dyT«functions‘@­1485,–ÕX1488,“1490,“1491˜·i‘ +­Used“in“section“1493.ަ·h–ª¨«De ne‘UUÂb•QÇo“olu½‰™šs4Ž›Ôwp“oin®9tu½‰™šs4Ž˜quadrupleŽ‘s<«functions‘@­271“·i‘ ­Used–ÕXin“section“589.ަ·h–ª¨«De ne‘UUÂb•QÇo“olu½‰™šs4Ž‘Ôwp“oin®9tŽ‘;üð«functions‘@­269“·i‘ ­Cited–ÕXin“section“268.‘qÈUsed“in“section“589.ަ·h–ª¨«De ne‘UUÂb•QÇo“olu½‰™šs4Ž–Ôwrealu½‰™šs4Ž“pQÇoin®9tŽ‘Sœ «functions‘@­273“·i‘ -­Used–ÕXin“section“589.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦CircleŽ‘@ØÖ­1232“·i‘ -­Used–ÕXin“sections“1273“and“1274.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦ColorŽ‘>ÅH­56“·i‘ -­Used–ÕXin“sections“118“and“119.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦CubQÇoidŽ‘GÅD­1408“·i‘ -­Used–ÕXin“sections“1422“and“1423.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦DoQÇdecahedronŽ‘k58­1448“·i‘ -­Used–ÕXin“sections“1488“and“1489.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦EllipseŽ‘D^ƒ­1098“·i‘ -­Used–ÕXin“sections“1227“and“1228.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦F‘ÿ +­Used–ÕXin“section“589.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦CircleŽ‘@ØÖ­1237“·i‘ +­Used–ÕXin“sections“1278“and“1279.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦ColorŽ‘>ÅH­56“·i‘ +­Used–ÕXin“sections“118“and“119.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦CubQÇoidŽ‘GÅD­1413“·i‘ +­Used–ÕXin“sections“1427“and“1428.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦DoQÇdecahedronŽ‘k58­1453“·i‘ +­Used–ÕXin“sections“1493“and“1494.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦EllipseŽ‘D^ƒ­1103“·i‘ +­Used–ÕXin“sections“1232“and“1233.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦F‘ÿ «oQÇcusŽ‘?jö­556“·i‘ -­Used–ÕXin“sections“589“and“590.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦IcosahedronŽ‘_Ny­1462“·i‘ -­Used–ÕXin“sections“1488“and“1489.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦P®9athŽ‘;­654“·i‘ -­Used–ÕXin“sections“933“and“934.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦P•®9oin“tŽ‘>ò­264“·i‘ -­Used–ÕXin“sections“589“and“590.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦P®9olygonŽ‘Kz˜­972“·i‘ -­Used–ÕXin“sections“1052“and“1053.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦P®9olyhedronŽ‘\ƒw­1426“·i‘ -­Used–ÕXin“sections“1488“and“1489.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦RectangleŽ‘Tµ?­1056“·i‘ -­Used–ÕXin“sections“1094“and“1095.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦Regu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ’‹mB­938“·i‘ -­Used–ÕXin“sections“968“and“969.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦Regu½‰™šs4Ž‘ÔwP®9olygonŽ‘cô^­1022“·i‘ -­Used–ÕXin“sections“1052“and“1053.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦Solidu½‰™šs4Ž‘ÔwF‘ÿ -«acedŽ‘]k{­1400“·i‘ -­Used–ÕXin“sections“1404“and“1405.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦SolidŽ‘;ó­1291“·i‘ -­Used–ÕXin“sections“1396“and“1397.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦T‘ÿ -«etrahedronŽ‘a®­1431“·i‘ -­Used–ÕXin“sections“1488“and“1489.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦T‘ÿ +­Used–ÕXin“sections“589“and“590.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦IcosahedronŽ‘_Ny­1467“·i‘ +­Used–ÕXin“sections“1493“and“1494.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦P®9athŽ‘;­654“·i‘ +­Used–ÕXin“sections“936“and“937.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦P•®9oin“tŽ‘>ò­264“·i‘ +­Used–ÕXin“sections“589“and“590.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦P®9olygonŽ‘Kz˜­975“·i‘ +­Used–ÕXin“sections“1055“and“1056.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦P®9olyhedronŽ‘\ƒw­1431“·i‘ +­Used–ÕXin“sections“1493“and“1494.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦RectangleŽ‘Tµ?­1059“·i‘ +­Used–ÕXin“sections“1099“and“1100.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦Regu½‰™šs4Ž–ÔwClu½‰™šs4Ž“Planeu½‰™šs4Ž“Curv®9eŽ’‹mB­941“·i‘ +­Used–ÕXin“sections“971“and“972.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦Regu½‰™šs4Ž‘ÔwP®9olygonŽ‘cô^­1025“·i‘ +­Used–ÕXin“sections“1055“and“1056.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦Solidu½‰™šs4Ž‘ÔwF‘ÿ +«acedŽ‘]k{­1405“·i‘ +­Used–ÕXin“sections“1409“and“1410.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦SolidŽ‘;ó­1296“·i‘ +­Used–ÕXin“sections“1401“and“1402.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦T‘ÿ +«etrahedronŽ‘a®­1436“·i‘ +­Used–ÕXin“sections“1493“and“1494.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦T‘ÿ «ransformŽ‘Vé'­122“·i‘ ­Used–ÕXin“sections“194“and“195.ަ·h–ª¨«De ne‘UUÂclassŽ‘5¦T‘ÿ -«runcu½‰™šs4Ž‘ÔwOctahedronŽ’€DT­1476“·i‘ -­Used–ÕXin“sections“1488“and“1489.ަ·h›ª¨«De ne‘UUÏdr‘ÿ}'aw‘‰ffŽ‘®axesŽ‘/[+«(‘ª®)‘@­922,–ÕX923,“924,“925,“927˜·i‘ -­Used“in“section“933.ަ·h–ª¨«De ne‘UUÂstaticŽ‘"ž.P•®9oin“tŽ‘AË«data‘UUmem¸ãbGers‘@­265“·i‘ -­Used–ÕXin“section“589.ަ·h–ª¨«De ne‘UUÂstaticŽ‘"ž.constŽ‘@ÈÐDoQÇdecahedronŽ’ŒÝ³«data‘UUmem¸ãbGers‘@­1449“·i‘ -­Used–ÕXin“section“1488.ަ·h–ª¨«De ne‘UUÂstaticŽ‘"ž.constŽ‘@ÈÐIcosahedronŽ’€öô«data‘UUmem¸ãbGers‘@­1463“·i‘ -­Used–ÕXin“section“1488.ަ·h–ª¨«De ne‘UUÂstaticŽ‘"ž.constŽ‘@ÈÐSolidŽ‘]›ü«data‘UUmem¸ãbGers‘@­1292“·i‘ -­Used–ÕXin“section“1396.ަ·h–ª¨«De ne‘UUÂstaticŽ‘"ž.constŽ‘@ÈÐT‘ÿ -«etrahedronŽ’‚º)«data‘UUmem¸ãbGers‘@­1432“·i‘ -­Used–ÕXin“section“1488.ަ·h–ª¨«De ne‘UUÂstaticŽ‘"ž.constŽ‘@ÈÐT‘ÿ -«runcu½‰™šs4Ž‘ÔwOctahedronŽ’¡ìÏ«data‘UUmem¸ãbGers‘@­1477“·i‘ -­Used–ÕXin“section“1488.ަ·h–ª¨«De ne‘UUÂstaticŽ‘"ž.EllipseŽ‘GÜ\«data‘UUmem¸ãbGers‘@­1099“·i‘ -­Used–ÕXin“section“1227.ަ·h–ª¨«De ne‘UUÂstaticŽ‘"ž.ShapQÇeŽ‘Dß«mem¸ãbGer‘UUv‘ÿqÇariables‘@­201“·i‘ +«runcu½‰™šs4Ž‘ÔwOctahedronŽ’€DT­1481“·i‘ +­Used–ÕXin“sections“1493“and“1494.ަ·h›ª¨«De ne‘UUÏdr‘ÿ}'aw‘‰ffŽ‘®axesŽ‘/[+«(‘ª®)‘@­925,–ÕX926,“927,“928,“930˜·i‘ +­Used“in“section“936.ަ·h–ª¨«De ne‘UUÂstaticŽ‘"ž.P•®9oin“tŽ‘AË«data‘UUmem¸ãbGers‘@­265“·i‘ +­Used–ÕXin“section“589.ަ·h–ª¨«De ne‘UUÂstaticŽ‘"ž.constŽ‘@ÈÐDoQÇdecahedronŽ’ŒÝ³«data‘UUmem¸ãbGers‘@­1454“·i‘ +­Used–ÕXin“section“1493.ަ·h–ª¨«De ne‘UUÂstaticŽ‘"ž.constŽ‘@ÈÐIcosahedronŽ’€öô«data‘UUmem¸ãbGers‘@­1468“·i‘ +­Used–ÕXin“section“1493.ަ·h–ª¨«De ne‘UUÂstaticŽ‘"ž.constŽ‘@ÈÐSolidŽ‘]›ü«data‘UUmem¸ãbGers‘@­1297“·i‘ +­Used–ÕXin“section“1401.ަ·h–ª¨«De ne‘UUÂstaticŽ‘"ž.constŽ‘@ÈÐT‘ÿ +«etrahedronŽ’‚º)«data‘UUmem¸ãbGers‘@­1437“·i‘ +­Used–ÕXin“section“1493.ަ·h–ª¨«De ne‘UUÂstaticŽ‘"ž.constŽ‘@ÈÐT‘ÿ 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ÁA105‘30ŽŽ¡Initialize‘UUÂColors‘VÈ«.Ž–.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž‘ ÁA107‘30ŽŽ¡Namespace‘UUÂColors‘ºV«.Ž–.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž‘ ÁA109‘31ŽŽ¡Ma‘Ž8jor‘UUÂColors‘³;«.Ž–.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž‘ ÁA111‘32ŽŽ¡‘In¸ãternal–UU(with“initialization)‘£z.Ž–.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž“.Ž‘ 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