diff options
| author | Karl Berry <karl@freefriends.org> | 2018-10-30 20:45:57 +0000 |
|---|---|---|
| committer | Karl Berry <karl@freefriends.org> | 2018-10-30 20:45:57 +0000 |
| commit | 046ae60f6e5bda805763a12a2c95e3441e12e165 (patch) | |
| tree | f59c0c846c1f5dc679ab5a91c48c1e9c6d867327 /Master/texmf-dist | |
| parent | 2f129be30d68dbd9f380bdee127b42eb060b9630 (diff) | |
ketcindy (30oct18)
git-svn-id: svn://tug.org/texlive/trunk@49030 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist')
513 files changed, 35109 insertions, 32645 deletions
diff --git a/Master/texmf-dist/doc/support/ketcindy/LICENSE b/Master/texmf-dist/doc/support/ketcindy/LICENSE index 6bdf89623f8..4cf87165de3 100644 --- a/Master/texmf-dist/doc/support/ketcindy/LICENSE +++ b/Master/texmf-dist/doc/support/ketcindy/LICENSE @@ -1,6 +1,6 @@ -// Copyright (C) 2014 Setsuo Takato, KETCindy Japan project team +// Copyright (C) 2014-2018 Setsuo Takato, KETCindy Japan project team // -//This program is free software: you can redistribute it and/or modify +// This program is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation; either version 3 of the License, or // (at your option) any later version. diff --git a/Master/texmf-dist/doc/support/ketcindy/README b/Master/texmf-dist/doc/support/ketcindy/README index b9f34571bc0..6f1287e29b6 100644 --- a/Master/texmf-dist/doc/support/ketcindy/README +++ b/Master/texmf-dist/doc/support/ketcindy/README @@ -1,6 +1,8 @@ KeTCindy ======== +Version: $Version$ + KeTCindy combines a plugin to Cinderella with free mathematical software (R, Maxima, ...) to produce high-quality LaTeX graphics. Using Cinderella to generate graphics in an interactive environment, the diff --git a/Master/texmf-dist/doc/support/ketcindy/README.TeXLive b/Master/texmf-dist/doc/support/ketcindy/README.TeXLive index 4c9b3009b6a..6c9a74140e4 100644 --- a/Master/texmf-dist/doc/support/ketcindy/README.TeXLive +++ b/Master/texmf-dist/doc/support/ketcindy/README.TeXLive @@ -1,8 +1,10 @@ KETCindy for TeX Live ===================== -The files originally distributed by Prof. Takato have been adapted -by Norbert Preining to work within the framework of TeX Live. -At the moment only dirhead.txt was added to the main script location, -and a wrapper script ketcindy(.sh). +Layout of the distribution of KETCindy in TeX Live has been adjusted +to follow TDS standards. In addition, a starter script is provided that +checks for correct and up2date installation of the Cinderella plugin +and the necessary ketcindy.ini file installation. -2018-04-09 Norbert Preining +No further changes to the original sources have been done. + +2018-06-18 Norbert Preining diff --git a/Master/texmf-dist/doc/support/ketcindy/ScriptKeytyped.txt b/Master/texmf-dist/doc/support/ketcindy/ScriptKeytyped.txt deleted file mode 100644 index b06655d548e..00000000000 --- a/Master/texmf-dist/doc/support/ketcindy/ScriptKeytyped.txt +++ /dev/null @@ -1,134 +0,0 @@ -if(key()=="?" % keydownlist()==[32], - if(!isreal(NumTyped),NumTyped=0); - if(NumTyped==0, - DispStr= - "Figure(1) Parent(2) Parapara(3) Movie(4) Surf(5)"; - ); - if(NumTyped==1, - DispStr= - "Shift+ Title(T) Para(P) AniF(A) Slide(S) Digest(D)"; - ); - if(NumTyped==2, - DispStr="Shift+ Meshlab(M) KeTCindyJS(J)"; - ); - if(NumTyped==3, - DispStr= - "Ch : disp(0) chg(9) N(+,-) add(<) rmv(>)"; - ); - drawtext(mouse().xy,DispStr,size->24); - NumTyped=mod(NumTyped+1,4); -, - NumTyped=0; -); -if(key()=="1",//Mkfigure - Viewtex(); - kc(); -); -if(key()=="2",//Mkparent - Viewparent(); -); -if(key()=="3",//Flipbook(Parapara) - Flipbook(); -); -if(key()=="4",//Texmovie - Texmovie(); - kc(); -); -if(key()=="5",//Surface - Cheader(); - Cmain(); - kcC(); - if(ChNum>0, - Ch=[ChNum]; - , - Ch=[1]; - ); - ChNum=0; -); -if(key()=="T",//Title - Maketitle(); -); -if(key()=="P",//ParaF - Parafolder(); -); -if(key()=="A",//Animatefile - Animatefile(); -); -if(key()=="S",//Slide - Mkslides(); -); -if(key()=="D",//Digest(Summary) - Mkslidesummary(); -); -if(key()=="M",//Meshlab - Mkviewobj(OCNAME,OBJCMD,OCOPTION); -); -if(key()=="J",//KeTCindyJS - Mkketcindyjs(); -); - -if(key()=="0", - Dispchoice(); -); -if(key()=="9", - if(length(Ch)==0, - Ch=[ChNum]; - , - if(!contains(Ch,ChNum), - Ch=append(Ch,ChNum); - ChNum=Ch_(length(Ch)-1); - Ch=remove(Ch,[ChNum]); - Ch=sort(Ch); - ); - ); - Dispchoice(); -); -if(key()=="+", - ChNum=ChNum+1; - Dispchoice(); -); -if(key()=="-", - ChNum=ChNum-1; - Dispchoice(); -); -if(key()=="<", - if(length(select(Ch,#==ChNum))==0, - Ch=append(Ch,ChNum); - Ch=sort(Ch); - ChNum=ChNum+1; - ); - Dispchoice(); -); -if(key()=="^", - if(length(Ch)==0, - Ch=[ChNum]; - , - if(!contains(Ch,ChNum), - Ch=Ch_(1..(length(Ch)-1)); - Ch=append(Ch,ChNum); - Ch=sort(Ch); - ); - ); - ChNum=ChNum+1; - Dispchoice(); -); -if(key()=="~", - if(length(Ch)==0, - Ch=[ChNum]; - , - if(!contains(Ch,ChNum), - Ch=Ch_(1..(length(Ch)-1)); - Ch=append(Ch,ChNum); - Ch=sort(Ch); - ); - ); - ChNum=max(ChNum-1,1); - Dispchoice(); -); -if(key()==">", - if(length(Ch)>0, - ChNum=Ch_(length(Ch)); - Ch=Remove(Ch,[ChNum]); - ); - Dispchoice(); -); diff --git a/Master/texmf-dist/doc/support/ketcindy/Scriptfigure.txt b/Master/texmf-dist/doc/support/ketcindy/Scriptfigure.txt deleted file mode 100644 index 8026df529f4..00000000000 --- a/Master/texmf-dist/doc/support/ketcindy/Scriptfigure.txt +++ /dev/null @@ -1,16 +0,0 @@ -Ketinit(); -Texparent=""; - -Putpoint("A",[-4,0],A.xy); -Putpoint("B",[4,0],B.xy); -Putpoint("C",[1,4],C.xy); - // points can be put with Cindy button. - -Listplot([A,B,C,A]); -Plotdata("1","sin(x)","x",["da"]); -Paramplot("1","3*[cos(3*t),sin(2*t)]","t=[0,4*pi]",["Num=200","do"]); - -Windispg(); - -//Help("Plotdata"); -//Help("Option"); diff --git a/Master/texmf-dist/doc/support/ketcindy/Scriptketlibsci.txt b/Master/texmf-dist/doc/support/ketcindy/Scriptketlibsci.txt deleted file mode 100644 index 287b1bcadd5..00000000000 --- a/Master/texmf-dist/doc/support/ketcindy/Scriptketlibsci.txt +++ /dev/null @@ -1,8 +0,0 @@ -use("KetCindyPlugin"); -Dircdy=loaddirectory; -setdirectory(plugindirectory); -import("dirheadsci.txt"); -//PathS=replace(PathS,"6.0.0","5.5.2"); - -//Ketinit(); -//Ketinit3d(); diff --git a/Master/texmf-dist/doc/support/ketcindy/ketmanual/KeTCindyReferenceE.pdf b/Master/texmf-dist/doc/support/ketcindy/ketmanual/KeTCindyReferenceE.pdf Binary 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a/Master/texmf-dist/doc/support/ketcindy/samples/s07slides/howtouseslideJ.txt b/Master/texmf-dist/doc/support/ketcindy/samples/s07slides/howtouseslideJ.txt index db262b1b9ac..69ce201a905 100644 --- a/Master/texmf-dist/doc/support/ketcindy/samples/s07slides/howtouseslideJ.txt +++ b/Master/texmf-dist/doc/support/ketcindy/samples/s07slides/howtouseslideJ.txt @@ -1,4 +1,4 @@ -ketslideã«ã‚ˆã‚‹ãƒ—レゼンテーション　　2018.05.31 +ketslideã«ã‚ˆã‚‹ãƒ—レゼンテーション　　2018.07.29 ï¼ï¼Žä½œæˆã®æµã‚Œ @@ -21,20 +21,17 @@ ketslideã«ã‚ˆã‚‹ãƒ—レゼンテーション　　2018.05.31 　　　　注）urlã®æŒ‡å®šã§//を用ã„ã‚‹ã¨ã，||||ã¨ã™ã‚‹ã¨//ã«å¤‰æ›ã•ã‚Œã‚‹ï¼Ž 　２）å„ブãƒãƒƒã‚¯ã®å¼•æ•°ã®åŒºåˆ‡ã‚Šã¯ :: 　３）コマンド -　　　　・タイトル::èªè¾¼ãƒ•ã‚¡ã‚¤ãƒ«å(::å£ç´™ãƒ•ã‚¡ã‚¤ãƒ«)// +　　　　・タイトル(ã¾ãŸã¯title)::èªè¾¼ãƒ•ã‚¡ã‚¤ãƒ«å(::å£ç´™ãƒ•ã‚¡ã‚¤ãƒ«)// 　　　　　　　タイトルページを作æˆï¼ˆï¼‘行目ã«ãŠã） 　　　　　　注）å£ç´™(例ãˆã°wallpaperã¨ã™ã‚‹ï¼‰ã‚’背景ã«å…¥ã‚Œã‚‹ã¨ã 　　　　　　　　・例ãˆã°wallpaper.texを作æˆã—ã¦figフォルダã«å…¥ã‚Œã‚‹ï¼Ž 　　　　　　　　　　（figã«ã‚るサンプルwallpaper.texã‚’å‚照） -　　　　　　　　・sample.txtã§ã®æŒ‡å®šã¯ -　　　　　　　　　　　タイトル::slide0::wallpaper// -　　　　　　　　・å£ç´™ã‚’一時的ã«å¤–ã™ã¨ã㯠-　　　　　　　　　　　タイトル::slide0::%wallpaper// +　　　　　　　　・タイトル(title)::slide0::wallpaper// 　　　　　　注）preambleã«è¿½åŠ ã™ã‚‹ã¨ã 　　　　　　　　　１行目ã®//を外ã™ï¼Ž 　　　　　　　　　次ã®è¡Œã‹ã‚‰ï¼Œ::区切りã§æ›¸ãåŠ ãˆï¼Œæœ€å¾Œã«//ã‚’ãŠã． 　　　　　　注）タイトル画é¢ãŒä¸è¦ã®å ´åˆã¯ï¼Œ -　　　　　　　　　タイトル(ã¾ãŸã¯title)::notitle// +　　　　　　　　　タイトル(ã¾ãŸã¯title)::// 　　　　・main::段è½ã‚¿ã‚¤ãƒˆãƒ«å// 　　　　　　注）ページ番å·ã‚’表示ã™ã‚‹ã¨ãã¯ï¼Œç›´å¾Œã«\slidepage[1]//を入れる． 　　　　・new(::行下ã’)::タイトル((::ä½ç½®)::èªã¿è¾¼ã¿ãƒ•ã‚¡ã‚¤ãƒ«)// @@ -116,8 +113,13 @@ ketslideã«ã‚ˆã‚‹ãƒ—レゼンテーション　　2018.05.31 　　（１）mf(s)ã«ãƒ‘ラメータ値sã®ã¨ãã®å›³ã‚’記述ã™ã‚‹ï¼Ž 　　（２）パラパラã®è¨å®š -　　　　Setpara(foldername,funcitonstr,range,options); +　　　　Setpara(foldername,funcitonstr,range,options,optionsanime); +　　　　　options,optionsanimeã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆå€¤ 　　　　　　　options=["m/r", "Div=25"]; +　　　　　　　optionsanime=["Frate=10","Scale=1","OpA=[loop,controls,buttonsize=3mm]"]]; +　　　　注）optionsanmieã¯animation用ã®ã‚ªãƒ—ション +　　　　　　　OpAã«è¿½åŠ ã™ã‚‹ã¨ãã¯ï¼Œ"+"を用ã„ã‚‹ +　　　　　　　　"OpA=+step" => "OpA=[loop,controls,buttonsize=3mm,step]" 　　　　注）rangeã®è¨˜è¿° 　　　　　i) "s=[0,1]" 区間をDivã§åˆ†å‰² 　　　　　ii) [0.2, 0.6]　リストã®å„値をsã«ä»£å…¥ diff --git a/Master/texmf-dist/doc/support/ketcindy/samples/s07slides/s0706animate.cdy b/Master/texmf-dist/doc/support/ketcindy/samples/s07slides/s0706animate.cdy Binary files differindex 0e7f029d1dd..1849c63839c 100644 --- a/Master/texmf-dist/doc/support/ketcindy/samples/s07slides/s0706animate.cdy +++ b/Master/texmf-dist/doc/support/ketcindy/samples/s07slides/s0706animate.cdy diff --git a/Master/texmf-dist/doc/support/ketcindy/samples/s07slides/s0706animateE.cdy b/Master/texmf-dist/doc/support/ketcindy/samples/s07slides/s0706animateE.cdy Binary files differindex 483cea9135a..1b5fbb23b93 100644 --- a/Master/texmf-dist/doc/support/ketcindy/samples/s07slides/s0706animateE.cdy +++ b/Master/texmf-dist/doc/support/ketcindy/samples/s07slides/s0706animateE.cdy diff --git 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a/Master/texmf-dist/doc/support/ketcindy/source/KetCindyPlugin/src/KetCindyPlugin.java b/Master/texmf-dist/doc/support/ketcindy/source/KetCindyPlugin/src/KetCindyPlugin.java index 16fe6ae454a..ce158837837 100644 --- a/Master/texmf-dist/doc/support/ketcindy/source/KetCindyPlugin/src/KetCindyPlugin.java +++ b/Master/texmf-dist/doc/support/ketcindy/source/KetCindyPlugin/src/KetCindyPlugin.java @@ -13,7 +13,7 @@ public class KetCindyPlugin extends CindyScriptPlugin { @CindyScript("ketjavaversion") public String ketjavaversion() { - return "Ketjava 20180408"; + return "Ketjava 20180727"; } public String getName() { @@ -143,7 +143,8 @@ public class KetCindyPlugin extends CindyScriptPlugin { } // 16.07.21upto } - if(str.indexOf("MV ")>-1 || str.indexOf("MOVE ")>-1){ +// if(str.indexOf("MV ")>-1 || str.indexOf("MOVE ")>-1){ + if(str.indexOf("MV ")>-1){ /*180727*/ flg=3; } if(str.indexOf("RD ")>-1 || str.indexOf("RMDIR ")>-1){ diff --git 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868 -1087}\special{pa 861 -1076}% +\special{pa 854 -1066}\special{pa 848 -1055}\special{pa 841 -1045}\special{pa 834 -1034}% +\special{pa 828 -1024}\special{pa 822 -1013}\special{pa 815 -1002}\special{pa 809 -991}% +\special{pa 803 -981}\special{pa 797 -970}\special{pa 791 -959}\special{pa 785 -948}% +\special{pa 779 -937}\special{pa 773 -926}\special{pa 767 -915}\special{pa 761 -904}% +\special{pa 756 -892}\special{pa 750 -881}\special{pa 745 -870}% +\special{fp}% +\special{pa 642 -614}\special{pa 639 -603}\special{pa 635 -591}\special{pa 631 -579}% +\special{pa 628 -567}\special{pa 624 -555}\special{pa 621 -543}\special{pa 618 -531}% +\special{pa 615 -519}\special{pa 611 -507}\special{pa 608 -494}\special{pa 605 -482}% +\special{pa 602 -470}\special{pa 600 -458}\special{pa 597 -446}\special{pa 594 -434}% +\special{pa 592 -421}\special{pa 589 -409}\special{pa 587 -397}\special{pa 584 -385}% +\special{pa 582 -372}\special{pa 580 -360}\special{pa 578 -348}\special{pa 576 -336}% +\special{pa 574 -323}\special{pa 572 -311}\special{pa 570 -299}\special{pa 568 -286}% +\special{pa 567 -274}\special{pa 565 -261}\special{pa 564 -249}\special{pa 562 -237}% +\special{pa 561 -224}\special{pa 560 -212}\special{pa 559 -199}\special{pa 558 -187}% +\special{pa 557 -175}\special{pa 556 -162}\special{pa 555 -150}\special{pa 554 -137}% +\special{pa 553 -125}\special{pa 553 -112}\special{pa 552 -100}\special{pa 552 -87}% +\special{pa 552 -75}\special{pa 551 -62}\special{pa 551 -50}\special{pa 551 -37}% +\special{pa 551 -25}\special{pa 551 -12}\special{pa 551 -0}% +\special{fp}% +\settowidth{\Width}{\rotatebox[units=-360,origin=c]{112}{$a$}}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{\rotatebox[units=-360,origin=c]{112}{$a$}}\settodepth{\Depth}{\rotatebox[units=-360,origin=c]{112}{$a$}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(4.5000000,2.7000000){\hspace*{\Width}\raisebox{\Height}{\rotatebox[units=-360,origin=c]{112}{$a$}}}% +% +\special{pa 1654 -1378}\special{pa 1645 -1369}\special{pa 1636 -1360}\special{pa 1628 -1351}% +\special{pa 1619 -1342}\special{pa 1611 -1333}\special{pa 1602 -1323}\special{pa 1594 -1314}% +\special{pa 1586 -1305}\special{pa 1577 -1296}\special{pa 1569 -1286}\special{pa 1561 -1277}% +\special{pa 1553 -1267}\special{pa 1545 -1257}\special{pa 1537 -1248}\special{pa 1529 -1238}% +\special{pa 1521 -1228}\special{pa 1514 -1219}\special{pa 1506 -1209}\special{pa 1498 -1199}% +\special{pa 1491 -1189}\special{pa 1483 -1179}\special{pa 1476 -1169}\special{pa 1469 -1159}% +\special{pa 1461 -1149}\special{pa 1454 -1139}\special{pa 1447 -1128}\special{pa 1440 -1118}% +\special{pa 1433 -1108}\special{pa 1426 -1097}\special{pa 1419 -1087}\special{pa 1412 -1076}% +\special{pa 1405 -1066}\special{pa 1399 -1055}\special{pa 1392 -1045}\special{pa 1386 -1034}% +\special{pa 1379 -1024}\special{pa 1373 -1013}\special{pa 1366 -1002}\special{pa 1360 -991}% +\special{pa 1354 -981}\special{pa 1348 -970}\special{pa 1342 -959}\special{pa 1336 -948}% +\special{pa 1330 -937}\special{pa 1324 -926}\special{pa 1318 -915}\special{pa 1313 -904}% +\special{pa 1307 -892}\special{pa 1301 -881}\special{pa 1296 -870}% +\special{fp}% +\special{pa 1194 -614}\special{pa 1190 -603}\special{pa 1186 -591}\special{pa 1183 -579}% +\special{pa 1179 -567}\special{pa 1176 -555}\special{pa 1172 -543}\special{pa 1169 -531}% +\special{pa 1166 -519}\special{pa 1163 -507}\special{pa 1160 -494}\special{pa 1157 -482}% +\special{pa 1154 -470}\special{pa 1151 -458}\special{pa 1148 -446}\special{pa 1145 -434}% +\special{pa 1143 -421}\special{pa 1140 -409}\special{pa 1138 -397}\special{pa 1136 -385}% +\special{pa 1133 -372}\special{pa 1131 -360}\special{pa 1129 -348}\special{pa 1127 -336}% +\special{pa 1125 -323}\special{pa 1123 -311}\special{pa 1121 -299}\special{pa 1120 -286}% +\special{pa 1118 -274}\special{pa 1116 -261}\special{pa 1115 -249}\special{pa 1114 -237}% +\special{pa 1112 -224}\special{pa 1111 -212}\special{pa 1110 -199}\special{pa 1109 -187}% +\special{pa 1108 -175}\special{pa 1107 -162}\special{pa 1106 -150}\special{pa 1105 -137}% +\special{pa 1105 -125}\special{pa 1104 -112}\special{pa 1104 -100}\special{pa 1103 -87}% +\special{pa 1103 -75}\special{pa 1102 -62}\special{pa 1102 -50}\special{pa 1102 -37}% +\special{pa 1102 -25}\special{pa 1102 -12}\special{pa 1102 0}% +\special{fp}% +\settowidth{\Width}{\rotatebox[units=-360,origin=c]{112}{$a$}}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{\rotatebox[units=-360,origin=c]{112}{$a$}}\settodepth{\Depth}{\rotatebox[units=-360,origin=c]{112}{$a$}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(6.5800000,2.9000000){\hspace*{\Width}\raisebox{\Height}{\rotatebox[units=-360,origin=c]{112}{$a$}}}% +% +\special{pa 2205 -1378}\special{pa 2196 -1369}\special{pa 2187 -1360}\special{pa 2179 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-162}\special{pa 1657 -150}\special{pa 1656 -137}% +\special{pa 1656 -125}\special{pa 1655 -112}\special{pa 1655 -100}\special{pa 1654 -87}% +\special{pa 1654 -75}\special{pa 1654 -62}\special{pa 1653 -50}\special{pa 1653 -37}% +\special{pa 1653 -25}\special{pa 1653 -12}\special{pa 1654 0}% +\special{fp}% +\settowidth{\Width}{no}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{no}\settodepth{\Depth}{no}\setlength{\Height}{-\Height}% +\put(-4.0000000,-0.0714286){\hspace*{\Width}\raisebox{\Height}{no}}% +% +\settowidth{\Width}{option}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{option}\settodepth{\Depth}{option}\setlength{\Height}{-\Height}% +\put(-4.0000000,-0.3571429){\hspace*{\Width}\raisebox{\Height}{option}}% +% +\settowidth{\Width}{t3n0}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{t3n0}\settodepth{\Depth}{t3n0}\setlength{\Height}{-\Height}% +\put(-2.0000000,-0.0714286){\hspace*{\Width}\raisebox{\Height}{t3n0}}% +% 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-\settoheight{\Height}{\rotatebox[origin=c]{59}{$a$}}\settodepth{\Depth}{\rotatebox[origin=c]{59}{$a$}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(2.0772,2.9286){\hspace*{\Width}\raisebox{\Height}{\rotatebox[origin=c]{59}{$a$}}}% -% -% -\settowidth{\Width}{\rotatebox[origin=c]{59}{$a$}}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{\rotatebox[origin=c]{59}{$a$}}\settodepth{\Depth}{\rotatebox[origin=c]{59}{$a$}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(4.9228,2.6714){\hspace*{\Width}\raisebox{\Height}{\rotatebox[origin=c]{59}{$a$}}}% -% -% -\settowidth{\Width}{\rotatebox[origin=c]{59}{$a$}}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{\rotatebox[origin=c]{59}{$a$}}\settodepth{\Depth}{\rotatebox[origin=c]{59}{$a$}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(7.8714,2.8772){\hspace*{\Width}\raisebox{\Height}{\rotatebox[origin=c]{59}{$a$}}}% -% -% -\settowidth{\Width}{\rotatebox[units=-360,origin=c]{121}{$a$}}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{\rotatebox[units=-360,origin=c]{121}{$a$}}\settodepth{\Depth}{\rotatebox[units=-360,origin=c]{121}{$a$}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(11.0000,2.8000){\hspace*{\Width}\raisebox{\Height}{\rotatebox[units=-360,origin=c]{121}{$a$}}}% -% -% -\settowidth{\Width}{\rotatebox[units=-360,origin=c]{121}{$a$}}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{\rotatebox[units=-360,origin=c]{121}{$a$}}\settodepth{\Depth}{\rotatebox[units=-360,origin=c]{121}{$a$}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(13.9228,2.6714){\hspace*{\Width}\raisebox{\Height}{\rotatebox[units=-360,origin=c]{121}{$a$}}}% -% -% -\settowidth{\Width}{rot}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{rot}\settodepth{\Depth}{rot}\setlength{\Height}{-\Height}% -\put(-2.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{rot}}% -% -% -\settowidth{\Width}{t3}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{t3}\settodepth{\Depth}{t3}\setlength{\Height}{-\Height}% -\put(1.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{t3}}% -% -% -\settowidth{\Width}{t-3}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{t-3}\settodepth{\Depth}{t-3}\setlength{\Height}{-\Height}% -\put(4.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{t-3}}% -% -% -\settowidth{\Width}{n3}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{n3}\settodepth{\Depth}{n3}\setlength{\Height}{-\Height}% -\put(7.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{n3}}% -% -% -\settowidth{\Width}{u}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{u}\settodepth{\Depth}{u}\setlength{\Height}{-\Height}% -\put(10.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{u}}% -% -% 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3047 -5409}\special{pa 2386 -5409}% +\special{pa 2386 -5220}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0.96,0,0,0}% +\special{pa 5457 -5220}\special{pa 6118 -5220}\special{pa 6118 -5409}\special{pa 5457 -5409}% +\special{pa 5457 -5220}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0,0.85,0.87,0.35}% +\special{pa 2386 -4984}\special{pa 3047 -4984}\special{pa 3047 -5173}\special{pa 2386 -5173}% +\special{pa 2386 -4984}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0.62,0,0.12,0}% +\special{pa 5457 -4984}\special{pa 6118 -4984}\special{pa 6118 -5173}\special{pa 5457 -5173}% +\special{pa 5457 -4984}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0,0.87,0.68,0.32}% +\special{pa 2386 -4748}\special{pa 3047 -4748}\special{pa 3047 -4937}\special{pa 2386 -4937}% +\special{pa 2386 -4748}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0.85,0,0.2,0}% +\special{pa 5457 -4748}\special{pa 6118 -4748}\special{pa 6118 -4937}\special{pa 5457 -4937}% +\special{pa 5457 -4748}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0,0.89,0.94,0.28}% +\special{pa 2386 -4512}\special{pa 3047 -4512}\special{pa 3047 -4701}\special{pa 2386 -4701}% +\special{pa 2386 -4512}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0.86,0,0.34,0.02}% +\special{pa 5457 -4512}\special{pa 6118 -4512}\special{pa 6118 -4701}\special{pa 5457 -4701}% +\special{pa 5457 -4512}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0,1,1,0}% +\special{pa 2386 -4276}\special{pa 3047 -4276}\special{pa 3047 -4465}\special{pa 2386 -4465}% +\special{pa 2386 -4276}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0.82,0,0.3,0}% +\special{pa 5457 -4276}\special{pa 6118 -4276}\special{pa 6118 -4465}\special{pa 5457 -4465}% +\special{pa 5457 -4276}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0,1,0.5,0}% +\special{pa 2386 -4039}\special{pa 3047 -4039}\special{pa 3047 -4228}\special{pa 2386 -4228}% +\special{pa 2386 -4039}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0.85,0,0.33,0}% +\special{pa 5457 -4039}\special{pa 6118 -4039}\special{pa 6118 -4228}\special{pa 5457 -4228}% +\special{pa 5457 -4039}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0,1,0.13,0}% +\special{pa 2386 -3803}\special{pa 3047 -3803}\special{pa 3047 -3992}\special{pa 2386 -3992}% +\special{pa 2386 -3803}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{1,0,0.5,0}% +\special{pa 5457 -3803}\special{pa 6118 -3803}\special{pa 6118 -3992}\special{pa 5457 -3992}% +\special{pa 5457 -3803}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0,0.96,0.39,0}% +\special{pa 2386 -3567}\special{pa 3047 -3567}\special{pa 3047 -3756}\special{pa 2386 -3756}% +\special{pa 2386 -3567}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0.99,0,0.52,0}% +\special{pa 5457 -3567}\special{pa 6118 -3567}\special{pa 6118 -3756}\special{pa 5457 -3756}% +\special{pa 5457 -3567}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0,0.53,0.38,0}% +\special{pa 2386 -3331}\special{pa 3047 -3331}\special{pa 3047 -3520}\special{pa 2386 -3520}% +\special{pa 2386 -3331}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0.69,0,0.5,0}% +\special{pa 5457 -3331}\special{pa 6118 -3331}\special{pa 6118 -3520}\special{pa 5457 -3520}% +\special{pa 5457 -3331}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0,0.63,0,0}% +\special{pa 2386 -3094}\special{pa 3047 -3094}\special{pa 3047 -3283}\special{pa 2386 -3283}% +\special{pa 2386 -3094}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{1,0,1,0}% +\special{pa 5457 -3094}\special{pa 6118 -3094}\special{pa 6118 -3283}\special{pa 5457 -3283}% +\special{pa 5457 -3094}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0,1,0,0}% +\special{pa 2386 -2858}\special{pa 3047 -2858}\special{pa 3047 -3047}\special{pa 2386 -3047}% +\special{pa 2386 -2858}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0.91,0,0.88,0.12}% +\special{pa 5457 -2858}\special{pa 6118 -2858}\special{pa 6118 -3047}\special{pa 5457 -3047}% +\special{pa 5457 -2858}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0,0.81,0,0}% +\special{pa 2386 -2622}\special{pa 3047 -2622}\special{pa 3047 -2811}\special{pa 2386 -2811}% +\special{pa 2386 -2622}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0.92,0,0.59,0.25}% +\special{pa 5457 -2622}\special{pa 6118 -2622}\special{pa 6118 -2811}\special{pa 5457 -2811}% +\special{pa 5457 -2622}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0,0.82,0,0}% +\special{pa 2386 -2386}\special{pa 3047 -2386}\special{pa 3047 -2575}\special{pa 2386 -2575}% +\special{pa 2386 -2386}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0.5,0,1,0}% +\special{pa 5457 -2386}\special{pa 6118 -2386}\special{pa 6118 -2575}\special{pa 5457 -2575}% +\special{pa 5457 -2386}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0.34,0.9,0,0.02}% +\special{pa 2386 -2150}\special{pa 3047 -2150}\special{pa 3047 -2339}\special{pa 2386 -2339}% +\special{pa 2386 -2150}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0.44,0,0.74,0}% +\special{pa 5457 -2150}\special{pa 6118 -2150}\special{pa 6118 -2339}\special{pa 5457 -2339}% +\special{pa 5457 -2150}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0.07,0.9,0,0.34}% +\special{pa 2386 -1913}\special{pa 3047 -1913}\special{pa 3047 -2102}\special{pa 2386 -2102}% +\special{pa 2386 -1913}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0.26,0,0.76,0}% +\special{pa 5457 -1913}\special{pa 6118 -1913}\special{pa 6118 -2102}\special{pa 5457 -2102}% +\special{pa 5457 -1913}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0.47,0.91,0,0.08}% +\special{pa 2386 -1677}\special{pa 3047 -1677}\special{pa 3047 -1866}\special{pa 2386 -1866}% +\special{pa 2386 -1677}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0.64,0,0.95,0.4}% +\special{pa 5457 -1677}\special{pa 6118 -1677}\special{pa 6118 -1866}\special{pa 5457 -1866}% +\special{pa 5457 -1677}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0,0.48,0,0}% +\special{pa 2386 -1441}\special{pa 3047 -1441}\special{pa 3047 -1630}\special{pa 2386 -1630}% +\special{pa 2386 -1441}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0,0.72,1,0.45}% +\special{pa 5457 -1441}\special{pa 6118 -1441}\special{pa 6118 -1630}\special{pa 5457 -1630}% +\special{pa 5457 -1441}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0.12,0.59,0,0}% +\special{pa 2386 -1205}\special{pa 3047 -1205}\special{pa 3047 -1394}\special{pa 2386 -1394}% +\special{pa 2386 -1205}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0,0.83,1,0.7}% +\special{pa 5457 -1205}\special{pa 6118 -1205}\special{pa 6118 -1394}\special{pa 5457 -1394}% +\special{pa 5457 -1205}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0.32,0.64,0,0}% +\special{pa 2386 -969}\special{pa 3047 -969}\special{pa 3047 -1157}\special{pa 2386 -1157}% +\special{pa 2386 -969}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0,0.81,1,0.6}% +\special{pa 5457 -969}\special{pa 6118 -969}\special{pa 6118 -1157}\special{pa 5457 -1157}% +\special{pa 5457 -969}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0.4,0.8,0.2,0}% +\special{pa 2386 -732}\special{pa 3047 -732}\special{pa 3047 -921}\special{pa 2386 -921}% +\special{pa 2386 -732}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0.14,0.42,0.56,0}% +\special{pa 5457 -732}\special{pa 6118 -732}\special{pa 6118 -921}\special{pa 5457 -921}% +\special{pa 5457 -732}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0.45,0.86,0,0}% +\special{pa 2386 -496}\special{pa 3047 -496}\special{pa 3047 -685}\special{pa 2386 -685}% +\special{pa 2386 -496}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0,0,0,0.5}% +\special{pa 5457 -496}\special{pa 6118 -496}\special{pa 6118 -685}\special{pa 5457 -685}% +\special{pa 5457 -496}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0.5,1,0,0}% +\special{pa 2386 -260}\special{pa 3047 -260}\special{pa 3047 -449}\special{pa 2386 -449}% +\special{pa 2386 -260}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0,0,0,1}% +\special{pa 5457 -260}\special{pa 6118 -260}\special{pa 6118 -449}\special{pa 5457 -449}% +\special{pa 5457 -260}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0.79,0.88,0,0}% +\special{pa 2386 -24}\special{pa 3047 -24}\special{pa 3047 -213}\special{pa 2386 -213}% +\special{pa 2386 -24}\special{sh 1}\special{ip}% +}% +{% +\color[cmyk]{0,0,0,0}% +\special{pa 5457 -24}\special{pa 6118 -24}\special{pa 6118 -213}\special{pa 5457 -213}% +\special{pa 5457 -24}\special{sh 1}\special{ip}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -8268}\special{pa 0 -0}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 1181 -8268}\special{pa 1181 -0}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 2362 -8268}\special{pa 2362 -0}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 3071 -8268}\special{pa 3071 -0}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -8268}\special{pa 3071 -8268}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -8031}\special{pa 3071 -8031}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -7795}\special{pa 3071 -7795}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -7559}\special{pa 3071 -7559}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -7323}\special{pa 3071 -7323}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -7087}\special{pa 3071 -7087}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -6850}\special{pa 3071 -6850}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -6614}\special{pa 3071 -6614}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -6378}\special{pa 3071 -6378}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -6142}\special{pa 3071 -6142}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -5906}\special{pa 3071 -5906}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -5669}\special{pa 3071 -5669}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -5433}\special{pa 3071 -5433}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -5197}\special{pa 3071 -5197}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -4961}\special{pa 3071 -4961}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -4724}\special{pa 3071 -4724}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -4488}\special{pa 3071 -4488}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -4252}\special{pa 3071 -4252}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -4016}\special{pa 3071 -4016}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -3780}\special{pa 3071 -3780}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -3543}\special{pa 3071 -3543}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -3307}\special{pa 3071 -3307}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -3071}\special{pa 3071 -3071}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -2835}\special{pa 3071 -2835}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -2598}\special{pa 3071 -2598}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -2362}\special{pa 3071 -2362}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -2126}\special{pa 3071 -2126}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -1890}\special{pa 3071 -1890}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -1654}\special{pa 3071 -1654}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -1417}\special{pa 3071 -1417}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -1181}\special{pa 3071 -1181}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -945}\special{pa 3071 -945}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -709}\special{pa 3071 -709}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -472}\special{pa 3071 -472}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -236}\special{pa 3071 -236}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -0}\special{pa 3071 -0}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -8268}\special{pa 0 -0}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 1181 -8268}\special{pa 1181 -0}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 2362 -8268}\special{pa 2362 -0}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 3071 -8268}\special{pa 3071 -0}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 4252 -8268}\special{pa 4252 -0}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 5433 -8268}\special{pa 5433 -0}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 6142 -8268}\special{pa 6142 -0}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -8268}\special{pa 6142 -8268}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -8031}\special{pa 6142 -8031}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -7795}\special{pa 6142 -7795}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -7559}\special{pa 6142 -7559}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -7323}\special{pa 6142 -7323}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -7087}\special{pa 6142 -7087}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -6850}\special{pa 6142 -6850}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -6614}\special{pa 6142 -6614}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -6378}\special{pa 6142 -6378}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -6142}\special{pa 6142 -6142}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -5906}\special{pa 6142 -5906}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -5669}\special{pa 6142 -5669}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -5433}\special{pa 6142 -5433}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -5197}\special{pa 6142 -5197}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -4961}\special{pa 6142 -4961}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -4724}\special{pa 6142 -4724}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -4488}\special{pa 6142 -4488}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -4252}\special{pa 6142 -4252}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -4016}\special{pa 6142 -4016}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -3780}\special{pa 6142 -3780}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -3543}\special{pa 6142 -3543}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -3307}\special{pa 6142 -3307}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -3071}\special{pa 6142 -3071}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -2835}\special{pa 6142 -2835}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -2598}\special{pa 6142 -2598}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -2362}\special{pa 6142 -2362}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -2126}\special{pa 6142 -2126}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -1890}\special{pa 6142 -1890}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -1654}\special{pa 6142 -1654}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -1417}\special{pa 6142 -1417}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -1181}\special{pa 6142 -1181}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -945}\special{pa 6142 -945}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -709}\special{pa 6142 -709}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -472}\special{pa 6142 -472}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -236}\special{pa 6142 -236}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -0}\special{pa 6142 -0}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 3083 -8268}\special{pa 3083 -0}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\special{pa 0 -8043}\special{pa 6142 -8043}% +\special{fp}% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{name}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{name}\settodepth{\Depth}{name}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(2.5000000,34.5000000){\hspace*{\Width}\raisebox{\Height}{name}}% +% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{CMYK}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{CMYK}\settodepth{\Depth}{CMYK}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(7.5000000,34.5000000){\hspace*{\Width}\raisebox{\Height}{CMYK}}% +% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{Color}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{Color}\settodepth{\Depth}{Color}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(11.5000000,34.5000000){\hspace*{\Width}\raisebox{\Height}{Color}}% +% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{name}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{name}\settodepth{\Depth}{name}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(15.5000000,34.5000000){\hspace*{\Width}\raisebox{\Height}{name}}% +% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{CMYK}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{CMYK}\settodepth{\Depth}{CMYK}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(20.5000000,34.5000000){\hspace*{\Width}\raisebox{\Height}{CMYK}}% +% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{Color}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{Color}\settodepth{\Depth}{Color}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(24.5000000,34.5000000){\hspace*{\Width}\raisebox{\Height}{Color}}% +% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{greenyellow}\setlength{\Width}{-0.5\Width}% 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+\put(20.5000000,31.5000000){\hspace*{\Width}\raisebox{\Height}{[0.57,0.55,0,0]}}% +% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{dandelion}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{dandelion}\settodepth{\Depth}{dandelion}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(2.5000000,30.5000000){\hspace*{\Width}\raisebox{\Height}{dandelion}}% +% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{[0,0.29,0.84,0]}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{[0,0.29,0.84,0]}\settodepth{\Depth}{[0,0.29,0.84,0]}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(7.5000000,30.5000000){\hspace*{\Width}\raisebox{\Height}{[0,0.29,0.84,0]}}% +% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{cadetblue}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{cadetblue}\settodepth{\Depth}{cadetblue}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(15.5000000,30.5000000){\hspace*{\Width}\raisebox{\Height}{cadetblue}}% +% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{[0.62,0.57,0.23,0]}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{[0.62,0.57,0.23,0]}\settodepth{\Depth}{[0.62,0.57,0.23,0]}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(20.5000000,30.5000000){\hspace*{\Width}\raisebox{\Height}{[0.62,0.57,0.23,0]}}% +% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{apricot}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{apricot}\settodepth{\Depth}{apricot}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(2.5000000,29.5000000){\hspace*{\Width}\raisebox{\Height}{apricot}}% +% +}% +{% +\color[rgb]{0,0,0}% 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+\put(20.5000000,29.5000000){\hspace*{\Width}\raisebox{\Height}{[0.65,0.13,0,0]}}% +% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{peach}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{peach}\settodepth{\Depth}{peach}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(2.5000000,28.5000000){\hspace*{\Width}\raisebox{\Height}{peach}}% +% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{[0,0.5,0.7,0]}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{[0,0.5,0.7,0]}\settodepth{\Depth}{[0,0.5,0.7,0]}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(7.5000000,28.5000000){\hspace*{\Width}\raisebox{\Height}{[0,0.5,0.7,0]}}% +% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{midnightblue}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{midnightblue}\settodepth{\Depth}{midnightblue}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(15.5000000,28.5000000){\hspace*{\Width}\raisebox{\Height}{midnightblue}}% +% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{[0.98,0.13,0,0.43]}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{[0.98,0.13,0,0.43]}\settodepth{\Depth}{[0.98,0.13,0,0.43]}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(20.5000000,28.5000000){\hspace*{\Width}\raisebox{\Height}{[0.98,0.13,0,0.43]}}% +% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{melon}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{melon}\settodepth{\Depth}{melon}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(2.5000000,27.5000000){\hspace*{\Width}\raisebox{\Height}{melon}}% +% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{[0,0.46,0.5,0]}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{[0,0.46,0.5,0]}\settodepth{\Depth}{[0,0.46,0.5,0]}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(7.5000000,27.5000000){\hspace*{\Width}\raisebox{\Height}{[0,0.46,0.5,0]}}% +% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{navyblue}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{navyblue}\settodepth{\Depth}{navyblue}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(15.5000000,27.5000000){\hspace*{\Width}\raisebox{\Height}{navyblue}}% +% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{[0.94,0.54,0,0]}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{[0.94,0.54,0,0]}\settodepth{\Depth}{[0.94,0.54,0,0]}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(20.5000000,27.5000000){\hspace*{\Width}\raisebox{\Height}{[0.94,0.54,0,0]}}% +% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{yelloworange}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{yelloworange}\settodepth{\Depth}{yelloworange}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(2.5000000,26.5000000){\hspace*{\Width}\raisebox{\Height}{yelloworange}}% +% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{[0,0.42,1,0]}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{[0,0.42,1,0]}\settodepth{\Depth}{[0,0.42,1,0]}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(7.5000000,26.5000000){\hspace*{\Width}\raisebox{\Height}{[0,0.42,1,0]}}% +% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{royalblue}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{royalblue}\settodepth{\Depth}{royalblue}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(15.5000000,26.5000000){\hspace*{\Width}\raisebox{\Height}{royalblue}}% +% +}% +{% 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+\settowidth{\Width}{[0,0,0,1]}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{[0,0,0,1]}\settodepth{\Depth}{[0,0,0,1]}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(20.5000000,1.5000000){\hspace*{\Width}\raisebox{\Height}{[0,0,0,1]}}% +% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{violet}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{violet}\settodepth{\Depth}{violet}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(2.5000000,0.5000000){\hspace*{\Width}\raisebox{\Height}{violet}}% +% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{[0.79,0.88,0,0]}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{[0.79,0.88,0,0]}\settodepth{\Depth}{[0.79,0.88,0,0]}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(7.5000000,0.5000000){\hspace*{\Width}\raisebox{\Height}{[0.79,0.88,0,0]}}% +% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{white}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{white}\settodepth{\Depth}{white}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(15.5000000,0.5000000){\hspace*{\Width}\raisebox{\Height}{white}}% +% +}% +{% +\color[rgb]{0,0,0}% +\settowidth{\Width}{[0,0,0,0]}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{[0,0,0,0]}\settodepth{\Depth}{[0,0,0,0]}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(20.5000000,0.5000000){\hspace*{\Width}\raisebox{\Height}{[0,0,0,0]}}% +% +}% +\end{picture}}%
\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortable1-34.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortable1-34.tex deleted file mode 100644 index 0138da07bd0..00000000000 --- a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortable1-34.tex +++ /dev/null @@ -1,1936 +0,0 @@ -%%% colortable1-34.tex 2015-2-8 17:25 -%%% colortable1-34.sce 2015-2-8 17:25 -{\unitlength=1cm% -\begin{picture}% -( 15.00000, 17.50000)( -0.00000, -0.00000)% -\special{pn 8}% -% -\color[cmyk]{0.15,0,0.69,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,16.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -6693}\special{pa 4626 -6496}\special{pa 5906 -6496}\special{pa 5906 -6693}% -\special{pa 4626 -6693}\special{sh 1}\special{ip}% -\color[cmyk]{0,0,1,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,16.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -6496}\special{pa 4626 -6299}\special{pa 5906 -6299}\special{pa 5906 -6496}% -\special{pa 4626 -6496}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.1,0.84,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,15.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -6299}\special{pa 4626 -6102}\special{pa 5906 -6102}\special{pa 5906 -6299}% -\special{pa 4626 -6299}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.29,0.84,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,15.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -6102}\special{pa 4626 -5906}\special{pa 5906 -5906}\special{pa 5906 -6102}% -\special{pa 4626 -6102}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.32,0.52,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,14.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -5906}\special{pa 4626 -5709}\special{pa 5906 -5709}\special{pa 5906 -5906}% -\special{pa 4626 -5906}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.5,0.7,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,14.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -5709}\special{pa 4626 -5512}\special{pa 5906 -5512}\special{pa 5906 -5709}% -\special{pa 4626 -5709}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.46,0.5,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,13.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -5512}\special{pa 4626 -5315}\special{pa 5906 -5315}\special{pa 5906 -5512}% -\special{pa 4626 -5512}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.42,1,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,13.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -5315}\special{pa 4626 -5118}\special{pa 5906 -5118}\special{pa 5906 -5315}% -\special{pa 4626 -5315}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.61,0.87,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,12.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -5118}\special{pa 4626 -4921}\special{pa 5906 -4921}\special{pa 5906 -5118}% -\special{pa 4626 -5118}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.51,1,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,12.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -4921}\special{pa 4626 -4724}\special{pa 5906 -4724}\special{pa 5906 -4921}% -\special{pa 4626 -4921}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.75,1,0.24}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,11.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -4724}\special{pa 4626 -4528}\special{pa 5906 -4528}\special{pa 5906 -4724}% -\special{pa 4626 -4724}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.77,0.87,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,11.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -4528}\special{pa 4626 -4331}\special{pa 5906 -4331}\special{pa 5906 -4528}% -\special{pa 4626 -4528}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.85,0.87,0.35}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,10.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -4331}\special{pa 4626 -4134}\special{pa 5906 -4134}\special{pa 5906 -4331}% -\special{pa 4626 -4331}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.87,0.68,0.32}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,10.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -4134}\special{pa 4626 -3937}\special{pa 5906 -3937}\special{pa 5906 -4134}% -\special{pa 4626 -4134}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.89,0.94,0.28}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,9.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -3937}\special{pa 4626 -3740}\special{pa 5906 -3740}\special{pa 5906 -3937}% -\special{pa 4626 -3937}\special{sh 1}\special{ip}% -\color[cmyk]{0,1,1,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,9.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -3740}\special{pa 4626 -3543}\special{pa 5906 -3543}\special{pa 5906 -3740}% -\special{pa 4626 -3740}\special{sh 1}\special{ip}% -\color[cmyk]{0,1,0.5,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,8.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -3543}\special{pa 4626 -3346}\special{pa 5906 -3346}\special{pa 5906 -3543}% -\special{pa 4626 -3543}\special{sh 1}\special{ip}% -\color[cmyk]{0,1,0.13,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,8.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -3346}\special{pa 4626 -3150}\special{pa 5906 -3150}\special{pa 5906 -3346}% -\special{pa 4626 -3346}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.96,0.39,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,7.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -3150}\special{pa 4626 -2953}\special{pa 5906 -2953}\special{pa 5906 -3150}% -\special{pa 4626 -3150}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.53,0.38,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,7.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -2953}\special{pa 4626 -2756}\special{pa 5906 -2756}\special{pa 5906 -2953}% -\special{pa 4626 -2953}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.63,0,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,6.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -2756}\special{pa 4626 -2559}\special{pa 5906 -2559}\special{pa 5906 -2756}% -\special{pa 4626 -2756}\special{sh 1}\special{ip}% -\color[cmyk]{0,1,0,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,6.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -2559}\special{pa 4626 -2362}\special{pa 5906 -2362}\special{pa 5906 -2559}% -\special{pa 4626 -2559}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.81,0,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,5.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -2362}\special{pa 4626 -2165}\special{pa 5906 -2165}\special{pa 5906 -2362}% -\special{pa 4626 -2362}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.82,0,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,5.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -2165}\special{pa 4626 -1969}\special{pa 5906 -1969}\special{pa 5906 -2165}% -\special{pa 4626 -2165}\special{sh 1}\special{ip}% -\color[cmyk]{0.34,0.9,0,0.02}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,4.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -1969}\special{pa 4626 -1772}\special{pa 5906 -1772}\special{pa 5906 -1969}% -\special{pa 4626 -1969}\special{sh 1}\special{ip}% -\color[cmyk]{0.07,0.9,0,0.34}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,4.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -1772}\special{pa 4626 -1575}\special{pa 5906 -1575}\special{pa 5906 -1772}% -\special{pa 4626 -1772}\special{sh 1}\special{ip}% -\color[cmyk]{0.47,0.91,0,0.08}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,3.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -1575}\special{pa 4626 -1378}\special{pa 5906 -1378}\special{pa 5906 -1575}% -\special{pa 4626 -1575}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.48,0,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,3.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -1378}\special{pa 4626 -1181}\special{pa 5906 -1181}\special{pa 5906 -1378}% -\special{pa 4626 -1378}\special{sh 1}\special{ip}% -\color[cmyk]{0.12,0.59,0,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,2.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -1181}\special{pa 4626 -984}\special{pa 5906 -984}\special{pa 5906 -1181}% -\special{pa 4626 -1181}\special{sh 1}\special{ip}% -\color[cmyk]{0.32,0.64,0,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,2.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -984}\special{pa 4626 -787}\special{pa 5906 -787}\special{pa 5906 -984}% -\special{pa 4626 -984}\special{sh 1}\special{ip}% -\color[cmyk]{0.4,0.8,0.2,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,1.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -787}\special{pa 4626 -591}\special{pa 5906 -591}\special{pa 5906 -787}% -\special{pa 4626 -787}\special{sh 1}\special{ip}% -\color[cmyk]{0.45,0.86,0,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,1.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -591}\special{pa 4626 -394}\special{pa 5906 -394}\special{pa 5906 -591}% -\special{pa 4626 -591}\special{sh 1}\special{ip}% -\color[cmyk]{0.5,1,0,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,0.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -394}\special{pa 4626 -197}\special{pa 5906 -197}\special{pa 5906 -394}% -\special{pa 4626 -394}\special{sh 1}\special{ip}% -\color[cmyk]{0.79,0.88,0,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,0.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -197}\special{pa 4626 0}\special{pa 5906 0}\special{pa 5906 -197}% -\special{pa 4626 -197}\special{sh 1}\special{ip}% -\color[cmyk]{0,0,0,1}% -\special{pa 0 -6890}\special{pa 1083 -6890}% -\special{fp}% -\special{pa 1083 -6890}\special{pa 2461 -6890}% -\special{fp}% -\special{pa 2461 -6890}\special{pa 3839 -6890}% -\special{fp}% -\special{pa 3839 -6890}\special{pa 4626 -6890}% -\special{fp}% -\special{pa 4626 -6890}\special{pa 5906 -6890}% -\special{fp}% -\special{pa 0 -6693}\special{pa 1083 -6693}% -\special{fp}% -\special{pa 1083 -6693}\special{pa 2461 -6693}% -\special{fp}% -\special{pa 2461 -6693}\special{pa 3839 -6693}% -\special{fp}% -\special{pa 3839 -6693}\special{pa 4626 -6693}% -\special{fp}% -\special{pa 4626 -6693}\special{pa 5906 -6693}% -\special{fp}% -\special{pa 0 -6496}\special{pa 1083 -6496}% -\special{fp}% -\special{pa 1083 -6496}\special{pa 2461 -6496}% -\special{fp}% -\special{pa 2461 -6496}\special{pa 3839 -6496}% -\special{fp}% -\special{pa 3839 -6496}\special{pa 4626 -6496}% -\special{fp}% -\special{pa 4626 -6496}\special{pa 5906 -6496}% -\special{fp}% -\special{pa 0 -6299}\special{pa 1083 -6299}% -\special{fp}% -\special{pa 1083 -6299}\special{pa 2461 -6299}% -\special{fp}% -\special{pa 2461 -6299}\special{pa 3839 -6299}% -\special{fp}% -\special{pa 3839 -6299}\special{pa 4626 -6299}% -\special{fp}% -\special{pa 4626 -6299}\special{pa 5906 -6299}% -\special{fp}% -\special{pa 0 -6102}\special{pa 1083 -6102}% -\special{fp}% -\special{pa 1083 -6102}\special{pa 2461 -6102}% -\special{fp}% -\special{pa 2461 -6102}\special{pa 3839 -6102}% -\special{fp}% -\special{pa 3839 -6102}\special{pa 4626 -6102}% -\special{fp}% -\special{pa 4626 -6102}\special{pa 5906 -6102}% -\special{fp}% -\special{pa 0 -5906}\special{pa 1083 -5906}% -\special{fp}% -\special{pa 1083 -5906}\special{pa 2461 -5906}% -\special{fp}% -\special{pa 2461 -5906}\special{pa 3839 -5906}% -\special{fp}% -\special{pa 3839 -5906}\special{pa 4626 -5906}% -\special{fp}% -\special{pa 4626 -5906}\special{pa 5906 -5906}% -\special{fp}% -\special{pa 0 -5709}\special{pa 1083 -5709}% -\special{fp}% -\special{pa 1083 -5709}\special{pa 2461 -5709}% -\special{fp}% -\special{pa 2461 -5709}\special{pa 3839 -5709}% -\special{fp}% -\special{pa 3839 -5709}\special{pa 4626 -5709}% -\special{fp}% -\special{pa 4626 -5709}\special{pa 5906 -5709}% -\special{fp}% -\special{pa 0 -5512}\special{pa 1083 -5512}% -\special{fp}% -\special{pa 1083 -5512}\special{pa 2461 -5512}% -\special{fp}% -\special{pa 2461 -5512}\special{pa 3839 -5512}% -\special{fp}% -\special{pa 3839 -5512}\special{pa 4626 -5512}% -\special{fp}% -\special{pa 4626 -5512}\special{pa 5906 -5512}% -\special{fp}% -\special{pa 0 -5315}\special{pa 1083 -5315}% -\special{fp}% -\special{pa 1083 -5315}\special{pa 2461 -5315}% -\special{fp}% -\special{pa 2461 -5315}\special{pa 3839 -5315}% -\special{fp}% -\special{pa 3839 -5315}\special{pa 4626 -5315}% -\special{fp}% -\special{pa 4626 -5315}\special{pa 5906 -5315}% -\special{fp}% -\special{pa 0 -5118}\special{pa 1083 -5118}% -\special{fp}% -\special{pa 1083 -5118}\special{pa 2461 -5118}% -\special{fp}% -\special{pa 2461 -5118}\special{pa 3839 -5118}% -\special{fp}% -\special{pa 3839 -5118}\special{pa 4626 -5118}% -\special{fp}% -\special{pa 4626 -5118}\special{pa 5906 -5118}% -\special{fp}% -\special{pa 0 -4921}\special{pa 1083 -4921}% -\special{fp}% -\special{pa 1083 -4921}\special{pa 2461 -4921}% -\special{fp}% -\special{pa 2461 -4921}\special{pa 3839 -4921}% -\special{fp}% -\special{pa 3839 -4921}\special{pa 4626 -4921}% -\special{fp}% -\special{pa 4626 -4921}\special{pa 5906 -4921}% -\special{fp}% -\special{pa 0 -4724}\special{pa 1083 -4724}% -\special{fp}% -\special{pa 1083 -4724}\special{pa 2461 -4724}% -\special{fp}% -\special{pa 2461 -4724}\special{pa 3839 -4724}% -\special{fp}% -\special{pa 3839 -4724}\special{pa 4626 -4724}% -\special{fp}% -\special{pa 4626 -4724}\special{pa 5906 -4724}% -\special{fp}% -\special{pa 0 -4528}\special{pa 1083 -4528}% -\special{fp}% -\special{pa 1083 -4528}\special{pa 2461 -4528}% -\special{fp}% -\special{pa 2461 -4528}\special{pa 3839 -4528}% -\special{fp}% -\special{pa 3839 -4528}\special{pa 4626 -4528}% -\special{fp}% -\special{pa 4626 -4528}\special{pa 5906 -4528}% -\special{fp}% -\special{pa 0 -4331}\special{pa 1083 -4331}% -\special{fp}% -\special{pa 1083 -4331}\special{pa 2461 -4331}% -\special{fp}% -\special{pa 2461 -4331}\special{pa 3839 -4331}% -\special{fp}% -\special{pa 3839 -4331}\special{pa 4626 -4331}% -\special{fp}% -\special{pa 4626 -4331}\special{pa 5906 -4331}% -\special{fp}% -\special{pa 0 -4134}\special{pa 1083 -4134}% -\special{fp}% -\special{pa 1083 -4134}\special{pa 2461 -4134}% -\special{fp}% -\special{pa 2461 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\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortable35-68.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortable35-68.tex deleted file mode 100644 index c89b555d804..00000000000 --- a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortable35-68.tex +++ /dev/null @@ -1,1934 +0,0 @@ -%%% colortable35-68.tex 2015-2-6 18:34 -%%% colortable35-68.sce 2015-2-6 18:29 -{\unitlength=1cm% -\begin{picture}% -( 15.00000, 17.50000)( -0.00000, -0.00000)% -\special{pn 8}% -% -\color[cmyk]{0.75,0.9,0,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,16.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -6693}\special{pa 4626 -6496}\special{pa 5906 -6496}\special{pa 5906 -6693}% -\special{pa 4626 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-\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,13.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -5315}\special{pa 4626 -5118}\special{pa 5906 -5118}\special{pa 5906 -5315}% -\special{pa 4626 -5315}\special{sh 1}\special{ip}% -\color[cmyk]{1,1,0,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,12.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -5118}\special{pa 4626 -4921}\special{pa 5906 -4921}\special{pa 5906 -5118}% -\special{pa 4626 -5118}\special{sh 1}\special{ip}% -\color[cmyk]{0.94,0.11,0,0}% 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-\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,10.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -4134}\special{pa 4626 -3937}\special{pa 5906 -3937}\special{pa 5906 -4134}% -\special{pa 4626 -4134}\special{sh 1}\special{ip}% -\color[cmyk]{0.86,0,0.34,0.02}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,9.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -3937}\special{pa 4626 -3740}\special{pa 5906 -3740}\special{pa 5906 -3937}% -\special{pa 4626 -3937}\special{sh 1}\special{ip}% -\color[cmyk]{0.82,0,0.3,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,9.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -3740}\special{pa 4626 -3543}\special{pa 5906 -3543}\special{pa 5906 -3740}% -\special{pa 4626 -3740}\special{sh 1}\special{ip}% -\color[cmyk]{0.85,0,0.33,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,8.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -3543}\special{pa 4626 -3346}\special{pa 5906 -3346}\special{pa 5906 -3543}% -\special{pa 4626 -3543}\special{sh 1}\special{ip}% -\color[cmyk]{1,0,0.5,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,8.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -3346}\special{pa 4626 -3150}\special{pa 5906 -3150}\special{pa 5906 -3346}% -\special{pa 4626 -3346}\special{sh 1}\special{ip}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,7.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -3150}\special{pa 4626 -2953}\special{pa 5906 -2953}\special{pa 5906 -3150}% -\special{pa 4626 -3150}\special{sh 1}\special{ip}% -\color[cmyk]{0.69,0,0.5,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,7.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -2953}\special{pa 4626 -2756}\special{pa 5906 -2756}\special{pa 5906 -2953}% -\special{pa 4626 -2953}\special{sh 1}\special{ip}% -\color[cmyk]{1,0,1,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,6.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -2756}\special{pa 4626 -2559}\special{pa 5906 -2559}\special{pa 5906 -2756}% -\special{pa 4626 -2756}\special{sh 1}\special{ip}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,6.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -2559}\special{pa 4626 -2362}\special{pa 5906 -2362}\special{pa 5906 -2559}% -\special{pa 4626 -2559}\special{sh 1}\special{ip}% -\color[cmyk]{0.92,0,0.59,0.25}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,5.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -2362}\special{pa 4626 -2165}\special{pa 5906 -2165}\special{pa 5906 -2362}% -\special{pa 4626 -2362}\special{sh 1}\special{ip}% -\color[cmyk]{0.5,0,1,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,5.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -2165}\special{pa 4626 -1969}\special{pa 5906 -1969}\special{pa 5906 -2165}% -\special{pa 4626 -2165}\special{sh 1}\special{ip}% -\color[cmyk]{0.44,0,0.74,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,4.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -1969}\special{pa 4626 -1772}\special{pa 5906 -1772}\special{pa 5906 -1969}% -\special{pa 4626 -1969}\special{sh 1}\special{ip}% -\color[cmyk]{0.26,0,0.76,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,4.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -1772}\special{pa 4626 -1575}\special{pa 5906 -1575}\special{pa 5906 -1772}% -\special{pa 4626 -1772}\special{sh 1}\special{ip}% -\color[cmyk]{0.64,0,0.95,0.4}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,3.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -1575}\special{pa 4626 -1378}\special{pa 5906 -1378}\special{pa 5906 -1575}% -\special{pa 4626 -1575}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.72,1,0.45}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,3.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -1378}\special{pa 4626 -1181}\special{pa 5906 -1181}\special{pa 5906 -1378}% -\special{pa 4626 -1378}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.83,1,0.7}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,2.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -1181}\special{pa 4626 -984}\special{pa 5906 -984}\special{pa 5906 -1181}% -\special{pa 4626 -1181}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.81,1,0.6}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,2.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -984}\special{pa 4626 -787}\special{pa 5906 -787}\special{pa 5906 -984}% -\special{pa 4626 -984}\special{sh 1}\special{ip}% -\color[cmyk]{0.14,0.42,0.56,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,1.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -787}\special{pa 4626 -591}\special{pa 5906 -591}\special{pa 5906 -787}% -\special{pa 4626 -787}\special{sh 1}\special{ip}% -\color[cmyk]{0,0,0,0.5}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,1.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -591}\special{pa 4626 -394}\special{pa 5906 -394}\special{pa 5906 -591}% -\special{pa 4626 -591}\special{sh 1}\special{ip}% -\color[cmyk]{0,0,0,1}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,0.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -394}\special{pa 4626 -197}\special{pa 5906 -197}\special{pa 5906 -394}% -\special{pa 4626 -394}\special{sh 1}\special{ip}% -\color[cmyk]{0,0,0,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,0.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -197}\special{pa 4626 0}\special{pa 5906 0}\special{pa 5906 -197}% -\special{pa 4626 -197}\special{sh 1}\special{ip}% -\color[cmyk]{0,0,0,1}% -\special{pa 0 -6890}\special{pa 1083 -6890}% -\special{fp}% -\special{pa 1083 -6890}\special{pa 2461 -6890}% -\special{fp}% -\special{pa 2461 -6890}\special{pa 3839 -6890}% -\special{fp}% -\special{pa 3839 -6890}\special{pa 4626 -6890}% -\special{fp}% -\special{pa 4626 -6890}\special{pa 5906 -6890}% -\special{fp}% -\special{pa 0 -6693}\special{pa 1083 -6693}% -\special{fp}% -\special{pa 1083 -6693}\special{pa 2461 -6693}% -\special{fp}% -\special{pa 2461 -6693}\special{pa 3839 -6693}% -\special{fp}% -\special{pa 3839 -6693}\special{pa 4626 -6693}% -\special{fp}% -\special{pa 4626 -6693}\special{pa 5906 -6693}% -\special{fp}% -\special{pa 0 -6496}\special{pa 1083 -6496}% -\special{fp}% -\special{pa 1083 -6496}\special{pa 2461 -6496}% -\special{fp}% -\special{pa 2461 -6496}\special{pa 3839 -6496}% -\special{fp}% -\special{pa 3839 -6496}\special{pa 4626 -6496}% -\special{fp}% -\special{pa 4626 -6496}\special{pa 5906 -6496}% -\special{fp}% -\special{pa 0 -6299}\special{pa 1083 -6299}% -\special{fp}% -\special{pa 1083 -6299}\special{pa 2461 -6299}% -\special{fp}% -\special{pa 2461 -6299}\special{pa 3839 -6299}% -\special{fp}% -\special{pa 3839 -6299}\special{pa 4626 -6299}% -\special{fp}% -\special{pa 4626 -6299}\special{pa 5906 -6299}% -\special{fp}% -\special{pa 0 -6102}\special{pa 1083 -6102}% -\special{fp}% -\special{pa 1083 -6102}\special{pa 2461 -6102}% -\special{fp}% -\special{pa 2461 -6102}\special{pa 3839 -6102}% -\special{fp}% -\special{pa 3839 -6102}\special{pa 4626 -6102}% -\special{fp}% -\special{pa 4626 -6102}\special{pa 5906 -6102}% -\special{fp}% -\special{pa 0 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-% -% -\settowidth{\Width}{white}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{white}\settodepth{\Depth}{white}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(4.5000,0.2500){\hspace*{\Width}\raisebox{\Height}{white}}% -% -% -\settowidth{\Width}{[0,0,0,0]}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{[0,0,0,0]}\settodepth{\Depth}{[0,0,0,0]}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(8.0000,0.2500){\hspace*{\Width}\raisebox{\Height}{[0,0,0,0]}}% -% -% -\settowidth{\Width}{}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{}\settodepth{\Depth}{}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,0.2500){\hspace*{\Width}\raisebox{\Height}{}}% -% -% -\settowidth{\Width}{}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{}\settodepth{\Depth}{}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(13.3800,0.2500){\hspace*{\Width}\raisebox{\Height}{}}% -% -% -\end{picture}}%
\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortablee1-34.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortablee1-34.tex deleted file mode 100644 index 0ee3653ac34..00000000000 --- a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortablee1-34.tex +++ /dev/null @@ -1,1936 +0,0 @@ -%%% colortable1-34.tex 2015-2-8 17:25 -%%% colortable1-34.sce 2015-2-8 17:25 -{\unitlength=1cm% -\begin{picture}% -( 15.00000, 17.50000)( -0.00000, -0.00000)% -\special{pn 8}% -% -\color[cmyk]{0.15,0,0.69,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,16.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -6693}\special{pa 4626 -6496}\special{pa 5906 -6496}\special{pa 5906 -6693}% -\special{pa 4626 -6693}\special{sh 1}\special{ip}% -\color[cmyk]{0,0,1,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,16.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -6496}\special{pa 4626 -6299}\special{pa 5906 -6299}\special{pa 5906 -6496}% -\special{pa 4626 -6496}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.1,0.84,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,15.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -6299}\special{pa 4626 -6102}\special{pa 5906 -6102}\special{pa 5906 -6299}% -\special{pa 4626 -6299}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.29,0.84,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,15.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -6102}\special{pa 4626 -5906}\special{pa 5906 -5906}\special{pa 5906 -6102}% -\special{pa 4626 -6102}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.32,0.52,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,14.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -5906}\special{pa 4626 -5709}\special{pa 5906 -5709}\special{pa 5906 -5906}% -\special{pa 4626 -5906}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.5,0.7,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,14.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -5709}\special{pa 4626 -5512}\special{pa 5906 -5512}\special{pa 5906 -5709}% -\special{pa 4626 -5709}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.46,0.5,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,13.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -5512}\special{pa 4626 -5315}\special{pa 5906 -5315}\special{pa 5906 -5512}% -\special{pa 4626 -5512}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.42,1,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,13.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -5315}\special{pa 4626 -5118}\special{pa 5906 -5118}\special{pa 5906 -5315}% -\special{pa 4626 -5315}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.61,0.87,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,12.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -5118}\special{pa 4626 -4921}\special{pa 5906 -4921}\special{pa 5906 -5118}% -\special{pa 4626 -5118}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.51,1,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,12.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -4921}\special{pa 4626 -4724}\special{pa 5906 -4724}\special{pa 5906 -4921}% -\special{pa 4626 -4921}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.75,1,0.24}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,11.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -4724}\special{pa 4626 -4528}\special{pa 5906 -4528}\special{pa 5906 -4724}% -\special{pa 4626 -4724}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.77,0.87,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,11.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -4528}\special{pa 4626 -4331}\special{pa 5906 -4331}\special{pa 5906 -4528}% -\special{pa 4626 -4528}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.85,0.87,0.35}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,10.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -4331}\special{pa 4626 -4134}\special{pa 5906 -4134}\special{pa 5906 -4331}% -\special{pa 4626 -4331}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.87,0.68,0.32}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,10.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -4134}\special{pa 4626 -3937}\special{pa 5906 -3937}\special{pa 5906 -4134}% -\special{pa 4626 -4134}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.89,0.94,0.28}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,9.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -3937}\special{pa 4626 -3740}\special{pa 5906 -3740}\special{pa 5906 -3937}% -\special{pa 4626 -3937}\special{sh 1}\special{ip}% -\color[cmyk]{0,1,1,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,9.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -3740}\special{pa 4626 -3543}\special{pa 5906 -3543}\special{pa 5906 -3740}% -\special{pa 4626 -3740}\special{sh 1}\special{ip}% -\color[cmyk]{0,1,0.5,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,8.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -3543}\special{pa 4626 -3346}\special{pa 5906 -3346}\special{pa 5906 -3543}% -\special{pa 4626 -3543}\special{sh 1}\special{ip}% -\color[cmyk]{0,1,0.13,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,8.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -3346}\special{pa 4626 -3150}\special{pa 5906 -3150}\special{pa 5906 -3346}% -\special{pa 4626 -3346}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.96,0.39,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,7.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -3150}\special{pa 4626 -2953}\special{pa 5906 -2953}\special{pa 5906 -3150}% -\special{pa 4626 -3150}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.53,0.38,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,7.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -2953}\special{pa 4626 -2756}\special{pa 5906 -2756}\special{pa 5906 -2953}% -\special{pa 4626 -2953}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.63,0,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,6.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -2756}\special{pa 4626 -2559}\special{pa 5906 -2559}\special{pa 5906 -2756}% -\special{pa 4626 -2756}\special{sh 1}\special{ip}% -\color[cmyk]{0,1,0,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,6.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -2559}\special{pa 4626 -2362}\special{pa 5906 -2362}\special{pa 5906 -2559}% -\special{pa 4626 -2559}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.81,0,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,5.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -2362}\special{pa 4626 -2165}\special{pa 5906 -2165}\special{pa 5906 -2362}% -\special{pa 4626 -2362}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.82,0,0}% 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-\settoheight{\Height}{[0.79,0.88,0,0]}\settodepth{\Depth}{[0.79,0.88,0,0]}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(8.0000,0.2500){\hspace*{\Width}\raisebox{\Height}{[0.79,0.88,0,0]}}% -% -% -\settowidth{\Width}{}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{}\settodepth{\Depth}{}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,0.2500){\hspace*{\Width}\raisebox{\Height}{}}% -% -% -\settowidth{\Width}{}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{}\settodepth{\Depth}{}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(13.3800,0.2500){\hspace*{\Width}\raisebox{\Height}{}}% -% -% -\end{picture}}%
\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortablee35-68.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortablee35-68.tex deleted file mode 100644 index 017807da8fd..00000000000 --- a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortablee35-68.tex +++ /dev/null @@ -1,1934 +0,0 @@ -%%% colortable35-68.tex 2015-2-6 18:34 -%%% colortable35-68.sce 2015-2-6 18:29 -{\unitlength=1cm% -\begin{picture}% -( 15.00000, 17.50000)( -0.00000, -0.00000)% -\special{pn 8}% -% -\color[cmyk]{0.75,0.9,0,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,16.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -6693}\special{pa 4626 -6496}\special{pa 5906 -6496}\special{pa 5906 -6693}% -\special{pa 4626 -6693}\special{sh 1}\special{ip}% -\color[cmyk]{0.86,0.91,0,0.04}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,16.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -6496}\special{pa 4626 -6299}\special{pa 5906 -6299}\special{pa 5906 -6496}% -\special{pa 4626 -6496}\special{sh 1}\special{ip}% -\color[cmyk]{0.57,0.55,0,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,15.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -6299}\special{pa 4626 -6102}\special{pa 5906 -6102}\special{pa 5906 -6299}% -\special{pa 4626 -6299}\special{sh 1}\special{ip}% -\color[cmyk]{0.62,0.57,0.23,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,15.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -6102}\special{pa 4626 -5906}\special{pa 5906 -5906}\special{pa 5906 -6102}% -\special{pa 4626 -6102}\special{sh 1}\special{ip}% -\color[cmyk]{0.65,0.13,0,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,14.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -5906}\special{pa 4626 -5709}\special{pa 5906 -5709}\special{pa 5906 -5906}% -\special{pa 4626 -5906}\special{sh 1}\special{ip}% -\color[cmyk]{0.98,0.13,0,0.43}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,14.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -5709}\special{pa 4626 -5512}\special{pa 5906 -5512}\special{pa 5906 -5709}% -\special{pa 4626 -5709}\special{sh 1}\special{ip}% -\color[cmyk]{0.94,0.54,0,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,13.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -5512}\special{pa 4626 -5315}\special{pa 5906 -5315}\special{pa 5906 -5512}% -\special{pa 4626 -5512}\special{sh 1}\special{ip}% -\color[cmyk]{1,0.5,0,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,13.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -5315}\special{pa 4626 -5118}\special{pa 5906 -5118}\special{pa 5906 -5315}% -\special{pa 4626 -5315}\special{sh 1}\special{ip}% -\color[cmyk]{1,1,0,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,12.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -5118}\special{pa 4626 -4921}\special{pa 5906 -4921}\special{pa 5906 -5118}% -\special{pa 4626 -5118}\special{sh 1}\special{ip}% -\color[cmyk]{0.94,0.11,0,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,12.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -4921}\special{pa 4626 -4724}\special{pa 5906 -4724}\special{pa 5906 -4921}% -\special{pa 4626 -4921}\special{sh 1}\special{ip}% -\color[cmyk]{1,0,0,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,11.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -4724}\special{pa 4626 -4528}\special{pa 5906 -4528}\special{pa 5906 -4724}% -\special{pa 4626 -4724}\special{sh 1}\special{ip}% -\color[cmyk]{0.96,0,0,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,11.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -4528}\special{pa 4626 -4331}\special{pa 5906 -4331}\special{pa 5906 -4528}% -\special{pa 4626 -4528}\special{sh 1}\special{ip}% -\color[cmyk]{0.62,0,0.12,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,10.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -4331}\special{pa 4626 -4134}\special{pa 5906 -4134}\special{pa 5906 -4331}% -\special{pa 4626 -4331}\special{sh 1}\special{ip}% -\color[cmyk]{0.85,0,0.2,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,10.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -4134}\special{pa 4626 -3937}\special{pa 5906 -3937}\special{pa 5906 -4134}% -\special{pa 4626 -4134}\special{sh 1}\special{ip}% -\color[cmyk]{0.86,0,0.34,0.02}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,9.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -3937}\special{pa 4626 -3740}\special{pa 5906 -3740}\special{pa 5906 -3937}% -\special{pa 4626 -3937}\special{sh 1}\special{ip}% -\color[cmyk]{0.82,0,0.3,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,9.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -3740}\special{pa 4626 -3543}\special{pa 5906 -3543}\special{pa 5906 -3740}% -\special{pa 4626 -3740}\special{sh 1}\special{ip}% -\color[cmyk]{0.85,0,0.33,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,8.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -3543}\special{pa 4626 -3346}\special{pa 5906 -3346}\special{pa 5906 -3543}% -\special{pa 4626 -3543}\special{sh 1}\special{ip}% -\color[cmyk]{1,0,0.5,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,8.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -3346}\special{pa 4626 -3150}\special{pa 5906 -3150}\special{pa 5906 -3346}% -\special{pa 4626 -3346}\special{sh 1}\special{ip}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,7.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -3150}\special{pa 4626 -2953}\special{pa 5906 -2953}\special{pa 5906 -3150}% -\special{pa 4626 -3150}\special{sh 1}\special{ip}% -\color[cmyk]{0.69,0,0.5,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,7.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -2953}\special{pa 4626 -2756}\special{pa 5906 -2756}\special{pa 5906 -2953}% -\special{pa 4626 -2953}\special{sh 1}\special{ip}% -\color[cmyk]{1,0,1,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,6.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -2756}\special{pa 4626 -2559}\special{pa 5906 -2559}\special{pa 5906 -2756}% -\special{pa 4626 -2756}\special{sh 1}\special{ip}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,6.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -2559}\special{pa 4626 -2362}\special{pa 5906 -2362}\special{pa 5906 -2559}% -\special{pa 4626 -2559}\special{sh 1}\special{ip}% -\color[cmyk]{0.92,0,0.59,0.25}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,5.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -2362}\special{pa 4626 -2165}\special{pa 5906 -2165}\special{pa 5906 -2362}% -\special{pa 4626 -2362}\special{sh 1}\special{ip}% -\color[cmyk]{0.5,0,1,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,5.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -2165}\special{pa 4626 -1969}\special{pa 5906 -1969}\special{pa 5906 -2165}% -\special{pa 4626 -2165}\special{sh 1}\special{ip}% -\color[cmyk]{0.44,0,0.74,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,4.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -1969}\special{pa 4626 -1772}\special{pa 5906 -1772}\special{pa 5906 -1969}% -\special{pa 4626 -1969}\special{sh 1}\special{ip}% -\color[cmyk]{0.26,0,0.76,0}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,4.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -1772}\special{pa 4626 -1575}\special{pa 5906 -1575}\special{pa 5906 -1772}% -\special{pa 4626 -1772}\special{sh 1}\special{ip}% -\color[cmyk]{0.64,0,0.95,0.4}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.7500,3.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% -% -% -\special{pa 4626 -1575}\special{pa 4626 -1378}\special{pa 5906 -1378}\special{pa 5906 -1575}% -\special{pa 4626 -1575}\special{sh 1}\special{ip}% -\color[cmyk]{0,0.72,1,0.45}% -\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% 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+\settoheight{\Height}{c3}\settodepth{\Depth}{c3}\setlength{\Height}{\Depth}% +\put(6.0714286,4.2142857){\hspace*{\Width}\raisebox{\Height}{c3}}% % +\settowidth{\Width}{c4}\setlength{\Width}{0\Width}% +\settoheight{\Height}{c4}\settodepth{\Depth}{c4}\setlength{\Height}{\Depth}% +\put(8.0714286,4.2142857){\hspace*{\Width}\raisebox{\Height}{c4}}% % -\settowidth{\Width}{C4}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{C4}\settodepth{\Depth}{C4}\setlength{\Height}{-\Height}% -\put(8.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C4}}% +\settowidth{\Width}{c5}\setlength{\Width}{0\Width}% +\settoheight{\Height}{c5}\settodepth{\Depth}{c5}\setlength{\Height}{\Depth}% +\put(10.0714286,4.2142857){\hspace*{\Width}\raisebox{\Height}{c5}}% % +\settowidth{\Width}{r2}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{r2}\settodepth{\Depth}{r2}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(-0.0714286,0.0000000){\hspace*{\Width}\raisebox{\Height}{r2}}% % -\settowidth{\Width}{C5}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{C5}\settodepth{\Depth}{C5}\setlength{\Height}{-\Height}% -\put(10.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C5}}% +\settowidth{\Width}{r1}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{r1}\settodepth{\Depth}{r1}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(-0.0714286,2.0000000){\hspace*{\Width}\raisebox{\Height}{r1}}% % +\settowidth{\Width}{r0}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{r0}\settodepth{\Depth}{r0}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(-0.0714286,4.0000000){\hspace*{\Width}\raisebox{\Height}{r0}}% % -\special{pa 0 -945}\special{pa 472 -945}% -\special{fp}% -\special{pa 472 -945}\special{pa 945 -945}% -\special{fp}% -\special{pa 945 -945}\special{pa 1417 -945}% -\special{fp}% -\special{pa 1417 -945}\special{pa 1890 -945}% -\special{fp}% -\special{pa 1890 -945}\special{pa 2362 -945}% -\special{fp}% -\special{pa 0 -472}\special{pa 472 -472}% -\special{fp}% -\special{pa 472 -472}\special{pa 945 -472}% -\special{fp}% -\special{pa 945 -472}\special{pa 1417 -472}% -\special{fp}% -\special{pa 1417 -472}\special{pa 1890 -472}% -\special{fp}% -\special{pa 1890 -472}\special{pa 2362 -472}% -\special{fp}% -\special{pa 0 0}\special{pa 472 0}% -\special{fp}% -\special{pa 472 0}\special{pa 945 0}% -\special{fp}% -\special{pa 945 0}\special{pa 1417 0}% -\special{fp}% -\special{pa 1417 0}\special{pa 1890 0}% -\special{fp}% -\special{pa 1890 0}\special{pa 2362 0}% -\special{fp}% -\special{pa 0 -945}\special{pa 0 -472}% -\special{fp}% -\special{pa 0 -472}\special{pa 0 0}% -\special{fp}% -\special{pa 472 -945}\special{pa 472 -472}% -\special{fp}% -\special{pa 945 -945}\special{pa 945 -472}% -\special{fp}% -\special{pa 945 -472}\special{pa 945 0}% -\special{fp}% -\special{pa 1417 -945}\special{pa 1417 -472}% -\special{fp}% -\special{pa 1417 -472}\special{pa 1417 0}% -\special{fp}% -\special{pa 1890 -945}\special{pa 1890 -472}% -\special{fp}% -\special{pa 2362 -945}\special{pa 2362 -472}% -\special{fp}% -\special{pa 2362 -472}\special{pa 2362 0}% -\special{fp}% \end{picture}}%
\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putcol.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putcol.tex index 380edea4167..fa7e744df13 100644 --- a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putcol.tex +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putcol.tex @@ -1,188 +1,122 @@ -%%% test.tex 2014-11-26 11:26 -%%% test.sce 2014-11-26 11:26 -{\unitlength=6mm% +%%% /Users/Hannya/Desktop/KeTCindy/fig/putcol.tex +%%% Generator=template1basic.cdy +{\unitlength=7mm% \begin{picture}% -( 10.00000, 4.50000)( 0.00000, 0.00000)% +(10,4.5)(0,0)% \special{pn 8}% % +\special{pa 0 -1240}\special{pa 0 -0}% +\special{fp}% +\special{pa 1102 -1240}\special{pa 1102 -0}% +\special{fp}% +\special{pa 1654 -1240}\special{pa 1654 -0}% +\special{fp}% +\special{pa 2205 -1240}\special{pa 2205 -0}% +\special{fp}% +\special{pa 2756 -1240}\special{pa 2756 -0}% +\special{fp}% +\special{pa 0 -1240}\special{pa 2756 -1240}% +\special{fp}% +\special{pa 0 -0}\special{pa 2756 -0}% +\special{fp}% +\special{pa 551 -1240}\special{pa 551 -827}% +\special{fp}% +\special{pa 551 -413}\special{pa 551 -0}% +\special{fp}% +\special{pa 0 -827}\special{pa 1102 -827}% +\special{fp}% +\special{pa 1654 -827}\special{pa 2756 -827}% +\special{fp}% +\special{pa 0 -413}\special{pa 1102 -413}% +\special{fp}% +\special{pa 1654 -413}\special{pa 2756 -413}% +\special{fp}% \settowidth{\Width}{A}\setlength{\Width}{-0.5\Width}% \settoheight{\Height}{A}\settodepth{\Depth}{A}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(5.0000,3.7500){\hspace*{\Width}\raisebox{\Height}{A}}% -% +\put(5.0000000,3.7500000){\hspace*{\Width}\raisebox{\Height}{A}}% % \settowidth{\Width}{B}\setlength{\Width}{-0.5\Width}% \settoheight{\Height}{B}\settodepth{\Depth}{B}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(5.0000,2.2500){\hspace*{\Width}\raisebox{\Height}{B}}% -% +\put(5.0000000,2.2500000){\hspace*{\Width}\raisebox{\Height}{B}}% % \settowidth{\Width}{C}\setlength{\Width}{-0.5\Width}% \settoheight{\Height}{C}\settodepth{\Depth}{C}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(5.0000,0.7500){\hspace*{\Width}\raisebox{\Height}{C}}% -% +\put(5.0000000,0.7500000){\hspace*{\Width}\raisebox{\Height}{C}}% % \settowidth{\Width}{$x^2$}\setlength{\Width}{0\Width}% \settoheight{\Height}{$x^2$}\settodepth{\Depth}{$x^2$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(6.0500,3.7500){\hspace*{\Width}\raisebox{\Height}{$x^2$}}% -% +\put(6.0714286,3.7500000){\hspace*{\Width}\raisebox{\Height}{$x^2$}}% % \settowidth{\Width}{$y=\sqrt{x^3}$}\setlength{\Width}{0\Width}% \settoheight{\Height}{$y=\sqrt{x^3}$}\settodepth{\Depth}{$y=\sqrt{x^3}$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(6.0500,2.2500){\hspace*{\Width}\raisebox{\Height}{$y=\sqrt{x^3}$}}% -% +\put(6.0714286,2.2500000){\hspace*{\Width}\raisebox{\Height}{$y=\sqrt{x^3}$}}% % \settowidth{\Width}{1}\setlength{\Width}{-0.5\Width}% \settoheight{\Height}{1}\settodepth{\Depth}{1}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(1.0000,3.7500){\hspace*{\Width}\raisebox{\Height}{1}}% -% +\put(1.0000000,3.7500000){\hspace*{\Width}\raisebox{\Height}{1}}% % \settowidth{\Width}{二}\setlength{\Width}{-0.5\Width}% \settoheight{\Height}{二}\settodepth{\Depth}{二}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(3.0000,3.7500){\hspace*{\Width}\raisebox{\Height}{二}}% -% +\put(3.0000000,3.7500000){\hspace*{\Width}\raisebox{\Height}{二}}% % \settowidth{\Width}{$$}\setlength{\Width}{-0.5\Width}% \settoheight{\Height}{$$}\settodepth{\Depth}{$$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(1.0000,0.7500){\hspace*{\Width}\raisebox{\Height}{$$}}% -% +\put(1.0000000,0.7500000){\hspace*{\Width}\raisebox{\Height}{$$}}% % \settowidth{\Width}{$\frac{\pi}{2}$}\setlength{\Width}{-0.5\Width}% \settoheight{\Height}{$\frac{\pi}{2}$}\settodepth{\Depth}{$\frac{\pi}{2}$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(3.0000,0.7500){\hspace*{\Width}\raisebox{\Height}{$\frac{\pi}{2}$}}% -% +\put(3.0000000,0.7500000){\hspace*{\Width}\raisebox{\Height}{$\frac{\pi}{2}$}}% % \settowidth{\Width}{$$}\setlength{\Width}{-0.5\Width}% \settoheight{\Height}{$$}\settodepth{\Depth}{$$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(5.0000,0.7500){\hspace*{\Width}\raisebox{\Height}{$$}}% -% +\put(5.0000000,0.7500000){\hspace*{\Width}\raisebox{\Height}{$$}}% % \settowidth{\Width}{$$}\setlength{\Width}{-0.5\Width}% \settoheight{\Height}{$$}\settodepth{\Depth}{$$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(7.2000,0.7500){\hspace*{\Width}\raisebox{\Height}{$$}}% -% +\put(7.0000000,0.7500000){\hspace*{\Width}\raisebox{\Height}{$$}}% % \settowidth{\Width}{$\sum{x^2}$}\setlength{\Width}{-0.5\Width}% \settoheight{\Height}{$\sum{x^2}$}\settodepth{\Depth}{$\sum{x^2}$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(9.2000,0.7500){\hspace*{\Width}\raisebox{\Height}{$\sum{x^2}$}}% -% -% -\settowidth{\Width}{R0}\setlength{\Width}{-1\Width}% -\settoheight{\Height}{R0}\settodepth{\Depth}{R0}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(-0.1500,4.5000){\hspace*{\Width}\raisebox{\Height}{R0}}% -% -% -\settowidth{\Width}{R1}\setlength{\Width}{-1\Width}% -\settoheight{\Height}{R1}\settodepth{\Depth}{R1}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(-0.1500,3.0000){\hspace*{\Width}\raisebox{\Height}{R1}}% -% -% -\settowidth{\Width}{R2}\setlength{\Width}{-1\Width}% -\settoheight{\Height}{R2}\settodepth{\Depth}{R2}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(-0.1500,1.5000){\hspace*{\Width}\raisebox{\Height}{R2}}% -% -% -\settowidth{\Width}{R3}\setlength{\Width}{-1\Width}% -\settoheight{\Height}{R3}\settodepth{\Depth}{R3}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(-0.1500,0.0000){\hspace*{\Width}\raisebox{\Height}{R3}}% -% -% -\settowidth{\Width}{C0}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{C0}\settodepth{\Depth}{C0}\setlength{\Height}{-\Height}% -\put(0.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C0}}% -% +\put(9.0000000,0.7500000){\hspace*{\Width}\raisebox{\Height}{$\sum{x^2}$}}% % -\settowidth{\Width}{C1}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{C1}\settodepth{\Depth}{C1}\setlength{\Height}{-\Height}% -\put(2.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C1}}% +\settowidth{\Width}{c0}\setlength{\Width}{0\Width}% +\settoheight{\Height}{c0}\settodepth{\Depth}{c0}\setlength{\Height}{\Depth}% +\put(0.0714286,4.7142857){\hspace*{\Width}\raisebox{\Height}{c0}}% % +\settowidth{\Width}{c1}\setlength{\Width}{0\Width}% +\settoheight{\Height}{c1}\settodepth{\Depth}{c1}\setlength{\Height}{\Depth}% +\put(2.0714286,4.7142857){\hspace*{\Width}\raisebox{\Height}{c1}}% % -\settowidth{\Width}{C2}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{C2}\settodepth{\Depth}{C2}\setlength{\Height}{-\Height}% -\put(4.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C2}}% +\settowidth{\Width}{c2}\setlength{\Width}{0\Width}% +\settoheight{\Height}{c2}\settodepth{\Depth}{c2}\setlength{\Height}{\Depth}% +\put(4.0714286,4.7142857){\hspace*{\Width}\raisebox{\Height}{c2}}% % +\settowidth{\Width}{c3}\setlength{\Width}{0\Width}% +\settoheight{\Height}{c3}\settodepth{\Depth}{c3}\setlength{\Height}{\Depth}% +\put(6.0714286,4.7142857){\hspace*{\Width}\raisebox{\Height}{c3}}% % -\settowidth{\Width}{C3}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{C3}\settodepth{\Depth}{C3}\setlength{\Height}{-\Height}% -\put(6.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C3}}% +\settowidth{\Width}{c4}\setlength{\Width}{0\Width}% +\settoheight{\Height}{c4}\settodepth{\Depth}{c4}\setlength{\Height}{\Depth}% +\put(8.0714286,4.7142857){\hspace*{\Width}\raisebox{\Height}{c4}}% % +\settowidth{\Width}{c5}\setlength{\Width}{0\Width}% +\settoheight{\Height}{c5}\settodepth{\Depth}{c5}\setlength{\Height}{\Depth}% +\put(10.0714286,4.7142857){\hspace*{\Width}\raisebox{\Height}{c5}}% % -\settowidth{\Width}{C4}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{C4}\settodepth{\Depth}{C4}\setlength{\Height}{-\Height}% -\put(8.4000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C4}}% +\settowidth{\Width}{r3}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{r3}\settodepth{\Depth}{r3}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(-0.0714286,0.0000000){\hspace*{\Width}\raisebox{\Height}{r3}}% % +\settowidth{\Width}{r2}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{r2}\settodepth{\Depth}{r2}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(-0.0714286,1.5000000){\hspace*{\Width}\raisebox{\Height}{r2}}% % -\settowidth{\Width}{C5}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{C5}\settodepth{\Depth}{C5}\setlength{\Height}{-\Height}% -\put(10.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C5}}% +\settowidth{\Width}{r1}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{r1}\settodepth{\Depth}{r1}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(-0.0714286,3.0000000){\hspace*{\Width}\raisebox{\Height}{r1}}% % +\settowidth{\Width}{r0}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{r0}\settodepth{\Depth}{r0}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(-0.0714286,4.5000000){\hspace*{\Width}\raisebox{\Height}{r0}}% % -\special{pa 0 -1063}\special{pa 472 -1063}% -\special{fp}% -\special{pa 472 -1063}\special{pa 945 -1063}% -\special{fp}% -\special{pa 945 -1063}\special{pa 1417 -1063}% -\special{fp}% -\special{pa 1417 -1063}\special{pa 1984 -1063}% -\special{fp}% -\special{pa 1984 -1063}\special{pa 2362 -1063}% -\special{fp}% -\special{pa 0 -709}\special{pa 472 -709}% -\special{fp}% -\special{pa 472 -709}\special{pa 945 -709}% -\special{fp}% -\special{pa 1417 -709}\special{pa 1984 -709}% -\special{fp}% -\special{pa 1984 -709}\special{pa 2362 -709}% -\special{fp}% -\special{pa 0 -354}\special{pa 472 -354}% -\special{fp}% -\special{pa 472 -354}\special{pa 945 -354}% -\special{fp}% -\special{pa 1417 -354}\special{pa 1984 -354}% -\special{fp}% -\special{pa 1984 -354}\special{pa 2362 -354}% -\special{fp}% -\special{pa 0 0}\special{pa 472 0}% -\special{fp}% -\special{pa 472 0}\special{pa 945 0}% -\special{fp}% -\special{pa 945 0}\special{pa 1417 0}% -\special{fp}% -\special{pa 1417 0}\special{pa 1984 0}% -\special{fp}% -\special{pa 1984 0}\special{pa 2362 0}% -\special{fp}% -\special{pa 0 -1063}\special{pa 0 -709}% -\special{fp}% -\special{pa 0 -709}\special{pa 0 -354}% -\special{fp}% -\special{pa 0 -354}\special{pa 0 0}% -\special{fp}% -\special{pa 472 -1063}\special{pa 472 -709}% -\special{fp}% -\special{pa 472 -354}\special{pa 472 0}% -\special{fp}% -\special{pa 945 -1063}\special{pa 945 -709}% -\special{fp}% -\special{pa 945 -709}\special{pa 945 -354}% -\special{fp}% -\special{pa 945 -354}\special{pa 945 0}% -\special{fp}% -\special{pa 1417 -1063}\special{pa 1417 -709}% -\special{fp}% -\special{pa 1417 -709}\special{pa 1417 -354}% -\special{fp}% -\special{pa 1417 -354}\special{pa 1417 0}% -\special{fp}% -\special{pa 1984 -1063}\special{pa 1984 -709}% -\special{fp}% -\special{pa 1984 -709}\special{pa 1984 -354}% -\special{fp}% -\special{pa 1984 -354}\special{pa 1984 0}% -\special{fp}% -\special{pa 2362 -1063}\special{pa 2362 -709}% -\special{fp}% -\special{pa 2362 -709}\special{pa 2362 -354}% -\special{fp}% -\special{pa 2362 -354}\special{pa 2362 0}% -\special{fp}% \end{picture}}%
\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putcolE.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putcolE.tex new file mode 100644 index 00000000000..07a1de3fe3d --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putcolE.tex @@ -0,0 +1,122 @@ +%%% /Users/Hannya/Desktop/KeTCindy/fig/putcol.tex +%%% Generator=template1basic.cdy +{\unitlength=7mm% +\begin{picture}% +(10,4.5)(0,0)% +\special{pn 8}% +% +\special{pa 0 -1240}\special{pa 0 -0}% +\special{fp}% +\special{pa 1102 -1240}\special{pa 1102 -0}% +\special{fp}% +\special{pa 1654 -1240}\special{pa 1654 -0}% +\special{fp}% +\special{pa 2205 -1240}\special{pa 2205 -0}% +\special{fp}% +\special{pa 2756 -1240}\special{pa 2756 -0}% +\special{fp}% +\special{pa 0 -1240}\special{pa 2756 -1240}% +\special{fp}% +\special{pa 0 -0}\special{pa 2756 -0}% +\special{fp}% +\special{pa 551 -1240}\special{pa 551 -827}% +\special{fp}% +\special{pa 551 -413}\special{pa 551 -0}% +\special{fp}% +\special{pa 0 -827}\special{pa 1102 -827}% +\special{fp}% +\special{pa 1654 -827}\special{pa 2756 -827}% +\special{fp}% +\special{pa 0 -413}\special{pa 1102 -413}% +\special{fp}% +\special{pa 1654 -413}\special{pa 2756 -413}% +\special{fp}% +\settowidth{\Width}{A}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{A}\settodepth{\Depth}{A}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(5.0000000,3.7500000){\hspace*{\Width}\raisebox{\Height}{A}}% +% +\settowidth{\Width}{B}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{B}\settodepth{\Depth}{B}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(5.0000000,2.2500000){\hspace*{\Width}\raisebox{\Height}{B}}% +% +\settowidth{\Width}{C}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{C}\settodepth{\Depth}{C}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(5.0000000,0.7500000){\hspace*{\Width}\raisebox{\Height}{C}}% +% +\settowidth{\Width}{{\footnotesize $x^2$}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{\footnotesize $x^2$}}\settodepth{\Depth}{{\footnotesize $x^2$}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(6.0714286,3.7500000){\hspace*{\Width}\raisebox{\Height}{{\footnotesize $x^2$}}}% +% +\settowidth{\Width}{{\footnotesize $y=\sqrt{x^3}$}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{\footnotesize $y=\sqrt{x^3}$}}\settodepth{\Depth}{{\footnotesize $y=\sqrt{x^3}$}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(6.0714286,2.2500000){\hspace*{\Width}\raisebox{\Height}{{\footnotesize $y=\sqrt{x^3}$}}}% +% +\settowidth{\Width}{1}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{1}\settodepth{\Depth}{1}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(1.0000000,3.7500000){\hspace*{\Width}\raisebox{\Height}{1}}% +% +\settowidth{\Width}{two}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{two}\settodepth{\Depth}{two}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(3.0000000,3.7500000){\hspace*{\Width}\raisebox{\Height}{two}}% +% +\settowidth{\Width}{$$}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{$$}\settodepth{\Depth}{$$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(1.0000000,0.7500000){\hspace*{\Width}\raisebox{\Height}{$$}}% +% +\settowidth{\Width}{$\frac{\pi}{2}$}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{$\frac{\pi}{2}$}\settodepth{\Depth}{$\frac{\pi}{2}$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(3.0000000,0.7500000){\hspace*{\Width}\raisebox{\Height}{$\frac{\pi}{2}$}}% +% +\settowidth{\Width}{$$}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{$$}\settodepth{\Depth}{$$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(5.0000000,0.7500000){\hspace*{\Width}\raisebox{\Height}{$$}}% +% +\settowidth{\Width}{$$}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{$$}\settodepth{\Depth}{$$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(7.0000000,0.7500000){\hspace*{\Width}\raisebox{\Height}{$$}}% +% +\settowidth{\Width}{{\footnotesize $\sum{x^2}$}}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{{\footnotesize $\sum{x^2}$}}\settodepth{\Depth}{{\footnotesize $\sum{x^2}$}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(9.0000000,0.7500000){\hspace*{\Width}\raisebox{\Height}{{\footnotesize $\sum{x^2}$}}}% +% +\settowidth{\Width}{c0}\setlength{\Width}{0\Width}% +\settoheight{\Height}{c0}\settodepth{\Depth}{c0}\setlength{\Height}{\Depth}% +\put(0.0714286,4.7142857){\hspace*{\Width}\raisebox{\Height}{c0}}% +% +\settowidth{\Width}{c1}\setlength{\Width}{0\Width}% +\settoheight{\Height}{c1}\settodepth{\Depth}{c1}\setlength{\Height}{\Depth}% +\put(2.0714286,4.7142857){\hspace*{\Width}\raisebox{\Height}{c1}}% +% +\settowidth{\Width}{c2}\setlength{\Width}{0\Width}% +\settoheight{\Height}{c2}\settodepth{\Depth}{c2}\setlength{\Height}{\Depth}% +\put(4.0714286,4.7142857){\hspace*{\Width}\raisebox{\Height}{c2}}% +% +\settowidth{\Width}{c3}\setlength{\Width}{0\Width}% +\settoheight{\Height}{c3}\settodepth{\Depth}{c3}\setlength{\Height}{\Depth}% +\put(6.0714286,4.7142857){\hspace*{\Width}\raisebox{\Height}{c3}}% +% +\settowidth{\Width}{c4}\setlength{\Width}{0\Width}% +\settoheight{\Height}{c4}\settodepth{\Depth}{c4}\setlength{\Height}{\Depth}% 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-1232}\special{pa 1152 -1248}\special{pa 1144 -1262}\special{sh 1}\special{fp}% +}% \special{pn 8}% -\special{pa 0 -53}\special{pa 1299 -1286}\special{pa 2434 -2362}% +{% +\color[rgb]{0,1,0}% +\special{pa -18 232}\special{pa 2756 -2567}% \special{fp}% -\special{pa 0 0}\special{pa 2598 0}\special{pa 2598 -2362}\special{pa 0 -2362}\special{pa 0 0}% -\special{fp}% -\settowidth{\Width}{$r=0.968,\ y=0.948x+0.226$}\setlength{\Width}{0\Width}% -\settoheight{\Height}{$r=0.968,\ y=0.948x+0.226$}\settodepth{\Depth}{$r=0.968,\ y=0.948x+0.226$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(0.5990,9.5583){\hspace*{\Width}\raisebox{\Height}{$r=0.968,\ y=0.948x+0.226$}}% -% +}% +\settowidth{\Width}{$r=0.535,\ y=1.009x-0.545$}\setlength{\Width}{0\Width}% +\settoheight{\Height}{$r=0.535,\ y=1.009x-0.545$}\settodepth{\Depth}{$r=0.535,\ y=1.009x-0.545$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(0.9500000,6.4300000){\hspace*{\Width}\raisebox{\Height}{$r=0.535,\ y=1.009x-0.545$}}% % +\special{pa 0 -2756}\special{pa 0 -0}\special{pa 2756 -0}% +\special{fp}% \settowidth{\Width}{$0$}\setlength{\Width}{-0.5\Width}% \settoheight{\Height}{$0$}\settodepth{\Depth}{$0$}\setlength{\Height}{-\Height}% -\put(0.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{$0$}}% -% +\put(0.0000000,-0.1500000){\hspace*{\Width}\raisebox{\Height}{$0$}}% % +\special{pa 0 -0}\special{pa 0 39}% +\special{fp}% \settowidth{\Width}{$1$}\setlength{\Width}{-0.5\Width}% \settoheight{\Height}{$1$}\settodepth{\Depth}{$1$}\setlength{\Height}{-\Height}% -\put(1.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{$1$}}% -% +\put(1.0000000,-0.1500000){\hspace*{\Width}\raisebox{\Height}{$1$}}% % +\special{pa 394 -0}\special{pa 394 39}% +\special{fp}% \settowidth{\Width}{$2$}\setlength{\Width}{-0.5\Width}% \settoheight{\Height}{$2$}\settodepth{\Depth}{$2$}\setlength{\Height}{-\Height}% -\put(2.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{$2$}}% -% +\put(2.0000000,-0.1500000){\hspace*{\Width}\raisebox{\Height}{$2$}}% % +\special{pa 787 -0}\special{pa 787 39}% +\special{fp}% \settowidth{\Width}{$3$}\setlength{\Width}{-0.5\Width}% \settoheight{\Height}{$3$}\settodepth{\Depth}{$3$}\setlength{\Height}{-\Height}% -\put(3.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{$3$}}% -% +\put(3.0000000,-0.1500000){\hspace*{\Width}\raisebox{\Height}{$3$}}% % +\special{pa 1181 -0}\special{pa 1181 39}% +\special{fp}% \settowidth{\Width}{$4$}\setlength{\Width}{-0.5\Width}% \settoheight{\Height}{$4$}\settodepth{\Depth}{$4$}\setlength{\Height}{-\Height}% -\put(4.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{$4$}}% -% +\put(4.0000000,-0.1500000){\hspace*{\Width}\raisebox{\Height}{$4$}}% % +\special{pa 1575 -0}\special{pa 1575 39}% +\special{fp}% \settowidth{\Width}{$5$}\setlength{\Width}{-0.5\Width}% \settoheight{\Height}{$5$}\settodepth{\Depth}{$5$}\setlength{\Height}{-\Height}% -\put(5.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{$5$}}% -% +\put(5.0000000,-0.1500000){\hspace*{\Width}\raisebox{\Height}{$5$}}% % +\special{pa 1969 -0}\special{pa 1969 39}% +\special{fp}% \settowidth{\Width}{$6$}\setlength{\Width}{-0.5\Width}% \settoheight{\Height}{$6$}\settodepth{\Depth}{$6$}\setlength{\Height}{-\Height}% -\put(6.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{$6$}}% -% +\put(6.0000000,-0.1500000){\hspace*{\Width}\raisebox{\Height}{$6$}}% % +\special{pa 2362 -0}\special{pa 2362 39}% +\special{fp}% \settowidth{\Width}{$7$}\setlength{\Width}{-0.5\Width}% \settoheight{\Height}{$7$}\settodepth{\Depth}{$7$}\setlength{\Height}{-\Height}% -\put(7.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{$7$}}% -% -% -\settowidth{\Width}{$8$}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{$8$}\settodepth{\Depth}{$8$}\setlength{\Height}{-\Height}% -\put(8.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{$8$}}% -% -% -\settowidth{\Width}{$9$}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{$9$}\settodepth{\Depth}{$9$}\setlength{\Height}{-\Height}% -\put(9.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{$9$}}% -% -% -\settowidth{\Width}{$10$}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{$10$}\settodepth{\Depth}{$10$}\setlength{\Height}{-\Height}% -\put(10.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{$10$}}% -% +\put(7.0000000,-0.1500000){\hspace*{\Width}\raisebox{\Height}{$7$}}% % +\special{pa 2756 -0}\special{pa 2756 39}% +\special{fp}% \settowidth{\Width}{$1$}\setlength{\Width}{-1\Width}% \settoheight{\Height}{$1$}\settodepth{\Depth}{$1$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(-0.1500,1.0000){\hspace*{\Width}\raisebox{\Height}{$1$}}% -% +\put(-0.1500000,1.0000000){\hspace*{\Width}\raisebox{\Height}{$1$}}% % +\special{pa 0 -394}\special{pa -39 -394}% +\special{fp}% \settowidth{\Width}{$2$}\setlength{\Width}{-1\Width}% \settoheight{\Height}{$2$}\settodepth{\Depth}{$2$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(-0.1500,2.0000){\hspace*{\Width}\raisebox{\Height}{$2$}}% -% +\put(-0.1500000,2.0000000){\hspace*{\Width}\raisebox{\Height}{$2$}}% % +\special{pa 0 -787}\special{pa -39 -787}% +\special{fp}% \settowidth{\Width}{$3$}\setlength{\Width}{-1\Width}% \settoheight{\Height}{$3$}\settodepth{\Depth}{$3$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(-0.1500,3.0000){\hspace*{\Width}\raisebox{\Height}{$3$}}% -% +\put(-0.1500000,3.0000000){\hspace*{\Width}\raisebox{\Height}{$3$}}% % +\special{pa 0 -1181}\special{pa -39 -1181}% +\special{fp}% \settowidth{\Width}{$4$}\setlength{\Width}{-1\Width}% \settoheight{\Height}{$4$}\settodepth{\Depth}{$4$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(-0.1500,4.0000){\hspace*{\Width}\raisebox{\Height}{$4$}}% -% +\put(-0.1500000,4.0000000){\hspace*{\Width}\raisebox{\Height}{$4$}}% % +\special{pa 0 -1575}\special{pa -39 -1575}% +\special{fp}% \settowidth{\Width}{$5$}\setlength{\Width}{-1\Width}% \settoheight{\Height}{$5$}\settodepth{\Depth}{$5$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(-0.1500,5.0000){\hspace*{\Width}\raisebox{\Height}{$5$}}% -% +\put(-0.1500000,5.0000000){\hspace*{\Width}\raisebox{\Height}{$5$}}% % +\special{pa 0 -1969}\special{pa -39 -1969}% +\special{fp}% \settowidth{\Width}{$6$}\setlength{\Width}{-1\Width}% \settoheight{\Height}{$6$}\settodepth{\Depth}{$6$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(-0.1500,6.0000){\hspace*{\Width}\raisebox{\Height}{$6$}}% -% +\put(-0.1500000,6.0000000){\hspace*{\Width}\raisebox{\Height}{$6$}}% % +\special{pa 0 -2362}\special{pa -39 -2362}% +\special{fp}% \settowidth{\Width}{$7$}\setlength{\Width}{-1\Width}% \settoheight{\Height}{$7$}\settodepth{\Depth}{$7$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(-0.1500,7.0000){\hspace*{\Width}\raisebox{\Height}{$7$}}% -% -% -\settowidth{\Width}{$8$}\setlength{\Width}{-1\Width}% -\settoheight{\Height}{$8$}\settodepth{\Depth}{$8$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(-0.1500,8.0000){\hspace*{\Width}\raisebox{\Height}{$8$}}% -% -% -\settowidth{\Width}{$9$}\setlength{\Width}{-1\Width}% -\settoheight{\Height}{$9$}\settodepth{\Depth}{$9$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(-0.1500,9.0000){\hspace*{\Width}\raisebox{\Height}{$9$}}% -% -% -\settowidth{\Width}{$10$}\setlength{\Width}{-1\Width}% -\settoheight{\Height}{$10$}\settodepth{\Depth}{$10$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(-0.1500,10.0000){\hspace*{\Width}\raisebox{\Height}{$10$}}% -% +\put(-0.1500000,7.0000000){\hspace*{\Width}\raisebox{\Height}{$7$}}% % +\special{pa 0 -2756}\special{pa -39 -2756}% +\special{fp}% \end{picture}}%
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\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/setwindow.pdf b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/setwindow.pdf Binary files differnew file mode 100644 index 00000000000..38d007daf7c --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/setwindow.pdf diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/sf3ddata3.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/sf3ddata3.tex index a2585b3117b..a2585b3117b 100644 --- a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/sf3ddata3.tex +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/sf3ddata3.tex diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/sf3ddata4.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/sf3ddata4.tex index 7c4fa9d6f42..7c4fa9d6f42 100644 --- 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b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/sfbdpara03.tex index 15121319fe4..15121319fe4 100644 --- a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/sfbdpara03.tex +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/sfbdpara03.tex diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/sfbdpara04.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/sfbdpara04.tex index 4ea7e247a6a..4ea7e247a6a 100644 --- a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/sfbdpara04.tex +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/sfbdpara04.tex diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/shade01.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/shade01.tex index 079d9c663aa..056b4ffd7eb 100644 --- a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/shade01.tex +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/shade01.tex 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273 -1575}\special{fp}% +\special{pa 312 -1575}\special{pa 351 -1575}\special{fp}\special{pa 390 -1575}\special{pa 429 -1575}\special{fp}% +\special{pa 469 -1575}\special{pa 508 -1575}\special{fp}\special{pa 547 -1575}\special{pa 586 -1575}\special{fp}% +\special{pa 625 -1575}\special{pa 664 -1575}\special{fp}\special{pa 703 -1575}\special{pa 742 -1575}\special{fp}% +\special{pa 781 -1575}\special{pa 820 -1575}\special{fp}\special{pa 859 -1575}\special{pa 898 -1575}\special{fp}% +\special{pa 937 -1575}\special{pa 976 -1575}\special{fp}\special{pa 1015 -1575}\special{pa 1054 -1575}\special{fp}% +\special{pa 1093 -1575}\special{pa 1132 -1575}\special{fp}\special{pa 1171 -1575}\special{pa 1210 -1575}\special{fp}% +\special{pa 1249 -1575}\special{pa 1288 -1575}\special{fp}\special{pa 1328 -1575}\special{pa 1367 -1575}\special{fp}% +\special{pa 1406 -1575}\special{pa 1445 -1575}\special{fp}\special{pa 1484 -1575}\special{pa 1523 -1575}\special{fp}% +\special{pa 1562 -1575}\special{pa 1601 -1575}\special{fp}\special{pa 1640 -1575}\special{pa 1679 -1575}\special{fp}% +\special{pa 1718 -1575}\special{pa 1757 -1575}\special{fp}\special{pa 1796 -1575}\special{pa 1835 -1575}\special{fp}% +\special{pa 1874 -1575}\special{pa 1913 -1575}\special{fp}\special{pa 1952 -1575}\special{pa 1991 -1575}\special{fp}% +\special{pa 2030 -1575}\special{pa 2069 -1575}\special{fp}\special{pa 2108 -1575}\special{pa 2147 -1575}\special{fp}% +\special{pa 2187 -1575}\special{pa 2226 -1575}\special{fp}\special{pa 2265 -1575}\special{pa 2304 -1575}\special{fp}% +\special{pa 2343 -1575}\special{pa 2382 -1575}\special{fp}\special{pa 2421 -1575}\special{pa 2460 -1575}\special{fp}% +\special{pa 2499 -1575}\special{pa 2538 -1575}\special{fp}\special{pa 2577 -1575}\special{pa 2616 -1575}\special{fp}% +\special{pa 2655 -1575}\special{pa 2694 -1575}\special{fp}\special{pa 2733 -1575}\special{pa 2772 -1575}\special{fp}% +\special{pa 2811 -1575}\special{pa 2850 -1575}\special{fp}\special{pa 2889 -1575}\special{pa 2928 -1575}\special{fp}% +\special{pa 2967 -1575}\special{pa 3006 -1575}\special{fp}\special{pa 3045 -1575}\special{pa 3085 -1575}\special{fp}% +\special{pa 3124 -1575}\special{pa 3163 -1575}\special{fp}\special{pa 3202 -1575}\special{pa 3241 -1575}\special{fp}% +\special{pa 3280 -1575}\special{pa 3319 -1575}\special{fp}\special{pa 3358 -1575}\special{pa 3397 -1575}\special{fp}% +\special{pa 3436 -1575}\special{pa 3475 -1575}\special{fp}\special{pa 3514 -1575}\special{pa 3553 -1575}\special{fp}% +\special{pa 3592 -1575}\special{pa 3631 -1575}\special{fp}\special{pa 3670 -1575}\special{pa 3709 -1575}\special{fp}% +\special{pa 3748 -1575}\special{pa 3787 -1575}\special{fp}\special{pa 3826 -1575}\special{pa 3865 -1575}\special{fp}% +\special{pa 3904 -1575}\special{pa 3944 -1575}\special{fp}\special{pa 3983 -1575}\special{pa 4022 -1575}\special{fp}% +\special{pa 4061 -1575}\special{pa 4100 -1575}\special{fp}\special{pa 4139 -1575}\special{pa 4178 -1575}\special{fp}% +\special{pa 4217 -1575}\special{pa 4256 -1575}\special{fp}\special{pa 4295 -1575}\special{pa 4334 -1575}\special{fp}% +\special{pa 4373 -1575}\special{pa 4412 -1575}\special{fp}\special{pa 4451 -1575}\special{pa 4490 -1575}\special{fp}% +\special{pa 4529 -1575}\special{pa 4568 -1575}\special{fp}\special{pa 4607 -1575}\special{pa 4646 -1575}\special{fp}% +\special{pa 4685 -1575}\special{pa 4724 -1575}\special{fp}% +% +\special{pa 197 -1083}\special{pa 220 -1013}\special{pa 244 -947}\special{pa 268 -883}% +\special{pa 291 -822}\special{pa 315 -764}\special{pa 339 -709}\special{pa 362 -656}% +\special{pa 386 -606}\special{pa 409 -560}\special{pa 433 -516}\special{pa 457 -475}% +\special{pa 480 -436}\special{pa 504 -401}\special{pa 528 -368}\special{pa 551 -339}% +\special{pa 575 -312}\special{pa 598 -288}\special{pa 622 -266}\special{pa 646 -248}% +\special{pa 669 -232}\special{pa 693 -220}\special{pa 717 -210}\special{pa 740 -203}% +\special{pa 764 -198}\special{pa 787 -197}\special{pa 811 -198}\special{pa 835 -203}% +\special{pa 858 -210}\special{pa 882 -220}\special{pa 906 -232}\special{pa 929 -248}% +\special{pa 953 -266}\special{pa 976 -288}\special{pa 1000 -312}\special{pa 1024 -339}% +\special{pa 1047 -368}\special{pa 1071 -401}\special{pa 1094 -436}\special{pa 1118 -475}% +\special{pa 1142 -516}\special{pa 1165 -560}\special{pa 1189 -606}\special{pa 1213 -656}% +\special{pa 1236 -709}\special{pa 1260 -764}\special{pa 1283 -822}\special{pa 1307 -883}% +\special{pa 1331 -947}\special{pa 1354 -1013}\special{pa 1378 -1083}% \special{fp}% -\special{pn 8}% -\special{pn 16}% -\special{pa 2362 -1378}\special{pa 2362 -1102}% +\special{pa 1772 -1280}\special{pa 1795 -1210}\special{pa 1819 -1143}\special{pa 1843 -1080}% +\special{pa 1866 -1019}\special{pa 1890 -961}\special{pa 1913 -905}\special{pa 1937 -853}% +\special{pa 1961 -803}\special{pa 1984 -757}\special{pa 2008 -713}\special{pa 2031 -671}% +\special{pa 2055 -633}\special{pa 2079 -598}\special{pa 2102 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-1340}\special{pa 3417 -1277}% +\special{pa 3441 -1216}\special{pa 3465 -1157}\special{pa 3488 -1102}\special{pa 3512 -1050}% +\special{pa 3535 -1000}\special{pa 3559 -953}\special{pa 3583 -909}\special{pa 3606 -868}% +\special{pa 3630 -830}\special{pa 3654 -795}\special{pa 3677 -762}\special{pa 3701 -732}% +\special{pa 3724 -705}\special{pa 3748 -681}\special{pa 3772 -660}\special{pa 3795 -642}% +\special{pa 3819 -626}\special{pa 3843 -613}\special{pa 3866 -603}\special{pa 3890 -596}% +\special{pa 3913 -592}\special{pa 3937 -591}\special{pa 3961 -592}\special{pa 3984 -596}% +\special{pa 4008 -603}\special{pa 4031 -613}\special{pa 4055 -626}\special{pa 4079 -642}% +\special{pa 4102 -660}\special{pa 4126 -681}\special{pa 4150 -705}\special{pa 4173 -732}% +\special{pa 4197 -762}\special{pa 4220 -795}\special{pa 4244 -830}\special{pa 4268 -868}% +\special{pa 4291 -909}\special{pa 4315 -953}\special{pa 4339 -1000}\special{pa 4362 -1050}% +\special{pa 4386 -1102}\special{pa 4409 -1157}\special{pa 4433 -1216}\special{pa 4457 -1277}% +\special{pa 4480 -1340}\special{pa 4504 -1407}\special{pa 4528 -1476}% \special{fp}% -\special{pn 8}% -\special{pa 0 -1378}\special{pa 2362 -1378}% +\special{pa 197 -591}\special{pa 1378 -591}% +\special{fp}% +\special{pa 1772 -591}\special{pa 2953 -591}% +\special{fp}% +\special{pa 3346 -591}\special{pa 4528 -591}% \special{fp}% -\special{pa 0 -1102}\special{pa 39 -1102}\special{fp}\special{pa 77 -1102}\special{pa 116 -1102}\special{fp}% -\special{pa 155 -1102}\special{pa 194 -1102}\special{fp}\special{pa 232 -1102}\special{pa 271 -1102}\special{fp}% -\special{pa 310 -1102}\special{pa 349 -1102}\special{fp}\special{pa 387 -1102}\special{pa 426 -1102}\special{fp}% -\special{pa 465 -1102}\special{pa 503 -1102}\special{fp}\special{pa 542 -1102}\special{pa 581 -1102}\special{fp}% -\special{pa 620 -1102}\special{pa 658 -1102}\special{fp}\special{pa 697 -1102}\special{pa 736 -1102}\special{fp}% -\special{pa 774 -1102}\special{pa 813 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2130 -1102}\special{fp}% -\special{pa 2169 -1102}\special{pa 2207 -1102}\special{fp}\special{pa 2246 -1102}\special{pa 2285 -1102}\special{fp}% -\special{pa 2323 -1102}\special{pa 2362 -1102}\special{fp}% -% \settowidth{\Width}{$D>0$}\setlength{\Width}{-0.5\Width}% \settoheight{\Height}{$D>0$}\settodepth{\Depth}{$D>0$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(2.0000,8.0000){\hspace*{\Width}\raisebox{\Height}{$D>0$}}% -% +\put(2.0000000,5.5000000){\hspace*{\Width}\raisebox{\Height}{$D>0$}}% % \settowidth{\Width}{$D=0$}\setlength{\Width}{-0.5\Width}% \settoheight{\Height}{$D=0$}\settodepth{\Depth}{$D=0$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(6.0000,8.0000){\hspace*{\Width}\raisebox{\Height}{$D=0$}}% -% +\put(6.0000000,5.5000000){\hspace*{\Width}\raisebox{\Height}{$D=0$}}% % \settowidth{\Width}{$D<0$}\setlength{\Width}{-0.5\Width}% 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\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/tablesample1E.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/tablesample1E.tex new file mode 100644 index 00000000000..0a78dad4db2 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/tablesample1E.tex @@ -0,0 +1,184 @@ +%%% fig.tex 2014-12-18 15:16 +%%% fig.sce 2014-12-18 15:16 +{\unitlength=5mm% +\begin{picture}% +( 12.00000, 9.00000)( -0.00000, -0.00000)% +\special{pn 8}% +% +\special{pn 16}% +\special{pa 0 -1772}\special{pa 787 -1772}% +\special{fp}% +\special{pn 8}% +\special{pn 16}% +\special{pa 787 -1772}\special{pa 1575 -1772}% +\special{fp}% +\special{pn 8}% +\special{pn 16}% +\special{pa 1575 -1772}\special{pa 2362 -1772}% +\special{fp}% +\special{pn 8}% +\special{pn 16}% +\special{pa 0 0}\special{pa 787 0}% +\special{fp}% +\special{pn 8}% +\special{pn 16}% +\special{pa 787 0}\special{pa 1575 0}% +\special{fp}% +\special{pn 8}% +\special{pn 16}% +\special{pa 1575 0}\special{pa 2362 0}% +\special{fp}% +\special{pn 8}% +\special{pn 16}% +\special{pa 0 -1772}\special{pa 0 -1378}% +\special{fp}% +\special{pn 8}% +\special{pn 16}% +\special{pa 0 -1378}\special{pa 0 -1102}% +\special{fp}% +\special{pn 8}% +\special{pn 16}% +\special{pa 0 -1102}\special{pa 0 0}% +\special{fp}% +\special{pn 8}% +\special{pn 16}% +\special{pa 787 -1772}\special{pa 787 -1378}% +\special{fp}% +\special{pn 8}% +\special{pn 16}% +\special{pa 787 -1378}\special{pa 787 -1102}% +\special{fp}% +\special{pn 8}% +\special{pn 16}% +\special{pa 787 -1102}\special{pa 787 0}% +\special{fp}% +\special{pn 8}% +\special{pn 16}% +\special{pa 1575 -1772}\special{pa 1575 -1378}% +\special{fp}% +\special{pn 8}% +\special{pn 16}% +\special{pa 1575 -1378}\special{pa 1575 -1102}% +\special{fp}% +\special{pn 8}% +\special{pn 16}% +\special{pa 1575 -1102}\special{pa 1575 0}% +\special{fp}% +\special{pn 8}% +\special{pn 16}% +\special{pa 2362 -1772}\special{pa 2362 -1378}% +\special{fp}% +\special{pn 8}% +\special{pn 16}% +\special{pa 2362 -1378}\special{pa 2362 -1102}% +\special{fp}% +\special{pn 8}% +\special{pn 16}% +\special{pa 2362 -1102}\special{pa 2362 0}% +\special{fp}% +\special{pn 8}% +\special{pa 0 -1378}\special{pa 2362 -1378}% +\special{fp}% +\special{pa 0 -1102}\special{pa 39 -1102}\special{fp}\special{pa 77 -1102}\special{pa 116 -1102}\special{fp}% +\special{pa 155 -1102}\special{pa 194 -1102}\special{fp}\special{pa 232 -1102}\special{pa 271 -1102}\special{fp}% +\special{pa 310 -1102}\special{pa 349 -1102}\special{fp}\special{pa 387 -1102}\special{pa 426 -1102}\special{fp}% +\special{pa 465 -1102}\special{pa 503 -1102}\special{fp}\special{pa 542 -1102}\special{pa 581 -1102}\special{fp}% +\special{pa 620 -1102}\special{pa 658 -1102}\special{fp}\special{pa 697 -1102}\special{pa 736 -1102}\special{fp}% +\special{pa 774 -1102}\special{pa 813 -1102}\special{fp}\special{pa 852 -1102}\special{pa 891 -1102}\special{fp}% +\special{pa 929 -1102}\special{pa 968 -1102}\special{fp}\special{pa 1007 -1102}\special{pa 1046 -1102}\special{fp}% +\special{pa 1084 -1102}\special{pa 1123 -1102}\special{fp}\special{pa 1162 -1102}\special{pa 1200 -1102}\special{fp}% +\special{pa 1239 -1102}\special{pa 1278 -1102}\special{fp}\special{pa 1317 -1102}\special{pa 1355 -1102}\special{fp}% +\special{pa 1394 -1102}\special{pa 1433 -1102}\special{fp}\special{pa 1472 -1102}\special{pa 1510 -1102}\special{fp}% +\special{pa 1549 -1102}\special{pa 1588 -1102}\special{fp}\special{pa 1626 -1102}\special{pa 1665 -1102}\special{fp}% +\special{pa 1704 -1102}\special{pa 1743 -1102}\special{fp}\special{pa 1781 -1102}\special{pa 1820 -1102}\special{fp}% +\special{pa 1859 -1102}\special{pa 1898 -1102}\special{fp}\special{pa 1936 -1102}\special{pa 1975 -1102}\special{fp}% +\special{pa 2014 -1102}\special{pa 2052 -1102}\special{fp}\special{pa 2091 -1102}\special{pa 2130 -1102}\special{fp}% +\special{pa 2169 -1102}\special{pa 2207 -1102}\special{fp}\special{pa 2246 -1102}\special{pa 2285 -1102}\special{fp}% +\special{pa 2323 -1102}\special{pa 2362 -1102}\special{fp}% +% +\settowidth{\Width}{$D>0$}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{$D>0$}\settodepth{\Depth}{$D>0$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(2.0000,8.0000){\hspace*{\Width}\raisebox{\Height}{$D>0$}}% +% +% +\settowidth{\Width}{$D=0$}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{$D=0$}\settodepth{\Depth}{$D=0$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(6.0000,8.0000){\hspace*{\Width}\raisebox{\Height}{$D=0$}}% +% +% +\settowidth{\Width}{$D<0$}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{$D<0$}\settodepth{\Depth}{$D<0$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.0000,8.0000){\hspace*{\Width}\raisebox{\Height}{$D<0$}}% +% +% +\settowidth{\Width}{2}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{2}\settodepth{\Depth}{2}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(2.0000,6.3000){\hspace*{\Width}\raisebox{\Height}{2}}% +% +% +\settowidth{\Width}{1}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{1}\settodepth{\Depth}{1}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(6.0000,6.3000){\hspace*{\Width}\raisebox{\Height}{1}}% +% +% +\settowidth{\Width}{0}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{0}\settodepth{\Depth}{The discriminant and the number of intersections}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.0000,6.3000){\hspace*{\Width}\raisebox{\Height}{0}}% + +% +% +\settowidth{\Width}{The discriminant and the number of intersections}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{The discriminant and the number of intersections}\settodepth{\Depth}{The discriminant and the number of intersections}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +%\put(4.0000,10.0000){\hspace*{\Width}\raisebox{\Height}{The discriminant and the number of intersections}}% +\put(6.0000,10.0000){\hspace*{\Width}\raisebox{\Height}{The discriminant and the number of intersections}}% +% +% +\special{pa 98 -738}\special{pa 110 -703}\special{pa 123 -669}\special{pa 135 -636}% +\special{pa 147 -605}\special{pa 159 -576}\special{pa 171 -548}\special{pa 183 -521}% +\special{pa 195 -496}\special{pa 207 -473}\special{pa 219 -450}\special{pa 231 -430}% +\special{pa 243 -411}\special{pa 255 -393}\special{pa 267 -377}\special{pa 279 -362}% +\special{pa 291 -349}\special{pa 303 -337}\special{pa 315 -326}\special{pa 327 -318}% +\special{pa 339 -310}\special{pa 352 -304}\special{pa 364 -300}\special{pa 376 -297}% +\special{pa 388 -295}\special{pa 400 -295}\special{pa 412 -297}\special{pa 424 -300}% +\special{pa 436 -304}\special{pa 448 -310}\special{pa 460 -318}\special{pa 472 -326}% +\special{pa 484 -337}\special{pa 496 -349}\special{pa 508 -362}\special{pa 520 -377}% +\special{pa 532 -393}\special{pa 544 -411}\special{pa 556 -430}\special{pa 568 -450}% +\special{pa 581 -473}\special{pa 593 -496}\special{pa 605 -521}\special{pa 617 -548}% +\special{pa 629 -576}\special{pa 641 -605}\special{pa 653 -636}\special{pa 665 -669}% +\special{pa 677 -703}\special{pa 689 -738}% +\special{fp}% +\special{pa 886 -837}\special{pa 898 -801}\special{pa 910 -767}\special{pa 922 -735}% +\special{pa 934 -704}\special{pa 946 -674}\special{pa 958 -646}\special{pa 970 -620}% +\special{pa 982 -595}\special{pa 994 -571}\special{pa 1006 -549}\special{pa 1018 -528}% +\special{pa 1030 -509}\special{pa 1043 -491}\special{pa 1055 -475}\special{pa 1067 -460}% +\special{pa 1079 -447}\special{pa 1091 -435}\special{pa 1103 -425}\special{pa 1115 -416}% +\special{pa 1127 -409}\special{pa 1139 -403}\special{pa 1151 -398}\special{pa 1163 -395}% +\special{pa 1175 -394}\special{pa 1187 -394}\special{pa 1199 -395}\special{pa 1211 -398}% +\special{pa 1223 -403}\special{pa 1235 -409}\special{pa 1247 -416}\special{pa 1259 -425}% +\special{pa 1271 -435}\special{pa 1284 -447}\special{pa 1296 -460}\special{pa 1308 -475}% +\special{pa 1320 -491}\special{pa 1332 -509}\special{pa 1344 -528}\special{pa 1356 -549}% +\special{pa 1368 -571}\special{pa 1380 -595}\special{pa 1392 -620}\special{pa 1404 -646}% +\special{pa 1416 -674}\special{pa 1428 -704}\special{pa 1440 -735}\special{pa 1452 -767}% +\special{pa 1464 -801}\special{pa 1476 -837}% +\special{fp}% +\special{pa 1673 -935}\special{pa 1685 -900}\special{pa 1697 -866}\special{pa 1709 -833}% +\special{pa 1721 -802}\special{pa 1733 -773}\special{pa 1746 -745}\special{pa 1758 -718}% +\special{pa 1770 -693}\special{pa 1782 -669}\special{pa 1794 -647}\special{pa 1806 -627}% +\special{pa 1818 -607}\special{pa 1830 -590}\special{pa 1842 -573}\special{pa 1854 -559}% +\special{pa 1866 -545}\special{pa 1878 -534}\special{pa 1890 -523}\special{pa 1902 -514}% +\special{pa 1914 -507}\special{pa 1926 -501}\special{pa 1938 -497}\special{pa 1950 -494}% +\special{pa 1962 -492}\special{pa 1975 -492}\special{pa 1987 -494}\special{pa 1999 -497}% +\special{pa 2011 -501}\special{pa 2023 -507}\special{pa 2035 -514}\special{pa 2047 -523}% +\special{pa 2059 -534}\special{pa 2071 -545}\special{pa 2083 -559}\special{pa 2095 -573}% +\special{pa 2107 -590}\special{pa 2119 -607}\special{pa 2131 -627}\special{pa 2143 -647}% +\special{pa 2155 -669}\special{pa 2167 -693}\special{pa 2179 -718}\special{pa 2191 -745}% +\special{pa 2204 -773}\special{pa 2216 -802}\special{pa 2228 -833}\special{pa 2240 -866}% +\special{pa 2252 -900}\special{pa 2264 -935}% +\special{fp}% +\special{pa 197 -394}\special{pa 591 -394}% +\special{fp}% +\special{pa 984 -394}\special{pa 1378 -394}% +\special{fp}% +\special{pa 1772 -394}\special{pa 2165 -394}% +\special{fp}% +\end{picture}}%
\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/tablesample2E.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/tablesample2E.tex new file mode 100644 index 00000000000..a3a602c2c2f --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/tablesample2E.tex @@ -0,0 +1,258 @@ +%%% test.tex 2014-11-26 12:54 +%%% test.sce 2014-11-26 12:54 +{\unitlength=1cm% +\begin{picture}% +( 8.50000, 5.00000)( 0.00000, 0.00000)% +\special{pn 8}% +% +\special{pa 0 -1969}\special{pa 236 -1969}% +\special{fp}% +\special{pa 236 -1969}\special{pa 472 -1969}% +\special{fp}% +\special{pa 472 -1969}\special{pa 866 -1969}% +\special{fp}% +\special{pa 866 -1969}\special{pa 1102 -1969}% +\special{fp}% +\special{pa 1102 -1969}\special{pa 1496 -1969}% +\special{fp}% +\special{pa 1496 -1969}\special{pa 1732 -1969}% +\special{fp}% +\special{pa 1732 -1969}\special{pa 3346 -1969}% +\special{fp}% +\special{pa 0 -709}\special{pa 236 -709}% +\special{fp}% +\special{pa 236 -709}\special{pa 472 -709}% +\special{fp}% +\special{pa 472 -709}\special{pa 866 -709}% +\special{fp}% +\special{pa 866 -709}\special{pa 1102 -709}% +\special{fp}% +\special{pa 1102 -709}\special{pa 1496 -709}% +\special{fp}% +\special{pa 1496 -709}\special{pa 1732 -709}% +\special{fp}% +\special{pa 0 -472}\special{pa 236 -472}% +\special{fp}% +\special{pa 236 -472}\special{pa 472 -472}% +\special{fp}% +\special{pa 472 -472}\special{pa 866 -472}% +\special{fp}% +\special{pa 866 -472}\special{pa 1102 -472}% +\special{fp}% +\special{pa 1102 -472}\special{pa 1496 -472}% +\special{fp}% +\special{pa 1496 -472}\special{pa 1732 -472}% +\special{fp}% +\special{pa 0 -236}\special{pa 236 -236}% +\special{fp}% +\special{pa 236 -236}\special{pa 472 -236}% +\special{fp}% +\special{pa 472 -236}\special{pa 866 -236}% +\special{fp}% +\special{pa 866 -236}\special{pa 1102 -236}% +\special{fp}% +\special{pa 1102 -236}\special{pa 1496 -236}% +\special{fp}% 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+\special{pa 3346 -236}\special{pa 3346 0}% +\special{fp}% +\settowidth{\Width}{$x$}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{$x$}\settodepth{\Depth}{$x$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(0.3000,1.5000){\hspace*{\Width}\raisebox{\Height}{$x$}}% +% +% +\settowidth{\Width}{$0$}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{$0$}\settodepth{\Depth}{$0$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(0.9000,1.5000){\hspace*{\Width}\raisebox{\Height}{$0$}}% +% +% +\settowidth{\Width}{$\cdots$}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{$\cdots$}\settodepth{\Depth}{$\cdots$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(1.7000,1.5000){\hspace*{\Width}\raisebox{\Height}{$\cdots$}}% +% +% +\settowidth{\Width}{$\tfrac{1}{4}$}\setlength{\Width}{-0.5\Width}% 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+\put(4.9000,4.1000){\hspace*{\Width}\raisebox{\Height}{\small{$y$}}}% +% +% +\settowidth{\Width}{\small O}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{\small O}\settodepth{\Depth}{\small O}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(4.8000,1.0000){\hspace*{\Width}\raisebox{\Height}{\small O}}% +% +% +\settowidth{\Width}{$y=x-\sqrt{x}$}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{$y=x-\sqrt{x}$}\settodepth{\Depth}{$y=x-\sqrt{x}$}\setlength{\Height}{\Depth}% +\put(7.9500,2.3200){\hspace*{\Width}\raisebox{\Height}{$y=x-\sqrt{x}$}}% +% +% +\special{pa 236 -472}\special{pa 472 -236}% +\special{fp}% +\special{pa 236 -236}\special{pa 472 -472}% +\special{fp}% +\end{picture}}%
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\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceE.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceE.tex new file mode 100644 index 00000000000..c43602753fb --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceE.tex @@ -0,0 +1,5416 @@ +\documentclass[papersize,a4paper,12pt]{article} +\usepackage{ketpic,ketlayer} +\usepackage{amsmath} +% \usepackage{amsmath,newtxmath} +%\usepackage[dvipdfmx]{graphicx,color} +\usepackage{graphicx,color} +\usepackage{wrapfig} +%\usepackage[dvipdfmx,bookmarks=false,colorlinks=true,linkcolor=blue]{hyperref} +\usepackage[bookmarks=false,colorlinks=true,linkcolor=blue]{hyperref} +\setmargin{20}{20}{15}{25} +\usepackage{setspace} +\usepackage{comment} +\usepackage{bm,enumerate} + +%\newcommand{\cmd}[1]{ +%\begin{center}{\bf\large #1}\end{center} +%\hypertarget{#1}{} +%} + +\newenvironment{cmd}[2]{ +\hypertarget{#2}{} +\begin{center}{\bf\large #1}\end{center} +\begin{description} +}{ +\end{description} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$Command List}\end{flushright} +} + +% item command for this documentation +\newcommand{\itemket}[1]{ +\item[\Ltab{27mm}{#1}] +} + + +\begin{document} +\title{\ketcindy\ Command Reference} +\author{\ketcindy\ Project Team} +\maketitle + +\begin{center} - ver.3.2 -\end{center} + +\hypertarget{index}{} +\tableofcontents + +\newpage + +%===== Plane Figure ===================== + +\section{Plane figure} +%========= Setting and Defining =========== +\subsection{Setting and Defining} + +%========= Setting environment =========== +\subsubsection{Setting environment} + +%----------Ketinit---------------------------------- +\begin{cmd}{Ketinit}{ketinit} +\itemket{Usage}Ketinit(); +\itemket{Description}Generic function to initialize \ketcindy. +\itemket{Examples}\mbox{} + +\verb|Ketinit();|\ \ The work sub folder is set to \verb|"fig"| in the folder of the cindy file.\\ +\verb|Ketinit("");|\ \ The work folder is set to the folder of the cindy file. + +\itemket{Details}\mbox{}\\ +This function should be written at the first line on Draw slot page. In case of space figure (KeTCindy's 3D-mode), write it in the initialization slot page \verb|ketlib|. +\end{cmd} + +%-----------Setfiles--------------------------------- +\begin{cmd}{Setfiles}{setfiles} +\itemket{Usage}Setfiles(filename) +\itemket{Description}Generic function to set the name of texfile. +\itemket{Details}Default file name is working Cinderella file name. +\itemket{Examples}\mbox{} + +If working Cinderella file name is "triangle.cdy" then default files name are "triangle.tex". + +By \verb|Setfiles("grav");| output files name are "grav.tex".\\ + +\end{cmd} + +%----------Setparent---------------------------------- +\begin{cmd}{Setparent}{setparent} +\itemket{Usage}Setparent(filename) +\itemket{Description}Generic function to set the name of texfile by using the Parent push button. +\itemket{Details}There is no default file name when we use the Figpdf() function and the Parent push button, so we have to define the name of output texfile. +\itemket{Examples}\mbox{} + +If working Cinderella file name is "triangle.cdy" , by \verb|Setparent("grav");| +output files name are "triangle.tex" and "grav.tex". PDF name is "grav.pdf". +\end{cmd} + +%-----------Changework--------------------------------- +\begin{cmd}{Changework}{changework} +\itemket{Usage}Changework(name of pass) +\itemket{Description}Generic function to change the working directory(folder). + +Default working directory is "fig". + +\end{cmd} + +%--------Addpackage------------------------------------ +\begin{cmd}{Addpackage}{addpackage} +\itemket{Usage}Addpackage(list of style fies) +\itemket{Description}Generic function to add packages of \TeX\ to the main file for previewing. +\itemket{Details}Basically, \verb|ketpic,ketlayer,amsmath,amssymb,graphicx,color| are used. +\itemket{Examples}\mbox{} + +\verb|Addpackage(["[dvipdfmx]{media9}","[dvipdfmx]{animate}","ketmedia"]);| + +\end{cmd} + +%--------Usegraphics------------------------------------ +\begin{cmd}{Usegraphics}{usegraphics} +\itemket{Usage}Usegraphics("pict2e") +\itemket{Description}This function changes the graphics package to \verb|"pict2e"|. +\itemket{Details}The defaut package is \verb|"tpic"|. +\itemket{Examples}\mbox{}\\ +\verb|Usegraphics("pict2e");| +\end{cmd} + +%========= Drawing and defining =========== +\subsubsection{Drawing and defining} + +%-------Addax------------------------------------- +\begin{cmd}{Addax}{addax} + +\itemket{Usage}Addax(1/0); +\itemket{Description}Generic function to decide axis are drawn or not. +\itemket{Details}If argument is 1, axis are output in the TeX file (default) but there are no axis on the Euclidean view. +\itemket{Examples} \mbox{} + +To draw a triangle. + +\verb| Listplot([B,A,C]);|\\ +\verb| Letter([A,"ne","A",B,"se","B",C,"se","C"]);| + +\begin{center} +\input{Fig/addax1} +\end{center} + +Hide coordinate axes. + +\verb| Addax(0);|\\ +\verb| Listplot([B,A,C,B]);|\\ +\verb| Letter([A,"ne","A",B,"sw","B",C,"se","C"]);| + +\begin{center} +\input{Fig/FigE} +\end{center} +\end{cmd} + +%----------Setax---------------------------------- +\begin{cmd}{Setax}{setax} +\itemket{Usage}Setax(a list of parameters); +\itemket{Description}Generic function to set the style of axis. +\itemket{Details}Parameters are:\\ +1. Style of axis ("l'' ; line(default), "a'' : arrow)\\ +2. Name of horizontal ax ( default is x)\\ +3. Posion of horizontal name (default is "e'')\\ +4. Name of horizontal ax ( default is y)\\ +5. Posion of horizontal name (default is "n'')\\ +6. Name of origin (default is O)\\ +7. Position of origin (default is "sw'') +\itemket{Examples}\mbox{} + +\verb|Setax(["a","","","","","","nw"]);|\\ +\verb|Setax([7,"nw"]);|\\ +\verb|Setax(["a","\theta","","x","w"]);| + +\begin{center} +\input{Fig/setax(theta)} +\end{center} + +\end{cmd} + +%-----------Drwxy--------------------------------- +\begin{cmd}{Drwxy}{drwxy} +\itemket{Usage}Drwxy(), Drwxy(options) +\itemket{Description}Generic function to draw axis in the \TeX\ figure. +\itemket{Details}\mbox{}\\ +By default the axes are drawn last. Use this function when axis should be drawn in the middle of commands. There are no axis on the Euclidean view. + +Options is a list of ["Origin=", "Xrng=", "Yrng="]. +\itemket{Examples}\mbox{} + +To draw a point in the void mode. + +\verb|Setax([7,"se"]);|\\ +\verb|Setpt(8);|\\ +\verb|Drwpt([-pi,0],0);|\\ +\verb|Drwxy();|\\ +\verb|Plotdata("1","sin(x)","x",["dr","Num=300"]);|\\ +\verb|Drwpt([pi,0],0);| + +\begin{center} +\input{Fig/drwxy} +\end{center} +\end{cmd} + +%-----------Definecolor--------------------------------- +\begin{cmd}{Definecolor}{definecolor} +\itemket{Usage}Definecolor(name of a color,colorcode) +\itemket{Description}Generic function to define the name of colorcode in the \TeX\ figure. +\itemket{Examples}\mbox{} + +\verb|Definecolor("darkmaz",[0.8,0,0.8]);|\\ +\verb|Setcolor("darkmaz");| + +\end{cmd} + +%---------Setcolor----------------------------------- +\begin{cmd}{Setcolor}{setcolor} +\itemket{Usage}Setcolor(color,options) +\itemket{Description}Generic function to set the color of figures and characters in the \TeX\ figure. +\itemket{Examples}\mbox{} + +\verb|Setcolor([1,0,0]);|\\ +\verb|Circledata([A,D],["Rng=[0,pi/3]"]);|\\ +\verb|Arrowhead(E,[-1,0.8],[2,1]);| + +\verb|Setcolor("red",opacity);|\\ +\hspace*{20mm} opacity is real number from 0 to 1 + +\itemket{Remark}You can also use color option in each command of drawing. + +\verb|Circledata([A,D],["Rng=[0,pi/3]","Color=[1,0,0]"]);|\\ +\verb|Arrowhead(E,[-1,0.8],[2,1],"Color=[1,0,0]");| + +\begin{center} +\includegraphics[bb=0 0 161 134,width=35mm]{Fig/setcolor.pdf} +\end{center} + +Refer to Color table on Appendix. + +\end{cmd} + +%----------Deffun---------------------------------- +\begin{cmd}{Deffun}{deffun} +\itemket{Usage}Deffun(name of a function,a list of commands); +\itemket{Description}Generic function to define a function common to both Cindyscript and R. +\itemket{Examples}\mbox{} + +$f(x)=\dfrac{1}{x^2+1}$ + +\vspace{\baselineskip} +\verb|Deffun("f(x)",["regional(y)","y=1/(x^2+1)","y"]);|\\ +\verb|Plotdata("1","f(x)","x");| + +\vspace{\baselineskip} +\hspace{20mm}\input{Fig/deffun01} + +$f(x)=\left\{\begin{array}{l}1 (x\geq 0)\\ -1 (x<0)\\ \end{array}\right.$ + +\vspace{\baselineskip} +\verb|Deffun("f(x)",["regional(y)","if(x>=0,y=1,y=-1)","y"]);|\\ +\verb|Plotdata("1","f(x)","x",["Dis=1","Num=100"]);| + +\vspace{\baselineskip} +\hspace{20mm}\input{Fig/deffun02} + +"If" command can be nesting. + +\vspace{\baselineskip} +\verb|Deffun("f(x)",["regional y","if(x>1,y=1,if(x>-1,y=x,y=-1))","y"]);| + +\vspace{\baselineskip} +\hspace{20mm}\input{Fig/deffun03} + +\end{cmd} + +%----------Defvar---------------------------------- +\begin{cmd}{Defvar}{defvar} +\itemket{Usage}Defvar([name,value,...]); +\itemket{Description}Generic function to define variables common to both Cindyscript and R. +\itemket{Examples}\mbox{} + +\begin{tabbing} +123456789012345678901234\=\kill +\verb|Defvar(["const",3]);| \> //const=3;\\ +\verb|Defvar(["a",3,"b",1]);| \> //a=3;b=1; +\end{tabbing} + +\end{cmd} + +%-----------Fontsize--------------------------------- +\begin{cmd}{Fontsize}{fontsize} +\itemket{Usage}Fontsize(size symbol) +\itemket{Description}Generic function to define the font size in the \TeX\ figure. +\itemket{Details}The symbol is \verb|"t", "ss", "f", "s", "n", "la", "La", "LA", "h", "H"|. +\itemket{Examples}\mbox{} + +\verb|Ptsize(2);|\\ +\verb|Drawpoint([A,B,C,D,E,F,G]);|\\ +\verb|Fontsize("t"); Letter([A,"s2","A"]);|\\ +\verb|Fontsize("ss"); Letter([B,"s2","B"]);|\\ +\verb|Fontsize("s"); Letter([C,"s2","C"]);|\\ +\verb|Fontsize("la"); Letter([D,"s2","D"]);|\\ +\verb|Fontsize("La"); Letter([E,"s2","E"]);|\\ +\verb|Fontsize("h"); Letter([F,"s2","F"]);|\\ +\verb|Fontsize("H"); Letter([G,"s2","G"]);| + +\begin{center} +\input{Fig/fontsize} +\end{center} + +\end{cmd} + +%-----------Ptsize--------------------------------- +\begin{cmd}{Ptsize}{ptsize} +\itemket{Usage}Ptsize(ratio); +\itemket{Description}Generic funtion to set the size of points. +\itemket{Details}This function is same as Setpt().\\ +\end{cmd} + +%-----------Setpt--------------------------------- +\begin{cmd}{Setpt}{setpt} +\itemket{Usage}Setpt(ratio); +\itemket{Description}Generic funtion to set the size of points. +\itemket{Details}''ratio'' is the ratio from the standard size.\\ +Size can be change as a option of ``Pointdata''. +\itemket{Examples}\mbox{} + +\verb|Pointdata("1",A,["Size=1"]);|\\ +\verb|Pointdata("2",B,["Size=2"]);|\\ +\verb|Pointdata("3",C,["Size=3"]);|\\ +\verb|Pointdata("4",D,["Size=4"]);| + +\hspace{20mm}\input{Fig/pointsize} + +\end{cmd} + +%------------Setmarklen-------------------------------- +\begin{cmd}{Setmarklen}{setmarklen} +\itemket{Usage}Setmarklen(real number) +\itemket{Description}Generic function to set the length of tickmarks on the axsis. +\itemket{Details}Set the length of tickmarks on the axsis when we use the functions \hyperlink{htickmark}{Htickmark()} and Vtickmark().\\ +\end{cmd} + +%-------------Setorigin------------------------------- +\begin{cmd}{Setorigin}{setorigin} +\itemket{Usage}Setorigin(coordinate) +\itemket{Description}Generic function to set or transtate the coordinate of apparent origin. +\itemket{Examples}\mbox{} + +\verb|Setorigin([3,2]);|\\ +if A is identification name of some point, +\verb|Setorigin(A);|\\ +\itemket{Remark} Coordinate system is not changed as the following examples.\\ +\itemket{Examples}\mbox{} + +The coordinate of apparent origin is $(3,2)$ but we use the original coordinate system in the script.\\ +\verb| Setorigin([3,2]);|\\ +\verb| Listplot([A,B,C,A]);|\\ +\verb| Ptsize(3);|\\ +\verb| Drawpoint([1,1]);|\\ +\verb| Letter([[1,1],"s2","P"]);|\\ + + Left figure is Euclidean view, right figure is the result of \TeX. + +\begin{center} +\includegraphics[bb=0 0 227 205 , width=4cm]{Fig/setorigin.pdf}\hspace{10mm}% +\input{Fig/setorigin} +\end{center} + +\end{cmd} + +%------------Setpen-------------------------------- +\begin{cmd}{Setpen}{setpen} +\itemket{Usage}Setpen(real number) +\itemket{Description}Generic function to set the thickness of lines. + +\end{cmd} + +%------------Setscaling-------------------------------- +\begin{cmd}{Setscaling}{setscaling} +\itemket{Usage}Setscaling(scale) +\itemket{Description}Generic function to set the scale of vertical direction. +Argument is real number or list. If it is a real number, vertical scaling. If the list [a, b], scaling a in the horizontal direction and b in the vertical direction. +\itemket{Examples}\mbox{} + +\verb|Setscaling(0.5);|\\ +\verb|Plotdata("1","-2*x^2+10*x","x");|\\ +\verb|p1=[5/2,0]; p2=[5/2,25/2]; p3=[0,25/2];|\\ +\verb|Listplot(``1'',[p1,p2,p3],["da"]);|\\ +\verb|Expr([[5,0],"s2w","5",p3,"w2","\frac{25}{2}",p1,"s4","\frac{5}{2}"]);| + +\begin{center} +\input{Fig/setscaling} +\end{center} +\end{cmd} + +%-----------Setunitlen--------------------------------- +\begin{cmd}{Setunitlen}{setunitlen} +\itemket{Usage}Setunitlen(scale); +\itemket{Description}Generic function to set the scale of unit length. (default is 1cm)\\ +It is recommended to put this function to the beginning of a script. +\itemket{Examples}\mbox{} + +\verb|Setunitlen("8mm");|\\ +\end{cmd} + +%--------------Setwindow------------------------------ +\begin{cmd}{Setwindow}{setwindow} +\itemket{Usage}Setwindow(range of x , range of y); +\itemket{Description}Generic function to set a output area on a Euclidean view. +\itemket{Details}A output area is normally specified by a rectangle with SW and NE as diagonal two vertices. (i.e range of x is [XMIN,XMAX] and range of y is [YMIN,YMAX]) By dragging these two vertices on a Euclidean view, we can change the output area. This command is used to set the window manually and fix it. +\itemket{Examples}\mbox{} + +\verb|Setwindow([-5,5],[-1,3]);| + +\vspace{\baselineskip} +\hspace{20mm}\includegraphics[bb=0.00 0.00 415.02 199.01,width=8cm]{Fig/setwindow.pdf} +\end{cmd} + + +%======== Commands for Drawing ============ +\subsection{Commands for Drawing} + +\subsubsection{Options of drawing command} + +\begin{cmd}{Options of drawing command}{options} + +\item Line type + +\begin{tabbing} +1234\=5678901234567\=\kill + \> "dr, n" \>solid line\\ + \> \> n : thickness\\ + \> "da(,m,n)" \>broken line \\ + \> \> m : length, n : gap \\ + \> \>m,n option are not draw Euclidean view and can be omitted.\\ + \> "id(,m,n)" \>broken line start gap.\\ + \> "do(,m,n)" \>dot line\\ + \> \>m : gap, n : thickness +\end{tabbing} + +\item Color + +\hspace{10mm}"Color=col" : col: RGB or CMYK or color name + +\item Num + +\hspace{10mm}"Num=n" : Number of divisions of plotting data + +\vspace{\baselineskip} +\hspace{5mm} Example + +\hspace{10mm} \verb|Plotdata("1","x^2","x",["Color=red","do,2,3","Num=100"]);| + +\item Output +\begin{tabbing} + 1234\=56789012345\=\kill + \> "notex" \>not output to \TeX.\\ + \> "nodisp" \>not output to \TeX and Euclidean view but make PD.\\ + \> "Size=n" \> size of point and thin of line\\ + \> "Num=n" \>Number of PD +\end{tabbing} + +\item Direction + +The direction is represented by e(east : right), w(west: left), n(north : upper), s(south:lower) and c(center). The distance from the specified position can also be given as a numerical value. For example, ''e2'' and ''e3'' are placed twice and three times of the slightly unit distance away from ''e'', respectively. + +\begin{center}\input{Fig/ewns} \end{center} + +\item Others + +In addition, there are options specific to each function. + +\end{cmd} + +%========= Point , line ====================== +\subsubsection{Point, line } + +%---------Pointdata----------------------------------- +\begin{cmd}{Pointdata}{pointdata} +\itemket{Usage}Pointdata(name, point list, options) +\itemket{Description}Generic function to make a point data. +\itemket{Detailse}Options are "Size=", "Color=", "notex/nodisp". +\itemket{Examples}\mbox{} + +\verb|Pointdata("1",[[1,2],[-2,3]]); | // make 2 points (1,2),(-2,3)\\ +\verb|Pointdata("2",[A,B]); | // A and B are draw by drawing tool.\\ +\verb|Pointdata("3",A,["size=4"]); | // size of point A is 4.\\ +\verb|Pointdata("4",[A,B],[0]); | // white circles\\ +\verb|Pointdata("5",[[3,4],[5,6]],["notex"]); | //not draw in the \TeX file.\\ +\verb|Pointdata("6",[[3,4],[5,6]],["nodisp"]);| //not draw \TeX file and Euclidean view.\\ + +Draw node of tree. + +\verb|Ptsize(3);|\\ +\verb|Pointdata("1",[[1,2],[3,4],[5,2]]);|\\ +\verb|Listplot("1",[[0,0],[1,2],[3,4],[5,2],[4,0]]);|\\ +\verb|Listplot("2",[[1,2],[2,0]]);|\\ +\verb|Listplot("3",[[5,2],[6,0]]);|\\ + +\hspace{20mm} \input{Fig/pointdata} + +\itemket{Remark} \hyperlink{mkpttable}{Comparative chart of drawing of points} + +\end{cmd} + +%---------Drwpt ----------------------------------- +\begin{cmd}{Drwpt}{drwpt} +\itemket{Usage}Drwpt(point, option) or Drawpoint(point, options) +\itemket{Description}Draw a point. +\itemket{Details} +The position of point is specified via its coordinate or the name of geometric object. +When the point is to be displayed not only on \TeX\ final output but also on the Euclidean view, you should generate geometric point on the screen. +Also \verb|Pointdata()| or \verb|Putpoint()| can be used. +When several points are to be generated, +the list of them should be given as the argument. +When 0 is input as the option, the point is displayed in a solid-white manner. +\itemket{Examples}\mbox{} + +Draw the points $(1,1)$ and $(4,3)$. + +\verb| Drwpt([[1,1],[4,3]]);|\\ + +After generating points A, B, and C on the Euclidean view, display their image on \TeX\ document. + +\verb| Drwpt([A,B,C]);|\\ + +The endpoint B of segment AB in a solid-white manner. + +\verb| Ptsize(5);|\\ +\verb| Listplot([A,B]);|\\ +\verb| Drawpoint(B,0);| +\begin{center} +\input{Fig/drawpoint} +\end{center} + +\itemket{Remark} \hyperlink{mkpttable}{Comparative chart of drawing of points} + +\end{cmd} + +%--------------Putpoint------------------------------ +\begin{cmd}{Putpoint}{putpoint} +\itemket{Usage}Putpoint(name of point, A, B); +\itemket{Description}Generic function to put a point. +\itemket{Details}Put a point at A. If there already exists a point at A, it is put at B. +\itemket{Examples}\mbox{} + +\verb|Putpoint("P",[1,1]); | // P is fixed point.\\ +\verb|Putpoint("P",[1,1],[P.x,P.y]); | // for a movable point. + +\itemket{Remark} \hyperlink{mkpttable}{Comparative chart of drawing of points} + +\end{cmd} + +%-------------Putintersect------------------------------- +\begin{cmd}{Putintersect}{putintersect} +\itemket{Usage}Putintersect(name of point, PD1 ,PD2, [Number] ) +\itemket{Description}Generic function to make a intersection point of two curves. +\itemket{Details}PD1 and PD2 are plotting data names of two curves. Only one intersection point exists inside the drawing range, we have the point. If there exist many intersection points inside the drawing range then we have the list of coordinates for the points and the message:"Choose point number" on the console. The "Number" argument is this point number. We have to use the function Pointdata() when we need the figure of points in the output \TeX file. +\itemket{Examples}\mbox{} + +In the following example We have three intersection points for a cubic curve and a line. + +\begin{layer}{150}{0} +\putnotese{90}{5}{\input{Fig/putintersect}} +\end{layer} + +\verb|Plotdata("1","x^3-4*x","x",["Num=200"]);|\\ +\verb|Plotdata("2","1/2*x+1","x");|\\ +\verb|Putintersect("P","gr1","gr2",1);|\\ +\verb|Putintersect("Q","gr1","gr2",2);|\\ +\verb|Putintersect("R","gr1","gr2",3);|\\ +\verb|Pointdata("1",[P,Q,R],["size=4"]);| + +If there exist no such points, we have the message:"No intersect point" on the console. + +\end{cmd} + +%-------------PutonCurve------------------------------- +\begin{cmd}{PutonCurve}{putoncurve} +\itemket{Usage}PutonCurve(name of point, PD, options); +\itemket{Description}Generic function to put a point on the curve. +\itemket{Details}Put a point on the curve of PD. +\itemket{Examples}\mbox{} + +\verb|Paramplot("1","[2*cos(t)^3,2*sin(t)^3]","t=[0,2*pi]");|\\ +\verb|PutonCurve("P","gp1",[-1,1]);|\\ +This Point P on the asteroid can be move along the curve on the Euclidean view. + + \begin{center} \input{Fig/putoncurve.tex} \end{center} +\end{cmd} + +%------------PutonLine-------------------------------- +\begin{cmd}{PutonLine}{putonline} +\itemket{Usage}PutonLine(name of point, A, B); +\itemket{Description}Generic function to put a point on the line. +\itemket{Details}Put a point on the straight line through the two points A and B. +\itemket{Examples}\mbox{} + +\verb|PutonLine("P",A,B);| +\end{cmd} + +%--------------PutonSeg------------------------------ +\begin{cmd}{PutonSeg}{putonseg} +\itemket{Usage}PutonSeg(name of point, A, B); +\itemket{Description}Generic function to put a point on the segment. +\itemket{Details}Put a point on the line segment AB. +\itemket{Examples}\mbox{} + +\verb|PutonSeg("P",A,B);| +\end{cmd} + + +%-------------Reflectpoint------------------------------- +\begin{cmd}{Reflectpoint}{reflectpoint} +\item[Usage]Reflectpoint(a point, center or axis of symmetry); +\itemket{Description}Generic function do return the reflect point. +\itemket{Examples}\mbox{} + +\verb|C.xy=Reflectpoint(A,B);|\\ +\verb|D.xy=Reflectpoint(A,[[2,3]]);|\\ +\verb|E.xy=Reflectpoint([-1,1],[[1,0]]);|\\ +\verb|F.xy=Reflectpoint(A,[C,E]);|\\ +\verb|Lineplot([C,E],["do"]);| + +\begin{center} +\input{Fig/reflectpoint} +\end{center} +\end{cmd} + +%-----------Rotatepoint--------------------------------- +\begin{cmd}{Rotatepoint}{rotatepoint} +\itemket{Usage}Rotatepoint(point, angle(degree), center); +\itemket{Description}Generic function to rotate a point. +\itemket{Examples}\mbox{} + +\verb|C.xy=Rotatepoint(A,2*pi/3,B);|\\ +\verb|D.xy=Rotatepoint((5,2),pi/3,B);|\\ +\verb|E.xy=Rotatepoint([3,0],-pi/4,A);| + +\begin{center} +\input{Fig/rotatepoint} +\end{center} +\end{cmd} + +%-----------Scalepoint--------------------------------- +\begin{cmd}{Scalepoint}{scalepoint} +\itemket{Usage}Scalepoint(point, scale, center): +\itemket{Description}Generic function to scale a point. +\itemket{Examples}\mbox{} + +\verb| D.xy=Scalepoint(A,[3,2],[0,0]);|\\ +\verb| E.xy=Scalepoint(A,[3,2],B);|\\ +\verb| F.xy=Scalepoint(A,C.xy,[0,0]);|\\ +\verb| Arrowdata("1",[[0,0],C]);|\\ +\verb| Pointdata("1",[A,B,C,D,E,F],["size=2"]);|\\ +\verb| Letter([A,"e2","A("+A.x+","+A.y+")"]);|\\ +\verb| Letter([B,"e2","B("+B.x+","+B.y+")"]);|\\ +\verb| Letter([C,"e2","C("+C.x+","+C.y+")"]);|\\ +\verb| Letter([D,"e2","D("+D.x+","+D.y+")"]);|\\ +\verb| Letter([E,"e2","E("+E.x+","+E.y+")"]);|\\ +\verb| Letter([F,"e2","F("+F.x+","+F.y+")"]);|\\ + +\begin{center} +\input{Fig/scalepoint} +\end{center} +\end{cmd} + +%-------------Translatepoint------------------------------- +\begin{cmd}{Translatepoint}{translatepoint} +\itemket{Usage}Translatepoint(point, vector); +\itemket{Description}Generic function to translate a point. +\itemket{Examples}\mbox{} + +\verb|C.xy=Translatepoint(A,[2,3]);|\\ +\verb|D.xy=Translatepoint(A,B.xy);| + +\begin{center} +\input{Fig/translatepoint} +\end{center} +\end{cmd} + +%------------Arrowdata-------------------------------- +\begin{cmd}{Arrowdata}{arrow data} +\itemket{Usage}Arrowdata(name,[starting point, ending point] , options) +\itemket{Description}draw an arrow line between two points. + +Options : arrowhead size, arrowhead angle,position,line type,line color.\\ +All options do not always reflect on Euclidean view. +\itemket{Examples}\mbox{} + +\verb|Arrowdata([A,B]);|\\ +\verb|Arrowdata("1",[[2,0],[4,3]],[1,45,0.5]); | //(2,0) to (4,3) , angle : 45$^\circ$\\ +\verb|Arrowdata([C,D],[2,1,1,"dr,2"]);|\\ +\verb|Arrowdata([E,F],["da,0.5"]);|\\ +\verb|Arrowdata([G,H],[2,1,"do,2,3","Color=[1,0,0]"]);| \\% + +\begin{center} +\input{Fig/arrowdata} +\end{center} +\end{cmd} + +%--------------Arrowhead------------------------------ +\begin{cmd}{Arrowhead}{arrowhead} +\itemket{Usage}Arrowhead(point, direction , options) , Arrowhead(point, PD, options) +\itemket{Description}draw an arrowhead with specified direction at a designated point.\\ +Options are: arrowhead size, arrowhead angle,position,shape,position.\\ +\itemket{Examples}\mbox{} + +\begin{layer}{150}{0} +\putnotese{0}{2}{When A is in the position} +\putnotese{0}{9}{as shown below.} +\putnotese{10}{18}{\input{Fig/ForRef-Arrowhead-1}} +\putnotese{60}{9}{(a) \tt Arrowhead(A,[-1,1]);} +\putnotese{60}{16}{(b) \tt Arrowhead([1,1],[-1,1],[2,60]);} +\putnotese{60}{23}{(c) \tt Arrowhead(A,[-1,1],[2,30,"b"]);} +\putnotese{60}{30}{(d) \tt Arrowhead([1,1],[-1,1],[2,20,"lc"]);} +\end{layer} + +\vspace{7mm} + +%\hspace{6mm} +\begin{layer}{150}{0} +\putnotese{17}{32}{(a)} +\putnotese{47}{32}{(b)} +\putnotese{77}{32}{(c)} +\putnotese{107}{32}{(d)} +\putnotese{15}{40}{\input{Fig/ForRef-Arrowhead-2}} +\putnotese{45}{40}{\input{Fig/ForRef-Arrowhead-3}} +\putnotese{75}{40}{\input{Fig/ForRef-Arrowhead-4}} +\putnotese{105}{40}{\input{Fig/ForRef-Arrowhead-5}} +\end{layer} + +\vspace{70mm} + +\vspace{50mm} + +\hspace{7mm} +\begin{layer}{150}{0} +\putnotese{-10}{0}{When D is on the curve crBC } +\putnotese{-10}{5}{as shown below.} +\putnotese{0}{7}{\input{Fig/ForRef-Arrowhead-6}} +\putnotese{16}{22}{crBC} +\putnotese{50}{0}{(e) \tt Arrowhead(D,"crBC");} +\putnotese{50}{7}{(f) \tt Arrowhead(D,"crBC",[2]);} +\putnotese{50}{14}{(g) \tt Arrowhead(D,"crBC",[2,30,"l"]);} +\putnotese{50}{21}{(h) \tt Arrowhead(D,"Invert(crBC)");} +\end{layer} + +\vspace{3mm} +\hspace{6mm} +\begin{layer}{150}{0} +\putnotese{12}{27}{(e)} +\putnotese{42}{27}{(f)} +\putnotese{72}{27}{(g)} +\putnotese{102}{27}{(h)} +\putnotese{10}{28}{\input{Fig/ForRef-Arrowhead-7}} +\putnotese{40}{28}{\input{Fig/ForRef-Arrowhead-8}} +\putnotese{70}{28}{\input{Fig/ForRef-Arrowhead-9}} +\putnotese{100}{28}{\input{Fig/ForRef-Arrowhead-10}} +\end{layer} +\vspace*{6cm} +\end{cmd} + + +%---------Lineplot----------------------------------- +\begin{cmd}{Lineplot}{lineplot} +\itemket{Usage}Lineplot(name, [A, B], options) +\itemket{Description}Draw the straight line through the two points A, B. +\itemket{Details} +The list of two points is given by the coordinates or the geometric elements. \\ +If the list of points is given by geometric elements, "name" can be omitted. \\ +options : "+" means drawing a half straight line. \\ +Both the line type and "+" can be specified as a list. \\ +\item[Example]\mbox{} + +Draw a straight line connecting the coordinates. + +\hspace{5mm}\verb|Lineplot("1",[[0,0],[1,2]]);| + +Draw the two points A, B in the Cinderella main screen and draw a straight line AB. + +\hspace{5mm}\verb|Lineplot([A,B]);| + +Some examples of options. + +\hspace{5mm}\verb|Lineplot([A,B],["dr,0.5","+"]);| // Draw a half line with A as the end point. + +\hspace{5mm}\verb|Lineplot([C,D],["dr,2"]); | // Draw the straight line CD with double thickness. + +\hspace{5mm}\verb|Lineplot([E,F],["da"]); | // Draw the straight line EF as a broken line. + +\hspace{5mm}\verb|Lineplot([G,H],["do"]); | // Draw the straight line GH as a dotted line. + +The results are shown in order from the top left of the next figure. + +\begin{center} +\input{Fig/lineplot} +\end{center} +\end{cmd} + +%-----------Listplot--------------------------------- +\begin{cmd}{Listplot}{listplot} +\itemket{Usage}Listplot(name, a list of points, options) +\itemket{Description}Connect points by line segments. +\itemket{Details} +The list of two points is given by the names of the coordinates or the geometric elements. \\ +If the list of points is given by geometric element names, the name of the plotting data can be omitted. \\ +\item[Example1]\mbox{} +Line style + +\hspace{10mm} \verb|Listplot([A,B]);| + +\hspace{10mm} \verb|Listplot([C,D],["dr,2"]); | + +\hspace{10mm} \verb|Listplot([E,F],["da"]); | + +\hspace{10mm} \verb|Listplot([G,H],["da,3,1"]);| + +\hspace{10mm} \verb|Listplot([K,L],["da,1,3"]);| + +\hspace{10mm} \verb|Listplot([M,N],["do"]); | + +\hspace{10mm} \verb|Listplot([O,P],["do,3"]); | + +\hspace{10mm} \verb|Listplot([Q,R],["do,3,3"]);| + +\hspace{20mm} \includegraphics[bb=0.00 0.00 328.02 157.01,width=8cm]{Fig/listplot3view.pdf} + +\hspace{20mm} \input{Fig/listplot3} + +\item[Example2]\mbox{} +Draw a triangle. \\ +Draw the triangle ABC or simply creating 3 points A, B, C with the Euclidean view. + +\hspace{10mm}\verb|Addax(0);| + +\hspace{10mm}\verb|Listplot([A,B,C,A]);| + +\hspace{20mm}\input{Fig/listplot1} + +The position of the points can be specified by coordinates. +In this case "name" is necessary. + +\hspace{10mm}\verb|Listplot("1",[[0,0],[2,0],[1,2],[0,0]]);| + +\item[Example3]\mbox{} +Expansion of finite Fourier series + +\hspace{20mm}$\displaystyle{\cfrac{\pi}{2}+\sum_{n=0}^{30} \cfrac{1-(-1)^n}{n}\sin nx}$ + +The plotting data is a list of the coordinates of points. Therefore, define the function in Cindyscript as follows, create plotting data \verb|pd| and pass it as argument. \\ + +\verb|f(x):=(|\\ +\verb| s=pi/2;|\\ +\verb# repeat(30,n,s=s+(1-(-1)^n)/n*sin(n*x));#\\ +\verb|);|\\ +\verb|pd=apply(0..200,t,|\\ +\verb| x=-2*pi+t*4*pi/200;|\\ +\verb| [x,f(x)];|\\ +\verb|);|\\ +\verb|Listplot("1",pd);|\\ +\verb|Expr([[-2*pi,-0.5],"s","-2\pi",[-pi,-0.5],"s","-\pi",[pi,-0.5],"s",|\\ +\verb| "\pi",[2*pi,-0.5],"s","2\pi",[0,pi],"w2","\pi"]);|\\ +\begin{center} +\input{Fig/fourier} +\end{center} +There is a limit on the length of the list, so it is impossible to use a long list or to use it many times. +For example, in the Shellpinski gasket using Turtle Graphics, the next size is possible, but in the growth model of plants there are many branches so it can not be a big figure. +We devise a script and divide it into lists of about 200. \\ +\begin{center} +\input{Fig/listplot2} +\end{center} +\end{cmd} + +%--------------Mksegments------------------------------ +\begin{cmd}{Mksegments}{mksegments} +\itemket{Usage}Mksegments() +\itemket{Description}Create plotting data of all geometric segments. +\itemket{Details} +All the line segments drawn by the "Add line segment" tool in the Euclidean view are used as plotting data as they are. +For example, if the line segment AB is created, plotting data \verb|sgAB| is created. +After that, if you change the identification name of point B (for example to Q) in the inspector of the Euclidean view, the plotting data name is also changed. +Even if the line segmen has already been drawn, it can be changed. \\ + +\item[Example]\mbox{} +Examples of geometric progression\\ +Draw a figure of a geometric progression that makes triangles by connecting the midpoints of each edge of a triangle one after another. \\ +First draw the triangle ABC with the "Add line segment" tool in the Euclidean view. \\ +Take the midpoint of each edge with the "Add midpoint" tool in the Euclidean view and connect the midpoints with the "Add line segment" tool in the Euclidean view. \\ +Repeat this process. +If you write \verb|Mksegments();|, you can obtain the data of the figure at the completion of drawing, without writing \verb|Listplot ([A, B, C]);|. \\ +\begin{center} +\includegraphics[bb=0.00 0.00 438.00 327.00,width=5cm]{Fig/gpro01.pdf}\hspace{10mm}\input{Fig/gpro02} +\end{center} +\end{cmd} + +%---------Framedata----------------------------------- + +\begin{cmd}{Framedata}{framedata} +\itemket{Usage}Framedata(name,expr,options) +\itemket{Description}Generic function to draw a rectangle. +\itemket{Details} + +expr type1 : [center,lx,ly] : lx and ly are a half of the horizontal and vertical length. + +expr type2 : [p1, p2] : if p1 and p2 are name of point, 1st argument can be omitted. + +options : usual options and "center"/"corner" (type2). + +\hspace{10mm} If "center", p1 is center, p2 is apex of rectangle. (Default) + +\hspace{10mm} If "corner", p1 and p2 are diagonal point of rectangle. + +\itemket{Examples}\mbox{} + +\verb|Framedata("1"); | // same as \verb|Framedata([SW,NE],["corner"]);|\\ +\verb|Framedata("2",[[0,0],2,2]);|\\ +\verb|Framedata("3",[A,1.5,1.2]); | // left figure\\ +\verb|Framedata([B,C]); | // center figure\\ +\verb|Framedata([D,E],["corner"]); | // right figure +\begin{center}\includegraphics[bb=0.00 0.00 348.15 106.16,width=12cm]{Fig/Framedata.pdf}\end{center} +\itemket{Reference} \hyperlink{ovaldata}{Ovaldata}. +\end{cmd} + + +%------------Polygonplot-------------------------------- +\begin{cmd}{Polygonplot}{polygonplot} +\itemket{Usage}Polygonplot(name, point list, integer, options) +\itemket{Description}Generic function to draw a polygon inscribed inside the circle. +\itemket{Details}If the point list is [A,B] then the center is A and the radius is AB for the circle. Corresponding circle is not drawing. Two points A,B allowed to be coordinates. + +option : If A and B are geometric point , make geometric apex by "Geo=y". + +\itemket{Examples}\mbox{} + +\verb| Addax(0); |\\ +\verb| Polygonplot("1",[[-4,1],[-4,3]],7); |\\ +\verb| Polygonplot("2",[A,B],7); |\\ +\verb| Polygonplot("3",[C,D],7,["Geo=y"]); |\\ + +\hspace{10mm}\includegraphics[bb=0.00 0.00 541.03 175.01,width=10cm]{Fig/polygonplot2.pdf} + +\hspace{10mm}\input{Fig/polygonplot1} + +We can draw the regular polygon whose one side is the line segment AB. + +\verb| n=5;|\\ +\verb| pti=[complex(A),complex(B)];|\\ +\verb| th=2*pi/n;|\\ +\verb| repeat(n-2,s,|\\ +\verb| z1=pti_s;|\\ +\verb| z2=pti_(s+1);|\\ +\verb| z=z2+(z2-z1)*(cos(th)+i*sin(th));|\\ +\verb| pti=append(pti,z);|\\ +\verb| );|\\ +\verb| pt=apply(pti,gauss(#));|\\ +\verb| pt=append(pt,A.xy);|\\ +\verb| Listplot("1",pt);|\\ + +\verb|pti| is the list of complex numbers correspond to each vertex, +\verb|pt| is the list of coordinates of vertexes. + +\end{cmd} + +%=============- Curves line ============ +\subsubsection{Curved line} + +%----------Bezier---------------------------------- +\begin{cmd}{Bezier}{bezier} +\itemket{Usage}Bezier(name,nodes of curve, control points, options) +\itemket{Description}Draw a bezier curve.\\ +For each interval, control points are given in two lists for 3rd-order and one list for 2nd-order Bezier curve.\\ +You can specify the number of division among nodes (default value is 10). + +\itemket{Examples}\mbox{} + +\begin{layer}{150}{0} +\putnotese{50}{15}{bz1} +\putnotese{58}{-10}{\input{Fig/checkbe1}} +\end{layer} + +2nd-order Bezier curve\\ +\verb|Bezier("1",[A,B],[C]);|\\ + +\vspace{15mm} + +\begin{layer}{150}{0} +\putnotese{63}{17}{bzc} +\putnotese{70}{-5}{\input{Fig/checkbe2}} +\end{layer} + +3rd-order Bezier curve\\ +\verb|Bezier("c",[A,B],[C,D]);|\\ + +\vspace{15mm} + +\begin{layer}{150}{0} +\putnotese{65}{20}{bz3} +\putnotese{75}{-5}{\input{Fig/checkbe3}} +\end{layer} + +Connecting two curves,\\ +\verb|Bezier("3",[A,B,C],[[D],[E,F]]);|\\ + +\vspace{20mm} + +\begin{layer}{150}{0} +\putnotese{70}{20}{bzS} +\putnotese{80}{10}{\input{Fig/checkbe4}} +\end{layer} + +Taking D,B,E on a straight line, it connects smoothly.\\ +\verb|Bezier("S",[A,B,C],[[D],[E,F]]);|\\ + +\vspace{25mm} + +\vspace{50mm} + +\begin{layer}{150}{0} +\putnotese{20}{27}{bzname} +\putnotese{25}{10}{\input{Fig/checkbe7}} +\end{layer} + +\verb|Bezier("name",[A,B,C,D],[E,F,G,H,K,L] );|\\ + +\vspace{30mm} + +\begin{layer}{150}{0} +\putnotese{35}{25}{bz1a} +\putnotese{50}{10}{\input{Fig/checkbe5}} +\end{layer} + +\verb|Bezier("1a",[A,B,C],[[D],[E,F]],["Num=3"]);|\\ + +\vspace{30mm} + +\begin{layer}{150}{0} +\putnotese{35}{20}{bzd5e} +\putnotese{50}{10}{\input{Fig/checkbe6}} +\end{layer} + +\verb|Bezier("d5e",[A,B,C],[[D],[E,F]],["Num=200","da"]);|\\ + +\vspace{40mm} + +\begin{layer}{150}{0} +\putnotese{20}{30}{bz1} +\putnotese{20}{13}{\input{Fig/checkbe8}} +\end{layer} + +\verb|Bezier("1",[A,B,C,D],[E,F,G,H,K,L],["Num=[2,3,4]"]);|\\ +\vspace{30mm} +\end{cmd} + +%------------Beziersmooth-------------------------------- +\begin{cmd}{Beziersmooth}{beziersmooth} +\itemket{Usage}Beziersmooth(name, a list of nodes, options); +\itemket{Description}Generic function to draw a smooth B\'ezier curve. +\itemket{Details}Control points are added to keep smoothness. +\itemket{Examples}\mbox{} + +\verb|Beziersmooth("1",[A,B,C,D]);| + +\begin{center} +\input{Fig/checksm1} +\end{center} + +\itemket{Remark}Control points are movable. + +\begin{center} +\input{Fig/checksm2} +\end{center} +\end{cmd} + +%-----------Beziersym--------------------------------- +\begin{cmd}{Beziersym}{beziersym} +\itemket{Usage}Beziersym(name, a list of nodes, options); +\itemket{Description}Generic function to draw a smooth B\'ezier curve. +\itemket{Details}Control points are added to be symmetric with respect to each node. +\itemket{Examples}\mbox{} + +\begin{center} +\input{Fig/checksy1} +\end{center} + +\itemket{Remark}Some control points are movable. + +\begin{center} +\input{Fig/checksy2} +\end{center} +\end{cmd} + +%------------Mkbeziercrv-------------------------------- +\begin{cmd}{Mkbeziercrv}{mkbeziercrv} +\itemket{Usage}Mkbeziercrv(name, [nodes, control points], options) +\itemket{Description}Draw some B\'ezier curves. +\itemket{Details} +In the case of a single B\'ezier curve, \verb|[ ]| outside the list can be omitted. \\ +Mkbeziercrv(name, [nodes, control points], options) is same as Bezier(name, [nodes, control points], options). \\ +\verb|Mkbeziercrv("n",[[A,B,C],[[D],[E,F]]])| is same as \verb|Bezier("n",[A,B,C],|\\ +\verb|[[D],[E,F]])|. +The name of the plotting data is ''bz''. +\item[Example1]\mbox{} + +\verb|Mkbeziercrv("5",[[[A,B,C],[[D],[E,F]]],[[G,H,K,L],[[M],[N,O],[P]]]]);| +\begin{center} +\input{Fig/checkmc1} +\end{center} + +\end{cmd} + +%---------Mkbezierptcrv----------------------------------- +\begin{cmd}{Mkbezierptcrv}{mkbezierptcrv} +\itemket{Usage}Mkbezierptcrv(a list of points, options) +\itemket{Description}Draw a B\'ezier curve. +\itemket{Details} +Arrange the control points automatically. +After that, move the nodes and the control points and correct the B\'ezier curve to what you want to draw. \\ +In the case of multiple curves, \verb|[ ptlist1, ptlist2.... ]|\\ +The name is automatically attached in order from A. \\ +The options are as follows:\\ +"Deg=...â€\hspace{5mm}You can specify the degree (Default is 3rd order). \\ +"Num=..."\hspace{5mm}You can specify the partition number ($\mathrm{the\ partition\ point\ number}-1$) for each section (Default is 10). \\ +\item[Example]\mbox{} + +\verb|Mkbezierptcrv([A,B,C]);| + +\hspace{20mm}\input{Fig/checkb8} + +After that, move the nodes and the control points and correct the B\'ezier curve to what you want to draw. \\ + +\hspace{20mm}\input{Fig/checkb11} + + +\verb|Mkbezierptcrv([A,B,C],["Deg=2"]);|\\ +If Deg = 2, it is the B\'ezier curve of 2nd order. \\ +One control point can be set for each section. \\ + +\hspace{20mm}\input{Fig/checkb9} + +In the case of multiple curves, \verb|[ ptlist1, ptlist2.... ]|\\ +\verb|Mkbezierptcrv([[A,B,C],[D,E,F,G]]);|\\ + +\hspace{10mm}\input{Fig/checkb10} + +\end{cmd} + + +%--------------Bspline------------------------------ +\begin{cmd}{Bspline}{bspline} +\itemket{Usage}Bspline(name ,list of control points, options) +\itemket{Description}Draw second degree B-spline curve. +\itemket{Details}Though not displayed, nodal points are calculated automatically. +\itemket{Examples}\mbox{} + +\verb|Bspline("1",[A,B,C,D,E]);|($=$\verb|Bezier("1",[A,(B+C)/2,(C+D)/2,E],[B,C,D]);|)\\ +The name becomes \verb|bzb1| instead of \verb|bz1|. +Endpoints can be moved instead of control points. +\begin{center} +\input{Fig/checkbs1} +\end{center} + +\verb|Bspline("1",[A,B,C,D,A]);|\\ +The generated curve becomes closed when the first component of the list +is the same as the last one. +\begin{center} +\input{Fig/checkbs2} +\end{center} +\end{cmd} + +%-------CRspline------------------------------------- +\begin{cmd}{CRspline}{crspline} +\itemket{Usage}CRspline(name, list of node points, options) +\itemket{Description}Draw single Catmull-Rom spline curve. +\itemket{Details} +Only node points are free and control points cannot be moved.\\ +Extra options is :\\ +\verb|"size->"| specifies the thickness of line on the Euclidean view. \\ +\itemket{Examples}\mbox{} + +\verb|CRspline("1",[A,B,C,D]);| +\begin{center} +\input{Fig/checkCR} +\end{center} +\end{cmd} + +%----------Ospline---------------------------------- +\begin{cmd}{Ospline}{ospline} + +\itemket{Usage}Ospline(name, a list of control points, options); +\itemket{Description}Generic function to draw a spline curve of Oshima. +%\itemket{Details}If the beginning and end of the list are the same, it is a closed curve. +\itemket{Examples} \mbox{} + +\verb| Ospline("1",[A,B,C,D,E]);| \\ +\verb| Ospline("1",[A,B,C,D,A]);| + + \hspace{20mm} \input{Fig/ospline1} \hspace{10mm} \input{Fig/ospline2} + +\itemket{Reference} \hyperlink{bspline}{Bspline}. +\end{cmd} + +%---------Circledata----------------------------------- +\begin{cmd}{Circledata}{circledata} +\itemket{Usage}Circledata(name, list, options) +\itemket{Description}Draw a circle or polygon. +\itemket{Details} +The list consists of the central point and some point on the circle. +It is also permitted that three points on the circle are given in the list. +The name can be omitted when the central point and a point on the circle +are given with the names of their geometric components.\\ +Options :\\ +\verb|"Rng=[|$\theta_1,\theta_2$\verb|]"| specifies the range of argument +in which the circle is drawn.\\ +\verb|"Num=number of division"| specifies the number of dividing points +used to draw circle. +When this number is small, the corresponding polygon is drawn. + +\itemket{Examples}\mbox{} + +The circle with center \verb|[0,0]| or A and radius 2 ( draw A by drawing tool) + +\verb| Circledata("1",[[0,0],[2,0]]);|\\ +\verb| Circledata("1",[A,A+[2,0]]);|\\ + +The circle with center A and radius AB + +\verb| Circledata([A,B]);|\\ + +The circle which passes through three points A, B, and C + +\verb| Circledata([A,B,C]);|\\ + +When we use \verb|Circledata([A,B,C])|, +the central point of the circle can be drawn by the following command. + +\verb|Pointdata("1",[crABCcenter]);|\\ + +When we add options \verb|"dr,2"|, \verb|"da"|, \verb|"do"|, +the following figures are generated respectively. +\begin{center} +\input{Fig/circledata1} +\end{center} + +The circular arc with center A, radius AB, +and the range of argument $\displaystyle \left[0,\frac{\pi}{3}\right]$ + +\verb|Circledata([A,B],["Rng=[0,pi/3]"]);|\\ + +The sector. + +Draw A, B , C by drawing tool. + +\verb| th=arctan2(B-A);| \\ +\verb| C.xy=Rotatepoint(B,pi/3,A);|\\ +\verb| Circledata([A,B],[Assign("Rng=[th,th+pi/3]","th",th)]);|\\ +\verb| Listplot([B,A,C]);|\\ +\verb| Letter([A,"s","A",B,"e","B",C,"nw","C"]);| + +\begin{center} +\includegraphics[bb=0.00 0.00 180.01 177.01,width=4cm"] {Fig/circledata3.pdf}\hspace{12mm} \input{Fig/circledata2} +\end{center} + +The circle with center A and radius AB, together with the inscribed equilateral hexagon (left figure) + +\verb| Circledata("1",[A,B]);|\\ +\verb| Circledata("2",[A,B],["Num=6"]);|\\ + +The position of vertices can be changed via the option \verb|"Rng="|. (right figure) + +\verb| Circledata("2",[A,B],["Num=6","Rng=[pi/6,13/6*pi]"]);| + +\begin{center} +\input{Fig/circledata4} \hspace{20mm}\input{Fig/circledata5} +\end{center} + +\end{cmd} + +%-------------Mkcircles------------------------------- +\begin{cmd}{Mkcircles}{mkcircles} +\itemket{Usage}Mkcircles() +\itemket{Description}Create plotting data of all geometric circles. +\itemket{Details} +All circles drawn by the "add circle" tool (any one of three types) in the Euclidean view are used as plotting data as they are. +For example, if you create a circle with the center A and the point on the circumference as B, the plotting data \verb|crAB| is created. +After that, if you change the identification name of point B (for example to Q) in the inspector of the Euclidean view, the geometric point name is also changed. +Even if the circle has already been drawn, it can be changed. \\ +\end{cmd} + +%---------Ellipseplot----------------------------------- +\begin{cmd}{Ellipseplot}{ellipseplot} +\itemket{Usage}Ellipseplot(name, [F1,F2,A/a], range, options) +\itemket{Description}Generic function to draw ellipse. +%\itemket{Details} +\itemket{Examples}\mbox{} + +F1,F2 are focus points, A is a point on the ellipse, a is the length F1-A-F2.\\ +Default of the range is [-5,5]. +\itemket{Examples}\mbox{} + +\verb|Ellipseplot("1",[A,B,4]); | //sum of distance from Focus is 4.\\ +\verb|Ellipseplot("1",[A,B,C],"[0,pi]");| //half of ellipse. + +\vspace{\baselineskip} +Now draw tangent and normal. Draw figures by draw tool on Euclidean view. Put point D on tangent and E on normal. + +\verb| Ellipseplot("1",[A,B,C]);|\\ +\verb| Lineplot([C,D]);|\\ +\verb| Lineplot([C,E]);|\\ +\verb| Arrowdata([A,C]);|\\ +\verb| Arrowdata([C,B]);|\\ +\verb| Anglemark([A,C,B]);|\\ +\verb| Expr([A,"s2","F_1",B,"s2","F_2"]);| + +\begin{center} +\includegraphics[bb=0 0 272.01 240.01, width=5cm]{Fig/ellipsecindy.pdf}\hspace{10mm} +\input{Fig/ellipseplot1} +\end{center} + +Now draw point D and E on ellipse. + +\verb| Ellipseplot("1",[A,B,C]);|\\ +\verb| Listplot([A,C,B]);|\\ +\verb| Listplot([A,D,B]);|\\ +\verb| Listplot([A,E,B]);|\\ +\verb| Expr([A,"s2","F_1",B,"s2","F_2"]);| + +\begin{center} +\input{Fig/ellipseplot2} +\end{center} +\end{cmd} + +%----------Hyperbolaplot---------------------------------- +\begin{cmd}{Hyperbolaplot}{hyperbolaplot} +\itemket{Usage}Hyperbolaplot(name,[F1,F2,A], range, options) +\itemket{Description}Generic function to draw a hyperbola. +\itemket{Details}Option is as usual except "Asy=line style".This option is for drawing asymptotes. +\itemket{Reference} \hyperlink{ellipseplot}{Ellipseplot} and \hyperlink{parabolaplot}{Parabolaplot}. +\itemket{Examples}\mbox{} + +\verb|Hyperbolaplot("1",[A,B,C]);|\\ +\verb|Hyperbolaplot("1",[A,B,2]);|\\ +\verb|Hyperbolaplot("1",[A,B,C],["Asy=do"]);| + +\begin{center} +\input{Fig/hyper1} +\end{center} +\end{cmd} + +%--------Parabolaplot------------------------------------ +\begin{cmd}{Parabolaplot}{parabolaplot} + +\itemket{Usage}Parabolaplot(name, [A, B, C], range, options); +\itemket{Description}Generic function to draws a parabola.% determined by the focus and the directrix indicated by the list [A, B, C] of points. +\itemket{Details}A is the focus point, BC is the directrix. +Default of the range is $[-5, 5]$. + +\itemket{Examples} \mbox{} + +\verb|Parabolaplot("1",[A,B,C]); | + +\verb|Parabolaplot("1",[A,B,C],"[-4,4]"); | //range is [-4,4] + +\verb|Parabolaplot("1",[[0,1],[-1,-1],[1,-1]]);| // coordinate + +\vspace{\baselineskip} +Area enclosed by parabola and tangent + +\verb|Parabolaplot("1",[A,B,C]);|\\ +\verb|Putoncurve("D","gr1para");|\\ +\verb|Putoncurve("E","gr1para");|\\ +\verb|Tangentplot("1","gr1para","x="+D.x);|\\ +\verb|Tangentplot("2","gr1para","x="+E.x);|\\ +\verb|pts=Intersectcurves("lntn1","lntn2");|\\ +\verb|Listplot("1",[E,pts_1,D]);|\\ +\verb|Hatchdata("1",["ii"],[["gr1para","s"],["sg1","n"]]);| + +\begin{center} +\input{Fig/parabolaplotE} +\end{center} +\end{cmd} + +%-----------Ovaldata--------------------------------- +\begin{cmd}{Ovaldata}{ovaldata} + +\itemket{Usage}Ovaldata(name, [A, B], options); +\itemket{Description}Generic function to draw a rectangle with rounded corners. +\itemket{Details}A is the center, B is a diagonal point. + +option : ratio of the roundness ( default is 0.2) . + +\itemket{Examples} \mbox{} + +\verb| Ovaldata("1", [A,B]);| \\ +\verb| Ovaldata("2", [C,D],[0]);| \\ +\verb| Ovaldata("3", [E,F],[1,"dr,3"]);| \\ +\verb| Ovaldata("4", [G,H],[1.5,"da"]);| + +\begin{center} +\input{Fig/ovaldata} +\end{center} +\end{cmd} + +%=========== Graph of function ============ +\subsubsection{Graph of function} + +%--------Plotdata------------------------------------ +\begin{cmd}{Plotdata}{plotdata} +\itemket{Usage}Plotdata(name, function, variable and range, options) +\itemket{Description}Generic function to draw the graph of function. +\itemket{Details} +Options : next options and usual options. + +\hspace{20mm} "Dis=real number": discontinuity + +\hspace{20mm} "Exc=list of real numbers": exclusion points + +\hspace{20mm} "Exc=function": exclude the zero points of the function + +\itemket{Examples}\mbox{} + +\verb| Plotdata("1","x^2-2*x","x");|\\ + +\hspace{20mm} \input{Fig/plotdata1}\\ + +Draw in red. + +\verb| Plotdata("1","x^2-2*x","x",["Color=[1,0,0]"]);|\\ + +\verb| Plotdata("3","2*sin(2*x-pi/4)","x=[0,2*pi]");|\\ + +\hspace{20mm} \input{Fig/plotdata2}\\ + +\verb| Plotdata("1","sin(x)","x",["do"]);|\\ +\verb| Plotdata("2","sin(x)+1","x",["da"]);|\\ +\verb| Plotdata("3","sin(x)+2","x",["dr,2"]);|\\ +\verb| Plotdata("4","sin(x)+3","x");|\\ + +\hspace{20mm} \input{Fig/plotdata3}\\ + +Draw smoothly by "Num=n" option. + +Left figure: "Num=50"(default),\quad +Right figure: "Num=200"\\ + +\hspace{20mm}\input{Fig/plotdata4}\\ + +Draw discontinuity accurately by "Dis" option. + +\verb| Plotdata("1","tan(x)","x",["Num=200"]); | // left figure \\ +\verb| Plotdata("1","tan(x)","x",["Num=200","Dis=50"]); | // right figure \\ + +\hspace{20mm}\input{Fig/plotdatatan1}\hspace{20mm}\input{Fig/plotdatatan2} + +\vspace{\baselineskip} +Draw floor function. + +\verb| Plotdata("1","floor(x)","x",["Num=100","Dis=0.9"]); |\\ +\verb| Ptsize(3); |\\ +\verb| Drwxy(); |\\ +\verb| repeat(7,s,start -> -2, |\\ +\verb| Drwpt([s+1,s],0); |\\ +\verb| ); | + +\vspace{\baselineskip} +\hspace{40mm} \input{Fig/plotdata5}\\ + +Assign a value to the letter "b".\\ +\verb| repeat(50,t,|\\ +\verb| cb=t/5-5;|\\ +\verb| Plotdata(text(t),Assign("b*x-b^2","b",cb),"x");|\\ +\verb| );|\\ + +\hspace{40mm} \input{Fig/assign}\\ + +\end{cmd} + +%----------Implicitplot---------------------------------- +\begin{cmd}{Implicitplot}{implicitplot} +\itemket{Usage}Implicitplot(name,functionstring,range of x, range of y, options); +\itemket{Usage}Generic function to draw the graph of a implicit function. +\itemket{Examples}\mbox{} + +\verb| Implicitplot("1","x^2-x*y+2*y^2=4","x=[-3,3]","y=[-2,2]");| + +\begin{center} +\input{Fig/implicit1} +\end{center} + +\verb|Implicitplot("1","x^2+2*y^2=4","x=[-2,2]","y=[-2,2]");|\\ +\verb|Hatchdata("1",["i"],[["imp1"]]);| + +\begin{center} +\input{Fig/implicit} +\end{center} + +\end{cmd} + +%-------Deqplot------------------------------------- +\begin{cmd}{Deqplot}{deqplot} +\itemket{Usage}Deqplot(name, expression, names of variations, options) +\itemket{Description}Draw the solution curve of a differential equation. +\itemket{Details} +The differential equation and its initial conditions should be specified as arguments. +\itemket{Examples}\mbox{} + +The solution curve of the equation $y''=-y$ with initial conditions $y(0)=1,y'(0)=0$ + +\verb|Deqplot("1","y``=-y","x",0, [1,0]);|\\ +\begin{center} +\input{Fig/deqplot1} +\end{center} +\itemket{Remark} Derivative symbol \verb|y`| is a backquate, not a single quote.\\ + +The solution curve of the equation $y'=y*(1-y)$ with initial condition $y(0)=0.5$ + +\verb|Deqplot("2","y`=y*(1-y)","x",0, 0.5,["Num=100"]);|\\ +\begin{center} +\input{Fig/deqplot2} +\end{center} + +The solution curve of the equation $[x,y]'=[x(1-y),0.3y(x-1)]$ of variable $t$ +with initial conditions $x(0)=1, y(0)=0.5$ + +\verb|Deqplot("3","[x,y]`=[x*(1-y),0.3*y*(x-1)]","t=[0,20]",[1,0.5],["Num=200"]);|\\ +\begin{center} +\input{Fig/deqplot3} +\end{center} +\end{cmd} + +%----------Paramplot---------------------------------- +\begin{cmd}{Paramplot}{paramplot} + +\itemket{Usage}Paramaplot(name, expression, variable and domain, options); +\itemket{Description}Generic function to draw a curve of parametric representation.% The head of the plotting data is gp. +%\itemket{Details} +\itemket{Examples} \mbox{} + +Draw a cycloid curve. + +\verb| Paramplot("1","[t-sin(t),1-cos(t)]","t=[0,2*pi]");|\\ + +\begin{center} +\input{Fig//paramplot1} +\end{center} + +Draw ellipses with options.\\ + +\verb| Paramplot("1","[2*cos(t)-5,sin(t)]","t=[0,2*pi]");| \\ +\verb| Paramplot("2","[2*cos(t),sin(t)]","t=[0,2*pi]",["dr,2"]);| \\ +\verb| Paramplot("3","[2*cos(t)+5,sin(t)]","t=[0,2*pi]",["da"]);| \\ +\verb| Paramplot("4","[2*cos(t)+10,sin(t)]","t=[0,2*pi]",["do"]);| + +\begin{center} +\input{Fig//paramplot2} +\end{center} +\end{cmd} + +%----------Polarplot---------------------------------- +\begin{cmd}{Polarplot}{polarplot} + +\itemket{Usage}Polarplot(name, expression, variable and domain, options); +\itemket{Description}This function draws a curve of polar equation. +%\itemket{Details} +\itemket{Examples} To draw a cardioid. + +\verb| Polarplot("1","2*(1+cos(t))","t=[0,2*pi]",["Num=200"]);|\\ + +\begin{center} +\input{Fig//cardioid1} +\end{center} + +\end{cmd} + +%------Periodfun-------------------------------------- +\begin{cmd}{Periodfun}{periodfun} +\itemket{Usage}Periodfun(defL,repeat,options) +\itemket{Description}Function to draw the graph of a periodic function. +\itemket{Details} +\verb|defL| is a list of fun(str),interval,division number.\\ +The options are "Con=n/do, Color=name'' for discontinuous parts. + +ex. "Con=do,Color=red" , " Con=n". Default is broken line and draw. + +Repeat count is a count number or a list of count numbers of left side and right side. + +The return value are a list of function in Maxima format and the period. +\itemket{Remark}The functions should be defined on the symmetrical interval [-a,a]. +\itemket{Examples} \mbox{} + +\verb| defL=["0",[-1,0],1,"1",[0,1],1];|\\ +\verb| Periodfun(defL, 2,["dr,2"]);|\\ +\verb| memori=apply(-5..5,x,[x,text(x)]);|\\ +\verb| memori=flatten(remove(memori,[[0,"0"]]));|\\ +\verb| Htickmark(memori);|\\ +\verb| Vtickmark([1,"1"]);| + +\hspace{20mm}\input{Fig/periodfun.tex} + +\vspace{\baselineskip} +\verb| defL=["0",[-1,0],1,"x^2",[0,1],50];|\\ +\verb| Periodfun(defL, 2, ["Con=n","dr,2"]);|\\ +\verb| memori=apply(-5..5,x,[x,text(x)]);|\\ +\verb| memori=flatten(remove(memori,[[0,"0"]]));|\\ +\verb| Htickmark(memori);|\\ +\verb| Vtickmark([1,"1"]);| + +\hspace{20mm}\input{Fig/periodfun2.tex} + +\end{cmd} + + +%--------Fourierseries------------------------------------ +\begin{cmd}{Fourierseries}{fourierseries} +\itemket{Usage}Fourierseries(name,coeff,period,terms) +\itemket{Description}Function to draw the graph of a fourier series. +\itemket{Details} +$a_0+\displaystyle{\sum _{n=1} ^{\infty}(a_n \cos nx + b_n \sin nx)}$ + +\verb|coeff| is a list of [$a_0, a_n, b_n$]. Each element are string.\\ +\verb|term| is a number of terms. +\itemket{Examples} \mbox{} + +\verb|Fourierseries("1",["1/2","0","(1-(-1)^n)/(pi*n)"],2,6,["Num=200"]);| + +\hspace{20mm}\input{Fig/fourierseries.tex} + +\end{cmd} + + +%-----------Tangentplot--------------------------------- +\begin{cmd}{Tangentplot}{tangentplot} +\itemket{Usage}Tangentplot(name,PD, pointinfo, options); +\itemket{Description}Generic funtion to draw a tangent line of a plotting data. +\itemket{Details} +The pointinfo is one of "x=xvalue","y=yvalue", [point, parameter].\\ +The option "nth" is used to set the number when plotting data has multi intersects. + +\itemket{Examples}\mbox{} + +\verb|Plotdata(`"1","x^2","x")|\\ +\verb|Tangentplot("1","gr1","x=2");|\\ +\verb|Tangentplot("2","gr1","y=1",["Color=red"]);|\\ +\verb|Tangentplot("3","gr1","y=1",[2,"Color=blue"])|\\ + +\begin{center} +\input{Fig/tangent} +\end{center} + +\itemket{Reference} \hyperlink{derivative}{Derivative}. +\end{cmd} + +%==========- Letter ================= +\subsubsection{Letter} + +%-----------Letter--------------------------------- +\begin{cmd}{Letter}{letter} +\itemket{Usage}Letter([position, direction, string]) +\itemket{Description}Display the string. +\itemket{Details} +Write the string at the position specified by position (or coordinates) and direction. \\ +The position (or coordinates) can also be specified by the geometric point name. \\ +The direction is "e", "w", "n", "s", "c". +The distance from the specified position can also be given as a numerical value. For example, ''e2'' and ''e3'' are placed twice and three times of the slightly unit distance away from ''e'', respectively. \\ +Multiple strings can be passed in the form of a list. \\ +\itemket{Remark}\mbox{} +The derivative symbol $'$ uses \$ $'$ \$ (single quart) in mathematical mode (interleaved with two \$ s). +\item[Example]\mbox{} + +\verb|Letter([[2,1] ,"se","P"]); | // Display P in the southeast of the coordinates (2, 1). \\ +\verb|Letter([C ,"c", "C"]); | // Display C with the point C as the center. \\ +\verb|Letter([A,"sw","A",E,"s","$ f(x)=\frac{1}{4} x^2 $"]);| + +\hspace{5mm} //Display A in the southwest of point A and $ f(x)=\frac{1}{4} x^2 $ in the south of the point E. \\ + +\end{cmd} + +%-------Letterrot------------------------------------- +\begin{cmd}{Letterrot}{letterrot} +\itemket{Usage}Letterrot([pos, dir, move, string]) +\itemket{Description}Rotate a string and display it. +\itemket{Details} +At the position of the coordinates, rotate to the direction specified by the direction vector and write the string.\\ +The third argument is a minute movement amount and can be abbreviated.\\ +\item[Example]\mbox{} + +\hspace{10mm}\verb|Letterrot(C,B-A,"t2n5","AB");| + +It is also possible to write as follows, abbreviated for the amount of movement. + +\hspace{10mm}\verb|Letterrot(C,B-A,"AB");| + +\itemket{Reference} \hyperlink{exprrot}{Exprrot}. + +\end{cmd} + +%--------Expr ------------------------------------ +\begin{cmd}{Expr}{expr} +\itemket{Usage}Expr([pos, dir, string]); +\itemket{Description}Generic function to write an expression in \TeX style. +\itemket{Details}pos : position + +\hspace{14mm} dir : direction(e,w,s,n,ne,nw,se,sw,c) + +\hspace{14mm} string : expression\\ + +\hspace{14mm}Also see \hyperlink{letter}{Letter} + +\itemket{Examples}\mbox{} + +\verb|Expr([[-3,3],"e","f(x)=\frac{1}{4}x^2"]);|\\ +\verb|Expr([[3,1.5],"s2e2","f‘(x)=\frac{1}{2}x",[2,0],"s","2",[0,1],"w","1"]);| + +\begin{center} +\input{Fig/expr} +\end{center} + +\verb|Arrowdata(Q,P);|\\ +\verb|Expr([Q,"ne2","\displaystyle\int_a^b \log x\,dx="|\\ +\verb| +text(L.x*(log(L.x)-1)-G.x*(log(G.x)-1))]);| + +\vspace{5mm} + +\begin{center} +\input{Fig/intlog} +\end{center} +\end{cmd} + +%------ Exprrot ------------------------------------- +\begin{cmd}{Exprrot}{exprrot} +\itemket{Usage}Exprrot([pos, dir,[move(optional)], string); +\itemket{Description}Generic function to write a rotated expression in \TeX style. +\itemket{Details}pos : position : coordinate or name + +\hspace{15mm} dir : direction vector : coordinate or name + +\hspace{15mm} move: "t'':tangent , "n":normal + +\hspace{15mm} string : expression +\itemket{Examples}\mbox{} + +\verb|Exprrot(C,B-A,"\frac{2}{3}");|\\ +\verb|Exprrot([3,2],[2,-1],"t0n1","\sqrt{3}");| + +\vspace{\baselineskip} +\vspace{\baselineskip} +\hspace{10mm}\includegraphics[bb=0.00 0.00 181.01 131.01,width=4cm]{Fig/exprrot.pdf} \hspace{10mm} \input{Fig/exprrot} + +\end{cmd} + +%============== Marking ================ +\subsubsection{Marking} + +%------------Anglemark-------------------------------- +\begin{cmd}{Anglemark}{anglemark} +\itemket{Usage}Anglemark( a list of points, options); +\itemket{Description}draw an angle mark with an arc at the angle determined by [A,B,C] + +\hspace{10mm} Options : + +\hspace{15mm} numerical value size of mark (default is 1) + +\hspace{15mm} draw text \verb|"Expr=n,str"| + +\itemket{Examples}\mbox{} + +draw an angle mark at interior angles of a triangle, write characters.\\ +\verb| Listplot([A,B,C,A]);|\\ +\verb| Letter([A,"n1","A",B,"w1","B",C,"e1","C"]);|\\ +\verb| Anglemark([B,A,C]);|\\ +\verb| Anglemark([C,B,A],["Expr=\theta"]);|\\ +\verb| Anglemark([A,C,B],[2,"dr,3","Expr=2,\alpha"]);|\\ + +\begin{center} +\input{Fig/anglemark} +\end{center} +\item{Remark} You can draw an angle mark with a parallelogram. +Refer to \hyperlink{paramark}{Paramark} . +\end{cmd} + +%--------Paramark------------------------------------ +\begin{cmd}{Paramark}{paramark} + +\itemket{Usage}Paramark([A, B, C], options); +\itemket{Description}Generic function to draw an angle mark with a parallelogram at the angle determined by [A,B,C].\\ +Options : numerical value size of mark (default is 1) and usual options. +\itemket{Examples} + +Draw an angle mark at interior angles of a triangle, write characters.\\%\mbox{} + +\verb| Listplot([A,B,C,A]);| \\ +\verb| Paramark([A,B,C]); |\\ +\verb| Paramark([C,A,B],[3,"Expr=\alpha"]); |\\ +\verb| Paramark([B,C,A],["dr,2","Expr=2,\theta"]);| \\ + +\begin{center} +\input{Fig/paramark} +\end{center} + +\itemket{Reference} \hyperlink{anglemark}{Anglemark}. +\end{cmd} + +%------------Bowdata-------------------------------- +\begin{cmd}{Bowdata}{bowdata} +\itemket{Usage}Bowdata(a list of points, options); +\itemket{Description}draw the shape of bow connecting two points in the list counterclockwise +\itemket{Details} + +Options :\\ +curvature (default is 1)\\ +size of the blank space in the middle of bow\\ +expression located at the blank space \verb|"Expr=expressions"|\\ +The location of expressions can be modified via \verb|"Expr=tn, expressions"| where +\verb|t| specifies the movement in the direction of segment and +\verb|n| specifies that of normal direction. +Both positive and negative numbers are permitted.\\ +line type \verb|"dr,n" , "da,m,n" , "do,m,n"| +\itemket{Examples}\mbox{} + +draw the shapes of bow along with the edges of triangle ABC and add marks.\\ +\verb| Listplot([A,B,C,A]);|\\ +\verb| Letter([A,"n1","A",B,"w1","B",C,"e1","C"]);|\\ +\verb| Bowdata([A,B]);|\\ +\verb| Bowdata([B,C],[1,"Expr=t0n3,a"]);|\\ +\verb| Bowdata([C,A],[2,1.2,"Expr=10","da"]);| +\begin{center} +\input{Fig/bowdata} +\end{center} + +Expressions can be displayed in rotated manner +via \verb|"Exprrot=tn,expressions"| +though the Euclidean view does not correspond to this modification. +Adding \verb|r| to \verb|tn| results in the turning round. +\itemket{Examples}\mbox{} + +\verb| Bowdata([B,A],[1,1,"Exprrot=a"]);|\\ +\verb| Bowdata([D,C],[1,1,"Exprrot=t3n0,a"]);|\\ +\verb| Bowdata([F,E],[1,1,"Exprrot=t-3n0,a"]);|\\ +\verb| Bowdata([H,G],[1,1,"Exprrot=t0n3,a"]);|\\ +\verb| Bowdata([L,K],[1,1,"Exprrot=t0n0r,a"]);|\\ +\verb| Bowdata([N,M],[1,1,"Exprrot=t3n0r,a"]);| +\begin{center} +\input{Fig/bowdata2} +\end{center} +\end{cmd} + +%------Drawsegmark-------------------------------------- +\begin{cmd}{Drawsegmark}{drawsegmark} +\itemket{Usage}Drawsegmark(name, list, options) or Segmark(name, list, options) +\itemket{Description}Add a mark to a segment. +\itemket{Details} +Add a mark to the segment determined by the end points specified in the list. +Four kinds of marks can be used.\\ +Extra options :\\ +\verb|"Type=n"| (n=1,2,3,4) specifies the kind of mark.\\ +\verb|"Width="| specifies the distance between two segments of the mark +(in case when $n=2$). +\itemket{Examples}\mbox{} + +\verb|Listplot([A,B,C,D,A]);|\\ +\verb|Segmark("1",[A,B],["Type=1"]);|\\ +\verb|Segmark("2",[B,C],["Type=2","Width=1.5"]);| //width of two lines\\ +\verb|Segmark("3",[C,D],["Type=3"]);|\\ +\verb|Segmark("4",[D,A],["Type=4"]);| +\begin{center} +\input{Fig/segmark} +\end{center} +\end{cmd} + +%--------Htickmark------------------------------------ +\begin{cmd}{Htickmark}{htickmark} +\itemket{Usage}Htickmark([x-coord,[direction(optional)],expression,...]); +\itemket{Description}Generic function to tick on the horizontal axis. +\itemket{Details}Default of direction is \verb|"s1"|. Minor adjustments are not displayed on the Euclidean view, you have to check the results on the PDF file. The length of tickmarks can be set by the function \hyperlink{setmarklen}{Setmarklen()}. +\itemket{Examples}\mbox{} + +\verb|Htickmark([1,"1",2,"n1","2",3,"se","3",4,"4"]);| + +\begin{center} +\input{Fig/htickmark01} +\end{center} + +\verb|ticks=apply(-5..5,x,[x,text(x)]);| // ticks is [ [-5,"5"],...,[5,"5"] ]\\ +\verb|ticks=remove(ticks,[[0,"0"]]); | // [0,"0"] is removed\\ +\verb|ticks=flatten(ticks); | // ticks becomes [-5,"5'',...,5,"5'']\\ +\verb|Htickmark(ticks);| + +\begin{center} +\input{Fig/htickmark} +\end{center} + +\itemket{Reference} \hyperlink{vtickmark}{Vtickmark}. +\end{cmd} + +%------------Vtickmark-------------------------------- +\begin{cmd}{Vtickmark}{vtickmark} +\itemket{Usage}Vtickmark([y-coord,[direction(optional)],expression,...]); +\itemket{Description}Generic function to tick on the vertical axis. +\itemket{Details}Default of direction is \verb|"w1"|. +\itemket{Examples}\mbox{} + +\verb|Vtickmark([1,"1",2,"2"]);| + +\itemket{Reference} \hyperlink{htickmark}{Htickmark}. +\end{cmd} + +%--------------Rulerscale------------------------------ +\begin{cmd}{Rulerscale}{rulerscale} +\itemket{Usage}Rulerscale(starting point, horizontal marks, vertical marks); +\itemket{Description}Generic functio to put ruler marks. +\itemket{Details} + +The marks are give as a list.\\ +\verb|["r",a,b,c,d]| to put marks from \verb|a| to \verb|b| with intervals \verb|c|, scales \verb|d|.\\ +\verb|["f",n1,"str",n2,"str",・・] | to put marks as the same format as Htickmark. +\itemket{Examples1}\mbox{} + +\verb|Listplot("1",[[2,1],[9,1]]);|\\ +\verb|Rulerscale([2,1],["r",2,9,1,10],[]);| + +\begin{center}\input{Fig/ruler1}\end{center} + +\itemket{Examples2}\mbox{} + +\verb|Framedata("1",[A,B],["corner"]);|\\ +\verb|Rulerscale(A,["r",0,5,1],["f",1,"d1",3,"d2"]);| + +\begin{center}\input{Fig/ruler}\end{center} + +\end{cmd} + +%========== Using plotting data =============== +\subsection{Using plotting data} + +%--------------Changestyle------------------------------ +\begin{cmd}{Changestyle}{changestyle} +\itemket{Usage}Changestyle(list of PD, options) +\itemket{Description}Change the option for drawing. +\itemket{Details} +Change the option for drawing several shapes altogether. +\itemket{Examples}\mbox{} + +Draw segment AB and Circle AB with broken line on the Euclidean view +and keep them from being drawn on \TeX\ final output. + +\verb| Listplot([A,B]);|\\ +\verb| Circledata([A,B]);|\\ +\verb| Changestyle(["sgAB","crAB"],["da","notex"]);| + +\end{cmd} + +%--------AddGraph ------------------------------------ +\begin{cmd}{AddGraph}{addgraph} + +\itemket{Usage}AddGraph(name,List of PD,options) +\itemket{Description}Manipulate more than one PD all together. +\itemket{Remark} PD name should be passed as a character string, for example, pass "cr1"' for PD name cr1. + +%\itemket{Details} +\itemket{Examples}\mbox{} +After manipulating PDs of a circle and a point on the circle by AddGraph, you can translate or rotate them together.\\ + +\verb|Setpt(3); |\\ +\verb|Circledata("1",[[0,1],[0,0]]); |\\ +\verb|Pointdata("1",[0,0]); |\\ +\verb|AddGraph("1",["[pt1]","cr1"],["nodisp"]); |\\ +\verb|nn=32; |\\ +\verb|forall(1..nn, |\\ +\verb| t=2*pi/nn*#; |\\ +\verb| Rotatedata(text(#),"ad1",-t,[[0,1],"nodisp"]); |\\ +\verb| Translatedata(text(#),"rt"+text(#),[t,0],["dr,0.3"]); |\\ +\verb|); | + +\begin{center} + \input{Fig/addgraph} +\end{center} + +\end{cmd} + +%------------Invert-------------------------------- +\begin{cmd}{Invert}{invert} +\itemket{Usage}Invert(PD) +\itemket{Description}Rearrange plotting data in the reverse order. +\itemket{Examples}\mbox{} + +See the examples in \hyperlink{shade}{Shade} + +\end{cmd} + +%-------------Joincrvs------------------------------- +\begin{cmd}{Joincrvs}{joincrvs} +\itemket{Usage}Joincrvs(name, list of PDs, options) +\itemket{Description}Create a plotting data of one curve by connecting a list of plotting data of adjacent curves. +\itemket{Details} +The list of curves is specified in the adjacent order. \\ +Options is line type. + +\itemket{Examples}\mbox{} + +Draw the closed curve obtained from the line segment $y=x\ (-\sqrt{2} \leq x \leq \sqrt{2})$ and the half circle, and paint the interior of the closed curve using the yellow color.\\ +Put the point A at the origin and the point B in the appropriate place.\\ +\verb|Plotdata("1","x","x=[-sqrt(2),sqrt(2)]");|\\ +\verb|B.xy=[sqrt(2),sqrt(2)];|\\ +\verb|Circledata("2",[A,B],["Rng=[pi/4,pi/4*5]"]);|\\ +\verb|Joincrvs("1",["gr1","cr2"]);|\\ +\verb|Shade(["join1"],["Color=yellow"]);|\\ +\begin{center} +\input{Fig/joincrvs.tex} +\end{center} +\end{cmd} + + +%--------Partcrv------------------------------------ +\begin{cmd}{Partcrv}{partcrv} +\itemket{Usage}Partcrv(name, A, B, PD, options) +\itemket{Description}Generic function to make a piece of curve from the PD between the points A and B. +\itemket{Details}The order of two points A, B must be same as the direction of the curve.\\ +Options are "dr, n", "da,m,n" or "do,m,n"\\ +\itemket{Examples}\mbox{} + +In the following example We draw a parabola with dotted line and draw a piece of curve with real line.\\ +\verb| Plotdata("1","x^2","x",["do"]);|\\ +\verb| Partcrv("1", [0,0], [1,1], "gr1");| + +\begin{center} +\input{Fig/partcrv1} +\end{center} + +In the next example we draw a piece of circle with real line. The direction of a circle is counterclockwise direction.\\ +\verb| Circledata([A,B], ["do"]);|\\ +\verb| Plotdata("1","x^2","x",["do"]);|\\ +\verb| tmp=Intersectcrvs("crAB","gr1");|\\ +\verb| P.xy=tmp_1;|\\ +\verb| Q.xy=tmp_2;|\\ +\verb| Partcrv("1", P, Q, "crAB");|\\ +\verb| Partcrv("2", Q, P, "crAB");| +\vspace{5mm} + +\begin{center} +\begin{minipage}{45mm} +\begin{center} +\input{Fig/partcrv3}\\ +figure of part1 +\end{center} +\end{minipage} +\hspace{10mm} +\begin{minipage}{45mm} +\begin{center} +\input{Fig/partcrv4}\\ +figure of part2 +\end{center} +\end{minipage} +\end{center} + +In the last example we draw the pice of parabola:$y=x^2$ which is cut off by the circle.\\ +\verb| Circledata("1",[[0,2],[0,0]],["da"]);|\\ +\verb| Plotdata("1","x^2","x",["do"]);|\\ +\verb| tmp=Intersectcrvs("cr1","gr1");|\\ +\verb| Partcrv("2",tmp_2,tmp_1,"gr1",["dr,2"]);| + +\begin{center} +\input{Fig/partcrv} +\end{center} + +\end{cmd} + +%-------- Enclosing ------------------------------------ +\begin{cmd}{Enclosing}{enclosing} +\item[Usage]Enclosing(name, a list of plotdata, options); +\item[Description]This function makes a closed curve form the list of plotdata. +\item[Details]Options are:\\ +near point from start position : Set in case where the first curve and the last curve have multi intersects.\\ +\verb|"dr","da", "do","`notex","nodisp",''Color= "| : as usual. +\item[Examples]\mbox{} + +\verb|Plotdata("1","x^2","x");|\\ +\verb|Lineplot("1",[[0,0],[1,0]]);|\\ +\verb|Lineplot("2",[[2,0],[2,1]]);|\\ +\verb|Enclosing("1",["Invert(gr1)","ln1","ln2"],["nodisp"]);|\\ +\verb|Shade(["en1"],["Color=red"]);| + +\begin{center} +\input{Fig/enclosing} +\end{center} + +\item{Remark}The followings have the opposite direction. + +\verb|Enclosing("1",["ln1","ln2","Invert(gr1)"]);|\\ +\verb|Enclosing("1",["gr1","Invert(ln2)","Invert(ln1)"]);| +\end{cmd} + + +%---------Hatchdata----------------------------------- +\begin{cmd}{Hatchdata}{hatchdata} +\itemket{Usage}Hatchdata(name, a list of "i" or "o" , a list of a list of PD , options) +\itemket{Description}Generic function to draw hatch lines in the close curve. +\itemket{Details}Options are:\\ +\hspace*{5mm}angle(degree,45), interval(ratio,1) of hatches, \\ +\hspace*{5mm}\verb|"Max=(default:20)"| maximum of the number of hatches.\\ +\hspace*{5mm}\verb|"Out=y/n(default:n)"| whether it uses R and make the data file or not. +\itemket{Examples}\mbox{} + + +\verb|Circledata([A,B],["dr"]);|\\ +\verb|Hatchdata("1",["i"],[["crAB"]],["dr,0.7"]);| + +\verb|Circledata([A,B],["dr"]);|\\ +\verb|Paramplot("1","[4*cos(t),2*sin(t)]","t=[0,2*pi]");|\\ +\verb|Paramplot("2","[2*cos(t),4*sin(t)]","t=[0,2*pi]");|\\ +\verb|Hatchdata("1",["ioi"],[["crAB"],["gp1"],["gp2"]],["dr,0.7"]);|\\ +\verb|Hatchdata("2",["iio"],[["crAB"],["gp1"],["gp2"]],["dr,0.7"]);| + +\begin{center} +\input{Fig/hatch1}\hspace{10mm}\input{Fig/hatch2} +\end{center} + +\verb|Plotdata("1","2*sin(x)","x=[-pi,3*pi]",["Num=100"]);|\\ +\verb|Listplot([A,B]);|\\ +\verb|Listplot([A,C]);|\\ +\verb|Hatchdata("1",["ii"],[["sgAB","n"],["gr1","s"]],["dr,0.7"]);|\\ +\verb|Hatchdata("2",["ii"],[["sgAC","s"],["gr1","n"]],["dr,0.7"]);| + +\begin{center} +\input{Fig/hatch3} +\end{center} + +\verb|Plotdata("1","2*sin(x)","x=[-pi,3*pi]",["Num=100"]);|\\ +\verb|Listplot([A,B]);|\\ +\verb|Listplot([A,C]);|\\ +\verb|Hatchdata("1",["iio"],[["sgAB","s"],["sgAC","n"],["gr1","n"]]);| + +\begin{center} +\input{Fig/hatch4} +\end{center} + +\verb|Deffun("f(x)",["regional(y)","y=x^3-2*x","y"]);|\\ +\verb|Plotdata("1","f(x)","x",["Num=100"]);|\\ +\verb|Putoncurve("A","gr1");|\\ +\verb|coef=Derivative("f(x)","x",A.x);|\\ +\verb|Defvar(["coef",coef]);|\\ +\verb|Deffun("g(x)",["regional(y)","y=coef*(x-A.x)+A.y","y"]);|\\ +\verb|Plotdata("2","g(x)","x",["Num=1"]);|\\ +\verb|if(!Ptselected(), // if any point is not selected|\\ +\verb| Enclosing("1",["gr2","Invert(gr1)"],[A,"nodisp"]);|\\ +\verb| Hatchdata("1",["i"],[["en1"]]);|\\ +\verb|);| + +\begin{center} +\input{Fig/hatch5} +\end{center} + +\verb|Circledata([A,B]);|\\ +\verb|Hatchdata("1",["i"],[["crAB"]]);|\\ +\verb|Hatchdata("2",["i"],[["crAB"]],[-40,2]);|// $\mbox{angle}=-40^{\circ}, \mbox{interval}=\times 2$|\\ +\verb|Hatchdata("3",["i"],[["crAB"]],["dr,0.5"]);|\\ +\verb|Hatchdata("4",["i"],[["crAB"]],[-45,2,"dr,0.5"]);| + +\begin{center} +\input{Fig/HatchZuKita1.tex} +\end{center} + +\verb|Lineplot("1",[A,B]);// name of this data is ln1|\\ +\verb|Lineplot("2",[A,C]);|\\ +\verb|Hatchdata("5",["iii"],[["crAB"],["ln1","n"],["ln2","n"]]);|\\ +\verb|Hatchdata("6",["ioo"],[["crAB"],["ln1","n"],["ln2","n"]]);| + +\begin{center} +\input{Fig/HatchZuKita5E.tex}\hspace{10mm}\input{Fig/HatchZuKita6E.tex} +\end{center} + +\verb|Circledata([A,B],["nodisp"]);|\\ +\verb|Hatchdata("7",["i"],[["crAB"]]);|\\ +\verb|Circledata([A,B],["da"]);|\\ +\verb|Hatchdata("8",["i"],[["crAB"]]);| + +\begin{center} +\input{Fig/HatchZuKita7E.tex}\hspace{10mm}\input{Fig/HatchZuKita8.tex} +\end{center} + +%\verb|Hatchdata("9a",["iii"],[["crAB"],["ln1","n"],["ln2","n"]]);|\\ +%\verb|Hatchdata("9b",["ioo"],[["crAB"],["ln1","n"],["ln2","n"]],[90,2]);| +\end{cmd} + +%---------Dotfilldata----------------------------------- +\begin{cmd}{Dotfilldata}{dotfilldata} +\itemket{Usage}Dotfilldata(name, list of the dotted sides "i" or "o", list of PD, option) +\itemket{Description}Fill a domain with dots. +\itemket{Details} +R is called to generate the data. Arguments are the same as Hatchdata. \\ +Option is the density of dots from 0.1 to 0.8 (default is 0.3). +\itemket{Examples}\mbox{} + +A pie chart\\ +After making closed curve via \verb|Partcrv()| and \verb|Enclosing()|, +the surrounded region is filled with dots. + +\verb| r=3;|\\ +\verb| p0=r*[cos(pi/2),sin(pi/2)];|\\ +\verb| p1=r*[cos(-pi/6),sin(-pi/6)];|\\ +\verb| p2=r*[cos(-3*pi/4),sin(-3*pi/4)];|\\ +\verb| Circledata("1",[[0,0],[r,0]]);|\\ +\verb| Listplot("1",[[0,0],p0]);|\\ +\verb| Listplot("2",[[0,0],p1]);|\\ +\verb| Listplot("3",[[0,0],p2]);|\\ +\verb| Partcrv("1",p1,p0,"cr1");|\\ +\verb| Enclosing("1",["sg2","part1","Invert(sg1)"],[[0,0]]);|\\ +\verb| Partcrv("2",p2,p1,"cr1");|\\ +\verb| Enclosing("2",["sg3","part2","Invert(sg2)"],[[0,0]]);|\\ +\verb| Dotfilldata("1",["i"],[["en1"]]);|\\ +\verb| Dotfilldata("2",["i"],[["en2"]],[0.1]);| +\begin{center} +\input{Fig/dotfill} +\end{center} +\end{cmd} + +%-----------Shade--------------------------------- +\begin{cmd}{Shade}{shade} +\itemket{Usage}Shade(("name"),list of PD, options); +\itemket{Description}This function fills a domain surrounded by a closed curve. +\itemket{Details}\mbox{}\\ +If "Invert" is used in some PD, \verb|Enclosing| is used, if not, \verb|Joincrvs| is used as default. +The options are use of enclosing("Enc=y/n") and color. +\itemket{Examples}\mbox{}\\ +\verb|Setax([7,"nw"]);|\\ +\verb|Plotdata("1","2*sin(x)","x",["Num=100"]);|\\ +\verb|Lineplot("1",[[0,1],[1,1]]);|\\ +\verb|Shade(["ln1","Invert(gr1)"],[[2.5,1],"Color=0.2*[0,0,0,1]"]);| + +\begin{center} +\input{Fig/shade} +\end{center} + +\verb|Plotdata("1","x^2-1","x=[-3,3]");|\\ +\verb|Plotdata("2","x^2/2","x=[-3,3]");|\\ +\verb|Shade("1",["gr2","Invert(gr1)"],[[-1.5,1],"Color=[1,0,0]","alpha->0.4"]);| + +\begin{center} +\input{Fig/shade01E} +\end{center} + +\verb|r1=2;|\\ +\verb|r2=1.5;|\\ +\verb|Circledata("1",[A,A+[r1,0]]);|\\ +\verb|Circledata("2",[A,A+[r2,0]]);|\\ +\verb|Listplot("1",[A+[r1,0],A+[r2,0]],["nodisp"]);|\\ +\verb|Shade(["cr1","sg1","Invert(cr2)","Invert(sg1)"],["Enc=n","Color=green"]);| + +\begin{center} +\input{Fig/greenring} +\end{center} + +\itemket{Reference} \hyperlink{joincrvs}{Joincrvs}. +\end{cmd} + +%--------------Reflectdata------------------------------ +\begin{cmd}{Reflectdata}{reflectdata} +\itemket{Usage}Reflectdata(name, PD, center or axis of symmetry, options); +\itemket{Description}Generic function to draw a reflective curve. +\itemket{Details}axis of symmzetry is defined as a list of 2 points. +\itemket{Examples}\mbox{} + +\verb|Circledata([A,B]);|\\ +\verb|Reflectdata("1","crAB",[C]);|\\ +\verb|Reflectdata("2","crAB",[[-1,2]],["dr,2"]);|\\ +\verb|Reflectdata("3","crAB",[D,E],["da"]);| + +\begin{center} +\input{Fig/reflectdata} +\end{center} +\end{cmd} + +%------------Rotatedata-------------------------------- +\begin{cmd}{Rotatedata}{rotatedata} +\itemket{Usage}Rotatedata(name, (a list of )PD, angle(degree), options); +\itemket{Description}Generic function to rotate plotting data. +\itemket{Details}Options are center, and as usual. The default of center is [0,0].\\ +\itemket{Examples}\mbox{} + +\verb|Circledata([A,B]);|\\ +\verb|Rotatedata("1","crAB",pi/2,[C]);|\\ +\verb|Rotatedata("2","crAB",pi/3,[[1,5],"dr,2"]);|\\ +\verb|Rotatedata("3","crAB",-pi/3,[D,"da"]);| + +\begin{center} +\input{Fig/rotatedata} +\end{center} +\end{cmd} + +%---------Scaledata----------------------------------- +\begin{cmd}{Scaledata}{scaledata} +\itemket{Usage}Scaledata(name, list of PD, horizontal ratio, vertical ration, [options]); +\itemket{Description}Generic function to scale plotting data. +\itemket{Details}Options are Center, and as usual. The default of center is [0,0].\\ +\itemket{Examples}\mbox{} + +\verb|Circledata([A,B]);|\\ +\verb|Scaledata("1","crAB",3,2,[[0,0]]);|\\ +\verb|Scaledata("2","crAB",3,2,[C,"dr,2"]);|\\ +\verb|Scaledata("3","crAB",D.x,D.y,[[0,0],"da"]);| + +\begin{center} +\input{Fig/scaledata} +\end{center} +\end{cmd} + +%------------Translatedata-------------------------------- +\begin{cmd}{Translatedata}{translatedata} +\itemket{Usage}Translatedata(name, list of PD, vector, options); +\itemket{Description}Generic function to translate plotting data. +\itemket{Details}Options are Center, and as usual. The default of center is [0,0].\\ +\itemket{Examples}\mbox{} + +\verb|Circledata([A,B]);|\\ +\verb|Translatedata("1","crAB",[2,3]);|\\ +\verb|Translatedata("2","crAB",C,["dr,2"]);|\\ +\verb|Translatedata("3","crAB",D,["da"]);| + +\begin{center} +\input{Fig/translatedata} +\end{center} +\end{cmd} + +%=====Calculus and I/O ============================ +\subsection{Calculus and I/O} + +%-------Derivative------------------------------------- +\begin{cmd}{Derivative}{derivative} +\itemket{Usage}\mbox{}\\ +Derivative(function(string), variable(string), value);\\ +Derivative(PD(string), pointinfo, ([nth of intersects])); +\itemket{Description}Generic funtion to find the derivative of a function or a plotting data. +\itemket{Details} +The pointinfo is one of "x=xvalue","y=yvalue", [point, parameter].\\ +The option of nth is used to set the number when plotting data has multi intersects. + +\itemket{Examples}\mbox{} + +\verb|Deffun("f(x)",["regional(y)","y=x^3-4*x","y"]);|\\ +\verb|coef=Derivative("f(x)","x",A.x);|\\ +\verb|A.y=f(A.x);|\\ +\verb|B.y=coef*(B.x-A.x)+A.y;|\\ +\verb|Plotdata("1","f(x)","x",["Num=200"]);|\\ +\verb|Lineplot([A,B]);|\\ +\verb|Letter([A,"ne","A"]);| + +\begin{center} +\input{Fig/derivative} +\end{center} + +\itemket{Reference} \hyperlink{tangentplot}{Tangentplot}. +\end{cmd} + +%---------Integrate----------------------------------- +\begin{cmd}{Integrate}{integrate} +\itemket{Usage}\mbox{}\\ +Integrate(function or name of PD, "varname=range", [options]); +\itemket{Description}Generic funtion to find the value of numerical integration. +\itemket{Details}Oshima's Bezier formula is used. +\itemket{Examples}\mbox{} + +\verb|f(x):=x^3-2*x^2+2;|\\ +\verb|val=Integrate("f(x)","x=[0,3]");|\\ +\verb|println(val);| // 8.25 will be displyed. + +\verb|plotting data("1","x^3-2*x^2+2","x");|\\ +\verb|println(Integrate("gr1",[0,3]));| +\end{cmd} + +%------------Inversefun-------------------------------- +\begin{cmd}{Inversefun}{inversefun} +\itemket{Usage}Inversefun(function(string), range, value); +\itemket{Description}Generic function to find the value of the inversefunction. +\itemket{Details}The value is found in the range. +\itemket{Examples}\mbox{} + +\verb|x=Inversefun("sin(x)","x=[0,pi/2]",0.5);|\\ +\hspace*{20mm}The value of x is $0.5236$. +\end{cmd} + +%------------Crossprod-------------------------------- +\begin{cmd}{Crossprod}{crossprod} +\itemket{Usage}Crossprod(vec1, vec2); +\itemket{Description}Generic function to return the cross product of 2 vectors. +\itemket{Details}The vectors are a list with length 3 or 2. +\itemket{Examples}\mbox{} + +\verb|v=Crossprod([1,0,0],[1,1,1]);| // The result is v=[0,-1,1]. + +\end{cmd} + +%-----------Dotprod--------------------------------- +\begin{cmd}{Dotprod}{dotprod} +\itemket{Usage}Dotprod(vec1, vec2); +\itemket{Description}Generic function to return the dot product of 2 vectors. +\itemket{Examples}\mbox{} + +\verb|v=Dotprod([1,2,3],[1,-1,1]);| // The result is v=2. +\end{cmd} + +%------------Findarea-------------------------------- +\begin{cmd}{Findarea}{findarea} +\itemket{Usage}Findarea(plotting data( or string of pd )); +\itemket{Description}Generic function to return the area enclosed with a close curve. +\itemket{Details}Oshima's B\'ezier formula is used. +\itemket{Examples}\mbox{} + +\verb|Paramplot("1","[3*cos(t),2*sin(t)]","t=[0,2*pi]");|\\ +\verb|area=Findarea("gp1");|\\ +\verb|println(Sprintf(area,6));| // The result is 18.849536. + +\end{cmd} + +%-----------Findlength--------------------------------- +\begin{cmd}{Findlength}{findlength} +\itemket{Usage}Findlength(plotting data( or string of pd )); +\itemket{Description}Generic function to return the length of a curve. +\itemket{Details}Oshima's B\'ezier formula is used. +\itemket{Examples}\mbox{} + +\verb|Circledata("1",[[0,0],[2,0]]);|\\ +\verb|len=Findlength("cr1");|\\ +\verb|println(Sprintf(len,6));| // The result is 12.558097. +\end{cmd} + + +%-----------Intersectcurves--------------------------------- +\begin{cmd}{Intersectcurves}{intersectcurves} +\itemket{Usage}Intersectcrvs(plotting data1(string), plotting data2(string)); +\itemket{Description}Generic funtion to return a list of intersects of 2 plotting data. +\itemket{Examples}\mbox{} + +\verb|Plotdata("1", "sin(x)", "x", ["Num=100"]);|\\ +\verb|Circledata([A, B]);|\\ +\verb|tmp=Intersectcrvs("gr1","crAB");|\\ +\verb|pP=tmp_1;|\\ +\verb|pQ=tmp_2;| + +\begin{center} +\input{Fig/Intersectcrvs1} +\end{center} +\end{cmd} + +%------------IntersectcurvesPp-------------------------------- +\begin{cmd}{IntersectcurvesPp}{intersectcurvesPp} +\itemket{Usage}IntersectcrvsPp(plotting data1(string), plotting data2(string)); +\itemket{Description}Generic funtion to return a list of intersects with parameters of 2 plotting data. +\itemket{Details}Parameters are positons of the intersect. +\end{cmd} + +%-------------Nearestpt------------------------------- +\begin{cmd}{Nearestpt}{nearestpt} +\itemket{Usage}Nearestpt(plotting data1, plotting data2); +\itemket{Description}Generic funtion to return the nearest point with the parameter and the distance. +\itemket{Examples}\mbox{} + +\verb|Plotdata("1", "x^2+2", "x=[-2,2]");|\\ +\verb|Plotdata("2", "-(x-2)^2+1","x=[0,4]");|\\ +\verb|plist=Nearestpt("gr1","gr2");|\\ +\verb|Listplot("1",plist_1,plist_3);|\\ +\verb|pB=plist_3;| +\itemket{Remark}The returned list is [[0.4,2.16],31,[1.58,0.82],20.73,1.78]. + +\begin{center} +\input{Fig/nearestpt} +\end{center} +\end{cmd} + +%--------------Nearestptcrv------------------------------ +\begin{cmd}{Nearestptcrv}{nearestptcrv} +\itemket{Usage}Nearestptcrv(point1, PD); +\itemket{Description}Generic funtion to return the nearest point on the PD from the point1. +\itemket{Examples}\mbox{} + +\verb|Plotdata("1", "x^2", "x");|\\ +\verb|tmp=Nearestptcrv(A,"gr1");| //Tjhe coordnates will be returned.\\ +\verb|Putpoint("B",tmp);|\\ +\verb|Listplot([A,B],["do"]);| + +\begin{center} +\input{Fig/nearestpt1} +\end{center} + +\itemket{Remark}The return value is [[0.4,2.16],31,[1.58,0.82],20.73,1.78]. +\end{cmd} + +%-------------Numptcrv------------------------------- +\begin{cmd}{Numptcrv}{numptcrv} +\itemket{Usage}Numptcrv (PD) +\itemket{Description}Generic function to return the number of PD. +\itemket{Details}This is the same as \verb|length(PD)|. +\itemket{Examples}\mbox{} + +Compare the order of PD, Implicit() and Paramplot(). ( on Euclidean view ) + +\verb|Slider("A-C-B",[0,-2],[6,-2]); |\\ +\verb|Implicitplot("1","x^2+4*y^2=4","x=[-2,2]","y=[-2,2]",["do"]); |\\ +\verb|Paramplot("1","[2*cos(t)+5,sin(t)]","t=[0,2*pi]",["do","Num=140"]); |\\ +\verb|println([Numptcrv(imp1),Numptcrv(gp1)]);| //display number of PD on console\\ +\verb|n=floor(C.x*2); |\\ +\verb|repeat(n,s,start->0, |\\ +\verb| t=s*10+1; |\\ +\verb| draw(imp1_t,color->hue(s/10)); |\\ +\verb| draw(gp1_t,color->hue(s/10)); |\\ +\verb|); | + +\begin{center} +\includegraphics[bb=0.00 0.00 305.02 133.01,width=8cm]{Fig/numptcrv.pdf} +\end{center} + +\end{cmd} + +%-----------Paramoncurve--------------------------------- +\begin{cmd}{Paramoncurve}{paramoncurve} +\itemket{Usage}Paramoncurve(point, PD) +\itemket{Description}Generic function to return the parameter value of the point on the curve. +\itemket{Details}The integer part is the number of the segment on which the point lies, the fractional part is the position on the segment. +\itemket{Examples}\mbox{} + +\verb|Listplot([A,B,C,A]);|\\ +\verb|Putonseg("D",[B,C]);|\\ +\verb|tmp=Paramoncurve(D,"sgABCA");|\\ +\verb|println(tmp);| // for example display \verb|2.35| on console. + +%\begin{center} +%\input{Fig/paramoncrv} +%\end{center} +\end{cmd} + +%---------Pointoncurve----------------------------------- +\begin{cmd}{Pointoncurve}{pointoncurve} +\itemket{Usage}Pointoncrv(parameter value, plotting data); +\itemket{Description}Generic function to return the point which has the parameter value +\itemket{Examples}\mbox{} + +\verb|Circledata("1",[[0,0],[2,0]],["Num=5","Rng=[0,pi]"]);|\\ +\verb|tmp=Pointoncurve(4.5,"cr1");|\\ +\verb|Pointdata("1",tmp,["Size=3"]);|\\ +\verb|Letter(tmp,"nw","A");| + +\begin{center} +\input{Fig/pointoncrv} +\end{center} +\end{cmd} + +%-----------Ptcrv--------------------------------- +\begin{cmd}{Ptcrv}{ptcrv} +\itemket{Usage}Ptcrv(n,PD); +\itemket{Description}Returns n-th point from PD. +\itemket{Details}Same as \verb|PD_n| of Cindyscript. +\itemket{Examples}\mbox{}\\ +\verb| Circledata([O,P],["do","Num=100","notex"]); |\\ +\verb| Scaledata("1","crOP",4/3,1); |\\ +\verb| F.xy=[-sqrt(7),0]; |\\ +\verb| A=Ptcrv(9,sc1); |\\ +\verb| B=Ptcrv(16,sc1); |\\ +\verb| Listplot("1",[A,F,B],["da"]); |\\ +\verb| Partcrv("1",A,B,"sc1",["dr,3"]); |\\ +\verb| Shade(["part1","sg1"],0.1); |\\ +\verb| Arrowhead(B,"sc1",[1.5]); |\\ +\verb| Letter([A,"ne","A",B,"ne","B",F,"s2","F"]); |\\ +\begin{center}\input{Fig/ptcrv}\end{center} +\end{cmd} + +%-------------Ptstart, Ptend------------------------------- +\begin{cmd}{Ptstart, Ptend}{ptstart, ptend} +\itemket{Usage}Ptstart(PD) , Ptend(PD) +\itemket{Description}Returns start point and end point of PD. respectively. +\itemket{Details} It returns coodinates of point. +\itemket{Examples} +Gets the points at both ends of the graph with limited domain and draw the line segments.\\ +\verb| Deffun("f(x)",["regional(y)","y=x^2","y"]); |\\ +\verb| Plotdata("1","f(x)","x",["do"]); |\\ +\verb| Plotdata("2","f(x)","x=[-1,2]"); |\\ +\verb| Lineplot("1",[Ptstart(gr2),Ptend(gr2)],["do"]); |\\ +\verb| Listplot("1",[Ptstart(gr2),Ptend(gr2)]); |\\ +\verb| Letter([A,"w2","A",B,"e2","B"]); |\\ +\begin{center} \input{Fig/ptstart} \end{center} +\end{cmd} + +%----------ReadOutData---------------------------------- +\begin{cmd}{ReadOutData}{readoutdata} +\itemket{Usage}ReadOutdata(filename); +\itemket{Description}Generic function to read external data of \ketcindy\ format. +\itemket{Details}If the data is outside the working directory, add the path name as the first argument. For example, + +\verb|ReadOutdata("/datafolder","file.txt");| + +\vspace{\baselineskip} +\ketcindy\ format data is next style. + +\verb|variable name// |\\ +\verb|start // | : start of list \\ +\verb|[ , , ], .... // | : coordinates ( 2 or 3 dimension )\\ +\verb|....|\\ +\verb|end// | : end of list\\ +\verb|start// | : start of next list\\ +\verb|....|\\ +\verb|end// |\\ +\verb|variable name// |\\ +\verb|start// |\\ +\verb|… |\\ +\verb|end//// |\\ + +%\itemket{Examples}\mbox{} + + +\itemket{Reference} \hyperlink{writeoutdata}{WriteOutData}. +\end{cmd} + +%------------WriteOutData-------------------------------- +\begin{cmd}{WriteOutData}{writeoutdata} +\itemket{Usage}WriteOutdata(filename, a list of varname and value); +\itemket{Description}Function to write out data in \ketcindy\ format. +\itemket{Details}The file is available commonly from \ketcindy,\ R and C. +\itemket{Examples}\mbox{} + +Write out the plotting data of the parabola and the circle. + +\vspace{\baselineskip} +\verb|Plotdata("1", "x^2","x");|\\ +\verb|Circledata("1",[[0,0],[1,0]]);|\\ +\verb|WriteOutData("figdata.txt",["gr1",gr1,"cr1",cr1]);| + +\vspace{\baselineskip} +The written data is as follows. + +\verb| gr1//|\\ +\verb| start// [[-2.68843,7.22765],[-2.51807,6.34067],・・,[-2.00698,4.02798]]// |\\ +\verb| [[-1.83662,3.37318],[-1.66626,2.77642],・・,[-1.15518,1.33443]]// | + +\hspace{20mm} and so on + +\verb| [[5.82965,33.98479]]//|\\ +\verb| end//|\\ +\verb| cr1//|\\ +\verb| start// [[1,0],[0.99211,0.12533],[0.96858,0.24869],・・,[0.80902,0.58779]]//| + +\hspace{20mm} and so on + +\verb| [[0.87631,-0.48175],[0.92978,-0.36812],・・,[1,0]]//|\\ +\verb| end////| + +\itemket{Reference} See \hyperlink{readoutdata}{ReadOutData}. + +\end{cmd} + +%---------------Extractdata----------------------------- +\begin{cmd}{Extractdata}{extractdata} +\itemket{Usage}Extractdata(dataname,options); +\itemket{Description}Function to add properties to a data. +\itemket{Details}The default properties are ["dr"]. +\itemket{Examples}\mbox{} + +\verb|ReadOutData("figdata.txt");|\\ +\verb|Extractdata("gr1",["da"]);|\\ +\itemket{Reference} See \hyperlink{writeoutdata}{WriteOutData} and \hyperlink{readoutdata}{ReadOutData}. +\end{cmd} + +%========Making Tables========================== +\subsection{Making Tables} + +%------------Tabledata-------------------------------- +\begin{cmd}{Tabledata}{tabledata} +\itemket{Usage}Tabledata("",a list of widths, a list of height,a list of removals,[options]); +\item[Descritption]Table function to draw rules of a table. +\itemket{Details} +The lower left is the origin.\\ +The options are "Rng=y/n"(if "n", command setwindow is not executed) and as usual.\\ +The unit of length is 1/10 of the grid of Euclidean view. The default is 1mm.\\ +Control points are put on the row and column. The names are r0,r1,... and c0,c1,....\\ +The points are movable. +\itemket{Remark}See \verb|Tabledatalight| +\itemket{Examples}\mbox{} + +\verb|xL=[20,20,20,20];|\\ +\verb|yL=[10,10,10,10,10];|\\ +\verb|Tabledata("",xL,yL,[]);| + +\begin{center} +\includegraphics[bb=0.00 0.00 403.52 249.51,height=30mm]{Fig/table01.pdf}\hspace{10mm}\input{Fig/table02} +\end{center} + +\verb|Rmv=["r1c0c1","c3r0r1","c3r3r5","r4c2c4"];|\\ +\verb|Tabledata("",xL,yL,Rmv);| + +\begin{center} +\includegraphics[bb=0.00 0.00 392.02 251.51, height=36mm]{Fig/table03.pdf} +\end{center} +\end{cmd} + +%--------------Tabledatalight------------------------------ +\begin{cmd}{Tabledatalight}{tabledatalight} +\itemket{Usage}Tabledata("",a list of widths, a list of height,a list of removals,[options]); +\itemket{Description}Table function to make a table without geometric points. +\itemket{Details}interval option decides to put names par each interval. +\itemket{Examples}\mbox{} + +\verb|xL=[20,20,20,20];|\\ +\verb|yL=[10,10,10,10,10];|\\ +\verb|Tabledatalight("",xL,yL,[],[2]);|\\ +\end{cmd} + +%--------Changetablestyle------------------------------------ +\begin{cmd}{Changetablestyle}{changetablestyle} +\itemket{Usage}ChangeTablestyle(a list of Rules, [changed style]); +\itemket{Description}Table function to change line styles of rules. +\itemket{Examples}\mbox{} + +\verb|Tabledatalight("",[10,20,10,20],[10,10,10],[]);|\\ +\verb|ChangeTablestyle(["r1c0c4"],["da"]);|\\ +\verb|ChangeTablestyle(["r2c0c2","c1r0r3"],["nodisp"]);| + +\begin{center} +\includegraphics[bb=0.00 0.00 324.00 174.00,height=50mm]{Fig/changetable.pdf} +\end{center} +\end{cmd} + +%-----------Findcell--------------------------------- +\begin{cmd}{Findcell}{findcell} +\itemket{Usage}Findcell(grid name of upper left, grid name of lower right); +\itemket{Description}Table function to return the information of a cell. +\itemket{Details} + +The grid name is, for example, "c0r1".\\ +The result is a list of center, half of width, half of height. + +\itemket{Examples}\mbox{} + +\verb|Tabledatalight("",[10,20,10,20],[10,10,10],[]);|\\ +\verb|tmp=Findcell("c2r0","c3r1");| The return is [[3.5,2.5],0.5,0.5].\\ +\verb|tmp=Findcell("c0r1","c2r3");| The return is [[1.5,1],1.5,1] . +\end{cmd} + +%------------Putcell-------------------------------- +\begin{cmd}{Putcell}{putcell} +\itemket{Usage}Putcell(grid name of upper left, grid name of lower right, postion, a string); +\itemket{Description}Table function to put a string at the cell. +\itemket{Details} +The position is one of \verb|c, r, l, t, b| (center, right, left, top, bottom).\\ +Minute movements can be added. + +\itemket{Examples}\mbox{} + +\verb|xL=apply(1..5,20);|\\ +\verb|yL=apply(1..2,20);|\\ +\verb|rL=["c2r2r3","c5r2r3"];|\\ +\verb|Tabledatalight("",xL,yL,rL);|\\ +\verb|Putcell("c0r0","c1r1","c","A");|\\ +\verb|Putcell("c1r0","c3r1","l2","B");|\\ +\verb|Putcell("c0r1","c2r2","rt","C");|\\ +\verb|Putcell("c3r1","c5r2","lb","D");|\\ + +\begin{center} +\input{Fig/putcellE} +\end{center} +\end{cmd} + +%----------PutcoL---------------------------------- +\begin{cmd}{PutcoL}{putcoL} +\itemket{Usage}PutcoL (column number, position, a list of strings); +\itemket{Description}Table function to put strings to a column. +\itemket{Details} +The position is as \verb|Putcell|.\\ +It's unnecessary to enclose with double quotes in case of numbers.\\ +Null string is available. +\itemket{Reference} \hyperlink{putrow}{Putrow}. +\end{cmd} + +%--------------PutcoLexpr------------------------------ +\begin{cmd}{PutcoLexpr}{putcoLexpr} +\itemket{Usage}PutcoLexpr (column number, position, a list of mathematical expressions); +\itemket{Description}Table function to put strings to a column. +\itemket{Reference} \hyperlink{putrowexpr}{Putrowexpr}. +\end{cmd} + +%-------------Putrow------------------------------- +\begin{cmd}{Putrow}{putrow} +\itemket{Usage}Putrow (row number, position, a list of strings); +\itemket{Description}Table function to put strings to a row. +\itemket{Reference} \hyperlink{putcoL}{PutcoL}. +\end{cmd} + +%--------------Putrowexpr------------------------------ +\begin{cmd}{Putrowexpr}{putrowexpr} +\itemket{Usage}Putrowexpr(row number, position, a list of strings); +\itemket{Description}Table function to put strings to a row. +\itemket{Examples} + +In PutcoLexpr (), Putrowexpr (), formulas and general \TeX sentences can be entered. + +\verb|Tabledata("",5,3,100,45,["c1r1r2","r1c2c3","r2c2c3"]);|\\ +\verb|PutcoL(3,"c",["A","B","C"]);|\\ +\verb|PutcoLexpr(4,"l",["x^2","y=\sqrt{x^3}"]);|\\ +\verb|Putrow(1,"c",[1,"two"]);|\\ +\verb|Putrowexpr(3,"c",["","\frac{\pi}{2}","","","\sum{x^2}"]);|\\ + +\begin{center} +\input{Fig/putcolE} +\end{center} + +\itemket{Remark} r0, c0, ... are numbers displayed on the screen. +\itemket{Examples} + +The graphs can be placed in the cells of the table. These are drawn at the position of the cell. + +\verb|Tabledata("",3,3,120,90,["dr,2"]);|\\ +\verb|ChangeTablestyle(["r1c0c3"],["dr"]);|\\ +\verb|ChangeTablestyle(["r2c0c3"],["da"]);|\\ +\verb|Plotdata("1","(x-2)^2+1.5","x=[0.5,3.5]");|\\ +\verb|Plotdata("2","(x-6)^2+2","x=[4.5,7.5]");|\\ +\verb|Plotdata("3","(x-10)^2+2.5","x=[8.5,11.5]");|\\ +\verb|Listplot([A,B]);|\\ +\verb|Listplot([C,D]);|\\ +\verb|Listplot([E,F]);|\\ +\verb|Putrowexpr(1,"c",["D>0","D=0","D<0"]);|\\ +\verb|Putrow(2,"c",["2","1","0"]);|\\ +\verb|Letter(G,"c","The discriminant and the number of intersections");|\\ + +\begin{center} +\input{Fig/tablesample1E} +\end{center} + +\itemket{Examples}\mbox{} + +\verb|Column=[6,6,10,6,10,6,40];|\\ +\verb|Row=[30,6,6,6];|\\ +\verb|Rmv=["c1r0r1","c2r0r1","c3r0r1","c4r0r1","c5r0r1", "r1c6c7","r2c6c7","r3c6c7"];|\\ +\verb|Tabledata("",Column,Row,Rmv,["dr"]);|\\ +\verb|Tlistplot("23d",["c1r2","c2r3"]);|\\ +\verb|Tlistplot("23u",["c1r3","c2r2"]);|\\ +\verb|Putrowexpr(2,"c",["x",0,"\cdots","\tfrac{1}{4}","\cdots",4]);|\\ +\verb|Putrowexpr(3,"c",["y`","","-",0,"+"]);|\\ +\verb|Putrowexpr(4,"c",["y",0,"\searrow","-\tfrac{1}{4}","\nearrow",2]);|\\ +\verb|Putcell(1,1,"l2t2","{\small\begin{minipage}{44mm}$y=x-\sqrt{x}$\\$y`=|\\ +\verb|\dfrac{2\sqrt{x}-1}{2\sqrt{x}}=0$\vspace{1mm}\\\hspace*{5mm}$x=|\\ +\verb|\dfrac{1}{4}$\vspace{1mm}The following table is obtained.\\\end{minipage}}" );|\\ +\verb|Plotdata("1","x-sqrt(x)","x=[0,3]",["do","notex"]);|\\ +\verb|Listplot("2",[[0,0],[3,0]],["do","notex"]);|\\ +\verb|Listplot("3",[[0,-0.5],[0,3]],["do","notex"]);|\\ +\verb|Translatedata("1","gr1",[4.9,1],["dr"]);|\\ +\verb|Translatedata("2","sg2",[4.9,1],["dr"]);|\\ +\verb|Translatedata("3","sg3",[4.9,1],["dr"]);|\\ +\verb|Letter(Ptend(tr2),"e1","\small{$x$}");|\\ +\verb|Letter(Ptend(tr3),"n1","\small{$y$}");|\\ +\verb|Letter(Ptstart(tr2),"w1","\small O");|\\ +\verb|Expr(Ptend(tr1),"nw-2","y=x-\sqrt{x}");|\\ + +\begin{center} +\input{Fig/tablesample2E} +\end{center} + +\itemket{Examples}\mbox{} + +\verb|Tabledata("",8,4,80,40,[]);|\\ +\verb|Putrowexpr(1,c,["x","\cdots","-1","\cdots","0","\cdots","1","\cdots"]);|\\ +\verb|Putrowexpr(2,c,["y`","+","+","+","0","-","-","-"]);|\\ +\verb|Putrowexpr(3,c,["y``","+","0","-","-","-","0","+"]);|\\ +\verb|Putrowexpr(4,c,["y","\nelarrow","\frac{1}{\sqrt{e}}","\nerarrow",|\\ +\verb|"1","\serarrow","\frac{1}{\sqrt{e}}","\selarrow"]);|\\ + +\begin{center} +\input{Fig/zogen3} +\end{center} + +\itemket{Remark} The arrows here are defined in ketpic.sty.\\ +nelarrow, nerarrow, selarrow, serarrow, NELarrow, NERarrow, SELarrow, SERrarrow\\ +The first ne and se represent northeast and southeast (upper right and lower right), respectively. The next r and l represent the direction of rotation (r: right: counterclockwise, l: left: clockwise).\\ +The straight arrows are NEarrow, SEarrrow. +Since these arrows do not exist in Cindy\TeX, they are not displayed on the drawing surface of Cinderella. +\end{cmd} + +%------------Tgrid-------------------------------- +\begin{cmd}{Tgrid}{tgrid} +\itemket{Usage}Tgrid(grid name); +\itemket{Description}Table function to return the coordinates of the grid name. +\end{cmd} + +%-------------Tlistplot------------------------------- +\begin{cmd}{Tlistplot}{tlistplotgrid} +\itemket{Usage}Tlistplot(grid name, grid name); +\itemket{Description}Table function to connect two lattice points by line segments. +\itemket{Examples} \mbox{} + +\verb|Tlistplot(["c0r1","c1r2"]);| +\end{cmd} + +%=========Data Processing========================= +\subsection{Data Processing} + +This section describes data processing by \ketcindy . Cooperation with spreadsheet software enables efficient data processing. + +%------------Tab2list-------------------------------- +\begin{cmd}{Tab2list}{tab2list} +\itemket{Usage}Tab2list(string data, option); +\itemket{Description}Sheet function to convert contents of string data to list. +\item[Ditails]The options are as follows.\\ +\verb|"Blank=a"| : translate cells that is NULL to ``a''\\ +\verb|"Sep=b"| : separators of the string are ``b''. The default separators are Tab code. +\itemket{Examples} \mbox{} + +In the Cindyscrpt editor, prepare a local variable, for example "data". +\begin{center} +\includegraphics[bb=0.00 0.00 261.01 139.01,width=6cm]{Fig/tab2list02E.pdf} +\end{center} + +Copy the data on the spreadsheet to the clipboard. +\begin{center} +\includegraphics[bb=0.00 0.00 449.02 164.01,width=8cm]{Fig/tab2list01E.pdf} +\end{center} + +Paste it during double quotes. +\begin{center} +\includegraphics[bb=0.00 0.00 465.02 140.01,width=8cm]{Fig/tab2list001E.pdf} +\end{center} + +By executing \verb|"Tab2list(data)"| get a list of matrix form. +\begin{center} +\includegraphics[bb=0.00 0.00 482.02 134.01,width=10cm]{Fig/tab2list03E.pdf} +\end{center} + +If it contains a null character cell (NULL), it defaults to null character.Therefore, if you want to set NULL to 0 for questionnaire processing etc., use option \verb|Blank|. + +\hspace{20mm}\verb|dlist=Tab2list(data,["Blank=0"];| + +When CSV format data is copied from the file, the option is set to \verb|sep|. + +\hspace{20mm}\verb|dlist=Tab2list(data,["Sep=,"];| + + +\end{cmd} + +%-------------Dispmat------------------------------- +\begin{cmd}{Dispmat}{dispmat} +\itemket{Usage}Dispmat(list); +\itemket{Description}Display the list to matrix form in the console. +\itemket{Examples}In the example of Tab2list, put the obtained data in a matrix format. + +\begin{center} +\includegraphics[bb=0.00 0.00 422.52 178.01,width=8cm]{Fig/tab2list04E.pdf} +\end{center} +You can copy this directly to spreadsheet. + +\end{cmd} + +%--------------Writecsv------------------------------ +\begin{cmd}{Writecsv}{writecsv} +\itemket{Usage}Writecsv(namelist, data, filename, option); +\itemket{Description}Make a CSV file consisting of the contents of data. +\item[Ditails]namelist is item name added to the first line of the CSV file. If the namelist omitted, the item names "c1, c2, ..." are appended. + +The filename is the name of CSV file. + +option : \verb|"Col=nn"| : Specify the number of columns in the CSV file as a natural number \verb|nn|. + +When specifying the number of columns is omitted, if data is a matrix, use that number of columns, and if data is a vector, use the number of items in namelist. + +\itemket{Examples}\mbox{}\\ +%(1)\\ +Let \verb|data=[13,25,17,22,14,26] , name2=["aa","ab"] , name3=["ba","bb","bc"]|\\ + +\verb|Writecsv(name2,data,"aaa");|\\ +makes the file "aaa.csv" consists of\\ +aa,ab\\ +13,25\\ +17,22\\ +14,26\\ + +%(2)\\ +\verb|Writecsv(name3,data,"aaa");|\\ +makes the file "aaa.csv" consists of\\ +ba,bb,bc\\ +13,25,17\\ +22,14,26\\ + +%(3)\\ +\verb|Writecsv(,data,"aaa",["Col=3"]);|\\ +makes the file "aaa.csv" consists of\\ +c1,c2,c3\\ +13,25,17\\ +22,14,26\\ +\end{cmd} + +\newpage + + +% =====the others=========================== +\subsection{Others} + +%-------Assign------------------------------------- +\begin{cmd}{Assign}{assign} +\itemket{Usage}Assign(string0, string1, number) +\itemket{Description}Generic function to replace the string1 in the string0 with the number. Number is real number or string of real number. +\itemket{Examples}\mbox{} + +\verb|Assign("x^2+a*x","a","1.3"); | // \verb|a*x| $\to$ \verb|1.3*x|\\ +\verb|Assign("x^2+a*x","a",1.3); | //same as above\\ + +\verb|repeat(50,t,|\\ +\verb| cb=t/5-5;|\\ +\verb| Plotdata(text(t),Assign("b*x-b^2","b",cb),"x");|\\ +\verb|);|\\ + +\hspace{40mm} \input{Fig/assign} + +Perform multiple replacements by list. + +\verb|Assign("a*x^2+b*x",["a",1,"b",2]);| \hspace{10mm}// \verb|a| $\to$ \verb|1 and b| $\to$ \verb|2| +\end{cmd} + + +%-----------BBdata--------------------------------- +\begin{cmd}{BBdata}{bbdata} +\itemket{Usage}BBdata(file name, options); +\itemket{Description}Generic function to return the size of an image file. +\itemket{Details}In the \TeX document, find the BB size when pasting the image with the inputgraphics command. +Create BB data from an image file using extractbb of \TeX processing system and write it as a text file to the working directory. +Read this and write the ingludegarphics command to the console.\\ +Options : specifies width and height. "w=" : width, "h=" : height + +The value of bb is not an integer value, and it is indicated by rounding off the high definition value to two decimal places.\\ +The image files are PDF, PNG, JPG, and so on.\\ + +\itemket{Examples} \mbox{} + +\includegraphics[bb=0.00 0.00 562.03 124.01,width=12cm]{Fig/bbdata.pdf} + +\end{cmd} + +%---------Colorcode----------------------------------- +\begin{cmd}{Colorcode}{colorcode} +\itemket{Usage}Colorcode(colortype1,colortype2,colorcode) +\itemket{Description}Generic function to change colorcode from colortype1 to colortype2. +\itemket{Details}Return value is changed color code. + +Color type is one of "rgb'',"cmyk",''hsv''. +\item[Example]\mbox{} + +RGB to CMYK + +\hspace{10mm} \verb|col=Colorcode("rgb","cmyk",[1,0,0]); | + +CMYK to RGB + +\hspace{10mm} \verb|col=Colorcode("cmyk","rgb",[0,1,1,0]);| + +RGB to HSV + +\hspace{10mm} \verb|col=Colorcode("rgb","hsv",[1,0,0]);| + +\end{cmd} + +%----------Dqq---------------------------------- +\begin{cmd}{Dqq}{dqq} +\itemket{Usage}Dqq(string); +\itemket{Description}This function returns a string surrounded by double quotes. +\itemket{Exaample}\mbox{}\\ +\verb|parse("a");| // The value of variable \verb|a| is returned.\\ +\verb|parse(Dqq("a"));| // String \verb|"a"| is returned.\\ +\end{cmd} + +%----------Factorial---------------------------------- +\begin{cmd}{Factorial}{factorial} +\itemket{Usage}Factorial(n); +\itemket{Description}This function returns the factorial of \verb|n|. +\itemket[Details]\verb|n| should be a positive integer. +\itemket{Exaample}\verb|x=Factorial(5); // x is 120.| +\end{cmd} + +%----------Figpdf---------------------------------- +\begin{cmd}{Figpdf}{Figpdf} +\itemket{Usage}Figpdf(option) +\itemket{Description}Generic function to make a pdf with the same size of figure. +\itemket{Details}Option is a list of margin and the amount of translation. + +(1) Set the output file name with the command \verb|Setparent("filename")|. + +(2) Push the "Parent" button. + +"figure.tex" and "filename.tex" is created in fig folder. ( use "figure.cdy") filename.tex creates filename.pdf using figure.tex. +\itemket{Examples}\mbox{} +\begin{tabbing} +1234678901234567890123456789012\=\kill +\verb|Figpdf();| \> : default\\ +\verb|Figpdf([5,5,10,10]);| \> : left and right margins are 5mm\\ + \> : top and bottom margins are 10mm.\\ +\verb|Figpdf([[5,10]]);| \> : translation to right 5mm and to down 10mm. \\ +\verb|Figpdf([5,8,10,10,[5,-5]]);| \> : margin and translation +\end{tabbing} +We have to take the right margin at least 3mm to draw the axis name. +\end{cmd} + +%------------Cindyname-------------------------------- +\begin{cmd}{Cindyname}{cindyname} +\itemket{Usage}Cindyname(); +\itemket{Description}Generic function to return the name of a current file without ".cdy". +\itemket{Examples}\mbox{} + +\verb|name=Cindyname();| // If cuurent file is "sample.cdy", name="sample". +\end{cmd} + +%------------Indexall-------------------------------- +\begin{cmd}{Indexall}{indexall} +\itemket{Usage}Indexall(string1,string2); +\itemket{Description}Generic function to return all positions of string2 in string1. +\itemket{Examples}\mbox{} + +\verb|str="abcadeaf"|\\ +\verb|pos=Indexall(str,"a");|// Result is [1,4,7]. + +\item[Remarks]This command is an extension of "indexof" which is a command of CindyScript. +\end{cmd} + +%-----------Help--------------------------------- +\begin{cmd}{Help}{help} +\itemket{Usage}Help(string) +\itemket{Description}Generic function to display usages of the function. +\itemket{Examples}\mbox{} + +\verb|Help("L");| then we have the following result in console. + +\vspace{\baselineskip} +\verb|Letter([C,"c","Graph of $f(x)$"]);|\\ +\verb|Letter([C,"c","xy"],["size->30"]);|\\ +\verb|Letterrot(C,B-A,"AB");|\\ +\verb|Letterrot(C,B-A,"t0n5","AB");|\\ +\verb|Letterrot(C,B-A,0,5,"AB");|\\ +$\cdots\cdots\cdots$ + +\end{cmd} + +%-------------Norm------------------------------- +\begin{cmd}{Norm}{norm} +\itemket{Usage}Norm(vector); +\itemket{Description}This function returns the norm of the vector. +\itemket{Details}\mbox{} +The vector is 2D or 3D.\\ + If two vectors \verb|v1|, \verb|v2| are given, the value of \verb|Norm(v2-v1)| is returned. +\itemket{Examples}\verb|Norm([1,1,2]);| // $\sqrt{6}$ is returned. +\end{cmd} + +%-------------Op------------------------------- +\begin{cmd}{Op}{op} +\itemket{Usage}Op(number, list or string); +\itemket{Description}Generic function to return the n-th element of a list or a string. +\itemket{Examples}\mbox{} + +\verb|str="abcde"|\\ +\verb|list=[3,1,2,5];|\\ +\verb|s=Op(2,str); |// Result is "b".\\ +\verb|x=Op(3,list); |// Result is 2. +\end{cmd} + +%---------Ptselected----------------------------------- +\begin{cmd}{Ptselected}{ptselected} +\itemket{Usage}Ptselected(name of points) +\itemket{Description}Generic function to returns "true" if a point is selected. +\itemket{Details}Commands such as \verb|Hachdata| take time to execute, so interactive operations slow down the reaction. Therefore, while interactively operating, you can use this command to stop drawing. +\itemket{Examples}\mbox{} + +Draw the point A near the origin. + +\verb| Deffun("f(x)",["regional(y)","y=x^3-2*x","y"]);|\\ +\verb| Plotdata("1","f(x)","x",["Num=100"]);|\\ +\verb| Putoncurve("A","gr1");|\\ +\verb| coef=Derivative("f(x)","x",A.x);|\\ +\verb| Defvar(["coef",coef]);|\\ +\verb| Deffun("g(x)",["regional(y)","y=coef*(x-A.x)+A.y","y"]);|\\ +\verb| Plotdata("2","g(x)","x",["Num=1"]);|\\ +\verb| if(!Ptselected(A),|\\ +\verb| Enclosing("1",["gr2","Invert(gr1)"],[A,"nodisp"]);|\\ +\verb| Hatchdata("1",["i"],[["en1"]]);|\\ +\verb| );| + +\vspace{\baselineskip} +\hspace{20mm} Dragging point A (select) \hspace{5mm} Unselected + +\hspace{20mm}\includegraphics[bb=0.00 0.00 218.01 204.51,width=40mm]{Fig/ptselected01.pdf} +\hspace{10mm}\includegraphics[bb=0.00 0.00 219.01 204.51,width=40mm]{Fig/ptselected02.pdf} + +\end{cmd} + +%-------------Slider------------------------------- +\begin{cmd}{Slider}{slider} +\itemket{Usage}Slider("endpoint1-pt-endpoint2'',endpoint1,endpoint2); +\itemket{Description}Generic function to make a slider on a Euclidean view.\\ +\itemket{Examples}\mbox{} + +\verb|Slider("A-C-B",[-5,-2],[5,-2]); | // \verb|C| is movable.\\ +\verb|Slider("D-F-E",[-6,-2],[-6,2]); | // \verb|F| is movable.\\ +\verb|Plotdata("1",Assign("y=a*sin(x-b)",["a",F.y,"b",C.x]),"x"); | + +\vspace{\baselineskip} +\hspace{15mm} +\includegraphics[bb=0.00 0.00 445.02 193.01,height=40mm]{Fig/slider.pdf} + +\end{cmd} + +%-----------Sprintf--------------------------------- +\begin{cmd}{Sprintf}{sprintf} +\itemket{Usage}Sprintf(value,number); +\itemket{Description}Converts a real number to a string. +\itemket{Details}\hspace{9mm} Convert a real value to a string to the specified number of digits after the decimal point. +\itemket{Examples}\mbox{} + +\verb|Sprintf(pi,2);| // returns "3.14''.\\ +\verb|Sprintf(pi,7);| // returns "3.1415927''.\\ + +\verb|Remark| : \verb|pi| is a reserved variable in Cindyscript, representing the number $\pi$. + +\itemket{Reference} See \hyperlink{textformat}{Textformat}. +\end{cmd} + +%------------Strsplit-------------------------------- +\begin{cmd}{Strsplit}{strsplit} +\itemket{Usage}Strsplit(string,char); +\itemket{Description}Generic function to return the list of strings separated by \verb|char|. +\itemket{Examples}\mbox{} + +\verb|str="abcadeaf"|\\ +\verb|strL=Strsplit(str,"a"); |// Result is ["","bc","de","f"]. +\end{cmd} + +%\newpage + + +%----------Texcom---------------------------------- +\begin{cmd}{Texcom}{texcom} +\itemket{Usage}Texcom(command); +\itemket{Description}Generic function to add the command in the \TeX file. +\itemket{Details}Command is a \TeX command in string. +\itemket{Examples}\mbox{} + +\verb|Texcommand("{");|\\ +\verb|Texcommand("}");| +\end{cmd} + +%-------------Textformat}------------------------------- +\begin{cmd}{Textformat}{textformat} +\itemket{Usage}Textformat(value,number); +\itemket{Description}Converts a real number to a string. +\itemket{Details}\hspace{9mm}Convert a real value to a string up to the specified number of digits after the decimal point. "value" is can be list. + +Cindyscript has a function \verb|format(value, number)|, like as Textformat. +\itemket{Examples}\mbox{} + +\verb| Textformat(1/6,4);| // return value is string "0.1667'' \\ +\verb| format(1/6,4); | // return value is string "0.1667'' + +\verb| dt=[1/6,0.5];|\\ +\verb| Textformat(dt,4); | // return valu is string "[ 0.1667 , 0.5 ]" \\ +\verb| format(dt,4); | // return value is list ["0.1667" , "0.5" ]\\ +\verb| Sprintf(dt,4); | // return value is list ["0.1667","0.5000"] + +\itemket{Reference} See \hyperlink{sprintf}{Sprintf}. + +\end{cmd} + +%----------Toupper---------------------------------- +\begin{cmd}{Toupper}{toupper} +\itemket{Usage}Toupper(string); +\itemket{Description}This function returns the upper case letters of the string. +\itemket{Examples}\verb|Toupper("aBc123'');| // "ABC123" is returned. + +%\verb|Windispg();| +\end{cmd} + +%----------Windispg---------------------------------- +\begin{cmd}{Windispg}{windispg} +\itemket{Usage}Windispg(); +\itemket{Description}Generic function to display all graphs on Euclidean view. +\itemket{Remark}This command must be put on the final line. +%\itemket{Examples}\mbox{} + +%\verb|Windispg();| +\end{cmd} + +\newpage +%==== Calling Other Softwares ========= +\section{Calling Other Softwares} +\subsection{R} + +%--------------Rfun------------------------------ +\begin{cmd}{Rfun}{rfun} +\itemket{Usage}Rfun(name, ommand,list of arguments,options) +\itemket{Description}This function executes a R command and returns the. +\itemket{Examples}\verb|Rfun("1","rnorm",[10]);| // The result will be assigned to "R1". +\itemket{Remark}Option "Cat=n" supresses display of the result in the console. +\end{cmd} + +%--------------CalcbyR------------------------------ +\begin{cmd}{CalcbyR}{calcbyr} +\itemket{Usage}CalcbyR(var,command,options) +\itemket{Description}executes R commands and returns the execution result to Cinderella. +\itemket{Details}exchange data with R through a batch file (kc.bat) or a shell file (kc.shell). +\itemket{Examples} \mbox{} + +Generate 10 random samples from the standard normal distribution by R and return the result (data) to Cinderella.\\ +\verb| cmdL=[|\\ +\verb| "dt=rnorm",[10,50,5],|\\ +\verb| "m=mean(dt)",[],|\\ +\verb| "u=var(dt)",[],|\\ +\verb| "dt::m::u",[]|\\ +\verb| ]|\\ +\verb| CalcbyR("ans",cmdL);| + +\verb| println("Data : "+ans_1);|\\ +\verb| println("Mean : "+format(ans_2,4));|\\ +\verb| println("UD : "+format(ans_3,4));|\\ + +%\begin{center} +%\includegraphics[bb=0.00 0.00 532.53 249.51,width=12cm]{Fig/calcbyr01.pdf} +%\end{center} + +generate 200 random samples from the Poisson distribution with mean 5 and calculate the sample mean and the unbiased variance of the data.\\ +\verb| cmdL=[|\\ +\verb| "tmp1=rpois",[200,5],|\\ +\verb| "tmp2=mean",["tmp1"],|\\ +\verb| "tmp3=var",["tmp1"],|\\ +\verb| "tmp2::tmp3::tmp1",[]|\\ +\verb| ];|\\ +\verb| CalcbyR("rd",cmdL);|\\ +\verb| dt=rd_(3..length(rd));|\\ +\verb| nn=length(dt);|\\ +\verb| mx=rd_1;|\\ +\verb| vx=rd_2*(nn-1)/nn;|\\ +\verb| sx=sqrt(vx);|\\ +\verb| println(dt);|\\ +\verb| println(["m="+format(mx,4),"v="+format(vx,4)]);|\\ +\verb| Setscaling(1/5);| + +create a histogram for the data, \verb|Breaks=seq(0,14,1)| specifies the bin size.\\ +\verb| Histplot("1",dt,["Breaks=seq(0,14,1)","dr,0.5"]);|\\ + +\begin{center} +\input{Fig/poison01} +\end{center} + +generate 2000 random samples from the Poisson distribution and calculate 200 sample means in 10 samples.\\ +\verb| cmdL=[|\\ +\verb| "tmp1=rpois",[2000,5],|\\ +\verb| "tmp2=c()",[],|\\ +\verb| "for(k in 1:200){",[],|\\ +\verb| " tmp=tmp1[(10*(k-1)+1):(10*k)]",[],|\\ +\verb| " tmp2=c(tmp2,mean(tmp))",[],|\\ +\verb| "}",[],|\\ +\verb| "=tmp2",[]|\\ +\verb| ];|\\ +\verb| CalcbyR("rd2",cmdL);|\\ +\verb| Setscaling(1/10);|\\ +\verb| Histplot("2",rd2);|\\ + +\end{cmd} + +%-------------Boxplot------------------------------- +\begin{cmd}{Boxplot}{boxplot} +\itemket{Usage}Boxplot(name, data, vertical position, height of box,options); +\itemket{Description}draw boxplots +\itemket{Examples}\mbox{} + +draw a boxplot of 100 uniform random numbers less than 5. + +\verb| dt1=apply(1..100,5*random());|\\ +\verb| Boxplot("1",dt1,1,1/2);| + +\begin{center} \input{Fig/boxplot01} \end{center} + +read an external data file in csv format and draw a boxplot of the data. + +\verb| Boxplot("2","datafile.csv",3,1/2);| + +You can read a csv file with more than one column using \verb|Readcsv|. +The csv flie should be stored in current working folder (defalut is fig folder). +Using \verb|Framedata| and \verb|Rulerscale| together, you can mark with a scale. +Before you use \verb|Framedata|, you need to take two diagonal points of the drawing area on the Euclidean view. + +\verb| data=Readcsv("datafile.csv");|\\ +\verb| dt1=apply(data,#_1);|\\ +\verb| dt2=apply(data,#_2);|\\ +\verb| Boxplot("1",dt1/20,1,1/2);|\\ +\verb| Boxplot("2",dt2/20,3,1/2);|\\ +\verb| Framedata("1",[A,B],["corner"]);|\\ +\verb| Rulerscale(A,["r",0,6,1],["f",1,"\mbox{dt1}",3,"\mbox{dt2}"]);| + +\begin{center} \input{Fig/boxplot} \end{center} + +\end{cmd} + +%-------------Histplot------------------------------- +%\newpage + +\begin{cmd}{Histplot}{histplot} + +\itemket{Usage}Histplot(name,data,options) +\itemket{Description}create histograms. +\itemket{Details}data is given in a list or read an external data file in csv format.\\ +You can specify the breaks as a vector of points to get exactly what is wanted, for example\\ +\hspace{20mm} \verb|''Breaks=[0,10,20,30,40,50,60]''| .\\ +The Sturges algorithm is the default.\\ +Other options:\\ +\verb|''Rel=yes/no''| : draw a histogram of proportions or frequencies (default is no)\\ + +\itemket{Examples} \mbox{} + +Read the data file in csv format (datafile.csv) and create a histogram of the data in a frame with a scale.\\ +\verb| Addax(0);|\\ +\verb| Setscaling(5);|\\ +\verb| Setunitlen("0.6mm");|\\ +\verb| data=Readcsv("datafile.csv");|\\ +\verb| Histplot("1",data,[""]);|\\ +\verb| Framedata("1",[A,B],["corner"]);|\\ +\verb| Rulerscale(A,["r",0,100,10],["r",0,15,5]);|\\ + +\begin{center} +\input{Fig/histgram} +\end{center} + +\end{cmd} +%------------PlotdataR-------------------------------- +\begin{cmd}{PlotdataR}{plotdatar} + +\itemket{Usage}PlotdataR(name,formula,var) +\itemket{Description}Draw graph of R's statistical probability function. +\itemket{Details}Draw graphs of functions not built-in Cindyscript. +\itemket{Examples} \mbox{} + +Example1\\ +draw graphs of the probability density function (p.d.f.) and the cummulative distribution function of $N(5,2^2)$.\\ +\verb| PlotdataR(“1â€, “dnorm(x,5,2)â€, â€x=[0,10]â€); |\\ +\verb| PlotdataR(“2â€, â€pnorm(x,5,2)â€, â€x=[0,10]â€);| + +%\vspace{\baselineskip} +\begin{center} +\input{Fig/plotdatar1} +\end{center} + +Example2\\ +1. draw a graph of the p.d.f. of standard normal distribution.\\ +2. shade the region under the graph and above x-axis to the left of \verb|A.x|.\\ +3. find the area of the shaded region.\\ +\verb| PlotdataR("1","dnorm(x)","x=[-5,5]",["Num=100"]); |\\ +\verb| Putpoint("A",[0,0],[A.x,0]); |\\ +\verb| Lineplot("1",[A,A+[0,1]],["nodisp"]); |\\ +\verb| Putintersect("B","grR1","ln1"); |\\ +\verb| Listplot("1",[A,B]); |\\ +\verb| Listplot("2",[[-5,0],[5,0]],"nodisp"); |\\ +\verb| Enclosing("1",["Invert(grR1)","sg2","sg1"],[B,"notex"]); |\\ +\verb| Shade(["en1"],["Color=[0.2,0,0,0]"]); |\\ +\verb| tmp=0.5+Integrate("grR1",[0,A.x]); |\\ +\verb| Expr([A,"s",text(A.x),C,"e","P="+text(tmp)]); | + +%\vspace{\baselineskip} +\begin{center} +\input{Fig/rshade} +\end{center} + +\end{cmd} +%--------------PlotdiscR------------------------------ +\begin{cmd}{PlotdiscR}{plotdiscr} + +\itemket{Usage}PlotdiscR(name,fromaula,var) +\itemket{Description}draw graphs of discrete distributions by calling R’s built-in functions. +\itemket{Details}The ''d'' functions in R to draw graphs of discrete distributions:\\ +dbinom (binomial distribution), dpois (poisson distribution), dgeom (geometric distribution), etc. +\itemket{Examples} \mbox{} + +The normal distribution with the same mean and standard deviation as the binomial distribution\\ +\verb| Setscaling(20);|\\ +\verb| PlotdiscR("1","dbinom(k,10,0.4)","k=[0,10]");|\\ +\verb| PlotdataR("1","dnorm(x,10*0.4,sqrt(10*0.4*0.6))","x=[0,10]",["do"]);| + +\begin{center} +\input{Fig/binvsnormal} +\end{center} + +Example2 + +\verb| PlotdiscR("2","dpois(k,4)","k=[0,10]");|\\ +\verb| PlotdiscR("3","dgeom(k,0.3)","k=[0,10]");| + +\end{cmd} +%------------Readcsv-------------------------------- +\begin{cmd}{Readcsv}{readcsv} + +\itemket{Usage}Readcsv(path,filename,option) +\itemket{Description}read an external data file in csv format. The return value is a list of the data. +\itemket{Details}The first argument sets a path to the current working folder where the data file is (the default is fig). +If you put the data file in fig folder, the pathname can be omitted. Otherwise a full pathname is required.\\ +option: By the argument "Flat=y", you can flatten a list of the data (the default is "Flat=n" ). +\itemket{Examples} \mbox{} +Examples can be found in the command Boxplot(). +\end{cmd} +%------------Scatterplot-------------------------------- +\begin{cmd}{Scatterplot}{scatterplot} + +\itemket{Usage}Scatterplot(name,filename/datalist,options1,options2) +\itemket{Description}This command draw scatter plot reading a csv file. +\itemket{Details} Datafile is next style csv format. +\begin{verbatim} + 2.3, 4.5 (LF) + 3.2, 7 (LF) + 2.0, 6.8 (LF) +\end{verbatim} +If 2nd argment is datalist, next format. +\begin{verbatim} + data=[[2.3,4.5],[3.2,7],[2.0,6.8], ・・・ ]; +\end{verbatim} + +Options1 are switch of draw the regression line or no , style of point.\\ +\verb|"Reg=yes(no:default)"| to decide whether to draw the regression line.\\ +Options2 are position of drawing the regression line and style of line.\\ +Position is coordinate or name of point. +\itemket{Examples}\mbox{} + +\verb| Scatterplot("1","data.csv",["Size=4","Color=blue"],[A,"Color=green"]);|\\ +\verb| Listplot("1",[[0,7],[0,0],[7,0]]);|\\ +\verb| Rulerscale([0,0],["r",0,7,1],["r",1,7,1]);| + +\begin{center} +\input{Fig/scatter} +\end{center} +\end{cmd} + +%\newpage + +%========= Maxima ======= +\subsection{Maxima} +%------------CalcbyM-------------------------------- +\begin{cmd}{CalcbyM}{calcbym} + +\itemket{Usage}CalcbyM(name, command,options) +\itemket{Description}Maxima's script execution +\itemket{Details}The second argument is a command to be executed by Maxima.\\ +Create a list (eg. cmdL) consisting of a repetition of commands and argument lists, and execute at once.\\ +There is no return value. +For the result (of undefined value), the value of the variable of the command list last described (argument is the empty list) is assigned to the variable specified by ''name''. +When you want to return more than one result, if you describe it by separating it with ''::'', it will be substituted into the list. +\itemket{Examples} \mbox{} + +Example1: derivative + +\verb| cmdL=[ |\\ +\verb| "f:sin(x)", [], |\\ +\verb| "df:diff",["sin(x)","x"], |\\ +\verb| "f::df",[] |\\ +\verb| ]; |\\ +\verb| CalcbyM("fdf",cmdL); |\\ +\verb| println(fdf); |\\ + +Example2: solution of quadratic equation + +\verb| cmdL=[ |\\ +\verb| "ans:solve",["x^2-x-4","x"], |\\ +\verb| "ans",[] |\\ +\verb| ]; |\\ +\verb| CalcbyM("ans",cmdL); |\\ +\verb| println("ans="+ans); |\\ + +Example3: + + +\verb| fx="(exp(x)+exp(-x))/2"; |\\ +\verb| cmdL=[ |\\ +\verb| "df:diff",[fx,"x"], |\\ +\verb| "c:ev",["df","x=a"], |\\ +\verb| "b:ev",[fx,"x=a"], |\\ +\verb| "eq:c*(x-a)+b",[], |\\ +\verb| "eq",[] |\\ +\verb| ]; |\\ +\verb| CalcbyM("tn1",cmdL); |\\ +\verb| tn1=Assign(tn1,["%e^a","exp(a)","%e^-a","exp(-a)"]); |\\ +\verb| Plotdata("1",fx,"x"); |\\ +\verb| PutonCurve("A","gr1"); |\\ +\verb| tmp=Assign(tn1,["a",A.x]); |\\ +\verb| plotting data("2",tmp,"x",["Num=2"]); |\\ +\verb| Letter([A,"se","A"]);| + +%\newpage +Example4: Parametric + +\verb| fn="3*cos(t)^2*[cos(t),sin(t)]";|\\ +\verb| cmdL=[|\\ +\verb| "f:",[fn], |\\ +\verb| "df:diff",["f","t"], |\\ +\verb| "df:trigsimp",["df"], |\\ +\verb| "tn:f+s*df",[], |\\ +\verb| "tn",[] |\\ +\verb| ]; |\\ +\verb| CalcbyM("tn2",cmdL); |\\ +\verb| Paramplot("1",fn,"t=[0,2*pi]",["Num=100"]); |\\ +\verb| gn=Assign(tn2,["t",A.x]); |\\ +\verb| Paramplot("2",gn,"s=[-3,3]"); |\\ + +\begin{minipage}{65mm} +\begin{center} +\input{Fig/maxfun01}\\ +Example3 +\end{center} +\end{minipage} +\begin{minipage}{65mm} +\begin{center} +\vspace*{5mm} + +\input{Fig/maxfun02}\vspace{10mm}\\ +Example4 +\end{center} +\end{minipage} + +\end{cmd} +%-------------Mxbatch------------------------------- +\begin{cmd}{Mxbatch}{mxbatch} + +\itemket{Usage}Mxbatch(filename) +\itemket{Description}Creation command to execute Maxima file +\itemket{Details}Create a command for CalcbyM to execute the file in ketcindy/ketlib/maximaL. +ketcindy/ketlib/maximaL contains three files: fourier\_sec.max, matoperation.max and poincare.mac. +For example, when dealing with Fourier series, use fourier\_sec.max. +\itemket{Examples} \mbox{} + +\verb| Setax(["a"]); |\\ +\verb| Slider("A-C-B",[-5.5,-1.5],[4.5,-1.5]); |\\ +\verb| defL=["1",[-3,-2],1,"0",[-2,-1],1,"-x",[-1,1],1,"0",[1,2],1,"-1",[2,3],1]; |\\ +\verb| Drwxy(); |\\ +\verb| tmp=Periodfun(defL,1,["dr,2","Color=red"]); |\\ +\verb| fun=tmp_1; |\\ +\verb| per=tmp_2; |\\ +\verb| Htickmark([1,"n","1",2,"n","2",3,"nw","3"]); |\\ +\verb| Htickmark([-1,"-1",-2,"-2",-3,"-3"]); |\\ +\verb| cmdL=Concat(Mxbatch("fourier_sec"),[ |\\ +\verb| "Ffun(x):="+fun,[], |\\ +\verb| "c:fourier_sec_coeff",["Ffun(x)","x"], |\\ +\verb| "c[1]::c[2]::c[3]",[] |\\ +\verb| ]); |\\ +\verb| CalcbyM("ans",cmdL,[]); |\\ +\verb| nterm=round(4*(C.x-A.x)); |\\ +\verb| Fourierseries("1",ans,per,nterm,["Num=400"]); |\\ +\verb| Mxtex("2",ans_3); |\\ +\verb| Expr([[-5,-2],"e","s_n="+tx2,[4,-2],"e","n="+text(nterm)]); | + +%\vspace{\baselineskip} +%\hspace{20mm}\input{Fig/mxbatch}\vspace*{12mm} + +\begin{center} +\input{Fig/mxbatch}\vspace{3mm} +\end{center} + +\end{cmd} +%-------------Mxfun------------------------------- +\begin{cmd}{Mxfun}{mxfun} + +\itemket{Usage}Mxfun(name,formula,list,options) +\itemket{Description}Execution of Maxima's function +\itemket{Details}The second argument "formula" is Maxima's function name. +The third argument "list" is a list of arguments to pass to the function. \\ +The return value is a string if there is at least one character in the expression of the second argument. +In the case of all numbers (including +, -, .), it becomes a number if it is 16 or less digits, and it becomes a string if it is more than 16 digits. +Also, the return value is also assigned to the variable "mxname".\\ +If "Disp = no" is added to the option, the result is not displayed on the console. +\itemket{Examples} \mbox{} + +\verb| Mxfun("1","taylor",["sin(x)","x",0,7],[""]); |\\ +\verb| Plotdata("1","sin(x)","x",["da"]); |\\ +\verb| Plotdata("2",mx1,"x"); | + +\vspace{\baselineskip} +\hspace{20mm} \input{Fig/taylor}\\ + +\end{cmd} +%------------Mxtex-------------------------------- +\begin{cmd}{Mxtex}{mxtex} + +\itemket{Usage}Mxtex(name, formula) +\itemket{Description}Conversion of expression to TeX format +\itemket{Details}The second argument "formula" is the expression directly written or the return value of Mxfun. +Convert it to TeX format.\\ +The return value is also assigned to the variable "txname". +\itemket{Examples} \mbox{} + +Example1 + +\verb| fx="x^3/((x+1)*(x+2))"; |\\ +\verb| pfx=Mxfun("1","partfrac",[fx,"x"]); |\\ +\verb| form=Mxtex("1",fx)+"="+Mxtex("2",pfx); |\\ +\verb| dform=Assign(form,["frac","dfrac"]); |\\ +\verb| Expr([0,3],"e",form); |\\ +\verb| Expr([0,1],"e",dform); |\\ + +\includegraphics[bb=0.00 0.00 240.01 115.51,width=70mm]{Fig/mxtex01E.pdf} +\input{Fig/mxtex02} + +\vspace{\baselineskip} +Example2 + +\begin{layer}{150}{0} +\putnotese{70}{50}{ \input{Fig/mxtex03}} +\end{layer} + +\verb| fx="x^2-x-3"; |\\ +\verb| cmdL=[ |\\ +\verb| "ans:solve",[fx,"x"], |\\ +\verb| "ans",[] |\\ +\verb| ]; |\\ +\verb| CalcbyM("ans",cmdL); |\\ +\verb| p1=indexof(ans,"["); |\\ +\verb| p2=indexof(ans,","); |\\ +\verb| p3=indexof(ans,"]"); |\\ +\verb| s1=substring(ans,p1,p2-1); |\\ +\verb| s2=substring(ans,p2,p3-1); |\\ +\verb| s1=replace(s1,"x =",""); |\\ +\verb| s2=replace(s2,"x =",""); |\\ +\verb| Mxtex("1",s1); |\\ +\verb| Mxtex("2",s2); |\\ +\verb| Plotdata("1",fx,"x"); |\\ +\verb| Expr([-2,-0.5],"e",tx1); |\\ +\verb| Expr([2,-0.5],"e",tx2); |\\ + +\end{cmd} + +%========= Risa/Asir ======= +\subsection{Risa/Asir} + +%------------CalcbyA-------------------------------- +\begin{cmd}{CalcbyA}{calcbya} + +\itemket{Usage}CalcbyA(name, command,options) +\itemket{Description}Risa/Asir's script execution +\itemket{Details}The second argument is a command to be executed by Risa/Asir.\\ +Create a list (eg. cmdL) consisting of a repetition of commands and argument lists, and execute at once.\\ +There is no return value. +The result (of undefined value) is assigned to the variable specified by "name", the value of the variable of the command list last described (argument is the empty list). +If you want to return more than one result, if you describe it by separating it with "::", it will be substituted into the list. +%\itemket{Examples} \mbox{} + +\end{cmd} +%-------------Asirfun------------------------------- +\begin{cmd}{Asirfun}{asirfun} + +\itemket{Usage}Asirfun(name, formula, list,options) +\itemket{Description}Execution of Risa/Asir's function +\itemket{Details}The second argument "formula" is the function name of Risa/Asir. +The third argument "list" is a list of arguments to pass to the function.\\ +The return value is a string if there is at least one character in the expression of the first argument. +In case of all numbers (including +, -, .), it becomes a number if it is 16 digits or less, and it becomes a string if it is more than 16 digits. +Also, the return value is also assigned to the variable "asname".\\ +If "Disp = no" is added to the option, the result is not displayed on the console. +%\itemket{Examples} \mbox{} + +\end{cmd} +%========= MeshLab ======= +\subsection{MeshLab} + +Write next script in Initialization slot for use \ketcindy\ 3D. + \\ +\verb| Ketinit();|\\ +\verb| Ketinit3d();| + +%--------------Mkobjcmd------------------------------ +\begin{cmd}{Mkobjcmd}{mkobjcmd} + +\itemket{Usage}Mkobjcmd(name,formula,option) +\itemket{Description}generate commands for obj formatted files of surfaces without thickness. +%%\itemket{Details} +\itemket{Examples} \mbox{} + +\verb| fd=[ "z=x^2-y^2","x=[-1,1]","y=[-1,1]"," "]; |\\ +\verb| Sf3data("1",fd); |\\ +\verb| Windispg(); |\\ +\verb| Mkobjcmd("1",fd,[40,40,"-"]); |\\ +\verb| Meshlab():=( |\\ +\verb| Mkviewobj("saddle",oc1, ["m","v"]); |\\ +\verb| ); | + +Option ``$+$" is for the left figure, and ``$-$" for the right. + +\hspace{10mm} \includegraphics[bb=0 0 679.53 263.51 , width=12cm]{Fig/meshlab01.pdf} +\end{cmd} +%-------------Mkobjcrvcmd------------------------------- +\begin{cmd}{Mkobjcrvcmd}{mkobjcrvcmd} + +\itemket{Usage}Mkobjcrvcmd(name,PD,option) +\itemket{Description}generate commands for obj formatted files of spatial curves. +%%\itemket{Details} +\itemket{Examples} \mbox{} + +\verb| Spacecurve("1","[(6*pi-t)/(6*pi)*cos(t),(6*pi-t)/(6*pi)*sin(t),0.1*t]", |\\ +\verb| "t=[0,6*pi]",["Num=200"]); |\\ +\verb| Windispg(); |\\ +\verb| Mkobjcrvcmd("1","sc3d1",[0.1,8,"yz"]); |\\ +\verb| Meshlab():=( |\\ +\verb| Mkviewobj("spiral",oc1,["m","v"]); |\\ +\verb| ); | + +\hspace{10mm} \includegraphics[bb=0 0 614.53 236.51 , width=12cm]{Fig/meshlab02.pdf} + +\end{cmd} +%--------------Mkobjnrm------------------------------ +\begin{cmd}{Mkobjnrm}{mkobjnrm} + +\itemket{Usage}Mkobjnrm(name,formula) +\itemket{Description}calculate normal vector of surface. +\itemket{Details}Normal vector is calculated using the formula of surface. +\itemket{Examples} \mbox{} + +\verb| Mkobjnrm("1","[x,y,x*y/sqrt(x^2+y^2)],x,y"); |\\ + +\end{cmd} +%--------------Mkobjplatecmd------------------------------ +\begin{cmd}{Mkobjplatecmd}{mkobjplatecmd} + +\itemket{Usage}Mkobjplatecmd(name,facedata,options) +\itemket{Description}generate commands for obj formatted files of plates. +%%\itemket{Details} +\itemket{Examples} \mbox{} + +\begin{layer}{150}{0} +\putnotese{80}{13}{ \includegraphics[bb=0 0 287.01 228.01 , width=3cm]{Fig/meshlab03.pdf} } +\end{layer} + +\verb| Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]"); |\\ +\verb| p1=[2,0,0]; |\\ +\verb| p2=[0,2,0]; |\\ +\verb| p3=[0,0,2]; |\\ +\verb| plane=[[p1,p2,p3],[[1,2,3]]]; |\\ +\verb| Mkobjplatecmd("1",plane,[0.05]); |\\ +\verb| Mkobjcrvcmd("2","ax3d"); |\\ +\verb| Mkviewobj("plane",Concatcmd([oc1,oc2]),["m","v"]); | + +\end{cmd} +%-------------Mkobjpolycmd------------------------------- +\begin{cmd}{Mkobjpolycmd}{mkobjpolycmd} + +\itemket{Usage}Mkobjpolycmd(name,PD,options) +\itemket{Description}generate commands for obj formatted files of polyhedra. +%%\itemket{Details} +\itemket{Examples} \mbox{} + +\verb| Setdirectory(Dirhead+"/data/polyhedrons_obj"); |\\ +\verb| polydt=Readobj("r01.obj",["size=-3.5"]); |\\ +\verb| Setdirectory(Dirwork); |\\ +\verb| pd=VertexEdgeFace("1",polydt,["Pt=fix","Edg=nogeo"]); |\\ +\verb| Mkobjpolycmd("1",pd,[[0,0,0]]); |\\ +\verb| Mkviewobj("plane",oc1,["m","v"]); | +%% Setobj(Fhead,["m","v"]); + +The polyhedron obj data is downroaded from\\ +\hspace*{20mm}\url{http://mitani.cs.tsukuba.ac.jp/polyhedron/} + + +\end{cmd} +%--------------Mkobjsymbcmd------------------------------ +\begin{cmd}{Mkobjsymbcmd}{mkobjsymbcmd} + +\itemket{Usage}Mkobjsymbcmd(PD,real,real,vector,vector) +\itemket{Description}generate commands for obj formatted files of some characters. +\itemket{Details}Ploting data are available for characters $x$, $y$, $z$, $t$, $n$, P, Q, and R. +The arguments are their siizes, angles of rotations, directions of the viewpoints, positions. +\itemket{Examples} \mbox{} + + +\verb| Mkobjsymbcmd("P",0.5,pi/3,[0,-1,0],[0,0,6]); |\\ +\verb| Mkobjsymbcmd("x",0.5,0,[0,-1,0],[6,0,0]); |\\ +\verb| Circledata("1",[[0,0],[1,0]],["nodisp"]); |\\ +\verb| Mkobjsymbcmd("cr1",0.5,0,[0,-1,0],[0,5,0]); | + +\end{cmd} +%-------------Mkobjthickcmd------------------------------- +\begin{cmd}{Mkobjthickcmd}{mkobjthickcmd} + +\itemket{Usage}Mkobjthickcmd(name,formula) +\itemket{Description}generate commands for obj formatted files of surfaces with thickness. +%%\itemket{Details} +\itemket{Examples} \mbox{} + +This function use Maxima. + +\begin{layer}{150}{0} +\putnotese{70}{0}{ \includegraphics[bb=0 0 287.01 189.01 , width=4cm]{Fig/meshlab06.pdf}} +\end{layer} + +\verb| fd=[ |\\ +\verb| "z=(x^2+y^2)",|\\ +\verb| "x=R*cos(T)","y=R*sin(T)",|\\ +\verb| "R=[0,2]","T=[0,2*pi]","e"|\\ +\verb| ];|\\ +\verb| Mkobjthickcmd("1",fd,[40,40,0.2,"+n+s-e-w+","assume(R>0)"]);|\\ +\verb| Mkviewobj("pala",oc1,["m","v","Wait=5"]); |\\ + + +\end{cmd} +%---------------Mkviewobj----------------------------- +\begin{cmd}{Mkviewobj}{mkviewobj} + +\itemket{Usage} Mkviewobj(name,PD,options) +\itemket{Description}generate obj formatted files. +\itemket{Details}options +\begin{tabbing} +12345678901234567890\=\kill + "m" or "make" \> for generating data \\ + "v" or "view" \> for starting meshlab and viewing\\ + "W=n" or "Wait=n" \> for setting culculate time\\ + "Unit=mm" \> for setting unit of length \\ + \>\\ +\end{tabbing} +%\itemket{Examples} \mbox{} + +\end{cmd} +\newpage +%=========== Animation =============== +\section{Animation} + +\vspace{\baselineskip} + \hspace{10mm} \includegraphics[bb=0 0 732.04 376.02 , width=12cm]{Fig/mvgaiyou01.pdf} + +Operation of Buttons. + +\begin{tabbing} +1234\=12345678\=1234567897890123456\=\kill + \> Figure \> Viewtex(); \> Making figure.tex\\ + \> Parent \> same code \>Making figure.pdf by Figpdf() \\ + \> ParaF \> Parafolder(); \> Making data folder of animation data\\ + \> Anime \> Mkanimation(); \> Making flip animation\\ + \> Flip \> Mkflipanime(); \>Making animation +\end{tabbing} + +%---------------Setpara----------------------------- +\begin{cmd}{Setpara}{setpara} + +\itemket{Usage}Setpara(fname,funcstr,range,options1,options2) +\itemket{Description}Set up the animation control system. +\itemket{Details}"fname" is the name of output file. "funcstr" is the name of animation function. "range" is the range of parameter.\\ + +options1 + +\begin{tabbing} +1234567890123\=90123456789012345678\=\kill +m/r \> Remake the new data file / Reread the existing data file (default=r)\\ +Div=n \> Total number of frames (default n=25). +\end{tabbing} + +options2 + +\begin{tabbing} +1234567890123\=90123456789012345678\=\kill +Frate=n \> Number of frames per second (default n=20)\\ +Title=str \> Title\\ +Scale=n \> Magnification factor of the figures\\ +opA \> option for animate.sty\\ + \> loop: loop, controls: Show control button, buttonsize\\ + \> step: Mode of frame feed/frame retrun\\ + \> Default is \verb|"OpA=[loop,controls,buttonsize=3mm]"|\\ + \> Use "+" then you can add a mode, for example \verb|"OpA=+step"| then we have\\ + \> \verb|"OpA=[loop,controls,buttonsize=3mm,step]"| +\end{tabbing} + +\itemket{Examples} \mbox{} + +\verb| Slider("A-C-B",[0,YMIN-1],[2*pi,YMIN-1]); |\\ +\verb| Setax(["","","sw","","sw"]); |\\ +\verb| Circledata("1",[[0,0],[0,2]]); |\\ +\verb| mf(t):=( |\\ +\verb| pt=2*[cos(t),sin(t)]; |\\ +\verb| mp=(pt+[4,0])/2; |\\ +\verb| Listplot("1",[[4,0],pt]); |\\ +\verb| Pointdata("1",[mp,pt],["Size=2"]); |\\ +\verb| if(t==0, |\\ +\verb| ptlist=[mp]; |\\ +\verb| , |\\ +\verb| ptlist=append(ptlist,mp); |\\ +\verb| ); |\\ +\verb| Pointdata("2",ptlist,["Size=2","Color=red"]); |\\ +\verb| Letter([[4,0],"s","A",pt,"en","P",mp,"ne","Q"]); |\\ +\verb| ); |\\ +\verb| Setpara("middle","mf(t)","t=[0,4*pi]"); |\\ +\verb| mf(C.x); | + +\vspace{\baselineskip} +\hspace{20mm} \includegraphics[bb=0.00 0.00 608.03 367.02,width=8cm]{Fig/moviedata01.pdf} + +When we make the animation, comment out \verb|//mf(C.x);| and click the Anime button. The following figure is the first page of the animatemiddle.pdf file. + +\hspace{30mm}\includegraphics[bb=0.00 0.00 470.02 394.02,width=6cm]{Fig/moviedata02.pdf} + +The animation is continued for 5 seconds with the following options.\\ + \verb| Setpara("middle","mf(t)","t=[0,4*pi]",["Div=30"],["Frate=6"]);|\\ +A smooth-looking animation is achieved with the options: \verb|["Div=150"],["Frage=30"]|. +\end{cmd} + +\newpage +%============== Slide ================== +\section{\ketcindy\ Slide} + +%------------Setslidebody-------------------------------- +\begin{cmd}{Setslidebody}{setslidebody} +\itemket{Usage}Setslidebody(bodycolor,bodystyle,density) +\itemket{Description}Set up the color and density of the letters in slide body.\\ +\itemket{Details}Meanings and defaults of options are\\ +\Ltab{25mm}{bodycolor}\Ltab{50mm}{color of letters}\verb|"blue"|\\ +\Ltab{25mm}{bodystyle}\Ltab{50mm}{style of letters}\verb|"\Large\bf\boldmath"|\\ +\Ltab{25mm}{density}\Ltab{50mm}{density of thin letters}\verb|0.1|\ (The range is from 0 to 1).\\ +\hspace{10mm}Remark : density can be changed by \verb|\setthin{density}| in the text file. +\end{cmd} + +%------------Setslidehyper------------------------------- +\begin{cmd}{Setslidehyper}{setslidehyper} +\itemket{Usage}Setslidehyper("dvipdfmx",options) +\itemket{Description}Use \verb|hyperref.sty|. +\itemket{Details}if the 1st argument is null, it will be replaced with "dvipdfmx".\\ +options : \verb|["cl=true,lc=blue,fc=blue","Pos=[125,73]","Size=1"]|\\ +Meanings and defaults of options are\\ +\\ +\Ltab{25mm}{"cl=..."}\Ltab{50mm}{colorlinks}\verb|cl=true|\\ +\Ltab{25mm}{"lc=..."}\Ltab{50mm}{linkcolor}\verb|lc=blue|\\ +\Ltab{25mm}{"fc=..."}\Ltab{50mm}{filecolor}\verb|fc=blue|\\ +\Ltab{25mm}{"Pos=..."}\Ltab{50mm}{start position of buttons}\verb|"Pos=[125,73]"|\\ +\Ltab{25mm}{"Size=..."}\Ltab{50mm}{size of buttons}\verb|"Size=1"|.\\ +\end{cmd} + +%------------Setslidemain------------------------------- +\begin{cmd}{Setslidemain}{setslidemain} +\itemket{Usage}Setslidemain([letterc,boxc,framec,xpos,size]); +\itemket{Description}Set up the main slide (a section delimiter). +\itemket{Details}Meanings and defaults of options are\\ +\Ltab{25mm}{letterc}\Ltab{50mm}{color of letters}\verb|[0.98,0.13,0,0.43]|\\ +\Ltab{25mm}{boxc}\Ltab{50mm}{color of box}\verb|[0,0.32,0.52,0]|\\ +\Ltab{25mm}{framec}\Ltab{50mm}{color of frame}\verb|[0,0.32,0.52,0]|\\ +\Ltab{25mm}{xpos}\Ltab{50mm}{horizontal position of title}\verb|62|\\ +\Ltab{25mm}{size}\Ltab{50mm}{magnification of title}\verb|2|. +\itemket{Remark}If some arguments are null, the defaul is used.\\ +\hspace*{10mm}\verb|Setslidemain([,,,,3]);| +\end{cmd} + +%------------Setslidepage------------------------------ +\begin{cmd}{Setslidepage}{setslidepage} +\itemket{Usage}Setslidepage([letterc,boxc,framec,shadowc,xpos,size]); +\itemket{Description}Set up each page of slides. +\itemket{Details}Meanings and defaults of options are\\ +\Ltab{25mm}{letterc}\Ltab{50mm}{color of letters}\verb|[0.98,0.13,0,0.43]|\\ +\Ltab{25mm}{boxc}\Ltab{50mm}{color of box}\verb|[0,0.32,0.52,0]|\\ +\Ltab{25mm}{framec}\Ltab{50mm}{color of frame}\verb|[0,0.32,0.52,0]|\\ +\Ltab{25mm}{shadowc}\Ltab{50mm}{color of shadow}\verb|[0,0,0,0.5]|\\ +\Ltab{25mm}{xpos}\Ltab{50mm}{horizontal position of title}\verb|6|\\ +\Ltab{25mm}{size}\Ltab{50mm}{magnification of title}\verb|1.3|. +\itemket{Remark}If some arguments are null, the defaul is used.\\ +\hspace*{10mm}\verb|Setslidepage([,"red"]);| +\end{cmd} + +%------------Setslidemargin----------------------------- +\begin{cmd}{Setslidemargin}{setslidemargin} +\itemket{Usage}Setslidepage([leftmarginchange,topmarginchange]); +\itemket{Description}This function changes the margin of slides from the default. +\itemket{Example}Setslidemargin([+5,-10]); +\end{cmd} + +%------------Settitle------------------------------ +\begin{cmd}{Settitle}{settitle} +\itemket{Usage}Settitle(list of title components,options) +\itemket{Description}Make a title slide. +\itemket{Details}Meanings and defaults of options are\\ +\Ltab{25mm}{"Title=..."}\Ltab{50mm}{name of the title file}\verb|"Title=slide0"|\\ +\Ltab{25mm}{"Layery=..."}\Ltab{50mm}{starting vertical position}\verb|"Layery=0"|\\ +\Ltab{25mm}{"Color=..."}\Ltab{50mm}{color of letters}\verb|"Color=blue"|. + +\itemket{Examples} \mbox{}\\ +\hspace{10mm}\verb| Settitle([ |\\ +\hspace{10mm}\verb| "s{60}{20}{Main Title}", |\\ +\hspace{10mm}\verb| "s{60}{50}{Name}", |\\ +\hspace{10mm}\verb| "s{60}{60}{Affiliation}", |\\ +\hspace{10mm}\verb| "s{60}{70}{Info}" |\\ +\hspace{10mm}\verb| ],|\\ +\hspace{10mm}\verb| ["Title=SlideA","Color=[1,1,0,0]"]|\\ +\hspace{10mm}\verb| );| +\end{cmd} + +\newpage +%=== 3D ========= +\section{\ketcindy 3D} + + +%==================================== +\subsection{Setting and Defining} +%------------Ketinit3d-------------------------------- +\begin{cmd}{Ketinit3d}{ketinit3D} +\itemket{Usage}Ketinit3d() +\itemket{Description}Declare the use of KeTCindy3D +\itemket{Details}Euclidean view of Cinderella becomes 3D mode. Two sliders are created to indicate the viewing angle TH($\theta$), FI($\phi$). The initial values are $\mathrm{TH}=0$ and $\mathrm{FI}=0$.\\ +\textcolor{red}{Caution} + This funcition and Ketinit() have to write on Initializaiton slot. +\itemket{Remark}If \verb|Ketinit3d(0)| is used, the subscreen is not displayed. +\end{cmd} + +%------------Start3d-------------------------------- + +\begin{cmd}{Start3d}{start3d} +\itemket{Usage}Start3d(option) +\itemket{Description}3d function to initialize limited variables. +\itemket{Details} +This funcition should be written at the beginning of Draw slot.\\ +The option is a list of geometric points which are not regarded as 3D points. +\itemket{Example}\mbox{}\\ +\verb|Start3d([A,B,C]);|\\ +\verb|Slider("A-C-B");| // A,C,B should not be 3D points. +\end{cmd} + +%--------------Startsurf------------------------------ + +\begin{cmd}{Startsurf}{startsurf} +\itemket{Usage}Startsurf(options) +\itemket{Description}Defines values related to surface rendering. +\itemket{Details}Values are number to divide, size of C, limit of error. +Omitted options selects [50,50],[1500,500,200],[0.01,0.1].\\ +Drawing of a curved surface with hidden line processing is performed in the following procedure.\\ +(1) Startsurf();\\ +(2) Making data wtih draw function.\\ +(3) Draws shapes in batch in C language using function ExeccmdC();. +%\itemket{Examples} \mbox{} +\end{cmd} + +%--------------Isangle------------------------------ +\begin{cmd}{Isangle}{isangle} + +\itemket{Usage}Isangle() +\itemket{Description}Decide the selection of the angle slider. +\itemket{Details}Returns ``true'' if select slider, and ``false'' if not.\\ +In drawing including hidden line processing, reaction is bad when recalculating while moving the viewpoint. With this function, you can write code that does not recalculate while moving the viewpoint. + +\itemket{Examples} \mbox{} + +\verb| fd=[ |\\ +\verb| "z=4-(x^2+y^2)",|\\ +\verb| "x=R*cos(T)","y=R*sin(T)",|\\ +\verb| "R=[0,2]","T=[0,2*pi]","e" \verb| ];|\\ +\verb| if(Isangle(),|\\ +\verb| Sf3data("1",fd);|\\ +\verb| ,|\\ +\verb| Startsurf();|\\ +\verb| Sfbdparadata("1",fd);|\\ +\verb| Crvsfparadata("1","ax3d","sfbd3d1",fd);|\\ +\verb| ExeccmdC("1");|\\ +\verb| );| + + +\end{cmd} + +\subsection{Command for Drawing} +%-------------Bezier3d}------------------------------- + +\begin{cmd}{Bezier3d}{bezier3d} + +\itemket{Usage}Bezier3d(name,list1,list2) +\itemket{Description}Draw a Cubic B\'ezier curve. +\itemket{Details}list1 is list of anchor points, and list2 is list of handle points +\itemket{Examples} \mbox{} + +\verb|Bezier3d("1",["A","B","C"],["D","E","F","G"]);| + +\begin{center} \input{Fig/bezier3d1} \end{center} + +\end{cmd} +%----------Changestyle3d---------------------------------- + +\begin{cmd}{Changestyle3d}{changestyle3d} +\itemket{Usage} Changestyle3d(PD,option) +\itemket{Description}Change the attribute of PD. +\itemket{Details}Change the attribute of PD to one with option specification. PD is a plotting data or a list of plotting data. +\itemket{Examples} \mbox{} + +Make a tetrahedron by four points of space.\\ +\verb|Spaceline("1",[A,B]);|\\ +\verb|Spaceline("2",[A,C]);|\\ +\verb|Spaceline("3",[B,C]);|\\ +\verb|Spaceline("4",[A,D]);|\\ +\verb|Spaceline("5",[B,D]);|\\ +\verb|Spaceline("6",[C,D]);|\\ +then\\ +\verb|Changestyle3d("sl3d1",["dr,3"]);| // one edge become thick.\\ +or\\ +\verb|edges=apply(1..6,"sl3d"+text(#));|\\ +\verb|Changestyle3d(edges,["notex"]);| // all edges become ``notex''.\\ +\end{cmd} +%------------Concatobj-------------------------------- + +\begin{cmd}{Concatobj}{concatobj} +\itemket{Usage}Concatobj(list,options) +\itemket{Description}Concatenates several objects. +%\itemket{Details} +\itemket{Examples} \mbox{} + +A tetrahedron by four vertecies A,B,C,D.\\ +The tetrahedron consists of four planes $\triangle\mathrm{ABC}$, $\triangle\mathrm{ABD}$, $\triangle\mathrm{ACD}$, $\triangle\mathrm{BCD}$.\\ +\begin{center} \input{Fig/concatobj} \end{center} +\verb|Concatobj([[A,B,C],[A,B,D],[A,C,D],[B,C,D]]);|\\ +makes [[A,B,C,D],[[1,2,3],[1,2,4],[1,3,4],[2,3,4]]] +This data is used to drawing tetrahedron. +For example code, see \hyperlink{vertexedgeface}{VertexEdgeFace()}. +\end{cmd} + +%-------------Crvsfparadata------------------------------- + +\begin{cmd}{Crvsfparadata}{crvsfparadata} +\itemket{Usage}Crvsfparadata(name,PD1,PD2,formula) +\itemket{Description}Remove curves hidden by curved face. +%\itemket{Details} +\itemket{Examples} \mbox{} + +For example code, see \hyperlink{execcmdc}{ExeccmdC()}. +\end{cmd} + +%--------------Datalist2d------------------------------ + +\begin{cmd}{Datalist2d}{datalist2d} + +\itemket{Usage}Datalist2d() +\itemket{Description} Generic function to get a list of 2D-plotting data on the screen. +\itemket{Examples} \mbox{} + +We execute the following program then the computer will display "PD=[ax2d,AB2d]" on the console.\\ + +\verb| Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]"); |\\ +\verb| Putpoint3d(["A",[0,-3,0],"B",[0,3,3]],"fix"); |\\ +\verb| Spaceline("1",[A,B]); |\\ +\verb| println("PD="+Datalist2d());| + +\end{cmd} +%--------------Datalist3d------------------------------ + +\begin{cmd}{Datalist3d}{datalist3d} + +\itemket{Usage}Datalist3d() +\itemket{Details}Generic function to get a list of 3D-plotting data. +\itemket{Examples} \mbox{} + +We execute the following program then the computer will display "PD=[ax3d,AB3d]" on the console.\\ + +\verb| Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]"); |\\ +\verb| Putpoint3d(["A",[0,-3,0],"B",[0,3,3]],"fix"); |\\ +\verb| Spaceline("1",[A,B]); |\\ +\verb| println("PD="+Datalist3d()); | + +\end{cmd} +%--------------Dist3d------------------------------ + +\begin{cmd}{Dist3d}{dist3d} + +\itemket{Usage}Dist3d(a1,a2) +\itemket{Description}Generic function to get the 3D-distance of two points. +\itemket{Examples} \mbox{} + +Following three programs return the same result.\\ + +\verb| Dist3d("A","B"); |\\ +\verb| Dist3d(A,B); |\\ +\verb| Dist3d(A3d,B3d); | + +\end{cmd} +%--------------Drawpoint3d------------------------------ + +\begin{cmd}{Drawpoint3d}{drawpoint3d} + +\itemket{Usage}Drawpoint3d(list of coordinates) +\itemket{Description}Generic function to draw 3D-points. +\itemket{Details}These points are not geometric point. +To convert the geometric point, use \hyperlink{putpoint3d}{Putpoint3d()}. +To output in the \TeX file, use \hyperlink{pointdata}{Pointdata()} or \hyperlink{drwpt}{Drawpoint()}. +\itemket{Examples} \mbox{} + +\verb| Drawpoint3d([1,1,1]); |\\ +\verb| Drawpoint3d([[1,1,1],[0,1,0]]); | + +\itemket{Remark} \hyperlink{mkpttable}{Comparative chart of drawing of points} + +\end{cmd} +%--------------ExeccmdC------------------------------ + +\begin{cmd}{ExeccmdC}{execcmdc} + +\itemket{Usage}ExeccmdC(name,options1,options2) +\itemket{Description}Generic function to draw 3D-surface. The return value is the list of processed plot data. +\itemket{Details}options1=no option or " "(space) or "r" or "m" and "Wait=integer" , line type. Default value of Wait is 20.\\ +No option or " "(space) means\\ +(1) If there exist no deta then it make a new data file.\\ +(2) If there exist deta then it read the data file.\\ +"m" means that it remake the new data file.\\ +"r" means that it reread the existing data file.\\ + +option2="nodisp" or line type of hidden line. Default is "do".\\ + +If we specify only option2 then we denote that option1 is empty list:[]. +\itemket{Examples} \mbox{} + +left figure + +\verb| Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]"); |\\ +\verb| Putpoint3d(["A",[0,-3,0],"B",[0,3,3]],"fix"); |\\ +\verb| Spaceline([A,B]); |\\ +\verb| fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]","e"]; |\\ +\verb| Startsurf(); |\\ +\verb| Sfbdparadata("1",fd); |\\ +\verb| Crvsfparadata("1","AB3d","sfbd3d1",fd); |\\ +\verb| Crvsfparadata("2","ax3d","sfbd3d1",fd); |\\ +\verb| ExeccmdC("1"); | + +right figure + +\verb| ExeccmdC("1",[],["nodisp"]);| + +\hspace{20mm}\input{Fig/crvsfparadata2} \hspace{20mm} \input{Fig/crvsfparadata1} + +By using the return value, you can change the hidden line style (line style, color). +The same as the return value is displayed as "readoutdata from template3D1.txt:" on the console, so you can decide the operation target by looking at it. For example, in the left diagram above, the hidden line of line AB is the fourth crvsfh3d1 in the list, so you can make it a red dashed line as follows. + +\verb| ret=ExeccmdC("1");|\\ +\verb| Changestyle3d(ret_4,["da","Color=red"]);|\\ + +\hspace{20mm} \input{Fig/execcmdc1} + +In addition, please refer to the next. \hyperlink{sfbdparadata}{Sfbdparadata()},\hyperlink{wireparadata}{Wireparadata()} + +\end{cmd} +%--------------Embed------------------------------ + +\begin{cmd}{Embed}{embed} +\itemket{Usage}Embed(name,PDlist,formula,varlist) +\itemket{Description}Embed plotting data of 2D in plane of 3D. +\itemket{Details}PDlist is list of plotting data of 2D. Plane of 3D is given by formula and varlist. +\itemket{Examples} \mbox{} + +Embed an equilateral triangle and its circumscribed circle in a plane in 3D space. + +(1) \verb|vo|, \verb|vx|, \verb|vy| are defined with function {\tt \hyperlink{defvar}{Defvar}} that uses R.\\ +\verb|Xyzax3data("","x=[-5,4]","y=[-10,4]","z=[-5,5]",["a","O"]);|\\ +\verb|Spaceline("1",[[3,0,0],[3,6,0],[3,6,6],[3,0,6],[3,0,0]]);|\\ +\verb|Defvar("vo=[3,3,3]");| // Defined in R\\ +\verb|Defvar("vx=[0,1,0]");| // Defined in R\\ +\verb|Defvar("vy=[0,0,1]");| // Defined in R\\ +\verb|Putpoint3d(["A",[3,3,3]],"fix");|\\ +\verb|Circledata("1",[[0,0],[2,0]],["nodisp"]);|\\ +\verb|Listplot("1",[[0,2],[-sqrt(3),-1],[sqrt(3),-1],[0,2]],["nodisp"]);|\\ +\verb|Embed("1",["cr1","sg1"],"vo+x*vx+y*vy","[x,y]");|\\ +\verb|Ptsize(3);|\\ +\verb|Drawpoint(A);| + +Following view is as \verb|TH|=75,\verb|FI|=70. + \begin{center} \input{Fig/embed01} \end{center} + +(2) A, B, and C are defined instead of vo, vx, vy defined by Defvar. But, in this case, points B and C are not drawn in the plane. So, the figure may be difficult to understand.\\ +\verb|Putpoint3d(["A",[3,3,3],"B",[0,1,0],"C",[0,0,1]],"fix");|\\ +\verb|Embed("1",["cr1","sg1"],"A3d+x*B3d+y*C3d","[x,y]");|\\ +\begin{center} +\includegraphics[bb=0.00 0.00 477.02 383.02,width=8cm]{Fig/embed03.pdf} +\end{center} +To draw the B and C on the embedded figure, code changes as follows. + +\verb|Putpoint3d(["A",[3,3,3],"B",[3,4,3],"C",[3,3,4]],"fix");|\\ +\verb|Embed("1",["cr1","sg1"],"A3d+x*B3d+y*C3d","[x,y]");|\\ + +(3) The function {\tt \hyperlink{perpplane}{Perpplane}} is used in next.\\ +\verb|Xyzax3data("","x=[-5,5]","y=[-8,5]","z=[-5,5]");|\\ +\verb|Putpoint3d(["O",[0,0,0],"P",[1,1,2]],"fix");|\\ +\verb|Perpplane("E-F","P",P3d-O3d,"put");|\\ +\verb|vec1=3*(E3d-P3d);|\\ +\verb|vec2=3*(F3d-P3d);|\\ +\verb|Putpoint3d(["A",P3d+vec1+vec2],"fix");|\\ +\verb|Putpoint3d(["B",P3d+vec1-vec2],"fix");|\\ +\verb|Putpoint3d(["C",P3d-vec1-vec2],"fix");|\\ +\verb|Putpoint3d(["D",P3d-vec1+vec2],"fix");|\\ +\verb|Spaceline("1",[A,B,C,D,A]);|\\ +\verb|Circledata("1",[[0,0],[2,0]],["nodisp"]);|\\ +\verb|Listplot("1",[[0,2],[-sqrt(3),-1],[sqrt(3),-1],[0,2]],["nodisp"]);|\\ +\verb|Embed("1",["cr1","sg1"],"P3d+x*(E3d-P3d)+y*(F3d-P3d)","[x,y]");|\\ +\verb|Ptsize(3);|\\ +\verb|Drawpoint(P);|\\ +\verb|Skeletonparadata("1");| + \begin{center} \input{Fig/embed02} \end{center} +\end{cmd} + +%------------Intersectcrvsf-------------------------------- + +\begin{cmd}{Intersectcrvsf}{intersectcrvsf} +\itemket{Usage}Intersectcrvsf(name,PD,formula) +\itemket{Description}Returns a list of intersects of a curve and curved face. +\itemket{Details}PD is plotting data of curve. Curved face is given by formula. +\itemket{Examples} \mbox{} + +\verb|Putpoint3d(["A",[0,-3,0],"B",[0,3,2]],"fix");|\\ +\verb|Spaceline("1",[A,B]);|\\ +\verb|fd=[|\\ +\verb| "z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)",|\\ +\verb| "R=[0,2]","T=[0,2*pi]","e"|\\ +\verb|];|\\ +\verb|Startsurf();|\\ +\verb|Sfbdparadata("1",fd);|\\ +\verb|Intersectcrvsf("1","sl3d1",fd);|// The result [[0,1.57,1.52],[0,-1.91,0.36]] will be shown in the console.\\ +\verb|ExeccmdC("1",[""]);|\\ +\verb|println("Intersect="+intercrvsf1);|\\ +\verb|Drawpoint3d(intercrvsf1); |\\ +\verb|Letter(Parapt(intercrvsf1_1),"ne","P1");|\\ +\verb|Letter(Parapt(intercrvsf1_2),"ne","P2");|\\ + +\hspace{30mm}\includegraphics[bb=0.00 0.00 325.55 292.54,width=8cm]{Fig/Intersectcurvsf.pdf} +\end{cmd} + +%-------------IntersectsgpL------------------------------- + +\begin{cmd}{IntersectsgpL}{intersectsgpL} +\itemket{Usage}IntersectsgpL(name,segment,plane,option) +\itemket{Description}Returns a intersection of a line segment and plane. +\itemket{Details}Specify a line segment with two endpoints. Specify the plane as three points that it contains. Options are ``put'' or ``draw'', and if omitted select ``draw''.\\ +Following two programs return the same result.\\ +\verb| IntersectsgpL("P","A-B","C-D-E"); |\\ +\verb| IntersectsgpL("P",[A3d,B3d],[C3d,D3d,E3d]); | + +% \verb|IntersectsgpL("P",[p1,p2],[p3,p4,p5],"draw");| +\itemket{Examples} \mbox{} + +cutcube + +\verb| Hn=3; |\\ +\verb| Putaxes3d(Hn); |\\ +\verb| Putpoint3d("A",[Hn,Hn,0],"fix"); |\\ +\verb| Putpoint3d("B",[Hn,0,Hn],"fix"); |\\ +\verb| Putpoint3d("C",[Hn,Hn,Hn],"fix"); |\\ +\verb| Putpoint3d("D",[0,Hn,Hn],"fix"); |\\ +\verb| Putonseg3d("E",X,B); |\\ +\verb| Putonseg3d("F",Z,B); |\\ +\verb| Putonseg3d("G",Z,D); |\\ +\verb| IntersectsgpL("M","A-C","E-F-G","put"); |\\ +\verb| IntersectsgpL("N","D-Y","E-F-G","put"); |\\ +\verb| phd=Concatobj([[O,X,A,Y],[X,A,M,E],[A,Y,N,M],[Y,N,G,Z,O], |\\ +\verb| [O,Z,F,E,X],[Z,F,G],[E,M,N,G,F]]); |\\ +\verb| VertexEdgeFace("1",phd,["Edg=nogeo"]); |\\ +\verb| Nohiddenbyfaces("1","phf3d1"); | + +\hspace{20mm}\includegraphics[bb=0.00 0.00 713.04 327.02,width=10cm]{Fig/IntersectsgpL0.pdf} + +add next script (right figure) + +\verb| Spaceline("1",[E,B,F],["do"]); |\\ +\verb| Spaceline("2",[B,C,M],["do"]); |\\ +\verb| Spaceline("3",[C,D,N],["do"]); |\\ +\verb| Spaceline("4",[D,G],["do"]); |\\ + +\begin{center} \input{Fig/IntersectsgpL1} \input{Fig/IntersectsgpL2} \end{center} + +\end{cmd} +%-------------Invparapt------------------------------- + +\begin{cmd}{Invparapt}{invparapt} +\itemket{Usage}Invparapt(coordinate,PD) +\itemket{Description}Returns the point on the curve that is corresponding to the coordinates on the Euclidean view. +\itemket{Details}Returns the 3D-coordinates of the point on the curve(\verb|PD|) from the \verb|coordinate| on the Euclidean view. +\itemket{Examples} \mbox{} + +Find on the screen (not in the space) intersection points (\verb|tmp_1|, \verb|tmp_2|, $\dots$) of the spiral curve and the space line. Draw a part of the spiral whose end points (\verb|p1| and \verb|p2|) are selected from the intersection points.\\ +\verb| Spaceline("1",[[-1,-1,-1],[1,2,3]]); |\\ +\verb| Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["do"]);|\\ +\verb| tmp=Intersectcrvs("sl2d1","sc2d1");|\\ +\verb| p1=Invparapt(tmp_1,"sc3d1");|\\ +\verb| p2=Invparapt(tmp_2,"sc3d1");|\\ +\verb| Partcrv3d("1",p1,p2,"sc3d1"); |\\ +\begin{center} \input{Fig/invparapt} \end{center} +\end{cmd} + +%---------Mkbezierptcrv3d----------------------------------- +\begin{cmd}{Mkbezierptcrv3d}{mkbezierptcrv3d} +\itemket{Usage}Mkbezierptcrv3d(list) +\itemket{Description}Draw a cubic B\'ezier curve from nodes. +\itemket{Details}Arrange the control points automatically. +After that, move the nodes and the control points and correct the cubic B\'ezier curve to what you want to draw. See the function {\tt \hyperlink{bezier}{Bezier3d}}. +\itemket{Examples} \mbox{} + +\verb|Mkbezierptcrv3d(["A","B","C","D"]);| +\end{cmd} + +%--------------Nohiddenbyfaces------------------------------ +\begin{cmd}{Nohiddenbyfaces}{nohiddenbyfaces} + +\itemket{Usage}Nohiddenbyfaces(name,PD1,PD2,option1,option2) +\itemket{Description}Generic function to draw hidden lines by the surfaces. +\itemket{Details}PD1 are hidden lines, PD2 are surfaces.\\ +If we omit PD1 then all lines are processing objects.\\ +By default, hidden lines are drawn with dotted lines.\\ +Option1=line type of PD2 and option2=line type of hidden lines.\\ +If we specify only option2 then option1 must be null list:[].\\ +\itemket{Examples} \mbox{} + +\begin{verbatim} +Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,4]"); +Putpoint3d("A",2*[-1,-1/sqrt(3),0],"fix"); +Putpoint3d("B",2*[1,-1/sqrt(3),0],"fix"); +Putpoint3d("C",2*[0,sqrt(3)-1/sqrt(3),0],"fix"); +Putpoint3d("D",2*[0,0,2*sqrt(6)/3],"fix"); +phd=Concatobj([[A,B,C],[A,B,D],[A,C,D],[B,C,D]]); +VertexEdgeFace("1",phd,["Edg=nogeo"]); +Nohiddenbyfaces("1","phf3d1"); +\end{verbatim} +(left figure) + +\verb|Nohiddenbyfaces("1","phe3d1","phf3d1",["dr,2"],["da"]); | +(right figure) + +\begin{center} \input{Fig/nohiddenbyfaces1} \input{Fig/nohiddenbyfaces2} \end{center} + +We draw hidden axes with broken line in the following example.\\ +\verb|Nohiddenbyfaces("1","ax3d","phf3d1",[],["da"]);| + +\end{cmd} +%-------------Parapt------------------------------- +\begin{cmd}{Parapt}{parapt(coordinate)} + +\itemket{Usage}Parapt(3D-coordinate) +\itemket{Description}Generic function to return the 2D-coordinate on the plane of projection for the 3D-point. +\itemket{Examples} \mbox{} + +\verb|println(Parapt([2,1,5]));| +\end{cmd} +%--------------Perpplane------------------------------ +\begin{cmd}{Perpplane}{perpplane} + +\itemket{Usage}Perpplane(name, point, vector, option) +\itemket{Description}Generic function to return the two points on the plane which is passing through the point and orthogonal to the vector. +\itemket{Details}The name is the two points name such as the form "A-B".\\ +Point is the name or the coordinate of the point through which the plane is passing.\\ +The vector is the normal of the plane.\\ +If option is "put" then the function draw two geometric points. +\itemket{Examples} \mbox{} + +Return the points A,B on the plane which is passing through the point P and orthogonal to the vector [1,1,1]\\. +\verb|Perpplane("A-B","P",[1,1,1],"put");|\\ + +Return the points A,B on the plane which is passing through the point P and orthogonal to the line segment OP. In this situation PA and PB is orthogonal and length of PA and PB are 1.\\. +\verb|Perpplane("A-B","P",P3d-O3d);|\\ + +Draw point A,B,C,D by draw tool of Cinderella. + +\begin{layer}{120}{0} +\putnotese{100}{20}{ \input{Fig/perpplane}} +\end{layer} + +\verb| Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,4]"); |\\ +\verb| Putpoint3d(["O",[0,0,0]],"fix"); |\\ +\verb| Putpoint3d(["P",[1,1,1]],"fix"); |\\ +\verb| Perpplane("E-F","P",P3d-O3d,"put"); |\\ +\verb| vec1=2*(E3d-P3d); |\\ +\verb| vec2=2*(F3d-P3d); |\\ +\verb| Putpoint3d(["A",P3d+vec1+vec2],"fix"); |\\ +\verb| Putpoint3d(["B",P3d+vec1-vec2],"fix"); |\\ +\verb| Putpoint3d(["C",P3d-vec1-vec2],"fix"); |\\ +\verb| Putpoint3d(["D",P3d-vec1+vec2],"fix"); |\\ +\verb| Spaceline("1",[A,B,C,D,A]); |\\ +\verb| Arrowdata([O,P],["dr,2"]); |\\ +\verb| Letter([P,"w","P",A,"ne","A",B,"e","B",C,"ws","C",D,"nw","D",]); |\\ +\verb| Skeletonparadata("1"); |\\ + +\end{cmd} +%-------------Perppt------------------------------- +\begin{cmd}{Perppt}{perppt} + +\itemket{Usage}Perppt(name, point, list of points, option) +\itemket{Description}Generic function to get the foot of a perpendicular for the plane from the point. +\itemket{Details}We specify the plane by the list of points.\\ +Option is the following.\\ +"draw": draw the point, don't make the geometric point(default).\\ +"put" : make the geometric point.\\ +"none": only make the data and don't draw. +\itemket{Examples} \mbox{} + +We get the coordinate of the point H in the variable H3d for the following examples.\\ +\verb|Perppt("H","O","A-B-C","none");|\\ +\verb|Perppt("H","O","A-B-C");|\\ +\verb|Perppt("H","O","A-B-C","put");|\\ + +Example + +\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,4]"); |\\ +\verb|Putpoint3d("O",[0,0,0],"fix"); |\\ +\verb|Putpoint3d("A",[3,0,0],"fix"); |\\ +\verb|Putpoint3d("B",[0,3,0],"fix"); |\\ +\verb|Putpoint3d("C",[0,0,3],"fix"); |\\ +\verb|Perppt("H","O","A-B-C","put"); |\\ +\verb|Spaceline("1",[A,B,C,A]); |\\ +\verb|Spaceline("2",[O,H]); |\\ +\verb|Letter([A,"nw","A",B,"ne","B",C,"ne","C",O,"nw","O",H,"ne","H"]); |\\ + +\begin{center} \input{Fig/perppt} \end{center} + +\end{cmd} +%--------------Partcrv3d------------------------------ +\begin{cmd}{Partcrv3d}{partcrv3d} + +\itemket{Usage}Partcrv3d(name, start point, end point, PD) +\itemket{Description}Generic function to draw the part curve of the curve PD. +\itemket{Examples} \mbox{} + +\verb| Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,4]"); |\\ +\verb| Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=100"]); |\\ +\verb| PutonCurve3d("C","sc3d1"); |\\ +\verb| PutonCurve3d("D","sc3d1"); |\\ +\verb| Partcrv3d("1",C,D,"sc3d1",["dr,3"]); |\\ +\verb| Letter([C,"n2","C",D,"n2","D"]); |\\ + +\begin{center} \input{Fig/partcrv3d1} \end{center} + +\verb|Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=10","do"]);|\\ +\verb|Partcrv3d("1",3.3,8.5,"sc3d1");| // 3.3 and 8.5 are plotting data number of the points. +\begin{center} \input{Fig/partcrv3d2} \end{center} + +\end{cmd} + +%--------------Phparadata------------------------------ +\begin{cmd}{Phparadata}{phparadata} + +\itemket{Usage}Phparadata(name, name2, list of options) +\itemket{Description}Generic function to draw the polyhedron by performing hidden line processing. +\itemket{Details}Name2 is the plotting data of polyhedron which we get form the function VertexEdgeFace(). +\itemket{Examples} \mbox{} + +\verb|Setdirectory( Dirhead+"/data/polyhedrons_obj");| //Many polyhedron data exist in this directory.\\ +\verb|phd=Readobj("s06.obj",["size=3"]);| //"s06" is the name of truncated icosahedron data.\\ +\verb|Setdirectory(Dirwork);| //Chage work space.\\ +\verb|VertexEdgeFace("s06",phd,["Edg=nogeo"]);|\\ +\verb|Phparadata("1","s06");| //default usage, left figure\\ + +The last two lines we can write the following.\\ +\verb|VertexEdgeFace("1",phd,["Edg=nogeo"]);|\\ +\verb|Phparadata("1","1");| +\begin{center} + \includegraphics[bb=0 0 1452 730 , width=10cm]{Fig/phparadata01.pdf} +\end{center} + +\verb|Phparadata("1","s06",["dr,2","Hidden=do"]);| //right figure + \begin{center} \input{Fig/phparadata02} \input{Fig/phparadata03} \end{center} +\end{cmd} + +%--------------Phparadata------------------------------ +\begin{cmd}{Pointdata3d}{pointdata3d} + +\itemket{Usage}Pointdata3d(name, point list, options) +\itemket{Description}Generic function to generate data of the point list. +\itemket{Details}Options are "Size=","Color=". +\itemket{Examples} \verb|Pointdata3d("1",[[0,1,0],[1,1,2]],["Size=2","Color=red"]);| +\end{cmd} + +%---------------Projcoordpara----------------------------- +\begin{cmd}{Projcoordpara}{projcoordpara} + +\itemket{Usage}Projcoordpara(3D-coordinate) +\itemket{Description}Generic function to get the projection coordinate on the Euclidean view coordinate system. +\itemket{Examples} \mbox{} + +\verb|println(Projcoordpara([3,1,2]));| //printed value is such as [-0.65, 1.7, 3.27] where the third element means the (signed) distance from the projection plane. +\end{cmd} +%-----------------Putaxes3d--------------------------- +\begin{cmd}{Putaxes3d}{putaxes3d} + +\itemket{Usage}Putaxes3d([x,y,z]) +\itemket{Description}Generic function to make the geometric points on the coordinate axis. +\itemket{Details}For the argument [x,y,x] we get the four geometric points X(x,0,0), Y(0,y,0), Z(0,0,z) and O(0,0,0). +\itemket{Examples} \mbox{} + +\verb|Putaxes3d([1,2,3]);|\\ +\verb|Putaxes3d(a);| //this equals to \verb|Putaxes3d([a,a,a]);| + +\end{cmd} +%--------------PutonCurve3d------------------------------ +\begin{cmd}{PutonCurve3d}{putonCurve3d} + +\itemket{Usage} PutonCurve3d(name, PD) +\itemket{Description}Generic function to make the geometric point on the 3D-curve. +\itemket{Details}This point moves along the curve by mouse dragging. +\itemket{Examples} \mbox{} + +Make reference to \hyperlink{partcrv3d}{Partcrv3d()} +\end{cmd} +%----------------Putonseg3d---------------------------- +\begin{cmd}{Putonseg3d}{putonseg3d} + +\itemket{Usage}Putonseg3d(name, point1, point2) +\itemket{Description}Generic function to make the geometric point on the 3D-segment. +\itemket{Details}We get the middle point between the two points. This point moves along the segment by mouse dragging. +\itemket{Examples} \mbox{} + +\verb|Putonseg3d("C",A,B);| //Put C on the center of A and B.\\ +\verb|Putonseg3d("C",[A,B]);| //same as above +\end{cmd} +%---------------Putpoint3d----------------------------- +\begin{cmd}{Putpoint3d}{putpoint3d} + +\itemket{Usage}Putpoint3d(list of 3D-points, option) +\itemket{Description}Generic function to draw the geometric point in the space. +\itemket{Details}Option is "fix" or "free"(default). +\itemket{Examples} \mbox{} + +\verb|Putpoint3d(["A",[2,1,3]]);|\\ +\verb|Putpoint3d(["A",[2,1,3]],"free");| //same as above\\ +\verb|Putpoint3d(["A",[1,1,1],"C",[1,0,1]],"fix");|\\ + +These points don't output in the \TeX file. To output in the \TeX file use the following \hyperlink{pointdata}{Pointdata()} or \hyperlink{drwpt}{Drawpoint()} + +In the 3D-drawings the coordinate of the point name A is A3d. + +\itemket{Remark} \hyperlink{mkpttable}{Comparative chart of drawing of points} + +\end{cmd} +%-------------Readobj------------------------------- +\begin{cmd}{Readobj}{readobj} + +\itemket{Usage}Readobj(filename, option) +\itemket{Description}Read in the polyhedron data in the folder name \verb|polyhedrons_obj| +\itemket{Details}Option is ["size=n"] then we get the magnification of n times. If n is negative value then we have the image of vertical inversion. +\itemket{Examples} \mbox{} + +\verb|Setdirectory( Dirhead+"/data/polyhedrons_obj");| //Many polyhedron data exist in this directory.\\ +\verb|polydt=Readobj("r02.obj",["size=2"]);| //"r02" is the name of regular octahedron data.\\ +\verb|Setdirectory(Dirwork);| //Chage work space.\\ +\verb|VertexEdgeFace("1",polydt,["Edg=nogeo"]);| //output data name is phf3d1\\ +\verb|Nohiddenbyfaces("1","phf3d1");| +\begin{center} \input{Fig/readobj} \end{center} + +\begin{center} \input{Fig/readobj} \end{center} + +The main polyhedral data is as follows. + + \input{Fig/kobayashiE} + +Besides this, there are facing convex polyhedrons from n01 to n92. + +cf.http://mitani.cs.tsukuba.ac.jp/polyhedron/ + +\end{cmd} + + +%---------------Reflectdata3d----------------------------- +\begin{cmd}{Reflectdata3d}{reflectdata3d} + +\itemket{Usage}Reflectdata3d(name, list of PD, list, options) +\itemket{Description}Generic function to draw the reflection of plotting data. +%\itemket{Details} +\itemket{Examples}\mbox{} + +\verb| Putpoint3d(["A",[0,-2,0],"B",[2,-2,0],"C",[1,-2,2],"D",[1,0,1], |\\ +\verb| "E",[1,0,0]],"fix"); |\\ +\verb| Spaceline("1",[A,B,C,A]); |\\ + +Reflection on the point D + +\verb| Reflectdata3d("1",["sl3d1"],[D3d],["Color=blue","dr,2"]);|\\ + +\begin{center}\input{Fig/reflectdata3d01}\end{center} + +Reflection on the straight line DE + +\verb| Reflectdata3d("1",["sl3d1"],[D3d,E3d],["Color=blue","dr,2"]);|\\ + +\begin{center}\input{Fig/reflectdata3d02}\end{center} + +Reflection on the plane BDE + +\verb| Reflectdata3d("1",["sl3d1"],[D3d,E3d,B3d],["Color=blue","dr,2"]);|\\ + +\begin{center}\input{Fig/reflectdata3d03}\end{center} + +\end{cmd} + +%---------------Reflectpoint3d----------------------------- +\begin{cmd}{Reflectpoint3d}{reflectpoint3d} + +\itemket{Usage}Reflectpoint3d(coordinate,list) +\itemket{Description}Return the coordinate of the reflect point. +\itemket{Details}Argument "list" is the list of 3D-coordinate of the points. The following examples are the details. +\itemket{Examples} \mbox{} + +\verb|Reflectpoint3d(A3d,[B3d]); | // reflection of the point A on the point B\\ +\verb|Reflectpoint3d(A3d,[B3d,C3d]); | // reflection of the point A on the line BC\\ +\verb|Reflectpoint3d(A3d,[B3d,C3d,D3d]);| // reflection of the point A on the plane BCD +\end{cmd} + +%---------------Rotatedata3d----------------------------- +\begin{cmd}{Rotatedata3d}{rotatedata3d} + +\itemket{Usage}Rotatedata3d(name, list of PD, vec, angle, options) +\itemket{Description}Generic function to rotate plotting data around the vector vec starting from the origin. +\itemket{Details}The options are the center point (the starting point of vec) and so on. +\itemket{Examples} \mbox{} + +\verb|Xyzax3data("","x=[-5,4]","y=[-5,5]","z=[-5,4]",["a","O"]); |\\ +\verb|Putpoint3d(["A",[0,-2,0],"B",[2,-2,0],"C",[1,-2,2],"D",[1,-2,3]],"fix"); |\\ +\verb|Spaceline("1",[A,B,C,A]); |\\ +\verb|Spaceline("2",[C,D]); |\\ +\verb|Rotatedata3d("1",["sl3d1","CD3d"],[0,0,1],pi/2,["dr,2"]); |\\ +\verb|Letter([A,"s","A",B,"w","B",C,"ne","C",D,"ne","D"]); | + +\begin{center} +\input{Fig/rotatedata3d01} +\end{center} + +\verb|Rotatedata3d("1",["sl3d1","CD3d"],[0,0,1],pi/2,[[1,0,0],"dr,2"]);|\\ +\begin{center} +\input{Fig/rotatedata3d02} +\end{center} + +\end{cmd} + +%--------------Rotatepoint3d------------------------------ +\begin{cmd}{Rotatepoint3d}{rotatepoint3d} + +\itemket{Usage}Rotatepoint3d(coordinate,vec,angle,center) +\itemket{Description}Return the coordinate of the rotate point. +\itemket{Details}"vec"(3D-vector) represents the axis of rotation and "center" means the start point of 3D-vector. Default value of center is the origin (of the coordinate axes). +\itemket{Examples} \mbox{} + +\verb| Putpoint3d("A",[0,-1,0]);| \\ +\verb| Rotatepoint3d(A3d,[0,0,1],pi/2); | // return value is [1,0,0].\\ +\verb| Rotatepoint3d(A3d,[0,0,1],pi/2,[1,1,1]);| // return value is [3,0,0]. + +\end{cmd} + +%---------Scaledata3d----------------------------------- +\begin{cmd}{Scaledata3d}{scaledata3d} + +\itemket{Usage}Scaledata3d(name, list of PD, vec, [options]) +\itemket{Description}Generic function to scale plotting data. +\itemket{Details}Vec is a three-dimensional vector to express ratio. The center and options are given in a list. +\itemket{Examples}\mbox{} + +\verb|Putpoint3d(["A",[0,-2,0],"B",[2,-2,0],"C",[1,-2,2]],"fix");|\\ +\verb|Spaceline("1",[A,B,C,A]);|\\ +\verb|Spacecurve("1","[cos(t)+1,sin(t)+1,1]","t=[0,2*pi]",["Num=100"]);|\\ +\verb|Scaledata3d("1",["sl3d1","sc3d1"],[2,2,2],[[0,0,0],"dr,2"]);|\\ + +\begin{center} +\input{Fig/scaledata3d} +\end{center} +\end{cmd} + +%--------------Scalepoint3d------------------------------ +\begin{cmd}{Scalepoint3d}{scalepoint3d} + +\itemket{Usage}Scalepoint3d(point,vector,center) +\itemket{Description}Execute scale transformation for the coordinate of the point. +\itemket{Details}$\text{Scalepoint3d}([a_i],[v_i],[c_i])=[(a_i-c_i)v_i+c_i]$ +\itemket{Examples} \mbox{} + +\verb|Putpoint3d(["A",[2,-1,2]],"fix");|\\ +\verb|pt=Scalepoint3d(A3d,[3,2,4],[1,1,1]); //pt=[4,-3,5]|\\ +\verb|Putpoint3d(["B",pt],"fix");| + +\end{cmd} + +%--------------Sf3data------------------------------ +\begin{cmd}{Sf3data}{sf3data} + +\itemket{Usage}Sf3data(name, list, list of options) +\itemket{Description}Generic function to draw the wire frame model of the surface. +\itemket{Details}Second argument is the list of equations and ranges. \\ +Options are the followings.\\ +"Num=[a,b]": x- and y-division number, default(or initial values) are a=b=25.\\ +"Wire=[a,b]": x- and y-wire number, default(or initial values) are a=b=20.\\ +"ewsn": From east to south, this indicates the boundary. +\itemket{Examples} \mbox{} + +\verb|Sf3data("1",["z=x^2-y^2","x=[-2,2]","y=[-2,2]"]);|\\ +\ \ //This is the first expression of the equation for the surface. Second argument is the list of equation, x-range and y-range. +\begin{center} \input{Fig/saddle1} \end{center} + +\verb|fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]"];|\\ +\verb|Sf3data("1",fd);| //fd is the second argument.\\ +(left figure)\\ + +\verb|fd=["z=sin(sqrt(abs(x^2+y^2)))","x=r*cos(t)","y=r*sin(t)",|\\ +\verb|"r=[0,3]","t=[0,2*pi]"];|\\ +\verb|Sf3data("1",fd);|\\ +(right figure) +\begin{center} \input{Fig/parabola} \input{Fig/sf3ddata3} \end{center} + +\verb|fd=["p","x=2*sin(u)*cos(v)","y=2*sin(u)*sin(v)","z=2*cos(u)",|\\ +\verb|"u=[0,pi]","v=[0,2*pi]"];| //"p" indicates the 3D-parameter expression.\\ +\verb|Sf3data("1",fd);| +\begin{center} \input{Fig/sf3ddata4} \end{center} + +\end{cmd} + +%-------------Sfbdparadata------------------------------- +\begin{cmd}{Sfbdparadata}{sfbdparadata} + +\itemket{Usage}Sfbdparadata(name, list, list of options) +\itemket{Description}Generic function to make the surface by performing hidden line processing. +\itemket{Details}Second argument is the list of equations and ranges same as the function "Sf3data". \\ +options1=no option or " "(space) or "r" or "m" and "Wait=integer". Default value of Wait is 20.\\ +No option or " "(space) means\\ +(1) If there exist no deta then it make a new data file.\\ +(2) If there exist deta then it read the data file.\\ +"m" means that it remake the new data file.\\ +"r" means that it reread the existing data file.\\ + +option2="nodisp" or line type of hidden line. Default is "nodisp".\\ + +If we specify only option2 then we denote that option1 is empty list:[]. +\itemket{Examples} \mbox{} + +\verb|fd=["x=x^2-y^2","x=[-2,2]","y=[-2,2]"];|\\ +\verb|if(Isangle(),| //selecting the slider point, draw wire frame surfaces.\\ +\verb| Sf3data("1",fd);|\\ +\verb| ,|\\ +\verb| Startsurf();|\\ +\verb| Sfbdparadata("1",fd);|\\ +\verb| ExeccmdC("1",[],["nodisp"]);| //draw the surface\\ +\verb|);|\\ +(left figure)\\ + +\verb|ExeccmdC("1",["dr,2"],["do"]);| //the surface with thick line, hidden line with dotted line.\\ +(right figure) +\begin{center} \input{Fig/sfbdpara01} \input{Fig/sfbdpara02}\end{center} + +\verb|fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]","e"];|\\ +\ \ //"e"=east indicate the boundary line $R=2$, $0 < T < 2\pi$.\\ + +\begin{center} \input{Fig/sfbdpara03} \input{Fig/sfbdpara04} \end{center} + +\end{cmd} +%-------------Skeletonparadata------------------------------- +\begin{cmd}{Skeletonparadata}{skeletonparadata} + +\itemket{Usage}Skeletonparadata(name, PDlist, PDlist, option) +\itemket{Description}Generic function to draw the lines by performing hidden line processing. +\itemket{Details}This function draw the second argument(the list of the lines) by performing hidden line processing which are hidden by the third argument(the list of the lines). If both arguments are omitted the function draw all lines by performing hidden line processing. +\itemket{Examples} \mbox{} + +\verb| Xyzax3data("","x=[-5,5]","y=[-5,4]","z=[-5,3]");| //Data name is "ax3d".\\ +\verb| Putpoint3d(["A",[0,-2,-2]],"fix");|\\ +\verb| Putpoint3d(["B",[-1,1,3]],"fix");|\\ +\verb| Spaceline([A,B]);| //Data name is "AB3d".\\ +\verb| Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=100"]);| //Data name is "sc3d1".\\ + +\verb|Skeletonparadata("1");| //(left figure)\\ +\verb|Skeletonparadata("1",[2]);| //option\verb|=[2]|: gap of lines\verb|=2| (center figure)\\ +\verb|Skeletonparadata("1",["AB3d","ax3d"],["sc3d1"]);| //(right figure) +\begin{center} \input{Fig/skeletonparadata01} \input{Fig/skeletonparadata02} + \input{Fig/skeletonparadata03} \end{center} + +\end{cmd} +%-------------Spacecurve------------------------------- +\begin{cmd}{Spacecurve}{spacecurve} + +\itemket{Usage}Spacecurve(name, formula, domain, options) +\itemket{Description}Generic function to draw the space curve. +\itemket{Examples} \mbox{} +\verb|Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=100"]);|\\ +option=["Num=100"]: division number of the interval "t=[0,4*pi]" + \begin{center} \input{Fig/rasen} \end{center} +\end{cmd} +%--------------Spaceline------------------------------ +\begin{cmd}{Spaceline}{spaceline} + +\itemket{Usage} Spaceline(name, list) +\itemket{Description}Generic function to draw the space polygonal lines. +\itemket{Details}Options are line type: "dr" or "da" or "do". +\itemket{Examples} \mbox{} + +\verb|Spaceline("1",[[2,5,1],[4,2,3]]);| //draw the line between two points\\ +\verb|Spaceline("2",[A,B,C,A]);| //draw the triangle ABC\\ + +\begin{layer}{150}{0} +\putnotese{100}{-5}{ \input{Fig/oresenex01}} +\end{layer} + +\verb|pt=[[2,0,0],[2,0,2],[2,2,2],[0,2,2],[0,4,2],[0,4,4]]; |\\ +\verb|Spaceline("1",pt); |\\ +\verb|Pointdata3d("1",pt,["Size=3"]);| + +\vspace{30mm} +\end{cmd} + +%---------------Translatedata3d----------------------------- +\begin{cmd}{Translatedata3d}{translatedata3d} + +\itemket{Usage}Translatedata3d(name, PD, vector) +\itemket{Description}Generic function to translate plotting data. +%\itemket{Details} +\itemket{Examples} \mbox{} + +The curve sc3d1 is translated by 2 in the y axis direction. +As a result, two curves parallel to the original curves are drawn. + +\verb|Translatedata3d("1",["sc3d1"],[0,2,0]);|\\ + +Since polygons drawn with VertexEdgeFace() can not be translated by this function, parallel movement is performed by directly manipulating the surface data. For example, to draw a regular octahedron using the polyhedron data obj of Kobayashi, Suzuki, and Mitani, do the following. This is the case of parallel movement by 2 in the y axis direction. + +\verb|Setdirectory( Dirhead+"/data/polyhedrons_obj"); |\\ +\verb|phd=Readobj("r02.obj",["size=2"]); |\\ +\verb|Setdirectory(Dirwork); |\\ +\verb|dn=length(phd_1); |\\ +\verb|repeat(dn,s,phd_1_s=phd_1_s+[0,2,0]); |\\ +\verb|VertexEdgeFace("1",phd,["Edg=nogeo"]); |\\ + +\begin{center} +\input{Fig/translate01} +\end{center} + +\end{cmd} +%-------------Translatepoint3d------------------------------- +\begin{cmd}{Translatepoint3d}{translatepoint3d} + +\itemket{Usage}Translatepoint3d(coordinate,vector) +\itemket{Description}Return the translated coordinate for the point. +\itemket{Details}$\text{Translatepoint3d}([a_i],[v_i])=[a_i+v_i]$ +\itemket{Examples} \mbox{} + +\verb|Putpoint3d(["A",[1,0,0]],"fix"); |\\ +\verb|pt=Translatepoint3d(A3d,[-1,1,1]); |\\ +\verb|Putpoint3d(["B",pt],"fix"); | + +\end{cmd} + +%-------------Vertexedgeface------------------------------- +\begin{cmd}{Vertexedgeface}{vertexedgeface} + +\itemket{Usage} VertexEdgeFace(name, list, options) +\itemket{Description}Generic function to draw the polyhedron. +\itemket{Details}We use the faces data of the polyhedron.\\ +The second argument is the list of vertexes list and the faces list.\\ +For example, the faces data of the tetrahedron is [[A,B,C,D],[[1,2,3],[1,2,4],[1,3,4],[2,3,4]]].\\ +Option is the following.\\ +no option: output edges as the geometric elements but don't to \TeX file.\\ +\verb|["Edg=nogeo"]|: output data to \TeX file.\\ +\verb|["Pt=free"]|: Vertexes are free geometric points. +\itemket{Examples} \mbox{} + +\verb| Putpoint3d("A",2*[-1,-1/sqrt(3),0],"fix"); |\\ +\verb| Putpoint3d("B",2*[1,-1/sqrt(3),0],"fix"); |\\ +\verb| Putpoint3d("C",2*[0,sqrt(3)-1/sqrt(3),0],"fix"); |\\ +\verb| Putpoint3d("D",2*[0,0,sqrt(3)],"fix"); |\\ +\verb| phd=Concatobj([[A,B,C],[A,B,D],[A,C,D],[B,C,D]]); |\\ +\verb| VertexEdgeFace("1",phd,["Edg=nogeo"]); |\\ + //Three data lists are made, phv3d1:vertex, phe3d1:edge and phf3d1:face. + \begin{center} \input{Fig/vertex01} \end{center} +\end{cmd} +%-------------Wireparadata------------------------------- +\begin{cmd}{Wireparadata}{wireparadata} + +\itemket{Usage} Wireparadata(name, PD, formula, integer, integer, options) +\itemket{Description}Generic function to draw the surface by wire frame data with performing hidden line processing. +\itemket{Details}The second argument PD is the surface data made by Sfbdparadata function.\\ +options=no option or " "(space) or "r" or "m" and "Wait=integer". Default value of Wait is 30.\\ +No option or " "(space) means\\ +(1) If there exist no deta then it make a new data file.\\ +(2) If there exist deta then it read the data file.\\ +"m" means that it remake the new data file.\\ +"r" means that it reread the existing data file.\\ + +\itemket{Examples} \mbox{} + +\verb|fd=["z=x^2-y^2","x=[-2,2]","y=[-2,2]"]; |\\ +\verb|if(Isangle(), |\\ +\verb| Sf3data("1",fd); |\\ +\verb| , |\\ +\verb| Startsurf(); |\\ +\verb| Sfbdparadata("1",fd); | //We get the data named as "sfbd3d1".\\ +\verb| Wireparadata("1","sfbd3d1",fd,4,5,[""]); | //number of wires are 4 and 5.\\ +\verb| ExeccmdC("1"); | //draw the wires\\ +\verb|); | + +\begin{center} +\input{Fig/wirepara1} +\end{center} + +Change the following code. + +\verb|fd=["z=4-(x^2+y^2)","x=r*cos(t)","y=r*sin(t)","r=[0,2]","t=[0,2*pi]","e"];|\\ +\verb|Wireparadata("1","sfbd3d1",fd,5,7,[""]);| + +\begin{center} +\input{Fig/wirepara2} +\end{center} + +\verb|fd=["p","x=2*sin(u)*cos(v)","y=2*sin(u)*sin(v)","z=2*cos(u)","u=[0,pi]", |\\ +\verb| "v=[0,2*pi]","s"]; |\\ +\verb|Wireparadata("1","sfbd3d1",fd,12,12,[""]); | + +\begin{center} +\input{Fig/wirepara3} +\end{center} + +\begin{layer}{150}{0} +\putnotese{90}{15}{ \input{Fig/wirepara4}} +\end{layer} + +\verb|fd=["p","x=2*sin(u)*cos(v)","y=2*sin(u)*sin(v)","z=2*cos(u)","u=[0,pi]",|\\ +\verb| "v=[0,2*pi]","s"];|\\ +\verb|if(Isangle(),|\\ +\verb| Sf3data("1",fd);|\\ +\verb| ,|\\ +\verb| Startsurf();|\\ +\verb| Sfbdparadata("1",fd);|\\ +\verb| Wireparadata("1","sfbd3d1",fd,12,12,[""]);|\\ +\verb| Crvsfparadata("1","ax3d","sfbd3d1",fd);|\\ +\verb| ret=ExeccmdC("1");|\\ +\verb| forall(1..length(ret),|\\ +\verb| if(indexof(ret_#,"wireh")>0,|\\ +\verb| Changestyle3d([ret_#],["nodisp"]);|\\ +\verb| );|\\ +\verb| );|\\ +\verb|);| + +\vspace{\baselineskip} +\verb|fd=["p","x=(2+cos(u))*cos(v)","y=(2+cos(u))*sin(v)","z=sin(u)",|\\ +\verb| "u=[0,2*pi]","v=[0,2*pi]","s"];|\\ +\verb|Sfbdparadata("1",fd);|\\ +\verb|Wireparadata("1","sfbd3d1",fd,12,12,[""]); | + +\begin{center} \input{Fig/wirepara5} \end{center} + +\end{cmd} +%-------------Xyzax3data------------------------------- +\begin{cmd}{Xyzax3data}{xyzax3data} + +\itemket{Usage} Xyzax3data(name, range of x, range of y, range of z, options) +\itemket{Description}Generic function to draw the coordinate axis. +\itemket{Details}Name can be null string.\\ +Options are the followings.\\ +"an": arrowhead, n is size.\\ +"Onesw": origin and its position. +\itemket{Examples} \mbox{} + +\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]");|\\ +\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]","a");| //arrowhead\\ +\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]",["a2"]);| //big arrowhead\\ +\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]",["O"]);|\\ +\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]",["a","Oe2n2"]);| //set origin upper right + +\end{cmd} +%------------Xyzcoord-------------------------------- +\begin{cmd}{Xyzcoord}{xyzcoord} + +\itemket{Usage}\hspace{10mm} Xyzcoord(P.x, P.y, Pz.y) +\itemket{Description}Generic function to return the 3D-coordinate of the point P. +\itemket{Details}(P.x, P.y) is the coordinate of P in the mainarea and Pz.y is the y-coordinate of P in the subarea. +\itemket{Examples} \mbox{} + +\verb|println(Xyzcoord(A.x,A.y,Az.y));| //print the 3D-coordinate of point A on the console. +\end{cmd} + + +\newpage +%-==Appendix ======================== +\section{Appendix} + +\subsection{Color table} + +\begin{center} +%\scalebox{0.9}{\input{Fig/colortable}} +\input{Fig/colortable} +\end{center} +\newpage + +%-----------Comparative chart of drawing of points--------- +\hypertarget{mkpttable}{} +\subsection{Comparative chart of drawing of points} +\begin{tabbing} +123456789012345\=1234567890\=\kill + \> return \>: use return value\\ + \> draw \>: draw Euclidean view\\ + \> geo \>: make geometric point on Euclidean view\\ + \> Tex \>: output Tex file +\end{tabbing} + +\begin{center} +\input{Fig/mkpttableE} +\end{center} + +\hspace{20mm} $\triangle$ : use PD + +\newpage +%-==Command List ======================== +\hypertarget{functionlist}{} +\section{Command List} +\hyperlink{index}{To index} + +\begin{tabbing} +12345678901234567890\=\kill +{\bf Setting and Defining} \> \\ +\hyperlink{addax}{Addax} \> decide axis are drawn or not.\\ +\hyperlink{addpackage}{Addpackage} \> add packages of \TeX to the main file for previewing.\\ +\hyperlink{assign}{Assign} \> replace the string1 in the string0 with the string2.\\ +\hyperlink{changework}{Changework} \> change the working directory.\\ +\hyperlink{deffun}{Deffun} \> define a function common to both Cindy and R.\\ +\hyperlink{definecolor}{Definecolor} \> define the name of colorcode in the \TeX\ figure.\\ +\hyperlink{defvar}{Defvar} \> define variables common to both Cindy and R.\\ +\hyperlink{drwxy}{Drwxy} \> draw axis in the \TeX\ figure.\\ +\hyperlink{fontsize}{Fontsize} \> define the font size in the \TeX\ figure.\\ +\hyperlink{ketinit}{Ketinit} \> initialize \ketcindy.\\ +\hyperlink{ptsize}{Ptsize} \> set the size of points.\\ +\hyperlink{setax}{Setax} \> set the style of axis.\\ +\hyperlink{setcolor}{Setcolor} \> set the color of figures and characters in the \TeX\ figure.\\ +\hyperlink{setfiles}{Setfiles} \> set the name of texfile.\\ +\hyperlink{setparent}{Setparent} \> set the name of texfile by using the Parent push button.\\ +\hyperlink{setmarklen}{Setmarklen} \> set the length of tickmarks on the axsis.\\ +\hyperlink{setorigin}{Setorigin} \> set or transtate the coordinate of apparent origin.\\ +\hyperlink{setpen}{Setpen} \> set the thickness of lines.\\ +\hyperlink{setpt}{Setpt} \> set the size of points.\\ +\hyperlink{setscaling}{Setscaling} \> set the scale of vertical direction.\\ +\hyperlink{setunitlen}{Setunitlen} \> set the scale of unit length. (default is 1cm)\\ +\hyperlink{setwindow}{Setwindow} \> set a drawing area on a Euclidean view.\\ +\hyperlink{strsplit}{Strsplit} \> return the list of strings separated by a string.\\ +\hyperlink{usegraphics}{Usegraphics} \> change to pict2e.\\ + +{\bf Drawing} \> \\ +\hyperlink{addgraph}{AddGraph} \> manipulate more than one PD all together.\\ +\hyperlink{anglemark}{Anglemark} \> draw an angle mark.\\ +\hyperlink{arrowdata}{Arrowdata} \> draw an arrow line between two points.\\ +\hyperlink{arrowhead}{Arrowhead} \>draw an arrowhead with specified direction at a designated point.\\ +\hyperlink{bezier}{Bezier} \> draw a Bezier curve.\\ +\hyperlink{beziersmooth}{Beziersmooth} \> draw a smooth Bezier curve.\\\hyperlink{beziersym}{Beziersym} \> draw a smooth Bezier curve.\\ +\hyperlink{bowdata}{Bowdata} \> draw the shape of bow connecting two points.\\ +\hyperlink{bspline}{Bspline} \> draw second degree B-spline curve. \\ +\hyperlink{changestyle}{Changestyle} \> change the option for drawing. \\ +\hyperlink{circledata}{Circledata} \> draw a circle or polygon. \\ +\hyperlink{crspline}{CRspline} \> draw single Catmull-Rom spline curve. \\ +\hyperlink{deqplot}{Deqplot} \> draw the solution curve of a differential equation.\\ +\hyperlink{dotfilldata}{Dotfilldata} \> fill a domain with dots.\\ +\hyperlink{drwpt}{Drawppoint} \> draw a point. \\ +\hyperlink{drwpt}{Drwpt} \> draw a point. \\ +\hyperlink{drawsegmark}{Drawsegmark} \> Add a mark to a segment. \\ +\hyperlink{ellipseplot}{Ellipseplot} \> draw ellipse.\\ +\hyperlink{enclosing}{Enclosing} \> make a closed curve form the list of plotting data.\\ +\hyperlink{expr}{Expr} \> write an expression in \TeX style.\\ +\hyperlink{exprrot}{Exprrot} \> write a rotated expression in \TeX style.\\ +\hyperlink{fourierseries}{Fourierseries} \> draw the graph of a fourier series.\\ +\hyperlink{framedata}{Framedata} \> draw a rectangle.\\ +\hyperlink{hatchdata}{Hatchdata} \> draw hatch lines in the close curve.\\ +\hyperlink{htickmark}{Htickmark} \> tick on the horizontal ax.\\ +\hyperlink{hyperbolaplot}{Hyperbolaplot} \> draw a hyperbola.\\ +\hyperlink{implicitplot}{Implicitplot} \> draw the graph of a implicit function.\\ +\hyperlink{invert}{Invert} \> rearrange plotting data in the reverse order.\\ +\hyperlink{joincrvs}{Joincrvs} \> create a plotting data of connecting in list of plotting data.\\ +\hyperlink{letter}{Letter} \> display the string.\\ +\hyperlink{letterrot}{Letterrot} \> rotate a string and display it.\\ +\hyperlink{lineplot}{Lineplot} \> draw the straight line through the two points.\\ +\hyperlink{listplot}{Listplot} \> connect points by line segments.\\ +\hyperlink{mkbeziercrv}{Mkbeziercrv} \> draw some bezier curves.\\ +\hyperlink{mkbezierptcrv}{Mkbezierptcrv} \> draw a bezier curve.\\ +\hyperlink{mkcircles}{Mkcircles} \> create plotting data of all geometric circles.\\ +\hyperlink{mksegments}{Mksegments} \> create plotting data of all geometric segments.\\ +\hyperlink{ospline}{Ospline} \> draw a spline curve of Oshima.\\ +\hyperlink{ovaldata}{Ovaldata} \> draw a rectangle with rounded corners.\\ +\hyperlink{parabolaplot}{Parabolaplot} \> draws a parabola.\\ +\hyperlink{paramark}{Paramark} \> draw an angle mark with a parallelogram.\\ +\hyperlink{paramplot}{Paramplot} \> draw a curve of parametric representation.\\ +\hyperlink{polarplot}{Polarplot}\> draw a curve of polar equation.\\ +\hyperlink{partcrv}{Partcrv} \> make a piece of curve from the PD.\\ +\hyperlink{periodfun}{Periodfun} \> draw the graph of a periodic function.\\ +\hyperlink{plotdata}{Plotdata} \> draw the graph of function.\\ +\hyperlink{pointdata}{Pointdata} \> make a point data.\\ +\hyperlink{polygonplot}{Polygonplot} \> draw a polygon inscribed inside the circle.\\ +\hyperlink{putintersect}{Putintersect} \> make a intersection point of two curves.\\ +\hyperlink{putoncurve}{PutonCurve} \> put a point on the curve.\\ +\hyperlink{putonline}{PutonLine} \> put a point on the line.\\ +\hyperlink{putonSeg}{Putonseg} \> put a point on the segment.\\ +\hyperlink{putpoint}{Putpoint} \> put a point.\\ +\hyperlink{reflectdata}{Reflectdata} \> draw a reflective curve.\\ +\hyperlink{reflectpoint}{Reflectpoint} \> return the reflect point.\\ +\hyperlink{rotatedata}{Rotatedata} \> rotate plotting data.\\ +\hyperlink{rotatepoint}{Rotatepoint} \> rotate a point.\\ +\hyperlink{rulerscale}{Rulerscale} \> put ruler marks.\\ +\hyperlink{scaledata}{Scaledata} \> scale plotting data.\\ +\hyperlink{scalepoint}{Scalepoint} \> scale a point.\\ +\hyperlink{segmark}{Segmark} \> add a mark to a segment.\\ +\hyperlink{shade}{Shade} \> fill a domain surrounded by a closed curve.\\ +\hyperlink{tangentplot}{Tangentplot} \> draw a tangent line of a plotting data.\\ +\hyperlink{translatedata}{Translatedata} \> translate plotting data.\\ +\hyperlink{translatepoint}{Transelatepoint} \> translate a point.\\ +\hyperlink{vtickmark}{Vtickmark} \> tick on the vertical ax.\\ + +{\bf Calculus and I/O} \> \\ +\hyperlink{crossprod}{Crossprod} \> return the cross product of 2 vectors.\\ +\hyperlink{derivative}{Derivative} \> find the derivative of a function or a plotting data.\\ +\hyperlink{dotprod}{Dotprod} \> return the dot product of 2 vectors.\\ +\hyperlink{extractdata}{Extractdata} \> add properties to a data.\\ +\hyperlink{findarea}{Findarea} \> return the area enclosed with a close curve.\\ +\hyperlink{findlength}{Findlength} \> return the length of a curve.\\ +\hyperlink{integrate}{Integrate} \> find the value of numerical integration.\\ +\hyperlink{intersectcurves}{Intersectcurves} \> return a list of intersects of 2 plotting data.\\ +\hyperlink{intersectcurvesPp}{IntersectcurvesPp} \> return a list of intersects with parameters of 2 plotting data.\\ +\hyperlink{inversefun}{Inversefun} \> find the value of the inversefunction.\\ +\hyperlink{nearestpt}{Nearestpt} \> return the nearest point with the parameter and the distance.\\ +\hyperlink{nearestptcrv}{Nearestptcrv} \> return the nearest point on the plotting data from the point1.\\ +\hyperlink{numptcrv}{Numptcrv} \> return the number of plotting data.\\ +\hyperlink{paramoncurve}{Paramoncurve} \> return the parameter value of the point on the curve.\\ +\hyperlink{pointoncurve}{Pointoncurve} \> point which has the parameter value\\ +\hyperlink{ptstart, ptend}{Ptstart, Ptend} \> returns start point and end point of PD.\\ +\hyperlink{ptcrv}{Ptcrv} \> Returns n-th point from PD.\\ +\hyperlink{readoutdata}{ReadOutData} \> read external data.\\ +\hyperlink{writeoutdata}{WriteOutData} \> write out data in \ketcindy\ format.\\ + +{\bf Making Table} \> \\ +\hyperlink{changetablestyle}{Changetablestyle} \> change line styles of rules.\\ +\hyperlink{findcell}{Findcell} \> return the information of a cell.\\ +\hyperlink{putcell}{Putcell} \> put a string at the cell.\\ +\hyperlink{putcoL}{PutcoL} \> put strings to a column.\\ +\hyperlink{putcoLexpr}{PutcoLexpr} \> put strings to a column.\\ +\hyperlink{putrow}{Putrow} \> put strings to a row.\\ +\hyperlink{putrowexpr}{Putrowexpr} \> put strings to a row.\\ +\hyperlink{tabledata}{Tabledata} \> draw rules of a table.\\ +\hyperlink{tabledatalight}{Tabledatalight} \> make a table without geometric points.\\ +\hyperlink{tgrid}{Tgrid} \> return the coordinates of the grid name.\\ +\hyperlink{tlistplot}{Tlistplot} \> connect two lattice points by line segments.\\ + +{\bf Data Processing}\\ +\hyperlink{dispmat}{Dispmat} \> display the list in the console matrix.\\ +\hyperlink{tab2list}{Tab2list} \> convert contents of string data to list.\\ +\hyperlink{writecsv}{Writecsv} \> make a CSV file consisting of the contents of data.\\ + +{\bf Others} \> \\ +\hyperlink{assign}{Assign} \> replace the string1 in the string0 with the string2.\\ +\hyperlink{bbdata}{BBdata} \> return the size of an image file.\\ +\hyperlink{cindyname}{Cindyname} \> return the name of a current file.\\ +\hyperlink{colorcode}{Colorcode} \> change colorcode from colortype1 to colortype2.\\ +\hyperlink{dqq}{Dqq} \> return the string surrounded by double quotes.\\ +\hyperlink{factorial}{Factorial} \> return the factorial.\\ +\hyperlink{figpdf}{Figpdf} \> make a pdf file with the same size of figure.\\ +\hyperlink{help}{Help} \> display usages of the function.\\ +\hyperlink{indexall}{Indexall} \>return all positions of string2 in string1.\\ +\hyperlink{norml}{Norm} \> return the norm of a vector.\\ +\hyperlink{opl}{Op} \> return the n-th element of a list or a string.\\ +\hyperlink{ptselected}{Ptselected} \> tests whether the point is selected.\\ +\hyperlink{slider}{Slider} \> make a slider on a Euclidean view.\\ +\hyperlink{sprintf}{Sprintf} \> converts a real number to a string.\\ +\hyperlink{texcom}{Texcom} \> add the command in the \TeX file.\\ +\hyperlink{textformat}{Textformat} \> converts a real number to a string.\\ +\hyperlink{toupper}{Toupper} \> return the upper case letters of a string.\\ +\hyperlink{windispg}{Windispg} \> display all graphs on Euclidean view.\\ + +{\bf R} \> \\ +\hyperlink{boxplot}{Boxplot} \> draw boxplots.\\ +\hyperlink{calcbyr}{CalcbyR} \> executes R commands and returns the execution result to Cinderella.\\ +\hyperlink{histplot}{Histplot} \> create histograms.\\ +\hyperlink{plotdatar}{PlotdataR} \>draw graph of R's statistical probability function.\\ +\hyperlink{rfun}{Rfun} \>execute a R command.\\ + +{\bf Maxima} \> \\ +\hyperlink{calcbym}{CalcbyM} \> execute Maxima's script. \\ +\hyperlink{mxbatch}{Mxbatch} \> make a command to execute the Maxima file. \\ +\hyperlink{mxfun}{Mxfun} \> execute Maxima's function. \\ +\hyperlink{mxtex}{Mxtex} \> convert expression to TeX format. \\ + +{\bf Risa/Asir} \> \\ +\hyperlink{calcbya}{CalcbyA} \> execute Risa/Asir's script. \\ +\hyperlink{asirfun}{Asirfun} \> execute Risa/Asir's function. \\ + +{\bf MeshLab} \> \\ +\hyperlink{mkobjcmd}{Mkobjcmd} \> obj formatted files of surfaces without thickness.\\ +\hyperlink{mkobjcrvcmd}{Mkobjcrvcmd} \> obj formatted files of spatial curves.\\ +\hyperlink{mkobjnrm}{Mkobjnrm} \> calculate normal vector of surface.\\ +\hyperlink{mkobjplatecmd}{Mkobjplatecmd} \> obj formatted files of plates.\\ +\hyperlink{mkobjpolycmd}{Mkobjpolycmd} \> obj formatted files of polyhedra.\\ +\hyperlink{mkobjsymbcmd}{Mkobjsymbcmd} \> generate commands for obj formatted files of some characters.\\ +\hyperlink{mkobjthickcmd}{Mkobjthickcmd} \> generate commands for obj formatted files of surfaces with thickness.\\ +\hyperlink{mkviewobj}{Mkviewobj} \> generate obj formatted files.\\ +{\bf Animation} \> \\ +\hyperlink{setpara}{Setpara} \> set up the animation control system.\\ + +{\bf \ketcindy\ Slide} \> \\ +\hyperlink{setslidebody}{Setslidebody} \> set up the color and density of the letters in slide body.\\ +\hyperlink{setslidehyper}{Setslidehyper} \> use \verb|hyperref.sty|.\\ +\hyperlink{setslidemain}{Setslidemain} \> set up the main slide.\\ +\hyperlink{setslidepage}{Setslidepage} \> set up each page of slides.\\ +\hyperlink{setslidemargin}{Setslidemargin} \> change the margin of slides.\\ +\hyperlink{settitle}{Settitle} \> make a title slide.\\ + +{\bf \ketcindy 3D} \> \\ +\hyperlink{bezier3d}{Bezier3d} \> draw a Cubic Bézier curve.\\ +\hyperlink{changestyle3d}{Changestyle3d} \> change the attribute of PD.\\ +\hyperlink{concatobj}{Concatobj} \> concatenates several objects.\\ +\hyperlink{crvsfparadata}{Crvsfparadata} \> remove curves hidden by curved face.\\ +\hyperlink{datalist2d}{Datalist2d} \> get a list of 2D-plotting data on the screen.\\ +\hyperlink{datalist3d}{Datalist3d} \> get a list of 3D-plotting data.\\ +\hyperlink{dist3d}{Dist3d} \> get the 3D-distance of two points.\\ +\hyperlink{drawpoint3d}{Drawpoint3d} \> draw 3D-points.\\ +\hyperlink{embed}{Embed} \> embed plotting data of 2D in plane of 3D.\\ +\hyperlink{execcmdc}{ExeccmdC} \> draw 3D-surface.\\ +\hyperlink{intersectcrvsf}{Intersectcrvsf} \> return a list of intersects of a curve and curved face.\\ +\hyperlink{intersectsgpL}{IntersectsgpL} \>return a intersection of a line segment and plane.\\ +\hyperlink{invparapt}{Invparapt} \> return the point on the curve.\\ +\hyperlink{ketinit3d}{Ketinit3d} \> declare the use of KeTCindy3D\\ +\hyperlink{mkbezierptcrv3d}{Mkbezierptcrv3d} \> draw a cubic Bezier curve from nodes.\\ +\hyperlink{nohiddenbyfaces}{Nohiddenbyfaces} \> draw hidden lines by the surfaces.\\ +\hyperlink{parapt}{Parapt} \> return the 2D-coodinate on the plane.\\ +\hyperlink{partcrv3d}{Partcrv3d} \> draw the part curve of the curve PD.\\ +\hyperlink{perpplane}{Perpplane} \> return the two points which is passing through the point and\\ +\>orthogonal to the vector.\\ +\hyperlink{perppt}{Perppt} \> get the foot of a perpendicular for the plane from the point.\\ +\hyperlink{phparadata}{Phparadata} \> draw the polyhedron by performing hidden line processing.\\ +\hyperlink{pointdata3d}{Pointdata3d} \> generate data of point list.\\ +\hyperlink{projcoordpara}{Projcoordpara} \> get the projection coordinate.\\ +\hyperlink{putaxes3d}{Putaxes3d} \> make the geometric points on the coordinate axis. \\ +\hyperlink{putonCurve3d}{PutonCurve3d} \> make the geometric point on the 3D-curve.\\ +\hyperlink{putonseg3d}{Putonseg3d} \> make the geometric point on the 3D-segment.\\ +\hyperlink{putpoint3d}{Putpoint3d} \> draw the geometric point in the space.\\ +\hyperlink{readobj}{Readobj} \> read in the polyhedron data in the folder name \verb|polyhedrons_obj|\\ +\hyperlink{reflectdata3d}{Reflectdata3d} \> draw the reflection of plotting data.\\ +\hyperlink{reflectpoint3d}{Reflectpoint3d} \> return the coordinate of the reflect point.\\ +\hyperlink{rotatedata3d}{Rotatedata3d} \> rotate plotting data around the vector\\ +\hyperlink{rotatepoint3d}{Rotatepoint3d} \> return the coordinate of the rotate point.\\ +\hyperlink{scaledata3d}{Scaledata3d} \>scale plotting data \\ +\hyperlink{scalepoint3d}{Scalepoint3d} \> execute scale transformation for the coordinate of the point.\\ +\hyperlink{sf3data}{Sf3data} \> draw the wire frame model of the surface.\\ +\hyperlink{sfbdparadata}{Sfbdparadata} \> draw the surface by performing hidden line processing.\\ +\hyperlink{skeletonparadata}{Skeletonparadata} \> draw the lines by performing hidden line processing.\\ +\hyperlink{spacecurve}{Spacecurve} \> draw the space curve.\\ +\hyperlink{spaceline}{Spaceline} \> draw the space polygonal lines.\\ +\hyperlink{start3d}{Start3d} \> creates subarea, and recognize 3D points.\\ +\hyperlink{startsurf}{Startsurf} \> defines values related to surface rendering.\\ +\hyperlink{translatedata3d}{Translatedata3d} \> translate plotting data\\ +\hyperlink{translatepoint3d}{Translatepoint3d} \> return the translated coordinate for the point.\\\hyperlink{vertexedgeface}{Vertexedgeface} \> draw the polyhedron.\\ +\hyperlink{wireparadata}{Wireparadata} \> draw the surface by wire frame data with performing hidden line processing.\\ +\hyperlink{xyzax3data}{Xyzax3data} \> draw the coordinate axis.\\ +\hyperlink{xyzcoord}{Xyzcoord} \> return the 3D-coordinate of the point P.\\ + +\end{tabbing} + +\end{document} diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceJ.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceJ.tex index 58a7dfdd22e..937c5a10cc1 100644 --- a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceJ.tex +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceJ.tex @@ -7,4210 +7,5234 @@ \usepackage[dvipdfmx,bookmarks=false,colorlinks=true,linkcolor=blue]{hyperref} \setmargin{20}{20}{15}{25} \usepackage{setspace} - +\usepackage{comment} +\setcounter{tocdepth}{3} \begin{document} -\title{\ketcindy リファレンスマニュアル} +\title{\ketcindy 関数リファレンス} \author{\ketcindy\ Project Team} \maketitle +\begin{center} - 第3.2版 -\end{center} +\hypertarget{index}{} \tableofcontents \newpage +\section{å¹³é¢ã®å›³å½¢ã¨ã‚°ãƒ©ãƒ•} -\section{\ketcindy ã«ã¤ã„ã¦} -\subsection{システムã®æ§‹æˆ} -\ketcindy ã¯ï¼ŒCinderella ã§ã®ä½œå›³ãƒ‡ãƒ¼ã‚¿ã‚’Scilab版 \ketpic ã«æ¸¡ã—，\LaTeX ファイルを作æˆã™ã‚‹ãŸã‚ã®ã‚¹ã‚¯ãƒªãƒ—トライブラリã§ã‚る。Cinderella ã«ã‚ˆã‚‹ã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ãªä½œå›³æ©Ÿèƒ½ã¨ï¼ŒCindyScript ã«ã‚ˆã‚‹ãƒ—ãƒã‚°ãƒ©ãƒŸãƒ³ã‚°ã«ã‚ˆã‚Šï¼Œ\LaTeX 文書ã®æŒ¿å…¥å›³ã‚’効率よã作æˆã™ã‚‹ã“ã¨ãŒã§ãる。ã¾ãŸï¼ŒR,Maxima,Risa/Asirãªã©ã®æ•°å¼å‡¦ç†ã‚½ãƒ•ãƒˆã¨é€£æºã—ã¦è¨ˆç®—ã‚’è¡Œã†ã“ã¨ãŒã§ãる。 +%è¨å®šãƒ»å®šç¾© ================================== -\input{Fig/concept} +\subsection{è¨å®šãƒ»å®šç¾©} -　Cinderellaã§ä½œå›³ã—ãŸå›³ã®ãƒ‡ãƒ¼ã‚¿ã¯ï¼ŒScilabã®ãƒ•ã‚¡ã‚¤ãƒ«ï¼ˆæ‹¡å¼µå sci）ã«æ›¸ã出ã•ã‚Œã‚‹ã€‚ã“れをScilabã§å‡¦ç†ã—ã¦\TeX ファイルを作æˆã™ã‚‹ï¼ˆ Scilab版 \ketpic）。ã§ããŸ\TeX ファイルを，本文ä¸ã« inputコマンド ã§æŒ¿å…¥ã™ã‚Œã°å›³ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -　Cinderellaã¨Scilabã‚„ãã®ä»–ã®ã‚½ãƒ•ãƒˆã‚¦ã‚§ã‚¢ã¨ã®é€£æºã«ã¯ï¼Œãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ«ï¼ˆMacã§ã¯ã‚·ã‚§ãƒ«ãƒ•ã‚¡ã‚¤ãƒ«ï¼‰ã‚’用ã„ã¦ã„る。(概念図ã®ä¸¡æ–¹å‘矢å°)　ãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ«ã¯ kc.bat，シェルファイル㯠kc.sh ã§ï¼ŒKeTCindy ãŒç›®çš„ã«å¿œã˜ã¦ã“れらã®ãƒ•ã‚¡ã‚¤ãƒ«ã‚’書ã出ã—，プラグイン KetCindyPlugin.jar ã§ãれらを実行ã™ã‚‹æ‰‹é †ã«ãªã£ã¦ã„る。\\ -　\\ -\subsection{Cindyscriptã®ã‚¹ãƒãƒƒãƒˆã®æ¦‚念} -Cindyscriptã¯Cinderellaã®ãƒ—ãƒã‚°ãƒ©ãƒŸãƒ³ã‚°è¨€èªžã§ï¼Œã‚¹ã‚¯ãƒªãƒ—トエディタã§è¨˜è¿°ã™ã‚‹ã€‚スクリプトエディタã¯ï¼Œã€Œã‚¹ã‚¯ãƒªãƒ—トã€ãƒ¡ãƒ‹ãƒ¥ãƒ¼ã®ã€ŒCindyscriptã€ã‚’é¸æŠžã—ã¦é–‹ãã‹ï¼ŒCtrl+9 (Windows) / ⌘＋9 (Mac) ã§é–‹ã。\\ -　スクリプトエディタã®å·¦æ–¹ã«ä¸¦ã‚“ã§ã„るフォルダアイコンã®ãƒ¡ãƒ‹ãƒ¥ãƒ¼é¢¨ã®ã‚‚ã®ã‚’「スãƒãƒƒãƒˆã€ã¨ã„ã„，Cindyscriptã®å®Ÿè¡Œã‚¿ã‚¤ãƒŸãƒ³ã‚°ã«ã‚ˆã‚Šã‚¹ã‚¯ãƒªãƒ—トを書ã分ã‘ã‚‹ã“ã¨ãŒã§ãる。通常㯠Initialzation スãƒãƒƒãƒˆã¨ Draw スãƒãƒƒãƒˆã‚’使ã†ã€‚\\ -　Initialzation スãƒãƒƒãƒˆã¯ï¼Œã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹ã¨æœ€åˆã«ä¸€åº¦ã ã‘実行ã•ã‚Œã‚‹ã€‚従ã£ã¦ï¼Œé–¢æ•°å®šç¾©ã‚„変数ã®åˆæœŸè¨å®šãªã©ã‚’書ã。ã²ãªå½¢ã‚„サンプル㮠cdy ファイルã§ã¯ã“ã“ã« KETlib ã¨ã„ã†ãƒšãƒ¼ã‚¸ãŒã‚り，パスåã®è¨å®šã‚„ライブラリã®èªã¿è¾¼ã¿ãªã©ï¼ŒKeTCindyã®åˆæœŸè¨å®šã«é–¢ã™ã‚‹è¨˜è¿°ãŒã‚る。\\ -　Draw スãƒãƒƒãƒˆã¯ï¼ŒCinderellaã®ç”»é¢ä¸Šã§ãªã«ã‹æ“作ãŒè¡Œã‚れるãŸã³ã«å®Ÿè¡Œã•ã‚Œã‚‹ã€‚通常ã¯ã“ã“ã«ã‚¹ã‚¯ãƒªãƒ—トを書ã。ã²ãªå½¢ã®cdyファイルã§ã¯ï¼ŒKetinit() ãªã©ãŒè¨˜è¿°ã•ã‚ŒãŸ figures ページãŒç”¨æ„ã•ã‚Œã¦ã„る。\\ -　\\ -　　　　\includegraphics[bb=0 0 1076 392 , width=10cm]{Fig/slot.png}\\ -　\\ -　１ã¤ã®ã‚¹ãƒãƒƒãƒˆã«è¤‡æ•°ã®ãƒšãƒ¼ã‚¸ã‚’作るã“ã¨ãŒã§ãる。KETlib以外ã«åˆæœŸè¨å®šã®ã‚¹ã‚¯ãƒªãƒ—トを書ãå ´åˆã¯ï¼ŒInitialzation スãƒãƒƒãƒˆã«æ–°ã—ã„ページを作るã®ãŒã‚ˆã„。\\ +\subsubsection{環境è¨å®š} +\begin{description} -\subsection{プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿} -プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿(Plot Data) ã¨ã¯ï¼Œé–¢æ•°ã®ã‚°ãƒ©ãƒ•ã‚„幾何è¦ç´ ã‚’æãデータã®ã“ã¨ã§ã‚り，KeTCindyã®å‡¦ç†ã®ä¸æ ¸ã‚’ãªã—ã¦ã„る。本マニュアルã§ã¯ PD ã¨ç•¥ã™ã“ã¨ãŒã‚る。ãŸã¨ãˆã°æ›²ç·šã¯ï¼Œæ画範囲を分割ã—ã¦ç·šåˆ†ã®é›†ã¾ã‚Šã¨ã—ã¦æç”»ã—ã¦ãŠã‚Šï¼Œã“ã®ã¨ãã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ãれらã®ç·šåˆ†ã®ç«¯ç‚¹ã®ãƒªã‚¹ãƒˆã§ã‚る。\\ -　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å称ã¯KeTCindyãŒè‡ªå‹•çš„ã«å‘½åã™ã‚‹ã€‚ãã®å‘½åè¦å‰‡ã¯æ¬¡ã®é€šã‚Šã§ã‚る。\\ -\\ -・å称ã®é 部ã¯ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’作æˆã™ã‚‹é–¢æ•°ã”ã¨ã«æ±ºã¾ã£ã¦ã„る。\\ -・第１引数㫠name ãŒä¸Žãˆã‚‰ã‚Œã‚‹å ´åˆï¼Œname ã‚’é 部ã«ä»˜åŠ ã™ã‚‹ã€‚\\ -　　　例：\verb|Listplot("1",[[0,0],[1,2]]);|　ã®ã¨ã，sg1\\ -・関数ã«ã‚ˆã£ã¦ã¯ï¼Œç¬¬ï¼‘引数㮠name ã‚’ç•¥ã™ã“ã¨ãŒã§ãる。ã“ã®å ´åˆï¼Œå¼•æ•°ã§ç”¨ã„られãŸç‚¹ã®åå‰ã‚’é 部ã«ä»˜åŠ ã™ã‚‹ã€‚\\ -　　　例：\verb|Listplot([A,B,C]);|　　　　ã®ã¨ã，sgABC\\ -　\\ -　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’生æˆã—ãŸã¨ãã¯ï¼ŒCindyscriptエディタã®ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ãã®å称を表示ã™ã‚‹ã€‚上ã®ä¾‹ã§ã¯ï¼Œ\\ -　　　　\verb|generate Listplot sgABC|\\ -ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’æ“作ã™ã‚‹é–¢æ•°ã§ã¯ï¼Œã“ã®PDã®å称を用ã„る。\\ -　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å†…容を知りãŸã„å ´åˆã¯ï¼ŒCindyscriptã®\\ -　　　　println(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿å)\\ -ã§ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã™ã‚‹ã“ã¨ãŒã§ãる。\\ -　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ï¼ŒCindyscriptã«ã‚ˆã‚‹ãƒ—ãƒã‚°ãƒ©ãƒ ã§ä½œæˆã—ã¦ãれをKeTCindyã§åˆ©ç”¨ã™ã‚‹ã“ã¨ã‚‚ã§ãる。Listplot()ã®ä¾‹ã‚’å‚ç…§ã®ã“ã¨ã€‚ãŸã ã—，è¦ç´ ã®æ•°ãŒå¤§ãã„ã¨Scilabã§ã‚¨ãƒ©ãƒ¼ã¨ãªã‚‹ã®ã§ï¼Œï¼‘ã¤ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®è¦ç´ ã¯200程度ã¨ã™ã‚‹ã®ãŒã‚ˆã„。ã“れより多ã„å ´åˆã¯åˆ†å‰²ã™ã‚‹ã€‚\\ +\vspace{\baselineskip} +\hypertarget{ketinit}{} +\item[関数] Ketinit(options) +\item[機能] \ketcindy ã‚’åˆæœŸåŒ–ã™ã‚‹ã€‚å¹³é¢å›³å½¢ã§ã¯Drawスãƒãƒƒãƒˆã«ï¼Œç©ºé–“図形ã§ã¯Initialization スãƒãƒƒãƒˆã®å†’é ã«è¨˜è¿°ã™ã‚‹å¿…è¦ãŒã‚る。 +\item[説明] option 作æ¥ã‚µãƒ–フォルダ，縦方å‘ã®å€çŽ‡ã¨æç”»é ˜åŸŸã‚’è¨å®šã™ã‚‹ã€‚\\ +\phantom{option }通常ã¯ä¸è¦ã§ï¼Œ\verb|Ketinit()| ã ã‘ã§ã‚ˆã„。\\ -\subsection{Cinderellaã®ä½œå›³ãƒ„ール} - 　\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/move.png}　　動ã‹ã™ãƒ¢ãƒ¼ãƒ‰ï¼ˆé¸æŠžãƒ¢ãƒ¼ãƒ‰ï¼‰ã«ã™ã‚‹ï¼šæ¨™æº–状態\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/single-add.png}ã€€ã€€ç‚¹ã‚’åŠ ãˆã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-line.png}ã€€ã€€ç›´ç·šã‚’åŠ ãˆã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/segment.png}ã€€ã€€ç·šåˆ†ã‚’åŠ ãˆã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/middle.png}　　ä¸ç‚¹ã‚’åŠ ãˆã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/intersection.png}ã€€ã€€äº¤ç‚¹ã‚’åŠ ãˆã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-parallel.png}ã€€ã€€å¹³è¡Œç·šã‚’åŠ ãˆã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-perp.png}ã€€ã€€åž‚ç·šã‚’åŠ ãˆã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/bisector.png}　　角ã®äºŒç‰åˆ†ç·šã‚’åŠ ãˆã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-circle.png}ã€€ã€€å††ã‚’åŠ ãˆã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/circle-by-radius.png}　　åŠå¾„ã¤ãå††ã‚’åŠ ãˆã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/ellipse-by-foci.png}　　焦点ã¨é€šã‚‹ç‚¹ã§æ±ºã¾ã‚‹æ¥•å††\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/hyperbola-by-foci.png}　　焦点ã¨é€šã‚‹ç‚¹ã§æ±ºã¾ã‚‹åŒæ›²ç·š\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/parabola-by-foci.png}　　焦点ã¨æº–ç·šã§æ±ºã¾ã‚‹æ”¾ç‰©ç·š\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/polygon.png}ã€€ã€€å¤šè§’å½¢ã‚’åŠ ãˆã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/angle-mark.png}　　角ã«å°ã‚’ã¤ã‘ã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/angle.png}　　角度を測る\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/delete.png}　　é¸æŠžã—ãŸè¦ç´ を消去ã™ã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/select-points.png}　　点をã¾ã¨ã‚ã¦é¸æŠžã™ã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/select-lines.png}　　線分をã¾ã¨ã‚ã¦é¸æŠžã™ã‚‹\\ -　\\ -è¨å®šãƒ¡ãƒ‹ãƒ¥ãƒ¼ã‹ã‚‰ã€Œä¸Šã®ãƒ„ールãƒãƒ¼ã®ã‚«ã‚¹ã‚¿ãƒžã‚¤ã‚ºã€ã‚’é¸ã³ï¼Œã€Œã™ã¹ã¦è¡¨ç¤ºã€ã«ã™ã‚‹ã¨ç¾ã‚Œã‚‹ãƒ„ール\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/mirror.png}　　é¡æ˜ \\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/polar-of-point.png}　　点ã®æ¥µç·šã‚’æã\\ -　\\ -ç”»é¢ãƒ„ール（下ã®ãƒ„ールãƒãƒ¼ï¼‰\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/translate-view.png}　　原点を移動ã™ã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/zoom-in.png}ã€€ã€€çŸ©å½¢é ˜åŸŸã‚’ç”»é¢ã‚µã‚¤ã‚ºã«æ‹¡å¤§\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/zoom-out.png}　　画é¢ã‚’çŸ©å½¢é ˜åŸŸã‚µã‚¤ã‚ºã«ç¸®å°\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/snap.png}　　軸ã¨æ–¹çœ¼ã‚’表示ã—æ ¼å点ã«ã‚¹ãƒŠãƒƒãƒ—ã™ã‚‹\\ +ã€ä¾‹ã€‘ -\subsection{用語解説} -インシデント\\ -　点ãŒæ›²ç·šä¸Šã«ä¹—ã£ã¦ã„る状態を表ã™ã€‚\\ -インスペクタ\\ -　幾何è¦ç´ ã®å±žæ€§ãªã©ã‚’管ç†ã™ã‚‹ã‚¦ã‚£ãƒ³ãƒ‰ã‚¦ã€‚\\ -幾何è¦ç´ 　　\\ -　Cinderellaã®ä½œå›³ãƒ„ールã§ä½œå›³ã—ãŸç‚¹ã‚„ç›´ç·šãªã©ã®è¦ç´ \\ -幾何点　\\ -　幾何è¦ç´ ã¨ã—ã¦ã®ç‚¹ã€‚マウスドラッグã§å‹•ã‹ã™ã“ã¨ãŒã§ãる。\\ -固定点\\ -　マウスドラッグã§ç§»å‹•ã™ã‚‹ã“ã¨ã®ã§ããªã„点\\ -コンソール\\ -　スクリプトエディタã®å³ä¸‹ã®ã‚¨ãƒªã‚¢ã€‚\\ -自由点\\ -　マウスドラッグã§ä»»æ„ã«å‹•ã‹ã™ã“ã¨ã®ã§ãる点。\\ -スãƒãƒƒãƒˆã€€ã€€\\ -　Cindyscriptã§ï¼Œã‚¹ã‚¯ãƒªãƒ—トを書ãã¨ã，実行タイミングã«ã‚ˆã‚Šã«åˆ†é¡žã™ã‚‹ã‚‚ã®\\ -スナップ　\\ -　マウスãƒã‚¤ãƒ³ãƒˆãŒæ ¼å点ã®è¿‘ãã«æ¥ã‚‹ã¨æ ¼å点上ã«ã´ã£ãŸã‚Šç§»å‹•ã™ã‚‹ã€‚\\ -　Cinderellaã®ç”»é¢ã®ä¸‹æ–¹ãƒ„ールã®ã†ã¡ï¼Œç£çŸ³ã‚¢ã‚¤ã‚³ãƒ³ã«ã‚ˆã‚Šã“ã®ãƒ¢ãƒ¼ãƒ‰ã«ãªã‚‹ã€‚\\ +\verb|Ketinit()| ：サブフォルダ\verb|"fig"|，å€çŽ‡ï¼‘，æç”»é ˜åŸŸ $-5 \leq x \leq 5 , -5 \leq y \leq 5$ -\newpage -%======================= -\section{定数ã¨å¤‰æ•°} -KeTCindy 㯠Cindyscript ã§è¨˜è¿°ã•ã‚Œã¦ã„る。CindyScriptã§ã¯ï¼Œå¤‰æ•°åã¯å¤§æ–‡å—ã¨å°æ–‡å—を区別ã™ã‚‹ãŒï¼Œé–¢æ•°åã¯å¤§æ–‡å—å°æ–‡å—を区別ã—ãªã„。Cindyscriptã®ãƒžãƒ‹ãƒ¥ã‚¢ãƒ«ã§ã¯çµ„ã¿è¾¼ã¿é–¢æ•°åã¯ã™ã¹ã¦å°æ–‡å—ã§è¡¨è¨˜ã•ã‚Œã¦ã„る。例示ã•ã‚ŒãŸã‚¹ã‚¯ãƒªãƒ—トã§ã¯ï¼Œå¤‰æ•°ã‚‚å°æ–‡å—ã§ã‚る。ãã“ã§ï¼ŒKeTCindyã§ã¯ï¼Œçµ„ã¿è¾¼ã¿ã®å¤‰æ•°å・関数åã¨åŒºåˆ¥ã—ã‚„ã™ã„よã†ã«ï¼Œæ¬¡ã®è¦å‰‡ã«ã‚ˆã‚Šåå‰ã‚’付ã‘ã¦ã„る。\\ -　\\ -　・グãƒãƒ¼ãƒãƒ«ãªå¤‰æ•°ã¯ã™ã¹ã¦å¤§æ–‡å—ã‹ï¼Œå¤§æ–‡å—ã§å§‹ã¾ã‚‹ã‚‚ã®ã¨ã™ã‚‹ã€‚\\ -　・局所変数ã¯å°æ–‡å—ã§ï¼Œé–¢æ•°å®šç¾©ã®å†’é 㧠regional() ã«ã‚ˆã‚Šå±€æ‰€å¤‰æ•°ã¨ã—ã¦å®£è¨€ã™ã‚‹ã€‚\\ -　・関数åã¯å¤§æ–‡å—ã§å§‹ã¾ã‚‹ã€‚\\ -　\\ -　ãªãŠï¼ŒCindyScriptã¯é–¢æ•°åž‹ãƒ—ãƒã‚°ãƒ©ãƒŸãƒ³ã‚°è¨€èªžã§ã‚り，命令ã¯ã™ã¹ã¦é–¢æ•°ã‚’用ã„ã¦è¡Œã‚れるãŒï¼Œæœ¬ãƒžãƒ‹ãƒ¥ã‚¢ãƒ«ã§ã¯ï¼Œæ–‡è„ˆã«ã‚ˆã‚Šã€Œã‚³ãƒžãƒ³ãƒ‰ã€ã¨ã„ã†è¡¨ç¾ã‚‚用ã„る。\\ -　\\ -{\bf 定数} \\ -　ã¤ãŽã®ã‚‚ã®ãŒCindyScriptã«äºˆç´„ã•ã‚Œã¦ãŠã‚Šï¼Œå°æ–‡å—ã§è¡¨ã•ã‚Œã¦ã„る。\\ +\verb|Ketinit("")| ： サブフォルダã¯cindyファイルã¨åŒã˜ -\begin{tabbing} -12345678\=\kill -　　pi　 \>：円周率。Scilabã«ã¯ \% pi ã§æ›¸ã出ã•ã‚Œã‚‹ã€‚\\ -　　i　　\> ：虚数å˜ä½ã€‚Scilabã«ã¯ \% i ã§æ›¸ã出ã•ã‚Œã‚‹ã€‚\\ -\end{tabbing} -　一般ã®ãƒ—ãƒã‚°ãƒ©ãƒŸãƒ³ã‚°ã§ã¯å¤‰æ•° i をループ変数ã¨ã—ã¦ã‚ˆã使ã†ãŒï¼ŒCindyScript ã§ã¯ i ã¯äºˆç´„定数ã¨è€ƒãˆï¼Œå¤‰æ•°ã¨ã—ã¦ç”¨ã„ãªã„ã“ã¨ã‚’勧ã‚る。ãŸã ã—，変数ã¨ã—ã¦ã¾ã£ãŸã使ãˆãªã„ã‚ã‘ã§ã¯ãªã，変数ã¨ã—ã¦ç”¨ã„ãŸå¾Œï¼Œå¿…è¦ãŒã‚ã‚Œã°ã€€\verb|i=complex([0,1])|　 を実行ã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šè™šæ•°å˜ä½ã¨ã—ã¦å†å®šç¾©ã™ã‚‹ã“ã¨ãŒã§ãる。\\ -　\\ -{\bf 予約変数}\\ -　KeTCindy ãŒå†…部的ã«ä½¿ç”¨ã™ã‚‹äºˆç´„変数ãŒã‚る。ãã®ã†ã¡æ¬¡ã®ã‚‚ã®ã¯ãƒ¦ãƒ¼ã‚¶ãƒ¼ãŒå€¤ã‚’変更ã¾ãŸã¯è¨å®šã™ã‚‹ã“ã¨ãŒã§ãる。è¨å®šã¯ Initalization スãƒãƒƒãƒˆã®ã€ŒKETlibã€ãƒšãƒ¼ã‚¸ã§ãŠã“ãªã†ãŒï¼ŒFhead ã¨Texparent 㯠Draw スãƒãƒƒãƒˆã§ã‚‚よã„。\\ -\begin{tabbing} -1234567890123\=45678989012345678901234567890123\=\kill -　Fhead　\>書ã出ã•ã‚Œã‚‹ãƒ•ã‚¡ã‚¤ãƒ«åã®é 部\\ -　Texparent　\>親プãƒã‚»ã‚¹ã®ãƒ•ã‚¡ã‚¤ãƒ«å\\ -　Dirhead　\>パスã®é 部\\ -　Dirlib　\>ライブラリ ketlib ã®ãƒ‘ス\\ -　Dirbin　\>ketbin ã®ãƒ‘ス\\ -　Dirwork　\>作æ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã®ãƒ‘ス\\ -　Shellfile　\>シェルファイルå\\ -\end{tabbing} -　以下ã®äºˆç´„変数ã¯ï¼Œãƒ©ã‚¤ãƒ–ラリãŒä½¿ç”¨ã™ã‚‹ã‚°ãƒãƒ¼ãƒãƒ«å¤‰æ•°ã§ã‚ã‚‹ã®ã§ï¼Œãƒ¦ãƒ¼ã‚¶ãƒ¼ã¯ã“れらã®å¤‰æ•°åを使ã£ã¦ã¯ã„ã‘ãªã„。ãªãŠï¼Œå¤‰æ•°ã¯å¤§æ–‡å—å°æ–‡å—を区別ã™ã‚‹ã®ã§ï¼Œå°æ–‡å—ã§æ›¸ã分ã«ã¯æ”¯éšœã¯ãªã„。ã—ãŸãŒã£ã¦ï¼Œãƒ¦ãƒ¼ã‚¶ãƒ¼ãŒä½œã‚‹ãƒ—ãƒã‚°ãƒ©ãƒ ã§ã¯ï¼Œã™ã¹ã¦å°æ–‡å—ã‹ï¼Œå…ˆé ã ã‘ãŒå¤§æ–‡å—ã®å¤‰æ•°ã‚’使ã†ã“ã¨ã‚’勧ã‚る。\\ -　\\ -ADDAXES，　ArrowlineNumber，　ArrowheadNumber，　BezierNumber，\\ -COM0thlist，　COM1stlist，　COM2ndlist，　Dq，　FUNLIST，\\ -Fnamesc ，Fnamescibody，Fnameout，Fnametex，GDATALIST，\\ -GLIST，　GCLIST，　GOUTLIST，　KCOLOR，　KETPICCOUNT，　\\ -KETPICLAYER，　LETTERlist，　LFmark，　MilliIn，　PenThick，　\\ -PenThickInit，　POUTLIST，　SCALEX，　SCALEY，　SCIRELIST，　\\ -SCIWRLIST，　TenSize，　TenSizeInit，　ULEN，　XMAX，　XMIN，　YaSize，\\ -YaThick，　YMAX，　YMIN，　VLIST +\verb|Ketinit(2)| ： å€çŽ‡2，æç”»é ˜åŸŸ $-5 \leq x \leq 5 , -5 \leq y \leq 5$ -\newpage +\verb|Ketinit(2,[-2,3],[-2,4])| ： å€çŽ‡2，æç”»é ˜åŸŸ $-2 \leq x \leq 3 , -2 \leq y \leq 4$ -%è¨å®šãƒ»å®šç¾© ================================== -\section{関数リファレンス} -\subsection{è¨å®šãƒ»å®šç¾©} +\vspace{\baselineskip} +æç”»é ˜åŸŸ(TeXã«å‡ºåŠ›ã™ã‚‹é ˜åŸŸ)ã¯åˆ¶å¾¡ç‚¹SW（左下）ã¨NE（å³ä¸Šï¼‰ã‚’対角ã¨ã™ã‚‹çŸ©å½¢é ˜åŸŸã€‚æç”»é ˜åŸŸã‚’æŒ‡å®šã™ã‚‹ã¨ï¼Œåˆ¶å¾¡ç‚¹ãŒãªã‘ã‚Œã°ãã®ä½ç½®ã«ä½œã‚Šï¼Œã™ã§ã«å˜åœ¨ã™ã‚‹å ´åˆã¯ä½•ã‚‚ã—ãªã„。作æˆã•ã‚ŒãŸåˆ¶å¾¡ç‚¹ã¯ãƒ‰ãƒ©ãƒƒã‚°ã—ã¦æç”»é ˜åŸŸã‚’å¤‰æ›´ã™ã‚‹ã“ã¨ãŒã§ãる。å€çŽ‡ã¯ï¼ŒSetscaling(å€çŽ‡)を実行ã™ã‚‹ã®ã¨åŒã˜ã€‚ãŸã ã—，Cinderellaã§ä½œå›³ã—ãŸå¹¾ä½•è¦ç´ ã«å¯¾ã—ã¦ã¯ç„¡åŠ¹ã€‚(\hyperlink{setscaling}{Setscaling()}ã®é …å‚ç…§) -\begin{description} +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\hypertarget{addax}{} -\item[関数]　Addax(0ã¾ãŸã¯1) -\item[機能]　座標軸を書ãã‹ã©ã†ã‹ã‚’定ã‚ã‚‹ -\item[説明]　Scilabã®Closefile() ã®å¼•æ•°ã«å¯¾å¿œã™ã‚‹ã€‚\\ -　引数ãŒ0ã®ã¨ã座標軸を書ã‹ãªã„（デフォルトã¯1） -\begin{verbatim} -　Listplot([B,A,C]); -　Letter([A,"ne","A",B,"se","B",C,"se","C"]); -\end{verbatim} -　\\ -　\input{Fig/addax1} -\begin{verbatim} -　Listplot([B,A,C,B]); -　Letter([A,"ne","A",B,"sw","B",C,"se","C"]); -　Addax(0); -\end{verbatim} -　\input{Fig/addax2}\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -　\\ -\hypertarget{addcolor}{} -\item[関数]　Addcolor(æ画コマンド , カラーコード) -\item[機能]　æ画コマンドã§æã‹ã‚Œã‚‹ç·šã‚’指定色ã§æã -\item[説明]　æ画コマンドã¯ãƒ€ãƒ–ルクウォートã§ããã£ã¦æ–‡å—列ã¨ã™ã‚‹ã€‚æ画コマンド内ã«ãƒ€ãƒ–ルクウォートãŒã‚ã‚‹å ´åˆã¯ï¼Œã‚·ãƒ³ã‚°ãƒ«ã‚¯ã‚¦ã‚©ãƒ¼ãƒˆã«ã™ã‚‹ã€‚optionã®ã‚ã‚‹æ画コマンドã§optionを指定ã—ãªã„å ´åˆã¯ï¼Œå¿…ãšç©ºãƒªã‚¹ãƒˆã‚’optionã¨ã—ã¦æ›¸ã。æ画色ã¯ï¼ŒRGBã¾ãŸã¯CMYK。æ画色ã¯ç”»é¢ã¨å›³ç‰ˆã®ä¸¡æ–¹ã«æœ‰åŠ¹ã€‚\\ -　\\ -　例：\verb|Addcolor("Plotdata('2','x^2','x',[])",[1,1,0]);|\\ -　\\ -　\\ -\hypertarget{colorcode}{} -\item[関数]　Colorcode(æ–‡å—1,æ–‡å—2, カラーコード) -\item[機能]　文å—１ã‹ã‚‰æ–‡å—ï¼’ã¸ã‚«ãƒ©ãƒ¼ã‚³ãƒ¼ãƒ‰ã‚’変æ›ã™ã‚‹ã€‚戻り値ã¯å¤‰æ›ã•ã‚ŒãŸã‚³ãƒ¼ãƒ‰ã€‚ -\item[説明]　文å—ã¯ï¼Œ"rgb","cmyk","hsv"ã®ã„ãšã‚Œã‹ã€‚\\ -　\\ -例：\verb|Colorcode("rgb","cmyk",[1,0,0]); |\\ -　　　 　RGBコードã®[1,0,0]ã‚’CMYKã«å¤‰æ›ã—ãŸã‚³ãƒ¼ãƒ‰ã‚’è¿”ã™\\ -　　\verb|Colorcode("cmyk","rgb",[0,1,1,0]);|\\ -　　　　CMYKコードã®[0,1,1,0]ã‚’RGBã«å¤‰æ›ã—ãŸã‚³ãƒ¼ãƒ‰ã‚’è¿”ã™\\ -　　\verb|Colorcode("rgb","hsv",[1,0,0]);|\\ -　　　　RGBコードã®[1,0,0]ã‚’HSVã«å¤‰æ›ã—ãŸã‚³ãƒ¼ãƒ‰ã‚’è¿”ã™\\ -　\\ -　\\ -\hypertarget{deffun}{} -\item[関数]　Deffun(関数å , 定義ã®ãƒªã‚¹ãƒˆ) -\item[機能]　関数を定義ã™ã‚‹ -\item[説明]　関数定義ã¯ï¼ŒCindyScript ã®é–¢æ•°å®šç¾© f(x):=å¼ ã§ã‚‚ã§ãã‚‹ãŒï¼ŒDeffun()を使ã†ã“ã¨ã«ã‚ˆã‚Šï¼ŒScilab å´ã«æ¸¡ã™ãƒ•ã‚¡ã‚¤ãƒ«ã«\\ -　function　定義å¼ã€€endfunction;\\ -　ãŒè¨˜è¿°ã•ã‚Œã‚‹ã®ã§ï¼ŒScilabå´ã§ã“ã®é–¢æ•°ã‚’利用ã™ã‚‹ã“ã¨ãŒã§ãる。目的ã«å¿œã˜ã¦ä½¿ã„分ã‘ã‚‹ã¨ã‚ˆã„。\\ -　å¼ã®ãƒªã‚¹ãƒˆã«ã¯ if文を用ã„ãŸå ´åˆåˆ†ã‘ã®é–¢æ•°å¼ã‚’記述ã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ -　\\ -例：$f(x)=\dfrac{1}{x^2+1}$ を定義ã—，グラフをæã„ã¦x=1 ã«ãŠã‘る微分係数を求ã‚る。 +\vspace{\baselineskip} +\hypertarget{setfiles}{} +\item[関数] Setfiles(filename） +\item[機能] 出力ã™ã‚‹ãƒ•ã‚¡ã‚¤ãƒ«åã®è¨å®š +\item[説明] 出力ã™ã‚‹Texã®ãƒ•ã‚¡ã‚¤ãƒ«åを指定ã™ã‚‹ã€‚ + +出力ã™ã‚‹ãƒ•ã‚¡ã‚¤ãƒ«å㯠åˆæœŸè¨å®šã§ã¯ï¼Œä½œå›³ã—ã¦ã„ã‚‹Cinderellaã®ãƒ•ã‚¡ã‚¤ãƒ«å。 + +ãŸã¨ãˆã°ï¼Œtriangle.cdy ã§ä½œå›³ã—ã¦å‡ºåŠ›ã™ã‚‹ã¨ï¼Œtriangle.tex ãŒã§ãる。 + +ã“ã‚Œã«å¯¾ã—，triangle.cdy ã§ä½œå›³ã—ã¦ã„ã‚‹ã¨ãã«ï¼Œgrav.tex ã§å‡ºåŠ›ã—ãŸã„å ´åˆã¯ + +\hspace{10mm} \verb|Setfiles("grav");| + +ã¨ã™ã‚‹ã¨ï¼Œgrav.tex ãŒã§ãる。 + +\vspace{\baselineskip} +\hypertarget{setparent}{} +\item[関数] Setparent(filename） +\item[機能] Parent ボタンã§å‡ºåŠ›ã™ã‚‹ãƒ•ã‚¡ã‚¤ãƒ«åã®è¨å®š +\item[説明] Figpdf() を使ã£ã¦Parent ボタンã§å‡ºåŠ›ã™ã‚‹Texã®ãƒ•ã‚¡ã‚¤ãƒ«åを指定ã™ã‚‹ã€‚ + +Parent ボタンã§å‡ºåŠ›ã™ã‚‹ãƒ•ã‚¡ã‚¤ãƒ«å㯠åˆæœŸè¨å®šãŒãªã„ã®ã§ï¼ŒæŒ‡å®šã™ã‚‹å¿…è¦ãŒã‚る。 + +ãŸã¨ãˆã°ï¼Œtriangle.cdy ã§ä½œå›³ã—ã¦ã„ã‚‹ã¨ãã«ï¼Œå›³ã‚µã‚¤ã‚ºã® grav.pdf ã‚’ä½œã‚‹å ´åˆï¼Œ + +\hspace{10mm} \verb|Setparent("grav");| + +ã¨ã™ã‚‹ã¨ï¼Œå›³ã®TeXファイル triangle.tex 㨠PDFを作る grav.tex ãŒã§ã，ã“ã“ã‹ã‚‰ grav.pdf ãŒã§ãる。 + +\vspace{\baselineskip} +\hypertarget{changework}{} +\item[関数] Changework(パスå） +\item[機能] 作æ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã‚’指定（変更）ã™ã‚‹ +\item[説明] 作æ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã¯ï¼Œ åˆæœŸè¨å®šã§ã¯ï¼Œç¾åœ¨ä½œå›³ã—ã¦ã„るファイルã®ã‚るフォルダ（ディレクトリ）㮠fig フォルダã§ã‚る。ã“れを変更ã™ã‚‹ã€‚ + +\vspace{\baselineskip} +\hypertarget{addpackage}{} +\item[関数] Addpackage(パッケージå) +\item[機能] TeXã®ãƒ‘ãƒƒã‚±ãƒ¼ã‚¸ã‚’è¿½åŠ ã™ã‚‹ +\item[説明] プレビュー用ã®TeXソースã«ãƒ‘ãƒƒã‚±ãƒ¼ã‚¸ã‚’è¿½åŠ ã™ã‚‹ã€‚ + +\vspace{\baselineskip} + ã€ä¾‹ã€‘emath ãƒ‘ãƒƒã‚±ãƒ¼ã‚¸ã‚’è¿½åŠ ã™ã‚‹ã€‚ + +\hspace{10mm} \verb|Addpackage("emath"); | + + ã¾ãŸã¯ + +\hspace{10mm} \verb|Addpackage(["emath"]); | + + ã«ã‚ˆã‚Šï¼Œ + プレビュー用ã®TeXã®ãƒ—リアンブル㫠+ +\hspace{10mm} \verb| \usepackage{emath}| + +ãŒè¿½åŠ ã•ã‚Œã¦ï¼Œemath ã®ã‚³ãƒžãƒ³ãƒ‰ãŒåˆ©ç”¨ã§ãる。 + +\vspace{\baselineskip} +注）åˆæœŸè¨å®šã§ã¯ï¼Œæ¬¡ã®ãƒ‘ッケージを利用ã—ã¦ã„る。 \begin{verbatim} -　　　Deffun("f(x)",["regional(y)","y=1/(x^2+1)","y"]); -　　　Plotdata("1","f(x)","x"); -　　　coeff=Derivative("f(x)","x",1); -\end{verbatim} -　　点Aを作図ã—ã¦ãŠãã¨ï¼Œç‚¹Aをドラッグã—ãŸã¨ã常ã«æ›²ç·šä¸Šã«ä¹—ã›ï¼Œãã®ç‚¹ã§ã®\\ -　　接線を引ãã“ã¨ãŒã§ãる。 + ketpic, ketlayer, amsmath, amssymb, graphicx, color + \end{verbatim} + +\vspace{\baselineskip} +\hypertarget{usegraphics}{} +\item[関数] Usegraphics("pict2e") +\item[機能] TeXã®ã‚°ãƒ©ãƒ•ã‚£ã‚¯ã‚¹ãƒ‘ッケージを \verb|"pict2e"| ã«å¤‰æ›´ã™ã‚‹ +\item[説明] デフォルトã®ãƒ‘ッケージ㯠\verb|"tpic"| ã§ã‚ã‚‹ãŒï¼Œã“れを\verb|"pict2e"| ã«å¤‰æ›´ã™ã‚‹ã€‚ + + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\end{description} +\newpage +%-----------------æç”»è¨å®šãƒ»å®šç¾©-------------------------------------- +\subsubsection{æç”»è¨å®šãƒ»å®šç¾©} + +\vspace{\baselineskip} +\begin{description} +\hypertarget{addax}{} +\item[関数] Addax(0ã¾ãŸã¯1) +\item[機能] 座標軸ã®è¡¨ç¤º +\item[説明] 引数ãŒ1ã®ã¨ã座標軸をæã，0ã®ã¨ãæã‹ãªã„。ãŸã ã—，æç”»é¢ã«ã¯åº§æ¨™è»¸ã¯è¡¨ç¤ºã•ã‚Œãªã„。 +åˆæœŸè¨å®šã¯1ã§ï¼Œåº§æ¨™è»¸ã‚’æã‹ãªã„å ´åˆã®ã¿ \verb|Addax(0)| ã¨ã™ã‚Œã°ã‚ˆã„。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘三角形をæã + +左図㌠åˆæœŸè¨å®šï¼ˆåº§æ¨™è»¸è¡¨ç¤ºï¼‰ã€€Addax(0) ã‚’ã¤ã‘ã‚‹ã¨å³å›³ã«ãªã‚‹ã€‚ + \begin{verbatim} -　　　A.xy=[A.x,f(A.x)]; -　　　coeff=Derivative("f(x)","x",A.x); -　　　Lineplot("1",[A,[A.x+1,A.y+coeff]]); + Listplot([B,A,C]); + Letter([A,"ne","A",B,"se","B",C,"se","C"]); \end{verbatim} -　　　　　\input{Fig/deffun}\\ -　例：$f(x)=\left\{\begin{array}{l}1 　(x\geq 0)\\ -1 　(x<0)\\ \end{array}\right.$ 　　を定義ã™ã‚‹ã€‚ +\vspace{\baselineskip} +\hspace{10mm} \input{Fig/addax1} \input{Fig/FigE} + + +\hypertarget{setax}{} +\item[関数] Setax() +\item[機能] 座標軸ã®æ›¸å¼ã‚’è¨å®šã™ã‚‹ã€‚ +\item[説明] Cinderellaã®æç”»é¢ã«ã¯åæ˜ ã•ã‚Œãªã„。（座標軸ã¯æã‹ã‚Œãªã„） + +引数ã¯ãƒªã‚¹ãƒˆã§ä¸Žãˆï¼Œè¦ç´ ã¯é †ç•ªã« + +1. 軸ã®å½¢çŠ¶ï¼ˆç›´ç·šã¯ "l" ，矢å°ã¯ "a"） åˆæœŸè¨å®šã¯ç›´ç·š + +2. 横軸å åˆæœŸè¨å®šã¯ $x$ + +3. 横軸åã®ä½ç½® + +4. 縦軸å åˆæœŸè¨å®šã¯$y$ + +5. 縦軸åã®ä½ç½® + +6. 原点å åˆæœŸè¨å®šã¯O + +7. 原点åã®ä½ç½® + +ãã‚Œãžã‚Œãƒ€ãƒ–ルクウォートã§ããる。 + +7ã¤ã®å¼•æ•°ã®ã†ã¡n番目ã ã‘を指定ã™ã‚‹å ´åˆã¯ï¼Œ[n,"内容"]ã§æŒ‡å®šã§ãる。 + +ã¾ãŸï¼Œå¾Œæ–¹ã¯ åˆæœŸè¨å®šãªã‚‰çœç•¥ã§ãる。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘座標軸ã®å…ˆç«¯ã‚’矢å°ã«ã—，原点ã®åŒ—西ã«Oを書ã。 + +\hspace{10mm} \verb|Setax(["a","","","","","","nw"]);| + +ã€ä¾‹ã€‘原点ã®åŒ—西ã«Oを書ã。 + +\hspace{10mm} \verb|Setax([7,"nw"]);| + +ã€ä¾‹ã€‘先端を矢å°ã«ã—，横軸を$\theta$，縦軸を$x$ã«ã—ã¦çŸ¢ã˜ã‚Šã®å·¦å´ã«æ›¸ã。 + +\hspace{10mm} \verb|Setax(["a","\theta","","x","w"]);| + +\vspace{\baselineskip} +\hspace{10mm}\input{Fig/setax(theta)} + + +\vspace{\baselineskip} +\hypertarget{drwxy}{} +\item[関数] Drwxy(), Drwxy(options) +\item[機能] 指定ã™ã‚‹æ‰‹é †ã§åº§æ¨™è»¸ã‚’æã +\item[説明] 座標軸㯠åˆæœŸè¨å®šã§ã¯æœ€å¾Œã«æã‹ã‚Œã‚‹ãŒï¼Œåº§æ¨™è»¸ä¸Šã«ç™½æŠœãã®ç‚¹ã‚’表示ã™ã‚‹ãªã©ï¼Œå…ˆã«æãã“ã¨ãŒå¿…è¦ãªå ´åˆã«ç”¨ã„る。æç”»é¢ã«ã¯åº§æ¨™è»¸ã¯è¡¨ç¤ºã•ã‚Œãªã„。 + +options ã¯æ¬¡ã®ãƒªã‚¹ãƒˆã§ã‚る。\\ +\hspace*{10mm}["Origin=",\ "Xrng=",\ "Yrng="] + +ã€ä¾‹ã€‘点$(-\pi,\ 0)$ã¨$(\pi,\ 0)$を白抜ãã®ç‚¹ã§è¡¨ç¤ºã™ã‚‹ã€‚ \begin{verbatim} -　　Deffun("f(x)",["regional(y)","if(x>=0,y=1,y=-1)","y"]); + Setax([7,"se"]); + Setpt(5); + Drwpt([-pi,0],0); + Drwxy(); + Plotdata("1","sin(x)","x",["dr","Num=200"]); + Drwpt([pi,0],0); \end{verbatim} -　if æ–‡ã¯ãƒã‚¹ãƒˆã™ã‚‹ã“ã¨ãŒã§ãる。 + + ã“ã®ã‚¹ã‚¯ãƒªãƒ—トã§ã¯ï¼ŒDrwpt([-pi,0],0); を実行ã—ãŸã®ã¡åº§æ¨™è»¸ã‚’æã，次ã«ï¼Œ$y=\sin x$ ã®ã‚°ãƒ©ãƒ•ã‚’æã„ã¦ã‹ã‚‰ Drwpt([pi,0],0);を実行ã™ã‚‹ã®ã§ï¼Œç‚¹($-\pi$,0) ã®ä¸Šã‚’座標軸ãŒé€šã‚Šï¼Œç‚¹($\pi$,0)ã¯åº§æ¨™è»¸ã¨ã‚°ãƒ©ãƒ•ã®ä¸Šã‚’通るã®ã§ç™½æŠœãã«ãªã‚‹ã€‚\\ + +\begin{center} \input{Fig/drwxy}\end{center} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\vspace{\baselineskip} +\hypertarget{definecolor}{} +\item[関数] Definecolor(色å , 定義ã®ãƒªã‚¹ãƒˆ) +\item[機能] 色åを定義ã™ã‚‹ +\item[説明] ユーザー命åã®è‰²åを定義ã™ã‚‹ã€‚定義リスト㯠RGBã¾ãŸã¯CMYKã®ãƒªã‚¹ãƒˆ + +å„色ï¼ã€œï¼‘ã®ç¯„囲ã§æŒ‡å®šã™ã‚‹ã€‚定義ã—ãŸè‰²åã¯ï¼ŒSetcolor(color,options) ã§ä½¿ã†ã“ã¨ãŒã§ãる。 + +ãªãŠï¼Œ\ketcindy ã§ã¯ï¼Œ68色を色åã§ä½¿ã†ã“ã¨ãŒã§ãる。色ã®å称ã¯\hyperlink{colorcodelist}{カラーコード一覧} å‚照。 + +\vspace{\baselineskip} + ã€ä¾‹ã€‘æš—ã„紫色を darkmaz ã®å称ã§å®šç¾©ã—ã¦ä½¿ã†ã€‚ \begin{verbatim} -　　Deffun("f(x)",["regional y","if(x>1,y=1, -　　　　　　　　if(x>-1,y=x,y=-1))","y"]); + Definecolor("darkmaz",[0.8,0,0.8]); + Setcolor("darkmaz"); \end{verbatim} -　\\ -\hypertarget{defvar}{} -\item[関数]　Defvar(æ–‡å—列) -\item[機能]　変数を定義ã™ã‚‹ -\item[説明]　変数ã®å®šç¾©ã‚’Scilabã¨å…±æœ‰ã™ã‚‹ã€‚ã¾ãŸï¼ŒScilabã®Assignリストã«è¿½åŠ ã™ã‚‹ã€‚\\ -　\\ -　　　例：\verb|Defvar("const=3");|\\ -　\\ -　複数ã®å¤‰æ•°ã‚’定義ã™ã‚‹ã¨ãã¯ãƒªã‚¹ãƒˆã«ã™ã‚‹ã€‚\\ -　\\ -　　　例：\verb|Defvar([“aâ€,3,â€bâ€,1]);|\\ -　\\ -\hypertarget{drwxy}{} -\item[関数]　Drwxy() -\item[機能]　座標軸をæã -\item[説明]　座標軸ã¯ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã§ã¯æœ€å¾Œã«æã‹ã‚Œã‚‹ãŒï¼Œåº§æ¨™è»¸ä¸Šã«ç™½æŠœãã®ç‚¹ã‚’表示ã™ã‚‹ãªã©ï¼Œå…ˆã«æãã“ã¨ãŒå¿…è¦ãªå ´åˆã«ç”¨ã„る。\\ +\vspace{\baselineskip} +\hypertarget{setcolor}{} +\item[関数] Setcolor(color,options） +\item[機能] æ画色ã®è¨å®š +\item[説明] 引数colorã¯ã‚«ãƒ©ãƒ¼ã‚³ãƒ¼ãƒ‰ã¾ãŸã¯è‰²ã®å称。 + +カラーコードã¯RGBã¾ãŸã¯CMYKをリストã§ä¸Žãˆã‚‹ã€‚å„色ï¼ã€œï¼‘。 + +色ã®å称ã¯\hyperlink{colorcodelist}{カラーコード一覧} ã®68色ãŒæŒ‡å®šã§ãる。 -例：点$(-\pi,\ 0)$ã¨$(\pi,\ 0)$を白抜ãã®ç‚¹ã§è¡¨ç¤ºã™ã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘ Cinderellaã®æ画ツールã¨CindyScriptã§ç·šåˆ†AB,ACã‚’60°ã®è§’ã‚’ãªã™ã‚ˆã†ã«æã„ã¦ãŠã，点Dã¨Eを弧ã®ä¸¡ç«¯ã«ãªã‚‹ã‚ˆã†ã«è¨å®šã—㦠\begin{verbatim} -　　Setax([7,"se"]); -　　Setpt(8); -　　Drwpt([-pi,0],0); -　　Drwxy(); -　　Plotdata("1","sin(x)","x",["dr","Num=300"]); -　　Drwpt([[pi,0],0]); + Setcolor([1,0,0]); + Circledata([A,D],["Rng=[0,pi/3]"]); + Arrowhead(E,[-1,0.8],[2,1]); \end{verbatim} +を実行ã™ã‚‹ã¨ï¼ŒçŸ¢ã˜ã‚Šã¤ãã®å¼§ã‚’赤ã§è¡¨ç¤ºã™ã‚‹ã“ã¨ãŒã§ãる。 + +１行目ã¯ï¼Œ\verb|Setcolor("red");| ã§ã‚‚よã„。 +座標軸をæãå ´åˆã¯ï¼Œã“ã®ã‚㨠\verb|Setcolor("black")| ã§é»’ã«æˆ»ã—ã¦ãŠã‹ãªã„ã¨ï¼Œåº§æ¨™è»¸ãŒèµ¤ã§è¡¨ç¤ºã•ã‚Œã¦ã—ã¾ã†ã®ã§è¦æ³¨æ„。 -　ã“ã®ã‚¹ã‚¯ãƒªãƒ—トã§ã¯ï¼ŒDrwpt([-pi,0],0); を実行ã—ãŸã®ã¡åº§æ¨™è»¸ã‚’æã，次ã«ï¼Œ$y=\sin x$ ã®ã‚°ãƒ©ãƒ•ã‚’æã„ã¦ã‹ã‚‰ Drwpt([pi,0],0);を実行ã™ã‚‹ã®ã§ï¼Œç‚¹($-\pi$,0) ã®ä¸Šã‚’座標軸ãŒé€šã‚Šï¼Œç‚¹($\pi$,0)ã¯åº§æ¨™è»¸ã¨ã‚°ãƒ©ãƒ•ã®ä¸Šã‚’通るã®ã§ç™½æŠœãã«ãªã‚‹ã€‚\\ -\input{Fig/drwxy} -　\\ -　\\ -\hypertarget{fontsize}{} -\item[関数]　Fontsize(記å·) -\item[機能]　フォントサイズをè¨å®šã™ã‚‹ -\item[説明]　次㫠Fontsize() を実行ã™ã‚‹ã¾ã§æœ‰åŠ¹\\ -　記å·ã¯ï¼Œ"t" , "ss" , "f", "s" , "n" , "la", "La", "LA", "h" , "H"\\ - -例:å°ã•ã„æ–¹ã‹ã‚‰ã„ãã¤ã‹è¡¨ç¤ºã™ã‚‹ã€‚ -\begin{verbatim} -　　Ptsize(2); -　　Drawpoint([A,B,C,D,E,F,G]); -　　Fontsize("t"); Letter([A,"s2","A"]); -　　Fontsize("ss"); Letter([B,"s2","B"]); -　　Fontsize("s"); Letter([C,"s2","C"]); -　　Fontsize("la"); Letter([D,"s2","D"]); -　　Fontsize("La"); Letter([E,"s2","E"]); -　　Fontsize("h"); Letter([F,"s2","F"]); -　　Fontsize("H"); Letter([G,"s2","G"]); -\end{verbatim} -　　\input{Fig/fontsize} - -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage -\hypertarget{ketinit}{} -\item[関数]　Ketinit(options) -\item[機能]　\ketcindy ã‚’åˆæœŸåŒ–ã™ã‚‹ -\item[説明]　opution 縦方å‘ã®å€çŽ‡ã¨æç”»é ˜åŸŸã‚’è¨å®š\\ +\vspace{\baselineskip} +\hspace{20mm} \includegraphics[width=3.5cm,bb=0 0 161 134]{Fig/setcolor.pdf} -　例：\verb|Ketinit()| ：å€çŽ‡ï¼‘，æç”»é ˜åŸŸ $-5 \leq x \leq 5 , -5 \leq y \leq 5$（デフォルト）\\ -　　　\verb|Ketinit(2)| ： å€çŽ‡ï¼’，æç”»é ˜åŸŸ $-5 \leq x \leq 5 , -5 \leq y \leq 5$\\ -　　　\verb|Ketinit(2,[-2,3],[-2,4])| ： å€çŽ‡ï¼’，æç”»é ˜åŸŸ $-2 \leq x \leq 3 , -2 \leq y \leq 4$\\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -　æç”»é ˜åŸŸ(TeXã«å‡ºåŠ›ã™ã‚‹é ˜åŸŸ)ã¯åˆ¶å¾¡ç‚¹SW（左下）ã¨NE（å³ä¸Šï¼‰ã‚’対角ã¨ã™ã‚‹çŸ©å½¢é ˜åŸŸã€‚æç”»é ˜åŸŸã‚’æŒ‡å®šã™ã‚‹ã¨ï¼Œåˆ¶å¾¡ç‚¹ãŒãªã‘ã‚Œã°ãã®ä½ç½®ã«ä½œã‚Šï¼Œã™ã§ã«å˜åœ¨ã™ã‚‹å ´åˆã¯ä½•ã‚‚ã—ãªã„。作æˆã•ã‚ŒãŸåˆ¶å¾¡ç‚¹ã¯ãƒ‰ãƒ©ãƒƒã‚°ã—ã¦æç”»é ˜åŸŸã‚’å¤‰æ›´ã™ã‚‹ã“ã¨ãŒã§ãる。\\ -　å€çŽ‡ã¯ï¼ŒSetscaling(å€çŽ‡)を実行ã™ã‚‹ã®ã¨åŒã˜ã€‚ãŸã ã—，Cinderellaã§ä½œå›³ã—ãŸå¹¾ä½•è¦ç´ ã«å¯¾ã—ã¦ã¯ç„¡åŠ¹ã€‚(Setscaling()ã®é …å‚ç…§)\\ +\vspace{\baselineskip} +\hypertarget{deffun}{} +\item[関数] Deffun(関数å , 定義ã®ãƒªã‚¹ãƒˆ) +\item[機能] 関数を定義ã™ã‚‹ +\item[説明] 関数定義ã¯ï¼ŒCindyScript ã®é–¢æ•°å®šç¾© f(x):=å¼ ã§ã‚‚ã§ãã‚‹ãŒï¼ŒDeffun()を使ã†ã“ã¨ã«ã‚ˆã‚Šï¼ŒRã§ã“ã®é–¢æ•°ã‚’利用ã™ã‚‹ã“ã¨ãŒã§ãる。目的ã«å¿œã˜ã¦ä½¿ã„分ã‘ã‚‹ã¨ã‚ˆã„。 -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +å¼ã®ãƒªã‚¹ãƒˆã«ã¯ if文を用ã„ãŸå ´åˆåˆ†ã‘ã®é–¢æ•°å¼ã‚’記述ã™ã‚‹ã“ã¨ã‚‚ã§ãる。 -\hypertarget{ptsie}{} -\item[関数]　Ptsize(n) , Setpt(n) -\item[機能]　表示ã™ã‚‹ç‚¹ã®å¤§ãã•ã‚’è¨å®šã™ã‚‹ã€‚ -\item[説明]　Ptsize() 㨠Setpt() ã¯åŒã˜ã§ã‚る。デフォルトã¯ï¼‘\\ -　Ptsize()ã¯CindyScript風ã®èªžæ³•ï¼ŒSetpt() 㯠\ketpic 風ã®èªžæ³•\\ -　全体ã®ç‚¹ã®å¤§ãã•ã‚’è¨å®šã™ã‚‹ã€‚点ã®å¤§ãã•ã‚’個々ã«å¤‰ãˆãŸã„å ´åˆã¯ï¼Œsizeオプションを用ã„る。\\ +\vspace{\baselineskip} +ã€ä¾‹ã€‘ +$f(x)=\dfrac{1}{x^2+1}$ を定義ã—，グラフをæã。 -例：１ã‹ã‚‰ï¼”ã¾ã§ã®ç‚¹ã®å¤§ãã•\\ -　ã‚らã‹ã˜ã‚，Cinderellaã®ä½œå›³ãƒ„ールã§ç‚¹A,B,C,Dを作図ã—ã¦ãŠã。 \begin{verbatim} -　　Pointdata("1",A,["size=1"]); -　　Pointdata("2",B,["size=2"]); -　　Pointdata("3",C,["size=3"]); -　　Pointdata("4",D,["size=4"]); +Deffun("f(x)",["regional(y)","y=1/(x^2+1)","y"]); +Plotdata("1","f(x)","x"); \end{verbatim} -\input{Fig/pointsize}\\ +\vspace{\baselineskip} +\hspace{20mm}\scalebox{0.9}{\input{Fig/deffun01}} + + +\vspace{\baselineskip} + ã€ä¾‹ã€‘$f(x)=\left\{\begin{array}{l}1　 (x\geq 0)\\ -1 　 (x<0)\\ \end{array}\right.$ を定義ã—ã¦ã‚°ãƒ©ãƒ•ã‚’æã。 -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage -\hypertarget{setax}{} -\item[関数]　Setax() -\item[機能]　座標軸ã®æ›¸å¼ã‚’è¨å®šã™ã‚‹ã€‚ -\item[説明]　Scilabã®ã¿ã§å®Ÿè¡Œã™ã‚‹ã€‚Cinderellaã®æç”»é¢ã«åæ˜ ã•ã‚Œãªã„。\\ -引数ã¯é †ç•ªã«\\ -　1. 軸ã®å½¢çŠ¶ï¼ˆç›´ç·šã¯ "l" ，矢å°ã¯ "a"）デフォルトã¯ç›´ç·š\\ -　2. 横軸å　デフォルト㯠$x$ \\ -　3. 横軸åã®ä½ç½®\\ -　4. 縦軸å　デフォルトã¯$y$\\ -　5. 縦軸åã®ä½ç½®\\ -　6. 原点å　デフォルトã¯O\\ -　7. 原点åã®ä½ç½®\\ -ãã‚Œãžã‚Œãƒ€ãƒ–ルクウォートã§ããる。\\ -ï¼—ã¤ã®å¼•æ•°ã®ã†ã¡n番目ã ã‘を指定ã™ã‚‹å ´åˆã¯ï¼Œ[n,"内容"]ã§æŒ‡å®šã§ãる。\\ -ã¾ãŸï¼Œå¾Œæ–¹ã¯ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆãªã‚‰çœç•¥ã§ãる。\\ - -　　例：座標軸ã®å…ˆç«¯ã‚’矢å°ã«ã—，原点ã®åŒ—西ã«Oを書ã。\\ -　　　　\verb|Setax(["a","","","","","","nw"]);|\\ - -　　例：原点ã®åŒ—西ã«Oを書ã。\\ -　　　　\verb|Setax([7,"nw"]);|\\ - -　　例：先端を矢å°ã«ã—，横軸をθ，縦軸を$x$ã«ã—ã¦çŸ¢ã˜ã‚Šã®å·¦å´ã«æ›¸ã。\\ -　　　　\verb|Setax(["a","θ","","x","w"]);|\\ -　\\ -　　　　　\input{Fig/setax_theta} -　\\ - -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage -\hypertarget{definecolor}{} -\item[関数]　Definecolor(色å , 定義ã®ãƒªã‚¹ãƒˆ) -\item[機能]　色åを定義ã™ã‚‹ -\item[説明]　ユーザー命åã®è‰²åを定義ã™ã‚‹ã€‚定義リスト㯠RGBã¾ãŸã¯CMYKã®ãƒªã‚¹ãƒˆ\\ -　å„色ï¼ã€œï¼‘ã®ç¯„囲ã§æŒ‡å®šã™ã‚‹ã€‚定義ã—ãŸè‰²åã¯ï¼ŒSetcolor(color,options)　ã§ä½¿ã†ã“ã¨ãŒã§ãる。ãªãŠï¼ŒKeTCindyã§ã¯ï¼Œ68色を色åã§ä½¿ã†ã“ã¨ãŒã§ãる。次㮠Setcolor(color,options) å‚照）\\ -　\\ -　例：暗ã„紫色を darkmaz ã®å称ã§å®šç¾©ã—ã¦ä½¿ã†ã€‚ \begin{verbatim} -　　　Definecolor("darkmaz",[0.8,0,0.8]); -　　　Setcolor("darkmaz"); + Deffun("f(x)",["regional(y)","if(x>=0,y=1,y=-1)","y"]); + Plotdata("1","f(x)","x",["Dis=1","Num=100"]; \end{verbatim} -\hypertarget{setcolor}{} -　\\ -　\\ -\item[関数]　Setcolor(color,options） -\item[機能]　æ画色ã®è¨å®š -\item[説明]　引数colorã¯ã‚«ãƒ©ãƒ¼ã‚³ãƒ¼ãƒ‰ã¾ãŸã¯è‰²ã®å称。\\ -　カラーコードã¯RGBã¾ãŸã¯CMYKをリストã§ä¸Žãˆã‚‹ã€‚å„色ï¼ã€œï¼‘。\\ -　色ã®å称ã¯æ¬¡é ã®68色ãŒæŒ‡å®šã§ãる。ãŸã ã—，Cinderellaã®ç”»é¢ã«ã¯è‰²ã¯åæ˜ ã•ã‚Œãªã„。\\ -　colorã«è‰²ã®å称を用ã„ãŸå ´åˆã¯ï¼Œoption ã¨ã—ã¦ï¼Œé€æ˜Žåº¦ã‚’ï¼ã€œï¼‘ã®æ•°ã§æŒ‡å®šã§ãる。１ãŒæœ€ã‚‚濃ã，ï¼ã¯çµæžœã¨ã—ã¦è‰²å¡—ã‚Šã‚’ã—ãªã„。\\ -　\\ -例　Cinderellaã®æ画ツールã¨CindyScriptã§ç·šåˆ†AB,ACã‚’60°ã®è§’ã‚’ãªã™ã‚ˆã†ã«æã„ã¦ãŠã，点Dã¨Eを弧ã®ä¸¡ç«¯ã«ãªã‚‹ã‚ˆã†ã«è¨å®šã—㦠-\begin{verbatim} -　　　Setcolor([1,0,0]); -　　　Circledata([A,D],["Rng=[0,pi/3]"]); -　　　Arrowhead(E,[-1,0.8],[2,1]); -\end{verbatim} -　を実行ã™ã‚‹ã¨ï¼ŒçŸ¢ã˜ã‚Šã¤ãã®å¼§ã‚’赤ã§è¡¨ç¤ºã™ã‚‹ã“ã¨ãŒã§ãる。\\ -　１行目ã¯ï¼Œ\verb|Setcolor("red");|　ã§ã‚‚よã„。\\ -　ãŸã ã—，Cinderellaã®æç”»é¢ã§ã¯ç€è‰²ã•ã‚Œãªã„。\\ -　æç”»é¢ã§ã‚‚ç€è‰²ã—ãŸã„å ´åˆã¯ï¼Œã‚ªãƒ—ション \verb|"Color=[R,G,B]"| を用ã„る。\\ -　上ã®ä¾‹ã®å ´åˆï¼Œ -\begin{verbatim} -　　Circledata([A,D],["Rng=[0,pi/3]","Color=[1,0,0]"]); -　　Arrowhead(E,[-1,0.8],[2,1,"Color=[1,0,0]"]); -\end{verbatim} -　ã¨ã™ã‚Œã°ï¼Œæç”»é¢ã§ã‚‚赤ã§è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ - -　　　　　　\includegraphics[width=3.5cm,bb=0 0 161 134]{Fig/setcolor.pdf} -　\\ -　\\ -\scalebox{0.9}{\input{Fig/colortable1-34}} -\newpage -　\\ -　\\ -　\\ -\scalebox{0.9}{\input{Fig/colortable35-68}} -　\\ -　\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage +\vspace{\baselineskip} +\hspace{20mm}\scalebox{0.9}{\input{Fig/deffun02}} + + if æ–‡ã¯ãƒã‚¹ãƒˆã™ã‚‹ã“ã¨ãŒã§ãる。 +\begin{verbatim} + Deffun("f(x)",["regional y","if(x>1,y=1,if(x>-1,y=x,y=-1))","y"]); +\end{verbatim} + +\vspace{\baselineskip} +\hspace{20mm}\scalebox{0.9}{\input{Fig/deffun03}} + + +\vspace{\baselineskip} +\hypertarget{defvar}{} +\item[関数] Defvar(æ–‡å—列) +\item[機能] 変数を定義ã™ã‚‹ +\item[説明] 変数ã®å®šç¾©ã‚’Rã¨å…±æœ‰ã™ã‚‹ã€‚ + +ã€ä¾‹ã€‘ \verb|Defvar("const=3");| + +\vspace{\baselineskip} + 複数ã®å¤‰æ•°ã‚’定義ã™ã‚‹ã¨ãã¯ãƒªã‚¹ãƒˆã«ã™ã‚‹ã€‚ + +ã€ä¾‹ã€‘ \verb|Defvar([“aâ€,3,â€bâ€,1]);| + +\vspace{\baselineskip} +\hypertarget{fontsize}{} +\item[関数] Fontsize(記å·) +\item[機能] フォントサイズをè¨å®šã™ã‚‹ +\item[説明] 次㫠Fontsize() を実行ã™ã‚‹ã¾ã§æœ‰åŠ¹\\ + 記å·ã¯ï¼Œ"t" , "ss" , "f", "s" , "n" , "la", "La", "LA", "h" , "H"\\ + +ã€ä¾‹ã€‘作図ツールã®ã€Œç‚¹ã‚’åŠ ãˆã‚‹ã€ã§ï¼ŒA〜Gã®ç‚¹ã‚’ã¨ã£ã¦ãŠã。å°ã•ã„æ–¹ã‹ã‚‰ã„ãã¤ã‹è¡¨ç¤ºã™ã‚‹ã€‚ +\begin{verbatim} + Ptsize(2); + Drawpoint([A,B,C,D,E,F,G]); + Fontsize("t"); Letter([A,"s2","A"]); + Fontsize("ss"); Letter([B,"s2","B"]); + Fontsize("s"); Letter([C,"s2","C"]); + Fontsize("la"); Letter([D,"s2","D"]); + Fontsize("La"); Letter([E,"s2","E"]); + Fontsize("h"); Letter([F,"s2","F"]); + Fontsize("H"); Letter([G,"s2","G"]); +\end{verbatim} +\input{Fig/fontsize} + +\vspace{\baselineskip} +\hypertarget{setpt}{} +\hypertarget{ptsize}{} +\item[関数] Ptsize(n) , Setpt(n) +\item[機能] 表示ã™ã‚‹ç‚¹ã®å¤§ãã•ã‚’è¨å®šã™ã‚‹ã€‚ +\item[説明] Ptsize() 㨠Setpt() ã¯åŒã˜ã§ã‚る。 åˆæœŸè¨å®šã¯ï¼‘ + +全体ã®ç‚¹ã®å¤§ãã•ã‚’è¨å®šã™ã‚‹ã€‚点ã®å¤§ãã•ã‚’個々ã«å¤‰ãˆãŸã„å ´åˆã¯ï¼Œsizeオプションを用ã„る。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘１ã‹ã‚‰4ã¾ã§ã®ç‚¹ã®å¤§ãã• + +ã‚らã‹ã˜ã‚，Cinderellaã®ä½œå›³ãƒ„ールã§ç‚¹A,B,C,Dを作図ã—ã¦ãŠã。 +\begin{verbatim} + Pointdata("1",A,["Size=1"]); + Pointdata("2",B,["Size=2"]); + Pointdata("3",C,["Size=3"]); + Pointdata("4",D,["Size=4"]); +\end{verbatim} +\hspace{10mm}\input{Fig/pointsize} + \hypertarget{setmarklen}{} -\item[関数]　Setmarklen(æ•°)　 -\item[機能]　座標軸ã®ç›®ç››ã®é•·ã•ã‚’è¨å®šã™ã‚‹ -\item[説明]　Htickmark() , Vtickmark() ã§åº§æ¨™è»¸ã«ç›®ç››ã‚’入れるã¨ã，ãã®é•·ã•ã‚’è¨å®šã™ã‚‹ã€‚ \\ - 　　　⇒ \hyperlink{htickmark}{Htickmark([横座標 , æ–¹å‘ , æ–‡å—])}\\ +\item[関数] Setmarklen(æ•°) +\item[機能] 座標軸ã®ç›®ç››ã®é•·ã•ã‚’è¨å®šã™ã‚‹ +\item[説明] \hyperlink{htickmark}{Htickmark()} , Vtickmark() ã§åº§æ¨™è»¸ã«ç›®ç››ã‚’入れるã¨ã，ãã®é•·ã•ã‚’è¨å®šã™ã‚‹ã€‚ +\vspace{\baselineskip} \hypertarget{setorigin}{} -\item[関数]　Setorigin(座標） 　　 -\item[機能]　æç”»ã™ã‚‹åº§æ¨™è»¸ã®åŽŸç‚¹ã‚’è¨å®šï¼ˆç§»å‹•ï¼‰ã™ã‚‹ -\item[説明]　æç”»ã™ã‚‹åº§æ¨™è»¸ã®åŽŸç‚¹ã‚’引数ã®åº§æ¨™ã¨ã™ã‚‹ã€‚座標ã¯ç‚¹ã®è˜åˆ¥åã§ã‚‚よã„。\\ +\item[関数] Setorigin(座標） +\item[機能] æç”»ã™ã‚‹åº§æ¨™è»¸ã®åŽŸç‚¹ã‚’è¨å®šï¼ˆç§»å‹•ï¼‰ã™ã‚‹ã€‚座標系ã¯å¤‰åŒ–ã—ãªã„。 +\item[説明] æç”»ã™ã‚‹åº§æ¨™è»¸ã®åŽŸç‚¹ã‚’引数ã®åº§æ¨™ã¨ã™ã‚‹ã€‚座標ã¯ç‚¹ã®è˜åˆ¥åã§ã‚‚よã„。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘原点を (3,2) ã¨ã—ã¦åº§æ¨™è»¸ã‚’æã。 -　例：原点を (3,2) ã¨ã—ã¦åº§æ¨™è»¸ã‚’æã。\\ -　　　　\verb|Setorigin([3,2]);|\\ -　　　原点を点Aã®ä½ç½®ã«ã—ã¦åº§æ¨™è»¸ã‚’æã。\\ -　　　　\verb|Setorigin(A);| \\ +\hspace{10mm} \verb|Setorigin([3,2]);| -　注æ„：座標軸ã¨ã¨ã‚‚ã«ï¼ŒåŽŸç‚¹ã®O，軸åãªã©ã‚‚移動ã™ã‚‹ãŒï¼Œåº§æ¨™ç³»ãŒå¤‰æ›´ã•ã‚Œã‚‹\\ -　　　　ã‚ã‘ã§ã¯ãªã„。\\ +原点を点Aã®ä½ç½®ã«ã—ã¦åº§æ¨™è»¸ã‚’æã。 -　例：原点ã¯(3,2)ã«ç§»å‹•ã™ã‚‹ãŒï¼Œã‚¹ã‚¯ãƒªãƒ—トã§ã¯ã‚‚ã¨ã®åº§æ¨™ç³»ã‚’使ã†ã€‚ +\hspace{10mm} \verb|Setorigin(A);| + +\vspace{\baselineskip} + ã€ä¾‹ã€‘原点ã¯(3,2)ã«ç§»å‹•ã™ã‚‹ãŒï¼Œã‚¹ã‚¯ãƒªãƒ—トã§ã¯ã‚‚ã¨ã®åº§æ¨™ç³»ã‚’使ã†ã€‚ \begin{verbatim} -　　　Setorigin([3,2]); -　　　Listplot([A,B,C,A]); -　　　Ptsize(3); -　　　Drawpoint([1,1]); -　　　Letter([[1,1],"s2","P"]); + Setorigin([3,2]); + Listplot([A,B,C,A]); + Ptsize(3); + Drawpoint([1,1]); + Letter([[1,1],"s2","P"]); \end{verbatim} -　左ãŒå®Ÿè¡Œæ™‚ã®Cinderellaã®ç”»é¢ï¼Œå³ãŒ\TeX ã®çµæžœã€‚\\ + å·¦ãŒå®Ÿè¡Œæ™‚ã®Cinderellaã®ç”»é¢ï¼Œå³ãŒ\TeX ã®çµæžœã€‚\\ + +\hspace{10mm} \includegraphics[bb=0 0 227 205 , width=4cm]{Fig/setorigin.pdf} \input{Fig/setorigin} -　　　\includegraphics[bb=0 0 227 205 , width=4cm]{Fig/setorigin.png}　　\input{Fig/setorigin}\\ -　\\ +\vspace{\baselineskip} \hypertarget{setpen}{} -\item[関数]　Setpen(数） 　　 -\item[機能]　線ã®å¤ªã•ã‚’è¨å®šã™ã‚‹\\ -　\\[-5mm] -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -　\\ -\hypertarget{setpt}{} -\item[関数]　Setpt(æ•°) 　　　 -\item[機能]　表示ã™ã‚‹ç‚¹ã®å¤§ãã•ã‚’è¨å®šã™ã‚‹\\ +\item[関数] Setpen(数） +\item[機能] ç·šã®å¤ªã•ã®åˆæœŸå€¤ã‚’è¨å®šã™ã‚‹ + +\verb|Listplot()| ãªã©ã®æ画関数ã®ã‚ªãƒ—ション \verb|dr| ã§ï¼Œå€‹ã€…ã®å¤ªã•ã¯æŒ‡å®šã§ãる。 +\vspace{\baselineskip} \hypertarget{setscaling}{} -\item[関数]　Setscaling(å€çŽ‡) -\item[機能]　縦方å‘ã®å€çŽ‡ã‚’è¨å®šã™ã‚‹ -\item[説明]　２次関数ã®å¿œç”¨å•é¡Œãªã©ã§ã¯ï¼Œã‚°ãƒ©ãƒ•ãŒç¸¦ã«å¤§ãããªã‚‹å ´åˆãŒã‚り，$y$軸方å‘ã®ã‚¹ã‚±ãƒ¼ãƒªãƒ³ã‚°ã‚’変ãˆã‚‹ã“ã¨ãŒã‚ˆãã‚る。次ã®ã‚¹ã‚¯ãƒªãƒ—トã¯ï¼Œ$f(x)=-x^2+10x$ ã®ã‚°ãƒ©ãƒ•ã‚’縦軸方å‘ã‚’åŠåˆ†ã«ã—ã¦æãã‚‚ã®ã§ã‚る。\\ +\item[関数] Setscaling(å€çŽ‡) +\item[機能] 縦方å‘ã®å€çŽ‡ã‚’è¨å®šã™ã‚‹ã€‚å€çŽ‡ã¯å®Ÿæ•°ã¾ãŸã¯ãƒªã‚¹ãƒˆã€‚実数ã®å ´åˆã¯ç¸¦æ–¹å‘，リストã®å ´åˆã¯[横方å‘，縦方å‘]ã®æŒ‡å®šã¨ãªã‚‹ã€‚ +\item[説明] 2次関数ã®å¿œç”¨å•é¡Œãªã©ã§ã¯ï¼Œã‚°ãƒ©ãƒ•ãŒç¸¦ã«å¤§ãããªã‚‹å ´åˆãŒã‚り，$y$軸方å‘ã®ã‚¹ã‚±ãƒ¼ãƒªãƒ³ã‚°ã‚’変ãˆãŸã„ã“ã¨ãŒã‚ˆãã‚る。次ã®ã‚¹ã‚¯ãƒªãƒ—トã¯ï¼Œ$f(x)=-x^2+10x$ ã®ã‚°ãƒ©ãƒ•ã‚’縦軸方å‘ã‚’åŠåˆ†ã«ã—ã¦æãã‚‚ã®ã§ã‚る。 + \begin{layer}{150}{0} -\putnotese{80}{0}{\input{Fig/setscaling}} +\putnotese{80}{5}{\input{Fig/setscaling}} \end{layer} -　\\ -\begin{verbatim} -　Setscaling(0.5); -　A.xy=[0,25/4]; -　B.xy=[5/2,25/4]; -　C.xy=[5/2,0]; -　Listplot([A,B],["do"]); -　Listplot([C,B],["do"]); -　Plotdata("1","-2*x^2+10*x","x"); -　Letter([[5,0],"s2w","5",[0,25/2],"w2", -　　　　"$\frac{25}{2}$",C,"s4","$\frac{5}{2}$"]); -\end{verbatim} -%　　　　　　　　　　\input{Fig/setscaling}\\ -　ã“ã“ã§ï¼Œç‚¹A,Bã®åº§æ¨™ãŒ -\begin{verbatim} -　　A.xy=[0,25/4]; -　　B.xy=[5/2,25/4]; -\end{verbatim} -ã¨ãªã£ã¦ã„ã‚‹ã“ã¨ã«æ³¨æ„ã•ã‚ŒãŸã„。$y$座標をã‚らã‹ã˜ã‚åŠåˆ†ã«ã—ã¦ã„る。ã™ãªã‚ã¡ï¼ŒCinderellaã§ä½œå›³ã—ãŸå¹¾ä½•è¦ç´ ã«å¯¾ã—ã¦ã¯Setscalingã¯ç„¡åŠ¹ã§ã‚る。ã“ã‚Œã¯ï¼ŒPutpoint関数を用ã„ã¦ç‚¹ã®ä½ç½®ã‚’決ã‚ã¦ã‚‚åŒã˜ã§ã‚る。\\ -　ãŸã¨ãˆã°ï¼Œæ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トã§ã¯ï¼ŒCinderellaã®ç”»é¢ä¸Šã§ã¯ï¼’本ã®ç·šåˆ†ãŒç‚¹Bã§ã¤ãªãŒã‚‹ãŒï¼Œæ›¸ã出ã•ã‚ŒãŸ\TeX ã®å›³ã§ã¯é›¢ã‚Œã¦ã—ã¾ã†ã€‚ -\begin{verbatim} -　　Setscaling(0.5); -　　Putpoint("A",[0,2]); -　　Putpoint("B",[2,2]); -　　Listplot([A,B]); -　　Listplot("1",[[0,0],[2,2]]); -\end{verbatim} -　\\ -　\\ -%\newpage +\begin{verbatim} + Setscaling(0.5); + A.xy=[0,25/4]; + B.xy=[5/2,25/4]; + C.xy=[5/2,0]; + Listplot([A,B],["do"]); + Listplot([C,B],["do"]); + Plotdata("1","-2*x^2+10*x","x"); + Letter([[5,0],"s2w","5",[0,25/2],"w2", + "$\frac{25}{2}$",C,"s4","$\frac{5}{2}$"]); +\end{verbatim} + ã“ã“ã§ï¼Œç‚¹A,Bã®åº§æ¨™ãŒ +\begin{verbatim} + A.xy=[0,25/4]; + B.xy=[5/2,25/4]; +\end{verbatim} +ã¨ãªã£ã¦ã„ã‚‹ã“ã¨ã«æ³¨æ„ã•ã‚ŒãŸã„。$y$座標をã‚らã‹ã˜ã‚åŠåˆ†ã«ã—ã¦ã„る。ã™ãªã‚ã¡ï¼ŒCinderellaã§ä½œå›³ã—ãŸå¹¾ä½•è¦ç´ ã«å¯¾ã—ã¦ã¯Setscalingã¯ç„¡åŠ¹ã§ã‚る。ã“ã‚Œã¯ï¼ŒPutpoint関数を用ã„ã¦ç‚¹ã®ä½ç½®ã‚’決ã‚ã¦ã‚‚åŒã˜ã§ã‚る。 + +ãŸã¨ãˆã°ï¼Œæ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トã§ã¯ï¼ŒCinderellaã®ç”»é¢ä¸Šã§ã¯2本ã®ç·šåˆ†ãŒç‚¹Bã§ã¤ãªãŒã‚‹ãŒï¼Œæ›¸ã出ã•ã‚ŒãŸ\TeX ã®å›³ã§ã¯é›¢ã‚Œã¦ã—ã¾ã†ã€‚ +\begin{verbatim} + Setscaling(0.5); + Putpoint("A",[0,2]); + Putpoint("B",[2,2]); + Listplot([A,B]); + Listplot("1",[[0,0],[2,2]]); +\end{verbatim} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\vspace{\baselineskip} \hypertarget{setunitlen}{} -\item[関数]　Setunitlen(æ–‡å—列) -\item[機能]　å˜ä½é•·ã‚’è¨å®šã™ã‚‹ã€‚デフォルト㯠1cm\\ -　ã“ã®é–¢æ•°ã¯ï¼Œã‚¹ã‚¯ãƒªãƒ—トã®åˆã‚ã®æ–¹ã«æ›¸ãã®ãŒã‚ˆã„。\\ -　\\ +\item[関数] Setunitlen(æ–‡å—列) +\item[機能] å˜ä½é•·ã‚’è¨å®šã™ã‚‹ã€‚ åˆæœŸè¨å®šã¯ 1cm。 + +ã“ã®é–¢æ•°ã¯ï¼Œã‚¹ã‚¯ãƒªãƒ—トã®åˆã‚ã®æ–¹ã«æ›¸ãã®ãŒã‚ˆã„。 + +ã€ä¾‹ã€‘Setunitlen("8mm") + +\vspace{\baselineskip} \hypertarget{setwindow}{} -\item[関数]　Setwindow(） -\item[機能]　出力ã™ã‚‹æç”»é ˜åŸŸã‚’è¨å®šã™ã‚‹\\ -\item[説明]　出力ã™ã‚‹æç”»é ˜åŸŸã¯ï¼Œé€šå¸¸ã¯ï¼’点SWã¨NEを対角ã¨ã™ã‚‹çŸ©å½¢é ˜åŸŸã§ã‚る。 -ã“ã®ï¼’点をドラッグã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šãƒ“ジュアルã«æç”»é ˜åŸŸã‚’æ±ºã‚られる。\\ -ã—ã‹ã—，ã“ã‚Œã¨ã¯åˆ¥ã«å‡ºåŠ›ç¯„囲をè¨å®šã—ãŸã„å ´åˆã«ã“ã®é–¢æ•°ã‚’用ã„る。\\ -ã¾ãŸï¼Œè¡¨ã‚’作æˆã—ãŸã¨ãã¯ï¼Œè¡¨ã®ç¯„囲ãŒå‡ºåŠ›ç¯„囲ã¨ã—ã¦å„ªå…ˆã•ã‚Œã‚‹ï¼ˆTabledata()を実行ã—ãŸã¨ã）ã®ã§ï¼Œè¡¨å¤–ã«å›³ã‚’æã„ãŸå ´åˆã¯ï¼Œæœ€å¾Œã«ã“ã®é–¢æ•°ã§å‡ºåŠ›ç¯„囲を指定ã—ã¦æ›¸ã出ã™ã€‚\\ -　\\ +\item[関数] Setwindow(） +\item[機能] 出力ã™ã‚‹æç”»é ˜åŸŸã‚’è¨å®šã™ã‚‹ +\item[説明] 出力ã™ã‚‹æç”»é ˜åŸŸã¯ï¼Œé€šå¸¸ã¯2点SWã¨NEを対角ã¨ã™ã‚‹çŸ©å½¢é ˜åŸŸã§ã‚る。 -\hypertarget{slider}{} -\item[関数]　Slider(å称，ä½ç½®1,ä½ç½®2) -\item[機能]　スライダを作æˆã™ã‚‹ -\item[説明]　å称㯠"A-C-B" ã®å½¢ã§ï¼Œç«¯ç‚¹ã‚’A,B，スライダ点をCã¨ã—ãŸã‚¹ãƒ©ã‚¤ãƒ€ã‚’作る。\\ -　端点A,Bã®ä½ç½®ã‚’，ä½ç½®1，ä½ç½®2ã§æŒ‡å®šã™ã‚‹ã€‚ +ã“ã®2点をドラッグã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šãƒ“ジュアルã«æç”»é ˜åŸŸã‚’æ±ºã‚られる。 + +ã—ã‹ã—，ã“ã‚Œã¨ã¯åˆ¥ã«å‡ºåŠ›ç¯„囲をè¨å®šã—ãŸã„å ´åˆã«ã“ã®é–¢æ•°ã‚’用ã„る。 + +ã¾ãŸï¼Œè¡¨ã‚’作æˆã—ãŸã¨ãã¯ï¼Œè¡¨ã®ç¯„囲ãŒå‡ºåŠ›ç¯„囲ã¨ã—ã¦å„ªå…ˆã•ã‚Œã‚‹ï¼ˆTabledata()を実行ã—ãŸã¨ã）ã®ã§ï¼Œè¡¨å¤–ã«å›³ã‚’æã„ãŸå ´åˆã¯ï¼Œæœ€å¾Œã«ã“ã®é–¢æ•°ã§å‡ºåŠ›ç¯„囲を指定ã—ã¦æ›¸ã出ã™ã€‚ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -例：端点をA,Bã¨ã—，スライダã®ç‚¹ã‚’Cã¨ã—ã¦ï¼ŒAã®ä½ç½®ã‚’[0,2]，Bã®ä½ç½®ã‚’[8,2]ã¨ã—ã¦ã‚¹ãƒ©ã‚¤ãƒ€ã‚’作る。 -\begin{verbatim} -　　　　Slider("A-C-B",[0,2],[8,2]); -\end{verbatim} -　スライダã«ã‚ˆã‚Šå–å¾—ã—ãŸã„値ã¯ï¼Œç‚¹Cã®åº§æ¨™ï¼ˆãŸã¨ãˆã° C.x）を利用ã™ã‚‹ã€‚ -　\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} \end{description} \newpage -%第５節ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ +%ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ æç”» ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ \subsection{æç”»} +\subsubsection{書å¼ã¨ã‚ªãƒ—ション} + +æ画関数ã¯æ›²ç·šãªã©ã‚’作図ã™ã‚‹é–¢æ•°ã§ã‚る。 + +基本的ãªæ›¸å¼ã¯ + +\hspace{20mm} 関数å(name , 点リストãªã© , options); + +ã§ã‚る。 + +nameã¯ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å称ã§ï¼Œé–¢æ•°ã”ã¨ã«æ±ºã‚られãŸé 部ã®ã‚ã¨ã«ä»˜ã‘られる。ãŸã¨ãˆã°ï¼Œç·šåˆ†ã‚’æã Listplot() ã§ã§ãるプãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ï¼Œé 部ãŒ"sg"ã§ã‚り，nameã‚’"1"ã¨ã™ã‚Œã°ï¼Œ"sg1" ã¨ã„ã†å称ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ãŒã§ãる。name指定ã¯ä¸è¦ã®å ´åˆã‚‚ã‚り，ãã®å ´åˆã¯ \ketcindy ãŒè‡ªå‹•çš„ã«å称を作æˆã™ã‚‹ã€‚ + +点リストãªã©ã«ã¯ï¼Œç‚¹ã®åº§æ¨™ï¼Œç‚¹ã®è˜åˆ¥å，複数ã®ç‚¹ã®ãƒªã‚¹ãƒˆï¼Œè¤‡æ•°ã®ç‚¹ã‚’示ã™æ–‡å—列ãªã©ãŒã‚り，関数ã«ã‚ˆã£ã¦ç•°ãªã‚‹ã€‚点ã¯Cinderellaã§ä½œå›³ã—ãŸå¹¾ä½•è¦ç´ ã®ç‚¹ã‚’利用ã§ãる。 + +optionsã¯ï¼Œç·šç¨®ãƒ»è¡¨ç¤ºã™ã‚‹æ–‡å—列・解åƒåº¦ãƒ»å‡ºåŠ›ã®æœ‰ç„¡ãªã©ã‚’指定ã™ã‚‹ã‚ªãƒ—ション群。 + + 線種ã¯ã¤ãŽã®4通り。 åˆæœŸè¨å®šã¯å®Ÿç·šã€‚ -æ画関数ã¯æ›²ç·šãªã©ã‚’作図ã™ã‚‹é–¢æ•°ã§ã‚る。\\ -　基本的ãªæ›¸å¼ã¯\\ -　　　関数å(name , 点リストãªã© , options);\\ -ã§ã‚ã‚‹ãŒï¼Œnameã®ä¸è¦ãªã‚‚ã®ã‚‚ã‚る。\\ -　nameã¯ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å称を指定ã™ã‚‹ã‚‚ã®ã§ï¼Œé–¢æ•°ã”ã¨ã«æ±ºã‚られãŸé 部ã®ã‚ã¨ã«ä»˜ã‘られる。nameãŒä¸è¦ã®å ´åˆã¯ \ketcindy ãŒè‡ªå‹•çš„ã«å称を作æˆã™ã‚‹ã€‚\\ -　点リストãªã©ã¯ï¼Œç‚¹ã®åº§æ¨™ï¼Œç‚¹ã®è˜åˆ¥å，複数ã®ç‚¹ã®ãƒªã‚¹ãƒˆï¼Œè¤‡æ•°ã®ç‚¹ã‚’示ã™æ–‡å—列ãªã©ãŒã‚り，関数ã«ã‚ˆã£ã¦ç•°ãªã‚‹ã€‚点ã¯Cinderellaã§ä½œå›³ã—ãŸå¹¾ä½•è¦ç´ ã®ç‚¹ã‚’利用ã§ãる。\\ -　\\ -　optionsã¯ï¼Œç·šç¨®ãƒ»è¡¨ç¤ºã™ã‚‹æ–‡å—列・解åƒåº¦ãƒ»å‡ºåŠ›ã®æœ‰ç„¡ãªã©ã‚’指定ã™ã‚‹ã‚ªãƒ—ション群。 \begin{tabbing} -1234567890123\=\kill -　線種ã¯ã¤ãŽã®ï¼”通り。デフォルトã¯å®Ÿç·šã€‚\\ -　　"dr, n"　　 \>太ã•nã®å®Ÿç·šã§æã。Scilab ã®ãƒ•ã‚¡ã‚¤ãƒ«ã« Drwline() を出力ã™ã‚‹ã€‚\\ -　　"da,m,n"　\>ç ´ç·šã‚’æã。Scilab ã®ãƒ•ã‚¡ã‚¤ãƒ«ã« Dashline() を出力ã™ã‚‹ã€‚\\ -　　　　　　　　\> mã¯ç ´ç·šã®é•·ã•ï¼Œnã¯ç ´ç·šã®é–“隔　(m,nã¯çœç•¥å¯)\\ -　　　　　　　　\>m,n オプションã¯Cinderellaã®æç”»é¢ã«ã¯åæ˜ ã•ã‚Œãªã„。\\ -　　"id,m,n"　\>ギャップã‹ã‚‰ã¯ã˜ã¾ã‚‹ç ´ç·šã‚’æã。Scilab ã®ãƒ•ã‚¡ã‚¤ãƒ«ã« Invdashline() を出力ã™ã‚‹ã€‚\\ -　　"do,m,n"　\>点線ã§æã。Scilab ã®ãƒ•ã‚¡ã‚¤ãƒ«ã« Dottedline() を出力ã™ã‚‹ã€‚\\ -　　　　　　　　\>mã¯ç‚¹ã®é–“隔，nã¯å¤ªã•ã€€(m,nã¯çœç•¥å¯)\\ -　æ画色指定ã¯ï¼ŒRGBã¾ãŸã¯CMYKã®ãƒªã‚¹ãƒˆã§æŒ‡å®šã™ã‚‹ã‹ï¼Œè‰²åを用ã„る。\\ -　　例：\verb|"Color=[0,0.7,0]"| ã§æš—ã„ç·‘ã«ãªã‚‹ã€‚\\ -　出力ã®æœ‰ç„¡ã¯\\ -　　"notex"　\>Cinderellaç”»é¢ä¸Šã§è£œåŠ©ç·šã¨ã—ã¦ç”¨ã„ãŸå›³å½¢ã‚’Scilabã«å‡ºåŠ›ã—ãªã„\\ -　　"nodisp" \>Cinderellaç”»é¢ä¸Šã«ã‚‚出力ã—ãªã„\\ - -　　　"nodisp"ã¯ç”»é¢ä¸Šã«ã‚‚，Scilabã¸ã®ãƒ‡ãƒ¼ã‚¿ã«ã‚‚出力ã•ã‚Œãªã„ãŒï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ä½œæˆã•ã‚Œï¼Œ\\ -　　　ãれを戻り値ã¨ã™ã‚‹ã®ã§ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã ã‘を利用ã—ãŸã„å ´åˆã«æœ‰åŠ¹ã§ã‚る。\\ -　　　例　\verb|pdata=Circledata([A,B],["nodisp"]);|\\ -　　　　ã¨ã—ã¦ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ pdata を処ç†ã™ã‚‹ã€‚\\ +1234\=5678901234567\=\kill + \> "dr, n" \>太ã•nã®å®Ÿç·šã§æã。\\ + \> "da,m,n" \>ç ´ç·šã‚’æã。\\ + \> \> mã¯ç ´ç·šã®é•·ã•ï¼Œnã¯ç ´ç·šã®é–“éš” (m,nã¯çœç•¥å¯)\\ + \> \>m,n オプションã¯Cinderellaã®æç”»é¢ã«ã¯åæ˜ ã•ã‚Œãªã„。\\ + \> "id,m,n" \>ギャップã‹ã‚‰ã¯ã˜ã¾ã‚‹ç ´ç·šã‚’æã。\\ + \> "do,m,n" \>点線ã§æã。\\ + \> \>mã¯ç‚¹ã®é–“隔，nã¯å¤ªã• (m,nã¯çœç•¥å¯) \end{tabbing} -\newpage +æ画色指定ã¯ï¼ŒRGBã¾ãŸã¯CMYKã®ãƒªã‚¹ãƒˆã§æŒ‡å®šã™ã‚‹ã‹ï¼Œè‰²åを用ã„る。 + +\hspace{10mm}ã€ä¾‹ã€‘\verb|"Color=[0,0.7,0]"| ã§æš—ã„ç·‘ã«ãªã‚‹ã€‚ + +出力ã®æœ‰ç„¡ã¯ +\begin{tabbing} + 1234\=567890123\=\kill + \> "notex" \>Cinderellaç”»é¢ä¸Šã®å›³å½¢ã‚’出力ã—ãªã„\\ + \> "nodisp" \>Cinderellaç”»é¢ä¸Šã«ã‚‚出力ã—ãªã„ + \end{tabbing} + + "nodisp"ã¯ç”»é¢ä¸Šã«ã‚‚，Ｒã¸ã®ãƒ‡ãƒ¼ã‚¿ã«ã‚‚出力ã•ã‚Œãªã„ãŒï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ä½œæˆã•ã‚Œã‚‹ã®ã§ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã ã‘を利用ã—ãŸã„å ´åˆã«æœ‰åŠ¹ã§ã‚る。 + +\hspace{10mm}ã€ä¾‹ã€‘ \verb|pdata=Circledata([A,B],["nodisp"]);| + +ã¨ã—ã¦ï¼Œå¾Œã«ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ pdata を利用ã™ã‚‹ã€‚ + +ãã®ä»–，次ã®ã‚ˆã†ãªã‚ªãƒ—ションãŒã‚る。 +\begin{tabbing} + 1234\=567890123\=\kill + \> "Size=n" \>点ã®å¤§ãã•ï¼Œç·šã®å¤ªã•ã®æŒ‡å®š\\ + \> "Num=n" \>曲線ã®å ´åˆã®åˆ†å‰²æ•°ï¼ˆãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å€‹æ•°+1）\\ +\end{tabbing} + +%ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ 点・直線 ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ +\subsubsection{点・線分・直線} \begin{description} -\hypertarget{anglemark}{} -\item[関数]　Anglemark(点リスト , options) -\item[機能]　点リスト[A,B,C]ã§ç¤ºã•ã‚ŒãŸè§’ã«å¼§ã®å½¢çŠ¶ã®è§’ã®å°ã‚’ã¤ã‘る。 -\item[説明]　optionsã¯æ¬¡ã®é€šã‚Šã€‚\\ -　　数値　　　角ã®å°ã®å¤§ãã•ã€‚デフォルトã¯ï¼‘\\ -　　線種　　　"dr, n" , "da,m,n" , "do,m,n"\\ -　　"Expr=æ–‡å—" : æ–‡å—を入れる\\ -　　"Expr=ä½ç½® , æ–‡å—" : ä½ç½®ã‚’指定ã—ã¦æ–‡å—を入れる。ä½ç½®ã¯é ‚点ã‹ã‚‰ã®è·é›¢ã€‚\\ +\vspace{\baselineskip} +\hypertarget{pointdata}{} +\item[関数] Pointdata(name , 点リスト , options) +\item[機能] 点ã®ãƒ‡ãƒ¼ã‚¿ã‚’作æˆã™ã‚‹ã€‚ +\item[説明] 与ãˆã‚‰ã‚ŒãŸåº§æ¨™ã®ç‚¹ãƒ‡ãƒ¼ã‚¿ã‚’作æˆã™ã‚‹ã€‚オプションã¯"Size=","Color="。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘ -例：三角形ã®å†…角ã«å°ã‚’ã„れ，文å—を書ã込む。 +(1) 座標指定ã§2ã¤ã®ç‚¹ãƒ‡ãƒ¼ã‚¿ã‚’作る。 + +\hspace{10mm} \verb|Pointdata("1",[[1,2],[-2,3]]);| + +(2) 作図ã—ãŸç‚¹A,Bã«ã¤ã„ã¦ï¼Œç‚¹ãƒ‡ãƒ¼ã‚¿ã‚’作る。 + +\hspace{10mm} \verb|Pointdata("1",[A,B]);| + +\hspace{5mm}A,BãŒä½œå›³ã•ã‚Œã¦ã„ãªã„å ´åˆã¯ä½œæˆã•ã‚Œãªã„。 + +\hspace{5mm}Cinderellaã®æç”»é¢ä¸Šã§ã¯æ—¢å˜ã®ç‚¹A,Bã«é»’ã®ç‚¹ãŒé‡ãªã£ã¦è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ + +(3) Aã®ä½ç½®ã«å¤§ãã•4ã§ç‚¹ã‚’作る。 + +\hspace{10mm} \verb|Pointdata("1",A,["size=4"]);| + +(4) 点データを作り，TeXã«ã‚ªãƒ—ション0（白抜ã）ã§æã + +\hspace{10mm} \verb|Pointdata("1",[A,B],[0]);| + +(5) 点データを作るãŒï¼ŒTeXã«ã¯å‡ºåŠ›ã—ãªã„ + +\hspace{10mm} \verb|Pointdata("1",[[3,4],[5,6]],["notex"]);| + +(6) 点データを作るãŒï¼ŒTeXã«ã¯å‡ºåŠ›ã›ãšç”»é¢ä¸Šã«ã‚‚表示ã—ãªã„。 + +\hspace{10mm} \verb|Pointdata("1",[[3,4],[5,6]],["nodisp"]);| + +(7) 節点を明示ã—ãŸæœ¨ã‚’æã \begin{verbatim} -　　　Listplot([A,B,C,A]); -　　　Letter([A,"n1","A",B,"w1","B",C,"e1","C"]); -　　　Anglemark([B,A,C]); -　　　Anglemark([C,B,A],["Expr=\theta"]); -　　　Anglemark([A,C,B],[2,"dr,3","Expr=2,\alpha"]); + Ptsize(3); + Pointdata("1",[[1,2],[3,4],[5,2]]); + Listplot("1",[[0,0],[1,2],[3,4],[5,2],[4,0]]); + Listplot("2",[[1,2],[2,0]]); + Listplot("3",[[5,2],[6,0]]); \end{verbatim} -　\input{Fig/anglemark} + + \begin{center} \input{Fig/pointdata} \end{center} -※角ã®å°ã«ã¯å¹³è¡Œå››è¾ºå½¢ã®å½¢çŠ¶ã®ã‚‚ã®ã‚‚ã‚る。Paramark() ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ +注) 幾何点ã®æœ‰ç„¡ãªã©ï¼Œä»˜éŒ²ã®ã€Œ\hyperlink{mkpttable}{点ã®ä½œå›³ã«ã¤ã„ã¦ã®æ¯”較表}ã€ã‚’å‚ç…§ã®ã“ã¨ã€‚ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\hypertarget{arrowdata}{} -\item[関数]　Arrowdata(name,[始点 , 終点] , options) -\item[機能]　2点間をçµã¶çŸ¢ç·šã‚’æã。プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åã®é 部㯠ar -\item[説明]　name ã¯ï¼Œåº§æ¨™ã‚’数値ã§ä¸Žãˆã‚‹ã¨ãã«å¿…è¦ã€‚幾何è¦ç´ ã®è˜åˆ¥åã§ä¸Žãˆã‚‹ã¨ãã¯ãªãã¦ã‚‚よã„。\\ -　optionsã¯çŸ¢ã˜ã‚Šã®å½¢çŠ¶ãªã©ã®æŒ‡å®šã§\\ -　　[ 矢ã˜ã‚Šã®å¤§ãã•, é–‹ã角, 矢ã˜ã‚Šä½ç½®, 線種,ç·šã®è¡¨ç¤ºè‰²] -　ã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚\\ -　開ã角ã¯60分法ã§ä¸Žãˆã‚‹ã€‚ãŸã ã—，° ã¯ã¤ã‘ãªã„。5未満ã®æ™‚ã¯18°ã®å€æ•°æŒ‡å®šã¨ã™ã‚‹ã€‚\\ -　矢ã˜ã‚Šä½ç½®ã¯ï¼Œç·šåˆ†ã®é•·ã•ã‚’１ã¨ã—ãŸå§‹ç‚¹ã‹ã‚‰ã®è·é›¢ã€‚\\ -　ãŸã ã—，Cinderellaã®ç”»é¢ä¸Šã«ã¯å…¨ã¦ã¯åæ˜ ã•ã‚Œãªã„。ãŸã¨ãˆã°ï¼Œå¤ªã•æŒ‡å®šã‚’ã—ã¦ã‚‚太ã•ã¯åŒã˜ã€‚\\ - -　例：線分ABを矢線ã«ã™ã‚‹ã€‚\\ -　　　　\verb|Arrowdata([A,B]);|\\ -　　　始点ãŒ(2,0) , 終点ãŒ(4,3) ，開ã角45°，EFã®ä¸ç‚¹ã«çŸ¢ã˜ã‚Šã®å…ˆç«¯\\ -　　　　\verb|Arrowdata("1",[[2,0],[4,3]],[1,45,0.5]);|\\ -　　　大ãã•ï¼’，太ã•ï¼’\\ -　　　　\verb|Arrowdata([C,D],[2,1,1,"dr,2"]);|\\ -ã€€ã€€ã€€ç ´ç·šã§å¤ªã•0.5\\ -　　　　\verb|Arrowdata([E,F],["da,0.5"]);|\\ -　　　少ã—é–“ãŒç©ºã„ã¦å¤ªã„点線ã§ï¼ŒCinderellaã®ç”»é¢ä¸Šã§ã¯èµ¤ã§è¡¨ç¤ºã™ã‚‹ã€‚\\ -　　　　\verb|Arrowdata([G,H],[2,1,"do,2,3","color-$>$[1,0,0]"]);| \\ - -　　　\input{Fig/arrowdata}\\ -\\ +\vspace{\baselineskip} +\hypertarget{drwpt}{} +\item[関数] Drwpt(点,option）, Drawpoint(点,options) +\item[機能] 点を表示ã™ã‚‹ +\item[説明] 座標ã¾ãŸã¯å¹¾ä½•ç‚¹ã®è˜åˆ¥åを与ãˆã¦ç‚¹ã‚’表示ã™ã‚‹ã€‚ã“ã‚Œã ã‘ã§ã¯Cinderellaã®æç”»é¢ã«ã¯æã‹ã‚Œãªã„ã®ã§ï¼Œæç”»é¢ã«ã‚‚表示ã™ã‚‹ã«ã¯Cinderellaã®ä½œå›³ãƒ„ールã§ä½œå›³ã™ã‚‹ã‹ï¼ŒPointdata() ã¾ãŸã¯ Putpoint() を用ã„る。 -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +複数ã®ç‚¹ã®å ´åˆã¯åº§æ¨™ã¾ãŸã¯è˜åˆ¥åã¯ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚ + +optionã«æ•°å— 0 を入れるã¨ï¼Œç™½æŠœãã§è¡¨ç¤ºã™ã‚‹ã€‚ãªãŠç™½æŠœãã®å ´åˆã¯ï¼ŒPtsize()ã§ç‚¹ã®å¤§ãã•ã‚’å°‘ã—大ãã‚ã«ã¨ã‚‹ã¨ã‚ˆã„。 + +å¯èªæ€§ã‚’高ã‚ã‚‹ã¨ãã¯Drawpointを推奨ã™ã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘座標(1,1)ã¨(4,3)ã«ç‚¹ã‚’表示ã™ã‚‹ã€‚Cinderellaã®æç”»é¢ã«ã¯æã‹ã‚Œãªã„。 + +\hspace{10mm} \verb|Drwpt([[1,1],[4,3]]);| + +\vspace{\baselineskip} +ã€ä¾‹ã€‘Cinderellaã§ç‚¹A,B,Cを作図ã—ã¦ãŠã，\TeX ã§è¡¨ç¤ºã™ã‚‹ã€‚ + +\hspace{10mm} \verb|Drwpt([A,B,C]); | + +\vspace{\baselineskip} +ã€ä¾‹ã€‘線分ABã®å³ç«¯ï¼ˆB）を白抜ãã§è¡¨ç¤ºã™ã‚‹ -\hypertarget{arrowhead}{} -\item[関数]　Arrowhead(点 , æ–¹å‘ , options) , Arrowhead(点 , プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿,options) -\item[機能]　点ã«çŸ¢ã˜ã‚Šã ã‘ã‚’æã -\item[説明]　指定ã•ã‚ŒãŸä½ç½®ã«ï¼ŒæŒ‡å®šã•ã‚ŒãŸæ–¹å‘ã‚’å‘ã„ãŸçŸ¢ã˜ã‚Šã ã‘ã‚’æã。\\ -　点ã¯åº§æ¨™ã¾ãŸã¯å¹¾ä½•è¦ç´ å。方å‘ã¯åŽŸç‚¹ã‹ã‚‰è¦‹ã¦åº§æ¨™[a,b]ã®æ–¹å‘。\\ -　options㯠[大ãã•ï¼ŒçŸ¢ã˜ã‚Šã®é–‹ã角，形状ã¨ä½ç½®] ã®ãƒªã‚¹ãƒˆã€‚\\ -　矢ã˜ã‚Šã®é–‹ã角ã¯60分法ã§ç‰‡å´åŠåˆ†ã®è§’。\\ -　形状ã¯ï¼Œ "f" ：塗りã¤ã¶ã—ã®ä¸‰è§’形（デフォルト）ã¾ãŸã¯ã€€" l " ： ラインã®ã¿ã€‚\\ -　ä½ç½®ã¯ï¼Œ"t"（デフォルト）ã¾ãŸã¯ "c" , "b"\\ -　　 "t" ã¯çŸ¢ã˜ã‚Šã®å…ˆç«¯ãŒçµ‚点ã«ä¸€è‡´ï¼Œ"c" ã¯ä¸‰è§’å½¢ã®ä¸å¿ƒãŒçµ‚点ã¨ä¸€è‡´ï¼Œ"b" ã¯çµ‚点ãŒçŸ¢ã˜ã‚Šã®åº•è¾ºã«ã®ã‚‹ã€‚\\ -　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’指定ã—ãŸã¨ãã¯ï¼Œæ›²ç·šä¸Šã®ç‚¹ã«çŸ¢ã˜ã‚Šã‚’ã¤ã‘る。\\ -　曲線ã«ã¯å‘ããŒã‚り，ãã‚Œã«ã‚ˆã£ã¦çŸ¢ã˜ã‚Šã®å‘ããŒæ±ºã¾ã‚‹ã€‚" Invert(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿) " ã¨ã™ã‚‹ã¨å対å‘ãã®çŸ¢ã˜ã‚Šã«ãªã‚‹ã€‚\\ -　曲線ã®å‘ãã¨ã¯ï¼Œæ›²ç·šã‚’æãã¨ãã®é †åºã§ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®é †åºã§ã‚‚ã‚る。invert() ã¯ã“ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’é€†é †ã«ã™ã‚‹ã‚‚ã®ã§ã‚る。\\ - -例： - -\vspace{-8mm} -\hspace{6mm} \begin{layer}{150}{0} -\putnotese{0}{0}{点 A ãŒä¸‹å›³ã®ä½ç½®ã®ã¨ã} -\putnotese{0}{8}{\input{Fig/ForRef-Arrowhead-1}} -\putnotese{40}{0}{(ã‚¢) Arrowhead(A,[-1,1]);} -\putnotese{40}{7}{(イ) Arrowhead([1,1],[-1,1],[2,60]);} -\putnotese{40}{14}{(ウ) Arrowhead(A,[-1,1],[2,30,"b"]);} -\putnotese{40}{21}{(エ) Arrowhead([1,1],[-1,1],[2,20,"lc"]);} +\putnotese{50}{8}{ \input{Fig/drawpoint}} \end{layer} +\begin{verbatim} + Ptsize(5); + Listplot([A,B]); + Drawpoint(B,0); +\end{verbatim} + +※ Drawpoint([A,B],0); ã¨ã™ã‚Œã°ï¼Œä¸¡ç«¯ãŒç™½æŠœãã«ãªã‚‹ã€‚ + +\vspace{\baselineskip} +{\bf 点ã®è¡¨ç¤ºæ–¹æ³•} + +点を表示ã™ã‚‹é–¢æ•°ã¯ã„ãã¤ã‹ã‚る。Cinderellaã®æç”»é¢ä¸Šã«å˜ã«ç‚¹ã‚’表示ã™ã‚‹ã‚‚ã®ï¼Œå¹¾ä½•ç‚¹ã‚’作るもã®ï¼ŒTeXã«å‡ºåŠ›ã™ã‚‹ãŸã‚ã®ã‚‚ã®ï¼Œã¨å°‘ã—ãšã¤æ„味ãŒç•°ãªã‚‹ã€‚ + +付録ã®ã€Œ\hyperlink{mkpttable}{点ã®ä½œå›³ã«ã¤ã„ã¦ã®æ¯”較表}ã€ã‚’å‚ç…§ã®ã“ã¨ã€‚ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\vspace{\baselineskip} +\hypertarget{putpoint}{} +\item[関数] Putpoint(点å , 座標１ ,座標2 ) +\item[機能] 点を作る +\item[説明] è˜åˆ¥åãŒç‚¹åã®ç‚¹ã‚’，既å˜ã§ãªã‘ã‚Œã°åº§æ¨™ï¼‘ã«ä½œã‚‹ã€‚æ—¢å˜ãªã‚‰ã°åº§æ¨™2ã«ç§»å‹•ã™ã‚‹ã€‚Texã«ã¯å‡ºåŠ›ã•ã‚Œãªã„。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘点Aを作る。 + +(1,1) ã«å›ºå®šç‚¹Aを作る。 ã“ã®ç‚¹ã¯å‹•ã‹ã™ã“ã¨ãŒã§ããªã„。 + +\hspace{10mm} \verb|Putpoint("A",[1,1]);| + + (1,1)ã«è‡ªç”±ç‚¹ã‚’作るã«ã¯æ¬¡ã®ã‚ˆã†ã«ã™ã‚‹ã€‚ + +\hspace{10mm} \verb|Putpoint("A",[1,1],[A.x,A.y]);| + + ã“ã®ç‚¹ã¯åº§æ¨™2ã®åŠ¹æžœã«ã‚ˆã‚Šï¼Œè‡ªç”±ç‚¹ã¨ãªã‚Šï¼Œãƒ‰ãƒ©ãƒƒã‚°ã—ã¦å‹•ã‹ã™ã“ã¨ãŒã§ãる。 + +\vspace{\baselineskip} +注）点åã¯åŠè§’アルファベットã¨ã™ã‚‹ã€‚æ•°å—ã‚„æ¼¢å—ã§ã‚‚Cinderellaã§ã¯ç‚¹ãŒã§ãã‚‹ãŒï¼ŒRã§ã‚¨ãƒ©ãƒ¼ã¨ãªã‚‹ã€‚ + +\vspace{\baselineskip} +\hypertarget{putintersect}{} +\item[関数] Putintersect(点å , PD1 , PD2 , [No] ) +\item[機能] 2曲線ã®äº¤ç‚¹ã‚’作る +\item[説明] PD1,PD2ã¯2曲線ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿å。作æˆã•ã‚Œã‚‹ç‚¹ã¯å¹¾ä½•ç‚¹ã€‚ + +æ画範囲ã«äº¤ç‚¹ãŒï¼‘ã¤ã ã‘ã®ã¨ã，第4引数ãŒãªãã¦ã‚‚交点ãŒä½œã‚‰ã‚Œã‚‹ã€‚ + +æ画範囲ã«2ã¤ä»¥ä¸Šã®äº¤ç‚¹ãŒã‚ã‚‹å ´åˆï¼Œç¬¬4引数をçœç•¥ã™ã‚‹ã¨ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«äº¤ç‚¹ã®åº§æ¨™ã®ãƒªã‚¹ãƒˆã¨ï¼Œã€ŒChoose point number ã€ã¨ã„ã†ã‚¬ã‚¤ãƒ‰ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ãã“ã§ï¼Œå¼•æ•°ã®Noã¨ã—ã¦ï¼Œãã®ç•ªå·ã‚’指定ã™ã‚‹ã¨ï¼Œãã®ç‚¹ãŒä½œã‚‰ã‚Œã‚‹ã€‚ã“ã®é–¢æ•°ã§ä½œæˆã•ã‚Œã‚‹ã®ã¯å¹¾ä½•ç‚¹ã ã‘ãªã®ã§ï¼Œ\TeX ã®å›³ã«ç‚¹ã¨ã—ã¦æ˜Žç¤ºã™ã‚‹ãŸã‚ã«ã¯Pointdata()ã§æ›¸ã出ã™ã€‚ + +次ã®ä¾‹ã¯ï¼Œ3次曲線ã¨ç›´ç·šã®äº¤ç‚¹ã‚’3ã¤ã¨ã‚‚å–ã£ãŸã‚‚ã®ã§ã‚る。 -\vspace{2mm} -\hspace{6mm} \begin{layer}{150}{0} -\putnotese{0}{0}{\input{Fig/ForRef-Arrowhead-ya1}} -\putnotese{95}{55}{D ã®åº§æ¨™ãŒã‚ã‹ã‚Œ} -\putnotese{95}{60}{ã°ï¼Œãã‚Œã§ã‚‚よã„} -\putnotese{12}{27}{(ã‚¢)} -\putnotese{42}{27}{(イ)} -\putnotese{72}{27}{(ウ)} -\putnotese{102}{27}{(エ)} -\putnotese{0}{30}{\input{Fig/ForRef-Arrowhead-2}} -\putnotese{30}{30}{\input{Fig/ForRef-Arrowhead-3}} -\putnotese{60}{30}{\input{Fig/ForRef-Arrowhead-4}} -\putnotese{90}{30}{\input{Fig/ForRef-Arrowhead-5}} +\putnotese{80}{5}{ \input{Fig/putintersect}} \end{layer} -\vspace{56mm} -\hspace{6mm} +\begin{verbatim} + Plotdata("1","x^3-4*x","x",["Num=200"]); + Plotdata("2","1/2*x+1","x"); + Putintersect("P","gr1","gr2",1); + Putintersect("Q","gr1","gr2",2); + Putintersect("R","gr1","gr2",3); + Pointdata("1",[P,Q,R],["size=4"]); +\end{verbatim} + 交点ãŒå˜åœ¨ã—ãªã„å ´åˆã¯ï¼Œã€ŒNo intersect pointã€ãŒã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ + +\vspace{\baselineskip} +\hypertarget{putoncurve}{} +\item[関数] PutonCurve(点ã®åå‰, プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿, options) +\item[機能] 曲線上ã«ç‚¹ã‚’ä¹—ã›ã‚‹ã€‚ +\item[説明] 点ãŒå˜åœ¨ã—ãªã„å ´åˆã¯æ–°ãŸã«ä½œã‚‹ã€‚ã™ã§ã«ãã®ç‚¹ãŒå˜åœ¨ã™ã‚‹å ´åˆã¯ï¼Œãã®ç‚¹ã®$x$座標を使ã†ã€‚åˆæœŸå€¤ã®$x$座標㮠åˆæœŸè¨å®šã¯ 0。 + +optionsã¯ï¼Œ$x$座標ã®ç¯„囲をリストã§ä¸Žãˆã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘アステãƒã‚¤ãƒ‰ä¸Šã®å‹•ç‚¹P ã‚’ã¨ã‚‹ã€‚ +\begin{verbatim} + Paramplot("1","[2*cos(t)^3,2*sin(t)^3]","t=[0,2*pi]"); + PutonCurve("P","gp1",[-1,1]); +\end{verbatim} +点PãŒã‚¢ã‚¹ãƒ†ãƒã‚¤ãƒ‰ä¸Šã«ã§ã，ã“ã®ç‚¹ã¯ãƒ‰ãƒ©ãƒƒã‚°ã™ã‚‹ã¨ã‚¢ã‚¹ãƒ†ãƒã‚¤ãƒ‰ä¸Šã‚’ $-1 \leq x\leq 1$ ã®ç¯„囲ã§å‹•ã‹ã™ã“ã¨ãŒã§ãる。ãŸã ã—，-1,1ã®ä»˜è¿‘ã¯y座標ã®åˆ¤æ–ã®é–¢ä¿‚ã§ã´ã£ãŸã‚Šã¯ã„ã‹ãªã„。 + + \begin{center} \input{Fig/putoncurve.tex} \end{center} + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\vspace{\baselineskip} +\hypertarget{putonline}{} +\item[関数] PutonLine(点å , 座標１ ,座標2 ) +\item[機能] 直線上ã«ç‚¹ã‚’作る +\item[説明] 座標１，座標2を通る直線上ã«ç‚¹åã®ç‚¹ã‚’作る。ã§ããŸç‚¹ã¯ç›´ç·šã«å¯¾ã—ã¦ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã¨ãªã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘ 点A,\ Bを通る直線上ã«ç‚¹Pã‚’ã¨ã‚‹ã€‚ + + \verb|PutonLine("P",A,B);| + +\vspace{\baselineskip} +\hypertarget{putonseg}{} +\item[関数] PutonSeg(点å , 座標１ ,座標2 ) +\item[機能] 線分上ã«ç‚¹ã‚’作る +\item[説明] 座標１，座標2を通る線分上ã«ç‚¹åã®ç‚¹ã‚’作る。ã§ããŸç‚¹ã¯ç·šåˆ†ã«å¯¾ã—ã¦ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã¨ãªã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘ 点A,\ Bを通る線分上ã«ç‚¹Pã‚’ã¨ã‚‹ã€‚ + + \verb|PutonSeg("P",A,B);| + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\vspace{\baselineskip} +\hypertarget{reflectpoint}{} +\item[関数] Reflectpoint(点，対称点ã¾ãŸã¯å¯¾ç§°è»¸) +\item[機能] 点ã®é¡æ˜ ã®åº§æ¨™ã‚’è¿”ã™ã€‚ +\item[説明] 点を指定ã•ã‚ŒãŸç‚¹ã¾ãŸã¯è»¸ã«é–¢ã—ã¦å¯¾ç§°ç§»å‹•ã—ãŸç‚¹ã®åº§æ¨™ã‚’è¿”ã™ã€‚対称軸ã¯[ 点1, 点2 ]ã§æŒ‡å®š + +\vspace{\baselineskip} +ã€ä¾‹ã€‘点A〜Fを作図ã—ã¦ãŠã，C〜Fã‚’Aã®é¡æ˜ ã®ä½ç½®ã«é…ç½®ã™ã‚‹ã€‚ + \begin{layer}{150}{0} -\putnotese{0}{0}{曲線 crBC 上ã®ç‚¹ D ãŒ} -\putnotese{0}{5}{下図ã®ã‚ˆã†ãªã¨ã} -\putnotese{0}{7}{\input{Fig/ForRef-Arrowhead-6}} -\putnotese{16}{22}{crBC} -\putnotese{40}{0}{(オ) Arrowhead(D,"crBC");} -\putnotese{40}{7}{(ã‚«) Arrowhead(D,"crBC",[2]);} -\putnotese{40}{14}{(ã‚) Arrowhead(D,"crBC",[2,30,"l"]);} -\putnotese{40}{21}{(ク) Arrowhead(D,"Invert(crBC)");} +\putnotese{70}{10}{ \input{Fig/reflectpoint}} \end{layer} -\vspace{3mm} -\hspace{6mm} +\hspace{5mm} ï¼£ã¯Bã«é–¢ã—ã¦Aã¨å¯¾ç§°ãªç‚¹ + +\hspace{5mm} Ｄã¯ç‚¹(2,3)ã«é–¢ã—ã¦Aã¨å¯¾ç§°ãªç‚¹ + +\hspace{5mm} Eã¯ç‚¹(1,0) ã«é–¢ã—㦠(-1,1) ã¨å¯¾ç§°ãªç‚¹ + +\hspace{5mm} Fã¯ç›´ç·šCEã«é–¢ã—ã¦Aã¨å¯¾ç§°ãªç‚¹ + +\begin{verbatim} + C.xy=Reflectpoint(A,B); + D.xy=Reflectpoint(A,[[2,3]]); + E.xy=Reflectpoint([-1,1],[[1,0]]); + F.xy=Reflectpoint(A,[C,E]); + Lineplot([C,E],["do"]); +\end{verbatim} + +\vspace{\baselineskip} +注）é¡æ˜ ã¯Cinderellaã®ä½œå›³ãƒ„ールã§ã‚‚作æˆã™ã‚‹ã“ã¨ãŒã§ãã‚‹ã€‚å ´åˆã«ã‚ˆã£ã¦ã¯Cinderellaã§ä½œå›³ã™ã‚‹æ–¹ãŒç°¡æ˜Žã§ã‚る。 + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{\baselineskip} +\hypertarget{rotatepoint}{} +\item[関数] Rotatepoint(点 ，角度 , ä¸å¿ƒ) +\item[機能] 点ã®ä½ç½®ã‚’回転ã™ã‚‹ +\item[説明] 点を，ä¸å¿ƒã§ç¤ºã•ã‚ŒãŸç‚¹ã®å‘¨ã‚Šã«å›žè»¢ã—ãŸåº§æ¨™ã‚’è¿”ã™ã€‚角度ã¯å¼§åº¦æ³•ã§ä¸Žãˆã‚‹ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘点A〜Eã¯ä½œå›³ã—ã¦ãŠã，C〜Eã‚’ãã‚Œãžã‚Œã®ä½ç½®ã«é…ç½®ã™ã‚‹ã€‚ + \begin{layer}{150}{0} -\putnotese{12}{27}{(オ)} -\putnotese{42}{27}{(ã‚«)} -\putnotese{72}{27}{(ã‚)} -\putnotese{102}{27}{(ク)} -\putnotese{0}{28}{\input{Fig/ForRef-Arrowhead-7}} -\putnotese{30}{28}{\input{Fig/ForRef-Arrowhead-8}} -\putnotese{60}{28}{\input{Fig/ForRef-Arrowhead-9}} -\putnotese{90}{28}{\input{Fig/ForRef-Arrowhead-10}} +\putnotese{75}{10}{ \input{Fig/rotatepoint}} \end{layer} +\begin{spacing}{1.5} +点Cã¯Aを，Ｂã«é–¢ã—ã¦$\dfrac{2}{3}\pi $ã ã‘回転ã—ãŸç‚¹ + +点Dã¯ç‚¹(5,2)を，Ｂã«é–¢ã—ã¦$\dfrac{\pi}{3}$ ã ã‘回転ã—ãŸç‚¹ +\end{spacing} +点Eã¯ç‚¹(3,0)ã‚’Aã«é–¢ã—㦠$-\dfrac{\pi}{4} $ã ã‘回転ã—ãŸç‚¹ -\vspace{70mm} -\hypertarget{bezier}{} -\item[関数]　Bezier(åå‰ï¼Œç¯€ç‚¹ãƒªã‚¹ãƒˆï¼Œåˆ¶å¾¡ç‚¹ãƒªã‚¹ãƒˆï¼Œ[オプション] ) -\item[機能]　å˜ç‹¬ã®ãƒ™ã‚¸ã‚¨æ›²ç·šã‚’æã -\item[説明]　制御点ã¯ï¼Œå„区間ã«å¯¾ã—ã¦ï¼Œï¼“次ã®å ´åˆï¼’個，２次ã®å ´åˆï¼‘個ã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚ +\begin{verbatim} + C.xy=Rotatepoint(A,2*pi/3,B); + D.xy=Rotatepoint((5,2),pi/3,B); + E.xy=Rotatepoint([3,0],-pi/4,A); +\end{verbatim} +注）図ã®ç‚¹ç·šã¯ä½ç½®é–¢ä¿‚を示ã™ãŸã‚ã®ã‚‚ã®ã€‚ -　[ [F,G] , [H], ... ] +点åや座標ã¯ï¼Œå®Ÿéš›ã«ã¯Letter()関数ã§è¨˜è¿°ã™ã‚‹ã€‚ -オプション +\vspace{\baselineskip} +\hypertarget{scalepoint}{} +\item[関数] Scalepoint(点，比率ベクトル，ä¸å¿ƒ) +\item[機能] 点ã®ä½ç½®ã®æ‹¡å¤§ãƒ»ç¸®å°ã‚’行ㆠ+\item[説明] 点を，指定ã•ã‚ŒãŸä¸å¿ƒã‚’原点ã¨ã™ã‚‹åº§æ¨™ç³»ã§ï¼Œæ¯”率ベクトルã®åˆ†ã ã‘拡大・縮å°ã—ãŸä½ç½®ã®åº§æ¨™ã‚’è¿”ã™ã€‚ -"Num=..." : 節点間ã®åˆ†å‰²æ•°ï¼ˆåˆ†ç‚¹æ•° $-1$）を指定ã§ãる。（デフォルトã¯10） +\vspace{\baselineskip} +ã€ä¾‹ã€‘点A〜Fã¯ä½œå›³ãƒ„ールã§é©å½“ãªä½ç½®ã«ã¨ã£ã¦ãŠã。 -\vspace{5mm} +点Dを，点Aを原点をä¸å¿ƒã«æ¨ªã«3å€ï¼Œç¸¦ã«2å€ã—ãŸä½ç½®ã«ç½®ã。 + +点Eを，点Aを点Bã‚’ä¸å¿ƒã«æ¨ªã«3å€ï¼Œç¸¦ã«2å€ã—ãŸä½ç½®ã«ç½®ã。 + +点Fを，点Aを原点をä¸å¿ƒã«ãƒ™ã‚¯ãƒˆãƒ«$\overrightarrow{OC} $ã§ç¤ºã•ã‚ŒãŸæ¯”率ã®ä½ç½®ã«ç½®ã。 +\begin{verbatim} + D.xy=Scalepoint(A,[3,2],[0,0]); + E.xy=Scalepoint(A,[3,2],B); + F.xy=Scalepoint(A,C.xy,[0,0]); + Arrowdata("1",[[0,0],C]); + Pointdata("1",[A,B,C,D,E,F],["size=2"]); + Letter([A,"e2","A("+A.x+","+A.y+")"]); + Letter([B,"e2","B("+B.x+","+B.y+")"]); + Letter([C,"e2","C("+C.x+","+C.y+")"]); + Letter([D,"e2","D("+D.x+","+D.y+")"]); + Letter([E,"e2","E("+E.x+","+E.y+")"]); + Letter([F,"e2","F("+F.x+","+F.y+")"]); +\end{verbatim} +\vspace{\baselineskip} +\begin{center} \input{Fig/scalepoint} \end{center} + +点A,B,Cをドラッグã™ã‚‹ã¨ï¼Œã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ã«D,E,F ã®ä½ç½®ãŒå¤‰ã‚る。 + +\vspace{\baselineskip} +\hypertarget{translatepoint}{} +\item[関数] Translatepoint(点 , 移動ベクトル) +\item[機能] 点を平行移動ã™ã‚‹ +\item[説明] 点を移動ベクトルã§ç¤ºã•ã‚ŒãŸåˆ†ã ã‘平行移動ã—ãŸç‚¹ã®åº§æ¨™ã‚’返㙠+ +\vspace{\baselineskip} +ã€ä¾‹ã€‘点A〜Dã¯ä½œå›³ã—ã¦ãŠã。 + +点Cを点Aã‚’$x$軸方å‘ã«2 , $y$軸方å‘ã«3 + +ã ã‘平行移動ã—ãŸç‚¹ã«ã™ã‚‹ã€‚ + +点Dを点Aをベクトル$\overrightarrow{OB} $ã ã‘ + +平行移動ã—ãŸç‚¹ã«ã™ã‚‹ã€‚ +\begin{verbatim} + C.xy=Translatepoint(A,[2,3]); + D.xy=Translatepoint(A,B.xy); +\end{verbatim} + +\hspace{20mm} \input{Fig/translatepoint} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{arrowdata}{} +\item[関数] Arrowdata(name,[始点 , 終点] , options) +\item[機能] 2点間をçµã¶çŸ¢ç·šã‚’æã。 +\item[説明] name ã¯ï¼Œåº§æ¨™ã‚’数値ã§ä¸Žãˆã‚‹ã¨ãã«å¿…è¦ã€‚幾何è¦ç´ ã®è˜åˆ¥åã§ä¸Žãˆã‚‹ã¨ãã¯ãªãã¦ã‚‚よã„。 + +optionsã¯çŸ¢ã˜ã‚Šã®å½¢çŠ¶ãªã©ã®æŒ‡å®šã§ + +\hspace{10mm} [ 矢ã˜ã‚Šã®å¤§ãã•, é–‹ã角, 矢ã˜ã‚Šä½ç½®, 線種,ç·šã®è¡¨ç¤ºè‰²] -例： +ã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚ + +é–‹ã角ã¯60分法ã§ä¸Žãˆã‚‹ã€‚ãŸã ã—，° ã¯ã¤ã‘ãªã„。5未満ã®æ™‚ã¯18°ã®å€æ•°æŒ‡å®šã¨ã™ã‚‹ã€‚ + + 矢ã˜ã‚Šä½ç½®ã¯ï¼Œç·šåˆ†ã®é•·ã•ã‚’１ã¨ã—ãŸå§‹ç‚¹ã‹ã‚‰ã®è·é›¢ã€‚ + +ãŸã ã—，Cinderellaã®ç”»é¢ä¸Šã«ã¯å…¨ã¦ã¯åæ˜ ã•ã‚Œãªã„。ãŸã¨ãˆã°ï¼Œå¤ªã•æŒ‡å®šã‚’ã—ã¦ã‚‚ç”»é¢ä¸Šã§ã¯å¤ªã•ã¯åŒã˜ã€‚ + + トリミング : "Cutend=m" ã¾ãŸã¯ "Cutend=[m,n]" +å³è¾ºãŒæ•°ã®ã¨ãã¯ä¸¡ç«¯ã‚’mã ã‘カットã™ã‚‹ã€‚リストã®ã¨ãã¯å§‹ç‚¹ã‚’m,終点をnã ã‘カットã™ã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘線分ABを矢線ã«ã™ã‚‹ã€‚ + +\hspace{10mm} \verb|Arrowdata([A,B]);| + +始点ãŒ(2,0) , 終点ãŒ(4,3) ，開ã角45°，EFã®ä¸ç‚¹ã«çŸ¢ã˜ã‚Šã®å…ˆç«¯ + +\hspace{10mm} \verb|Arrowdata("1",[[2,0],[4,3]],[1,45,0.5]);| + +大ãã•2，太ã•2 + +\hspace{10mm} \verb|Arrowdata([C,D],[2,1,1,"dr,2"]);| + +ç ´ç·šã§å¤ªã•0.5 + +\hspace{10mm} \verb|Arrowdata([E,F],["da,0.5"]);| + + å°‘ã—é–“ãŒç©ºã„ã¦å¤ªã„点線ã§ï¼ŒCinderellaã®ç”»é¢ä¸Šã§ã¯èµ¤ã§è¡¨ç¤ºã™ã‚‹ã€‚ + +\hspace{10mm} \verb|Arrowdata([G,H],[2,1,"do,2,3","Color=[1,0,0]"]);| + +\hspace{20mm} \input{Fig/arrowdata} + +ã€ä¾‹ã€‘ï¼’ã¤ã®å††ã‚’矢線ã§çµã¶ã€‚ + \begin{layer}{150}{0} -\putnotese{50}{15}{bz1} -\putnotese{60}{-15}{\input{Fig/checkbe1}} +\putnotese{75}{0}{ \input{Fig/trimarrow}} \end{layer} +\hspace{20mm} + +\begin{verbatim} + Circledata("1",[A,A.xy+[0.5,0]]); + Circledata("2",[B,B.xy+[0.7,0]]); + Arrowdata([A,B],["Cutend=[0.5,0.7]"]); + Letter([A,"c","A",B,"c","B"]); +\end{verbatim} + Cinderellaã®ä½œå›³ãƒ„ールã§ï¼’点ABã‚’ã¨ã£ã¦ãŠã。 -２次ベジエ曲線 +円A,Bã®åŠå¾„ãŒåŒã˜ï¼ˆãŸã¨ãˆã°0.5）ã§ã‚ã‚Œã°ï¼Œ\verb|Arrowdata([A,B],["Cutend=0.5"]);| ã§ã‚ˆã„。 -Bezier("1",[A,B],[C]); +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{\baselineskip} +\hypertarget{arrowhead}{} +\item[関数] Arrowhead(点 , æ–¹å‘ , options) , Arrowhead(点 , プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿,options) +\item[機能] 点ã«çŸ¢ã˜ã‚Šã ã‘ã‚’æã +\item[説明] 指定ã•ã‚ŒãŸä½ç½®ã«ï¼ŒæŒ‡å®šã•ã‚ŒãŸæ–¹å‘ã‚’å‘ã„ãŸçŸ¢ã˜ã‚Šã ã‘ã‚’æã。 -\vspace{20mm} +点ã¯åº§æ¨™ã¾ãŸã¯å¹¾ä½•è¦ç´ å。方å‘ã¯åŽŸç‚¹ã‹ã‚‰è¦‹ã¦åº§æ¨™[a,b]ã®æ–¹å‘。 + +options㯠[大ãã•ï¼ŒçŸ¢ã˜ã‚Šã®é–‹ã角，形状ã¨ä½ç½®] ã®ãƒªã‚¹ãƒˆã€‚ + +矢ã˜ã‚Šã®é–‹ã角ã¯60分法ã§ç‰‡å´åŠåˆ†ã®è§’。 + +形状ã¯ï¼Œ "f" ：塗りã¤ã¶ã—ã®ä¸‰è§’形（ åˆæœŸè¨å®šï¼‰ã¾ãŸã¯ " l " ： ラインã®ã¿ã€‚ + +ãŸã ã—，塗りã¤ã¶ã—矢ã˜ã‚Šã¯ç”»é¢ä¸Šã§ã¯å¡—ã‚Šã¤ã¶ã—ã«ãªã‚‰ãªã„。 +ä½ç½®ã¯ï¼Œ"t"（ åˆæœŸè¨å®šï¼‰ã¾ãŸã¯ "c" , "b" +\begin{tabbing} +1234\=567890123\=\kill + \>"t" ã¯çŸ¢ã˜ã‚Šã®å…ˆç«¯ãŒçµ‚点ã«ä¸€è‡´\\ + \>"c" ã¯ä¸‰è§’å½¢ã®ä¸å¿ƒãŒçµ‚点ã¨ä¸€è‡´\\ + \>"b" ã¯çµ‚点ãŒçŸ¢ã˜ã‚Šã®åº•è¾ºã«ã®ã‚‹ã€‚ +\end{tabbing} +プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’指定ã—ãŸã¨ãã¯ï¼Œæ›²ç·šä¸Šã®ç‚¹ã«çŸ¢ã˜ã‚Šã‚’ã¤ã‘る。 + +曲線ã«ã¯å‘ããŒã‚り，ãã‚Œã«ã‚ˆã£ã¦çŸ¢ã˜ã‚Šã®å‘ããŒæ±ºã¾ã‚‹ã€‚" Invert(PD) " ã¨ã™ã‚‹ã¨å対å‘ãã®çŸ¢ã˜ã‚Šã«ãªã‚‹ã€‚ + +曲線ã®å‘ãã¨ã¯ï¼Œæ›²ç·šã‚’æãã¨ãã®é †åºã§ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®é †åºã§ã‚‚ã‚る。invert() ã¯ã“ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’é€†é †ã«ã™ã‚‹ã‚‚ã®ã§ã‚る。 + +\vspace{\baselineskip} + +ã€ä¾‹ã€‘ + +\vspace{\baselineskip} +%\hspace{6mm} +\begin{layer}{150}{0} +\putnotese{0}{0}{点 A ãŒå³å›³ã®ä½ç½®ã®ã¨ã} +\putnotese{80}{8}{\input{Fig/ForRef-Arrowhead-1}} +\putnotese{0}{7}{(ã‚¢) Arrowhead(A,[-1,1]);} +\putnotese{0}{14}{(イ) Arrowhead([1,1],[-1,1],[2,60]);} +\putnotese{0}{21}{(ウ) Arrowhead(A,[-1,1],[2,30,"b"]);} +\putnotese{0}{28}{(エ) Arrowhead([1,1],[-1,1],[2,20,"lc"]);} +\putnotese{0}{38}{(ã‚¢)} +\putnotese{30}{38}{(イ)} +\putnotese{60}{38}{(ウ)} +\putnotese{90}{38}{(エ)} +\putnotese{0}{45}{ \input{Fig/ForRef-Arrowhead-2}} +\putnotese{30}{45}{ \input{Fig/ForRef-Arrowhead-3}} +\putnotese{60}{45}{ \input{Fig/ForRef-Arrowhead-4}} +\putnotese{90}{45}{ \input{Fig/ForRef-Arrowhead-5}} +\end{layer} + +\vspace{75mm} +%\hspace{6mm} \begin{layer}{150}{0} -\putnotese{50}{20}{bzc} -\putnotese{60}{-10}{\input{Fig/checkbe2}} +\putnotese{0}{0}{曲線 crBC 上ã®ç‚¹ D ãŒå³å›³ã®ã‚ˆã†ãªã¨ã} +\putnotese{80}{8}{ \input{Fig/ForRef-Arrowhead-6}} +\putnotese{96}{22}{crBC} +\putnotese{0}{7}{(オ) Arrowhead(D,"crBC");} +\putnotese{0}{14}{(ã‚«) Arrowhead(D,"crBC",[2]);} +\putnotese{0}{21}{(ã‚) Arrowhead(D,"crBC",[2,30,"l"]);} +\putnotese{0}{28}{(ク) Arrowhead(D,"Invert(crBC)");} +\putnotese{0}{38}{(オ)} +\putnotese{30}{38}{(ã‚«)} +\putnotese{60}{38}{(ã‚)} +\putnotese{90}{38}{(ク)} +\putnotese{0}{45}{ \input{Fig/ForRef-Arrowhead-7}} +\putnotese{30}{45}{ \input{Fig/ForRef-Arrowhead-8}} +\putnotese{60}{45}{ \input{Fig/ForRef-Arrowhead-9}} +\putnotese{90}{45}{ \input{Fig/ForRef-Arrowhead-10}} \end{layer} -３次ベジエ曲線 +\vspace{70mm} -Bezier("c",[A,B],[C,D]); +\vspace{\baselineskip} +\hypertarget{lineplot}{} +\item[関数] Lineplot（name , 2点ã®ãƒªã‚¹ãƒˆ , options) +\item[機能] 2点ã®ãƒªã‚¹ãƒˆã§ç¤ºã•ã‚ŒãŸç‚¹ã‚’çµã¶ç›´ç·šã‚’æã。 +\item[説明] 2点ã®ãƒªã‚¹ãƒˆã¯åº§æ¨™ã¾ãŸã¯å¹¾ä½•è¦ç´ ã®åå‰ã§ä¸Žãˆã‚‹ã€‚ -\vspace{20mm} +options ã¯æ¬¡ã®é€šã‚Šã€‚ + +線種 "dr, n" , "da,m,n" , "do,m,n" + + "+" åŠç›´ç·šã‚’æã。 + +"dr" , "da" , "do" 㨠"+" ã¯ãƒªã‚¹ãƒˆã«ã—ã¦ä¸¡æ–¹æŒ‡å®šã™ã‚‹ã“ã¨ãŒã§ãる。 + +点ã®ãƒªã‚¹ãƒˆãŒï¼Œåº§æ¨™ã§ã¯ãªã幾何è¦ç´ åã®ãƒªã‚¹ãƒˆã®å ´åˆã¯ï¼Œnameã¯çœç•¥ã§ãる。 + +ã„ãã¤ã‹ä¾‹ã‚’示ã™ã€‚ + +\vspace{\baselineskip} +å„座標をçµã¶ç›´ç·šã‚’引ã + +\hspace{5mm} \verb|Lineplot("1",[[0,0],[1,2]])| + +Cinderellaã®æ画ツールã§2点A,Bã‚’ã¨ã£ã¦ãŠã，直線ABを引ã + +\hspace{5mm} \verb|Lineplot([A,B]);| + +optionã®åƒãã®ä¾‹ +\begin{tabbing} +1234\=56789012345678901234567890123456789\=\kill + \> \verb|Lineplot([A,B],["dr,0.5","+"]);| \>Aを端点ã¨ã™ã‚‹åŠç›´ç·šã‚’引ã\\ + \> \verb|Lineplot([C,D],["dr,2"]);| \>ç›´ç·šCDを太ã•2ã§æã\\ + \> \verb|Lineplot([E,F],["da"]);| \>ç›´ç·šEFã‚’ç ´ç·šã§æã\\ + \> \verb|Lineplot([G,H],["do"]);| \>ç›´ç·šGHを点線ã§æã +\end{tabbing} +çµæžœã¯ï¼Œæ¬¡å›³å·¦ä¸Šã‹ã‚‰ã€‚ + +\vspace{\baselineskip} +\hspace{20mm} \input{Fig/lineplot} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\vspace{\baselineskip} +\hypertarget{listplot}{} +\item[関数] Listplot（name , 点ã®ãƒªã‚¹ãƒˆ , options) +\item[機能] 点ã®ãƒªã‚¹ãƒˆã§ç¤ºã•ã‚ŒãŸç‚¹ã‚’çµã¶ã€‚ +\item[説明] 点ã®ãƒªã‚¹ãƒˆã¯åº§æ¨™ã¾ãŸã¯å¹¾ä½•è¦ç´ åã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚点ãŒï¼Œåº§æ¨™ã§ã¯ãªã幾何è¦ç´ åã®å ´åˆã¯ï¼Œnameã¯çœç•¥å¯ + +プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®åå‰ã¯ï¼Œ"sg" ã«å¼•æ•°ã® name ã‚’ä»˜åŠ ã—ãŸã‚‚ã®ã¨ãªã‚‹ã€‚ + + options ã¯æ¬¡ã®é€šã‚Šã€‚ + +線種 "dr, n" , "da,m,n" , "do,m,n" + +トリミング : "Cutend=m" ã¾ãŸã¯ "Cutend=[m,n]" + +æ•°ã®ã¨ãã¯ä¸¡ç«¯ã‚’mã ã‘カットã™ã‚‹ã€‚リストã®ã¨ãã¯å§‹ç‚¹ã‚’m,終点をnã ã‘カットã™ã‚‹ã€‚ + +\begin{tabbing} +1234567890123456789012345678901234\=\kill + optionsã®ä½¿ç”¨ä¾‹\\ + \verb|Listplot([A,B]);| \>線分ABã‚’æã。太ã•ã¯ åˆæœŸè¨å®šã€‚\\ + \verb|Listplot([C,D],["dr,2"]);| \>線分CDã‚’æã。太ã•2\\ + \verb|Listplot([E,F],["da"]);| \>線分EFã‚’ç ´ç·šã§æã\\ + \verb|Listplot([G,H],["da,3,1"]);| \>線分GHã‚’ç ´ç·šã§æã。線を長ã\\ + \verb|Listplot([K,L],["da,1,3"]);| \>線分KLã‚’ç ´ç·šã§æã。間隔を空ã‘ã‚‹\\ + \verb|Listplot([M,N],["do"]);| \>線分MNを点線ã§æã。\\ + \verb|Listplot([O,P],["do,3"]);| \>線分OPを点線ã§æã。間隔を空ã‘ã‚‹\\ + \verb|Listplot([Q,R],["do,3,3"]);| \>線分QRを点線ã§æã。間隔を空ã‘ã¦å¤ªã\\ +çµæžœã¯æ¬¡å›³å·¦ã‹ã‚‰ã€‚ +\end{tabbing} + \begin{center} \input{Fig/listplot3}\end{center} + +ã€ä¾‹ã€‘三角形をæã。 + + Cinderellaã®ä½œå›³ãƒ„ールã§ä¸‰è§’å½¢ABCã‚’æã„ã¦ãŠã。ã‚ã‚‹ã„ã¯ï¼Œå˜ã«3点A,B,Cã‚’ã¨ã‚‹ã ã‘ã§ã‚‚よã„。 \begin{layer}{150}{0} -\putnotese{50}{20}{bz3} -\putnotese{60}{-10}{\input{Fig/checkbe3}} +\putnotese{75}{0}{ \input{Fig/listplot1}} \end{layer} +\hspace{20mm} -ã¤ãªã’ã‚‹ +\begin{verbatim} + Addax(0); + Listplot([A,B,C,A]); +\end{verbatim} -Bezier("3",[A,B,C],[[D],[E,F]]); +点ã®ä½ç½®ã¯åº§æ¨™ã§æŒ‡å®šã—ã¦ã‚‚よã„。 -\vspace{20mm} +ãã®å ´åˆã¯ name ãŒå¿…è¦ã€‚ +\hspace{10mm} \verb|Listplot("1",[[0,0],[2,0],[1,2],[0,0]]);| + +\vspace{\baselineskip} +ã€ä¾‹ã€‘ï¼’ã¤ã®å††ã‚’線分ã§çµã¶ã€‚ + \begin{layer}{150}{0} -\putnotese{50}{20}{bzS} -\putnotese{60}{5}{\input{Fig/checkbe4}} +\putnotese{75}{0}{ \input{Fig/trimseg}} \end{layer} +\hspace{20mm} + +\begin{verbatim} + Circledata("1",[A,A.xy+[0.5,0]]); + Circledata("2",[B,B.xy+[0.7,0]]); + Listplot([A,B],["Cutend=[0.5,0.7]"]); + Letter([A,"c","A",B,"c","B"]); +\end{verbatim} + Cinderellaã®ä½œå›³ãƒ„ールã§ï¼’点ABã‚’ã¨ã£ã¦ãŠã。 -D,B,E を１直線上ã«ã¨ã‚‹ã¨ï¼Œæ»‘らã‹ã«ã¤ãªãŒã‚‹ +円A,Bã®åŠå¾„ãŒåŒã˜ã§ã‚ã‚Œã°ï¼Œ\verb|Listplot([A,B],["Cutend=0.5"]);| ã§ã‚ˆã„。 -Bezier("S",[A,B,C],[[D],[E,F]]); +\vspace{\baselineskip} +プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ç‚¹ã®åº§æ¨™ã®ãƒªã‚¹ãƒˆã§ã‚る。ã—ãŸãŒã£ã¦ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’自作ã—ã¦Listplot()ã§è¡¨ç¤ºã™ã‚‹ã“ã¨ãŒã§ãる。 -\vspace{25mm} +\vspace{\baselineskip} +ã€ä¾‹ã€‘有é™ãƒ•ãƒ¼ãƒªã‚¨ç´šæ•°å±•é–‹ + \[\cfrac{\pi}{2}+\sum_{n=0}^{30} \cfrac{1-(-1)^n}{n}\sin nx\] + +次ã®ã‚ˆã†ã«Cindyscriptã§é–¢æ•°ã‚’定義ã—，プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿pd を作ã£ã¦å¼•æ•°ã«æ¸¡ã™ã€‚ +\begin{verbatim} + f(x):=( + s=pi/2; + repeat(30,n,s=s+(1-(-1)|^n)/n*sin(n*x)); + ); + pd=apply(0..200,t, + x=-2*pi+t*4*pi/200; + [x,f(x)]; + ); + Listplot("1",pd); + Expr([[-2*pi,-0.5],"s","-2\pi",[-pi,-0.5],"s","-\pi",[pi,-0.5],"s", + "\pi",[2*pi,-0.5],"s","2\pi",[0,pi],"w2","\pi"]); +\end{verbatim} + +\vspace{\baselineskip} +\hspace{20mm}\input{Fig/fourier} + +\vspace{\baselineskip} + リストã®é•·ã•ã«ã¯åˆ¶é™ãŒã‚る。ãŸã¨ãˆã°ï¼Œã‚¿ãƒ¼ãƒˆãƒ«ã‚°ãƒ©ãƒ•ã‚£ã‚¯ã‚¹ã‚’用ã„ãŸã‚·ã‚§ãƒ«ãƒ”ンスã‚ーã®ã‚®ãƒ£ã‚¹ã‚±ãƒƒãƒˆã§ã¯200ãらã„ãšã¤ã®ãƒªã‚¹ãƒˆã«åˆ†å‰²ã™ã‚‹ã€‚ + + \hspace{20mm}\scalebox{0.9}{ \input{Fig/listplot2}} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\vspace{\baselineskip} +\hypertarget{mksegments}{} +\item[関数] Mksegments() +\item[機能] ã™ã¹ã¦ã®å¹¾ä½•ç·šåˆ†ã®PD ã‚’ä½œæˆ +\item[説明] Cinderellaã®ã€Œç·šåˆ†ã‚’åŠ ãˆã‚‹ã€ãƒ„ールã§æã„ãŸã™ã¹ã¦ã®ç·šåˆ†ã‚’ãã®ã¾ã¾ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¨ã™ã‚‹ã€‚ãŸã¨ãˆã°ï¼Œç·šåˆ†ABを作るã¨ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿sgABãŒä½œæˆã•ã‚Œã‚‹ã€‚ãã®å¾Œï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ç‚¹Bã®è˜åˆ¥åを変更（ãŸã¨ãˆã°Qã«ï¼‰ã™ã‚‹ã¨ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åも変更ã•ã‚Œã‚‹ã€‚線分ã¯ã™ã§ã«æã‹ã‚Œã¦ã„ã¦ã‚‚よã„。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘ç‰æ¯”数列ã®ä¾‹é¡Œ + +三角形ã®å„辺ã®ä¸ç‚¹ã‚’çµã‚“ã§ã§ãる三角形を次々ã«ä½œã£ã¦ã„ã，ç‰æ¯”数列ã®å›³ã‚’æã。 + +ã¾ãšã€Œç·šåˆ†ã‚’åŠ ãˆã‚‹ã€ãƒ„ールã§ä¸‰è§’å½¢ABCã‚’æã。 + +「ä¸ç‚¹ã‚’åŠ ãˆã‚‹ã€ãƒ„ールã§å„辺ã®ä¸ç‚¹ã‚’å–ã‚Šï¼Œã€Œç·šåˆ†ã‚’åŠ ãˆã‚‹ã€ãƒ„ールã§ä¸ç‚¹ã‚’çµã¶ã€‚ + +ã“れを繰り返ã™ã€‚\verb|Mksegments()| を書ã„ã¦ãŠã‘ã°ï¼Œ\verb|Listplot([A,B,C]| ãªã©ã‚’書ã‹ãªãã¦ã‚‚，作図ãŒã§ããŸæ™‚点ã§ï¼Œå›³ã®ãƒ‡ãƒ¼ã‚¿ãŒã§ãる。 + +\includegraphics[bb=0.00 0.00 438.02 327.02,width=5cm]{Fig/gpro01.pdf} \input{Fig/gpro02} + +\vspace{\baselineskip} +\hypertarget{framedata}{} +\item[関数] Framedata(name , リスト,options) +\item[機能] 矩形をæã +\item[説明] リストã®å½¢ã¯2通り。 + +ãã®1：[ä¸å¿ƒ ,横 , 縦] ã§ï¼ŒçŸ©å½¢ã‚’æã。横，縦ã¯ä¸å¿ƒã‹ã‚‰ã®è·é›¢ã€‚ + +ãã®2：2点ã®ãƒªã‚¹ãƒˆã€‚点ãŒåº§æ¨™ã§ãªãå称ã®ã¨ãã¯nameã¯çœç•¥ã§ãる。 + +点ã®åº§æ¨™ã¯ç‚¹ã®åå‰ã§ã‚‚よã„。点を座標ã§ä¸Žãˆã‚‹å ´åˆã¯nameã¯çœç•¥ã§ããªã„。 + +リストをçœç•¥ã—ãŸå ´åˆã¯ï¼Œæ画範囲ã¨åŒä¸€ã®çŸ©å½¢ã‚’æã。 + +ãã®2ã®ã‚¿ã‚¤ãƒ—ã§ã¯ï¼Œoption ã¨ã—ã¦ï¼Œ"center" ã¾ãŸã¯ "corner" ãŒã‚る。"center" ã®ã¨ãã¯ï¼Œä¸å¿ƒã¨å¯¾è§’点（ åˆæœŸè¨å®šï¼‰ï¼Œ"corner" ã®ã¨ãã¯2点を対角点ã¨ã—ã¦è§£é‡ˆã™ã‚‹ã€‚ + +以下ã«ã„ãã¤ã‹ä¾‹ã‚’示㙠+\begin{tabbing} +1234567890123456789012345678901234\=\kill + \verb|Framedata("1");| \> æ画範囲(SW,NE)ã¨åŒä¸€ã®çŸ©å½¢ã‚’æã\\ + \verb|Framedata("2",[[0,0],2,2]);| \> 原点をä¸å¿ƒã¨ã™ã‚‹ç¸¦æ¨ªå¹…4ã®æ£æ–¹å½¢ã‚’æã\\ + \verb|Framedata("3",[A,1.5,1.2]);| \> 点Aã‚’ä¸å¿ƒã¨ã™ã‚‹æ¨ª3，縦2.4ã®çŸ©å½¢ã‚’æã。(図左)\\ + \verb|Framedata([B,C]);| \> 点Bã‚’ä¸å¿ƒ,点Cã‚’é ‚ç‚¹ã¨ã™ã‚‹çŸ©å½¢ã‚’æã。(図ä¸å¤®)\\ + \verb|Framedata([D,E],["corner"]); | \> 点D,Eを対角点ã¨ã™ã‚‹çŸ©å½¢ã‚’æã。(図å³) + \end{tabbing} +\begin{center}\includegraphics[bb=0.00 0.00 348.15 106.16,width=12cm]{Fig/Framedata.pdf}\end{center} + +矩形ã®è§’を丸ã‚ãŸã„å ´åˆã¯ï¼ŒFramedata()ã§ã¯ãªã，\hyperlink{ovaldata}{Ovaldata()}を使ã†ã¨ã‚ˆã„。 + +\vspace{\baselineskip} +\hypertarget{polygonplot}{} +\item[関数] Polygonplot(name , 点リスト , æ•´æ•°,options) +\item[機能] 2点をåŠå¾„ã¨ã™ã‚‹å††ã«å†…接ã™ã‚‹æ£å¤šè§’形をæã。 +\item[説明] 点リストを[A,B] ã¨ã™ã‚‹ã¨ï¼ŒAã‚’ä¸å¿ƒã¨ã™ã‚‹åŠå¾„ABã®å††å‘¨ä¸Šã«ç‚¹ã‚’ã¨ã£ã¦æ£å¤šè§’形をæã。ãŸã ã—円ã¯æã‹ãªã„。A,B ã¯åº§æ¨™ã§ã‚‚よã„。 + +点リストãŒåº§æ¨™ã§ã¯ãªã作図ã—ã¦ã‚る点ã®å称ã®ã¨ã，オプション㫠"Geo=y" ã‚’ã¤ã‘ã‚‹ã¨ï¼Œé ‚点ã®å¹¾ä½•ç‚¹ã‚’作る。幾何点ã®å称ã¯Bã«ç•ªå·ã‚’付ã‘ãŸã‚‚ã®ã¨ãªã‚‹ã€‚æ•´æ•°ã§ãªã„数を指定ã—ãŸå ´åˆã¯ï¼Œãã¡ã‚“ã¨é–‰ã˜ãªã„折れ線ãŒæã‹ã‚Œã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘点リストã¨optionã®é•ã„ã«ã‚ˆã‚‹ä½œå›³ã¨ï¼ŒTeXã®å›³ã‚’示ã™ã€‚ + +\begin{verbatim} + Addax(0); + Polygonplot("1",[[-4,1],[-4,3]],7); + Polygonplot("2",[A,B],7); + Polygonplot("3",[C,D],7,["Geo=y"]); +\end{verbatim} + +\hspace{10mm}\includegraphics[bb=0.00 0.00 541.03 175.01,width=10cm]{Fig/polygonplot2.pdf} + +\hspace{10mm}\input{Fig/polygonplot1} + + +円ã«å†…接ã™ã‚‹å½¢ã§ãªã，与ãˆã‚‰ã‚ŒãŸç·šåˆ†ABを１辺ã¨ã™ã‚‹æ£å¤šè§’形をæãã«ã¯æ¬¡ã®ã‚ˆã†ã«ã™ã‚‹ã€‚ + +線分ABã¯ï¼ŒCinderellaã®ä½œå›³ãƒ„ールãªã©ã§æã‹ã‚Œã¦ã„ã‚‹ã‚‚ã®ã¨ã™ã‚‹ã€‚ãŸã ã—，線分ã§ãªã，両端ã®ç‚¹ãŒä¸Žãˆã‚‰ã‚Œã¦ã„ã‚‹ã ã‘ã§ã‚‚よã„。Cindyscriptã§ç‚¹A,BãŒè¤‡ç´ å¹³é¢ä¸Šã«ã‚ã‚‹ã‚‚ã®ã¨ã—ã¦ï¼Œå¤šè§’å½¢ã®é ‚点ã®ä½ç½®ã‚’計算ã™ã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘ABã‚’1辺ã¨ã™ã‚‹æ£äº”角形をæã。 + +\begin{verbatim} + n=5; + pti=[complex(A),complex(B)]; + th=2*pi/n; + repeat(n-2,s, + z1=pti_s; + z2=pti_(s+1); + z=z2+(z2-z1)*(cos(th)+i*sin(th)); + pti=append(pti,z); + ); + pt=apply(pti,gauss(#)); + pt=append(pt,A.xy); + Listplot("1",pt); +\end{verbatim} +ptiã¯ï¼Œå„é ‚ç‚¹ã«å¯¾å¿œã™ã‚‹è¤‡ç´ æ•°ã®ãƒªã‚¹ãƒˆï¼ŒptãŒå„é ‚ç‚¹ã®åº§æ¨™ã®ãƒªã‚¹ãƒˆã§ã‚る。 + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\end{description} +\newpage +% ====== 曲線 ============== +\subsubsection{曲線} +\begin{description} + +\hypertarget{bezier}{} +\item[関数] Bezier(åå‰ï¼Œç¯€ç‚¹ãƒªã‚¹ãƒˆï¼Œåˆ¶å¾¡ç‚¹ãƒªã‚¹ãƒˆï¼Œ[オプション] ) +\item[機能] ベジェ曲線をæã +\item[説明] 制御点ã¯ï¼Œå„区間ã«å¯¾ã—ã¦ï¼Œ3次ã®å ´åˆ2個，2次ã®å ´åˆ1個ã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚ + +オプション㯠+ +"Num=n" : 節点間ã®åˆ†å‰²æ•°ï¼ˆåˆ†ç‚¹æ•° $-1$）を指定ã§ãる。 ベジェ曲線ã¨ã‚¹ãƒ—ライト曲線ã®é–¢æ•°ã¯ç¯€ç‚¹é–“ãŒçŸã„å ´åˆãŒå¤šã„ã®ã§åˆæœŸè¨å®šã¯10ã«ãªã£ã¦ã„る。Plotdata()ãªã©ã¨é•ã„，大ãã„数（200ãªã©ï¼‰ã‚’指定ã™ã‚‹ã¨ï¼Œå…¨ä½“ã®åˆ†å‰²æ•°ãŒå¢—大ã—ã¦æ画時間ãŒã‹ã‹ã‚‹ã‚ˆã†ã«ãªã£ã¦ã—ã¾ã†ã®ã§æ³¨æ„。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘ \begin{layer}{150}{0} -\putnotese{16}{27}{bzname} -\putnotese{15}{10}{\input{Fig/checkbe7}} +\putnotese{60}{-10}{\scalebox{0.9}{ \input{Fig/checkbe1}}} \end{layer} -å…¨ã¦åŒã˜æ¬¡æ•°ã®å ´åˆï¼Œæ¬¡ã®ã‚ˆã†ã«ã—ã¦ã‚‚よã„． +2次ベジェ曲線 -Bezier("name", [A,B,C,D], [E,F,G,H,K,L] ); +Bezier("1",[A,B],[C]); -\vspace{30mm} +\vspace{20mm} \begin{layer}{150}{0} -\putnotese{50}{20}{bz1a} -\putnotese{60}{5}{\input{Fig/checkbe5}} +\putnotese{60}{-10}{\scalebox{0.9}{\input{Fig/checkbe2}}} \end{layer} -オプション +3次ベジェ曲線 -Bezier("1a",[A,B,C],[[D],[E,F]],["Num=3"]); +Bezier("2",[A,B],[C,D]); -\vspace{30mm} +\vspace{20mm} \begin{layer}{150}{0} -\putnotese{50}{20}{bzd5e} -\putnotese{60}{5}{\input{Fig/checkbe6}} +\putnotese{60}{-10}{\scalebox{0.9}{ \input{Fig/checkbe3}}} \end{layer} -Bezier("d5e",[A,B,C],[[D],[E,F]],["Num=200","da"]); +%ベジェ曲線をã¤ãªã’ã‚‹ -\vspace{35mm} +%Bezier("3",[A,B,C],[[D],[E,F]]); + +%\vspace{20mm} +%\begin{layer}{150}{0} +%\putnotese{60}{5}{ \input{Fig/checkbe4}} +%\end{layer} + +%D,B,E を１直線上ã«ã¨ã‚‹ã¨ï¼Œæ»‘らã‹ã«ã¤ãªãŒã‚‹ +節点を増やã™ã€‚2次ã¨3次。 + +Bezier("3",[A,B,C],[[D],[E,F]]); + +\vspace{20mm} + +å…¨ã¦åŒã˜æ¬¡æ•°ã®å ´åˆï¼Œæ¬¡ã®ã‚ˆã†ã«ã—ã¦ã‚‚よã„． + +Bezier("4", [A,B,C,D], [E,F,G,H,K,L] ); \begin{layer}{150}{0} -\putnotese{20}{32}{bz1} -\putnotese{15}{15}{\input{Fig/checkbe8}} +\putnotese{20}{2}{\input{Fig/checkbe7}} \end{layer} +\vspace{35mm} + +オプションã®ä¾‹ + +Bezier("5",[A,B,C],[[D],[E,F]],["Num=3"]); + +\hspace{20mm}\input{Fig/checkbe5} + +Bezier("6",[A,B,C],[[D],[E,F]],["Num=40","da"]); + +\hspace{20mm}\input{Fig/checkbe6} + Numを（ベクトルã¨ã—ã¦ï¼‰åŒºé–“ã”ã¨ã«ä¸Žãˆã‚‹ã“ã¨ã‚‚ã§ãる。 Bezier("1", [A,B,C,D], [E,F,G,H,K,L] , [ "Num=[2,3,4]"]); -\vspace{30mm} - -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\hspace{10mm} \input{Fig/checkbe8} +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{\baselineskip} \hypertarget{beziersmooth}{} -\item[関数]　Beziersmooth(åå‰ï¼Œç¯€ç‚¹ãƒªã‚¹ãƒˆï¼Œ[オプション] ) -\item[機能]　節点間を３次ベジエ曲線ã§ã‚¹ãƒ ーズã«çµã‚“ã 曲線をæã -\item[説明]　節点をã¯ã•ã‚€åˆ¶å¾¡ç‚¹ã¯ï¼‘直線上ã«ã¨ã‚‹ï¼ˆã—ãŸãŒã£ã¦ï¼Œï¼‘ã¤ã¯åŠè‡ªç”±ç‚¹ã§ï¼Œç›´ç·šä¸Šã—ã‹å‹•ã‘ãªã„）。 +\item[関数] Beziersmooth(åå‰ï¼Œç¯€ç‚¹ãƒªã‚¹ãƒˆï¼Œ[オプション] ) +\item[機能] 節点間を3次ベジェ曲線ã§ã‚¹ãƒ ーズã«çµã‚“ã 曲線をæã +\item[説明] 節点をã¯ã•ã‚€åˆ¶å¾¡ç‚¹ã¯ï¼‘直線上ã«ã¨ã‚‹ï¼ˆã—ãŸãŒã£ã¦ï¼Œï¼‘ã¤ã¯åŠè‡ªç”±ç‚¹ã§ï¼Œç›´ç·šä¸Šã—ã‹å‹•ã‘ãªã„）。 制御点ã¯è‡ªå‹•çš„ã«é…ç½®ã•ã‚Œã‚‹ã€‚ãã®å¾Œï¼Œç¯€ç‚¹ã‚„制御点を動ã‹ã—ã¦ï¼ŒæããŸã„ã‚‚ã®ã«ã™ã‚‹ã€‚ -例： +\vspace{\baselineskip} +ã€ä¾‹ã€‘ \begin{layer}{150}{0} \putnotese{70}{25}{bz1} -\putnotese{40}{-5}{\input{Fig/checksm1}} +\putnotese{40}{-5}{ \input{Fig/checksm1}} \end{layer} Beziersmooth("1",[A,B,C,D]); \vspace{20mm} +ãã®å¾Œï¼Œç¯€ç‚¹ã‚„制御点を動ã‹ã—ã¦ï¼ŒæããŸã„ã‚‚ã®ã«ã™ã‚‹ã€‚ãŸã ã—，C2p 㯠C1q 㨠B を通る直線上ã—ã‹å‹•ã‘ãªã„。C3p 㯠C2q 㨠C を通る直線上ã—ã‹å‹•ã‘ãªã„。 \begin{layer}{150}{0} \putnotese{70}{35}{bz1} -\putnotese{40}{10}{\input{Fig/checksm2}} +\putnotese{40}{10}{ \input{Fig/checksm2}} \end{layer} -ãã®å¾Œï¼Œç¯€ç‚¹ã‚„制御点\\ -ã‚’å‹•ã‹ã—ã¦ï¼ŒæããŸã„\\ -ã‚‚ã®ã«ã™ã‚‹ã€‚ãŸã ã—，\\ -C2p 㯠C1q 㨠B を通\\ -る直線上ã—ã‹å‹•ã‘ãªã„。\\ -C3p 㯠C2q 㨠C を通\\ -る直線上ã—ã‹å‹•ã‘ãªã„。 - -\vspace{10mm} - +\vspace{40mm} +\vspace{\baselineskip} \hypertarget{beziersym}{} -\item[関数]　Beziersym(åå‰ï¼Œç¯€ç‚¹ãƒªã‚¹ãƒˆï¼Œ[オプション] ) -\item[機能]　節点間を３次ベジエ曲線ã§ã‚¹ãƒ ーズã«çµã‚“ã 曲線をæã -\item[説明]　節点をã¯ã•ã‚€åˆ¶å¾¡ç‚¹ã¯ç¯€ç‚¹ã«é–¢ã—対称（片方ã¯è¡¨ç¤ºã•ã‚Œãšï¼Œå‹•ã‹ã›ãªã„）。 +\item[関数] Beziersym(åå‰ï¼Œç¯€ç‚¹ãƒªã‚¹ãƒˆï¼Œ[オプション] ) +\item[機能] 節点間を3次ベジェ曲線ã§ã‚¹ãƒ ーズã«çµã‚“ã 曲線をæã +\item[説明] 節点をã¯ã•ã‚€åˆ¶å¾¡ç‚¹ã¯ç¯€ç‚¹ã«é–¢ã—対称（片方ã¯è¡¨ç¤ºã•ã‚Œãšï¼Œå‹•ã‹ã›ãªã„）。 制御点ã¯è‡ªå‹•çš„ã«é…ç½®ã•ã‚Œã‚‹ã€‚ãã®å¾Œï¼Œç¯€ç‚¹ã‚„制御点を動ã‹ã—ã¦æããŸã„ã‚‚ã®ã«ã™ã‚‹ã€‚ -例： +ã€ä¾‹ã€‘ \begin{layer}{150}{0} \putnotese{70}{20}{bz1} -\putnotese{40}{-5}{\input{Fig/checksy1}} +\putnotese{40}{10}{ \input{Fig/checksy1}} +\putnotese{0}{5}{Beziersym("1",[A,B,C,D]);} +\putnotese{0}{15}{C2p 㨠C3p ã¯è¡¨ç¤ºã•ã‚Œãªã„} \end{layer} -Beziersym("1",[A,B,C,D]);\\ -C2p 㨠C3p ã¯è¡¨ç¤ºã•ã‚Œ\\ -ãªã„。 +\vspace{50mm} -\vspace{10mm} +ãã®å¾Œï¼Œç¯€ç‚¹ã‚„制御点を動ã‹ã—ã¦ï¼ŒæããŸã„ã‚‚ã®ã«ã™ã‚‹ã€‚ + +C2p 㨠C3p ã¯è¡¨ç¤ºã•ã‚Œãšï¼Œå‹•ã‹ã›ãªã„。 +\begin{center} \input{Fig/checksy2} \end{center} + +\vspace{\baselineskip} +\hypertarget{mkbeziercrv}{} +\item[関数] Mkbeziercrv(åå‰, [節点リスト,制御点リスト] ã®ãƒªã‚¹ãƒˆ,options ) +\item[機能] 複数ã®ãƒ™ã‚¸ã‚§æ›²ç·šã‚’æã +\item[説明] [節点リスト,制御点リスト] ãŒï¼‘ã¤ã®å ´åˆã¯ï¼ŒBezier()ã¨åŒã˜ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘ベジェ曲線を2ã¤æã。 + +\verb|Mkbeziercrv("5",[[[A,B,C],[[D],[E,F]]],[[G,H,K,L],[[M],[N,O],[P]]]]);| + + \input{Fig/checkmc1} + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{\baselineskip} +\hypertarget{mkbezierptcrv}{} +\item[関数] Mkbezierptcrv(節点リストptlist，[オプション] ) +\item[機能] ベジェ曲線をæã +\item[説明] 制御点ã¯ï¼Œè‡ªå‹•çš„ã«é…ç½®ã•ã‚Œã‚‹ã€‚ + +複数ã®å ´åˆã¯ [ ptlist1, ptlist2.... ] + +åå‰ã¯ï¼ŒA ã‹ã‚‰é †ã«è‡ªå‹•çš„ã«ã¤ã‘る。 + +オプション + +"Deg=...†次数指定ãŒã§ãる。（ åˆæœŸè¨å®šã¯3次） + +"Num=..." å„区間ã®åŒºé–“数（分点数ー１）を指定ã§ãる。（ åˆæœŸè¨å®šã¯10） + +\vspace{5mm} + +ã€ä¾‹ã€‘ \begin{layer}{150}{0} -\putnotese{70}{30}{bz1} -\putnotese{40}{0}{\input{Fig/checksy2}} +\putnotese{50}{15}{bzA} +\putnotese{50}{-5}{ \input{Fig/checkb8}} \end{layer} -ãã®å¾Œï¼Œç¯€ç‚¹ã‚„制御点\\ -ã‚’å‹•ã‹ã—ã¦ï¼ŒæããŸã„\\ -ã‚‚ã®ã«ã™ã‚‹ã€‚\\ -C2p 㨠C3p ã¯è¡¨ç¤ºã•\\ã‚Œãšï¼Œå‹•ã‹ã›ãªã„。 -　\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\verb|Mkbezierptcrv([A,B,C]);| -\hypertarget{bowdata}{} -\item[関数]　Bowdata(点リスト , options) -\item[機能]　弓形をæã -\item[説明]　点リストã§ä¸Žãˆã‚‰ã‚ŒãŸï¼’点をçµã¶å¼“形をæã。\\ -　２点をå時計回りã«å›žã‚‹æ–¹å‘ã«å¼“形をæã。\\ -　optionsã¯ï¼Œ[曲ãŒã‚Š , 空白サイズ , æ–‡å—, 線種]\\ -　　曲ãŒã‚Šã€€ã¯å¼§ã®æ›²ãŒã‚Šå…·åˆã®æŒ‡å®šã€‚デフォルトã¯ï¼‘\\ -　　空白サイズ　ã¯ä¸å¤®ã«ã‚ã‘る空白ã®å¤§ãã•\\ -　　文å—ã¯ï¼Œ"Expr=æ–‡å—" \\ -　　ã¾ãŸï¼Œ"Expr=ä½ç½® , æ–‡å—" ã§ä½ç½®ã‚’指定ã—ã¦æ–‡å—を入れる。ä½ç½®ã¯e,w,n,s,c\\ - -例　三角形ABCã®å„辺ã«å¼“形マークをã¤ã‘記å·ã‚’入れる。 -\begin{verbatim} -　　　Listplot([A,B,C,A]); -　　　Letter([A,"n1","A",B,"w1","B",C,"e1","C"]); -　　　Bowdata([A,B]); -　　　Bowdata([B,C],[1,"Expr=s3,a"]); -　　　Bowdata([C,A],[2,1.2,"Expr=10","da"]); -\end{verbatim} -　　　\input{Fig/bowdata}\\ - -　以上ãŒåŸºæœ¬ã€‚ã“ã‚Œã«åŠ ãˆï¼Œæ–‡å—を回転ã—ã¦è¡¨ç¤ºã™ã‚‹æ–¹æ³•ãŒã‚る。\\ -　ãŸã ã—，Cinderellaã®ç”»é¢ã«ã¯åæ˜ ã•ã‚Œãªã„。\\ -　文å—をを回転ã™ã‚‹ã«ã¯æ¬¡ã®ã‚ˆã†ã«æ›¸ã。\\ -　"Exprrot=å¾®å°ç§»å‹• , æ–‡å—"\\ -　　　微å°ç§»å‹•ã¯ t , n ,u \\ -　　　　　t ã¯ç·šåˆ†æ–¹å‘ã®å¾®å°ç§»å‹•ã€‚移動é‡ã¯æ•°å—ã‚’ã¤ã‘る。æ£è² ãŒå¯ã€‚\\ -　　　　　n ã¯ç·šåˆ†ã¨åž‚ç›´æ–¹å‘ã®å¾®å°ç§»å‹•\\ -　　　　　u ã¯ä¸Šä¸‹å転\\ -　t , n , u ã¯çµ„ã¿åˆã‚ã›ã‚‹ã“ã¨ãŒã§ãる。 -　以下ã«ã„ãã¤ã‹ä¾‹ã‚’示ã™ã€‚ -\begin{verbatim} -　　Bowdata([B,A],[1,1,"Exprrot=a"]); -　　Bowdata([D,C],[1,1,"Exprrot=t3,a"]); -　　Bowdata([F,E],[1,1,"Exprrot=t-3,a"]); -　　Bowdata([H,G],[1,1,"Exprrot=n3,a"]); -　　Bowdata([L,K],[1,1,"Exprrot=u,a"]); -　　Bowdata([N,M],[1,1,"Exprrot=t3u,a"]); -\end{verbatim} -　\input{Fig/bowdata2}\\ - - -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{25mm} + +\begin{layer}{150}{0} +\putnotese{50}{15}{bzA} +\putnotese{60}{-10}{ \input{Fig/checkb11}} +\end{layer} + +ãã®å¾Œï¼Œç¯€ç‚¹ã‚„制御点を動ã‹ã—ã¦ï¼Œ + +æããŸã„ã‚‚ã®ã«ã™ã‚‹ã€‚ + +\vspace{30mm} + +\begin{layer}{150}{0} +\putnotese{80}{25}{bzA} +\putnotese{50}{-5}{\input{Fig/checkb9}} +\end{layer} + +\verb|Mkbezierptcrv([A,B,C],["Deg=2"]);| +Deg=2 ã¨ã™ã‚‹ã¨2次ã«ãªã‚‹ã€‚ + +制御点ã¯å„区間ã«ï¼‘個ãšã¤ã§ãる。 + +\vspace{20mm} + +\begin{layer}{150}{0} +\putnotese{20}{45}{bzA} +\putnotese{80}{45}{bzB} +\putnotese{0}{10}{ \input{Fig/checkb10}} +\end{layer} + +複数ã®å ´åˆã¯ [ ptlist1, ptlist2.... ] + +\verb|Mkbezierptcrv([[A,B,C],[D,E,F,G]]);| + +\vspace{40mm} + + \vspace{\baselineskip} \hypertarget{bspline}{} -\item[関数]　Bspline(åå‰ï¼Œåˆ¶å¾¡ç‚¹ãƒªã‚¹ãƒˆï¼Œ[オプション] ) -\item[機能]　２次B-spline曲線をæã -\item[説明]　節点ã¯è‡ªå‹•çš„ã«è¨ˆç®—ã•ã‚Œï¼Œè¡¨ç¤ºã•ã‚Œãªã„\\ +\item[関数] Bspline(åå‰ï¼Œåˆ¶å¾¡ç‚¹ãƒªã‚¹ãƒˆï¼Œ[オプション] ) +\item[機能] 2次B-spline曲線をæã +\item[説明] 節点ã¯è‡ªå‹•çš„ã«è¨ˆç®—ã•ã‚Œï¼Œè¡¨ç¤ºã•ã‚Œãªã„ + + \vspace{\baselineskip} +ã€ä¾‹ã€‘\verb|Bspline("1",[A,B,C,D,E])| + +ã“ã‚Œã¯ï¼Œ \verb|Bezier("1",[A,(B+C)/2,(C+D)/2,E],[B,C,D])| ã¨åŒã˜ã€‚曲線ã®åå‰ãŒ bz1 ã§ã¯ãªãbzb1 ã¨ãªã‚‹ã€‚ +通常ã®B-spline曲線ã®ç«¯ã®åˆ¶å¾¡ç‚¹ã®ä»£ã‚ã‚Šã«ï¼Œç«¯ç‚¹ã‚’å‹•ã‹ã›ã‚‹ã‚ˆã†ã«ã—ã¦ã„る。 -例：\verb|Bspline("1",[A,B,C,D,E]);|\\ -　　\verb|Bezier("1",[A,(B+C)/2,(C+D)/2,E],[B,C,D]);|\\ -　　ã¨åŒã˜ã€‚曲線ã®åå‰ãŒ bz1 ã§ã¯ãªãbzb1 ã¨ãªã‚‹ã€‚\\ -　　通常ã®B-spline曲線ã®ç«¯ã®åˆ¶å¾¡ç‚¹ã®ä»£ã‚ã‚Šã«ï¼Œç«¯ç‚¹ã‚’å‹•ã‹ã›ã‚‹ã‚ˆã†ã«ã—ã¦ã„る。\\ -　　　　\input{Fig/checkbs1} + \begin{center} \input{Fig/checkbs1}\end{center} +ã€ä¾‹ã€‘\verb|Bspline("1",[A,B,C,D,A]);| -例：\verb|Bspline("1",[A,B,C,D,A]);|\\ -　リストã®æœ€åˆã¨æœ€å¾ŒãŒåŒã˜å ´åˆã¯é–‰æ›²ç·šã«ãªã‚‹ã€‚\\ -　\verb|Bezier("1",[(D+A)/2,(A+B)/2,(B+C)/2,(C+D)/2,(D+A)/2],[A,B,C,D]);| ã¨åŒã˜ã€‚\\ -　\\ -　　　　\input{Fig/checkbs2} -　\\ -　　　　　　　　　　　　　　　　å‚照：\hyperlink{ospline}{Ospline：大島ã®ã‚¹ãƒ—ラインをæã} \\ +リストã®æœ€åˆã¨æœ€å¾ŒãŒåŒã˜å ´åˆã¯é–‰æ›²ç·šã«ãªã‚‹ã€‚ + + \verb|Bezier("1",[(D+A)/2,(A+B)/2,(B+C)/2,(C+D)/2,(D+A)/2],[A,B,C,D]);| + + ã¨åŒã˜ã€‚ + + \begin{center} \input{Fig/checkbs2}\end{center} +å‚照：\hyperlink{ospline}{Ospline：大島ã®ã‚¹ãƒ—ラインをæã} + +\vspace{\baselineskip} \hypertarget{crspline}{} -\item[関数]　CRspline(åå‰ï¼Œç¯€ç‚¹ãƒªã‚¹ãƒˆï¼Œ[オプション] ) -\item[機能]　å˜ç‹¬ã®Catmull-Rom スプライン曲線をæã +\item[関数] CRspline(åå‰ï¼Œç¯€ç‚¹ãƒªã‚¹ãƒˆï¼Œ[オプション] ) +\item[機能] å˜ç‹¬ã®Catmull-Rom スプライン曲線をæã \item[説明] -　自由点ã¯ï¼Œç¯€ç‚¹ã®ã¿ã§ï¼Œåˆ¶å¾¡ç‚¹ã¯ç¯€ç‚¹ã‹ã‚‰ä½œã‚‰ã‚Œç§»å‹•ã¯ã§ããªã„。\\ -　オプションã«ï¼Œé€šå¸¸ã®ã‚ªãƒ—ションã®ã»ã‹ï¼Œæ¬¡ã®ï¼’ã¤ãŒä½¿ãˆã‚‹ã€‚\\ -　　"size-$>$n" 　　　　画é¢ä¸Šã§ã®ç·šã®å¤ªã•ã‚’指定ã™ã‚‹ã€‚\\ -　　"pointsize-$>$n"　　制御点ã®å¤§ãã•ã‚’指定ã™ã‚‹ã€‚0ã®ã¨ãéžè¡¨ç¤ºã¨ãªã‚‹ã€‚\\ - -例：\verb|CRspline("3",[A,B,C,D]);|\\ -　　　\input{Fig/checkCR} -　\\ +自由点ã¯ï¼Œç¯€ç‚¹ã®ã¿ã§ï¼Œåˆ¶å¾¡ç‚¹ã¯ç¯€ç‚¹ã‹ã‚‰ä½œã‚‰ã‚Œç§»å‹•ã¯ã§ããªã„。 + +オプションã«ï¼Œé€šå¸¸ã®ã‚ªãƒ—ションã®ã»ã‹ï¼Œæ¬¡ãŒä½¿ãˆã‚‹ã€‚ + +\verb|size ->n| : ç”»é¢ä¸Šã§ã®ç·šã®å¤ªã•ã‚’指定ã™ã‚‹ã€‚ + +ã€ä¾‹ã€‘\verb|CRspline("1",[A,B,C,D]);| + +\hspace{20mm} \input{Fig/checkCR} + +\vspace{\baselineskip} +\hypertarget{ospline}{} +\item[関数] Ospline(åå‰ï¼Œåˆ¶å¾¡ç‚¹ãƒªã‚¹ãƒˆï¼Œ[オプション] ) +\item[機能] 大島ã®spline曲線をæã +\item[説明] 制御点を通るスプライン曲線をæã + +リストã®æœ€åˆã¨æœ€å¾ŒãŒåŒã˜å ´åˆã¯é–‰æ›²ç·šã«ãªã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘\verb|Ospline("1",[A,B,C,D,E]);| \verb|Ospline("1",[A,B,C,D,A]);| + + \input{Fig/ospline1} \input{Fig/ospline2} + +\vspace{\baselineskip} + スプライン曲線ã«ã¤ã„ã¦ã¯æ¬¡ã‚‚å‚ç…§ã•ã‚ŒãŸã„：\hyperlink{bspline}{Bspline：Ｂスプラインをæã} + + +\vspace{\baselineskip} \hypertarget{circledata}{} -\item[関数]　Circledata(name,リスト,options)　 -\item[機能]　円ã¾ãŸã¯å¤šè§’形をæã。 -\item[説明]　ä¸å¿ƒã®ç‚¹ã¨ï¼Œå††å‘¨ä¸Šã®1点，ã¾ãŸã¯ï¼“点をリストã§ä¸Žãˆã¦å††ã‚’æã。\\ -　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®åå‰ã¯ï¼Œ"cr" ã«å¼•æ•°ã® name ã‚’ä»˜åŠ ã—ãŸã‚‚ã®ã¨ãªã‚‹ã€‚\\ -　ä¸å¿ƒã¨å††å‘¨ä¸Šã®ç‚¹ã‚’，座標ã§ã¯ãªã幾何è¦ç´ åã§æŒ‡å®šã™ã‚‹å ´åˆã¯ name ã¯çœç•¥å¯ã€‚\\ -　optionsã¯ä»¥ä¸‹ã®ã‚‚ã®ã‚’リストã§ä¸Žãˆã‚‹ã€‚çœç•¥ã—ãŸå ´åˆã¯å®Ÿç·šã§å††ãŒæã‹ã‚Œã‚‹ã€‚ +\item[関数] Circledata(name,リスト,options) +\item[機能] 円ã¾ãŸã¯å¤šè§’形をæã。 +\item[説明] ä¸å¿ƒã®ç‚¹ã¨ï¼Œå††å‘¨ä¸Šã®1点，ã¾ãŸã¯3点をリストã§ä¸Žãˆã¦å††ã‚’æã。 + +ä¸å¿ƒã¨å††å‘¨ä¸Šã®ç‚¹ã‚’，座標ã§ã¯ãªã幾何è¦ç´ åã§æŒ‡å®šã™ã‚‹å ´åˆã¯ name ã¯çœç•¥å¯ã€‚ + +optionsã¯ä»¥ä¸‹ã®ã‚‚ã®ã‚’リストã§ä¸Žãˆã‚‹ã€‚çœç•¥ã—ãŸå ´åˆã¯å®Ÿç·šã§å††ãŒæã‹ã‚Œã‚‹ã€‚ \begin{tabbing} -1234567890123456789012\=\kill -　　"Rng=[$θ_1,θ_2$]"　\>角$θ_1$ã‹ã‚‰$θ_2$ã®ç¯„囲ã®å¼§ã‚’æã。角ã¯å¼§åº¦æ³•ã§ä¸Žãˆã‚‹ã€‚\\ -　　"Num=分割数"　　\>円をæãã¨ãã®åˆ†å‰²æ•°ã€‚値ãŒå°ã•ã„å ´åˆã¯å¤šè§’å½¢ã«ãªã‚‹ã€‚\\ -　　線種　　\>"dr, n" , "da,m,n" , "do,m,n"\\ +1234\=567890123456789012\=\kill + \> "Rng=[$\theta_1,\theta_2$]" \>角$\theta_1$ã‹ã‚‰$\theta_2$ã®ç¯„囲ã®å¼§ã‚’æã。角ã¯å¼§åº¦æ³•ã§ä¸Žãˆã‚‹ã€‚\\ + \> "Num=分割数" \>円をæãã¨ãã®åˆ†å‰²æ•°ã€‚値ãŒå°ã•ã„å ´åˆã¯å¤šè§’å½¢ã«ãªã‚‹ã€‚\\ + \> 線種 \>"dr, n" , "da,m,n" , "do,m,n" +\end{tabbing} +\begin{tabbing} +1234\=56789012345678901234567890\=\kill + +ã€ä¾‹ã€‘ã„ã‚ã„ã‚ãªå††ã‚’æã。\\ + \>原点ä¸å¿ƒï¼ŒåŠå¾„2ã®å†† \> \verb|Circledata("1",[[0,0],[2,0]]);|\\ + \>Aä¸å¿ƒï¼ŒåŠå¾„ABã®å†† \> \verb|Circledata([A,B]);|\\ + \>Aä¸å¿ƒï¼ŒåŠå¾„2ã®å†† \> \verb|Circledata("1",[A,A+[2,0]]);|\\ + \>3点A,B,Cを通る円 \> \verb|Circledata([A,B,C]);|\\ + \>下図左より，オプション㫠"dr,2" , "da" , "do" ã‚’ã¤ã‘ãŸå ´åˆã€‚ +\end{tabbing} +\hspace{10mm} \input{Fig/circledata1} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + + \verb|Circledata([A,B,C]);| ã§ï¼Œ3点A,B,Cを通る円をæã„ãŸã¨ã，ã§ããŸå††ã®ä¸å¿ƒã¯ \verb|Pointdata("1",[crABCcenter]);| ã§ä½œå›³ã§ãる。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘Aä¸å¿ƒï¼ŒåŠå¾„AB，ä¸å¿ƒè§’60°ã®å¼§ã‚’æã。 + +\hspace{10mm} \verb|Circledata([A,B],["Rng=[0,pi/3]"]); | + +\vspace{\baselineskip} +ã€ä¾‹ã€‘Aä¸å¿ƒï¼ŒåŠå¾„AB，ä¸å¿ƒè§’60°ã®æ‰‡åž‹ã‚’æã。点A,B,Cã‚’é©å½“ã«å–ã£ã¦ãŠã。 + +\begin{verbatim} + th=arctan2(B-A); + C.xy=Rotatepoint(B,pi/3,A); + Circledata([A,B],[Assign("Rng=[th,th+pi/3]","th",th)]); + Listplot([B,A,C]); + Letter([A,"s","A",B,"e","B",C,"nw","C"]); +\end{verbatim} + +\begin{center} +\includegraphics[bb=0.00 0.00 180.01 177.01,width=4cm"] {Fig/circledata3.pdf}\hspace{12mm} \input{Fig/circledata2} +\end{center} + +１行目ã¯ï¼ŒABãŒ$x$軸ã¨ãªã™è§’ã‚’ arctan2 関数 ã«ã‚ˆã£ã¦æ±‚ã‚ã¦ã„る。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘弧を太ãæã + + \verb|Circledata([C,D],["dr,3","Rng=[0,pi/3]"]);| + + 円ã¯NãŒå¤§ããªå€¤ã®æ£N多角形ã¨ã—ã¦æã„ã¦ã„る。optionã® ["Num=数値"] ã«ã‚ˆã£ã¦ãã®ç´°ã‹ã•ã‚’指定ã§ãる。Nã®å€¤ãŒå°ã•ã‘ã‚Œã°æ£å¤šè§’å½¢ãŒæã‘ã‚‹ã“ã¨ã«ãªã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘Aä¸å¿ƒï¼ŒåŠå¾„ABã®å††ã¨ï¼Œãã®å††ã«å†…接ã™ã‚‹æ£å…角形 +\begin{verbatim} + Circledata("1",[A,B]); + Circledata("2",[A,B],["Num=6"]); +\end{verbatim} +ã“ã“ã§ï¼ŒåŒã˜[A,B]を使ã†ãŸã‚，nameを付与ã—ã¦åŒºåˆ¥ã™ã‚‹å¿…è¦ãŒã‚る。(下図左) + +ã¾ãŸï¼Œé ‚点ã®ä½ç½®ã‚’変ãˆã‚‹ã®ã§ã‚ã‚Œã°ï¼ŒRng= オプションを使ã†ã€‚（下図å³ï¼‰ + + \verb|Circledata("2",[A,B],["Num=6","Rng=[pi/6,13/6*pi]"]);| + +\hspace{10mm} \input{Fig/circledata4} +\hspace{5mm} \input{Fig/circledata5} + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\vspace{\baselineskip} +\hypertarget{mkcircles}{} +\item[関数] Mkcircles() +\item[機能] ã™ã¹ã¦ã®å¹¾ä½•å††ã®PD ã‚’ä½œæˆ +\item[説明] Cinderellaã®ã€Œå††ã‚’åŠ ãˆã‚‹ã€ãƒ„ール（3種類ã„ãšã‚Œã§ã‚‚）ã§æã„ãŸã™ã¹ã¦ã®å††ã‚’ãã®ã¾ã¾ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¨ã™ã‚‹ã€‚ãŸã¨ãˆã°ï¼Œä¸å¿ƒA，円周上ã®ç‚¹ã‚’Bã¨ã—ãŸå††ã‚’作るã¨ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿crABãŒä½œæˆã•ã‚Œã‚‹ã€‚ãã®å¾Œï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ç‚¹Bã®è˜åˆ¥åを変更（ãŸã¨ãˆã°Qã«ï¼‰ã™ã‚‹ã¨ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åも変更ã•ã‚Œã‚‹ã€‚円ã¯ã™ã§ã«æã‹ã‚Œã¦ã„ã¦ã‚‚よã„。 + +\vspace{\baselineskip} +\hypertarget{ellipseplot}{} +\item[関数] Ellipseplot(name,点リスト ,定義域, options) +\item[機能] 焦点ã¨é€šã‚‹ç‚¹ã‚’与ãˆã¦æ¥•å††ã‚’æã。 +\item[説明] 点リストã§2ã¤ã®ç„¦ç‚¹ã¨é€šã‚‹ç‚¹ã‚’与ãˆã‚‹ã€‚点ã¯Cinderellaã®å¹¾ä½•ç‚¹ãŒä½¿ãˆã‚‹ã€‚ + + ã¾ãŸï¼Œé€šã‚‹ç‚¹ã®ã‹ã‚ã‚Šã«ï¼Œç„¦ç‚¹ã‹ã‚‰ã®è·é›¢ã®å’Œã‚’実数ã§ä¸Žãˆã‚‹ã“ã¨ã‚‚ã§ãる。 + + 実際ã«ã¯ï¼Œåª’介変数表示$x=a \cos \theta,y=b \sin \theta$ を，回転・平行移動ã—ã¦æã„ã¦ã„る。定義域ã¯ã“ã®ã¨ãã®$t$ã®å®šç¾©åŸŸã§ï¼Œçœç•¥ã‚‚å¯èƒ½ã€‚çœç•¥ã—ãŸã¨ãã®åˆæœŸå€¤ã¯[-5,5] + +\vspace{\baselineskip} +ã€ä¾‹ã€‘点A,Bを焦点ã¨ã™ã‚‹æ¥•å††ã‚’æã。 + +\verb|Ellipseplot("1",[A,B,C]);| 点Cを通る楕円をæã。 + +\verb|Ellipseplot("1",[A,B,4]);| 焦点ã‹ã‚‰ã®è·é›¢ã®å’ŒãŒ4ã§ã‚る楕円をæã。 + +\verb|Ellipseplot("1",[A,B,C],"[0,pi]");| 楕円ã®åŠåˆ†ã‚’æã。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘Cinderellaã®ä½œå›³ãƒ„ールを使ㆠ+ +作図ツールã«ï¼Œç„¦ç‚¹ã¨é€šã‚‹ç‚¹ã§æ¥•å††ã‚’æãã‚‚ã®ï¼Œç‚¹ã®æ¥µç·šã‚’æãツールãŒã‚る。（モードメニュー / ç›´ç·š / 点ã®æ¥µç·šï¼‰ã“れを利用ã™ã‚‹ã¨ï¼Œæ¥•å††ä¸Šã«ã¨ã£ãŸç‚¹ã‚’インシデントã«ã§ãã‚‹ã®ã§ï¼Œã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ã«å›³ã‚’変更ã™ã‚‹ã“ã¨ãŒã§ãる。ã“ã®Cinderellaã®ä½œå›³æ©Ÿèƒ½ã¨åˆã‚ã›ã¦ï¼Œä¸€æ–¹ã®ç„¦ç‚¹ã‹ã‚‰å‡ºãŸå…‰ãŒæ¥•å††ä¸Šã§åå°„ã—ã¦ä»–æ–¹ã®ç„¦ç‚¹ã«è‡³ã‚‹ï¼Œã¨ã„ã†å›³ã‚’次ã®ã‚ˆã†ã«ã—ã¦æãã“ã¨ãŒã§ãる。 + +ã¾ãšï¼Œ3ã¤ã®ç‚¹ï¼Œç„¦ç‚¹A,Bã¨é€šã‚‹ç‚¹Cã‚’é©å½“ãªä½ç½®ã«ä½œå›³ã™ã‚‹ã€‚次ã«ã€Œç„¦ç‚¹ã¨é€šã‚‹ç‚¹ã§æ±ºã¾ã‚‹æ¥•å††ã€ãƒ„ールをé¸ã³ï¼Œç‚¹A,B,Cã‚’é †ã«æŒ‡å®šã™ã‚‹ã¨ï¼Œæ¥•å††ãŒæã‹ã‚Œã‚‹ã€‚ + +モードメニューã®ã€Œç›´ç·šã€ã‹ã‚‰ã€Œç‚¹ã®æ¥µç·šã€ã‚’é¸ã³ï¼Œç‚¹Cã¨æ¥•å††ã‚’é †ã«æŒ‡å®šã™ã‚‹ã¨æŽ¥ç·šãŒå¼•ã‹ã‚Œã‚‹ã€‚ + +ã€Œåž‚ç·šã‚’åŠ ãˆã‚‹ã€ãƒ„ールを用ã„ã¦ï¼Œç‚¹Cã§åž‚線，ã™ãªã‚ã¡æ³•ç·šã‚’引ã。（下図） + +ã€Œç‚¹ã‚’åŠ ãˆã‚‹ã€ãƒ„ールを用ã„ã¦ï¼ŒæŽ¥ç·šï¼Œæ³•ç·šä¸Šã«é©å½“ã«ç‚¹ã‚’å–る。(D,Eã¨ãªã£ãŸã¨ã™ã‚‹) + +次ã®ã‚¹ã‚¯ãƒªãƒ—トを書ã„ã¦å®Ÿè¡Œã™ã‚‹ã¨ï¼Œæ¥•å††ã«é–¢ã—ã¦å…¥å°„角ã¨å射角ãŒç‰ã—ããªã‚‹ã‚ˆã†ã«å…‰ãŒåå°„ã™ã‚‹æ§˜åを図ã«ã™ã‚‹ã“ã¨ãŒã§ãる。 + +\vspace{\baselineskip} +\begin{layer}{150}{0} +\putnotese{75}{5}{ \includegraphics[bb=0 0 272.01 240.01, width=5cm]{Fig/ellipsecindy.pdf}} +\end{layer} +\hspace{50mm} + +\begin{verbatim} + Ellipseplot("1",[A,B,C]); + Lineplot([C,D]); + Lineplot([C,E]); + Arrowdata([A,C]); + Arrowdata([C,B]); + Anglemark([A,C,B]); + Expr([A,"s2","F_1",B,"s2","F_2"]); +\end{verbatim} +\vspace{\baselineskip} + \begin{center} \input{Fig/ellipseplot1}\end{center} + + ã¾ãŸï¼ŒæŽ¥ç·šï¼Œæ³•ç·šã‚’æã‹ãšï¼Œã“ã®æ¥•å††ä¸Šã«ç‚¹D,E,・・をã¨ã‚Šï¼ˆå€‹æ•°ã¯ä»»æ„）次ã®ã‚¹ã‚¯ãƒªãƒ—トを書ã‘ã°ï¼Œä½•æœ¬ã‹ã®å…‰ç·šãŒä¸€æ–¹ã®ç„¦ç‚¹ã‚’出ã¦ä»–æ–¹ã®ç„¦ç‚¹ã«é›†ã¾ã‚‹æ§˜åã‚’æãã“ã¨ãŒã§ãる。 + +\begin{layer}{150}{0} + \putnotese{70}{0}{\scalebox{0.9}{ \input{Fig/ellipseplot2}}} +\end{layer} +\begin{verbatim} + Ellipseplot("1",[A,B,C]); + Listplot([A,C,B]); + Listplot([A,D,B]); + Listplot([A,E,B]); + Expr([A,"s2","F_1",B,"s2","F_2"]); +\end{verbatim} +\vspace{10mm} + +\hypertarget{hyperbolaplot}{} +\item[関数] Hyperbolaplot(name,点リスト ,定義域, options) +\item[機能] 焦点ã¨é€šã‚‹ç‚¹ã‚’与ãˆã¦åŒæ›²ç·šã‚’æã。 +\item[説明] 点リストã§2ã¤ã®ç„¦ç‚¹ã¨é€šã‚‹ç‚¹ã‚’与ãˆã‚‹ã€‚点ã¯Cinderellaã®å¹¾ä½•ç‚¹ãŒä½¿ãˆã‚‹ã€‚ + +ã¾ãŸï¼Œé€šã‚‹ç‚¹ã®ã‹ã‚ã‚Šã«ï¼Œç„¦ç‚¹ã‹ã‚‰ã®è·é›¢ã®å·®ã‚’実数ã§ä¸Žãˆã‚‹ã“ã¨ã‚‚ã§ãる。 + +実際ã«ã¯ï¼Œãƒã‚¤ãƒ‘ボリック関数を用ã„ãŸåª’介変数表示 $x=\cosh t,y=\sinh t$を回転・平行移動ã—ã¦ã„る。 + +optionã¨ã—ã¦ï¼Œ"Asy=線種" を与ãˆã‚‹ã¨ï¼Œæ¼¸è¿‘線を指定ã—ãŸç·šç¨®ã§è¡¨ç¤ºã™ã‚‹ã€‚ åˆæœŸè¨å®šã§ã¯æ¼¸è¿‘ç·šã¯éžè¡¨ç¤ºã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘点A,Bを焦点ã¨ã™ã‚‹åŒæ›²ç·šã‚’æã。 + +\verb|Hyperbolaplot("1",[A,B,C]);| 点Cを通るåŒæ›²ç·šã‚’æã。 + +\verb|Hyperbolaplot("1",[A,B,2]);| 焦点ã‹ã‚‰ã®è·é›¢ã®å·®ãŒ2ã®åŒæ›²ç·šã‚’æã。 + +\verb|Hyperbolaplot("1",[A,B,C],["Asy=do"]);| 漸近線を点線ã§æã。 + +\vspace{\baselineskip} +\hspace{20mm} \scalebox{0.9}{\input{Fig/hyper1}} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\vspace{\baselineskip} +\hypertarget{parabolaplot}{} +\item[関数] Parabolaplot(name，点リスト ,定義域, options) +\item[機能] 点リスト[A,B,C]ã§ç¤ºã•ã‚ŒãŸç„¦ç‚¹ï¼Œæº–ç·šã§æ±ºã¾ã‚‹æ”¾ç‰©ç·šã‚’æã。 +\item[説明] 焦点Aã¨æº–ç·šBCã§æ±ºå®šã™ã‚‹æ”¾ç‰©ç·šã‚’æã。 + + 実際ã«ã¯ï¼Œ2次関数 $y=x^2$ã®ã‚°ãƒ©ãƒ•ã‚’回転・平行移動ã—ã¦æã„ã¦ãŠã‚Šï¼Œå®šç¾©åŸŸã¯ï¼Œ$y=x^2$ã§ã®å®šç¾©åŸŸã¨è€ƒãˆã¦ã‚ˆã„。定義域ã¯çœç•¥ã™ã‚‹ã“ã¨ã‚‚ã§ãる。çœç•¥ã—ãŸã¨ãã®åˆæœŸå€¤ã¯[-5,5] + +\vspace{\baselineskip} +ã€ä¾‹ã€‘点Aを焦点，直線BCを準線ã¨ã™ã‚‹æ”¾ç‰©ç·šã‚’æã + +\hspace{10mm}\verb|Parabolaplot("1",[A,B,C]); | + +定義域を $-4 \leq x \leq 4$ ã¨ã™ã‚‹ã€‚ + +\hspace{10mm} \verb|Parabolaplot("1",[A,B,C],"[-4,4]");| + +点(0,1)を焦点，直線$y=-1$を準線ã¨ã™ã‚‹æ”¾ç‰©ç·šã‚’æã + +\hspace{10mm} \verb|Parabolaplot("1",[[0,1],[-1,-1],[1,-1]]);| + +\vspace{\baselineskip} +ã€ä¾‹ã€‘放物線上ã®2点ã§å¼•ã‹ã‚ŒãŸæŽ¥ç·šã¨æ”¾ç‰©ç·šã§å›²ã¾ã‚ŒãŸé ˜åŸŸã‚’斜線ã§æã。 + +Cinderellaã®ä½œå›³ãƒ„ールã«ï¼Œç„¦ç‚¹ã¨æº–ç·šã§æ”¾ç‰©ç·šã‚’æãã‚‚ã®ãŒã‚る。ã¾ãŸï¼Œç‚¹ã®æ¥µç·šã‚’æãツールãŒã‚る。（モードメニュー / ç›´ç·š / 点ã®æ¥µç·šï¼‰ã“れを利用ã™ã‚‹ã¨ï¼Œæ”¾ç‰©ç·šä¸Šã«ã¨ã£ãŸç‚¹ã‚’インシデントã«ã§ãã‚‹ã®ã§ï¼Œã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ã«å›³ã‚’変更ã™ã‚‹ã“ã¨ãŒã§ãる。ã“ã®Cinderellaã®ä½œå›³æ©Ÿèƒ½ã¨åˆã‚ã›ã¦ï¼Œæ¬¡ã®æ‰‹é †ã§å›³ã‚’æã。 + +ã¾ãšï¼Œç„¦ç‚¹A(0,1)ã¨æº–ç·š$y=-1$：BCを作図ã™ã‚‹ã€‚次ã«ã€Œç„¦ç‚¹ã¨æº–ç·šã§æ±ºã¾ã‚‹æ”¾ç‰©ç·šã€ãƒ„ールをé¸ã³ï¼Œç‚¹Aã¨ç›´ç·šBCを指定ã™ã‚‹ã¨ï¼Œæ”¾ç‰©ç·šãŒæã‹ã‚Œã‚‹ã€‚方程å¼ã§ã¯$y=\dfrac{1}{4}x^2$ã®æ”¾ç‰©ç·šã§ã‚る。 + +次ã«ï¼Œæ”¾ç‰©ç·šä¸Šã«ç‚¹D,Eã‚’ã¨ã‚‹ã€‚Cinderellaã®ä½œå›³æ©Ÿèƒ½ã‚’用ã„ã¦ã„ã‚‹ã®ã§ï¼Œã“ã®2点ã¯æ”¾ç‰©ç·šä¸Šã ã‘ã‚’å‹•ã‹ã™ã“ã¨ãŒã§ãる。（インシデント） + +モードメニューã®ã€Œç›´ç·šã€ã‹ã‚‰ã€Œç‚¹ã®æ¥µç·šã€ã‚’é¸ã³ï¼Œç‚¹Dã¨æ”¾ç‰©ç·šï¼Œç‚¹Eã¨æ”¾ç‰©ç·šã‚’é †ã«æŒ‡å®šã™ã‚‹ã¨æŽ¥ç·šãŒå¼•ã‹ã‚Œã‚‹ã€‚ãã®äº¤ç‚¹ã«ç‚¹ã‚’å–る。 + +\vspace{\baselineskip} +\begin{center} \includegraphics[bb=0 0 482.02 413.02 , width=6cm]{Fig/parabolaplot.pdf} \end{center} + +\vspace{\baselineskip} + 以上ã§ä½œå›³ãŒã§ããŸã®ã§ï¼Œæ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トを書ã„ã¦å®Ÿè¡Œã™ã‚‹ã€‚ +\begin{verbatim} + Parabolaplot("1",[A,B,C]); + Lineplot([D,F]); + Lineplot([E,F]); + Hatchdata("1",["iii"],[["gr1para","s"],["lnEF","n"],["lnDF","n"]]); +\end{verbatim} + +ã“ã‚Œã§ï¼Œæ¬¡å›³ãŒã§ãる。ã“ã®ã‚ã¨ï¼Œæ–‡å—ãªã©ã¯é©å½“ã«è¿½åŠ ã™ã‚‹ã€‚ + +\vspace{\baselineskip} +\begin{center} \input{Fig/parabolaplot}\end{center} + +ãªãŠï¼ŒCinderellaã®ä½œå›³ãƒ„ールã§æ”¾ç‰©ç·šã‚’æã‹ãšï¼Œç„¦ç‚¹Aã¨æº–線上ã®ç‚¹B,Cã ã‘を用æ„ã—ã¦ï¼Œæ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トã§æãã“ã¨ã‚‚ã§ãる。 +\begin{verbatim} + Parabolaplot("1",[A,B,C]); + Putoncurve("D","gr1para"); + Putoncurve("E","gr1para"); + Tangentplot("1","gr1para","x="+D.x); + Tangentplot("2","gr1para","x="+E.x); + Hatchdata("1",["iii"],[["gr1para","s"],["lntn1","n"],["lntn2","n"]]); +\end{verbatim} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +%\vspace{\baselineskip} +\hypertarget{ovaldata}{} +\item[関数] Ovaldata(name, 点リスト,options) +\item[機能] 角を丸ãã—ãŸçŸ©å½¢ã‚’æã +\item[説明] ä¸å¿ƒã¨å¯¾è§’ã®ï¼‘点を指定ã—，角を丸ãã—ãŸçŸ©å½¢ã‚’æã + +optionsã¯ï¼Œè§’ã®è½ã¨ã—å…·åˆã¨ç·šç¨®ãªã©ã€‚ åˆæœŸè¨å®šã¯0.2 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘ã„ãã¤ã‹ã®ä¾‹ã‚’示ã™ã€‚ +\begin{verbatim} + Ovaldata("1", [A,B]); + Ovaldata("2", [C,D],[0]); + Ovaldata("3", [E,F],[1,"dr,3"]); + Ovaldata("4", [G,H],[1.5,"da"]); +\end{verbatim} +\begin{center} \input{Fig/ovaldata}\end{center} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +%\newpage +\end{description} +% ====== 関数ã®ã‚°ãƒ©ãƒ• ============== +\subsubsection{関数ã®ã‚°ãƒ©ãƒ•} +\begin{description} + +\vspace{\baselineskip} +\hypertarget{plotdata}{} +\item[関数] Plotdata(name , å¼ , 変数ã¨å®šç¾©åŸŸ , options) +\item[機能] 関数ã®ã‚°ãƒ©ãƒ•ã‚’æã。プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®åå‰ã¯ï¼Œgr +\item[説明] å¼ã§è¡¨ã•ã‚ŒãŸé–¢æ•°ã®ã‚°ãƒ©ãƒ•ã‚’，指定ã•ã‚ŒãŸå®šç¾©åŸŸã§æã。 + +å¼ï¼Œå®šç¾©åŸŸã¯ " " ã§ããã£ã¦æ–‡å—列ã¨ã™ã‚‹ã€‚定義域ã¯x=ã«ç¶šã„ã¦ãƒªã‚¹ãƒˆã§æŒ‡å®šã€‚ + +options ã¯æ¬¡ã®é€šã‚Šã€‚ +\begin{tabbing} +12345678901234567890123\=\kill + 線種 \>"dr, n" , "da,m,n" , "do,m,n"\\ + "Num=数値" \>æ画時ã®åˆ†å‰²æ•°\\ + "Dis=数値" \>値ãŒæŒ‡å®šæ•°å€¤ä»¥ä¸Šã‚¸ãƒ£ãƒ³ãƒ—ã™ã‚‹å ´åˆã¯ä¸é€£ç¶šç‚¹ã¨ã¿ãªã™ã€‚\\ + "Exc=数値リスト \>リストã§ç¤ºã•ã‚ŒãŸç‚¹ã¯é™¤å¤–ã™ã‚‹ã€‚\\ + "Exc=関数" \>関数ã®é›¶ç‚¹ã¯é™¤å¤–ã™ã‚‹ã€‚\\ + "Color=RGB" \>色指定。RGBã¯CMYKã§ã‚‚よã„。 \end{tabbing} -例：原点ä¸å¿ƒï¼ŒåŠå¾„ï¼’ã®å††ã‚’æã　\verb|Circledata("1",[[0,0],[2,0]]);|\\ -　　Aä¸å¿ƒï¼ŒåŠå¾„ABã®å†† ã‚’æã　\verb|Circledata([A,B]);|\\ -　　Aä¸å¿ƒï¼ŒåŠå¾„ï¼’ã®å†† ã‚’æã　\verb|Circledata([A,A+[2,0]]);|\\ -　　３点A,B,Cを通る円をæã　　\verb|Circledata([A,B,C]);|\\ -　　　ã“ã®å ´åˆï¼Œã§ããŸå††ã®ä¸å¿ƒã‚’ \verb|Pointdata("1",[crABCcenter]);| ã§\\ -　　　作図ã§ãる。\\ -　　下図左より，Aä¸å¿ƒï¼ŒåŠå¾„ABã®å†† ã‚’\\ -　　　太ã•ï¼’ã®å®Ÿç·šã§æã　\verb|Circledata([A,B],["dr,2"]);|\\ -ã€€ã€€ã€€ç ´ç·šã§æã　　　　　\verb|Circledata([A,B],["da"]);|\\ -　　　点線ã§æã　　　　　\verb|Circledata([A,B],["do"]);|\\ -　\\ -\input{Fig/circledata1} -　\\ -例：Aä¸å¿ƒï¼ŒåŠå¾„AB，ä¸å¿ƒè§’60°ã®å¼§ã‚’æã。\\ -　　\verb|Circledata([A,B],["Rng=[0,pi/3]"]); |\\ -　ã“ã®ã¨ã，扇型をæãã®ã§ã‚ã‚Œã°ï¼Œ2本ã®åŠå¾„を引ãå¿…è¦ãŒã‚る。ãã®ãŸã‚ã«ã¯ï¼ŒAãŒåŽŸç‚¹ï¼ŒBãŒx軸上ã«ã‚ã‚Œã°ï¼Œç‚¹A,B以外ã«ã‚‚ã†ã²ã¨ã¤ç‚¹Cã‚’ã¨ã‚Šï¼Œãã®ä½ç½®ã‚’ CindyScript を用ã„㦠-\begin{verbatim} -　　C.xy=|A,B|*[cos(pi/3),sin(pi/3)] -\end{verbatim} - ã§æŒ‡å®šã—，扇型ãŒã§ããŸã®ã‚’確ã‹ã‚ã¦ã‹ã‚‰ï¼Œ\verb|Listplot([B,A,C])| ã‚’ä»˜åŠ ã™ã‚Œã°ã‚ˆã„。\\ -\\ -　　　　　　　\input{Fig/circledata2}\\ -\\ -　辺ABãŒ$x$軸ã¨å¹³è¡Œã§ãªã„å ´åˆã¯ï¼Œè§’ã®ç¯„囲ã¯ï¼ã‹ã‚‰ã§ã¯ãªã，ABãŒ$x$軸ã¨ãªã™è§’ã‹ã‚‰å§‹ã‚ã‚‹å¿…è¦ãŒã‚り，ã¡ã‚‡ã£ã¨ã—ãŸå·¥å¤«ãŒå¿…è¦ã§ã‚る。ä¸å¿ƒAãŒåŽŸç‚¹ã§ãªã„å ´åˆã‚‚å«ã‚，次ã®ã‚ˆã†ãªã‚¹ã‚¯ãƒªãƒ—トã§å®Ÿç¾ã§ãる。\begin{verbatim} -　　th=arctan2(B.xy-A.xy); -　　str="Rng=["+text(th+0)+","+text(th+pi/3)+"]"; -　　C.xy=A.xy+|A,B|*[cos(th+pi/3),sin(th+pi/3)]; -　　Circledata([A,B],[str]); -　　Listplot([B,A,C]); -\end{verbatim} -１行目ã¯ï¼ŒABãŒ$x$軸ã¨ãªã™è§’ã‚’ arctan2 関数 ã«ã‚ˆã£ã¦æ±‚ã‚ã¦ã„る。\\ -２行目ã¯å¼•æ•°ã®æ–‡å—列を作ã£ã¦ã„る。th+0 , th+pi/3 ã«ã‚ˆã‚Šå¼§åº¦æ³•ã«ã—ã¦ã„る。ã“ã“ã§ï¼Œ+0 ãŒå¿…è¦ã§ã‚る。\\ -\\ -　　　　　　　\input{Fig/circledata3}\\ -\\ -複数ã®ã‚ªãƒ—ションをリストã§ä¸Žãˆã‚‹ã“ã¨ã‚‚ã§ãる。\\ + ã€ä¾‹ã€‘2次関数 $f(x)=x^2-2x$ ã®ã‚°ãƒ©ãƒ•ã‚’定義域指定ãªã—ã§æã。 + +\hspace{10mm} \verb|Plotdata("1","x^2-2*x","x");| -例：弧を太ãæã\\ -　　\verb|Circledata([C,D],["dr,3","Rng=[0,pi/3]"]);|\\ +\vspace{\baselineskip} +\hspace{20mm} \scalebox{0.9}{\input{Fig/plotdata1}} -　円ã¯NãŒå¤§ããªå€¤ã®æ£N多角形ã¨ã—ã¦æã„ã¦ã„る。optionã® ["Num=数値"] ã«ã‚ˆã£ã¦ãã®ç´°ã‹ã•ã‚’指定ã§ãる。Nã®å€¤ãŒå°ã•ã‘ã‚Œã°æ£å¤šè§’å½¢ãŒæã‘ã‚‹ã“ã¨ã«ãªã‚‹ã€‚\\ -例：Aä¸å¿ƒï¼ŒåŠå¾„ABã®å††ã¨ï¼Œãã®å††ã«å†…接ã™ã‚‹æ£å…角形 + \verb|Plotdata("1","x^2-2*x","x",["Color=[1,0,0]"]);| + +ã¨ã™ã‚‹ã¨èµ¤ã§æã‹ã‚Œã‚‹ã€‚ + +\vspace{\baselineskip} + ã€ä¾‹ã€‘三角関数 $2\sin \left(2x-\dfrac{\pi}{4} \right)$ ã®ã‚°ãƒ©ãƒ•ã‚’，定義域 $0 \leq x \leq 2 \pi$ã§æã。 + +\hspace{10mm} \verb|Plotdata("3","2*sin(2*x-pi/4)","x=[0,2*pi]");| + +\vspace{\baselineskip} +\hspace{20mm} \input{Fig/plotdata2} + +%\vspace{\baselineskip} + CindyScript ã§ã¯ï¼Œplot( å¼ , 定義域 ); ã§æããŒï¼Œ \ketcindy を用ã„ã‚‹ã¨ãã¯ï¼ŒCindyScript ã®plot 関数ã®ã‹ã‚ã‚Šã«ï¼Œã“ã®Plotdata を使ãˆã°ã‚ˆã„。 + +軸ã«æ•°å—を入れるã®ã§ã‚ã‚Œã°ï¼ŒLetter() を用ã„る。 + +\vspace{\baselineskip} +optionsã®ä½¿ç”¨ä¾‹ +\begin{tabbing} +1234\=567890123456789012345678901234567890123456\=\kill + \> \verb|Plotdata("1","sin(x)+3","x");| \> åˆæœŸè¨å®š\\ + \> \verb|Plotdata("2","sin(x)+2","x",["dr,2"]);| \> åŒã˜ã，太ã•2ã§æã\\ + \> \verb|Plotdata("3","sin(x)+1","x",["da"]);| \> åŒã˜ãï¼Œç ´ç·šã§æã\\ + \> \verb|Plotdata("4","sin(x)","x",["do"]);| \> åŒã˜ã，点線ã§æã + \end{tabbing} +çµæžœã¯æ¬¡å›³ä¸Šã‹ã‚‰ã€‚ + +\vspace{\baselineskip} +\hspace{20mm} \scalebox{0.9}{\input{Fig/plotdata3}} + +Num=分割数ã®æŒ‡å®š + +グラフã®æç”»ã¯ï¼ŒåŒºé–“を分割ã—ã¦é–¢æ•°å€¤ã‚’ã¨ã‚Šï¼Œå„点をçµã¶ã¨ã„ã†é€šå¸¸ã®æ–¹æ³•ã«ã‚ˆã£ã¦ã„る。Nã®æŒ‡å®šã¯ã“ã®åˆ†å‰²æ•°ã®æŒ‡å®šã§ã‚る。 åˆæœŸè¨å®šã¯50。æ€ã†ã‚ˆã†ãªçµæžœãŒå¾—られãªã„å ´åˆã¯ã“ã®å€¤ã‚’大ãã指定ã™ã‚‹ã¨ã‚ˆã„。下図左㯠åˆæœŸè¨å®šï¼Œå³ã¯ Num=200。 + +\vspace{\baselineskip} +\hspace{20mm}\scalebox{0.8}{ \input{Fig/plotdata4}} + +ä¸é€£ç¶šç‚¹ã®æŒ‡å®š + +Dis オプションã«ã‚ˆã‚Šï¼Œå€¤ãŒã‚¸ãƒ£ãƒ³ãƒ—ã™ã‚‹ä¸é€£ç¶šç‚¹ã‚’ç·šã§çµã°ãªã„よã†ã«ã™ã‚‹ã€‚Numオプションã¨åˆã‚ã›ã¦ä½¿ã†ã¨åŠ¹æžœãŒä¸ŠãŒã‚‹ã€‚ + +\vspace{\baselineskip} + ã€ä¾‹ã€‘$f(x)=$tan$x$ ã®ã‚°ãƒ©ãƒ•ã¯ï¼Œãã®ã¾ã¾ã§ã¯ã‚ãŸã‹ã‚‚漸近線ãŒæã‹ã‚ŒãŸã‚ˆã†ã«ãªã‚‹ãŒï¼Œã“ã‚Œã¯ï¼Œä¸é€£ç¶šç‚¹ã®å‰å¾Œã‚’ãã®ã¾ã¾çµã‚“ã§ã„ã‚‹ãŸã‚ã§ã‚る。（下図左） \begin{verbatim} -　　Circledata("1",[A,B]); -　　Circledata("2",[A,B],["Num=6"]); + Plotdata("1","tan(x)","x",["Num=200","Dis=50"]); \end{verbatim} -　　　　　　　　\input{Fig/circledata4}\\ -ã“ã“ã§ï¼ŒåŒã˜[A,B]を使ã†ãŸã‚，nameを付与ã—ã¦åŒºåˆ¥ã™ã‚‹å¿…è¦ãŒã‚る。\\ -ã¾ãŸï¼Œé ‚点ã®ä½ç½®ã‚’変ãˆã‚‹ã®ã§ã‚ã‚Œã°ï¼ŒRng= オプションを使ã†ã€‚\\ -　　\verb|Circledata("2",[A,B],["Num=6","Rng=[pi/6,13/6*pi]"]);|\\ -　　　　　　　　\input{Fig/circledata5}\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +ã®ã‚ˆã†ã«ï¼Œ"Dis" オプションを使ãˆã°ä½™åˆ†ãªç·šãŒæã‹ã‚Œãªããªã‚‹ã€‚（下図å³ï¼‰ -\hypertarget{crosspoint}{} -\item[関数]　Crosspoint(name , PD1 ,PD2 , 範囲) -\item[機能]　2曲線ã®äº¤ç‚¹ã‚’作る -\item[説明]　曲線1ã¨æ›²ç·š2ã®ç¯„囲ã«ã‚る交点を作る。曲線１ã¨æ›²ç·šï¼’ã¯ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å称。\\ -範囲ã¯ï¼Œäº¤ç‚¹ãŒå˜åœ¨ã™ã‚‹ç¯„囲を指定ã™ã‚‹ã€‚\\ +\vspace{\baselineskip} +\hspace{20mm} \input{Fig/plotdatatan1}\hspace{20mm} \input{Fig/plotdatatan2} -例：3次曲線ã®æŽ¥ç·šãŒãã®æ›²ç·šã¨äº¤ã‚る点を求ã‚る。\\ -２点A,Bを作図ツールã§é©å½“ãªã¨ã“ã‚ã«ã¨ã‚Šï¼Œæ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トã§3次曲線をæã。 +\vspace{\baselineskip} +ã€ä¾‹ã€‘ã‚¬ã‚¦ã‚¹è¨˜å· [$x$] ã§è¡¨ã•ã‚Œã‚‹é–¢æ•°ï¼ˆåºŠé–¢æ•° : floor()）ã®ã‚°ãƒ©ãƒ•ã€‚ \begin{verbatim} -　　f(x):=x^3-4*x; -　　g(x):=d(f(#),A.x)*(x-A.x)+A.y; -　　A.y=f(A.x); -　　B.y=g(B.x); -　　Plotdata("1","f(x)","x"); -　　Lineplot([A,B]); + Plotdata("1","floor(x)","x",["Num=100","Dis=0.9"]); + Ptsize(3); + Drwxy(); + repeat(7,s,start -> -2, + Drwpt([s+1,s],0); + ); \end{verbatim} -１行目ã¨ï¼’行目ã§3次曲線ã¨ãã®æŽ¥ç·šã‚’定義ã—，点A,Bã‚’ãã®ä¸Šã«ä¹—ã›ã¦ã„る。\\ -Plotdata() 㨠Lineplot() ã«ã‚ˆã‚Šï¼Œ3次曲線ã¨æŽ¥ç·šã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ãŒã§ãる。\\ -ãã‚Œãžã‚Œã®å称ã¯ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«å‡ºåŠ›ã•ã‚Œã‚‹ã€‚3次曲線㯠gr1 , 接線㯠lnAB ã§ã‚る。\\ -ã¾ãŸï¼Œå›³ã‚’見ã¦ï¼Œäº¤ç‚¹ã®ã‚ã‚‹å ´æ‰€ã‚’ç¢ºèªã—ã¦ç¯„囲を決ã‚る。\\ -プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åã¨ç¯„囲を用ã„ã¦æ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—ãƒˆã‚’è¿½åŠ ã™ã‚‹ã€‚\\ -　　\verb|Crosspoint("C",gr1,lnAB,[1,2]);|\\ +\hspace{40mm}\input{Fig/plotdata5} -ã“ã‚Œã§ï¼Œäº¤ç‚¹ï¼£ãŒæ–°ãŸã«ä½œã‚‰ã‚Œã‚‹ã€‚\\ -å¿…è¦ã«å¿œã˜ï¼ŒLetter関数ã§ç‚¹ã®åå‰ã‚’表示ã™ã‚‹ã¨æ¬¡ã®ã‚ˆã†ã«ãªã‚‹ã€‚\\ -\\ -　　　　　　　　\input{Fig/crosspoint}\\ -　\\ -交点ãŒå˜åœ¨ã—ãªã„å ´åˆï¼ŒPD1ã®ç«¯ç‚¹ã«ç‚¹ãŒä½œã‚‰ã‚Œã‚‹ã€‚\\ -２曲線ã®äº¤ç‚¹ã‚’作るã®ã«ï¼Œ\hyperlink{putintersect}{Putintersect(点å,PD1,PD2)} 関数を用ã„ã‚‹ã“ã¨ã‚‚ã§ãる。\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{\baselineskip} + 関数ã«æ–‡å—ä¿‚æ•°ãŒã¤ã„ã¦ãŠã‚Šï¼Œæ–‡å—ä¿‚æ•°ã®å€¤ã‚’変化ã•ã›ãªãŒã‚‰ã‚°ãƒ©ãƒ•ã‚’æãã«ã¯ï¼ŒAssign を使ã†ã‹ï¼ŒDefvar ã§å¤‰æ•°ã‚’定義ã™ã‚‹ã€‚ + +\vspace{\baselineskip} + ã€ä¾‹ã€‘ç›´ç·š $y=bx-b^2$ ã®ä¿‚æ•°$b$を変化ã•ã›ã¦æã，包絡線をã†ã‹ã³ã‚ãŒã‚‰ã›ã‚‹ã€‚ +\begin{verbatim} + repeat(50,t, + cb=t/5-5; + Plotdata(text(t),Assign("b*x-b^2","b",cb),"x"); + ); +\end{verbatim} +\begin{layer}{150}{0} +\putnotese{80}{0}{\input{Fig/assign}} +\end{layer} + +ã¾ãŸã¯ +\begin{verbatim} + Defvar("b"); + repeat(50,t, + b=t/5-5; + Plotdata(text(t),"b*x-b^2","x"); + ); +\end{verbatim} + +\vspace{\baselineskip} +\hypertarget{implicitplot}{} +\item[関数] Implicitplot(name,å¼,xã®å®šç¾©åŸŸ,yã®å®šç¾©åŸŸ, options) +\item[機能] 陰関数ã®ã‚°ãƒ©ãƒ•ã‚’æã。 +\item[説明] 陰関数ã®å¼ã‚’与ãˆã¦ã‚°ãƒ©ãƒ•ã‚’æã。å¼ï¼Œå®šç¾©åŸŸã¨ã‚‚æ–‡å—列。 + +options ã¯ï¼Œ"r","m","Wait=n" ãŒæŒ‡å®šã§ãる。Wait ã®åˆæœŸå€¤ã¯10。 + +"r","m"ã«é–¢ã—ã¦ã¯ï¼Œã‚ªãƒ—ションãªã—ã®ã¨ã + + i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る + + ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれをèªã¿è¾¼ã‚€ + +"m" ã®ã¨ã，強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚ + +"r" ã®ã¨ã，ã™ã§ã«ã‚るデータファイルをèªã¿è¾¼ã‚€ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘楕円をæã。 +\begin{verbatim} + Implicitplot("1","x^2-x*y+2*y^2=4","x=[-3,3]","y=[-2,2]"); +\end{verbatim} + +\vspace{\baselineskip} +\hspace{20mm}\input{Fig/implicit1} + +\vspace{\baselineskip} \hypertarget{deqplot}{} -\item[関数]　Deqplot(name,å¼ï¼Œå¤‰æ•°å，åˆæœŸå€¤ï¼Œoptions) -\item[機能]　微分方程å¼ã®è§£æ›²ç·šã‚’æã -\item[説明]　微分方程å¼ã¨åˆæœŸå€¤ã‚’与ãˆã¦è§£æ›²ç·šã‚’æã。\\ -　\\ -例：$y''=-y$ã§ï¼ŒåˆæœŸå€¤ãŒ$x=0$ã®ã¨ã$y=1,y'=0$ ã®è§£æ›²ç·š\\ +\item[関数] Deqplot(name,å¼ï¼Œå¤‰æ•°å，åˆæœŸå€¤ï¼Œoptions) +\item[機能] 微分方程å¼ã®è§£æ›²ç·šã‚’æã +\item[説明] 微分方程å¼ã¨åˆæœŸå€¤ã‚’与ãˆã¦è§£æ›²ç·šã‚’æã。 -　　\verb|Deqplot("1","y``=-y","x",0, [1,0]); |\\ +\vspace{\baselineskip} +ã€ä¾‹ã€‘$y''=-y$ã§ï¼ŒåˆæœŸå€¤ãŒ$x=0$ã®ã¨ã$y=1,y'=0$ ã®è§£æ›²ç·š -　　　　　　　\input{Fig/deqplot1}\\ + \verb|Deqplot("1","y``=-y","x",0, [1,0]); | + +注） \verb|`| ã¯ãƒãƒƒã‚¯ã‚¯ã‚¦ã‚©ãƒ¼ãƒˆã€‚ã“ã“ã‹ã‚‰ã‚«ãƒƒãƒˆã‚¢ãƒ³ãƒ‰ãƒšãƒ¼ã‚¹ãƒˆã™ã‚‹ã¨ãã¯æ³¨æ„。 -例：$y'=y*(1-y)$ã§ï¼Œ$x=0$ã®ã¨ã，$y=0.5$ã®è§£æ›²ç·š\\ +\vspace{\baselineskip} +\hspace{20mm} \input{Fig/deqplot1} -　　\verb|Deqplot("2","y`=y*(1-y)","x",0, 0.5,["Num=100"]);| \\ +\vspace{\baselineskip} +ã€ä¾‹ã€‘$y'=y*(1-y)$ã§ï¼Œ$x=0$ã®ã¨ã，$y=0.5$ã®è§£æ›²ç·š + + \verb|Deqplot("2","y`=y*(1-y)","x",0, 0.5,["Num=100"]);| + +\vspace{\baselineskip} +\hspace{20mm} \input{Fig/deqplot2} -　　　　　　　\input{Fig/deqplot2}\\ +\vspace{\baselineskip} -例：$[x,y]'=[x(1-y),0.3y(x-1)]$ã§ï¼Œå¤‰æ•°ã¯$t$，$t=0$（区間ã®å·¦ç«¯ï¼‰ã®ã¨ãã®$x, y$ã®å€¤ãŒ1ã¨0.5 ã§ã‚ã‚‹ã¨ãã®è§£æ›²ç·š +ã€ä¾‹ã€‘$[x,y]'=[x(1-y),0.3y(x-1)]$ã§ï¼Œå¤‰æ•°ã¯$t$，$t=0$（区間ã®å·¦ç«¯ï¼‰ã®ã¨ãã®$x, y$ã®å€¤ãŒ1ã¨0.5 ã§ã‚ã‚‹ã¨ãã®è§£æ›²ç·š \begin{verbatim} -　　　Deqplot("3","[x,y]`=[x*(1-y),0.3*y*(x-1)]","t=[0,20]", -　　　　　　　　　　　　　　　　　[1,0.5],["Num=200"]); + Deqplot("3","[x,y]`=[x*(1-y),0.3*y*(x-1)]","t=[0,20]", + [1,0.5],["Num=200"]); \end{verbatim} -　\\ -　　　　　　　\input{Fig/deqplot3}\\ -　\\ -　ãªãŠï¼Œã“ã®ä¾‹ã§ã¯ï¼ŒCinderellaã®ç”»é¢ä¸Šã®å›³ã¯èª¤å·®ãŒå¤§ããã¦æ£ç¢ºãªå›³ã«ã¯ãªã‚‰ãªã„ãŒï¼Œ\TeX ã«å‡ºåŠ›ã™ã‚‹å›³ã¯æ£ç¢ºãªå›³ã«ãªã‚‹ã€‚解åƒåº¦ã‚’上ã’ã‚‹(Numã®æ•°ã‚’大ããã™ã‚‹)ã“ã¨ã«ã‚ˆã‚Šï¼ŒCinderellaã®ç”»é¢ä¸Šã®å›³ã‚‚æ£ç¢ºãªå›³ã«è¿‘ã¥ã。\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{\baselineskip} +\hspace{20mm} \input{Fig/deqplot3} -\hypertarget{drwpt}{} -\item[関数]　Drwpt(点,option）, Drawpoint(点,options) -\item[機能]　点を表示ã™ã‚‹ -\item[説明]　座標ã¾ãŸã¯å¹¾ä½•ç‚¹ã®è˜åˆ¥åを与ãˆã¦ç‚¹ã‚’表示ã™ã‚‹ã€‚ã“ã‚Œã ã‘ã§ã¯Cinderellaã®æç”»é¢ã«ã¯æã‹ã‚Œãªã„ã®ã§ï¼Œæç”»é¢ã«ã‚‚表示ã™ã‚‹ã«ã¯Cinderellaã®ä½œå›³ãƒ„ールã§ä½œå›³ã™ã‚‹ã‹ï¼ŒPointdata() ã¾ãŸã¯ Putpoint() を用ã„る。\\ -　複数ã®ç‚¹ã®å ´åˆã¯åº§æ¨™ã¾ãŸã¯è˜åˆ¥åã¯ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚\\ -　optionã«æ•°å— 0 を入れるã¨ï¼Œç™½æŠœãã§è¡¨ç¤ºã™ã‚‹ã€‚ãªãŠç™½æŠœãã®å ´åˆã¯ï¼ŒPtsize()ã§ç‚¹ã®å¤§ãã•ã‚’å°‘ã—大ãã‚ã«ã¨ã‚‹ã¨ã‚ˆã„。\\ -　å¯èªæ€§ã‚’高ã‚ã‚‹ã¨ãã¯Drawpointを推奨ã™ã‚‹ã€‚\\ +\vspace{\baselineskip} +\hypertarget{paramplot}{} +\item[関数] Paramplot(name , å¼ , 変数ã¨å®šç¾©åŸŸ,options) +\item[機能] 媒介変数表示ã®æ›²ç·šã‚’æã。 +\item[説明] å¼ã¯""ã§ããã£ãŸåª’介変数表示ã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚ + +定義域も " " ã§ããã£ã¦æ–‡å—列ã¨ã—，t=ã«ç¶šã„ã¦ãƒªã‚¹ãƒˆã§æŒ‡å®šã™ã‚‹ã€‚ + +options ã¯ç·šç¨®ãŒæœ‰åŠ¹ -例：座標(1,1)ã¨(4,3)ã«ç‚¹ã‚’表示ã™ã‚‹ã€‚Cinderellaã®æç”»é¢ã«ã¯æã‹ã‚Œãªã„。\\ -　　　\verb|Drwpt([[1,1],[4,3]]);|\\ +\vspace{\baselineskip} +ã€ä¾‹ã€‘サイクãƒã‚¤ãƒ‰æ›²ç·šã‚’æã。 -例：Cinderellaã§ç‚¹A,B,Cを作図ã—ã¦ãŠã，\TeX ã§è¡¨ç¤ºã™ã‚‹ã€‚\\ -　　　\verb|Drwpt([A,B,C]); |\\ +\hspace{10mm} \verb|Paramplot("1","[t-sin(t),1-cos(t)]","t=[0,2*pi]");| -例：線分ABã®å³ç«¯ï¼ˆB）を白抜ãã§è¡¨ç¤ºã™ã‚‹ +\vspace{\baselineskip} +\hspace{20mm} \input{Fig/paramplot1} + +\vspace{\baselineskip} +ã€ä¾‹ã€‘optionsã®ä½¿ç”¨ä¾‹ã€‚å·¦ã‹ã‚‰ï¼Œ åˆæœŸè¨å®šï¼Œå¤ªç·šï¼Œç ´ç·šï¼Œç‚¹ç·šã®æ¥•å†† \begin{verbatim} -　　　Ptsize(5); -　　　Listplot([A,B]); -　　　Drawpoint(B,0); + Paramplot("1","[2*cos(t)-5,sin(t)]","t=[0,2*pi]"); + Paramplot("2","[2*cos(t),sin(t)]","t=[0,2*pi]",["dr,2"]); + Paramplot("3","[2*cos(t)+5,sin(t)]","t=[0,2*pi]",["da"]); + Paramplot("4","[2*cos(t)+10,sin(t)]","t=[0,2*pi]",["do"]); \end{verbatim} -　\\ -　　　　\input{Fig/drawpoint}\\ -※　Drawpoint([A,B],0); ã¨ã™ã‚Œã°ï¼Œä¸¡ç«¯ãŒç™½æŠœãã«ãªã‚‹ã€‚\\ -\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\begin{center} \input{Fig/paramplot2} \end{center} + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\vspace{\baselineskip} +\hypertarget{polarplot}{} +\item[関数] Polarplot(name , å¼ , 変数ã¨å®šç¾©åŸŸ,options) +\item[機能] 極座標表示$r=f(\theta)$ã®æ›²ç·šã‚’æã。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘カージオイド曲線をæã。 + +\hspace{20mm}\verb|Polarplot("1","2*(1+cos(t))","t=[0,2*pi]",["Num=200"]);| + +\vspace{\baselineskip} +\begin{center}\scalebox{0.9}{\input{Fig/cardioid1}}\end{center} + +\vspace{\baselineskip} +\hypertarget{periodfun}{} +\item[関数] Periodfun(定義å¼,周期,options) +\item[機能] 周期関数ã®ã‚°ãƒ©ãƒ•ã‚’æã。戻り値ã¯Maximaå½¢å¼ã®å¼ã¨periodã®ãƒªã‚¹ãƒˆã€‚ +\item[説明] 周期関数ã®å¼ã‚’定義ã—ã¦ã‚°ãƒ©ãƒ•ã‚’æã。 +定義å¼ã¯ï¼Œé–¢æ•°å¼ï¼ˆæ–‡å—列），区間，分割数ã®ãƒªã‚¹ãƒˆã€‚ + +ã“ã®é–¢æ•°å›ºæœ‰ã®ã‚ªãƒ—ション㯠"Con=" ã§ï¼Œä¸é€£ç¶šç‚¹ã‚’ç·šã§çµã¶ã‹å¦ã‹ã¨ï¼Œãã®æ™‚ã®è‰²ã€‚ + åˆæœŸè¨å®šã¯ç ´ç·šã€‚çµã°ãªã„å ´åˆã¯ "Con=n"，色指定ã¯ç·šç¨®ã«ç¶šã„ã¦ã‚³ãƒ³ãƒžã§åŒºåˆ‡ã£ã¦æŒ‡å®šã™ã‚‹ã€‚ãŸã¨ãˆã°ï¼Œ"Con=do,Color=red"。 + +周期（æ画回数）ã¯ï¼Œæ•°ã¾ãŸã¯ãƒªã‚¹ãƒˆã§æŒ‡å®šã™ã‚‹ã€‚周期ãŒmã®ã¨ã，2m+1周期分æã‹ã‚Œã‚‹ã€‚ + + +注æ„）関数ã¯å·¦å³å¯¾ç§°ãªå®šç¾©åŸŸ [-a,a] ã§å®šç¾©ã™ã‚‹ã“ã¨ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘矩形関数ã®ã‚°ãƒ©ãƒ• -\hypertarget{drawsegmark}{} -\item[関数]　Drawsegmark(name,リスト,options）ã¾ãŸã¯ Segmark(name,リスト,options） -\item[機能]　線分ã«å°ã‚’ã¤ã‘ã‚‹ -\item[説明]　リストã§ä¸Žãˆã‚‰ã‚ŒãŸï¼’点を端点ã¨ã™ã‚‹ç·šåˆ†ã«å°ã‚’ã¤ã‘る。å°ã«ã¯ï¼”種類ãŒã‚る。\\ -　optionsã¯ï¼Œ\\ -　　Type=n：n=1〜4：å°ã®ç¨®é¡ž\\ -　　Width：二本線ã®ã¨ãã®ç·šã®å¹…\\ -　例：Listplot()ã§å››è§’å½¢ABCDã‚’æã線分ã«å°ã‚’ã¤ã‘ãŸã€‚ \begin{verbatim} -　　　Segmark("1",[A,B],["Type=1"]); -　　　Segmark("2",[B,C],["Type=2","Width=1.5"]); -　　　Segmark("3",[C,D],["Type=3"]); -　　　Segmark("4",[D,A],["Type=4"]); + defL=["0",[-1,0],1,"1",[0,1],1]; + Periodfun(defL, 2,["dr,2"]); + memori=apply(-5..5,x,[x,text(x)]); + memori=flatten(remove(memori,[[0,"0"]])); + Htickmark(memori); + Vtickmark([1,"1"]); \end{verbatim} -　　　　\input{Fig/segmark} -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\hspace{20mm}\input{Fig/periodfun.tex} -\hypertarget{expr}{} -\item[関数]　Expr([座標 , ä½ç½® , æ–‡å—列]) -\item[機能]　\TeX 記法ã®æ–‡å—列を与ãˆã¦æ•°å¼ã‚’書ã。 -\item[説明]　Letterã§æ–‡å—列ã®å‰å¾Œã«\$ \$ã‚’ãŠãã®ã¨åŒã˜ã€‚\\ -　導関数ã®è¨˜å·ï¼ˆã‚·ãƒ³ã‚°ãƒ«ã‚¯ã‚¦ã‚©ãƒ¼ãƒˆï¼‰$'$ã¯ï¼ŒScilab ã§ã®ã‚·ãƒ³ã‚°ãƒ«ã‚¯ã‚¦ã‚©ãƒ¼ãƒˆã®ä½¿ç”¨ã¨ã¶ã¤ã‹ã‚‹ã®ã§ï¼Œ$`$（ãƒãƒƒã‚¯ã‚¯ã‚¦ã‚©ãƒ¼ãƒˆï¼‰ã‚’用ã„る。\\ -　複数ã®ç®‡æ‰€ã«æ–‡å—を書ãå ´åˆã¯ï¼ŒLetter() ã¨åŒæ§˜ï¼Œå¼•æ•°ã‚’リストã«ã—ã¦ä¸Žãˆã‚‹ã€‚\\ +\vspace{\baselineskip} +一方を放物線ã«ã—ãŸå ´åˆ +\begin{verbatim} + defL=["0",[-1,0],1,"x^2",[0,1],50]; + Periodfun(defL, 2, ["Con=n","dr,2"]); + memori=apply(-5..5,x,[x,text(x)]); + memori=flatten(remove(memori,[[0,"0"]])); + Htickmark(memori); + Vtickmark([1,"1"]); +\end{verbatim} -例　$f(x)=\dfrac{1}{4} x^2$ ã¨ãã®å°Žé–¢æ•° $f'(x)=\dfrac{1}{2} x$ ã®å¼ï¼Œè»¸ä¸Šã«å¿…è¦ãªæ•°ã‚’入れる。 +\hspace{20mm}\input{Fig/periodfun2.tex} + +\vspace{\baselineskip} +\hypertarget{fourierseries}{} +\item[関数] Fourierseries(name,ä¿‚æ•°,周期,é …æ•°) +\item[機能] フーリエ級数ã®ã‚°ãƒ©ãƒ•ã‚’æã。 +\item[説明] $a_0+\displaystyle{\sum _{n=1} ^{\infty}(a_n \cos nx + b_n \sin nx)}$ ã‚’æã。 +係数㯠$a_0,a_n,b_n$ ã®ãƒªã‚¹ãƒˆã§ï¼Œãã‚Œãžã‚Œã®è¦ç´ ã¯æ–‡å—列ã¨ã™ã‚‹ã€‚ + +ã“ã®é–¢æ•°å›ºæœ‰ã®ã‚ªãƒ—ション㯠"Con=y/n" ã§ï¼Œä¸é€£ç¶šç‚¹ã‚’ç ´ç·šã§çµã¶ã‹å¦ã‹ã€‚ åˆæœŸè¨å®šã¯ y。 + +矩形波ã®ãƒ•ãƒ¼ãƒªã‚¨è¿‘ä¼¼ã®ã‚ˆã†ãªå ´åˆã¯ï¼Œã‚ªãƒ—ションã¨ã—ã¦ï¼Œ["Num=200"]（100以上ã®å€¤ã‚’指定）をã¤ã‘ã‚‹ã¨ã‚ˆã„。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘矩形波ã®ãƒ•ãƒ¼ãƒªã‚¨è¿‘ä¼¼ \begin{verbatim} -　　　Expr([[-3,3],"e","f(x)=\frac{1}{4} x^2",[3,1.5],"s2e2", -　　　　　　"f‘(x)=\frac{1}{2}x",[2,0],"s","2",[0,1],"w","1"]); + Fourierseries("1",["1/2","0","(1-(-1)^n)/(pi*n)"],2,6,["Num=200"]); \end{verbatim} -　\\ -　　　　　\input{Fig/expr}\\ -　　※原点OãŒç·šã¨é‡ãªã£ã¦ã„る。ä½ç½®ã‚’ãšã‚‰ã™ã«ã¯ï¼ŒSetax() ã®é …ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ +\begin{center} +\input{Fig/fourierseries.tex} +\end{center} + +\vspace{\baselineskip} +\hypertarget{tangentplot}{} +\item[関数] Tangentplot(name , PD , ä½ç½® , options) +\item[機能] 接線をæã。プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®åå‰ã¯ï¼Œlntn +\item[説明] 曲線PDã®æŒ‡å®šã—ãŸä½ç½®ã§ã®æŽ¥ç·šã‚’æã。ä½ç½®ã¯ "x=n" ã§æŒ‡å®šã™ã‚‹ã€‚ + +使用例ã¯\hyperlink{parabolaplot}{Parabolaplot}ã®ä¾‹ã‚’å‚照。 + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -例　対数関数ã®å®šç©åˆ†ã®è¨˜å·ãŠã‚ˆã³ç©åˆ†å€¤ã‚’図ã«æ›¸ã込む。\\ -　　下図ã§ï¼Œå®šç©åˆ†ã®è¡¨ç¤ºã®éƒ¨åˆ†ã¯çŸ¢ç·šã‚’PQã¨ã—ã¦ï¼Œ +\end{description} +%\newpage +% ====== æ–‡å— ============== +\subsubsection{æ–‡å—} +\begin{description} + +\vspace{\baselineskip} +\hypertarget{expr}{} +\item[関数] Expr([座標 , ä½ç½® , æ–‡å—列]) +\item[機能] \TeX 記法ã®æ–‡å—列を与ãˆã¦æ•°å¼ã‚’書ã。 +\item[説明] Letterã§æ–‡å—列ã®å‰å¾Œã«\$ \$ã‚’ãŠãã®ã¨åŒã˜ã€‚ + +導関数ã®è¨˜å·ã¯ï¼Œ$'$（シングルクウォート）を用ã„る。 + +複数ã®ç®‡æ‰€ã«æ–‡å—を書ãå ´åˆã¯ï¼ŒLetter() ã¨åŒæ§˜ï¼Œå¼•æ•°ã‚’リストã«ã—ã¦ä¸Žãˆã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘ $f(x)=\dfrac{1}{4} x^2$ ã¨ãã®å°Žé–¢æ•° $f'(x)=\dfrac{1}{2} x$ ã®å¼ï¼Œè»¸ä¸Šã«å¿…è¦ãªæ•°ã‚’入れる。 \begin{verbatim} -　　　Arrowdata(Q,P); -　　　Expr([Q+[0.2,0],"ne","\displaystyle \int_a^b \log x\,dx="+ -　　　　　　text(L.x*(log(L.x)-1)-G.x*(log(G.x)-1)) ]); + Expr([[-3,3],"e","f(x)=\frac{1}{4} x^2",[3,1.5],"s2e2", + "f‘(x)=\frac{1}{2}x",[2,0],"s","2",[0,1],"w","1"]); \end{verbatim} -　　ã§è¡¨ç¤ºã—ã¦ã„る。\\ -　　\verb|L.x*(log(L.x)-1)-G.x*(log(G.x)-1)| ã¯ï¼Œç‚¹L,G(図ã®$a,b$)をドラッグã—ã¦\\ -　　ç©åˆ†ç¯„囲を決ã‚るよã†ã«ã—ã¦ã„ã‚‹ã®ã§ï¼Œãã“ã‹ã‚‰è¨ˆç®—ã—ãŸå€¤ã€‚\\ -\\ +\vspace{\baselineskip} + \begin{center} \input{Fig/expr}\end{center} -　　　　　\input{Fig/intlog} +ã€ä¾‹ã€‘ 対数関数ã®å®šç©åˆ†ã®è¨˜å·ãŠã‚ˆã³ç©åˆ†å€¤ã‚’図ã«æ›¸ã込む。 +\begin{verbatim} + Expr([Q+[0.2,0],"ne","\displaystyle \int_a^b \log x\,dx="+ + text(L.x*(log(L.x)-1)-G.x*(log(G.x)-1)) ]); +\end{verbatim} + + \verb|L.x*(log(L.x)-1)-G.x*(log(G.x)-1)| ã¯ï¼Œç‚¹L,G(図ã®$a,b$)をドラッグã—㦠+ + ç©åˆ†ç¯„囲を決ã‚るよã†ã«ã—ã¦ã„ã‚‹ã®ã§ï¼Œãã“ã‹ã‚‰è¨ˆç®—ã—ãŸå€¤ã€‚ + + 矢線㯠\verb| Arrowdata(Q,P); | ã§è¡¨ç¤ºã—ã¦ã„る。矢線ã®å§‹ç‚¹ãŒQ +\vspace{\baselineskip} +\begin{center} \input{Fig/intlog}\end{center} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{\baselineskip} \hypertarget{exprrot}{} -\item[関数]　Exprrot([座標 , å‘ã , æ–‡å—列]) -\item[機能]　\TeX 記法ã®æ–‡å—列を与ãˆã¦å‚¾ã„ãŸæ•°å¼ã‚’書ã。 -\item[説明]　「座標ã€ã®ä½ç½®ã«ï¼ŒæŒ‡å®šã•ã‚ŒãŸå‘ãã§æ•°å¼ã‚’書ã。\\ -　å‘ãã¯ãƒ™ã‚¯ãƒˆãƒ«ã§ä¸Žãˆã‚‹ã€‚\\ -　座標，å‘ãã¨ã‚‚，Cinderellaã§ä½œå›³ã—ãŸå¹¾ä½•ç‚¹ã‚’用ã„ã‚‹ã“ã¨ãŒã§ãる。\\ -　A(1,1),B(3,2),C(0,2) ã®ã¨ã，次ã®ï¼’ã¤ã®ã‚¹ã‚¯ãƒªãƒ—トã¯åŒã˜çµæžœã«ãªã‚‹ã€‚ +\item[関数] Exprrot([座標 , å‘ã , æ–¹å‘，文å—列]) +\item[機能] \TeX 記法ã®æ–‡å—列を与ãˆã¦å‚¾ã„ãŸæ•°å¼ã‚’書ã。 +\item[説明] 「座標ã€ã®ä½ç½®ã«ï¼ŒæŒ‡å®šã•ã‚ŒãŸå‘ãã§æ•°å¼ã‚’書ã。 + +å‘ãã¯ãƒ™ã‚¯ãƒˆãƒ«ã§ä¸Žãˆã‚‹ã€‚ + +æ–¹å‘ã¯ã‚ªãƒ—ションã§ï¼Œ t (ベクトルã¨åŒã˜å‘ã) 㨠n（ベクトルã¨åž‚ç›´ãªå‘ã） ã®ä¸¡æ–¹ã‚’æ•°å—ã¤ãã§ä¸Žãˆã‚‹ã€‚ãŸã ã—，方å‘ã¯ã‚ªãƒ—ション。 + +座標，å‘ãã¨ã‚‚，Cinderellaã§ä½œå›³ã—ãŸå¹¾ä½•ç‚¹ã‚’用ã„ã‚‹ã“ã¨ãŒã§ãる。 + \begin{verbatim} -　　　Exprrot(C,B-A,"\sqrt{3}"); -　　　Exprrot([0,2],[2,1],"\sqrt{3}"); + Exprrot([3,2],[2,-1],"t0n1","\sqrt{3}"); + Exprrot(C,B-A,"\frac{2}{3}"); \end{verbatim} -　\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{\baselineskip} +\hspace{10mm}\includegraphics[bb=0.00 0.00 181.01 131.01,width=4cm]{Fig/exprrot.pdf} \hspace{10mm} \input{Fig/exprrot} -\hypertarget{ellipseplot}{} -\item[関数]　Ellipseplot(name,点リスト ,定義域, options) -\item[機能]　焦点ã¨é€šã‚‹ç‚¹ã‚’与ãˆã¦æ¥•å††ã‚’æã。 -\item[説明]　点リストã§ï¼’ã¤ã®ç„¦ç‚¹ã¨é€šã‚‹ç‚¹ã‚’与ãˆã‚‹ã€‚点ã¯Cinderellaã®å¹¾ä½•ç‚¹ãŒä½¿ãˆã‚‹ã€‚\\ -　ã¾ãŸï¼Œé€šã‚‹ç‚¹ã®ã‹ã‚ã‚Šã«ï¼Œç„¦ç‚¹ã‹ã‚‰ã®è·é›¢ã®å’Œã‚’実数ã§ä¸Žãˆã‚‹ã“ã¨ã‚‚ã§ãる。\\ -　実際ã«ã¯ï¼Œåª’介変数表示$x=a \cos \theta,x=b \sin \theta$ を，回転・平行移動ã—ã¦æã„ã¦ã„る。定義域ã¯ã“ã®ã¨ãã®$t$ã®å®šç¾©åŸŸã§ï¼Œçœç•¥ã‚‚å¯èƒ½ã€‚çœç•¥ã—ãŸã¨ãã®åˆæœŸå€¤ã¯[-5,5]\\ - -例：点A,Bを焦点ã¨ã™ã‚‹æ¥•å††ã‚’æã。\\ -　　\verb|Ellipseplot("1",[A,B,C]);|　 点Cを通る楕円をæã。\\ -　　\verb|Ellipseplot("1",[A,B,4]);| 　焦点ã‹ã‚‰ã®è·é›¢ã®å’ŒãŒï¼”ã§ã‚る楕円をæã。\\ -　　\verb|Ellipseplot("1",[A,B,C],"[0,pi]");| 　楕円ã®åŠåˆ†ã‚’æã。\\ -　\\ -例：Cinderellaã®ä½œå›³ãƒ„ールã«ï¼Œç„¦ç‚¹ã¨é€šã‚‹ç‚¹ã§æ¥•å††ã‚’æãã‚‚ã®ãŒã‚る。ã¾ãŸï¼Œç‚¹ã®æ¥µç·šã‚’æãツールãŒã‚る。ã“れを利用ã™ã‚‹ã¨ï¼Œæ¥•å††ä¸Šã«ã¨ã£ãŸç‚¹ã‚’インシデントã«ã§ãã‚‹ã®ã§ï¼Œã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ã«å›³ã‚’変更ã™ã‚‹ã“ã¨ãŒã§ãる。ã“ã®Cinderellaã®ä½œå›³æ©Ÿèƒ½ã¨åˆã‚ã›ã¦ï¼Œä¸€æ–¹ã®ç„¦ç‚¹ã‹ã‚‰å‡ºãŸå…‰ãŒæ¥•å††ä¸Šã§åå°„ã—ã¦ä»–æ–¹ã®ç„¦ç‚¹ã«è‡³ã‚‹ï¼Œã¨ã„ã†å›³ã‚’次ã®ã‚ˆã†ã«ã—ã¦æãã“ã¨ãŒã§ãる。\\ -　ã¾ãšï¼Œï¼“ã¤ã®ç‚¹A,B,Cを作図ã™ã‚‹ã€‚次ã«ã€Œç„¦ç‚¹ã¨é€šã‚‹ç‚¹ã§æ±ºã¾ã‚‹æ¥•å††ã€ãƒ„ールをé¸ã³ï¼Œç‚¹A,B,Cã‚’é †ã«æŒ‡å®šã™ã‚‹ã¨ï¼Œæ¥•å††ãŒæã‹ã‚Œã‚‹ã€‚\\ - -　モードメニューã®ã€Œç›´ç·šã€ã‹ã‚‰ã€Œç‚¹ã®æ¥µç·šã€ã‚’é¸ã³ï¼Œç‚¹Cã¨æ¥•å††ã‚’é †ã«æŒ‡å®šã™ã‚‹ã¨æŽ¥ç·šãŒå¼•ã‹ã‚Œã‚‹ã€‚\\ -ã€€ã€Œåž‚ç·šã‚’åŠ ãˆã‚‹ã€ãƒ„ールを用ã„ã¦ï¼Œç‚¹Cã§åž‚線，ã™ãªã‚ã¡æ³•ç·šã‚’引ã。\\ -ã€€ã€Œç‚¹ã‚’åŠ ãˆã‚‹ã€ãƒ„ールを用ã„ã¦ï¼ŒæŽ¥ç·šï¼Œæ³•ç·šä¸Šã«é©å½“ã«ç‚¹ã‚’å–る。(D,Eã¨ãªã£ãŸã¨ã™ã‚‹)\\ -　次ã®ã‚¹ã‚¯ãƒªãƒ—トを書ã„ã¦å®Ÿè¡Œã™ã‚‹ã¨ï¼Œæ¥•å††ã«é–¢ã—ã¦å…¥å°„角ã¨å射角ãŒç‰ã—ããªã‚‹ã‚ˆã†ã«å…‰ãŒåå°„ã™ã‚‹æ§˜åを図ã«ã™ã‚‹ã“ã¨ãŒã§ãる。 -\begin{verbatim} -　　Ellipseplot("1",[A,B,C]); -　　Lineplot([C,D]); -　　Lineplot([C,E]); -　　Arrowdata([A,C]); -　　Arrowdata([C,B]); -　　Anglemark([A,C,B]); -　　Expr([A,"s2","F_1",B,"s2","F_2"]); -\end{verbatim} -　\\ -　　\input{Fig/ellipseplot1}\\ - -　ã¾ãŸï¼ŒæŽ¥ç·šï¼Œæ³•ç·šã‚’æã‹ãšï¼Œã“ã®æ¥•å††ä¸Šã«ç‚¹D,E,・・をã¨ã‚Šï¼ˆå€‹æ•°ã¯ä»»æ„）次ã®ã‚¹ã‚¯ãƒªãƒ—トを書ã‘ã°ï¼Œä½•æœ¬ã‹ã®å…‰ç·šãŒä¸€æ–¹ã®ç„¦ç‚¹ã‚’出ã¦ä»–æ–¹ã®ç„¦ç‚¹ã«é›†ã¾ã‚‹æ§˜åã‚’æãã“ã¨ãŒã§ãる。 -\begin{verbatim} -　　Ellipseplot("1",[A,B,C]); -　　Listplot([A,C,B]); -　　Listplot([A,D,B]); -　　Listplot([A,E,B]); -　　Expr([A,"s2","F_1",B,"s2","F_2"]); -\end{verbatim} -　\\ -　　\input{Fig/ellipseplot2}\\ -　\\ +\vspace{\baselineskip} +\hypertarget{letter}{}\item[関数] Letter([ä½ç½®, æ–¹å‘, æ–‡å—列]) +\item[機能] æ–‡å—列を表示ã™ã‚‹ +\item[説明] 「ä½ç½®ï¼ˆåº§æ¨™ï¼‰ã€ã¨æ–¹å‘ã§æŒ‡å®šã•ã‚ŒãŸå ´æ‰€ã«æ–‡å—を書ã込む。 -\hypertarget{framedata}{} -\item[関数]　Framedata(name , リスト) -\item[関数]　Framedata2(name ,[P1,P2]) -\item[機能]　矩形をæã -\item[説明]　ä¸å¿ƒã®åº§æ¨™ï¼Œæ¨ªï¼Œç¸¦ã‚’リスト[ä¸å¿ƒ ,横 , 縦]ã§ä¸Žãˆï¼ŒçŸ©å½¢ã‚’æã。横，縦ã¯ä¸å¿ƒã‹ã‚‰ã®è·é›¢ã€‚\\ -　ä¸å¿ƒã®åº§æ¨™ã¯ç‚¹ã®åå‰ã§ã‚‚よã„。\\ -　ä¸å¿ƒã‚’座標ã§ä¸Žãˆã‚‹å ´åˆã¯nameã¯çœç•¥ã§ããªã„。\\ -　横，縦ã¯ï¼ŒçŸ©å½¢ã®é ‚点を示ã™ç‚¹ã«ã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ -　ä¸å¿ƒï¼Œæ¨ªï¼Œç¸¦ã‚’çœç•¥ã—ãŸå ´åˆã¯ï¼Œæ画範囲ã¨åŒä¸€ã®çŸ©å½¢ã‚’æã\\ -　Framedata2() ã§ã¯ï¼Œå¯¾è§’点（左下P1ã¨å³ä¸ŠP2）をリストã§ä¸Žãˆã‚‹ã€‚\\ -　以下ã«ã„ãã¤ã‹ä¾‹ã‚’示ã™\\ -　\verb|Framedata("1");|　　　　　　æ画範囲ã¨åŒä¸€ã®çŸ©å½¢ã‚’æã\\ -　\verb|Framedata("2",[[0,0],2,2]);|　　原点をä¸å¿ƒã¨ã™ã‚‹ç¸¦æ¨ªå¹…ï¼”ã®æ£æ–¹å½¢ã‚’æã\\ -　\verb|Framedata("3",[A,3,2]);|　　 　点Aã‚’ä¸å¿ƒã¨ã™ã‚‹æ¨ªï¼–，縦４ã®çŸ©å½¢ã‚’æã\\ -　\verb|Framedata([A,3,2]);|　　ä¸å¿ƒãŒç‚¹ã®å称ã®å ´åˆã¯nameã¯çœç•¥ã§ãる。\\ -　\verb|Framedata([A,B]);|　　 点Aã‚’ä¸å¿ƒï¼Œç‚¹Bã‚’é ‚ç‚¹ã®ã²ã¨ã¤ã¨ã™ã‚‹çŸ©å½¢ã‚’æã\\ -　　　　矩形ã®è§’を丸ã‚ãŸã„å ´åˆã¯ï¼ŒOvaldata(name, 点リスト,options)を使ã†ã€‚\\ -　\verb|Framedata2("1",[A,B]);|　 点A，Bを対角点ã¨ã™ã‚‹çŸ©å½¢ã‚’æã\\ -　\\ +ä½ç½®ï¼ˆåº§æ¨™ï¼‰ã¯ç‚¹ã®åå‰ã§æŒ‡å®šã™ã‚‹ã“ã¨ã‚‚ã§ãる。 -\hypertarget{hyperbolaplot}{} -\item[関数]　Hyperbolaplot(name,点リスト ,定義域, options) -\item[機能]　焦点ã¨é€šã‚‹ç‚¹ã‚’与ãˆã¦åŒæ›²ç·šã‚’æã。 -\item[説明]　点リストã§ï¼’ã¤ã®ç„¦ç‚¹ã¨é€šã‚‹ç‚¹ã‚’与ãˆã‚‹ã€‚点ã¯Cinderellaã®å¹¾ä½•ç‚¹ãŒä½¿ãˆã‚‹ã€‚ã¾ãŸï¼Œé€šã‚‹ç‚¹ã®ã‹ã‚ã‚Šã«ï¼Œç„¦ç‚¹ã‹ã‚‰ã®è·é›¢ã®å·®ã‚’実数ã§ä¸Žãˆã‚‹ã“ã¨ã‚‚ã§ãる。\\ -　実際ã«ã¯ï¼Œãƒã‚¤ãƒ‘ボリック関数を用ã„ãŸåª’介変数表示 $x=\cosh t,y=\sinh t$を回転・平行移動ã—ã¦ã„る。 -　optionã¨ã—ã¦ï¼Œ"Asy=線種"　を与ãˆã‚‹ã¨ï¼Œæ¼¸è¿‘線を指定ã—ãŸç·šç¨®ã§è¡¨ç¤ºã™ã‚‹ã€‚デフォルトã§ã¯æ¼¸è¿‘ç·šã¯éžè¡¨ç¤ºã€‚\\ +å ´æ‰€ã¯ä¸Šä¸‹å·¦å³ã‚’æ±è¥¿å—北ã§è¡¨ã—， n/s/w/e/c ã®æ–¹å‘ã§è¡¨ã™ã€‚cã¯ä¸å¤®ã€‚ -例：点A,Bを焦点ã¨ã™ã‚‹åŒæ›²ç·šã‚’æã。\\ -　　\verb|Hyperbolaplot("1",[A,B,C]);| 　　点Cを通るåŒæ›²ç·šã‚’æã。\\ -　　\verb|Hyperbolaplot("1",[A,B,2]);| 　　焦点ã‹ã‚‰ã®è·é›¢ã®å·®ãŒ2ã®åŒæ›²ç·šã‚’æã。\\ -　　\verb|Hyperbolaplot("1",[A,B,C],["Asy=do"]);| 　漸近線を点線ã§æã。\\ +% \begin{center} \input{Fig/letter4} +指定ä½ç½®ã‹ã‚‰ã®è·é›¢ã‚’，数値ã§ä¸Žãˆã‚‹ã“ã¨ã‚‚ã§ã，e2, e3 㯠e より少ã—離ã—ã¦ç½®ã。 -　　　　　\input{Fig/hyper1}\\ +複数ã®æ–‡å—列をリストã®å½¢ã«ã—ã¦æ¸¡ã™ã“ã¨ãŒã§ãる。 -\hypertarget{ospline}{} -\item[関数]　Ospline(åå‰ï¼Œåˆ¶å¾¡ç‚¹ãƒªã‚¹ãƒˆï¼Œ[オプション] ) -\item[機能]　大島ã®spline曲線をæã -\item[説明]　制御点を通るスプライン曲線をæã\\ -　リストã®æœ€åˆã¨æœ€å¾ŒãŒåŒã˜å ´åˆã¯é–‰æ›²ç·šã«ãªã‚‹ã€‚\\ + 注）導関数ã®è¨˜å·$'$ã¯ï¼Œæ•°å¼ãƒ¢ãƒ¼ãƒ‰ï¼ˆ\$ ã§ã¯ã•ã‚€ï¼‰ã§$'$（シングルクウォート）を用ã„る。 +\vspace{\baselineskip} +ã€ä¾‹ã€‘ -例：\verb|Ospline("1",[A,B,C,D,E]);|　　　　　\verb|Ospline("1",[A,B,C,D,A]);|\\ -　　　\input{Fig/ospline1}　　　　\input{Fig/ospline2} -　\\ -　　　　　　　　　　　　　　　　å‚照：\hyperlink{bspline}{Bspline：Ｂスプラインをæã} \\ +座標 (2,1) ã®å—æ±ã«ï¼°ã‚’表示 -\hypertarget{parabolaplot}{} -\item[関数]　Parabolaplot(name，点リスト ,定義域, options) -\item[機能]　点リスト[A,B,C]ã§ç¤ºã•ã‚ŒãŸç„¦ç‚¹ï¼Œæº–ç·šã§æ±ºã¾ã‚‹æ”¾ç‰©ç·šã‚’æã。 -\item[説明]　焦点Aã¨æº–ç·šBCã§æ±ºå®šã™ã‚‹æ”¾ç‰©ç·šã‚’æã。\\ -　実際ã«ã¯ï¼Œï¼’次関数 $y=x^2$ã®ã‚°ãƒ©ãƒ•ã‚’回転・平行移動ã—ã¦æã„ã¦ãŠã‚Šï¼Œå®šç¾©åŸŸã¯ï¼Œ$y=x^2$ã§ã®å®šç¾©åŸŸã¨è€ƒãˆã¦ã‚ˆã„。定義域ã¯çœç•¥ã™ã‚‹ã“ã¨ã‚‚ã§ãる。çœç•¥ã—ãŸã¨ãã®åˆæœŸå€¤ã¯[-5,5]\\ - -例：点Aを焦点，直線BCを準線ã¨ã™ã‚‹æ”¾ç‰©ç·šã‚’æã\\ -　　　\verb|Parabolaplot("1",[A,B,C]); |\\ -　　　\verb|Parabolaplot("1",[A,B,C],"[-5,5]");| 　定義域を $-5 \leq x \leq 5$ ã¨ã™ã‚‹ã€‚\\ -　　点(0,1)を焦点，直線$y=-1$を準線ã¨ã™ã‚‹æ”¾ç‰©ç·šã‚’æã\\ -　　　\verb|Parabolaplot("1",[[0,1],[-1,-1],[1,-1]]);|\\ -　\\ -例：放物線上ã®ï¼’点ã§å¼•ã‹ã‚ŒãŸæŽ¥ç·šã¨æ”¾ç‰©ç·šã§å›²ã¾ã‚ŒãŸé ˜åŸŸã‚’斜線ã§æã。\\ -　Cinderellaã®ä½œå›³ãƒ„ールã«ï¼Œç„¦ç‚¹ã¨æº–ç·šã§æ”¾ç‰©ç·šã‚’æãã‚‚ã®ãŒã‚る。ã¾ãŸï¼Œç‚¹ã®æ¥µç·šã‚’æãツールãŒã‚る。ã“れを利用ã™ã‚‹ã¨ï¼Œæ”¾ç‰©ç·šä¸Šã«ã¨ã£ãŸç‚¹ã‚’インシデントã«ã§ãã‚‹ã®ã§ï¼Œã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ã«å›³ã‚’変更ã™ã‚‹ã“ã¨ãŒã§ãる。ã“ã®Cinderellaã®ä½œå›³æ©Ÿèƒ½ã¨åˆã‚ã›ã¦ï¼Œæ¬¡ã®æ‰‹é †ã§å›³ã‚’æã。\\ -　ã¾ãšï¼Œç„¦ç‚¹A(0,1)ã¨æº–ç·š$y=1$：BCを作図ã™ã‚‹ã€‚次ã«ã€Œç„¦ç‚¹ã¨æº–ç·šã§æ±ºã¾ã‚‹æ”¾ç‰©ç·šã€ãƒ„ールをé¸ã³ï¼Œç‚¹Aã¨ç›´ç·šBCを指定ã™ã‚‹ã¨ï¼Œæ”¾ç‰©ç·šãŒæã‹ã‚Œã‚‹ã€‚方程å¼ã§ã¯$y=\dfrac{1}{4}x^2$ã®æ”¾ç‰©ç·šã§ã‚る。\\ -　次ã«ï¼Œæ”¾ç‰©ç·šä¸Šã«ç‚¹D,Eã‚’ã¨ã‚‹ã€‚Cinderellaã®ä½œå›³æ©Ÿèƒ½ã‚’用ã„ã¦ã„ã‚‹ã®ã§ï¼Œã“ã®ï¼’点ã¯æ”¾ç‰©ç·šä¸Šã ã‘ã‚’å‹•ã‹ã™ã“ã¨ãŒã§ãる。（インシデント）\\ -　モードメニューã®ã€Œç›´ç·šã€ã‹ã‚‰ã€Œç‚¹ã®æ¥µç·šã€ã‚’é¸ã³ï¼Œç‚¹Dã¨æ”¾ç‰©ç·šï¼Œç‚¹Eã¨æ”¾ç‰©ç·šã‚’é †ã«æŒ‡å®šã™ã‚‹ã¨æŽ¥ç·šãŒå¼•ã‹ã‚Œã‚‹ã€‚ãã®äº¤ç‚¹ã«ç‚¹ã‚’å–る。\\ -　\\ -　　　　　　\includegraphics[bb=0 0 964 826 , width=6cm]{Fig/parabolaplot.png}\\ -　\\ -　以上ã§ä½œå›³ãŒã§ããŸã®ã§ï¼Œæ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トを書ã„ã¦å®Ÿè¡Œã™ã‚‹ã€‚ -\begin{verbatim} -　　Parabolaplot("1",[A,B,C]); -　　Lineplot([D,F]); -　　Lineplot([E,F]); -　　Listplot([E,F,D]); -　　Hatchdata("1",["ii"],[["gr1para","s"],["sgEFD","n"]]); -\end{verbatim} -　\\ -　ã“ã‚Œã§ï¼Œæ¬¡å›³ãŒã§ãる。ã“ã®ã‚ã¨ï¼Œæ–‡å—ãªã©ã¯é©å½“ã«è¿½åŠ ã™ã‚‹ã€‚\\ -　\\ -　　　　　　　　　　　\input{Fig/parabolaplot} -　\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -　\\ -\hypertarget{ovaldata}{} -\item[関数]　Ovaldata(name, 点リスト,options) -\item[機能]　角を丸ãã—ãŸçŸ©å½¢ã‚’æã -\item[説明]　ä¸å¿ƒã¨å¯¾è§’ã®ï¼‘点を指定ã—，角を丸ãã—ãŸçŸ©å½¢ã‚’æã\\ -　optionsã¯ï¼Œè§’ã®è½ã¨ã—å…·åˆã¨ç·šç¨®ãªã©ã€‚デフォルトã¯0.2 \\ +\hspace{10mm} \verb|Letter([[2,1] ,"se","P"]);| + +点Ｃをä¸å¤®ã¨ã—ã¦ï¼£ã‚’表示 + +\hspace{10mm} \verb|Letter([C ,"c", "C"]);| + +点Aã®å—西ã«A，Eã®å—ã«æ•°å¼ã‚’表示 + +\hspace{10mm} \verb|Letter([A,"sw","A",E,"s","$ f(x)=\frac{1}{4} x^2 $"]);| + +\vspace{\baselineskip} +\hypertarget{letterrot}{}\item[関数] Letterrot(座標, æ–¹å‘ベクトル,移動é‡, æ–‡å—列) +\item[機能] æ–‡å—列を回転ã—ã¦è¡¨ç¤ºã™ã‚‹ +\item[説明] 座標ã§ç¤ºã•ã‚ŒãŸä½ç½®ã«ï¼Œæ–¹å‘ベクトルã§æŒ‡å®šã•ã‚ŒãŸå‘ãã«å›žè»¢ã—ã¦æ–‡å—を書ã込む。 + +第3引数ã¯å¾®å°ç§»å‹•é‡ã§ï¼Œç•¥ã™ã“ã¨ã‚‚ã§ãる。 -例：ã„ãã¤ã‹ã®ä¾‹ã‚’示ã™ã€‚ \begin{verbatim} -　　Ovaldata("1", [A,B]); -　　Ovaldata("2", [C,D],[0]); -　　Ovaldata("3", [E,F],[1,"dr,3"]); -　　Ovaldata("4", [G,H],[1.5,"da"]); + Letterrot(C,B-A,"t2n5","AB"); \end{verbatim} -　\input{Fig/ovaldata}\\ -　\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\hypertarget{htickmark}{} -\item[関数]　Htickmark([横座標 , æ–¹å‘ , æ–‡å—]) -\item[機能]　横軸ã«ç›®ç››ã‚’書ã。 -\item[説明]　Scilabã®ã¿ã§å®Ÿè¡Œã™ã‚‹ã€‚Cinderellaã®æç”»é¢ã«ã¯åæ˜ ã•ã‚Œãªã„。引数ã¯ä½ç½®ï¼ˆæ¨ªåº§æ¨™ï¼‰ï¼Œæ–¹å‘，文å—。複数点ã®æƒ…å ±ã‚’[ ]内ã«ã¾ã¨ã‚ã¦è¨˜å…¥ã§ãる。\\ +移動é‡ã‚’ç•¥ã—㦠+ +\hspace{10mm} \verb|Letterrot(C,B-A,"AB");| -例　点$(2,\ 0)$ã®å—西å´ã«$2$を表示ã™ã‚‹ã€‚\\ -　　\verb|Htickmark([2,"sw","2"]);|\\ +ã¨ã™ã‚‹ã“ã¨ã‚‚ã§ãる。ã“ã®å ´åˆã¯ï¼Œå¾®å°ãªç§»å‹•ã¯ã•ã‚Œãªã„。 -例　-5ã‹ã‚‰5ã¾ã§ã®ç›®ç››ã‚’打ã¤ã€‚\\ -　Cindyscriptã®ãƒªã‚¹ãƒˆå‡¦ç†ã‚’使ã£ã¦ï¼Œæ¬¡ã®ã‚ˆã†ã«å¼•æ•°ã®ãƒªã‚¹ãƒˆã‚’作ã£ã¦æ¸¡ã™ã€‚ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\newpage +\end{description} +% ====== マーã‚ング ============== +\subsubsection{マーã‚ング} +\begin{description} + +\hypertarget{anglemark}{} +\item[関数] Anglemark(name,点リスト , options) +\item[機能] 点リストã§ç¤ºã•ã‚ŒãŸè§’ã«å¼§ã®å½¢çŠ¶ã®è§’ã®å°ã‚’ã¤ã‘る。 +\item[説明] Listplot() ãªã©ã¨åŒæ§˜ï¼Œç‚¹ãƒªã‚¹ãƒˆãŒç‚¹åã®å ´åˆã¯nameã¯çœç•¥ã§ãる。 + +optionsã¯æ¬¡ã®é€šã‚Šã€‚ + +数値 角ã®å°ã®å¤§ãã•ã€‚ åˆæœŸè¨å®šã¯ï¼‘ + +線種 "dr, n" , "da,m,n" , "do,m,n" + +"Expr=æ–‡å—" : æ–‡å—を入れる + +"Expr=ä½ç½® , æ–‡å—" : ä½ç½®ã‚’指定ã—ã¦æ–‡å—を入れる。ä½ç½®ã¯é ‚点ã‹ã‚‰ã®è·é›¢ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘三角形ã®å†…角ã«å°ã‚’ã„れ，文å—を書ã込む。 \begin{verbatim} -　　memori=apply(-5..5,x,[x,"s",text(x)]); -　　memori=flatten(remove(memori,[[0,"s","0"]])); -　　Htickmark(memori); + Listplot([A,B,C,A]); + Letter([A,"n1","A",B,"w1","B",C,"e1","C"]); + Anglemark([B,A,C]); + Anglemark([C,B,A],["Expr=\theta"]); + Anglemark([A,C,B],[2,"dr,3","Expr=2,\alpha"]); \end{verbatim} -　１行目，apply ã®ã‚«ãƒƒã‚³å†…ã® -5..5 ã§ãƒªã‚¹ãƒˆ[-5,-4,-3,-2,-1,0,1,2,3,4,5] ãŒã§ãる。\\ -　ãれを用ã„ã¦ï¼Œapplyã§[æ•°, "s",æ•°ã®æ–‡å—] ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆãŒã§ãる。text(x) ã¯xã‚’æ–‡å—ã«ã™ã‚‹é–¢æ•°ã€‚\\ -　２行目ã§ï¼Œã“ã®ãƒªã‚¹ãƒˆã‹ã‚‰ï¼Œ[0,"s","0"]を除ã，リストを平滑化ã™ã‚‹ã€‚\\ -　çµæžœã¯æ¬¡ã®ã‚ˆã†ã«ãªã‚‹ã€‚\\ -\input{Fig/htickmark}\\ +\hspace{20mm}\input{Fig/anglemark} -\hypertarget{vtickmark}{} -\item[関数]　Vtickmark([横座標 , æ–¹å‘ , æ–‡å—]) -\item[機能]　縦軸ã«ç›®ç››ã‚’書ã。 -\item[説明]　Htickmarkã¨åŒæ§˜ã€‚縦軸ã«ç›®ç››ã‚’書ã。\\ +※角ã®å°ã«ã¯å¹³è¡Œå››è¾ºå½¢ã®å½¢çŠ¶ã®ã‚‚ã®ã‚‚ã‚る。\hyperlink{paramark}{Paramark()}ã‚’å‚ç…§ã®ã“ã¨ã€‚ -例：点$(0,\ 1),\ (0,\ 2)$ã®è¥¿å´ã«$1,\ 2$を表示ã™ã‚‹ã€‚\\ -　　\verb|Htickmark([1,"w","1",2,"w","2"]);|\\ -\\ +\vspace{\baselineskip} +\hypertarget{paramark}{} +\item[関数] Paramark(name,点リスト , options) +\item[機能] 点リストã§ç¤ºã•ã‚ŒãŸè§’ã«å¹³è¡Œå››è¾ºå½¢ã®å½¢çŠ¶ã®è§’ã®å°ã‚’ã¤ã‘る。 +\item[説明] Listplot() ãªã©ã¨åŒæ§˜ï¼Œç‚¹ãƒªã‚¹ãƒˆãŒç‚¹åã®å ´åˆã¯nameã¯çœç•¥ã§ãる。 -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +optionsã¯æ¬¡ã®é€šã‚Šã€‚ -\hypertarget{implicitplot}{} -\item[関数]　Implicitplot(name,å¼,xã®å®šç¾©åŸŸ,yã®å®šç¾©åŸŸ, options) -\item[機能]　陰関数ã®ã‚°ãƒ©ãƒ•ã‚’æã。 -\item[説明]　陰関数ã®å¼ã‚’与ãˆã¦ã‚°ãƒ©ãƒ•ã‚’æã。å¼ï¼Œå®šç¾©åŸŸã¨ã‚‚æ–‡å—列。\\ -　options ã¯ï¼Œ"r","m","Wait=n" ãŒæŒ‡å®šã§ãる。Wait ã®åˆæœŸå€¤ã¯10。\\ -　"r","m"ã«é–¢ã—ã¦ã¯ï¼Œã‚ªãƒ—ションãªã—ã¾ãŸã¯ï¼Œâ€â€ ã®ã¨ã\\ -　　i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る\\ -　　ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれをèªã¿è¾¼ã‚€\\ -　"m" ã®ã¨ã，強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚\\ -　"r" ã®ã¨ã，ã™ã§ã«ã‚るデータファイルをèªã¿è¾¼ã‚€ã€‚\\ - -例：楕円をæã„ã¦ï¼Œä¸ã«ãƒãƒƒãƒã‚’ã‹ã‘る。 -\begin{verbatim} -　　Implicitplot("1","x^2+2*y^2=4","x=[-2,2]","y=[-2,2]"); -　　Hatchdata("1","i",["imp1"]); -\end{verbatim} -　注）ã“ã“ã§ï¼Œyã®å®šç¾©åŸŸã¯å®Ÿéš›ã‚ˆã‚Šåºƒãã¨ã£ã¦ã‚る。"y=[-1,1]" ã¨ã™ã‚‹ã¨ï¼Œä¸Šä¸‹ãŒæ¬ ã‘ãŸæ¥•å††ã«ãªã‚‹ã€‚曲線ã ã‘ãªã‚‰ãã‚Œã§ã‚ˆã„ãŒï¼Œãã®å ´åˆï¼Œé–‰æ›²ç·šã§ã¯ãªã„ã®ã§Hatchdata() ã§ç„¡ç”¨ã«æ™‚é–“ãŒã‹ã‹ã£ã¦ã—ã¾ã†ã®ã§è¦æ³¨æ„。\\ -　\\ - -\hypertarget{letter}{}\item[関数]　Letter([ä½ç½®, æ–¹å‘, æ–‡å—列]) -\item[機能]　文å—列を表示ã™ã‚‹ -\item[説明]　「ä½ç½®ï¼ˆåº§æ¨™ï¼‰ã€ã¨æ–¹å‘ã§æŒ‡å®šã•ã‚ŒãŸå ´æ‰€ã«æ–‡å—を書ã込む。\\ -　ä½ç½®ï¼ˆåº§æ¨™ï¼‰ã¯ç‚¹ã®åå‰ã§æŒ‡å®šã™ã‚‹ã“ã¨ã‚‚ã§ãã‚‹ã€‚å ´æ‰€ã¯ä¸Šä¸‹å·¦å³ä¸å¤®ï¼ˆ n/s/w/e/c )ã®æ–¹å‘ã§è¡¨ã™ã€‚（n/s/w/e ã¯æ±è¥¿å—北ã®è¨˜å·ï¼‰\\ -　\\ -　　　　　　　\input{Fig/letter4}\\ -　指定ä½ç½®ã‹ã‚‰ã®è·é›¢ã‚’，数値ã§ä¸Žãˆã‚‹ã“ã¨ã‚‚ã§ã，e2, e3 㯠e より少ã—離ã—ã¦ç½®ã。\\ -　複数ã®æ–‡å—列をリストã®å½¢ã«ã—ã¦æ¸¡ã™ã“ã¨ãŒã§ãる。\\ -　注）導関数ã®è¨˜å·$'$ã¯ï¼Œæ•°å¼ãƒ¢ãƒ¼ãƒ‰ï¼ˆ\$ ã§ã¯ã•ã‚€ï¼‰ã§$`$（ãƒãƒƒã‚¯ã‚¯ã‚¦ã‚©ãƒ¼ãƒˆï¼‰ã‚’用ã„る。\\ - -例：座標 (2,1) ã®å—æ±ã«ï¼°ã‚’表示\\ -　　　　\verb|Letter([2,1] ,"se","P");|\\ -　　点Ｃをä¸å¤®ã¨ã—ã¦ï¼£ã‚’表示\\ -　　　　\verb|Letter(C ,"c", "C");|\\ -　　点Aã®å—西ã«A，Eã®å—ã«æ•°å¼ã‚’表示\\ -　　　　\verb|Letter([A,"sw","A",E,"s","$ f(x)=\frac{1}{4} x^2 $"]);| \\ -　\\ -%\input{Fig/letter3} - -\hypertarget{letterrot}{}\item[関数]　Letterrot(座標, æ–¹å‘ベクトル,移動é‡, æ–‡å—列) -\item[機能]　文å—列を回転ã—ã¦è¡¨ç¤ºã™ã‚‹ -\item[説明]　座標ã§ç¤ºã•ã‚ŒãŸä½ç½®ã«ï¼Œæ–¹å‘ベクトルã§æŒ‡å®šã•ã‚ŒãŸå‘ãã«å›žè»¢ã—ã¦æ–‡å—を書ã込む。\\ -　第３引数ã¯å¾®å°ç§»å‹•é‡ã§ï¼Œç•¥ã™ã“ã¨ã‚‚ã§ãる。\\ -　A(1,1),B(3,2),C(0,2) ã®ã¨ã，次ã®ã‚¹ã‚¯ãƒªãƒ—トã¯åŒã˜çµæžœã«ãªã‚‹ã€‚ -\begin{verbatim} -　　　Letterrot([0,2],[2,1],2,5,"AB"); -　　　Letterrot([0,2],B-A,2,5,"AB"); -　　　Letterrot(C,B-A,2,5,"AB"); -　　　Letterrot(C,B-A,"t2n5","AB"); -\end{verbatim} -　移動é‡ã‚’ç•¥ã—ã¦\\ -　　　\verb|Letterrot(C,B-A,"AB");|\\ -　ã¨ã™ã‚‹ã“ã¨ã‚‚ã§ãる。ã“ã®å ´åˆã¯ï¼Œå¾®å°ãªç§»å‹•ã¯ã•ã‚Œãªã„。\\ - - -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +数値 角ã®å°ã®å¤§ãã•ã€‚ åˆæœŸè¨å®šã¯1 -\hypertarget{lineplot}{} -\item[関数]　Lineplot（name , 2点ã®ãƒªã‚¹ãƒˆ , options) -\item[機能]　２点ã®ãƒªã‚¹ãƒˆã§ç¤ºã•ã‚ŒãŸç‚¹ã‚’çµã¶ç›´ç·šã‚’æã。プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åã®é 部㯠ln -\item[説明]　２点ã®ãƒªã‚¹ãƒˆã¯åº§æ¨™ã¾ãŸã¯å¹¾ä½•è¦ç´ ã®åå‰ã§ä¸Žãˆã‚‹ã€‚\\ -　　options ã¯æ¬¡ã®é€šã‚Šã€‚\\ -　　　線種　　　"dr, n" , "da,m,n" , "do,m,n"\\ -　　　"+"　　 åŠç›´ç·šã‚’æã。\\ -　　"dr" , "da" , "do" 㨠"+" ã¯ãƒªã‚¹ãƒˆã«ã—ã¦ä¸¡æ–¹æŒ‡å®šã™ã‚‹ã“ã¨ãŒã§ãる。\\ -　点ã®ãƒªã‚¹ãƒˆãŒï¼Œåº§æ¨™ã§ã¯ãªã幾何è¦ç´ åã®ãƒªã‚¹ãƒˆã®å ´åˆã¯ï¼Œnameã¯çœç•¥ã§ãる。\\ -　ã„ãã¤ã‹ä¾‹ã‚’示ã™ã€‚\\ -　　　å„座標をçµã¶ç›´ç·šã‚’引ã\\ -　　　　　 \verb|Lineplot("1",[[0,0],[1,2]])|　\\ -　　　Cinderellaã®æ画ツールã§ï¼’点A,Bã‚’ã¨ã£ã¦ãŠã，直線ABを引ã\\ -　　　　　\verb|Lineplot([A,B]);| \\ -　optionã®åƒãã®ä¾‹\\ -　　　\verb|Lineplot([A,B],["dr,0.5","+"]);|　　Aを端点ã¨ã™ã‚‹åŠç›´ç·šã‚’引ã\\ -　　　\verb|Lineplot([C,D],["dr,2"]);|　　　　直線CDを太ã•2ã§æã\\ -　　　\verb|Lineplot([E,F],["da"]);|　　　　　直線EFã‚’ç ´ç·šã§æã\\ -　　　\verb|Lineplot([G,H],["do"]);|　　　　　直線GHを点線ã§æã\\ -　çµæžœã¯ï¼Œæ¬¡å›³å·¦ä¸Šã‹ã‚‰ã€‚\\ - -　　　　　　\input{Fig/lineplot}\\ - -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage +線種 "dr, n" , "da,m,n" , "do,m,n" -\hypertarget{listplot}{} -\item[関数]　Listplot（name , 点ã®ãƒªã‚¹ãƒˆ , options) -\item[機能]　点ã®ãƒªã‚¹ãƒˆã§ç¤ºã•ã‚ŒãŸç‚¹ã‚’çµã¶ã€‚プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åã®é 部㯠sg -\item[説明]　点ã®ãƒªã‚¹ãƒˆã¯åº§æ¨™ã¾ãŸã¯å¹¾ä½•è¦ç´ åã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚点ãŒï¼Œåº§æ¨™ã§ã¯ãªã幾何è¦ç´ åã®å ´åˆã¯ï¼Œnameã¯çœç•¥å¯ \\ -　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®åå‰ã¯ï¼Œ"sg" ã«å¼•æ•°ã® name ã‚’ä»˜åŠ ã—ãŸã‚‚ã®ã¨ãªã‚‹ã€‚\\ -　options ã¯æ¬¡ã®é€šã‚Šã€‚\\ -　　線種　　　"dr, n" , "da,m,n" , "do,m,n" +"Expr=æ–‡å—" : æ–‡å—を入れる + +"Expr=ä½ç½® , æ–‡å—" : ä½ç½®ã‚’指定ã—ã¦æ–‡å—を入れる。ä½ç½®ã¯é ‚点ã‹ã‚‰ã®è·é›¢ã€‚ + +\vspace{\baselineskip} +\begin{layer}{150}{0} +\putnotese{85}{0}{ \input{Fig/paramark}} +\end{layer} + + +ã€ä¾‹ã€‘三角形ã®å†…角ã«å°ã‚’ã„れ，文å—を書ã込む。 + +\begin{verbatim} + Listplot([A,B,C,A]); + Paramark([A,B,C]); + Paramark([C,A,B],[3,"Expr=\alpha"]); + Paramark([B,C,A],["dr,2","Expr=2,\theta"]); + +\end{verbatim} + +※角ã®å°ã«ã¯å¼§ã®å½¢çŠ¶ã®ã‚‚ã®ã‚‚ã‚る。\hyperlink{anglemark}{Anglemark()} ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ + +\vspace{\baselineskip} +\hypertarget{bowdata}{} +\item[関数] Bowdata(name,点リスト , options) +\item[機能] 弓形をæã +\item[説明] 点リストã§ä¸Žãˆã‚‰ã‚ŒãŸ2点をçµã¶å¼“形をæã。Listplot() ãªã©ã¨åŒæ§˜ï¼Œç‚¹ãƒªã‚¹ãƒˆãŒç‚¹åã®å ´åˆã¯nameã¯çœç•¥ã§ãる。 + +2点をå時計回りã«å›žã‚‹æ–¹å‘ã«å¼“形をæã。 + +optionsã¯ï¼Œ[曲ãŒã‚Š , 空白サイズ , æ–‡å—, 線種] + +曲ãŒã‚Š ã¯å¼§ã®æ›²ãŒã‚Šå…·åˆã®æŒ‡å®šã€‚ åˆæœŸè¨å®šã¯1 + +空白サイズ ã¯ä¸å¤®ã«ã‚ã‘る空白ã®å¤§ãã• + +æ–‡å—ã¯ï¼Œ"Expr=æ–‡å—" + +ã¾ãŸï¼Œ"Expr=å¾®å°ç§»å‹• , æ–‡å—" ã§ä½ç½®ã‚’指定ã—ã¦æ–‡å—を入れる。 + +å¾®å°ç§»å‹•ã¯ t n + + t ã¯ç·šåˆ†æ–¹å‘ã®å¾®å°ç§»å‹•ã€‚移動é‡ã¯æ•°å—ã‚’ã¤ã‘る。æ£è² ãŒå¯ã€‚ + + n ã¯ç·šåˆ†ã¨åž‚ç›´æ–¹å‘ã®å¾®å°ç§»å‹• + +\vspace{\baselineskip} + \begin{layer}{150}{0} +\putnotese{85}{5}{ \input{Fig/bowdata}} + \end{layer} + +ã€ä¾‹ã€‘ 三角形ABCã®å„辺ã«å¼“形マークをã¤ã‘記å·ã‚’入れる。 +\begin{verbatim} + Listplot([A,B,C,A]); + Letter([A,"n1","A",B,"w1","B",C,"e1","C"]); + Bowdata([A,B]); + Bowdata([B,C],[1,"Expr=t0n3,a"]); + Bowdata([C,A],[2,1.2,"Expr=10","da"]); +\end{verbatim} + +\vspace{\baselineskip} +ã“ã‚Œã«åŠ ãˆï¼Œæ–‡å—を回転ã—ã¦è¡¨ç¤ºã™ã‚‹æ–¹æ³•ãŒã‚る。ãŸã ã—，Cinderellaã®ç”»é¢ã«ã¯åæ˜ ã•ã‚Œãªã„。文å—をを回転ã™ã‚‹ã«ã¯æ¬¡ã®ã‚ˆã†ã«æ›¸ã。 + +\hspace{10mm}"Exprrot=å¾®å°ç§»å‹• , æ–‡å—" + + å¾®å°ç§»å‹•ã®æœ€å¾Œã«r ã‚’ã¤ã‘ã‚‹ã¨ï¼Œä¸Šä¸‹å転ã™ã‚‹ã€‚ + +以下ã«ã„ãã¤ã‹ä¾‹ã‚’示ã™ã€‚ +\begin{verbatim} + Bowdata([B,A],[1,1,"Exprrot=a"]); + Bowdata([D,C],[1,1,"Exprrot=t3n0,a"]); + Bowdata([F,E],[1,1,"Exprrot=t-3n0,a"]); + Bowdata([H,G],[1,1,"Exprrot=t0n3,a"]); + Bowdata([L,K],[1,1,"Exprrot=t0n0r,a"]); + Bowdata([N,M],[1,1,"Exprrot=t3n0r,a"]); +\end{verbatim} +\hspace{10mm} \input{Fig/bowdata2} + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{drawsegmark}{} +\item[関数] Drawsegmark(name,リスト,options）ã¾ãŸã¯ Segmark(name,リスト,options） +\item[機能] 線分ã«å°ã‚’ã¤ã‘ã‚‹ +\item[説明] リストã§ä¸Žãˆã‚‰ã‚ŒãŸ2点を端点ã¨ã™ã‚‹ç·šåˆ†ã«å°ã‚’ã¤ã‘る。å°ã«ã¯4種類ãŒã‚る。 + +options㯠\begin{tabbing} -1234567890123456789012345678901234\=\kill -　optionsã®ä½¿ç”¨ä¾‹\\ -　　\verb|Listplot([A,B]);|　　　　　　\>線分ABã‚’æã。太ã•ã¯ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã€‚\\ -　　\verb|Listplot([C,D],["dr,2"]);|　　 \>線分CDã‚’æã。太ã•ï¼’\\ -　　\verb|Listplot([E,F],["da"]);|　　　 \>線分EFã‚’ç ´ç·šã§æã\\ -　　\verb|Listplot([G,H],["da,3,1"]);| 　\>線分GHã‚’ç ´ç·šã§æã。線を長ã\\ -　　\verb|Listplot([K,L],["da,1,3"]);| 　 \>線分KLã‚’ç ´ç·šã§æã。間隔を空ã‘ã‚‹\\ -　　\verb|Listplot([M,N],["do"]);|　　　\>線分MNを点線ã§æã。\\ -　　\verb|Listplot([O,P],["do,3"]);|　　 \>線分OPを点線ã§æã。間隔を空ã‘ã‚‹\\ -　　\verb|Listplot([Q,R],["do,3,3"]);|　 \>線分QRを点線ã§æã。間隔を空ã‘ã¦å¤ªã\\ -　çµæžœã¯æ¬¡å›³å·¦ã‹ã‚‰ã€‚ +1234\=56789012\=345678901234567890\=\kill + \> Type=n \>：å°ã®ç¨®é¡ž n=1〜4\\ + \> Width \>：二本線ã®ã¨ãã®ç·šã®å¹… \end{tabbing} -　　\input{Fig/listplot3} -　例 : Cinderellaã®ä½œå›³ãƒ„ールã§ä¸‰è§’å½¢ABCã‚’æã„ã¦ãŠã。 + ã€ä¾‹ã€‘四角形ABCDã‚’æã線分ã«å°ã‚’ã¤ã‘る。 + +\begin{layer}{150}{0} +\putnotese{90}{5}{ \input{Fig/segmark}} +\end{layer} +\hspace{50mm} \begin{verbatim} -　　　　　Listplot([A,B,C,A]); -　　　　　Addax(0); + Listplot([A,B,C,D,A]); + Segmark("1",[A,B],["Type=1"]); + Segmark("2",[B,C],["Type=2","Width=1.5"]); + Segmark("3",[C,D],["Type=3"]); + Segmark("4",[D,A],["Type=4"]); \end{verbatim} -　　　　\input{Fig/listplot1}\\ -　　　å„åº§æ¨™ã‚’é ‚ç‚¹ã¨ã™ã‚‹ä¸‰è§’形をæã\\ -　　　　\verb|Listplot("1",[[0,0],[2,0],[1,2],[0,0]]);| -\\ -　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ç‚¹ã®åº§æ¨™ã®ãƒªã‚¹ãƒˆã§ã‚る。ã—ãŸãŒã£ã¦ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’自作ã—ã¦Listplot()ã§è¡¨ç¤ºã™ã‚‹ã“ã¨ãŒã§ãる。\\ -　\\ -例：有é™ãƒ•ãƒ¼ãƒªã‚¨ç´šæ•°å±•é–‹\\ -　　　　　　　　 \[\cfrac{\pi}{2}+\sum_{n=0}^{30} \cfrac{1-(-1)^n}{n}\sin nx\] -次ã®ã‚ˆã†ã«Cindyscriptã§é–¢æ•°ã‚’定義ã—，プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿pd を作ã£ã¦å¼•æ•°ã«æ¸¡ã™ã€‚ -\begin{verbatim} -　f(x):=( -　　s=pi/2; -　　repeat(30,n,s=s+(1-(-1)|^n)/n*sin(n*x)); -　); -　pd=apply(0..200,t, -　　x=-2*pi+t*4*pi/200; -　　[x,f(x)]; -　); -　Listplot("1",pd); -　Expr([[-2*pi,-0.5],"s","-2\pi",[-pi,-0.5],"s","-\pi",[pi,-0.5],"s", -　　　"\pi",[2*pi,-0.5],"s","2\pi",[0,pi],"w2","\pi"]); -\end{verbatim} -　\\ + +\vspace{\baselineskip} +\hypertarget{htickmark}{} +\item[関数] Htickmark([横座標 , æ–¹å‘ , æ–‡å—]) +\item[機能] 横軸ã«ç›®ç››ã¨æ–‡å—を書ã。 +\item[説明] 引数ã¯ä½ç½®ï¼ˆæ¨ªåº§æ¨™ï¼‰ï¼Œæ–¹å‘，文å—。複数点ã®æƒ…å ±ã‚’[ ]内ã«ã¾ã¨ã‚ã¦è¨˜å…¥ã§ãる。方å‘ã‚’çœç•¥ã™ã‚‹ã¨ "s1"ã«ãªã‚‹ã€‚微調整ã¯æç”»é¢ã«ã¯åæ˜ ã•ã‚Œãªã„ã®ã§ï¼ŒPDFã«ã—ã¦ç¢ºèªã™ã‚‹ã€‚ +目盛ã®é•·ã•ã¯ \hyperlink{setmarklen}{Setmarklen()} ã§è¨å®šã§ãる。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘ æ–¹å‘指定ã®ä¾‹ + +\hspace{10mm} \verb|Htickmark([1,"1",2,"n1","2",3,"se","3",4,"4"]);| + +\vspace{\baselineskip} \begin{center} -\input{Fig/fourier} +\input{Fig/htickmark01} \end{center} -　\\ -　リストã®é•·ã•ã«ã¯åˆ¶é™ãŒã‚ã‚‹ãŸã‚，ã‚ã¾ã‚Šé•·ã„リストを用ã„ãŸã‚Šï¼Œä½•åº¦ã‚‚用ã„ãŸã‚Šã™ã‚‹ã“ã¨ãŒã§ããªã„。ãŸã¨ãˆã°ï¼Œã‚¿ãƒ¼ãƒˆãƒ«ã‚°ãƒ©ãƒ•ã‚£ã‚¯ã‚¹ã‚’用ã„ãŸã‚·ã‚§ãƒ«ãƒ”ンスã‚ーã®ã‚®ãƒ£ã‚¹ã‚±ãƒƒãƒˆã§ã¯ï¼Œæ¬¡ã®ã‚µã‚¤ã‚ºãらã„ã¯å¯èƒ½ã ãŒï¼Œæ¤ç‰©ã®æˆé•·ãƒ¢ãƒ‡ãƒ«ã§ã¯åˆ†å²ãŒå¤šã„ãŸã‚ã‚ã¾ã‚Šå¤§ããªå›³ã¯ã§ããªã„。スクリプトを工夫ã—ã¦ï¼Œ200ãらã„ãšã¤ã®ãƒªã‚¹ãƒˆã«åˆ†å‰²ã™ã‚‹ã€‚\\ -　　　　　　\input{Fig/listplot2} -　\\ -　\\ -\hypertarget{mesegmets}{} -\item[関数]　Mksegments() -\item[機能]　幾何線分ã®ã™ã¹ã¦ã®PD ã‚’ä½œæˆ -\item[説明]　Ketinit() ã®ç›´å¾Œã«ç½®ãã“ã¨ã«ã‚ˆã‚Šï¼ŒCinderellaã®ä½œå›³ãƒ„ールã§æã„ãŸã™ã¹ã¦ã®ç·šåˆ†ã‚’ãã®ã¾ã¾ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¨ã™ã‚‹ã€‚ãŸã¨ãˆã°ï¼Œç·šåˆ†ABを作るã¨ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿sgABãŒä½œæˆã•ã‚Œã‚‹ã€‚ãã®å¾Œï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ç‚¹Bã®è˜åˆ¥åを変更（ãŸã¨ãˆã°Qã«ï¼‰ã™ã‚‹ã¨ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åも変更ã•ã‚Œã‚‹ã€‚線分ã¯ã™ã§ã«æã‹ã‚Œã¦ã„ã¦ã‚‚よã„。\\ - -\hypertarget{mkcircle}{} -\item[関数]　Mkcircles() -\item[機能]　幾何円ã®ã™ã¹ã¦ã®PD ã‚’ä½œæˆ -\item[説明]　Ketinit() ã®ç›´å¾Œã«ç½®ãã“ã¨ã«ã‚ˆã‚Šï¼ŒCinderellaã®ä½œå›³ãƒ„ールã®ã€Œå††ã‚’åŠ ãˆã‚‹ã€ã§æã„ãŸã™ã¹ã¦ã®å††ã‚’ãã®ã¾ã¾ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¨ã™ã‚‹ã€‚ãŸã¨ãˆã°ï¼Œä¸å¿ƒA，円周上ã®ç‚¹ã‚’Bã¨ã—ãŸå††ã‚’作るã¨ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿crABãŒä½œæˆã•ã‚Œã‚‹ã€‚ãã®å¾Œï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ç‚¹Bã®è˜åˆ¥åを変更（ãŸã¨ãˆã°Qã«ï¼‰ã™ã‚‹ã¨ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åも変更ã•ã‚Œã‚‹ã€‚円ã¯ã™ã§ã«æã‹ã‚Œã¦ã„ã¦ã‚‚よã„。\\ -\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +%\vspace{\baselineskip} +ã€ä¾‹ã€‘ -5ã‹ã‚‰5ã¾ã§ã®ç›®ç››ã‚’打ã¤ã€‚ + Cindyscriptã®ãƒªã‚¹ãƒˆå‡¦ç†ã‚’使ã£ã¦ï¼Œæ¬¡ã®ã‚ˆã†ã«å¼•æ•°ã®ãƒªã‚¹ãƒˆã‚’作ã£ã¦æ¸¡ã™ã€‚ +\begin{verbatim} + memori=apply(-5..5,x,[x,text(x)]); + memori=flatten(remove(memori,[[0,"0"]])); + Htickmark(memori); +\end{verbatim} +１行目，apply ã®ã‚«ãƒƒã‚³å†…ã® -5..5 ã§ãƒªã‚¹ãƒˆ[-5,-4,-3,-2,-1,0,1,2,3,4,5] ãŒã§ãる。ãれを用ã„ã¦ï¼Œapplyã§[æ•°, æ•°ã®æ–‡å—] ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆãŒã§ãる。text(x) ã¯xã‚’æ–‡å—ã«ã™ã‚‹é–¢æ•°ã€‚2行目ã§ï¼Œã“ã®ãƒªã‚¹ãƒˆã‹ã‚‰ï¼Œ[0,"0"]を除ã，リストを平滑化ã™ã‚‹ã€‚ çµæžœã¯æ¬¡ã®ã‚ˆã†ã«ãªã‚‹ã€‚ -\hypertarget{mkbeziercrv}{} -\item[関数]　Mkbeziercrv(åå‰,[[節点リスト,制御点リスト],[節点リスト,制御点リスト],...],\\ -\hfill[オプション] ) -\item[機能]　複数ã®ãƒ™ã‚¸ã‚¨æ›²ç·šã‚’æã -\item[説明]　å˜ç‹¬ã®ãƒ™ã‚¸ã‚¨æ›²ç·šã®å ´åˆã¯ãƒªã‚¹ãƒˆã®å¤–å´ã®[　]ã¯ãªãã¦ã‚‚よã„。\\ -Mkbeziercrv|(åå‰ï¼Œ[節点リスト，制御点リスト]，[オプション] )　ã¯\\ -Bezier(åå‰ï¼Œç¯€ç‚¹ãƒªã‚¹ãƒˆï¼Œåˆ¶å¾¡ç‚¹ãƒªã‚¹ãƒˆï¼Œ[オプション] )　ã¨åŒã˜ã€‚ +\begin{center} \scalebox{0.9}{\input{Fig/htickmark}}\end{center} +\hypertarget{vtickmark}{} +\item[関数] Vtickmark([横座標 , æ–¹å‘ , æ–‡å—]) +\item[機能] 縦軸ã«ç›®ç››ã¨æ–‡å—を書ã。 +\item[説明] Htickmarkã¨åŒæ§˜ã€‚縦軸ã«ç›®ç››ã‚’書ã。方å‘ã‚’çœç•¥ã™ã‚‹ã¨ "w1"ã«ãªã‚‹ã€‚ -\vspace{2mm} +\vspace{\baselineskip} +ã€ä¾‹ã€‘点$(0,\ 1),\ (0,\ 2)$ã®è¥¿å´ã«$1,\ 2$を表示ã™ã‚‹ã€‚ -例：\verb|Mkbeziercrv("n",[[A,B,C],[[D],[E,F]]]);|　ã¯\\ -　　\verb|Bezier("n",[A,B,C],[[D],[E,F]]);|　ã¨åŒã˜ã€‚\\ -　　曲線ã®åå‰ãŒ bzn ã§ã¯ãªã bzn1 ã¨ãªã‚‹ã€‚ +\hspace{10mm} \verb|Vtickmark([1,"1",2,"2"]);| -\vspace{2mm} +\vspace{\baselineskip} +\hypertarget{rulerscale}{} +\item[関数] Rulerscale(始点 ，横軸目盛 , 縦軸目盛) +\item[機能] 目盛を打㤠+\item[説明] 始点ã®ä½ç½®ã‚’縦横ã®èµ·ç‚¹ã¨ã—ã¦ç›®ç››ã‚Šã‚’打ã¤ã€‚目盛ã¯ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚ + ["r",a,b,c,d] ã®å½¢å¼ã§ã¯ï¼Œaã‹ã‚‰bã¾ã§cé–“éš”ã§ï¼Œå€çŽ‡dã®ç›®ç››ã‚’打ã¤ã€‚ + ["f",n1,"str",n2,"str",・・] ã®å½¢å¼ã§ã¯ï¼Œnã¨"str"ãŒã‚»ãƒƒãƒˆã§ï¼Œnã®ä½ç½®ã«"str"を書ã。ãŸã ã—，ä½ç½®ã¯Cinderellaã®æç”»é¢ã®åŽŸç‚¹ã‚’0ã¨ã™ã‚‹ã€‚ + + Listplot() ã¨ã¨ã‚‚ã«ç”¨ã„ã‚‹ã¨ï¼Œåº§æ¨™è»¸ã¨ã¯ç•°ãªã‚‹ç·šåˆ†ã«ç›®ç››ã‚’打ã¤ã“ã¨ãŒã§ãる。 + + Framedata() ã¨ã¨ã‚‚ã«ç”¨ã„ã‚‹ã¨çŸ©å½¢ã«ç›®ç››ã‚’打ã¤ã“ã¨ãŒã§ãる。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘x軸上㮠(2,1) ã‹ã‚‰ (9,1) ã¾ã§ç·šåˆ†ã‚’引ã，1目盛を10ã¨ã—ã¦ç›®ç››ã‚’打ã¤ã€‚ +\begin{verbatim} + Listplot("1",[[2,1],[9,1]]); + Rulerscale([2,1],["r",2,9,1,10],[]); +\end{verbatim} + \begin{center} \input{Fig/ruler1} \end{center} +\vspace{\baselineskip} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\begin{layer}{150}{0} -\putnotese{30}{45}{bz51} -\putnotese{90}{45}{bz52} -\putnotese{0}{5}{\input{Fig/checkmc1}} -\end{layer} +ã€ä¾‹ã€‘Aを原点ã«ç½®ã„ãŸçŸ©å½¢æž ã‚’æã，横ã«0,1,2,3,4,5，縦㫠d1，d2 ã®ç›®ç››ã‚’打ã¤ã€‚ +\begin{verbatim} + Framedata("1",[A,B],["corner"]); + Rulerscale(A,["r",0,5,1],["f",1,"d1",3,"d2"]); +\end{verbatim} + \begin{center} \input{Fig/ruler} \end{center} +\vspace{\baselineskip} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -複数ã®å ´åˆã¯ï¼Œ\verb|[ [ptlist1,ctrlist1], [ptlist2,ctrlist2],... ]| +\end{description} +\newpage +% ï¼ï¼ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®æ“作ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ +\subsection{プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®æ“作} +\begin{description} -\verb|Mkbeziercrv("5",[[[A,B,C],[[D],[E,F]]],[[G,H,K,L],[[M],[N,O],[P]]]]);| +\hypertarget{addgraph}{} +\item[関数] AddGraph(name ,プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆ,option) +\item[機能] 複数ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’ã¾ã¨ã‚ã‚‹ +\item[説明] 複数ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’ã¾ã¨ã‚ã¦æ‰±ã†ã€‚ãŸã¨ãˆã°ï¼Œå††ã¨ï¼Œå††å‘¨ä¸Šã®ç‚¹ã®2ã¤ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’ã¾ã¨ã‚ã¦æ‰±ãˆã°ï¼Œå¹³è¡Œç§»å‹•ã‚„回転ã§ï¼Œãれらã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’ã¾ã¨ã‚ã¦å¹³è¡Œç§»å‹•ã‚„回転ãŒã§ãる。Joincrvs()ã§ã¯ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’ã¤ãªã’ã¦ï¼‘ã¤ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã«ã™ã‚‹ãŒï¼ŒAddGraph()ã§ã¯ï¼Œãã‚Œãžã‚Œã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆï¼ˆãƒªã‚¹ãƒˆã®ãƒªã‚¹ãƒˆï¼‰ã«ã™ã‚‹ã€‚（プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯åº§æ¨™ã®ãƒªã‚¹ãƒˆã§ã‚る） -\vspace{40mm} +引数ã«ã¯ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åã‚’æ–‡å—列化ã—ã¦æ¸¡ã™ã€‚ãŸã¨ãˆã°ï¼Œå††ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ãŒ cr1 ã®ã¨ã，"cr1" ã¨ã™ã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘サイクãƒã‚¤ãƒ‰ã®å›³ã‚’æã。 \begin{verbatim} -ptlist1=[A,B,C];ctrlist1=[[D],[E,F]];list1=[ptlist1,ctrlist1]; -ptlist2=[G,H,K,L];ctrlist2=[[M],[N,O],[P]];list2=[ptlist2,ctrlist2]; -list=[list1,list2]; -Mkbeziercrv("5",list); + Setpt(3); + Circledata("1",[[0,1],[0,0]]); + Pointdata("1",[0,0]); + AddGraph("1",["[pt1]","cr1"],["nodisp"]); + nn=32; + forall(1..nn, + t=2*pi/nn*#; + Rotatedata(text(#),"ad1",-t,[[0,1],"nodisp"]); + Translatedata(text(#),"rt"+text(#),[t,0],["dr,0.3"]); + ); \end{verbatim} -ãªã©ã¨ã—ã¦ã‚‚åŒã˜ã€‚ -　\\ -　\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\hypertarget{mkbezierptcrv}{} -\item[関数]　Mkbezierptcrv(節点リストptlist，[オプション] ) -\item[機能]　ベジエ曲線をæã -\item[説明]　制御点ã¯ï¼Œè‡ªå‹•çš„ã«é…ç½®ã•ã‚Œã‚‹ã€‚ãã®å¾Œï¼Œç¯€ç‚¹ã‚„制御点を動ã‹ã—ã¦ï¼Œ -æããŸã„ã‚‚ã®ã«ã™ã‚‹ã€‚ +\vspace{\baselineskip} +\hspace{20mm} \input{Fig/addgraph} -複数ã®å ´åˆã¯ã€€[ ptlist1, ptlist2.... ] +ã“ã“ã§ï¼ŒAddGraph()ã®å¼•æ•°ã«ä¸Žãˆã‚‹ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆã§ï¼Œç‚¹ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ pt1 ã‚’"[pt1]" ã¨ã—ã¦ã„ã‚‹ã“ã¨ã«æ³¨æ„。円ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ãŒï¼Œç‚¹ã®åº§æ¨™ã®ãƒªã‚¹ãƒˆã§ã‚ã‚‹ã®ã«å¯¾ã—，点ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ä¸€ã¤ã®åº§æ¨™ã ã‘ãªã®ã§ï¼Œã“ã®ã‚ˆã†ã«ã—ã¦ãƒªã‚¹ãƒˆåŒ–ã—ã¦æ¸¡ã™ã€‚ -åå‰ã¯ï¼ŒA ã‹ã‚‰é †ã«è‡ªå‹•çš„ã«ã¤ã‘る。 +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -オプション +\hypertarget{changestyle}{} +\item[関数] Changestyle(PDリスト, options) +\item[機能] æ画オプションを変更ã™ã‚‹ +\item[説明] 複数ã®å›³å½¢ã®æ画オプションを一括ã—ã¦å¤‰æ›´ã™ã‚‹ã€‚ -"Deg=...â€ã€€æ¬¡æ•°æŒ‡å®šãŒã§ãる。（デフォルトã¯ï¼“次） +\vspace{\baselineskip} +ã€ä¾‹ã€‘線分AB，円ABã®ç·šã‚’ç ´ç·šã«ã—ã¦\TeX ã«æ›¸ã出ã•ãªã„よã†ã«ã™ã‚‹ã€‚ -"Num=..."　å„区間ã®åŒºé–“数（分点数ー１）を指定ã§ãる。（デフォルトã¯10） +\hspace{10mm} \verb|Changestyle(["sgAB","crAB"],["da","notex"]);| + -\vspace{5mm} +\vspace{\baselineskip} +\hypertarget{invert}{} +\item[関数] Invert(PD) +\item[機能] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’é€†é †ã«ã™ã‚‹ + +\vspace{\baselineskip} +\hypertarget{joincrvs}{} +\item[関数] Joincrvs(name, プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆ, options) +\item[機能] 隣接ã™ã‚‹æ›²ç·šãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ ã®ãƒªã‚¹ãƒˆã‚’繋ã„ã§1本ã®æ›²ç·šã‚’作る。 +\item[説明] 曲線ã®ãƒªã‚¹ãƒˆã¯éš£æŽ¥ã™ã‚‹é †ç•ªã§æŒ‡å®šã™ã‚‹ã€‚ + +optionsã¯ç·šç¨® "dr, n" , "da,m,n" , "do,m,n" -例： +\vspace{\baselineskip} +ã€ä¾‹ã€‘線分$y=x\ (-\sqrt{2} \leq x \leq \sqrt{2})$ã¨åŠå††ã§å¾—られる閉曲線をæã„ã¦é»„色ã§å¡—る。 + +点Aã¯åŽŸç‚¹ã«ï¼Œç‚¹Bã¯é©å½“ãªã¨ã“ã‚ã«ä½œå›³ã—ã¦ãŠã。 \begin{layer}{150}{0} -\putnotese{50}{15}{bzA} -\putnotese{50}{-5}{\input{Fig/checkb8}} +\putnotese{80}{5}{ \input{Fig/joincrvs}} \end{layer} -\verb|Mkbezierptcrv([A,B,C]);| +\begin{verbatim} + Plotdata("1","x","x=[-sqrt(2),sqrt(2)]"); + B.xy=[sqrt(2),sqrt(2)]; + Circledata("2",[A,B],["Rng=[pi/4,pi/4*5]"]); + Joincrvs("1",["gr1","cr2"]); + Shade(["join1"],["Color=yellow"]); +\end{verbatim} +\vspace{5mm} +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{\baselineskip} +\hypertarget{partcrv}{} +\item[関数] Partcrv(name, A, B, プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿, options) +\item[機能] 曲線プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ä¸Šã®ç‚¹A, B ã®é–“ã®éƒ¨åˆ†æ›²ç·šã‚’æã。 +\item[説明] 2点A, Bã®é †åºã¯æ›²ç·šã®å‘ãã¨åŒä¸€ã§ã‚ã‚‹ã“ã¨ã€‚曲線ã®å‘ãã¯ï¼Œ$y=f(x)$ã®ã‚°ãƒ©ãƒ•ã§ã¯x座標ãŒå¢—åŠ ã™ã‚‹å‘ã。 -\vspace{25mm} +optionsã¯ç·šç¨® "dr, n" , "da,m,n" , "do,m,n" -\begin{layer}{150}{0} -\putnotese{50}{15}{bzA} -\putnotese{60}{-10}{\input{Fig/checkb11}} -\end{layer} +\vspace{\baselineskip} +ã€ä¾‹ã€‘放物線を点線ã§æã，一部を実線ã§æã。 + + \verb|Plotdata("1", "x^2", "x", ["do"]);| （プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®åå‰ã¯gr1ã¨ãªã‚‹ï¼‰ + + \verb|Partcrv("1", [0,0], [1,1], "gr1");| -ãã®å¾Œï¼Œç¯€ç‚¹ã‚„制御点を動ã‹ã—ã¦ï¼Œ +\begin{center} \input{Fig/partcrv1} \end{center} -æããŸã„ã‚‚ã®ã«ã™ã‚‹ã€‚ +ã€ä¾‹ã€‘円ã®ä¸€éƒ¨ã‚’実線ã§æã。円ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯æŒ‡å®šã—ãŸå††å‘¨ä¸Šã®ç‚¹ã‹ã‚‰å時計回りã®é †ã«ã§ãる。点Aã¯å††ã®ä¸å¿ƒï¼ŒBã¯å††å‘¨ä¸Šã®ç‚¹ã¨ã™ã‚‹ã€‚点P,Qã¯é©å½“ãªä½ç½®ã«ä½œå›³ã—ã¦ãŠã。 +\begin{verbatim} + Circledata([A,B], ["do"]); + Plotdata("1", "x^2", "x", ["do"]); + tmp=Intersectcrvs("crAB","gr1"); + P.xy=tmp_1; + Q.xy=tmp_2; + Partcrv("1", P, Q, "crAB"); + Partcrv("2", Q, P, "crAB"); +\end{verbatim} +\vspace{\baselineskip} +\hspace{10mm} \input{Fig/partcrv3} \hspace{10mm} \input{Fig/partcrv4} + +\hspace{25mm}part1 ã®å›³\hspace{45mm}part2 ã®å›³ -\vspace{30mm} +\vspace{\baselineskip} +ã€ä¾‹ã€‘放物線$y=x^2$ãŒå††ã§åˆ‡ã‚Šå–られる部分を実線ã§æã。 \begin{layer}{150}{0} -\putnotese{80}{25}{bzA} -\putnotese{50}{-5}{\input{Fig/checkb9}} +\putnotese{85}{0}{\input{Fig/partcrv}} \end{layer} +\begin{verbatim} + Circledata("1",[[0,2],[0,0]],["da"]); + Plotdata("1","x^2","x",["do"]); + tmp=Intersectcrvs("cr1","gr1"); + Partcrv("2",tmp_2,tmp_1,"gr1",["dr,2"]); + +\end{verbatim} -\verb|Mkbezierptcrv([A,B,C],["Deg=2"]);| +\vspace{\baselineskip} -Deg=2 ã¨ã™ã‚‹ã¨ï¼’次ã«ãªã‚‹ã€‚ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -制御点ã¯å„区間ã«ï¼‘個ãšã¤ã§ãる。 +%\vspace{\baselineskip} +\hypertarget{enclosing}{} +\item[関数] Enclosing(name , PDリスト , [開始ä½ç½®, 交点計算ã®è¨±å®¹é™ç•Œ1, 2]) +\item[機能] 複数ã®æ›²ç·šã‹ã‚‰é–‰æ›²ç·šã‚’作る。 +\item[説明] 開始ä½ç½®ã¯ï¼Œæœ€åˆã¨æœ€å¾Œã®æ›²ç·šã®äº¤ç‚¹ãŒè¤‡æ•°ã‚ã‚‹ã¨ãã«æŒ‡å®šã™ã‚‹ã€‚ -\vspace{20mm} +開始点ã¯è¿‘ãã«å–ã‚Œã°ã‚ˆã„。許容é™ç•Œã¯ï¼Œé€šå¸¸ã¯æŒ‡å®šã—ãªãã¦ã‚ˆã„。 -\begin{layer}{150}{0} -\putnotese{20}{45}{bzA} -\putnotese{80}{45}{bzB} -\putnotese{0}{10}{\input{Fig/checkb10}} -\end{layer} +\vspace{\baselineskip} +ã€ä¾‹ã€‘放物線ã¨ç›´ç·šã§å›²ã¾ã‚Œã‚‹é ˜åŸŸã«è‰²ã‚’å¡—ã‚‹ãŸã‚ã« Shade() を使ã†ã€‚ +\begin{verbatim} + Plotdata("1","x^2","x"); + Lineplot("1",[[0,0],[1,0]]); // axis x + Lineplot("2",[[2,0],[2,1]]); + Enclosing("1",["Invert(gr1)","ln1","ln2"],["nodisp"]); + Shade(["en1"],["Color=red"]); +\end{verbatim} +\vspace{\baselineskip} + \begin{center} \input{Fig/enclosing} \end{center} -複数ã®å ´åˆã¯ã€€[ ptlist1, ptlist2.... ] +\vspace{\baselineskip} +注）閉曲線ã®ã¨ã‚Šã‹ãŸã§ã¯ï¼Œå‡ºç™ºç‚¹ã‚’原点ã«ã—ãŸå時計回りã¾ãŸã¯æ™‚計回りã«ã™ã‚‹ã¨ -\verb|Mkbezierptcrv([[A,B,C],[D,E,F,G]]);| + å時計回り㧠\verb|Enclosing("1",["ln1","ln2","Invert(gr1)"]);| -\vspace{25mm} -　\\ + 時計回り㧠\verb|Enclosing("1",["gr1","Invert(ln2)","Invert(ln1)"]);| +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\hypertarget{paramark}{} -\item[関数]　Paramark(点リスト , options) -\item[機能]　点リスト[A,B,C]ã§ç¤ºã•ã‚ŒãŸè§’ã«å¹³è¡Œå››è¾ºå½¢ã®å½¢çŠ¶ã®è§’ã®å°ã‚’ã¤ã‘る。 -\item[説明]　optionsã¯æ¬¡ã®é€šã‚Šã€‚\\ -　　数値　　　角ã®å°ã®å¤§ãã•ã€‚デフォルトã¯ï¼‘\\ -　　線種　　　"dr, n" , "da,m,n" , "do,m,n"\\ -　　"Expr=æ–‡å—" : æ–‡å—を入れる\\ -　　"Expr=ä½ç½® , æ–‡å—" : ä½ç½®ã‚’指定ã—ã¦æ–‡å—を入れる。ä½ç½®ã¯é ‚点ã‹ã‚‰ã®è·é›¢ã€‚\\ +\vspace{\baselineskip} +\hypertarget{hatchdata}{} +\item[関数] Hatchdata(name , æ–¹å‘リスト , プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ , options) +\item[機能] 閉曲線ã®å†…部ã«æ–œç·šã‚’引ã。 +\item[説明] 引数ã¯ï¼Œæ›²ç·šå，内部外部ã®ãƒ‘ターンを与ãˆã‚‹''i''，''o''ã®æ–‡å—列，閉曲線を与ãˆã‚‹æ›²ç·šã¨é ˜åŸŸã®å†…部を定ã‚ã‚‹æ–¹å‘ã®ãƒªã‚¹ãƒˆã¨ã‚ªãƒ—ション。\\ +オプション（カッコ内ã¯ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆå€¤ï¼‰\\ +　角度(45)，間隔(1)，\verb|"Max=(20)"| 斜線ã®æœ€å¤§æœ¬æ•°ï¼Œ\\ +　\verb|"Out=y/n (n)"| Rを呼ã³å‡ºã—ã¦å¤–部ファイルを作る㋠+ +\vspace{\baselineskip} +ã€ä¾‹ã€‘円ã®å†…部。(次図左) +\begin{verbatim} + Circledata([A,B],["dr"]); + Hatchdata("1",["i"],[["crAB"]],["dr,0.7"]); +\end{verbatim} -例：三角形ã®å†…角ã«å°ã‚’ã„れ，文å—を書ã込む。 +ã€ä¾‹ã€‘3ã¤ã®é–‰æ›²ç·šã®å†…å´ãƒ»å¤–å´ã®ãƒ‘ターンãŒåŒä¸€ã§ã‚ã‚‹é ˜åŸŸï¼ˆæ¬¡å›³å³ï¼‰ \begin{verbatim} -　　　Paramark([B,A,C]); -　　　Paramark([C,B,A],[3,"Expr=B"]); -　　　Paramark([A,C,B],["dr,2","Expr=2,C"]); + Circledata([A,B],["dr"]); + Paramplot("1","[4*cos(t),2*sin(t)]","t=[0,2*pi]"); + Paramplot("2","[2*cos(t),4*sin(t)]","t=[0,2*pi]"); + Hatchdata("1",["ioi"],[["crAB"],["gp1"],["gp2"]],["dr,0.7"]); + Hatchdata("2",["iio"],[["crAB"],["gp1"],["gp2"]],["dr,0.7"]); \end{verbatim} -　\input{Fig/paramark}\\ +\vspace{\baselineskip} +\hspace{5mm} \input{Fig/hatch1} \hspace{5mm} \input{Fig/hatch2} -※角ã®å°ã«ã¯å¼§ã®å½¢çŠ¶ã®ã‚‚ã®ã‚‚ã‚る。Anglemark() ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ +ã€ä¾‹ã€‘複数ã®é ˜åŸŸã€‚ +\begin{verbatim} + Plotdata("1","2*sin(x)","x=[-pi,3*pi]",["Num=100"]); + Listplot([A,B]); + Listplot([A,C]); + Hatchdata("1",["ii"],[["sgAB","n"],["gr1","s"]],["dr,0.7"]); + Hatchdata("2",["ii"],[["sgAC","s"],["gr1","n"]],["dr,0.7"]); +\end{verbatim} +\begin{center} +\begin{center} \input{Fig/hatch3} \end{center} +\end{center} -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +ã€ä¾‹ã€‘複数ã®é ˜åŸŸ ãã®2。 +\begin{verbatim} + Plotdata("1","2*sin(x)","x=[-pi,3*pi]",["Num=100"]); + Listplot([A,B]); + Listplot([A,C]); + Hatchdata("1",["iio"],[["sgAB","s"],["sgAC","n"],["gr1","n"]]); +\end{verbatim} +\begin{center} +\begin{center} \input{Fig/hatch4} \end{center} +\end{center} -\hypertarget{paramplot}{} -\item[関数]　Paramplot(name , å¼ , 変数ã¨å®šç¾©åŸŸ,options) -\item[機能]　媒介変数表示ã®æ›²ç·šã‚’æã。プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®é 部㯠gp -\item[説明]　å¼ã¯""ã§ããã£ãŸåª’介変数表示ã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚\\ -　定義域も " " ã§ããã£ã¦æ–‡å—列ã¨ã—，t=ã«ç¶šã„ã¦ãƒªã‚¹ãƒˆã§æŒ‡å®šã™ã‚‹ã€‚\\ -　options ã¯ç·šç¨®ãŒæœ‰åŠ¹\\ -例：サイクãƒã‚¤ãƒ‰æ›²ç·šã‚’æã。\\ -　　\verb|Paramplot("1","[t-sin(t),1-cos(t)]","t=[0,2*pi]");|\\ +ã€ä¾‹ã€‘3次曲線ã¨æŽ¥ç·šã§å›²ã¾ã‚ŒãŸé ˜åŸŸ -\input{Fig/paramplot1}\\ + 点Aを原点付近ã«ä½œå›³ã—ã¦ãŠã。 \begin{verbatim} -　Deffun("fx(t)", ["regional(x)","x=t-sin(t)","x"]); -　Deffun("fy(t)", ["regional(y)","y=1-cos(t)","y"]); -　Paramplot("1","[fx(t),fy(t)]","t=[0,2*pi]"); + Deffun("f(x)",["regional(y)","y=x^3-2*x","y"]); + Plotdata("1","f(x)","x",["Num=100"]); + Putoncurve("A","gr1"); + coef=Derivative("f(x)","x",A.x); + Defvar(["coef",coef]); + Deffun("g(x)",["regional(y)","y=coef*(x-A.x)+A.y","y"]); + Plotdata("2","g(x)","x",["Num=1"]); + if(!Isptselected(A), + Enclosing("1",["gr2","Invert(gr1)"],[A,"nodisp"]); + Hatchdata("1",["i"],[["en1"]]); + ); + \end{verbatim} -ã¨ã™ã‚Œã°ï¼Œé–¢æ•°å®šç¾©ã‚‚ Scilab ã«å¼•ã継ãŒã‚Œã‚‹ã€‚\\ -　\\ -optionsã®ä½¿ç”¨ä¾‹ã€‚å·¦ã‹ã‚‰ï¼Œãƒ‡ãƒ•ã‚©ãƒ«ãƒˆï¼Œå¤ªç·šï¼Œç ´ç·šï¼Œç‚¹ç·šã®æ¥•å†† +\begin{layer}{150}{0} +\putnotese{80}{0}{\input{Fig/hatch5}} +\end{layer} + +点Aをドラッグã—ã¦æ›²ç·šä¸Šã‚’å‹•ã‹ã™ã¨ï¼Œ + +\verb|if(!Isptselected(A),・・・| ã®åŠ¹æžœã«ã‚ˆã‚Šï¼Œ + +ãã®é–“ã¯é ˜åŸŸã®æ–œç·šã¯å¼•ã‹ã‚Œãªã„。 + +点A以外ã®ç”»é¢ä¸Šã®é©å½“ãªä½ç½®ã‚’クリックã—ã¦ï¼Œ + +点AãŒé¸æŠžçŠ¶æ…‹ã§ãªããªã‚‹ã¨æ–œç·šãŒå¼•ã‹ã‚Œã‚‹ã€‚ + +引ã‹ã‚Œã‚‹æ–œç·šã®å‘ãや間隔を変ãˆã‚‹ã“ã¨ã‚‚ã§ãる。 + +é–“éš”ã¯å®Ÿæ•°ã§æŒ‡å®šã§ãる。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘円ã®å†…部ã¾ãŸã¯å††ã¨ç›´ç·šã§åŒºåˆ‡ã‚‰ã‚ŒãŸå›³å½¢ + +\verb|Circledata([A,B]);| ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ crAB を用ã„ã¦ï¼Œä¸‹å›³å·¦ã‹ã‚‰ + +\verb|Hatchdata("1",["i"],[["crAB"]]);| 円内ã«å‚¾ã$45^{\circ}$ã®æ–œç·šã‚’引ã + +\verb|Hatchdata("2",["i"],[["crAB"]],[-40,2]);| 傾ã$-40^{\circ}$，間隔を2å€ã« + +\verb|Hatchdata("3",["i"],[["crAB"]],["dr,0.5"]);| ç·šã®å¤ªã•ã‚’0.3å€ã« + +\verb|Hatchdata("4",["i"],[["crAB"]],[-45,2,"dr,0.3"]);| + +\input{Fig/HatchZuKita1.tex} + +円ã®ã‚ªãƒ—ション㫠"notex"ã‚’ã¤ã‘ãŸå ´åˆã¨ï¼Œç ´ç·šã§æã„ãŸå ´åˆã€‚ +\begin{verbatim} + Circledata([A,B],["notex"]); + Circledata([A,B],["da"]); + \end{verbatim} + +\hspace{10mm} \input{Fig/HatchZuKita7.tex} \input{Fig/HatchZuKita8.tex} + +ç›´ç·šã§åˆ†ã‘られãŸé ˜åŸŸã‚’作り，対角ã®ä¸Šä¸‹ã«ãƒãƒƒãƒã‚’ã‹ã‘る。線をæã分ã‘る。 \begin{verbatim} -　Paramplot("1","[2*cos(t),sin(t)]","t=[0,2*pi]"); -　Paramplot("2","[2*cos(t)+5,sin(t)]","t=[0,2*pi]",["dr,2"]); -　Paramplot("3","[2*cos(t),sin(t)+3]","t=[0,2*pi]",["da"]); -　Paramplot("4","[2*cos(t)+5,sin(t)+3]","t=[0,2*pi]",["do"]); + Circledata([A,B]); + Lineplot("1",[A,B]); + Lineplot("2",[A,C]); + Hatchdata("1",["iii"],[["crAB"],["ln1","n"],["ln2","n"]]); + Hatchdata("2",["iii"],[["crAB"],["ln1","s"],["ln2","s"]],[90,0.5]); \end{verbatim} -\input{Fig/paramplot2} -\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\hspace{40mm} \input{Fig/HatchZuKita9.tex} -\hypertarget{plotdata}{} -\item[関数]　Plotdata(name , å¼ , 変数ã¨å®šç¾©åŸŸ , options) -\item[機能]　関数ã®ã‚°ãƒ©ãƒ•ã‚’æã。プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®åå‰ã¯ï¼Œgr -\item[説明]　å¼ã§è¡¨ã•ã‚ŒãŸé–¢æ•°ã®ã‚°ãƒ©ãƒ•ã‚’，指定ã•ã‚ŒãŸå®šç¾©åŸŸã§æã。\\ -　å¼ï¼Œå®šç¾©åŸŸã¯ " " ã§ããã£ã¦æ–‡å—列ã¨ã™ã‚‹ã€‚定義域ã¯x=ã«ç¶šã„ã¦ãƒªã‚¹ãƒˆã§æŒ‡å®šã€‚\\ -　options ã¯æ¬¡ã®é€šã‚Šã€‚ -\begin{tabbing} -12345678901234567890123\=\kill -　　線種　　　\>"dr, n" , "da,m,n" , "do,m,n"\\ -　　"Num=数値" 　　 \>æ画時ã®åˆ†å‰²æ•°\\ -　　"Dis=数値"　　　 \>値ãŒæŒ‡å®šæ•°å€¤ä»¥ä¸Šã‚¸ãƒ£ãƒ³ãƒ—ã™ã‚‹å ´åˆã¯ä¸é€£ç¶šç‚¹ã¨ã¿ãªã™ã€‚\\ -　　"Exc=数値リスト \>リストã§ç¤ºã•ã‚ŒãŸç‚¹ã¯é™¤å¤–ã™ã‚‹ã€‚\\ -　　"Exc=関数"　　　\>関数ã®é›¶ç‚¹ã¯é™¤å¤–ã™ã‚‹ã€‚\\ -　　"Color=RGB"　　\>色指定。RGBã¯CMYKã§ã‚‚よã„。\\ -\end{tabbing} -　例：２次関数 $f(x)=x^2-2x$ ã®ã‚°ãƒ©ãƒ•ã‚’定義域指定ãªã—ã§æã。\\ -　　　\verb|Plotdata("1","x^2-2*x","x");|\\ -　\\ -　　\input{Fig/plotdata1} -　\\ -　　　\verb|Plotdata("1","x^2-2*x","x",["Color=[0,0,1]"]);|\\ -　\\ -　　ã¨ã™ã‚‹ã¨èµ¤ã§æã‹ã‚Œã‚‹ã€‚\\ -　\\ -　例：三角関数 $2\sin \left(2x-\dfrac{\pi}{4} \right)$ 　ã®ã‚°ãƒ©ãƒ•ã‚’，定義域 $0 \leq x \leq 2 \pi$ã§æã。\\ -　　　　\verb|Plotdata("3","2*sin(2*x-pi/4)","x=[0,2*pi]");|\\ -　\\ -　　　　\input{Fig/plotdata2} -　\\ -　CindyScript ã§ã¯ï¼Œplot( å¼ , 定義域 ); ã§æããŒï¼Œ \ketcindy を用ã„ã‚‹ã¨ãã¯ï¼ŒCindyScript ã®plot 関数ã®ã‹ã‚ã‚Šã«ï¼Œã“ã®Plotdata を使ãˆã°ã‚ˆã„。\\ -　軸ã«æ•°å—を入れるã®ã§ã‚ã‚Œã°ï¼ŒLetter() を用ã„る。\\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -optionsã®ä½¿ç”¨ä¾‹\\ -　\verb|Plotdata("1","sin(x)","x");|　$f(x)=$sin$x$ ã®ã‚°ãƒ©ãƒ•ã‚’æã（デフォルト）\\ -　\verb|Plotdata("2","sin(x)+1","x",["dr,2"]);|　åŒã˜ã，太ã•ï¼’ã§æã\\ -　\verb|Plotdata("3","sin(x)+2","x",["da"]);|　 åŒã˜ãï¼Œç ´ç·šã§æã\\ -　\verb|Plotdata("4","sin(x)+3","x",["do"]);|　 åŒã˜ã，点線ã§æã\\ -çµæžœã¯æ¬¡å›³ä¸Šã‹ã‚‰ã€‚\\ -　\\ -　　　　　\input{Fig/plotdata3}\\ +\vspace{\baselineskip} +\hypertarget{dotfilldata}{} +\item[関数] Dotfilldata(name , æ–¹å‘リスト , プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ , options) +\item[機能] é ˜åŸŸã‚’ç‚¹ã§æ•·ãè©°ã‚る。 +\item[説明] Rã¨ãƒ‡ãƒ¼ã‚¿ã®æŽˆå—ã‚’ãŠã“ãªã£ã¦æç”»ã™ã‚‹ã€‚書å¼ã¯Hatchdata()ã¨åŒæ§˜ã€‚ -　Num=分割数ã®æŒ‡å®š\\ -　グラフã®æç”»ã¯ï¼ŒåŒºé–“を分割ã—ã¦é–¢æ•°å€¤ã‚’ã¨ã‚Šï¼Œå„点をçµã¶ã¨ã„ã†é€šå¸¸ã®æ–¹æ³•ã«ã‚ˆã£ã¦ã„る。Nã®æŒ‡å®šã¯ã“ã®åˆ†å‰²æ•°ã®æŒ‡å®šã§ã‚る。デフォルトã¯50。æ€ã†ã‚ˆã†ãªçµæžœãŒå¾—られãªã„å ´åˆã¯ã“ã®å€¤ã‚’大ãã指定ã™ã‚‹ã¨ã‚ˆã„。\\ -　下図左ã¯ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆï¼Œå³ã¯ Num=200 ã¨ã—ãŸã€‚\\ +オプションã¯ï¼Œãƒ‰ãƒƒãƒˆã®å¯†åº¦ã§ 0.1〜0.8 程度。 åˆæœŸè¨å®šã¯0.3。 -　　　　\input{Fig/plotdata4}\\ +\vspace{\baselineskip} +ã€ä¾‹ã€‘円グラフ -　ä¸é€£ç¶šç‚¹ã®æŒ‡å®š\\ -　Dis オプションã«ã‚ˆã‚Šï¼Œå€¤ãŒã‚¸ãƒ£ãƒ³ãƒ—ã™ã‚‹ä¸é€£ç¶šç‚¹ã‚’ç·šã§çµã°ãªã„よã†ã«ã™ã‚‹ã€‚Numオプションã¨åˆã‚ã›ã¦ä½¿ã†ã¨åŠ¹æžœãŒä¸ŠãŒã‚‹ã€‚\\ +Partcrv() 㨠Enclosing() ã§é–‰æ›²ç·šã‚’作ã£ã¦ç‚¹ã‚’æ•·ãè©°ã‚る。 -　例：$f(x)=$tan$x$ ã®ã‚°ãƒ©ãƒ•ã¯ï¼Œãã®ã¾ã¾ã§ã¯ã‚ãŸã‹ã‚‚漸近線ãŒæã‹ã‚ŒãŸã‚ˆã†ã«ãªã‚‹ãŒï¼Œã“ã‚Œã¯ï¼Œä¸é€£ç¶šç‚¹ã‚’ãã®ã¾ã¾çµã‚“ã§ã„ã‚‹ãŸã‚ã§ã‚る。 +\begin{layer}{150}{0} +\putnotese{75}{5}{ \input{Fig/dotfill}} +\end{layer} \begin{verbatim} -　Plotdata("1","tan(x)","x",["Num=200","Dis=50"]); + r=3; + p0=r*[cos(pi/2),sin(pi/2)]; + p1=r*[cos(-pi/6),sin(-pi/6)]; + p2=r*[cos(-3*pi/4),sin(-3*pi/4)]; + Circledata("1",[[0,0],[r,0]]); + Listplot("1",[[0,0],p0]); + Listplot("2",[[0,0],p1]); + Listplot("3",[[0,0],p2]); + Partcrv("1",p1,p0,"cr1"); + Enclosing("1",["sg2","part1","Invert(sg1)"],[[0,0]]); + Partcrv("2",p2,p1,"cr1"); + Enclosing("2",["sg3","part2","Invert(sg2)"],[[0,0]]); + Dotfilldata("1",["i"],[["en1"]]); + Dotfilldata("2",["i"],[["en2"]],[0.1]); +\end{verbatim} + +\vspace{\baselineskip} +\hypertarget{shade}{} +\item[関数] Shade(("åå‰"), プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆ , options) +\item[機能] 閉曲線ã§å›²ã¾ã‚ŒãŸé ˜åŸŸã‚’å¡—ã‚Šã¤ã¶ã™ã€‚ +\item[説明] 第１引数ã«ã¯ï¼Œé–‰æ›²ç·šã‚’与ãˆã‚‹æ›²ç·šåˆ†ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åを並ã¹ã‚‹ã€‚ + +デフォルトã§ã¯ï¼ŒJoincrvsを使ã£ã¦é–‰æ›²ç·šã‚’作ã£ã¦ã„る。ãŸã ã—，プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆã« +"Invert()"ãŒå…¥ã£ã¦ã„ã‚Œã°ï¼ŒEnclosingを使ã†ã€‚ + +optionã® Color ã¯ï¼ŒCinderellaã®ç”»é¢ä¸Šã§ã®æ画色をリストã§ä¸Žãˆã‚‹ã€‚濃ã•ã‚’指定ã—ãŸã„å ´åˆã¯è‰²åã‚„RGBã§ã¯ãªãCMYKã«ã™ã‚‹ã€‚ + +optionsã«ã¯ï¼Œä»–ã«ï¼Œã€ŒEnclosingを使ã†ã‹ï¼ˆ''Enc=y/n'')ã€ï¼ŒEnclosingã®ã¨ãã®é–‹å§‹ç‚¹ï¼Œæ画色　ãŒã‚る。 + +複数ã®Shadeを使ã†ã¨ãã¯ï¼Œåå‰ã‚’ã¤ã‘る。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘$y=2\sin x$ã®ã‚°ãƒ©ãƒ•ã¨ç›´ç·š$y=1$ ã¨ã§å›²ã¾ã‚ŒãŸéƒ¨åˆ†ã«é»’0.2ã®æ¿ƒã•ã§è‰²ã‚’塗る。 +\begin{verbatim} + Setax([7,"nw"]); + Plotdata("1","2*sin(x)","x",["Num=100"]); + Lineplot("1",[[0,1],[1,1]]); + Enclosing("1",["ln1","Invert(gr1)"],[[2,1],"nodisp"]); + Shade(["en1"],["Color=[0,0,0,0.2]"]); \end{verbatim} -ã§æ¼¸è¿‘ç·šãŒæã‹ã‚Œãªããªã‚‹ã€‚\\ +\begin{center} \input{Fig/shade} \end{center} -ã€€ä¾‹ï¼šã‚¬ã‚¦ã‚¹è¨˜å· [$x$] ã§è¡¨ã•ã‚Œã‚‹é–¢æ•°ã®ã‚°ãƒ©ãƒ•ã¯ï¼Œä¸é€£ç¶šãªéšŽæ®µçŠ¶ã«ãªã‚‹ã€‚ã“ã®é–¢æ•°ã¯å¤©äº•é–¢æ•° floor()ã§ã‚ã‚‹ã®ã§ï¼Œ +æ£å¼¦æ›²ç·šã¨ç›´ç·šã®äº¤ç‚¹ã¯ç°¡å˜ã«è¨ˆç®—ã§ãã‚‹ã®ã§ï¼Œæ¬¡ã®ã‚ˆã†ã« Partcrv() ã§éƒ¨åˆ†æ›²ç·šã‚’求ã‚，Enclosingã§é–‰æ›²ç·šã‚’求ã‚ãšã«Shadeを使ã£ã¦ã‚‚よã„。 \begin{verbatim} -　Plotdata("1","floor(x)","x",["Num=100","Dis=0.9"]); + Plotdata("1","2*sin(x)","x",["Num=100"]); + Lineplot("1",[[0,1],[1,1]]); + Partcrv("1",[5*pi/6,1],[13*pi/6,1],"gr1"); + Shade(["ln1","Invert(part1)"],[[2.5,1],"Color=0.2*[1,0,0,1]"]); \end{verbatim} -ã§ãã‚Œã„ã«æã‘る。\\ -　　　　　　　\input{Fig/plotdata5}\\ -　関数ã«æ–‡å—ä¿‚æ•°ãŒã¤ã„ã¦ãŠã‚Šï¼Œæ–‡å—ä¿‚æ•°ã®å€¤ã‚’変化ã•ã›ãªãŒã‚‰ã‚°ãƒ©ãƒ•ã‚’æãã«ã¯ï¼ŒAssign を使ã†ã€‚\\ -　\\ -　例：直線 $y=bx-b^2$ ã®ä¿‚æ•°$b$を変化ã•ã›ã¦æã，包絡線をã†ã‹ã³ã‚ãŒã‚‰ã›ã‚‹ã€‚ +\vspace{\baselineskip} +ã€ä¾‹ã€‘2ã¤ã®æ”¾ç‰©ç·šã§å›²ã¾ã‚ŒãŸéƒ¨åˆ†ã‚’赤ã§å¡—る。 \begin{verbatim} -　　　　repeat(50,t, - 　　　　　cb=t/5-5; - 　　　　　Plotdata(text(t),Assign("b*x-b\verb|^|2","b",cb),"x");\\ -　　　　); + Plotdata("1","x^2-1","x=[-3,3]"); + Plotdata("2","x^2/2","x=[-3,3]"); + Shade(["gr2","Invert(gr1)"],[[-1.5,1],"Color=[1,0,0]","alpha->0.4"]); \end{verbatim} -　\\ -　　　　　　\input{Fig/assign}\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +ã“ã“ã§ï¼Œ\verb|alpha->0.4| ã¯ç”»é¢ä¸Šã®è‰²æ¿ƒåº¦æŒ‡å®šã€‚ + +\vspace{\baselineskip} +\begin{center} \input{Fig/shade01} \end{center} + +%\vspace{\baselineskip} +ã€ä¾‹ã€‘åŒå¿ƒå††ã‚’リング状ã«å¡—る。 + + 下図å³ã®ã‚ˆã†ã«ï¼ŒåŒå¿ƒå††ã‚’リング状ã«å¡—ã‚‹ãŒï¼Œå††2ã¤ã ã‘ã§ã¯é–‰æ›²ç·šã¯ã§ããªã„。ãã“ã§ï¼Œå·¦å›³ã®ã‚ˆã†ã«ï¼Œå††ã®æã始ã‚を線分ã§çµã‚“ã§é–‰æ›²ç·šã‚’作る。ã“ã®ã¨ã，å‘ãを考ãˆã¦ï¼ŒJoincrvsã§çµã¶ã‚ˆã†ã«ï¼Œ''Enc=n''ã‚’ã¤ã‘る。線分ã¯éžè¡¨ç¤ºã«ã—ãŸã„ã®ã§ï¼Œ\verb|"nodisp"|オプションをã¤ã‘ã¦ãŠã。ãªãŠï¼Œç‚¹Aã‚’é©å½“ãªä½ç½®ã«ä½œå›³ã—ã¦ãŠã。 -\hypertarget{pointdata}{} -\item[関数]　Pointdata(name , 点リスト , optionss) -\item[機能]　点を作ã£ã¦Scilabã«ç‚¹ã®ãƒªã‚¹ãƒˆ Pointdata(list)を出力ã™ã‚‹ã€‚ -\item[説明]　点データを作æˆã™ã‚‹ã€‚ã“ã®ç‚¹ã¯ï¼Œå¹¾ä½•è¦ç´ ã§ã¯ãªã„。プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®é 部㯠pt\\ -　例：\verb|Pointdata("1",[[1,2],[-2,3]]);|\\ -　　　　２ã¤ã®ç‚¹ãƒ‡ãƒ¼ã‚¿ã‚’作る。Cinderellaã®æç”»é¢ã§ã¯ç·‘ã®ç‚¹ã§è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -　　　\verb|Pointdata("1",[A,B]);|\\ -　　　　作図ã—ãŸç‚¹A,Bã«ã¤ã„ã¦ï¼Œç‚¹ãƒ‡ãƒ¼ã‚¿ã‚’作る。\\ -　　　　Cinderellaã®æç”»é¢ä¸Šã§ã¯æ—¢å˜ã®ç‚¹A,Bã«ç·‘ã®ç‚¹ãŒé‡ãªã£ã¦è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -　　　\verb|Pointdata("1",A,["size=4"]);|\\ -　　　　Aã®ä½ç½®ã«å¤§ãã•ï¼”ã§ç‚¹ã‚’作る。Ptsize(Setpt) ã®é …ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ -　　　\verb|Pointdata("1",[A,B],[0]);|\\ -　　　　点データを作り，TeXã«ã‚ªãƒ—ション0（白抜ã）ã§æã\\ -　　　\verb|Pointdata("1",[[3,4],[5,6]],["notex"]);|\\ -　　　　点データを作るãŒï¼ŒTeXã«ã¯æã‹ãªã„\\ -　　　\verb|Pointdata("1",[A,B],["nodisp"]);|\\ -　　　　点データを作らãªã„．（戻り値ã¨ã—ã¦è¿”ã™ï¼‰\\ - - 　生æˆã•ã‚Œã‚‹ãƒªã‚¹ãƒˆã¯ï¼Œåº§æ¨™ã®ãƒªã‚¹ãƒˆãŒãƒã‚¹ãƒˆã—ãŸå½¢ã«ãªã£ã¦ã„る。\\ - 　ãã®å†…容ã¯ï¼Œprintln()を用ã„ã¦ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã™ã‚‹ã“ã¨ãŒã§ãる。ãŸã¨ãˆã° - \begin{verbatim} -　　　Pointdata("1",[[1,2],[3,4],[6,2]]); -　　　println(pt1); -\end{verbatim} - 　ã§ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«æ¬¡ã®ã‚ˆã†ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ \begin{verbatim} -　　　generate pointdata pt1 -　　　[[[1,2]],[[3,4]],[[6,2]]] + r1=2; + r2=1.5; + Circledata("1",[A,A+[r1,0]]); + Circledata("2",[A,A+[r2,0]]); + Listplot("1",[A+[r1,0],A+[r2,0]],["nodisp"]); + Shade(["cr1","sg1","Invert(cr2)","Invert(sg1)"],["Enc=n","Color=green"]); \end{verbatim} -　ãƒã‚¹ãƒˆã•ã‚ŒãŸãƒªã‚¹ãƒˆã¯ï¼ŒCindyscriptã® flatten() 関数を利用ã—ã¦å¹³æ»‘化（ãƒã‚¹ãƒˆã‚’解除）ã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šï¼ŒListplot()ã§åˆ©ç”¨ã™ã‚‹ã“ã¨ãŒã§ãる。\\ -　\\ -　例：\verb|Ptsize(3);|\\ -　　　\verb|Pointdata("1",[[1,2],[3,4],[6,2]]);|\\ -　　　\verb|Listplot("1",flatten(pt1));|\\ -　　ã“ã‚Œã§ï¼Œç¯€ç‚¹ã‚’明示ã—ãŸæŠ˜ã‚Œç·šãŒæã‘る。（下図左）\\ -　　　　\verb|Listplot("1",[[1,2],[3,4],[6,2]]);|\\ -　　　ã§ã¯ç·šåˆ†ã®ã¿ãŒæã‹ã‚Œã‚‹ã€‚（下図å³ï¼‰\\ - 　　　\input{Fig/pointdata}\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\begin{center} \input{Fig/greenring} \end{center} -\hypertarget{polygonplot}{} -\item[関数]　Polygonplot(name , 点リスト , æ•´æ•°,optionss) -\item[機能]　２点を指定ã—ã¦æ£å¤šè§’形をæã。 -\item[説明]　円ã«å†…接ã™ã‚‹æ£å¤šè§’形をæãï¼Œé ‚ç‚¹ã®å¹¾ä½•ç‚¹ã‚’作る。\\ -　例：\verb|Polygonplot("1",[A,B],12);|\\ -　点Aã‚’ä¸å¿ƒã¨ã—，åŠå¾„ABã®å††å‘¨ä¸Šã«ï¼Œç‚¹Bã‹ã‚‰ã‚¹ã‚¿ãƒ¼ãƒˆã—ã¦æ£å二角形ã®é ‚点B1〜B11ã‚’å時計回りã«ä½œã‚Šï¼Œã“れをçµã‚“ã æ£å¤šè§’形をæãã€‚é ‚ç‚¹ã¯å¹¾ä½•ç‚¹ã€‚\\ -　整数ã§ãªã„数を指定ã—ãŸå ´åˆã¯ï¼Œãã¡ã‚“ã¨é–‰ã˜ãªã„折れ線ãŒæã‹ã‚Œã‚‹ã€‚\\ +ãã®ä»–，\hyperlink{joincrvs}{Joincrvs() ã®ä¾‹}ã‚‚å‚ç…§ã®ã“㨠+\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\hypertarget{putintersect}{} -\item[関数]　Putintersect(点å , PD1 ,PD2,[No] ) -\item[機能]　２曲線ã®äº¤ç‚¹ã‚’作る -\item[説明]　２曲線ã¯ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åã§æŒ‡å®šã™ã‚‹ã€‚指定ã—ãŸç‚¹åã§äº¤ç‚¹ã‚’作る。ã“ã®ç‚¹ã¯å¹¾ä½•ç‚¹ã€‚\\ -　交点ãŒï¼’ã¤ä»¥ä¸Šã‚ã‚‹å ´åˆã§ã‚‚，æ画範囲ã«ãã®ã†ã¡ï¼‘ã¤ã ã‘ãŒå˜åœ¨ã™ã‚‹ãªã‚‰ï¼Œãã®ç‚¹ã¨ãªã‚‹ã€‚æ画範囲ã«ï¼’ã¤ä»¥ä¸Šã®äº¤ç‚¹ãŒã‚ã‚‹å ´åˆã¯ï¼Œãれらã®ã†ã¡ã„ãšã‚Œã‹ã«ãªã‚‹ã€‚ã“ã®ã¨ã，コンソールã«äº¤ç‚¹ã®åº§æ¨™ã®ãƒªã‚¹ãƒˆã¨ï¼Œã€ŒChoose point number ã€ã¨ã„ã†ã‚¬ã‚¤ãƒ‰ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚引数ã®Noã¨ã—ã¦ï¼Œãã®ç•ªå·ã‚’指定ã™ã‚‹ã¨ï¼Œãã®ç‚¹ãŒæŽ¡ç”¨ã•ã‚Œã‚‹ã€‚\\ -　ã“ã®é–¢æ•°ã§ä½œæˆã•ã‚Œã‚‹ã®ã¯å¹¾ä½•ç‚¹ã ã‘ãªã®ã§ï¼Œ\TeX ã®å›³ã«ç‚¹ã¨ã—ã¦æ˜Žç¤ºã™ã‚‹ãŸã‚ã«ã¯Pointdata()ã§æ›¸ã出ã™å¿…è¦ãŒã‚る。\\ -　次ã®ä¾‹ã¯ï¼Œï¼“次曲線ã¨ç›´ç·šã®äº¤ç‚¹ã‚’３ã¤ã¨ã‚‚å–ã£ãŸã‚‚ã®ã§ã‚る。 -\begin{verbatim} -　　Plotdata("1","x^3-4*x","x",["Num=200"]); -　　Plotdata("2","1/2*x+1","x"); -　　Putintersect("P","gr1","gr2",1); -　　Putintersect("Q","gr1","gr2",2); -　　Putintersect("R","gr1","gr2",3); -　　Pointdata("1",[P,Q,R],["size=4"]); -\end{verbatim} -　\\ - 　　　　　　　　　　\input{Fig/putintersect}\\ - 　\\ -　 交点ãŒå˜åœ¨ã—ãªã„å ´åˆã¯ï¼Œã€ŒNo intersect pointã€ãŒã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -　２曲線ã®äº¤ç‚¹ã‚’作るã®ã«ï¼Œ\hyperlink{crosspoint}{Crosspoint()} 関数を用ã„ã‚‹ã“ã¨ã‚‚ã§ãる。\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{\baselineskip} +\hypertarget{reflectdata}{} +\item[関数] Reflectdata(name , プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ , 対称点ã¾ãŸã¯å¯¾ç§°è»¸,options) +\item[機能] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®é¡æ˜ ã‚’ä½œæˆ +\item[説明] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’指定ã•ã‚ŒãŸç‚¹ã¾ãŸã¯è»¸ã«é–¢ã—ã¦å¯¾ç§°ç§»å‹•ã™ã‚‹ã€‚ + 対称点ã¯åº§æ¨™ã¾ãŸã¯ï¼Œç‚¹ã®è˜åˆ¥å。ãŸã ã—，対称点を座標ã§ç¤ºã™ã¨ãã¯è¦ç´ ãŒã²ã¨ã¤ã®ãƒªã‚¹ãƒˆã«ã™ã‚‹ã€‚ + + 対称軸ã¯ãƒªã‚¹ãƒˆ[ 点1, 点2 ] ã§æŒ‡å®šã€‚ -\hypertarget{putpoint}{} -\item[関数]　Putpoint(点å , 座標１ ,座標２ ) -\item[機能]　点を作る -\item[説明]　è˜åˆ¥åãŒç‚¹åã®ç‚¹ã‚’，既å˜ã§ãªã‘ã‚Œã°åº§æ¨™ï¼‘ã«ä½œã‚‹ã€‚æ—¢å˜ãªã‚‰ã°åº§æ¨™ï¼’ã«ç§»å‹•ã™ã‚‹ã€‚Texã«ã¯å‡ºåŠ›ã•ã‚Œãªã„。\\ +\vspace{\baselineskip} +ã€ä¾‹ã€‘ä¸å¿ƒA , åŠå¾„ABã®å††ã‚’æã，ãã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’用ã„ã¦é¡æ˜ ã‚’æã。 -例：(1,1) ã«å›ºå®šç‚¹Aを作る。 ã“ã®ç‚¹ã¯å‹•ã‹ã™ã“ã¨ãŒã§ããªã„。\\ -　　　\verb|Putpoint("A",[1,1]);|\\ -　　(1,1)ã«è‡ªç”±ç‚¹ã‚’作る。\\ -　　　\verb|Putpoint("A",[1,1],[A.x,A.y]);|\\ -　　ã“ã®ç‚¹ã¯åº§æ¨™ï¼’ã®åŠ¹æžœã«ã‚ˆã‚Šï¼Œè‡ªç”±ç‚¹ã¨ãªã‚Šï¼Œãƒ‰ãƒ©ãƒƒã‚°ã—ã¦å‹•ã‹ã™ã“ã¨ãŒã§ãる。\\ +点Cã«é–¢ã—ã¦å¯¾ç§°ãªå††ã‚’実線 -実際ã«ã¯ï¼ŒCinderellaã®ä½œå›³ãƒ„ールã§ç‚¹ã‚’å–り，インスペクタã§åå‰ã‚’変更ã™ã‚Œã°ã‚ˆã„ã‚ã‘ã ãŒï¼Œã“ã®å½¢ã§ã¨ã‚Œã°ã‚¹ã‚¯ãƒªãƒ—トã®å¯èªæ€§ãŒå¢—ã™æ„味ãŒã‚る。\\ -注）点åã¯åŠè§’アルファベットã¨ã™ã‚‹ã€‚æ•°å—ã‚„æ¼¢å—ã§ã‚‚Cinderellaã§ã¯ç‚¹ãŒã§ãã‚‹ãŒï¼ŒScilabã§ã‚¨ãƒ©ãƒ¼ã¨ãªã‚‹ã€‚\\ +点(-1,2)ã«é–¢ã—ã¦å¯¾ç§°ãªå††ã‚’太ã„実線 -\hypertarget{putonline}{} -\item[関数]　PutonLine(点å , 座標１ ,座標２ ) -\item[機能]　直線上ã«ç‚¹ã‚’作る -\item[説明]　座標１，座標２を通る直線上ã«ç‚¹åã®ç‚¹ã‚’作る。ã§ããŸç‚¹ã¯ç›´ç·šã«å¯¾ã—ã¦ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã¨ãªã‚‹ã€‚\\ -例　点A,Bを通る直線上ã«ç‚¹Pã‚’ã¨ã‚‹ã€‚\\ -　　\verb|PutonSeg("P",A,P);|\\ +ç›´ç·šDEã«é–¢ã—ã¦å¯¾ç§°ãªå††ã‚’ç ´ç·š -\hypertarget{putonseg}{} -\item[関数]　PutonSeg(点å , 座標１ ,座標２ ) -\item[機能]　線分上ã«ç‚¹ã‚’作る -\item[説明]　座標１，座標２を通る線分上ã«ç‚¹åã®ç‚¹ã‚’作る。ã§ããŸç‚¹ã¯ç·šåˆ†ã«å¯¾ã—ã¦ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã¨ãªã‚‹ã€‚\\ -例　点A,Bを通る線分上ã«ç‚¹Pã‚’ã¨ã‚‹ã€‚\\ -　　\verb|PutonSeg("P",A,P);|\\ - -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{reflextpoint}{} -\item[関数]　Reflectpoint(点，対称点ã¾ãŸã¯å¯¾ç§°è»¸) -\item[機能]　点ã®é¡æ˜ ã‚’ä½œæˆ -\item[説明]　点を指定ã•ã‚ŒãŸç‚¹ã¾ãŸã¯è»¸ã«é–¢ã—ã¦å¯¾ç§°ç§»å‹•ã™ã‚‹ã€‚対称軸ã¯[ 点1, 点2 ]ã§æŒ‡å®š\\ -　\\ -例：Ｃã¯Bã«é–¢ã—ã¦Aã¨å¯¾ç§°ãªç‚¹\\ -　　Ｄã¯ç‚¹(2,3)ã«é–¢ã—ã¦Aã¨å¯¾ç§°ãªç‚¹\\ -　　Eã¯ç‚¹(1,0) ã«é–¢ã—㦠(-1,1) ã¨å¯¾ç§°ãªç‚¹\\ -　　Fã¯ç›´ç·šCEã«é–¢ã—ã¦Aã¨å¯¾ç§°ãªç‚¹\\ -\begin{verbatim} -　　　C.xy=Reflectpoint(A,B); -　　　D.xy=Reflectpoint(A,[[2,3]]); -　　　E.xy=Reflectpoint([-1,1],[[1,0]]); -　　　F.xy=Reflectpoint(A,[C,E]); -　　　Lineplot([C,E],["do"]); -\end{verbatim} -　\\ -　　　　　\input{Fig/reflectpoint}\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\begin{verbatim} + Circledata([A,B]); + Reflectdata("1","crAB",[C]); + Reflectdata("2","crAB",[[-1,2]],["dr,2"]); + Reflectdata("3","crAB",[D,E],["da"]); +\end{verbatim} +\vspace{\baselineskip} + \begin{center} \input{Fig/reflectdata} \end{center} + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\vspace{\baselineskip} +\hypertarget{rotatedata}{} +\item[関数] Rotatedata(name , プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ ，角度 , [ä¸å¿ƒ , options]) +\item[機能] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ä½ç½®ã‚’回転ã™ã‚‹ +\item[説明] 図形を，ä¸å¿ƒã§ç¤ºã•ã‚ŒãŸç‚¹ã®å‘¨ã‚Šã«å›žè»¢ã™ã‚‹ã€‚角度ã¯å¼§åº¦æ³•ã§ä¸Žãˆã‚‹ + + ä¸å¿ƒã¨optionsã¯ã¾ã¨ã‚ã¦ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚ -\hypertarget{rotatepoint}{} -\item[関数]　Rotatepoint(点 ，角度 , ä¸å¿ƒ) -\item[機能]　点ã®ä½ç½®ã‚’回転ã™ã‚‹ -\item[説明]　点を，ä¸å¿ƒã§ç¤ºã•ã‚ŒãŸç‚¹ã®å‘¨ã‚Šã«å›žè»¢ã™ã‚‹ã€‚角度ã¯å¼§åº¦æ³•ã§ä¸Žãˆã‚‹\\ \begin{spacing}{1.5} -例：点Cã¯Aを，Ｂã«é–¢ã—ã¦$\dfrac{2}{3}\pi $ã ã‘回転ã—ãŸç‚¹\\ -　　点Dã¯ç‚¹(5,2)を，Ｂã«é–¢ã—ã¦$\dfrac{\pi}{3}$ ã ã‘回転ã—ãŸç‚¹\\ -　　点Eã¯ç‚¹(3,0)ã‚’Aã«é–¢ã—㦠$-\dfrac{\pi}{4} $ã ã‘回転ã—ãŸç‚¹ +ã€ä¾‹ã€‘ä¸å¿ƒA , åŠå¾„ABã®å††ã‚’æã，次ã®ã‚ˆã†ã«å›žè»¢ã—ã¦ç·šç¨®ã‚’変ãˆã¦æã。 + + 点Cã‚’ä¸å¿ƒã«$\dfrac{\pi}{2} $，点(1,5)ã‚’ä¸å¿ƒã«$\dfrac{\pi}{3}$ ， 点Dã‚’ä¸å¿ƒã« $-\dfrac{\pi}{3} $ \end{spacing} \begin{verbatim} -　　　C.xy=Rotatepoint(A,2*pi/3,B); -　　　D.xy=Rotatepoint((5,2),pi/3,B); -　　　E.xy=Rotatepoint([3,0],-pi/4,A); + Circledata([A,B]); + Rotatedata("1","crAB",pi/2,[C]); + Rotatedata("2","crAB",pi/3,[[1,5],"dr,2"]); + Rotatedata("3","crAB",-pi/3,[D,"da"]); \end{verbatim} -　\\ -　　　\input{Fig/rotatepoint}\\ -　\\ -%\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{\baselineskip} +\begin{center}\scalebox{0.9}{ \input{Fig/rotatedata} }\end{center} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\hypertarget{rulerscale}{} -\item[関数]　Rulerscale(始点 ，横軸目盛 , 縦軸目盛) -\item[機能]　目盛を打㤠-\item[説明]　始点ã®ä½ç½®ã‚’縦横ã®èµ·ç‚¹ã¨ã—ã¦ç›®ç››ã‚Šã‚’打ã¤ã€‚\\ -　目盛ã¯ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚\\ -　["r",a,b,c]　ã®å½¢å¼ã§ã¯ï¼Œaã‹ã‚‰bã¾ã§cé–“éš”ã§ç›®ç››ã‚’打ã¤ã€‚\\ -　["f",n1,"str",n2,"str",・・] ã®å½¢å¼ã§ã¯ï¼Œnã¨"str"ãŒã‚»ãƒƒãƒˆã§ï¼Œnã®ä½ç½®ã«"str"を書ã。ãŸã ã—，ä½ç½®ã¯Cinderellaã®æç”»é¢ã®åŽŸç‚¹ã‚’0ã¨ã™ã‚‹ã€‚\\ -　Framedata() ã¾ãŸã¯ Framedata2() ã¨ã¨ã‚‚ã«ç”¨ã„ã‚‹ã¨çŸ©å½¢ã«ç›®ç››ã‚’打ã¤ã“ã¨ãŒã§ãる。\\ -　\\ -例：Aを原点ã«ç½®ã„ãŸçŸ©å½¢æž ã‚’æã，横ã«0,1,2,3,4,5，縦㫠d1，d2 ã®ç›®ç››ã‚’打ã¤ã€‚ -\begin{verbatim} -　　Framedata2("1",[A,B]); -　　Rulerscale(A,["r",0,5,1],["f",1,"d1",3,"d2"]); -\end{verbatim}　 -　　　\input{Fig/ruler}\\ -　\\ +\vspace{\baselineskip} +\hypertarget{scaledata}{} +\item[関数] Scaledata(name , プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼Œxæ–¹å‘比率 , yæ–¹å‘比率 , [ä¸å¿ƒ , options]) +\item[機能] 図形ã®ä½ç½®ã‚’拡大・縮å°ã™ã‚‹ +\item[説明] 図形ã®ä½ç½®ã‚’プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’用ã„ã¦æŒ‡å®šã•ã‚ŒãŸæ¯”率ã§æ‹¡å¤§ãƒ»ç¸®å°ã™ã‚‹ -\hypertarget{scalepoint}{} -\item[関数]　Scalepoint(点，比率ベクトル，ä¸å¿ƒ) -\item[機能]　点ã®ä½ç½®ã‚’拡大・縮å°ã™ã‚‹ -\item[説明]　点を，指定ã•ã‚ŒãŸä¸å¿ƒã‚’原点ã¨ã™ã‚‹åº§æ¨™ç³»ã§ï¼Œæ¯”率ベクトルã®åˆ†ã ã‘拡大・縮å°ã—ãŸä½ç½®ã«ç½®ã。\\ + 比率㯠[xæ–¹å‘比率 , yæ–¹å‘比率] ã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã¦ã‚‚よã„。 + + ä¸å¿ƒã¨optionsã¯ã¾ã¨ã‚ã¦ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚optionsã¯ç·šç¨® + +\vspace{\baselineskip} +ã€ä¾‹ã€‘点A(2,1)，B(1,1)，C(-1,-1)，D(3,-1) を作図ã—ã¦ãŠã。 -例：点Cを，点Aを原点ä¸å¿ƒã«æ¨ªã«ï¼“å€ï¼Œç¸¦ã«ï¼’å€ã—ãŸä½ç½®ã«ç½®ã。\\ -　　点Dを，点Aを点Bä¸å¿ƒã«æ¨ªã«ï¼“å€ï¼Œç¸¦ã«ï¼’å€ã—ãŸä½ç½®ã«ç½®ã。\\ -　　点Fを，点Aを原点ä¸å¿ƒã«ãƒ™ã‚¯ãƒˆãƒ«$\overrightarrow{OE} $ã§ç¤ºã•ã‚ŒãŸæ¯”率ã®ä½ç½®ã«ç½®ã。 + Aã‚’ä¸å¿ƒã¨ã™ã‚‹åŠå¾„ABã®å††ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’作り， + +原点ä¸å¿ƒã«$x$軸方å‘ã«3，$y$軸方å‘ã«2拡大ã™ã‚‹ã€‚ + +Ｃをä¸å¿ƒã«$x$軸方å‘ã«3，$y$軸方å‘ã«2拡大ã—，実線ã§å¤ªãæã。 + +原点ä¸å¿ƒã«ãƒ™ã‚¯ãƒˆãƒ«$\overrightarrow{OD} $ã ã‘拡大ã—ï¼Œç ´ç·šã§æã。 \begin{verbatim} -　　　C.xy=Scalepoint(A,[3,2],[0,0]); -　　　D.xy=Scalepoint(A,[3,2],B); -　　　F.xy=Scalepoint(A,E.xy,[0,0]); + Circledata([A,B]); + Scaledata("1","crAB",3,2,[[0,0]]); + Scaledata("2","crAB",3,2,[C,"dr,2"]); + Scaledata("3","crAB",[D.x,D.y],[[0,0],"da"]); \end{verbatim} -　　　　　\input{Fig/scalepoint}\\ -　\\ + \begin{center} \input{Fig/scaledata} \end{center} -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\hypertarget{translatepoint}{} -\item[関数]　Translatepoint(点 , 移動ベクトル) -\item[機能]　点を平行移動ã™ã‚‹ -\item[説明]　点を移動ベクトルã§ç¤ºã•ã‚ŒãŸåˆ†ã ã‘平行移動ã™ã‚‹ã€‚\\ -\\ -例：点Cã¯ç‚¹Aã‚’$x$軸方å‘ã«2 , $y$軸方å‘ã«ï¼“ã ã‘平行移動ã—ãŸç‚¹\\ -　　点Dã¯ç‚¹Aをベクトル$\overrightarrow{OB} $ã ã‘平行移動ã—ãŸç‚¹ +\vspace{\baselineskip} +\hypertarget{translatedata}{} +\item[関数] Translatedata(name , プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ , 移動ベクトル , options) +\item[機能] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’平行移動ã™ã‚‹ +\item[説明] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’移動ベクトルã§ç¤ºã•ã‚ŒãŸåˆ†ã ã‘平行移動ã™ã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘点A,B,C,Dを作図ツールã§ã¨ã£ã¦ãŠã。 + + \verb|Circledata([A,B]);| ã§ã§ãる円（crAB）を + + x軸方å‘ã«2，y軸方å‘ã«3ã ã‘平行移動ã—ã¦å®Ÿç·šã§æã。 + +ベクトル$\overrightarrow{OC} $ã ã‘平行移動ã—，実線ã§å¤ªãæã。 + +ベクトル$\overrightarrow{OD} $ã ã‘平行移動ã—ï¼Œç ´ç·šã§æã。 + \begin{verbatim} -　　　C.xy=Translatepoint(A,[2,3]); -　　　D.xy=Translatepoint(A,B.xy); + Circledata([A,B]); + Translatedata("1","crAB",[2,3]); + Translatedata("2","crAB",C,["dr,2"]); + Translatedata("3","crAB",D,["da"]); \end{verbatim} -　\\ -　　　　　\input{Fig/translatepoint} -\end{description} -　\\ +\vspace{\baselineskip} + \begin{center} \input{Fig/translatedata} \end{center} -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage -%　ï¼ï¼ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®æ“作ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ -\subsection{プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®æ“作} -%　æ画関数ã§ä½œæˆã•ã‚ŒãŸãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’用ã„ã¦æ画をãŠã“ãªã†ã€‚ãªãŠï¼Œæœ¬ç¯€ã§ã¯ï¼Œè©²å½“ã™ã‚‹å›³å½¢ã®ã“ã¨ã‚’「プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã€ã¨è¡¨è¨˜ã™ã‚‹å ´åˆãŒã‚る。\\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\begin{description} +\vspace{\baselineskip} +\hypertarget{intersectcrvs}{} +\item[関数] Intersectcrvs(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿1, プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿2) +\item[機能] 2曲線ã®äº¤ç‚¹ãƒªã‚¹ãƒˆã‚’å–å¾—ã™ã‚‹ã€‚ +\item[説明] オプションã¨ã—ã¦ï¼Œå…±æœ‰ç‚¹ãŒã‚ã‚‹ã‹ã©ã†ã‹ã‚’判æ–ã™ã‚‹ãŸã‚ã®é™ç•Œå€¤ãŒã‚ã‚‹ãŒï¼Œé€šå¸¸ã¯ä½¿ã‚ãªã„。 -\hypertarget{changestyple}{} -\item[関数]　Changestyle(PDリスト, optionss) -\item[機能]　æ画オプションを変更ã™ã‚‹ -\item[説明]　複数ã®å›³å½¢ã®æ画オプションを一括ã—ã¦å¤‰æ›´ã™ã‚‹ã€‚\\ +\vspace{\baselineskip} +ã€ä¾‹ã€‘円ã¨æ›²ç·šã®äº¤ç‚¹ã‚’P,Qã¨ã™ã‚‹ã€‚ -例：線分AB，円ABã®ç·šã‚’ç ´ç·šã«ã—ã¦\TeX ã«æ›¸ã出ã•ãªã„よã†ã«ã™ã‚‹ã€‚\\ -　　\verb|Changestyle(["sgAB","crAB"],["da","notex"]);|\\ -　\\ +\begin{layer}{150}{0} +\putnotese{80}{5}{ \input{Fig/Intersectcrvs1}} +\end{layer} -\hypertarget{enclosing}{} -\item[関数]　Enclosing(name , PDリスト , [ä½ç½®ï¼Œæ–¹å‘，数å¼]) -\item[機能]　複数ã®æ›²ç·šã‹ã‚‰é–‰æ›²ç·šã‚’æã。 -\item[説明]　引数ã®ä½ç½®ï¼Œæ–¹å‘，数å¼ã¯ï¼Œè¤‡æ•°ç‚¹ã®æƒ…å ±ã‚’[ ]内ã«ã¾ã¨ã‚㦠-記入ã§ãる。以下ã¯ä¸€ä¾‹ã€‚ \begin{verbatim} -　　Circledata([A,B],["do"]); -　　Scaledata("1","crAB",1.5,1/1.5,["do"]); -　　Scaledata("2","crAB",1/1.5,1.5,["do"]); -　　Tmp1=Intersectcrvs(sc2,crAB); -　　Putpoint("C",Tmp1\_1); -　　Enclosing("1",["sc2","crAB","sc2","Invert(sc1)"],[C]); -　　Hatchdata("1","i",[["en1"]],["dr,0.5"]); -\end{verbatim} -　　　　　　　　　\input{Fig/enclosing} + Plotdata("1", "sin(x)", "x", ["Num=100"]); + Circledata([A, B]); + tmp=Intersectcrvs("gr1","crAB"); + P.xy=tmp_1; + Q.xy=tmp_2; + \end{verbatim} -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -　\\ +ã“ã®é–¢æ•°ã¯ï¼Œäº¤ç‚¹ã®ãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆã‚’è¿”ã™ã®ã§ï¼Œtmpï¼[ [ -0.37, -0.36 ], [ 2.13, 0.85 ] ] ã®ã‚ˆã†ã«å€¤ãŒè¿”ã£ã¦ãる。交点ã®é †åºã¯ PD1, PD2 ã®é †åºã¨æ›²ç·šã®å‘ãã«ã‚ˆã£ã¦æ±ºã¾ã‚‹ã€‚曲線ã®å‘ãã¯ï¼Œ$y=f(x)$ã®ã‚°ãƒ©ãƒ•ã§ã¯x座標ãŒå¢—åŠ ã™ã‚‹å‘ãã§ï¼Œãƒ‘ラメーター表示曲線ã§ã¯ãƒ‘ラメータã®å¢—åŠ ã™ã‚‹å‘ã。ã¾ãŸï¼ŒPD1 上ã‹ã‚‰æŽ¢ã—始ã‚㦠PD2 ã¨ã®äº¤ç‚¹ã‚’拾ã£ã¦ã„ã。 -\hypertarget{addgraph}{} -\item[関数]　AddGraph(name ,プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆ,option) -\item[機能]　複数ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’ã¾ã¨ã‚ã‚‹ -\item[説明]　複数ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’ã¾ã¨ã‚ã¦æ‰±ã†ã€‚ãŸã¨ãˆã°ï¼Œå††ã¨ï¼Œå††å‘¨ä¸Šã®ç‚¹ã®ï¼’ã¤ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’ã¾ã¨ã‚ã¦æ‰±ãˆã°ï¼Œã‚¹ãƒ©ã‚¤ãƒ€ã‚’用ã„ãŸã‚Šå‹•ç”»ã«ã™ã‚‹ã¨ãã«ï¼Œå€‹ã€…ã«ç§»å‹•ã‚„回転をã—ãªãã¦ã™ã‚€ã€‚Joincrvs()ã§ã¯ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’ã¤ãªã’ã¦ï¼‘ã¤ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã«ã™ã‚‹ãŒï¼ŒAddGraph()ã§ã¯ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’リスト化ã—ã¦æ‰±ã†ã¨ã„ã†é•ã„ãŒã‚る。\\ -　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆã¯ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åã‚’æ–‡å—列化ã—ã¦æ¸¡ã™ã€‚ãŸã¨ãˆã°ï¼Œå††ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ãŒ cr1 ã®ã¨ã，"cr1" ã¨ã™ã‚‹ã€‚\\ -　\\ -例：サイクãƒã‚¤ãƒ‰ã®å›³ã‚’æã。 -\begin{verbatim} -　　Setpt(3); -　　Circledata("1",[[0,1],[0,0]]); -　　Pointdata("1",[0,0]); -　　AddGraph("1",["[pt1]","cr1"],["nodisp"]); -　　nn=32; -　　forall(1..nn, - 　　t=2*pi/nn*#; - 　　Rotatedata(text(#),"ad1",-t,[[0,1],"nodisp"]); - 　　Translatedata(text(#),"rt"+text(#),[t,0],["dr,0.3"]); -　　); -\end{verbatim} +交点ãŒã²ã¨ã¤ã®å ´åˆã‚‚ tmpï¼[ [ 2.45, 0.63 ] ] ã¨2é‡ã®ãƒªã‚¹ãƒˆã«å…¥ã£ã¦ã„ã‚‹ã®ã§ï¼Œç‚¹ã¨ã—ã¦å–出ã™ã«ã¯ \verb|P.xy=tmp_1; | ã¨ã™ã‚‹ã€‚ -\begin{center} -\input{Fig/addgraph} -\end{center} -　ã“ã“ã§ï¼ŒAddGraph()ã®å¼•æ•°ã§ä¸Žãˆã‚‹ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆã§ï¼Œç‚¹ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ pt1 ã‚’"[pt1]" ã¨ã—ã¦ã„ã‚‹ã“ã¨ã«æ³¨æ„。円ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ãŒï¼Œç‚¹ã®åº§æ¨™ã®ãƒªã‚¹ãƒˆã§ã‚ã‚‹ã®ã«å¯¾ã—，点ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ä¸€ã¤ã®åº§æ¨™ã ã‘ãªã®ã§ï¼Œã“ã®ã‚ˆã†ã«ã—ã¦ãƒªã‚¹ãƒˆåŒ–ã—ã¦æ¸¡ã™ã€‚\\ -　\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -　\\ +\vspace{\baselineskip} +注）交点ã®ç®—出ã¯ï¼Œæ•°å¼å‡¦ç†ã«ã‚ˆã‚‹ã®ã§ã¯ãªã，プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‹ã‚‰ã®æ•°å€¤æŽ¢ç´¢ã®ã‚¢ãƒ«ã‚´ãƒªã‚ºãƒ ã«ã‚ˆã£ã¦ã„る。 -\hypertarget{hatchdata}{} -\item[関数]　Hatchdata(name , æ–¹å‘リスト , プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ , optionss) -\item[機能]　閉曲線ã®å†…部ã«æ–œç·šã‚’引ã。 -\item[説明]　引数ã¯ï¼Œæ›²ç·šå，内部外部ã®ãƒ‘ターンを与ãˆã‚‹''i''，''o''ã®æ–‡å—列，閉曲線を与ãˆã‚‹æ›²ç·šåˆ†ã¨é ˜åŸŸã®å†…部を定ã‚ã‚‹æ–¹å‘ã®ãƒªã‚¹ãƒˆã¨ã‚ªãƒ—ション。\\ -　Scilabã§ãƒãƒƒãƒãƒ‡ãƒ¼ã‚¿ã‚’作æˆã—ã¦èªã¿è¾¼ã‚€ã€‚åŒã˜åå‰ã®ãƒãƒƒãƒãƒ‡ãƒ¼ã‚¿ãŒã™ã§ã«ã‚ã‚‹å ´åˆï¼Œ"m"ã‚’ã¤ã‘ã‚‹ã¨ãƒãƒƒãƒãƒ‡ãƒ¼ã‚¿ã‚’強制的ã«æ›´æ–°ã™ã‚‹ã“ã¨ãŒã§ãる。\\ -　\\ -例：円ã®å†…部。(下図左) +\vspace{\baselineskip} +\hypertarget{intersectcrvspp}{} +\item[関数] IntersectcrvsPp(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿1, プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿2) +\item[機能] 2曲線ã®äº¤ç‚¹ã®ãƒ‘ラメータリストをå–å¾—ã™ã‚‹ã€‚ +\item[説明] 2曲線ã®äº¤ç‚¹ã®åº§æ¨™ã¨ãƒ‘ラメータã®ãƒªã‚¹ãƒˆã‚’è¿”ã™ã€‚ + +Intersectcrvs() ã¨ã®é•ã„ã¯ï¼Œãƒ‘ラメータãŒã‚ã‚‹ã‹ã©ã†ã‹ã§ã‚る。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘放物線ã¨ç›´ç·šã®äº¤ç‚¹ã®ãƒ‘ラメータを求ã‚る。 + +2点A(-1,1),B(2.4) を作図ã—ã¦ãŠã。 \begin{verbatim} -　　Circledata([A,B],["dr"]); -　　Hatchdata("1",["i"],[["crAB"]],["dr,0.7","out"]); + Plotdata("1","x^2","x"); + Lineplot([A,B]); + p1=Intersectcrvs("gr1","lnAB"); + p2=IntersectcrvsPp("gr1","lnAB"); + println("p1="+p1); + println("p2="+p2); \end{verbatim} +ã¨ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ã¯ +\begin{verbatim} + p1=[[-1,1],[2,4]] + p2=[[[-1,1],17.68,1],[[2,4],42.66,1]] +\end{verbatim} +ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\vspace{\baselineskip} +\hypertarget{nearestpt}{} +\item[関数] Nearestpt(PD1，PD2) +\item[機能] 2曲線ã«å¯¾ã—，最も近ã„点ã¨ãã®ãƒ‘ラメータ，è·é›¢ã®ãƒªã‚¹ãƒˆã‚’返㙠+\item[説明] 戻り値ã¯ï¼Œãã‚Œãžã‚Œã®æ›²ç·šä¸Šã®ç‚¹ã®åº§æ¨™ã¨ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ä¸ã®ä½ç½®ï¼Œãã®è·é›¢ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘2ã¤ã®æ”¾ç‰©ç·šä¸Šã®ç‚¹ã®æœ€çŸè·é›¢ã¨ãã®ä½ç½®ã‚’求ã‚る。 + +点A,Bを作図ツールã§ã¨ã£ã¦ãŠã。 + +\begin{layer}{150}{0} +\putnotese{80}{5}{ \input{Fig/nearestpt}} +\end{layer} -例：３ã¤ã®é–‰æ›²ç·šã®å†…å´ãƒ»å¤–å´ã®ãƒ‘ターンãŒåŒä¸€ã§ã‚ã‚‹é ˜åŸŸï¼ˆä¸‹å›³å³ï¼‰ \begin{verbatim} -　　Circledata([A,B],["dr"]); -　　Paramplot("1","[4*cos(t),2*sin(t)]","t=[0,2*pi]"); -　　Paramplot("2","[2*cos(t),4*sin(t)]","t=[0,2*pi]"); -　　Hatchdata("1",["ioi"],[["crAB"],["gp1"],["gp2"]],["dr,0.7","out"]); -　　Hatchdata("2",["iio"],[["crAB"],["gp1"],["gp2"]],["dr,0.7","out"]); + Plotdata("1", "x^2+2", "x=[-2,2]"); + Plotdata("2", "-(x-2)^2+1","x=[0,4]"); + plist=Nearestpt("gr1","gr2"); + A.xy=plist_1; + B.xy=plist_3; + Listplot([A,B],["do"]); + Ptsize(2); + Drwpt([A,B]); + Letter([A,"n2w","A",B,"s2e","B",(A+B)/2,"e",text(plist_5)]); \end{verbatim} -　\\ -　　\input{Fig/hatch1} 　　\input{Fig/hatch2} -\newpage -例：複数ã®ãƒ‘ターンã«åˆ†ã‹ã‚ŒãŸé ˜åŸŸã€‚ +ã“ã“㧠plistã«ä»£å…¥ã•ã‚ŒãŸãƒªã‚¹ãƒˆã¯æ¬¡ã®ã‚ˆã†ã«ãªã£ã¦ã„る。 + +\hspace{10mm} [[0.4,2.16],31,[1.58,0.82],20.73,1.78] + +ãªãŠï¼Œè·é›¢ 1.78 ã¯å°æ•°ç‚¹ä»¥ä¸‹ç¬¬3ä½ã‚’å››æ¨äº”å…¥ã—ã¦è¡¨ç¤ºã•ã‚Œã¦ã„る。 + +\vspace{\baselineskip} +\hypertarget{nearestptcrv}{} +\item[関数] Nearestptcrv(座標, プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿) +\item[機能] 点ã«æœ€ã‚‚è¿‘ã„プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ç‚¹ã‚’求ã‚ã‚‹ +\item[説明] 第１引数ã®åº§æ¨™ã«æœ€ã‚‚è¿‘ã„曲線プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ä¸Šã®ç‚¹ã®åº§æ¨™ã‚’è¿”ã™ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘点(3,0)ã«æœ€ã‚‚è¿‘ã„ $y=x^2$ 上ã®ç‚¹ã‚’求ã‚る。 + +点Aã¯(3,0)ã«ï¼Œç‚¹Bã¯é©å½“ãªä½ç½®ã«ä½œå›³ã—ã¦ãŠã，次ã®ã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹ã¨ç‚¹BãŒæ±‚ã‚る点ã¨ãªã‚‹ã€‚ + +\begin{layer}{150}{0} +\putnotese{80}{0}{ \input{Fig/Nearestpt1}} +\end{layer} + \begin{verbatim} -　　Plotdata("1","2*sin(x)","x=[-pi,3*pi]",["Num=100"]); -　　Listplot([A,B]); -　　Listplot([A,C]); -　　io="out"; -　　Hatchdata("1",["ii"],[["sAB","n"],["gr1","s"]],["dr,0.7",io]); -　　Hatchdata("2",["ii"],[["sAC","s"],["gr1","n"]],["dr,0.7",io]); + Plotdata("1", "x^2", "x"); + B.xy=Nearestptcrv(A.xy,"gr1"); + Listplot([A,B],["do"]); + Ptsize(2); + Pointdata("1",[A,B]); + Letter([A,"ne","A",B,"nw","B"]); \end{verbatim} -\begin{center} -\input{Fig/hatch3} -\end{center} -è¤‡æ•°é ˜åŸŸã®æ–œç·šå¡—ã®å ´åˆï¼Œãれらã®é ˜åŸŸã‚’ã¾ã¨ã‚ã¦å‡ºåŠ›ã™ã‚‹ã‹ï¼Œ -ã¾ã¨ã‚ã¦Cinderellaã«èªã¿è¾¼ã‚€å ´åˆãŒå¤šã，ãã®ã‚ˆã†ãªå ´åˆã«ã¯ -4行目ã®ã‚ˆã†ãªæŒ‡å®šã®ä»•æ–¹ã‚‚ã‚る。\\ +注）第１引数ã¯åº§æ¨™ãªã®ã§ï¼Œ\verb|A| ã§ã¯ãªã \verb|A.xy| ã¨ã—ãªã‘ã‚Œã°ãªã‚‰ãªã„。 + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\vspace{\baselineskip} +\hypertarget{numptcrv}{} +\item[関数] Numptcrv (プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿) +\item[機能] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å€‹æ•°ã‚’返㙠+\item[説明] Cindyscript 㧠length(PD)ã¨ã™ã‚‹ã®ã¨åŒã˜ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘ Implicit() 㨠Paramplot() ã§ãã‚Œãžã‚Œæ¥•å††ã‚’æã„ãŸã¨ãã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®é †åºã‚’比較ã™ã‚‹ã€‚ + ãŸã ã—，TeXã«ã¯æ›¸ã出ã•ãªã„。 -例：æ画範囲ã¨ã‚ã‚ã›ã¦é–‰é ˜åŸŸã¨ãªã‚‹å ´åˆã€‚ \begin{verbatim} -　　Plotdata("1","2*sin(x)","x=[-pi,3*pi]",["Num=100"]) -　　Listplot([A,B]); -　　Listplot([A,C]); -　　Hatchdata("1",["iio"],[["sAB","s"],["sAC","n"],["gr1","[0,2]"]], -　　　　　　　　　　　　　　　　　　　　　["dr,0.7","out"]); + Slider("A-C-B",[0,-2],[6,-2]); + Implicitplot("1","x^2+4*y^2=4","x=[-2,2]","y=[-2,2]",["do"]); + Paramplot("1","[2*cos(t)+5,sin(t)]","t=[0,2*pi]",["do","Num=140"]); + println([Numptcrv(imp1),Numptcrv(gp1)]); + n=floor(C.x*2); + repeat(n,s,start->0, + t=s*10+1; + draw(imp1_t,color->hue(s/10)); + draw(gp1_t,color->hue(s/10)); + ); \end{verbatim} + \begin{center} -\input{Fig/hatch4} +\includegraphics[bb=0.00 0.00 305.02 133.01,width=8cm]{Fig/numptcrv.pdf} \end{center} -\newpage +4行目ã§ï¼Œï¼’ã¤ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å€‹æ•°ãŒåŒã˜ã§ã‚ã‚‹ã“ã¨ã‚’確ã‹ã‚ã¦ã„る。 + +スライダを動ã‹ã™ã¨ï¼Œ10個ãŠãã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã«å¯¾å¿œã™ã‚‹ç‚¹ãŒæã‹ã‚Œã‚‹ã€‚ + +\vspace{\baselineskip} +\hypertarget{paramoncrv}{} +\item[関数] Paramoncrv(点ã®åº§æ¨™, 曲線ã®åå‰) +\item[機能] 曲線上ã®ç‚¹ã®ãƒ‘ラメータ値を返ã™ã€‚ +\item[説明] 曲線ã¯æŠ˜ã‚Œç·šã¨ã—ã¦æã‹ã‚Œï¼Œæ›²ç·šä¸Šã®å„点ã¯ã“ã®æŠ˜ã‚Œç·šã®ç¯€ç‚¹ã‚’基準ã¨ã—ãŸãƒ‘ラメータ値をæŒã¤ã€‚パラメータ値ã¯æ•´æ•°éƒ¨åˆ†ãŒç¯€ç‚¹ã®ç•ªå·ï¼Œå°æ•°éƒ¨åˆ†ãŒç¯€é–“ã®ä½ç½®ã‚’表ã™ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘図ã®ã‚ˆã†ãªç‚¹Pã‹ã‚‰Qã«è‡³ã‚‹å††å‘¨ä¸Šã®5ç‰åˆ†ç‚¹ã‚’節点ã¨ã™ã‚‹æŠ˜ã‚Œç·šcr1ã«ãŠã„ã¦ï¼Œ$n$番目ã®ç·šåˆ†ä¸Šã®ç‚¹ã¯$n\leq t\leq n+1$ã®ç¯„囲ã®ãƒ‘ラメータ値をæŒã¤ã€‚ + +ãŸã¨ãˆã°ï¼Œå›³ã®ç‚¹$\mathrm{A}$ã¯2番目ã®ç·šåˆ†ä¸Šã«ã‚り，ã“ã®å€¤ã¯ + +\begin{layer}{150}{0} +\putnotese{80}{0}{ \input{Fig/paramoncrv}} +\end{layer} -例：接線ã§å›²ã¾ã‚ŒãŸé ˜åŸŸã®å ´åˆã€‚ \begin{verbatim} -　　Deffun("f(x)",["regional(y)","y=xï¼¾2*(x-3)","y"]); -　　Plotdata("1","f(x)","x"); -　　PutonCurve("A",gr1,-1); -　　coef=Derivative("f(x)","x","A.x"); -　　Defvar("DC=coef"); -　　Deffun("g(x)",["regional(y)","y=DC*(x-A.x)+A.y","y"]); -　　Plotdata("2","g(x)","x"); -　　Tmp=Intersectcrvs(gr1,gr2); -　　Partcrv("1",A,Tmp＿3,"gr1"); -　　Partcrv("2",A,Tmp＿3,"gr2"); -　　Hatchdata("1",["ii"],[["part1","n"],["part2","s"]],["dr,0.7","out"]); + println(Paramoncrv(A.xy,"cr1")); +\end{verbatim} + +ã«ã‚ˆã£ã¦ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚（ãŸã¨ãˆã°2.45）。 + +点Aã®ä½ç½®ã‚’å‹•ã‹ã™ã¨ãƒ‘ラメータ値ã¯å¤‰ã‚る。 + +\vspace{20mm} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + + +\vspace{\baselineskip} +\hypertarget{pointoncrv}{} +\item[関数] Pointoncrv(点ã®ãƒ‘ラメータ値, PD) +\item[機能] 曲線上ã®ãƒ‘ラメータ値をæŒã¤ç‚¹ã®åº§æ¨™ã‚’è¿”ã™ã€‚ +\item[説明] 曲線（折れ線）上ã®ç¯€ç‚¹ã‚’基準ã¨ã—ãŸãƒ‘ラメータ値ã«ã‚ˆã‚Šç‚¹ã®ä½ç½®ãŒå®šã¾ã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘図ã®ã‚ˆã†ãªç‚¹$\mathrm{P}$ã‹ã‚‰$\mathrm{Q}$ã«è‡³ã‚‹åŠå††å‘¨ä¸Šã®5ç‰åˆ†ç‚¹ã‚’節点ã¨ã™ã‚‹æŠ˜ã‚Œç·šcr1ã«ãŠã„ã¦ï¼Œãƒ‘ラメータ値$4.5$ã‚’æŒã¤ç‚¹$\mathrm{A}$ã¯4番目ã®ç·šåˆ†ã®ä¸ç‚¹ã§ã‚る。ã—ãŸãŒã£ã¦ + +\begin{verbatim} + Circledata("0",[[0,0],[2,0]],["do"]); + Circledata("1",[[0,0],[2,0]],["Num=5","Rng=[0,pi]"]); + tmp=Pointoncurve(4.5,"cr1"); + Pointdata("1",tmp,["Size=3"]); + Letter([tmp,"nw","A",[2,0],"se","P",[-2,0],"sw","Q"]); \end{verbatim} -\begin{center} -\input{Fig/hatch5} -\end{center} -　\\ -斜線ã®å‘ãや間隔を変ãˆã‚‹ã“ã¨ã‚‚ã§ãる。\\ - -\noindent -%ï¿¥Ltab{10mm}{æ–‡} -例：円ã®å†…部ã¾ãŸã¯å††ã¨ç›´ç·šã§åŒºåˆ‡ã‚‰ã‚ŒãŸå›³å½¢\\ -\verb|Circledata([A,B]);|　ã§å††ãƒ‡ãƒ¼ã‚¿ã®åå‰ãŒ crABã¨ãªã‚‹ã€‚ã“れを用ã„ã¦\\ -\verb|Hatchdata("1",["i"],[["crAB"]]);| -円内ã«å‚¾ã$45^{\circ}$ã®æ–œç·šã‚’引ã（下図ha1）\\ -\verb|Hatchdata("2",["i"],[["crAB"]],[-40,2]);| 傾ã$-40^{\circ}$，間隔を2å€ã«ï¼ˆha2）\\ -　　　　　　　　　　　　　　　　　　　　　（間隔ã¯å®Ÿæ•°ã§æŒ‡å®šã§ãる）\\ -\verb|Hatchdata("3",["i"],[["crAB"]],["dr,0.5"]);|　線ã®å¤ªã•ã‚’0.5å€ã«ï¼ˆha3）\\ -\verb|Hatchdata("4",["i"],[["crAB"]],[-45,2,"dr,0.5"]);|　（ha4）\\ - -　　\input{Fig/HatchZuKita1.tex}　\input{Fig/HatchZuKita2.tex}\\ -　　　　　　　図ha1　　　　　　　　　　　図ha2\\ -　　\input{Fig/HatchZuKita3.tex}　\input{Fig/HatchZuKita4.tex}\\ -　　　　　　　図ha3　　　　　　　　　　　図ha4\\ -　\\ - -ã“ã®å††ã«ç›´ç·šã‚’åŠ ãˆé ˜åŸŸã‚’分ã‘る。\\ -　\verb|Lineplot("1",[A,B]);|　 直線データã®åå‰ã¯ ln1\\ -　\verb|Lineplot("2",[A,C]);|　直線データã®åå‰ã¯ ln2\\ -円ã®å†…部ã§å³ä¸Šï¼ˆln1ã¨ln2ã®åŒ—å´ï¼‰ï¼ˆä¸‹å›³ha5）\\ -　\verb|Hatchdata("5",["iii"],[["crAB"],["ln1","n"],["ln2","n"]]);|\\ -円ã®å†…部ã§å³ä¸Šã¨å·¦ä¸‹ï¼ˆä¸‹å›³ha6）\\ -\verb|Hatchdata("6",["iii","ioo"],[["crAB"],["ln1","n"],["ln2","n"]]);|\\ - -　　\input{Fig/HatchZuKita5.tex}　\input{Fig/HatchZuKita6.tex}\\ -　　　　　　　図ha5　　　　　　　　　　図ha6\\ -　\\ -円データcrABを作るãŒæã‹ãªã‘ã‚Œã°å¢ƒç•Œç·šãŒå«ã¾ã‚Œãªã„。（下図ha7）\\ -　\verb|Circledata([A,B],["notex"]);|\\ -　\verb|Hatchdata("7",["i"],[["crAB"]]);|\\ -å¢ƒç•Œç·šã‚’ç ´ç·šã§æãã¨é–‹é›†åˆã®ã‚ˆã†ã«ãªã‚‹ï¼ˆä¸‹å›³ha8）\\ -　\verb|Circledata([A,B],["da"]);|\\ -　\verb|Hatchdata("8",["i"],[["crAB"]]);|\\ - -　　\input{Fig/HatchZuKita7.tex}　\input{Fig/HatchZuKita8.tex}\\ -　　　　　　　図ha7　　　　　　　　　 図ha8\\ - -å•é¡Œï¼šæ¬¡å›³ã®ã‚ˆã†ã«ä¸Šã¨ä¸‹ã§æ–œç·šã®æã分ã‘ã‚’ã™ã‚‹ã«ã¯ï¼Ÿã€€ã€€ã€€ç”ã¯å›³ã®å¾Œã«\\ - -　　　　　　　　　\input{Fig/HatchZuKita9.tex}\\ -　\\ -å•é¡Œã®ç”：次ã®ã‚ˆã†ã«2ã¤ã®ãƒ‡ãƒ¼ã‚¿ã‚’作り両方æã -\begin{verbatim} -　　Hatchdata("9a",["iii"],[["crAB"],["ln1","n"],["ln2","n"]]); -　　Hatchdata("9b",["ioo"],[["crAB"],["ln1","n"],["ln2","n"]],[90,2]); -\end{verbatim} -　　　　（ã“ã®ç”ã¯å›³ha7ã¨å›³ha8ã¨ã®é–¢ä¿‚ã¨åŒã˜ï¼‰ã€€ -　\\ -\hypertarget{dotfilldata}{} -\item[関数]　Dotfilldata(name , æ–¹å‘リスト , プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ , optionss) -\item[機能]ã€€é ˜åŸŸã‚’ç‚¹ã§æ•·ãè©°ã‚る。 -\item[説明]　Scilabã¨ãƒ‡ãƒ¼ã‚¿ã®æŽˆå—ã‚’ãŠã“ãªã£ã¦æç”»ã™ã‚‹ã€‚書å¼ã¯Hatchdata()ã¨åŒã˜\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -　\\ + +ã«ã‚ˆã£ã¦ï¼Œç‚¹Aã‚’ä¸ç‚¹ã«ç½®ãã“ã¨ãŒã§ãる。 -\hypertarget{joincrvs}{} -\item[関数]　Joincrvs(name, プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆ, options) -\item[機能]　隣接ã™ã‚‹æ›²ç·šãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ ã®ãƒªã‚¹ãƒˆã‚’繋ã„ã§1本ã®æ›²ç·šã‚’作る。 -\item[説明]　曲線ã®ãƒªã‚¹ãƒˆã¯éš£æŽ¥ã™ã‚‹é †ç•ªã§æŒ‡å®šã™ã‚‹ã€‚プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åã®é 部ã¯join。\\ -optionsã¯ç·šç¨®ã€€ã€€ã€€"dr, n" , "da,m,n" , "do,m,n"\\ -　\\ -例：線分$y=x\ (-\sqrt{2} \leq x \leq \sqrt{2})$ã¨åŠå††ã‚’繋ã„ã§å¾—られる閉曲線をæã。\\ -\begin{verbatim} -　　Plotdata("1","x","x=[-sqrt(2),sqrt(2)]"); -　　Putpoint("B",[sqrt(2),sqrt(2)]); -　　Circledata("2",[A,B],["Rng=[pi/4,pi/4*5]"]); -　　Joincrvs("3",["gr1","cr2"]); -\end{verbatim} -　\\ -　　　　　　　　\input{Fig/joincrvs.tex} - -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -　\\ -\hypertarget{partcrv}{} -\item[関数]　Partcrv(name, A, B, プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿, options) -\item[機能]　曲線プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ä¸Šã®ç‚¹A, B ã®é–“ã®éƒ¨åˆ†æ›²ç·šã‚’æã。 -\item[説明]　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åã®é 部ã¯part。\\ -optionsã¯ç·šç¨®ã€€ã€€ã€€"dr, n" , "da,m,n" , "do,m,n"\\ - -例1：2点A, Bã®é †åºã¨æ›²ç·šã®å‘ãã«ã‚ˆã£ã¦éƒ¨åˆ†æ›²ç·šãŒæ±ºã¾ã‚‹ã€‚ -曲線ã®å‘ãã¯ï¼Œ$y=f(x)$ã®ã‚°ãƒ©ãƒ•ã§ã¯x座標ãŒå¢—åŠ ã™ã‚‹å‘ã。ã“ã“ã§ï¼ŒPDname="gr1"ã®ã‚ˆã†ã«""ã§å›²ã‚€ã“ã¨ãŒå¿…è¦ã€‚\\ - \verb|Plotdata("1", "x^2", "x", ["do"]);|　（放物線ã®åå‰ã¯gr1）\\ - \verb|Partcrv("1", [0,0], [1,1], "gr1");|　（部分曲線ã®åå‰ã¯part1）\\ - \verb|Partcrv("2", [1,1], [0,0], "gr1");|　（部分曲線ã®åå‰ã¯part2）\\ - -\begin{minipage}{35mm} -\begin{center} -\input{Fig/partcrv1}\\ -part1 ã®å›³ -\end{center} -\end{minipage} -\hspace{10mm} -\begin{minipage}{35mm} -\begin{center} -\input{Fig/partcrv2}\\ -part2 ã®å›³ -\end{center} -\end{minipage} -\vspace{5mm} +\vspace{\baselineskip} + \begin{center} \scalebox{0.9}{\input{Fig/pointoncrv}} \end{center} + +%\vspace{\baselineskip} +\hypertarget{ptcrv}{} +\item[関数] Ptcrv(n,プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿) +\item[機能] 曲線プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®n 番目ã®ç¯€ç‚¹ã‚’返㙠+\item[説明] Cindyscript ã® PD\_n ã¨åŒã˜ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘楕円上ã®ç‚¹ã§åˆ†å‰²ã™ã‚‹ã€‚ã‚ã‹ã‚‰ã˜ã‚å¿…è¦ãªç‚¹ã‚’作図ã—ã¦ãŠã。 -例2：閉曲線ã®ä¾‹ï¼Žãƒ‘ラメータ表示曲線ã¯ãƒ‘ラメータã®å¢—ãˆã‚‹å‘ãã‚’ã‚‚ã¤ã€‚ +\begin{layer}{150}{0} +\putnotese{70}{10}{ \input{Fig/ptcrv}} +\end{layer} \begin{verbatim} -　 Circledata([A,B], ["do"]); - 　 Plotdata("1", "x^2", "x", ["do"]); - 　tmp=Intersectcrvs(crAB, gr1); - 　P.xy=tmp_1; - 　Q.xy=tmp_2; - 　Partcrv("1", P, Q, "crAB"); - 　Partcrv("2", Q, P, "crAB"); + Circledata([O,P],["do","Num=100","notex"]); + Scaledata("1","crOP",4/3,1); + F.xy=[-sqrt(7),0]; + A=Ptcrv(9,sc1); + B=Ptcrv(16,sc1); + Listplot("1",[A,F,B],["da"]); + Partcrv("1",A,B,"sc1",["dr,3"]); + Shade(["part1","sg1"],0.1); + Arrowhead(B,"sc1",[1.5]); + Letter([A,"ne","A",B,"ne","B",F,"s2","F"]); \end{verbatim} -\vspace{5mm} + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\begin{minipage}{45mm} -\begin{center} -\input{Fig/partcrv3}\\ -part1 ã®å›³ -\end{center} -\end{minipage} -\hspace{10mm} -\begin{minipage}{45mm} -\begin{center} -\input{Fig/partcrv4}\\ -part2 ã®å›³ -\end{center} -\end{minipage} -\\ -\\ +\vspace{\baselineskip} +\hypertarget{ptstart}{} +\item[関数] Ptstart(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿) , Ptend(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿) +\item[機能] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®æœ€åˆã®ç‚¹ï¼Œæœ€å¾Œã®ç‚¹ã‚’å–å¾—ã™ã‚‹ã€‚ +\item[説明] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®æœ€åˆã®ç‚¹ï¼Œæœ€å¾Œã®ç‚¹ã®åº§æ¨™ã‚’è¿”ã™ã€‚ -例3：放物線$y=x^2$ãŒå††ã§åˆ‡ã‚Šå–られる部分をæã。 +\vspace{\baselineskip} +ã€ä¾‹ã€‘定義域をé™å®šã—ãŸã‚°ãƒ©ãƒ•ã®ä¸¡ç«¯ã®ç‚¹ã‚’å–å¾—ã—線分ABを引ã。 \begin{verbatim} -　　Circledata([A,B]); -　　Plotdata("1","x^2","x",["do"]); -　　tmp3=Intersectcrvs("crAB","gr1"); -　　Partcrv("2",tmp3_2,tmp3_1,"gr1",["dr,2"]); + Deffun("f(x)",["regional(y)","y=x^2","y"]); + Plotdata("1","f(x)","x",["do"]); + Plotdata("2","f(x)","x=[-1,2]"); + Lineplot("1",[Ptstart(gr2),Ptend(gr2)],["do"]); + Listplot("1",[Ptstart(gr2),Ptend(gr2)]); + Letter([A,"w2","A",B,"e2","B"]); \end{verbatim} -\input{Fig/partcrv} +\vspace{\baselineskip} +\begin{center} \input{Fig/ptstart} \end{center} -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{\baselineskip} +\hypertarget{readoutdata}{} +\item[関数] ReadOutData(ファイルå） +\item[機能] 外部データをプãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¨ã—ã¦èªã¿è¾¼ã‚€ +\item[説明] Cã‚„Rãªã©ã§ä½œæˆã—ãŸKeTCindyå½¢å¼ã®ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’èªã¿è¾¼ã‚€ã€‚ +引数をçœç•¥ã—ãŸå ´åˆã¯ï¼ŒFheadã§å®šç¾©ã—ãŸãƒ•ã‚¡ã‚¤ãƒ«åã®ãƒ†ã‚ストファイルã‹ã‚‰èªã¿è¾¼ã‚€ã€‚ -\hypertarget{putoncurve}{} -\item[関数]　PutonCurve(点ã®åå‰, プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿, options) -\item[機能]　曲線上ã«ç‚¹ã‚’ä¹—ã›ã‚‹ã€‚ -\item[説明]　点ãŒå˜åœ¨ã—ãªã„å ´åˆã¯æ–°ãŸã«ä½œã‚‹ã€‚ã™ã§ã«ãã®ç‚¹ãŒå˜åœ¨ã™ã‚‹å ´åˆã¯ï¼Œãã®ç‚¹ã®$x$座標を使ã†ã€‚åˆæœŸå€¤ã®$x$座標ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ 0。\\ -optionsã¯[$x$座標ã®ç¯„囲]。\\ +ファイルåã«ã¯ã‚³ãƒ³ãƒžã§åŒºåˆ‡ã£ã¦ãƒ‘スを与ãˆã‚‹ã“ã¨ãŒã§ãる。ãŸã¨ãˆã°ï¼Œ + +\verb|ReadOutData("/datafolder","file.txt"); | + +KeTCindyå½¢å¼ã®ãƒ‡ãƒ¼ã‚¿ã¨ã¯ + +　変数å// \\ +　start// （リストã®å§‹ã¾ã‚Šï¼‰ \\ +　[ , , ], …. // （個々ã®ãƒ‡ãƒ¼ã‚¿ï¼’ã‹ï¼“次元） \\ +　… \\ +　end// （リストã®çµ‚ã‚り） \\ +　start// （次ã®ãƒªã‚¹ãƒˆã®å§‹ã¾ã‚Šï¼‰ \\ + … \\ +　end// \\ +　変数å// \\ +　start// \\ +　… \\ +　end// \\ + +ã®å½¢å¼ã®ãƒ†ã‚ストファイル。 + +\vspace{\baselineskip} +\hypertarget{writeoutdata}{} +\item[関数] WriteOutData(ファイルå,PDリスト） +\item[機能] 外部データã«æ›¸ã出㙠+\item[説明] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’KeTCindyå½¢å¼ã®ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã«æ›¸ã出ã™ã€‚出力先㮠åˆæœŸè¨å®šã¯ä½œæ¥ãƒ•ã‚©ãƒ«ãƒ€ã€‚ + +ã€ä¾‹ã€‘　放物線ã¨å††ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’書ã出ã™ã€‚ -例：アステãƒã‚¤ãƒ‰ä¸Šã®å‹•ç‚¹P ã‚’ã¨ã‚‹ã€‚ \begin{verbatim} -　　Paramplot("1","[2*cos(t)^3,2*sin(t)^3]","t=[0,2*pi]"); -　　PutonCurve("P","gp1",[-1,1]); + Plotdata("1", "x^2","x"); + Circledata("1",[[0,0],[1,0]]); + WriteOutData("figdata.txt",["gr1",gr1,"cr1",cr1]); \end{verbatim} -点PãŒã‚¢ã‚¹ãƒ†ãƒã‚¤ãƒ‰ä¸Šã«ã§ã，ã“ã®ç‚¹ã¯ãƒ‰ãƒ©ãƒƒã‚°ã™ã‚‹ã¨ã‚¢ã‚¹ãƒ†ãƒã‚¤ãƒ‰ä¸Šã‚’ $-1 \leq x\leq 1$ ã®ç¯„囲ã§å‹•ã‹ã™ã“ã¨ãŒã§ãる。\\ -　　　　　　　　\input{Fig/putoncurve.tex} +書ã出ã•ã‚ŒãŸãƒ•ã‚¡ã‚¤ãƒ«ã®ä¸èº«ã¯æ¬¡ã®ã‚ˆã†ã«ãªã£ã¦ã„る。 -　\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\begin{verbatim} +gr1// +start// +[[-2.68843,7.22765],[-2.51807,6.34067],・・,[-2.00698,4.02798]]// +[[-1.83662,3.37318],[-1.66626,2.77642],・・,[-1.15518,1.33443]]// +　　以下，åŒæ§˜ã«ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ãŒç¶šã +[[5.82965,33.98479]]// +end// +cr1// +start// +[[1,0],[0.99211,0.12533],[0.96858,0.24869],・・,[0.80902,0.58779]]// +　　以下，åŒæ§˜ã«ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ãŒç¶šã +[[0.87631,-0.48175],[0.92978,-0.36812],・・,[1,0]]// +end//// +\end{verbatim} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\hypertarget{reflextdata}{} -\item[関数]　Reflectdata(name , プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ , 対称点ã¾ãŸã¯å¯¾ç§°è»¸,options) -\item[機能]　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®é¡æ˜ ã‚’ä½œæˆ -\item[説明]　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’指定ã•ã‚ŒãŸç‚¹ã¾ãŸã¯è»¸ã«é–¢ã—ã¦å¯¾ç§°ç§»å‹•ã™ã‚‹ã€‚\\ -　対称点ã¯åº§æ¨™ã¾ãŸã¯ï¼Œç‚¹ã®è˜åˆ¥å。ãŸã ã—，対称点を座標ã§ç¤ºã™ã¨ãã¯è¦ç´ ãŒã²ã¨ã¤ã®ãƒªã‚¹ãƒˆã«ã™ã‚‹ã€‚\\ -　対称軸ã¯ãƒªã‚¹ãƒˆ[ 点1, 点2 ]　ã§æŒ‡å®š\\ -　optionsã¯ç·šç¨®\\ -\\ -例：ä¸å¿ƒA , åŠå¾„ABã®å††ã‚’æã，ãã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’用ã„ã¦ï¼Œ\\ -　　点Cã«é–¢ã—ã¦å¯¾ç§°ãªå††ã‚’\\ -　　　点(-1,2)ã«é–¢ã—ã¦å¯¾ç§°ãªå††ã‚’太ã„実線ã§\\ -　　　直線DEã«é–¢ã—ã¦å¯¾ç§°ãªå††ã‚’ç ´ç·šã§\\ -　　ãã‚Œãžã‚Œæã。\\ -　　作æˆã•ã‚Œã‚‹ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å称を rf1 ,rf2 ,rf3 ã¨ã™ã‚‹ã€‚ +\vspace{\baselineskip} +\hypertarget{extractdata}{} +\item[関数] Extractdata(データå,属性） +\item[機能] ReadOutData() ã§èªã¿è¾¼ã‚“ã データã«å±žæ€§ã‚’ã¤ã‘る。 +\item[説明] ReadOutData() ã§èªã¿è¾¼ã‚“ã データã«ã¯ï¼Œç·šç¨®ãªã©ã®å±žæ€§ãŒã¤ã„ã¦ã„ãªã„ã®ã§ï¼Œãã®ã¾ã¾ã§ã¯è¡¨ç¤ºã•ã‚Œãªã„。ãã“ã§ï¼Œã“ã®é–¢æ•°ã«ã‚ˆã‚Šå±žæ€§ã‚’ã¤ã‘ã¦è¡¨ç¤ºã™ã‚‹ã€‚ \begin{verbatim} -　　　Circledata([A,B]);\\ -　　　Reflectdata("1","crAB",[C]);\\ -　　　Reflectdata("2","crAB",[[-1,2]],["dr,2"]);\\ -　　　Reflectdata("3","crAB",[D,E],["da"]);\\ + ReadOutData("figdata.txt"); + Extractdata("gr1",["da"]); \end{verbatim} -　\\ -　　　\input{Fig/reflectdata} -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\end{description} +%\newpage +% ======== 計算 ======================= +\subsection{計算} -\hypertarget{rotatedata}{} -\item[関数]　Rotatedata(name , プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ ，角度 , [ä¸å¿ƒ , options]) -\item[機能]　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ä½ç½®ã‚’回転ã™ã‚‹ -\item[説明]　図形を，ä¸å¿ƒã§ç¤ºã•ã‚ŒãŸç‚¹ã®å‘¨ã‚Šã«å›žè»¢ã™ã‚‹ã€‚角度ã¯å¼§åº¦æ³•ã§ä¸Žãˆã‚‹\\ -　ä¸å¿ƒã¨optionsã¯ã¾ã¨ã‚ã¦ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚optionsã¯ç·šç¨®\\ +\begin{description} -\begin{spacing}{1.5} -例：ä¸å¿ƒA , åŠå¾„ABã®å††ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’æã，\\ -　　　点Cã‚’ä¸å¿ƒã«$\dfrac{\pi}{2} $ã ã‘回転ã—ãŸå††\\ -　　　点(1,5)ã‚’ä¸å¿ƒã«$\dfrac{\pi}{3}$ ã ã‘回転ã—，線を太ãã—ãŸå††\\ -　　　点Dã‚’ä¸å¿ƒã« $-\dfrac{\pi}{3} $ã ã‘回転ã—ï¼Œç ´ç·šã«ã—ãŸå††\\ -　　をãã‚Œãžã‚Œæã。\\ -　　作æˆã•ã‚Œã‚‹ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å称を rt1 ,rt2 ,rt3 ã¨ã™ã‚‹ã€‚ -\end{spacing} +\hypertarget{derivative}{} +\item[関数] Derivative(é–¢æ•°å¼ , 変数 , 値) +\item[機能] 関数ã®å¾®åˆ†ä¿‚数を求ã‚ã‚‹ +\item[説明] 関数å¼ã§ä¸Žãˆã‚‰ã‚ŒãŸé–¢æ•°ã®ï¼Œã€Œå¤‰æ•°ï¼å€¤ã€ã«ãŠã‘る微分係数を求ã‚る。 + +値ã¯ï¼Œç‚¹ã®åº§æ¨™ã‚’用ã„ã‚‹ã“ã¨ãŒã§ãる。点Aã®x座標ã§ã‚ã‚Œã°ï¼Œ A.x ã¨ã™ã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘3次曲線上ã®ç‚¹Aã§æŽ¥ç·šã‚’引ã。点A,Bã¯ä½œå›³ãƒ„ールã§é©å½“ã«ã¨ã£ã¦ãŠã。 \begin{verbatim} -　　　Circledata([A,B]);\\ -　　　Rotatedata("1","crAB",pi/2,[C]);\\ -　　　Rotatedata("2","crAB",pi/3,[[1,5],"dr,2"]);\\ -　　　Rotatedata("3","crAB",-pi/3,[D,"da"]);\\ + Deffun("f(x)",["regional(y)","y=x^3-4*x","y"]); + coef=Derivative("f(x)","x",A.x); + A.y=f(A.x); + B.y=coef*(B.x-A.x)+A.y; + Plotdata("1","f(x)","x",["Num=200"]); + Lineplot([A,B]); + Letter([A,"ne","A"]); \end{verbatim} -　\\ -　　　　　　\input{Fig/rotatedata} +%\vspace{\baselineskip} + \begin{center} \input{Fig/derivative} \end{center} +%\vspace{\baselineskip} -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\hypertarget{scaledata}{} -\item[関数]　Scaledata(name , プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼Œxæ–¹å‘比率 , yæ–¹å‘比率 , [ä¸å¿ƒ , options]) -\item[機能]　図形ã®ä½ç½®ã‚’拡大・縮å°ã™ã‚‹ -\item[説明]　図形ã®ä½ç½®ã‚’プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’用ã„ã¦æŒ‡å®šã•ã‚ŒãŸæ¯”率ã§æ‹¡å¤§ãƒ»ç¸®å°ã™ã‚‹\\ -　ä¸å¿ƒã¨optionsã¯ã¾ã¨ã‚ã¦ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚optionsã¯ç·šç¨®\\ - -例：ä¸å¿ƒA,åŠå¾„ABã®å††ã‚’æã„ã¦ãŠã。プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿å㯠crABã¨ãªã‚‹ã€‚\\ -　　ã“ã®å††ã‚’\\ -　　　原点ä¸å¿ƒã«$x$軸方å‘ã«ï¼“，$y$軸方å‘ã«ï¼’ã ã‘平行移動ã™ã‚‹ã€‚\\ -　　　Ｃをä¸å¿ƒã«$x$軸方å‘ã«ï¼“，$y$軸方å‘ã«ï¼’ã ã‘平行移動ã—，実線ã§å¤ªãæã。\\ -　　　原点ä¸å¿ƒã«ãƒ™ã‚¯ãƒˆãƒ«$\overrightarrow{OD} $ã ã‘平行移動ã—ï¼Œç ´ç·šã§æã。 -\begin{verbatim} -　　　Circledata([A,B]); -　　　Scaledata("1","crAB",3,2,[[0,0]]); -　　　Scaledata("2","crAB",3,2,[C,"dr,2"]); -　　　Scaledata("3","crAB",D.x,D.y,[[0,0],"da"]); -\end{verbatim} -　　　　　　　\input{Fig/scaledata}\\ -　\\ -%\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\hypertarget{shade}{} -\item[関数]　Shade(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆ , optionss) -\item[機能]　閉曲線ã§å›²ã¾ã‚ŒãŸé ˜åŸŸã‚’å¡—ã‚Šã¤ã¶ã™ã€‚ -\item[説明]　第１引数ã«ã¯ï¼Œé–‰æ›²ç·šã‚’与ãˆã‚‹æ›²ç·šåˆ†ã®ãƒªã‚¹ãƒˆã‚’並ã¹ã‚‹ã€‚\\ -　optionssã¯ï¼ŒCinderellaã®ç”»é¢ä¸Šã§ã®æ画色，濃ã•ã‚’リストã§ä¸Žãˆã‚‹ã€‚\\ +ãªãŠï¼Œæ›²ç·šã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’用ã„ã¦ï¼Œå¾®åˆ†ä¿‚数を求ã‚ã‚‹ã“ã¨ã‚‚ã§ãる。 + +書å¼ã¯ï¼ŒDerivative(PD , 値) ã§ï¼Œæ¬¡ã®ã‚ˆã†ã«ä½¿ã†ã€‚（上ã®ä¾‹ã¨åŒã˜å›³ãŒã§ãる） -例：$y=2\sin x$ã®ã‚°ãƒ©ãƒ•ã¨ç›´ç·š$y=1$（直線ABã®ä¸€éƒ¨ï¼‰ã¨ã§å›²ã¾ã‚ŒãŸéƒ¨åˆ†ã«0.5ã®æ¿ƒã•ã§è‰²ã‚’塗る。 \begin{verbatim} -　　Setax([7,"nw"]); -　　Plotdata("1","2*sin(x)","x",["Num=100"]); -　　Plotdata("2","2*sin(x)","x=[5*pi/6,13*pi/6]",["Num=100"]); -　　Lineplot("1",[[0,1],[1,1]]); -　　Listplot("1",[[5*pi/6,1],[13*pi/6,1]]); -　　Shade(["gr2","sg1"],[0.5]); + Deffun("f(x)",["regional(y)","y=x^3-4*x","y"]); + Plotdata("1","f(x)","x",["Num=200"]); + coef=Derivative("gr1","x="+A.x); + A.y=f(A.x); + B.y=coef*(B.x-A.x)+A.y; + Lineplot([A,B]); + Letter([A,"ne","A"]); \end{verbatim} -\begin{center} -\input{Fig/shade} -\end{center} -例：２ã¤ã®æ”¾ç‰©ç·šã§å›²ã¾ã‚ŒãŸéƒ¨åˆ†ã«0.2ã®æ¿ƒã•ã§è‰²ã‚’塗る。Cinderellaã®ç”»é¢ã§ã¯èµ¤ã§å°‘ã—è–„ã塗る。 +ã¾ãŸï¼Œæ›²ç·šã®æŽ¥ç·šã«ã¤ã„ã¦ã¯ï¼Œ\hyperlink{tangentplot}{Tangentplot}ã‚‚å‚ç…§ã•ã‚ŒãŸã„。 + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\vspace{\baselineskip} +\hypertarget{integrate}{} +\item[関数] integrate(é–¢æ•°å¼ , 変数$=$範囲 , options) +\item[関数] integrate(PD , 範囲 , options) +\item[機能] 関数å¼ã¾ãŸã¯ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§ä¸Žãˆã‚‰ã‚ŒãŸé–¢æ•°ï¼ˆãƒ‡ãƒ¼ã‚¿ï¼‰ã®æ•°å€¤ç©åˆ†ã®å€¤ã‚’求ã‚る。 +\item[説明] optionsã¯æ¬¡ã®é€šã‚Šã€‚ + + "Rule=s" ： シンプソン法ã«ã‚ˆã‚‹ã€‚ åˆæœŸè¨å®šã¯å¤§å³¶ãƒ™ã‚¸ã‚§å…¬å¼ã€‚ + + "Num=数値" ： 分割数ã®æŒ‡å®šã€‚åˆæœŸå€¤ã¯ 100 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘$f(x)=x^3-2x^2+2$ ã«ã¤ã„ã¦ï¼Œ0ã‹ã‚‰3ã¾ã§ã®å®šç©åˆ†ã®å€¤ã‚’求ã‚る。 \begin{verbatim} -　　Plotdata("1","x^2-1","x=[-sqrt(2),sqrt(2)]",["Num=100"]); -　　Plotdata("2","x^2/2","x=[-sqrt(2),sqrt(2)]",["Num=100"]); -　　Shade(["gr2","gr1"],[0.2,"Color=[1,0,0]","alpha->0.4"]); + f(x):=x^3-2*x^2+2; + val=Integrate("f(x)","x=[0,3]"); + println(val); //8.25ãŒè¡¨ç¤ºã•ã‚Œã‚‹ \end{verbatim} -\begin{center} -\input{Fig/shade01} -\end{center} - -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage -\hypertarget{translatedata}{} -\item[関数]　Translatedata(name , プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ , 移動ベクトル , options) -\item[機能]　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’平行移動ã™ã‚‹ -\item[説明]　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’移動ベクトルã§ç¤ºã•ã‚ŒãŸåˆ†ã ã‘平行移動ã™ã‚‹ã€‚\\ -　nameã¯ã“ã‚Œã«ã‚ˆã£ã¦ã¤ãるプãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å称をè¨å®šã€‚å˜ãªã‚‹ç•ªå·ã¯ä¸å¯ã€‚\\ -　optionsã¯ç·šç¨®\\ -\\ -例：ä¸å¿ƒA,åŠå¾„ABã®å††ã‚’æã„ã¦ãŠã。プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿å㯠crABã¨ãªã‚‹ã€‚\\ -　　ã“ã®å††ã‚’\\ -　　x軸方å‘ã«ï¼’，y軸方å‘ã«ï¼“ã ã‘平行移動ã™ã‚‹ã€‚\\ -　　ベクトル$\overrightarrow{OC} $ã ã‘平行移動ã—，実線ã§å¤ªãæã。\\ -　　ベクトル$\overrightarrow{OD} $ã ã‘平行移動ã—ï¼Œç ´ç·šã§æã。\\ -　　作æˆã•ã‚Œã‚‹ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å称を tr1 , tr2 , tr3 ã¨ã™ã‚‹ã€‚ +\vspace{\baselineskip} +ã€ä¾‹ã€‘上ã®ä¾‹ã¨åŒã˜é–¢æ•°ã‚’プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§æŒ‡å®šã™ã‚‹ã€‚ \begin{verbatim} -　　Circledata([A,B]); -　　Translatedata("tr1","crAB",[2,3]); -　　Translatedata("tr2","crAB",C,["dr,2"]); -　　Translatedata("tr3","crAB",D,["da"]); + plotdata("1","x^3-2*x^2+2","x"); + println(Integrate("gr1",[0,3])); \end{verbatim} -　\\ -　　　　　　　\input{Fig/translatedata} + +\vspace{\baselineskip} +\hypertarget{inversefun}{} +\item[関数] Inversefun(関数 , 範囲 , 値) +\item[機能] 関数ã®é€†é–¢æ•°å€¤ã‚’求ã‚ã‚‹ +\item[説明] 関数ã¯æ–‡å—列ã§ï¼Œé–¢æ•°å¼ã‚‚ã—ãã¯å®šç¾©ã•ã‚ŒãŸé–¢æ•°åã¨ã™ã‚‹ã€‚\\ + 指定ã•ã‚ŒãŸç¯„囲ã®ä¸ã§é€†é–¢æ•°å€¤ã‚’求ã‚る。å˜åœ¨ã—ãªã„å ´åˆã¯ä¸€æ–¹ã®ç«¯ç‚¹ã‚’戻り値ã¨ã—，コンソールã«ã€Œnot foundã€ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ + +æ•°å¼å‡¦ç†ã§ã¯ãªã数値探索ã®ã‚¢ãƒ«ã‚´ãƒªã‚ºãƒ を使ã£ã¦ã„ã‚‹ã®ã§ï¼Œå˜èª¿é–¢æ•°ã§ãªã„å ´åˆã¯ç¯„囲をã§ãã‚‹ã ã‘ç‹ãã¨ã‚‹ã¨ã‚ˆã„。値ãŒè¤‡æ•°ã‚ã‚‹å ´åˆã¯ï¼Œå°ã•ã„ã»ã†ãŒè¿”ã•ã‚Œã‚‹ã€‚ + + +\vspace{\baselineskip} +ã€ä¾‹ã€‘\verb|x=Inversefun("sin(x)","x=[0,pi/2]",0.5);| + +実行ã™ã‚‹ã¨ $x=0.5236$ ã¨ãªã‚‹ã€‚ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} \end{description} -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} \newpage -% =============================== -\subsection{å¾®ç©åˆ†ãªã©} +%==========値ã®å–å¾—ã¨å…¥å‡ºåŠ›========================= +\subsection{値ã®å–å¾—ã¨å…¥å‡ºåŠ›} + + 計算値やプãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å€¤ã‚’å–å¾—ã—ãŸã‚Šï¼ŒR用ã¨ã®ãƒ‡ãƒ¼ã‚¿ã®ã‚„ã‚Šã¨ã‚Šã‚’ã™ã‚‹ã€‚ \begin{description} +\hypertarget{bbdata}{} +\item[関数] BBdata(ファイルå,option） +\item[機能] ç”»åƒãƒ•ã‚¡ã‚¤ãƒ«ã®ã‚µã‚¤ã‚ºã‚’求ã‚ã‚‹ +\item[説明] TeX文書ã«ãŠã„ã¦ï¼Œinputgraphics コマンドã§ç”»åƒã‚’貼り込むã¨ãã®BBサイズを求ã‚る。 +TeX処ç†ç³»ã® extractbb を用ã„ã¦ç”»åƒãƒ•ã‚¡ã‚¤ãƒ«ã‹ã‚‰BBデータを作り，テã‚ストファイルã¨ã—ã¦ä½œæ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã«æ›¸ã出ã™ã€‚ã“れをèªã‚“ã§ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã« ingludegarphics ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’書ã出ã™ã€‚ã“れをãã®ã¾ã¾ã‚³ãƒ”ーã™ã‚Œã°ã‚ˆã„。 ãªãŠï¼Œbbã®å€¤ã¯æ•´æ•°å€¤ã§ã¯ãªã，高精細ã®å€¤ã‚’å°æ•°ç‚¹ä»¥ä¸‹2æ¡ã«å››æ¨äº”å…¥ã—ã¦ç¤ºã•ã‚Œã‚‹ã€‚ ç”»åƒãƒ•ã‚¡ã‚¤ãƒ«ã¯ï¼ŒPDFã«é™ã‚‰ãšï¼ŒPNG，JPGãªã©ã§ã‚‚よã„。 + +optionã¯ï¼Œå¹…ã¾ãŸã¯é«˜ã•ã®æŒ‡å®šã€‚ -\hypertarget{derivative}{} -\item[関数]　Derivative(é–¢æ•°å¼ , 変数 , 値) -\item[機能]　関数ã®å¾®åˆ†ä¿‚数を求ã‚ã‚‹ -\item[説明]　関数å¼ã§ä¸Žãˆã‚‰ã‚ŒãŸé–¢æ•°ã®ï¼Œã€Œå¤‰æ•°ï¼å€¤ã€ã«ãŠã‘る微分係数を求ã‚る。\\ -値ã¯ï¼Œç‚¹ã®åº§æ¨™ã‚’用ã„ã‚‹ã“ã¨ãŒã§ãる。点Aã®x座標ã§ã‚ã‚Œã°ï¼Œ A.x ã¨ã™ã‚‹ã€‚\\ - -例：3次曲線上ã®ç‚¹Aã§æŽ¥ç·šã‚’引ã。点A,Bã¯ä½œå›³ãƒ„ールã§ã¨ã£ã¦ãŠã。 -\begin{verbatim} -　　Deffun("f(x)",["regional(y)","y=x^3-4*x","y"]); -　　coef=Derivative("f(x)","x",A.x); -　　A.y=f(A.x); -　　B.y=coef*(B.x-A.x)+A.y; -　　Plotdata("1","f(x)","x",["Num=200"]); -　　Lineplot([A,B]); -　　Letter([A,"ne","A"]); -\end{verbatim} -　\\ -　　\input{Fig/derivative}\\ -　\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +"w=40mm" 㧠width=40mm ãŒï¼Œ"h=40mm" 㧠height=40mm ãŒä»˜åŠ ã•ã‚Œã‚‹ã€‚ -\hypertarget{integrate}{} -\item[関数]　integrate(é–¢æ•°å¼ , 変数 , 範囲 , options) -\item[関数]　integrate(PD , 範囲 , options) -\item[機能]　関数å¼ã¾ãŸã¯ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§ä¸Žãˆã‚‰ã‚ŒãŸæ›²ç·šã®ç©åˆ†å€¤ã‚’求ã‚ã‚‹ -\item[説明]　関数å¼ã¾ãŸã¯ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§ä¸Žãˆã‚‰ã‚ŒãŸæ›²ç·šã®ï¼ŒæŒ‡å®šã•ã‚ŒãŸç¯„囲ã®å®šç©åˆ†ã®å€¤ã‚’求ã‚る。\\ -関数を与ãˆãŸã¨ãã®optionsã¯æ¬¡ã®é€šã‚Šã€‚\\ -　"Rule=s"　　：　シンプソン法ã«ã‚ˆã‚‹ã€‚デフォルトã¯å°å½¢å…¬å¼ã€‚\\ -　　　　　　　　　"R=s"ã¨ç•¥è¨˜ã§ãる。\\ -　"Num=数値"　：　分割数ã®æŒ‡å®šã€‚åˆæœŸå€¤ã¯ 100 \\ -　一般ã«ã¯ã‚·ãƒ³ãƒ—ソン法ã®æ–¹ãŒç²¾åº¦ãŒã‚ˆã„ãŒï¼Œãã†ã§ã¯ãªã„å ´åˆã‚‚ã‚る。\\ -　\\ -例：$f(x)=x^3-2x^2+2$ ã«ã¤ã„ã¦ï¼Œ0ã‹ã‚‰3ã¾ã§ã®å®šç©åˆ†ã®å€¤ã‚’求ã‚る。\\ -　CindyScriptã§ã¯ï¼Œguess()関数を用ã„ã‚‹ã¨ï¼Œå¯èƒ½ãªå ´åˆã¯å€¤ã‚’分数表記ã«ã™ã‚‹ã€‚ -\begin{verbatim} -　　f(x):=x^3-2*x^2+2; -　　println(guess(Integrate("f(x)","x",[0,3],["Num=200"]))); -　　println(guess(Integrate("f(x)","x",[0,3],["Num=5","Rule=s"]))); -\end{verbatim} -を実行ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«çµæžœãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚シンプソン法ã§ã¯ 33/4 ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ -整関数ã®å ´åˆï¼Œã‚·ãƒ³ãƒ—ソン法ã§ã¯åˆ†å‰²æ•°ãŒã‹ãªã‚Šå°‘ãªãã¦ã‚‚高ã„精度ãŒå¾—られる。\\ -整関数ã§ãªã„å ´åˆï¼Œåˆ†å‰²æ•°ã‚’区間幅ã®10ã®æ•´æ•°å€ã«ã™ã‚‹ã¨ã‚ˆã„精度ã«ãªã‚‹ã€‚\\ -ãŸã¨ãˆã°ï¼Œ$f(x)=\sqrt{x} $ã®å ´åˆï¼ŒåŒºé–“㌠[2,9] ã§ã‚ã‚Œã°ï¼ŒNum=100 よりも Num=70 ã®æ–¹ãŒç²¾åº¦ãŒã‚ˆã„。\\ -　\\ -　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’与ãˆãŸã¨ãã¯ï¼Œã‚¢ãƒ«ã‚´ãƒªã‚ºãƒ ãŒç•°ãªã‚‹ã®ã§ä¸Šè¨˜ã‚ªãƒ—ションã¯ç„¡åŠ¹ã€‚\\ -例：上ã®ä¾‹ã¨åŒã˜é–¢æ•°ã‚’プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§æŒ‡å®šã™ã‚‹ã€‚ -\begin{verbatim} -　　plotdata("1","x^3-2*x^2+2","x"); -　　println(Integrate("gr1",[0,3])); -\end{verbatim} -　\\ -　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§ä¸Žãˆã‚‹æ–¹æ³•ã¯ï¼ŒRを利用ã—ã¦æ£è¦åˆ†å¸ƒæ›²ç·šã‚’æã„ãŸã¨ããªã©ã«è¨˜è¿°ãŒæ¥½ã«ãªã‚‹ã€‚\hyperlink{plotdatar}{PlotdataR()} ã®é …ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ -　\\ - -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage -\hypertarget{invesefun}{} -\item[関数]　Inversefun(関数 , 範囲 , 値) -\item[機能]　関数ã®é€†é–¢æ•°å€¤ã‚’求ã‚ã‚‹ -\item[説明]　関数ã¯æ–‡å—列ã§ï¼Œé–¢æ•°å¼ã‚‚ã—ãã¯å®šç¾©ã•ã‚ŒãŸé–¢æ•°åã¨ã™ã‚‹ã€‚\\ -　指定ã•ã‚ŒãŸç¯„囲ã®ä¸ã§é€†é–¢æ•°å€¤ã‚’求ã‚る。å˜åœ¨ã—ãªã„å ´åˆã¯ä¸€æ–¹ã®ç«¯ç‚¹ã‚’戻り値ã¨ã—，コンソールã«ã€Œnot foundã€ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -　数å¼å‡¦ç†ã§ã¯ãªã数値探索ã®ã‚¢ãƒ«ã‚´ãƒªã‚ºãƒ を使ã£ã¦ã„ã‚‹ã®ã§ï¼Œå˜èª¿é–¢æ•°ã§ãªã„å ´åˆã¯ç¯„囲をã§ãã‚‹ã ã‘ç‹ãã¨ã‚‹ã¨ã‚ˆã„。値ãŒè¤‡æ•°ã‚ã‚‹å ´åˆã¯ï¼Œå°ã•ã„ã»ã†ãŒè¿”ã•ã‚Œã‚‹ã€‚\\ - -例：\verb|x=Inversefun("sin(x)","x=[0,pi/2]",0.5);|\\ -　　実行ã™ã‚‹ã¨ $x=\dfrac{\pi}{6}$ ã¨ãªã‚‹ã€‚ -\begin{verbatim} -　　　Deffun("f(x)", ["regional(y)","y=sin(x)","y"]); -　　　x=Inversefun("f(x)","x=[0,pi/2]",0.5); -\end{verbatim} -　　ã§ã‚‚åŒã˜çµæžœãŒè¿”ã•ã‚Œã‚‹ã€‚\\ -　　　\verb|x=Inversefun("f(x)","x=[pi/3,pi]",0.97);|\\ -　　ã¯åŒºé–“è¨å®šãŒä¸é©åˆ‡ã§æ£ã—ã„çµæžœãŒå¾—られãªã„。\\ -　\\ -例：アステãƒã‚¤ãƒ‰ä¸Šã«ç‚¹Pã‚’ã¨ã‚Šï¼ŒPã®$x$座標ã‹ã‚‰ï¼Œé€†é–¢æ•°å€¤$t$を求ã‚ã¦æŽ¥ç·šã‚’引ã。\\ -　　ã§ããŸç‚¹Pã¯ãƒ‰ãƒ©ãƒƒã‚°ã—ã¦ã‚¢ã‚¹ãƒ†ãƒã‚¤ãƒ‰ä¸Šã‚’å‹•ã‹ã™ã“ã¨ãŒã§ãる。 -\begin{verbatim} -　　　Deffun("fx(t)", ["regional(x)","x=2*cos(t)^3","x"]); -　　　Deffun("fy(t)", ["regional(y)","y=2*sin(t)^3","y"]); -　　　Paramplot("1","[fx(t),fy(t)]","t=[0,2*pi]"); -　　　PutonCurve("P",gp1,1); -　　　if(P.y>=0,range="t=[0,pi]",range="t=[pi,2*pi]"); -　　　t0=Inversefun("fx(t)",range,P.x); -　　　dx=Derivative("fx(t)","t",t0);　dy=Derivative("fy(t)","t",t0); -　　　Putpoint("Q",[0,0],P.xy+[dx,dy]); -　　　Lineplot([P,Q]); -　　　Drawpoint(P); -　　　Letter(P,"ne","P"); -\end{verbatim} -　　　　　　　　　　　　\input{Fig/inversefun} +\vspace{\baselineskip} +ã€ä¾‹ã€‘ + +\vspace{\baselineskip} +\includegraphics[bb=0.00 0.00 562.03 124.01,width=10cm]{Fig/bbdata.pdf} + + +\vspace{\baselineskip} +\hypertarget{cindyname}{} +\item[関数] Cindyname() +\item[機能] 作図ä¸ã®ãƒ•ã‚¡ã‚¤ãƒ«åã‚’å–å¾—ã™ã‚‹ã€‚ +\item[説明] ãŸã¨ãˆã°ï¼Œç¾åœ¨ä½œå›³ã—ã¦ã„るファイルå㌠「polygon.cdyã€ã®ã¨ã，"polygon" ã‚’è¿”ã™ã€‚ + +\vspace{\baselineskip} +\hypertarget{crossprod}{} +\item[関数] Crossprod(リスト，リスト) +\item[機能] 2ã¤ã®ãƒ™ã‚¯ãƒˆãƒ«ã®å¤–ç©ã‚’求ã‚る。 +\item[説明] Cindyscriptã®çµ„ã¿è¾¼ã¿é–¢æ•° cross(リスト，リスト)ã¨åŒã˜ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘\verb|Crossprod([1,0,0],[1,1,1]);| + + çµæžœã¯ [0,-1,1]\\ + +\vspace{\baselineskip} +\hypertarget{dotprod}{} +\item[関数] Dotprod(リスト，リスト) +\item[機能] 2ã¤ã®ãƒ™ã‚¯ãƒˆãƒ«ã®å†…ç©ã‚’求ã‚る。 +\item[説明] Cindyscriptã§ã¯ï¼Œç©ã®æ¼”ç®—ã§å†…ç©ãŒæ±‚ã‚られる。 + +\vspace{\baselineskip} + ã€ä¾‹ã€‘\verb|Dotprod([1,2,3],[1,-1,1]);| + + çµæžœã¯ 2 + + [1,2,3]*[1,-1,1] ã§ã‚‚åŒã˜çµæžœã‚’得る。 + +\vspace{\baselineskip} +\hypertarget{findarea}{} +\item[関数] Findarea(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿) +\item[機能] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§å›²ã¾ã‚Œã‚‹éƒ¨åˆ†ã®é¢ç©ã‚’求ã‚る。 +\item[説明] 閉曲線をãªã™ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§å›²ã¾ã‚Œã‚‹éƒ¨åˆ†ã®é¢ç©ã‚’求ã‚る。大島ã®ãƒ™ã‚¸ã‚§å…¬å¼ã‚’用ã„ã¦ã„る。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘楕円ã®é¢ç©ã‚’求ã‚ã¦è¡¨ç¤ºã™ã‚‹ã€‚ +\begin{verbatim} + Paramplot("1","[3*cos(t),2*sin(t)]","t=[0,2*pi]"); + area=Findarea("gp1"); + println(Sprintf(area,6)); +\end{verbatim} + +コンソールã«é¢ç© 18.849536 ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ + +\vspace{\baselineskip} +\hypertarget{findlength}{} +\item[関数] Findlength(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿) +\item[機能] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®æ›²ç·šã®é•·ã•ã‚’求ã‚る。 +\item[説明] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ãŒæã曲線ã®é•·ã•ã‚’求ã‚る。大島ã®ãƒ™ã‚¸ã‚§å…¬å¼ã‚’用ã„ã¦ã„る。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘円周ã®é•·ã•ã‚’求ã‚ã¦è¡¨ç¤ºã™ã‚‹ã€‚ +\begin{verbatim} + Circledata("1",[[0,0],[2,0]]); + len=Findlength("cr1"); + println(Sprintf(len,6)); +\end{verbatim} + +コンソール㫠12.558097 ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} \end{description} \newpage -%=================================== +%==============作表===================== \subsection{作表} \begin{description} \hypertarget{tabledata}{} -\item[関数]　Tabledata(name , 縦横データ, 除外線 , options) -\item[機能]　表ã®æž を作æˆã—，表ã®ãƒ‡ãƒ¼ã‚¿list を返㙠-\item[説明]　Cinderellaã®æç”»é¢ä¸Šã«å·¦ä¸‹ã‚’原点ã¨ã™ã‚‹è¡¨ã‚’作æˆã™ã‚‹ã€‚\\ -　他ã®é–¢æ•°ã¨ã®å¼•æ•°ã®æ•´åˆæ€§ï¼Œ\ketpic ã®ã‚³ãƒžãƒ³ãƒ‰ã¨ã®æ•´åˆæ€§ãªã©ã‹ã‚‰ï¼Œå…ˆé ã«nameã®å¼•æ•°ã‚’ã¤ã‘ã‚‹ãŒï¼Œå®Ÿéš›ã«ã¯ã‚ã¾ã‚Šåˆ©ç”¨ã—ãªã„ã®ã§ï¼Œç©ºæ–‡å—""ã§ã‚‚よã„。\\ -　optionsã¯ç·šç¨®ã¨"notex"ãªã©ï¼ŒãŠã‚ˆã³ "Rng=n"。\\ -　"Rng=n" ã‚’ã¤ã‘ã‚‹ã¨ï¼ŒNE,SWã«ã‚ˆã‚‹å‡ºåŠ›é ˜åŸŸæŒ‡å®šãŒæœ‰åŠ¹ã«ãªã‚‹ã€‚ã¤ã‘ãªã„å ´åˆã¯ï¼Œè¡¨ã®éƒ¨åˆ†ã ã‘ãŒå‡ºåŠ›ã•ã‚Œã‚‹ã€‚\\ -　縦横データã«ã¯ï¼Œæ¬¡ã®ï¼’通りã®æ›¸å¼ãŒã‚る。\\ -　\\ -(1) 横ã®ã‚»ãƒ«æ•° , 縦ã®ã‚»ãƒ«æ•° , 表ã®æ¨ªå¹… , 表ã®ç¸¦å¹…　を指定ã™ã‚‹ã€‚\\ -　例：　\verb|Tabledata("",4,5,80,50,[]);|\\ -(2) 横ã¨ç¸¦ã®å¹…を指定ã—ãŸãƒªã‚¹ãƒˆã‚’使ã†\\ -　例：　\verb|Yoko=[20,20,20,20];|\\ -　　　　\verb|Tate=[10,10,10,10,10];|\\ -　　　　\verb|Tabledata("",Yoko,Tate,[]);|\\ -　上ã®ï¼’ã¤ã®ã‚¹ã‚¯ãƒªãƒ—トã¯åŒã˜è¡¨ã‚’作æˆã™ã‚‹ã€‚å¹…ã¯Cinderellaã®æç”»é¢ã®0.1ã‚’å˜ä½ã¨ã™ã‚‹ã€‚\\ -　作æˆã•ã‚ŒãŸè¡¨ã«ã¯ï¼Œè¡Œï¼Œåˆ—ã®åˆ¶å¾¡ç‚¹ãŒã¤ã。画é¢ä¸Šã§ã¯ï¼Œæ¨ªç½«ç·šã®ç•ªå· r0,r1,・・・　縦罫線ã®ç•ªå· c1,c2,・・・ã¨è¦‹ã‚‹ã“ã¨ã‚‚ã§ãる。ã¾ãŸï¼Œç¸¦å¹…，横幅ãŒæ•°å—ã§ç¤ºã•ã‚Œã‚‹ã€‚ãŸã ã—，ã“れらã¯\TeX ã«ã¯å‡ºåŠ›ã•ã‚Œãªã„。\\ -　ã¾ãŸï¼Œä½œè¡¨ã¯Cinderellaã®æç”»é¢ä¸Šã§ã¯åº§æ¨™å¹³é¢ä¸Šã«ç½®ã‹ã‚Œã‚‹ãŒï¼Œ\TeX ã¸ã®å‡ºåŠ›ã¯åº§æ¨™å¹³é¢ä¸Šã«ã¯ç½®ã‹ãªã„ã“ã¨ãŒå¤šã„ã®ã§ï¼Œåº§æ¨™è»¸ã¯éžè¡¨ç¤ºã¨ã—ã¦ã„る。\\ - -\includegraphics[bb=0 0 807 499 , width=6cm]{Fig/table01.png}　→　 -\input{Fig/table02}\\ - -　表ã®ã‚µã‚¤ã‚ºï¼Œè¡Œå¹…，列幅ã¯ï¼Œä½œæˆå¾Œã«ãã‚Œãžã‚Œã®åˆ¶å¾¡ç‚¹ã‚’ドラッグã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šä»»æ„ã«å¤‰ãˆã‚‹ã“ã¨ãŒã§ãる。\\ - -　除外線ã¯ï¼Œé™¤å¤–ã™ã‚‹ã‚»ãƒ«ã®ç½«ç·šã‚’，rã¨c ã§ä½ç½®æŒ‡å®šã™ã‚‹ã€‚\\ -　　横罫線ã®å ´åˆï¼Œæ¨ªç½«ç·šã®ç•ªå·ï¼Œç¯„囲（ã‹ã‚‰ï¼Œã¾ã§ï¼‰\\ -　　縦罫線ã®å ´åˆï¼Œç¸¦ç½«ç·šã®ç•ªå·ï¼Œç¯„囲（ã‹ã‚‰ï¼Œã¾ã§ï¼‰\\ -ã¨ã™ã‚‹ã€‚\\ - -　例：\verb|Rmv=["r1c0c1","c3r0r1","c3r3r5","r4c2c4"];|\\ -　　　\verb|Tabledata("",4,5,80,50,Rmv);|\\ -　ã§ï¼Œæ¬¡ã®è¡¨ãŒã§ãる。\\ -　\\ -　　　　　\includegraphics[bb=0 0 784 503 , width=6cm]{Fig/table03.png}\\ -　除外ã™ã‚‹ç½«ç·šãŒãªã„å ´åˆã¯ï¼Œç©ºãƒªã‚¹ãƒˆã¨ã™ã‚‹ã€‚\\ - -　例：\verb|Tabledata("",Yoko,Tate,[]);|\\ -\\ -　Tabledata()関数ã¯ï¼Œåˆ¶å¾¡ç‚¹r0,r1,・・・,c0,c1,・・・　ãŒãªã‘ã‚Œã°æ–°ã—ã作り，ã™ã§ã«å˜åœ¨ã™ã‚‹å ´åˆã¯ãã®ã¾ã¾ã¨ã™ã‚‹ã€‚ã—ãŸãŒã£ã¦ï¼Œä¸€åº¦è¡¨ã‚’作æˆã—ãŸã®ã¡ï¼Œè¡Œæ•°ãƒ»åˆ—æ•°ã‚’ä¿®æ£ã—ã¦ä½œã‚Šç›´ã™å ´åˆã¯ï¼Œä¸€åº¦æ—¢å˜ã®ç‚¹ã‚’消去ã™ã‚‹å¿…è¦ãŒã‚る。ãã®ãŸã‚ã«ã¯ï¼Œã€Œã™ã¹ã¦ã®ç‚¹ã‚’é¸æŠžã™ã‚‹ã€ãƒ„ールをクリックã—ã¦ç‚¹ã‚’消去ã™ã‚‹ã®ãŒã‚ˆã„。クリックã™ã‚‹ã¨ï¼Œæ¶ˆåŽ»å¾Œã™ãã«æ–°è¦ä½œæˆã•ã‚Œã‚‹ã€‚(誤ã£ã¦ã€Œã™ã¹ã¦ã®è¦ç´ ã®ã‚’é¸æŠžã™ã‚‹ã€ã‚’é¸ã°ãªã„ã“ã¨)\\ -　他ã®ç‚¹ãŒæç”»ã•ã‚Œã¦ã„ã‚‹å ´åˆã¯ï¼Œè¡¨ã®éƒ¨åˆ†ã ã‘ドラッグã§é¸æŠžã™ã‚‹ã‹ï¼Œè¡¨ç¤ºãƒ¡ãƒ‹ãƒ¥ãƒ¼ã®ã€Œå¼ã«ã‚ˆã‚‹è¡¨ç¤ºã€ã§ä¸€è¦§è¡¨ã‚’出ã—ã¦ï¼Œåˆ¶å¾¡ç‚¹ã‚’é¸æŠžã—ã¦æ¶ˆåŽ»ã™ã‚‹ã€‚\\ -　ãŸã ã—，行数，列数ãŒå¤šã™ãŽãŸå ´åˆã¯ï¼Œå¿…ãšã—も作り直ã™å¿…è¦ã¯ãªã„。Settable() 関数ã«ã‚ˆã‚Šï¼Œå®Ÿéš›ã«æ›¸ã出ã™è¡¨ã®ç¯„囲を指定ã§ãる。\\ +\item[関数] Tabledata(name , 縦横データ, 除外線 , options) +\item[機能] 表ã®æž を作æˆã—，表ã®ãƒ‡ãƒ¼ã‚¿list を返㙠+\item[説明] Cinderellaã®æç”»é¢ä¸Šã«å·¦ä¸‹ã‚’原点ã¨ã™ã‚‹è¡¨ã‚’作æˆã™ã‚‹ã€‚ + +ä»–ã®é–¢æ•°ã¨ã®å¼•æ•°ã®æ•´åˆæ€§ï¼Œ\ketpic ã®ã‚³ãƒžãƒ³ãƒ‰ã¨ã®æ•´åˆæ€§ãªã©ã‹ã‚‰ï¼Œå…ˆé ã«nameã®å¼•æ•°ã‚’ã¤ã‘ã‚‹ãŒï¼Œå®Ÿéš›ã«ã¯ã‚ã¾ã‚Šåˆ©ç”¨ã—ãªã„ã®ã§ï¼Œç©ºæ–‡å—""ã§ã‚‚よã„。 + +除外線ãŒãªã„å ´åˆã¯ç©ºãƒªã‚¹ãƒˆã‚’指定ã™ã‚‹ã€‚ï¼ˆå¿…é ˆï¼‰ + +optionsã¯ç·šç¨®ã¨"notex"ãªã©ï¼ŒãŠã‚ˆã³ "Rng=n"。 + +"Rng=n" ã‚’ã¤ã‘ã‚‹ã¨ï¼ŒNE,SWã«ã‚ˆã‚‹å‡ºåŠ›é ˜åŸŸæŒ‡å®šãŒæœ‰åŠ¹ã«ãªã‚Šï¼ŒNE,SWをドラッグã—ã¦å‡ºåŠ›é ˜åŸŸã‚’変更ã§ãる。（åˆæœŸçŠ¶æ…‹ã¯ï¼Œè¡¨ã®å³ä¸Šã¨å·¦ä¸‹ï¼‰ã¤ã‘ãªã„å ´åˆã¯ï¼Œè¡¨ã®éƒ¨åˆ†ã ã‘ãŒå‡ºåŠ›ã•ã‚Œã‚‹ã€‚ + +縦横データã«ã¯ï¼Œæ¬¡ã®2通りã®æ›¸å¼ãŒã‚る。ã„ãšã‚Œã‚‚åŒã˜è¡¨ã‚’作æˆã™ã‚‹ã€‚ + +\vspace{\baselineskip} +(1) 横ã®ã‚»ãƒ«æ•° , 縦ã®ã‚»ãƒ«æ•° , 表ã®æ¨ªå¹… , 表ã®ç¸¦å¹… を指定ã™ã‚‹ã€‚除外線ãªã—。 + +\begin{verbatim} + Tabledata("",4,5,80,50,[]); +\end{verbatim} + +(2) 横ã¨ç¸¦ã®å¹…を指定ã—ãŸãƒªã‚¹ãƒˆã‚’使ㆠ+\begin{verbatim} + Yoko=[20,20,20,20]; + Tate=[10,10,10,10,10]; + Tabledata("",Yoko,Tate,[]); + \end{verbatim} + +å¹…ã¯Cinderellaã®æç”»é¢ã®0.1ã‚’å˜ä½ã¨ã™ã‚‹ã€‚ + +作æˆã•ã‚ŒãŸè¡¨ã«ã¯ï¼Œè¡Œï¼Œåˆ—ã®åˆ¶å¾¡ç‚¹ãŒã¤ã。画é¢ä¸Šã§ã¯ï¼Œæ¨ªç½«ç·šã®ç•ªå· r0,r1,・・・ 縦罫線ã®ç•ªå· c0,c1,・・・ã¨è¦‹ã‚‹ã“ã¨ã‚‚ã§ãる。ã¾ãŸï¼Œç¸¦å¹…，横幅ãŒæ•°å—ã§ç¤ºã•ã‚Œã‚‹ã€‚ãŸã ã—，ã“れらã¯\TeX ã«ã¯å‡ºåŠ›ã•ã‚Œãªã„。 +ã¾ãŸï¼Œä½œè¡¨ã¯Cinderellaã®æç”»é¢ä¸Šã§ã¯åº§æ¨™å¹³é¢ä¸Šã«ç½®ã‹ã‚Œã‚‹ãŒï¼Œ\TeX ã¸ã®å‡ºåŠ›ã¯åº§æ¨™å¹³é¢ä¸Šã«ã¯ç½®ã‹ãªã„ã“ã¨ãŒå¤šã„ã®ã§ï¼Œåº§æ¨™è»¸ã¯éžè¡¨ç¤ºã¨ã—ã¦ã„る。 + +\hspace{25mm} æç”»é¢ \hspace{45mm} TeX + +\hspace{5mm}\includegraphics[bb=0 0 403.52 249.51 , width=5cm]{Fig/table01.pdf} \hspace{10mm} \input{Fig/table02} + -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + 表ã®ã‚µã‚¤ã‚ºãƒ»è¡Œå¹…・列幅ã¯ï¼Œä½œæˆå¾Œã«ãã‚Œãžã‚Œã®åˆ¶å¾¡ç‚¹ã‚’ドラッグã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šä»»æ„ã«å¤‰ãˆã‚‹ã“ã¨ãŒã§ãる。 +\vspace{\baselineskip} +除外線ã¯ï¼Œé™¤å¤–ã™ã‚‹ã‚»ãƒ«ã®ç½«ç·šã‚’，rã¨c ã§ä½ç½®æŒ‡å®šã™ã‚‹ã€‚ + +\hspace{10mm} 横罫線ã®å ´åˆï¼Œæ¨ªç½«ç·šã®ç•ªå·ï¼Œç¯„囲（ã‹ã‚‰ï¼Œã¾ã§ï¼‰ + +\hspace{10mm} 縦罫線ã®å ´åˆï¼Œç¸¦ç½«ç·šã®ç•ªå·ï¼Œç¯„囲（ã‹ã‚‰ï¼Œã¾ã§ï¼‰ + +ã¨ã™ã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘4ã¤ã®ç½«ç·šã‚’éžè¡¨ç¤ºã«ã™ã‚‹ +\begin{verbatim} + Rmv=["r1c0c1","c3r0r1","c3r3r5","r4c2c4"]; + Tabledata("",4,5,80,50,Rmv); +\end{verbatim} + +ã§ï¼Œæ¬¡ã®è¡¨ãŒã§ãる。 + +\vspace{\baselineskip} +\hspace{20mm} \includegraphics[bb=0 0 392.02 251.51 , width=6cm]{Fig/table03.pdf} + +\vspace{\baselineskip} +＜補足＞ + +Tabledata()関数ã¯ï¼Œåˆ¶å¾¡ç‚¹r0,r1,・・・,c0,c1,・・・ ãŒãªã‘ã‚Œã°æ–°ã—ã作り，ã™ã§ã«å˜åœ¨ã™ã‚‹å ´åˆã¯ãã®ã¾ã¾ã¨ã™ã‚‹ã€‚ã—ãŸãŒã£ã¦ï¼Œä¸€åº¦è¡¨ã‚’作æˆã—ãŸã®ã¡ï¼Œè¡Œæ•°ãƒ»åˆ—æ•°ã‚’ä¿®æ£ã—ã¦ä½œã‚Šç›´ã™å ´åˆã¯ï¼Œä¸€åº¦æ—¢å˜ã®ç‚¹ã‚’消去ã™ã‚‹å¿…è¦ãŒã‚る。ãã®ãŸã‚ã«ã¯ï¼Œã€Œã™ã¹ã¦ã®ç‚¹ã‚’é¸æŠžã™ã‚‹ã€ãƒ„ールをクリックã—ã¦ç‚¹ã‚’消去ã™ã‚‹ã®ãŒã‚ˆã„。クリックã™ã‚‹ã¨ï¼Œæ¶ˆåŽ»å¾Œã™ãã«æ–°è¦ä½œæˆã•ã‚Œã‚‹ã€‚(誤ã£ã¦ã€Œã™ã¹ã¦ã®è¦ç´ ã‚’é¸æŠžã™ã‚‹ã€ã‚’é¸ã°ãªã„ã“ã¨) + +ä»–ã®ç‚¹ãŒæç”»ã•ã‚Œã¦ã„ã‚‹å ´åˆã¯ï¼Œè¡¨ã®éƒ¨åˆ†ã ã‘ドラッグã§é¸æŠžã™ã‚‹ã‹ï¼Œè¡¨ç¤ºãƒ¡ãƒ‹ãƒ¥ãƒ¼ã®ã€Œå¼ã«ã‚ˆã‚‹è¡¨ç¤ºã€ã§ä¸€è¦§è¡¨ã‚’出ã—ã¦ï¼Œåˆ¶å¾¡ç‚¹ã‚’é¸æŠžã—ã¦æ¶ˆåŽ»ã™ã‚‹ã€‚ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\vspace{\baselineskip} \hypertarget{tabledatalight}{} -\item[関数]　Tabledatalight(name , 縦横データ, 除外線 , options) -\item[機能]　幾何点をæŒãŸãªã„表ã®æž を作æˆã—，表ã®ãƒ‡ãƒ¼ã‚¿list を返㙠-\item[説明]　Tabledata()ãŒCinderellaã®å¹¾ä½•ç‚¹ã‚’生æˆã™ã‚‹ã®ã«å¯¾ã—，ã“ã¡ã‚‰ã¯å¹¾ä½•ç‚¹ã‚’生æˆã—ãªã„。\\ -　幾何点を作æˆã—ãªã„メリットã¯ï¼Œã‚¹ã‚¯ãƒªãƒ—トã ã‘ã§ç¸¦æ¨ªå¹…を変更ã§ãã‚‹ã“ã¨ã€‚デメリットã¯ã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ãªå¾®èª¿æ•´ãŒã§ããªã„ã“ã¨ã€‚\\ -　optionã¨ã—ã¦ï¼Œãƒ©ãƒ™ãƒ«ã®ã‚¹ã‚ップ値（スã‚ップã™ã‚‹ã¨ã“ã‚ã¯è¡¨ç¤ºã•ã‚Œãªã„）を指定ã™ã‚‹ã“ã¨ãŒã§ãる。ãŸã ã—，ラベルã¯Cinderellaã®ç”»é¢ä¸Šã ã‘ã®å•é¡Œã€‚\\ -　\\ -　例： \verb|Yoko=[20,20,20,20];|\\ -　　　\verb|Tate=[10,10,10,10,10];|\\ -　　　\verb|Tabledatalight("",Yoko,Tate,[],[2]);|\\ -　ã¨ã™ã‚‹ã¨ï¼Œr1,r3,c1,c2 ãŒéžè¡¨ç¤ºã¨ãªã‚‹ã€‚\\ - - -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -%\hypertarget{tableseg}{} -%\item[関数]　Tableseg( 罫線リスト, 線種) -%\item[機能]　罫線ã®ç·šç¨®ã‚’指定ã™ã‚‹ -%\item[説明]　罫線リストを与ãˆã¦ç·šç¨®ã‚’指定ã™ã‚‹\\ -%　罫線リストã¯ï¼Œ["r1c0c1","r4c2c4"]　ã®ã‚ˆã†ã«ä¸Žãˆã‚‹ã€‚\\ -%ã€€ç ´ç·šãƒ»ç‚¹ç·šã«ã™ã‚‹å ´åˆã¯ï¼ŒTabledata()ã§ã‚らã‹ã˜ã‚除外ã—ã¦ãŠã。\\ - -%　例： \verb|Rmv=["r1c0c1","c3r0r1","c3r3r5","r4c2c4"];|\\ -%　　　\verb|Tabledata("",4,5,80,50,Rmv);|\\ -%　　　\verb|Tableseg(["r1c0c1","r4c2c4"],["da"]);|\\ -% -%　　　　　\input{Fig/tableseg}\\ -% -%　注）R0,C0,・・ã¯å®Ÿéš›ã«ã¯è¡¨ç¤ºã•ã‚Œãªã„\\ -%　\\ +\item[関数] Tabledatalight(name , 縦横データ, 除外線 , options) +\item[機能] 幾何点をæŒãŸãªã„表ã®æž を作æˆã—，表ã®ãƒ‡ãƒ¼ã‚¿list を返㙠+\item[説明] Tabledata()ãŒCinderellaã®å¹¾ä½•ç‚¹ã‚’生æˆã™ã‚‹ã®ã«å¯¾ã—，Tabledatalight()ã¯å¹¾ä½•ç‚¹ã‚’生æˆã—ãªã„。 + +幾何点を作æˆã—ãªã„メリットã¯ï¼Œã‚¹ã‚¯ãƒªãƒ—トã ã‘ã§å…¨ä½“ã®ç¸¦æ¨ªå¹…を変更ã§ãã‚‹ã“ã¨ã€‚デメリットã¯ã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ãªå¾®èª¿æ•´ãŒã§ããªã„ã“ã¨ã€‚ + +optionã¨ã—ã¦ï¼Œãƒ©ãƒ™ãƒ«ã®ã‚¹ã‚ップ値（スã‚ップã™ã‚‹ã¨ã“ã‚ã¯è¡¨ç¤ºã•ã‚Œãªã„）を指定ã™ã‚‹ã“ã¨ãŒã§ãる。ãŸã ã—，ラベルã¯Cinderellaã®ç”»é¢ä¸Šã ã‘ã®å•é¡Œã€‚ + +\vspace{\baselineskip} + ã€ä¾‹ã€‘１ã¤ãŠãã«ã‚¹ã‚ップã—ã¦ï¼Œr1,r3,c1,c2 ã‚’éžè¡¨ç¤ºã¨ã™ã‚‹ã€‚ +\begin{verbatim} + Yoko=[20,20,20,20]; + Tate=[10,10,10,10,10]; + Tabledatalight("",Yoko,Tate,[],[2]); +\end{verbatim} + +\vspace{\baselineskip} \hypertarget{changetablestyle}{} -\item[関数]　ChangeTablestyle(罫線リスト, 変更オプション) -\item[機能]　Table ã®ç½«ç·šã®æ画オプションを変更 -\item[説明]　罫線ã®éƒ¨åˆ†çš„ã«æŒ‡å®šã—ã¦æ画オプションを変更ã§ãる。\\ -　\\ -例：\verb|ChangeTablestyle(["r0c0c3"],["da"]);| \\ -　　ã®å®Ÿè¡Œã«ã‚ˆã‚Šã€r0ã®ä½ç½®ã®æ¨ªç·šãŒc0ã‹ã‚‰c3ã¾ã§ç ´ç·šã«å¤‰ã‚る。\\ -　　\verb|ChangeTablestyle(["c1r0r2"],["da"]);|\\ -　　ã®å®Ÿè¡Œã«ã‚ˆã‚Šã€c1ã®ä½ç½®ã®ç¸¦ç·šãŒr0ã‹ã‚‰r2ã¾ã§ç ´ç·šã«å¤‰ã‚る。\\ -　\\ +\item[関数] ChangeTablestyle(罫線リスト, 変更オプション) +\item[機能] Table ã®ç½«ç·šã®æ画オプションを変更 +\item[説明] 罫線ã®éƒ¨åˆ†çš„ã«æŒ‡å®šã—ã¦æ画オプションを変更ã§ãる。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘ + +\verb|Tabledatalight("",[10,20,10,20],[10,10,10],[]);|\\ +\verb|ChangeTablestyle(["r1c0c4"],["da"]);|\\ +\verb|ChangeTablestyle(["r2c0c2","c1r0r3"],["nodisp"]);| + +\vspace{\baselineskip} +\hspace{20mm}\includegraphics[bb=0.00 0.00 324.00 174.00,width=50mm]{Fig/changetable.pdf} + +\vspace{\baselineskip} \hypertarget{findcell}{} -\item[関数]　Findcell(列番å·, 行番å·) -\item[機能]　セルã®æƒ…å ±list（ä¸å¿ƒï¼Œæ¨ªå¹…ï¼ï¼’，縦幅ï¼ï¼’）を返㙠-\item[説明]　列番å·ï¼Œè¡Œç•ªå·ã¯å·¦ä¸Šã®ã‚»ãƒ«ã‚’１列１行ã¨ã—ã¦æ•°ãˆã‚‹ã€‚　\\ +\item[関数] Findcell(列番å·, 行番å·) +\item[機能] セルã®æƒ…å ±list（ä¸å¿ƒï¼Œæ¨ªå¹…ï¼2，縦幅ï¼2）を返㙠+\item[説明] 列番å·ï¼Œè¡Œç•ªå·ã¯å·¦ä¸Šã®ã‚»ãƒ«ã‚’１列１行ã¨ã—ã¦æ•°ãˆã‚‹ã€‚ -例：\verb|Tabledata(4,5,80,50,[]);|\\ -　　\verb|println(Findcell(tb,2,1));|\\ -　　ã¨ã™ã‚‹ã¨ï¼Œï¼’列１行ã®ã‚»ãƒ«ã®ä¸å¿ƒã®åº§æ¨™ã¨æ¨ªå¹…ã®åŠåˆ†ï¼Œç¸¦å¹…ã®åŠåˆ†ã®å€¤ãŒãƒªã‚¹ãƒˆã¨ã—ã¦ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚çµæžœã¯ [[3,4.5],1,0.5]\\ +\vspace{\baselineskip} +ã€ä¾‹ã€‘\verb|Tabledata(4,5,80,50,[]);| -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + \verb|println(Findcell(tb,2,1));| + + ã¨ã™ã‚‹ã¨ï¼Œ2列１行ã®ã‚»ãƒ«ã®ä¸å¿ƒã®åº§æ¨™ã¨æ¨ªå¹…ã®åŠåˆ†ï¼Œç¸¦å¹…ã®åŠåˆ†ã®å€¤ãŒãƒªã‚¹ãƒˆã¨ã—ã¦ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚çµæžœã¯ [[3,4.5],1,0.5] +\vspace{\baselineskip} \hypertarget{putcell}{} -\item[関数]　Putcell (列番å·, 行番å·, ä½ç½®, æ–‡å—データ) -\item[機能]　セルã«æ–‡å—列を入れる -\item[説明]　複数ã®ã‚»ãƒ«ã«ã¾ãŸãä½ç½®æŒ‡å®šã®å ´åˆï¼Œåˆ—番å·ï¼Œè¡Œç•ªå·ã¯ï¼Œã‚»ãƒ«å·¦ä¸Šã¨å³ä¸‹ã®åˆ¶å¾¡ç‚¹ã®å称ã§æŒ‡å®šã™ã‚‹ã€‚\\ -　ä½ç½®ã¯ã€€c, r, l, t, b （ä¸å¤®center , å³right , å·¦left , 上top , 下bottom ）\\ -　ä½ç½®ã®ä¾‹ã‚’以下ã«ç¤ºã™ã€‚ -\begin{verbatim} -　　Tabledata("",5,2,100,40,["c1r1r2","c4r1r2"]); -　　Putcell(1,1,"c","A"); -　　Putcell(2,1,"r","B"); -　　Putcell(3,1,"l","C"); -　　Putcell(4,1,"t","D"); -　　Putcell(5,1,"b","E"); -　　Putcell(c0r1,c2r2,"c","F"); -　　Putcell(c2r1,c3r2,"lb","G"); -　　Putcell(c3r1,c5r2,"rt","H"); -\end{verbatim} -　\\ -　　　\input{Fig/putcell}\\ -　※R0,C0,・・ã¯å®Ÿéš›ã«ã¯è¡¨ç¤ºã•ã‚Œãªã„\\ - -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\item[関数] Putcell (列番å·, 行番å·, ä½ç½®, æ–‡å—データ) +\item[機能] セルã«æ–‡å—列を入れる +\item[説明] 複数ã®ã‚»ãƒ«ã«ã¾ãŸãä½ç½®æŒ‡å®šã®å ´åˆï¼Œåˆ—番å·ï¼Œè¡Œç•ªå·ã¯ï¼Œã‚»ãƒ«å·¦ä¸Šã¨å³ä¸‹ã®åˆ¶å¾¡ç‚¹ã®å称ã§æŒ‡å®šã™ã‚‹ã€‚ -\hypertarget{putcol}{} -\item[関数]　PutcoL (列番å·, æ–‡å—ä½ç½®ï¼Œæ–‡å—列リスト) -\item[機能]　１列ã«é †ã«æ–‡å—を書ã入れる -\item[説明]　列番å·ã§æŒ‡å®šã—ãŸåˆ—ã«ï¼Œç¬¬ï¼‘è¡Œã‹ã‚‰é †ã«æ–‡å—列リストã®æ–‡å—を書ã入れる\\ -　数ã®å ´åˆã¯ãƒ€ãƒ–ルクウォートã§ããらãªãã¦ã‚‚よã„。\\ -　セルを飛ã°ã™å ´åˆã¯ï¼ŒãƒŒãƒ«æ–‡å—列 "" を書ã。\\ +ä½ç½®ã¯ c, r, l, t, b （ä¸å¤®center , å³right , å·¦left , 上top , 下bottom ） + +ä½ç½®ã®ä¾‹ã‚’以下ã«ç¤ºã™ã€‚ +\begin{verbatim} + Tabledata("",5,2,100,40,["c1r1r2","c4r1r2"]); + Putcell(1,1,"c","A"); + Putcell(2,1,"r","B"); + Putcell(3,1,"l","C"); + Putcell(4,1,"t","D"); + Putcell(5,1,"b","E"); + Putcell("c0r1","c2r2","c","F"); + Putcell("c2r1","c3r2","lb","G"); + Putcell("c3r1","c5r2","rt","H"); +\end{verbatim} +\vspace{\baselineskip} + \begin{center} \input{Fig/putcell} \end{center} + + ※r0,c0,・・ã¯ç”»é¢ã«è¡¨ç¤ºã•ã‚Œã‚‹ç•ªå· +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{\baselineskip} +\hypertarget{putcol}{} +\item[関数] PutcoL (列番å·, æ–‡å—ä½ç½®ï¼Œæ–‡å—列リスト) +\item[機能] １列ã«é †ã«æ–‡å—を書ã入れる +\item[説明] 列番å·ã§æŒ‡å®šã—ãŸåˆ—ã«ï¼Œç¬¬ï¼‘è¡Œã‹ã‚‰é †ã«æ–‡å—列リストã®æ–‡å—を書ã入れる\\ + æ•°ã®å ´åˆã¯ãƒ€ãƒ–ルクウォートã§ããらãªãã¦ã‚‚よã„。 + + セルを飛ã°ã™å ´åˆã¯ï¼ŒãƒŒãƒ«æ–‡å—列 "" を書ã。 + +\vspace{\baselineskip} \hypertarget{putcolexpr}{} -\item[関数]　PutcoLexpr (列番å·, æ–‡å—ä½ç½®ï¼Œæ–‡å—列リスト) -\item[機能]　１列ã«é †ã«æ–‡å—を書ã入れる -\item[説明]　文å—列ã«\TeX 書å¼ã‚’使ã†ã“ã¨ãŒã§ãã‚‹\\ +\item[関数] PutcoLexpr (列番å·, æ–‡å—ä½ç½®ï¼Œæ–‡å—列リスト) +\item[機能] １列ã«é †ã«æ–‡å—を書ã入れる +\item[説明] æ–‡å—列ã«\TeX 書å¼ã‚’使ã†ã“ã¨ãŒã§ãã‚‹ +\vspace{\baselineskip} \hypertarget{putrow}{} -\item[関数]　Putrow (行番å·, æ–‡å—ä½ç½®ï¼Œæ–‡å—列リスト) -\item[機能]　１行ã«é †ã«æ–‡å—を書ã入れる -\item[説明]　行番å·ã§æŒ‡å®šã—ãŸè¡Œã«ï¼Œç¬¬ï¼‘列ã‹ã‚‰é †ã«æ–‡å—列リストã®æ–‡å—を書ã入れる。\\ +\item[関数] Putrow (行番å·, æ–‡å—ä½ç½®ï¼Œæ–‡å—列リスト) +\item[機能] １行ã«é †ã«æ–‡å—を書ã入れる +\item[説明] 行番å·ã§æŒ‡å®šã—ãŸè¡Œã«ï¼Œç¬¬ï¼‘列ã‹ã‚‰é †ã«æ–‡å—列リストã®æ–‡å—を書ã入れる。 +\vspace{\baselineskip} \hypertarget{putrowexpr}{} -\item[関数]　Putrowexpr (行番å·, æ–‡å—ä½ç½®ï¼Œæ–‡å—列リスト) -\item[機能]　１行ã«é †ã«æ–‡å—を書ã入れる -\item[説明]　文å—列ã«\TeX 書å¼ã‚’使ã†ã“ã¨ãŒã§ãã‚‹\\ +\item[関数] Putrowexpr (行番å·, æ–‡å—ä½ç½®ï¼Œæ–‡å—列リスト) +\item[機能] １行ã«é †ã«æ–‡å—を書ã入れる +\item[説明] æ–‡å—列ã«\TeX 書å¼ã‚’使ã†ã“ã¨ãŒã§ãã‚‹ æ–‡å—を入れる例を示ã™ã€‚ \begin{verbatim} -　　Tabledata("",5,3,100,45,["c1r1r2","r1c2c3","r2c2c3"]); -　　PutcoL(3,"c",["A","B","C"]); -　　PutcoLexpr(4,"l",["x^2","y=\sqrt{x^3}"]); -　　Putrow(1,"c",[1,"二"]); -　　Putrowexpr(3,"c",["","\frac{\pi}{2}","","","\sum{x^2}"]); + Tabledata("",5,3,100,45,["c1r1r2","r1c2c3","r2c2c3"]); + PutcoL(3,"c",["A","B","C"]); + PutcoLexpr(4,"l",["x^2","y=\sqrt{x^3}"]); + Putrow(1,"c",[1,"二"]); + Putrowexpr(3,"c",["","\frac{\pi}{2}","","","\sum{x^2}"]); \end{verbatim} + \vspace{\baselineskip} + \begin{center} \input{Fig/putcol} \end{center} -　　　　　\input{Fig/putcol}\\ + ※ r0,c0,・・ã¯ç”»é¢ã«è¡¨ç¤ºã•ã‚Œã‚‹ç•ªå·ã€‚ -　※ R0,C0,・・ã¯å®Ÿéš›ã«ã¯è¡¨ç¤ºã•ã‚Œãªã„\\ -　　ã¾ãŸï¼Œã“ã®ä¾‹ã§ã¯ï¼ŒC4列ã®ç½«ç·šã‚’，制御点C4をドラッグã™ã‚‹ã“ã¨ã«ã‚ˆã‚Š\\ -　　å³ã«ãšã‚‰ã—ã¦ã„る。\\ -\\ +グラフや文を入れãŸè¡¨ã®ä½œæˆä¾‹ -グラフや文を入れãŸè¡¨ã®ä½œæˆä¾‹\\ - -　PutcoLexpr(),Putrowexpr() ã§ã¯ï¼Œæ•°å¼ã ã‘ã§ãªã，一般ã®\TeX ã®æ–‡ã‚’入れるã“ã¨ãŒã§ãる。\\ -　ã¾ãŸï¼Œã‚°ãƒ©ãƒ•ã®ä½ç½®ã‚’é©å½“ã«åˆã‚ã›ã¦æç”»ã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šï¼Œè¡¨ã®ã‚»ãƒ«ã®ä¸ã«ã‚°ãƒ©ãƒ•ã‚’入れるã“ã¨ãŒã§ãる。\\ - -　例：２次関数ã®ã‚°ãƒ©ãƒ•ã¨ï¼’次方程å¼ã®åˆ¤åˆ¥å¼ã®é–¢ä¿‚\\ -　　セルã®ä¸ã«ã‚°ãƒ©ãƒ•ã‚’æã例。実際ã«ã¯ï¼Œã‚»ãƒ«ã®ä½ç½®ã«ã‚°ãƒ©ãƒ•ã‚’æã„ã¦ã„ã‚‹ã ã‘。 -\begin{verbatim} -　　Tabledata("",3,3,120,90,["r1c0c3","r2c0c3"],["dr,2"]); -　　ChangeTablestyle(["r1c0c3"],["dr"]); -　　ChangeTablestyle(["r2c0c3"],["da"]); -　　Plotdata("1","(x-2)^2+1.5","x=[0.5,3.5]"); -　　Plotdata("2","(x-6)^2+2","x=[4.5,7.5]"); -　　Plotdata("3","(x-10)^2+2.5","x=[8.5,11.5]"); -　　Listplot([A,B]); -　　Listplot([C,D]); -　　Listplot([E,F]); -　　Putrowexpr(1,"c",["D>0","D=0","D<0"]); -　　Putrow(2,"c",["2点ã§äº¤ã‚ã‚‹","接ã™ã‚‹","共有点ãªã—"]); -　　Letter(G,"c","判別å¼ã¨$x$軸ã®äº¤ç‚¹"); -\end{verbatim} -　\\ -　　　　　　　\input{Fig/tablesample1}\\ -\\ -注æ„：ã“ã®ä¾‹ã‚’実行ã™ã‚‹ã¨ã‚ã‹ã‚‹ãŒï¼Œã‚»ãƒ«ã®ã‚µã‚¤ã‚ºã¨æ–‡å—サイズã®é–¢ä¿‚ãªã©ã«ã‚ˆã‚Šï¼ŒCinderellaã®ç”»é¢ä¸Šã¨\TeX ã¸ã®æ›¸ã出ã—ã¯å¿…ãšã—ã‚‚åŒä¸€ã«ã¯ãªã‚‰ãªã„。\\ -　\\ -例：増減表ã¨ã‚°ãƒ©ãƒ•\\ - -　関数ã®å¢—減表ã¨ã‚°ãƒ©ãƒ•ã‚’１ã¤ã®è¡¨ã®ä¸ã«å…¥ã‚ŒãŸä¾‹ã€‚ -\begin{verbatim} -　　Tate=[6,6,10,6,10,6,40]; -　　Yoko=[30,6,6,6]; -　　Rmv=["c1r0r1","c2r0r1","c3r0r1","c4r0r1","c5r0r1", "r1c6c7","r2c6c7","r3c6c7"]; -　　Tabledata("",Tate,Yoko,Rmv,["dr"]); -　　Tlistplot("23d",["c1r2","c2r3"]); -　　Tlistplot("23u",["c1r3","c2r2"]); -　　Putrowexpr(2,"c",["x",0,"\cdots","\tfrac{1}{4}","\cdots",4]); -　　Putrowexpr(3,"c",["y`","","-",0,"+"]); -　　Putrowexpr(4,"c",["y",0,"\searrow","-\tfrac{1}{4}","\nearrow",2]); -　　Putcell(1,1,"l2t2","{\small\begin{minipage}{44mm}$y=x-\sqrt{x}$\\$y`= -　　\dfrac{2\sqrt{x}-1}{2\sqrt{x}}=0$|より\vspace{1mm}\\\hspace*{2zw}$x= -　　\dfrac{1}{4}$\vspace{1mm}\\増減表ã¯æ¬¡ã®ã‚ˆã†ã«ãªã‚‹\end{minipage}}" ); -　　Plotdata("1","x-sqrt(x)","x=[0,3]",["do","notex"]); -　　Listplot("2",[[0,0],[3,0]],["do","notex"]); -　　Listplot("3",[[0,-0.5],[0,3]],["do","notex"]); -　　Translatedata("1","gr1",[4.9,1],["dr"]); -　　Translatedata("2","sg2",[4.9,1],["dr"]); -　　Translatedata("3","sg3",[4.9,1],["dr"]); -　　Letter(Ptend(tr2),"e1","\small{$x$}"); -　　Letter(Ptend(tr3),"n1","\small{$y$}"); -　　Letter(Ptstart(tr2),"w1","\small O"); -　　Expr(Ptend(tr1),"nw-2","y=x-\sqrt{x}"); -\end{verbatim} -　　　　　　　\input{Fig/tablesample2} -　\\ - -　例：凹凸をå«ã‚ãŸå¢—減表 -\begin{verbatim} -　　Tabledata("",8,4,80,40,[]); -　　Putrowexpr(1,c,["x","\cdots","-1","\cdots","0","\cdots","1","\cdots"]); -　　Putrowexpr(2,c,["y`","+","+","+","0","-","-","-"]); -　　Putrowexpr(3,c,["y``","+","0","-","-","-","0","+"]); -　　Putrowexpr(4,c,["y","\nelarrow","\frac{1}{\sqrt{e}}","\nerarrow", -　　　　"1","\serarrow","\frac{1}{\sqrt{e}}","\selarrow"]); -\end{verbatim} -　　　\input{Fig/zogen3}\\ -　\\ -　ã“ã“ã§ï¼Œå‡¹å‡¸ã‚’示ã™çŸ¢å°ã¯ï¼Œketpic.sty ã§å®šç¾©ã•ã‚Œã¦ã„ã‚‹ã‚‚ã®ã§ã‚る。 - -　　nelarrow,nerarrow,selarrow,serarrow,NELarrow,NERarrow,SELarrow,SERrarrow ãŒã‚る。\\ - -　先é ã® ne,se ã§åŒ—æ±ãƒ»å—æ±ï¼ˆå³ä¸Šãƒ»å³ä¸‹ï¼‰æ¬¡ã® r,l ã¯å›žè»¢ã®å‘ã（r：right：å時計回り，l：left：時計回り）ã®çŸ¢å°(arrow)ã¨è¦šãˆã‚‹ã¨ã‚ˆã„。 - -　直線系ã®çŸ¢å°ã¯\\ -　 　NEarrow,SEarrrow\\ -　少ã—ãšã¤é•ã†ã®ã§è©¦ã•ã‚ŒãŸã„。 - -　ãªãŠï¼Œã“れらã®çŸ¢å°ã¯CindyTeXã«ã¯ãªã„ã®ã§ï¼ŒCinderellaã®æç”»é¢ã«ã¯è¡¨ç¤ºã•ã‚Œãªã„。 -　\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{settable}{} -\item[関数]　Settable((左上) , å³ä¸‹) -\item[機能]　表データを書ã出㙠-\item[説明]　指定ã•ã‚ŒãŸç¯„囲ã§è¡¨ã®æž 線を書ã出ã™ã€‚指定ã—ãªã‘ã‚Œã°å…¨ä½“ãŒæ›¸ã出ã•ã‚Œã‚‹ã€‚\\ -　表ã®å‡ºåŠ›ç¯„囲ã¯ï¼ŒNE,SWã«ã‚ˆã‚‹æ画範囲ã«ã‹ã‹ã‚‰ã‚ãšï¼Œå…¨ä½“ã‚‚ã—ãã¯Settable()ã§æŒ‡å®šã—ãŸç¯„囲ã¨ãªã‚‹ã€‚\\ -　ä½ç½®ã¯ï¼Œåˆ¶å¾¡ç‚¹ã«ã‚ˆã‚‹ä½ç½®è¡¨ç¤ºã§ï¼Œc2r3 ã®ã‚ˆã†ã«æŒ‡å®šã™ã‚‹ã€‚\\ -　c,rã¯å°æ–‡å—㧠c,r ã®é †ã€‚\\ -　左上をçœç•¥ã™ã‚‹ã¨ï¼Œãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã® c0r0 ã¨è§£é‡ˆã•ã‚Œã‚‹ã€‚\\ - -例：\verb|Tabledata("",4,5,80,50,[]);|\\ -　　\verb|repeat(5,s, Putrow(s,"c",[s*4-3,s*4-2,s*4-1,s*4]));|\\ -　　\verb|Settable(c4r5);|\\ - -　２行目ã§å„セルã«æ•°å—を入れã¦ã„る。\\ -　左上ã¨å³ä¸‹ï¼ˆç½«ç·šC4ã¨R5ã®äº¤ç‚¹ï¼‰ã‚’対角ã¨ã™ã‚‹ç¯„囲，ã™ãªã‚ã¡å…¨ä½“を書ã出ã™ã€‚\\ -　　\verb|Settable(c3r4);|\\ -　ã¨ã™ã‚‹ã¨ï¼Œå·¦ä¸Šã¨å³ä¸‹ï¼ˆç½«ç·šC3ã¨R4ã®äº¤ç‚¹ï¼‰ã‚’対角ã¨ã™ã‚‹ç¯„囲。\\ -　出力ã™ã‚‹ã®ã¯ç½«ç·šã ã‘ãªã®ã§ï¼Œã‚»ãƒ«ã®ä¸èº«ã¯ãã®ã¾ã¾è¡¨ç¤ºã•ã‚Œã‚‹ã€‚（下図左）\\ -　　\verb|Settable(c1r1,c3r4);|\\ -　ã¨ã™ã‚‹ã¨ï¼Œå·¦ä¸Šï¼ˆç½«ç·šC1ã¨R1ã®äº¤ç‚¹ï¼‰ã¨å³ä¸‹ï¼ˆç½«ç·šC3ã¨R4ã®äº¤ç‚¹ï¼‰ã‚’対角ã¨ã™ã‚‹ç¯„囲。\\ -　罫線ã ã‘ãªã®ã§ï¼Œã‚»ãƒ«ã®ä¸èº«ã¯ãã®ã¾ã¾è¡¨ç¤ºã•ã‚Œã‚‹ã€‚（下図å³ï¼‰\\ -\\ -　　\input{Fig/settable1}　　　　　　　　\input{Fig/settable2}\\ -　\\ -　\\ + PutcoLexpr(),Putrowexpr() ã§ã¯ï¼Œæ•°å¼ã ã‘ã§ãªã，一般ã®\TeX ã®æ–‡ã‚’入れるã“ã¨ãŒã§ãる。 + ã¾ãŸï¼Œã‚°ãƒ©ãƒ•ã®ä½ç½®ã‚’é©å½“ã«åˆã‚ã›ã¦æç”»ã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šï¼Œè¡¨ã®ã‚»ãƒ«ã®ä¸ã«ã‚°ãƒ©ãƒ•ã‚’入れるã“ã¨ãŒã§ãる。 + +\vspace{\baselineskip} + ã€ä¾‹ã€‘2次関数ã®ã‚°ãƒ©ãƒ•ã¨2次方程å¼ã®åˆ¤åˆ¥å¼ã®é–¢ä¿‚ + +セルã®ä¸ã«ã‚°ãƒ©ãƒ•ã‚’æã例。実際ã«ã¯ï¼Œã‚»ãƒ«ã®ä½ç½®ã«ã‚°ãƒ©ãƒ•ã‚’æã。 + +x軸をæããŸã‚ã®ç‚¹A〜Fã¯ä½œå›³ãƒ„ールã§ã¨ã£ã¦ãŠã。 + +スクリプトを実行ã—ã¦è¡¨ãŒã§ããŸã‚‰ï¼Œåˆ¶å¾¡ç‚¹ã‚’ドラッグã—ã¦ã‚µã‚¤ã‚ºã‚’調整ã—，点A〜Ｆもドラッグã—ã¦è»¸ã¨æ”¾ç‰©ç·šã®å…±æœ‰çŠ¶æ³ã‚’示ã™ã‚ˆã†ã«ã™ã‚‹ã€‚ + +\vspace{\baselineskip} +\begin{verbatim} + Tabledata("",3,3,120,60,[],["dr,2"]); + ChangeTablestyle(["r1c0c3"],["dr"]); + ChangeTablestyle(["r2c0c3"],["da"]); + Plotdata("1","(x-2)^2+0.5","x=[0.5,3.5]"); + Plotdata("2","(x-6)^2+1","x=[4.5,7.5]"); + Plotdata("3","(x-10)^2+1.5","x=[8.5,11.5]"); + Listplot([A,B]); + Listplot([C,D]); + Listplot([E,F]); + Putrowexpr(1,"c",["D>0","D=0","D<0"]); + Putrow(2,"c",["2点ã§äº¤ã‚ã‚‹","接ã™ã‚‹","共有点ãªã—"]); +\end{verbatim} + +\vspace{\baselineskip} + \begin{center}\scalebox{0.9}{ \input{Fig/tablesample1}} \end{center} + + +\vspace{\baselineskip} +ã€ä¾‹ã€‘増減表ã¨ã‚°ãƒ©ãƒ• + + 関数ã®å¢—減表ã¨ã‚°ãƒ©ãƒ•ã‚’１ã¤ã®è¡¨ã®ä¸ã«å…¥ã‚ŒãŸä¾‹ã€‚ +\begin{verbatim} + Tate=[6,6,10,6,10,6,40]; + Yoko=[30,6,6,6]; + Rmv=["c1r0r1","c2r0r1","c3r0r1","c4r0r1","c5r0r1", "r1c6c7", + "r2c6c7","r3c6c7"]; + Tabledata("",Tate,Yoko,Rmv,["dr"]) + Tlistplot("23d",["c1r2","c2r3"]); + Tlistplot("23u",["c1r3","c2r2"]); + Putrowexpr(2,"c",["x",0,"\cdots","\tfrac{1}{4}","\cdots",4]); + Putrowexpr(3,"c",["y`","","-",0,"+"]); + Putrowexpr(4,"c",["y",0,"\searrow","-\tfrac{1}{4}","\nearrow",2]); + Putcell(1,1,"l2t2","{\small\begin{minipage}{44mm}$y=x-\sqrt{x}$\\$y`= + \dfrac{2\sqrt{x}-1}{2\sqrt{x}}=0$|より\vspace{1mm}\\\hspace*{2zw}$x= + \dfrac{1}{4}$\vspace{1mm}\\増減表ã¯æ¬¡ã®ã‚ˆã†ã«ãªã‚‹\end{minipage}}" ); + Plotdata("1","x-sqrt(x)","x=[0,3]",["do","notex"]); + Listplot("2",[[0,0],[3,0]],["do","notex"]); + Listplot("3",[[0,-0.5],[0,3]],["do","notex"]); + Translatedata("1","gr1",[4.9,1],["dr"]); + Translatedata("2","sg2",[4.9,1],["dr"]); + Translatedata("3","sg3",[4.9,1],["dr"]); + Letter(Ptend(tr2),"e1","\small{$x$}"); + Letter(Ptend(tr3),"n1","\small{$y$}"); + Letter(Ptstart(tr2),"w1","\small O"); + Expr(Ptend(tr1),"nw-2","y=x-\sqrt{x}"); +\end{verbatim} +\begin{center} \input{Fig/tablesample2} \end{center} + +\vspace{\baselineskip} + ã€ä¾‹ã€‘凹凸をå«ã‚ãŸå¢—減表 +\begin{verbatim} + Tabledata("",8,4,80,40,[]); + Putrowexpr(1,c,["x","\cdots","-1","\cdots","0","\cdots","1","\cdots"]); + Putrowexpr(2,c,["y`","+","+","+","0","-","-","-"]); + Putrowexpr(3,c,["y``","+","0","-","-","-","0","+"]); + Putrowexpr(4,c,["y","\nelarrow","\frac{1}{\sqrt{e}}","\nerarrow", + "1","\serarrow","\frac{1}{\sqrt{e}}","\selarrow"]); +\end{verbatim} +\begin{center} \input{Fig/zogen3} \end{center} +%\vspace{\baselineskip} +ã“ã“ã§ï¼Œå‡¹å‡¸ã‚’示ã™çŸ¢å°ã¯ï¼Œketpic.sty ã§å®šç¾©ã•ã‚Œã¦ã„ã‚‹ã‚‚ã®ã§ã‚る。 + +nelarrow,nerarrow,selarrow,serarrow,NELarrow,NERarrow,SELarrow,SERrarrow ãŒã‚る。先é ã® ne,se ã§åŒ—æ±ãƒ»å—æ±ï¼ˆå³ä¸Šãƒ»å³ä¸‹ï¼‰æ¬¡ã® r,l ã¯å›žè»¢ã®å‘ã（r：right：å時計回り，l：left：時計回り）ã®çŸ¢å°(arrow)ã¨è¦šãˆã‚‹ã¨ã‚ˆã„。直線系ã®çŸ¢å°ã¯ NEarrow,SEarrrow。 å°‘ã—ãšã¤é•ã†ã®ã§è©¦ã•ã‚ŒãŸã„。 + +ãªãŠï¼Œã“れらã®çŸ¢å°ã¯CindyTeXã«ã¯ãªã„ã®ã§ï¼ŒCinderellaã®æç”»é¢ã«ã¯è¡¨ç¤ºã•ã‚Œãªã„。 + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\vspace{\baselineskip} \hypertarget{tgrid}{} -\item[関数]　Tgrid(セルラベル) -\item[機能]　表ã®ã‚»ãƒ«ã®åº§æ¨™ã‚’返㙠-\item[説明]　指定ã•ã‚ŒãŸã‚»ãƒ«ã®å·¦ä¸Šã®åº§æ¨™ã‚’è¿”ã™ã€‚実際ã«ã¯ï¼Œã‚»ãƒ«ãƒ©ãƒ™ãƒ«ã¯ç½«ç·šã‚’示ã—ã¦ã„ã‚‹ã®ã§ï¼ŒæŒ‡å®šã—ãŸç½«ç·šã®äº¤ç‚¹ï¼ˆæ ¼å点）ã¨ã„ã†ã“ã¨ã‚‚ã§ãる。\\ -　\\ +\item[関数] Tgrid(セルラベル) +\item[機能] 表ã®ã‚»ãƒ«ã®åº§æ¨™ã‚’返㙠+\item[説明] 指定ã•ã‚ŒãŸã‚»ãƒ«ã®å·¦ä¸Šã®åº§æ¨™ã‚’è¿”ã™ã€‚実際ã«ã¯ï¼Œã‚»ãƒ«ãƒ©ãƒ™ãƒ«ã¯ç½«ç·šã‚’示ã—ã¦ã„ã‚‹ã®ã§ï¼ŒæŒ‡å®šã—ãŸç½«ç·šã®äº¤ç‚¹ï¼ˆæ ¼å点）ã¨ã„ã†ã“ã¨ã‚‚ã§ãる。 + +\vspace{\baselineskip} \hypertarget{tlistplot}{} -\item[関数]　Tlistplot(セルラベル1,セルラベル2) -\item[機能]　指定ã•ã‚ŒãŸï¼’ã¤ã®æ ¼å点を線分ã§çµã¶ -\item[説明]　セルã«æ–œç·šã‚’引ãã®ã«ç”¨ã„る。\\ -　　例：\verb|Tlistplot(["c0r1","c1r2"]);| -　\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\item[関数] Tlistplot(セルラベル1,セルラベル2) +\item[機能] 指定ã•ã‚ŒãŸ2ã¤ã®æ ¼å点を線分ã§çµã¶ +\item[説明] セルã«æ–œç·šã‚’引ãã®ã«ç”¨ã„る。 -\end{description} +\vspace{\baselineskip} +ã€ä¾‹ã€‘\verb|Tlistplot(["c0r1","c1r2"]);| + +\vspace{\baselineskip} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage +\end{description} -%=================================== -\subsection{値ã®å–å¾—ã¨å…¥å‡ºåŠ›} +%=================================================== +\subsection{ãã®ä»–} -　計算値やプãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å€¤ã‚’å–å¾—ã—ãŸã‚Šï¼ŒScilab用ã¨ã®ãƒ‡ãƒ¼ã‚¿ã®ã‚„ã‚Šã¨ã‚Šã‚’ã™ã‚‹ã€‚\\ \begin{description} -\hypertarget{crossprod}{} -\item[関数]　Crossprod(リスト，リスト) -\item[機能]　２ã¤ã®ãƒ™ã‚¯ãƒˆãƒ«ã®å¤–ç©ã‚’求ã‚る。 -\item[説明]　Cindyscriptã®çµ„ã¿è¾¼ã¿é–¢æ•° cross(リスト，リスト)ã¨åŒã˜ã€‚\\ -　例：\verb|Crossprod([1,0,0],[1,1,1]);|\\ -　　　çµæžœã¯ã€€[0,-1,1]\\ +%\vspace{\baselineskip} +%\hypertarget{makeshell}{} +%\item[関数] Makeshell(ファイルå) / Makebat(ファイルå) +%\item[機能] Macã®å ´åˆã¯ã‚·ã‚§ãƒ«ãƒ•ã‚¡ã‚¤ãƒ«ï¼ŒWindowsã®å ´åˆã¯ãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ«ã‚’書ã出ã™ã€‚ +%\item[説明] 書ã出ã•ã‚Œã‚‹ãƒ•ã‚¡ã‚¤ãƒ«ã«ã¤ã„ã¦ã¯ï¼Œfigã„ã£ãŸã‚“フォルダを空ã«ã—ã¦ã‹ã‚‰ç¢ºã‹ã‚られãŸã„。 -\hypertarget{dotprod}{} -\item[関数]　Dotprod(リスト，リスト) -\item[機能]　２ã¤ã®ãƒ™ã‚¯ãƒˆãƒ«ã®å†…ç©ã‚’求ã‚る。 -\item[説明]　Cindyscriptã§ã¯ï¼Œç©ã®æ¼”ç®—ã§å†…ç©ãŒæ±‚ã‚られる。\\ -　例：\verb|Dotprod([1,2,3],[1,-1,1]);|\\ -　　　çµæžœã¯ã€€ï¼’\\ -　　　[1,2,3]*[1,-1,1] ã§ã‚‚åŒã˜çµæžœã‚’得る。\\ +\hypertarget{assign}{} +\item[関数] Assign(æ–‡å—列，文å—，文å—） +\item[機能] æ–‡å—列ã®ä¸ã®ã‚ã‚‹æ–‡å—ã‚’ä»–ã®æ–‡å—ã§ç½®ãæ›ãˆã‚‹ +\item[説明] 第１引数ã®æ–‡å—列ä¸ã®ç¬¬2引数ã®æ–‡å—を，第3引数ã®æ–‡å—ã§ç½®ãæ›ãˆã‚‹ã€‚ -\hypertarget{findarea}{} -\item[関数]　Findarea(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿) -\item[機能]　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§å›²ã¾ã‚Œã‚‹éƒ¨åˆ†ã®é¢ç©ã‚’求ã‚る。 -\item[説明]　閉曲線をãªã™ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§å›²ã¾ã‚Œã‚‹éƒ¨åˆ†ã®é¢ç©ã‚’求ã‚る。\\ -例：ベジェ曲線ã§å›²ã¾ã‚ŒãŸéƒ¨åˆ†ã®é¢ç©ã‚’求ã‚ã¦è¡¨ç¤ºã™ã‚‹ã€‚\\ -　　\verb|Bezier("1",[A,B,C],[[D],[E,F]]);|\\ -　　\verb|drawtext([2,1],Findarea("bz1"));|\\ +第3引数ãŒæ•°å€¤ã®å ´åˆï¼Œæ–‡å—列ã«å¤‰æ›ã•ã‚Œã‚‹ã€‚ -\hypertarget{findlength}{} -\item[関数]　Findlength(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿) -\item[機能]　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®æ›²ç·šã®é•·ã•ã‚’求ã‚る。 -\item[説明]　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ãŒæã曲線ã®é•·ã•ã‚’求ã‚る。\\ -例：ベジェ曲線ã§æã„ãŸæ›²ç·šã®é•·ã•ã‚’求ã‚ã¦è¡¨ç¤ºã™ã‚‹ã€‚\\ -　　\verb|Bezier("1",[A,B,C],[[D],[E,F]]);|\\ -　　\verb|drawtext([2,1],Findlength("bz1"));|\\ +第2引数ã¨ï¼Œç¬¬3引数をリストã«ã—ã¦ï¼Œè¤‡æ•°ã®ç½®ãæ›ãˆã‚’ã™ã‚‹ã“ã¨ãŒã§ãる。 +\vspace{\baselineskip} + ã€ä¾‹ã€‘\verb|a*x| ã‚’\verb|1.3*x| ã¨ã—ãŸæ–‡å—列を返ã™ã€‚次ã®ã„ãšã‚Œã‚‚åŒã˜çµæžœã«ãªã‚‹ã€‚ +\begin{verbatim} + Assign("x^2+a*x","a","1.3"); + Assign("x^2+a*x","a",1.3); +\end{verbatim} -\hypertarget{intersectcrvs}{} -\item[関数]　Intersectcrvs(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿1, プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿2, optionss) -\item[機能]　2曲線ã®äº¤ç‚¹ãƒªã‚¹ãƒˆã‚’å–å¾—ã™ã‚‹ã€‚ -\item[説明]　オプションã¯å…±æœ‰ç‚¹ãŒã‚ã‚‹ã‹ã©ã†ã‹ã‚’判æ–ã™ã‚‹ãŸã‚ã®é™ç•Œå€¤\\ -ãŸã ã—，オプションã¯é€šå¸¸ã¯ä½¿ã‚ãªã„ã®ã§æ°—ã«ã—ãªãã¦ã‚ˆã„。\\ -　\\ -例：円ã¨æ›²ç·šã®äº¤ç‚¹ã‚’P,Qã¨ã™ã‚‹ã€‚ -\begin{verbatim} -　　　Plotdata("1", "sin(x)", "x", ["Num=100"]); -　　　Circledata([A, B]); -　　　tmp=Intersectcrvs(gr1, crAB); -　　　P.xy=tmp_1; -　　　Q.xy=tmp_2; - \end{verbatim} - -　リスト内ã«2交点ã®ãƒ‡ãƒ¼ã‚¿ãŒ tmpï¼[ [ $-0.37$, $-0.36$ ], [ 2.13, 0.85 ] ] ã®ã‚ˆã†ã«å…¥ã£ã¦ã„る。交点ã®é †åºã¯ PD1, PD2 ã®é †åºã¨æ›²ç·šã®å‘ãã«ã‚ˆã£ã¦æ±ºã¾ã‚‹ã€‚曲線ã®å‘ãã¯ï¼Œ$y=f(x)$ã®ã‚°ãƒ©ãƒ•ã§ã¯x座標ãŒå¢—åŠ ã™ã‚‹å‘ãã§ï¼Œãƒ‘ラメーター表示曲線ã§ã¯ãƒ‘ラメータã®å¢—åŠ ã™ã‚‹å‘ã。ã¾ãŸï¼ŒPD1 上ã‹ã‚‰æŽ¢ã—始ã‚㦠PD2 ã¨ã®äº¤ç‚¹ã‚’拾ã£ã¦ã‚†ã。\\ -　交点ãŒã²ã¨ã¤ã®å ´åˆã‚‚ tmpï¼[ [ 2.45, 0.63 ] ] ã¨2é‡ã®ãƒªã‚¹ãƒˆã«å…¥ã£ã¦ã„ã‚‹ã®ã§ï¼Œç‚¹ã¨ã—ã¦å–出ã™ã«ã¯ P=tmp\verb|_|1; ã¨ã™ã‚‹ã€‚\\ -\begin{center} -\input{Fig/Intersectcrvs1}\\ -\end{center} +\vspace{\baselineskip} + ã€ä¾‹ã€‘ç›´ç·š $y=bx-b^2$ ã®ä¿‚æ•°$b$を変化ã•ã›ã¦æã，包絡線をã†ã‹ã³ã‚ãŒã‚‰ã›ã‚‹ã€‚ +\begin{verbatim} + repeat(50,t, + cb=t/5-5; + Plotdata(text(t),Assign("b*x-b^2","b",cb),"x"); + ); +\end{verbatim} +%\vspace{\baselineskip} +\begin{center} \input{Fig/assign} \end{center} +\vspace{\baselineskip} + ã€ä¾‹ã€‘æ–‡å—ã§è¡¨ã•ã‚ŒãŸ $x$ 㨠$y$ ã®ä¿‚æ•°ã‚’ã¾ã¨ã‚ã¦æ•°å€¤ã§ç½®ãæ›ãˆã‚‹ã€‚ +\begin{verbatim} + Assign("a*x^2+b*x",["a",1,"b",2]); +\end{verbatim} -\hypertarget{invert}{} -\item[関数]　Invert(PD) -\item[機能]　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ç‚¹ã‚’é€†é †ã«ã™ã‚‹ï¼ˆreverseã¨åŒã˜ï¼‰ -\\ +%\vspace{\baselineskip} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\hypertarget{meetcurve}{} -\item[関数]　MeetCurve(曲線,x0, y0) -\item[機能]　曲線上ã®ç‚¹ã‚’è¿”ã™ã€‚ -\item[説明]　x座標ãŒx0ã§ï¼Œç‚¹(x0, y0)ã«è¿‘ã„曲線上ã®ç‚¹ã‚’è¿”ã™ã€‚\\ -注）x0, y0 ã¯æ–‡å—列ã§ã‚‚よã„。\\ -\hypertarget{lcrd}{} -\item[関数]　Lcrd() -\item[機能]　幾何点，リスト点ã®è«–ç†åº§æ¨™ã‚’å–å¾—ã™ã‚‹ã€‚ -\\ +% =========== commented to com2th() ========== +\begin{comment} -\hypertarget{pcrd}{} -\item[関数]　Pcrd() -\item[機能]　幾何点，リスト点ã®ç‰©ç†ï¼ˆè¡¨ç¤ºï¼‰åº§æ¨™ã‚’å–å¾—ã™ã‚‹ã€‚ -\\ +\vspace{\baselineskip} +\hypertarget{com0th}{} +\item[関数] Com0th(æ–‡å—列） +\item[機能] Rã®Openfileã®å‰ã«ç½®ãコマンド（文å—列）を定義ã™ã‚‹ã€‚ +\item[説明] ã€ä¾‹ã€‘\verb|Com0th("Setax('a')");| +Openfileã®å‰ã®éƒ¨åˆ†ã®å…ˆé ã«æ›¸ã出ã™ã€‚ã“ã‚Œã«ã‚ˆã‚Šï¼Œ \ketcindy ã§ã‚µãƒãƒ¼ãƒˆã•ã‚Œã¦ã„ãªã„R版\ketpic ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’利用ã™ã‚‹ã“ã¨ãŒã§ãる。 + +\vspace{\baselineskip} +\hypertarget{com1st}{} +\item[関数] Com1st(æ–‡å—列） +\item[機能] Rã®Openfileã®å‰ã«ç½®ãコマンド（文å—列）を定義ã™ã‚‹ã€‚ +\item[説明] ã€ä¾‹ã€‘\verb|Com1st("Setax('a')");|\\ + ã“ã‚Œã«ã‚ˆã‚Šï¼Œ \ketcindy ã§ã‚µãƒãƒ¼ãƒˆã•ã‚Œã¦ã„ãªã„R版\ketpic ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’利用ã™ã‚‹ã“ã¨ãŒã§ãる。 -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\hypertarget{nearestpt}{} -\item[関数]　Nearestpt(PD1，PD2) -\item[機能]　２曲線ã«å¯¾ã—，最も近ã„点ã¨ãã®ãƒ‘ラメータ，è·é›¢ã®ãƒªã‚¹ãƒˆã‚’返㙠-\item[説明]　戻り値ã¯ï¼Œãã‚Œãžã‚Œã®æ›²ç·šä¸Šã®ç‚¹ã®åº§æ¨™ã¨ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ä¸ã®ä½ç½®ï¼Œãã®è·é›¢ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆã€‚\\ -例：２ã¤ã®æ”¾ç‰©ç·šä¸Šã®ç‚¹ã®æœ€çŸè·é›¢ã¨ãã®ä½ç½®ã‚’求ã‚る。点A,Bを作図ツールã§ã¨ã£ã¦ãŠã。 -\begin{verbatim} -　　Plotdata("1", "x^2+2", "x=[-2,2]"); -　　Plotdata("2", "-(x-2)^2","x=[0,3]"); -　　plist=Nearestpt("gr2","gr1"); -　　B.xy=plist_1; -　　A.xy=plist_3; -　　Listplot([A,B],["do"]); -　　Ptsize(4); -　　Drwpt([A,B]); -　　Letter([A,"nw","A",B,"n2e","B",(A+B)/2,"e",text(plist_5)]); -\end{verbatim} -　　　　　　\input{Fig/Nearestpt}\\ -\\ -ã“ã“㧠plistã«ä»£å…¥ã•ã‚ŒãŸãƒªã‚¹ãƒˆã¯æ¬¡ã®å½¢ã§ã‚る。５番目ã®è¦ç´ ãŒï¼’点間ã®è·é›¢ï¼Œã™ãªã‚ã¡æœ€çŸè·é›¢ã€‚\\ -　　[[1.68,-0.1],29,[0.32,2.1],30,2.59] \\ -　\\ -\hypertarget{nearestptcrv}{} -\item[関数]　Nearestptcrv(座標, プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿) -\item[機能]　第１引数ã®åº§æ¨™ã«æœ€ã‚‚è¿‘ã„曲線プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ä¸Šã®ç‚¹åº§æ¨™ã‚’返㙠-\item[説明]　次ã«ä¾‹ç¤ºã™ã‚‹ã€‚ä¸å¿ƒA，åŠå¾„ABã®å††ã¨ç‚¹C,Dã¯Cinderellaã§ä½œå›³ã—ã¦ãŠã。 +\vspace{\baselineskip} +\hypertarget{com2nd}{} +\item[関数] Com2nd(æ–‡å—列） +\item[機能] Rã®Openfileã®ã‚ã¨ã«ç½®ãコマンド（文å—列）を定義ã™ã‚‹ã€‚ + + +\vspace{\baselineskip} +\hypertarget{com2ndpre}{} +\item[関数] Com2ndpre(æ–‡å—列） +\item[機能] Rã®Openfileã®ã‚ã¨ã«ç½®ãコマンド（文å—列）を定義ã™ã‚‹ã€‚ + +Openfileã®ç›´å¾Œï¼ˆã‚°ãƒ«ãƒ¼ãƒ—ã®å…ˆé ã«ï¼‰æ›¸ã出ã™ã€‚ +\end{comment} + +% =========== ã“ã“ã¾ã§ã€€ã‚³ãƒ¡ãƒ³ãƒˆåŒ– ========== + +\hypertarget{colorcode}{} +\item[関数] Colorcode(種別1,種別2, カラーコード) +\item[機能] 種別1ã‹ã‚‰ç¨®åˆ¥2ã¸ã‚«ãƒ©ãƒ¼ã‚³ãƒ¼ãƒ‰ã‚’変æ›ã™ã‚‹ã€‚戻り値ã¯å¤‰æ›ã•ã‚ŒãŸã‚³ãƒ¼ãƒ‰ã€‚ +\item[説明] 種別ã¯ï¼Œ"rgb","cmyk","hsv"ã®ã„ãšã‚Œã‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘変æ›ä¾‹ã‚’ã„ãã¤ã‹ç¤ºã™ã€‚ + +RGBã®[1,0,0]ã‚’CMYKã«å¤‰æ›ã—ãŸã‚³ãƒ¼ãƒ‰ã‚’コンソールã«è¡¨ç¤ºã™ã‚‹ã€‚ \begin{verbatim} -　　Circledata([A, B]); -　　Plotdata("1", "x^2", "x"); -　　pCr=Nearestptcrv(C.xy, "crAB") -　　pC1=Nearestptcrv(C.xy, "gr1") -　　pDr=Nearestptcrv(D.xy, "crAB"); -　　pD1=Nearestptcrv(D.xy, "gr1"); + col=Colorcode("rgb","cmyk",[1,0,0]); + println(col); \end{verbatim} -ãžã‚Œãžã‚Œï¼Œç‚¹C，点D ã‹ã‚‰æœ€ã‚‚è¿‘ã„曲線上ã®ç‚¹ã‚’表ã™ã€‚\\ -　\\ -　　　　　　\input{Fig/Nearestpt1}\\ -　\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +CMYKã®[0,1,1,0]ã‚’RGBã«å¤‰æ›ã—ãŸã‚³ãƒ¼ãƒ‰ã‚’コンソールã«è¡¨ç¤ºã™ã‚‹ã€‚ -\hypertarget{numptcrv}{} -\item[関数]　Numptcrv (プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿) -\item[機能]　曲線ã®ç¯€ç‚¹ã®å€‹æ•°ã‚’返㙠-\item[説明]　Cindyscript ã® length(PD)ã¨åŒã˜\\ - -例： 曲線上ã®ã„ãã¤ã‹ã®ç‚¹ã§åˆ†å‰²ã—ç ´ç·šã§å›³ç¤ºã™ã‚‹ã€‚\\ -区間$[-1, 2]$ã«å¯¾ã™ã‚‹2次関数ã®ã‚°ãƒ©ãƒ•ã‚’æã\\ -　　\verb|Deffun("f(x)",["regional(y)","y=-x^2+4","y"]);|\\ -　　\verb|Plotdata("1","f(x)","x=[-1,2]",["Num=200"]);|\\ -曲線ã®ç«¯ç‚¹ã‚’çµã¶ç›´ç·šã‚’æã\\ -　　\verb|Lineplot("3",[Ptstart(gr1),Ptend(gr1)],["do"]);|\\ -節点ã®4分ã®ï¼‘ã§æ›²ç·šã‚’分割ã—ã¦ç ´ç·šã‚’æã\\ -　　\verb|Lineplot("4",[Ptstart(gr1),Ptcrv(0.25*Numptcrv(gr1),gr1)],["da"]); |\\ -節点ã®2ç‰åˆ†ã§æ›²ç·šã‚’分割ã—ã¦ç ´ç·šã‚’æã\\ -　　\verb|Lineplot("5",[Ptstart(gr1),Ptcrv(0.5*Numptcrv(gr1),gr1)],["da"]); |\\ -節点ã®4分ã®3ã§æ›²ç·šã‚’分割ã—ã¦ç ´ç·šã‚’æã\\ -　　\verb|Lineplot("6",[Ptstart(gr1),Ptcrv(0.75*Numptcrv(gr1),gr1)],["da"]);| \\ -曲線上ã®ç‚¹Aã®æŽ¥ç·šã‚’引ã。 -\begin{verbatim} -　　coef=Derivative("f(x)","x",G.x); -　　Defvar("DC=coef"); -　　Deffun("g(x)",["regional(y)","y=DC*(x-G.x)+G.y","y"]); -　　Plotdata("2","g(x)","x",["dr,2"]); -\end{verbatim} - 　\\ -\input{Fig/numptcrv}\\ - -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\begin{verbatim} + col=Colorcode("cmyk","rgb",[0,1,1,0]); + println(col); +\end{verbatim} + +RGBã®[1,0,0]ã‚’HSVã«å¤‰æ›ã—ãŸã‚³ãƒ¼ãƒ‰ã‚’コンソールã«è¡¨ç¤ºã™ã‚‹ã€‚ -\hypertarget{paramoncrv}{} -\item[関数]　Paramoncrv(点ã®åº§æ¨™, 曲線ã®åå‰) -\item[機能]　曲線上ã®ç‚¹ã®ãƒ‘ラメータ値を返ã™ã€‚ -\item[説明]　曲線ã¯æŠ˜ã‚Œç·šã¨ã—ã¦æã‹ã‚Œã‚‹ãŒï¼Œæ›²ç·šä¸Šã®å„点ã¯ã“ã®æŠ˜ã‚Œç·šã®ç¯€ç‚¹ã‚’基準ã¨ã—ãŸãƒ‘ラメータ値をæŒã¤ã€‚パラメータ値ã¯æ•´æ•°éƒ¨åˆ†ãŒç¯€ç‚¹ã®ç•ªå·ï¼Œå°æ•°éƒ¨åˆ†ãŒç¯€é–“ã®ä½ç½®ã‚’表ã™ã€‚\\ - -例：図ã®ã‚ˆã†ãªç‚¹Pã‹ã‚‰Qã«è‡³ã‚‹å††å‘¨ä¸Šã®5ç‰åˆ†ç‚¹ã‚’節点ã¨ã™ã‚‹æŠ˜ã‚Œç·šsg1ã«ãŠã„ã¦ï¼Œ -$n$番目ã®ç·šåˆ†ä¸Šã®ç‚¹ã¯$n\leq t\leq n+1$ã®ç¯„囲ã®ãƒ‘ラメータ値をæŒã¤ã€‚\\ -図ã®ç‚¹$\mathrm{A}$ã¯2番目ã®ç·šåˆ†ä¸Šã«ã‚り，パラメータ値ã¯2.45ã§ã‚る。ã“ã®å€¤ã¯\\ -　　\verb|Paramoncrv(A.xy,"sg1");|\\ -ã«ã‚ˆã£ã¦å¾—られる。\\ -　\\ -　　　　　　　\input{Fig/paramoncrv}\\ - -\hypertarget{pointcrv}{} -\item[関数]　Pointoncrv(点ã®ãƒ‘ラメータ値, PD) -\item[機能]　曲線上ã®ãƒ‘ラメータ値をæŒã¤ç‚¹ã®åº§æ¨™ã‚’è¿”ã™ã€‚ -\item[説明]　曲線（折れ線）上ã®ç¯€ç‚¹ã‚’基準ã¨ã—ãŸãƒ‘ラメータ値ã«ã‚ˆã‚Šç‚¹ã®ä½ç½®ãŒå®šã¾ã‚‹ã€‚\\ - -例：図ã®ã‚ˆã†ãªç‚¹$\mathrm{P}$ã‹ã‚‰$\mathrm{Q}$ã«è‡³ã‚‹åŠå††å‘¨ä¸Šã®5ç‰åˆ†ç‚¹ã‚’節点ã¨ã™ã‚‹æŠ˜ã‚Œç·šsg1ã«ãŠã„ã¦ï¼Œãƒ‘ラメータ値$4.5$ã‚’æŒã¤ç‚¹$\mathrm{A}$ã¯4番目ã®ç·šåˆ†ã®ä¸ç‚¹ã§ã‚る。ã—ãŸãŒã£ã¦\\ -　　\verb|A.xy=Pointoncrv(4.5,"cr1");|\\ -ã«ã‚ˆã£ã¦ï¼Œç‚¹Aã‚’ä¸ç‚¹ã«ç½®ãã“ã¨ãŒã§ãる。\\ -　\\ -　　　　　　　　\input{Fig/pointoncrv} - -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage -\hypertarget{ptcrv}{} -\item[関数]　Ptcrv(n,プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿) -\item[機能]　曲線プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®n 番目ã®ç¯€ç‚¹ã‚’返㙠-\item[説明]　Cindyscript ã® PD\_n ã¨åŒã˜\\ - -例：楕円上ã®ç‚¹ã§åˆ†å‰²ã™ã‚‹ã€‚ã‚ã‹ã‚‰ã˜ã‚å¿…è¦ãªç‚¹ã‚’作図ã—ã¦ãŠã。 -\begin{verbatim} -　　　Circledata([O,P],["do","Num=100","notex"]); -　　　Scaledata("1","crOP",4/3,1); -　　　F.xy=[-sqrt(7),0]; -　　　A=Ptcrv(9,sc1); -　　　B=Ptcrv(16,sc1); -　　　Listplot("1",[A,F,B],["da"]); -　　　Partcrv("1",A,B,"sc1",["dr,3"]); -　　　Shade(["part1","sg1"],0.1); -　　　Arrowhead(B,"sc1",[1.5]); -　　　Letter([A,"ne","A",B,"ne","B",F,"s2","F"]); -\end{verbatim} - 　　　 　　　\input{Fig/ptcrv} - -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\begin{verbatim} + col=Colorcode("rgb","hsv",[1,0,0]); + println(col); +\end{verbatim} -\hypertarget{ptstart}{} -\item[関数]　Ptstart(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿) , Ptend(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿) -\item[機能]　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®æœ€åˆã®ç‚¹ï¼Œæœ€å¾Œã®ç‚¹ã‚’å–å¾—ã™ã‚‹ã€‚ -\item[説明]　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®æœ€åˆã®ç‚¹ï¼Œæœ€å¾Œã®ç‚¹ã®åº§æ¨™ã‚’è¿”ã™ã€‚\\ -　\\ -例：定義域をé™å®šã—ãŸã‚°ãƒ©ãƒ•ã®ä¸¡ç«¯ã®ç‚¹ã‚’å–å¾—ã—線分ABを引ã。\\ +\vspace{\baselineskip} +\hypertarget{dqq}{} +\item[関数] Dqq(æ–‡å—列) +\item[機能] æ–‡å—列ã®å‰å¾Œã«\verb|"|ã‚’ã¤ã‘る。 \begin{verbatim} -　　　Deffun("f(x)",["regional(y)","y=x^2","y"]); -　　　Plotdata("1","f(x)","x=[-1,2]",["dr"]); -　　　Lineplot("2",[Ptstart(gr1),Ptend(gr1)]); + str="abc"; + str2=Dqq(str); + println([str,str2]); \end{verbatim} - 　　　　\input{Fig/ptstart}\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -　\\ +\vspace{\baselineskip} +\hypertarget{factorial}{} +\item[関数] Factorial(n) +\item[機能] æ£ã®æ•´æ•°$n$ã®éšŽä¹—を計算ã™ã‚‹ã€‚ -\hypertarget{readoutdata}{} -\item[関数]　ReadOutData(ファイルå） -\item[機能]　外部データをèªã¿è¾¼ã‚€ -\item[説明]　Scilabã®WriteOutDataã§ä½œã£ãŸãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åˆ—ã®ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’èªã¿è¾¼ã‚€ã€‚\\ -引数をçœç•¥ã—ãŸå ´åˆã¯ï¼ŒFheadã§å®šç¾©ã—ãŸãƒ•ã‚¡ã‚¤ãƒ«åã®ãƒ†ã‚ストファイルã‹ã‚‰èªã¿è¾¼ã‚€ã€‚ -ファイルåã«ã¯ã‚³ãƒ³ãƒžã§åŒºåˆ‡ã£ã¦ãƒ‘スを与ãˆã‚‹ã“ã¨ãŒã§ãる。ãŸã¨ãˆã°ï¼Œ\\ -　　　\verb|ReadOutData("/datafolder","file.txt"); |\\ -　\\ -　\\ -\hypertarget{sprintf}{} -\item[関数]　Sprintf(実数,é•·ã•) -\item[機能]　å°æ•°ç‚¹ä»¥ä¸‹ã®é•·ã•ã‚’固定ã—ãŸæ–‡å—列ã«å¤‰æ› -\item[説明]　実数を，å°æ•°ç‚¹nä½ã¾ã§ã®æ•°ã¨ã—ãŸæ–‡å—列ã«å¤‰æ›ã™ã‚‹\\ -　\\ -例　Sprintf(pi,2) 㯠3.14 ã‚’è¿”ã™\\ -　　Sprintf(pi,7) 㯠3.1415927 ã‚’è¿”ã™\\ -注）pi 㯠Cindyscriptã®äºˆç´„変数ã§ï¼Œå††å‘¨çŽ‡ã‚’表ã™ã€‚　\\ - -\hypertarget{writetosci}{} -\item[関数]　WritetoSci(引数) ,WritetoScibody(引数) -\item[機能]　Scilab用ã®ã‚½ãƒ¼ã‚¹ãƒ•ã‚¡ã‚¤ãƒ«ã«æ›¸ã出㙠-\item[説明]　ソースファイルã¸ã®æ›¸ã出ã—æ–¹ã«ï¼“ã¤ã®ã‚¿ã‚¤ãƒ—ãŒã‚ã‚‹\\ - -・引数ãªã—ã®å ´åˆ\\ -　　Fheadã§å®šç¾©ã—ãŸãƒ•ã‚¡ã‚¤ãƒ«åã«æ‹¡å¼µå .sci ã‚’ä»˜åŠ ã—ã¦å…¨ä½“を書ã出ã™ã€‚\\ -　　末尾ã«ã‚³ãƒ¡ãƒ³ãƒˆã‚¢ã‚¦ãƒˆã—㟠quit() ã‚’ä»˜åŠ ã™ã‚‹ã€‚\\ -・WritetoSciã®å¼•æ•°ã«æ¬¡ã®æ•°ã‚’渡㙠\\ -　\verb|WritetoSci(1)|： WritetoSci() ã¨åŒã˜\\ -　\verb|WritetoSci(2)|： 全体を書ã出ã—，末尾㫠quit() ã‚’ä»˜åŠ ã™ã‚‹ã€‚\\ -　\verb|WritetoSci(3)|： WritetoScibody() ã¨åŒã˜ã€‚body部分ã®ã¿ã‚’書ã出ã™ã€‚\\ -・ファイルåを引数ã¨ã™ã‚‹\\ -　　引数ã®ãƒ•ã‚¡ã‚¤ãƒ«åã§æ›¸ã出ã™ã€‚ãŸã ã—，拡張å .sci ã‚’ã¤ã‘ã‚‹å¿…è¦ãŒã‚る。\\ -・引数を "sh" ã¨ã™ã‚‹\\ -　　WritetoSci(2) ã¨åŒã˜ã€‚\\ -・\verb|WritetoSci(filename,"sh")|\\ -　　引数ã®ãƒ•ã‚¡ã‚¤ãƒ«åã§shell（bat）コマンド用ã®ãƒ•ã‚¡ã‚¤ãƒ«ã‚’書ã出ã™ã€‚\\ -・\verb|WritetoSci(æ•°å— ,filename)| ã¯ä¸å¯ï¼ˆã‚¨ãƒ©ãƒ¼ã¨ãªã‚‹ï¼‰\\ -\\ +\vspace{\baselineskip} +\hypertarget{norm}{} +\item[関数] Norm(ベクトル), Norm(ベクトル1, ベクトル2) +\item[機能] ベクトル（2ã¤ã®ãƒ™ã‚¯ãƒˆãƒ«ã®å ´åˆã¯å·®ã®å¤§ãã•ï¼‰ã®å¤§ãã•ã‚’計算ã™ã‚‹ã€‚ + +\vspace{\baselineskip} +\hypertarget{figpdf}{} +\item[関数] Figpdf(option） +\item[機能] å‡ºåŠ›æž ã‚µã‚¤ã‚ºã®PDFを作る。 +\item[説明] \ketcindy ã§ã¯ï¼Œé€šå¸¸ï¼Œå‡ºåŠ›ã•ã‚ŒãŸ fig.tex ファイルを閲覧ã™ã‚‹PDFã‚’A4サイズã§ä½œæˆã™ã‚‹ã€‚ã“ã‚Œã«å¯¾ã—，Figpdf()を実行ã™ã‚‹ã¨ï¼Œå‡ºåŠ›ã‚µã‚¤ã‚ºã®PDFを作æˆã™ã‚‹ã€‚閲覧用ã ã‘ã§ã¯ãªãワープãƒãªã©ã«ã«è²¼ã‚Šè¾¼ã‚€ã¨ãã«ãã®ã¾ã¾ä½¿ç”¨ã§ãる。ãŸã ã—，ãã®ãŸã‚ã®è¦ªåプãƒã‚»ã‚¹ã‚’生æˆã—ã¦å®Ÿè¡Œã™ã‚‹ãŸã‚，次ã®æ‰‹ç¶šã(1)(2)ãŒå¿…è¦ã¨ãªã‚‹ã€‚ -\hypertarget{makeshell}{} -\item[関数]　Makeshell(ファイルå) / Makebat(ファイルå) -\item[機能]　Macã®å ´åˆã¯ã‚·ã‚§ãƒ«ãƒ•ã‚¡ã‚¤ãƒ«ï¼ŒWindowsã®å ´åˆã¯ãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ«ã‚’書ã出ã™ã€‚ -\item[説明]　書ã出ã•ã‚Œã‚‹ãƒ•ã‚¡ã‚¤ãƒ«ã¯æ¬¡ã®é€šã‚Šã€‚\\ -・書ã出ã•ã‚Œã‚‹å ´æ‰€ã¨ãƒ•ã‚¡ã‚¤ãƒ«åã¯ï¼Œ Shellparent / Batparent ã§æŒ‡å®šã—ãŸã‚‚ã®ã€‚\\ -・内容ã¯ï¼ŒShellchild / Batchild ã«ï¼Œåプãƒã‚»ã‚¹ã®å¼•æ•°ã¨ã—㦠Fhead ã¨å¼•æ•°ã®ãƒ•ã‚¡ã‚¤ãƒ«åã‚’ä»˜åŠ ã—ãŸã‚‚ã®ã€‚ãŸã¨ãˆã°ï¼ŒShellchild="sh ketcindy.sh" ã§ï¼ŒFhead="fig" , 引数㌠"fig2tex" ã§ã‚れ㰠+\vspace{\baselineskip} +(1) Setparent(filename)ã§ï¼Œå‡ºåŠ›ã™ã‚‹PDF用ã®ãƒ•ã‚¡ã‚¤ãƒ«åã‚’è¨å®šã™ã‚‹ã€‚ + +(2) 出力ã¯ï¼Œã€ŒParentã€ã®ãƒœã‚¿ãƒ³ã‚’押ã™ã€‚ + +\vspace{\baselineskip} +ãŸã¨ãˆã°ï¼Œfig.cdy ã§ä½œå›³ã—ã¦ã„ã‚‹ã¨ã， \begin{verbatim} -　　#!/bin/sh -　　cd /Users/Hoge/Desktop/KeTCindy -　　sh ketcindy.sh fig fig2tex -　　exit 0 + Setparent("pic"); \end{verbatim} -ãŒæ›¸ã出ã•ã‚Œã‚‹ã€‚２行目ã®ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªï¼ˆãƒ•ã‚©ãƒ«ãƒ€ï¼‰åã¯ï¼ŒDirwork ã§æŒ‡å®šã—ãŸã‚‚ã®ã€‚\\ -ãŸã ã—，上記㮠fig 㯠fig.sci ã®ã“ã¨ã ãŒï¼Œfig.sci ã¯å‡ºåŠ›ã•ã‚Œãªã„ã®ã§ï¼Œåˆ¥é€” WritetoSci(2) ã§æ›¸ã出ã™å¿…è¦ãŒã‚る。\\ -　\\ +ã¨ã™ã‚‹ã¨ï¼Œfig.tex を表示ã—㟠pic.pdf ãŒä½œæˆã•ã‚Œã‚‹ã€‚pic.pdf ãŒç›®çš„ã®PDF。 + +ã“ã®ãƒ•ã‚¡ã‚¤ãƒ«å㯠作図ã—ã¦ã„ã‚‹Cinderellaã®ãƒ•ã‚¡ã‚¤ãƒ«å，ã¾ãŸã¯ Setfiles() ã§æŒ‡å®šã—ãŸãƒ•ã‚¡ã‚¤ãƒ«åã¨ã¯ç•°ãªã‚‹ã‚‚ã®ã«ã™ã‚‹ã€‚ -\hypertarget{textformat}{} -\item[関数]　Textformat(数，æ¡æ•°) -\item[機能]　å°æ•°ç‚¹ä»¥ä¸‹ã®æ¡æ•°ã‚’指定ã—ã¦æ•°ã‚’æ–‡å—列化ã™ã‚‹ã€‚ -\item[説明]　Cindyscriptã®çµ„ã¿è¾¼ã¿é–¢æ•°ã«ã‚‚，format()ã¨ã„ã†åŒæ§˜ã®é–¢æ•°ãŒã‚ã‚‹ãŒï¼Œã“ã¡ã‚‰ã¯ï¼Œæ•°ã®ãƒªã‚¹ãƒˆã«ã‚‚対応ã™ã‚‹ã€‚\\ - -例：円周率をå°æ•°ç‚¹ä»¥ä¸‹ï¼•ä½ã¾ã§ã§æ–‡å—列化ã™ã‚‹ã€‚\\ -　\\ -　　\verb|Textformat(pi,5);|\\ -　\\ -　　戻り値ã¯ï¼Œ3.14159\\ -　\\ -例：円周率ã¨ï¼Œãƒãƒ”ア数をリストã«ã—ã¦ï¼Œå…±ã«å°æ•°ç‚¹ä»¥ä¸‹ï¼•ä½ã¾ã§ã§æ–‡å—列化ã—ãŸãƒªã‚¹ãƒˆã‚’è¿”ã™ã€‚\\ -　\\ -　　\verb|Textformat([pi,exp(1)],5);|\\ -　\\ -　　戻り値ã¯ï¼Œ[3.14159,2.71828] \\ - 　\\ +optionã¯ï¼Œãƒžãƒ¼ã‚¸ãƒ³ï¼ˆä½™ç™½ï¼‰ã¨å¹³è¡Œç§»å‹•é‡ã€‚指定ã—ãªã„å ´åˆã¯ åˆæœŸè¨å®šå€¤ã€‚ -\hypertarget{viewtex}{} -\item[関数]　Viewtex() -\item[機能]　\TeX ã®ã‚½ãƒ¼ã‚¹ãƒ•ã‚¡ã‚¤ãƒ«ã‚’書ã出ã™ã€‚引数ãªã—。 -\item[説明]　グãƒãƒ¼ãƒãƒ«å¤‰æ•°Fheadã§å®šç¾©ã—ãŸãƒ•ã‚¡ã‚¤ãƒ«åã« "main" ã‚’ä»˜åŠ ã—ãŸ\TeX ã®ã‚½ãƒ¼ã‚¹ãƒ•ã‚¡ã‚¤ãƒ«ã¨ãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ«ï¼ˆMacã®å ´åˆã¯ã‚·ã‚§ãƒ«ãƒ•ã‚¡ã‚¤ãƒ«ï¼‰ã‚’作æˆã™ã‚‹ã€‚\\ -Fhead ã®ã»ã‹ï¼Œãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªæŒ‡å®šãªã©ã®ãŸã‚，次ã®ã‚°ãƒãƒ¼ãƒãƒ«å¤‰æ•°ã«å¿…è¦äº‹é …ãŒä»£å…¥ã•ã‚Œã¦ã„ã‚‹ã“ã¨ãŒæ¡ä»¶ã§ã‚る。\\ -　\\ -　　Dirwork=作æ¥ãƒ•ã‚©ãƒ«ãƒ€ã®ãƒ‘ス\\ -　　Shellparent=親プãƒã‚»ã‚¹ (kc.sh / kc.bat )ã‚’ç½®ãディレクトリã®ãƒ‘ス\\ -　　Shellchild=åプãƒã‚»ã‚¹å\\ -　　Libname=Scilabã®ãƒ©ã‚¤ãƒ–ラリ ketpicsciL5 ã¸ã®ãƒ‘ス\\ -　\\ -ãŸã¨ãˆã°ï¼ŒFhead="fig" ã¨ã™ã‚‹ã¨\\ -・図を表示ã™ã‚‹ fig.sci ã‚’ Dirwork ã§æŒ‡å®šã—ãŸãƒ•ã‚©ãƒ«ãƒ€ã«ã‚’生æˆã™ã‚‹ã€‚(ã™ã§ã«ã‚ã‚‹å ´åˆã¯ä¸Šæ›¸ã)\\ -・Dirwork ã§æŒ‡å®šã—ãŸãƒ•ã‚©ãƒ«ãƒ€ã« figmain.tex を生æˆã™ã‚‹ã€‚（ã™ã§ã«ã‚ã‚‹å ´åˆã¯ä¸Šæ›¸ã）\\ -　figmain.tex 㯠\TeX ã®ãƒ—リアンブル㨠\verb|begin{document}| ã‚’è¨å®šã—ãŸã‚½ãƒ¼ã‚¹ãƒ•ã‚¡ã‚¤ãƒ«ã§ï¼Œä¸ã«ã¯ \verb|input{"fig.tex"}| ãŒæ›¸ã‹ã‚Œã¦ãŠã‚Šï¼Œã“れをコンパイルã™ã‚Œã°ä½œæˆã—ãŸå›³ã‚’表示ã™ã‚‹ã“ã¨ãŒã§ãる。\\ -・親プãƒã‚»ã‚¹ã®ç”Ÿæˆï¼ˆã™ã§ã«ã‚ã‚‹å ´åˆã¯ä¸Šæ›¸ã）\\ -　ketcindy.sh (Mac) ketcindy.bat(Windows) ã‚’åプãƒã‚»ã‚¹ã¨ã—㦠figmain.tex 㨠fig.tex を引数ã¨ã—ã¦å®Ÿè¡Œã™ã‚‹ãƒ—ãƒã‚»ã‚¹ kc.sh(Mac) kc.bat (Windows) を作æ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã«ç”Ÿæˆã™ã‚‹ã€‚ã“れを実行ã™ã‚‹ã¨å›³ã‚’表示ã™ã‚‹PDFファイルãŒä½œã‚‰ã‚Œã‚‹ã€‚\\ -　以上ã®æ‰‹ç¶šãã«ã‚ˆã‚Šï¼ŒViewtex() を実行ã™ã‚Œã°ï¼Œãƒ‡ã‚¹ã‚¯ãƒˆãƒƒãƒ—上ã«ç”Ÿæˆã•ã‚ŒãŸ kc.sh / kc.bat を使ã£ã¦ï¼Œfig.sci ã®ç”Ÿæˆã‹ã‚‰ï¼Œfig.tex ã®ä½œæˆï¼Œ\TeX ã®ã‚³ãƒ³ãƒ‘イルã¾ã§ã®ä¸€é€£ã®æ“作を自動実行ã—ã¦ï¼Œå›³ã‚’表示ã™ã‚‹ã“ã¨ãŒã§ãã‚‹ã“ã¨ã«ãªã‚‹ã€‚kc.sh / kc.bat ã®å®Ÿè¡Œã¯ï¼Œkc() ã§è¡Œã†ã“ã¨ãŒã§ãる。\\ - \\ - - \hypertarget{workprocess}{} -\item[関数]　Workprocess(） -\item[機能]　作図ã®çµŒéŽã‚’å–å¾—ã™ã‚‹ -\item[説明]　作図ツールを用ã„ãŸä½œå›³ã®çµŒéŽã‚’å–å¾—ã™ã‚‹ã€‚\\ -　\verb|println(Workproccess());|\\ -　ã¨ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ä½œå›³æ‰‹é †ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ +余白ã¯ï¼Œå·¦å³ä¸Šä¸‹ã®é †ã«4ã¤ã®æ•°ã‚’コンマã§åŒºåˆ‡ã‚‹ã€‚ -\end{description} +平行移動é‡ã¯ï¼Œå³æ–¹å‘，下方å‘をリストã§ä¸Žãˆã‚‹ã€‚ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage +余白指定ã¨å¹³è¡Œç§»å‹•æŒ‡å®šã¯åŒæ™‚ã«è¡Œã†ã“ã¨ãŒã§ãる。 -%=================================================== -\subsection{ãã®ä»–} -\begin{description} +\vspace{\baselineskip} +ã€ä¾‹ã€‘余白ã®è¨å®š +\begin{tabbing} +1234\=567890123456789012345678901234\=\kill + \> \verb|Figpdf([5,5,10,10]);| \> å·¦å³ã«5mm，上下10mmã®ä½™ç™½\\ + \> \verb|Figpdf([[5,10]]);| \> å³ã«5mm，下ã«10mm平行移動ã—ã¦è¡¨ç¤º\\ + \> \verb|Figpdf([5,8,10,10,[5,-5]]);| \> å·¦5mm，å³8mm，上下10mmã®ä½™ç™½ï¼Œ\\ + \> \> å³ã«5mm，上ã«5mm平行移動ã—ã¦è¡¨ç¤º +\end{tabbing} + +ãªãŠï¼Œåº§æ¨™è»¸ã‚’表示ã™ã‚‹å ´åˆï¼Œå³å´ã¯æœ€ä½Ž3mmã®ä½™ç™½ã‚’è¨å®šã—ãªã„ã¨è»¸ã®æ–‡å—ãŒå…¥ã‚‰ãªã„。 -\hypertarget{assign}{} -\item[関数]　Assign(æ–‡å—列，文å—，文å—） -\item[機能]　文å—列ã®ä¸ã®ã‚ã‚‹æ–‡å—ã‚’ä»–ã®æ–‡å—ã§ç½®ãæ›ãˆã‚‹ -\item[説明]　第１引数ã®æ–‡å—列ä¸ã®ç¬¬ï¼’引数ã®æ–‡å—を，第３引数ã®æ–‡å—ã§ç½®ãæ›ãˆã‚‹ã€‚\\ -　第３引数ãŒæ•°å€¤ã®å ´åˆï¼Œæ–‡å—列ã«å¤‰æ›ã•ã‚Œã‚‹ã€‚\\ -　第２引数ã¨ï¼Œç¬¬ï¼“引数をリストã«ã—ã¦ï¼Œè¤‡æ•°ã®ç½®ãæ›ãˆã‚’ã™ã‚‹ã“ã¨ãŒã§ãる。\\ -　\\ -　例：a*x ã‚’1.3*x ã¨ã—ãŸæ–‡å—列を返ã™ã€‚次ã®ã„ãšã‚Œã‚‚åŒã˜çµæžœã«ãªã‚‹ã€‚ -\begin{verbatim} -　　　Assign("x^2+a*x","a","1.3"); -　　　Assign("x^2+a*x","a",1.3); -\end{verbatim} -　\\ -　例：直線 $y=bx-b^2$ ã®ä¿‚æ•°$b$を変化ã•ã›ã¦æã，包絡線をã†ã‹ã³ã‚ãŒã‚‰ã›ã‚‹ã€‚ -\begin{verbatim} -　　　　repeat(50,t, - 　　　　　cb=t/5-5; - 　　　　　Plotdata(text(t),Assign("b*x-b^2","b",cb),"x"); -　　　　); -\end{verbatim} - 　\\ -　　　　　\input{Fig/assign}\\ -　\\ -　例：文å—ã§è¡¨ã•ã‚ŒãŸ $x$ 㨠$y$ ã®ä¿‚æ•°ã‚’ã¾ã¨ã‚ã¦æ•°å€¤ã§ç½®ãæ›ãˆã‚‹ã€‚\\ -　　　\verb|Assign("a*x^2+b*x",["a",1,"b",2]);|\\ -　\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\hypertarget{bbdata}{} -\item[関数]　BBdata(ファイルå,option） -\item[機能]　画åƒãƒ•ã‚¡ã‚¤ãƒ«ã®ã‚µã‚¤ã‚ºã‚’求ã‚ã‚‹ -\item[説明]　TeX文書ã«ãŠã„ã¦ï¼Œinputgraphics コマンドã§ç”»åƒã‚’貼り込むã¨ãã®BBサイズを求ã‚る。\\ -　TeX処ç†ç³»ã® extractbb を用ã„ã¦ç”»åƒãƒ•ã‚¡ã‚¤ãƒ«ã‹ã‚‰BBデータを作り，テã‚ストファイルã¨ã—ã¦ä½œæ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã«æ›¸ã出ã™ã€‚ã“れをèªã‚“ã§ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã« ingludegarphics ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’書ã出ã™ã€‚\\ -　optionã¯ï¼Œå¹…ã¾ãŸã¯é«˜ã•ã®æŒ‡å®šã€‚\\ -　"w=40mm" 㧠width=40mm ãŒï¼Œ"h=40mm" 㧠height=40mm ãŒä»˜åŠ ã•ã‚Œã‚‹ã€‚\\ -　\\ -例：pic.pdf ã®ã‚µã‚¤ã‚ºã‚’求ã‚る。\\ -　　\verb|BBdata("pic.pdf")|\\ -　を実行ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã« ingludegarphics ã®ã‚³ãƒžãƒ³ãƒ‰æ–‡\\ -　　　\verb|\includegraphics[bb=・・・・]{pic.pdf} |\\ -　ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã“れをãã®ã¾ã¾ã‚³ãƒ”ーã™ã‚Œã°ã‚ˆã„。\\ -　ãªãŠï¼Œbbã®å€¤ã¯æ•´æ•°å€¤ã§ã¯ãªã，高精細ã®å€¤ã‚’å°æ•°ç‚¹ä»¥ä¸‹2æ¡ã«å››æ¨äº”å…¥ã—ã¦ç¤ºã•ã‚Œã‚‹ã€‚\\ -　画åƒãƒ•ã‚¡ã‚¤ãƒ«ã¯ï¼ŒPDFã«é™ã‚‰ãšï¼ŒPNG，JPGãªã©ã§ã‚‚よã„。\\ -　\\ -例：\verb|BBdata("fig.jpg",["h=40mm"]);|\\ -　　ã§\\ -　　\verb|\includegraphics[bb=0.00 0.00 578.16 592.56,height=40mm]{fig.jpg} |\\ -　　ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -　\\ +\vspace{\baselineskip} +\hypertarget{help}{} +\item[関数] Help(æ–‡å—列） +\item[機能] 関数ã®ä½¿ç”¨ä¾‹ã‚’å–å¾—ã™ã‚‹ +\item[説明] æ–‡å—列ã§å§‹ã¾ã‚‹é–¢æ•°ã®ä½¿ç”¨ä¾‹ã‚’コンソールã«è¡¨ç¤ºã™ã‚‹ã€‚ -\hypertarget{changework}{} -\item[関数]　Changework(パスå） -\item[機能]　作æ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã‚’指定（変更）ã™ã‚‹ -\item[説明]　作æ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã¯ï¼ŒInitializationスãƒãƒƒãƒˆã®KETlibページ㫠Dirwork= ã§æŒ‡å®šã•ã‚Œã¦ã„ã‚‹ãŒï¼Œã“れを変更ã™ã‚‹ã€‚Drawスãƒãƒƒãƒˆã®ï¼ŒKetinit() ã®å‰ã«è¨˜è¿°ã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šï¼ŒKetlibページã®è¨˜è¿°ã‚’変更ã—ãªãã¦ã™ã‚€ã€‚\\ -　ã“ã‚Œã«ã‚ˆã‚Šï¼Œä½œæˆã—ãŸãƒ•ã‚¡ã‚¤ãƒ«ã‚’ä»–ã®äººã¨ã‚„ã‚Šå–ã‚Šã—ã‚„ã™ããªã‚‹ã€‚\\ +\hspace{10mm} \verb|println(Help("L"));| + + ã®ã‚ˆã†ã«ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ï¼Œæ¬¡ã®ã‚ˆã†ã«ã€ŒLã€ã§å§‹ã¾ã‚‹é–¢æ•°ã®ä½¿ç”¨ä¾‹ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ +\begin{verbatim} + Letter([C,"c","Graph of $f(x)$"]); + Letter([C,"c","xy"],["size->30"]); + æ–‡å—を書ã込む + Letterrot(C,B-A,"AB"); + Letterrot(C,B-A,"t0n5","AB"); + Letterrot(C,B-A,0,5,"AB"); + 傾ã„ãŸæ–‡å—を書ã込む + 　　・・・・ +\end{verbatim} -\hypertarget{com0th}{} -\item[関数]　Com0th(æ–‡å—列） -\item[機能]　Scilabã®Openfileã®å‰ã«ç½®ãコマンド（文å—列）を定義ã™ã‚‹ã€‚ -\item[説明]　例：\verb|Com0th("Setax('a')");|\\ -　Openfileã®å‰ã®éƒ¨åˆ†ã®å…ˆé ã«æ›¸ã出ã™ã€‚ã“ã‚Œã«ã‚ˆã‚Šï¼Œ \ketcindy ã§ã‚µãƒãƒ¼ãƒˆã•ã‚Œã¦ã„ãªã„Scilab版\ketpic ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’利用ã™ã‚‹ã“ã¨ãŒã§ãる。\\ -　\\ -\hypertarget{com1st}{} -\item[関数]　Com1st(æ–‡å—列） -\item[機能]　Scilabã®Openfileã®å‰ã«ç½®ãコマンド（文å—列）を定義ã™ã‚‹ã€‚ -\item[説明]　例：\verb|Com1st("Setax('a')");|\\ -　ã“ã‚Œã«ã‚ˆã‚Šï¼Œ \ketcindy ã§ã‚µãƒãƒ¼ãƒˆã•ã‚Œã¦ã„ãªã„Scilab版\ketpic ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’利用ã™ã‚‹ã“ã¨ãŒã§ãる。 -\\ -\hypertarget{com2nd}{} -\item[関数]　Com2nd(æ–‡å—列） -\item[機能]　Scilabã®Openfileã®ã‚ã¨ã«ç½®ãコマンド（文å—列）を定義ã™ã‚‹ã€‚ -\\ +\vspace{\baselineskip} +\hypertarget{helpkey}{} +\item[関数] Helpkey(æ–‡å—列） +\item[機能] 関数ã®ä½¿ç”¨ä¾‹ã‚’ã‚ーワードã§æ¤œç´¢ã™ã‚‹ +\item[説明] æ–‡å—列ã«ä¸ŽãˆãŸã‚ーワードã§é–¢æ•°ã®ä½¿ç”¨ä¾‹ã‚’検索ã—，コンソールã«è¡¨ç¤ºã™ã‚‹ã€‚ -\hypertarget{com2ndpre}{} -\item[関数]　Com2ndpre(æ–‡å—列） -\item[機能]　Scilabã®Openfileã®ã‚ã¨ã«ç½®ãコマンド（文å—列）を定義ã™ã‚‹ã€‚ -　Openfileã®ç›´å¾Œï¼ˆã‚°ãƒ«ãƒ¼ãƒ—ã®å…ˆé ã«ï¼‰æ›¸ã出ã™ã€‚\\ +\vspace{\baselineskip} +ã€ä¾‹ã€‘\verb|Helpkey("ç›´ç·š");| ã¨ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«æ¬¡ã®ã‚ˆã†ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ +\begin{verbatim} + IntersectsgpL("",[p1,p2],[p3,p4,p5],"draw"); + IntersectsgpL("R","P-Q","A-B-C"); + IntersectsgpL("R","P-Q","A-B-C","put"); + 空間ã®ç›´ç·šã¨å¹³é¢ã®äº¤ç‚¹ + Lineplot("1",[[2,1],[3,3]]); + 　　・・・・ +\end{verbatim} -\hypertarget{figpdf}{} -\item[関数]　Figpdf(option） -\item[機能]ã€€å‡ºåŠ›æž ã‚µã‚¤ã‚ºã®PDFを作る。 -\item[説明]　KeTCindyã§ã¯ï¼Œé€šå¸¸ï¼Œå‡ºåŠ›ã•ã‚ŒãŸ fig.tex ファイルを閲覧ã™ã‚‹PDFã‚’A4サイズã§ä½œæˆã™ã‚‹ã€‚ã“ã‚Œã«å¯¾ã—，Figpdf()を実行ã™ã‚‹ã¨ï¼Œå‡ºåŠ›ã‚µã‚¤ã‚ºã®PDFを作æˆã™ã‚‹ã€‚閲覧用ã ã‘ã§ã¯ãªãワープãƒãªã©ã«ã«è²¼ã‚Šè¾¼ã‚€ã¨ãã«ãã®ã¾ã¾ä½¿ç”¨ã§ãã‚‹ã®ã§ä¾¿åˆ©ã§ã‚る。ãŸã ã—，ãã®ãŸã‚ã®è¦ªåプãƒã‚»ã‚¹ã‚’生æˆã—ã¦å®Ÿè¡Œã™ã‚‹ãŸã‚，次ã®æ‰‹ç¶šã(1)(2)ãŒå¿…è¦ã¨ãªã‚‹ã€‚\\ -(1) 変数　Texparent　をè¨å®šã™ã‚‹ã€‚\\ -　ã“ã‚Œã¯ï¼Œå‡ºåŠ›ã™ã‚‹PDFã®ãƒ•ã‚¡ã‚¤ãƒ«åã®æŒ‡å®šã§ã‚る。ãŸã¨ãˆã°ï¼Œ -\begin{verbatim} -　　Fhead="fig"; -　　Texparent="pic"; -\end{verbatim} -　ã¨ã™ã‚‹ã¨ï¼Œfig.tex を表示ã—㟠pic.pdf ãŒä½œæˆã•ã‚Œã‚‹ã€‚pic.pdf ãŒç›®çš„ã®PDF。\\ -　Texparent 㯠Fhead ã¨ã¯ç•°ãªã‚‹ã‚‚ã®ã«ã™ã‚‹ã€‚\\ -(2) 出力ã¯ï¼Œã€ŒParentã€ã®ãƒœã‚¿ãƒ³ã‚’押ã™ã€‚\\ -　\\ -optionã¯ï¼Œãƒžãƒ¼ã‚¸ãƒ³ï¼ˆä½™ç™½ï¼‰ã¨å¹³è¡Œç§»å‹•é‡ã€‚指定ã—ãªã„å ´åˆã¯ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆå€¤ã€‚\\ -余白ã¯ï¼Œå·¦å³ä¸Šä¸‹ã®é †ã«ï¼”ã¤ã®æ•°ã‚’コンマã§åŒºåˆ‡ã‚‹ã€‚。\\ -平行移動é‡ã¯ï¼Œå³æ–¹å‘，下方å‘をリストã§ä¸Žãˆã‚‹ã€‚\\ -余白指定ã¨å¹³è¡Œç§»å‹•æŒ‡å®šã¯åŒæ™‚ã«è¡Œã†ã“ã¨ãŒã§ãる。\\ -例：\verb|Figpdf([5,5,10,10]);|　　　　左å³ã«5mm，上下10mmã®ä½™ç™½\\ -　　\verb|Figpdf([5,10]);|　　　　　　å³ã«5mm，下ã«10mm平行移動ã—ã¦è¡¨ç¤º\\ -　　\verb|Figpdf([5,8,10,10,[5,-5]]);|　左5mm，å³8mm，上下10mmã®ä½™ç™½ï¼Œ\\ -　　　　　　　　　　　　　　　　　å³ã«5mm，上ã«5mm平行移動ã—ã¦è¡¨ç¤º\\ -ãªãŠï¼Œåº§æ¨™è»¸ã‚’表示ã™ã‚‹å ´åˆï¼Œå³å´ã¯æœ€ä½Ž3mmã®ä½™ç™½ã‚’è¨å®šã—ãªã„ã¨è»¸ã®æ–‡å—ãŒå…¥ã‚‰ãªã„。\\ +\vspace{\baselineskip} +\hypertarget{indexall}{} +\item[関数] Indexall(str1,str2); +\item[機能] æ–‡å—列 str1 ã‹ã‚‰ str2 を検索ã—ãã®ä½ç½®ã‚’ã™ã¹ã¦è¿”ã™ +\item[説明] Cindyscriptã® indexof() ã®æ‹¡å¼µç‰ˆã€‚indexof() ãŒæœ€åˆã«è¦‹ã¤ã‹ã£ãŸä½ç½®ã‚’è¿”ã™ã®ã«å¯¾ã—，Indexall()ã¯å˜åœ¨ã™ã‚‹ä½ç½®ã‚’ã™ã¹ã¦ãƒªã‚¹ãƒˆã«ã—ã¦è¿”ã™ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘str="abcabcabc" ã‹ã‚‰ "b"を検索ã™ã‚‹ã€‚ + +\verb|indexof(str,"b")| ã§ã¯ï¼Œ2 ãŒè¿”る。 + +\verb|Indexall(str,"b")| ã§ã¯ï¼Œ[2,5,8]ãŒè¿”る。 + +\vspace{\baselineskip} +\hypertarget{isptselected}{} +\item[関数] Isptselected(点å）ã¾ãŸã¯ Ptselected(点å) +\item[機能] 点ãŒé¸æŠžã•ã‚Œã¦ã„れ㰠true,ãã†ã§ãªã‘れ㰠false ã‚’è¿”ã™ã€‚ +\item[説明] 点åã¯ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚引数ã¯ãªã—ã«ã™ã‚‹ã“ã¨ã‚‚å¯èƒ½ã§ï¼Œãã®å ´åˆã¯ã™ã¹ã¦ã®ç‚¹ãŒå¯¾è±¡ã€‚ + +KeTCindyã®é–¢æ•°ã®ä¸ã«ã¯å‡¦ç†ã«æ™‚é–“ãŒã‹ã‹ã‚‹ã‚‚ã®ãŒã‚る。ãã®å ´åˆï¼Œç‚¹ã‚’ドラッグã™ã‚‹ãªã©ï¼Œç”»é¢ä¸Šã§æ“作をã™ã‚‹ã¨ãã®éƒ½åº¦å†è¨ˆç®—ã•ã‚Œã‚‹ãŸã‚ã«ï¼Œå‹•ããŒéžå¸¸ã«é…ããªã‚‹ã€‚ãã“ã§ï¼Œãƒ‰ãƒ©ãƒƒã‚°ã™ã‚‹ç‚¹ã‚’ã“ã®é–¢æ•°ã§æŒ‡å®šã™ã‚Œã°ï¼Œãƒ‰ãƒ©ãƒƒã‚°ã—ã¦ã„ã‚‹é–“ã¯å‡¦ç†ã•ã‚Œãªã„よã†ã«ã™ã‚‹ã“ã¨ãŒã§ãる。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘点Aを原点近ãã«ã¨ã£ã¦ãŠã，次ã®ã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹ã€‚ + +\verb| Deffun("f(x)",["regional(y)","y=x^3-2*x","y"]);|\\ +\verb| Plotdata("1","f(x)","x",["Num=100"]);|\\ +\verb| Putoncurve("A","gr1");|\\ +\verb| coef=Derivative("f(x)","x",A.x);|\\ +\verb| Defvar(["coef",coef]);|\\ +\verb| Deffun("g(x)",["regional(y)","y=coef*(x-A.x)+A.y","y"]);|\\ +\verb| Plotdata("2","g(x)","x",["Num=1"]);|\\ +\verb| if(!Ptselected(A),|\\ +\verb| Enclosing("1",["gr2","Invert(gr1)"],[A,"nodisp"]);|\\ +\verb| Hatchdata("1",["i"],[["en1"]]);|\\ +\verb| );| + +\vspace{\baselineskip} +\hspace{5mm} 点Aをドラッグä¸ï¼ˆé¸æŠžçŠ¶æ…‹ï¼‰\hspace{5mm} ä»–ã®ç‚¹ã‚’クリックã—ã¦é¸æŠžçŠ¶æ…‹ã‚’解除 + +\hspace{10mm}\includegraphics[bb=0.00 0.00 218.01 204.51,width=40mm]{Fig/ptselected01.pdf} +\hspace{10mm}\includegraphics[bb=0.00 0.00 219.01 204.51,width=40mm]{Fig/ptselected02.pdf} + +\vspace{\baselineskip} +\hypertarget{slider}{} +\item[関数] Slider(å称，ä½ç½®1,ä½ç½®2) +\item[機能] スライダを作æˆã™ã‚‹ +\item[説明] å称㯠"A-C-B" ã®å½¢ã§ï¼Œç«¯ç‚¹ã‚’A,B，スライダ点をCã¨ã—ãŸã‚¹ãƒ©ã‚¤ãƒ€ã‚’作る。 + +端点A,Bã®ä½ç½®ã‚’，ä½ç½®1，ä½ç½®2ã§æŒ‡å®šã™ã‚‹ã€‚ +スライダã«ã‚ˆã‚Šå–å¾—ã—ãŸã„値ã¯ï¼Œç‚¹Cã®åº§æ¨™ï¼ˆãŸã¨ãˆã° C.x）を利用ã™ã‚‹ã€‚ + +点A,B,Cã¯ã‚らã‹ã˜ã‚作図ã—ã¦ãŠãå¿…è¦ã¯ãªã„。既ã«ã‚ã‚‹å ´åˆã¯ãã®ç‚¹ã‚’使ã†ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘2ã¤ã®ã‚¹ãƒ©ã‚¤ãƒ€ã‚’用æ„ã—，$y=a\sin(x-b)$ ã®a,b をインタラクティブã«å¤‰åŒ–ã•ã›ã‚‹ã€‚ + +\verb|Slider("A-C-B",[-5,-2],[5,-2]); | // \verb|C| is movable.\\ +\verb|Slider("D-F-E",[-6,-2],[-6,2]); | // \verb|F| is movable.\\ +\verb|Plotdata("1",Assign("y=a*sin(x-b)",["a",F.y,"b",C.x]),"x"); | + +\vspace{\baselineskip} +\hspace{15mm} +\includegraphics[bb=0.00 0.00 445.02 193.01,height=40mm]{Fig/slider.pdf} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\vspace{\baselineskip} +\hypertarget{sprintf}{} +\item[関数] Sprintf(実数,é•·ã•) +\item[機能] å°æ•°ç‚¹ä»¥ä¸‹ã®é•·ã•ã‚’固定ã—ãŸæ–‡å—列ã«å¤‰æ› +\item[説明] 実数を，å°æ•°ç‚¹nä½ã¾ã§ã®æ•°ã¨ã—ãŸæ–‡å—列ã«å¤‰æ›ã™ã‚‹ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘円周率 + + Sprintf(pi,2) 㯠3.14 を返㙠+ + Sprintf(pi,7) 㯠3.1415927 を返㙠+ +注）pi 㯠Cindyscriptã®äºˆç´„変数ã§ï¼Œå††å‘¨çŽ‡ã‚’表ã™ã€‚\vspace{\baselineskip} + +\vspace{\baselineskip} +\hypertarget{textformat}{} +\item[関数] Textformat(数，æ¡æ•°) +\item[機能] å°æ•°ç‚¹ä»¥ä¸‹ã®æ¡æ•°ã‚’指定ã—ã¦æ•°ã‚’æ–‡å—列化ã™ã‚‹ã€‚ +\item[説明] 第１引数ã¯æ•°ã®ãƒªã‚¹ãƒˆã§ã‚‚よã„。数ã®ãƒªã‚¹ãƒˆã®å ´åˆã¯ï¼Œæˆ»ã‚Šå€¤ã¯ï¼Œå¯¾å¿œã™ã‚‹æ•°å€¤ã‚’指定係数ã«ã—ãŸå¾Œï¼Œãƒªã‚¹ãƒˆã‚’æ–‡å—列化ã™ã‚‹ã€‚Cindyscriptã®çµ„ã¿è¾¼ã¿é–¢æ•°ã«ã‚‚，format()ã¨ã„ã†åŒæ§˜ã®é–¢æ•°ãŒã‚ã‚‹ãŒï¼Œformat() ã¯æ–‡å—列ã®ãƒªã‚¹ãƒˆã‚’è¿”ã™ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘円周率をå°æ•°ç‚¹ä»¥ä¸‹5ä½ã¾ã§ã§æ–‡å—列化ã™ã‚‹ã€‚ + +\hspace{10mm} \verb|Textformat(pi,5);| +\hspace{10mm} \verb|format(pi,5);| + +戻り値ã¯ï¼Œã„ãšã‚Œã‚‚ \verb|"3.14159"| + +\vspace{\baselineskip} +ã€ä¾‹ã€‘第１引数ãŒãƒªã‚¹ãƒˆã®ã¨ãã®ï¼Œformat() ã¨ã®æˆ»ã‚Šå€¤ã®é•ã„。 + +\hspace{10mm} \verb| dt=[1/6,0.5];|\\ +\hspace{10mm} \verb| Textformat(dt,4); | // 戻り値㯠"[ 0.1667 , 0.5 ]" \\ +\hspace{10mm} \verb| format(dt,4); | // 戻り値㯠[ "0.1667" , "0.5" ] \\ + +\vspace{\baselineskip} \hypertarget{texcom}{} -\item[関数]　Texcom(\TeX コード） -\item[機能]　\TeX ã®ã‚³ãƒ¼ãƒ‰ã‚’書ã出㙠-\item[説明]　任æ„ã®\TeX ã®ã‚³ãƒ¼ãƒ‰ã‚’書ã出ã™\\ -　Scilabã®TeXcomã«ãã®ã¾ã¾å¼•ã渡ã—ã¦ã„ã‚‹ã ã‘。\\ +\item[関数] Texcom(\TeX コード） +\item[機能] \TeX ã®ã‚³ãƒ¼ãƒ‰ã‚’書ã出㙠+\item[説明] ä»»æ„ã®\TeX ã®ã‚³ãƒ¼ãƒ‰ã‚’書ã出㙠+\vspace{\baselineskip} \hypertarget{windispg}{} -\item[関数]　Windispg()　ã¾ãŸã¯ã€€Windisp(データã®ãƒªã‚¹ãƒˆï¼‰ -\item[機能]　定義ã•ã‚Œã¦ã„るプãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’Cinderellaç”»é¢ã«é»’ç·šã§æã -\item[説明]　Windispg()ã¯ï¼Œã‚¹ã‚¯ãƒªãƒ—トã®æœ€å¾Œã«ç½®ãã“ã¨ã§ï¼Œå‡ºåŠ›ã•ã‚Œã‚‹éƒ¨åˆ†ã ã‘ãŒé»’ã§æã‹ã‚Œã‚‹ã®ã§ï¼Œå‡ºåŠ›å›³ã‚’確èªã™ã‚‹ã“ã¨ãŒã§ãる。ãŸã ã—，Letter()関数ã§è¡¨ç¤ºã—ãŸç‚¹ã®å称ãªã©ãŒCinderellaã§ä½œå›³ã—ãŸãƒ©ãƒ™ãƒ«ã¨é‡ãªã£ã¦è¡¨ç¤ºã•ã‚Œã¦è¦‹ã«ãããªã‚‹ã“ã¨ã‚‚ã‚る。ã“ã®é–¢æ•°ã‚’実行ã—ãªãã¦ã‚‚出力ã«ã¯å½±éŸ¿ã—ãªã„。\\ -　Windisp(データã®ãƒªã‚¹ãƒˆï¼‰ã¯ï¼ŒScilabã‹ã‚‰ \ketcindy 用ã«å‡ºåŠ›ã•ã‚ŒãŸãƒ•ã‚¡ã‚¤ãƒ«ã‚’ ReadOutData()関数ã§èªã¿è¾¼ã‚“ã ã¨ãã«ï¼Œå¿…è¦ãªãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åˆ—ã ã‘を表示ã™ã‚‹ã®ã«ç”¨ã„る。\\ -　ReadOutData("filename.txt") ã§ãƒ‡ãƒ¼ã‚¿ã‚’èªã¿è¾¼ã‚€ã¨ï¼Œãã®ãƒ‡ãƒ¼ã‚¿ã«å«ã¾ã‚Œã‚‹ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åˆ—ãŒï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«\\ -Outdata of filename.txt : [Gfn,Gdfn,Gh] \\ -ã®ã‚ˆã†ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -ã“ã®ã†ã¡ï¼ŒGfnã¨Ghã ã‘を表示ã™ã‚‹ã®ã§ã‚ã‚Œã°\\ -Windispg([Gfn,Gh]);\\ - ã¨ã™ã‚‹ã€‚引数ãªã—ã§\\ -Windispg();\\ -ã¨ã™ã‚Œã°ã™ã¹ã¦ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åˆ—ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -ãªãŠï¼Œã„ãšã‚Œã®å ´åˆã‚‚，作図ã—ãŸãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚‚åŒæ™‚ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -　作図ã—ãŸå›³ã‚’å…¨ã¦ã§ã¯ãªãé¸æŠžã—ã¦è¡¨ç¤ºã™ã‚‹å ´åˆã¯ï¼Œãれらã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åをリストã«ã—ã¦å¼•æ•°ã¨ã™ã‚‹ã€‚\\ -　ãŸã¨ãˆã°ï¼Œsg1, gr1, crABãŒå®šç¾©ã•ã‚Œã¦ã„ã‚‹ã¨ã，\\ -　　　　\verb|Windispg(["sg1","gr1"]);| +\item[関数] Windispg() ã¾ãŸã¯ Windisp(データã®ãƒªã‚¹ãƒˆï¼‰ +\item[機能] 定義ã•ã‚Œã¦ã„るプãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’Cinderellaç”»é¢ã«é»’ç·šã§æã +\item[説明] Windispg()ã¯ï¼Œã‚¹ã‚¯ãƒªãƒ—トã®æœ€å¾Œã«ç½®ãã“ã¨ã§ï¼Œå‡ºåŠ›ã•ã‚Œã‚‹éƒ¨åˆ†ã ã‘ãŒé»’ã§æã‹ã‚Œã‚‹ã®ã§ï¼Œå‡ºåŠ›å›³ã‚’確èªã™ã‚‹ã“ã¨ãŒã§ãる。ãŸã ã—，Letter()関数ã§è¡¨ç¤ºã—ãŸç‚¹ã®å称ãªã©ãŒCinderellaã§ä½œå›³ã—ãŸãƒ©ãƒ™ãƒ«ã¨é‡ãªã£ã¦è¡¨ç¤ºã•ã‚Œã¦è¦‹ã«ãããªã‚‹ã“ã¨ã‚‚ã‚る。ã“ã®é–¢æ•°ã‚’実行ã—ãªãã¦ã‚‚出力ã«ã¯å½±éŸ¿ã—ãªã„。 + +Windisp(データã®ãƒªã‚¹ãƒˆï¼‰ã¯ï¼ŒRã‹ã‚‰ \ketcindy 用ã«å‡ºåŠ›ã•ã‚ŒãŸãƒ•ã‚¡ã‚¤ãƒ«ã‚’ ReadOutData()関数ã§èªã¿è¾¼ã‚“ã ã¨ãã«ï¼Œå¿…è¦ãªãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åˆ—ã ã‘を表示ã™ã‚‹ã®ã«ç”¨ã„る。 + +ReadOutData("filename.txt") ã§ãƒ‡ãƒ¼ã‚¿ã‚’èªã¿è¾¼ã‚€ã¨ï¼Œãã®ãƒ‡ãƒ¼ã‚¿ã«å«ã¾ã‚Œã‚‹ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åˆ—ãŒï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã« + +\hspace{10mm}Outdata of filename.txt : [Gfn,Gdfn,Gh] + +ã®ã‚ˆã†ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ + +ã“ã®ã†ã¡ï¼ŒGfnã¨Ghã ã‘を表示ã™ã‚‹ã®ã§ã‚れ㰠+ +\hspace{10mm}\verb|Windispg([Gfn,Gh]);| + +ã¨ã™ã‚‹ã€‚引数ãªã—㧠+ +\hspace{10mm}\verb|Windispg();| + +ã¨ã™ã‚Œã°ã™ã¹ã¦ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åˆ—ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ + +ãªãŠï¼Œã„ãšã‚Œã®å ´åˆã‚‚，作図ã—ãŸãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚‚åŒæ™‚ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ + +作図ã—ãŸå›³ã‚’å…¨ã¦ã§ã¯ãªãé¸æŠžã—ã¦è¡¨ç¤ºã™ã‚‹å ´åˆã¯ï¼Œãれらã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åをリストã«ã—ã¦å¼•æ•°ã¨ã™ã‚‹ã€‚ + +ãŸã¨ãˆã°ï¼Œsg1, gr1, crABãŒå®šç¾©ã•ã‚Œã¦ã„ã‚‹ã¨ã， + +\hspace{10mm}\verb|Windispg(["sg1","gr1"]);| + ã¨ã™ã‚Œã°ï¼Œsg1,gr1ã®ã¿ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ -　次ã®ï¼“ã¤ã®é–¢æ•°ã¯ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®æ“作ã§ï¼Œå˜ç‹¬ã§ç”¨ã„ã‚‹ã“ã¨ã‚‚ã§ãã‚‹ãŒï¼Œæ画関数，プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®æ“作関数ã®ã‚ªãƒ—ションã«çµ„ã¿è¾¼ã¾ã‚Œã¦ã„ã‚‹ã®ã§ï¼Œç‰¹æ®Šãªå ´åˆã‚’除ã„ã¦ã¯ã»ã¨ã‚“ã©åˆ©ç”¨ã—ãªã„ã¨æ€ã‚れる。\\ -\hypertarget{drwline}{} -\item[関数]　Drwline(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼‰ -\item[機能]　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼ˆæ–‡å—列）を実線ã§æã -\item[説明]　Scilabã®Drwlineを書ã出ã™\\ -　例：\verb|Drwline("sABCA,1");|\\ -\\ +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\hypertarget{dashline}{} -\item[関数]　Dashline(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼‰ -\item[機能]　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼ˆæ–‡å—åˆ—ï¼‰ã‚’ç ´ç·šã§æã -\item[説明]　Scilabã®Dashlineを書ã出ã™\\ -　例：\verb|Dashline("sABCA");|\\ -\\ -\hypertarget{dottedline}{} -\item[関数]　Dottedline(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼‰ -\item[機能]　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼ˆæ–‡å—列）を点線ã§æã -\item[説明]　Scilabã®Dottedlineを書ã出ã™\\ -　例：\verb|Dottedline("sABCA");|\\ - -\hypertarget{helplist}{} -\item[関数]　helplist() -\item[機能]　ヘルプデータを作æˆã™ã‚‹ -\item[説明]　関数ã®ç°¡å˜ãªèª¬æ˜Žãƒ‡ãƒ¼ã‚¿ã‚’作æˆã™ã‚‹ã€‚\\ -　ã“ã®é–¢æ•°ã¯ï¼ŒInitialization スãƒãƒƒãƒˆã«æ›¸ã。\\ -　\\ - -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\hypertarget{help}{} -\item[関数]　Help(æ–‡å—列） -\item[機能]　関数ã®ä½¿ç”¨ä¾‹ã‚’å–å¾—ã™ã‚‹ -\item[説明]　文å—列ã§å§‹ã¾ã‚‹é–¢æ•°ã®ä½¿ç”¨ä¾‹ã‚’コンソールã«è¡¨ç¤ºã™ã‚‹ã€‚\\ -　　\verb|println(Help("C"));|\\ -　ã®ã‚ˆã†ã«ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ï¼Œæ¬¡ã®ã‚ˆã†ã«ã€ŒCã€ã§å§‹ã¾ã‚‹é–¢æ•°ã®ä½¿ç”¨ä¾‹ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ -\begin{verbatim} -　　CRspline("1",[A,B,C,A]); -　　ChangeTablestyle(["r0c0c3"],["da"]);\ -　　Changestyle("sgAB",["da"]); -　　Changstyle("geoseg3","ax3d"],["notex"]);\ -　　Circledata([A,B,C]); -　　Circledata([A,B],["Rng=[0,pi/2]"]);\ -　　Com2nd("\color[cmyk]{0,0,0,0.5}");\ -　　Crossprod(vec1,vec2); \\ -\end{verbatim} - -　ã•ã‚‰ã«ï¼Œ\\ -　　\verb|println(Help("Ci"));| ã¨ã™ã‚‹ã¨ -\begin{verbatim} -　　Circledata([A,B,C]); -　　Circledata([A,B],["Rng=[0,pi/2]"]); -\end{verbatim} -　ã ã‘ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -　　\verb|println(Help("*"));| -　 ã¨ã™ã‚‹ã¨ï¼Œã™ã¹ã¦ã®é–¢æ•°ã®ä½¿ç”¨ä¾‹ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -　引数ãŒãªã„å ´åˆã¯ï¼Œ\verb|Helplist(Dirlib,["+","+3d"],"helpJâ€);|　ã¨ã¿ãªã•ã‚Œã‚‹ã€‚+ã¯ketcindylibã®æ„味。\\ -\\ +\vspace{\baselineskip} +\hypertarget{viewtex}{} +\item[関数] Viewtex() +\item[機能] \TeX ã®ã‚½ãƒ¼ã‚¹ãƒ•ã‚¡ã‚¤ãƒ«ã‚’書ã出ã™ã€‚引数ãªã—。 +\item[説明] ã‚°ãƒãƒ¼ãƒãƒ«å¤‰æ•°Fheadã§å®šç¾©ã—ãŸãƒ•ã‚¡ã‚¤ãƒ«åã« "main" ã‚’ä»˜åŠ ã—ãŸ\TeX ã®ã‚½ãƒ¼ã‚¹ãƒ•ã‚¡ã‚¤ãƒ«ã¨ãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ«ï¼ˆMacã®å ´åˆã¯ã‚·ã‚§ãƒ«ãƒ•ã‚¡ã‚¤ãƒ«ï¼‰ã‚’作æˆã™ã‚‹ã€‚ + +\vspace{\baselineskip} +\hypertarget{workprocess}{} +\item[関数] Workprocess(） +\item[機能] 作図ã®çµŒéŽã‚’å–å¾—ã™ã‚‹ +\item[説明] 作図ツールを用ã„ãŸä½œå›³ã®çµŒéŽã‚’å–å¾—ã™ã‚‹ã€‚ -\hypertarget{helpkey}{} -\item[関数]　Helpkey(æ–‡å—列） -\item[機能]　関数ã®ä½¿ç”¨ä¾‹ã‚’ã‚ーワードã§æ¤œç´¢ã™ã‚‹ -\item[説明]　文å—列ã«ä¸ŽãˆãŸã‚ーワードã§é–¢æ•°ã®ä½¿ç”¨ä¾‹ã‚’検索ã—，コンソールã«è¡¨ç¤ºã™ã‚‹ã€‚\\ -　例：\verb|Helpkey("ç›´ç·š");|　ã¨ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«æ¬¡ã®ã‚ˆã†ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ -\begin{verbatim} -　　　IntersectsgpL("",[p1,p2],[p3,p4,p5],"draw"); -　　　IntersectsgpL("R","P-Q","A-B-C"); -　　　IntersectsgpL("R","P-Q","A-B-C","put"); - 　　　空間ã®ç›´ç·šã¨å¹³é¢ã®äº¤ç‚¹ -　　　Lineplot("1",[[2,1],[3,3]]); -　　　Lineplot([A,B]); - ã€€ã€€ã€€ç›´ç·šãƒ‡ãƒ¼ã‚¿ã‚’ä½œæˆ -　　　PtonLine("C",pA,pB); - 　　　直線上ã«ç‚¹ã‚’ã¨ã‚‹ -\end{verbatim} -　\\ -\hypertarget{indexall}{} -\item[関数]　Indexall(str1,str2); -\item[機能]　文å—列 str1 ã‹ã‚‰ str2 を検索ã—ãã®ä½ç½®ã‚’ã™ã¹ã¦è¿”ã™ -\item[説明]　Cindyscriptã® indexof() ã®æ‹¡å¼µç‰ˆã€‚indexof() ãŒæœ€åˆã«è¦‹ã¤ã‹ã£ãŸä½ç½®ã‚’è¿”ã™ã®ã«å¯¾ã—，Indexall()ã¯å˜åœ¨ã™ã‚‹ä½ç½®ã‚’ã™ã¹ã¦ãƒªã‚¹ãƒˆã«ã—ã¦è¿”ã™ã€‚\\ -　\\ -例：str="abcabcabc" ã‹ã‚‰ "b"を検索ã™ã‚‹ã€‚\\ -　　\verb|indexof(str,"b")| ã§ã¯ï¼Œ2 ãŒè¿”る。\\ -　　\verb|Indexall(str,"b")| ã§ã¯ï¼Œ[2,5,8]ãŒè¿”る。\\ -　\\ - -\hypertarget{ketcindylogo}{} -\item[関数]　Ketcindylogo(） -\item[機能]　\ketcindy ã®ãƒã‚´ã‚’書ã出㙠-\item[説明]　\ketcindy ã®ãƒã‚´ã‚’表示ã™ã‚‹\TeX ã®ã‚³ãƒžãƒ³ãƒ‰è¡Œã‚’書ã出ã™ã€‚\\ -　内容ã¯\\ -\verb|\|def\verb|\|ketcindy\{\{K\verb|\|kern-.20em \verb|\|lower.5ex\verb|\|hbox\{E\}\verb|\|kern-.125em\{TCindy\}\}\}" -　\\ +\verb|println(Workproccess());| + + ã¨ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ä½œå›³æ‰‹é †ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ + +\vspace{\baselineskip} \hypertarget{op}{} -\item[関数]　Op(n,list or str) -\item[機能]　リストã¾ãŸã¯æ–‡å—列ã‹ã‚‰è¦ç´ を抜ã出㙠-\item[説明]　第２引数ã®ãƒªã‚¹ãƒˆã¾ãŸã¯æ–‡å—列ã®n番目ã®è¦ç´ （文å—）を返ã™ã€‚\\ -Cindyscript㮠アンダーãƒãƒ¼ã®æ¼”ç®—å (list\_n , str\_n) ã¨åŒæ§˜ã€‚Silabã¨ã®æ•´åˆæ€§ã®ãŸã‚è¿½åŠ \\ -　\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage +\item[関数] Op(n,list or str) +\item[機能] リストã¾ãŸã¯æ–‡å—列ã‹ã‚‰è¦ç´ を抜ã出㙠+\item[説明] 第2引数ã®ãƒªã‚¹ãƒˆã¾ãŸã¯æ–‡å—列ã®n番目ã®è¦ç´ （文å—）を返ã™ã€‚ + +Cindyscript㮠アンダーãƒãƒ¼ã®æ¼”ç®—å (list\_n , str\_n) ã¨åŒæ§˜ã€‚ + +\vspace{\baselineskip} +\hypertarget{strsplit}{} +\item[関数] Strsplit(æ–‡å—列 , æ–‡å—) +\item[機能] æ–‡å—列を分解ã™ã‚‹ã€‚ +\item[説明] 第１引数ã®æ–‡å—列を第2引数ã®æ–‡å—ã®ä½ç½®ã§åˆ†è§£ã—ãŸãƒªã‚¹ãƒˆã‚’è¿”ã™ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘æ–‡å—aã§åŒºåˆ‡ã£ã¦åˆ†è§£ã™ã‚‹ã€‚ + +\verb| str="abcadeaf";| \\ +\verb| strL=Strsplit(str,"a"); | // [†â€,â€bcâ€,â€deâ€,â€fâ€] ã‚’è¿”ã™ã€‚ + +åŒæ§˜ã®é–¢æ•°ã«ï¼ŒCindyscriptã® tokenize(æ–‡å—列,æ–‡å—列)ãŒã‚る。tokenize() ã®ç¬¬ï¼’引数ã¯æ–‡å—列や，文å—ã®ãƒªã‚¹ãƒˆã§ã‚‚よã„。 + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + \end{description} \newpage -%第11節 ä»–ã®æ•°å¼å‡¦ç†ã‚½ãƒ•ãƒˆã¨ã®é€£æºã€€============================= +%第11節 ä»–ã®æ•°å¼å‡¦ç†ã‚½ãƒ•ãƒˆã¨ã®é€£æº ============================= \section{ä»–ã®æ•°å¼å‡¦ç†ã‚½ãƒ•ãƒˆãªã©ã¨ã®é€£æº} \subsection{Rã¨ã®é€£æº} -Rã¯ä¸»ã«çµ±è¨ˆè§£æžã®ãŸã‚ã®ã‚½ãƒ•ãƒˆã‚¦ã‚§ã‚¢ã§ï¼Œã€€binormï¼ˆäºŒé …åˆ†å¸ƒï¼‰ï¼Œpois（ãƒã‚¢ã‚½ãƒ³ï¼‰ï¼Œunif（一様分布），chisq（カイ２乗），f（F分布），t（t分布）ãªã©ï¼Œå¤šãã®ç¢ºçŽ‡åˆ†å¸ƒã‚’サãƒãƒ¼ãƒˆã—ã¦ã„る。\\ -æ£è¦åˆ†å¸ƒï¼ˆnormal distribution）ã§ã¯\\ -　dnorm 確率密度関数\\ -　pnorm 分布関数\\ -　qnorm 分布関数ã®é€†é–¢æ•°\\ -　rnorm 乱数発生\\ -ã¨ã„ã†ã‚ˆã†ã«ï¼Œåˆ†å¸ƒåã®é ã«d, p, q, r ã‚’ã¤ã‘ã‚‹ã¨ä¸Šè¨˜ï¼”ã¤ã®é–¢æ•°ãŒå¾—られる。\\ -　å„分布ã«ã¯ï¼Œè‡ªç”±åº¦ãªã©ã®å¼•æ•°ãŒã‚り，ãŸã¨ãˆã°ï¼Œå¹³å‡m, 標準åå·®sã®æ£è¦åˆ†å¸ƒï¼ˆã®å¯†åº¦é–¢æ•°ï¼‰ã¯ã€€ã€€dnorm(x, m ,s )　ã¨ãªã‚‹ã€‚\\ -　\\ -　KeTCindyã§ã¯ï¼Œkc.bat/shã«ã‚ˆã£ã¦ã‚³ãƒžãƒ³ãƒ‰ã‚’Rã«æ¸¡ã—，çµæžœã‚’テã‚ストファイルã§å—ã‘å–る。ã“ã®ã¨ã，Rã¨ã®ã‚„ã‚Šã¨ã‚Šã§ï¼Œæ¬¡ã®ã‚ˆã†ãªãƒ•ã‚¡ã‚¤ãƒ«ãŒä½œæ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã«ä½œæˆã•ã‚Œã‚‹ã€‚\\ -æ‹¡å¼µå r ：r用ã®ãƒ•ã‚¡ã‚¤ãƒ«\\ -æ‹¡å¼µå dat，拡張å txt：データファイル\\ -ã“ã®ãƒ‡ãƒ¼ã‚¿ã®ã‚„ã‚Šå–ã‚Šã«é–¢ã™ã‚‹æ¬¡ã®ã‚ªãƒ—ションãŒã‚る。\\ -　オプションãªã—ã¾ãŸã¯ï¼Œâ€â€ ã®ã¨ã\\ -　　i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る\\ -　　ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれをèªã¿è¾¼ã‚€\\ -　"m" ã®ã¨ã，強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚\\ -　"r" ã®ã¨ã，ã™ã§ã«ã‚るデータファイルをèªã¿è¾¼ã‚€ã€‚\\ -　ã“ã®ã¨ã，ファイルã®èªã¿æ›¸ãã§ä¸å…·åˆãŒã‚ã‚‹ã¨ï¼Œæ•°ç§’ã®å¾Œã€Œ==$>$ file.txt not generated (5 s ) ã€ã®ã‚ˆã†ãªã‚¨ãƒ©ãƒ¼ãƒ¡ãƒƒã‚»ãƒ¼ã‚¸ãŒã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã“ã®ã‚ˆã†ãªå ´åˆã¯ä½œæ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã®è¨å®šãªã©ã‚’確èªã—ã¦ã„ãŸã ããŸã„。ã“ã®å¾…ã¡æ™‚é–“ã«ã¤ã„ã¦ã¯ï¼ŒWaitオプションã§è¨å®šã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ -　\\ + +Rã¯ä¸»ã«çµ±è¨ˆè§£æžã®ãŸã‚ã®ã‚½ãƒ•ãƒˆã‚¦ã‚§ã‚¢ã§ï¼Œ binormï¼ˆäºŒé …åˆ†å¸ƒï¼‰ï¼Œpois（ãƒã‚¢ã‚½ãƒ³ï¼‰ï¼Œunif（一様分布），chisq（カイ2乗），f（F分布），t（t分布）ãªã©ï¼Œå¤šãã®ç¢ºçŽ‡åˆ†å¸ƒã‚’サãƒãƒ¼ãƒˆã—ã¦ã„る。 + + \ketcindy ã§ã¯ï¼Œkc.bat/shã«ã‚ˆã£ã¦ã‚³ãƒžãƒ³ãƒ‰ã‚’Rã«æ¸¡ã—，çµæžœã‚’テã‚ストファイルã§å—ã‘å–る。ã“ã®ã¨ã，Rã¨ã®ã‚„ã‚Šã¨ã‚Šã§ï¼Œæ¬¡ã®ã‚ˆã†ãªãƒ•ã‚¡ã‚¤ãƒ«ãŒä½œæ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã«ä½œæˆã•ã‚Œã‚‹ã€‚ + +æ‹¡å¼µå r ：r用ã®ãƒ•ã‚¡ã‚¤ãƒ« + +æ‹¡å¼µå dat，拡張å txt：データファイル + +ã“ã®ãƒ‡ãƒ¼ã‚¿ã®ã‚„ã‚Šå–ã‚Šã«é–¢ã™ã‚‹æ¬¡ã®ã‚ªãƒ—ションãŒã‚る。 + + オプションãªã—ã¾ãŸã¯ï¼Œâ€â€ ã®ã¨ã + + i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る + + ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれをèªã¿è¾¼ã‚€ + + "m" ã®ã¨ã，強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚ + + "r" ã®ã¨ã，ã™ã§ã«ã‚るデータファイルをèªã¿è¾¼ã‚€ã€‚ + +\vspace{\baselineskip} \begin{description} + \hypertarget{boxplot}{} -\item[関数]　Boxplot(åå‰,データ,åž‚ç›´ä½ç½®,高ã•,option) -\item[機能]　箱ã²ã’図をæã -\item[説明]　データã¯ï¼Œç›´æŽ¥çš„ã«å¤‰æ•°ã§æ¸¡ã™å ´åˆã¨ãƒ•ã‚¡ã‚¤ãƒ«ã‹ã‚‰èªã¿è¾¼ã‚€å ´åˆãŒã‚る。\\ -例：乱数ã§ä½œæˆã—ãŸï¼•æœªæº€ã®å®Ÿæ•°ã®ãƒ‡ãƒ¼ã‚¿ã‚’ç®±ã²ã’図ã«ã™ã‚‹ã€‚\\ +\item[関数] Boxplot(åå‰,データ,åž‚ç›´ä½ç½®,ç®±ã®é«˜ã•,option) +\item[機能] ç®±ã²ã’図をæã +\item[説明] データã¯ï¼Œãƒªã‚¹ãƒˆã§æ¸¡ã™å ´åˆã¨ãƒ•ã‚¡ã‚¤ãƒ«åを渡ã—ã¦ãƒ•ã‚¡ã‚¤ãƒ«ã‹ã‚‰èªã¿è¾¼ã‚€å ´åˆãŒã‚る。データファイル㯠csv å½¢å¼ã¨ã™ã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘乱数ã§ä½œæˆã—ãŸ5未満ã®å®Ÿæ•°ã®ãƒ‡ãƒ¼ã‚¿ã‚’ç®±ã²ã’図ã«ã™ã‚‹ã€‚ + \begin{verbatim} -　　dt1=apply(1..100,5*random()); -　　Boxplot("1",dt1,1,1/2); + dt1=apply(1..100,5*random()); + Boxplot("1",dt1,1,1/2); \end{verbatim} -　\\ -例：外部ファイルã¨ã—ã¦ç”¨æ„ã—ãŸãƒ‡ãƒ¼ã‚¿ã‚’èªã¿è¾¼ã‚“ã§ç®±ã²ã’図ã«ã™ã‚‹ã€‚データファイルã¯csvå½¢å¼ã¨ã™ã‚‹ã€‚\\ +\vspace{\baselineskip} +\hspace{20mm} \input{Fig/boxplot01} + +\vspace{\baselineskip} +ã€ä¾‹ã€‘外部ファイルã¨ã—ã¦ç”¨æ„ã—ãŸãƒ‡ãƒ¼ã‚¿ã‚’èªã¿è¾¼ã‚“ã§ç®±ã²ã’図ã«ã™ã‚‹ã€‚ \begin{verbatim} -　　Boxplot("2","datafile.csv",3,1/2); -　　Boxplot("1",dt1,1,1/2); + Boxplot("2","datafile.csv",3,1/2); \end{verbatim} -　\\ -　複数列ã‹ã‚‰æˆã‚‹csvファイルをèªã¿è¾¼ã‚€ã«ã¯ï¼ŒReadcsvを使ã†ã€‚csvファイルã¯ï¼Œketworkフォルダã«å…¥ã‚Œã¦ãŠã。戻り値ã¯èªã¿è¾¼ã‚“ã ファイル。\\ -　データã®å€¤ã‚’ç”»é¢ã«å…¥ã‚‹ã‚ˆã†ã«èª¿ç¯€ã™ã‚‹ã«ã¯ï¼Œæ¬¡ã®ã‚ˆã†ã«ãƒªã‚¹ãƒˆã®è¨ˆç®—を利用ã™ã‚Œã°ã‚ˆã„。\\ - 　ã¾ãŸï¼ŒFramedata2()，Rulerscale() を併用ã™ã‚‹ã“ã¨ã§ç›®ç››ã‚’入れるã“ã¨ãŒã§ãる。Framedata2() ã®ãŸã‚ã«ï¼Œè¡¨ç¤ºé ˜åŸŸã®å¯¾è§’点A,Bã‚’Cinderellaã®ä½œå›³ãƒ„ールã§ä½œå›³ã—ã¦ãŠã。\\ + +\vspace{\baselineskip} +複数列ã‹ã‚‰æˆã‚‹csvファイルをèªã¿è¾¼ã‚€ã«ã¯ï¼ŒReadcsvを使ã†ã€‚csvファイルã¯ï¼Œä½œæ¥ãƒ•ã‚©ãƒ«ãƒ€ï¼ˆ åˆæœŸè¨å®šã¯ fig ）ã«å…¥ã‚Œã¦ãŠã。戻り値ã¯èªã¿è¾¼ã‚“ã ファイル。 + +データã®å€¤ã‚’ç”»é¢ã«å…¥ã‚‹ã‚ˆã†ã«èª¿ç¯€ã™ã‚‹ã«ã¯ï¼Œdt1/20 ã®ã‚ˆã†ã«ã—ã¦ãƒªã‚µã‚¤ã‚ºã™ã‚‹ã€‚ + +ã¾ãŸï¼ŒFramedata()，Rulerscale() を併用ã™ã‚‹ã“ã¨ã§ç›®ç››ã‚’入れるã“ã¨ãŒã§ãる。Framedata() ã®ãŸã‚ã«ï¼Œè¡¨ç¤ºé ˜åŸŸã®å¯¾è§’点A,Bã‚’Cinderellaã®ä½œå›³ãƒ„ールã§ä½œå›³ã—ã¦ãŠã。 + \begin{verbatim} -　　data=Readcsv("datafile.csv"); -　　dt1=apply(data,#_1); -　　dt2=apply(data,#_2); -　　Boxplot("1",dt1/20,1,1/2); -　　Boxplot("2",dt2/20,3,1/2); -　　Framedata2("1",[A,B]); -　　Rulerscale(A,["r",0,6,1],["f",1,"\mbox{dt1}",3,"\mbox{dt2}"]); + data=Readcsv("datafile.csv"); + dt1=apply(data,#_1); + dt2=apply(data,#_2); + Boxplot("1",dt1/20,1,1/2); + Boxplot("2",dt2/20,3,1/2); + Framedata("1",[A,B],["corner"]); + Rulerscale(A,["r",0,6,1],["f",1,"\mbox{dt1}",3,"\mbox{dt2}"]); \end{verbatim} -　\\ -　　　　　\input{Fig/boxplot}\\ +%\vspace{\baselineskip} + \begin{center} \input{Fig/boxplot} \end{center} + +注）一度実行ã—ãŸå¾Œï¼Œãƒ‡ãƒ¼ã‚¿ã‚’書ãç›´ã™ã¨ï¼Œå›³ãŒæ›´æ–°ã•ã‚Œãªã„ã®ã§ï¼Œ"m" オプションをã¤ã‘㦠+ Boxplot("1",dt1/20,1,1/2,["m"]); ã¨ã™ã‚‹ã¨ï¼Œå›³ãŒæ›´æ–°ã•ã‚Œã‚‹ã€‚データを書ã出ã™ã¨ãã¯ï¼Œã‚‚ã†ä¸€åº¦ "m" オプションをã¯ãšã—ã¦å®Ÿè¡Œã—ã¦ã‹ã‚‰ Figure ボタンを押ã™ã€‚ã“ã‚Œã¯ï¼Œãƒ‡ãƒ¼ã‚¿ã®ä½œæˆã‚¿ã‚¤ãƒŸãƒ³ã‚°ã®é–¢ä¿‚。 -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{rfun}{} +\item[関数] Rfun(name,コマンド, 引数, option) +\item[機能] Rã®1ã¤ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’実行ã—ã¦çµæžœã‚’返㙠+\item[説明] ãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ« kc.bat / シェルファイル kc.sh を利用ã—ã¦Rã¨ãƒ‡ãƒ¼ã‚¿ã‚’ã‚„ã‚Šå–ã‚Šã—，計算çµæžœã‚’å–å¾—ã™ã‚‹ã€‚çµæžœã¯ï¼Œå¤‰æ•° R+name ã«å…¥ã‚Šï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ã‚‚表示ã•ã‚Œã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘Rを用ã„ã¦æ¨™æº–æ£è¦åˆ†å¸ƒã‹ã‚‰10個ã®ä¹±æ•°ã‚’発生ã—，戻り値ã‹ã‚‰å¹³å‡å€¤ã¨æ¨™æº–å差を求ã‚ã¦ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã™ã‚‹ã€‚ +\begin{verbatim} + Rfun("1","rnorm",[10]); + nx=length(R1); + mx=sum(R1)/nx; + sx=sqrt(R1*R1/nx-mx^2); + println("å¹³å‡ï¼š"+format(mx,4)+" 標準å差："+format(sx,4)); +\end{verbatim} \hypertarget{calcbyr}{} -\item[関数]　CalcbyR(変数å,コマンド列，option) -\item[機能]　Rã®ã‚³ãƒžãƒ³ãƒ‰ã‚’実行ã—ã¦çµæžœã‚’返㙠-\item[説明]　ãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ« kc.bat / シェルファイル kc.sh を利用ã—ã¦Rã¨ãƒ‡ãƒ¼ã‚¿ã‚’ã‚„ã‚Šå–ã‚Šã—，計算çµæžœã‚’å–å¾—ã™ã‚‹ã€‚\\ -　\\ -例：Rを用ã„ã¦æ¨™æº–æ£è¦åˆ†å¸ƒã‹ã‚‰10個ã®ä¹±æ•°ã‚’発生ã—，平å‡å€¤ã¨æ¨™æº–å差を求ã‚ã¦ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã™ã‚‹ã€‚ -\begin{verbatim} -　　cmdL=[ "=rnorm",[10] ]; -　　CalcbyR("dt",cmdL); -　　nx=length(dt); -　　mx=sum(dt)/nx; -　　sx=sqrt(dt*dt/nx-mx^2); -　　println("データ："+dt); -　　println("å¹³å‡ï¼š"+format(mx,4)+"　　標準å差："+format(sx,4)); -\end{verbatim} -１行目ã®ã€€cmdL=[ "=rnorm",[10] ]　ã§ï¼Œæ¨™æº–æ£è¦åˆ†å¸ƒã‹ã‚‰10個ã®ä¹±æ•°ã‚’発生ã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰åˆ—を定義。\\ -２行目ã§ï¼ŒRã§è¨ˆç®—ã—ãŸçµæžœãŒãƒªã‚¹ãƒˆ dt ã«å…¥ã‚‹ã€‚\\ -　\\ -例：Rを用ã„ã¦N(50,$5^2$)ã‹ã‚‰10個ã®ä¹±æ•°ã‚’発生ã—，平å‡ã¨ä¸å分散もRã§è¨ˆç®—ã—ã¦ãã®çµæžœã‚’コンソールã«è¡¨ç¤ºã™ã‚‹ã€‚ -\begin{verbatim} -　　cmdL=[ -　　　 "tmp1=rnorm",[10,50,5], -　　　 "tmp2=mean",["tmp1"], -　　　 "tmp3=var",["tmp1"], -　　　 "=c(tmp1,tmp2,tmp3)",[] -　　]; -　　CalcbyR("rd",cmdL); -　　dt=rd_(1..(length(rd)-2)); -　　mx=rd_(-2); -　　vx=rd_(-1); -　　println("データ："+dt); -　　println("å¹³å‡ï¼š"+format(mx,4)+"　　ä¸å分散："+format(vx,4)); -\end{verbatim} -　CalcbyR()ã«ã‚ˆã£ã¦ï¼Œãƒ‡ãƒ¼ã‚¿ã¨å¹³å‡ï¼Œä¸å分散ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆãŒä½œæˆã•ã‚Œã‚‹ã®ã§ï¼Œmxã«å¹³å‡ï¼Œvxã«ä¸å分散を代入ã—ã¦ã„る。\verb|rd_(-1)| ã¯ï¼Œãƒªã‚¹ãƒˆ rd ã®æœ«å°¾ã®è¦ç´ 。\\ -　\\ -例：Ｒã§ãƒã‚¢ã‚½ãƒ³åˆ†å¸ƒã‹ã‚‰200個ã®ä¹±æ•°ã‚’ã¨ã‚Šï¼Œæ¨™æœ¬å¹³å‡ã®åˆ†å¸ƒã®æ§˜åï¼åˆ†æ•£ãŒå°ã•ããªã£ã¦ï¼Œæ£è¦åˆ†å¸ƒã«è¿‘ã¥ã„ã¦ã„る様åï¼ã‚’ヒストグラムã§è¦‹ã‚‹ã€‚ -\begin{verbatim} -　　cmdL=[ -　　 "tmp1=rpois",[200,5], -　　 "tmp2=mean",["tmp1"], -　　 "tmp3=var",["tmp1"], -　 　 "=c(tmp2,tmp3,tmp1)",[] -　　]; -　　CalcbyR("rd",cmdL); -　　dt=rd_(3..length(rd)); -　　nn=length(dt); -　　mx=rd_1; -　　vx=rd_2*(nn-1)/nn; -　　sx=sqrt(vx); -　　println(dt); -　　println(["m="+format(mx,4),"v="+format(vx,4)]); -　　Setscaling(1/5); -　　Histplot("1",dt,["Breaks=seq(0,14,1)","dr,0.5"]); -\end{verbatim} -　\\ -　　　　　\input{Fig/poison01}\\ -　\\ -例：ãƒã‚¢ã‚½ãƒ³åˆ†å¸ƒã§ä¹±æ•°ã‚’2000個発生ã•ã›ï¼Œ10個ãšã¤ã®å¹³å‡ã‚’ï¼²ã§è¨ˆç®—ã—， -\begin{verbatim} -　　cmdL=[ -　　 "tmp1=rpois",[2000,5], -　　 "tmp2=c()",[], -　　 "for(k in 1:200){",[], -　　 " tmp=tmp1[(10*(k-1)+1):(10*k)]",[], -　　 " tmp2=c(tmp2,mean(tmp))",[], -　　 "}",[], -　　 "=tmp2",[] -　　]; -　　CalcbyR("rd2",cmdL); -　　Setscaling(1/10); -　　Histplot("2",rd2); -\end{verbatim} - -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\item[関数] CalcbyR(変数å,コマンド列，option) +\item[機能] Rã®ã‚³ãƒžãƒ³ãƒ‰ã‚’実行ã—ã¦çµæžœã‚’返㙠+\item[説明] ãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ« kc.bat / シェルファイル kc.sh を利用ã—ã¦Rã¨ãƒ‡ãƒ¼ã‚¿ã‚’ã‚„ã‚Šå–ã‚Šã—，計算çµæžœã‚’å–å¾—ã™ã‚‹ã€‚ + + コマンド列ã¯ï¼Œ"戻り値=コマンド"，[引数] ã®2ã¤ã‚’セットã¨ã—ã¦ä¸¦ã¹ã‚‹ã€‚ + + 最後ã®è¡Œã®çµæžœãŒæˆ»ã‚Šå€¤ã¨ã—ã¦ç¬¬ï¼‘引数ã®å¤‰æ•°åã«ä»£å…¥ã•ã‚Œã‚‹ã€‚"戻り値1::戻り値2・・",[] ã®å½¢ï¼ˆæˆ»ã‚Šå€¤1，戻り値2・・ã¯å„コマンドã®æˆ»ã‚Šå€¤ï¼‰ã§ã‚³ãƒžãƒ³ãƒ‰ã‚’書ãã¨ï¼Œæˆ»ã‚Šå€¤1,・・ã®ãƒªã‚¹ãƒˆã¨ãªã‚‹ã€‚戻り値ãŒä¸€ã¤ã®å ´åˆã¯å®Ÿæ•°ã€‚"=値",[] ã®å½¢ã®å ´åˆï¼Œã€Œå€¤ã€ãŒãã®ã¾ã¾æˆ»ã‚Šå€¤ã¨ãªã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘Rを用ã„ã¦N(50,$5^2$)ã‹ã‚‰10個ã®ä¹±æ•°ã‚’発生ã—，平å‡ã¨ä¸å分散もRã§è¨ˆç®—ã—ã¦ãã®çµæžœã‚’コンソールã«è¡¨ç¤ºã™ã‚‹ã€‚ +\begin{verbatim} + cmdL=[ + "tmp1=rnorm",[10,50,5], + "tmp2=mean",["tmp1"], + "tmp3=var",["tmp1"], + "tmp1::tmp2::tmp3",[] + ]; + CalcbyR("rd",cmdL); + dt=rd_1; + mx=rd_2; + vx=rd_3; + println("データ："+dt); + println("å¹³å‡ï¼š"+format(mx,4)+" ä¸å分散："+format(vx,4)); +\end{verbatim} + CalcbyR()ã«ã‚ˆã£ã¦ï¼Œãƒ‡ãƒ¼ã‚¿ã¨å¹³å‡ï¼Œä¸å分散ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆãŒä½œæˆã•ã‚Œã‚‹ã®ã§ï¼Œmxã«å¹³å‡ï¼Œvxã«ä¸å分散を代入ã—ã¦ã„る。\verb|rd_(-1)| ã¯ï¼Œãƒªã‚¹ãƒˆ rd ã®æœ«å°¾ã®è¦ç´ 。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘ï¼²ã§ãƒã‚¢ã‚½ãƒ³åˆ†å¸ƒã‹ã‚‰200個ã®ä¹±æ•°ã‚’ã¨ã‚Šï¼Œæ¨™æœ¬å¹³å‡ã®åˆ†å¸ƒã®æ§˜åï¼åˆ†æ•£ãŒå°ã•ããªã£ã¦ï¼Œæ£è¦åˆ†å¸ƒã«è¿‘ã¥ã„ã¦ã„る様åï¼ã‚’ヒストグラムã§è¦‹ã‚‹ã€‚分散ã¯ï¼²ã§æ±‚ã‚ãŸä¸å分散㫠(n-1)/n ã‚’ã‹ã‘ã¦å†è¨ˆç®—ã—ã¦ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã™ã‚‹ã€‚ +\begin{verbatim} + cmdL=[ + "tmp1=rpois",[200,5], + "tmp2=mean",["tmp1"], + "tmp3=var",["tmp1"], + "=c(tmp2,tmp3,tmp1)",[] + ]; + CalcbyR("rd",cmdL); + dt=rd_(3..length(rd)); + n=length(dt); + mx=rd_1; + vx=rd_2*(n-1)/n; + sx=sqrt(vx); + println(dt); + println(["m="+format(mx,4),"v="+format(vx,4)]); + Setscaling(1/5); + Histplot("1",dt,["Breaks=seq(0,14,1)","dr,0.5"]); +\end{verbatim} +\vspace{\baselineskip} + \begin{center} \input{Fig/poison01} \end{center} +\vspace{\baselineskip} +ã€ä¾‹ã€‘ãƒã‚¢ã‚½ãƒ³åˆ†å¸ƒã§ä¹±æ•°ã‚’2000個発生ã•ã›ï¼Œ10個ãšã¤ã®å¹³å‡ã‚’ï¼²ã§è¨ˆç®—ã—，ヒストグラムを作る。 +\begin{verbatim} + cmdL=[ + "tmp1=rpois",[2000,5], + "tmp2=c()",[], + "for(k in 1:200){",[], + " tmp=tmp1[(10*(k-1)+1):(10*k)]",[], + " tmp2=c(tmp2,mean(tmp))",[], + "}",[], + "=tmp2",[] + ]; + CalcbyR("rd2",cmdL); + Setscaling(1/10); + Histplot("2",rd2); +\end{verbatim} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} \hypertarget{histplot}{} -\item[関数]　Histplot(name,data,option) -\item[機能]　Rを利用ã—ã¦ãƒ’ストグラムをæã -\item[説明]　dataã¯ãƒªã‚¹ãƒˆã«ã—ã¦ä½œæˆã™ã‚‹ã‹ï¼Œå¤–部ファイルã‹ã‚‰Readcsv()ã§èªã¿è¾¼ã‚€ã€‚\\ -階級範囲（ブレークãƒã‚¤ãƒ³ãƒˆï¼‰ã¯ï¼Œé€šå¸¸ã‚¹ã‚¿ãƒ¼ã‚¸ã‚§ã‚¹ã®å…¬å¼ã«ã‚ˆã‚‹ãŒï¼Œã‚ªãƒ—ションã§ï¼Œ\\ -　　　"breaks=[0,10,20,30,40,50,60,70,80,90,100]"\\ -ãªã©ã¨æŒ‡å®šã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ -　ã“ã®ä»–ã®ã‚ªãƒ—ションã¯\\ -　　"Den=yes/no"：密度ã®æŒ‡å®šï¼ˆåˆæœŸå€¤ã¯ no）\\ -　　"Rel=yes/no"：相対度数ã«ã™ã‚‹/ã—ãªã„（åˆæœŸå€¤ã¯ no）\\ -　\\ -例：csvファイル（datafile.csv）をèªã¿è¾¼ã¿ï¼Œãƒ’ストグラムを作る。Framedata2() 㨠Rulerscale()を併用ã—ã¦ï¼Œç›®ç››ä»˜ãã®æž ã®ä¸ã«è¡¨ç¤ºã™ã‚‹ã€‚è¡¨ç¤ºæž ã®å¯¾è§’点A,Bã¯Cinderellaã®ä½œå›³ãƒ„ールã§ä½œå›³ã—ã¦ãŠã。 -\begin{verbatim} -　　Addax(0); -　　Setscaling(5); -　　Setunitlen("0.6mm"); -　　data=Readcsv("datafile.csv"); -　　Histplot("1",data,[""]); -　　Framedata2("1",[A,B]); -　　Rulerscale(A,["r",0,100,10],["r",0,15,5]); -\end{verbatim} -　　\input{Fig/histgram}\\ - -２行目ã¨ï¼“行目ã¯ï¼Œãƒ‡ãƒ¼ã‚¿ã«åˆã‚ã›ã¦ç¸¦æ–¹å‘を５å€ã«ã—，TeXã®å˜ä½é•·ã‚’0.6mmã«ã—ã¦ã„る。\\ -Den,Rel オプションをyes ã«ã—ãŸã¨ãã¯ï¼ŒSetscaling(100)ãら　ã„ã«ã™ã‚‹ã®ãŒã‚ˆã„。\\ -csvファイルãŒè¤‡æ•°ã®ãƒ‡ãƒ¼ã‚¿ã‹ã‚‰ãªã‚‹å ´åˆã¯ï¼Œ\\ -　　\verb|dt1=apply(rc1,#_1);| -ã¨ã—ã¦ï¼Œãƒªã‚¹ãƒˆã®ç¬¬ï¼‘è¦ç´ ã‚’å–å¾—ã™ã‚‹ã€‚第２è¦ç´ ã®ãƒ’ストグラムã§ã‚れ㰠\verb|#_2| ã¨ã™ã‚‹ã€‚\\ -　\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\item[関数] Histplot(name,data,option) +\item[機能] Rを利用ã—ã¦ãƒ’ストグラムをæã +\item[説明] dataã¯ãƒªã‚¹ãƒˆã«ã—ã¦ä½œæˆã™ã‚‹ã‹ï¼Œå¤–部ファイルã‹ã‚‰Readcsv()ã§èªã¿è¾¼ã‚€ã€‚ + +階級境界値（ブレークãƒã‚¤ãƒ³ãƒˆï¼‰ã¯ï¼Œè‡ªå‹•çš„ã«è¨å®šã•ã‚Œã‚‹ï¼ˆã‚¹ã‚¿ãƒ¼ã‚¸ã‚§ã‚¹ã®å…¬å¼ã«ã‚ˆã‚‹ï¼‰ãŒï¼Œã‚ªãƒ—ションã§ï¼Œ + +\verb|"breaks=[0,10,20,30,40,50,60,70,80,90,100]"| + +ãªã©ã¨æŒ‡å®šã™ã‚‹ã“ã¨ã‚‚ã§ãる。 + + ã“ã®ä»–ã®ã‚ªãƒ—ション㯠+ + "Den=yes/no"：密度ã®æŒ‡å®šï¼ˆåˆæœŸå€¤ã¯ no） + + "Rel=yes/no"：相対度数ã«ã™ã‚‹/ã—ãªã„（åˆæœŸå€¤ã¯ no） + +\vspace{\baselineskip} +ã€ä¾‹ã€‘csvファイル（datafile.csv）をèªã¿è¾¼ã¿ï¼Œãƒ’ストグラムを作る。Framedata() 㨠Rulerscale()を併用ã—ã¦ï¼Œç›®ç››ä»˜ãã®æž ã®ä¸ã«è¡¨ç¤ºã™ã‚‹ã€‚è¡¨ç¤ºæž ã®å¯¾è§’点A,Bã¯Cinderellaã®ä½œå›³ãƒ„ールã§ä½œå›³ã—ã¦ãŠã。 +\begin{verbatim} + Addax(0); + Setscaling(5); + Setunitlen("0.6mm"); + data=Readcsv("datafile.csv"); + Histplot("1",data,[""]); + Framedata("1",[A,B],["corner"]); + Rulerscale(A,["r",0,100,10],["r",0,15,5]); +\end{verbatim} + \begin{center} \input{Fig/histgram} \end{center} + +2行目ã¨3行目ã¯ï¼Œãƒ‡ãƒ¼ã‚¿ã«åˆã‚ã›ã¦ç¸¦æ–¹å‘ã‚’5å€ã«ã—，TeXã®å˜ä½é•·ã‚’0.6mmã«ã—ã¦ã„る。 + +Den,Rel オプションをyes ã«ã—ãŸã¨ãã¯ï¼ŒSetscaling(100)ãらã„ã«ã™ã‚‹ã®ãŒã‚ˆã„。 + +csvファイルãŒè¤‡æ•°ã®ãƒ‡ãƒ¼ã‚¿ã‹ã‚‰ãªã‚‹å ´åˆã¯ï¼Œ + + \verb|dt1=data_1;| +ã¨ã—ã¦ï¼Œãƒªã‚¹ãƒˆã®ç¬¬ï¼‘è¦ç´ ã‚’å–å¾—ã™ã‚‹ã€‚第2è¦ç´ ã®ãƒ’ストグラムã§ã‚れ㰠\verb|data_2| ã¨ã™ã‚‹ã€‚ + +\vspace{\baselineskip} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} \hypertarget{plotdatar}{} -\item[関数]　PlotdataR(name,å¼,変数) -\item[機能]　Rã®é–¢æ•°ã®ã‚°ãƒ©ãƒ•ã‚’æã -\item[説明]　Cindyscriptã®çµ„ã¿è¾¼ã¿é–¢æ•°ã«ã¯ãªã„関数ã®ã‚°ãƒ©ãƒ•ã‚’Rを利用ã—ã¦æã。\\ +\item[関数] PlotdataR(name,å¼,変数) +\item[機能] Rã®é–¢æ•°ã®ã‚°ãƒ©ãƒ•ã‚’æã +\item[説明] Cindyscriptã®çµ„ã¿è¾¼ã¿é–¢æ•°ã«ã¯ãªã„関数ã®ã‚°ãƒ©ãƒ•ã‚’Rを利用ã—ã¦æã。 -例：平å‡5, 標準åå·®2ã®æ£è¦åˆ†å¸ƒã®å¯†åº¦é–¢æ•°ã¨åˆ†å¸ƒé–¢æ•°ã®ã‚°ãƒ©ãƒ•ã‚’æã。 +\vspace{\baselineskip} +ã€ä¾‹ã€‘å¹³å‡5, 標準åå·®2ã®æ£è¦åˆ†å¸ƒã®å¯†åº¦é–¢æ•°ã¨åˆ†å¸ƒé–¢æ•°ã®ã‚°ãƒ©ãƒ•ã‚’æã。 \begin{verbatim} -　　PlotdataR(“1â€, “dnorm(x,5,2)â€, â€x=[0,10]â€); -　　PlotdataR(“2â€, â€pnorm(x,5,2)â€, â€x=[0,10]â€); + PlotdataR(“1â€, “dnorm(x,5,2)â€, â€x=[0,10]â€); + PlotdataR(“2â€, â€pnorm(x,5,2)â€, â€x=[0,10]â€); \end{verbatim} -例：標準æ£è¦åˆ†å¸ƒã®ã‚°ãƒ©ãƒ•ä¸Šã®ç‚¹ã¨x軸をçµã‚“ã 線分をæã。\\ +\hspace{20mm} \input{Fig/plotdatar1} + +ã€ä¾‹ã€‘標準æ£è¦åˆ†å¸ƒã®ã‚°ãƒ©ãƒ•ä¸Šã®ç‚¹ã¨x軸をçµã‚“ã 線分をæã。 + 点A,Bã¯Cinderellaã®ä½œå›³ãƒ„ールã§ä½œå›³ã—ã¦ãŠã，点Aをグラフ上ã®ãŠã‚ˆãã®ä½ç½®ã«ç½®ã„ã¦ã‹ã‚‰å®Ÿè¡Œã™ã‚‹ã€‚ \begin{verbatim} -　　PlotdataR("1","dnorm(x)","x=[-5,5]"); -　　Putoncurve("A","grR1",[-3,3]); -　　Putpoint("B",[A.x,0]); -　　Listplot("1",[A,B]); -\end{verbatim} -２行目ã®æœ€å¾Œã®å¼•æ•°ã®[-3,3]ã¯ï¼Œãã®ç¯„囲を動ã‹ã™ã“ã¨ã‚’æ„味ã™ã‚‹ã€‚\\ -Aã¯ã‚°ãƒ©ãƒ•ä¸Šã‚’å‹•ã‹ã™ã“ã¨ãŒã§ãã¦ï¼ŒBã¯ãã‚Œã«ä¼´ã£ã¦å‹•ã。ãŸã ã—，少ã—å‹•ã‹ã™åº¦ã« ãƒãƒƒãƒ/シェル ファイルを実行ã™ã‚‹ã®ã§ï¼Œç…©é›‘ãªå ´åˆã¯ï¼ŒPlotdata() ã®è¡Œã‚’コメント化ã—ã¦ã‹ã‚‰ç‚¹Aã‚’å‹•ã‹ã—ãŸã‚ã¨å†å®Ÿè¡Œã™ã‚‹ã¨ã‚ˆã„。\\ -　\\ -例：上ã¨åŒæ§˜ã§ï¼Œx軸上ã®ç‚¹ã‚’自由点Aã¨ã—，曲線上ã«Bã‚’ç½®ã。 -\begin{verbatim} -　　PlotdataR("1","dnorm(x)","x=[-5,5]"); -　　PlotdataR("1","dnorm(x)","x=[-5,5]"); -　　A.xy=[A.x,0]; -　　Lineplot("1",[A,A+[0,1]],["nodisp"]); -　　Putintersect("B","grR1","ln1"); -　　Listplot("1",[A,B]); -\end{verbatim} -　\\ -例：å‰ã®ä¾‹ã®ã‚°ãƒ©ãƒ•ã§ï¼ŒABã®å·¦å´ã«Shadeã‚’ã‹ã‘，Shadeã®éƒ¨åˆ†ã®é¢ç©ã‚’求ã‚る。Pã®å€¤ã‚’表示ã™ã‚‹ä½ç½®ã«ï¼ŒCinderellaã®ä½œå›³ãƒ„ールã§ç‚¹Cã‚’ã¨ã£ã¦ãŠã。 -\begin{verbatim} -　　tmp1=[0.2,0,0,0]; -　　tmp2=Colorcmyk2rgb(tmp1); -　　Setcolor(tmp1); -　　Setcolor([0.2,0,0,0]); -　　Shade(["en1"],["Color="+text(tmp2)]); -　　Setcolor("black"); -　　PlotdataR("1","dnorm(x)","x=[-5,5]",["Num=100"]); -　　Putpoint("A",[0,0],[A.x,0]); -　　Lineplot("1",[A,A+[0,1]],["nodisp"]); -　　Putintersect("B","grR1","ln1"); -　　Listplot("1",[A,B]); -　　Listplot("2",[[-5,0],[5,0]],"nodisp"); -　　Enclosing("1",["Invert(grR1)","sg2","sg1"],[B,"notex"]); -　　tmp=0.5+Integrate("grR1",[0,A.x]); -　　Expr([A,"s",text(A.x),C,"e","P="+text(tmp)]); -\end{verbatim} -　\\ -　　\input{Fig/rshade}\\ -　\\ -Shade() ã¯ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’定義ã—ãªã„ã®ã§ï¼Œå…ˆã«æ›¸ã„ã¦ãŠãã¨å¡—ã£ã¦ã‹ã‚‰ç·šã‚’æãã®ã§ï¼Œã«ã˜ã¿ãŒãªããã‚Œã„ã«ä»•ä¸ŠãŒã‚‹ã€‚（"en1"ã¯Enclosing("1"・・)ã§ã§ãるプãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼‰\\ -　\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + PlotdataR("1","dnorm(x)","x=[-5,5]"); + PutonCurve("A","grR1",[-3,3]); + Putpoint("B",[A.x,0]); + Listplot("1",[A,B]); +\end{verbatim} +2行目ã®æœ€å¾Œã®å¼•æ•°ã®[-3,3]ã¯ï¼Œãã®ç¯„囲を動ã‹ã™ã“ã¨ã‚’æ„味ã™ã‚‹ã€‚ -\hypertarget{plotdiscr}{} -\item[関数]　PlotdiscR(name,å¼,変数) -\item[機能]　Rを利用ã—ã¦é›¢æ•£åž‹ã®ã‚°ãƒ©ãƒ•ã‚’æã -\item[説明]　dbinom ï¼ˆäºŒé …åˆ†å¸ƒï¼‰ï¼Œdpois（ãƒã‚¢ã‚½ãƒ³åˆ†å¸ƒï¼‰ï¼Œdgeom（幾何分布）ãªã©é›¢æ•£åž‹ç¢ºçŽ‡åˆ†å¸ƒã®ã‚°ãƒ©ãƒ•ã‚’æã。\\ -　\\ -ä¾‹ï¼šäºŒé …åˆ†å¸ƒã®ã‚°ãƒ©ãƒ•ã¨æ£è¦åˆ†å¸ƒã®ã‚°ãƒ©ãƒ•ã‚’比較ã™ã‚‹ã€‚ +Aã¯ã‚°ãƒ©ãƒ•ä¸Šã‚’å‹•ã‹ã™ã“ã¨ãŒã§ãã¦ï¼ŒBã¯ãã‚Œã«ä¼´ã£ã¦å‹•ã。ãŸã ã—，少ã—å‹•ã‹ã™åº¦ã« ãƒãƒƒãƒ/シェル ファイルを実行ã™ã‚‹ã®ã§ï¼Œç…©é›‘ãªå ´åˆã¯ï¼ŒPlotdata() ã®è¡Œã‚’コメント化ã—ã¦ã‹ã‚‰ç‚¹Aã‚’å‹•ã‹ã—ãŸã‚ã¨å†å®Ÿè¡Œã™ã‚‹ã¨ã‚ˆã„。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘上ã¨åŒæ§˜ã§ï¼Œx軸上ã®ç‚¹ã‚’自由点Aã¨ã—，曲線上ã«Bã‚’ç½®ã。 \begin{verbatim} -　　Setscaling(20); -　　PlotdiscR("1","dbinom(k,10,0.4)","k=[0,10]"); -　　PlotdataR("1","dnorm(x,10*0.4,sqrt(10*0.4*0.6))","x=[0,10]",["do"]); + PlotdataR("1","dnorm(x)","x=[-5,5]"); + PlotdataR("1","dnorm(x)","x=[-5,5]"); + A.xy=[A.x,0]; + Lineplot("1",[A,A+[0,1]],["nodisp"]); + Putintersect("B","grR1","ln1"); + Listplot("1",[A,B]); \end{verbatim} -　\\ -　　\input{Fig/binvsnormal}\\ -　\\ -関数部分ãŒé•·ããªã‚‹ã¨ãã¯ï¼ŒAssign()を利用ã—ã¦æ¬¡ã®ã‚ˆã†ã«æ›¸ãã“ã¨ã‚‚ã§ãる。 +\vspace{\baselineskip} +ã€ä¾‹ã€‘å‰ã®ä¾‹ã®ã‚°ãƒ©ãƒ•ã§ï¼ŒABã®å·¦å´ã«Shadeã‚’ã‹ã‘，Shadeã®éƒ¨åˆ†ã®é¢ç©ã‚’求ã‚る。Pã®å€¤ã‚’表示ã™ã‚‹ä½ç½®ã«ï¼ŒCinderellaã®ä½œå›³ãƒ„ールã§ç‚¹Cã‚’ã¨ã£ã¦ãŠã。 \begin{verbatim} -　　tmp="dnorm(x,n*p,sqrt(n*p*(1-p)))"; -　　tmp=Assign(tmp,["n",10,"p",0.4]); -　　PlotdataR("2",tmp,"x=[0,10]",["do"]); + PlotdataR("1","dnorm(x)","x=[-5,5]",["Num=100"]); + Putpoint("A",[0,0],[A.x,0]); + Lineplot("1",[A,A+[0,1]],["nodisp"]); + Putintersect("B","grR1","ln1"); + Listplot("1",[A,B]); + Listplot("2",[[-5,0],[5,0]],"nodisp"); + Enclosing("1",["Invert(grR1)","sg2","sg1"],[B,"notex"]); + Shade(["en1"],["Color=[0.2,0,0,0]"]); + tmp=0.5+Integrate("grR1",[0,A.x]); + Expr([A,"s",text(A.x),C,"e","P="+text(tmp)]); \end{verbatim} -次ã¯ï¼Œãƒã‚¢ã‚½ãƒ³åˆ†å¸ƒãŠã‚ˆã³å¹¾ä½•åˆ†å¸ƒã®ã‚°ãƒ©ãƒ•ã€‚ + \begin{center} \input{Fig/rshade} \end{center} + +\vspace{\baselineskip} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\vspace{\baselineskip} +\hypertarget{plotdiscr}{} +\item[関数] PlotdiscR(name,å¼,変数) +\item[機能] Rを利用ã—ã¦é›¢æ•£åž‹ã®ã‚°ãƒ©ãƒ•ã‚’æã +\item[説明] dbinom ï¼ˆäºŒé …åˆ†å¸ƒï¼‰ï¼Œdpois（ãƒã‚¢ã‚½ãƒ³åˆ†å¸ƒï¼‰ï¼Œdgeom（幾何分布）ãªã©é›¢æ•£åž‹ç¢ºçŽ‡åˆ†å¸ƒã®ã‚°ãƒ©ãƒ•ã‚’æã。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘äºŒé …åˆ†å¸ƒã®ã‚°ãƒ©ãƒ•ã¨æ£è¦åˆ†å¸ƒã®ã‚°ãƒ©ãƒ•ã‚’比較ã™ã‚‹ã€‚ +\begin{verbatim} + Setscaling(20); + PlotdiscR("1","dbinom(k,10,0.4)","k=[0,10]"); + PlotdataR("1","dnorm(x,10*0.4,sqrt(10*0.4*0.6))","x=[0,10]",["do"]); +\end{verbatim} +\vspace{\baselineskip} +\begin{center} \scalebox{0.9}{\input{Fig/binvsnormal}} \end{center} + +ã€ä¾‹ã€‘ãƒã‚¢ã‚½ãƒ³åˆ†å¸ƒãŠã‚ˆã³å¹¾ä½•åˆ†å¸ƒã®ã‚°ãƒ©ãƒ•ã€‚ \begin{verbatim} PlotdiscR("2","dpois(k,4)","k=[0,10]"); PlotdiscR("3","dgeom(k,0.3)","k=[0,10]"); \end{verbatim} -　\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +%\vspace{\baselineskip} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} \hypertarget{readcsv}{} -\item[関数]　Readcsv(path,filename,option) -\item[機能]　Rを利用ã—ã¦csvファイルをèªã‚€ã€‚ -\item[説明]　Rを使ã£ã¦csvファイルをèªã¿ã“む。戻り値ã¯èªã¿è¾¼ã‚“ã データã®ãƒªã‚¹ãƒˆã€‚\\ -第１引数㮠path ã¯ï¼Œãƒ•ã‚¡ã‚¤ãƒ«ã‚’ ketwork フォルダã«ç½®ã„ãŸå ´åˆã¯çœç•¥ã™ã‚‹ã“ã¨ãŒã§ãる。ãã†ã§ãªã„å ´åˆã¯ï¼Œãƒ•ãƒ«ãƒ‘スã§æŒ‡å®šã™ã‚‹ã€‚ãŸã¨ãˆã°ï¼Œ"/Users/Hoge/Desktop"\\ -option ã¯ï¼Œ"Flat=" ã§ï¼Œ"Flat=y" ã®å ´åˆã¯ï¼Œèªã¿è¾¼ã‚“ã データをリスト化ã—ãŸã¨ãã«å¹³æ»‘化（１次元ã®ãƒªã‚¹ãƒˆï¼‰ã«ã™ã‚‹ã€‚デフォルト㯠"Flat=n"\\ -ã¾ãŸï¼Œï¼²ã‚’使ã‚ãšScilabを使ã£ã¦èªã¿è¾¼ã‚€ã“ã¨ã‚‚ã§ãる。ãã®å ´åˆã¯ï¼Œoptionã«"Use=S" ã‚’ã¤ã‘ã‚‹ãŒï¼ŒMacã§ä½œæˆã—ãŸãƒ•ã‚¡ã‚¤ãƒ«ã§ï¼Œæ”¹è¡Œã‚³ãƒ¼ãƒ‰ãŒCRã®ã¿ã®å ´åˆã¯ã†ã¾ãèªã¿è¾¼ã‚€ã“ã¨ãŒã§ããªã„。Windows標準ã®CR+LFãªã‚‰èªã¿è¾¼ã‚る。 +\item[関数] Readcsv(path,filename,option) +\item[機能] Rを利用ã—ã¦csvファイルをèªã‚€ã€‚ +\item[説明] Rを使ã£ã¦csvファイルをèªã¿ã“む。戻り値ã¯èªã¿è¾¼ã‚“ã データã®ãƒªã‚¹ãƒˆã€‚ + +第１引数㮠path ã¯ï¼Œãƒ•ã‚¡ã‚¤ãƒ«ã‚’作æ¥ãƒ•ã‚©ãƒ«ãƒ€ï¼ˆ åˆæœŸè¨å®šã¯ fig ）ã«ç½®ã„ãŸå ´åˆã¯çœç•¥ã™ã‚‹ã“ã¨ãŒã§ãる。ãã†ã§ãªã„å ´åˆã¯ï¼Œãƒ•ãƒ«ãƒ‘スã§æŒ‡å®šã™ã‚‹ã€‚ãŸã¨ãˆã°ï¼Œ"/Users/Hoge/Desktop" + +option ã¯ï¼Œ"Flat=" ã§ï¼Œ"Flat=y" ã®å ´åˆã¯ï¼Œèªã¿è¾¼ã‚“ã データをリスト化ã—ãŸã¨ãã«å¹³æ»‘化（１次元ã®ãƒªã‚¹ãƒˆï¼‰ã«ã™ã‚‹ã€‚ åˆæœŸè¨å®šã¯ "Flat=n" + +ã€ä¾‹ã€‘次ã®ã‚ˆã†ãªCSVファイル sample.csvã‚’èªã¿è¾¼ã‚€ã¨ã™ã‚‹ã€‚ -利用例㯠Boxplot() ãªã©ã®ä¾‹ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ -　\\ +\begin{verbatim} + 12,14,15,18,13 + 9,13,17,21 +\end{verbatim} + +ã¤ã¾ã‚Šï¼Œï¼’行分ã®ãƒ‡ãƒ¼ã‚¿ã§ã‚る。 + +\begin{verbatim} + data=Readcsv("sample.csv"); +\end{verbatim} + +ã¨ã™ã‚‹ã¨ï¼Œ +\begin{verbatim} + data=[[12,14,15,18,13],[9,13,17,21]] +\end{verbatim} +ã¨ãªã‚‹ã€‚ + +ã—ãŸãŒã£ã¦ï¼Œï¼‘行目ã®ãƒ‡ãƒ¼ã‚¿ã ã‘å–り出ã—ãŸã„å ´åˆã¯ + +\begin{verbatim} + dt1=data_1; +\end{verbatim} + +ã¨ã™ã‚‹ã€‚ + +\vspace{\baselineskip} \hypertarget{scatterplot}{} -\item[関数]　Scatterplot(name,filename,option) -\item[機能]　２次元データをèªã¿è¾¼ã¿ï¼Œæ•£å¸ƒå›³ã‚’æã -\item[説明]　外部ファイル filename（csvå½¢å¼ï¼‰ã‚’èªã¿ï¼Œæ•£å¸ƒå›³ã‚’æã。\\ -オプションã¯ã€€"Reg=no" : 回帰直線をæãã‹ã©ã†ã‹ï¼ˆyes/no) åˆæœŸå€¤ã¯ yes\\ -　　　　　　　　A, Bã€€è¡¨ç¤ºæž ã®å¯¾è§’点（左下ã¨å³ä¸Šã®ç‚¹ï¼‰ï¼ˆCinderellaã§ä½œå›³ï¼‰\\ -　　　　　　　　C　　相関係数ã¨å›žå¸°ç›´ç·šã®å¼ã‚’表示ã™ã‚‹ç‚¹\\ -　　　　　　　"Size=n" ：点ã®å¤§ãã•ã€‚Cinderellaã®æç”»é¢ã«ã¯åæ˜ ã•ã‚Œãªã„。\\ -　　　　　　　　　　　æç”»é¢ã®ç‚¹ã‚‚大ããã™ã‚‹å ´åˆã¯ï¼Œ"size-$>$n"ã‚ªãƒ—ã‚·ãƒ§ãƒ³ã‚’è¿½åŠ ã™ã‚‹ã€‚\\ -例：data.csv ã‚’èªã‚“ã§æ•£å¸ƒå›³ã‚’æã，回帰直線を引ã。 -\begin{verbatim} -　　Scatterplot("1","data.csv",["Reg=yes",A,B,C,"Size=5"]); -　　Rulerscale(A,["r",0,10,1],["r",1,10,1]); -\end{verbatim} -　optionã®ç‚¹A,Bã¯Cinderellaã®ä½œå›³ãƒ„ールã§ã¨ã£ãŸè¡¨ç¤ºé ˜åŸŸã®å¯¾è§’点。（ AãŒå·¦ä¸‹ã€‚ãªãŠï¼Œå¯¾è§’点ã®å称ã¯A,Bã«ã¯é™ã‚‰ãªã„。）\\ -　回帰直線をæãå ´åˆ("Reg=yes")ã¯ï¼Œå›žå¸°ç›´ç·šãŒæž ã‹ã‚‰ã¯ã¿å‡ºã™ã®ã§ï¼ŒAã‚’SW，Bã‚’NEã«ä¸€è‡´ã•ã›ã‚‹ã¨ã‚ˆã„。\\ -　Cã¯ç›¸é–¢ä¿‚æ•°ã¨å›žå¸°ç›´ç·šã®å¼ã‚’表示ã™ã‚‹ç‚¹ã¨ã—ã¦Cinderellaã®ä½œå›³ãƒ„ールã§å–る。ã“れも，å称ã¯ï¼£ã«ã¯é™ã‚‰ãªã„。\\ -　　　\verb|Rulerscale(A,["r",0,10,1],["r",1,10,1]);|\\ - ã§è¡¨ç¤ºæž ã«ç›®ç››ã‚’打ã£ã¦ã„る。"r" ã¯ç‰å¹…，"f"㯠Tickmark ã¨åŒã˜æŒ‡å®šã€‚\\ -　\\ -　　　　　\input{Fig/scatter}\\ +\item[関数] Scatterplot(name,filename/datalist,option1,option2) +\item[機能] 2次元データをèªã¿è¾¼ã¿ï¼Œæ•£å¸ƒå›³ã‚’æã +\item[説明] 外部ファイル filename（csvå½¢å¼ï¼‰ã‚’èªã¿ï¼Œæ•£å¸ƒå›³ã‚’æã。 + +外部ファイルã®ï¼’次元データã¨ã¯ï¼Œæ¬¡ã®å½¢ã®csvファイル。（行末ã¯LFã¾ãŸã¯CR） +\begin{verbatim} + 2.3, 4.5 (LF) + 3.2, 7 (LF) + 2.0, 6.8 (LF) +\end{verbatim} + + +datalistã®å ´åˆã¯ï¼Œæ¬¡ã®å½¢ã€‚ + +\begin{verbatim} + data=[[2.3,4.5],[3.2,7],[2.0,6.8], ・・・ ]; +\end{verbatim} + + +第１オプションã¯ï¼Œå›žå¸°ç›´ç·šã‚’æãã‹ã©ã†ã‹ã¨ç‚¹ã®ã‚¹ã‚¿ã‚¤ãƒ«ã€‚ + +"Reg=no" : 回帰直線をæãã‹ã©ã†ã‹ï¼ˆyes/no) åˆæœŸå€¤ã¯ yes + +第２オプションã¯ï¼Œç›¸é–¢ä¿‚æ•°ã¨å›žå¸°ç›´ç·šã®å¼ã‚’表示ã™ã‚‹ä½ç½®ã¨ï¼Œå›žå¸°ç›´ç·šã®ã‚¹ã‚¿ã‚¤ãƒ«ã€‚ + +ä½ç½®ã¯ï¼Œå¹¾ä½•ç‚¹ã®å称ã§ã‚‚よã„。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘data.csv ã‚’èªã‚“ã§æ•£å¸ƒå›³ã‚’æã，回帰直線を引ã。 +\begin{verbatim} + Scatterplot("1","data.csv"); +\end{verbatim} + +ã ã‘ã§æã‘る。オプションをã¤ã‘ãŸä¾‹ã¯æ¬¡ã€‚ + +点Aを相関係数ã¨å›žå¸°ç›´ç·šã®å¼ã‚’表示ã™ã‚‹ç‚¹ã¨ã—ã¦Cinderellaã®ä½œå›³ãƒ„ールã§å–る。 + +点をé’ã§å¤§ãã•2ã¨ã—，回帰直線を緑ã§è¡¨ç¤ºã™ã‚‹ã€‚ + +\begin{verbatim} + Scatterplot("1","data.csv",["Size=4","Color=blue"],[A,"Color=green"]); + Listplot("1",[[0,7],[0,0],[7,0]]); + Rulerscale([0,0],["r",0,7,1],["r",1,7,1]); +\end{verbatim} + +\vspace{\baselineskip} + \begin{center} \input{Fig/scatter} \end{center} + \end{description} \newpage -%　Maximaã¨ã®é€£æºã€€================================== +% Maximaã¨ã®é€£æº ================================== \subsection{Maximaã¨ã®é€£æº} -Maximaã¯æ•°å¼å‡¦ç†ã‚½ãƒ•ãƒˆã§ï¼ŒKeTCindyã«ãŠã„ã¦ã¯å¾®ç©åˆ†ã®è¨ˆç®—ãªã©ï¼ŒCindyscriptã§ã¯ä¸å分ãªç‚¹ã‚’補ã†ã“ã¨ãŒã§ãる。\\ -　KeTCindyã§ã¯ï¼Œkc.bat/shã«ã‚ˆã£ã¦ã‚³ãƒžãƒ³ãƒ‰ã‚’Maximaã«æ¸¡ã—，çµæžœã‚’テã‚ストファイルã§å—ã‘å–る。ã“ã®ã¨ã，Maximaã¨ã®ã‚„ã‚Šã¨ã‚Šã§ï¼Œæ¬¡ã®ã‚ˆã†ãªãƒ•ã‚¡ã‚¤ãƒ«ãŒä½œæ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã«ä½œæˆã•ã‚Œã‚‹ã€‚\\ -æ‹¡å¼µå max ：Maxima用ã®ãƒ•ã‚¡ã‚¤ãƒ«\\ -æ‹¡å¼µå txt：データファイル\\ -ã“ã®ãƒ‡ãƒ¼ã‚¿ã®ã‚„ã‚Šå–ã‚Šã«é–¢ã™ã‚‹æ¬¡ã®ã‚ªãƒ—ションãŒã‚る。\\ -　オプションãªã—ã¾ãŸã¯ï¼Œâ€â€ ã®ã¨ã\\ -　　i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る\\ -　　ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれをèªã¿è¾¼ã‚€\\ -　"m" ã®ã¨ã，強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚\\ -　"r" ã®ã¨ã，ã™ã§ã«ã‚るデータファイルをèªã¿è¾¼ã‚€ã€‚\\ -　ã“ã®ã¨ã，ファイルã®èªã¿æ›¸ãã§ä¸å…·åˆãŒã‚ã‚‹ã¨ï¼Œæ•°ç§’ã®å¾Œã€Œ==$>$ file.txt not generated (5 s ) ã€ã®ã‚ˆã†ãªã‚¨ãƒ©ãƒ¼ãƒ¡ãƒƒã‚»ãƒ¼ã‚¸ãŒã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã“ã®ã‚ˆã†ãªå ´åˆã¯ä½œæ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã®è¨å®šãªã©ã‚’確èªã—ã¦ã„ãŸã ããŸã„。ã“ã®å¾…ã¡æ™‚é–“ã«ã¤ã„ã¦ã¯ï¼ŒWaitオプションã§è¨å®šã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ +Maximaã¯æ•°å¼å‡¦ç†ã‚½ãƒ•ãƒˆã§ï¼Œ\ketcindy ã«ãŠã„ã¦ã¯å¾®ç©åˆ†ã®è¨ˆç®—ãªã©ï¼ŒCindyscriptã§ã¯ä¸å分ãªç‚¹ã‚’補ã†ã“ã¨ãŒã§ãる。 + + \ketcindy ã§ã¯ï¼Œkc.bat/shã«ã‚ˆã£ã¦ã‚³ãƒžãƒ³ãƒ‰ã‚’Maximaã«æ¸¡ã—，çµæžœã‚’テã‚ストファイルã§å—ã‘å–る。ã“ã®ã¨ã，Maximaã¨ã®ã‚„ã‚Šã¨ã‚Šã§ï¼Œæ¬¡ã®ã‚ˆã†ãªãƒ•ã‚¡ã‚¤ãƒ«ãŒä½œæ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã«ä½œæˆã•ã‚Œã‚‹ã€‚ + +æ‹¡å¼µå max ：Maxima用ã®ãƒ•ã‚¡ã‚¤ãƒ« +æ‹¡å¼µå txt：データファイル + +ã“ã®ãƒ‡ãƒ¼ã‚¿ã®ã‚„ã‚Šå–ã‚Šã«é–¢ã™ã‚‹æ¬¡ã®ã‚ªãƒ—ションãŒã‚る。 + + オプションãªã—ã¾ãŸã¯ï¼Œâ€â€ ã®ã¨ã + + i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る + + ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれをèªã¿è¾¼ã‚€ + + "m" ã®ã¨ã，強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚ + + "r" ã®ã¨ã，ã™ã§ã«ã‚るデータファイルをèªã¿è¾¼ã‚€ã€‚ + + ã“ã®ã¨ã，ファイルã®èªã¿æ›¸ãã§ä¸å…·åˆãŒã‚ã‚‹ã¨ï¼Œæ•°ç§’ã®å¾Œã€Œ==$>$ file.txt not generated (5 s ) ã€ã®ã‚ˆã†ãªã‚¨ãƒ©ãƒ¼ãƒ¡ãƒƒã‚»ãƒ¼ã‚¸ãŒã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã“ã®ã‚ˆã†ãªå ´åˆã¯ä½œæ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã®è¨å®šãªã©ã‚’確èªã—ã¦ã„ãŸã ããŸã„。ã“ã®å¾…ã¡æ™‚é–“ã«ã¤ã„ã¦ã¯ï¼ŒWaitオプションã§è¨å®šã™ã‚‹ã“ã¨ã‚‚ã§ãる。 + \begin{description} \hypertarget{calcbyM}{} -\item[関数]　CalcbyM(name，コマンド，option) -\item[機能]　Maximaã®ã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹ -\item[説明]　第２引数ã¯Maximaã§å®Ÿè¡Œã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰ã€‚\\ -　コマンドã¨å¼•æ•°ãƒªã‚¹ãƒˆã®ç¹°ã‚Šè¿”ã—ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆï¼ˆä¾‹ãˆã°cmdL）を作ã£ã¦ï¼Œä¸€åº¦ã«å®Ÿè¡Œã™ã‚‹ã€‚\\ -　戻り値ã¯ãªã„。（未定義値）　çµæžœã¯ï¼Œã‚³ãƒžãƒ³ãƒ‰ãƒªã‚¹ãƒˆã®æœ€å¾Œã«è¨˜è¿°ã—ãŸå¤‰æ•°ï¼ˆå¼•æ•°ã¯ç©ºãƒªã‚¹ãƒˆï¼‰ã®å€¤ãŒname ã§æŒ‡å®šã•ã‚ŒãŸå¤‰æ•°ã«ä»£å…¥ã•ã‚Œã‚‹ã€‚複数ã®çµæžœã‚’戻ã™ã¨ãã¯ï¼Œ:: ã§åŒºåˆ‡ã£ã¦è¨˜è¿°ã™ã‚‹ã¨ãƒªã‚¹ãƒˆã«ã—ã¦ä»£å…¥ã•ã‚Œã‚‹ã€‚\\ -　\\ -例：$\sin x$ ã¨ãã®å°Žé–¢æ•°ã‚’表示ã™ã‚‹ã€‚çµæžœã¯ 変数 fdf ã« f ã¨df ã®ãƒªã‚¹ãƒˆãŒä»£å…¥ã•ã‚Œã‚‹ã€‚ -\begin{verbatim} -　　cmdL=[ -　　　"f:sin(x)", [], -　　　"df:diff",["sin(x)","x"], -　　　"f::df",[] -　　]; -　　CalcbyM("fdf",cmdL); -　　println(fdf); -\end{verbatim} -　\\ -　実行ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ï¼Œ[sin(x),cos(x)] ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -　\\ -ä¾‹ï¼šï¼’æ¬¡æ–¹ç¨‹å¼ $x^2-x-4=0$ã®è§£ã‚’求ã‚る。 -\begin{verbatim} -　　cmdL=[ -　　 "ans:solve",["x^2-x-4","x"], -　　 "ans",[] -　　]; -　　CalcbyM("ans",cmdL); -　　println("ans="+ans); -\end{verbatim} -　コンソールã«ã¯\\ -　　ans=[x = -(sqrt(17)-1)/2,x = (sqrt(17)+1)/2] \\ -　ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -　\\ -{\bf 応用例１：曲線ã®æŽ¥ç·šã‚’引ã}\\ -　\\ -　$f(x)=\dfrac{e^x+e^{-x}}{2}$ ã®ï¼Œ$x=a$ã«ãŠã‘る接線ã®æ–¹ç¨‹å¼ã‚’作る。\\ +\item[関数] CalcbyM(name，コマンド，option) +\item[機能] Maximaã®ã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹ +\item[説明] 第2引数ã¯Maximaã§å®Ÿè¡Œã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰ã€‚ + +コマンドã¨å¼•æ•°ãƒªã‚¹ãƒˆã®ç¹°ã‚Šè¿”ã—ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆï¼ˆä¾‹ãˆã°cmdL）を作ã£ã¦ï¼Œä¸€åº¦ã«å®Ÿè¡Œã™ã‚‹ã€‚ + +戻り値ã¯ãªã„。（未定義値） çµæžœã¯ï¼Œã‚³ãƒžãƒ³ãƒ‰ãƒªã‚¹ãƒˆã®æœ€å¾Œã«è¨˜è¿°ã—ãŸå¤‰æ•°ï¼ˆå¼•æ•°ã¯ç©ºãƒªã‚¹ãƒˆï¼‰ã®å€¤ãŒname ã§æŒ‡å®šã•ã‚ŒãŸå¤‰æ•°ã«ä»£å…¥ã•ã‚Œã‚‹ã€‚複数ã®çµæžœã‚’戻ã™ã¨ãã¯ï¼Œ:: ã§åŒºåˆ‡ã£ã¦è¨˜è¿°ã™ã‚‹ã¨ãƒªã‚¹ãƒˆã«ã—ã¦ä»£å…¥ã•ã‚Œã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘$\sin x$ ã¨ãã®å°Žé–¢æ•°ã‚’表示ã™ã‚‹ã€‚çµæžœã¯ 変数 fdf ã« f ã¨df ã®ãƒªã‚¹ãƒˆãŒä»£å…¥ã•ã‚Œã‚‹ã€‚ +\begin{verbatim} + cmdL=[ + "f:sin(x)", [], + "df:diff",["sin(x)","x"], + "f::df",[] + ]; + CalcbyM("fdf",cmdL); + println(fdf); +\end{verbatim} +\vspace{\baselineskip} + 実行ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ï¼Œ[sin(x),cos(x)] ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘2æ¬¡æ–¹ç¨‹å¼ $x^2-x-4=0$ã®è§£ã‚’求ã‚る。 +\begin{verbatim} + cmdL=[ + "ans:solve",["x^2-x-4","x"], + "ans",[] + ]; + CalcbyM("ans",cmdL); + println("ans="+ans); +\end{verbatim} + コンソールã«ã¯ + + ans=[x = -(sqrt(17)-1)/2,x = (sqrt(17)+1)/2] + + ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ + +\vspace{\baselineskip} +{\bf 応用例１：曲線ã®æŽ¥ç·šã‚’引ã} + +\vspace{\baselineskip} + $f(x)=\dfrac{e^x+e^{-x}}{2}$ ã®ï¼Œ$x=a$ã«ãŠã‘る接線ã®æ–¹ç¨‹å¼ã‚’作る。 + Maximaã§ãã®å‡¦ç†ã‚’è¡Œã†ã‚³ãƒžãƒ³ãƒ‰ã‚’定義ã—，CalbyMã§å®Ÿè¡Œã™ã‚‹ã€‚ \begin{verbatim} -　　fx="(exp(x)+exp(-x))/2"; -　　cmdL=[ -　　 "df:diff",[fx,"x"], -　　 "c:ev",["df","x=a"], -　　 "b:ev",[fx,"x=a"], -　　 "eq:c*(x-a)+b",[], - 　　 "eq",[] -　　]; -　　CalcbyM("tn1",cmdL); -　　println(tn1); + fx="(exp(x)+exp(-x))/2"; + cmdL=[ + "df:diff",[fx,"x"], + "c:ev",["df","x=a"], + "b:ev",[fx,"x=a"], + "eq:c*(x-a)+b",[], + "eq",[] + ]; + CalcbyM("tn1",cmdL); + println(tn1); \end{verbatim} -　コンソールã«ã¯ + コンソールã«ã¯ \begin{verbatim} -　　(%e^a-%e^-a)*(x-a))/2+(%e^a+%e^-a)/2 + (%e^a-%e^-a)*(x-a))/2+(%e^a+%e^-a)/2 \end{verbatim} ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -　ã“ã®ï¼ŒCalbyMã®æˆ»ã‚Šå€¤ tn1 を用ã„ã¦ï¼Œæ›²ç·šä¸Šã®ï¼‘点Aã«ãŠã‘る接線ã®ã‚°ãƒ©ãƒ•ã‚’æã。以下ã®ã‚¹ã‚¯ãƒªãƒ—ãƒˆã‚’è¿½åŠ ã™ã‚‹ã€‚ãªãŠï¼Œç‚¹Aã‚’Cinderellaã®ä½œå›³ãƒ„ールã§é©å½“ãªã¨ã“ã‚ã«ã¨ã£ã¦ãŠã。 -\begin{verbatim} -　　tn1=Assign(tn1,["%e^a","exp(a)","%e^-a","exp(-a)"]); -　　Plotdata("1",fx,"x"); -　　Putoncurve("A","gr1"); -　　tmp=Assign(tn1,["a",A.x]); -　　plotdata("2",tmp,"x",["Num=2"]); -\end{verbatim} -１行目ã§ã¯Maximaã§ä½œæˆã—ãŸå¼ã‚’，Cindyscriptã§ãƒ—ãƒãƒƒãƒˆã§ãã‚‹å¼ã«ã—ã¦ã„る。\\ -　\\ -　　　　　　\input{Fig/maxfun01}\\ -　\\ -　ãªãŠï¼ŒæŽ¥ç·šã®æ–¹ç¨‹å¼ã‚’求ã‚ã‚‹ã ã‘ã§ã‚ã‚Œã°ï¼ŒMxfun()を使ã†ã“ã¨ã‚‚ã§ãる。Mxfun()ã®è§£èª¬ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ -　\\ -{\bf 応用例２：パラメトリックã®å ´åˆã®æŽ¥ç·š}\\ -　\\ -　媒介変数ã®å€¤ã‚’決ã‚ã‚‹ãŸã‚ã«ï¼Œç‚¹Aã‚’Cinderellaã®æç”»é¢ã®x軸上ã«ã¨ã£ã¦ãŠã，ãã®$x$座標を媒介変数$t$ã®å€¤ã¨ã™ã‚‹ã€‚スライダを作ã£ã¦ã‚‚よã„。 -\begin{verbatim} -　　fn="3*cos(t)^2*[cos(t),sin(t)]"; -　　cmdL=[ -　　 "f:",[fn], -　　 "df:diff",["f","t"], -　　 "df:trigsimp",["df"], -　　 "tn:f+s*df",[], -　　 "tn",[] -　　]; -　　CalcbyM("tn2",cmdL); -　　Paramplot("1",fn,"t=[0,2*pi]",["Num=100"]); -　　gn=Assign(tn2,["t",A.x]); -　　Paramplot("2",gn,"s=[-3,3]"); -\end{verbatim} -　\\ -　　　　　　\input{Fig/maxfun02}\\ -　\\ -　cmdLã§å®šç¾©ã—ã¦ã„ã‚‹Maximaã®ã‚³ãƒžãƒ³ãƒ‰ï¼ˆtrigsimp ãªã©ï¼‰ã«ã¤ã„ã¦ã¯ï¼ŒMaximaã®è§£èª¬æ›¸ãªã©ã‚’å‚ç…§ã•ã‚ŒãŸã„。\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -　\\ -\hypertarget{example}{} -\item[関数]　Example("Mxfun",æ–‡å—) -\item[機能]　Mxfunã®ä½¿ç”¨ä¾‹ã‚’表示。文å—㯠"a"，"b"，ãªã©ã€‚ -\item[説明]　ãŸã¨ãˆã°ï¼Œ\verb|Example("Mxfun","a")| ã¨ã™ã‚‹ã¨ï¼ŒMxfunã®ä½¿ç”¨ä¾‹ãŒã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -　\\ + ã“ã®ï¼ŒCalbyMã®æˆ»ã‚Šå€¤ tn1 を用ã„ã¦ï¼Œæ›²ç·šä¸Šã®ï¼‘点Aã«ãŠã‘る接線ã®ã‚°ãƒ©ãƒ•ã‚’æã。以下ã®ã‚¹ã‚¯ãƒªãƒ—ãƒˆã‚’è¿½åŠ ã™ã‚‹ã€‚ãªãŠï¼Œç‚¹Aã‚’Cinderellaã®ä½œå›³ãƒ„ールã§é©å½“ãªã¨ã“ã‚ã«ã¨ã£ã¦ãŠã。 +\begin{verbatim} + tn1=Assign(tn1,["%e^a","exp(a)","%e^-a","exp(-a)"]); + Plotdata("1",fx,"x"); + PutonCurve("A","gr1"); + tmp=Assign(tn1,["a",A.x]); + plotdata("2",tmp,"x",["Num=2"]); +\end{verbatim} +１行目ã§ã¯Maximaã§ä½œæˆã—ãŸå¼ã‚’，Cindyscriptã§ãƒ—ãƒãƒƒãƒˆã§ãã‚‹å¼ã«ã—ã¦ã„る。 +\vspace{\baselineskip} + \begin{center} \input{Fig/maxfun01} \end{center} +\vspace{\baselineskip} + ãªãŠï¼ŒæŽ¥ç·šã®æ–¹ç¨‹å¼ã‚’求ã‚ã‚‹ã ã‘ã§ã‚ã‚Œã°ï¼ŒMxfun()を使ã†ã“ã¨ã‚‚ã§ãる。Mxfun()ã®è§£èª¬ã‚’å‚ç…§ã®ã“ã¨ã€‚ + +\vspace{\baselineskip} +{\bf 応用例2：パラメトリックã®å ´åˆã®æŽ¥ç·š} + +\vspace{\baselineskip} + 媒介変数ã®å€¤ã‚’決ã‚ã‚‹ãŸã‚ã«ï¼Œç‚¹Aã‚’Cinderellaã®æç”»é¢ã®x軸上ã«ã¨ã£ã¦ãŠã，ãã®$x$座標を媒介変数$t$ã®å€¤ã¨ã™ã‚‹ã€‚スライダを作ã£ã¦ã‚‚よã„。 + +\begin{layer}{150}{0} +\putnotese{60}{20}{ \input{Fig/maxfun02}} +\end{layer} +\begin{verbatim} + fn="3*cos(t)^2*[cos(t),sin(t)]"; + cmdL=[ + "f:",[fn], + "df:diff",["f","t"], + "df:trigsimp",["df"], + "tn:f+s*df",[], + "tn",[] + ]; + CalcbyM("tn2",cmdL); + Paramplot("1",fn,"t=[0,2*pi]",["Num=100"]); + gn=Assign(tn2,["t",A.x]); + Paramplot("2",gn,"s=[-3,3]"); +\end{verbatim} + +cmdLã§å®šç¾©ã—ã¦ã„ã‚‹Maximaã®ã‚³ãƒžãƒ³ãƒ‰ï¼ˆtrigsimp ãªã©ï¼‰ã«ã¤ã„ã¦ã¯ï¼ŒMaximaã®è§£èª¬æ›¸ãªã©ã‚’å‚ç…§ã•ã‚ŒãŸã„。 + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +%\vspace{\baselineskip} +%\hypertarget{example}{} +%\item[関数] Example("Mxfun",æ–‡å—) +%\item[機能] Mxfunã®ä½¿ç”¨ä¾‹ã‚’表示。文å—㯠"a"，"b"，ãªã©ã€‚ +%\item[説明] ãŸã¨ãˆã°ï¼Œ\verb|Example("Mxfun","a")| ã¨ã™ã‚‹ã¨ï¼ŒMxfunã®ä½¿ç”¨ä¾‹ãŒã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ + +\vspace{\baselineskip} \hypertarget{mxbatch}{} -\item[関数]　Mxbatch(ファイルå) -\item[機能]　Maximaã®ãƒ•ã‚¡ã‚¤ãƒ«ã‚’実行ã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰ä½œã‚‹ -\item[説明]　Dirlibã§æŒ‡å®šã•ã‚ŒãŸãƒ•ã‚©ãƒ«ãƒ€ã®ä¸ã® maximaL フォルダã«ã‚るファイルを実行ã™ã‚‹ãŸã‚ã®ï¼ŒCalcbyM用ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’作æˆã™ã‚‹ã€‚\\ -例：\verb|cmd=Mxbatch("fourier_sec")|\\ -　を実行ã™ã‚‹ã¨ï¼Œcmdã«\\ -　　\verb|[batch,["/Applications/ketcindy/ketlib/maximaL/fourier_sec.max"]] |\\ -　ãŒä»£å…¥ã•ã‚Œã‚‹ã€‚ãã“ã§ï¼Œ\\ -　　\verb|CalcbyM("ret",cmd,[]);|\\ -　を実行ã™ã‚Œã°ï¼Œfourier\_sec.max ãŒå®Ÿè¡Œã•ã‚Œã¦ï¼Œçµæžœã‚’ ret ã«å–å¾—ã§ãる。\\ -　fourier\_sec.max ã«ç¶šã‘ã¦ï¼Œã‚³ãƒžãƒ³ãƒ‰åˆ— cmd2 を実行ã™ã‚‹ã“ã¨ã‚‚ã§ã，ãã®å ´åˆã¯ -\begin{verbatim} -　　cmdL=Concat(Mxbatch("fourier_sec"),cmd2); -　　CalcbyM("ret",cmdL,[]); -\end{verbatim} -ã¨ã™ã‚‹ã€‚（Concat() ã¯ãƒªã‚¹ãƒˆã‚’çµåˆã™ã‚‹Cindyscriptã®é–¢æ•°ï¼‰\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -　\\ +\item[関数] Mxbatch(ファイルå) +\item[機能] Maximaã®ãƒ•ã‚¡ã‚¤ãƒ«ã‚’実行ã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰ã‚’作る +\item[説明] ketcindy/ketlib/maximaL ã«ã‚るファイルを実行ã™ã‚‹ãŸã‚ã®ï¼ŒCalcbyM用ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’作æˆã™ã‚‹ã€‚ + +ketcindy/ketlib/maximaL ã«ã¯ï¼Œfourier\_sec.max , matoperation.max , poincare.mac ã®3ã¤ã®ãƒ•ã‚¡ã‚¤ãƒ«ãŒå…¥ã£ã¦ã„る。ãŸã¨ãˆã°ï¼Œãƒ•ãƒ¼ãƒªã‚¨ç´šæ•°ã‚’扱ã†ã¨ãã«ã¯ï¼Œfourier\_sec.max を使用ã™ã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘\verb|cmd=Mxbatch("fourier_sec")| + を実行ã™ã‚‹ã¨ï¼Œcmdã«ï¼ŒãŸã¨ãˆã° + + \verb|[batch,["/Applications/ketcindy/ketlib/maximaL/fourier_sec.max"]] | + + ãŒä»£å…¥ã•ã‚Œã‚‹ã€‚（Mac/Windows ãŠã‚ˆã³ KeTCindyã®è¨å®šã«ã‚ˆã£ã¦ç•°ãªã‚‹ï¼‰ + + ãã“ã§ï¼Œæ¬¡ã®ã‚ˆã†ã«åˆ©ç”¨ã™ã‚‹ã€‚ + +\begin{verbatim} + Setax(["a"]); + Slider("A-C-B",[-5.5,-1.5],[4.5,-1.5]); + defL=["1",[-3,-2],1,"0",[-2,-1],1,"-x",[-1,1],1,"0",[1,2],1,"-1",[2,3],1]; + Drwxy(); + tmp=Periodfun(defL,1,["dr,2","Color=red"]); + fun=tmp_1; + per=tmp_2; + Htickmark([1,"n","1",2,"n","2",3,"nw","3"]); + Htickmark([-1,"-1",-2,"-2",-3,"-3"]); + cmdL=Concat(Mxbatch("fourier_sec"),[ + "Ffun(x):="+fun,[], + "c:fourier_sec_coeff",["Ffun(x)","x"], + "c[1]::c[2]::c[3]",[] + ]); + CalcbyM("ans",cmdL,[]); + nterm=round(4*(C.x-A.x)); + Fourierseries("1",ans,per,nterm,["Num=400"]); + Mxtex("2",ans_3); + Expr([[-5,-2],"e","s_n="+tx2,[4,-2],"e","n="+text(nterm)]); +\end{verbatim} + +\hspace{20mm}\input{Fig/mxbatch} + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\vspace{\baselineskip} \hypertarget{mxfun}{} -\item[関数]　Mxfun(name，å¼ï¼Œãƒªã‚¹ãƒˆï¼Œoption) -\item[機能]　Maximaã®é–¢æ•°ã‚’実行ã™ã‚‹ -\item[説明]　第２引数ã®ã€Œå¼ã€ã¯Maximaã®é–¢æ•°å。第３引数ã®ãƒªã‚¹ãƒˆã¯é–¢æ•°ã«æ¸¡ã™å¼•æ•°ã®ãƒªã‚¹ãƒˆã€‚\\ -　戻り値ã¯ï¼Œç¬¬ï¼‘引数ã®å¼ã«ï¼‘ã¤ã§ã‚‚æ–‡å—ãŒã‚ã‚‹ã¨æ–‡å—列ã¨ãªã‚‹ã€‚ã™ã¹ã¦æ•°å—（+,-, . ã‚’å«ã‚€ï¼‰ã®å ´åˆã¯ -16æ¡ä»¥ä¸‹ã§ã‚ã‚Œã°æ•°ï¼Œãれ以上ã®å ´åˆã¯æ–‡å—列ã¨ãªã‚‹ã€‚ã¾ãŸï¼Œæˆ»ã‚Šå€¤ã¯ï¼Œå¤‰æ•° mxname ã«ã‚‚代入ã•ã‚Œã‚‹ã€‚\\ -オプション㫠"Disp=no" ã‚’ã¤ã‘ã‚‹ã¨ï¼Œçµæžœã‚’コンソールã«è¡¨ç¤ºã—ãªã„。\\ -　\\ -例：$10!$を求ã‚る。\\ -　　\verb|Mxfun("1","10!",[],[""]);|\\ -　を実行ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ã€€mx1 is 362880 ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã“ã®å€¤ã¯å¤‰æ•° mx1 ã«ä»£å…¥ã•ã‚Œã¦ã„ã‚‹ã®ã§ï¼Œ\\ -　　\verb|drawtext([0,1],mx1);|\\ -ã¨ã™ã‚Œã°Cinderellaã®æç”»é¢ä¸Šã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -　ã¾ãŸï¼Œæˆ»ã‚Šå€¤ã‚’別ã®å¤‰æ•°ã«ä»£å…¥ã—ã¦ä½¿ã†ã“ã¨ã‚‚ã§ãる。 -\begin{verbatim} -　　fact10=Mxfun("1","10!",[],[""]); -　　drawtext([0,1],fact10); -\end{verbatim} -　\\ -例：$f(x)=\sin x$ を微分ã™ã‚‹\\ -　　　\verb|Mxfun("1", "diff",["sin(x)","x"])|\\ -　ã¨ã™ã‚‹ã¨\\ -　　diff(sin(x),x)\\ -　ã¨ã„ã†ã‚³ãƒžãƒ³ãƒ‰ã‚’Maximaã«æ¸¡ã—ã¦ï¼Œæˆ»ã‚Šå€¤ã‚’Cindyã®å¤‰æ•°mx1ã«ä»£å…¥ã™ã‚‹ã€‚\\ -　　　\verb|Mxfun("1", "diff(sin(x),x)",[]])|\\ -　ã¨ï¼Œç¬¬ï¼‘引数ã«ã¾ã¨ã‚ã¦ã‚‚åŒã˜çµæžœã«ãªã‚‹ã€‚ãŸã ã—，ã“ã®å ´åˆï¼Œç¬¬ï¼’引数ã¯ç©ºãƒªã‚¹ãƒˆã¨ã™ã‚‹ã€‚\\ -　文å—列を引数ã¨ã™ã‚‹å ´åˆï¼Œä¾‹ãˆã°ï¼Œæ–‡å—列を連çµã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰concatã§ã¯ï¼Œ\\ -　　　concat("a","b")\\ -　ã¨ã™ã‚‹ãŒï¼ŒCindyscriptã®æ–‡å—列ã®å‡¦ç†ã®é–¢ä¿‚ã§ï¼Œç¬¬ï¼‘引数ã§ã¯ã“ã®å½¢ã§è¨˜è¿°ã§ããªã„。\\ -　ã—ãŸãŒã£ã¦ï¼Œã“ã®ã‚ˆã†ãªå ´åˆã¯ï¼Œç¬¬ï¼’引数を使ã£ã¦\\ -　　　\verb|Mxfun("1","concat",["a","b"])| -　ã¨ã™ã‚Œã°ã‚ˆã„。\\ -　\\ -{\bf Cindyscriptã®å¾®åˆ†ã¨ã®é•ã„}\\ -　Cindyscriptã§ã‚‚微分ã¯ã§ãる。ãŸã¨ãˆã°ï¼Œ -\begin{verbatim} -　　f(x):=sin(x); -　　g(x):=d(f(#),x); -　　plot(g(#)); -\end{verbatim} -　ã¨ã™ã‚‹ã¨ï¼Œcos(x)ã®ã‚°ãƒ©ãƒ•ãŒæã‹ã‚Œã‚‹ã€‚\\ -　ã—ã‹ã—，Cindyscriptã®å¾®åˆ†ãŒï¼Œå¾®åˆ†ã®å®šç¾©ã«ã‚ˆã‚‹æ•°å€¤è¨ˆç®—ã§ã‚ã‚‹ã®ã«å¯¾ã—，Maximaã§ã¯æ•°å¼å‡¦ç†ã¨ã—ã¦å¾®åˆ†ãŒã§ãる。\\ -　ãã®æ„味ã®é•ã„ã¯ï¼Œæ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トã§ç¢ºã‹ã‚られる。 -\begin{verbatim} -　　f(x):=sin(x); -　　g(x):=d(f(#),x); -　　println(g(x)); -\end{verbatim} -　ã§ã¯ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã®ã¯æœªå®šç¾©å€¤ï¼ˆ\_ \_ \_） ã§ã‚る。\\ +\item[関数] Mxfun(name，å¼ï¼Œãƒªã‚¹ãƒˆï¼Œoption) +\item[機能] Maximaã®é–¢æ•°ã‚’実行ã™ã‚‹ +\item[説明] 第2引数ã®ã€Œå¼ã€ã¯Maximaã®é–¢æ•°å。第3引数ã®ãƒªã‚¹ãƒˆã¯é–¢æ•°ã«æ¸¡ã™å¼•æ•°ã®ãƒªã‚¹ãƒˆã€‚ + +戻り値ã¯ï¼Œç¬¬ï¼‘引数ã®å¼ã«ï¼‘ã¤ã§ã‚‚æ–‡å—ãŒã‚ã‚‹ã¨æ–‡å—列ã¨ãªã‚‹ã€‚ã™ã¹ã¦æ•°å—（+,-, . ã‚’å«ã‚€ï¼‰ã®å ´åˆã¯ +16æ¡ä»¥ä¸‹ã§ã‚ã‚Œã°æ•°ï¼Œãれ以上ã®å ´åˆã¯æ–‡å—列ã¨ãªã‚‹ã€‚ã¾ãŸï¼Œæˆ»ã‚Šå€¤ã¯ï¼Œå¤‰æ•° mxname ã«ã‚‚代入ã•ã‚Œã‚‹ã€‚ + +オプション㫠"Disp=no" ã‚’ã¤ã‘ã‚‹ã¨ï¼Œçµæžœã‚’コンソールã«è¡¨ç¤ºã—ãªã„。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘$10!$を求ã‚る。 + + \verb|Mxfun("1","10!",[]);| + + を実行ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã« mx1 is 362880 ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã“ã®å€¤ã¯å¤‰æ•° mx1 ã«ä»£å…¥ã•ã‚Œã¦ã„ã‚‹ã®ã§ï¼Œ + + \verb|drawtext([0,1],mx1);| + +ã¨ã™ã‚Œã°Cinderellaã®æç”»é¢ä¸Šã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚mx1ã®ã‹ã‚ã‚Šã«ï¼Œæˆ»ã‚Šå€¤ã‚’変数ã«ä»£å…¥ã—ã¦ä½¿ã†ã“ã¨ã‚‚ã§ãる。 + +\begin{verbatim} + fact10=Mxfun("1","10!",[]); + drawtext([0,1],fact10); +\end{verbatim} + +\vspace{\baselineskip} +ã€ä¾‹ã€‘$f(x)=\sin x$ を微分ã™ã‚‹ + + \verb|Mxfun("1", "diff",["sin(x)","x"])| + + ã¨ã™ã‚‹ã¨ + + diff(sin(x),x) + + ã¨ã„ã†ã‚³ãƒžãƒ³ãƒ‰ã‚’Maximaã«æ¸¡ã—ã¦ï¼Œæˆ»ã‚Šå€¤ã‚’Cindyã®å¤‰æ•°mx1ã«ä»£å…¥ã™ã‚‹ã€‚ + + \verb|Mxfun("1", "diff(sin(x),x)",[]])| + + ã¨ï¼Œç¬¬ï¼‘引数ã«ã¾ã¨ã‚ã¦ã‚‚åŒã˜çµæžœã«ãªã‚‹ã€‚ãŸã ã—，ã“ã®å ´åˆï¼Œç¬¬2引数ã¯ç©ºãƒªã‚¹ãƒˆã¨ã™ã‚‹ã€‚ + + æ–‡å—列を引数ã¨ã™ã‚‹å ´åˆï¼Œä¾‹ãˆã°ï¼Œæ–‡å—列を連çµã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰concatã§ã¯ï¼Œ + + concat("a","b") + + ã¨ã™ã‚‹ãŒï¼ŒCindyscriptã®æ–‡å—列ã®å‡¦ç†ã®é–¢ä¿‚ã§ï¼Œç¬¬ï¼‘引数ã§ã¯ã“ã®å½¢ã§è¨˜è¿°ã§ããªã„。 + + ã—ãŸãŒã£ã¦ï¼Œã“ã®ã‚ˆã†ãªå ´åˆã¯ï¼Œç¬¬2引数を使ã£ã¦ + + \verb|Mxfun("1","concat",["a","b"])| + + ã¨ã™ã‚Œã°ã‚ˆã„。 + +\vspace{\baselineskip} +{\bf Cindyscriptã®å¾®åˆ†ã¨ã®é•ã„} + + Cindyscriptã§ã‚‚微分ã¯ã§ãる。ãŸã¨ãˆã°ï¼Œ +\begin{verbatim} + f(x):=sin(x); + g(x):=d(f(#),x); + plot(g(#)); +\end{verbatim} + ã¨ã™ã‚‹ã¨ï¼Œcos(x)ã®ã‚°ãƒ©ãƒ•ãŒæã‹ã‚Œã‚‹ã€‚ + + ã—ã‹ã—，Cindyscriptã®å¾®åˆ†ãŒï¼Œå¾®åˆ†ã®å®šç¾©ã«ã‚ˆã‚‹æ•°å€¤è¨ˆç®—ã§ã‚ã‚‹ã®ã«å¯¾ã—，Maximaã§ã¯æ•°å¼å‡¦ç†ã¨ã—ã¦å¾®åˆ†ãŒã§ãる。 + + ãã®æ„味ã®é•ã„ã¯ï¼Œæ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トã§ç¢ºã‹ã‚られる。 +\begin{verbatim} + f(x):=sin(x); + g(x):=d(f(#),x); + println(g(x)); +\end{verbatim} + ã§ã¯ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã®ã¯æœªå®šç¾©å€¤ï¼ˆ\_ \_ \_） ã§ã‚る。 + 一方， \begin{verbatim} -　　Mxfun("1", "diff",["sin(x)","x"]); -　　println(mx1); + Mxfun("1", "diff",["sin(x)","x"]); + println(mx1); \end{verbatim} -ã§ã¯ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã« \verb|cos(x)| ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ +ã§ã¯ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã« \verb|cos(x)| ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ + mx1ã¯æ–‡å—列ã§ã‚ã‚‹ã®ã§ï¼Œ \begin{verbatim} -　　g(x):=parse(mx1); -\end{verbatim} -ã¨ã™ã‚Œã°ï¼Œg(x)を導関数ã¨ã™ã‚‹ã“ã¨ãŒã§ã，\verb|plot(g(#))| ã§ã‚°ãƒ©ãƒ•ã‚’æãã“ã¨ãŒã§ãる。\\ -　ã¾ãŸï¼ŒCindyscriptã®å¾®åˆ†ã§ã¯ï¼Œï¼“階ã‹ï¼”階ã¾ã§ã®å°Žé–¢æ•°ãŒè¨ˆç®—上ã®é™åº¦ã§ã‚ã‚‹ã®ã«å¯¾ã—，Maximaãªã‚‰ä½•éšŽã§ã‚‚微分ãŒã§ãã‚‹ã®ã§ï¼Œãƒ†ã‚¤ãƒ©ãƒ¼å±•é–‹ãªã©ã§æœ‰åˆ©ã§ã‚る。\\ -　\\ -　\\ -例　$\sin x$ 㮠テイラー展開を行ã„，グラフを表示ã™ã‚‹ã€‚ -\begin{verbatim} -　　Mxfun("1","taylor",["sin(x)","x",0,7],[""]); -　　Plotdata("1","sin(x)","x",["da"]); -　　Plotdata("2",mx1,"x"); -\end{verbatim} -　\\ -　　　　\input{Fig/taylor} -　\\ -Mxtex() を用ã„ã¦ï¼ŒMxfun()ã®çµæžœã® mx1ã‚’TeX書å¼ã«ã—ã¦è¡¨ç¤ºã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ -　　\verb|Expr([[1,2],"e",Mxtex("1",mx1)]);|\\ -ã‚’è¿½åŠ ã™ã‚Œã°[1,2]ã®ä½ç½®ã«å¼ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -　\\ -　\\ -{\bf 応用例：接線ã®æ–¹ç¨‹å¼ã‚’作る}\\ -　\\ -　$f(x)=\dfrac{e^x+e^{-x}}{2}$ ã®ï¼Œ$x=a$ã«ãŠã‘る接線ã®æ–¹ç¨‹å¼ã‚’作る。\\ -　関数å¼ã‚’æ–‡å—列ã«ã—ã¦ãŠã，Assign() を用ã„ã¦å¤‰æ•°$x$ã‚’$a$ã«å¤‰ãˆã‚Œã°ï¼Œ$f(a)$ã®å¼ã‚’作るã“ã¨ãŒã§ãる。導関数ã«ã¤ã„ã¦ã‚‚åŒæ§˜ã«ã™ã‚‹ã€‚\\ -\begin{verbatim} -　　fx="(exp(x)+exp(-x))/2"; -　　gx=Mxfun("1","diff",[fx,"x"]); -　　fa=Assign(fx,["x","a"]); -　　ga=Assign(gx,["x","a"]); -　　tf=ga+"*(x-a)+("+fa+")"; -　　println(tf); -\end{verbatim} -　コンソールã«ã¯ -\begin{verbatim} -　　(%e^a-%e^-a)/2*(x-a)+((exp(a)+exp(-a))/2) + g(x):=parse(mx1); \end{verbatim} -ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -　\\ +ã¨ã™ã‚Œã°ï¼Œg(x)を導関数ã¨ã™ã‚‹ã“ã¨ãŒã§ã，\verb|plot(g(#))| ã§ã‚°ãƒ©ãƒ•ã‚’æãã“ã¨ãŒã§ãる。 + + ã¾ãŸï¼ŒCindyscriptã®å¾®åˆ†ã§ã¯ï¼Œ3階ã‹4階ã¾ã§ã®å°Žé–¢æ•°ãŒè¨ˆç®—上ã®é™åº¦ã§ã‚ã‚‹ã®ã«å¯¾ã—，Maximaãªã‚‰ä½•éšŽã§ã‚‚微分ãŒã§ãã‚‹ã®ã§ï¼Œãƒ†ã‚¤ãƒ©ãƒ¼å±•é–‹ãªã©ã§æœ‰åˆ©ã§ã‚る。 + +\vspace{\baselineskip} +\vspace{\baselineskip} +例 $\sin x$ 㮠テイラー展開を行ã„，グラフを表示ã™ã‚‹ã€‚ +\begin{verbatim} + Mxfun("1","taylor",["sin(x)","x",0,7],[""]); + Plotdata("1","sin(x)","x",["da"]); + Plotdata("2",mx1,"x"); +\end{verbatim} +\vspace{\baselineskip} + \begin{center} \input{Fig/taylor} \end{center} +\vspace{\baselineskip} +Mxtex() を用ã„ã¦ï¼ŒMxfun()ã®çµæžœã® mx1ã‚’TeX書å¼ã«ã—ã¦è¡¨ç¤ºã™ã‚‹ã“ã¨ã‚‚ã§ãる。 + + \verb|Expr([[1,2],"e",Mxtex("1",mx1)]);| + +ã‚’è¿½åŠ ã™ã‚Œã°[1,2]ã®ä½ç½®ã«å¼ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ + +\vspace{\baselineskip} +{\bf 応用ã€ä¾‹ã€‘接線ã®æ–¹ç¨‹å¼ã‚’作る} + +\vspace{\baselineskip} + $f(x)=\dfrac{e^x+e^{-x}}{2}$ ã®ï¼Œ$x=a$ã«ãŠã‘る接線ã®æ–¹ç¨‹å¼ã‚’作る。 + + 関数å¼ã‚’æ–‡å—列ã«ã—ã¦ãŠã，Assign() を用ã„ã¦å¤‰æ•°$x$ã‚’$a$ã«å¤‰ãˆã‚Œã°ï¼Œ$f(a)$ã®å¼ã‚’作るã“ã¨ãŒã§ãる。導関数ã«ã¤ã„ã¦ã‚‚åŒæ§˜ã«ã™ã‚‹ã€‚ + +\begin{verbatim} + fx="(exp(x)+exp(-x))/2"; + gx=Mxfun("1","diff",[fx,"x"]); + fa=Assign(fx,["x","a"]); + ga=Assign(gx,["x","a"]); + tf=ga+"*(x-a)+("+fa+")"; + println(tf); +\end{verbatim} + コンソールã«ã¯ +\begin{verbatim} + (%e^a-%e^-a)/2*(x-a)+((exp(a)+exp(-a))/2) +\end{verbatim} +ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{\baselineskip} \hypertarget{mxtex}{} -\item[関数]　Mxtex(name,å¼) -\item[機能]　å¼ã‚’TeX書å¼ã«ã™ã‚‹ -\item[説明]　第２引数ã®å¼ã¯ï¼Œç›´æŽ¥æ›¸ã„ãŸå¼ã‚‚ã—ãã¯Mxfunã®æˆ»ã‚Šå€¤ã€‚ã“れをTeXã®æ›¸å¼ã«ã™ã‚‹ã€‚\\ -戻り値ã¯ï¼Œå¤‰æ•° txname ã«ã‚‚代入ã•ã‚Œã‚‹ã€‚\\ -　\\ -例：部分分数ã¸ã®åˆ†è§£ +\item[関数] Mxtex(name,å¼) +\item[機能] å¼ã‚’TeX書å¼ã«ã™ã‚‹ +\item[説明] 第2引数ã®å¼ã¯ï¼Œç›´æŽ¥æ›¸ã„ãŸå¼ã‚‚ã—ãã¯Mxfunã®æˆ»ã‚Šå€¤ã€‚ã“れをTeXã®æ›¸å¼ã«ã™ã‚‹ã€‚ + +戻り値ã¯ï¼Œå¤‰æ•° txname ã«ã‚‚代入ã•ã‚Œã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘部分分数ã¸ã®åˆ†è§£ \begin{spacing}{1.5} -　部分分数$\dfrac{x^3}{(x+1)(x+2)}$ã®åˆ†è§£ã‚’Maximaã§è¡Œã„，ãã®çµæžœã‚’TeX書å¼ã«ã—ã¦ç”»é¢ã«è¡¨ç¤ºã™ã‚‹ã€‚ç”»é¢ã«è¡¨ç¤ºã•ã‚ŒãŸçµæžœã¯ãã®ã¾ã¾KeTCindyã§å‡ºåŠ›ã§ãる。 + 部分分数$\dfrac{x^3}{(x+1)(x+2)}$ã®åˆ†è§£ã‚’Maximaã§è¡Œã„，ãã®çµæžœã‚’TeX書å¼ã«ã—ã¦ç”»é¢ã«è¡¨ç¤ºã™ã‚‹ã€‚ç”»é¢ã«è¡¨ç¤ºã•ã‚ŒãŸçµæžœã¯ãã®ã¾ã¾\ketcindy ã§å‡ºåŠ›ã§ãる。 \end{spacing} - \begin{verbatim} -　　Mxfun("1","partfrac",["x^3/((x+1)*(x+2))","x"]); -　　Mxtex("1",mx1); -　　Expr([0,1],"e",tx1); -\end{verbatim} -　ã“ã“ã§ï¼Œmx1，tx1ã¯ãã‚Œãžã‚ŒMxfun("1",・・) , Mxtex"1",・・) ã®çµæžœï¼ˆæˆ»ã‚Šå€¤ï¼‰ã§ã‚る。mx1，tx1 ã¯ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ã‚‚表示ã•ã‚Œï¼Œtx1ã¯æ¬¡ã®ã‚ˆã†ã«ãªã£ã¦ã„る。 -\begin{verbatim} -　　\frac{8}{x+2}-\frac{1}{x+1}+x-3 -\end{verbatim} -　Cindyscriptã¯TeX書å¼ã‚’サãƒãƒ¼ãƒˆã—ã¦ã„ã‚‹ã®ã§ã“ã‚Œã§æç”»é¢ã«åˆ†æ•°å¼ãŒè¡¨ç¤ºã•ã‚Œã‚‹ãŒï¼ŒTexã®æ–‡æ›¸ã§ã¯ï¼Œ\verb|\frac{}{}| ã§ã¯ãªã，\verb|\dfrac{}{}|を使ã†ã“ã¨ãŒå¤šã„。ãã“ã§ï¼ŒAssign()を用ã„ã¦ï¼Œ"frac" ã‚’ "dfrac" ã«å¤‰ãˆã‚Œã°ï¼Œãã®ã¾ã¾Tex文書ã§ä½¿ãˆã‚‹ã€‚ãŸã ã—，Cindyscript㯠\verb|\dfrac{}{}| をサãƒãƒ¼ãƒˆã—ã¦ã„ãªã„ã®ã§ï¼Œç”»é¢ä¸Šã§ã¯åˆ†æ•°è¡¨è¨˜ã«ãªã‚‰ãªã„。ãã®ã‚ãŸã‚Šã®äº‹æƒ…を次ã®ã‚¹ã‚¯ãƒªãƒ—トã§ç¤ºã™ã€‚ -\begin{verbatim} -　　fx="x^3/((x+1)*(x+2))"; -　　pfx=Mxfun("1","partfrac",[fx,"x"]); -　　form=Mxtex("1",fx)+"="+Mxtex("2",pfx); -　　dform=Assign(form,["frac","dfrac"]); -　　Letter([0,5],"e","部分分数ã¸ã®åˆ†è§£ã€€$"+form+"$"); -　　Letter([0,3],"e","部分分数ã¸ã®åˆ†è§£ã€€$"+dform+"$"); -\end{verbatim} -Cinderellaã®æç”»é¢ã§ã¯æ¬¡ã®ã‚ˆã†ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -　\\ -　　　　\includegraphics[bb=0 0 694 232 , width=8cm]{Fig/mxtex01.png}\\ -　\\ -出力ã—ãŸTeX挿入図ã§ã¯æ¬¡ã®ã‚ˆã†ã«ãªã‚‹ã€‚\\ -　\\ -　　\input{Fig/mxtex02}\\ -　\\ -ãªãŠï¼Œæ–‡å—列を置æ›ã™ã‚‹ã®ã«ï¼Œ\verb|Assign(form,["frac","dfrac"])| ã§ã¯ãªã，\\ -Cindyscriptã®æ–‡å—列ã®é–¢æ•° replace を用ã„ã¦ï¼Œ\\ -　　　\verb|dform=replace(form,"frac","dfrac");| \\ -ã¨ã—ã¦ã‚‚よã„。\\ -　\\ -例：２次関数ã®ã‚°ãƒ©ãƒ•ã‚’表示ã—，$x$軸ã¨ã®äº¤ç‚¹ã®$x$座標を表示ã™ã‚‹ã€‚ -\begin{verbatim} -　　fx="x^2-x-3"; -　　cmdL=[ -　　 "ans:solve",[fx,"x"], -　　 "ans",[] -　　]; -　　CalcbyM("ans",cmdL); -　　p1=indexof(ans,"["); -　　p2=indexof(ans,","); -　　p3=indexof(ans,"]"); -　　s1=substring(ans,p1,p2-1); -　　s2=substring(ans,p2,p3-1); -　　s1=replace(s1,"x =",""); -　　s2=replace(s2,"x =",""); -　　Mxtex("1",s1); -　　Mxtex("2",s2); -　　Plotdata("1",fx,"x"); -　　Expr([-2,-0.5],"e",tx1); -　　Expr([2,-0.5],"e",tx2); -\end{verbatim} -　\\ -　　　　　　　\input{Fig/mxtex03}\\ -　\\ -　ã“ã“ã§ï¼Œ\verb|CalcbyM("ans",cmdL);| ã§å¾—られるansã¯ï¼Œæ¬¡ã®ã‚ˆã†ãªæ–‡å—列ã§ã‚る。\\ -　　　　\verb|"[x = -(sqrt(13)-1)/2,x = (sqrt(13)+1)/2] "|\\ -ãã“ã§ï¼Œã“ã“ã‹ã‚‰ï¼’ã¤ã®å¼ã ã‘を抽出ã™ã‚‹ä½œæ¥ã‚’è¡Œã£ãŸã®ã¡ï¼ŒMxtex() ã§TeXã®å¼ã‚’å¾—ã¦ã„る。\\ -　ã•ã‚‰ã«å¿œç”¨ã¨ã—ã¦ï¼Œç‚¹Aã‚’Cinderellaã®ä½œå›³ãƒ„ールã§ä½œå›³ã—， -\begin{verbatim} -　　if(A.y<0, -　　 fx="(x-"+text(A.x)+")^2"+guess(A.y), -　　 fx="(x-"+text(A.x)+")^2+"+guess(A.y); -　　); -\end{verbatim} -ã¨ã™ã‚‹ã¨ï¼Œç‚¹Aã‚’é ‚ç‚¹ã¨ã™ã‚‹æ”¾ç‰©ç·šã¨è»¸ã¨ã®äº¤ç‚¹ã®åº§æ¨™ãŒæã‹ã‚Œã‚‹ã€‚Maximaã¨ã®ãƒ‡ãƒ¼ã‚¿ã®ã‚„ã‚Šå–ã‚Šã‚’ã™ã‚‹ãŸã‚ã®ã‚¿ã‚¤ãƒ ラグãŒã‚ã‚‹ãŒï¼Œã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ã«æ”¾ç‰©ç·šã®ä½ç½®ã‚’変ãˆã‚‹ã“ã¨ãŒã§ãる。\\ -　\\ -＜å‚考＞\\ -　２次関数ã®ã‚ˆã†ãªç°¡å˜ãªé–¢æ•°ã§ã‚ã‚Œã°ï¼ŒCindyscriptã® roots() 関数を用ã„ã¦ï¼’次方程å¼ãŒè§£ã‘ã‚‹ã®ã§ï¼Œæ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トã§ã»ã¼åŒã˜å‹•ä½œã‚’ã™ã‚‹ã‚‚ã®ã‚’作るã“ã¨ãŒã§ãる。「ã»ã¼ã€ã¨ã„ã†ã®ã¯ç‚¹Aã®ä½ç½®ã«ã‚ˆã£ã¦ã¯ï¼Œguess()ã§è§£é‡ˆã—ãã‚Œãªã„ã“ã¨ãŒã‚ã‚‹ãŸã‚ã§ã‚る。Maximaを使ãˆã°æ•°å¼å‡¦ç†ã§è§£ã‚’求ã‚ã‚‹ã®ã§ï¼ŒAãŒã©ã“ã«ã‚ã£ã¦ã‚‚ãã‚Œã„ã«è¡¨ç¤ºã§ãる。 -\begin{verbatim} -　　fx="x^2-2*A.x*x+A.x^2+A.y"; -　　cf=[A.x^2+A.y,-2*A.x,1]; -　　sol=roots(cf); -　　s1=guess(sol_2); -　　s2=guess(sol_1); -　　Mxtex("1",s1); -　　Mxtex("2",s2); -　　Plotdata("1",fx,"x"); -　　Expr([-2,-0.5],"e",tx1); -　　Expr([2,-0.5],"e",tx2); + Mxfun("1","partfrac",["x^3/((x+1)*(x+2))","x"]); + Mxtex("1",mx1); + Expr([0,1],"e",tx1); +\end{verbatim} + ã“ã“ã§ï¼Œmx1，tx1ã¯ãã‚Œãžã‚ŒMxfun("1",・・) , Mxtex"1",・・) ã®çµæžœï¼ˆæˆ»ã‚Šå€¤ï¼‰ã§ã‚る。mx1，tx1 ã¯ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ã‚‚表示ã•ã‚Œï¼Œtx1ã¯æ¬¡ã®ã‚ˆã†ã«ãªã£ã¦ã„る。 +\begin{verbatim} + \frac{8}{x+2}-\frac{1}{x+1}+x-3 \end{verbatim} + Cindyscriptã¯TeX書å¼ã‚’サãƒãƒ¼ãƒˆã—ã¦ã„ã‚‹ã®ã§ã“ã‚Œã§æç”»é¢ã«åˆ†æ•°å¼ãŒè¡¨ç¤ºã•ã‚Œã‚‹ãŒï¼ŒTexã®æ–‡æ›¸ã§ã¯ï¼Œ\verb|\frac{}{}| ã§ã¯ãªã，\verb|\dfrac{}{}|を使ã†ã“ã¨ãŒå¤šã„。ãã“ã§ï¼ŒAssign()を用ã„ã¦ï¼Œ"frac" ã‚’ "dfrac" ã«å¤‰ãˆã‚Œã°ï¼Œãã®ã¾ã¾Tex文書ã§ä½¿ãˆã‚‹ã€‚ãŸã ã—，Cindyscript㯠\verb|\dfrac{}{}| をサãƒãƒ¼ãƒˆã—ã¦ã„ãªã„ã®ã§ï¼Œç”»é¢ä¸Šã§ã¯åˆ†æ•°è¡¨è¨˜ã«ãªã‚‰ãªã„。ãã®ã‚ãŸã‚Šã®äº‹æƒ…を次ã®ã‚¹ã‚¯ãƒªãƒ—トã§ç¤ºã™ã€‚ +\begin{verbatim} + fx="x^3/((x+1)*(x+2))"; + pfx=Mxfun("1","partfrac",[fx,"x"]); + form=Mxtex("1",fx)+"="+Mxtex("2",pfx); + dform=Assign(form,["frac","dfrac"]); + Letter([0,5],"e","部分分数ã¸ã®åˆ†è§£ $"+form+"$"); + Letter([0,3],"e","部分分数ã¸ã®åˆ†è§£ $"+dform+"$"); +\end{verbatim} +Cinderellaã®æç”»é¢ã§ã¯æ¬¡ã®ã‚ˆã†ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ -\end{description} +\vspace{\baselineskip} +\hspace{20mm} \includegraphics[bb=0 0 347.02 116.01 , width=8cm]{Fig/mxtex01.pdf} + +\vspace{\baselineskip} +出力ã—ãŸTeX挿入図ã§ã¯æ¬¡ã®ã‚ˆã†ã«ãªã‚‹ã€‚ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage +%\vspace{\baselineskip} +\input{Fig/mxtex02} +ãªãŠï¼Œæ–‡å—列を置æ›ã™ã‚‹ã®ã«ï¼Œ\verb|Assign(form,["frac","dfrac"])| ã§ã¯ãªã， -%　Scilabã¨ã®é€£æºã€€================================== -\subsection{Scilabã¨ã®é€£æº} -　KeTCindyã¯ï¼Œã‚‚ã¨ã‚‚㨠Scilab ã¨é€£æºã—ã¦ï¼ŒCinderellaã‹ã‚‰ã®å‡ºåŠ›ã‚’TeXã®ãƒ†ã‚ストã¨ã™ã‚‹ã‚·ã‚¹ãƒ†ãƒ ã§ã‚る。ã—ã‹ã—，ãã‚Œã ã‘ã§ãªã，Maximaãªã©ã¨ã®é€£æºã¨åŒæ§˜ï¼ŒScilab ã®é–¢æ•°ã‚’実行ã—ã¦ï¼Œãƒ‡ãƒ¼ã‚¿ã‚’ã‚„ã‚Šã¨ã‚Šã™ã‚‹ã“ã¨ãŒã§ãる。\\ -　KeTCindyã§ã¯ï¼Œkc.bat/shã«ã‚ˆã£ã¦ã‚³ãƒžãƒ³ãƒ‰ã‚’Scilabã«æ¸¡ã—，çµæžœã‚’テã‚ストファイルã§å—ã‘å–る。ã“ã®ã¨ã，Scilabã¨ã®ã‚„ã‚Šã¨ã‚Šã§ï¼Œæ¬¡ã®ã‚ˆã†ãªãƒ•ã‚¡ã‚¤ãƒ«ãŒä½œæ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã«ä½œæˆã•ã‚Œã‚‹ã€‚\\ -æ‹¡å¼µå sci ：Scilab用ã®ãƒ•ã‚¡ã‚¤ãƒ«\\ -æ‹¡å¼µå txt：データファイル\\ -ã“ã®ãƒ‡ãƒ¼ã‚¿ã®ã‚„ã‚Šå–ã‚Šã«é–¢ã™ã‚‹æ¬¡ã®ã‚ªãƒ—ションãŒã‚る。\\ -　オプションãªã—ã¾ãŸã¯ï¼Œâ€â€ ã®ã¨ã\\ -　　i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る\\ -　　ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれをèªã¿è¾¼ã‚€\\ -　"m" ã®ã¨ã，強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚\\ -　"r" ã®ã¨ã，ã™ã§ã«ã‚るデータファイルをèªã¿è¾¼ã‚€ã€‚\\ -　ã“ã®ã¨ã，ファイルã®èªã¿æ›¸ãã§ä¸å…·åˆãŒã‚ã‚‹ã¨ï¼Œæ•°ç§’ã®å¾Œã€Œ==$>$ file.txt not generated (5 s ) ã€ã®ã‚ˆã†ãªã‚¨ãƒ©ãƒ¼ãƒ¡ãƒƒã‚»ãƒ¼ã‚¸ãŒã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã“ã®ã‚ˆã†ãªå ´åˆã¯ä½œæ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã®è¨å®šãªã©ã‚’確èªã—ã¦ã„ãŸã ããŸã„。ã“ã®å¾…ã¡æ™‚é–“ã«ã¤ã„ã¦ã¯ï¼ŒWaitオプションã§è¨å®šã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ +Cindyscriptã®æ–‡å—列ã®é–¢æ•° replace を用ã„ã¦ï¼Œ -\begin{description} +\hspace{10mm} \verb|dform=replace(form,"frac","dfrac");| + +ã¨ã—ã¦ã‚‚よã„。 -\hypertarget{calcbyS}{} -\item[関数]　CalcbyS(name，コマンド，option) -\item[機能]　Scilabã®ã‚³ãƒžãƒ³ãƒ‰ã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹ -\item[説明]　第２引数ã¯Scilabã§å®Ÿè¡Œã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰ã®ãƒªã‚¹ãƒˆã€‚\\ -　\\ -\hypertarget{plotdataS}{} -\item[関数]　PlotdataS(name，関数，変数) -\item[機能]　Plotdataã¨åŒæ§˜ã®æ›¸å¼ã§ï¼ŒScilabã®é–¢æ•°ã‚’実行ã™ã‚‹ -\item[説明]　Cindyscriptã®çµ„込関数ã«ãªã„関数ã®ã‚°ãƒ©ãƒ•ã‚’æãã“ã¨ãŒã§ãる。\\ -　\\ -例：ベッセル関数ã®ã‚°ãƒ©ãƒ•ã‚’æã +%\vspace{10mm} + +\vspace{\baselineskip} +ã€ä¾‹ã€‘2次関数ã®ã‚°ãƒ©ãƒ•ã‚’表示ã—，$x$軸ã¨ã®äº¤ç‚¹ã®$x$座標を表示ã™ã‚‹ã€‚ + +\begin{layer}{150}{0} +\putnotese{70}{50}{ \input{Fig/mxtex03}} +\end{layer} \begin{verbatim} -　　PlotdataS("1","besselj(1,x)","x"); + fx="x^2-x-3"; + cmdL=[ + "ans:solve",[fx,"x"], + "ans",[] + ]; + CalcbyM("ans",cmdL); + p1=indexof(ans,"["); + p2=indexof(ans,","); + p3=indexof(ans,"]"); + s1=substring(ans,p1,p2-1); + s2=substring(ans,p2,p3-1); + s1=replace(s1,"x =",""); + s2=replace(s2,"x =",""); + Mxtex("1",s1); + Mxtex("2",s2); + Plotdata("1",fx,"x"); + Expr([-2,-0.5],"e",tx1); + Expr([2,-0.5],"e",tx2); +\end{verbatim} + +ã“ã“ã§ï¼Œ\verb|CalcbyM("ans",cmdL);| ã§å¾—られるansã¯ï¼Œæ¬¡ã®ã‚ˆã†ãªæ–‡å—列ã§ã‚る。 + + \verb|"[x = -(sqrt(13)-1)/2,x = (sqrt(13)+1)/2] "| + +ãã“ã§ï¼Œã“ã“ã‹ã‚‰2ã¤ã®å¼ã ã‘を抽出ã™ã‚‹ä½œæ¥ã‚’è¡Œã£ãŸã®ã¡ï¼ŒMxtex() ã§TeXã®å¼ã‚’å¾—ã¦ã„る。 + +ã•ã‚‰ã«å¿œç”¨ã¨ã—ã¦ï¼Œç‚¹Aã‚’Cinderellaã®ä½œå›³ãƒ„ールã§ä½œå›³ã—， +\begin{verbatim} + if(A.y<0, + fx="(x-"+text(A.x)+")^2"+guess(A.y), + fx="(x-"+text(A.x)+")^2+"+guess(A.y); + ); +\end{verbatim} +ã¨ã™ã‚‹ã¨ï¼Œç‚¹Aã‚’é ‚ç‚¹ã¨ã™ã‚‹æ”¾ç‰©ç·šã¨è»¸ã¨ã®äº¤ç‚¹ã®åº§æ¨™ãŒæã‹ã‚Œã‚‹ã€‚Maximaã¨ã®ãƒ‡ãƒ¼ã‚¿ã®ã‚„ã‚Šå–ã‚Šã‚’ã™ã‚‹ãŸã‚ã®ã‚¿ã‚¤ãƒ ラグãŒã‚ã‚‹ãŒï¼Œã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ã«æ”¾ç‰©ç·šã®ä½ç½®ã‚’変ãˆã‚‹ã“ã¨ãŒã§ãる。 + +\vspace{\baselineskip} +＜å‚考＞ + + 2次関数ã®ã‚ˆã†ãªç°¡å˜ãªé–¢æ•°ã§ã‚ã‚Œã°ï¼ŒCindyscriptã® roots() 関数を用ã„ã¦2次方程å¼ãŒè§£ã‘ã‚‹ã®ã§ï¼Œæ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トã§ã»ã¼åŒã˜å‹•ä½œã‚’ã™ã‚‹ã‚‚ã®ã‚’作るã“ã¨ãŒã§ãる。「ã»ã¼ã€ã¨ã„ã†ã®ã¯ç‚¹Aã®ä½ç½®ã«ã‚ˆã£ã¦ã¯ï¼Œguess()ã§è§£é‡ˆã—ãã‚Œãªã„ã“ã¨ãŒã‚ã‚‹ãŸã‚ã§ã‚る。Maximaを使ãˆã°æ•°å¼å‡¦ç†ã§è§£ã‚’求ã‚ã‚‹ã®ã§ï¼ŒAãŒã©ã“ã«ã‚ã£ã¦ã‚‚ãã‚Œã„ã«è¡¨ç¤ºã§ãる。 +\begin{verbatim} + fx="x^2-2*A.x*x+A.x^2+A.y"; + cf=[A.x^2+A.y,-2*A.x,1]; + sol=roots(cf); + s1=guess(sol_2); + s2=guess(sol_1); + Mxtex("1",s1); + Mxtex("2",s2); + Plotdata("1",fx,"x"); + Expr([-2,-0.5],"e",tx1); + Expr([2,-0.5],"e",tx2); \end{verbatim} \end{description} -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} \newpage -%　Risa/Asirã¨ã®é€£æºã€€================================== + + +% Risa/Asirã¨ã®é€£æº ================================== \subsection{Risa/Asirã¨ã®é€£æº} \begin{description} \hypertarget{calcbyA}{} -\item[関数]　CalcbyA(name，コマンド，option) -\item[機能]　Risa/Asirã®ã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹ -\item[説明]　第２引数ã¯Risa/Asirã§å®Ÿè¡Œã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰ã€‚\\ -　コマンドã¨å¼•æ•°ãƒªã‚¹ãƒˆã®ç¹°ã‚Šè¿”ã—ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆï¼ˆä¾‹ãˆã°cmdL）を作ã£ã¦ï¼Œä¸€åº¦ã«å®Ÿè¡Œã™ã‚‹ã€‚\\ -　戻り値ã¯ãªã„。（未定義値）　çµæžœã¯ï¼Œã‚³ãƒžãƒ³ãƒ‰ãƒªã‚¹ãƒˆã®æœ€å¾Œã«è¨˜è¿°ã—ãŸå¤‰æ•°ï¼ˆå¼•æ•°ã¯ç©ºãƒªã‚¹ãƒˆï¼‰ã®å€¤ãŒname ã§æŒ‡å®šã•ã‚ŒãŸå¤‰æ•°ã«ä»£å…¥ã•ã‚Œã‚‹ã€‚複数ã®çµæžœã‚’戻ã™ã¨ãã¯ï¼Œ:: ã§åŒºåˆ‡ã£ã¦è¨˜è¿°ã™ã‚‹ã¨ãƒªã‚¹ãƒˆã«ã—ã¦ä»£å…¥ã•ã‚Œã‚‹ã€‚\\ +\item[関数] CalcbyA(name，コマンド，option) +\item[機能] Risa/Asirã®ã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹ +\item[説明] 第2引数ã¯Risa/Asirã§å®Ÿè¡Œã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰ã€‚ + + コマンドã¨å¼•æ•°ãƒªã‚¹ãƒˆã®ç¹°ã‚Šè¿”ã—ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆï¼ˆä¾‹ãˆã°cmdL）を作ã£ã¦ï¼Œä¸€åº¦ã«å®Ÿè¡Œã™ã‚‹ã€‚ + + 戻り値ã¯ãªã„。（未定義値） çµæžœã¯ï¼Œã‚³ãƒžãƒ³ãƒ‰ãƒªã‚¹ãƒˆã®æœ€å¾Œã«è¨˜è¿°ã—ãŸå¤‰æ•°ï¼ˆå¼•æ•°ã¯ç©ºãƒªã‚¹ãƒˆï¼‰ã®å€¤ãŒname ã§æŒ‡å®šã•ã‚ŒãŸå¤‰æ•°ã«ä»£å…¥ã•ã‚Œã‚‹ã€‚複数ã®çµæžœã‚’戻ã™ã¨ãã¯ï¼Œ:: ã§åŒºåˆ‡ã£ã¦è¨˜è¿°ã™ã‚‹ã¨ãƒªã‚¹ãƒˆã«ã—ã¦ä»£å…¥ã•ã‚Œã‚‹ã€‚ + +\vspace{\baselineskip} \hypertarget{asirfun}{} -\item[関数]　Asirfun(name，å¼ï¼Œãƒªã‚¹ãƒˆï¼Œoption) -\item[機能]　Risa/Asirã®é–¢æ•°ã‚’実行ã™ã‚‹ -\item[説明]　第２引数ã®ã€Œå¼ã€ã¯Risa/Asirã®é–¢æ•°å。第３引数ã®ãƒªã‚¹ãƒˆã¯é–¢æ•°ã«æ¸¡ã™å¼•æ•°ã®ãƒªã‚¹ãƒˆã€‚\\ -　戻り値ã¯ï¼Œç¬¬ï¼‘引数ã®å¼ã«ï¼‘ã¤ã§ã‚‚æ–‡å—ãŒã‚ã‚‹ã¨æ–‡å—列ã¨ãªã‚‹ã€‚ã™ã¹ã¦æ•°å—（+,-, . ã‚’å«ã‚€ï¼‰ã®å ´åˆã¯ -16æ¡ä»¥ä¸‹ã§ã‚ã‚Œã°æ•°ï¼Œãれ以上ã®å ´åˆã¯æ–‡å—列ã¨ãªã‚‹ã€‚ã¾ãŸï¼Œæˆ»ã‚Šå€¤ã¯ï¼Œå¤‰æ•° asname ã«ã‚‚代入ã•ã‚Œã‚‹ã€‚\\ -オプション㫠"Disp=no" ã‚’ã¤ã‘ã‚‹ã¨ï¼Œçµæžœã‚’コンソールã«è¡¨ç¤ºã—ãªã„。\\ +\item[関数] Asirfun(name，å¼ï¼Œãƒªã‚¹ãƒˆï¼Œoption) +\item[機能] Risa/Asirã®é–¢æ•°ã‚’実行ã™ã‚‹ +\item[説明] 第2引数ã®ã€Œå¼ã€ã¯Risa/Asirã®é–¢æ•°å。第3引数ã®ãƒªã‚¹ãƒˆã¯é–¢æ•°ã«æ¸¡ã™å¼•æ•°ã®ãƒªã‚¹ãƒˆã€‚ + +戻り値ã¯ï¼Œç¬¬ï¼‘引数ã®å¼ã«ï¼‘ã¤ã§ã‚‚æ–‡å—ãŒã‚ã‚‹ã¨æ–‡å—列ã¨ãªã‚‹ã€‚ã™ã¹ã¦æ•°å—（+,-, . ã‚’å«ã‚€ï¼‰ã®å ´åˆã¯ +16æ¡ä»¥ä¸‹ã§ã‚ã‚Œã°æ•°ï¼Œãれ以上ã®å ´åˆã¯æ–‡å—列ã¨ãªã‚‹ã€‚ã¾ãŸï¼Œæˆ»ã‚Šå€¤ã¯ï¼Œå¤‰æ•° asname ã«ã‚‚代入ã•ã‚Œã‚‹ã€‚ + +オプション㫠"Disp=no" ã‚’ã¤ã‘ã‚‹ã¨ï¼Œçµæžœã‚’コンソールã«è¡¨ç¤ºã—ãªã„。 + \end{description} -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} \newpage -%　FriCASã¨ã®é€£æºã€€================================== +% FriCASã¨ã®é€£æº ================================== \subsection{FriCAS(Axiom)ã¨ã®é€£æº} \begin{description} \hypertarget{calcbyF}{} -\item[関数]　CalcbyF(name，コマンド，option) -\item[機能]　FriCASã®ã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹ -\item[説明]　第２引数ã¯FriCASã§å®Ÿè¡Œã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰ã€‚\\ -　コマンドã¨å¼•æ•°ãƒªã‚¹ãƒˆã®ç¹°ã‚Šè¿”ã—ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆï¼ˆä¾‹ãˆã°cmdL）を作ã£ã¦ï¼Œä¸€åº¦ã«å®Ÿè¡Œã™ã‚‹ã€‚\\ -　戻り値ã¯ãªã„。（未定義値）　çµæžœã¯ï¼Œã‚³ãƒžãƒ³ãƒ‰ãƒªã‚¹ãƒˆã®æœ€å¾Œã«è¨˜è¿°ã—ãŸå¤‰æ•°ï¼ˆå¼•æ•°ã¯ç©ºãƒªã‚¹ãƒˆï¼‰ã®å€¤ãŒname ã§æŒ‡å®šã•ã‚ŒãŸå¤‰æ•°ã«ä»£å…¥ã•ã‚Œã‚‹ã€‚複数ã®çµæžœã‚’戻ã™ã¨ãã¯ï¼Œ:: ã§åŒºåˆ‡ã£ã¦è¨˜è¿°ã™ã‚‹ã¨ãƒªã‚¹ãƒˆã«ã—ã¦ä»£å…¥ã•ã‚Œã‚‹ã€‚\\ +\item[関数] CalcbyF(name，コマンド，option) +\item[機能] FriCASã®ã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹ +\item[説明] 第2引数ã¯FriCASã§å®Ÿè¡Œã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰ã€‚ + +コマンドã¨å¼•æ•°ãƒªã‚¹ãƒˆã®ç¹°ã‚Šè¿”ã—ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆï¼ˆä¾‹ãˆã°cmdL）を作ã£ã¦ï¼Œä¸€åº¦ã«å®Ÿè¡Œã™ã‚‹ã€‚ +戻り値ã¯ãªã„。（未定義値） çµæžœã¯ï¼Œã‚³ãƒžãƒ³ãƒ‰ãƒªã‚¹ãƒˆã®æœ€å¾Œã«è¨˜è¿°ã—ãŸå¤‰æ•°ï¼ˆå¼•æ•°ã¯ç©ºãƒªã‚¹ãƒˆï¼‰ã®å€¤ãŒname ã§æŒ‡å®šã•ã‚ŒãŸå¤‰æ•°ã«ä»£å…¥ã•ã‚Œã‚‹ã€‚複数ã®çµæžœã‚’戻ã™ã¨ãã¯ï¼Œ:: ã§åŒºåˆ‡ã£ã¦è¨˜è¿°ã™ã‚‹ã¨ãƒªã‚¹ãƒˆã«ã—ã¦ä»£å…¥ã•ã‚Œã‚‹ã€‚ + + +\vspace{\baselineskip} \hypertarget{frfun}{} -\item[関数]　Frfun(name，å¼ï¼Œãƒªã‚¹ãƒˆï¼Œoption) -\item[機能]　FriCASã®é–¢æ•°ã‚’実行ã™ã‚‹ -\item[説明]　第２引数ã®ã€Œå¼ã€ã¯FriCASã®é–¢æ•°å。第３引数ã®ãƒªã‚¹ãƒˆã¯é–¢æ•°ã«æ¸¡ã™å¼•æ•°ã®ãƒªã‚¹ãƒˆã€‚\\ -　戻り値ã¯ï¼Œç¬¬ï¼‘引数ã®å¼ã«ï¼‘ã¤ã§ã‚‚æ–‡å—ãŒã‚ã‚‹ã¨æ–‡å—列ã¨ãªã‚‹ã€‚ã™ã¹ã¦æ•°å—（+,-, . ã‚’å«ã‚€ï¼‰ã®å ´åˆã¯ -16æ¡ä»¥ä¸‹ã§ã‚ã‚Œã°æ•°ï¼Œãれ以上ã®å ´åˆã¯æ–‡å—列ã¨ãªã‚‹ã€‚ã¾ãŸï¼Œæˆ»ã‚Šå€¤ã¯ï¼Œå¤‰æ•° friname ã«ã‚‚代入ã•ã‚Œã‚‹ã€‚\\ -オプション㫠"Disp=no" ã‚’ã¤ã‘ã‚‹ã¨ï¼Œçµæžœã‚’コンソールã«è¡¨ç¤ºã—ãªã„。\\ +\item[関数] Frfun(name，å¼ï¼Œãƒªã‚¹ãƒˆï¼Œoption) +\item[機能] FriCASã®é–¢æ•°ã‚’実行ã™ã‚‹ +\item[説明] 第2引数ã®ã€Œå¼ã€ã¯FriCASã®é–¢æ•°å。第3引数ã®ãƒªã‚¹ãƒˆã¯é–¢æ•°ã«æ¸¡ã™å¼•æ•°ã®ãƒªã‚¹ãƒˆã€‚ + +戻り値ã¯ï¼Œç¬¬ï¼‘引数ã®å¼ã«ï¼‘ã¤ã§ã‚‚æ–‡å—ãŒã‚ã‚‹ã¨æ–‡å—列ã¨ãªã‚‹ã€‚ã™ã¹ã¦æ•°å—（+,-, . ã‚’å«ã‚€ï¼‰ã®å ´åˆã¯ +16æ¡ä»¥ä¸‹ã§ã‚ã‚Œã°æ•°ï¼Œãれ以上ã®å ´åˆã¯æ–‡å—列ã¨ãªã‚‹ã€‚ã¾ãŸï¼Œæˆ»ã‚Šå€¤ã¯ï¼Œå¤‰æ•° friname ã«ã‚‚代入ã•ã‚Œã‚‹ã€‚ + +オプション㫠"Disp=no" ã‚’ã¤ã‘ã‚‹ã¨ï¼Œçµæžœã‚’コンソールã«è¡¨ç¤ºã—ãªã„。 + \end{description} -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} \newpage -%　MeshLabã¨ã®é€£æºã€€================================== +% MeshLabã¨ã®é€£æº ================================== \subsection{MeshLabã¨ã®é€£æº} -MeshLabã¯ï¼Œ3Dデータ（objデータãªã©ï¼‰ã‚’èªã¿è¾¼ã‚“ã§ãƒ¬ã‚¤ãƒˆãƒ¬ãƒ¼ã‚·ãƒ³ã‚°ã§è¡¨ç¤ºãƒ»ç·¨é›†ã™ã‚‹ã‚½ãƒ•ãƒˆã‚¦ã‚§ã‚¢ã§ã‚る。レイトレーシングã§3Dグラフィクスをæãã«ã¯ï¼ŒCinderellaã¨è¦ªå’Œæ€§ã®é«˜ã„ Cindy3D を利用ã™ã‚‹ã®ãŒã‚ˆã„ãŒï¼ŒMeshLabを使ã†ãƒ¡ãƒªãƒƒãƒˆã¯3Dプリンタ用ã®STLファイルを出力ã§ãã‚‹ã“ã¨ã§ã‚る。ã¾ãŸï¼ŒKeTCindyã§æã„ãŸ3Dã®å›³ãŒãƒ¬ã‚¤ãƒˆãƒ¬ãƒ¼ã‚·ãƒ³ã‚°ã§ã©ã®ã‚ˆã†ã«ãªã‚‹ã®ã‹ã‚’見るã“ã¨ã‚‚比較的簡å˜ã«ã§ãる。\\ -　MeshLabã¨ã®é€£æºã¯ï¼ŒKeTCindyã‹ã‚‰ Obj å½¢å¼ã®ãƒ‡ãƒ¼ã‚¿ã‚’書ã出ã™ã“ã¨ã§è¡Œã†ã€‚Mkobj**() 関数ã§ãƒ‡ãƒ¼ã‚¿ã‚’作り，Mkviewobj() 関数ã§MeshLabを呼ã³å‡ºã—ã¦è¡¨ç¤ºã‚’è¡Œã†ã€‚\\ -　ãªãŠï¼ŒMkviewobj() 関数ã§MeshLabを呼ã³å‡ºã—ã¦è¡¨ç¤ºã‚’è¡Œã†å ´åˆï¼Œã“れをDrawスãƒãƒƒãƒˆã«æ›¸ãã¨é »ç¹ã«å‘¼ã³å‡ºã—ãŒè¡Œã‚れるãŸã‚éžåŠ¹çŽ‡ã¨ãªã‚‹ã€‚ãã“ã§ï¼Œif(1==0,・・・) ã§ãƒ»ãƒ»ãƒ»ã®éƒ¨åˆ†ã«MeshLabã®å‘¼ã³å‡ºã—関係ã®ã‚¹ã‚¯ãƒªãƒ—トを書ã„ã¦ï¼Œå®Ÿéš›ã«å‘¼ã³å‡ºã™ã¨ãã« if(1==1,・・・)ã¨ã™ã‚‹æ–¹æ³•ã¨ï¼Œå‘¼ã³å‡ºã—関係ã®ã‚¹ã‚¯ãƒªãƒ—トを関数化ã—ã¦ãƒœã‚¿ãƒ³ã«å‰²ã‚Šå½“ã¦ã‚‹æ–¹æ³•ãŒã‚る。ketcindyパッケージã«å«ã¾ã‚Œã‚‹ sample ã«ãƒœã‚¿ãƒ³ã‚’ã¤ã‘ãŸã‚‚ã®ãŒã‚る。\\ -　ãªãŠï¼Œï¼“Dã§ã‚ã‚‹ã®ã§ï¼ŒInitialization スãƒãƒƒãƒˆã«\\ -　　\verb|Ketinit();| -　　\verb|Ketinit3d();| +MeshLabã¯ï¼Œ3Dデータ（objデータãªã©ï¼‰ã‚’èªã¿è¾¼ã‚“ã§ãƒ¬ã‚¤ãƒˆãƒ¬ãƒ¼ã‚·ãƒ³ã‚°ã§è¡¨ç¤ºãƒ»ç·¨é›†ã™ã‚‹ã‚½ãƒ•ãƒˆã‚¦ã‚§ã‚¢ã§ã‚る。レイトレーシングã§3Dグラフィクスをæãã«ã¯ï¼ŒCinderellaã¨è¦ªå’Œæ€§ã®é«˜ã„ Cindy3D を利用ã™ã‚‹ã®ãŒã‚ˆã„ãŒï¼ŒMeshLabを使ã†ãƒ¡ãƒªãƒƒãƒˆã¯3Dプリンタ用ã®STLファイルを出力ã§ãã‚‹ã“ã¨ã§ã‚る。ã¾ãŸï¼Œ\ketcindy ã§æã„ãŸ3Dã®å›³ãŒãƒ¬ã‚¤ãƒˆãƒ¬ãƒ¼ã‚·ãƒ³ã‚°ã§ã©ã®ã‚ˆã†ã«ãªã‚‹ã®ã‹ã‚’見るã“ã¨ã‚‚比較的簡å˜ã«ã§ãる。 + +MeshLabã¨ã®é€£æºã¯ï¼Œ\ketcindy ã‹ã‚‰ Obj å½¢å¼ã®ãƒ‡ãƒ¼ã‚¿ã‚’書ã出ã™ã“ã¨ã§è¡Œã†ã€‚Mkobj**() 関数ã§ãƒ‡ãƒ¼ã‚¿ã‚’作り，Mkviewobj() 関数ã§MeshLabを呼ã³å‡ºã—ã¦è¡¨ç¤ºã‚’è¡Œã†ã€‚ + +ãªãŠï¼ŒMkviewobj() 関数ã§MeshLabを呼ã³å‡ºã—ã¦è¡¨ç¤ºã‚’è¡Œã†å ´åˆï¼Œã“れをDrawスãƒãƒƒãƒˆã«æ›¸ãã¨é »ç¹ã«å‘¼ã³å‡ºã—ãŒè¡Œã‚れるãŸã‚éžåŠ¹çŽ‡ã¨ãªã‚‹ã€‚ãã“ã§ï¼Œif(1==0,・・・) ã§ãƒ»ãƒ»ãƒ»ã®éƒ¨åˆ†ã«MeshLabã®å‘¼ã³å‡ºã—関係ã®ã‚¹ã‚¯ãƒªãƒ—トを書ã„ã¦ï¼Œå®Ÿéš›ã«å‘¼ã³å‡ºã™ã¨ãã« if(1==1,・・・)ã¨ã™ã‚‹æ–¹æ³•ã¨ï¼Œå‘¼ã³å‡ºã—関係ã®ã‚¹ã‚¯ãƒªãƒ—トを関数化ã—ã¦ãƒœã‚¿ãƒ³ã«å‰²ã‚Šå½“ã¦ã‚‹æ–¹æ³•ãŒã‚る。ketcindyパッケージã«å«ã¾ã‚Œã‚‹ sample ã«ãƒœã‚¿ãƒ³ã‚’ã¤ã‘ãŸã‚‚ã®ãŒã‚る。 + + ãªãŠï¼Œ3Dã§ã‚ã‚‹ã®ã§ï¼ŒInitialization スãƒãƒƒãƒˆã« + + \verb|Ketinit();| + \verb|Ketinit3d();| を記述ã—ã¦ãŠã。 \begin{description} \hypertarget{mkobjcmd}{} -\item[関数]　Mkobjcmd(name，å¼ï¼Œoption) -\item[機能]　厚ã¿ã‚’æŒãŸãªã„曲é¢ã®objファイルã®ãŸã‚ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’作æˆã™ã‚‹ -\item[説明]　オプション㯠[分割数1，分割数2，表å´ã®æ–¹å‘ã®æŒ‡å®š]\\ -表å´ã®æ–¹å‘ã¯ï¼Œå¤‰æ•°ã«å¯¾ã—ã¦ï¼Œå³æ‰‹ç³»ã®æ–¹å‘ãŒ"+"\\ -作æˆã•ã‚Œã‚‹ãƒ‡ãƒ¼ã‚¿ã¯"oc"+name ã®ãƒ•ã‚¡ã‚¤ãƒ«åã® obj データã§ã‚る。ã“ã®å称ã¯ï¼ŒMkviewobj() ã§ç”¨ã„る。（以下，Mkobj**()関数ã§ã¯åŒæ§˜ï¼‰\\ -\\ +\item[関数] Mkobjcmd(name，å¼ï¼Œoption) +\item[機能] 厚ã¿ã‚’æŒãŸãªã„曲é¢ã®objファイルã®ãŸã‚ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’作æˆã™ã‚‹ +\item[説明] オプション㯠[分割数1，分割数2，表å´ã®æ–¹å‘ã®æŒ‡å®š] + +表å´ã®æ–¹å‘ã¯ï¼Œå¤‰æ•°ã«å¯¾ã—ã¦ï¼Œå³æ‰‹ç³»ã®æ–¹å‘ãŒ"+" + +作æˆã•ã‚Œã‚‹ãƒ‡ãƒ¼ã‚¿ã¯"oc"+name ã®ãƒ•ã‚¡ã‚¤ãƒ«åã® obj データã§ã‚る。ã“ã®å称ã¯ï¼ŒMkviewobj() ã§ç”¨ã„る。（以下，Mkobj**()関数ã§ã¯åŒæ§˜ï¼‰ + +\vspace{\baselineskip} ã€ä¾‹ã€‘ï¼šã‚µãƒ‰ãƒ«é¢ \begin{verbatim} -　　fd=[ "z=x^2-y^2", "x=[-1,1]","y=[-1,1]"," "]; -　　Sf3data("1",fd); -　　Windispg(); -　　Mkobjcmd("1",fd,[40,40,"-"]); -　　Meshlab():=( -　　　Mkviewobj("saddle",oc1, ["m","v"]); -　　); + fd=[ "z=x^2-y^2", "x=[-1,1]","y=[-1,1]"," "]; + Sf3data("1",fd); + Windispg(); + Mkobjcmd("1",fd,[40,40,"-"]); + Meshlab():=( + Mkviewobj("saddle",oc1, ["m","v"]); + ); \end{verbatim} ã“ã®ã†ã¡ï¼Œ\verb|Sf3data("1",fd); | ã¯Cinderellaã®ç”»é¢ã«è¡¨ç¤ºã™ã‚‹ãŸã‚ã§ã‚ã£ã¦ï¼Œãªãã¦ã‚‚よã„。 -次図ã§ï¼Œå·¦ãŒ option + ã®å ´åˆï¼Œå³ãŒ - ã®å ´åˆã§ã‚る。\\ -\includegraphics[bb=0 0 1359 527 , width=12cm]{Fig3d/meshlab01.png} -　\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +次図ã§ï¼Œå·¦ãŒ option + ã®å ´åˆï¼Œå³ãŒ - ã®å ´åˆã§ã‚る。 + +\includegraphics[bb=0 0 679.53 263.51 , width=12cm]{Fig/meshlab01.pdf} +\vspace{\baselineskip} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\vspace{\baselineskip} \hypertarget{mkobjcrvcmd}{} -\item[関数]　Mkobjcrvcmd(name，PD，option) -\item[機能]　空間曲線（直線）ã®objファイルã®ãŸã‚ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’ä½œæˆ -\item[説明]　オプション㯠[太ã•ï¼Œæ–é¢ã®å½¢çŠ¶ï¼ˆæ£å¤šè§’形）ã®è¾ºã®æ•°ï¼Œæ–é¢ã®æ£é¢]\\ -曲線ã¯ç´ã®ã‚ˆã†ãªã‚‚ã®ã§è¡¨ã™ã€‚ãã®æ–é¢ã¯æ£å¤šè§’å½¢ã§ï¼Œãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯æ£6角形ã§ã‚る。æ–é¢ã®æ£é¢ã¯"xy","yz","zx"ã®ã„ãšã‚Œã‹ã§æŒ‡å®šã™ã‚‹ã€‚太ããªã£ãŸæ™‚ã«å½¢çŠ¶ã®å·®ãŒç¾ã‚Œã‚‹ã€‚ +\item[関数] Mkobjcrvcmd(name，PD，option) +\item[機能] 空間曲線（直線）ã®objファイルã®ãŸã‚ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’ä½œæˆ +\item[説明] オプション㯠[太ã•ï¼Œæ–é¢ã®å½¢çŠ¶ï¼ˆæ£å¤šè§’形）ã®è¾ºã®æ•°ï¼Œæ–é¢ã®æ£é¢] + +曲線ã¯ç´ã®ã‚ˆã†ãªã‚‚ã®ã§è¡¨ã™ã€‚ãã®æ–é¢ã¯æ£å¤šè§’å½¢ã§ï¼Œ åˆæœŸè¨å®šã¯æ£6角形ã§ã‚る。æ–é¢ã®æ£é¢ã¯"xy","yz","zx"ã®ã„ãšã‚Œã‹ã§æŒ‡å®šã™ã‚‹ã€‚太ããªã£ãŸæ™‚ã«å½¢çŠ¶ã®å·®ãŒç¾ã‚Œã‚‹ã€‚ -例　太ã•0.03ã§èžºæ—‹ã‚’æã +例 太ã•0.03ã§èžºæ—‹ã‚’æã \begin{verbatim} -　Spacecurve("1","[(6*pi-t)/(6*pi)*cos(t),(6*pi-t)/(6*pi)*sin(t),0.1*t]", -　　"t=[0,6*pi]",["Num=200"]); -　Windispg(); -　Mkobjcrvcmd("1","sc3d1",[0.03]); -　Meshlab():=( -　Mkviewobj("spiral",oc1,["m","v"]); -　); + Spacecurve("1","[(6*pi-t)/(6*pi)*cos(t),(6*pi-t)/(6*pi)*sin(t),0.1*t]", + "t=[0,6*pi]",["Num=200"]); + Windispg(); + Mkobjcrvcmd("1","sc3d1",[0.03]); + Meshlab():=( + Mkviewobj("spiral",oc1,["m","v"]); + ); \end{verbatim} -\verb| Mkobjcrvcmd("1","sc3d1",[0.1,8,"yz"]);| ã¨ã—ãŸã®ãŒä¸‹å›³å³ã€‚\\ +\verb| Mkobjcrvcmd("1","sc3d1",[0.1,8,"yz"]);| ã¨ã—ãŸã®ãŒä¸‹å›³å³ã€‚ -　\includegraphics[bb=0 0 1229 473 , width=12cm]{Fig3d/meshlab02.png}\\ -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + \includegraphics[bb=0 0 614.53 236.51 , width=12cm]{Fig/meshlab02.pdf} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{\baselineskip} \hypertarget{mkobjnrm}{} -\item[関数]　Mkobjnrm(name，å¼) -\item[機能]　法線ベクトルã®ãƒ‡ãƒ¼ã‚¿ã‚’ä½œæˆ -\item[説明]　å¼ã¯æ›²é¢ã‚’表ã™å¼ã€‚ã“ã‚Œã«å¯¾ã—，法線ベクトルを表ã™å¼ã‚’求ã‚る。\\ +\item[関数] Mkobjnrm(name，å¼) +\item[機能] 法線ベクトルã®ãƒ‡ãƒ¼ã‚¿ã‚’ä½œæˆ +\item[説明] å¼ã¯æ›²é¢ã‚’表ã™å¼ã€‚ã“ã‚Œã«å¯¾ã—，法線ベクトルを表ã™å¼ã‚’求ã‚る。 +\vspace{\baselineskip} \hypertarget{mkobjplatecmd}{} -\item[関数]　Mkobjplatecmd(name，é¢ãƒ‡ãƒ¼ã‚¿ï¼Œoptions) -\item[機能]　é¢ã‚’æã -\item[説明]　é¢ãƒ‡ãƒ¼ã‚¿ã‚’渡ã—ã¦é¢ã‚’æã。\\ -options ã¯ï¼Œé¢ã®åŽšã¿ã®æŒ‡å®šã€‚厚ã¿ã¯ä¸å¿ƒç·šã«å¯¾ã—，両å´ã«ã¤ã‘ã‚‹ã“ã¨ãŒã§ãる。\\ -ãŸã¨ãˆã°ï¼Œ[0.05] ã¯ãƒ—ラスå´ã« 0.05 ã®åŽšã¿ï¼Œ[0.05,-0.04] ã¯ãƒžã‚¤ãƒŠã‚¹å´ã«ã‚‚0.04ã®åŽšã¿ã‚’ã¤ã‘る。\\ +\item[関数] Mkobjplatecmd(name，é¢ãƒ‡ãƒ¼ã‚¿ï¼Œoptions) +\item[機能] é¢ã‚’æã +\item[説明] é¢ãƒ‡ãƒ¼ã‚¿ã‚’渡ã—ã¦é¢ã‚’æã。 + +options ã¯ï¼Œé¢ã®åŽšã¿ã®æŒ‡å®šã€‚厚ã¿ã¯ä¸å¿ƒç·šã«å¯¾ã—，両å´ã«ã¤ã‘ã‚‹ã“ã¨ãŒã§ãる。 +ãŸã¨ãˆã°ï¼Œ[0.05] ã¯ãƒ—ラスå´ã« 0.05 ã®åŽšã¿ï¼Œ[0.05,-0.04] ã¯ãƒžã‚¤ãƒŠã‚¹å´ã«ã‚‚0.04ã®åŽšã¿ã‚’ã¤ã‘る。 + +\vspace{\baselineskip} ã€ä¾‹ã€‘三角形ã®ãƒ—レートをæã + +\begin{layer}{150}{0} +\putnotese{80}{15}{ \includegraphics[bb=0 0 287.01 228.01 , width=3cm]{Fig/meshlab03.pdf} } +\end{layer} \begin{verbatim} -　Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]"); -　p1=[2,0,0]; -　p2=[0,2,0]; -　p3=[0,0,2]; -　plane=[[p1,p2,p3],[[1,2,3]]]; -　Mkobjplatecmd("1",plane,[0.05]); -　Mkobjcrvcmd("2","ax3d"); -　Mkviewobj("plane",Concatcmd([oc1,oc2]),["m","v"]); + Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]"); + p1=[2,0,0]; + p2=[0,2,0]; + p3=[0,0,2]; + plane=[[p1,p2,p3],[[1,2,3]]]; + Mkobjplatecmd("1",plane,[0.05]); + Mkobjcrvcmd("2","ax3d"); + Mkviewobj("plane",Concatcmd([oc1,oc2]),["m","v"]); \end{verbatim} -　　　　 　\includegraphics[bb=0 0 574 456 , width=5cm]{Fig3d/meshlab03.png}\\ - +\vspace{\baselineskip} \hypertarget{mkobjpolycmd}{} -\item[関数]　Mkobjpolycmd(name，PD，options) -\item[機能]　多é¢ä½“ã‚’æã -\item[説明]　VertexEdgeFace() ã®æˆ»ã‚Šå€¤ã‚’ PDã¨ã—ã¦æ¸¡ã—ã¦å¤šé¢ä½“ã‚’æã。\\ - +\item[関数] Mkobjpolycmd(name，PD，options) +\item[機能] 多é¢ä½“ã‚’æã +\item[説明] VertexEdgeFace() ã®æˆ»ã‚Šå€¤ã‚’ PDã¨ã—ã¦æ¸¡ã—ã¦å¤šé¢ä½“ã‚’æã。 - +\vspace{\baselineskip} \hypertarget{mkobjsymbcmd}{} -\item[関数]　Mkobjsymbcmd(PD, 実数，実数，ベクトル, ベクトル) -\item[機能]　文å—ç‰ã®objデータã®ãŸã‚ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’ä½œæˆ -\item[説明]　引数ã®PDã‚’æã。第２引数ã¯å¤§ãã•ï¼Œç¬¬ï¼“引数ã¯å›žè»¢è§’，第４引数ã¯æ£é¢æ–¹å‘ã®ãƒ™ã‚¯ãƒˆãƒ«ï¼Œç¬¬ï¼•å¼•æ•°ã¯PDã®ä¸å¿ƒã®ä½ç½®ã€‚\\ -PDã¯ï¼Œå¹³é¢ã®æ画コマンドã«ã‚ˆã‚‹ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ãŒä½¿ãˆã‚‹ã€‚ã¾ãŸï¼ŒPD ã«åŠè§’アルファベットを文å—ã¨ã—ã¦ä¸Žãˆã‚‹ã“ã¨ãŒã§ãる。ã“ã®å ´åˆï¼Œæ–‡å—㯠n,p,q,r,t,x,y,z ã§ï¼Œè©²å½“ã™ã‚‹ãƒ•ã‚©ãƒ³ãƒˆãŒ data フォルダ㮠fontF フォルダã«ç”¨æ„ã•ã‚Œã¦ã„る。ã“ã®ä¸ã«ãªã„フォントã¯ä½¿ãˆãªã„。　\\ -ã€ä¾‹ã€‘軸ã®åå‰ x,y,z を表示ã—，円をæã。\\ -円㯠Circledata(); ã§ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’作æˆã™ã‚‹ã€‚\\ -\begin{verbatim} -\end{verbatim} +\item[関数] Mkobjsymbcmd(PD, 実数，実数，ベクトル, ベクトル) +\item[機能] æ–‡å—ç‰ã®objデータã®ãŸã‚ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’ä½œæˆ +\item[説明] 引数ã®PDã‚’æã。第2引数ã¯å¤§ãã•ï¼Œç¬¬3引数ã¯å›žè»¢è§’，第4引数ã¯æ£é¢æ–¹å‘ã®ãƒ™ã‚¯ãƒˆãƒ«ï¼Œç¬¬5引数ã¯PDã®ä¸å¿ƒã®ä½ç½®ã€‚ +PDã¯ï¼Œå¹³é¢ã®æ画コマンドã«ã‚ˆã‚‹ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ãŒä½¿ãˆã‚‹ã€‚ã¾ãŸï¼ŒPD ã«åŠè§’アルファベットを文å—ã¨ã—ã¦ä¸Žãˆã‚‹ã“ã¨ãŒã§ãる。ã“ã®å ´åˆï¼Œæ–‡å—㯠n,p,q,r,t,x,y,z ã§ï¼Œè©²å½“ã™ã‚‹ãƒ•ã‚©ãƒ³ãƒˆãŒ data フォルダ㮠fontF フォルダã«ç”¨æ„ã•ã‚Œã¦ã„る。ã“ã®ä¸ã«ãªã„フォントã¯ä½¿ãˆãªã„。 +\vspace{\baselineskip} \hypertarget{mkobjthickcmd}{} -\item[関数]　Mkobjthickcmd(name，å¼) -\item[機能]　厚ã¿ã‚’æŒã¤æ›²é¢ã®objファイルã®ãŸã‚ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’ä½œæˆ -\item[説明]　オプション㯠[分割数1，分割数2，厚ã¿ï¼Œè¡¨å´ã®æ–¹å‘ã®æŒ‡å®šï¼Œæ¡ä»¶] +\item[関数] Mkobjthickcmd(name，å¼) +\item[機能] 厚ã¿ã‚’æŒã¤æ›²é¢ã®objファイルã®ãŸã‚ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’ä½œæˆ +\item[説明] オプション㯠[分割数1，分割数2，厚ã¿ï¼Œè¡¨å´ã®æ–¹å‘ã®æŒ‡å®šï¼Œæ¡ä»¶] 表å´ã®æ–¹å‘ã¯ï¼Œå¤‰æ•°ã«å¯¾ã—ã¦ï¼Œå³æ‰‹ç³»ã®æ–¹å‘ãŒ"+"。厚ã¿ã‚’æŒã¤ãŸã‚，nsew ã®ãã‚Œãžã‚Œã«ã¤ã„ã¦ï¼Œ -"+n+s-e-w" ã®ã‚ˆã†ã«æŒ‡å®šã™ã‚‹ã€‚\\ -æ¡ä»¶ã¨ã—ã¦ï¼Œ\verb|"Assume(R>0)"| ã‚’ã¤ã‘ã‚‹ã¨ï¼ŒRãŒ0以下ã«ãªã‚‹ãŸã‚ã®ä¸å…·åˆã‚’回é¿ã§ãる。\\ +"+n+s-e-w" ã®ã‚ˆã†ã«æŒ‡å®šã™ã‚‹ã€‚ + +æ¡ä»¶ã¨ã—ã¦ï¼Œ\verb|"Assume(R>0)"| ã‚’ã¤ã‘ã‚‹ã¨ï¼ŒRãŒ0以下ã«ãªã‚‹ãŸã‚ã®ä¸å…·åˆã‚’回é¿ã§ãる。 + ã¾ãŸï¼Œ"ratsimp" ã‚’ã¤ã‘ã‚‹ã¨æœ‰ç†é–¢æ•°ã«ã¤ã„ã¦ï¼Œ"trigsimp"ã‚’ã¤ã‘ã‚‹ã¨ä¸‰è§’関数ã«ã¤ã„ã¦ï¼Œå‡¦ç†ã‚’速ãã™ã‚‹ã“ã¨ãŒã§ãる。 -ãªãŠï¼Œã“ã®é–¢æ•°ã¯Maximaを使ã†ã®ã§ï¼ŒMaximaをインストールã—ã¦ã„ã‚‹ã“ã¨ãŒå‰æ。\\ + +ãªãŠï¼Œã“ã®é–¢æ•°ã¯Maximaを使ã†ã®ã§ï¼ŒMaximaをインストールã—ã¦ã„ã‚‹ã“ã¨ãŒå‰æ。 + +\vspace{\baselineskip} ã€ä¾‹ã€‘回転放物線 + +\begin{layer}{150}{0} +\putnotese{70}{0}{ \includegraphics[bb=0 0 287.01 189.01 , width=4cm]{Fig/meshlab06.pdf}} +\end{layer} \begin{verbatim} -　fd=[ -　"z=(x^2+y^2)", -　"x=R*cos(T)","y=R*sin(T)", -　"R=[0,2]","T=[0,2*pi]","e" -　]; -　Mkobjthickcmd("1",fd,[40,40,0.2,"+n+s-e-w+","assume(R>0)"]); -　Mkviewobj("pala",oc1,["m","v","Wait=5"]); + fd=[ + "z=(x^2+y^2)", + "x=R*cos(T)","y=R*sin(T)", + "R=[0,2]","T=[0,2*pi]","e" + ]; + Mkobjthickcmd("1",fd,[40,40,0.2,"+n+s-e-w+","assume(R>0)"]); + Mkviewobj("pala",oc1,["m","v","Wait=5"]); \end{verbatim} -　　　　 　\includegraphics[bb=0 0 574 378 , width=5cm]{Fig3d/meshlab06.png}\\ +%\begin{center} \includegraphics[bb=0 0 574 378 , width=5cm]{Fig/meshlab06.pdf}\end{center} + +\vspace{\baselineskip} \hypertarget{mkviewobj}{} -\item[関数]　Mkviewobj(name，PD, options) -\item[機能]　objファイルを作æˆã€‚optionã«ã‚ˆã‚Š MeshLab ã‚’ç«‹ã¡ä¸Šã’ã¦è¡¨ç¤ºã™ã‚‹ã€‚ -\item[説明]　第２引数ã«è¤‡æ•°ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’与ãˆã‚‹ã¨ãã¯ï¼ŒConcatcmd() ã«ã‚ˆã‚Šï¼‘ã¤ã«ã¾ã¨ã‚る。 +\item[関数] Mkviewobj(name，PD, options) +\item[機能] objファイルを作æˆã€‚optionã«ã‚ˆã‚Š MeshLab ã‚’ç«‹ã¡ä¸Šã’ã¦è¡¨ç¤ºã™ã‚‹ã€‚ +\item[説明] 第2引数ã«è¤‡æ•°ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’与ãˆã‚‹ã¨ãã¯ï¼ŒConcatcmd() ã«ã‚ˆã‚Šï¼‘ã¤ã«ã¾ã¨ã‚る。 オプション㯠\begin{tabbing} 12345678901234567890\=\kill -　"m"ã¾ãŸã¯"make"　\> データを作る（指定ã—ãªã„å ´åˆã‚‚データãŒãªã‘ã‚Œã°ä½œã‚‹ï¼‰\\ -　"v"ã¾ãŸã¯"view"　　\>MeshLabã‚’ç«‹ã¡ä¸Šã’ã¦è¡¨ç¤ºã™ã‚‹\\ -　"W=n"　　　　　　\>作æˆã™ã‚‹ãŸã‚ã®å¾…ã¡æ™‚間。ｎ秒。ã“れをéŽãŽã‚‹ã¨çµ‚了ã™ã‚‹\\ -　"Unit=mm"　　　　\>Setunitlen()ã¨é€£å‹•ã—ã¦ï¼“Ｄプリンタã®æ•°å€¤ã®å˜ä½ã‚’mmã§æŒ‡å®šã™ã‚‹\\ -　　\>３DプリンターãŒã‚¤ãƒ³ãƒã§èªè˜ã™ã‚‹å ´åˆã¯ "Unit=in" ã¨ã™ã‚‹ã€‚\\ + "m"ã¾ãŸã¯"make" \> データを作る（指定ã—ãªã„å ´åˆã‚‚データãŒãªã‘ã‚Œã°ä½œã‚‹ï¼‰\\ + "v"ã¾ãŸã¯"view" \>MeshLabã‚’ç«‹ã¡ä¸Šã’ã¦è¡¨ç¤ºã™ã‚‹\\ + "W=n" \>作æˆã™ã‚‹ãŸã‚ã®å¾…ã¡æ™‚間。ｎ秒。ã“れをéŽãŽã‚‹ã¨çµ‚了ã™ã‚‹\\ + "Unit=mm" \>Setunitlen()ã¨é€£å‹•ã—ã¦3Ｄプリンタã®æ•°å€¤ã®å˜ä½ã‚’mmã§æŒ‡å®šã™ã‚‹\\ + \>3DプリンターãŒã‚¤ãƒ³ãƒã§èªè˜ã™ã‚‹å ´åˆã¯ "Unit=in" ã¨ã™ã‚‹ã€‚\\ \end{tabbing} \end{description} -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} \newpage -%　表計算ソフトã¨ã®é€£æºã€€================================== +% 表計算ソフトã¨ã®é€£æº ================================== \subsection{表計算ソフトã¨ã®é€£æº} -表計算ソフトã§ã¯ï¼Œè¤‡æ•°ã®ã‚»ãƒ«ã‚’é¸æŠžã—ã¦ã‚³ãƒ”ー（Windowsã§ã¯ Crtl+ C ，Macã§ã¯ Command+C）ã™ã‚‹ã¨ï¼Œã‚»ãƒ«ã®å†…容ã¯tab区切りã®ãƒ†ã‚ストデータã¨ã—ã¦ã‚¯ãƒªãƒƒãƒ—ボードã«ã‚³ãƒ”ーã•ã‚Œã‚‹ã€‚ã“れをCindyscriptエディタã«ãƒšãƒ¼ã‚¹ãƒˆã™ã‚‹ã“ã¨ã§è¡¨è¨ˆç®—ソフトã®ãƒ‡ãƒ¼ã‚¿ã‚’KeTCindyã§åˆ©ç”¨ã§ãる。逆ã«ï¼ŒCindyscriptã®ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã¸ã®å‡ºåŠ›ã‚’表計算ソフトã®ã‚·ãƒ¼ãƒˆã«ã‚³ãƒ”ーã™ã‚‹ã“ã¨ã‚‚ã§ãる。 +表計算ソフトã§ã¯ï¼Œè¤‡æ•°ã®ã‚»ãƒ«ã‚’é¸æŠžã—ã¦ã‚³ãƒ”ー（Windowsã§ã¯ Crtl+ C ，Macã§ã¯ Command+C）ã™ã‚‹ã¨ï¼Œã‚»ãƒ«ã®å†…容ã¯tab区切りã®ãƒ†ã‚ストデータã¨ã—ã¦ã‚¯ãƒªãƒƒãƒ—ボードã«ã‚³ãƒ”ーã•ã‚Œã‚‹ã€‚ã“れをCindyscriptエディタã«ãƒšãƒ¼ã‚¹ãƒˆã™ã‚‹ã“ã¨ã§è¡¨è¨ˆç®—ソフトã®ãƒ‡ãƒ¼ã‚¿ã‚’\ketcindy ã§åˆ©ç”¨ã§ãる。逆ã«ï¼ŒCindyscriptã®ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã¸ã®å‡ºåŠ›ã‚’表計算ソフトã®ã‚·ãƒ¼ãƒˆã«ã‚³ãƒ”ーã™ã‚‹ã“ã¨ã‚‚ã§ãる。 ã¾ãŸï¼Œè¡¨è¨ˆç®—ソフトã‹ã‚‰æ›¸ã出ã—ãŸCSVファイルã«ã¤ã„ã¦ã‚‚åŒæ§˜ã«ã—ã¦CSVå½¢å¼ã®ãƒ‡ãƒ¼ã‚¿ã‚’扱ã†ã“ã¨ãŒã§ãる。 \begin{description} \hypertarget{tab2list}{} -\item[関数]　Tab2list(str，option) -\item[機能]　str ã®å†…容をリストã«å¤‰æ›ã™ã‚‹ -\item[説明]　tabやコンマ区切りã«ãªã£ã¦ã„ã‚‹æ–‡å—列 str をリストã«å¤‰æ›ã™ã‚‹ã€‚\\ -　optionã¯ï¼Œæ¬¡ã®é€šã‚Šã€‚\\ -　　Blank=a　：NULLã®ã‚»ãƒ«ã‚’aã«ç½®ãæ›ãˆã‚‹ã€‚\\ -　　Sep=b　　：セパレータ（区切り文å—）を b ã¨ã™ã‚‹ã€‚デフォルト㯠tabコード\\ - -次ã®ã‚ˆã†ãªæ‰‹é †ã§è¡¨è¨ˆç®—ソフトやCSVファイルã‹ã‚‰ãƒ‡ãƒ¼ã‚¿ã‚’KeTCindyã«ç§»ã™ã“ã¨ãŒã§ãる。\\ -　\\ -(1) Cindyscriptエディタã§ï¼Œé©å½“ãªæ–‡å—変数を用æ„ã™ã‚‹ã€‚\\ -　ãŸã¨ãˆã°ï¼Œdata="";\\ -　\\ -\includegraphics[bb=0 0 858 298 , width=10cm]{Fig/tab2list02.png}\\ -　\\ -(2) 表計算ソフトã§ï¼Œé©å½“ãªç¯„囲を指定ã—クリップボードã«ã‚³ãƒ”ーã™ã‚‹ã€‚\\ -　Windowsãªã‚‰ Ctrl+C，Macãªã‚‰ Command+C\\ -　\\ -\includegraphics[bb=0 0 742 308 , width=8cm]{Fig/tab2list01.png}\\ -　\\ -(3) data=""; ã®ãƒ€ãƒ–ルクウォートã®é–“ã«ãƒšãƒ¼ã‚¹ãƒˆã™ã‚‹ã€‚\\ -　最後ã®è¡Œã¯å³å›³ã®ã‚ˆã†ã«ï¼Œ" ã®å‰ã§æ”¹è¡Œã•ã‚Œã¦ã„ã¦ã‚‚よã„。\\ -　\\ -\includegraphics[bb=0 0 738 236 , width=6cm]{Fig/tab2list00.png} -　　\includegraphics[bb=0 0 748 276 , width=6cm]{Fig/tab2list001.png}\\ -　\\ -(4) ã“ã®æ–‡å—変数 data ã«å¯¾ã—，Tab2list(data) を実行ã™ã‚‹ã¨ï¼Œè¡Œåˆ—を表ã™ãƒªã‚¹ãƒˆãŒè¿”ã•ã‚Œã‚‹ã€‚\\ -　ã“れをé©å½“ãªå¤‰æ•°ã«ä»£å…¥ã—，作表コマンドã§è¡¨ã«ã™ã‚‹ãªã©ï¼Œç›®çš„ã«å¿œã˜ã¦åˆ©ç”¨ã™ã‚‹ã€‚\\ -　数値ã ã‘ãªã‚‰è¡Œåˆ—ã¨ã—ã¦è¨ˆç®—ã‚‚ã§ãる。\\ -　\\ -\includegraphics[bb=0 0 1245 457 , width=10cm]{Fig/tab2list03.png}\\ -　\\ -　空文å—ã®ã‚»ãƒ«(NULL)ãŒå«ã¾ã‚Œã‚‹å ´åˆï¼Œãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã§ã¯ãã®ã¾ã¾ç©ºæ–‡å—ã«ãªã‚‹ãŒï¼Œã‚¢ãƒ³ã‚±ãƒ¼ãƒˆå‡¦ç†ãªã©ã§ç„¡å›žç”ã‚’ï¼ã«ã—ãŸã„よã†ãªå ´åˆã¯\\ -　\\ -　\verb|dlist=Tab2list(data,["Blank=0"];|\\ -　\\ - ã¨ã™ã‚‹ã€‚\\ +\item[関数] Tab2list(str，option) +\item[機能] str ã®å†…容をリストã«å¤‰æ›ã™ã‚‹ +\item[説明] tabやコンマ区切りã«ãªã£ã¦ã„ã‚‹æ–‡å—列 str をリストã«å¤‰æ›ã™ã‚‹ã€‚ + + optionã¯ï¼Œæ¬¡ã®é€šã‚Šã€‚ - CSVファイルã‹ã‚‰CSVå½¢å¼ï¼ˆã‚³ãƒ³ãƒžåŒºåˆ‡ã‚Šï¼‰ã®ãƒ‡ãƒ¼ã‚¿ã‚’コピーã—ãŸå ´åˆã¯\\ -　\\ -　\verb|dlist=Tab2list(data,["Sep=,"];|\\ -　\\ - ã¨ã™ã‚‹ã€‚\\ + Blank=a ：NULLã®ã‚»ãƒ«ã‚’aã«ç½®ãæ›ãˆã‚‹ã€‚ - 　ãªãŠï¼Œæ–‡å—列をセパレータã§åŒºåˆ‡ã£ã¦ãƒªã‚¹ãƒˆåŒ–ã™ã‚‹Cindyscriptã®é–¢æ•°ã« tokenize()ãŒã‚る。上ã®ä¾‹ã§ï¼Œ\\ - 　　\verb|dlist=tokenize(data,[unicode("000a"),unicode("0009")]);|\\ - ã¨ã™ã‚‹ã¨ï¼Œæ”¹è¡Œã‚³ãƒ¼ãƒ‰(000a)ã¨tabコード(0009)ã§åˆ‡ã‚Šåˆ†ã‘ã¦ãƒªã‚¹ãƒˆåŒ–ã™ã‚‹ã€‚ã“ã®ã¨ã，リストã®å„è¦ç´ ã¯ã¤ãŽã®ã‚ˆã†ã«ãªã‚‹ã€‚\\ -　文å—列→文å—列\\ -　数値形å¼ã®æ–‡å—→実数　　例： 14 → æ•´æ•°14　　12.3 → 実数12.3\\ -　計算å¼ã®å½¢ã€€â†’　文å—列　例： 437-0023 →　437-0023 (æ–‡å—列)\\ -ã“ã‚Œã«å¯¾ã—，Tab2list()ã§ã¯ï¼Œè¨ˆç®—å¼ã®å½¢ã®æ–‡å—列ã¯æ•°å€¤ã¨è¦‹ãªã—ã¦è¨ˆç®—çµæžœã‚’å–å¾—ã™ã‚‹ã€‚\\ -　　　　例： 437-0023 →　414 (数値)\\ -ã—ãŸãŒã£ã¦ï¼Œéƒµä¾¿ç•ªå·ã‚„日付(28/12/5)ã®ã‚ˆã†ãªã‚‚ã®ã¯è¨ˆç®—ã•ã‚Œã¦ã—ã¾ã†ã®ã§ï¼Œtokenize() を用ã„ã‚‹ã®ãŒã‚ˆã„。ãªãŠï¼Œtokenize()ã®å ´åˆï¼Œç©ºè¡Œã¯ç©ºãƒªã‚¹ãƒˆã«ãªã‚‹ã®ã§ï¼Œæœ€å¾Œã®è¡Œã§ãƒ€ãƒ–ルクウォートã®å‰ã§æ”¹è¡Œã•ã‚Œã¦ã„ã‚‹ã¨ç©ºãƒªã‚¹ãƒˆãŒå…¥ã‚‹ã®ã§æ³¨æ„ã•ã‚ŒãŸã„。\\ +Sep=b ：セパレータ（区切り文å—）を b ã¨ã™ã‚‹ã€‚ åˆæœŸè¨å®šã¯ tabコード + +次ã®ã‚ˆã†ãªæ‰‹é †ã§è¡¨è¨ˆç®—ソフトやCSVファイルã‹ã‚‰ãƒ‡ãƒ¼ã‚¿ã‚’\ketcindy ã«ç§»ã™ã“ã¨ãŒã§ãる。 + +\vspace{\baselineskip} +(1) Cindyscriptエディタã§ï¼Œé©å½“ãªæ–‡å—変数を用æ„ã™ã‚‹ã€‚ + + ãŸã¨ãˆã°ï¼Œdata=""; + +\vspace{\baselineskip} +\hspace{10mm} \includegraphics[bb=0 0 429.02 149.01 , width=7cm]{Fig/tab2list02.pdf} + +\vspace{\baselineskip} +(2) 表計算ソフトã§ï¼Œé©å½“ãªç¯„囲を指定ã—クリップボードã«ã‚³ãƒ”ーã™ã‚‹ã€‚ + + Windowsãªã‚‰ Ctrl+C，Macãªã‚‰ Command+C + +\vspace{\baselineskip} +\hspace{10mm} \includegraphics[bb=0 0 371.02 154 , width=7cm]{Fig/tab2list01.pdf} + +\vspace{\baselineskip} +(3) data=""; ã®ãƒ€ãƒ–ルクウォートã®é–“ã«ãƒšãƒ¼ã‚¹ãƒˆã™ã‚‹ã€‚ + +最後ã®è¡Œã¯å³å›³ã®ã‚ˆã†ã«ï¼Œ" ã®å‰ã§æ”¹è¡Œã•ã‚Œã¦ã„ã¦ã‚‚よã„。 + +\vspace{\baselineskip} +\hspace{10mm} \includegraphics[bb=0 0 369.02 118.01 , width=6cm]{Fig/tab2list00.pdf} + +\hspace{10mm} \includegraphics[bb=0 0 374.02 138.01 , width=6cm]{Fig/tab2list001.pdf} + +\vspace{\baselineskip} +(4) ã“ã®æ–‡å—変数 data ã«å¯¾ã—，Tab2list(data) を実行ã™ã‚‹ã¨ï¼Œè¡Œåˆ—を表ã™ãƒªã‚¹ãƒˆãŒè¿”ã•ã‚Œã‚‹ã€‚ + +ã“れをé©å½“ãªå¤‰æ•°ã«ä»£å…¥ã—，作表コマンドã§è¡¨ã«ã™ã‚‹ãªã©ï¼Œç›®çš„ã«å¿œã˜ã¦åˆ©ç”¨ã™ã‚‹ã€‚ + +数値ã ã‘ãªã‚‰è¡Œåˆ—ã¨ã—ã¦è¨ˆç®—ã‚‚ã§ãる。 + +\vspace{\baselineskip} +\hspace{10mm} \includegraphics[bb=0 0 622.53 228.51 , width=10cm]{Fig/tab2list03.pdf} + +\vspace{\baselineskip} + 空文å—ã®ã‚»ãƒ«(NULL)ãŒå«ã¾ã‚Œã‚‹å ´åˆï¼Œ åˆæœŸè¨å®šã§ã¯ãã®ã¾ã¾ç©ºæ–‡å—ã«ãªã‚‹ãŒï¼Œã‚¢ãƒ³ã‚±ãƒ¼ãƒˆå‡¦ç†ãªã©ã§ç„¡å›žç”ã‚’ï¼ã«ã—ãŸã„よã†ãªå ´åˆã¯ + +\hspace{10mm}\verb|dlist=Tab2list(data,["Blank=0"];| + +ã¨ã™ã‚‹ã€‚ + + CSVファイルã‹ã‚‰CSVå½¢å¼ï¼ˆã‚³ãƒ³ãƒžåŒºåˆ‡ã‚Šï¼‰ã®ãƒ‡ãƒ¼ã‚¿ã‚’コピーã—ãŸå ´åˆã¯ + +\hspace{10mm} \verb|dlist=Tab2list(data,["Sep=,"];| + +ã¨ã™ã‚‹ã€‚ + +ãªãŠï¼Œæ–‡å—列をセパレータã§åŒºåˆ‡ã£ã¦ãƒªã‚¹ãƒˆåŒ–ã™ã‚‹Cindyscriptã®é–¢æ•°ã« tokenize()ãŒã‚る。上ã®ä¾‹ã§ï¼Œ + +\hspace{10mm} \verb|dlist=tokenize(data,[unicode("000a"),unicode("0009")]);| + +ã¨ã™ã‚‹ã¨ï¼Œæ”¹è¡Œã‚³ãƒ¼ãƒ‰(000a)ã¨tabコード(0009)ã§åˆ‡ã‚Šåˆ†ã‘ã¦ãƒªã‚¹ãƒˆåŒ–ã™ã‚‹ã€‚ã“ã®ã¨ã，リストã®å„è¦ç´ ã¯ã¤ãŽã®ã‚ˆã†ã«ãªã‚‹ã€‚ +æ–‡å—列→文å—列 + +数値形å¼ã®æ–‡å—→実数 ã€ä¾‹ã€‘ 14 → æ•´æ•°14 12.3 → 実数12.3 + +計算å¼ã®å½¢ → æ–‡å—列 ã€ä¾‹ã€‘ 437-0023 → 437-0023 (æ–‡å—列) + +ã“ã‚Œã«å¯¾ã—，Tab2list()ã§ã¯ï¼Œè¨ˆç®—å¼ã®å½¢ã®æ–‡å—列ã¯æ•°å€¤ã¨è¦‹ãªã—ã¦è¨ˆç®—çµæžœã‚’å–å¾—ã™ã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘ 437-0023 → 414 (数値) + +ã—ãŸãŒã£ã¦ï¼Œéƒµä¾¿ç•ªå·ã‚„日付(28/12/5)ã®ã‚ˆã†ãªã‚‚ã®ã¯è¨ˆç®—ã•ã‚Œã¦ã—ã¾ã†ã®ã§ï¼Œtokenize() を用ã„ã‚‹ã®ãŒã‚ˆã„。ãªãŠï¼Œtokenize()ã®å ´åˆï¼Œç©ºè¡Œã¯ç©ºãƒªã‚¹ãƒˆã«ãªã‚‹ã®ã§ï¼Œæœ€å¾Œã®è¡Œã§ãƒ€ãƒ–ルクウォートã®å‰ã§æ”¹è¡Œã•ã‚Œã¦ã„ã‚‹ã¨ç©ºãƒªã‚¹ãƒˆãŒå…¥ã‚‹ã€‚ + +\vspace{\baselineskip} \hypertarget{dispmat}{} -\item[関数]　Dispmat(list) -\item[機能]　リストを行列ã®å½¢ã§tab区切りã«ã—ã¦ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã™ã‚‹ã€‚ -\item[説明]　行列を表ã™ãƒªã‚¹ãƒˆ （ãŸã¨ãˆã° dlist) を引数ã¨ã—ã¦Dispmat(dlist) を実行ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡Œåˆ—åž‹ã§å†…容ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -　実際ã«ã¯TAB区切りã®æ–‡å—列。（println ã¨ã—ãªãã¦ã‚‚直接コンソールã«è¡¨ç¤ºã•ã‚Œã‚‹ï¼‰\\ -　ã“れを表計算ソフトã®ã‚·ãƒ¼ãƒˆã«ã‚³ãƒ”ーã™ã‚‹ã€‚\\ -　\\ -\includegraphics[bb=0 0 855 395 , width=8cm]{Fig/tab2list04.png}\\ -\\ +\item[関数] Dispmat(list) +\item[機能] リストを行列ã®å½¢ã§tab区切りã«ã—ã¦ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã™ã‚‹ã€‚ +\item[説明] 行列を表ã™ãƒªã‚¹ãƒˆ （ãŸã¨ãˆã° dlist) を引数ã¨ã—ã¦Dispmat(dlist) を実行ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡Œåˆ—åž‹ã§å†…容ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ + +実際ã«ã¯TAB区切りã®æ–‡å—列。（println ã¨ã—ãªãã¦ã‚‚直接コンソールã«è¡¨ç¤ºã•ã‚Œã‚‹ï¼‰ + +ã“れを表計算ソフトã®ã‚·ãƒ¼ãƒˆã«ã‚³ãƒ”ーã™ã‚‹ã€‚ +\vspace{\baselineskip} +\hspace{10mm} \includegraphics[bb=0 0 427.52 197.51 , width=7cm]{Fig/tab2list04.pdf} + + +\vspace{\baselineskip} \hypertarget{writecsv}{} -\item[関数]　Writecsv(namelist, data, filename, option) -\item[機能]　data ã®å†…容をCSVファイルã«å‡ºåŠ›ã™ã‚‹ -\item[説明]　ベクトルã¾ãŸã¯è¡Œåˆ—ã¨ãªã£ã¦ã„ã‚‹ data ã‚’ã€filenameã®ãƒ•ã‚¡ã‚¤ãƒ«åã¨ã—ã¦CSVファイルã«æ›¸ã出ã™ã€‚\\ -　optionã¯ï¼Œæ¬¡ã®é€šã‚Šã€‚（çœç•¥ã§ãる）\\ -　　Col=nn　：自然数nnã§æŒ‡å®šã—ãŸåˆ—æ•°ã®CSVファイルã¨ã—ã¦æ›¸ã出ã™ã€‚\\ -　　namelistã¯ï¼ŒCSVファイルã®1行目ã«è¿½åŠ ã•ã‚Œã‚‹é …ç›®å。çœç•¥ã™ã‚‹ã¨"C1,C2,..."ã¨ã„ã†é …ç›®åãŒä»˜ã。\\ +\item[関数] Writecsv(namelist, data, filename, option) +\item[機能] data ã®å†…容をCSVファイルã«å‡ºåŠ›ã™ã‚‹ +\item[説明] ベクトルã¾ãŸã¯è¡Œåˆ—ã¨ãªã£ã¦ã„ã‚‹ data ã‚’ã€filenameã®ãƒ•ã‚¡ã‚¤ãƒ«åã¨ã—ã¦CSVファイルã«æ›¸ã出ã™ã€‚ + +optionã¯ï¼Œæ¬¡ã®é€šã‚Šã€‚（çœç•¥ã§ãる） + +Col=nn ：自然数nnã§æŒ‡å®šã—ãŸåˆ—æ•°ã®CSVファイルã¨ã—ã¦æ›¸ã出ã™ã€‚ - 　ãªãŠï¼Œåˆ—æ•°ã®æŒ‡å®šã‚’çœç•¥ã™ã‚‹ã¨dataãŒè¡Œåˆ—ã®å ´åˆã¯ã€ãã®åˆ—æ•°ã‚’dataãŒãƒ™ã‚¯ãƒˆãƒ«ã®å ´åˆã¯namelistã®é …目数を利用ã™ã‚‹ã€‚ +namelistã¯ï¼ŒCSVファイルã®1行目ã«è¿½åŠ ã•ã‚Œã‚‹é …ç›®å。çœç•¥ã™ã‚‹ã¨"C1,C2,..."ã¨ã„ã†é …ç›®åãŒä»˜ã。 + + +ãªãŠï¼Œåˆ—æ•°ã®æŒ‡å®šã‚’çœç•¥ã™ã‚‹ã¨dataãŒè¡Œåˆ—ã®å ´åˆã¯ã€ãã®åˆ—æ•°ã‚’dataãŒãƒ™ã‚¯ãƒˆãƒ«ã®å ´åˆã¯namelistã®é …目数を利用ã™ã‚‹ã€‚ \end{description} -\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} \newpage -%　MeshLabã¨ã®é€£æºã€€================================== -%\subsection{MeshLabã¨ã®é€£æº} -%　アニメーション　================================== + +% アニメーション ================================== \section{アニメーションPDF} \subsection{概è¦} アニメーションã®ã§ãã‚‹PDFを作る。 Cinderellaã®ä½œå›³æ©Ÿèƒ½ã¨Cindyscriptを用ã„ã¦ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ãŒã§ãã‚‹ãŒï¼ŒPDFã«ã™ã‚‹ã“ã¨ã§CinderellaãŒãªãã¦ã‚‚PDFビュアーãŒã‚ã‚Œã°ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã‚’実行ã§ãã‚‹ã®ã§ï¼Œãƒ—レゼンテーションや教æã®å—ã‘渡ã—ãªã©ã«ä¾¿åˆ©ã§ã‚る。 -次ã®ç”»é¢ã¯ï¼Œsamplesフォルダã«ã‚る「s06animationã€ã®ã€Œs0601cycloidã€ã®ã‚‚ã®ã§ã‚る。\\ -　\\ -　　\includegraphics[bb=0 0 1581 880 , width=12cm]{Figmv/mvgaiyou01.png} +次ã®ç”»é¢ã¯ï¼Œsamplesフォルダã«ã‚る「s06animationã€ã®ã€Œs0601cycloidã€ã®ã‚‚ã®ã§ã‚る。ã“れをã²ãªå½¢ã¨ã—ã¦ä½¿ã†ã®ãŒã‚ˆã„。 -ç”»é¢ä¸Šæ–¹ã®ãƒœã‚¿ãƒ³ã«ã¯ï¼Œæ¬¡ã®ã‚ˆã†ãªã‚¹ã‚¯ãƒªãƒ—トãŒå‰²ã‚Šå½“ã¦ã‚‰ã‚Œã¦ã„ã‚‹ã®ã§ï¼Œãƒœã‚¿ãƒ³ã‚’自作ã™ã‚‹ã“ã¨ã‚‚ã§ãる。 +\vspace{\baselineskip} + \includegraphics[bb=0 0 732.04 376.02 , width=12cm]{Fig/mvgaiyou01.pdf} + +ç”»é¢ä¸Šæ–¹ã®ãƒœã‚¿ãƒ³ã«ã¯ï¼Œæ¬¡ã®ã‚ˆã†ãªã‚¹ã‚¯ãƒªãƒ—トãŒå‰²ã‚Šå½“ã¦ã‚‰ã‚Œã¦ã„る。 \begin{tabbing} -　12345678\=1234567897890123456\=\kill -　Figure \>： Viewtex(); \>ç¾åœ¨ã®ç”»é¢ã®PDFデータを作る\\ -　Parent 　\>： 　 \>Figpdf() を使ã†ã¨ãã«ä½¿ç”¨ã™ã‚‹ã€‚\\ -　ParaF \>： Parafolder(); \>パラパラ動画ã®ãƒ‡ãƒ¼ã‚¿ã‚’作る\\ -　Anime　\>： Mkanimation(); \>アニメーションPDFを作る\\ -　Flip　 \>： Mkflipanime(); \>パラパラ動画PDFを作る + 12345678\=1234567897890123456\=\kill + Figure \>： Viewtex(); \>ç¾åœ¨ã®ç”»é¢ã®PDFデータを作る\\ + Parent \>：複数ã®ã‚¹ã‚¯ãƒªãƒ—ト \>Figpdf() を使ã†ã¨ãã«ä½¿ç”¨ã™ã‚‹ã€‚\\ + ParaF \>： Parafolder(); \>アニメーションã®ãƒ‡ãƒ¼ã‚¿ã‚’作る\\ + Anime \>： Mkanimation(); \>アニメーションPDFを作る\\ + Flip \>： Mkflipanime(); \>パラパラ動画PDFを作る \end{tabbing} アニメーションã®ä½œæˆã¯ï¼Œãƒ•ãƒ¬ãƒ¼ãƒ を定義ã™ã‚‹é–¢æ•°ã‚’作æˆã—，Mkanimation() 関数を実行ã™ã‚‹(Animeボタン)。 %ãŸã¨ãˆã°ï¼ŒFhead ㌠"hoge" ã®å ´åˆï¼ŒTeX ã®æ–‡æ›¸ã«ã¯\\ -% 　　　　\verb|\input{hogemoviefigs.tex}|\\ +% \verb|\begin{center} \input{hogemoviefigs.tex}|\\ %ã§å‹•ç”»ã‚’挿入ã™ã‚‹ã“ã¨ãŒã§ãる。 %ãŸã ã—，動画ã®ã§ãã‚‹PDFを作æˆã™ã‚‹ã«ã¯ï¼Œãƒ‰ã‚ュメントクラスã¨ä½¿ç”¨ãƒ‘ッケージã«ã¤ã„ã¦æ³¨æ„ãŒå¿…è¦ã§ã‚る。 @@ -4218,133 +5242,620 @@ Cinderellaã®ä½œå›³æ©Ÿèƒ½ã¨Cindyscriptを用ã„ã¦ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ãŒã§ã %ドã‚ュメントクラスã¯ï¼Œarticle ã¾ãŸã¯ jarticle ã¨ã™ã‚‹ã€‚jsarticle ã¯ä½¿ãˆãªã„。 %パッケージ㯠animate ã« dvipdfmx オプションをã¤ã‘る。\\ -%　　　　　　\verb|\usepackage[dvipdfmx]{animate}| +% \verb|\usepackage[dvipdfmx]{animate}| ãªãŠï¼Œã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³PDFã§ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã‚’è¡Œã†ã«ã¯Adobe Acrobat Reader ãªã©ï¼Œã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã«å¯¾å¿œã—ãŸPDFリーダーãŒå¿…è¦ã§ã‚る。Windowsã®SumatraPDF，Mac㮠プレビューã§ã¯å‹•ã‹ãªã„。 Flipボタンを押ã™ã¨ï¼Œãƒ•ãƒ¬ãƒ¼ãƒ ã«åˆ†å‰²ã—ãŸPDFãŒç”Ÿæˆã•ã‚Œã¦è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ -\subsection{è¨å®š} -KeTCindymvã§ã¯ï¼ŒKeTCindyã¨è‹¥å¹²ç•°ãªã‚‹è¨å®šãŒå¿…è¦ã§ã‚る。 +\subsection{関数} +\begin{description} + +\hypertarget{setpara}{} +\item[関数] Setpara(fname,funcstr,range,options1,options2) +\item[機能] アニメーションã®è¨å®šã‚’ã™ã‚‹ +\item[説明] fname ã¯å‡ºåŠ›ã™ã‚‹ãƒ•ã‚¡ã‚¤ãƒ«å，funcstrã¯å‹•ç”»é–¢æ•°å，rangeã¯ç¯„囲 + +options1 ã¯ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã®ãƒ‡ãƒ¼ã‚¿ã‚’作るãŸã‚ã®è¨å®šã€‚ +\begin{tabbing} +1234567890123\=90123456789012345678\=\kill +m/r \> データã®ä½œæˆ / æ—¢å˜ãƒ‡ãƒ¼ã‚¿ãŒã‚ã‚‹å ´åˆã®èªã¿è¾¼ã¿ï¼ˆ åˆæœŸè¨å®šã¯ r ）\\ +Div=n \> フレーム数。åˆæœŸå€¤ã¯25。 +\end{tabbing} +options2 ã¯ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã«ã¤ã„ã¦ã®è¨å®šã§ï¼Œæ¬¡ã®é€šã‚Šã€‚ +\begin{tabbing} +1234567890123\=90123456789012345678\=\kill +Frate=n \>１秒間ã®ãƒ•ãƒ¬ãƒ¼ãƒ 数。åˆæœŸå€¤ã¯20。 \\ +Title=str \> タイトル。\\ +Scale=n \> 図ã®å¤§ãã•ã®æ‹¡å¤§çŽ‡ \\ +opA \> animate.sty ã®ãŸã‚ã®ã‚ªãƒ—ション。 \\ + \> loop：loopã™ã‚‹ï¼Œcontrols：ボタンを表示，buttonsize：ボタンã®ã‚µã‚¤ã‚º\\ + \> step：コマé€ã‚Šãƒ¢ãƒ¼ãƒ‰\\ + \> åˆæœŸè¨å®šã¯ loop,controls,buttonsize=3mm\\ + \> +ã‚’ã¤ã‘ã‚‹ã¨ãƒ¢ãƒ¼ãƒ‰ãŒè¿½åŠ ã•ã‚Œã‚‹ã€‚ãŸã¨ãˆã° \verb|"OpA=+step"| ã§\\ + \> \verb|"OpA=[loop,controls,buttonsize=3mm,step]"| ã¨ãªã‚‹ã€‚ +\end{tabbing} + +\vspace{\baselineskip} +\item[関数] Parafolder(funcstr,fname,range,options) +\item[機能] アニメーションã®ãƒ•ãƒ¬ãƒ¼ãƒ データを作æˆã™ã‚‹ +\item[説明] funcstrã¯å‹•ç”»é–¢æ•°å，fname ã¯å‡ºåŠ›ã™ã‚‹ãƒ•ã‚©ãƒ«ãƒ€å，rangeã¯ç¯„囲 + +作æ¥ãƒ•ã‚©ãƒ«ãƒ€(fig)内ã«ï¼Œãƒ•ãƒ¬ãƒ¼ãƒ ãƒ‡ãƒ¼ã‚¿ã‚’æ ¼ç´ã—㟠fname フォルダを作る。ã²ãªå½¢ï¼ˆs0601cycloid）ã«ã‚ã‚‹ ParaF ボタンã«å‰²ã‚Šå½“ã¦ã‚‰ã‚Œã¦ãŠã‚Šï¼Œé€šå¸¸ã¯ãã®ã¾ã¾ä½¿ãˆã°ã‚ˆã„。 + +\vspace{\baselineskip} +\item[関数] Mkanimation(path,folder) +\item[機能] アニメーションã®PDFを作る +\item[説明] 作æ¥ãƒ•ã‚©ãƒ«ãƒ€(fig)内ã«ï¼Œãƒ•ãƒ¬ãƒ¼ãƒ ãƒ‡ãƒ¼ã‚¿ã‚’æ ¼ç´ã—㟠fname フォルダを作り，ã“ã“ã‹ã‚‰ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã®PDFを作る。Setpara() ã§è¨å®šã—ãŸãƒ•ã‚¡ã‚¤ãƒ«åã‚’ fname ã¨ã™ã‚‹ã¨ï¼Œç”Ÿæˆã™ã‚‹ TeX ファイルã¯ï¼Œanimatefname.tex （PDF作æˆã®TeXファイル）㨠animfname.tex （動画データ）ã§ï¼ŒPDFã®å称ã¯ï¼Œanimatefname.pdf ã¨ãªã‚‹ã€‚ + +ã²ãªå½¢ï¼ˆs0601cycloid）ã«ã‚ã‚‹ Anime ボタンã«å‰²ã‚Šå½“ã¦ã‚‰ã‚Œã¦ãŠã‚Šï¼Œé€šå¸¸ã¯ã‚らãŸã‚ã¦è¨å®šã›ãšãã®ã¾ã¾ä½¿ãˆã°ã‚ˆã„。 + +\vspace{\baselineskip} +\item[関数] Mkflipanime(path,folder) +\item[機能] パラパラ動画ã®PDFを作る +\item[説明] 作æ¥ãƒ•ã‚©ãƒ«ãƒ€(fig)内ã«ï¼Œãƒ•ãƒ¬ãƒ¼ãƒ ãƒ‡ãƒ¼ã‚¿ã‚’æ ¼ç´ã—㟠fname フォルダを作り，ã“ã“ã‹ã‚‰ãƒ‘ラパラ動画ã®PDFを作る。Setpara() ã§è¨å®šã—ãŸãƒ•ã‚¡ã‚¤ãƒ«åã‚’ fname ã¨ã™ã‚‹ã¨ï¼Œç”Ÿæˆã™ã‚‹ TeX ファイルã¯ï¼Œflipanimefname.tex （PDF作æˆã®TeXファイル）ã§ï¼ŒPDFã®å称ã¯ï¼Œflipanimefname.pdf ã¨ãªã‚‹ã€‚ + +ã²ãªå½¢ã«ã‚ã‚‹ Flip ボタンã«å‰²ã‚Šå½“ã¦ã‚‰ã‚Œã¦ãŠã‚Šï¼Œé€šå¸¸ã¯ã‚らãŸã‚ã¦è¨å®šã›ãšãã®ã¾ã¾ä½¿ãˆã°ã‚ˆã„。 + +\end{description} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\subsection{制作例} + +%\begin{description} +\vspace{\baselineskip} +ã€ä¾‹ã€‘定円上を動ã点Pã¨ï¼Œå®šç‚¹Aã‚’çµã¶ç·šåˆ†ã®ä¸ç‚¹ã‚’Qã¨ã—ã¦å‹•ãを見る。 +アニメーションを定義ã™ã‚‹é–¢æ•°ã¯ï¼Œæ™‚é–“ã‚’ $t$ ã¨ã™ã‚Œã°ï¼Œæ™‚刻 $t$ ã«ãŠã‘る図（動ãã‚‚ã®ã ã‘）を定義ã™ã‚‹ã€‚時刻ã¯å˜ãªã‚‹åª’介変数ã§ã‚ã‚‹ã®ã§ï¼Œ$t$ ã§ãªã $s$ ãªã©ã§ã‚‚よã„。 + +\begin{verbatim} + Setax(["","","sw","","sw"]); + Slider("A-C-B",[0,YMIN-1],[2*pi,YMIN-1]); + Circledata("1",[[0,0],[0,2]]); + mf(t):=( + pt=2*[cos(t),sin(t)]; + mp=(pt+[4,0])/2; + Listplot("1",[[4,0],pt]); + Pointdata("1",[mp,pt],["Size=2"]); + if(t==0, + ptlist=[mp]; + , + ptlist=append(ptlist,mp); + ); + Letter([[4,0],"s","A",pt,"en","P",mp,"ne","Q"]); + Pointdata("2",ptlist,["Size=2","Color=red"]); + ); + mf(C.x); + Setpara("middle","mf(t)","t=[0,4*pi]"); +\end{verbatim} + +ã“ã®ä¾‹ã®å ´åˆï¼Œ\verb|mf(C.x)| を実行ã™ã‚‹ã¨ã‚¹ãƒ©ã‚¤ãƒ€ã‚’å‹•ã‹ã™ã“ã¨ã§ã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ã«è»Œè·¡ã‚’表示ã§ãる。 +Cinderellaã®ç”»é¢ã¯æ¬¡ã®ã‚ˆã†ã«ãªã‚‹ã€‚ + +\vspace{\baselineskip} +\hspace{20mm} \includegraphics[bb=0.00 0.00 608.03 367.02,width=8cm]{Fig/moviedata01.pdf} + +アニメーションを作æˆã™ã‚‹ã¨ã㯠\verb|//mf(C.x)| ã¨ã‚³ãƒ¡ãƒ³ãƒˆã‚¢ã‚¦ãƒˆã—ã¦ã‹ã‚‰ Anime ボタンをクリックã™ã‚‹ã€‚次ã®å›³ã¯ï¼Œã§ã上ãŒã£ãŸ animatemiddle.pdf ã®å§‹ã‚ã®ç”»é¢ã§ã‚る。 + +\hspace{30mm}\includegraphics[bb=0.00 0.00 470.02 394.02,width=6cm]{Fig/moviedata02.pdf} + +ã¾ãŸï¼Œæ¬¡ã®ã‚ˆã†ã«ã‚ªãƒ—ションを指定ã™ã‚‹ã¨ï¼Œ5秒間ã®ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã¨ãªã‚‹ã€‚ + + \verb| Setpara("middle","mf(t)","t=[0,4*pi]",["Div=30"],["Frate=6"]);| + +\verb|["Div=150"],["Frage=30"]|ã¨ã™ã‚‹ã¨ï¼Œã‚„ã¯ã‚Š5秒間ã®ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã¨ãªã‚‹ãŒï¼Œ1秒間ã®ãƒ•ãƒ¬ãƒ¼ãƒ æ•°ãŒå¤šã„ãŸã‚，ãªã‚らã‹ãªå‹•ãã¨ãªã‚‹ã€‚ã“ã‚Œã¯æ¨™æº–çš„ãªãƒ“デオã®ãƒ•ãƒ¬ãƒ¼ãƒ レートã§ã‚る。ãŸã ã—，ファイルサイズã¯ç´„5å€ã¨ãªã‚‹ã€‚ + + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +%\end{description} + +\newpage + + +%==================== Slide =============== +\section{\ketcindy スライド} +\subsection{概è¦ã¨åˆ¶ä½œæ‰‹é †} +\ketcindy ã§ä½œæˆã—ãŸå›³ã¨ãƒ†ã‚ストを統åˆã—ã¦ãƒ—レゼンテーション用ã®ã‚¹ãƒ©ã‚¤ãƒ‰PDFを作æˆã™ã‚‹ã€‚å¿…è¦ãªãƒ•ã‚¡ã‚¤ãƒ«ã¯ï¼Œã‚¹ãƒ©ã‚¤ãƒ‰ã®å†…容を記述ã—ãŸãƒ†ã‚ストファイル（ã“ã“ã§ã¯ã‚³ãƒ³ãƒ†ãƒ³ãƒ„ファイルã¨å‘¼ã¶ï¼‰ã¨ï¼Œã‚¿ã‚¤ãƒˆãƒ«ã‚„図を作æˆã—，コンテンツファイルã¨çµ±åˆã™ã‚‹ \ketcindy ã®ãƒ•ã‚¡ã‚¤ãƒ«ã§ã‚る。ã“ã®2ã¤ã®ãƒ•ã‚¡ã‚¤ãƒ«ã¯ï¼Œæ‹¡å¼µå㌠txt 㨠cdy ã§ï¼Œãƒ•ã‚¡ã‚¤ãƒ«åã¯åŒä¸€ã¨ã™ã‚‹ã€‚ãŸã¨ãˆã°ï¼Œã‚³ãƒ³ãƒ†ãƒ³ãƒ„ファイルを makeslide.txt ， \ketcindy ファイルを makeslide.cdy ã¨ã—ãŸã¨ãã®ï¼Œåˆ¶ä½œã‚¤ãƒ¡ãƒ¼ã‚¸ã‚’次ã®å›³ã«ç¤ºã™ã€‚ + +\hspace{10mm}\input{Fig/makeslide} + +\hspace{10mm}makeslide.cdy + +\hspace{10mm}\includegraphics[bb=0.00 0.00 881.05 451.02,width=10cm]{Fig/slide01.pdf} + +\vspace{\baselineskip} +ã²ãªå½¢ã¨ã—ã¦ï¼Œã‚µãƒ³ãƒ—ルã¨ã—ã¦æä¾›ã•ã‚Œã¦ã„ã‚‹ samples フォルダã®ä¸ã® s0701basic.cdy をコピーã—，é©å½“ã«ãƒªãƒãƒ¼ãƒ ã—ã¦ä½¿ã†ã®ãŒã‚ˆã„ã ã‚ã†ã€‚å¿…è¦ãªãƒœã‚¿ãƒ³ã¨ï¼Œæœ€ä½Žé™ã®ã‚¹ã‚¯ãƒªãƒ—トãŒè¨˜è¿°ã•ã‚Œã¦ã„る。 + +以下ã§ã¯ï¼Œ\ketcindy ã®ãƒ•ã‚¡ã‚¤ãƒ«ã‚’ makeslide.cdy , コンテンツファイルを makeslide.txt ã¨ã—ã¦èª¬æ˜Žã‚’進ã‚ã‚‹ã€‚åˆ¶ä½œæ‰‹é †ã¯æ¬¡ã®é€šã‚Šã€‚ + +(1) makeslide.cdy ã« \verb|Settitle| コマンドã§ã‚¿ã‚¤ãƒˆãƒ«ã‚’書ã，「Titileã€ãƒœã‚¿ãƒ³ã§æ›¸ã出ã™ã€‚ + +タイトルスライドãŒä½œæ¥ãƒ•ã‚©ãƒ«ãƒ€ã«ï¼Œmakeslide.txt ㌠makeslide.cdy ã¨åŒã˜ãƒ•ã‚©ãƒ«ãƒ€ã«ä½œæˆã•ã‚Œã‚‹ã€‚makeslide.txt ãŒã™ã§ã«ã‚ã‚‹å ´åˆã«ã¯ä¸Šæ›¸ãã¯ã•ã‚Œãšï¼Œã‚¿ã‚¤ãƒˆãƒ«ã‚¹ãƒ©ã‚¤ãƒ‰ã ã‘ãŒä¸Šæ›¸ãã•ã‚Œã‚‹ã€‚ + +(2) makeslide.txt ã«ï¼Œã‚¹ãƒ©ã‚¤ãƒ‰ã®å„ベージã”ã¨ã®å†…容を記述ã™ã‚‹ã€‚ + +(3) å¿…è¦ãªå›³ã‚„アニメーションã®ã‚³ãƒ¼ãƒ‰ã‚’書ã，ボタンをクリックã—ã¦ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作る。 + +\hspace{10mm}Figure : 図を挿入ã™ã‚‹ã¨ã + +\hspace{10mm}ParaF : アニメーションやパラパラスライドを挿入ã™ã‚‹ã¨ã + +(4) Slide ボタンã§ã‚¹ãƒ©ã‚¤ãƒ‰PDFを作æˆã™ã‚‹ã€‚ + +PDFã¨ï¼Œé–¢é€£ã™ã‚‹ä¸é–“ファイルã¯ï¼Œä½œæ¥ãƒ•ã‚©ãƒ«ãƒ€ã§ã¯ãªã，makeslide.cdyã®ã‚るフォルダã«ä½œæˆã•ã‚Œã‚‹ã€‚ã¾ãŸï¼Œã‚¹ãƒ©ã‚¤ãƒ‰PDFã¯ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã¨åŒæ§˜ï¼ŒAdobe Reader ã§é–‹ãå¿…è¦ãŒã‚る。 + +\subsection{コンテンツファイル} + +コンテンツファイルã¯æ¬¡ã®ã‚ˆã†ãªæ§‹æˆã«ã™ã‚‹ã€‚ + +\begin{tabbing} +1234567890\=12345678912345678901234567890\=\kill + \>title::slide0// \> タイトルスライド。title ã¯ã‚³ãƒžãƒ³ãƒ‰ã€‚\\ + \>main::三角比ã¨ä¸‰è§’関数// \> セクション1ã®ã‚¿ã‚¤ãƒˆãƒ«ã€‚main ã¯ã‚³ãƒžãƒ³ãƒ‰ã€‚\\ + \> 直角三角形ã¨ä¸‰è§’比// \> 1ページ目ã®è¡¨ç¤ºå†…容。\\ + \> ・・・・// \\ + \> new::角ã®æ¦‚念ã®æ‹¡å¼µ// \> æ–°ã—ã„ページã¨ã‚¿ã‚¤ãƒˆãƒ«ã€‚new ã¯ã‚³ãƒžãƒ³ãƒ‰ã€‚\\ + \> enumerate::[(1)]// \> 2ページ目ã®è¡¨ç¤ºå†…容。enumerate ã¯ã‚³ãƒžãƒ³ãƒ‰ã€‚\\ + \> ・・・・// \\ + \> new::è² ã®è§’// \> æ–°ã—ã„ページã¨ã‚¿ã‚¤ãƒˆãƒ«ã€‚\\ + \> ・・・・// \\ + \>main::三角関数ã®ã‚°ãƒ©ãƒ•// \> セクション2ã®ã‚¿ã‚¤ãƒˆãƒ«ã€‚\\ + \> $f(x)=\sin x$// \> \hspace{10mm}以下åŒæ§˜\\ + \> new::振幅ã¨å‘¨æœŸ// \\ + \> ・・・・// \\ +\end{tabbing} +%ã‚ã¾ã‚Šã‚¹ãƒžãƒ¼ãƒˆãªæ–¹æ³•ã§ã¯ãªã„ãŒï¼Œæž ã‚’KeTCindyã§ä½œã£ã¦ãƒ¬ã‚¤ãƒ¤ãƒ¼ã§è¡¨ç¤º +\begin{layer}{150}{0} +\hspace{7mm}\input{Fig/boxframeslide} +\end{layer} + + +・ã™ã¹ã¦ã®è¡Œã®æœ«å°¾ã«ã¯å¿…ãš // ã‚’ã¤ã‘る。 + +\hspace{10mm} 注）urlã®æŒ‡å®šã§ // を用ã„ã‚‹ã¨ãã¯ï¼Œ$||||$ ã¨ã™ã‚Œã° // ã«å¤‰æ›ã•ã‚Œã‚‹ã€‚ + +・ページã®å†…容ã¯ï¼Œã‚³ãƒžãƒ³ãƒ‰ã§ãƒ¬ã‚¤ã‚¢ã‚¦ãƒˆãªã©ã‚’指定ã—，表示ã™ã‚‹æ–‡ã‚’テã‚ストã§æ›¸ã。 + +\vspace{\baselineskip} +{\bf コマンド} + +コマンドã«ãŠã„ã¦ï¼Œå„ブãƒãƒƒã‚¯ã®å¼•æ•°ã®åŒºåˆ‡ã‚Šã¯ \verb|::| ã¨ã—，å„è¡Œã®çµ‚ã‚ã‚Šã«ã¯å¿…ãš//ã‚’ã¤ã‘る。 + +\vspace{\baselineskip} + {\bf ã€ã‚¿ã‚¤ãƒˆãƒ«ã¨å£ç´™ã€‘} + + タイトルスライドをã¤ã‘ã‚‹ã¨ãã¯ï¼Œ + + \hspace{10mm}\verb|title::slide0//| + + を１行目ã«ç½®ã。タイトルスライド㯠makeslide.cdy ã§ä½œã‚‹ã€‚slide0㯠åˆæœŸè¨å®šã®ã‚¿ã‚¤ãƒˆãƒ«ã‚¹ãƒ©ã‚¤ãƒ‰ã®ãƒ•ã‚¡ã‚¤ãƒ«å。ã“ã®ãƒ•ã‚¡ã‚¤ãƒ«åを変更(ãŸã¨ãˆã° "start")ã—ãŸã¨ãã¯ï¼Œmakeslide.cdy ã§ï¼ŒSettile() ã®ã‚ªãƒ—ション㫠"Title=start" ã‚’ã¤ã‘ã¦ï¼Œãƒ•ã‚¡ã‚¤ãƒ«åãŒä¸€è‡´ã™ã‚‹ã‚ˆã†ã«ã—ã¦ãŠã。 + + タイトルスライドをã¤ã‘ãªã„ã¨ãã¯ã‚¹ãƒ©ã‚¤ãƒ‰åã‚’ã¤ã‘ãªã„ã§ãŠã。 + +\hspace{10mm} \verb|title:://| + +注）title コマンドã¯å¿…é ˆã§ï¼Œã“れを１行目ã«æ›¸ã‹ãªã„ã¨ã‚¹ãƒ©ã‚¤ãƒ‰ã¯ä½œæˆã•ã‚Œãªã„。 + +\vspace{\baselineskip} +å£ç´™ï¼ˆèƒŒæ™¯ï¼‰ã‚’表示ã™ã‚‹ã¨ãã¯ï¼Œã‚¿ã‚¤ãƒˆãƒ«ã‚³ãƒžãƒ³ãƒ‰ã«ç¶šã‘ã¦å£ç´™ãƒ•ã‚¡ã‚¤ãƒ«åを書ã。 + + \hspace{10mm}\verb|title::slide0::wallpaper//| + +wallpaper ã¯å£ç´™ã®ãƒ•ã‚¡ã‚¤ãƒ«å。å£ç´™ãƒ•ã‚¡ã‚¤ãƒ«ã¯TeXã®ãƒ•ã‚¡ã‚¤ãƒ«ã§ï¼Œä½œæ¥ãƒ•ã‚©ãƒ«ãƒ€ï¼ˆfig）ã«å…¥ã‚Œã¦ãŠã。 + 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\verb|%para=sincurve:{0}:s{60}{10}:input(:å€çŽ‡)//| + +ã§è¡¨ç¤ºã™ã‚‹ã€‚ + +アニメーションã®å ´åˆã¯ï¼Œã‚¹ãƒ©ã‚¤ãƒ‰ã®ãŸã‚ã«ï¼Œmakeslide.cdy ã®ã‚¹ã‚¯ãƒªãƒ—トã«ï¼Œ \verb|Addpackage(["[dvipdfmx]{animate}"]);| ã‚’è¿½åŠ ã—ã¦ãŠã。 + +Animeボタンをクリックã™ã‚‹ã¨ï¼Œãƒ‘ラパラアニメã¨åŒæ§˜ã«å‹•ç”»ã®ãƒ•ãƒ¬ãƒ¼ãƒ ファイルãŒå…¥ã£ãŸãƒ•ã‚©ãƒ«ãƒ€ãŒä½œã‚‰ã‚Œï¼Œå‹•ç”»ç”¨ã®\TeX\ ファイルãŒã§ãる。Setpara() ã§è¨å®šã—ãŸãƒ•ã‚¡ã‚¤ãƒ«å㌠"sincurve" ã®ã¨ã，動画用ã®\TeX\ ファイル㯠"animsincurve.tex" ã¨ãªã‚‹ã®ã§ï¼Œ\verb|%repeat| ã§ã¯ãªã \verb|\input{fig/animsincurve}//| ã§è¡¨ç¤ºã™ã‚‹ã€‚ + + +\vspace{\baselineskip} +{\bf ã€ã‚³ãƒ¡ãƒ³ãƒˆè¡Œã€‘} + + コマンドや文をコメントアウトã™ã‚‹ã¨ãã¯ï¼Œ\verb|%%| ã¨ã™ã‚‹ã€‚ + +\vspace{\baselineskip} +{\bf ã€ç©ºç™½è¡Œã€‘} + +空白行を入れãŸã„ã¨ãã¯ï¼Œ\verb|...//| ã¨ã™ã‚‹ã€‚ + +\vspace{\baselineskip} +{\bf ã€ã‚¿ãƒ–】} + +\hspace{10mm}\verb|\Ltab{é•·ã•}{文１}文２| + +ã¨ã™ã‚‹ã¨ï¼Œæ–‡ï¼‘ãŒè¡Œé ã‹ã‚‰ï¼Œæ–‡ï¼’ãŒé•·ã•åˆ†ã®å—下ã’ã‚’ã—ãŸä½ç½®ã‹ã‚‰è¡¨ç¤ºã•ã‚Œã‚‹ã€‚é•·ã•ã¯ 20mm ã®ã‚ˆã†ã«æŒ‡å®šã€‚ + +\vspace{\baselineskip} +{\bf ã€ãƒšãƒ¼ã‚¸ç•ªå·ã€‘} + 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+mp4ãƒ•ã‚¡ã‚¤ãƒ«ã‚’è¿½åŠ ã™ã‚‹ã¨ãã¯ï¼Œ\verb|\inputmovie|を用ã„る。\\ +\hspace{10mm}\verb|\inputsountclik[90]{1}{0.4}{フォルダ/}{ファイル}|\\ +2番目ã¨3番目ã®å¼•æ•°ã¯ï¼Œå¹…ã¨é«˜ã•ã®\verb|\linewidth|ã‹ã‚‰ã®å€çŽ‡ã§ã‚る。 + +\subsection{関数} +makeslide.cdy ã§ä½¿ã†ï¼Œ\ketcindy ã®é–¢æ•°ã€‚ + \begin{description} -\hypertarget{moviedata}{} -\item[関数]　Moviedata(str1,str2,options) -\item[機能]　アニメーションデータを作る -\item[説明]　str1 ã¯ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã‚’定義ã™ã‚‹é–¢æ•°åã‚’æ–‡å—列ã¨ã™ã‚‹ã€‚str2 ã¯å®šç¾©åŸŸã€‚\\ -　optionsã¯ï¼ŒCut 㨠Div \\ -　Cut　：　1秒ã®ãƒ•ãƒ¬ãƒ¼ãƒ 数。åˆæœŸå€¤ã¯20。\\ -　Div　：　全体ã®ãƒ•ãƒ¬ãƒ¼ãƒ 数。åˆæœŸå€¤ã¯80。\\ -　ã—ãŸãŒã£ã¦ï¼ŒåˆæœŸå€¤ã§ã¯4秒間ã®ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã¨ãªã‚‹ã€‚\\ -　\\ -ã€ä¾‹ã€‘定円上を動ã点Pã¨ï¼Œå®šç‚¹Aã‚’çµã¶ç·šåˆ†ã®ä¸ç‚¹ã‚’Qã¨ã—ã¦å‹•ãを見る。\\ -ã¾ãšï¼Œå®šå††ã‚’，原点ä¸å¿ƒã€åŠå¾„ï¼’ã¨ã—ã¦æã„ã¦ãŠã。\\ -アニメーションを定義ã™ã‚‹é–¢æ•°ã¯ï¼Œæ™‚é–“ã‚’ $t$ ã¨ã™ã‚Œã°ï¼Œæ™‚刻 $t$ ã«ãŠã‘る図（動ãã‚‚ã®ã ã‘）を定義ã™ã‚‹ã€‚時刻ã¯å˜ãªã‚‹åª’介変数ã§ã‚ã‚‹ã®ã§ï¼Œ$t$ ã§ãªã $s$ ãªã©ã§ã‚‚よã„。 -\begin{verbatim} -　Mf(t):=( -　 pt=2*[cos(t),sin(t)]; -　 Listplot("2",[[4,0],pt]); -　 Pointdata("2",mid(pt,[4,0])); -　 Letter([[4,0],"s","A",pt,"en","P",mid(pt,[4,0]),"ne","Q"]); -　); -\end{verbatim} -ã“ã“ã§ï¼Œ\verb|Mf(t)| ã®ä¸ã§ä½¿ã£ã¦ã„るユーザー定義関数\verb|mid()| ã¯ï¼Œç«¯ç‚¹ã‚’引数ã¨ã—ã¦ç·šåˆ†ã®ä¸ç‚¹ã‚’è¿”ã™ã‚‚ã®ã§ï¼Œ\\ -　　\verb|mid(p1,p2):=(p1+p2)/2;|\\ -ã¨ã—ã¦å®šç¾©ã—ã¦ãŠã。\\ -ã¾ãŸï¼Œç‚¹ã®å¤§ãã•ã‚’é©å®œè¨å®šã—ã¦ãŠã。\\ -以上ã®æº–å‚™ã®å¾Œï¼Œ\\ -　　\verb|Moviedata("Mf(t)","t=[0,2*pi]");|\\ -を実行ã™ã‚‹ã€‚\\ -ã“ã“ã§ã¯ï¼Œè§’度を媒介変数ã¨ã—ã¦ã„ã‚‹ã®ã§ï¼Œæ™‚é–“ã®$t$ ã§ãªã$s$ ã¨ã—ã¦\\ -　　\verb|Moviedata("Mf(s)","s=[0,2*pi]");|\\ -ã¨ã—ã¦ã‚‚よã„。\\ -次ã®ã‚ˆã†ã«ã‚ªãƒ—ションを指定ã™ã‚‹ã¨ï¼Œ5秒間ã®ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã¨ãªã‚‹ã€‚\\ -　　\verb|Moviedata("Mf(s)","s=[0,2*pi]",["Div=50","Cut=10"]);|\\ -\verb|["Div=150","Cut=30"]|ã¨ã™ã‚‹ã¨ï¼Œã‚„ã¯ã‚Š5秒間ã®ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã¨ãªã‚‹ãŒï¼Œ1秒間ã®ãƒ•ãƒ¬ãƒ¼ãƒ æ•°ãŒå¤šã„ãŸã‚ãªã‚らã‹ãªå‹•ãã¨ãªã‚‹ã€‚ビデオã®ãƒ•ãƒ¬ãƒ¼ãƒ レートã§ã‚る。ãŸã ã—，ファイルサイズã¯ç´„３å€ã¨ãªã‚‹ã€‚\\ -Cinderellaã®ç”»é¢ã¯æ¬¡ã®ã‚ˆã†ã«ãªã‚‹ã€‚\\ -　\\ -　　\includegraphics[bb=0 0 1054 706 , width=8cm]{Figmv/moviedata01.png}\\ -　\\ -TexMvボタン ã¾ãŸã¯ TexParaボタンを押ã™ã¨ç”»é¢ä¸Šã§ã‚‚アニメーションãŒå®Ÿè¡Œã•ã‚Œã‚‹ã€‚ãã®å¾Œ Exekc ボタンを押ã™ã¨ãƒ•ã‚¡ã‚¤ãƒ«ãŒä½œæˆã•ã‚Œã‚‹ã€‚ - -ã“ã®å›³ã§ã¯ï¼Œç‚¹ãŒæ˜Žç¤ºã•ã‚Œã‚‹ã®ã¯ Q ã ã‘ã§ã‚る。A,Pã¨ã‚‚点を明示ã™ã‚‹å ´åˆã®ã‚¹ã‚¯ãƒªãƒ—トã®å…¨ä½“を示ã—ã¦ãŠã。 -\begin{verbatim} -　Fhead="mid"; -　Texparent=""; -　Ketinit(); -　Ketinitmv(); -　mid(p1,p2):=(p1+p2)/2; -　Circledata("1",[[0,0],[2,0]]); -　Ptsize(4); -　Pointdata("1",[4,0]); -　Mf(t):=( -　 pt=2*[cos(t),sin(t)]; -　 Listplot("2",[[4,0],pt]); -　 Pointdata("2",pt); -　 Pointdata("3",mid(pt,[4,0])); -　 Letter([[4,0],"s","A",pt,"en","P",mid(pt,[4,0]),"ne","Q"]); -　); -　Moviedata("Mf(s)","s=[0,2*pi]",["Div=30","Cut=10"]); -　Mvdispg(); -\end{verbatim} -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +\hypertarget{setslidebody}{} +\item[関数] Setslidebody(bodycolor,bodystyle,density) +\item[機能] 全体ã®æ–‡å—スタイルã¨è–„æ–‡å—ã®æ¿ƒã•(0-1)ã®è¨å®š +\item[説明] 引数ã®æ„味ã¯æ¬¡ã®é€šã‚Šã€‚ +\begin{tabbing} +1234567890123\=4567890\=\kill +bodycolor \> æ–‡å—色 : åˆæœŸè¨å®šã¯ "blue"\\ +bodystyle \> フォントタイプ : åˆæœŸè¨å®šã¯ã€€\verb|"\Large\bf\boldmath"|\\ +density \> è–„æ–‡å—ã®æ¿ƒã• : åˆæœŸè¨å®šã¯ 0.1 +\end{tabbing} -\hypertarget{setpara}{} -\item[関数]　Setpara(str) -\item[機能]　parapa ã®ã‚¿ã‚¤ãƒˆãƒ«ã‚’指定ã™ã‚‹ -\item[説明]　パラパラ動画ã®ã‚¿ã‚¤ãƒˆãƒ«ã‚’ str ã«ã™ã‚‹ã€‚デフォルト㯠Fhead。\\ -　"" ã«ã—ãŸå ´åˆã¯ã‚¿ã‚¤ãƒˆãƒ«ã‚’表示ã—ãªã„。 +引数ãŒãªã„å ´åˆã‚„（ \verb|Setslidebody()|）ã“ã®é–¢æ•°ã‚’書ã‹ãªã„å ´åˆã¯åˆæœŸå€¤ãŒä½¿ã‚れる。 -\end{description} +ã‚る引数ã ã‘を指定ã—ãŸã„å ´åˆã¯ï¼Œãれよりå‰ã¯ç©ºã«ã™ã‚‹ã€‚ -\newpage +ã€ä¾‹ã€‘\verb|Setslidebody(,"\large")| +\vspace{\baselineskip} +\hypertarget{setslidehyper}{} +\item[関数] Setslidehyper("dvipdfmx",options) +\item[機能] é †è¡¨ç¤ºã§ãƒšãƒ¼ã‚¸é€ã‚Šã®ã‚³ãƒ³ãƒˆãƒãƒ¼ãƒ©ã‚’è¨å®šã™ã‚‹ã€‚ +\item[説明] é †è¡¨ç¤ºã—ãªã„ã¨ãã‚‚ã“ã®é–¢æ•°ã®è¨˜è¿°ã¯å¿…é ˆã¨è€ƒãˆã¦ã‚ˆã„。 -%== 3D =============== -\section{\ketcindy 3D} -\subsection{概è¦} -\ketcindy 3Dã®ç”»é¢ã¯æ¬¡ã®ã‚ˆã†ã«æ§‹æˆã•ã‚Œã‚‹ã€‚ +パッケージ hyperref.styã‚’èªã¿è¾¼ã¿ï¼Œã‹ã¤ï¼Œoptions ã®å€¤ã‚’与ãˆã‚‹ã€‚ + +\verb|Setslidehyper();| ã¯ç„¡åŠ¹ã€‚åˆæœŸè¨å®šã§ä½¿ã†å ´åˆã¯ \verb|Setslidehyper("");| ã¨ã™ã‚‹ã€‚ + +第１引数㯠hyperref.sty ã®ç¬¬ï¼‘パラメータ。åˆæœŸè¨å®šã¯ "dvipdfmx" -Cinderellaã®æç”»é¢ã«ï¼Œç™½ã®çŸ©å½¢ã§å›²ã‚“ã é ˜åŸŸãŒï¼’ã¤ã§ãる。NE,SWを対角ã¨ã™ã‚‹å·¦å´ã®é ˜åŸŸã‚’主画é¢ï¼Œå³å´ã®é ˜åŸŸã‚’副画é¢ã¨ã„ã†ã€‚\\ +options 㯠["cl=bool,lc=col,fc=col","Pos=[x,y]","Size=n"] -　　　　　　\includegraphics[bb=0 0 1776 998 , width=8cm]{Fig3d/3dstart.png}\\ +\begin{tabbing} +12345\=4567890\=\kill +cl \> colorlinks : リンクã«è‰²ã‚’ã¤ã‘ã‚‹ã‹ã©ã†ã‹ã€‚true / false ã§æŒ‡å®šã€‚ åˆæœŸè¨å®šã¯ true\\ +lc \> linkcolor : コントãƒãƒ¼ãƒ©ã®è‰²ã€‚色åã§æŒ‡å®šã€‚ åˆæœŸè¨å®šã¯ blue\\ +fc\> filecolor リンクã®è‰²ã€‚色åã§æŒ‡å®šã€‚ åˆæœŸè¨å®šã¯ blue\\ +以上３ã¤ã¯ï¼Œã‚»ãƒƒãƒˆã§æŒ‡å®šã€‚一部åˆæœŸå€¤ã‚’使ã†å ´åˆã¯\verb|lc=,| ã®ã‚ˆã†ã«å³è¾ºã‚’空ã«ã™ã‚‹ã€‚\\ +Pos \> コントãƒãƒ¼ãƒ©ã®ä½ç½®ã€‚ åˆæœŸè¨å®šã¯ [125,73]　（左上ãŒåŽŸç‚¹ï¼‰\\ +Size \> コントãƒãƒ¼ãƒ©ã®å¤§ãã•ã€‚ åˆæœŸè¨å®šã¯1 +\end{tabbing} -主画é¢ã¯å¹³é¢ã®å ´åˆã¨åŒæ§˜ï¼ŒTeXã«å‡ºåŠ›ã•ã‚Œã‚‹ç¯„囲を示ã—，NE,SWã®ï¼’点をドラッグã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šå¤‰æ›´ã§ãる。 -副画é¢ã¯ï¼ŒStart3d() 関数ã«ã‚ˆã‚Šä½œæˆã•ã‚Œã‚‹ã€‚座標軸ã¯ï¼ŒXyzax3data() 関数ã«ã‚ˆã£ã¦æãã“ã¨ãŒã§ãる。主画é¢ã®ä¸‹æ–¹ã®ã‚¹ãƒ©ã‚¤ãƒ€ã§è¦–点ãŒç§»å‹•ã§ã，主画é¢ä¸Šã§ã¯è»¸ãŒå›žè»¢ã™ã‚‹ã€‚副画é¢ã¯ï¼Œxyå¹³é¢ä¸Šã«è¦–点を置ã„ãŸã‚‚ã®ã¨è€ƒãˆã‚Œã°ã‚ˆã„。 +\vspace{\baselineskip} +\hypertarget{setslidemain}{} +\item[関数] Setslidemain([letterc,boxc,boxd,framec,xpos,size]) +\item[機能] メインスライド（セクション区切り）ã®è¨å®š +\item[説明] 引数ã®ä¸€éƒ¨ã‚’ åˆæœŸè¨å®šå€¤ã¨ã™ã‚‹å ´åˆã¯ [,,,,3] ã‚„ [,"red"] ãªã©ã¨ã™ã‚‹ã€‚ +\begin{tabbing} +1234567\=4567890\=\kill +letterc \> æ–‡å—ã®è‰²ã€‚ åˆæœŸè¨å®šã¯ CMYK㧠[0.98,0.13,0,0.43]\\ +boxc \> ボックスã®è‰²ã€‚ åˆæœŸè¨å®šã¯ [0,0.32,0.52,0] \\ +frame\> フレームã®è‰²ã€‚ åˆæœŸè¨å®šã¯ [0,0.32,0.52,0]\\ +xpos \> タイトルã®æ°´å¹³ä½ç½®ã€‚ åˆæœŸè¨å®šã¯ 62\\ +size \> タイトルã®å€çŽ‡ã€‚ åˆæœŸè¨å®šã¯ 2 +\end{tabbing} -主画é¢ä¸Šã«Cinderellaã®ä½œå›³ãƒ„ールã§ç‚¹ã‚„線分を作図ã™ã‚‹ã¨ï¼ŒStart3d() 関数ã«ã‚ˆã‚Šå‰¯ç”»é¢ã«å¯¾å¿œã™ã‚‹ç‚¹ãŒä½œå›³ã•ã‚Œã‚‹ã€‚主画é¢ä¸Šã®ç‚¹ã‚’ドラッグã™ã‚‹ã¨x,y座標を変更ã§ã，副画é¢ä¸Šã®ç‚¹ã‚’ドラッグã™ã‚‹ã¨z座標を変更ã§ãる。空間内ã®ç‚¹ã¯ï¼ŒPutpoint3d()関数ã«ã‚ˆã£ã¦åº§æ¨™ã‚’指定ã—ã¦ä½œæˆã™ã‚‹ã“ã¨ã‚‚ã§ãる。次ã®ã‚ˆã†ãªå›³ã¯Cinderellaã®ä½œå›³ãƒ„ールã ã‘ã§ã‚‚作るã“ã¨ãŒã§ãã‚‹ã—，Putpoint3d()関数を用ã„ã¦ã‚‚作るã“ã¨ãŒã§ãる。\\ -　　\includegraphics[bb=0 0 1892 840 , width=10cm]{Fig3d/3dscreen.png}\\ +\vspace{\baselineskip} +\hypertarget{setslidepage}{} +\item[関数] Setslidepage([letterc,boxc,boxd,framec,shadowc,xpos,size]) +\item[機能] ページã®è¨å®šã‚’ã™ã‚‹ã€‚ +\item[説明] 引数ã®ä¸€éƒ¨ã‚’ åˆæœŸè¨å®šå€¤ã¨ã™ã‚‹å ´åˆã¯ [,,,,3] ã‚„ [,"red"]ãªã©ã¨ã™ã‚‹ã€‚ -主画é¢ã¨å‰¯ç”»é¢ã®å¯¾å¿œã™ã‚‹ç‚¹ã‚’ドラッグã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šï¼Œã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ã«å›³å½¢ã‚’æãã“ã¨ãŒã§ãã‚‹ãŒã€å®Ÿéš›ã«ã¯æ画関数を用ã„ã¦å›³å½¢ã‚’æã，スライダã§è¦–点を変ãˆã¦è¦‹ã‚„ã™ã„図をTeXã«å‡ºåŠ›ã™ã‚‹ã“ã¨ã«ãªã‚‹ã ã‚ã†ã€‚ +\begin{tabbing} +1234567\=4567890\=\kill +letterc \> æ–‡å—ã®è‰²ã€‚ åˆæœŸè¨å®šã¯ CMYK㧠[0.98,0.13,0,0.43]\\ +boxc \> ボックスã®è‰²ã€‚ åˆæœŸè¨å®šã¯ [0,0.32,0.52,0] \\ +frame\> フレームã®è‰²ã€‚ åˆæœŸè¨å®šã¯ [0,0.32,0.52,0]\\ +shadowc \> å½±ã®è‰²ã€‚ åˆæœŸè¨å®šã¯ [0,0,0,0.5]\\ +xpos \> タイトルã®æ°´å¹³ä½ç½®ã€‚ åˆæœŸè¨å®šã¯ 6\\ +size \> タイトルã®å€çŽ‡ã€‚ åˆæœŸè¨å®šã¯ 1.3 +\end{tabbing} + +\vspace{\baselineskip} +\hypertarget{setslidemargin}{} +\item[関数] Setslidemargin([leftmarginchange,topmarginchange]) +\item[機能] スライドã®å·¦ä¸Šãƒžãƒ¼ã‚¸ãƒ³ã‚’デフォルトã‹ã‚‰å¤‰æ›´ã™ã‚‹å ´åˆã®å€¤ã€‚ +\item[説明] Setslidemargin([+5,-10]);（横方å‘ã«$+5$mm，縦方å‘ã«$-10$mm変更） -KeTCindy3Dã§ã¯ï¼Œç‚¹ãƒ»ç›´ç·šãƒ»æ›²ç·šãƒ»é¢ã®æ画をæ画関数を用ã„ã¦è¡Œã†ã“ã¨ãŒã§ãる。線やé¢ã«ã¤ã„ã¦ã¯é™°ç·šå‡¦ç†ã‚’è¡Œã„，立体的ãªå›³ã‚’作æˆã™ã‚‹ã“ã¨ãŒã§ãる。ã—ã‹ã—，陰線処ç†ã¯å‡¦ç†ã«ã‹ãªã‚Šã®æ™‚é–“ãŒã‹ã‹ã‚‹ã®ã§ï¼ŒCindyscriptã§ã¯ãªãScilabã§è¡Œã£ã¦ã„ã‚‹ãŒï¼Œãã‚Œã§ã‚‚相当時間ãŒã‹ã‹ã‚‹ã“ã¨ã‚’覚悟ã—ãªã‘ã‚Œã°ãªã‚‰ãªã„。Scilabã§ã®è¨ˆç®—ã¯ï¼Œãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ«/シェルファイルã§è¡Œã£ã¦ã„ã‚‹ãŒï¼ŒCindyscriptã§ã¯ãã®è¨ˆç®—çµæžœãŒå‡ºã‚‹ã®ã‚’å¾…ã¤ãŸã‚一時的ã«åå¿œãŒãªããªã‚‹ã€‚ã—ãŸãŒã£ã¦ï¼Œåå¿œãŒãªããªã£ã¦ã‚‚ãƒãƒ³ã‚°ã‚¢ãƒƒãƒ—ã§ã¯ãªã„ã®ã§ï¼ŒCinderellaを強制終了ã—ãªã„よã†ã«ã€‚ +\vspace{\baselineskip} +\hypertarget{settitle}{} +\item[関数] Settitle(タイトルリスト,options) +\item[機能] タイトルスライドを作る +\item[説明] タイトルリストã¯ã‚³ãƒ³ãƒžåŒºåˆ‡ã‚Šã§ä½ç½®ã¨æ–‡ã‚’æ–‡å—列ã§ä¸Žãˆã‚‹ã€‚例をå‚照。 +「Titleã€ãƒœã‚¿ãƒ³ã‚’クリックã™ã‚‹ã¨ï¼Œã‚³ãƒ³ãƒ†ãƒ³ãƒ„ファイルãŒãªã„å ´åˆã¯æ–°ãŸã«ä½œã‚‹ã€‚ã™ã§ã«ã‚ã‚‹å ´åˆã¯ä¸Šæ›¸ãã›ãšã‚¿ã‚¤ãƒˆãƒ«ã‚¹ãƒ©ã‚¤ãƒ‰ã®ã¿ã‚’作る。 -一例を示ã™ã¨ï¼Œçƒé¢ã‚’メッシュ入りã§åº§æ¨™è»¸ã¨ã¨ã‚‚ã«é™°ç·šå‡¦ç†ã—ã¦æã„ãŸå ´åˆï¼Œæ¬¡ã®ã‚ˆã†ãªå›³ãŒç”»é¢ã«è¡¨ç¤ºã•ã‚Œã‚‹ã¾ã§ã®æ™‚é–“ã¯ï¼ŒMacBookPro13' (Late 2013) Core i7 2.8GHz 8GB　（OSX 10.11.6）　ã®å ´åˆã§ç´„124秒ã§ã‚ã£ãŸã€‚スクリプト㯠\hyperlink{wireparadata}{Wireparadata() } ã®ä¾‹ã‚’å‚ç…§ã•ã‚ŒãŸã„。\\ -　　　　　　　　　　　　\input{Fig3d/wirepara4}　 +Settitleã®ã‚ªãƒ—ションã¯æ¬¡ã‚’リストã§ä¸Žãˆã‚‹ã€‚ + +\begin{tabbing} +123456789012\=4567890\=\kill +"Title=" \> タイトルスライドã®ãƒ•ã‚¡ã‚¤ãƒ«å。 åˆæœŸè¨å®šã¯ "slide0"。\\ +"Layery=" \> タイトルã®ç¸¦ä½ç½®ã€‚ åˆæœŸè¨å®šã¯0。0ã§ãªã„ã¨ãã¯æ–¹çœ¼ã‚’表示。 \\ +"Color="\> æ–‡å—ã®è‰²ã€‚ åˆæœŸè¨å®šã¯ blue。 +\end{tabbing} + +\vspace{\baselineskip} +ã€ä¾‹ã€‘タイトルã®è¨å®š + +\begin{verbatim} + Settitle([ + "s{60}{20}{メインタイトル}", + "s{60}{50}{åå‰}", + "s{60}{60}{所属}", + "s{60}{70}{æƒ…å ±}" + ] , + ["Title=SlideA","Color=[1,1,0,0]"]); +\end{verbatim} + +出力ã™ã‚‹ \TeX\ ファイルã«ï¼Œ\verb|\begin{layer}| ã®è¨å®šã‚’ã™ã‚‹ã€‚ \verb|s| ã¯ï¼Œæ±è¥¿å—北ã®\verb|s| 。 + +例ã®ã‚ˆã†ã«ï¼Œã‚¿ã‚¤ãƒˆãƒ«ãƒªã‚¹ãƒˆã¯æ”¹è¡Œã™ã‚‹ã¨è¦‹ã‚„ã™ã„。 + +\end{description} +\newpage +%================== 3D =============== +\section{\ketcindy 3D} +\subsection{概è¦} +\ketcindy 3Dã®ç”»é¢ã¯æ¬¡ã®ã‚ˆã†ã«æ§‹æˆã•ã‚Œã‚‹ã€‚ + +Cinderellaã®æç”»é¢ã«ï¼Œç™½ã®çŸ©å½¢ã§å›²ã‚“ã é ˜åŸŸãŒ2ã¤ã§ãる。NE,SWを対角ã¨ã™ã‚‹å·¦å´ã®é ˜åŸŸã‚’主画é¢ï¼Œå³å´ã®é ˜åŸŸã‚’副画é¢ã¨ã„ã†ã€‚ + +\vspace{\baselineskip} +\begin{center} + \includegraphics[bb=0 0 879.05 447.02 , width=8cm]{Fig/3dstart.pdf} +\end{center} +主画é¢ã¯å¹³é¢ã®å ´åˆã¨åŒæ§˜ï¼ŒTeXã«å‡ºåŠ›ã•ã‚Œã‚‹ç¯„囲を示ã—，NE,SWã®2点をドラッグã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šå¤‰æ›´ã§ãる。主画é¢ã®ä¸‹æ–¹ã®ã‚¹ãƒ©ã‚¤ãƒ€ã§è¦–点ãŒç§»å‹•ã§ã，主画é¢ä¸Šã§ã¯è»¸ãŒå›žè»¢ã™ã‚‹ã€‚副画é¢ã¯ï¼Œxyå¹³é¢ä¸Šã«è¦–点を置ã„ãŸã‚‚ã®ã¨è€ƒãˆã‚Œã°ã‚ˆã„。 + +主画é¢ä¸Šã«Cinderellaã®ä½œå›³ãƒ„ールã§ç‚¹ã‚„線分を作図ã™ã‚‹ã¨ï¼Œå‰¯ç”»é¢ã«å¯¾å¿œã™ã‚‹ç‚¹ãŒä½œå›³ã•ã‚Œã‚‹ã€‚主画é¢ä¸Šã®ç‚¹ã‚’ドラッグã™ã‚‹ã¨x,y座標を変更ã§ã，副画é¢ä¸Šã®ç‚¹ã‚’ドラッグã™ã‚‹ã¨z座標を変更ã§ãる。 + +\vspace{\baselineskip} +\begin{center} + \includegraphics[bb=0.00 0.00 863.04 378.52 , width=10cm]{Fig/3dscreen.pdf} +\end{center} + +KeTCindy3Dã§ã¯ï¼Œç·šã‚„é¢ã«ã¤ã„ã¦ã®é™°ç·šå‡¦ç†ã‚’è¡Œã†ã€‚陰線処ç†ã¯ï¼£è¨€èªžã¨ã®é€£æºã«ã‚ˆã‚Šå‡¦ç†ã‚’速ã‚ã¦ã„る。C言語を使ã†ç’°å¢ƒæ•´å‚™ãŒå¿…è¦ã§ã‚ã‚‹ãŒï¼Œç¾åœ¨ã¯ã“れを標準ã¨ã—ã¦ã„る。C言語ãŒä½¿ãˆãªã„å ´åˆã¯Rã§è¨ˆç®—ã™ã‚‹é–¢æ•°ã‚’用ã„ã‚‹ã“ã¨ã«ãªã‚‹ãŒï¼Œãã®å ´åˆã¯ã‹ãªã‚Šæ™‚é–“ãŒã‹ã‹ã‚‹ã€‚ï¼ˆå ´åˆã«ã‚‚よるãŒ2分程度） \newpage \subsection{è¨å®šãƒ»å®šç¾©} @@ -4352,1683 +5863,1696 @@ KeTCindy3Dã§ã¯ï¼Œç‚¹ãƒ»ç›´ç·šãƒ»æ›²ç·šãƒ»é¢ã®æ画をæ画関数を用ã„ã \begin{description} \hypertarget{ketinit3d}{} -\item[関数]　Ketinit3d() -\item[機能]　KeTCindy3Dã®ä½¿ç”¨å®£è¨€ -\item[説明]　Cinderellaã®ç”»é¢ã‚’３Ｄモードã«ã™ã‚‹ã€‚\\ -　Cinderellaã®æç”»é¢ã«ï¼Œè¦–点移動ã®ãŸã‚ã®ï¼’ã¤ã®ã‚¹ãƒ©ã‚¤ãƒ€ã‚’作る。スライダã¯åˆæœŸä½ç½®ãŒå·¦ç«¯ã«ãªã‚‹ã€‚\\ -　KeTCindyã®ä½¿ç”¨å®£è¨€ Ketinit() ã¨ã¨ã‚‚ã«ç”¨ã„ã‚‹ãŒï¼Œã“ã®é–¢æ•°ã¯ä¸€åº¦ã ã‘実行ã™ã‚Œã°ã‚ˆã„ã®ã§ï¼Œé€šå¸¸ã¯ Initialization スãƒãƒƒãƒˆã«ç½®ã。Ketinit() も，平é¢ã®å ´åˆã¨ç•°ãªã‚Š Initialization スãƒãƒƒãƒˆã«ç½®ã‘ã°ã‚ˆã„。ãŸã ã—，平é¢ã®é–¢æ•°ã‚’多用ã™ã‚‹å ´åˆã¯ï¼ŒKetinit() 㯠Drawスãƒãƒƒãƒˆã«æ›¸ã„ã¦ãŠãã€‚å ´åˆã«ã‚ˆã£ã¦å¤‰æ•°ã®åˆæœŸåŒ–ãªã©ãŒå¿…è¦ãªãŸã‚ã§ã‚る。KeTCindy3Dã«ãŠã‘る変数ã®åˆæœŸåŒ–ãªã©ã¯ï¼ŒStart3d()ã§è¡Œã‚れる。\\ -　\\ +\item[関数] Ketinit3d() +\item[機能] KeTCindy3Dã®ä½¿ç”¨å®£è¨€ +\item[説明] Cinderellaã®ç”»é¢ã‚’3Ｄモードã«ã™ã‚‹ã€‚ +Cinderellaã®æç”»é¢ã«ï¼Œè¦–点移動ã®ãŸã‚ã®2ã¤ã®ã‚¹ãƒ©ã‚¤ãƒ€ã‚’作る。スライダã¯åˆæœŸä½ç½®ãŒå·¦ç«¯ã«ãªã‚‹ã€‚ + +\textcolor{red}{＜é‡è¦ï¼ž} + + ã“ã®é–¢æ•°ã¯ Initialization スãƒãƒƒãƒˆã«ç½®ã。Ketinit() も，平é¢ã®å ´åˆã¨ç•°ãªã‚Š Initialization スãƒãƒƒãƒˆã«ç½®ã。KeTCindy3Dã«ãŠã‘る変数ã®åˆæœŸåŒ–ãªã©ã‚’è¡Œã†ï¼ŒStart3d()ã¯Drawスãƒãƒƒãƒˆã«æ›¸ã。 + +\vspace{\baselineskip} \hypertarget{start3d}{} -\item[関数]　Start3d(option) -\item[機能]　３Ｄã®ç”»é¢è¨å®šã¨ç©ºé–“点ã®èªè˜ -\item[説明]　副画é¢ã‚’作り，幾何点を３Ｄã®ç‚¹ã¨ã—ã¦èªè˜ã™ã‚‹ã€‚ã“ã®é–¢æ•°ã¯å¿…é ˆã§ï¼ŒDrawスãƒãƒƒãƒˆã®ã¯ã˜ã‚ã®æ–¹ã«ç½®ã。\\ -　Cinderellaã®ä½œå›³ãƒ„ールã§ï¼Œç‚¹ãƒ»ç·šåˆ†ã‚’作図ã™ã‚‹ã¨ï¼Œå†…部関数㮠Ptseg3data() ã«ã‚ˆã£ã¦ãれらを空間ã®ç‚¹ã¨ã—ã¦èªè˜ã—，副画é¢ä¸Šã«å¯¾å¿œã™ã‚‹ç‚¹ã‚’ã¨ã‚‹ã€‚ãŸã ã—，始ã‚ã¯z座標をï¼ã¨ã™ã‚‹ã€‚点ã®åå‰ãŒAã§ã‚ã‚Œã°ï¼Œå‰¯ç”»é¢ä¸Šã®ç‚¹ã¯Azã¨ãªã‚‹ã€‚点をãƒã‚¤ãƒ³ãƒˆã—ã¦é¸æŠžã™ã‚‹ã¨å‰¯ç”»é¢ã®ä¸Šã«åº§æ¨™ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -　作図ã—ãŸç‚¹ã®å称をインスペクタã§å¤‰æ›´ã—ãŸå ´åˆï¼Œæ–°ã—ã„å称ã«å¯¾å¿œã™ã‚‹ç‚¹ã‚’副画é¢ä¸Šã«ä½œæˆã™ã‚‹ãŒï¼Œä»¥å‰ã®ç‚¹ã¯æ¶ˆãˆãªã„ã®ã§è¦æ³¨æ„。ãŸã¨ãˆã°ï¼Œç‚¹Aを作図ã—ãŸå¾Œï¼Œä¸»ç”»é¢ä¸Šã®ç‚¹Aをインスペクタã§ç‚¹Dã«å¤‰ãˆãŸå ´åˆï¼Œå‰¯ç”»é¢ä¸Šã«æ–°ãŸã«DzãŒã§ãã‚‹ãŒï¼Œä»¥å‰ã®Azも残る。残ã£ãŸAzã¯ï¼Œé¸æŠžã—ã¦ãŠã„ã¦ä½œå›³ãƒ„ールã®æ¶ˆåŽ»ãƒœã‚¿ãƒ³ \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/delete.png}ã§æ¶ˆã™ã“ã¨ãŒã§ãる。\\ -　optionã«ï¼Œé™¤å¤–点ã®ãƒªã‚¹ãƒˆã‚’与ãˆã‚‹ã¨ï¼Œãã®ç‚¹ã¯ç©ºé–“点ã¨ã—ãªã„。（始点を移動ã—ã¦ã‚‚ä½ç½®ã¯å¤‰ã‚らãªã„）\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +\item[関数] Start3d(option) +\item[機能] 3Ｄã®ç”»é¢è¨å®šã¨ç©ºé–“点ã®èªè˜ +\item[説明] 副画é¢ã‚’作り，幾何点を3Ｄã®ç‚¹ã¨ã—ã¦èªè˜ã™ã‚‹ã€‚ã“ã®é–¢æ•°ã¯å¿…é ˆã§ï¼ŒDrawスãƒãƒƒãƒˆã®å…ˆé ã«æ›¸ã。 + +Cinderellaã®ä½œå›³ãƒ„ールã§ï¼Œç‚¹ãƒ»ç·šåˆ†ã‚’作図ã™ã‚‹ã¨ï¼Œå†…部関数㮠Ptseg3data() ã«ã‚ˆã£ã¦ãれらを空間ã®ç‚¹ã¨ã—ã¦èªè˜ã—，副画é¢ä¸Šã«å¯¾å¿œã™ã‚‹ç‚¹ã‚’ã¨ã‚‹ã€‚ãŸã ã—，始ã‚ã¯z座標をï¼ã¨ã™ã‚‹ã€‚点ã®åå‰ãŒAã§ã‚ã‚Œã°ï¼Œå‰¯ç”»é¢ä¸Šã®ç‚¹ã¯Azã¨ãªã‚‹ã€‚点をãƒã‚¤ãƒ³ãƒˆã—ã¦é¸æŠžã™ã‚‹ã¨å‰¯ç”»é¢ã®ä¸Šã«åº§æ¨™ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ + +作図ã—ãŸç‚¹ã®å称をインスペクタã§å¤‰æ›´ã—ãŸå ´åˆï¼Œæ–°ã—ã„å称ã«å¯¾å¿œã™ã‚‹ç‚¹ã‚’副画é¢ä¸Šã«ä½œæˆã™ã‚‹ãŒï¼Œä»¥å‰ã®ç‚¹ã¯æ¶ˆãˆãªã„ã®ã§è¦æ³¨æ„。ãŸã¨ãˆã°ï¼Œç‚¹Aを作図ã—ãŸå¾Œï¼Œä¸»ç”»é¢ä¸Šã®ç‚¹Aをインスペクタã§ç‚¹Dã«å¤‰ãˆãŸå ´åˆï¼Œå‰¯ç”»é¢ä¸Šã«æ–°ãŸã«DzãŒã§ãã‚‹ãŒï¼Œä»¥å‰ã®Azも残る。残ã£ãŸAzã¯ï¼Œé¸æŠžã—ã¦ãŠã„ã¦ä½œå›³ãƒ„ールã®æ¶ˆåŽ»ãƒœã‚¿ãƒ³ \includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/delete.pdf}ã§æ¶ˆã™ã“ã¨ãŒã§ãる。 + +optionã«ï¼Œé™¤å¤–点ã®ãƒªã‚¹ãƒˆã‚’与ãˆã‚‹ã¨ï¼Œãã®ç‚¹ã¯ç©ºé–“点ã¨ã—ãªã„。（始点を移動ã—ã¦ã‚‚ä½ç½®ã¯å¤‰ã‚らãªã„） + +\vspace{\baselineskip} +\hypertarget{startsurf}{} +\item[関数] Startsurf(options) +\item[機能] 曲é¢æç”»ã®åˆæœŸåŒ–ã¨å®šæ•°ã®è¨å®š +\item[説明] options ã§å®šæ•°ã‚’è¨å®šã™ã‚‹ã€‚定数ã¨ã—ã¦ã¯ï¼Œåˆ†å‰²æ•°ï¼ŒCã®ã‚µã‚¤ã‚ºï¼Œèª¤å·®ã®é™ç•Œã‚’è¨å®šã™ã‚‹ã€‚ + +optionsãŒãªã„ã¨ãã¯ï¼Œä»¥ä¸‹ã® åˆæœŸè¨å®šã‚’用ã„る。 + + [50,50],[1500,500,200],[0.01,0.1] + +è¨å®šå¾Œã«åˆæœŸå€¤ã«ãƒªã‚»ãƒƒãƒˆã™ã‚‹ã¨ãã¯ï¼Œæ–‡å—列 "reset" を引数ã«ä¸Žãˆã‚‹ã€‚ + +ã“ã‚Œã«ã‚ˆã‚Šï¼Œé™°ç·šå‡¦ç†ã‚’ã¨ã‚‚ãªã†é¢ã®æç”»ã®æ‰‹é †ã¯ï¼Œæ¬¡ã®ã‚ˆã†ã«ãªã‚‹ã€‚ + +(1) Startsurf(); ã§é¢æç”»ã®å®£è¨€ã‚’ã™ã‚‹ã€‚ + +(2) æ画関数ã§ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’作る。 + +(3) ExeccmdC(); ã§ï¼ŒC言語を用ã„ã¦ã¾ã¨ã‚ã¦æç”»ã™ã‚‹ã€‚ + + +\vspace{\baselineskip} +\hypertarget{isangle}{} +\item[関数] Isangle() +\item[機能] 角度スライダ（視点スライダ）ã®é¸æŠžåˆ¤æ– +\item[説明] 角度スライダをé¸æŠžã—ã¦ã„ã‚‹ã¨ã㯠true ，ãã†ã§ãªã„ã¨ã㯠false ã‚’è¿”ã™ã€‚ + +曲é¢ã®æ画・陰線処ç†ã«ã¯æ™‚é–“ãŒã‹ã‹ã‚‹ãŸã‚，角度スライダを動ã‹ã™ã¨åå¿œãŒæ‚ªããªã‚‹ã€‚ãã“ã§ï¼Œè§’度スライダをé¸æŠžã—ã¦ã„ã‚‹ã¨ãã¯æ›²é¢ã®æ画をã—ãªã„よã†ã«ã™ã‚‹ã“ã¨ã§åå¿œãŒã‚ˆããªã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘放物é¢ã®æç”» + +次ã®ã‚ˆã†ã«ã™ã‚‹ã¨ï¼Œã‚¹ãƒ©ã‚¤ãƒ€ã®ç‚¹ã‚’é¸ã‚“ã§ã„ã‚‹é–“ã¯ãƒ¯ã‚¤ãƒ¤ãƒ•ãƒ¬ãƒ¼ãƒ モデルãŒæã‹ã‚Œï¼Œç”»é¢ä¸Šã®ä»–ã®éƒ¨åˆ†ã‚’クリックã—ã¦é¸æŠžçŠ¶æ…‹ãŒè§£é™¤ã•ã‚Œã‚‹ã¨é™°ç·šå‡¦ç†ã•ã‚ŒãŸæ”¾ç‰©é¢ãŒæã‹ã‚Œã‚‹ã€‚ +\begin{verbatim} + fd=[ + "z=4-(x^2+y^2)", + "x=R*cos(T)","y=R*sin(T)", + "R=[0,2]","T=[0,2*pi]","e" + ]; + if(Isangle(), + Sf3data("1",fd); + , + Startsurf(); + Sfbdparadata("1",fd); + Crvsfparadata("1","ax3d","sfbd3d1",fd); + ExeccmdC("1"); + ); +\end{verbatim} \end{description} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + \newpage \subsection{æç”»} \begin{description} \hypertarget{bezier3d}{} -\item[関数]　Bezier3d(name,リスト1,リスト2) -\item[機能]　空間ベジェ曲線をæã -\item[説明]　引数ã¯ãƒªã‚¹ãƒˆ1ãŒç«¯ç‚¹ãƒªã‚¹ãƒˆï¼Œãƒªã‚¹ãƒˆ2ãŒåˆ¶å¾¡ç‚¹ãƒªã‚¹ãƒˆ\\ -　１組ã®ç«¯ç‚¹ã«ã¤ã，２ã¤ã®åˆ¶å¾¡ç‚¹ã‚’使ã†ã€‚\\ -　\\ -ã€ä¾‹ã€‘ã„ãã¤ã‹ã®ç‚¹ã‚’ベジェ曲線ã§çµã¶\\ -　端点A,Bã«å¯¾ã—，制御点をD,Eã¨ã™ã‚‹ã€‚\\ -　　\verb|Bezier3d("1",["A","B"],["D","E"]);| 　\\ -　端点A,Bã«å¯¾ã—，制御点をD,Eã¨ã—，端点BCã«å¯¾ã—制御点をE,Fã¨ã™ã‚‹ã€‚\\ -　　\verb|Bezier3d("1",["A","B","C"],["D","E","E","F"]);|\\ -　端点A,Bã«å¯¾ã—，制御点をD,Eã¨ã—，端点BCã«å¯¾ã—制御点をF,Gã¨ã™ã‚‹ã€‚（図）\\ -　　\verb|Bezier3d("1",["A","B","C"],["D","E","F","G"]);|\\ -　　\input{Fig3d/bezier3d1} - -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{changstyle3d}{} -\item[関数]　Changstyle3d(リスト,リスト) -\item[機能]　3Dプãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å±žæ€§ã‚’変更 -\item[説明]　第１引数ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å±žæ€§ã‚’，第２引数ã«å¤‰æ›´ã™ã‚‹ã€‚\\ -ãŸã¨ãˆã°ï¼Œè£œåŠ©ç·šãªã©ï¼Œç”»é¢ã«ã¯æã„ã¦ã‚‚TeXã«æ›¸ã出ã•ãªã„ç·šã‚’æç”»ã™ã‚‹ã¨ãã¯ï¼Œoptionã«["notex"] ã‚’ã¤ã‘ã‚‹ãŒï¼Œã“れをã‚ã¨ã‹ã‚‰ä»˜åŠ ã—ãŸã„å ´åˆã«åˆ©ç”¨ã™ã‚‹ã€‚プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ãƒªã‚¹ãƒˆã«ã§ãã‚‹ã®ã§ï¼Œè¤‡æ•°ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å±žæ€§ã‚’ã¾ã¨ã‚ã¦å¤‰æ›´ã™ã‚‹ã“ã¨ãŒã§ãã¦ä¾¿åˆ©ã§ã‚る。\\ -　\\ -ã€ä¾‹ã€‘ï¼”ã¤ã®ç‚¹ã§å››é¢ä½“ã®è¾ºã‚’æã，ã¾ã¨ã‚㦠notex ã«ã™ã‚‹ã€‚点A,B,C,Dã¯ã¨ã£ã¦ã‚ã‚‹ã‚‚ã®ã¨ã™ã‚‹ã€‚ -\begin{verbatim} -　Spaceline("1",[A,B]); -　Spaceline("2",[A,C]); -　Spaceline("3",[B,C]); -　Spaceline("4",[A,D]); -　Spaceline("5",[B,D]); -　Spaceline("6",[C,D]); -　edges=apply(1..6,"sl3d"+text(#)); -　Changestyle3d(edges,["notex"]); -\end{verbatim} - -\hypertarget{concatobj}{}　　 -\item[関数]　Concatobj(リスト,option) -\item[機能]　ã„ãã¤ã‹ã®objデータをçµåˆã™ã‚‹ -\item[説明]　多é¢ä½“ã®å„é¢ã®é ‚点リストã‹ã‚‰é¢ãƒ‡ãƒ¼ã‚¿ï¼ˆé ‚点リストã¨é¢ãƒªã‚¹ãƒˆï¼‰ã‚’作る。\\ -　\\ -ã€ä¾‹ã€‘４点A,B,C,Dã‚’é ‚ç‚¹ã¨ã™ã‚‹å››é¢ä½“ã‚’æã。\\ -　四é¢ä½“ã¯ï¼”ã¤ã®é¢ã‹ã‚‰ãªã£ã¦ã„ã‚‹ã€‚é ‚ç‚¹ã‚’A,B,C,Dã¨ã™ã‚‹ã¨ï¼Œï¼”ã¤ã®é¢ã¯\\ -　　　　　　　△ABC，△ABD，△ACD，△BCD\\ -　ã§ã‚る。\\ -　　　　\input{Fig3d/concatobj}\\ -　ãã“ã§\\ -　　\verb|Concatobj([[A,B,C],[A,B,D],[A,C,D],[B,C,D]]);|\\ -　ã¨ã™ã‚‹ã¨ï¼Œé¢ãƒ‡ãƒ¼ã‚¿ã€€[[A,B,C,D],[[1,2,3],[1,2,4],[1,3,4],[2,3,4]]] 　ãŒè¿”ã•ã‚Œã‚‹ã€‚\\ -　ã“ã®é¢ãƒ‡ãƒ¼ã‚¿ã‚’使ã£ã¦å››é¢ä½“ã‚’æãã“ã¨ãŒã§ãる。コード例ã¯ï¼Œ\hyperlink{vertexedgeface}{VertexEdgeFace()} ã‚’å‚ç…§ã®ã“ã¨ã€‚ - -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +\item[関数] Bezier3d(name,リスト1,リスト2) +\item[機能] 空間ベジェ曲線をæã +\item[説明] 引数ã¯ãƒªã‚¹ãƒˆ1ãŒç«¯ç‚¹ãƒªã‚¹ãƒˆï¼Œãƒªã‚¹ãƒˆ2ãŒåˆ¶å¾¡ç‚¹ãƒªã‚¹ãƒˆ + +１組ã®ç«¯ç‚¹ã«ã¤ã，2ã¤ã®åˆ¶å¾¡ç‚¹ã‚’使ã†ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘ã„ãã¤ã‹ã®ç‚¹ã‚’ベジェ曲線ã§çµã¶ + + 端点A,Bã«å¯¾ã—，制御点をD,Eã¨ã™ã‚‹ã€‚ + + \verb|Bezier3d("1",["A","B"],["D","E"]);| \vspace{\baselineskip} + + 端点A,Bã«å¯¾ã—，制御点をD,Eã¨ã—，端点BCã«å¯¾ã—制御点をE,Fã¨ã™ã‚‹ã€‚ + + \verb|Bezier3d("1",["A","B","C"],["D","E","E","F"]);| + + 端点A,Bã«å¯¾ã—，制御点をD,Eã¨ã—，端点BCã«å¯¾ã—制御点をF,Gã¨ã™ã‚‹ã€‚（図） + + \verb|Bezier3d("1",["A","B","C"],["D","E","F","G"]);| + + \begin{center} \input{Fig/bezier3d1} \end{center} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{changestyle3d}{} +\item[関数] Changestyle3d(リスト,リスト) +\item[機能] 3Dプãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å±žæ€§ã‚’変更 +\item[説明] 第１引数ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å±žæ€§ã‚’，第2引数ã«å¤‰æ›´ã™ã‚‹ã€‚ + +ãŸã¨ãˆã°ï¼Œè£œåŠ©ç·šãªã©ï¼Œç”»é¢ã«ã¯æã„ã¦ã‚‚TeXã«æ›¸ã出ã•ãªã„ç·šã‚’æç”»ã™ã‚‹ã¨ãã¯ï¼Œoptionã«["notex"] ã‚’ã¤ã‘ã‚‹ãŒï¼Œã“れをã‚ã¨ã‹ã‚‰ä»˜åŠ ã—ãŸã„å ´åˆã«åˆ©ç”¨ã™ã‚‹ã€‚プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ãƒªã‚¹ãƒˆã«ã§ãã‚‹ã®ã§ï¼Œè¤‡æ•°ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å±žæ€§ã‚’ã¾ã¨ã‚ã¦å¤‰æ›´ã™ã‚‹ã“ã¨ãŒã§ãã¦ä¾¿åˆ©ã§ã‚る。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘4ã¤ã®ç‚¹ã§å››é¢ä½“ã®è¾ºã‚’æã，ã¾ã¨ã‚㦠notex ã«ã™ã‚‹ã€‚点A,B,C,Dã¯ã¨ã£ã¦ã‚ã‚‹ã‚‚ã®ã¨ã™ã‚‹ã€‚ +\begin{verbatim} + Spaceline("1",[A,B]); + Spaceline("2",[A,C]); + Spaceline("3",[B,C]); + Spaceline("4",[A,D]); + Spaceline("5",[B,D]); + Spaceline("6",[C,D]); + edges=apply(1..6,"sl3d"+text(#)); + Changestyle3d(edges,["notex"]); +\end{verbatim} + +\hypertarget{concatobj}{} +\item[関数] Concatobj(リスト,option) +\item[機能] ã„ãã¤ã‹ã®objデータをçµåˆã™ã‚‹ +\item[説明] 多é¢ä½“ã®å„é¢ã®é ‚点リストã‹ã‚‰é¢ãƒ‡ãƒ¼ã‚¿ï¼ˆé ‚点リストã¨é¢ãƒªã‚¹ãƒˆï¼‰ã‚’作る。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘4点A,B,C,Dã‚’é ‚ç‚¹ã¨ã™ã‚‹å››é¢ä½“ã‚’æã。 + +å››é¢ä½“ã¯4ã¤ã®é¢ã‹ã‚‰ãªã£ã¦ã„ã‚‹ã€‚é ‚ç‚¹ã‚’A,B,C,Dã¨ã™ã‚‹ã¨ï¼Œ4ã¤ã®é¢ã¯ + + â–³ABC，△ABD，△ACD，△BCD\\ +ã§ã‚る。 + + \begin{center} \input{Fig/concatobj} \end{center} + +ãã“㧠+ + \verb|Concatobj([[A,B,C],[A,B,D],[A,C,D],[B,C,D]]);| + +ã¨ã™ã‚‹ã¨ï¼Œé¢ãƒ‡ãƒ¼ã‚¿ [[A,B,C,D],[[1,2,3],[1,2,4],[1,3,4],[2,3,4]]] ãŒè¿”ã•ã‚Œã‚‹ã€‚ + +ã“ã®é¢ãƒ‡ãƒ¼ã‚¿ã‚’使ã£ã¦å››é¢ä½“ã‚’æãã“ã¨ãŒã§ãる。コード例ã¯ï¼Œ\hyperlink{vertexedgeface}{VertexEdgeFace()} ã‚’å‚ç…§ã®ã“ã¨ã€‚ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} \hypertarget{crvsfparadata}{} -\item[関数]　Crvsfparadata(name,PD1,PD2,å¼,options1,options2) -\item[機能]　曲線ã®æ›²é¢ã«ã‚ˆã‚‹é™°ç·šå‡¦ç† -\item[説明]　曲線PD1を表示ã™ã‚‹ã«ã‚ãŸã‚Šï¼Œæ›²é¢PD2ã«ã‚ˆã£ã¦éš れる部分をéžè¡¨ç¤ºã«ã™ã‚‹ã€‚\\ -通常ã¯æ›²é¢PD2も表示ã™ã‚‹ã®ã§ï¼ŒSfbdparadata() ã‚‚åŒæ™‚ã«ç”¨ã„ã‚‹ã“ã¨ã«ãªã‚‹ã€‚曲é¢ã‚’表示ã—ãªã‘ã‚Œã°ï¼Œæ›²ç·šã ã‘ãŒé™°ç·šå‡¦ç†ã•ã‚ŒãŸçŠ¶æ…‹ã§è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -第4引数ã®å¼ã¯ï¼ŒPD2ã‚’æããŸã‚ã®å¼ã€‚\\ -options1 ã«ã¯"r","m", "Wait=n" ãŒæŒ‡å®šã§ãる。Wait ã®åˆæœŸå€¤ã¯20\\ -　"r","m"ã«é–¢ã—ã¦ã¯ï¼Œã‚ªãƒ—ションãªã—ã¾ãŸã¯ï¼Œâ€â€ ã®ã¨ã\\ -　　i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る\\ -　　ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれをèªã¿è¾¼ã‚€\\ -　"m" ã®ã¨ã，強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚\\ -　"r" ã®ã¨ã，ã™ã§ã«ã‚るデータファイルをèªã¿è¾¼ã‚€ã€‚\\ -options2 ã«ã¯ 軸ã®é™°ç·šã®è¡¨ç¤ºã«ã¤ã„㦠"nodisp" ã¾ãŸã¯ç·šç¨®ãŒæŒ‡å®šã§ãる。デフォルト㯠"nodisp"。\\ -options2ã ã‘を指定ã—ãŸã„å ´åˆã¯ï¼Œoptions1 を空リスト [ ] ã«ã™ã‚‹ã€‚\\ -　\\ -ã€ä¾‹ã€‘回転放物é¢ã¨åº§æ¨™è»¸ï¼Œç·šåˆ†ã‚’æã。\\ -デフォルトã§ã¯é™°ç·šã¯éžè¡¨ç¤ºã§ã‚る。（下図左） -\begin{verbatim} -　Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]"); -　Putpoint3d(["A",[0,-3,0],"B",[0,3,3]],"fix"); -　Spaceline([A,B]); -　fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]","e"]; -　Sfbdparadata("1",fd); -　Crvsfparadata("1","AB3d","sfbd3d1",fd); -　Crvsfparadata("2","ax3d","sfbd3d1",fd); -\end{verbatim} -options2ã«ç·šç¨®æŒ‡å®š ["do"] ã‚’ã¤ã‘ã‚‹ã¨ï¼Œé™°ç·šã¯ç‚¹ç·šã§è¡¨ç¤ºã•ã‚Œã‚‹ã€‚（下図å³ï¼‰ -\begin{verbatim} -Sfbdparadata("1",fd,[],["do"]); -Crvsfparadata("1","AB3d","sfbd3d1",fd,[],["do"]); -Crvsfparadata("2","ax3d","sfbd3d1",fd,[],["do"]); -\end{verbatim} - -　　　　\input{Fig3d/crvsfparadata1}　　　\input{Fig3d/crvsfparadata2} -　\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{datalist}{}　　 -\item[関数]　Datalist2d() -\item[機能]　画é¢ä¸Šã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆã‚’å–å¾—ã™ã‚‹ -\item[説明]　画é¢ã«æã‹ã‚Œã¦ã„ã‚‹ã™ã¹ã¦ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆã‚’è¿”ã™ã€‚\\ -空間図形ã¯ï¼ŒCinderellaã®ç”»é¢ä¸Šã«å°„å½±ã—表示ã™ã‚‹ã€‚ãã®ãŸã‚，KeTCindy3Dã¯ï¼Œç©ºé–“ã«ãŠã‘るプãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¨ï¼Œç”»é¢ä¸Šã«è¡¨ç¤ºã™ã‚‹ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ï¼’ã¤ã‚’作ã£ã¦ã„る。Datalist2d()ã§ã¯ï¼Œç”»é¢ä¸Šã«è¡¨ç¤ºã™ã‚‹ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆã‚’è¿”ã™ã€‚\\ -　\\ +\item[関数] Crvsfparadata(name,PD1,PD2,å¼) +\item[機能] 曲é¢ã«ã‚ˆã‚‹æ›²ç·šã®é™°ç·šå‡¦ç†ã‚’è¡Œã†ã€‚ +\item[説明] 曲線PD1を表示ã™ã‚‹ã«ã‚ãŸã‚Šï¼Œæ›²é¢PD2ã«ã‚ˆã£ã¦éš れる部分処ç†ã‚’è¡Œã†ã€‚ + +曲é¢PD2ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’作るãŸã‚，Sfbdparadata() ã‚‚åŒæ™‚ã«ç”¨ã„ã‚‹ã“ã¨ã«ãªã‚‹ã€‚nameã¯ï¼ŒSfbdparadata() ã¨åŒã˜ã‚‚ã®ã«ã™ã‚‹ã€‚ + +作図例ã¯ï¼Œ\hyperlink{execcmdc}{ExeccmdC()} ã‚’å‚ç…§ã®ã“ã¨ã€‚ + +C言語ãŒä½¿ãˆãªã„å ´åˆã¯ï¼ŒCrvsfparadataR(name,PD1,PD2,å¼,options1,options2) を使ã†ã€‚ +options1 ã¯åˆ†å‰²æ•°ã¨èª¤å·®é™ç•Œï¼Œ options2 ã¯é™°ç·šã®ç·šç¨®ã€‚ + +\vspace{\baselineskip} +\hypertarget{datalist}{} +\item[関数] Datalist2d() +\item[機能] ç”»é¢ä¸Šã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆã‚’å–å¾—ã™ã‚‹ +\item[説明] ç”»é¢ã«æã‹ã‚Œã¦ã„ã‚‹ã™ã¹ã¦ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆã‚’è¿”ã™ã€‚ + +空間図形ã¯ï¼ŒCinderellaã®ç”»é¢ä¸Šã«å°„å½±ã—表示ã™ã‚‹ã€‚ãã®ãŸã‚，KeTCindy3Dã¯ï¼Œç©ºé–“ã«ãŠã‘るプãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¨ï¼Œç”»é¢ä¸Šã«è¡¨ç¤ºã™ã‚‹ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®2ã¤ã‚’作ã£ã¦ã„る。Datalist2d()ã§ã¯ï¼Œç”»é¢ä¸Šã«è¡¨ç¤ºã™ã‚‹ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆã‚’è¿”ã™ã€‚ + +\vspace{\baselineskip} ã€ä¾‹ã€‘ \begin{verbatim} -　Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]"); -　Putpoint3d(["A",[0,-3,0],"B",[0,3,3]],"fix"); -　Spaceline([A,B]); -　println("PD="+Datalist2d()); + Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]"); + Putpoint3d(["A",[0,-3,0],"B",[0,3,3]],"fix"); + Spaceline("1",[A,B]); + println("PD="+Datalist2d()); \end{verbatim} -ã¨ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ã€€PD=[ax2d,AB2d] 　ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ax2dã¯åº§æ¨™è»¸ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ ax3d ã«ï¼ŒAB2d ã¯ç·šåˆ†ABã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ AB3d ã«å¯¾å¿œã—ã¦ã„る。\\ -　\\ +ã¨ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã« PD=[ax2d,AB2d] ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ax2dã¯åº§æ¨™è»¸ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ ax3d ã«ï¼ŒAB2d ã¯ç·šåˆ†ABã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ AB3d ã«å¯¾å¿œã—ã¦ã„る。 +\vspace{\baselineskip} \hypertarget{datalist}{} -\item[関数]　Datalist3d() -\item[機能]　空間ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆã‚’å–å¾—ã™ã‚‹ -\item[説明]　空間ã«æã‹ã‚Œã¦ã„ã‚‹ã™ã¹ã¦ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆã‚’è¿”ã™\\ -　\\ +\item[関数] Datalist3d() +\item[機能] 空間ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆã‚’å–å¾—ã™ã‚‹ +\item[説明] 空間ã«æã‹ã‚Œã¦ã„ã‚‹ã™ã¹ã¦ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆã‚’返㙠+ +\vspace{\baselineskip} ã€ä¾‹ã€‘ \begin{verbatim} -　Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]"); -　Putpoint3d(["A",[0,-3,0],"B",[0,3,3]],"fix"); -　Spaceline([A,B]); -　println("PD="+Datalist3d()); + Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]"); + Putpoint3d(["A",[0,-3,0],"B",[0,3,3]],"fix"); + Spaceline("1",[A,B]); + println("PD="+Datalist3d()); \end{verbatim} -ã¨ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ã€€PD=[ax3d,AB3d] 　ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ +ã¨ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã« PD=[ax3d,AB3d] ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} \hypertarget{dist3d}{} -\item[関数]　Dist3d(a1,a2) -\item[機能]　空間ã®ï¼’点間ã®è·é›¢ã‚’返㙠-\item[説明]　引数a1,a2 ã¯ä½œå›³ç‚¹ã®å称，空間点ã®å称ã®ã„ãšã‚Œã§ã‚‚よã„。\\ -次ã®ï¼“通りã®è¨˜æ³•ã¯åŒã˜çµæžœã‚’è¿”ã™ã€‚æ··åœ¨ã‚‚å¯ +\item[関数] Dist3d(a1,a2) +\item[機能] 空間ã®2点間ã®è·é›¢ã‚’返㙠+\item[説明] 引数a1,a2 ã¯ä½œå›³ç‚¹ã®å称，空間点ã®å称ã®ã„ãšã‚Œã§ã‚‚よã„。 + +次ã®3通りã®è¨˜æ³•ã¯åŒã˜çµæžœã‚’è¿”ã™ã€‚æ··åœ¨ã‚‚å¯ \begin{verbatim} -　Dist3d("A","B"); -　Dist3d(A,B); -　Dist3d(A3d,B3d); + Dist3d("A","B"); + Dist3d(A,B); + Dist3d(A3d,B3d); \end{verbatim} -　\\ +\vspace{\baselineskip} \hypertarget{drawpoint3d}{} -\item[関数]　Drawpoint3d(座標) -\item[機能]　空間点をæã -\item[説明]　引数ã§ä¸ŽãˆãŸç©ºé–“座標ã®ç‚¹ã‚’æã。ã“ã®ç‚¹ã¯å¹¾ä½•ç‚¹ã§ã¯ãªã„。ã¾ãŸï¼ŒTeX ã«ã‚‚出力ã•ã‚Œãªã„。幾何点ã«ã™ã‚‹ã«ã¯ \hyperlink{putpoint3d}{Putpoint3d()} ã¨ç”¨ã„る。TeXã«ç‚¹ã‚’出力ã™ã‚‹ã«ã¯ï¼Œ\hyperlink{pointdata}{Pointdata()} ã¾ãŸã¯ \hyperlink{drwpt}{Drawpoint()} を用ã„る。\\ +\item[関数] Drawpoint3d(座標) +\item[機能] 空間点をæã +\item[説明] 引数ã§ä¸ŽãˆãŸç©ºé–“座標ã®ç‚¹ã‚’æã。ã“ã®ç‚¹ã¯å¹¾ä½•ç‚¹ã§ã¯ãªã„。ã¾ãŸï¼ŒTeX ã«ã‚‚出力ã•ã‚Œãªã„。幾何点ã«ã™ã‚‹ã«ã¯ \hyperlink{putpoint3d}{Putpoint3d()} を用ã„る。TeXã«ç‚¹ã‚’出力ã™ã‚‹ã«ã¯ï¼Œ\hyperlink{pointdata3d}{Pointdata3d()} を用ã„る。 + 引数ã¯ï¼Œåº§æ¨™ã®ãƒªã‚¹ãƒˆã«ã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ -　\\ +\vspace{\baselineskip} ã€ä¾‹ã€‘ \begin{verbatim} -　Drawpoint3d([1,1,1]); -　Drawpoint3d([[1,1,1],[0,1,0]]); + Drawpoint3d([1,1,1]); + Drawpoint3d([[1,1,1],[0,1,0]]); +\end{verbatim} +\vspace{\baselineskip} + +\hypertarget{execcmdc}{} +\item[関数] ExeccmdC(name,options1,options2) +\item[機能] 曲é¢ã‚’表示ã™ã‚‹ã€‚戻り値ã¯ï¼Œå¯¾è±¡ã«ã—ãŸãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆã€‚ +\item[説明] データãŒä½œæˆã•ã‚ŒãŸæ›²é¢ã‚’表示ã™ã‚‹ã€‚ + +options1 ã«ã¯"r","m", "Wait=n" ã¨è¼ªéƒç·šã®ç·šç¨®ãŒæŒ‡å®šã§ãる。Wait ã®åˆæœŸå€¤ã¯20 + + "r","m"ã«é–¢ã—ã¦ã¯ï¼Œã‚ªãƒ—ションãªã—ã¾ãŸã¯ï¼Œâ€â€ ã®ã¨ã + + i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る + + ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれをèªã¿è¾¼ã‚€ + + "m" ã®ã¨ã，強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚ + + "r" ã®ã¨ã，ã™ã§ã«ã‚るデータファイルをèªã¿è¾¼ã‚€ã€‚ + +options2 ã«ã¯ 軸ã®é™°ç·šã«ã¤ã„㦠"nodisp" ã¾ãŸã¯ç·šç¨®ãŒæŒ‡å®šã§ãる。 åˆæœŸè¨å®šã¯ "do"。 + +options2ã ã‘を指定ã—ãŸã„å ´åˆã¯ï¼Œoptions1 を空リスト [ ] ã«ã™ã‚‹ã€‚ + + +\vspace{\baselineskip} +ã€ä¾‹ã€‘回転放物é¢ã¨åº§æ¨™è»¸ï¼Œç·šåˆ†ã‚’陰線処ç†ã—ãŸãƒ‡ãƒ¼ã‚¿ã‚’作ã£ã¦è¡¨ç¤ºã™ã‚‹ã€‚線分ã®ç«¯ç‚¹A,Bã¯ã‚らã‹ã˜ã‚作図ã—ã¦ãŠã。 + + åˆæœŸè¨å®šã§ã¯é™°ç·šã¯ç‚¹ç·šã§è¡¨ç¤ºã•ã‚Œã‚‹ã€‚（下図左） +\begin{verbatim} + Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]"); + Putpoint3d(["A",[0,-3,0],"B",[0,3,3]],"fix"); + Spaceline([A,B]); + fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]","e"]; + Startsurf(); + Sfbdparadata("1",fd); + Crvsfparadata("1","AB3d","sfbd3d1",fd); + Crvsfparadata("2","ax3d","sfbd3d1",fd); + ExeccmdC("1"); +\end{verbatim} +options2ã‚’ ["nodisp"] ã«ã™ã‚‹ã¨ï¼Œé™°ç·šã¯éžè¡¨ç¤ºã«ãªã‚‹ã€‚（下図å³ï¼‰ +\begin{verbatim} + ExeccmdC("1",[],["nodisp"]); \end{verbatim} -　\\ + \begin{center} \input{Fig/crvsfparadata2} \input{Fig/crvsfparadata1} \end{center} + +戻り値を使ã†ã¨ï¼Œé™°ç·šã®ã‚¹ã‚¿ã‚¤ãƒ«ï¼ˆç·šç¨®ï¼Œè‰²ï¼‰ã‚’変ãˆã‚‹ã“ã¨ãŒã§ãる。戻り値ã¨åŒã˜ã‚‚ã®ãŒã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ã€Œreadoutdata from template3D1.txt : ã€ã¨ã—ã¦è¡¨ç¤ºã•ã‚Œã‚‹ã®ã§ï¼Œã“れを見ã¦æ“作対象を決ã‚ã‚Œã°ã‚ˆã„。ãŸã¨ãˆã°ï¼Œä¸Šã®å·¦å›³ã§ï¼Œç·šåˆ†ABã®é™°ç·šã¯ãƒªã‚¹ãƒˆã®ï¼”番目㮠crvsfh3d1 ãªã®ã§ï¼Œ + +\begin{verbatim} + ret=ExeccmdC("1"); + Changestyle3d(ret_4,["da","Color=red"]); +\end{verbatim} + +ã¨ã™ã‚‹ã¨ï¼Œèµ¤ã®ç ´ç·šã«ãªã‚‹ã€‚ + +\hspace{20mm} \input{Fig/execcmdc1} + +ã“ã®ä»–，\hyperlink{sfbdparadata}{Sfbdparadata()},\hyperlink{wireparadata}{Wireparadata()} ã‚‚å‚ç…§ã®ã“ã¨ã€‚ + +\vspace{\baselineskip} \hypertarget{embed}{} -\item[関数]　Embed(name,PDリスト,å¼,変数リスト) -\item[機能]　２Ｄ図形ã®ç©ºé–“内平é¢ã¸åŸ‹ã‚込む -\item[説明]　第２引数ã¯ï¼’Ｄã®å›³å½¢ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆï¼Œå¼ã¨å¤‰æ•°ã¯å¹³é¢ã‚’記述ã™ã‚‹å¼ã¨å¤‰æ•°ã€‚å¹³é¢ã¯åŽŸç‚¹$vo$ã¨ï¼’ã¤ã®åŸºæœ¬ãƒ™ã‚¯ãƒˆãƒ« $\overrightarrow{vx}，\overrightarrow{vy}$を用ã„ã¦ï¼Œ$vo+x \cdot \overrightarrow{vx}+y \cdot \overrightarrow{vy}$ ã®å½¢ã§è¡¨ã™ã“ã¨ãŒã§ãる。変数（基本ベクトルã®ä¿‚数）ã¯$x,y$ ã§ãªã，$s,t$ ã§ã‚‚よã„。å¼ï¼Œå¤‰æ•°ãƒªã‚¹ãƒˆã¨ã‚‚ã«æ–‡å—列ã«ã™ã‚‹ã€‚ã¾ãŸï¼ŒåŸºæœ¬ãƒ™ã‚¯ãƒˆãƒ«ã¯ç›´äº¤ã—ã¦ã„ãªãã¦ã‚‚よã„ã—，長ã•ãŒç•°ãªã£ã¦ã‚‚よã„ãŒï¼Œç¸¦æ¨ªåŒã˜ã‚¹ã‚±ãƒ¼ãƒ«ã®ç›´äº¤åº§æ¨™ç³»ã«ã™ã‚‹ã®ãŒã‚ã‹ã‚Šã‚„ã™ã„ã ã‚ã†ã€‚\\ -　\\ +\item[関数] Embed(name,PDリスト,å¼,変数リスト) +\item[機能] 2Ｄ図形ã®ç©ºé–“内平é¢ã¸åŸ‹ã‚込む +\item[説明] 第2引数ã¯2Ｄã®å›³å½¢ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆï¼Œå¼ã¨å¤‰æ•°ã¯å¹³é¢ã‚’記述ã™ã‚‹å¼ã¨å¤‰æ•°ã€‚å¹³é¢ã¯åŽŸç‚¹$vo$ã¨2ã¤ã®åŸºæœ¬ãƒ™ã‚¯ãƒˆãƒ« $\overrightarrow{vx}，\overrightarrow{vy}$を用ã„ã¦ï¼Œ$vo+x \cdot \overrightarrow{vx}+y \cdot \overrightarrow{vy}$ ã®å½¢ã§è¡¨ã™ã“ã¨ãŒã§ãる。変数（基本ベクトルã®ä¿‚数）ã¯$x,y$ ã§ãªã，$s,t$ ã§ã‚‚よã„。å¼ï¼Œå¤‰æ•°ãƒªã‚¹ãƒˆã¨ã‚‚ã«æ–‡å—列ã«ã™ã‚‹ã€‚ã¾ãŸï¼ŒåŸºæœ¬ãƒ™ã‚¯ãƒˆãƒ«ã¯ç›´äº¤ã—ã¦ã„ãªãã¦ã‚‚よã„ã—，長ã•ãŒç•°ãªã£ã¦ã‚‚よã„ãŒï¼Œç¸¦æ¨ªåŒã˜ã‚¹ã‚±ãƒ¼ãƒ«ã®ç›´äº¤åº§æ¨™ç³»ã«ã™ã‚‹ã®ãŒã‚ã‹ã‚Šã‚„ã™ã„ã ã‚ã†ã€‚ + +\vspace{\baselineskip} ã€ä¾‹ã€‘æ£ä¸‰è§’å½¢ã¨å¤–接円を空間内ã®å¹³é¢ã«åŸ‹ã‚込む \begin{verbatim} -　Xyzax3data("","x=[-5,4]","y=[-10,4]","z=[-5,5]",["a","O"]); -　Spaceline("1",[[3,0,0],[3,6,0],[3,6,6],[3,0,6],[3,0,0]]); -　Defvar("vo=[3,3,3]"); -　Defvar("vx=[0,1,0]"); -　Defvar("vy=[0,0,1]"); -　Putpoint3d(["A",[3,3,3]],"fix"); -　Circledata("1",[[0,0],[2,0]],["nodisp"]); -　Listplot("1",[[0,2],[-sqrt(3),-1],[sqrt(3),-1],[0,2]],["nodisp"]); -　Embed("1",["cr1","sg1"],"vo+x*vx+y*vy","[x,y]"); -　Ptsize(3); -　Drawpoint(A); -\end{verbatim} - 　　　　\input{Fig3d/embed01} - -　ã“ã“ã§ï¼ŒEmbed()ã§å¼•ã渡㙠vo,vx,vy ã«ã¤ã„ã¦ã¯ï¼ŒScilabã§ã®å¤‰æ•°å®šç¾©ãŒå¿…è¦ãªã®ã§ï¼ˆKeTCindyã§ã¯è¡Œã‚ãªã„）Defvar() ã«ã‚ˆã£ã¦å®šç¾©ã‚’ã—ã¦ã„る。 + Xyzax3data("","x=[-5,4]","y=[-10,4]","z=[-5,5]",["a","O"]); + Spaceline("1",[[3,0,0],[3,6,0],[3,6,6],[3,0,6],[3,0,0]]); + Defvar("vo=[3,3,3]"); + Defvar("vx=[0,1,0]"); + Defvar("vy=[0,0,1]"); + Putpoint3d(["A",[3,3,3]],"fix"); + Circledata("1",[[0,0],[2,0]],["nodisp"]); + Listplot("1",[[0,2],[-sqrt(3),-1],[sqrt(3),-1],[0,2]],["nodisp"]); + Embed("1",["cr1","sg1"],"vo+x*vx+y*vy","[x,y]"); + Ptsize(3); + Drawpoint(A); +\end{verbatim} + \begin{center} \input{Fig/embed01} \end{center} + +ã“ã“ã§ï¼ŒEmbed()ã§å¼•ã渡㙠vo,vx,vy ã«ã¤ã„ã¦ã¯ï¼ŒRã§ã®å¤‰æ•°å®šç¾©ãŒå¿…è¦ãªã®ã§ï¼ˆ\ketcindy ã§ã¯è¡Œã‚ãªã„）Defvar() ã«ã‚ˆã£ã¦å®šç¾©ã‚’ã—ã¦ã„る。 + 原点，基本ベクトルを，点を作図ã—ã¦æ¬¡ã®ã‚ˆã†ã«ã™ã‚‹ã“ã¨ã‚‚ã§ãる。ã“ã®å ´åˆã¯ Defvar() ã¯ä¸è¦ã€‚ + \begin{verbatim} -　Putpoint3d(["A",[3,3,3],"B",[0,1,0],"C",[0,0,1]],"fix"); -　Embed("1",["cr1","sg1"],"A3d+x*B3d+y*C3d","[x,y]"); + Putpoint3d(["A",[3,3,3],"B",[0,1,0],"C",[0,0,1]],"fix"); + Embed("1",["cr1","sg1"],"A3d+x*B3d+y*C3d","[x,y]"); \end{verbatim} -　　　　　　　　\includegraphics[bb=0 0 954 766 , width=6cm]{Fig3d/embed03.png}\\ +\begin{center} +\includegraphics[bb=0 0 477.02 383.02 , width=6cm]{Fig/embed03.pdf} +\end{center} ã“ã®å ´åˆï¼Œç‚¹B,Cã®åº§æ¨™ãŒãã®ã¾ã¾åŸºæœ¬ãƒ™ã‚¯ãƒˆãƒ«ã¨ãªã£ã¦ã„ã‚‹ãŒï¼ŒåŽŸç‚¹Aã«å¯¾ã—ã¦æ画平é¢ä¸Šã«ã¯B,CãŒãªã„ã®ã§å›³ãŒã‚ã‹ã‚Šã«ãã„。図をã‚ã‹ã‚Šã‚„ã™ãã™ã‚‹ãªã‚‰ã°æ¬¡ã®ã‚ˆã†ã«ã™ã‚‹ã€‚ \begin{verbatim} -　Putpoint3d(["A",[3,3,3],"B",[3,4,3],"C",[3,3,4]],"fix"); -　Embed("1",["cr1","sg1"],"A3d+x*(B3d-A3d)+y*(C3d-A3d)","[x,y]"); + Putpoint3d(["A",[3,3,3],"B",[3,4,3],"C",[3,3,4]],"fix"); + Embed("1",["cr1","sg1"],"A3d+x*(B3d-A3d)+y*(C3d-A3d)","[x,y]"); \end{verbatim} -　ã¾ãŸï¼Œå¹³é¢ã‚’記述ã™ã‚‹ã®ã«ï¼Œå¹³é¢ã®åŽŸç‚¹ã¨æ³•ç·šãƒ™ã‚¯ãƒˆãƒ«ã‚’用ã„㦠Perpplane() を用ã„ã‚‹ã¨ï¼ŒåŸºæœ¬ãƒ™ã‚¯ãƒˆãƒ«ãŒç”Ÿæˆã•ã‚Œã‚‹ã®ã§ã€ã“れを利用ã™ã‚‹ã“ã¨ãŒã§ãる。次ã®ã‚¹ã‚¯ãƒªãƒ—トã§ã¯ï¼ŒSkeletonparadata() を用ã„ã¦é™°ç·šå‡¦ç†ã‚‚ã—ã¦ã„る。 + ã¾ãŸï¼Œå¹³é¢ã‚’記述ã™ã‚‹ã®ã«ï¼Œå¹³é¢ã®åŽŸç‚¹ã¨æ³•ç·šãƒ™ã‚¯ãƒˆãƒ«ã‚’用ã„㦠Perpplane() を用ã„ã‚‹ã¨ï¼ŒåŸºæœ¬ãƒ™ã‚¯ãƒˆãƒ«ãŒç”Ÿæˆã•ã‚Œã‚‹ã®ã§ã€ã“れを利用ã™ã‚‹ã“ã¨ãŒã§ãる。次ã®ã‚¹ã‚¯ãƒªãƒ—トã§ã¯ï¼ŒSkeletonparadata() を用ã„ã¦é™°ç·šå‡¦ç†ã‚‚ã—ã¦ã„る。 \begin{verbatim} -　Xyzax3data("","x=[-5,5]","y=[-8,5]","z=[-5,5]"); -　Putpoint3d(["O",[0,0,0],"P",[1,1,2]],"fix"); -　Perpplane("E-F","P",P3d-O3d,"put"); -　vec1=3*(E3d-P3d); -　vec2=3*(F3d-P3d); -　Putpoint3d(["A",P3d+vec1+vec2],"fix"); -　Putpoint3d(["B",P3d+vec1-vec2],"fix"); -　Putpoint3d(["C",P3d-vec1-vec2],"fix"); -　Putpoint3d(["D",P3d-vec1+vec2],"fix"); -　Spaceline([A,B,C,D,A]); -　Circledata("1",[[0,0],[2,0]],["nodisp"]); -　Listplot("1",[[0,2],[-sqrt(3),-1],[sqrt(3),-1],[0,2]],["nodisp"]); -　Embed("1",["cr1","sg1"],"P3d+x*(E3d-P3d)+y*(F3d-P3d)","[x,y]"); -　Ptsize(3); -　Drawpoint(P); -　Skeletonparadata("1"); + Xyzax3data("","x=[-5,5]","y=[-8,5]","z=[-5,5]"); + Putpoint3d(["O",[0,0,0],"P",[1,1,2]],"fix"); + Perpplane("E-F","P",P3d-O3d,"put"); + vec1=3*(E3d-P3d); + vec2=3*(F3d-P3d); + Putpoint3d(["A",P3d+vec1+vec2],"fix"); + Putpoint3d(["B",P3d+vec1-vec2],"fix"); + Putpoint3d(["C",P3d-vec1-vec2],"fix"); + Putpoint3d(["D",P3d-vec1+vec2],"fix"); + Spaceline("1",[A,B,C,D,A]); + Circledata("1",[[0,0],[2,0]],["nodisp"]); + Listplot("1",[[0,2],[-sqrt(3),-1],[sqrt(3),-1],[0,2]],["nodisp"]); + Embed("1",["cr1","sg1"],"P3d+x*(E3d-P3d)+y*(F3d-P3d)","[x,y]"); + Ptsize(3); + Drawpoint(P); + Skeletonparadata("1"); \end{verbatim} - 　　　　\input{Fig3d/embed02} + \begin{center} \input{Fig/embed02} \end{center} -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} \hypertarget{intersectcrvsf}{} -\item[関数]　Intersectcrvsf(name,PD，å¼) -\item[機能]　曲線ã¨æ›²é¢ã®äº¤ç‚¹ã®åº§æ¨™ã‚’求ã‚ã‚‹ -\item[説明]　PDã¯æ›²ç·šã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã€‚å¼ã¯æ›²é¢ã®å¼ã€‚\\ -　\\ -ã€ä¾‹ã€‘回転放物é¢ã¨ç·šåˆ†ã®äº¤ç‚¹ã®åº§æ¨™ã‚’表示ã™ã‚‹ã€‚曲é¢ã¯è¡¨ç¤ºã•ã‚Œã¦ã„ãªãã¦ã‚‚よã„。 -\begin{verbatim} -Putpoint3d(["A",[0,-3,0],"B",[0,3,2]],"fix"); -Spaceline([A,B]); -fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]","e"]; -println("Intersect="+Intersectcrvsf("1","AB3d",fd)); +\item[関数] Intersectcrvsf(name,PD，å¼) +\item[機能] 曲線ã¨æ›²é¢ã®äº¤ç‚¹ã®åº§æ¨™ã‚’求ã‚ã‚‹ +\item[説明] PDã¯æ›²ç·šã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã€‚å¼ã¯æ›²é¢ã®å¼ã€‚ + + 曲é¢ã¯ï¼ŒSfbdparadata()ã§ãƒ‡ãƒ¼ã‚¿ã‚’作æˆã—，ExeccmdC()ã§è¡¨ç¤ºã—ã¦ãŠã。交点ã®åº§æ¨™ã¯ï¼Œ"intercrvsf"+name ã«ä»£å…¥ã•ã‚Œã‚‹ã€‚コマンドã®å®Ÿè¡Œé †åºã¯æ¬¡ã®ä¾‹ã®ã‚ˆã†ã«ã™ã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘回転放物é¢ã¨ç·šåˆ†ã®äº¤ç‚¹ã®åº§æ¨™ã‚’表示ã™ã‚‹ã€‚ +\begin{verbatim} + Putpoint3d(["A",[0,-3,0],"B",[0,3,2]],"fix"); + Spaceline("1",[A,B]); + fd=[ + "z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)", + "R=[0,2]","T=[0,2*pi]","e" + ]; + Startsurf(); + Sfbdparadata("1",fd); + Intersectcrvsf("1","sl3d1",fd); + ExeccmdC("1",[""]); + println("Intersect="+intercrvsf1); + Drawpoint3d(intercrvsf1); \end{verbatim} 実行ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«\\ -　　\verb|Intersect=[[0,-1.91,0.36,1.18],[0,1.57,1.52,1.76]] | -ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ + \verb|Intersect=[[0,1.57,1.52],[0,-1.91,0.36]] | +ã¨è¡¨ç¤ºã•ã‚Œï¼Œç”»é¢ã«ã¯ç·‘ã§äº¤ç‚¹ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚。 + +\vspace{\baselineskip} \hypertarget{intersectsgpL}{} -\item[関数]　IntersectsgpL(点å，線分，é¢ï¼Œæ画方法) -\item[機能]　空間ã®ç·šåˆ†ã¨å¹³é¢ã®äº¤ç‚¹ã‚’作図ã™ã‚‹ -\item[説明]　引数ã®ç·šåˆ†ã¯ç·šåˆ†ã®ç«¯ç‚¹ã‚’ "A-B" ã®å½¢ã‚‚ã—ãã¯åº§æ¨™ã®ãƒªã‚¹ãƒˆå½¢ã§ä¸Žãˆã‚‹ã€‚\\ -　引数ã®é¢ã¯ï¼Œé¢å†…ã®ï¼“点を "C-D-E" ã®å½¢ã‚‚ã—ãã¯åº§æ¨™ã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚\\ -　æ画方法ã¯ï¼Œ"put" ã¾ãŸã¯ "draw" ã§ï¼Œæ画方法を指定ã—ãªã„å ´åˆã¯ "draw" ã¨åŒã˜ã€‚"draw"ã§ã¯äº¤ç‚¹ãŒç·‘ã®ç‚¹ã§è¡¨ç¤ºã•ã‚Œã‚‹ã ã‘ã§ï¼Œå¹¾ä½•ç‚¹ã¯ã§ããªã„。"put" ã§ã¯å¹¾ä½•ç‚¹ã‚’作る。\\ -　\\ +\item[関数] IntersectsgpL(点å，線分，é¢ï¼Œæ画方法) +\item[機能] 空間ã®ç·šåˆ†ã¨å¹³é¢ã®äº¤ç‚¹ã‚’作図ã™ã‚‹ +\item[説明] 引数ã®ç·šåˆ†ã¯ç·šåˆ†ã®ç«¯ç‚¹ã‚’ "A-B" ã®å½¢ã‚‚ã—ãã¯ç©ºé–“座標ã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚ + + 引数ã®é¢ã¯ï¼Œé¢å†…ã®3点を "C-D-E" ã®å½¢ã‚‚ã—ãã¯ç©ºé–“座標ã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚ + + æ画方法ã¯ï¼Œ"put" ã¾ãŸã¯ "draw" ã§ï¼Œæ画方法を指定ã—ãªã„å ´åˆã¯ "draw" ã¨åŒã˜ã€‚"draw"ã§ã¯äº¤ç‚¹ãŒç·‘ã®ç‚¹ã§è¡¨ç¤ºã•ã‚Œã‚‹ã ã‘ã§ï¼Œå¹¾ä½•ç‚¹ã¯ã§ããªã„。"put" ã§ã¯å¹¾ä½•ç‚¹ã‚’作る。 + +\vspace{\baselineskip} ã€ä¾‹ã€‘座標ã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹è¨˜è¿°ä¾‹\\ -　\verb|IntersectsgpL("P",[p1,p2],[p3,p4,p5],"draw");| \\ -　\\ -ã€ä¾‹ã€‘立方体を平é¢ã§åˆ‡ã£ãŸå›³ã‚’æã。\\ -　 ã„ã‚ã„ã‚ãªæ‰‹é †ãŒè€ƒãˆã‚‰ã‚Œã‚‹ãŒï¼Œã“ã“ã§ã¯æ¬¡ã®æ‰‹é †ã§æã。\\ - (1) 立方体ã®é ‚点をã¨ã‚‹ã€‚１辺ã®é•·ã•ã‚’Hnã¨ã™ã‚‹ã€‚\\ -　　ã“ã“ã§ã¯è»¸ä¸Šã®ç‚¹ã¯Putaxes3d()ã§ã¨ã‚‹ã€‚\\ -(2) 切æ–é¢ã‚’決ã‚る点E,F,Gを辺上ã®è‡ªç”±ç‚¹ã¨ã—ã¦Putonseg3d()ã§ã¨ã‚‹ã€‚\\ -(3) E,F,Gを通る平é¢ã¨ï¼Œè¾ºAC,DYã¨ã®äº¤ç‚¹ã‚’ã¨ã‚Šï¼ŒM,Nã¨ã™ã‚‹ã€‚\\ + \verb|IntersectsgpL("P",[p1,p2],[p3,p4,p5],"draw");| + +\vspace{\baselineskip} +ã€ä¾‹ã€‘立方体を平é¢ã§åˆ‡ã£ãŸå›³ã‚’æã。 + + ã„ã‚ã„ã‚ãªæ‰‹é †ãŒè€ƒãˆã‚‰ã‚Œã‚‹ãŒï¼Œã“ã“ã§ã¯æ¬¡ã®æ‰‹é †ã§æã。 + + (1) 立方体ã®é ‚点をã¨ã‚‹ã€‚１辺ã®é•·ã•ã‚’Hnã¨ã™ã‚‹ã€‚ + + ã“ã“ã§ã¯è»¸ä¸Šã®ç‚¹ã¯Putaxes3d()ã§ã¨ã‚‹ã€‚ + +(2) 切æ–é¢ã‚’決ã‚る点E,F,Gを辺上ã®è‡ªç”±ç‚¹ã¨ã—ã¦Putonseg3d()ã§ã¨ã‚‹ã€‚ + +(3) E,F,Gを通る平é¢ã¨ï¼Œè¾ºAC,DYã¨ã®äº¤ç‚¹ã‚’ã¨ã‚Šï¼ŒM,Nã¨ã™ã‚‹ã€‚ + (4) 全体を多é¢ä½“ã¨ã—ã¦é¢ãƒ‡ãƒ¼ã‚¿ã‚’作ã£ã¦æç”»ã™ã‚‹ã€‚ \begin{verbatim} -　Hn=3; -　Putaxes3d(Hn); -　Putpoint3d("A",[Hn,Hn,0],"fix"); -　Putpoint3d("B",[Hn,0,Hn],"fix"); -　Putpoint3d("C",[Hn,Hn,Hn],"fix"); -　Putpoint3d("D",[0,Hn,Hn],"fix"); -　Putonseg3d("E",X,B); -　Putonseg3d("F",Z,B); -　Putonseg3d("G",Z,D); -　IntersectsgpL("M","A-C","E-F-G","put"); -　IntersectsgpL("N","D-Y","E-F-G","put"); -　phd=Concatobj([[O,X,A,Y],[X,A,M,E],[A,Y,N,M],[Y,N,G,Z,O], -　　　[O,Z,F,E,X],[Z,F,G],[E,M,N,G,F]]); -　VertexEdgeFace("1",phd,["Edg=nogeo"]); -　Nohiddenbyfaces("1","phf3d1"); -\end{verbatim} -Cinderellaã®æç”»é¢ã¯ã¤ãŽã®ã‚ˆã†ã«ãªã‚‹ã€‚点E,F,Gをドラッグã—ã¦ï¼Œé©å½“ãªä½ç½®ã®æ–é¢ã«ã§ãる。ãŸã ã—，M,Nã¯è¾ºä¸Šã«ã‚ã‚‹ã“ã¨ãŒæ¡ä»¶ã§ã‚る。 -\\ -　\\ -\includegraphics[bb=0 0 1426 654 , width=12cm]{Fig3d/IntersectsgpL0.png}\\ + Hn=3; + Putaxes3d(Hn); + Putpoint3d("A",[Hn,Hn,0],"fix"); + Putpoint3d("B",[Hn,0,Hn],"fix"); + Putpoint3d("C",[Hn,Hn,Hn],"fix"); + Putpoint3d("D",[0,Hn,Hn],"fix"); + Putonseg3d("E",X,B); + Putonseg3d("F",Z,B); + Putonseg3d("G",Z,D); + IntersectsgpL("M","A-C","E-F-G","put"); + IntersectsgpL("N","D-Y","E-F-G","put"); + phd=Concatobj([[O,X,A,Y],[X,A,M,E],[A,Y,N,M],[Y,N,G,Z,O], + [O,Z,F,E,X],[Z,F,G],[E,M,N,G,F]]); + VertexEdgeFace("1",phd,["Edg=nogeo"]); + Nohiddenbyfaces("1","phf3d1"); +\end{verbatim} +Cinderellaã®æç”»é¢ã¯ã¤ãŽã®ã‚ˆã†ã«ãªã‚‹ã€‚点E,F,Gをドラッグã—ã¦ï¼Œé©å½“ãªä½ç½®ã®æ–é¢ã«ã™ã‚‹ã€‚ãŸã ã—，M,Nã¯è¾ºä¸Šã«ã‚ã‚‹ã“ã¨ãŒæ¡ä»¶ã§ã‚る。 + +\vspace{\baselineskip} +\includegraphics[bb=0 0 713.04 327.02 , width=12cm]{Fig/IntersectsgpL0.pdf} + ã§ããŸå›³ã¯ä¸‹å›³å·¦ã€‚ã“ã‚Œã«ï¼Œæ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—ãƒˆã‚’è¿½åŠ ã™ã‚Œã°ï¼Œæ–é¢ä¸Šæ–¹ã®ç«‹æ–¹ä½“ã®å„辺も点線ã§æã‹ã‚Œã‚‹ã€‚（下図å³ï¼‰ \begin{verbatim} -　Spaceline([E,B,F],["do"]); -　Spaceline([B,C,M],["do"]); -　Spaceline([C,D,N],["do"]); -　Spaceline([D,G],["do"]); + Spaceline("1",[E,B,F],["do"]); + Spaceline("2",[B,C,M],["do"]); + Spaceline("3",[C,D,N],["do"]); + Spaceline("4",[D,G],["do"]); \end{verbatim} -\input{Fig3d/IntersectsgpL1}　　　\input{Fig3d/IntersectsgpL2} +\begin{center} \input{Fig/IntersectsgpL1} \input{Fig/IntersectsgpL2} \end{center} -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} \hypertarget{invparapt}{} -\item[関数]　Invparapt(座標，PD) -\item[機能]　æç”»é¢ä¸Šã®åº§æ¨™ã«å¯¾å¿œã™ã‚‹æ›²ç·šä¸Šã®ç‚¹ã®åº§æ¨™ã‚’返㙠-\item[説明]　Cinderellaã®æç”»é¢ä¸Šã®åº§æ¨™ã‚’与ãˆã¦ï¼Œãã‚Œã«å¯¾å¿œã™ã‚‹æ›²ç·šä¸Šã®ï¼“次元座標を返ã™ã€‚ +\item[関数] Invparapt(座標，PD) +\item[機能] æç”»é¢ä¸Šã®åº§æ¨™ã«å¯¾å¿œã™ã‚‹æ›²ç·šä¸Šã®ç‚¹ã®åº§æ¨™ã‚’返㙠+\item[説明] Cinderellaã®æç”»é¢ä¸Šã®åº§æ¨™ã‚’与ãˆã¦ï¼Œãã‚Œã«å¯¾å¿œã™ã‚‹æ›²ç·šä¸Šã®3次元座標を返ã™ã€‚ \\ -空間内ã®æ›²ç·šã‚’作図ã™ã‚‹ã¨ï¼Œæ›²ç·šã®ç©ºé–“内ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¨ã¨ã‚‚ã«ï¼Œæç”»é¢ä¸Šã«æããŸã‚ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚‚作られる。ã“れを利用ã™ã‚‹ã¨ï¼Œæç”»é¢ä¸Šã®ä½ç½®ã‹ã‚‰æ›²ç·šä¸Šã®åº§æ¨™ã‚’求ã‚ã‚‹ã“ã¨ãŒã§ãる。\\ -　\\ -ã€ä¾‹ã€‘螺旋ã¨ç·šåˆ†ã‚’æã„ãŸã¨ã，æç”»é¢ä¸Šã§ã®äº¤ç‚¹ï¼ˆç©ºé–“内ã®äº¤ç‚¹ã§ã¯ãªã„）ã«å¯¾å¿œã™ã‚‹èžºæ—‹ä¸Šã®ç‚¹ã®åº§æ¨™ã‚’求ã‚部分曲線をæã。\\ +空間内ã®æ›²ç·šã‚’作図ã™ã‚‹ã¨ï¼Œæ›²ç·šã®ç©ºé–“内ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¨ã¨ã‚‚ã«ï¼Œæç”»é¢ä¸Šã«æããŸã‚ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚‚作られる。ã“れを利用ã™ã‚‹ã¨ï¼Œæç”»é¢ä¸Šã®ä½ç½®ã‹ã‚‰æ›²ç·šä¸Šã®åº§æ¨™ã‚’求ã‚ã‚‹ã“ã¨ãŒã§ãる。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘螺旋ã¨ç·šåˆ†ã‚’æã„ãŸã¨ã，æç”»é¢ä¸Šã§ã®äº¤ç‚¹ï¼ˆç©ºé–“内ã®äº¤ç‚¹ã§ã¯ãªã„）ã«å¯¾å¿œã™ã‚‹èžºæ—‹ä¸Šã®ç‚¹ã®åº§æ¨™ã‚’求ã‚部分曲線をæã。 + \begin{verbatim} -　Spaceline("1",[[-1,-1,-1],[1,2,3]]); -　Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["do"]); -　tmp=Intersectcrvs("sl2d1","sc2d1"); -　p1=Invparapt(tmp_1,"sc3d1"); -　p2=Invparapt(tmp_2,"sc3d1"); -　Partcrv3d("1",p1,p2,"sc3d1"); + Spaceline("1",[[-1,-1,-1],[1,2,3]]); + Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["do"]); + tmp=Intersectcrvs("sl2d1","sc2d1"); + p1=Invparapt(tmp_1,"sc3d1"); + p2=Invparapt(tmp_2,"sc3d1"); + Partcrv3d("1",p1,p2,"sc3d1"); \end{verbatim} -　　　　　　　　\input{Fig3d/invparapt}\\ -ã“ã“ã§ï¼Œsl2d1,sc2d1 ã¯ç·šåˆ†ã¨èžºæ—‹ã®æç”»é¢ä¸Šã§ã®ï¼ˆå¹³é¢ã®ï¼‰ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§ã‚る。Intersectcrvs() ã§å¹³é¢ä¸Šã®äº¤ç‚¹ã®åº§æ¨™ï¼ˆè¤‡æ•°ã‚ã‚‹ã®ã§ãƒªã‚¹ãƒˆãŒè¿”る）を求ã‚，Invparapt() ã§å¯¾å¿œã™ã‚‹èžºæ—‹ä¸Šã®ç‚¹ã®åº§æ¨™ã‚’求ã‚ã¦éƒ¨åˆ†æ›²ç·šã‚’æã„ã¦ã„る。実際ã«äº¤ã‚る点ã§ã®éƒ¨åˆ†æ›²ç·šã§ã¯ãªã„ã“ã¨ã«æ³¨æ„。\\ -　\\ + \begin{center} \input{Fig/invparapt} \end{center} + +ã“ã“ã§ï¼Œsl2d1,sc2d1 ã¯ç·šåˆ†ã¨èžºæ—‹ã®æç”»é¢ä¸Šã§ã®ï¼ˆå¹³é¢ã®ï¼‰ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§ã‚る。Intersectcrvs() ã§å¹³é¢ä¸Šã®äº¤ç‚¹ã®åº§æ¨™ï¼ˆè¤‡æ•°ã‚ã‚‹ã®ã§ãƒªã‚¹ãƒˆãŒè¿”る）を求ã‚，Invparapt() ã§å¯¾å¿œã™ã‚‹èžºæ—‹ä¸Šã®ç‚¹ã®åº§æ¨™ã‚’求ã‚ã¦éƒ¨åˆ†æ›²ç·šã‚’æã„ã¦ã„る。実際ã«äº¤ã‚る点ã§ã®éƒ¨åˆ†æ›²ç·šã§ã¯ãªã„ã“ã¨ã«æ³¨æ„。 +\vspace{\baselineskip} \hypertarget{mkbezierptcrv3d}{} -\item[関数]　Mkbezierptcrv3d(点リスト) -\item[機能]　制御点を自動的ã«ã¨ã‚‹ç©ºé–“ベジェ曲線 -\item[説明]　リストã§ä¸ŽãˆãŸç‚¹ã«å¯¾ã—，制御点を自動的ã«ç”Ÿæˆã—ã¦ãƒ™ã‚¸ã‚§æ›²ç·šã‚’æã。\\ -　制御点ã¯ï¼Œï¼’ã¤ã®ç‚¹ã«å¯¾ã—ã¦ï¼Œãã®ç‚¹ã‚’端点ã¨ã™ã‚‹ç·šåˆ†ä¸Šã«ï¼’ã¤ä½œã‚‰ã‚Œã‚‹ã€‚ã“れをé©å®œç§»å‹•ã—ã¦ä»»æ„ã®æ›²ç·šã«ã™ã‚‹ã“ã¨ãŒã§ãる。\hyperlink{bezier3d}{空間ベジェ曲線 Bezier3d()} ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ -　\\ +\item[関数] Mkbezierptcrv3d(点リスト) +\item[機能] 制御点を自動的ã«ã¨ã‚‹ç©ºé–“ベジェ曲線 +\item[説明] リストã§ä¸ŽãˆãŸç‚¹ã«å¯¾ã—，制御点を自動的ã«ç”Ÿæˆã—ã¦ãƒ™ã‚¸ã‚§æ›²ç·šã‚’æã。 + + 制御点ã¯ï¼Œ2ã¤ã®ç‚¹ã«å¯¾ã—ã¦ï¼Œãã®ç‚¹ã‚’端点ã¨ã™ã‚‹ç·šåˆ†ä¸Šã«2ã¤ä½œã‚‰ã‚Œã‚‹ã€‚ã“れをé©å®œç§»å‹•ã—ã¦ä»»æ„ã®æ›²ç·šã«ã™ã‚‹ã“ã¨ãŒã§ãる。\hyperlink{bezier3d}{空間ベジェ曲線 Bezier3d()} ã‚’å‚ç…§ã®ã“ã¨ã€‚ + +\vspace{\baselineskip} ã€ä¾‹ã€‘\verb|Mkbezierptcrv3d(["A","B","C","D"]);|\\ -　　線分AB上ã«ï¼’点a1p,a2p，線分BC上ã«ï¼’点a2p,a2q，線分CD上ã«ï¼’点a3p,a3qãŒã§ãる。\\ + 線分AB上ã«2点a1p,a2p，線分BC上ã«2点a2p,a2q，線分CD上ã«2点a3p,a3qãŒã§ãる。 + -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} \hypertarget{nohiddenbyfaces}{} -\item[関数]　Nohiddenbyfaces(name,PD1,PD2,option1,option2) -\item[機能]　é¢ã«å¯¾ã—曲線を陰線処ç†ã™ã‚‹ -\item[説明]　PD2ã§ä¸Žãˆã‚‰ã‚ŒãŸé¢ã«å¯¾ã—，曲線PD1ã®é¢ã«éš ã‚Œã¦ã„る部分を陰線処ç†ã™ã‚‹ã€‚\\ -引数PD1ã‚’çœç•¥ã™ã‚‹ã¨ã™ã¹ã¦ã®æ›²ç·šãŒå¯¾è±¡ã¨ãªã‚‹ã€‚陰線処ç†ã•ã‚ŒãŸç·šã¯åˆæœŸè¨å®šã§ã¯ç‚¹ç·šã§è¡¨ã•ã‚Œã‚‹ã€‚ã“ã®ç·šç¨®ã¯option2ã§å¤‰æ›´ã§ãる。ãŸã¨ãˆã°ï¼Œ["da"] ã¨ã™ã‚‹ã¨ç ´ç·šã«ãªã‚‹ã€‚option1ã¯æ›²ç·šå…¨ä½“ã®optionã§ã‚ã‚‹ã®ã§ï¼Œoption2 ã ã‘を指定ã™ã‚‹å ´åˆã¯ï¼Œoption1 ã¨ã—ã¦ç©ºãƒªã‚¹ãƒˆ[ ] ãŒå¿…è¦ã§ã‚る。\\ -　\\ +\item[関数] Nohiddenbyfaces(name,PD1,PD2,option1,option2) +\item[機能] é¢ã«å¯¾ã—曲線を陰線処ç†ã™ã‚‹ +\item[説明] PD2ã§ä¸Žãˆã‚‰ã‚ŒãŸé¢ã«å¯¾ã—，曲線PD1ã®é¢ã«éš ã‚Œã¦ã„る部分を陰線処ç†ã™ã‚‹ã€‚ + +引数PD1ã‚’çœç•¥ã™ã‚‹ã¨ã™ã¹ã¦ã®æ›²ç·šãŒå¯¾è±¡ã¨ãªã‚‹ã€‚陰線処ç†ã•ã‚ŒãŸç·šã¯åˆæœŸè¨å®šã§ã¯ç‚¹ç·šã§è¡¨ã•ã‚Œã‚‹ã€‚ã“ã®ç·šç¨®ã¯option2ã§å¤‰æ›´ã§ãる。ãŸã¨ãˆã°ï¼Œ["da"] ã¨ã™ã‚‹ã¨ç ´ç·šã«ãªã‚‹ã€‚option1ã¯æ›²ç·šå…¨ä½“ã®optionã§ã‚ã‚‹ã®ã§ï¼Œoption2 ã ã‘を指定ã™ã‚‹å ´åˆã¯ï¼Œoption1 ã¨ã—ã¦ç©ºãƒªã‚¹ãƒˆ[ ] ãŒå¿…è¦ã§ã‚る。 +option2ã§ã¯ï¼Œ"Eps=" ã§ï¼Œé™°ç·šå‡¦ç†æ™‚ã®è¨±å®¹é™ç•Œã‚’è¨å®šã§ãる。陰線処ç†ãŒã†ã¾ãã„ã‹ãªã„ã¨ãã¯ï¼Œã“ã®å€¤ã‚’ \verb|Eps=10^(-4)| ã®ã‚ˆã†ã«å¤‰ãˆã¦ã¿ã‚‹ã¨ã‚ˆã„。åˆæœŸè¨å®šã¯ \verb|Eps=10^(-2)|。 + +\vspace{\baselineskip} ã€ä¾‹ã€‘座標平é¢ä¸Šã«æ£å››é¢ä½“ã‚’æã，å„軸ã¨æ£å››é¢ä½“ã®è¾ºã‚’陰線処ç†ã™ã‚‹ã€‚（下図左） \begin{verbatim} Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,4]"); Putpoint3d("A",2*[-1,-1/sqrt(3),0],"fix"); Putpoint3d("B",2*[1,-1/sqrt(3),0],"fix"); Putpoint3d("C",2*[0,sqrt(3)-1/sqrt(3),0],"fix"); -Putpoint3d("D",2*[0,0,sqrt(3)],"fix"); +Putpoint3d("D",2*[0,0,2*sqrt(6)/3],"fix"); phd=Concatobj([[A,B,C],[A,B,D],[A,C,D],[B,C,D]]); VertexEdgeFace("1",phd,["Edg=nogeo"]); Nohiddenbyfaces("1","phf3d1"); \end{verbatim} -　\verb|VertexEdgeFace("1",phd,["Edg=nogeo"]);| ã«ã‚ˆã£ã¦ï¼Œè¾ºï¼Œé ‚点，é¢ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ãŒä½œã‚‰ã‚Œã‚‹ã€‚\verb|phf3d1| ã¯ï¼Œé¢ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§ã‚る。\\ -　ã“ã“ã§ï¼Œ\verb|Nohiddenbyfaces("1","phe3d1","phf3d1",["dr,2"],["da"]); | ã¨ã™ã‚‹ã¨ï¼Œåº§æ¨™è»¸ã¯é™°ç·šå‡¦ç†ã•ã‚Œãšï¼Œæ£å››é¢ä½“ã®è¾ºï¼ˆ\verb|phe3d1|）ã ã‘ãŒé™°ç·šå‡¦ç†ã•ã‚Œã¦ç ´ç·šã§æã‹ã‚Œã‚‹ã€‚å››é¢ä½“ã¯å¤ªãæã‹ã‚Œã‚‹ã€‚（下図å³ï¼‰\\ -　\\ -　\input{Fig3d/nohiddenbyfaces1}　　　\input{Fig3d/nohiddenbyfaces2}\\ -åŒæ§˜ã«ï¼Œ\\ -　\verb|Nohiddenbyfaces("1","ax3d","phf3d1",[],["da"]);|\\ -ã¨ã™ã‚Œã°ï¼Œåº§æ¨™è»¸ã ã‘ãŒé™°ç·šå‡¦ç†ã•ã‚Œã¦ç ´ç·šã§æã‹ã‚Œã‚‹ã€‚\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + \verb|VertexEdgeFace("1",phd,["Edg=nogeo"]);| ã«ã‚ˆã£ã¦ï¼Œè¾ºï¼Œé ‚点，é¢ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ãŒä½œã‚‰ã‚Œã‚‹ã€‚\verb|phf3d1| ã¯ï¼Œé¢ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§ã‚る。 + +ã“ã“ã§ï¼Œ\verb|Nohiddenbyfaces("1","phe3d1","phf3d1",["dr,2"],["da"]); | ã¨ã™ã‚‹ã¨ï¼Œåº§æ¨™è»¸ã¯é™°ç·šå‡¦ç†ã•ã‚Œãšï¼Œæ£å››é¢ä½“ã®è¾ºï¼ˆ\verb|phe3d1|）ã ã‘ãŒé™°ç·šå‡¦ç†ã•ã‚Œã¦ç ´ç·šã§æã‹ã‚Œã‚‹ã€‚å››é¢ä½“ã¯å¤ªãæã‹ã‚Œã‚‹ã€‚（下図å³ï¼‰ + +\vspace{\baselineskip} + \begin{center} \input{Fig/nohiddenbyfaces1} \input{Fig/nohiddenbyfaces2} \end{center} +åŒæ§˜ã«ï¼Œ + + \verb|Nohiddenbyfaces("1","ax3d","phf3d1",[],["da"]);| + +ã¨ã™ã‚Œã°ï¼Œåº§æ¨™è»¸ã ã‘ãŒé™°ç·šå‡¦ç†ã•ã‚Œã¦ç ´ç·šã§æã‹ã‚Œã‚‹ã€‚ +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{\baselineskip} \hypertarget{parapt}{} -\item[関数]　Parapt(座標) -\item[機能]　点ã®æŠ•å½±é¢ã§ã®åº§æ¨™ -\item[説明]　引数ã®ç©ºé–“座標ã«å¯¾å¿œã™ã‚‹Cinderellaã®æç”»é¢ã®åº§æ¨™ã‚’è¿”ã™ã€‚\\ -　\\ -ã€ä¾‹ã€‘\verb|Parapt([2,1,5]);| ã«ã‚ˆã‚Šï¼Œç‚¹(2,1,5) ãŒè¡¨ç¤ºã•ã‚Œã¦ã„ã‚‹æç”»é¢ã®åº§æ¨™ï¼ŒãŸã¨ãˆã° [-0.52,3.27] ãŒè¿”ã•ã‚Œã‚‹ã€‚\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +\item[関数] Parapt(座標) +\item[機能] 点ã®æŠ•å½±é¢ã§ã®åº§æ¨™ +\item[説明] 引数ã®ç©ºé–“座標ã«å¯¾å¿œã™ã‚‹Cinderellaã®æç”»é¢ã®åº§æ¨™ã‚’è¿”ã™ã€‚ -\hypertarget{perpplane}{} -\item[関数]　Perpplane(点å,点,ベクトル，option) -\item[機能]　点を通り線分ã«åž‚ç›´ãªå¹³é¢ä¸Šã«åŸºæº–点を２ã¤ã¨ã‚‹ -\item[説明]　引数ã®ç‚¹åã¯ï¼Œä½œæˆã™ã‚‹ï¼’点㧠"A-B" ã®å½¢\\ -　第２引数ã¯é€šã‚‹ç‚¹ã®å称ã¾ãŸã¯åº§æ¨™\\ -　第３引数ã¯æ³•ç·šãƒ™ã‚¯ãƒˆãƒ«\\ -　option㯠"put" ã§ï¼Œï¼’ã¤ã®å¹¾ä½•ç‚¹ã‚’作図ã™ã‚‹ã€‚optionãŒãªã„å ´åˆã¯å¹¾ä½•ç‚¹ã¯ä½œã‚‰ãšï¼Œç„¡åã®ç‚¹ã®ã¿ã‚’表示ã™ã‚‹ã€‚put以外ã®æ–‡å—列を書ã„ãŸã¨ãã¯ç„¡åŠ¹ãªå‘½ä»¤ã¨ã—，何も作æˆã•ã‚Œãªã„。\\ -　記述例を示ã™ã¨\\ -　　\verb|Perpplane("A-B","P",[1,1,1],"put");|\\ -　　　　点Pを通り，法線ベクトル(1,1,1)ã«åž‚ç›´ãªå¹³é¢ä¸Šã«ç‚¹A,Bã‚’ã¨ã‚‹ã€‚\\ -　　\verb|Perpplane("A-B","P",P3d-O3d);|\\ -　　　　点Pを通り，線分OPã«åž‚ç›´ãªå¹³é¢ä¸Šã«ç‚¹A,Bã‚’ã¨ã‚‹ã€‚\\ -　ã“れらã«ãŠã„ã¦ï¼ŒPAã¨PBã¯åž‚ç›´ã§ï¼ŒPA=PB=1 ã¨ãªã‚‹ã€‚\\ -　\\ -ã€ä¾‹ã€‘ベクトル $\vec{p}=(1,1,1)$ ã«åž‚ç›´ã§ç‚¹$(1,1,1)$を通る平é¢ã‚’æã。 -\begin{verbatim} -　Putaxes3d(2); -　Putpoint3d(["P",[1,1,1]],"fix"); -　Ptseg3data(); -　Perpplane("E-F","P",P3d-O3d,"put"); -　vec1=2*(E3d-P3d); -　vec2=2*(F3d-P3d); -　Putpoint3d(["A",P3d+vec1+vec2],"fix"); -　Putpoint3d(["B",P3d+vec1-vec2],"fix"); -　Putpoint3d(["C",P3d-vec1-vec2],"fix"); -　Putpoint3d(["D",P3d-vec1+vec2],"fix"); -　Spaceline([A,B,C,D,A]); -　Letter([P,"w","P",A,"ne","A",B,"e","B",C,"ws","C",D,"nw","D",]); -　Skeletonparadata("1"); -\end{verbatim} -　　　　　　　　 \input{Fig3d/perpplane} -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} -　\\ +\vspace{\baselineskip} +ã€ä¾‹ã€‘\verb|Parapt([2,1,5]);| ã«ã‚ˆã‚Šï¼Œç‚¹(2,1,5) ãŒè¡¨ç¤ºã•ã‚Œã¦ã„ã‚‹æç”»é¢ã®åº§æ¨™ï¼ŒãŸã¨ãˆã° [-0.52,3.27] ãŒè¿”ã•ã‚Œã‚‹ã€‚ +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\hypertarget{perppt}{} -\item[関数]　Perppt(点å，点，点リスト,option) -\item[機能]　平é¢ã«ä¸‹ã‚ã—ãŸåž‚ç·šã®è¶³ã‚’求ã‚ã‚‹ -\item[説明]　第２引数ã®ç‚¹ã‹ã‚‰ï¼Œç¬¬ï¼“引数ã®ç‚¹ãƒªã‚¹ãƒˆã§æ±ºã¾ã‚‹å¹³é¢ã«ä¸‹ã—ãŸåž‚ç·šã®è¶³ã‚’，第１引数ã®åå‰ã®ç‚¹ã¨ã™ã‚‹ã€‚\\ -オプションã¯æ¬¡ã®é€šã‚Šã€‚デフォルト㯠"draw"\\ -　draw：点を打ã¤ã€‚幾何点ã¯ä½œã‚‰ãªã„\\ -　put ：幾何点を作る\\ -　none：計算ã ã‘è¡Œã„，点ã¯ä½œå›³ã—ãªã„。\\ -　\\ -ã€ä¾‹ã€‘原点ã‹ã‚‰ç‚¹ABCを通る平é¢ã«ä¸‹ã—ãŸåž‚ç·šã®è¶³Hã®åº§æ¨™ã‚’求ã‚る。\\ -　　\verb|Perppt("H","O","A-B-C","none");| 表示ã¯ã•ã‚Œãªã„。\\ -　　\verb|Perppt("N","O","A-B-C");| Ｈã®ä½ç½®ã«ç·‘色ã®ç‚¹ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -　　\verb|Perppt("N","O","A-B-C","put");| 幾何点HãŒä½œå›³ã•ã‚Œã‚‹ã€‚\\ -　ã„ãšã‚Œã®å ´åˆã‚‚，Hã®åº§æ¨™ã¯å¤‰æ•°H3d ã«ä»£å…¥ã•ã‚Œã‚‹\\ -　\\ -作図例 -\begin{verbatim} -　Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,4]"); -　Putpoint3d("O",[0,0,0],"fix"); -　Putpoint3d("A",[3,0,0],"fix"); -　Putpoint3d("B",[0,3,0],"fix"); -　Putpoint3d("C",[0,0,3],"fix"); -　Perppt("H","O","A-B-C","put"); -　Spaceline([A,B,C,A]); -　Spaceline([O,H]); -　Letter([A,"nw","A",B,"ne","B",C,"ne","C",O,"nw","O",H,"ne","H"]); -\end{verbatim} -　\\ -　　　　　\input{Fig3d/perppt} -　\\ +\vspace{\baselineskip} +\hypertarget{perpplane}{} +\item[関数] Perpplane(点å,点,ベクトル，option) +\item[機能] 点を通り線分ã«åž‚ç›´ãªå¹³é¢ä¸Šã«åŸºæº–点を2ã¤ã¨ã‚‹ +\item[説明] 引数ã®ç‚¹åã¯ï¼Œä½œæˆã™ã‚‹2点㧠"A-B" ã®å½¢ -\hypertarget{partcrv3d}{} -\item[関数]　Partcrv3d(name，始点，終点，PD) -\item[機能]　部分曲線ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’作æˆã™ã‚‹ -\item[説明]　曲線PDã«ãŠã„ã¦ï¼Œå§‹ç‚¹ã‹ã‚‰çµ‚点ã¾ã§ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’作æˆã™ã‚‹ã€‚\\ -始点ã¨çµ‚点ã¯ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ç•ªå·ã‚‚ã—ãã¯æ›²ç·šä¸Šã«ã¨ã£ãŸç‚¹ã®è˜åˆ¥åã§ç¤ºã™ã€‚\\ - -ã€ä¾‹ã€‘螺旋をæã，Cã‹ã‚‰Dã¾ã§ã®éƒ¨åˆ†ã‚’太ãã™ã‚‹ã€‚PutonCurve3d() ã§èžºæ—‹ä¸Šã«ç‚¹C,Dã‚’ã¨ã‚Šï¼Œãƒ‰ãƒ©ãƒƒã‚°ã—ã¦é©å½“ãªä½ç½®ã«ç§»å‹•ã™ã‚‹ã€‚ -\begin{verbatim} -　Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,4]"); -　Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=100"]); -　PutonCurve3d("C","sc3d1"); -　PutonCurve3d("D","sc3d1"); -　Partcrv3d("1",C,D,"sc3d1",["dr,3"]); -　Letter([C,"n2","C",D,"n2","D"]); -\end{verbatim} -　ã“ã“ã§ï¼Œ\verb|"sc3d1"| ã¯ï¼Œèžºæ—‹ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼Œ\verb|"part3d1"| ã¯ï¼Œéƒ¨åˆ†æ›²ç·šã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§ã‚る。\\ -　　　　　　　\input{Fig3d/partcrv3d1}\\ -　\\ -ã€ä¾‹ã€‘稲妻状ã®èžºæ—‹ã‚’点線ã§æã，ãã®ä¸€éƒ¨ã‚’実線ã«ã™ã‚‹ã€‚ä½ç½®ã¯ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ç•ªå·ã§ç¤ºã™ã€‚å°æ•°ã«ã™ã‚‹ã¨æ›²ç·šã‚’分割ã—ã¦ã„る線分ã®é€”ä¸ã®ä½ç½®ã«ãªã‚‹ã€‚ -\begin{verbatim} -Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=10","do"]); -Partcrv3d("1",3.3,8.5,"sc3d1"); -\end{verbatim} -　　　　　　　\input{Fig3d/partcrv3d2}\\ +第2引数ã¯é€šã‚‹ç‚¹ã®å称ã¾ãŸã¯åº§æ¨™ + +第3引数ã¯æ³•ç·šãƒ™ã‚¯ãƒˆãƒ« + +option㯠"put" ã§ï¼Œ2ã¤ã®å¹¾ä½•ç‚¹ã‚’作図ã™ã‚‹ã€‚optionãŒãªã„å ´åˆã¯å¹¾ä½•ç‚¹ã¯ä½œã‚‰ãšï¼Œç„¡åã®ç‚¹ã®ã¿ã‚’表示ã™ã‚‹ã€‚put以外ã®æ–‡å—列を書ã„ãŸã¨ãã¯ç„¡åŠ¹ãªå‘½ä»¤ã¨ã—，何も作æˆã•ã‚Œãªã„。 + +記述例を示ã™ã¨ + + \verb|Perpplane("A-B","P",[1,1,1],"put");| + +点Pを通り，法線ベクトル(1,1,1)ã«åž‚ç›´ãªå¹³é¢ä¸Šã«ç‚¹A,Bã‚’ã¨ã‚‹ã€‚ -\hypertarget{phparadata}{} -\item[関数]　Phparadata(name,name2,options) -\item[機能]　多é¢ä½“を陰線処ç†ã—ã¦æã -\item[説明]　多é¢ä½“を陰線処ç†ã—ã¦æã。多é¢ä½“ã¯é¢ãƒ‡ãƒ¼ã‚¿ï¼ˆé ‚点リストã¨é¢ãƒªã‚¹ãƒˆï¼‰ã‚’与ãˆã¦ï¼ŒVertexEdgeFace() ã§ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’作る。ã“ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã«å¯¾ã—ï¼Œéš ã‚Œã¦ã„ã‚‹é¢ï¼ˆè¾ºï¼‰ã‚’éžè¡¨ç¤ºã«ã—ã¦è¡¨ç¤ºã™ã‚‹ã€‚第1引数ã¯é€šå¸¸ã®name，第2引数ã®name2ã¯ï¼ŒVertexEdgeFace() ã§ä¸ŽãˆãŸnameã¨åŒã˜ã‚‚ã®ã¨ã™ã‚‹ã€‚\\ -　optionsã¯ï¼Œå…¨ä½“ã®ç·šç¨®ï¼ˆ"dr,2"ãªã©ï¼‰ã¨ï¼Œé™°ç·šã®ç·šç¨®ã‚’"Hidden=線種" ã§æŒ‡å®šã§ãる。デフォルトã§ã¯é™°ç·šã¯è¡¨ç¤ºã—ãªã„。\\ -　\\ -ã€ä¾‹ã€‘å°æž—・鈴木・三谷ã«ã‚ˆã‚‹å¤šé¢ä½“データ polyhedrons obj ã‹ã‚‰ï¼Œs06ã®åˆ‡é ‚二åé¢ä½“（サッカーボール型）をæã。 -\begin{verbatim} -　Setdirectory( Dirhead+"/data/polyhedrons_obj"); -　phd=Readobj("s06.obj",["size=3"]); -　Setdirectory(Dirwork); -　VertexEdgeFace("s06",phd,["Edg=nogeo"]); -　Phparadata("1","s06"); -\end{verbatim} -　VertexEdgeFace() ã® name ã¯é€šå¸¸ã® "1" ã§ã‚‚よã„。ãã®å ´åˆã¯ï¼Œ\verb|Phparadata("1","1");| ã¨ã™ã‚‹ãŒï¼Œã‚ã‹ã‚Šã«ãã„ã®ã§ä¸Šã®ã‚ˆã†ã«ã—ãŸã€‚\\ -　実行ã™ã‚‹ã¨ï¼ŒCinderellaã®æç”»é¢ã¯æ¬¡ã®ã‚ˆã†ã«é ‚点ã ã‘ãŒæã‹ã‚Œã‚‹ã€‚\\ -　\\ -　\includegraphics[bb=0 0 1452 730 , width=12cm]{Fig3d/phparadata01.png}\\ -　\\ -「Texviewã€ã€ŒExekcã€ãƒœã‚¿ãƒ³ã‚’押ã™ã¨é™°ç·šå‡¦ç†ã—ãŸãƒ‡ãƒ¼ã‚¿ãŒFhead.txt ã«æ›¸ã出ã•ã‚Œï¼Œã“れを用ã„ã¦Fhead.texãŒä½œæˆã•ã‚Œã‚‹ã€‚ãã®ãŸã‚，Exekcボタンを押ã—ã¦ã‹ã‚‰å‡¦ç†ãŒå®Œäº†ã™ã‚‹ã¾ã§ã«ã‹ãªã‚Šæ™‚é–“ãŒã‹ã‹ã‚‹ã€‚(下図左)\\ -　ãªãŠï¼Œã‚‚ã†ä¸€åº¦å®Ÿè¡Œã™ã‚‹ã¨ï¼Œã“ã‚“ã©ã¯ï¼ŒFhead.txt ãŒã§ãã¦ã„ã‚‹ãŸã‚ã«ï¼Œã“れをèªã¿è¾¼ã‚“ã§Cinderellaã®ç”»é¢ã§ã‚‚陰線処ç†ã•ã‚ŒãŸå›³ãŒæã‹ã‚Œã‚‹ã€‚\\ -　全体ã®ç·šç¨®ã¨ï¼Œé™°ç·šã®ç·šç¨®ã‚’\\ -　　\verb|Phparadata("1","s05",["dr,2","Hidden=do"]);|\\ -ã§æŒ‡å®šã—ãŸã®ãŒä¸‹å›³å³ã§ã‚る。\\ - -　　\input{Fig3d/phparadata02}　　　　\input{Fig3d/phparadata03}\\ - -ã€æ³¨æ„】\\ -　polyhedrons obj ã®ãƒ‡ãƒ¼ã‚¿ã‚’使ã£ã¦ï¼Œç¶šã‘ã¦ç•°ãªã‚‹å¤šé¢ä½“ã‚’æããŸã„å ´åˆã¯æ³¨æ„ãŒå¿…è¦ã§ã‚る。Readobj()ã ã‘を変更ã—ã¦åˆ¥ã®ãƒ‡ãƒ¼ã‚¿ã‚’èªã‚ã°ã‚ˆã•ãã†ã§ã‚ã‚‹ãŒï¼ŒVertexEdgeFace() ã®name も（ã—ãŸãŒã£ã¦ï¼ŒPhparadata()ã®ç¬¬2引数も）書ãæ›ãˆãªã„ã¨ï¼Œå‰ã®ãƒ‡ãƒ¼ã‚¿ãŒæ®‹ã£ã¦ã„ã¦ã†ã¾ãã„ã‹ãªã„。ãŸã¨ãˆã°ï¼Œä¸Šã®ã‚³ãƒ¼ãƒ‰ã§åˆ‡é ‚å二é¢ä½“ã‚’æã„ãŸå¾Œï¼Œæ£å…«é¢ä½“（r02）をæã“ã†ã¨ã™ã‚‹ãªã‚‰ã°ï¼Œ -\begin{verbatim} -　Setdirectory( Dirhead+"/data/polyhedrons_obj"); -　phd=Readobj("r02.obj",["size=3"]); -　Setdirectory(Dirwork); -　VertexEdgeFace("2",phd,["Edg=nogeo"]); -　Phparadata("1","2"); -\end{verbatim} -　ã®ã‚ˆã†ã«ã™ã‚‹ã€‚\\ - -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + \verb|Perpplane("A-B","P",P3d-O3d);| + + 点Pを通り，線分OPã«åž‚ç›´ãªå¹³é¢ä¸Šã«ç‚¹A,Bã‚’ã¨ã‚‹ã€‚ + ã“れらã«ãŠã„ã¦ï¼ŒPAã¨PBã¯åž‚ç›´ã§ï¼ŒPA=PB=1 ã¨ãªã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘ベクトル $\vec{p}=(1,1,1)$ ã«åž‚ç›´ã§ç‚¹$(1,1,1)$を通る平é¢ABCDã‚’æã。 -\hypertarget{projcoordpara}{} -\item[関数]　Projcoordpara(座標) -\item[機能]　投影座標を求ã‚ã‚‹ -\item[説明]　空間座標を投影ã—ãŸåº§æ¨™ã‚’求ã‚る。\\ -　戻り値ã®ç¬¬ï¼‘，第２è¦ç´ ã¯Cinderellaã®æç”»é¢ã®x,y座標。第３è¦ç´ ã¯xyå¹³é¢ã«åž‚ç›´ãªzã®åº§æ¨™ã§ï¼ŽæŠ•å½±é¢ã‹ã‚‰ã®ï¼ˆç¬¦å·ä»˜ï¼‰è·é›¢ã‚’表ã™ã€‚\\ -　\\ -ã€ä¾‹ã€‘\verb|Projcoordpara([3,1,2]);|\\ -　　戻り値ã¯ã€€[-0.65,1.7,3.27] 　ã¨ãªã‚‹ã€‚\\ + 点A,B,C,Dã¯ä½œå›³ãƒ„ールã§é©å½“ã«å–ã£ã¦ãŠã。æ£ç¢ºãªä½ç½®ã¯ã‚¹ã‚¯ãƒªãƒ—トã§æ±ºã‚る。 +\begin{layer}{120}{0} +\putnotese{80}{20}{ \input{Fig/perpplane}} +\end{layer} -\hypertarget{putaxes3d}{} -\item[関数]　Putaxes3d([x,y,z]) -\item[機能]　軸上ã«å¹¾ä½•ç‚¹ã‚’作る。 -\item[説明]　引数ã®ãƒªã‚¹ãƒˆ [x,y,z] ã«å¯¾ã—，点X(x,0,0) ,Y(0,y,0) , Z(0,0,z) ãŠã‚ˆã³ 原点Oを主画é¢ä¸Šã«ã¨ã‚Šï¼Œå‰¯ç”»é¢ä¸Šã«å¯¾å¿œã™ã‚‹ç‚¹Xz，Yz，Zz，Oz を作る。ã™ã§ã«åŒã˜å称ã®ç‚¹ãŒã‚ã‚‹å ´åˆã¯ï¼ŒæŒ‡å®šã•ã‚ŒãŸä½ç½®ã«ç§»å‹•ã™ã‚‹ã€‚\\ -　引数ã¯ï¼Œå®Ÿæ•°ã«ã™ã‚‹ã“ã¨ã‚‚ã§ã，Putaxes3d(a) ã¯ï¼ŒPutaxes3d([a,a,a]) ã¨åŒã˜ã«ãªã‚‹ã€‚\\ -ã€ä¾‹ã€‘Putaxes3d(5);　原点ã¨ï¼Œ$x(5,0,0),y(0,5,0),z(0,0,5)$ を作る。\\ -　　Putaxes3d([1,2,3]);　原点ã¨ï¼Œ$x(1,0,0),y(0,2,0),z(0,0,3)$ を作る。\\ +\begin{verbatim} + Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,4]"); + Putpoint3d(["O",[0,0,0]],"fix"); + Putpoint3d(["P",[1,1,1]],"fix"); + Perpplane("E-F","P",P3d-O3d,"put"); + vec1=2*(E3d-P3d); + vec2=2*(F3d-P3d); + Putpoint3d(["A",P3d+vec1+vec2],"fix"); + Putpoint3d(["B",P3d+vec1-vec2],"fix"); + Putpoint3d(["C",P3d-vec1-vec2],"fix"); + Putpoint3d(["D",P3d-vec1+vec2],"fix"); + Spaceline("1",[A,B,C,D,A]); + Arrowdata([O,P],["dr,2"]); + Letter([P,"w","P",A,"ne","A",B,"e","B",C,"ws","C",D,"nw","D",]); + Skeletonparadata("1"); +\end{verbatim} -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} -\hypertarget{putonCurve3d}{} -\item[関数]　PutonCurve3d(点å，PD) -\item[機能]　空間曲線上ã«ç‚¹ã‚’ã¨ã‚‹ -\item[説明]　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿PDã®æ›²ç·šä¸Šã«ï¼Œç‚¹åã®ç‚¹ã‚’ã¨ã‚‹ã€‚\\ -　ã¨ã£ãŸç‚¹ã¯å›ºå®šç‚¹ã§ã¯ãªã，曲線上ã«ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã¨ãªã‚‹ã€‚ã—ãŸãŒã£ã¦ï¼Œãƒ‰ãƒ©ãƒƒã‚°ã—ã¦æ›²ç·šä¸Šã‚’å‹•ã‹ã™ã“ã¨ãŒã§ãる。例㯠\hyperlink{partcrv3d}{Partcrv3d()} ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ -　\\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{\baselineskip} -\hypertarget{putonseg3d}{} -\item[関数]　Putonseg3d(点å，点１，点２) -\item[機能]　線分上ã«ç‚¹ã‚’å–ã‚‹ -\item[説明]　点１ã¨ç‚¹ï¼’ã®ä¸ç‚¹ã«ï¼ŒæŒ‡å®šã•ã‚ŒãŸåå‰ã®ç‚¹ã‚’å–る。点１ã¨ç‚¹ï¼’ãŒç·šåˆ†ã¨ã—ã¦çµã°ã‚Œã¦ã„ãªãã¦ã‚‚よã„。ã¨ã£ãŸç‚¹ã¯ç·šåˆ†ã«ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã¨ãªã‚‹ï¼ˆç·šåˆ†ãŒæã‹ã‚Œã¦ã„ãªãã¦ã‚‚）。点１ã¨ç‚¹ï¼’ã¯ãƒªã‚¹ãƒˆã«ã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ -　\\ -ã€ä¾‹ã€‘Aã¨Bã®ä¸ç‚¹ã«ç‚¹Cã‚’ã¨ã‚‹ã€‚ã¤ãŽã®ã„ãšã‚Œã§ã‚‚よã„。\\ -　　\verb|Putonseg3d("C",A,B);|\\ -　　\verb|Putonseg3d("C",[A,B]);|\\ -　\\ +\hypertarget{perppt}{} +\item[関数] Perppt(点å，点，点リスト,option) +\item[機能] å¹³é¢ã«ä¸‹ã‚ã—ãŸåž‚ç·šã®è¶³ã‚’求ã‚ã‚‹ +\item[説明] 第2引数ã®ç‚¹ã‹ã‚‰ï¼Œç¬¬3引数ã®ç‚¹ãƒªã‚¹ãƒˆã§æ±ºã¾ã‚‹å¹³é¢ã«ä¸‹ã—ãŸåž‚ç·šã®è¶³ã‚’，第１引数ã®åå‰ã®ç‚¹ã¨ã™ã‚‹ã€‚ -\hypertarget{putpoint3d}{} -\item[関数]　Putpoint3d(リスト,option) -\item[機能]　空間ã«å¹¾ä½•ç‚¹ã‚’作図ã™ã‚‹ -\item[説明]　点ã®å称ã¨åº§æ¨™ã‚’与ãˆã¦ç‚¹ã‚’作図ã™ã‚‹ã€‚複数ã®ç‚¹ã‚’一度ã«ä½œå›³ã§ãる。\\ -　optionã¯ï¼Œ"fix" ã¾ãŸã¯ "free" (デフォルト)。\\ -　"fix" ã‚’ã¤ã‘ã‚‹ã¨ï¼Œå›ºå®šç‚¹ï¼ˆãƒ‰ãƒ©ãƒƒã‚°ã§ç§»å‹•ã§ããªã„点）ã¨ã™ã‚‹ã€‚åŒã˜å称ã®ç‚¹ãŒã™ã§ã«å˜åœ¨ã™ã‚‹å ´åˆã¯ï¼ŒæŒ‡å®šã—ãŸä½ç½®ã«ç§»å‹•ã—ã¦å›ºå®šç‚¹ã¨ã™ã‚‹ã€‚\\ -　"free" ã‚’ã¤ã‘ã‚‹ã¨ï¼Œè‡ªç”±ç‚¹ï¼ˆãƒ‰ãƒ©ãƒƒã‚°ã§ç§»å‹•ã§ãる）ã¨ã™ã‚‹ã€‚åŒã˜å称ã®ç‚¹ãŒã™ã§ã«å˜åœ¨ã™ã‚‹å ´åˆã¯ãªã«ã‚‚ã—ãªã„。\\ -　\\ -ã€ä¾‹ã€‘ã„ãã¤ã‹è¨˜è¿°ä¾‹ã‚’示ã™ã€‚\\ -　　\verb|Putpoint3d(["A",[2,1,3]]);|\\ -　　\verb|Putpoint3d(["A",[1,1,1],"C",[1,0,1]],"fix");|\\ -　　\verb|Putpoint3d(["A",[2,1,3]],"free");|\\ -　\\ -　ãªãŠï¼Œã“ã®é–¢æ•°ã¯å¹¾ä½•ç‚¹ã‚’作るもã®ã§ã‚り，TeXã«ã¯å‡ºåŠ›ã•ã‚Œãªã„。TeXã«ç‚¹ã‚’出力ã™ã‚‹ã«ã¯ï¼Œ\hyperlink{pointdata}{Pointdata()} ã¾ãŸã¯ \hyperlink{drwpt}{Drawpoint()}を併用ã™ã‚‹ã€‚\\ -　空間ã«ãŠã‘る点ã®åº§æ¨™ã¯ï¼Œç‚¹åã«"3d"ã‚’ä»˜åŠ ã—ãŸåå‰ã®å¤‰æ•°ã«ä»£å…¥ã•ã‚Œã‚‹ã€‚ãŸã¨ãˆã°ï¼Œç‚¹Aã®åº§æ¨™ã¯A3dã§ã‚る。ã“ã‚Œã«ã‚ˆã‚Šï¼Œç‚¹ã®åº§æ¨™ã‚’å–å¾—ã§ãる。 - -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +オプションã¯æ¬¡ã®é€šã‚Šã€‚ åˆæœŸè¨å®šã¯ "draw" -\hypertarget{readobj}{} -\item[関数]　Readobj(ファイルå) -\item[機能]　objファイルをèªã¿è¾¼ã‚€ï¼Ž -\item[説明]　å°æž—・鈴木・三谷ã«ã‚ˆã‚‹å¤šé¢ä½“データ　polyhedrons\_obj 　をèªã¿è¾¼ã‚€ã€‚\\ -オプション㯠["size=n"] ã§ï¼Œnå€ã—ãŸãƒ‡ãƒ¼ã‚¿ã«ã™ã‚‹ã€‚è² ã®æ•°ã«ã™ã‚‹ã¨ä¸Šä¸‹ãŒå転ã•ã‚Œã‚‹ã€‚\\ -データã¯KeTCindyã®dataフォルダã®ä¸ã«ã‚る。ã—ãŸãŒã£ã¦ï¼Œæ¬¡ã®ã‚ˆã†ãªã‚¹ã‚¯ãƒªãƒ—トを書ã。èªã¿è¾¼ã‚€ã®ã¯ä¸€åº¦ã ã‘ãªã®ã§ï¼Œ Draw スãƒãƒƒãƒˆã§ã¯ãªãInitialization スãƒãƒƒãƒˆã«ç½®ã‘ã°ã‚ˆã„ãŒï¼Œã‚³ãƒ¼ãƒ‰ã®å¯èªæ€§ã‚’高ã‚ã‚‹ã«ã¯ Draw スãƒãƒƒãƒˆã§ã‚‚よã„。 -\begin{verbatim} -　Setdirectory( Dirhead+"/data/polyhedrons_obj"); -　polydt=Readobj("r02.obj"); -　Setdirectory(Dirwork); -\end{verbatim} -ã“ã‚Œã§ï¼Œr02.obj データãŒï¼Œå¤‰æ•° polydt ã«ä»£å…¥ã•ã‚Œã‚‹ã€‚\\ -ã“ã®å¤šé¢ä½“データã¯ï¼Œé ‚点リストã¨é¢ãƒªã‚¹ãƒˆã‹ã‚‰ãªã£ã¦ã„ã‚‹ãŒï¼Œé ‚点リストã¯åº§æ¨™ã®ãƒªã‚¹ãƒˆãªã®ã§ï¼Œèªã¿è¾¼ã‚“ã§è¡¨ç¤ºã™ã‚‹ã¨ãã«ã¯ï¼Œç‚¹ã®å称を v1,v2,・・・ ã¨ã™ã‚‹ã€‚\\ -èªã¿è¾¼ã‚“ã ã‚ã¨ã®ä½¿ã„方をå«ã‚ã¦ä¾‹ã‚’示ã™ã€‚\\ +draw：点を打ã¤ã€‚幾何点ã¯ä½œã‚‰ãªã„ -ã€ä¾‹ã€‘æ£å…«é¢ä½“ã‚’æã -\begin{verbatim} -　Setdirectory( Dirhead+"/data/polyhedrons_obj"); -　polydt=Readobj("r02.obj",["size=2"]); -　Setdirectory(Dirwork); -　VertexEdgeFace("1",polydt,["Edg=nogeo"]); -　Nohiddenbyfaces("1","phf3d1"); -\end{verbatim} -　　　\input{Fig3d/readobj} +put ：幾何点を作る -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +none：計算ã ã‘è¡Œã„，点ã¯ä½œå›³ã—ãªã„。 -\hypertarget{reflectpoint3d}{} -\item[関数]　Reflectpoint3d(座標,リスト) -\item[機能]　点ã®é¡æ˜ 点を求ã‚ã‚‹ -\item[説明]　第2引数ã®ã‚¿ã‚¤ãƒ—ã«ã‚ˆã‚Šï¼Œç‚¹ã«é–¢ã™ã‚‹é¡æ˜ ，直線ã«é–¢ã™ã‚‹é¡æ˜ ，é¢ã«é–¢ã™ã‚‹é¡æ˜ ã®ãã‚Œãžã‚Œã®ç‚¹ã®åº§æ¨™ã‚’è¿”ã™ã€‚\\ -　\\ -ã€ä¾‹ã€‘点A,B,C,Dを空間ã«ã¨ã‚Šï¼Œç‚¹Aã®é¡æ˜ 点ã®åº§æ¨™ã‚’求ã‚る。\\ -　　点Bã«é–¢ã™ã‚‹é¡æ˜ 点　　　\verb|Reflectpoint3d(A3d,[B3d]);|\\ -　　直線BCã«é–¢ã™ã‚‹é¡æ˜ 点　\verb|Reflectpoint3d(A3d,[B3d,C3d]);|\\ -　　平é¢BCDã«é–¢ã™ã‚‹é¡æ˜ 点　\verb|Reflectpoint3d(A3d,[B3d,C3d,D3d]);|\\ - -\hypertarget{rotate3pt}{} -\item[関数]　Rotate3pt(座標,vec,角度,ä¸å¿ƒç‚¹) -\item[機能]　点を回転ã™ã‚‹ -\item[説明]　第１引数ã®åº§æ¨™ã®ç‚¹ã‚’回転ã™ã‚‹ã€‚vecã¯å›žè»¢è»¸ã®æ–¹å‘ベクトル。ä¸å¿ƒç‚¹ã¯æ–¹å‘ベクトルã®å§‹ç‚¹ã€‚第４引数をçœç•¥ã—ãŸå ´åˆã¯åŽŸç‚¹ã¨ã™ã‚‹ã€‚\\ -　\\ -ã€ä¾‹ã€‘点Aã‚’(0,-1,0) ã«ç½®ã„ãŸã¨ãã®è¨˜è¿°ä¾‹ã¨çµæžœï¼ˆæˆ»ã‚Šå€¤ï¼‰\\ -　　\verb|Rotate3pt(A3d,[0,0,1],pi/2)|;　　　　　戻り値㯠[1,0,0]\\ -　　\verb|Rotate3pt(A3d,[0,0,1],pi/2,[1,1,1]);|　戻り値ã¯[3,0,0]\\ -　\\ +\vspace{\baselineskip} +ã€ä¾‹ã€‘原点ã‹ã‚‰ç‚¹ABCを通る平é¢ã«ä¸‹ã—ãŸåž‚ç·šã®è¶³Hã®åº§æ¨™ã‚’求ã‚る。 -\hypertarget{rotatedata3d}{} -\item[関数]　Rotatedata3d(name,PDリスト,vec,角度,options) -\item[機能]　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’回転 -\item[説明]　プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’，原点を始点ã¨ã™ã‚‹ãƒ™ã‚¯ãƒˆãƒ«vec 周りã«å›žè»¢ã™ã‚‹ã€‚複数ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’ã¾ã¨ã‚ã¦å›žè»¢ã™ã‚‹ã“ã¨ãŒã§ãる。\\ -options ã¨ã—ã¦ï¼Œä¸å¿ƒç‚¹ï¼ˆvecã®å§‹ç‚¹ï¼‰ï¼Œç·šç¨®ã‚’指定ã™ã‚‹ã“ã¨ãŒã§ãる。\\ -　\\ -ã€ä¾‹ã€‘コード例ã¨çµæžœã‚’示ã™ã€‚ + \verb|Perppt("H","O","A-B-C","none");| 表示ã¯ã•ã‚Œãªã„。 + + \verb|Perppt("H","O","A-B-C");| Ｈã®ä½ç½®ã«ç·‘色ã®ç‚¹ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ + + \verb|Perppt("H","O","A-B-C","put");| 幾何点HãŒä½œå›³ã•ã‚Œã‚‹ã€‚ + + ã„ãšã‚Œã®å ´åˆã‚‚，Hã®åº§æ¨™ã¯å¤‰æ•°H3d ã«ä»£å…¥ã•ã‚Œã‚‹ + +\vspace{\baselineskip} +作図例 \begin{verbatim} -　Xyzax3data("","x=[-5,4]","y=[-5,5]","z=[-5,4]",["a","O"]); -　Putpoint3d(["A",[0,-2,0],"B",[2,-2,0],"C",[1,-2,2],"D",[1,-2,3]],"fix"); -　Spaceline("1",[A,B,C,A]); -　Spaceline([C,D]); -　Rotatedata3d("1",["sl3d1","CD3d"],[0,0,1],pi/2,["dr,2"]); -　Letter([A,"s","A",B,"w","B",C,"ne","C",D,"ne","D"]); + Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,4]"); + Putpoint3d("O",[0,0,0],"fix"); + Putpoint3d("A",[3,0,0],"fix"); + Putpoint3d("B",[0,3,0],"fix"); + Putpoint3d("C",[0,0,3],"fix"); + Perppt("H","O","A-B-C","put"); + Spaceline("1",[A,B,C,A]); + Spaceline("2",[O,H]); + Letter([A,"nw","A",B,"ne","B",C,"ne","C",O,"nw","O",H,"ne","H"]); \end{verbatim} -ã“れを\\ -　\verb|Rotatedata3d("1",["sl3d1","CD3d"],[0,0,1],pi/2,[[1,0,0],"dr,2"]);|\\ -ã¨ã—ãŸå ´åˆãŒå³å›³ã§ã‚る。\\ -　\input{Fig3d/rotatedata3d01}　\input{Fig3d/rotatedata3d02}\\ +\vspace{\baselineskip} +\begin{center} \input{Fig/perppt} \end{center} -\hypertarget{sf3data}{} -\item[関数]　Sf3data(name,リスト,options) -\item[機能]　陰線処ç†ãªã—ã®æ›²é¢ã‚’ワイヤーフレームモデルã§æã -\item[説明]　リストã¯ï¼Œé–¢æ•°å¼ã¨å®šç¾©åŸŸï¼Œå¢ƒç•ŒæŒ‡å®šã‚’ãã‚Œãžã‚Œæ–‡å—列ã«ã—ãŸã‚‚ã®ã®ãƒªã‚¹ãƒˆã€‚\\ -optionsã¯ï¼Œè§£åƒåº¦ï¼ˆå„変数ã«å¯¾å¿œã™ã‚‹åˆ†å‰²æ•°ï¼‰ã¨ãƒ¡ãƒƒã‚·ãƒ¥ã®å¯†åº¦ï¼Œå¢ƒç•ŒæŒ‡å®šã€‚\\ -解åƒåº¦ã¯ï¼Œ"Num=[a,b]" ã§æŒ‡å®šã€‚åˆæœŸå€¤ã¯a,bã¨ã‚‚25\\ -メッシュ密度ã¯ï¼Œç¸¦æ¨ªã§ "Wire=[a,b]" ã§æŒ‡å®šã€‚åˆæœŸå€¤ã¯a,bã¨ã‚‚20\\ -境界指定ã¯"ewsn"ã§è¡Œã†ã€‚"ewsn" ã®æ„味ã¯æ¬¡ã®ã‚ˆã†ã«è€ƒãˆã‚‹ã€‚\\ -　　変数㌠u,v ã®ã¨ã，u,vå¹³é¢ã«ãŠã„ã¦ï¼Œ$a \leq u \leq b,c \leq v \leq d$ ã®çŸ©å½¢ã‚’考ãˆï¼Œ\\ -　　ãã®æ±è¥¿å—北(ewsn)ã®å¢ƒç•Œã‚’示ã™ã€‚\\ -　　　　　　　　\input{Fig/ewsn}\\ -　\\ -関数å¼ã®ãƒ‘ターンã¯ã¤ãŽã®3通り。\\ -　\\ -(1) $z=f(x,y)$\\ -　ã€ä¾‹ã€‘：$z=x^2-y^2$を定義域$x=[-2,2],y=[-2,2]$ ã§æç”»ã™ã‚‹ã€‚\\ -　　　\verb|Sf3data("1",["z=x^2-y^2","x=[-2,2]","y=[-2,2]"])|;\\ -　　　　　　　\input{Fig3d/saddle1}\\ -　ã€ä¾‹ã€‘：åŒã˜ã，解åƒåº¦ã‚’x,yã¨ã‚‚10，メッシュã®æ•°ã‚’縦横ã¨ã‚‚10ã«ã™ã‚‹ã€‚\\ -　　　解åƒåº¦ï¼Œãƒ¡ãƒƒã‚·ãƒ¥å¯†åº¦ã¨ã‚‚下ã’ã‚‹ã®ã§ç²—ã„æç”»ã¨ãªã‚‹ã€‚\\ -　　　\verb|Sf3data("1",["z=x^2-y^2","x=[-2,2]","y=[-2,2]"],|\\ -　　　　　　\verb|["Num=[10,10]","Wire=[10,10]"]);|\\ -　\\ -(2) $z=f(x,y),x=g(R,T),y=h(R,T)$\\ -　　x,y ã®åª’介変数 r,t ã¯å¤§æ–‡å—ã«ã™ã‚‹ã€‚\\ -　ã€ä¾‹ã€‘：次図左\\ -　　　\verb|fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]"];|\\ -　　　\verb|Sf3data("1",fd);|\\ -　ã€ä¾‹ã€‘：次図å³\\ -　　　\verb|fd=["z=sin(sqrt(abs(x^2+y^2)))","x=r*cos(t)","y=r*sin(t)",|\\ -　　　　　　　　　\verb|"r=[0,3]","t=[0,2*pi]"];|\\ -　　　\verb|Sf3data("1",fd);|\\ -\\ -　\input{Fig3d/parabola}　　\input{Fig3d/sf3ddata3}\\ -\\ -(3) $x=f(u,v),y=g(u,v),z=h(u,v),$\\ -　ã“ã®å ´åˆï¼Œ(2)ã¨åŒºåˆ¥ã™ã‚‹ãŸã‚ã«ï¼Œ"p" ã‚’å…ˆé ã«ã¤ã‘ã¦ãŠã。\\ -　ã€ä¾‹ã€‘çƒé¢\\ -　　\verb|fd=["p","x=2*sin(u)*cos(v)","y=2*sin(u)*sin(v)","z=2*cos(u)",|\\ -　　　　　\verb|"u=[0,pi]","v=[0,2*pi]"];|\\ -　　\verb|Sf3data("1",fd);|\\ - -　　　　　　\input{Fig3d/sf3ddata4}\\ +\vspace{\baselineskip} +\hypertarget{partcrv3d}{} +\item[関数] Partcrv3d(name，始点，終点，PD) +\item[機能] 部分曲線ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’作æˆã™ã‚‹ +\item[説明] 曲線PDã«ãŠã„ã¦ï¼Œå§‹ç‚¹ã‹ã‚‰çµ‚点ã¾ã§ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’作æˆã™ã‚‹ã€‚ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +始点ã¨çµ‚点ã¯ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ç•ªå·ã‚‚ã—ãã¯æ›²ç·šä¸Šã«ã¨ã£ãŸç‚¹ã®è˜åˆ¥åã§ç¤ºã™ã€‚ -\hypertarget{sfbdparadata}{} -\item[関数]　Sfbdparadata(name,å¼,options1,options2) -\item[機能]　空間曲é¢ã®é™°ç·šå‡¦ç† -\item[説明]　曲é¢ã«ã¤ã„ã¦é™°ç·šå‡¦ç†ã‚’è¡Œã†ã€‚ -　曲é¢ã®å¼ã¯Sf3data()ã®å ´åˆã¨åŒã˜ã€‚ãŸã ã—，(2) ã¨(3)ã®ãƒ‘ターンã§ã¯å¼ã®æœ€å¾Œã«å¢ƒç•Œã®æŒ‡å®š ewns を明示ã™ã‚‹å¿…è¦ãŒã‚る。(3)ã§ã¯å¢ƒç•Œã®æŒ‡å®šã‚’" "(ä¸ã¯åŠè§’スペース)ã¨ã™ã‚‹ã€‚çœç•¥ã™ã‚‹ã¨ä¸è¦ãªå¢ƒç•Œç·šãŒè¡¨ç¤ºã•ã‚Œã‚‹ã“ã¨ãŒã‚る。境界指定ã«ã¤ã„ã¦ã¯ï¼ŒSf3data()ã®é …ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ -options1ã¯ï¼Œ"Wait=n","r","m",線種。Wait ã®åˆæœŸå€¤ã¯30。\\ -　"r","m"ã«é–¢ã—ã¦ã¯ï¼Œã‚ªãƒ—ションãªã—ã¾ãŸã¯ï¼Œâ€â€ ã®ã¨ã\\ -　　i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る\\ -　　ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれをèªã¿è¾¼ã‚€\\ -　"m" ã®ã¨ã，強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚\\ -　"r" ã®ã¨ã，ã™ã§ã«ã‚るデータファイルをèªã¿è¾¼ã‚€ã€‚\\ -options2ã¯ï¼Œé™°ç·šã«é–¢ã™ã‚‹optionã§ï¼Œ"nodisp" ã¾ãŸã¯ 線種。"nodisp" ã«ã™ã‚‹ã¨é™°ç·šã¯æ¶ˆåŽ»ã•ã‚Œã‚‹ãŸã‚，輪éƒç·šã ã‘ãŒæã‹ã‚Œã‚‹ã“ã¨ã«ãªã‚‹ï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆï¼‰ã€‚options2 ã ã‘を指定ã™ã‚‹å ´åˆã¯ï¼Œoptions1 を空リストã«ã—ã¦ã¤ã‘ã‚‹å¿…è¦ãŒã‚る。\\ - - \textcolor{red}{ã€æ³¨æ„】} ã“ã®å‡¦ç†ã¯Scilabã§è¡Œã†ãŒï¼Œéžå¸¸ã«æ™‚é–“ãŒã‹ã‹ã‚‹ãŸã‚，ã“ã®é–¢æ•°ã‚’実行ã—ãŸçŠ¶æ…‹ã§ç”»é¢ä¸Šã®ã‚¹ãƒ©ã‚¤ãƒ€ã‚’å‹•ã‹ã—ãŸã‚Šã—ãªã„ã“ã¨ã€‚何ã‹æ“作を行ã†å ´åˆã¯ï¼Œã„ã£ãŸã‚“è¡Œé ã«//を書ã„ã¦ã‚³ãƒ¡ãƒ³ãƒˆåŒ–ã—ã¦ã‹ã‚‰è¡Œã†ã€‚\\ - -ã€ä¾‹ã€‘サドルé¢\\ -陰線を消去ã—ã¦è¡¨ç¤ºï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆï¼‰ï¼ˆä¸‹å›³å·¦ï¼‰ -\begin{verbatim} -　fd=["x=x^2-y^2","x=[-2,2]","y=[-2,2]"]; -　Sfbdparadata("1",fd); -\end{verbatim} -全体を実線ã§å¤ªã‚ã«ã—ã¦ï¼Œé™°ç·šã‚’点線ã§è¡¨ç¤ºï¼ˆä¸‹å›³å³ï¼‰ +\vspace{\baselineskip} +ã€ä¾‹ã€‘螺旋をæã一部分を太ãã™ã‚‹ã€‚PutonCurve3d() ã§èžºæ—‹ä¸Šã«ç‚¹C,DãŒã§ãã‚‹ã®ã§ï¼Œãƒ‰ãƒ©ãƒƒã‚°ã—ã¦é©å½“ãªä½ç½®ã«ç§»å‹•ã™ã‚‹ã€‚ \begin{verbatim} -　fd=["x=x^2-y^2","x=[-2,2]","y=[-2,2]"]; -　Sfbdparadata("1",fd,["dr,2"],["do"]); + Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,4]"); + Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=100"]); + PutonCurve3d("C","sc3d1"); + PutonCurve3d("D","sc3d1"); + Partcrv3d("1",C,D,"sc3d1",["dr,3"]); + Letter([C,"n2","C",D,"n2","D"]); \end{verbatim} -　　　\input{Fig3d/sfbdpara01}　　\input{Fig3d/sfbdpara02} + ã“ã“ã§ï¼Œ\verb|"sc3d1"| ã¯ï¼Œèžºæ—‹ï¼Œ\verb|"part3d1"| ã¯ï¼Œéƒ¨åˆ†æ›²ç·šã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§ã‚る。 + +\begin{center} \input{Fig/partcrv3d1} \end{center} -ã€ä¾‹ã€‘放物é¢\\ -デフォルト（下図左） -\begin{verbatim} -　fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]","e"]; -　Sfbdparadata("1",fd); -\end{verbatim} -é™°ç·šã‚’ç ´ç·šã§è¡¨ç¤ºï¼ˆä¸‹å›³å³ï¼‰ +\vspace{\baselineskip} +ã€ä¾‹ã€‘稲妻状ã®èžºæ—‹ã‚’点線ã§æã，ãã®ä¸€éƒ¨ã‚’実線ã«ã™ã‚‹ã€‚ä½ç½®ã¯ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ç•ªå·ã§ç¤ºã™ã€‚å°æ•°ã«ã™ã‚‹ã¨æ›²ç·šã‚’分割ã—ã¦ã„る線分ã®é€”ä¸ã®ä½ç½®ã«ãªã‚‹ã€‚ \begin{verbatim} -　fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]","e"]; -　Sfbdparadata("1",fd,[],["da"]); +Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=10","do"]); +Partcrv3d("1",3.3,8.5,"sc3d1"); \end{verbatim} -　　　\input{Fig3d/sfbdpara03}　　\input{Fig3d/sfbdpara04 -} + \begin{center} \input{Fig/partcrv3d2} \end{center} -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +\hypertarget{phparadata}{} +\item[関数] Phparadata(name,name2,options) +\item[機能] 多é¢ä½“を陰線処ç†ã—ã¦æã +\item[説明] 多é¢ä½“を陰線処ç†ã—ã¦æã。多é¢ä½“ã¯é¢ãƒ‡ãƒ¼ã‚¿ï¼ˆé ‚点リストã¨é¢ãƒªã‚¹ãƒˆï¼‰ã‚’与ãˆã¦ï¼ŒVertexEdgeFace() ã§ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’作る。ã“ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã«å¯¾ã—ï¼Œéš ã‚Œã¦ã„ã‚‹é¢ï¼ˆè¾ºï¼‰ã‚’éžè¡¨ç¤ºã«ã—ã¦è¡¨ç¤ºã™ã‚‹ã€‚第1引数ã¯é€šå¸¸ã®name，第2引数ã®name2ã¯ï¼ŒVertexEdgeFace() ã§ä¸ŽãˆãŸnameã¨åŒã˜ã‚‚ã®ã¨ã™ã‚‹ã€‚ -\hypertarget{skeletonparadata}{} -\item[関数]　Skeletonparadata(name,PDリスト,PDリスト,option) -\item[機能]　陰線処ç†ï¼ˆã‚¹ã‚±ãƒ«ãƒˆãƒ³å‡¦ç†ï¼‰ã‚’ãŠã“ãªã† -\item[説明]　æç”»ã•ã‚Œã¦ã„ã‚‹ç·šã¨è»¸ã«ã¤ã„ã¦é™°ç·šå‡¦ç†ã‚’ãŠã“ãªã†ã€‚\\ -第２引数ã®ç·šï¼ˆãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼‰ãŒï¼Œç¬¬ï¼“引数ã®ç·šï¼ˆãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼‰ã«ã‚ˆã£ã¦éš ã•ã‚Œã‚‹éƒ¨åˆ†ã‚’消去ã™ã‚‹ã€‚第２，第３引数をçœç•¥ã—ãŸå ´åˆã¯ï¼Œã™ã¹ã¦ã®ç·šã«ã¤ã„ã¦ï¼Œäº’ã„ã®é™°ç·šå‡¦ç†ã‚’ãŠã“ãªã†ã€‚optionã§æ¶ˆåŽ»ã™ã‚‹éƒ¨åˆ†ã®é•·ã•ã‚’指定ã§ãる。\\ -　\\ -ã€ä¾‹ã€‘螺旋ã¨ç·šåˆ†ï¼Œåº§æ¨™è»¸ã®é™°ç·šå‡¦ç†\\ -次ã®ã‚ˆã†ã«èžºæ—‹ã¨ç·šåˆ†ï¼Œåº§æ¨™è»¸ã‚’æã„ã¦ãŠã。 + optionsã¯ï¼Œå…¨ä½“ã®ç·šç¨®ï¼ˆ"dr,2"ãªã©ï¼‰ã¨ï¼Œé™°ç·šã®ç·šç¨®ã‚’"Hidden=線種" ã§æŒ‡å®šã§ãる。 åˆæœŸè¨å®šã§ã¯é™°ç·šã¯è¡¨ç¤ºã—ãªã„。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘å°æž—・鈴木・三谷ã«ã‚ˆã‚‹å¤šé¢ä½“データ \verb|polyhedrons_obj| ã‹ã‚‰ï¼Œs06ã®åˆ‡é ‚二åé¢ä½“（サッカーボール型）をæã。 \verb|polyhedrons_obj| 㯠KeTCindyシステム㮠data ディレクトリã«ã‚ã‚‹ã®ã§ï¼ŒSetdirectory() ã§ã‚«ãƒ¬ãƒ³ãƒˆãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã‚’作æ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã¨åˆ‡æ›¿ãªãŒã‚‰å‡ºåŠ›ã™ã‚‹ã€‚ \begin{verbatim} -　Xyzax3data("","x=[-5,5]","y=[-5,4]","z=[-5,3]"); -　Putpoint3d(["A",[0,-2,-2]],"fix"); -　Putpoint3d(["B",[-1,1,3]],"fix"); -　Spaceline([A,B]); -　Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=100"]); -\end{verbatim} -座標軸ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ ax3d，線分㯠AB3d，螺旋㯠sc3d1 ã§ã‚る。ã“ã‚Œã«å¯¾ã—，\\ -　\verb|Skeletonparadata("1");|\\ -　　　æç”»ã•ã‚Œã¦ã„ã‚‹ç·šã¨è»¸ã«ã¤ã„ã¦é™°ç·šå‡¦ç†ã‚’ãŠã“ãªã†ã€‚（図左）\\ -　\verb|Skeletonparadata("1",[2]);|\\ -　　　é‡ãªã£ãŸéƒ¨åˆ†ã®ç©ºãã‚’2ã«ã™ã‚‹ã€‚（図ä¸å¤®ï¼‰\\ -　\verb|Skeletonparadata("1",["AB3d","ax3d"],["sc3d1"]);|\\ -　　　螺旋ã«ã‚ˆã£ã¦éš れる部分ã ã‘消去ã™ã‚‹ã€‚（図å³ï¼‰\\ - -\input{Fig3d/skeletonparadata01}　　\input{Fig3d/skeletonparadata02} -　　\input{Fig3d/skeletonparadata03} - -ã“ã®ã»ã‹ï¼Œ\\ -　\verb|Skeletonparadata("1",["AB3d","ax3d"],["sc3d1"],[2]);|\\ -　\verb|Skeletonparadata("1",["AB3d"],["ax3d","sc3d1"]);|\\ -ã‚‚å¯èƒ½ã§ã‚る。 + Setdirectory( Dirhead+"/data/polyhedrons_obj"); + phd=Readobj("s06.obj",["size=3"]); + Setdirectory(Dirwork); + VertexEdgeFace("s06",phd,["Edg=nogeo"]); + Phparadata("1","s06"); +\end{verbatim} + VertexEdgeFace() ã® name ã¯é€šå¸¸ã® "1" ã§ã‚‚よã„。ãã®å ´åˆã¯ï¼Œ\verb|Phparadata("1","1");| ã¨ã™ã‚‹ãŒï¼Œã‚ã‹ã‚Šã«ãã„ã®ã§ä¸Šã®ã‚ˆã†ã«ã—ãŸã€‚ + +実行ã™ã‚‹ã¨ï¼ŒCinderellaã®æç”»é¢ã¯æ¬¡ã®ã‚ˆã†ã«é ‚点ã ã‘ãŒæã‹ã‚Œã‚‹ã€‚ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{\baselineskip} +\begin{center} + \includegraphics[bb=0 0 726.04 365.02 , width=10cm]{Fig/phparadata01.pdf} +\end{center} + +\vspace{\baselineskip} +全体ã®ç·šç¨®ã¨ï¼Œé™°ç·šã®ç·šç¨®ã‚’ + +\verb|Phparadata("1","s06",["dr,2","Hidden=do"]);| -\hypertarget{skeletondatacindy}{} -\item[関数]　Skeletondatacindy(name,PDリスト,PDリスト,option) -\item[機能]　陰線処ç†ï¼ˆã‚¹ã‚±ãƒ«ãƒˆãƒ³å‡¦ç†ï¼‰ã‚’Cindyscriptã§ãŠã“ãªã† -\item[説明]　æç”»ã•ã‚Œã¦ã„ã‚‹ç·šã¨è»¸ã«ã¤ã„ã¦é™°ç·šå‡¦ç†ã‚’ãŠã“ãªã†ã€‚\\ -　Scilabを呼ã°ãšï¼ŒCindyscriptã ã‘ã§è¡Œã†ã®ã§ï¼Œå¤šé¢ä½“ãªã©ã§ã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ã«å›³ã‚’å‹•ã‹ã™ã“ã¨ãŒã§ãる。ãŸã ã—，曲線ã§ã¯å‡¦ç†ãŒé…ããªã‚‹ã€‚\\ +ã§æŒ‡å®šã—ãŸã®ãŒä¸‹å›³å³ã§ã‚る。 + \begin{center} \input{Fig/phparadata02} \input{Fig/phparadata03} \end{center} -\hypertarget{spacecurve}{} -\item[関数]　Spacecurve(name,å¼,定義域,options) -\item[機能]　空間曲線をæã -\item[説明]　媒介変数ã§è¡¨ã•ã‚ŒãŸæ›²ç·šã‚’æã。optionã¯è§£åƒåº¦ Num\\ -　\\ -ã€ä¾‹ã€‘螺旋をæã\\ -　　\verb|Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=100"]);|\\ -　\\ -　　　　　\input{Fig3d/rasen}\\ +ã€æ³¨æ„】 -\hypertarget{spaceline}{} -\item[関数]　Spaceline(リスト) -\item[機能]　折れ線をæã -\item[説明]　点ã®å称ã¾ãŸã¯åº§æ¨™ã®ãƒªã‚¹ãƒˆã‚’与ãˆã¦æŠ˜ã‚Œç·šã‚’æã。平é¢ã§ã® Listplot() ã«ã‚ãŸã‚‹ã€‚\\ -ã€ä¾‹ã€‘Spaceline("1",[[2,5,1],[4,2,3]]); 　指定ã•ã‚ŒãŸï¼’点をçµã‚“ã 線分をæã。\\ -　　Spaceline([A,B,C,A]);　作図ã•ã‚Œã¦ã„る２点A,B,Cã‚’çµã‚“ã 三角形をæã。\\ -　　options ã¯ç·šç¨®ï¼ˆdr,da,do）\\ -　\\ - -\hypertarget{translatedata3d}{} -\item[関数]　Translatedata3d(name,PD,平行移動é‡) -\item[機能]　空間プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’平行移動 -\item[説明]　PDã§è¡¨ã•ã‚Œã‚‹å›³å½¢ã‚’，平行移動ã™ã‚‹ã€‚\\ -　\\ -ã€ä¾‹ã€‘曲線 sc3d1 ã‚’y軸方å‘ã«ï¼’ã ã‘平行移動ã™ã‚‹ã€‚\\ -　　\verb|Translatedata3d("1",["sc3d1"],[0,2,0]);|\\ -　　çµæžœã¨ã—ã¦ï¼Œã‚‚ã¨ã®æ›²ç·šã¨å¹³è¡Œç§»å‹•ã—ãŸæ›²ç·šã®ï¼’ã¤ãŒæã‹ã‚Œã‚‹ã€‚\\ -　\\ -ã€ä¾‹ã€‘多é¢ä½“ã®å¹³è¡Œç§»å‹•\\ -　VertexEdgeFace() ã§æã„ãŸå¤šè§’å½¢ã¯ã“ã®é–¢æ•°ã§ã¯å¹³è¡Œç§»å‹•ã§ããªã„ã®ã§ï¼Œé¢ãƒ‡ãƒ¼ã‚¿ã‚’直接æ“作ã—ã¦å¹³è¡Œç§»å‹•ã‚’è¡Œã†ã€‚\\ -　ãŸã¨ãˆã°ï¼Œå°æž—・鈴木・三谷ã«ã‚ˆã‚‹å¤šé¢ä½“データ polyhedrons obj を用ã„ã¦æ£å…«é¢ä½“ã‚’æãå ´åˆï¼Œæ¬¡ã®ã‚ˆã†ã«ã™ã‚‹ã€‚$y$軸方å‘ã«ï¼’ã ã‘平行移動ã™ã‚‹å ´åˆã§ã‚る。\\ + polyhedrons obj ã®ãƒ‡ãƒ¼ã‚¿ã‚’使ã£ã¦ï¼Œç¶šã‘ã¦ç•°ãªã‚‹å¤šé¢ä½“ã‚’æããŸã„å ´åˆã¯æ³¨æ„ãŒå¿…è¦ã§ã‚る。Readobj()ã ã‘を変更ã—ã¦åˆ¥ã®ãƒ‡ãƒ¼ã‚¿ã‚’èªã‚ã°ã‚ˆã•ãã†ã§ã‚ã‚‹ãŒï¼ŒVertexEdgeFace() ã®name も（ã—ãŸãŒã£ã¦ï¼ŒPhparadata()ã®ç¬¬2引数も）書ãæ›ãˆãªã„ã¨ï¼Œå‰ã®ãƒ‡ãƒ¼ã‚¿ãŒæ®‹ã£ã¦ã„ã¦ã†ã¾ãã„ã‹ãªã„。ãŸã¨ãˆã°ï¼Œä¸Šã®ã‚³ãƒ¼ãƒ‰ã§åˆ‡é ‚二åé¢ä½“ã‚’æã„ãŸå¾Œï¼Œæ£å…«é¢ä½“（r02）をæã“ã†ã¨ã™ã‚‹ãªã‚‰ã°ï¼Œ \begin{verbatim} -　Setdirectory( Dirhead+"/data/polyhedrons_obj"); -　phd=Readobj("r02.obj",["size=2"]); -　Setdirectory(Dirwork); -　dn=length(phd_1); -　repeat(dn,s,phd_1_s=phd_1_s+[0,2,0]); -　VertexEdgeFace("1",phd,["Edg=nogeo"]); + Setdirectory( Dirhead+"/data/polyhedrons_obj"); + phd=Readobj("r02.obj",["size=3"]); + Setdirectory(Dirwork); + VertexEdgeFace("2",phd,["Edg=nogeo"]); + Phparadata("1","2"); \end{verbatim} -　　　\input{Fig3d/translate01} + ã®ã‚ˆã†ã«ã™ã‚‹ã€‚ + -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\hypertarget{translatept3d}{} -\item[関数]　Translatept3d(座標，平行移動é‡) -\item[機能]　空間点を平行移動 -\item[説明]　点を平行移動ã™ã‚‹ã€‚\\ -　\\ -ã€ä¾‹ã€‘点A(1,0,0) ã‚’(-1,1,1)ã ã‘平行移動ã—ãŸç‚¹ã‚’Bã¨ã™ã‚‹ã€‚点Aã®ç©ºé–“座標㯠A3d ã§è¡¨ã•ã‚Œã‚‹ã€‚ -\begin{verbatim} -　Putpoint3d(["A",[1,0,0]],"fix"); -　pt=Translatept3d(A3d,[-1,1,1]); -　Putpoint3d(["B",pt],"fix"); -\end{verbatim} -　\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +\hypertarget{pointdata3d}{} +\item[関数] Pointdata3d(åå‰,点リスト,options) +\item[機能] 点ã®3Dデータã¨2Dデータを作æˆã—，画é¢ã¨\TeX ã«å‡ºåŠ›ã™ã‚‹ã€‚ +\item[説明] optionsã¯\hyperlink{pointdata}{Pointdata()}ã¨åŒæ§˜ã€‚ +\vspace{\baselineskip} -\hypertarget{vertexedgeface}{} -\item[関数]　VertexEdgeFace(name,é¢ãƒ‡ãƒ¼ã‚¿,options) -\item[機能]　多é¢ä½“ã®é¢ãƒ‡ãƒ¼ã‚¿ã‚’用ã„ã¦å¤šé¢ä½“ã‚’æã -\item[説明]　é¢ãƒ‡ãƒ¼ã‚¿ã¯ï¼Œé ‚点リストã¨ï¼Œé¢ãƒªã‚¹ãƒˆã‹ã‚‰ãªã‚‹ã€‚é¢ãƒªã‚¹ãƒˆã¯ï¼Œå„é¢ã‚’構æˆã™ã‚‹é ‚点を，外å´ã‹ã‚‰è¦‹ã¦å時計回り（左回り）ã«ä¸¦ã¹ãŸãƒªã‚¹ãƒˆã§ã‚る。\\ -ãŸã¨ãˆã°ï¼Œå››é¢ä½“ABCDã®é¢ãƒ‡ãƒ¼ã‚¿ã¯ï¼Œ[[A,B,C,D],[[1,2,3],[1,2,4],[1,3,4],[2,3,4]]] ã¨ãªã‚‹ã€‚\\ -４点A,B,C,Dã‚’ã¨ã£ã¦ãŠã，ã“ã®ãƒªã‚¹ãƒˆã‚’引数ã«ä¸Žãˆã‚‹ã¨ï¼Œå››é¢ä½“ã®è¾ºãŒæã‹ã‚Œã‚‹ã€‚\\ -ã“ã®ã¨ã，option ãŒãªã‘ã‚Œã°ï¼ŒCinderellaã®å¹¾ä½•è¦ç´ ã¨ã—ã¦è¾ºãŒæã‹ã‚Œã‚‹ãŒï¼Œãã‚Œã ã‘ã§ã¯TeXã«ã¯æ›¸ã出ã•ã‚Œãªã„ã®ã§æ³¨æ„ãŒå¿…è¦ã§ã‚る。(変数未定義ã®ã‚¨ãƒ©ãƒ¼ã«ãªã‚‹)　TeXã«æ›¸ã出ã™ã«ã¯ï¼Œoptionã¨ã—㦠["Edg=nogeo"] ã‚’ã¤ã‘る。ã“ã®ã¨ãã¯å„辺ã¯å¹¾ä½•è¦ç´ ã«ãªã‚‰ãªã„。\\ -ã¾ãŸï¼Œ"Pt=free" optionã‚’ã¤ã‘ã‚‹ã¨ï¼Œé ‚点ã¯è‡ªç”±ç‚¹ã¨ãªã‚Šï¼Œãƒžã‚¦ã‚¹ãƒ‰ãƒ©ãƒƒã‚°ã§å‹•ã‹ã™ã“ã¨ãŒã§ãる。\\ -生æˆã•ã‚Œã‚‹ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ï¼Œ\\ -phv3dï¼šé ‚ç‚¹ã®ãƒªã‚¹ãƒˆ\\ -phe3d：辺ã®ãƒªã‚¹ãƒˆ\\ -phf3d：é¢ãƒªã‚¹ãƒˆ\\ -ãªãŠï¼Œãã‚Œãžã‚Œæœ«å°¾ã«nameãŒä»˜åŠ ã•ã‚Œã‚‹ã€‚\\ -　\\ -ã€ä¾‹ã€‘：æ£å››é¢ä½“ã‚’æã +ã€ä¾‹ã€‘ \begin{verbatim} -　Putpoint3d("A",2*[-1,-1/sqrt(3),0],"fix"); -　Putpoint3d("B",2*[1,-1/sqrt(3),0],"fix"); -　Putpoint3d("C",2*[0,sqrt(3)-1/sqrt(3),0],"fix"); -　Putpoint3d("D",2*[0,0,sqrt(3)],"fix"); -　phd=Concatobj([[A,B,C],[A,B,D],[A,C,D],[B,C,D]]); -　VertexEdgeFace("1",phd,["Edg=nogeo"]); + Pointdata3d("1",[[1,1,1],[0,1,0]],["Size=2","Color=red"]); \end{verbatim} -　　　　\input{Fig3d/vertex01} +\vspace{\baselineskip} -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\hypertarget{wireparadata}{} -\item[関数]　Wireparadata(name,PD,å¼,æ•´æ•°,æ•´æ•°,optons1,options2) -\item[機能]　曲é¢ã®ãƒ¯ã‚¤ãƒ¤ãƒ•ãƒ¬ãƒ¼ãƒ を陰線処ç†ã—ã¦æã -\item[説明]　PDã¯ï¼Œç¬¬ï¼“引数ã®å¼ã§æã„ãŸãƒ¯ã‚¤ãƒ¤ãƒ•ãƒ¬ãƒ¼ãƒ モデルã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿å。第４，第５引数ã¯åˆ†å‰²ç·šã®æ•°ã€‚\\ -options1 ã«ã¯ "r","m","Wait=n" ãŒæŒ‡å®šã§ãる。Wait ã®åˆæœŸå€¤ã¯30。\\ -　"r","m"ã«é–¢ã—ã¦ã¯ï¼Œã‚ªãƒ—ションãªã—ã¾ãŸã¯ï¼Œâ€â€ ã®ã¨ã\\ -　　i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る\\ -　　ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれをèªã¿è¾¼ã‚€\\ -　"m" ã®ã¨ã，強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚\\ -　"r" ã®ã¨ã，ã™ã§ã«ã‚るデータファイルをèªã¿è¾¼ã‚€ã€‚\\ -optons2 ã«ã¯é™°ç·šã®è¡¨ç¤ºæ–¹æ³•ã«ã¤ã„㦠"nodisp" ã¾ãŸã¯ç·šç¨® ãŒã‚る。デフォルトã¯"nodisp" 。何も指定ã—ãªã„ã¨ãã¯ï¼Œ[""] （空文å—）を書ã„ã¦ãŠã。\\ -曲é¢ã®é™°ç·šå‡¦ç†ã‚’è¡Œã†ã®ã§ï¼ŒSfbdparadata() ã¨ãƒšã‚¢ã§ä½¿ã†ã€‚\\ -　\\ - \textcolor{red}{ã€æ³¨æ„】} \\ -　ã“ã®å‡¦ç†ã¯Scilabã§è¡Œã†ãŒï¼ŒSfbdparadata() ã¨ãƒšã‚¢ã§ä½¿ã†ãŸã‚ã«éžå¸¸ã«æ™‚é–“ãŒã‹ã‹ã‚‹ã€‚コンピュータã®æ€§èƒ½ã«ã‚‚よるãŒï¼’分以上ã‹ã‹ã“ã¨ã‚‚ã‚る。ã—ãŸãŒã£ã¦ï¼Œã“ã®é–¢æ•°ã‚’実行ã—ãŸçŠ¶æ…‹ã§ç”»é¢ä¸Šã®ã‚¹ãƒ©ã‚¤ãƒ€ã‚’å‹•ã‹ã—ãŸã‚Šã—ãªã„ã“ã¨ã€‚何ã‹æ“作を行ã†å ´åˆã¯ï¼Œã„ã£ãŸã‚“è¡Œé ã«//を書ã„ã¦ã‚³ãƒ¡ãƒ³ãƒˆåŒ–ã—ã¦ã‹ã‚‰è¡Œã†ã€‚çƒé¢ã‚„トーラスã®ã‚¿ã‚¤ãƒ—ã§ã¯ï¼ŒTexview ã‚„ Exekc ボタンã®å応もéˆããªã‚‹ã€‚Exekc ãŒå‹•ä½œã—ãªã„ï¼ˆã‚¿ã‚¤ãƒ ã‚¢ã‚¦ãƒˆï¼‰å ´åˆã¯ï¼Œkc.sh（Mac） / kc.bat（Windows）を直接起動ã™ã‚Œã° TeX ã®å›³ãŒã§ãる。\\ -　\\ -ã€ä¾‹ã€‘å¼ã®ã‚¿ã‚¤ãƒ—別ã«ä¾‹ã‚’示ã™ã€‚\\ -　\\ -サドルé¢ï¼šä¸‹å›³å·¦ -\begin{verbatim} -　fd=["z=x^2-y^2","x=[-2,2]","y=[-2,2]"]; -　Sfbdparadata("1",fd); -　Wireparadata("1","sfbd3d1",fd,4,5,[""]); -\end{verbatim} -　\\ -回転放物é¢ï¼šä¸‹å›³ä¸å¤® -\begin{verbatim} -　fd=["z=4-(x^2+y^2)","x=r*cos(t)","y=r*sin(t)","r=[0,2]","t=[0,2*pi]","e"]; -　Sfbdparadata("1",fd); -　Wireparadata("1","sfbd3d1",fd,5,7,[""]); -\end{verbatim} -　\\ -çƒé¢ï¼šä¸‹å›³å³\\ -　ã“ã®ã‚¿ã‚¤ãƒ—ã§ã¯ï¼Œåª’介変数形å¼ã®è˜åˆ¥ã®ãŸã‚，先é ã« "p" ã‚’ã¤ã‘ã¦ãŠãã¨ã‚ˆã„。 -\begin{verbatim} -　fd=["p","x=2*sin(u)*cos(v)","y=2*sin(u)*sin(v)","z=2*cos(u)","u=[0,pi]", -　　　"v=[0,2*pi]","s"]; -　Sfbdparadata("1",fd); -　 Wireparadata("1","sfbd3d1",fd,12,12,[""]); -\end{verbatim} -　\\ -\input{Fig3d/wirepara1}　\input{Fig3d/wirepara2}　\input{Fig3d/wirepara3}\\ -　\\ -ã€ä¾‹ã€‘çƒé¢ã§åº§æ¨™è»¸ã‚’陰線処ç†ã—ã¦ç‚¹ç·šã§è¡¨ã™ã€‚（次図左） -\begin{verbatim} -　fd=["p","x=2*sin(u)*cos(v)","y=2*sin(u)*sin(v)","z=2*cos(u)","u=[0,pi]", -　　　"v=[0,2*pi]","s"]; -　Sfbdparadata("1",fd); -　Wireparadata("1","sfbd3d1",fd,12,12,[""]); -　Crvsfparadata("1","ax3d","sfbd3d1",fd,[],["do"]); -\end{verbatim} -ã€ä¾‹ã€‘トーラスをæã（次図å³ï¼‰ -\begin{verbatim} -　fd=["p","x=(2+cos(u))*cos(v)","y=(2+cos(u))*sin(v)","z=sin(u)", -　　　"u=[0,2*pi]","v=[0,2*pi]","s"]; -　Sfbdparadata("1",fd); -　Wireparadata("1","sfbd3d1",fd,12,12,[""]); -\end{verbatim} -　\\ -　　\input{Fig3d/wirepara4}　　\input{Fig3d/wirepara5}\\ - -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} -　\\ -\hypertarget{xyzax3data}{} -\item[関数]　Xyzax3data(name，ｘã®ç¯„囲，yã®ç¯„囲，zã®ç¯„囲,options) -\item[機能]　座標軸をæã -\item[説明]　æç”»é¢ã«åº§æ¨™è»¸ã‚’æã。nameã¯ç©ºæ–‡å—列ã§ã‚ˆã„。プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ ax3d ãŒä½œæˆã•ã‚Œã‚‹ã€‚option ã¯æ¬¡ã®2ã¤ã€‚\\ -矢ã˜ã‚Šï¼š"an"：nã¯æ•°å—ã§çŸ¢ã˜ã‚Šã®å¤§ãã•ã€‚nã¯ãªãã¦ã‚‚よã„。\\ -原点O："Onesw"：neswã¯å¾®å°ä½ç½®ã€‚æ•°å—も付ã‘られる。neswã‚’ã¤ã‘ãªã„å ´åˆã®åˆæœŸå€¤ã¯sw。\\ -ã€ä¾‹ã€‘デフォルトã®åº§æ¨™è»¸\\ -　　　　\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]");|\\ -　　　矢ã˜ã‚Šã‚’ã¤ã‘ã‚‹\\ -　　　　\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]","a");|\\ -　　　矢ã˜ã‚Šã‚’大ããã™ã‚‹\\ -　　　　\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]",["a2"]);|\\ -　　　原点ã®Oを表示ã™ã‚‹ã€‚\\ -　　　　\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]",["O"]);|\\ -　　　原点ã®Oã®ä½ç½®ã‚’調整ã—ã¦å³ä¸Šã«è¡¨ç¤ºã™ã‚‹ã€‚ã‚„ã˜ã‚Šã‚‚ã¤ã‘る。\\ -　　　　\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]",["a","Oe2n2"]);|\\ - -ã€æ³¨æ„】Putaxes3d() ã§ç‚¹ã‚’å–ã‚‹ã¨åŽŸç‚¹ã«ç‚¹OãŒä½œæˆã•ã‚Œã‚‹ã€‚ã“ã®ç‚¹åOã¨è¡¨ç¤ºãŒé‡è¤‡ã™ã‚‹ã®ãŒç…©ã‚ã—ã„å ´åˆã¯ï¼Œä½œå›³å¾Œã«ã“ã®optionã‚’ã¤ã‘ã¦ã‹ã‚‰å‡ºåŠ›ã™ã‚‹ã¨ã‚ˆã„。\\ +\hypertarget{projcoordpara}{} +\item[関数] Projcoordpara(座標) +\item[機能] 投影座標を求ã‚ã‚‹ +\item[説明] 空間座標を平é¢ã«æŠ•å½±ã—ãŸåº§æ¨™ã‚’求ã‚る。 +戻り値ã®ç¬¬ï¼‘，第2è¦ç´ ã¯Cinderellaã®æç”»é¢ã®x,y座標。第3è¦ç´ ã¯xyå¹³é¢ã«åž‚ç›´ãªzã®åº§æ¨™ã§ï¼ŽæŠ•å½±é¢ã‹ã‚‰ã®ï¼ˆç¬¦å·ä»˜ï¼‰è·é›¢ã‚’表ã™ã€‚ -\hypertarget{xyzcoord}{} -\item[関数]　Xyzcoord(P.x,P.y,Pz.y) -\item[機能]　主副画é¢ã§æ±ºã¾ã‚‹ç‚¹ã®åº§æ¨™ -\item[説明]　Cinderellaã®æç”»é¢ä¸Šã®ç‚¹ãŒè¡¨ã™ç©ºé–“座標を求ã‚ã‚‹\\ -　点Ｐã«ã¤ã„ã¦ï¼Œä¸»ç”»é¢ã®ç‚¹ï¼°ã«å¯¾å¿œã™ã‚‹ã®ãŒå‰¯ç”»é¢ã®Pzã§ã‚る。点Pã®ï¼’次元座標ã¯P.x,P.yã§ï¼ŒPzã®y座標ã¯Pz.yã§è¡¨ã•ã‚Œã‚‹ã€‚ã“れを引数ã¨ã—ã¦ä¸Žãˆã‚‹ã¨ï¼Œç‚¹ï¼°ã®ç©ºé–“座標ãŒè¿”ã•ã‚Œã‚‹ã€‚\\ -　\\ -ã€ä¾‹ã€‘点Aをドラッグã—ã¦å‹•ã‹ã—ãŸã¨ã，Aã®åº§æ¨™ã‚’求ã‚る。\\ -　\verb|println(Xyzcoord(A.x,A.y,Az.y));|\\ -　ã«ã‚ˆã‚Šï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«åº§æ¨™ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ +\vspace{\baselineskip} +ã€ä¾‹ã€‘\verb|Projcoordpara([3,1,2]);| -\end{description} -\newpage -%　逆引辞典　================================== -\section{逆引辞典} + 戻り値㯠[-0.65,1.7,3.27] ã®ã‚ˆã†ã«ãªã‚‹ã€‚（視点ã«ã‚ˆã£ã¦å€¤ã¯ç•°ãªã‚‹ï¼‰ -幾何ã®ä½œå›³ã¯ï¼Œè£œåŠ©ç·šãªã©ã¯Cinderellaã®ä½œå›³ãƒ„ールã‹Cindyscriptを用ã„ã¦æã，TeXã«å‡ºåŠ›ã™ã‚‹ç·šã‚’KeTCindyã§æãã¨ï¼ŒåŠ¹çŽ‡ã®ã‚ˆã„作図ãŒã§ãる。 -関数ã®ã‚°ãƒ©ãƒ•ã‚‚，Cindyscriptã§æãã‚‚ã®ã¨ï¼ŒTeXã«å‡ºåŠ›ã™ã‚‹KeTCindyã§æãã‚‚ã®ã‚’使ã„分ã‘ã‚‹ã¨ã‚ˆã„。 +\vspace{\baselineskip} +\hypertarget{putaxes3d}{} +\item[関数] Putaxes3d([x,y,z]) +\item[機能] 軸上ã«å¹¾ä½•ç‚¹ã‚’作る。 +\item[説明] 引数ã®ãƒªã‚¹ãƒˆ [x,y,z] ã«å¯¾ã—，点X(x,0,0) ,Y(0,y,0) , Z(0,0,z) ãŠã‚ˆã³ 原点Oを主画é¢ä¸Šã«ã¨ã‚Šï¼Œå‰¯ç”»é¢ä¸Šã«å¯¾å¿œã™ã‚‹ç‚¹Xz，Yz，Zz，Oz を作る。ã™ã§ã«åŒã˜å称ã®ç‚¹ãŒã‚ã‚‹å ´åˆã¯ï¼ŒæŒ‡å®šã•ã‚ŒãŸä½ç½®ã«ç§»å‹•ã™ã‚‹ã€‚ -以下ã§ï¼Œã€Cinderella】ã¯ï¼ŒCinderellaã®ä½œå›³ãƒ„ールを用ã„ãŸæ画，ã€Cindyscript】ã¯Cindyscriptã®é–¢æ•°ï¼Œã€KeTCindy】ãŠã‚ˆã³ã€KeTCindy3D】ã¯KeTCindyã®é–¢æ•°ã‚’示ã™ã€‚\\ +引数ã¯ï¼Œå®Ÿæ•°ã«ã™ã‚‹ã“ã¨ã‚‚ã§ã，Putaxes3d(a) ã¯ï¼ŒPutaxes3d([a,a,a]) ã¨åŒã˜ã«ãªã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘Putaxes3d(5); 原点ã¨ï¼Œ$x(5,0,0),y(0,5,0),z(0,0,5)$ を作る。 -\subsection{点ã®ä½œå›³} -\subsubsection{点をã¨ã‚‹} + Putaxes3d([1,2,3]); 原点ã¨ï¼Œ$x(1,0,0),y(0,2,0),z(0,0,3)$ を作る。 -\begin{tabbing} -12\=34567890123456789\=\kill\\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\>ã€Cinderella】　\>ã€Œç‚¹ã‚’åŠ ãˆã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/single-add.png} を用ã„ã‚‹\\ - \>ã€KeTCindy】　　\>Drwpt(点),Drawpoint(点),Pointdata(name,リスト),Putpoint(name,座標),\\ - \>ã€KeTCindy3D】\>Drawpoint3d(座標),Putpoint3d(リスト),\\ -\end{tabbing} +\vspace{\baselineskip} +\hypertarget{putonCurve3d}{} +\item[関数] PutonCurve3d(点å，PD) +\item[機能] 空間曲線上ã«ç‚¹ã‚’ã¨ã‚‹ +\item[説明] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿PDã®æ›²ç·šä¸Šã«ï¼Œç‚¹åã®ç‚¹ã‚’ã¨ã‚‹ã€‚ -点をã¨ã‚‹é–¢æ•°ã¯ã„ãã¤ã‹ã‚る。Cinderellaã®æç”»é¢ä¸Šã«å˜ã«ç‚¹ã‚’表示ã™ã‚‹ã‚‚ã®ï¼Œå¹¾ä½•ç‚¹ã‚’作るもã®ï¼ŒTeXã«å‡ºåŠ›ã™ã‚‹ãŸã‚ã®ã‚‚ã®ï¼Œã¨ç”¨é€”ãŒç•°ãªã‚‹ã€‚ -Putpoint(),Putpoint3d()ã¯åº§æ¨™ã‚’与ãˆã¦å¹¾ä½•ç‚¹ã‚’作るãŒï¼Œä½œå›³ãƒ„ールã®ã€Œç‚¹ã‚’åŠ ãˆã‚‹ã€ã§ä½œå›³ã—ã¦ãŠã„ã¦ã‚¹ã‚¯ãƒªãƒ—トã§åº§æ¨™ã‚’指定ã—ã¦ã‚‚よã„。 +ã¨ã£ãŸç‚¹ã¯å›ºå®šç‚¹ã§ã¯ãªã，曲線上ã«ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã¨ãªã‚‹ã€‚ã—ãŸãŒã£ã¦ï¼Œãƒ‰ãƒ©ãƒƒã‚°ã—ã¦æ›²ç·šä¸Šã‚’å‹•ã‹ã™ã“ã¨ãŒã§ãる。例㯠\hyperlink{partcrv3d}{Partcrv3d()} ã‚’å‚ç…§ã®ã“ã¨ã€‚ -　\\ -ã€ä¾‹ã€‘座標(1,1) ã«ç‚¹Aã‚’ã¨ã‚‹ã€‚\\ -　　（方法１） ç£çŸ³ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/snap.png} ã§ã‚¹ãƒŠãƒƒãƒ—モードã«ã—ã¦ãŠã，作図ツールã§ç‚¹ã‚’ã¨ã‚‹ã€‚\\ -　　（方法２）KeTCindyã®é–¢æ•°ã§ \verb|Putpoint("A,[1,1])| ã¨ã™ã‚‹ã€‚ +\vspace{\baselineskip} +\hypertarget{putonseg3d}{} +\item[関数] Putonseg3d(点å，点１，点2) +\item[機能] 線分上ã«ç‚¹ã‚’å–ã‚‹ +\item[説明] 点１ã¨ç‚¹2ã®ä¸ç‚¹ã«ï¼ŒæŒ‡å®šã•ã‚ŒãŸåå‰ã®ç‚¹ã‚’å–る。点１ã¨ç‚¹2ãŒç·šåˆ†ã¨ã—ã¦çµã°ã‚Œã¦ã„ãªãã¦ã‚‚よã„。ã¨ã£ãŸç‚¹ã¯ç·šåˆ†ã«ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã¨ãªã‚‹ï¼ˆç·šåˆ†ãŒæã‹ã‚Œã¦ã„ãªãã¦ã‚‚）。点１ã¨ç‚¹2ã¯ãƒªã‚¹ãƒˆã«ã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ +\vspace{\baselineskip} +ã€ä¾‹ã€‘Aã¨Bã®ä¸ç‚¹ã«ç‚¹Cã‚’ã¨ã‚‹ã€‚ã¤ãŽã®ã„ãšã‚Œã§ã‚‚よã„。 -（方法１）ã§ã¯ï¼Œã“ã®ç‚¹ã¯è‡ªç”±ç‚¹ã¨ãªã‚‹ã€‚固定点ã«ã™ã‚‹ã«ã¯ï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ã€Œãƒ”ンã§ç•™ã‚ã‚‹ã€ã«ã™ã‚‹ã€‚ã¾ãŸï¼Œç‚¹åã¯CinderellaãŒè‡ªå‹•çš„ã«ã¤ã‘ã‚‹ã®ã§ï¼Œå¤‰æ›´ã™ã‚‹ã«ã¯ï¼Œç‚¹ã‚’é¸æŠžã—ã¦ãŠã，インスペクタを開ã„ã¦ã€Œè¦ç´ ã®æƒ…å ±ã€ã§å¤‰æ›´ã™ã‚‹ã€‚ + \verb|Putonseg3d("C",A,B);| -[1,1] ã®ã‚ˆã†ãªæ ¼å点ã§ãªã„å ´åˆã¯ï¼Œä½œå›³ãƒ„ールã§é©å½“ãªä½ç½®ã«ç‚¹ã‚’ã¨ã£ãŸã®ã¡ï¼ŒCindyscript㧠\verb|A.xy=[2,sqrt(3)]| ã®ã‚ˆã†ã«ã—ã¦åº§æ¨™ã‚’指定ã™ã‚‹ã€‚ + \verb|Putonseg3d("C",[A,B]);| + +\vspace{\baselineskip} -（方法２）ã§ã¯ï¼Œã“ã®ç‚¹ã¯å›ºå®šç‚¹ã¨ãªã‚‹ã€‚自由点ã¨ã™ã‚‹ã«ã¯ \verb|Putpoint("A",[1,1],[A.x,A.y])| ã¨ã™ã‚‹å¿…è¦ãŒã‚る。 +\hypertarget{putpoint3d}{} +\item[関数] Putpoint3d(リスト,option) +\item[機能] 空間ã«å¹¾ä½•ç‚¹ã‚’作図ã™ã‚‹ +\item[説明] 点ã®å称ã¨åº§æ¨™ã‚’与ãˆã¦ç‚¹ã‚’作図ã™ã‚‹ã€‚複数ã®ç‚¹ã‚’一度ã«ä½œå›³ã§ãる。 -ã“れらã®æ–¹æ³•ã§ç‚¹ã‚’å–ã£ãŸã¨ã，画é¢ä¸Šã«ã¯ç‚¹ãŒè¡¨ç¤ºã•ã‚Œã‚‹ãŒTeXã®å›³ã«ã¯å‡ºåŠ›ã•ã‚Œãªã„。TeXã®å›³ã«å‡ºåŠ›ã™ã‚‹ã«ã¯ï¼ŒKeTCindyã®Drwpt()ã¾ãŸã¯ï¼ŒDrawpoint()を用ã„ã‚‹å¿…è¦ãŒã‚る。\\ +optionã¯ï¼Œ"fix" ã¾ãŸã¯ "free" ( åˆæœŸè¨å®š)。 + +"fix" ã‚’ã¤ã‘ã‚‹ã¨ï¼Œå›ºå®šç‚¹ï¼ˆãƒ‰ãƒ©ãƒƒã‚°ã§ç§»å‹•ã§ããªã„点）ã¨ã™ã‚‹ã€‚åŒã˜å称ã®ç‚¹ãŒã™ã§ã«å˜åœ¨ã™ã‚‹å ´åˆã¯ï¼ŒæŒ‡å®šã—ãŸä½ç½®ã«ç§»å‹•ã—ã¦å›ºå®šç‚¹ã¨ã™ã‚‹ã€‚ -　以下ã¯ï¼Œãã‚Œãžã‚Œã®é–¢æ•°ã«ã¤ã„ã¦ã®æ¯”較表ã§ã‚る。「æç”»ã€ã¯ç·‘色ã®ç‚¹ã§æç”»ã™ã‚‹ãŒå¹¾ä½•ç‚¹ã¯ä½œã‚‰ãªã„。\\ -　\\ -　　　　　\input{Fig/poiintable} -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +"free" ã‚’ã¤ã‘ã‚‹ã¨ï¼Œè‡ªç”±ç‚¹ï¼ˆãƒ‰ãƒ©ãƒƒã‚°ã§ç§»å‹•ã§ãる）ã¨ã™ã‚‹ã€‚åŒã˜å称ã®ç‚¹ãŒã™ã§ã«å˜åœ¨ã™ã‚‹å ´åˆã¯ãªã«ã‚‚ã—ãªã„。 -\subsubsection{点ã®å¤§ãã•ã‚’変ãˆã‚‹} +\vspace{\baselineskip} +ã€ä¾‹ã€‘ã„ãã¤ã‹è¨˜è¿°ä¾‹ã‚’示ã™ã€‚ -\begin{tabbing} -12\=34567890123456\=\kill\\ + \verb|Putpoint3d(["A",[2,1,3]]);| + + \verb|Putpoint3d(["A",[1,1,1],"C",[1,0,1]],"fix");| + + \verb|Putpoint3d(["A",[2,1,3]],"free");| + +\vspace{\baselineskip} + ãªãŠï¼Œã“ã®é–¢æ•°ã¯å¹¾ä½•ç‚¹ã‚’作るもã®ã§ã‚り，TeXã«ã¯å‡ºåŠ›ã•ã‚Œãªã„。TeXã«ç‚¹ã‚’出力ã™ã‚‹ã«ã¯ï¼Œ\hyperlink{pointdata}{Pointdata()} ã¾ãŸã¯ \hyperlink{drwpt}{Drawpoint()}を併用ã™ã‚‹ã€‚ + + 空間ã«ãŠã‘る点ã®åº§æ¨™ã¯ï¼Œç‚¹åã«"3d"ã‚’ä»˜åŠ ã—ãŸåå‰ã®å¤‰æ•°ã«ä»£å…¥ã•ã‚Œã‚‹ã€‚ãŸã¨ãˆã°ï¼Œç‚¹Aã®åº§æ¨™ã¯A3dã§ã‚る。ã“ã‚Œã«ã‚ˆã‚Šï¼Œç‚¹ã®åº§æ¨™ã‚’å–å¾—ã§ãる。 -\>ã€Cinderella】　\>インスペクタã®ã€Œè¡¨ç¤ºæ–¹æ³•ã€ã‚’使ã†\\ -\>ã€Cindyscript】　\>A.size=n\\ - \>ã€KeTCindy】　\>Ptsize(n)，Setpt(n)\\ -\end{tabbing} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -インスペクタ，Cindyscriptã«ã‚ˆã‚‹ç‚¹ã®å¤§ãã•ã®è¨å®šã¯ç”»é¢ä¸Šã«ã¯åæ˜ ã•ã‚Œã‚‹ãŒï¼ŒTeXã«ã¯æ›¸ã出ã•ã‚Œãªã„。逆ã«ï¼ŒKeTCindyã§è¨å®šã—ãŸç‚¹ã®å¤§ãã•ã¯ï¼ŒCinderellaã®ç”»é¢ä¸Šã«ã¯åæ˜ ã•ã‚Œãªã„。ãã®ã“ã¨ã‚’考慮ã®ä¸Šï¼Œé©å®œä½¿ã„分ã‘ã‚‹å¿…è¦ãŒã‚る。画é¢ä¸Šã®ç‚¹ã®å¤§ãã•ã¨ï¼ŒTeXã®å›³ã®ç‚¹ã®å¤§ãã•ã¯é€£å‹•ã—ãªã„ã®ã§æ³¨æ„ãŒå¿…è¦ã§ã‚る。 +\vspace{\baselineskip} +\hypertarget{readobj}{} +\item[関数] Readobj(ファイルå) +\item[機能] objファイルをèªã¿è¾¼ã‚€ï¼Ž +\item[説明] å°æž—・鈴木・三谷ã«ã‚ˆã‚‹å¤šé¢ä½“データ \verb|polyhedrons_obj| ã‚’èªã¿è¾¼ã‚€ã€‚ -KeTCindyã®æ画関数を使ã£ã¦ç‚¹ã‚’ã¨ã‚‹ã¨ãã¯ï¼Œ["size=n"]オプションをã¤ã‘ã¦å¤§ãã•ã‚’è¨å®šã™ã‚‹ã“ã¨ã‚‚ã§ãる。 +オプション㯠"size=n" ã§ï¼Œnå€ã—ãŸãƒ‡ãƒ¼ã‚¿ã«ã™ã‚‹ã€‚è² ã®æ•°ã«ã™ã‚‹ã¨ä¸Šä¸‹ãŒå転ã•ã‚Œã‚‹ã€‚ -KeTCindyã§ã¯ï¼ŒDrwpt() ã¾ãŸã¯ Drawpoint() ã«ï¼ã‚ªãƒ—ションをã¤ã‘ã‚‹ã“ã¨ã§ç™½æŠœãã®ç‚¹ã‚’æãã“ã¨ãŒã§ãる。ãŸã ã—，ã“ã®å ´åˆï¼Œã“れよりã‚ã¨ã«æ›¸ã‹ã‚ŒãŸç·šã¯ç™½ã§æŠœã„ãŸã‚ã¨ã«æ›¸ã‹ã‚Œã¦ã—ã¾ã†ã®ã§ï¼Œè¨˜è¿°ã®é †ç•ªã‚’考慮ã™ã‚‹å¿…è¦ãŒã‚る。\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +データã¯KeTCindyã®dataフォルダã®ä¸ã«ã‚る。ã—ãŸãŒã£ã¦ï¼Œæ¬¡ã®ã‚ˆã†ãªã‚¹ã‚¯ãƒªãƒ—トを書ã。èªã¿è¾¼ã‚€ã®ã¯ä¸€åº¦ã ã‘ãªã®ã§ï¼Œ Draw スãƒãƒƒãƒˆã§ã¯ãªãInitialization スãƒãƒƒãƒˆã«ç½®ã‘ã°ã‚ˆã„ãŒï¼Œã‚³ãƒ¼ãƒ‰ã®å¯èªæ€§ã‚’高ã‚ã‚‹ã«ã¯ Draw スãƒãƒƒãƒˆã§ã‚‚よã„。 +\begin{verbatim} + Setdirectory( Dirhead+"/data/polyhedrons_obj"); + polydt=Readobj("r02.obj"); + Setdirectory(Dirwork); +\end{verbatim} +ã“ã‚Œã§ï¼Œr02.obj データãŒï¼Œå¤‰æ•° polydt ã«ä»£å…¥ã•ã‚Œã‚‹ã€‚ -\subsubsection{曲線上ã«ç‚¹ã‚’ã¨ã‚‹} +ã“ã®å¤šé¢ä½“データã¯ï¼Œé ‚点リストã¨é¢ãƒªã‚¹ãƒˆã‹ã‚‰ãªã£ã¦ã„ã‚‹ãŒï¼Œé ‚点リストã¯åº§æ¨™ã®ãƒªã‚¹ãƒˆãªã®ã§ï¼Œèªã¿è¾¼ã‚“ã§è¡¨ç¤ºã™ã‚‹ã¨ãã«ã¯ï¼Œç‚¹ã®å称を v1,v2,・・・ ã¨ã™ã‚‹ã€‚ -\begin{tabbing} -12\=34567890123456789\=\kill\\ +èªã¿è¾¼ã‚“ã ã‚ã¨ã®ä½¿ã„方をå«ã‚ã¦ä¾‹ã‚’示ã™ã€‚ -\>ã€Cinderella】　\>ã€Œç‚¹ã‚’åŠ ãˆã‚‹ã€ãƒ„ールを用ã„ã‚‹\\ -\>ã€KeTCindy】　　\>PutonCurve(name,PD,åˆæœŸå€¤)\\ -\>ã€KeTCindy3d】　\>PutonCurve3d(点å,PD)\\ -\end{tabbing} +\vspace{\baselineskip} +ã€ä¾‹ã€‘æ£å…«é¢ä½“ã‚’æã +\begin{layer}{150}{0} +\putnotese{55}{0}{ \input{Fig/readobj}} +\end{layer} -Cinderellaã®ä½œå›³ãƒ„ールã§æã„ãŸæ›²ç·šä¸Šã«ã¯ï¼Œã€Œç‚¹ã‚’åŠ ãˆã‚‹ã€ãƒ„ールã§ç‚¹ã‚’ã¨ã‚‹ã“ã¨ã§ï¼Œãã®ç‚¹ã¯æ›²ç·šä¸Šã ã‘ã‚’å‹•ã‹ã™ã“ã¨ãŒã§ãるよã†ã«ãªã‚‹ï¼ˆã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆï¼‰ã€‚作図ツールã§æã„ãŸæ›²ç·šã§ãªã‘ã‚Œã°ã“ã®æ–¹æ³•ã§ã¯æ›²ç·šä¸Šã«ç‚¹ã¯å–ã‚Œãªã„。 +\begin{verbatim} -Cindyscriptã§æã„ãŸæ›²ç·šã®å ´åˆï¼ŒãŸã¨ãˆã°ï¼Œé–¢æ•°$f(x)$ã®ã‚°ãƒ©ãƒ•ä¸Šã«ç‚¹ã‚’ç½®ãã«ã¯ï¼ŒA.y=[A.x,f(A.x)] ã®ã‚ˆã†ã«ã™ã‚Œã°ã‚ˆã„。（ã‚らã‹ã˜ã‚点を作図ã—ã¦ãŠã） + Setdirectory( Dirhead+"/data/polyhedrons_obj"); + polydt=Readobj("r02.obj",["size=2"]); + Setdirectory(Dirwork); + VertexEdgeFace("1",polydt,["Edg=nogeo"]); + Nohiddenbyfaces("1","phf3d1"); +\end{verbatim} -KeTCindyã®PutonCurve()を使ã†ã¨ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’用ã„ã¦æ›²ç·šä¸Šã«ç‚¹ã‚’ã¨ã‚‹ã“ã¨ãŒã§ãる。ã¾ãŸï¼Œ -KeTCindyã§ç›´ç·šï¼Œç·šåˆ†ä¸Šã«å–ã‚ŠãŸã„å ´åˆã¯ï¼ŒPutonLine( )，PutonSeg( )を用ã„ã‚‹ã“ã¨ã‚‚ã§ãる。\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\subsubsection{交点をã¨ã‚‹} -\begin{tabbing} -12\=34567890123456789\=\kill\\ +主ãªãƒ‡ãƒ¼ã‚¿ã¯æ¬¡ã®é€šã‚Šã€‚ -\>ã€Cinderella】　\>「２ã¤ã®æ›²ç·šã®äº¤ç‚¹ã‚’求ã‚ã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/intersection.png} を用ã„ã‚‹\\ - \>ã€KeTCindy】　　\>Intersectcrvs(PD,PD), Crosspoint(name,PD,PD,リスト),\\ - \>　　　　　　　　\> Putintersect(点å,PD,PD)\\ - \>ã€KeTCindy3D】　　\>Intersectcrvsf(name,PD,å¼), IntersectsgpL(点å,線分,é¢,方法)\\ -\end{tabbing} +\vspace{\baselineskip} + \input{Fig/kobayashi} + +ã“ã®ä»–ã«n01〜n92ã¾ã§æ•´é¢å‡¸å¤šé¢ä½“ãŒã‚る。 + +Webページã¯ï¼Œhttp://mitani.cs.tsukuba.ac.jp/polyhedron/ -Cinderellaã®ä½œå›³æ©Ÿèƒ½ã§ä½œå›³ã—ãŸå¹¾ä½•è¦ç´ ã®äº¤ç‚¹ã¯Cinderellaã®ã€Œï¼’ã¤ã®æ›²ç·šã®äº¤ç‚¹ã‚’求ã‚ã‚‹ã€ãƒ„ールを用ã„ã‚‹ã®ãŒç°¡ä¾¿ã§ã‚ã‚‹ãŒï¼Œé–¢æ•°ã®ã‚°ãƒ©ãƒ•ã‚„方程å¼ã«ã‚ˆã‚‹æ›²ç·šã®å ´åˆã¯ï¼ŒCinderellaã®ä½œå›³æ©Ÿèƒ½ã¯ä½¿ãˆãªã„ã®ã§ï¼ŒKeTCindyã®é–¢æ•°ã‚’使ã†ã“ã¨ã«ãªã‚‹ã€‚ -KeTCindyã®é–¢æ•°ã¯ï¼“通りã‚ã‚‹ãŒï¼Œintersectcrvs() ã¯ï¼’曲線ã®äº¤ç‚¹ã®ãƒªã‚¹ãƒˆã‚’å–å¾—ã™ã‚‹é–¢æ•°ãªã®ã§ï¼Œæ—¢å˜ã®ç‚¹ã‚’交点ã«æŒã£ã¦ããŸã„å ´åˆã¯ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{reflectdata3d}{} +\item[関数] Reflectdata3d(name , PDlist , list , options) +\item[機能] PDã®é¡æ˜ を作る +\item[説明] 第3引数ã®ã‚¿ã‚¤ãƒ—ã«ã‚ˆã‚Šï¼Œç‚¹ã«é–¢ã™ã‚‹é¡æ˜ ，直線ã«é–¢ã™ã‚‹é¡æ˜ ，é¢ã«é–¢ã™ã‚‹é¡æ˜ を作る。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘点A,B,C,D,Eを空間ã«ã¨ã‚Šï¼Œä¸‰è§’å½¢ABCã®é¡æ˜ を作る。 + \begin{verbatim} -　　　tmp=Intersectcrvs(gr1, crAB); -　　　P.xy=tmp_1; +Putpoint3d(["A",[0,-2,0],"B",[2,-2,0],"C",[1,-2,2],"D",[1,0,1], + "E",[1,0,0]],"fix"); +Spaceline("1",[A,B,C,A]); \end{verbatim} -ã®ã‚ˆã†ã«ã™ã‚Œã°ã‚ˆã„。 -Crosspoint()，Putintersect()ã§ã¯äº¤ç‚¹ã«æ–°ãŸãªå¹¾ä½•ç‚¹ã‚’作るã“ã¨ãŒã§ãる。 +ã§ç‚¹ã‚’ã¨ã‚Šï¼Œä¸‰è§’形をæã„ã¦ãŠã。 -Intersectcrvsf() ã¯æ›²ç·šã¨æ›²é¢ã®äº¤ç‚¹ï¼Œ IntersectsgpL() ã¯ç›´ç·šã¨å¹³é¢ã®äº¤ç‚¹ã‚’求ã‚る。 +点Dã«é–¢ã™ã‚‹é¡æ˜ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + \verb| Reflectdata3d("1",["sl3d1"],[D3d],["Color=blue","dr,2"]);| -\subsection{ç·šã®ä½œå›³} -\subsubsection{線分を引ã} +\hspace{20mm} \input{Fig/reflectdata3d01} -\begin{tabbing} -12\=34567890123456789\=\kill\\ +ç›´ç·šDEã«é–¢ã™ã‚‹é¡æ˜ -\>ã€Cinderella】　\>ã€Œç·šåˆ†ã‚’åŠ ãˆã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/segment.png} を用ã„る　\\ -\>ã€Cindyscript】　\>draw([A,B])　\\ - \>ã€KeTCindy】　　\>Listplot([A,B])　\\ - \>ã€KeTCindy3D】　\>Spaceline([A,B])　\\ -\end{tabbing} -　Cinderellaã®æ画ツールを使ã†ã¨ï¼Œæã‹ã‚ŒãŸç·šåˆ†ã¯å¹¾ä½•è¦ç´ ã¨ãªã‚Šï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ãã®å±žæ€§ï¼ˆè‰²ãƒ»å¤ªã•ãªã©ï¼‰ã‚’変ãˆã‚‹ã“ã¨ãŒã§ãる。ã¾ãŸï¼Œç‚¹ã‚’線分上ã«ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã•ã›ã‚‹ã“ã¨ãŒã§ãる。Scilabã«å‡ºåŠ›ã—ãªã„線分をæãã¨ãã¯ã“ã‚Œã§å分ã§ï¼Œã‚¹ã‚¯ãƒªãƒ—ãƒˆã‚‚ç°¡ç´ ã«ãªã‚‹ã€‚\\ -　Cindyscript ã®draw関数ã¨KeTCindyã®Listplot関数ã§ã¯ï¼Œç·šã®è‰²ï¼Œå¤ªã•ï¼Œç·šç¨®ã‚’指定ã§ãる。ã¾ãŸï¼Œç‚¹ã®è˜åˆ¥åã§ã¯ãªã座標を引数ã«ã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ -　推奨ã™ã‚‹ã®ã¯ï¼Œè£œåŠ©ç·šãªã©ã¯Cinderellaã®æ画ツールã§æã，最終的ã«å¿…è¦ãªç·šã ã‘Listplot()ã§å‡ºåŠ›ã™ã‚‹æ–¹æ³•ã€‚\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + \verb| Reflectdata3d("1",["sl3d1"],[D3d,E3d],["Color=blue","dr,2"]);| +\hspace{20mm} \input{Fig/reflectdata3d02} -\subsubsection{折れ線をæã} +å¹³é¢BDEã«é–¢ã™ã‚‹é¡æ˜ -\begin{tabbing} -12\=34567890123456789\=\kill\\ +\verb| Reflectdata3d("1",["sl3d1"],[D3d,E3d,B3d],["Color=blue","dr,2"]);| -\>ã€Cindyscript】　\>connect(点ã®ãƒªã‚¹ãƒˆ)\\ -\>ã€KeTCindy】　　\>Listplot(点ã®ãƒªã‚¹ãƒˆ)\\ -\>ã€KeTCindy3D】 \>Spaceline(点ã®ãƒªã‚¹ãƒˆ)\\ -\end{tabbing} +\hspace{20mm} \input{Fig/reflectdata3d03} + -Cinderellaã®æ画ツールã§æŠ˜ã‚Œç·šã‚’æãã®ã¯ã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ã§ã¯ã‚ã‚‹ãŒæœ¬æ•°ãŒå¤šããªã‚‹ã¨ç¾å®Ÿçš„ã§ã¯ãªã„。ãŸã ，æã‹ã‚ŒãŸç·šåˆ†ã¯å¹¾ä½•è¦ç´ ã¨ãªã‚Šï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ãã®å±žæ€§ï¼ˆè‰²ãƒ»å¤ªã•ãªã©ï¼‰ã‚’変ãˆã‚‹ã“ã¨ãŒã§ãる。折れ線全体ã®å±žæ€§ã‚’変ãˆã‚‹ã«ã¯ï¼Œã™ã¹ã¦ã®æŠ˜ã‚Œç·šã‚’åŒæ™‚ã«é¸æŠžã™ã‚‹ã€‚（Shift＋クリック） +\vspace{\baselineskip} +\hypertarget{reflectpoint3d}{} +\item[関数] Reflectpoint3d(座標,リスト) +\item[機能] 点ã®é¡æ˜ 点を求ã‚ã‚‹ +\item[説明] 第2引数ã®ã‚¿ã‚¤ãƒ—ã«ã‚ˆã‚Šï¼Œç‚¹ã«é–¢ã™ã‚‹é¡æ˜ ，直線ã«é–¢ã™ã‚‹é¡æ˜ ，é¢ã«é–¢ã™ã‚‹é¡æ˜ ã®ãã‚Œãžã‚Œã®ç‚¹ã®åº§æ¨™ã‚’è¿”ã™ã€‚ -Cindyscript ã®connect() 㨠KeTCindyã® Listplot() ,Spaceline()ã§ã¯ï¼Œå¼•æ•°ã«ç‚¹ã®ãƒªã‚¹ãƒˆã‚’与ãˆã‚Œã°æŠ˜ã‚Œç·šãŒæã‘る。 +\vspace{\baselineskip} +ã€ä¾‹ã€‘点A,B,C,Dを空間ã«ã¨ã‚Šï¼Œç‚¹Aã®é¡æ˜ 点ã®åº§æ¨™ã‚’求ã‚る。 -節点を明示ã—ãŸæŠ˜ã‚Œç·šã‚’æãã«ã¯ï¼ŒListplot()ã¨Drawpoint()を組ã¿åˆã‚ã›ã‚‹ã“ã¨ãŒè€ƒãˆã‚‰ã‚Œã‚‹ãŒï¼Œã‚らã‹ã˜ã‚点ã®ãƒªã‚¹ãƒˆã‚’作ã£ã¦ãŠãã®ãŒç°¡ä¾¿ã§ã‚る。 -\begin{verbatim} -　Ptsize(3); -　pd=[[1,2],[3,4],[6,2]]; -　Pointdata("1",pd); -　Listplot("1",pd); -\end{verbatim} +点Bã«é–¢ã™ã‚‹é¡æ˜ 点 \verb| Reflectpoint3d(A3d,[B3d]);| + +ç›´ç·šBCã«é–¢ã™ã‚‹é¡æ˜ 点 \verb| Reflectpoint3d(A3d,[B3d,C3d]);| + +å¹³é¢BCDã«é–¢ã™ã‚‹é¡æ˜ 点 \verb| Reflectpoint3d(A3d,[B3d,C3d,D3d]);| + + +\vspace{\baselineskip} +\hypertarget{rotatedata3d}{} +\item[関数] Rotatedata3d(name,PDリスト,vec,角度,options) +\item[機能] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’回転 +\item[説明] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’，原点を始点ã¨ã™ã‚‹ãƒ™ã‚¯ãƒˆãƒ«vec 周りã«å›žè»¢ã™ã‚‹ã€‚複数ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’ã¾ã¨ã‚ã¦å›žè»¢ã™ã‚‹ã“ã¨ãŒã§ãる。 -KeTCindy3Dã®å ´åˆã¯ç©ºé–“座標ã§ç‚¹ã‚’TeXã«æ›¸ã出ã™ã“ã¨ãŒã§ããªã„ã®ã§ï¼Œæ¬¡ã®ã‚ˆã†ã«ç‚¹ã‚’作ã£ã¦æ›¸ã出ã™ã€‚ +options ã¨ã—ã¦ï¼Œä¸å¿ƒç‚¹ï¼ˆvecã®å§‹ç‚¹ï¼‰ï¼Œç·šç¨®ã‚’指定ã™ã‚‹ã“ã¨ãŒã§ãる。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘コード例ã¨çµæžœã‚’示ã™ã€‚ \begin{verbatim} -　Putpoint3d(["A",[2,0,0],"B",[2,0,2],"C",[2,2,2]],"fix"); -　Spaceline([A,B,C]); -　Ptsize(3); -　Drawpoint([A,B,C]); + Xyzax3data("","x=[-5,4]","y=[-5,5]","z=[-5,4]",["a","O"]); + Putpoint3d(["A",[0,-2,0],"B",[2,-2,0],"C",[1,-2,2],"D",[1,-2,3]],"fix"); + Spaceline("1",[A,B,C,A]); + Spaceline("2",[C,D]); + Rotatedata3d("1",["sl3d1","CD3d"],[0,0,1],pi/2,["dr,2"]); + Letter([A,"s","A",B,"w","B",C,"ne","C",D,"ne","D"]); \end{verbatim} -節点ãŒå¤šã„å ´åˆã¯ï¼Œç©ºé–“ã®ç‚¹ã®ãƒªã‚¹ãƒˆã¨ï¼ŒæŠ•å½±ã—ãŸç‚¹ã®ãƒªã‚¹ãƒˆã‚’作ã£ã¦æç”»ã™ã‚‹ã€‚ +ã“れを + + \verb|Rotatedata3d("1",["sl3d1","CD3d"],[0,0,1],pi/2,[[1,0,0],"dr,2"]);| + +ã¨ã—ãŸå ´åˆãŒå³å›³ã§ã‚る。 + + \input{Fig/rotatedata3d01} \hspace{5mm} \input{Fig/rotatedata3d02} + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{\baselineskip} +\hypertarget{rotatepoint3d}{} +\item[関数] Rotatepoint3d(座標, vec , 角度, [点] ) +\item[機能] 点ã®ä½ç½®ã‚’回転ã™ã‚‹ +\item[説明] 点をvecã®å‘¨ã‚Šã«å›žè»¢ã™ã‚‹ã€‚角度ã¯å¼§åº¦æ³•ã§ä¸Žãˆã‚‹ã€‚ + +第4引数ã«ç‚¹ã‚’与ãˆãŸå ´åˆï¼Œvecã®å§‹ç‚¹ãŒç¬¬4引数ã®ä½ç½®ã«ãªã‚‹ã€‚デフォルトã¯åŽŸç‚¹ + +点Aを，$(0,-1,0)$ã«ç½®ã„ãŸã¨ãã®è¨˜è¿°ä¾‹ã¨æˆ»ã‚Šå€¤ + +\verb| Putpoint3d("A",[0,-1,0]);| \\ +\verb| Rotatepoint3d(A3d,[0,0,1],pi/2); | // 戻り値㯠[1,0,0]\\ +\verb| Rotatepoint3d(A3d,[0,0,1],pi/2,[1,1,0]); | // 戻り値㯠[3,0,0]\\ + +\vspace{\baselineskip} +\hypertarget{scaledata3d}{} +\item[関数] Scaledata3d(name , PDリスト , vec , [ä¸å¿ƒ,options]) +\item[機能] PDを拡大/縮å°ã™ã‚‹ã€‚ +\item[説明] 点ã¯ç©ºé–“座標，vec ã¯ï¼“次元ベクトルã§å€çŽ‡ã‚’表ã™ã€‚ + +ä¸å¿ƒã¨optionsã¯ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘三角形ã¨å††ã‚’拡大/縮å°ã™ã‚‹ã€‚ + \begin{verbatim} -　pt=[[2,0,0],[2,0,2],[2,2,2],[0,2,2],[0,4,2],[0,4,4]]; -　pt2d=apply(pt,[Projcoordpara(#)_1,Projcoordpara(#)_2]); -　Spaceline("1",pt); -　Ptsize(4); -　Drawpoint(pt2d); + Putpoint3d(["A",[0,-2,0],"B",[2,-2,0],"C",[1,-2,2]],"fix"); + Spaceline("1",[A,B,C,A]); + Spacecurve("1","[cos(t)+1,sin(t)+1,1]","t=[0,2*pi]",["Num=100"]); + Scaledata3d("1",["sl3d1","sc3d1"],[2,2,2],[[0,0,0],"dr,2"]); \end{verbatim} -　　　　　　　\input{Gfig/oresenex01}\\ -点ã®åå‰ãŒå¿…è¦ã§ã‚ã‚Œã°\\ -　　\verb|pname=apply(1..6,"P"+text(#));|\\ -ã®ã‚ˆã†ã«ã—ã¦ï¼Œåå‰ãƒªã‚¹ãƒˆã‚’作る。\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +\hspace{20mm}\input{Fig/scaledata3d} +\vspace{\baselineskip} +\hypertarget{scalepoint3d}{} +\item[関数] Scalepoint3d(点,vec,ä¸å¿ƒ) +\item[機能] 点ã®ä½ç½®ã‚’拡大/縮å°ã™ã‚‹ã€‚ +\item[説明] 点ã¯ç©ºé–“座標，vec ã¯ï¼“次元ベクトルã§ä¸Žãˆã‚‹ã€‚ -\subsubsection{直線を引ã} +\vspace{\baselineskip} +ã€ä¾‹ã€‘コード例ã¨çµæžœã‚’示ã™ã€‚ -\begin{tabbing} -12\=34567890123456789\=\kill\\ -　\\ -\>ã€Cinderella】　\>ã€Œç›´ç·šã‚’åŠ ãˆã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-line.png} を用ã„る　\\ -\>ã€Cindyscript】　\>draw(join([1,2],[2,-1]))\\ - \>ã€KeTCindy】　　\>Lineplot([A,B])　\\ -\end{tabbing} -　Cinderellaã®æ画ツールを使ã†ã¨ï¼Œæã‹ã‚ŒãŸç·šåˆ†ã¯å¹¾ä½•è¦ç´ ã¨ãªã‚Šï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ãã®å±žæ€§ï¼ˆè‰²ãƒ»å¤ªã•ãƒ»ç·šç¨®ãªã©ï¼‰ã‚’変ãˆã‚‹ã“ã¨ãŒã§ãる。ã¾ãŸï¼Œç‚¹ã‚’直線上ã«ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã•ã›ã‚‹ã“ã¨ãŒã§ãる。Scilabã«å‡ºåŠ›ã—ãªã„ç›´ç·šã‚’æãã¨ãã¯ã“ã‚Œã§å分ã§ï¼Œã‚¹ã‚¯ãƒªãƒ—ãƒˆã‚‚ç°¡ç´ ã«ãªã‚‹ã€‚åŠç›´ç·šã«ã—ãŸã„å ´åˆã¯ï¼Œç·šåˆ†ã‚’æã„ã¦ä¸€æ–¹ã®ç«¯ç‚¹ã‚’æç”»é ˜åŸŸï¼ˆSW,NE）ã®å¤–ã«å‡ºã—ã¦è¦‹ã‹ã‘上åŠç›´ç·šã«ã™ã‚Œã°ã‚ˆã„。 +\begin{verbatim} + Putpoint3d(["A",[2,-1,2]],"fix"); + pt=Scalepoint3d(A3d,[3,2,4],[1,1,1]); + Putpoint3d(["B",pt],"fix"); +\vspace{\baselineskip} +\end{verbatim} -Cindyscript ã®draw関数ã¨KeTCindyã®Lineplot関数ã§ã¯ï¼Œç·šã®è‰²ï¼Œå¤ªã•ï¼Œç·šç¨®ã‚’指定ã™ã‚‹ã“ã¨ãŒã§ãる。点ã®è˜åˆ¥åã§ã¯ãªã座標を引数ã«ã™ã‚‹ã“ã¨ã‚‚ã§ãる。 +点Bã®ä½ç½®ã¯(4,-3,5)ã«ãªã‚‹ã€‚ +\vspace{\baselineskip} +\hypertarget{sf3data}{} +\item[関数] Sf3data(name,リスト,options) +\item[機能] 陰線処ç†ãªã—ã®æ›²é¢ã‚’ワイヤーフレームモデルã§æã +\item[説明] リストã¯ï¼Œé–¢æ•°å¼ã¨å®šç¾©åŸŸï¼Œå¢ƒç•ŒæŒ‡å®šã‚’ãã‚Œãžã‚Œæ–‡å—列ã«ã—ãŸã‚‚ã®ã®ãƒªã‚¹ãƒˆã€‚ -TeXã¸ã®å‡ºåŠ›ã¯ï¼ŒLineplot()ã« "+" オプションをã¤ã‘ã‚‹ã¨åŠç›´ç·šã«ãªã‚‹ã€‚ +optionsã¯ï¼Œè§£åƒåº¦ï¼ˆå„変数ã«å¯¾å¿œã™ã‚‹åˆ†å‰²æ•°ï¼‰ã¨ãƒ¡ãƒƒã‚·ãƒ¥ã®å¯†åº¦ï¼Œå¢ƒç•ŒæŒ‡å®šã€‚ -KeTCindy3Dã«ã¯ç›´ç·šã‚’æã関数ã¯ãªã„ãŒï¼Œç·šåˆ†ã®å¤–分点をé©å½“ã«ã¨ã£ã¦ç·šåˆ†ã¨ã—ã¦æã‘ã°ï¼Œã»ã¨ã‚“ã©ç›´ç·šã¨ã—ã¦æ‰±ã†ã“ã¨ãŒã§ãる。 -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +解åƒåº¦ã¯ï¼Œ"Num=[a,b]" ã§æŒ‡å®šã€‚åˆæœŸå€¤ã¯a,bã¨ã‚‚25 +メッシュ密度ã¯ï¼Œç¸¦æ¨ªã§ "Wire=[a,b]" ã§æŒ‡å®šã€‚åˆæœŸå€¤ã¯a,bã¨ã‚‚20 +境界指定ã¯"ewsn"ã§è¡Œã†ã€‚"ewsn" ã®æ„味ã¯æ¬¡ã®ã‚ˆã†ã«è€ƒãˆã‚‹ã€‚ -\subsubsection{ç‚¹ç·šã‚„ç ´ç·šã‚’æã} +変数㌠u,v ã®ã¨ã，u,vå¹³é¢ã«ãŠã„ã¦ï¼Œ$a \leq u \leq b,c \leq v \leq d$ ã®çŸ©å½¢ã‚’考ãˆï¼Œ -\begin{tabbing} -12\=34567890123456789\=\kill\\ +ãã®æ±è¥¿å—北(ewsn)ã®å¢ƒç•Œã‚’示ã™ã€‚ -\>ã€Cinderella】　\>インスペクタã®ã€Œç‰¹åˆ¥ãªè¡¨ç¤ºæ–¹æ³•ã€ã§ç·šç¨®ã‚’変ãˆã‚‹ã€€\\ -\>ã€Cindyscript】　\>修飾å dashtype を使ã†ã€€\\ - \>ã€KeTCindy】　　\>do ,da オプションをã¤ã‘ã‚‹\\ - \>ã€KeTCindy3D】　\>do ,da オプションをã¤ã‘ã‚‹\\ -\end{tabbing} -　Cinderellaã®æ画ツールã§å¼•ã„ãŸç·šåˆ†ãƒ»ç›´ç·šã®ç·šç¨®ã¯ï¼Œãã®è¦ç´ ã‚’é¸ã‚“ã§ã€ŒCtrl+iã€(Mac㯠⌘+i) ã§è¡¨ç¤ºã•ã‚Œã‚‹ã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã‚’用ã„ã¦ï¼Œã€Œç‰¹åˆ¥ãªè¡¨ç¤ºæ–¹æ³•ã€ã§å¤‰ãˆã‚‹ã“ã¨ãŒã§ãã‚‹ã€‚ç‚¹ç·šï¼Œç ´ç·šã ã‘ã§ãªã，一点鎖線もã‚る。\\ -　Cindyscriptã® draw() ã§å¼•ã„ãŸç·šåˆ†ãƒ»åŠç›´ç·šã¯ï¼Œä¿®é£¾åを用ã„ã¦ï¼Œ draw([A,B],dashtype-$>$2) ã®ã‚ˆã†ã«ã—ã¦æã。\\ -　KeTCindyã§ã¯ï¼Œã‚ªãƒ—ションã«ï¼Œ["do"] (点線：dotline) ["da"]ï¼ˆç ´ç·šï¼šdashline）をã¤ã‘る。 -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + \begin{center} \input{Fig/ewsn} \end{center} +\vspace{\baselineskip} +関数å¼ã®ãƒ‘ターンã¯ã¤ãŽã®3通り。 +\vspace{\baselineskip} +(1) $z=f(x,y)$ -\subsubsection{ç·šã®å¤ªã•ã‚’変ãˆã‚‹} -\begin{tabbing} -12\=34567890123456\=\kill\\ + ã€ä¾‹ã€‘：$z=x^2-y^2$を定義域$x=[-2,2],y=[-2,2]$ ã§æç”»ã™ã‚‹ã€‚ + + \verb|Sf3data("1",["z=x^2-y^2","x=[-2,2]","y=[-2,2]"])|; + + \begin{center} \input{Fig/saddle1} \end{center} -\>ã€Cinderella】　\>インスペクタã®ã€Œè¡¨ç¤ºæ–¹æ³•ã€ã‚’使ã†\\ -\>ã€Cindyscript】　\>size オプションをã¤ã‘ã‚‹\\ - \>ã€KeTCindy】　　\>Setpen(n)　\\ -\end{tabbing} -　インスペクタ，Cindyscriptã«ã‚ˆã‚‹ç‚¹ã®å¤§ãã•ã®è¨å®šã¯ç”»é¢ä¸Šã«ã¯åæ˜ ã•ã‚Œã‚‹ãŒï¼ŒTeXã«ã¯æ›¸ã出ã•ã‚Œãªã„。逆ã«ï¼ŒKeTCindyã§è¨å®šã—ãŸç‚¹ã®å¤§ãã•ã¯ï¼ŒCinderellaã®ç”»é¢ä¸Šã«ã¯åæ˜ ã•ã‚Œãªã„。ãã®ã“ã¨ã‚’考慮ã®ä¸Šï¼Œé©å®œä½¿ã„分ã‘ã‚‹å¿…è¦ãŒã‚る。画é¢ä¸Šã®ç‚¹ã®å¤§ãã•ã¨ï¼ŒTeXã®å›³ã®ç‚¹ã®å¤§ãã•ã¯é€£å‹•ã—ãªã„ã®ã§æ³¨æ„ãŒå¿…è¦ã§ã‚る。\\ -　KeTCindynã®æ画関数を使ã†ã¨ãã¯ï¼Œ"size=n" オプションをã¤ã‘ã¦å¤§ãã•ã‚’è¨å®šã§ãã‚‹ã‚‚ã®ã‚‚ã‚る。 -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + ã€ä¾‹ã€‘：åŒã˜ã，解åƒåº¦ã‚’x,yã¨ã‚‚10，メッシュã®æ•°ã‚’縦横ã¨ã‚‚10ã«ã™ã‚‹ã€‚ + + 解åƒåº¦ï¼Œãƒ¡ãƒƒã‚·ãƒ¥å¯†åº¦ã¨ã‚‚下ã’ã‚‹ã®ã§ç²—ã„æç”»ã¨ãªã‚‹ã€‚ + +\verb|Sf3data("1",["z=x^2-y^2","x=[-2,2]","y=[-2,2]"],| + +\verb|["Num=[10,10]","Wire=[10,10]"]);| + +\vspace{\baselineskip} +(2) $z=f(x,y),x=g(R,T),y=h(R,T)$ + x,y ã®åª’介変数 r,t ã¯å¤§æ–‡å—ã«ã™ã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘：次図左 + +\verb|fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]"];| -\subsubsection{垂線を引ã} + \verb|Sf3data("1",fd);| + +ã€ä¾‹ã€‘：次図å³\\ + \verb|fd=["z=sin(sqrt(abs(x^2+y^2)))","x=r*cos(t)","y=r*sin(t)",| -\begin{tabbing} -12\=34567890123456789\=\kill\\ +\verb|"r=[0,3]","t=[0,2*pi]"];| + +\verb|Sf3data("1",fd);| -\>ã€Cinderella】　\>ã€Œåž‚ç·šã‚’åŠ ãˆã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-perp.png} を用ã„る　\\ -\>ã€Cindyscript】　\>perpendicular(A,a)\\ - \>ã€KeTCindy】　　\>作図後，Listplot()ã§ç·šåˆ†ã‚’引ã\\ - \>ã€KeTCindy3D】　\>Perppt()ã§åž‚ç·šã®è¶³ã‚’求ã‚ã¦ç·šåˆ†ã‚’引ã\\ + \begin{center} \input{Fig/parabola} \input{Fig/sf3ddata3} \end{center} -\end{tabbing} -　Cinderellaã®ã€Œåž‚ç·šã‚’æãã€ãƒ„ールを用ã„ã¦ä½œå›³ã™ã‚‹ã®ãŒç°¡ä¾¿ã ãŒï¼Œä½•ã‹æ¡ä»¶ã‚’与ãˆã¦åž‚線を引ãよã†ãªå ´åˆã¯Cindyscriptを使ã†ã“ã¨ã«ãªã‚‹ã€‚ãŸã ã—，点ã¨ç›´ç·šï¼ˆç·šåˆ†ï¼‰ãŒå¹¾ä½•è¦ç´ ã«ãªã£ã¦ã„ãªã„ã¨åž‚ç·šã¯å¼•ã‘ãªã„。perpendicular(A,a)　ã§ï¼ŒAã¯ç‚¹ã®è˜åˆ¥å，aã¯ç›´ç·šï¼ˆç·šåˆ†ï¼‰ã®è˜åˆ¥å。TeXã«ã¯ï¼Œé©å½“ãªå›³ãŒæã‘ãŸã¨ã“ã‚ã§Lineplot()ã‚‚ã—ãã¯Listplot()ã§å‡ºåŠ›ã™ã‚Œã°ã‚ˆã„。 +(3) $x=f(u,v),y=g(u,v),z=h(u,v),$ -対象ãŒå¹¾ä½•è¦ç´ ã§ãªã„å ´åˆã¯ï¼ŒCindyscriptã§æ–¹ç¨‹å¼ã‚’求ã‚ã¦å¼•ãã“ã¨ã«ãªã‚‹ã€‚ + ã“ã®å ´åˆï¼Œ(2)ã¨åŒºåˆ¥ã™ã‚‹ãŸã‚ã«ï¼Œ"p" ã‚’å…ˆé ã«ã¤ã‘ã¦ãŠã。 + + \vspace{\baselineskip} + ã€ä¾‹ã€‘çƒé¢ + + \verb|fd=["p","x=2*sin(u)*cos(v)","y=2*sin(u)*sin(v)","z=2*cos(u)",| + +\verb|"u=[0,pi]","v=[0,2*pi]"];| +\verb|Sf3data("1",fd);| -KeTCindy3D ã® Perppt() 関数ã¯ï¼Œã‚る点ã‹ã‚‰å¹³é¢ã«ä¸‹ã—ãŸåž‚ç·šã®è¶³ã‚’求ã‚る。Perppt() ã®é …ã«ã‚る例をå‚ç…§ã®ã“ã¨ã€‚ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +\begin{center} \input{Fig/sf3ddata4} \end{center} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\subsubsection{平行線を引ã} +\hypertarget{sfbdparadata}{} +\item[関数] Sfbdparadata(name,å¼,options) +\item[機能] 空間曲é¢ã®é™°ç·šå‡¦ç† +\item[説明] 曲é¢ã«ã¤ã„ã¦é™°ç·šå‡¦ç†ã‚’è¡Œã†ã€‚ + 曲é¢ã®å¼ã¯Sf3data()ã®å ´åˆã¨åŒã˜ã€‚ãŸã ã—，(2) ã¨(3)ã®ãƒ‘ターンã§ã¯å¼ã®æœ€å¾Œã«å¢ƒç•Œã®æŒ‡å®š ewns を明示ã™ã‚‹å¿…è¦ãŒã‚る。(3)ã§ã¯å¢ƒç•Œã®æŒ‡å®šã‚’" "(ä¸ã¯åŠè§’スペース)ã¨ã™ã‚‹ã€‚çœç•¥ã™ã‚‹ã¨ä¸è¦ãªå¢ƒç•Œç·šãŒè¡¨ç¤ºã•ã‚Œã‚‹ã“ã¨ãŒã‚る。境界指定ã«ã¤ã„ã¦ã¯ï¼ŒSf3data()ã®é …ã‚’å‚ç…§ã®ã“ã¨ã€‚ + +optionsã¯ï¼Œ"Wait=n","r","m",線種。Wait ã®åˆæœŸå€¤ã¯30。 -\begin{tabbing} -12\=34567890123456\=\kill\\ + "r","m"ã«é–¢ã—ã¦ã¯ï¼Œã‚ªãƒ—ションãªã—ã¾ãŸã¯ï¼Œâ€â€ ã®ã¨ã + + i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る + + ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれをèªã¿è¾¼ã‚€ + +"m" ã®ã¨ã，強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚ -\>ã€Cinderella】　\>ã€Œå¹³è¡Œç·šã‚’åŠ ãˆã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-parallel.png} を用ã„る　\\ -\>ã€Cindyscript】　\>parallel(B,a)\\ - \>ã€KeTCindy】　　\>作図後，Listplot()ã§ç·šåˆ†ã‚’引ã\\ -\end{tabbing} -　Cinderellaã®ã€Œå¹³è¡Œç·šã‚’æãã€ãƒ„ールを用ã„ã¦ä½œå›³ã™ã‚‹ã®ãŒç°¡ä¾¿ã ãŒï¼Œãªã«ã‹æ¡ä»¶ã‚’与ãˆã¦å¹³è¡Œç·šã‚’引ãよã†ãªå ´åˆã¯Cindyscriptを使ã†ã“ã¨ã«ãªã‚‹ã€‚ãŸã ã—，点ã¨ç›´ç·šï¼ˆç·šåˆ†ï¼‰ãŒå¹¾ä½•è¦ç´ ã«ãªã£ã¦ã„ãªã„ã¨å¹³è¡Œç·šã¯å¼•ã‘ãªã„。parallel(B,a)　ã§ï¼ŒBã¯ç‚¹ã®è˜åˆ¥å，aã¯ç›´ç·šï¼ˆç·šåˆ†ï¼‰ã®è˜åˆ¥å。 +"r" ã®ã¨ã，ã™ã§ã«ã‚るデータファイルをèªã¿è¾¼ã‚€ã€‚ -TeXã«ã¯ï¼Œé©å½“ãªå›³ãŒæã‘ãŸã¨ã“ã‚ã§Lineplot()ã‚‚ã—ãã¯Listplot() ã§å‡ºåŠ›ã™ã‚Œã°ã‚ˆã„。 +ã“ã®å‡¦ç†ã¯æ™‚é–“ãŒã‹ã‹ã‚‹ãŸã‚，ã“ã®é–¢æ•°ã‚’実行ã—ãŸçŠ¶æ…‹ã§ç”»é¢ä¸Šã®ã‚¹ãƒ©ã‚¤ãƒ€ã‚’å‹•ã‹ãã†ã¨ã™ã‚‹ã¨åå¿œãŒæ‚ªããªã‚‹ã€‚ãã“ã§ï¼ŒIsangle() を用ã„ã¦ï¼Œã‚¹ãƒ©ã‚¤ãƒ€ã®ç‚¹ã‚’é¸æŠžã—ã¦ã„ã‚‹ã¨ãã¯ãƒ¯ã‚¤ãƒ¤ãƒ•ãƒ¬ãƒ¼ãƒ モデルをæç”»ã™ã‚‹ã‚ˆã†ã«ã™ã‚‹ã¨ã‚ˆã„。 -対象ãŒå¹¾ä½•è¦ç´ ã§ãªã„å ´åˆã¯ï¼ŒCindyscriptã§æ–¹ç¨‹å¼ã‚’求ã‚ã¦å¼•ãã“ã¨ã«ãªã‚‹ã€‚ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +ã¾ãŸï¼Œã“ã®é–¢æ•°ã¯ãƒ‡ãƒ¼ã‚¿ã‚’作るã ã‘ãªã®ã§ï¼Œè¡¨ç¤ºã™ã‚‹ã«ã¯ ExeccmdC() を用ã„る。 -\subsection{多角形をæã} +C言語ã®ç’°å¢ƒãŒãªã„å ´åˆã¯ï¼ŒExeccmdC() ãŒä½¿ãˆãªã„ã®ã§ï¼ŒSfbdparadataR(name,å¼,optons1,optons2) を使ã†ã€‚options2ã«ã¯é™°ç·šã®è¡¨ç¤ºæ–¹æ³•ã«ã¤ã„㦠"nodisp" ã¾ãŸã¯ç·šç¨® を指定ã™ã‚‹ã€‚ åˆæœŸè¨å®šã¯"nodisp" 。options2ã®ã¿æŒ‡å®šã™ã‚‹ã¨ãã¯ï¼Œoptions1ã« [""] （空文å—）を書ã„ã¦ãŠã。 -\subsubsection{é ‚ç‚¹ã‚’ä¸Žãˆã¦å¤šè§’形をæã} +\vspace{\baselineskip} +ã€ä¾‹ã€‘ã‚µãƒ‰ãƒ«é¢ -\begin{tabbing} -12\=34567890123456789\=\kill\\ +陰線を消去ã—ã¦è¡¨ç¤ºï¼ˆä¸‹å›³å·¦ï¼‰ +\begin{verbatim} + fd=["x=x^2-y^2","x=[-2,2]","y=[-2,2]"]; + if(Isangle(), + Sf3data("1",fd); + , + Startsurf(); + Sfbdparadata("1",fd); + ExeccmdC("1",[],["nodisp"]); + ); +\end{verbatim} +全体を実線ã§å¤ªã‚ã«ã—ã¦ï¼Œé™°ç·šã‚’点線ã§è¡¨ç¤ºï¼ˆä¸‹å›³å³ï¼‰: \verb|ExeccmdC()| を変更ã™ã‚‹ã€‚ +\begin{verbatim} + ExeccmdC("1",["dr,2"],["do"]); +\end{verbatim} + \begin{center} \input{Fig/sfbdpara01} \input{Fig/sfbdpara02}\end{center} - \>ã€Cinderella】　\>多角形ツール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/polygon.png} を用ã„る　\\ - \>ã€Cindyscript】　\>drawpoly(点リスト)\\ - \>ã€KeTCindy】　　\>Listplot(点リスト)\\ - \>ã€KeTCindy3D】　\>Spaceline(点リスト)\\ -\end{tabbing} +ã€ä¾‹ã€‘æ”¾ç‰©é¢ ï¼š å¼ã‚’変更ã™ã‚‹ã€‚ +\begin{verbatim} + fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]","e"]; +\end{verbatim} + + 陰線を消去（下図左）：\verb|ExeccmdC("1",[],["nodisp"]);| + + é™°ç·šã‚’ç ´ç·šã§è¡¨ç¤ºï¼ˆä¸‹å›³å³ï¼‰ï¼š\verb|ExeccmdC("1",[],["da"]);| + \begin{center} \input{Fig/sfbdpara03} \input{Fig/sfbdpara04} \end{center} -　Cinderellaã®æ画ツールã®å¤šè§’形ツールã¯ï¼Œæ—¢å˜ã®ç‚¹ã‚’çµã‚“ã§å¤šè§’形を作り色塗りをã™ã‚‹ã‚‚ã®ã€‚色塗りをã—ãªã„ã®ã§ã‚ã‚Œã°ï¼Œå˜ã«ç·šåˆ†ã§ã¤ãªã„ã§ã„ã。 +ãªãŠï¼Œè¡¨ç¤ºã«ã¤ã„ã¦ã¯ï¼Œ\hyperlink{execcmdc}{ExeccmdC()} ã‚’å‚ç…§ã®ã“ã¨ã€‚ -　Cindyscriptã®drawpoly() ，ãŠã‚ˆã³KeTCindyã®Listplot(),Spaceline() ã§ã®ç‚¹ãƒªã‚¹ãƒˆã¯ï¼Œæ—¢å˜ã®å¹¾ä½•ç‚¹ã§ãªã座標ã§ã‚‚よã„。Listplot() ,Spaceline() ã®ç‚¹ãƒªã‚¹ãƒˆãŒå¿…ãšé–‰ã˜ãŸãƒªã‚¹ãƒˆï¼ˆ[A,B,C,D,A]）ã§ãªã‘ã‚Œã°ãªã‚‰ãªã„ã®ã«å¯¾ã—，Cindyscriptã®drawplory()ã§ã¯é–‰ã˜ã¦ã„ã‚‹å¿…è¦ã¯ãªã„。drawpoly([A,B,C,D])ã§ã‚ˆã„。 -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\hypertarget{skeletonparadata}{} +\item[関数] Skeletonparadata(name,PDリスト,PDリスト,option) +\item[機能] 陰線処ç†ï¼ˆã‚¹ã‚±ãƒ«ãƒˆãƒ³å‡¦ç†ï¼‰ã‚’ãŠã“ãªã† +\item[説明] æç”»ã•ã‚Œã¦ã„ã‚‹ç·šã¨è»¸ã«ã¤ã„ã¦é™°ç·šå‡¦ç†ã‚’ãŠã“ãªã†ã€‚ -\subsubsection{１辺を与ãˆã¦æ£å¤šè§’形をæã} -　\\ -　平é¢ä¸Šã§ï¼Œä¸Žãˆã‚‰ã‚ŒãŸç·šåˆ†ABを１辺ã¨ã™ã‚‹æ£å¤šè§’形をæã。 +第2引数ã®ç·šï¼ˆãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼‰ãŒï¼Œç¬¬3引数ã®ç·šï¼ˆãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼‰ã«ã‚ˆã£ã¦éš ã•ã‚Œã‚‹éƒ¨åˆ†ã‚’消去ã™ã‚‹ã€‚第2，第3引数をçœç•¥ã—ãŸå ´åˆã¯ï¼Œã™ã¹ã¦ã®ç·šã«ã¤ã„ã¦ï¼Œäº’ã„ã®é™°ç·šå‡¦ç†ã‚’ãŠã“ãªã†ã€‚optionã§æ¶ˆåŽ»ã™ã‚‹éƒ¨åˆ†ã®é•·ã•ã‚’指定ã§ãる。 -線分ABã¯ï¼ŒCinderellaã®ä½œå›³ãƒ„ールãªã©ã§æã‹ã‚Œã¦ã„ã‚‹ã‚‚ã®ã¨ã™ã‚‹ã€‚ãŸã ã—，線分ã§ãªã，両端ã®ç‚¹ãŒä¸Žãˆã‚‰ã‚Œã¦ã„ã‚‹ã ã‘ã§ã‚‚よã„。点A,BãŒè¤‡ç´ å¹³é¢ä¸Šã«ã‚ã‚‹ã‚‚ã®ã¨ã—ã¦ï¼Œå¤šè§’å½¢ã®é ‚点ã®ä½ç½®ã‚’計算ã™ã‚Œã°ã‚ˆã„。 +\vspace{\baselineskip} +ã€ä¾‹ã€‘螺旋ã¨ç·šåˆ†ï¼Œåº§æ¨™è»¸ã®é™°ç·šå‡¦ç† -Cindyscriptã®Drawスãƒãƒƒãƒˆã«ï¼Œæ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トを書ã。(n=5ã§æ£äº”角形をæã) +次ã®ã‚ˆã†ã«èžºæ—‹ã¨ç·šåˆ†ï¼Œåº§æ¨™è»¸ã‚’æã„ã¦ãŠã。 \begin{verbatim} -　n=5; -　pti=[complex(A),complex(B)]; -　th=2*pi/n; -　repeat(n-2,s, -　　z1=pti_s; -　　z2=pti_(s+1); -　　z=z2+(z2-z1)*(cos(th)+i*sin(th)); -　　pti=append(pti,z); -　); -　pt=apply(pti,gauss(#)); -　pt=append(pt,A.xy); -　Listplot("1",pt); + Xyzax3data("","x=[-5,5]","y=[-5,4]","z=[-5,3]"); + Putpoint3d(["A",[0,-2,-2]],"fix"); + Putpoint3d(["B",[-1,1,3]],"fix"); + Spaceline([A,B]); + Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=100"]); \end{verbatim} -ptiã¯ï¼Œå„é ‚ç‚¹ã«å¯¾å¿œã™ã‚‹è¤‡ç´ æ•°ã®ãƒªã‚¹ãƒˆï¼ŒptãŒå„é ‚ç‚¹ã®åº§æ¨™ã®ãƒªã‚¹ãƒˆã§ã‚る。 -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +座標軸ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ ax3d，線分㯠AB3d，螺旋㯠sc3d1 ã§ã‚る。ã“ã‚Œã«å¯¾ã—， +\hspace{10mm} \verb|Skeletonparadata("1");| -\subsubsection{接線を引ã} -　\\ -曲線上ã®ç‚¹ã«ãŠã‘る接線を引ã -\begin{tabbing} -12\=34567890123456789\=\kill\\ + æç”»ã•ã‚Œã¦ã„ã‚‹ç·šã¨è»¸ã«ã¤ã„ã¦é™°ç·šå‡¦ç†ã‚’ãŠã“ãªã†ã€‚（図左） -\>ã€Cinderella】　\>幾何è¦ç´ ã®ï¼’次曲線ã®å ´åˆï¼Œã€Œç‚¹ã®æ¥µç·šã‚’åŠ ãˆã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/polar-of-point.png}　　 を用ã„ã‚‹\\ -\>ã€Cindyscript】　\>微分ã—ã¦æŽ¥ç·šã®æ–¹ç¨‹å¼ã‚’求ã‚ã¦ç›´ç·šã‚’引ã\\ - \>ã€KeTCindy】　　\>åŒä¸Šã€€\\ -\end{tabbing} -　Cinderellaã®ä½œå›³ãƒ„ールã§æã„ãŸï¼’次曲線ã®å ´åˆã¯ï¼Œæ›²ç·šä¸Šã®ç‚¹ã«ãŠã„ã¦ã€Œç‚¹ã®æ¥µç·šã‚’åŠ ãˆã‚‹ã€ãƒ„ールã§æŽ¥ç·šãŒå¼•ã‘る。ã“ã®ãƒ„ールã¯ï¼ŒåˆæœŸçŠ¶æ…‹ã§ã¯ç”»é¢ã«å‡ºã¦ã„ãªã„ã®ã§ï¼Œãƒ¢ãƒ¼ãƒ‰ãƒ¡ãƒ‹ãƒ¥ãƒ¼ã®ã€Œç›´ç·šã€ã‹ã‚‰é¸ã¶ã€‚ã¾ãŸï¼Œã€Œè¨å®šã€ãƒ¡ãƒ‹ãƒ¥ãƒ¼ã®ã€Œä¸Šã®ãƒ„ールãƒãƒ¼ã‚’カスタマイズã™ã‚‹ã€ã§ï¼Œã™ã¹ã¦ã®ãƒ„ールを表示ã™ã‚Œã°ç”»é¢ä¸Šã«å‡ºã‚‹ã€‚ - -　Cinderellaã®ä½œå›³ãƒ„ールã§æã‘ãªã„曲線ã®å ´åˆã¯æ–¹ç¨‹å¼ã‚’求ã‚ã¦ç›´ç·šã‚’引ãã“ã¨ã«ãªã‚‹ã€‚微分をã™ã‚‹é–¢æ•°ã¯ï¼ŒCindyscriptã§ã¯ d(関数,変数)，KeTCindyã§ã¯Derivative(関数, 変数,値) を用ã„る。\\ - -例：３次関数 $f(x)=x^3-4x$ 上ã®ç‚¹$(1,-3)$ã«ãŠã‘る接線を引ãCindyscriptã¨KeTCindyã®çµ„ã¿åˆã‚ã›\\ -　　f(x):=x\verb|^| 3-4*x;\\ -　　g(x0,x):=d(f(\#),x0)*(x-x0)+f(x0);\\ -　　p1=[1,-3];\\ -　　p2=[2,g(1,2)];\\ -　　plotdata("1","x\verb|^| 3-4*x","x");\\ -　　Lineplot("1",[p1,p2]);\\ -　\\ -　ã“ã®ã‚¹ã‚¯ãƒªãƒ—トã§ã¯ï¼Œg(x0,x)を点$(x_0,f(x_0))$ã«ãŠã‘る接線ã®æ–¹ç¨‹å¼ã¨ã—ã¦ã„る。\\ -　ã¾ãŸï¼ŒæŽ¥ç‚¹ã‚’インタラクティブã«æ±ºã‚ã‚‹ã«ã¯ï¼Œï¼’点A,Bを作図ã—ã¦ãŠã\\ -　\\ -　　Deffun("f(x)",["regional(y)","y=x\verb|^|3-4*x","y"]);\\ -　　coef=Derivative("f(x)","x",A.x);\\ -　　A.y=f(A.x);\\ -　　B.y=coef*(B.x-A.x)+A.y;\\ -　　Plotdata("1","f(x)","x");\\ -　　Lineplot([A,B]);\\ - -　ã¨ã—ã¦ï¼ŒæŽ¥ç‚¹Aをドラッグã—ã¦ä½ç½®æ±ºã‚ã‚’ã™ã‚‹ã“ã¨ãŒã§ãる。\\ -　\\ -　＜注＞\\ -　　　　Deffun("f(x)",["regional(y)","y=x\verb|^|3-4*x","y"]);\\ -　　ã¯\\ -　　　　f(x):=x\verb|^| 3-4*x;\\ -　　ã§ã‚‚よã„。\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} -\subsection{円ã®ä½œå›³} -\subsubsection{円をæã} +\hspace{10mm} \verb|Skeletonparadata("1",[2]);| -\begin{tabbing} -12\=34567890123456789\=\kill\\ + é‡ãªã£ãŸéƒ¨åˆ†ã®ç©ºãã‚’2ã«ã™ã‚‹ã€‚（図ä¸å¤®ï¼‰ + +\hspace{10mm} \verb|Skeletonparadata("1",["AB3d","ax3d"],["sc3d1"]);| + +螺旋ã«ã‚ˆã£ã¦éš れる部分ã ã‘消去ã™ã‚‹ã€‚（図å³ï¼‰ -\>ã€Cinderella】　\>ã€Œå††ã‚’åŠ ãˆã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-circle.png} を用ã„ã‚‹\\ -\>ã€Cindyscript】　\>drawcircle([a,b],r)\\ - \>ã€KeTCindy】　　\>Circledata([A,B])，Circledata(name,[[a,b],[c,d]])\\ -\end{tabbing} -　Cinderellaã®å††ã‚’æãツールã¯ï¼“種類ã‚ã‚‹ãŒï¼Œã‚ã¨ã§TeXã«æ›¸ã出ã™ãªã‚‰ã°ã€Œå††ã‚’åŠ ãˆã‚‹ã€ãƒ„ールãŒã‚ˆã„。ä¸å¿ƒã‹ã‚‰ãƒ‰ãƒ©ãƒƒã‚°ã™ã‚‹ã¨å††å‘¨ä¸Šã«ç‚¹ãŒã§ãる。ã“ã®ï¼’点を使ã£ã¦Circledata([A,B]) ã§æ›¸ã出ã™ã“ã¨ãŒã§ãる。TeXã«æ›¸ã出ã™å¿…è¦ãŒãªã„補助円ãªã©ã§ã‚ã‚Œã°ï¼Œã€ŒåŠå¾„付ãå††ã‚’åŠ ãˆã‚‹ã€ \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/circle-by-radius.png} ãŒç°¡ä¾¿ã€‚åŠå¾„を一定ã«ã™ã‚‹ï¼ˆå††å‘¨ãƒ‰ãƒ©ãƒƒã‚°ã§å¤§ãã•ãŒå¤‰ã‚らãªã„よã†ã«ã™ã‚‹ï¼‰ã®ã§ã‚ã‚Œã°ï¼Œã€Œå›ºå®šã—ãŸåŠå¾„ã®å††ã‚’æãã€ãƒ„ールを用ã„る。Cinderellaã®å††ã‚’æãツールã§æã„ãŸå††ã¯ï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã®ã€Œç‰¹åˆ¥ãªè¡¨ç¤ºæ–¹æ³•ã€ã§ç·šç¨®ã‚’è¨å®šã§ãる。 +\begin{center} \input{Fig/skeletonparadata01} \input{Fig/skeletonparadata02} + \input{Fig/skeletonparadata03} \end{center} -Cindyscript ã§ã¯ï¼Œä¸å¿ƒã¨åŠå¾„を指定ã—ã¦å††ã‚’æã。drawcircle([a,b],r) 㯠[a,b] ãŒä¸å¿ƒã®åº§æ¨™ï¼Œr ãŒåŠå¾„（実数）。ä¸å¿ƒã¯ï¼ŒCinderellaã®ä½œå›³ãƒ„ールã§ã¨ã£ãŸç‚¹Aã‚’ä¸å¿ƒã¨ã™ã‚‹å ´åˆã¯ï¼Œdrawcircle(A,r)。 +ã“ã®ã»ã‹ï¼Œ -KeTCindyã®Circledata([A,B])ã¯ï¼Œä¸å¿ƒAã§ç‚¹Bを通る円をæã。A,Bを座標ã«ã™ã‚‹å ´åˆã¯ï¼ŒnameãŒå¿…è¦ã€‚ä¸å¿ƒAã§åŠå¾„rã®å††ã‚’æãã®ã§ã‚ã‚Œã°ï¼Œåº§æ¨™æŒ‡å®šã«ãªã‚‹ã®ã§ï¼ŒCircledata("1",[A,A+[3,0]]) ã¾ãŸã¯ Circledata("1",[A.xy,A.xy+[3,0]]) ã¨ã™ã‚‹ã€‚ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +\hspace{10mm} \verb|Skeletonparadata("1",["AB3d","ax3d"],["sc3d1"],[2]);| -\subsection{é ˜åŸŸã‚’å¡—ã‚‹} -\subsubsection{円ã®å†…部を塗る} -\begin{tabbing} -12\=34567890123456789\=\kill\\ +\hspace{10mm} \verb|Skeletonparadata("1",["AB3d"],["ax3d","sc3d1"]);| -\>ã€Cinderella】　\>ã€Œå††ã‚’åŠ ãˆã‚‹ã€ãƒ„ールを用ã„ãŸã®ã¡ï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§è¨å®š\\ -\>ã€Cindyscript】　\>fillcircle(A,r)　\\ - \>ã€KeTCindy】　　\>Shade(PD)\\ -\end{tabbing} -　画é¢ä¸Šã§è‰²ã‚’å¡—ã‚‹ã ã‘ãªã‚‰ã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã®ã€Œè¡¨ç¤ºæ–¹æ³•ã€ã§è‰²å¡—ã‚Šã‚’ã™ã‚‹ã®ãŒç°¡ä¾¿ã€‚é€æ˜Žåº¦ã‚‚è¨å®šã§ãる。TeXã®å›³ç‰ˆã§ã‚‚é ˜åŸŸã‚’å¡—ã‚‹ã®ã§ã‚ã‚Œã°ï¼ŒCircledata()ã§å††ã‚’æã„ãŸï¼ˆãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’作æˆï¼‰ã®ã¡ï¼ŒShade()ã§è‰²ã‚’塗る。ã“ã“ã§è‰²æŒ‡å®šã‚’ã™ã‚Œã°ç”»é¢ã«ã‚‚åæ˜ ã•ã‚Œã‚‹ã€‚\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +ã‚‚å¯èƒ½ã§ã‚る。 +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{\baselineskip} -\subsubsection{多角形ã®å†…部を塗る} +\hypertarget{spacecurve}{} +\item[関数] Spacecurve(name,å¼,定義域,options) +\item[機能] 空間曲線をæã +\item[説明] 媒介変数ã§è¡¨ã•ã‚ŒãŸæ›²ç·šã‚’æã。optionã¯è§£åƒåº¦ Num -\begin{tabbing} -12\=34567890123456789\=\kill\\ +\vspace{\baselineskip} +ã€ä¾‹ã€‘螺旋をæã -\>ã€Cinderella】　\>ã€Œå¤šè§’å½¢ã‚’åŠ ãˆã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/polygon.png} を用ã„る　\\ -\>ã€Cindyscript】　\>fillpoly(点リスト)\\ - \>ã€KeTCindy】　　\>Shade(PD)\\ -\end{tabbing} -　Cinderellaã®æ画ツールã®å¤šè§’形ツールã¯ï¼Œæ—¢å˜ã®ç‚¹ã‚’çµã‚“ã§å¤šè§’形を作り色塗りをã™ã‚‹ã€‚ +\verb|Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=100"]);| + +\vspace{\baselineskip} + \begin{center} \input{Fig/rasen} \end{center} -Cindyscriptã§ã®ç‚¹ãƒªã‚¹ãƒˆã¯ï¼Œæ—¢å˜ã®å¹¾ä½•ç‚¹ã§ãªã座標ã§ã‚‚よã„。点リストã¯ï¼Œå§‹ç‚¹ã¨çµ‚点をçµã¶ã®ã§é–‰ã˜ã¦ã„ã‚‹å¿…è¦ã¯ãªã„。([A,B,C,D]) +\hypertarget{spaceline}{} +\item[関数] Spaceline(name,list) +\item[機能] 折れ線をæã +\item[説明] 点ã®å称ã¾ãŸã¯åº§æ¨™ã®ãƒªã‚¹ãƒˆã‚’与ãˆã¦æŠ˜ã‚Œç·šã‚’æã。平é¢ã§ã® Listplot() ã«ã‚ãŸã‚‹ã€‚ -　TeXã«æ›¸ã出ã™ã®ã§ã‚れ㰠Shade()を用ã„る。\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +options ã¯ç·šç¨®ï¼ˆdr,da,do） +\vspace{\baselineskip} +ã€ä¾‹ã€‘ã„ãã¤ã‹ç¤ºã™ã€‚ -\subsubsection{曲線ã§å›²ã¾ã‚ŒãŸé ˜åŸŸã‚’å¡—ã‚‹} -\begin{tabbing} -12\=34567890123456789\=\kill\\ +・Spaceline("1",[[2,5,1],[4,2,3]]); 指定ã•ã‚ŒãŸ2点をçµã‚“ã 線分をæã。 - \>ã€KeTCindy】　　\>Shade(PD)\\ -\end{tabbing} -　 Shade()を用ã„ã¦é ˜åŸŸã‚’塗る。Cinderellaã®ç”»é¢ã«ã‚‚åæ˜ ã•ã‚Œã‚‹ã€‚\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +・Spaceline("2",[A,B,C,A]); 作図ã•ã‚Œã¦ã„ã‚‹2点A,B,Cã‚’çµã‚“ã 三角形をæã。 -\subsubsection{é ˜åŸŸã‚’æ–œç·šã§ç¤ºã™} +・節点を表示ã™ã‚‹å ´åˆã¯ï¼ŒPointdata3d() ã§æç”»ã™ã‚‹ã€‚ -\begin{tabbing} -12\=34567890123456\=\kill\\ - \>ã€KeTCindy】　　\>Hatchdata(name,æ–¹å‘,PD)\\ -\end{tabbing} -　 é ˜åŸŸã‚’æ–œç·šã§å¡—る。Cinderellaã®ç”»é¢ã«ã‚‚åæ˜ ã•ã‚Œã‚‹ã€‚Scilabã¨ãƒ‡ãƒ¼ã‚¿ã‚’ã‚„ã‚Šå–ã‚Šã—ã¦ãƒãƒƒãƒãƒ‡ãƒ¼ã‚¿ã‚’作るã®ã§ï¼Œãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ«ï¼ˆã‚·ã‚§ãƒ«ãƒ•ã‚¡ã‚¤ãƒ«ï¼‰ãŒè£ã§å®Ÿè¡Œã•ã‚Œã‚‹ã€‚\\\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +\begin{layer}{150}{0} +\putnotese{80}{10}{ \input{Fig/oresenex01}} +\end{layer} +\begin{verbatim} + pt=[[2,0,0],[2,0,2],[2,2,2],[0,2,2],[0,4,2],[0,4,4]]; + Spaceline("1",pt); + Pointdata3d("1",pt,["Size=3"]); +\end{verbatim} +点ã®åå‰ãŒå¿…è¦ã§ã‚れ㰠-\subsubsection{é ˜åŸŸã‚’ç´°ã‹ã„点ã§åŸ‹ã‚ã‚‹} +\verb|pname=apply(1..6,"P"+text(#));| -\begin{tabbing} -12\=34567890123456\=\kill\\ +ã®ã‚ˆã†ã«ã—ã¦ï¼Œåå‰ãƒªã‚¹ãƒˆã‚’作るã“ã¨ãŒã§ãる。 - \>ã€KeTCindy】　　\>Dotfilldata(name,æ–¹å‘,PD)\\ -\end{tabbing} -　曲線ã§å›²ã¾ã‚ŒãŸé ˜åŸŸã‚’斜線ã§å¡—ã‚‹ã‹ã‚ã‚Šã«ç´°ã‹ã„点ã§åŸ‹ã‚る。 使ã„æ–¹ã¯Hatchdata() ã¨åŒæ§˜ã€‚\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{\baselineskip} +\hypertarget{translatedata3d}{} +\item[関数] Translatedata3d(name,PD,平行移動é‡) +\item[機能] 空間プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’平行移動 +\item[説明] PDã§è¡¨ã•ã‚Œã‚‹å›³å½¢ã‚’，平行移動ã™ã‚‹ã€‚ +\vspace{\baselineskip} +ã€ä¾‹ã€‘曲線 sc3d1 ã‚’y軸方å‘ã«2ã ã‘平行移動ã™ã‚‹ã€‚ -\subsection{関数ã®ã‚°ãƒ©ãƒ•ãƒ»æ›²ç·š} +\verb|Translatedata3d("1",["sc3d1"],[0,2,0]);| + +çµæžœã¨ã—ã¦ï¼Œã‚‚ã¨ã®æ›²ç·šã¨å¹³è¡Œç§»å‹•ã—ãŸæ›²ç·šã®2ã¤ãŒæã‹ã‚Œã‚‹ã€‚ -\subsubsection{関数ã®ã‚°ãƒ©ãƒ•ã‚’æã} -\begin{tabbing} -12\=34567890123456789\=\kill\\ +\vspace{\baselineskip} +ã€ä¾‹ã€‘多é¢ä½“ã®å¹³è¡Œç§»å‹•\\ +VertexEdgeFace() ã§æã„ãŸå¤šè§’å½¢ã¯ã“ã®é–¢æ•°ã§ã¯å¹³è¡Œç§»å‹•ã§ããªã„ã®ã§ï¼Œé¢ãƒ‡ãƒ¼ã‚¿ã‚’直接æ“作ã—ã¦å¹³è¡Œç§»å‹•ã‚’è¡Œã†ã€‚ + +ãŸã¨ãˆã°ï¼Œå°æž—・鈴木・三谷ã«ã‚ˆã‚‹å¤šé¢ä½“データ polyhedrons obj を用ã„ã¦æ£å…«é¢ä½“ã‚’æãå ´åˆï¼Œæ¬¡ã®ã‚ˆã†ã«ã™ã‚‹ã€‚$y$軸方å‘ã«2ã ã‘平行移動ã™ã‚‹å ´åˆã§ã‚る。 -\>ã€Cindyscript】　\>関数を定義ã—ã¦ï¼Œplot()ã§è¡¨ç¤ºã™ã‚‹ã€€\\ - \>ã€KeTCindy】　　\>（関数を定義ã—ã¦ï¼‰Plotdata()ã§è¡¨ç¤ºã™ã‚‹ã€€\\ -\end{tabbing} +\begin{verbatim} + Setdirectory( Dirhead+"/data/polyhedrons_obj"); + phd=Readobj("r02.obj",["size=2"]); + Setdirectory(Dirwork); + dn=length(phd_1); + repeat(dn,s,phd_1_s=phd_1_s+[0,2,0]); + VertexEdgeFace("1",phd,["Edg=nogeo"]); +\end{verbatim} + \begin{center} \input{Fig/translate01} \end{center} -　Cindyscriptã§ã¯ï¼Œf(x):=å¼ ã®æ›¸å¼ã§é–¢æ•°ã‚’定義ã—，plot(fx)) ã§ã‚°ãƒ©ãƒ•ã‚’æãã“ã¨ãŒã§ãる。関数ã¯ï¼Œif関数ã«ã‚ˆã‚‹å ´åˆåˆ†ã‘ã‚‚å¯èƒ½ã€‚ã¾ãŸï¼Œã“ã®é–¢æ•°æ¦‚念ã¯æ•°å¦é–¢æ•°ã§ã¯ãªã， プãƒã‚°ãƒ©ãƒŸãƒ³ã‚°ã«ãŠã‘る関数ãªã®ã§ï¼Œä¸€é€£ã®æ“作を関数ã¨ã—ã¦å®šç¾©ã—ã¦å®Ÿè¡Œã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ -　KeTCindyã§ã¯ï¼ŒDeffun() ã§é–¢æ•°ã‚’定義ã—ã¦ï¼ŒPlotdata()ã§ã‚°ãƒ©ãƒ•ã‚’æã。Deffunã§ã¯ï¼Œifæ–‡ã«ã‚ˆã‚‹æ¡ä»¶åˆ†å²ã‚‚å¯èƒ½ã ãŒï¼Œifã®ãƒã‚¹ãƒˆã¯ã§ããªã„。\\ -　三角関数ãªã©ã®çµ„ã¿è¾¼ã¿é–¢æ•°ã«ã¤ã„ã¦ã¯ï¼Œå®šç¾©ã¯ä¸è¦ã§ï¼Œãã®ã¾ã¾ plot() ã‚‚ã—ã㯠Plotdata()ã§ã‚°ãƒ©ãƒ•ã‚’æãã“ã¨ãŒã§ãる。ãŸã ã—，Cindyscriptã«ã‚ã£ã¦ã‚‚KeTCindyã«ã¯ãªã„逆三角関数(arctanãªã©)ã¯Cindyscriptã§ç”»é¢ã«ã¯è¡¨ç¤ºã§ãã‚‹ãŒTeXã«ã¯ã§ããªã„。\\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +\hypertarget{translatepoint3d}{} +\item[関数] Translatepoint3d(座標，平行移動é‡) +\item[機能] 空間点を平行移動 +\item[説明] 点を平行移動ã™ã‚‹ã€‚ -\subsubsection{媒介変数表示ã®æ›²ç·šã‚’æã} +\vspace{\baselineskip} +ã€ä¾‹ã€‘点A(1,0,0) ã‚’(-1,1,1)ã ã‘平行移動ã—ãŸç‚¹ã‚’Bã¨ã™ã‚‹ã€‚点Aã®ç©ºé–“座標㯠A3d ã§è¡¨ã•ã‚Œã‚‹ã€‚ +\begin{verbatim} + Putpoint3d(["A",[1,0,0]],"fix"); + pt=Translatepoint3d(A3d,[-1,1,1]); + Putpoint3d(["B",pt],"fix"); +\end{verbatim} +\vspace{\baselineskip} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\begin{tabbing} -12\=34567890123456789\=\kill\\ +\hypertarget{vertexedgeface}{} +\item[関数] VertexEdgeFace(name,é¢ãƒ‡ãƒ¼ã‚¿,options) +\item[機能] 多é¢ä½“ã®é¢ãƒ‡ãƒ¼ã‚¿ã‚’用ã„ã¦å¤šé¢ä½“ã‚’æã +\item[説明] é¢ãƒ‡ãƒ¼ã‚¿ã¯ï¼Œé ‚点リストã¨ï¼Œé¢ãƒªã‚¹ãƒˆã‹ã‚‰ãªã‚‹ã€‚é¢ãƒªã‚¹ãƒˆã¯ï¼Œå„é¢ã‚’構æˆã™ã‚‹é ‚点を，外å´ã‹ã‚‰è¦‹ã¦å時計回り（左回り）ã«ä¸¦ã¹ãŸãƒªã‚¹ãƒˆã§ã‚る。 -\>ã€Cindyscript】　\>plot([f(t),g(t)])\\ - \>ã€KeTCindy】　　\>Paramplot(name,å¼,定義域)　\\ - \>ã€KeTCindy3D】 \>Spacecurve(name,å¼,定義域)　\\ -\end{tabbing} -　ã„ãšã‚Œã‚‚optionã§ç·šç¨®ãªã©ã®æŒ‡å®šãŒã§ãる。\\ -　平é¢ã«ãŠã‘る曲線ã§ï¼ŒTimer Tickスãƒãƒƒãƒˆã«æ›¸ã„ã¦ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã‚’è¡Œã†å ´åˆã¯ï¼ŒCindyscriptã® plot()ã®æ–¹ã‚’勧ã‚る。シンプルãªåˆ†ï¼Œå®Ÿè¡Œé€Ÿåº¦ã«ãŠã„ã¦æœ‰åˆ©ã§ã‚る。\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +ãŸã¨ãˆã°ï¼Œå››é¢ä½“ABCDã®é¢ãƒ‡ãƒ¼ã‚¿ã¯ï¼Œ[[A,B,C,D],[[1,2,3],[1,2,4],[1,3,4],[2,3,4]]] ã¨ãªã‚‹ã€‚ +4点A,B,C,Dã‚’ã¨ã£ã¦ãŠã，ã“ã®ãƒªã‚¹ãƒˆã‚’引数ã«ä¸Žãˆã‚‹ã¨ï¼Œå››é¢ä½“ã®è¾ºãŒæã‹ã‚Œã‚‹ã€‚ -\subsubsection{２次曲線をæã} -　放物線，楕円，åŒæ›²ç·šã‚’æã。 -\begin{tabbing} -12\=34567890123456789\=\kill\\ +ã“ã®ã¨ã，option ãŒãªã‘ã‚Œã°ï¼ŒCinderellaã®å¹¾ä½•è¦ç´ ã¨ã—ã¦è¾ºãŒæã‹ã‚Œã‚‹ãŒï¼Œãã‚Œã ã‘ã§ã¯TeXã«ã¯æ›¸ã出ã•ã‚Œãªã„ã®ã§æ³¨æ„ãŒå¿…è¦ã§ã‚る。(変数未定義ã®ã‚¨ãƒ©ãƒ¼ã«ãªã‚‹) TeXã«æ›¸ã出ã™ã«ã¯ï¼Œoptionã¨ã—㦠["Edg=nogeo"] ã‚’ã¤ã‘る。ã“ã®ã¨ãã¯å„辺ã¯å¹¾ä½•è¦ç´ ã«ãªã‚‰ãªã„。 -\>ã€Cinderella】　\>焦点ãªã©ã‚’作図ã—ã¦ãã‚Œãžã‚Œã®ä½œå›³ãƒ„ールを用ã„ã‚‹\\ -\>ã€Cindyscript】　\>関数もã—ãã¯åª’介変数ã§è¡¨ã—ã¦plot()ã§æã\\ - \>ã€KeTCindy】　　\>Plotdata() ã‚‚ã—ã㯠Paramplot() ,Parabolaplot() ãªã©ã§æã\\ -\end{tabbing} -　ã“れらã®æ›²ç·šã‚’æã方法ã¯ä½•é€šã‚Šã‹ã‚る。全体ã§ã¯ãªã一部分をæãå ´åˆã¯Cinderellaã®ä½œå›³ãƒ„ールã§ã¯ã§ããªã„ã®ã§plot()ã¾ãŸã¯ Paramplot()ã§æã。 +ã¾ãŸï¼Œ"Pt=free" optionã‚’ã¤ã‘ã‚‹ã¨ï¼Œé ‚点ã¯è‡ªç”±ç‚¹ã¨ãªã‚Šï¼Œãƒžã‚¦ã‚¹ãƒ‰ãƒ©ãƒƒã‚°ã§å‹•ã‹ã™ã“ã¨ãŒã§ãる。 -　ã“れらã®æ›²ç·šä¸Šã«ç‚¹ã‚’ã¨ã‚Šï¼ŒæŽ¥ç·šã‚’引ã„ã¦ã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ã«å‹•ã‹ã™ã‚ˆã†ãªå ´åˆã¯ï¼ŒCinderellaã®ä½œå›³ãƒ„ールã§æãã¨ã‚ˆã„。点をインシデントã«ã™ã‚‹ã®ãŒå®¹æ˜“ã§ã‚り，接線も簡å˜ã«å¼•ã‘，ã•ã‚‰ã«ãã®æŽ¥ç·šã‚‚幾何è¦ç´ ã¨ãªã‚‹ã®ã§éƒ½åˆãŒã‚ˆã„。 +生æˆã•ã‚Œã‚‹ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ï¼Œ -KeTCindyã§ã¯ï¼ŒPlotdata() ã§åª’介変数表示ã®å¼ã‚’与ãˆã‚‹ã‹ï¼ŒParabolaplot(),Ellipsplot(),Hyperbolaplot() ã§ç„¦ç‚¹ãªã©ã‚’与ãˆã¦æã。 +phv3dï¼šé ‚ç‚¹ã®ãƒªã‚¹ãƒˆ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +phe3d：辺ã®ãƒªã‚¹ãƒˆ +phf3d：é¢ãƒªã‚¹ãƒˆ -\subsubsection{陰関数ã®ã‚°ãƒ©ãƒ•ã‚’æã} +ãªãŠï¼Œãã‚Œãžã‚Œæœ«å°¾ã«nameãŒä»˜åŠ ã•ã‚Œã‚‹ã€‚ -\begin{tabbing} -12\=34567890123456\=\kill\\ +\vspace{\baselineskip} +ã€ä¾‹ã€‘：æ£å››é¢ä½“ã‚’æã +\begin{verbatim} + Putpoint3d("A",2*[-1,-1/sqrt(3),0],"fix"); + Putpoint3d("B",2*[1,-1/sqrt(3),0],"fix"); + Putpoint3d("C",2*[0,sqrt(3)-1/sqrt(3),0],"fix"); + Putpoint3d("D",2*[0,0,sqrt(3)],"fix"); + phd=Concatobj([[A,B,C],[A,B,D],[A,C,D],[B,C,D]]); + VertexEdgeFace("1",phd,["Edg=nogeo"]); +\end{verbatim} + \begin{center} \input{Fig/vertex01} \end{center} - \>ã€KeTCindy】　　\>Implicitplot()\\ -\end{tabbing} -　陰関数ã§ä¸Žãˆã‚‰ã‚ŒãŸæ›²ç·šã‚’æã方法ã¯Cinderella，Cindyscriptã«ã¯ãªã„。 -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\hypertarget{wireparadata}{} +\item[関数] Wireparadata(name,PD,å¼,æ•´æ•°,æ•´æ•°,optons) +\item[機能] 曲é¢ã®ãƒ¯ã‚¤ãƒ¤ãƒ•ãƒ¬ãƒ¼ãƒ を陰線処ç†ã—ã¦ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’作る。 +\item[説明] PDã¯ï¼Œç¬¬3引数ã®å¼ã§æã„ãŸãƒ¯ã‚¤ãƒ¤ãƒ•ãƒ¬ãƒ¼ãƒ モデルã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿å。第4，第5引数ã¯åˆ†å‰²ç·šã®æ•°ã€‚ +options ã«ã¯ "r","m","Wait=n" ãŒæŒ‡å®šã§ãる。Wait ã®åˆæœŸå€¤ã¯30。 -\subsubsection{プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’自作ã—ã¦è¡¨ç¤ºã™ã‚‹} -　\\ -　組ã¿è¾¼ã¿é–¢æ•°ã«ãªã„関数ãªã©ã‚’使ã£ã¦ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’自作ã—ã¦è¡¨ç¤ºã™ã‚‹ã«ã¯ï¼ŒCindyscriptã§ä½œæˆã—ãŸãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’Listplot() ã¾ãŸã¯ AddGraph()ã«æ¸¡ã—ã¦æç”»ã™ã‚‹ã€‚ãã‚Œãžã‚Œã®é …ã®ä¾‹ã‚’å‚ç…§ã®ã“ã¨ã€‚ + "r","m"ã«é–¢ã—ã¦ã¯ï¼Œã‚ªãƒ—ションãªã—ã¾ãŸã¯ï¼Œâ€â€ ã®ã¨ã + + i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る + + ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれをèªã¿è¾¼ã‚€ + + "m" ã®ã¨ã，強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚ + + "r" ã®ã¨ã，ã™ã§ã«ã‚るデータファイルをèªã¿è¾¼ã‚€ã€‚ + +曲é¢ã®é™°ç·šå‡¦ç†ã‚’è¡Œã†ã®ã§ï¼ŒSfbdparadata() ã¨ãƒšã‚¢ã§ä½¿ã†ã€‚ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +ã“ã®å‡¦ç†ã¯æ™‚é–“ãŒã‹ã‹ã‚‹ãŸã‚，ã“ã®é–¢æ•°ã‚’実行ã—ãŸçŠ¶æ…‹ã§ç”»é¢ä¸Šã®ã‚¹ãƒ©ã‚¤ãƒ€ã‚’å‹•ã‹ãã†ã¨ã™ã‚‹ã¨åå¿œãŒæ‚ªããªã‚‹ã€‚ãã“ã§ï¼ŒIsangle() を用ã„ã¦ï¼Œã‚¹ãƒ©ã‚¤ãƒ€ã®ç‚¹ã‚’é¸æŠžã—ã¦ã„ã‚‹ã¨ãã¯ãƒ¯ã‚¤ãƒ¤ãƒ•ãƒ¬ãƒ¼ãƒ モデルをæç”»ã™ã‚‹ã‚ˆã†ã«ã™ã‚‹ã¨ã‚ˆã„。 -\subsection{ãã®ä»–} +ã¾ãŸï¼Œã“ã®é–¢æ•°ã¯ãƒ‡ãƒ¼ã‚¿ã‚’作るã ã‘ãªã®ã§ï¼Œè¡¨ç¤ºã™ã‚‹ã«ã¯ \hyperlink{execcmdc}{ExeccmdC()} を用ã„る。 -\subsubsection{幾何è¦ç´ ã‚’éžè¡¨ç¤ºã«ã™ã‚‹} -æã„ãŸç‚¹ã‚„ç·šã‚’éžè¡¨ç¤ºã«ã™ã‚‹ã€‚ -\begin{tabbing} -12\=34567890123456\=\kill\\ +C言語ã®ç’°å¢ƒãŒãªã„å ´åˆã¯ï¼ŒExeccmdC() ãŒä½¿ãˆãªã„ã®ã§ï¼ŒWireparadataR(name,PD,å¼,æ•´æ•°,æ•´æ•°,optons1,optons2) を使ã†ã€‚options2ã«ã¯é™°ç·šã®è¡¨ç¤ºæ–¹æ³•ã«ã¤ã„㦠"nodisp" ã¾ãŸã¯ç·šç¨® を指定ã™ã‚‹ã€‚ åˆæœŸè¨å®šã¯"nodisp" 。options2ã®ã¿æŒ‡å®šã™ã‚‹ã¨ãã¯ï¼Œoptions1ã« [""] （空文å—）を書ã„ã¦ãŠã。 -\>ã€Cinderella】　\>インスペクタã®ã€Œè¡¨ç¤ºæ–¹æ³•ã€ã§ã€Œè¡¨ç¤ºã™ã‚‹ã€ã®ãƒã‚§ãƒƒã‚¯ã‚’切る　\\ -\>ã€Cindyscript】　\>幾何è¦ç´ ã®visibleプãƒãƒ‘ティをfalseã«ã™ã‚‹ã€€\\ - \>ã€KeTCindy】　　\>"notex" ã¾ãŸã¯ "nodisp" オプションをã¤ã‘ã‚‹ 　\\ -\end{tabbing} -　インスペクタã®è¡¨ç¤ºæ–¹æ³•ã€ã§ã€Œè¡¨ç¤ºã™ã‚‹ã€ã®ãƒã‚§ãƒƒã‚¯ã‚’切ã£ãŸå ´åˆï¼Œã€Œè¡¨ç¤ºã€ã«æˆ»ã™ã«ã¯ï¼Œã€Œè¡¨ç¤ºã€ãƒ¡ãƒ‹ãƒ¥ãƒ¼ã®ã€Œå¼ã«ã‚ˆã‚‹è¡¨ç¤ºã€ã‚’é–‹ã„ã¦ï¼Œè©²å½“ã®å¹¾ä½•è¦ç´ ã‚’é¸æŠžã—，インスペクタã§ã€Œè¡¨ç¤ºã™ã‚‹ã€ã®ãƒã‚§ãƒƒã‚¯ã‚’ã¤ã‘る。\\ -　幾何è¦ç´ ã‚’Cindyscriptã§éžè¡¨ç¤º/表示ã«ã™ã‚‹ã«ã¯ï¼ŒA.visible=false / true ã¨ã™ã‚‹ã€‚幾何è¦ç´ ã§ã¯ãªã„関数ã®ã‚°ãƒ©ãƒ•ãªã©ã¯ã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ã¯éžè¡¨ç¤ºã«ã§ããªã„。\\ -　KeTCindy ã® "notex" オプションã¯TeXã«å‡ºåŠ›ã—ãªã„。"nodisp"オプションã§ã¯ï¼Œç”»é¢ã«ã‚‚表示ã•ã‚Œãªã„。プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’作æˆã™ã‚‹ãŸã‚ã«ä½¿ã†ã€‚\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{\baselineskip} +ã€ä¾‹ã€‘å¼ã®ã‚¿ã‚¤ãƒ—別ã«ä¾‹ã‚’示ã™ã€‚ -\subsubsection{角ã«å°ã‚’ã¤ã‘ã‚‹} -角ã«å¼§ã¾ãŸã¯å¹³è¡Œå››è¾ºå½¢ã®è§’ã®å°ã‚’ã¤ã‘る。 -\begin{tabbing} -12\=34567890123456\=\kill\\ +\vspace{\baselineskip} +ã‚µãƒ‰ãƒ«é¢ -\>ã€Cinderella】　\>「角ã«å°ã‚’ã¤ã‘ã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/angle-mark.png} を用ã„る（弧ã®å½¢çŠ¶ã®ã¿ï¼‰\\ -\>ã€Cindyscript】　\>ãªã—\\ - \>ã€KeTCindy】　　\>Anglemark() , Paramark() を用ã„る　\\ -\end{tabbing} -　TeXã«å‡ºåŠ›ã—ãªã„ã®ã§ã‚ã‚Œã°ï¼Œã€Œè§’ã«å°ã‚’ã¤ã‘ã‚‹ã€ãƒ„ールを用ã„ã‚‹ã®ãŒç°¡ä¾¿ã€‚ãŸã ã—，平行四辺形ã®å°ã¯ã¤ã‘られãªã„。\\ -　角ã«å‘ãを示ã™çŸ¢å°ã‚’ä»˜åŠ ã™ã‚‹å ´åˆã¯ï¼ŒAnglemark()ã§æã„ã¦ãŠã，Arrowhead()ã§çŸ¢ã˜ã‚Šã‚’ã¤ã‘る。\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +\begin{layer}{150}{0} +\putnotese{85}{5}{ \input{Fig/wirepara1}} +\end{layer} +\begin{verbatim} + fd=["z=x^2-y^2","x=[-2,2]","y=[-2,2]"]; + if(Isangle(), + Sf3data("1",fd); + , + Startsurf(); + Sfbdparadata("1",fd); + Wireparadata("1","sfbd3d1",fd,4,5); + ExeccmdC("1"); + ); +\end{verbatim} +回転放物é¢ï¼šæ¬¡ã‚’変更 -\subsection{値ã®å–得・変æ›} -\subsubsection{角度を測る} +\begin{layer}{150}{0} +\putnotese{85}{10}{ \input{Fig/wirepara2}} +\end{layer} +\begin{verbatim} + fd=["z=4-(x^2+y^2)","x=r*cos(t)","y=r*sin(t)","r=[0,2]","t=[0,2*pi]","e"]; + Wireparadata("1","sfbd3d1",fd,5,7); +\end{verbatim} +\vspace{25mm} -\begin{tabbing} -12\=34567890123456789\=\kill\\ +çƒé¢ -\>ã€Cinderella】　\>「角度を測るã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/angle.png}を用ã„る。\\ -\>ã€Cindyscript】　\>arctan2(ベクトル)を用ã„ã‚‹\\ -\end{tabbing} -　Cinderellaã®ã€Œè§’度を測るã€ãƒ„ールã§ã¯ï¼Œç”»é¢ä¸Šã«è§’度ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã“ã®å€¤ã‚’スクリプトã§åˆ©ç”¨ã™ã‚‹ãŸã‚ã«ã¯ï¼Œãã®è˜åˆ¥åを用ã„る。è˜åˆ¥åã¯ï¼Œè¡¨ç¤ºãƒ¡ãƒ‹ãƒ¥ãƒ¼ã‹ã‚‰ã€Œå¼ã«ã‚ˆã‚‹è¡¨ç¤ºã€ã§å‡ºã‚‹å¹¾ä½•è¦ç´ ã®ä¸€è¦§è¡¨ã§åˆ¤æ–ã™ã‚‹ã€‚è˜åˆ¥åãŒÎ±0ã§ã‚ã‚Œã°ï¼Œå¤‰æ•°Î±0ã«è§’ã®å€¤ãŒå…¥ã£ã¦ã„ã‚‹ã¨è€ƒãˆã¦ã‚ˆã„。αã¯æ—¥æœ¬èªžå…¥åŠ›ãƒ¢ãƒ¼ãƒ‰ã§ã€Œã‚ã‚‹ãµãã€ã§å…¥åŠ›ã™ã‚‹ã€‚ãŸã¨ãˆã°ï¼Œdrawtext([1,1],α0) ã¨ã™ã‚Œã°ï¼Œ(1,1) ã®ä½ç½®ã«è§’度ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã“ã®ã¨ãã®è§’ã¯ä¸€èˆ¬è§’ã§ã‚り，点をドラッグã™ã‚‹ã¨360°以上ã®è§’ã‚„è² ã®è§’ã§è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã¾ãŸï¼Œè¡¨ç¤ºã¯åº¦æ•°æ³•ã§è¡Œã‚れるãŒï¼Œå‡¦ç†ã«ã‚ˆã£ã¦ã¯å¼§åº¦æ³•ã§ã®è¡¨ç¤ºã¨ãªã‚‹ã€‚\\ -　Cindyscriptã§è§’度をå–å¾—ã™ã‚‹ã«ã¯ï¼Œarctan2()を用ã„ã‚‹ã®ãŒã‚ˆã„。引数ã¯ãƒ™ã‚¯ãƒˆãƒ«ã§ï¼Œx軸ã®æ£ã®æ–¹å‘ã¨ã®ãªã™è§’ã‚’ −π 〜 Ï€ ã®ç¯„囲ã§å¼§åº¦æ³•ã§è¿”ã™ã€‚角ABCã®å ´åˆï¼Œth=arctan2(C.xy-B.xy)-arctan2(A.xy-B.xy) ã§å–å¾—ã§ãる。\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +ã“ã®ã‚¿ã‚¤ãƒ—ã§ã¯ï¼Œåª’介変数形å¼ã®è˜åˆ¥ã®ãŸã‚，先é ã« "p" ã‚’ã¤ã‘ã¦ãŠã。 -\subsubsection{２点間ã®è·é›¢ã‚’測る} +\begin{layer}{150}{0} +\putnotese{80}{0}{ \input{Fig/wirepara3}} +\end{layer} +\begin{verbatim} + fd=["p","x=2*sin(u)*cos(v)", + "y=2*sin(u)*sin(v)", + "z=2*cos(u)","u=[0,pi]", + "v=[0,2*pi]","s"]; + Sfbdparadata("1",fd); + Wireparadata("1","sfbd3d1",fd,12,12); +\end{verbatim} -\begin{tabbing} -12\=34567890123456\=\kill\\ +\vspace{8mm} +%\begin{center} \input{Fig/wirepara1} \input{Fig/wirepara2} \input{Fig/wirepara3} \end{center} -\>ã€Cindyscript】　\>dist(A,B) ã¾ãŸã¯ $|$A,B$|$　\\ - \>ã€KeTCindy3D】　\>dist3d(点，点)\\ -\end{tabbing} -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{\baselineskip} +ã€ä¾‹ã€‘çƒé¢ã§åº§æ¨™è»¸ã‚’陰線処ç†ã—，é¢ã®é™°ç·šã¯éžè¡¨ç¤ºã§è¡¨ã™ã€‚ -\subsubsection{数値を文å—ã«å¤‰æ›ã™ã‚‹} -関数ã®å¼•æ•°ã«æ–‡å—列ã¨ã—ã¦ä¸Žãˆã‚‹ãŸã‚ã«æ•°å€¤ã‚’æ–‡å—列ã«å¤‰æ›ã—ãŸã„å ´åˆãŒã‚る。ã“ã®ã‚ˆã†ãªå ´åˆã¯ï¼Œtext() 関数を用ã„る。引数ã¯å®Ÿæ•°ãƒ»è¤‡ç´ æ•°ã„ãšã‚Œã§ã‚‚å¯ã€‚\\ +\begin{layer}{150}{0} +\putnotese{70}{5}{ \input{Fig/wirepara4}} +\end{layer} -subsubsection{å°æ•°ç‚¹ã®æ¡æ•°ã‚’指定ã—ã¦è¡¨ç¤º} -\begin{tabbing} -12\=34567890123456\=\kill\\ +\begin{verbatim} + fd=["p","x=2*sin(u)*cos(v)", + "y=2*sin(u)*sin(v)", + "z=2*cos(u)", + "u=[0,pi]","v=[0,2*pi]","s"]; + if(Isangle(), + Sf3data("1",fd); + , + Startsurf(); + Sfbdparadata("1",fd); + Wireparadata("1","sfbd3d1",fd,12,12); + Crvsfparadata("1","ax3d","sfbd3d1",fd); + ret=ExeccmdC("1"); + forall(1..length(ret), + if(indexof(ret_#,"wireh")>0, + Changestyle3d([ret_#],["nodisp"]); + ); + ); + ); +\end{verbatim} +ã€ä¾‹ã€‘トーラスをæã -\>ã€Cinderella】　\>ãªã—　\\ -\>ã€Cindyscript】　\>format()関数を用ã„る　\\ - \>ã€KeTCindy】　　\>Textformat() 関数を用ã„ã‚‹\\ -\end{tabbing} -　Cinderellaã§ã¯ï¼Œå°æ•°ç‚¹ä»¥ä¸‹ã®æ¡æ•°ã¯ç¬¬ï¼•ä½ã‚’å››æ¨äº”å…¥ã—ã¦è¡¨ç¤ºã™ã‚‹ã®ãŒãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã§ã‚る。å°æ•°ç‚¹ä»¥ä¸‹ã®æ¡æ•°ã‚’指定ã™ã‚‹ã«ã¯ï¼ŒCindyscriptã§ã¯ format()関数，KeTCindydã§ã¯ Textformat()関数を用ã„る。Textformat()関数ã¯ï¼Œãƒªã‚¹ãƒˆã§ä¸ŽãˆãŸæ•°ã§ã‚‚処ç†ã§ãる。\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +å¼ã‚’次ã®ã‚ˆã†ã«å¤‰ãˆï¼Œè»¸ã¯éžè¡¨ç¤ºã«ã—ã¦ï¼Œ\verb|ExeccmdC("1",[],["nodisp"])| ã«ã™ã‚‹ã€‚ -\subsection{スライダを作る} -\subsubsection{線分スライダを作る} -変数ã®å€¤ã‚’インタラクティブã«æ±ºã‚るスライダを作る。 +\begin{verbatim} + fd=["p","x=(2+cos(u))*cos(v)","y=(2+cos(u))*sin(v)","z=sin(u)", + "u=[0,2*pi]","v=[0,2*pi]","s"]; +\end{verbatim} +\vspace{\baselineskip} + \begin{center} \input{Fig/wirepara5} \end{center} -ã¾ãšï¼ŒCinderellaã®ä½œå›³ãƒ„ールã§ï¼Œé©å½“ãªç·šåˆ†ï¼ˆã¾ãŸã¯ç›´ç·šï¼‰ã¨ï¼Œãã®ä¸Šã®ç‚¹ã‚’ã¨ã‚‹ã€‚ã“ã®ã¨ã，点ãŒç·šåˆ†ä¸Šã«ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã«ãªã‚‹ã‚ˆã†ã«ï¼Œç‚¹ã‚’線分上ã«ãƒ‰ãƒ©ãƒƒã‚°ã—ã¦ç·šåˆ†ãŒãƒã‚¤ãƒ©ã‚¤ãƒˆã—ãŸã¨ãã«ãƒžã‚¦ã‚¹ãƒœã‚¿ãƒ³ã‚’離ã™ã€‚ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{\baselineskip} +\hypertarget{xyzax3data}{} +\item[関数] Xyzax3data(name，ｘã®ç¯„囲，yã®ç¯„囲，zã®ç¯„囲,options) +\item[機能] 座標軸をæã +\item[説明] æç”»é¢ã«åº§æ¨™è»¸ã‚’æã，プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ ax3d を作æˆã™ã‚‹ã€‚nameã¯ç©ºæ–‡å—列ã§ã‚ˆã„。option ã¯æ¬¡ã®2ã¤ã€‚ -線分をAB，AB上ã®ç‚¹ã‚’Cã¨ã—ã¦ï¼ŒAã¨Cã®è·é›¢ $|$A,C$|$ を用ã„ã¦å¤‰æ•°ã®å€¤ã‚’決ã‚ã‚Œã°ã‚ˆã„。 +矢ã˜ã‚Šï¼š"an"：nã¯æ•°å—ã§çŸ¢ã˜ã‚Šã®å¤§ãã•ã€‚nã¯ãªãã¦ã‚‚よã„。 -　　例：x=$|$A,C$|$-5; +原点O："Onesw"：neswã¯å¾®å°ä½ç½®ã€‚æ•°å—も付ã‘られる。neswã‚’ã¤ã‘ãªã„å ´åˆã®åˆæœŸå€¤ã¯sw。 -æ•´æ•°ã‚’å–å¾—ã—ãŸã„å ´åˆã¯ï¼Œå¤©äº•é–¢æ•°ceil()ã¾ãŸã¯ï¼ŒåºŠé–¢æ•° floor()を用ã„ã¦æ•´æ•°åŒ–ã™ã‚‹ã€‚ +ã€ä¾‹ã€‘ åˆæœŸè¨å®šã®åº§æ¨™è»¸\\ +\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]");| + + 矢ã˜ã‚Šã‚’ã¤ã‘ã‚‹ + + \verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]","a");| + + 矢ã˜ã‚Šã‚’大ããã™ã‚‹ + + \verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]",["a2"]);| + +原点ã®Oを表示ã™ã‚‹ã€‚ -　　例：n=ceil($|$A,C$|$) + \verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]",["O"]);| + + 原点ã®Oã®ä½ç½®ã‚’調整ã—ã¦å³ä¸Šã«è¡¨ç¤ºã™ã‚‹ã€‚ã‚„ã˜ã‚Šã‚‚ã¤ã‘る。 + + \verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]",["a","Oe2n2"]);| + -点Cを端点ã¾ã§ãƒ‰ãƒ©ãƒƒã‚°ã—ãŸå¾Œï¼Œã•ã‚‰ã«ç‚¹Cをドラッグã—よã†ã¨ã™ã‚‹ã¨ç«¯ç‚¹ã‚‚åŒæ™‚ã«å‹•ã„ã¦ã—ã¾ã†ã“ã¨ãŒã‚る。ãã“ã§ï¼Œç«¯ç‚¹ã‚’é¸æŠžã—ã¦ã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ã€Œãƒ”ンã§ç•™ã‚ã‚‹ã€ã«ãƒã‚§ãƒƒã‚¯ã‚’入れã¦ãŠãã¨ã‚ˆã„。 -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +ã€æ³¨æ„】Putaxes3d() ã§ç‚¹ã‚’å–ã‚‹ã¨åŽŸç‚¹ã«ç‚¹OãŒä½œæˆã•ã‚Œã‚‹ã€‚ã“ã®ç‚¹åOã¨è¡¨ç¤ºãŒé‡è¤‡ã™ã‚‹ã®ãŒç…©ã‚ã—ã„å ´åˆã¯ï¼Œä½œå›³å¾Œã«ã“ã®optionã‚’ã¤ã‘ã¦ã‹ã‚‰å‡ºåŠ›ã™ã‚‹ã¨ã‚ˆã„。 -\subsubsection{円形スライダを作る} -角ã®å€¤ã‚’インタラクティブã«æ±ºã‚るスライダを作る。 -ã¾ãšï¼ŒCinderellaã®ä½œå›³ãƒ„ールã§ï¼Œé©å½“ãªå††ã‚’æã，ãã®ä¸Šã«ç‚¹ã‚’ã¨ã‚‹ã€‚ã“ã®ã¨ã，点ãŒå††å‘¨ä¸Šã«ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã«ãªã‚‹ã‚ˆã†ã«ï¼Œç‚¹ã‚’円周上ã«ãƒ‰ãƒ©ãƒƒã‚°ã—ã¦å††å‘¨ãŒãƒã‚¤ãƒ©ã‚¤ãƒˆã—ãŸã¨ãã«ãƒžã‚¦ã‚¹ãƒœã‚¿ãƒ³ã‚’離ã™ã€‚ +\vspace{\baselineskip} +\hypertarget{xyzcoord}{} +\item[関数] Xyzcoord(P.x,P.y,Pz.y) +\item[機能] 主副画é¢ã§æ±ºã¾ã‚‹ç‚¹ã®åº§æ¨™ +\item[説明] Cinderellaã®æç”»é¢ä¸Šã®ç‚¹ãŒè¡¨ã™ç©ºé–“座標を求ã‚ã‚‹ -円ã®ä¸å¿ƒã‚’A，円周上ã®ç‚¹ã‚’Bã¨ã—ãŸã¨ã，B.angleã§è§’度をå–å¾—ã§ãる。ãŸã ã—，戻り値ã¯$0^\circ 〜 360^\circ$ + 点Ｐã«ã¤ã„ã¦ï¼Œä¸»ç”»é¢ã®ç‚¹ï¼°ã«å¯¾å¿œã™ã‚‹ã®ãŒå‰¯ç”»é¢ã®Pzã§ã‚る。点Pã®2次元座標ã¯P.x,P.yã§ï¼ŒPzã®y座標ã¯Pz.yã§è¡¨ã•ã‚Œã‚‹ã€‚ã“れを引数ã¨ã—ã¦ä¸Žãˆã‚‹ã¨ï¼Œç‚¹ï¼°ã®ç©ºé–“座標ãŒè¿”ã•ã‚Œã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘点Aをドラッグã—ã¦å‹•ã‹ã—ãŸã¨ã，Aã®åº§æ¨™ã‚’求ã‚る。 +\verb|println(Xyzcoord(A.x,A.y,Az.y));| + +ã«ã‚ˆã‚Šï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«åº§æ¨™ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ -arctan2(B.xy-A.xy) ã§è§’ã‚’å–å¾—ã™ã‚‹ã“ã¨ã‚‚ã§ãる。ã“ã®å ´åˆã®æˆ»ã‚Šå€¤ã¯ï¼Œ$-180^\circ 〜 180^\circ$\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +\end{description} +\newpage +% 付録 ================================== +\section{付録} +\subsection{用語解説} +Cinderellaã§ä½¿ã£ã¦ã„る用語ã«æ¬¡ã®ã‚‚ã®ãŒã‚る。 +\begin{tabbing} +1234567890123\=456789890123456789012\=34567890123\=\kill +インシデント \>点ãŒæ›²ç·šï¼ˆç›´ç·šï¼‰ä¸Šã«ä¹—ã£ã¦ã„る状態を表ã™ã€‚\\ + \>曲線上ã«ç‚¹ã‚’ã¨ã‚‹ã¨ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã«ãªã‚Šï¼Œãƒ‰ãƒ©ãƒƒã‚°ã—ãŸã¨ã曲線上ã ã‘ã‚’å‹•ã。\\ + \>インシデントã®çŠ¶æ…‹ã‚’変ãˆã‚‹ã«ã¯ï¼Œã€Œç‚¹ã®å–り付ã‘/å–り外ã—ã€ãƒ„ールを使ã†ã€‚\\ +幾何è¦ç´ \>Cinderellaã®ä½œå›³ãƒ„ールã§ä½œå›³ã—ãŸç‚¹ã‚„ç›´ç·šãªã©ã®è¦ç´ \\ +インスペクタ \>幾何è¦ç´ ã®å¤§ãã•ã‚„色ãªã©ã®å±žæ€§ã‚’管ç†ã™ã‚‹ã‚¦ã‚£ãƒ³ãƒ‰ã‚¦ã€‚\\ +幾何点 \>幾何è¦ç´ ã¨ã—ã¦ã®ç‚¹ã€‚マウスドラッグã§å‹•ã‹ã™ã“ã¨ãŒã§ãる。\\ + \>Cindyscriptã‚„KeTCindyã®ã‚¹ã‚¯ãƒªãƒ—トã§å–ã£ãŸç‚¹ã¯å¹¾ä½•è¦ç´ ã«ãªã‚‰ãªã„ã“ã¨ãŒã‚る。\\ +自由点 \>マウスドラッグã§ä»»æ„ã«å‹•ã‹ã™ã“ã¨ã®ã§ãる点。\\ +固定点 \>マウスドラッグã§ç§»å‹•ã™ã‚‹ã“ã¨ã®ã§ããªã„点\\ + \>2曲線ã®äº¤ç‚¹ãªã©ã§ã¯ãªã„å˜ç‹¬ã®ç‚¹ã®å ´åˆï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ç‚¹ã‚’固定ã§ãる。\\ +スナップ \>マウスãƒã‚¤ãƒ³ãƒˆãŒæ ¼å点ã®è¿‘ãã«æ¥ã‚‹ã¨æ ¼å点上ã«ã´ã£ãŸã‚Šç§»å‹•ã™ã‚‹ã€‚\\ + \>Cinderellaã®ç”»é¢ã®ä¸‹æ–¹ãƒ„ールã®ã†ã¡ï¼Œç£çŸ³ã‚¢ã‚¤ã‚³ãƒ³ã«ã‚ˆã‚Šã“ã®ãƒ¢ãƒ¼ãƒ‰ã«ãªã‚‹ã€‚\\ + \end{tabbing} + +\hypertarget{geometrytool}{} +\subsection{Cinderellaã®ä½œå›³ãƒ„ール} + \begin{tabbing} +1234567890123456789890123456789012\=34567890123\=\kill +\includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/move.pdf} å‹•ã‹ã™ãƒ¢ãƒ¼ãƒ‰ã«ã™ã‚‹ \>：幾何è¦ç´ ã‚’é¸æŠžã—ã¦å‹•ã‹ã™ã€‚ã“ã‚ŒãŒæ¨™æº–状態\\ +\includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/single-add.pdf} ç‚¹ã‚’åŠ ãˆã‚‹ \>：クリックã—ã¦ç‚¹ã‚’作る\\ +\includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/multi-add-line.pdf} ç›´ç·šã‚’åŠ ãˆã‚‹ \>：2点間をドラッグã™ã‚‹\\ +\includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/segment.pdf} ç·šåˆ†ã‚’åŠ ãˆã‚‹ \>：2点間をドラッグã™ã‚‹\\ +\includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/middle.pdf} ä¸ç‚¹ã‚’åŠ ãˆã‚‹ \>：2点間をドラッグã™ã‚‹\\ +\includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/intersection.pdf} äº¤ç‚¹ã‚’åŠ ãˆã‚‹ \>：2æ›²ç·šã‚’é †ã«ã‚¯ãƒªãƒƒã‚¯\\ +\includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/multi-add-parallel.pdf} å¹³è¡Œç·šã‚’åŠ ãˆã‚‹ \>：直線上ã‹ã‚‰é€šã‚‹ç‚¹ã¸ãƒ‰ãƒ©ãƒƒã‚°\\ +\includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/multi-add-perp.pdf} åž‚ç·šã‚’åŠ ãˆã‚‹ \>：直線上ã‹ã‚‰é€šã‚‹ç‚¹ã¸ãƒ‰ãƒ©ãƒƒã‚°\\ +\includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/bisector.pdf} 角ã®äºŒç‰åˆ†ç·šã‚’åŠ ãˆã‚‹ \>：2ç›´ç·šã‚’é †ã«ã‚¯ãƒªãƒƒã‚¯\\ +\includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/multi-add-circle.pdf} å††ã‚’åŠ ãˆã‚‹ \>：ä¸å¿ƒã‹ã‚‰åŠå¾„分ドラッグ\\ +\includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/circle-by-radius.pdf} åŠå¾„ã¤ãå††ã‚’åŠ ãˆã‚‹ \>：ä¸å¿ƒã‹ã‚‰åŠå¾„分ドラッグ\\ +\includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/ellipse-by-foci.pdf} 焦点ã¨é€šã‚‹ç‚¹ã§æ±ºã¾ã‚‹æ¥•å†† \>：焦点ã¨é€šã‚‹ç‚¹ã‚’é †ã«ã‚¯ãƒªãƒƒã‚¯\\ +\includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/hyperbola-by-foci.pdf} 焦点ã¨é€šã‚‹ç‚¹ã§æ±ºã¾ã‚‹åŒæ›²ç·š \>：焦点ã¨é€šã‚‹ç‚¹ã‚’é †ã«ã‚¯ãƒªãƒƒã‚¯\\ +\includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/parabola-by-foci.pdf} 焦点ã¨æº–ç·šã§æ±ºã¾ã‚‹æ”¾ç‰©ç·š \>：焦点ã¨æº–ç·šã‚’é †ã«ã‚¯ãƒªãƒƒã‚¯\\ +\includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/polygon.pdf} å¤šè§’å½¢ã‚’åŠ ãˆã‚‹ \>：多角形ã®é ‚ç‚¹ã‚’é †ã«ã‚¯ãƒªãƒƒã‚¯\\ +\includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/angle-mark.pdf} 角ã«å°ã‚’ã¤ã‘ã‚‹ \>：2ç›´ç·šã‚’é †ã«ã‚¯ãƒªãƒƒã‚¯\\ +\includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/angle.pdf} 角度を測る \>：2ç›´ç·šã‚’é †ã«ã‚¯ãƒªãƒƒã‚¯\\ +\includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/delete.pdf} é¸æŠžã—ãŸè¦ç´ を消去ã™ã‚‹ \>：é¸æŠžã—ã¦ãŠã„ã¦ãƒ„ールをクリック\\ +\includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/select-points.pdf} 点をã¾ã¨ã‚ã¦é¸æŠžã™ã‚‹ \>：点ãŒã™ã¹ã¦é¸æŠžã•ã‚Œã‚‹\\ +\includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/select-lines.pdf} 線分をã¾ã¨ã‚ã¦é¸æŠžã™ã‚‹ \>：線分ãŒã™ã¹ã¦é¸æŠžã•ã‚Œã‚‹\\ + \end{tabbing} + + \begin{tabbing} +1234567890123456789890123456789012\=34567890123\=\kill +ç”»é¢ãƒ„ール（下ã®ãƒ„ールãƒãƒ¼ï¼‰\\ +\includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/translate-view.pdf} 原点を移動ã™ã‚‹ \>：画é¢ä¸Šã®ä»»æ„ã®ä½ç½®ã§ãƒ‰ãƒ©ãƒƒã‚°ã™ã‚‹\\ +\includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/zoom-in.pdf} çŸ©å½¢é ˜åŸŸã‚’ç”»é¢ã‚µã‚¤ã‚ºã«æ‹¡å¤§ \>：ドラッグã—ã¦ã§ãる矩形ã§é ˜åŸŸã‚’é¸æŠžã™ã‚‹\\ +\includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/zoom-out.pdf} ç”»é¢ã‚’çŸ©å½¢é ˜åŸŸã‚µã‚¤ã‚ºã«ç¸®å° \>：ã©ã£ã‚‰ã£ãã—ã¦ã§åˆ‡ã‚‹çŸ©å½¢ã§é ˜åŸŸã‚’é¸æŠžã™ã‚‹\\ +\includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/snap.pdf} æ ¼å点ã«ã‚¹ãƒŠãƒƒãƒ—ã™ã‚‹ \>：軸ã¨æ–¹çœ¼ã‚’表示ã—スナップモードã«ã™ã‚‹\\ +\includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/grid-more.pdf} \includegraphics[bb=0 0 6.48 5.04 , width=0.6cm]{Fig/grid-less.pdf} グリッドを粗ã / ç´°ã‹ãã™ã‚‹\\ + \end{tabbing} + +\hypertarget{colorcodelist}{} +\subsection{色åã¨ã‚«ãƒ©ãƒ¼ã‚³ãƒ¼ãƒ‰ä¸€è¦§} +\vspace{\baselineskip} +\scalebox{0.9}{\input{Fig/colortable}} -%　関数一覧　================================== +\newpage +%--------------点ã®ä½œå›³ã«ã¤ã„ã¦ã®æ¯”較表-------------------------------------- +\hypertarget{mkpttable}{} +\subsection{点ã®ä½œå›³ã«ã¤ã„ã¦ã®æ¯”較表} +\vspace{\baselineskip} +\scalebox{0.9}{\input{Fig/mkpttable}} + +注) Intersectcrvsf ã¯æˆ»ã‚Šå€¤ã§ã¯ãªã，プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’使ã†ã€‚ + +\newpage +% 関数一覧 ================================== \hypertarget{functionlist}{} \section{関数一覧} +\hyperlink{index}{ã€ç›®æ¬¡ã€‘ã«æˆ»ã‚‹} + \begin{tabbing} 12345678901234567890123456789012345678\=\kill ã€è¨å®šãƒ»å®šç¾©ã€‘\\ -\hyperlink{addax}{Addax(0/1)}　\>座標軸をæãã‹ã©ã†ã‹ã‚’定ã‚ã‚‹\\ -\hyperlink{addcolor}{Addcolor(com,color)}　\>æ画色をè¨å®šã™ã‚‹\\ -\hyperlink{colorcode}{Colorcode(æ–‡å—1，文å—2,color)}　\>カラーコードã®å¤‰æ›\\ -\hyperlink{deffun}{Deffun(関数å , 定義リスト )}　\>関数を定義ã™ã‚‹\\ -\hyperlink{definecolor}{Definecolor(色å , 定義リスト )}　\>ユーザー定義色ã®è¨å®š\\ -\hyperlink{defvar}{Defvar(æ–‡å—列)} 　\>変数を定義ã™ã‚‹\\ -\hyperlink{drwxy}{Drwxy()} 　　\>座標軸を先ã«æã\\ -\hyperlink{fontsize}{Fontsize(記å·)}　　　\>フォントサイズをè¨å®šã™ã‚‹\\ -\hyperlink{ketint}{Ketinit(options)}　　　\>\ketcindy ã‚’åˆæœŸåŒ–ã™ã‚‹\\ -\hyperlink{ptsie}{Ptsize(æ•°)} 　　\>表示ã™ã‚‹ç‚¹ã®å¤§ãã•ã‚’è¨å®šã™ã‚‹\\ -\hyperlink{setax}{Setax(リスト)}　　\>座標軸ã®æ›¸å¼ã‚’è¨å®šã™ã‚‹\\ -\hyperlink{setcolor}{Setcolor(color,options)}　　\>Windispgã§ã®æ画色をè¨å®šã™ã‚‹\\ -\hyperlink{setmarklen}{Setmarklen(æ•°)}　\>軸ã®ç›®ç››ã®é•·ã•ã‚’è¨å®šã™ã‚‹\\ 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+\hyperlink{ketinit}{Ketinit(options)} \>\ketcindy ã‚’åˆæœŸåŒ–ã™ã‚‹\\ +\hyperlink{ptsize}{Ptsize(æ•°)} \>表示ã™ã‚‹ç‚¹ã®å¤§ãã•ã‚’è¨å®šã™ã‚‹\\ +\hyperlink{setax}{Setax(list)} \>座標軸ã®æ›¸å¼ã‚’è¨å®šã™ã‚‹\\ +\hyperlink{setcolor}{Setcolor(color,options)} \>Windispgã§ã®æ画色をè¨å®šã™ã‚‹\\ +\hyperlink{setfiles}{Setfiles(filename)} \>出力ã™ã‚‹ãƒ•ã‚¡ã‚¤ãƒ«åã‚’è¨å®šã™ã‚‹\\ +\hyperlink{setparent}{Setparent(filename)} \>Parentã§å‡ºåŠ›ã™ã‚‹ãƒ•ã‚¡ã‚¤ãƒ«åã‚’è¨å®šã™ã‚‹\\ +\hyperlink{setmarklen}{Setmarklen(æ•°)} \>軸ã®ç›®ç››ã®é•·ã•ã‚’è¨å®šã™ã‚‹\\ +\hyperlink{setorigin}{Setorigin(座標)} \>表示ã™ã‚‹åº§æ¨™è»¸ã®åŽŸç‚¹ã®ä½ç½®ã‚’è¨å®šã™ã‚‹\\ +\hyperlink{setpen}{Setpen(æ•°)} \>ç·šã®å¤ªã•ã‚’è¨å®šã™ã‚‹\\ +\hyperlink{setpt}{Setpt(æ•°)} \>表示ã™ã‚‹ç‚¹ã®å¤§ãã•ã‚’è¨å®šã™ã‚‹\\ +\hyperlink{setscaling}{Setscaling(æ•°)} \>縦方å‘ã®å€çŽ‡ã‚’è¨å®šã™ã‚‹\\ +\hyperlink{setunitlen}{Setunitlen(æ•°)} \>å˜ä½é•·ã‚’è¨å®šã™ã‚‹\\ +\hyperlink{setwindow}{Setwindow()} \>æç”»é ˜åŸŸã‚’è¨å®šã™ã‚‹\\ +\hyperlink{usegraphics}{Usegraphics()} \>グラフィクスパッケージを 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-\hyperlink{mksegments}{Mksegments()}　\> 幾何線分ã®ã™ã¹ã¦ã®PD を作æˆã™ã‚‹\\ -\hyperlink{ovaldata}{Ovaldata(name, 点リスト,optionss)} \>角を丸ãã—ãŸçŸ©å½¢ã‚’æã\\ -\hyperlink{ospline}{Ospline(リスト，リスト，options )} \>大島ã®ã‚¹ãƒ—ライン曲線をæã\\ -\hyperlink{parabolaplot}{Parabolaplot(name,list,str,options)}　\>放物線をæã\\ -\hyperlink{parabolaplot}{Parabolaplot(name,点リスト,options)}　\>楕円をæã\\ -\hyperlink{paramark}{Paramark(点リスト,options)}　\>角ã®å°ã‚’入れる\\ -\hyperlink{paramplot}{Paramplot(name,å¼,変数ã¨å®šç¾©åŸŸ,options)}　\>媒介変数ã§è¡¨ã•ã‚ŒãŸæ›²ç·šã‚’表示ã™ã‚‹\\ -\hyperlink{partcrv}{Partcrv(name,点1,点2,PD)}　　\>部分曲線をæã\\ -\hyperlink{plotdata}{Plotdata(name,å¼,変数ã¨å®šç¾©åŸŸ,options)}　　\>関数ã®ã‚°ãƒ©ãƒ•ã‚’æã\\ -\hyperlink{pointdata}{Pointdata(name,点リスト,optionss)}　\>点データを作る\\ -\hyperlink{polygonplot}{Polygonplot(name,点リスト,æ•´æ•°,options)}　\>æ£å¤šè§’形をæã\\ -\hyperlink{putintersect}{Putintersect(点å,PD1,PD2)}　\>２曲線ã®äº¤ç‚¹ã‚’作る\\ -\hyperlink{putline}{PutonLine(点å,座標1,座標2)}　　　\>直線上ã«ç‚¹ã‚’作る\\ 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-\hyperlink{vtickmark}{Vtickmark([横座標 , æ–¹å‘ , æ–‡å—])}　　\>縦軸ã«ç›®ç››ã‚Šã‚’æã\\ - -　\\ -ã€å¾®ç©åˆ†ãªã©ã€‘\\ -\hyperlink{derivative}{Derivative(関数å¼,変数,値)}　\>関数ã®å¾®åˆ†ä¿‚数を求ã‚ã‚‹\\ -\hyperlink{integrate}{Integrate(関数å¼,変数,範囲,options)}　 \>関数ã®å®šç©åˆ†å€¤ã‚’求ã‚ã‚‹\\ -\hyperlink{inversefun}{Inversefun(関数å¼,範囲,値)}　\>逆関数値を求ã‚ã‚‹\\ -　\\ +\hyperlink{anglemark}{Anglemark(点list, options)} \>角ã®å°ã‚’入れる\\ +\hyperlink{arrowdata}{Arrowdata(name.[始点,終点],options)} \>2点間をçµã¶çŸ¢ç·šã‚’æã\\ +\hyperlink{arrowhead}{Arrowhead(点,æ–¹å‘,options)} \>点ã«çŸ¢ã˜ã‚Šã ã‘ã‚’æã\\ +\hyperlink{bezier}{Bezier(name, list,list,options )} \>å˜ç‹¬ã®ãƒ™ã‚¸ã‚§æ›²ç·šã‚’æã\\ +\hyperlink{beziersmooth}{Beziersmooth(name , list,options )} \>ãªã‚らã‹ãªãƒ™ã‚¸ã‚§æ›²ç·šã‚’æã。ãã®ï¼‘\\ +\hyperlink{beziersym}{Beziersym(name , list,options )} \>ãªã‚らã‹ãªãƒ™ã‚¸ã‚§æ›²ç·šã‚’æã。ãã®2\\ +\hyperlink{bowdata}{Bowdata(点list,options)} \>弓形をæã\\ +\hyperlink{bspline}{Bspline(name，list，options )} \>2次 Bスプライン曲線をæã\\ +\hyperlink{changestyle}{Changestyle(PD list, options)} \>æ画オプションを変更ã™ã‚‹\\ +\hyperlink{circledata}{Circledata(name,点list,options)} \>円ã¾ãŸã¯æ£å¤šè§’形をæã\\ +\hyperlink{crspline}{CRspline(name，list，options )} \>å˜ç‹¬ã®Catmull-Rom スプライン曲線をæã\\ +\hyperlink{deqplot}{Deqplot(name,å¼,変数å,åˆæœŸå€¤,options])} \>微分方程å¼ã®è§£æ›²ç·šã‚’æã\\ +\hyperlink{dotfilldata}{Dotfilldata(name , æ–¹å‘, PD , options)} \>é ˜åŸŸã«ç‚¹ã‚’æ•·ãè©°ã‚ã‚‹\\ +\hyperlink{drawsegmark}{Drawsegmark(name,list,options)} \>線分ã«å°ã‚’ã¤ã‘ã‚‹\\ +\hyperlink{drwpt}{Drawpoint([点,options])} \>点を表示ã™ã‚‹\\ +\hyperlink{drwpt}{Drwpt([点,options])} \>点を表示ã™ã‚‹\\ +\hyperlink{ellipseplot}{Ellipseplot(name,list,str,options)} \>楕円をæã\\ +\hyperlink{enclosing}{Enclosing(name , [ä½ç½®ï¼Œæ–¹å‘，数å¼])} \>複数ã®æ›²ç·šã‹ã‚‰é–‰æ›²ç·šã‚’æã\\ +\hyperlink{expr}{Expr(æ–‡å—列)} \>\TeX æ•°å¼ã‚’書ã\\ +\hyperlink{exprrot}{Exprrot(ä½ç½®ï¼Œå‘ã，文å—列)} \>傾ã„ãŸ\TeX æ•°å¼ã‚’書ã\\ +\hyperlink{fourierseries}{Fourierseries(name,ä¿‚æ•°,周期,é …æ•°)} \>フーリエ級数をæã\\ +\hyperlink{framedata}{Framedata(name , list)} \>矩形をæã\\ +\hyperlink{hatchdata}{Hatchdata(name , æ–¹å‘, PD , options)} \>é ˜åŸŸã«æ–œç·šã‚’引ã\\ +\hyperlink{htickmark}{Htickmark([横座標 , æ–¹å‘ , æ–‡å—])} \>横軸ã«ç›®ç››ã‚Šã‚’æã\\ +\hyperlink{hyperbolaplot}{Hyperbolaplot(name,list,str,options)} \>åŒæ›²ç·šã‚’æã\\ +\hyperlink{implicitplot}{Implicitplot(name,str,,str,str,options)} \>陰関数ã®ã‚°ãƒ©ãƒ•ã‚’æã\\ +\hyperlink{invert}{Invert(PD)} \>プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ç‚¹ã‚’é€†é †ã«ã™ã‚‹ï¼ˆreverseã¨åŒã˜ï¼‰\\ +\hyperlink{joincrvs}{Joincrvs（name, PDlist, options)} \>2ã¤ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’ã¤ãªã’ãŸãƒ‡ãƒ¼ã‚¿ã‚’作る\\ +\hyperlink{letter}{Letter(「座標,ä½ç½®,æ–‡å—列]ã®listã€)} \>æ–‡å—列を表示ã™ã‚‹\\ +\hyperlink{letterrot}{Letterrot(「座標,æ–¹å‘,移動é‡,æ–‡å—列])} \>æ–‡å—列を回転ã—ã¦è¡¨ç¤ºã™ã‚‹\\ +\hyperlink{lineplot}{Lineplot(name,2点ã®list,options)} \>2点をçµã¶ç›´ç·šã‚’æã\\ +\hyperlink{listplot}{Listplot(name,点ã®list,options)} \>点を線分ã§çµã¶\\ +\hyperlink{mkbeziercrv}{Mkbeziercrv(name,list,options)} \>作図ã—ãŸç‚¹ã‚’使ã£ã¦ãƒ™ã‚¸ã‚§æ›²ç·šã‚’æã\\ +\hyperlink{mkbezierptcrv}{Mkbezierptcrv(list，options ) } \>制御点を自動é…ç½®ã—ã¦ãƒ™ã‚¸ã‚§æ›²ç·šã‚’æã\\ +\hyperlink{mkcircles}{Mkcircles()} \>幾何円ã®ã™ã¹ã¦ã®PD を作æˆã™ã‚‹\\ +\hyperlink{mksegments}{Mksegments()} \> 幾何線分ã®ã™ã¹ã¦ã®PD を作æˆã™ã‚‹\\ +\hyperlink{ospline}{Ospline(list，list，options )} \>大島ã®ã‚¹ãƒ—ライン曲線をæã\\ +\hyperlink{ovaldata}{Ovaldata(name, 点list,options)} \>角を丸ãã—ãŸçŸ©å½¢ã‚’æã\\ +\hyperlink{parabolaplot}{Parabolaplot(name,list,str,options)} \>放物線をæã\\ +\hyperlink{paramark}{Paramark(点list,options)} \>角ã®å°ã‚’入れる\\ +\hyperlink{paramplot}{Paramplot(name,å¼,変数ã¨å®šç¾©åŸŸ,options)} \>媒介変数ã§è¡¨ã•ã‚ŒãŸæ›²ç·šã‚’æã\\ +\hyperlink{polarplot}{Polarplot(name,å¼,変数ã¨å®šç¾©åŸŸ,options)} \>極座標表示ã®æ›²ç·šã‚’æã\\\hyperlink{partcrv}{Partcrv(name,点1,点2,PD)} \>部分曲線をæã\\ +\hyperlink{periodfun}{Periodfun(定義å¼,周期,options)} \>周期関数ã®ã‚°ãƒ©ãƒ•ã‚’æã\\ +\hyperlink{plotdata}{Plotdata(name,å¼,変数ã¨å®šç¾©åŸŸ,options)} \>関数ã®ã‚°ãƒ©ãƒ•ã‚’æã\\ +\hyperlink{pointdata}{Pointdata(name,点list,options)} \>点データを作る\\ +\hyperlink{polygonplot}{Polygonplot(name,点list,æ•´æ•°,options)} \>æ£å¤šè§’形をæã\\ +\hyperlink{putintersect}{Putintersect(点å,PD1,PD2)} \>2曲線ã®äº¤ç‚¹ã‚’作る\\ +\hyperlink{putoncurve}{PutonCurve(name,PD,åˆæœŸå€¤)} \>曲線上ã«ç‚¹ã‚’作る\\ +\hyperlink{putonline}{PutonLine(点å,座標1,座標2)} \>直線上ã«ç‚¹ã‚’作る\\ +\hyperlink{putonseg}{PutonSeg(点å,座標1,座標2)} \>線分上ã«ç‚¹ã‚’作る\\ +\hyperlink{putpoint}{Putpoint(点å,座標1,座標2)} \>点を作る\\ +\hyperlink{reflectdata}{Reflectdata(name,PD,点list,options)} \>プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®é¡æ˜ を作æˆ\\ +\hyperlink{reflectpoint}{Reflectpoint(点,対称点/対称軸)} \>点ã®é¡æ˜ を作æˆ\\ +\hyperlink{rotatedata}{Rotatedata(name,PD,角度,ä¸å¿ƒ,options)} \>プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’回転ã™ã‚‹\\ +\hyperlink{rotatepoint}{Rotatepoint(点,角度,ä¸å¿ƒ)} \>点ã®ä½ç½®ã‚’回転ã™ã‚‹\\ +\hyperlink{rulerscale}{Rulerscale(点,list,list)} \>目盛を打ã¤\\ +\hyperlink{scaledata}{Scaledata(name,PD,x,y,ä¸å¿ƒ,options)} \>点を拡大・縮å°ã™ã‚‹\\ +\hyperlink{scalepoint}{Scalepoint(点,比率ベクトル,ä¸å¿ƒ)} \>点ã®ä½ç½®ã‚’拡大・縮å°ã™ã‚‹\\ +\hyperlink{drawsegmark}{Segmark(name,list,options)} \>線分ã«å°ã‚’ã¤ã‘ã‚‹\\ +\hyperlink{shade}{Shade（PDlist , æ•°)} \>閉曲線ã®å†…部ã«ã‚·ã‚§ãƒ¼ãƒ‰ã‚’ã‹ã‘ã‚‹\\ +\hyperlink{tangentplot}{Tangentplot(name,PD, ä½ç½®)} \>曲線ã®æŽ¥ç·šã‚’引ã\\ +\hyperlink{translatedata}{Translatedata(name,PD,ベクトル,options)} \>プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’平行移動ã™ã‚‹\\ +\hyperlink{translatepoint}{Translatepoint(点,ベクトル)} \>点を平行移動ã™ã‚‹\\ +\hyperlink{vtickmark}{Vtickmark([横座標 , æ–¹å‘ , æ–‡å—])} \>縦軸ã«ç›®ç››ã‚Šã‚’æã\\ ã€ä½œè¡¨ã€‘\\ -\hyperlink{tabledata}{Tabledata("" , 縦横 ,除外 , options)}　\>表ã®æž を作æˆã™ã‚‹\\ -\hyperlink{tabledatalight}{Tabledatalight("" , 縦横 ,除外 , options)}　\>幾何点をæŒãŸãªã„表ã®æž を作æˆã™ã‚‹\\ -\hyperlink{changetablestyle}{ChangeTablestyle(罫線リスト, options)}　\>Table ã®ç½«ç·šã®æ画オプションを変更ã™ã‚‹ã€‚\\ +\hyperlink{changetablestyle}{ChangeTablestyle(罫線list, options)} \>Table ã®ç½«ç·šã®æ画オプションを変更ã™ã‚‹ã€‚\\ \hyperlink{findcell}{Findcell(列番å·, 行番å·)} \>セルã®æƒ…å ±listã‚’è¿”ã™\\ \hyperlink{putcell}{Putcell 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+\hyperlink{tabledatalight}{Tabledatalight("" , 縦横 ,除外 , options)} \>幾何点をæŒãŸãªã„表ã®æž を作æˆã™ã‚‹\\ +\hyperlink{tgrid}{Tgrid(セルラベル)} \>ã‚»ãƒ«ï¼ˆæ ¼å点）ã®åº§æ¨™ã‚’è¿”ã™\\ \hyperlink{tlistplot}{Tlistplot(セルラベル1,セルラベル2)} \>セルã«æ–œç·šã‚’引ã\\ -　\\ +\vspace{\baselineskip} ã€å€¤ã®å–å¾—ã¨å…¥å‡ºåŠ›ã€‘\\ -\hyperlink{crossprod}{Crossprod(リスト,リスト)}　\>ベクトルã®å¤–ç©ã‚’計算ã™ã‚‹\\ -\hyperlink{dotprod}{Dotoprod(リスト,リスト)}　\>ベクトルã®å†…ç©ã‚’計算ã™ã‚‹\\ -\hyperlink{findarea}{Findarea(PD)}　\>プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§å›²ã¾ã‚Œã‚‹éƒ¨åˆ†ã®é¢ç©ã‚’求ã‚ã‚‹\\ -\hyperlink{findlength}{Findlength(PD)}　\>プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§æã曲線ã®é•·ã•ã‚’求ã‚ã‚‹\\ -\hyperlink{intersectcrvs}{Intersectcrvs(PD1,PD2,options)}　　\>プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’交点ã®ãƒªã‚¹ãƒˆã‚’è¿”ã™\\ -\hyperlink{invert}{Invert(PD)}　　　　\>プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ç‚¹ã‚’é€†é †ã«ã™ã‚‹ï¼ˆreverseã¨åŒã˜ï¼‰\\ -\hyperlink{meetcurve}{MeetCurve(PD,x,y)}　\>曲線上ã®ç‚¹ã‚’å–å¾—ã™ã‚‹\\ -\hyperlink{lcrd}{Lcrd()}　　　\>幾何点，リスト点ã®è«–ç†åº§æ¨™ã‚’å–å¾—ã™ã‚‹\\ -\hyperlink{pcrd}{Pcrd()}　　　\>幾何点，リスト点ã®ç‰©ç†ï¼ˆè¡¨ç¤ºï¼‰åº§æ¨™ã‚’å–å¾—ã™ã‚‹\\ -\hyperlink{nearestpt}{Nearestpt(PD,PD)}　\>２曲線間ã®æœ€ã‚‚è¿‘ã„点をå–å¾—ã™ã‚‹\\ -\hyperlink{nearestptcrv}{Nearestptcrv(点,PD)}　\>点ã«ä¸€ç•ªè¿‘ã„曲線上ã®ç‚¹ã‚’å–å¾—ã™ã‚‹\\ -\hyperlink{numptcrv}{Numptcrv(PD)}　　\>曲線PD ã®ç¯€ç‚¹ãƒ‡ãƒ¼ã‚¿ã®å€‹æ•°ã‚’å–å¾—ã™ã‚‹\\ -\hyperlink{paramoncurve}{ParamonCurve(PD,n,PtL)}　\>PD上ã«ã‚る点P ã®ãƒ‡ãƒ¼ã‚¿ã‚’å–å¾—ã™ã‚‹\\ -\hyperlink{pointoncrv}{Pointoncrv(æ•°,PD)}　\>パラメータ値をもã¤ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ä¸Šã®ç‚¹\\ -\hyperlink{ptcrv}{Ptcrv(n,PD)}　\>曲線PD ã®n 番目ã®ç¯€ç‚¹ã‚’å–å¾—ã™ã‚‹\\ -\hyperlink{ptstart}{Ptstart(PD)}　　　\>プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å§‹ç‚¹ã‚’å–å¾—ã™ã‚‹\\ -\hyperlink{ptstart}{Ptend(PD)}　　　\>プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®çµ‚点をå–å¾—ã™ã‚‹\\ -\hyperlink{readoutdata}{ReadOutData(ファイルå)}　\>外部データをèªã¿è¾¼ã‚€\\ -\hyperlink{sprintf}{Sprintf(実数,é•·ã•)}　\>å°æ•°ç‚¹ä»¥ä¸‹ã®é•·ã•ã‚’固定ã—ãŸæ–‡å—列ã«å¤‰æ›\\ -\hyperlink{writetosci}{WritetoSci(ファイルå,options)} \>ã™ã¹ã¦ã®ã‚½ãƒ¼ã‚¹ã‚’ Scilab 用ã«æ›¸ã出ã™\\ -\hyperlink{writetosci}{WritetoScibody(ファイルå)} \>ボディã®ã‚½ãƒ¼ã‚¹ã‚’ Scilab 用ã«æ›¸ã出ã™\\ -\hyperlink{makeshell}{Makeshell(ファイルå)} \>Macã®ã‚·ã‚§ãƒ«ã‚¹ã‚¯ãƒªãƒ—トを書ã出ã™\\ -\hyperlink{makeshell}{Makebat(ファイルå)} \>Windowsã®ãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ«ã‚’書ã出ã™\\ -\hyperlink{textformat}{Textformat(æ•°,æ¡æ•°)} \>å°æ•°ç‚¹ä»¥ä¸‹ã®æ¡æ•°ã‚’指定ã—ã¦æ•°å€¤ã‚’æ–‡å—列化ã™ã‚‹\\ -\hyperlink{viewtex}{Viewtex()}　\>\TeX ã®ã‚½ãƒ¼ã‚¹ãƒ•ã‚¡ã‚¤ãƒ«ã‚’書ã出ã™ã€‚引数ãªã—\\ - \hyperlink{workprocess}{Workprocess()}　\>作図ã®çµŒéŽã‚’å–å¾—ã™ã‚‹\\ -　\\ +\hyperlink{crossprod}{Crossprod(list,list)} \>ベクトルã®å¤–ç©ã‚’計算ã™ã‚‹\\ +\hyperlink{derivative}{Derivative(関数å¼,変数,値)} \>関数ã®å¾®åˆ†ä¿‚数を求ã‚ã‚‹\\ +\hyperlink{dotprod}{Dotprod(list,list)} \>ベクトルã®å†…ç©ã‚’計算ã™ã‚‹\\ +\hyperlink{extractdata}{Extractdata(データå,属性)} \>ReadOutDataã§èªã¿è¾¼ã‚“ã データã«å±žæ€§ã‚’ã¤ã‘る。\\ +\hyperlink{findarea}{Findarea(PD)} \>プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§å›²ã¾ã‚Œã‚‹éƒ¨åˆ†ã®é¢ç©ã‚’求ã‚ã‚‹\\ +\hyperlink{findlength}{Findlength(PD)} \>プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§æã曲線ã®é•·ã•ã‚’求ã‚ã‚‹\\ +\hyperlink{integrate}{Integrate(関数å¼,変数,範囲,options)} \>関数ã®å®šç©åˆ†å€¤ã‚’求ã‚ã‚‹\\ +\hyperlink{intersectcrvs}{Intersectcrvs(PD1,PD2)} \>プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®äº¤ç‚¹ã®åº§æ¨™listã‚’è¿”ã™\\ +\hyperlink{intersectcrvspp}{IntersectcrvsPp(PD1,PD2)} \>プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®äº¤ç‚¹ã®ãƒ‘ラメータlistã‚’è¿”ã™\\ +\hyperlink{inversefun}{Inversefun(関数å¼,範囲,値)} \>逆関数値を求ã‚ã‚‹\\ +%\hyperlink{makeshell}{Makeshell(ファイルå)} \>Macã®ã‚·ã‚§ãƒ«ã‚¹ã‚¯ãƒªãƒ—トを書ã出ã™\\ +%\hyperlink{makeshell}{Makebat(ファイルå)} \>Windowsã®ãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ«ã‚’書ã出ã™\\ +\hyperlink{nearestpt}{Nearestpt(PD,PD)} \>2曲線間ã®æœ€ã‚‚è¿‘ã„点をå–å¾—ã™ã‚‹\\ +\hyperlink{nearestptcrv}{Nearestptcrv(点,PD)} \>点ã«ä¸€ç•ªè¿‘ã„曲線上ã®ç‚¹ã‚’å–å¾—ã™ã‚‹\\ +\hyperlink{numptcrv}{Numptcrv(PD)} \>曲線PD ã®ç¯€ç‚¹ãƒ‡ãƒ¼ã‚¿ã®å€‹æ•°ã‚’å–å¾—ã™ã‚‹\\ +\hyperlink{paramoncrv}{ParamonCurve(PD,n,PtL)} \>PD上ã«ã‚る点P ã®ãƒ‡ãƒ¼ã‚¿ã‚’å–å¾—ã™ã‚‹\\ +\hyperlink{pointoncrv}{Pointoncrv(æ•°,PD)} \>パラメータ値をもã¤ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ä¸Šã®ç‚¹\\ +\hyperlink{ptcrv}{Ptcrv(n,PD)} \>曲線PD ã®n 番目ã®ç¯€ç‚¹ã‚’å–å¾—ã™ã‚‹\\ +\hyperlink{ptstart}{Ptstart(PD)} \>プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å§‹ç‚¹ãƒ»çµ‚点をå–å¾—ã™ã‚‹\\ +\hyperlink{readoutdata}{ReadOutData(ファイルå)} \>外部データをPDã¨ã—ã¦èªã¿è¾¼ã‚€\\ +\hyperlink{viewtex}{Viewtex()} \>\TeX ã®ã‚½ãƒ¼ã‚¹ãƒ•ã‚¡ã‚¤ãƒ«ã‚’書ã出ã™ã€‚引数ãªã—\\ +\hyperlink{workprocess}{Workprocess()} \>作図ã®çµŒéŽã‚’å–å¾—ã™ã‚‹\\ +\hyperlink{writeoutdata}{WriteOutData()} \>PDデータを書ã出ã™\\ +\vspace{\baselineskip} ã€ãã®ä»–】\\ -\hyperlink{assign}{Assign(æ–‡å—列)}　　\>æ–‡å—列ä¸ã®ã‚ã‚‹æ–‡å—を値ã§ç½®ãæ›ãˆã‚‹\\ -\hyperlink{bbdata}{BBdata(ファイルå)}　　\>ç”»åƒã®ã‚µã‚¤ã‚ºã‚’求ã‚ã‚‹\\ -\hyperlink{changework}{Changework(パス)}　　\>作æ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã‚’変更ã™ã‚‹\\ -\hyperlink{com0th}{Com0th(コマンド)} 　\>Scilabã®Openfileã®å‰ã«ç½®ãコマンドを定義ã™ã‚‹\\ -\hyperlink{com1st}{Com1st(コマンド)} 　\>Scilabã®Openfileã®å‰ã«ç½®ãコマンドを定義ã™ã‚‹\\ -\hyperlink{com2nd}{Com2nd(コマンド)} \>Scilabã®Openfileã®ã‚ã¨ã«ç½®ãコマンドを定義ã™ã‚‹\\ -\hyperlink{com2ndpre}{Com2ndpre(コマンド)} \>Scilabã®Openfileã®ã‚ã¨ã«ç½®ãコマンドを定義ã™ã‚‹\\ -\hyperlink{dashline}{Dashline(PDå)}　　\>プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’ç ´ç·šã§æã\\ -\hyperlink{dottedline}{Dottedline(PDå)}　\>プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’点線ã§æã\\ -\hyperlink{drwline}{Drwline(PDå)}　　\>プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’実線ã§æã\\ +\hyperlink{assign}{Assign(æ–‡å—列)} \>æ–‡å—列ä¸ã®ã‚ã‚‹æ–‡å—を値ã§ç½®ãæ›ãˆã‚‹\\ +\hyperlink{bbdata}{BBdata(ファイルå)} \>ç”»åƒã®ã‚µã‚¤ã‚ºã‚’求ã‚ã‚‹\\ +%\hyperlink{com0th}{Com0th(コマンド)} \>Rã®Openfileã®å‰ã«ç½®ãコマンドを定義ã™ã‚‹\\ +%\hyperlink{com1st}{Com1st(コマンド)} \>Rã®Openfileã®å‰ã«ç½®ãコマンドを定義ã™ã‚‹\\ +%\hyperlink{com2nd}{Com2nd(コマンド)} \>Rã®Openfileã®ã‚ã¨ã«ç½®ãコマンドを定義ã™ã‚‹\\ +%\hyperlink{com2ndpre}{Com2ndpre(コマンド)} \>Rã®Openfileã®ã‚ã¨ã«ç½®ãコマンドを定義ã™ã‚‹\\ +\hyperlink{cindyname}{Cindyname()} \>作図ã—ã¦ã„るファイルåã‚’å–å¾—ã™ã‚‹ã€‚\\ +\hyperlink{colorcode}{Colorcode(æ–‡å—1，文å—2,color)} \>カラーコードã®å¤‰æ›\\ +\hyperlink{dqq}{Dqq(æ–‡å—列)} \>æ–‡å—列ã®å‰å¾Œã«\verb|"|ã‚’ã¤ã‘る。\\ +\hyperlink{factorial}{Factorial(n)} \>nã®éšŽä¹—を計算ã™ã‚‹ã€‚\\ +\hyperlink{norm}{Norm(ベクトル)} \>ベクトルã®å¤§ãã•ã‚’計算ã™ã‚‹ã€‚\\ \hyperlink{figpdf}{Figpdf(option)} \>å‡ºåŠ›æž ã‚µã‚¤ã‚ºã®PDFを作る\\ -\hyperlink{helplist}{Helplist()}　　\>ヘルプデータを作る\\ -\hyperlink{help}{Help(str)}　　\>コマンドヘルプを表示ã™ã‚‹\\ -\hyperlink{helpkey}{Helpkey(str)}　　\>ã‚ーワードã§é–¢æ•°ã‚’検索ã™ã‚‹\\ -\hyperlink{help}{Ketcindylogo()}　　\>\ketcindy ã®ãƒã‚´ã‚’書ã出ã™\\ +\hyperlink{help}{Help(str)} \>コマンドヘルプを表示ã™ã‚‹\\ +\hyperlink{helpkey}{Helpkey(str)} \>ã‚ーワードã§é–¢æ•°ã‚’検索ã™ã‚‹\\ \hyperlink{indexall}{Indexall(str1,str2)} \>æ–‡å—列 str1 ã‹ã‚‰ str2 を検索ã—ãã®ä½ç½®ã‚’ã™ã¹ã¦è¿”ã™\\ -\hyperlink{op}{Op(n,list)} 　\> リストã¾ãŸã¯æ–‡å—列ã‹ã‚‰è¦ç´ を抜ã出ã™\\ +\hyperlink{op}{Op(n,list)} \> listã¾ãŸã¯æ–‡å—列ã‹ã‚‰è¦ç´ を抜ã出ã™\\ +\hyperlink{isptselected}{Isptselected(点å)} \>点ãŒé¸æŠžã•ã‚Œã¦ã„ã‚Œã°trueã‚’è¿”ã™\\ +\hyperlink{isptselected}{Ptselected(点å)} \>点ãŒé¸æŠžã•ã‚Œã¦ã„ã‚Œã°trueã‚’è¿”ã™\\ +\hyperlink{slider}{Slider()} \>スライダを作る\\ +\hyperlink{sprintf}{Sprintf(実数,é•·ã•)} \>å°æ•°ç‚¹ä»¥ä¸‹ã®é•·ã•ã‚’固定ã—ãŸæ–‡å—列ã«å¤‰æ›\\ +\hyperlink{strsplit}{Strsplit(æ–‡å—列,æ–‡å—)} \>æ–‡å—列を分解ã™ã‚‹ã€‚\\ \hyperlink{texcom}{Texcom(コード)} \>\TeX ã®ã‚³ãƒ¼ãƒ‰ã‚’書ã出ã™\\ -\hyperlink{windispg}{Windispg()}　\>定義ã•ã‚ŒãŸãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’æç”»é¢ã«æã\\ -　\\ +\hyperlink{textformat}{Textformat(æ•°,æ¡æ•°)} \>å°æ•°ç‚¹ä»¥ä¸‹ã®æ¡æ•°ã‚’指定ã—ã¦æ•°å€¤ã‚’æ–‡å—列化ã™ã‚‹\\ +\hyperlink{windispg}{Windispg()} \>定義ã•ã‚ŒãŸãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’æç”»é¢ã«æã\\ +\vspace{\baselineskip} ã€ï¼²ã¨ã®é€£æºã€‘\\ \hyperlink{boxplot}{Boxplot(åå‰,データ,ä½ç½®,高ã•,option)} \>ç®±ã²ã’図をæã\\ -\hyperlink{calcbyr}{CalcbyR(変数å,コマンド列，option)} \>Rã®ã‚³ãƒžãƒ³ãƒ‰ã‚’実行ã—ã¦çµæžœã‚’è¿”ã™\\ +\hyperlink{rfun}{Rfun(変数å,コマンド,引数, option)} \>Rã®1ã¤ã‚³ãƒžãƒ³ãƒ‰ã‚’実行ã—ã¦çµæžœã‚’è¿”ã™\\ +\hyperlink{calcbyr}{CalcbyR(変数å,コマンド列, option)} \>Rã®ã‚³ãƒžãƒ³ãƒ‰åˆ—を実行ã—ã¦çµæžœã‚’è¿”ã™\\ \hyperlink{histplot}{Histplot(name,data)} \>ヒストグラムをæã\\ \hyperlink{plotdatar}{PlotdataR(name,å¼,変数)} \>Rã®é–¢æ•°ã®ã‚°ãƒ©ãƒ•ã‚’æã\\ \hyperlink{plotdiscr}{PlotdiscR(name,å¼,変数)} \>離散型ã®ã‚°ãƒ©ãƒ•ã‚’æã\\ \hyperlink{readcsv}{Readcsv(name,filename,option)} \>csvファイルをèªã‚€\\ -\hyperlink{scatterplot}{Scatterplot(name,filename,option)} \>２次元データをèªã¿è¾¼ã¿ï¼Œæ•£å¸ƒå›³ã‚’æã\\ -　\\ +\hyperlink{scatterplot}{Scatterplot(name,filename,option)} \>2次元データをèªã¿è¾¼ã¿ï¼Œæ•£å¸ƒå›³ã‚’æã\\ +\vspace{\baselineskip} ã€Maximaã¨ã®é€£æºã€‘\\ -\hyperlink{calcbyM}{CalcbyM(name,リスト,option)}　\>Maximaã®ã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹\\ -\hyperlink{example}{Example("Mxfun",æ–‡å—)}　\>Mxfunã®ä½¿ç”¨ä¾‹ã‚’表示\\ -\hyperlink{mxbatch}{Mxbatch(リスト)}　\>Maximaã®å¤–部スクリプト用コマンドを作る\\ -\hyperlink{mxfun}{Mxfun(name,å¼,リスト,option)}　\>Maximaã®é–¢æ•°ã‚’実行ã™ã‚‹\\ +\hyperlink{calcbyM}{CalcbyM(name,list,option)} \>Maximaã®ã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹\\ +%\hyperlink{example}{Example("Mxfun",æ–‡å—)} \>Mxfunã®ä½¿ç”¨ä¾‹ã‚’表示\\ +\hyperlink{mxbatch}{Mxbatch(list)} \>Maximaã®å¤–部スクリプト用コマンドを作る\\ +\hyperlink{mxfun}{Mxfun(name,å¼,list,option)} \>Maximaã®é–¢æ•°ã‚’実行ã™ã‚‹\\ \hyperlink{mxtex}{Mxtex(num,å¼)} \>å¼ã‚’TeX書å¼ã«ã™ã‚‹\\ -　\\ +\vspace{\baselineskip} ã€Risa/Asirã¨ã®é€£æºã€‘\\ -\hyperlink{calcbyA}{CalcbyA(name,リスト,option)}　\>Risa/Asirã®ã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹\\ -\hyperlink{asirfun}{Asirfun(name,å¼,リスト,option)}　\>Risa/Asirã®é–¢æ•°ã‚’実行ã™ã‚‹\\ -　\\ +\hyperlink{asirfun}{Asirfun(name,å¼,list,option)} \>Risa/Asirã®é–¢æ•°ã‚’実行ã™ã‚‹\\ +\hyperlink{calcbyA}{CalcbyA(name,list,option)} \>Risa/Asirã®ã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹\\ +\vspace{\baselineskip} ã€FriCASã¨ã®é€£æºã€‘\\ -\hyperlink{calcbyF}{CalcbyF(name,リスト,option)}　\>FriCASã®ã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹\\ -\hyperlink{frfun}{Frfun(name,å¼,リスト,option)}　\>FriCASã®é–¢æ•°ã‚’実行ã™ã‚‹\\ -　\\ +\hyperlink{calcbyF}{CalcbyF(name,list,option)} \>FriCASã®ã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹\\ +\hyperlink{frfun}{Frfun(name,å¼,list,option)} \>FriCASã®é–¢æ•°ã‚’実行ã™ã‚‹\\ +\vspace{\baselineskip} ã€MeshLabã¨ã®é€£æºã€‘\\ \hyperlink{mkobjcmd}{Mkobjcmd(name,å¼,option)} \>厚ã¿ã‚’æŒãŸãªã„曲é¢ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’作æˆ\\ \hyperlink{mkobjcrvcmd}{Mkobjcrvcmd(name,PD,option)} \>空間曲線ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’作æˆ\\ @@ -6038,65 +7562,67 @@ arctan2(B.xy-A.xy) ã§è§’ã‚’å–å¾—ã™ã‚‹ã“ã¨ã‚‚ã§ãる。ã“ã®å ´åˆã®æˆ»ã \hyperlink{mkobjsymbcmd}{Mkobjsymbcmd(PD, 実数,実数,vec,vec)} \>æ–‡å—ç‰ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’作æˆ\\ \hyperlink{mkobjthickcmd}{Mkobjthickcmd(name,å¼)} \>厚ã¿ã‚’æŒã¤æ›²é¢ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’作æˆ\\ \hyperlink{mkviewobj}{Mkviewobj(name,PD, options)} \>obj ファイルを作æˆ\\ -　\\ +\vspace{\baselineskip} ã€è¡¨è¨ˆç®—ソフトã¨ã®é€£æºã€‘\\ -\hyperlink{tab2list}{Tab2list(str，option)} \>str ã®å†…容をリストã«å¤‰æ›ã™ã‚‹\\ -\hyperlink{dispmat}{Dispmat(list)} \>リストã®å†…容を行列型ã«ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã™ã‚‹\\ +\hyperlink{dispmat}{Dispmat(list)} \>listã®å†…容を行列型ã«ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã™ã‚‹\\ +\hyperlink{tab2list}{Tab2list(str，option)} \>str ã®å†…容をlistã«å¤‰æ›ã™ã‚‹\\ \hyperlink{writecsv}{Writecsv(namelist,data,option)} \>dataã®å†…容をcsvファイルã«æ›¸ã出ã™\\ - \\ -%\hypertarget{functionlist3d}{} - -ã€KeTCindy3D　è¨å®šãƒ»å®šç¾©ã€‘\\ -\hyperlink{ketinit3d}{Ketinit3d()}　\>KeTCindy3Dã®ä½¿ç”¨å®£è¨€\\ -\hyperlink{start3d}{Start3d()}　\>3Dã®é–‹å§‹\\ -　\\ -ã€KeTCindy3D　æ画】\\ -\hyperlink{bezier3d}{Bezier3d(name, リスト, リスト)}　\>空間ベジェ曲線をæã\\ -\hyperlink{changstyle3d}{Changstyle3d(リスト, リスト)}　\>3dプãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å±žæ€§ã‚’変更\\ -\hyperlink{concatobj}{Concatob(リスト,option)}　\>ã„ãã¤ã‹ã®objデータをçµåˆ\\ -\hyperlink{crvsfparadata}{Crvsfparadata(name,PD,PD2,å¼,opt,opt)}　\>曲線ã®æ›²é¢ã«ã‚ˆã‚‹é™°ç·šå‡¦ç†\\ -\hyperlink{datalist}{Datalist2d()}　\>ç”»é¢ã«æã‹ã‚Œã¦ã„ã‚‹ã™ã¹ã¦ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿\\ -\hyperlink{datalist}{Datalist3d()}　\>ç”»é¢ã«æã‹ã‚Œã¦ã„ã‚‹ã™ã¹ã¦ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿\\ -\hyperlink{dist3d}{Dist3d(点å,点å)}　\>空間ã®ï¼’点ã®è·é›¢\\ -\hyperlink{drawpoint3d}{Drawpoint3d(座標)}　\>空間点をæã\\ -\hyperlink{embed}{Embed(name,PD,å¼)}　\>埋ã‚è¾¼ã¿ãƒ‡ãƒ¼ã‚¿ä½œæˆ\\ -\hyperlink{intersectcrvsf}{Intersectcrvsf(name,PD,å¼)}　\>曲線ã¨æ›²é¢ã®äº¤ç‚¹ã‚’求ã‚ã‚‹\\ -\hyperlink{intersectsgpL}{IntersectsgpL(点å,線分,é¢,æ画方法)}　\>空間ã®ç›´ç·šã¨å¹³é¢ã®äº¤ç‚¹\\ -\hyperlink{invparapt}{Invparapt(座標,PD)}　\>æç”»é¢åº§æ¨™ã«å¯¾å¿œã™ã‚‹æ›²ç·šä¸Šã®åº§æ¨™\\ -\hyperlink{mkbezierptcrv3d}{Mkbezierptcrv3d(点リスト)}　\>制御点を自動的ã«ã¨ã‚‹ç©ºé–“ベジェ曲線\\ -\hyperlink{nohiddenbyfaces}{Nohiddenbyfaces(name,PD,PD,opt1,opt2)}　\>多é¢ä½“ã¨ç©ºé–“曲線を陰線処ç†\\ -\hyperlink{parapt}{Parapt(座標)}　\>点ã®æŠ•å½±é¢ã§ã®åº§æ¨™\\ -\hyperlink{partcrv3d}{Partcrv3d(name,始点,終点,PD)}　\>曲線PDã®éƒ¨åˆ†æ›²ç·šã‚’作る\\ -\hyperlink{perpplane}{Perpplane(点å, 点, ベクトル,option)}　\>点を通り垂直ãªå¹³é¢ä¸Šã®åŸºæº–点\\ -\hyperlink{perppt}{Perppt(点å,点,点リスト,option)}　\>å¹³é¢ã«ä¸‹ã‚ã—ãŸåž‚ç·šã®è¶³\\ -\hyperlink{phparadata}{Phparadata(name,name2,options)}　\>多é¢ä½“を陰線処ç†ã—ã¦æã\\ -\hyperlink{projcoordpara}{Projcoordpara()}　\>投影座標を求ã‚ã‚‹\\ -\hyperlink{putaxes3d}{Putaxes3d([x,y,z])}　\>軸上ã«å¹¾ä½•ç‚¹ã‚’ã¨ã‚‹\\ -\hyperlink{putonCurve3d}{PutonCurve3d(点å,PD)}　\>空間曲線上ã«ç‚¹ã‚’ã¨ã‚‹\\ -\hyperlink{putonseg3d}{Putonseg3d(点å,点1,点2)}　\>線分上ã«ç‚¹ã‚’ã¨ã‚‹\\ -\hyperlink{putpoint3d}{Putpoint3d(リスト,option)}　\>空間点をã¨ã‚‹\\ -\hyperlink{readobj}{Readobj(ファイルå)}　\>objファイルをèªã¿è¾¼ã‚€\\ -\hyperlink{reflectpoint3d}{Reflectpoint3d(点,リスト)}　\>点をé¡æ˜ \\ -\hyperlink{rotate3pt}{Rotate3pt( 点,vec,角度,点)}　\>空間点を回転\\ -\hyperlink{rotatedata3d}{Rotatedatat3d(name,PD,vec,角度,点)}　\>プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’回転\\ -\hyperlink{sf3data}{Sf3data(name, リスト,options)}　\>陰線処ç†ãªã—ã®ç©ºé–“曲é¢ã‚’æã\\ -\hyperlink{sfbdparadata}{Sfbdparadata(name, å¼,options)}　\>曲é¢ã‚’陰線処ç†ã—ã¦æã\\ -\hyperlink{skeletondatacindy}{Skeletondatacindy(name,PD,PD,options)}　\>スケルトン処ç†ã®ãƒ‡ãƒ¼ã‚¿ä½œæˆ\\ -\hyperlink{skeletonparadata}{Skeletonparadata(name,PD,PD,options)}　\>スケルトン処ç†ã®ãƒ‡ãƒ¼ã‚¿ä½œæˆ\\ -\hyperlink{spacecurve}{Spacecurve(name, å¼, 定義域,options)}　\>空間曲線ã®ãƒ‡ãƒ¼ã‚¿ä½œæˆ\\ -\hyperlink{spaceline}{Spaceline(リスト)}　\>空間ã®æŠ˜ç·šãƒ‡ãƒ¼ã‚¿ä½œæˆ\\ -\hyperlink{translatedata3d}{Translatedata3d(name,PD, 平行移動é‡)}　\>空間プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’平行移動\\ -\hyperlink{translatept3d}{Translatept3d(座標,平行移動é‡)}　\>空間点を平行移動\\ -\hyperlink{vertexedgeface}{VertexEdgeFace(é¢ãƒ‡ãƒ¼ã‚¿,option)}　\>é ‚ç‚¹ã¨é¢ã‹ã‚‰è¾ºã‚’求ã‚，辺をæã\\ -\hyperlink{wireparadata}{Wireparadata(name,PD,å¼,int,int,opt,opt)}　\>曲é¢ã®ãƒ¯ã‚¤ãƒ¤ãƒ•ãƒ¬ãƒ¼ãƒ を陰線処ç†\\ -\hyperlink{xyzax3data}{Xyzax3data(name,æ–‡å—,æ–‡å—,æ–‡å—,options)}　\>座標軸ã®è¡¨ç¤º\\ -\hyperlink{xyzcoord}{Xyzcoord(P.x,P.y,Pz.y)}　\>主副画é¢ã§æ±ºã¾ã‚‹ç‚¹ã®åº§æ¨™\\ -　\\ -ã€KeTCindymv】\\ -\hyperlink{moviedata}{Moviedata(str1,str2,options)}　\>動画データã®ä½œæˆ\\ -\hyperlink{setpara}{Setpata(str)}　\>パラパラ動画ã®ã‚¿ã‚¤ãƒˆãƒ«æŒ‡å®š\\ +\vspace{\baselineskip} +ã€ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã€‘\\ +%\hyperlink{moviedata}{Moviedata(str1,str2,options)} \>動画データã®ä½œæˆ\\ +\hyperlink{setpara}{Setpata(str)} \>パラパラ動画ã®ã‚¿ã‚¤ãƒˆãƒ«æŒ‡å®š\\ +ã€ã‚¹ãƒ©ã‚¤ãƒ‰ã€‘\\ +\hyperlink{settitle}{Settitle(タイトルlist,options)} \>スライドã®ã‚¿ã‚¤ãƒˆãƒ«è¨å®š\\ +ã€KeTCindy3D è¨å®šãƒ»å®šç¾©ã€‘\\ +\hyperlink{ketinit3d}{Ketinit3d()} \>KeTCindy3Dã®ä½¿ç”¨å®£è¨€\\ +\hyperlink{isangle}{Isangle} \>角度スライダãŒé¸æŠžã•ã‚Œã¦ã„ã‚‹ã‹\\ +\hyperlink{start3d}{Start3d()} \>3Dã®é–‹å§‹\\ +\hyperlink{startsurf}{Startsurf} \>曲é¢æç”»ã®åˆæœŸåŒ–\\ +\vspace{\baselineskip} +ã€KeTCindy3D æ画】\\ +\hyperlink{bezier3d}{Bezier3d(name, list, list)} \>空間ベジェ曲線をæã\\ +\hyperlink{changestyle3d}{Changestyle3d(list, list)} \>3dプãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å±žæ€§ã‚’変更\\ +\hyperlink{concatobj}{Concatobj(list,option)} \>ã„ãã¤ã‹ã®objデータをçµåˆ\\ +\hyperlink{crvsfparadata}{Crvsfparadata(name,PD,PD2,å¼,opt,opt)} \>曲線ã®æ›²é¢ã«ã‚ˆã‚‹é™°ç·šå‡¦ç†\\ +\hyperlink{datalist}{Datalist2d()} \>ç”»é¢ã«æã‹ã‚Œã¦ã„ã‚‹ã™ã¹ã¦ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿\\ +\hyperlink{datalist}{Datalist3d()} \>ç”»é¢ã«æã‹ã‚Œã¦ã„ã‚‹ã™ã¹ã¦ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿\\ +\hyperlink{dist3d}{Dist3d(点å,点å)} \>空間ã®2点ã®è·é›¢\\ +\hyperlink{drawpoint3d}{Drawpoint3d(座標)} \>空間点をæã\\ +\hyperlink{embed}{Embed(name,PD,å¼)} \>埋ã‚è¾¼ã¿ãƒ‡ãƒ¼ã‚¿ä½œæˆ\\ +\hyperlink{execcmdc}{ExeccmdC(name,options1,options2)} \>C言語ã§å‘½ä»¤å®Ÿè¡Œ\\ +\hyperlink{intersectcrvsf}{Intersectcrvsf(name,PD,å¼)} \>曲線ã¨æ›²é¢ã®äº¤ç‚¹ã‚’求ã‚ã‚‹\\ +\hyperlink{intersectsgpL}{IntersectsgpL(点å,線分,é¢,æ画方法)} \>空間ã®ç›´ç·šã¨å¹³é¢ã®äº¤ç‚¹\\ +\hyperlink{invparapt}{Invparapt(座標,PD)} \>æç”»é¢åº§æ¨™ã«å¯¾å¿œã™ã‚‹æ›²ç·šä¸Šã®åº§æ¨™\\ +\hyperlink{mkbezierptcrv3d}{Mkbezierptcrv3d(点list)} \>制御点を自動的ã«ã¨ã‚‹ç©ºé–“ベジェ曲線\\ +\hyperlink{nohiddenbyfaces}{Nohiddenbyfaces(name,PD,PD,opt1,opt2)} \>多é¢ä½“ã¨ç©ºé–“曲線を陰線処ç†\\ +\hyperlink{parapt}{Parapt(座標)} \>点ã®æŠ•å½±é¢ã§ã®åº§æ¨™\\ +\hyperlink{partcrv3d}{Partcrv3d(name,始点,終点,PD)} \>曲線PDã®éƒ¨åˆ†æ›²ç·šã‚’作る\\ +\hyperlink{perpplane}{Perpplane(点å, 点, ベクトル,option)} \>点を通り垂直ãªå¹³é¢ä¸Šã®åŸºæº–点\\ +\hyperlink{perppt}{Perppt(点å,点,点list,option)} \>å¹³é¢ã«ä¸‹ã‚ã—ãŸåž‚ç·šã®è¶³\\ +\hyperlink{phparadata}{Phparadata(name,name2,options)} \>多é¢ä½“を陰線処ç†ã—ã¦æã\\ +\hyperlink{pointdata3d}{Pointdata3d(åå‰,点list,options)} \>空間点ã®ãƒ‡ãƒ¼ã‚¿ã‚’作æˆã™ã‚‹\\ +\hyperlink{putaxes3d}{Putaxes3d([x,y,z])} \>軸上ã«å¹¾ä½•ç‚¹ã‚’ã¨ã‚‹\\ +\hyperlink{putonCurve3d}{PutonCurve3d(点å,PD)} \>空間曲線上ã«ç‚¹ã‚’ã¨ã‚‹\\ +\hyperlink{putonseg3d}{Putonseg3d(点å,点1,点2)} \>線分上ã«ç‚¹ã‚’ã¨ã‚‹\\ +\hyperlink{putpoint3d}{Putpoint3d(list,option)} \>空間点をã¨ã‚‹\\ +\hyperlink{readobj}{Readobj(ファイルå)} \>objファイルをèªã¿è¾¼ã‚€\\ +\hyperlink{reflectdata3d}{Reflectdata3d(点,PDlist,list,options)} \>PDã‚’é¡æ˜ \\ +\hyperlink{reflectpoint3d}{Reflectpoint3d(点,list)} \>点をé¡æ˜ \\ +\hyperlink{rotatedata3d}{Rotatedata3d(name,PD,vec,角度,点)} \>プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’回転\\ +\hyperlink{rotatepoint3d}{Rotatepoint(点 , vec , 角度 , 点)} \>点を回転\\ +\hyperlink{scaledata3d}{Scaledata3d(点, vec, ä¸å¿ƒ)} \>プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’拡大/縮å°\\ +\hyperlink{scalepoint3d}{Scalepoint3d(点, vec, ä¸å¿ƒ)} \>点ã®ä½ç½®ã‚’拡大/縮å°\\ +\hyperlink{sf3data}{Sf3data(name, list,options)} \>陰線処ç†ãªã—ã®ç©ºé–“曲é¢ã‚’æã\\ +\hyperlink{sfbdparadata}{Sfbdparadata(name, å¼,options)} \>曲é¢ã‚’陰線処ç†ã—ã¦æã\\ +\hyperlink{skeletonparadata}{Skeletonparadata(name,PD,PD,options)} \>スケルトン処ç†ã®ãƒ‡ãƒ¼ã‚¿ä½œæˆ\\ +\hyperlink{spacecurve}{Spacecurve(name, å¼, 定義域,options)} \>空間曲線ã®ãƒ‡ãƒ¼ã‚¿ä½œæˆ\\ +\hyperlink{spaceline}{Spaceline(name,list)} \>空間ã®æŠ˜ç·šãƒ‡ãƒ¼ã‚¿ä½œæˆ\\ +\hyperlink{translatedata3d}{Translatedata3d(name,PD, 平行移動é‡)} \>空間プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’平行移動\\ +\hyperlink{translatepoint3d}{Translatepoint3d(座標,平行移動é‡)} \>空間点を平行移動\\ +\hyperlink{vertexedgeface}{VertexEdgeFace(é¢ãƒ‡ãƒ¼ã‚¿,option)} \>é ‚ç‚¹ã¨é¢ã‹ã‚‰è¾ºã‚’求ã‚，辺をæã\\ +\hyperlink{wireparadata}{Wireparadata(name,PD,å¼,int,int,opt,opt)} \>曲é¢ã®ãƒ¯ã‚¤ãƒ¤ãƒ•ãƒ¬ãƒ¼ãƒ を陰線処ç†\\ +\hyperlink{xyzax3data}{Xyzax3data(name,æ–‡å—,æ–‡å—,æ–‡å—,options)} \>座標軸ã®è¡¨ç¤º\\ +\hyperlink{xyzcoord}{Xyzcoord(P.x,P.y,Pz.y)} \>主副画é¢ã§æ±ºã¾ã‚‹ç‚¹ã®åº§æ¨™ \end{tabbing} - -%3D第３節 \end{document} diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyguideE.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyguideE.tex new file mode 100644 index 00000000000..8ba5ed7707b --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyguideE.tex @@ -0,0 +1,1100 @@ +\documentclass[papersize,a4paper,12pt]{article} +\usepackage{ketpic,ketlayer} +\usepackage{amsmath,amssymb} +% \usepackage{amsmath,newtxmath} +%\usepackage[dvipdfmx]{graphicx,color} +\usepackage{graphicx,color} +\usepackage{wrapfig} +%\usepackage[dvipdfmx,bookmarks=false,colorlinks=true,linkcolor=blue]{hyperref} +\usepackage[bookmarks=false,colorlinks=true,linkcolor=blue]{hyperref} +\setmargin{20}{20}{15}{25} +\usepackage{setspace} +\usepackage{comment} +\usepackage{bm,enumerate} +\usepackage{pict2e} + +%\newcommand{\cmd}[1]{ +%\begin{center}{\bf\large #1}\end{center} +%\hypertarget{#1}{} +%} + +\newenvironment{cmd}[2]{ +\hypertarget{#2}{} +\begin{center}{\bf\large #1}\end{center} +\begin{description} +}{ +\end{description} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$Command List}\end{flushright} +} + +% item command for this documentation +\newcommand{\itemket}[1]{ +\item[\Ltab{27mm}{#1}] +} + + +\begin{document} +\title{Guide to \ketcindy} +\author{\ketcindy\ Project Team} +\maketitle + +\begin{center} - ver.3.2 -\end{center} + +\hypertarget{index}{} +\tableofcontents + +\newpage + +\section{About \ketcindy} + +\subsection{Overview} + +\ketcindy\ is a library of Cindyscript +which is a programming language of Cinderella. +It converts the data computed +for generating dynamic graphics on Cinderella +into \TeX\ graphical codes. +Synchronized use of +interactive graphics capabilities of Cinderella +and well-structured programming capabilities of Cindyscript +enables ordinary \TeX\ users to efficiently embed +high-quality graphics into \TeX\ documents. +Moreover, the collaborative use of \ketcindy\ +and other software such as R, Maxima and C +has been enabled. + +\begin{center} +\input{Fig/concept} +\end{center} + +Firstly, dynamic figure is generated on Cinderella. +Secondly, \ketcindy\ generates +a source file of R and makes R execute it +for the generation of \TeX\ graphical codes. +Thirdly, those codes are formatted into +\TeX\ file which is input in the targetting \TeX\ document +via the command \verb|\input|. +Finally, usual compilation procedure of \TeX\ results in +the generation of final PDF output +including the corresponding figure. +A batch file \verb|kc.bat| for Windows +or a shell file \verb|kc.sh| for Mac or Linux +is generated via \ketcindy\ +in order to batch-process all the steps +from the second to the last. +Also by using these files, +collaboration of Cinderella and other software +as shown in the schematic diagram above +is processed. + +Summarizingly, specific steps to generate a \TeX\ figure +are listed as follows. + +\begin{enumerate}[(1)] +\item +Generate the needed geometric elements +on the Euclidean view of Cinderella +using its drawing tools. +These elements can be moved interactively. + +\hspace{30mm}\includegraphics[bb=0.00 0.00 408.02 347.02,width=6cm]{Fig/incenter01.pdf} + +\item +Input the \ketcindy\ codes into Cindyscript editor +to specify the graphical elements to be displayed +in \TeX\ final output. +Also \ketcindy\ codes are used +to generate supplementary graphical elements +and handle them. + +\hspace{10mm}\includegraphics[bb=0.00 0.00 811.04 257.01,width=12cm]{Fig/incenter02E.pdf} + +In this stage, the programming capabilities +inherently implemented to Cindyscript can be used simultaneously. +Execute the whole program by clicking the "Run" button. +For more details, see section 3. + +\item +Click the button named \verb|Figures| in Euclidean view +to automatically generate the following files +in the folder named "fig". +Here, "incenter" is the name specified +via the command \verb|Setfiles("incenter")| +in step (2). + +\begin{tabbing} +12\=1234567897890123456\=\kill + + \> \verb|kc|.sh or \verb|kc.bat| \> shell script file(Mac) or batch file(Windows) \\ + \> \verb|incenter.r| \> \\ + \> \verb|incenter.tex| \> \TeX\ file composed of graphical codes\\ + \> \verb|incentermain.aux| \> \\ + \> \verb|incentermain.log| \> \\ + \> \verb|incentermain.pdf| \> PDF file to display the resulting graphical image\\ + \> \verb|incentermain.tex| \> \TeX\ file temporarily used to generate +the file \verb|incentermain.pdf| +\end{tabbing} + +Subsequently, the file \verb|incentermain.pdf| +is automatically displayed as shown below. + +\hspace{30mm}\includegraphics[bb=0.00 0.00 348.02 284.51,width=6cm]{Fig/incenter03.pdf} + +We can manipulate this final output +by modifying the inputs in steps (1) and (2) +before processing the step (3) again. + +\vspace{\baselineskip} +\item +Using \ketpic\ package of \TeX , +\verb|incenter.tex| can be read +into the targetting \TeX\ document +via the command +\begin{center} +\verb|\input{incenter}| +\end{center} +Then the same figure is embedded in the targetting PDF output. + +\end{enumerate} + + +\newpage + +\subsection{Geometric Figures} + +Producing geometric figures in the plane is easy. Moreover, we can add hatchings in some areas, which is better than shading +for monochrome printing. +The following are the main parts of the script. + +\begin{verbatim} + Listplot([A,B,C,A]); + Circledata([D,E]); + Bowdata([B,A],[1,0.5,"Expr=c","da"]); + Bowdata([C,B],[1,0.5,"Expr=a","da"]); + Bowdata([A,C],[1,0.5,"Expr=b","da"]); + Hatchdata("2",["oi"],[["crDE"],["sgABCA"]],["dr,0.7",""]); + Pointdata("I",D,["size=4"]); + Letter([A,"sw","A",B,"ne","B",C,"se","C",D,"se","I"]); +\end{verbatim} + +\begin{center} +\includegraphics[bb=0.00 0.00 416.00 347.00,height=42mm]{Fig/hatch.pdf} +\hspace{2mm} +\input{Fig/s106bowhatch.tex} +\end{center} + + +\subsection{Graphs of Functions} +\ketcindy\ can produce graphs of functions with +\begin{verbatim} + Plotdata("1","x^2","x"); +\end{verbatim} +or parametrically with +\begin{verbatim} + Paramplot("1","[2*cos(t),sin(t)]", "t=[0,2*pi]"); +\end{verbatim} +\noindent Here we give an example of the solution curve of a differential equation. The script is: +%\verb| // data are assigned to the variable de1.|\\ +%\verb| // [0,XMAX] is the range of t.|\\ +\begin{verbatim} + Deqplot("1","y``=-L.x*y`-G.x*y","t=[0,XMAX]",0,[C.y,0]); + // the equation is y''=-ay'-by (a=L.x, b=G.x). + // C.y,0 are initial values of y and y' at t=0. + Expr(M,"e","\displaystyle\frac{d^2 x}{dt^2}+" + +"+L.x+"\frac{dx}{dt}+"+G.x+"x=0"); +\end{verbatim} + +Note that points C, G, L on segments AB, EF, HK are movable, and +are used to decide the coefficients and the initial value as you can see in the above scripts. +\vspace{3mm} + +\begin{center} +\includegraphics[bb=0.00 0.00 385.00 398.00,height=60mm]{Fig/diffeq1.pdf} +\hspace{5mm} +\input{Fig/s210diffeq1.tex} + +\end{center} + +%\putnotes{35}{53}{\input{fig/s305incanddec.tex}} +%\putnotes{35}{110}{Figure \thefigno\ \ Table}\addtocounter{figno}{1}% +%\putnotes{97}{65}{\input{fig/kumamonthin.tex}} +%\putnotes{97}{59}{% +%\includegraphics[bb=0.00 0.00 183.63 142.07]{fig/figkumamon.pdf}} +%\putnotene{100}{72}{\input{fig/kumamoto.tex}} +%\putnotes{97}{110}{Figure \thefigno\ \ B\'ezier Curve}\addtocounter{figno}{1}% + +\subsection{Drawing Tables} +Writing the code for tables to be inserted into the \TeX\ documents is sometimes troublesome. +However, it is not a hard job for \ketcindy\ (see the output in Figure. + +\begin{verbatim} + xLst=apply(1..7,15); + yLst=[10,10,10,10,80]; + rmvL=apply(1..6,"c"+text(#)+"r4r5"); + rmvL=concat(rmvL,["r2c1c2","r3c1c2"]); + Tabledata("",xLst,yLst,rmvL); + Tlistplot(["c1r1","c2r4"]); + Tlistplot(["c2r1","c1r4"]); + Putrowexpr(1,"c", + ["x","0","\cdots","e","\cdots","e\sqrt{e}","\cdots"]); + Putrowexpr(2,"c",["y`","","+","0","-","-","-"]); + Putrowexpr(3,"c",["y``","","-","-","-","0","+"]); + Putrowexpr(4,"c",["y","","","10/e","","15/e\sqrt{e}",""]); + Putcell("c0r4","c7r5","c","\input{fig/graph}"); +\end{verbatim} + +\vspace{2mm} + +\begin{center} +\input{Fig/s305incanddec.tex} +\end{center} + + +\newpage + +\subsection{Plotting data} +Here we call the data computed +to generate the graphs of functions and geometric elements +"Plotting data" which is abbreviated as PD. +The PD to draw segment is the list of coordinates +of its two endpoints. +For example, +when the coordinates of the points A and B +are (1, 1) and (3, 2) respectively, +PD of the segment AB named \verb|Listplot ([A,B])| +is stored in the form \verb|[[1,1],[3,2]]|. +Also the PD to draw a curve is the collection of +those for drawing small segments +which connect contiguous dividing points of the curve. +PD are automatically given names via \ketcindy\ +following the rules below. + +\begin{itemize} +\item +The beginning part of the PD's name +depends on the kind of the corresponding graphical element. +For instance, +\verb|sg| is associated to segments and +\verb|cr| is associated to circles. + +\item +When some extra name is specified +as the first argument in the definition of PD, +it is added to the beginning part given above. +For instance, the PD defined below +is given the name \verb|sg1|. +\begin{center} +\verb|Listplot("1",[[0,0],[1,2]]);| +\end{center} + +\item +When the extra name is not needed, +the names of the points are added +to the beginning part given above. +For instance, the PD defined below +is given the name \verb|sgABC|. +\begin{center} +\verb|Listplot([A,B,C]);| +\end{center} + +\end{itemize} + +\noindent +Once PD are generated, +their names are displayed on the console view of Cinderella. +For instance, when the PD named \verb|sgABCA| is generated, +the corresponding message is displayed as shown below. + +\begin{center} +\includegraphics[bb=0.00 0.00 298.02 115.01,width=6cm]{Fig/pdtoconsole.pdf} +\end{center} +Also the content of PD is displayed +via the function \verb|println()| of Cindyscript. +For instance, inputting the command +\verb|println(sgABCA)| makes the following list displayed. +\begin{center} +\verb| [[1,3],[-1,0],[3,0],[1,3]] | +\end{center} +This list is composed of the coordinates of the points A, B, and C. + +These names of PD are used +when the corresponding PD need to be transformed. +For instance, +PD to draw the parallel transport of the segment AB +is generated via the \ketcindy\ command +\begin{center} +\verb|Translatedata("1","sgAB",[2,3]);| +\end{center} + +PD can be generated also +by using the programming capability of Cindyscript +which can be subsequently used in \ketcindy . +For more details, +see the example of \verb|Listplot()| +in the command reference. +Inclusion of too much elements into a single PD +may cause some error. +To prevent such error, +PD should be divided into several PD +each of which is composed of 200 elements or so. + + +\newpage + +\section{Cindyscript} + +\subsection{Cindyscript editor} + +Choose "Cindyscript" in the "Scripting" menu +or push keybuttons Ctrl+9 (Windows) / Command+9 (Mac), +then Cindyscript editor opens as shown below. + +\begin{layer}{150}{0} +\putnotese{7}{15}{\includegraphics[bb=0.00 0.00 703.04 425.02,width=14cm]{Fig/slotE.pdf}} +\arrowlineseg[16]{30}{20}{10}{90} +\putnotese{25}{5}{Slots} +\arrowlineseg[16]{50}{20}{10}{100} +\putnotese{42}{5}{Page name} +\arrowlineseg[16]{90}{20}{10}{110} +\putnotese{80}{5}{Font size} +%\arrowlineseg[16]{107}{20}{15}{140} +%\putnotese{80}{5}{æç”»é¢ã‚’å‰é¢ã«} +\arrowlineseg[16]{135}{20}{10}{110} +\putnotese{125}{5}{Run} +\arrowlineseg[16]{142}{20}{10}{100} +\putnotese{135}{5}{Help} +\putnotese{100}{35}{Text field} +\putnotese{100}{80}{Console} +\end{layer} + +\vspace{105mm} + +Commands can be input into preferred "slot". +Specific timing for execution of commands +is assigned to each slot. +The slot for current work can be chosen +only by clicking the corresponding tab in the menu. +Users can add extra pages to each slot. +For instance, +when some initialization other than +those included in \verb|KETlib| is needed, +clicking the folder icon of "Initialization" makes a new page open +in which extra commands can be input. +The name of each page can be given +by directly inputting it into the "Page name" column. +The font size of the scripts can be tuned +by changing the number in the "Font size" column. +Frequently used slots are listed below. + +\begin{itemize} + +\item +Draw + +The commnds in this slot are executed +when some change, like movement of point, +occurs in the Euclidean view. +In \verb|templatebasic1.cdy|, +the protoype page named \verb|figure| +including the \ketcindy\ commnads +like \verb|Ketinit();| and \verb|Windispg();| +which are unconditionally necessary +has been prepared. +The \ketcindy\ commands for drawing +should be input into this slot. + +\item +Initialization + +The definitions of functions +and the initial values of variables +are input here. +The commands in this slot are exected +only once just after the "Run" button is clicked. +Thus, the initial data in this slot is changed +when some modifications are made in other slots. +In \verb|templatebasic1.cdy|, +the protoype page named \verb|KETlib| +including the default setting of \ketcindy\ +has been prepared. + +\item +Key Typed + +The commnds in this slot are executed +when some key is pushed. + +\end{itemize} + +Clicking "Run" button or pushing the keybuttons Shift+Enter +makes the whole program be executed. +The results derived from executing the function \verb|print()| +and error messages are displayed on the console view +which is put at the bottom part of Cindyscript editor. +Each error and its location +is displayed together with the message +"WARNING" or "syntax error". +The outputs displayed on the console +can be copied to other usual text editors. + +Click the "Help" button, +then reference manual of Cinderella opens +as shown below. \\ + +\includegraphics[bb=0.00 0.00 712.04 577.03,width=14cm]{Fig/CindyhelpE.pdf} + + +\subsection{Input} + +The attribute of each input into Cindyscript +is specified via the color of the corresponding letters +as listed below. + +\begin{itemize} +\item +The functions which are inherently implemented to Cinderella +are displayed via blue color. +\item +The functions which are defined by user, +including those of \ketcindy , +are displayed via purple color. +\item +The functions which are not yet defined +are displayed via red color. +\item +Strings are displayed via green color. +\end{itemize} +As in the console view, +copying and pasting to the other usual editing software +via pushing the keybuttons Ctrl+C and Ctrl+V +is accessible. +Cutting and pasting via Ctrl+X and Ctrl+V +is also possible. +Also as in the other editing software, +preferred strings can be specified +via dragging mouse +or pushing the keybutton Shift and moving the sursor. +Serching for words via pushing Ctrl+F +has not been enabled. + +The fundamental rule of describing scripts on Cindyscript editor +are listed below. +\begin{itemize} +\item +Upper- and lowercase letters are distinguished. +Using lowercase letters is preferable. +\item +As in \TeX , +several blanks are regarded as a single blank. +\item +A semicolon should be located at the end of each row. +Starting a new paragraph +does not result in the ending of commnds. +\end{itemize} +Particularly, in case of \ketcindy , +the input of commands are controlled +by the following rules. +\begin{itemize} +\item +The names of global variables +begin with uppercase letters. +\item +The names of local variables +begin with lowercase letters. +Local variables are declared at the beginning part +of the definitions of functions +along with the Cinderella command \verb|regional()|. +\item +The names of functions +begin with uppercase letters. +\end{itemize} + + +\subsection{Variables and constants} + +The declaration of the attribute of each variable +is not needed in Cindyscript +since it is automatically decided +according to the input. +Moreover, +the different kind of value +can be input without any declaration. \\ + +\noindent +{\bf Example} + +\verb| a=10;| + +\verb| b=2;| + +\verb| c=a+sqrt(b);| + +\verb| a="the square root of"| + +\verb| println("The sum of"+a+b+''and 10 is''+c);|\\ + +In this example, +the attribute of variable \verb|a| was firstly integer, +and then changed to string at the fourth row. + +The strings should be input with double quotation marks. +The mathematical operations +which involve several kind of variables +must be taken much care. +Exceptionally, +connecting string and number with \verb|+| +results in the generation of one single string. + +The variable \verb|pi| is reserved in Cindyscript +as the ratio of the circumference of a circle to its diameter. +Also the variable \verb|i| is reserved +as the imaginary unit. +When \verb|i| is used as variable once, +it is changed to the imaginary unit via the command +\begin{center} +\verb|i=complex(0,1);| +\end{center} + +There are also some reserved variables in \ketcindy . +Among them, the following ones can be changed by users. +\begin{tabbing} +12\=3456789012345\=678989012345678901234567890123\=\kill +\>\verb|Fhead| \>the beginning part of the file name +which can be set by \verb|Setfiles()|\\ +\>\verb|Texparent| \>the name of parent file +which can be set by \verb|Setparent()|\\ +\>\verb|Dirhead| \>the beginning part of the path\\ +\>\verb|Dirlib| \>the path to the library ketlib\\ +\>\verb|Dirbin| \>the path to ketbin\\ +\>\verb|Dirwork| \>the path to the working directory +which can be set by \verb|Changework()|\\ +\>\verb|Shellfile| \>the name of shell file +\end{tabbing} +Contrarily, the reserved variables listed below are the global variables +usend in the library of \ketcindy , whence cannot be changed +by users. + +\vspace{\baselineskip} +\noindent +ADDAXES, ArrowlineNumber, ArrowheadNumber, BezierNumber, COM0thlist, COM1stlist, COM2ndlist, Dq, FUNLIST, Fnamesc ，Fnamescibody，Fnameout，Fnametex, GDATALIST, GLIST, GCLIST, GOUTLIST, KCOLOR, KETPICCOUNT,KETPICLAYER, LETTERlist, LFmark, MilliIn, PenThick,PenThickInit, POUTLIST, SCALEX, SCALEY, SCIRELIST, SCIWRLIST, TenSize, TenSizeInit, ULEN, XMAX, XMIN, YaSize, YaThick, YMAX, YMIN, VLIST + +\vspace{\baselineskip} + +A list can be defined by putting its elements in a square bracket +with commas separating each other. +The attribute of each element does not matter. +The $n$-th element can be referred by using an underbar. +For instance, the commands + +\begin{verbatim} + list=[1,2,3,4,5]; + list_2="a"; +\end{verbatim} +make the second element be substituted by the letter \verb|"a"|. + + +\subsection{Frequently used commands} + +\noindent +{\bf Displaying the computed output} + +\noindent +The following commands +make the current value of the variable +on the console view. + +\begin{tabbing} +12345\=6789012345678989012345678901234567890\=123\=\kill +\>\verb|print(the name of variable);| \> without a line break\\ +\>\verb|println(the name of variable);| \> with a line break\\ +\end{tabbing} + +\noindent +{\bf Conditional branching} + +\noindent +The commnad \verb|if(A,B,C)| executes \verb|B| if \verb|A| is true +and \verb|C| otherwise. +The followings are frequently used. +Nested conditions can be interpreted. + +\begin{tabbing} +12345\=67890123456789890\=12345678901234567890123\=\kill +\>\verb|if(a>b,...);|\\ +\>\verb|if(a<b,...);|\\ +\>\verb|if(a>=b,...);| \> $a\geqq b$\\ +\>\verb|if(a<=b,...);| \> $a\leqq b$\\ +\>\verb|if(a=b,...);|\\ +\>\verb|if(a!=b,...);| \> $a\neq b$\\ +\end{tabbing} + +\noindent +{\bf Loop program} + +\noindent +The commnad \verb|for(n,operation)| executes the operation +$n$ times. If the counter should be specified, +modify the command as \verb|for(n,s,operation)|. +where the value of $s$ is successively changed. +Loop program with respect to some list instead of counter +is also possible via the command as \verb|forall(list,operation)|. +For example, the commands + +\begin{verbatim} + sglist=[[A,B],[C,D],[E,F]]; + forall(sglist,Listplot(#)); +\end{verbatim} +have the same output as +\begin{verbatim} + Listplot([A,B]); + Listplot([C,D]); + Listplot([E,F]); +\end{verbatim} + +\noindent +{\bf User's definition of functions} + +\noindent +The format of definition is \verb|function name(argument):=(operation)|. +For example, if we define the function \verb|sign(n)| by +\begin{verbatim} + sign(n):=( + if(n>0,print("positive"),print("0 or negative")); + ); +\end{verbatim} +it can be used as +\begin{verbatim} + n=3; + println(sign(n)); +\end{verbatim} + +\mbox{} + +\noindent +{\bf Reference to geometric elements} + +\noindent +The position of a point can be specified +with both its name and the list of its $x,y$-coordinates. +Thus, both of the following formats are allowed. +\begin{verbatim} + Listplot("1",[[1,1],[4,5]]); + Listplot("1",[A,B]); +\end{verbatim} +Also we can get the coordinate of a point explicitly +via the commands +like \verb|A.xy|, \verb|A.x|, and \verb|A.y|. + +\mbox{} + +\noindent +{\bf List processing} + +\noindent +The list of integers between $a$ and $b$ +is generated via the command \verb|a..b|. +For instance, the synchronized use with the command \verb|apply| +as below gives the shape of pentagram. +\begin{verbatim} + r=2; + pt=apply(0..5,r*[cos(pi/2+#*4*pi/5),sin(pi/2+#*4*pi/5)]); + repeat(5,s,Listplot(text(s),[pt_s,pt_(s+1)])); +\end{verbatim} +Here the Cindyscript command \verb|text| +is used to convert the number into string. + + + +% -------------- Calling other softwares -------------- + +\newpage + +\section{Collaboration with other softwares} + +\subsection{Overview} + +\ketcindy\ has functionalies to call other softwares such as Maxima, Risa/Asir, R and C. +Here, we introduce how to call Maxima.\vspace{1mm} + +The steps are as follows.\vspace{-2mm} + +\begin{enumerate} +\item Generate the shell file to call a CAS.\vspace{-2mm} +\item Execute the file.\vspace{-2mm} +\item Return the result as text.\vspace{-2mm} +\item Use the result in \ketcindy .\vspace{-2mm} +\item Produce the PDF file.\vspace{-2mm} +\end{enumerate} + +And the flowchart is as follows: +\begin{center} +{\scalebox{0.9}{\input{Fig/calling.tex}}} + +\end{center} + +When interfacing with Maxima, commands \texttt{Mxfun}, \texttt{CalcbyM} and \texttt{Mxtex} are all we need to complete the task. \texttt{Mxfun} and \texttt{CalcbyM} are for calling single command and multi commands of Maxima respectively. \texttt{Mxtex} is used for code conversion to \LaTeX. The output of Maxima is returned to \ketcindy\ as a string or a list of strings for further processing. + +The options of these commands are:\\ +\hspace*{10mm}\Ltab{25mm}{{\tt "m/r"}}To decide whether the result file will be made again or not. \\ +\hspace*{10mm}\Ltab{25mm}{}If these options are not given, \ketcindy\ decides automatically.\\ +\hspace*{10mm}\Ltab{25mm}{{\tt "Disp=y/n"}}To decide whether the result will be displayed in the console or not. \\ +\hspace*{10mm}\Ltab{25mm}{}It is only availabe for \texttt{Mxfun} and \texttt{Mxtex}. +The default is "y". + + +\subsection{Commands related to Maxima} + +\subsubsection*{Mxfun} + +The arguments are name of variable in \ketcindy, name of a function of Maxima, and a list of arguments of the function.\\ +\hspace*{10mm}\verb|Mxfun("1","diff",["sin(x)","x"]);| // The return is "cos(x)", assgined to mx1.\\ +The above is equivallent to\\ +\hspace*{10mm}\verb|Mxfun("1","diff(sin(x),x)",[]);| + + +\subsubsection*{Mxtex} + +The arguments are name of variable in \ketcindy, an expression in Maxima format.\\ +\hspace*{10mm}\verb|Mxtex("1",mx1);| // The return is \verb|"\cos x"|, assgined to tx1.\\ +\hspace*{10mm}\verb|Expr([0,1],"e",tx1]);| + +\begin{center} +\input{Fig/maxima1.tex} +\end{center} + +\subsubsection*{CalcbyM} + +The arguments are name of variable in \ketcindy, a list of commands and the arguments of Maxima.\\ +\hspace*{10mm}\verb|fn="sin(x)^4";|\\ +\hspace*{10mm}\verb|cmdL=[|\\ +\hspace*{10mm}\verb| "df:diff",[fn,"x"],|\\ +\hspace*{10mm}\verb| "df:ratsimp",["df"],|\\ +\hspace*{10mm}\verb| "F:integrate",[fn,"x"],|\\ +\hspace*{10mm}\verb| "F","ratsimp",["F"],|\\ +\hspace*{10mm}\verb| "df::F",[]|\\ +\hspace*{10mm}\verb|];|\\ +\hspace*{10mm}\verb|CalcbyM("ans",cmdL);|\vspace{2mm}\\ +The returned value is a list of df and F as strings, though these are not displayed in the console. They can be used, for example,\vspace{2mm}\\ +\hspace*{10mm}\verb|Plotdata("1",fn,"x",["Num=200","do"]);|\\ +\hspace*{10mm}\verb|Plotdata("2",ans_1,"x",["Num=200","dr"]);|\\ +\hspace*{10mm}\verb|Plotdata("3",ans_2,"x",["Num=200","da"]);|\\ +\hspace*{10mm}\verb|Mxtex("1",fn);|\\ +\hspace*{10mm}\verb|Mxtex("1",ans_1);|\\ +\hspace*{10mm}\verb|Mxtex("2",ans_2);|\\ +\hspace*{10mm}\verb|Expr([A,"e",tx1,B,"e",tx2,C,"w",tx3]);| + +\vspace{2mm} + +\begin{center} +\input{Fig/s10diffint.tex} +\end{center} + +\noindent +{\bf Remark} See KeTCindyreferenceE.pdf for more information. + +\subsection{Commands related to R} + +\verb|Rfun| and \verb|CalcbyR| are simillar to \verb|Mxfun| and \verb|CalcbyM|.\\ + See \verb|KeTCindyreferenceE.pdf| or \verb|samples/s08R| for more information. + +% -------------- 3d figures -------------- + +\newpage + +\section{Three Dimentional figures of \ketcindy} + +\subsection{Summary and Geometric Elements} + +In KeTCindy's 3D-mode, there are two rectangular areas surrounded by a white frame on the Euclidean view. + +The main area on the left side of the screen is simillar to that of two dimentional figures. Figures in this area will be drawn to the \TeX\ document. The view direction can be moved with sliders under the main area. \verb|TH| and \verb|FI| mean angles $\theta$ and $\varphi$ respectively, which are polar cocordinates of the view direction. + +Figures from the view direction $(0,\ \varphi)$ are displayed in the sub area on the right side. + + \hspace{40mm} mainarea \hspace{40mm} subarea +\begin{center} +\includegraphics[bb=0.00 0.00 863.04 378.52,width=12cm]{Fig/3dscreen.pdf} +\end{center} + +With internal command \verb|Ptseg3data| which is called in \verb|Start3d|, +a point put to the main area with the drawing tool of Cinderella is regarded as a 3D point by \ketcindy, and a correspoinding point is put in the sub area. +Though the initial coordinate of $z$ is 0, we can change it moving the point in the sub area. + +For example, if we put point \verb|A| on the main area, point \verb|Az| will be put in the sub area and the 3D coordinates calculated from \verb|A| and \verb|Az| are assigned to varible \verb|A3d|.\vspace{-1mm} + +\begin{description} +\item[\bf Remark]Note that point \verb|Az| will not be deleted automatically even if point \verb|A| is deleted. We should delete it manually. +\end{description} + +Geometric segment in the main area generates the corresponding geometric segment in the sub area as well. + +\subsection{Lines and Curves} + +\ketcindy\ commands \verb|Spaceline| and \verb|Spacecurve| are used do draw lines and curves in the space. Additionally, \verb|Xyzax3data| is used to draw axis. + +\begin{description} +\item[Examples]\mbox{}\\ +\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]");|\\ +\verb|Spacecurve("1","3*[cos(t),sin(t),0.1*t]","t=[0,4*pi]",["Num=200"]);|\\ +\verb|pt1=[3,0,0]; pt2=[3,0,3*0.1*4*pi];|\\ +\verb|Spaceline("1",[pt1,pt2]);|\\ +\verb|Skeletonparadata("1");| + +\item[Remark]The last command skeleton elimination is for skeleton elimination. +Compare two figures below. The right one is with skeleton elimination. + +\end{description} + +\begin{center} +\input{Fig/spacelinecurve1.tex}\hspace{10mm}\input{Fig/spacelinecurve2.tex} +\end{center} + +\subsection{Two Dimensional Figures} + +Data of two dimensional figures such as polyhedra or planes are given in obj format. + +\begin{description} +\item[Examples]\mbox{}\\ +\verb|Start3d();|\\ +\verb|vertex=[[2,2,-2],[2,-2,-2],[-2,-2,-2],[-2,2,-2]];|\\ +\verb|Reflect3d1(``1'',vertex,[[0,0,0],[1,0,0],[0,1,0]];|\\ +\verb|vertex=concat(vertex,ref3d1);|\\ +\verb|edge=[[1,2,6,5],[1,5,8,4],[1,4,3,2],[2,3,7,6],[3,4,8,7],[5,6,7,8]];|\\ +\verb|cube=[vertex,edge];|\\ +\verb|plane=[[[-3,1,-3],[3,-1,-3],[-4,5,3],[2,3,3]],[[1,2,4,3]]];|\\ +\verb|tmp=Concatobj([cubic,plane]);|\\ +\verb|VertexEdgeFace("1",tmp,["Vtx=nogeo","Edg=nogeo"]);|\\ +\verb|Nohiddenbyfaces("1","phf3d1");| // for the figure on the left + +\item[Remark]\mbox{}\\ +Command \verb|Concatobj| combines data in obj format.\\ +Command \verb|VertexEdgeFace| assigns vertices to {\tt phv}, edges to {\tt phe} and faces to {\tt phf}.\\ +Command \verb|Nohiddenbyfaces| is for hiddenline elimination.\\ +Use \verb|Skeletonparadata("1")| if the figure on the right is desirable. +\end{description} + +\vspace{-10mm} + +\begin{center} +\input{Fig/polygonplane1.tex}\hspace{10mm}\input{Fig/polygonplane2.tex} +\end{center} + +\noindent +{\bf Remark} See \verb|KeTCindyreferenceE.pdf| or \verb|samples/s05spacefigure| for more information. + +\subsection{Surfaces} + +Two variable function is defined as a list of one of the followings. + +\begin{enumerate}[\hspace*{5mm}\bf 1.] +\item \verb|["z=f(x,y)","x=[a,b]","y=[c,d]"]| +\item \verb|["z=f(x,y)","x=x(u,v)","y(u,v)","u=[a,b]","v=[c,d]"]| +\item \verb|["p","x=x(u,v)","y=y(u,v)","z=z(u,v)","u=[a,b]","v=[c,d]"]| +\end{enumerate} + +Optionally, you can add what boundaries should be drawn. +The default is "wesn". Here, for example, "w" means the boundary defined by $[a,t]\ (c\leqq t\leqq d)$. + +\ketcindy\ calls C to speed up the calculation of hidden lines elimination. + +\begin{description} +\item[Example]\mbox{}\\ +\verb|Start3d();|\\ +\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]");|\\ +\verb|fd=["z=x^2-y^2","x=[-2,2]","y=[-2,2]","senw"];|\\ +\verb|Startsurf();|\\ +\verb|Sfbdparadata("1",fd);|\\ +\verb|Crvsfparadata("1","ax3d","sfbd3d1",fd);|\\ +\verb|ExeccmdC("1");| +\verb|Windispg();| + +\begin{center} +\input{Fig/saddle1E.tex}\hspace{10mm}\input{Fig/saddle2E.tex} +\end{center} + +\item[Remark]Wires can be added if necessary with command \verb|Wireparadata| as seen in the upper right side figure. +The line-style also can be changed. + +See \verb|KeTCindyreferenceE.pdf| or \verb|samples/s09surfaceC| for more information. +\end{description} + +\subsection{Generating Files in Obj Format} + +\ketcindy\ can generate files of 3D figures in obj format. Moreover, \ketcindy\ also can call Meshlab which is a 3D viewer. + +\begin{description} +\item[Examples]\mbox{}\\ +\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]");|\\ +\verb|fd=["p","x=4*sin(V)*cos(U)","y=4*sin(V)*sin(U)","z=4*cos(V)",|\\ +\verb| "U=[pi/2,4*pi/2]","V=[0,pi]","we"];|\\ +\verb|Mkobjcmd("1",fd,[40,40,"-"]);|\\ +\verb|Mkobjcrvcmd("2","ax3d",[0.05,"xy"]);|\\ +\verb|Mkobjsymbcmd("x",0.2,0,[0,1,0],[5.2,0,0]);|\\ +\verb|Mkobjsymbcmd("y",0.2,0,[1,0,0],[0,5.2,0]);|\\ +\verb|Mkobjsymbcmd("z",0.2,0,[0,1,0],[0,0,5.2]);|\\ +\verb|SetObj();| +\item[Remark]See \verb|KeTCindyreferenceE.pdf| or \verb|samples/s13meshlab| for more information. +\end{description} + +% -------------- Making slide -------------- + +\newpage + +\section{Making Slides} + +\subsection{Outline} + +\ketcindy\ has functions to make slides for presentation with the help of \verb|layer| environment which is defined in \verb|ketlayer.sty|. +See \verb|KeTpicStyleE.pdf| for details about \verb|layer|. + +You need both a cindy file and a text file with the same header. For simple preparation, copy \verb|template2slide.cdy| to your work folder, rename the name, for example \verb|makeslide.cdy|, double click the file and press the button \verb|title| in the screen, then \verb|makeslide.txt| will be generated. + +The following chart shows the relation between them. + +\begin{center} +\input{Fig/makeslideE} +\end{center} + +If necessary, edit \verb|Settitle| in CindyScript editor, and press the gear mark. Open the text file, and write commands of \ketcindy\ Slide and \TeX\ as follows. + +\begin{verbatim} + title::slide0// + main::Introduction// + \slidepage[m]// + new::Programming Language// + %repeat=6,para// + \slidepage// + itemize// + item::Python// + %thin[2,-]::item::Ruby// + %thin[3,-]::item::Java// + %thin[4,-]::item::JavaScript// + %thin[5,-]::item::CindyScript// + %thin[6,-]::item::C// + end// +\end{verbatim} + +\begin{description} +\item[Remark]``//'' should be added to the end of all lines. Use ``||||'' when you want to write \verb|//|. +\end{description} + +%\begin{center} +%\includegraphics[bb=0.00 0.00 743.00 632.00,height=60mm]{fig/slidescreen.pdf}\hspace{5mm} +%\includegraphics[bb=0.00 0.00 802.00 633.00,height=60mm]{fig/slidescript.pdf} +%\end{center} + +Press the button \verb|Slide| in Cindy Screen, then \ketcindy\ will make \TeX\ file \verb|makeslide.tex|, +typeset it and displays the pdf file as follows. If there occurs an error, check the text file or the \TeX\ file. + +\begin{center} +\fbox{\includegraphics[bb=0.00 0.00 542.00 385.00,height=35mm]{Fig/slidepdf1.pdf}}\hspace{5mm}% +\fbox{\includegraphics[bb=0.00 0.00 541.00 380.00,height=35mm]{Fig/slidepdf2.pdf}}\hspace{5mm}% +\fbox{\includegraphics[bb=0.00 0.00 543.00 382.00,height=35mm]{Fig/slidepdf3.pdf}}\hspace{5mm}% +\end{center} + +\subsection{Commands of \ketcindy\ slide} + +You can use the following commands.\\ +\verb| title::slide0 (::wallpaper)//|\\ +\verb| Rem) Put only once at the first line.|\\ +\verb| main::(main title)//|\\ +\verb| new::(page title)//|\\ +\verb| enumerate//|\\ +\verb| =\begin{enumerate}|\\ +\verb| Rem) Add the option such as [(1)] using :: .|\\ +\verb| itemize//|\\ +\verb| =\begin{itemize}|\\ +\verb| layer::{xsize}{ysize}//|\\ +\verb| =\begin{layer}{xsize}{ysize}|\\ +\verb| Rem) "layer" is an environment defined in ketlayer.sty.|\\ +\verb| item::sentence//|\\ +\verb| =\item sentence|\\ +\verb| putnote::dir{xpos}{ypos}::filename(,scale)//|\\ +\verb| =putnotedir{xpos}{ypos}{\input{fig/filename}}||\\ +\verb| Rem) "putnote" is a command defined in ketlayer.sty|\\ +\verb| end//|\\ +\verb| =\end{itemize,enumerate,layer}|\\ +\verb| ...//|\\ +\verb| To insert a blank line.| + +\noindent +You can also use the following \TeX\ mcores added by \ketcindy.\\ +\verb| \slidepage,\slidepage[m]//|\\ +\verb| To display the number each page.|\\ +\verb| \slidepage[m] is used for the \verb|main| page.|\\ +\verb| \setthin{thickness}|\\ +\verb| To change the thickness of thin letters temporarily.|\\ +\verb| \inputsound, \inputmovie|\\ +\verb| To insert mp3/mp4 files.| + + +\begin{description} +\item[Remark]Any other \TeX\ macroes are available. Put \verb|%%| instead of \verb|%| to comment out . +\end{description} + + +\subsection{Display of Page step by step} + +\begin{enumerate}[1)] +\item Put just after new,\\ +\verb| %repeat=number of steps//| +\item Put at the head of each line as\\ +\verb| %[2,-]::sentences|\\ +\verb| display at all steps from 2|\\ +\verb| %[-,2]::sentences|\\ +\verb| display at all steps until 2|\\ +\verb| %[1..3,5]::sentences|\\ +\verb| display at steps of 1,2,3 and 5| +\item Use \verb|%thin| to display with thin letters.\\ +\verb| %thin::[2,-]::sentence| +\item The dencity can be changed with Setslidebody or \verb|\setthin|. +\end{enumerate} + +\subsection{Making Flip Animation} + +\begin{enumerate}[1)] +\item Define function \verb|Mf(s)|, the state at s. +\item Put command \verb|Setpara| in the script editor as\\ +\verb| Setpara(subfolder,funcitonstr(mf(s)),range,options);|\\ +\verb| options=["m/r", "Div=25"];| +\item Describe in the text file as\\ +\verb| %repeat=, para=subfolder:{0}:s{60}{10}:input(:scale)//| +\item Press buttons \verb|ParaF| and \verb|Flip|, then \verb|subfolder| will be generated. +\item Press button \verb|Slide|. +\end{enumerate} + +\subsection{Making Animation} + +\begin{enumerate}[1)] +\item Add the following in the script editor\\ +\verb| Addpackage(["[dvipdfmx]{animate}"]);| +\item Add in the second option of Setpara,\\ +\verb| "Frate=num of frame in the second,"Scale=scale,"OpA=option of animation" | +\item Press buttons \verb|ParaF| and \verb|Anime|, then \verb|subfolder| will be generated. +\item Use \verb|\input|, not layer, to display. +\end{enumerate} + +\subsection{Commands to Insert a mp3/mp4 file} + +To insert a mp3 or mp4 file, change the first line to\\ +\verb| title::slide0|\\ +\verb| ::\usepackage{ketmedia}|\\ +\verb| ::\usepackage[dvipdfmx]{media9}//|\vspace{2mm} + +\noindent +Use \verb|\inputsound| or \verb|\inputsoundclick| for mp3 files.\\ +\verb| \inputsountclik[90]{folder/}{mp3file} %starts when the button clicked|\\ +The arguments are horizontal position(default is 90) of buttons, the folder, the file name. +\vspace{2mm} + +\noindent +Use \verb|\inputmovie| for mp4 files.\\ +\verb| \inputsountclik[90]{1}{0.4}{folder/}{mp4file} %starts when the button clicked| +The 2nd and 3rd arguments are width and height as the coefficiients of \verb|\linewidth| + +\subsection{Changing Style} + +The default styles such as size and color of letters can be changed. +See \verb|KeTCindyReferenceE,pdf| or \verb|samples/s07slides|. + +\end{document}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyguideJ.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyguideJ.tex new file mode 100644 index 00000000000..24f34577315 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyguideJ.tex @@ -0,0 +1,583 @@ +\documentclass[papersize,a4paper,12pt,uplatex]{jsarticle} +\usepackage{ketpic,ketlayer} +\usepackage{amsmath} +% \usepackage{amsmath,newtxmath} +\usepackage[dvipdfmx]{graphicx,color} +\usepackage{wrapfig} +\usepackage[dvipdfmx,bookmarks=false,colorlinks=true,linkcolor=blue]{hyperref} +\setmargin{20}{20}{15}{25} +\usepackage{setspace} +\usepackage{comment} +\setcounter{tocdepth}{3} + +\begin{document} +\title{\ketcindy ã®æ¦‚è¦} +\author{\ketcindy\ Project Team} +\maketitle + +\begin{center} - 第3.2版 -\end{center} +\hypertarget{index}{} +\tableofcontents + +\newpage + +\section{\ketcindy ã«ã¤ã„ã¦} +\subsection{システムã®æ§‹æˆ} +\ketcindy ã¯ï¼ŒCinderella ã®ä½œå›³æ©Ÿèƒ½ã‚’利用ã—ã¦ï¼Œä½œå›³ãƒ‡ãƒ¼ã‚¿ã®\LaTeX ファイルを作æˆã™ã‚‹ãŸã‚ã®ã‚¹ã‚¯ãƒªãƒ—トライブラリã§ã‚る。\ketcindy ã¯Cinderellaã®ãƒ—ãƒã‚°ãƒ©ãƒŸãƒ³ã‚°è¨€èªžCindyscriptã§è¨˜è¿°ã•ã‚Œã¦ãŠã‚Šï¼Œãƒ¦ãƒ¼ã‚¶ãƒ¼ã¯Cinderella ã«ã‚ˆã‚‹ã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ãªä½œå›³æ©Ÿèƒ½ã¨ï¼ŒCindyScript ã«ã‚ˆã‚‹ãƒ—ãƒã‚°ãƒ©ãƒŸãƒ³ã‚°ã‚’用ã„ã¦ï¼Œ\LaTeX 文書ã®æŒ¿å…¥å›³ã‚’効率よã作æˆã™ã‚‹ã“ã¨ãŒã§ãる。ã¾ãŸï¼Œå„種数å¼å‡¦ç†ã‚½ãƒ•ãƒˆã¨é€£æºã—ã¦è¨ˆç®—ã‚’è¡Œã†ã“ã¨ãŒã§ãる。 + +\begin{center} +\scalebox{0.9}{ \input{Fig/concept}} +\end{center} + +Cinderellaã§ä½œå›³ã—ãŸå›³ã®ãƒ‡ãƒ¼ã‚¿ã¯ï¼Œ\ketcindy ã«ã‚ˆã‚Šï¼Œã„ã£ãŸã‚“Rã®ãƒ•ã‚¡ã‚¤ãƒ«ã«æ›¸ã出ã•ã‚Œã‚‹ã€‚ã“れをRã§å‡¦ç†ã—ã¦\TeX ファイルを作æˆã™ã‚‹ã€‚ã§ããŸ\TeX ファイルを，本文ä¸ã« inputコマンド ã§æŒ¿å…¥ã™ã‚Œã°å›³ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚（\ketcindy ã®åˆæœŸã®ç‰ˆã§ã¯ã“ã®ãƒ‡ãƒ¼ã‚¿å‡¦ç†ã«Scilabを用ã„ã¦ã„ãŸã€‚） + +Cinderellaã¨Rã‚„ãã®ä»–ã®ã‚½ãƒ•ãƒˆã‚¦ã‚§ã‚¢ã¨ã®é€£æºã«ã¯ï¼Œãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ«ï¼ˆMacã§ã¯ã‚·ã‚§ãƒ«ãƒ•ã‚¡ã‚¤ãƒ«ï¼‰ã‚’用ã„ã¦ã„る。(概念図ã®ä¸¡æ–¹å‘矢å°) ãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ«ã¯ kc.bat，シェルファイル㯠kc.sh ã§ï¼Œ\ketcindy ãŒç›®çš„ã«å¿œã˜ã¦ã“れらã®ãƒ•ã‚¡ã‚¤ãƒ«ã‚’書ã出ã—ã¦å®Ÿè¡Œã™ã‚‹ã‚ˆã†ã«ãªã£ã¦ã„る。 + +ã—ãŸãŒã£ã¦ï¼ŒKeTCindyã§ã®å›³ãƒ•ã‚¡ã‚¤ãƒ«ã®ä½œæˆæ‰‹é †ã¯æ¬¡ã®ã‚ˆã†ã«ãªã‚‹ã€‚ + +(1) å¿…è¦ã«å¿œã˜ã¦Cinderellaã®ä½œå›³ãƒ„ールã§ï¼Œç‚¹ã‚„線を作図ã—ã¦ãŠã。 + +(2) Cindyscript エディタã§ãƒ—ãƒã‚°ãƒ©ãƒ を書ã。 + +(3) 出力ã™ã‚‹ã€‚ + +\newpage +%--------- ketcindy ã«ã‚ˆã‚‹ä½œå›³æ‰‹é †---------------- +\subsection{\ketcindy ã«ã‚ˆã‚‹ä½œå›³æ‰‹é †} + +\ketcindy ã§ä½œå›³ã—，TeXã®ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作図ã™ã‚‹æ‰‹é †ã‚’ãƒãƒ¥ãƒ¼ãƒˆãƒªã‚¢ãƒ«å½¢å¼ã§ç¤ºã™ã€‚ + +\subsubsection{å¹³é¢å¹¾ä½•} + +\ketcindy ã®ã‚·ã‚¹ãƒ†ãƒ ã«åŒæ¢±ã•ã‚Œã¦ã„る，template1basic.cdy ã‚’ã²ãªå½¢ã¨ã—ã¦ç”¨ã„る。é©å½“ãªå ´æ‰€ã«è¤‡è£½ã‚’作り，åå‰ã‚’変ãˆã¦ãŠã“ã†ã€‚ã“ã“ã§ã¯ï¼Œå˜ã« template.cdy ã¨ã™ã‚‹ã€‚ + +template.cdy をダブルクリックã—ã¦é–‹ã，図ãŒè¡¨ç¤ºã•ã‚ŒãŸã‚‰ï¼ŒCtrl+9 ( Windows ) / ⌘+9 ( Mac ) ã§ã‚¹ã‚¯ãƒªãƒ—トエディタを開ã。２ã¤ã®ç”»é¢ã¯ãƒžãƒ«ãƒã‚¦ã‚£ãƒ³ãƒ‰ã‚¦ã«ã—ã¦ãŠãã®ãŒã‚ˆã„。 + +\vspace{\baselineskip} +\begin{center}\includegraphics[bb=0.00 0.00 500.03 306.52,width=10cm]{Fig/start01.pdf}\end{center} + +ã“ã®ä¸‰è§’形㧠Cinderellaã®ä½œå›³æ©Ÿèƒ½ã‚’用ã„ã¦å†…心を求ã‚，内接円をæã。 + +ã¾ãšï¼Œã‚¹ã‚¯ãƒªãƒ—トエディタ㮠\verb|Listplot([A,B,C,A]);| ã®è¡Œé ã«ã‚¹ãƒ©ãƒƒã‚·ãƒ¥ã‚’２本書ã入れ，Shift+Enter ã§å®Ÿè¡Œã™ã‚‹ã€‚ã“ã†ã™ã‚‹ã¨ï¼Œã“ã®è¡Œã¯ã‚³ãƒ¡ãƒ³ãƒˆè¡Œã¨ãªã‚Šå®Ÿè¡Œã•ã‚Œãªã„è¡Œã«ãªã‚‹ã€‚ãã®çµæžœï¼Œä¸‰è§’å½¢ãŒæ¶ˆãˆã¦ç‚¹ã ã‘残る。 + +ç”»é¢ä¸Šéƒ¨ã®ä½œå›³ãƒ„ールã‹ã‚‰ã€Œç·šåˆ†ã‚’åŠ ãˆã‚‹ã€\includegraphics[bb=0.00 0.00 6.48 5.04,width=8mm]{Fig/segment.pdf} をクリックã—ã¦é¸æŠžã—，点Aã‹ã‚‰ç‚¹Bã¸ãƒ‰ãƒ©ãƒƒã‚°ã™ã‚‹ã¨ç·šåˆ†ãŒæã‹ã‚Œã‚‹ã€‚åŒæ§˜ã«ã—ã¦ï¼ŒBC, CAを引ã。 + +\begin{center}\includegraphics[bb=0.00 0.00 414.02 329.02,height=3.5cm]{Fig/start02.pdf} \end{center} + +次ã«ï¼Œè§’ã®äºŒç‰åˆ†ç·šã‚’引ã。「角ã®äºŒç‰åˆ†ç·šã‚’åŠ ãˆã‚‹ã€ãƒ„ール \includegraphics[bb=0.00 0.00 6.48 5.04,width=8mm]{Fig/bisector.pdf} ã‚’é¸æŠžã—，辺BA，BCã‚’é †ã«ã‚¯ãƒªãƒƒã‚¯ã™ã‚‹ã¨è§’ABCã®äºŒç‰åˆ†ç·šãŒå¼•ã‹ã‚Œã‚‹ã€‚ ã“ã®ã¨ã，次図左ã®ã‚ˆã†ã«ï¼Œè©²å½“ã™ã‚‹è§’を表ã™ã‚¬ã‚¤ãƒ‰ãŒå‡ºã‚‹ã€‚ + +\hspace{20mm}\includegraphics[bb=0.00 0.00 402.02 325.02,height=3cm]{Fig/start03.pdf} \hspace{5mm}\includegraphics[bb=0.00 0.00 413.02 320.02,height=3cm]{Fig/start04.pdf} + +åŒæ§˜ã«ã—ã¦ï¼Œè§’Aã®äºŒç‰åˆ†ç·šã‚’引ã，「交点を求ã‚ã‚‹ã€ãƒ„ール\includegraphics[bb=0.00 0.00 6.48 5.04,width=8mm]{Fig/intersection.pdf}をクリックã—ã¦ï¼Œï¼’本ã®äºŒç‰åˆ†ç·šã‚’é †ã«ã‚¯ãƒªãƒƒã‚¯ã™ã‚‹ã¨äº¤ç‚¹ãŒæ±‚ã‚られる。（角Aã®äºŒç‰åˆ†ç·šã‚’引ã„ãŸç›´å¾Œã¯ã“ã‚ŒãŒé¸æŠžçŠ¶æ…‹ã«ã‚ã‚‹ã®ã§ï¼Œè§’Bã®äºŒç‰åˆ†ç·šã‚’クリックã™ã‚Œã°ã‚ˆã„） + +\begin{center}\includegraphics[bb=0.00 0.00 397.02 319.02,height=3cm]{Fig/start05.pdf}\end{center} + +内接円ã®åŠå¾„を決ã‚ã‚‹ãŸã‚ã«ï¼Œè¾ºACã«åž‚ç›´ã§ç‚¹Dを通る直線をæãã€‚ã€Œåž‚ç·šã‚’åŠ ãˆã‚‹ã€ãƒ„ール \includegraphics[bb=0.00 0.00 6.48 5.04,width=8mm]{Fig/multi-add-perp.pdf} ã‚’é¸æŠžã—，辺AC上ã§ãƒžã‚¦ã‚¹ãƒœã‚¿ãƒ³ã‚’押ã—，ãã®ã¾ã¾ç‚¹Dã¸ãƒ‰ãƒ©ãƒƒã‚°ã™ã‚‹ã¨åž‚ç·šãŒå¼•ã‘る。 + +\hspace{20mm}\includegraphics[bb=0.00 0.00 403.02 319.02,height=3cm]{Fig/start06.pdf} \hspace{5mm}\includegraphics[bb=0.00 0.00 394.02 315.02,height=3cm]{Fig/start07.pdf} + +最後ã«ï¼Œåž‚ç·šã¨è¾ºACã®äº¤ç‚¹ã‚’求ã‚る。 + +\begin{center}\includegraphics[bb=0.00 0.00 409.02 312.02,height=3cm]{Fig/start08.pdf}\end{center} + +図ãŒæã‹ã‚ŒãŸã‚‰ï¼Œã€Œè¦ç´ ã‚’å‹•ã‹ã™ã€ãƒ„ール \includegraphics[bb=0.00 0.00 6.48 5.04,width=8mm]{Fig/move.pdf} ã‚’é¸æŠžã—ã¦ï¼Œå§‹ã‚ã®çŠ¶æ…‹ï¼ˆå‹•ã‹ã™ãƒ¢ãƒ¼ãƒ‰ï¼‰ã«æˆ»ã—ã¦ãŠã。 + +ã“ã‚Œã§å†…心ã®ä½œå›³ã¨åŠå¾„ã®ä½œå›³ãŒã§ããŸã€‚内心円ã¯æã‹ãªãã¦ã‚ˆã„。 + +スクリプトエディタã«æˆ»ã‚Šï¼Œå…ˆã»ã©æ›¸ã„㟠// を消ã—㦠\verb|Listplot([A,B,C,A]);| を有効ã«ã—，次ã®ã‚¹ã‚¯ãƒªãƒ—ãƒˆã‚’è¿½åŠ ã—，Shift+Enterã§å®Ÿè¡Œã™ã‚‹ã¨ï¼Œå†…接円ãŒæã‹ã‚Œã‚‹ã€‚ãªãŠï¼Œï¼’行目を \verb|Setfiles("innercircle")| ã¨ã—ã¦ï¼Œãƒ•ã‚¡ã‚¤ãƒ«åã‚‚è¨å®šã—ã¦ãŠã。 + +\begin{verbatim} + Circledata([D,E]); + Pointdata("1",[D],["size=3"]); + Letter([A,"sw","A",B,"ne","B",C,"se","C",D,"ne2","I"]); +\end{verbatim} + +\begin{center}\includegraphics[bb=0.00 0.00 396.02 322.02,height=4cm]{Fig/start09.pdf} \end{center} + + +ç”»é¢å·¦ä¸Šã®ã€ŒFigureã€ãƒœã‚¿ãƒ³ã‚’クリックã™ã‚‹ã¨ï¼Œãƒ—レビュー用ã®PDFãŒã§ãã¦è¡¨ç¤ºã•ã‚Œã‚‹ï¼ˆä¸‹å›³å·¦ï¼‰ã€‚ +æç”»é¢ã§ç‚¹Bをドラッグã—ã¦ä¸‰è§’å½¢ã®å½¢ã‚’変ãˆã‚Œã°ï¼Œãã‚Œã«å¿œã˜ã¦å‡ºåŠ›ã™ã‚‹å›³ã‚‚変ãˆã‚‹ã“ã¨ãŒã§ãる（下図å³ï¼‰ã€‚ + +\begin{center} \includegraphics[bb=0.00 0.00 396.02 331.02,height=4cm]{Fig/start10.pdf} \includegraphics[bb=0.00 0.00 348.02 284.51,height=4cm]{Fig/incenter03.pdf} \end{center} + +\vspace{\baselineskip} +\ketcindy ãŒTikZãªã©ã®ä½œå›³æ”¯æ´ãƒ„ールã¨ç•°ãªã‚‹ã®ã¯ï¼ŒCinderellaã®ä½œå›³æ©Ÿèƒ½ã‚’用ã„ã¦ã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ã«å›³ã®èª¿æ•´ãŒã§ãる点ã§ã‚る。簡å˜ãªå›³ã§ã‚ã‚Œã°ï¼Œåº§æ¨™ã®è¨ˆç®—ã¯ä¸è¦ã§ï¼ŒCinderellaã®ä½œå›³ç”»é¢ã‚’見ãªãŒã‚‰\ketcindy ã®ä½œå›³é–¢æ•°ã§ãƒ—ãƒã‚°ãƒ©ãƒ を書ãã ã‘ã§ã‚ˆã„。 + +ãªãŠï¼ŒCinderellaã®ä½œå›³æ©Ÿèƒ½ã«ã¤ã„ã¦ã¯ï¼Œä»˜éŒ²ã® \hyperlink{geometrytool}{作図ツール} ã‚’å‚ç…§ã•ã‚ŒãŸã„。 + +%---------------- 関数ã®ã‚°ãƒ©ãƒ•-------------------------- +\subsubsection{関数ã®ã‚°ãƒ©ãƒ•} + +例ã¨ã—ã¦ï¼Œ$y=\sin x$ 㨠$y=x$ ã®ã‚°ãƒ©ãƒ•ã‚’æã。 + +template.cdy をダブルクリックã—ã¦é–‹ã，Ctrl+9 ( Windows ) / ⌘+9 ( Mac ) ã§ã‚¹ã‚¯ãƒªãƒ—トエディタを開ã。 + +座標軸をæãã®ã§ï¼Œ\verb|Addax(0);| ã‚’ \verb|Addax(1);| ã«å¤‰ãˆï¼Œ\verb|Listplot([A,B,C,A]);| ã¯ä½¿ã‚ãªã„ã®ã§å‰Šé™¤ã—，ã‹ã‚ã‚Šã«æ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トを書ã。 + +\begin{layer}{150}{0} +\putnotese{80}{5}{\includegraphics[bb=0.00 0.00 552.03 409.02,height=30mm]{Fig/xsinx01.pdf} } +\end{layer} +\begin{verbatim} + Plotdata("1","y=sin(x)","x"); + Plotdata("2","y=x","x"); +\end{verbatim} + +ã“ã‚Œã ã‘ã§å³ã®ã‚ˆã†ã«ã‚°ãƒ©ãƒ•ãŒæã‹ã‚Œã‚‹ã€‚ + +\vspace{15mm} +%\begin{center}\includegraphics[bb=0.00 0.00 552.03 409.02,height=30mm]{Fig/xsinx01.pdf} \end{center} + +æ画範囲ã¯ç‚¹NEã¨SWをドラッグã—ã¦é©å½“ã«æ±ºã‚よã†ã€‚ã¾ãŸï¼Œç‚¹A,B,CãŒæ®‹ã£ãŸã¾ã¾ã ãŒï¼Œã“れを関数åを表示ã™ã‚‹å ´æ‰€ã¨ã—ã¦åˆ©ç”¨ã™ã‚‹ãŸã‚ã«é©å½“ãªä½ç½®ã«ãƒ‰ãƒ©ãƒƒã‚°ã—ã¦ç§»å‹•ã™ã‚‹ã€‚ + +\begin{center}\includegraphics[bb=0.00 0.00 556.03 238.01,height=30mm]{Fig/xsinx02.pdf} \end{center} + +関数åã¨$x$軸上ã®äº¤ç‚¹ã‚’表示ã™ã‚‹ãŸã‚ã«ï¼Œé–¢æ•° \verb|Expr()| を使ã£ã¦æ¬¡ã®ã‚ˆã†ã«æ›¸ã。 +\begin{verbatim} + Expr([A,"e","y=\sin x",B,"e","y=x",[-pi,0],"s2","-\pi",[pi,0],"s2","\pi", + [2*pi,0],"s2","2\pi"]); +\end{verbatim} + +注）改行ã›ãšï¼‘è¡Œã«æ›¸ã„ã¦ã‚ˆã„。 + +\begin{center}\includegraphics[bb=0.00 0.00 546.03 236.01,height=30mm]{Fig/xsinx03.pdf} \end{center} + +\verb|Figure| ボタンをクリックã™ã‚‹ã¨ï¼Œæ¬¡ã®å›³ãŒæã‹ã‚Œã‚‹ã€‚ + +\vspace{\baselineskip} +\begin{center}\input{Fig/xsinx} \end{center} + + +%---------------- 空間図形 -------------------------- +\subsubsection{空間図形} + +\ketcindy ã®ã‚·ã‚¹ãƒ†ãƒ ã«åŒæ¢±ã•ã‚Œã¦ã„ã‚‹ samples フォルダã‹ã‚‰ï¼Œs05spacefigure フォルダを開ã，s0501basic.cdy ã‚’ã²ãªå½¢ã¨ã—ã¦ä½¿ã†ã€‚é©å½“ãªå ´æ‰€ã«è¤‡è£½ã‚’作り，åå‰ã‚’変ãˆã¦ãŠãã¨ã‚ˆã„。ã“ã“ã§ã¯ï¼Œ3Dbasic.cdy ã¨ã—ã¦é€²ã‚る。 + +3Dbasic.cdy ã‚’é–‹ãã¨æ¬¡ã®ã‚ˆã†ãªç”»é¢ã«ãªã‚‹ã€‚ + +\vspace{\baselineskip} +\begin{center} + \includegraphics[bb=0 0 879.05 447.02 , width=8cm]{Fig/3dstart.pdf} +\end{center} + +下ã®ã‚¹ãƒ©ã‚¤ãƒ€ã§ç‚¹TH,Fl をドラッグã™ã‚‹ã¨ï¼Œç©ºé–“ã§ã®è¦–点ã®ä½ç½®ãŒå¤‰ã‚る。（座標軸ãŒå›žè»¢ã™ã‚‹ï¼‰ + +ã“ã“ã§ã¯ï¼Œæ£å››é¢ä½“ã¨ï¼Œé«˜ã•ã‚’求ã‚ã‚‹ã®ã«ã‚ˆã使ã‚れる補助線をæã„ã¦ã¿ã‚ˆã†ã€‚スクリプトエディタを開ã，次ã®3行を消ã™ã€‚ + +\begin{verbatim} + Ch=[1]; + if(contains(Ch,1), + Skeletonparadata("1",[1.5]); + ); +\end{verbatim} + +ã‹ã‚ã‚Šã«æ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トを書ã„㦠Shift+Enter ã§å®Ÿè¡Œã™ã‚‹ã€‚ + +\begin{layer}{150}{0} +\putnotese{90}{0}{ \input{Fig/tetrahedron}} +\end{layer} +\begin{verbatim} + Putpoint3d("A",2*[-1,-1/sqrt(3),0],"fix"); + Putpoint3d("B",2*[1,-1/sqrt(3),0],"fix"); + Putpoint3d("C",2*[0,sqrt(3)-1/sqrt(3),0],"fix"); + Putpoint3d("D",2*[0,0,sqrt(3)],"fix"); + Putpoint3d("M",(B3d+C3d)/2,"fix"); + phd=Concatobj([[A,B,C],[A,B,D],[A,C,D],[B,C,D]]); + Spaceline("1",[D,M,A]); + VertexEdgeFace("1",phd,["Edg=nogeo"]); + Nohiddenbyfaces("1","phf3d1"); +\end{verbatim} + + +%---------------- 作表 -------------------------- +\subsubsection{作表} + +\TeX\ ã§è¡¨ã‚’作るã®ã¯ã‹ãªã‚Šé¢å€’ã ãŒï¼Œ\ketcindy\ を使ãˆã°æ¯”較的簡å˜ã«ä½œè¡¨ãŒã§ãる。次ã®å›³ã¯é–¢æ•°ã®å¢—減・凹凸表ã§ã‚る。以下ã¯ç´¹ä»‹ã«ã¨ã©ã‚る。関数リファレンスã«ä¾‹ã‚’掲載ã—ã¦ã„ã‚‹ã®ã§å‚ç…§ã•ã‚ŒãŸã„。 + +\begin{center} \input{Fig/zogen3} \end{center} + +% ====== ä»–ã®ã‚½ãƒ•ãƒˆã¨ã®é€£æº =============== + +\subsubsection{ä»–ã®ã‚½ãƒ•ãƒˆã¨ã®é€£æº} + +\ketcindy\ ã¯Cindyscriptã§è¨˜è¿°ã•ã‚Œã¦ã„ã‚‹ãŒï¼ŒCindyscriptã¯ãƒ—ãƒã‚°ãƒ©ãƒŸãƒ³ã‚°è¨€èªžã§ã‚り，数å¼å‡¦ç†ã‚½ãƒ•ãƒˆã§ã¯ãªã„。ãã“ã§ï¼ŒR ã‚„ Maxima ãªã©ã¨é€£æºã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šï¼Œæ©Ÿèƒ½ã‚’æ‹¡å¼µã™ã‚‹ã“ã¨ãŒã§ãるよã†ã«ãªã£ã¦ã„る。統計計算ã¯ï¼²ï¼Œæ•°å¼å‡¦ç†ã‚’用ã„ãŸè¨ˆç®—ã¯Maximaを利用ã™ã‚‹ã¨ä¾¿åˆ©ã§ã‚る。 + +ã€ä¾‹ã€‘Rを用ã„ã¦ç®±ã²ã’図をæã + + \begin{center}\scalebox{0.8}{ \input{Fig/boxplot} } \end{center} + + +ã€ä¾‹ã€‘Maxima を用ã„㦠$ \sin x $ã®7次ã®ãƒ†ã‚¤ãƒ©ãƒ¼å±•é–‹ã‚’è¡Œã†ã€‚ + + \begin{center}\scalebox{0.8}{ \input{Fig/taylor}} \end{center} + +% ====== プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ =============== +\newpage +\section{プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿} +プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿(Plot Data) ã¨ã¯ï¼Œé–¢æ•°ã®ã‚°ãƒ©ãƒ•ã‚„幾何è¦ç´ ã‚’æãデータã®ã“ã¨ã§ã‚る。\ketcindy\ ã§ã¯ PD ã¨ç•¥ã™ã“ã¨ãŒã‚る。 + +ãŸã¨ãˆã°ï¼Œç·šåˆ†ã¯ç«¯ç‚¹ã®åº§æ¨™2ã¤ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆã§è¡¨ç¾ã§ãる。曲線ã¯ï¼Œæ画範囲を分割ã—ã¦ç·šåˆ†ã®é›†ã¾ã‚Šã¨ã—ã¦æç”»ã—ã¦ãŠã‚Šï¼Œã“ã®ã¨ãã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ãれらã®ç·šåˆ†ã®ç«¯ç‚¹ã®ãƒªã‚¹ãƒˆã§ã‚る。 + +プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å称ã¯\ketcindy ãŒæ¬¡ã®è¦å‰‡ã«ã‚ˆã‚Šå‘½åã™ã‚‹ã€‚ + +\vspace{\baselineskip} +・å称ã®é 部ã¯ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’作æˆã™ã‚‹é–¢æ•°ã”ã¨ã«æ±ºã¾ã£ã¦ã„る。 + +・第１引数㫠name ãŒä¸Žãˆã‚‰ã‚Œã‚‹å ´åˆï¼Œname ã‚’é 部ã«ä»˜åŠ ã™ã‚‹ã€‚ + +\hspace{10mm} ã€ä¾‹ã€‘\verb|Listplot("1",[[0,0],[1,2]]);| ã®ã¨ã，sg1 + +・第１引数㮠name ã‚’çœç•¥ã§ãã‚‹å ´åˆï¼Œå¼•æ•°ã§ç”¨ã„られãŸç‚¹ã®åå‰ã‚’é 部ã«ä»˜åŠ ã™ã‚‹ã€‚ + +\hspace{10mm} ã€ä¾‹ã€‘\verb|Listplot([A,B,C]);| ã®ã¨ã，sgABC + + +\vspace{\baselineskip} +プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’生æˆã—ãŸã¨ãã¯ï¼ŒCindyscriptエディタã®ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ãã®å称を表示ã™ã‚‹ã€‚ãŸã¨ãˆã°ï¼Œ\verb|Listplot([A,B,C,A])| ã§ä¸‰è§’å½¢ABCã‚’æãã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã« + +\hspace{10mm} \verb|generate Listplot sgABCA| + +ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’æ“作ã™ã‚‹é–¢æ•°ã§ã¯ï¼Œã“ã®å称を用ã„る。 + +\begin{center}\includegraphics[bb=0.00 0.00 298.02 115.01,width=6cm]{Fig/pdtoconsole.pdf} \end{center} + +プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å†…容ã¯ï¼ŒCindyscriptã® println() 関数を用ã„ã¦ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã™ã‚‹ã“ã¨ãŒã§ãる。ãŸã¨ãˆã°ä¸Šè¨˜ã®å ´åˆï¼Œ + +\hspace{10mm} \verb|println(sgABCA)| + +ã¨ã™ã‚‹ã¨ï¼Œ + +\hspace{10mm} \verb| [[1,3],[-1,0],[3,0],[1,3]] | + +ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚A,B,C,A ã®ãã‚Œãžã‚Œã®åº§æ¨™ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆã§ã‚る。 + +プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ï¼ŒCindyscriptã«ã‚ˆã‚‹ãƒ—ãƒã‚°ãƒ©ãƒ ã§ä½œæˆã—ã¦ãれを\ketcindy ã§åˆ©ç”¨ã™ã‚‹ã“ã¨ã‚‚ã§ãる。( \hyperlink{listplot}{Listplot()ã®ä¾‹} ã‚’å‚照）ãŸã ã—，è¦ç´ ã®æ•°ãŒå¤§ãã„ã¨ã‚¨ãƒ©ãƒ¼ã¨ãªã‚‹ã®ã§ï¼Œï¼‘ã¤ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®è¦ç´ ã¯200程度ã¨ã™ã‚‹ã®ãŒã‚ˆã„。ã“れより多ã„å ´åˆã¯åˆ†å‰²ã™ã‚‹ã€‚ + +\newpage +%======= Cindyscript =========== + +\section{Cindyscript} +\subsection{Cindyscriptエディタ} +Cindyscriptã¯Cinderellaã®ãƒ—ãƒã‚°ãƒ©ãƒŸãƒ³ã‚°è¨€èªžã§ï¼ŒCinderella上ã®ã‚¹ã‚¯ãƒªãƒ—トエディタã§è¨˜è¿°ã™ã‚‹ã€‚スクリプトエディタã¯ï¼Œã€Œã‚¹ã‚¯ãƒªãƒ—トã€ãƒ¡ãƒ‹ãƒ¥ãƒ¼ã®ã€ŒCindyscriptã€ã‚’é¸æŠžã™ã‚‹ã‹ï¼ŒCtrl+9 (Windows) / ⌘＋9 (Mac) ã§é–‹ã。\\ +\vspace{110mm} +\begin{layer}{150}{0} +\putnotese{5.5}{15}{\includegraphics[bb=0.00 0.00 687.84 451.68,width=12.5cm]{Fig/slot.pdf}} +\arrowlineseg[16]{20}{20}{10}{90} +\putnotese{15}{5}{スãƒãƒƒãƒˆ} +\arrowlineseg[16]{40}{20}{10}{100} +\putnotese{32}{5}{ページå} +\arrowlineseg[16]{80}{20}{15}{140} +\putnotese{50}{5}{フォントサイズ} +\arrowlineseg[16]{107}{20}{15}{140} +\putnotese{80}{5}{æç”»é¢ã‚’å‰é¢ã«} +\arrowlineseg[16]{120}{20}{10}{110} +\putnotese{110}{5}{実行} +\arrowlineseg[16]{125}{20}{10}{90} +\putnotese{120}{5}{ヘルプ} +\putnotese{90}{35}{メインウィンドウ} +\putnotese{90}{65}{コンソール} +\end{layer} + +\noindent +{\bf スãƒãƒƒãƒˆ} + +スãƒãƒƒãƒˆã¯ãã‚Œãžã‚Œã®å®Ÿè¡Œã‚¿ã‚¤ãƒŸãƒ³ã‚°ã§ã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹ã‚‚ã®ã§ã‚り，他ã®ãƒ—ãƒã‚°ãƒ©ãƒŸãƒ³ã‚°è¨€èªžã«ã¯ãªã„特徴ã§ã‚る。（スãƒãƒƒãƒˆãŒéš ã‚Œã¦ã„ã‚‹ã¨ãã¯å¢ƒç•Œç·šã‚’ドラッグã™ã‚‹ï¼‰ + +よã使ã†ã‚¹ãƒãƒƒãƒˆã¯æ¬¡ã®é€šã‚Šã€‚ + +\begin{tabbing} +123456789012345678\=\kill +Draw \>æç”»é¢ã«ãªã«ã‹å¤‰åŒ–ãŒèµ·ãる（点を動ã‹ã™ãªã©ï¼‰ã¨å®Ÿè¡Œã•ã‚Œã‚‹ã€‚\\ + \>通常ã¯ã“ã“ã«ã‚¹ã‚¯ãƒªãƒ—トを書ã。ã²ãªå½¢ã® templatebasic1.cdy ã§ã¯ï¼Œ\\ + \>Ketinit() ãªã©ãŒè¨˜è¿°ã•ã‚ŒãŸ figures ページãŒç”¨æ„ã•ã‚Œã¦ã„る。\\ +Initialization \>スクリプトを実行ã™ã‚‹ã¨ã€å§‹ã‚ã«1度 ã ã‘実行ã•ã‚Œã‚‹ã€‚\\ + \>ã—ãŸãŒã£ã¦ï¼Œé–¢æ•°å®šç¾©ã‚„変数ã®åˆæœŸè¨å®šãªã©ã‚’書ã。\\ + \>ã²ãªå½¢ã® templatebasic1.cdy ã§ã¯ã“ã“ã« KETlib ã¨ã„ã†ãƒšãƒ¼ã‚¸ãŒã‚り，\\ + \>\ketcindy ã®åˆæœŸè¨å®šã«é–¢ã™ã‚‹è¨˜è¿°ãŒã‚る。\\ +Key Typed \>ã‚ーボードãŒæŠ¼ã•ã‚ŒãŸã¨ã実行ã•ã‚Œã‚‹ã€‚\\ + \> KeTCindyã§ã¯ï¼Œãƒœã‚¿ãƒ³ã«ã‚ˆã‚‰ãšã‚ーボードã§å‡ºåŠ›ã‚’è¡Œã†ãŸã‚ã®\\ + \>スクリプトãŒæ›¸ã‹ã‚Œã¦ã„る。 +\end{tabbing} + +１ã¤ã®ã‚¹ãƒãƒƒãƒˆã«è¤‡æ•°ã®ãƒšãƒ¼ã‚¸ã‚’作るã“ã¨ãŒã§ãる。ãŸã¨ãˆã°ï¼ŒKETlib以外ã«åˆæœŸè¨å®šã®ã‚¹ã‚¯ãƒªãƒ—トを書ãå ´åˆã¯ï¼ŒInitialzation スãƒãƒƒãƒˆã®ãƒ•ã‚©ãƒ«ãƒ€ã‚¢ã‚¤ã‚³ãƒ³ã‚’クリックã™ã‚‹ã“ã¨ã§æ–°ã—ã„ページãŒã§ãる。 + +KeTCindyã®æ画コマンド㯠Draw スãƒãƒƒãƒˆã«æ›¸ã。 + +\vspace{\baselineskip}\noindent +{\bf ページå} + +å„スãƒãƒƒãƒˆã§ã¯ï¼Œãƒšãƒ¼ã‚¸ã‚’分ã‘ã¦è¨˜è¿°ã™ã‚‹ã“ã¨ãŒã§ãる。å„ページã®åå‰ã¯ã‚¹ã‚¯ãƒªãƒ—トエディタã®ä¸Šã®æ¬„ã«æ›¸ãã“ã¨ãŒã§ãる。 + +%\vspace{\baselineskip} +\noindent +{\bf フォントサイズ} + +編集エリアã®ãƒ•ã‚©ãƒ³ãƒˆã‚µã‚¤ã‚ºã‚’変更ã™ã‚‹ã€‚ + +%\vspace{\baselineskip} +\noindent +{\bf 実行ボタン} + +プãƒã‚°ãƒ©ãƒ を実行ã™ã‚‹ã€‚プãƒã‚°ãƒ©ãƒ ã®å®Ÿè¡Œã¯ Shift+Enter ã§ã‚‚ã§ãる。 + +%\vspace{\baselineskip} +\noindent +{\bf ヘルプボタン} + +ブラウザを開ã„ã¦ãƒžãƒ‹ãƒ¥ã‚¢ãƒ«ã‚’表示ã™ã‚‹ã€‚ + +%\vspace{\baselineskip} +\noindent +{\bf コンソール} + +print() 関数ã®çµæžœã‚„エラーメッセージãŒè¡¨ç¤ºã™ã‚‹ã€‚エラーメッセージã¯ï¼Œã€ŒWARNING:ã€ã¾ãŸã¯ã€Œsyntax errorã€ã«ç¶šã„ã¦ãã®å†…容ã¨è©²å½“ã™ã‚‹è¡Œç•ªå·ãŒç¤ºã•ã‚Œã‚‹ã€‚ã“れをèªã‚“ã§ã‚¹ã‚¯ãƒªãƒ—トã®æ›¸ãé–“é•ã„ã‚’ãƒã‚§ãƒƒã‚¯ã™ã‚‹ã€‚ + +\subsection{スクリプトã®è¨˜è¿°} +編集エリアã«ãƒ—ãƒã‚°ãƒ©ãƒ を書ãã¨ï¼Œæ–‡å—ãŒè‰²åˆ†ã‘ã•ã‚Œã¦è¡¨ç¤ºã•ã‚Œã‚‹ã€‚組ã¿è¾¼ã¿é–¢æ•°ã¯é’，ユーザー定義関数ã¯ç´«ï¼Œå®šç¾©ã•ã‚Œã¦ã„ãªã„関数ã¯èµ¤ï¼Œæ–‡å—列ã¯ç·‘ã§è¡¨ç¤ºã•ã‚Œã‚‹ã€‚KeTCindyã®é–¢æ•°ã¯ãƒ¦ãƒ¼ã‚¶ãƒ¼å®šç¾©é–¢æ•°ãªã®ã§ç´«è‰²ã§è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ + +\begin{layer}{150}{0} +\putnotese{35}{5}{\includegraphics[bb=0.00 0.00 350.02 184.01,width=7cm]{Fig/coloring.pdf} } +\putnotee{5}{27}{組ã¿è¾¼ã¿é–¢æ•°} +\arrowlineseg[20]{35}{27}{10}{180} +\putnotee{77}{9}{ユーザー定義関数} +\arrowlineseg[10]{67}{9}{8}{0} +\putnotee{110}{17}{æ–‡å—列} +\arrowlineseg[15]{80}{17}{28}{0} +\end{layer} +\vspace{45mm} + +編集エリアã§ã¯ï¼ŒCtrl+C 㨠Ctrl+V ã«ã‚ˆã‚‹ã‚³ãƒ”ーアンドペースト，Ctrl+X 㨠Ctrl+V ã«ã‚ˆã‚‹ã‚«ãƒƒãƒˆã‚¢ãƒ³ãƒ‰ãºãƒ¼ã‚¹ãƒˆãŒã§ãる。他ã®ãƒ†ã‚ストエディタãªã©ã¨ã®é–“ã§ã®ã‚³ãƒ”ーもåŒæ§˜ã«ã§ãる。 + +æ–‡å—列ã®é¸æŠžã¯ãƒžã‚¦ã‚¹ãƒ‰ãƒ©ãƒƒã‚°ã¾ãŸã¯ Shift+カーソルã‚ーã§ãŠã“ãªãˆã‚‹ã€‚ + +Ctrl+F ã«ã‚ˆã‚‹æ¤œç´¢ã¯ã§ããªã„。 + +スクリプトを記述ã™ã‚‹ã¨ãã®åŸºæœ¬çš„ãªãƒ«ãƒ¼ãƒ«ã¯æ¬¡ã®é€šã‚Šã€‚ + +\vspace{\baselineskip} +・基本的ã«å°æ–‡å—ã§æ›¸ã。大文å—ã¨å°æ–‡å—ã¯åŒºåˆ¥ã•ã‚Œã‚‹ã€‚ + +\hspace{5mm}\ketcindy ã§ã¯ï¼ŒCindyscriptã«çµ„ã¿è¾¼ã¿ã®å¤‰æ•°å・関数åã¨åŒºåˆ¥ã—ã‚„ã™ã„よã†ã«ï¼Œ + +\hspace{5mm}次ã®è¦å‰‡ã«ã‚ˆã‚Šåå‰ã‚’付ã‘ã¦ã„る。 + +\hspace{5mm}・グãƒãƒ¼ãƒãƒ«ãªå¤‰æ•°ã¯ã™ã¹ã¦å¤§æ–‡å—ã‹ï¼Œå¤§æ–‡å—ã§å§‹ã¾ã‚‹ã‚‚ã®ã¨ã™ã‚‹ã€‚ + +\hspace{5mm}・局所変数ã¯å°æ–‡å—ã§ï¼Œé–¢æ•°å®šç¾©ã®å†’é 㧠regional() ã«ã‚ˆã‚Šå±€æ‰€å¤‰æ•°ã¨ã—ã¦å®£è¨€ã™ã‚‹ã€‚ + +\hspace{5mm}・関数åã¯å¤§æ–‡å—ã§å§‹ã¾ã‚‹ã€‚ + +・複数ã®åŠè§’スペースã¯ç„¡è¦–ã•ã‚Œï¼Œä¸€ã¤ã®åŠè§’スペースã¨è¦‹ãªã•ã‚Œã‚‹ã€‚ + +・行末ã«ã¯ã‚»ãƒŸã‚³ãƒãƒ³ã‚’書ã。改行ã ã‘ã§ã¯å‘½ä»¤æ–‡ã®çµ‚ã‚ã‚Šã«ãªã‚‰ãªã„。 + +\subsection{変数ã¨å®šæ•°} +\vspace{\baselineskip}\noindent +{\bf 変数} + +Cindyscriptã§ã¯ï¼Œå¤‰æ•°ã®åž‹ã®å®£è¨€ã¯ä¸è¦ã€‚使用ã•ã‚ŒãŸã¨ãã«ä½•ãŒä»£å…¥ã•ã‚ŒãŸã‹ã§è‡ªå‹•çš„ã«åž‹ãŒæ±ºã¾ã‚Šï¼Œã•ã‚‰ã«ï¼Œå®£è¨€ã—ç›´ã•ãªãã¦ã‚‚ç•°ãªã‚‹åž‹ã®å€¤ã‚’代入ã™ã‚‹ã“ã¨ãŒã§ãる。 + +\vspace{\baselineskip} + +ã€ä¾‹ã€‘ +\begin{verbatim} + a=10; + b=2; + c=a+sqrt(b); + a="ã®å¹³æ–¹æ ¹"; + println("10ã« "+b+a+" ã‚’åŠ ãˆã‚‹ã¨"+c); +\end{verbatim} + +ã“ã®ä¾‹ã§ã¯ï¼Œå§‹ã‚ã«aã¯æ•´æ•°åž‹ã§ã‚ã‚‹ãŒï¼Œ4行目ã§æ–‡å—列ã«å¤‰ã‚る。 + +æ–‡å—列ã¯ãƒ€ãƒ–ルクウォートã§ããる。異ãªã‚‹åž‹ã®æ¼”ç®—ã«ã¯æ³¨æ„ã‚’è¦ã™ã‚‹ãŒï¼Œä¾‹å¤–çš„ã«ï¼Œ5行目ã®ã‚ˆã†ã«ï¼Œæ–‡å—列ã¨æ•°ã‚’＋演算åã§çµã¶ã¨ï¼Œæ•°ã¯æ–‡å—列化ã•ã‚Œã¦çµåˆã•ã‚Œã‚‹ã€‚ + +\vspace{\baselineskip}\noindent +{\bf 予約定数} + +Cindyscriptã§ã¯ï¼Œå††å‘¨çŽ‡ (pi) ã¨è™šæ•°å˜ä½(i) ãŒå®šæ•°ã¨ã—ã¦äºˆç´„ã•ã‚Œã¦ã„る。i ã¯ï¼Œå¤‰æ•°ã¨ã—ã¦ä½¿ç”¨ã™ã‚‹ã“ã¨ã‚‚ã§ã，ãã®ã‚ˆã†ãªå ´åˆï¼Œè™šæ•°å˜ä½ã«æˆ»ã™ã«ã¯ \verb|i=complex(0,1)| を実行ã™ã‚‹ã€‚ + +\vspace{\baselineskip}\noindent +{\bf KeTCindyã®äºˆç´„変数} + + \ketcindy ãŒå†…部的ã«ä½¿ç”¨ã™ã‚‹äºˆç´„変数ãŒã‚る。ãã®ã†ã¡æ¬¡ã®ã‚‚ã®ã¯ãƒ¦ãƒ¼ã‚¶ãƒ¼ãŒå€¤ã‚’変更ã¾ãŸã¯è¨å®šã™ã‚‹ã“ã¨ãŒã§ãる。 +\begin{tabbing} +1234\=567890123\=45678989012345678901234567890123\=\kill + \>Fhead \>書ã出ã•ã‚Œã‚‹ãƒ•ã‚¡ã‚¤ãƒ«åã®é 部。Setfiles() ã«ã‚ˆã£ã¦è¨å®šã§ãる。\\ + \>Texparent \>親プãƒã‚»ã‚¹ã®ãƒ•ã‚¡ã‚¤ãƒ«å。Setparent()ã«ã‚ˆã£ã¦è¨å®šã§ãる。\\ + \>Dirhead \>パスã®é 部\\ + \>Dirlib \>ライブラリ ketlib ã®ãƒ‘ス\\ + \>Dirbin \>ketbin ã®ãƒ‘ス\\ + \>Dirwork \>作æ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã®ãƒ‘ス。Changework()ã«ã‚ˆã£ã¦è¨å®šã§ãる。\\ + \>Shellfile \>シェルファイルå +\end{tabbing} + +以下ã®äºˆç´„変数ã¯ï¼Œãƒ©ã‚¤ãƒ–ラリãŒä½¿ç”¨ã™ã‚‹ã‚°ãƒãƒ¼ãƒãƒ«å¤‰æ•°ã§ã‚ã‚‹ã®ã§ï¼Œãƒ¦ãƒ¼ã‚¶ãƒ¼ã¯ã“れらã®å¤‰æ•°ã«å€¤ã‚’代入ã—ã¦ã¯ã„ã‘ãªã„。ãªãŠï¼Œå¤‰æ•°ã¯å¤§æ–‡å—å°æ–‡å—を区別ã™ã‚‹ã®ã§ï¼Œã™ã¹ã¦å°æ–‡å—ã§æ›¸ã分ã«ã¯æ”¯éšœã¯ãªã„。ユーザーãŒä½œã‚‹ãƒ—ãƒã‚°ãƒ©ãƒ ã§ã¯ï¼Œã™ã¹ã¦å°æ–‡å—ã‹ï¼Œå…ˆé ã ã‘ãŒå¤§æ–‡å—ã®å¤‰æ•°ã‚’使ã†ã“ã¨ã‚’勧ã‚る。 + +\vspace{\baselineskip} +ADDAXES, ArrowlineNumber, ArrowheadNumber, BezierNumber, COM0thlist, COM1stlist, COM2ndlist, Dq, FUNLIST, Fnamesc ，Fnamescibody，Fnameout，Fnametex, GDATALIST, GLIST, GCLIST, GOUTLIST, KCOLOR, KETPICCOUNT,KETPICLAYER, LETTERlist, LFmark, MilliIn, PenThick,PenThickInit, POUTLIST, SCALEX, SCALEY, SCIRELIST, SCIWRLIST, TenSize, TenSizeInit, ULEN, XMAX, XMIN, YaSize, YaThick, YMAX, YMIN, VLIST + + +\vspace{\baselineskip}\noindent +{\bf リスト} + +リストã¨ã¯ï¼Œæ•°ã‚„æ–‡å—ãªã©ã‚’集ã‚ãŸã‚‚ã®ã§ï¼Œãã‚Œãžã‚Œã®ã‚‚ã®ã‚’「è¦ç´ ã€ã¨ã„ã„，\verb|[ ]|ã®ä¸ã«ã‚³ãƒ³ãƒžã§åŒºåˆ‡ã£ã¦è¨˜è¿°ã™ã‚‹ã€‚è¦ç´ ã¯åž‹ã‚’å•ã‚ãªã„。\ketcindy\ ã§ã¯ï¼Œæ›²ç·šã‚’æãプãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ãŒåº§æ¨™ã®ãƒªã‚¹ãƒˆã§ã‚り，リスト処ç†ã‚’ã†ã¾ã使ãˆã° \ketcindy\ ã§åŠ¹çŽ‡çš„ã«ä½œå›³ãŒã§ãる。 + +リストã®n番目ã®è¦ç´ ã«ã‚¢ã‚¯ã‚»ã‚¹ã™ã‚‹ã®ã«ï¼Œã‚¢ãƒ³ãƒ€ãƒ¼ãƒãƒ¼\_ を使ã†ã€‚ + +\begin{verbatim} + list=[1,2,3,4,5]; + println(list_2); +\end{verbatim} +ã¨ã™ã‚‹ã¨ï¼Œlist ã®ä¸ã®2番目ã®è¦ç´ 2 ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ +\begin{verbatim} + list=[1,2,3,4,5]; + list_2="a"; +\end{verbatim} +ã¨ã™ã‚‹ã¨ï¼Œlist ã®ä¸ã®2番目ã®è¦ç´ ãŒæ–‡å— a ã«å¤‰ã‚る。 + +ãŸã¨ãˆã°ï¼Œæ›²ç·šã®äº¤ç‚¹ã‚’求ã‚ã‚‹ \hyperlink{intersectcrvs}{Intersectcrvs()} ã®æˆ»ã‚Šå€¤ã‹ã‚‰äº¤ç‚¹ã®åº§æ¨™ã‚’求ã‚ã‚‹ã«ã¯ã‚¢ãƒ³ãƒ€ãƒ¼ãƒãƒ¼ã‚’使ã†ã€‚使用例ã¯ï¼ŒIntersectcrvs() ã®ä¾‹ã‚’å‚ç…§ã•ã‚ŒãŸã„。 + +\subsection{よã使ã†Cindyscriptã®ã‚³ãƒžãƒ³ãƒ‰} +\vspace{\baselineskip}\noindent +{\bf 値ã®è¡¨ç¤º} + +print(値) ：コンソールã«å€¤ã‚’表示ã™ã‚‹ã€‚改行ã—ãªã„。 + +println(値) ：コンソールã«å€¤ã‚’表示ã™ã‚‹ã€‚改行ã™ã‚‹ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘関数Intersectcrvs() ã®æˆ»ã‚Šå€¤ã‚’表示ã™ã‚‹ã€‚ +\begin{verbatim} + tmp=intersectcrvs("sgAB","crCD"); + println(tmp); +\end{verbatim} + +\vspace{\baselineskip}\noindent +{\bf æ¡ä»¶åˆ¤æ–} + +if(A,B,C) ： ã‚‚ã—AãŒçœŸãªã‚‰ï¼ˆæˆã‚Šç«‹ã¦ã°ï¼‰Bを，å½ãªã‚‰Cを実行ã™ã‚‹ã€‚ + +Aã®æ¡ä»¶åˆ¤æ–ã«ã¯æ¬¡ã®ã‚‚ã®ãŒã‚ˆã使ã‚れる。 + \begin{tabbing} +1234\=56789012345678989012\=3456789012\=34567890123\=\kill + \> \verb|a|ãŒ\verb|b|より大ãã„ \> \verb|if(a>b|,$\cdots$\\ + \> \verb|a|ãŒ\verb|b|よりå°ã•ã„ \> \verb|if(a<b|,$\cdots$\\ + \> \verb|a|ãŒ\verb|b|以上 \> \verb|if(a>=b|,$\cdots$ （\verb|>|ã¨=ã®é †åºã«æ³¨æ„）\\ + \> \verb|a|ãŒ\verb|b|以下 \> \verb|if(a<=b|,$\cdots$ （\verb|<|ã¨=ã®é †åºã«æ³¨æ„）\\ + \> \verb|a|ã¨\verb|b|ãŒç‰ã—ã„ \> \verb|if(a==b|,$\cdots$ （ç‰å·ã‚’2ã¤ï¼‰\\ + \> \verb|a|ã¨\verb|b|ãŒç•°ãªã‚‹ \> \verb|if(a!=b|,$\cdots$\\ +\end{tabbing} + +if æ–‡ã¯ãƒã‚¹ãƒˆã—ã¦ä½¿ã†ã“ã¨ãŒã§ãる。 + +\vspace{\baselineskip} + ã€ä¾‹ã€‘n ãŒæ£ï¼Œè² ，ゼãƒã®ã„ãšã‚Œã‹ã‚’判æ–ã—ã¦ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã™ã‚‹ã€‚ +\begin{verbatim} + if(n>0,print("æ£"),if(n==0,print("ï¼"),print("è² "))); +\end{verbatim} + +\vspace{\baselineskip}\noindent +{\bf ç¹°ã‚Šè¿”ã—} + +repeat(n,æ“作) ：æ“作をn回繰り返ã™ã€‚ + +repeat(n,s,æ“作) ：æ“作をn回繰り返ã™ã€‚カウンタã¨ã—ã¦sを使ã†ã€‚（文å—ã¯ä»–ã§ã‚‚å¯ï¼‰ + +\vspace{\baselineskip} + ã€ä¾‹ã€‘Aã‚’4個並ã¹ã¦æç”»é¢ã«è¡¨ç¤ºã™ã‚‹ã€‚ +\begin{verbatim} + repeat(4,s,drawtext([s,0],4)); +\end{verbatim} + ã“ã“ã§ï¼Œsã®å€¤ã¯4回繰り返ã™ã†ã¡ã«ï¼Œ1,2,3,4ã¨å¤‰åŒ–ã™ã‚‹ã€‚ + +\vspace{\baselineskip}\noindent +{\bf リストã«ã‚ˆã‚‹ç¹°ã‚Šè¿”ã—} + + forall(list,処ç†ï¼‰ ：リストã®è¦ç´ ã™ã¹ã¦ã«æ¸¡ã‚‹ã‚ˆã†ã«ç¹°ã‚Šè¿”ã™ã€‚ + +\vspace{\baselineskip} + ã€ä¾‹ã€‘点ã®ãƒšã‚¢ã‚’リストã¨ã—，線分をæã。 +\begin{verbatim} + sglist=[[A,B],[C,D],[E,F]]; + forall(sglist,Listplot(#)); +\end{verbatim} + ã“ã‚Œã¯ï¼Œ +\begin{verbatim} + Listplot([A,B]); + Listplot([C,D]); + Listplot([E,F]); +\end{verbatim} +ã¨ã™ã‚‹ã®ã¨åŒã˜ã€‚ã“ã“ã§ï¼Œ\verb|#|ã¯å®Ÿè¡Œå¤‰æ•°ã¨å‘¼ã°ã‚Œï¼Œãƒªã‚¹ãƒˆã®ãã‚Œãžã‚Œã®è¦ç´ を表ã™ã€‚ + +\vspace{\baselineskip}\noindent +{\bf ユーザー定義関数} + +ユーザー定義関数ã¯æ¬¡ã®æ›¸å¼ã§å®šç¾©ã™ã‚‹ã€‚ + +\hspace{10mm}関数å(引数):=(処ç†) + +\vspace{\baselineskip} +ã€ä¾‹ã€‘ 引数ã®å€¤ã®æ£è² を表示ã™ã‚‹é–¢æ•° sign(n) を定義ã™ã‚‹ã€‚ +\begin{verbatim} + sign(n):=( + if(n>0,print("æ£"),print("ï¼ã¾ãŸã¯è² ")); + ); +\end{verbatim} +定義ã—ãŸé–¢æ•°ã¯ +\begin{verbatim} + n=3; + println(sign(n)); +\end{verbatim} +ã®ã‚ˆã†ã«ã—ã¦ä½¿ã†ã€‚ + +KeTCindyã§ã¯ï¼Œã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³PDFを作æˆã™ã‚‹ã¨ãã«ï¼Œãƒ•ãƒ¬ãƒ¼ãƒ を定義ã™ã‚‹ã®ã«ä½¿ã†ã€‚ + +\vspace{\baselineskip}\noindent +{\bf 幾何è¦ç´ ã¸ã®ã‚¢ã‚¯ã‚»ã‚¹} + +Cinderellaã§ã¯ï¼Œç‚¹ã®åº§æ¨™ã¯åŒæ¬¡åº§æ¨™ã§è¡¨ã•ã‚Œã¦ãŠã‚Šï¼Œç‚¹ã®å称ã§ãã®ã¾ã¾åº§æ¨™ã‚’å–å¾—ã§ãã‚‹ã“ã¨ãŒå¤šã„。ãã®ãŸã‚，ãŸã¨ãˆã° Listplot() 関数ã§ã¯ï¼Œç‚¹ã‚’指定ã™ã‚‹ã®ã«ï¼Œåº§æ¨™ \verb|[a,b]| ã®ä»£ã‚ã‚Šã«ç‚¹åを使ã†ã“ã¨ãŒã§ãる。 + +\vspace{\baselineskip} +Listplot() ã®æ›¸å¼ï¼‘ \verb|Listplot("1",[[1,1],[4,5]])| + +Listplot() ã®æ›¸å¼2 \verb|Listplot("1",[A,B])| + +\vspace{\baselineskip} + +ã—ã‹ã—，明確ã«ç›´äº¤åº§æ¨™ã§å–å¾—ã—ãŸã„å ´åˆã¯ \verb|A.xy|（x,y 座標） \verb|A.x|（x 座標 ） \verb|A.y|（y 座標） ã¨ã—ã¦å–å¾—ã™ã‚‹ã€‚ + +\vspace{\baselineskip}\noindent +{\bf リスト処ç†} + +Cindyscriptã®ãƒªã‚¹ãƒˆå‡¦ç†ã®ã†ã¡ï¼Œã‚ˆã使ã†ã‚‚ã®ã‚’挙ã’る。 + +aã‹ã‚‰bã¾ã§ã®æ•´æ•°ã®ãƒªã‚¹ãƒˆã¯ \verb|a..b| （ドット2ã¤ï¼‰ã§ç”Ÿæˆã§ãる。ã“ã®ãƒªã‚¹ãƒˆã®å„è¦ç´ を番å·ä»£ã‚ã‚Šã«ä½¿ã£ã¦ï¼Œ\verb|apply(list,expr)| を用ã„ã‚‹ã¨åº§æ¨™ã®ãƒªã‚¹ãƒˆã‚’作るã“ã¨ãŒã§ãる。\verb|apply(list,expr)| ã¯ï¼Œ\verb|list| ã®å„è¦ç´ ã«ï¼Œå‡¦ç† \verb|expr| ã‚’æ–½ã—ãŸãƒªã‚¹ãƒˆã‚’作る関数ã§ã‚る。 + +\vspace{\baselineskip} +ã€ä¾‹ã€‘星形五角形をæã +\begin{verbatim} + r=2; + pt=apply(0..5,r*[cos(pi/2+#*4*pi/5),sin(pi/2+#*4*pi/5)]); + repeat(5,s,Listplot(text(s),[pt_s,pt_(s+1)])); +\end{verbatim} + +ã“ã“ã§ï¼Œ\verb|text(s)| ã¯ï¼Œæ•°ã‚’æ–‡å—列ã«å¤‰æ›ã™ã‚‹Cindyscriptã®çµ„ã¿è¾¼ã¿é–¢æ•°ã€‚ + +\vspace{\baselineskip}\noindent +{\bf よãã‚るエラーメッセージ} +\begin{tabbing} +1234\=5678901234567890123456789\=\kill + \>Index out of range \>リストã®è¦ç´ ã®å€‹æ•°å¤–ã®å€¤ã‚’指定ã—ãŸã€‚\\ + \>String Index out of range \>æ–‡å—列ã®ã‚¤ãƒ³ãƒ‡ãƒƒã‚¯ã‚¹ãŒç¯„囲外。\\ + \>Potential type mismatch \>変数ã®åž‹ãŒåˆã‚ãªã„。文å—ã¨å®Ÿæ•°ã‚’ã‹ã‘ç®—ã—ãŸã¨ããªã©ã€‚\\ + \>unexpected ) \>括弧ã®ç¨®é¡žãŒå‰å¾Œã§åˆã£ã¦ã„ãªã„。\\ + \>close without open \>é–‰ã˜æ‹¬å¼§ã«å¯¾å¿œã™ã‚‹é–‹ã括弧ãŒãªã„。\\ + \>open without close \>é–‹ã括弧ã«å¯¾å¿œã™ã‚‹é–‰ã˜æ‹¬å¼§ãŒãªã„。\\ + \>Unknown function \>関数ãŒå®šç¾©ã•ã‚Œã¦ã„ãªã„。 +\end{tabbing} + + +\vspace{\baselineskip} +ãã®ä»–，Cindyscriptã«ã¤ã„ã¦ã¯ï¼Œã‚¹ã‚¯ãƒªãƒ—トエディタã‹ã‚‰ãƒ˜ãƒ«ãƒ—ã‚’å‚ç…§ã•ã‚ŒãŸã„。 + +\end{document}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTPicStyleE.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTPicStyleE.tex new file mode 100644 index 00000000000..5ca2f21268a --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTPicStyleE.tex @@ -0,0 +1,552 @@ +\documentclass[papersize,a4paper,12pt]{article} +\usepackage{ketpic,ketlayer} +\usepackage{amsmath} +% \usepackage{amsmath,newtxmath} +%\usepackage[dvipdfmx]{graphicx,color} +\usepackage{graphicx,color} +\usepackage{wrapfig} +%\usepackage[dvipdfmx,bookmarks=false,colorlinks=true,linkcolor=blue]{hyperref} +\usepackage[bookmarks=false,colorlinks=true,linkcolor=blue]{hyperref} +\setmargin{20}{20}{15}{25} +\usepackage{setspace} +\usepackage{comment} +\usepackage{bm,enumerate} + +\newcommand{\bs}{$\backslash$} + +\newcommand{\br}[1]{\{#1\}} + +\newenvironment{cmd}[2]{ +\hypertarget{#2}{} +\begin{center}{\bf\large #1}\end{center} +\begin{description} +}{ +\end{description} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$Command List}\end{flushright} +} + +% item command for this documentation +\newcommand{\itemket}[1]{ +\item[\Ltab{27mm}{#1}] +} + + +\begin{document} +\title{Macros of ketpic.sty and ketlayer.sty} +\author{\ketcindy\ Project Team} +\maketitle + +\begin{center} - ver.1.1 -\end{center} + +%\hypertarget{index}{} +%\tableofcontents + +%\newpage + +\section{Outlines} + +\begin{itemize} +\item ketpic.sty, ketpic2e.sty(it is necessary in pict2e) are used for ketpic. +\item ketlayer.sty, ketlayer2e.sty(it is necessary in pict2e) are used for ketlayer. +\item \bs\verb|Width|, \bs\verb|Height|,\ \bs\verb|Depth| are defined. +\item Temporary counters \verb|ketpictctra|,\ $\cdots$,\ \verb|ketpicctrj| are defined. +\item Package \verb|graphicx|, \verb|color| are required. + +\end{itemize} + + +%========= Envilonment ===================== +\section{Envilonment} + +%------------layer-------------------------------- +\begin{cmd}{layer}{layer} +\itemket{Usage}\verb|\begin{layer}[Ho]{W}{H}|\ $\cdots$\ \verb|\end{layer}| +\itemket{Description}This enviroment draws grids and adds a note or a figure. + +\item[Details]\mbox{}\\ +\Ltab{10mm}{W}Width of grids. The unit is \verb|mm|. + +\Ltab{10mm}{H}Height of grids. The unit is \verb|mm|.\\ +\hspace*{20mm}If \verb|H=0|, grids don't appear.\\ +\hspace*{20mm}If \verb|H<0|, grids appear on the upside. + + +\itemket{Example} \mbox{}\\ +\verb|\begin{layer}{120}{30}|\\ +\verb|\putnotec{20}{10}{abc}|\\ +\verb|\putnotes{60}{0}{\input{Fig/FigE.tex}}|\\ +\verb|\end{layer}| + +\vspace{5mm} + +\begin{layer}{120}{30} +\putnotec{20}{10}{abc} +\putnotes{60}{0}{\input{Fig/FigE.tex}}\end{layer} +%% "FigE.tex" is copy of "addax2.tex" + +\vspace{35mm} + +\item[Remark]Set \verb|H=0| if placement of all components is proper. + +\end{cmd} + + +%========= Macros ===================== +\section{Macros} +%=-=-=-=-= Macros of ketpic =-=-=-=-= +\subsection{Macros of ketpic} +Macros of ketpic are used just like regular commands of \TeX. + +%------------ ketpic ------------ +\begin{cmd}{\bs ketpic}{ketpic} +\itemket{Usage}\verb|\ketpic| +\itemket{Description}This macro displays the logo of {\ketpic}. +\itemket{Examples} \verb|\ketpic| +\end{cmd} + +%------------ ketcindy ------------ +\begin{cmd}{\bs ketcindy}{ketcindy} +\itemket{Usage}\verb|\ketcindy| +\itemket{Description}This macro displays the logo of {\ketcindy}. +\itemket{Examples} \verb|\ketcindy| +\end{cmd} + +%------------ tab ------------ +\begin{cmd}{\bs Ltab, \bs Rtab, \bs Ctab}{tab} +\itemket{Usage}\verb|\Ltab{W}{S}|, \verb|\Rtab{W}{S}|, \verb|\Ctab{W}{S}| +\itemket{Description}This is tab macro. +\itemket{}\verb|\Ltab{W}{S}| secures the width of W and writes S by left justifying it. +\itemket{}\verb|\Rtab{W}{S}| secures the width of W and writes S by right justifying it. +\itemket{}\verb|\Ctab{W}{S}| secures the width of W and writes S at the center. +\end{cmd} + +%------------ ketcalc ------------ +\begin{cmd}{\bs ketcalcwidth, \bs ketcalcheight, \bs ketcalcdepth}{ketcalc} +\itemket{Usage}\verb|\ketcalcwidth[0]{C}|, \verb|\ketcalcheight[0]{C}|, \verb|\ketcalcdepth[0]{C}| +\itemket{Description}These functions return the size of C using current unit to the counter \verb|ketpicctr1|. +If option is 1, it displays the value. +\itemket{}\verb|\ketcalcwidth[0]{C}| returns the width of C. +\itemket{}\verb|\ketcalcheight[0]{C}| returns the height of C. +\itemket{}\verb|\ketcalcdepth[0]{C}| returns the depth of C. +\itemket{Examples} \verb|\ketcalcwidth[0]{abc}, \theketpicctra, \ketcalcwidth[1]{abc}| \par +It displays ``\ketcalcwidth[0]{abc}, \theketpicctra, \ketcalcwidth[1]{abc}''. +\end{cmd} + +%------------ ketcalcwh ------------ +\begin{cmd}{\bs ketcalcwh}{ketcalcwh} +\itemket{Usage}\verb|\ketcalcwh{C}| +\itemket{Description}This function displays the width and height of C using \verb|mm| in the form \{width\}\{height\}. +\itemket{Examples} \verb|\ketcalcwh{abc}|\par +It displays ``\ketcalcwh{abc}''. +\end{cmd} + +%------------ dangerbendmark ------------ +\begin{cmd}{\bs dangerbendmark}{dangerbendmark} +\itemket{Usage}\verb|\dangerbendmark[size]| +\itemket{Description}This function displays the symbol ``Dangerous turning point'' of Bulbaki. +\itemket{Examples} \verb|\dangerbendmark[1.2]| --->\ \ \dangerbendmark[1.2] +\end{cmd} + +%------------ cautionmark ------------ +\begin{cmd}{\bs cautionmark}{cautionmark} +\itemket{Usage}\verb|\cautionmark[size]| +\itemket{Description}This function displays the caution mark. +\itemket{Examples} \verb|\caoutionmark[1.2]| --->\ \ \cautionmark[1.2] +\end{cmd} + +%------------ circlemark ------------ +\begin{cmd}{\bs circlemark}{circlemark} +\itemket{Usage}\verb|\circlemark[thickness]{size}| +\itemket{Description}This function displays the circle. +If size=1, the diameter of the circle is 4mm. +\itemket{Examples} \verb|\circlemark[8]{1.2}| --->\ \ \circlemark[8]{1.2} +\end{cmd} + +%------------ circleshade ------------ +\begin{cmd}{\bs circleshade}{circleshade} +\itemket{Usage}\verb|\circleshade[thickness]{size}{density}| +\itemket{Description}This function displays the solid circle. +\itemket{Examples} \verb|\circleshade[8]{1.2}{0.3}| --->\ \ \circleshade[8]{1.2}{0.3} +\end{cmd} + +%------------ arrow of increase or decrease ------------ +\begin{cmd}{\bs NEarrow, \bs NELarrow, ...}{arrow of i or d} +\itemket{Usage}\verb|\NEarrow[size]|, \verb|\NELarrow[size}|, \verb|\NERarrow[size]|, +\itemket{Description}These functions display the arrow of increase or decrease. +\itemket{Examples} \mbox{} + +\vspace{-3mm}\hspace{16mm} +\begin{tabular}{|rl|rl|rl|rl|} +\hline + \verb|\NEarrow| & \NEarrow & \verb|\SEarrow| & \SEarrow & \verb|\NWarrow| & \NWarrow & \verb|\SWarrow| & \SWarrow \\ +\hline +\verb|\NELarrow| & \NELarrow & \verb|\SELarrow| & \SELarrow & \verb|\NWLarrow| & \NWLarrow & \verb|\SWLarrow| & \SWLarrow \\ +\hline +\verb|\NERarrow| & \NERarrow & \verb|\SERarrow| & \SERarrow & \verb|\NWRarrow| & \NWRarrow & \verb|\SWRarrow| & \SWRarrow \\ +\hline +\end{tabular} +\end{cmd} + +%=-=-=-=-= Macros of ketlayer =-=-=-=-= +\subsection{Macros of ketlayer} +Macros of ketlayer are used in layer environment. + +Some macros take the form of connected main part and direction (``c'', ``e'', ``w'', ``s'', ``n''). +In the following we write them as ``main part + dir''. +Direction can be combine like as options of {\ketcindy} commands. +% (``ne'', ``nw'', ``se'', ``sw'') + +For example, if main part is ``\verb|putnote|'', ``\verb|putnote+dir|'' are \par +``\verb|putnotec|'', ``\verb|putnotee|'', ``\verb|putnotew|'', ``\verb|putnotes|'', ``\verb|putnoten|'', ``\verb|putnotene|'', ``\verb|putnotenw|'', ``\verb|putnotese|'', ``\verb|putnotesw|''. + +%-------------putnote+dir------------------------------- +\begin{cmd}{\bs putnote+dir}{putnote} +\itemket{Usage}\verb|\putnote+dir{x}{y}{Char}| +\itemket{Description}These functions put Char in the direction of dir of coordinates (x, y). +\itemket{}\verb|putnotec{x}{y}{Char}| puts Char with (x,y) as the center. +\itemket{}\verb|putnotee{x}{y}{Char}| puts Char on the right of (x,y). +\itemket{}\verb|putnotew{x}{y}{Char}| puts Char on the left of (x,y). +\itemket{}\verb|putnotes{x}{y}{Char}| puts Char under (x,y). +\itemket{}\verb|putnoten{x}{y}{Char}| puts Char above (x,y). +\itemket{Example}\mbox{}\\ +\verb|\putnotese{20}{10}{\fbox{$\dfrac{1}{2}$}}|\\ +\verb|\putnotec{40}{10}{\fbox{$\dfrac{1}{3}$}}|\\ + +\begin{layer}{60}{30} +\putnotese{20}{10}{\fbox{$\dfrac{1}{2}$}} +\putnotec{40}{10}{\fbox{$\dfrac{1}{3}$}} +\end{layer} +\vspace{30mm} +\end{cmd} + +%-------------boxframe+dir------------------------------- +\begin{cmd}{\bs boxframe+dir}{boxframe} +\itemket{Usage}\verb|\boxframe+dir[thickness]{x}{y}{W}{H}{Strings}| +\itemket{Description}These functions draw a rectangle with width W and height H in the direction of dir of coordinates (x, y), and put the strings inside. +\end{cmd} + +%-------------dashboxframe+dir------------------------------- +\begin{cmd}{\bs dashboxframe+dir}{dashboxframe} +\itemket{Usage}\verb|\dashboxframe+dir[thickness]{x}{y}{W}{H}{Strings}| +\itemket{Description}These functions draw a dashed rectangle with width W and height H in the direction of dir of coordinates (x, y), and put the strings inside. +\end{cmd} + +%-------------jaggyboxframe+dir------------------------------- +\begin{cmd}{\bs jaggyboxframe+dir}{jaggyboxframe} +\itemket{Usage}\verb|\jaggyboxframe+dir[thickness]{x}{y}{W}{H}{Strings}| +\itemket{Description}These functions draw a jaggy rectangle with width W and height H in the direction of dir of coordinates (x, y), and put the strings inside. +\end{cmd} + +%-------------diaboxframe+dir------------------------------- +\begin{cmd}{\bs diaboxframe+dir}{diaboxframe} +\itemket{Usage}\verb|\diaboxframe+dir[thickness]{x}{y}{W}{H}{Strings}| +\itemket{Description}These functions draw a rectangle with width W, height H, connecting diamond shapes, in the direction of dir of coordinates (x, y), and put the strings inside. +\end{cmd} + +%-------------eraser+dir------------------------------- +\begin{cmd}{\bs eraser+dir}{eraser} +\itemket{Usage}\verb|\eraser+dir[F]{x}{y}{W}{H}| +\itemket{Description}These functions erase the interior of rectangle with width W and height H in the direction of dir of coordinates (x, y). +If F=0, it don't draw border lines. By default, F=1. +\end{cmd} + +%-------------shadebox+dir------------------------------- +\begin{cmd}{\bs shadebox+dir}{shadebox} +\itemket{Usage}\verb|\shadebox+dir[F]{x}{y}{W}{H}{C1}{C2}| +\itemket{Description}These functions draw a rectangle with width W and height H in the direction of dir of coordinates (x, y), paint inside with color C1, and draw a border with color C2. +If F=0, they don't draw border lines. By default, F=0. + +\end{cmd} + +%-------------example 1------------------------------- +\vspace{5mm} + +\begin{layer}{160}{0} + \boxframese{000}{0}{30}{16}{boxframe} + \dashboxframese{035}{0}{30}{16}{dashboxframe} +\jaggyboxframese{070}{0}{30}{16}{jaggyboxframe} + \diaboxframese{105}{0}{30}{16}{diaboxframe} + \shadeboxse[0]{140}{0}{30}{16}{yellow}{black} +\end{layer} + +\vspace{15mm} +\newpage + +%-------------popframe------------------------------- +\begin{cmd}{\bs popframe}{popframe} +\itemket{Usage}\verb|\popframe[thickness]{x}{y}{Dummy}{Cs}{Dummy}{Cp}{Cf}{Strings}| +\itemket{Description}This function draws a rectangle on the lower right (se) of the coordinates \text{(x, y)}, put strings inside and add a shadow of the color Cs. +\itemket{Details}Cp is background color. Cf is border color.\par +\Ltab{18.5mm}{}{\tt Note.\ }Dummy(color name) are currently ignored.\par +\Ltab{18.5mm}{}The size of the rectangle is determined automatically from strings.\par +\Ltab{18.5mm}{}The line thickness is 8 by default.\par +\Ltab{18.5mm}{}Strings must be width$\leq$ 200 mm, height$\leq$ 100 mm. +\end{cmd} + +%-------------colorframe------------------------------- +\begin{cmd}{\bs colorframe}{colorframe} +\itemket{Usage}\verb|\colorframe[thickness]{x}{y}{Cp}{Cs}{Cf}{Strings}| +\itemket{Description}This function draws a rectangle on the lower right (se) of the coordinates \text{(x, y)}, put strings inside. +\itemket{Details}Cp is background color. Cf is border color.\par +\Ltab{18.5mm}{}{\tt Note.\ }Dummy(color name) is ignored.\par +\Ltab{18.5mm}{}The size of the rectangle is determined automatically from strings.\par +\Ltab{18.5mm}{}The line thickness is 8 by default.\par +\Ltab{18.5mm}{}Strings must be width$\leq$ 200 mm, height$\leq$ 100 mm. +\end{cmd} + +%-------------example 2------------------------------- +\vspace{15mm} +\noindent{\bf Examples.}\par +\verb|\definecolor{shade}{cmyk}{0,0,0,0.4}| $\gets$ color name ``shade'' defined.\par +\verb|\popframe[16]{40}{5}{white}{shade}{white}{cyan}{red}{\Large\tt POP frame}| \par +\verb|\colorframe[16]{90}{5}{yellow}{white}{blue}{\Large\tt COLOR frame}| \\ + +\begin{layer}{160}{0} +\definecolor{shade}{cmyk}{0,0,0,0.4} +% \popframe[16]{40}{5}{Ds}{shade}{Dp}{yellow}{green}{\Large\tt POP frame} + \popframe[16]{40}{5}{Ds}{shade}{Dp}{cyan}{red}{\Large\tt POP frame} +\colorframe[16]{90}{5}{yellow}{green}{blue}{\Large\tt COLOR frame} +\end{layer} + +\vspace{25mm} + +%-------------cirscoremark------------------------------- +\begin{cmd}{\bs cirscoremark}{cirscoremark} +\itemket{Usage}\verb|\cirscoremark[thickness]{size}| +\itemket{Description}This function draws a handwritten double circle. +\end{cmd} + +%-------------scirscoremark------------------------------- +\begin{cmd}{\bs scirscoremark}{scirscoremark} +\itemket{Usage}\verb|\scirscoremark[thickness]{size}| +\itemket{Description}This function draws a handwritten single circle. +\end{cmd} + +%-------------triscoremark------------------------------- +\begin{cmd}{\bs triscoremark}{triscoremark} +\itemket{Usage}\verb|\triscoremark[thickness]{size}| +\itemket{Description}This function draws a handwritten triangle. +\end{cmd} + +%-------------crosscoremark------------------------------- +\begin{cmd}{\bs crosscoremark}{crosscoremark} +\itemket{Usage}\verb|\crosscoremark[thickness]{size}| +\itemket{Description}This function draws a handwritten cross mark. +\end{cmd} + +\begin{layer}{170}{0} +\putnotec{30}{25}{\cirscoremark{0.8}} +\putnotec{60}{25}{\scirscoremark{0.8}} +\putnotec{90}{25}{\triscoremark{0.8}} +\putnotec{120}{25}{\crosscoremark{0.8}} +\end{layer} + +\vspace{45mm} + +%-------------lineseg------------------------------- +\begin{cmd}{\bs lineseg}{lineseg} +\itemket{Usage}\verb|\lineseg[thickness]{x}{y}{L}{|{$\theta$}\verb|}| +\itemket{Description}This function draws a line segment of length L from the coordinates (x, y) in the direction of $\theta^\circ$ degrees. +\itemket{Details}Unit of length L is mm.\par +\Ltab{18.5mm}{}The line thickness is 12 by default. Unit is milli inch\par +\Ltab{18.5mm}{}x, y, $\theta$ may be decimal. +\itemket{Example}\verb|\lineseg[16]{135}{25}{30}{25}| + +\begin{layer}{160}{0} +\lineseg[16]{60}{20}{30}{25} +%\arrowlineseg[16]{130}{50}{10}{45} +\end{layer} + +\vspace{25mm} +\end{cmd} +%-------------dashlineseg------------------------------- +\begin{cmd}{\bs dashlineseg}{dashlineseg} +\itemket{Usage}\verb|\dashlineseg[thickness]{x}{y}{L}{|{$\theta$}\verb|}| +\itemket{Description}This function draws a dash line segment of length L from the coordinates \text{(x, y)} in the direction of $\theta^\circ$ degrees. +\itemket{Details}Unit of length L is mm.\par +\Ltab{18.5mm}{}The line thickness is 12 by default. Unit is milli inch\par +\Ltab{18.5mm}{}x, y, $\theta$ may be decimal. + +\end{cmd} +%-------------arrowlineseg------------------------------- +\begin{cmd}{\bs arrowlineseg}{arrowlineseg} +\itemket{Usage}\verb|\arrowlineseg[thickness]{x}{y}{L}{|{$\theta$}\verb|}| +\itemket{Description}This function draws a arrow line segment of length L from the coordinates \text{(x, y)} in the direction of $\theta^\circ$ degrees. +\itemket{Details}The arrowhead is drawn at the starting point.\par +\Ltab{18.5mm}{}The line thickness is 12 by default. Unit is milli inch.\par +\Ltab{18.5mm}{}x, y, $\theta$ may be decimal. +\itemket{Example}\verb|\arrowlineseg[16]{60}{20}{10}{45}| + +\begin{layer}{160}{0} +%\lineseg[16]{60}{20}{30}{25} +\arrowlineseg[16]{60}{15}{10}{45} +\end{layer} + +\vspace{20mm} +\end{cmd} + +%-------------arrowhead------------------------------- +\begin{cmd}{\bs arrowhead}{arrowhead} +\itemket{Usage}\verb|\arrowhead[size]{x}{y}{|{$\theta$}\verb|}| +\itemket{Description}This function draws a arrowhead on the coordinates (x, y) in the direction of $\theta^\circ$ degrees. +\itemket{Details}The line thickness is 12 by default. Unit is milli inch.\par +\Ltab{18.5mm}{}x, y, $\theta$ may be decimal. +\end{cmd} + +%-------------hjaggyline------------------------------- +\begin{cmd}{\bs hjaggyline}{hjaggyline} +\itemket{Usage}\verb|\hjaggyline[thickness]{x}{y}{W}| +\itemket{Description}This function draws a jagged line of length W from the coordinates (x, y) to the right. +\end{cmd} + +%-------------hjaggylineb------------------------------- +\begin{cmd}{\bs hjaggylineb}{hjaggylineb} +\itemket{Usage}\verb|\hjaggylineb[thickness]{x}{y}{W}| +\itemket{Description}This function draws a jagged line of length W from the coordinates (x, y) to the right. +\itemket{Details}This function draws a reverse jagged line against ``hjaggyline''.\par +\end{cmd} + +%-------------vjaggyline------------------------------- +\begin{cmd}{\bs vjaggyline}{vjaggyline} +\itemket{Usage}\verb|\vjaggyline[thickness]{x}{y}{W}| +\itemket{Description}This function draws a jagged line of length W from the coordinates (x, y) to the right. +\end{cmd} + +%-------------vjaggylineb------------------------------- +\begin{cmd}{\bs vjaggylineb}{vjaggylineb} +\itemket{Usage}\verb|\vjaggylineb[thickness]{x}{y}{W}| +\itemket{Description}This function draws a jagged line of length W from the coordinates (x, y) to the right. +\itemket{Details}This function draws a reverse jagged line against ``vjaggyline''.\par +\end{cmd} + +%-------------example 3------------------------------- +\noindent{\bf Examples.}\par +\Ltab{18.5mm}{}\verb|\hjaggyline{40}{10}{15}| \par +\Ltab{18.5mm}{}\verb|\hjaggylineb{40}{20}{15}| \par +\Ltab{18.5mm}{}\verb|\vjaggyline{70}{10}{15}| \par +\Ltab{18.5mm}{}\verb|\vjaggylineb{90}{10}{15}| \par + +\begin{layer}{160}{0} + \hjaggyline{40}{10}{15} +\hjaggylineb{40}{20}{15} + \vjaggyline{70}{10}{15} +\vjaggylineb{90}{10}{15} +\end{layer} + +\vspace{35mm} + +%-------------circleline------------------------------- +\begin{cmd}{\bs circleline}{circleline} +\itemket{Usage}\verb|\circleline{x}{y}{size}| +\itemket{Description}This function draws a circle with (x, y) as the center. +\end{cmd} + +%-------------ballonr------------------------------- +\begin{cmd}{\bs ballonr}{ballonr} +\itemket{Usage}\verb|\ballonr[thickness]{x}{y}{size}{Char}| +\itemket{Description}This function draws a balloon in the upper right side from (x, y) and, puts Char inside. +\end{cmd} + +%-------------ballonl------------------------------- +\begin{cmd}{\bs ballonl}{ballonl} +\itemket{Usage}\verb|\ballonl[thickness]{x}{y}{size}{Char}| +\itemket{Description}This function draws a balloon in the upper left side from (x, y) and, puts Char inside. +\end{cmd} + +%-------------lefthand------------------------------- +\begin{cmd}{\bs lefthand}{lefthand} +\itemket{Usage}\verb|\lefthand[thickness]{x}{y}| +\itemket{Description}This function draws a fingertip on (x, y). +\end{cmd} + +%-------------righthand------------------------------- +\begin{cmd}{\bs righthand}{righthand} +\itemket{Usage}\verb|\righthand[thickness]{x}{y}| +\itemket{Description}This function draws a fingertip on (x, y). +\end{cmd} + +%-------------leftdownhand------------------------------- +\begin{cmd}{\bs leftdownhand}{leftdownhand} +\itemket{Usage}\verb|\leftdownhand[thickness]{x}{y}| +\itemket{Description}This function draws a fingertip on (x, y). +\end{cmd} + +%-------------rightdownhand------------------------------- +\begin{cmd}{\bs rightdwonhand}{rightdownhand} +\itemket{Usage}\verb|\rightdownhand[thickness]{x}{y}| +\itemket{Description}This function draws a fingertip on (x, y). +\end{cmd} + +%-------------example 3------------------------------- +\noindent{\bf Examples.}\par + +\begin{layer}{170}{0} + \ballonr{30}{35}{1}{Example1} + \ballonl{90}{30}{1}{Example2} + \lefthand{120}{25} + \righthand{140}{25} + \leftdownhand{120}{15} +\rightdownhand{140}{15} +\end{layer} + +\newpage + +%-==Command List ======================== +\hypertarget{functionlist}{} +\section{Command List} +%\hyperlink{index}{To index} + +\begin{tabbing} +12345678901234567890\=\kill + +{\bf Macros of ketpic} \> \\ +\hyperlink{ketpic}{\bs ketpic} \> logo of \ketpic\\ +\hyperlink{ketcindy}{\bs ketcindy} \> logo of \ketcindy\\ +\hyperlink{tab}{\bs Ltab} \> left tab\\ +\hyperlink{tab}{\bs Rtab} \> right tab\\ +\hyperlink{tab}{\bs Ctab} \> center tab\\ +\hyperlink{ketcalc}{\bs ketcalcwidth} \> returns the width of strings\\ +\hyperlink{ketcalc}{\bs ketcalcheight} \> returns the height of strings\\ +\hyperlink{ketcalc}{\bs ketcalcdepth} \> returns the depth of strings\\ +\hyperlink{ketcalcwh}{\bs ketcalcwh} \> returns the width and height of strings\\ +\hyperlink{dangerbendmark}{\bs dangerbendmark} \> symbol ``Dangerous turning point'' of Bulbaki\\ +\hyperlink{cautionmark}{\bs cautionmark} \> caution mark\\ +\hyperlink{circlemark}{\bs circlemark} \> circle\\ +\hyperlink{circleshade}{\bs circleshade} \> solid circle\\ +\hyperlink{arrow of i or d}{\bs NEarrow, ...} \> arrow of increase or decrease\\ + +{\bf Macros of ketlayer} \> \\ +\hyperlink{putnote}{\bs putnote+dir} \> puts Char\\ +\hyperlink{boxframe}{\bs boxframe+dir} \> draws a rectangle and puts strings\\ +\hyperlink{dashboxframe}{\bs dashboxframe+dir} \> draws a dashed rectangle and puts strings\\ +\hyperlink{jaggyboxframe}{\bs jaggyboxframe+dir} \> draws a jaggy rectangle and puts strings\\ +\hyperlink{diaboxframe}{\bs diaboxframe+dir} \> draws a diamond chaining rectangle and puts strings\\ +\hyperlink{eraser}{\bs eraser+dir} \> erases the interior of a rectangle\\ +\hyperlink{shadebox}{\bs shadebox+dir} \> draws a shaded rectangle and puts strings\\ +\hyperlink{popframe}{\bs popframe} \> draws a rectangle and shade with the specified color and puts strings\\ +\hyperlink{colorframe}{\bs colorframe} \> draws a rectangle with the specified color and puts strings\\ +\hyperlink{cirscoremark}{\bs cirscoremark} \> draws a handwritten double circle\\ +\hyperlink{scirscoremark}{\bs scirscoremark} \> draws a handwritten single circle\\ +\hyperlink{triscoremark}{\bs triscoremark} \> draws a handwritten triangle\\ +\hyperlink{crosscoremark}{\bs crosscoremark} \> draws a handwritten cross mark\\ +\hyperlink{lineseg}{\bs lineseg} \> draws a line segment specified angle\\ +\hyperlink{dashlineseg}{\bs dashlineseg} \> draws a dashed line segment specified angle\\ +\hyperlink{arrowlineseg}{\bs arrowlineseg} \> draws a arrow line segment specified angle\\ +\hyperlink{arrowhead}{\bs arrowhead} \> draws a arrowhead specified angle\\ +\hyperlink{hjaggyline}{\bs hjaggyline} \> draws a horizontal jaggy line segment\\ +\hyperlink{hjaggylineb}{\bs hjaggylineb} \> draws a horizontal jaggy line segment against \bs hjaggyline\\ +\hyperlink{vjaggyline}{\bs vjaggyline} \> draws a vertical jaggy line segment\\ +\hyperlink{vjaggylineb}{\bs vjaggylineb} \> draws a vertical jaggy line segment against \bs vjaggyline\\ +\hyperlink{circleline}{\bs circleline} \> draws a circle\\ +\hyperlink{ballonl}{\bs ballonl} \> draws a ballon and puts strings inside\\ +\hyperlink{ballonr}{\bs ballonr} \> draws a ballon and puts strings inside\\ +%\hyperlink{lefthand}{\bs lefthand} \> draws a leftward fingertip\\ +%\hyperlink{righthand}{\bs righthand} \> draws rightward fingertip\\ +\hyperlink{lefthand}{\bs lefthand} \> draws fingertip\\ +\hyperlink{righthand}{\bs righthand} \> draws fingertip\\ +\hyperlink{leftdownhand}{\bs leftdownhand} \> draws fingertip\\ +\hyperlink{rightdownhand}{\bs rightdownhand} \> draws fingertip\\ + +\end{tabbing} + +\end{document}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTpicStyleJ.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTpicStyleJ.tex new file mode 100644 index 00000000000..1649dd10b64 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTpicStyleJ.tex @@ -0,0 +1,572 @@ +\documentclass[a4j,12pt,dvipdfmx]{ujarticle} +%\documentclass[papersize,a4paper,12pt]{article} +\usepackage{ketpic,ketlayer} +\usepackage{amsmath,amssymb} +\usepackage{graphicx,color} +\usepackage{wrapfig} +%\usepackage[dvipdfmx,bookmarks=false,colorlinks=true,linkcolor=blue]{hyperref} +\usepackage[bookmarks=false,colorlinks=true,linkcolor=blue]{hyperref} +\setmargin{20}{20}{15}{25} +\usepackage{setspace} +\usepackage{comment} +\usepackage{bm,enumerate} + +\newcommand{\tab}[2][50mm]{% % \tabã®å®šç¾©ã§zwを㎜ã«å¤‰æ›ã—ãŸã€‚ +\noindent +\hspace*{6.7mm}\Ltab{#1 }{{\tt #2}}% % 使用法を考ãˆã¦æ›¸ä½“\tt（タイプライタ体）を指定ã—ãŸã€‚ +} + +\newcommand{\bs}{$\backslash$} + +\newcommand{\br}[1]{\{#1\}} + +\newenvironment{cmd}[2]{% "Command List" ã‚’"コマンド一覧"ã«ã—ãŸã€‚ +\hypertarget{#2}{} +\begin{center}{\bf\large #1}\end{center} +\begin{description} +}{ +\end{description} +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$Command List}\end{flushright} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$コマンド一覧}\end{flushright} +} + +% item command for this documentation +\newcommand{\itemket}[1]{ +\item[\Ltab{27mm}{#1}] +} + +% item command for this documentation % 日本語マニュアル用ã®å¯¸æ³• +\newcommand{\itemketj}[1]{ +\item[\Ltab{15mm}{#1}] +} + +\newcommand{\Chuu}[1][6.7mm]{% \chuu ã®15zwよりç‹ã„\Chuuã¯ï¼Œ6.7mm +\Ltab{#1}{}※ % +} + + +\西暦 + +\begin{document} +\title{{\bf\huge ketpic.sty 㨠ketlayer.sty}} +\author{\ketcindy\ Project Team} +\maketitle + +\begin{center} - ver.1.1 -\end{center} + +%\hypertarget{index}{} +%\tableofcontents +%\newpage + +\section{概è¦} + +\begin{itemize} +\item パッケージã®æŒ‡å®š\\ +\quad\verb|\usepackage{ketpic, ketlayer}|\\ +\quad\verb|\usepackage{ketpic2e, ketlayer2e}| (pict2eを用ã„ã‚‹ã¨ã) +\item \verb|\usepackage{graphicx,color}| ãŒå¿…è¦. +\item è·é›¢å¤‰æ•° \bs\verb|Width|, \bs\verb|Height|,\ \bs\verb|Depth| を定義ã—ã¦ã‚ã‚‹. +\item 10個ã®ä¸€æ™‚カウンタ \verb|ketpictctra|,\ $\cdots$,\ \verb|ketpicctrj| を定義ã—ã¦ã‚ã‚‹. + +\end{itemize} + +\section{プリアンブル用マクãƒ(ketpic)} +\vspace{\baselineskip} +\begin{cmd}{\bs setmargin}{setmargin} +\itemketj{使用法}\verb|\setmargin{left}{right}{top}{bottom}| +\itemketj{説明}余白è¨å®šï¼ˆå˜ä½ã¯mm） +\itemketj{例}\verb|\setmargin{20}{20}{15}{25}| +\end{cmd} + +\section{本文用マクãƒ} +%========= Envilonment ===================== +%\setcounter{subsection}{-1} + +\subsection{æ–¹å‘指定} + +ketpic,ketlayer,\ketcindy ã§ã¯ï¼Œæ–¹å‘を指定ã™ã‚‹ã®ã«ï¼Œæ±è¥¿å—北ã®é æ–‡å— e,w,s,n を用ã„ã‚‹ã“ã¨ãŒã‚ˆãã‚る．ãªãŠï¼Œä¸å¿ƒã¯ c． + +\hspace{60mm} n + +\hspace{50.5mm} w\hspace{5mm} c\hspace{5mm} e + +\hspace{60mm} s + + +ã•ã‚‰ã«ï¼Œã“れを組ã¿åˆã‚ã›ã¦ en ã¾ãŸã¯ en ã¯åŒ—æ±ã™ãªã‚ã¡å³ä¸Š ãªã©ã¨ãªã‚‹ï¼Ž + +本マニュアルã§ã¯ï¼Œã“れらã®æ–¹å‘ã‚’ "\verb|dir|'' ã¨ã—ã¦è¡¨ã—，c,e,w,s,n ãŒä½¿ãˆã‚‹ã“ã¨ã‚’示ã™ï¼Ž + +ãŸã¨ãˆã°ï¼Œ"\verb|putnote+dir|'' ã¯ï¼Œ"\verb|putnotec|'', "\verb|putnotee|'' ãªã©ã¨ã—ã¦ï¼Œæ–¹å‘ç§é‚¸ã‚’åˆã‚ã›ã¦ä½¿ã†ã“ã¨ã‚’æ„味ã™ã‚‹ï¼Ž + + +%=-=-=-=-= Macros of ketpic =-=-=-=-= +\subsection{ketpicã®ãƒžã‚¯ãƒ} +ketpic ã®ãƒžã‚¯ãƒã¯ï¼Œé€šå¸¸ã®\TeX\ コマンドã¨åŒæ§˜ã«ä½¿ç”¨ã™ã‚‹. + +%------------ ketpic ------------ +\vspace{\baselineskip} +\begin{cmd}{\bs ketpic}{ketpic} +\itemketj{使用法}\verb|\ketpic| +\itemketj{説明}ãƒã‚´ {\ketpic} を出力. +\end{cmd} + +%------------ ketcindy ------------ +\begin{cmd}{\bs ketcindy}{ketcindy} +\itemketj{使用法}\verb|\ketcindy| +\itemketj{説明}ãƒã‚´ {\ketcindy} を出力. +\end{cmd} + +%------------ tab ------------ +\begin{cmd}{\bs Ltab, \bs Rtab, \bs Ctab}{tab} +\itemketj{使用法}\verb|\Ltab{W}{S}|, \verb|\Rtab{W}{S}|, \verb|\Ctab{W}{S}| +\itemketj{説明} +\Ltab{50mm}{{\tt \bs Ltab\br{W}\br{S}}}{}å¹…Wを確ä¿ã—ã¦Sを左寄ã›ã§æ›¸ã.\\ +\tab{{\tt \bs Rtab\br{W}\br{S}}}{}å¹…Wを確ä¿ã—ã¦Sã‚’å³å¯„ã›ã§æ›¸ã.\\ +\tab{{\tt \bs Ctab\br{W}\br{S}}}{}å¹…Wを確ä¿ã—ã¦Sã‚’ä¸å¤®å¯„ã›ã§æ›¸ã. +\itemketj{例} +\Ltab{30mm}{text}text2 + +\Rtab{30mm}{text}text2 + +\Ctab{30mm}{text}text2 + +\end{cmd} + +%------------ ketcalc ------------ +\begin{cmd}{\bs ketcalcwidth, \bs ketcalcheight, \bs ketcalcdepth}{ketcalc} +\itemketj{使用法}\verb|\ketcalcwidth[0]{C}|, \verb|\ketcalcheight[0]{C}|, \verb|\ketcalcdepth[0]{C}| +\itemketj{説明}æ–‡å—列Cã®ã‚µã‚¤ã‚ºã‚’å˜ä½é•·ã§è¨ˆã£ã¦ã‚«ã‚¦ãƒ³ã‚¿\verb|ketpicctr1|ã«è¿”ã™.オプションãŒ1ã®ã¨ãã¯, 値を表示ã™ã‚‹.\\ +\tab{\bs ketcalcwidth[0]\br{C}} æ–‡å—列Cã®å¹…を計る.\\ +\tab{\bs ketcalcheight[0]\br{C}} æ–‡å—列Cã®é«˜ã•ã‚’計る.\\ +\tab{\bs ketcalcdepth[0]\br{C}} æ–‡å—列Cã®æ·±ã•ã‚’計る. +\itemketj{例} \verb|\ketcalcwidth[0]{abc}, \theketpicctra, \ketcalcwidth[1]{abc}| ã¨ã™ã‚Œã°ï¼Œ\par +``\ketcalcwidth[0]{abc}, \theketpicctra, \ketcalcwidth[1]{abc}'' を出力ã™ã‚‹. +\end{cmd} + +%------------ ketcalcwh ------------ +\begin{cmd}{\bs ketcalcwh}{ketcalcwh} +\itemketj{使用法}\verb|\ketcalcwh{C}| +\itemketj{説明}æ–‡å—列 C ã®å¹…ã¨é«˜ã•ã‚’\{width\}\{height\}ã®å½¢å¼ã§è¿”ã™. å˜ä½é•·ã¯\verb|mm| ã¨ã™ã‚‹. +\itemketj{例} \verb|\ketcalcwh{abc}|ã¨ã™ã‚Œã°ï¼Œ"\ketcalcwh{abc}'' を出力ã™ã‚‹. +\end{cmd} + +%------------ dangerbendmark ------------ +\begin{cmd}{\bs dangerbendmark}{dangerbendmark} +\itemketj{使用法}\verb|\dangerbendmark[size]| +\itemketj{説明}「ブルãƒã‚ã®å±é™ºãªæ›²ãŒã‚Šè§’ã€" {\dangerbendmark[1.2]} '' を出力ã™ã‚‹. +\end{cmd} + +%------------ cautionmark ------------ +\begin{cmd}{\bs cautionmark}{cautionmark} +\itemketj{使用法}\verb|\cautionmark[size]| +\itemketj{説明}注æ„書ãã®ãƒžãƒ¼ã‚¯`` {\cautionmark[1.2]}'' を出力ã™ã‚‹. +\end{cmd} + +%------------ circlemark ------------ +\begin{cmd}{\bs circlemark}{circlemark} +\itemketj{使用法}\verb|\circlemark[thickness]{size}| +\itemketj{説明}円を出力ã™ã‚‹. size=1ã®ã¨ã, 円ã®ç›´å¾„ã¯4mm. +\end{cmd} + +%------------ circleshade ------------ +\begin{cmd}{\bs circleshade}{circleshade} +\itemketj{使用法}\verb|\circleshade[thickness]{size}{density}| +\itemketj{説明}ä¸å¡—ã‚Šã®å††ã‚’出力ã™ã‚‹. ä¸å¡—ã‚Šã®æ¿ƒã•ã‚’density ã§æŒ‡å®šã™ã‚‹. +\itemketj{例} \verb|\circleshade[8]{1.2}{0.3}| 㧠\circleshade[8]{1.2}{0.3} ãŒå‡ºåŠ›ã•ã‚Œã‚‹. +\end{cmd} + +%------------ arrow of increase or decrease ------------ +\begin{cmd}{\bs dir+arrow/Larrow/Rarrow}{arrow of i or d} +\itemketj{使用法}\verb|\arrow[size]|ã®é 部ã«ï¼Œæ–¹å‘を大文å—ã§ä»˜åŠ ã™ã‚‹ï¼Ž + +\hspace{8mm}{\bs Larrow}, {\bs Rarrow} ã¯å‡¹å‡¸ç”¨ã®æ¹¾æ›²ã—ãŸçŸ¢å°ï¼Ž +\itemketj{説明}増減矢å°ã‚’出力ã™ã‚‹ï¼Žsizeã¯å€çŽ‡ï¼Ž +\itemketj{例} \mbox{} + +\vspace{-3mm}\hspace{16mm} +\begin{tabular}{|rl|rl|rl|rl|} +\hline + \verb|\NEarrow| & \NEarrow & \verb|\SEarrow| & \SEarrow & \verb|\NWarrow| & \NWarrow & \verb|\SWarrow| & \SWarrow \\ +\hline +\verb|\NELarrow| & \NELarrow & \verb|\SELarrow| & \SELarrow & \verb|\NWLarrow| & \NWLarrow & \verb|\SWLarrow| & \SWLarrow \\ +\hline +\verb|\NERarrow| & \NERarrow & \verb|\SERarrow| & \SERarrow & \verb|\NWRarrow| & \NWRarrow & \verb|\SWRarrow| & \SWRarrow \\ +\hline +\end{tabular} +\end{cmd} + +%=-=-=-=-= Macros of ketlayer =-=-=-=-= +\subsection{ketlayerã®ãƒžã‚¯ãƒ} +ketlayer ã®ãƒžã‚¯ãƒã¯ï¼Œlayer環境ã®ä¸ã§ä½¿ç”¨ã™ã‚‹.\\ + +%%==========layer環境========== +%\subsection*{layer環境} + +%------------layer-------------------------------- +\begin{cmd}{layer環境ã«ã¤ã„ã¦}{layer} +\itemketj{使用法}\verb|\begin{layer}[Ho]{W}{H}|\ $\cdots$\ \verb|\end{layer}| +\itemketj{説明}メモや図表をé…ç½®ã™ã‚‹ãŸã‚ã®picture環境を定義ã—ã¦ï¼Œæ–¹çœ¼ã‚’æã.\\ +\Chuu W：方眼ã®å¹…，H：方眼ã®é«˜ã•ï¼ŒHo：方眼ã®æ°´å¹³ç§»å‹•\\ +\Chuu é•·ã•ã®å˜ä½ã¯ã„ãšã‚Œã‚‚mmã§ã‚ã‚‹.（水平移動ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯0）\\ +\Chuu \verb|H=0|ã®ã¨ã, 方眼をæã‹ãªã„. \verb|H<0|ã®ã¨ã, 上å´ã«æ–¹çœ¼ã‚’æã. + +\itemketj{例} \mbox{}\\ +\verb|\begin{layer}{120}{30}|\\ +\verb|\putnotec{20}{10}{abc}|\\ +\verb|\putnotes{60}{0}{\input{Fig/FigE.tex}}|\\ +\verb|\end{layer}| + +\vspace{5mm} + +\begin{layer}{120}{30} +\putnotec{20}{10}{abc} +\putnotes{60}{0}{\input{Fig/FigE.tex}}\end{layer} +%% "FigE.tex" is copy of "addax2.tex" + +\vspace{35mm} + +\item[注æ„]対象物ã®é…ç½®ãŒæ±ºã¾ã‚Œã°ï¼Œ\verb|\begin{layer}{120}{0}|ã¨ã™ã‚‹ã“ã¨ã§æ–¹çœ¼ãŒæ¶ˆãˆã¦æ€ã„通りã®é…ç½®ãŒå¾—られる. +\end{cmd} + +%-------------putnote+dir------------------------------- +\begin{cmd}{\bs putnote+dir}{putnote} +\itemketj{使用法}\verb|\putnote+dir{x}{y}{Char}| +\itemketj{説明}{\bs putnote}ã«ç¶šã\verb|dir| 指定ã«ã‚ˆã‚Šï¼Œæ¬¡ã®ã‚ˆã†ã«é…ç½®ã™ã‚‹ï¼Ž\\ +\tab{\bs putnotec\br{x}\br{y}\br{Char}} (x, y) ã‚’ä¸å¿ƒã«Charã‚’é…ç½®ã™ã‚‹.\\ +\tab{\bs putnotee\br{x}\br{y}\br{Char}} (x, y) ã®å³ã«Charã‚’é…ç½®ã™ã‚‹.\\ +\tab{ãã®ä»–，s,n,neãªã©ã‚‚åŒæ§˜} +\itemketj{例}\verb|\putnotese{20}{10}{\fbox{$\dfrac{1}{2}$}}|\\ +\hspace{7mm}\verb|\putnotec{40}{10}{\fbox{$\dfrac{1}{3}$}}|\\ + +\begin{layer}{60}{30} +\putnotese{20}{10}{\fbox{$\dfrac{1}{2}$}} +\putnotec{40}{10}{\fbox{$\dfrac{1}{3}$}} +\end{layer} +\vspace{30mm} +\end{cmd} + +%-------------boxframe+dir------------------------------- +\begin{cmd}{\bs boxframe+dir}{boxframe} +\itemketj{使用法}\verb|\boxframe+dir[thickness]{x}{y}{W}{H}{Strings}| +\itemketj{説明}(x, y) ã® dir æ–¹å‘ã«ï¼Œå¹…W, 高ã•H ã®çŸ©å½¢ã‚’æã，ä¸ã«æ–‡å—を入れる. \\ +\Chuu ç·šã®å¤ªã•(thickness)ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯8ã¨ã™ã‚‹. +\itemketj{例}{\bs shadebox+dir} ã«ã¾ã¨ã‚ã¦ä¾‹ç¤ºï¼Ž + +\end{cmd} + +%-------------dashboxframe+dir------------------------------- +\begin{cmd}{\bs dashboxframe+dir}{dashboxframe} +\itemketj{使用法}\verb|\dashboxframe+dir[thickness]{x}{y}{W}{H}{Strings}| +\itemketj{説明}(x, y) ã® dir æ–¹å‘ã«ï¼Œç ´ç·šã®çŸ©å½¢ã‚’æã，ä¸ã«æ–‡å—を入れる． +\itemketj{例}{\bs shadebox+dir} ã«ã¾ã¨ã‚ã¦ä¾‹ç¤ºï¼Ž +\end{cmd} + +%-------------jaggyboxframe+dir------------------------------- +\begin{cmd}{\bs jaggyboxframe+dir}{jaggyboxframe} +\itemketj{使用法}\verb|\jaggyboxframe+dir[thickness]{x}{y}{W}{H}{Strings}| +\itemketj{説明}(x, y) ã® dir æ–¹å‘ã«ï¼Œã‚®ã‚¶ã®çŸ©å½¢ã‚’æã，ä¸ã«æ–‡å—を入れる． +\itemketj{例}{\bs shadebox+dir} ã«ã¾ã¨ã‚ã¦ä¾‹ç¤ºï¼Ž +\end{cmd} + +%-------------diaboxframe+dir------------------------------- +\begin{cmd}{\bs diaboxframe+dir}{diaboxframe} +\itemketj{使用法}\verb|\diaboxframe+dir[thickness]{x}{y}{W}{H}{Strings}| +\itemketj{説明}(x, y) ã® dir æ–¹å‘ã«ï¼Œãƒ€ã‚¤ãƒ¤åž‹ã‚’連ããŸçŸ©å½¢ã‚’æã，ä¸ã«æ–‡å—を入れる． + \itemketj{例}{\bs shadebox+dir} ã«ã¾ã¨ã‚ã¦ä¾‹ç¤ºï¼Ž +\end{cmd} + +%-------------eraser+dir------------------------------- +\begin{cmd}{\bs eraser+dir}{eraser} +\itemketj{使用法}\verb|\eraser+dir[F]{x}{y}{W}{H}| +\itemketj{説明}(x, y) ã® dir æ–¹å‘ã®é•·æ–¹å½¢ã®å†…部を消ã™.\\ +\Chuu F=0 ã¨ã™ã‚‹ã¨æž ã‚’æã‹ãªã„(デフォルト㯠F=1). +\end{cmd} + +%-------------shadebox+dir------------------------------- +\begin{cmd}{\bs shadebox+dir}{shadebox} +\itemketj{使用法}\verb|\shadebox+dir[F]{x}{y}{W}{H}{C1}{C2}| +\itemketj{説明}(x, y) ã® dir æ–¹å‘ã«ï¼ŒçŸ©å½¢ã‚’æã，内部を色C1ã§å¡—ã‚‹.\\ +\Chuu F=1 ãªã‚‰æž 線を色C2ã§æã (デフォルト㯠F=0 : æž ç·šã‚’æã‹ãªã„). + +\vspace{\baselineskip} +以下ã«ï¼Œ\verb|boxframe|ç³»ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’例示ã™ã‚‹ï¼Ž\\ +\verb| \begin{layer}{160}{0}|\\ +\verb| \boxframese{000}{0}{30}{16}{boxframe}|\\ +\verb| \dashboxframese{035}{0}{30}{16}{dashboxframe}|\\ +\verb| \jaggyboxframese{070}{0}{30}{16}{jaggyboxframe}|\\ +\verb| \diaboxframese{105}{0}{30}{16}{diaboxframe}|\\ +\verb| \shadeboxse[0]{140}{0}{30}{16}{yellow}{black}|\\ +\verb| \end{layer}| + +\vspace{\baselineskip} +\begin{layer}{160}{0} +\boxframese{000}{0}{30}{16}{boxframe} +\dashboxframese{035}{0}{30}{16}{dashboxframe} +\jaggyboxframese{070}{0}{30}{16}{jaggyboxframe} +\diaboxframese{105}{0}{30}{16}{diaboxframe} +\shadeboxse[0]{140}{0}{30}{16}{yellow}{black} +\end{layer} + +\vspace{15mm} +\end{cmd} +%-------------popframe------------------------------- +\begin{cmd}{\bs popframe}{popframe} +\itemketj{使用法}\verb|\popframe[thickness]{x}{y}{ダミー色}{色s}{ダミー色}{色p}{色f}{æ–‡å—列}| +\itemketj{説明}(x, y) ã® å³ä¸‹(seæ–¹å‘)ã«ï¼Œæ–‡å—入りã®çŸ©å½¢ã‚’æã，色sã®é™°ã‚’付ã‘ã‚‹. \\ +\Chuu 色p：背景色，色fï¼šæž ã®è‰². +(ダミー色ã«ã¯é©å½“ãªè‰²ã‚’入れる)\\ +%% Ds, Dp ã¯ç©ºç™½ã§ã‚‚よã„。 +\Chuu 矩形ã®å¤§ãã•ã¯æ–‡å—列ã‹ã‚‰è‡ªå‹•è¨ˆç®—ã™ã‚‹.\\ +\Chuu ç·šã®å¤ªã•(thickness)ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯8ã¨ã™ã‚‹.\\ +\Chuu æ–‡å—列ã¯ï¼Œå¹…$\leqq$ 200mm, 高ã•$\leqq$ 100mm ã¨ã™ã‚‹ã“ã¨. +\itemketj{例}{\bs colorframe} ã«ã¾ã¨ã‚ã¦ä¾‹ç¤ºï¼Ž +\end{cmd} + +\vspace*{-5mm} +%-------------colorframe------------------------------- +\begin{cmd}{\bs colorframe}{colorframe} +\itemketj{使用法}\verb|\colorframe[thickness]{x}{y}{色p}{ダミー色}{色f}{æ–‡å—列}| +\itemketj{説明}(x, y) ã® å³ä¸‹(seæ–¹å‘)ã«ï¼Œæ–‡å—入りã®çŸ©å½¢ã‚’æã. \\ +\Chuu 色p：背景色，色fï¼šæž ã®è‰²ï¼Ž(ダミー色ã«ã¯é©å½“ãªè‰²ã‚’入れる)\\ +\Chuu 矩形ã®å¤§ãã•ã¯æ–‡å—列ã‹ã‚‰è‡ªå‹•è¨ˆç®—ã™ã‚‹.\\ +\Chuu ç·šã®å¤ªã•(thickness)ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯8ã¨ã™ã‚‹.\\ +\Chuu æ–‡å—列ã¯ï¼Œå¹…$\leqq$ 200mm, 高ã•$\leqq$ 100mm ã¨ã™ã‚‹ã“ã¨.\\ + +\itemketj{例}色 "shade'' を定義ã—ã¦ãŠã． + +%\verb|\definecolor{shade}{cmyk}{0,0,0,0.4}| $\gets$ 色``shade'' を定義.\par +\verb|\popframe[16]{40}{5}{white}{shade}{white}{cyan}{red}{\Large\tt POP frame}| \par +\verb|\colorframe[16]{90}{5}{yellow}{white}{blue}{\Large\tt COLOR frame}| \\ + +\begin{layer}{160}{0} +\definecolor{shade}{cmyk}{0,0,0,0.4}% CMYKæ–¹å¼ +% \popframe[16]{40}{5}{Ds}{shade}{Dp}{yellow}{green}{\Large\tt POP frame} + \popframe[16]{40}{5}{white}{shade}{white}{cyan}{red}{\Large\tt POP frame} +\colorframe[16]{90}{5}{yellow}{white}{blue}{\Large\tt COLOR frame} +%\colorframe[16]{90}{5}{yellow}{}{blue}{\Large\tt COLOR frame} +\end{layer} + +\vspace{25mm} +\end{cmd} + +%-------------cirscoremark------------------------------- +\begin{cmd}{\bs cirscoremark}{cirscoremark} +\itemketj{使用法}\verb|\cirscoremark[thickness]{size}| +\itemketj{説明}手書ãã®2é‡ä¸¸ã‚’出力ã™ã‚‹. +\itemketj{例}{\bs crosscoremark} ã®ã‚ã¨ã«ã¾ã¨ã‚ã¦ä¾‹ç¤ºï¼Ž +\end{cmd} + +%-------------scirscoremark------------------------------- +\begin{cmd}{\bs scirscoremark}{scirscoremark} +\itemketj{使用法}\verb|\scirscoremark[thickness]{size}| +\itemketj{説明}手書ãã®å˜ä¸¸ã‚’出力ã™ã‚‹. +\itemketj{例}{\bs crosscoremark} ã®ã‚ã¨ã«ã¾ã¨ã‚ã¦ä¾‹ç¤ºï¼Ž +\end{cmd} + +%-------------triscoremark------------------------------- +\begin{cmd}{\bs triscoremark}{triscoremark} +\itemketj{使用法}\verb|\triscoremark[thickness]{size}| +\itemketj{説明}手書ãã®ä¸‰è§’を出力ã™ã‚‹. +\itemketj{例}{\bs crosscoremark} ã®ã‚ã¨ã«ã¾ã¨ã‚ã¦ä¾‹ç¤ºï¼Ž +\end{cmd} + +%-------------crosscoremark------------------------------- +\begin{cmd}{\bs crosscoremark}{crosscoremark} +\itemketj{使用法}\verb|\crosscoremark[thickness]{size}| +\itemketj{説明}手書ãã®ãƒãƒ„を出力ã™ã‚‹. + +\begin{layer}{170}{0} +\putnotec{30}{15}{\cirscoremark{0.8}} +\putnotec{60}{15}{\scirscoremark{0.8}} +\putnotec{90}{15}{\triscoremark{0.8}} +\putnotec{120}{15}{\crosscoremark{0.8}} +\end{layer} + +\vspace{35mm} +\end{cmd} +%-------------lineseg, dashlineseg------------------------------- +\begin{cmd}{\bs lineseg, \bs dashlineseg}{lineseg} +\itemketj{使用法}\verb|\lineseg[thickness]{x}{y}{L}{|{$\theta$}\verb|}|\\ +\tab{\bs dashlineseg[thickness]\br{x}\br{y}\br{L}\br{$\theta$}} +\itemketj{説明}{\tt \bs lineseg}ã¯ï¼Œç‚¹ (x, y) ã‹ã‚‰é•·ã• L ã®ç·šåˆ†ã‚’ $\theta^\circ$ æ–¹å‘ã«æã(å˜ä½ã¯mm). \\ +\tab{\bs dashlineseg ã¯ç ´ç·šã‚’æã.}\\ +\Chuu ç·šã®å¤ªã• (thickness)ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ 12 (å˜ä½ã¯ milli inch).\\ +\Chuu x, y, $\theta$ ã¯å°æ•°ã§ã‚‚よã„. +\itemketj{例}\verb|\lineseg[16]{135}{25}{30}{25}| + +\begin{layer}{160}{0} +\lineseg[16]{60}{20}{30}{25} +%\arrowlineseg[16]{130}{50}{10}{45} +\end{layer} + +\vspace{20mm} +\end{cmd} +%%-------------dashlineseg------------------------------- +%\begin{cmd}{\bs dashlineseg}{dashlineseg} +%\itemketj{使用法}\verb|\dashlineseg[thickness]{x}{y}{L}{|{$\theta$}\verb|}| +%\itemketj{説明}点 (x, y) ã‹ã‚‰é•·ã• L ã®ç ´ç·šã‚’ $\theta^\circ$ æ–¹å‘ã«æã(å˜ä½ã¯mm). \\ +%%\itemket{Details}Unit of length L is mm.\par +%%\Ltab{18.5mm}{}The line thickness is 12 by default. Unit is milli inch\par +%%\Ltab{18.5mm}{}x, y, $\theta$ may be decimal. +%% +%\end{cmd} +%-------------arrowlineseg------------------------------- +\begin{cmd}{\bs arrowlineseg, \bs arrowhead}{arrowhead} +\itemketj{使用法}\verb|\arrowlineseg[thickness]{x}{y}{L}{|{$\theta$}\verb|}|\\ +\tab{\bs arrowhead[size]\br{x}\br{y}\br{$\theta$}} +\itemketj{説明}{\tt \bs arrowlineseg}ã¯ï¼Œç‚¹ (x, y) ã‹ã‚‰é•·ã• L ã®çŸ¢å°ã‚’ $\theta^\circ$ æ–¹å‘ã«æã(å˜ä½ã¯mm).\\ +\Chuu éƒã¯å§‹ç‚¹(x, y)ã«æã. \\ +\Chuu ç·šã®å¤ªã• (thickness)ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ 12 (å˜ä½ã¯ milli inch).\\ +\tab{\bs arrowhead ã¯éƒã ã‘ã‚’æã.}\\ +\Chuu x, y, $\theta$ ã¯å°æ•°ã§ã‚‚よã„. +\itemketj{例}\verb|\arrowlineseg[16]{60}{20}{10}{45}| + +\vspace*{-5mm} +\begin{layer}{160}{0} +%\lineseg[16]{60}{20}{30}{25} +\arrowlineseg[16]{60}{20}{10}{45} +\end{layer} + +\vspace{20mm} +\end{cmd} + +%%-------------arrowhead------------------------------- +%\begin{cmd}{\bs arrowhead}{arrowhead} +%\itemketj{使用法}\verb|\arrowhead[size]{x}{y}{|{$\theta$}\verb|}| +%\itemketj{説明}This function draws a arrowhead on the coordinates (x, y) in the direction of $\theta^\circ$ degrees. +%\itemket{Details}The line thickness is 12 by default. Unit is milli inch.\par +%\Ltab{18.5mm}{}x, y, $\theta$ may be decimal. +%\end{cmd} + +%-------------hjaggyline------------------------------- +\begin{cmd}{\bs hjaggyline, \bs hjaggylineb}{hjaggyline} +\itemketj{使用法}\verb|\hjaggyline[thickness]{x}{y}{W}|\\ +\tab{\bs hjaggylineb[thickness]\br{x}\br{y}\br{W}} +\itemketj{説明}{\tt \bs hjaggyline}ã¯ï¼Œ(x, y) ã‹ã‚‰å³ã«å¹…Wã®ã‚®ã‚¶ç·šã‚’æã. +b ã‚’ä»˜åŠ ã™ã‚‹ã¨ï¼Œç·šã®å‡ºæ–¹ãŒé€†ã«ãªã‚‹. +\end{cmd} + +%%-------------hjaggylineb------------------------------- +%\begin{cmd}{\bs hjaggylineb}{hjaggylineb} +%\itemketj{使用法}\verb|\hjaggylineb[thickness]{x}{y}{W}| +%\itemketj{説明}This function draws a jagged line of length W from the coordinates (x, y) to the right. +%\itemket{Details}This function draws a reverse jagged line against ``hjaggyline''.\par +%\end{cmd} + +%-------------hjaggyline------------------------------- +\begin{cmd}{\bs vjaggyline, \bs vjaggylineb}{vjaggyline} +\itemketj{使用法}\verb|\vjaggyline[thickness]{x}{y}{W}|\\ +\tab{\bs vjaggylineb[thickness]\br{x}\br{y}\br{W}} +\itemketj{説明}{\tt \bs vjaggyline}ã¯ï¼Œ(x, y) ã‹ã‚‰ä¸‹ã«å¹…Wã®ã‚®ã‚¶ç·šã‚’æã. +b ã‚’ä»˜åŠ ã™ã‚‹ã¨ï¼Œç·šã®å‡ºæ–¹ãŒé€†ã«ãªã‚‹. +\itemketj{例}次ã®ã‚ˆã†ã«ãªã‚‹ï¼Ž + +\begin{layer}{160}{0} +\hjaggyline{70}{10}{10} +\hjaggylineb{70}{20}{10} +\vjaggyline{100}{10}{10} +\vjaggylineb{120}{10}{10} +\end{layer} + +\verb|\hjaggyline{70}{10}{10}| \\ +\verb|\hjaggylineb{70}{20}{10}| \\ +\verb|\vjaggyline{100}{10}{10}| \\ +\verb|\vjaggylineb{120}{10}{10}| \\ + +\end{cmd} +%-------------circleline------------------------------- +\begin{cmd}{\bs circleline}{circleline} +\itemketj{使用法}\verb|\circleline{x}{y}{size}| +\itemketj{説明}(x, y) ã‚’ä¸å¿ƒã«å††ã‚’æã. +\end{cmd} + +%-------------ballonr------------------------------- +\begin{cmd}{\bs ballonr, \bs ballonl}{ballon} +\itemketj{使用法}\verb|\ballonr[thickness]{x}{y}{size}{Char}|\\ +\tab{\bs ballonl[thickness]\br{x}\br{y}\br{size}\br{Char}} +\itemketj{説明}{\tt \bs ballonr}㯠(x, y) ã‹ã‚‰å³ä¸Šã«å¹ã出ã—㨠Char ã‚’æã.\\ +\tab[0mm]{}{{\tt \bs ballonl}㯠(x, y) ã‹ã‚‰å·¦ä¸Šã«å¹ã出ã—㨠Char ã‚’æã.} +\end{cmd} + +%-------------lefthand------------------------------- +\begin{cmd}{\bs lefthand, ...}{lefthand} +\itemketj{使用法}\verb|\lefthand[thickness]{x}{y}|\\ +\tab{\bs righthand[thickness]\br{x}\br{y}}\\ +\tab{\bs leftdownhand[thickness]\br{x}\br{y}}\\ +\tab{\bs rightdownhand[thickness]\br{x}\br{y}} +\itemketj{説明}(x, y) ã«ï¼Œãã‚Œãžã‚Œã®å‘ãã§æŒ‡å…ˆã‚’æã. +\itemketj{例} {\bs ballon }ãªã©ã®ä¾‹ + +\begin{layer}{170}{0} + \ballonr{30}{35}{1}{Example1} + \ballonl{90}{30}{1}{Example2} + \lefthand{120}{25} + \righthand{140}{25} + \leftdownhand{120}{15} +\rightdownhand{140}{15} +\end{layer} +\vspace{30mm} +\end{cmd} + +\newpage + +%-==Command List ======================== +\hypertarget{functionlist}{} +\section{コマンド一覧} +%\hyperlink{index}{To index} + +\begin{tabbing} +12345678901234567890\=\kill + +{\bf ketpicã®ãƒžã‚¯ãƒ} \> \\ +\hyperlink{arrow of i or d}{\bs arrow, ...} \> 増減矢å°\\ +\hyperlink{cautionmark}{\bs cautionmark} \> 注æ„書ãã®ãƒžãƒ¼ã‚¯\\ +\hyperlink{circlemark}{\bs circlemark} \> 円（サイズ指定）\\ +\hyperlink{circleshade}{\bs circleshade} \> ä¸å¡—ã‚Šã®å††ï¼ˆã‚µã‚¤ã‚ºæŒ‡å®šï¼‰\\ +\hyperlink{tab}{\bs Ctab} \> ä¸å¤®å¯„ã›ã‚¿ãƒ–\\ +\hyperlink{tab}{\bs Ltab} \> 左寄ã›ã‚¿ãƒ–\\ +\hyperlink{tab}{\bs Rtab} \> å³å¯„ã›ã‚¿ãƒ–\\ +\hyperlink{dangerbendmark}{\bs dangerbendmark} \> ブルãƒã‚ã®ã€Œå±é™ºãªæ›²ãŒã‚Šè§’ã€\\ +\hyperlink{ketcalc}{\bs ketcalcdepth} \> æ–‡å—列ã®æ·±ã•ã‚’計る\\ +\hyperlink{ketcalc}{\bs ketcalcheight} \> æ–‡å—列ã®é«˜ã•ã‚’計る\\ +\hyperlink{ketcalc}{\bs ketcalcwidth} \> æ–‡å—列ã®å¹…を計る\\ +\hyperlink{ketcalcwh}{\bs ketcalcwh} \> æ–‡å—列ã®å¹…ã¨é«˜ã•ã‚’計る\\ +\hyperlink{ketcindy}{\bs ketcindy} \> ãƒã‚´ \ketcindy\ を出力\\ +\hyperlink{ketpic}{\bs ketpic} \> ãƒã‚´ \ketpic\ を出力\\ + +{\bf ketlayerã®ãƒžã‚¯ãƒ} \> \\ +\hyperlink{arrowhead}{\bs arrowhead} \> 角度を指定ã—ã¦éƒã ã‘æã\\ +\hyperlink{arrowhead}{\bs arrowlineseg} \> 角度を指定ã—ãŸçŸ¢å°\\ +\hyperlink{ballon}{\bs ballonl, \bs ballonr} \> å¹ã出ã—ã¨æ–‡å—列\\ +\hyperlink{boxframe}{\bs boxframe+dir} \> æ–‡å—入りã®çŸ©å½¢\\ +\hyperlink{circleline}{\bs circleline} \> レイヤー環境ã§ã®å††\\ +\hyperlink{cirscoremark}{\bs cirscoremark} \> 手書ãã®2é‡ä¸¸\\ +\hyperlink{colorframe}{\bs colorframe} \> æ–‡å—列ã«åˆã‚ã›ãŸã‚µã‚¤ã‚ºã®çŸ©å½¢ï¼ˆè‰²æŒ‡å®šï¼‰\\ +\hyperlink{crosscoremark}{\bs crosscoremark} \> 手書ãã®ãƒãƒ„\\ +\hyperlink{dashboxframe}{\bs dashboxframe+dir} \> æ–‡å—入りã®çŸ©å½¢ï¼ˆç ´ç·šï¼‰\\ +\hyperlink{diaboxframe}{\bs diaboxframe+dir} \> æ–‡å—入りã®çŸ©å½¢ï¼ˆãƒ€ã‚¤ãƒ¤åž‹ã‚’連ããŸï¼‰\\ +\hyperlink{eraser}{\bs eraser+dir} \> 長方形ã®å†…部を消ã™\\ +\hyperlink{hjaggyline}{\bs hjaggyline(b)} \> æ°´å¹³ãªã‚®ã‚¶ç·šåˆ†\\ +\hyperlink{jaggyboxframe}{\bs jaggyboxframe+dir} \> æ–‡å—入りã®çŸ©å½¢ï¼ˆã‚®ã‚¶ç·šï¼‰\\ +\hyperlink{lefthand}{\bs lefthand, ...} \> 指先（4ã¤ï¼‰\\ +\hyperlink{lineseg}{\bs lineseg, \bs dashlineseg} \> 角度を指定ã—ãŸç·šåˆ†ã¨ç ´ç·š\\ +\hyperlink{popframe}{\bs popframe} \> æ–‡å—列ã«åˆã‚ã›ãŸã‚µã‚¤ã‚ºã®çŸ©å½¢ï¼ˆè‰²æŒ‡å®šï¼Œå½±ä»˜ã）\\ +\hyperlink{putnote}{\bs putnote+dir} \> æ–‡å—・図・表ã®é…ç½®\\ +\hyperlink{scirscoremark}{\bs scirscoremark} \> 手書ãã®å˜ä¸¸\\ +\hyperlink{shadebox}{\bs shadebox+dir} \> æ–‡å—入りã®çŸ©å½¢ï¼ˆä¸å¡—り）\\ +\hyperlink{triscoremark}{\bs triscoremark} \> 手書ãã®ä¸‰è§’\\ +\hyperlink{vjaggyline}{\bs vjaggyline(b)} \> åž‚ç›´ãªã‚®ã‚¶ç·šåˆ†\\ +%\hyperlink{ballonr}{\bs ballonr} \> draws a ballon and puts strings inside\\ +%\hyperlink{dashlineseg}{\bs dashlineseg} \> draws a dashed line segment specified angle\\ +%\hyperlink{hjaggylineb}{\bs hjaggylineb} \> draws a horizontal jaggy line segment against \bs hjaggyline\\ +%\hyperlink{leftdownhand}{\bs leftdownhand} \> draws fingertip\\ +%\hyperlink{lineseg}{\bs dashlineseg} \> draws a dashed line segment specified angle\\ +%\hyperlink{rightdownhand}{\bs rightdownhand} \> draws fingertip\\ +%\hyperlink{righthand}{\bs righthand} \> draws fingertip\\ +%\hyperlink{vjaggylineb}{\bs vjaggylineb} \> draws a vertical jaggy line segment against \bs vjaggyline\\ + + +\end{tabbing} + +\end{document}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/referenceR4_2_2_ltd.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/referenceR4_2_2_ltd.tex deleted file mode 100644 index f77574b88f4..00000000000 --- a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/referenceR4_2_2_ltd.tex +++ /dev/null @@ -1,1422 +0,0 @@ -\documentclass[a4j]{jarticle} - -\usepackage{ketpic,ketlayer} -\usepackage{amsmath,amssymb} -\usepackage{enumerate} -%\usepackage{emathE} - -\newcommand{\tab}[2][12zw]{% -\noindent -\hspace*{2zw}\Ltab{#1 }{#2}% -} - -\newcommand{\chuu}[1][15zw]{% -\Ltab{#1}{}※ % -} - -\newcommand{\rei}[1][18zw]{% -\Rtab{#1}{例)\ }}% - -\newcommand{\reicr}[1][18zw]{% -\Rtab{#1}{　 }}% - -\newcommand{\prompt}[1][+]{% -$>$ \verb#1} - -\newcommand{\dq}[1]{ -{\unitlength$<$- 0.0012in% -\begin{picture}% -(26.30,94.50)(2.40,0.00)% -\special{pn 8}% -\special{pa 3 -113}\special{pa 6 -78}\special{pa 12 -78}\special{pa 15 -113}\special{pa 3 -113}% -\special{sh 1}\special{ip}% -\special{pa 22 -113}\special{pa 25 -78}\special{pa 31 -78}\special{pa 34 -113}\special{pa 22 -113}% -\special{sh 1}\special{ip}% -\end{picture}}% -\,#1\,% -{\unitlength$<$- 0.0012in% -\begin{picture}% -(26.30,94.50)(2.40,0.00)% -\special{pn 8}% -\special{pa 3 -113}\special{pa 6 -78}\special{pa 12 -78}\special{pa 15 -113}\special{pa 3 -113}% -\special{sh 1}\special{ip}% -\special{pa 22 -113}\special{pa 25 -78}\special{pa 31 -78}\special{pa 34 -113}\special{pa 22 -113}% -\special{sh 1}\special{ip}% -\end{picture}}% -} - -\newcommand{\bq}{ -\hspace*{-2pt}% -{\unitlength=1pt% -\begin{picture}% -(1.80,7.00)(-0.90,0.00)% -\special{pn 8}% -% -\special{pn 12}% -\special{pa -11 -94}\special{pa 11 -72}% -\special{fp}% -\special{pn 8}% -\end{picture}}% -} - -\newenvironment{mini}[1]% -{\begin{minipage}[t]{#1}}% -{\end{minipage}% -} - - -%\enumSep{\narrowenumsep} - -\setmargin{15}{15}{15}{20} - -\begin{document} - -\begin{flushright} -2013å¹´10月6æ—¥ -\end{flushright} - -\begin{center} -{\bf \huge \ketpic\ v4.2.2 ltd コマンド一覧}\vspace{3mm}\\ -{\bf \huge for R} -\end{center} - -\hfill -\begin{minipage}{4cm} -\Ltab{1.5cm}{PD}プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿\\ -\end{minipage} - -%\vspace*{-2zw} - -\section{R ã«ã¤ã„ã¦ã®æ³¨æ„} - -\begin{enumerate}[1.] - -\item KETpicã®èªè¾¼ã¿ã«ã¯æ¬¡ã‚’実行ã™ã‚‹ï¼Ž\\ -\hspace*{2zw}load("C:/work/ketpic.Rdata")　（C:/work/ã¯ä½œæ¥ãƒ•ã‚©ãƒ«ãƒ€å）\\\hspace*{-12zw}\chuu ディレクトリã®å¤‰æ›´ã¯ setwd("c:/work") - -\item æ–‡å—列ã¯ã€€ "（ダブル）ã§å›²ã‚€\\ -\chuu æ–‡å—列ã®ä¸ã«æ–‡å—列を入れるã¨ã㯠' 㨠" を入れåã«ä½¿ã†ï¼Ž - -\item 関数ãªã©ã‚’引数ã¨ã™ã‚‹ã¨ãã¯ï¼Œæ–‡å—列ã¨ã™ã‚‹ï¼Ž\\ -\hspace*{2zw}例）G$<$- Plotdata( "x\verb|^|2", "x=c(0,1)") -%\hspace*{2zw}注）プãƒã‚°ãƒ©ãƒŸãƒ³ã‚°ã§ã¯æ–‡å—列を実行ã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰ evstr, execstr ãŒé‡è¦ã§ã‚る． -%\item -%数リスト，文å—列，行列ãŒæ··ã–ã£ãŸãƒ‡ãƒ¼ã‚¿ï¼ˆåŸºæœ¬ãƒ‡ãƒ¼ã‚¿ï¼‰ã®ãƒªã‚¹ãƒˆã¯ã§ããªã„． -%Mixã¯æ··åˆãƒªã‚¹ãƒˆã‚’扱ã†ï¼Ž -%\hspace*{3zw}基本データ$\longrightarrow$æ··åˆåˆ—$\longrightarrow$æ··åˆãƒªã‚¹ãƒˆ% -%$\longrightarrow$æ··åˆãƒªã‚¹ãƒˆ$\longrightarrow\cdots$ - -\item \verb|\|（ãƒãƒƒã‚¯ã‚¹ãƒ©ãƒƒã‚·ãƒ¥ï¼‰ã‚’出力ã™ã‚‹ã«ã¯ï¼’ã¤ä¸¦ã¹ã¦ã‹ã． - - -\item 注釈㯠\verb|#| - -%\item 実行ã®ä¸æ–ã¯ã€€abort - - -%\item 数値微分㯠derivative, 数値ç©åˆ†ã¯ integrate（ã¾ãŸã¯intg） - -%\chuu Derivative, Integrate å‚ç…§ - -\item æ•°ã¨æ–‡å—列ã®å¤‰æ›\\ -\hspace*{2zw}as.character(æ•°)\\ -\hspace*{2zw}as.numeric(æ–‡å—列)\\ -\hspace*{2zw}eval(parse(text=æ–‡å—列)))\\ -\hspace*{2zw}sprintf(書å¼,\ æ•°) 書å¼ä»˜ãæ–‡å—列 - -\item ç•°ãªã‚‹åž‹ã®ãƒ‡ãƒ¼ã‚¿ã‹ã‚‰ãƒªã‚¹ãƒˆã‚’作るã«ã¯listを用ã„る．\\ -\hspace*{2zw}作æˆã€€ã€€ã€€L\verb|<-| list(... , ... );\\ -\hspace*{2zw}å–り出ã—　A\verb|<-| L[[i]]\\ -\hspace*{2zw}部分リスト　L[V]\ (V ã¯ãƒ™ã‚¯ãƒˆãƒ«)\\ -\hspace*{2zw}ç½®ãæ›ãˆã€€L[[i]]\verb|<-| ...\\ -%\hspace*{2zw}消去　　　L[[i]]<- NULL\\ -\hspace*{2zw}é•·ã•ã€€ã€€ã€€length(L)\\ -\hspace*{2zw}è¿½åŠ ã€€ã€€ã€€L\verb|<-| c(L1, L2)\\ -\hspace*{2zw}çµåˆã€€ã€€ã€€c(L1,L2,...)\\ -\hspace*{2zw}空リスト　list()\\ -\hspace*{2zw}タイプを見る　is.list(L)（論ç†å€¤ï¼‰ã¾ãŸã¯ mode(L) - -\end{enumerate} - -\section{Rã®ãŸã‚ã®è¿½åŠ コマンド} - -\tab{Member(D, L)}DãŒLã®è¦ç´ ã§ã‚ã‚Œã°true，ãã†ã§ãªã‘ã‚Œã°falseã‚’è¿”ã™ï¼Ž\\ -\chuu Lã¯ãƒ™ã‚¯ãƒˆãƒ«ã¾ãŸã¯ list - -\tab{Flattenlist(L)}Lを平準化ã—ã¦å˜å±¤ã®ãƒªã‚¹ãƒˆã‚’作る - -%\tab{Mix(D1, D2, $\cdots$)}FD列，MS，MLã‹ã‚‰ï¼ˆï¼‘段上ã®ï¼‰MSã¾ãŸã¯MLã‚’ä½œæˆ - -%\tab{Mixadd(L, D)}L（MSã¾ãŸã¯ML)ã«Dã‚’è¦ç´ ã¨ã—ã¦åŠ ãˆã‚‹ - -\tab{Mixdisp({\it list})}listã®è¦ç´ ã‚’ç”»é¢ã«ç°¡æ˜“表示 - -%\tab{Mixjoin(L1, L2, ...)}è¦ç´ ã‚’åˆä½µã—ãŸlistを作る\\ -%\rei L1$<$- list(G1,G2,3); L2$<$- list(G3, "a")\\ -%\reicr L$<$- Mixjoin(L1,L2, c(3,6))\\ -%\reicr \hspace{2cm}Lã¯G1, G2, 3, G3, "a", c(3, 6)ã®list\\ -%\chuu \verb|c() , list()| ã¯ç„¡è¦–ã•ã‚Œã‚‹ - -%\tab{MixL(D1,D2, $\cdots$)}MS, MLã‹ã‚‰ï¼ˆï¼‘段上ã®ï¼‰MLã‚’ä½œæˆ - -%\tab{Mixlength(L)}L（MSã¾ãŸã¯ML)ã®è¦ç´ ã®å€‹æ•° - -%\tab{Mixop(N, Data)}Dataã®N番目ã®è¦ç´ （Dataã¯MS, ML) - -%\tab{MixS(D1,D2, $\cdots$)}基本データ列ã‹ã‚‰MSã‚’ä½œæˆ - -%\tab{Mixsub（範囲，L)}Lã®ç¯„囲（リスト）ã®è¦ç´ ã‹ã‚‰ãªã‚‹éƒ¨åˆ†MSã¾ãŸã¯ML\\ -%\rei S$<$- Mixsub( 2; 5, L); - -%\tab{Mixtype(Data)}DataãŒåŸºæœ¬ãƒ‡ãƒ¼ã‚¿ãªã‚‰ï¼‘，MSãªã‚‰ï¼’，MLãªã‚‰ï¼“を返㙠- -\tab{Op(N,\ Data)}Dataã®N番目ã®è¦ç´ （Dataã¯æ–‡å—列，ベクトル，list） - -\tab{Assign(å¼, 変数å, 値, ・・・)}\\ -\tab{}変数å（文å—列）ã«å€¤ã‚’割り当ã¦ãŸæ–‡å—列を返ã™\\ -\chuu 値ã¯ï¼Œæ•°ï¼Œæ–‡å—列，数行列，Scilablist\\ -\rei A$<$- 0.4; B$<$- c(2,1)\\ -\reicr Fn$<$- Assign("A*x\^{}2+B(1)*y\^{}2","A", A, "B", B) - -\tab{Assignset(変数å, 値, ・・・)}% -割り当ã¦å¤‰æ•°ãƒ†ãƒ¼ãƒ–ルをセットã™ã‚‹\\ -\rei Assignset("A", 0.4, "B", c(2,1), "C", list(...), "D", "string") - -%\tab{Assign(å¼)}å¼æ–‡å—列ã®å¤‰æ•°ã«å‰²ã‚Šå½“ã¦å¤‰æ•°ãƒªã‚¹ãƒˆã‚’割り当ã¦ãŸæ–‡å—列を返ã™\\ -%\rei Assign("A", 0.4, "B", c(2,1))\\ -%\reicr Fn$<$- Assign("A*x\^{}2+B(1)*y\^{}2") - -\tab{Assignset("?"+変数å)}変数åã®å€¤ã‚’è¿”ã™\\ -\rei Assignset("?A") - -\tab{Assignset()}割り当ã¦å¤‰æ•°ãƒ†ãƒ¼ãƒ–ルをåˆæœŸåŒ–\\ -%\rei Assign("A", 0.4, "B", c(2,1))\\ -%\reicr Assign() - -\tab{Assignadd(変数å, 値, ・・・)}\\ -\tab{}割り当ã¦å¤‰æ•°ãƒ†ãƒ¼ãƒ–ルã«è¿½åŠ ã™ã‚‹\\ -\rei Assignadd("C", 0.4, "D", c(2,1)) - -\tab{Assignrep(変数å, 値, ・・・)}\\ -\tab{}割り当ã¦å¤‰æ•°ãƒ†ãƒ¼ãƒ–ルを置ãæ›ãˆã‚‹\\ -\rei Assignrep("C", 0.8) - -\tab{Prime(æ–‡å—列)}æ–‡å—列ã®æœ€å¾Œã« " ã‚’ã¤ã‘ã‚‹\\ -\rei Prime("A")\\ -\rei Prime() （" ã ã‘を出力）\\ -\chuu Assign("A\bq ") ã¨ã—ã¦ã‚‚よã„． - - -%\tab{Strop(N,\ æ–‡å—列)}æ–‡å—列ã®N番目ã®æ–‡å— - -%\tab{Subs(代入å¼,\ 有ç†å¼)}有ç†å¼ã«ä»£å…¥å¼ã§ä¸Žãˆã‚‰ã‚Œã‚‹æ•°å€¤ã‚’代入ã—ãŸå€¤ã‚’è¿”ã™\\ -%\rei X$<$- poly(0,"X")\\ -%\reicr F$<$- X\verb|^|2+3\verb|*|X+3\\ -%\reicr V$<$- Subs("X$<$- 5",\ F) - -\tab{XMIN, XMAX, YMIN, YMAX}\\ -\tab{}ウィンドウ範囲 -（デフォルト$-5\leqq x\leqq 5,\ -5\leqq y\leqq 5$） - -\tab{Ptne(),Ptnw(),Ptsw(),Ptse()}\\ -\tab{}ãƒ•ãƒ¬ãƒ¼ãƒ æž ã®å„点 - -\tab{ThisVersion}Ketpicã®ãƒãƒ¼ã‚¸ãƒ§ãƒ³ - -\tab{Fracform(x\{, 分æ¯ã®æœ€å¤§å€¤\})}\\ -\tab{}xã«è¿‘ã„分数（文å—列）を返ã™\\ -\chuu 分æ¯ã®æœ€å¤§å€¤ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯100000\\\ -\rei Fracform(c(2.36)) - -\tab{Dotprod(v1,v2)}å†…ç© - -\tab{Crossprod(v1,v2)}å¤–ç© - -\tab{Derivative(関数文å—列，変数å，\{値ベクトル\}}\\ -\tab{}関数ã®å¾®åˆ†ä¿‚数を求ã‚る．\\ -\rei Derivative("x\verb|^|2+y", c("x","y"),c(2, 3))\\ -%\rei Assign("A", 3)\\ -%\reicr Derivative(Assign("x\verb|^|2+A*y"), "c(x,y)", c(2, 3), 2)\\ -%\chuu 変数ã®ç•ªå·ã‚’指定ã—ãªã„ã¨ãã¯ï¼Œåˆ—ベクトルã§è¿”ã™ï¼Ž - -\tab{Integrate(関数文å—列，変数文å—列，ç©åˆ†åŒºé–“（数リスト）)}\\ -\tab{}関数ã®å®šç©åˆ†ã‚’求ã‚る．\\ -\rei Integrate("sin(x)","x",c(0,pi))\\ -\chuu 区間（リスト）ã¯ç©åˆ†ã‚’分ã‘ã¦è¨ˆç®—ã™ã‚‹ã¨ãã«æŒ‡å®š\\ -%\reicr Fn(x)","if x>0,Y$<$- 1,else,Y$<$- -1,end")|\\ -\reicr \verb|Integrate("Fn(x)","x",c(-2,0,3))|\\ - -%\tab{Thetadegree()}平行投影ã§$\theta$（度） - -%\tab{Phidegree()}平行投影ã§$\varphi$（度） - -%\vspace{-2zw} - -\section{è¨å®šã‚³ãƒžãƒ³ãƒ‰} - -\subsection{基本} - -\tab{Setwindow(c(xmin, xmax), c(ymin, ymax))}\\ -\tab{}ウィンドウ範囲をè¨å®š\\ -\rei Setwindow(c(-pi, pi),\ $c(-1.5,1.5)$\,)\\ -\chuu XMIN , XMAX , YMIN , YMAX ã§å€¤ã‚’得られる． - -\tab{Setscaling({\it ratio})}\\ -\tab{}縦ã®æ¨ªã«å¯¾ã™ã‚‹æ¯”ã‚’{\it ratio}ã«è¨å®šï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ 1）\\ -\rei Setscaling(2)\\ -\chuu ウィンドウも連動 - -\tab{Setax(線種, 横軸å, ä½ç½®, 縦軸å, ä½ç½®, 原点å, ä½ç½®)}\\ -\tab{}座標軸をè¨å®šï¼ˆå¼•æ•° 7 個）\\ -\rei Setax("a", "t", "s", "u", "w", "O", "nw")\\ -\chuu 線種ã¯ã€€d : line , a : arrow\\ -\chuu arrowã®ã¨ã　"a0.5" ã®ã‚ˆã†ã«ï¼ŒçŸ¢å°ã®å¤§ãã•ã‚’指定ã§ãる．\\ -\chuu ""ã¨ã™ã‚‹ã¨ï¼Œç¾åœ¨ã®è¨å®šã‚’変更ã—ãªã„．\\ -\chuu 以é™ãŒ "" ã®ã¨ãçœç•¥ã§ãる．ã¾ãŸé€”ä¸ã‹ã‚‰ã‚‚指定ã§ãã‚‹\\ -\rei Setax("a"\,)\\ -\rei Setax(6, "O", "se"\,)　（6番目ã‹ã‚‰æŒ‡å®šï¼‰\\ -\chuu ä½ç½®ã¯"n", "s", "e", "w", "ne", "nw", "se", "sw"\\ -\chuu "s2w3"ã®ã‚ˆã†ã«å¾®å°ç§»å‹•é‡ã‚’ä»˜åŠ ã—ã¦ã‚ˆã„．\\ -\chuu 空引数ã®ã¨ã，ç¾åœ¨ã®è¨å®šå€¤ã‚’表示 - -\tab{Setorigin(\,点\,)}座標軸ã®åŽŸç‚¹ã‚’指定（デフォルトã¯$(0,\ 0)$）\\ -\chuu 空引数ã®ã¨ã，ç¾åœ¨ã®è¨å®šå€¤ã‚’表示 - -\tab{Setpen( å€çŽ‡ )}ç·šã®å¤ªã•ã‚’指定（標準ã‹ã‚‰ã®å€çŽ‡ã§ï¼‰\\ -\rei Setpen(1.5)\\ -\chuu 空引数ã®ã¨ã，ç¾åœ¨ã®è¨å®šå€¤ã‚’表示 - -\tab{Setpt( å€çŽ‡ )}Drwptã®ç‚¹ã®å¤§ãã•ã‚’指定（標準ã‹ã‚‰ã®å€çŽ‡ã§ï¼‰\\ -\chuu 空引数ã®ã¨ã，ç¾åœ¨ã®è¨å®šå€¤ã‚’表示 - -\tab{Setmarklen( å€çŽ‡ )}目盛りã®å¤§ãã•ã‚’指定（標準ã‹ã‚‰ã®å€çŽ‡ã§ï¼‰\\ -\chuu 目盛りã®å¤§ãã•ã¯å¾®å°ç§»å‹•é‡ã®å˜ä½ã¨ã—ã¦ã‚‚用ã„られる．\\ -\chuu 空引数ã®ã¨ã，ç¾åœ¨ã®è¨å®šå€¤ã‚’表示 - -\tab{Setunitlen("å˜ä½é•·")}å˜ä½é•·ã‚’指定ã™ã‚‹\\ -\chuu Beginpicture("")ã¨ã™ã‚‹ã¨æŒ‡å®šã•ã‚ŒãŸå˜ä½é•·ãŒä½¿ã‚れる.\\ -\chuu 空引数ã®ã¨ã，ç¾åœ¨ã®è¨å®šå€¤ã‚’表示 -%\tab(13zw){resetunitlen()}コード書ã出ã—を終ãˆã‚‹ - -\tab{Setarrow(éƒã®å¤§ãã• \{, é–‹ã角 \{, éƒä½ç½® \{, 太ã•\}\}\} \{, å½¢ã¨ä½ç½®\})}\\ -\tab{}矢å°ã®å½¢çŠ¶ã‚’指定ã™ã‚‹\\ -\rei Setarrow(0.5, 1, 1, 0.7, "tf"\,)\\ -\chuu デフォルト　大ãã•ï¼‘ ，角度 18°，ä½ç½®ã¯çµ‚点\\ -\chuu 5以下ã®é–‹ã角を指定ã—ãŸã¨ãã¯ï¼Œ18°ã‹ã‚‰ã®å€çŽ‡ã¨ã™ã‚‹\\ -\chuu 形状\ "l" ：ライン　"f" ：塗り（デフォルト）\\ -\chuu ä½ç½®å¾®èª¿æ•´\ "c"：ä¸å¤®ã€€"b"：下　"t"：トップ(〃）\\ -\chuu 空引数ã®ã¨ã，ç¾åœ¨ã®è¨å®šå€¤ã‚’表示 - -\tab{Ketinit(\,)}定数をデフォルトã«åˆæœŸåŒ– - -\subsection{空間（平行投影）} - -\tab{Setangle(\,$\theta, \varphi$\,)}角度（°）を指定\\ -\chuu デフォルト値㯠$\theta$<$- 60,\ \varphi$<$- 30$\\ -\chuu 空引数ã®ã¨ã，ç¾åœ¨ã®è¨å®šå€¤ã‚’表示 - -\tab{Initangle(\,)}デフォルト値ã«æˆ»ã™ - -\subsection{空間（一点投影）} - -\tab{Setpers(\,注視点，視点\,)}一点投影ã®FocusPoint,\ EyePoint を指定\\ -\chuu デフォルト値㯠FocusPoint$<$- c(0,0,0),\ EyePoint$<$- c(5,5,5) - -\tab{Setpers()}ç¾åœ¨ã®FocusPoint,\ EyePoint を表示\\ -\chuu 空引数ã®ã¨ã，ç¾åœ¨ã®è¨å®šå€¤ã‚’表示 - -\tab{SetstereoL(\,$R,\ \theta,\ \varphi,\ \varDelta$\,)}% -原点を注視点ã¨ã—ã¦ï¼Œç©ºé–“極座標ã«ã‚ˆã‚Šå®šã¾ã‚‹å·¦ç›®ã®ä½ç½®ã‚’\\ -\tab{}視点ã«ã‚»ãƒƒãƒˆï¼ˆ$\varDelta$ã¯ç›®ã®é–“隔） - -\tab{SetstereoR(\,$R,\ \theta,\ \varphi,\ \varDelta$\,)}% -原点を注視点ã¨ã—ã¦ï¼Œç©ºé–“極座標ã«ã‚ˆã‚Šå®šã¾ã‚‹å³ç›®ã®ä½ç½®ã‚’\\ -\tab{}視点ã«ã‚»ãƒƒãƒˆï¼ˆ$\varDelta$ã¯ç›®ã®é–“隔） - -\section{プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ä½œæˆ} - -\subsection{å¹³é¢å›³å½¢} - -\tab{Plotdata(関数,範囲,オプション)}\\ -\tab{}関数ã®ã‚°ãƒ©ãƒ•ã®PDを作æˆ\\ -\rei G1$<$- Plotdata(\,"sin(x)",\ "x= c($-2$*pi,\ 2*pi)")\\ -\chuu 範囲を "x" ã¨ã™ã‚‹ã¨ï¼ŒXMINã‹ã‚‰XMAXã«ã¨ã‚‹ï¼Ž\\ -\chuu x 以外ã®å¤‰æ•°ã‚’使ã†ã¨ãã¯é–¢æ•°ã«ä½¿ã‚ã‚Œã¦ã„ãªã„ã‹ã‚’注æ„．\\ -\chuu オプション\\ -\hspace*{16zw}\tab[6zw]{"N=$\cdots$"}点ã®å€‹æ•°\\ -\hspace*{16zw}\tab[6zw]{"E=c($\cdots$)"}除外点ã®ãƒªã‚¹ãƒˆ\\ -\hspace*{16zw}\tab[6zw]{"E=関数"}関数ã®ï¼ç‚¹ã¯é™¤å¤–\\ -\hspace*{16zw}\tab[6zw]{"D=$\cdots$"}連続é™ç•Œå€¤ï¼ˆã“れ以上離れãŸã‚‰çµã°ãªã„）\\ -\chuu デフォルトã¯N=50, D=Inf \\ -%\chuu 関数㯠function ã§ä¸Žãˆã¦ã‚‚よã„．\\ -\rei G1$<$- Plotdata("1/x", "x","N=200", "E=c(0)", "D=1")\\ -\rei G2$<$- Plotdata("1/((x-1)*(x+2))", "x", "E=(x-1)*(x+2)")\\ - -\tab{Listplot(点ã®ãƒ™ã‚¯ãƒˆãƒ«ã¾ãŸã¯åˆ—ã¾ãŸã¯list)}\\ -\tab{}折れ線ã®PDを作æˆ. ãŸã ã—ã€ç‚¹ã¯ç·šåˆ†ã§çµã¶. \\ -\rei G2$<$- Listplot(c(c(3,2),c(5,4)))\\ -\rei G2$<$- Listplot(c(3,2),c(5,4)) - -\tab{Lineplot(点A, 点B\{ , é•·ã•ï¼ŒåŠç›´ç·š\})}\\ -\tab{}線分ABを延長ã—ãŸç·šåˆ†ã®PDã‚’ä½œæˆ \\ -\rei G3$<$- Lineplot(c(3,2),c(5,4))\\ -\rei G4$<$- Lineplot(A, B, "+")\\ -\reicr åŠç›´ç·šAB（Bå´ã«å»¶é•·ï¼‰\\ -\chuu é•·ã•ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ç‰‡å´100 - -\tab{Paramplot(パラメトリック関数,範囲,オプション)}\\ -\tab{}パラメトリック関数ã®ã‚°ãƒ©ãƒ•ã®PDを作æˆ\\ -\chuu t 以外ã®å¤‰æ•°ã‚’使ã†ã¨ãã¯é–¢æ•°ã«ä½¿ã‚ã‚Œã¦ã„ãªã„ã‹ã‚’注æ„\\ -%\chuu 関数㯠function ã§ä¸Žãˆã¦ã‚‚よã„．\\ -\rei G3$<$- Paramplot(\,"c(cos(t),\ sin(t))",\ "t=c(0, 2*\%pi)")\\ -%\rei G4$<$- Paramplot(Fnx, Fny, "t=c(0, 1)") - -\tab{Rotatedata(PDã¾ãŸã¯ç‚¹,角度\{,ä¸å¿ƒ\})}\\ -\tab{}å¹³é¢ã®PDを回転ã—ãŸPDã‚’ä½œæˆ \\ -\rei G4$<$- Rotatedata(G1,pi/4) - -\tab{Translatedata(PD,\ xæ–¹å‘ yæ–¹å‘)}\\ -\tab{}PDを平行移動ã—ãŸPDã‚’ä½œæˆ \\ -\rei G5$<$- Translatedata(\,G1,\ 3,\ $-1$\,) - -\tab{Scaledata(PD, xæ–¹å‘, yæ–¹å‘\{,ä¸å¿ƒ\})}\\ -\tab{}PDを拡大(縮å°)ã—ãŸPDã‚’ä½œæˆ \\ -\rei G6$<$- Scaledata(\,G1,\ 2,\ 1/3\,) - -\tab{Reflectdata(PD,点)}点対称移動ã—ãŸPDを作æˆ\\ -\tab{Reflectdata(PD, c(\,点1,点2\,))}\\ -\tab{}線対称移動ã—ãŸPDを作æˆ\\ -\rei G7$<$- Reflectdata(\,G1,\ c(0,0)\,)\\ -\rei G8$<$- Reflectdata(\,G1,\ c(\,c(0,0),\ c(0,1)\,)\,) - -\tab{Pointdata(PD,\ $\cdots$)}PDã®ç¯€ç‚¹ã®listを作æˆ\\ -\rei G9=Pointdata(G1)\\ -\chuu Drwpt(G9)ãªã©ã§ï¼Œç‚¹ã®ãƒ—ãƒãƒƒãƒˆãŒã§ãる． - -\tab[21zw]{Circledata(ä¸å¿ƒ,\ åŠå¾„\ \{,\ オプション\}\})}円ã®PDを作æˆ\\ -\rei G10$<$- Circledata(\,c(3,1),\ 2\,) \\ -\chuu オプション\\ -\hspace*{16zw}\tab[5zw]{"R=..."}$\theta$ã®ç¯„囲\\ -\hspace*{16zw}\tab[5zw]{"N=..."}点ã®å€‹æ•°\\ -\rei G10a$<$- Circledata(\,c(3,1),\ 2,\ "R=c(0,\ pi/2)"\,)\\ -\rei G10b$<$- Circledata(\,c(3,1),\ 2,\ "N=100"\,) - -\tab{\,Framedata(P,\ dx\{,\ dy\})\,}% -点Pã‚’ä¸å¿ƒã«$\pm$dx,\ $\pm$dyã®çŸ©å½¢ï¼ˆdyã‚’çœç•¥ã™ã‚‹ã¨dy$<$- dx）\\ -\rei G3$<$- Framedata(c(3,\ 1),\ 0.5\,) - -\tab[12zw]{\,Framedata(${\rm c}(x_1,\ x_2),\ {\rm c}(y_1,\ y_2)$)\,\\}% -\tab{}$x_1 \leqq x \leqq x_2,\ y_1 \leqq y \leqq y_2$ã®çŸ©å½¢ã®PDを作æˆï¼ˆå³ä¸Šã‹ã‚‰å時計）\\ -\chuu 引数ãŒç©ºã®ã¨ã，Setwindowã§æŒ‡å®šã—ãŸæž \\ -\rei G1$<$- Framedata(${\rm c}(-2,\ 3)$,\ ${\rm c}(1,\ 4)$\,) \\ -\rei G2$<$- Framedata() - -\tab{Hatchdata( パターン文å—(list)\{, 開始点\}, (é–‰)曲線ã®åˆ—\{,kaku\{,haba\}\,\}\,)}\\ -\tab{}パターンã¨ä¸€è‡´ã™ã‚‹é ˜åŸŸã‚’斜線塗りã™ã‚‹PDを作æˆ\\ -\rei G1$<$- Hatchdata(list("io"),\ list(g1,g2),\ list(g3)\,)\\ -\mbox{}\hfill（i : 内部，o: 外部）\\ -\chuu 開始点ãŒæŒ‡å®šã•ã‚ŒãŸã¨ã\\ -\hfill（仮想的ã«ï¼‰ãã®ç‚¹ã‚’通る斜線ã‹ã‚‰æã始ã‚ã‚‹\\ -%\chuu パターンãŒãƒªã‚¹ãƒˆã®ã¨ã，ã©ã‚Œã‹ã¨ä¸€è‡´ã™ã‚‹é ˜åŸŸã‚’斜線塗り\\ -\chuu% -\begin{mini}{23zw} -kakuã¯æ–œç·šã®å‚¾ã(def=45)，habaã¯é–“隔（def=1） -\end{mini}\vspace{1mm}\\ -\rei G2$<$- Hatchdata(\,list("ii"),\ O,\ list(G1),\ $-45$,\ 1.5\,)\\ -\chuu 曲線リスト内ã®PDã¯éš£æŽ¥ã®é †ã«æŒ‡å®š\\ -\chuu é–‰ã˜ã¦ã„ãªã„ã¨ã\\ -\hspace*{18zw}(1)æ–¹å‘ "s","n","w","e" を指定ã™ã‚‹\\ -\hspace*{18zw}(2)çª“æž ã¨ã¡ã‚‡ã†ã©2点ã§äº¤ã‚ã‚‹å ´åˆã€é ˜åŸŸã®ç‚¹ã‚’指定\\ -\hspace*{18zw}(3)指定ã—ãªã‘ã‚Œã°ç«¯ç‚¹ã‚’ç›´ç·šã§çµã¶.\\ -\rei G3$<$- Hatchdata(list("ii),\ list(g1,"s"),\ list(g2,\ c(3,0))\,) - -\tab{Hatchdata( é ˜åŸŸã®ç‚¹ï¼‰\{, 開始点\}, (é–‰)曲線listã®åˆ—\{,kaku\{,haba\}\,\}\,)}\\ -\tab{}点（ã®ã©ã‚Œã‹ï¼‰ãŒå«ã¾ã‚Œã‚‹é ˜åŸŸã‚’斜線塗り\\ -\rei F4$<$- Hatchdata(list(A,B,C),\ \ list(G1),\ list(G2,G3)\,)\\ -\hspace*{4zw}\chuu % -\begin{mini}{23zw} -包å«ãƒ‘ターンãŒç‚¹A, B, Cã®ã©ã‚Œã‹ã¨ä¸€è‡´ã™ã‚‹é ˜åŸŸã‚’æ–œç·šå¡—ã‚Šï¼ˆé ˜åŸŸã¯éš£æŽ¥ã™ã‚‹ã‚‚ã®ã¨ã™ã‚‹ï¼‰ -\end{mini}\vspace{2mm} - -%\tab{enclosing( P, PDリスト )}PD列ã‹ã‚‰Pを囲む閉曲線ã¨ãªã‚‹éƒ¨åˆ†æ›²ç·šã®PD列を作æˆ\\ -%\rei G1$<$- enclosing(\,c(1,0),\ c(g1,\ g2,\ invert(g3))\,)\\ -%\chuu PD列ã¯éš£æŽ¥é †ã«æŒ‡å®šã™ã‚‹ï¼ˆå‘ããŒä¸€è‡´ã™ã‚‹ã‚ˆã†ã«ã™ã‚‹ï¼‰ - -%\tab{enclosing( n, PDリスト )}% -%PD列ã‹ã‚‰ã§ãる閉曲線ã®ã†ã¡n番目ã®PD列を作æˆ\\ -%\rei G2$<$- enclosing(\,1,\ c(g1,\,g2,\,invert(g3))\,)\\ -%\chuu 0を指定ã™ã‚‹ã¨ï¼Œå…¨ã¦ã®é–‰æ›²ç·šã®ãƒªã‚¹ãƒˆã‚’è¿”ã™ï¼Ž - -\tab{Enclosing( PDリスト\{, 始点ã®è¿‘ãã®ç‚¹\} )}\\ -\tab{}PD列ã®ç›´è¿‘ã®äº¤ç‚¹ã‚’çµã‚“ã§é–‰æ›²ç·šã‚’作æˆ\\ -\rei G2$<$- Enclosing(list(G1,\,invert(G2),\,G3),\,c(2,1)\,)\\ -\tab[14zw]{}G1㨠(最後ã®)G3ã®äº¤ç‚¹ã®ã†ã¡ï¼Œc(2,1)ã«è¿‘ã„点ã‹ã‚‰å§‹ã‚ã‚‹\\ -\chuu 交点ãŒï¼‘個ã®å ´åˆã¯ï¼Œç‚¹ã‚’çœç•¥ã—ã¦ã‚ˆã„． - -\tab{Dotfilldata( パターン文å—列（リスト）\{, é–‹ 始点\}, -(é–‰)曲線PDリストã®åˆ—\{,濃ã•\})}\\ -\tab{}パターンã¨ä¸€è‡´ã™ã‚‹é ˜åŸŸã‚’点æã™ã‚‹PDを作æˆ\\ -\rei Fd$<$- Dotfilldata("ii",list(G1),list(G2),0.7)\\ -\chuu 濃ã•$d$ã¯ã€€$0< d \leqq 1$（デフォルトã¯$0.5$）\\ -\chuu 書ã出ã—ã¯ï¼ŒDrwptを用ã„る． - -\tab{Arrowdata}矢å°ã®PDを作æˆï¼ˆArrowlineå‚照）\\ -\chuu ã‚„ã˜ã‚Šã¯å¡—ã‚Šã¤ã¶ã•ãšï¼Œç·šãƒ‡ãƒ¼ã‚¿ã®ã¿ - -\tab{Arrowheaddata}ã‚„ã˜ã‚Šã ã‘ã®PDを作æˆï¼ˆArrowheadå‚照） - -\tab[20zw]{Bowdata(\,$\mbox{点A},\ \mbox{点B}$\{,\ 曲ãŒã‚Š\{,\ 切り\}\,\}\,)}\\ -\tab{}弓形ã®PDを作æˆ\\ -\chuu 曲ãŒã‚Šï¼šå¼§ã®æ›²ãŒã‚Šï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯1）\\ -\chuu 切り：ä¸å¤®ã«å…¥ã‚Œã‚‹åˆ‡ã‚Šã®é•·ã•ï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯0）\\ -\chuu 点Aã‹ã‚‰Bã«å時計ã¾ã‚ã‚Šã«å¼§ã‚’ã‹ã\\ -\rei G$<$- Bowdata(\,c(2,\ 1),\ c(3,\ 4),\ 0.8,\ 0.5\,) - -%\tab{Bowmiddle(\,$\mbox{点A},\ \mbox{点B}$\{,\ 曲ãŒã‚Š\})}\\ -%\tab{}弓形ã®ä¸ç‚¹ã¨è§’ã®listを返㙠- -\tab{Bowmiddle(\,弧データ\ )}弓形ã®ä¸ç‚¹ã‚’返㙠- -\tab{Splinedata(点データ\{, オプション\}\})}\\ -\tab{}spline曲線ã®PDを作æˆ\\ -%\chuu ファイルã¯ï¼Œspace, comma, tab 区切りã®textファイル\\ -%\chuu 開始ä½ç½®ï¼šãƒ•ã‚¡ã‚¤ãƒ«ã®èªè¾¼ã¿é–‹å§‹è¡Œã¨åˆ—．defaultã¯c(2,\ 1)\\ -\chuu 点データã¯ãƒªã‚¹ãƒˆã¾ãŸã¯PD\\ -\chuu オプション：\\ -\hspace*{18zw}"N$<$- 点ã®å€‹æ•°" （デフォルトã¯50）\\ -\hspace*{18zw}"C" （閉曲線ã§ã‚¹ãƒ ーズã«ã¤ãªã）\\ -%\rei Fs$<$- Splinedata("c:/data.txt",\ c(2,4),\ "N$<$- 100")\\ -\rei Fs$<$- Splinedata(PL, "N$<$- 200", "C")（PLã¯ç‚¹ãƒ‡ãƒ¼ã‚¿ï¼‰ - -%\tab{Skeleton2data(\,å¹³é¢æ›²ç·šlist1，平é¢æ›²ç·šlist2\{,大ãã•% -%\{,\ é è¿‘ã®é–¾å€¤\}\}\,)}\\ -%\tab{}list2ã§éš ã•ã‚Œã‚‹list1ã®ã‚¹ã‚±ãƒ«ãƒˆãƒ³ãƒ‡ãƒ¼ã‚¿ã‚’ä½œæˆ - -\tab{Anglemark(A, B, C \{, サイズ \})}\\ -\tab{}$\angle \mathrm{ABC}$ã®é–“ã®è§’度記å·ã‚’作æˆ\\ -\chuu BAã‹ã‚‰BCã¸å時計回りã«æã\\ -\chuu サイズã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯0.5 - -\tab{Paramark(A, B, C \{, サイズ\})}\\ -\tab{}$\angle \mathrm{ABC}$ã®é–“ã®è§’度記å·ï¼ˆå¹³è¡Œå››è¾ºå½¢ï¼‰ã‚’ä½œæˆ - -%\tab{Sumfun(\{ å®šæ•°é …, \}ä¸€èˆ¬é …, æ·»å—ã®ãƒªã‚¹ãƒˆï¼Œå¤‰æ•°ã®ç¯„囲，\{ 点ã®å€‹æ•° \})}\\ -%\tab{} $\displaystyle c+\sum_{k= a}^{b}f(x,\ k)$ã®PDを作æˆï¼ˆ{\bf Scilabã«è¿½åŠ }）\\ -%\chuu å®šæ•°é …ãŒ0ã®ã¨ãã¯çœç•¥ã§ãる．\\ -%\chuu 点ã®å€‹æ•°ã¯ "N$<$- 個数" ã§æŒ‡å®šï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯çµ‚ã‚ã‚Šã¾ã§ï¼‰\\ -%\rei G1$<$- Sumfun(1, "x\verb|^|n/factorial(n)", "n$<$- 1:5", "x$<$- c($-2,\ 2)$") - -%\tab{Implicitplot(関数，x範囲，y範囲\{, 分割数\})}\\ -%\tab{Implicitplot(Zvalue, Xvalue, Yvalue) }\\ -%\tab{}陰関数ã®PDを作æˆ\\ -%\chuu 分割数ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ã€€c(50, 50)\\ -%\rei \verb|G1$<$- Implicitplot("x^2+y^2-1","x$<$- c(-1,1)","y$<$- c(-1,1)")| - -%\tab{Deqplot(方程å¼ï¼Œx範囲，x0，y0\{, 分割数\})}\\ -%\tab{}微分方程å¼ã®è§£æ›²ç·šã®PDを作æˆ\\ -%\chuu $y"$㯠y\bq ã¨æ›¸ã．\\ -%\chuu xã®ç¯„囲をçœç•¥ã™ã‚‹ã¨ï¼Œæ画範囲全体\\ -%\rei \verb|G1$<$- Deqplot("y|\bq \verb|$<$- y*(1-y)","x",0,0.2,"N$<$- 100")|\\ -%\rei \verb|G2$<$- Deqplot"("y|\bq\bq \verb|$<$- -0.4*y`-3*y","x$<$- c(0,5)",0,c(0,2))| -%\rei \verb|G3$<$- Deqplot("c(x,y)|\bq \verb|$<$- c(x*(1-y),0.3*y*(x-1))",...|\\ -%\reicr \verb| "t$<$- c(0,20)",0,c(1,0.5),"N$<$- 200")| - -% - -\subsection{空間図形} - -\tab{Spaceline(\,空間点ã®ãƒ™ã‚¯ãƒˆãƒ«ã¾ãŸã¯list\,)}\\ -\tab{}空間点をçµã¶ç·šåˆ†ã®PD3dを作æˆ\\ -\rei G1$<$- Spaceline(\,c(c(3,\ 2,\ 1),\ c(5,\ 6,\ 6))\,) - -\tab{Spacecurve(\,関数,範囲,オプション\,)}\\ -\tab{}空間曲線ã®PD3dを作æˆ\\ -\rei G2$<$- Spacecurve( "c(cos(t),\ sin(t),\ t)",\ "t$<$- c(0, 2*\%pi)" ) - -\tab{Rotate3data(PD3, v1, v2\ \{, ä¸å¿ƒ\})}\\ -\tab{}PD3ã‚’v1ãŒv2ã«é‡ãªã‚‹ã‚ˆã†ã«å›žè»¢ã—ãŸPD3dを作æˆ\\ -\rei G2$<$- Rotate3data(\,G1, c(1, 0, 0), c(1, 2, 3)\,)\\ -\chuu PD3ã¯listã§ã‚‚よã„（ã“ã®å ´åˆã¯listã‚’è¿”ã™ï¼‰ - -\tab{Rotate3datac(PD3, 回転軸, 角度\ \{, ä¸å¿ƒ\})}\\ -\tab{}PD3を回転軸ã®ã¾ã‚ã‚Šã«å›žè»¢ã—ãŸPD3dを作æˆ\\ -\rei G2$<$- Rotate3datac(\,G1, c(0, 0, 1), \%pi/4\,)\\ -\chuu PD3ã¯listã§ã‚‚よã„（ã“ã®å ´åˆã¯listã‚’è¿”ã™ï¼‰ - -\tab{Translata3data(PD3, 移動ベクトルv)}\\ -\tab{}PD3ã‚’vã ã‘移動ã—ãŸPD3dを作æˆ\\ -\rei G2$<$- Translate3datac(\,G1, c(3, 2, 1)\,)\\ -\rei G2$<$- Translate3datac(\,G1, 3, 2, 1\,)\\ -\chuu PD3ã¯listã§ã‚‚よã„（ã“ã®å ´åˆã¯listã‚’è¿”ã™ï¼‰ - -\tab{Xyzax3data(\,$x$範囲, $y$範囲, $z$範囲\,)}\\ -\tab{}座標軸ã®PD3dã®listã‚’ä½œæˆ - -\tab{Projpara(\,PD3列ã¾ãŸã¯list\,)}\\ -\tab{}空間曲線ã®å¹³è¡ŒæŠ•å½±ã«ã‚ˆã‚‹å°„å½±PD( 2d )ã‚’ä½œæˆ - -\tab{Projpers(\,PD3列ã¾ãŸã¯list\,)}\\ -\tab{}空間曲線ã®ä¸€ç‚¹æŠ•å½±ã«ã‚ˆã‚‹å°„å½±PD( 2d )ã‚’ä½œæˆ - -\tab{Skeletonparadata(\,空間曲線list1，空間曲線list2\{,大ãã•% -\{,\ é è¿‘ã®é–¾å€¤\}\}\,)}\\ -\tab{}\begin{mini}{30zw} -平行投影ã§list1ã‹ã‚‰list2ã«ã‚ˆã‚Šéš ã•ã‚Œã‚‹éƒ¨åˆ†ã‚’除ã„ãŸæ®‹ã‚Šã®å¹³é¢PD列 -（スケルトンデータ）を作æˆ\vspace*{2mm} -\end{mini} - -\tab{Skeletonpara3data(\,空間曲線list1，空間曲線list2\{,大ãã•% -\{,\ é è¿‘ã®é–¾å€¤\}\}\,)}\\ -\tab{}\begin{mini}{30zw} -平行投影ã§list1ã‹ã‚‰list2ã«ã‚ˆã‚Šéš ã•ã‚Œã‚‹éƒ¨åˆ†ã‚’除ã„ãŸæ®‹ã‚Šã®ç©ºé–“PD列 -（スケルトンデータ）を作æˆ\vspace*{2mm} -\end{mini} - -\tab{Skeletonpersdata(\,空間曲線list1，空間曲線list2\{,大ãã•% -\{,\ é è¿‘ã®é–¾å€¤\}\}\,)}\\ -\tab{}一点投影ã§list2ã«ã‚ˆã‚‹list1ã®ã‚¹ã‚±ãƒ«ãƒˆãƒ³ãƒ‡ãƒ¼ã‚¿(2D)ã‚’ä½œæˆ - -\tab{Skeletonpers3data(\,空間曲線list1，空間曲線list2\{,大ãã•% -\{,\ é è¿‘ã®é–¾å€¤\}\}\,)}\\ -\tab{}一点投影ã§list2ã«ã‚ˆã‚‹list1ã®ã‚¹ã‚±ãƒ«ãƒˆãƒ³ãƒ‡ãƒ¼ã‚¿(3D)ã‚’ä½œæˆ - -\tab{Embed(\,å¹³é¢æ›²ç·šï¼ˆãƒªã‚¹ãƒˆï¼‰ï¼ŒåŸ‹ã‚è¾¼ã¿é–¢æ•°\,)}\\ -\tab{}埋ã‚è¾¼ã¿é–¢æ•°ã«ã‚ˆã‚Šç©ºé–“曲線を作æˆ\\ -\rei \verb|deff("Out$<$- Fun(x,y)","Out$<$- c(x,y,0)")|\\ -\reicr \verb|G1$<$- Listplot(c(0,0),c(3,2))|\\ -\reicr \verb|G1_3d$<$- Embed(G1,Fun)| - -% -\subsection{多é¢ä½“ã®æç”»} - -\tab{Phcutdata(é ‚ç‚¹ãƒªã‚¹ãƒˆVL, é¢æ·»å—リストFL, å¹³é¢ãƒ‡ãƒ¼ã‚¿PlaneD)}\\ -\tab{}多é¢ä½“ã‚’å¹³é¢ã§åˆ‡ã£ãŸã¨ãã®å¤šé¢ä½“ã¨åˆ‡æ–é¢ã®3dリストを作æˆ\\ -\chuu PlaneD（平é¢ï¼‰ã®å½¢å¼\\% -\hspace*{18zw}\begin{mini}{20zw} -"a*x+b*y+c*z-d",\ "a*x+b*y+c*z$<$- d"\\ -\hspace*{2zw}（x,\ y,\ zをクリアã—ã¦ãŠã）\\ -ã¾ãŸã¯ã€€"c(a, b, c, d)"\\ -\hspace*{4zw} "list(a, b, c, P)"（点Pを通る） -\end{mini}\vspace{2mm}\\ -\chuu 切æ–é¢ã¯ãƒªã‚¹ãƒˆã®æœ€å¾Œã®è¦ç´ \\ -\rei VL$<$- list(c(0, 0, 0), c(1, 0, 0), c(0, 1, 0), c(0, 0, 1))\\ -\reicr FL$<$- list(c(1, 2, 3), c(1, 2, 4), c(1, 3, 4), c(2, 3, 4))\\ -\reicr PL$<$- Phcutdata(VL, FL, "c(1, 1, 1, 3)")\\ -\reicr Windisp(PL) - -\tab{Phcutoffdata(VL, FL, PlaneD, 符å·)}\\ -\tab{}PlaneDã§åˆ‡æ–ã•ã‚ŒãŸéƒ¨åˆ†å¤šé¢ä½“ã®3dデータリストを作æˆ\\ -\chuu 符å·ã¯ã€€\verb|"+"| ã¾ãŸã¯ \verb|"-"|\\ -\rei PL$<$- Phpcutoffdata(VL, FL, "x+y+(z-1/2)", "+")\\ -\chuu PhVertexL(), PhFaceL()ã§é ‚点，é¢ãƒªã‚¹ãƒˆã‚’å–り出ã›ã‚‹ï¼Ž - -\tab{Phparadata(VL, FL)}陰線処ç†ã‚’ã—ãŸå¤šé¢ä½“ã®PD3d（平行投影）を作æˆ\\ -\tab{Phpersdata(VL, FL)}陰線処ç†ã‚’ã—ãŸå¤šé¢ä½“ã®PD3d（一点投影）を作æˆ\\ -\chuu PhHiddenData()ã§é™°ç·šã®PDã‚’å–り出ã›ã‚‹ï¼Ž - -\tab{Phsparadata(é¢datalist)}複数ã®å¤šé¢ä½“ã®PD3d（平行投影）を作æˆï¼ˆé™°ç·šå‡¦ç†ï¼‰\\ -\tab{Phspersdata(é¢datalists)}複数多é¢ä½“ã®PD3d（一点投影）を作æˆï¼ˆé™°ç·šå‡¦ç†ï¼‰\\ -\chuu é¢datalistã¯list(VL, FL)，ã¾ãŸã¯ï¼Œãã®list\\ -\chuu é¢ã‚’点ã§ç›´æŽ¥æŒ‡å®šã™ã‚‹ã¨ãã«ã¯ VL$<$- list()ã¨ã™ã‚‹ï¼Ž\\ -\rei Fd$<$- list(list(),list(c(3,2,1),c(0,0,0),c(c(1,2,4)))\\ -\chuu PhHiddenData()ã§é™°ç·šã®PDã‚’å–り出ã›ã‚‹ï¼Ž - -\tab{Phsrawparadata(é¢datalist), Phsrawpersdata(é¢datalist)}\\ -\tab{}複数ã®å¤šé¢ä½“ã®PD3dを作æˆï¼ˆé™°ç·šå‡¦ç†ã‚’ã—ãªã„） - -\tab{Facesdata(é¢datalist \{ ,è¿½åŠ æ›²ç·šPDlist \}, å°„å½±ã®ã‚¿ã‚¤ãƒ—)}\\ -\tab{}é¢ã®è¾ºï¼ˆã¨è¿½åŠ 曲線）をé¢ã«ã‚ˆã‚Šé™°ç·šå‡¦ç†\\ -\chuu å°„å½±ã®ã‚¿ã‚¤ãƒ—㯠"para"，"pers"，"rawpara’，"rawpers" - -\tab{Faceremovaldata(é¢datalist，曲線PDlist, å°„å½±ã®ã‚¿ã‚¤ãƒ—)}\\ -\tab{}曲線をé¢ã«ã‚ˆã‚Šé™°ç·šå‡¦ç† - -\section{データã®æ›¸ã出ã—} - -\subsection{基本コマンド} - -\tab{Windisp( PD列ã¾ãŸã¯list )}\\ -\tab{}ç”»é¢ã‚’é–‹ã，PD列を表示（確èªã®ãŸã‚）\\ -\rei Windisp(\,G1,\ G2\,)\\ -\rei Windisp(list(G1,G2)) - -\tab{WindispT( PD列ã¾ãŸã¯list \{, オプション\} )}\\ -\tab{}ç”»é¢ã‚’é–‹ã，PD列を表示（確èªã®ãŸã‚）図をé‡ãã¦è¡¨ç¤ºã™ã‚‹ï¼Žäº‹å‰ã«WindispT()\\ -\rei WindispT(\,G1,\ G2\,color="red",width=1,new=TRUE\,)\\ -\rei WindispT(list(col="blue",border="white",G1),new=TRUE) \\ -\hspace*{18zw}(閉曲線G1ã‚’å¡—ã‚‹)\\ -\rei WindispT(list(col="blue",border="white",density=200,G1,G2),new=TRUE)\\ -\hspace*{18zw} (閉曲線G1,G2ã‚’å¡—ã‚‹.densityã¯å†…å´ã‚’線分ã§å¡—ã‚Šã¤ã¶ã™å ´åˆã®ãƒ‘ラメータ) - -\tab{Openfile('ファイルå'\,\{ソースファイルå\}) }\\ -\tab{}書ã出ã—用ファイルを開ã（デフォルトã¯ç”»é¢ï¼‰\\ -\rei setwd("C:/TeXF") \\ -\reicr Openfile(\, "fig.tex"\,)\\ -\reicr Openfile(\,'fig.tex',\,'fig.r'\,)\\ -\chuu ソースãŒåŒä¸€ãƒ•ã‚©ãƒ«ãƒ€ã«ã‚ã‚‹ã¨ãã¯ï¼Œç¬¬ï¼’引数ã¯ä¸è¦ - -\tab{Beginpicture("å˜ä½é•·"\,)}picture 環境を始ã‚る．\\ -\rei Beginpicture("1cm"\,)\\ -\rei Beginpicture("2*10/12cm"\,) - -\tab{Endpicture(\,1\,)}picture 環境を終ãˆã‚‹ï¼ˆåº§æ¨™è»¸ã‚’ã‹ã）\\ -\tab{Endpicture(\,0\,)}picture 環境を終ãˆã‚‹ï¼ˆåº§æ¨™è»¸ã‚’ã‹ã‹ãªã„） - -\tab{Closefile(\,)\,}書ã出ã—用ファイルを閉ã˜ã‚‹ï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆï¼ç”»é¢ã«æˆ»ã™ï¼‰ - -\subsection{プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿} - -\tab{Drwline(\,PD列ã¾ãŸã¯list\{, 太ã•\}\,)}\\ -\tab{}PD列ã¾ãŸã¯ã‚’実線ã§æ›¸ã出ã™\\ -\rei Drwline(\,G1,\ G2\,)\\ -\rei Drwline(\,G3,\ 0.5\.) - -\tab{Dashline(\,PD列ã¾ãŸã¯list\{, len \{, gap\}\,\}\,)}\\ -\tab{}PD列ã¾ãŸã¯listã‚’ç ´ç·šã§æ›¸ã出ã™ï¼ˆå®Ÿç·šéƒ¨ã‹ã‚‰å§‹ã¾ã‚‹ï¼‰\\ -\rei Dashline(\,G1,\ G2\,)\\ -\rei Dashline(\,G1,\ 1.5\,)\hfill（実線部，ギャップã¨ã‚‚ 1.5å€ï¼‰\\ -\rei Dashline(\,G1,\ G2,\ 1.5,\ 0.5\,)\\ -\hfill（実線部 1.5å€ï¼Œã‚®ãƒ£ãƒƒãƒ— 0.5å€ï¼‰ - -\tab{Invdashline(\,PD列ã¾ãŸã¯list\{, len\{, gap\}\,\}\ )}\\ -\tab{}ç ´ç·šã‚’æ›¸ã出ã™ï¼ˆã‚®ãƒ£ãƒƒãƒ—ã‹ã‚‰å§‹ã¾ã‚‹ï¼‰ - -\tab{Dottedline(\,PD列ã¾ãŸã¯list\{, len \{, size\}\,\}\,)}\\ -\tab{}点線を書ã出ã™\\ -\rei Dottedline(\,G1,\ G2\,)\\ -\rei Dottedline(\,G1,\ 1.5\,)　（間隔 1.5å€ï¼‰\\ -\rei Dottedline(\,G1,\ G2,\ 1,\ 0.5\,)（点ã®å¤§ãã• 0.5å€ï¼‰ - -\tab{Arrowline(\,A, B \{, éƒã®å¤§ãã• \{, é–‹ã角 \{, éƒä½ç½® \{, 太ã•\}\,\}\,\} \{, \\ -\hspace*{20zw}å½¢ã¨ä½ç½® -,\ "Cut=切り込ã¿çŽ‡"\}\,\}\,)}\\ - -\tab{}点Aã‹ã‚‰Bã«å‘ã‘ã¦çŸ¢å°ã‚’ã‹ãコードを書ã出ã™\\ -\rei Arrowline(\,A,\ B\,)\\ -\rei Arrowline(\,A,\ B,\ 2,\ 10,"l"\,)\\ -\rei Arrowline(\,A,\ B,\ 1,\ 18,\ 0.5,\ 2,"lc"\,)\\ -\hspace*{6zw}\chuu ABã®ä¸ç‚¹ã®ä½ç½®ã«éƒã‚’ã‹ã - - -\tab{Arrowhead(\,ä½ç½®,\ æ–¹å‘\{,\ 大ãã•\{,\ 角度\},\ 形状ã¨ä½ç½®,\ "Cut=切り込ã¿çŽ‡"\}\,)} - -\tab{}éƒã ã‘を書ã出ã™\\ -\rei Arrowhead(\,c(0,\ 0),\ c(2,\ 1),\ "cl"\,) - -\tab{Arrowhead(\,P,\ PD\{,\ 大ãã•\{,\ 角度\},\ 形状ã¨ä½ç½®\}\,)}\\ -\tab{}PD上ã®ç‚¹Pã«çŸ¢å°ã‚’æã\\ -\rei Arrowhead(\,c(1,\ 1),\ Plotdata("x\^{}2","x"\,))\\ -\chuu éƒã¯ãƒ©ã‚¤ãƒ³ - -\tab{Drwpt(点ã®åˆ— \{, å¡—ã‚Š\})}点を書ã出ã™ï¼ˆå¤§ãã•ã¯ Setptã§æŒ‡å®šï¼Œå¡—ã‚Šã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯1）\\ -\rei Drwpt(\,c(2,\ 3),\ c(5,\ 7)\,) - -\tab{Drwxy(\,)}座標軸を書ã出㙠- -\tab{Htickmark( 座標, æ–¹å‘, æ•°å¼ , $\cdots$ )}\\ -\tab{}横軸上ã«ç›®ç››ã‚Šã‚’ã¤ã‘る（方å‘ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯"s"\,） - -\tab{Vtickmark( 座標, æ–¹å‘, æ•°å¼ , $\cdots$ )}\\ -\tab{}縦軸上ã«ç›®ç››ã‚Šã‚’ã¤ã‘る（方å‘ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯"w"\,）\\ -\rei Htickmark(\,$-1$,"$-1$",\ 1,"1",\ pi,"$\backslash$pi"\,)\\ -\rei Vtickmark(\ $-1$,"e","$-1$",\ 1,"ne","1"\,)\\ -\rei Htickmark(c(2,1),\ "a"\,)\\ -\chuu æ•°å¼ã‚’çœç•¥ã™ã‚‹ã¨ç›®ç››ã‚Šã ã‘ã‚’ã¤ã‘ã‚‹ - -\tab{Htickmark("m..n..r..")}横軸全体ã«ç›®ç››ã‚Šã‚’ã¤ã‘ã‚‹ - -\tab{Vtickmark("m..n..r.."\,)}縦軸全体ã«ç›®ç››ã‚Šã‚’ã¤ã‘ã‚‹\\ -\chuu m（目盛りã®é–“隔），n（文å—を何目盛り毎ã«ï¼‰ï¼Œr（数ã®å€çŽ‡ï¼‰\\ -\rei Htickmark("mn")（目盛りã¨æ•°ã‚’１間隔ã§ã¤ã‘る）\\ -\rei Vtickmark("m1n2r1.5")（1.5å€ã—ãŸæ•°ã‚’１ã¤ã¨ã³ã«ï¼‰ - -\tab[13zw]{Shade(\,PD列ã¾ãŸã¯list\{, 濃ã•\}\,)\mbox{}}\\ -\tab{}閉曲線ã®å†…部を塗りã¤ã¶ã—　濃ã•: 0 〜 1（デフォルトã¯ï¼‘） - -\subsection{æ–‡å—ã®æ›¸ã入れ} - -\tab{Letter(\ 点, æ–¹å‘, æ–‡å—列 ，・・・)}\\ -\tab{}点ã®ä½ç½®ã®ã€Œæ–¹å‘ã€ã«æ–‡å—列をã‹ã（複数å¯ï¼‰\\ -\rei Letter(\,c(4,\ 3),"n","æ–‡å—")\\ -\chuu ä½ç½®ã¯"n", "s", "e", "w", "ne", "nw", "se", "sw", "c"\\ -\chuu "n1"　nã®æ–¹å‘ã«ã•ã‚‰ã«1目盛長ã ã‘離ã™ï¼Ž\\ -\chuu "s-1w2"　sæ–¹å‘ã«-1目盛長，wæ–¹å‘ã«2目盛長ã ã‘離ã™ï¼Ž - -\tab{Expr(\ 点, æ–¹å‘, æ•°å¼ï¼Œãƒ»ãƒ»ãƒ»)}点ã®ä½ç½®ã®ã€Œæ–¹å‘ã€ã«æ•°å¼ã‚’ã‹ã（\$\$ã¯ä¸è¦ï¼‰\\ -\rei Expr(c(4, 3),"s","y=f(x)") - -\tab{Letterrot(\ 点, æ–¹å‘\ \{, 接線方å‘\ \{, 法線方å‘\}\}, æ–‡å—列)}\\ -\tab{Exprrot(\ 点, æ–¹å‘\ \{, 接線方å‘\ \{, 法線方å‘\}\}, æ–‡å—列)}\\ -\tab{}「点ã€ã®ä½ç½®ã«ã€Œæ–¹å‘ã€ã‚’å³æ¨ªæ–¹å‘ã«ã™ã‚‹ã‚ˆã†ã«æ–‡å—を傾ã‘ã¦æ›¸ã\\ -\chuu 「接線方å‘ã€ï¼Œã€Œæ³•ç·šæ–¹å‘ã€ã¯ãã‚Œãžã‚Œã®å¾®å°‘移動é‡\\ -\chuu graphicxパッケージãŒå¿…è¦ - -\tab{Texletter(\ 点(listå½¢å¼), æ–¹å‘, æ–‡å—列 ，・・・)}\\ -\tab{}点ã®ä½ç½®ã®ã€Œæ–¹å‘ã€ã«æ–‡å—列をã‹ã（複数å¯ï¼‰\\ -\rei Texletter(\,list(4,,\ "\#1"),"n","æ–‡å—")\\ -\chuu ä½ç½®ã¯"n", "s", "e", "w", "ne", "nw", "se", "sw", "c"\\ -\chuu 点ã®ä½ç½®ã¯ãƒªã‚¹ãƒˆå½¢å¼ã§ï¼Œ\TeX ã®æ–‡å—列を渡ã™ã“ã¨ãŒã§ãる． - -\tab{Openphr(\,ユーザーコマンドå\,)，Closephr(\,)}\\ -\tab{}$\backslash$defã®ã‚³ãƒžãƒ³ãƒ‰å®šç¾©\\ -\rei Openphr("$\backslash$p"\,)\\ -\reicr 　Texcom("$\backslash$begin\{array\}\{cc\}"\,)\\ -\reicr 　Texcom("5 \& 3$\backslash\backslash$"\,)\\ -\reicr 　Texcom("8 \& 7"\,)\\ -\reicr 　Texcom("$\backslash$end\{array\}\$"\,)\\ -\reicr Closephr(\,) - -\tab{Openpar(\,ユーザーコマンドå，幅 \{ ç¸¦æ–¹å‘ \}\,), Closepar(\,)}\\ -\tab{}minipage環境をå«ã‚€$\backslash$def コマンド定義\\ -\rei Openpar("$\backslash$s","5cm", "t"\,)\\ -\reicr 　Texcom("$\backslash$input\{rei\}"\,)\\ -\reicr Closepar(\,)\\ -\reicr Letter(\,c(2,\ 3),"se","$\backslash$s"\,)\\ -\chuu 縦方å‘ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ c - -\tab{Fontsize("記å·"\,)}æ–‡å—サイズã®å¤‰æ›´ã‚³ãƒžãƒ³ãƒ‰ã‚’書ã出ã™\\ -\tab[13zw]{}"n", "s", "f",% - "ss", "t", \\ -\tab[13zw]{}"la", "La", % -"LA", "h", "H"（""\,ã®ã¨ã"n"\,）\\ -\rei Fontsize("s") - -\tab{Texcom("コマンド"\,)}\TeX コマンドã®ã‚³ãƒ¼ãƒ‰ã‚’書ã出ã™\\ -\rei Texcom("$\backslash$newcounter\{tmpct\}")\\ -\chuu "newline" ã®ã¨ã，空白行を挿入 - -\tab{Bowname(å¼“å½¢ï¼Œæ•°å¼ )}弓形PDã®ä¸å¤®ã«å¼ã‚’書ã入れる\\ -\rei Gb$<$- Bowdata( A, B, 1, 0.5)\\ -\reicr Bowname(Gb, "d") - -\tab{Bownamerot( 弓形，数å¼\{，å‘ã\} )}\\ -\tab{}弓形PDã®ä¸å¤®ã«å¼ã‚’傾ã‘ã¦æ›¸ã入れる\\ -\chuu graphicxパッケージãŒå¿…è¦\\ -\chuu å‘ãã« $-1$を指定ã™ã‚‹ã¨å‘ããŒå対ã«ãªã‚‹ - -\tab{Xyzaxparaname(\,軸データ \{, å„軸ã®ãƒ©ãƒ™ãƒ«å \}\{，離れ\}\,)}\\ -\tab{}平行投影ã§ï¼Œå„軸ã®ãƒ©ãƒ™ãƒ«ã‚’書ã入れる\\ -\rei Gax$<$- Xyzax3data( "x$<$- c(0,1)", "y$<$- c(0,1)", "z$<$- c(0,2)" )\\% ($x,y,z$を書ã）\\ -\reicr Xyzaxparaname(Gax)\\% ($x,y,z$を書ã）\\ -\chuu "\yen sin x" ãªã©æ–‡å—列ã§æŒ‡å®šã™ã‚‹ã“ã¨ã‚‚ã§ãã‚‹ - -\tab{Xyzaxpersname(\,軸データ \{, å„軸ã®ãƒ©ãƒ™ãƒ«å \}\{，離れ\}\,)}\\ -\tab{}一点投影ã§ï¼Œå„軸ã®ãƒ©ãƒ™ãƒ«ã‚’書ã入れる\\ -\rei Xyzaxpersname(Gax, "", "", "w") - -%\vspace*{-0.5zw} - -%\vspace*{-2zw} - -\section{プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®æ“作} - -\subsection{å¹³é¢} - -\tab{Joingraphics(PD1,PD2,・・・\{ , "L" \})}\\ -\tab{}複数ã®PDを１ã¤ã®PDã«åˆä½µ \\ -\reicr G11$<$- Joingraphics(\,F9,\ G10\,)\\ -\chuu "L"を指定ã—ãŸã¨ãã¯ï¼Œçµæžœã‚’リストã§è¿”ã™ - -\tab{Dividegraphics(PD)}PDã‚’è¦ç´ ã«åˆ†ã‘ãŸlistを作æˆ\\ -\rei FL$<$- Dividegraphics(G1)\\ -\rei G1$<$- Op(1, FL) - -\tab{Joincrvs(\,PD列\,)}複数ã®æ›²ç·šã‚’ã¤ãªã’ãŸPDを作æˆï¼ˆ2D, 3D共通）\\ -\rei G3$<$- Joincrvs(\,G1,\ Invert(G2)\,)\\ -\chuu 曲線ã¯éš£æŽ¥ã™ã‚‹é †ç•ªã§æŒ‡å®šã™ã‚‹ - -\tab{Invert( PD )}PDã®ç‚¹åˆ—ã‚’é€†é †ã«ã—ãŸPDを作æˆï¼ˆ2D, 3D共通） - -%\tab{connectseg(PD)}細切れã®ç·šåˆ†ã‚’çµã¶PDリストを作æˆ\\ -%\hspace*{-4zw}\rei connectseg(implicitplot(x\textasciicircum 2+y\textasciicircum 2$<$- 1,x$<$- -2..2,y$<$- -2..2)) - -\tab{Partcrv(\,s1,\ s2, PD\,)}曲線PD上ã®ãƒ‘ラメータ値s1, s2を両端ã¨ã™ã‚‹PDを作æˆ\\ -\chuu s1 $>$ s2 ã®å ´åˆ\\ -\hspace*{180pt}s2ã‹ã‚‰çµ‚点，始点ã‹ã‚‰s1ã¾ã§ã®PDã®ãƒªã‚¹ãƒˆã‚’出力\\ -\hspace*{180pt}PDãŒé–‰æ›²ç·šã®ã¨ãã¯ä¸Šã®ï¼’ã¤ã®PDã‚’ã¤ãªã’る． - -\tab{Partcrv(\,A, B, PD\,)}曲線PD上ã®ç‚¹A, Bã®é–“ã®éƒ¨åˆ†æ›²ç·šã®PDを作æˆ\\ -\chuu -\begin{mini}{23zw}% -A, Bã®é †åºãŒé€†è»¢ã—ã¦ã„ã‚‹ã¨ã，Bã‹ã‚‰çµ‚点，始点ã‹ã‚‰Aã¾ã§ã®PDã®ãƒªã‚¹ãƒˆï¼ˆé–‰ã®ã¨ã接続）を出力 -\end{mini}\vspace{2mm}\\ -\rei G1$<$- Plotdata(\,"x\textasciicircum 2",\ "x=c(XMIN, XMAX)"\,)\\ -\reicr G2$<$- Partcrv(\,c(0,0),\ c(1,1),\ G1)\\ -\reicr G3$<$- Partcrv(\,c(1,1),\ c(0,0),\ G1) - - -\tab{Intersectcrvs(PD1, PD2)}２曲線PD1, PD2ã®äº¤ç‚¹ãƒªã‚¹ãƒˆã‚’作æˆ\\ -\rei G1$<$- Paramplot("c(cos(t),\ sin(t))",\ "t=c(0, 2*\%pi)")\\ -\reicr G2$<$- Plotdata("x+1/2",\ "x")\\ -\reicr PL$<$- Intersectcrvs(\,G1,G2\,) - -\tab{IntersectcrvsPp(PD1, PD2)}\\ -\tab{}２曲線PD1, PD2ã®äº¤ç‚¹ã¨ãƒ‘ラメータã®ãƒªã‚¹ãƒˆã‚’ä½œæˆ - -\tab{Intersectlines(L1, L2)}ï¼’ç›´ç·šã®äº¤ç‚¹ã‚’è¿”ã™\\ -\rei L1$<$- Lineplot(A, B)\\ -\reicr L2$<$- Lineplot(C, D)\\ -\reicr P$<$- Intersectcrvs(\,L1,L2\,) - -\tab{Nearestpt(\ P, PD\ )}点Ｐã«æœ€ã‚‚è¿‘ã„曲線PD上ã®ç‚¹ã¨ãƒ‘ラメータ値ã®ãƒªã‚¹ãƒˆã‚’è¿”ã™\\ -\rei Pp$<$- Nearestpt(\,c(0,\ 1),\ G1\,)\\ -\reicr A$<$- Op(1,Pp) - -\tab{Nearestpt(\,PD1,\ PD2\,)}% -PD1ã®ç¯€ç‚¹ã®ã†ã¡ã€PD2ã«æœ€ã‚‚è¿‘ã„点データã®ãƒªã‚¹ãƒˆã‚’è¿”ã™\\ -\rei Pp$<$- Nearestpt(\,G1,\ G2)\\ -\reicr A$<$- Op(1,Pp) - -\tab{Ptstart(\,PD\,), Ptend(\,PD)\,}曲線PDã®å§‹ç‚¹ï¼ˆçµ‚点）を返㙠- - -%\tab{Ptlistcrv(\,PD)\,}曲線PDã®ç¯€ç‚¹ãƒ‡ãƒ¼ã‚¿ãƒªã‚¹ãƒˆã‚’返㙠- -\tab{Numptcrv(\,PD)\,}曲線PDã®ç¯€ç‚¹ãƒ‡ãƒ¼ã‚¿ã®å€‹æ•°ã‚’返㙠- -\tab{Ptcrv(\,n,\,PD)\,}曲線PDã®n番目ã®ç¯€ç‚¹ã‚’返㙠- -\tab{Pointoncrv(\,s,\ PD\,)}PD上ã®ç‚¹ã§ãƒ‘ラメータ値sã‚’ã‚‚ã¤ç‚¹ã‚’è¿”ã™\\ -\rei Pointoncrv(5.3,\ G1)\\ -\reicr 　（5番目ã®ç·šåˆ†ä¸Šã§0.3ã®ä½ç½®ã«ã‚る点） - -\tab[13zw]{Paramoncrv(P \{,\ n \},\ PD)}% -PD（ã®n番目ã®ç·šåˆ†ï¼‰ä¸Šã«ã‚る点Pã®ãƒ‘ラメータを返ã™\\ -\rei Paramoncrv( c(3,\ 2), G1)\\ -\rei Paramoncrv(c(2,\ 4), 5, G1) - -%\tab[13zw]{Droppoint(PD \{, é™ç•Œå€¤\})} é™ç•Œå€¤ä»¥ä¸‹ã®éš£æŽ¥ç‚¹ã‚’è½ã¨ã—ã¦ç‚¹ã‚’å°‘ãªãã™ã‚‹ï¼Ž\\ -%\chuu é™ç•Œå€¤ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆå€¤ã¯0.02 - -%\tab{Powersum(\,係数リスト（list）, 変数値x \{, ä¸å¿ƒc\} \,)}\\ -%\tab{}$\displaystyle \sum_{k= 0}^n a_n (x-c)^k$ã®å€¤ã‚’è¿”ã™ï¼Žï¼ˆPlotdataã§ä½¿ç”¨ï¼‰\\ -%\chuu 係数リスト㯠list( æ·»å—リスト，係数リスト)ã®å½¢\\ -%\rei Tmp1$<$- 0:20\\ -%\reicr Tmp2$<$- ones(length(Tmp1))./factorial(Tmp1)\\ -%\reicr CL$<$- list(Tmp1, Tmp2)\\ -%\reicr G1$<$- Plotdata( "Powersum( CL, x)", "x") - -%\tab{FouriercoeffL(関数F, 周期T, é …æ•°N )}\\ -%\tab{}Fã®Né …ã¾ã§ã®ãƒ•ãƒ¼ãƒªã‚¨ä¿‚数リスト(list）を求ã‚る．\\ -%\chuu list( å®šæ•°é …, 余弦係数（行）, æ£å¼¦ä¿‚数（行）, 周期 ) ã®å½¢\\ -%\chuu Fouriersumã§ç”¨ã„る． - -%\tab{Fouriersum( フーリエ係数リスト, 変数値)}\\ -%\tab{}フーリエ級数ã®å€¤ã‚’è¿”ã™ï¼Žï¼ˆPlotdataã§ä½¿ç”¨ï¼‰\\ -%\rei deff( "Out$<$- Fun(x)", "Out$<$- abs(x)")\\ -%\reicr CL$<$- FouriercoeffL(Fun, 2, 30)\\ -%\reicr G2$<$- Plotdata("Fouriersum(CL, x)", "x", "N$<$- 300" ) - -\subsection{空間} - -\tab{Partcrv3(\,S1,\ S2, PD\,)}曲線PD上ã®ãƒ‘ラメータ値S1,S2を両端ã¨ã™ã‚‹PDã‚’ä½œæˆ - -\tab{Rotate3pt(点, V1, V2\{, C\})}\\ -\tab{}回転移動ã—ãŸç‚¹ã‚’è¿”ã™ï¼ˆRotate3dataå‚照） - -\tab{Rotate3ptc(点, 軸, 角度\{, C\})}\\ -\tab{}回転移動ã—ãŸç‚¹ã‚’è¿”ã™ï¼ˆRotate3dataå‚照） - - -\tab{Parapt(\,点\,)\ ,\ \ Perspt(\,点\,)}\\ -\tab{}空間ã®ç‚¹ã‚’投影ã—ãŸç‚¹ã‚’返㙠- -\tab{Zparapt(\,点\,)\ ,\ \ Zperspt(\,点\,)}\\ -\tab{}投影ã—ãŸå¹³é¢ã‚’$X,\ Y$ã¨ã—ãŸã¨ãã®$Z$座標 - -\tab{Invparapt(\,P,\ PD3d\,)\ ,\ \ Invperspt(\,P,\ PD3d\,)}\\ -\tab{}PD3dを投影ã—ãŸPD上ã®ç‚¹Pã«å¯¾å¿œã™ã‚‹PD3d上ã®ç‚¹\\ -\chuu Pd3dãŒç·šåˆ†ã®ã¨ãã¯ï¼Œå»¶é•·ç·šä¸Šã®ç‚¹ã§ã‚‚よã„． - -\tab{Invperspt(\,s,\ PD2d,\ PD3d\,)\ ,\ \ Invperspt(\,s,\ PD2d,\ PD3d\,)}\\ -\tab{}PD2d上ã®ãƒ‘ラメータ値sã®ç‚¹ã«å¯¾å¿œã™ã‚‹PD3d上ã®ç‚¹ - -\tab{Cancoordpers(\,投影座標\,)}平行投影ã§ã€ŒæŠ•å½±åº§æ¨™ã€ã§è¡¨ã•ã‚Œã‚‹ç‚¹ã®æ¨™æº–座標 - -\tab{Cancoordpers(\,投影座標\,)}一点投影ã§ã€ŒæŠ•å½±åº§æ¨™ã€ã§è¡¨ã•ã‚Œã‚‹ç‚¹ã®æ¨™æº–座標 - -\tab{Viewfrom(Vec, 曲線3D \{, éžè¡¨ç¤ºã‚ªãƒ—ション\})}\\ -\tab{}一時的ã«Vecæ–¹å‘ã‹ã‚‰ã¿ãŸå°„影データを返ã™\\ -\rei Out1$<$- Viewfrom(c(0,0,1), G1) （表示ã—ã¦ãƒ‡ãƒ¼ã‚¿ã‚’作æˆï¼‰\\ -\rei Out1$<$- Viewfrom(c(0,0,1), G1, 0) （データã®ã¿ã‚’作æˆï¼‰ - - -%\section{曲é¢ã®æç”»} - -%% -%\subsection{関数データリストã®å®šç¾©} - -%\begin{enumerate}[\hspace*{1zw}(1)] -%\item -%$z$<$- f(x,\ y)\ \ (a \leqq x \leqq b,\ c \leqq y \leqq d)$ã®ã¨ã\vspace{1mm}\\ -%\hspace*{4zw}list(\,関数,\ xã®ç¯„囲,\ yã®ç¯„囲\,)\\ -%\hspace*{-6zw}\reicr \verb|Fd$<$- list("z$<$- x^2+y","x$<$- c(-1,2)","y$<$- c(-2,1)")|\\ -%\hspace*{-4zw}\chuu 変数å x, y ãŒé–¢æ•°åã«ã‚ã‚‹æ–‡å—ã¨é‡ãªã‚‰ãªã„よã†ã«ã™ã‚‹ï¼Ž - -%\item -%$z$<$- f(x,\ y)\ ,x$<$- x(u,\ v),\ ,y$<$- y(u,\ v)\ \ (a \leqq u \leqq b,\ c \leqq v \leqq d)$ã®ã¨ã\vspace{1mm}\\ -%\hspace*{4zw}list(\,関数z,\ 関数x,\ 関数y,\ uã®ç¯„囲,\ vã®ç¯„囲\{,\ 境界ã®æŒ‡å®š\}\,)\\ -%\hspace*{-6zw}\rei \verb|Fd$<$- list("z$<$- sin(2*sqrt(abs(x^2+y^2))","x$<$- R*cos(T)",|\\ -%\hspace*{-6zw}\reicr \verb| "y$<$- R*sin(T)","R$<$- c(0,4)","T$<$- c(0,2*%pi)","e")|\\ -%\hspace*{-4zw}\chuu "e"ã¯$r$<$- 1,\ 0\leqq t\leqq 2\pi$ã§å®šã¾ã‚‹é–‰æ›²ç·šã‚’表ã™ï¼Ž\\ -%\hspace*{-4zw}\chuu sqrtã®ä¸ã¯absã‚’ã¤ã‘る（計算誤差ã®ãŸã‚）． - -%\item -%$x$<$- x(u,\ v),\ y$<$- y(u,\ v),\ z$<$- z(u,\ v)\ (a \leqq u \leqq b,\ c \leqq v \leqq d)$ã®ã¨ã\\ -%\hspace*{4zw}list(\,"p",\ 関数x\ 関数y,\ 関数z,\ Uã®ç¯„囲,\ Vã®ç¯„囲\{,\ 境界ã®æŒ‡å®š\}\,)\\ -%\hspace*{-6zw}\rei \verb|Fd$<$- list("p","x$<$- sin(U)*cos(V)","y$<$- sin(U)*sin(V)",|\\ -%\hspace*{-6zw}\reicr \verb| "z$<$- cos(U)","U$<$- c(0,%pi)","V$<$- c(0,2*%pi),"")| - -%\end{enumerate} - -%\subsection{曲é¢ã®ãƒ¯ã‚¤ãƒ¤ãƒ¼ãƒ•ãƒ¬ãƒ¼ãƒ 図} - -%\tab{Sf3data(FD,\ \{,曲線ã®ç‚¹ã®å€‹æ•°(リスト)\{,横方å‘ã®åˆ†å‰²æ•°,縦方å‘ã®åˆ†å‰²æ•°\}\})}\\ -%\tab{}曲é¢ãƒ‡ãƒ¼ã‚¿ãƒªã‚¹ãƒˆFDã®ï¼“次元ワイヤフレームデータを生æˆ\\ -%\chuu デフォルトã¯ã€€ç‚¹ã®å€‹æ•°ï¼c(50,\ 50)，分割数$<$- 25\\ -%\chuu 点ã®å€‹æ•°ã‚’æ•°nã§æŒ‡å®šã—ãŸã¨ãã¯ï¼’æ–¹å‘ã¨ã‚‚nã«ãªã‚‹\\ -%\rei Out$<$- Sf3data(Fd) - -%\tab{Sfparadata(〃)}FDã®ãƒ¯ã‚¤ãƒ¤ãƒ•ãƒ¬ãƒ¼ãƒ データを平行投影ã—ãŸï¼’次元データ - -%\tab{Sfpersdata(〃)}FDã®ãƒ¯ã‚¤ãƒ¤ãƒ•ãƒ¬ãƒ¼ãƒ データを平行投影ã—ãŸï¼’次元データ - -%\subsection{輪éƒç·šãƒ‡ãƒ¼ã‚¿ã®ä½œæˆ} - -%\tab{Sfbdparadata(関数データ\{,å„æ–¹å‘ã®åˆ†å‰²æ•°,é™ç•Œå€¤1,é™ç•Œå€¤2\})}\\ -%\tab{Sfbdpersdata(関数データ\{,å„æ–¹å‘ã®åˆ†å‰²æ•°,é™ç•Œå€¤1,é™ç•Œå€¤2\})} - -%\noindent -%\hspace*{3zw}\Ltab{10zw}{å„æ–¹å‘ã®åˆ†å‰²æ•°}曲線，陰関数ã®ã‚°ãƒªãƒƒãƒ‰æ•°\\ -%\hspace*{3zw}\Ltab{14zw}{}デフォルトã¯50\\ -%\hspace*{3zw}\Ltab{10zw}{}リストã‹å˜ç‹¬ã®æ•°ã§ä¸Žãˆã‚‹\\ -%\hspace*{3zw}\Ltab{10zw}{é™ç•Œå€¤1}åŒä¸€ç‚¹ã¨è¦‹ãªã™é™ç•Œï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯0.05）\\ -%\hspace*{3zw}\Ltab{10zw}{é™ç•Œå€¤2}交点ã®ä½™è£•å¹…（デフォルトã¯0.2） - -% -%\rei \verb|Out1$<$- Sfbdparadata(Fd,c(50,50))|\\ -%\reicr \verb| Windisp(Projpara(Out1))| - -%\noindent -%\chuu 曲é¢ä¸Šã®ï¼“次元データã¨ã—ã¦å¾—られる．\\ -%\chuu BorderHiddenData()㧠-%é™°ç·šã®ï¼“次元データãŒå¾—られる．\\ -%\chuu CuspData()ã§è¼ªéƒç·šã®ï¼“次元データ㌠-%得られる．\\ -%\chuu CuspPt()ã§cusp点ã®ï¼’次元データ㌠-%得られる．\\ -%\chuu BorderPt()ã§è¼ªéƒç·šã®äº¤ç‚¹ã®ï¼’次元データ㌠-%得られる． - -%\subsection{ワイヤーデータã®ä½œæˆ} - -%\tab{Wireparadata(輪éƒã®ãƒªã‚¹ãƒˆ,関数データ,横ã®ç·šæ•°,縦ã®ç·šæ•°\{.分割数, é™ç•Œå€¤1.é™ç•Œå€¤2\})} - -%\tab{Wirepersdata(輪éƒ,関数データ \{ ,横ã®ç·šæ•°,縦ã®ç·šæ•°\{.分割数, é™ç•Œå€¤1.é™ç•Œå€¤2\}\})} - -%\noindent -%\hspace*{3zw}\Ltab{10zw}{輪éƒ}Sfbdpersdata( Sfbdparadata ) ã§ä½œæˆã—ãŸãƒ‡ãƒ¼ã‚¿\\ -%\hspace*{3zw}\Ltab{10zw}{ç·š}個数ã‹å€¤ã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹\\ -%\hspace*{3zw}\Ltab{10zw}{é™ç•Œå€¤1}デフォルトã¯0.05\\ -%\hspace*{3zw}\Ltab{10zw}{é™ç•Œå€¤2}デフォルトã¯0.2 - -% -%\rei \verb|Out2$<$- Wireparadata(Out1,Fd1,5,5)|\\ -%\reicr \verb| Windisp(Projpara(Out1,Out2))|\\ -%\chuu WireHiddenData()㧠-%é™°ç·šã®ï¼“次元データãŒå¾—られる．\\ -%\chuu WirePt()ã§è¼ªéƒç·šã¨ã®äº¤ç‚¹ã®ï¼’次元データ㌠-%得られる． - -%\subsection{曲é¢ã¨æ›²ç·š} - -%\subsubsection{パラメータ平é¢ä¸Šã®æ›²ç·š} - -%\tab{Crvonsfparadata(å¹³é¢ä¸Šã®æ›²ç·š2Dデータ,輪éƒ,関数データ \{,オプション\})} - -%\tab{Crvonsfpersdata(å¹³é¢ä¸Šã®æ›²ç·š2Dデータ,輪éƒ,関数データ \{,オプション\})} - -%\rei \verb|Fg$<$- Parametricplot("c(T, 0)","T$<$- c(0,2*\%pi)")|\\ -%\reicr \verb| Out4$<$- Crvonsfpersdata(Fg,Out1,Fd)|\\ -%\chuu CrvonsfHiddenData()ã§é™°ç·šã®ï¼“次元データãŒå¾—られる． - -% -%\subsubsection{曲é¢ä¸Šã®æ›²ç·š} - -%\tab{Crv3onsfparadata(曲é¢ä¸Šã®æ›²ç·š3Dデータ,輪éƒ,関数データ\{,オプション\})} - -%\tab{Crv3onsfpersdata(曲é¢ä¸Šã®æ›²ç·š3Dデータ,輪éƒ,関数データ \{,オプション\})} - -%\rei \verb|Out5$<$- Crv3onsfparadata(Fg,Out1,Fd)|\\ -%\chuu Crv3onsfHiddenData()ã§é™°ç·šã®ï¼“次元データãŒå¾—られる． - -%\subsubsection{曲é¢å¤–ã®æ›²ç·š} - -%\tab{Crvsfparadata(曲線3D,輪éƒ,関数データ\{,オプション\})} - -%\tab{Crvsfpersdata(曲線3D,輪éƒ,関数データ \{,オプション\})} - -%\rei \verb|G2$<$- Xyzax3data("x$<$- c(-5,5)","y$<$- c(-5,5)",...|\\ -%\reicr \verb| "z$<$- c(-5,5)")|\\ -%\reicr \verb| Out2$<$- Crvsfparadata(G2,Out1,Fd)|\\ -%\chuu CrvsfHiddenData()ã§é™°ç·šã®ï¼“次元データãŒå¾—られる．\\ -%\chuu 曲線ã¨æ›²é¢ãŒäº¤ã‚らãªã„ã¨ãã¯ï¼Œå¼•æ•°ã®æœ€å¾Œã« $-1$ã‚’ã¤ã‘る． - -%\subsubsection{ãã®ä»–ã®ã‚³ãƒžãƒ³ãƒ‰} - -%\tab{Intersectcrvsf(曲線3D, 関数データ\{,分割数\{,é™ç•Œå€¤\}\})}\\ -%\tab{}曲線ã¨æ›²é¢ã¨ã®äº¤ç‚¹ï¼ˆMD）を求ã‚る． - -%\subsection{曲é¢ã®åˆ‡æ–} - -%%\tab{polarcoordx()}極座標$r,\ t$ã®$x$座標を与ãˆã‚‹é–¢æ•°ã‚’返㙠- -%%\tab{polarcoordx()}極座標$r,\ t$ã®$x$座標を与ãˆã‚‹é–¢æ•°ã‚’返㙠- -%\tab{Sfcutdata(曲é¢ãƒ‡ãƒ¼ã‚¿, 切æ–é¢ãƒ‡ãƒ¼ã‚¿ \{, 分割数\} )}\\ -%\tab{}曲é¢ã‚’切ã£ãŸã¨ãã®åˆ‡ã‚Šå£ã®3dデータを作æˆ\\ -%\chuu 切æ–é¢ã¯ï¼Œ$x,\ y,\ z$ãªã©ã®æ–¹ç¨‹å¼ã§ä¸Žãˆã‚‹ï¼Ž\\ -%\hspace*{15zw}（平é¢ã®å ´åˆã¯ï¼ŒPhcutdataã®ã‚ˆã†ã«ä¸Žãˆã¦ã‚‚よã„）\\ -%\rei \verb|Fd$<$- c("p","R*cos(T)","R*sin(T)","2*(1-R)",|\\ -%\reicr \verb| "R$<$- c(0,1)","T$<$- c(0,2*%pi)","se")|\\ -%\reicr \verb|Out$<$- Sfcutdata(Fd,"x^2+(z-1/2)^2$<$- 1/4")| - -%\tab{Sfcutoffparadata(関数データ, 切æ–é¢, ç¬¦å· \{ , 分割数\} )} - -%\tab{Sfcutoffrawparadata(関数データ, 切æ–é¢, ç¬¦å· \{ , 分割数\} )} - -%\tab{Sfcutoffpersdata(関数データ, 切æ–é¢, ç¬¦å· \{ , 分割数\} )} - -%\tab{Sfcutoffrawpersdata(関数データ, 切æ–é¢, ç¬¦å· \{ , 分割数\} )} - -%\tab{}切æ–é¢ã§åˆ‡ã£ãŸæ›²é¢ã‚’リッジライン法ã§è¿”ã™ - -% -%\rei \verb|Fd$<$- list("z$<$- 2*(1-sqrt(abs(x^2+y^2)))","x$<$- R*cos(T)",|\\ -%\reicr \verb| "y$<$- R*sin(T)","R$<$- c(0,1)","T$<$- c(0,2*%pi)","e")|\\ -%\reicr \verb| Out$<$- Sfcutoffparadata(Fd,"z$<$- 1+2*x","-")| - - -\section{ãã®ä»–} - -%\tab{bksl("コマンド}\,)}コマンドã«$\backslash$ã‚’ã¤ã‘ãŸæ–‡å—列を作る\\ -%\rei　str$<$- bksl("sin x}\,) - -\tab{Readtextdata(ファイルå，\{開始ä½ç½®\{,オプション\}\})}\\ -\tab{}% -\begin{mini}{30zw} -ファイルã‹ã‚‰ã‚³ãƒ³ãƒžï¼Œã‚¹ãƒšãƒ¼ã‚¹ï¼Œã‚¿ãƒ–区切りã®ãƒ†ã‚ストをèªè¾¼ã¿ï¼Œ -データ行列を返ã™\vspace{2mm} -\end{mini}\\ -\chuu オプション：\\ -\hspace*{18zw}"R=èªã¿è¾¼ã¿è¡Œæ•°" （デフォルトã¯ã™ã¹ã¦ï¼‰\\ -\hspace*{18zw}"C=èªã¿è¾¼ã¿åˆ—æ•°"（デフォルトã¯ã™ã¹ã¦ï¼‰ \\ -\hspace*{18zw}"Cna=è«–ç†å€¤"　１行を列åã«ã™ã‚‹ã‹ï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆTRUE） \\ -\hspace*{18zw}"Rna=è«–ç†å€¤"　１列を行åã«ã™ã‚‹ã‹ï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆFALSE） \\ -\rei DL$<$- Readtextdata("dt.csv",\ c(2,\ 1),\ "R=1000",\ "C=2") - -\tab{Writetextdata(データフレーム，ファイルå)}\\ -\tab{}データフレームを .csvファイルã«æ›¸ã出ã™\\ -\chuu 列åã¯ï¼‘行目ã«ãŠã，NAã¯blankã«ã™ã‚‹\\ -\rei Writetextdata(Df, "ex.csv") - -\tab{Tonumeric(\,æ–‡å—列ã‹ã‚‰ãªã‚‹ãƒ‡ãƒ¼ã‚¿è¡Œåˆ— \{, 開始ä½ç½® \{ , 終了ä½ç½®\}\}\.)}\\ -\tab{}行列ã®æˆåˆ†ã‚’数値ã«å¤‰æ›ï¼ˆå¤‰æ›ã§ãã‚‹è¡Œã¨åˆ—ã‹ã‚‰ãªã‚‹éƒ¨åˆ†è¡Œåˆ—）\\ -\rei Dn$<$- Tonumeric(DL) - -%\tab{Newlength(\,)}% -%\begin{mini}{30zw} -%è·é›¢å¤‰æ•° \verb+ \Width, \Height, \Depth +を定義ã™ã‚‹\TeX コマンドを画é¢ã«è¡¨ç¤º -%\end{mini} -%\\ -%\rei \prompt newlength()+\\ -%\hspace*{6zw}\reicr \verb+\newlength{\Width}+\\% -%\hspace*{6zw}\reicr \verb+\newlength{\Height}+\\% -%\hspace*{6zw}\reicr \verb+\newlength{\Depth}+% - -%\tab{Mawarikomi("å¹…"\,)}% -%\begin{mini}{28zw} -%emathã®mawarikomi環境ã®ã‚³ãƒ¼ãƒ‰ã‚’生æˆè¡¨ç¤º -%\end{mini}\\ -%\rei Mawarikomi("5cm"\,) - -\subsection{作表} - -\tab{Tabledata(\{大ãã•,\}\ 縦線相対幅,\ 横線相対高ã•\,)}\\% -\tab{}表ã®ãƒ‡ãƒ¼ã‚¿listã‚’è¿”ã™\\ -\tab{}\hspace{-2zw}戻り値：PD，縦線添å—，横線添å—ï¼Œæž ç¸¦PDï¼Œæž æ¨ªPDï¼Œå¤–æž PD\\ -\hspace*{10zw}大ãã•ã¯æ¬¡ã®ãƒ™ã‚¯ãƒˆãƒ«\\ -\hspace*{12zw}横，縦（,\ å·¦margin,\ å³margin（,\ 上margin,\ 下margin))\\ -\chuu 横（縦）を -1 ã¨ã—ãŸã¨ãã¯ï¼Œç¸¦ï¼ˆæ¨ªï¼‰ç·šã®ãƒ‡ãƒ¼ã‚¿ã‹ã‚‰\\ -\hspace*{16.3zw}自動的ã«è¨ˆç®—ã•ã‚Œã‚‹ï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆï¼‰\\ -\hspace*{10zw}縦線相対ä½ç½®ã¯å·¦ã®ç½«ç·šã‹ã‚‰ã®å¹…list（縦方å‘ã®å§‹ç‚¹ï¼Œçµ‚点）\\ -\hspace*{10zw}横線相対ä½ç½®ã¯ä¸Šã®ç½«ç·šã‹ã‚‰ã®å¹…list（横方å‘ã®å§‹ç‚¹ï¼Œçµ‚点）\\ -\chuu æç”»é ˜åŸŸã¯è‡ªå‹•çš„ã«è¨å®šã•ã‚Œã‚‹ - -\rei Tmp1$<$- list(20, 30,list(30,0,10), list(0,15,20), 40)\\ -\reicr Tmp2$<$- list(15)\\ -\reicr Out$<$- Tabledata(c(150,20),Tmp1,Tmp)\\ -\reicr Tb$<$- Tabledata(Tmp1,Tmp2) - -\tab{Dividetable(表データ)}æž ï¼Œç¸¦ç½«ç·šï¼Œæ¨ªç½«ç·šã‚’æˆåˆ†ã¨ã™ã‚‹ãƒªã‚¹ãƒˆã‚’è¿”ã™\\ -\rei G$<$- Dividetable(Tb)（G[[1]],G[[2]],G[[3]]ãŒæž ，縦，横） - -\tab{Partframe(表データ,\ 開始ä½ç½®ï¼Œçµ‚了ä½ç½®)}\\ -\tab{}æž ã®ä¸€éƒ¨ã®PD\\ -\chuu ä½ç½®ã¯ãã‚Œãžã‚Œï¼Œc(列番å·,\ 行番å·)\\ -\chuu 開始ä½ç½®ã‹ã‚‰çµ‚了ä½ç½®ã¾ã§ã®å時計回りã®PD\\ -\rei G$<$- Parframe(Tb,\ c(4,1),c(1,2)) - -\tab{Findcell(表データ,\ 列番å·,\ 行番å·\,)}\\% -\tab{}セルã®æƒ…å ±list（ä¸å¿ƒï¼Œæ¨ªå¹…ï¼ï¼’，縦幅ï¼ï¼’）を返ã™\\ -\chuu 番å·ã¯å·¦ä¸Šã®ä½ç½®\\ -\rei Out$<$- Findcell(Out,2,1)\\ -\chuu 番å·ãŒãƒ™ã‚¯ãƒˆãƒ«ã®ã¨ãã¯ï¼Œãã®ç¯„囲ã®ã‚»ãƒ«\\ -\rei Out$<$- Findcell(Out,c(2,4),1)\\ -\chuu 番å·ãŒãƒ™ã‚¯ãƒˆãƒ«ã®ã¨ãã¯ï¼Œãã®ç¯„囲ã®ã‚»ãƒ«\\ -\rei Out$<$- Findcell(Out,c(2,4),1)\\ -\tab{Findcell(表データ,\ 左セル，\{ å³ã‚»ãƒ«\} )}\\ -\rei Out$<$- Findcell(Out,"A2") - -\tab{Diagcelldata(表データ，列番å·ï¼Œè¡Œç•ªå·)}\\ -\tab{}セルã®å¯¾è§’ç·šPDã®ãƒªã‚¹ãƒˆã‚’返㙠- -\tab{Putcell(表データ,\ 列番å·,\ 行番å·,\ ä½ç½®,\ æ–‡å—データ)}\\% -\tab{}セルã«æ–‡å—列を入れるコードを出力\\ -\chuu ä½ç½®ã¯"c", "r", "l", "u", "d", "b" \\ -\chuu u : up , d : down, b : baseline （微å°ç§»å‹•é‡ã‚’ä»˜åŠ ã§ãる）\\ -\rei Putcell(Out,2,1,"c","221")\\ -\rei Putcell(Out,"B3","l","\$ab\$") - -\tab{Putrow(表データ,\ 行番å·,\ æ–‡å—データã®åˆ—)}\\% -\tab{}１行ã«é †ã«æ–‡å—を書ã入れる\\ -\rei Putrow(TbL, 2, "a", "b", "c" )\\ -\chuu デフォルトä½ç½®ã¯ "c"　ãれ以外ã®ã¨ãã¯list内ã§æŒ‡å®š\\ -\chuu 複数列ã«ã‚ãŸã‚‹ã¨ãã¯ï¼Œåˆ—æ•°ã‚’ list 内ã§æŒ‡å®š\\ -\rei Putrow(TbL, 2, list("r","a"), list(2, "b"), "c")\\ -\hspace*{20zw}（rã®ä½ç½®ã«a，2列ã¨ã£ã¦bã‚’ãŠã） - -\tab{Putrowexpr(表データ,\ 行番å·,\ æ–‡å—ä½ç½®,\ æ–‡å—データã®åˆ—)}\\% -\tab{}１行ã«é †ã«æ•°å¼ã‚’書ã入れる - -\tab{PutcoL(表データ,\ 列番å·ï¼ˆåå‰ï¼‰ï¼ˆ,\ æ–‡å—データã®åˆ—)}\\% -\tab{}１列ã«é †ã«æ–‡å—を書ã入れる\\ -\rei PutcoL(TbL, "C", "a", "b", "c" ) - -\tab{PutcoLexpr(表データ,\ 列番å·(åå‰),\ æ–‡å—ä½ç½®ï¼Œæ–‡å—データã®åˆ—}\\% -\tab{}１列ã«é †ã«æ•°å¼ã‚’書ã入れる - -\tab{Putrowstr(表データ,\ 行番å·ï¼Œæ–‡å—ä½ç½®ï¼Œæ–‡å—列}\\% -\tab{}１行ã«æ–‡å—列ã®æ–‡å—を１ã¤ãšã¤æ›¸ã入れる\\ -\rei Putrowstr(TbL, 1, "c", "xyz" ) - -\tab{PutcoL(表データ,\ 列番å·ï¼ˆåå‰ï¼‰ï¼Œæ–‡å—ä½ç½®ï¼Œæ–‡å—列}\\% -\tab{}１列ã«æ–‡å—列ã®æ–‡å—を１ã¤ãšã¤æ›¸ã入れる - -\subsection{\TeX ã®ã‚³ãƒžãƒ³ãƒ‰æ›¸ã出ã—（メタコマンド）} - -\tab{Texcom("コマンド"\,)}\TeX コマンドã®ã‚³ãƒ¼ãƒ‰ã‚’書ã出ã™\\ -\rei Texcom("$\backslash\backslash$begin\{minipage\}\{3cm\}")\\ -\chuu "newline" ã®ã¨ã，空白行を挿入 - - -\tab{Openphr(\,ユーザーコマンドå\,)，Closephr(\,)}\\ -\tab{}$\backslash$defã®ã‚³ãƒžãƒ³ãƒ‰å®šç¾©ã‚’始ã‚ã‚‹\\ -\rei Openphr("$\backslash\backslash$p"\,)\\ -\reicr Texcom("$\backslash\backslash$begin\{array\}\{cc\}"\,)\\ -\reicr Texcom("5 \& 3$\backslash\backslash\backslash\backslash$"\,)\\ -\reicr Texcom("8 \& 7"\,)\\ -\reicr Texcom("$\backslash$end\{array\}\$"\,)\\ -\reicr Closephr(\,) - -\tab{Openpar(\,ユーザーコマンドå，幅\ \{,\ ä½ç½® \}\,), Closepar(\,)}\\ -\tab{}minipage環境をå«ã‚€$\backslash$def コマンド定義を始ã‚ã‚‹\\ -\chuu ä½ç½®ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ "c"\\ -\rei Openpar("$\backslash\backslash$s","5cm"\,)\\ -\reicr Texcom("$\backslash\backslash$input\{rei\}"\,)\\ -\reicr Closepar(\,)\\ -\reicr Letter(\,c([2,3),"se","$\backslash\backslash$s"\,) - -\tab{Texletter(\ 点(listå½¢å¼), æ–¹å‘, æ–‡å—列 ，・・・)}\\ -\tab{}点ã®ä½ç½®ã®ã€Œæ–¹å‘ã€ã«æ–‡å—列をã‹ã（複数å¯ï¼‰\\ -\rei Texletter(\,list(4,"\#1"),"n","æ–‡å—")\\ -\chuu ä½ç½®ã¯"n", s", "e", "w", "ne", "nw", "se", "sw", "c"\\ -\chuu 点ã®ä½ç½®ã¯ãƒªã‚¹ãƒˆå½¢å¼ã§ï¼Œ\TeX ã®å½¢å¼ã§æ¸¡ã™ã“ã¨ãŒã§ãる． - -\tab{Texnewctr(番å·ã¾ãŸã¯ç•ªå·ã®ãƒ™ã‚¯ãƒˆãƒ«)}\\ -\tab{}\ketpic ã§ä½¿ã†ã‚«ã‚¦ãƒ³ã‚¿(ketpicctra,...)を定義 - -\tab{Texctr(番å·ã¾ãŸã¯ã‚«ã‚¦ãƒ³ã‚¿å)}\\ -\tab{}番å·ã®ã‚«ã‚¦ãƒ³ã‚¿åã¾ãŸã¯ã‚«ã‚¦ãƒ³ã‚¿åを返㙠- -\tab{Texthectr(番å·)} \verb|\|the+カウンタåã®æ–‡å—列を返㙠- -\tab{Texvalctr(番å·)} \verb|\|value\{カウンタå\}ã®æ–‡å—列を返㙠- -\tab{Texsetctr(番å·ï¼Œæ–‡å—列)}カウンタã«å€¤ã‚’セットã™ã‚‹\TeX コマンド列を出力\\ -\rei Texsetctr(2, "1*2/3");\\ -\rei Texsetctr(2, "(-\verb|#|1)+2"); - -\tab{Texletter(ä½ç½®ï¼ˆlist），方å‘，文å—列)}\\ -\tab{}ä½ç½®listã§è¡¨ã•ã‚Œã‚‹ç‚¹ã«æ–‡å—列をã‹ã\TeX コマンド列を出力\\ -\rei Texletter(list(10,paste("-",Texvctr(2),sep="")),"ne","\verb|\|content");\\ -\rei Texletter(list(0, "\verb|#|1"), "c", "A"); - -\tab{Texnewcmd(コマンドå，引数ã®å€‹æ•°ï¼Œã‚ªãƒ—ション値)}\\ -\tab{}\verb|\|newcommand を始ã‚ã‚‹\TeX コマンドを出力 - -\tab{Texrenewcmd(コマンドå，引数ã®å€‹æ•°ï¼Œã‚ªãƒ—ション値)}\\ -\tab{}\verb|\|renewcommand を始ã‚ã‚‹\TeX コマンドを出力 - -\tab{Texend()}\TeX ã®ã‚³ãƒžãƒ³ãƒ‰å®šç¾©ã‚’終ã‚ã‚‹\TeX コマンドを出力 - -\tab{Texfor(カウンタ番å·ï¼ŒåˆæœŸå€¤ï¼Œçµ‚了値)}\\ -\tab{}\TeX ã®ãƒ«ãƒ¼ãƒ—æ§‹é€ ã‚’å§‹ã‚る．\\ -\chuu åˆæœŸå€¤ï¼Œçµ‚了値ã¯æ–‡å—列ã§ä¸Žãˆã‚‹ï¼Ž\\ -\rei Texfor(1,"1","\verb|#|1"); - -\tab{Texendfor(カウンタ番å·)}\TeX ã®ãƒ«ãƒ¼ãƒ—æ§‹é€ ã‚’çµ‚ãˆã‚‹ï¼Ž\\ -\rei Texendfor(1); - -\tab{Texforinit()}\TeX ã®ãƒ«ãƒ¼ãƒ—æ§‹é€ ã‚’åˆæœŸåŒ– - -\tab{Texif(数値æ¡ä»¶\ \{ ,1 \})}\TeX ã®ifæ§‹é€ ã‚’å§‹ã‚る．（ifnumã¾ãŸã¯ ifdim）\\ -\chuu æ¡ä»¶ã¯æ–‡å—列ã§ä¸Žãˆã‚‹ï¼Ž\\ -\chuu 1ã‚’è¿½åŠ ã—ãŸã¨ãã¯ã€€ifdim\\ -\rei Texif("Texctr(1)\verb|<#|2"); - -\tab{Texelse()}\TeX ã®elseブãƒãƒƒã‚¯ï¼Ž - -\tab{Texendif()}\TeX ã®ifæ§‹é€ ã‚’çµ‚ãˆã‚‹ï¼Ž -%\tab{Setmark()}マークシート用マークã®ã‚³ãƒ¼ãƒ‰ã‚’出力 - -%\tab{Putdashmark(表データ,\ 列番å·,\ 行番å·,æ–‡å—列or番å·)}\\ -%\rei Putdashmark(Out,2,1,0:9); - -%\tab{Putcirmark(表データ,\ 列番å·,\ 行番å·)} - -%\tab{Putrecmark(表データ,\ 列番å·,\ 行番å·} - -\subsection{カラーè¨å®š} - -\tab{Setcolor(色 \{, 濃ã•\})}色をè¨å®š\\ -\chuu colorパッケージ必è¦\\ -\hspace*{2zw} 色ã¯ï¼Œæ¬¡ã®æ–‡å—列ã¾ãŸã¯ [c,m,y,k]ã®ãƒ™ã‚¯ãƒˆãƒ«\\ -\hspace*{2.5zw}"greenyellow"[0.15,0,0.69,0], -"yellow"[0,0,1,0], -"goldenrod"[0,0.1,0.84,0], -"dandelion"[0,0.29,0.84,0]\\ -\hspace*{2.5zw}"apricot"[0,0.32,0.52,0], -"peach"[0,0.5,0.7,0], -"melon"[0,0.46,0.5,0], -"yelloworange"[0,0.42,1,0]\\ -\hspace*{2.5zw}""orange"[0,0.61,0.87,0], -"burntorange"[0,0.51,1,0], -"bittersweet"[0,0.75,1,0.24],\\ -\hspace*{2.5zw}"redorange"[0,0.77,0.87,0]\\ -\hspace*{2.5zw}"mahogany"[0,0.85,0.87,0.35], -"maroon"[0,0.87,0.68,0.32], -"brickred"[0,0.89,0.94,0.28], -"red"[0,1,1,0]\\ -\hspace*{2.5zw}"orangered"[0,1,0.5,0], -"rubinered"[0,1,0.13,0], -"wildstrawberry"[0,0.96,0.39,0],\\ -\hspace*{2.5zw}"salmon"[0,0.53,0.38,0]\\ -\hspace*{2.5zw}"carnationpink"[0,0.63,0,0], -"magenta"[0,1,0,0], -"violetred"[0,0.81,0,0], -"rhodamine"[0,0.82,0,0]\\ -\hspace*{2.5zw}"mulberry"[0.34,0.9,0,0.02], -"redviolet"[0.07,0.9,0,0.34], -"fuchsia"[0.47,0.91,0,0.08],\\ -\hspace*{2.5zw}"lavender"[0,0.48,0,0]\\ -\hspace*{2.5zw}"thistle"[0.12,0.59,0,0], -"orchid"[0.32,0.64,0,0], -"darkorchid"[0.4,0.8,0.2,0], -"purple"[0.45,0.86,0,0]\\ -\hspace*{2.5zw}"plum"[0.5,1,0,0], -"violet"[0.79,0.88,0,0], -"royalpurple"[0.75,0.9,0,0], -"blueviolet"[0.86,0.91,0,0.04]\\ -\hspace*{2.5zw}"periwinkle"[0.57,0.55,0,0], -"cadetblue"[0.62,0.57,0.23,0], -"cornflowerblue"[0.65,0.13,0,0],\\ -\hspace*{2.5zw}"midnightblue"[0.98,0.13,0,0.43]\\ -\hspace*{2.5zw}"navyblue"[0.94,0.54,0,0], -"royalblue"[1,0.5,0,0], -"blue"[1,1,0,0], -"cerulean"[0.94,0.11,0,0]\\ -\hspace*{2.5zw}"cyan"[1,0,0,0], -"processblue"[0.96,0,0,0], -"skyblue"[0.62,0,0.12,0], -"turquoise"[0.85,0,0.2,0]\\ -\hspace*{2.5zw}"tealblue"[0.86,0,0.34,0.02], -"aquamarine"[0.82,0,0.3,0], -"bluegreen"[0.85,0,0.33,0],\\ -\hspace*{2.5zw}"emerald"[1,0,0.5,0]\\ -\hspace*{2.5zw}"junglegreen"[0.99,0,0.52,0], -"seagreen"[0.69,0,0.5,0], -"green"[1,0,1,0], -"forestgreen"[0.91,0,0.88,0.12]\\ -\hspace*{2.5zw}"pinegreen"[0.92,0,0.59,0.25], -"limegreen"[0.5,0,1,0], -"yellowgreen"[0.44,0,0.74,0],\\ -\hspace*{2.5zw}"springgreen"[0.26,0,0.76,0]\\ -\hspace*{2.5zw}"olivegreen"[0.64,0,0.95,0.4], -"rawsienna"[0,0.72,1,0.45], -"sepia"[0,0.83,1,0.7], -"brown"[0,0.81,1,0.6]\\ -\hspace*{2.5zw}"tan"[0.14,0.42,0.56,0], -"gray"[0,0,0,0.5], -"black"[0,0,0,1], -"white"[0,0,0,0] - -\end{document} - -\newpage - -\section{内部コマンド} - -\tab{CalcHeight} - -\tab{CalcWidth} - -\tab{Dataindex} - -\tab{Gaiseki} - -\tab{InWindow} - -\tab{Kouten} - -\tab{KoutenList} - -\tab{Koutenseg} - -\tab{Kyoukai} - -\tab{MakeBowdata} - -\tab{MakeCurves} - -\tab{Makehasen} - -\tab{Makeshasen} - -\tab{MeetWindow} - -\tab{Mixmake} - -\tab{Naigai} - -\tab{Naiseki} - -\tab{Vecnagasa(A, B)}$<$- norm(B-A) - -\tab{Makevaltable} - -\tab{Connectseg} - - - -\end{document} diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketlayer20161211J.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketlayer20161211J.tex deleted file mode 100644 index 630e19f2a9f..00000000000 --- a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketlayer20161211J.tex +++ /dev/null @@ -1,273 +0,0 @@ -\documentclass[a4j]{jarticle} - -\usepackage{ketpic,ketlayer} - -\usepack - -\input{refstyle} - -\setmargin{20}{20}{15}{25} - -\begin{document} - -\begin{flushright} -2016.12.11 -\end{flushright} - - -\begin{center} -{\bf \huge \ketpic\ style ---ketlayer---}\vspace{3mm}\\ -\end{center} - -\section{スタイルå} -\tab{ketlayer.sty,\ ketlayer2e.sty(pict2eå¿…è¦)} - -\section{概è¦} -追記（コメント，メモ，挿絵）用ã®ç’°å¢ƒï¼Œãƒžã‚¯ãƒã‚’定義．\\ -\hspace*{5zw}ketpic.sty ã‚‚èªã‚“ã§ãŠã．\\ -\hspace*{5zw}graphicx,\ color ã‚‚å¿…è¦ - -\section{環境} - -\tab{\bs begin\br{layer}[方眼ã®æ°´å¹³ç§»å‹•]\br{W}\br{H}---\bs end\br{layer}}\\ -\tab{}メモを書ããŸã‚ã®picture環境を定義ã—ã¦ï¼Œæ–¹çœ¼ã‚’æã．\\ -\chuu 方眼ã®æ°´å¹³ç§»å‹•ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ 0\\ -\chuu $\mathrm{H}=0$ã®ã¨ãã¯ï¼Œæ–¹çœ¼ã‚’æã‹ãªã„．\\ -\chuu $\mathrm{H}<0$ã®ã¨ãã¯ï¼Œä¸Šå´ã«æ–¹çœ¼ã‚’æã．\\ -\rei \bs begin\br{layer}\br{170}\br{30} - -\vspace{0.5\baselineskip} - -\begin{layerv}{0}{30} - -\end{layerv} - -\vspace{7\baselineskip} - -%\tab{\bs begin\br{layerv}[方眼ã®æ°´å¹³ç§»å‹•]\br{縦方å‘ã®ç§»å‹•}\br{H}---\bs end\br{layerv}}\\ -%\tab{}縦方å‘ã®ç§»å‹•ã‚’ã—，水平方å‘ã¯ç´™å¹…ã‹ã‚‰è‡ªå‹•è¨ˆç®—．縦方å‘ã¯ä¸‹ãŒï¼‹\\ -%\chuu 該当部分ã®ä¸‹ã«ãŠã，$-$ã§æŒ‡å®šã™ã‚‹ã®ãŒæ™®é€š - -\tab{\bs begin\br{layerg}[1 or 0]\br{C}---\bs end\br{layerg}} - -\tab{}C（図ãªã©ï¼‰ã®ä¸‹ã«ãŠã，Cã®ç¸¦å¹…ã ã‘方眼をãŠã\\ -\chuu オプション引数(def=1)：１ã®ã¨ã方眼をæã，ï¼ã®ã¨ãæã‹ãªã„ - -\section{シンボル} - - -\begin{layer}{170}{0} - -\putnotec{30}{35}{\cirscoremark{0.8}} - -\putnotec{60}{35}{\scirscoremark{0.8}} - -\putnotec{90}{35}{\triscoremark{0.8}} - -\putnotec{120}{35}{\crosscoremark{0.8}} - -\end{layer} - - -%\tab[6cm]{\bs circlemark[thickness]\br{size}}円\\ -%\chuu サイズã¯ç›´å¾„10mmã‹ã‚‰ã®å€çŽ‡ã§ä¸Žãˆã‚‹ï¼Ž\\ -%\chuu thicknessã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ã€€8 ( milli inch） - -%\tab[6cm]{\bs remarkmark[thickness]\br{size}}注æ„マーク - -\tab[6cm]{\bs cirscoremark[thickness]\br{size}}手ãŒãã®2é‡ä¸¸ - -\tab[6cm]{\bs scirscoremark[thickness]\br{size}}手ãŒãã®å˜ä¸¸ - -\tab[6cm]{\bs triscoremark[thickness]\br{size}}手ãŒãã®ä¸‰è§’ - -\tab[6cm]{\bs crosscoremark[thickness]\br{size}}手ãŒãã®ãƒãƒ„ - -\vspace{6\baselineskip} - -\section{マクãƒä¸€è¦§} - -\begin{layer}{160}{0} - -\putnotee{120}{20}{\fbox{$\dfrac{1}{2}$}} - -\end{layer} - -\tab[14zw]{\bs putnotec\br{x}\br{y}\br{Char}}(x,\ y)ã‚’ä¸å¿ƒã«Charを書ã - -\tab[14zw]{\bs putnotee\br{x}\br{y}\br{Char}}(x,\ y)ã®å³ã«Charを書ã - -\tab[14zw]{\bs putnotew\br{x}\br{y}\br{Char}}(x,\ y)ã®å·¦ã«Charを書ã - -\tab[14zw]{\bs putnotes\br{x}\br{y}\br{Char}}(x,\ y)ã®ä¸‹ã«Charを書ã - -\tab[14zw]{\bs putnoten\br{x}\br{y}\br{Char}}(x,\ y)ã®ä¸Šã«Charを書ã - -\tab{\bs putnotene\br{x}\br{y}\br{Char}\ ,\ -\bs putnotenw\br{x}\br{y}\br{Char}} - -\tab{\bs putnotese\br{x}\br{y}\br{Char}\ ,\ -\bs putnotesw\br{x}\br{y}\br{Char}} - -\noindent -\rei putnotee\br{20}\br{5}\br{\bs fbox\br{\$\bs dfrac\br{1}\br{2}\$}} - -\mbox{} - -\begin{layer}{160}{0} - -\lineseg[16]{135}{25}{30}{25} - -\arrowlineseg[16]{130}{50}{10}{45} - -\end{layer} - -\tab{\bs lineseg[thickness]\br{$x$}\br{$y$}\br{$L$}\br{$\theta$}}\\ -\tab{}点$(x, \ y)$ã‹ã‚‰é•·ã•$L$ã®ç·šåˆ†ã‚’$\theta^{\circ}$ -æ–¹å‘ã«æã（å˜ä½ã¯mm）\\ -\rei \bs lineseg[16]\br{130}\br{20}\br{30}\br{25}\\ -\chuu thicknessã®å˜ä½ã¯ã€€milli inch（デフォルト=12）\\ -\chuu $x,\ y,\ \theta$ ã¯å°æ•°ã§ã‚‚よã„． - -\tab{\bs dashlineseg[thickness]\br{$x$}\br{$y$}\br{$L$}\br{$\theta$}}\\ -\tab{}点$(x, \ y)$ã‹ã‚‰é•·ã•$L$ã®ç ´ç·šã‚’$\theta^{\circ}$ -æ–¹å‘ã«æã（å˜ä½ã¯mm） - -\tab{\bs arrowlineseg[thickness]\br{$x$}\br{$y$}\br{$L$}\br{$\theta$}}\\ -\tab{}矢å°ã‚’æã（éƒã¯å§‹ç‚¹ã«æã）\\ -\rei \bs arrowlineseg[16]\br{30}\br{20}\br{10}\br{45} - -\tab[13zw]{\bs arrowhead[size]\br{$x$}\br{$y$}\br{$\theta$}}éƒã ã‘ã‚’æã - -\mbox{} - -%\tab{\bs boxline[ç·šå¹…]\br{x}\br{y}\br{W}\br{H}}\\ -%\tab{}(x,\ y)ã®å³ä¸Š(ne)ã«å¹…W，高ã•Hã®çŸ©å½¢ã‚’æã．\\ -%\chuu ç·šå¹…ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯8 (milli inch）\\ -%\chuu n,\ s ãªã©8æ–¹å‘＋c ã‚’ä»˜åŠ ã™ã‚Œã°ï¼Œãã‚Œãžã‚Œã®æ–¹å‘ã«æã\\ -%\rei \bs boxlinen\br{30}\br{20}\br{50}\br{5} - -\tab{\bs boxframe+dir[thickness]\br{x}\br{y}\br{W}\br{H}\br{æ–‡å—}}\\ -\tab{}(x,\ y)ã®diræ–¹å‘ã«å¹…W，高ã•Hã®çŸ©å½¢ã‚’æã，ä¸ã«æ–‡å—を入れる\\ -\chuu dir=n,\ s,\ e,\ w,\ ne,\ nw,\ se,\ sw,\ c \\ -\rei \bs boxframen\br{30}\br{20}\br{50}\br{5}\br{} - -%\tab{\bs dashboxline[ç·šå¹…]\br{x}\br{y}\br{W}\br{H}}\\ -%\tab{}(x,\ y)ã®å³ä¸Š(ne)ã«å¹…W，高ã•Hã®ç‚¹ç·šã®çŸ©å½¢ã‚’æã．\\ -%\chuu ç·šå¹…ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯8 (milli inch）\\ -%\chuu 8æ–¹å‘＋c ã«ã¤ã„ã¦ã¯ï¼Œ\bs boxlineã¨åŒã˜ - -\tab{\bs dashboxframe+dir[thickness]\br{x}\br{y}\br{W}\br{H}\br{æ–‡å—}}\\ -\tab{}(x,\ y)ã®diræ–¹å‘ã«ã‚®ã‚¶ã®çŸ©å½¢ã‚’æã，ä¸ã«æ–‡å—を入れる\\ -\chuu dir=n,\ s,\ e,\ w,\ ne,\ nw,\ se,\ sw,\ c - -\tab{\bs jaggyboxframe+dir[thickness]\br{x}\br{y}\br{W}\br{H}\br{æ–‡å—}}\\ -\tab{}(x,\ y)ã®diræ–¹å‘ã«ã‚®ã‚¶å››è§’形をæã，ä¸ã«æ–‡å—を入れる\\ -\chuu dir=n,\ s,\ e,\ w,\ ne,\ nw,\ se,\ sw,\ c - -\tab{\bs dialboxframe+dir[thickness]\br{x}\br{y}\br{W}\br{H}\br{æ–‡å—}}\\ -\tab{}(x,\ y)ã®diræ–¹å‘ã«ãƒ€ã‚¤ãƒ¤åž‹ã‹ã‚‰ãªã‚‹çŸ©å½¢ã‚’æã，ä¸ã«æ–‡å—を入れる\\ -\chuu dir=n,\ s,\ e,\ w,\ ne,\ nw,\ se,\ sw,\ c - -\tab{\bs eraser+dir[æž ]\br{$x$}\br{$y$}\br{W}\br{H}}\\ -\tab{}$(x,\ y)$ã®diræ–¹å‘ã®é•·æ–¹å½¢ã®å†…部を消ã™\\ -\chuu æž =0 ã¨ã™ã‚‹ã¨æž ç·šã‚’æã‹ãªã„（デフォルト㯠1）\\ -\chuu dir=n,\ s,\ e,\ w,\ ne,\ nw,\ se,\ sw,\ c - -\tab{\bs shadebox+dir[æž æç”»]\br{$x$}\br{$y$}\br{W}\br{H}\br{D}\br{色}}\\ -\tab{}$(x,\ y)$ã®diræ–¹å‘ã«å¹…W，高ã•Hã®çŸ©å½¢ã®å†…部を濃ã•Dã§å¡—ã‚‹\\ -\chuu æž æç”»ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ 0ï¼ˆæž ç·šã‚’æã‹ãªã„）\\ -\chuu dir=n,\ s,\ e,\ w,\ ne,\ nw,\ se,\ sw,\ c - -\vspace{\baselineskip} - -\begin{layer}{160}{0} - -\boxframese[24]{10}{0}{30}{16}{boxframe} -\dashboxframese{50}{0}{30}{16}{dashboxframe} -\jaggyboxframese{90}{0}{30}{16}{jaggyboxframe} -\diaboxframese{130}{0}{30}{16}{diaboxframe} -\shadeboxse{10}{0}{30}{16}{0.5}{green} - -\end{layer} - -\newpage - -\tab{\bs popframe[thickness]\br{x}\br{y}\br{Ds}\br{色s}\br{Dp}\br{色p}\br{色f}\br{æ–‡å—}}\\ -\tab{}(x,\ y)ã®å³ä¸‹(se)ã«æ–‡å—入り矩形をæã，濃ã•Dsã®é™°ã‚’ã¤ã‘ã‚‹\\ -\chuu 色p : 背景色，色f : æž ã®è‰²\\ -\chuu 矩形ã®å¤§ãã•ã¯æ–‡å—ã‹ã‚‰è‡ªå‹•è¨ˆç®—ã™ã‚‹\\ -\chuu ç·šã®å¤ªã•(thickness)ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯8\\ -\chuu æ–‡å—列ã®å¹…$\leqq 200mm$，高ã•$\leqq 100mm$\\ -\rei \bs popframe\br{0}\br{5}\br{0.5}\br{black}\br{1}\br{yellow}\br{yellow}\br{タイトル} - -\tab{\bs colorframe[thickness]\br{x}\br{y}\br{Dp}\br{色p}\br{色f}\br{æ–‡å—}}\\ -\tab{}(x,\ y)ã®å³ä¸‹(se)ã«æ–‡å—入り矩形をæã，背景を色pã§å¡—ã‚‹\\ -\chuu 矩形ã®å¤§ãã•ã¯æ–‡å—ã‹ã‚‰è‡ªå‹•è¨ˆç®—ã™ã‚‹\\ -\chuu ç·šã®å¤ªã•(thickness)ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯8\\ -\chuu æ–‡å—列ã®å¹…$\leqq 200$mm，高ã•$\leqq 100$mm\\ -\rei \bs colorframe\br{100}\br{5}\br{0.3}\br{green}\br{blue}\br{æ–‡å—列} - -\begin{layer}{160}{0} -\popframe{60}{5}{0.3}{black}{1}{yellow}{yellow}{\Large タイトル} -\colorframe{100}{5}{0.3}{green}{blue}{\Large\bf 強調文å—} -\end{layer} - -\vspace{15mm} - -\begin{layer}{160}{0} - -\hjaggyline{130}{10}{25} - -\vjaggyline{140}{20}{15} - -\end{layer} - -%\vspace{6\baselineskip} - -\tab{\bs hjaggyline[thickness]\br{x}\br{y}\br{W}}\\ -\tab{}(x,\ y)ã‹ã‚‰å·¦ã«å¹…Wã®ã‚®ã‚¶ç·šã‚’æã．\\ -\chuu bã‚’ä»˜åŠ ã™ã‚‹ã¨ï¼Œç·šã®å‡ºæ–¹ãŒé€†ã«ãªã‚‹ï¼Ž - -\tab{\bs vjaggyline[thickness]\br{x}\br{y}\br{W}}\\ -\tab{}(x,\ y)ã‹ã‚‰ä¸‹ã«å¹…Wã®ã‚®ã‚¶ç·šã‚’æã．\\ -\chuu bã‚’ä»˜åŠ ã™ã‚‹ã¨ï¼Œç·šã®å‡ºæ–¹ãŒé€†ã«ãªã‚‹ï¼Ž - -\tab{\bs circleline[thickness]\br{x}\br{y}\br{size}}\\ -\tab{}(x,\ y)ã‚’ä¸å¿ƒã« -円をæã - -\tab{\bs ballonr[thickness]\br{x}\br{y}\br{size}\br{Char}}\\ -\tab{}(x,\ y)ã‹ã‚‰å³ä¸Šã«å¹ã出ã—ã¨Charã‚’æã - -\tab{\bs ballonl[thickness]\br{x}\br{y}\br{size}\br{Char}}\\ -\tab{}(x,\ y)ã‹ã‚‰å·¦ä¸Šã«å¹ã出ã—ã¨Charã‚’æã - - -\tab[14zw]{\bs lefthand[thickness]\br{x}\br{y}}(x,\ y)ã«æŒ‡å…ˆã‚’æã - -\tab[14zw]{\bs righthand[thickness]\br{x}\br{y}}(x,\ y)ã«æŒ‡å…ˆã‚’æã - -\tab[16zw]{\bs leftdownhand[thickness]\br{x}\br{y}}(x,\ y)ã«æŒ‡å…ˆã‚’æã - -\tab[16zw]{\bs rightdownhand[thickness]\br{x}\br{y}}(x,\ y)ã«æŒ‡å…ˆã‚’æã - -\begin{layer}{180}{0} - -\ballonr{30}{40}{1}{Example1} - -\ballonl{90}{40}{1}{Example2} - -\lefthand{120}{30} - -\righthand{140}{30} - -\leftdownhand{120}{25} - -\rightdownhand{140}{25} - -\end{layer} - - - -\end{document} diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketpic161211J.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketpic161211J.tex deleted file mode 100644 index c7755b1340b..00000000000 --- a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketpic161211J.tex +++ /dev/null @@ -1,90 +0,0 @@ -\documentclass[a4j]{jarticle} -%ã‚ã„ㆠ- -\usepackage{ketpic,ketlayer} -\usepack - -\input{/tools/reference/refstyle} - -\setmargin{20}{20}{15}{25} - -\begin{document} - -\begin{flushright} -2016.12.11 -\end{flushright} - - -\begin{center} -{\bf \huge \ketpic\ --ketpic--}\vspace{3mm}\\ -\end{center} - -\section{スタイルå} -\tab{ketpic.sty,\ ketpic2e.sty(pict2eå¿…è¦)} - -\section{概è¦} - -\bs Width,\ \bs Height,\ \bs Depthを定義ã™ã‚‹ï¼Ž - -ã¾ãŸï¼Œ10個ã®ä¸€æ™‚カウンタ ketpicctra,\ $\cdots$,\ ketpicctrj を定義ã™ã‚‹ï¼Ž - -\section{マクãƒä¸€è¦§} - -\subsection{プリアンブル用} - -%\tab{\bs usepack}amsmath, amssymb,graphicx,colorã‚’èªã¿è¾¼ã‚€ - -\tab{\bs setmargin\br{left}\br{right}\br{top}\br{bottom}}\\ -\tab{}マージンè¨å®šï¼ˆå˜ä½ã¯mm）\\ -\rei \bs setmargin\br{20}\br{20}\br{15}\br{25} - -\subsection{本文用} - -\tab{\bs ketpic}ãƒã‚´ \ketpic - -\tab{\bs Ltab\br{W}\br{S}}Wã®å¹…を確ä¿ã—ã¦å·¦å¯„ã›ã§Sを書ã\\ -\rei \bs Ltab\br{5cm}\br{abc}xyz - -\tab{\bs Rtab\br{W}\br{S}}Wã®å¹…を確ä¿ã—ã¦å³å¯„ã›ã§Sを書ã - -\tab{\bs Ctab\br{W}\br{S}}Wã®å¹…を確ä¿ã—ã¦ä¸å¤®å¯„ã›ã§Sを書ã - -%\tab{\bs vbackward\br{C}}æ–‡å—Cã®é«˜ã•åˆ†ã ã‘上ã«æˆ»ã‚‹\\ -%\rei \bs vbackward\br{\bs includegraphics\br{ex.eps}} - -%\tab{\bs vforward\br{C}}æ–‡å—Cã®é«˜ã•åˆ†ã ã‘下ã«é€²ã‚€ - -\tab{\bs ketcalcwidth[0]\br{C}}æ–‡å—Cã®å¹…ã‚’å˜ä½é•·ã§è¨ˆã£ã¦ã‚«ã‚¦ãƒ³ã‚¿ï¼‘ã«è¿”ã™\\ -\chuu オプションãŒï¼‘ã®ã¨ãã¯ï¼Œå€¤ã‚’表示 - -\tab{\bs ketcalcheight[0]\br{C}}æ–‡å—Cã®é«˜ã•ã‚’å˜ä½é•·ã§è¨ˆã£ã¦ã‚’カウンタ１ã«è¿”ã™\\ -\chuu オプションãŒï¼‘ã®ã¨ãã¯ï¼Œå€¤ã‚’表示 - -\tab{\bs ketcalcdepth[0]\br{C}}æ–‡å—Cã®æ·±ã•ã‚’å˜ä½é•·ã§è¨ˆã£ã¦ã‚«ã‚¦ãƒ³ã‚¿ï¼‘ã«è¿”ã™\\ -\chuu オプションãŒï¼‘ã®ã¨ãã¯ï¼Œå€¤ã‚’表示 - -\tab{\bs ketcalcwh\br{C}}æ–‡å—Cã®æ¨ªå¹…ã¨ç¸¦å¹…ã‚’mmå˜ä½ã§è¿”ã™\\ -\chuu \{横幅\}\{縦幅\}ã®å½¢å¼ã§ - -\subsection{シンボル} - -\begin{layer}[120]{120}{0} -\putnotee{5}{5}{\dangerbendmark} -\putnotee{10}{10}{\cautionmark} -\putnotee{15}{15}{\circlemark{1}} -\putnotee{20}{25}{\circleshade{1}{0.5}} -\putnotee{5}{30}{\NEarrow,\ \NELarrow,\ \NERarrow} -\end{layer} - -\tab[6cm]{\bs dangerbendmark[size]}ブルãƒã‚ã®ã€Œå±é™ºãªæ›²ãŒã‚Šè§’〠- -\tab[6cm]{\bs cautionmark[size]}注æ„書ãã®ãƒžãƒ¼ã‚¯ - -\tab[6cm]{\bs circlemark[thickness]\br{size}} 円\\ -\chuu サイズ１= 4mm（直径） - -\tab[6cm]{\bs circleshade[thickness]\br{size}\br{density}}ä¸å¡—ã‚Šã®å†† - -\tab[6cm]{\bs NEarrow[å€çŽ‡],\bs NELarrow[å€çŽ‡]ãªã©} å¢—æ¸›çŸ¢å° - -\end{document} diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketslide161211.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketslide161211.tex deleted file mode 100644 index 31990d96dab..00000000000 --- a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketslide161211.tex +++ /dev/null @@ -1,72 +0,0 @@ -\documentclass[a4j]{jarticle} - -\usepackage{/tools/ketpic,/tools/ketlayer} -\usepack - -\input{/tools/reference/refstyle} - -\setmargin{20}{20}{15}{25} - -\begin{document} - -\begin{flushright} -2016.12.11 -\end{flushright} - - -\begin{center} -{\bf \huge \ketpic スタイル\ --ketslide--}\vspace{3mm}\\ -\end{center} - -\section{スタイルå} -\tab{ketslide.sty} - -\section{概è¦} - -プレゼン用スライドを作æˆã™ã‚‹ï¼Ž\\ -\hspace*{2zw}\bs documentclass[landscape,10pt]\{jarticle ã¾ãŸã¯ article\}\\ -\hspace*{2zw}スライドã®å¤§ãã•ã¯ã€€ç´„130 $\times$ 85 (mm) - - -\section{マクãƒä¸€è¦§} - -\subsection{プリアンブル用} - -\tab{\bs ketmarginJ}jarticleã®ã¨ãã®ãƒžãƒ¼ã‚¸ãƒ³è¨å®š - -\tab{\bs ketmarginE}articleã®ã¨ãã®ãƒžãƒ¼ã‚¸ãƒ³è¨å®š - -\tab{\bs ketslideinit}パラメータ指定マクãƒã¸ã®default値è¨å®š - -\noindent -\hspace*{2zw}\tab{\bs ketcletter}タイトルã®æ–‡å—色（black\\ -\hspace*{2zw}\tab{\bs ketcbox}ボックス内ã®è‰²ï¼ˆwhite\\ -\hspace*{2zw}\tab{\bs ketdbox}ボックス内ã®è‰²ã®æ¿ƒã•ï¼ˆ1）\\ -\hspace*{2zw}\tab{\bs ketcframe}æž ã®è‰²ï¼ˆblack）\\ -\hspace*{2zw}\tab{\bs ketcshadow}é™°ã®è‰²ï¼ˆblack）\\ -\hspace*{2zw}\tab{\bs ketdshadow}é™°ã®è‰²ã®æ¿ƒã•ï¼ˆ0.5）\\ -\hspace*{2zw}\tab{\bs slidetitlex}タイトルã®æ¨ªä½ç½®ï¼ˆ6）\\ -%\hspace*{2zw}\tab{\bs slidetitley}タイトルã®ç¸¦ä½ç½®ï¼ˆ7）\\ -\hspace*{2zw}\tab{\bs slidetitlesize}タイトルã®æ–‡å—サイズ（2）\\ -\hspace*{2zw}\tab{\bs mketcletter}メインタイトルã®æ–‡å—色（black）\\ -\hspace*{2zw}\tab{\bs mketcbox}メインタイトルã®ãƒœãƒƒã‚¯ã‚¹å†…ã®è‰²ï¼ˆwhite）\\ -\hspace*{2zw}\tab{\bs mketdbox}メインタイトルã®ãƒœãƒƒã‚¯ã‚¹å†…ã®è‰²ã®æ¿ƒã•ï¼ˆ1）\\ -\hspace*{2zw}\tab{\bs mketcframe}メインタイトルã®æž ã®è‰²ï¼ˆwhite）\\ -\hspace*{2zw}\tab{\bs mslidetitlex}メインタイトルã®æ¨ªä½ç½®ï¼ˆ62）\\ -%\hspace*{2zw}\tab{\bs mslidetitley}メインタイトルã®ç«‹ã¦ä½ç½®ï¼ˆ35）\\ -\hspace*{2zw}\tab{\bs mslidetitlesize}メインタイトルã®æ–‡å—サイズ（3）\\ -\hspace{6zw}注） ã“れらã®ãƒ‘ラメータã¯æœ¬æ–‡ä¸ã§ \bs def を使ã£ã¦å¤‰æ›´ã§ãる． - - -\subsection{本文用} - -\tab[15zw]{\bs newslide[縦ä½ç½®]\{タイトル\}}æ–°ã—ã„スライドを始ã‚る．（縦ä½ç½®ã®default=6） - -\tab[15zw]{\bs sameslide}[縦ä½ç½®]åŒã˜ãƒšãƒ¼ã‚¸ã¨ã—ã¦ï¼Œè¿½åŠ ã™ã‚‹ï¼Ž - -\tab[15zw]{\bs mainslide[縦ä½ç½®]\{タイトル\}}æ–°ã—ã„メインスライドを始ã‚る．（縦ä½ç½®ã®default=35） - -\tab[15zw]{\bs mainsameslide[縦ä½ç½®]}åŒã˜ãƒšãƒ¼ã‚¸ã¨ã—ã¦ï¼Œè¿½åŠ ã™ã‚‹ï¼Ž - - -\end{document}
\ No newline at end of file diff --git a/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/r01.obj b/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/r01.obj new file mode 100644 index 00000000000..2edf33c599d --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/r01.obj @@ -0,0 +1,8 @@ +v -0.81649658 -0.47140452 0.33333333 +v 0.81649658 -0.47140452 0.33333333 +v 0.00000000 0.00000000 -1.00000000 +v 0.00000000 0.94280904 0.33333333 +f 1 2 4 +f 1 4 3 +f 1 3 2 +f 2 3 4 diff --git a/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/r02.obj b/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/r02.obj new file mode 100644 index 00000000000..85bbede8b6f --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/r02.obj @@ -0,0 +1,14 @@ +v -0.70710678 -0.70710678 0.00000000 +v -0.70710678 0.70710678 0.00000000 +v 0.70710678 0.70710678 0.00000000 +v 0.70710678 -0.70710678 0.00000000 +v 0.00000000 0.00000000 -1.00000000 +v 0.00000000 0.00000000 1.00000000 +f 1 2 5 +f 1 5 4 +f 1 4 6 +f 1 6 2 +f 2 3 5 +f 2 6 3 +f 3 4 5 +f 3 6 4 diff --git a/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/r03.obj b/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/r03.obj new file mode 100644 index 00000000000..c42c1d1f6e0 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/r03.obj @@ -0,0 +1,14 @@ +v -0.57735027 -0.57735027 0.57735027 +v -0.57735027 0.57735027 0.57735027 +v 0.57735027 0.57735027 0.57735027 +v 0.57735027 -0.57735027 0.57735027 +v -0.57735027 -0.57735027 -0.57735027 +v -0.57735027 0.57735027 -0.57735027 +v 0.57735027 0.57735027 -0.57735027 +v 0.57735027 -0.57735027 -0.57735027 +f 1 2 6 5 +f 1 5 8 4 +f 1 4 3 2 +f 2 3 7 6 +f 3 4 8 7 +f 5 6 7 8 diff --git a/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/r04.obj b/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/r04.obj new file mode 100644 index 00000000000..56a0c40c7a9 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/r04.obj @@ -0,0 +1,32 @@ +v -0.35682209 -0.49112347 0.79465447 +v 0.35682209 -0.49112347 0.79465447 +v 0.57735027 -0.79465447 0.18759247 +v 0.00000000 -0.98224695 -0.18759247 +v -0.57735027 -0.79465447 0.18759247 +v -0.57735027 0.18759247 0.79465447 +v 0.57735027 0.18759247 0.79465447 +v 0.93417236 -0.30353100 -0.18759247 +v -0.00000000 -0.60706200 -0.79465447 +v -0.93417236 -0.30353100 -0.18759247 +v -0.93417236 0.30353100 0.18759247 +v 0.00000000 0.60706200 0.79465447 +v 0.93417236 0.30353100 0.18759247 +v 0.57735027 -0.18759247 -0.79465447 +v -0.57735027 -0.18759247 -0.79465447 +v -0.57735027 0.79465447 -0.18759247 +v 0.00000000 0.98224695 0.18759247 +v 0.57735027 0.79465447 -0.18759247 +v 0.35682209 0.49112347 -0.79465447 +v -0.35682209 0.49112347 -0.79465447 +f 1 2 7 12 6 +f 1 6 11 10 5 +f 1 5 4 3 2 +f 2 3 8 13 7 +f 3 4 9 14 8 +f 4 5 10 15 9 +f 6 12 17 16 11 +f 7 13 18 17 12 +f 8 14 19 18 13 +f 9 15 20 19 14 +f 10 11 16 20 15 +f 16 17 18 19 20 diff --git a/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/r05.obj b/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/r05.obj new file mode 100644 index 00000000000..fd013dc2506 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/r05.obj @@ -0,0 +1,32 @@ +v -0.52573111 -0.72360680 0.44721360 +v -0.85065081 0.27639320 0.44721360 +v -0.00000000 0.89442719 0.44721360 +v 0.85065081 0.27639320 0.44721360 +v 0.52573111 -0.72360680 0.44721360 +v 0.00000000 -0.89442719 -0.44721360 +v -0.85065081 -0.27639320 -0.44721360 +v -0.52573111 0.72360680 -0.44721360 +v 0.52573111 0.72360680 -0.44721360 +v 0.85065081 -0.27639320 -0.44721360 +v 0.00000000 0.00000000 1.00000000 +v -0.00000000 0.00000000 -1.00000000 +f 1 2 7 +f 1 7 6 +f 1 6 5 +f 1 5 11 +f 1 11 2 +f 2 3 8 +f 2 8 7 +f 2 11 3 +f 3 4 9 +f 3 9 8 +f 3 11 4 +f 4 5 10 +f 4 10 9 +f 4 11 5 +f 5 6 10 +f 6 7 12 +f 6 12 10 +f 7 8 12 +f 8 9 12 +f 9 10 12 diff --git a/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/readme.pdf b/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/readme.pdf Binary files differnew file mode 100644 index 00000000000..07633b0b1be --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/readme.pdf diff --git a/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/readme.txt b/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/readme.txt new file mode 100644 index 00000000000..a4df939ef7c --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/readme.txt @@ -0,0 +1,3 @@ +Put data files in obj format into this folder. +For example, dowload data from + http://mitani.cs.tsukuba.ac.jp/polyhedron/index.html diff --git a/Master/texmf-dist/scripts/ketcindy/ketcindy.conf b/Master/texmf-dist/scripts/ketcindy/ketcindy.conf new file mode 100644 index 00000000000..6b5c74511f7 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketcindy.conf @@ -0,0 +1,2 @@ +// Re-setting PathT,PathR,Pathpdf,PathM,PathAd,PathV3,PathC,Mackc +//PathT=PathThead+"pdflatex"; diff --git a/Master/texmf-dist/scripts/ketcindy/ketcindy.pl b/Master/texmf-dist/scripts/ketcindy/ketcindy.pl new file mode 100755 index 00000000000..ad71b35c2e2 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketcindy.pl @@ -0,0 +1,202 @@ +#!/usr/bin/env perl +# +# KETCindy starter script +# +# (C) 2017-2018 Norbert Preining +# Licensed under the same license terms as ketpic itself, that is GPLv3+ +# + +use strict; +$^W = 1; + +use Digest::MD5; +use File::Copy; + +my $BinaryName = "Cinderella2"; +my $TemplateFile = "template1basic.cdy"; +my $devnull = "/dev/null"; +my $systype; +if (win32()) { + $systype = "Windows"; + $devnull = "nul"; +} else { + $systype = `uname`; + chomp($systype); +} +my $HOME = ($systype eq "Windows") ? $ENV{'USERPROFILE'} : $ENV{'HOME'}; +my $workdir ="$HOME/ketcindy"; + +my $cinderella; +if ($#ARGV >= 0) { + if ($ARGV[0] eq '-c') { + $cinderella = ($ARGV[1] ? $ARGV[1] : ""); + } +} else { + $cinderella = which($BinaryName); +} + +if (! "$cinderella") { + if ($systype eq 'Darwin') { + if (-r '/Applications/Cinderella2.app/Contents/MacOS/Cinderella2') { + $cinderella = '/Applications/Cinderella2.app/Contents/MacOS/Cinderella2'; + } + } elsif ($systype eq 'Windows') { + if (-f 'c:/Program Files (x86)/Cinderella/Cinderella2.exe') { + $cinderella = 'c:/Program Files (x86)/Cinderella/Cinderella2.exe'; + } + } +} + +if (! "$cinderella") { + die "Cannot find $BinaryName!"; +} + +if ( ! -x "$cinderella" ) { + die "Program $cinderella is not executable!"; +} + +# find real path +my $realcind = win32() ? $cinderella : `realpath "$cinderella"`; +chomp($realcind); +my ($cinddir, $bn) = dirname_and_basename($realcind); + +my $plugindir = ($systype eq 'Darwin') ? "$cinddir/../PlugIns" : "$cinddir/Plugins"; + +my $plugin = "$plugindir/KetCindyPlugin.jar"; +my $dirheadplugin = "$plugindir/ketcindy.ini"; + +# find Jar +chomp(my $KetCdyJar = `kpsewhich -format=texmfscripts KetCindyPlugin.jar`); +# search for template.cdy +chomp(my $TempCdy = `kpsewhich -format=texmfscripts $TemplateFile`); +chomp(my $DirHead=`kpsewhich -format=texmfscripts ketcindy.ini`); + +if (-z "$TempCdy" || -z "$KetCdyJar") { + die "Cannot find $TemplateFile via kpsewhich, is ketpic installed?"; +} + + +if ( ! -r "$plugin" || ! -r "$dirheadplugin" ) { + print "Cinderella is *NOT* set up for KETCindy!\n"; + print "You need to copy\n"; + print " $KetCdyJar\n"; + print " $DirHead\n"; + print "into\n"; + print " $plugindir\n"; + print "\n"; + exit(1); +} + +my $myjarmd = md5digest($KetCdyJar); +my $sysjarmd = md5digest($plugin); + +if ( $myjarmd ne $sysjarmd ) { + print "The installed version of the plugin in\n"; + print " $plugin\n"; + print "differs from the version shipped in\n"; + print " $KetCdyJar\n"; + print "You might need to update the former one with the later one!\n"; +} + +# print "DEBUG workdir =$workdir=\n"; +# print "DEBUG TemplateFile =$TemplateFile=\n"; +mkdir($workdir); +copy($TempCdy, $workdir) or die "Copy failed: $!"; + +# print "Exec $cinderella $workdir/$TemplateFile\n"; +if (win32()) { + # no idea why a normal call with exec did not find the template file + my $out = `"$cinderella" "$workdir/$TemplateFile"`; +} else { + exec($cinderella, "$workdir/$TemplateFile"); +} + + +sub md5digest { + my $file = shift; + open(FILE, $file) || die "open($file) failed: $!"; + binmode(FILE); + my $out = Digest::MD5->new->addfile(*FILE)->hexdigest; + close(FILE); + return $out; +} + +# taken from TeXLive::TLUtils.pm +sub win32 { + if ($^O =~ /^MSWin/i) { + return 1; + } else { + return 0; + } +} +sub which { + my ($prog) = @_; + my @PATH; + my $PATH = getenv('PATH'); + + if (&win32) { + my @PATHEXT = split (';', getenv('PATHEXT')); + push (@PATHEXT, ''); # in case argument contains an extension + @PATH = split (';', $PATH); + for my $dir (@PATH) { + for my $ext (@PATHEXT) { + if (-f "$dir/$prog$ext") { + return "$dir/$prog$ext"; + } + } + } + + } else { # not windows + @PATH = split (':', $PATH); + for my $dir (@PATH) { + if (-x "$dir/$prog") { + return "$dir/$prog"; + } + } + } + return ""; +} +sub dirname_and_basename { + my $path=shift; + my ($share, $base) = ("", ""); + if (win32()) { + $path=~s!\\!/!g; + } + # do not try to make sense of paths ending with /.. + return (undef, undef) if $path =~ m!/\.\.$!; + if ($path=~m!/!) { # dirname("foo/bar/baz") -> "foo/bar" + # eliminate `/.' path components + while ($path =~ s!/\./!/!) {}; + # UNC path? => first split in $share = //xxx/yy and $path = /zzzz + if (win32() and $path =~ m!^(//[^/]+/[^/]+)(.*)$!) { + ($share, $path) = ($1, $2); + if ($path =~ m!^/?$!) { + $path = $share; + $base = ""; + } elsif ($path =~ m!(/.*)/(.*)!) { + $path = $share.$1; + $base = $2; + } else { + $base = $path; + $path = $share; + } + return ($path, $base); + } + # not a UNC path + $path=~m!(.*)/(.*)!; # works because of greedy matching + return ((($1 eq '') ? '/' : $1), $2); + } else { # dirname("ignore") -> "." + return (".", $path); + } +} +sub getenv { + my $envvar=shift; + my $var=$ENV{"$envvar"}; + return 0 unless (defined $var); + if (&win32) { + $var=~s!\\!/!g; # change \ -> / (required by Perl) + } + return "$var"; +} + + diff --git a/Master/texmf-dist/scripts/ketcindy/ketjava/KetCindyPlugin.jar b/Master/texmf-dist/scripts/ketcindy/ketjava/KetCindyPlugin.jar Binary files differindex 3c150e58ddb..87a04ab663c 100644 --- a/Master/texmf-dist/scripts/ketcindy/ketjava/KetCindyPlugin.jar +++ b/Master/texmf-dist/scripts/ketcindy/ketjava/KetCindyPlugin.jar diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dlogr.txt b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dlogr.txt index 7dcdd198e91..3bfe1f09635 100644 --- a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dlogr.txt +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dlogr.txt @@ -1,3 +1,53 @@ +// 20181030 +// Mkpointlist debugged (workprocess adopted) +// Parcrv3d, IntersectsgpL debugged +// Ptonseg3d changed ( for non-geo point ) +// Drawpoint3d changed ( color option ) +// 20181029 +// Mkpointlist debugged +// Subgraph change +// 20181028 +// Start3d changed ( pt,ptz removed) +// Mkpointlist, Xyzcoord changed +// 20181027 +// IntersectsgpL changed ( return=[pt,isinseg,isinplane,tseg,t,s] ) +// Parasubpt, Mainsubpt, Mainsubptlog added +// 20181026 +// IntersectsgpL changed ( option "ie" ) +// 20181017 +// Pointdata3d added (simillar to Pointdata) +// 20181015 +// Mkpointlist debugged (vlistpre ) +// Start3d slightly changed +// 20180916 +// Setangle debugged, Start3d changed ( PTEXCEPTION added) +// 20180905 +// VertexEdgeFace changed (option "vtx=geo/nogeo" added) +// 20180904 +// Color setting changed ( for KCOLOR) +// 20180816 +// Nohiddenbyfaces debugged (spaceline dissolved to segments) +// 20180815 +// Nohiddenseg,segs, byfaces debugged (Eps=10^(-2) added as option) +// 20180811 +// IntersectsgpL debugged (Reflect3point->Reflectreflectpoint3d) +// 20180809 +// Rotatepoint3d changed ( default center [0,0,0] added ) +// 20180808 +// Rotatedata3d, Translatedata3d, debugged +// Reflectdata3d, Scaledata3d added +// Scalepoint3d changed ( ratio ) +// 20180806 +// Rotatepoint3d, Translatepoint3d, Reflectpoint3d renamed from old +// Scalepoint3d added +// 20180729 +// Rotatedata3d, Reflectdata3d changed ( only these names are valid) +// 20180722 +// color localized +// 20180714 +// Nohiddenbyfaces debugged ( case where seglist is a string of a list of strings ) +// 20180712 +// Sfbdparadata,... renamed to SfbdparadataR,... // 20180614 // Setangle changed (for angle list) // 20180613 diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dr.cs b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dr.cs index ffb4798b846..c5516db2888 100644 --- a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dr.cs +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dr.cs @@ -14,10 +14,11 @@ // along with this program. If not, see <http://www.gnu.org/licenses/> // -println("ketcindylib3d(20180614) loaded"); +println("ketcindylib3d(20181030) loaded"); //help:start(); +////%Ketinit3d start//// Ketinit3d():=Ketinit3d(1); Ketinit3d(sf):=( regional(tmp); @@ -26,7 +27,8 @@ Ketinit3d(sf):=( Ketinit3d(sf,[-5,tmp-0.5,tmp-1]); ); Ketinit3d(subflg,position):=( -//help:Ketinit3d(subflg=1) +//help:Ketinit3d(); +//help:Ketinit3d(0); regional(ctr,tmp,tmp1,tmp2,tmp3,tmp4,xPos,yTh,yPh); // println("KETCindy3d V.2.3.5(2016.02.03)"); BezierNumber3=1; //15.02.28 @@ -78,7 +80,9 @@ Ketinit3d(subflg,position):=( TSIZEZ=10; ErrFlg=0; ); +////%Ketinit3d end//// +////%Start3d start//// Start3d():=Start3d([]); Start3d(ptexception):=( //help:Start3d(); @@ -140,57 +144,7 @@ Start3d(ptexception):=( ChNum=1; ); Ch=[0]; - );// 17.05.18until - if(length(VLIST)==0, // 16.06.20 - tmp=remove(allpoints(),[NE,SW,TH,FI,O,X,Y,Z]);//17.06.02 - tmp4=remove(tmp,ptexception); - forall(tmp4,pt, - tmp1=text(pt); - tmp=substring(tmp1,length(tmp1)-1,length(tmp1)); - if(tmp!="z", - tmp=parse(tmp1+"z.y"); - pt3=Xyzcoord(pt.x,pt.y,tmp); - Defvar(tmp1+"3d",pt3); - pt2=Parapt(pt3); // 16.05.28from - Defvar(tmp1+"2d",pt2); // 16.05.28until - ); - ); - , - if(isselected(NE) % isselected(SW), - tmp=remove(allpoints(),[NE,SW,TH,FI]); - tmp4=remove(tmp,ptexception); - forall(tmp4,pt, - tmp1=text(pt); - tmp=substring(tmp1,length(tmp1)-1,length(tmp1)); - if(tmp!="z", - tmp=select(VLIST,#_1==tmp1+"3d"); //17.10.07 - pt3=tmp_1_2; - tmp=tmp1+".xy=Parapt("+pt3+")_[1,2];"; - parse(tmp); -// if(SUBSCR==1, -// tmp=tmp1+"z"+".x=NE.x-SW.x+"+tmp1+".x"; -// parse(tmp); -// ); - ); - ); - , - tmp=remove(allpoints(),[NE,SW,TH,FI]); - tmp4=remove(tmp,ptexception); - forall(tmp4,pt, - tmp1=text(pt); - tmp=substring(tmp1,length(tmp1)-1,length(tmp1)); - if(tmp!="z", - tmp2=parse(tmp1+"z"); - if(isselected(pt) % isselected(tmp2), - Defvar(tmp1+"2d",pt.xy); - tmp=parse(tmp1+"z.y"); - tmp=Xyzcoord(pt.x,pt.y,tmp); - Defvar(tmp1+"3d",tmp); - ); - ); - ); - ); - ); + );// 17.05.18to if(SUBSCR==1, xmn=SW.x+NE.x-SW.x; xMx=NE.x+NE.x-SW.x; @@ -206,10 +160,13 @@ Start3d(ptexception):=( shadowc=[0,0,0,0.5]; mboxc="yellow"; //17.03.02 regional debugged SlideColorList=[letterc,boxc,boxc,boxc,shadowc,shadowc,6,1.3, letterc,mboxc,mboxc,mboxc,62,2,letterc]; - ThinDense=0.1; //17.07.01until + ThinDense=0.1; //17.07.01to Ptseg3data(ptexception); //16.08.23 + PTEXCEPTION=ptexception; //180916 ); +////%Start3d end//// +////%Setangle start//// Setangle(angL):=Setangle(ang_1,ang_2);//180614 Setangle(theta,phi):=( //16.12.24 //help:Setangle(60,30); @@ -230,22 +187,22 @@ Setangle(theta,phi):=( //16.12.24 GLIST=append(GLIST,tmp); if(length(VLIST)==0, // 16.06.20 tmp=remove(allpoints(),[NE,SW,TH,FI]); - tmp4=remove(tmp,ptexception); + tmp4=remove(tmp,PTEXCEPTION); //180916 forall(tmp4,pt, tmp1=text(pt); tmp=substring(tmp1,length(tmp1)-1,length(tmp1)); if(tmp!="z", - tmp=parse(tmp1+"z.y"); - pt3=Xyzcoord(pt.x,pt.y,tmp); + tmp=parse(tmp1+"z.xy"); //181028(2lines); + pt3=Xyzcoord(pt.xy,tmp); Defvar(tmp1+"3d",pt3); pt2=Parapt(pt3); // 16.05.28from - Defvar(tmp1+"2d",pt2); // 16.05.28until + Defvar(tmp1+"2d",pt2); // 16.05.28to ); ); , if(isselected(NE) % isselected(SW), tmp=remove(allpoints(),[NE,SW,TH,FI]); - tmp4=remove(tmp,ptexception); + tmp4=remove(tmp,PTEXCEPTION); //180916 forall(tmp4,pt, tmp1=text(pt); tmp=substring(tmp1,length(tmp1)-1,length(tmp1)); @@ -258,7 +215,7 @@ Setangle(theta,phi):=( //16.12.24 ); , tmp=remove(allpoints(),[NE,SW,TH,FI]); - tmp4=remove(tmp,ptexception); + tmp4=remove(tmp,PTEXCEPTION); //180916 forall(tmp4,pt, tmp1=text(pt); tmp=substring(tmp1,length(tmp1)-1,length(tmp1)); @@ -266,8 +223,8 @@ Setangle(theta,phi):=( //16.12.24 tmp2=parse(tmp1+"z"); if(isselected(pt) % isselected(tmp2), Defvar(tmp1+"2d",pt.xy); - tmp=parse(tmp1+"z.y"); - tmp=Xyzcoord(pt.x,pt.y,tmp); + tmp=parse(tmp1+"z.xy"); //181028(2lines) + tmp=Xyzcoord(pt.xy,tmp); Defvar(tmp1+"3d",tmp); ); ); @@ -280,9 +237,11 @@ Setangle(theta,phi):=( //16.12.24 tmp=tmp1+"="+textformat(tmp2,5); parse(tmp); ); - Ptseg3data(ptexception); + Ptseg3data(PTEXCEPTION); //180916 ); +////%Setangle end//// +////%Getangle start//// Getangle():=getangle(["Disp=y"]); //180613from Getangle(option):=( regional(tmp,tmp1,dispflg,eqL); @@ -301,10 +260,15 @@ Getangle(option):=( ); tmp; //180607 ); //180613to +////%Getangle end//// -isAngle():=Isangle(); //180517 +////%Angleselected start//// +Angleselected():=IsAngle(); //180713 +//isAngle():=Isangle(); //180517 Isangle():=isselected(TH)%isselected(FI); //180517 +////%Angleselected end//// +////%Changestyle3d start//// Changestyle3d(nameL,style):=( //help:Changestyle3d(["geoseg3d","ax3d"],["notex"]); regional(nmL,name,tmp,tmp1,tmp2); @@ -325,7 +289,9 @@ Changestyle3d(nameL,style):=( ); ); ); +////%Changestyle3d end//// +////%Dist3d start//// Dist3d(pt1):=Dist3d(pt1,[0,0,0]); Dist3d(pt1,pt2):=( //help:Dist3d(A3d,B3d); @@ -346,6 +312,7 @@ Dist3d(pt1,pt2):=( ); sqrt((p2-p1)*(p2-p1)); ); +////%Dist3d end//// Findangle(vec):=( //help:Findangle([2,1,4]); @@ -376,19 +343,24 @@ Cancoordpara(pc):=( [tmp1,tmp2,tmp3]; ); +////%Zparapt start//// Zparapt(cc):=( regional(x,y,z); x=cc_1; y=cc_2; z=cc_3; x*cos(PHI)*sin(THETA)+y*sin(PHI)*sin(THETA)+z*cos(THETA); ); +////%Zparapt end//// +////%Projcoordpara start//// Projcoordpara(cc):=( //help:Projcoordpara([3,1,2]); regional(tmp); tmp=Parapt(cc); [tmp_1,tmp_2,Zparapt(cc)]; ); +////%Projcoordpara end//// +////%Parapt start//// Parapt(pt):=( //help:Parapt([2,1,5]); regional(Xz,Yz); @@ -396,7 +368,50 @@ Parapt(pt):=( Yz=-pt_1*cos(PHI)*cos(THETA)-pt_2*sin(PHI)*cos(THETA)+pt_3*sin(THETA); [Xz,Yz]; ); +////%Parapt end//// + +///%Parasubpt start//// +Parasubpt(pt):=( //181027 + regional(mv,dp,xs); + mv=NE.x-SW.x; + dp=pi/24; + xs=-pt_1*sin(PHI+dp)+pt_2*cos(PHI+dp); + [xs+mv,pt_3]; +); +////%Parasubpt end//// + +////%Parasubptlog start//// +Parasubptlog(pt):=( //181027 + regional(dp,xs); + dp=pi/24; + xs=-pt_1*sin(PHI+dp)+pt_2*cos(PHI+dp); + [xs,pt_3]; +); +////%Parasubptlog end//// + +////%Mainsubpt3d start//// +Mainsubpt3d(pm,psv):=( //181027 + regional(Eps,mv,dp,v,x,y,z); + // when Th neq 90, psv=ps_2, else psv=ps_1 + Eps=10^(-4); + mv=NE.x-SW.x; + dp=pi/24; + if(abs(cos(THETA))>Eps, + if(length(psv)>1,v=psv_2, v=psv); + x=(v*cos(PHI)*sin(THETA)-pm_1*sin(PHI)*cos(THETA)-pm_2*cos(PHI))/cos(THETA); + y=(v*sin(PHI)*sin(THETA)+pm_1*cos(PHI)*cos(THETA)-pm_2*sin(PHI))/cos(THETA); + z=v; + , + if(length(psv)>1,v=psv_1, v=psv); + x=(pm_1*cos(PHI+dp)-(v-mv)*cos(PHI))/sin(dp); + y=(pm_1*sin(PHI+dp)-(v-mv)*sin(PHI))/sin(dp); + z=pm_2; + ); + [x,y,z]; +); +////%Mainsubpt3d end//// +////%ProjCurve start//// ProjCurve(crv):=( //help:Projcurve("sl3d1"); regional(CurveL,Curve,Eps,AnsL,Out,sp,cp,st,,ct,ii,pt, @@ -448,7 +463,9 @@ ProjCurve(crv):=( ); Out; ); +////%ProjCurve end//// +////%Projpara start//// Projpara(ptdata):=Projpara(ptdata,[]); Projpara(ptdata,optionsorg):=( //help:Projpara("sf3d1"); @@ -496,10 +513,14 @@ Projpara(ptdata,optionsorg):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name2); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if(color!=KCOLOR, //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name2); + if(color!=KCOLOR, //180904 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name2,Ltype,opcindy]); @@ -514,6 +535,7 @@ Projpara(ptdata,optionsorg):=( Out=tmp; Out; ); +////%Projpara end//// InvparaptPp(pt,pd):=( regional(Eps,fk,nfk,ph,fh,ah,bh,ak,bk,v1,v2, @@ -572,26 +594,36 @@ InvparaptPp(pt,pd):=( out; ); +////%Invparapt start//// Invparapt(pt,pd):=( regional(tmp); tmp=InvparaptPp(pt,pd); tmp_1; ); +////%Invparapt end//// -Subgraph(name,opcindy):=( - regional(tht,tmp,tmp1); - tht=THETA; THETA=pi/2; - tmp=Projpara(name3,["nodata"]); - if(length(tmp)>0, //15.08.17 - tmp=Translatedata("",[tmp],[NE.x-SW.x,0],["nodata"]); - tmp1=replace("sub"+name,"3d","2d"); - tmp=tmp1+"="+Textformat(tmp,5); - parse(tmp); - GCLIST=append(GCLIST,[tmp1,0,opcindy]); +////%Subgraph start//// +Subgraph(name3,opcindy):=( //181029 + regional(name,crvL,sub2d,color,tmp,tmp1,tmp2); + name=replace("sub"+name3,"3d","2d"); + crvL=parse(name3); + if(MeasureDepth(crvL)==1,crvL=[crvL]); + sub2d=[]; + forall(crvL,tmp1, + tmp2=[]; + forall(tmp1, + tmp2=append(tmp2,Parasubpt(#)); + ); + sub2d=append(sub2d,tmp2); ); - THETA=tht; // 15.11.03 + tmp=name+"="+Textformat(sub2d,5); + parse(tmp); + GCLIST=append(GCLIST,[name,0,opcindy]); + sub2d; ); +////%Subgraph end//// +////%Spaceline start//// Spaceline(ptlist):=Spaceline(ptlist,[]); // 16.02.22 from Spaceline(Arg1,Arg2):=( regional(name,tmp,tmp1,tmp2); @@ -667,10 +699,14 @@ Spaceline(nm,ptlistorg,optionorg):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name2); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if(color!=KCOLOR, //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name2); + if(color!=KCOLOR, //180904 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name2,Ltype,opcindy]); @@ -680,7 +716,9 @@ Spaceline(nm,ptlistorg,optionorg):=( ); ptlist; ); +////%Spaceline end//// +////%Spacecurve start//// Spacecurve(nm,funstr,variable):=Spacecurve(nm,funstr,variable,[]); Spacecurve(nm,funstr,variable,optionorg):=( //help:Spacecurve("1","[cos(t),sin(t),0.5*t]","t=[0,4*pi]",["Num=200"]); @@ -828,10 +866,14 @@ Spacecurve(nm,funstr,variable,optionorg):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name2); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if(color!=KCOLOR, //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name2); + if(color!=KCOLOR, //180904 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name2,Ltype,opcindy]); @@ -844,7 +886,9 @@ Spacecurve(nm,funstr,variable,optionorg):=( ); Out; ); +////%Spacecurve end//// +////%Partcrv3d start//// Partcrv3d(nm,pA,pB,PkLstr):=Partcrv3d(nm,pA,pB,PkLstr,[]); Partcrv3d(nm,pA,pB,PkLstr,options):=( //help:Partcrv3d("1",A,B,"sl3d1"); @@ -878,10 +922,13 @@ Partcrv3d(nm,pA,pB,PkLstr,options):=( dt1=partcrv("",p1,p2,tmp,["nodata"]); dts=partcrv("",q1,q2,"sub"+tmp,["nodata"]); dt=apply(1..length(dt1), - Xyzcoord(dt1_#_1,dt1_#_2,dts_#_2)); + Xyzcoord(dt1_#,dts_#); //181028 + ); Spaceline("-part3d"+nm,dt,options); ); +////%Partcrv3d end//// +////%Joincrvs3d( start//// Joincrvs3d(nm,plotstrL):=Joincrvs3d(nm,plotstrL,[]);//16.10.06 Joincrvs3d(nm,plotstrL,options):=( //help:Joincrvs3d("1",["bz3da1","bz3da1"]); @@ -920,15 +967,15 @@ Joincrvs3d(nm,plotstrL,options):=( pS=PtL_(length(PtL)); pQ=Qd_1; pR=Qd_(length(Qd)); - rMN=min([norm(pP-pQ),norm(pP-pR), - norm(pS-pQ),norm(pS-pR)]); - if(rMN==norm(pP-pR), + rMN=min([Norm(pP-pQ),Norm(pP-pR), + Norm(pS-pQ),Norm(pS-pR)]); + if(rMN==Norm(pP-pR), Qd=reverse(Qd); , - if(rMN==norm(pS-pQ), + if(rMN==Norm(pS-pQ), PtL=reverse(PtL); , - if(rMN==norm(pS-pR), + if(rMN==Norm(pS-pR), PtL=reverse(PtL); Qd=reverse(Qd); ); @@ -958,10 +1005,14 @@ Joincrvs3d(nm,plotstrL,options):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name2); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if(color!=KCOLOR, //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name2); + if(color!=KCOLOR, //180904 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name2,Ltype,opcindy]); @@ -974,7 +1025,9 @@ Joincrvs3d(nm,plotstrL,options):=( ); PtL; ); +////%Joincrvs3d( end//// +////%Xyzax3data start//// Xyzax3data(nm,Xrange,Yrange,Zrange):= Xyzax3data(nm,Xrange,Yrange,Zrange,[]); Xyzax3data(nm,Xrange,Yrange,Zrange,options):=( @@ -1050,10 +1103,14 @@ Xyzax3data(nm,Xrange,Yrange,Zrange,options):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name2); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if(color!=KCOLOR, //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name2); + if(color!=KCOLOR, //180904 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name2,Ltype,opcindy]); @@ -1071,12 +1128,14 @@ Xyzax3data(nm,Xrange,Yrange,Zrange,options):=( ); ); // 16.08.14until if(SUBSCR==1, // 15.02.11 - Subgraph(name3,opcindy); + Subgraph(name3,opcindy); //181029 ); ); Out; ); +////%Xyzax3data end//// +////%Xyzax3paraname start//// Xyzaxparaname(Xrange,Yrange,Zrange):= Xyzaxparaname(Xrange,Yrange,Zrange,[]); Xyzaxparaname(Xrange,Yrange,Zrange,options):=( @@ -1120,6 +1179,7 @@ Xyzaxparaname(Xrange,Yrange,Zrange,options):=( Expr(ch,"c",Zname); ); ); +////%Xyzax3paraname end//// Datalist3d():=( //help:Datalist3d(); @@ -1211,10 +1271,14 @@ Embed(nm,Pd2str,funstr,varstr,options):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name2); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if(color!=KCOLOR, //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name2); + if(color!=KCOLOR, //180904 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); if(length(Out)>0, @@ -1227,14 +1291,12 @@ Embed(nm,Pd2str,funstr,varstr,options):=( Out; ); -Rotatept3d(point,w1,w2):=Rotate3pt(point,w1,w2); -Rotatept3d(point,w1,w2,center):=Rotate3pt(point,w1,w2,center); -//help:Rotatept3d(pt3d,[0,0,1],pi/2); -//help:Rotatept3d(pt3d,[0,0,1],pi/2,[1,1,1]); -Rotate3pt(point,w1,w2):=Rotate3pt(point,w1,w2,[0,0,0]); -Rotate3pt(point,w1,w2,center):=( -//help:Rotate3pt(pt3d,[0,0,1],pi/2); -//help:Rotate3pt(pt3d,[0,0,1],pi/2,[1,1,1]); +Rotate3pt(point,w1,w2):=Rotatepoint3d(point,w1,w2,[0,0,0]); +Rotate3pt(point,w1,w2,center):=Rotatepoint3d(point,w1,w2,center); +Rotatepoint3d(point,w1,w2):=Rotatepoint3d(point,w1,w2,[0,0,0]);//180809 +Rotatepoint3d(point,w1,w2,center):=( +//help:Rotatepoint3d(pt3d,[0,0,1],pi/2); +//help:Rotatepoint3d(pt3d,[0,0,1],pi/2,[1,1,1]); regional(Eps,ct,st,v3,v1,v2,Ans,ns,PtL,num, pt,tmp,tmp1,tmp2,Retflg,x,y,z,xx,yy,zz,flg); Eps=10^(-4); @@ -1317,12 +1379,10 @@ Rotate3pt(point,w1,w2,center):=( Ans; ); -Rotatedata3d(nm,P3data,w1,w2):=Rotate3data(nm,P3data,w1,w2); -Rotatedata3d(nm,P3data,w1,w2,options):= - Rotate3data(nm,P3data,w1,w2,options); +Rotatedata3d(nm,P3data,w1,w2):=Rotatedata3d(nm,P3data,w1,w2,[]); +Rotatedata3d(nm,P3data,w1,w2,options):=( //help:Rotatedata3d("1",["sl3d1","sc3d2"],[0,0,1],pi/3); -Rotate3data(nm,P3data,w1,w2):=Rotate3data(nm,P3data,w1,w2,[]); -Rotate3data(nm,P3data,w1,w2,options):=( +//help:Rotatedata3d(options=[center,...]); regional(name3,name2,center,pdata,Pd3,Pd,Out,tmp,tmp1, Ltype,Noflg,opcindy,opstr,color); name3="rot3d"+nm; @@ -1342,10 +1402,10 @@ Rotate3data(nm,P3data,w1,w2,options):=( Out=[]; forall(Pd3,Pd, if(isstring(Pd),Pd=parse(Pd)); - if(MeasureDepth(Pd)==1,Pd=[Pd]); +// if(MeasureDepth(Pd)==1,Pd=[Pd]); Ans=[]; forall(Pd, - tmp=Rotate3pt(#,w1,w2,center); + tmp=Rotatepoint3d(#,w1,w2,center); //180729 Ans=append(Ans,tmp); ); Out=append(Out,Ans); @@ -1353,27 +1413,33 @@ Rotate3data(nm,P3data,w1,w2,options):=( Out=Flattenlist(Out); if(length(Out)==1,Out=Out_1); if(Noflg<3, - println("generate Rotate3data "+name3); + println("generate Rotatedata3d "+name3); tmp=name3+"="+textformat(Out,5); parse(tmp); tmp1=Projpara(name3,["nodata"]); tmp=name2+"="+textformat(tmp1,5); parse(tmp); - tmp=textformat(P3data,5); // 17.12.23 + tmp=Textformat(P3data,5); // 17.12.23 tmp=RSform(tmp,1); //180602 + tmp=replace(tmp,Dq,"");//180808 // tmp=replace(tmp,"[","list("); // tmp=replace(tmp,"]",")"); - tmp=name3+"=Rotate3data("+tmp+"," - +textformat(w1,5)+","+textformat(w2,5)+opstr+")"; + tmp=name3+"=Rotate3data("+tmp+","; + tmp=tmp+Textformat(w1,6)+","+Textformat(w2,6); + tmp=tmp+","+Textformat(center,6)+")";//180808 GLIST=append(GLIST,tmp); tmp=name2+"=Projpara("+name3+")"; GLIST=append(GLIST,tmp); ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); + if(color!=KCOLOR, //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); Ltype=GetLinestyle(text(Noflg)+Ltype,name2); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); + if(color!=KCOLOR, //180904 + Texcom("}");//180722 + ); , if(Noflg==1,Ltype=0); ); @@ -1385,9 +1451,9 @@ Rotate3data(nm,P3data,w1,w2,options):=( Out; ); -Translatept3d(point,w1):=Translate3pt(point,w1); -//help:Translatept3d(pt3d,[1,2,3]); -Translate3pt(point,w1):=( +Translate3pt(point,w1):=Translatepoint3d(point,w1); +Translatepoint3d(point,w1):=( +//help:Translatepoint3d(pt3d,[1,2,3]); regional(Eps,Ans,PtL,pt,num,xx,yy,zz,flg); Eps=10^(-4); if(MeasureDepth(point)>0, @@ -1414,12 +1480,9 @@ Translate3pt(point,w1):=( Ans; ); -Translatedata3d(nm,P3data,w1):=Translate3data(nm,P3data,w1); -Translatedata3d(nm,P3data,w1,options):= - Translate3data(nm,P3data,w1,options); +Translatedata3d(nm,P3data,w1):=Translatedata3d(nm,P3data,w1,[]); +Translatedata3d(nm,P3data,w1,options):=( //help:Translatedata3d("1",["sl3d1"],[1,2,3]); -Translate3data(nm,P3data,w1):=Translate3data(nm,P3data,w1,[]); -Translate3data(nm,P3data,w1,options):=( regional(name3,name2,pdata,Pd3,Pd,Out,tmp,tmp1, Ltype,Noflg,opcindy,color); name3="tra3d"+nm; @@ -1436,7 +1499,7 @@ Translate3data(nm,P3data,w1,options):=( if(MeasureDepth(Pd)==1,Pd=[Pd]); Ans=[]; forall(Pd, - tmp=Translate3pt(#,w1); + tmp=Translatepoint3d(#,w1); Ans=append(Ans,tmp); ); Out=append(Out,Ans); @@ -1444,7 +1507,7 @@ Translate3data(nm,P3data,w1,options):=( Out=Flattenlist(Out); if(length(Out)==1,Out=Out_1); if(Noflg<3, - println("generate Translate3data "+name3); + println("generate Translatedata3d "+name3); tmp=name3+"="+textformat(Out,5); parse(tmp); tmp1=Projpara(name3,["nodata"]); @@ -1452,6 +1515,7 @@ Translate3data(nm,P3data,w1,options):=( parse(tmp); tmp=textformat(P3data,5); // 17.12.23 tmp=RSform(tmp,1); // 180602 + tmp=replace(tmp,Dq,""); //180808 // tmp=text(P3data); // tmp=replace(tmp,"[","list("); // tmp=replace(tmp,"]",")"); @@ -1462,10 +1526,14 @@ Translate3data(nm,P3data,w1,options):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name2); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if(color!=KCOLOR, //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name2); + if(color!=KCOLOR, //180904 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name2,Ltype,opcindy]); @@ -1476,11 +1544,9 @@ Translate3data(nm,P3data,w1,options):=( Out; ); -Reflectpoint3d(point,vecL):=Reflect3point(point,vecL); -Reflectpt3d(point,vecL):=Reflect3pt(point,vecL); +Reflect3pt(point,vecL):=Reflectpoint3d(point,vecL); +Reflectpoint3d(point,vecL):=( //help:Reflectpoint3d(pt3d,[v1,v2,v3]); -Reflect3point(point,vecL):=Reflect3pt(point,vecL); -Reflect3pt(point,vecL):=( regional(ans,v1,v2,v3,tmp,tmp1); if(length(vecL)==1, v1=vecL_1; @@ -1504,14 +1570,174 @@ Reflect3pt(point,vecL):=( ans; ); -Xyzcoord(X,Y,z):=( +Reflectdata3d(nm,P3data,vecL):=Reflectdata3d(nm,P3data,vecL,[]); +Reflectdata3d(nm,P3data,vecL,options):=( +//help:Reflectdata3d("1",["sl3d1"],[v1,v2,v3]); +//help:Reflectdata3d("1",["sl3d1"],[v1,v2]); +//help:Reflectdata3d("1",["sl3d1"],[v1]); + regional(name3,name2,pdata,Pd3,Pd,Out,tmp,tmp1, + Ltype,Noflg,opcindy,color); + name3="ref3d"+nm; + name2="ref2d"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + color=tmp_(length(tmp)-2); + opcindy=tmp_(length(tmp)); + if(islist(P3data) & isstring(P3data_1),Pd3=P3data,Pd3=[P3data]); + Out=[]; + forall(Pd3,Pd, + if(isstring(Pd),Pd=parse(Pd)); +// if(MeasureDepth(Pd)==1,Pd=[Pd]); + Ans=[]; + forall(Pd, + tmp=Reflectpoint3d(#,vecL); + Ans=append(Ans,tmp); + ); + Out=append(Out,Ans); + ); + Out=Flattenlist(Out); + if(length(Out)==1,Out=Out_1); + if(Noflg<3, + println("generate Reflectdata3d "+name3); + tmp=name3+"="+textformat(Out,5); + parse(tmp); + tmp1=Projpara(name3,["nodata"]); + tmp=name2+"="+Textformat(tmp1,5); + parse(tmp); + tmp=Textformat(P3data,5); // 17.12.23 + tmp=RSform(tmp,1); // 180602 + tmp=replace(tmp,Dq,""); //180807 +// tmp=text(P3data); +// tmp=replace(tmp,"[","list("); +// tmp=replace(tmp,"]",")"); + tmp=name3+"=Reflect3data("+tmp; + tmp=tmp+","+RSform(Textformat(vecL,5),2)+")"; + GLIST=append(GLIST,tmp); + tmp=name2+"=Projpara("+name3+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + if(color!=KCOLOR, //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name2); + if(color!=KCOLOR, //180904 + Texcom("}");//180722 + ); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name2,Ltype,opcindy]); + if(SUBSCR==1, // 15.02.11 + Subgraph(name3,opcindy); + ); + ); + Out; +); + +// 180806 +Scale3pt(point,ratio,center):=Scalepoint3d(point,ratio,center); +Scalepoint3d(point,ratio):=Scalepoint3d(point,ratio,[0,0,0]);//180809 +Scalepoint3d(point,ratio,center):=( +//help:Scalepoint3d(A,[3,2,4]); +//help:Scalepoint3d(A,[3,2,4],[1,2,3]); + regional(ra1,ra2,ra3,X1,Y1,Z1,X2,Y2,Z2,Cx,Cy,Cz); + X1=point_1; Y1=point_2; Z1=point_3; + if(length(ratio)==1, //1808from + ra1=ratio; ra2=ratio; ra3=ratio; + , + ra1=ratio_1; ra2=ratio_2; ra3=ratio_3; + );//1808to + Cx=center_1; Cy=center_2; Cz=center_3; + X2=Cx+ra1*(X1-Cx); + Y2=Cy+ra2*(Y1-Cy); + Z2=Cz+ra3*(Z1-Cz); + [X2,Y2,Z2]; +); + +// 180808 +Scaledata3d(nm,P3data,ratio):=Scaledata3d(nm,P3data,ratio,[]); +Scaledata3d(nm,P3data,ratio,options):=( +//help:Scaledata3d("1",["sl3d1"],[v1,v2,v3]); + regional(name3,name2,pdata,Pd3,Pd,Out,tmp,tmp1, + reL,Ltype,Noflg,opcindy,color,center); + name3="ref3d"+nm; + name2="ref2d"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + reL=tmp_6; + color=tmp_(length(tmp)-2); + opcindy=tmp_(length(tmp)); + center=[0,0,0]; + if(length(reL)>0, + center=reL_1; + ); + if(islist(P3data) & isstring(P3data_1),Pd3=P3data,Pd3=[P3data]); + Out=[]; + forall(Pd3,Pd, + if(isstring(Pd),Pd=parse(Pd)); +// if(MeasureDepth(Pd)==1,Pd=[Pd]); + Ans=[]; + forall(Pd, + tmp=Scalepoint3d(#,ratio,center); + Ans=append(Ans,tmp); + ); + Out=append(Out,Ans); + ); + Out=Flattenlist(Out); + if(length(Out)==1,Out=Out_1); + if(Noflg<3, + println("generate Scaledata3d "+name3); + tmp=name3+"="+textformat(Out,5); + parse(tmp); + tmp1=Projpara(name3,["nodata"]); + tmp=name2+"="+Textformat(tmp1,5); + parse(tmp); + tmp=Textformat(P3data,5); // 17.12.23 + tmp=RSform(tmp,1); // 180602 + tmp=replace(tmp,Dq,""); //180807 +// tmp=text(P3data); +// tmp=replace(tmp,"[","list("); +// tmp=replace(tmp,"]",")"); + tmp=name3+"=Scale3data("+tmp; + tmp=tmp+","+Textformat(ratio,5); + tmp=tmp+","+Textformat(center,5)+")"; + GLIST=append(GLIST,tmp); + tmp=name2+"=Projpara("+name3+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + if(color!=KCOLOR, //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name2); + if(color!=KCOLOR, //180904 + Texcom("}");//180722 + ); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name2,Ltype,opcindy]); + if(SUBSCR==1, // 15.02.11 + Subgraph(name3,opcindy); + ); + ); + Out; +); + +////%Xyzcoord start//// +Xyzcoord(pm,ps):=Xyzcoord(pm_1,pm_2,ps); //181028from +Xyzcoord(X,Y,ps):=( //help:Xyzcoord(A.x,A.y,Az.y); - regional(Eps,x3d,y3d,z3d); - x3d=(-X*sin(PHI)*cos(THETA)-Y*cos(PHI)+z*cos(PHI)*sin(THETA))/cos(THETA); - y3d=(X*cos(PHI)*cos(THETA)-Y*sin(PHI)+z*sin(PHI)*sin(THETA))/cos(THETA); - z3d=z; - [x3d,y3d,z3d]; + regional(pt3d); + pt3d=Mainsubpt3d([X,Y],ps); + pt3d;//181028to ); +////%Xyzcoord end//// PutonCurve3d(name,pdstr):=( //help:PutonCurve3d("T","sc3d1"); @@ -1523,138 +1749,126 @@ PutonCurve3d(name,pdstr):=( tmp1=ParamonCurve(tmp_1,tmp_2,pd2str); tmp="sub"+pd2str; tmp2=PointonCurve(tmp1,tmp); - pt=append(pt,tmp2_2); - pt=Xyzcoord(pt_1,pt_2,pt_3); // 15.03.13 +// pt=append(pt,tmp2_2); //181028(2lines) + pt=Xyzcoord(pt,tmp2); // 15.03.13 tmp=name+"z.xy="+textformat(tmp2,5); parse(tmp); VLIST=select(VLIST,#_1!=name+"3d"); Defvar(name+"3d",pt); ); +////%Mkpointlist start//// Mkpointlist():=Mkpointlist([]); //16.11.12 -Mkpointlist(options):=( //16.11.12 - regional(Eps,pos,ptL,plist,ilist,plistrest, - inforest,free,pt,pt3,ptz,par,vlistpre, +Mkpointlist(options):=( //181030 + regional(Eps,pos,worklist,plist,pt,ptstr,pt3,ptz,par, + vlistpre, tmp,tmp1,tmp2,tmp3,tmp4,p1,p2,flg); Eps=10^(-4); - tmp=Finddef(NE); - free=tmp_1; pos=[NE.x+1,NE.y]; - tmp=remove(allpoints(),[NE,SW,TH,FI]); - tmp=remove(tmp,options); //16.11.12 - plist=select(tmp, - substring(text(#),length(text(#))-1,length(text(#)))!="z" - ); + worklist=Workprocess(); //181030 + plist=select(worklist,length(#_3)!=2); + plist=apply(plist,#_1); + plist=remove(plist,PTEXCEPTION); + tmp=apply(VLIST,#_1);//181029from + tmp=select(tmp,indexof(#,"3d")>0); + tmp2=apply(tmp,replace(#,"3d","")); + forall(tmp2,ptstr, + if(!contains(plist,ptstr), + tmp=select(VLIST, + (#_1==pt+"3d")%(#_1==pt+"2d")%(#_1==pt+"fix")); + VLIST=remove(VLIST,tmp); + ); + ); //181029to +// vlistpre=VLIST; //181015 if(SUBSCR==0,plist=[]); - ptL=[]; - plistrest=[]; - inforest=[]; - forall(plist,pt, + forall(plist,ptstr, + pt=parse(ptstr); inspect(pt,"ptsize",3); inspect(pt,"color",2); inspect(pt,"textsize",TSIZE); ptz=text(pt)+"z"; tmp=Finddef(pt); - if(indexof(tmp_1,free)>0, // free point - tmp=select(VLIST,#_1==text(pt)+"3d"); - if(length(tmp)==0, - tmp=pt.x+NE.x-SW.x; - Putpoint(ptz,[tmp,0],[tmp,parse(ptz+".y")]); - pt3=Xyzcoord(pt.x,pt.y,parse(text(ptz)+".y")); - Defvar(text(pt)+"3d",pt3); - Defvar(text(pt)+"fix",0); - vlistpre=VLIST; //16.08.20 - ); - flg=0; - if(isselected(pt), - if(parse(text(pt)+"fix")!=1, // 15.03.01 - tmp=pt.x+NE.x-SW.x; - Putpoint(ptz,[tmp,0],[tmp,parse(ptz+".y")]); - pt3=Xyzcoord(pt.x,pt.y,parse(text(ptz)+".y")); - VLIST=select(VLIST,#_1!=text(pt)+"3d"); - Defvar(text(pt)+"3d",pt3); - vlistpre=VLIST; //16.08.20 - flg=1; + tmp=select(VLIST,#_1==text(pt)+"3d"); + if(length(tmp)==0, + if(abs(cos(THETA))>Eps,//181028from + tmp1=Mainsubpt3d(pt.xy,0); + tmp=Parasubpt(tmp1); + Putpoint(ptz,tmp,[tmp_1,parse(ptz+".y")]); + pt3=Mainsubpt3d(pt.xy,parse(ptz+".xy")); + , + if(abs(sin(PHI))>abs(cos(PHI)), //181029from + tmp=Parasubpt([-pt.x/sin(PHI),0,pt.y]); + , + tmp=Parasubpt([0,pt.x/cos(PHI),pt.y]); ); - ); - inspect(parse(ptz),"ptsize",3); - inspect(parse(ptz),"color",3); - inspect(parse(ptz),"textsize",TSIZEZ); - if(isselected(parse(ptz)), - if(parse(ptz+"fix")!=1, // 15.03.01 - tmp=select(vlistpre,#_1==text(pt)+"3d"); //16.08.20 - pt3=tmp_1_2; - pt3_3=parse(ptz+".y"); - pt.xy=Parapt(pt3); - tmp=ptz+".x=pt.x+NE.x-SW.x"; - parse(tmp); + Putpoint(ptz,tmp,[parse(ptz+".x"),pt.y]);//181029to + pt3=Mainsubpt3d(pt.xy,parse(ptz+".xy")); + ); //181028to + Defvar(text(pt)+"3d",pt3); + Defvar(text(pt)+"fix",0); +// vlistpre=VLIST; //16.08.20 + ); + flg=0; + if(isstring(ptz),ptz=parse(ptz));//181029from + inspect(ptz,"ptsize",3); + inspect(ptz,"color",3); + inspect(ptz,"textsize",TSIZEZ);//181029to + if(isselected(pt), + if(parse(text(pt)+"fix")!=1, + tmp=select(VLIST,#_1==text(pt)+"3d"); + tmp1=tmp_1_2; + tmp2=Mainsubpt3d(pt.xy,ptz.xy); //181029 + if(Norm(tmp1-tmp2)>Eps, VLIST=select(VLIST,#_1!=text(pt)+"3d"); - Defvar(text(pt)+"3d",pt3); - flg=2; + Defvar(text(pt)+"3d",tmp2); +// vlistpre=VLIST; //16.08.20 ); + Putpoint(text(ptz),Parasubpt(tmp2)); + pt3=tmp2; + flg=1; ); - if(flg==0, - tmp=select(VLIST,#_1==text(pt)+"3d"); - if(length(tmp)>0, //17.10.07 - pt3=tmp_1_2; - pt.xy=Parapt(pt3); - tmp=ptz+".x=pt.x+NE.x-SW.x"; - parse(tmp); - ); //17.10.07 - ); - if(isselected(pt) % isselected(parse(ptz)), - drawtext(pos,text(pt3)); - ); - if(!contains(["p","q"],text(pt)), - ptL=append(ptL,pt); - ); - , - tmp=Findgeoinfo(pt); - tmp1=[parse(tmp_1),parse(tmp_2),parse(tmp_3)]; - plistrest=append(plistrest,pt); - inforest=append(inforest,tmp); - ); - ); - if(length(plistrest)>0, - tmp=Sortpointlist([plistrest,inforest]); - plist=tmp_1; - ilist=tmp_2; - forall(1..length(plist), - pt=plist_#; - ptz=text(pt)+"z"; - tmp=ilist_#; - p1=parse(tmp_3); - p2=p1+parse(tmp_2)-parse(tmp_1); - tmp1=p2-p1; - tmp2=pt-p1; - if(abs(tmp1_1)>abs(tmp1_2), - par=tmp2_1/tmp1_1; + ); + if(isselected(ptz), +// tmp=select(vlistpre,#_1==text(pt)+"3d"); //16.08.20 + tmp=select(VLIST,#_1==text(pt)+"3d"); //181030 + tmp1=tmp_1_2; + tmp2=Mainsubpt3d(pt.xy,ptz.xy); + if(Norm(tmp1-tmp2)>Eps, + if(abs(cos(THETA))>Eps, + tmp2=[tmp1_1,tmp1_2,tmp2_3]; , - par=tmp2_2/tmp1_2; - ); - tmp=ilist_#; - tmp1=parse(tmp_1+"3d"); - tmp2=parse(tmp_2+"3d"); - tmp3=parse(tmp_3+"3d"); - tmp1=(1-par)*tmp3+par*(tmp3+tmp2-tmp1); - Putpoint(ptz,[pt.x+NE.x-SW.x,tmp1_3]); - inspect(parse(ptz),"ptsize",3); - inspect(parse(ptz),"color",3); - inspect(parse(ptz),"textsize",TSIZEZ); - pt3=Xyzcoord(pt.x,pt.y,parse(text(ptz)+".y")); - VLIST=select(VLIST,#_1!=tmp1+"3d"); + ); //181028to + VLIST=select(VLIST,#_1!=text(pt)+"3d"); + Defvar(text(pt)+"3d",tmp2); + ); + Putpoint(text(ptz),Parasubpt(tmp2)); + pt3=tmp2; + flg=2; + ); + if(isselected(TH) % isselected(FI), //181029 + tmp=select(VLIST,#_1==text(pt)+"3d"); + if(length(tmp)>0, //17.10.07 + tmp1=Parapt(tmp_1_2); + Putpoint(text(pt),tmp1); //181029 + tmp2=Parasubpt(tmp_1_2);//181027(2lines) + Putpoint(text(ptz),tmp2); //181029 + flg=3; + ); //17.10.07 + ); + if(flg==0, //181030from + pt3=Mainsubpt3d(pt.xy,ptz.xy); + VLIST=select(VLIST,#_1!=text(pt)+"3d"); Defvar(text(pt)+"3d",pt3); - vlistpre=VLIST; //16.08.20 - if(isselected(pt) % isselected(parse(ptz)), - drawtext(pos,text(pt3)); - ); - if(!contains(["p","q"],text(pt)), - ptL=append(ptL,pt); - ); + ); //181030to + if(isselected(pt) % isselected(ptz), + drawtext(pos,text(pt3)); + ); + if(!contains(["p","q"],text(pt)), + ptL=append(ptL,pt); ); ); - ptL; ); +////%Mkpointlist end//// Mkseg3d():=Mkseg3d([]); Mkseg3d(options):=( @@ -1700,6 +1914,7 @@ Mkseg3d(options):=( segL; ); +////%Ptseg3data start//// Ptseg3data():=Ptseg3data([]); //help:Ptseg3data(); //help:Ptseg3data([A,B]); @@ -1732,7 +1947,9 @@ Ptseg3data(options):=( SEG3dlist=Mkseg3d(options); SEG3dlist; ); +////%Ptseg3data end//// +////%Putonseg3d start//// Putonseg3d(name,ptL):=Putonseg3d(name,ptL_1,ptL_2,[]); Putonseg3d(name,Arg1,Arg2):=( if(islist(Arg1), @@ -1750,7 +1967,11 @@ Putonseg3d(name,pt1,pt2,options):=( if(length(tmp_6)>0, par=tmp_6_1; ); - Putonseg(name,pt1,pt2,[par]); + if(ispoint(pt1), //181030from + Putonseg(name,pt1,pt2,[par]); + , + Putonseg(name,Parapt(pt1),Parapt(pt2),[par]); + ); //181030from inspect(parse(name),"ptsize",3); inspect(parse(name),"color",2); inspect(parse(name),"textsize",TSIZEZ); @@ -1758,23 +1979,33 @@ Putonseg3d(name,pt1,pt2,options):=( inspect(parse(name+"z"),"ptsize",3); inspect(parse(name+"z"),"color",3); inspect(parse(name+"z"),"textsize",TSIZEZ); - pn1=text(pt1); - pn2=text(pt2); - tmp1=replace("PTCz.y=PTAz.y+|PTC-PTA|/|PTB-PTA|*(PTBz.y-PTAz.y)","PTC",name); - tmp1=replace(tmp1,"PTA",pn1); - tmp1=replace(tmp1,"PTB",pn2); - tmp2=replace("PTCz.x=PTAz.x+|PTC-PTA|/|PTB-PTA|*(PTBz.x-PTAz.x)","PTC",name); - tmp2=replace(tmp2,"PTA",pn1); - tmp2=replace(tmp2,"PTB",pn2); - parse(tmp2); - parse(tmp1); - tmp1=parse(name+".x"); - tmp2=parse(name+".y"); - tmp3=parse(name+"z.y"); - tmp=Xyzcoord(tmp1,tmp2,tmp3); + if(ispoint(pt1), + pn1=text(pt1); + pn2=text(pt2); + tmp1=replace("PCz.xy=PAz.xy+|PC-PA|/|PB-PA|*(PBz.xy-PAz.xy)","PC",name); + tmp1=replace(tmp1,"PA",pn1); + tmp1=replace(tmp1,"PB",pn2); + parse(tmp1); + , + pn1=Textformat(Parapt(pt1),5); //181030from + pn2=Textformat(Parapt(pt2),5); + tmp1=replace("PCz.xy=PAs+Norm(PC-PAm)/Norm(PBm-PAm)*(PBs-PAs)","PC",name); + tmp1=replace(tmp1,"PAm",pn1); + tmp1=replace(tmp1,"PBm",pn2); + pn1=Textformat(Parasubpt(pt1),5); //181030from + pn2=Textformat(Parasubpt(pt2),5); + tmp1=replace(tmp1,"PAs",pn1); + tmp1=replace(tmp1,"PBs",pn2); + parse(tmp1); + ); + tmp1=parse(name+".xy"); //181028(3lines) + tmp2=parse(name+"z.xy"); + tmp=Xyzcoord(tmp1,tmp2); Defvar(name+"3d",tmp); ); +////%Putonseg3d end//// +////%Putpoint3d start//// Putpoint3d(ptslist):=Putpoint3d(ptslist,"",0); Putpoint3d(Arg1,Arg2):=( // 16.03.02 from if(islist(Arg1), @@ -1807,7 +2038,7 @@ Putpoint3d(Arg1,Arg2,Arg3):=( if(islist(fixstr),tmp=fixstr_1,tmp=fixstr); tmp=Toupper(tmp); if(tmp!="FIX", - tmp=Xyzcoord(tmp2.x,tmp2.y,parse(tmp1+"z").y); + tmp=Xyzcoord(tmp2.xy,parse(tmp1+"z.xy")); //181028 , tmp=pt3; ); @@ -1836,7 +2067,9 @@ Putpoint3d(Arg1,Arg2,Arg3):=( Fixpoint3d(ptslist); ); ); +////%Putpoint3d end//// +////%Fixpoint3d start//// Fixpoint3d(ptlist):=( // help:Fixpoint3d(["O",[0,0,0],"X",[1,0,0]]); regional(name,pt3,pt2,tmp,tmp1,tmp2); @@ -1855,7 +2088,9 @@ Fixpoint3d(ptlist):=( parse(tmp); ); ); +////%Fixpoint3d end//// +////%Perppt start//// Perppt(name,ptstr,pLstr):=Putperp(name,ptstr,pLstr,"draw"); Perppt(name,ptstr,pLstr,option):=Putperp(name,ptstr,pLstr,option); Putperp(name,ptstr,pLstr):=Putperp(name,ptstr,pLstr,"put"); @@ -1913,12 +2148,15 @@ Putperp(name,ptstr,pLstr,option):=( ); out; ); +////%Perppt end//// +////%Perpplane start//// Perpplane(name,ptstr,nvec):= Perpplane(name,ptstr,nvec,"draw"); Perpplane(name,ptstr,nstr,option):=( //help:Perpplane("A-B","P",[1,3,2]); -//help:Perpplane("A-B","P",[0,0,1,0]); +//help:Perpplane("A-B","P",[1,3,2]); +//help:Perpplane(option=["Put/Draw"]); regional(Eps,nvec,sgstr,pP,v1,v2,v3, th,ph,pA,pB,tmp,tmp1,tmp2); Eps=10^(-4); @@ -1948,20 +2186,42 @@ Perpplane(name,ptstr,nstr,option):=( ); [pA,pB]; ); +////%Perpplane end//// -Drawpoint3d(pt3):=( +////%Drawpoint3d start//// +Drawpoint3d(pt3):=Drawpoint3d(pt3,["Color=green"]); +Drawpoint3d(pt3,options):=( //help:Drawpoint3d(pt3d); +//help:Drawpoint3d(options=["Color=(green)"]); regional(ptL,tmp,tmp1,tmp2); + tmp=Divoptions(options); + opcindy=tmp_(length(tmp)); if(MeasureDepth(pt3)==0,ptL=[pt3],ptL=pt3); forall(ptL, - tmp=parapt(#); - draw(tmp_(1..2)); + tmp="draw("+Textformat(Parapt(#),6)+opcindy+")"; + parse(tmp); if(SUBSCR==1, - draw([tmp_1+NE.x-SW.x, #_3]); + tmp="draw("+Textformat(Parasubpt(#),6)+opcindy+")"; + parse(tmp); ); ); ); +////%Drawpoint3d end//// + +////%Pointdata3d start//// +Pointdata3d(nm,pt3):=Pointdata3d(nm,pt3,[]);//181017from +Pointdata3d(nm,pt3,options):=( //181017from +//help:Pointdata3d("1",pt3dlist,options); + regional(pt3L,pt2L,tmp); + if(MeasureDepth(pt3)==0,pt3L=[pt3],pt3L=pt3); + pt2L=apply(pt3L,Parapt(#)); + Pointdata("2d"+nm,pt2L,append(options,"Disp=n")); + tmp="pt3d"+nm+"="+format(pt3L,6); + parse(tmp); +); //181017to +////%Pointdata3d end//// +////%Putaxes3d start//// Putaxes3d(size):=( //help:Putaxes3d(5); //help:Putaxes3d([1,2,3]); @@ -1974,17 +2234,46 @@ Putaxes3d(size):=( // Fixpoint3d(["O",[0,0,0]]); // Fixpoint3d(["X",[sL_1,0,0],"Y",[0,sL_2,0],"Z",[0,0,sL_3]]);//17.06.02funtil ); +////%Putaxes3d end//// +////%IntersectsgpL start//// IntersectsgpL(name,sgstr,pLstr):= - IntersectsgpL(name,sgstr,pLstr,"draw"); -IntersectsgpL(name,sgstr,pLstr,option):=( + IntersectsgpL(name,sgstr,pLstr,["Draw=ie"]); +IntersectsgpL(name,sgstr,pLstr,optionsorg):=( //help:IntersectsgpL("R","P-Q","A-B-C"); -//help:IntersectsgpL("R","P-Q","A-B-C","put"); -//// help:IntersectsgpL("","P-Q","A-B-C","none"); -//help:IntersectsgpL("",[p1,p2],[p3,p4,p5],"draw"); - regional(opstr,out,pP,pQ,pA,pB,pC,pH,pK,pR,tseg,tt,ss,Eps,flg, - nvec,tmp,tmp1,tmp2,tmp3,tmp4); - if(islist(option),opstr=option_1,opstr=option); +//help:IntersectsgpL("",[p1,p2],[p3,p4,p5]); +//help:IntersectsgpL(options=["draw(put)","ie"+pointoptions]); + regional(options,strL,ptflg,out,pP,pQ,pA,pB,pC,pH,pK,pR,tseg,tt,ss,Eps, + flg,nvec,tmp,tmp1,tmp2,tmp3,tmp4); + options=optionsorg; //181026from + tmp1=""; + if(isstring(options), + tmp1=options; + options=[]; + ); + options=remove(options,["draw","Draw"]); + tmp=Divoptions(options); + strL=tmp_7; + if(length(tmp1)>0, + strL=append(strL,tmp1); + ); + ptflg=["D","ie"]; + forall(strL, + tmp=Toupper(substring(#,0,1)); + if(tmp=="P", + ptflg_1="P"; + ); + if((tmp=="I")%(tmp=="E"), + if(length(#)==1, + ptflg_2=#+"e"; + , + ptflg_2=#; + ); + ); + ); + options=remove(options,strL); + tmp=select(options,substring(#,0,1)=="C"); + if(length(tmp)==0,options=append(options,"Color=green"));//181026to Eps=10^(-4); flg=0; if(!isstring(sgstr), // 15.05.29 @@ -2015,8 +2304,8 @@ IntersectsgpL(name,sgstr,pLstr,option):=( ); nvec=Crossprod(pB-pA,pC-pA); if(abs(Dotprod(nvec,pQ-pP))>Eps, - pH=(Reflect3point(pP,[pA,pB,pC])+pP)/2; - pK=(Reflect3point(pQ,[pA,pB,pC])+pQ)/2; + pH=(Reflectpoint3d(pP,[pA,pB,pC])+pP)/2; //180811(2lines) + pK=(Reflectpoint3d(pQ,[pA,pB,pC])+pQ)/2; tmp1=pP-pH; tmp2=tmp1+pK-pQ; tmp=select(tmp2,abs(#)==max(apply(tmp2,abs(#)))); @@ -2024,14 +2313,6 @@ IntersectsgpL(name,sgstr,pLstr,option):=( tmp=tmp_1; tseg=tmp1_tmp/tmp2_tmp; pR=(1-tseg)*pH+tseg*pK; - tmp=substring(opstr,0,1); - if(Toupper(tmp)=="P", - Putpoint3d([name,pR]); - Fixpoint3d([name,pR]); - ); - if(Toupper(tmp)=="D", - Drawpoint3d(pR); - ); tmp=Dotprod(pB-pA,pC-pA); tmp1=Dotprod(pB-pA,pB-pA); tmp2=Dotprod(pC-pA,pC-pA); @@ -2039,15 +2320,30 @@ IntersectsgpL(name,sgstr,pLstr,option):=( tmp4=Dotprod(pR-pA,pC-pA); ss=-(tmp*tmp4-tmp3*tmp2)/(tmp1*tmp2-tmp^2); tt=(tmp1*tmp4-tmp*tmp3)/(tmp1*tmp2-tmp^2); - out=[pR,tseg,ss,tt]; - , - if(Toupper(substring(opstr,0,1))!="N", - println(" "+sgstr+","+pLstr+" are parallel"); + tmp1=(tseg>-Eps)&(tseg<1+Eps); //181027from + tmp2=(ss>-Eps)&(ss<1+Eps)&(tt>-Eps)&(tt<1+Eps)&(ss+tt<1+Eps);//181029 + out=[pR,tmp1,tmp2,tseg,ss,tt]; //181027to + tmp=ptflg_2; + tmp1=(tmp1)%(substring(tmp,0,1)=="e"); //181025from + tmp2=(tmp2)%(substring(tmp,1,2)=="e"); + if(tmp1&tmp2, + if(ptflg_1=="P", //181025 + Putpoint3d([name,pR]); + Fixpoint3d([name,pR]); + , + Pointdata3d(name,pR,options); + ); +// println(" pt"+name+" data:"+format(out,5)); + , +// println("pt"+name+" data:"+format(out,5)); ); - out=[]; + , + println(" "+sgstr+" and "+pLstr+" may be parallel");//181025to + out=[[],false,false]; //181029 ); out; ); +////%IntersectsgpL end//// Bezier3d(nm,ptctrlist):=Bezier3(nm,ptctrlist); Bezier3d(nm,Ag1,Ag2):=Bezier3(nm,Ag1,Ag2); @@ -2459,10 +2755,10 @@ VertexandEdge(nm,vfnL,options):=VertexEdgeFace(nm,vfnL,options); VertexEdgeFace(nm,vfnL):=VertexEdgeFace(nm,vfnL,[]); // 16.02.10 //help:VertexEdgeFace("1",[vL,fnL]); //help:VertexEdgeFace("1",["A","B","C"]); -//help:VertexEdgeFace(options=["Pt=fix","Edg=geo"]); +//help:VertexEdgeFace(options=["Pt=fix","Vtx=geo","Edg=geo"]); VertexEdgeFace(nm,vfnLorg,optionorg):=( regional(name3,namev,namee,namef,vfnL,options,Noflg,eqL,strL, - vL,eL,enL,face,edge,vtx,vname,fixflg,edgflg,tmp,tmp1,tmp2); + vL,eL,enL,face,edge,vtx,vname,fixflg,vtxflg, edgflg,tmp,tmp1,tmp2); name3="phvef"+nm; namev="phv3d"+nm; namee="phe3d"+nm; @@ -2480,6 +2776,7 @@ VertexEdgeFace(nm,vfnLorg,optionorg):=( eqL=tmp_5; strL=tmp_7; fixflg=1; + vtxflg=1; //180905 edgflg=1; forall(eqL, tmp1=Toupper(substring(#,0,1)); @@ -2489,6 +2786,10 @@ VertexEdgeFace(nm,vfnLorg,optionorg):=( if(tmp2=="FREE", fixflg=0); options=remove(options,[#]); ); + if(tmp1=="V", //180905from + if(substring(tmp2,0,1)=="N", vtxflg=0); + options=remove(options,[#]); + ); //180905to if(tmp1=="E", if(substring(tmp2,0,1)=="N", edgflg=0); options=remove(options,[#]); @@ -2512,9 +2813,19 @@ VertexEdgeFace(nm,vfnLorg,optionorg):=( // parse(tmp); , vname="v"+text(#); - if(fixflg==1, - Putpoint3d(["v"+text(#),vtx],"fix"); - ); + if(vtxflg==1, //180905 + if(fixflg==1, + Putpoint3d([vname,vtx],"fix"); + ); + , //180905from + tmp=vname+"3d="+format(vtx,6); + parse(tmp); + Defvar(vname+"3d",parse(vname+"3d")); + tmp=vname+"2d=Parapt("+vname+"3d)"; + parse(tmp); + Defvar(vname+"2d",parse(vname+"2d")); + drawtext(parse(vname+"2d"),vname); + ); //180905to ); vL=append(vL,vname); // 16.02.10 until ); @@ -2706,24 +3017,34 @@ Phparadata(nm,nmvf,vfL,options):=( ); ); -Nohiddenseg(seg,rng,triang):=( +Nohiddenseg(seg,rng,triang,Eps):=( // help:Nohiddenseg("1",seg1,[0,1],["v1","v2","v3"]); - regional(Eps,pA3,pB3,pC3,pA,pB,pC,sg1,sg2,ss1,ss2,parL,flgL,flg1,flg2, - veB,veC,sgnoh,sghid,added,tristr,tmp,tmp1,tmp2,tmp3,tmp4,tmp5); - Eps=10^(-4); + regional(pA3,pB3,pC3,pA,pB,pC,sg1,sg2,ss1,ss2,parL,flgL,flg1,flg2, + veB,veC,sgnoh,sghid,added,tmp,tmp1,tmp2,tmp3,tmp4,tmp5); +// Eps=10^(-2);//180815 sgnoh=[0,1]; - pA3=if(isstring(triang_1),parse(triang_1+"3d"),triang_1); //16.06.19 + pA3=triang_1; //180815from + if(isstring(pA3), + if(indexof(pA3,"3d")==0,pA3=pA3+"3d"); + pA3=parse(pA3); + ); + pB3=triang_2; + if(isstring(pB3), + if(indexof(pB3,"3d")==0,pB3=pB3+"3d"); + pB3=parse(pB3); + ); + pC3=triang_3; + if(isstring(pC3), + if(indexof(pC3,"3d")==0,pC3=pC3+"3d"); + pC3=parse(pC3); + ); //180815to pA=Parapt(pA3); - pB3=if(isstring(triang_2),parse(triang_2+"3d"),triang_2); //16.06.19 pB=Parapt(pB3); - pC3=if(isstring(triang_3),parse(triang_3+"3d"),triang_3); //16.06.19 pC=Parapt(pC3); sg1=seg_1+rng_1*(seg_2-seg_1); sg2=seg_1+rng_2*(seg_2-seg_1); ss1=Parapt(sg1); ss2=Parapt(sg2); - tristr=replace(text(triang),",","-"); - tristr=substring(tristr,1,length(tristr)-1); if(|ss2-ss1|>Eps & abs(Crossprod(pB-pA,pC-pA))>Eps, tmp=IntersectcrvsPp([ss1,ss2],[pA,pB,pC,pA]); parL=apply(tmp,#_2-1); @@ -2736,7 +3057,7 @@ Nohiddenseg(seg,rng,triang):=( ); tmp1=Crossprod(pB3-pA3,pC3-pA3); if(abs(Dotprod(tmp1,sg2-sg1))>Eps, - tmp=IntersectsgpL("",[sg1,sg2],tristr,["nodisp"]); + tmp=IntersectsgpL("",[sg1,sg2],[pA3,pB3,pC3],["nodisp"]);//180815 if(tmp_2>-Eps & tmp_2<1+Eps, if(tmp_3>-Eps & tmp_4>-Eps & tmp_3+tmp_4<1+Eps, tmp1=select(parL,abs(tmp_2-#)<Eps); @@ -2752,7 +3073,7 @@ Nohiddenseg(seg,rng,triang):=( tmp=Projcoordpara(tmp1); tmp_3=tmp_3+1; tmp2=Cancoordpara(tmp); - tmp=IntersectsgpL("",[tmp1,tmp2],tristr,["nodisp"]); + tmp=IntersectsgpL("",[tmp1,tmp2],[pA3,pB3,pC3],["nodisp"]);//180815 tmp1=Projcoordpara(tmp1); tmp2=Projcoordpara(tmp_1); flg1=0; @@ -2829,9 +3150,9 @@ Nohiddenseg(seg,rng,triang):=( sgnoh; ); -Nohiddensegs(seg,range,faceno,vtxL):=( - regional(Eps,rng,face,vtx,out,ra,rb,tmp,tmp1,tmp2); - Eps=10^(-4); +Nohiddensegs(seg,range,faceno,vtxL,Eps):=( + regional(rng,face,vtx,out,ra,rb,tmp,tmp1,tmp2); +// Eps=10^(-2); face=apply(faceno,vtxL_#); // 16.02.10 rng=range; out=rng; @@ -2840,7 +3161,7 @@ Nohiddensegs(seg,range,faceno,vtxL):=( forall(1..(length(rng)/2), tmp=[rng_(2*#-1),rng_(2*#)]; out=remove(out,tmp); - tmp2=Nohiddenseg(seg,tmp,tmp1); + tmp2=Nohiddenseg(seg,tmp,tmp1,Eps); if(length(tmp2)>0, out=remove(out,tmp); out=concat(out,tmp2); @@ -2898,19 +3219,49 @@ Nohiddenbyfaces(nm,Arg1,Arg2,Arg3):=( ); Nohiddenbyfaces(nm,segstr,facestr,options,optionsh); // 16.02.21 ); -Nohiddenbyfaces(nm,segstr,facestr,optionorg,optionsh):=( +Nohiddenbyfaces(nm,segstr,Arg1,Arg2,Arg3):=( //180815from + regional(facestr,faceL,vtxL,options,optionsh); + if(isstring(Arg1), + facestr=Arg1; + options=Arg2; + optionsh=Arg3; + if(substring(facestr,0,3)=="phf", + faceL=parse(facestr); + tmp=replace(facestr,"phf","phv"); + tmp=parse(tmp); + vtxL=apply(tmp,replace(#,"3d","")); + + , + faceL=parse(facestr); + ); + , + faceL=Arg1; + vtxL=Arg2; + options=Arg3; + optionsh=[]; + ); + Nohiddenbyfaces(nm,segstr,faceL,vtxL,options,optionsh); +); +Nohiddenbyfaces(nm,segstr,faceL,vtxL,optionorg,optionsh):=( //help:Nohiddenbyfaces("1","phf3d1"); //help:Nohiddenbyfaces("1","ax3d","phf3d1"); -//help:Nohiddenbyfaces(options1=["dr"]); +//help:Nohiddenbyfaces("1","ax3d",phf3d1,phv3d1); +//help:Nohiddenbyfaces(options1=["dr","Eps=10^(-2)"]); //help:Nohiddenbyfaces(options2=["do"]); - regional(Eps,namen,nameh,options,segL,faceL,vtxL,rng,seg,face, - flg,ctr,tmp,tmp1,tmp2,Ltype,Noflg,eqL,opstr,opcindy,frnL,frhL); - Eps=10^(-4); + regional(Eps,namen,nameh,options,segL,rng,seg,face, + ctr,tmp,tmp1,tmp2,Ltype,Noflg,eqL,color,opstr,opcindy,frnL,frhL); + Eps=10^(-2); namen="frn"+nm; nameh="frh"+nm; if(isstring(segstr), -// segL=parse(segstr); - segL=[segstr]; // 16.08.19 + tmp=parse(segstr);//180714from + if(islist(tmp), + if(isstring(tmp_1), + segL=tmp; + , + segL=[segstr]; + ); + );//180714to , segL=segstr; ); @@ -2930,59 +3281,42 @@ Nohiddenbyfaces(nm,segstr,facestr,optionorg,optionsh):=( segL=apply(segL,parse(#)); ); ); - segL=Flattenlist(segL); - flg=0; - if(isstring(facestr), - if(substring(facestr,0,3)=="phf", // 16.08.19from - faceL=parse(facestr); - tmp=replace(facestr,"phf","phv"); // 16.02.10 from - tmp=parse(tmp); - vtxL=apply(tmp,replace(#,"3d","")); // 16.02.10 until - flg=1; - , - faceL=parse(facestr); - ); - ); - if(flg==0, - if(length(faceL)==2, // 16.08.19until - vtxL=facestr_1; - faceL=facestr_2; - , - vtxL=facestr; - faceL=[1..length(vtxL)]; + tmp1=Flattenlist(segL); //180816from + segL=[]; + forall(tmp1,tmp2, + forall(1..(length(tmp2)-1), + segL=append(segL,[tmp2_#,tmp2_(#+1)]); ); - ); -// Hidden=""; + ); //180816from options=optionorg; tmp=Divoptions(options); Ltype=tmp_1; Noflg=tmp_2; eqL=tmp_5; + color=tmp_(length(tmp)-2); opstr=tmp_(length(tmp)-1); opcindy=tmp_(length(tmp)); -// forall(eqL, -// tmp=indexof(#,"="); -// tmp1=Toupper(substring(#,0,1)); -// tmp2=substring(#,tmp,length(#)); -// if(tmp1=="H", -// Hidden=tmp2; -// ); -// ); - + forall(eqL, //180815from + tmp=Strsplit(#,"="); + tmp1=Toupper(tmp_1); + if(substring(tmp1,0,3)=="EPS", + Eps=parse(tmp_2); + options=remove(options,[#]); + ); + );//180815to ctr=1; frnL=[]; frhL=[]; forall(segL,seg, rng=[0,1]; forall(faceL,face, - rng=Nohiddensegs(seg,rng,face,vtxL); + rng=Nohiddensegs(seg,rng,face,vtxL,Eps); ); forall(1..length(rng)/2, tmp=rng_(2*#-1); tmp1=seg_1+tmp*(seg_2-seg_1); tmp=rng_(2*#); tmp2=seg_1+tmp*(seg_2-seg_1); -// tmp=remove(options,eqL); tmp=append(options,"Msg=nodisp"); // 15.06.22 Spaceline("-"+namen+"n"+text(ctr),[tmp1,tmp2],tmp); frnL=append(frnL,namen+"n"+text(ctr)+"3d"); @@ -3007,7 +3341,9 @@ Nohiddenbyfaces(nm,segstr,facestr,optionorg,optionsh):=( tmp1=seg_1+tmp*(seg_2-seg_1); tmp=rng_(2*#); tmp2=seg_1+tmp*(seg_2-seg_1); - if(length(optionsh)>0,tmp=optionsh,tmp=["do"]); + tmp=select(optionsh,indexof(#,"=")>0); //180815from + tmp=remove(optionsh,tmp); + if(length(tmp)==0,tmp=append(optionsh,"do")); //180815to tmp=append(tmp,"Msg=nodisp"); // 15.06.22 Spaceline("-"+nameh+"n"+text(ctr),[tmp1,tmp2],tmp); frhL=append(frhL,nameh+"n"+text(ctr)+"3d"); @@ -3297,13 +3633,13 @@ Sf3data(nm,funstr,var1org,var2org,optionorg):=( [sfdtuL,sfdtvL]; ); -Sfbdparadata(nm,fd):= - Sfbdparadata(nm,fd,[],["nodisp"]); -Sfbdparadata(nm,fd,options):= - Sfbdparadata(nm,fd,options,["nodisp"]); -Sfbdparadata(nm,fdorg,optionorg,optionsh):=( -//help:Sfbdparadata("1",Fd); -//help:Sfbdparadata(options2=["Wait=60",division(c(50,50)),Eps1(0.01), Eps2(0.05)]); +SfbdparadataR(nm,fd):= + SfbdparadataR(nm,fd,[],["nodisp"]); +SfbdparadataR(nm,fd,options):= + SfbdparadataR(nm,fd,options,["nodisp"]); +SfbdparadataR(nm,fdorg,optionorg,optionsh):=( +//help:SfbdparadataR("1",Fd); +//help:SfbdparadataR(options2=["Wait=60",division(c(50,50)),Eps1(0.01), Eps2(0.05)]); regional(fd,options,name3,name3h,waiting, eqL,reL,strL,fname,tmp,tmp1,tmp2,flg,wflg); tmp=ConvertFdtoC(fdorg);//180430(2lines) @@ -3402,13 +3738,13 @@ Addpoints(ptlist):=( ADDPOINT; ); -Crvsfparadata(nm,crv,sf,fd):= - Crvsfparadata(nm,crv,sf,fd,[],["nodisp"]); -Crvsfparadata(nm,crv,sf,fd,options):= - Crvsfparadata(nm,crv,sf,fd,options,["nodisp"]); -Crvsfparadata(nm,crvstr,sfstr,fdorg,optionorg,optionsh):=( -//help:Crvsfparadata("1","ax3d","sfbd3d1",fd); -//help:Crvsfparadata(options2=[division(c(50,50)),Eps1(0.01), Eps2(0.05)]); +CrvsfparadataR(nm,crv,sf,fd):= + CrvsfparadataR(nm,crv,sf,fd,[],["nodisp"]); +CrvsfparadataR(nm,crv,sf,fd,options):= + CrvsfparadataR(nm,crv,sf,fd,options,["nodisp"]); +CrvsfparadataR(nm,crvstr,sfstr,fdorg,optionorg,optionsh):=( +//help:CrvsfparadataR("1","ax3d","sfbd3d1",fd); +//help:CrvsfparadataR(options2=[division(c(50,50)),Eps1(0.01), Eps2(0.05)]); regional(gd,out,fd,options,name3,name3h, eqL,reL,strL,fname,rfname,waiting,tmp,tmp1,tmp2,tmp3,flg,wflg); tmp=replace(crvstr,"3d","2d"); @@ -3477,7 +3813,7 @@ Crvsfparadata(nm,crvstr,sfstr,fdorg,optionorg,optionsh):=( reL=Rsform(reL); tmp=append(tmp,reL); ); - tmp1=[DqDq(fname),DqDq(name3),name3,DqDq(name3h),name3h]; + tmp1=[Dqq(fname),Dqq(name3),name3,Dqq(name3h),name3h]; cmdL=concat(cmdL,[ name3+"=Crvsfparadata",tmp, name3h+"=CRVSFHIDDENDATA",[], @@ -3506,13 +3842,13 @@ Crvsfparadata(nm,crvstr,sfstr,fdorg,optionorg,optionsh):=( ); ); -Crv3onsfparadata(nm,crv3d,sf,fd):= - Crvs3onfparadata(nm,crv3d,sf,fd,[],["nodisp"]); -Crv3onsfparadata(nm,crv3d,sf,fd,options):= - Crv3onsfparadata(nm,crv3d,sf,fd,options,["nodisp"]); -Crv3onsfparadata(nm,crv3dstr,sfstr,fdorg,optionorg,optionsh):=( -//help:Crv3onsfparadata("1","sc1","sfbd3d1",fd); -//help:Crv3onsfparadata(options2=[division(c(50,50)),Eps1(0.01), Eps2(0.05)]); +Crv3onsfparadataR(nm,crv3d,sf,fd):= + Crvs3onfparadataR(nm,crv3d,sf,fd,[],["nodisp"]); +Crv3onsfparadataR(nm,crv3d,sf,fd,options):= + Crv3onsfparadataR(nm,crv3d,sf,fd,options,["nodisp"]); +Crv3onsfparadataR(nm,crv3dstr,sfstr,fdorg,optionorg,optionsh):=( +//help:Crv3onsfparadataR("1","sc1","sfbd3d1",fd); +//help:Crv3onsfparadataR(options2=[division(c(50,50)),Eps1(0.01), Eps2(0.05)]); regional(gd,out,fd,options,name3,name3h, eqL,reL,strL,fname,rfname,waiting,tmp,tmp1,tmp2,tmp3,flg,wflg); tmp1=replace(crv3dstr,"3d","2d"); @@ -3608,13 +3944,13 @@ Crv3onsfparadata(nm,crv3dstr,sfstr,fdorg,optionorg,optionsh):=( ); ); -Crv2onsfparadata(nm,crv2d,sf,fd):= - Crvs2onfparadata(nm,crv2d,sf,fd,[],["nodisp"]); -Crv2onsfparadata(nm,crv2d,sf,fd,options):= - Crv2onsfparadata(nm,crv2d,sf,fd,options,["nodisp"]); -Crv2onsfparadata(nm,crv2dstr,sfstr,fdorg,optionorg,optionsh):=( -//help:Crv2onsfparadata("1","pa1","sfbd3d1",fd); -//help:Crv2onsfparadata(options2=[division(c(50,50)),Eps1(0.01), Eps2(0.05)]); +Crv2onsfparadataR(nm,crv2d,sf,fd):= + Crvs2onfparadataR(nm,crv2d,sf,fd,[],["nodisp"]); +Crv2onsfparadataR(nm,crv2d,sf,fd,options):= + Crv2onsfparadataR(nm,crv2d,sf,fd,options,["nodisp"]); +Crv2onsfparadataR(nm,crv2dstr,sfstr,fdorg,optionorg,optionsh):=( +//help:Crv2onsfparadataR("1","pa1","sfbd3d1",fd); +//help:Crv2onsfparadataR(options2=[division(c(50,50)),Eps1(0.01), Eps2(0.05)]); regional(gd,out,fd,options,name3,name3h, eqL,reL,strL,fname,rfname,waiting,tmp,tmp1,tmp2,tmp3,flg,wflg); Changestyle(crv2dstr,["nodisp"]); @@ -3711,13 +4047,13 @@ Crv2onsfparadata(nm,crv2dstr,sfstr,fdorg,optionorg,optionsh):=( ); ); -Wireparadata(nm,sf,wr1,wr2,fd):= - Wireparadata(nm,sf,fd,wr1,wr2,[],["nodisp"]); -Wireparadata(nm,sf,fd,wr1,wr2,options):= - Wireparadata(nm,sf,fd,wr1,wr2,options,["nodisp"]); -Wireparadata(nm,sfstr,fdorg,wr1,wr2,optionorg,optionsh):=( -//help:Wireparadata("1","sfbd3d1",fd,5,5); -//help:Wireparadata(options2=[division(c(50,50)),Eps1(0.01), Eps2(0.05)]); +WireparadataR(nm,sf,wr1,wr2,fd):= + WireparadataR(nm,sf,fd,wr1,wr2,[],["nodisp"]); +WireparadataR(nm,sf,fd,wr1,wr2,options):= + WireparadataR(nm,sf,fd,wr1,wr2,options,["nodisp"]); +WireparadataR(nm,sfstr,fdorg,wr1,wr2,optionorg,optionsh):=( +//help:WireparadataR("1","sfbd3d1",fd,5,5); +//help:WireparadataR(options2=[division(c(50,50)),Eps1(0.01), Eps2(0.05)]); regional(fd,options,name3,name3h,outreg, eqL,reL,strL,fname,rfname,waiting,tmp,tmp1,tmp2,flg,wflg); name3="wire3d"+nm; @@ -3814,18 +4150,18 @@ Wireparadata(nm,sfstr,fdorg,wr1,wr2,optionorg,optionsh):=( ); ); -Intersectcrvsf(nm,crv,fd):=Intersectcrvsf(nm,crv,fd,"",[]); -Intersectcrvsf(nm,crv,fd,Arg):=( +IntersectcrvsfR(nm,crv,fd):=Intersectcrvsf(nm,crv,fd,"",[]); +IntersectcrvsfR(nm,crv,fd,Arg):=( if(isstring(Arg), - Intersectcrvsf(nm,crv,fd,Arg,[]); + IntersectcrvsfR(nm,crv,fd,Arg,[]); , - Intersectcrvsf(nm,crv,fd,"",Arg); + IntersectcrvsfR(nm,crv,fd,"",Arg); ); ); -Intersectcrvsf(nm,crvstr,fdorg,bdyeq,optionorg):=( -//help:Intersectcrvsf("1",curve,fd); -//help:Intersectcrvsf("1",curve,fd,curveequation); -//help:Intersectcrvsf(options=[Np([50,50]),Eps(0.01)]); +IntersectcrvsfR(nm,crvstr,fdorg,bdyeq,optionorg):=( +//help:IntersectcrvsfR("1",curve,fd); +//help:IntersectcrvsfR("1",curve,fd,curveequation); +//help:IntersectcrvsfR(options=[Np([50,50]),Eps(0.01)]); regional(name,crv,fd,options,reL,fname,crvfname,argR, waiting,tmp,tmp1,tmp2,flg,wflg,pts); name="crvsf"+nm; name="crvsf"+nm; @@ -3904,13 +4240,13 @@ Intersectcrvsf(nm,crvstr,fdorg,bdyeq,optionorg):=( parse(name); ); -Sfcutparadata(nm,eqstr,sf,fd):= - Sfcutparadata(nm,eqstr,sf,fd,[]); -Sfcutparadata(nm,eqstr,sf,fd,options):= - Sfcutparadata(nm,eqstr,sf,fd,options,["nodisp"]); -Sfcutparadata(nm,eqstrorg,sf,fdorg,optionorg,optionsh):=( -//help:Sfcutparadata("1","x+y+z=1","sfbd3d1",fd); -//help:Sfcutparadata(options2=[Division(c(50,50)),Eps1(0.01), Eps2(0.05)]); +SfcutparadataR(nm,eqstr,sf,fd):= + SfcutparadataR(nm,eqstr,sf,fd,[]); +SfcutparadataR(nm,eqstr,sf,fd,options):= + SfcutparadataR(nm,eqstr,sf,fd,options,["nodisp"]); +SfcutparadataR(nm,eqstrorg,sf,fdorg,optionorg,optionsh):=( +//help:SfcutparadataR("1","x+y+z=1","sfbd3d1",fd); +//help:SfcutparadataR(options2=[Division(c(50,50)),Eps1(0.01), Eps2(0.05)]); regional(gd,out,fd,options,name3,name3h,eqstr, eqL,reL,strL,fname,rfname,waiting,tmp,tmp1,tmp2,tmp3,flg,wflg); tmp=Strsplit(eqstrorg,"="); @@ -3969,7 +4305,7 @@ Sfcutparadata(nm,eqstrorg,sf,fdorg,optionorg,optionsh):=( reL=Rsform(reL); tmp=append(tmp,reL); ); - tmp1=[DqDq(fname),DqDq(name3),name3,DqDq(name3h),name3h]; + tmp1=[Dqq(fname),Dqq(name3),name3,Dqq(name3h),name3h]; tmp2=replace(rfname,".txt",".Rdata"); cmdL=concat(cmdL,[ "print",[Dqq("sfcut"+nm)], //18.02.22 @@ -4009,7 +4345,6 @@ Skeletonparadata(nm,pltdata1,pltdata2):=Skeletondatacindy(nm,pltdata1,pltdata2); Skeletonparadata(nm,pltdata1org,pltdata2org,options):= Skeletondatacindy(nm,pltdata1org,pltdata2org,options); - ////////////// new skeleton 2018.01.04 not completed and slow//////////////// Skeletondatacindy(nm):=Skeletondatacindy(nm,[]); @@ -4079,9 +4414,13 @@ Skeletondatacindy(nm,pltdata1org,pltdata2org,options):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); + if(color!=KCOLOR, //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); Ltype=GetLinestyle(text(Noflg)+Ltype,name2); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); + if(color!=KCOLOR, //180904 + Texcom("}");//180722 + ); , if(Noflg==1,Ltype=0); ); @@ -4262,7 +4601,7 @@ Skeletondatacindy(nm,pltdata1org,pltdata2org,options):=( forall(1..(length(Data)),jj, Gd=Data_jj; if((length(Gd)>1) - & (norm(Ptcrv(1,Gd)-Ptcrv(2,Gd))>Eps), + & (Norm(Ptcrv(1,Gd)-Ptcrv(2,Gd))>Eps), PtD=[]; forall(1..(length(Gd)), tmp=Gd_#; @@ -4360,12 +4699,12 @@ Makeskeletondata(Obj2L,Plt2L,R0,Eps2):=( tmp=Plt2_(nn1+1); ptb=tmp_(1..2); zb=tmp_3; - if(norm(pta-ptb)<Eps, + if(Norm(pta-ptb)<Eps, contflg=1; ); ); if(contflg==0, - t1=norm(pta-pt)/norm(pta-ptb); + t1=Norm(pta-pt)/Norm(pta-ptb); z1=(1-t1)*za+t1*zb; tmp=Dmat_(Dind_ii_1..Dind_ii_2); tmp1=tmp_nn2; @@ -4374,12 +4713,12 @@ Makeskeletondata(Obj2L,Plt2L,R0,Eps2):=( tmp2=tmp_(nn2+1); ptb=tmp2_(1..2); zb=tmp2_3; - if(norm(pta-ptb)<Eps, + if(Norm(pta-ptb)<Eps, contflg=1; ); ); if(contflg==0, - t2=norm(pta-pt)/norm(pta-ptb); + t2=Norm(pta-pt)/Norm(pta-ptb); z2=(1-t2)*za+t2*zb; if(z1<z2-Eps2, if(length(ClipL)==0, @@ -4396,7 +4735,7 @@ Makeskeletondata(Obj2L,Plt2L,R0,Eps2):=( tmp1=pt1_2-pt1_1; tmp2=ptb-pta; tmp3=Dotprod(tmp1,tmp2); - tmp3=tmp3/norm(tmp1)/norm(tmp2); + tmp3=tmp3/Norm(tmp1)/Norm(tmp2); tmp=1-0.5*tmp3^2; tmp1=concat(pt,[nn1,t1,R0/tmp]); ClipL=append(ClipL,tmp1); @@ -4424,7 +4763,7 @@ Makeskeletondata(Obj2L,Plt2L,R0,Eps2):=( contflg=0; if(breakflg==0, ptq=PointonCurve(jj,pt1); - if(norm(pt-ptq)<Rr, + if(Norm(pt-ptq)<Rr, contflg=1; ); if(contflg==0, @@ -4442,7 +4781,7 @@ Makeskeletondata(Obj2L,Plt2L,R0,Eps2):=( forall(1..10, hh=hh*0.5; ptq=PointonCurve(t1+hh,pt1); - if(norm(pt-ptq)<Rr, + if(Norm(pt-ptq)<Rr, t2=t2-hh; , t1=t1+hh; @@ -4456,7 +4795,7 @@ Makeskeletondata(Obj2L,Plt2L,R0,Eps2):=( contflg=0; if(breakflg==0, ptq=PointonCurve(jj,pt1); - if(norm(pt-ptq)<Rr, + if(Norm(pt-ptq)<Rr, contflg=1; ); if(contflg==0, @@ -4474,7 +4813,7 @@ Makeskeletondata(Obj2L,Plt2L,R0,Eps2):=( forall(1..10, hh=hh*0.5; ptq=PointonCurve(t1+hh,pt1); - if(norm(pt-ptq)<Rr, + if(Norm(pt-ptq)<Rr, t1=t1+hh; , t2=t2-hh; diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic1logr.txt b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic1logr.txt index 4f23caa52b0..921167a0311 100644 --- a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic1logr.txt +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic1logr.txt @@ -1,3 +1,94 @@ +// 20181030 +// Drawprocess,Workprocess changed (dispflg added) +// 20181026 +// Findarea changed ( default of length=1) +// 20181020 +// if(color!=KCOLOR => if((Noflg==0)&(color!=KCOLOR) +// Setscaling,... ([SCALEX,SCALEY]) +// 20181018 +// Arrowheaddata,Arrowhead, Arrowdata changed (let pcrd be default ) +// Setscaling moved from basic2 +// 20181017 +// Ketinit,Changesetting changed (.ketcindy.conf and ketcindy.conf) +// 20181016 +// Setwindow debugged (Pcrd removed) +// 20181013 +// FindareaO, Findarea changed ( case of a curve with line segment) +// Pointdata changed ( Size option ) +// 20181005 +// Hatchdata changed (option "Max=[1st,2nd]", second=total+restof1st) +// 20181003 +// Hatchdata changed (option "Out=","Max=" added. "Out=" is for HatchdataR ) +// Hatchdata debugged (case of multiple points) +// 20181001 +// Ketinit changed ( Ketinit(work) for workdirectory ) +// 20180929 +// Shade changed ("En=y" option added) +// 20180928 +// Paramplot changed (case of stationary point, name -option) +// Polarplot added +// Divoptions changed (color in case of scalar*list) +// 20180913 +// Chengesetting, Ketinit changed (getname() used) +// 20180908 +// Ketinit changed (SlideMargin added) +// 20180904 +// Color setting changed ( for KCOLOR) +// 20180902 +// Arrowhead changed ( head trimmed if Inwindow==false ) +// 20180817 +// Ketinit changed (GPACK added) +// Plotdata debugged ( Exc ) +// 20180801 +// Framedata changed ( Option "corner"("center") added to call Framedata2) +// 20180723 +// Nearestptcrv changed ( for geometric point ) +// Paramoncurve(pP,Gdata) changed (for geometric point) +// 20180722 +// color localized +// Findarea changed (FindareaP,FindareaO) +//20180720 +// Derivative, Tangentplot changed ( ch option added, coping with case of no interesects) +//20180719 +// Listplot,Arrowdata changed ("Cutend"option added) +// Derivative, Tangentplot changed ( Oshima's formula used ) +//20180718 +// Derivative chnaged (for plotdata) +// Tangentplot added +//20180717 +// Enclosing debugged ( min => min+Eps0) +// Makehatch debugged (case where same point ) +// Hatchdata debugged ( "s",... ) +//20180716 +// Enclosing debugged ( selection of KL) +//20180714 +// Setfiles changed ( OCNAME added ) +//20180713 +// Enclosing debugged (for Lineplot : distance of pts added ) +//20180711 +// Listplot,Pointdata changed (color localized ) +// Ptselected ( =Isptselected ) +//20180708 +// Integrate changed (Integratefn (o)) +// Polygonplot changed ( putpoint only in case ispoint(B), Geo) +//20180707 +// Enclosing changed (epspara=1) +//20180706 +// Enclosing changed (Enclosing2 => Enclosing) +// Isptselected added +// Hatchdata changed (Interval > *2 ) +// Enclosing debugged +//20180705 +// Arrowhead debugged ( color ) +// Paramark debugged (Bname ) +//20180704 +// Drawsegmark debugged ( color option) +//20180624 +// Ovaldata debugged ( case where Rc= 0) +//20180619 +// Hatchdata debugged ( ns..ne=>ns..ne-1, near point removed ) +//20180618 +// Setfiles,Setparent,Changework changed (for null string) //20180613 // Shade changed ( name, pointlist supported, Com2nd("before")) // Shade debugged (color,opcindy) diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic1r.cs b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic1r.cs index 9dcb76c6d09..d466f9fe530 100644 --- a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic1r.cs +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic1r.cs @@ -9,14 +9,14 @@ // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. -// +// f // You should have received a copy of the GNU General Public License // along with this program. If not, see <http://www.gnu.org/licenses/> // -println("KeTCindy V.3.2.1(20180615)"); +println("KeTCindy V.3.2.2(20181030)"); println(ketjavaversion()); -println("ketcindylibbasic1(20180613) loaded"); +println("ketcindylibbasic1(20181030) loaded"); //help:start(); @@ -37,11 +37,19 @@ println("ketcindylibbasic1(20180613) loaded"); Ch=[0]; ChNum=1; -Ketinit():=Ketinit(1); -//help:Ketinit(); -Ketinit(sy):=Ketinit(sy,[-5,5],[-5,5]); -Ketinit(sy,rangex,rangey):=( - regional(pt,tmp,tmp1,tmp2,letterc,boxc,shadowc,mboxc); +////%Ketinit start//// +Ketinit():=Ketinit("fig",1,[-5,5],[-5,5]); //181001 +Ketinit(Arg):=(//181001from + if(isstring(Arg), + Ketinit(Arg,1,[-5,5],[-5,5]); + , + Ketinit("fig",Arg,[-5,5],[-5,5]); + ); +); +Ketinit(work,sy,rangex,rangey):=(//181001to + //help:Ketinit(); + //help:Ketinit(""); + regional(pt,tmp,tmp1,tmp2,letterc,boxc,shadowc,mboxc); PenThickInit=8; ULEN="1cm"; MEMORI=0.05;//18.01.15from @@ -58,7 +66,7 @@ Ketinit(sy,rangex,rangey):=( TenSizeInit=0.02; TenSize=TenSizeInit; YaSize=1; YaAngle=18; YaPosition=1; - YaThick=1; YaStyle='tf'; + YaThick=1; YaStyle="tf"; KETPICCOUNT=1; KCOLOR=[0,0,0]; GLIST=[]; @@ -84,6 +92,7 @@ Ketinit(sy,rangex,rangey):=( OutFileLIst=[]; // 15.10.22 FigPdfList=[]; // 16.04.08 ADDPACK=[]; // 16.05.16 + GPACK="tpic"; //180817 ErrFlag=0; setdirectory(Dirwork); if(!isstring(Fhead), // 17.10.13from, 17.11.12 @@ -109,11 +118,10 @@ Ketinit(sy,rangex,rangey):=( if(substring(Dircdy,0,1)==pathsep(), Dircdy=substring(Dircdy,1,length(Dircdy)); ); -// Changesetting([gethome(), gethome()+"\Desktop","C:"]); //180405 - , -// Changesetting([gethome(),gethome()+"/Desktop"]); ); - Changework(Dircdy+pathsep()+"fig"); //180329to + Changesetting(Homehead+pathsep()+getname()); //180913 + Changesetting(Dircdy); //181017 + Changework(Dircdy+pathsep()+work); //180329to,181001 Fnametex=Fhead+".tex"; FnameR=Fhead+".r"; FnamebodyR=Fhead+"body.r"; @@ -153,6 +161,7 @@ Ketinit(sy,rangex,rangey):=( shadowc=[0,0,0,0.5]; mboxc="yellow"; //17.03.02 regional debugged SlideColorList=[letterc,boxc,boxc,boxc,shadowc,shadowc,6,1.3, letterc,mboxc,mboxc,mboxc,62,2,letterc]; + SlideMargin=[0,0]; //180908 ThinDense=0.1;//17.01.08 if(indexof(PathS,"-5.")>0,//17.12.03from LibnameS=Dirlib+pathsep()+"ketpicsciL5"; @@ -163,29 +172,28 @@ Ketinit(sy,rangex,rangey):=( LibnameS=replace(LibnameS,"ketpic","ketpic2e"); );//17.12.03until ); +////%Ketinit end//// -Changesetting(dirL):=( //180329 - regional(fname,tmp1,flg); - fname="changesetting.txt"; - tmp1=apply(dirL,#+pathsep()+"ketcindy"); - tmp1=prepend(Dircdy,tmp1); - flg=0; - forall(tmp1, - if(flg==0, - if(isexists(#,fname), - setdirectory(#); - import(fname); - println(fname+" imported from "+#); - flg=1; - ); +////%Changesetting start//// +Changesetting(dir):=( //181017 + regional(fname); + fname="ketcindychange.txt"; + if(!isexists(dir,fname), + if(dir==Dircdy, + fname="ketcindy.conf"; + , + fname=".ketcindy.conf"; ); ); - if(flg==0, - println(fname+" not exists in "+text(tmp1)); - println(" Put "+fname+" in one of folders above"); + if(isexists(dir,fname), + println("read "+fname+" in "+dir); + setdirectory(dir); + import(fname); ); -); +); //181017to +////%Changesetting end//// +////%Cindyname start//// Cindyname():=Getcdyname(); Cdyname():=Getcdyname(); Getcdyname():=( //17.12.27 @@ -194,7 +202,9 @@ Getcdyname():=( //17.12.27 out=text(curkernel()); out=replace(out,".cdy",""); ); +////%Cindyname end//// +////%Setwindow start//// Setwindow():=Setwindow("Msg=yes"); Setwindow(str):=( regional(tmp,tmp1,tmp2,msg); @@ -229,31 +239,56 @@ Setwindow(xrange,yrange):=( XMAX=xrange_2; YMIN=yrange_1; YMAX=yrange_2; - Putpoint("SW",Pcrd([XMIN,YMIN]));//17.05.30 - Putpoint("NE",Pcrd([XMAX,YMAX]));//17.05.30 + Putpoint("SW",[XMIN,YMIN]);//181016 + Putpoint("NE",[XMAX,YMAX]);//181016 // Ketinit(); ); +////%Setwindow end//// +////%Setfiles start//// +Setfiles():=Setfiles(""); //180618 Setfiles(file):=( // 17.01.16 //help:Setfiles(file); + if(length(file)>0, //180618 Fhead=file; Fnametex=Fhead+".tex"; FnameR=Fhead+".r"; //17.10.14 FnamebodyR=Fhead+"body.sce"; Fnameout=Fhead+".txt"; + OCNAME=Fhead; //180714 for obj + , + println("Fhead="+Dqq(Fhead)); //180618 + ); ); +////%Setfiles end//// +////%Setparent start//// +Setparent():=Setparent(""); Setparent(file):=( // 17.11.27 //help:Setparent(file); + if(length(file)>0, //180618 Texparent=file; + , + if(isstring(Texparent), //180618from + println("Texparent="+Dqq(Texparent)); + , + println("Texparent not defined"); + ); + ); //180618to ); +////%Setparent end//// +////%Dqq start//// Dqq(str):=DqDq(str); //18.02.11 +////%Dqq end//// +////%DqDq start//// DqDq(str):=( //help(Dqq("ab"); => Dq+"ab"+Dq) unicode("0022")+str+unicode("0022"); ); +////%DqDq end//// +////%Tab2list start//// Tab2list(dtstr):=Tab2list(dtstr,[]); Tab2list(dtstrorg,options):=( //help:Tab2list(datastr); @@ -317,12 +352,16 @@ Tab2list(dtstrorg,options):=( ); out; ); +////%Tab2list end//// +////%Columnlist start//// Columnlist(dt,list):=( // 16.09.04 //help:Columnlist(dt,1..3); apply(dt,#_list); ); +////%Columnlist end//// +////%Dispmat start//// Dispmat(dt):=( // 16.09.16 //help:Dispmat(dt); regional(htm,crm,lfm,row,tmp,tmp1,tmp2); @@ -346,7 +385,9 @@ Dispmat(dt):=( // 16.09.16 print(tmp2); println(); ); +////%Dispmat end//// +////%Sep1000 start//// Sep1000(va):=( //17.07.18 //help:Sep1000(1344555); //help:Sep1000([12456,55567]); @@ -366,9 +407,11 @@ Sep1000(va):=( //17.07.18 ); out; ); +////%Sep1000 end//// -factorial(n):=( -//help:factorial(5); +////%Factorial start//// +Factorial(n):=( +//help:Factorial(5); regional(out); out=1; forall(1..n, @@ -376,9 +419,11 @@ factorial(n):=( ); out; ); +////%Factorial end//// -norm(v1):=( // 16.09.01 -//help:norm([2,1,3]); +////%Norm start//// +Norm(v1):=( // 16.09.01 +//help:Norm([2,1,3]); regional(out,tmp,tmp1,tmp2); out=0; forall(1..(length(v1)), @@ -387,11 +432,13 @@ norm(v1):=( // 16.09.01 out=sqrt(out); out; ); -norm(v1,v2):=( - norm(v2-v1); +Norm(v1,v2):=( + Norm(v2-v1); ); +////%Norm end//// // 16.03.28 +////%Removespace start//// Removespace(str):=( //help:Removespace(" a b c "); regional(tmp,flg,out); @@ -418,7 +465,9 @@ Removespace(str):=( ); out=substring(out,0,tmp); ); +////%Removespace end//// +////%Indexall start//// Indexall(str,key):=( regional(rest,out,flg,tmp,tmp1,); out=[]; @@ -438,8 +487,11 @@ Indexall(str,key):=( ); out; ); +////%Indexall end//// +////%Strsplit start//// Strsplit(str,key):=( //180505 +//help:Strsplit(string,"="); regional(start,out,tmp1,tmp2); tmp1=Indexall(str,key); out=[]; start=0; @@ -450,8 +502,12 @@ Strsplit(str,key):=( //180505 out=append(out,substring(str,start,length(str))); out; ); +////%Strsplit end//// +////%Parlevel start//// Parlevel(str):=Bracket(str); // 16.05.22from +////%Parlevel end//// +////%Bracket start//// Bracket(str):=Bracket(str,"()"); Bracket(str,br):=( //help:Bracket(string,"()"); @@ -475,7 +531,9 @@ Bracket(str,br):=( ); out; ); +////%Bracket end//// +////%Pardiagram start//// Pardiagram(str):=Pardiagram(str,[20]); Pardiagram(str,options):=( //help:Pardiagram(exprstr); @@ -573,12 +631,15 @@ Pardiagram(str,options):=( ); out; ); +////%Pardiagram end//// +////%Changework start//// +Changework():=Changework(""); //180618 Changework(dirorg):=Changework(dirorg,["Sub=y"]); Changework(dirorg,options):=( //16.10.21 //help:Changework(directory); //help:Changework(Dircdy+"fig"); -//help:Changework(options=["Sub=y"]); +//help:Changework(options=["Sub=n"(not to make folder fig]); regional(dir,subdir,tmp,,eqL,makesub); tmp=Divoptions(options); eqL=tmp_5; //180605from @@ -607,9 +668,14 @@ Changework(dirorg,options):=( //16.10.21 dir=substring(dir,0,tmp-1); ); //17.11.24until if(dir=="" % !isexists(dir,""), - println("Directory "+dir+" not exist, so set to "+Dircdy);//180604(2lines) - Dirwork=Dircdy; - ErrFlag=-1; + if(dir=="", //180618from + println("Dirwork="+Dqq(Dirwork)); + , + println("Directory "+dir+" not exist, so "+Dqq(Dirwork)+" not changed"); + ); //180618to +// println("Directory "+dir+" not exist, so set to "+Dircdy);//180604(2lines) +// Dirwork=Dircdy; +// ErrFlag=-1; , if(length(subdir)>0, //180605 if(makesub==1,//180606from @@ -629,7 +695,9 @@ Changework(dirorg,options):=( //16.10.21 ); ); ); +////%Changework end//// +////%Changestyle start//// Changestyle(nameL,style):=( //help:Changestyle(["sgAB"],["da"]); regional(nmL,name,Ltype,Ltypeorg,Noflg,color,opcindy,tmp); @@ -648,9 +716,13 @@ Changestyle(nameL,style):=( (indexof(#,"("+name)==0)%(indexof(#,"Shade")>0)); // 15.05.23,16.12.13 if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("}");//180722 + ); , if(Noflg==1,Ltype=0); ); @@ -659,7 +731,9 @@ Changestyle(nameL,style):=( ); ); ); +////%Changestyle end//// +////%Op start//// Op(n,object):=( // 16.05.25 //help:Op(4,[1,2,3,4]); //help:Op(3,"abcd"); @@ -673,7 +747,27 @@ Op(n,object):=( // 16.05.25 ); out; ); +////%Op end//// + +////%Ptselected start//// +Ptselected():=Isptselected(allpoints());//180711(2lines) +Ptselected(ptlist):=Isptselected(ptlist); +Isptselected():=Isptselected(allpoints()); //180706 +Isptselected(ptlist):=( +//help:Ptselected(); +//help:Isptselected(); + regional(flg); + flg=0; + forall(ptlist, + if(flg==0, + if(isselected(#),flg=1); + ); + ); + if(flg==0,false,true); +); +////%Ptselected end//// +////%Finddef start//// Finddef(G):=( regional(def,tmp,tmp1,tmp2,tmp3); if(isstring(G),tmp=parse(G),tmp=G); @@ -694,7 +788,9 @@ Finddef(G):=( ); tmp; ); +////%Finddef end//// +////%Findgeoinfo start//// Findgeoinfo(geo):=( regional(out,tmp,tmp1,tmp2); tmp=Finddef(geo); @@ -721,7 +817,9 @@ Findgeoinfo(geo):=( ); out; ); +////%Findgeoinfo end//// +////%Dependgeo start//// Dependgeo(geo):=( regional(tmp,tmp1,tmp2,out); tmp=Finddef(geo); @@ -743,13 +841,30 @@ Dependgeo(geo):=( ); out; ); +////%Dependgeo end//// -Workprocess():=Workprocess(300); -Workprocess(nn):=Drawprocess(nn); -Drawprocess():=Drawprocess(300); -Drawprocess(nn):=( +////%Workprocess start//// +Workprocess():=Drawprocess(300,["Disp=n"]); //181030 +Workprocess(nn):=( +//help:Workprocess(); + Drawprocess(nn,["Disp=n"]); +); +////%Workprocess end//// +////%Drawprocess start//// +Drawprocess():=Drawprocess(300,["Disp=y"]); +Drawprocess(nn):=Drawprocess(nn,["Disp=y"]); +Drawprocess(nn,options):=( //help:Workprocess(); - regional(All,added,remain,out,flg,tmp,tmp1,tmp2); + regional(All,added,remain,out,flg,dispflg,eqL,tmp,tmp1,tmp2); + tmp=Divoptions(options); //181030from + eqL=tmp_5; + dispflg="Y"; + forall(eqL, + tmp=Strsplit(#,"="); + tmp1=Toupper(substring(tmp_1,0,1)); + tmp2=Toupper(substring(tmp_2,0,1)); + if(tmp1=="D",dispflg=tmp2); + ); //181030to tmp=remove(allpoints(),[NE,SW,TH,FI]); tmp1=select(tmp, substring(text(#),length(text(#))-1,length(text(#)))!="z"); @@ -769,13 +884,22 @@ Drawprocess(nn):=( if(length(remain)==0,flg=1); ); ); - println("Process of drawing"); + if(dispflg=="Y", + println("Process of drawing"); + ); + tmp1=[];//181030from forall(out, - println(Dependgeo(parse(#))); + tmp=Dependgeo(parse(#)); + tmp1=append(tmp1,tmp); + if(dispflg=="Y", + println(Dependgeo(parse(#))); + ); ); - out; + tmp1;//181030to ); +////%Drawprocess end//// +////%Sortpointlist start//// Sortpointlist(list):=( regional(plist,ilist,jj,kk,flg,p1,p2,in1,in2, tmp,tmp1,tmp2,out); @@ -809,7 +933,9 @@ Sortpointlist(list):=( ); out; ); +////%Sortpointlist end//// +////%Toupper start//// Toupper(str):=( //help:Toupper("Abc"); regional(alphabet,out,tmp,tmp1); @@ -826,7 +952,9 @@ Toupper(str):=( ); out; ); +////%Toupper end//// +////%Textformat start//// Textformat(value,dig):=( //help:Textformat(2/3,4); //help:Textformat([gr1,gr2],5); @@ -852,7 +980,9 @@ Textformat(value,dig):=( ); tmp1; ); +////%Textformat end//// +////%Sprintf start//// Sprintf(value,dig):=( //help:Sprintf(5.1,4); regional(vv,tmp,tmp1); @@ -871,6 +1001,7 @@ Sprintf(value,dig):=( ); vv; ); +////%Sprintf end//// Assign(str):=( // old regional(out); @@ -882,6 +1013,7 @@ Assign(str):=( // old out; ); +////%Assign start//// Assign(funstr,vrL):=( regional(nn,out,tmp,tmp1); nn=length(vrL)/2; @@ -935,7 +1067,9 @@ Assign(funstr,varname,rep):=( funstr=tmp2+funstr; funstr; ); +////%Assign end//// +////%MeasureDepth start//// MeasureDepth(list):=( regional(tmp,tmp1,Depth,Flg); Flg=0; @@ -962,7 +1096,9 @@ MeasureDepth(list):=( );//180501 Depth; ); +////%MeasureDepth end//// +////%Flattenlist start//// Flattenlist(pltlist):=( //help:Flattenlist([[2,3],[[1,2],[5,6]]]); regional(Out,nn,Dt,ii,tmp,flg); @@ -984,10 +1120,13 @@ Flattenlist(pltlist):=( ); Out; ); +////%Flattenlist end//// +////%Divoptions start//// Divoptions(options):=( //help:Divoptions(options); - regional(Ltype,Noflg,Inflg,Outflg,eqL,realL,strL,color,opstr,opcindy,flg,tmp,tmp1,tmp2); + regional(Ltype,Noflg,Inflg,Outflg,eqL,realL,strL,color,opstr,opcindy,flg, + tmp,tmp1,tmp2); Ltype="dr"; // 2015.01.13 Noflg=0; Inflg=0; @@ -1013,7 +1152,7 @@ Divoptions(options):=( tmp1=Toupper(tmp_1); tmp2=tmp_2; if(tmp1=="COLOR", - if(substring(tmp2,0,1)=="[", + if(indexof(tmp2,"[")>0, //180928 tmp1=parse(tmp2); color=tmp1; if(length(tmp1)==4, @@ -1095,7 +1234,9 @@ Divoptions(options):=( ); [Ltype,Noflg,Inflg,Outflg,eqL,realL,strL,color,opstr,opcindy]; ); +////%Divoptions end//// +////%Dotprod start//// Dotprod(vec1,vec2):=( //help:Dotprod(vec1,vec2); regional(v1,v2,tmp); @@ -1103,7 +1244,9 @@ Dotprod(vec1,vec2):=( if(ispoint(vec2),v2=vec2.xy,v2=vec2); v1*v2; ); +////%Dotprod end//// +////%Crossprod start//// Crossprod(a,b):=( //help:Crossprod(vec1,vec2); regional(tmp1,tmp2,tmp3,Out); @@ -1117,35 +1260,45 @@ Crossprod(a,b):=( ); Out; ); +////%Crossprod end//// +////%Ptstart start//// Ptstart(Fig):=( //help:Ptstart("gr1"); regional(tmp); if(isstring(Fig),tmp=parse(Fig),tmp=Fig); // 16.01.21 tmp_1; ); +////%Ptstart end//// +////%Ptend start//// Ptend(Fig):=( //help:Ptend("gr1"); regional(tmp); if(isstring(Fig),tmp=parse(Fig),tmp=Fig); tmp_(length(tmp)); // 15.04.12 ); +////%Ptend end//// +////%Numptcrv start//// Numptcrv(Fig):=( //help:Numptcrv("gr1"); regional(tmp); if(isstring(Fig),tmp=parse(Fig),tmp=Fig); // 15.12.23 length(tmp); ); +////%Numptcrv end//// +////%Ptcrv start//// Ptcrv(Num,Fig):=( //help:Ptcrv(10,"gr1"); regional(tmp); if(isstring(Fig),tmp=parse(Fig),tmp=Fig); tmp_Num; ); +////%Ptcrv end//// +////%Invert start//// Invert(Fig):=( //help:Invert("gr1"); regional(tmp); @@ -1160,15 +1313,21 @@ Invert(nm,Fig,options):=( tmp=Invert(Fig); Listplot(name,tmp,options); );// until 16.01.27 - -Paramoncrv(pP,Gdata):=( - regional(Tmp,PtL); +////%Invert end//// + +////%Paramoncrv start//// +Paramoncrv(pP,Gdata):=Paramoncurve(pP,Gdata);//180723 +////%Paramoncrv end//// +////%ParamonCurve start//// +ParamonCurve(point,Gdata):=( +//help:ParamonCurve(A,"gr1");//180723(3lines) + regional(Tmp,PtL,pP); + if(ispoint(point),pP=point.xy,pP=point); // Eps=10^(-8); if(isstring(Gdata),PtL=parse(Gdata),PtL=Gdata); Tmp=Nearestpt(pP,PtL); Tmp_2; ); - ParamonCurve(pP,nN,plist):=( //help:ParamonCurve(A,10,"gr1"); regional(PtL,Out,Pa,Pb,vV,vW,sS); @@ -1187,8 +1346,12 @@ ParamonCurve(pP,nN,plist):=( ); Out; ); +////%ParamonCurve end//// +////%Pointoncrv start//// Pointoncrv(tT,PtL):=PointonCurve(tT,PtL); +////%Pointoncrv end//// +////%PointonCurve start//// PointonCurve(tTorg,Gdata):=( //help:PointonCurve(20.5,"gr1"); regional(tT,Out,Eps,nN,sS,Pa,Pb,PtL); @@ -1208,7 +1371,9 @@ PointonCurve(tTorg,Gdata):=( ); Out; ); +////%PointonCurve end//// +////%Koutenseg start//// Koutenseg(pA,pB,pC,pD):=Koutenseg(pA,pB,pC,pD,[]); Koutenseg(pA,pB,pC,pD,options):=( regional(Eps0,Eps,Eps2,pV,Sv2,Out,pP,pQ,Flg,p1,p2,q1,q2, @@ -1318,9 +1483,11 @@ Koutenseg(pA,pB,pC,pD,options):=( ); Out; ); +////%Koutenseg end//// ///////// Start of old Intersect //////////// +////%IntersectcrvsPp start//// IntersectcrvsPp(Gr1,Gr2):=IntersectcrvsPp(Gr1,Gr2,[]); IntersectcrvsPp(Gr1,Gr2,options):=( //help:IntersectcrvsPp("gr1","pa1"); @@ -1465,7 +1632,9 @@ IntersectcrvsPp(Gr1,Gr2,options):=( ); // 15.04.06 until Out; ); +////%IntersectcrvsPp end//// +////%Intersectcrvs start//// Intersectcrvs(Gr1,Gr2):=Intersectcrvs(Gr1,Gr2,[]); //help:Intersectcrvs("gr1","pa1"); Intersectcrvs(Gr1,Gr2,options):=( @@ -1473,10 +1642,13 @@ Intersectcrvs(Gr1,Gr2,options):=( tmp1=IntersectcrvsPp(Gr1,Gr2,options); apply(tmp1,#_1); ); +////%Intersectcrvs end//// + ///////// End of old Intersect //////////// /////////// Start of new Intersect ////////////// +////%Intersectline start//// Intersectline(p1,v1,p2,v2):=( regional(Eps,d,dt,ds,t,s,pt,out,tmp,tmp1,tmp2,tmp3); Eps=10^(-5); @@ -1500,7 +1672,9 @@ Intersectline(p1,v1,p2,v2):=( ); out; ); +////%Intersectline end//// +////%Intersectseg start//// Intersectseg(seg1,seg2):=Intersectseg(seg1,seg2,0.01); Intersectseg(seg1org,seg2org,Eps1):=( regional(Eps,seg1,seg2,p1,p2,q1,q2,t,s,pt,n,pts,out,dist, @@ -1602,7 +1776,9 @@ Intersectseg(seg1org,seg2org,Eps1):=( ); out; ); +////%Intersectseg end//// +////%Osplineseg start//// Osplineseg(list):=Osplineseg(list,[]); Osplineseg(ptlist,optionsorg):=( regional(tmp,tmp1,tmp2,list,ptL,ctrL,Eps,Eps0, @@ -1621,7 +1797,9 @@ Osplineseg(ptlist,optionsorg):=( out=Bezier("",[p1,p2],ctrL,options); out; ); +////%Osplineseg end//// +////%Intersectpartseg start//// Intersectpartseg(crv1,crv2,ii,jj,Eps1,Eps2):=( Intersectpartseg(crv1,crv2,ii,jj,Eps1,Eps2,10*Eps2); ); @@ -1640,7 +1818,7 @@ Intersectpartseg(crv1org,crv2org,ii,jj,Eps1,Eps2,Dist):=( seg2=[crv2_jj,crv2_(jj+1)]; tmp1=seg1_2-seg1_1; tmp2=seg2_2-seg2_1; - snang=abs(Crossprod(tmp1,tmp2))/(norm(tmp1)*norm(tmp2)); + snang=abs(Crossprod(tmp1,tmp2))/(Norm(tmp1)*Norm(tmp2)); tmp=Intersectseg(seg1,seg2,Eps1); dst=tmp_1; if(dst<Eps, @@ -1725,39 +1903,9 @@ Intersectpartseg(crv1org,crv2org,ii,jj,Eps1,Eps2,Dist):=( ); out; ); +////%Intersectpartseg end//// -if(1==0, - -Collectnear(ptdL,Eps2):=( - regional(Eps,gL,rL,numL,ii,jj,flg,tmp,tmp1); - Eps=10^(-4); - gL=[ptdL_1]; - rL=ptdL_(2..(length(ptdL))); - flg=0; - forall(1..(length(ptdL)-1),ii, - if(flg==0, - numL=[]; - forall(1..(length(rL)),jj, - tmp1=100; - forall(gL, - tmp=|#_1-rL_jj_1|; - if(tmp<tmp1,tmp1=tmp); - ); - if(tmp1<Eps2,numL=append(numL,jj)); - ); - if(length(numL)==0, - flg=1; - , - gL=concat(gL,rL_(numL)); - rL=remove(rL,rL_(numL)); - ); - ); - ); - [gL,rL]; -); - -); - +////%Collectsameseg start//// Collectsameseg(ptdL):=( regional(Eps,gL,rL,numL,ii,jj,flg,tmp,tmp1,tmp2,tmp1md, dst,kk,s1,e1,s2,e2); @@ -1801,7 +1949,9 @@ Collectsameseg(ptdL):=( ); [gL,rL]; ); +////%Collectsameseg end//// +////%IntersectcurvesPp start//// IntersectcurvesPp(crv1org,crv2org):=IntersectcurvesPp(crv1org,crv2org,[]); IntersectcurvesPp(crv1org,crv2org,options):=( //help:IntersectcurvesPp(crv1,crv2); @@ -1906,7 +2056,9 @@ IntersectcurvesPp(crv1org,crv2org,options):=( ); out; ); +////%IntersectcurvesPp end//// +////%Intersectcurves start//// Intersectcurves(crv1org,crv2org):=Intersectcurves(crv1org,crv2org,[]); Intersectcurves(crv1org,crv2org,options):=( //help:Intersectcurves(crv1,crv2); @@ -1915,9 +2067,11 @@ Intersectcurves(crv1org,crv2org,options):=( tmp=IntersectcurvesPp(crv1org,crv2org,options); tmp=apply(tmp,#_1); ); +////%Intersectcurves end//// ///////////End of new Intersect ////////////// +////%NearestptcrvPhy start//// NearestptcrvPhy(point,PL):=( regional(tmp,pP,plist); pP=Pcrd(point); @@ -1928,14 +2082,19 @@ NearestptcrvPhy(point,PL):=( tmp=tmp_1; [tmp_1/SCALEX,tmp_2/SCALEY]; ); +////%NearestptcrvPhy end//// +////%Nearestptcrv start//// Nearestptcrv(point,plist):=( //help:Nearestptcrv(A,"gr1"); - regional(tmp); - tmp=Nearestpt(point,plist); + regional(tmp,pt);//180723(3lines) + if(ispoint(point),pt=point.xy,pt=point); + tmp=Nearestpt(pt,plist); tmp_1; ); +////%Nearestptcrv end//// +////%Nearestpt start//// Nearestpt(point,PL2):=( regional(PL1,PL,Ans,Flg,Eps,pA,Pm,Im,Sm,Nn,Ni, a1,b1,a2,b2,v1,v2,x1,x2,Tmp,rT,pP,sS,Lm,Pm,Sm,Flg); @@ -1990,8 +2149,69 @@ Nearestpt(point,PL2):=( ); Ans; ); - -Derivative(fun,var,value):=Derivative(fun,var,value,[]); +////%Nearestpt end//// + +////%Derivative start//// +Derivative(pdstr,ptinfo):=Derivative(pdstr,ptinfo,[]);//180719 +Derivative(Arg1,Arg2,Arg3):=(//1807120 +//help:Derivative(plotdata,"x=2"); +//help:Derivative(plotdata,"y=1"); + regional(pdstr,ptinfo,options,name,v,pt,par,p0,p1,p2,p3, + pQ,pR,cc,m1,m2,out,tmp,tmp1,reL,ch,flg); + if(!islist(Arg3), + Derivative(Arg1,Arg2,Arg3,[]); + , + pdstr=Arg1; ptinfo=Arg2; options=Arg3; + tmp=Divoptions(options); + reL=tmp_5; + ch=1; + if(length(reL)>0, + ch=reL_1; + options=remove(options,reL); + ); + flg=0;//1807120 + name=""; + if(isstring(ptinfo), + tmp=Strsplit(ptinfo,"="); + name=Toupper(substring(tmp_1,0,1)); + v=parse(tmp_2); + if(name=="X", + tmp1=Lineplot("",[[v,0],[v,1]],["nodata"]); + , + tmp1=Lineplot("",[[0,v],[1,v]],["nodata"]); + ); + tmp=IntersectcurvesPp(pdstr,tmp1); + if(length(tmp)==0, + println(" Derivative cannot be found"); + out=""; + flg=1; + , + tmp=sort(tmp,[#_3]); + pt=tmp_ch_1; + par=tmp_ch_2; + ); + , + pt=ptinfo_1; + par=ptinfo_2; + ); + if(flg==0, + p0=Pointoncurve(par-1,pdstr); + p1=pt; + p2=Pointoncurve(par+1,pdstr); + p3=Pointoncurve(par+2,pdstr); + tmp=1+sqrt((1+Dotprod(p2-p0,p3-p1)/|p2-p0|/|p3-p1|)/2); + cc=4*|p2-p1|/3/(|p2-p0|+|p3-p1|)/tmp; + pQ=p1+cc*(p2-p0); + pR=p2+cc*(p1-p3); + m1=-p1_1+pQ_1; + m2=-p1_2+pQ_2; + if(name=="",out=[m1,m2]); + if(name=="X",out=m2/m1); + if(name=="Y",out=m1/m2); + ); + out; + ); +);//180720to Derivative(fun,var,value,options):=( //help:Derivative("x^3","x",2); regional(eqL,method,eps,str,x1,x2,y1,y2,tmp,tmp1,tmp2); @@ -2024,24 +2244,78 @@ Derivative(fun,var,value,options):=( (y2-y1)/(x2-x1); ); ); +////%Derivative end//// -Integrate(pltdata,range):=Integrate(pltdata,range,[]); -Intergrate(Arg1,Arg2,Arg3):=( - regional(pltdata,range,options,fnstr,vartr); - if(islist(Arg2), - pltdata=Arg1; - range=Arg2; - options=Arg3; - Integrate(pltdata,range,options); +////%Tangentplot start//// +Tangentplot(nm,pdstr,ptinfo):=Tangentplot(nm,pdstr,ptinfo,[]); //180720 +Tangentplot(nm,pdstr,ptinfo,optionsorg):=( +//help:Tangentplot("1",pdstr,"x=2"); +//help:Tangentplot("1",pdstr,"y=3"); +//help:Tangentplot("1",pdstr,[[1,2],20.5]); +//help:Tangentplot(Options2=[choice(1)]); + regional(name,v,pt,par,options,reL,ch,tmp,flg); + options=optionsorg; //1807120from + tmp=Divoptions(options); + reL=tmp_6; + ch=1; + if(length(reL)>0, + ch=reL_1; + options=remove(options,reL); + ); + flg=0;//1807120to + name=""; + if(isstring(ptinfo), + tmp=Strsplit(ptinfo,"="); + name=Toupper(substring(tmp_1,0,1)); + v=parse(tmp_2); + if(name=="X", + tmp1=Lineplot("",[[v,0],[v,1]],["nodata"]); + , + tmp1=Lineplot("",[[0,v],[1,v]],["nodata"]); + ); + tmp=IntersectcurvesPp(pdstr,tmp1); + if(length(tmp)==0,//1807120 + println(" Derivative cannot be calculated"); + flg=1; + , + tmp=sort(tmp,[#_3]);//1807120(3lines) + pt=tmp_ch_1; + par=tmp_ch_2; + ); , - fnstr=Arg1; - vastr=Arg2; - range=Arg3; - Integrate(fnstr,vastr,range,[]); + pt=ptinfo_1; + par=ptinfo_2; + ); + if(flg==0, + tmp=Derivative(pdstr,[pt,par]); + if(vname=="X", + Lineplot("tn"+nm,[pt,pt+tmp],options); + , + Lineplot("tn"+nm,[pt,pt+tmp],options); + ); ); ); +////%Tangentplot end//// -Integrate(pltdata,range,options):=( +////%Integrate start//// +Integrate(Arg1,Arg2):=( //180708from + if(isstring(Arg2), + Integratefn(Arg1,Arg2,[]); + , + Integratedt(Arg1,Arg2,[]); + ); +); +Integrate(Arg1,Arg2,options):=( + if(isstring(Arg2), + Integratefn(Arg1,Arg2,options); + , + Integratedt(Arg1,Arg2,options); + ); +);//180708to +////%Integrate end//// + +////%Integratedt start//// +Integratedt(pltdata,range,options):=( //help:Integrate("gr1",[1,3]); //help:Integrate(options=["Rule=o"]); regional(tmp,tmp1,eqL,Rule,pdata,Sm,ptP,ptQ,list,va1,va2); @@ -2074,28 +2348,42 @@ Integrate(pltdata,range,options):=( Sm; ); ); +////%Integratedt end//// -Integrate(fnstr,vastr,range,options):=( -//help:Integrate("sin(x)","x",[0,pi],["Num=100","Rule=s"]); - regional(tmp,tmp1,Sm,Lx,Rx,va1,va2,Num,Waysx,ex,dx,xn,yn,x0,x1,x2,y0,y1,y2); +////%Integratefn start//// +Integratefn(fnstr,rngstr,options):=( //180708from +//help:Integrate("sin(x)","x=[0,pi]",["Num=100","Rule=o"]); + regional(Sm,Lx,Rx,va1,va2,Num,Way,sx,ex,dx,xn,yn, + x0,x1,x2,y0,y1,y2,tmp,tmp1,tmp2,eqL,var,range,plt); Num=100; - Way="t"; - forall(options, - if(indexof(#,"=")>0, - if(indexof(#,"N=")>0, - Num=parse(substring(#,indexof(#,"="),length(#))); - ); - if(indexof(#,"Num=")>0, - Num=parse(substring(#,indexof(#,"="),length(#))); - ); - if(Toupper(substring(#,0,1))=="R", - tmp=indexof(#,"="); - Way=substring(#,tmp,tmp+1); - ); - ); + Way="o"; + tmp=Divoptions(options); + eqL=tmp_5; + forall(eqL, + tmp=Strsplit(#,"="); + tmp1=Toupper(substring(tmp_1,0,1)); + tmp2=tmp_2; + if(tmp1=="N", + Num=parse(tmp2); + ); + if(tmp1=="R", + tmp2=substring(tmp2,0,1); + ); ); - Sm=0; + tmp=Strsplit(rngstr,"="); + var=tmp_1; + range=parse(tmp_2); + if(Way=="o", + sx=range_1; + ex=range_2; + dx=(ex-sx)/Num; + xn=apply(0..Num,sx+#*dx); + yn=apply(xn,parse(Assign(fnstr,[var,textformat(#,5)]))); + plt=apply(1..(Num+1),[xn_#,yn_#]); + Sm=IntegrateO(plt,range); + );//180708to if(Way=="t", + Sm=0; forall(1..Num, Lx=range_1+(range_2-range_1)*(#-1)/Num; Rx=range_1+(range_2-range_1)*#/Num; @@ -2103,7 +2391,9 @@ Integrate(fnstr,vastr,range,options):=( va2=parse(replace(fnstr,vastr,textformat(Rx,5))); Sm=Sm+(va1+va2)*(Rx-Lx)/2; ); - , + ); + if(Way=="s", + Sm=0; sx=range_1; ex=range_2; dx=(ex-sx)/Num; @@ -2122,7 +2412,9 @@ Integrate(fnstr,vastr,range,options):=( ); Sm; ); +////%Integratefn end//// +////%IntegrateO start//// IntegrateO(p0org,p1org,p2org,p3org):=( regional(p0,p1,p2,p3,pQ,pR,cc,p01,p02, p11,p12,p21,p22,p31,p32, tmp); @@ -2203,8 +2495,10 @@ IntegrateO(pltdata,rangeorg):=( ); Sm; ); +////%IntegrateO end//// -Findarea(pdstr):=( +////%FindareaP start//// +FindareaP(pdstr):=( //180722 //help:Findarea("sgABCA"); regional(pd,p1,p2,s,tmp); if(isstring(pdstr),pd=parse(pdstr),pd=pdstr); @@ -2218,24 +2512,64 @@ Findarea(pdstr):=( if(s<0,s=-s); s; ); +////%FindareaP end//// -Findarea(pdstr):=( // 15.11.27 -//help:Findarea("cr1"); - regional(pd,p0,p1,p2,p3,s,tmp); +////%FindareaO start//// +FindareaO(pdstr,len):=( // 18.10,13 + regional(pd,p0,p1,p2,p3,s,tmp,Lflg); if(isstring(pdstr),pd=parse(pdstr),pd=pdstr); + Lflg=0; s=0; forall(1..(length(pd)-1), p1=pd_#; p2=pd_(#+1); - if(#==1,p0=pd_(length(pd)-1),p0=pd_(#-1)); - if(#==length(pd)-1,p3=pd_2,p3=pd_(#+2)); - tmp=IntegrateO(p0,p1,p2,p3); + if(Dist(p1,p2)<len, + if(#==1,p0=pd_(length(pd)-1),p0=pd_(#-1)); + if(Dist(p0,p1)>len,p0=2*p1-p2); + if(#==length(pd)-1,p3=pd_2,p3=pd_(#+2)); + if(Dist(p2,p3)>len,p3=2*p2-p1); + tmp=IntegrateO(p0,p1,p2,p3); + , + tmp=(p1_2+p2_2)*(p2_1-p1_1)/2; + ); s=s+tmp; ); if(s<0,s=-s); s; ); +////%FindareaO end//// +////%Findarea start//// +Findarea(pdstr):=Findarea(pdstr,[]);//180722from +Findarea(pdstr,options):=( +//help:Findarea("cr1"); +//help:Findarea(options=["Len=1"]); + regional(tmp,tmp1,tmp2,eqL,way,len,out); + tmp=Divoptions(options); + eqL=tmp_5; + way="O"; + len=1; + forall(eqL, + tmp=Strsplit(#,"="); + tmp1=Toupper(substring(tmp_1,0,1)); + tmp2=tmp_2; + if(tmp1=="W", + way=Toupper(substring(tmp2,0,1)); + ); + if(tmp1=="L",//181013from + len=parse(tmp2); + );//181013to + ); + if(way=="O", + out=FindareaO(pdstr,len);//181013 + , + out=FindareaP(pdstr); + ); + out; +);//180722to +////%Findarea end//// + +////%Findlength start//// Findlength(pdstr):=( //help:Findlength("gr1"); regional(pd,p1,p2,s,tmp); @@ -2249,7 +2583,9 @@ Findlength(pdstr):=( ); s; ); +////%Findlength end//// +////%Inversefun start//// Inversefun(fnstr,rngstr,value):=( regional(tmp,varstr,range,x1,x2,x3,va1,va2); tmp=indexof(rngstr,"="); @@ -2274,20 +2610,26 @@ Inversefun(fnstr,rngstr,value):=( ); if(abs(va1)<=abs(va2),x1,x2); ); +////%Inversefun end//// +////%Com0th start//// Com0th(String):=( regional(str); str=replace(String,LFmark,""); COM0thlist=append(COM0thlist,str); ); +////%Com0th end//// +////%Com1st start//// Com1st(String):=( regional(str); str=replace(String,LFmark,""); GLIST=append(GLIST,str); // 15.05.27 // COM1stlist=append(COM1stlist,str); ); +////%Com1st end//// +////%Com2nd start//// Com2nd(String):=Com2nd(String,["a"]);//180612 Com2nd(String,option):=( // help:Com2nd(str,["before"]); @@ -2300,13 +2642,17 @@ Com2nd(String,option):=( COM2ndlist=append(COM2ndlist,str); );//180612to ); +////%Com2nd end//// +////%Com2ndpre start//// Com2ndpre(String):=( regional(str); str=replace(String,LFmark,""); COM2ndlist=prepend(str,COM2ndlist); ); +////%Com2ndpre end//// +////%Texcom start//// Texcom(strorg):=( //17.09.22 //help:Texcom("\color[cmyk]{0,0,0,0.5}"); regional(str); @@ -2315,6 +2661,7 @@ Texcom(strorg):=( //17.09.22 str="Texcom("+Dq+str+Dq+")"; Com2nd(str); ); +////%Texcom end//// Ketcindylogo():=( //help:Ketcindylogo(); @@ -2367,6 +2714,7 @@ Drawlinetype(name,type):=( ); ); +////%Setunitlen start//// Setunitlen():=( println(ULEN); ); @@ -2420,29 +2768,57 @@ Setunitlen(UI):=( MARKLEN=MARKLENNow*1000/2.54/MilliIn; MEMORI=MEMORINow*1000/2.54/MilliIn; ); +////%Setunitlen end//// +////%Setmarklen start//// Setmarklen(ratio):=( //help:Setmarklen(0.2); MARKLEN=ratio*0.2;//16.11.01 Com2nd("Setmarklen("+textformat(ratio,5)+")"); ); +////%Setmarklen end//// +////%Setorigin start//// Setorigin(point):=( //help:Setorigin([1,2]); Com2nd("Setorigin("+textformat(point,5)+")"); ); +////%Setorigin end//// +////%Fontsize start//// Fontsize(sizestr):=( //help:Fontsize("s"); Com2nd("Fontsize('"+sizestr+"')"); ); +////%Fontsize end//// +////%Setpen start//// Setpen(width):=( //help:Setpen(2); PenThick=PenThickInit*width; // 16.04.09 Com2nd("Setpen("+text(width)+")"); ); +////%Setpen end//// + +////%Setscaling start//// +Setscaling(sc):=( +//help:Setscaling(3); + regional(tmp); + tmp=format(sc,5); + if(!islist(sc), + SCALEX=1; + SCALEY=sc; + Com0th("Setscaling("+tmp+")"); + , + SCALEX=sc_1; + SCALEY=sc_2; + Com0th("Setscaling("+tmp_1+","+tmp_2+")"); + ); + Setwindow("Msg=no"); +); +////%Setscaling end//// +////%Lcrd start//// Lcrd(pt):=( regional(tmp); if(ispoint(pt), @@ -2452,7 +2828,9 @@ Lcrd(pt):=( ); tmp; ); +////%Lcrd end//// +////%Pcrd start//// Pcrd(pt):=( regional(tmp); if(ispoint(pt), @@ -2462,7 +2840,9 @@ Pcrd(pt):=( ); tmp; ); +////%Pcrd end//// +////%LLcrd start//// LLcrd(pt):=( regional(tmp); if(ispoint(pt), @@ -2473,7 +2853,9 @@ LLcrd(pt):=( tmp=[tmp_1/SCALEX,tmp_2/SCALEY]; tmp; ); +////%LLcrd end//// +////%Doscaling start//// Doscaling(pltdata):=( regional(Level,Out,gL,gr,tmp); if(ispoint(pltdata) % isreal(pltdata_1), @@ -2502,7 +2884,9 @@ Doscaling(pltdata):=( ); Out; ); +////%Doscaling end//// +////%Unscaling start//// Unscaling(pltdata):=( regional(Level,Out,gL,gr,tmp); if(ispoint(pltdata) % isreal(pltdata_1), @@ -2531,7 +2915,9 @@ Unscaling(pltdata):=( ); Out; ); +////%Unscaling end//// +////%Setpt start//// Setpt(n):=Ptsize(n); //help:Setpt(5); Ptsize(n):=( @@ -2539,7 +2925,9 @@ Ptsize(n):=( TenSize=TenSizeInit*n; Com2nd("Setpt("+text(n)+")"); // 14.01.19 ); +////%Setpt end//// +////%Definecolor start//// Definecolor(name,data):=( //help:Definecolor("mycolor",[1,1,1,0]); regional(type,tmp); @@ -2549,7 +2937,9 @@ Definecolor(name,data):=( tmp="\definecolor{"+name+"}{"+type+"}{"+tmp+"}"; Texcom(tmp); ); +////%Definecolor end//// +////%Setcolor start//// Setcolor(parorg):=( //180603renew //help:Setcolor([1,0,0,1]); //help:Setcolor([1,1,0]); @@ -2578,7 +2968,9 @@ Setcolor(parorg):=( //180603renew ); Com2nd(cstr); ); +////%Setcolor end//// +////%ColorRgb2Cmyk start//// ColorRgb2Cmyk(clr):=( // help:ColorRgb([0.2,0.5,0.1]); regional(clrnew,tmp,black); @@ -2588,7 +2980,9 @@ ColorRgb2Cmyk(clr):=( clrnew=append(tmp,black); clrnew; ); +////%ColorRgb2Cmyk end//// +////%ColorCmyk2Rgb start//// ColorCmyk2Rgb(clr):=( // help:ColorRgb([0.2,0.5,0.1,0.2]); regional(clrnew,tmp,black); @@ -2597,7 +2991,9 @@ ColorCmyk2Rgb(clr):=( clrnew=tmp_(1..3); clrnew; ); +////%ColorCmyk2Rgb end//// +////%Colorrgbhsv start//// Colorrgbhsv(rgb):=( regional(varR,varG,varB,varMin,varMax,delMax,hh,ss,vv,delR,delG,delB); varR = rgb_1; @@ -2631,7 +3027,9 @@ Colorrgbhsv(rgb):=( ); [hh*360,ss,vv]; ); - +////%Colorrgbhsv end//// + +////%Colorhsvrgb start//// Colorhsvrgb(sL):=( regional(tmp,tmp1,tmp2,tmp3,hi,ff,dL); tmp=[sL_1/60,sL_2,sL_3]; @@ -2647,7 +3045,9 @@ Colorhsvrgb(sL):=( if(hi==5,dL=tmp2_[4,1,2]); dL; ); +////%Colorhsvrgb end//// +////%Colorrgbhsl start//// Colorrgbhsl(rgb):=( regional(rr,gg,bb,mn,mx,delta,deltaR,deltaG,deltaB,hh,ss,ll); rr = rgb_1 ; @@ -2685,7 +3085,9 @@ Colorrgbhsl(rgb):=( ); [hh*360,ss,ll]; ); +////%Colorrgbhsl end//// +////%Colorhslrgb start//// Colorhslrgb(hsl):=( regional(hh,ss,ll,rr,gg,bb,var1,var2); hh=hsl_1/360; @@ -2708,7 +3110,9 @@ Colorhslrgb(hsl):=( ); [rr,gg,bb]; ); +////%Colorhslrgb end//// +////%hue2rgb start//// hue2rgb(vv1,vv2,vh):=( regional(out); if ( vh < 0.0 ,vh =vh+1); @@ -2728,7 +3132,9 @@ hue2rgb(vv1,vv2,vh):=( ); out; ); +////%hue2rgb end//// +////%Colorrgbhwb start//// Colorrgbhwb(sL):=( regional(dl1,dl2,dl3); dl1 = Colorrgbhsl(sL)_1;//Colorcode("rgb","hsl",sL)_1; @@ -2736,7 +3142,9 @@ Colorrgbhwb(sL):=( dl3 = 1 - max(sL); dL= [dl1, dl2 , dl3 ]; ); +////%Colorrgbhwb end//// +////%Colorhwbrgb start//// Colorhwbrgb(sLorg):=( regional(sL,tmp,tmp1,tmp2,tmp3,ratio,ff,ii,vv,nn,dL,flg); sL=sLorg; @@ -2763,7 +3171,9 @@ Colorhwbrgb(sLorg):=( ); dL; ); +////%Colorhwbrgb end//// +////%Colorhslhsv start//// Colorhslhsv(sL):=( regional(dl1,dl2,dl3,dL); dl1=sL_1; @@ -2780,7 +3190,9 @@ Colorhslhsv(sL):=( ); dL; ); +////%Colorhslhsv end//// +////%Colorcode start//// Colorcode(src,dest,sL):=( //help:Colorcode("rgb","cmyk",[1,0.5,0]); regional(tmp,tmp1,tmp2,tmp3,mn,mx,delta,black,dL,flg); @@ -2867,7 +3279,9 @@ Colorcode(src,dest,sL):=( dL; ); +////%Colorcode end//// +////%Colorinfile start//// Colorinfile(filename,clrf,clrt):=( regional(tmp,tmp1,tmp2,head,cstrL,chstrL,head,body); if(length(clrf_1)==3, @@ -2912,7 +3326,9 @@ Colorinfile(filename,clrf,clrt):=( ); closefile(SCEOUT); ); +////%Colorinfile end//// +////%GetLinestyle start//// GetLinestyle(str,name):=( regional(noflg,tmp,tmp1,tmp2,Dop,Ltype,subflg); Ltype=-1; @@ -2965,7 +3381,9 @@ GetLinestyle(str,name):=( ); Ltype; ); +////%GetLinestyle end//// +////%Chunderscore start//// Chunderscore(str):=( regional(flg,tmp,tmp1,tmp2,tmp3); if(indexof(str,"]")>0, @@ -3002,7 +3420,9 @@ Chunderscore(str):=( ); tmp1; ); +////%Chunderscore end//// +////%AddGraph start//// AddGraph(nm,pltdata):=AddGraph(nm,pltdata,[]); AddGraph(nm,pltdata,options):=( //help:AddGraph("1","imp1"); // 16.04.04 @@ -3091,16 +3511,22 @@ AddGraph(nm,pltdata,options):=( ); // 16.04.04 until if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); + if((Noflg==0)&(color!=KCOLOR), //181020 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if((Noflg==0)&(color!=KCOLOR), //181020 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); ); ); +////%AddGraph end//// +////%Joincrvs start//// Joincrvs(nm,plotstrL):=Joincrvs(nm,plotstrL,[]); Joincrvs(nm,plotstrL,options):=( //help:Joincrvs("1",["sgAB","sgDCB"]); @@ -3184,17 +3610,23 @@ Joincrvs(nm,plotstrL,options):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if((Noflg==0)&(color!=KCOLOR), //181020 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //181020 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); ); PtL; ); +////%Joincrvs end//// +////%Partcrv start//// Partcrv(nm,pA,pB,PkLstr):=Partcrv(nm,pA,pB,PkLstr,[]); Partcrv(nm,pA,pB,PkLstr,options):=( //help:Partcrv("1",A,B,"sgABC"); @@ -3271,17 +3703,23 @@ Partcrv(nm,pA,pB,PkLstr,options):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if((Noflg==0)&(color!=KCOLOR), //181020 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //181020 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); ); Ans; ); +////%Partcrv end//// +////%Opcrvs start//// Opcrvs(num,Fig):=Opcrvs(num,Fig,["nodisp"]); Opcrvs(num,Fig,options):=( //help:Subgraph(2,"grfs"); @@ -3291,17 +3729,17 @@ Opcrvs(num,Fig,options):=( tmp1=parse(tmp); Listplot(name,tmp1,options); ); +////%Opcrvs end//// - +////%Pointdata start//// Pointdata(nm,list):=Pointdata(nm,list,[]); Pointdata(nm,listorg,options):=( //help:Pointdata("1",[2,4],["Size=5"]); //help:Pointdata("2",[[2,3],[4,1]]); regional(list,name,nameL,ptlist,opstr,opcindy, - eqL,size,thick,tmp,tmp1,tmp2,tmp3,Ltype,Noflg,color); + eqL,dispflg,size,thick,tmp,tmp1,tmp2,tmp3,Ltype,Noflg,color); name="pt"+nm; nameL=name+"L"; - println("generate pointdata "+name); tmp=Divoptions(options); Ltype=tmp_1; Noflg=tmp_2; @@ -3310,15 +3748,24 @@ Pointdata(nm,listorg,options):=( opstr=tmp_(length(tmp)-1); color=tmp_(length(tmp)-2); size=""; + dispflg="Y"; if(length(eqL)>0, forall(eqL, - tmp=substring(#,0,1); - if(tmp=="s" % tmp=="S", - tmp=indexof(#,"="); - size=substring(#,tmp,length(#)); + tmp=Strsplit(#,"="); + tmp1=Toupper(substring(tmp_1,0,1)); + tmp2=Toupper(substring(tmp_2,0,1)); + if(tmp1=="S", + size=tmp2; + opcindy=opcindy+",size->"+text(size); //181013 + ); + if(tmp1=="D", //181030from + dispflg=tmp2; ); ); ); + if(dispflg=="Y", + println("generate pointdata "+name); + ); //181030to if(isstring(listorg),list=parse(listorg),list=listorg); //17.10.23 if(MeasureDepth(list)==0,list=[list]);//180530 tmp=MeasureDepth(list); @@ -3366,9 +3813,13 @@ Pointdata(nm,listorg,options):=( if(length(size)>0,tmp1=parse(size),tmp1=1); tmp1=max(tmp1,1)/8; Setpen(tmp1); // 16.04.09 until - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); + if((Noflg==0)&(color!=KCOLOR), //181020 + Texcom("{");Com2nd("Setcolor("+color+")");//180711 + ); Com2nd("Drwpt(list("+name+")"+opstr+")"); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); + if((Noflg==0)&(color!=KCOLOR), //181020 + Texcom("}");//180711 + ); Setpen(thick); // 16.04.09 if(length(size)>0, Com2nd("Setpt("+textformat(TenSize/TenSizeInit,1)+")"); @@ -3377,13 +3828,15 @@ Pointdata(nm,listorg,options):=( ); ptlist; ); +////%Pointdata end//// +////%Listplot start//// Listplot(nm,list,options):=( //help:Listplot([A,B]); // help:Listplot(["A","B"]); //help:Listplot("1",[[2,1],[3,3]]); -//help:Listplot(options2=["Msg=yes"]); - regional(name,tmp,tmp1,ptlist,Ltype,opcindy,Noflg,eqL,Msg,color); +//help:Listplot(options2=["Msg=y","Cutend=n"]);//180719 + regional(name,cutend,tmp,tmp1,tmp2,ptlist,Ltype,opcindy,Noflg,eqL,Msg,color); if(substring(nm,0,1)=="-", // 16.01.27 from name=substring(nm,1,length(nm)); , @@ -3396,15 +3849,23 @@ Listplot(nm,list,options):=( color=tmp_(length(tmp)-2); opcindy=tmp_(length(tmp)); Msg=1; // 15.09.17 + cutend=[0,0];//180719 forall(eqL, - tmp=substring(#,0,1); - if(Toupper(tmp)=="M", - tmp=indexof(#,"="); - tmp1=substring(#,tmp,tmp+1); // 16.06.28 - if(Toupper(tmp1)=="N", // 16.06.28 + tmp=Strsplit(#,"="); + tmp1=Toupper(substring(tmp_1,0,1)); + tmp2=tmp_2; + if(tmp1=="M", + tmp=Toupper(substring(tmp2,0,1)); + if(tmp=="N", // 16.06.28 Msg=0; ); ); + if(tmp1=="C",//180719from + tmp2=replace(tmp2,"[",""); + tmp2=replace(tmp2,"]",""); + cutend=tokenize(tmp2,","); + if(length(cutend)==1,cutend=[cutend_1,cutend_1]); + );//180719to ); if(Noflg<3, if(Msg==1, @@ -3412,15 +3873,25 @@ Listplot(nm,list,options):=( ); if(isstring(list_1),tmp=apply(list,parse(#)),tmp=list); // 15.03.24 ptlist=apply(tmp,Pcrd(#)); + if(|cutend|>0,//180719from + tmp=ptlist_(length(ptlist))-ptlist_1; + tmp=tmp/|tmp|; + ptlist_1=ptlist_1+tmp*cutend_1; + ptlist_(length(ptlist))=ptlist_(length(ptlist))-tmp*cutend_2; + );//180719to tmp=name+"="+textformat(ptlist,5); parse(tmp); - GLIST=append(GLIST,name+"=Listplot("+textformat(list,5)+")"); // 15.12.23 + GLIST=append(GLIST,name+"=Listplot("+textformat(ptlist,5)+")"); // 180719 ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); + if((Noflg==0)&(color!=KCOLOR), //181020 + Texcom("{");Com2nd("Setcolor("+color+")");//180711 + ); Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); + if((Noflg==0)&(color!=KCOLOR), //181020 + Texcom("}");//180711 + ); , if(Noflg==1,Ltype=0); ); @@ -3446,7 +3917,9 @@ Listplot(Arg1,Arg2):=( ); ); Listplot(list):=Listplot(list,[]); +////%Listplot end//// +////%Lineplot start//// Lineplot(nm,list,options):=( //help:Lineplot([A,B]); //help:Lineplot("1",[[2,1],[3,3]]); @@ -3485,10 +3958,14 @@ Lineplot(nm,list,options):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); + if((Noflg==0)&(color!=KCOLOR), //181020 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if((Noflg==0)&(color!=KCOLOR), //181020 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -3512,14 +3989,16 @@ Lineplot(Arg1,Arg2):=( ); ); Lineplot(list):=Lineplot(list,[]); +////%Lineplot end//// +////%Plotdata start//// Plotdata(name1,func,variable):=Plotdata(name1,func,variable,[]); Plotdata(name1,func,variable,options):=( //help:Plotdata("1","sin(x)","x",["Num=100"]); //help:Plotdata("2","x^2","x=[-1,1]"); //help:Plotdata("3","Fout(x)","x",["out"]); regional(Fn,Va,tmp,tmp1,tmp2,eqL,name,Vname,x1,x2,dx, - PdL,QdL,Num,Ec,Dc,Fun,Exfun,x,Ke,Eps,Pa, + PdL,Num,Ec,Dc,Fun,Exfun,x,Ke,Eps,Pa, Ltype,Noflg,Inflg,Outflg,opstr,opcindy,color); name="gr"+name1; tmp=Divoptions(options); @@ -3538,19 +4017,25 @@ Plotdata(name1,func,variable,options):=( forall(eqL, tmp=indexof(#,"="); tmp1=substring(#,tmp,length(#)); - opstr=opstr+",'"+#+"'"; if(substring(#,0,1)=="N", Num=parse(tmp1); + opstr=opstr+","+Dqq(#); ); if(substring(#,0,1)=="E", - if(substring(tmp1,0,1)=="[", + if(substring(tmp1,0,1)=="[", //180817from Ec=parse(tmp1); + tmp1=replace(tmp1,"[","c("); + tmp1=replace(tmp1,",",".0,"); + tmp1=replace(tmp1,"]",".0)"); + opstr=opstr+","+Dqq("Exc="+tmp1); //180817to , Exfun=tmp1; + opstr=opstr+","+Dqq(#); ); ); if(substring(#,0,1)=="D", Dc=parse(tmp1); + opstr=opstr+","+Dqq(#); ); ); if(Inflg==0 & Outflg==0, @@ -3578,10 +4063,26 @@ Plotdata(name1,func,variable,options):=( if(length(Exfun)>0, tmp=parse(Exfun); if(abs(tmp)<Eps, - if(length(Pdt)>0, + if(length(PdL)>0, //180817from PdL=concat(PdL,["inf"]); ); - ); + , + tmp=[xx,parse(Fun)]; + if(length(PdL)>0, + tmp1=PdL_(length(PdL)); + if(Norm(tmp,tmp1)<Dc, + PdL=append(PdL,tmp); + , + if(tmp1=="inf", + PdL=append(PdL,tmp); + , + PdL=concat(PdL,[["inf"],tmp]); + ); + ); + , + PdL=[tmp]; + ); + ); //180817to , Pa=[]; if(xx-Ec_Ke<-Eps, @@ -3655,9 +4156,13 @@ Plotdata(name1,func,variable,options):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); + if((Noflg==0)&(color!=KCOLOR), //181020 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); + if((Noflg==0)&(color!=KCOLOR), //181020 + Texcom("}");//180722 + ); , if(Noflg==1,Ltype=0); ); @@ -3667,9 +4172,13 @@ Plotdata(name1,func,variable,options):=( , if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); + if((Noflg==0)&(color!=KCOLOR), //181020 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); + if((Noflg==0)&(color!=KCOLOR), //181020 + Texcom("}");//180722 + ); , if(Noflg==1,Ltype=0); ); @@ -3679,14 +4188,20 @@ Plotdata(name1,func,variable,options):=( ); ); ); +////%Plotdata end//// -Paramplot(name1,funstr,variable):=Paramplot(name1,funstr,variable,[]); -Paramplot(name1,funstr,variable,options):=( +////%Paramplot start//// +Paramplot(nm,funstr,variable):=Paramplot(nm,funstr,variable,[]); +Paramplot(nm,funstr,variable,options):=( //help:Paramplot("1","[2*cos(t),sin(t)]","t=[0,2*pi]"); regional(name,Out,tmp,tmp1,tmp2,vname,func,str,Rng,Num, Ec,Exfun,Dc,eqL,Fntmp,Vatmp,t1,t2,dt,tt,pa,ke, Ltype,Noflg,Inflg,Outflg,opstr,opcindy,color); - name="gp"+name1; + if(substring(nm,0,1)=="-", // 180928from + name=substring(nm,1,length(nm)); + , + name="gp"+nm; + ); //180929to Eps=10^(-4); tmp=Divoptions(options); Ltype=tmp_1; @@ -3704,19 +4219,25 @@ Paramplot(name1,funstr,variable,options):=( forall(eqL, tmp=indexof(#,"="); tmp1=substring(#,tmp,length(#)); - opstr=opstr+",'"+#+"'"; if(substring(#,0,1)=="N", Num=parse(tmp1); + opstr=opstr+","+Dqq(#); ); if(substring(#,0,1)=="E", - if(substring(tmp1,0,1)=="[", + if(substring(tmp1,0,1)=="[", //180817from Ec=parse(tmp1); + tmp1=replace(tmp1,"[","c("); + tmp1=replace(tmp1,",",".0,"); + tmp1=replace(tmp1,"]",".0)"); + opstr=opstr+","+Dqq("Exc="+tmp1); //180817to , Exfun=tmp1; + opstr=opstr+","+Dqq(#); ); ); if(substring(#,0,1)=="D", Dc=parse(tmp1); + opstr=opstr+","+Dqq(#); ); ); if(Inflg==0 & Outflg==0, @@ -3759,7 +4280,9 @@ Paramplot(name1,funstr,variable,options):=( Out=append(Out,pa); , if(|tmp-pa|<Dc, - Out=append(Out,pa); + if(|tmp-pa|>Eps, //180928from + Out=append(Out,pa); + ); //180928to , Out=concat(Out,[["inf"],pa]); ); @@ -3803,9 +4326,13 @@ Paramplot(name1,funstr,variable,options):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); + if((Noflg==0)&(color!=KCOLOR), //181020 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); + if((Noflg==0)&(color!=KCOLOR), //181020 + Texcom("}");//180722 + ); , if(Noflg==1,Ltype=0); ); @@ -3815,10 +4342,14 @@ Paramplot(name1,funstr,variable,options):=( , if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); + if((Noflg==0)&(color!=KCOLOR), //181020 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if((Noflg==0)&(color!=KCOLOR), //181020 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); if(Inflg==1, @@ -3827,7 +4358,22 @@ Paramplot(name1,funstr,variable,options):=( ); ); ); +////%Paramplot end//// +////%Polarplot start//// +// 180928 +Polarplot(name,radstr,varrng):=Polarplot(name,radstr,varrng,[]); +Polarplot(name,radstr,varrng,option):=( +//help:Polarplot("1","cos(t)","t=[0,2*pi]"); + regional(tmp,var); + tmp=Strsplit(varrng,"="); + var=tmp_1; + tmp="("+radstr+")*[cos("+var+"),sin("+var+")]"; + Paramplot("-polar"+name,tmp,varrng,option); +); +////%Polarplot end//// + +////%Connectseg start//// Connectseg(Pdata):=( regional(Eps,PlotL,vL,ctr,qd,ah,ao,flg,jj, pp,qq,tmp,tmp1,tmp2); @@ -3891,7 +4437,9 @@ Connectseg(Pdata):=( ); PlotL; ); +////%Connectseg end//// +////%Implicitplot start//// Implicitplot(name1,func,xrng,yrng):=Implicitplot(name1,func,xrng,yrng,[]); Implicitplot(name1,func,xrng,yrng,options):=( //help:Implicitplot("1","x^2+x*y+y^2=1","x=[-3,3]","y=[-3,3]"); @@ -4009,17 +4557,23 @@ Implicitplot(name1,func,xrng,yrng,options):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if((Noflg==0)&(color!=KCOLOR), //181020 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //181020 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); ); out; ); +////%Implicitplot end//// +////%Circledata start//// Circledata(cenrad):=Circledata(cenrad,[]); Circledata(para1,para2):=( //help:Circledata([A,B],["Rng=[0,pi/2]"]); @@ -4116,17 +4670,23 @@ Circledata(nm,cenrad,options):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if((Noflg==0)&(color!=KCOLOR), //181020 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //181020 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); ); Out; ); +////%Circledata end//// +////%Framedata start//// Framedata():=Framedata(["dr"]);//16.10.29from Framedata(list):=( regional(pA,pB); @@ -4154,45 +4714,67 @@ Framedata(Arg1,Arg2):=( Framedata(name,list,options); ); ); -Framedata(nm,list,options):=( +Framedata(nm,list,optionsorg):=( //help:Framedata(); //help:Framedata([C,A]); //help:Framedata("1",[C,A]); +//help:Framedata("1",[A,B],["corner"]); //help:Framedata("1",[C,dx,dy]); - regional(name,Out,tmp,tmp1,pB,x1,x2,y1,y2,dx,dy, - opcindy,Ltype,Noflg,cent,dx,dy,color); + regional(name,options,Out,tmp,tmp1,pB,x1,x2,y1,y2,dx,dy, + opcindy,Ltype,Noflg,strL,type,cent,dx,dy,color); name="fr"+nm; + options=optionsorg; tmp=Divoptions(options); Ltype=tmp_1; Noflg=tmp_2; - color=tmp_(length(tmp)-2); - opcindy=tmp_(length(tmp)); - if(length(list)==2, // 15.05.12 - pA=Lcrd(list_1); pB=Lcrd(list_2); - dx=abs(pB_1-pA_1); dy=abs(pB_2-pA_2); - , - pA=Lcrd(list_1); - dx=list_2; dy=list_3; - ); - x1=pA_1-dx; x2=pA_1+dx; - y1=pA_2-dy; y2=pA_2+dy; - Out=[[x1,y1],[x2,y1],[x2,y2],[x1,y2],[x1,y1]]; - if(Noflg<3, - println("generate Framedata "+name); - tmp1=apply(Out,Pcrd(#)); - tmp=name+"="+textformat(tmp1,5); - parse(tmp); - GLIST=append(GLIST,name+"=Framedata("+pA+","+dx+","+dy+")"); + strL=tmp_7; //180801from + type="center"; + forall(strL, + if(Toupper(#)=="CORNER", + type="corner"; + options=remove(options,[#]); + ); + if(Toupper(#)=="CENTER", + type="center"; + options=remove(options,[#]); + ); ); - if(Noflg<2, - if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); + if(type=="corner", + Out=Framedata2(nm,list,options); + , //180801to + color=tmp_(length(tmp)-2); + opcindy=tmp_(length(tmp)); + if(length(list)==2, // 15.05.12 + pA=Lcrd(list_1); pB=Lcrd(list_2); + dx=abs(pB_1-pA_1); dy=abs(pB_2-pA_2); , - if(Noflg==1,Ltype=0); + pA=Lcrd(list_1); + dx=list_2; dy=list_3; + ); + x1=pA_1-dx; x2=pA_1+dx; + y1=pA_2-dy; y2=pA_2+dy; + Out=[[x1,y1],[x2,y1],[x2,y2],[x1,y2],[x1,y1]]; + if(Noflg<3, + println("generate Framedata "+name); + tmp1=apply(Out,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + GLIST=append(GLIST,name+"=Framedata("+pA+","+dx+","+dy+")"); + ); + if(Noflg<2, + if(isstring(Ltype), + if((Noflg==0)&(color!=KCOLOR), //181020 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //181020 + Texcom("}");//180722 + ); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); ); - GCLIST=append(GCLIST,[name,Ltype,opcindy]); ); Out; ); @@ -4217,17 +4799,23 @@ Framedata(nm,cent,dx,dy,options):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); ); Out; ); +////%Framedata end//// +////%Framedata2 start//// Framedata2(nm,list):=Framedata2(nm,list,[]); Framedata2(nm,list,options):=( //help:Framedata2("1",[A,B]); @@ -4236,7 +4824,9 @@ Framedata2(nm,list,options):=( pB=Lcrd(list_2); Framedata(nm,[pC,pB],options); ); +////%Framedata2 end//// +////%Ovaldata start//// Ovaldata(nm,Pdata):=Ovaldata(nm,Pdata,[]); Ovaldata(nm,Pdata,options):=( //help:Ovaldata("1",[A,B]); @@ -4264,13 +4854,17 @@ Ovaldata(nm,Pdata,options):=( Dy=Pdata_3; ); Point=Ctr+[Dx-Rc,Dy-Rc]; - tmp1=Circledata("1",[Point,Point+[Rc,0]], - ["Rng=[0,pi/2]","Num=10","nodata"]); tmp2=Listplot("1",[Ctr+[Dx-Rc,Dy],Ctr+[0,Dy]], ["nodata"]); tmp3=Listplot("2",[Ctr+[Dx,0],Ctr+[Dx,Dy-Rc]], ["nodata"]); - Graph=Joincrvs("1",[tmp3,tmp1,tmp2],["nodata"]); + if(Rc>0, //180624from + tmp1=Circledata("1",[Point,Point+[Rc,0]], + ["Rng=[0,pi/2]","Num=10","nodata"]); + Graph=Joincrvs("1",[tmp3,tmp1,tmp2],["nodata"]); + , + Graph=Joincrvs("1",[tmp3,tmp2],["nodata"]); + ); //180624to tmp1=Reflectdata("1",[Graph],[Ctr,Ctr+[0,1]],["nodata"]); Graph=Joincrvs("1",[Graph,tmp1],["nodata"]); tmp2=Reflectdata("2",[Graph],[Ctr,Ctr+[1,0]], @@ -4286,10 +4880,14 @@ Ovaldata(nm,Pdata,options):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -4300,14 +4898,16 @@ Ovaldata(nm,Pdata,options):=( ); Graph; ); +////%Ovaldata end//// -Segmark(nm,ptlist):=Segmark(nm,ptlist,[]); -Segmark(nm,ptlist,options):=Drawsegmark(nm,ptlist,options,color); +////%Segmark start//// +Segmark(nm,ptlist):=Drawsegmark(nm,ptlist,[]); +Segmark(nm,ptlist,options):=Drawsegmark(nm,ptlist,options);//180704 Drawsegmark(nm,ptlist):=Drawsegmark(nm,ptlist,[]); Drawsegmark(nm,ptlist,options):=( //help:Segmark("1",[A,B]); //help:Segmark(options=["Type=1","Width=1","Size=1"]); - regional(name,pA,pB,wid,mid,size,tp,dir,nor,eqL, + regional(name,pA,pB,wid,mid,size,tp,dir,nor,eqL,color, //180704 tmp,tmp1,tmp2); name="mrk"+nm; pA=ptlist_1; @@ -4317,7 +4917,7 @@ Drawsegmark(nm,ptlist,options):=( tp=1; tmp1=Divoptions(options); eqL=tmp1_5; - color=tmp_(length(tmp)-2); + color=tmp1_(length(tmp1)-2);//180704 forall(eqL, tmp=indexof(#,"="); tmp1=substring(#,tmp,length(#)); @@ -4340,29 +4940,31 @@ Drawsegmark(nm,ptlist,options):=( if(tp==1, tmp1=mid+size*nor; tmp2=mid-size*nor; - Listplot(name,[tmp1,tmp2]); + Listplot(name,[tmp1,tmp2],["Color="+text(color)]);//180704 ); if(tp==2, tmp1=mid+wid*dir+size*nor; tmp2=mid+wid*dir-size*nor; - Listplot(name+"r",[tmp1,tmp2]); + Listplot(name+"r",[tmp1,tmp2],["Color="+text(color)]);//180704 tmp1=mid-wid*dir+size*nor; tmp2=mid-wid*dir-size*nor; - Listplot(name+"l",[tmp1,tmp2]); + Listplot(name+"l",[tmp1,tmp2],["Color="+text(color)]);//180704 ); if(tp==3, tmp1=mid; tmp2=mid+size*dir; - Circledata(name,[tmp1,tmp2]); + Circledata(name,[tmp1,tmp2],["Color="+text(color)]);//180704 ); if(tp==4, tmp=mid+size*2/sqrt(3)*nor; tmp1=mid+size*dir-size/sqrt(3)*nor; tmp2=mid-size*dir-size/sqrt(3)*nor; - Listplot(name,[tmp,tmp1,tmp2,tmp]); + Listplot(name,[tmp,tmp1,tmp2,tmp],["Color="+text(color)]);//180704 ); ); +////%Segmark end//// +////%Parabolaplot start//// Parabolaplot(nm,ptlist):=Parabolaplot(nm,ptlist,"[-5,5]",[]); Parabolaplot(nm,ptlist,Arg):=( regional(rng,options); @@ -4404,7 +5006,9 @@ Parabolaplot(nm,ptlist,rng,options):=( Plotdata(nm+"para",tmp,tmp2,append(options,"nodisp")); Rotatedata(nm+"para","gr"+nm+"para",angle,append(options,pB)); ); +////%Parabolaplot end//// +////%Ellipseplot start//// Ellipseplot(nm,ptlist):=Ellipseplot(nm,ptlist,"[0,2*pi]",[]); Ellipseplot(nm,ptlist,Arg):=( regional(rng,options); @@ -4449,7 +5053,9 @@ Ellipseplot(nm,ptlist,rng,options):=( Paramplot(nm+"elp",tmp,"t="+rng,append(options,"nodisp")); Rotatedata(nm+"elp","gp"+nm+"elp",angle,append(options,pA)); ); +////%Ellipseplot end//// +////%Hyperbolaplot start//// Hyperbolaplot(nm,ptlist):=Hyperbolaplot(nm,ptlist,"[-5/2,5/2]",[]); Hyperbolaplot(nm,ptlist,Arg):=( regional(rng,options); @@ -4515,11 +5121,28 @@ Hyperbolaplot(nm,ptlist,rng,optionsorg):=( Rotatedata(nm+"asy2","ln"+nm+"asy2",angle,append(opasy,pA));//180408 ); ); +////%Hyperbolaplot end//// +////%Polygonplot start//// Polygonplot(nm,ptlist,number):=Polygonplot(nm,ptlist,number,[]); -Polygonplot(nm,ptlist,number,options):=( +Polygonplot(nm,ptlist,number,optionorg):=( //help:Polygonplot("1",[A,B],12); - regional(rr,pA,pB,ptL,angle,tmp,tmp1,tmp2); +//help:Polygonplot("1",[A,B],12,["Geo=n"]); + regional(options,eqL,geo,rr,pA,pB,ptL,angle,tmp,tmp1,tmp2); +println([4573,ptlist]); + geo="N"; //180708from + options=optionorg; + tmp=Divoptions(options); + eqL=tmp_5; + forall(eqL, + tmp=Strsplit(#,"="); + tmp1=Toupper(substring(tmp_1,0,1)); + tmp2=tmp_2; + if(tmp1=="G", + geo=Toupper(substring(tmp2,0,1)); + options=remove(options,[#]); + ); + ); //180708to pA=Lcrd(ptlist_1); pB=Lcrd(ptlist_2); rr=|pB-pA|; @@ -4538,7 +5161,9 @@ Polygonplot(nm,ptlist,number,options):=( tmp=angle+#*2*pi/number; tmp1=pA+rr*[cos(tmp),sin(tmp)]; if(#>0 & #<number, - Putpoint((ptlist_2).name+text(#),tmp1);//16.10.07 + if((ispoint(ptlist_2))&(geo=="Y"), //180708(3lines) + Putpoint((ptlist_2).name+text(#),tmp1);//16.10.07 + ); //Pointdata(nm,ptL); ); tmp2=tmp1; @@ -4546,7 +5171,9 @@ Polygonplot(nm,ptlist,number,options):=( ); Listplot(nm+"ply",ptL,options); ); +////%Polygonplot end//// +////%Putintersect start//// Putintersect(nm,pdata1,pdata2):=( //help:Putintersect("Q","gr1","gr2"); regional(pd1,pd2,tmp); @@ -4576,23 +5203,35 @@ Putintersect(nm,pdata1,pdata2,ptno):=( err("No intersect point"); ); ); +////%Putintersect end//// +////%Arrowheaddata start//// Arrowheaddata(point,direction):=Arrowheaddata(point,direction,[]); Arrowheaddata(point,direction,options):=( // help:Arrowheaddata(A,B); - regional(list,Ookisa,Hiraki,Futosa,Houkou,Str,Flg,tmp,Ev,Nv,pA,pB, - pP,rF,gG,Flg,Nj,Eps,tmp1,scx,scy); +// help:Arrowheaddata(options=[1,18,"Coord=phy"]); + regional(list,Ookisa,Hiraki,Futosa,Houkou,Str,Flg,Ev,Nv,pA,pB, + reL,eqL,coord,pP,rF,gG,Flg,Nj,Eps,scx,scy,tmp,tmp1,tmp2); Eps=10^(-3); - pP=point; + coord="P"; Ookisa=0.2*YaSize; Hiraki=YaAngle; Futosa=0; Str=YaStyle; tmp=Divoptions(options); - tmp1=tmp_6; - if(length(tmp1)>0,Ookisa=Ookisa*tmp1_1); - if(length(tmp1)>1, - tmp=tmp1_2; + eqL=tmp_5; //181018from + reL=tmp_6; + forall(eqL, + tmp=Strsplit(#,"="); + tmp1=substring(tmp_1,0,1); + tmp2=substring(tmp_2,0,1); + if(Toupper(tmp1)=="C", + coord=Touppera(tmp2); + ); + ); //181018to + if(length(reL)>0,Ookisa=Ookisa*reL_1); + if(length(reL)>1, + tmp=reL_2; if(tmp<5, Hiraki=Hiraki*tmp; , @@ -4601,17 +5240,22 @@ Arrowheaddata(point,direction,options):=( ); Flg=0; Hiraki=Hiraki*pi/180; + if(ispoint(direction),Houkou=direction.xy); //181018 if(isstring(direction),Houkou=parse(direction),Houkou=direction); if(MeasureDepth(Houkou)==2,Houkou=Houkou_1); + if(coord=="P",//181018from + if(ispoint(point),pP=point.xy,pP=point); + , + pP=Pcrd(point); + if(!islist(Houkou_1), + Houkou=Pcrd(Houkou); + , + Houkou=apply(Houkou,Pcrd(#)); + ); + );//181018to if(islist(Houkou_1), -// pP=Lcrd(pP); -// pP=Doscaling(pP); -// Houkou=Dosscaling(Houkou); - pP=Pcrd(pP); - scy=SCALEY; - SCALEY=1; tmp=Nearestpt(pP,Houkou); - pA=tmp_1; + pP=tmp_1; rF=floor(tmp_2); if(rF==1, if(|Ptend(Houkou)-Ptstart(Houkou)|<Eps, @@ -4623,34 +5267,22 @@ Arrowheaddata(point,direction,options):=( forall(1..rF,Nj, if(Flg==0, pB=Ptcrv(rF+1-Nj,Houkou); - tmp=IntersectcrvsPp([pA,pB],gG); + tmp1=apply([pP,pB],LLcrd(#)); + tmp2=apply(gG,LLcrd(#)); + tmp=IntersectcrvsPp([pP,pB],gG); if(length(tmp)>0, - Houkou=pP-tmp_1_1; + Houkou=pP-Pcrd(tmp_1_1); Flg=1; ); - pA=pB; ); ); - SCALEY=scy; if(Flg==0, println("Arrowhead may be too large (no intersect)"); Flg=2; ); - if(Flg==1, - Houkou=Unscaling(Houkou); - pP=Unscaling(pP); - ); ); if(Flg<2, -// pP=Doscaling(pP); -// Houkou=Doscaling(Houkou); - pP=Pcrd(pP); - if(!ispoint(point), - Houkou=Pcrd(Houkou); - ); -// if(MeasureDepth(Houkou)==0,Houkou=Pcrd(Houkou)); Ev=-1/|Houkou|*Houkou; - Ev=Lcrd(Ev); Nv=[-Ev_2, Ev_1]; if(indexof(Str,"c")>0, pP=pP-0.5*Ookisa*cos(Hiraki)*Ev; @@ -4661,211 +5293,192 @@ Arrowheaddata(point,direction,options):=( pA=pP+Ookisa*cos(Hiraki)*Ev+Ookisa*sin(Hiraki)*Nv; pB=pP+Ookisa*cos(Hiraki)*Ev-Ookisa*sin(Hiraki)*Nv; list=[pA,pP,pB]; - list=apply(list,LLcrd(#)); -// Out=Unscaling(Out); list; ); ); +////%Arrowheaddata end//// -Arrowhead(point,Houkou):=Arrowhead(point,Houkou,[]); -Arrowhead(point,Houkou,options):=( -//help:Arrowhead(B,B-A,[1.5,30]); -//help:Arrowhead(A,"gr1"); - // global ArrowheadNumber - regional(name,Ltype,Noflg,reL,opstr,opcindy,color, - ptstr,hostr,tmp,tmp1,list); - name="arh"+text(ArrowheadNumber); - ArrowheadNumber=ArrowheadNumber+1; - ptstr=textformat(point,5); - if(isstring(Houkou), // 15.01.11 - tmp=parse(Houkou); - if(MeasureDepth(tmp)<2, - hostr=Houkou; - , - hostr=Houkou+"(1)"; - ); +////%Arrowhead start//// +Arrowhead(point,Houkou):=Arrowhead(point,Houkou,[]); //181018from +Arrowhead(Arg1,Arg2,Arg3):=( + if(isstring(Arg1), + Arrowhead(Arg1,Arg2,Arg3,[]); , - if(ispoint(point), - hostr=textformat(LLcrd(Houkou),5); - , - hostr=textformat(Houkou,5); - ); + Arrowhead(text(ArrowheadNumber),Arg1,Arg2,Arg3); ); +); +Arrowhead(nm,point,direction,optionsorg):=(//181018from +//help:Arrowhead("1",B,B-A); +//help:Arrowhead(options=[1.5,30,"Coor=P(L)"]); +//help:Arrowhead(A,"gr1"); + regional(name,Ltype,Noflg,reL,opstr,opcindy,color,eqL,coord, + options,pP,Houkou,ptstr,hostr,tmp,tmp1,tmp2,list); + name="arh"+nm; //181018 + ArrowheadNumber=ArrowheadNumber+1; + options=optionsorg; tmp=Divoptions(options); Ltype=tmp_1; Noflg=tmp_2; reL=tmp_6; color=tmp_(length(tmp)-2); - opstr=tmp_(length(tmp)-1); - opcindy=tmp_(length(tmp)); - list=Arrowheaddata(point,Houkou,options); + eqL=tmp_5; + coord="P"; + forall(eqL, + tmp=Strsplit(#,"="); + tmp1=substring(tmp_1,0,1); + tmp2=substring(tmp_2,0,1); + if(Toupper(tmp1)=="C", + coord=Touppera(tmp2); + options=remove(options,[#]); + ); + ); //181018to + if(ispoint(direction),Houkou=direction.xy); //181018 + if(isstring(direction),Houkou=parse(direction),Houkou=direction); + if(MeasureDepth(Houkou)==2,Houkou=Houkou_1); + if(coord=="P",//181018from + if(ispoint(point),pP=point.xy,pP=point); + , + pP=Pcrd(point); + if(!islist(Houkou_1), + Houkou=Pcrd(Houkou); + , + Houkou=apply(Houkou,Pcrd(#)); + ); + );//181018to + list=Arrowheaddata(pP,Houkou,options); + if(!Inwindow(LLcrd(pP)),Noflg=2);//181018 if(Noflg<3, -// println("generate Arrowhead "+name); - tmp1=apply(list,Pcrd(#)); + tmp1=apply(list,LLcrd(#)); tmp=name+"="+textformat(tmp1,5); parse(tmp); -// GLIST=append(GLIST,name+"=Listplot("+list+")"); ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(1)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , -// if(Noflg==1,Ltype=0); - Ltype=0; + Listplot("-arh"+nm,apply(list,LLcrd(#)),concat(options,["notex","Msg=n"])); ); - GCLIST=append(GCLIST,[name,Ltype,opcindy]); ); if(Noflg==0, - if(length(reL)<3, // 16.04.09 from - forall(1..(2-length(reL)), - opstr=opstr+",1"; - ); - tmp=PenThick/PenThickInit; - opstr=opstr+","+text(tmp); - ); // 16.04.09 until - Com2nd("Arrowhead("+ptstr+","+hostr+opstr+")"); - ); -); - -Arrowdata(ptlist):=Arrowdata(ptlist,[]); -Arrowdata(Arg1,Arg2):=( - regional(tmp,nm,ptlist,flg,pA,pB,options); - flg=0; - if(isstring(Arg1), - nm=Arg1; - ptlist=Arg2; - Arrowdata(nm,ptlist,[]); - flg=1; - ); - if(flg==0, - tmp=MeasureDepth(Arg1); - if(tmp==0, - pA=Arg1; - pB=Arg2; - Arrowdata(pA,pB,[]); - , - ptlist=Arg1; - options=Arg2; - nm=text(ArrowlineNumber); - ArrowlineNumber=ArrowlineNumber+1; - Arrowdata(nm,ptlist,options); - ); - ); -); -Arrowdata(Arg1,Arg2,options):=( -//help:Arrowdata([A,B],[2,10]); -//help:Arrowdata("1",[p1,p2]); - regional(Retflg,nm,ptlist,name,opstr,opcindy,realL,strL,size, - flg,Ltype,Noflg,lineflg,tmp,tmp1,tmp2,pA,pB,segpos,color); - Retflg=0; - Noflg=0; - Ltype=0; - if(!isstring(Arg1), - pA=Arg1; - pB=Arg2; - Arrowdata(pA,pB,options,"old"); - Retflg=1; - ptlist=[pA,pB]; - ); - if(Retflg==0, - nm=Arg1; - ptlist=Arg2; - name="ar"+nm; tmp=Divoptions(options); - Ltype=tmp_1; - Noflg=tmp_2; - realL=tmp_6; - strL=tmp_7; - color=tmp_(length(tmp)-2); opstr=tmp_(length(tmp)-1); - opcindy=tmp_(length(tmp)); - size=1; // 15.06.11 - if(length(realL)>0, - size=realL_1; + ptstr=Textformat(LLcrd(pP),5); + if(isstring(direction), //181019 + hostr=direction; + , + if(!islist(Houkou_1), + hostr=format(LLcrd(Houkou),5); + , + hostr=format(apply(Houkou,LLcrd(#)),5); + ); ); - tmp2=select(strL,indexof(#,"l")>0); // 16.04.09 - if(length(tmp2)>0,lineflg=1,lineflg=0); // 16.04.09 - segpos=1; - tmp1=tmp_5; - if(length(tmp1)>2, - segpos=tmp1_3; + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 ); - if(Noflg<3, -// println("generate Arrowdata "+name); - tmp1=apply(ptlist,Pcrd(#)); - tmp=name+"="+textformat(tmp1,5); - parse(tmp); - tmp1=Pcrd(ptlist_1);//16.10.20 - tmp2=Pcrd(ptlist_2);//16.10.20 - if(lineflg==0, // 16.04.09 from - tmp=tmp2-0.2*size/2*(tmp2-tmp1)/|tmp2-tmp1|; // 15.06.11 - , - tmp=tmp2; - ); // 16.04.09 until - tmp=[LLcrd(tmp1),LLcrd(tmp)];//16.10.20 - GLIST=append(GLIST,name+"=Listplot("+textformat(tmp,5)+")"); + Com2nd("Arrowhead("+ptstr+","+hostr+opstr+")"); + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("}");//180722 ); - if(Noflg<2, - if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , - if(Noflg==1,Ltype=0); - ); - tmp=textformat(ptlist,5); - tmp=substring(tmp,1,length(tmp)-1); - tmp1=indexof(tmp,"],["); - if(tmp1>0, - pA=substring(tmp,0,tmp1); - pB=substring(tmp,tmp1+1,length(tmp)); - , - tmp1=indexof(tmp,","); - pA=substring(tmp,0,tmp1-1); - pB=substring(tmp,tmp1,length(tmp)); - ); - tmp1="Lcrd("+pA+")+" - +textformat(segpos,5)+"*(Lcrd("+pB+")-"+"Lcrd("+pA+"))"; - tmp1=parse(tmp1); - tmp2="Lcrd("+pB+")-Lcrd("+pA+")"; - tmp2=parse(tmp2); - Arrowhead(tmp1,tmp2,options); - GCLIST=append(GCLIST,[name,Ltype,opcindy]); +); +); +////%Arrowhead end//// + +////%Arrowdata start//// +Arrowdata(nm,ptlist):=Arrowdata(nm,ptlist,[]); +Arrowdata(nm,ptlist,optionsorg):=( +//help:Arrowdata("1",[A,B]); +//help:Arrowdata("1",[pt1,pt2]); +//help:Arrowdata(options=[1,18,pos(1),cut(0),"Cutend=0,0","Coord=p/n"]); + regional(options,Ltype,Noflg,name,opstr,opcindy,eqL,reL,strL,color,size,coord, + flg,lineflg,cutend,tmp,tmp1,tmp2,pA,pB,angle,segpos); + name="ar"+nm; + options=optionsorg; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + eqL=tmp_5; + reL=tmp_6; + strL=tmp_7; + color=tmp_(length(tmp)-2); + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + size=1; // 15.06.11 + angle=18; + segpos=1; + if(length(reL)>0, + size=relL_1; + if(length(reL)>1, //180719from + angle=reL_2; + if(length(reL)>2, + segpos=reL_3; + ); + );//180719to + ); + lineflg=0; + if(contains(strL,"l")%contains(strL,"L"), + lineflg=1; + );//181018from + options=remove(options,strL); + cutend=[0,0];//180719 + coord="P";//181018 + forall(eqL, + tmp=Strsplit(#,"="); + tmp1=Toupper(substring(tmp_1,0,2)); + tmp2=tmp_2; + if(tmp1=="CU",//180719from + tmp2=replace(tmp2,"[",""); + tmp2=replace(tmp2,"]",""); + cutend=tokenize(tmp2,","); + if(length(cutend)==1,cutend=[cutend_1,cutend_1]); + options=remove(options,[#]); + ); + if(tmp1=="CO",//181018from + coord=Toupper(substring(tmp2,0,1)); + options=remove(options,[#]); ); ); - ptlist; -); -Arrowdata(pA,pB,options,str):=( - regional(ptA,ptB,opstr,Astr,Bstr,name,tmp,opcindy); - Astr=textformat(pA,5); - Bstr=textformat(pB,5); - name="ar"+pA.name+pB.name; - println("generate Arrow "+name); - opstr=""; - opcindy=""; - forall(options, - if(isstring(#), - if(indexof(#,"->")>0, - opcindy=opcindy+","+#; - , - tmp="'"+#+"'"; - ); + if(coord=="P", + pA=ptlist_1; pB=ptlist_2; + if(ispoint(pA),pA=pA.xy); + if(ispoint(pB),pB=pB.xy); + , + pA=Pcrd(ptlist_1); pB=Pcrd(ptlist_2); + );//181018to + if(Noflg<3, + println("generate Arrowdata "+name); + if(|cutend|>0,//180719from + tmp=ptlist_2-ptlist_1; + tmp=tmp/|tmp|; + ptlist_1=ptlist_1+tmp*cutend_1; + ptlist_2=ptlist_2-tmp*cutend_2; + );//180719to + tmp=name+"="+Textformat([pA,pB],5); + parse(tmp); + if(lineflg==0, // 16.04.09 from + tmp=pA-0.2*size/2*(pB-pA)/|pB-pA|; // 15.06.11 , - tmp=text(#); + tmp=pB; + ); // 16.04.09 until + tmp=format([LLcrd(pA),LLcrd(tmp)],6); + ); + if(Noflg<2, + if(isstring(Ltype), +// if((Noflg==0)&(color!=KCOLOR), //180904 +// Texcom("{");Com2nd("Setcolor("+color+")");//180722 +// ); + Listplot("-ar"+nm,[LLcrd(pA),LLcrd(pB)],append(options,"Msg=n")); + Arrowhead(nm,pB,pB-pA,options); +// Ltype=GetLinestyle(text(Noflg)+Ltype,name); +// if((Noflg==0)&(color!=KCOLOR), //180904 +// Texcom("}");//180722 +// ); + , + if(Noflg==1,Ltype=0); ); - opstr=opstr+","+tmp; ); - ptA=Lcrd(pA); - ptB=Lcrd(pB); - Arrowheaddata(ptB,ptB-ptA,options); - tmp="connect("+textformat([ptA,ptB],5) - +",linecolor->"+text(KCOLOR)+opcindy+");"; - parse(tmp); // 14.11.17 - Com2nd("Arrowline("+Astr+","+Bstr+opstr+")"); // 14.10.04 + [Lcrd(pA),Lcrd(pB)]; ); +////%Arrowdata end//// +////%Anglemark start//// Anglemark(plist):=Anglemark(plist,[]); Anglemark(Arg1,Arg2):=( // 2015.04.28 from regional(nm,plist,options,tmp); @@ -4958,10 +5571,14 @@ Anglemark(nm,plist,options):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -4969,7 +5586,9 @@ Anglemark(nm,plist,options):=( ); Out; ); +////%Anglemark end//// +////%Paramark start//// Paramark(plist):=Paramark(plist,[]); Paramark(Arg1,Arg2):=( // 17.03.27 from regional(nm,plist,options,tmp); @@ -4985,7 +5604,7 @@ Paramark(Arg1,Arg2):=( // 17.03.27 from nm=substring(tmp,1,length(tmp)-1); Paramark(nm,plist,options); ); -);// until +);// to Paramark(nm,plist,options):=( //help:Paramark([A,B,C],["E=\theta"]); //help:Paramark("1",[p1,p2,p3],["E=\theta"]); @@ -5012,7 +5631,7 @@ Paramark(nm,plist,options):=( if(substring(#,0,1)=="L",Bname="Letter("); if(substring(#,0,1)=="E",Bname="Expr("); Bpos="md"+name; - Bname=Bname+Dq+Bpos+Dq+","+Dq+"c"+Dq+","+Dq; + Bname=Bname+Bpos+","+Dq+"c"+Dq+","+Dq; //180705 tmp=substring(#,indexof(#,"="),length(#)); tmp1=indexof(tmp,","); Bname=Bname+substring(tmp,tmp1,length(tmp))+Dq+")"; @@ -5043,17 +5662,23 @@ Paramark(nm,plist,options):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); ); Out; ); +////%Paramark end//// +////%MakeBowdata start//// MakeBowdata(pA,pB,Hgt):=( regional(angle,pB2,pH2,pC2,pC,tmp,Th1,Th2,ra,dMA); angle=arctan2(pB-pA)+0; @@ -5068,7 +5693,9 @@ MakeBowdata(pA,pB,Hgt):=( Th2=arctan2(pB2-pC2)+angle; [pC,ra,Th1,Th2]; ); +////%MakeBowdata end//// +////%Bowdata start//// Bowdata(plist):=Bowdata(plist,[]); Bowdata(plist,options):=( regional(nm,tmp); @@ -5165,7 +5792,7 @@ Bowdata(nm,plist,options):=( Bname=Bname+Bpos;//16.11.01 if(abs(Tmov)+abs(Nmov)>0, tmp=Pcrd(pA)-Pcrd(pB); - tmp1=1/norm(tmp)*tmp; + tmp1=1/Norm(tmp)*tmp; tmp2=[-tmp1_2,tmp1_1]; tmp=MARKLEN*(Tmov*tmp1+Nmov*tmp2); tmp=LLcrd(tmp); @@ -5222,21 +5849,29 @@ Bowdata(nm,plist,options):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); ); ); +////%Bowdata end//// +////%Bowname start//// Bowname(str):=Bowname("c",str); Bowname(dir,str):=( Expr([BOWMIDDLE,dir,str]); ); +////%Bowname end//// +////%Bownamerot start//// Bownamerot(bwdata,str):=Bownamerot(bwdata,0,0,str,1); Bownamerot(bwdata,str,updown):=Bownamerot(bwdata,0,0,str,updown); Bownamerot(bwdata,tmov,nmov,str):=Bownamerot(bwdata,tmov,nmov,str,1); @@ -5252,7 +5887,9 @@ Bownamerot(bwdata,tmov,nmov,str,updown):=( if(updown<0,tmp=-tmp); Exprrot(BOWMIDDLE,tmp,tmov,nmov,str); ); +////%Bownamerot end//// +////%Deqdata start//// Deqdata(deq,rng,initt,initf,Num):=( //17.10.04 // Deqdata("[x1,...xn]`=[f1,...fn]","t=[0,20]",0,[...],50); regional(Eps,Inf,tname,Xname,func,t1,t2,dt,tt,X0,flg, @@ -5312,7 +5949,9 @@ Deqdata(deq,rng,initt,initf,Num):=( //17.10.04 ); pdL; ); - +////%Deqdata end//// + +////%Deqplot start//// Deqplot(nm,deq,rng,initf):=Deqplot(nm,deq,rng,Lcrd(initf)_1,initf,[]); Deqplot(nm,deq,rng,Arg1,Arg2):=( regional(initt,initf,options); @@ -5426,15 +6065,20 @@ Deqplot(nm,deqorg,rngorg,initt,initf,options):=( //17.10.06 ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); ); ); +////%Deqplot end//// ////////// old enclosing /////////////// @@ -5442,7 +6086,7 @@ Enclosing(nm,plist):=EnclosingS(nm,plist); Enclosing(nm,plist,options):=EnclosingS(nm,plist,options); EnclosingS(nm,plist):=EnclosingS(nm,plist,[]); EnclosingS(nm,plist,options):=( -//help:Enclosing("1",["sc2","crAB","sc2","Invert(sc1)"],[pt,"dr"]); +// help:Enclosing("1",["sc2","crAB","sc2","Invert(sc1)"],[pt,"dr"]); regional(name,AnsL,Start,Eps,EEps,S,Flg,Fdata,Gdata,KL,pt,qt,color t1,t2,t3,ii,nn,tmp,tmp1,tmp2,Ltype,Noflg,realL,eqL,opstr,opcindy); name="en"+nm; @@ -5492,10 +6136,10 @@ EnclosingS(nm,plist,options):=( , pt=KL_1_1; t1=KL_1_2; - tmp=|pt-Start|; + tmp=Norm(pt-Start); forall(2..(length(KL)),ii, // 15.04.20 tmp1=KL_ii_1; - tmp2=|tmp1-Start|; // 15.04.20 + tmp2=Norm(tmp1-Start); // 15.04.20 if(tmp2<tmp, pt=tmp1; t1=KL_ii_2; @@ -5582,10 +6226,14 @@ EnclosingS(nm,plist,options):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -5596,13 +6244,16 @@ EnclosingS(nm,plist,options):=( /////////// new enclosing /////////// +////%Enclosing start//// +Enclosing(nm,plist):=Enclosing2(nm,plist,[]);//180706(2lines) +Enclosing(nm,plistorg,options):=Enclosing2(nm,plistorg,options); Enclosing2(nm,plist):=Enclosing2(nm,plist,[]); Enclosing2(nm,plistorg,options):=( -//help:Enclosing2("1",["sc2","crAB","sc2","Invert(sc1)"]); -//help:Enclosing2(options=[Eps1(0.01),Eps2(0.1)]); +//help:Enclosing("1",["sg2","gr1","Invert(sg2)"]); +//help:Enclosing(options=[startpoint,epspara(1)]); regional(name,plist,AnsL,Start,Eps,Eps1,Eps2,flg,Fdata,Gdata,KL, t1,t2,tst,ss,ii,nn,nxtno,Ltype,Noflg,realL,eqL,opstr,opcindy, - tmp,tmp1,tmp2,color); + tmp,tmp1,tmp2,color,epspara,p1,p2); name="en"+nm; plist=plistorg; tmp=Divoptions(options); @@ -5614,16 +6265,18 @@ Enclosing2(nm,plistorg,options):=( opstr=tmp_(length(tmp)-1); opcindy=tmp_(length(tmp)); Eps=10^(-5); // 16.12.05 + epspara=1; //180707 Eps1=0.01; Eps2=0.1; Start=[]; flg=0; forall(realL, if(isList(#) % ispoint(#), -// Start=Lcrd(#); // 18.02.02 + Start=Lcrd(#); // 18.02.02 , - if(flg==0,Eps1=#); - if(flg==1,Eps2=#); + if(flg==0,epspara=#);//180707 + if(flg==1,Eps1=#); + if(flg==2,Eps2=#); flg=flg+1; ); ); @@ -5652,7 +6305,8 @@ Enclosing2(nm,plistorg,options):=( tmp=Listplot(name,[tmp1,tmp2],["nodisp"]); plist=append(plist,"sg"+name); Start=tmp2; - tst=1; //18.02.02until + tst=1; //18.02.02to + p1=Start; , if(length(KL)==1, tst=KL_1_2; @@ -5666,7 +6320,7 @@ Enclosing2(nm,plistorg,options):=( , tmp=apply(KL,|#_1-Start|); tmp=min(tmp); - tmp1=select(KL,|#_1-Start|==tmp); + tmp1=select(KL,|#_1-Start|<tmp+Eps1);//180718 tst=tmp1_1_2; Start=Pointoncurve(tst,Fdata); ); @@ -5675,6 +6329,7 @@ Enclosing2(nm,plistorg,options):=( ); if(flg==0, t1=tst; + p1=Pointoncurve(t1,Fdata); //180713 println("Start point of enclosing is "+text(Start)); forall(1..(length(plist)),nn, Fdata=plist_nn; @@ -5691,11 +6346,17 @@ Enclosing2(nm,plistorg,options):=( parse(tmp); plist_nxtno=Gdata; t2=Length(tmp1); - ss=1; //18.02.02until + p2=Pointoncurve(t2,Fdata); //180713 + ss=1; //18.02.02to , + KL=sort(KL,[#_2]);//180706 + tmp=parse(Fdata); + tmp1=t1+epspara/50*length(tmp); +// KL=select(KL,#_2>t1+epspara/50*length(tmp)); //180707 + KL=select(KL,(#_2>tmp1)%((#_2>t1)&(|#_1-p1|>Eps1))); //180713,16 t2=KL_1_2; ss=KL_1_3; - if(abs(t2-t1)<Eps, + if(abs(t2-t1)<Eps,//180707 if(length(KL)>1, t2=KL_2_2; ss=KL_2_3; @@ -5712,12 +6373,13 @@ Enclosing2(nm,plistorg,options):=( , AnsL=concat(AnsL,tmp_(2..(length(tmp)))); ); - t1=ss; ); + t1=ss;//180706 + p1=Pointoncurve(t1,Gdata); //180713 ); ); if(flg==0, - AnsL=apply(AnsL,Pcrd(#)); + AnsL=apply(AnsL,Pcrd(#)); ); if(Noflg<3, println("generate Enclosing "+name); @@ -5728,15 +6390,21 @@ Enclosing2(nm,plistorg,options):=( forall(plistorg, //18.02.02 tmp1=tmp1+#+","; ); - tmp=tmp+substring(tmp1,0,length(tmp1)-1)+"))";//18.02.02 + tmp=tmp+substring(tmp1,0,length(tmp1)-1)+")";//18.0706from + if(length(Start)>0,tmp=tmp+","+Textformat(Start,6)); + tmp=tmp+","+text(epspara)+")";//18.0706to,180707 GLIST=append(GLIST,tmp);//16.11.07until ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -5744,16 +6412,18 @@ Enclosing2(nm,plistorg,options):=( tmp=apply(AnsL,LLcrd(#));//16.10.20 tmp; ); +////%Enclosing end//// /////////// end of new enclosing /////////// /////////// new Hatchdata(cindy) /////////// +////%Makehatch start//// Makehatch(iolistorg,pt,vec,bdylist):=( regional(Eps,iolist,sg,bdy,out,nb,tenL,ns,ne,ioL, ii,jj,kk,nvec,nbdy,sgn1,sgn2,flg,rmL,p0,p1,p2,pL, Scalebkup,tmp,tmp1,tmp2); - Eps=10^(-6); + Eps=10^(-5); nvec=[-vec_2,vec_1]; nvec=nvec/|nvec|; if(!islist(iolistorg),iolist=[iolistorg],iolist=iolistorg); @@ -5763,7 +6433,8 @@ Makehatch(iolistorg,pt,vec,bdylist):=( tmp="["+substring(tmp,0,length(tmp)-1)+"]"; iolist_#=parse(tmp); ); - Scalebkup=SCALEY; + Scalebkup=[SCALEX,SCALEY];//181020(2lines) + SCALEX=1; SCALEY=1; sg=Lineplot("",[pt,pt+vec],["nodata"]); nb=length(bdylist); @@ -5780,7 +6451,17 @@ Makehatch(iolistorg,pt,vec,bdylist):=( tmp=Intersectseg(sg,[p1,p2],Eps); if(abs(tmp_1)<Eps, //18.02.01 p0=tmp_2; t=tmp_3; s=tmp_4; - pL=append(pL,[p0,t,s,ii]); + flg=0; //181003from + forall(pL, + if(flg==0, + if(Norm(#_1-p0)<Eps, + flg=1; + ); + ); + ); + if(flg==0, + pL=append(pL,[p0,t,s,ii]); + ); //181003to ); ); if(length(pL)>0, @@ -5790,6 +6471,21 @@ Makehatch(iolistorg,pt,vec,bdylist):=( ); ); tenL=sort(tenL,[#_2]); + if(length(tenL)>0, //180619from + tmp1=tenL; tenL=[tmp1_1]; + forall(2..(length(tmp1)),ii, //180717from + tmp=tmp1_ii; + flg=0; + forall(tenL, + if((Norm(tmp_1-#_1)<Eps1)&(tmp_4==#_4), + flg=1; + ); + ); + if(flg==0, + tenL=append(tenL,tmp); + ); + );//180717to + ); //180619to ioL=apply(1..nb,0); ns=1; ne=length(tenL); @@ -5804,7 +6500,7 @@ Makehatch(iolistorg,pt,vec,bdylist):=( tmp=[sg_2,-1,2,ioL]; tenL=append(tenL,tmp); ); - forall(ns..ne,ii, + forall(ns..(ne-1),ii, //180619 ne=>ne-1 tmp=tenL_ii; tmp1=tmp_4; tmp2=tmp_5; @@ -5822,17 +6518,49 @@ Makehatch(iolistorg,pt,vec,bdylist):=( ); ); ); - SCALEY=Scalebkup; + SCALEX=Scalebkup_1; //181020 + SCALEY=Scalebkup_2; out; ); +////%Makehatch end//// -Hatchdatacindy(nm,iostr,bdylist):=Hatchdatacindy(nm,iostr,bdylist,[]); -Hatchdata(nm,iostr,bdylist,options):=Hatchdatacindy(nm,iostr,bdylist,options); +////%Hatchdata start//// +Hatchdata(nm,iostr,bdylist):=Hatchdatacindy(nm,iostr,bdylist,[]);//180619 +Hatchdata(nm,iostr,bdylist,optionsorg):=( //181003from + regional(options,tmp,tmp1,tmp2,eqL,strL,outflg); + options=optionsorg; + tmp=Divoptions(options); + eqL=tmp_5; + strL=tmp_7; + outflg=0; + forall(eqL, + tmp=Strsplit(#,"="); + tmp1=Toupper(tmp_1); + if(substring(tmp1,0,1)=="O", + tmp2=tmp_2; + if(tmp2!="n", + outflg=1; + option=remove(options,[#]); + if((tmp2=="m")%(tmp2=="r"), + options=append(options,tmp2);; + ); + ); + ); + ); + if(outflg==0, + options=remove(options,strL); + Hatchdatacindy(nm,iostr,bdylist,options); + , + HatchdataR(nm,iostr,bdylist,options); + ); +); //181003to +Hatchdatacindy(nm,iostr,bdylist):=Hatchdata(nm,iostr,bdylist,[]); Hatchdatacindy(nm,iostr,bdylistorg,options):=( -//help:Hatchdata("1",["ii"],[["ln1","Invert(gr1)"],["gr2","n"]]); -//help:Hatchdata(options=[angle,width]); - regional(name,bdylist,bdynameL,bname,Ltype,Noflg,opstr,opcindy,reL,startP,angle, - interval,vec,nvec,flg,pt,kk,delta,sha,AnsL,tmp,tmp1,tmp2,color); + //help:Hatchdata("1",["ii"],[["ln1","Invert(gr1)"],["gr2","n"]]); +//help:Hatchdata(options=["Out=n(//m/r)","Maxnum=20",angle,width]); + regional(name,bdylist,bdynameL,bname,Ltype,Noflg,opstr,opcindy,reL, + eqL,maxnum,startP,angle,interval,vec,nvec,ctr,pt,kk,delta,sha,AnsL, + color,tmp,tmp1,tmp2,tmp3,namep,x1,y1,x2,y2,p1,p2); //180717 name="ha"+nm; bdylist=[]; bdynameL=[]; @@ -5843,34 +6571,55 @@ Hatchdatacindy(nm,iostr,bdylistorg,options):=( , tmp=tmp1_(length(tmp1)); if(contains(["n","s","e","w"],tmp), - tmp2=parse(tmp1_1); + namep=tmp1_1;//180717from + tmp2=parse(namep); + if(substring(namep,0,2)=="ln", //180717from + if(contains(["n","s"],tmp), + x1=tmp2_1_1; y1=tmp2_1_2; x2=tmp2_2_1; y2=tmp2_2_2; + p1=[NE.x,(y2-y1)/(x2-x1)*(NE.x-x1)+y1]; + p2=[SW.x,(y2-y1)/(x2-x1)*(SW.x-x1)+y1]; + Listplot(name+text(kk),[p1,p2],["nodisp"]); + namep="sg"+name+text(kk); + tmp2=parse(namep); + ); + if(contains(["e","w"],tmp), + x1=tmp2_1_1; y1=tmp2_1_2; x2=tmp2_2_1; y2=tmp2_2_2; + p1=[(x2-x1)/(y2-y1)*(NE.y-y1)+x1,NE.y]; + p2=[(x2-x1)/(y2-y1)*(SW.y-y1)+x1,SW.y]; + Listplot(name+text(kk),[p1,p2],["nodisp"]); + namep="sg"+name+text(kk); + tmp2=parse(namep); + ); + );//180717to if(tmp=="s", - Listplot(name,[LLcrd(tmp2_1),[tmp2_1_1,YMIN], - [tmp2_(length(tmp2))_1,YMIN],LLcrd(tmp2_(length(tmp2)))],["nodisp"]); - Joincrvs(text(kk)+name,[tmp1_1,"sg"+name],["nodisp"]); + Listplot(name,[LLcrd(tmp2_1),[tmp2_1_1,2*YMIN-YMAX], //180717(2lines) + [tmp2_(length(tmp2))_1,2*YMIN-YMAX],LLcrd(tmp2_(length(tmp2)))], + ["nodisp"]); + Joincrvs(text(kk)+name,[namep,"sg"+name],["nodisp"]);//180717 bname="join"+text(kk)+name; ); if(tmp=="n", - Listplot(name,[LLcrd(tmp2_1),[tmp2_1_1,YMAX], - [tmp2_(length(tmp2))_1,YMAX],LLcrd(tmp2_(length(tmp2)))],["nodisp"]); - Joincrvs(text(kk)+name,[tmp1_1,"sg"+name],["nodisp"]); + Listplot(name,[LLcrd(tmp2_1),[tmp2_1_1,2*YMAX-YMIN], //180717(2lines) + [tmp2_(length(tmp2))_1,2*YMAX-YMIN],LLcrd(tmp2_(length(tmp2)))], + ["nodisp"]); + Joincrvs(text(kk)+name,[namep,"sg"+name],["nodisp"]); bname="join"+text(kk)+name; ); if(tmp=="e", Listplot(name,apply([tmp2_1,[XMAX,tmp2_1_2], [XMAX,tmp2_(length(tmp2))_2],tmp2_(length(tmp2))],LLcrd(#)),["nodisp"]); - Joincrvs(text(kk)+name,[tmp1_1,"sg"+name],["nodisp"]); + Joincrvs(text(kk)+name,[namep,"sg"+name],["nodisp"]);//180717 bname="join"+text(kk)+name; ); if(tmp=="w", Listplot(name,apply( [tmp2_1,[XMIN,tmp2_1_2], [XMIN,tmp2_(length(tmp2))_2],tmp2_(length(tmp2))],LLcrd(#)),["nodisp"]); - Joincrvs(text(kk)+name,[tmp1_1,"sg"+name],["nodisp"]); + Joincrvs(text(kk)+name,[namep,"sg"+name],["nodisp"]);//180717 bname="join"+text(kk)+name; ); , - Enclosing2(text(#)+name,tmp,["nodisp"]); - bname="en"+text(#)+name; + Enclosing2(text(kk)+name,tmp,["nodisp"]);//180619(2lines); + bname="en"+text(kk)+name; ); ); bdylist=append(bdylist,parse(bname)); @@ -5879,13 +6628,26 @@ Hatchdatacindy(nm,iostr,bdylistorg,options):=( tmp=Divoptions(options); Ltype=tmp_1; Noflg=tmp_2; + eqL=tmp_5; + reL=tmp_6; color=tmp_(length(tmp)-2); opstr=tmp_(length(tmp)-1); opcindy=tmp_(length(tmp)); - reL=tmp_6; angle=45; - interval=0.125*1000/2.54/MilliIn; +// interval=0.125*1000/2.54/MilliIn; + interval=0.25*1000/2.54/MilliIn; //180706 startP=[(XMIN+XMAX)/2, (YMIN+YMAX)/2]; + maxnum=[30,0]; //181005 [first,second] + forall(eqL, + tmp=Strsplit(#,"="); + tmp1=Toupper(tmp_1); + if(substring(tmp1,0,1)=="M", + maxnum=parse(tmp_2); + if(!islist(maxnum), + maxnum=[maxnum,0]; + ); + ); + );//181003to tmp1=1; forall(reL, if(islist(#), @@ -5903,28 +6665,21 @@ Hatchdatacindy(nm,iostr,bdylistorg,options):=( vec=[cos(angle),sin(angle)]; nvec=[-sin(angle),cos(angle)]; AnsL=[]; - flg=0; - forall(0..100,kk, + ctr=0;//181005(2lines) + forall(0..(maxnum_1), kk, pt=startP+kk*interval*nvec; - if(flg==0, - sha=Makehatch(iostr,pt,vec,bdylist); - if((sha==-1)%(length(sha)==0), -// flg=1; - , - AnsL=concat(AnsL,sha); - ); + sha=Makehatch(iostr,pt,vec,bdylist); + if((sha!=-1)&(length(sha)>0), + AnsL=concat(AnsL,sha); + ctr=ctr+1; //181005 ); ); - flg=0; - forall(1..100,kk, + maxnum_2=maxnum_2+(maxnum_1-ctr); //181005 + forall(1..(maxnum_2),kk, //181005 pt=startP-kk*interval*nvec; - if(flg==0, - sha=Makehatch(iostr,pt,vec,bdylist); - if((sha==-1)%(length(sha)==0), -// flg=1; - , - AnsL=concat(AnsL,sha); - ); + sha=Makehatch(iostr,pt,vec,bdylist); + if((sha!=-1)&(length(sha)>0), + AnsL=concat(AnsL,sha); ); ); if(Noflg<3, @@ -5946,10 +6701,14 @@ Hatchdatacindy(nm,iostr,bdylistorg,options):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -5961,8 +6720,9 @@ Hatchdatacindy(nm,iostr,bdylistorg,options):=( ); tmp2; ); +////%Hatchdata end//// - +////%Shade start//// Shade(plist):=Shade("",plist,[]); //180613from Shade(Arg1,Arg2):=( if(isstring(Arg1), @@ -5977,7 +6737,9 @@ Shade(nm,plistorg,options):=( //180613to //help:Shade(["gr2","sg1"],["Color=[0,0,0,0.5]"]); //help:Shade(["gr2","sg1"],["Color=[1,0,0]"]); // help:Shade([[A,B,C,A]]); - regional(name,plist,jj,tmp,tmp1,tmp2,opstr,opcindy,reL,Str,G2,flg,color,ctr); +//help:Shade("1",["gr2","Invert(sg1)"],["Enc=y",startpt]]); + regional(name,plist,jj,tmp,tmp1,tmp2, + opstr,opcindy,eqL,reL,Str,G2,flg,encflg,startpt,color,ctr); name="shade"+nm; plist=plistorg; if(isstring(plist_1), // 16.01.24 @@ -5986,17 +6748,44 @@ Shade(nm,plistorg,options):=( //180613to println("output Shade of lists"); ); tmp=Divoptions(options); + eqL=tmp_5; + reL=tmp_6; color=tmp_(length(tmp)-2); opstr=tmp_(length(tmp)-1); opcindy=tmp_(length(tmp)); - reL=tmp_6; //180603from - if(length(reL)>0, - color=reL_1*color; - );//180603to + tmp=select(plist,indexof(#,"Invert")>0); //180929from + if(length(tmp)>0,encflg=1,encflg=0); + forall(eqL, + tmp=Strsplit(#,"="); + tmp1=Toupper(tmp_1); + tmp2=Toupper(tmp_2); + if(substring(tmp1,0,1)=="E", + if(substring(tmp2,0,1)=="Y", + encflg=1; + ); + if(substring(tmp2,0,1)=="N", + encflg=0; + ); + ); + ); + startpt=[]; + forall(reL, + if(islist(#), + startpt=#; + ); + ); //180929to if(length(color)==4, //180602from tmp=colorCmyk2rgb(color); ); flg=0; ctr=1; + if(encflg==1, //180929from + if(length(startpt)==2, + Enclosing(nm,plist,[startpt,"nodisp"]); + , + Enclosing(nm,plist,["nodisp"]); + ); + plist=["en"+nm]; + ); //180929to forall(1..(length(plist)),jj, //180613from if(flg==0, tmp1=plist_jj; @@ -6038,13 +6827,14 @@ Shade(nm,plistorg,options):=( //180613to ); , tmp1=tmp1+"Listplot("+textformat(#,5)+"),"; - ); // until 16.01.24 + ); //16.01.24to ); - Str=Str+substring(tmp1,0,length(tmp1)-1)+")"+opstr+")"; - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")",["before"])); + Str=Str+substring(tmp1,0,length(tmp1)-1)+")"+")"; //180929 + Com2nd("Texcom("+Dqq("{")+")",["before"]);Com2nd("Setcolor("+color+")",["before"]);//180722 Com2nd(Str,["before"]); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")",["before"])); + Com2nd("Texcom("+Dqq("}")+")",["before"]);//180722 ); +////%Shade end//// /////////// end of new Hatchdata(cindy) /////////// diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic2logr.txt b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic2logr.txt index afbbbad15a7..aec118d8bfa 100644 --- a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic2logr.txt +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic2logr.txt @@ -1,3 +1,64 @@ +// 20181024 +// ReadOutData changed (option Disp= ) +// 20181021 +// Htickmark,Vtickmark debugged ( Setscaling ) +// Partcrv, Pointdata debugged (iif => if ) +// 20181020 +// if(color!=KCOLOR => if((Noflg==0)&(color!=KCOLOR) +// 20181017 +// Htickmark,Vtickmark debugged (for scaling ) +// 20181001 +// Bezier changed (BezierCtrL added as global ) +// 20180917 +// Makebat debugged ( case where work folder is under C ) +// 20180908 +// Presentation debugged (slidepage blank line added ) +// Presentation changed (SlideMargin added) +// 20180904 +// Color setting changed ( for KCOLOR) +// 20180903 +// Presentation changed (ketmargin => setmargin ) +// 20180901 +// Inwindow added +// 20180820,22 +// CRspline chaged (rewritten ) +// 20180820,21 +// Drwxy chaged ( options added ) +// 20180817 +// WritetoRS, Viewtex changed (GPACK added ) +// 20180815 +// Maketitle changed (to make a new text file ) +// 20180813 +// Setslidehyper debugged ( cl,... ) +// 20180809 +// Mkcircles,Mksegment changed +// 20180805 +// Letterrot debugged (' => "") +// Letterrot, Exprrot changed (help ) +// 20180802 +// iftoR debugged ( for nested case ) +// Exprrot debugged ( ' => "") +// 20180725 +// Periodfun changed ( "connect" option) +// 20180724 +// Periodfun debugged and changed (rep=[n,n]) +// 20180722 +// color localized +// 20180721 +// WritetoRS changed (case where "Letter" and "Expr" in Com2ndlist) +// 20180710 +// Htickmark,Vtickmark changed (Expr used ) +// 20180708 +// Putoncurve changed ( Help ) +// 20180701 +// Repeatsameslide changed ( % added to thin ) +// 20180627 +// Presentation debugged ( sort(parafiles)) +// 20180619 +// Writetosci(Arg) added (=WritetoRS(Arg)) +// CRspline changed (Ctrpt not displayed ) +// 20180616 +// presentation debugged (slide title ) // 20180610 // WritetoRS changed ( \\ => /) // 20180608 diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic2r.cs b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic2r.cs index 13b4bd28869..db5421162a5 100644 --- a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic2r.cs +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic2r.cs @@ -14,17 +14,20 @@ // along with this program. If not, see <http://www.gnu.org/licenses/> // -println("ketcindybasic2(20180610) loaded"); +println("ketcindybasic2(20181024) loaded"); //help:start(); +////%Dispchoice start//// Dispchoice():=( if(islist(Ch), if(!isreal(ChNum),ChNum=1); drawtext(mouse().xy,"Ch="+text(Ch)+" N="+text(ChNum),size->24,color->[0,0,1]); ); ); +////%Dispchoice end//// +////%Datetime start//// Datetime():=( //help:Datetime(); regional(names,dt,tmp); @@ -37,7 +40,9 @@ Datetime():=( tmp=text(tmp_1); tmp=[dt_6+"/"+tmp+"/"+dt_3,dt_4]; ); +////%Datetime end//// +////%Rotatepoint start//// Rotatepoint(point,Theta,ctr):=( //help:Rotatepoint(A,2*pi/3,B); regional(X1,X2,Y1,Y2,Cx,Cy,tmp); @@ -49,7 +54,9 @@ Rotatepoint(point,Theta,ctr):=( Y2=Cy+(X1-Cx)*sin(Theta)+(Y1-Cy)*cos(Theta); [X2,Y2]; ); +////%Rotatepoint end//// +////%Translatepoint start//// Translatepoint(point,mov):=( //help:Translatepoint(A,[2,3]); regional(X1,X2,Y1,Y2,Cx,Cy,tmp); @@ -61,7 +68,9 @@ Translatepoint(point,mov):=( Y2=Y1+Cy; [X2,Y2]; ); +////%Translatepoint end//// +////%Scalepoint start//// Scalepoint(point,ratio,center):=( //help:Scalepoint(A,[3,2],[0,0]); regional(X1,X2,Y1,Y2,Cx,Cy,tmp); @@ -73,7 +82,9 @@ Scalepoint(point,ratio,center):=( Y2=Cy+ratio_2*(Y1-Cy); [X2,Y2]; ); +////%Scalepoint end//// +////%Reflectpoint start//// Reflectpoint(point,symL):=( //help:Reflectpoint(A,B); //help:Reflectpoint(A,[[2,3]]); @@ -100,7 +111,9 @@ Reflectpoint(point,symL):=( ); [X2,Y2]; ); +////%Reflectpoint end//// +////%Rotatedata start//// Rotatedata(nm,plist,Theta):=Rotatedata(nm,plist,Theta,[]); Rotatedata(nm,plist,angle,options):=( //help:Rotatedata("1",["crAB","pt1"],pi/3,[[1,5],"dr,2"]); @@ -161,17 +174,23 @@ Rotatedata(nm,plist,angle,options):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); ); PdL; ); +////%Rotatedata end//// +////%Translatedata start//// Translatedata(nm,plist,mov):=Translatedata(nm,plist,mov,[]); Translatedata(nm,plist,mov,options):=( //help:Translatedata("1",["gr1","pt1"],[1,2]); @@ -224,17 +243,23 @@ Translatedata(nm,plist,mov,options):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); ); PdL; ); +////%Translatedata end//// +////%Scaledata start//// Scaledata(nm,plist,ratioV):=( regional(tmp); tmp=ratioV; //180603from @@ -311,17 +336,23 @@ Scaledata(nm,plist,rx,ry,options):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); ); PdL; ); +////%Scaledata end//// +////%Reflectdata start//// Reflectdata(nm,plist,symL):=Reflectdata(nm,plist,symL,[]); Reflectdata(nm,plist,symL,options):=( //help:Reflectdata("1",["crAB"],[C]); @@ -390,21 +421,29 @@ Reflectdata(nm,plist,symL,options):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); ); PdL; ); +////%Reflectdata end//// +// 180800 revised +////%Mksegments start//// Mksegments():=Mksegments([]); Mksegments(options):=( //help:Mksegments(); - regional(segstr,p,q,r,tmp1,tmp2,tmp3); + regional(ctr,segstr,p,q,r,tmp1,tmp2,tmp3); + ctr=1;//180809 forall(allsegments(),seg, str=text(inspect(seg,"definition")); tmp1=indexof(str,"("); @@ -412,33 +451,38 @@ Mksegments(options):=( tmp3=indexof(str,")"); p=substring(str,tmp1,tmp2-1); q=substring(str,tmp2,tmp3-1); - Listplot([parse(p),parse(q)]); + Listplot("all"+text(ctr),[parse(p),parse(q)]);//180800 + ctr=ctr+1; ); ); +////%Mksegments end//// +// 180809 revised +////%Mkcircles start//// Mkcircles():=Mkcircles([]); Mkcircles(options):=( //help:Mkcircles(): - regional(seg,cir,str,p,q,r,tmp1,tmp2,tmp3,tmp4); + regional(str,ctr,tmp,tmp1,tmp2); + ctr=1; forall(allcircles(),cir, str=text(inspect(cir,"definition")); tmp1=indexof(str,"("); - tmp2=indexof(str,";"); - tmp3=indexof(str,")"); - tmp4=indexof(str,";",tmp2+1); - if(tmp4==0, - p=substring(str,tmp1,tmp2-1); - q=substring(str,tmp2,tmp3-1); - Circledata([parse(p),parse(q)]); + tmp2=indexof(str,")"); + str=substring(str,tmp1,tmp2-1); + tmp=Strsplit(str,";"); + tmp1=parse(tmp_1); tmp2=parse(tmp_2); + if(ispoint(tmp2), + Circledata("all"+text(ctr),[tmp1,tmp2],options); , - p=substring(str,tmp1,tmp2-1); - q=substring(str,tmp2,tmp4-1); - r=substring(str,tmp4,tmp3-1); - Circledata([parse(p),parse(q),parse(r)]); + tmp=cir.radius; + Circledata("all"+text(ctr),[tmp1,tmp1+[tmp2,0]],options); ); + ctr=ctr+1; ); ); +////%Mkcircles end//// +////%MakeRarg start//// MakeRarg(arglist):=( regional(str,tmpstr); str=""; @@ -453,7 +497,9 @@ MakeRarg(arglist):=( str=substring(str,0,length(str)-1); str; ); +////%MakeRarg end//// +////%Setax start//// Setax(arglist):=( //help:Setax(["l","x","e","y","n","O","sw"]); //help:Setax([7,"nw"]); @@ -461,22 +507,59 @@ Setax(arglist):=( tmp=MakeRarg(arglist); Com1st("Setax("+tmp+")"); ); +////%Setax end//// +////%Htickmark start//// Htickmark(arglist):=( //help:Htickmark([1,"1",2,"sw","2"]); - regional(tmp); - tmp=""; - tmp=MakeRarg(arglist); - Com2nd("Htickmark("+tmp+")"); + regional(nn,tmp,tmp1,tmp2,mark); + mark=MARKLEN/SCALEY; + tmp1=select(1..(length(arglist)),!isstring(arglist_#)); //180710from + forall(tmp1,nn, + Listplot("ht"+text(nn), + [[arglist_nn,mark],[arglist_nn,-mark]],["Msg=n"]);//181017 + if(nn+2<=length(arglist), + tmp=arglist_(nn+2); + if(!isstring(tmp), + Expr([[arglist_nn,0],"s1",arglist_(nn+1)]); + , + Expr([[arglist_nn,0],arglist_(nn+1),arglist_(nn+2)]); + ); + , + Expr([[arglist_nn,0],"s1",arglist_(nn+1)]); + ); + );//180710to +// tmp=""; +// tmp=MakeRarg(arglist); +// Com2nd("Htickmark("+tmp+")"); ); +////%Htickmark end//// +////%Vtickmark start//// Vtickmark(arglist):=( //help:Vtickmark([1,"1",2,"sw","2"]); - regional(tmp); - tmp=MakeRarg(arglist); - Com2nd("Vtickmark("+tmp+")"); + regional(nn,tmp,tmp1,tmp2,mark); + mark=MARKLEN/SCALEX; + tmp1=select(1..(length(arglist)),!isstring(arglist_#)); //180710from + forall(tmp1,nn, + Listplot("vt"+text(nn), + [[mark,arglist_nn],[-mark,arglist_nn]],["Msg=n"]); //181021 + if(nn+2<=length(arglist), + tmp=arglist_(nn+2); + if(!isstring(tmp), + Expr([[0,arglist_nn],"w1",arglist_(nn+1)]); + , + Expr([[0,arglist_nn],arglist_(nn+1),arglist_(nn+2)]); + ); + , + Expr([[0,arglist_nn],"w1",arglist_(nn+1)]); + ); + );//180710to// tmp=MakeRarg(arglist); +// Com2nd("Vtickmark("+tmp+")"); ); +////%Vtickmark end//// +////%Vtick start//// Vtick(py):=Vtick(py,MARKLEN,[]); Vtick(py,len):=Vtick(py,len,[]); Vtick(py,len,options):=( @@ -488,7 +571,9 @@ Vtick(py,len,options):=( tmp2=[0+len/2,py]; Listplot(tmp,[tmp1,tmp2],options); ); +////%Vtick end//// +////%Htick start//// Htick(px):=Htick(px,MARKLEN,[]); Htick(px,len):=Htick(px,len,[]); Htick(px,lenorg,options):=( @@ -502,13 +587,28 @@ Htick(px,lenorg,options):=( tmp2=[px,0+len/2]; Listplot(tmp,[tmp1,tmp2],options); ); +////%Htick end//// -Drwxy():=( +////%Drwxy start//// +Drwxy():=Drwxy([]); //180820from +Drwxy(options):=( //help:Drwxy(); - Com2nd("Drwxy()"); +//help:Drwxy(options=["Origin=[0,0]","Xrng=","Yrng=","Ax=l,x,e,..."]); + regional(tmp); + tmp=""; + forall(options, + if(length(tmp)>0, + tmp=tmp+","+Dqq(#); + , + tmp=Dqq(#); + ); + ); + Com2nd("Drwxy("+tmp+")"); //180820to Addax(0); // 16.01.21 ); +////%Drwxy end//// +////%Drwpt start//// Drwpt(pstr):=Drawpoint(pstr); Drwpt(ptlist,nn):=( // 16.03.05 from //help:Drwpt(A); @@ -546,12 +646,16 @@ Drawpoint(ptlistorg,nn):=( ); Setpen(thick); // 16.04.09 );// 16.03.05 until +////%Drwpt end//// +////%Addax start//// Addax(param):=( //help:Addax(0); ADDAXES=textformat(param,5); ); +////%Addax end//// +////%Expr start//// Expr(Pt,Dr,St):=Expr([Pt,Dr,St]); Expr(list):=Expr(list,[]); Expr(listorg,options):=( //16.10.09 @@ -567,7 +671,9 @@ Expr(listorg,options):=( //16.10.09 ); Letter(list,options); ); +////%Expr end//// +////%Letter start//// Letter(Pt,Dr,St):=Letter([Pt,Dr,St]); Letter(list):=Letter(list,[]); Letter(list,options):=( @@ -616,10 +722,14 @@ Letter(list,options):=( Str=replace(Str,"`","'");//180303 tmp=Dq+","+Dq+Str+Dq+")"; if(Noflg==0, - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Com2nd("Letter("+Lcrd(Pos)+","+Dq+Dir+tmp);//16.10.10 - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - ); + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Com2nd("Letter("+Lcrd(Pos)+","+Dq+Dir+tmp);//16.10.10 + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("}");//180722 + ); + ); if(Noflg<2, Xmv=0;//16.10.13 Ymv=-4; @@ -652,7 +762,9 @@ Letter(list,options):=( Nj=Nj+3; ); ); +////%Letter end//// +////%Letterrot start//// Letterrot(pt,dir,str):=Letterrot(pt,dir,0,0,str,[]); Letterrot(pt,dir,Arg1,Arg2):=( if(islist(Arg2), @@ -662,9 +774,10 @@ Letterrot(pt,dir,Arg1,Arg2):=( ); ); Letterrot(pt,dir,movstr,str,options):=( -//help:Letterrot(C,B-A,"AB"): -//help:Letterrot(C,B-A,0,5,"AB"): -//help:Letterrot(C,B-A,"t0n5","AB"): +// help:Letterrot(C,B-A,"AB"); +// help:Letterrot(C,B-A,0,5,"AB"); +//help:Letterrot(C,B-A,AB",["Size=20"]); +//help:Letterrot(C,B-A,"t0n5","AB"); regional(tmov,nmov,tmp,tmp1,tmp2,color); tmp1=indexof(movstr,"t"); tmp2=indexof(movstr,"n"); @@ -687,11 +800,17 @@ Letterrot(pt,dir,tmov,nmov,str,options):=( color=tmp_(length(tmp)-2); Letter([pt,"c",str],append(options,"notex")); tmp=replace(str,"\","\\"); //17.10.18 - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Com2nd("Letterrot("+pt+","+dir+","+tmov+","+nmov+",'"+tmp+"')"); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); + if(color!=KCOLOR, //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Com2nd("Letterrot("+pt+","+dir+","+tmov+","+nmov+","+Dqq(tmp)+")");//180805 + if(color!=KCOLOR, //180904 + Texcom("}");//180722 + ); ); +////%Letterrot end//// +////%Exprrot start//// Exprrot(pt,dir,str):=Exprrot(pt,dir,0,0,str,[]); Exprrot(pt,dir,Arg1,Arg2):=( if(islist(Arg2), @@ -701,9 +820,10 @@ Exprrot(pt,dir,Arg1,Arg2):=( ); ); Exprrot(pt,dir,movstr,str,options):=( -//help:Exprrot(C,B-A,"d"): -//help:Exprrot(C,B-A,0,5,"d"): -//help:Exprrot(C,B-A,"t0n5","d"): +// help:Exprrot(C,B-A,"d"); +// help:Exprrot(C,B-A,0,5,"d"); +//help:Exprrot(C,B-A,"d",["Color=red"]); +//help:Exprrot(C,B-A,"t0n5","d"); regional(tmov,nmov,tmp,tmp1,tmp2,color); tmp1=indexof(movstr,"t"); tmp2=indexof(movstr,"n"); @@ -726,11 +846,17 @@ Exprrot(pt,dir,tmov,nmov,str,options):=( color=tmp_(length(tmp)-2); Expr([pt,"c",str],append(options,"notex")); tmp=replace(str,"\","\\"); //17.10.18 - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Com2nd("Exprrot("+pt+","+dir+","+tmov+","+nmov+",'"+tmp+"')"); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); + if(color!=KCOLOR, //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Com2nd("Exprrot("+pt+","+dir+","+tmov+","+nmov+","+Dqq(tmp)+")");//180802 + if(color!=KCOLOR, //180904 + Texcom("}");//180722 + ); ); +////%Exprrot end//// +////%Slider start//// Putslider(ptstr,p1,p2):=Slider(ptstr,p1,p2); Slider(ptstr,p1,p2):=( //17.04.11 //help:Slider("A-C-B",[-3,0],[3,0]); @@ -759,7 +885,9 @@ Slider(ptstr,p1,p2):=( //17.04.11 Putonseg(pC,parse("sg"+pA+pB)); // create([pC],"PointOn",[parse(sname),0.5]); ); +////%Slider end//// +////%Putpoint start//// Putpoint(name,Pt):=Putpoint(name,Pt,Pt); Putpoint(name,Ptinit,Pt):=( //help:Putpoint("A",[1,2],[1,A.y]); @@ -772,7 +900,9 @@ Putpoint(name,Ptinit,Pt):=( parse(ptstr); ); ); +////%Putpoint end//// +////%Bezierpt start//// Bezierpt(t,ptlist,ctrlist):=( regional(flg3,p0,p1,p2,p3,p4,p5,p6,p7,p8,p9); p0=ptlist_1; @@ -799,11 +929,15 @@ Bezierpt(t,ptlist,ctrlist):=( p9=(1-t)*p7+t*p8; if(flg3==0,p7,p9); ); +////%Bezierpt end//// +////%Bezier start//// Bezier(ptctrlist):=BezierCurve(ptctrlist_3,ptctrlist_1,ptctrlist_2,[]); Bezier(ptctrlist,options):=BezierCurve(ptctrlist_3,ptctrlist_1,ptctrlist_2,options); Bezier(nm,ptlist,ctrlist):=BezierCurve(nm,ptlist,ctrlist,[]); Bezier(nm,ptlist,ctrlist,options):=BezierCurve(nm,ptlist,ctrlist,options); +////%Bezier end//// +////%BezierCurve start//// BezierCurve(nm,ptlist,ctrlist):=BezierCurve(nm,ptlist,ctrlist,[]); BezierCurve(nm,ptlistorg,ctrlistorg,options):=( //help:Bezier("1",[A,D],[B,C]); @@ -867,17 +1001,24 @@ BezierCurve(nm,ptlistorg,ctrlistorg,options):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); ); + BezierCtrL=ctrlist; //181001 list; ); +////%BezierCurve end//// +////%Readcsvsla start//// Readcsvsla(fname):=Readplotdigdata(fname,[]); Readcsvsla(fname,options):=Readplotdigdata(fname,options); Readplotdigdata(fname):=Readplotdigdata(fname,[]); @@ -927,7 +1068,9 @@ Readplotdigdata(fname,options):=( ptdata=tmp1; ptdata; ); +////%Readcsvsla end//// +////%Putbezierdata start//// Putbezierdata(name,ptL):=Putbezierdata(name,ptL,[]); Putbezierdata(name,ptL,options):=( regional(psize,Deg,tmp,tmp1,tmp2,p1,p2,pts,ctrs); @@ -991,11 +1134,15 @@ Putbezierdata(name,ptL,options):=( ); [pts,ctrs,name]; ); +////%Putbezierdata end//// +////%Bezierstart start//// Bezierstart(n):=( // 2016.02.26 BezierNumber=n; ); +////%Bezierstart end//// +////%Mkbezierptcrv start//// Mkbezierptcrv(ptdata):=Mkbezierptcrv(ptdata,[]); Mkbezierptcrv(ptdata,options):=( //help:Mkbezierptcrv([A,B,C,D]); @@ -1023,7 +1170,9 @@ Mkbezierptcrv(ptdata,options):=( ); Out; ); +////%Mkbezierptcrv end//// +////%Mkbeziercrv start//// Mkbeziercrv(nm,ptctrL):=Mkbeziercrv(nm,ptctrL,[]); Mkbeziercrv(nm,ptctrL,options):=( //help:Mkbeziercrv("1",[[A,B,C,D],[[P,Q],[R,S],T]]); @@ -1036,7 +1185,9 @@ Mkbeziercrv(nm,ptctrL,options):=( Bezier(nm,ptlist,ctrlist,options); // 17.01.06 ); ); +////%Mkbeziercrv end//// +////%Writebezier start//// Writebezier():=Writebezier(Fhead,"all"); Writebezier(head):=Writebezier(head,"all"); Writebezier(head,seL):=( @@ -1080,7 +1231,9 @@ Writebezier(head,seL):=( WriteOutData(head+".txt",dt); dt; ); +////%Writebezier end//// +////%Readbezier start//// Readbezier(file):=Readbezier(file,[]); Readbezier(file,optionorg):=( //help:Readbezier("xsr"); @@ -1134,10 +1287,13 @@ Readbezier(file,optionorg):=( ); out; ); +////%Readbezier end//// +////%Ospline start//// Ospline(nm,ptlist):=Ospline(nm,ptlist,[]); Ospline(nm,ptlist,options):=( //help:Ospline("1",ptlist,[options]); +//help:Ospline(options=["Num=10"]); regional(tmp,tmp1,tmp2,list,ptL,ctrL,name,closed,flg, p0,p1,p2,p3,pQ,pR,cc,p01,p02,p11,p12,p21,p22,p31,p32); name="o"+nm; @@ -1192,66 +1348,61 @@ Ospline(nm,ptlist,options):=( pQ=p2+(p2-p1); ctrL_tmp=[pQ]; ); - Bezier("o"+nm,list,ctrL,options); + Bezier("o"+nm,list,ctrL,options); ); - +////%Ospline end//// + +////%CRspline start//// CRspline(nm,ptL):=CRspline(nm,ptL,[]); -CRspline(nm,ptL,options):=( +CRspline(nm,ptL,options):=( //180822 // Catmull-Rom spline //help:CRspline("1",[A,B,C,A]); - regional(name,ptlist,ctrpts,eqL,opcindy,c,v,tmp,tmp1,tmp2,ctrlist,cflg); - name="crsp"+nm; - if(MeasureDepth(ptL)==1,tmp=[ptL],tmp=ptL); - ptlist=tmp_1; - if(length(tmp)==1, +//help:CRspline(options=["Num=10"]); + regional(name,Eps,ptlist,cc,nv,pm,p0,p1,p2,p3, + ctrlist,cflg,qq,rr,tmp); + name="CR"+nm; + ptlist=apply(ptL,Lcrd(#)); + Eps=10^(-5); + cflg=0; + if(dist(ptlist_1,ptlist_(length(ptlist)))<Eps, cflg=1; - , - cflg=0; - ctrpts=tmp_2; - ); - c=1/6; - tmp=Divoptions(options); - eqL=tmp_5; - opcindy=tmp_(length(tmp)); // 15.03.05 - forall(eqL, - if(substring(#,0,1)=="R", - tmp2=indexof(#,"="); - c=parse(substring(#,tmp2,length(#))); - ); ); - ptlist=apply(ptlist,Lcrd(#)); // 16.08.16 + cc=1/6; ctrlist=[]; forall(1..(length(ptlist)-1), + p1=ptlist_#; + p2=ptlist_(#+1); + tmp=p2-p1; + nv=[-tmp_2,tmp_1]; + pm=(p1+p2)/2; if(#==1, - if(cflg==0, - tmp1=ctrpts_1; + p3=ptlist_(#+2); + if(cflg==0, + p0=Reflectpoint(p3,[pm,pm+nv]); , - v=ptlist_2-ptlist_(length(ptlist)-1); - tmp1=ptlist_#+c*v; + p0=ptlist_(length(ptlist)-1); ); , - v=ptlist_(#+1)-ptlist_(#-1); - tmp1=ptlist_#+c*v; - ); - if(#==length(ptlist)-1, - if(cflg==0, - tmp2=ctrpts_2; + p0=ptlist_(#-1); + if(#==length(ptlist)-1, + if(cflg==0, + p3=Reflectpoint(p0,[pm,pm+nv]); + , + p3=ptlist_2; + ); , - v=ptlist_2-ptlist_#; - tmp2=ptlist_(#+1)-c*v; + p3=ptlist_(#+2); ); - , - v=ptlist_(#+2)-ptlist_#; - tmp2=ptlist_(#+1)-c*v; ); - tmp=select(options,indexof(text(#),"->")>0); - tmp=append(tmp,"notex"); //15.03.05 - Pointdata(name+text(#),[tmp1,tmp2],tmp); - ctrlist=append(ctrlist,[tmp1,tmp2]); + qq=p1+cc*(p2-p0); + rr=p2+cc*(p1-p3); + ctrlist=append(ctrlist,[qq,rr]); ); - Bezier(nm,ptlist,ctrlist,options); + Bezier(name,ptlist,ctrlist,options); ); +////%CRspline end//// +////%Beziersmooth start//// Beziersmooth(nm,ptL):=Bzspline(nm,ptL,[]); //help:Beziersmooth("1",[A,B,C,A]); Beziersmooth(nm,ptL,options):=Bzspline(nm,ptL,options); @@ -1314,7 +1465,9 @@ Bzspline(nm,ptLorg,options):=( Bezier(nm,ptL,ctrlist,options); [ptL,ctrlist]; ); +////%Beziersmooth end//// +////%Beziersym start//// Beziersym(nm,ptL):=Bzsspline(nm,ptL,[]); Beziersym(nm,ptL,options):=Bzsspline(nm,ptL,options); Bzsspline(nm,ptL):=Bzsspline(nm,ptL,[]); @@ -1365,7 +1518,9 @@ Bzsspline(nm,ptLorg,options):=( Bezier(nm,ptL,ctrlist,options); [ptL,ctrlist]; ); +////%Beziersym end//// +////%Listbspline2bz start//// Listbspline2bz(listorg):=( regional(Eps,list,pcl,ptl,ctrl,k); Eps=10^(-3); @@ -1382,16 +1537,21 @@ Listbspline2bz(listorg):=( ptl=apply(1..(length(pcl)-1),(pcl_#+pcl_(#+1))/2); [ptl,ctrl]; ); +////%Listbspline2bz end//// +////%Bspline start//// Bspline(nm,ctrL):=Bspline(nm,ctrL,[]); Bspline(nm,ctrL,options):=( //help:Bspline("",[A,B,C]); +//help:Bspline(options=["Num=10"]); regional(list,tmp); list=Listbspline2bz(ctrL); tmp=BezierCurve("b"+nm,list_1,list_2,options); tmp; ); +////%Bspline end//// +////%MeetCurve start//// MeetCurve(Crv,Xorg,Yorg):=( regional(Cv,tmp,tmp1,tmp2,X0,Y0,x1,x2,y1,y2,Ylist,Ban,Tate); if(isstring(Crv),Cv=parse(Crv),Cv=Crv); @@ -1453,7 +1613,9 @@ MeetCurve(Crv,Xorg,Yorg):=( tmp=sort(Ylist,abs(#_1-Y0)); [X0,tmp_1]; ); +////%MeetCurve end//// +////%PutonLine start//// PutonLine(name,p1,p2):=PutonLine(name,p1,p2,[]); PutonLine(name,p1org,p2org,options):=( //help:PutonLine("C","sgAB"); @@ -1484,7 +1646,9 @@ PutonLine(name,p1org,p2org,options):=( ); ); ); +////%PutonLine end//// +////%PutonSeg start//// PutonSeg(name,sgstr):=( regional(seg,p1,p2); if(isstring(sgstr),seg=parse(sgstr),seg=sgstr); @@ -1522,10 +1686,13 @@ PutonSeg(name,p1org,p2org,options):=( ); ); ); +////%PutonSeg end//// +////%PutonCurve start//// PutonCurve(pn,crv):=PutonCurve(pn,crv,[]); PutonCurve(pn,crv,options):=( -//help:PutonCurve("A","gr1"); +//help:Putoncurve("A","gr1"); +//help:Putoncurve("A","gr1",[0,XMAX]); regional(Pmt,pstr,optionL,leftlim,rightlim,tmp,tmp1,Flg,Msg); if(!islist(options),optionL=[options],optionL=options); leftlim=XMIN; @@ -1565,7 +1732,9 @@ PutonCurve(pn,crv,options):=( println("Put "+pn+" on Curve "+text(crv)); ); ); +////%PutonCurve end//// +////%CrossPoint start//// CrossPoint(name,Crv1,Crv2,range):=( regional(Mx1,Mx2,Mx3,tmp,Crs1,Crs2,Crs3,Crs4,df1,df2); Mx1=range_1; Mx2=range_2; @@ -1585,32 +1754,36 @@ CrossPoint(name,Crv1,Crv2,range):=( ); Putpoint(name,Crs1); ); +////%CrossPoint end//// -Setscaling(sc):=( -//help:Setscaling(3); - SCALEX=1; - SCALEY=sc; - Com0th("Setscaling("+sc+")"); - Setwindow("Msg=no"); -); - +////%Periodfun start//// Periodfun(defL,rep):=Periodfun(defL,rep,[]); -Periodfun(defL,rep,optionorg):=( // 16.11.24 -//help:Periodfun(["0",[-1,0],"1",1,[0,1],1],2(num of repetition),options); -//help:Periodfun(options=["Con=y"]); +Periodfun(defL,reporg,optionorg):=( // 16.11.24 +//help:Periodfun(["0",[-1,0],1(Num=),"1",[0,1],1(Num)],2(repeat count),options); +//help:Periodfun(repeat count=n or [repeatL,repeatR]); +//help:Periodfun(options=["Con(nect)=da,Color=red"]);//180725 //help:Periodfun(defL=[function string, range, devision number,...]); - regional(nn,fun,range,num,options,nr,maxfun, + regional(nn,fun,range,num,options,nr,maxfun,rep,np, tmp,tmp1,tmp2,eqL,connect,minx,maxx,pdata,Eps,prept); + rep=reporg; + if(length(rep)==1,rep=[rep,rep]);//180724 options=optionorg; - tmp=Divoptions(options); - eqL=tmp_5; - connect="Y"; +// tmp=Divoptions(options); + eqL=options; + connect=["da"];//180725 forall(eqL, - tmp=indexof(#,"="); - tmp2=substring(#,tmp,tmp+1); - tmp=substring(#,0,3); - if(Toupper(tmp)=="CON", - connect=Toupper(tmp2); + tmp=indexof(#,"=");//180725from + tmp=[substring(#,0,tmp-1),substring(#,tmp,length(#))]; + if(Toupper(substring(tmp_1,0,3))=="CON", + println([1658,tmp_2]); + tmp1=Toupper(Op(1,tmp_2)); + if(tmp1=="N", + connect=[]; + , + if(tmp1!="Y", + connect=tokenize(tmp_2,","); + ); + );//180725to options=remove(options,[#]); ); ); @@ -1638,16 +1811,24 @@ Periodfun(defL,rep,optionorg):=( // 16.11.24 "<=x and x<"+tmp2+") then "+fun+" "; ); per=maxx-minx; - forall(1..rep,nr, - tmp1=[]; - forall(pdata, - Translatedata("p"+#+text(nr),#,[per*nr,0],options); - Translatedata("m"+#+text(nr),#,[-per*nr,0],options); - tmp1=concat(tmp1,["trp"+#+text(nr),"trm"+#+text(nr)]); - ); - ); - pdata=concat(pdata,tmp1); - if(connect=="Y", + tmp1=[]; + forall(1..(rep_1),nr, //180724from + forall(reverse(1..(length(pdata))),np, + Translatedata("m"+np+text(nr),pdata_np,[-per*nr,0],options); + tmp1=concat(["trm"+np+text(nr)],tmp1); + ); + ); + tmp2=[]; + forall(1..(rep_2),nr, + forall(1..(length(pdata)),np, + Translatedata("p"+np+text(nr),pdata_np,[per*nr,0],options); + tmp2=concat(tmp2,["trp"+np+text(nr)]); + ); + );//180724to + pdata=concat(tmp1,pdata); + pdata=concat(pdata,tmp2); + if(length(connect)>0, //180725 + connect=append(connect,"Msg=n"); //180725 Eps=10^(-5); pdata=sort(pdata,[parse(#)_1_1]); prept=parse(pdata_1)_1; @@ -1656,7 +1837,7 @@ Periodfun(defL,rep,optionorg):=( // 16.11.24 tmp1=tmp_1; tmp2=tmp_(length(tmp)); if(|prept-tmp1|>Eps, - Listplot("con"+text(#),[prept,tmp1],append(options,"da")); + Listplot("con"+text(#),[prept,tmp1],concat([],connect));//180725 ); prept=tmp_(length(tmp)); ); @@ -1664,7 +1845,9 @@ Periodfun(defL,rep,optionorg):=( // 16.11.24 mxfun=substring(mxfun,4,length(mxfun)-1); [mxfun,per]; ); +////%Periodfun end//// +////%Fourierseries start//// Fourierseries(nm,coeff,per,nterm):= Fourierseries(nm,coeff,per,nterm,[]); // 16.11.24 Fourierseries(nm,coeff,per,nterm,options):=( @@ -1691,7 +1874,9 @@ Fourierseries(nm,coeff,per,nterm,options):=( ); Plotdata("four"+nm,fs,"x",options); ); +////%Fourierseries end//// +////%Tabledatalight start//// Tabledatalight(nm,xLst,yLst,rmvL):=Tabledatalight(nm,xLst,yLst,rmvL,[]); Tabledatalight(nm,xLst,yLst,rmvL,optionorg):=( //help:Tabledatalight("",xLst,yLst,rmvL,[2,"Rng=y"]); @@ -1774,7 +1959,9 @@ Tabledatalight(nm,xLst,yLst,rmvL,optionorg):=( ); Tb; ); +////%Tabledatalight end//// +////%Tabledata start//// Tabledata(nm,n,m,xsize,ysize,rmvL):= Tabledata(nm,n,m,xsize,ysize,rmvL,[]); Tabledata(nm,n,m,xsize,ysize,rmvL,options):=( @@ -1906,7 +2093,9 @@ Tabledata(nm,xLst,yLst,rmvL,optionorg):=( ); Tb; ); +////%Tabledata end//// +////%Tseginfo start//// Tseginfo(seg):=( regional(cr,tp,tpc,n1,n2,n3,tmp,tmp1,tmp2); if(substring(seg,0,2)=="sg", @@ -1928,7 +2117,9 @@ Tseginfo(seg):=( n3=substring(cr,tmp2,length(cr)); [tp+n1,tpc,parse(n2),parse(n3)]; ); +////%Tseginfo end//// +////%Tsegrmv start//// Tsegrmv(rmvL):=Tsegrmv(rmvL,[]); Tsegrmv(rmvL,options):=( regional(cr,gcL,flg,gc,hd,tail,tpc,m1,m2,n1,n2,tmp,tmp1,tmp2); @@ -1972,7 +2163,9 @@ Tsegrmv(rmvL,options):=( ); ); ); +////%Tsegrmv end//// +////%Tgrid start//// Tgrid(ptstr):=( //help:Tgrid("c2r5"); regional(tmp,tmp1,tmp2); @@ -1988,7 +2181,9 @@ Tgrid(ptstr):=( [tb_1_(tmp1+1)_1,tb_2_(tmp2+1)_2]; ); ); +////%Tgrid end//// +////%Tlistplot start//// Tlistplot(ptL):=Tlistplot(ptL,[]); Tlistplot(Ag1,Ag2):=( regional(nm,ptL,options); @@ -2019,7 +2214,9 @@ Tlistplot(nm,ptL,options):=( tmp=apply(ptL,Tgrid(#)); // 15.06.03 Listplot(nm,tmp,tmp1); ); +////%Tlistplot end//// +////%ChangeTablestyle start//// ChangeTablestyle(nameL,style):=( ////help:ChangeTablestyle(["r0c0c3"],["da"]); regional(nmL,grid,head,sb,tmp,tmp1,tmp2, @@ -2074,7 +2271,9 @@ ChangeTablestyle(nameL,style):=( ); ); ); +////%ChangeTablestyle end//// +////%Findcell start//// Findcell(pos1,pos2):=Findcell("",pos1,pos2); Findcell(Tbdata,pos1,pos2):=( //help:Findcell("c0r0","c2r1"); @@ -2102,7 +2301,9 @@ Findcell(Tbdata,pos1,pos2):=( dy=abs(posnw_2-ctr_2); [ctr,dx,dy]; ); +////%Findcell end//// +////%Putcell start//// Putcell(pos1,pos2,dir,lttr):=Putcell("",pos1,pos2,dir,lttr); Putcell(Tbdata,pos1,pos2,dir,lttr):=( //help:Putcell("c0r0","c2r1","lt","abc"); @@ -2138,7 +2339,9 @@ Putcellexpr(Tbdata,pos1,pos2,dir,ex):=( //help:Putcellexpr(2,3,"c","\sin x"); Putcell(Tbdata,pos1,pos2,dir,"$"+text(ex)+"$"); ); +////%Putcell end//// +////%Putrow start//// Putrow(nrow,dir,lttrL):=Putrow("",nrow,dir,lttrL); Putrow(Tbdata,nrow,dir,lttrL):=( //help:Putrow(1,"c",["x","y","z"]); @@ -2148,7 +2351,9 @@ Putrow(Tbdata,nrow,dir,lttrL):=( Putcell(Tbdata,#,nrow,dir,lttrL_#); ); ); +////%Putrow end//// +////%Putrowexpr start//// Putrowexpr(nrow,dir,exL):=Putrowexpr("",nrow,dir,exL); Putrowexpr(Tbdata,nrow,dir,exL):=( //help:Putrowexpr(2,"r",["x","y","z"]); @@ -2156,7 +2361,9 @@ Putrowexpr(Tbdata,nrow,dir,exL):=( lttrL=apply(exL,"$"+#+"$"); Putrow(Tbdata,nrow,dir,lttrL); ); +////%Putrowexpr end//// +////%PutcoL start//// PutcoL(mcol,dir,lttrL):=PutcoL("",mcol,dir,lttrL); PutcoL(Tbdata,mcol,dir,lttrL):=( //help:PutcoL(1,"c",["x","y","z"]); @@ -2166,6 +2373,9 @@ PutcoL(Tbdata,mcol,dir,lttrL):=( Putcell(Tbdata,mcol,#,dir,lttrL_#); ); ); +////%PutcoL end//// + +////%PutcoLexpr start//// PutcoLexpr(mcol,dir,exL):=PutcoLexpr("",mcol,dir,exL); PutcoLexpr(Tbdata,mcol,dir,exL):=( //help:PutcoLexpr(2,"r",["x","y","z"]); @@ -2173,7 +2383,9 @@ PutcoLexpr(Tbdata,mcol,dir,exL):=( lttrL=apply(exL,"$"+#+"$"); PutcoL(Tbdata,mcol,dir,lttrL); ); +////%PutcoLexpr end//// +////%Setrange start//// Setrange():=( //help:Setrange(); SW.xy=Pcrd([XMIN,YMIN]); @@ -2181,146 +2393,9 @@ Setrange():=( drawpoly([Pcrd([XMIN,YMIN]), Pcrd([XMAX,YMIN]), Pcrd([XMAX,YMAX]),Pcrd([XMIN,YMAX])],color->[1,1,1]); ); +////%Setrange end//// -Sciform(list):=( - regional(plotlist,comp,pos,out,out2,nn,strL,flg, - tmp,tmp1,tmp2,tmp3,Nj); - plotlist=Flatten([list]); - out=replace(plotlist_1,".xy",""); - out=replace(out,".x","(1)"); - out=replace(out,".y","(2)"); - if(length(plotlist)==1, - comp=[]; - forall(1..length(out), - comp=append(comp,substring(out,#-1,#)); - ); - out=""; - pos=0; - forall(comp, - if(#!="'", - out=out+#; - , - if(pos==0, - tmp=indexof(out,"Assign("); - if(substring(out,length(out)-7,length(out))=="Assign(", - out=out+"'"; - pos=1; - , - out=out+"Assign('"; - pos=2; - ); - , - if(pos==2, - out=out+"')"; - , - out=out+"'"; - ); - pos=0; - ); - ); - ); - , - forall(2..length(plotlist), - comp=plotlist_#; - if(isstring(comp), - pos=indexof(comp,"Assign("); - if(pos>0, - comp=substring(comp,6,length(comp)); - ); - out=out+"Assign("; - comp=replace(comp,".xy",""); - comp=replace(comp,".x","(1)"); - comp=replace(comp,".y","(2)"); - out=out+"'"+comp+"'"; - out=out+"),"; - ); - if(islist(comp), - forall(comp, - out=out+"'"+#+"',"; - ); - ); - ); - if(length(plotlist)>1, - out=substring(out,0,length(out)-1); - out=out+");"; - ); - ); - pos=[]; - forall(1..length(out), - tmp=indexof(substring(out,#-1,length(out)),"Assign"); - if(tmp>0, - tmp1=#-1+tmp; - if(length(pos)==0, - pos=[tmp1]; - , - if(pos_(length(pos))<tmp1, - pos=append(pos,tmp1); - ); - ); - ); - ); - if(length(pos)>0, - strL=[]; - Nj=0; - forall(pos, - tmp=substring(out,Nj,#-1); - strL=append(strL,tmp); - Nj=#-1; - ); - strL=append(strL,substring(out,Nj,length(out))); - out=""; - forall(strL, - if(indexof(#,"Assign")==0, - out=out+#; - , - tmp=indexof(#,"('"); - tmp1=indexof(#,"')"); - tmp2=substring(#,tmp+1,tmp1-2); - tmp3=substring(#,tmp1-2,length(#)); - if(indexof(tmp2,"=")==0, - out=out+#; - , - tmp=substring(tmp2,0,indexof(tmp2,"=")); - out=out+"'"+tmp+"'+"+"Assign('"; - tmp=substring(tmp2,indexof(tmp2,"="),length(tmp2)); - out=out+tmp+tmp3; - ); - ); - ); - ); - out2=""; // patched 16.01.21 from - nn=length(out); - flg=0; - forall(1..nn, - if(flg==0, - tmp=indexof(out,"='+Assign('"); - if(tmp==0, - out2=out2+out; - flg=1; - , - out2=out2+substring(out,0,tmp); - out=substring(out,tmp+10,length(out)); - tmp=indexof(out,"'"); // 16.04.19 from - tmp1=substring(out,0,tmp-1); - tmp2="1234567890"; - tmp=apply(1..length(tmp1), - indexof(tmp2,substring(tmp1,#-1,#))); - tmp=min(tmp); - if(tmp==0, // 16.04.19 until - out2=out2+"'+Assign('"; - , - tmp=indexof(out,"'"); - out=substring(out,0,tmp)+substring(out,tmp+1,length(out)); - // 16.04.18 until - ); - ); - ); - ); - out2=replace(out2,"Dist=","D="); - out2=replace(out2,"Dis=","D="); - out2; -); - +////%RSform start//// RSform(str):=RSform(str,3); RSform(str,listfrom):=( //help:RSform(string,listfrom); @@ -2356,14 +2431,18 @@ RSform(str,listfrom):=( out=replace(out,"c(2)","[2]"); out; ); +////%RSform end//// +////%RSslash start//// RSslash(str):=( //17.09.24 regional(tmp); tmp=replace(str,"\","\\"); // tmp=replace(tmp,"\\\\","\\"); tmp; ); +////%RSslash end//// +////%Rform start//// Rform(list):=( regional(plotlist,comp,pos,out,strL,tmp,tmp1,tmp2,tmp3,Nj); out=list; @@ -2375,7 +2454,9 @@ Rform(list):=( out=replace(out,".y","[2]"); out; ); +////%Rform end//// +////%Defvar start//// Defvar(varstr):=( regional(name,value,tmp,tmp1); if(isstring(varstr), @@ -2399,7 +2480,6 @@ Defvar(varstr):=( ); // 16.11.16until ); ); - Defvar(name,value):=( //help:Defvar("a",0.3); //help:Defvar(["a",0.3,"b",2]); @@ -2422,32 +2502,52 @@ Defvar(name,value):=( VLIST=select(VLIST,#_1!=name); // 15.02.08 VLIST=prepend([name,value],VLIST); ); +////%Defvar end//// -IftoR(strorg):=( - regional(str,pre,post,sub,ppL,ifstr,out,tmp,tmp1,tmp2); - str=strorg; - ifstr=indexof(str,"if("); - if(ifstr==0, - out=replace(str,",","}else{"); - , - pre=substring(str,0,ifstr-1)+"if("; - ppL=Bracket(str,"()"); - tmp1=ifstr+2; - tmp=select(ppL,#_1==tmp1); - tmp=select(ppL,#_2==-tmp_1_2); - tmp2=tmp_1_1; - sub=substring(str,tmp1,tmp2-1); - post="}"+substring(str,tmp2,length(str)); - tmp=indexof(sub,","); - tmp1=substring(sub,0,tmp-1); - tmp2=substring(sub,tmp,length(sub)); - sub=tmp1+"){"+tmp2; - tmp=IftoR(sub); - out=pre+tmp+"}"; - ); +////%IftoR start//// +IftoR(strorg):=( //180802 + regional(str,ifL,ppL,cpL,kk,sL,out, + tmp,tmp1,tmp2,tmp3,tmp4); + str=replace(strorg,LFmark,""); + ifL=Indexall(str,"if("); + ppL=Bracket(str,"()"); + cpL=Indexall(str,","); + tmp1=Bracket(str,"[]"); + forall(1..(length(tmp1)/2),kk, + cpL=select(cpL,#<tmp1_(2*kk-1)_1%#_1>tmp1_(2*kk)_1); + ); + forall(1..length(ifL),kk, + tmp=select(ppL,#_1>ifL_kk); + tmp1=tmp_1; + tmp2=select(tmp,#_2==-tmp1_2); + tmp2=tmp2_1; + tmp3=select(cpL,#>tmp1_1 & #<tmp2_1); + ifL_kk=[tmp1_1,tmp2_1,tmp1_2,tmp3]; + ); + forall(1..length(cpL),kk, + tmp=select(1..length(ifL),contains(ifL_#_4,cpL_kk)); + tmp1=tmp_(length(tmp)); + cpL_kk=[cpL_kk,tmp1]; + ); + sL=apply(1..length(str),substring(str,#-1,#)); + forall(1..length(ifL),kk, + tmp1=ifL_kk_1; + tmp2=ifL_kk_2; + tmp=select(cpL,#_2==kk); + tmp3=apply(tmp,#_1); + sL_tmp1="("; + sL_tmp2="}"; + sL_(tmp3_1)="){"; + if(length(tmp3)>1, + sL_(tmp3_2)="}else{"; + ); + ); + out=sum(sL); out; ); +////%IftoR end//// +////%FortoR start//// FortoR(strorg):=( regional(str,pre,post,sub,ppL,forstr,out,tmp,tmp1,tmp2); str=strorg; @@ -2478,7 +2578,9 @@ FortoR(strorg):=( out=replace(out,"..",":"); out; ); +////%FortoR end//// +////%Deffun start//// Deffun(name,bodylist):=( //help:Deffun("f(x)",["regional(y)","y=x^2*(x-3)","y"]); regional(funstr,str,Pos,nbody,bdy,ppL,bpL,excma,tmp,tmp1,tmp2); @@ -2527,7 +2629,25 @@ Deffun(name,bodylist):=( str=str+"return("+bodylist_(length(bodylist))+")}"; FUNLIST=append(FUNLIST,str); ); +////%Deffun end//// +////%Inwindow start//// +Inwindow(point):=Inwindow(point,[XMIN,XMAX],[YMIN,YMAX]); +Inwindow(point,xrng,yrng):=( +//help:Inwindow(point); +//help:Inwindow(point,xrange,yrange); + regional(Eps,pt,x,y,xmin,xmax,ymin,ymax,tmp); + Eps=10.0^(-6); + if(ispoint(point),pt=point.xy,pt=point); + x=pt_1; y=pt_2; + xmin=xrng_1; xmax=xrng_2; + ymin=yrng_1; ymax=yrng_2; + tmp=(x>xmin-Eps)&(x<xmax+Eps)&(y>ymin-Eps)&(y<ymax+Eps); + if(tmp,true,false); +); +////%Inwindow end//// + +////%Windispg start//// Windispg():=( regional(Nj,Nk,Dt,Vj,tmp,tmp1,tmp2,opcindy); gsave(); @@ -2541,8 +2661,6 @@ Windispg():=( if(Nj_2<0,tmp1=0,tmp1=Nj_2); if(tmp1<10, forall(Dt,Nk, -// tmp2=apply(Nk,if(ispoint(#),Lcrd(#),#)); -// tmp2=apply(tmp2,Pcrd(#)); tmp2=Nk; // 14.12.04 if(length(Nk)>1, tmp="connect("+textformat(tmp2,5)+ @@ -2558,16 +2676,9 @@ Windispg():=( ); ); ); -// if(ADDAXES=="1", // 16.10.08from -// draw([XMIN,0],[XMAX,0],color->[0,0.2,0]); -// draw([0,YMIIN],[0,YMAX],color->[0,0.2,0]); -// Letter([[XMAX,0],"e","x",[0,YMAX],"n","y"]); -// Letter([[0,0],"sw","O"]); -// ); // 16.10.08until grestore(); layer(0); ); - Windispg(pltdata):=( regional(pdata,Nj,Nk,Dt,tmp,tmp1,tmp2,opcindy); gsave(); @@ -2602,8 +2713,11 @@ Windispg(pltdata):=( grestore(); layer(0); ); +////%Windispg end//// +////%WritetoRS start//// WritetoSci():=WritetoRS(); //17.12.19 +WritetoSci(Arg):=WritetoRS(Arg);//180619 WritetoRS():=WritetoRS(FnameR);// 17.09.17from WritetoRS(Arg):=( regional(string,filename,shch,tmp1,tmp2); @@ -2623,7 +2737,7 @@ WritetoRS(Arg):=( ); ); WritetoRS(filename,shchoice):=( - regional(Plist,Pos,GrL,str,tmp,tmp1,tmp2,cmd); + regional(Plist,Pos,GrL,str,tmp,tmp1,tmp2,cmd,ns,spos,epos); //help:WritetoRS(2); println("Write to R "+filename); Plist=[]; @@ -2670,8 +2784,8 @@ WritetoRS(filename,shchoice):=( );//180409to tmp=replace(Libname,"\","/"); //17.09.24from println(SCEOUTPUT,"source('"+tmp+".r')");//temporary - if((indexof(PathT,"pdflatex")>0)%(indexof(PathT,"lualatex")>0), - // 17.10.07added + if((indexof(PathT,"pdflatex")>0)%(indexof(PathT,"lualatex")>0) + %(GPACK=="pict2e"), // 180817 tmp=replace(tmp+"_rep2e","\","/"); println(SCEOUTPUT,"source('"+tmp+".r')"); ); @@ -2763,12 +2877,27 @@ WritetoRS(filename,shchoice):=( println(SCEOUTPUT,#); ); );//180613to - forall(COM2ndlist, - if(indexof(#,"Texcom")==0, //17.09.22 - println(SCEOUTPUT,RSform(#)); + forall(COM2ndlist,cmd, + tmp=substring(cmd,0,4); + if(contains(["Lett","Expr"],tmp), //180721from + tmp1=Indexall(cmd,Dq); + tmp2=length(tmp1)/4; + str=""; ns=0; + forall(tmp2, + spos=tmp1_(4*#-1); epos=tmp1_(4*#); + str=str+RSform(substring(cmd,ns,spos-1)); + str=str+substring(cmd,spos-1,epos); + ns=epos; + ); + str=str+substring(cmd,ns,length(cmd)); + println(SCEOUTPUT,str); , - println(SCEOUTPUT,#); - ); + if(indexof(cmd,"Texcom")==0, + println(SCEOUTPUT,RSform(cmd)); + , + println(SCEOUTPUT,cmd); + ); + ); //180721to ); if(length(GrL)>0, println(SCEOUTPUT," Drwline(GrL)"); @@ -2803,7 +2932,9 @@ WritetoRS(filename,shchoice):=( closefile(SCEOUTPUT); ); //180513to ); +////%WritetoRS end//// +////%Extractdata start//// Extractdata(name):=Extractdata(1,name,[]); Extractdata(Arg1,Arg2):=( if(isstring(Arg1), @@ -2814,7 +2945,7 @@ Extractdata(Arg1,Arg2):=( ); Extractdata(number,name,options):=( //help:ExtractData("ha1"); -//help:ExtractData(1,"ha1"); +// help:ExtractData(1,"ha1"); regional(dlist,tmp,tmp1,tmp2,tmp3,File,Ltype,Noflg,opstr,opcindy,color); tmp=Divoptions(options); Ltype=tmp_1; @@ -2847,17 +2978,23 @@ Extractdata(number,name,options):=( ); if(Noflg<2, if(isstring(Ltype), - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+color+")")); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if(!contains([[0,0,0],[0,0,0,1]],color),Com2nd("Setcolor("+text(KCOLOR)+")")); - , + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("{");Com2nd("Setcolor("+color+")");//180722 + ); + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 + Texcom("}");//180722 + ); + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); ); tmp2; ); +////%Extractdata end//// +////%RemoveOut start//// RemoveOut(pltlist):=( regional(name,tmp,tmp1,tmp2); forall(pltlist,name, @@ -2869,18 +3006,30 @@ RemoveOut(pltlist):=( GOUTLIST=tmp1; ); ); +////%RemoveOut end//// +////%ReadOutData start//// ReadOutData():=ReadOutData(Fnameout); ReadOutData(filename):=ReadOutData("",filename); //16.03.07 -ReadOutData(pathorg,filenameorg):=( +ReadOutData(path,filename):=ReadOutData(path,filename,[]);//181024(2lines) +ReadOutData(pathorg,filenameorg,options):=( //help:ReadOutData(); -//help:Readoutdata(); //help:ReadOutData("file.txt"); -//help:Readoutdata("file.txt"); //help:ReadOutData("/datafolder","file.txt"); -//help:Readoutdata("/datafolder","file.txt"); +//help:ReadOutdata(options=["Disp=n(/y)]"); regional(path,filename,varname,varL,ptL,pts,tmp,tmp1,tmp2,tmp3,tmp4, - nmbr,cmdall,cmd,cmdorg,outdt,goutdt); + nmbr,cmdall,cmd,cmdorg,outdt,goutdt,eqL,dispflg); + dispflg=1; + tmp=Divoptions(options); //181024from + eqL=tmp_5; + forall(eqL, + tmp=Strsplit(#,"="); + tmp1=substring(tmp_1,0,1); tmp1=Toupper(tmp1); + tmp2=substring(tmp_2,0,1); tmp2=Toupper(tmp2); + if(tmp1=="D", + if(tmp2=="N",dispflg=0); + ); + ); //181024to path=pathorg; //16.03.07 from if(length(path)>0, setdirectory(path); @@ -2959,10 +3108,14 @@ ReadOutData(pathorg,filenameorg):=( setdirectory(Dirwork); // 16.03.07 ); print("readoutdata from "+tmp+" : "); - println(varL); + if(dispflg==1, //181024from + println(varL); + ); //181024to varL; ); +////%ReadOutData end//// +////%WriteOutData start//// WriteOutData(filename,ptlist):=( //help:WriteOutData("file.txt",["g1",gr1,"sg",sgAB]); //help:Writeoutdata("file.txt",["g1",gr1,"sg",sgAB]); @@ -3026,7 +3179,9 @@ WriteOutData(filename,ptlist):=( Gstr=substring(Gstr,0,length(Gstr)-1)+"]"; println("writeoutdata "+filename+":"+Gstr); ); +////%WriteOutData end//// +////%Makeshell start//// Makeshell():=( if(length(Texmain)>0, Texparent=Texmain; @@ -3131,7 +3286,9 @@ Makeshell(texmainfile,flow):=( closefile(SCEOUTPUT); setdirectory(Dirwork); ); +////%Makeshell end//// +////%Convsjiswin start//// Convsjiswin(dir,fname,ext):=( //180401 regional(ctr,flg,mx,tmp); mx=200; @@ -3157,7 +3314,9 @@ Convsjiswin(dir,fname,ext):=( //180401 println(tmp+" not converted "+text(flg)); ); ); +////%Convsjiswin end//// +////%Makebat start//// Makebat():=( if(length(Texmain)>0, Texparent=Texmain; @@ -3247,8 +3406,11 @@ Makebat(texmainfile,flow):=( path=""; ); if(indexof(flow,"r")>0, - tmp=Dq+PathR+"\R"+Dq+" --vanilla --slave < execsrc.r";//180514 - // 17.09.14 + if(indexof(Dirwork,"Users")>0, //180917from + tmp=Dq+PathR+"\R"+Dq+" --vanilla --slave < execsrc.r";//180514 + , + tmp=Dq+PathR+"\R"+Dq+" --vanilla --slave < "+Fhead+".r"; + ); //180917to println(SCEOUTPUT,tmp); ); if(tex=="latex" % tex=="platex" % tex=="uplatex", //17.08.13 @@ -3296,7 +3458,9 @@ Makebat(texmainfile,flow):=( ); setdirectory(drive+Dirwork); ); +////%Makebat end//// +////%Addpackage start//// Addpackage(packorg):=( //help:Addpackage("bm"); //help:Addpackage(["bm","enumerate"]); @@ -3316,7 +3480,19 @@ Addpackage(packorg):=( ); ADDPACK=concat(ADDPACK,packL); //17.06.25to ); +////%Addpackage end//// + +////%Usegraphics start//// +Usegraphics(gpack):=( //180817 +//help:Usegrapchics("pict2e"); + if(!contains(ADDPACK,gpack), + Addpackage([gpack]); + ); + GPACK=gpack; +); +////%Usegraphics end//// +////%Viewtex start//// Viewtex():=( regional(texfile,tmp,tmp1,sep); texfile=Fhead+"main"; @@ -3331,13 +3507,15 @@ Viewtex():=( );//17.08.13until ); // 16.06.09until println(SCEOUTPUT,tmp); - if((indexof(PathT,"pdflatex")>0)%(indexof(PathT,"lualatex")>0) , - //16.11.23,12.16 + if((indexof(PathT,"pdflatex")>0)%(indexof(PathT,"lualatex")>0) + %(GPACK=="pict2e"), //16.11.23,12.16,180817 if(indexof(PathT,"pdflatex")>0, println(SCEOUTPUT,"\usepackage[pdftex]{pict2e}");//16.11.24 , println(SCEOUTPUT,"\usepackage{pict2e}");//16.12.16 - println(SCEOUTPUT,"\usepackage{luatexja}");//16.12.18 + if(indexof(PathT,"lualatex")>0, //180817 + println(SCEOUTPUT,"\usepackage{luatexja}"); + ); ); tmp=replace(Dirhead,"\","/"); //17.10.30from tmp=replace(tmp,"scripts","tex/latex"); @@ -3394,7 +3572,9 @@ Viewtex():=( ); WritetoRS(2); //17.09.19 ); +////%Viewtex end//// +////%Viewparent start//// Viewparent():=( //17.04.13 if(!isexists(Dirwork,Texparent+".tex"), if(isstring(Texparent), @@ -3414,7 +3594,9 @@ Viewparent():=( //17.04.13 kc(); ); ); +////%Viewparent end//// +////%Makecmdlist start//// Makecmdlist(libname):=( //help:Makecmdlist("ketcindylib"); regional(cmdall,cmd,flg,tmp,tmp1,tmp2,out); @@ -3446,7 +3628,9 @@ Makecmdlist(libname):=( out=out_(2..tmp); out=sort(out); ); +////%Makecmdlist end//// +////%Savecmdlist start//// Savecmdlist(cmdlist,cmdfile):=( SCEOUTPUT=openfile(cmdfile+".cs"); forall(cmdlist, @@ -3454,7 +3638,9 @@ Savecmdlist(cmdlist,cmdfile):=( ); closefile(SCEOUTPUT); ); +////%Savecmdlist end//// +////%Quicksort start//// Quicksort(seq):=( regional(pivot,left,right,out); if(length(seq)<2, @@ -3476,7 +3662,9 @@ Quicksort(seq):=( ); out; ); +////%Quicksort end//// +////%Lessstr start//// Lessstr(st1,st2):=( regional(tmp,tmp1,tmp2,out); tmp=min(length(st1),length(st2)); @@ -3505,7 +3693,9 @@ Lessstr(st1,st2):=( ); out; ); +////%Lessstr end//// +////%Figpdf start//// Figpdf():=Figpdf(Texparent,[]); Figpdf(Arg1):=( if(isstring(Arg1), @@ -3624,7 +3814,9 @@ Figpdf(fnameorg,optionorg):=( ); FigPdfList; ); +////%Figpdf end//// +////%Makehelplist start//// Makehelplist(libname):=( regional(cmdall,cmd,flg,lev,tmp,tmp1,out); tmp=load(libname); @@ -3670,7 +3862,9 @@ Makehelplist(libname):=( ); sort(out); ); +////%Makehelplist end//// +////%Helplist start//// Helplist():=Helplist(Dirlib,["+","+3d"],"helpJ"); // 15.05.22 Helplist(Arg):=( @@ -3726,8 +3920,9 @@ Helplist(dir,files,help):=( ); // 16.12.31until setdirectory(Dirwork); ); +////%Helplist end//// - +////%Help start//// Help():=( forall(HLIST, println(#); @@ -3780,7 +3975,9 @@ Help(strorg):=( if(flg==-1,println(" Help not read in")); if(flg==0,println(" no example")); ); +////%Help end//// +////%Helpkey start//// Helpkey(str):=( regional(tmp,tmp1,tmp2); tmp1=select(HLIST,indexof(#,str)>0); @@ -3800,7 +3997,9 @@ Helpkey(str1,str2):=( Help(tmp); ); ); +////%Helpkey end//// +////%Slidework start//// Slidework():=Slidework(Dirwork); // 16.06.10 Slidework(dirorg):=( //help:Slidework(directory); @@ -3821,7 +4020,16 @@ Slidework(dirorg):=( println(dir+ " not exists"); ); ); +////%Slidework end//// +////%Setslidemargin start//// +Setslidemargin(marginlist):=( // 180908 +//help:Setslidemargin([+5,-10]); + SlideMargin=marginlist; +); +////%Setslidemargin end//// + +////%Setslidepage start//// Setslidepage():=( // 17.03.05 regional(tmp1,tmp2,tmp3); tmp1=["letterc","boxc","framec","shadowc","xpos","size"]; @@ -3848,7 +4056,9 @@ Setslidepage(list):=( // 16.12.22 SlideColorList_3=SlideColorList_2; SlideColorList_6=SlideColorList_5; ); +////%Setslidepage end//// +////%Setslidemain start//// Setslidemain():=( // 17.03.05 regional(tmp1,tmp2,tmp3); tmp1=["letterc","boxc","framec","xpos","size"]; @@ -3874,7 +4084,9 @@ Setslidemain(list):=( // 16.12.22 ); SlideColorList_11=SlideColorList_10; ); +////%Setslidemain end//// +////%Setslidebody start//// Setslidebody():=( // 17.03.05 regional(tmp1,tmp2,tmp3); tmp1=["letterc","style","thindense"]; @@ -3913,7 +4125,9 @@ Setslidebody(str,style,density):=( // 16.12.22,17.01.06,01.08 if(length(style)>0,BodyStyle=style); ThinDense=density;//17.01.08 ); +////%Setslidebody end//// +////%Setslidehyper start//// Setslidehyper():=( 17.12.16from Setslidehyper(["cl=true,lc=blue,fc=blue",125,70,1]); ); @@ -3938,6 +4152,9 @@ Setslidehyper(driverorg,options):=( eqL=tmp_5; reL=tmp_6; stL=tmp_7; + tmp1=select(eqL,length(Indexall(#,"="))>1); //180813from + eqL=remove(eqL,tmp1); + stL=concat(stL,tmp1); //180813to if(length(stL)>0, str=stL_1; , @@ -3957,6 +4174,15 @@ Setslidehyper(driverorg,options):=( tmp1=replace(tmp1,"uc=","urlcolor="); ADDPACK=select(ADDPACK,indexof(#,"hyperref")==0); Addpackage(tmp1+"{hyperref}"); + tmp=indexof(tmp1,"linkcolor=");//180813from + tmp1=substring(tmp1,tmp-1,length(tmp1)); + tmp=indexof(tmp1,"="); + tmp1=substring(tmp1,tmp,length(tmp1)); + tmp=indexof(tmp1,","); + if(length(tmp)>0, + tmp1=substring(tmp1,0,tmp-1); + );//180813to + LinkColor=tmp1; LinkPosH=125; LinkPosV=73;//180524 LinkSize=1; @@ -3981,7 +4207,9 @@ Setslidehyper(driverorg,options):=( );//180524to ); ); //17.12.16to +////%Setslidehyper end//// +////%Settitle start//// Settitle(cmdL):=Settitle("",cmdL,[]); // 180608from Settitle(Arg1,Arg2):=( if(isstring(Arg1), @@ -4054,7 +4282,9 @@ Settitle(titleold,cmdL,options):=( ); TitleCmdL=concat(TitleCmdL,["\end{layer}","","}"]); ); +////%Settitle end//// +////%Maketitle start//// Maketitle():=( if(!isstring(TitleName), //17.04.13from drawtext(mouse().xy,"Settitle not defined", @@ -4065,7 +4295,7 @@ Maketitle():=( ); Maketitle(name):=( //help:Maketitle(); - regional(texfile,texmain,tmp,tmp1,sep); + regional(texfile,texmain,tmp,tmp1,sep,txtfile); texfile=name; texmain=name+"main"; SCEOUTPUT=openfile(texfile+".tex"); @@ -4125,8 +4355,35 @@ Maketitle(name):=( Makeshell(texmain,"tv"); ); kc(); + txtfile=Cindyname()+".txt"; //180815from + if(!isexists(Dircdy,txtfile), + setdirectory(Dircdy); + SCEOUTPUT=openfile(txtfile); + println(SCEOUTPUT,"title::"+name+"//"); + println(SCEOUTPUT,""); + println(SCEOUTPUT,"%%%%%%%%%%%%%%%%//"); + println(SCEOUTPUT,"main::(title)//"); + println(SCEOUTPUT,"\slidepage[m]//"); + println(SCEOUTPUT,""); + println(SCEOUTPUT,"%%%%%%%%%%%%%%%%//"); + println(SCEOUTPUT,"new::(title)//"); + println(SCEOUTPUT,"%repeat=1,para//"); + println(SCEOUTPUT,"\slidepage//"); + println(SCEOUTPUT,""); + println(SCEOUTPUT,"layer::{120}{0}//"); + println(SCEOUTPUT,"%%putnote::s{65}{5}:://"); + println(SCEOUTPUT,"end//"); + println(SCEOUTPUT,""); + println(SCEOUTPUT,"itemize//"); + println(SCEOUTPUT,"item//"); + println(SCEOUTPUT,"end//"); + closefile(SCEOUTPUT); + setdirectory(Dirwork); //180815to + ); ); +////%Maketitle end//// +////%Repeatsameslide start//// Repeatsameslide(repeatflg,sestr,addedL):=( regional(seL,flg1,ss,nn,nrep,tmp,tmp1,tmp2,tmp3,str,j,k); // global RepeatList, SCEOUTPUT, NonThinFlg @@ -4187,7 +4444,7 @@ Repeatsameslide(repeatflg,sestr,addedL):=( if(NonThinFlg==0, if(!contains(["\begi","\end{"],substring(str,0,5)),//17.01.15 if(MiniFlg==0, //180526from - println(SCEOUTPUT,"{\color[cmyk]{\thin,\thin,\thin,\thin}");//17.08.23 + println(SCEOUTPUT,"{\color[cmyk]{\thin,\thin,\thin,\thin}%");//180701 println(SCEOUTPUT,str); println(SCEOUTPUT,"}%"); , @@ -4206,7 +4463,7 @@ Repeatsameslide(repeatflg,sestr,addedL):=( ); if(NonThinFlg==1, if(!contains(["\begi","\end{"],substring(str,0,5)),//17.01.15 - println(SCEOUTPUT,"{\color[cmyk]{\thin,\thin,\thin,\thin}");//17.08.23 + println(SCEOUTPUT,"{\color[cmyk]{\thin,\thin,\thin,\thin}%");//180701 println(SCEOUTPUT,str); , println(SCEOUTPUT,str); @@ -4237,7 +4494,7 @@ Repeatsameslide(repeatflg,sestr,addedL):=( if(NonThinFlg==0, if(!contains(["\begi","\end{"],substring(str,0,5)),//180526from if(MiniFlg==0, - tmp1="{\color[cmyk]{\thin,\thin,\thin,\thin}";//17.08.23 + tmp1="{\color[cmyk]{\thin,\thin,\thin,\thin}%";//180701 tmp1=[tmp1,str,"}%"]; , tmp1=[str]; @@ -4255,7 +4512,7 @@ Repeatsameslide(repeatflg,sestr,addedL):=( ); if(NonThinFlg==1, if(!contains(["\begi","\end{"],substring(str,0,5)),//17.01.15 - tmp1="{\color[cmyk]{\thin,\thin,\thin,\thin}";//17.08.23 + tmp1="{\color[cmyk]{\thin,\thin,\thin,\thin}%";//180701 tmp1=[tmp1,str]; , tmp1=[str]; @@ -4283,7 +4540,9 @@ Repeatsameslide(repeatflg,sestr,addedL):=( ); );//16.12.05to ); +////%Repeatsameslide end//// +////%Presentation start//// Presentation(texfile):=Presentation(texfile,texfile); Presentation(texfile,txtfile):=( //help:Presentation(texfile,txtfile); @@ -4429,9 +4688,12 @@ Presentation(texfile,txtfile):=( println(SCEOUTPUT,"\setcounter{ketpicctra}{18}%"); println(SCEOUTPUT,"\if#1m \setcounter{ketpicctra}{1}\fi"); println(SCEOUTPUT,"\hypersetup{linkcolor=black}%"); + println(SCEOUTPUT,"");//180908 println(SCEOUTPUT,"\begin{layer}{118}{0}"); println(SCEOUTPUT,"\putnotee{122}{-\theketpicctra.05}{\small\thepage/\pageref{pageend}}"); - println(SCEOUTPUT,"\end{layer}\hypersetup{linkcolor=blue}}");//189524to + println(SCEOUTPUT,"\end{layer}\hypersetup{linkcolor="+LinkColor+"}"); + println(SCEOUTPUT,"");//180908 + println(SCEOUTPUT,"}");//189524to forall(ADDPACK,// 16.06.09from println(SCEOUTPUT,"\usepackage"+#); );// 16.06.09to @@ -4444,8 +4706,20 @@ Presentation(texfile,txtfile):=( forall(tmp3, println(SCEOUTPUT,#); ); - if(indexof(PathT,"platex")>0,tmp="\ketmarginJ",tmp="\ketmarginE"); // 16.06.09 + if(indexof(PathT,"platex")>0, //180903,180908from + tmp="\setmargin{"+text(25+SlideMargin_1)+"}{"; + tmp=tmp+text(145-SlideMargin_1)+"}{"; + tmp=tmp+text(15+SlideMargin_2)+"}{"; + tmp=tmp+text(100-SlideMargin_2)+"}"; + , + tmp="\setmargin{"+text(20+SlideMargin_1)+"}{"; + tmp=tmp+text(135-SlideMargin_1)+"}{"; + tmp=tmp+text(15+SlideMargin_2)+"}{"; + tmp=tmp+text(100-SlideMargin_2)+"}"; + ); // 180903,180908to + println(SCEOUTPUT,""); println(SCEOUTPUT,tmp); + println(SCEOUTPUT,""); println(SCEOUTPUT,"\ketslideinit"); println(SCEOUTPUT,""); forall(tmp, // 15.07.21 @@ -4571,10 +4845,12 @@ Presentation(texfile,txtfile):=( paradt_4=substring(paradt_4,0,tmp0-1); );//17.01.29until parafiles=select(parafiles,indexof(#,".tex")>0); + parafiles=sort(parafiles); //180627 if(indexof(paradt_4,"\input")==0,paradt_4="\"+paradt_4);//16.12.17 ); if(indexof(paradt_4,"include")>0, parafiles=select(parafiles,indexof(#,".pdf")>0); + parafiles=sort(parafiles); //180627 ); npara=length(parafiles); , @@ -4930,7 +5206,9 @@ Presentation(texfile,txtfile):=( println(SCEOUTPUT,"\end{document}"); closefile(SCEOUTPUT); ); +////%Presentation end//// +////%Mkslides start//// Mkslides():=( regional(sep,parent,texparentorg,tmp,tmp1,tmp2,tmp3,tmp4,flg); tmp4=Fhead; @@ -4994,7 +5272,9 @@ Mkslides():=( Fhead=tmp4; Texparent=texparentorg;//17.04.10 ); +////%Mkslides end//// +////%Mkslidesummary start//// Mkslidesummary():=( // 17.10.26 for R regional(texparentorg); texparentorg=Texparent; @@ -5059,7 +5339,9 @@ Mkslidesummary(inputfile,outputfile,options):=( kc(); Changework(dirworkorg);//17.04.10 ); +////%Mkslidesummary end//// +////%Example start//// Example(exorg):=Example(exorg,""); Example(exorg,suborg):=( //help:Example("Mxfun","diff"); @@ -5085,7 +5367,9 @@ Example(exorg,suborg):=( ); ); ); +////%Example end//// +////%BBdata start//// BBdata():=Bbdata(BBTarget,0); BBdata(fname):=Bbdata(fname,0); // 16.04.09 BBdata(fname,optionorg):=( @@ -5226,6 +5510,7 @@ BBdata(fname,optionorg):=( // setdirectory(Dirwork); tmp2; // 16.04.25 ); +////%BBdata end//// //help:end(); diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvhelpE.txt b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvhelpE.txt index 9a7edb2e99f..a5e5e8fc693 100755 --- a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvhelpE.txt +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvhelpE.txt @@ -1,4 +1,2 @@ //help:start(); -//help:Moviedata*(generate movie/para data); -//help:Paraamble*(Define preamble and postamble); //help:end(); diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvhelpJ.txt b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvhelpJ.txt index 354d6596a77..a5e5e8fc693 100755 --- a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvhelpJ.txt +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvhelpJ.txt @@ -1,4 +1,2 @@ //help:start(); -//help:Moviedata*(movieデータを定義 -//オプション : "Cut=１秒ã®ã‚³ãƒžæ•°(20)", "Div=全体ã®ã‚³ãƒžæ•°(80)"); //help:end(); diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvlogr.txt b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvlogr.txt index e79262aa42c..3b86853918f 100644 --- a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvlogr.txt +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvlogr.txt @@ -1,3 +1,12 @@ +// 20180711 +// Setpara changed ("Mag" removed ) +// 20180617 +// Setpara changed (Changework removed) +// Parafolder debugged/changed ( fbkup, some of Changework removed) +// Parafolder changed (time added ) +// Animatefiles,Mkflipfiles debugged ( sorting of tex files ) +// 20180615 +// Setpara changed (GLISTbkup) // 20180614 // Setpara changed (ReadOutData&Projpara removed fromGLISTbkup) // Setpara changed (the above also removed from COM2ndlist) diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvr.cs b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvr.cs index e2d256595ef..96e79b3f532 100755 --- a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvr.cs +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvr.cs @@ -14,7 +14,7 @@ // along with this program. If not, see <http://www.gnu.org/licenses/> // -println("ketcindymv(20180615) loaded"); +println("ketcindymv(20180711) loaded"); //help:start(); @@ -24,11 +24,12 @@ Setpara(pathorg,fstr,sL,options):= Setpara(pathorg,fstr,sL,options,optionsanim):=( //help:Setpara("folder name","funstr","range",options,optionsanim); //help:Setpara(folder,funstr,range,options); -//help:Setpara(options=["m/r","Div=25"]); +//help:Setpara(options=["Div=25"]); //help:Setpara(options2anim1=["Frate=10","Scale=1"]); //help:Setpara(options2anim2=["OpA=[loop,controls,buttonsize=3mm]"]); //help:Setpara(options2anim3=["OpA=+step"]); -//help:Setpara(options2anim4=["Mag=1600","Title=folder"]); +//help :Setpara(options2anim4=["Mag=1600","Title=folder"]); +//help:Setpara(options2anim4=["Title=folder"]); regional(path,tmp,tmp1,tmp2,tmp3,eqL,ndiv,gtmp,ctmp,nn,flg); if(length(pathorg)==0, path=Slidename,path=pathorg);//17.04.10 ParaPath=path; @@ -66,15 +67,12 @@ Setpara(pathorg,fstr,sL,options,optionsanim):=( COM2ndlistback=COM2ndlist; Dirworkbkup=Dirwork; //0611from Dirworksubbkup=Dirwork+pathsep()+ParaPath; - Changework(Dirworksubbkup); - Changework(Dirworkbkup); Fheadbkup=Fhead; //0611to gtmp=GLISTback; tmp1=select(1..(length(gtmp)),indexof(gtmp_#,"ReadOutData")>0); //180614from tmp2=[];tmp3=[]; if(length(tmp1)>0, //180615 nn=tmp1_(length(tmp1)); -// forall(tmp1,nn, tmp2=append(tmp2,nn); flg=0; tmp=min([nn+40,length(gtmp)]); @@ -112,9 +110,7 @@ Parafolder(fstr,sL,optionorg):=( //help:Paraslide(para=folder:layery:pos:input,scale); //help:Paraslide(para=folder:layery:pos:include:[width=100]); regional(nn,tmp,tmp1,tmp2,strL,eqL,waiting,outflg,pause, - mkr,mktex,options,sfL,dirbkup,fbkup,pfile,ctr,flg,varL); - Changework(Dirworkbkup); - Setfiles(Fheadbkup); + mkr,mktex,options,sfL,dirbkup,pfile,ctr,flg,varL,waitingR,timeC,timeR); tmp=indexof(fstr,"("); tmp1=substring(fstr,tmp,length(fstr)); tmp=indexof(tmp1,")"); @@ -127,7 +123,7 @@ Parafolder(fstr,sL,optionorg):=( if(length(strL)==0,options=append(options,"m")); mkr="A"; mktex="A"; - waiting=20; + waiting=30; outflg=0; pause=10; forall(eqL, @@ -153,10 +149,12 @@ Parafolder(fstr,sL,optionorg):=( mkr="Y"; mktex="Y"; ); ); + waitingR=min([length(sL)*waiting,120]);//180617 Changework(Dirworksubbkup); SCEOUTPUT = openfile("all.r"); println(SCEOUTPUT,""); closefile(SCEOUTPUT);//180608to + resetclock();//180617 if(outflg==1, //180606from CommonMake=1;//180609 ctr=1; @@ -164,21 +162,17 @@ Parafolder(fstr,sL,optionorg):=( tmp="000000"+text(ctr); pfile="p"+substring(tmp,length(tmp)-3,length(tmp)); Setfiles(pfile); - Changework(Dirworksubbkup); Movieframe(#); - Changework(Dirworksubbkup);//180608 ctr=ctr+1; ); CommonMake=-1;//180609 - Setfiles(fbkup); + Setfiles(Fheadbkup);//180617 + timeC=seconds();//180617 ); //180606to wait(pause); //180610 -// Changework(Dirworkbkup); sfL=[]; ctr=1; forall(1..(length(sL)),nn, - Changework(Dirworkbkup);//180611(2lines) - Setfiles(Fheadbkup); GLIST=GLISTback; GCLIST=GCLISTback; GOUTLIST=GOUTLISTback; @@ -191,18 +185,17 @@ Parafolder(fstr,sL,optionorg):=( COM2ndlist=COM2ndlistback; tmp="000000"+text(nn); pfile="p"+substring(tmp,length(tmp)-3,length(tmp)); - Setfiles(pfile); Changework(Dirworksubbkup); + Setfiles(pfile); sfL=append(sfL,FnameR); if(outflg==1, - Changework(Dirworksubbkup);//180606 - Setfiles(pfile); //180610(2lines) wait(pause); Movieframe(sL_nn); Changework(Dirworksubbkup);//180606 ctr=ctr+1; , Movieframe(sL_nn); + timeC=seconds();//180617 ); CommonMake=0;//180609 Setfiles(pfile); //180608 @@ -213,8 +206,7 @@ Parafolder(fstr,sL,optionorg):=( ); ); wait(pause); //180610 - Setfiles(fkbkup); - Changework(Dirworksubbkup); + Setfiles(Fheadbkup); GLIST=select(GLIST,indexof(#,"Projpara")==0); tmp1=replace(Dirworksubbkup,"\\","/"); //180611 tmp1=replace(tmp1,"\","/"); @@ -250,7 +242,7 @@ Parafolder(fstr,sL,optionorg):=( if(ErrFlag!=-1, waiting=min([waiting,8])*length(ParaSL); //180610 if(!isexists(Dirworksubbkup,Fnametex) % mktex=="Y", - CalcbyR("",cmdL,["Cat=n","m","Wait="+text(waiting)]); + CalcbyR("",cmdL,["Cat=n","m","Wait="+text(waitingR)]); , println("Parafolder finished"); ); @@ -258,6 +250,12 @@ Parafolder(fstr,sL,optionorg):=( parse(after); ); ); + if(ErrFlag!=-1,//180617from + timeR=seconds()-timeC; + println("C and R finished"); + println(" C : "+Sprintf(timeC,2)+" sec"); + println(" R : "+Sprintf(timeR,2)+" sec"); + ); //180617to Changework(Dirworkbkup); Setfiles(Fheadbkup); ); @@ -304,6 +302,7 @@ Animatefile(path,folder):=( tmp1=fileslist(tmp); tmp1=tokenize(tmp1,","); tmp1=select(tmp1,indexof(#,".tex")>0); + tmp1=sort(tmp1); //180617 texfiles=[];//180609from forall(tmp1, tmp=indexof(#,"."); @@ -580,6 +579,7 @@ Mkflipanime(path,folder):=( tmp=fileslist(Dirwork+pathsep()+folder); tmp=tokenize(tmp,","); tmp1=select(tmp,indexof(#,".tex")>0); //180609from + tmp1=sort(tmp1);//180617 texfiles=[]; forall(tmp1, tmp=indexof(#,"."); diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindyliboutlogr.txt b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindyliboutlogr.txt index 9c96a1c1f82..aa7eb97c1e9 100644 --- a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindyliboutlogr.txt +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindyliboutlogr.txt @@ -1,3 +1,26 @@ +// 20181029 +// in ReadOutData C callings, option=["Disp=n"] added +// 20181020 +// HatchdataR,Dotfilldata (Setscaling(SCALEX,SCALEY) +// 20181014 +// Rulerscale changed (mag added to "r" ) +// 20181013 +// Scatterplot debugged and changed ( Readcsv, for case of data list, option "m/r") +// Scatterplot changed (optionspt, optionsseg) +// Scatterplot changed (position addede to optionsseg) +// 20180906 +// Setobj debugged (objname removed) +// 20180902 +// Setobj changed (null argument) +// Mkviewobj changed (Cat=n) +// 20180727 +// Wireparadata, Sfcutparadata debugged ("char fname..." removed) +// 20180722 +// PlotdataR,Boxplot,Rulersclale changed (color option) +// 20180712 +// SfbdparadataC,... renamed to Sfbdparadata,... +// 20180617 +// CalcbyC debugged ( println removed) // 20180615 // CalcbyC debugged ( flg block changed) // kcC changed ( 1000 =>10000) diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindyliboutr.cs b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindyliboutr.cs index 5fbe676f93e..8f6a399f617 100644 --- a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindyliboutr.cs +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindyliboutr.cs @@ -14,7 +14,7 @@ // along with this program. If not, see <http://www.gnu.org/licenses/> // -println("ketcindylibout(20180612 loaded"); +println("ketcindylibout(20181029 loaded"); //help:start(); @@ -1296,6 +1296,7 @@ Writecsv(nmL,dataorg,file,optionorg):=( closefile(SCEOUTPUT); ); +////%HatchdataR start//// HatchdataR(nm,iostr,pltlist):=HatchdataR(nm,iostr,pltlist,[]); HatchdataR(nm,iostr,pltlist,optionorg):=( //17.09.18 //help:HatchdataR("1","ii",[["gr1"],["gr2","n"]]); @@ -1359,7 +1360,7 @@ HatchdataR(nm,iostr,pltlist,optionorg):=( //17.09.18 tmp=[tmp1,tmp2]; tmp=concat(tmp,reL); cmdL=concat(cmdL,[ - "Setscaling",[SCALEY], + "Setscaling",[SCALEX,SCALEY], //181020 "Setunitlen",[Dq+ULEN+Dq], name+"=Hatchdata",tmp, //16.12.23 "WriteOutData",[Dq+fname+Dq,Dq+name+Dq,name] @@ -1380,7 +1381,9 @@ HatchdataR(nm,iostr,pltlist,optionorg):=( //17.09.18 ); ); ); +////%HatchdataR end//// +////%PlotdataR start//// PlotdataR(name1,func,var):=PlotdataR(name1,PathR,func,var); PlotdataR(name1,Arg1,Arg2,Arg3):=( if(islist(Arg3), @@ -1454,6 +1457,7 @@ PlotdataR(name1,path,func,variable,optionorg):=( tmp2; ); ); +////%PlotdataR end//// PlotdiscR(nm,fun,varrng):=PlotdiscR(nm,fun,varrng,[]); PlotdiscR(nm,fun,varrng,options):=( @@ -1609,34 +1613,34 @@ Boxplot(nm,dataorg,ypos,dy,optionorg):=( pstr="["; tmp1=[bp_1,ypos-dy/2]; tmp2=[bp_1,ypos+dy/2]; - Listplot(name+text(1),[tmp1,tmp2],["Msg=no"]); + Listplot(name+text(1),[tmp1,tmp2],concat(options,["Msg=no"])); pstr=pstr+Dq+"sg"+name+text(1)+Dq+","; tmp1=[bp_2,ypos-dy]; tmp2=[bp_2,ypos+dy]; tmp3=[bp_4,ypos+dy]; tmp4=[bp_4,ypos-dy]; - Listplot(name+text(2),[tmp1,tmp2,tmp3,tmp4,tmp1],["Msg=no"]); + Listplot(name+text(2),[tmp1,tmp2,tmp3,tmp4,tmp1],append(options,"Msg=no")); pstr=pstr+Dq+"sg"+name+text(2)+Dq+","; tmp1=[bp_5,ypos-dy/2]; tmp2=[bp_5,ypos+dy/2]; - Listplot(name+text(3),[tmp1,tmp2],["Msg=no"]); + Listplot(name+text(3),[tmp1,tmp2],append(options,"Msg=no")); pstr=pstr+Dq+"sg"+name+text(3)+Dq+","; tmp1=[bp_3,ypos-dy]; tmp2=[bp_3,ypos+dy]; - Listplot(name+text(4),[tmp1,tmp2],["dr,2","Msg=no"]); + Listplot(name+text(4),[tmp1,tmp2],concat(options,["dr,2","Msg=no"])); pstr=pstr+Dq+"sg"+name+text(4)+Dq+","; tmp1=[bp_1,ypos]; tmp2=[bp_2,ypos]; - Listplot(name+text(5),[tmp1,tmp2],["da","Msg=no"]); + Listplot(name+text(5),[tmp1,tmp2],concat(options,["da","Msg=no"])); pstr=pstr+Dq+"sg"+name+text(5)+Dq+","; tmp1=[bp_4,ypos]; tmp2=[bp_5,ypos]; - Listplot(name+text(6),[tmp1,tmp2],["da","Msg=no"]); + Listplot(name+text(6),[tmp1,tmp2],concat(options,["da","Msg=no"])); pstr=pstr+Dq+"sg"+name+text(6)+Dq+","; out=bp_(6..length(bp)); if(length(out)>0, out=apply(out,[#,ypos]); - Pointdata(name+text(1),out,[0,"Size=4"]); + Pointdata(name+text(1),out,concat(options,[0,"Size=4"])); ); pstr=substring(pstr,0,length(pstr)-1)+"]"; println("generate totally "+name); @@ -1824,43 +1828,53 @@ Histplot(nm,dataorg,optionorg):=( ); ); -Scatterplot(nm,file):=Scatterplot(nm,file,[]); -Scatterplot(nm,file,optionorg):=( -//help:Scatterplot("1",path+filename); -//help:Scatterplot(options=["Reg=yes",A,B,C,"Size"=4"]); - regional(tmp,tmp1,tmp2,fname,name,reg,eqL,reL,cdysize, - options,dtx,dty,nn,mx,my,sx,sy,sxy,rr,aa,bb,size); +////%Scatterplot start//// +Scatterplot(nm,file):=Scatterplot(nm,file,[],[]); +Scatterplot(nm,file,options):=Scatterplot(nm,file,options,[]); +Scatterplot(nm,file,optionorg,optionsreg):=( +//help:Scatterplot("1",(path+)filename); +//help:Scatterplot("2",ptlist,["Size=2"],["da","Color=blue"]); +//help:Scatterplot("3",ptlist,["Reg=n"]); +//help:Scatterplot(options=["Reg=n","Size=3","Color="]); +//help:Scatterplot(options1=["Reg=y(n)",pointstyle]); +//help:Scatterplot(options2=[position([]), linestyle]); + regional(tmp,tmp1,tmp2,fname,name,reg,eqL,strL,cdysize, + options,dtx,dty,nn,mx,my,sx,sy,sxy,rr,aa,bb,size,pos); name="sc"+nm; options=optionorg; tmp=divoptions(options); eqL=tmp_5; - reL=tmp_6; - options=remove(options,reL); - cdysize=select(options,indexof(#,"size->")>0); - options=remove(options,cdysize); - size=4; - reg="yes"; + options=remove(options,tmp_6); + strL=tmp_7; //181013(2lines) + options=remove(options,strL); + size=3; + reg="y"; forall(eqL, tmp=indexof(#,"="); tmp1=Toupper(substring(#,0,1)); tmp2=substring(#,tmp,length(#)); if(tmp1=="R", - reg=tmp2; + reg=substring(tmp2,0,1); options=remove(options,[#]); ); if(tmp1=="S", size=parse(tmp2); options=remove(options,[#]); + options=append(options,"Size="+text(size));//181013 ); ); - if(indexof(file,".")==0, - fname=file+".csv"; + if(isstring(file), //181013 + if(indexof(file,".")==0, + fname=file+".csv"; + , + fname=file; + ); + tmp=Readcsv(fname,strL);//181013from , - fname=file; + tmp=file; ); - Readcsv(nm,fname); - tmp=concat(options,cdysize); - Pointdata(name,parse("rc"+nm),append(tmp,"Size="+text(size))); + parse("rc"+nm+"="+tmp); //181013to + Pointdata(name,parse("rc"+nm),options); tmp=parse("rc"+nm); dtx=apply(tmp,#_1); dty=apply(tmp,#_2); @@ -1873,29 +1887,44 @@ Scatterplot(nm,file,optionorg):=( rr=sxy/sx/sy; aa=sxy/sx^2; bb=my-aa*mx; + tmp1=optionsreg; + tmp=divoptions(tmp1); + reL=tmp_6; //181013(2lines) + tmp1=remove(tmp1,reL); + tmp1=append(tmp1,"Num=1"); + pos=[]; + if(length(reL)>0, + pos=reL_1; + ); tmp=Assign("a*x+b",["a",aa,"b",bb]); - if(reg!="no", - Plotdata(name,tmp,"x",append(options,"Num=2")); + if(reg!="n", + Plotdata(name,tmp,"x",tmp1); ); - if(length(reL)>=2, - Framedata2(name,[reL_1,reL_2]); - if(length(reL)>2, - tmp="r="+textformat(rr,3)+",\ y="; - tmp=tmp+textformat(aa,3)+"x"; - if(bb>0,tmp=tmp+"+",tmp=tmp+"-"); - tmp=tmp+textformat(abs(bb),3); - Expr([reL_3,"e",tmp]); - ); + if(length(pos)>0, //181013from + tmp="r="+textformat(rr,3)+",\ y="; + tmp=tmp+textformat(aa,3)+"x"; + if(bb>0,tmp=tmp+"+",tmp=tmp+"-"); + tmp=tmp+textformat(abs(bb),3); + Expr([pos,"e",tmp]); //181013to ); [mx,my,sx,sy,sxy,rr,bb,aa]; ); +////%Scatterplot end//// -Rulerscale(pt,hscale,vscale):=Rulerscale(pt,hscale,vscale,0.1); -Rulerscale(pt,hscale,vscale,tick):=( +////%Rulerscale start//// +Rulerscale(pt,hscale,vscale):=Rulerscale(pt,hscale,vscale,0.1,[]);//180722from +Rulerscale(Arg1,Arg2,Arg3,Arg4):=( + if(!islist(Arg4), + Rulerscale(Arg1,Arg2,Arg3,Arg4,[]); + , + Rulerscale(Arg1,Arg2,Arg3,0.2,Arg4); + ); +);//180722to +Rulerscale(pt,hscale,vscale,tick,options):=(//180722 //help:Rulerscale(A,["r",0,5,1],["s2",0,2,4]); //help:Rulerscale(A,["r",0,5,1],["f",10,"a",20,"w2","b"]); //help:Rulerscale(A,["r",0,5,1],["r",0,10,1],0.2); - regional(pA,pos,mrk,dir,tmp,tmp1,tmp2,tmp3); + regional(pA,pos,mrk,dir,mag,tmp,tmp1,tmp2,tmp3); pA=Lcrd(pt); if(length(hscale)>0, pos=[]; mrk=[]; dir=[]; @@ -1906,9 +1935,10 @@ Rulerscale(pt,hscale,vscale,tick):=( tmp1=hscale_2; tmp2=hscale_3; tmp3=hscale_4; + if(length(hscale)>4,mag=hscale_5,mag=1); //181014 tmp=floor((tmp2-tmp1)/tmp3); - pos=apply(0..tmp,tmp1+#*tmp3); - mrk=apply(pos,text(#)); + pos=apply(0..tmp,tmp1+#*tmp3);//181014 + mrk=apply(pos,text(#*mag)); dir=apply(1..length(pos),"s2"); , forall(2..(length(hscale)-2), @@ -1939,10 +1969,10 @@ Rulerscale(pt,hscale,vscale,tick):=( ); pos=apply(pos,[#,pA_2]); forall(1..length(pos), - Expr([pos_#,dir_#,mrk_#]); + Expr([pos_#,dir_#,mrk_#],options); tmp1=pos_#; - tmp2=pos_#-[0,tick/SCALEY]; - Listplot("rsh"+text(#),[tmp1,tmp2],["Msg=no"]); + tmp2=pos_#-Unscaling([0,tick]); //181017 + Listplot("rsh"+text(#),[tmp1,tmp2],concat(options,["Msg=no"])); ); ); if(length(vscale)>0, @@ -1954,9 +1984,10 @@ Rulerscale(pt,hscale,vscale,tick):=( tmp1=vscale_2; tmp2=vscale_3; tmp3=vscale_4; + if(length(vscale)>4,mag=vscale_5,mag=1); //181014 tmp=floor((tmp2-tmp1)/tmp3); pos=apply(0..tmp,tmp1+#*tmp3); - mrk=apply(pos,text(#)); + mrk=apply(pos,text(#*mag)); //181014 dir=apply(1..length(pos),"w2"); , forall(2..(length(vscale)-2), @@ -1987,13 +2018,14 @@ Rulerscale(pt,hscale,vscale,tick):=( ); pos=apply(pos,[pA_1,#]); forall(1..length(pos), - Expr([pos_#,dir_#,mrk_#]); + Expr([pos_#,dir_#,mrk_#],options); tmp1=pos_#; - tmp2=pos_#-[tick/SCALEX,0]; - Listplot("rsv"+text(#),[tmp1,tmp2],["Msg=no"]); + tmp2=pos_#-Unscaling([tick,0]); //181017 + Listplot("rsv"+text(#),[tmp1,tmp2],concat(options,["Msg=no"])); ); ); ); +////%Rulerscale end//// MkprecommandS():=MkprecommandS(6); MkprecommandS(prec):=( @@ -2244,7 +2276,7 @@ Dotfilldata(nm,iostr,pltlist,optionorg):=( tmp=[tmp1,tmp2]; tmp=concat(tmp,dense); cmdL=concat(cmdL,[ - "Setscaling",[SCALEY], + "Setscaling",[SCALEX,SCALEY], //181020 "Setunitlen",[Dq+ULEN+Dq], name+"=Dotfilldata",tmp, "WriteOutData",[Dq+fname+Dq,Dq+name+Dq,name], @@ -3537,15 +3569,15 @@ Mkviewobj(pathorg,fnameorg,cmdLorg,optionorg):=( cmdlist=MkprecommandR(); cmdlist=concat(cmdlist,["Openobj",[Dq+path+fname+Dq]]); cmdlist=concat(cmdlist,cmdL); - tmp=["Closeobj()",[],"ans="+Dq+"||||"+Dq,[]];//16.12.26 + tmp=["Closeobj()",[],""+Dq+"||||"+Dq,[]];//16.12.26 cmdlist=concat(cmdlist,tmp); tmp=append(options,"Cat=y"); tmp1=apply(tmp,Toupper(substring(#,0,1))); // 16.04.23from tmp1=select(tmp1,#=="W"); if(length(tmp1)==0, tmp=append(tmp,"Wait=5"); - );// 16.04.23until - CalcbyR("ans",cmdlist,tmp); + );// 16.04.23to + CalcbyR("",cmdlist,tmp); //180902 wait(WaitUnit*100); // 16.03.18 , vtx=cmdL_1; @@ -3587,14 +3619,20 @@ Mkviewobj(pathorg,fnameorg,cmdLorg,optionorg):=( ); ); -SetObj(str):=Objname(str,["m","v"]); //17.01.12 -SetObj(str,options):=Objname(str,options); //17.01.12 -Objnameoptions(str,options):=Objname(str,options);// 16.11.29 -Objname(str):=Objname(str,["m","v"]); // 16.11.29 -Objname(str,optionsorg):=( -//help:Objname("sample"); -//help:Objname(options=["m","v"]); +//Objname(str):=Objname(str,["m","v"]); //180906from +//Objname(str,options):=Setobj(str,options); +Setobj():=Setobj(Fhead,["m","v"]); //180901 +Setobj(Arg1):=( + if(isstring(Arg1), + Setobj(Arg1,["m","v"]); //17.01.12 + , + Setobj(Fhead,Arg1); //180902 + ); +); +Setobj(str,optionsorg):=( //180906to +//help:Setobj(["m","v"]); //help:Setobj("sample"); +//help:Setobj("sample",options); //help:Setobj(options=["m","v"]); regional(options); if(length(str)>0, @@ -3606,7 +3644,7 @@ Objname(str,optionsorg):=( , OCOPTION=["m","v"]; ); //17.12.23until - println([OCNAME,OCOPTION]); + println("generate OBJCMD. name="+OCNAME+", option="+OCOPTION); ); Mkobjcmd(nm,fd):=Mkobjcmd(nm,fd,[40,40,"+"]); @@ -4204,7 +4242,7 @@ Mkobjsymbcmd(path,symborg,size,rot,dir,pos,optionorg):=( tmp2=append(tmp2,tmp); ); parse("oc"+symborg+"="+tmp2); - println("cmd seq oc"+symborg+" generated"); // 16.06.10until +// println("cmd seq oc"+symborg+" generated"); // 16.06.10until OBJCMD=concat(OBJCMD,out);//16.11.29 out; ); @@ -4820,6 +4858,9 @@ ConvertFdtoC(Fd,name):=( FdC=concat(FdC,[tmp1_6]); ); +Startsurf():=StartsurfC(); +Startsurf(Arg):=StartsurfC(Arg); +Startsurf(restr,Nplist,Dsizelist,Epslist):=StartsurfC(restr,Nplist,Dsizelist,Epslist); StartsurfC():=StartsurfC("",[50,50],[1500,500,200],[0.01,0.1]);//180611renewed StartsurfC(Arg):=( regional(tmp); @@ -4839,11 +4880,11 @@ StartsurfC(Arg):=( ); ); StartsurfC(restr,Nplist,Dsizelist,Epslist):=(//180501 -//help:StartsurfC(); -//help:StartsurfC("reset"); -//help::StartsurfC([0.01,0.1]); -//help:StartsurfC([50,50],[1500,500,200],[0.01,0.1]); -//help:StartsurfC([50],[1500,500],[0.01,0.1]); +//help:Startsurf(); +//help:Startsurf("reset"); +//help::Startsurf([0.01,0.1]); +//help:Startsurf([50,50],[1500,500,200],[0.01,0.1]); +//help:Startsurf([50],[1500,500],[0.01,0.1]); regional(divL,sizeL,epsL); CommandListC=[];//180608(2lines) FuncListC=[]; @@ -5721,8 +5762,6 @@ CalcbyC(name,path,cmd,optionorg):=( waiting=40; wfile=Fhead+name+"end.txt"; //180517 hfile=Fhead+name+"header.h"; - println(Dirwork); - println(hfile); mfile=Fhead+name+".c"; wflg=0; forall(eqL, @@ -5815,7 +5854,9 @@ CalcbyC(name,path,cmd,optionorg):=( ExeccmdC(nm):=ExeccmdC(nm,[],["do"]); //180531 ExeccmdC(nm,options):=ExeccmdC(nm,options,["do"]); ExeccmdC(nm,optionorg,optionhorg):=( -//help:ExeccmdC("1",["m/r","Wait=30"],["do"]); +//help:ExeccmdC("1",options1,options2); +//help:ExeccmdC(options1=["dr(/da/do)","m/r","Wait=30"]); +//help:ExeccmdC(options2=["do(/nodisp/da/do)"]); regional(options,optionsh,name2,name3,waiting,dirbkup, eqL,reL,strL,fname,tmp,tmp1,tmp2,flg,wflg,varL); fname=Fhead+nm+".txt"; @@ -5861,6 +5902,7 @@ ExeccmdC(nm,optionorg,optionhorg):=( if(wflg==1,tmp1=append(options,"m")); if(wflg==-1,tmp1=append(options,"r")); tmp1=append(tmp1,"Wait="+text(waiting)); + tmp1=append(tmp1,"Disp=n"); //181024 CommandListC=prepend(" char fnameall[]="+Dqq(fname)+";",CommandListC); CommandListC=prepend(" printf("+Dqq("%s\n")+","+Dqq(Fhead)+");",CommandListC); //180608 tmp=select(CommandListC,indexof(#,"outputend")>0); @@ -5874,7 +5916,7 @@ ExeccmdC(nm,optionorg,optionhorg):=( if(ErrFlag==1, err("CommandListC is empty or execcmd is not completed"); , - varL=ReadOutData(fname); + varL=ReadOutData(fname,["Disp=n"]); //181029 GLIST=append(GLIST,"ReadOutData("+Dqq(fname)+")"); tmp1=select(varL,indexof(#,"h3d")==0); tmp2=remove(varL,tmp1); @@ -5906,13 +5948,15 @@ ExeccmdC(nm,optionorg,optionhorg):=( varL; ); +Sfbdparadata(nm,fd):=SfbdparadataC(nm,fd); +Sfbdparadata(nm,fd,options):=SfbdparadataC(nm,fd,options); +Sfbdparadata(nm,fdorg,optionorg,optionsh):=SfbdparadataC(nm,fdorg,optionorg,optionsh); SfbdparadataC(nm,fd):= SfbdparadataC(nm,fd,[],["nodisp"]); SfbdparadataC(nm,fd,options):= SfbdparadataC(nm,fd,options,["nodisp"]); SfbdparadataC(nm,fdorg,optionorg,optionsh):=( -//help:SfbdparadataC("1",Fd); -//help:SfbdparadataC(options2=["c(default)/r/m"]); +//help:Sfbdparadata("1",Fd); regional(funnm,fd,options,name2,name3,name2h,name3h,waiting, eqL,reL,strL,fname,tmp,tmp1,tmp2,flg,wflg,cmdflg); if(ChNumber==0,ChNumber=Ch); @@ -5989,7 +6033,7 @@ SfbdparadataC(nm,fdorg,optionorg,optionsh):=( if(ErrFlag==1, err("Sfbdparadata not completed"); , - ReadOutData(fname); + ReadOutData(fname,["Disp=n"]); //181029 GLIST=append(GLIST,"ReadOutData("+Dqq(fname)+")"); if(islist(parse(name3)), tmp1=name2+"=Projpara("+Dqq(name3)+",["; @@ -6017,14 +6061,16 @@ SfbdparadataC(nm,fdorg,optionorg,optionsh):=( ); ); +Crvsfparadata(nm,fk,sfbd,fd):=CrvsfparadataC(nm,fk,sfbd,fd); +Crvsfparadata(nm,fk,sfbd,fd,options):=CrvsfparadataC(nm,fk,sfbd,fd,options); +Crvsfparadata(nm,Fk,sfbdorg,fdorg,optionorg,optionsh):= + CrvsfparadataC(nm,Fk,sfbdorg,fdorg,optionorg,optionsh); CrvsfparadataC(nm,fk,sfbd,fd):= CrvsfparadataC(nm,fk,sfbd,fd,[],["nodisp"]); CrvsfparadataC(nm,fk,sfbd,fd,options):= - SfbdparadataC(nm,fk,sfbd,fd,options,["nodisp"]); + CrvsfparadataC(nm,fk,sfbd,fd,options,["nodisp"]); CrvsfparadataC(nm,Fk,sfbdorg,fdorg,optionorg,optionsh):=( -//help:CrvsfparadataC("1","ax3d","sfbd3d1",Fd); -//help:CrvsfparadataC(options2=["c(default)/r/m"]); -//help:CrvsfparadataC(optionsh=["nodisp"]); +//help:Crvsfparadata("1","ax3d","sfbd3d1",Fd); regional(funnm,sfbd,fd,options,name2,name3,name2h,name3h,waiting, eqL,reL,strL,fname,tmp,tmp1,tmp2,flg,wflg,flg,ii,jj,eps,cmdlfg); eps=10^(-5); @@ -6117,7 +6163,7 @@ CrvsfparadataC(nm,Fk,sfbdorg,fdorg,optionorg,optionsh):=( if(ErrFlag==1, err("Crvsfparadata not completed"); , - ReadOutData(fname); + ReadOutData(fname,["Disp=n"]); //181029 GLIST=append(GLIST,"ReadOutData("+Dqq(fname)+")"); if(islist(parse(name3)), tmp1=name2+"=Projpara("+Dqq(name3)+",["; @@ -6145,12 +6191,16 @@ CrvsfparadataC(nm,Fk,sfbdorg,fdorg,optionorg,optionsh):=( ); ); +Crv3onsfparadata(nm,crv3d,sfbd,fd):=Crv3onsfparadataC(nm,crv3d,sfbd,fd); +Crv3onsfparadata(nm,crv3d,sfbd,fd,options):=Crv3onsfparadataC(nm,crv3d,sfbd,fd,options); +Crv3onsfparadata(nm,crv3d,sfbdorg,fdorg,optionorg,optionsh):= + Crv3onsfparadataC(nm,crv3d,sfbdorg,fdorg,optionorg,optionsh); Crv3onsfparadataC(nm,crv3d,sfbd,fd):= Crv3onsfparadataC(nm,crv3d,sfbd,fd,[],["nodisp"]); Crv3onsfparadataC(nm,crv3d,sfbd,fd,options):= Crv3onsfparadataC(nm,crv3d,sfbd,fd,options,["nodisp"]); Crv3onsfparadataC(nm,crv3d,sfbdorg,fdorg,optionorg,optionsh):=( -//help:Crv3onsfparadataC("1","sc3","sfbd3d1",fd); +//help:Crv3onsfparadata("1","sc3","sfbd3d1",fd); regional(funnm,sfbd,fd,options,name3,name3h,name2,name2h,waiting, eqL,reL,strL,fname,tmp,tmp1,tmp2,flg,wflg,flg,ii,jj,eps,cmdflg); tmp1=replace(crv3d,"3d","2d"); @@ -6249,7 +6299,7 @@ Crv3onsfparadataC(nm,crv3d,sfbdorg,fdorg,optionorg,optionsh):=( if(ErrFlag==1, err("Crvonsfparadata not completed"); , - ReadOutData(fname); + ReadOutData(fname,["Disp=n"]); GLIST=append(GLIST,"ReadOutData("+Dqq(fname)+")"); if(islist(parse(name3)), tmp1=name2+"=Projpara("+Dqq(name3)+",["; @@ -6277,12 +6327,16 @@ Crv3onsfparadataC(nm,crv3d,sfbdorg,fdorg,optionorg,optionsh):=( ); ); +Crv2onsfparadata(nm,crv2d,sfbd,fd):=Crv2onsfparadataC(nm,crv2d,sfbd,fd); +Crv2onsfparadata(nm,crv2d,sfbd,fd,options):=Crv2onsfparadataC(nm,crv2d,sfbd,fd,options); +Crv2onsfparadata(nm,crv2d,sfbd,fdorg,options,optionsh):= + Crv2onsfparadataC(nm,crv2d,sfbd,fdorg,options,optionsh); Crv2onsfparadataC(nm,crv2d,sfbd,fd):= Crv2onsfparadataC(nm,crv2d,sfbd,fd,["c"],["do"]); Crv2onsfparadataC(nm,crv2d,sfbd,fd,options):= Crv2onsfparadataC(nm,crv2d,sfbd,fd,options,["do"]); Crv2onsfparadataC(nm,crv2d,sfbd,fdorg,options,optionsh):=( -//help:Crv2onsfparadataC("1","gp1","sfbd3d1",fd); +//help:Crv2onsfparadata("1","gp1","sfbd3d1",fd); regional(fd,uname,vname,str,tmpfun,ii,jj,crv3d,tmp,tmp1,tmp2); Changestyle3d(crv2d,["nodisp"]); crv3d=crv2d+"3d"; @@ -6304,12 +6358,16 @@ Crv2onsfparadataC(nm,crv2d,sfbd,fdorg,options,optionsh):=( Crv3onsfparadataC(nm,crv3d,sfbd,fdorg,options,optionsh); ); +Wireparadata(nm,sfbd,fd,wr1,wr2):=WireparadataC(nm,sfbd,fd,wr1,wr2); +Wireparadata(nm,sfbd,fd,wr1,wr2,options):=WireparadataC(nm,sfbd,fd,wr1,wr2,options); +Wireparadata(nm,sfbd,fdorg,wr1,wr2,optionorg,optionsh):= + WireparadataC(nm,sfbd,fdorg,wr1,wr2,optionorg,optionsh); WireparadataC(nm,sfbd,fd,wr1,wr2):= WireparadataC(nm,sfbd,fd,wr1,wr2,[],["nodisp"]); WireparadataC(nm,sfbd,fd,wr1,wr2,options):= WireparadataC(nm,sfbd,fd,wr1,wr2,options,["nodisp"]); WireparadataC(nm,sfbd,fdorg,wr1,wr2,optionorg,optionsh):=( -//help:WireparadataC("1","sfbd3d1",fd,5,5); +//help:Wireparadata("1","sfbd3d1",fd,5,5); regional(funnm,fd,options,name2,name3,name2h,name3h,waiting, eqL,reL,strL,fname,fnameh,tmp,tmp1,tmp2,flg,wflg,flg,ii,jj,eps,udata,vdata,cmdflg); eps=10^(-5); @@ -6396,6 +6454,7 @@ WireparadataC(nm,sfbd,fdorg,wr1,wr2,optionorg,optionsh):=( tmp=replace(tmp,"fname","fnameall"); cmdL_8=tmp; cmdL_7=" readoutdata3(fnameall,"+Dqq(sfbd)+",sfbd);"; cmdL=append(cmdL," outputend(dirfname);"); + cmdL=remove(cmdL,[cmdL_3,cmdL_4]); //180827 CommandListC=concat(CommandListC,cmdL); //180531to , if(wflg==1,tmp1=append(options,"m")); @@ -6407,7 +6466,7 @@ WireparadataC(nm,sfbd,fdorg,wr1,wr2,optionorg,optionsh):=( if(ErrFlag==1, err("Wireparadata not completed"); , - ReadOutData(fname); + ReadOutData(fname,["Disp=n"]); GLIST=append(GLIST,"ReadOutData("+Dqq(fname)+")"); ReadOutData(fnameh); GLIST=append(GLIST,"ReadOutData("+Dqq(fnameh)+")"); @@ -6437,6 +6496,10 @@ WireparadataC(nm,sfbd,fdorg,wr1,wr2,optionorg,optionsh):=( ); ); +Intersectcrvsf(nm,crv,fd):=IntersectcrvsfC(nm,crv,fd); +Intersectcrvsf(nm,crv,fd,Arg):=IntersectcrvsfC(nm,crv,fd,Arg); +Intersectcrvsf(nm,crv3d,fdorg,bdyeq,optionorg):= + IntersectcrvsfC(nm,crv3d,fdorg,bdyeq,optionorg); IntersectcrvsfC(nm,crv,fd):=IntersectcrvsfC(nm,crv,fd,"",[]); IntersectcrvsfC(nm,crv,fd,Arg):=( if(isstring(Arg), @@ -6446,7 +6509,7 @@ IntersectcrvsfC(nm,crv,fd,Arg):=( ); ); IntersectcrvsfC(nm,crv3d,fdorg,bdyeq,optionorg):=( -//help:IntersectcrvsfC("1",curve,fd); +//help:Intersectcrvsf("1",curve,fd); regional(fd,funnm,name,crv,fd,options,reL,fname,crvfname,argR, waiting,tmp,tmp1,tmp2,flg,wflg,pts,cmdflg); fd=ConvertFdtoC(fdorg); @@ -6527,20 +6590,24 @@ IntersectcrvsfC(nm,crv3d,fdorg,bdyeq,optionorg):=( if(ErrFlag==1, err("Intersectcrvsf not completed"); , - ReadOutData(fname); + ReadOutData(fname,["Disp=n"]); //181029 ); println("generate "+name); parse(name); ); ); +Sfcutparadata(nm,cutfunL,sfbd,fd):=SfcutparadataC(nm,cutfunL,sfbd,fd); +Sfcutparadata(nm,cutfunL,sfbd,fd,options):=SfcutparadataC(nm,cutfunL,sfbd,fd,options); +Sfcutparadata(nm,cutfunLorg,sfbd,fdorg,optionorg,optionsh):= + SfcutparadataC(nm,cutfunLorg,sfbd,fdorg,optionorg,optionsh); SfcutparadataC(nm,cutfunL,sfbd,fd):=(//180505 SfcutparadataC(nm,cutfunL,sfbd,fd,[],["nodisp"]); ); SfcutparadataC(nm,cutfunL,sfbd,fd,options):= SfcutparadataC(nm,cutfunL,sfbd,fd,options,["nodisp"]); SfcutparadataC(nm,cutfunLorg,sfbd,fdorg,optionorg,optionsh):=( -//help:SfcutparadataC("1","2*x+3*y+z=1","sfbd3d",fd); +//help:Sfcutparadata("1","2*x+3*y+z=1","sfbd3d",fd); regional(funnm,cutfunL,fd,options,name2,name3,name2h,name3h,waiting, eqL,reL,strL,fname,fnameh,tmp,tmp1,tmp2,flg,wflg,flg,ii,jj,eps,cmdflg); eps=10^(-5); @@ -6608,6 +6675,7 @@ SfcutparadataC(nm,cutfunLorg,sfbd,fdorg,optionorg,optionsh):=( tmp=replace(tmp,"fname","fnameall"); cmdL_6=tmp; cmdL_5=" readoutdata3(fnameall,"+Dqq(sfbd)+",sfbd);"; cmdL=append(cmdL," outputend(dirfname);"); + cmdL=remove(cmdL,[cmdL_1,cmdL_2]); //180827 CommandListC=concat(CommandListC,cmdL); //180531to , if(wflg==1,tmp1=append(options,"m")); @@ -6619,7 +6687,7 @@ SfcutparadataC(nm,cutfunLorg,sfbd,fdorg,optionorg,optionsh):=( if(ErrFlag==1, err("Sfcutparadata not completed"); , - ReadOutData(fname); + ReadOutData(fname,["Disp=n"]); //1810209 GLIST=append(GLIST,"ReadOutData("+Dqq(fname)+")"); ReadOutData(fnameh); GLIST=append(GLIST,"ReadOutData("+Dqq(fnameh)+")"); diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketpiccurrent.r b/Master/texmf-dist/scripts/ketcindy/ketlib/ketpiccurrent.r index 840f076cf8e..160710e857b 100755 --- a/Master/texmf-dist/scripts/ketcindy/ketlib/ketpiccurrent.r +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketpiccurrent.r @@ -16,10 +16,54 @@ ######################################### -ThisVersion<- "KeTpic for R v5_2_4(20180615)" +ThisVersion<- "KeTpic for R v5_2_4(20181024)" print(ThisVersion) +# 20181024 +# Wireparadata debugged ( for DuL(DvL)=c(..) ) +# Nohiddenpara2 debugged (for SeL=Null ) +# 20181020 +# Setscaling changed ( Setscaling(scalex,scaley) supported ) +# 20181019 +# Arrowhead changed(debugged) ( for basic1.cs ) +# 20181017 +# Drwxy debugged (Doscaling) +# Arrowhead debugged (Unscaling removed) +# Paramplot debugged (Assign(fun,var,"t")) +# 20181015 +# Listplot debugged ( Unscaling implemented ) +# 20180929 +# Paramplot Plotdata, Spacecurve , Implicitplot changed +# ( Dt,dx not divided by N) +# Shade changed (Kyoukai => Joincrvs) +# 20180928 +# Paramplot changed ( case of stationary point) +# 20180901 +# Objcurve debugged ( Assign rewritten ) +# 20180820,21 +# Drwxy changed ( optional arguments added ) +# Setax changed (ARROWSIZE removed ) +# 20180812 +# Assign debugged ( case nchar(vname)>1) +# 20180808 +# Scalept3pt changed (ratio) +# 20180807 +# Reflect3pt,Reflect3data,Scale3pt,Scale3data added +# 20180717 +# Hatchdata debugged (width option) +# Enclosing debugged ( for closed curve ) +# 20180713 +# Enclosing2 debugged (for Lineplot: distance of pts added) +# 20180711 +# Enclosing2 debugged (length => Length) +# 20180707 +# Enclosing2 debugged (epspara) +# 20180706 +# Enclosing2 debugged (crv => c) +# Hatchdata changed ( Interval > *2 ) +# 20180621 +# Kyoukai debugged (1st point converted to matrix, length=>Length) # 20180615 # Assign changed (Replace function added) # 20180603 @@ -428,8 +472,8 @@ print(ThisVersion) XMIN<- -5 XMAX<- 5 YMIN<- -5 ; YMAX<- 5 -ZIKU<- "line" -ARROWSIZE<- 1 +ZIKU<- "l" +#ARROWSIZE<- 1 XNAME<- "$x$" XPOS<- "e" YNAME<- "$y$" @@ -475,8 +519,8 @@ Ketinit<- function(){ XMIN<<- -5 XMAX<<- 5 YMIN<<- -5 ; YMAX<<- 5 -ZIKU<<- "line" -ARROWSIZE<<- 1 +ZIKU<<- "l" +#ARROWSIZE<<- 1 XNAME<<- "$x$" XPOS<<- "e" YNAME<<- "$y$" @@ -916,11 +960,12 @@ Arrowdata<- function(...) ###################################### +# 2018.10.19 for new basic1.cs # 2013.11.13 No Intersect debugged -Arrowhead<-function(...) -{ ## Scaling is implemented - ## 12.01.08 Kirikomi +Arrowhead<-function(...){ + ## Scaling is implemented +　 ## 12.01.08 Kirikomi Eps=10^(-3) varargin<-list(...) Nargs<-length(varargin) @@ -959,60 +1004,56 @@ Arrowhead<-function(...) } Ookisa<-1000/2.54/MilliIn*Ookisa Theta<-Hiraki*pi/180 + P<- Doscaling(P) + Houkou<- Doscaling(Houkou) if(Nrow(Houkou)>1){ - P<- Doscaling(P) - Houkou<- Doscaling(Houkou) - Tmp<-Nearestpt(P,Houkou) - A<-Tmp[[1]] + Tmp<-Nearestpt(P,Houkou) #181019 (2lines) + P<- Tmp[[1]] I<-floor(Tmp[[2]]) if(I==1){# 180511 if(Norm(Ptend(Houkou)-Ptstart(Houkou))<Eps){ I=Numptcrv(Houkou) } } - G<-Circledata(c(P,Ookisa*cos(Theta)),N=10) #17.11.29 + G<-Circledata(c(P,Ookisa*cos(Theta)),"Num=10") #181019(2lines) Flg<- 0 # 13.11.13 JL<-seq(I,1,by=-1) for (J in JL){ - B<-Ptcrv(J,Houkou) - Tmp<-IntersectcurvesPp(Listplot(list(A,B)),G) #180510 - if(length(Tmp)>0){ - Flg<- 1 - break + Tmp1=matrix(c(P,Op(J,Houkou)),ncol=2,byrow=TRUE) #181019 +# Tmp<-IntersectcurvesPp(Tmp1,G,0.001,0.01) + Tmp<-IntersectcrvsPp(Tmp1,G) + if(Length(Tmp)>0){ + Houkou<-P-Op(1,Tmp[[1]]) + Flg<- 1 + break } - A<-B } if(Flg==0){ # 13.11.13 print("Arrowhead may be too large (no intersect)") return(P) } - Houkou<-P-Op(1,Tmp[[1]]) - Houkou<- Unscaling(Houkou) - P<- Unscaling(P) } - P<- Doscaling(P) - Houkou<- Doscaling(Houkou) Ev<--1/Norm(Houkou)*Houkou Nv<-c(-Ev[2],Ev[1]) if(length(grep("c",Str))>0){ - P<-P-0.5*Ookisa*cos(Theta)*Ev + P<- P-0.5*Ookisa*cos(Theta)*Ev } if(length(grep("b",Str))>0){ - P<-P-Ookisa*cos(Theta)*Ev + P<- P-Ookisa*cos(Theta)*Ev } - A<-P+Ookisa*cos(Theta)*Ev+Ookisa*sin(Theta)*Nv - B<-P+Ookisa*cos(Theta)*Ev-Ookisa*sin(Theta)*Nv + A<- P+Ookisa*cos(Theta)*Ev+Ookisa*sin(Theta)*Nv + B<- P+Ookisa*cos(Theta)*Ev-Ookisa*sin(Theta)*Nv if(length(grep("l",Str,fixed=TRUE))>0){ - Tmp<-Listplot(list(A,P,B)) + Tmp<- matrix(c(A,P,B),ncol=2,byrow=TRUE)#181019(2lines) Tmp1<- Unscaling(Tmp) Drwline(Tmp1,Futosa) } else{ C<- P+(1-Cut)*((A+B)/2-P) # 12.01.07 - Tmp<- Listplot(list(A,P,B,C,A)) # 12.01.07 + Tmp<- matrix(c(A,P,B,C,A),ncol=2,byrow=TRUE) #181019(2lines) Tmp1<- Unscaling(Tmp) Shade(Tmp1) - Tmp=Listplot(c(A,P,B,C,A,P)) # 15.6.20 + Tmp= matrix(c(A,P,B,C,A,P),ncol=2,byrow=TRUE)#181019(2lines) Tmp1=Unscaling(Tmp) Drwline(Tmp1,0.1) # 15.06.11, 15.06.14 } @@ -1151,14 +1192,17 @@ Arrowline<- function(...) R<- P+Yapos*(Q-P) Tmp=Q-Unscaling(0.2*Ookisa/2*(Q-P)/Norm(Q-P)) # 15.10.24 Drwline(Listplot(c(P,Tmp)),Futosa) + Tmp=SCALEY + Setscaling(1) Arrowhead(R,Q-P,Ookisa,Hiraki,Futosa,Cutstr,Str) + Setscaling(Tmp) } ######################################### Assign<- function(...){ Replace=function (vname,rep,str){#180615from - opv=c("+","-","*","/","(",")","=","<",">",""," ") + opv=c("+","-","*","/","(",")","=","<",">",""," ",",") #180812 out="" start=1 Tmp=gregexpr(vname,str,fixed=TRUE) @@ -1166,15 +1210,16 @@ Assign<- function(...){ if(min(Vp)>0){ for(j in Vp){ if(j==1){bf=""}else{bf=substring(str,j-1,j-1)} - if(j==nchar(str)){af=""}else{af=substring(str,j+1,j+1)} + Tmp=j+nchar(vname)-1 #180812(2lines) + if(Tmp==nchar(str)){af=""}else{af=substring(str,Tmp+1,Tmp+1)} tmp1=length(intersect(bf,opv)) tmp2=length(intersect(af,opv)) - tmp=substring(str,start,j) + tmp=substring(str,start,j+nchar(vname)-1) #180812 if((tmp1>0)&&(tmp2>0)){ tmp=gsub(vname,rep,tmp,fixed=TRUE) } out=paste(out,tmp,sep='') - start=j+1 + start=j+nchar(vname) #180812 } } out=paste(out,substring(str,start,nchar(str)),sep='') @@ -1261,13 +1306,21 @@ Assign<- function(...){ } } } + +FlagL<<- 0 + for (I in seq(1,length(L),by=2)){ Vname<- L[[I]] Val<- L[[I+1]] if(mode(Val)=="numeric"){ - if(Nrow(Val)==1){ + if(Nrow(Val)==1){ for (K in Looprange(1,length(Val))){ - Tmp<- paste(Vname,"[", as.character(K),"]",sep="") + if(length(Val)==1){ + Tmp<- Vname + } + else{ + Tmp<- paste(Vname,"[", as.character(K),"]",sep="") + } if(mode(Val[K])=="numeric"){ Tmp1<- paste("(",as.character(Val[K]),")",sep="") } @@ -2373,24 +2426,69 @@ Drwpt<-function(...) ###################################################### -Drwxy<-function(...) -{ +Drwxy<-function(...){ #180820 varargin<-list(...) Nargs <- length(varargin) - Tmp<-grep("arrow", ZIKU) - if(length(Tmp)>0) - { - Arrowline(c(XMIN,GENTEN[2]),c(XMAX,GENTEN[2]),ARROWSIZE) - Arrowline(c(GENTEN[1],YMIN),c(GENTEN[1],YMAX),ARROWSIZE) + Origin=GENTEN + Origins=Doscaling(Origin) #181016 + Xrng=c(XMIN,XMAX) + Yrng=c(YMIN,YMAX) + Tmp1=Doscaling(c(XMIN,YMIN)) #181017from + Tmp2=Doscaling(c(XMAX,YMAX)) + Xrngs=c(Tmp1[1],Tmp2[1]) + Yrngs=c(Tmp1[2],Tmp2[2]) #181017from + Ziku=ZIKU #180821from + Xname=XNAME + Xpos=XPOS + Yname=YNAME + Ypois=YPOS + Oname=ONAME + Opos=OPOS #180821to + for(J in Looprange(1,Nargs)){ + Tmp=strsplit(varargin[[J]],"=") + Tmp=Tmp[[1]] + Tmp1=toupper(substring(Tmp[1],1,1)) + Tmp2=Tmp[2] + if(Tmp1=="O"){ + Origin=eval(parse(text=Tmp2)) + } + if(Tmp1=="X"){ + Xrng=eval(parse(text=Tmp2)) + } + if(Tmp1=="Y"){ + Yrng=eval(parse(text=Tmp2)) + } + if(Tmp1=="A"){ #180821from + if(substring(Tmp2,1,1)=="c"){ + Tmp2=substring(Tmp2,3,nchar(Tmp2)-1) + } + Tmp2=gsub(",","','",Tmp2,fixed=TRUE) + Tmp2=paste("'",Tmp2,"'",sep="") + Tmp=paste("Setax(",Tmp2,")",sep="") + eval(parse(text=Tmp)) #180821to + } + } + Xrng=Xrng+Origin[1] + Yrng=Yrng+Origin[2] + Xrngs=Xrngs+Origins[1] #181016(2lines) + Yrngs=Yrngs+Origins[2] + Tmp<- substring(ZIKU,1,1) #180821 + if(Tmp=="a") + { + Tmp=substring(ZIKU,2,nchar(ZIKU)) + if(nchar(Tmp)==0){Tmp=1}else{Tmp=eval(parse(text=Tmp))} + Arrowline(c(Xrngs[1],Origins[2]),c(Xrngs[2],Origins[2]),Tmp)#181016(2lines) + Arrowline(c(Origins[1],Yrngs[1]),c(Origins[1],Yrngs[2]),Tmp) } else { - Drwline(Listplot(c(XMIN,GENTEN[2]),c(XMAX,GENTEN[2]))) - Drwline(Listplot(c(GENTEN[1],YMIN),c(GENTEN[1],YMAX))) + Drwline(Listplot(c(Xrngs[1],Origins[2]),c(Xrngs[2],Origins[2])))#181016(2lines) + Drwline(Listplot(c(Origins[1],Yrngs[1]),c(Origins[1],Yrngs[2]))) } - Letter(c(XMAX,GENTEN[2]),XPOS,XNAME) - Letter(c(GENTEN[1],YMAX),YPOS,YNAME) - Letter(GENTEN,OPOS,ONAME); + Letter(c(Xrng[2],Origin[2]),XPOS,XNAME) + Letter(c(Origin[1],Yrng[2]),YPOS,YNAME) + Letter(Origin,OPOS,ONAME) + Setax(Ziku,Xname,Xpos,Yname,Ypois,Oname,Opos) #180821 } ########################################## @@ -3016,7 +3114,8 @@ Hatchdata<- function(...) ShaL<- list() Nargs<- length(varargin) Kakudo<- 45 - Kankaku<- 0.125*1000/2.54/MilliIn +# Kankaku<- 0.125*1000/2.54/MilliIn + Kankaku<- 0.25*1000/2.54/MilliIn #180706 Tmp<- Doscaling(c(XMIN,YMIN)) Xmn<- Tmp[1]; Ymn<- Tmp[2] Tmp<- Doscaling(c(XMAX,YMAX)) @@ -3034,7 +3133,7 @@ Hatchdata<- function(...) Kakudo<- varargin[[N+1]] if(N==Nargs-2) { - Kankaku<- 0.125*varargin[[Nargs]] + Kankaku<- Kankaku*varargin[[Nargs]] #180716 } } NaitenL<- varargin[[1]] @@ -3944,19 +4043,19 @@ Kyoukai<- function(...) Eps<- 10.0^(-4) #17.09.24 PLall<- list() Sflg<- 0 - N<- length(DataL) + N<- Length(DataL) #180621 for (I in Looprange(1,N)){ Data<- Op(I, DataL) - Tmp<- Op(length(Data),Data) - if(mode(Tmp)=="numeric" && Nrow(Tmp)==1 && length(Tmp)>1){ - Rg<-Tmp ; Nd<-length(Data)-1 + Tmp<- Op(Length(Data),Data) + if(mode(Tmp)=="numeric" && Nrow(Tmp)==1 && Length(Tmp)>1){ #180621 + Rg<-Tmp ; Nd<- Length(Data)-1 #180621 } else{ if(mode(Tmp)=="character"){ - Rg<- Tmp ; Nd<-length(Data)-1 + Rg<- Tmp ; Nd<- Length(Data)-1 #180621 } else{ - Rg<- "c" ; Nd<-length(Data) + Rg<- "c" ; Nd<- Length(Data) #180621 } } for (J in Looprange(1,Nd)){ @@ -3977,7 +4076,7 @@ Kyoukai<- function(...) P<- Ptstart(Tmp) Q<- Ptend(Tmp) if(Norm(P2-P)>Eps && Norm(P2-Q)>Eps){ - Tmp< Length(PL) + Tmp< Length(PL) #180621 PL<-PL[Tmp:1,] Pfirst<- Ptstart(PL) Plast<- Ptend(PL) @@ -3986,11 +4085,11 @@ Kyoukai<- function(...) } else{ if(Norm(P1-Plast)<Eps){ - Stp<-1; Ks<-2; Ke=Length(Points) + Stp<-1; Ks<-2; Ke=Length(Points) #180621 } else{ if(Norm(P2-Plast)<Eps) { - Stp<- -1; Ks<-Length(Points)-1; Ke=1 + Stp<- -1; Ks<-Length(Points)-1; Ke=1 #180621 } else{ Tmp<-Appendrow(PL,c(Inf,Inf)) @@ -3998,7 +4097,7 @@ Kyoukai<- function(...) Sflg<- 1 Pfirst<- P1 Plast<- P2 - Stp<- 1; Ks<- Length(Points)-1; Ke<- 1 + Stp<- 1; Ks<- Length(Points)-1; Ke<- 1 #180621 } } for (K in seq(Ks,Ke, by=Stp)){ @@ -4009,7 +4108,7 @@ Kyoukai<- function(...) } } if(Norm(Pfirst-Plast)>Eps){ - Np<- Length(PL) + Np<- Length(PL) #180621 if(Rg=="c"){ Tmp<- Appendrow(PL,Pfirst) PL<- Tmp @@ -4046,7 +4145,7 @@ Kyoukai<- function(...) Tmp<- Appendrow(Tmp,Q) PL<- Appendrow(Tmp,Pfirst) } - else if(mode(Rg)=="numeric" && Nrow(Rg)==1 && length(Rg)>1){ + else if(mode(Rg)=="numeric" && Nrow(Rg)==1 && Length(Rg)>1){ #180621 Tmp<- Kukeiwake(PL) Tmp1<- Op(1,Tmp) Tmp2<- Naigai(Rg,list(Tmp1)) @@ -4058,7 +4157,7 @@ Kyoukai<- function(...) } } } - Tmp<- Ptstart(PL) + Tmp<- matrix(Ptstart(PL),nrow=1) #180621 for (J in Looprange(2,Length(PL))){ P<- Op(J,PL) Q<- Op(Length(Tmp),Tmp) @@ -4070,7 +4169,7 @@ Kyoukai<- function(...) PL<-Tmp PLall<-c(PLall,list(PL)) } - if(length(PLall)==1 && Sflg==0){ + if(Length(PLall)==1 && Sflg==0){ Tmp<- Op(1,PLall) # Tmp<- Op(1,Tmp) if(Norm(Ptstart(Tmp)-Ptend(Tmp))>Eps0){ @@ -4249,34 +4348,27 @@ V<- Mag/Norm(B-A)*(B-A) ## 10.12.04 from here ################################ -Listplot<-function(...) -{ +Listplot<-function(...){ varargin<-list(...); Z<-c(); - for (I in 1:length(varargin)) - { + for (I in 1:length(varargin)){ Data<-varargin[[I]]; - if(mode(Data)=="numeric") - { - if(class(Data)=="numeric") - { - Tmp<-matrix(Data,nrow=2); - Tmp<-t(Tmp); - Z<-Appendrow(Z,Tmp) + if(mode(Data)=="numeric"){ + if(class(Data)=="numeric"){ + Tmp<- matrix(Data,nrow=2); + Tmp<- t(Tmp); + Z<-Appendrow(Z,Unscaling(Tmp)) #181015 + }else{ + Z<-Appendrow(Z,Unscaling(Data)) #181015 } - else - Z<-Appendrow(Z,Data) - } - else - { - for (J in 1:length(Data)) - { + }else{ + for (J in 1:length(Data)){ Tmp<-Data[[J]]; - Z<-Appendrow(Z,Tmp) + Z<-Appendrow(Z,Unscaling(Tmp)) #181015 } } - } - return(Z) + } + return(Z) } ############################## @@ -5124,9 +5216,11 @@ Paramplot<- function(...) Nargs<- length(varargin) Fnflg<- 0 Fnstr<- varargin[[1]]; Is=2 - Fnstr=Assign(Fnstr) #180510(for KeTCindy) Rgstr<- varargin[[Is]]; Is<- Is+1 - Rgstr=Assign(Rgstr) #180510(for KeTCindy) + Tmp=strsplit(Rgstr,"=") #181017from + Var=Tmp[[1]][1] + Fnstr=Assign(Fnstr,Var,"t") + Rgstr=Assign(Rgstr,Var,"t") #181017from Range<- c(0,2*pi) N<- 50 # Numpoints E<-c() # Exclusions @@ -5156,7 +5250,7 @@ Paramplot<- function(...) Rng<- c(0,2*pi) } T1<- Rng[1]; T2<- Rng[2] - Dt<- (T2-T1)/N #17.09.22 + Dt<- (T2-T1) #180929 if(Fnflg==0) { Str<- gsub(Vname,"t",Fnstr) @@ -5176,9 +5270,8 @@ Paramplot<- function(...) Tmp<- sort(E) E<- E[length(Tmp):1] Ke<- 1 -# for (t in seq(T1, T2+Eps, by=Dt)){#18.02.05 for(jj in 1:(N+1)){ - t=T1+(jj-1)*Dt + t=T1+(jj-1)*Dt/N #180929 Pa<- c() if(t-E[Ke]< Eps) { @@ -5210,37 +5303,26 @@ Paramplot<- function(...) } Ke<-Ke+1 } - if(length(Pa)>0) - { - if(Pa[1]==Inf) - { + if(length(Pa)>0){ + if(Pa[1]==Inf){ Tmp<-Appendrow(P,Pa) P<-Tmp - } - else - { - if(Nrow(P)==0) - { + }else{ + if(Nrow(P)==0){ Tmp<- Appendrow(P,Pa) P<-Tmp - } - else - { + }else{ Tmp<- Op(Nrow(P),P) - if(Tmp[1]==Inf) - { + if(Tmp[1]==Inf){ Tmp<- Appendrow(P,Pa) P<- Tmp - } - else - { - if(Norm(Tmp-Pa)<D) - { - Tmp<-Appendrow(P,Pa) - P<-Tmp - } - else - { + }else{ + if(Norm(Tmp-Pa)<D){ + if(Norm(Tmp-Pa)>Eps){ #180928 + Tmp<-Appendrow(P,Pa) + P<-Tmp + } #180928 + }else{ Tmp<- Appendrow(P,c(Inf,Inf),Pa) P<- Tmp } @@ -5375,11 +5457,11 @@ Plotdata<- function(...) } } X1<- Rng[1]; X2<- Rng[2] - dx<- (X2-X1)/N # 17.09.22 + dx<- (X2-X1) #180929 if(Fnflg==0){ Str<- gsub(Vname,"x",Fnstr,fixed=TRUE) } - if(abs(dx)<Eps){ # Scilab 16.12.13 + if(abs(dx/N)<Eps){ #180929 x=X1 P=c(X1,eval(parse(text=Str))) return(P) @@ -5394,7 +5476,9 @@ Plotdata<- function(...) Tmp<- sort(E) E<- E[length(Tmp):1] Ke<- 1 - for (x in seq(X1,X2,by=dx)){ +# for (x in seq(X1,X2,by=dx)){ + for (J in 0:N){ #180929 + x=X1+dx*J/N #180929 if(nchar(Exfun)>0){ Tmp<-eval(parse(text=Exfun)) if(abs(Tmp)<Eps){ @@ -6587,21 +6671,14 @@ Setax<- function(...) { varargin<- list(...) Nargs<- length(varargin) - if(Nargs==0){ - if(ZIKU=="line"){ - Tmp<- "," - } - else{ - Tmp<- paste("(Arrowsize=", as.character(ARROWSIZE),"),",sep="") - } - Str<- paste(ZIKU,Tmp,XNAME,",",XPOS,",",sep="") + if(Nargs==0){ #180821(next 2 lines) + Str<- paste(ZIKU,",",XNAME,",",XPOS,",",sep="") Str<- paste(Str,YNAME,",",YPOS,",",ONAME,",",OPOS,sep="") return(Str) } ArgL<- c() - Is<- 1 Tmp<- varargin[[1]] - if(mode(Tmp)=="numeric" && length(Tmp)==1){ + if(is.numeric(Tmp)){ #180821 Is<- varargin[[1]] ArgL<- c() for (I in Looprange(1,Is-1)){ @@ -6611,50 +6688,18 @@ Setax<- function(...) ArgL<- c(ArgL,varargin[[I]]) } } - else{ - if(Nargs==1){ - ArgL<- c(varargin[[1]]) - } - else{ - Tmp<- varargin[[2]] - if(mode(Tmp)=="numeric" && length(Tmp)==1){ - ARROWSIZE<<-Tmp - ArgL<- c(varargin[[1]]) - for (I in Looprange(3,Nargs)){ - ArgL<- c(ArgL,varargin[[I]]) - } - } - else{ - ArgL<- c() - for (I in 1:Nargs){ - ArgL<- c(ArgL,varargin[[I]]) - } - } + else{ #180821from + for (I in Looprange(1,Nargs)){ + ArgL<- c(ArgL,varargin[[I]]) } } for (I in Looprange(length(ArgL)+1,7)){ ArgL<- c(ArgL,"") - } - Zk<- ArgL[1] - if(nchar(Zk)>0){ - ZL<-substr(Zk,2,nchar(Zk)) - Zk<-substr(Zk,1,1) - if(nchar(ZL)>0){ - ARROWSIZE<<- as.numeric(ZL) - } - } + } #180821to Xn<- ArgL[2]; Xp<- ArgL[3] Yn<- ArgL[4]; Yp<- ArgL[5] - Genn<- ArgL[6]; Genp<- ArgL[7] - if(nchar(Zk)>0){ - C<- Zk - if(C=="a"){ - ZIKU<<- "arrow" - } - else{ - ZIKU<<- "line" - } - } + On<- ArgL[6]; Op<- ArgL[7] + ZIKU<<- ArgL[1] #180821 if(nchar(Xn)>0){ XNAME<<- paste("$",Xn,"$",sep="") } @@ -6667,11 +6712,11 @@ Setax<- function(...) if(nchar(Yp)>0){ YPOS<<-Yp } - if(nchar(Genn)>0){ - ONAME<<- Genn + if(nchar(On)>0){ + ONAME<<- On } - if(nchar(Genp)>0){ - OPOS<<- Genp + if(nchar(Op)>0){ + OPOS<<- Op } Out<- ""; } @@ -6743,41 +6788,39 @@ Setorigin<- function(...) ################################ -Setscaling<- function(...) -{ +Setscaling<- function(...){ varargin<- list(...) Nargs<- length(varargin) - if(Nargs==0) - { - return(c(SCALEY,LOGX,LOGY)) + if(Nargs==0){ + return(c(SCALEX,SCALEY,LOGX,LOGY)) } - for (I in 1:Nargs) - { + Tmp=varargin[[1]] #181020from + if((Nargs==1)&&(is.numeric(Tmp))){ + SCALEY<<- Tmp + return(invisible(c(SCALEX,SCALEY,LOGX,LOGY))) + } + nCtr=1 #181020to + for (I in 1:Nargs){ Tmp<- varargin[[I]] - if(mode(Tmp)=="numeric") - { - SCALEY<<- Tmp + if(mode(Tmp)=="numeric"){ + if(nCtr==1)SCALEX<<- Tmp #181020(2llines) + if(nCtr==2)SCALEY<<- Tmp + nCtr=nCtr+1 } - if(mode(Tmp)=="character") - { - if(Tmp=="l") - { + if(mode(Tmp)=="character"){ + if(Tmp=="l"){ LOGX<<- 0 LOGY<<- 1 - } - else if(Tmp=="ll") - { + }else if(Tmp=="ll"){ LOGX<<- 1 LOGY<<- 1 - } - else - { + }else{ LOGX<<- 0 LOGY<<- 0 } } } - Tmp<- c(SCALEY,LOGX,LOGY); + Tmp<- c(SCALEX,SCALEY,LOGX,LOGY) } ######################################### @@ -7009,51 +7052,35 @@ Shade<- function(...) } } if(Iroflg==1){ - if(Wfile=="default") - cat(Str,"%\n",file="",append=TRUE,sep="") - else - cat(Str,"%\n",file=Wfile,append=TRUE,sep="") } } Tmp<- varargin[[1]] - Data<- Kyoukai(Tmp) - for (I in Looprange(1, length(Data))){ +# Data<- Kyoukai(Tmp) + Data= Joincrvs(Tmp) #180929from + Data=list(Data) #180929to + for (I in Looprange(1, Length(Data))){ #180621 PL<- Op(I,Data) + PL=Appendrow(PL,Op(1,PL)) #180929 Mojisu<- 0 - for (J in 1:Nrow(PL)){ + for (J in Looprange(1,Length(PL))){ P<- Doscaling(Op(J,PL)) X<- as.character(round(MilliIn*P[1])) Y<- as.character(-round(MilliIn*P[2])) Str<- paste("\\special{pa ",X," ",Y,"}",sep="") - if(Wfile=="default") - cat(Str,file="",append=TRUE,sep="") - else - cat(Str,file=Wfile,append=TRUE,sep="") + cat(Str,file=Wfile,append=TRUE,sep="") Mojisu<- Mojisu+nchar(Str) if(Mojisu>80){ - if(Wfile=="default") - cat("%\n",file="",append=TRUE,sep="") - else - cat("%\n",file=Wfile,append=TRUE,sep="") + cat("%\n",file=Wfile,append=TRUE,sep="") Mojisu<- 0 } } Str1<- paste("\\special{sh ",as.character(Kosa),"}",sep="") Str2<- paste("\\special{ip}%\n",sep="") - if(Wfile=="default"){ - cat(Str1,file="",append=TRUE,sep="") - cat(Str2,file="",append=TRUE,sep="") - } - else{ - cat(Str1,file=Wfile,append=TRUE,sep="") - cat(Str2,file=Wfile,append=TRUE,sep="") - } + cat(Str1,file=Wfile,append=TRUE,sep="") + cat(Str2,file=Wfile,append=TRUE,sep="") } if(Iroflg==1){ - if(Wfile=="default") - cat("}%\n",file="",append=TRUE,sep="") - else - cat("}%\n",file=Wfile,append=TRUE,sep="") + cat("}%\n",file=Wfile,append=TRUE,sep="") } } @@ -9752,6 +9779,142 @@ Projpers<- function(...){ } ######################################### +# 180807 + +Reflect3data<- function(...){ + varargin<-list(...) + Nargs<- length(varargin) + Pd3<- varargin[[1]] + VL<- varargin[[2]] + if(Mixtype(Pd3)==1){ + Pd3<- list(Pd3) + } else if(Mixtype(Pd3)==3){ + Tmp<- list() + for (I in Looprange(1,Length(Pd3))){ + Tmp<- c(Tmp,Op(I,Pd3)) + } + Pd3<- Tmp + } + Out<- list() + for (I in Looprange(1,Length(Pd3))){ + PD<- Op(I,Pd3) + Ans<- c() + for (J in Looprange(1,Nrow(PD))){ + if(is.matrix(PD)){ + P<- PD[J,] + } + else{ + P<- PD + } + Tmp<- Reflect3pt(P,VL) + Ans<- rbind(Ans,Tmp) + } + rownames(Ans)<- 1:Nrow(Ans) + Out<- c(Out,list(Ans)) + } + if(Length(Out)==1){ + Out<- Op(1,Out) + } + return(Out) +} + +####################################### + +Reflect3pt<- function(...){ + varargin<-list(...) + Nargs<-length(varargin) + P<- varargin[[1]] + VL<- varargin[[2]] + if(Length(VL)==1){ + Ans=2*Op(1,VL)-P + } + if(Length(VL)==2){ + V1=Op(1,VL) + V2=Op(2,VL) + V3=(V2-V1)/Norm(V2-V1) + Tmp=V1+Dotprod(P-V1,V3)*V3 + Ans=2*Tmp-P + } + if(Length(VL)==3){ + V1=Op(1,VL) + V2=Op(2,VL) + V3=Op(3,VL) + Tmp=Crossprod(V2-V1,V3-V1) + Tmp1=P-Dotprod(Tmp, P-V1)/Norm(Tmp)^2*Tmp + Ans=2*Tmp1-P + } + return(Ans) +} + +######################################### +# 180807 + +Scale3data<- function(...){ + varargin<-list(...) + Nargs<- length(varargin) + Pd3<- varargin[[1]] + R<- varargin[[2]] + C<- varargin[[3]] + C<- c(0,0,0) + if(Nargs>=3){ + C<- varargin[[3]] + } + if(Mixtype(Pd3)==1){ + Pd3<- list(Pd3) + } else if(Mixtype(Pd3)==3){ + Tmp<- list() + for (I in Looprange(1,Length(Pd3))){ + Tmp<- c(Tmp,Op(I,Pd3)) + } + Pd3<- Tmp + } + Out<- list() + for (I in Looprange(1,Length(Pd3))){ + PD<- Op(I,Pd3) + Ans<- c() + for (J in Looprange(1,Nrow(PD))){ + if(is.matrix(PD)){ + P<- PD[J,] + } + else{ + P<- PD + } + Tmp<- Scale3pt(P,R,C) + Ans<- rbind(Ans,Tmp) + } + rownames(Ans)<- 1:Nrow(Ans) + Out<- c(Out,list(Ans)) + } + if(Length(Out)==1){ + Out<- Op(1,Out) + } + return(Out) +} + +####################################### + +Scale3pt<- function(...){ + varargin<-list(...) + Nargs<-length(varargin) + P<- varargin[[1]] + R<- varargin[[2]] + if(length(R)==1){ #180808from + R=c(R,R,R) + } #180808to + C<- c(0,0,0) + if(Nargs>=3){ + C<- varargin[[3]] + } + X1=P[1]; Y1=P[2]; Z1=P[3] + Cx=C[1]; Cy=C[2]; Cz=C[3] + X2=Cx+R[1]*(X1-Cx) + Y2=Cy+R[2]*(Y1-Cy) + Z2=Cz+R[3]*(Z1-Cz) + Ans=c(X2,Y2,Z2) + return(Ans) +} + +######################################### # 11.08.27 # 14.03.23 Debugged "center" @@ -9785,7 +9948,7 @@ Rotate3data<- function(...){ } else{ P<- PD - } + } Tmp<- Rotate3pt(P,W1,W2,C) # 14.03.23 Ans<- rbind(Ans,Tmp) } # 11.08.27 @@ -9886,6 +10049,45 @@ Rotate3pt<- function(...){ return(Ans) } +################################# + +Translate3data<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + Pd3<- varargin[[1]] + Mv<- varargin[[2]] + if(mode(Mv)=="numerice" && length(Mv)==1){ + Mv<- c(varargin[[2]],varargin[[3]],varargin[[4]]) + } + if(Mixtype(Pd3)==1){ + Pd3<- list(Pd3) + } + else if(Mixtype(Pd3)==3){ + Tmp<-list() + for(I in Looprange(1,Mixlength(Pd3))){ + Tmp<- c(Tmp, Op(I,Pd3)) + } + Pd3<- Tmp + } + Out<- list() + for(I in Looprange(1,Mixlength(Pd3))){ + PD<- Op(I,Pd3) + PD<- rbind(c(),PD) + Ans<- c() + for(J in Looprange(1,Nrow(PD))){ + P<- PD[J,] + Tmp<- P+Mv + Ans<- rbind(Ans,Tmp) + } + rownames(Ans)<- 1:Nrow(Ans) + Out<- c(Out,list(Ans)) + } + if(Mixlength(Out)==1){ + Out<- Op(1,Out) + } + return(Out) +} + ###################################### Setangle<- function(...){ @@ -10198,11 +10400,11 @@ Spacecurve<- function(...){ Rng<- c(XMIN,XMAX) } T1<- Rng[1]; T2<- Rng[2] - Dt<- (T2-T1)/N #17.09.22 + Dt<- (T2-T1) #180929 Str<- gsub(Vname,"t",Fnstr) Str=gsub("[","c(",Str,fixed=TRUE) #17.12.22(2lines) Str=gsub("]",")",Str,fixed=TRUE) - if(abs(Dt)<Eps){ # 16.12.13 + if(abs(Dt/N)<Eps){ #180929 t=T1 P=eval(parse(text=Str)) return(P) @@ -10213,7 +10415,7 @@ Spacecurve<- function(...){ E<- sort(E,decreasing=FALSE) Ke<- 1 for(jj in 1:(N+1)){ - t=T1+(jj-1)*Dt + t=T1+(jj-1)*Dt/N #180929 Pa<- c() if(t-E[Ke]< Eps){ Pa<- eval(parse(text=Str)) @@ -10284,45 +10486,6 @@ Spaceline<- function(...){ return(Z) } -################################# - -Translate3data<- function(...){ - varargin<- list(...) - Nargs<- length(varargin) - Pd3<- varargin[[1]] - Mv<- varargin[[2]] - if(mode(Mv)=="numerice" && length(Mv)==1){ - Mv<- c(varargin[[2]],varargin[[3]],varargin[[4]]) - } - if(Mixtype(Pd3)==1){ - Pd3<- list(Pd3) - } - else if(Mixtype(Pd3)==3){ - Tmp<-list() - for(I in Looprange(1,Mixlength(Pd3))){ - Tmp<- c(Tmp, Op(I,Pd3)) - } - Pd3<- Tmp - } - Out<- list() - for(I in Looprange(1,Mixlength(Pd3))){ - PD<- Op(I,Pd3) - PD<- rbind(c(),PD) - Ans<- c() - for(J in Looprange(1,Nrow(PD))){ - P<- PD[J,] - Tmp<- P+Mv - Ans<- rbind(Ans,Tmp) - } - rownames(Ans)<- 1:Nrow(Ans) - Out<- c(Out,list(Ans)) - } - if(Mixlength(Out)==1){ - Out<- Op(1,Out) - } - return(Out) -} - ############################################### Xyzax3data<- function(Xrange,Yrange,Zrange){ @@ -11490,17 +11653,17 @@ Implicitplot<- function(...){ #180402 Rngy=eval(parse(text=Tmp[2])) Tmp=paste("Impfun<- function(",Varx,",",Vary,"){",Fn,"}",sep="") eval(parse(text=Tmp)) - dx=(Rngx[2]-Rngx[1])/Mdv - dy=(Rngy[2]-Rngy[1])/Ndv + dx=(Rngx[2]-Rngx[1]) #180929 + dy=(Rngy[2]-Rngy[1]) #180929 out=list() for(jj in 1:Ndv){ - yval1=Rngy[1]+(jj-1)*dy - yval2=Rngy[1]+jj*dy + yval1=Rngy[1]+(jj-1)*dy/Ndv #180929 + yval2=Rngy[1]+jj*dy/Ndv #180929 xval1=Rngx[1] eval11=Impfun(xval1,yval1) eval12=Impfun(xval1,yval2) for(ii in 1:Mdv){ - xval2=Rngx[1]+ii*dx + xval2=Rngx[1]+ii*dx/Mdv #180929 eval21=Impfun(xval2,yval1) eval22=Impfun(xval2,yval2) pL=list(c(xval1,yval1));vL=c(eval11) @@ -12135,18 +12298,18 @@ Objcurve<- function(...){ if(Nargs>=3){ Np=Args[[3]] } - Assign("Sz",Sz) +# Assignadd("Sz",Sz) #180901 if(Pstr=="xy"){ Vz=c(0,0,1) - Fs=Assign("c(Sz*cos(t),Sz*sin(t),0)") + Fs=Assign("c(Sz*cos(t),Sz*sin(t),0)","Sz",Sz) #180901 } if(Pstr=="yz"){ Vz=c(1,0,0) - Fs=Assign("c(0,Sz*cos(t),Sz*sin(t))") + Fs=Assign("c(0,Sz*cos(t),Sz*sin(t))","Sz",Sz) #180901 } if(Pstr=="zx"){ Vz=c(0,1,0) - Fs=Assign("c(Sz*sin(t),0,Sz*cos(t))") + Fs=Assign("c(Sz*sin(t),0,Sz*cos(t))","Sz",Sz) #180901 } Gc0=Spacecurve(Fs,"t=c(0,2*pi)",paste("Num=",as.character(Np),sep="")) P=PL[[1]]; Q=PL[[2]]; R=PL[[length(PL)-1]] @@ -12218,7 +12381,7 @@ Objcurve<- function(...){ } Objsymb<- function(Symb,Thick,Face,Dir){ - for(J in Looprange(1,length(Symb))){ + for(J in Looprange(1,Length(Symb))){ Objcurve(Op(J,Symb),Thick,Face,Dir) } } @@ -12750,6 +12913,7 @@ Enclosing2<- function(...){ Nargs=length(varargin) plist=varargin[[1]] Eps0=10^(-5) + epspara=1; #180707 Eps1=0.01 Eps2=0.1 Start=c() @@ -12757,10 +12921,11 @@ Enclosing2<- function(...){ for(ii in Looprange(2,Nargs)){ tmp=varargin[[ii]] if(length(tmp)>1){ -# Start=tmp + Start=tmp }else{ - if(flg==0){Eps1=tmp} - if(flg==1){Eps2=tmp} + if(flg==0){epspara=tmp} + if(flg==1){Eps1=tmp} + if(flg==2){Eps2=tmp} flg=flg+1 } } @@ -12788,41 +12953,46 @@ Enclosing2<- function(...){ plist=c(plist,list(tmp)) Start=tmp2 tst=1 -# flg=1 }else{ if(length(KL)==1){ tmp=Op(1,KL) tst=Op(2,tmp) - Start=crv(tst,Fdata) + Start=Op(1,tmp) #180706 } if(length(KL)>1){ - KL=Quicksort(KL,2) + KL=Quicksort(KL,2) #180706from if(length(Start)==0){ tmp=Op(1,KL) tst=Op(2,tmp) - Start=Pointoncurve(tst,Fdata) + Start=Op(1,tmp) }else{ tmp=c() - for(ii in Looprange(1,length(KL))){ - tmp=c(tmp,Norm(Op(1,KL[[ii]]-Start))) - } - tmp=min(tmp) tmp1=list() for(ii in Looprange(1,length(KL))){ tmp2=Op(1,KL[[ii]]) - if(Norm(tmp2-Start)==tmp){ - tmp1=c(tmp1,list(tmp2)) + flgsame=0 #180717from + for(jj in Looprange(1,length(tmp1))){ + if(Norm(tmp2-Op(jj,tmp1))<Eps1){ + flgsame=1 + break + } } + if(flgsame==0){ + tmp=c(tmp,Norm(Op(1,KL[[ii]])-Start)) + tmp1=c(tmp1,list(tmp2)) + } #180717to } - tmp=Op(1,tmp1) + tmp=order(tmp) + tmp=Op(tmp[1],KL) tst=Op(2,tmp) - Start=Pointoncurve(tst,Fdata) + Start=Op(1,tmp)#180706to } } } } if(flg==0){ t1=tst + p1=Pointoncurve(t1,Fdata)#180713 for(nn in Looprange(1,length(plist))){ Fdata=Op(nn,plist) if(nn==length(plist)){ @@ -12837,19 +13007,42 @@ Enclosing2<- function(...){ Gdata=Appendrow(tmp,Gdata) plist[[nxtno]]=Gdata t2=Length(Fdata) - ss=1 #18.02.02until + ss=1 #18.02.02to }else{ - tmp=Op(1,KL) - t2=Op(2,tmp) - ss=Op(3,tmp) +# KL=Quicksort(KL,2); #180706from +# for(j in Looprange(1,length(KL))){ +# tmp1=t1+epspara/50*Length(Fdata)#180713(2lines) +# tmp2=Op(2,KL[[j]]) +# if((tmp2>tmp1)||((tmp2>t1)&&(Norm(Op(3,KL[[j]])-p1)>Eps1))){ +# break +# } #180711,16 +# } +# t2=Op(2,KL[[j]]) +# p2=Pointoncurve(t2,Fdata)#180713 +# ss=Op(3,KL[[j]])# 180706to + tmp=c() #180711from + for(j in Looprange(1,length(KL))){ + tmp=c(tmp,Op(2,KL[[j]])) + } + tmp1=order(tmp) + tmp2=KL + KL=list() + for(j in tmp1){ + tmp=tmp2[[j]] + tmp3=t1+epspara/50*Length(Fdata) + tmp4=Op(2,tmp) + if((tmp4>tmp3)||((tmp4>t1)&&(Norm(Op(1,tmp)-p1)>Eps1))){ + KL=c(KL,list(tmp)) + } + } + t2=Op(2,KL[[1]]) + ss=Op(3,KL[[1]]) #180711from if(abs(t2-t1)<Eps0){ if(length(KL)>1){ tmp=Op(2,KL) t2=Op(2,tmp) ss=Op(3,tmp) }else{ -# println(text(nn)+" and "+text(nn+1)+" not intersect"); -# flg=1 } } } @@ -12861,8 +13054,9 @@ Enclosing2<- function(...){ tmp=tmp[2:Length(tmp),] AnsL=Appendrow(AnsL,tmp) } - t1=ss } + t1=ss + p1=Pointoncurve(t1,Gdata)#180713 } } return(AnsL) @@ -13713,10 +13907,14 @@ Nohiddenpara2<- function (Par,Fk,Uveq,Np,Eps1,Eps2){ FigkL=c(FigkL,list(Fk)) } } - Tmp=c() - for(I in Looprange(1,length(PaL)-1)){ - if(!Member(I,SeL)){ - Tmp=c(Tmp,I) + if(length(SeL)==0){#181024from + Tmp=Looprange(1,length(PaL)-1) + }else{ #181024to + Tmp=c() + for(I in Looprange(1,length(PaL)-1)){ + if(!Member(I,SeL)){ + Tmp=c(Tmp,I) + } } } SeL=Tmp @@ -14377,7 +14575,7 @@ Wireparadata<- function(...){ if(ctr==2){Eps2=tmp} } } - if(length(DuL)==1){ #180430 + if(!is.list(DuL)){ #181024 tmp1=DuL DuL=list() for(jj in Looprange(1,tmp1)){ @@ -14385,7 +14583,7 @@ Wireparadata<- function(...){ DuL=c(DuL,list(tmp)) } } - if(length(DvL)==1){ #180430 + if(!is.list(DvL)){ #181024 tmp1=DvL DvL=list() for(jj in Looprange(1,tmp1)){ diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketpiccurrent_rep2e.r b/Master/texmf-dist/scripts/ketcindy/ketlib/ketpiccurrent_rep2e.r index 370339480ae..bce6137fea1 100755 --- a/Master/texmf-dist/scripts/ketcindy/ketlib/ketpiccurrent_rep2e.r +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketpiccurrent_rep2e.r @@ -16,12 +16,16 @@ ######################################### -ThisVersion<- "2ev5_2_3(17.10.28)" +ThisVersion<- "2ev5_2_4(180930)" +# 20180930 +# Drwpt debugged ( the last newline added) +# 20180929 +# Shade changed (Kyoukai => Joincrvs) # 2017.10.28 # Drwpt debugged ( Flattenlist ) # 2017.10.07 -# +# Dottedline,Drwline,Drwpt,Makehasen,Beginpicture,Setpen,Shade ############################################# @@ -286,34 +290,9 @@ Drwpt<-function(...) Fmt=paste(Str,'\n',sep="") } cat(Str,file=Wfile,append=TRUE) + cat("\n",file=Wfile,append=TRUE) #180930 } -# PL<-c() -# for (J in 0:N){ -# PL<- c(PL,P+CL[J+1,]) -# } -# PL<-matrix(PL,nrow=2) -# PL<-t(PL) -# Mojisu<-0 -# for (J in 1:Nrow(PL)){ -# Q<- PL[J,] -# X<- as.character(round(MilliIn*Q[1])) -# Y<- as.character(-round(MilliIn*Q[2])) -# Str<- paste("\\special{pa ",X," ",Y,"}",sep="") -# cat(Str,file=Wfile,append=TRUE) -# Mojisu<- Mojisu+nchar(Str) -# if (Mojisu>80){ -# cat("#\n",file=Wfile,append=TRUE) -# } -# Mojisu=0 -# } -# Str1<- paste("\\special{sh ",as.character(Kosa),"}",sep="") -# Str2<- "\\special{fp}%\n" -# cat(Str1,file=Wfile,append=TRUE) -# cat(Str2,file=Wfile,append=TRUE) -# } -# } -#} ###################################### @@ -546,9 +525,12 @@ Shade<- function(...) } Mojisu=0 Tmp=varargin[[1]] - Data=Kyoukai(Tmp) +# Data=Kyoukai(Tmp) + Data= Joincrvs(Tmp) #180929from + Data=list(Data) #180929to for (I in Looprange(1, length(Data))){ PL<- Op(I,Data) + PL=Appendrow(PL,Op(1,PL)) #180929 Mojisu<- 0 for (J in 1:Nrow(PL)){ P<- Doscaling(Op(J,PL)) diff --git a/Master/texmf-dist/scripts/ketcindy/ketlibC/ketcommon.h b/Master/texmf-dist/scripts/ketcindy/ketlibC/ketcommon.h index 84de58498f3..7c0425cc64d 100644 --- a/Master/texmf-dist/scripts/ketcindy/ketlibC/ketcommon.h +++ b/Master/texmf-dist/scripts/ketcindy/ketlibC/ketcommon.h @@ -1,3 +1,4 @@ +//20181024 memberi debugged (for null list ) //20180308 norm added int length1(double gdata[]){ @@ -817,6 +818,7 @@ void simplesort(double number[]){ int memberi(int a, int list[]){ int i, n=list[0]; + if(n==0){return 0;} //181024 for(i=1; i<=n; i++){ if(a==list[i]){ return 1; diff --git a/Master/texmf-dist/scripts/ketcindy/ketlibC/ketlibClog.txt b/Master/texmf-dist/scripts/ketcindy/ketlibC/ketlibClog.txt index 414cc1e0346..40f68d593ab 100644 --- a/Master/texmf-dist/scripts/ketcindy/ketlibC/ketlibClog.txt +++ b/Master/texmf-dist/scripts/ketcindy/ketlibC/ketlibClog.txt @@ -1,3 +1,10 @@ +180705 + nohiddenparadata2 debugged (|sp-sq}>1) +180703 + nohiddenparadata2 debugged (for closed curve) +180616 + nohiddenparadata2 debugged (rewritten a part ) + output3h debugged (case where din1[0][0]==1) 180613 connectseg,connectseg3 changed ( for null data ) output3h debugged (case where din1[0][0]==1) diff --git a/Master/texmf-dist/scripts/ketcindy/ketlibC/surflib.h b/Master/texmf-dist/scripts/ketcindy/ketlibC/surflib.h index 7f5d9923c9a..d502a2b15c3 100644 --- a/Master/texmf-dist/scripts/ketcindy/ketlibC/surflib.h +++ b/Master/texmf-dist/scripts/ketcindy/ketlibC/surflib.h @@ -1,3 +1,7 @@ +// 181025 +// crv3onsfparadata debugged (case of out=NULL ) +// 181023 +// pthiddenQ changed ( int flg, double out[4] ) // 180430 // crv2sfparadata,wireparadata added // output3h,output3 chanded @@ -626,10 +630,10 @@ double funpthiddenQ(short ch,double u, double v,double pa[3]){ return out; } -double pthiddenQ(short ch,double pta[3], int uveq){ +int pthiddenQ(short ch,double pta[3], int uveq,double out[4]){ int i, j, k; double Vec[3]={sin(THETA)*cos(PHI),sin(THETA)*sin(PHI),cos(THETA)}; - double v1,v2,v3,out=-Inf; + double v1,v2,v3; double du=(Urng[1]-Urng[0])/Mdv, dv=(Vrng[1]-Vrng[0])/Ndv; double uval1,uval2,vval1,vval2,eval11,eval12,eval21,eval22; double pl[5][2], vl[5], ql[11][2],p1[2],p2[2],m1,m2; @@ -637,6 +641,7 @@ double pthiddenQ(short ch,double pta[3], int uveq){ double tmpd1, tmpd2[2],tmpd3[3],tmp1d3[3]; // Out=1 : hidden // SL : List of segments near PtA+Vec + out[3]=-Inf; for(j=0; j<=Ndv-1; j++){ vval1=Vrng[0]+j*dv; vval2=Vrng[0]+(j+1)*dv; @@ -718,23 +723,27 @@ double pthiddenQ(short ch,double pta[3], int uveq){ if(norm(3,tmp1d3)<Eps1){ tmpd1=zparapt(ptd3)-zparapt(pta)-Eps2; if(tmpd1>0){ - return tmpd1; + copyd(0,2,ptd3,out); out[3]=tmpd1; + return 1; }else{ - out=fmax(out,tmpd1); + if(tmpd1>out[3]){ + copyd(0,2,ptd3,out); out[3]=tmpd1; + } } } } } } - return out; + return 0; } int nohiddenpara2(short ch,double par[], double fk[][3], int uveq, double figkL[][3]){ double eps0=pow(10,-4.0), s, p1[2], p2[2], q[2],tmpd1, tmpd2[2],tmp1,tmp2; - double paL[DsizeM], fh[DsizeM][2], pta[3], ptap[2], vec[3],flgd; + double paL[DsizeM], fh[DsizeM][2], pta[3], ptap[2], vec[3]; double figL[DsizeM][2], tmpmd2[DsizeM][2], tmpmd3[DsizeM][3]; double tmp1d2[2], tmp2d2[2], tmp3d2[2], tmpd3[3],tmpd4[4]; double pd2[2], qd2[2], pd3[3], qd3[3], sp, sq, tp, tq, dtmp, dtmp1, dtmp2; + int flg; int ncusp=floor(Cusppt[0][0]+0.5), seL[DsizeM]; int i,j,n, nfh, nfk, cspflg,tmpi1[DsizeM]; vec[0]=sin(THETA)*cos(PHI); @@ -787,41 +796,17 @@ int nohiddenpara2(short ch,double par[], double fk[][3], int uveq, double figkL[ s=(paL[n]+paL[n+1])/2.0; invparapt(s,fh,fk, pta); parapt(pta,ptap); - flgd=pthiddenQ(ch,pta, uveq); - if(flgd<=0){ //180518 + flg=pthiddenQ(ch,pta, uveq, tmpd4); + if(flg==0){ //180518 appendi1(n,seL); } } figL[0][0]=0;figkL[0][0]=0; for(i=1; i<=seL[0]; i++){ - pointoncurve(paL[seL[i]], fh, Eps, tmp1d2); - pointoncurve(paL[seL[i]+1], fh, Eps, tmp2d2); - if(i==1){ - copyd(0,1,tmp1d2,pd2); - sp=paL[seL[i]]; - copyd(0,1,tmp2d2,qd2); - sq=paL[seL[i]+1]; - } - else{ - if(memberi(seL[i]-1,seL)==1){ - copyd(0,1,tmp2d2,qd2); - sq=paL[seL[i]+1]; - } - else{ - partcrv(sp,sq,fh,tmpmd2); - appendd2(2,1,length2(tmpmd2),tmpmd2,figL); - tp=invparapt(sp,fh,fk, tmpd3); - tq=invparapt(sq,fh,fk,tmpd3); - partcrv3(tp,tq,fk,tmpmd3); - appendd3(2,1,length3(tmpmd3),tmpmd3,figkL); - copyd(0,1,tmp1d2,pd2); - sp=paL[seL[i]]; - copyd(0,1,tmp2d2,qd2); - sq=paL[seL[i]+1]; - } - } - } - if(seL[0]>0){ + sp=paL[seL[i]]; //180616from + sq=paL[seL[i]+1]; + pointoncurve(sp, fh, Eps, pd2); + pointoncurve(sq, fh, Eps, qd2); if(dist(2,pd2,qd2)>Eps1){ nearestptpt(pd2,fh,tmpd4); dtmp1=tmpd4[2]; @@ -833,11 +818,13 @@ int nohiddenpara2(short ch,double par[], double fk[][3], int uveq, double figkL[ tq=invparapt(sq,fh,fk,tmpd3); partcrv3(tp,tq,fk,tmpmd3); appendd3(2,1,length3(tmpmd3), tmpmd3, figkL); - } - else{ - appendd2(2,1,nfh, fh, figL); - appendd3(2,1,nfk,fk,figkL); - } + }//180616to + else{//180705from + if(fabs(sp-sq)>1){ + appendd2(2,1,length2(fh),fh,figL); + appendd3(2,1,length3(fk),fk,figkL); + } + }//180705to } tmpi1[0]=0; for(i=1; i<=length1(paL)-1; i++){ @@ -1338,7 +1325,7 @@ void crv3onsfparadata(short ch,double fk[][3], double fbdyd3[][3], double out[][ dataindexd2(2,fh,din); for(i=1;i<=din[0][0];i++){ fhs[0][0]=0; fks[0][0]=0; - appendd2(0,din[i][0],din[i][1],fh,fhs); + appendd2(0,din[i][0],din[i][1],fh,fhs); appendd3(0,din[i][0],din[i][1],fk,fks); tmpmd3[0][0]=0; if(length2(fhs)>1){ @@ -1353,8 +1340,9 @@ void crv3onsfparadata(short ch,double fk[][3], double fbdyd3[][3], double out[][ connectseg3(out, Eps1,tmpmd3); out[0][0]=0; appendd3(0,1,length3(tmpmd3),tmpmd3,out); + push3(Inf,3,0,out); //181025 connectseg3(outh, Eps1,tmpmd3); - appendd3(3,1,length3(tmpmd3),tmpmd3,out); + appendd3(0,1,length3(tmpmd3),tmpmd3,out);//181025 } void crv2onsfparadata(short ch,double fh[][2], double fbdyd3[][3], double out[][3]){ @@ -1368,9 +1356,9 @@ void wireparadata(short ch,double bdyk[][3], double udata[], double vdata[],cons double du=(Urng[1]-Urng[0])/Mdv; double dv=(Vrng[1]-Vrng[0])/Ndv; int i,j,din[DsizeS][2]; - short allflg=0; - if(strlen(fnameh)==0){ - allflg=1; + short allflg=1; + if(strlen(fnameh)>0){ + allflg=0; } char var[20]="wire3d"; char varh[20]="wireh3d"; diff --git a/Master/texmf-dist/scripts/ketcindy/ketlibC/surflibhead.h b/Master/texmf-dist/scripts/ketcindy/ketlibC/surflibhead.h index 0adc7779221..cc10b300d7b 100644 --- a/Master/texmf-dist/scripts/ketcindy/ketlibC/surflibhead.h +++ b/Master/texmf-dist/scripts/ketcindy/ketlibC/surflibhead.h @@ -35,7 +35,7 @@ int cuspsplitpara(short ch,double pdata[][2], double outkL[][3]); int makexybdy(short ch,double ehL[][2]); void partitionseg(double fig[][2],double gL[][2], int ns, double parL[]); double funpthiddenQ(short ch,double u, double v,double pa[3]); -double pthiddenQ(short ch,double pta[3], int uveq); +int pthiddenQ(short ch,double pta[3], int uveq,double out[4]); int nohiddenpara2(short ch,double paL[], double fk[][3], int uveq, double figkL[][3]); void borderparadata(short ch,double fkL[][3], double fsL[][3]); int dropnumlistcrv3(double qd[][3], double eps1, int out[]); diff --git a/Master/texmf-dist/scripts/ketcindy/ketoutset.txt b/Master/texmf-dist/scripts/ketcindy/ketoutset.txt index 0b42ee4f6bb..5fb93561f50 100644 --- a/Master/texmf-dist/scripts/ketcindy/ketoutset.txt +++ b/Master/texmf-dist/scripts/ketcindy/ketoutset.txt @@ -37,12 +37,6 @@ if(islinux(), PathAd="acroread"; ); -if(iswindows(), //180420from - Changesetting([gethome(), gethome()+"\Desktop","C:"]); -, - Changesetting([gethome(),gethome()+"/Desktop"]); -);//180420to - if(indexof(PathT,"platex")>0, Helplist(["+","+3d","+mv"],"helpJ"); , diff --git a/Master/texmf-dist/scripts/ketcindy/template0.cdy b/Master/texmf-dist/scripts/ketcindy/template0.cdy Binary files differnew file mode 100644 index 00000000000..acf42570a94 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/template0.cdy diff --git a/Master/texmf-dist/scripts/ketcindy/template1basic.cdy b/Master/texmf-dist/scripts/ketcindy/template1basic.cdy Binary files differindex c4cae01defe..c2ab317098d 100644 --- a/Master/texmf-dist/scripts/ketcindy/template1basic.cdy +++ b/Master/texmf-dist/scripts/ketcindy/template1basic.cdy diff --git a/Master/texmf-dist/scripts/ketcindy/template2advanced.cdy b/Master/texmf-dist/scripts/ketcindy/template2advanced.cdy Binary files differdeleted file mode 100644 index 2a5443784f5..00000000000 --- a/Master/texmf-dist/scripts/ketcindy/template2advanced.cdy +++ /dev/null diff --git a/Master/texmf-dist/scripts/ketcindy/template2slide.cdy b/Master/texmf-dist/scripts/ketcindy/template2slide.cdy Binary files differnew file mode 100644 index 00000000000..7e287d9f3b0 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/template2slide.cdy diff --git a/Master/texmf-dist/scripts/ketcindy/template3Dfigure.cdy b/Master/texmf-dist/scripts/ketcindy/template3Dfigure.cdy Binary files differnew file mode 100644 index 00000000000..35f5fdf3b74 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/template3Dfigure.cdy diff --git a/Master/texmf-dist/tex/latex/ketcindy/ketslide.sty b/Master/texmf-dist/tex/latex/ketcindy/ketslide.sty index b8ec630beaf..a6087747c35 100644 --- a/Master/texmf-dist/tex/latex/ketcindy/ketslide.sty +++ b/Master/texmf-dist/tex/latex/ketcindy/ketslide.sty @@ -20,11 +20,11 @@ %\special{papersize=297mm,210mm}% \mag=2000% \newcommand{\ketmarginJ}{% -\setmargin{25}{150}{15}{110}% +\setmargin{20}{150}{15}{100}%180701 % }% \newcommand{\ketmarginE}{% -\setmargin{25}{135}{15}{115}% +\setmargin{20}{135}{15}{100}%180701 % }% \newcommand{\ketslideinit}{% |
