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Diffstat (limited to 'Master/texmf-dist/tex/latex')
| -rw-r--r-- | Master/texmf-dist/tex/latex/xpicture/xpicture.sty | 1256 |
1 files changed, 1256 insertions, 0 deletions
diff --git a/Master/texmf-dist/tex/latex/xpicture/xpicture.sty b/Master/texmf-dist/tex/latex/xpicture/xpicture.sty new file mode 100644 index 00000000000..0676c93eadf --- /dev/null +++ b/Master/texmf-dist/tex/latex/xpicture/xpicture.sty @@ -0,0 +1,1256 @@ +%% +%% This is file `xpicture.sty', +%% generated with the docstrip utility. +%% +%% The original source files were: +%% +%% xpicture.dtx (with options: `xpicture,defaults') +%% ******************************************************************** +%% The xpicture package +%% Copyright (C) 2010, 2011, 2012 by Robert Fuster <rfuster@mat.upv.es> +%% All rights reserved +%% +%% This file may be distributed and/or modified under the +%% conditions of the LaTeX Project Public License, either version 1.3c +%% of this license or (at your option) any later version. +%% The latest version of this license is in +%% +%% http://www.latex-project.org/lppl.txt +%% +%% and version 1.3c or later is part of all distributions of LaTeX +%% version 2005/12/01 or later. +%% ******************************************************************** +%% \CharacterTable +%% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z +%% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z +%% Digits \0\1\2\3\4\5\6\7\8\9 +%% Exclamation \! Double quote \" Hash (number) \# +%% Dollar \$ Percent \% Ampersand \& +%% Acute accent \' Left paren \( Right paren \) +%% Asterisk \* Plus \+ Comma \, +%% Minus \- Point \. Solidus \/ +%% Colon \: Semicolon \; Less than \< +%% Equals \= Greater than \> Question mark \? +%% Commercial at \@ Left bracket \[ Backslash \\ +%% Right bracket \] Circumflex \^ Underscore \_ +%% Grave accent \` Left brace \{ Vertical bar \| +%% Right brace \} Tilde \~} + + +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{xpicture}[2012/12/17 v.1.2a picture environment extensions] +\newif\ifdraft\draftfalse +\DeclareOption{draft}{\drafttrue} +\DeclareOption*{% + \PassOptionsToPackage{\CurrentOption}{curve2e} + \PassOptionsToPackage{\CurrentOption}{xcolor}} +\ProcessOptions +\newif\ifpolar\polarfalse +\newif\ifrputstar\rputstarfalse +\newif\ifdegrees\degreesfalse +\newif\iftics\ticstrue +\newif\iflabels\labelstrue +\newif\ifgrid\gridfalse +\newif\ifticslabelsgrid\ticslabelsgridfalse +\newif\ifinzeroaxes\inzeroaxestrue +\newif\ifbg\bgfalse +\RequirePackage{curve2e} +\RequirePackage{xcolor} +\RequirePackage{calculus} +\def\xpct@Warnbadpos{% + \PackageWarning{xpicture}% + {Argument in \noexpand\defaultPut command must be either + 'c' or 'r'\MessageBreak + I will no change the default position for + \noexpand\Put commands}} +\def\xpct@Infopos#1{% + \PackageInfo{xpicture}% + {Default position for \noexpand\Put commands changed to #1}} +\def\xpct@WarnIncSys(#1,#2)(#3,#4){% + \PackageWarning{xpicture}{% + Incompatible linear system!\MessageBreak + Tangent lines are parallel}} +\def\xpct@ErrHypCons{% + \PackageError{xpicture}{% + Inconsistent parameters in \noexpand\Hyperbola command}{% + The first and second parameters in a \noexpand\Hyperbola + command\MessageBreak + must be, respectively, lesser than the third and + the fourth ones.}} +\def\xpct@Infocfg{\PackageInfo{xpicture}{% + Loading local configuration file xpicture.cfg}} +\def\xpct@Infonocfg{\PackageInfo{xpicture}{% + Local configuration file xpicture.cfg does not exists}} +\newcounter{xpct@counta} +\newcounter{xpct@countb} +\newcounter{xpct@step} +\newcounter{multiput} +\newdimen\xpct@bxw +\newdimen\xpct@bxh +\def\xpct@maxnum{16383.99998} +\def\makenotics{\ticsfalse} +\def\maketics{\ticstrue} +\def\makenolabels{\labelsfalse} +\def\makelabels{\labelstrue} +\def\makenogrid{\gridfalse} +\def\makegrid{\gridtrue} +\def\externalaxes{\inzeroaxesfalse} +\def\internalaxes{\inzeroaxestrue} +\newdimen\axesthickness +\def\xpct@axeslabelattrib{\axeslabelsize% + \pictcolor{\axeslabelcolor}% + \mathversion{\axeslabelmathversion}} +\newdimen\ticsthickness +\newdimen\ticssize +\newdimen\secundaryticssize +\newdimen\gridthickness +\newdimen\secundarygridthickness +\def\pictcolor{\@killglue\color} +\def\standardreferencesystem{\referencesystem(0,0)(1,0)(0,1)} +\def\referencesystem(#1,#2)(#3,#4)(#5,#6){% + \COPY{#1}\xpct@xorigin + \COPY{#2}\xpct@yorigin + \COPY{#3}\xpct@xI + \COPY{#4}\xpct@yI + \COPY{#5}\xpct@xII + \COPY{#6}\xpct@yII} +\def\changereferencesystem(#1)(#2)(#3){% + \refsysPoint(#1)(\xpct@newx,\xpct@newy) + \refsysVector(#2)(\xpct@newux,\xpct@newuy) + \refsysVector(#3)(\xpct@newvx,\xpct@newvy) + \referencesystem(\xpct@newx,\xpct@newy)(\xpct@newux,\xpct@newuy)% + (\xpct@newvx,\xpct@newvy)} +\def\translateorigin(#1){\changereferencesystem(#1)(1,0)(0,1)} +\def\rotateaxes#1{% + \ifdegrees\DEGREESCOS{#1}\xpct@cosine\DEGREESSIN{#1}\xpct@sine + \else\COS{#1}\xpct@cosine\SIN{#1}\xpct@sine\fi + \changereferencesystem% + (0,0)(\xpct@cosine,\xpct@sine)(-\xpct@sine,\xpct@cosine)} +\def\symmetrize#1{% + \MULTIPLY{2}{#1}{\xpct@sym} + \ifdegrees + \DEGREESCOS{\xpct@sym}\xpct@cosine\DEGREESSIN{\xpct@sym}\xpct@sine + \else + \COS{\xpct@sym}\xpct@cosine\SIN{\xpct@sym}\xpct@sine\fi + \changereferencesystem% + (0,0)(\xpct@cosine,\xpct@sine)(\xpct@sine,-\xpct@cosine)} +\def\refsysxyVector(#1)(#2,#3){% + \MATRIXVECTORPRODUCT% + (\xpct@xI,\xpct@xII;\xpct@yI,\xpct@yII)(#1)(#2,#3)} +\def\refsysxyPoint(#1)(#2,#3){% + \MATRIXVECTORPRODUCT(\xpct@xI,\xpct@xII;\xpct@yI,\xpct@yII)(#1)(#2,#3) + \VECTORADD(#2,#3)(\xpct@xorigin,\xpct@yorigin)(#2,#3)} +\def\refsyspVector(#1,#2)(#3,#4){% + \polarcoor(#1,#2)(\xpct@polarx,\xpct@polary) + \refsysxyVector(\xpct@polarx,\xpct@polary)(#3,#4)} +\def\refsyspPoint(#1,#2)(#3,#4){% + \polarcoor(#1,#2)(\xpct@polarx,\xpct@polary) + \refsysxyPoint(\xpct@polarx,\xpct@polary)(#3,#4)} +\def\cartesianreference{% + \def\refsysVector{\refsysxyVector}% + \def\refsysPoint{\refsysxyPoint}\polarfalse} +\def\polarreference{% + \def\refsysVector{\refsyspVector}% + \def\refsysPoint{\refsyspPoint}\polartrue} +\def\polarcoor(#1,#2)(#3,#4){% + \ifdegrees\DEGREESCOS{#2}{\xpct@Px}\DEGREESSIN{#2}{\xpct@Py} + \else\COS{#2}{\xpct@Px}\SIN{#2}{\xpct@Py}\fi + \MULTIPLY{\xpct@Px}{#1}{#3} + \MULTIPLY{\xpct@Py}{#1}{#4}} +\def\degreesangles{\degreestrue} +\def\radiansangles{\degreesfalse} +\def\Picture{\@ifnextchar[{\xpct@@Picture}{\xpct@Picture}} +\def\xpct@Picture(#1,#2)(#3,#4){% + \refsysxyPoint(#1,#2)(\xpct@xzero,\xpct@yzero) + \refsysxyPoint(#3,#4)(\xpct@xone,\xpct@yone) + \refsysxyPoint(#1,#4)(\xpct@xtwo,\xpct@ytwo) + \refsysxyPoint(#3,#2)(\xpct@xthree,\xpct@ythree) + \MIN{\xpct@xzero}{\xpct@xone}{\xpct@xmin} + \MIN{\xpct@xmin}{\xpct@xtwo}{\xpct@xmin} + \MIN{\xpct@xmin}{\xpct@xthree}{\xpct@xmin} + \MIN{\xpct@yzero}{\xpct@yone}{\xpct@ymin} + \MIN{\xpct@ymin}{\xpct@ytwo}{\xpct@ymin} + \MIN{\xpct@ymin}{\xpct@ythree}{\xpct@ymin} + \MAX{\xpct@xzero}{\xpct@xone}{\xpct@xmax} + \MAX{\xpct@xmax}{\xpct@xtwo}{\xpct@xmax} + \MAX{\xpct@xmax}{\xpct@xthree}{\xpct@xmax} + \MAX{\xpct@yzero}{\xpct@yone}{\xpct@ymax} + \MAX{\xpct@ymax}{\xpct@ytwo}{\xpct@ymax} + \MAX{\xpct@ymax}{\xpct@ythree}{\xpct@ymax} + \SUBTRACT{\xpct@xmax}{\xpct@xmin}{\xpct@pictwidth} + \SUBTRACT{\xpct@ymax}{\xpct@ymin}{\xpct@pictheight} + \begin{picture}(\xpct@pictwidth,\xpct@pictheight)(% + \xpct@xmin,\xpct@ymin) + \highestlabel{\normalfont\normalsize$1$} + \ifdraft + \colorlet{backgroundcolor}{lightgray} + \xpct@backgrd + \put(\xpct@xmin,\xpct@ymin){\line(1,0){\xpct@pictwidth}} + \put(\xpct@xmin,\xpct@ymin){\line(0,1){\xpct@pictheight}} + \put(\xpct@xmin,\xpct@ymax){\line(1,0){\xpct@pictwidth}} + \put(\xpct@xmax,\xpct@ymin){\line(0,1){\xpct@pictheight}} + \VECTORADD(\xpct@xmax,\xpct@ymax)(\xpct@xmin,\xpct@ymin)(% + \xpct@xmed,\xpct@ymed) + \SCALARVECTORPRODUCT{0.5}(\xpct@xmed,\xpct@ymed)(% + \xpct@xmed,\xpct@ymed) + \put(\xpct@xmed,\xpct@ymed){\makebox(0,0){\scshape xpicture}} + \else + \ifbg\xpct@backgrd\fi + \fi} +\def\xpct@@Picture[#1](#2,#3)(#4,#5){% + \colorlet{backgroundcolor}{#1}% + \bgtrue\xpct@Picture(#2,#3)(#4,#5)} +\def\xpct@backgrd{\begingroup + \pictcolor{backgroundcolor} + \moveto(\xpct@xzero,\xpct@yzero) + \lineto(\xpct@xthree,\xpct@ythree) + \lineto(\xpct@xone,\xpct@yone) + \lineto(\xpct@xtwo,\xpct@ytwo) + \closepath\fillpath + \endgroup} +\def\endPicture{\end{picture}} +\newenvironment{xpicture}{\begin{Picture}}{\end{Picture}} +\def\cPut#1(#2,#3)#4{% + \COPY{0}{\xpct@CorRput} + \xpct@PUT{#1}(#2,#3){#4}} +\def\rPut{\@ifstar + \xpct@rPutstar% + \xpct@rPut% + } +\def\Put{\@ifstar + \xpct@Putstar% + \xpct@Put% + } +\def\defaultPut#1{\def\xpct@tempa{#1}\def\xpct@tempb{r} + \ifx\xpct@tempa\xpct@tempb + \xpct@Infopos#1 + \def\xpct@defaultPut{\rPut} + \else + \xpct@Infopos#1 + \def\xpct@tempc{c} + \ifx\xpct@tempa\xpct@tempc + \def\xpct@defaultPut{\cPut} + \else + \xpct@Warnbadpos + \fi\fi} +\def\highestlabel#1{\settoheight{\xpct@bxh}{#1}% + \LENGTHDIVIDE{\xpct@bxh}{\unitlength}{\xpct@rputmxhg}} +\def\xpct@rPutstar{\rputstartrue\COPY{1}{\xpct@CorRput}\xpct@PUT} +\def\xpct@rPut{\rputstarfalse\COPY{1}{\xpct@CorRput}\xpct@PUT} +\def\xpct@Putstar{\@ifnextchar[{\xpct@@Putstar}{\xpct@@Put}} +\def\xpct@Put{\@ifnextchar[{\xpct@@@Put}{\xpct@@Put}} +\def\xpct@@Put(#1){\refsysPoint(#1)(\xpct@abscoorx,\xpct@abscoory) + \put(\xpct@abscoorx,\xpct@abscoory)} +\def\xpct@@Putstar[#1](#2)#3{\xpct@convtoang{#1}{\xpct@putpos}{\xpct@CorR} + \if\xpct@CorR c + \cPut{#1}(#2){#3} + \else + \rPut*{#1}(#2){#3} + \fi} +\def\xpct@@@Put[#1](#2)#3{\xpct@convtoang{#1}{\xpct@putpos}{\xpct@CorR} + \if\xpct@CorR c + \cPut{#1}(#2){#3} + \else + \if\xpct@CorR r + \rPut{#1}(#2){#3} + \else + \xpct@defaultPut{#1}(#2){#3} + \fi\fi} +\def\xpct@PUT#1(#2,#3)#4{% + \xpct@alphaput{#1}{\xpct@CorRput} + \refsysxyVector(\xpct@xPictsep,\xpct@yPictsep)(\xpct@Posx,\xpct@Posy) + \refsysPoint(#2,#3)(\xpct@posx,\xpct@posy) + \xpct@alphamove{#4}{\xpct@CorRput} + \VECTORADD(\xpct@posx,\xpct@posy)(\xpct@Posx,\xpct@Posy)(% + \xpct@Posx,\xpct@Posy) + \put(\xpct@Posx,\xpct@Posy){#4}} +\def\xpct@alphaput#1#2{\def\xpct@tempa{#1}\def\xpct@tempb{c}% + \ifx\xpct@tempa\xpct@tempb + \COPY{0}{\xpct@xPictsep}\COPY{0}{\xpct@yPictsep} + \else + \xpct@convtoang{#1}{\xpct@putpos}{\xpct@CorR} + \ifnum #2=0 + \DEGREESCOS{\xpct@putpos}{\xpct@cosine} + \DEGREESSIN{\xpct@putpos}{\xpct@sine} + \else + \qCOS{\xpct@putpos}{\xpct@cosine} + \qSIN{\xpct@putpos}{\xpct@sine} + \fi + \MULTIPLY{\Pictlabelsep}{\xpct@cosine}{\xpct@xPictsep} + \MULTIPLY{\Pictlabelsep}{\xpct@sine}{\xpct@yPictsep} + \fi} +\def\xpct@alphamove#1#2{% + \xpct@halfbox{#1}{\xpct@amplada}{\xpct@altura} + \ifx\xpct@tempa\xpct@tempb + \else + \ifnum #2=0 + \UNITVECTOR(\xpct@Posx,\xpct@Posy)(\xpct@xdir,\xpct@ydir) + \else + \qUNITVECTOR(\xpct@Posx,\xpct@Posy)(\xpct@xdir,\xpct@ydir) + \ifrputstar + \ifdim\xpct@ydir\p@=-1\p@ + \DIVIDE{\xpct@rputmxhg}{2}{\xpct@altura} + \fi + \fi + \fi + \MULTIPLY{\xpct@ydir}{\xpct@altura}{\xpct@ydir} + \MULTIPLY{\xpct@xdir}{\xpct@amplada}{\xpct@xdir} + \VECTORADD(\xpct@Posx,\xpct@Posy)(\xpct@xdir,\xpct@ydir)% + (\xpct@Posx,\xpct@Posy) + \fi + \VECTORSUB(\xpct@Posx,\xpct@Posy)(\xpct@amplada,\xpct@altura)(% + \xpct@Posx,\xpct@Posy)} +\def\xpct@convtoang#1#2#3{% + \def\xpct@tempc{#1} + \def\xpct@tempd{r}\ifx\xpct@tempc\xpct@tempd\COPY{0}{#2}\def#3{r}\else + \def\xpct@tempd{tr}\ifx\xpct@tempc\xpct@tempd\COPY{45}{#2}\def#3{r}\else + \def\xpct@tempd{t}\ifx\xpct@tempc\xpct@tempd\COPY{90}{#2}\def#3{r}\else + \def\xpct@tempd{tl}\ifx\xpct@tempc\xpct@tempd\COPY{135}{#2}\def#3{r}\else + \def\xpct@tempd{l}\ifx\xpct@tempc\xpct@tempd\COPY{180}{#2}\def#3{r} + \else + \def\xpct@tempd{bl}\ifx\xpct@tempc\xpct@tempd\COPY{-135}{#2} + \def#3{r}\else + \def\xpct@tempd{b}\ifx\xpct@tempc\xpct@tempd\COPY{-90}{#2} + \def#3{r}\else + \def\xpct@tempd{br}\ifx\xpct@tempc\xpct@tempd\COPY{-45}{#2} + \def#3{r}\else + \def\xpct@tempd{rtr}\ifx\xpct@tempc\xpct@tempd\COPY{22.5}{#2} + \def#3{r}\else + \def\xpct@tempd{ttr}\ifx\xpct@tempc\xpct@tempd\COPY{67.5}{#2} + \def#3{r}\else + \def\xpct@tempd{ttl}\ifx\xpct@tempc\xpct@tempd\COPY{112.5}{#2} + \def#3{r}\else + \def\xpct@tempd{ltl}\ifx\xpct@tempc\xpct@tempd\COPY{157.5}{#2} + \def#3{r}\else + \def\xpct@tempd{lbl}\ifx\xpct@tempc\xpct@tempd\COPY{-157.5}{#2} + \def#3{r}\else + \def\xpct@tempd{bbl}\ifx\xpct@tempc\xpct@tempd\COPY{-112.5}{#2} + \def#3{r}\else + \def\xpct@tempd{bbr}\ifx\xpct@tempc\xpct@tempd\COPY{-67.5}{#2} + \def#3{r}\else + \def\xpct@tempd{rbr}\ifx\xpct@tempc\xpct@tempd\COPY{-22.5}{#2} + \def#3{r}\else + \def\xpct@tempd{E}\ifx\xpct@tempc\xpct@tempd\COPY{0}{#2}\def#3{c}\else + \def\xpct@tempd{NE}\ifx\xpct@tempc\xpct@tempd\COPY{45}{#2}\def#3{c}\else + \def\xpct@tempd{N}\ifx\xpct@tempc\xpct@tempd\COPY{90}{#2}\def#3{c}\else + \def\xpct@tempd{NW}\ifx\xpct@tempc\xpct@tempd\COPY{135}{#2}\def#3{c}\else + \def\xpct@tempd{W}\ifx\xpct@tempc\xpct@tempd\COPY{180}{#2}\def#3{c}\else + \def\xpct@tempd{SW}\ifx\xpct@tempc\xpct@tempd\COPY{-135}{#2} + \def#3{c}\else + \def\xpct@tempd{S}\ifx\xpct@tempc\xpct@tempd\COPY{-90}{#2}\def#3{c}\else + \def\xpct@tempd{SE}\ifx\xpct@tempc\xpct@tempd\COPY{-45}{#2}\def#3{c}\else + \def\xpct@tempd{ENE}\ifx\xpct@tempc\xpct@tempd\COPY{22.5}{#2} + \def#3{c}\else + \def\xpct@tempd{NNE}\ifx\xpct@tempc\xpct@tempd\COPY{67.5}{#2} + \def#3{c}\else + \def\xpct@tempd{NNW}\ifx\xpct@tempc\xpct@tempd\COPY{112.5}{#2} + \def#3{c}\else + \def\xpct@tempd{WNW}\ifx\xpct@tempc\xpct@tempd\COPY{157.5}{#2} + \def#3{c}\else + \def\xpct@tempd{WSW}\ifx\xpct@tempc\xpct@tempd\COPY{-157.5}{#2} + \def#3{c}\else + \def\xpct@tempd{SSW}\ifx\xpct@tempc\xpct@tempd\COPY{-112.5}{#2} + \def#3{c}\else + \def\xpct@tempd{SSE}\ifx\xpct@tempc\xpct@tempd\COPY{-67.5}{#2} + \def#3{c}\else + \def\xpct@tempd{ESE}\ifx\xpct@tempc\xpct@tempd\COPY{-22.5}{#2} + \def#3{c}\else + \def\xpct@tempd{c}\ifx\xpct@tempc\xpct@tempd\COPY{0}{#2}\def#3{c}\else + \COPY{#1}{#2}\def#3{a} +\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi +\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi +\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi +} +\def\xpct@halfbox#1#2#3{% + \settowidth\xpct@bxw{#1}% + \settoheight\xpct@bxh{#1}% + \LENGTHDIVIDE{\xpct@bxw}{\unitlength}{#2} + \LENGTHDIVIDE{\xpct@bxh}{\unitlength}{#3} + \MULTIPLY{0.5}{#2}{#2} + \MULTIPLY{0.5}{#3}{#3}} +\def\qCOS#1#2{% + \ifdim #1\p@<-135\p@ + \ADD{360}{#1}{\xpct@angles}\qCOS{\xpct@angles}{#2} + \else + \ifdim #1\p@>225\p@ \SUBTRACT{#1}{360}{\xpct@angles} + \qCOS{\xpct@angles}{#2} + \else + \ifdim #1\p@<-45\p@ \DEGREESCOT{#1}{#2}\MULTIPLY{-1}{#2}{#2} + \else + \ifdim #1\p@<45\p@ \COPY{1}{#2} + \else + \ifdim #1\p@<135\p@ \DEGREESCOT{#1}{#2} + \else + \COPY{-1}{#2} + \fi + \fi + \fi + \fi + \fi +} +\def\qSIN#1#2{% + \ifdim #1\p@<-135\p@ + \ADD{360}{#1}{\xpct@angles}\qSIN{\xpct@angles}{#2} + \else + \ifdim #1\p@>225\p@ \SUBTRACT{#1}{360}{\xpct@angles} + \qSIN{\xpct@angles}{#2} + \else + \ifdim #1\p@<-45\p@ \COPY{-1}{#2} + \else + \ifdim #1\p@<45\p@ \DEGREESTAN{#1}{#2} + \else + \ifdim #1\p@<135\p@ \COPY{1}{#2} + \else + \DEGREESTAN{#1}{#2}\MULTIPLY{-1}{#2}{#2} + \fi + \fi + \fi + \fi + \fi +} +\def\qUNITVECTOR(#1,#2)(#3,#4){% + \VECTORCOPY(#1,#2)(#3,#4) + \ABSVALUE{#4}{\xpct@Ydir} + \ifdim \xpct@Ydir\p@ < 0.00005\p@ + \COPY{\xpct@maxnum}{\xpct@tan} + \else + \DIVIDE{#3}{#4}{\xpct@tan} + \fi + \ifdim #3\p@ > 0\p@ + \ifdim #4\p@ > 0\p@ + \ifdim #3\p@ > #4\p@ + \COPY{1}{#3}\DIVIDE{#4}{\xpct@tan}{#4} + \else + \COPY{1}{#4}\COPY{\xpct@tan}{#3} + \fi + \else + \ifdim #3\p@ > -#4\p@ + \COPY{1}{#3}\DIVIDE{-#4}{\xpct@tan}{#4} + \else + \COPY{-1}{#4}\MULTIPLY{-1}{\xpct@tan}{#3} + \fi + \fi + \else + \ifdim #4\p@ > 0\p@ + \ifdim -#3\p@ > #4\p@ + \COPY{-1}{#3}\DIVIDE{-#4}{\xpct@tan}{#4} + \else + \COPY{1}{#4}\COPY{\xpct@tan}{#3} + \fi + \else + \ifdim #3\p@ > #4\p@ + \COPY{-1}{#4}\COPY{-\xpct@tan}{#3} + \else + \COPY{-1}{#3}\DIVIDE{#4}{\xpct@tan}{#4} + \fi + \fi + \fi +} +\def\multicPut#1{\def\xpct@mPut{\cPut{#1}}\xpct@@mPut} +\def\multirPut{\@ifstar + \xpct@multirPutstar% + \xpct@multirPut% + } +\def\multiPut{\@ifstar + \xpct@multiPutstar% + \xpct@multiPut% + } +\def\xpct@multirPutstar#1{\def\xpct@mPut{\rPut*{#1}}\xpct@@mPut} +\def\xpct@multirPut#1{\def\xpct@mPut{\rPut{#1}}\xpct@@mPut} +\def\xpct@multiPut{\@ifnextchar[{\xpct@@@multiPut}{\xpct@@multiPut}} +\def\xpct@multiPutstar{\@ifnextchar[{\xpct@@@multiPutstar}{\xpct@@multiPutstar}} +\def\xpct@@multiPut{\def\xpct@mPut{\Put}\xpct@@mPut} +\def\xpct@@multiPutstar{\def\xpct@mPut{\Put*}\xpct@@mPut} +\def\xpct@@@multiPut[#1]{\def\xpct@mPut{\Put[#1]}\xpct@@mPut} +\def\xpct@@@multiPutstar[#1]{\def\xpct@mPut{\Put*[#1]}\xpct@@mPut} +\def\xpct@@mPut(#1,#2)(#3,#4)#5#6{% + \COPY{#1}\xpct@@abscoorx\COPY{#2}\xpct@@abscoory + \setcounter{multiput}{0}% + \@whilenum\value{multiput}<#5 \do + {\xpct@mPut(\xpct@@abscoorx,\xpct@@abscoory){#6} + \ADD{#3}\xpct@@abscoorx\xpct@@abscoorx + \ADD{#4}\xpct@@abscoory\xpct@@abscoory + \stepcounter{multiput}}} +\def\multicPlot#1#2(#3){\cPut{#1}(#3){#2}\@ifnextchar({\multicPlot{#1}{#2}}{}} +\def\multirPlot{\@ifstar + \xpct@multirPlotstar% + \xpct@multirPlot% + } +\def\multiPlot{\@ifstar + \xpct@multiPlotstar% + \xpct@multiPlot% + } +\def\xpct@multirPlotstar#1#2(#3){\rPut*{#1}(#3){#2} + \@ifnextchar({\xpct@multirPlotstar{#1}{#2}}{}} +\def\xpct@multirPlot#1#2(#3){\rPut{#1}(#3){#2} + \@ifnextchar({\xpct@multirPlot{#1}{#2}}{}} +\def\xpct@multiPlotstar{% + \@ifnextchar[{\xpct@@@multiPlotstar}{\xpct@@multiPlotstar}} +\def\xpct@multiPlot{\@ifnextchar[{\xpct@@@multiPlot}{\xpct@@multiPlot}} +\def\xpct@@multiPlot#1(#2){\Put(#2){#1}\@ifnextchar({\xpct@@multiPlot{#1}}{}} +\def\xpct@@@multiPlot[#1]#2(#3){\Put[#1](#3){#2} + \@ifnextchar({\xpct@@@multiPlot[#1]{#2}}{}} +\def\xpct@@multiPlotstar#1(#2){\Put*(#2){#1} + \@ifnextchar({\xpct@@multiPlotstar{#1}}{}} +\def\xpct@@@multiPlotstar[#1]#2(#3){\Put*[#1](#3){#2} + \@ifnextchar({\xpct@@@multiPlotstar[#1]{#2}}{}} +\def\xLINE(#1)(#2){% + \refsysPoint(#1)(\xpct@xzero,\xpct@yzero) + \refsysPoint(#2)(\xpct@xone,\xpct@yone) + \xpct@strline(\xpct@xzero,\xpct@yzero)(\xpct@xone,\xpct@yone)} +\let\strline\xLINE +\def\xpct@strline{\@killglue\@ifundefined{segment}{\LINE}{\segment}} +\def\xVECTOR(#1)(#2){% + \refsysPoint(#1)(\xpct@xzero,\xpct@yzero) + \refsysPoint(#2)(\xpct@xone,\xpct@yone) + \VECTOR(\xpct@xzero,\xpct@yzero)(\xpct@xone,\xpct@yone)} +\def\xtrivVECTOR(#1)(#2){% + \refsysPoint(#1)(\xpct@xzeropoint,\xpct@yzeropoint) + \refsysPoint(#2)(\xpct@xonepoint,\xpct@yonepoint) + \xpct@xtrivVECTOR(\xpct@xzeropoint,\xpct@yzeropoint)(% + \xpct@xonepoint,\xpct@yonepoint)} +\def\arrowsize#1#2{\COPY{#1}{\xpct@xarrowlen} + \COPY{#2}{\xpct@yarrowlen}} +\def\xpct@xtrivVECTOR(#1)(#2){% + \xpct@strline(#1)(#2) + \VECTORSUB(#2)(#1)(\xpct@xarrow,\xpct@yarrow) + \VECTORNORM(\xpct@xarrow,\xpct@yarrow){\xpct@xarrowunit} + \DIVIDE{\xpct@xarrow}{\xpct@xarrowunit}{\xpct@xarrow} + \DIVIDE{\xpct@yarrow}{\xpct@xarrowunit}{\xpct@yarrow} + \xpct@arrow(#2){\xpct@xarrow}{\xpct@yarrow}} +\def\xpct@arrow(#1)#2#3{\begingroup% + \referencesystem(#1)(#2,#3)(-#3,#2) + \Put(0,0){\setlength{\unitlength}{1pt}% + \begin{Picture}(0,0)(0,0)\cartesianreference + \xLINE(-\xpct@xarrowlen,\xpct@yarrowlen)(0,0) + \xLINE(0,0)(-\xpct@xarrowlen,-\xpct@yarrowlen) + \end{Picture}}\endgroup} +\def\zerovector(#1){% + \UNITVECTOR(#1)(\xpct@dirx,\xpct@diry) + \SCALARVECTORPRODUCT{0.01}(\xpct@dirx,\xpct@diry)(\xpct@dirx,\xpct@diry) + \xVECTOR(0,0)(\xpct@dirx,\xpct@diry)} +\def\zerotrivvector(#1){% + \UNITVECTOR(#1)(\xpct@dirx,\xpct@diry) + \SCALARVECTORPRODUCT{0.01}(\xpct@dirx,\xpct@diry)(\xpct@dirx,\xpct@diry) + \xtrivVECTOR(0,0)(\xpct@dirx,\xpct@diry)} +\def\xline(#1,#2)#3{% + \xpct@xline(#1,#2){#3} + \xLINE(0,0)(\xpct@@xdir,\xpct@@ydir)} + +\def\xvector(#1,#2)#3{% + \ifdim #3 pt = 0 pt \zerovector(#1,#2) + \else + \xpct@xline(#1,#2){#3} + \xVECTOR(0,0)(\xpct@@xdir,\xpct@@ydir) + \fi} + +\def\xtrivvector(#1,#2)#3{% + \ifdim #3 pt = 0 pt \zerotrivvector(#1,#2) + \else + \xpct@xline(#1,#2){#3} + \xtrivVECTOR(0,0)(\xpct@@xdir,\xpct@@ydir) + \fi} +\def\xpct@xline(#1,#2)#3{% + \ABSVALUE{#1}{\xpct@modx} + \ifdim \xpct@modx pt < 0.0001 pt + \COPY{0}{\xpct@@xdir} + \ifdim #2\p@>\z@ \COPY{#3}{\xpct@@ydir} + \else \MULTIPLY{-1}{#3}{\xpct@@ydir} + \fi + \else + \DIVIDE{#1}{\xpct@modx}{\xpct@@xdir} + \DIVIDE{#2}{\xpct@modx}{\xpct@@ydir} + \SCALARVECTORPRODUCT{#3}(\xpct@@xdir,\xpct@@ydir)(% + \xpct@@xdir,\xpct@@ydir) + \fi} +\def\Polyline(#1)(#2){% + \xLINE(#1)(#2)\@ifnextchar({\Polyline(#2)}{}} +\def\Polygon(#1,#2)(#3){% + \COPY{#1}{\xpct@firstx}\COPY{#2}{\xpct@firsty} + \xpct@Polygon(#1,#2)(#3)} +\def\xpct@Polygon(#1)(#2){% + \xLINE(#1)(#2)\@ifnextchar({\xpct@Polygon(#2)}{% + \xLINE(#2)(\xpct@firstx,\xpct@firsty)}} +\def\regularPolygon{% + \@ifnextchar[{\xpct@regPolygon}{\xpct@@regPolygon}} +\def\xpct@@regPolygon#1#2{\xpct@regPolygon[0]{#1}{#2}} +\def\xpct@regPolygon[#1]#2#3{\begingroup% + \polarreference\degreesangles + \setcounter{xpct@counta}{0}% + \setcounter{xpct@countb}{#3}% + \DIVIDE{360}{#3}{\xpct@angles} + \COPY{#1}{\xpct@anglea} + \@whilenum\value{xpct@counta}<\value{xpct@countb} \do {% + \ADD{\xpct@anglea}{\xpct@angles}{\xpct@angleb} + \xLINE(#2,\xpct@anglea)(#2,\xpct@angleb) + \COPY{\xpct@angleb}{\xpct@anglea}\stepcounter{xpct@counta}} + \endgroup} +\def\xpct@ctrlpoint(#1,#2)(#3,#4)(#5,#6)(#7,#8){% + \DETERMINANT(#3,#4;#7,#8)\xpct@detA + \DETERMINANT(#1,#2;#3,#4)\xpct@detB + \DETERMINANT(#5,#6;#7,#8)\xpct@detC + \DETERMINANT(#3,#7;\xpct@detB,\xpct@detC)\xpct@detD + \DETERMINANT(#4,#8;\xpct@detB,\xpct@detC)\xpct@detE + \ABSVALUE{\xpct@detA}{\xpct@@detA} + \ABSVALUE{\xpct@detD}{\xpct@@detD} + \ABSVALUE{\xpct@detE}{\xpct@@detE} + \ifdim \xpct@@detA pt<0.00005 pt + \ifdim \xpct@@detD pt<0.00005 pt %\xpct@detD pt=0 pt + \ifdim \xpct@@detE pt<0.00005 pt %\xpct@detE pt=0 pt + \ADD{#1}{#5}{\xpct@solx}\DIVIDE{\xpct@solx}{2}{\xpct@solx} + \ADD{#2}{#6}{\xpct@soly}\DIVIDE{\xpct@soly}{2}{\xpct@soly} + \fi\else + \xpct@WarnIncSys(#1,#2)(#5,#6) + \let\xpct@solx\undefined\let\xpct@soly\undefined + \fi + \else + \DIVIDE{\xpct@detD}{\xpct@detA}{\xpct@solx} + \DIVIDE{\xpct@detE}{\xpct@detA}{\xpct@soly} + \fi} +\def\qCurve(#1){\@ifnextchar({\xpct@@qCurve(#1)}{\xpct@@@qCurve(#1)}} +\def\xpct@@qCurve(#1)(#2)(#3)(#4){% + \refsysPoint(#1)(\xpct@@xzero,\xpct@@yzero) + \refsysPoint(#3)(\xpct@@xone,\xpct@@yone) + \refsysVector(#2)(\xpct@@dxzero,\xpct@@dyzero) + \refsysVector(#4)(\xpct@@dxone,\xpct@@dyone) + \xpct@qCurve(\xpct@@xzero,\xpct@@yzero)(\xpct@@dxzero,\xpct@@dyzero)(% + \xpct@@xone,\xpct@@yone)% + (\xpct@@dxone,\xpct@@dyone)} +\def\xpct@@@qCurve(#1)#2(#3)#4{% + \ifpolar + \qCurve(#1)(1,#2)(#3)(1,#4) + \else + \DEGREESCOS{#2}{\xpct@angxz} + \DEGREESSIN{#2}{\xpct@angyz} + \DEGREESCOS{#4}{\xpct@angxo} + \DEGREESSIN{#4}{\xpct@angyo} + \qCurve(#1)(\xpct@angxz,\xpct@angyz)(#3)% + (\xpct@angxo,\xpct@angyo)\fi} +\def\xpct@qCurve(#1)(#2)(#3)(#4){% + \xpct@ctrlpoint(#1)(#2)(#3)(#4) + \ifx\xpct@solx\undefined + \else + \qbezier(#1)(\xpct@solx,\xpct@soly)(#3)\fi\ignorespaces} +\def\PlotQuadraticCurve(#1){% + \@ifnextchar({\xpct@PlotQuadraticCurve(#1)}{% + \xpct@@PlotQuadraticCurve(#1)}} +\def\xpct@PlotQuadraticCurve(#1)(#2)(#3)(#4){% + \qCurve(#1)(#2)(#3)(#4) + \@ifnextchar({\PlotQuadraticCurve(#3)(#4)}{}} +\def\xpct@@PlotQuadraticCurve(#1)#2(#3)#4{% + \qCurve(#1){#2}(#3){#4} + \@ifnextchar({\PlotQuadraticCurve(#3){#4}}{}} +\newvectorfunction{\xpct@circulararc}{% + \ifdegrees + \DEGREESCOS{\t}{\x} + \DEGREESSIN{\t}{\y} + \COPY{\x}{\Dy} + \MULTIPLY{-1}{\y}{\Dx} + \else + \COS{\t}{\x} + \SIN{\t}{\y} + \COPY{\x}{\Dy} + \MULTIPLY{-1}{\y}{\Dx} + \fi} +\newvectorfunction{\xpct@hyperbolicarc}{% + \DIVIDE{1}{\t}{\xpct@invt} + \ADD{\t}{\xpct@invt}{\x} + \SUBTRACT{\t}{\xpct@invt}{\y} + \MULTIPLY{0.5}{\x}{\x} + \MULTIPLY{0.5}{\y}{\y} + \COPY{\x}{\Dy} + \COPY{\y}{\Dx}} +\newvectorfunction{\xpct@parabolicarc}{% + \COPY{\t}{\y} + \COPY{1}{\Dy} + \SQUARE{\t}{\x} + \MULTIPLY{2}{\t}{\Dx}} +\def\circularArc#1#2#3{\ellipticArc{#1}{#1}{#2}{#3}} +\let\xArc\circularArc +\def\ellipticArc#1#2#3#4{% + \begingroup + \cartesianreference + \changereferencesystem(0,0)(#1,0)(0,#2) + \PlotParametricFunction[\defaultplotdivs]{\xpct@circulararc}{#3}{#4} + \endgroup\ignorespaces} +\def\Circle#1{\begingroup\radiansangles + \circularArc{#1}{0}{\numberTWOPI}\endgroup\ignorespaces} +\def\Ellipse#1#2{\begingroup\radiansangles + \ellipticArc{#1}{#2}{0}{\numberTWOPI} + \endgroup\ignorespaces} +\def\lhyperbolicArc#1#2#3#4{% + \begingroup + \changereferencesystem(0,0)(-1,0)(0,1) + \rhyperbolicArc{#1}{#2}{#3}{#4} + \endgroup} +\def\rhyperbolicArc#1#2#3#4{% + \xpct@hypluy{#2}{#3}{\xpct@uone} + \xpct@hypluy{#2}{#4}{\xpct@utwo} + \xpct@hyperbolicArc{#1}{#2}{\xpct@uone}{\xpct@utwo}} +\def\xpct@hyperbolicArc#1#2#3#4{% + \begingroup + \cartesianreference + \changereferencesystem(0,0)(#1,0)(0,#2) + \PlotParametricFunction[\defaultplotdivs]{\xpct@hyperbolicarc}{#3}{#4} + \endgroup} +\def\lHyperbola#1#2#3#4{% + \begingroup + \changereferencesystem(0,0)(-1,0)(0,1) + \rHyperbola{#1}{#2}{#3}{#4} + \endgroup} +\def\rHyperbola#1#2#3#4{% + \def\xpct@hycons{}\xpct@hypconsist{#1}{#3}% + \ifx\xpct@hycons\undefined + \else + \xpct@hyperbolalastu{#1}{#2}{#3}{#4} + \DIVIDE{1}{\xpct@umax}{\xpct@umin} + \xpct@hyperbolicArc{#1}{#2}{\xpct@umin}{1} + \xpct@hyperbolicArc{#1}{#2}{1}{\xpct@umax} + \fi} +\def\Hyperbola#1#2#3#4{% + \begingroup + \def\xpct@hycons{}\xpct@hypconsist{#1}{#3}% + \ifx\xpct@hycons\undefined + \else + \xpct@hyperbolalastu{#1}{#2}{#3}{#4} + \DIVIDE{1}{\xpct@umax}{\xpct@umin} + \xpct@hyperbolicArc{#1}{#2}{\xpct@umin}{1} + \xpct@hyperbolicArc{#1}{#2}{1}{\xpct@umax} + \changereferencesystem(0,0)(-1,0)(0,1) + \xpct@hyperbolicArc{#1}{#2}{\xpct@umin}{1} + \xpct@hyperbolicArc{#1}{#2}{1}{\xpct@umax} + \fi\endgroup} +\def\xpct@hypconsist#1#2{% + \ifnum #1<#2\else\xpct@ErrHypCons + \let\xpct@hycons\undefined\fi} +\def\xpct@hyperbolalastu#1#2#3#4{% + \xpct@hyplux{#1}{#3}{\xpct@umaxx} + \xpct@hypluy{#2}{#4}{\xpct@umaxy} + \MIN{\xpct@umaxx}{\xpct@umaxy}{\xpct@umax}} +\def \xpct@hyplux#1#2#3{% + \DIVIDE{#2}{#1}{\xpct@xa} + \SQUARE{\xpct@xa}{#3} + \SUBTRACT{#3}{1}{#3} + \SQUAREROOT{#3}{\xpct@@umaxx} + \ADD{\xpct@xa}{\xpct@@umaxx}{#3}} +\def \xpct@hypluy#1#2#3{% + \DIVIDE{#2}{#1}{\xpct@xa} + \SQUARE{\xpct@xa}{#3} + \ADD{#3}{1}{#3} + \SQUAREROOT{#3}{\xpct@@umaxx} + \ADD{\xpct@xa}{\xpct@@umaxx}{#3}} +\def\parabolicArc#1#2#3{% + \begingroup + \changereferencesystem(0,0)(#1,0)(0,1) + \PlotParametricFunction[\defaultplotdivs]{\xpct@parabolicarc}{#2}{#3} + \endgroup} +\def\Parabola#1#2#3{% + \xpct@parabolalasty{#1}{#2}{#3} + \parabolicArc{#1}{-\xpct@maxy}{0} + \parabolicArc{#1}{0}{\xpct@maxy}} +\def\xpct@parabolalasty#1#2#3{% + \ABSVALUE{#1}{\xpct@@maxy} + \DIVIDE{#2}{\xpct@@maxy}{\xpct@@maxy} + \SQUAREROOT{\xpct@@maxy}{\xpct@maxy} + \MIN{\xpct@maxy}{#3}{\xpct@maxy}} +\def\PlotFunction{% + \@ifnextchar[{\xpct@iterateplotfunction}{\xpct@plotfunction}} +\def\xpct@iterateplotfunction[#1]#2#3#4{% +\setcounter{xpct@step}{0}% +\COPY{#3}{\xpct@oldt} +\SUBTRACT{#4}{#3}{\xpct@step} +\DIVIDE{\xpct@step}{#1}{\xpct@step} +\@whilenum \value{xpct@step}<#1 \do + {\ADD{\xpct@oldt}{\xpct@step}{\xpct@newt} + \xpct@plotfunction{#2}{\xpct@oldt}{\xpct@newt} + \stepcounter{xpct@step}% + \COPY\xpct@newt\xpct@oldt +}} +\def\xpct@plotfunction#1#2#3{\@killglue% + #1{#2}{\yzero}{\Dyzero}% + #1{#3}{\yone}{\Dyone}% + \PlotxyDyData(#2,\yzero,\Dyzero)(#3,\yone,\Dyone) + \ifx\xpct@solx\undefined + \ADD{#2}{#3}{\xpct@middt} + \MULTIPLY{0.5}{\xpct@middt}{\xpct@middt} + \xpct@plotfunction{#1}{#2}{\xpct@middt} + \xpct@plotfunction{#1}{\xpct@middt}{#3} + \fi} +\def\PlotPointsOfFunction#1#2#3#4{% + \setcounter{xpct@step}{0}% +\COPY{#3}{\xpct@oldt} +\SUBTRACT{#4}{#3}{\xpct@step} +\DIVIDE{\xpct@step}{#1}{\xpct@step} +\ADD{#1}{1}{\xpct@lastt} +\@whilenum \value{xpct@step}<\xpct@lastt \do + {\ADD{\xpct@oldt}{\xpct@step}{\xpct@newt} + #2{\xpct@oldt}{\xpct@oldy}{\xpct@oldDy} + \Put[c](\xpct@oldt,\xpct@oldy){\pointmark} + \stepcounter{xpct@step}% + \COPY\xpct@newt\xpct@oldt +}} +\def\PlotxyDyData(#1,#2,#3)(#4,#5,#6){% + \qCurve(#1,#2)(1,#3)(#4,#5)(1,#6) + \@ifnextchar({\PlotxyDyData(#4,#5,#6)}{}} +\def\PlotParametricFunction{% + \@ifnextchar[{\xpct@iterateplotpfunction}{\xpct@plotpfunction}} +\def\xpct@iterateplotpfunction[#1]#2#3#4{% +\setcounter{xpct@step}{0}% +\COPY{#3}{\xpct@oldt} +\SUBTRACT{#4}{#3}{\xpct@step} +\DIVIDE{\xpct@step}{#1}{\xpct@step} +\@whilenum \value{xpct@step}<#1 \do + {\ADD{\xpct@oldt}{\xpct@step}{\xpct@newt} + \xpct@plotpfunction{#2}{\xpct@oldt}{\xpct@newt} + \stepcounter{xpct@step}% + \COPY\xpct@newt\xpct@oldt}\ignorespaces} +\def\xpct@plotpfunction#1#2#3{% + \begingroup + #1{#2}\xzero\Dxzero\yzero\Dyzero + #1{#3}\xone\Dxone\yone\Dyone + \cartesianreference + \qCurve(\xzero,\yzero)(\Dxzero,\Dyzero)(\xone,\yone)(\Dxone,\Dyone) + \endgroup\ignorespaces} +\def\cartesiangrid(#1,#2)(#3,#4){% + \begingroup\gridtrue\cartesianaxes(#1,#2)(#3,#4)\endgroup} +\def\cartesianaxes(#1,#2)(#3,#4){% + \begingroup\cartesianreference + \GLOBALCOPY{#1}{\xpct@XZero}\GLOBALCOPY{#2}{\xpct@YZero} + \GLOBALCOPY{#3}{\xpct@XOne}\GLOBALCOPY{#4}{\xpct@YOne} + \iftics + \ticslabelsgridtrue + \else + \iflabels + \ticslabelsgridtrue + \else + \ifgrid + \ticslabelsgridtrue + \fi\fi\fi + \ifticslabelsgrid + \xpct@plotticslabels + \fi + \xpct@plotaxes\endgroup} +\def\plotxtic#1{% + \maketics + \xpct@adjticssize + \xpct@adjxorytics{#1}{0} + \xpct@printtic} +\def\plotytic#1{% + \maketics + \xpct@adjticssize + \xpct@adjxorytics{#1}{1} + \xpct@printtic} +\def\printxlabel#1#2{% + \xpct@adjticssize + \xpct@adjxorytics{#1}{0} + \xpct@printlabel{0}{#2}} +\def\printylabel#1#2{% + \xpct@adjticssize + \xpct@adjxorytics{#1}{1} + \xpct@printlabel{1}{#2}} +\def\printxticlabel#1#2{\plotxtic{#1}\printxlabel{#1}{#2}} +\def\printyticlabel#1#2{\plotytic{#1}\printylabel{#1}{#2}} +\def\plotxtics{\xpct@plottics{0}} +\def\plotytics{\xpct@plottics{1}} +\def\printxlabels{% + \@ifnextchar[{\xpct@printlabels{0}}{\xpct@printlabels{0}[-1]}} +\def\printylabels{% + \@ifnextchar[{\xpct@printlabels{1}}{\xpct@printlabels{1}[-1]}} +\def\printxticslabels{% + \@ifnextchar[{\xpct@printxticslabels}{\xpct@printxticslabels[-1]}} +\def\printyticslabels{% + \@ifnextchar[{\xpct@printyticslabels}{\xpct@printyticslabels[-1]}} + +\def\xpct@plotaxes{\linethickness{\axesthickness}% + \pictcolor{\axescolor} + \ifinzeroaxes + \xLINE(\xpct@XZero,0)(\xpct@XOne,0) + \xLINE(0,\xpct@YZero)(0,\xpct@YOne) + \else + \xLINE(\xpct@XZero,\xpct@YZero)(\xpct@XOne,\xpct@YZero) + \xLINE(\xpct@XZero,\xpct@YZero)(\xpct@XZero,\xpct@YOne) + \fi} +\def\xpct@plotticslabels{% + \xpct@adjticssize + \xpct@plotxticslabels\xpct@plotyticslabels} +\def\xpct@plotxticslabels{% + \ifgrid\xpct@plotgrid\fi + \begingroup + \ifnum\xunitdivisions=1 + \xpct@ticsinterval{\xpct@XZero}{\xpct@XOne} + \xpct@plotxtics + \else + \begingroup + \xpct@adjstics + \MULTIPLY{\secundaryyticssize}{\yunitdivisions}{\yticssize} + \makenolabels + \def\xunitdivisions{1} + \xpct@plotxticslabels + \endgroup + \def\xunitdivisions{1} + \xpct@plotxticslabels + \fi + \endgroup} +\def\xpct@plotyticslabels{% + \begingroup + \ifnum\yunitdivisions=1 + \xpct@ticsinterval{\xpct@YZero}{\xpct@YOne} + \xpct@plotytics + \else + \begingroup + \xpct@adjstics + \MULTIPLY{\secundaryxticssize}{\xunitdivisions}{\xticssize} + \makenolabels + \def\yunitdivisions{1} + \xpct@plotyticslabels + \endgroup + \def\yunitdivisions{1} + \xpct@plotyticslabels + \fi + \endgroup} +\def\xpct@adjstics{% + \MULTIPLY{\xpct@XZero}{\xunitdivisions}{\xpct@XZero} + \MULTIPLY{\xpct@YZero}{\yunitdivisions}{\xpct@YZero} + \MULTIPLY{\xpct@XOne}{\xunitdivisions}{\xpct@XOne} + \MULTIPLY{\xpct@YOne}{\yunitdivisions}{\xpct@YOne} + \DIVIDE{1}{\xunitdivisions}{\xpct@xunit} + \DIVIDE{1}{\yunitdivisions}{\xpct@yunit} + \changereferencesystem(0,0)(\xpct@xunit,0)(0,\xpct@yunit) + \def\gridthickness{\secundarygridthickness} + \def\gridcolor{\secundarygridcolor}} +\def\xpct@plotxtics{\xpct@maketics{\xpct@firstint}{\xpct@numtics}{0}} +\def\xpct@plotytics{\xpct@maketics{\xpct@firstint}{\xpct@numtics}{1}} +\def\xpct@maketics#1#2#3{% + \xpct@adjxorytics{#1}{#3} + \setcounter{xpct@counta}{0}% + \iflabels\setcounter{xpct@countb}{#1}\fi + \@whilenum \value{xpct@counta}<#2 \do {% + \iftics + \xpct@printtic + \fi + \iflabels + \highestlabel{\xpct@axeslabelattrib% + $\axeslabelmathalphabet{1}$}% + \xpct@printlabel{#3}{\thexpct@countb} + \stepcounter{xpct@countb}% + \fi + \stepcounter{xpct@counta}% + \VECTORADD(\xpct@@xzero,\xpct@@yzero)(\xpct@@xincr,\xpct@@yincr)% + (\xpct@@xzero,\xpct@@yzero) + \VECTORADD(\xpct@@xone,\xpct@@yone)(\xpct@@xincr,\xpct@@yincr)% + (\xpct@@xone,\xpct@@yone) + }} +\def\xpct@adjxorytics#1#2{% + \ifnum #2=0 + \COPY{#1}{\xpct@@xzero} + \COPY{-\yticssize}{\xpct@@yzero} + \COPY{#1}{\xpct@@xone} + \COPY{\yticssize}{\xpct@@yone} + \COPY{1}{\xpct@@xincr} + \COPY{0}{\xpct@@yincr} + \ifinzeroaxes\else + \ADD{\xpct@YZero}{\xpct@@yzero}{\xpct@@yzero} + \ADD{\xpct@YZero}{\xpct@@yone}{\xpct@@yone} + \fi + \else + \COPY{#1}{\xpct@@yzero} + \COPY{-\xticssize}{\xpct@@xzero} + \COPY{#1}{\xpct@@yone} + \COPY{\xticssize}{\xpct@@xone} + \COPY{1}{\xpct@@yincr} + \COPY{0}{\xpct@@xincr} + \ifinzeroaxes\else + \ADD{\xpct@XZero}{\xpct@@xzero}{\xpct@@xzero} + \ADD{\xpct@XZero}{\xpct@@xone}{\xpct@@xone} + \fi + \fi} +\def\xpct@printtic{\pictcolor{\ticscolor} + \linethickness{\ticsthickness} + \xLINE(\xpct@@xzero,\xpct@@yzero)(\xpct@@xone,\xpct@@yone)} +\def\xpct@adjticssize{% + \LENGTHDIVIDE{\ticssize}{\unitlength}{\xpct@ticssize} + \LENGTHDIVIDE{\secundaryticssize}{\unitlength}{\xpct@sticssize} + \refsysxyVector(1,0)(\xpct@a,\xpct@b) + \VECTORNORM(\xpct@a,\xpct@b){\xpct@norm} + \DIVIDE{\xpct@ticssize}{\xpct@norm}{\xticssize} + \DIVIDE{\xpct@sticssize}{\xpct@norm}{\secundaryxticssize} + \DIVIDE{\axislabelsep}{\xpct@norm}{\xpct@xaxislabelsep} + \refsysxyVector(0,1)(\xpct@a,\xpct@b) + \VECTORNORM(\xpct@a,\xpct@b){\xpct@norm} + \DIVIDE{\xpct@ticssize}{\xpct@norm}{\yticssize} + \DIVIDE{\xpct@sticssize}{\xpct@norm}{\secundaryyticssize} + \DIVIDE{\axislabelsep}{\xpct@norm}{\xpct@yaxislabelsep}} +\def\xpct@printlabel#1#2{% + \iftics + \ifnum #1=0 + \ADD{\yticssize}{\xpct@yaxislabelsep}{\Pictlabelsep} + \else + \ADD{\xticssize}{\xpct@xaxislabelsep}{\Pictlabelsep} + \fi + \else + \ifnum #1=0 + \COPY{\xpct@yaxislabelsep}{\Pictlabelsep} + \else + \COPY{\xpct@xaxislabelsep}{\Pictlabelsep} + \fi + \fi + \ifinzeroaxes + \ifnum\thexpct@countb=0 + \else + \ifnum #1=0 + \rPut*{\xpct@xlblpos}(\xpct@@xzero,0){% + \xpct@axeslabelattrib% + \ensuremath{\axeslabelmathalphabet{#2}}} + \else + \rPut*{\xpct@ylblpos}(0,\xpct@@yzero){% + \xpct@axeslabelattrib% + \ensuremath{\axeslabelmathalphabet{#2}}} + \fi + \fi + \else + \ifnum #1=0 + \rPut*{\xpct@xlblpos}(\xpct@@xzero,\xpct@YZero){% + \xpct@axeslabelattrib% + \ensuremath{\axeslabelmathalphabet{#2}}} + \else + \rPut*{\xpct@ylblpos}(\xpct@XZero,\xpct@@yzero){% + \xpct@axeslabelattrib% + \ensuremath{\axeslabelmathalphabet{#2}}} + \fi + \fi} +\def\xlabelpos#1{\xpct@convtoang{#1}{\xpct@xlblpos}{\xpct@CorR}} +\def\ylabelpos#1{\xpct@convtoang{#1}{\xpct@ylblpos}{\xpct@CorR}} +\def\xpct@printxticslabels[#1]#2#3#4{% + \plotxtics{#2}{#3}{#4}\printxlabels[#1]{#2}{#3}{#4}} +\def\xpct@printyticslabels[#1]#2#3#4{% + \plotytics{#2}{#3}{#4}\printylabels[#1]{#2}{#3}{#4}} +\def\xpct@plottics#1#2#3#4{% + \COPY{#2}{\xpct@ticcoor} + \@whiledim\xpct@ticcoor\p@<#4\p@ \do {% + \ifnum #1=0 + \plotxtic{\xpct@ticcoor} + \else + \plotytic{\xpct@ticcoor} + \fi + \ADD{#3}{\xpct@ticcoor}{\xpct@ticcoor} + } + \ifdim\xpct@ticcoor\p@>#4\p@ + \else + \ifnum #1=0 + \plotxtic{\xpct@ticcoor} + \else + \plotytic{\xpct@ticcoor} + \fi + \fi} +\def\xpct@printlabels#1[#2]#3#4#5{% + \COPY{#3}{\xpct@ticcoor} + \@whiledim\xpct@ticcoor\p@<#5\p@ \do {% + \ifnum #2=-1 + \COPY{\xpct@ticcoor}{\xpct@Ticcoor} + \else + \ROUND[#2]{\xpct@ticcoor}{\xpct@Ticcoor} + \fi + \xpct@prtlbl{#1} + \ADD{#4}{\xpct@ticcoor}{\xpct@ticcoor}} + \ifdim\xpct@ticcoor\p@>#5\p@ + \else + \ifnum #2=-1 + \COPY{\xpct@ticcoor}{\xpct@Ticcoor} + \else + \ROUND[#2]{\xpct@ticcoor}{\xpct@Ticcoor} + \fi + \xpct@prtlbl{#1} + \fi} +\def\xpct@prtlbl#1{% + \ifinzeroaxes + \ifdim \xpct@ticcoor\p@=\z@\else + \xpct@adjticssize + \xpct@adjxorytics{\xpct@ticcoor}{#1} + \xpct@printlabel{#1}{\xpct@Ticcoor} + \fi + \else + \xpct@adjticssize + \xpct@adjxorytics{\xpct@ticcoor}{#1} + \xpct@printlabel{#1}{\xpct@Ticcoor}\fi} +\def\xpct@plotgrid{% + \xpct@ticsinterval{\xpct@XZero}{\xpct@XOne} + \begingroup\setcounter{xpct@counta}{0}% + \pictcolor{\gridcolor}\linethickness{\gridthickness} + \COPY{\xpct@firstint}{\xpct@grid} + \@whilenum\value{xpct@counta}<\xpct@numtics\do{ + \xLINE(\xpct@grid,\xpct@YZero)(\xpct@grid,\xpct@YOne) + \ADD{1}{\xpct@grid}{\xpct@grid} + \stepcounter{xpct@counta}}\endgroup + \xpct@ticsinterval{\xpct@YZero}{\xpct@YOne} + \begingroup\setcounter{xpct@counta}{0}% + \pictcolor{\gridcolor}\linethickness{\gridthickness} + \COPY{\xpct@firstint}{\xpct@grid} + \@whilenum\value{xpct@counta}<\xpct@numtics\do{ + \xLINE(\xpct@XZero,\xpct@grid)(\xpct@XOne,\xpct@grid) + \ADD{1}{\xpct@grid}{\xpct@grid} + \stepcounter{xpct@counta}}\endgroup} +\def\xpct@ticsinterval#1#2{\TRUNCATE[0]{#1}{\xpct@firstint} + \TRUNCATE[0]{#2}{\xpct@lastint} + \SUBTRACT{\xpct@lastint}{\xpct@firstint}{\xpct@numtics} + \ADD{\xpct@numtics}{1}{\xpct@numtics}} +\def\polargrid#1#2{% + \begingroup + \polarreference + \FLOOR{#1}{\xpct@rint} + \MULTIPLY{\xpct@rint}{\runitdivisions}{\xpct@rdivs} + \DIVIDE{1}{\runitdivisions}{\rincr} + \COPY{0}{\xpct@radius} + \setcounter{xpct@counta}{1}% + \begingroup + \pictcolor{\gridcolor} + \linethickness{\gridthickness} + \@whilenum \value{xpct@counta}<\xpct@rdivs\do {% + \ADD{\rincr}{\xpct@radius}{\xpct@radius} + \Ellipse{\xpct@radius}{\xpct@radius} + \stepcounter{xpct@counta}}% + \pictcolor{\axescolor} + \linethickness{\axesthickness} + \Ellipse{\xpct@rint}{\xpct@rint} + \endgroup + \COPY{0}{\xpct@angle} + \DIVIDE{\numberTWOPI}{#2}{\xpct@angincr} + \setcounter{xpct@counta}{0}% + \pictcolor{\gridcolor} + \linethickness{\gridthickness} + \@whilenum \value{xpct@counta}<#2 \do {% + \xLINE(0,0)(#1,\xpct@angle) + \iflabels + \COPY{\axislabelsep}{\Pictlabelsep} + \MULTIPLY{2}{\thexpct@counta}{\xpct@arc} + \xpct@polarlabel{#1}{\xpct@arc}{#2}\fi + \ADD{\xpct@angincr}{\xpct@angle}{\xpct@angle} + \stepcounter{xpct@counta}}% + \pictcolor{\axescolor} + \linethickness{\axesthickness} + \xLINE(0,0)(#1,0) + \iflabels + \highestlabel{\xpct@axeslabelattrib$\axeslabelmathalphabet{1}$} + \multiPut*[\xpct@rlblpos](1,0)(1,0){\xpct@rint}{% + \ADD{\value{multiput}}{1}{\xpct@lbl} + \xpct@axeslabelattrib% + \ensuremath{\axeslabelmathalphabet{\xpct@lbl}}}% + \fi + \endgroup} + +\def\rlabelpos#1{\xpct@convtoang{#1}{\xpct@rlblpos}{\xpct@CorR}} +\def\degreespolarlabels{\def\xpct@polarlabel{\xpct@degreeslabel}} +\def\radianspolarlabels{\def\xpct@polarlabel{\xpct@radianslabel}} +\def\xpct@degreeslabel#1#2#3{% + \FRACTIONSIMPLIFY{#2}{#3}\xpct@num\xpct@den + \MULTIPLY{\xpct@num}{180}{\xpct@degangle} + \DIVIDE{\xpct@degangle}{\xpct@den}{\xpct@degangle} + \cPut{\xpct@degangle}(#1,\xpct@angle){% + \xpct@axeslabelattrib% + \ensuremath{\axeslabelmathalphabet{\xpct@degangle^\mathrm{o}}}}} +\def\xpct@radianslabel#1#2#3{% + \RADtoDEG{\xpct@angle}{\xpct@angles} + \cPut{\xpct@angles}(#1,\xpct@angle){% + \xpct@axeslabelattrib% + \ensuremath{\axeslabelmathalphabet + {\xpct@prtfracrad{#2}{#3}}}}} +\def\xpct@prtfracrad#1#2{% + \FRACTIONSIMPLIFY{#1}{#2}\xpct@num\xpct@den + \ifnum \xpct@num = 0 0 + \else + \ifnum \xpct@num = 1 + \ifnum \xpct@den = 1 \pi + \else \pi/\xpct@den + \fi + \else \xpct@num\pi/\xpct@den + \fi + \fi} +\axesthickness=1pt +\def\axescolor{black} +\def\axeslabelcolor{\axescolor} +\def\axeslabelsize{\small} +\def\axeslabelmathversion{normal} +\def\axeslabelmathalphabet{\mathrm} +\xlabelpos{-90} +\ylabelpos{180} +\rlabelpos{bbr} +\def\axislabelsep{0.1} +\def\ticscolor{\axescolor} +\ticsthickness=1pt +\ticssize=4pt +\secundaryticssize=2pt +\gridthickness=0.4pt +\def\gridcolor{gray} +\secundarygridthickness=0.2pt +\def\secundarygridcolor{lightgray} +\def\xunitdivisions{1} +\def\yunitdivisions{1} +\def\runitdivisions{1} +\def\xpct@polarlabel{\xpct@radianslabel} +\def\Pictlabelsep{0.1} +\defaultPut{c} +\referencesystem(0,0)(1,0)(0,1) +\cartesianreference +\arrowsize{5}{2} +\def\defaultplotdivs{8} +\def\pointmarkdiam{0.1} +\def\pointmark{\circle*{\pointmarkdiam}} +\def\draftPictures{% + \drafttrue + \def\cPut##1(##2,##3)##4{} + \def\xpct@@Put(##1)##2{} + \def\xpct@@Putstar[##1](##2)##3{} + \def\xpct@@@Put[##1](##2)##3{} + \def\defaultPut##1{\def\xpct@defaultPut{\cPut}} + \def\xpct@@mPut(##1,##2)(##3,##4)##5##6{} + \def\xpct@PUT##1(##2,##3)##4{} + \def\xLINE(##1)(##2){} + \def\xtrivVECTOR(##1)(##2){} + \def\xVECTOR(##1)(##2){} + \def\zerovector(##1){} + \def\zerotrivvector(##1){} + \def\xline(##1,##2)##3{} + \def\xvector(##1,##2)##3{} + \def\xtrivvector(##1,##2)##3{} + \def\xpct@regPolygon[##1]##2##3{} + \def\xpct@@qCurve(##1)(##2)(##3)(##4){} + \def\xpct@PlotQuadraticCurve(##1)(##2)(##3)(##4){% + \@ifnextchar({\PlotQuadraticCurve(##3)(##4)}{}} + \def\xpct@@PlotQuadraticCurve(##1)##2(##3)##4{% + \@ifnextchar({\PlotQuadraticCurve(##3){##4}}{}} + \def\circularArc##1##2##3{} + \def\ellipticArc##1##2##3##4{} + \def\Ellipse##1##2{} + \def\Circle##1{} + \def\xpct@hyperbolicArc##1##2##3##4{} + \def\lHyperbola##1##2##3##4{} + \def\rHyperbola##1##2##3##4{} + \def\Hyperbola##1##2##3##4{} + \def\rhyperbolicArc##1##2##3##4{} + \def\lhyperbolicArc##1##2##3##4{} + \def\parabolicArc##1##2##3{} + \def\Parabola##1##2##3{} + \def\PlotPointsOfFunction##1##2##3##4{} + \def\xpct@iterateplotfunction[##1]##2##3##4{} + \def\xpct@plotfunction##1##2##3{} + \def\xpct@iterateplotpfunction[##1]##2##3##4{} + \def\xpct@plotpfunction##1##2##3{} + \def\cartesianaxes(##1,##2)(##3,##4){} + \def\cartesiangrid(##1,##2)(##3,##4){} + \def\plotxtic##1{} + \def\plotytic##1{} + \def\printxlabel##1##2{} + \def\printylabel##1##2{} + \def\printxticlabel##1##2{} + \def\printyticlabel##1##2{} + \def\plotxtics##1##2##3{} + \def\plotytics##1##2##3{} + \def\xpct@printlabels##1[##2]##3##4##5{} + \def\polargrid##1##2{} +} +\ifdraft + \draftPictures +\fi +\InputIfFileExists{xpicture.cfg}{\xpct@Infocfg}{\xpct@Infonocfg} +%% +%% +%% End of file `xpicture.sty'. |