%% %% This is file `curves.sty', %% generated with the docstrip utility. %% %% The original source files were: %% %% curves.dtx (with options: `package') %% Copyright (C) 1991-2008 Ian Maclaine-cross %% This file may be distributed under the terms of the %% LaTeX Project Public License. %% See file curves.dtx for details. %% Internet: imaclain@gmail.com \NeedsTeXFormat{LaTeX2e} \ProvidesPackage{curves} [2017/08/25 1.55 Curves for LaTeX picture environment] \catcode`\;=11 \newcount\;sc \newcount\;scp \newcount\;t \newcount\;cc \newcount\;cnd \newcount\;mcnd \newcount\;np \newcount\;overhang \newcount\;pbs \newcount\;pns \newcount\;psc \newcount\;rc \newcount\;rtc \newcount\;tc \let\;tca=\@tempcnta \let\;tcb=\@tempcntb \newlength\csdiameter \newlength\curvelength \newlength\overhang \newlength\;x \newlength\;dx \newlength\;ddx \newlength\;y \newlength\;dy \newlength\;ddy \newlength\;pl \newlength\;ucd \let\;td=\@tempdima \let\;ytd=\@tempdimb \newsavebox{\;csbox} \newsavebox{\;pt} \newif\if;noopt \;noopttrue \newif\ifcurvewarn \curvewarntrue \newif\ifstraight \newif\if;ccn \newif\if;pt \newif\if;csym \newif\if;scnt \newhelp\;strline{curve straight from} \newhelp\m;ssingcoord{curve needs more points, add them.} \newhelp\;negdash{curvedashes needs the same sign for all arguments.} \newhelp\;oddcoord{curve requires two co-ordinates for each point, count them.} \newcommand\;linewidth[1]{} \newcommand\;startline{} \newcommand\;stopl;ne{} \newcommand\;optioncheck[2]{% \DeclareOption{#1}{% \if;noopt #2\;nooptfalse \else \PackageError{curves}{Option \CurrentOption\space ignored}{curves uses only one dvi option}% \fi }% } \newcommand\;setdisk{\@killglue \;linewidth\@wholewidth \set;pt{}\let\;stopline\;stopl;ne} \newcommand\s;tpitch{\;td\patternresolution\p@ \;psc\;td} \;optioncheck{dvips}{ \renewcommand\;linewidth[1]{\special{em:linewidth \the#1}}% \renewcommand\;startline{\special{em:moveto}}% \renewcommand\;stopl;ne{\special{em:lineto}}% } \;optioncheck{emtex}{ \renewcommand\;linewidth[1]{\special{em:linewidth \the#1}}% \renewcommand\;startline{\special{em:moveto}}% \renewcommand\;stopl;ne{\special{em:lineto}}% \renewcommand\;setdisk{\@killglue \ifdim\@halfwidth>\p@ \set;pt{\@circ\@wholewidth{112}}\;linewidth{\wd\;pt}% \s;tcirc{\unhbox\;pt}% \else \;linewidth\@wholewidth \set;pt{}\fi \let\;stopline\;stopl;ne} } \;optioncheck{xdvi}{ \special{!/;L{1 256.96 div dup scale 1 setlinecap setlinewidth newpath 0 0 moveto lineto stroke}def}% \newcount\;wc \newlength\;X \newlength\;Y \renewcommand\;linewidth[1]{\;wc#1}% \renewcommand\;startline{\global\;X\;x \global\;Y\;y}% \renewcommand\;stopl;ne{% \;tca\;X \advance\;tca-\;x \;tcb\;Y \advance\;tcb-\;y \divide\;tca\@cclvi \divide\;tcb\@cclvi \divide\;wc\@cclvi \special{"\the\;tca\space \the\;tcb\space \the\;wc\space ;L}% \;startline }% } \;optioncheck{WML}{ \renewcommand\;linewidth[1]{\special{W \the#1}}% \renewcommand\;startline{\special{M}}% \renewcommand\;stopl;ne{\special{L}}% \;nooptfalse } \let\;optioncheck\relax \ProcessOptions\relax \if;noopt \newcount\;wc \newlength\;X \newlength\;Y \newcommand\;setperiod{\;tcb \ifdim\@halfwidth>.6\p@ 17\;td.7 \else \ifdim\@wholewidth>.85\p@ 12\;td.48 \else \ifdim\@wholewidth>.6\p@ 8\else 5\fi \;td.34 \fi \fi \p@ \s;tcirc{\rm \fontseries m\fontshape n\fontsize{\the\;tcb}\p@ \selectfont \hss.}}% \renewcommand\;setdisk{\@killglue \ifdim\@halfwidth>.85\p@ \s;tcirc{\@circ{\@wholewidth}{112}}\;td\@wholewidth \divide\;td 8\advance\;td.6\p@ \ifdim\;td>\thr@@\p@\;td\thr@@\p@\fi \else \;setperiod \fi \let\;stopline\;stopl;ne}% \renewcommand\s;tpitch{\;ytd\diskpitchstretch\;td \;wc\;ytd \;td\patternresolution\p@ \;psc\;td } \renewcommand\;startline{\global\;X\;x \global\;Y\;y} \renewcommand\;stopl;ne{% \;td\;X \advance\;td-\;x \;ytd\;Y \advance\;ytd-\;y \;startline \;rxya\;td\;ytd \divide\;rc\;wc \ifnum\;rc>\z@ \advance\;rc\@ne \divide\;td\;rc \divide\;ytd\;rc \;y\z@ \advance\;rc\m@ne \;tca\;rc \let\n;xt\;ls \;ls \kern-\;rc\;td \fi} \newcommand\;ls{\advance\;y\;ytd \kern\;td \raise\;y\copy\;pt \advance\;tca\m@ne \ifnum\;tca=\z@ \let\n;xt\relax \fi \n;xt} \fi \newcommand\arc[1][0]{\;arc[#1]} \newcommand\;arc{} \def\;arc[#1](#2,#3)#4{\;setpoint{#1}\scaleput(#2,#3){\;ddx -#3\unitlength \;ddy#2\unitlength \;firstpoint \;td#4\p@ \;drwarc}} \def\bezier#1)#2(#3)#4({\@bezier#1)(#3)(} \def\@bezier#1(#2,#3)(#4,#5)(#6,#7){\;dx#4\unitlength \;ddx-\;dx \advance\;dx-#2\unitlength \advance\;ddx#6\unitlength \;dy#5\unitlength \;ddy-\;dy \advance\;dy-#3\unitlength \advance\;ddy#7\unitlength \;setpoint{#1}\scaleput(#2,#3){\;firstpoint \;bezier}} \newcommand\bigcircle[2][0]{\;setpoint{#1}\;dx\unitlength \global\divide\unitlength\tw@ \scaleput(#2,0){\;startline \;ddx\z@ \;ddy#2\unitlength \global\unitlength\;dx \;td360\p@ \;drwarc}} \newcommand\closecurve[1][0]{\;closecurve[#1]} \newcommand\;closecurve{} \def\;closecurve[#1](#2){\;coordn\closecurve\thr@@{#2}{#1}% \if;ccn\scaleput(\;xb,\;yb){\;startline \edef\;ci{\;xa,\;ya,#2,\;xb,\;yb,\;xc,\;yc}% \advance\;cc\thr@@ \;tagcurve\;ci}\fi} \newcommand\curve[1][0]{\;curve[#1]} \newcommand\;curve{} \def\;curve[#1](#2){\;coordn\curve\tw@{#2}{#1}% \if;ccn \scaleput(\;xa,\;ya){\;firstpoint \ifnum\;cc=\tw@ \;slbezd \;slbez \else \;scbezd\;dx\;ddx\;xa\;xb\;xc \;scbezd\;dy\;ddy\;ya\;yb\;yc \;bezier \;tagcurve{#2}\ifnum\;cc>6\;endcurve\fi \fi}\fi} \newcommand\;scbezd[5]{\;slcd#2#3#5\divide#24\;slcd#1#3#4\advance#1-#2} \newcommand\;xa{} \newcommand\;xb{} \newcommand\;xc{} \newcommand\;ya{} \newcommand\;yb{} \newcommand\;yc{} \newcommand\;ci{} \newcommand\curvesymbol[1]{\def\;curvesymbol{#1}\ch;ckcs \global\sbox\;csbox{#1}\csdiameter\wd\;csbox} \newcommand\;curvesymbol{} \def\;curvesymbol{} \newcommand\curvedashes[2][\unitlength]{\;ucd#1\def\;icurvedashes{#2}% \;ccnfalse \;pl\z@ \@for \;ci:=#2\do{\ifdim\;ci\;ucd<\z@ \;ccntrue \PackageError{curves}{\string \curvedashes\space sign bad at \;ci\MessageBreak}{\the\;negdash}% \else \advance\;pl\;ci\;ucd \fi}\if;ccn\;pl\z@\fi} \newcommand\;icurvedashes{} \newcommand\tagcurve[1][0]{\;tgcrv[#1]} \newcommand\;tgcrv{} \def\;tgcrv[#1](#2){\;coordn\tagcurve\thr@@{#2}{#1}\if;ccn \scaleput(\;xb,\;yb){\;firstpoint \;tagcurve{#2}}\fi} \newcommand\scaleput{} \long\def\scaleput(#1,#2)#3{\@killglue \;td#2\unitlength \raise\yscale\;td \hbox to \z@{\kern\xscaley\;td \;td#1\unitlength \kern\xscale\;td \raise\yscalex\;td \hbox{#3}\hss}\ignorespaces} \newcommand\xscale{\@ne} \newcommand\xscaley{0} \newcommand\yscale{\@ne} \newcommand\yscalex{0} \newcommand\diskpitchstretch{\@ne} \newcommand\patternresolution{\@ne} \newcommand\;firstpoint{\;startline \ifdim\;pl=\z@\;point\relax\fi} \newcommand\;drwarc{\;cc\;td \;np\;td \;td23\p@ \divide\;cc\;td \;abs\;cc \advance\;cc\@ne \;pns\p@ \divide\;pns\tw@ \divide\;np\;cc \;rc\;np \divide\;rc\;pns \;abs\;rc \advance\;rc\@ne \divide\;np\;rc \multiply\;np\;pns \divide\;np14668 % \multiply\;np\;rc \divide\;np\@cclvi \;scp\p@ \multiply\;scp\@cclvi \;t\;pns \;csi\;csi\;csi\;csi \;rxya\;ddx\;ddy \divide\;rc\p@ \advance\;rc\@ne \;rtc\;rc \advance\;rc\;rc \;ndd\;ddx \;ndd\;ddy \;csi \;rxya\;ddx\;ddy \divide\;rc\;pns \advance\;rc\@ne \@whilenum\;cc>\z@ \do{\advance\;cc\m@ne \;dx\;ddx \;dy\;ddy \divide\;ddx\;rc \divide\;ddy\;rc \;td\;ddx \;ddx\;t\;td \advance\;ddx-\;np\;ddy \;ddy\;t\;ddy \advance\;ddy\;np\;td \divide\;ddx\;pns \divide\;ddy\;pns \;ddx\;rc\;ddx \;ddy\;rc\;ddy {\;bezier \global\;td\;x \global\;ytd\;y \global\;tca\;overhang}\;y\;ytd \;x\;td \;overhang\;tca}} \newcommand\;ndd[1]{\divide#1\;rc \multiply#1\;np \divide#1\;t #1\;rtc#1} \newcommand\;csi{\;tcb\;np \multiply\;np\;t \divide\;np\;pns \;t\;tcb \multiply\;t\;t \divide\;t-\;scp \advance\;t\;pns \divide\;scp4 } \newcommand\;coordn[4]{\;setpoint{#4}\ifx#1\closecurve\;cc\tw@ \else\;cc\z@\fi \@for\;ci:=#3\do{\advance\;cc\@ne \ifcase\;cc \or \;d;f\;xa \or \;d;f\;ya \or \;d;f\;xb \or \;d;f\;yb \or \;d;f\;xc \or \;d;f\;yc \fi \ifx#1\closecurve\ifodd\;cc \;d;f\;xa \else \;d;f\;ya \fi\fi}% \;ccnfalse \ifx#1\closecurve \advance\;cc-\tw@ \fi \ifodd\;cc \PackageError{curves}{\string #1\space points odd}{\the\;oddcoord}% \else \divide\;cc\tw@ \ifnum#2>\;cc \PackageError{curves}{\string #1\space needs \the#2 points\MessageBreak}{\the\m;ssingcoord}% \else \;ccntrue \fi\fi} \newcommand\;setpoint[1]{\curvelength\z@ \let\;stopline\relax \def\;point##1{\raise\;y\hbox{{\copy\;pt##1}}}\ch;ckcs \ifnum#1=\z@\;scntfalse\else\;scnttrue\fi \;sc#1\relax \;abs\;sc \;psc\;sc \ifdim\;pl>\z@ \;overhang\overhang \ifnum\;overhang=\z@\else \;np\;overhang \divide\;np\;pl \multiply\;np\;pl \ifnum\;overhang<\z@ \advance\;overhang\;pl \else \ifnum\;overhang=\;np\advance\;overhang\;pl\fi \fi \advance\;overhang-\;np \fi \if;csym \if;scnt\;setdisk\else\;setsymbol\fi \else \;setdisk \fi\s;tpitch \else\ifnum#1>\z@ \s;tcirc{\hss\vrule\@height\@wholewidth\@width\@wholewidth}% \else\ifnum#1<\z@ \if;csym\;setsymbol\else\set;pt{}\fi \else\;setdisk\s;tpitch \fi\fi\fi \;x\z@ \;y\dp\;pt \advance\;y-\ht\;pt \divide\;y\tw@} \newcommand\;setsymbol{\s;tcirc{\hss\unhcopy\;csbox}% \edef\;point{\;point\relax \s;tcirc{\hss\noexpand\;curvesymbol}\global\setbox\;csbox\copy\;pt}} \newcommand\;stopline{} \newcommand\;point{} \newcommand\ch;ckcs{\ifx\;curvesymbol\@empty\;csymfalse \else\;csymtrue\fi} \newcommand\s;tcirc[1]{\set;pt to\z@{#1\hss}} \newcommand\set;pt{\global\setbox\;pt\hbox} \newcommand\;endcurve{\;ecbezd\;dx\;ddx\;xa\;xb\;xc \;ecbezd\;dy\;ddy\;ya\;yb\;yc \;bezier} \newcommand\;ecbezd[5]{\;slcd#1#3#5\divide#14 #2-#1\advance#2#5\unitlength \advance#2-#4\unitlength} \newcommand\;tagcurve[1]{\ifnum\;cc=\thr@@ \;endcurve \else \;cc\z@ \@for\;ci:=#1\do{\advance\;cc\@ne \ifnum\;cc>6 % \ifodd\;cc \;slcd\;dx\;xa\;xc \let\;xa\;xb \let\;xb\;xc \;d;f\;xc \else \t;gcrv \fi \fi}\fi} \newcommand\t;gcrv{\;slcd\;dy\;ya\;yc \let\;ya\;yb \let\;yb\;yc \;d;f\;yc \;rxy\;dx\;dy \divide\;dx\;rtc \divide\;dy\;rtc \;ddx-\;ya\;dx \advance\;ddx\;xa\;dy \;ddy\;ddx \advance\;ddx\;yb\;dx \advance\;ddx-\;xb\;dy \advance\;ddy\;yc\;dx \advance\;ddy-\;xc\;dy \;slbezd \;td\;ddy \divide\;td\@m \ifdim\;td=\z@ \ifcurvewarn \PackageWarning{curves}{\the\;strline\MessageBreak \;xa,\;ya\space to \;xb,\;yb\MessageBreak}\fi \;slbez \else \;td\unitlength \;rtc\;td \advance\;rtc\;rtc \divide\;rtc\p@ \advance\;rtc\@ne \divide\;td\;rtc \;t\;ddx \;scp\;t \;abs\;t \advance\;t\;t \divide\;t\p@ \advance\;t\@ne \divide\;scp\;t \multiply\;td\;scp \divide\;td\;ddy \multiply\;td\;rtc \multiply\;td\;t \;ddx\;xc\;td \advance\;ddx-\;xa\;td \advance\;dx-\;ddx \;ddy\;yc\;td \advance\;ddy-\;ya\;td \advance\;dy-\;ddy \;bezier \fi} \newcommand\;d;f[1]{\edef#1{\;ci}} \newcommand\;slbezd{\;slcd\;dx\;xa\;xb \;slcd\;dy\;ya\;yb} \newcommand\;slcd[3]{#1#3\unitlength \advance#1-#2\unitlength} \newcommand\;slbez{\divide\;dx\tw@ \;ddx\;dx \divide\;dy\tw@ \;ddy\;dy \;bezier} \newcommand\;bezier{\ifstraight \av;d\;dx\;ddx \av;d\;dy\;ddy \fi \;scale\;dx\;dy \;scp\;rc \;scale\;ddx\;ddy \advance\;scp\;rc \;bezc\;dx\;ddx \;bezc\;dy\;ddy \;rxy\;ddx\;ddy \divide\;rc\p@ \advance\;rc\thr@@ \;tc\;rc \ifnum\;rc>\sixt@@n\;rc\sixt@@n\fi \;rroot\;rroot\;rroot\;rroot \;t\;rc \;rxy\;dx\;dy \advance\;rc\;scp \divide\;rc\thr@@ \global\advance\curvelength\;rc sp\;mcnd\@ne \ifdim\;pl>\z@ \;np\;rc \divide\;np\;psc \ifnum\;t<\;np \;mcnd\;np \divide\;mcnd\;t \divide\;np\;mcnd \multiply\;np\;mcnd \;t\;np \fi \fi \if;scnt \ifdim\;pl=\z@ \;t\;sc \else \;np \if;csym \;rc \divide\;np\;sc \advance\;np-\csdiameter \;td\;pl \divide\;td\tw@ \advance\;np\;td \divide\;np\;pl \ifnum\;np<\@ne\;np\@ne\fi \multiply\;np\;sc \else \;sc \fi \advance\;t\;np \divide\;t\;np \multiply\;t\;np \fi \fi \;rtc\;t \divide\;rtc\;mcnd \;tcb\;rtc \multiply\;tcb\;t \advance\;rtc\m@ne \multiply\;rtc\;t \;tc\;t \advance\;tc\;tc \;bezd\;dx\;ddx \;bezd\;dy\;ddy \ifdim\;pl>\z@ \;dashes \else \let\n;xt\;spoints \;spoints \fi} \newcommand\av;d[2]{\advance#1#2\divide#1\tw@#2#1} \newcommand\;scale[2]{\;td\xscale#1\advance\;td\xscaley#2% #2\yscale#2\advance#2\yscalex#1#1\;td \;rxy#1#2} \newcommand\;bezc[2]{\advance#1#1\advance#2#2% \;td#2\advance#2-#1\advance#1\;td} \newcommand\;bezd[2]{\divide#2\;tcb \;td#2\multiply\;td\;rtc \advance#1-\;td \divide#1\;tc} \newcommand\;spoints{\advance\;y\;dy \advance\;x\;dx \kern\;dx \;point\;stopline \advance\;t\m@ne \ifnum\;t>\z@ \advance\;dx\;ddx \advance\;dy\;ddy \else \let\n;xt\relax \fi \n;xt} \newcommand\;rxy[2]{\;rxya#1#2% \ifnum\;rc>\z@ \;rtc\;rc \advance\;rtc\;rtc \divide\;rtc\p@ \ifnum\;rtc>\z@ \advance\;rtc\@ne \divide\;tc\;rtc \divide\;tcb\;rtc \divide\;rc\;rtc \else \;rtc\@ne \fi \multiply\;tc\;tc \multiply\;tcb\;tcb \advance\;tc\;tcb \;rroot\;rroot \multiply\;rc\;rtc \fi} \newcommand\;rxya[2]{\;tc#1\;abs\;tc \;tcb#2\;abs\;tcb \ifnum\;tc>\;tcb \;rc\;tcb \;tcb\;tc \;tc\;rc \fi \;rc\;tc \divide\;rc\thr@@ \advance\;rc\;tcb } \newcommand\;abs[1]{\ifnum#1<\z@ #1-#1\fi} \newcommand\;rroot{\;tcb\;tc \divide\;tcb\;rc \advance\;rc\;tcb \divide\;rc\tw@} \newcommand\;dashes{\let\;ticd\;icurvedashes \let\;tucd\;ucd \divide\;rc\;t \;rtc\;t \;tc\;rc \advance\;tc\csdiameter \divide\;tc\;rc \divide\;tc\tw@ \;t\;tc \multiply\;tc\tw@ \;ptfalse \;cnd\;mcnd \;pbs\;rc \divide\;pbs\tw@ \advance\;overhang\;pbs \divide\;overhang-\;rc \if;scnt \;scdashes \else \;nscdashes \fi \multiply\;overhang\;rc} \newcommand\;scdashes{\;pbs\;rtc \divide\;pbs\;sc \;ccss \;scp \if;csym \;pl \multiply\;scp\;np \divide\;scp\;sc \advance\;pbs-\;tc \else \;pbs \multiply\;scp\;rc \fi \;np\;overhang \;overhang\z@ \divide\;scp\;pbs \;tcb\z@ \;pns\;t \;dash \;overhang\;np \if;csym\else \advance\;overhang-\;tcb \advance\;rtc-\;tcb \advance\;pbs-\;tc \fi \;pns\;pbs \advance\;pns-\;np \if;csym\else\advance\;pns\;tcb\fi \@whilenum\;rtc>\z@\do{\;pdashes \;ptfalse \;t\;tc \;pns\;t \;dash \;pns\;pbs \;overhang\if;csym\;np\else-\;overhang\fi \advance\;pns-\;overhang}\;overhang-\if;csym\;np\else\;overhang \;ptfalse \;t\;tc \;tcb\;overhang \divide\;t\tw@ \;rtc\;t \;pns\;t \;dash \fi} \newcommand\;nscdashes{\advance\;pbs\;pl \divide\;pbs\;rc \if;csym \;bpdashes \fi \;ccss \;pns\;t \;dash \advance\;pbs-\;tc \;scp\;pl \divide\;scp\;pbs \;pns\;pbs \@whilenum\;rtc>\z@\do{\;pdashes \;ptfalse \;t\;tc \;pns\;t \;dash \;pns\;pbs}% \if;csym \else \divide\;tc\tw@ \advance\;overhang\;tc \fi} \newcommand\;ccss{\ifnum\;pbs>\;tc\else \;bpdashes \fi} \newcommand\;bpdashes{\let\;tucd\;pl \let\;ticd\;ricd \;tc\z@ \;t\z@} \newcommand\;ricd{1,0} \newcommand\;pdashes{\ifnum\;pns>\z@ \;td\z@ \;tcb\z@ \;ptfalse \@for\;ci:=\;ticd \do{\advance\;td\;ci\;tucd \;t\;scp \divide\;t\tw@ \advance\;t\;td \divide\;t\;scp \advance\;t-\;tcb \;dash \if;pt\;ptfalse\else\;pttrue\fi}% \let\n;xt\;pdashes \else \let\n;xt\relax \fi \n;xt} \newcommand\;dash{\ifnum\;t=\z@ \if;csym \ifnum\;rtc>\z@ \if;pt\;point\;startline\fi \fi \fi \else \advance\;tcb\;t \advance\;pns-\;t \ifnum\;overhang<\z@ \advance\;overhang\;t \;t \ifnum\;overhang<\z@ \z@ \else \;overhang \;overhang\;tcb \fi \else \;overhang\;tcb \fi \ifnum\;pns<\z@ \advance\;overhang\;pns \advance\;tcb\;pns \advance\;t\;pns \;pns\z@ \fi \advance\;rtc-\;t \ifnum\;rtc<\z@ \advance\;overhang\;rtc \advance\;t\;rtc\fi \ifnum\;t>\z@ \if;pt\;point\;startline\fi \let\n;xt\;points \;points \fi\fi} \newcommand\;points{\ifnum\;t<\;cnd \;tca\;t \else \;tca\;cnd \fi \advance\;y\;tca\;dy \;ytd\;tca\;dx \advance\;x\;ytd \kern\;ytd \if;pt\;point\;stopline\fi \ifnum\;t<\;cnd \let\n;xt\relax \advance\;cnd-\;t \else \advance\;t-\;cnd \advance\;dx\;ddx \advance\;dy\;ddy \;cnd\;mcnd \fi \n;xt} \catcode`\;=12 \endinput %% %% End of file `curves.sty'.