% curvesls.sty version 1.40 for LaTeX 2.09 and LaTeX2e.
% I.L. Maclaine-cross, The University of New South Wales.
% Internet: [email protected]
\typeout{Document Style Option `curvesls' <20 August 1995>}
% Draws curves in LaTeX picture environment using parabolas between points
% with continuous slope at points. Equivalent to technical pens with
% compasses and French curves.
% A Command Summary is at the end of this file.
% Make `;' appear like a letter so control sequences can use it and they
% will not be accidently used by other macro packages.
\catcode`\;=11
% DRIVER SPECIFIC COMMANDS
% These are not required by curves.sty a companion macro package
% which is slower and requires more TeX memory.
% Requires the dvi driver have the following three line drawing \specials
% which draw straight lines rectangular at both ends. curvesls.sty adds a
% circle of appropriate size to smooth junctions and round ends.
% If these are unavailable use the slower curves.sty with more TeX memory.
% The \special text in the following three commands is for emTeX's dvi drivers:
% before drawing every line sets the driver's straight line width
% to dimen #1;
\newcommand\;linewidth[1]{\special{em:linewidth \the#1}}
% sets driver page position to current TeX page position;
\newcommand\;startline{\special{em:moveto}}
% draws straight line from last driver position to current TeX position and
% then resets driver position to current TeX page position.
\newcommand\;stopl;ne{\special{em:lineto}}
% To use other dvi drivers which draw straight lines like emTeX, alter the
% above three commands to make their function the same as described above.
% The manual for Tomas Rokicki's DVIPS version 5.515 for the IBM PC says
% that this PostScript driver supports the above emTeX \specials. This style
% file works unmodified with Rokicki's driver when the emTeX specials are
% compiled in.
\newcount\;sc % number of symbols on Bezier segment
\newcount\;scp
\newcount\;t
\newcount\;cc % coordinate count
\newcount\;cnd % actual point count to next dot
\newcount\;mcnd % maximum point count to next dot
\newcount\;np
\newcount\;overhang
\newcount\;pbs
\newcount\;pns
\newcount\;psc % maximum dot spacing on line in sp.
\newcount\;rc
\newcount\;rtc
\newcount\;tc
\let\;tca=\@tempcnta
\let\;tcb=\@tempcntb
\newdimen\csdiameter \csdiameter\z@
\newdimen\curvelength
\newdimen\overhang \overhang\z@
\newdimen\;dx
\newdimen\;ddx
\newdimen\;dy
\newdimen\;ddy
\newdimen\;pl \;pl\z@
\newdimen\;ucd
\newdimen\;y
\let\;td=\@tempdima
\let\;ytd=\@tempdimb
\newsavebox{\;csbox}
\newsavebox{\;pt}
\newif\ifcurvewarn \curvewarntrue % Warn about curve problems
\newif\if;ccn % coordinate number correct
\newif\if;pt % plot points if true
\newif\if;csym % curve symbol defined
\newif\if;scnt % symbol or pattern count <>0
\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\arc{\@ifnextchar[\;arc{\;arc[0]}}
\newcommand\;arc{}
\def\;arc[#1](#2,#3)#4{\;setpoint{#1}\scaleput(#2,#3){\;ddx-#3\unitlength
\;ddy#2\unitlength \;firstpoint \;td#4\p@ \;drwarc}}
% Redefines version in LaTeX 2e of 1 June 1994.
\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{\@ifnextchar[\;bgcrcl{\;bgcrcl[0]}}
\newcommand\;bgcrcl{}
\def\;bgcrcl[#1]#2{\;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{\@ifnextchar[\;closecurve{\;closecurve[0]}}
\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{\@ifnextchar[\;curve{\;curve[0]}}
\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\setbox\;csbox\hbox{#1}\csdiameter\wd\;csbox}
\newcommand\;curvesymbol{} \def\;curvesymbol{}
\newcommand\curvedashes{\@ifnextchar[\;crvdshs{\;crvdshs[\unitlength]}}
\newcommand\;crvdshs{}
\def\;crvdshs[#1]#2{\;ucd#1\def\;icurvedashes{#2}\;ccnfalse \;pl\z@
\@for \;ci:=#2\do{\ifdim\;ci\;ucd<\z@ \;ccntrue \@latexerr{\string
\curvedashes\space sign bad at \;ci}{\the\;negdash ^^J\@eha}%
\else \advance\;pl\;ci\;ucd \fi}\if;ccn\;pl\z@\fi}
\newcommand\;icurvedashes{}
\newcommand\diskpitchstretch{\@ne}
\newcommand\tagcurve{\@ifnextchar[\;tgcrv{\;tgcrv[0]}}
\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}
% Plot first point if any.
\newcommand\;firstpoint{\;startline \ifdim\;pl=\z@\;point\relax\fi}
% Calculates segment count, sine, cosine and differences then plots segments.
\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 \;rxy\;ddx\;ddy \divide\;rc\p@
\advance\;rc\@ne \;rtc\;rc \advance\;rc\;rc \;ndd\;ddx \;ndd\;ddy
\;csi \;rxy\;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\;ytd\;y \global\;tca\;overhang}\;y\;ytd \;overhang\;tca}}
\newcommand\;ndd[1]{\divide#1\;rc \multiply#1\;np \divide#1\;t #1\;rtc#1}
% Cosine and sine half angle iteration.
\newcommand\;csi{\;tcb\;np \multiply\;np\;t \divide\;np\;pns \;t\;tcb
\multiply\;t\;t \divide\;t-\;scp \advance\;t\;pns \divide\;scp4 }
% Count the number of co-ordinate specified and warns if incorrect.
\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 \@latexerr{\string #1\space points odd}{\the\;oddcoord ^^J\@eha}%
\else \divide\;cc\tw@
\ifnum#2>\;cc \@latexerr{\string #1 needs \the#2 points}%
{\the\m;ssingcoord ^^J\@eha}%
\else \;ccntrue \fi\fi}
% Sets symbol, character or disk depending on how line is to be plotted.
% Corrects overhang to be positive or zero but no greater than \;pl.
\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 \;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\s;tpitch{\;td\diskpitchstretch\p@ \;psc\;td}
\newcommand\;stopline{} \newcommand\;point{}
% Sets LaTeX disk character and thickness.
\newcommand\;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}
% Check if curvesymbol exists and set switch.
\newcommand\ch;ckcs{\ifx\;curvesymbol\@empty\;csymfalse\else\;csymtrue\fi}
% Makes zero width box \;pt of point
\newcommand\s;tcirc[1]{\set;pt to\z@{#1\hss}}
% Set global box \;pt
\newcommand\set;pt{\global\setbox\;pt\hbox}
% Plots last segment of curve from coordinates already read.
\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}
% Reads coordinates of four points before going to difference calculation.
\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}
% Calculates differences over whole segment from four points.
\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
\@warning{\the\;strline \;xa,\;ya\space to \;xb,\;yb}\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}
% Avoid repeating {\;ci}
\newcommand\;d;f[1]{\edef#1{\;ci}}
\newcommand\;slbezd{\;slcd\;dx\;xa\;xb \;slcd\;dy\;ya\;yb}
% Calculates difference between two coordinates.
\newcommand\;slcd[3]{#1#3\unitlength \advance#1-#2\unitlength}
% Calculates differences for bezier straight line.
\newcommand\;slbez{\divide\;dx\tw@ \;ddx\;dx \divide\;dy\tw@ \;ddy\;dy \;bezier}
% Scales segment differences, then calculates segment pattern and disk count,
% and initial disk differences; selects line or dashes.
\newcommand\;bezier{\;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 \;sroot\;sroot\;sroot \;t\;rc \;mcnd\@ne \;rxy\;dx\;dy
\advance\;rc\;scp \divide\;rc\thr@@ \global\advance\curvelength\;rc sp%
\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\;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}
% Plots a continuous line or equispaced squares or symbols along a segment.
\newcommand\;spoints{\advance\;y\;dy \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}
% Calculates length of vector \;rc from coordinates #1,#2
\newcommand\;rxy[2]{\;tc#1\;abs\;tc \;tcb#2\;abs\;tcb
\;rc\;tc \advance\;rc\;tcb
\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 \;sroot \multiply\;rc\;rtc \fi}
% Replaces argument by magnitude
\newcommand\;abs[1]{\ifnum#1<\z@ #1-#1\fi}
% Iteration of square root calculation by Newton's method.
\newcommand\;sroot{\;rroot\;rroot\;rroot}
\newcommand\;rroot{\;tcb\;tc \divide\;tcb\;rc \advance\;rc\;tcb \divide\;rc\tw@}
% Variable uses in \;dashes, \;scdashes, \;nscdashes, \;pdashes and \;dash.
% counts
% \;scp = distance between points.
% \;rc = length of Bezier segment.
% \;rtc = total points in Bezier segment.
% \;np = number of whole patterns in Bezier segment or scratch.
% \;overhang = of dash pattern past symbol or end of segment.
% \;pbs = total points between symbols
% \;pns = points to next symbol or dot.
% \;tc = number of points to blank for curve symbol.
% \;tcb = number of points along pattern.
% dimens
% \;pl = length of dash pattern.
% \;ucd = dash pattern unit length.
% Initializes dash plot for segment and selects symbol count alternative.
\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}
% Plots dash pattern when a nonzero symbol count is specified.
\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}
% Plots symbols at natural pattern length but shrinks pattern to fit between.
\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}
% If large symbol spaces, blank curve.
\newcommand\;ccss{\ifnum\;pbs>\;tc\else \;bpdashes \fi}
% A blank or symbol plotting dash pattern
\newcommand\;bpdashes{\let\;tucd\;pl \let\;ticd\;ricd \;tc\z@ \;t\z@}
\newcommand\;ricd{1,0}
% Reads dash pattern plotting dashes and spaces up to next symbol space.
\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}
% Checks if dash or space occurs before or after curve, calculates fractions.
\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}
% Plots a single dash or space depending on \if;pt.
\newcommand\;points{\ifnum\;t<\;cnd \let\n;xt\relax
\advance\;cnd-\;t \advance\;y\;t\;dy \kern\;t\;dx
\else \advance\;t-\;cnd \advance\;y\;cnd\;dy \kern\;cnd\;dx
\advance\;dx\;ddx \advance\;dy\;ddy \;cnd\;mcnd
\fi \if;pt\;point\;stopline\fi \n;xt}
% Make `;' a punctuation mark again.
\catcode`\;=12
\endinput
MODIFICATION HISTORY
--------------------
curves.sty 1.0 26 June 1991
curves.sty 1.1 8 Jan 1992 large \diskpitchstretch and maximum integer=2^30 - 1.
curvesls.sty 1.0 21 Mar 1993 draw lines using emTeX dvidriver \special's.
1.1 23 April, 1993 corrected for large \curves and 2nd differences.
1.14 29 April, 1993 Alignment of spaces improved in \@nscdashes, \overhang
normalized.
1.15 1 May, 1993 Rounding errors in \nscdashes and \pdashes improved.
1.16 8 May, 1993 Reduced .dvi size and dots corrected.
1.2 23 May, 1993 Variable curve symbol introduced.
1.21 8 June, 1993 \unitlength corrected in \bigcircle.
1.22 15 June, 1993 \csb@x saves curve symbol, dash pattern selection rounded.
1.23 18 June, 1993 extra \@killglue and curve smoothing, test for
bad point order tightened. 1st network release.
2517 words of TeX main memory.
1.30 9 July 1993 2nd network release.
Bugs Fixed:
Blank curve if \csdiameter too large;
Transfer of \@y and \@overhang from inner loop of \@drwarc;
Missing \pt@false in \@ncsdashes and \@pdashes;
Check for zero \@np in \@bezier.
Improvements (?):
New internal macros to save tokens;
Uses LaTeX error messages and warnings;
Checks \curvedashes signs;
Potential conflicts with other macros reduced with new \@y, \@tc;
Warns more readily and replaces possible inflexions with straight line;
Some internal variable names rationalized.
2489 words of TeX main memory.
1.32 14 June 1994 3rd network release tested with LaTeX 2e of February 1994.
1.33 28 June 1994 4th network release tested with LaTeX 2e of 1 June 1994.
Redefines \bezier from June LaTeX 2e.
\@bezier renamed to \@Vbezier to avoid conflict with June LaTeX 2e.
1.40 20 August 1995 5th network release tested with LaTeX 2e of 1 June 1995.
Bug Fixed: Dashed curves use straight segments to reduce rounding error.
Improvements:
\curvewarnfalse stops warning of straight line use between points;
; catcoded to character to protect internal names;
New internal macros save tokens and increase speed;
1772 nett extra words of TeX main memory (LaTeX 2e 1995/6/1 pl1).
CURVESLS SUMMARY
----------------
The commands following are for the picture environment in the LaTeX manual.
Arguments of Commands:
<blank length> decimal number of <unit len> blank. Not negative.
<character or symbol> is anything which a \put or \multiput may plot.
<coordinates> are decimal numbers giving alternate x and y coordinates of
the curve as multiples of \unitlength, comma separated.
<[,dash...]> optional continuation of alternating dash and blank numbers
of unit lengths, comma separated. Not negative. Decimals allowed.
<diameter> is a decimal number giving the diameter in \unitlengths.
<symbol count> is the number of symbols or patterns to be plotted, default 0.
<unit len> unit length dimension e.g., 2.5mm, 10pt, used in measuring
blanks and dashes. Not negative. Default value is \unitlength.
Lengths used by Commands:
\csdiameter is the size of the space left for a symbol and can be
increased or set with \settowidth{\csdiameter}{<character or symbol>}.
\curvelength is the total length of the curve calculated before drawing
by using Simpson's rule once between each pair of coordinate points.
\overhang length of as drawn dash pattern overlapping start of dashes.
Control Commands:
\curvewarntrue warns every time a straight line is used between points
to avoid possible worse errors (default).
\curvewarnfalse use the straight line without warning.
Parameter Setting Commands:
\curvesymbol{<character or symbol>} sets symbol and \csdiameter.
\curvedashes[<unit len>]{<blank length><[,dash...]>} Drawing commands before a
\curvedashes or after one with an empty or zero length pattern will draw:
if <symbol count> is zero or missing, a continuous curve;
else if <symbol count> is positive, <symbol count>-1 squares of line
thickness size between and additional squares at coordinates or bezier
end points;
else if no <character or symbol> exists, nothing;
else, -<symbol count>-1 characters or symbols between coordinates and
additional ones at coordinates or bezier end points.
After a \curvedashes command defining a pattern whose length exceeds
zero, commands draw:
if <symbol count> is zero or missing then at a spacing equal to the
specified pattern length,
if no <character or symbol> exists, a dash pattern reduced in length
by \csdiameter to fit between symbol spaces of \csdiameter,
else if \overhang is not 0pt, a <character or symbol> at all positions,
else a <character or symbol> with the first position blank;
else, \csdiameter wide symbol spaces, one at and |<symbol count>|-1 between
coordinate points with dash pattern lengths,
if no <character or symbol> exists, exact but broken by the spaces,
else, adjusted to give a whole number of patterns between spaces.
\diskpitchstretch is initially 1 but \renewcommand can change it to a higher
value like 5 to save memory in drafts of complex documents or a lower local
value like 0.5 to smooth curve digitization.
\linethickness{<len>} sets line or dash thicknesses to <len> from 0.5pt up to
15pt (0.17mm to 5mm). \thicklines and \thinlines also set the thickness.
\xscale, \xscaley, \yscale and \yscalex are scale factors initially set to
1, 0, 1 and 0 respectively which \renewcommand or \def can reset.
Curve Drawing Commands:
Curves drawn consist of parabolic arcs between coordinate points with
tangents at each point parallel to the straight line through adjacent points.
\arc[<symbol count>](X1,Y1){<angle>} draws a circular arc centred on current
position, starting from (X1,Y1) and proceeding counterclockwise for
<angle> degrees.
\bezier{<symbol count>}(X1,Y1)(X2,Y2)(X3,Y3) draws a curve through the points
(X1,Y1) and (X3,Y3) tangent to the straight lines joining them to (X2,Y2).
Faster and more powerful replacement for bezier.sty version.
\bigcircle[<symbol count>]{<diameter>} draws a circle of diameter equal to
<diameter> times \unitlength.
\closecurve[<symbol count>](<coordinates>) draws a closed curve with continuous
tangents at all points. At least 6 coordinates required.
\curve[<symbol count>](<coordinates>) draws a curve through the specified
<coordinates>. For 4 coordinates this is a straight line.
\scaleput(X1,Y1){<picture object>} places a picture object in a position
scaled by \xscale, \xscaley, \yscale and \yscalex for axonometric projection
or rotations.
\tagcurve[<symbol count>](<coordinates>) draws a curve without its first and
last segments but if only 6 coordinates draws the last segment only.
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