\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex,v 1.1 2005/10/25 08:18:14 tantau Exp $ % Copyright 2005 by Till Tantau . % % This program can be redistributed and/or modified under the terms % of the GNU Public License, version 2. \newdimen\pgf@path@lastx \newdimen\pgf@path@lasty % Replace corners by arcs. % % #1 = in-size of arc % #2 = out-size of arc % % Description: % % This command influences path construction command like % \pgfpathlineto or \pgfpatharc. It will cause the corners at the end % of these commands to be replaced by little arcs. If the % corner is a 90 degrees corner and if #1=#2, a quarter-circle of % radius #1 is put in place of the corner. If #1 and #2 are different, % the quarter circle will instead by a quarter ellipse. If the angle % is different from 90 degrees, a deformed quarter circle will % result, which may or may not be desirable. For a ``perfect'' arc you % must use the \pgfpatharc command. % % % Example: One rounded corner. % % \pgfpathmoveto{\pgfpointxy{0}{0}} % \pgfsetcornersarced{4pt}{4pt} % \pgfpathlineto{\pgfpointxy{0}{1}} % \pgfpathlineto{\pgfpointxy{1}{1}} % \pgfstroke % % Example: A rounded rectangle % % \pgfsetcornersarced{4pt}{4pt} % \pgfpathrectangle{\pgfpointorigin}{\pgfpoint{1cm}{1cm}} % \pgfstroke % % Example: A rounded triangles % % \pgfsetcornersarced{4pt}{4pt} % \pgfpathmoveto{\pgfpointorigin} % \pgfpathlineto{\pgfpoint{1cm}{0cm}} % \pgfpathlineto{\pgfpoint{1cm}{1cm}} % \pgfpathclose % \pgfstroke \newif\ifpgf@arccorners \def\pgfsetcornersarced#1{% \pgf@process{#1}% \edef\pgf@corner@arc{{\the\pgf@x}{\the\pgf@y}}% \pgf@arccornerstrue% \ifdim\pgf@x=0pt% \ifdim\pgf@y=0pt\relax% \pgf@arccornersfalse% \fi% \fi% } \def\pgf@roundcornerifneeded{% \ifpgf@arccorners\expandafter\pgfsyssoftpath@specialround\pgf@corner@arc\fi% } % Move current point to #1. % % #1 = new current point % % Example: % % \pgfpathmoveto{\pgfxy(0,0)} % \pgfpathlineto{\pgfxy(0,1)} % \pgfstroke \def\pgfpathmoveto#1{% \pgfpointtransformed{#1}% \pgf@protocolsizes{\pgf@x}{\pgf@y}% \pgfsyssoftpath@moveto{\the\pgf@x}{\the\pgf@y}% \global\pgf@path@lastx=\pgf@x% \global\pgf@path@lasty=\pgf@y% } \def\pgf@protocolsizes#1#2{% \ifpgf@relevantforpicturesize% \ifdim#1<\pgf@picminx\global\pgf@picminx#1\fi% \ifdim#1>\pgf@picmaxx\global\pgf@picmaxx#1\fi% \ifdim#2<\pgf@picminy\global\pgf@picminy#2\fi% \ifdim#2>\pgf@picmaxy\global\pgf@picmaxy#2\fi% \fi% \ifdim#1<\pgf@pathminx\global\pgf@pathminx#1\fi% \ifdim#1>\pgf@pathmaxx\global\pgf@pathmaxx#1\fi% \ifdim#2<\pgf@pathminy\global\pgf@pathminy#2\fi% \ifdim#2>\pgf@pathmaxy\global\pgf@pathmaxy#2\fi% } \def\pgf@resetpathsizes{% \global\pgf@pathmaxx=-16000pt\relax% \global\pgf@pathminx=16000pt\relax% \global\pgf@pathmaxy=-16000pt\relax% \global\pgf@pathminy=16000pt\relax% } \def\pgf@getpathsizes#1{% \edef#1{{\the\pgf@pathmaxx}{\the\pgf@pathminx}{\the\pgf@pathmaxy}{\the\pgf@pathminy}}% } \def\pgf@setpathsizes#1{% \expandafter\pgf@@setpathsizes#1% } \def\pgf@@setpathsizes#1#2#3#4{% \global\pgf@pathmaxx=#1\relax% \global\pgf@pathminx=#2\relax% \global\pgf@pathmaxy=#3\relax% \global\pgf@pathminy=#4\relax% } % Append a line from the current point to #1 to the current path. % % #1 = end of line % % Example: % % \pgfpathmoveto{\pgfxy(0,0)} % \pgfpathlineto{\pgfxy(0,1)} % \pgfstroke \def\pgfpathlineto#1{% \pgfpointtransformed{#1}% \pgf@protocolsizes{\pgf@x}{\pgf@y}% \pgf@roundcornerifneeded% \pgfsyssoftpath@lineto{\the\pgf@x}{\the\pgf@y}% \global\pgf@path@lastx=\pgf@x% \global\pgf@path@lasty=\pgf@y% } % Close the current path. % % Example: % % % Draws two triangles % \pgfpathmoveto{\pgfxy(0,0)} % \pgfpathlineto{\pgfxy(0,1)} % \pgfpathlineto{\pgfxy(1,0)} % \pgfclosepath % \pgfpathmoveto{\pgfxy(2,0)} % \pgfpathlineto{\pgfxy(2,1)} % \pgfpathlineto{\pgfxy(3,0)} % \pgfpathclose % \pgfstroke \def\pgfpathclose{% \pgf@roundcornerifneeded% \pgfsyssoftpath@closepath% } % Append a bezier spline from the current point to #3 with control % points #1 and #2 to the current path. % % #1 = first control point % #2 = second control point % #3 = end point % % Example: % % \pgfpathmoveto{\pgfxy(0,0)} % \pgfpathcurveto{\pgfxy(0,1)}{\pgfxy(1,1)}{\pgfxy(1,2)} % \pgfstroke \def\pgfpathcurveto#1#2#3{% \pgfpointtransformed{#3}% \pgf@protocolsizes{\pgf@x}{\pgf@y}% \pgf@xb=\pgf@x% \pgf@yb=\pgf@y% \pgfpointtransformed{#2}% \pgf@protocolsizes{\pgf@x}{\pgf@y}% \pgf@xa=\pgf@x% \pgf@ya=\pgf@y% \pgfpointtransformed{#1}% \pgf@protocolsizes{\pgf@x}{\pgf@y}% \pgf@roundcornerifneeded% \pgfsyssoftpath@curveto{\the\pgf@x}{\the\pgf@y}{\the\pgf@xa}{\the\pgf@ya}{\the\pgf@xb}{\the\pgf@yb}% \global\pgf@path@lastx=\pgf@xb% \global\pgf@path@lasty=\pgf@yb% } % Append an arc to the current point, where the current point is at % angle #1 and the end is at angle #2. If #2 > #1, the arc is drawn % counter-clockwise, otherwise it is clockwise. % % #1 = angle of first point % #2 = angle of second point % #3 = radius or x-radius/y-radius % % Example: % % \pgfpathmoveto{\pgfxy(0,0)} % \pgfpatharc{0}{90}{2cm} % \pgfstroke \def\pgfpatharc#1#2#3{% \pgf@setcounter{pgf@countc}{#1}% \pgf@setcounter{pgf@countd}{#2}% \ifnum\c@pgf@countc>360\relax% \advance\c@pgf@countc by-360\relax% \fi% \ifnum\c@pgf@countc<-360\relax% \advance\c@pgf@countc by360\relax% \fi% \ifnum\c@pgf@countd>360\relax% \advance\c@pgf@countd by-360\relax% \fi% \ifnum\c@pgf@countd<-360\relax% \advance\c@pgf@countd by360\relax% \fi% \loop% \@tempcnta=\c@pgf@countc\relax% \advance\@tempcnta by-\c@pgf@countd\relax% \ifnum\@tempcnta<0\relax% \@tempcnta=-\@tempcnta\relax% \fi% \ifnum\@tempcnta>90\relax% \ifnum\c@pgf@countd>\c@pgf@countc\relax% \@tempcnta=\c@pgf@countc\relax% \advance\@tempcnta by 90\relax% \expandafter\pgf@arc\expandafter{\expandafter\c@pgf@countc\expandafter}\expandafter{\the\@tempcnta}{#3}% \advance\c@pgf@countc by 90\relax% \else \@tempcnta=\c@pgf@countc\relax% \advance\@tempcnta by -90\relax% \expandafter\pgf@arc\expandafter{\expandafter\c@pgf@countc\expandafter}\expandafter{\the\@tempcnta}{#3}% \advance\c@pgf@countc by -90\relax% \fi% \repeat% \pgf@roundcornerifneeded% \pgf@arc{\c@pgf@countc}{\c@pgf@countd}{#3}% } \def\pgf@arc#1#2#3{% \in@/{#3}% \ifin@% \pgf@@arc{#1}{#2}#3\@@% \else \pgf@@arc{#1}{#2}#3/#3\@@% \fi% } \def\pgf@@arc#1#2#3/#4\@@{% \setlength{\@tempdima}{#3}% \setlength{\@tempdimb}{#4}% \@tempcnta=#1\relax% \@tempcntb=#2\relax% \advance\@tempcntb by-\@tempcnta\relax% \ifnum\@tempcntb<0\relax% \@tempcntb=-\@tempcntb\relax% \fi% \ifnum\@tempcntb>85\relax% hackery to correct the control points \@tempdima=0.0555\@tempdima\relax% \@tempdimb=0.0555\@tempdimb\relax% \else% \ifnum\@tempcntb>75\relax% \@tempdima=0.055\@tempdima\relax% \@tempdimb=0.055\@tempdimb\relax% \else% \ifnum\@tempcntb>60\relax% \@tempdima=0.0545\@tempdima\relax% \@tempdimb=0.0545\@tempdimb\relax% \else% \@tempdima=0.054\@tempdima\relax% \@tempdimb=0.054\@tempdimb\relax% \fi% \fi% \fi \@tempdima=\@tempcntb\@tempdima\relax% \divide\@tempdima by 9\relax% \@tempdimb=\@tempcntb\@tempdimb\relax% \divide\@tempdimb by 9\relax% %.. controls +(\@tempcnta+90:\@tempdima) and +(\@tempcntb-90:\@tempdima) .. +(-(#1:#3)+(#2:#3))% % store first support vector in xa/ya: \@tempcnta=#1\relax% \ifnum#2>#1\relax% \advance\@tempcnta by 90\relax% \else% \advance\@tempcnta by -90\relax% \fi% \pgfpointtransformed{\pgfpointpolar{\@tempcnta}{\@tempdima/\@tempdimb}}% \advance\pgf@x by-\pgf@pt@x% \advance\pgf@y by-\pgf@pt@y% \pgf@xa=\pgf@path@lastx% \pgf@ya=\pgf@path@lasty% \advance\pgf@xa by \pgf@x% \advance\pgf@ya by \pgf@y% % store target in xb/yb: \@tempcnta=#1\relax% \pgfpointtransformed{\pgfpointpolar{\@tempcnta}{#3/#4}}% \pgf@xb=\pgf@path@lastx% \pgf@yb=\pgf@path@lasty% \advance\pgf@xb by -\pgf@x% \advance\pgf@yb by -\pgf@y% \@tempcnta=#2\relax% \pgfpointtransformed{\pgfpointpolar{\@tempcnta}{#3/#4}}% \advance\pgf@xb by \pgf@x% \advance\pgf@yb by \pgf@y% % store second support xc/yc: \@tempcnta=#2\relax% \ifnum#2>#1\relax% \advance\@tempcnta by -90\relax% \else% \advance\@tempcnta by 90\relax% \fi% \pgfpointtransformed{\pgfpointpolar{\@tempcnta}{\@tempdima/\@tempdimb}}% \advance\pgf@x by-\pgf@pt@x% \advance\pgf@y by-\pgf@pt@y% \pgf@xc=\pgf@xb\relax% \pgf@yc=\pgf@yb\relax% \advance \pgf@xc by \pgf@x\relax% \advance \pgf@yc by \pgf@y\relax% \pgfsyssoftpath@curveto{\the\pgf@xa}{\the\pgf@ya}{\the\pgf@xc}{\the\pgf@yc}{\the\pgf@xb}{\the\pgf@yb}% \global\pgf@path@lastx=\pgf@xb% \global\pgf@path@lasty=\pgf@yb% \pgf@protocolsizes{\pgf@xa}{\pgf@ya}% \pgf@protocolsizes{\pgf@xb}{\pgf@yb}% \pgf@protocolsizes{\pgf@xc}{\pgf@yc}% } % Append an ellipse to the current path. % % #1 = center % #2 = first axis % #3 = second axis % % Example: % % % Add a circle of radius 3cm around the origin % \pgfpathellipse{\pgforigin}{\pgfxy(2,0)}{\pgfxy(0,1)} % % % Draw a non-filled circle of radius 1cm around the point (1,1) % \pgfpathellipse{\pgfxy(1,1)}{\pgfxy(1,1)}{\pgfxy(-2,2)} % \pgfstroke \def\pgfpathellipse#1#2#3{% \pgfpointtransformed{#1}% store center in xc/yc \pgf@xc=\pgf@x% \pgf@yc=\pgf@y% \pgfpointtransformed{#2}% \pgf@xa=\pgf@x% store first axis in xa/ya \pgf@ya=\pgf@y% \advance\pgf@xa by-\pgf@pt@x% \advance\pgf@ya by-\pgf@pt@y% \pgfpointtransformed{#3}% \pgf@xb=\pgf@x% store second axis in xb/yb \pgf@yb=\pgf@y% \advance\pgf@xb by-\pgf@pt@x% \advance\pgf@yb by-\pgf@pt@y% {% \advance\pgf@xa by\pgf@xc% \advance\pgf@ya by\pgf@yc% \pgfsyssoftpath@moveto{\the\pgf@xa}{\the\pgf@ya}% \pgf@protocolsizes{\pgf@xa}{\pgf@ya}% }% \pgf@x=0.555\pgf@xb% first arc \pgf@y=0.555\pgf@yb% \advance\pgf@x by\pgf@xa% \advance\pgf@y by\pgf@ya% \advance\pgf@x by\pgf@xc% \advance\pgf@y by\pgf@yc% \edef\pgf@temp{{\the\pgf@x}{\the\pgf@y}}% \pgf@protocolsizes{\pgf@x}{\pgf@y}% \pgf@x=0.555\pgf@xa% \pgf@y=0.555\pgf@ya% \advance\pgf@x by\pgf@xb% \advance\pgf@y by\pgf@yb% {% \advance\pgf@x by\pgf@xc% \advance\pgf@y by\pgf@yc% \advance\pgf@xb by\pgf@xc% \advance\pgf@yb by\pgf@yc% \expandafter\pgfsyssoftpath@curveto\pgf@temp{\the\pgf@x}{\the\pgf@y}{\the\pgf@xb}{\the\pgf@yb}% \pgf@protocolsizes{\pgf@x}{\pgf@y}% \pgf@protocolsizes{\pgf@xb}{\pgf@yb}% }% \pgf@xa=-\pgf@xa% flip first axis \pgf@ya=-\pgf@ya% \pgf@x=0.555\pgf@xa% second arc \pgf@y=0.555\pgf@ya% \advance\pgf@x by\pgf@xb% \advance\pgf@y by\pgf@yb% \advance\pgf@x by\pgf@xc% \advance\pgf@y by\pgf@yc% \edef\pgf@temp{{\the\pgf@x}{\the\pgf@y}}% \pgf@protocolsizes{\pgf@x}{\pgf@y}% \pgf@x=0.555\pgf@xb% \pgf@y=0.555\pgf@yb% \advance\pgf@x by\pgf@xa% \advance\pgf@y by\pgf@ya% {% \advance\pgf@x by\pgf@xc% \advance\pgf@y by\pgf@yc% \advance\pgf@xa by\pgf@xc% \advance\pgf@ya by\pgf@yc% \expandafter\pgfsyssoftpath@curveto\pgf@temp{\the\pgf@x}{\the\pgf@y}{\the\pgf@xa}{\the\pgf@ya}% \pgf@protocolsizes{\pgf@x}{\pgf@y}% \pgf@protocolsizes{\pgf@xa}{\pgf@ya}% }% \pgf@xb=-\pgf@xb% flip second axis \pgf@yb=-\pgf@yb% \pgf@x=0.555\pgf@xb% third arc \pgf@y=0.555\pgf@yb% \advance\pgf@x by\pgf@xa% \advance\pgf@y by\pgf@ya% \advance\pgf@x by\pgf@xc% \advance\pgf@y by\pgf@yc% \edef\pgf@temp{{\the\pgf@x}{\the\pgf@y}}% \pgf@protocolsizes{\pgf@x}{\pgf@y}% \pgf@x=0.555\pgf@xa% \pgf@y=0.555\pgf@ya% \advance\pgf@x by\pgf@xb% \advance\pgf@y by\pgf@yb% {% \advance\pgf@x by\pgf@xc% \advance\pgf@y by\pgf@yc% \advance\pgf@xb by\pgf@xc% \advance\pgf@yb by\pgf@yc% \expandafter\pgfsyssoftpath@curveto\pgf@temp{\the\pgf@x}{\the\pgf@y}{\the\pgf@xb}{\the\pgf@yb}% \pgf@protocolsizes{\pgf@x}{\pgf@y}% \pgf@protocolsizes{\pgf@xb}{\pgf@yb}% }% \pgf@xa=-\pgf@xa% flip first axis once more \pgf@ya=-\pgf@ya% \pgf@x=0.555\pgf@xa% fourth arc \pgf@y=0.555\pgf@ya% \advance\pgf@x by\pgf@xb% \advance\pgf@y by\pgf@yb% \advance\pgf@x by\pgf@xc% \advance\pgf@y by\pgf@yc% \edef\pgf@temp{{\the\pgf@x}{\the\pgf@y}}% \pgf@protocolsizes{\pgf@x}{\pgf@y}% \pgf@x=0.555\pgf@xb% \pgf@y=0.555\pgf@yb% \advance\pgf@x by\pgf@xa% \advance\pgf@y by\pgf@ya% {% \advance\pgf@x by\pgf@xc% \advance\pgf@y by\pgf@yc% \advance\pgf@xa by\pgf@xc% \advance\pgf@ya by\pgf@yc% \expandafter\pgfsyssoftpath@curveto\pgf@temp{\the\pgf@x}{\the\pgf@y}{\the\pgf@xa}{\the\pgf@ya}% \pgf@protocolsizes{\pgf@x}{\pgf@y}% \pgf@protocolsizes{\pgf@xa}{\pgf@ya}% }% \pgfsyssoftpath@closepath% \pgfsyssoftpath@moveto{\the\pgf@xc}{\the\pgf@yc}% } % Append a circle to the current path % % #1 = center % #2 = radius % % Example: % % % Append a circle of radius 3cm around the the point (1,1) % \pgfpathcircle{\pgxy(1,1)}{3cm} \def\pgfpathcircle#1#2{\pgfpathellipse{#1}{\pgfpoint{#2}{0pt}}{\pgfpoint{0pt}{#2}}} % Append a rectangle to the current path % % #1 = lower left corner point of rectangle % #2 = width and height vector % % Example: % % % A rectangle with corners (2,2) and (3,3) % \pgfpathrectangle{\pgfpointxy{2}{2}}{\pgfpointxy{1}{1}} \def\pgfpathrectangle{% \let\pgfrect@next=\pgf@specialrect% \ifpgf@pt@identity% \ifpgf@arccorners% \else% \let\pgfrect@next=\pgf@normalrect% \fi% \fi% \pgfrect@next% } \def\pgf@normalrect#1#2{% \pgf@process{#2}% \pgf@xa=\pgf@x% \pgf@ya=\pgf@y% \pgfpointtransformed{#1}% \pgfsyssoftpath@rect{\the\pgf@x}{\the\pgf@y}{\the\pgf@xa}{\the\pgf@ya}% \pgf@protocolsizes{\pgf@x}{\pgf@y}% \advance\pgf@x by\pgf@xa\relax% \advance\pgf@y by\pgf@ya\relax% \pgf@protocolsizes{\pgf@x}{\pgf@y}% } \def\pgf@specialrect#1#2{% \pgf@process{#2}% \pgf@xa=\pgf@x% \pgf@ya=\pgf@y% \pgf@process{#1}% \pgf@xb=\pgf@x% \pgf@yb=\pgf@y% \advance\pgf@xa by\pgf@xb% \advance\pgf@ya by\pgf@yb% \pgfpathmoveto{\pgfpoint{\pgf@xa}{\pgf@ya}}% \pgfpathlineto{\pgfpoint{\pgf@xb}{\pgf@ya}}% \pgfpathlineto{\pgfpoint{\pgf@xb}{\pgf@yb}}% \pgfpathlineto{\pgfpoint{\pgf@xa}{\pgf@yb}}% \pgfpathclose% \pgfpathmoveto{\pgfpoint{\pgf@xb}{\pgf@xb}}% } % Append a rectangle to the current path % % #1 = one corner of the rectangle % #2 = opposite corner of the rectangle % % Example: % % % A rectangle with corners (2,2) and (3,3) % \pgfpathrectanglecorners{\pgfpointxy{2}{2}}{\pgfpointxy{3}{3}} \def\pgfpathrectanglecorners#1#2{% \pgf@process{#2}% \pgf@xc=\pgf@x% \pgf@yc=\pgf@y% \pgf@process{#1}% \advance\pgf@xc by-\pgf@x% \advance\pgf@yc by-\pgf@y% \pgfpathrectangle{#1}{\pgfpoint{\pgf@xc}{\pgf@yc}}% } % Append a grid to the current path. % % #1 = lower left point of grid % #2 = upper right point of grid % % Options: % % stepx = x-step dimension (default 1cm) % stepy = y-step dimension (default 1cm) % step = dimesion vector % % Example: % % \pgfsetlinewidth{0.8pt} % \pgfgrid{\pgfxy(0,0)}{\pgfxy(3,2)} % \pgfsetlinewidth{0.4pt} % \pgfgrid[stepx=1cm,stepy=1cm]{\pgfxy(0,0)}{\pgfxy(3,2)} \define@key{pgfbase}{stepx}{\setlength{\pgf@x}{#1}\relax} \define@key{pgfbase}{stepy}{\setlength{\pgf@y}{#1}\relax} \define@key{pgfbase}{step}{\pgf@process{#1}} \def\pgfpathgrid{\@ifnextchar[{\pgf@pathgrid}{\pgf@pathgrid[]}} \def\pgf@pathgrid[#1]#2#3{% \setkeys{pgfbase}{stepx=1cm,stepy=1cm}% \setkeys{pgfbase}{#1}% \pgf@xc=\pgf@x% \pgf@yc=\pgf@y% \pgf@process{#3}% \pgf@xb=\pgf@x% \pgf@yb=\pgf@y% \pgf@process{#2}% \pgf@xa=\pgf@x\relax% \pgf@ya=\pgf@y\relax% {% % compute bounding box % first corner \pgf@x=\pgf@xb% \pgf@y=\pgf@yb% \pgf@pos@transform{\pgf@x}{\pgf@y}% \pgf@protocolsizes{\pgf@x}{\pgf@y}% % second corner \pgf@x=\pgf@xb% \pgf@y=\pgf@ya% \pgf@pos@transform{\pgf@x}{\pgf@y}% \pgf@protocolsizes{\pgf@x}{\pgf@y}% % third corner \pgf@x=\pgf@xa% \pgf@y=\pgf@yb% \pgf@pos@transform{\pgf@x}{\pgf@y}% \pgf@protocolsizes{\pgf@x}{\pgf@y}% % fourth corner \pgf@x=\pgf@xa% \pgf@y=\pgf@ya% \pgf@pos@transform{\pgf@x}{\pgf@y}% \pgf@protocolsizes{\pgf@x}{\pgf@y}% }% \c@pgf@counta=\pgf@y\relax% \c@pgf@countb=\pgf@yc\relax% \divide\c@pgf@counta by\c@pgf@countb\relax% \pgf@y=\c@pgf@counta\pgf@yc\relax% \ifdim\pgf@y<\pgf@ya% \advance\pgf@y by\pgf@yc% \fi% \loop% horizontal lines {% \pgf@xa=\pgf@x% \pgf@ya=\pgf@y% \pgf@pos@transform{\pgf@xa}{\pgf@ya} \pgfsyssoftpath@moveto{\the\pgf@xa}{\the\pgf@ya}% \pgf@xa=\pgf@xb% \pgf@ya=\pgf@y% \pgf@pos@transform{\pgf@xa}{\pgf@ya} \pgfsyssoftpath@lineto{\the\pgf@xa}{\the\pgf@ya}% }% \advance\pgf@y by\pgf@yc% \ifdim\pgf@y<\pgf@yb% \repeat% \advance\pgf@y by-0.01pt\relax% \ifdim\pgf@y<\pgf@yb% {% \pgf@xa=\pgf@x% \pgf@ya=\pgf@y% \pgf@pos@transform{\pgf@xa}{\pgf@ya} \pgfsyssoftpath@moveto{\the\pgf@xa}{\the\pgf@ya}% \pgf@xa=\pgf@xb% \pgf@ya=\pgf@y% \pgf@pos@transform{\pgf@xa}{\pgf@ya} \pgfsyssoftpath@lineto{\the\pgf@xa}{\the\pgf@ya}% }% \fi% \c@pgf@counta=\pgf@x\relax% \c@pgf@countb=\pgf@xc\relax% \divide\c@pgf@counta by\c@pgf@countb\relax% \pgf@x=\c@pgf@counta\pgf@xc\relax% \ifdim\pgf@x<\pgf@xa% \advance\pgf@x by\pgf@xc% \fi% \loop% vertical lines {% \pgf@xc=\pgf@x% \pgf@yc=\pgf@ya% \pgf@pos@transform{\pgf@xc}{\pgf@yc} \pgfsyssoftpath@moveto{\the\pgf@xc}{\the\pgf@yc}% \pgf@xc=\pgf@x% \pgf@yc=\pgf@yb% \pgf@pos@transform{\pgf@xc}{\pgf@yc} \pgfsyssoftpath@lineto{\the\pgf@xc}{\the\pgf@yc}% }% \advance\pgf@x by\pgf@xc% \ifdim\pgf@x<\pgf@xb% \repeat% \advance\pgf@x by-0.01pt\relax% \ifdim\pgf@x<\pgf@xb% {% \pgf@xc=\pgf@x% \pgf@yc=\pgf@ya% \pgf@pos@transform{\pgf@xc}{\pgf@yc} \pgfsyssoftpath@moveto{\the\pgf@xc}{\the\pgf@yc}% \pgf@xc=\pgf@x% \pgf@yc=\pgf@yb% \pgf@pos@transform{\pgf@xc}{\pgf@yc} \pgfsyssoftpath@lineto{\the\pgf@xc}{\the\pgf@yc}% }% \fi% } % Append two half-parabolas to the path % % #1 = bend (relative to current point) % #2 = end point (relative to bend point) % % Description: % % This command appends a half-parabola that starts at the current point % and has its bend at #1+current point. Then, a second parabola is % appended that starts at #1+current point, where it also has its % minimum/maximum, and ends at #1+current point+#2, which becomes the % new current point. % % By setting #2 = (0,0) you draw only a half parabola that goes from the % current point to the bend; by setting #1 = (0,0) % you draw a half parabola that going to current point + #2 and has its % bend at the current point. % % Examples: % % % Half-parabola going ``up and right'' % \pgfpathmoveto{\pgfpointorigin} % \pgfpathparabola{\pgfpointorigin}{\pgfpoint{2cm}{4cm}} % % % Half-parabola going ``down and right'' % \pgfpathmoveto{\pgfpointorigin} % \pgfpathparabola{\pgfpoint{-2cm}{4cm}}}{\pgfpointorigin} % % % Full parabola % \pgfpathmoveto{\pgfpointorigin} % \pgfpathparabola{\pgfpoint{-2cm}{4cm}}{\pgfpoint{2cm}{4cm}} \def\pgfpathparabola#1#2{% {% \pgf@process{#2}% untransformed \pgf@xb=\pgf@x% \pgf@yb=\pgf@y% \pgf@process{#1}% untransformed \pgf@xc=\pgf@x% \pgf@yc=\pgf@y% \@tempswatrue% \ifdim\pgf@xb=0pt\relax% \ifdim\pgf@yb=0pt\relax% \@tempswafalse% \fi% \fi% {% \if@tempswa% \pgf@arccornersfalse \else% \fi% \@tempswatrue% \ifdim\pgf@xc=0pt\relax% \ifdim\pgf@yc=0pt\relax% \@tempswafalse% \fi% \fi% \if@tempswa {% \pgf@pt@x=\pgf@path@lastx% \pgf@pt@y=\pgf@path@lasty% \pgfpathcurveto% {\pgfpoint{.1125\pgf@xc}{.225\pgf@yc}}% found by trial and error {\pgfpoint{.5\pgf@xc}{\pgf@yc}}% found by trial and error {\pgfpoint{\pgf@xc}{\pgf@yc}}% }% \fi% }% \if@tempswa% \pgf@xc=\pgf@xb% \pgf@yc=\pgf@yb% {% \pgf@pt@x=\pgf@path@lastx% \pgf@pt@y=\pgf@path@lasty% \pgfpathcurveto% {\pgfpoint{.5\pgf@xc}{0\pgf@yc}}% found by trial and error {\pgfpoint{.8875\pgf@xc}{.775\pgf@yc}}% found by trial and error {\pgfpoint{\pgf@xc}{\pgf@yc}}% }% \fi% }% } % Append a sine curve between 0 and \pi/2 to the path. % % #1 = vector, describing the width and height of the curve % % Description: % % This command appends a sine curve in the interval 0 and \pi/2 to the % current path. The sine curve ends at currentpoint+#1. % % Examples: % % % One complete sine in the interval [0,\pi] % \pgfpathmoveto{\pgfpointorigin} % \pgfpathsine{\pgfpoint{1.57cm}{1cm}} % \pgfpathcosine{\pgfpoint{3.141cm}{0cm}} \def\pgfpathsine#1{% {% \pgf@process{#1}% untransformed \pgf@xc=\pgf@x% \pgf@yc=\pgf@y% \pgf@pt@x=\pgf@path@lastx% evil trickery to transform to the last point \pgf@pt@y=\pgf@path@lasty% \pgfpathcurveto% {\pgfpoint{.31830988618\pgf@xc}{.5\pgf@yc}}% found by trial and error {\pgfpoint{.63502822294\pgf@xc}{\pgf@yc}}% found by trial and error {\pgfpoint{\pgf@xc}{\pgf@yc}}% }% } % Append a cosine curve between 0 and \pi/2 to the path. % % #1 = vector, describing the width and height of the curve % % Examples: % % % One complete sine in the interval [0,\pi] % \pgfpathmoveto{\pgfpointorigin} % \pgfpathsine{\pgfpoint{1.57cm}{1cm}} % \pgfpathcosine{\pgfpoint{3.141cm}{0cm}} \def\pgfpathcosine#1{% {% \pgf@process{#1}% untransformed \pgf@xc=\pgf@x% \pgf@yc=\pgf@y% \pgf@pt@x=\pgf@path@lastx% evil trickery to transform to the last point \pgf@pt@y=\pgf@path@lasty% \pgfpathcurveto% {\pgfpoint{.36497177706\pgf@xc}{0pt}}% found by trial and error {\pgfpoint{.68169011382\pgf@xc}{.5\pgf@yc}}% found by trial and error {\pgfpoint{\pgf@xc}{\pgf@yc}}% }% } \endinput