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authorKarl Berry <karl@freefriends.org>2010-02-11 23:48:39 +0000
committerKarl Berry <karl@freefriends.org>2010-02-11 23:48:39 +0000
commita82c24b304d3a6727a9cd210d82b33b2c9e3119b (patch)
tree2f331ad49c6edf41f80a30eda60945397bb38428 /Master/texmf-dist/tex/generic/pstricks/pst-fp.tex
parentb164898a09f10287c030149a0a36c7938627a9c3 (diff)
pstricks 0.41 (11feb10)
git-svn-id: svn://tug.org/texlive/trunk@16973 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/tex/generic/pstricks/pst-fp.tex')
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+%% $Id: pst-fp.tex 259 2010-01-17 09:51:50Z herbert $
+%%
+%%
+%% This is file `pst-fp.tex',
+%%
+%% IMPORTANT NOTICE:
+%%
+%% Package `pst-fp.tex'
+%%
+%% Herbert Voss <hvoss@tug.org>
+%% stolen from the fp package by Michael Mehlich
+%%
+%% This program can be redistributed and/or modified under the terms
+%% of the LaTeX Project Public License Distributed from CTAN archives
+%% in directory macros/latex/base/lppl.txt.
+%%
+%% DESCRIPTION:
+%% `pst-fp' is a PSTricks related package for a division,
+%% multiplication and addition
+%%
+\csname PSTFPloaded\endcsname
+\let\PSTFPloaded\endinput
+%
+% Requires some packages
+\ifx\PSTricksLoaded\endinput\else\input pstricks \fi
+%
+\def\fileversion{0.05}
+\def\filedate{2010/01/17}
+\message{`pst-fp' v\fileversion, \filedate\space (hv)}
+%
+\edef\PstAtCode{\the\catcode`\@} \catcode`\@=11\relax
+
+%fixed point arithmetic with values between (including)
+% -999999999999999999.999999999999999999
+% and +999999999999999999.999999999999999999
+
+\def\pstFPadd#1#2#3{\pstFP@callc\pstFP@add#1{#2}{#3}+\relax} % #1 := #2+#3
+\def\pstFPsub#1#2#3{\pstFP@callc\pstFP@add#1{#2}{-#3}-\relax}% #1 := #2-#3
+\def\pstFPmul#1#2#3{\pstFP@callc\pstFP@mul#1{#2}{#3}} % #1 := #2*#3
+\def\pstFPdiv#1#2#3{\pstFP@callc\pstFP@div#1{#2}{#3}} % #1 := #2/#3
+
+\def\pst@int#1{\expandafter\pst@@int#1..\@nil}
+\def\pst@@int#1.#2.\@nil{#1}
+\def\pst@Int#1{%
+ \@tempdima=#1\relax%
+ \expandafter\pst@@Int\the\@tempdima\@nil}
+\def\pst@@Int#1.#2\@nil{#1}
+
+%
+\def\pstFPMul#1#2#3{\pstFP@callc\pstFP@mul#1{#2}{#3}% % #1 := int(#2/#3)
+ \edef#1{\pst@int{#1}}}%
+\def\pstFPDiv#1#2#3{\pstFP@callc\pstFP@div#1{#2}{#3}% % #1 := int(#2/#3)
+ \edef#1{\pst@int{#1}}}%
+\def\pstFPstripZeros#1#2{\pst@dimm=#1pt\relax \edef#2{\strip@pt\pst@dimm}}
+%
+\countdef\pstFP@actcounter=10 % register 0 for counter
+\ifnum\pstFP@actcounter<60\relax \pstFP@actcounter=60\fi
+
+\newcount\pstFP@xs %sign of 1st value
+\newcount\pstFP@xia%integer part of 1st value
+\newcount\pstFP@xib%integer part of 1st value
+\newcount\pstFP@xfa%fractional part of 1st value
+\newcount\pstFP@xfb%fractional part of 1st value
+
+\countdef\pstFP@ys=5 %sign of 2nd value
+\countdef\pstFP@yia=6%integer part of 2nd value
+\countdef\pstFP@yib=7%integer part of 2nd value
+\countdef\pstFP@yfa=8%fractional part of 2nd value
+\countdef\pstFP@yfb=9%fractional part of 2nd value
+
+\countdef\pstFP@xk=10 %registers for splitting 1st value
+\countdef\pstFP@xl=11
+\countdef\pstFP@xm=12
+\countdef\pstFP@xn=13
+\countdef\pstFP@xo=14
+\countdef\pstFP@xp=15
+\countdef\pstFP@xq=16
+\countdef\pstFP@xr=17
+\countdef\pstFP@xz=18
+\countdef\pstFP@xt=19
+\countdef\pstFP@xu=20
+\countdef\pstFP@xv=21
+
+\countdef\pstFP@yk=22 %registers for splitting 2nd value
+\countdef\pstFP@yl=23
+\countdef\pstFP@ym=24
+\countdef\pstFP@yn=25
+\countdef\pstFP@yo=26
+\countdef\pstFP@yp=27
+\countdef\pstFP@yq=28
+\countdef\pstFP@yr=29
+\countdef\pstFP@yz=30
+\countdef\pstFP@yt=31
+\countdef\pstFP@yu=32
+\countdef\pstFP@yv=33
+
+\newcount\pstFP@rega %auxiliary registers
+\newcount\pstFP@regb
+\countdef\pstFP@regc=36
+\countdef\pstFP@regd=37
+\countdef\pstFP@rege=38
+
+\countdef\pstFP@rs=39 %result registers
+\countdef\pstFP@ria=40
+\countdef\pstFP@rib=41
+\countdef\pstFP@rfa=42
+\countdef\pstFP@rfb=43
+
+\newcount\pstFP@regs %local auxiliary registers
+\countdef\pstFP@count=45
+\countdef\pstFP@res=46
+\countdef\pstFP@shift=47
+\newcount\pstFP@times
+\countdef\pstFP@prod=49
+
+%auxiliary macros which may be used in all of the following macros
+\newif\ifpstFP@test
+
+\def\pstFP@ignorenext#1{}
+\def\pstFP@first#1#2\relax{#1}
+\def\pstFP@swallow#1\relax{}
+%
+\def\ifpstFP@zero#1{%
+ \ifnum%
+ \expandafter\ifnum\csname pstFP@#1ia\endcsname=0 0\else1\fi%
+ \expandafter\ifnum\csname pstFP@#1ib\endcsname=0 0\else1\fi%
+ \expandafter\ifnum\csname pstFP@#1fa\endcsname=0 0\else1\fi%
+ \expandafter\ifnum\csname pstFP@#1fb\endcsname=0 0\else1\fi%
+ =0\relax%
+}
+%
+%read value
+%
+\def\pstFP@correctintcounter#1\relax{%
+ {\edef\pstFP@tmp{#1}%
+ \pstFP@count=0\relax%
+ \loop%
+ \edef\pstFP@tmpa{\expandafter\pstFP@first\pstFP@tmp\noexpand\relax}%
+ \expandafter\ifx\pstFP@tmpa0\relax%
+ \advance\pstFP@count1\relax%
+ \edef\pstFP@tmp{\expandafter\pstFP@ignorenext\pstFP@tmp}%
+ \repeat%
+ \ifnum\pstFP@count>18\relax \typeout{>>>> Overflow}\fi%
+ \expandafter\if!\pstFP@tmp!%
+ \advance\pstFP@count-18\relax%
+ \pstFP@count=-\pstFP@count%
+ \loop%
+ \ifnum\pstFP@count>0\relax%
+ \pstFP@regc=\pstFP@rega%
+ \divide\pstFP@rega10\relax\multiply\pstFP@rega10\relax%
+ \advance\pstFP@regc-\pstFP@rega\multiply\pstFP@regc100000000\relax%
+ \divide\pstFP@rega10\relax%
+ \divide\pstFP@regb10\relax\advance\pstFP@regb\pstFP@regc%
+ \advance\pstFP@count-1\relax%
+ \repeat%
+ \global\pstFP@rega=\pstFP@rega%
+ \global\pstFP@regb=\pstFP@regb%
+ \else%
+ \typeout{>>>>Number too big}%
+ \fi%
+ }%
+}
+\def\pstFP@@setintcounter#1#2#3#4#5#6#7#8#9{%
+ \pstFP@regb=#1#2#3#4#5#6#7#8#9\relax%
+ \pstFP@correctintcounter%
+}
+\def\pstFP@setintcounter#1#2#3#4#5#6#7#8#9{%
+ \pstFP@rega=#1#2#3#4#5#6#7#8#9\relax%
+ \pstFP@@setintcounter%
+}
+
+\def\pstFP@@setfractcounter#1#2#3#4#5#6#7#8#9{%
+ \pstFP@regb=#1#2#3#4#5#6#7#8#9\relax%
+ \pstFP@swallow%
+}
+\def\pstFP@setfractcounter#1#2#3#4#5#6#7#8#9{%
+ \pstFP@rega=#1#2#3#4#5#6#7#8#9\relax%
+ \pstFP@@setfractcounter%
+}
+
+\def\pstFP@getsign#1\relax{%
+ {\pstFP@regs=1\relax%
+ \edef\pstFP@tmp{#1}%
+ \loop%
+ \edef\pstFP@tmpa{\expandafter\pstFP@first\pstFP@tmp\noexpand\relax}%
+ \expandafter\ifx\pstFP@tmpa-\relax%
+ \multiply\pstFP@regs-1\relax%
+ \fi%
+ \ifnum\expandafter\ifx\pstFP@tmpa-1\else0\fi\expandafter\ifx\pstFP@tmpa+1\else0\fi>0%
+ \edef\pstFP@tmp{\expandafter\pstFP@ignorenext\pstFP@tmp}%
+ \repeat%
+ \global\let\pstFP@tmp\pstFP@tmp%
+ \global\pstFP@regs=\pstFP@regs%
+ }%
+}
+
+\def\pstFP@removeleadingzeros#1\relax{%
+ {\edef\pstFP@tmp{#1}%
+ \loop%
+ \edef\pstFP@tmpa{\expandafter\pstFP@first\pstFP@tmp\noexpand\relax}%
+ \expandafter\ifx\pstFP@tmpa0\relax%
+ \edef\pstFP@tmp{\expandafter\pstFP@ignorenext\pstFP@tmp}%
+ \repeat%
+ \global\let\pstFP@tmp\pstFP@tmp%
+ }%
+}
+
+\newif\ifpstFP@nonstop
+\def\pstFP@strip#1{%
+ {\edef\pstFP@tmp{#1}%
+ \edef\pstFP@tmpb{}%
+ \ifx\pstFP@tmp\@empty\else%
+ \pstFP@nonstoptrue%
+ \loop%
+ \edef\pstFP@tmpa{\expandafter\pstFP@first\pstFP@tmp\noexpand\relax}%
+ \expandafter\ifx\pstFP@tmpa-\relax\edef\pstFP@tmpb{\pstFP@tmpb\pstFP@tmpa}\else%
+ \expandafter\ifx\pstFP@tmpa+\relax\edef\pstFP@tmpb{\pstFP@tmpb\pstFP@tmpa}\else%
+ \expandafter\ifx\pstFP@tmpa0\relax\edef\pstFP@tmpb{\pstFP@tmpb\pstFP@tmpa}\else%
+ \expandafter\ifx\pstFP@tmpa1\relax\edef\pstFP@tmpb{\pstFP@tmpb\pstFP@tmpa}\else%
+ \expandafter\ifx\pstFP@tmpa2\relax\edef\pstFP@tmpb{\pstFP@tmpb\pstFP@tmpa}\else%
+ \expandafter\ifx\pstFP@tmpa3\relax\edef\pstFP@tmpb{\pstFP@tmpb\pstFP@tmpa}\else%
+ \expandafter\ifx\pstFP@tmpa4\relax\edef\pstFP@tmpb{\pstFP@tmpb\pstFP@tmpa}\else%
+ \expandafter\ifx\pstFP@tmpa5\relax\edef\pstFP@tmpb{\pstFP@tmpb\pstFP@tmpa}\else%
+ \expandafter\ifx\pstFP@tmpa6\relax\edef\pstFP@tmpb{\pstFP@tmpb\pstFP@tmpa}\else%
+ \expandafter\ifx\pstFP@tmpa7\relax\edef\pstFP@tmpb{\pstFP@tmpb\pstFP@tmpa}\else%
+ \expandafter\ifx\pstFP@tmpa8\relax\edef\pstFP@tmpb{\pstFP@tmpb\pstFP@tmpa}\else%
+ \expandafter\ifx\pstFP@tmpa9\relax\edef\pstFP@tmpb{\pstFP@tmpb\pstFP@tmpa}\else%
+ \ifx\pstFP@tmpa\@empty\pstFP@nonstopfalse\else%
+ \ifx\pstFP@tmpa\space\pstFP@nonstopfalse\else%
+ \typeout{>>> Illegal character \pstFP@tmpa\space found in float number}%
+ \fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi%
+ \edef\pstFP@tmp{\expandafter\pstFP@ignorenext\pstFP@tmp}%
+ \ifx\pstFP@tmp\@empty\pstFP@nonstopfalse\fi%
+ \ifpstFP@nonstop%
+ \repeat%
+ \fi%
+ \global\let\pstFP@tmp\pstFP@tmpb%
+ }%
+}
+
+\def\pstFP@readvalue#1#2#3{%
+ % #1 macro family to catch the value
+ % #2.#3 value
+ %
+ % regular expression [+|-]*[d]_0^18.[d]*
+ %
+ \pstFP@strip{#2}%
+ %sign
+ \expandafter\pstFP@getsign\pstFP@tmp\relax%
+ \csname pstFP@#1s\endcsname=\pstFP@regs%
+ %
+ %integer part
+ \pstFP@removeleadingzeros\pstFP@tmp\relax%
+ \expandafter\pstFP@setintcounter\pstFP@tmp000000000000000000\relax%
+ \csname pstFP@#1ia\endcsname=\pstFP@rega%
+ \csname pstFP@#1ib\endcsname=\pstFP@regb%
+ %
+ %fractional part
+ \pstFP@strip{#3}%
+ \expandafter\pstFP@setfractcounter\pstFP@tmp000000000000000000\relax%
+ \csname pstFP@#1fa\endcsname=\pstFP@rega%
+ \csname pstFP@#1fb\endcsname=\pstFP@regb%
+ %
+ %correct sign
+ \ifnum\pstFP@rega=0\relax%
+ \ifnum\pstFP@regb=0\relax%
+ \expandafter\ifnum\csname pstFP@#1ib\endcsname=0\relax%
+ \expandafter\ifnum\csname pstFP@#1ia\endcsname=0\relax%
+ \csname pstFP@#1s\endcsname=1\relax%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+}
+%
+%store value in macro
+%
+\def\pstFP@store#1#2{%
+ % #1 macro
+ % #2 macro family (value) to store
+ %
+ \ifpstFP@zero{#2}%
+ \csname pstFP@#2s\endcsname=1\relax%
+ \fi%
+ \expandafter\ifnum\csname pstFP@#2s\endcsname<0\relax%
+ \edef#1{-}%
+ \else%
+ \edef#1{}%
+ \fi%
+ \expandafter\ifnum\csname pstFP@#2ia\endcsname=0\relax%
+ \expandafter\ifnum\csname pstFP@#2ib\endcsname=0\relax%
+ \edef#1{#10}%
+ \else%
+ \edef#1{#1\expandafter\the\csname pstFP@#2ib\endcsname}%
+ \fi%
+ \else%
+ \expandafter\advance\csname pstFP@#2ib\endcsname1000000000\relax%
+ \edef#1{#1\expandafter\the\csname pstFP@#2ia\endcsname\expandafter\pstFP@ignorenext\the\csname pstFP@#2ib\endcsname}%
+ \fi%
+ \expandafter\advance\csname pstFP@#2fa\endcsname1000000000\relax%
+ \expandafter\advance\csname pstFP@#2fb\endcsname1000000000\relax%
+ \edef#1{#1\noexpand.\expandafter\pstFP@ignorenext\the\csname pstFP@#2fa\endcsname\expandafter\pstFP@ignorenext\the\csname pstFP@#2fb\endcsname}%
+}
+%macros to expand some arguments
+%
+\def\pstFP@callc#1#2#3#4{%
+ % #1 macro to call
+ % #2 macro, which gets the result
+ % #3 1st value
+ % #4 2nd value
+ % expand the values and split them into the integer and the fractional parts
+ \edef\next{\noexpand#1\noexpand#2#3..\noexpand\relax#4..\noexpand\relax}%
+ \next%
+}
+%
+\def\pstFP@divten#1{%
+ \expandafter\pstFP@regc\csname pstFP@#1ia\endcsname%
+ \expandafter\divide\csname pstFP@#1ia\endcsname10\relax%
+ \expandafter\pstFP@regb\csname pstFP@#1ia\endcsname%
+ \multiply\pstFP@regb10\relax%
+ \advance\pstFP@regc-\pstFP@regb%
+ \multiply\pstFP@regc100000000\relax%
+ %
+ \expandafter\pstFP@rega\csname pstFP@#1ib\endcsname%
+ \expandafter\divide\csname pstFP@#1ib\endcsname10\relax%
+ \expandafter\pstFP@regb\csname pstFP@#1ib\endcsname%
+ \multiply\pstFP@regb10\relax%
+ \advance\pstFP@rega-\pstFP@regb%
+ \multiply\pstFP@rega100000000\relax%
+ \expandafter\advance\csname pstFP@#1ib\endcsname\pstFP@regc%
+ %
+ \expandafter\pstFP@regc\csname pstFP@#1fa\endcsname%
+ \expandafter\divide\csname pstFP@#1fa\endcsname10\relax%
+ \expandafter\pstFP@regb\csname pstFP@#1fa\endcsname%
+ \multiply\pstFP@regb10\relax%
+ \advance\pstFP@regc-\pstFP@regb%
+ \multiply\pstFP@regc100000000\relax%
+ \expandafter\advance\csname pstFP@#1fa\endcsname\pstFP@rega%
+ %
+ \expandafter\divide\csname pstFP@#1fb\endcsname10\relax%
+ \expandafter\advance\csname pstFP@#1fb\endcsname\pstFP@regc%
+}
+%
+\def\pstFP@multen#1{%
+ \expandafter\multiply\csname pstFP@#1ia\endcsname10\relax%
+ \expandafter\ifnum\csname pstFP@#1ib\endcsname<100000000\relax%
+ \else%
+ \expandafter\pstFP@regc\csname pstFP@#1ib\endcsname%
+ \divide\pstFP@regc100000000%
+ \expandafter\advance\csname pstFP@#1ia\endcsname\pstFP@regc%
+ \multiply\pstFP@regc100000000%
+ \expandafter\advance\csname pstFP@#1ib\endcsname-\pstFP@regc%
+ \fi%
+ \expandafter\multiply\csname pstFP@#1ib\endcsname10\relax%
+ \expandafter\ifnum\csname pstFP@#1fa\endcsname<100000000\relax%
+ \else%
+ \expandafter\pstFP@regc\csname pstFP@#1fa\endcsname%
+ \divide\pstFP@regc100000000%
+ \expandafter\advance\csname pstFP@#1ib\endcsname\pstFP@regc%
+ \multiply\pstFP@regc100000000%
+ \expandafter\advance\csname pstFP@#1fa\endcsname-\pstFP@regc%
+ \fi%
+ \expandafter\multiply\csname pstFP@#1fa\endcsname10\relax%
+ \expandafter\ifnum\csname pstFP@#1fb\endcsname<100000000\relax%
+ \else%
+ \expandafter\pstFP@regc\csname pstFP@#1fb\endcsname%
+ \divide\pstFP@regc100000000%
+ \expandafter\advance\csname pstFP@#1fa\endcsname\pstFP@regc%
+ \multiply\pstFP@regc100000000%
+ \expandafter\advance\csname pstFP@#1fb\endcsname-\pstFP@regc%
+ \fi%
+ \expandafter\multiply\csname pstFP@#1fb\endcsname10\relax%
+}
+%
+\def\pstFP@counttimes{%
+ {\global\pstFP@times=0\relax%
+ \loop%
+ \ifnum%
+ \ifnum\pstFP@xia>\pstFP@yia1%
+ \else\ifnum\pstFP@xia<\pstFP@yia0%
+ \else%
+ \ifnum\pstFP@xib>\pstFP@yib1%
+ \else\ifnum\pstFP@xib<\pstFP@yib0%
+ \else%
+ \ifnum\pstFP@xfa>\pstFP@yfa1%
+ \else\ifnum\pstFP@xfa<\pstFP@yfa0%
+ \else%
+ \ifnum\pstFP@xfb>\pstFP@yfb1%
+ \else\ifnum\pstFP@xfb<\pstFP@yfb0%
+ \else%
+ 1%
+ \fi\fi%
+ \fi\fi%
+ \fi\fi%
+ \fi\fi%
+ =1\relax%
+ \global\advance\pstFP@times1\relax%
+ \global\advance\pstFP@xfb-\pstFP@yfb%
+ \ifnum\pstFP@xfb<0\relax%
+ \global\advance\pstFP@xfb1000000000\relax%
+ \global\advance\pstFP@xfa-1\relax%
+ \fi%
+ \global\advance\pstFP@xfa-\pstFP@yfa%
+ \ifnum\pstFP@xfa<0\relax%
+ \global\advance\pstFP@xfa1000000000\relax%
+ \global\advance\pstFP@xib-1\relax%
+ \fi%
+ \global\advance\pstFP@xib-\pstFP@yib%
+ \ifnum\pstFP@xib<0\relax%
+ \global\advance\pstFP@xib1000000000\relax%
+ \global\advance\pstFP@xia-1\relax%
+ \fi%
+ \global\advance\pstFP@xia-\pstFP@yia%
+ \repeat%
+ }%
+}
+%
+\def\pstFP@add#1#2.#3.#4\relax#5.#6.#7\relax#8\relax{%
+ % #1 macro, which gets the result
+ % #2 integer part of 1st value
+ % #3 fractional part of 1st value
+ % #4 dummy to swallow everthing after the 2nd '.'
+ % #5 integer part of 2nd value
+ % #6 fractional part of 2nd value
+ % #7 dummy to swallow everthing after the 2nd '.'
+ %
+ {\pstFP@readvalue{x}{#2}{#3}%
+ \pstFP@readvalue{y}{#5}{#6}%
+ %
+ \ifnum\pstFP@xs=\pstFP@ys%
+ \advance\pstFP@xfb\pstFP@yfb%
+ \advance\pstFP@xfa\pstFP@yfa%
+ \ifnum\pstFP@xfb<1000000000\relax\else%
+ \advance\pstFP@xfb-1000000000\relax%
+ \advance\pstFP@xfa1\relax%
+ \fi%
+ \advance\pstFP@xib\pstFP@yib%
+ \ifnum\pstFP@xfa<1000000000\relax\else%
+ \advance\pstFP@xfa-1000000000\relax%
+ \advance\pstFP@xib1\relax%
+ \fi%
+ \advance\pstFP@xia\pstFP@yia%
+ \ifnum\pstFP@xib<1000000000\relax\else%
+ \advance\pstFP@xib-1000000000\relax%
+ \advance\pstFP@xia1\relax%
+ \fi%
+ \ifnum\pstFP@xia<1000000000\relax\else%
+ \pstFP@errmessage{Overflow}%
+ \fi%
+ \pstFP@store\pstFP@tmp{x}%
+ \else%
+ \advance\pstFP@xfb-\pstFP@yfb%
+ \ifnum\pstFP@xfb<0\relax%
+ \advance\pstFP@yfa1\relax%
+ \advance\pstFP@xfb1000000000\relax%
+ \fi%
+ \advance\pstFP@xfa-\pstFP@yfa%
+ \ifnum\pstFP@xfa<0\relax%
+ \advance\pstFP@yib1\relax%
+ \advance\pstFP@xfa1000000000\relax%
+ \fi%
+ \advance\pstFP@xib-\pstFP@yib%
+ \ifnum\pstFP@xib<0\relax%
+ \advance\pstFP@yia1\relax%
+ \advance\pstFP@xib1000000000\relax%
+ \fi%
+ \advance\pstFP@xia-\pstFP@yia%
+ \ifnum\pstFP@xia<0\relax%
+ \pstFP@xs=-\pstFP@xs%
+ \ifnum\pstFP@xfb=0\relax\else%
+ \advance\pstFP@xfb-1000000000\relax\pstFP@xfb=-\pstFP@xfb%
+ \advance\pstFP@xfa1\relax%
+ \fi%
+ \ifnum\pstFP@xfa=0\relax\else%
+ \advance\pstFP@xfa-1000000000\relax\pstFP@xfa=-\pstFP@xfa%
+ \advance\pstFP@xib1\relax%
+ \fi%
+ \ifnum\pstFP@xib=0\relax\else%
+ \advance\pstFP@xib-1000000000\relax\pstFP@xib=-\pstFP@xib%
+ \advance\pstFP@xia1\relax%
+ \fi%
+ \relax\pstFP@xia=-\pstFP@xia%
+ \fi%
+ \pstFP@store\pstFP@tmp{x}%
+ \fi%
+ \global\let\pstFP@tmp\pstFP@tmp%
+ }%
+ \let#1\pstFP@tmp%
+}
+
+
+\def\pstFP@div#1#2.#3.#4\relax#5.#6.#7\relax{%
+ % #1 macro, which gets the result
+ % #2 integer part of 1st value
+ % #3 fractional part of 1st value
+ % #4 dummy to swallow everthing after the 2nd '.'
+ % #5 integer part of 2nd value
+ % #6 fractional part of 2nd value
+ % #7 dummy to swallow everthing after the 2nd '.'
+ %
+ % algorithmic idea (for x>0, y>0)
+ % - %determine \pstFP@shift such that y*10^\pstFP@shift <100000000<=y*10^(\pstFP@shift+1)
+ % - %determine \pstFP@shift' such that x*10^\pstFP@shift'<100000000<=x*10^(\pstFP@shift+1)
+ % - x=x*\pstFP@shift'
+ % - y=y*\pstFP@shift
+ % - \pstFP@shift=\pstFP@shift-\pstFP@shift'
+ % - res=0
+ % - while y>0 %fixed-point representation!
+ % - \pstFP@times=0
+ % - while x>y
+ % - \pstFP@times=\pstFP@times+1
+ % - x=x-y
+ % - end
+ % - y=y/10
+ % - res=10*res+\pstFP@times/1000000000
+ % - end
+ % - %shift the result according to \pstFP@shift
+ %
+ {\pstFP@readvalue{x}{#2}{#3}%
+ \pstFP@readvalue{y}{#5}{#6}%
+ %
+ %sign
+ \multiply\pstFP@xs\pstFP@ys%
+ \pstFP@rs=\pstFP@xs%
+ %
+ %compute division
+ \ifpstFP@zero{y}%
+ \typeout{>>>>Division by zero}%
+ \else%
+ \ifpstFP@zero{x}\def\next##1{\edef\pstFP@tmp{0}}\else\def\next##1{##1}\fi%
+ \next%
+ {\pstFP@shift=0\relax%
+ \loop%
+ \ifnum\pstFP@yia<100000000\relax%
+ \pstFP@multen{y}%
+ \advance\pstFP@shift1\relax%
+ \repeat%
+ \loop%
+ \ifnum\pstFP@xia<100000000\relax%
+ \pstFP@multen{x}%
+ \advance\pstFP@shift-1\relax%
+ \repeat%
+ \pstFP@ria=0\pstFP@rib=0\pstFP@rfa=0\pstFP@rfb=0\relax%
+ \loop%
+ \ifpstFP@zero{y}\else%
+ \pstFP@counttimes%divides x by \pstFP@times*y
+ \pstFP@divten{y}%
+ \pstFP@multen{r}%
+ \advance\pstFP@rfb\pstFP@times%
+ \ifnum\pstFP@rfb<1000000000\relax\else%
+ \advance\pstFP@rfa1\advance\pstFP@rfb-1000000000\relax%
+ \ifnum\pstFP@rfa<1000000000\relax\else%
+ \advance\pstFP@rib1\advance\pstFP@rfa-1000000000\relax%
+ \ifnum\pstFP@rib<1000000000\relax\else%
+ \advance\pstFP@ria1\advance\pstFP@rib-1000000000\relax%
+ \fi%
+ \fi%
+ \fi%
+ \repeat%
+ \loop%
+ \ifnum\pstFP@shift>17%
+ \advance\pstFP@shift-1\relax%
+ \ifnum\pstFP@ria<100000000\else\pstFP@ria=-1\fi%
+ \ifnum\pstFP@ria<0\pstFP@ria=-1\fi%
+ \pstFP@multen{r}%
+ \repeat%
+ \ifnum\pstFP@ria<1000000000\else\pstFP@ria=-1\fi%
+ \loop%
+ \ifnum\pstFP@shift<17%
+ \advance\pstFP@shift1\relax%
+ \pstFP@divten{r}%
+ \repeat%
+ \ifnum\pstFP@ria<0\relax%
+ \typeout{>>>>Overflow}%
+ \else%
+ \pstFP@store\pstFP@tmp{r}%
+ \fi%
+ }%
+ \fi%
+ %
+ \global\let\pstFP@tmp=\pstFP@tmp%
+ %
+ }%
+ \let#1\pstFP@tmp%
+}
+%multiply two values
+
+\def\pstFP@firstnine#1#2#3#4#5#6#7#8#9{%
+ \pstFP@res=#1#2#3#4#5#6#7#8#9\relax%
+}
+\def\pstFP@@ninesplit#1\relax#2\end#3{%
+ #1%
+ \edef#3{#2}%
+}
+\def\pstFP@ninesplit#1{%
+ \edef#1{\expandafter\pstFP@firstnine\pstFP@rd}%
+ \expandafter\pstFP@@ninesplit#1\end#1\relax%
+}
+
+\def\pstFP@split#1#2#3#4{%
+ % #1 highest three digits
+ % #2 medium three digits
+ % #3 least three digits
+ % #4 counter
+ \pstFP@regc=#4%
+ \divide\pstFP@regc1000000\relax%
+ #1=\pstFP@regc%
+ \multiply\pstFP@regc-1000000\relax\advance\pstFP@regc#4%
+ #3=\pstFP@regc%
+ \divide\pstFP@regc1000\relax%
+ #2=\pstFP@regc%
+ \multiply\pstFP@regc-1000\relax\advance\pstFP@regc#3%
+ #3=\pstFP@regc%
+}
+
+\def\pstFP@@mul#1#2#3{%
+ \pstFP@regc=\csname pstFP@x#1\endcsname%
+ \multiply\pstFP@regc\csname pstFP@y#2\endcsname%
+ \advance\pstFP@prod\pstFP@regc%
+ %
+ \ifx#3\relax%
+ \let\next=\relax%
+ \else%
+ \let\next=\pstFP@@mul%
+ \fi%
+ \next#3%
+}
+
+\def\pstFP@saveshift{%
+ % save rightmost three digits
+ \pstFP@regc=\pstFP@prod%
+ \divide\pstFP@prod1000\relax%
+ \multiply\pstFP@prod1000\relax%
+ \advance\pstFP@regc-\pstFP@prod%
+ \advance\pstFP@regc1000\relax%
+ \edef\pstFP@rd{\expandafter\pstFP@ignorenext\the\pstFP@regc\pstFP@rd}%
+ %
+ \divide\pstFP@prod1000\relax%
+}
+
+\def\pstFP@mul#1#2.#3.#4\relax#5.#6.#7\relax{%
+ % #1 macro, which gets the result
+ % #2 integer part of 1st value
+ % #3 fractional part of 1st value
+ % #4 dummy to swallow everthing after the 2nd '.'
+ % #5 integer part of 2nd value
+ % #6 fractional part of 2nd value
+ % #7 dummy to swallow everthing after the 2nd '.'
+ %
+ % split value in various parts
+ % x y = 123 456 789 123 456 789 . 123 456 789 123 456 789
+ % -> xk xl xm xn xo xp xq xr xs xt xu xv
+ % -> yk yl ym yn yo yp yq yr ys yt yu yv
+ % multiply these parts and save the result wrt the necessary shifts
+ %
+ {\pstFP@readvalue{x}{#2}{#3}%
+ \pstFP@readvalue{y}{#5}{#6}%
+ %
+ %sign
+ \multiply\pstFP@xs\pstFP@ys%
+ \pstFP@rs=\pstFP@xs%
+ %
+ % split parts
+ \pstFP@split\pstFP@xk\pstFP@xl\pstFP@xm\pstFP@xia\pstFP@split\pstFP@xn\pstFP@xo\pstFP@xp\pstFP@xib%
+ \pstFP@split\pstFP@xq\pstFP@xr\pstFP@xz\pstFP@xfa\pstFP@split\pstFP@xt\pstFP@xu\pstFP@xv\pstFP@xfb%
+ \pstFP@split\pstFP@yk\pstFP@yl\pstFP@ym\pstFP@yia\pstFP@split\pstFP@yn\pstFP@yo\pstFP@yp\pstFP@yib%
+ \pstFP@split\pstFP@yq\pstFP@yr\pstFP@yz\pstFP@yfa\pstFP@split\pstFP@yt\pstFP@yu\pstFP@yv\pstFP@yfb%
+ %
+ \pstFP@prod=0\relax%
+ \edef\pstFP@rd{}%
+ %
+ %compute result
+ \pstFP@@mul vv \relax\pstFP@saveshift%
+ \pstFP@@mul vu uv \relax\pstFP@saveshift%
+ \pstFP@@mul uu vt tv \relax\pstFP@saveshift%
+ \pstFP@@mul ut tu vz zv \relax\pstFP@saveshift%
+ \pstFP@@mul tt zu uz rv vr \relax\pstFP@saveshift%
+ \pstFP@@mul zt tz ur ru vq qv \relax\pstFP@saveshift%
+ \pstFP@@mul zz rt tr uq qu vp pv \relax\pstFP@saveshift%
+ \pstFP@@mul zr rz tq qt up pu vo ov \relax\pstFP@saveshift%
+ \pstFP@@mul rr qz zq tp pt uo ou vn nv \relax\pstFP@saveshift%
+ \pstFP@@mul rq qr zp pz to ot un nu vm mv \relax\pstFP@saveshift%
+ \pstFP@@mul qq rp pr zo oz tn nt um mu vl lv \relax\pstFP@saveshift%
+ \pstFP@@mul qp pq ro or zn nz tm mt ul lu kv vk \relax\pstFP@saveshift%
+ \pstFP@@mul pp oq qo rn nr zm mz tl lt ku uk \relax\pstFP@saveshift%
+ \pstFP@@mul op po nq qn rm mr zl lz tk kt \relax\pstFP@saveshift%
+ \pstFP@@mul oo pn np mq qm rl lr kz zk \relax\pstFP@saveshift%
+ \pstFP@@mul no on mp pm lq ql kr rk \relax\pstFP@saveshift%
+ \pstFP@@mul nn mo om pl lp qk kq \relax\pstFP@saveshift%
+ \pstFP@@mul mn nm lo ok pk kp \relax\pstFP@saveshift%
+ \pstFP@@mul mm ln nl ko ok \relax\pstFP@saveshift%
+ \pstFP@@mul lm ml kn nk \relax\pstFP@saveshift%
+ \pstFP@@mul ll km mk \relax\pstFP@saveshift%
+ \pstFP@@mul kl lk \relax\pstFP@saveshift%
+ \pstFP@@mul kk \relax\pstFP@saveshift\pstFP@saveshift%
+ \pstFP@ninesplit\pstFP@rd%
+ \ifnum\pstFP@res=0\relax%
+ \pstFP@ninesplit\pstFP@rd%
+ \ifnum\pstFP@res=0\relax%
+ \pstFP@ninesplit\pstFP@rd\pstFP@ria=\pstFP@res%
+ \pstFP@ninesplit\pstFP@rd\pstFP@rib=\pstFP@res%
+ \pstFP@ninesplit\pstFP@rd\pstFP@rfa=\pstFP@res%
+ \pstFP@ninesplit\pstFP@rd\pstFP@rfb=\pstFP@res%
+ \pstFP@store\pstFP@tmp{r}%
+ \else\typeout{pstFPmul: Overflow}\fi%
+ \else\typeout{pstFPmul: Overflow}\fi%
+ \global\let\pstFP@tmp\pstFP@tmp}%
+ \let#1\pstFP@tmp%
+}
+%
+\catcode`\@=\PstAtCode\relax
+%
+%% END: pst-fp.tex
+\endinput