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-%% $Id: pst-fp.tex 155 2009-11-30 07:58:45Z herbert $
-%%
-%%
-%% This is file `pst-fp.tex',
-%%
-%% IMPORTANT NOTICE:
-%%
-%% Package `pst-fp.tex'
-%%
-%% Herbert Voss <Herbert.Voss _at_ pstricks.de>
-%% 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{0.04}
-\def\filedate{2009/11/24}
-\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\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
-
-\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%
- }%
-}
-%
-%add two values
-\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 '.'
- %
- {\ifx#8+\relax%
- \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