X-Git-Url: https://git.madduck.net/etc/texmf.git/blobdiff_plain/5c8533a0353e197abe78b63950c92cbeed000c30..3b76089a8340f8a364673f1eb466a2e9f6d54e05:/.texmf/tex/latex/realcalc.tex?pf=etc

diff --git a/.texmf/tex/latex/realcalc.tex b/.texmf/tex/latex/realcalc.tex
deleted file mode 100644
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--- a/.texmf/tex/latex/realcalc.tex
+++ /dev/null
@@ -1,581 +0,0 @@
-%% realcalc.tex
-%%
-%% (C) Frank Buchholz, Jan. 1993
-%% e-mail: buchholz@lusty.informatik.uni-dortmund.de
-%  User documentation: All lines starting with two %
-%  Try grep to extract these lines.
-%%
-%% Real arithmetic with big values and high precision.
-%% Calculations are done with 9 decimal digits.
-%% Usable with TeX and LaTeX.
-%%
-%% Parameter:
-%%
-%% 	<macro> Macro, witch catches the result.
-%% 	<value> String or macro witch expands to a value in the range 
-%% 		    from -2147483647.999999999 to 2147483647.999999999
-%%	<precision> Number from 0 to 9
-%%
-%% Functions:
-%%
-
-% Don't read this file twice
-\ifx\Radd\undefined \else \endinput \fi
-
-% Make "@" be a letters
-\chardef\catamp=\the\catcode`\@
-\catcode`@=11
- 
-\def\@Rversion{Version 1.0, Jan. 1993}
-\message{`Real arithmetic', \@Rversion (C) Frank Buchholz}
-
-% Allocation of temporary registers
-\newcount\@ta
-\newcount\@tb
-%
-\newcount\@xs	% Sign of 1st value
-\newcount\@xi	% Integer part of 1st value
-\newcount\@xf	% Fractional part of 1st value
-%
-\newcount\@ys	% Sign of 2nd value
-\newcount\@yi	% Integer part of 2nd value
-\newcount\@yf	% Fractional part of 2nd value
-%
-\newcount\@mil	\@mil=1000000000	% 10^9
-%
-\countdef\@xa240
-\countdef\@xb241
-\countdef\@xc242
-\countdef\@xd243
-\countdef\@xe244
-\countdef\@ya245
-\countdef\@yb246
-\countdef\@yc247
-\countdef\@yd248
-\countdef\@ye249
-\let\@f=\@tb
-\let\@product=\@ta
-
-\chardef\@zero=0
-
-%% 	\Radd<macro><value><value>	 	Addition
-\def\Radd#1#2#3{\@callc\@Radd#1{#2}{#3}}
-
-%% 	\Rsub<macro><value><value>	 	Subtraction
-\def\Rsub#1#2#3{\@callc\@Radd#1{#2}{-#3}}
-
-\def\@Radd#1#2.#3.#4\relax#5.#6.#7\relax{%
-  % #1 Macro, witch 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 '.'
-  %
-  \@readvalue\@xs\@xi\@xf{#2}{#3}%
-  \@readvalue\@ys\@yi\@yf{#5}{#6}%
-  %
-  % Add integer parts
-  \@ta=\@xi \advance\@ta\@yi%
-  %
-  % Add fractional parts if they are not zero
-  \ifnum\@xf=\@zero%
-    \ifnum\@yf=\@zero%
-      \@tb=\@zero%
-    \else%
-      \@longadd%
-    \fi%
-  \else%
-    \@longadd%
-  \fi%
-  %
-  % Store result
-  \@store#1\@ta\@tb%
-}
-
-\def\@longadd{%
-    % Propagate sign to fractional parts
-    \multiply\@xf\@xs \multiply\@yf\@ys%
-    %
-    % Add fractional parts
-    \@tb=\@xf \advance\@tb\@yf%
-    %
-    % Calculate carry
-    \ifnum\@tb<\@zero% 
-      \ifnum\@tb<-\@mil      \advance\@ta -\@ne \advance\@tb\@mil  \fi% 
-    \else% 
-      \ifnum\@tb<\@mil \else \advance\@ta \@ne	\advance\@tb-\@mil \fi% 
-    \fi%
-} 
-
-%% 	\Rmul<macro><value><value>	 	Multiplication
-\def\Rmul#1#2#3{\@callc\@Rmul#1{#2}{#3}}
-
-\def\@Rmul#1#2.#3.#4\relax#5.#6.#7\relax{%
-  % #1 Macro, witch 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 '.'
-  %
-  % How to do real multiplications:
-  % Split values in various parts
-  % x y = 1234 567890 . 123 456 789
-  % ->	  xa   xb	xc  xd	xe
-  % ->	  ya   yb	yc  yd	ye
-  % Do 21 (!) integer multiplications if there are any fractional parts
-  % r = x * Y
-  % -> r =   xi*yi
-  %	   + (xa*yc + xa*yc		     )*10^3 
-  %	   + (xa*yd + xd*ya		     )*10^-0 
-  %	   + (xa*ye + xe*ya  +	xb*yc + xc*yb)*10^-3 
-  %	   + (xb*yd + xd*yb  +	xc*yc	     )*10^-6 
-  %	   + (xb*ye + xe*yb  +	xc*yd + xd*yc)*10^-9 
-  %	   + (xc*ye + xe*yc  +	xd*yd	     )*10^-12 
-  %	   + (xd*ye + xe*yd		     )*10^-15 
-  %	   + (xe*ye			     )*10^-18
-  %
-  % -> r = ((((( xe*ye				     / 1000 
-  %		+ xd*ye + xe*yd 		  ) / 1000
-  %	       + xc*ye + xe*yc	+  xd*yd	 ) / 1000
-  %	      + xb*ye + xe*yb  +  xc*yd + xd*yc ) / 1000
-  %	     + xb*yd + xd*yb  +  xc*yc	       ) / 1000
-  %	    + xa*ye + ye*xa  +	xb*yc + xc*yb ) / 1000
-  %	   + xa*yd + xd*ya + (xa*yc + ya*xc)*1000 + xi*yi
-  % The last three digigs are saved just before the divisions.
-  %
-  % Init 
-  %
-  \@readvalue\@xs\@xi\@xf{#2}{#3}%
-  \@readvalue\@ys\@yi\@yf{#5}{#6}%
-  %
-  % Sign
-  \multiply\@xi\@xs%
-  \multiply\@yi\@ys%
-  \multiply\@xs\@ys%
-  %
-  \@product=\@zero%
-  % 
-  \ifnum\@xf=\@zero%
-    \ifnum\@yf=\@zero%
-      % No fractional parts
-      \edef\@frac{000000000}	% digits of fractional part  
-    \else%
-      \@longmul			% Long multiplication		
-    \fi%
-  \else%
-    \@longmul			% Long multiplication		
-  \fi%
-  %
-  % Multiply integer parts
-  \count@=\@xi \multiply\count@\@yi%
-  \advance\@product\count@%
-  %
-  % Sign
-  \multiply\@product\@xs%
-  %
-  % Store result
-  \edef#1{\number\@product.\@frac}%
-}
-
-% Do long multiplication
-\def\@longmul{%
-    % Split values in pieces
-    \@f=1000000%
-    \count@=\@xi%		
-    \divide\count@\@f					\@xa=\count@%
-    \multiply\count@-\@f	\advance\count@\@xi	\@xb=\count@%
-    \count@=\@xf%		
-    \divide\count@\@f					\@xc=\count@%
-    \multiply\count@-\@f	\advance\count@\@xf%	
-    \@f=1000%
-    \@xe=\count@%
-    \divide\count@\@f					\@xd=\count@%
-    \multiply\count@-\@f	\advance\count@\@xe	\@xe=\count@%
-    % 
-    \@f=1000000%
-    \count@=\@yi%		
-    \divide\count@\@f					\@ya=\count@%
-    \multiply\count@-\@f	\advance\count@\@yi	\@yb=\count@%
-    \count@=\@yf%		
-    \divide\count@\@f					\@yc=\count@%
-    \multiply\count@-\@f	\advance\count@\@yf%	
-    \@f=1000%
-    \@ye=\count@%
-    \divide\count@\@f					\@yd=\count@%
-    \multiply\count@-\@f	\advance\count@\@ye	\@ye=\count@%
-    %
-    \edef\@frac{} 				% digits of fractional part
-    % 
-    \@mul ee	      \relax\@shift		% 10^-18
-    \@mul de ed       \relax\@shift		% 10^-15
-    \@mul ce ec dd    \relax\@shift		% 10^-12
-    \@mul be eb cd dc \relax\@saveshift		% 10^-9
-    \@mul bd db cc    \relax\@saveshift		% 10^-6
-    \@mul ae ea bc cb \relax\@saveshift		% 10^-3
-    \multiply\@xa\@f  \multiply\@xc\@f		% 10^3
-    \@mul ad da ac ca \relax%			
-}
-
-\def\@mul#1#2#3{%
-  \count@=\csname @x#1\endcsname%
-  \multiply\count@\csname @y#2\endcsname%
-  \advance\@product\count@%
-  %
-  \ifx#3\relax%
-    \let\next=\relax% 
-  \else%
-    \let\next=\@mul%
-  \fi%
-  \next#3%
-}
-
-\def\@shift{%
-  \divide\@product\@f%
-}
-
-\def\@saveshift{%
-  % Save rightmost digits 
-  \count@=\@product%
-  \divide\@product\@f%
-  \multiply\@product\@f%
-  \advance\count@-\@product%
-  \advance\count@\@f%
-  \edef\@frac{\expandafter\@ignorenext\number\count@\@frac}%
-  %
-  \divide\@product\@f%
-}
-
-%% 	\Rdiv<macro><value><value>	 	Division
-\def\Rdiv#1#2#3{\@callc\@Radd#1{#2}{#3}}
-
-\def\@Rdiv#1#2.#3.#4\relax#5.#6.#7\relax{%
-  % #1 Macro, witch 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 '.'
-  %
-  \message{Error: Rdiv not ready}
-  %
-  \@readvalue\@xs\@xi\@xf{#2}{#3}%
-  \@readvalue\@ys\@yi\@yf{#5}{#6}%
-  %
-  \ifnum\@yi=\@zero
-    \@xi=\@zero
-  \else
-    \divide\@xi\@yi
-  \fi
-  %
-  \@store#1\@xi\@xf%
-}
-
-%%	\Rneg<macro><value>		Negation
-\def\Rneg#1#2{%
-  % Expand the value and split it into the integer and the fractional part
-  \edef\next{\noexpand\@Rneg\noexpand#1#2..\noexpand\relax}%
-  \next%
-}
-
-\def\@Rneg#1#2.#3.#4\relax{
-  % #1 Macro, witch gets the result
-  % #2 Integer part of value
-  % #3 Fractional part of value
-  % #4 Remaining tokens
-  %
-  \@readvalue\@xs\@xi\@xf{#2}{#3}%
-  %
-  % Change sign
-  \multiply\@xi-\@ne%
-  \multiply\@xf-\@xs%
-  % 
-  % Store result
-  \@store#1\@xi\@xf%
-}
-
-%%
-%%	\Rtrunc<macro><precision><value> Truncate value to specified precision
-\def\Rtrunc#1#2#3{%
-  % Expand parameter and split the value into the integer and fractional part 
-  \edef\next{\noexpand\@Rtrunc\noexpand#1#2#3..\noexpand\relax}%
-  \next%
-}
-
-\def\@Rtrunc#1#2#3.#4.#5\relax{%
-  % #1 Macro, witch gets the result
-  % #2 Number of decimal places
-  % #3 Integer part of value
-  % #4 Fractional part of value
-  % #5 dummy to swallow everthing after the 2nd '.'
-  %
-  \count@=#2%
-  \edef\next{\empty}%
-  \ifnum\count@>\@zero%
-    \expandafter\@@Rtrunc#4000000000\relax%
-  \fi%
-  \edef#1{#3\next}%
-}
-
-\def\@@Rtrunc#1#2#3#4#5#6#7#8#9{%
-  % #1...#9 fractional part, padded with trailing zeros
-  \edef\next{.#1%
-    \ifnum\count@>1 #2\fi%
-    \ifnum\count@>2 #3\fi%
-    \ifnum\count@>3 #4\fi%
-    \ifnum\count@>4 #5\fi%
-    \ifnum\count@>5 #6\fi%
-    \ifnum\count@>6 #7\fi%
-    \ifnum\count@>7 #8\fi%
-    \ifnum\count@>8 #9\fi%
-  }%
-  \@swallow%
-}
-
-%%
-%%	\Rifle<value><value>		Test v1 < v2
-\def\Rifle#1#2{\@callb\@Rifle{#1}{#2}}
-
-\def\@Rifle#1.#2.#3\relax#4.#5.#6\relax{%
-  % #1 integer part of 1st value 
-  % #2 fractional part of 1st value
-  % #3 dummy to swallow everthing after the 2nd '.'
-  % #4 integer part of 2nd value 
-  % #5 fractional part of 2nd value
-  % #6 dummy to swallow everthing after the 2nd '.'
-  %
-  \@readvalue\@xs\@xi\@xf{#1}{#2}%
-  \@readvalue\@ys\@yi\@yf{#4}{#5}%
-  %
-  \ifnum\@xs<\@ys% 
-    \Rtesttrue% 
-  \else%
-    \ifnum\@xs>\@ys% 
-      \Rtestfalse%
-    \else%
-      \Rtestfalse%
-      \ifnum\@xi<\@yi \Rtesttrue \fi%
-      \ifnum\@xi=\@yi%
-	\multiply\@xf\@xs \multiply\@yf\@ys%
-	\ifnum\@xf<\@yf \Rtesttrue \fi% 
-      \fi%
-    \fi%
-  \fi%
-  %
-  \ifRtest%
-}
-
-%%	\Rifeq<value><value>		Test v1 = v2
-\def\Rifeq#1#2{\@callb\@Rifeq{#1}{#2}}
-
-\def\@Rifeq#1.#2.#3\relax#4.#5.#6\relax{%
-  % #1 integer part of 1st value 
-  % #2 fractional part of 1st value
-  % #3 dummy to swallow everthing after the 2nd '.'
-  % #4 integer part of 2nd value 
-  % #5 fractional part of 2nd value
-  % #6 dummy to swallow everthing after the 2nd '.'
-  %
-  \@readvalue\@xs\@xi\@xf{#1}{#2}%
-  \@readvalue\@ys\@yi\@yf{#4}{#5}%
-  %
-  \Rtestfalse%
-  \ifnum\@xi=\@yi\ifnum\@xf=\@yf \Rtesttrue \fi\fi%
-  \ifRtest%
-}
-
-%%	\Rifgt<value><value>		Test v1 > v2
-\def\Rifgt#1#2{\@callb\@Rifgt{#1}{#2}}
-
-\def\@Rifgt#1.#2.#3\relax#4.#5.#6\relax{%
-  % #1 integer part of 1st value 
-  % #2 fractional part of 1st value
-  % #3 dummy to swallow everthing after the 2nd '.'
-  % #4 integer part of 2nd value 
-  % #5 fractional part of 2nd value
-  % #6 dummy to swallow everthing after the 2nd '.'
-  %
-  \@readvalue\@xs\@xi\@xf{#1}{#2}%
-  \@readvalue\@ys\@yi\@yf{#4}{#5}%
-  %
-  \ifnum\@xs>\@ys% 
-    \Rtesttrue% 
-  \else%
-    \ifnum\@xs<\@ys% 
-      \Rtestfalse% 
-    \else%
-      \Rtestfalse%
-      \ifnum\@xi>\@yi \Rtesttrue \fi%
-      \ifnum\@xi=\@yi% 
-	\multiply\@xf\@xs \multiply\@yf\@ys%
-	\ifnum\@xf>\@yf \Rtesttrue \fi% 
-      \fi%
-    \fi%
-  \fi%
-  %
-  \ifRtest%
-}
-
-%%	\Rifneg<value>			Test v < 0
-\def\Rifneg#1{\@calla\@Rifneg{#1}}
-
-\def\@Rifneg#1.#2.#3\relax{%
-  % #1 Integer part of value
-  % #2 Fractional part of value
-  % #3 dummy to swallow everthing after the 2nd '.'
-   %
-   \@readvalue\@xs\@xi\@xf{#1}{#2}%
-   %
-   \ifnum\@xs<0 \Rtesttrue \else \Rtestfalse \fi%
-   \ifRtest%
- }
-
-%%	\Rifzero<value>			Test v = 0
-\def\Rifzero#1{\@calla\@Rifzero{#1}}
-
-\def\@Rifzero#1.#2.#3\relax{%
-  % #1 Integer part of value
-  % #2 Fractional part of value
-  % #3 dummy to swallow everthing after the 2nd '.'
-  %
-  \@readvalue\@xs\@xi\@xf{#1}{#2}%
-  %
-  \Rtestfalse%
-  \ifnum\@xi=\@zero \ifnum\@xf=\@zero \Rtesttrue \fi \fi%
-  \ifRtest%
-}
-
-%%	\Rifpos<value>			Test v >= 0
-%%					Take care to have a corresponding \fi
-\def\Rifpos#1{\@calla\@Rifpos{#1}}
-
-\def\@Rifpos#1.#2.#3\relax{%
-  % #1 Integer part of value
-  % #2 Fractional part of value
-  % #3 dummy to swallow everthing after the 2nd '.'
-  %
-  \@readvalue\@xs\@xi\@xf{#1}{#2}%
-  %
-  \ifnum\@xs<0 \Rtestfalse \else \Rtesttrue \fi%
-  \ifRtest%
-}
-
-%%	\Rifint<value>			Test v is an integer value
-%%					Take care to have a corresponding \fi
-\def\Rifint#1{\@calla\@Rifint{#1}}
-
-\def\@Rifint#1.#2.#3\relax{%
-  % #1 Integer part of value
-  % #2 Fractional part of value
-  % #3 dummy to swallow everthing after the 2nd '.'
-  %
-  \@readvalue\@xs\@xi\@xf{#1}{#2}%
-  %
-  \ifnum\@xf=0 \Rtesttrue \else \Rtestfalse \fi%
-  \ifRtest%
-}
-
-% Utility macros
-
-\def\@calla#1#2{%
-  % #1 Macro to call
-  % #2 Value
-  % Expand the value and split them into the integer and the fractional part
-  \edef\next{\noexpand#1#2..\noexpand\relax}%
-  \next%
-}
-
-\def\@callb#1#2#3{%
-  % #1 Macro to call
-  % #2 1st value
-  % #3 2nd value
-  % Expand the values and split them into the integer and the fractional parts 
-  \edef\next{\noexpand#1#2..\noexpand\relax#3..\noexpand\relax}%
-  \next%
-}
-
-\def\@callc#1#2#3#4{%
-  % #1 Macro to call
-  % #2 Macro, witch 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%
-}
-
-%% 	\ifRtest ... \else ... \fi	Re-execute the last test
-\newif\ifRtest
-
-%
-% Read value
-%
-\def\@readvalue#1#2#3#4#5{%
-  % #1	  macro to catch the sign ( -1 or 1 )
-  % #2	  macro to catch the integer part (maybe negative)
-  % #3	  macro to catch the fractional part (positive)
-  % #4.#5 value
-  %
-  % Regular expression [-...d]d...["."[d...]]
-  % Attention: There has to be at least one digit between "-" and "."!
-  %
-  % Integer part
-  \if !#4! #2=\@zero \else #2=#4 \fi%
-  %
-  % Sign
-  \ifnum#2<\@zero #1=-\@ne \else #1=\@ne \fi%
-  \ifnum#2=\@zero \ifnum #4#5<\@zero #1=-\@ne \fi \fi%
-  %
-  % Fractional part
-  \if !#5!% 
-    #3=\@zero%
-  \else%
-    \@@setcount@#5000000000\relax%
-    #3=\count@%
-  \fi%
-}
-
-% Set count@ to fractional part with trailing zeros
-\def\@@setcount@#1#2#3#4#5#6#7#8#9{%
-  % #1...#9 fractional part, padded with '0'
-  \count@=#1#2#3#4#5#6#7#8#9%
-  \@swallow%
-}
-
-% Swallow everything up to next \relax
-\def\@swallow#1\relax{}
-
-%
-% Store result 
-%
-\def\@store#1#2#3{%
-  % #1 marcro to catch the result
-  % #2 counter with integer part (maybe negative)
-  % #3 counter with fractional part (maybe negative}
-  % 
-  % Sign
-  \edef#1{}%
-  \count@=#3%
-  \ifnum\count@<\@zero% 
-    \count@=-\count@%
-    \ifnum#2=\@zero% 
-      \edef#1{-}%
-    \fi%
-  \fi%
-  %
-  % Pad fractional part with leading zeros
-  \advance\count@\@mil%
-  %
-  % Store result 
-  \edef#1{#1\number#2.\expandafter\@ignorenext\number\count@}%
-}
-
-% Ignore next token
-\def\@ignorenext#1{}
-
-% Restore catcode of "@"
-\catcode`\@=\catamp
