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%%
%% This is file `lcg.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% lcg.dtx (with options: `lcg')
%%
%% Copyright (C) 2001 Erich Janka (janka@utanet.at)
%%
%% This package may be distributed and/or modified under the terms of the
%% LaTeX Project Public License, as described in lppl.txt in the base
%% LaTeX distribution, either version 1.2 or (at your option)
%% any later version.
%% The latest version of this license is in
%% http://www.latex-project.org/lppl.txt
%%
%% This program consits of the files lcg.dtx and lcg.ins
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{lcg}[2001/03/03 v1.0 generating random numbers]
\RequirePackage{keyval}
\@ifundefined{rand}{}
{\PackageWarning{lcg}{Command `rand' already defined}}
\@ifundefined{r@ndcountername}{}
{\PackageWarning{lcg}{Command `r@ndcountername'
already defined}}
\@ifundefined{r@nd}{}
{\PackageWarning{lcg}{Command `r@nd' already defined}}
\@ifundefined{initr@nd}{}
{\PackageWarning{lcg}{Command `initr@nd' already defined}}
\@ifundefined{cutr@nger@nd}{}
{\PackageWarning{lcg}{Command `cutr@nger@nd' already defined}}
\@ifundefined{@rderr@nd}{}
{\PackageWarning{lcg}{Command `@rderr@nd' already defined}}
\@ifundefined{ProcessOptionsWithKVr@nd}{}
{\PackageWarning{lcg}{Command `ProcessOptionsWithKVr@nd'
already defined}}%
\@ifundefined{qui@t}{}
{\PackageWarning{lcg}{Command `qui@t' already defined}}
\@ifundefined{firstletterr@nd}{}
{\PackageWarning{lcg}{Command `firstletterr@nd' already defined}}
% \end{macrocode}
\@ifundefined{c@f@rst}{}
{\PackageWarning{lcg}{Counter `f@rst' already defined}}
\@ifundefined{c@l@st}{}
{\PackageWarning{lcg}{Counter `l@st' already defined}}
\@ifundefined{c@cr@nd}{}
{\PackageWarning{lcg}{Counter `cr@nd' already defined}}
\@ifundefined{f@rst}{}
{\PackageWarning{lcg}{Existing command `f@rst' conflicts
with counter `f@rst'}}
\@ifundefined{l@st}{}
{\PackageWarning{lcg}{Existing command `l@st' conflicts
with counter `l@st'}}
\@ifundefined{cr@nd}{}
{\PackageWarning{lcg}{Existing command `cr@nd' conflicts
with counter `cr@nd'}}
\def\initr@nd{%
\def\r@ndcountername{rand}%
\newcount \f@rst
\newcount \l@st
\newcount \cr@nd
\pr@keysr@nd%
\ProcessOptionsWithKVr@nd{Init}%
\p@stkeysr@nd%
\@utputr@nd%
} % end of \def\initr@nd
\def\reinitrand{\@ifnextchar[\@reinitr@nd{\@reinitr@nd[]}}%
\def\@reinitr@nd[#1]{%
\pr@keysr@nd%
\setkeys{Init}{#1}%
\p@stkeysr@nd%
\@utputr@nd%
}% end of \def\reinitrand
\def\chgrand{\@ifnextchar[\@chgr@nd{\@chgr@nd[]}}
\def\@chgr@nd[#1]{%
\@tempcnta = \z@
\@tempcntb = \z@
\setkeys{Init}{#1}%
\p@stkeysr@nd%
\@utputr@nd%
} % end of \def\chgrand
\def\ProcessOptionsWithKVr@nd#1{%
\let\@tempa\@empty
\@for\CurrentOption:=\@classoptionslist\do{%
\@ifundefined{KV@#1@\CurrentOption}%
{}{\edef\@tempa{\@tempa,\CurrentOption,}}}
\edef\@tempa{%
\noexpand\setkeys{#1}{\@tempa\@ptionlist{\@currname.\@currext}}}
\@tempa
\AtEndOfPackage{\let\@unprocessedoptions\relax}}
\define@key{Init}{first}[1]{\f@rst = #1}
\define@key{Init}{last}[2147483647]{\l@st = #1}
\define@key{Init}{counter}[rand]{\def\r@ndcountername{#1}}
\define@key{Init}{seed}[\z@]{% seed for random number generator
\ifnum #1 < \z@%
\PackageWarning{lcg}{Seed should be > 0 --
Seed will be initialized with the actual time}%
\cr@nd = \z@%
\else%
\cr@nd = #1
\typeout{Random number generator initialized to #1}%
\fi%
}
\define@key{Init}{quiet}[y]{
\def\qui@t{\expandafter\firstletterr@nd #1\delimiter}
\if\qui@t y % nothing to do
\else\if\qui@t Y \def\qui@t{y}
\else\if\qui@t j \def\qui@t{y}
\else\if\qui@t J \def\qui@t{y}
\else\if\qui@t n \def\qui@t{n}
\else\if\qui@t N \def\qui@t{n}
\else
\PackageWarning{lcg}{Value of key <quiet> must be <y> or <n>}
\def\qui@t{y}
\fi\fi\fi\fi\fi\fi
}
\def\pr@keysr@nd{%
\f@rst = \@ne % 1
\l@st = 2147483647 % 2147483647
\cr@nd = \z@ % 0
\@tempcnta = \z@
\@tempcntb = \z@
\def\r@ndcountername{rand}%
\def\qui@t{n}
} % end of newcommand\def\pr@keysr@nd
\def\p@stkeysr@nd{%
\@rderr@nd% last < first -> swap
\cutr@nger@nd% range too big -> cut
\@ifundefined{c@\r@ndcountername}{\newcounter{\r@ndcountername}}%
{%
\PackageWarning{lcg}{Using an already existing
counter \r@ndcountername}%
}%
\setcounter{\r@ndcountername}{0}%
} % end of \def\p@stkeysr@nd
\def\firstletterr@nd#1#2\delimiter{#1}
\def\@utputr@nd{%
\if\qui@t y
% do nothing
\else
\typeout{Smallest possible random number: \the\f@rst}%
\typeout{Largest possible random number: \the\l@st}%
\typeout{The pseudo random numbers will be stored
in the LaTeX counter `\r@ndcountername'}%
\fi
}
\def\@rderr@nd{%
\ifnum \l@st < \f@rst%
\PackageWarning{lcg}{Key `last' less than key `first'
-- swapped}%
\@tempcnta = \f@rst
\f@rst = \l@st
\l@st = \@tempcnta
\fi%
}% end of \def\@rderr@nd
\def\cutr@nger@nd{%
\@tempcntb = -2147483646 % -2^31 + 2
\@tempcnta = \f@rst
\advance \@tempcntb \l@st
\multiply \@tempcntb \m@ne
\advance \@tempcnta \@tempcntb
\ifnum \@tempcnta < \z@%
\PackageWarning{lcg}{Range contains too many numbers
-- right border reset to largest possible value}%
\advance \l@st \@tempcnta
\fi%
}% end of \checkr@ange
\def\rand{%
\r@nd%
\@tempcnta
\@tempcntb
\@tempcnta = \f@rst
\@tempcntb = \l@st
\multiply \@tempcnta \m@ne
\advance \@tempcntb \@tempcnta
\advance \@tempcntb \@ne %l@st-f@rst+1
\@tempcnta = 2147483647
\divide \@tempcnta \@tempcntb
\multiply \@tempcnta \@tempcntb
\ifnum \cr@nd > \@tempcnta
\rand%
\else
\setcounter{\r@ndcountername}{\cr@nd}%
\@tempcnta = \cr@nd
\divide \@tempcnta \@tempcntb
\multiply \@tempcnta \@tempcntb
\multiply \@tempcnta \m@ne
\addtocounter{\r@ndcountername}{\@tempcnta}%
\addtocounter{\r@ndcountername}{\f@rst}%
\fi
} % end of \rand
\def\r@nd{%
\ifnum \cr@nd < \@ne% then ... initialize generator
\cr@nd = \the\time
\advance \cr@nd \inputlineno
\multiply \cr@nd \thepage
\advance \cr@nd \the\year
\multiply \cr@nd \the\month
\multiply \cr@nd \the\day
\advance \cr@nd \inputlineno
\if\qui@t y
\else
\typeout{Random number generator initialized to \the\cr@nd}%
\fi
\r@nd%
\else % else ... generate new number
\@tempcnta = \cr@nd
\divide \@tempcnta 127773 % \@tempcnta = floor(z/q)
\@tempcntb = \@tempcnta % \@tempcntb = floor(z/q)
\multiply \@tempcnta -2836 % \@tempcnta = -r*floor(z/q)
\multiply \@tempcntb -127773 % \@tempcntb = -q*floor(z/q)
\advance \cr@nd \@tempcntb % cr@nd = z mod q
\multiply \cr@nd 16807 % cr@nd = a * (z mod q)
\advance \cr@nd \@tempcnta % cr@nd = a*z mod m
\ifnum \cr@nd < \z@%
\advance \cr@nd 2147483647 % cr@nd = (a*z mod m) > 0
\fi
\fi
}% end of \r@nd
\initr@nd % initialize the package
\endinput
%%
%% End of file `lcg.sty'.
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