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diff --git a/Master/texmf-dist/tex/context/base/thrd-ran.tex b/Master/texmf-dist/tex/context/base/thrd-ran.tex new file mode 100644 index 00000000000..7a186204b1d --- /dev/null +++ b/Master/texmf-dist/tex/context/base/thrd-ran.tex @@ -0,0 +1,168 @@ +% Since we cannot be sure that this file is available at any +% system, we have copied the original in this file. These +% macros are encapsulates and extended in supp-ran.tex. +% +% This module is slightly recoded to bring it more in tune +% with \CONTEXT's scratch registers and protection mechanisms. + +% RANDOM.TEX v.1 (Donald Arseneau) +% Generating "random" numbers in TeX. +% +% Random integers are generated in the range 1 to 2147483646 by the +% macro \nextrandom. The result is returned in the counter \randomi. +% Do not change \randomi except, perhaps, to initialize it at some +% random value. If you do not initialize it, it will be initialized +% using the time and date. (This is a sparse initialization, giving +% fewer than a million different starting values, but you should use +% other sources of numbers if they are available--just remember that +% most of the numbers available to TeX are not at all random.) +% +% The \nextrandom command is not very useful by itself, unless you +% have exactly 2147483646 things to choose from. Much more useful +% is the \setrannum command which sets a given counter to a random +% value within a specified range. There are three parameters: +% \setrannum {<counter>} {<minimum>} {<maximum>}. For example, to +% simulate a die-roll: \setrannum{\die}{1}{6} \ifcase\die... . +% +% If you need random numbers that are not integers, you will have to +% use dimen registers and \setrandimen. For example, to set a random +% page width: \setrandimen \hsize{3in}{6.5in}. The "\pointless" macro +% will remove the "pt" that TeX gives so you can use the dimensions +% as pure `real' numbers. In that case, specify the range in pt units. +% For example, +% +% \setrandimen\answer{2.71828pt}{3.14159pt} +% The answer is \pointless\answer. +% +% The random number generator is the one by Lewis, Goodman, and Miller +% (1969) and used as "ran0" in "Numerical Recipies" using Schrage's +% method for avoiding overflows. The multiplier is 16807 (7^5), the +% added constant is 0, and the modulus is 2147483647 (2^{31}-1). The +% range of integers generated is 1 - 2147483646. A smaller range would +% reduce the complexity of the macros a bit, but not much--most of the +% code deals with initialization and type-conversion. On the other hand, +% the large range may be wasted due to the sparse seed initialization. + +% original code +% +% \newcount\randomi % the random number seed (while executing) +% \global\randomi\catcode`\@ % scratch variable during definitions +% \catcode`\@=11 +% +% \def\nextrandom{\begingroup +% \ifnum\randomi<\@ne % then initialize with time +% \global\randomi\time +% \global\multiply\randomi388 \global\advance\randomi\year +% \global\multiply\randomi31 \global\advance\randomi\day +% \global\multiply\randomi97 \global\advance\randomi\month +% \message{Randomizer initialized to \the\randomi.}% +% \nextrandom \nextrandom \nextrandom +% \fi +% \count@ii\randomi +% \divide\count@ii 127773 % modulus = multiplier * 127773 + 2836 +% \count@\count@ii +% \multiply\count@ii 127773 +% \global\advance\randomi-\count@ii % random mod 127773 +% \global\multiply\randomi 16807 +% \multiply\count@ 2836 +% \global\advance\randomi-\count@ +% \ifnum\randomi<\z@ \global\advance\randomi 2147483647\relax\fi +% \endgroup +% } +% +% \countdef\count@ii=2 % use only in boxes! +% \ifx\@tempcnta\undefined \csname newcount\endcsname \@tempcnta \fi +% \ifx\@tempcntb\undefined \csname newcount\endcsname \@tempcntb \fi +% +% \def\setrannum#1#2#3{% count register, minimum, maximum +% \@tempcnta#3\advance\@tempcnta-#2\advance\@tempcnta\@ne +% \@tempcntb 2147483645 % = m - 2 = 2^{31} - 3 +% \divide\@tempcntb\@tempcnta +% \getr@nval +% \advance\ranval#2\relax +% #1\ranval +% } +% +% \def\setrandim#1#2#3{% dimen register, minimum length, maximum length +% \dimen@#2\dimen@ii#3\relax +% \setrannum\ranval\dimen@\dimen@ii +% #1\ranval sp\relax +% } +% +% \def\getr@nval{% The values in \@tempcnta and \@tempcntb are parameters +% \nextrandom +% \ranval\randomi \advance\ranval\m@ne \divide\ranval\@tempcntb +% \ifnum\ranval<\@tempcnta\else \expandafter\getr@nval \fi +% } +% +% %D The next macro is not needed in \CONTEXT, which provides +% %D the \type {\withoutpt} macro. +% %D +% %D \starttyping +% %D \def\pointless{\expandafter\PoinTless\the} +% %D {\catcode`p=12 \catcode`t=12 \gdef\PoinTless#1pt{#1}} +% %D \stoptyping +% +% \catcode`\@=\randomi +% \global\randomi=0 +% \newcount\ranval + +% the recoded version, using \CONTEXT\ methods and variables; +% the magic is kept untouched + +\unprotect + +\newcount\randomi % the random number seed (while executing) +\newcount\ranval + +\ifx\m!systems\undefined \def\m!systems{system} \fi + +\def\nextrandom + {\begingroup + \ifnum\randomi<\plusone % then initialize with time + \global\randomi\time + \global\multiply\randomi388 \global\advance\randomi\year + \global\multiply\randomi 31 \global\advance\randomi\day + \global\multiply\randomi 97 \global\advance\randomi\month + \writestatus\m!systems{randomizer starts with \the\randomi}% + \nextrandom \nextrandom \nextrandom + \fi + \!!countd\randomi + \divide\!!countd 127773 % modulus = multiplier * 127773 + 2836 + \!!countc\!!countd + \multiply\!!countd 127773 + \global\advance\randomi-\!!countd % random mod 127773 + \global\multiply\randomi 16807 + \multiply\!!countc 2836 + \global\advance\randomi-\!!countc\relax + \ifnum\randomi<\zerocount + \global\advance\randomi 2147483647 + \fi + \endgroup} + +\def\setrannum#1#2#3% count register, minimum, maximum + {\!!counta#3% + \advance\!!counta-#2% + \advance\!!counta\plusone + \!!countb 2147483645 % = m - 2 = 2^{31} - 3 + \divide\!!countb\!!counta + \getr@nval + \advance\ranval#2% + #1\ranval} + +\def\setrandim#1#2#3% dimen register, minimum length, maximum length + {\!!dimenc#2% + \!!dimend#3% + \setrannum\ranval\!!dimenc\!!dimend + #1\ranval\s!sp\relax} % \s!sp not needed + +\def\getr@nval % The values in \!!counta and \!!countb are parameters + {\nextrandom + \ranval\randomi + \advance\ranval\minusone + \divide\ranval\!!countb + \ifnum\ranval<\!!counta \else + \expandafter\getr@nval + \fi} + +\protect \endinput |