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\ProvidesPackage{readarray}
[2013/05/09 v1.2
Routines for inputting array data and recalling it on an
element-by-element basis. Currently supports 2-D and 3-D array]
%
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
% The latest version of this license is in
% http://www.latex-project.org/lppl.txt
% and version 1.3c or later is part of all distributions of LaTeX
% version 2005/12/01 or later.
%
% This work has the LPPL maintenance status `maintained'.
%
% The Current Maintainer of this work is Steven B. Segletes.
%
% Revisions:
% v1.01 Documentation revision
% v1.1 Added \csname record\roman{@row}\endcsname to \readdef
% v1.2 -Corrected the [truncated] LPPL license info
% -Added \arrayij and \arrayijk, which can be put into \edef
% -Used \romannumeral in preference to \roman{}, when possible,
% to avoid unnecessary use of counters.
\usepackage{ifthen}
\usepackage{ifnextok}
%
\newcounter{@index}
\newcounter{@plane}
\newcounter{@row}
\newcounter{@col}
\newcounter{use@args}
\newcounter{@record}
\def\the@rule{\rule{.8ex}{1.6ex}}%
%
\newcommand\readArrayijk[4]{%
\getargsC{#1}%
\setcounter{@plane}{\numexpr(\narg/#4/#3)}%
\setcounter{use@args}{\numexpr\arabic{@plane}*#3*#4}%
\ifthenelse{\arabic{use@args} > \narg}{%
\addtocounter{@plane}{-1}%
\setcounter{use@args}{\numexpr\arabic{@plane}*#3*#4}%
}{}%
\expandafter\edef\csname#2PLANES\endcsname{\arabic{@plane}}%
\expandafter\edef\csname#2ROWS\endcsname{#3}%
\expandafter\edef\csname#2COLS\endcsname{#4}%
\expandafter\edef\csname#2CELLS\endcsname{\arabic{use@args}}%
\setcounter{@index}{0}%
\setcounter{@plane}{1}%
\setcounter{@row}{1}%
\setcounter{@col}{0}%
\whiledo{\value{@index} < \value{use@args}}{%
\addtocounter{@index}{1}%
\addtocounter{@col}{1}%
\ifthenelse{\value{@col} > #4}%
{\addtocounter{@row}{1}%
\addtocounter{@col}{-#4}}%
{}%
\ifthenelse{\value{@row} > #3}%
{\addtocounter{@plane}{1}%
\addtocounter{@row}{-#3}}%
{}%
\expandafter\protected@edef%
\csname#2X\roman{@plane}X\roman{@row}X\roman{@col}\endcsname%
{\expandafter\csname arg\roman{@index}\endcsname}%
}%
}
%
\newcommand\readArrayij[3]{%
\getargsC{#1}%
\setcounter{@row}{\numexpr(\narg/#3)}%
\setcounter{use@args}{\numexpr\arabic{@row}*#3}%
\ifthenelse{\arabic{use@args} > \narg}{%
\addtocounter{@row}{-1}%
\setcounter{use@args}{\numexpr\arabic{@row}*#3}%
}{}%
\expandafter\edef\csname#2PLANES\endcsname{1}%
\expandafter\edef\csname#2ROWS\endcsname{\arabic{@row}}%
\expandafter\edef\csname#2COLS\endcsname{#3}%
\expandafter\edef\csname#2CELLS\endcsname{\arabic{use@args}}%
\setcounter{@index}{0}%
\setcounter{@row}{1}%
\setcounter{@col}{0}%
\whiledo{\value{@index} < \value{use@args}}{%
\addtocounter{@index}{1}%
\addtocounter{@col}{1}%
\ifthenelse{\value{@col} > #3}%
{\addtocounter{@row}{1}%
\addtocounter{@col}{-#3}}%
{}%
\expandafter\protected@edef%
\csname#2X\roman{@row}X\roman{@col}\endcsname%
{\expandafter\csname arg\roman{@index}\endcsname}%
}%
}
%
\def\nonposrecordmessage{{\tiny Only positive showrecords permitted}}
\def\recordmessage#1{{\tiny RECORD=#1 exceeds records read}}
%
\def\nonposmessage{{\tiny Only positive array indices permitted}}
\def\planemessage#1#2{{\tiny PLANE=#2 exceeds limit for #1}}
\def\rowmessage#1#2{{\tiny ROW=#2 exceeds limit for #1}}
\def\colmessage#1#2{{\tiny COL=#2 exceeds limit for #1}}
%
\newcommand\arrayijk[4]{%
\csname#1X\romannumeral#2X\romannumeral#3X\romannumeral#4\endcsname%
}
%
\newcommand\Arrayijk[5][$]{%
\ifthenelse{\value{@plane}<1 \OR \value{@row}<1 \OR \value{@col}<1}{%
\if$#1\nonposmessage\else#1\fi}{%
\ifthenelse{#3 > \csname#2PLANES\endcsname}{%
\if$#1\planemessage{#2}{#3}\else#1\fi}{%
\ifthenelse{#4 > \csname#2ROWS\endcsname}{%
\if$#1\rowmessage{#2}{#4}\else#1\fi}{%
\ifthenelse{#5 > \csname#2COLS\endcsname}{%
\if$#1\colmessage{#2}{#5}\else#1\fi}{%
\csname#2X\romannumeral#3X\romannumeral#4X\romannumeral#5\endcsname}%
}%
}%
}%
}
%
\newcommand\arrayij[3]{%
\csname#1X\romannumeral#2X\romannumeral#3\endcsname%
}
%
\newcommand\Arrayij[4][$]{%
\ifthenelse{\value{@row}<1 \OR \value{@col}<1}{%
\if$#1\nonposmessage\else#1\fi}{%
\ifthenelse{#3 > \csname#2ROWS\endcsname}{%
\if$#1\rowmessage{#2}{#3}\else#1\fi}{%
\ifthenelse{#4 > \csname#2COLS\endcsname}{%
\if$#1\colmessage{#2}{#4}\else#1\fi}{%
\csname#2X\romannumeral#3X\romannumeral#4\endcsname}%
}%
}%
}
%
\newcommand\copyrecords[1]{%
\setcounter{@record}{0}%
\whiledo{\value{@record} < \nrecords}{%
\addtocounter{@record}{1}%
\expandafter\protected@edef\csname#1X\roman{@record}Xi\endcsname{%
\csname record\roman{@record}\endcsname}%
}%
\expandafter\edef\csname#1PLANES\endcsname{1}%
\expandafter\edef\csname#1ROWS\endcsname{\nrecords}%
\expandafter\edef\csname#1COLS\endcsname{1}%
\expandafter\edef\csname#1CELLS\endcsname{\nrecords}%
}
%
\newcommand\showrecord[2][$]{%
\ifthenelse{#2<1}{%
\if$#1\nonposrecordmessage\else#1\fi}{%
\ifthenelse{#2 > \nrecords}{%
\if$#1\recordmessage{#2}\else#1\fi}{%
\csname record\romannumeral#2\endcsname}%
}%
}
%
\newcommand\readdef[2]{%
\def\first@row{T}%
\def\first@plane{T}%
\catcode\endlinechar=10\relax%
\def#2{}%
\setcounter{@record}{0}%
\newread\file%
\openin\file=#1%
\loop\unless\ifeof\file%
\read\file to\fileline % Reads a line of the file into \fileline%
\addtocounter{@record}{1}%
\protected@edef#2{#2\fileline}%
\if T\first@row\getargsC{#2}\setcounter{@col}{\numexpr(\narg-1)}%
\edef\ncols{\arabic{@col}}\def\first@row{F}\setcounter{@row}{1}%
\else%
\if T\first@plane\getargsC{\fileline}\ifthenelse{\equal{\narg}{1}}{%
\edef\nrows{\arabic{@row}}\def\first@plane{F}}{%
\addtocounter{@row}{1}}%
\fi%
\fi%
\expandafter\protected@edef\csname record\roman{@record}\endcsname{%
\fileline}%
\repeat%
\edef\nrecords{\arabic{@record}}%
\closein\file%
\catcode\endlinechar=5\relax%
}
%
\newcommand\showargs[1][0]{%
narg=\narg:~%
\the@rule%
\setcounter{arg@index}{0}%
\setcounter{break@count}{0}%
\whiledo{\value{arg@index} < \narg}{%
\addtocounter{arg@index}{1}%
\addtocounter{break@count}{1}%
\csname arg\roman{arg@index}\endcsname%
\the@rule%
\ifthenelse{\equal{#1}{\value{break@count}}}{%
\ifthenelse{\equal{\value{arg@index}}{\narg}}{}{%
\newline\the@rule\addtocounter{break@count}{-#1}}%
}%
{}%
}%
\setcounter{arg@index}{0}%
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% The \getargsC macro mimics the behavior of the \getargs macro
% of the stringstrings package, but runs faster, and can handle
% arbitrary tokens. For the development of \getargsC, significant
% assistance was provided by David Carlisle, for which the author is
% most appreciative.
% http://tex.stackexchange.com/questions/101604/
% parsing-strings-containing-diacritical-marks-macros
%
\def\string@end{$\SaveHardspace}
\def\converttilde{F}
\newcounter{arg@index}
\newcounter{break@count}
\let\SaveHardspace~%%%
%
\def\getargsC#1{%
\if T\converttilde\def~{ }\else\catcode`~=12\fi
\protected@edef\the@string{#1}%
\setcounter{arg@index}{0}%
\lowercase{\expandafter\parse@Block\the@string} \string@end
\let~\SaveHardspace%
\catcode`~=13
}
%
\def\parse@Block#1 {%
\stepcounter{arg@index}%
\@namedef{arg\roman{arg@index}}{#1}%
\futurelet\tmp\parse@Block@}
%
\def\parse@Block@{%
\ifx\tmp\string@end\edef\narg{\thearg@index}\expandafter\@gobble
\else\expandafter\parse@Block\fi}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\endinput
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