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qrcode.sty
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qrcode.sty
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%%
%% This is file `qrcode.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% qrcode.dtx (with options: `package')
%%
%% This is a generated file.
%%
%% Copyright (C) 2014 by Anders Hendrickson <[email protected]>
%%
%% 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 1.3 or later is part of all distributions of LaTeX
%% version 2005/12/01 or later.
%%
\NeedsTeXFormat{LaTeX2e}[1999/12/01]
\ProvidesPackage{qrcode}
[2014/09/26 v1.0 QR code generation]
%%PACKAGE LOADING
\RequirePackage{xcolor}%
\RequirePackage{xkeyval}%
%%INITIAL CODE
\newif\ifqr@draft@mode
\newif\ifqr@forget@mode
%%DECLARATION OF OPTIONS
\define@boolkey{qr}[qr@]{draft}[true]{\ifqr@draft\qr@draft@modetrue\else\qr@draft@modefalse\fi}%
\define@boolkey{qr}[qr@]{final}[true]{\ifqr@final\qr@draft@modefalse\else\qr@draft@modetrue\fi}%
\define@boolkey{qr}[qr@]{forget}[true]{\ifqr@forget\qr@forget@modetrue\else\qr@forget@modefalse\fi}%
%%EXECUTION OF OPTIONS
\qr@draft@modefalse
\qr@forget@modefalse
\ProcessOptionsX<qr>
\newcounter{qr@i}%
\newcounter{qr@j}%
\newcount\qr@a
\newcount\qr@b
\newcount\qr@c
\let\xa=\expandafter
\newlinechar=`\^^J
\def\@relax{\relax}%
\def\preface@macro#1#2{%
% #1 = macro name
% #2 = text to add to front of macro
\def\tempb{#2}%
\xa\xa\xa\def\xa\xa\xa#1\xa\xa\xa{\xa\tempb #1}%
}%
\def\g@preface@macro#1#2{%
% #1 = macro to be appended to
% #2 = code to add
\edef\codeA{#2}%
\xa\xa\xa\gdef\xa\xa\xa#1\xa\xa\xa{\xa\codeA#1}%
}
\def\qr@getstringlength#1{%
\bgroup
\qr@a=0%
\xdef\thestring{#1}%
\xa\qr@stringlength@recursive\xa(\thestring\relax\relax)%
\xdef\qr@stringlength{\the\qr@a}%
\egroup
}%
\def\qr@stringlength@recursive(#1#2){%
\def\testi{#1}%
\ifx\testi\@relax
%we are done.
\let\qr@next=\relax%
\else
\advance\qr@a by 1%
\def\qr@next{\qr@stringlength@recursive(#2)}%
\fi
\qr@next
}%
\newcount\qr@for@depth%
\newcount\qr@for@maxdepth%
\qr@for@depth=0%
\qr@for@maxdepth=0%
\newcount\qr@for@start%
\newcount\qr@for@end%
\newcount\qr@for@step%
\def\qr@allocate@new@for@counter{%
\global\advance\qr@for@maxdepth by 1%
\newcount\qr@newforcount%
\xa\global\xa\let\csname qr@for@var@\the\qr@for@maxdepth\endcsname=\qr@newforcount%
}%
\newif\ifqr@loopshouldrun
\def\qr@for #1=#2to#3by#4#{%
\qr@for@int{#1}{#2}{#3}{#4}%
}%
\long\def\qr@for@int#1#2#3#4#5{%
\bgroup
%Because we're working within a TeX group,
%any values of \qr@for@start, \qr@for@end, and \qr@for@step from an outer loop
%will be restored after the \egroup.
%
%For the \qr@for@var itself, however, we need a different counter,
%because the user's text within the loop might need to access the variable from the outer loop.
\advance\qr@for@depth by 1\relax% This is a local change.
\ifnum\qr@for@depth>\qr@for@maxdepth%
%This is the first time we have gone to this depth of nesting!
%We should only be over by one.
\qr@allocate@new@for@counter%
\fi
\xa\let\xa\qr@for@var\xa=\csname qr@for@var@\the\qr@for@depth\endcsname%
%Now \qr@for@var points to the same register as \qr@for@var@3 or something.
%The next line lets the user-level variable (e.g., \i or \j) point to the same count register.
\let#1=\qr@for@var%
%Now establish the looping parameters.
\edef\qr@for@start@text{#2}%
\edef\qr@for@end@text{#3}%
\edef\qr@for@step@text{#4}%
\def\qr@for@body{\bgroup #5\egroup}%
\xa\qr@for@start\qr@for@start@text\relax%
\xa\qr@for@end \qr@for@end@text\relax%
\xa\qr@for@step \qr@for@step@text\relax%
%
%Next, test whether the loop should run at all.
% * "\qr@for \i = 1 to 0 by 1" should fail.
% * "\qr@for \i = 3 to 5 by -1" should fail.
% * "\qr@for \i = 6 to 2 by 1" should fail.
% * "\qr@for \i = 4 to 4 by -1" should run.
% * "\qr@for \i = 4 to 4 by 1" should run.
% * "\qr@for \i = 5 to 7 by 0" should fail.
%The loop should fail if (step)=0 or if (step) and (end-start) have opposite signs.
%The loop will fail if (step=0) or (step)*(end-start)<0.
% TODO: "\qr@for \i = 5 to 5 by 0" should run (just one iteration).
\qr@loopshouldruntrue
\ifnum\qr@for@step=0\relax
\qr@loopshouldrunfalse
\fi
\qr@a=\qr@for@end%
\advance\qr@a by -\qr@for@start%
\multiply\qr@a by \qr@for@step%
\ifnum\qr@a<0\relax
\qr@loopshouldrunfalse
\fi
\ifqr@loopshouldrun
\qr@for@var=\qr@for@start%
\ifnum\qr@for@step>0\relax
\def\qr@for@recursive{%
\qr@for@body%
\advance\qr@for@var by \qr@for@step%
\ifnum\qr@for@var>\qr@for@end%
\let\qr@for@next=\relax%
\else%
\let\qr@for@next=\qr@for@recursive%
\fi%
\qr@for@next%
}%
\else
\def\qr@for@recursive{%
\qr@for@body%
\advance\qr@for@var by \qr@for@step%
\ifnum\qr@for@var<\qr@for@end%
\let\qr@for@next=\relax%
\else%
\let\qr@for@next=\qr@for@recursive%
\fi%
\qr@for@next%
}%
\fi
\qr@for@recursive%
\fi
\egroup
}%
\def\qr@padatfront#1#2{%
% #1 = macro containing text to pad
% #2 = desired number of characters
% Pads a number with initial zeros.
\qr@getstringlength{#1}%
\qr@a=\qr@stringlength\relax%
\advance\qr@a by 1\relax%
\qr@for \i = \qr@a to #2 by 1\relax%
{\g@preface@macro{#1}{0}}%
}
\qr@a=-1\relax%
\def\qr@savehexsymbols(#1#2){%
\advance\qr@a by 1\relax%
\xa\def\csname qr@hexchar@\the\qr@a\endcsname{#1}%
\xa\edef\csname qr@hextodecimal@#1\endcsname{\the\qr@a}%
\ifnum\qr@a=15\relax
%Done.
\let\qr@next=\relax%
\else
\def\qr@next{\qr@savehexsymbols(#2)}%
\fi%
\qr@next%
}%
\qr@savehexsymbols(0123456789abcdef\relax\relax)%
\def\qr@decimaltobase#1#2#3{%
% #1 = macro to store result
% #2 = decimal representation of a positive integer
% #3 = new base
\bgroup
\edef\qr@newbase{#3}%
\gdef\qr@base@result{}%
\qr@a=#2\relax%
\qr@decimaltobase@recursive%
\xdef#1{\qr@base@result}%
\egroup
}
\def\qr@decimaltobase@recursive{%
\qr@b=\qr@a%
\divide\qr@b by \qr@newbase\relax
\multiply\qr@b by -\qr@newbase\relax
\advance\qr@b by \qr@a\relax%
\divide\qr@a by \qr@newbase\relax%
\ifnum\qr@b<10\relax
\edef\newdigit{\the\qr@b}%
\else
\edef\newdigit{\csname qr@hexchar@\the\qr@b\endcsname}%
\fi
\edef\qr@argument{{\noexpand\qr@base@result}{\newdigit}}%
\xa\g@preface@macro\qr@argument%
\ifnum\qr@a=0\relax
\relax
\else
\xa\qr@decimaltobase@recursive
\fi
}
\newcommand\qr@decimaltohex[3][0]{%
% #1 (opt.) = number of hex digits to create
% #2 = macro to store result
% #3 = decimal digits to convert
\qr@decimaltobase{#2}{#3}{16}%
\qr@padatfront{#2}{#1}%
}
\newcommand\qr@decimaltobinary[3][0]{%
% #1 (opt.) = number of bits to create
% #2 = macro to store result
% #3 = decimal digits to convert
\qr@decimaltobase{#2}{#3}{2}%
\qr@padatfront{#2}{#1}%
}
\qr@for \i = 0 to 15 by 1%
{%
\qr@decimaltohex[1]{\qr@hexchar}{\the\i}%
\qr@decimaltobinary[4]{\qr@bits}{\the\i}%
\xa\xdef\csname qr@b2h@\qr@bits\endcsname{\qr@hexchar}%
\xa\xdef\csname qr@h2b@\qr@hexchar\endcsname{\qr@bits}%
}%
\newcommand\qr@binarytohex[3][\relax]{%
% #1 (optional) = # digits desired
% #2 = macro to save to
% #3 = binary string (must be multiple of 4 bits)
\def\test@i{#1}%
\ifx\test@i\@relax%
%No argument specified
\def\qr@desireddigits{0}%
\else
\def\qr@desireddigits{#1}%
\fi
\gdef\qr@base@result{}%
\edef\qr@argument{(#3\relax\relax\relax\relax\relax)}%
\xa\qr@binarytohex@int\qr@argument%
\qr@padatfront{\qr@base@result}{\qr@desireddigits}%
\xdef#2{\qr@base@result}%
}
\def\qr@binarytohex@int(#1#2#3#4#5){%
% #1#2#3#4 = 4 bits
% #5 = remainder, including \relax\relax\relax\relax\relax terminator
\def\test@i{#1}%
\ifx\test@i\@relax%
%Done.
\def\qr@next{\relax}%
\else%
\xdef\qr@base@result{\qr@base@result\csname qr@b2h@#1#2#3#4\endcsname}%
\def\qr@next{\qr@binarytohex@int(#5)}%
\fi%
\qr@next%
}
\newcommand\qr@hextobinary[3][\relax]{%
% #1 (optional) = # bits desired
% #2 = macro to save to
% #3 = hexadecimal string
\bgroup
\def\test@i{#1}%
\ifx\test@i\@relax%
%No argument specified
\def\qr@desireddigits{0}%
\else
\def\qr@desireddigits{#1}%
\fi
\gdef\qr@base@result{}%
\edef\qr@argument{(#3\relax\relax)}%
\xa\qr@hextobinary@int\qr@argument%
\qr@padatfront{\qr@base@result}{\qr@desireddigits}%
\xdef#2{\qr@base@result}%
\egroup
}
\def\qr@hextobinary@int(#1#2){%
% #1 = hexadecimal character
% #2 = remainder, including \relax\relax terminator
\def\test@@i{#1}%
\ifx\test@@i\@relax%
%Done.
\def\qr@next{\relax}%
\else%
\xdef\qr@base@result{\qr@base@result\csname qr@h2b@#1\endcsname}%
\def\qr@next{\qr@hextobinary@int(#2)}%
\fi%
\qr@next%
}
\def\qr@hextodecimal#1#2{%
\edef\qr@argument{#2}%
\xa\qr@a\xa=\xa\number\xa"\qr@argument\relax%
\edef#1{\the\qr@a}%
}
\def\qr@hextodecimal#1#2{%
% #1 = macro to store result
% #2 = hexadecimal representation of a positive integer
\bgroup
\qr@a=0\relax%
\edef\qr@argument{(#2\relax)}%
\xa\qr@hextodecimal@recursive\qr@argument%
\xdef#1{\the\qr@a}%
\egroup
}
\def\qr@hextodecimal@recursive(#1#2){%
% #1 = first hex char
% #2 = remainder
\advance \qr@a by \csname qr@hextodecimal@#1\endcsname\relax%
\edef\testii{#2}%
\ifx\testii\@relax%
%Done.
\let\qr@next=\relax%
\else
%There's at least one more digit.
\multiply\qr@a by 16\relax
\edef\qr@next{\noexpand\qr@hextodecimal@recursive(#2)}%
\fi%
\qr@next%
}
{\catcode`\ =12\relax\gdef\qr@otherspace{ }}%
{\catcode`\%=12\relax\gdef\qr@otherpercent{%}}%
{\catcode`\#=12\relax\gdef\qr@otherpound{#}}%
{\catcode`\|=0\relax|catcode`|\=12|relax|gdef|qr@otherbackslash{\}}%
\bgroup
\catcode`\<=1\relax
\catcode`\>=2\relax
\catcode`\{=12\relax\gdef\qr@otherleftbrace<{>%
\catcode`\}=12\relax\gdef\qr@otherrightbrace<}>%
\egroup%
{\catcode`\&=12\relax\gdef\qr@otherampersand{&}}%
{\catcode`\~=12\relax\gdef\qr@othertilde{~}}%
{\catcode`\^=12\relax\gdef\qr@othercaret{^}}%
{\catcode`\_=12\relax\gdef\qr@otherunderscore{_}}%
{\catcode`\$=12\relax\gdef\qr@otherdollar{$}}%
\def\qr@verbatimcatcodes{%
\catcode`\#=12\relax
\catcode`\$=12\relax
\catcode`\&=12\relax
\catcode`\^=12\relax
\catcode`\_=12\relax
\catcode`\~=12\relax
\catcode`\%=12\relax
\catcode`\ =12\relax}%
\def\qr@setescapedspecials{%
\let\ =\qr@otherspace%
\let\%=\qr@otherpercent%
\let\#=\qr@otherpound%
\let\&=\qr@otherampersand%
\let\^=\qr@othercaret%
\let\_=\qr@otherunderscore%
\let\~=\qr@othertilde%
\let\$=\qr@otherdollar%
\let\\=\qr@otherbackslash%
\let\{=\qr@otherleftbrace%
\let\}=\qr@otherrightbrace%
}%
\def\qr@creatematrix#1{%
\xa\gdef\csname #1\endcsname##1##2{%
\csname #1@##1@##2\endcsname
}%
}%
\def\qr@storetomatrix#1#2#3#4{%
% #1 = matrix name
% #2 = row number
% #3 = column number
% #4 = value of matrix entry
\xa\gdef\csname #1@#2@#3\endcsname{#4}%
}%
\def\qr@estoretomatrix#1#2#3#4{%
% This version performs exactly one expansion on #4.
% #1 = matrix name
% #2 = row number
% #3 = column number
% #4 = value of matrix
\xa\xa\xa\gdef\xa\xa\csname #1@#2@#3\endcsname\xa{#4}%
}%
\def\qr@matrixentry#1#2#3{%
% #1 = matrix name
% #2 = row number
% #3 = column number
\csname #1@#2@#3\endcsname%
}%
\def\qr@createsquareblankmatrix#1#2{%
\qr@creatematrix{#1}%
\xa\gdef\csname #1@numrows\endcsname{#2}%
\xa\gdef\csname #1@numcols\endcsname{#2}%
\qr@for \i = 1 to #2 by 1%
{\qr@for \j = 1 to #2 by 1%
{\qr@storetomatrix{#1}{\the\i}{\the\j}{\@blank}}}%
}%
\def\qr@numberofrowsinmatrix#1{%
\csname #1@numrows\endcsname%
}%
\def\qr@numberofcolsinmatrix#1{%
\csname #1@numcols\endcsname%
}%
\def\qr@setnumberofrows#1#2{%
\xa\xdef\csname #1@numrows\endcsname{#2}%
}%
\def\qr@setnumberofcols#1#2{%
\xa\xdef\csname #1@numcols\endcsname{#2}%
}%
\newlength\qr@desiredheight
\setlength\qr@desiredheight{2cm}%
\newlength\qr@modulesize
\newlength\qr@minipagewidth
\def\qr@printmatrix#1{%
\def\qr@black{\rule{\qr@modulesize}{\qr@modulesize}}%
\def\@white{\rule{\qr@modulesize}{0pt}}%
\def\qr@black@fixed{\rule{\qr@modulesize}{\qr@modulesize}}%
\def\qr@white@fixed{\rule{\qr@modulesize}{0pt}}%
\def\qr@black@format{\rule{\qr@modulesize}{\qr@modulesize}}%
\def\qr@white@format{\rule{\qr@modulesize}{0pt}}%
%Set module size
\setlength{\qr@modulesize}{\qr@desiredheight}%
\divide\qr@modulesize by \qr@size\relax%
%
\setlength{\qr@minipagewidth}{\qr@modulesize}%
\multiply\qr@minipagewidth by \qr@size\relax%
\ifqr@tight
\else
\advance\qr@minipagewidth by 8\qr@modulesize%
\fi
\begin{minipage}{\qr@minipagewidth}%
\baselineskip=\qr@modulesize%
\ifqr@tight\else\rule{0pt}{4\qr@modulesize}\par\fi% %Blank space at top.
\qr@for \i = 1 to \qr@numberofrowsinmatrix{#1} by 1%
{\ifqr@tight\else\rule{4\qr@modulesize}{0pt}\fi% %Blank space at left.
\qr@for \j = 1 to \qr@numberofcolsinmatrix{#1} by 1%
{\qr@matrixentry{#1}{\the\i}{\the\j}}%
\par}%
\ifqr@tight\else\rule{0pt}{4\qr@modulesize}\par\fi%
\end{minipage}%
}%
\def\qr@printsavedbinarymatrix#1{%
\edef\qr@binarystring{#1\relax\relax}%
%Set module size
\setlength{\qr@modulesize}{\qr@desiredheight}%
\divide\qr@modulesize by \qr@size\relax%
%
\setlength{\qr@minipagewidth}{\qr@modulesize}%
\multiply\qr@minipagewidth by \qr@size\relax%
\ifqr@tight
\else
\advance\qr@minipagewidth by 8\qr@modulesize%
\fi
\begin{minipage}{\qr@minipagewidth}%
\baselineskip=\qr@modulesize%
\ifqr@tight\else\rule{0pt}{4\qr@modulesize}\par\fi% %Blank space at top.
\qr@for \i = 1 to \qr@size by 1%
{\ifqr@tight\else\rule{4\qr@modulesize}{0pt}\fi% %Blank space at left.
\qr@for \j = 1 to \qr@size by 1%
{\edef\theargument{(\qr@binarystring)}%
\xa\qr@printsavedbinarymatrix@int\theargument
}%
\par}%
\ifqr@tight\else\rule{0pt}{4\qr@modulesize}\par\fi%
\end{minipage}%
}%
\def\qr@printsavedbinarymatrix@int(#1#2){%
% #1 = first bit, either 1 or 0.
% #2 = remainder of string, terminating with \relax\relax
% There's no need to check for EOF here, because
% we'll only call this n^2 times.
\ifcase #1\relax
\rule{\qr@modulesize}{0pt}% % 0: white square
\or
\rule{\qr@modulesize}{\qr@modulesize}% % 1: black square
\fi
\xdef\qr@binarystring{#2}%
}%
\def\qr@createliteralmatrix#1#2#3{%
% #1 = matrix name
% #2 = m, the number of rows and columns in the square matrix
% #3 = a string of m^2 tokens to be written into the matrix
\qr@creatematrix{#1}%
\xa\xdef\csname #1@numrows\endcsname{#2}%
\xa\xdef\csname #1@numcols\endcsname{#2}%
\gdef\qr@literalmatrix@tokens{#3}%
\qr@for \i = 1 to #2 by 1%
{\qr@for \j = 1 to #2 by 1%
{\xa\qr@createliteralmatrix@int\xa(\qr@literalmatrix@tokens)%
\qr@estoretomatrix{#1}{\the\i}{\the\j}{\qr@entrytext}%
}%
}%
}
\def\qr@createliteralmatrix@int(#1#2){%
\def\qr@entrytext{#1}%
\gdef\qr@literalmatrix@tokens{#2}%
}
\qr@createliteralmatrix{finderpattern}{8}{%
\qr@black@fixed\qr@black@fixed\qr@black@fixed\qr@black@fixed\qr@black@fixed\qr@black@fixed\qr@black@fixed\qr@white@fixed%
\qr@black@fixed\qr@white@fixed\qr@white@fixed\qr@white@fixed\qr@white@fixed\qr@white@fixed\qr@black@fixed\qr@white@fixed%
\qr@black@fixed\qr@white@fixed\qr@black@fixed\qr@black@fixed\qr@black@fixed\qr@white@fixed\qr@black@fixed\qr@white@fixed%
\qr@black@fixed\qr@white@fixed\qr@black@fixed\qr@black@fixed\qr@black@fixed\qr@white@fixed\qr@black@fixed\qr@white@fixed%
\qr@black@fixed\qr@white@fixed\qr@black@fixed\qr@black@fixed\qr@black@fixed\qr@white@fixed\qr@black@fixed\qr@white@fixed%
\qr@black@fixed\qr@white@fixed\qr@white@fixed\qr@white@fixed\qr@white@fixed\qr@white@fixed\qr@black@fixed\qr@white@fixed%
\qr@black@fixed\qr@black@fixed\qr@black@fixed\qr@black@fixed\qr@black@fixed\qr@black@fixed\qr@black@fixed\qr@white@fixed%
\qr@white@fixed\qr@white@fixed\qr@white@fixed\qr@white@fixed\qr@white@fixed\qr@white@fixed\qr@white@fixed\qr@white@fixed%
}%
\qr@createliteralmatrix{alignmentpattern}{5}{%
\qr@black@fixed\qr@black@fixed\qr@black@fixed\qr@black@fixed\qr@black@fixed%
\qr@black@fixed\qr@white@fixed\qr@white@fixed\qr@white@fixed\qr@black@fixed%
\qr@black@fixed\qr@white@fixed\qr@black@fixed\qr@white@fixed\qr@black@fixed%
\qr@black@fixed\qr@white@fixed\qr@white@fixed\qr@white@fixed\qr@black@fixed%
\qr@black@fixed\qr@black@fixed\qr@black@fixed\qr@black@fixed\qr@black@fixed%
}%
\def\qr@copymatrixentry#1#2#3#4#5#6{%
% Copy the (#2,#3) entry of matrix #1
% to the (#5,#6) position of matrix #4.
\xa\xa\xa\global%
\xa\xa\xa\let\xa\xa\csname #4@#5@#6\endcsname%
\csname #1@#2@#3\endcsname%
}%
\def\qr@createduplicatematrix#1#2{%
% #1 = name of copy
% #2 = original matrix to be copied
\qr@creatematrix{#1}%
\qr@for \i = 1 to \qr@numberofrowsinmatrix{#2} by 1%
{\qr@for \j = 1 to \qr@numberofcolsinmatrix{#2} by 1%
{\qr@copymatrixentry{#2}{\the\i}{\the\j}{#1}{\the\i}{\the\j}%
}%
}%
\qr@setnumberofrows{#1}{\qr@numberofrowsinmatrix{#2}}%
\qr@setnumberofcols{#1}{\qr@numberofcolsinmatrix{#2}}%
}%
\def\qr@placefinderpattern@int#1#2#3#4#5{%
% Work on matrix #1.
% Start in position (#2, #3) -- should be a corner
% #4 indicates horizontal direction (1=right, -1=left)
% #5 indicates vertical direction (1=down, -1=up)
%
% In this code, \sourcei and \sourcej are TeX counts working through the finderpattern matrix,
% and i and j are LaTeX counters indicating positions in the big matrix.
\setcounter{qr@i}{#2}%
\qr@for \sourcei=1 to 8 by 1%
{\setcounter{qr@j}{#3}%
\qr@for \sourcej=1 to 8 by 1%
{\qr@copymatrixentry{finderpattern}{\the\sourcei}{\the\sourcej}%
{#1}{\theqr@i}{\theqr@j}%
\addtocounter{qr@j}{#5}%
}%
\addtocounter{qr@i}{#4}%
}%
}%
\def\qr@placefinderpatterns#1{%
% #1=matrix name
\qr@placefinderpattern@int{#1}{1}{1}{1}{1}%
\qr@placefinderpattern@int{#1}{\qr@numberofrowsinmatrix{#1}}{1}{-1}{1}%
\qr@placefinderpattern@int{#1}{1}{\qr@numberofcolsinmatrix{#1}}{1}{-1}%
}%
\def\qr@placetimingpatterns#1{%
%Set \endingcol to n-8.
\qr@a=\qr@size\relax%
\advance\qr@a by -8\relax%
\edef\endingcol{\the\qr@a}%
\qr@for \j = 9 to \endingcol by 1%
{\ifodd\j\relax%
\qr@storetomatrix{#1}{7}{\the\j}{\qr@black@fixed}%
\qr@storetomatrix{#1}{\the\j}{7}{\qr@black@fixed}%
\else%
\qr@storetomatrix{#1}{7}{\the\j}{\qr@white@fixed}%
\qr@storetomatrix{#1}{\the\j}{7}{\qr@white@fixed}%
\fi%
}%
}%
\def\qr@placealignmentpattern@int#1#2#3{%
% Work on matrix #1.
% Write an alignment pattern into the matrix, centered on (#2,#3).
\qr@a=#2\relax%
\advance\qr@a by -2\relax%
\qr@b=#3\relax%
\advance\qr@b by -2\relax%
\setcounter{qr@i}{\the\qr@a}%
\qr@for \i=1 to 5 by 1%
{\setcounter{qr@j}{\the\qr@b}%
\qr@for \j=1 to 5 by 1%
{\qr@copymatrixentry{alignmentpattern}{\the\i}{\the\j}%
{#1}{\theqr@i}{\theqr@j}%
\stepcounter{qr@j}%
}%
\stepcounter{qr@i}%
}%
}%
\newif\ifqr@incorner%
\def\qr@placealignmentpatterns#1{%
%There are k^2-3 alignment patterns,
%arranged in a (k x k) grid within the matrix.
%They begin in row 7, column 7,
%except that the ones in the NW, NE, and SW corners
%are omitted because of the finder patterns.
%Recall that
% * \qr@k stores k,
% * \qr@alignment@firstskip stores how far between the 1st and 2nd row/col, &
% * \qr@alignment@generalskip stores how far between each subsequent row/col.
\xa\ifnum\qr@k>0\relax
%There will be at least one alignment pattern.
%N.B. k cannot equal 1.
\xa\ifnum\qr@k=2\relax
% 2*2-3 = exactly 1 alignment pattern.
\qr@a=7\relax
\advance\qr@a by \qr@alignment@firstskip\relax
\xdef\qr@target@ii{\the\qr@a}%
\qr@placealignmentpattern@int{#1}{\qr@target@ii}{\qr@target@ii}%
\else
% k is at least 3, so the following loops should be safe.
\xdef\qr@target@ii{7}%
\qr@for \ii = 1 to \qr@k by 1%
{\ifcase\ii\relax%
\relax% \ii should never equal 0.
\or
\xdef\qr@target@ii{7}% If \ii = 1, we start in row 7.
\or
%If \ii = 2, we add the firstskip.
\qr@a=\qr@target@ii\relax%
\advance\qr@a by \qr@alignment@firstskip\relax%
\xdef\qr@target@ii{\the\qr@a}%
\else
%If \ii>2, we add the generalskip.
\qr@a=\qr@target@ii\relax%
\advance\qr@a by \qr@alignment@generalskip\relax%
\xdef\qr@target@ii{\the\qr@a}%
\fi
\qr@for \jj = 1 to \qr@k by 1%
{\ifcase\jj\relax%
\relax% \jj should never equal 0.
\or
\xdef\qr@target@jj{7}% If \jj=1, we start in row 7.
\or
%If \jj=2, we add the firstskip.
\qr@a=\qr@target@jj\relax%
\advance\qr@a by \qr@alignment@firstskip%
\xdef\qr@target@jj{\the\qr@a}%
\else
%If \jj>2, we add the generalskip.
\qr@a=\qr@target@jj\relax%
\advance\qr@a by \qr@alignment@generalskip%
\xdef\qr@target@jj{\the\qr@a}%
\fi
\qr@incornerfalse%
\ifnum\ii=1\relax
\ifnum\jj=1\relax
\qr@incornertrue
\else
\ifnum\qr@k=\jj\relax
\qr@incornertrue
\fi
\fi
\else
\xa\ifnum\qr@k=\ii\relax
\ifnum\jj=1\relax
\qr@incornertrue
\fi
\fi
\fi
\ifqr@incorner
\relax
\else
\qr@placealignmentpattern@int{#1}{\qr@target@ii}{\qr@target@jj}%
\fi
}% ends \qr@for \jj
}% ends \qr@for \ii
\fi
\fi
}%
\def\qr@placedummyformatpatterns#1{%
\qr@for \j = 1 to 9 by 1%
{\ifnum\j=7\relax%
\else%
\qr@storetomatrix{#1}{9}{\the\j}{\qr@format@square}%
\qr@storetomatrix{#1}{\the\j}{9}{\qr@format@square}%
\fi%
}%
\setcounter{qr@j}{\qr@size}%
\qr@for \j = 1 to 8 by 1%
{\qr@storetomatrix{#1}{9}{\theqr@j}{\qr@format@square}%
\qr@storetomatrix{#1}{\theqr@j}{9}{\qr@format@square}%
\addtocounter{qr@j}{-1}%
}%
%Now go back and change the \qr@format@square in (n-8,9) to \qr@black@fixed.
\addtocounter{qr@j}{1}%
\qr@storetomatrix{#1}{\theqr@j}{9}{\qr@black@fixed}%
}%
\def\qr@placedummyversionpatterns#1{%
\xa\ifnum\qr@version>6\relax
%Must include version information.
\global\c@qr@i=\qr@size%
\global\advance\c@qr@i by -10\relax%
\qr@for \i = 1 to 3 by 1%
{\qr@for \j = 1 to 6 by 1%
{\qr@storetomatrix{#1}{\theqr@i}{\the\j}{\qr@format@square}%
\qr@storetomatrix{#1}{\the\j}{\theqr@i}{\qr@format@square}%
}%
\stepcounter{qr@i}%
}%
\fi
}%
\def\qr@writebit(#1#2)#3{%
% #3 = matrix name
% (qr@i,qr@j) = position to write in (LaTeX counters)
% #1 = bit to be written
% #2 = remaining bits plus '\relax' as an end-of-file marker
\edef\qr@datatowrite{#2}%
\ifnum#1=1
\qr@storetomatrix{#3}{\theqr@i}{\theqr@j}{\qr@black}%
\else
\qr@storetomatrix{#3}{\theqr@i}{\theqr@j}{\@white}%
\fi
}%
\newif\ifqr@rightcol
\newif\ifqr@goingup
\def\qr@writedata@hex#1#2{%
% #1 = name of a matrix that has been prepared with finder patterns, timing patterns, etc.
% #2 = a string consisting of bytes to write into the matrix, in two-char hex format.
\setcounter{qr@i}{\qr@numberofrowsinmatrix{#1}}%
\setcounter{qr@j}{\qr@numberofcolsinmatrix{#1}}%
\qr@rightcoltrue%
\qr@goinguptrue%
\edef\qr@argument{{#1}(#2\relax\relax\relax)}%
\xa\qr@writedata@hex@recursive\qr@argument%
}%
\def\qr@writedata@hex@recursive#1(#2#3#4){%
% #1 = name of a matrix that has been prepared with finder patterns, timing patterns, etc.
% (qr@i,qr@j) = position to write in LaTeX counters
% #2#3#4 contains the hex codes of the bytes to be written, plus \relax\relax\relax
% as an end-of-file marker
\edef\testii{#2}%
\ifx\testii\@relax%
% #2 is \relax, so there is nothing more to write.
\relax
\let\go=\relax
\else
% #2 is not \relax, so there is another byte to write.
\qr@hextobinary[8]{\bytetowrite}{#2#3}%
\xdef\qr@datatowrite{\bytetowrite\relax}% %Add terminating "\relax"
\qr@writedata@recursive{#1}% %This function actually writes the 8 bits.
\edef\qr@argument{{#1}(#4)}%
\xa\def\xa\go\xa{\xa\qr@writedata@hex@recursive\qr@argument}% %Call self to write the next bit.
\fi
\go
}%
\def\qr@writedata#1#2{%
% #1 = name of a matrix that has been prepared with finder patterns, timing patterns, etc.
% #2 = a string consisting of 0's and 1's to write into the matrix.
\setcounter{qr@i}{\qr@numberofrowsinmatrix{#1}}%
\setcounter{qr@j}{\qr@numberofcolsinmatrix{#1}}%
\qr@rightcoltrue
\qr@goinguptrue
\edef\qr@datatowrite{#2\relax}%
\qr@writedata@recursive{#1}%
}%
\def\@@blank{\@blank}%
\def\qr@writedata@recursive#1{%
% #1 = matrix name
% (qr@i,qr@j) = position to write in (LaTeX counters)
% \qr@datatowrite contains the bits to be written, plus '\relax' as an end-of-file marker
\xa\let\xa\squarevalue\csname #1@\theqr@i @\theqr@j\endcsname%
\ifx\squarevalue\@@blank
%Square is blank, so write data in it.
\xa\qr@writebit\xa(\qr@datatowrite){#1}%
%The \qr@writebit macro not only writes the first bit of \qr@datatowrite into the matrix,
%but also removes the bit from the 'bitstream' of \qr@datatowrite.
\fi
%Now adjust our position in the matrix.
\ifqr@rightcol
%From the right-hand half of the two-bit column, we always move left. Easy peasy.
\addtocounter{qr@j}{-1}%
\qr@rightcolfalse
\else
%If we're in the left-hand column, things are harder.
\ifqr@goingup
%First, suppose we're going upwards.
\ifnum\c@qr@i>1\relax%
%If we're not in the first row, things are easy.
%We move one to the right and one up.
\addtocounter{qr@j}{1}%
\addtocounter{qr@i}{-1}%
\qr@rightcoltrue
\else
%If we are in the first row, then we move to the left,
%and we are now in the right-hand column on a downward pass.
\addtocounter{qr@j}{-1}%
\qr@goingupfalse
\qr@rightcoltrue
\fi
\else
%Now, suppose we're going downwards.
\xa\ifnum\qr@size>\c@qr@i\relax%
%If we're not yet in the bottom row, things are easy.
%We move one to the right and one down.
\addtocounter{qr@j}{1}%
\addtocounter{qr@i}{1}%
\qr@rightcoltrue
\else
%If we are in the bottom row, then we move to the left,
%and we are now in the right-hand column on an upward pass.
\addtocounter{qr@j}{-1}%
\qr@rightcoltrue
\qr@goinguptrue
\fi
\fi
%One problem: what if we just moved into the 7th column?
%Das ist verboten.
%If we just moved (left) into the 7th column, we should move on into the 6th column.
\ifnum\c@qr@j=7\relax%
\setcounter{qr@j}{6}%
\fi
\fi
%Now check whether there are any more bits to write.
\ifx\qr@datatowrite\@relax
% \qr@datatowrite is just `\relax', so we're done.
\let\nexttoken=\relax
\relax
\else
% Write some more!
\def\nexttoken{\qr@writedata@recursive{#1}}%
\fi
\nexttoken
}%
\def\qr@writeremainderbits#1{%
% #1 = name of a matrix that has been prepared and partly filled.
% (qr@i,qr@j) = position to write in LaTeX counters
\xa\ifnum\qr@numremainderbits>0\relax
\def\qr@datatowrite{}%
\qr@for \i = 1 to \qr@numremainderbits by 1%
{\g@addto@macro{\qr@datatowrite}{0}}%
\g@addto@macro{\qr@datatowrite}{\relax}% terminator
\qr@writedata@recursive{#1}%
\fi
}%
\newif\ifqr@cellinmask
\def\qr@setmaskingfunction#1{%
% #1 = 1 decimal digit for the mask. (I see no reason to use the 3-bit binary code.)
% The current position is (\themaski,\themaskj), with indexing starting at 0.
\edef\maskselection{#1}%
\xa\ifcase\maskselection\relax
%Case 0: checkerboard
\def\qr@parsemaskingfunction{%
% Compute mod(\themaski+\themaskj,2)%
\qr@a=\c@maski%
\advance\qr@a by \c@maskj%
\qr@b=\qr@a%
\divide\qr@b by 2%
\multiply\qr@b by 2%
\advance\qr@a by -\qr@b%
\edef\qr@maskfunctionresult{\the\qr@a}%
}%
\or
%Case 1: horizontal stripes
\def\qr@parsemaskingfunction{%
% Compute mod(\themaski,2)%
\ifodd\c@maski\relax%
\def\qr@maskfunctionresult{1}%
\else%
\def\qr@maskfunctionresult{0}%
\fi%
}%
\or
%Case 2: vertical stripes
\def\qr@parsemaskingfunction{%
% Compute mod(\themaskj,3)%
\qr@a=\c@maskj%
\divide\qr@a by 3%
\multiply\qr@a by 3%
\advance\qr@a by -\c@maskj%
\edef\qr@maskfunctionresult{\the\qr@a}%
}%
\or
%Case 3: diagonal stripes
\def\qr@parsemaskingfunction{%
% Compute mod(\themaski+\themaskj,3)%
\qr@a=\c@maski%
\advance\qr@a by \c@maskj%
\qr@b=\qr@a%
\divide\qr@b by 3%
\multiply\qr@b by 3%
\advance\qr@b by -\qr@a%
\edef\qr@maskfunctionresult{\the\qr@b}%
}%
\or
%Case 4: wide checkerboard
\def\qr@parsemaskingfunction{%
% Compute mod(floor(\themaski/2) + floor(\themaskj/3),2) %
\qr@a=\c@maski%
\divide\qr@a by 2%
\qr@b=\c@maskj%
\divide\qr@b by 3%
\advance\qr@a by \qr@b%
\qr@b=\qr@a%
\divide\qr@a by 2%
\multiply\qr@a by 2%
\advance\qr@a by -\qr@b%
\edef\qr@maskfunctionresult{\the\qr@a}%
}%
\or
%Case 5: quilt
\def\qr@parsemaskingfunction{%
% Compute mod(\themaski*\themaskj,2) + mod(\themaski*\themaskj,3) %
\qr@a=\c@maski%
\multiply\qr@a by \c@maskj%
\qr@b=\qr@a%
\qr@c=\qr@a%
\divide\qr@a by 2%
\multiply\qr@a by 2%
\advance\qr@a by -\qr@c% (result will be -mod(i*j,2), which is negative.)
\divide\qr@b by 3%
\multiply\qr@b by 3%
\advance\qr@b by -\qr@c% (result will be -mod(i*j,3), which is negative.)
\advance\qr@a by \qr@b% (result is negative of what's in the spec.)
\edef\qr@maskfunctionresult{\the\qr@a}%
}%
\or
%Case 6: arrows
\def\qr@parsemaskingfunction{%
% Compute mod( mod(\themaski*\themaskj,2) + mod(\themaski*\themaskj,3) , 2 ) %
\qr@a=\c@maski%
\multiply\qr@a by \c@maskj%
\qr@b=\qr@a%
\qr@c=\qr@a%
\multiply\qr@c by 2% % \qr@c equals 2*i*j.
\divide\qr@a by 2%
\multiply\qr@a by 2%
\advance\qr@c by -\qr@a% Now \qr@c equals i*j + mod(i*j,2).
\divide\qr@b by 3%
\multiply\qr@b by 3%