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-rw-r--r--Master/texmf-dist/tex/latex/tikz-ext/pgfcalendar-ext.code.tex327
-rw-r--r--Master/texmf-dist/tex/latex/tikz-ext/pgfcalendar-ext.sty11
-rw-r--r--Master/texmf-dist/tex/latex/tikz-ext/pgfcalendar-ext.tex13
-rw-r--r--Master/texmf-dist/tex/latex/tikz-ext/pgflibraryext.transformations.mirror.code.tex96
-rw-r--r--Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.calendar-plus.code.tex93
-rw-r--r--Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.misc.code.tex251
-rw-r--r--Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.node-families.code.tex305
-rw-r--r--Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.paths.arcto.code.tex104
-rw-r--r--Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.paths.ortho.code.tex683
-rw-r--r--Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.paths.timer.code.tex188
-rw-r--r--Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.patterns.images.code.tex53
-rw-r--r--Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.positioning-plus.code.tex262
-rw-r--r--Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.topaths.arcthrough.code.tex50
-rw-r--r--Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.transformations.mirror.code.tex70
14 files changed, 2506 insertions, 0 deletions
diff --git a/Master/texmf-dist/tex/latex/tikz-ext/pgfcalendar-ext.code.tex b/Master/texmf-dist/tex/latex/tikz-ext/pgfcalendar-ext.code.tex
new file mode 100644
index 00000000000..b32ac9a3a68
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tikz-ext/pgfcalendar-ext.code.tex
@@ -0,0 +1,327 @@
+% Copyright 2022 by Qrrbrbirlbel
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+\pgfqkeys{/pgf/calendar}{
+ style/.style={#1},
+ yesterday/.value required,
+ yesterday/.code={%
+ \begingroup
+ \pgfutil@tempcnta=\pgfcalendarifdatejulian\relax
+ \advance\pgfutil@tempcnta by -1\relax
+ \pgfcalendarjuliantodate{\pgfutil@tempcnta}{\pgfcalendarifdateyear}{\pgfcalendarifdatemonth}{\pgfcalendarifdateday}%
+ \edef\pgfcalendarifdatejulian{\the\pgfutil@tempcnta}%
+ \pgfcalendarjuliantoweekday\pgfutil@tempcnta\pgfutil@tempcntb
+ \edef\pgfcalendarifdateweekday{\the\pgfutil@tempcntb}%
+ \pgfcalendarjulianyeartoweek\pgfutil@tempcnta\pgfcalendarifdateyear\pgfutil@tempcntb
+ \edef\pgfcalendarifdateweek{\the\pgfutil@tempcntb}%
+ \pgfcalendar@launch@ifdate{#1}{%
+ \def\pgf@cal@temp{\pgfcalendarmatchestrue}%
+ }{%
+ \let\pgf@cal@temp\pgfutil@empty
+ }%
+ \expandafter
+ \endgroup\pgf@cal@temp
+ },
+ Jan/.code={\ifnum\pgfcalendarifdatemonth=1 \expandafter\pgfcalendarmatchestrue\fi},Jan/.value forbidden,
+ Feb/.code={\ifnum\pgfcalendarifdatemonth=2 \expandafter\pgfcalendarmatchestrue\fi},Feb/.value forbidden,
+ Mar/.code={\ifnum\pgfcalendarifdatemonth=3 \expandafter\pgfcalendarmatchestrue\fi},Mar/.value forbidden,
+ Apr/.code={\ifnum\pgfcalendarifdatemonth=4 \expandafter\pgfcalendarmatchestrue\fi},Apr/.value forbidden,
+ May/.code={\ifnum\pgfcalendarifdatemonth=5 \expandafter\pgfcalendarmatchestrue\fi},May/.value forbidden,
+ Jun/.code={\ifnum\pgfcalendarifdatemonth=6 \expandafter\pgfcalendarmatchestrue\fi},Jun/.value forbidden,
+ Jul/.code={\ifnum\pgfcalendarifdatemonth=7 \expandafter\pgfcalendarmatchestrue\fi},Jul/.value forbidden,
+ Aug/.code={\ifnum\pgfcalendarifdatemonth=8 \expandafter\pgfcalendarmatchestrue\fi},Aug/.value forbidden,
+ Sep/.code={\ifnum\pgfcalendarifdatemonth=9 \expandafter\pgfcalendarmatchestrue\fi},Sep/.value forbidden,
+ Oct/.code={\ifnum\pgfcalendarifdatemonth=10 \expandafter\pgfcalendarmatchestrue\fi},Oct/.value forbidden,
+ Nov/.code={\ifnum\pgfcalendarifdatemonth=11 \expandafter\pgfcalendarmatchestrue\fi},Nov/.value forbidden,
+ Dec/.code={\ifnum\pgfcalendarifdatemonth=12 \expandafter\pgfcalendarmatchestrue\fi},Dec/.value forbidden,
+ %
+ difference between/.code args={#1and#2 #3 #4}{%
+ \pgfcalendardatetojulian{#1}\pgfutil@tempcnta
+ \pgfcalendardatetojulian{#2}\pgfutil@tempcntb
+ \advance\pgfutil@tempcntb by -\pgfutil@tempcnta
+ \ifnum\pgfutil@tempcntb#3#4\relax
+ \pgfcalendarmatchestrue
+ \fi},
+ weekday before or same/.code args={#1and#2}{%
+ \pgfcalendarjuliantoweekday{#1}\pgfutil@tempcnta
+ \pgfcalendarjuliantoweekday{#2}\pgfutil@tempcntb
+ \ifnum\pgfutil@tempcntb<\pgfutil@tempcnta
+ \pgfcalendarmatchestrue
+ \fi
+ },
+ leap year/.code={%
+ \pgfutil@tempcnta=#1\relax
+ \divide\pgfutil@tempcnta4
+ \multiply\pgfutil@tempcnta4
+ \ifnum\pgfutil@tempcnta=#1\relax
+ \divide\pgfutil@tempcnta100
+ \multiply\pgfutil@tempcnta100
+ \ifnum\pgfutil@tempcnta=#1\relax
+ \divide\pgfutil@tempcnta400
+ \multiply\pgfutil@tempcnta400
+ \ifnum\pgfutil@tempcnta=#1\relax
+ \pgfcalendarmatchestrue
+ \fi
+ \else
+ \pgfcalendarmatchestrue
+ \fi
+ \fi},
+ leap year/.default=\pgfcalendarifdateyear,
+ between days/.code args={#1and#2}{%
+ \pgfutil@tempcnta=#1\relax
+ \ifnum\pgfcalendarifdateday<\pgfutil@tempcnta\else
+ \pgfutil@tempcnta=#2\relax
+ \ifnum\pgfcalendarifdateday>\pgfutil@tempcnta\else
+ \pgfcalendarmatchestrue\fi\fi},
+ week of month/.code={%
+ \pgfutil@tempcnta=#1\relax
+ \multiply\pgfutil@tempcnta7
+ \ifnum\pgfcalendarifdateday>\pgfutil@tempcnta\else
+ \advance\pgfutil@tempcnta-7
+ \ifnum\pgfcalendarifdateday>\pgfutil@tempcnta
+ \pgfcalendarmatchestrue
+ \fi
+ \fi},
+ week of month'/.code={%
+ \pgfcalendar@getlastYMX\pgfcalendarifdateyear\pgfcalendarifdatemonth\pgfutil@tempcnta
+ \advance\pgfutil@tempcnta1
+ \pgfutil@tempcntb=#1\relax
+ \multiply\pgfutil@tempcntb7
+ \advance\pgfutil@tempcnta-\pgfutil@tempcntb
+ \ifnum\pgfcalendarifdateday<\pgfutil@tempcnta\else
+ \advance\pgfutil@tempcnta+7
+ \ifnum\pgfcalendarifdateday<\pgfutil@tempcnta
+ \pgfcalendarmatchestrue
+ \fi
+ \fi},
+ first/.code={\pgfutil@in@:{#1}\ifpgfutil@in@
+ \pgfcalendar@ifdate@first{}#1\pgf@stop\else
+ \pgfcalendar@ifdate@first{}1:#1\pgf@stop\fi},
+ last/.code={\pgfutil@in@:{#1}\ifpgfutil@in@
+ \pgfcalendar@ifdate@first'#1\pgf@stop\else
+ \pgfcalendar@ifdate@first'1:#1\pgf@stop\fi},
+ % logic
+ not/.value required,
+ not/.code=%
+ \begingroup
+ \let\pgf@cal@tempa\pgfutil@empty
+ \pgfcalendar@launch@ifdate{#1}{}{\def\pgf@cal@tempa{\pgfcalendarmatchestrue}}%
+ \expandafter\endgroup\pgf@cal@tempa,
+ and/.value required,
+ and/.code=% and = {<cond 1>, <cond 2>, <cond 3>, …}
+ \begingroup
+ \pgfcalendarmatchestrue
+ \pgfqkeys{/pgf/calendar/and}{#1}%
+ \ifpgfcalendarmatches % is it still true?
+ \expandafter\pgfutil@firstoftwo
+ \else
+ \expandafter\pgfutil@secondoftwo
+ \fi
+ {\def\pgf@cal@temp{\pgfcalendarmatchestrue}}%
+ {\let\pgf@cal@temp\pgfutil@empty}%
+ \expandafter\endgroup\pgf@cal@temp,
+ and/.unknown/.code=% only inside the group of and/.code
+ \ifpgfcalendarmatches
+ \expandafter\pgfutil@firstofone
+ \else
+ \expandafter\pgfutil@gobble
+ \fi
+ {%
+ \begingroup
+ \pgfcalendar@launch@ifdate{\pgfkeyscurrentname={#1}}%
+ {\let\pgf@cal@temp\pgfutil@empty}{\def\pgf@cal@temp{\pgfcalendarmatchesfalse}}
+ \expandafter\endgroup\pgf@cal@temp
+ }%
+}
+
+\def\pgfcalendar@ifdate@first#1#2:#3\pgf@stop{%
+ \pgfqkeys{/pgf/calendar}{and={#3, week of month#1={#2}}}}
+\def\pgfcalendar@getlastYMX#1#2#3{% #1 = year, #2 = month, #3 := last day
+ \begingroup
+ \ifnum#2=2 % stupid February
+ \pgfcalendarmatchesfalse
+ \pgfqkeys{/pgf/calendar}{leap year={#1}}%
+ \ifpgfcalendarmatches
+ #3=29
+ \else
+ #3=28
+ \fi
+ \else
+ #3=\ifcase#2\relax\or
+ 31\or\or31\or30\or31\or30\or31\or31\or30\or31\or30\or31\fi
+ \fi
+ \edef\pgf@cal@temp{#3=\the#3\relax}
+ \expandafter
+ \endgroup\pgf@cal@temp}
+
+%
+% weeks
+%
+\def\pgfcalendar@week@setup#1{%
+ \pgfutil@IfUndefined{pgfcalendar@week@#1}{%
+ \begingroup
+ \pgfcalendardatetojulian{#1-01-01}\pgfutil@tempcnta
+ \pgfcalendarjuliantoweekday\pgfutil@tempcnta\pgfutil@tempcntb
+ %
+ % tempcnta holds the julian number for first day of the current year
+ % tempcntb holds the weekday for the first day of the current year
+ %
+ % set tempcnta to the Monday of the week with first day of current year
+ \advance\pgfutil@tempcnta by -\pgfutil@tempcntb
+ %
+ % if the first week starts at Fri, Sat or Sun, next week is the 1st week
+ \ifnum\pgfutil@tempcntb>3\relax
+ \advance\pgfutil@tempcnta by 7\relax
+ \fi
+ % setup macro for year with {Julian number for day of first week}{weekday of -01-01}
+ \edef\pgf@cal@temp{\def\expandafter\noexpand\csname pgfcalendar@week@#1\endcsname
+ {{\the\pgfutil@tempcnta}{\the\pgfutil@tempcntb}}}%
+ \expandafter\endgroup\pgf@cal@temp
+ }{}%
+}
+
+\def\pgfcalendarjulianyeartoweek#1#2#3{\pgfcalendarjulianyeartoweek@{#1}{#2}{#3}{\iftrue}}
+\def\pgfcalendarjulianyeartoweek@#1#2#3#4{%
+ % #1 = julian date (count)
+ % #2 = year
+ % #3 = count that holds the week at the end
+ % #4 = \iftrue or \iffalse: whether week 53 needs to be checked (\iffalse when determing week from next year)
+ \begingroup
+ \pgfcalendar@week@setup{#2}%
+ #3=#1\relax
+ %
+ % calculate difference of days between current date and start of week 1
+ %
+ \advance#3 by -\expandafter\expandafter\expandafter\pgfutil@firstoftwo\csname pgfcalendar@week@#2\endcsname\relax
+ \ifnum#3<0\relax % whoops, we are in the week of the previous year
+ \expandafter\pgfutil@firstoftwo
+ \else
+ \expandafter\pgfutil@secondoftwo
+ \fi
+ {% if first day of the year is Fri, Sat or Sun
+ \ifnum\expandafter\expandafter\expandafter\pgfutil@secondoftwo\csname pgfcalendar@week@#2\endcsname>3\relax
+ \expandafter\pgfutil@firstoftwo
+ \else
+ \expandafter\pgfutil@secondoftwo
+ \fi
+ {% we need to check the week of the previous year
+ #3=#2\relax
+ \advance#3 by -1
+ \edef\pgf@cal@temp{\noexpand\pgfcalendarjulianyeartoweek@#1{\the#3}#3\noexpand\iffalse}%
+ \pgf@cal@temp
+ }{% yeah, it's weird
+ \divide#3 by 7
+ \advance#3 by 1
+ }
+ }{%
+ \divide#3 by 7
+ \advance#3 by 1
+ #4%
+ \expandafter\pgfutil@firstofone
+ \else
+ \expandafter\pgfutil@gobble
+ \fi
+ {%
+ \ifnum#3=53\relax % whoops, we are possibly in the first week of the next year
+ \expandafter\pgfutil@firstofone
+ \else
+ \expandafter\pgfutil@gobble
+ \fi
+ {%
+ \begingroup
+ % check whether we're already in week 1 of the next year
+ #3=#2\relax
+ \advance#3 by 1
+ \expandafter\pgfcalendar@week@setup\expandafter{\the#3}%
+ \ifnum#1<\expandafter\expandafter\expandafter\pgfutil@firstoftwo\csname pgfcalendar@week@\the#3\endcsname\relax
+ #3=53
+ \else
+ #3=1
+ \fi
+ \expandafter
+ \endgroup\expandafter#3\the#3\relax
+ }%
+ }%
+ }%
+ \expandafter
+ \endgroup\expandafter
+ #3\the#3\relax
+}
+
+%
+% shorthands for weeks (n)
+%
+% n-: shortest
+% n=: shortest but prepends whitespace
+% n0: leading zero
+%
+\expandafter\def\csname pgfcalendar@shorthand@n-\endcsname{%
+ \if0\pgfcalendarcurrentweek\else\pgfcalendarcurrentweek\fi}
+\expandafter\def\csname pgfcalendar@shorthand@n=\endcsname{%
+ {\pgfutil@tempcnta=\pgfcalendarcurrentweek\relax\ifnum\pgfutil@tempcnta<10\relax\setbox0=\hbox{1}\kern\wd0\relax\fi\the\pgfutil@tempcnta}}
+\expandafter\def\csname pgfcalendar@shorthand@n0\endcsname{%
+ \pgfcalendarcurrentweek}
+
+%
+% Overwriting original \pgfcalendar
+%
+\long\def\pgfcalendar#1#2#3#4{%
+ \begingroup%
+ % Setup local \ifdate
+ \let\ifdate=\pgfcalendar@local@ifdate%
+ % Let's start with computing start and end dates...
+ \def\pgfcalendarprefix{#1}%
+ \pgfcalendardatetojulian{#2}{\pgfcalendarcurrentjulian}%
+ \edef\pgfcalendarbeginjulian{\the\pgfcalendarcurrentjulian}%
+ \edef\pgfcalendarbeginiso{#2}%
+ \pgfcalendardatetojulian{#3}{\pgfutil@tempcnta}%
+ \edef\pgfcalendarendjulian{\the\pgfutil@tempcnta}%
+ \advance\pgfutil@tempcnta by1\relax%
+ \edef\pgfcalendarendjulianplus{\the\pgfutil@tempcnta}%
+ \edef\pgfcalendarendiso{#3}%
+ %
+ % Start main loop
+ %
+ \loop%
+ \ifnum\pgfcalendarcurrentjulian<\pgfcalendarendjulianplus\relax%
+ % Setup information about current date
+ \pgfcalendarjuliantodate{\pgfcalendarcurrentjulian}%
+ {\pgfcalendarcurrentyear}{\pgfcalendarcurrentmonth}{\pgfcalendarcurrentday}%
+ \pgfcalendarjuliantoweekday{\pgfcalendarcurrentjulian}{\pgfutil@tempcntb}%
+ \edef\pgfcalendarcurrentweekday{\the\pgfutil@tempcntb}%
+ \pgfcalendarjulianyeartoweek{\pgfcalendarcurrentjulian}{\pgfcalendarcurrentyear}{\pgfutil@tempcntb}%
+ \edef\pgfcalendarcurrentweek{\ifnum\pgfutil@tempcntb<10 0\fi\the\pgfutil@tempcntb}%
+ % Render:
+ #4%
+ % Advance day:
+ \advance\pgfcalendarcurrentjulian by1\relax%
+ \repeat%
+ \endgroup%
+}
+
+%
+% Overwriting original \pgfcalendar@local@ifdate
+%
+\def\pgfcalendar@local@ifdate{%
+ \let\pgfcalendarifdatejulian=\pgfcalendarcurrentjulian
+ \let\pgfcalendarifdateyear=\pgfcalendarcurrentyear
+ \let\pgfcalendarifdatemonth=\pgfcalendarcurrentmonth
+ \let\pgfcalendarifdateday=\pgfcalendarcurrentday
+ \let\pgfcalendarifdateweekday=\pgfcalendarcurrentweekday
+ \let\pgfcalendarifdateweek=\pgfcalendarcurrentweek
+ \pgfcalendar@launch@ifdate%
+}
+
+\pgfqkeys{/pgf/calendar/week}{.value required,.code=\ifnum#1=\pgfcalendarifdateweek\relax\expandafter\pgfcalendarmatchestrue\fi}
+
+% Overwriting shorthands of pgfcalendar
+\expandafter\def\csname pgfcalendar@shorthand@d-\endcsname{%
+ \if0\pgfcalendarcurrentday\else\pgfcalendarcurrentday\fi}
+\expandafter\def\csname pgfcalendar@shorthand@m-\endcsname{%
+ \if0\pgfcalendarcurrentmonth\else\pgfcalendarcurrentmonth\fi}
+
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/tex/latex/tikz-ext/pgfcalendar-ext.sty b/Master/texmf-dist/tex/latex/tikz-ext/pgfcalendar-ext.sty
new file mode 100644
index 00000000000..a0f5ef3bc01
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tikz-ext/pgfcalendar-ext.sty
@@ -0,0 +1,11 @@
+% Copyright 2022 by Qrrbrbirlbel
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+
+\RequirePackage{pgfcalendar}
+\input{pgfcalendar-ext.code.tex}
+\endinput
diff --git a/Master/texmf-dist/tex/latex/tikz-ext/pgfcalendar-ext.tex b/Master/texmf-dist/tex/latex/tikz-ext/pgfcalendar-ext.tex
new file mode 100644
index 00000000000..30c44187a4d
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tikz-ext/pgfcalendar-ext.tex
@@ -0,0 +1,13 @@
+% Copyright 2022 by Qrrbrbirlbel
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+
+\input pgfcalendar.text
+\catcode`\@=11
+\input pgfcalendar-ext.code.tex
+\catcode`\@=\pgfcalendaratcode
+\endinput
diff --git a/Master/texmf-dist/tex/latex/tikz-ext/pgflibraryext.transformations.mirror.code.tex b/Master/texmf-dist/tex/latex/tikz-ext/pgflibraryext.transformations.mirror.code.tex
new file mode 100644
index 00000000000..4d962ccb1cc
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tikz-ext/pgflibraryext.transformations.mirror.code.tex
@@ -0,0 +1,96 @@
+% Copyright 2022 by Qrrbrbirlbel
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+\def\pgftransformxmirror#1{
+ \pgfmathparse{#1}%
+ \ifpgfmathunitsdeclared
+ \pgf@xa\pgfmathresult pt\relax
+ \multiply\pgf@xa2
+ \pgftransformcm{-1}{0}{0}{1}{\pgfqpoint{\pgf@xa}{0pt}}%
+ \else
+ \pgftransformmirror{\pgfqpointxy{\pgfmathresult}{0}}{\pgfpointadd{\pgfqpointxy{\pgfmathresult}{0}}{\pgfqpointxy{0}{1}}}%
+ \fi
+}
+\def\pgftransformymirror#1{
+ \pgfmathparse{#1}%
+ \ifpgfmathunitsdeclared
+ \pgf@ya\pgfmathresult pt\relax
+ \multiply\pgf@ya2
+ \pgftransformcm{1}{0}{0}{-1}{\pgfqpoint{0pt}{\pgf@ya}}%
+ \else
+ \edef\pgf@marshal{\noexpand\pgftransformmirror{\noexpand\pgfqpointxy{0}{\pgfmathresult}}%
+ {\noexpand\pgfpointadd{\noexpand\pgfqpointxy{0}{\pgfmathresult}}{\noexpand\pgfqpointxy{1}{0}}}}%
+ \pgf@marshal
+ \fi}
+\def\pgftransformmirror#1#2{%
+ \pgfextract@process\pgf@tempa{#1}%
+ \pgfpointnormalised{\pgfpointdiff{\pgf@tempa}{#2}}%
+ \pgf@xa=\pgf@sys@tonumber\pgf@y\pgf@x
+ \pgf@xb=\pgf@sys@tonumber\pgf@x\pgf@x
+ \pgf@yb=\pgf@sys@tonumber\pgf@y\pgf@y
+ \multiply\pgf@xa2
+ \pgf@xc=-\pgf@yb\advance\pgf@xc\pgf@xb
+ \pgf@yc=-\pgf@xb\advance\pgf@yc\pgf@yb
+ \edef\pgf@temp{{\the\pgf@xc}{+\the\pgf@xa}{+\the\pgf@xa}{+\the\pgf@yc}}%
+ \expandafter\pgf@transformcm\pgf@temp{\pgf@tempa}%
+ \pgftransformshift{\pgfpointscale{-1}{\pgf@tempa}}%
+}
+
+\def\pgfqtransformmirror#1{%
+ \pgfpointnormalised{#1}%
+ \pgf@xa=\pgf@sys@tonumber\pgf@y\pgf@x
+ \pgf@xb=\pgf@sys@tonumber\pgf@x\pgf@x
+ \pgf@yb=\pgf@sys@tonumber\pgf@y\pgf@y
+ \multiply\pgf@xa2
+ \pgf@xc=-\pgf@yb\advance\pgf@xc\pgf@xb
+ \pgf@yc=-\pgf@xb\advance\pgf@yc\pgf@yb
+ \edef\pgf@temp{{\the\pgf@xc}{+\the\pgf@xa}{+\the\pgf@xa}{+\the\pgf@yc}}%
+ \expandafter\pgf@transformcm\pgf@temp{\pgfpointorigin}%
+}
+
+% Using existant transformation (shift, rotate, yscale=-1, rotate back, shift back)
+\def\pgftransformxMirror#1{
+ \pgfmathparse{#1}%
+ \ifpgfmathunitsdeclared
+ \pgf@xa\pgfmathresult pt\relax
+ \multiply\pgf@xa2
+ \pgftransformcm{-1}{0}{0}{1}{\pgfqpoint{\pgf@xa}{0pt}}%
+ \else
+ \pgftransformMirror{\pgfqpointxy{\pgfmathresult}{0}}{\pgfpointadd{\pgfqpointxy{\pgfmathresult}{0}}{\pgfqpointxy{0}{1}}}%
+ \fi
+}
+\def\pgftransformyMirror#1{
+ \pgfmathparse{#1}%
+ \ifpgfmathunitsdeclared
+ \pgf@ya\pgfmathresult pt\relax
+ \multiply\pgf@ya2
+ \pgftransformcm{1}{0}{0}{-1}{\pgfqpoint{0pt}{\pgf@ya}}%
+ \else
+ \edef\pgf@marshal{\noexpand\pgftransformMirror{\noexpand\pgfqpointxy{0}{\pgfmathresult}}%
+ {\noexpand\pgfpointadd{\noexpand\pgfqpointxy{0}{\pgfmathresult}}{\noexpand\pgfqpointxy{1}{0}}}}%
+ \pgf@marshal
+ \fi}
+
+\def\pgftransformMirror#1#2{%
+ \pgfextract@process\pgf@tempa{#1}%
+ \pgfmathanglebetweenpoints{\pgf@tempa}{#2}%
+ \let\pgf@temp\pgfmathresult
+ \pgftransformshift{\pgf@tempa}%
+ \pgftransformrotate{\pgf@temp}%
+ \pgftransformyscale{-1}%
+ \pgftransformrotate{-\pgf@temp}%
+ \pgftransformshift{\pgfqpointscale{-1}{\pgf@tempa}}%
+}
+
+\def\pgfqtransformMirror#1{%
+ \pgfmathanglebetweenpoints{\pgfpointorigin}{#1}%
+ \let\pgf@temp\pgfmathresult
+ \pgftransformrotate{\pgf@temp}%
+ \pgftransformyscale{-1}%
+ \pgftransformrotate{-\pgf@temp}%
+}
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.calendar-plus.code.tex b/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.calendar-plus.code.tex
new file mode 100644
index 00000000000..d1300ed2900
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.calendar-plus.code.tex
@@ -0,0 +1,93 @@
+% Copyright 2022 by Qrrbrbirlbel
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+
+\usetikzlibrary{calendar}
+\pgfutil@usemodule{pgfcalendar-ext}
+
+% Shift between days
+
+\def\tikz@lib@cal@xshift{\pgfkeysvalueof{/tikz/day xshift}}
+\def\tikz@lib@cal@yshift{\pgfkeysvalueof{/tikz/day yshift}}
+\tikzset{day xshift/.initial=3ex,day yshift/.initial=3.5ex}
+
+% Shift between months
+
+\def\tikz@lib@cal@month@xshift{\pgfkeysvalueof{/tikz/month xshift}}
+\def\tikz@lib@cal@month@yshift{\pgfkeysvalueof{/tikz/month yshift}}
+\tikzset{month xshift/.initial=9ex,month yshift/.initial=9ex}
+
+% Internal option for storing the "width" of a calendar as a number of
+% days
+
+\def\tikz@lib@cal@width{\pgfkeysvalueof{/tikz/tikz@lib@cal@width}}
+\tikzset{tikz@lib@cal@width/.initial=1}
+
+% Weeks
+
+\def\tikzweekcode{\pgfkeysvalueof{/tikz/week code}}
+\def\tikzweektext{\pgfkeysvalueof{/tikz/week text}}
+
+\tikzset{
+ week code/.initial={%
+ \node[every week]{\pgfkeysvalueof{/tikz/week text}};},
+ week text/.initial={\%n=},
+ every week/.style=,
+ week label left/.style={
+ every week/.append style={
+ anchor=base east,
+ xshift=-1.25*\pgfkeysvalueof{/tikz/day xshift}},
+ execute before day scope=%
+ \ifdate{Monday, equals=\pgfcalendarbeginiso}{\tikzweekcode}{}}}
+
+%
+% Overwriting original \tikz@lib@cal@if@else@code
+%
+\def\tikz@lib@cal@if@else@code#1#2#3{%
+ \tikzcalendar@addto\tikz@lib@cal@ifs{\ifdate{#1}{#2}{#3}}%
+ \tikz@lib@cal@scanner%
+}
+
+%
+% Overwriting original \tikz@lib@cal@stop
+%
+\def\tikz@lib@cal@stop{%
+ \pgftransformshift{\tikz@node@at}%
+ \expandafter\pgfcalendar\expandafter{\tikz@fig@name}{\tikz@lib@cal@start}{\tikz@lib@cal@end}%
+ {%
+ \tikz@before@day%
+ \scope%
+ \tikz@atbegin@day%
+ \let\tikzcalendar@addto\pgfutil@secondoftwo
+ \tikz@lib@cal@ifs%
+ \tikzdaycode%
+ \tikz@atend@day%
+ \endscope%
+ \tikz@after@day%
+ }%
+ \endgroup%
+}
+
+\def\tikzcalendar@addto#1#2{\expandafter\def\expandafter#1\expandafter{#1#2}}
+
+\pgfmathdeclarefunction{weeksinmonthofyear}{3}{% #1 = first weekday, #2 = month, #3 = year
+ \begingroup
+ \pgfmathlastdayinmonthofyear@{#2}{#3}%
+ \pgfmathadd@{#1}{\pgfmathresult}%
+ \pgfmathdivide@{\pgfmathresult}{7}%
+ \pgfmathceil@{\pgfmathresult}%
+ \pgfmathint@{\pgfmathresult}%
+ \pgfmathsmuggle\pgfmathresult
+ \endgroup
+}
+\pgfmathdeclarefunction{lastdayinmonthofyear}{2}{% #1 = month, #2 = year
+ \begingroup
+ \pgfcalendar@getlastYMX{#2}{#1}{\pgfutil@tempcnta}%
+ \edef\pgfmathresult{\the\pgfutil@tempcnta}%
+ \pgfmathsmuggle\pgfmathresult
+ \endgroup
+} \ No newline at end of file
diff --git a/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.misc.code.tex b/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.misc.code.tex
new file mode 100644
index 00000000000..b68520081c3
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.misc.code.tex
@@ -0,0 +1,251 @@
+% Copyright 2022 by Qrrbrbirlbel
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+%% full arc
+%% https://tex.stackexchange.com/a/144297/16595
+%% The postfix operator R is added to PGFmath,
+%% it allows the use of angular segments.
+%% full arc = 10 makes it so that
+%% 1R = 36°
+%% 2R = 72°
+%% …
+%% 10R = 360°
+%% Calling the full arc key with an empty value
+%% makes 1R = 1°
+\pgfset{full arc/.code=%
+ \def\pgf@temp{#1}%
+ \ifx\pgfutil@empty\pgf@temp
+ \let\pgfmath@fullarc@factor\pgfutil@empty
+ \else
+ \pgfmathsetmacro\pgfmath@fullarc@factor{360/(#1)}%
+ \fi,full arc=}
+\pgfmathdeclareoperator{R}{full arc}{1}{postfix}{950}
+\pgfmathdeclarefunction{full arc}{1}{%
+ \begingroup
+ \pgfmath@x=#1pt\relax
+ \ifx\pgfmath@fullarc@factor\pgfutil@empty\else
+ \pgfmath@x\pgfmath@fullarc@factor\pgfmath@x
+ \fi
+ \pgfmath@returnone\pgfmath@x
+ \endgroup}
+
+%% foreach
+%% http://tex.stackexchange.com/a/126418/16595
+%% instead of \foreach \var in {start, start + delta, ..., end}
+%% this allows to use \foreach[use int={start to end step delta}] without(!) a list in {}
+%% the values start, end and delta are evaluated by PGFmath at the start of the loop.
+%% In addition to use int, there's also use float.
+\newif\ifqrr@pgf@foreach@no@list
+\pgfqkeys{/pgf/foreach}{
+ use int/.code={%
+ \qrr@pgf@foreach@no@list@parse@to\pgfmathtruncatemacro#1\pgffor@stop
+ },
+ use float/.code={%
+ \qrr@pgf@foreach@no@list@parse@to\pgfmathsetmacro#1\pgffor@stop
+ }
+}
+
+\def\qrr@pgf@foreach@no@list@parse@to#1#2to#3\pgffor@stop{%
+ \qrr@pgf@foreach@no@listtrue
+ #1\foreachStart{#2}%
+ \pgfutil@in@{step}{#3}
+ \ifpgfutil@in@
+ \qrr@pgf@foreach@no@list@parse@step{#1}#3\pgffor@stop
+ \else
+ \qrr@pgf@foreach@no@list@parse@step{#1}#3step1\pgffor@stop
+ \fi
+ \edef\qrr@pgf@foreach@no@list@list{\foreachStart,\foreachSecond,...,\foreachEnd}%
+}
+\def\qrr@pgf@foreach@no@list@parse@step#1#2step#3\pgffor@stop{%
+ #1\foreachEnd{#2}%
+ #1\foreachSecond{\foreachStart+#3}%
+}
+\def\pgffor@vars{% manually extended, better etoolbox
+ \pgfutil@ifnextchar i{\pgffor@@vars@end}{%
+ \pgfutil@ifnextchar[{\pgffor@@vars@opt}{%]
+ \pgfutil@ifnextchar/{\pgffor@@vars@slash@gobble}{%
+ \ifqrr@pgf@foreach@no@list\expandafter\pgfutil@firstoftwo\else
+ \expandafter\pgfutil@secondoftwo\fi
+ {\qrr@pgf@foreach@no@listfalse\pgffor@macro@list\qrr@pgf@foreach@no@list@list}
+ {\pgffor@@vars}}}}}%
+
+%% Handlers
+%% .pgfmath evaluates values given to keys in PGFmath before handing them over.
+%% .pgfmath int truncates the result
+%% .pgfmath strcat concatenates the given values
+\pgfkeys{/handlers/.pgfmath/.code=\pgfmathparse{#1}\expandafter\pgfkeys@exp@call\expandafter{\pgfmathresult}}
+\pgfkeys{/handlers/.pgfmath int/.code=\pgfmathint{#1}\expandafter\pgfkeys@exp@call\expandafter{\pgfmathresult}}
+\pgfkeys{/handlers/.pgfmath strcat/.code=\pgfmathstrcat{#1}\expandafter\pgfkeys@exp@call\expandafter{\pgfmathresult}}
+
+%% http://tex.stackexchange.com/a/144187/16595
+%% key/.List={(point-1),(point-2),(point-...),(point-6)} will call
+%% key=(point-1)(point-2)(point-3)(point-4)(point-5),(point-6)
+\pgfkeys{/handlers/.List/.code={%
+ \let\pgfkeys@global@temp\pgfutil@empty
+ \foreach \pgfkeys@temp in{#1}{
+ \ifx\pgfkeys@global@temp\pgfutil@empty
+ \global\let\pgfkeys@global@temp\pgfkeys@temp
+ \else
+ \expandafter\pgfutil@g@addto@macro\expandafter\pgfkeys@global@temp\expandafter
+ {\pgfkeys@temp}%
+ \fi}%
+ \expandafter\pgfkeys@exp@call\expandafter{\pgfkeys@global@temp}}}
+
+%% PGFmath
+%% strrepeat("x", 5) = "xxxxx"
+\pgfmathdeclarefunction{strrepeat}{2}{%
+ \begingroup\pgfmathint{#2}\pgfmath@count\pgfmathresult
+ \let\pgfmathresult\pgfutil@empty
+ \pgfutil@loop\ifnum\pgfmath@count>0\relax
+ \expandafter\def\expandafter\pgfmathresult\expandafter{\pgfmathresult#1}%
+ \advance\pgfmath@count-1\relax
+ \pgfutil@repeat\pgfmath@smuggleone\pgfmathresult\endgroup}
+
+%% isInString("foo", "foobar") = true (= 1)
+%% isInString("boo", "foobar") = false (= 0)
+\pgfmathdeclarefunction{isInString}{2}{%
+ \pgfutil@in@{#1}{#2}%
+ \ifpgfutil@in@\def\pgfmathresult{1}\else\def\pgfmathresult{0}\fi}
+
+%% strcat("foo", "bar") = "foobar" (can have more than two parameters)
+\pgfutil@IfUndefined{pgfmathstrcat@}{
+ \pgfmathdeclarefunction{strcat}{...}{%
+ \begingroup
+ \let\pgfmathresult\pgfutil@empty
+ \pgfmathstrcat@@#1\pgfmath@stop}
+ \def\pgfmathstrcat@@#1{%
+ \ifx\pgfmath@stop#1%
+ \def\pgfmath@next{\pgfmath@smuggleone\pgfmathresult\endgroup}
+ \else
+ \expandafter\def\expandafter\pgfmathresult\expandafter{\pgfmathresult#1}%
+ \let\pgfmath@next\pgfmathstrcat@@
+ \fi
+ \pgfmath@next}
+}{}
+
+% http://tex.stackexchange.com/questions/244569/bounding-lines-around-tax-nodes/244619#244619
+\pgfmathdeclarefunction{atanXY}{2}{\pgfmathatantwo@{#2}{#1}}
+\pgfmathdeclarefunction{atanYX}{2}{\pgfmathatantwo@{#1}{#2}}
+
+%% http://tex.stackexchange.com/a/132939/16595
+\tikzset{
+ @edges through/.code={{{% three braces to protect \pgfeov
+ \pgfutil@ifnextchar[{\pgfkeysvalueof{/tikz/@@edges through/.@cmd}}
+ {\pgfkeysvalueof{/tikz/@@edges through/.@cmd}[]}#1\pgfeov}}},
+ @@edges through/.style args={[#1]#2}{/tikz/insert path={edge[#1] (#2) (#2)}},
+ edges through/.style={/tikz/@edges through/.list={#1}}}
+\tikzset{
+ @edges to/.code={{{% three braces to protect \pgfeov
+ \pgfutil@ifnextchar[{\pgfkeysvalueof{/tikz/@@edges to/.@cmd}}
+ {\pgfkeysvalueof{/tikz/@@edges to/.@cmd}[]}#1\pgfeov}}},
+ @@edges to/.style args={[#1]#2}{/tikz/insert path={edge[#1] (#2)}},
+ edges to/.style={/tikz/@edges to/.list={#1}}}
+\tikzset{
+ @tos to/.code={{{% three braces to protect \pgfeov
+ \pgfutil@ifnextchar[{\pgfkeysvalueof{/tikz/@@tos to/.@cmd}}
+ {\pgfkeysvalueof{/tikz/@@tos to/.@cmd}[]}#1\pgfeov}}},
+ @@tos to/.style args={[#1]#2}{/tikz/insert path={to[#1] (#2)}},
+ tos to/.style={/tikz/@tos to/.list={#1}}}
+
+
+\pgfmathdeclarefunction{distancebetween}{2}{% only coordinates/nodes
+ \begingroup
+ \pgfpointdiff{\pgfpointanchor{#1}{center}}{\pgfpointanchor{#2}{center}}%
+ \edef\pgfmath@temp{{\pgf@sys@tonumber\pgf@x}{\pgf@sys@tonumber\pgf@y}}%
+ \expandafter\pgfmathveclen@\pgfmath@temp
+ \pgfmath@smuggleone\pgfmathresult
+ \endgroup}
+\pgfmathdeclarefunction{qdistancebetween}{1}{% only coordinates/nodes
+ \begingroup
+ \pgfpointdiff{\pgfpointorigin}{\pgfpointanchor{#1}{center}}%
+ \edef\pgfmath@temp{{\pgf@sys@tonumber\pgf@x}{\pgf@sys@tonumber\pgf@y}}%
+ \expandafter\pgfmathveclen@\pgfmath@temp
+ \pgfmath@smuggleone\pgfmathresult
+ \endgroup}
+
+\pgfmathdeclarefunction{qanglebetween}{1}{%
+ \pgfmathanglebetweenpoints{\pgfpointorigin}{\pgfpointanchor{#1}{center}}}
+
+\pgfmathdeclarefunction{anglebetween}{2}{%
+ \pgfmathanglebetweenpoints{\pgfpointanchor{#1}{center}}{\pgfpointanchor{#2}{center}}}
+
+\pgfmathdeclarefunction{isEmpty}{1}{%
+ \begingroup
+ \edef\pgfmath@temp{#1}%
+ \pgfutil@ifxempty\pgfmath@temp{\def\pgfmathresult{1}}{\def\pgfmathresult{0}}%
+ \pgfmath@smuggleone\pgfmathresult
+ \endgroup}
+
+\pgfqkeys{/utils}{
+ if/.code n args=3{%
+ \pgfmathparse{#1}%
+ \ifdim\pgfmathresult pt=0pt
+ \expandafter\pgfutil@firstoftwo
+ \else
+ \expandafter\pgfutil@secondoftwo
+ \fi
+ {\pgfkeysalso{#3}}%
+ {\pgfkeysalso{#2}}},
+ IF/.code args={(#1)#2}{%
+ \pgfmathparse{#1}%
+ \pgfutil@in@{else}{#2}%
+ \ifpgfutil@in@
+ \expandafter\pgfutil@firstoftwo
+ \else
+ \expandafter\pgfutil@secondoftwo
+ \fi
+ {\qrr@misc@handle@else#2\pgf@stop}{\qrr@misc@handle@else#2else\pgf@stop}%
+ },
+ TeX/if/.code n args={4}{%
+ \if#1#2\expandafter\pgfutil@firstoftwo\else\expandafter\pgfutil@secondoftwo\fi
+ {\pgfkeysalso{#3}}{\pgfkeysalso{#4}}%
+ },
+ TeX/ifnum/.code n args={3}{%
+ \ifnum#1\relax\expandafter\pgfutil@firstoftwo\else\expandafter\pgfutil@secondoftwo\fi
+ {\pgfkeysalso{#2}}{\pgfkeysalso{#3}}%
+ },
+ TeX/ifdim/.code n args={3}{%
+ \ifdim#1\relax\expandafter\pgfutil@firstoftwo\else\expandafter\pgfutil@secondoftwo\fi
+ {\pgfkeysalso{#2}}{\pgfkeysalso{#3}}%
+ },
+ TeX/ifx/.code n args={4}{%
+ \ifx#1#2\relax\expandafter\pgfutil@firstoftwo\else\expandafter\pgfutil@secondoftwo\fi
+ {\pgfkeysalso{#3}}{\pgfkeysalso{#4}}%
+ },
+ TeX/ifempty/.code n args={3}{%
+ \edef\pgfkeys@temp{#1}%
+ \pgfutil@ifxempty\pgfkeys@temp{\pgfkeysalso{#2}}{\pgfkeysalso{#3}}%
+ },
+ tex/.search also=/utils/TeX,
+}
+\def\qrr@misc@handle@else#1else#2\pgf@stop{%
+ \ifdim\pgfmathresult pt=0pt
+ \expandafter\pgfutil@firstoftwo
+ \else
+ \expandafter\pgfutil@secondoftwo
+ \fi
+ {\pgfkeysalso{#2}}%
+ {\pgfkeysalso{#1}}}
+
+\pgfset{
+ declare constant/.code={%
+ \let\pgfmathdeclareconstant@@@\pgfutil@empty
+ \pgfkeysvalueof{/pgf/declare function/execute at begin function}%
+ \pgfmathdeclareconstant@#1@=@;\pgf@stop
+ \pgfkeysvalueof{/pgf/declare function/execute at end function}%
+ \pgfmathdeclareconstant@@@
+ }}
+\def\pgfmathdeclareconstant@{%
+ \pgfutil@ifnextchar x\pgfmathdeclareconstant@@\pgfmathdeclareconstant@@
+}
+\def\pgfmathdeclareconstant@@#1=#2;#3\pgf@stop{%
+ \edef\pgfmath@local@temp{#1}%
+ \pgfutil@ifx\pgfmath@local@temp\pgfmath@local@at{}{%
+ \pgfutil@g@addto@macro\pgfmathdeclareconstant@@@{\pgfmathdeclarepseudoconstant{#1}{\def\pgfmathresult{#2}}}%
+ \pgfmathdeclareconstant@#3\pgf@stop
+ }%
+} \ No newline at end of file
diff --git a/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.node-families.code.tex b/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.node-families.code.tex
new file mode 100644
index 00000000000..9cee62be908
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.node-families.code.tex
@@ -0,0 +1,305 @@
+% Copyright 2022 by Qrrbrbirlbel
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+
+\def\tikz@nf@align@left#1{}
+\def\tikz@nf@align@center#1{\kern.5#1}
+\def\tikz@nf@align@right#1{\kern#1}
+
+\pgfqkeys{/tikz/node family}{
+ width/.initial=,
+ height/.initial=,
+ size/.style=\pgfqkeys{/tikz/node family}{width={#1},height={#1}},
+ text depth/.initial=,
+ text height/.initial=,
+ text width align/.is choice,
+ text width align/left/.code=\let\tikz@nf@align@action\tikz@nf@align@left,
+ text width align/center/.code=\let\tikz@nf@align@action\tikz@nf@align@center,
+ text width align/right/.code=\let\tikz@nf@align@action\tikz@nf@align@right,
+ text width align=center,
+ text width/.initial=,
+ text/.code=\pgfqkeys{/tikz/node family}{text depth={#1},text height={#1},text width={#1}},
+ prefix/.initial=\pgfpictureid-,
+}
+\tikzset{node family/.code=\pgfqkeys{/tikz/node family}{#1}}
+
+% #1 = family type + name
+\def\tikz@nf@save#1{%
+ %\errmessage{#1}%
+ \immediate\write\pgfutil@auxout{%
+ \noexpand\expandafter\noexpand\gdef\noexpand\csname tikz@nf@#1@previous\endcsname
+ {\csname tikz@nf@#1@next\endcsname}%
+ }%
+ %\expandafter\global\expandafter\let\csname tikz@nf@#1@next\endcsname\relax
+}
+
+% #1 = value to set
+% #2 = family type
+% #3 = return dimen
+\def\tikz@nf@getandset#1#2#3{%
+ % what's our family's name?
+ #3=0pt\relax
+ \pgfkeysgetvalue{/tikz/node family/#2}\tikz@nf@familyname
+ \pgfutil@ifxempty\tikz@nf@familyname{% no family to deal with
+ }{%
+ \edef\tikz@nf@familyname{\pgfkeysvalueof{/tikz/node family/prefix}\tikz@nf@familyname}%
+ % we need to save the value for the next run
+ \pgfutil@IfUndefined{tikz@nf@#2@\tikz@nf@familyname @next}{%
+ % first time: define first value and install hook at end of picture
+ \expandafter\xdef\csname tikz@nf@#2@\tikz@nf@familyname @next\endcsname{#1}%
+ \edef\tikz@temp{\noexpand\tikz@nf@save{#2@\tikz@nf@familyname}}%
+ %\expandafter\AtVeryEndDocument\expandafter{\tikz@temp}%
+ \expandafter\pgfutil@g@addto@macro\expandafter\tikz@atend@picture\expandafter{\tikz@temp}%
+ }{%
+ \ifdim\csname tikz@nf@#2@\tikz@nf@familyname @next\endcsname<#1\relax
+ \expandafter\xdef\csname tikz@nf@#2@\tikz@nf@familyname @next\endcsname{#1}%
+ \fi
+ }%
+ \pgfutil@IfUndefined{tikz@nf@#2@\tikz@nf@familyname @previous}{% first run, ignore
+ }{% set previous value
+ #3=\csname tikz@nf@#2@\tikz@nf@familyname @previous\endcsname\relax
+ }%
+ }%
+}
+
+\pgfdeclareshape{Rectangle}{%
+ \savedanchor\northeast{%
+ % Calculate x
+ %
+ % First, is width < minimum width?
+ \pgf@x=\the\wd\pgfnodeparttextbox%
+ \pgfmathsetlength\pgf@xc{\pgfkeysvalueof{/pgf/inner xsep}}%
+ \advance\pgf@x by 2\pgf@xc%
+ % Qrr: family width
+ \tikz@nf@getandset{\the\pgf@x}{width}{\pgfutil@tempdima}%
+ \ifdim\pgf@x<\pgfutil@tempdima
+ \pgf@x=\pgfutil@tempdima
+ \fi
+ %
+ \pgfmathsetlength\pgf@xb{\pgfkeysvalueof{/pgf/minimum width}}%
+ \ifdim\pgf@x<\pgf@xb%
+ % yes, too small. Enlarge...
+ \pgf@x=\pgf@xb%
+ \fi%
+ % Now, calculate right border: .5\wd\pgfnodeparttextbox + .5 \pgf@x + outer sep
+ \pgf@x=.5\pgf@x%
+ \advance\pgf@x by.5\wd\pgfnodeparttextbox%
+ \pgfmathsetlength\pgf@xa{\pgfkeysvalueof{/pgf/outer xsep}}%
+ \advance\pgf@x by\pgf@xa%
+ % Calculate y
+ %
+ % First, is height+depth < minimum height?
+ \pgf@y=\ht\pgfnodeparttextbox%
+ \advance\pgf@y by\dp\pgfnodeparttextbox%
+ \pgfmathsetlength\pgf@yc{\pgfkeysvalueof{/pgf/inner ysep}}%
+ \advance\pgf@y by 2\pgf@yc%
+ % Qrr: family height
+ \tikz@nf@getandset{\the\pgf@y}{height}{\pgfutil@tempdima}%
+ \ifdim\pgf@y<\pgfutil@tempdima
+ \pgf@y=\pgfutil@tempa
+ \fi
+ %
+ \pgfmathsetlength\pgf@yb{\pgfkeysvalueof{/pgf/minimum height}}%
+ \ifdim\pgf@y<\pgf@yb%
+ % yes, too small. Enlarge...
+ \pgf@y=\pgf@yb%
+ \fi%
+ % Now, calculate upper border: .5\ht-.5\dp + .5 \pgf@y + outer sep
+ \pgf@y=.5\pgf@y%
+ \advance\pgf@y by-.5\dp\pgfnodeparttextbox%
+ \advance\pgf@y by.5\ht\pgfnodeparttextbox%
+ \pgfmathsetlength\pgf@ya{\pgfkeysvalueof{/pgf/outer ysep}}%
+ \advance\pgf@y by\pgf@ya%
+ }%
+
+\savedanchor\southwest{%
+ % Calculate x
+ %
+ % First, is width < minimum width?
+ \pgf@x=\wd\pgfnodeparttextbox%
+ \pgfmathsetlength\pgf@xc{\pgfkeysvalueof{/pgf/inner xsep}}%
+ \advance\pgf@x by 2\pgf@xc%
+ % Qrr: family width
+ \tikz@nf@getandset{\the\pgf@x}{width}{\pgfutil@tempdima}%
+ \ifdim\pgf@x<\pgfutil@tempdima
+ \pgf@x=\pgfutil@tempdima
+ \fi
+ %
+ \pgfmathsetlength\pgf@xb{\pgfkeysvalueof{/pgf/minimum width}}%
+ \ifdim\pgf@x<\pgf@xb%
+ % yes, too small. Enlarge...
+ \pgf@x=\pgf@xb%
+ \fi%
+ % Now, calculate left border: .5\wd\pgfnodeparttextbox - .5 \pgf@x - outer sep
+ \pgf@x=-.5\pgf@x%
+ \advance\pgf@x by.5\wd\pgfnodeparttextbox%
+ \pgfmathsetlength\pgf@xa{\pgfkeysvalueof{/pgf/outer xsep}}%
+ \advance\pgf@x by-\pgf@xa%
+ % Calculate y
+ %
+ % First, is height+depth < minimum height?
+ \pgf@y=\ht\pgfnodeparttextbox%
+ \advance\pgf@y by\dp\pgfnodeparttextbox%
+ \pgfmathsetlength\pgf@yc{\pgfkeysvalueof{/pgf/inner ysep}}%
+ \advance\pgf@y by 2\pgf@yc%
+ % Qrr: family height
+ \tikz@nf@getandset{\the\pgf@y}{height}{\pgfutil@tempdima}%
+ \ifdim\pgf@y<\pgfutil@tempdima
+ \pgf@y=\pgfutil@tempdima
+ \fi
+ %
+ \pgfmathsetlength\pgf@yb{\pgfkeysvalueof{/pgf/minimum height}}%
+ \ifdim\pgf@y<\pgf@yb%
+ % yes, too small. Enlarge...
+ \pgf@y=\pgf@yb%
+ \fi%
+ % Now, calculate upper border: .5\ht-.5\dp - .5 \pgf@y - outer sep
+ \pgf@y=-.5\pgf@y%
+ \advance\pgf@y by-.5\dp\pgfnodeparttextbox%
+ \advance\pgf@y by.5\ht\pgfnodeparttextbox%
+ \pgfmathsetlength\pgf@ya{\pgfkeysvalueof{/pgf/outer ysep}}%
+ \advance\pgf@y by-\pgf@ya%
+ }%
+ \inheritbackgroundpath[from=rectangle]
+ \inheritbeforebackgroundpath[from=rectangle]
+ \inheritbehindforegroundpath[from=rectangle]
+ \inheritforegroundpath[from=rectangle]
+ \inheritbeforeforegroundpath[from=rectangle]
+ \inheritanchor[from=rectangle]{center}
+ \inheritanchor[from=rectangle]{mid}
+ \inheritanchor[from=rectangle]{base}
+ \inheritanchor[from=rectangle]{north}
+ \inheritanchor[from=rectangle]{south}
+ \inheritanchor[from=rectangle]{west}
+ \inheritanchor[from=rectangle]{mid west}
+ \inheritanchor[from=rectangle]{base west}
+ \inheritanchor[from=rectangle]{north west}
+ \inheritanchor[from=rectangle]{south west}
+ \inheritanchor[from=rectangle]{east}
+ \inheritanchor[from=rectangle]{mid east}
+ \inheritanchor[from=rectangle]{base east}
+ \inheritanchor[from=rectangle]{north east}
+ \inheritanchor[from=rectangle]{south east}
+ \inheritanchorborder[from=rectangle]
+}
+
+\pgfdeclareshape{Circle}{%
+ \savedanchor\centerpoint{% tex/generic/pgf/modules/pgfmoduleshapes.code.tex
+ \pgf@x=.5\wd\pgfnodeparttextbox
+ \pgf@y=.5\ht\pgfnodeparttextbox
+ \advance\pgf@y by-.5\dp\pgfnodeparttextbox
+ }%
+ \saveddimen\radius{% tex/generic/pgf/modules/pgfmoduleshapes.code.tex
+ % Calculate ``height radius''
+ \pgf@ya=.5\ht\pgfnodeparttextbox
+ \advance\pgf@ya by.5\dp\pgfnodeparttextbox
+ \pgfmathsetlength\pgf@yb{\pgfkeysvalueof{/pgf/inner ysep}}%
+ \advance\pgf@ya by\pgf@yb
+ % Calculate ``width radius''
+ \pgf@xa=.5\wd\pgfnodeparttextbox
+ \pgfmathsetlength\pgf@xb{\pgfkeysvalueof{/pgf/inner xsep}}%
+ \advance\pgf@xa by\pgf@xb
+ % Calculate length of radius vector:
+ \pgf@process{\pgfpointnormalised{\pgfqpoint{\pgf@xa}{\pgf@ya}}}%
+ \ifdim\pgf@x>\pgf@y
+ \c@pgf@counta=\pgf@x
+ \ifnum\c@pgf@counta=0\relax
+ \else
+ \divide\c@pgf@counta by 255\relax
+ \pgf@xa=16\pgf@xa\relax
+ \divide\pgf@xa by\c@pgf@counta
+ \pgf@xa=16\pgf@xa\relax
+ \fi
+ \else
+ \c@pgf@counta=\pgf@y
+ \ifnum\c@pgf@counta=0\relax
+ \else
+ \divide\c@pgf@counta by 255\relax
+ \pgf@ya=16\pgf@ya\relax
+ \divide\pgf@ya by\c@pgf@counta
+ \pgf@xa=16\pgf@ya\relax
+ \fi
+ \fi
+ \pgf@x=\pgf@xa%
+ % Qrr: check for families
+ \tikz@nf@getandset{\the\dimexpr2\pgf@x\relax}{width}{\pgfutil@tempdima}%
+ \tikz@nf@getandset{\the\dimexpr2\pgf@x\relax}{height}{\pgfutil@tempdimb}%
+ % Qrr: and adjust like minimum width and minimum height
+ \ifdim\pgf@x<.5\pgfutil@tempdima
+ \pgf@x=.5\pgfutil@tempdima
+ \fi
+ \ifdim\pgf@x<.5\pgfutil@tempdimb
+ \pgf@x=.5\pgfutil@tempdimb
+ \fi
+ % If necessary, adjust radius so that the size requirements are met:
+ \pgfmathsetlength{\pgf@xb}{\pgfkeysvalueof{/pgf/minimum width}}%
+ \pgfmathsetlength{\pgf@yb}{\pgfkeysvalueof{/pgf/minimum height}}%
+ \ifdim\pgf@x<.5\pgf@xb
+ \pgf@x=.5\pgf@xb
+ \fi
+ \ifdim\pgf@x<.5\pgf@yb
+ \pgf@x=.5\pgf@yb
+ \fi
+ % Now, add larger of outer separations.
+ \pgfmathsetlength{\pgf@xb}{\pgfkeysvalueof{/pgf/outer xsep}}%
+ \pgfmathsetlength{\pgf@yb}{\pgfkeysvalueof{/pgf/outer ysep}}%
+ \ifdim\pgf@xb<\pgf@yb
+ \advance\pgf@x by\pgf@yb
+ \else
+ \advance\pgf@x by\pgf@xb
+ \fi
+ }%
+ \inheritbackgroundpath[from=circle]
+ \inheritbeforebackgroundpath[from=circle]
+ \inheritbehindforegroundpath[from=circle]
+ \inheritforegroundpath[from=circle]
+ \inheritbeforeforegroundpath[from=circle]
+ \inheritanchor[from=circle]{center}
+ \inheritanchor[from=circle]{mid}
+ \inheritanchor[from=circle]{base}
+ \inheritanchor[from=circle]{north}
+ \inheritanchor[from=circle]{south}
+ \inheritanchor[from=circle]{west}
+ \inheritanchor[from=circle]{mid west}
+ \inheritanchor[from=circle]{base west}
+ \inheritanchor[from=circle]{north west}
+ \inheritanchor[from=circle]{south west}
+ \inheritanchor[from=circle]{east}
+ \inheritanchor[from=circle]{mid east}
+ \inheritanchor[from=circle]{base east}
+ \inheritanchor[from=circle]{north east}
+ \inheritanchor[from=circle]{south east}
+ \inheritanchorborder[from=circle]
+}
+
+\def\pgfutil@prefixto@macro#1#2{%
+ \def\pgf@temp{#2}%
+ \expandafter\expandafter\expandafter\def\expandafter\expandafter\expandafter#1%
+ \expandafter\expandafter\expandafter{\expandafter\pgf@temp#1}%
+}
+
+\pgfqkeys{/tikz/node family}{
+ setup shape/.code={%
+ \expandafter\pgfutil@prefixto@macro\csname pgf@sh@s@#1\endcsname{%
+ \tikz@nf@getandset{\the\wd\pgfnodeparttextbox}{text width}{\pgfutil@tempdima}%
+ \ifdim\wd\pgfnodeparttextbox<\pgfutil@tempdima
+ \pgfutil@tempdimb=\pgfutil@tempdima
+ \advance\pgfutil@tempdimb-\wd\pgfnodeparttextbox
+ \setbox\pgfnodeparttextbox=\hbox to \pgfutil@tempdima{\tikz@nf@align@action\pgfutil@tempdimb\box\pgfnodeparttextbox}%
+ \fi
+ \tikz@nf@getandset{\the\dp\pgfnodeparttextbox}{text depth}{\pgfutil@tempdima}%
+ \ifdim\dp\pgfnodeparttextbox<\pgfutil@tempdima
+ \dp\pgfnodeparttextbox=\pgfutil@tempdima
+ \fi
+ \tikz@nf@getandset{\the\ht\pgfnodeparttextbox}{text height}{\pgfutil@tempdima}%
+ \ifdim\ht\pgfnodeparttextbox<\pgfutil@tempdima
+ \ht\pgfnodeparttextbox=\pgfutil@tempdima
+ \fi
+ }%
+ },
+ setup shape/.list={rectangle,circle,Rectangle,Circle}
+}
diff --git a/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.paths.arcto.code.tex b/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.paths.arcto.code.tex
new file mode 100644
index 00000000000..213fc1b74aa
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.paths.arcto.code.tex
@@ -0,0 +1,104 @@
+% Copyright 2022 by Qrrbrbirlbel
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+\tikzset{
+ arc to/.code=\pgfqkeys{/tikz/arc to}{#1},
+ arc to={
+ counter clockwise/.code=\pgfkeyssetvalue{/tikz/arc to/ccw flag}{1},
+ clockwise/.code=\pgfkeyssetvalue{/tikz/arc to/ccw flag}{0},
+ x radius/.code=\pgfkeyssetvalue{/tikz/x radius}{#1},
+ y radius/.code=\pgfkeyssetvalue{/tikz/y radius}{#1},
+ radius/.code=\pgfkeyssetvalue{/tikz/x radius}{#1}\pgfkeyssetvalue{/tikz/y radius}{#1},
+ large/.code=\pgfkeyssetvalue{/tikz/arc to/large flag}{1},
+ small/.code=\pgfkeyssetvalue{/tikz/arc to/large flag}{0},
+ % defaults
+ rotate/.initial=0, counter clockwise, small,
+ counter clockwise/.value forbidden,
+ clockwise/.value forbidden,
+ large/.value forbidden,
+ small/.value forbidden}}
+\def\tikz@arcA rc{\pgfutil@ifnextchar t%
+ {\tikz@flush@moveto\expandafter\expandafter\expandafter\tikz@arcB@cont\expandafter\pgfutil@gobble\pgfutil@gobble}
+ {\tikz@flush@moveto\tikz@arc@cont}}
+\def\tikz@arcB@cont{%
+ \pgfutil@ifnextchar[\tikz@@do@arcB{
+ \advance\tikz@expandcount by -10\relax% go down quickly
+ \ifnum\tikz@expandcount<0\relax%
+ \def\@next{\tikz@@do@arcB[]}%
+ \else%
+ \def\@next{\expandafter\tikz@arcB@cont}%
+ \fi%
+ \@next}}%
+\def\tikz@@do@arcB[#1]{%
+ \def\tikz@arcB@options{#1}%
+ \tikz@do@@arcB}
+\def\tikz@do@@arcB{%
+ \pgfutil@ifnextchar n{\tikz@collect@label@onpath\tikz@do@@arcB}
+ {\pgfutil@ifnextchar c{\tikz@collect@coordinate@onpath\tikz@do@@arcB}
+ {\pgfutil@ifnextchar p{\tikz@collect@pic@onpath\tikz@do@@arcB}
+ {\tikz@scan@one@point\tikz@do@arcB}}}}
+
+\def\tikz@do@arcB#1{%
+ \edef\tikz@timer@start{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}
+ \tikz@make@last@position{#1}%
+ \edef\tikz@timer@end{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \iftikz@shapeborder
+ \edef\tikz@moveto@waiting{\tikz@shapeborder@name}%
+ \fi
+ \begingroup
+ \tikzset{every arc/.try,every arc to/.try,arc to/.expand once=\tikz@arcB@options}%
+ \pgfmathsetmacro\tikz@arc@x{\pgfkeysvalueof{/tikz/x radius}}%
+ \ifpgfmathunitsdeclared
+ \pgfmathsetmacro\tikz@arc@y{\pgfkeysvalueof{/tikz/y radius}}%
+ \ifpgfmathunitsdeclared
+ \pgfpatharcto{\tikz@arc@x pt}{\tikz@arc@y pt}
+ {\pgfkeysvalueof{/tikz/arc to/rotate}}{\pgfkeysvalueof{/tikz/arc to/large flag}}
+ {\pgfkeysvalueof{/tikz/arc to/ccw flag}}{#1}%
+ \else
+ \tikzerror{You cannot mix dimensions and dimension values in an arc}%
+ \fi
+ \else
+ \pgfmathsetmacro\tikz@arc@y{\pgfkeysvalueof{/tikz/y radius}}%
+ \ifpgfmathunitsdeclared
+ \tikzerror{You cannot mix dimensions and dimension values in an arc}%
+ \else
+ \pgf@process{\pgfpointxy{\tikz@arc@x}{0}}%
+ \pgfmathveclen@{\pgf@sys@tonumber\pgf@x}{\pgf@sys@tonumber\pgf@y}%
+ \let\tikz@arc@x\pgfmathresult
+ \pgf@process{\pgfpointxy{0}{\tikz@arc@y}}%
+ \pgfmathveclen@{\pgf@sys@tonumber\pgf@x}{\pgf@sys@tonumber\pgf@y}%
+ \let\tikz@arc@y\pgfmathresult
+ \pgfpatharcto{+\tikz@arc@x pt}{+\tikz@arc@y pt}
+ {\pgfkeysvalueof{/tikz/arc to/rotate}}{\pgfkeysvalueof{/tikz/arc to/large flag}}
+ {\pgfkeysvalueof{/tikz/arc to/ccw flag}}{#1}%
+ \fi
+ \fi
+ \endgroup
+ % check whether \pgf@marshall starts with \pgfpathlineto
+ \pgfutil@ifxempty\pgf@marshal{}{%
+ \edef\tikz@temp{\expandafter\expandafter\expandafter\noexpand\expandafter\pgfutil@firstgobblerest\pgf@marshal\relax}%
+ \expandafter\let\expandafter\tikz@temp\tikz@temp
+ \pgfutil@ifx\tikz@temp\pgfpathlineto{}{%
+ % getting rid of \pgfpatharcaxes inside \pgf@marshal
+ \expandafter\expandafter\expandafter\def\expandafter\expandafter\expandafter\pgf@marshal
+ \expandafter\expandafter\expandafter{\expandafter\pgfutil@gobble\pgf@marshal}%
+ % extracting the other four values needed for the timer
+ \edef\tikz@timer@start@angle{\expandafter\pgfutil@firstoffour\pgf@marshal}%
+ \edef\tikz@timer@end@angle{\expandafter\pgfutil@secondoffour\pgf@marshal}%
+ \pgfextract@process\tikz@timer@zero@axis{\expandafter\pgfutil@thirdoffour\pgf@marshal}%
+ \pgfextract@process\tikz@timer@ninety@axis{\expandafter\pgfutil@fourthoffour\pgf@marshal}%
+ %
+ \let\tikz@timer=\tikz@timer@arc
+ }%
+ }%
+ \tikz@scan@next@command
+}
+\def\pgfutil@firstoffour#1#2#3#4{#1}
+\def\pgfutil@secondoffour#1#2#3#4{#2}
+\def\pgfutil@thirdoffour#1#2#3#4{#3}
+\def\pgfutil@fourthoffour#1#2#3#4{#4}
+\def\pgfutil@firstgobblerest#1#2\relax{#1} \ No newline at end of file
diff --git a/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.paths.ortho.code.tex b/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.paths.ortho.code.tex
new file mode 100644
index 00000000000..a84fae71503
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.paths.ortho.code.tex
@@ -0,0 +1,683 @@
+% Copyright 2022 by Qrrbrbirlbel
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+
+%% For the operators r-lr, r-rl, r-ud and r-du we need to check after TikZ found r
+\let\tikz@orig@rect\tikz@rect
+\def\tikz@rect{\pgfutil@ifnextchar e\tikz@orig@rect\qrr@tikz@r}
+\def\qrr@tikz@r -{%
+ \pgfutil@ifnextchar l\qrr@tikz@lr@lineto{%
+ \pgfutil@ifnextchar r\qrr@tikz@rl@lineto{%
+ \pgfutil@ifnextchar u\qrr@tikz@ud@lineto{%
+ \pgfutil@ifnextchar d\qrr@tikz@du@lineto\tikz@expand
+ }%
+ }%
+ }%
+}
+%% For the operator |-| we need to check after TikZ found |-
+\let\tikz@orig@vh@lineto@next\tikz@vh@lineto@next
+\def\tikz@vh@lineto@next{%
+ \pgfutil@ifnextchar|{\expandafter\qrr@tikz@vhv@lineto\pgfutil@gobble}%
+ {\pgfutil@ifnextchar\tikz@activebar{\expandafter\qrr@tikz@vhv@lineto\pgfutil@gobble}%
+ {\tikz@orig@vh@lineto@next}}}
+%% For the operator -|- we need to check after TikZ found -|
+\let\tikz@orig@hv@lineto\tikz@hv@lineto
+\def\tikz@hv@lineto{%
+ \pgfutil@ifnextchar-{\expandafter\qrr@tikz@hvh@lineto\pgfutil@gobble}%
+ {\tikz@orig@hv@lineto}}
+
+%% |-|[<opts>] and -|-[<opts>] are allowed
+\def\qrr@tikz@vhv@lineto{\pgfutil@ifnextchar[{\qrr@tikz@collect@hvvh@options\qrr@tikz@vhv@lineto@next}{\qrr@tikz@collect@hvvh@options\qrr@tikz@vhv@lineto@next[]}}
+\def\qrr@tikz@hvh@lineto{\pgfutil@ifnextchar[{\qrr@tikz@collect@hvvh@options\qrr@tikz@hvh@lineto@next}{\qrr@tikz@collect@hvvh@options\qrr@tikz@hvh@lineto@next[]}}
+
+%% r-rl[<opts>], r-lr[<opts>], etc.
+\def\qrr@tikz@rl@lineto rl{\pgfutil@ifnextchar[{\qrr@tikz@collect@hvvh@options\qrr@tikz@rl@lineto@next}{\qrr@tikz@collect@hvvh@options\qrr@tikz@rl@lineto@next[]}}
+\def\qrr@tikz@lr@lineto lr{\pgfutil@ifnextchar[{\qrr@tikz@collect@hvvh@options\qrr@tikz@lr@lineto@next}{\qrr@tikz@collect@hvvh@options\qrr@tikz@lr@lineto@next[]}}
+\def\qrr@tikz@du@lineto du{\pgfutil@ifnextchar[{\qrr@tikz@collect@hvvh@options\qrr@tikz@du@lineto@next}{\qrr@tikz@collect@hvvh@options\qrr@tikz@du@lineto@next[]}}
+\def\qrr@tikz@ud@lineto ud{\pgfutil@ifnextchar[{\qrr@tikz@collect@hvvh@options\qrr@tikz@ud@lineto@next}{\qrr@tikz@collect@hvvh@options\qrr@tikz@ud@lineto@next[]}}
+
+%% TikZ interjects are done, the rest is independent:
+
+\newlength\qrr@tikz@udlr@distance
+\newlength\qrr@tikz@hvvh@distance
+\newif\ifqrr@tikz@hvvh@middle % checks whether spacing = 0 was selected
+\newif\ifqrr@tikz@hvvh@fromcenter
+\newif\iftikz@ortho@preflush
+\tikz@ortho@preflushtrue
+\let\tikz@origtotarget\pgfutil@empty
+
+%%% HVVH/UDLR
+\tikzset{%
+ hvvh/.code={\pgfqkeys{/tikz/hvvh}{#1}},%
+ udlr/.code={\pgfqkeys{/tikz/udlr}{#1}},%
+ hvvh/.search also=/tikz,%
+ udlr/.search also=/tikz,%
+ hvvh/middle 0 to 1/.style={hvvh/spacing=0},%
+ hvvh/from center/.is if=qrr@tikz@hvvh@fromcenter,%
+ udlr/from center/.style={/tikz/hvvh/from center={#1}},
+ hvvh/spacing/.code=% spacing = 0 means that the middle part are the pos-itions 0 to 1,
+ % the first part is -1 to 0, the last part is to 2
+ \pgfmathint{#1}\let\qrr@tikz@hvvh@timing@parts\pgfmathresult% in case they are calculations to be done
+ \ifcase\qrr@tikz@hvvh@timing@parts\relax
+ \qrr@tikz@hvvh@middletrue
+ \def\qrr@tikz@hvvh@timing@parts{1}%
+ \def\qrr@tikz@hvvh@timing@first{0}%
+ \def\qrr@tikz@hvvh@timing@last{1}%
+ \def\qrr@tikz@hvvh@timing@subtr{0}%
+ \def\qrr@tikz@hvvh@timing@factor{1}%
+ \else % in all other cases n > 0 the kinks are at pos = 1/n and (n - 1)/n
+ \qrr@tikz@hvvh@middlefalse
+ \pgfmathreciprocal{#1}\let\qrr@tikz@hvvh@timing@first\pgfmathresult
+ \pgfmathsetmacro\qrr@tikz@hvvh@timing@last{1-\pgfmathresult}%
+ \pgfmathreciprocal{#1-2}%
+ \let\qrr@tikz@hvvh@timing@subtr\pgfmathresult
+ \pgfmathsetmacro\qrr@tikz@hvvh@timing@factor{1+2*\pgfmathresult}%
+ \fi,%
+ hvvh/ratio/.code=\pgfmathsetmacro\qrr@tikz@hvvh@ratio{#1},%
+ % TODO: not possible to do distance in TikZ coordinate system
+ hvvh/distance/.code=\pgfmathsetlength\qrr@tikz@hvvh@distance{#1}\let\qrr@tikz@hvvh@ratio\pgfutil@empty,%
+ udlr/distance/.style={%
+ /tikz/udlr/ud distance={#1},%
+ /tikz/udlr/du distance={#1},%
+ /tikz/udlr/lr distance={#1},%
+ /tikz/udlr/rl distance={#1}},%
+ udlr/ud distance/.initial=+.5cm,%
+ udlr/du distance/.initial=+.5cm,%
+ udlr/lr distance/.initial=+.5cm,%
+ udlr/rl distance/.initial=+.5cm,%
+ hvvh/ratio=.5,% default value
+ hvvh/spacing=4,% default value
+}%
+
+%BEGIN_FOLD Timer
+\def\tikz@timer@hvhline{%
+ \pgf@process{\tikz@timer@start}\pgf@ya\pgf@y
+ \pgf@process{\tikz@timer@end}\pgf@yc\pgf@y
+ \pgf@process{\tikz@timer@middle}\pgf@xb\tikz@time pt%
+ \ifdim\tikz@time pt<\qrr@tikz@hvvh@timing@first pt% first quarter
+ \ifqrr@tikz@hvvh@middle
+ \advance\pgf@xb1pt%
+ \else
+ \pgf@xb\qrr@tikz@hvvh@timing@parts\pgf@xb
+ \fi
+ \edef\tikz@marshal{\noexpand\pgftransformlineattime{\pgf@sys@tonumber{\pgf@xb}}{\noexpand\tikz@timer@start}{%
+ \noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@ya}}}%
+ \else
+ \ifdim\tikz@time pt>\qrr@tikz@hvvh@timing@last pt% last quarter
+ \ifqrr@tikz@hvvh@middle
+ \advance\pgf@xb-1pt%
+ \else
+ \pgf@xb\qrr@tikz@hvvh@timing@parts\pgf@xb
+ \fi
+ \advance\pgf@xb\dimexpr-\qrr@tikz@hvvh@timing@parts pt+1pt\relax%
+ \edef\tikz@marshal{\noexpand\pgftransformlineattime{\pgf@sys@tonumber{\pgf@xb}}%
+ {\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@yc}}{\noexpand\tikz@timer@end}}%
+ \else% middle half
+ \pgf@xb\qrr@tikz@hvvh@timing@factor\pgf@xb%
+ \advance\pgf@xb-\qrr@tikz@hvvh@timing@subtr pt%
+ \edef\tikz@marshal{\noexpand\pgftransformlineattime{\pgf@sys@tonumber{\pgf@xb}}%
+ {\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@ya}}{\noexpand\tikz@timer@middle}}%
+ \fi\fi\tikz@marshal}
+\def\tikz@timer@vhvline{%
+ \pgf@process{\tikz@timer@start}\pgf@xa\pgf@x
+ \pgf@process{\tikz@timer@end}\pgf@xc\pgf@x
+ \pgf@process{\tikz@timer@middle}\pgf@xb\tikz@time pt%
+ \ifdim\tikz@time pt<\qrr@tikz@hvvh@timing@first pt% first quarter
+ \ifqrr@tikz@hvvh@middle
+ \advance\pgf@xb1pt%
+ \else
+ \pgf@xb\qrr@tikz@hvvh@timing@parts\pgf@xb
+ \fi
+ \edef\tikz@marshal{\noexpand\pgftransformlineattime{\pgf@sys@tonumber{\pgf@xb}}{\noexpand\tikz@timer@start}{%
+ \noexpand\pgfqpoint{\the\pgf@xa}{\the\pgf@y}}}%
+ \else
+ \ifdim\tikz@time pt>\qrr@tikz@hvvh@timing@last pt% last quarter
+ \ifqrr@tikz@hvvh@middle
+ \advance\pgf@xb-1pt%
+ \else
+ \pgf@xb\qrr@tikz@hvvh@timing@parts\pgf@xb
+ \fi
+ \advance\pgf@xb by\dimexpr-\qrr@tikz@hvvh@timing@parts pt+1pt\relax%
+ \edef\tikz@marshal{\noexpand\pgftransformlineattime{\pgf@sys@tonumber{\pgf@xb}}%
+ {\noexpand\pgfqpoint{\the\pgf@xc}{\the\pgf@y}}{\noexpand\tikz@timer@end}}%
+ \else% middle half
+ \pgf@xb=\qrr@tikz@hvvh@timing@factor\pgf@xb
+ \advance\pgf@xb by-\qrr@tikz@hvvh@timing@subtr pt%
+ \edef\tikz@marshal{\noexpand\pgftransformlineattime{\pgf@sys@tonumber{\pgf@xb}}%
+ {\noexpand\pgfqpoint{\the\pgf@xa}{\the\pgf@y}}{\noexpand\tikz@timer@middle}}%
+ \fi\fi\tikz@marshal}%
+
+%% collect options and nodes, coordinates and pics onpath
+\let\tikz@hvvh@currentoption\pgfutil@empty
+\def\qrr@tikz@collect@hvvh@options#1[#2]{\edef\tikz@hvvh@currentoption{#2}#1}
+\def\qrr@tikz@hvh@lineto@next{%
+ \pgfutil@ifnextchar n{\tikz@collect@label@onpath\qrr@tikz@hvh@lineto@next}
+ {\pgfutil@ifnextchar c{\tikz@collect@coordinate@onpath\qrr@tikz@hvh@lineto@next}%
+ {\pgfutil@ifnextchar p{\tikz@collect@pic@onpath\qrr@tikz@hvh@lineto@next}{\tikz@scan@one@point\qrr@tikz@@hvh@lineto}}}}%
+\def\qrr@tikz@vhv@lineto@next{%
+ \pgfutil@ifnextchar n{\tikz@collect@label@onpath\qrr@tikz@vhv@lineto@next}
+ {\pgfutil@ifnextchar c{\tikz@collect@coordinate@onpath\qrr@tikz@vhv@lineto@next}%
+ {\pgfutil@ifnextchar p{\tikz@collect@pic@onpath\qrr@tikz@vhv@lineto@next}{\tikz@scan@one@point\qrr@tikz@@vhv@lineto}}}}%
+\def\qrr@tikz@ud@lineto@next{%
+ \pgfutil@ifnextchar n{\tikz@collect@label@onpath\qrr@tikz@ud@lineto@next}
+ {\pgfutil@ifnextchar c{\tikz@collect@coordinate@onpath\qrr@tikz@ud@lineto@next}
+ {\pgfutil@ifnextchar p{\tikz@collect@pic@onpath\qrr@tikz@ud@lineto@next}{\tikz@scan@one@point\qrr@tikz@@ud@lineto}}}}%
+\def\qrr@tikz@du@lineto@next{%
+ \pgfutil@ifnextchar n{\tikz@collect@label@onpath\qrr@tikz@du@lineto@next}
+ {\pgfutil@ifnextchar c{\tikz@collect@coordinate@onpath\qrr@tikz@du@lineto@next}
+ {\pgfutil@ifnextchar p{\tikz@collect@pic@onpath\qrr@tikz@du@lineto@next}{\tikz@scan@one@point\qrr@tikz@@du@lineto}}}}%
+\def\qrr@tikz@lr@lineto@next{%
+ \pgfutil@ifnextchar n{\tikz@collect@label@onpath\qrr@tikz@lr@lineto@next}
+ {\pgfutil@ifnextchar c{\tikz@collect@coordinate@onpath\qrr@tikz@lr@lineto@next}
+ {\pgfutil@ifnextchar p{\tikz@collect@pic@onpath\qrr@tikz@lr@lineto@next}{\tikz@scan@one@point\qrr@tikz@@lr@lineto}}}}%
+\def\qrr@tikz@rl@lineto@next{%
+ \pgfutil@ifnextchar n{\tikz@collect@label@onpath\qrr@tikz@rl@lineto@next}
+ {\pgfutil@ifnextchar c{\tikz@collect@coordinate@onpath\qrr@tikz@rl@lineto@next}
+ {\pgfutil@ifnextchar p{\tikz@collect@pic@onpath\qrr@tikz@rl@lineto@next}{\tikz@scan@one@point\qrr@tikz@@rl@lineto}}}}%
+
+\def\tikz@do@hvvh#1#2#3#4#5{%
+% #1 = first kink
+% #2 = second kink
+% #3 = end
+% #4 = timer
+% #5 = tikz@shapeborder@name
+ \pgfpathlineto{#1}%
+ \pgfpathlineto{#2}%
+ \pgfpathlineto{#3}%
+ \def\tikz@timer@middle{#2}%
+ \def\tikz@timer@end{#3}%
+ \let\tikz@timer#4
+ \edef\pgf@temp{#5}%
+ \ifx\pgf@temp\pgfutil@empty
+ \let\tikz@moveto@waiting\relax
+ \else
+ \let\tikz@moveto@waiting\pgf@temp
+ \fi
+ \tikz@scan@next@command}%
+
+%% -|- operator
+\def\qrr@tikz@@hvh@lineto#1{%
+ \edef\tikz@timer@start{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \pgf@xb=\tikz@lastx
+ \pgf@xc=\tikz@lastx
+ \pgf@yc=\tikz@lasty
+ \tikz@make@last@position{#1}%
+ \tikz@flush@moveto@toward{\pgfqpoint{\tikz@lastx}{\pgf@yc}}\pgf@xc\pgf@yc
+ \begingroup
+ \pgfqkeys{/tikz/hvvh}{/tikz/style/.expand once=\tikz@hvvh@currentoption}%
+ \iftikz@shapeborder
+ \pgf@process{\pgfpointshapeborder{\tikz@shapeborder@name}{\pgfqpoint{\pgf@xb}{\tikz@lasty}}}%
+ \ifqrr@tikz@hvvh@fromcenter
+ \pgf@xc\pgf@xb
+ \fi
+ \pgfutil@ifxempty\qrr@tikz@hvvh@ratio{%
+ \ifdim\qrr@tikz@hvvh@distance<0pt\relax
+ \ifqrr@tikz@hvvh@fromcenter
+ \pgf@xc\tikz@lastx
+ \else
+ \pgf@xc\pgf@x
+ \fi
+ \fi
+ \ifdim\pgf@xb>\tikz@lastx
+ \qrr@tikz@hvvh@distance-\qrr@tikz@hvvh@distance
+ \fi
+ }{%
+ \ifqrr@tikz@hvvh@fromcenter
+ \qrr@tikz@hvvh@distance\tikz@lastx
+ \else
+ \qrr@tikz@hvvh@distance\pgf@x
+ \fi
+ \advance\qrr@tikz@hvvh@distance-\pgf@xc
+ \qrr@tikz@hvvh@distance\qrr@tikz@hvvh@ratio\qrr@tikz@hvvh@distance
+ }%
+ \advance\pgf@xc\qrr@tikz@hvvh@distance
+ \edef\pgf@tempa{\noexpand\pgfqpoint{\the\pgf@xc}{\the\pgf@yc}}%
+ \edef\pgf@tempb{\noexpand\pgfqpoint{\the\pgf@xc}{\the\tikz@lasty}}%
+ \edef\pgf@temp{\pgfqpoint{\the\pgf@x}{\the\pgf@y}}%
+ \else
+ \let\tikz@shapeborder@name\pgfutil@empty
+ \ifqrr@tikz@hvvh@fromcenter
+ \pgf@xc\pgf@xb
+ \fi
+ \pgfutil@ifxempty\qrr@tikz@hvvh@ratio{%
+ \ifdim\qrr@tikz@hvvh@distance<0pt\relax
+ \pgf@xc\tikz@lastx
+ \fi
+ \ifdim\pgf@xb>\tikz@lastx
+ \qrr@tikz@hvvh@distance-\qrr@tikz@hvvh@distance
+ \fi
+ }{%
+ \qrr@tikz@hvvh@distance\tikz@lastx
+ \advance\qrr@tikz@hvvh@distance-\pgf@xc
+ \qrr@tikz@hvvh@distance\qrr@tikz@hvvh@ratio\qrr@tikz@hvvh@distance
+ }%
+ \advance\pgf@xc\qrr@tikz@hvvh@distance
+ \edef\pgf@tempa{\noexpand\pgfqpoint{\the\pgf@xc}{\the\pgf@yc}}%
+ \edef\pgf@tempb{\noexpand\pgfqpoint{\the\pgf@xc}{\the\tikz@lasty}}%
+ \edef\pgf@temp{\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \fi%
+ \xdef\pgf@marshal{%
+ \noexpand\tikz@do@hvvh
+ {\expandafter\noexpand\pgf@tempa}%
+ {\expandafter\noexpand\pgf@tempb}%
+ {\expandafter\noexpand\pgf@temp}%
+ {\noexpand\tikz@timer@hvhline}{\tikz@shapeborder@name}}%
+ \endgroup
+ \pgf@marshal}%
+
+%% |-| operator
+\def\qrr@tikz@@vhv@lineto#1{%
+ \edef\tikz@timer@start{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \pgf@xc=\tikz@lastx
+ \pgf@yb=\tikz@lasty
+ \pgf@yc=\tikz@lasty
+ \tikz@make@last@position{#1}%
+ \tikz@flush@moveto@toward{\pgfqpoint{\pgf@xc}{\tikz@lasty}}\pgf@xc\pgf@yc
+ \begingroup
+ \pgfqkeys{/tikz/hvvh}{/tikz/style/.expand once=\tikz@hvvh@currentoption}%
+ \iftikz@shapeborder
+ \pgf@process{\pgfpointshapeborder{\tikz@shapeborder@name}{\pgfqpoint{\tikz@lastx}{\pgf@yb}}}%
+ \ifqrr@tikz@hvvh@fromcenter
+ \pgf@yc\pgf@yb
+ \fi
+ \ifx\qrr@tikz@hvvh@ratio\pgfutil@empty
+ \ifdim\qrr@tikz@hvvh@distance<0pt\relax
+ \ifqrr@tikz@hvvh@fromcenter
+ \pgf@yc\tikz@lasty
+ \else
+ \pgf@yc\pgf@y
+ \fi
+ \fi
+ \ifdim\pgf@yb>\tikz@lasty
+ \qrr@tikz@hvvh@distance-\qrr@tikz@hvvh@distance
+ \fi
+ \else
+ \ifqrr@tikz@hvvh@fromcenter
+ \qrr@tikz@hvvh@distance\tikz@lasty
+ \else
+ \qrr@tikz@hvvh@distance\pgf@y
+ \fi
+ \advance\qrr@tikz@hvvh@distance-\pgf@yc
+ \qrr@tikz@hvvh@distance\qrr@tikz@hvvh@ratio\qrr@tikz@hvvh@distance
+ \fi
+ \advance\pgf@yc\qrr@tikz@hvvh@distance
+ \edef\pgf@tempa{\noexpand\pgfqpoint{\the\pgf@xc}{\the\pgf@yc}}%
+ \edef\pgf@tempb{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\pgf@yc}}%
+ \edef\pgf@temp{\pgfqpoint{\the\pgf@x}{\the\pgf@y}}%
+ \else
+ \let\tikz@shapeborder@name\pgfutil@empty
+ \ifqrr@tikz@hvvh@fromcenter
+ \pgf@yc\pgf@yb
+ \fi
+ \ifx\qrr@tikz@hvvh@ratio\pgfutil@empty
+ \ifdim\qrr@tikz@hvvh@distance<0pt\relax
+ \pgf@yc\tikz@lasty
+ \fi
+ \ifdim\pgf@yb>\tikz@lasty
+ \qrr@tikz@hvvh@distance-\qrr@tikz@hvvh@distance
+ \fi
+ \else
+ \qrr@tikz@hvvh@distance\tikz@lasty
+ \advance\qrr@tikz@hvvh@distance-\pgf@yc
+ \qrr@tikz@hvvh@distance\qrr@tikz@hvvh@ratio\qrr@tikz@hvvh@distance
+ \fi
+ \advance\pgf@yc\qrr@tikz@hvvh@distance
+ \edef\pgf@tempa{\noexpand\pgfqpoint{\the\pgf@xc}{\the\pgf@yc}}%
+ \edef\pgf@tempb{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\pgf@yc}}%
+ \edef\pgf@temp{\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \fi%
+ \xdef\pgf@marshal{%
+ \noexpand\tikz@do@hvvh
+ {\expandafter\noexpand\pgf@tempa}%
+ {\expandafter\noexpand\pgf@tempb}%
+ {\expandafter\noexpand\pgf@temp}%
+ {\noexpand\tikz@timer@vhvline}{\tikz@shapeborder@name}}%
+ \endgroup
+ \pgf@marshal}%
+
+%% r-ud operator
+\def\qrr@tikz@@ud@lineto#1{%
+ \edef\tikz@timer@start{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \pgf@xc\tikz@lastx
+ \pgf@yb\tikz@lasty
+ \advance\tikz@lasty1pt%
+ \let\pgf@temp\tikz@moveto@waiting
+ \tikz@flush@moveto@toward{\pgfqpoint{\tikz@lastx}{\tikz@lasty}}\pgf@xc\pgf@yc
+ \tikz@make@last@position{#1}%
+ \begingroup
+ \pgfqkeys{/tikz/udlr}{/tikz/style/.expand once=\tikz@hvvh@currentoption}%
+ \pgfmathsetlength\qrr@tikz@udlr@distance{\pgfkeysvalueof{/tikz/udlr/ud distance}}%
+ \iftikz@shapeborder
+ \advance\pgf@y1pt%
+ \pgf@process{\pgfpointshapeborder{\tikz@shapeborder@name}{\pgfqpoint{\pgf@x}{\pgf@y}}}%
+ \ifqrr@tikz@hvvh@fromcenter
+ \pgf@yc\pgf@yb
+ \else\ifx\pgf@temp\relax
+ \pgf@yc\pgf@yb
+ \fi
+ \fi
+ \ifdim\pgf@yc<\pgf@y
+ \ifqrr@tikz@hvvh@fromcenter
+ \pgf@yc=\tikz@lasty
+ \else
+ \pgf@yc=\pgf@y
+ \fi
+ \fi
+ \advance\pgf@yc\qrr@tikz@udlr@distance
+ \edef\pgf@temp{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}%
+ \else
+ \let\tikz@shapeborder@name\pgfutil@empty
+ \ifx\pgf@temp\relax\else
+ \ifqrr@tikz@hvvh@fromcenter\else
+ \pgf@yb\pgf@yc
+ \fi
+ \fi
+ \ifdim\pgf@yb<\tikz@lasty\pgf@yb\tikz@lasty\fi
+ \advance\pgf@yb\qrr@tikz@udlr@distance
+ \pgf@yc\pgf@yb
+ \edef\pgf@temp{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \fi
+ \xdef\pgf@marshal{%
+ \noexpand\tikz@do@hvvh
+ {\noexpand\pgfqpoint{\the\pgf@xc}{\the\pgf@yc}}%
+ {\noexpand\pgfqpoint{\the\tikz@lastx}{\the\pgf@yc}}%
+ {\expandafter\noexpand\pgf@temp}%
+ {\noexpand\tikz@timer@vhvline}{\tikz@shapeborder@name}}%
+ \endgroup
+ \pgf@marshal}%
+
+%% r-du operator
+\def\qrr@tikz@@du@lineto#1{%
+ \edef\tikz@timer@start{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \pgf@xc\tikz@lastx
+ \pgf@yb\tikz@lasty
+ \advance\tikz@lasty-1pt%
+ \let\pgf@temp\tikz@moveto@waiting
+ \tikz@flush@moveto@toward{\pgfqpoint{\tikz@lastx}{\tikz@lasty}}\pgf@xc\pgf@yc
+ \tikz@make@last@position{#1}%
+ \begingroup
+ \pgfqkeys{/tikz/udlr}{/tikz/style/.expand once=\tikz@hvvh@currentoption}%
+ \pgfmathsetlength\qrr@tikz@udlr@distance{\pgfkeysvalueof{/tikz/udlr/du distance}}%
+ \iftikz@shapeborder
+ \advance\pgf@y-1pt%
+ \pgf@process{\pgfpointshapeborder{\tikz@shapeborder@name}{\pgfqpoint{\pgf@x}{\pgf@y}}}%
+ \ifqrr@tikz@hvvh@fromcenter
+ \pgf@yc\pgf@yb
+ \else\ifx\pgf@temp\relax
+ \pgf@yc\pgf@yb
+ \fi
+ \fi
+ \ifdim\pgf@yc>\pgf@y
+ \ifqrr@tikz@hvvh@fromcenter
+ \pgf@yc=\tikz@lasty
+ \else
+ \pgf@yc=\pgf@y
+ \fi
+ \fi
+ \advance\pgf@yc-\qrr@tikz@udlr@distance
+ \edef\pgf@temp{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}%
+ \else
+ \let\tikz@shapeborder@name\pgfutil@empty
+ \ifx\pgf@temp\relax\else
+ \ifqrr@tikz@hvvh@fromcenter\else
+ \pgf@yb\pgf@yc
+ \fi
+ \fi
+ \ifdim\pgf@yb>\tikz@lasty\pgf@yb\tikz@lasty\fi
+ \advance\pgf@yb-\qrr@tikz@udlr@distance
+ \pgf@yc\pgf@yb
+ \edef\pgf@temp{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \fi
+ \xdef\pgf@marshal{%
+ \noexpand\tikz@do@hvvh
+ {\noexpand\pgfqpoint{\the\pgf@xc}{\the\pgf@yc}}%
+ {\noexpand\pgfqpoint{\the\tikz@lastx}{\the\pgf@yc}}%
+ {\expandafter\noexpand\pgf@temp}%
+ {\noexpand\tikz@timer@vhvline}{\tikz@shapeborder@name}}%
+ \endgroup
+ \pgf@marshal}%
+
+%% r-lr operator
+\def\qrr@tikz@@lr@lineto#1{%
+ \edef\tikz@timer@start{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \pgf@xb\tikz@lastx
+ \pgf@yc\tikz@lasty
+ \advance\tikz@lastx-1pt%
+ \let\pgf@temp\tikz@moveto@waiting
+ \tikz@flush@moveto@toward{\pgfqpoint{\tikz@lastx}{\tikz@lasty}}\pgf@xc\pgf@yc
+ \tikz@make@last@position{#1}%
+ \begingroup
+ \pgfqkeys{/tikz/udlr}{/tikz/style/.expand once=\tikz@hvvh@currentoption}%
+ \pgfmathsetlength\qrr@tikz@udlr@distance{\pgfkeysvalueof{/tikz/udlr/lr distance}}%
+ \iftikz@shapeborder
+ \advance\pgf@x-1pt%
+ \pgf@process{\pgfpointshapeborder{\tikz@shapeborder@name}{\pgfqpoint{\pgf@x}{\pgf@y}}}%
+ \ifqrr@tikz@hvvh@fromcenter
+ \pgf@xc\pgf@xb
+ \else\ifx\pgf@temp\relax
+ \pgf@xc\pgf@xb
+ \fi
+ \fi
+ \ifdim\pgf@xc>\pgf@x
+ \ifqrr@tikz@hvvh@fromcenter
+ \pgf@xc=\tikz@lastx
+ \else
+ \pgf@xc=\pgf@x
+ \fi
+ \fi
+ \advance\pgf@xc-\qrr@tikz@udlr@distance
+ \edef\pgf@temp{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}%
+ \else
+ \let\tikz@shapeborder@name\pgfutil@empty
+ \ifx\pgf@temp\relax\else
+ \ifqrr@tikz@hvvh@fromcenter\else
+ \pgf@xb\pgf@xc
+ \fi
+ \fi
+ \ifdim\pgf@xb>\tikz@lastx\pgf@xb\tikz@lastx\fi
+ \advance\pgf@xb-\qrr@tikz@udlr@distance
+ \pgf@xc\pgf@xb
+ \edef\pgf@temp{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \fi
+ \xdef\pgf@marshal{%
+ \noexpand\tikz@do@hvvh
+ {\noexpand\pgfqpoint{\the\pgf@xc}{\the\pgf@yc}}%
+ {\noexpand\pgfqpoint{\the\pgf@xc}{\the\tikz@lasty}}%
+ {\expandafter\noexpand\pgf@temp}%
+ {\noexpand\tikz@timer@hvhline}{\tikz@shapeborder@name}}%
+ \endgroup
+ \pgf@marshal}%
+
+%% r-rl operator
+\def\qrr@tikz@@rl@lineto#1{%
+ \edef\tikz@timer@start{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \pgf@xb\tikz@lastx
+ \pgf@yc\tikz@lasty
+ \advance\tikz@lastx1pt%
+ \let\pgf@temp\tikz@moveto@waiting
+ \tikz@flush@moveto@toward{\pgfqpoint{\tikz@lastx}{\tikz@lasty}}\pgf@xc\pgf@yc
+ \tikz@make@last@position{#1}%
+ \begingroup
+ \pgfqkeys{/tikz/udlr}{/tikz/style/.expand once=\tikz@hvvh@currentoption}%
+ \pgfmathsetlength\qrr@tikz@udlr@distance{\pgfkeysvalueof{/tikz/udlr/rl distance}}%
+ \iftikz@shapeborder%
+ \advance\pgf@x1pt%
+ \pgf@process{\pgfpointshapeborder{\tikz@shapeborder@name}{\pgfqpoint{\pgf@x}{\pgf@y}}}%
+ \ifqrr@tikz@hvvh@fromcenter
+ \pgf@xc\pgf@xb
+ \else\ifx\pgf@temp\relax
+ \pgf@xc\pgf@xb
+ \fi
+ \fi
+ \ifdim\pgf@xc<\pgf@x
+ \ifqrr@tikz@hvvh@fromcenter
+ \pgf@xc=\tikz@lastx
+ \else
+ \pgf@xc=\pgf@x
+ \fi
+ \fi
+ \advance\pgf@xc\qrr@tikz@udlr@distance
+ \edef\pgf@temp{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}%
+ \else
+ \let\tikz@shapeborder@name\pgfutil@empty%
+ \ifx\pgf@temp\relax\else
+ \ifqrr@tikz@hvvh@fromcenter\else
+ \pgf@xb\pgf@xc
+ \fi
+ \fi
+ \ifdim\pgf@xb<\tikz@lastx\pgf@xb\tikz@lastx\fi
+ \advance\pgf@xb\qrr@tikz@udlr@distance
+ \pgf@xc\pgf@xb
+ \edef\pgf@temp{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \fi
+ \xdef\pgf@marshal{%
+ \noexpand\tikz@do@hvvh
+ {\noexpand\pgfqpoint{\the\pgf@xc}{\the\pgf@yc}}%
+ {\noexpand\pgfqpoint{\the\pgf@xc}{\the\tikz@lasty}}%
+ {\expandafter\noexpand\pgf@temp}%
+ {\noexpand\tikz@timer@hvhline}{\tikz@shapeborder@name}}%
+ \endgroup
+ \pgf@marshal}%
+
+%% a few nice to haves, use with to or edge operator
+\let\tikz@origtotarget\pgfutil@empty
+\tikzset{
+ node as new start/.is if=tikz@ortho@preflush,
+ node as new start,
+ horizontal vertical/.style={to path={-| (\tikztotarget) \tikztonodes}},
+ vertical horizontal/.style={to path={|- (\tikztotarget) \tikztonodes}},
+ horizontal vertical horizontal/.style={to path={-|- (\tikztotarget) \tikztonodes}},
+ vertical horizontal vertical/.style={to path={|-| (\tikztotarget) \tikztonodes}},
+ only vertical second/.style={to path={
+ \pgfextra
+ \let\tikz@ortho@anchor\pgfutil@empty
+ \let\tikz@origtotarget\pgfutil@empty
+ \tikz@scan@one@point\pgfutil@firstofone(\tikztostart)\relax
+ \iftikz@shapeborder
+ \tikz@scan@one@point\pgfutil@firstofone(\tikztotarget)\relax
+ \ifdim\pgf@y>\tikz@lasty\relax
+ \edef\tikztostart{\tikztostart.north}%
+ \iftikz@shapeborder\def\tikz@ortho@anchor{.south}\fi
+ \else
+ \edef\tikztostart{\tikztostart.south}%
+ \iftikz@shapeborder\def\tikz@ortho@anchor{.north}\fi
+ \fi
+ \fi
+ \def\tikz@tempa{#1}%
+ \ifx\tikz@tempa\pgfutil@empty\else
+ \let\tikz@origtotarget\tikztotarget
+ \edef\tikztotarget{[xshift={#1}]\tikztotarget\tikz@ortho@anchor}%
+ \fi
+ \endpgfextra
+ [insert path/.expanded={
+ (perpendicular cs: horizontal line through={(\tikztostart)},
+ vertical line through={(\tikztotarget)}) -- (\tikztotarget)}] \tikztonodes
+ \pgfextra
+ \ifx\tikz@origtotarget\pgfutil@empty\else
+ \iftikz@ortho@preflush(\tikz@origtotarget)\fi\fi\endpgfextra}},
+ only vertical second/.default=,
+ only horizontal second/.style={to path={
+ \pgfextra
+ \let\tikz@ortho@anchor\pgfutil@empty
+ \let\tikz@origtotarget\pgfutil@empty
+ \tikz@scan@one@point\pgfutil@firstofone(\tikztostart)\relax
+ \iftikz@shapeborder
+ \tikz@scan@one@point\pgfutil@firstofone(\tikztotarget)\relax
+ \ifdim\pgf@x>\tikz@lastx\relax
+ \edef\tikztostart{\tikztostart.east}%
+ \iftikz@shapeborder\def\tikz@ortho@anchor{.west}\fi
+ \else
+ \edef\tikztostart{\tikztostart.west}%
+ \iftikz@shapeborder\def\tikz@ortho@anchor{.east}\fi
+ \fi
+ \fi
+ \def\tikz@tempa{#1}%
+ \ifx\tikz@tempa\pgfutil@empty\else
+ \let\tikz@origtotarget\tikztotarget
+ \edef\tikztotarget{[yshift={#1}]\tikztotarget\tikz@ortho@anchor}%
+ \fi
+ \endpgfextra
+ [insert path/.expanded={
+ (perpendicular cs: vertical line through={(\tikztostart)},
+ horizontal line through={(\tikztotarget)}) -- (\tikztotarget)}] \tikztonodes
+ \pgfextra
+ \ifx\tikz@origtotarget\pgfutil@empty\else
+ \iftikz@ortho@preflush(\tikz@origtotarget)\fi\fi\endpgfextra}},
+ only horizontal second/.default=,
+ only vertical first/.style={to path={
+ \pgfextra
+ \let\tikz@ortho@anchor\pgfutil@empty
+ \let\tikz@origtotarget\pgfutil@empty
+ \tikz@scan@one@point\pgfutil@firstofone(\tikztotarget)\relax
+ \iftikz@shapeborder
+ \let\tikz@origtotarget\tikztotarget
+ \tikz@scan@one@point\pgfutil@firstofone(\tikztostart)\relax
+ \ifdim\pgf@y>\tikz@lasty\relax
+ \edef\tikztotarget{\tikztotarget.south}%
+ \iftikz@shapeborder\def\tikz@ortho@anchor{.north}\fi
+ \else
+ \edef\tikztotarget{\tikztotarget.north}%
+ \iftikz@shapeborder\def\tikz@ortho@anchor{.south}\fi
+ \fi
+ \fi
+ \def\tikz@tempa{#1}%
+ \ifx\tikz@tempa\pgfutil@empty\else
+ \edef\tikztostart{[xshift={#1}]\tikztostart\tikz@ortho@anchor}%
+ \fi
+ \endpgfextra
+ [insert path/.expanded={(\tikztostart)}]
+ -- (perpendicular cs: vertical line through/.expanded={(\tikztostart)},
+ horizontal line through={(\tikztotarget)})
+ \tikztonodes
+ \pgfextra
+ \ifx\tikz@origtotarget\pgfutil@empty\else
+ \iftikz@ortho@preflush(\tikz@origtotarget)\fi\fi\endpgfextra}},
+ only vertical first/.default=,
+ only horizontal first/.style={to path={
+ \pgfextra
+ \let\tikz@ortho@anchor\pgfutil@empty
+ \let\tikz@origtotarget\pgfutil@empty
+ \tikz@scan@one@point\pgfutil@firstofone(\tikztotarget)\relax
+ \iftikz@shapeborder
+ \let\tikz@origtotarget\tikztotarget
+ \tikz@scan@one@point\pgfutil@firstofone(\tikztostart)\relax
+ \ifdim\pgf@x>\tikz@lastx\relax
+ \edef\tikztotarget{\tikztotarget.west}%
+ \iftikz@shapeborder\def\tikz@ortho@anchor{.east}\fi
+ \else
+ \edef\tikztotarget{\tikztotarget.east}%
+ \iftikz@shapeborder\def\tikz@ortho@anchor{.west}\fi
+ \fi
+ \fi
+ \def\tikz@tempa{#1}%
+ \ifx\tikz@tempa\pgfutil@empty\else
+ \edef\tikztostart{[yshift={#1}]\tikztostart\tikz@ortho@anchor}%
+ \fi
+ \endpgfextra
+ [insert path/.expanded={(\tikztostart)}]
+ -- (perpendicular cs: horizontal line through/.expanded={(\tikztostart)},
+ vertical line through={(\tikztotarget)})
+ \tikztonodes \pgfextra
+ \ifx\tikz@origtotarget\pgfutil@empty\else
+ \iftikz@ortho@preflush(\tikz@origtotarget)\fi\fi\endpgfextra}},
+ only horizontal first/.default=,
+ only vertical first to center/.style={to path={
+ \pgfextra
+ \let\tikz@origtotarget\tikztotarget
+ \endpgfextra
+ (\tikztostart) -- (perpendicular cs: vertical line through={(\tikztostart)},
+ horizontal line through={(\tikztotarget)})
+ \tikztonodes \ifx\tikz@origtotarget\pgfutil@empty\else\iftikz@ortho@preflush(\tikz@origtotarget)\fi\fi}},
+ only horizontal first to center/.style={to path={
+ \pgfextra
+ \let\tikz@origtotarget\tikztotarget
+ \endpgfextra
+ (\tikztostart) -- (perpendicular cs: horizontal line through={(\tikztostart)},
+ vertical line through={(\tikztotarget)})
+ \tikztonodes \ifx\tikz@origtotarget\pgfutil@empty\else\iftikz@ortho@preflush(\tikz@origtotarget)\fi\fi}}%
+}
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.paths.timer.code.tex b/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.paths.timer.code.tex
new file mode 100644
index 00000000000..3a4d30e68f0
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.paths.timer.code.tex
@@ -0,0 +1,188 @@
+% Copyright 2022 by Qrrbrbirlbel
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+\def\tikz@rectB#1{% originally from tikz.code.tex
+ \tikz@make@last@position{#1}%
+ \edef\tikz@timer@end{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \let\tikz@timer\tikz@timer@rectangle% %% Timer: new timer
+ \tikz@@movetosave{\pgfqpoint{\pgf@xa}{\pgf@ya}}%
+ \tikz@path@lineto{\pgfqpoint{\pgf@xa}{\tikz@lasty}}%
+ \tikz@path@lineto{\pgfqpoint{\tikz@lastx}{\tikz@lasty}}%
+ \tikz@path@lineto{\pgfqpoint{\tikz@lastx}{\pgf@ya}}%
+ \iftikz@snaked
+ \tikz@path@lineto{\pgfqpoint{\pgf@xa}{\pgf@ya}}%
+ \fi
+ \pgfpathclose
+ \tikz@@movetosave{\pgfqpoint{\tikz@lastx}{\tikz@lasty}}%
+ \def\pgfstrokehook{}%
+ \let\tikz@tangent\relax
+ \tikz@scan@next@command
+}%
+
+\def\tikz@@sine#1{% originally from tikz.code.tex
+ \let\tikz@tangent\tikz@tangent@lookup
+ \tikz@flush@moveto
+ \edef\tikz@timer@start{\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}% %% Timer: save start position
+ \pgf@process{#1}%
+ \edef\tikz@timer@end{\pgfqpoint{\the\pgf@x}{\the\pgf@y}}% %% Timer: saver target position
+ \pgf@xc=\pgf@x
+ \pgf@yc=\pgf@y
+ \advance\pgf@xc by-\tikz@lastx
+ \advance\pgf@yc by-\tikz@lasty
+ \advance\tikz@lastx by\pgf@xc
+ \advance\tikz@lasty by\pgf@yc
+ \tikz@lastxsaved=\tikz@lastx
+ \tikz@lastysaved=\tikz@lasty
+ \tikz@updatecurrenttrue
+ \let\tikz@timer=\tikz@timer@sine% %% Timer: new timer
+ \pgfpathsine{\pgfqpoint{\pgf@xc}{\pgf@yc}}%
+ \tikz@scan@next@command
+}
+
+\def\tikz@@cosine#1{% originally from tikz.code.tex
+ \let\tikz@tangent\tikz@tangent@lookup
+ \tikz@flush@moveto
+ \edef\tikz@timer@start{\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}% %% Timer: save start position
+ \pgf@process{#1}%
+ \edef\tikz@timer@end{\pgfqpoint{\the\pgf@x}{\the\pgf@y}}% %% Timer: save target position
+ \pgf@xc=\pgf@x
+ \pgf@yc=\pgf@y
+ \advance\pgf@xc by-\tikz@lastx
+ \advance\pgf@yc by-\tikz@lasty
+ \advance\tikz@lastx by\pgf@xc
+ \advance\tikz@lasty by\pgf@yc
+ \tikz@lastxsaved=\tikz@lastx
+ \tikz@lastysaved=\tikz@lasty
+ \tikz@updatecurrenttrue
+ \let\tikz@timer=\tikz@timer@cosine% %% Timer: new timer
+ \pgfpathcosine{\pgfqpoint{\pgf@xc}{\pgf@yc}}%
+ \tikz@scan@next@command
+}
+
+\def\tikz@timer@rectangle{%
+ \pgfutil@tempdima\tikz@time pt
+ \ifdim\pgfutil@tempdima<.5pt\else % if we're at the return pos-ition we switch start and end
+ \advance\pgfutil@tempdima-.5pt
+ \let\pgf@tempa\tikz@timer@start
+ \let\tikz@timer@start\tikz@timer@end
+ \let\tikz@timer@end\pgf@tempa
+ \fi
+ \multiply\pgfutil@tempdima2
+ \edef\tikz@time{\strip@pt\pgfutil@tempdima}%
+ \tikz@timer@hvline}%
+
+\def\tikz@parabola@semifinal#1{%
+ \tikz@flush@moveto
+ % Save original start:
+ \edef\tikz@timer@start{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}% %% Timer: save start position
+ \pgf@xb=\tikz@lastx
+ \pgf@yb=\tikz@lasty
+ \tikz@make@last@position{#1}%
+ \edef\tikz@timer@end{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}% %% Timer: save target position
+ \pgf@xc=\tikz@lastx
+ \pgf@yc=\tikz@lasty
+ \begingroup% now calculate bend:
+ \let\tikz@after@path\pgfutil@empty
+ \expandafter\tikzset\expandafter{\tikz@parabola@option}%
+ \tikz@lastxsaved=\tikz@parabola@bend@factor\tikz@lastx
+ \tikz@lastysaved=\tikz@parabola@bend@factor\tikz@lasty
+ \advance\tikz@lastxsaved by\pgf@xb
+ \advance\tikz@lastysaved by\pgf@yb
+ \advance\tikz@lastxsaved by-\tikz@parabola@bend@factor\pgf@xb
+ \advance\tikz@lastysaved by-\tikz@parabola@bend@factor\pgf@yb
+ \expandafter\tikz@make@last@position\expandafter{\tikz@parabola@bend}%
+ \edef\tikz@timer@middle{{\the\tikz@lastx}{\the\tikz@lasty}}% %% Timer: save bend postion
+ % Calculate delta from bend
+ \advance\pgf@xc by-\tikz@lastx
+ \advance\pgf@yc by-\tikz@lasty
+ % Ok, now calculate delta to bend
+ \advance\tikz@lastx by-\pgf@xb
+ \advance\tikz@lasty by-\pgf@yb
+ \edef\tikz@marshall{%
+ \noexpand\let\noexpand\tikz@timer\noexpand\tikz@timer@parabola
+ \noexpand\edef\noexpand\tikz@timer@middle{\noexpand\pgfqpoint\tikz@timer@middle}%
+ \noexpand\pgfpathparabola{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}{\noexpand\pgfqpoint{\the\pgf@xc}{\the\pgf@yc}}%
+ }%
+ \expandafter\endgroup%
+ \tikz@marshall
+ \expandafter\tikz@scan@next@command\tikz@after@path%
+}%
+
+\def\tikz@timer@parabola{% following calculations, see \def of \pgfpathparabola in pgfcorepathconstruct.code.tex (l. 1261)
+ \ifdim\tikz@time pt<.5pt\relax % first part
+ \pgf@process{\tikz@timer@middle}%
+ \pgf@xc\pgf@x\pgf@yc\pgf@y
+ \pgf@xb\pgf@x\pgf@yb\pgf@y
+ \pgf@process{\tikz@timer@start}%
+ \advance\pgf@xc-\pgf@x\pgf@xc.1125\pgf@xc
+ \advance\pgf@xc\pgf@x % = start_x + .1125 (middle_x - start_x)
+ \advance\pgf@yc-\pgf@y\pgf@yc.225\pgf@yc
+ \advance\pgf@yc\pgf@y % = start_y + .225 (middle_y - start_y)
+ \advance\pgf@xb\pgf@x\pgf@xb.5\pgf@xb % = .5 (middle_x + start_x) = start_x + .5 (middle_x - start_x)
+ \pgf@xa=\tikz@time pt%
+ \pgf@xa=2\pgf@xa % = 2 * \tikz@time
+ \edef\tikz@marshall{\noexpand\pgftransformcurveattime{\strip@pt\pgf@xa}{\noexpand\tikz@timer@start}%
+ {\noexpand\pgfqpoint{\the\pgf@xc}{\the\pgf@yc}}%
+ {\noexpand\pgfqpoint{\the\pgf@xb}{\the\pgf@yb}}%
+ {\noexpand\tikz@timer@middle}}%
+ \else % second part
+ \pgf@process{\tikz@timer@end}%
+ \pgf@xc\pgf@x
+ \pgf@xb\pgf@x
+ \pgf@yb\pgf@y
+ \pgf@process{\tikz@timer@middle}%
+ \advance\pgf@xc\pgf@x\pgf@xc.5\pgf@xc % = .5 (end_x + middle_x) = middle_x + .5 (end_x - middle_x)
+ \advance\pgf@xb-\pgf@x\pgf@xb.8875\pgf@xb
+ \advance\pgf@xb\pgf@x % = middle_x + .8875 (end_x - middle_x)
+ \advance\pgf@yb-\pgf@y\pgf@yb.775\pgf@yb
+ \advance\pgf@yb\pgf@y % = middle_y + .775 (end_y - middle_y)
+ \pgf@xa=\tikz@time pt%
+ \advance\pgf@xa-.5pt%
+ \pgf@xa=2\pgf@xa % = 2 (\tikz@zime - .5)
+ \edef\tikz@marshall{\noexpand\pgftransformcurveattime{\strip@pt\pgf@xa}{\noexpand\tikz@timer@middle}%
+ {\noexpand\pgfqpoint{\the\pgf@xc}{\the\pgf@y}}%
+ {\noexpand\pgfqpoint{\the\pgf@xb}{\the\pgf@yb}}%
+ {\noexpand\tikz@timer@end}}%
+ \fi
+ \tikz@marshall
+}
+
+\def\tikz@timer@sine{% following calculations, see \def of \pgfpathsine in pgfcorepathconstruct.code.tex (l. 1315)
+ \pgf@process{\tikz@timer@end}%
+ \pgf@xc\pgf@x\pgf@yc\pgf@y
+ \pgf@xb\pgf@x\pgf@yb\pgf@y
+ \pgf@process{\tikz@timer@start}%
+ \advance\pgf@xc-\pgf@x\pgf@xc.3260\pgf@xc
+ \advance\pgf@xc\pgf@x % = start_x + .3260 (end_x - start_x)
+ \advance\pgf@yc-\pgf@y\pgf@yc.5120\pgf@yc
+ \advance\pgf@yc\pgf@y % = start_y + .5120 (end_y - start_y)
+ \advance\pgf@xb-\pgf@x\pgf@xb.6380\pgf@xb % = start_x + .6380 (end_x - start_x)
+ \advance\pgf@xb\pgf@x
+ \edef\tikz@marshall{\noexpand\pgftransformcurveattime{\tikz@time}{\noexpand\tikz@timer@start}%
+ {\noexpand\pgfqpoint{\the\pgf@xc}{\the\pgf@yc}}%
+ {\noexpand\pgfqpoint{\the\pgf@xb}{\the\pgf@yb}}%
+ {\noexpand\tikz@timer@end}}%
+ \tikz@marshall
+}
+\def\tikz@timer@cosine{% following calculations, see \def of \pgfpathcosine in pgfcorepathconstruct.code.tex (l. 1345)
+ \pgf@process{\tikz@timer@end}%
+ \pgf@xc\pgf@x\pgf@yc\pgf@y
+ \pgf@xb\pgf@x\pgf@yb\pgf@y
+ \pgf@process{\tikz@timer@start}%
+ \advance\pgf@xb-\pgf@x\pgf@xb.6740\pgf@xb
+ \advance\pgf@xb\pgf@x % = start_x + .6740 (end_x - start_x)
+ \advance\pgf@yb-\pgf@y\pgf@yb.4880\pgf@yb
+ \advance\pgf@yb\pgf@y % = start_y + .4880 (end_y - start_y)
+ \advance\pgf@xc-\pgf@x\pgf@xc.3620\pgf@xc % = start_x + .3620 (end_x - start_x)
+ \advance\pgf@xc\pgf@x
+ \edef\tikz@marshall{\noexpand\pgftransformcurveattime{\tikz@time}{\noexpand\tikz@timer@start}%
+ {\noexpand\pgfqpoint{\the\pgf@xc}{\the\pgf@y}}%
+ {\noexpand\pgfqpoint{\the\pgf@xb}{\the\pgf@yb}}%
+ {\noexpand\tikz@timer@end}}%
+ \tikz@marshall
+}
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.patterns.images.code.tex b/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.patterns.images.code.tex
new file mode 100644
index 00000000000..7cad25e42b9
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.patterns.images.code.tex
@@ -0,0 +1,53 @@
+% This is the TikZ library patterns.images
+% Load with \usetikzlibrary{patterns.images}
+%
+% Macro:
+% - \pgfSetupImageAsPattern[<opt arguments for \pgfdeclareimage>]{<name>}{<path/file>}
+%
+% Keys are:
+% - use image as pattern=<name>
+% - image as pattern=<opt arguments for \pgftext>
+
+\def\pgfsetupimageaspattern{\pgfutil@ifnextchar[\qrr@pgfsetupimageaspattern{\qrr@pgfsetupimageaspattern[]}}
+\def\qrr@pgfsetupimageaspattern[#1]#2#3{% #1 = options
+ % #2 = image name
+ % #3 = file name
+ \pgfdeclareimage[#1]{qrr@pgf@iap@#2}{#3}%
+ \sbox\pgfutil@tempboxa{\pgfuseimage{qrr@pgf@iap@#2}}%
+ \expandafter\edef\csname qrr@pgf@iap@#2@\endcsname{{\the\wd\pgfutil@tempboxa}{\the\ht\pgfutil@tempboxa}}%
+}
+\tikzset{
+ image as pattern/name/.initial=,
+ image as pattern/option/.style=,
+ image as pattern/options/.style={/tikz/image as pattern/option/.append style={#1}},
+ image as pattern/.default=,
+ image as pattern/.code={
+ \tikzset{image as pattern/.cd,#1}
+ \pgfkeysgetvalue{/tikz/image as pattern/name}\tikz@temp
+ \pgfutil@ifxempty\tikz@temp{%
+ \tikzerror{You need to specify a name for the ``image-pattern'' to be used.}%
+ }{%
+ \edef\tikz@tempa{\expandafter\expandafter\expandafter\pgfutil@firstoftwo\csname qrr@pgf@iap@\tikz@temp @\endcsname}%
+ \edef\tikz@tempb{\expandafter\expandafter\expandafter\pgfutil@secondoftwo\csname qrr@pgf@iap@\tikz@temp @\endcsname}%
+ \pgfkeysalso{/tikz/path picture={%
+ \pgf@process{\pgfpointanchor{path picture bounding box}{north east}}%
+ \pgf@xa\pgf@x\pgf@ya\pgf@y
+ \pgf@process{\pgfpointanchor{path picture bounding box}{south west}}%
+ \pgf@xb\pgf@x\pgf@yb\pgf@y\pgf@yc\pgf@yb
+ \pgfutil@loop
+ {%
+ \pgfutil@loop
+ \expandafter\pgftext\expandafter[/tikz/image as pattern/option,at=\pgfqpoint{\pgf@xb}{\pgf@yb}]{\pgfuseimage{qrr@pgf@iap@\tikz@temp}}%
+ \ifdim\pgf@yb<\pgf@ya
+ \advance\pgf@yb\tikz@tempb
+ \pgfutil@repeat
+ }%
+ \ifdim\pgf@xb<\pgf@xa
+ \advance\pgf@xb\tikz@tempa
+ \pgf@yb\pgf@yc
+ \pgfutil@repeat
+ }}%
+ }
+ }
+}
+\endinput
diff --git a/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.positioning-plus.code.tex b/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.positioning-plus.code.tex
new file mode 100644
index 00000000000..a29d4ace649
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.positioning-plus.code.tex
@@ -0,0 +1,262 @@
+% This is the TikZ library positioning-plus
+% Load with \usetikzlibrary{positioning-plus}
+%
+% This small library extends TikZ options like 'above', 'left' or 'below right'
+% so that they can be used with an optional prefixed factor seperated by ':' (colon)
+%
+% The option 'left=.5:of somenode' will place
+% a new node .5cm (default 'node distance' is '1cm and 1cm') left to (somenode).
+% The option 'above right=.2 and .7:of someothernode' will place
+% a new node .2cm above and .7cm right of (someothernode).
+%
+% Additional the options 'xshift*' and 'yshift*' add an additional shift
+% as a factor of 'node distance'
+% Inspired by http://tex.stackexchange.com/a/117610/16595
+
+\usetikzlibrary{positioning}
+\usetikzlibrary{fit}
+
+\pgfdeclaregenericanchor{corner south east}{%
+ \pgf@sh@reanchor{#1}{south}%
+ \pgf@ya\pgf@y
+ \pgf@process{\pgf@sh@reanchor{#1}{east}}%
+ \pgf@y\pgf@ya
+}
+\pgfdeclaregenericanchor{corner north east}{%
+ \pgf@sh@reanchor{#1}{north}%
+ \pgf@ya\pgf@y
+ \pgf@process{\pgf@sh@reanchor{#1}{east}}%
+ \pgf@y\pgf@ya
+}
+\pgfdeclaregenericanchor{corner south west}{%
+ \pgf@sh@reanchor{#1}{south}%
+ \pgf@ya\pgf@y
+ \pgf@process{\pgf@sh@reanchor{#1}{west}}%
+ \pgf@y\pgf@ya
+}
+\pgfdeclaregenericanchor{corner north west}{%
+ \pgf@sh@reanchor{#1}{north}%
+ \pgf@ya\pgf@y
+ \pgf@process{\pgf@sh@reanchor{#1}{west}}%
+ \pgf@y\pgf@ya
+}
+
+\tikzset{corner above left/.code=\tikz@lib@place@handle@{#1}{corner south east}{-1}{1}{corner north west}{0.707106781}}
+\tikzset{corner above right/.code=\tikz@lib@place@handle@{#1}{corner south west}{1}{1}{corner north east}{0.707106781}}
+\tikzset{corner below left/.code=\tikz@lib@place@handle@{#1}{corner north east}{-1}{-1}{corner south west}{0.707106781}}
+\tikzset{corner below right/.code=\tikz@lib@place@handle@{#1}{corner north west}{1}{-1}{corner south east}{0.707106781}}
+
+\tikzset{corner north left/.code =\tikz@lib@place@handle@{#1}{corner north east}{-1}{0}{corner north west}{1}}
+\tikzset{corner north right/.code=\tikz@lib@place@handle@{#1}{corner north west}{1}{0}{corner north east}{1}}
+\tikzset{corner south left/.code =\tikz@lib@place@handle@{#1}{corner south east}{-1}{0}{corner south west}{1}}
+\tikzset{corner south right/.code=\tikz@lib@place@handle@{#1}{corner south west}{1}{0}{corner south east}{1}}
+
+\tikzset{corner west above/.code =\tikz@lib@place@handle@{#1}{corner south west}{0}{1}{corner north west}{1}}
+\tikzset{corner west below/.code=\tikz@lib@place@handle@{#1}{corner north west}{0}{-1}{corner south west}{1}}
+\tikzset{corner east above/.code =\tikz@lib@place@handle@{#1}{corner south east}{0}{1}{corner north east}{1}}
+\tikzset{corner east below/.code=\tikz@lib@place@handle@{#1}{corner north east}{0}{-1}{corner south east}{1}}
+
+\tikzset{north left/.code =\tikz@lib@place@handle@{#1}{north east}{-1}{0}{north west}{1}}
+\tikzset{north right/.code=\tikz@lib@place@handle@{#1}{north west}{1}{0}{north east}{1}}
+\tikzset{south left/.code =\tikz@lib@place@handle@{#1}{south east}{-1}{0}{south west}{1}}
+\tikzset{south right/.code=\tikz@lib@place@handle@{#1}{south west}{1}{0}{south east}{1}}
+
+\tikzset{west above/.code =\tikz@lib@place@handle@{#1}{south west}{0}{1}{north west}{1}}
+\tikzset{west below/.code=\tikz@lib@place@handle@{#1}{north west}{0}{-1}{south west}{1}}
+\tikzset{east above/.code =\tikz@lib@place@handle@{#1}{south east}{0}{1}{north east}{1}}
+\tikzset{east below/.code=\tikz@lib@place@handle@{#1}{north east}{0}{-1}{south east}{1}}
+
+\newif\ifqrr@tikz@lib@place@postransform
+\tikzset{node distance transformation/.is if=qrr@tikz@lib@place@postransform}
+\def\tikz@lib@place@handle@@#1#2#3#4{%
+ \pgfutil@in@{of }{#1}%
+ \ifpgfutil@in@
+ \tikz@lib@place@of#1\tikz@stop{#4}%
+ \else
+ \edef\tikz@lib@place@nums{#1}%
+ \fi
+ \ifx\tikz@lib@place@nums\pgfutil@empty
+ % Ok, nothing to do, we have set the anchor and we are happy...
+ \else
+ \expandafter\tikz@lib@place@parse@nums\expandafter{\tikz@lib@place@nums}%
+ \pgf@x=#2\pgf@x
+ \pgf@y=#3\pgf@y
+ \ifqrr@tikz@lib@place@postransform
+ \pgf@pos@transform{\pgf@x}{\pgf@y}% change from original
+ \fi
+ \edef\tikz@lib@pos@call{\noexpand\pgftransformshift{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}}%
+ \fi
+}
+
+\def\tikz@lib@place@handle@#1#2#3#4#5#6{%
+ \pgfutil@in@{:}{#1}%
+ \ifpgfutil@in@
+ \tikz@lib@place@handle@qrr@#1\tikz@stop
+ \ifx\pgf@temp\pgfutil@empty
+ \let\pgf@temp\tikz@node@distance
+ \fi
+ \pgfmathsetmacro\pgf@tempa{(\pgf@tempa)*#4}%
+ \pgfmathsetmacro\pgf@tempb{(\pgf@tempb)*#3}%
+ \edef\pgf@marshal{\noexpand\tikz@lib@place@handle@{\pgf@temp}{#2}{\pgf@tempb}{\pgf@tempa}{#5}{#6}}%
+ \pgf@marshal
+ \else
+ \def\tikz@anchor{#2}%
+ \let\tikz@do@auto@anchor=\relax
+ \edef\tikz@temp{#1}%
+ \def\tikz@lib@place@single@factor{#6}%
+ \expandafter\tikz@lib@place@handle@@\expandafter{\tikz@temp}{#3}{#4}{#5}%
+ \fi
+}
+\def\tikz@lib@place@handle@qrr@#1:#2\tikz@stop{%
+ \pgfutil@in@{and}{#1}%
+ \ifpgfutil@in@
+ \tikz@lib@place@handle@qrr@@#1\tikz@stop
+ \else
+ \tikz@lib@place@handle@qrr@@#1and#1\tikz@stop
+ \fi
+ \def\pgf@temp{#2}%
+}
+\def\tikz@lib@place@handle@qrr@@#1and#2\tikz@stop{%
+ \def\pgf@tempa{#1}%
+ \def\pgf@tempb{#2}%
+}
+\def\qrr@xyshift@starred#1#2#3{%
+ \edef\tikz@marshal{\noexpand\pgfutil@in@{and}{\tikz@node@distance}}%
+ \tikz@marshal
+ \ifpgfutil@in@
+ \expandafter\tikz@lib@place@handle@qrr@@\tikz@node@distance\tikz@stop
+ \else
+ \let#3\tikz@node@distance
+ \fi
+ \pgfmathparse{(#1)*#3}%
+ \ifpgfmathunitsdeclared
+ \if#2x%
+ \pgftransformshift{\pgfqpoint{\pgfmathresult pt}{0pt}}%
+ \else
+ \pgftransformshift{\pgfqpoint{0pt}{\pgfmathresult pt}}%
+ \fi
+ \else
+ \ifx#2x%
+ \pgf@process{\pgfqpointxy{\pgfmathresult}{0}}%
+ \else
+ \pgf@process{\pgfqpointxy{0}{\pgfmathresult}}%
+ \fi
+ \pgftransformshift{\pgfqpoint{\pgf@x}{\pgf@y}}%
+ \fi}
+\tikzset{
+ xshift*/.code=\qrr@xyshift@starred{#1}x\pgf@tempb,
+ yshift*/.code=\qrr@xyshift@starred{#1}y\pgf@tempa
+}
+
+\def\pgfutil@firstofmany#1#2\pgf@stop{#1}
+\def\pgfutil@secondofmany#1#2\pgf@stop{#2}
+\def\tikz@lib@place@of@#1#2#3{%
+ \def\pgf@tempa{fit bounding box}%
+ \edef\pgf@temp{\expandafter\pgfutil@firstofmany#2\pgf@stop}
+ \if\pgf@temp(%
+ \tikz@lib@place@fit@scan{#2}{0}%
+ \else\if\pgf@temp|%
+ \expandafter\tikz@lib@place@fit@scan\expandafter{\pgfutil@secondofmany#2\pgf@stop}{1}%
+ \else\ifx\pgf@temp\tikz@activebar
+ \expandafter\tikz@lib@place@fit@scan\expandafter{\pgfutil@secondofmany#2\pgf@stop}{1}%
+ \else\if\pgf@temp-%
+ \expandafter\tikz@lib@place@fit@scan\expandafter{\pgfutil@secondofmany#2\pgf@stop}{2}%
+ \else\if\pgf@temp+%
+ \expandafter\tikz@lib@place@fit@scan\expandafter{\pgfutil@secondofmany#2\pgf@stop}{3}%
+ \else
+ \def\pgf@tempa{#2}%
+ \fi
+ \fi
+ \fi
+ \fi
+ \fi
+ \expandafter\tikz@scan@one@point\expandafter\tikz@lib@place@remember\expandafter(\pgf@tempa)%
+ \iftikz@shapeborder%
+ % Ok, this is relative to a border.
+ \iftikz@lib@ignore@size%
+ \edef\tikz@node@at{\noexpand\pgfpointanchor{\tikz@shapeborder@name}{center}}%
+ \def\tikz@anchor{center}%
+ \else%
+ \edef\tikz@node@at{\noexpand\pgfpointanchor{\tikz@shapeborder@name}{#3}}%
+ \fi%
+ \fi%
+ \edef\tikz@lib@place@nums{#1}%
+}
+\def\tikz@lib@place@fit@scan#1#2{%
+ \pgf@xb=-16000pt\relax%
+ \pgf@xa=16000pt\relax%
+ \pgf@yb=-16000pt\relax%
+ \pgf@ya=16000pt\relax%
+ \if\pgfutil@firstofmany#1\pgf@stop(%
+ \tikz@lib@fit@scan#1\pgf@stop%
+ \else
+ \tikz@lib@fit@scan(#1)\pgf@stop
+ \fi
+ \ifdim\pgf@xa>\pgf@xa
+ % shouldn't happen
+ \else
+ \expandafter\def\csname pgf@sh@ns@fit bounding box\endcsname{rectangle}%
+ \expandafter\edef\csname pgf@sh@np@fit bounding box\endcsname{%
+ \def\noexpand\southwest{\noexpand\pgfqpoint{\the\pgf@xa}{\the\pgf@ya}}%
+ \def\noexpand\northeast{\noexpand\pgfqpoint{\the\pgf@xb}{\the\pgf@yb}}%
+ }%
+ \expandafter\def\csname pgf@sh@nt@fit bounding box\endcsname{{1}{0}{0}{1}{0pt}{0pt}}%
+ \expandafter\def\csname pgf@sh@pi@fit bounding box\expandafter\endcsname\expandafter{\pgfpictureid}%
+ \ifcase#2\relax
+ \or % 1 = vertical
+ \pgf@y=\pgf@yb%
+ \advance\pgf@y by-\pgf@ya%
+ \edef\pgf@marshal{\noexpand\pgfset{minimum height={\the\pgf@y-2*(\noexpand\pgfkeysvalueof{/pgf/outer ysep})}}}%
+ \pgf@marshal
+ \or % 2 = horizontal
+ \pgf@x=\pgf@xb%
+ \advance\pgf@x by-\pgf@xa%
+ \edef\pgf@marshal{\noexpand\pgfset{minimum width={\the\pgf@x-2*(\noexpand\pgfkeysvalueof{/pgf/outer xsep})}}}%
+ \pgf@marshal
+ \or % 3 = both directions
+ \pgf@y=\pgf@yb%
+ \advance\pgf@y by-\pgf@ya%
+ \pgf@x=\pgf@xb%
+ \advance\pgf@x by-\pgf@xa%
+ \edef\pgf@marshal{\noexpand\pgfset{minimum height={\the\pgf@y-2*(\noexpand\pgfkeysvalueof{/pgf/outer ysep})},minimum width={\the\pgf@x-2*(\noexpand\pgfkeysvalueof{/pgf/outer xsep})}}}%
+ \pgf@marshal
+ \fi
+ \fi
+}
+\tikzset{
+ fit bounding box/.code={\tikz@lib@place@fit@scan{#1}{0}},
+ span vertical/.code={\tikz@lib@place@fit@scan{#1}{1}},
+ span horizontal/.code={\tikz@lib@place@fit@scan{#1}{2}},
+ span/.code={\tikz@lib@place@fit@scan{#1}{3}}}
+
+\pgfmathdeclarefunction{x_node_dist}{0}{%
+ \begingroup
+ \edef\pgfmath@temp{\noexpand\pgfutil@in@{and}{\tikz@node@distance}}%
+ \pgfmath@temp\ifpgfutil@in@
+ \expandafter\tikz@lib@place@handle@qrr@@\tikz@node@distance\tikz@stop
+ \else
+ \let\pgf@tempb\tikz@node@distance
+ \fi
+ \pgfmathparse{\pgf@tempb}%
+ \pgfmath@smuggleone\pgfmathresult
+ \endgroup
+}
+\pgfmathdeclarefunction{y_node_dist}{0}{%
+ \begingroup
+ \edef\pgfmath@temp{\noexpand\pgfutil@in@{and}{\tikz@node@distance}}%
+ \pgfmath@temp\ifpgfutil@in@
+ \expandafter\tikz@lib@place@handle@qrr@@\tikz@node@distance\tikz@stop
+ \else
+ \let\pgf@tempa\tikz@node@distance
+ \fi
+ \pgfmathparse{\pgf@tempa}%
+ \pgfmath@smuggleone\pgfmathresult
+ \endgroup
+}
+%\tikzdeclarecoordinatesystem{node distance}{%
+% \tikz@cs@nd#1\tikz@stop}
+%\def\tikz@cs@nd#1,#2\tikz@stop{%
+% \def\qrr@xyshift@starred@action##1{\pgftransformshift{##1}}%
+% \qrr@xyshift@starred{#1}x\pgf@tempb
+% \qrr@xyshift@starred{#2}y\pgf@tempa}
+\endinput
diff --git a/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.topaths.arcthrough.code.tex b/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.topaths.arcthrough.code.tex
new file mode 100644
index 00000000000..d90a2edc787
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.topaths.arcthrough.code.tex
@@ -0,0 +1,50 @@
+% Copyright 2022 by Qrrbrbirlbel
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+
+\pgfqkeys{/tikz/arc through}{
+ .unknown/.code=\pgfkeyssetevalue{/tikz/arc through/through}{\pgfkeyscurrentname},
+ through/.initial={(0,0)},
+ center suffix/.initial=,
+ clockwise/.code=%
+ \def\tikz@arcthrough@clockwise{%
+ \pgfmathsubtract@{\pgfkeysvalueof{/tikz/end angle}}{360}%
+ \pgfkeyssetevalue{/tikz/end angle}{+\pgfmathresult}},
+ counter clockwise/.code=\let\tikz@arcthrough@clockwise\relax,
+ clockwise/.value forbidden, counter clockwise/.value forbidden, counter clockwise}
+\tikzset{
+ arc through/.code={%
+ \tikzset{every arc through/.try}%
+ \pgfqkeys{/tikz/arc through}{#1}%
+ \pgfkeysgetvalue{/tikz/arc through/through}\tikz@temp
+ \pgfextract@process\pgf@tostart{\tikz@scan@one@point\pgfutil@firstofone(\tikztostart)\relax}%
+ \expandafter\pgfextract@process\expandafter\pgf@tothrough\expandafter
+ {\expandafter\tikz@scan@one@point\expandafter\pgfutil@firstofone\tikz@temp\relax}%
+ \pgfextract@process\pgf@totarget{\tikz@scan@one@point\pgfutil@firstofone(\tikztotarget)\relax}%
+ \pgfextract@process\pgf@topointMidA{\pgfpointlineattime{.5}{\pgf@tostart}{\pgf@tothrough}}%
+ \pgfextract@process\pgf@topointMidB{\pgfpointlineattime{.5}{\pgf@totarget}{\pgf@tothrough}}%
+ \pgfextract@process\pgf@tocenter{%
+ \pgfpointintersectionoflines
+ {\pgf@topointMidA}{\pgfmathrotatepointaround{\pgf@tothrough}{\pgf@topointMidA}{90}}%
+ {\pgf@topointMidB}{\pgfmathrotatepointaround{\pgf@tothrough}{\pgf@topointMidB}{90}}}%
+ \pgfcoordinate{arc through center\pgfkeysvalueof{/tikz/arc through/center suffix}}{\pgf@tocenter}%
+ \pgfpointdiff{\pgf@tocenter}{\pgf@tostart}%
+ \pgfmathveclen@{\pgfmath@tonumber\pgf@x}{\pgfmath@tonumber\pgf@y}%
+ \pgfkeyssetevalue{/tikz/x radius}{+\pgfmathresult pt}%
+ \pgfkeyssetevalue{/tikz/y radius}{+\pgfmathresult pt}%
+ \pgfmathanglebetweenpoints{\pgf@tocenter}{\pgf@totarget}%
+ \pgfkeyssetevalue{/tikz/end angle}{+\pgfmathresult}%
+ \pgfmathanglebetweenpoints{\pgf@tocenter}{\pgf@tostart}%
+ \ifdim\pgfmathresult pt>\pgfkeysvalueof{/tikz/end angle}pt\relax
+ \pgfmathsubtract@{\pgfmathresult}{360}%
+ \fi
+ \pgfkeyssetevalue{/tikz/start angle}{+\pgfmathresult}%
+ \tikz@arcthrough@clockwise
+ \pgfkeyslet{/tikz/delta angle}\pgfutil@empty
+ \def\tikz@to@path{arc[]\tikztonodes}%
+ }%
+}
diff --git a/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.transformations.mirror.code.tex b/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.transformations.mirror.code.tex
new file mode 100644
index 00000000000..c235cd179cf
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tikz-ext/tikzlibraryext.transformations.mirror.code.tex
@@ -0,0 +1,70 @@
+% Copyright 2022 by Qrrbrbirlbel
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+\usepgflibrary{ext.transformations.mirror}
+\tikzset{
+ mirror/.code={%
+ \pgfutil@in@{--}{#1}%
+ \ifpgfutil@in@
+ \tikz@trans@mirror#1\@nil
+ \else
+ \tikz@scan@one@point\pgfqtransformmirror#1\relax
+ \fi},
+ ymirror/.code={\pgfutil@ifnextchar(\tikz@trans@ymirror@coordinate\tikz@trans@ymirror@simple#1\@nil},
+ xmirror/.code={\pgfutil@ifnextchar(\tikz@trans@xmirror@coordinate\tikz@trans@xmirror@simple#1\@nil},
+ mirror x/.code={%
+ \pgfextract@process\tikz@temp{\tikz@scan@one@point\pgfutil@firstofone#1\relax}%
+ \pgftransformmirror{\tikz@temp}{\pgfpointadd{\tikz@temp}{\pgfqpointxy{0}{1}}}},
+ mirror y/.code={%
+ \pgfextract@process\tikz@temp{\tikz@scan@one@point\pgfutil@firstofone#1\relax}%
+ \pgftransformmirror{\tikz@temp}{\pgfpointadd{\tikz@temp}{\pgfqpointxy{1}{0}}}},
+ mirror/.value required,
+ ymirror/.value required,
+ xmirror/.value required,
+ mirror x/.value required,
+ mirror y/.value required}
+\def\tikz@trans@mirror#1--#2\@nil{%
+ \pgftransformmirror{\tikz@scan@one@point\pgfutil@firstofone#1\relax}
+ {\tikz@scan@one@point\pgfutil@firstofone#2\relax}}
+\def\tikz@trans@xmirror@simple#1\@nil{\pgftransformxmirror{#1}}
+\def\tikz@trans@ymirror@simple#1\@nil{\pgftransformymirror{#1}}
+\def\tikz@trans@xmirror@coordinate#1\@nil{%
+ \tikz@scan@one@point\pgfutil@firstofone#1\pgftransformxmirror{+\the\pgf@x}}
+\def\tikz@trans@ymirror@coordinate#1\@nil{%
+ \tikz@scan@one@point\pgfutil@firstofone#1\pgftransformymirror{+\the\pgf@y}}
+
+\tikzset{
+ Mirror/.code={%
+ \pgfutil@in@{--}{#1}%
+ \ifpgfutil@in@
+ \tikz@trans@Mirror#1\@nil
+ \else
+ \tikz@scan@one@point\pgfqtransformMirror#1\relax
+ \fi},
+ yMirror/.code={\pgfutil@ifnextchar(\tikz@trans@yMirror@coordinate\tikz@trans@yMirror@simple#1\@nil},
+ xMirror/.code={\pgfutil@ifnextchar(\tikz@trans@xMirror@coordinate\tikz@trans@xMirror@simple#1\@nil},
+ Mirror x/.code={%
+ \pgfextract@process\tikz@temp{\tikz@scan@one@point\pgfutil@firstofone#1\relax}%
+ \pgftransformMirror{\tikz@temp}{\pgfpointadd{\tikz@temp}{\pgfqpointxy{0}{1}}}},
+ Mirror y/.code={%
+ \pgfextract@process\tikz@temp{\tikz@scan@one@point\pgfutil@firstofone#1\relax}%
+ \pgftransformMirror{\tikz@temp}{\pgfpointadd{\tikz@temp}{\pgfqpointxy{1}{0}}}},
+ Mirror/.value required,
+ yMirror/.value required,
+ xMirror/.value required,
+ Mirror x/.value required,
+ Mirror y/.value required}
+\def\tikz@trans@Mirror#1--#2\@nil{%
+ \pgftransformMirror{\tikz@scan@one@point\pgfutil@firstofone#1\relax}
+ {\tikz@scan@one@point\pgfutil@firstofone#2\relax}}
+\def\tikz@trans@xMirror@simple#1\@nil{\pgftransformxMirror{#1}}
+\def\tikz@trans@yMirror@simple#1\@nil{\pgftransformyMirror{#1}}
+\def\tikz@trans@xMirror@coordinate#1\@nil{%
+ \tikz@scan@one@point\pgfutil@firstofone#1\pgftransformxMirror{+\the\pgf@x}}
+\def\tikz@trans@yMirror@coordinate#1\@nil{%
+ \tikz@scan@one@point\pgfutil@firstofone#1\pgftransformyMirror{+\the\pgf@y}}
+\endinput