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authorKarl Berry <karl@freefriends.org>2022-08-22 20:49:17 +0000
committerKarl Berry <karl@freefriends.org>2022-08-22 20:49:17 +0000
commit9512ee188f093d3f12646f92bac5126168b3410e (patch)
treee906edff0fcba89a9d5ba1f19afbbd470dc346a0 /Master
parenteeb0bb042dd18dab84dab64eb6c07272aaa56eac (diff)
tikz-ext (22aug22)
git-svn-id: svn://tug.org/texlive/trunk@64166 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master')
-rw-r--r--Master/texmf-dist/doc/latex/tikz-ext/README.md29
-rw-r--r--Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-calendar.tex80
-rw-r--r--Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-intro.tex28
-rw-r--r--Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-calendar-plus.tex69
-rw-r--r--Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-misc.tex244
-rw-r--r--Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-node-families.tex102
-rw-r--r--Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-paths.arcto.tex110
-rw-r--r--Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-paths.ortho.tex185
-rw-r--r--Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-paths.timer.tex90
-rw-r--r--Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-patterns.images.tex50
-rw-r--r--Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-positioning-plus.tex183
-rw-r--r--Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-topaths.arcthrough.tex63
-rw-r--r--Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-trans.tex136
-rw-r--r--Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-main-body.tex192
-rw-r--r--Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-main-preamble.tex368
-rw-r--r--Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-pgf-trans.tex175
-rw-r--r--Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual.pdfbin0 -> 356908 bytes
-rw-r--r--Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual.tex33
-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
-rwxr-xr-xMaster/tlpkg/bin/tlpkg-ctan-check2
-rwxr-xr-xMaster/tlpkg/libexec/ctan2tds3
-rw-r--r--Master/tlpkg/tlpsrc/collection-pictures.tlpsrc1
-rw-r--r--Master/tlpkg/tlpsrc/tikz-ext.tlpsrc0
36 files changed, 4647 insertions, 2 deletions
diff --git a/Master/texmf-dist/doc/latex/tikz-ext/README.md b/Master/texmf-dist/doc/latex/tikz-ext/README.md
new file mode 100644
index 00000000000..b0e84a76de9
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tikz-ext/README.md
@@ -0,0 +1,29 @@
+# TikZ-Extensions
+
+## License
+
+This material is subject to the LaTeX Project Public License and the GNU Free Documentation License.
+
+## About the Author
+
+Name: Qrrbrbirlbel
+
+## Introduction
+
+This is not a LaTeX package but a collection of libraries for PGF and TikZ.
+
+These are
+
+ * `ext.calendar-plus`,
+ * `ext.node-familes`,
+ * `ext.transformations.mirror`,
+ * `ext.paths.arcto`,
+ * `ext.paths.ortho`,
+ * `ext.paths.timer`,
+ * `ext.patterns.images`,
+ * `ext.positioning-plus`,
+ * `ext.topaths.arcthrough` and
+ * `ext.misc`.
+
+ These were developed in response to questions on tex.stackexchange.com.
+ Some of these can be find by searching for my [user id](https://tex.stackexchange.com/search?q=user%3A16595+%22my+library%22). \ No newline at end of file
diff --git a/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-calendar.tex b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-calendar.tex
new file mode 100644
index 00000000000..88a3567c1a4
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-calendar.tex
@@ -0,0 +1,80 @@
+% !TeX spellcheck = en_US
+% !TeX root = tikz-ext-manual.tex
+% 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.
+%
+
+\section{Calendar: Weeknumbers and more conditionals}
+\begin{package}{calendar-ext}
+ This package adds week numbers and more conditionals to the PGF package |pgfcalendar|.
+ (Despite the code example above, this package is not set up to work with Con\TeX t.)
+\end{package}
+
+%This package extends the |pgfcalendar| package.
+
+\begin{multicols}{2}
+
+\subsection{Extensions}
+
+The following tests are added.
+\begin{itemize}
+\itemcalendaroption{Jan} This test is passed by all dates that are in the month of January.
+\itemcalendaroption{Feb} as above.
+\itemcalendaroption{Mar} as above.
+\itemcalendaroption{Apr} as above.
+\itemcalendaroption{May} as above.
+\itemcalendaroption{Jun} as above.
+\itemcalendaroption{Jul} as above.
+\itemcalendaroption{Aug} as above.
+\itemcalendaroption{Sep} as above.
+\itemcalendaroption{Oct} as above.
+\itemcalendaroption{Nov} as above.
+\itemcalendaroption{Dec} as above.
+\itemcalendaroption{leap year}\opt{|=|\meta{year}}
+ This test checks whether the given year is a leap year. If
+ \meta{year} is omitted, it checks the year of the current date.
+\itemcalendaroption{and}|=|\marg{tests}
+ This test passes when all \meta{tests} pass.
+\itemcalendaroption{not}|=|\marg{tests}
+ This test passes when \meta{tests} do not pass.
+\itemcalendaroption{yesterday}|=|\marg{tests}
+ This test passes when the previous day passes \meta{tests}.
+\itemcalendaroption{week}|=|\meta{num}
+ This test passes when the current week of the year equals \marg{num}.
+\end{itemize}
+
+The shorthands for |d-| and |m-| are slightly changed so that they are
+expandable. This makes it possible to use these shorthands inside of PGFmath.
+The shorthands for the week (see section~\ref{calendar:weeknumbering})
+are added. These are
+\begin{itemize}
+\item |n-| (shortest numerical representation),
+\item |n=| (shortest but added horizontal space) and
+\item |n0| (leading zero when below 10).
+\end{itemize}
+
+\subsection{Week numbering (ISO~8601)}
+\label{calendar:weeknumbering}
+\begin{command}{\pgfcalendarjulianyeartoweek\marg{Julian day}\marg{year}\marg{week counter}}
+ This command calculates the week for the \meta{Julian day} of \meta{year}.
+ The \meta{week counter} must be a \TeX\space counter.
+
+ The calculation follows the rule of ISO~8601 where the first week has that
+ year's first Thursday in it.
+\end{command}
+
+Inside of |\pgfcalendar|\indexCommandO\pgfcalendar the command |\pgfcalendarcurrentweek| will be available.
+\begin{command}{\pgfcalendarcurrentweek}
+ This command returns the current week number (always two digits -- use shorthand |n.|
+ to strip the leading zero).
+\end{command}
+
+Inside of |\ifdate|\indexCommandO\ifdate the command |\pgfcalendarifdateweek| will be available.
+\begin{command}{\pgfcalendarifdateweek}
+ This command returns the week number (always two digits).
+\end{command}
+\end{multicols} \ No newline at end of file
diff --git a/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-intro.tex b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-intro.tex
new file mode 100644
index 00000000000..ac5811ac6e1
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-intro.tex
@@ -0,0 +1,28 @@
+% !TeX spellcheck = en_US
+% !TeX root = tikz-ext-manual.tex
+% 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.
+%
+\part{Introduction}
+\begin{multicols}{2}
+\section{Usage}
+This package is called |tikz-ext|, however, one can't load it via |\usepackage|.
+Instead, this package consists of multiple PGF and \tikzname\space libraries
+which are loaded by either |\usepgflibrary| or |\usetikzlibrary|.
+
+\section{Why do we need it?}
+Since I have been answering questions on \hyperlink{https://tex.stackexchange.com}{TeX.sx}
+I've noticed that some questions come up again and again,
+every time with a slightly different approach on how to solve them.
+
+I don't like reinventing the wheel which is why I've gathered the code of my answers in this package.
+
+And, yes, I am using them myself, too.
+
+\section{Should these libraries be part of \tikzname?}
+I guess.
+\end{multicols} \ No newline at end of file
diff --git a/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-calendar-plus.tex b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-calendar-plus.tex
new file mode 100644
index 00000000000..14c78e9be0f
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-calendar-plus.tex
@@ -0,0 +1,69 @@
+% !TeX spellcheck = en_US
+% !TeX root = tikz-ext-manual.tex
+% 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.
+%
+
+\section{Calendar}
+\begin{tikzlibrary}{ext.calendar-plus}
+ This library extends the \tikzname\space library |calendar|\indexLibraryO{calendar}.
+\end{tikzlibrary}
+
+\begin{multicols}{2}
+
+\subsection{Value-keys and nestable \texttt{if} key}
+
+The values of following keys are originally stored in some macros that are not
+accessible by the user. These are now simple value-keys.
+The |@|-protected macros are still available, of course.
+
+\begin{key}{/tikz/day xshift (initially 3ex)}
+\end{key}
+\begin{key}{/tikz/day yshift (initially 3.5ex)}
+\end{key}
+\begin{key}{/tikz/month xshift (initially 9ex)}
+\end{key}
+\begin{key}{/tikz/month yshift (initially 9ex)}
+\end{key}
+
+It is now also possible to nest |/tikz/if| occurrences.
+\begin{key}{/tikz/if=|(|\meta{conditions}|)|\meta{code or options}\opt{|else|\meta{else code or options}}}
+\end{key}
+
+\subsection{Week numbering (ISO~8601)}
+
+The actual week number algorithm is implemented by the |pgfcalendar-ext| package/module in section~\ref{calendar:weeknumbering}.
+\begin{key}{/tikz/week code=\meta{code}}
+ Works like |/tikz/day code| or |/tikz/month code|, only for weeks.\indexKeyO{day code}\indexKeyO{month code}
+\end{key}
+
+\begin{key}{/tikz/week text=\meta{text}}
+ Works like |/tikz/day text| or |/tikz/month text|, only for weeks.\indexKeyO{day text}\indexKeyO{month text}
+\end{key}
+
+\begin{stylekey}{/tikz/every week}
+ Works like |/tikz/every day| or |/tikz/every month|, only for weeks.\indexKeyO{every day}\indexKeyO{every month}
+\end{stylekey}
+
+\begin{stylekey}{/tikz/week label left}
+ Places the week label to the left of the first day of the month. (For
+ |week list| and |month list| where a week does not start on a Monday, the
+ position is chosen ``as if'' the week had started on a Monday -- which is
+ usually exactly what you want.)
+ %
+\begin{codeexample}[preamble={\usetikzlibrary{ext.calendar-plus}}]
+\tikz
+ \calendar [week list, month label above centered,
+ dates=2022-07-01 to 2022-07-31,
+ week label left,
+ every week/.append style={gray!50!black,font=\sffamily}];
+\end{codeexample}
+ %
+\end{stylekey}
+
+\end{multicols}
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-misc.tex b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-misc.tex
new file mode 100644
index 00000000000..79cc9c21c3e
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-misc.tex
@@ -0,0 +1,244 @@
+% !TeX spellcheck = en_US
+% !TeX root = tikz-ext-manual.tex
+% 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.
+%
+
+\section{And a little bit more}
+\begin{tikzlibrary}{ext.misc}
+ This library adds miscellaneous utilities to PGFmath, PGF or \tikzname.
+\end{tikzlibrary}
+
+\subsection{PGFmath}
+
+\begin{multicols}{2}
+\pgfkeys{/codeexample/every codeexample/.append style={width=3cm}}
+\subsubsection{Postfix operator \texttt{R}}
+
+Similar to |\segments[<num>]| in PSTricks, the postfix operator |R| allows the user
+to use an arbitrary number of segments of a circle to be used instead of an angle.
+
+\begin{key}{/tikz/full arc=\meta{num} (default |{}|)}
+ The number \meta{num} of segments will be set up.
+ Using |full arc| with an empty value disables the segmentation and |1R| equals $1^\circ$.
+
+ The given value \meta{num} is evaluated when the key is used and doesn't change when
+ \meta{num} contains variables that change.
+\end{key}
+The |R| operator can then be used.
+\begin{math-operator}{R}{postfix}{fullarc}
+ Multiplies \mvar{x} with $\frac{360}{\meta{num}}$.
+\end{math-operator}
+
+\subsubsection{Functions}
+
+\begin{math-function}{strrepeat("\mvar{Text}", \mvar{x})}
+\mathcommand
+ Returns a string with \mvar{Text} repeated \mvar{x} times.
+
+\begin{codeexample}[]
+\pgfmathparse{strrepeat("foo", 5)}
+\pgfmathresult
+\end{codeexample}
+\end{math-function}
+
+\begin{math-function}{isInString("\mvar{String}", "\mvar{Text}")}
+\mathcommand
+ Returns |1| (true) if \mvar{Text} contains \mvar{String},
+ otherwise |0| (false).
+
+\begin{codeexample}[]
+\pgfmathparse{isInString("foo", "bar")}
+\pgfmathresult \ and\
+\pgfmathparse{isInString("foo", "foobar")}
+\pgfmathresult
+\end{codeexample}
+\end{math-function}
+
+\begin{math-function}{strcat("\mvar{Text A}", "\mvar{Text B}", …)}
+\mathcommand
+ Returns the concatenation of all given parameters.
+
+\begin{codeexample}[]
+\pgfmathparse{strcat("blue!", int(7*3), "!green")}
+\pgfmathresult
+\end{codeexample}
+\end{math-function}
+
+
+\begin{math-function}{isEmpty("\mvar{Text}")}
+\mathcommand
+ Returns |1| (true) if \mvar{Text} is empty, otherwise |0| (false).
+ %
+\begin{codeexample}[]
+\pgfmathparse{isEmpty("foo")} \pgfmathresult\ and\
+\pgfmathparse{isEmpty("")} \pgfmathresult\ and\
+\def\emptyText{}
+\pgfmathparse{isEmpty("\emptyText")} \pgfmathresult
+\end{codeexample}
+\end{math-function}
+
+\begin{math-function}{atanXY(\mvar{x},\mvar{y})}
+\mathcommand
+ Arctangent of $\mvar y\div \mvar x$ in degrees. This also takes into account the quadrant.
+ This is just a argument-swapped version of |atan2|\indexMathFunctionO{atan2} which makes it easier to use
+ the |\p| commands of the |calc|\indexLibraryO{calc} library.
+ %
+\begin{codeexample}[]
+\pgfmathparse{atanXY(3,4)} \pgfmathresult
+\end{codeexample}
+\end{math-function}
+\begin{math-function}{atanYX(\mvar{y},\mvar{x})}
+\mathcommand
+ Arctangent of $y\div x$ in degrees. This also takes into account the quadrant.
+\begin{codeexample}[]
+\pgfmathparse{atanYX(4,3)} \pgfmathresult
+\end{codeexample}
+\end{math-function}
+
+\subsubsection{Functions: using coordinates}
+The following functions can only be used with PGF and/or \tikzname.
+Since the arguments are usually plain text (and not numbers) one has to wrap
+them in |"|.
+\begin{math-function}{anglebetween("\mvar{p1}", "\mvar{p2}")}\mathcommand
+ Return the angle between the centers of the nodes \mvar{p1} and \mvar{p2}.
+\end{math-function}
+\begin{math-function}{qanglebetween("\mvar{p}")}\mathcommand
+ Return the angle between the origin and the center of the node \mvar{p}.
+\end{math-function}
+\begin{math-function}{distancebetween("\mvar{p1}", "\mvar{p2}")}\mathcommand
+ Return the distance (in pt) between the centers of the nodes \mvar{p1} and \mvar{p2}.
+\end{math-function}
+\begin{math-function}{qdistancebetween("\mvar{p}")}\mathcommand
+ Return the distance (in pt) between the origin and the center of the node \mvar{p}.
+\end{math-function}
+
+\end{multicols}
+
+\begin{codeexample}[width=6cm,preamble=\usetikzlibrary{calc,ext.misc,through}]
+\begin{tikzpicture}
+\path (0,0) coordinate (A) + (0:4) coordinate (B) +(75:4) coordinate (C);
+\draw (A) -- (B) -- (C) -- cycle;
+\foreach \cnt in {1,...,4}{
+ \pgfmathsetmacro\triA{distancebetween("B","C")}
+ \pgfmathsetmacro\triB{distancebetween("C","A")}
+ \pgfmathsetmacro\triC{distancebetween("A","B")}
+ \path (barycentric cs:A=\triA,B=\triB,C=\triC) coordinate (M)
+ node [draw, circle through=($(A)!(M)!(C)$)] (M) {};
+ \draw ($(C)-(A)$) coordinate (vecB)
+ (M.75-90) coordinate (@)
+ (intersection of @--[shift=(vecB)]@ and B--C) coordinate (C) --
+ (intersection of @--[shift=(vecB)]@ and B--A) coordinate (A);}
+\end{tikzpicture}
+\end{codeexample}
+\subsection{PGFkeys}
+
+\begin{multicols}{2}
+
+\subsubsection{Conditionals}
+
+\begin{key}{/utils/if=\meta{cond}\meta{true}\opt{\meta{false}}}
+ This key checks the conditional \meta{cond} and applies the styles \meta{true}
+ if \meta{cond} is true, otherwise \meta{false}.
+ \meta{cond} can be anything that PGFmath understands.
+
+ As a side effect on how PGFkeys parses argument, the \meta{false} argument is
+ actually optional.
+\end{key}
+
+The following keys use \TeX' macros |\if|, |\ifx|, |\ifnum| and |\ifdim| for faster
+executions.
+
+\begin{key}{/utils/TeX/if=\meta{token A}\meta{token B}\meta{true}\opt{\meta{false}}}
+ This key checks via |\if| if \meta{token A} matches \meta{token B}
+ and applies the styles \meta{true} if it does, otherwise \meta{false}.
+
+ As a side effect on how PGFkeys parses argument, the \meta{false} argument is
+ actually optional.
+\end{key}
+
+\begin{key}{/utils/TeX/ifx=\meta{token A}\meta{token B}\meta{true}\opt{\meta{false}}}
+ As above.
+\end{key}
+
+\begin{key}{/utils/TeX/ifnum=\meta{num cond}\meta{true}\\opt{\meta{false}}}
+ This key checks |\ifnum|\meta{num cond}
+ and applies the styles \meta{true} if true, otherwise \meta{false}.
+ A delimiting |\relax| will be inserted after \meta{num cond}.
+
+ As a side effect on how PGFkeys parses argument, the \meta{false} argument is
+ actually optional.
+\end{key}
+
+\begin{key}{/utils/TeX/ifdim=\meta{dim cond}\meta{true}\opt{\meta{false}}}
+ As above.
+\end{key}
+
+\begin{key}{/utils/TeX/ifempty=\meta{Text}\meta{true}\opt{\meta{false}}}
+ This checks whether \meta{Text} is empty and applies styles \meta{true} if true,
+ otherwise \meta{false}.
+\end{key}
+
+
+\subsubsection{Handlers}
+
+While already a lot of values given to keys are evaluated by PGFmath at some point,
+not all of them are.
+
+\begin{handler}{{.pgfmath}|=|\meta{eval}}
+ This handler evaluates \meta{eval} before it is handed to the key.
+\end{handler}
+
+\begin{handler}{{.pgfmath int}|=|\meta{eval}}
+ As above but truncates the result.
+\end{handler}
+
+\begin{handler}{{.pgfmath strcat}|=|\meta{eval}}
+ As above but uses the |strcat| function.
+
+ In the example below, one could have used the |/pgf/foreach/evaluate| key from |\foreach|.
+\begin{codeexample}[width=3.7cm,preamble=\usetikzlibrary{misc}]
+\tikz\foreach \i in {0,10,...,100}
+\draw[
+ line width=+.2cm,
+ color/.pgfmath strcat={"red!",sqrt(\i)*10,"!blue"}
+]
+ (0,\i/50) -- +(right:3);
+\end{codeexample}
+\end{handler}
+
+\begin{handler}{{.List}|=|\meta{\meta{e1}, \meta{e2}, \dots, \meta{en}}}
+ This handler evaluates the given list with |\foreach| and concatenates the element and
+ the result is then given to the used key.
+\end{handler}
+\end{multicols}
+\begin{codeexample}[width=6cm,preamble=\usetikzlibrary{fit,ext.misc}]
+\begin{tikzpicture}[nodes={draw, dashed, inner sep=+10pt}]
+ \foreach \point [count=\cnt] in {(0,0), (0,2), (2,0), (2,2), (3,3), (-1,-1)}
+ \fill \point circle[radius=.1] coordinate (point-\cnt);
+ \node[gray, fit/.List={(point-1),(point-...),(point-4)}] {};
+ \node[red, fit/.List={(point-1),(point-...),(point-5)}] {};
+ \node[blue, fit/.List={(point-1),(point-...),(point-6)}] {};
+\end{tikzpicture}
+\end{codeexample}
+
+\subsection{PGFfor}
+
+Instead of |\foreach \var in {start, start + delta, ..., end}| one can use
+|\foreach \var[use int=start to end step delta]|.
+
+\begin{key}{/pgf/foreach/use int=\meta{start}|to|\meta{end}\opt{|step|\meta{delta}}}
+The values \meta{start}, \meta{end} and \meta{delta} are evaluates by PGFmath at initialization.
+The part |step |\meta{delta} is optional (\meta{delta} = 1).
+\end{key}
+
+\begin{key}{/pgf/foreach/use float=\meta{start}|to|\meta{end}\opt{|step|\meta{delta}}}
+Same as above, however the results are not truncated.
+\end{key}
+
+%TODO: edges to and edges through
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-node-families.tex b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-node-families.tex
new file mode 100644
index 00000000000..04ebb7c7a0c
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-node-families.tex
@@ -0,0 +1,102 @@
+% !TeX spellcheck = en_US
+% !TeX root = tikz-ext-manual.tex
+% 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.
+%
+\section{Node Families}
+\begin{tikzlibrary}{ext.node-families}
+ With this library the user can instruct multiple nodes to have the same
+ width, height, text width, text height or text width.
+ This uses the hook \referenceKeyandIndexO{execute at end picture} to write the nodes'
+ measurements to the \filetype{aux} file.
+
+ Unfortunately, this does not work with the |external| library.\indexLibraryO{external}%
+ \footnote{Not only would the \texttt{external} library not notice the change of the value between compilations runs,
+ it also changes the way \texttt{\textbackslash pgfutil@writeout} works which suddenly writes to the \textsc{log} file instead.}
+\end{tikzlibrary}
+
+This library introduces two new shapes called |Circle| and |Rectangle|
+that are basically copies of the original shapes |circle|\indexShapeO{circle} and |rectangle|\indexShapeO{rectangle}.
+However, their dimension will be set to the same maximum |minimum width| and |minimum height|
+when one of the following \meta{name}s are declared.
+\begin{key}{/tikz/node family/width=\meta{name} (initially |\{\}|)}
+Nodes with the same \meta{name} will have the same \referenceKeyandIndexO[/pgf/]{minimum width}.
+An empty \meta{name} disables the evaluation by the library.
+\begin{codeexample}[preamble=\usetikzlibrary{positioning,ext.node-families},/tikz/node distance=.5cm]
+\tikzexternaldisable % ext.node-families does not work with active externalization
+\begin{tikzpicture}[nodes={Rectangle, draw, node family/width=manual}]
+\node (a) {Foo};
+\node[below=of a] (b) {Foobar};
+\end{tikzpicture}
+\end{codeexample}
+\end{key}
+\begin{key}{/tikz/node family/height=\meta{name} (initially |\{\}|)}
+Nodes with the same \meta{name} will have the same \referenceKeyandIndexO[/pgf/]{minimum height}.
+An empty \meta{name} disables the evaluation by the library.
+\end{key}
+\begin{key}{/tikz/node family/size=\meta{name}}
+Sets both |height| and |width|.
+\end{key}
+
+While |node family/width| and |node family/height| only work for the new shapes |Circle| and |Rectangle|,
+the following keys~-- when setup, see below~-- work with every shape with one single node part.
+Initially though, only |circle|, |rectangle|, |Circle| and |Rectangle| are set up that way.
+\begin{key}{/tikz/node family/text height=\meta{name} (initially |\{\}|)}
+Nodes with the same \meta{name} will have the same text height.
+An empty \meta{name} disables the evaluation by the library.
+\end{key}
+
+\begin{key}{/tikz/node family/text depth=\meta{name} (initially |\{\}|)}
+Nodes with the same \meta{name} will have the same text depth.
+An empty \meta{name} disables the evaluation by the library.
+\end{key}
+
+\begin{key}{/tikz/node family/text width=\meta{name} (initially |\{\}|)}
+Nodes with the same \meta{name} will have the same text width.
+An empty \meta{name} disables the evaluation by the library.
+\end{key}
+
+\begin{key}{/tikz/node family/text=\meta{name}}
+Sets |text height|, |text depth| and |text width|.
+\end{key}
+
+Since the width of the node's content's box is setup much earlier,
+the previous key only extends the width of that box which would make the text
+seem as if it where aligned to the left.
+With |text width family align| this can changed.
+\begin{key}{/tikz/node family/text width align=\meta{alignment}(initially |center|)}
+\meta{alignment} is one of |left|, |center| or |right|.
+
+\begin{codeexample}[preamble=\usetikzlibrary{positioning,ext.node-families},/tikz/node distance=.5cm]
+\tikzexternaldisable % ext.node-families does not work with active externalization
+\begin{tikzpicture}[nodes={Rectangle, draw, node family={text width=manual, text width align=right}}]
+\node (a) {Foo};
+\node[below=of a] (b) {Foobar};
+\end{tikzpicture}
+\end{codeexample}
+\end{key}
+
+\begin{key}{/tikz/node family/prefix=\meta{prefix}(initially \expandafter|\string\pgfpictureid-|)}
+The family names are prefixed with the value of |/tikz/node family/prefix|.
+\end{key}
+
+\begin{key}{/tikz/node family/setup shape=\meta{shape}}
+This adds instructions to the \meta{shape}'s definition which
+adjust the text box's dimensions according to the family.
+
+This should be only used once per shape.
+\end{key}
+\begin{codeexample}[width=9cm,preamble=\usetikzlibrary{ext.node-families,shapes.geometric}]
+\tikzexternaldisable % ext.node-families does not work with active externalization
+\begin{tikzpicture}[node family/setup shape=diamond]
+\foreach \cnt[count=\Cnt] in {a,...,h}
+ \node[draw, diamond, node family/text=aTOh] (\cnt)
+ at (right:\Cnt) {\cnt};
+\draw[help lines] (a.south) -- (h.south) (a.north) -- (h.north) (a.base-|a.west) -- (h.base-|h.east);
+\end{tikzpicture}
+\end{codeexample}
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-paths.arcto.tex b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-paths.arcto.tex
new file mode 100644
index 00000000000..8ed660b3a30
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-paths.arcto.tex
@@ -0,0 +1,110 @@
+% !TeX root = tikz-ext-manual.tex
+% !TeX spellcheck = en_US
+% 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.
+%
+
+\section{Arc \emph{to} a point}
+\label{library:paths.arcto}
+
+\begin{tikzlibrary}{ext.paths.arcto}
+ This library adds the new path operation |arc to| that specifies an arc \emph{to} a point~--
+ without the user having to specify any angles.
+\end{tikzlibrary}
+
+\begin{codeexample}[width=.5\linewidth,preamble=\usetikzlibrary{ext.paths.arcto}]
+\begin{tikzpicture}[ultra thick,dot/.style={label={#1}}]
+\coordinate[dot=below left:$a$] (a) at (0,0);
+\coordinate[dot=above right:$b$] (b) at (2,3);
+\begin{scope}[
+ radius=3,
+ nodes={
+ shape=circle,
+ fill=white,
+ fill opacity=.9,
+ text opacity=1,
+ inner sep=+0pt,
+ sloped,
+ allow upside down
+ }]
+\draw[blue] (a) arc to[]
+ node[near start] {.25} node {.5} node[near end] {.75} (b);
+\draw[red] (a) arc to[clockwise]
+ node[near start] {.25} node {.5} node[near end] {.75} (b);
+\draw[blue!50] (a) arc to[large]
+ node[near start] {.25} node {.5} node[near end] {.75} (b);
+\draw[red!50] (a) arc to[large, clockwise]
+ node[near start] {.25} node {.5} node[near end] {.75} (b);
+\end{scope}
+
+\fill[radius=2pt] (a) circle[] (b) circle[];
+\end{tikzpicture}
+\end{codeexample}
+
+\begin{pathoperation}{arc to}{\opt{\oarg{options}}\meta{coordinate or cycle}}
+When this operation is used, the path gets extended by an arc that goes through
+the current point and \meta{coordinate}.
+
+For two points there exist two circles or four arcs that go through or connect
+these two points. Which one of these is constructed is determined by the following
+options that can be used inside of \meta{options}.
+
+\begin{stylekey}{/tikz/arc to/clockwise}
+ This constructs an arc that goes clockwise.
+\end{stylekey}
+
+\begin{stylekey}{/tikz/arc to/counter clockwise}
+ This constructs an arc that goes counter clockwise.
+
+ This is the default.
+\end{stylekey}
+
+\begin{stylekey}{/tikz/arc to/large}
+ This constructs an arc whose angle is larger than $180^\circ$.
+\end{stylekey}
+
+\begin{stylekey}{/tikz/arc to/small}
+ This constructs an arc whose angle is smaller than $180^\circ$.
+\end{stylekey}
+
+\begin{key}{/tikz/arc to/rotate=\meta{degree}}
+ Rotates the arc by \meta{degree}.
+ This is only noticeable when |x radius| and |y radius| are different.
+\end{key}
+
+\begin{key}{/tikz/arc to/x radius=\meta{value}}
+ This forwards the \meta{value} to \referenceKeyandIndexO{x radius}.
+ Its \meta{value} is used for the radius of the arc.
+\end{key}
+
+\begin{key}{/tikz/arc to/y radius=\meta{value}}
+ This forwards the \meta{value} to \referenceKeyandIndexO{y radius}.
+ Its \meta{value} is used for the radius of the arc.
+\end{key}
+
+\begin{key}{/tikz/arc to/radius=\meta{value}}
+ This forwards the \meta{value} to both |/tikz/x radius| and |/tikz/y radius|.
+ Its \meta{value} is used for radius of the arc.
+\end{key}
+
+\begin{stylekey}{/tikz/every arc to}
+ After |/tikz/every arc| this will also be applied before any \meta{options} are set.
+\end{stylekey}
+
+It should be noted that this uses |\pgfpatharcto| for which the \tikzname\space manual warns:\indexCommandO\pgfpatharcto
+\begin{quote}\itshape
+ The internal computations necessary for this command are numerically very unstable.
+ In particular, the arc will not always really end at the \meta{target coordinate},
+ but may be off by up to several points.
+ A more precise positioning is currently infeasible due to \TeX's numerical weaknesses.
+ The only case it works quite nicely is when the resulting angle is a multiple of $90^\circ$.
+\end{quote}
+
+The |arc to| path operation will also work only in the |canvas| coordinate system.
+The lengths of the vectors $(1, 0)$ and $(0, 1)$ will be used for the calculation of the radii
+but no further consideration is done.
+\end{pathoperation} \ No newline at end of file
diff --git a/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-paths.ortho.tex b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-paths.ortho.tex
new file mode 100644
index 00000000000..a46f6be0234
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-paths.ortho.tex
@@ -0,0 +1,185 @@
+% !TeX root = tikz-ext-manual.tex
+% !TeX spellcheck = en_US
+% 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.
+%
+
+\section{More Horizontal and Vertical Lines}
+\label{library:paths.ortho}
+
+\begin{tikzlibrary}{ext.paths.ortho}
+ This library adds new path specifications \verb!|-|!, \verb!-|-! as well as
+ |r-ud|, |r-du|, |r-lr| and |r-rl|.
+\end{tikzlibrary}
+
+\subsection{Zig-Zag}
+Similar to the path operations \verb!|-! and \verb!-|! this library adds\indexPathOperationO{\protect\pgfmanualbar-}\indexPathOperationO{-\protect\pgfmanualbar}
+the path operations \verb!|-|! and \verb!-|-!.
+{\catcode`\|=12
+\begin{pathoperation}[noindex]{|-|}{\opt{\oarg{options}}\meta{coordinate or cycle}}
+ \index{---1@\protect\texttt{\protect\pgfmanualbar-\protect\pgfmanualbar} path operation}%
+ \index{Path operations!---1@\protect\texttt{\protect\pgfmanualbar-\protect\pgfmanualbar}}%
+ \pgfmanualpdflabel[\catcode`\|=12 ]{|-|}{}%
+ This operation means ``first vertical, then horizontal and then vertical again''.
+\end{pathoperation}
+\begin{pathoperation}[noindex]{-|-}{\opt{\oarg{options}}\meta{coordinate or cycle}}
+ \index{--1@\protect\texttt{-\protect\pgfmanualbar-} path operation}%
+ \index{Path operations!--1@\protect\texttt{-\protect\pgfmanualbar-}}%
+ \pgfmanualpdflabel[\catcode`\|=12 ]{-|-}{}%
+ This operation means ``first horizontal, then vertical and then horizontal again''.
+\end{pathoperation}
+}
+\begin{key}{/tikz/hvvh/ratio=\meta{ratio} (initially 0.5)}
+ This sets the ratio for the middle part of the Zig-Zag connection.
+
+ For values $\meta{ratio} < 0$ and $\meta{ratio} > 1$ the Zig-Zag lines will
+ look more like Zig-Zig lines.
+\begin{codeexample}[preamble=\usetikzlibrary{paths.ortho}]
+\begin{tikzpicture}[very thick, rounded corners]
+\draw[help lines] (-.25, -1.25) grid (2.25, 1.25);
+\draw (0, 0) -|- (2, 1) --
+ (2, 0) -|-[ratio=.25] (0,-1) -- cycle;
+\end{tikzpicture}
+\end{codeexample}
+\end{key}
+%TODO: hvvh/distance needs fixing, maybe?
+\begin{key}{/tikz/hvvh/distance=\meta{distance}}
+ This sets the distance between the start point
+ and the middle part of the Zig-Zag connection.
+
+ For values $\meta{distance} < 0$ the distance will be used for the target coordinate.
+\begin{codeexample}[width=8cm,preamble=\usetikzlibrary{ext.paths.ortho}]
+\begin{tikzpicture}[very thick,-latex]
+\draw[help lines,-] (-.25, -.25) grid (5.25, 3.25);
+\draw (0, 0) -|-[distance= .5cm] ++(2, 1);
+\draw (0, 2) -|-[distance=-.5cm] ++(2, 1);
+
+\tikzset{xshift=3cm}
+\draw (2, 1) -|-[distance= .5cm] ++(-2, -1);
+\draw (2, 3) -|-[distance=-.5cm] ++(-2, -1);
+\end{tikzpicture}
+\end{codeexample}
+\end{key}
+\begin{key}{/tikz/hvvh/from center=\opt{\meta{true or false}} (default true)}
+ When nodes get connected the placement of the middle part of the Zig-Zag
+ and the Zig-Zig (see below) connections will be calculated from the border
+ of these nodes.
+ The middle part of the connections can be calculated from the nodes' center
+ if this key is set to |true|.
+\end{key}
+
+New timers are setup for both the Zig-Zag and the Zig-Zig connections,
+these can be configured through the following keys.
+\begin{codeexample}[width=8cm,preamble=\usetikzlibrary{paths.ortho}]
+\tikz \draw (0,0) -|- (2,3)
+ foreach \p in {0.0, 0.25, 0.5, 0.75, 1.0}{
+ node [pos=\p] {\p}};
+\end{codeexample}
+\begin{key}{/tikz/hvvh/spacing=\meta{number} (initially 4)}
+ Unless $\meta{number} = 0$ is set
+ \begin{itemize}
+ \item |pos = 0| will be at the start,\indexKeyO{pos}
+ \item |pos = 1| will be at the end,
+ \item |pos = |$\frac{1}{\meta{number}}$ will be at the first kink,
+ \item |pos = |$\frac{\meta{number}-1}{\meta{number}}$ will be at the second kink and
+ \item |pos = .5| will be in the middle of the middle part of the connection.
+ \end{itemize}
+
+ If $\meta{number} = 0$ then
+ \begin{itemize}
+ \item |pos = -1| will be at the start,
+ \item |pos = 2| will be at the end,
+ \item |pos = 0| will be at the first kink,
+ \item |pos = 1| will be at the second kink and
+ \item |pos = .5| will still be in the middle of the middle part of the connection.
+ \end{itemize}
+\end{key}
+\begin{key}{/tikz/hvvh/middle 0 to 1}
+ This is an alias for |spacing = 0|.
+\end{key}
+
+\subsection{Zig-Zig}
+\begin{pathoperation}{r-ud}{\opt{\oarg{options}}\meta{coordinate or cycle}}
+ This operation means ``first up, then horizontal and then down''.
+ \begin{key}{/tikz/udlr/ud distance=\meta{length} (initially .5cm)}
+ This sets the distance between the start and the horizontal line to \meta{length}.
+ \end{key}
+\end{pathoperation}
+\begin{pathoperation}{r-du}{\opt{\oarg{options}}\meta{coordinate or cycle}}
+ This operation means ``first down, then horizontal and then up''.
+ \begin{key}{/tikz/udlr/du distance=\meta{length} (initially .5cm)}
+ This sets the distance between the start and the horizontal line to \meta{length}.
+ \end{key}
+\end{pathoperation}
+\begin{pathoperation}{r-lr}{\opt{\oarg{options}}\meta{coordinate or cycle}}
+ This operation means ``left down, then vertical and then right''.
+ \begin{key}{/tikz/udlr/lr distance=\meta{length} (initially .5cm)}
+ This sets the distance between the start and the vertical line to \meta{length}.
+ \end{key}
+\end{pathoperation}
+\begin{pathoperation}{r-rl}{\opt{\oarg{options}}\meta{coordinate or cycle}}
+ This operation means ``first right, then vertical and then down''.
+ \begin{key}{/tikz/udlr/rl distance=\meta{length} (initially .5cm)}
+ This sets the distance between the start and the vertical line to \meta{length}.
+ \end{key}
+\end{pathoperation}
+
+All distances can be set with on key.
+\begin{key}{/tikz/udlr/distance=\meta{length}}
+ Sets all distances in the |/tikz/udlr| namespace.
+\end{key}
+
+\begin{key}{/tikz/udlr/from center=\opt{\meta{true or false}} (initially false, default true)}
+ This is an alias for |/tikz/hvvh/from center|.
+\end{key}
+
+\subsection{Even more Horizontal and Vertical Lines}
+
+The following keys can be used to access vertical and horizontal line path operations.
+\begin{stylekey}{/tikz/horizontal vertical}
+ This installs \verb!to path = -| (\tikztotarget) \tikztonodes! that can be used with\indexKeyO{to path}
+ the path operations |to| or |edge|.
+\end{stylekey}
+\begin{stylekey}{/tikz/vertical horizontal}
+ This installs \verb!to path = |- (\tikztotarget) \tikztonodes! that can be used with
+ the path operations |to| or |edge|.
+\end{stylekey}
+\begin{stylekey}{/tikz/horizontal vertical horizontal}
+ This installs \verb!to path = -|- (\tikztotarget) \tikztonodes! that can be used with
+ the path operations |to| or |edge|.
+\end{stylekey}
+\begin{stylekey}{/tikz/vertical horizontal vertical}
+ This installs \verb!to path = |-| (\tikztotarget) \tikztonodes! that can be used with
+ the path operations |to| or |edge|.
+\end{stylekey}
+
+When connecting rectangular nodes, these keys could be useful as well.
+They all need to be given to a |to| or |edge| path operation.
+\begin{stylekey}{/tikz/only vertical second=\opt{\meta{length}} (default 0pt)}
+This draws a vertical line from the start point to the target point so that
+it connects to the target point in the center (or at its border in case it is a node).
+
+The optional \meta{length} can be used to shift the line orthogonally to its direction.
+\end{stylekey}
+\begin{stylekey}{/tikz/only horizontal second=\opt{\meta{length}} (default 0pt)}
+This draws a horizontal line from the start point to the target point so that
+it connects to the target point in the center (or at its border in case it is a node).
+
+The optional \meta{length} can be used to shift the line orthogonally to its direction.
+\end{stylekey}
+\begin{stylekey}{/tikz/only vertical first=\opt{\meta{length}} (default 0pt)}
+This draws a vertical line from the start point to the target point so that
+it connects to the start point in the center (or at its border in case it is a node).
+
+The optional \meta{length} can be used to shift the line orthogonally to its direction.
+\end{stylekey}
+\begin{stylekey}{/tikz/only horizontal first=\opt{\meta{length}} (default 0pt)}
+This draws a horizontal line from the start point to the target point so that
+it connects to the start point in the center (or at its border in case it is a node).
+
+The optional \meta{length} can be used to shift the line orthogonally to its direction.
+\end{stylekey}
diff --git a/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-paths.timer.tex b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-paths.timer.tex
new file mode 100644
index 00000000000..09049bf8297
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-paths.timer.tex
@@ -0,0 +1,90 @@
+% !TeX root = tikz-ext-manual.tex
+% !TeX spellcheck = en_US
+% 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.
+%
+
+\section{Extending the Path Timers}
+\label{library:timer}
+
+\begin{tikzlibrary}{ext.paths.timer}
+ This library adds timers to the path specifications |rectangle|, |parabola|, |sin| and |cos|.
+\end{tikzlibrary}
+
+In \tikzname, the path specification |rectangle|, |parabola|, |sin| and |cos| do not provide
+their own timer, i.\,e. a node placing algorithm that is dependent on the actual path.
+For |rectangle| the timer of the straight line between the rectangle's corners is used, for
+the other paths, nodes, coordinates, pics, etc. are placed on the last coordinate.
+
+This library allows this.
+
+\subsection{Rectangle}
+\indexPathOperationO{rectangle}
+
+For the |rectangle| path operator, the timer starts with |pos = 0| (= |at start|) from\indexKeyO{pos}
+the starting coordinate in a counter-clockwise direction along the rectangle.
+The corners will be at positions 0.0, 0.25, 0.5, 0.75 and 1.0.
+
+\begin{codeexample}[width=10cm,preamble=\usetikzlibrary{ext.paths.timer}]
+\begin{tikzpicture}[scale=2, every pin edge/.style={latex-, gray}]
+\coordinate [label=above right:Target] (A) at (0,0);
+\coordinate [label=below left:Start] (B) at (1,2);
+\draw[->, help lines] ([shift=(50:.3 and .75)] .5,1)
+ arc[start angle=50, delta angle=340, x radius=.3, y radius=.75];
+\draw (B) rectangle (A)
+ foreach \pos/\ang in {at start/60, very near start/90, near start/180, pos=.375/180,
+ midway/180, pos=.625/270, near end/0, very near end/0, at end/0}{
+ node[pin=\ang:\pos, style/.expanded=\pos]{}};
+\end{tikzpicture}
+\end{codeexample}
+
+\subsection{Parabola}
+\indexPathOperationO{parabola}%
+
+For the |parabola| path operator the timer is similar to the |.. controls ..| operator.
+
+The position 0.5 will lie at the |bend|.
+\begin{codeexample}[width=.3\linewidth,preamble=\usetikzlibrary{ext.paths.timer}]
+\begin{tikzpicture}
+\draw[help lines] (-2.25, -1.25) grid (2.25, 3.25);
+\draw ( 2,-1) parabola bend (0,0) (-1,3);
+\draw[ultra thick] (-2,-1) parabola bend (0,0) ( 1,3)
+ foreach \pos in {1,...,4,6,7,...,9}{
+ node[
+ pos=.\pos, sloped, fill=white, font=\small, inner sep=+0pt
+ ] {\pos}
+ };
+\end{tikzpicture}
+\end{codeexample}
+
+If no |bend| is specified half the positions will collapse into one end of the curve.
+
+\begin{codeexample}[width=.3\linewidth,preamble=\usetikzlibrary{ext.paths.timer}]
+\begin{tikzpicture}[every pin edge/.style={latex-, shorten <=1pt, gray}]
+\draw (-2,-2) parabola (1,0)
+ foreach \pos in {0, 1, ..., 10} {
+ node [pos=\pos/10, pin={[anchor=-18*\pos+90]-18*\pos+270:\pos}]{}
+ };
+\end{tikzpicture}
+\end{codeexample}
+
+\subsection{Sine/Cosine}
+\indexPathOperationO{sin}\indexPathOperationO{cos}%
+
+The |sin| and |cos| path operators also allow placing of nodes along their paths.
+
+\begin{codeexample}[width=.3\linewidth,preamble=\usetikzlibrary{ext.paths.timer}]
+\begin{tikzpicture}[mark nodes on line/.style={insert path={
+ foreach \pos in {1, ..., 9} {node[
+ sloped, fill=white, font=\small, inner sep=+0pt, pos=\pos/10] {\pos}}}}]
+\draw[help lines] (-2.1,-2.1) grid (2.1,0.1);
+\draw (-2,-2) sin (1,0) [mark nodes on line];
+\draw[shift=(0:1)](-2,-2) cos (1,0) [mark nodes on line];
+\end{tikzpicture}
+\end{codeexample}
+
+\endinput
diff --git a/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-patterns.images.tex b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-patterns.images.tex
new file mode 100644
index 00000000000..10fa3aca6d0
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-patterns.images.tex
@@ -0,0 +1,50 @@
+% !TeX spellcheck = en_US
+% !TeX root = tikz-ext-manual.tex
+% 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.
+%
+\clearpage
+\section{Using Images as a Pattern}
+\label{library:patterns.images}
+
+\begin{tikzlibrary}{ext.patterns.images}
+ This library allows to use an image to be used as a repeating pattern for a path.
+\end{tikzlibrary}
+
+With this library arbitrary images (or indeed PDF documents) can be used as
+a repeating pattern for the background of a path.
+
+This is a two-step process:
+\begin{enumerate}
+\item Declaring an image as an ``image-pattern''.
+\item Using the ``image-pattern''.
+\end{enumerate}
+
+\begin{command}{\pgfsetupimageaspattern\oarg{options}\marg{name}\marg{image}}
+\end{command}
+
+\begin{key}{/tikz/image as pattern=\meta{options} (default |\{\}|)}
+
+\begin{codeexample}[preamble=\usetikzlibrary{ext.patterns.images}]
+\pgfsetupimageaspattern[width=.5cm]{grid}{example-image-1x1}
+\tikz \node[star, minimum size=3cm, draw,
+ image as pattern={name=grid,options={left, bottom, y=-.5cm, rotate=45}}] {};
+\end{codeexample}
+\end{key}
+
+\begin{key}{/tikz/image as pattern/name=\meta{name}}
+Specifies the name of the ``image-pattern'' to be used.
+\end{key}
+
+\begin{stylekey}{/tikz/image as pattern/option}
+Options that's be used by the internal |\pgftext|,\indexCommandO{\pgftext}
+only keys from |/pgf/text| should be used.\indexKeyO[/pgf/]{text}
+\end{stylekey}
+
+\begin{stylekey}{/tikz/image as pattern/options=\meta{style}}
+Appends style |/tikz/image as pattern/option|.
+\end{stylekey} \ No newline at end of file
diff --git a/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-positioning-plus.tex b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-positioning-plus.tex
new file mode 100644
index 00000000000..a0451a8fd7c
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-positioning-plus.tex
@@ -0,0 +1,183 @@
+% !TeX spellcheck = en_US
+% !TeX root = tikz-ext-manual.tex
+% 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.
+%
+\clearpage
+\section{Positioning Plus}
+\label{library:positioning-plus}
+\tikzsetnextfilename{posplus}
+\begin{tikzlibrary}{ext.positioning-plus}
+ With the help of the |positioning|\indexLibrary{positioning} and the |fit|\indexLibrary{fit} library this extends the placement of nodes.
+\end{tikzlibrary}
+
+\subsection{Useful corner anchors}
+The anchors |corner north east|, |corner north west|, |corner south west| and |corner south east|
+are defined as ``generic anchors'', i.\,e. they are defined for all shapes.
+This is mostly useful for the placement of circular shapes.
+\begin{stylekey}{/tikz/corner above left=\opt{\meta{specification}} (default 0pt)}
+ Similar as \referenceKeyandIndexO{above left} of the \tikzname\space library |positioning|
+ but uses the |corner north west| anchor.
+\end{stylekey}
+\begin{stylekey}{/tikz/corner below left=\opt{\meta{specification}} (default 0pt)}
+ Similar as \referenceKeyandIndexO{below left} of the \tikzname\space library |positioning|
+ but uses the |corner south west| anchor.
+\end{stylekey}
+\begin{stylekey}{/tikz/corner above right=\opt{\meta{specification}} (default 0pt)}
+ Similar as \referenceKeyandIndexO{above right} of the \tikzname\space library |positioning|
+ but uses the |corner north east| anchor.
+\end{stylekey}
+\begin{stylekey}{/tikz/corner below right=\opt{\meta{specification}} (default 0pt)}
+ Similar as \referenceKeyandIndexO{below right} of the \tikzname\space library |positioning|
+ but uses the |corner south east| anchor.
+\end{stylekey}
+
+\begin{codeexample}[width=.6\linewidth,preamble=\usetikzlibrary{ext.positioning-plus}]
+\Huge
+\begin{tikzpicture}
+\node[name=s,shape=circle,shape example]
+ {Circle\vrule width 1pt height 2cm};
+\foreach \anchor/\placement in {
+ north west/above left, north/above, north east/above right,
+ west/left, center/above, east/right,
+ mid west/right, mid/above, mid east/left,
+ base west/left, base/below, base east/right,
+ south west/below left, south/below, south east/below right,
+ text/left, 10/right, 130/above}
+ \draw[shift=(s.\anchor)] plot[mark=x] coordinates{(0,0)}
+ node[\placement] {\scriptsize\texttt{(s.\anchor)}};
+\draw (s.corner north west) rectangle (s.corner south east);
+\foreach \anchor/\placement in {
+ corner north west/above left, corner north east/above right,
+ corner south west/below left, corner south east/below right}
+ \draw[red,shift=(s.\anchor)] plot[mark=x] coordinates{(0,0)}
+ node[\placement] {\scriptsize\texttt{(s.\anchor)}};
+\end{tikzpicture}
+\end{codeexample}
+
+\subsection{Useful placement keys for vertical and horizontal alignment}
+\begin{stylekey}{/tikz/north left=\opt{\meta{specification}} (default 0pt)}
+ Like \referenceKeyandIndexO{left} but aligns the nodes at their |north| border.
+
+ This is basically the same as |left=of reference.north west, anchor=north east|.
+ %
+\begin{codeexample}[preamble=\usetikzlibrary{ext.positioning-plus}]
+\begin{tikzpicture}[nodes=draw]
+\node[minimum height=2cm] (a) {};
+\node[minimum height=3cm, north right=of a] {};
+\end{tikzpicture}
+\end{codeexample}
+\end{stylekey}
+\begin{stylekey}{/tikz/north right=\opt{\meta{specification}} (default 0pt)}
+ Like \referenceKeyandIndexO{right} but aligns the nodes at their |north| border.
+
+ This is basically the same as |left=of reference.north east, anchor=north west|.
+\end{stylekey}
+\begin{stylekey}{/tikz/south left=\opt{\meta{specification}} (default 0pt)}
+ Like \referenceKeyandIndexO{left} but aligns the nodes at their |south| border.
+
+ This is basically the same as |left=of reference.south west, anchor=south east|.
+\end{stylekey}
+\begin{stylekey}{/tikz/south right=\opt{\meta{specification}} (default 0pt)}
+ Like \referenceKeyandIndexO{right} but aligns the nodes at their |south| border.
+
+ This is basically the same as |left=of reference.south east, anchor=south west|.
+\end{stylekey}
+\begin{stylekey}{/tikz/west above=\opt{\meta{specification}} (default 0pt)}
+ Like \referenceKeyandIndexO{above} but aligns the nodes at their |west| border.
+
+ This is basically the same as |left=of reference.north west, anchor=south west|.
+\end{stylekey}
+\begin{stylekey}{/tikz/west below=\opt{\meta{specification}} (default 0pt)}
+ Like \referenceKeyandIndexO{below} but aligns the nodes at their |west| border.
+
+ This is basically the same as |left=of reference.south west, anchor=north west|.
+\end{stylekey}
+\begin{stylekey}{/tikz/east above=\opt{\meta{specification}} (default 0pt)}
+ Like \referenceKeyandIndexO{above} but aligns the nodes at their |east| border.
+
+ This is basically the same as |left=of reference.north east, anchor=south east|.
+\end{stylekey}
+\begin{stylekey}{/tikz/east below=\opt{\meta{specification}} (default 0pt)}
+ Like \referenceKeyandIndexO{below} but aligns the nodes at their |east| border.
+
+ This is basically the same as |left=of reference.south east, anchor=north east|.
+\end{stylekey}
+
+The same exist for the recently introduces corner anchors, too.
+\begin{stylekey}{/tikz/corner north left=\opt{\meta{specification}} (default 0pt)}
+ The same as |/tikz/north left| but uses the new corner anchors.
+\end{stylekey}
+\begin{stylekey}{/tikz/corner north right=\opt{\meta{specification}} (default 0pt)}
+ The same as |/tikz/north right| but uses the new corner anchors.
+\end{stylekey}
+\begin{stylekey}{/tikz/corner south left=\opt{\meta{specification}} (default 0pt)}
+ The same as |/tikz/south left| but uses the new corner anchors.
+\end{stylekey}
+\begin{stylekey}{/tikz/corner south right=\opt{\meta{specification}} (default 0pt)}
+ The same as |/tikz/south right| but uses the new corner anchors.
+\end{stylekey}
+\begin{stylekey}{/tikz/corner west above=\opt{\meta{specification}} (default 0pt)}
+ The same as |/tikz/west above| but uses the new corner anchors.
+\end{stylekey}
+\begin{stylekey}{/tikz/corner west below=\opt{\meta{specification}} (default 0pt)}
+ The same as |/tikz/west below| but uses the new corner anchors.
+\end{stylekey}
+\begin{stylekey}{/tikz/corner east above=\opt{\meta{specification}} (default 0pt)}
+ The same as |/tikz/east above| but uses the new corner anchors.
+\end{stylekey}
+\begin{stylekey}{/tikz/corner east below=\opt{\meta{specification}} (default 0pt)}
+ The same as |/tikz/east below| but uses the new corner anchors.
+\end{stylekey}
+
+While the \meta{specification} of all these keys still accept the same form as with \tikzname,
+the |ext.positioning-plus| library extends this even more.
+
+The specification after |of| can contain a list of coordinates
+(like the |fit| key of the |fit| library).
+This means that the new node will be placed in relation to a rectangular bounding box
+that fits around all this nodes in the list.
+
+If this list is prefixed with \verb!|!, |-| or |+|,
+the new node will also have the same height (\verb!|!),
+the same width (|-|) or both as this bounding box.
+
+\begin{codeexample}[preamble=\usetikzlibrary{ext.positioning-plus}]
+\begin{tikzpicture}[nodes=draw]
+\node (A) {A};
+\node[below=of A] (BCD) {BCD};
+\node[right=of |(A)(BCD)] (c) {};
+\node[below=.5:of -(A)(BCD)] (d) {};
+\draw[help lines] (BCD.south west) -- (c.south east)
+ (BCD.north east) -- (d.south east);
+\end{tikzpicture}
+\end{codeexample}
+
+This functionality is also available without the placement:
+\begin{stylekey}{/tikz/fit bounding box=\meta{list of coordinates}}
+ Creates a rectangular node with the name |fit bounding box| that encompasses
+ the \meta{list of coordinates}.
+\end{stylekey}
+\begin{stylekey}{/tikz/span vertical=\meta{list of coordinates}}
+ Creates a rectangular node with the name |fit bounding box| that encompasses
+ the \meta{list of coordinates} \emph{and} sets the \referenceKeyandIndexO[/pgf]{minimum height} to
+ the height of this bounding box.
+\end{stylekey}
+\begin{stylekey}{/tikz/span horizontal=\meta{list of coordinates}}
+ Creates a rectangular node with the name |fit bounding box| that encompasses
+ the \meta{list of coordinates} \emph{and} sets the \referenceKeyandIndexO[/pgf]{minimum width} to
+ the width of this bounding box.
+\end{stylekey}
+\begin{stylekey}{/tikz/span=\meta{list of coordinates}}
+ Is a combination of |/tikz/span vertical| and |/tikz/span horizontal|.
+\end{stylekey}
+
+As you maybe noticed in the example above, the \meta{specification} also allows a prefix
+delimited by |:| which the |node distance| will be multiplied to with for the placement.%
+\footnote{This is probably more useful when \referenceKeyandIndexO{on grid} is used.}
+
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-topaths.arcthrough.tex b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-topaths.arcthrough.tex
new file mode 100644
index 00000000000..1d9e5ba9df6
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-topaths.arcthrough.tex
@@ -0,0 +1,63 @@
+% !TeX root = tikz-ext-manual.tex
+% !TeX spellcheck = en_US
+% 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.
+%
+
+\section{Arcs through Three Points}
+\label{library:topaths.arcthrough}
+\begin{tikzlibrary}{ext.topaths.arcthrough}
+ This library allows to use an arc defined by three points.
+\end{tikzlibrary}
+
+\begin{codeexample}[width=10cm,preamble=\usetikzlibrary{ext.topaths.arcthrough}]
+\begin{tikzpicture}
+\coordinate[label=above right:$A$] (A) at ( 3, 1);
+\coordinate[label=above:$B$] (B) at ( 1, 2);
+\coordinate[label=below left:$C$] (C) at (-2,-2);
+
+\draw[ultra thick, draw=green, fill=green!50]
+ (B) to[arc through={clockwise,(A)}] (C)
+ -- (arc through center) -- cycle;
+\draw[ultra thick, draw=blue, fill=blue!50]
+ (B) to[arc through=(A)] (C)
+ -- (arc through center) -- cycle;
+
+\foreach \p in {A,B,C, arc through center} \fill[red] (\p) circle[radius=2pt];
+\end{tikzpicture}
+\end{codeexample}
+
+This can only by used for circles in the |canvas| coordinate system.
+
+\begin{multicols}{2}
+\begin{key}{/tikz/arc through/through=\meta{coordinate} (initially {(0,0)})}
+ The coordinate on the circle that defines~-- together with the
+ starting and target point~-- a circle.
+\end{key}
+
+\begin{key}{/tikz/arc through/center suffix=\meta{suffix} (initially {})}
+ The |arc through| will define a coordinate named |arc through center|\meta{suffix}
+ so that it can be referenced later.
+\end{key}
+
+\begin{key}{/tikz/arc through/clockwise}
+ The resulting arc will go clockwise from the starting point to the target point.
+ This will not necessarily go through the |through| point.
+\end{key}
+
+\begin{key}{/tikz/arc through/counter clockwise}
+ The resulting arc will go counter clockwise from the starting point to the target point.
+ This will not necessarily go through the |through| point.
+\end{key}
+
+\begin{key}{/tikz/arc through=\meta{key-value}}
+ This key should be used with |to|\indexPathOperationO{to} or |edge|\indexPathOperationO{edge}.
+ A parameter other than |center suffix|, |clockwise| or |counter clockwise| will
+ be assumed to be the |through| coordinate.
+\end{key}
+\end{multicols}
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-trans.tex b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-trans.tex
new file mode 100644
index 00000000000..b2aa0f8f7f1
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-library-trans.tex
@@ -0,0 +1,136 @@
+% !TeX spellcheck = en_US
+% !TeX root = tikz-ext-manual.tex
+% 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.
+%
+
+\clearpage
+\section{Mirror, Mirror on the Wall}
+\label{library:mirror}
+
+\begin{tikzlibrary}{ext.transformations.mirror}
+ This library adds more transformations to \tikzname.
+\end{tikzlibrary}
+
+As explained in section~\ref{pgflibrary:transformations}, there are two approaches to setting a mirror transformation.
+As with the commands in PGF, we'll be using a lowercase |m| for the reflection matrix and an uppercase |M| for the built-in approach.
+
+\subsection{Using the reflection matrix}
+
+\begin{codeexample}[width=.4\linewidth,preamble=\usetikzlibrary{shapes.geometric,ext.transformations.mirror}]
+\begin{tikzpicture}[line join=round, thick, reg poly/.style={
+ shape=regular polygon, regular polygon sides={#1}}]
+\node[reg poly=5, minimum size=+2cm, draw, very thick] (a) {};
+\foreach \i[evaluate={\col=(\i-1)/.04}] in {1,...,5}
+ \node [mirror=(a.corner \i)--(a.side \i), transform shape,
+ reg poly=5, minimum size=+2cm, draw=red!\col!blue] {};
+\end{tikzpicture}
+\end{codeexample}
+
+\begin{key}{/tikz/xmirror=\meta{value or coordinate}}
+ Sets up a transformation that mirrors along a horizontal line that goes through point $(\text{\meta{value}}, 0)$ or \meta{coordinate}.
+
+\begin{codeexample}[preamble=\usetikzlibrary{ext.transformations.mirror}]
+\begin{tikzpicture}
+\draw[help lines] (-0.25, -.25) grid (3.25, 1.25);
+\draw[-latex] (0,0) .. controls (.5,1) .. (1,1);
+
+\draw[dashed] (1.5, -.25) coordinate (m) -- (1.5, 1.25);
+\draw[xmirror=(m),-latex] (0,0) .. controls (.5,1) .. (1,1);
+\end{tikzpicture}
+\end{codeexample}
+\end{key}
+
+\begin{key}{/tikz/ymirror=\meta{value or coordinate}}
+ Sets up a transformation that mirrors along a vertical line that goes through point $(0, \text{\meta{value}})$ or \meta{coordinate}.
+\end{key}
+
+
+\begin{key}{/tikz/mirror x=\meta{coordinate}}
+ Similar to |/tikz/xmirror|, this however uses the |xyz| coordinate system instead of the |canvas| system.
+\begin{codeexample}[preamble=\usetikzlibrary{ext.transformations.mirror}]
+\begin{tikzpicture}[x=.5cm, y=(45:1cm)]
+
+\draw[-latex] (0,0) .. controls (.5,1) .. (1,1);
+
+\draw[dashed] (1.5, -.25) coordinate (m) -- (1.5, 1.25);
+
+\draw[ xmirror=(m), -latex, red, dotted] (0,0) .. controls (.5,1) .. (1,1);
+\draw[mirror x=(m), -latex] (0,0) .. controls (.5,1) .. (1,1);
+\end{tikzpicture}
+\end{codeexample}
+\end{key}
+
+\begin{key}{/tikz/mirror y=\meta{coordinate}}
+ Similar to |/tikz/ymirror|, this however uses the |xyz| coordinate system instead of the |canvas| system.
+\end{key}
+
+
+\begin{key}{/tikz/mirror=\meta{point A}|--|\meta{point B}}
+ Sets up a transformation that mirrors along a line that goes through \meta{point A} and \meta{point B}.
+
+ When only \meta{point A} is given that line goes through \meta{point A} and the origin.
+\end{key}
+
+\subsection{Using built-in transformations}
+
+\begin{codeexample}[width=.4\linewidth,preamble=\usetikzlibrary{shapes.geometric,ext.transformations.mirror}]
+\begin{tikzpicture}[line join=round, thick, reg poly/.style={
+ shape=regular polygon, regular polygon sides={#1}}]
+\node[reg poly=5, minimum size=+2cm, draw, very thick] (a) {};
+\foreach \i[evaluate={\col=(\i-1)/.04}] in {1,...,5}
+ \node [Mirror=(a.corner \i)--(a.side \i), transform shape,
+ reg poly=5, minimum size=+2cm, draw=red!\col!blue] {};
+\end{tikzpicture}
+\end{codeexample}
+
+\begin{key}{/tikz/xMirror=\meta{value or coordinate}}
+ Sets up a transformation that mirrors along a horizontal line that goes through point $(\text{\meta{value}}, 0)$ or \meta{coordinate}.
+
+\begin{codeexample}[preamble=\usetikzlibrary{ext.transformations.mirror}]
+\begin{tikzpicture}
+\draw[help lines] (-0.25, -.25) grid (3.25, 1.25);
+\draw[-latex] (0,0) .. controls (.5,1) .. (1,1);
+
+\draw[dashed] (1.5, -.25) coordinate (m) -- (1.5, 1.25);
+\draw[xMirror=(m),-latex] (0,0) .. controls (.5,1) .. (1,1);
+\end{tikzpicture}
+\end{codeexample}
+\end{key}
+
+\begin{key}{/tikz/yMirror=\meta{value or coordinate}}
+ Sets up a transformation that mirrors along a vertical line that goes through point $(0, \text{\meta{value}})$ or \meta{coordinate}.
+\end{key}
+
+
+\begin{key}{/tikz/Mirror x=\meta{coordinate}}
+ Similar to |/tikz/xMirror|, this however uses the |xyz| coordinate system instead of the |canvas| system.
+\begin{codeexample}[preamble=\usetikzlibrary{ext.transformations.mirror}]
+\begin{tikzpicture}[x=.5cm, y=(45:1cm)]
+
+\draw[-latex] (0,0) .. controls (.5,1) .. (1,1);
+
+\draw[dashed] (1.5, -.25) coordinate (m) -- (1.5, 1.25);
+
+\draw[ xMirror=(m), -latex, red, dotted] (0,0) .. controls (.5,1) .. (1,1);
+\draw[Mirror x=(m), -latex] (0,0) .. controls (.5,1) .. (1,1);
+\end{tikzpicture}
+\end{codeexample}
+\end{key}
+
+\begin{key}{/tikz/Mirror y=\meta{coordinate}}
+ Similar to |/tikz/yMirror|, this however uses the |xyz| coordinate system instead of the |canvas| system.
+\end{key}
+
+
+\begin{key}{/tikz/Mirror=\meta{point A}\opt{|--|\meta{point B}}}
+ Sets up a transformation that mirrors along a line that goes through \meta{point A} and \meta{point B}.
+
+ When only \meta{point A} is given that line goes through \meta{point A} and the origin.
+\end{key}
+
+\endinput
diff --git a/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-main-body.tex b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-main-body.tex
new file mode 100644
index 00000000000..e4445d392b4
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-main-body.tex
@@ -0,0 +1,192 @@
+% !TeX spellcheck = en_US
+% !TeX root = tikz-ext-manual.tex
+% 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.
+%
+\newcommand*\tikzextname{Ti\textit kZ-Extensions}
+\newcommand*\tikzextversion{0.2}
+
+%\includeonly{
+% tikz-ext-manual-en-library-paths.arcto,
+% tikz-ext-manual-en-library-paths.ortho,
+% tikz-ext-manual-en-library-paths.timer,
+% tikz-ext-manual-en-library-patterns.images,
+% tikz-ext-manual-en-library-topaths.arcthrough,
+% tikz-ext-manual-en-library-trans,
+% tikz-ext-manual-en-pgf-trans,
+% tikz-ext-manual-en-library-misc,
+%}
+\begin{document}
+
+\title{\bfseries The \tikzextname\space Package\\
+ \large Manual for version \tikzextversion\\[1mm]
+\large\href{https://github.com/Qrrbrbirlbel/tikz-extensions}{\texttt{https://github.com/Qrrbrbirlbel/tikz-extensions}}
+\author{Qrrbrbirlbel}}
+
+\maketitle
+\label{table-of-contents}
+
+\tableofcontents
+
+
+\include{tikz-ext-manual-en-intro}
+
+\part{\tikzname\space Libraries}
+\label{part:tikz}
+
+These libraries only work with \tikzname.
+\vspace{1em}
+\begin{center}\tikzsetnextfilename{main-cover}
+\begin{tikzpicture}[
+ very thick,
+ scale=2.7,
+ grow cyclic,
+ level distance=1cm,
+ level/.style={
+ level distance/.expanded=\ifnum#1>1 \tikzleveldistance/1.5\else\tikzleveldistance\fi,
+ nodes/.expanded={\ifodd#1 fill\else fill=none\fi}
+ },
+ level 1/.style={sibling angle=120},
+ level 2/.style={sibling angle=90},
+ level 3/.style={sibling angle=90},
+ level 4/.style={sibling angle=45},
+ nodes={circle,draw,inner sep=+0pt, minimum size=+5pt},
+ ]
+\path[rotate=30]
+ node {}
+ child foreach \cntI in {1,...,3} {
+ node {}
+ child foreach \cntII in {1,...,2} {
+ node {}
+ child foreach \cntIII in {1,...,2} {
+ node {}
+ child foreach \cntIV in {1,...,2} {
+ node {}
+ child foreach \cntV in {1,...,2} {}
+ }
+ }
+ }
+ };
+\end{tikzpicture}
+\end{center}
+
+\tikzsetfigurename{calendar-plus} \include{tikz-ext-manual-en-library-calendar-plus}
+\tikzsetfigurename{node-families} \include{tikz-ext-manual-en-library-node-families}
+\tikzsetfigurename{paths.arcto} \include{tikz-ext-manual-en-library-paths.arcto}
+\tikzsetfigurename{paths.ortho} \include{tikz-ext-manual-en-library-paths.ortho}
+\tikzsetfigurename{paths.timer} \include{tikz-ext-manual-en-library-paths.timer}
+\tikzsetfigurename{patterns.images} \include{tikz-ext-manual-en-library-patterns.images}
+\tikzsetfigurename{positioning-plus}\include{tikz-ext-manual-en-library-positioning-plus}
+\tikzsetfigurename{topaths.arcthrough}\include{tikz-ext-manual-en-library-topaths.arcthrough}
+\tikzsetfigurename{trans} \include{tikz-ext-manual-en-library-trans}
+
+\part{PGF Libraries}
+\label{part:pgf}
+These libraries (should) work with both PGF and \tikzname.
+
+\begin{center}\tikzsetnextfilename{main-graph}
+\begin{codeexample}[width=10cm,preamble=\usetikzlibrary{graphs,graphdrawing,ext.misc} \usegdlibrary{force}]
+\tikzset{
+ mynode/.style={
+ circle, minimum size=10mm, draw, densely dashdotted, thick,
+ decide color/.expand once=#1},
+ decide color/.style 2 args={
+ /utils/TeX/if=c#1
+ {/utils/TeX/ifnum={#2<5}{bluelight}{bluedark}}
+ {/utils/TeX/ifnum={#2<8}{light}{dark}}},
+ light/.style={fill=gray!20}, bluelight/.style={fill=blue!10},
+ dark/.style ={fill=gray!60}, bluedark/.style ={fill=blue!30}}
+\tikz\graph[
+ spring electrical layout, vertical=c2 to p13,
+ node distance=1.5cm, typeset=$n_{\tikzgraphnodetext}$,
+ nodes={mynode=\tikzgraphnodetext}] {
+ % outer ring
+ c2 -- {p1, p11, p6};
+ p1 -- {p8, c6, p11};
+ p8 -- {p3, p10, c6};
+ p3 -- {p13, p15, p10};
+ p13 -- {p15, c7};
+ c7 -- {c3, c4, p15};
+ c3 -- {p14, c4};
+ p14 -- {p7, c4};
+ p7 -- {p9, p2, c4};
+ p9 -- {c5, p12, p2};
+ c5 -- {c1, p4, p12};
+ c1 -- {p6, p4};
+ p6 -- {p11, p4};
+ % inner ring
+ p11 -- {c6, p12, p4};
+ p5 -- {c6 -- {p10, p12}, p10 -- p15, p15 -- c4, c4 -- p2, p2 -- p12, p12 -- p4};
+};
+\end{codeexample}
+\end{center}
+
+\tikzsetfigurename{PGF.trans}\include{tikz-ext-manual-en-pgf-trans}
+
+\part{Utilities}
+
+\label{part:misc}
+\vfill\tikzsetnextfilename{main-misc}
+\begin{codeexample}[width=6cm, preamble=\usetikzlibrary{ext.misc}]
+\begin{tikzpicture}[
+ declare function={bigR(\n)=smallR+.05*\n;},
+ declare constant={smallR=1; segments=20;},
+ full arc=segments]
+\foreach \iN[evaluate={\endRadius=bigR(\iN+1);}, use int=0 to segments-1]
+ \filldraw[fill=gray!50] (\iN R:\endRadius)
+ arc [radius=\endRadius, start angle=\iN R, delta angle=+1R] -- (\iN R+1R:smallR)
+ arc [radius=smallR, end angle=\iN R, delta angle=-1R] -- cycle;
+
+\node {$\phi^2$};
+\node at (north west:{sqrt 2 * bigR(segments/2)}) {$\{\Omega\}_{i=1}^n$};
+\node[rotate=-.5R, right] at (-.5R: bigR segments) {$\partial \varphi$};
+
+\tikzset{yshift=-5cm, declare constant={segments=25;}, full arc=segments}
+\filldraw[fill=gray!50] (right:smallR)
+ \foreach \iN[evaluate={\endRadius=bigR(\iN+1);}, use int=0 to segments-1] {
+ -- (\iN R:\endRadius) arc[radius=\endRadius, start angle=\iN R, delta angle=1R]}
+ -- (right:smallR) arc[radius=smallR, start angle=0, delta angle=-360];
+
+\node {$\phi^2$};
+\node at (north west:{sqrt 2 * bigR(segments/2)}) {$\{\Omega\}_{i=1}^n$};
+\node[rotate=-.5R, right] at (-.5R: bigR segments) {$\partial \varphi$};
+\end{tikzpicture}
+\end{codeexample}
+\vfill
+
+\tikzsetfigurename{misc.calendar}\include{tikz-ext-manual-en-calendar}
+\tikzsetfigurename{misc.misc}\include{tikz-ext-manual-en-library-misc}
+
+%%% END
+\newcommand*{\addTikz}[1]{Added \tikzname\space library \texttt{ext.#1}.}
+\newcommand*{\addPGF}[1]{Added PGF library \texttt{ext.#1}.}
+\part{Changelog \& Index}
+\section*{Changelog}
+\begin{multicols}{2}
+Version 0.2
+\begin{itemize}
+\item \addTikz{positioning-plus}
+\item \addTikz{node-families}
+\end{itemize}
+
+Version 0.1
+\begin{itemize}
+\item \addTikz{calendar-plus}
+\item \addTikz{misc}
+\item \addTikz{paths.arcto}
+\item \addTikz{paths.ortho}
+\item \addTikz{paths.timer}
+\item \addTikz{patterns.images}
+\item \addTikz{topaths.arcthrough}
+\item \addTikz{transformations.mirror}
+\item \addPGF{transformations.mirror}
+\end{itemize}
+\end{multicols}
+\printindex
+
+%\typeout{Examples: \the\codeexamplecount}%
+\end{document} \ No newline at end of file
diff --git a/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-main-preamble.tex b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-main-preamble.tex
new file mode 100644
index 00000000000..238c10172f9
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-main-preamble.tex
@@ -0,0 +1,368 @@
+% !TeX spellcheck = en_US
+% !TeX root = tikz-ext-manual.tex
+% 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.
+%
+
+\usepackage[version=latest]{pgf}
+
+\usepackage{xkeyval,calc,listings,tikz,fp}
+
+\usepackage{imakeidx}
+\makeindex
+\usepackage{hyperref}
+\hypersetup{%
+ colorlinks=false, % use true to enable colors below:
+ linkcolor=blue,%red,
+ filecolor=blue,%magenta,
+ urlcolor=blue,%cyan,
+ citecolor=blue,
+ pdfborder=0 0 0,
+}
+
+\usepackage[a4paper,left=2.25cm,right=2.25cm,top=2.5cm,bottom=2.5cm,nohead,columnsep=1cm]{geometry}
+\usepackage{amsmath,amssymb}
+\usepackage{xxcolor}
+\usepackage{pifont}
+
+\usepackage[T1]{fontenc}
+% Promote `Missing character` reports to full errors
+% require texlive 2021 or above
+\tracinglostchars=3
+
+\input{pgfmanual-en-macros}
+
+\usepackage{unicode-math}
+\setmathfont[Scale=MatchUppercase]{libertinusmath-regular.otf}
+\usepackage[ttscale=.85]{libertine}
+\setmonofont[Scale=0.8]{Bitstream Vera Sans Mono}
+
+\makeatletter
+\renewcommand*\l@section[2]{%
+ \ifnum \c@tocdepth >\z@
+ \addpenalty\@secpenalty
+ \addvspace{1.0em \@plus\p@}%
+ \setlength\@tempdima{2.5em}%
+ \begingroup
+ \parindent \z@ \rightskip \@pnumwidth
+ \parfillskip -\@pnumwidth
+ \leavevmode \bfseries
+ \advance\leftskip\@tempdima
+ \hskip -\leftskip
+ #1\nobreak\hfil \nobreak\hb@xt@\@pnumwidth{\hss #2}\par
+ \endgroup
+ \fi}
+\renewcommand*\l@subsection{\@dottedtocline{2}{2.5em}{3.3em}}
+\renewcommand*\l@subsubsection{\@dottedtocline{3}{5.8em}{4.2em}}
+\def\@pnumwidth{2.2em}
+\makeatother
+
+% Global styles:
+\tikzset{
+ every plot/.style={prefix=plots/pgf-},
+ shape example/.style={
+ color=black!30,
+ draw,
+ fill=yellow!30,
+ line width=.5cm,
+ inner xsep=2.5cm,
+ inner ysep=0.5cm}
+}
+
+% Detect changed labels
+% by David Carlisle https://tex.stackexchange.com/a/169245
+\makeatletter
+\def\@testdef#1#2#3{%
+ \def\reserved@a{#3}%
+ \expandafter\ifx\csname #1@#2\endcsname\reserved@a\else
+ \typeout{^^JLabel `#2' changed:^^J\meaning\reserved@a^^J\expandafter\meaning\csname #1@#2\endcsname^^J}%
+ \@tempswatrue
+ \fi}
+\makeatother
+
+\usetikzlibrary{
+ ext.calendar-plus,
+ ext.misc,
+ ext.node-families,
+ ext.paths.arcto,
+ ext.paths.ortho,
+ ext.paths.timer,
+ ext.patterns.images,
+ ext.positioning-plus,
+ ext.topaths.arcthrough,
+ ext.transformations.mirror,
+ %
+ calc,
+ fit,
+ shapes.geometric,
+ through,
+ trees,
+}
+
+%% needs Lua!
+\usetikzlibrary{graphs,graphdrawing}
+\usegdlibrary{force}
+
+\makeatletter
+\def\endofcodeexample#1{% original from tex/latex/pgf/doc/pgfmanual-en-macros.tex by Till Tantau et al
+ \endgroup%
+ \ifpgfmanual@setup@code%
+ \gdef\pgfmanual@do@this{%
+ {%
+ \returntospace%
+ \commenthandler%
+ \xdef\code@temp{#1}% removes returns and comments
+ }%
+ \edef\pgfmanualmcatcode{\the\catcode`\^^M}%
+ \catcode`\^^M=9\relax%
+ \expandafter\scantokens\expandafter{\code@temp}%
+ \catcode`\^^M=\pgfmanualmcatcode%
+ }%
+ \fi%
+ \ifcode@hidden\else
+ \ifcode@execute%
+ \setbox\codeexamplebox=\hbox{%
+ \ifx\code@render\pgfutil@empty%
+ {%
+ {%
+ \returntospace%
+ \commenthandler%
+ \xdef\code@temp{#1}% removes returns and comments
+ }%
+ \catcode`\^^M=9%
+ \colorbox{graphicbackground}{\color{black}\ignorespaces%
+ \code@pre\expandafter\scantokens\expandafter{\code@temp\ignorespaces}\code@post\ignorespaces}%
+ }%
+ \else%
+ \global\let\code@temp\code@render%
+ \colorbox{graphicbackground}{\color{black}\ignorespaces%
+ \code@render}%
+ \fi%
+ }%
+ \ifx\code@animation@list\pgfutil@empty%
+ \else%
+ \setbox\codeexampleboxanim=\vbox{%
+ \rightskip0pt\leftskip0pt plus1filll%
+ \ifdim\wd\codeexamplebox>\codeexamplewidth%
+ \else%
+ \hsize\codeexamplewidth%
+ \advance\hsize by2cm%
+ \fi%
+ \leavevmode\catcode`\^^M=9%
+ \foreach \pgfmanualtime/\pgfmanualtimehow in\code@animation@list{%
+ \setbox\codeexampleboxanim=\hbox{\colorbox{animationgraphicbackground}{%
+ \tikzset{make snapshot of=\pgfmanualtime}%
+ \scalebox{\pgfmanualanimscale}{\color{black}\ignorespaces%
+ \code@animation@pre\expandafter\scantokens\expandafter{\code@temp\ignorespaces}\code@animation@post\ignorespaces}%
+ }}%
+ \space\raise4pt\hbox to0pt{\vrule width0pt height1em\hbox
+ to\wd\codeexampleboxanim{\hfil\scriptsize$t{=}\pgfmanualtimehow \mathrm s$\hfil}\hss}%
+ \lower\ht\codeexampleboxanim\box\codeexampleboxanim\hfil\penalty0\hskip0ptplus-1fil%
+ }%
+ }%
+ \setbox\codeexampleboxanim=\hbox{\hbox{}\hskip-2cm\box\codeexampleboxanim}%
+ \fi%
+ \ifdim\wd\codeexamplebox>\codeexamplewidth%
+ \def\code@start{\par}%
+ \def\code@flushstart{}\def\code@flushend{}%
+ \def\code@mid{\parskip2pt\par\noindent}%
+ \def\code@width{\linewidth-6pt}%
+ \def\code@end{}%
+ \else%
+ \def\code@start{%
+% \linewidth=\textwidth% removed this line
+ \parshape \@ne 0pt \linewidth
+ \leavevmode%
+ \hbox\bgroup}%
+ \def\code@flushstart{\hfill}%
+ \def\code@flushend{\hbox{}}%
+ \def\code@mid{\hskip6pt}%
+ \def\code@width{\linewidth-12pt-\codeexamplewidth}%
+ \def\code@end{\egroup}%
+ \fi%
+ \code@start%
+ \noindent%
+ \begin{minipage}[t]{\codeexamplewidth}\raggedright
+ \hrule width0pt%
+ \footnotesize\vskip-1em%
+ \code@flushstart\box\codeexamplebox\code@flushend%
+ \vskip0pt%
+ \leavevmode%
+ \box\codeexampleboxanim%
+ \vskip-1ex
+ \leavevmode%
+ \end{minipage}%
+ \else%
+ \def\code@mid{\par}
+ \def\code@width{\linewidth-6pt}
+ \def\code@end{}
+ \fi%
+ \code@mid%
+ \ifpgfmanual@multipage@code%
+ {%
+ \pgfkeysvalueof{/codeexample/prettyprint/base color}%
+ \pgfmanualdolisting{#1}%
+ }%
+ \else%
+ \colorbox{codebackground}{%
+ \pgfkeysvalueof{/codeexample/prettyprint/base color}%
+ \begin{minipage}[t]{\code@width}%
+ \pgfmanualdolisting{#1}%
+ \end{minipage}}%
+ \fi%
+ \code@end%
+ \par%
+ \medskip
+ \fi
+ \endcodeexample\endgroup%
+}
+
+\newenvironment{pathoperation'}[3][]{
+ \begin{pgfmanualentry}
+ \def\pgfmanualtest{#1}%
+ \pgfmanualentryheadline{%
+ \ifx\pgfmanualtest\@empty%
+ \pgfmanualpdflabel{#2}{}%
+ \fi%
+ %\textcolor{gray}{{\ttfamily\char`\\path}\ \ \dots}
+ %\declare{\texttt{\noligs{#2}}}#3\ \textcolor{gray}{\dots\texttt{;}}
+ }%
+ \ifx\pgfmanualtest\@empty%
+ \index{#2@\protect\texttt{#2} path operation}%
+ \index{Path operations!#2@\protect\texttt{#2}}%
+ \fi%
+ \pgfmanualbody
+}
+{
+ \end{pgfmanualentry}
+}
+\makeatother
+
+\usepackage{paracol}
+
+%% normal references
+\newcommand*{\indexLibrary}[1]{%
+ \index{#1@\protect\texttt{#1} library}%
+ \index{Libraries!#1@\protect\texttt{#1}}%
+}
+\newcommand*{\indexMathFunction}[1]{%
+ \index{#1@\protect\texttt{#1} math function}%
+ \index{Math functions!#1@\protect\texttt{#1}}%
+}
+\newcommand*{\indexShape}[1]{%
+ \index{#1@\protect\texttt{#1} shape}%
+ \index{Shapes!#1@\protect\texttt{#1}}%
+}
+\newcommand*{\indexHandler}[1]{%
+ \index{\gobble#1@\protect\texttt{#1} handler}%
+ \index{Key handlers!#1@\protect\texttt{#1}}
+}
+\newcommand*{\indexKey}[2][/tikz/]{%
+ \def\mykey{#1#2}%
+ \def\mypath{}%
+ \gdef\myname{}%
+ \decompose#1#2/\nil
+}
+\newcommand*{\indexPathOperation}[1]{%
+ \index{#1@\protect\texttt{#1} path operation}%
+ \index{Path operations!#1@\protect\texttt{#1}}%
+}
+
+%% references to original
+\newcommand*{\indexLibraryO}[1]{%
+ \index{#1@\originalprefix\protect\texttt{\original{#1}} library\originalsuffix}%
+ \index{Libraries!#1@\originalprefix\protect\texttt{\original{#1}}\originalsuffix}%
+}
+\newcommand*{\indexMathFunctionO}[1]{%
+ \index{#1@\protect\texttt{\original{#1}} math function\originalsuffix}%
+ \index{Math functions!#1@\protect\texttt{\original{#1}}\originalsuffix}%
+}
+\newcommand*{\indexShapeO}[1]{%
+ \index{#1@\originalprefix\protect\texttt{\original{#1}} shape\originalsuffix}%
+ \index{Shapes!#1@\originalprefix\protect\texttt{\original{#1}}\originalsuffix}%
+}
+\newcommand*{\indexHandlerO}[1]{%
+ \index{\gobble#1@\originalprefix\protect\texttt{\original{#1}} handler\originalsuffix}%
+ \index{Key handlers!#1@\originalprefix\protect\texttt{\original{#1}}\originalsuffix}
+}
+\newcommand*{\indexKeyO}[2][/tikz/]{%TODO
+ \begingroup\let\decomposetoodeep\decomposetoodeepO
+ \def\mykey{#1#2}%
+ \def\mypath{}%
+ \gdef\myname{}%
+ \firsttimetrue
+ \decomposeO#1#2/\nil
+ \endgroup
+}
+\def\decomposetoodeepO#1/#2/\nil{%
+ % avoid too-deep nesting in index
+ \index{#1/#2@\originalprefix\protect\texttt{\original{#1/#2}} key\originalsuffix}%
+ \index{\mypath#1/#2@\originalprefix\protect\texttt{\original{#1/#2}}\originalsuffix}%
+ \decomposefindlast/#1/#2/\nil%
+}
+\def\decomposeO/#1/#2\nil{%
+ \def\test{#2}%
+ \ifx\test\empty%
+ % aha.
+ \index{#1@\originalprefix\protect\texttt{\original{#1}} key\originalsuffix}%
+ \index{\mypath#1@\originalprefix\protect\texttt{\original{#1}}\originalsuffix}%
+ \gdef\myname{#1}%
+ \pgfmanualpdflabel{#1}{}
+ \else%
+ \advance\pgfmanualdecomposecount by1\relax%
+ \ifnum\pgfmanualdecomposecount>2\relax%
+ \decomposetoodeepO#1/#2\nil%
+ \else%
+ \iffirsttime%
+ \begingroup%
+ % also make a pdf link anchor with full key path.
+ \def\hyperlabelwithoutslash##1/\nil{%
+ \pgfmanualpdflabel{##1}{}%
+ }%
+ \hyperlabelwithoutslash/#1/#2\nil%
+ \endgroup%
+ \def\mypath{#1@\protect\texttt{/#1/}!}%
+ \firsttimefalse%
+ \else%
+ \expandafter\def\expandafter\mypath\expandafter{\mypath#1@\protect\texttt{#1/}!}%
+ \fi%
+ \def\firsttime{}%
+ \decomposeO/#2\nil%
+ \fi%
+ \fi%
+}
+\newcommand*{\indexPathOperationO}[1]{%
+ \index{#1@\originalprefix\protect\texttt{\original{#1}} path operation\originalsuffix}%
+ \index{Path operations!#1@\originalprefix\protect\texttt{\original{#1}}\originalsuffix}%
+}
+
+\newcommand*{\indexCommandO}[1]{%
+ \removeats{#1}%
+ \index{\strippedat @\originalprefix\protect\texttt{\original{\protect\string\protect#1}}\originalsuffix}%
+}
+
+\newcommand*{\referenceKeyandIndexO}[2][/tikz/]{\texttt{#1#2}\indexKeyO[#1]{#2}}%
+
+\colorlet{originalindex}{gray}
+\newcommand*{\original}[1]{\textcolor{originalindex}{#1}}
+\newcommand*{\originalsuffix}{}%\textsuperscript{\textdagger}}%\normalsize
+\newcommand*{\originalprefix}{}%\footnotesize
+
+%\newcommand*{\original}[1]{\textcolor{originalindex}{#1}}
+%\newcommand*{\original}[1]{#1}%\textcolor{originalindex}{#1}}
+%\newcommand*{\originalsuffix}{}%\textsuperscript{\color{blue}\tikzname}}
+%\DeclareRobustCommand*{\originalprefix}{\smash{\footnotesize\llap{\textbullet\space}}}
+
+\newcommand*{\filetype}[1]{\textsc{#1}}
+
+\makeatletter
+\def\index@prologue{\section*{Index}\addcontentsline{toc}{section}{Index}
+ This index contains automatically generated entries as well as {\originalprefix\original{references}\originalsuffix} to
+ original functionalities of PGF/\tikzname.
+ \bigskip
+}
+\makeatother \ No newline at end of file
diff --git a/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-pgf-trans.tex b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-pgf-trans.tex
new file mode 100644
index 00000000000..b0f0f2906d8
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual-en-pgf-trans.tex
@@ -0,0 +1,175 @@
+% !TeX spellcheck = en_US
+% !TeX root = tikz-ext-manual.tex
+% 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.
+%
+
+\section{Transformations: Mirroring}
+\label{pgflibrary:transformations}
+
+\begin{purepgflibrary}{ext.transformations.mirror}
+ This library adds mirror transformations to PGF.
+\end{purepgflibrary}
+
+Two approaches to mirror transformation exist:
+\begin{enumerate}
+\item Using the reflection matrix (see left column).
+
+ This depends on |\pgfpointnormalised|\indexCommandO\pgfpointnormalised which involves
+ the sine\indexMathFunctionO{sin} and the cosine\indexMathFunctionO{cos} functions of PGFmath.
+
+\item Using built-in transformations (see right column).
+
+ This depends on |\pgfmathanglebetween|\indexCommandO\pgfmathanglebetween which involves the arctangent (|atan2|\indexMathFunctionO{atan2}) function of PGFmath.
+\end{enumerate}
+
+Which one is better? I don't know.
+Choose one you're comfortable with.
+
+\begin{paracol}{2}
+
+\subsection{Using the reflection matrix}
+
+The following commands use the reflection matrix that sets the transformation matrix following
+\begin{equation*}
+ A = \frac{1}{\Vert\vec l\Vert^2} \begin{bmatrix}
+ l_x^2-l_y^2 & 2l_xl_y \\
+ 2l_xl_y & l_y^2-l_x^2\\
+ \end{bmatrix}.
+\end{equation*}
+
+\switchcolumn% >
+
+\stepcounter{subsection}
+\subsection{Using built-in transformations}
+
+The following commands use a combination of shifting, rotating, $-1$ scaling,
+rotating back and shifting back to reach the mirror transformation.
+
+The commands are named the same as on the left side,
+only the |m| in |mirror| is capitalized.
+
+\switchcolumn*% <
+
+\begin{command}{\pgftransformxmirror\marg{value}}
+ Sets up a transformation that mirrors along a vertical line that goes through point $(\text{\meta{value}}, 0)$.
+
+\begin{codeexample}[preamble=\usepgflibrary{transformations.mirror}]
+\begin{tikzpicture}
+\draw[help lines] (-0.25, -.25) grid (3.25, 1.25);
+\draw[-latex] (0,0) .. controls (.5,1) .. (1,1);
+
+\draw[dashed] (1.5, -.25) -- (1.5, 1.25);
+\pgftransformxmirror{1.5}
+
+\draw[-latex] (0,0) .. controls (.5,1) .. (1,1);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\switchcolumn% >
+
+\begin{command}{\pgftransformxMirror\marg{value}}
+ Sets up a transformation that mirrors along a vertical line that goes through point $(\text{\meta{value}}, 0)$.
+
+\begin{codeexample}[preamble=\usepgflibrary{transformations.mirror}]
+\begin{tikzpicture}
+\draw[help lines] (-0.25, -.25) grid (3.25, 1.25);
+\draw[-latex] (0,0) .. controls (.5,1) .. (1,1);
+
+\draw[dashed] (1.5, -.25) -- (1.5, 1.25);
+\pgftransformxMirror{1.5}
+
+\draw[-latex] (0,0) .. controls (.5,1) .. (1,1);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\switchcolumn*% <
+
+\begin{command}{\pgftransformymirror\marg{value}}
+ Sets up a transformation that mirrors along a horizontal line that goes through point $(0, \text{\meta{value})}$.
+\end{command}
+
+\begin{command}{\pgftransformmirror\marg{point A}\marg{point B}}
+ Sets up a transformation that mirrors along the line that goes through \meta{point A} and \meta{point B}.
+
+\begin{codeexample}[preamble=\usepgflibrary{transformations.mirror}]
+\begin{tikzpicture}
+\draw[help lines] (-.25, -2.25) grid (2.5, 1.25);
+\draw[-latex] (0,0) .. controls (.5,1) .. (1,1);
+
+\draw[dashed] (0, -1) -- (2, 0);
+\pgftransformmirror{\pgfpointxy{0}{-1}}
+ {\pgfpointxy{2}{ 0}}
+
+\draw[-latex] (0,0) .. controls (.5,1) .. (1,1);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\switchcolumn% >
+
+\begin{command}{\pgftransformyMirror\marg{value}}
+ Sets up a transformation that mirrors along a horizontal line that goes through point $(0, \text{\meta{value})}$.
+\end{command}
+
+\begin{command}{\pgftransformMirror\marg{point A}\marg{point B}}
+ Sets up a transformation that mirrors along the line that goes through \meta{point A} and \meta{point B}.
+
+\begin{codeexample}[preamble=\usepgflibrary{transformations.mirror}]
+\begin{tikzpicture}
+\draw[help lines] (-.25, -2.25) grid (2.5, 1.25);
+\draw[-latex] (0,0) .. controls (.5,1) .. (1,1);
+
+\draw[dashed] (0, -1) -- (2, 0);
+\pgftransformMirror{\pgfpointxy{0}{-1}}
+ {\pgfpointxy{2}{ 0}}
+
+\draw[-latex] (0,0) .. controls (.5,1) .. (1,1);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\switchcolumn*% <
+
+\begin{command}{\pgfqtransformmirror\marg{point A}}
+ Sets up a transformation that mirrors along the line that goes through the origin and \meta{point A}.
+
+\begin{codeexample}[preamble=\usepgflibrary{transformations.mirror}]
+\begin{tikzpicture}
+\draw[help lines] (-.25, -.25) grid (2.25, 1.25);
+\draw[-latex] (0,0) .. controls (.5,1) .. (1,1);
+
+\draw[dashed] (0, 0) -- (2, 1);
+\pgfqtransformmirror{\pgfpointxy{2}{1}}
+
+\draw[-latex] (0,0) .. controls (.5,1) .. (1,1);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\switchcolumn
+
+\begin{command}{\pgfqtransformMirror\marg{point A}}
+ Sets up a transformation that mirrors along the line that goes through the origin and \meta{point A}.
+
+\begin{codeexample}[preamble=\usepgflibrary{transformations.mirror}]
+\begin{tikzpicture}
+\draw[help lines] (-.25, -.25) grid (2.25, 1.25);
+\draw[-latex] (0,0) .. controls (.5,1) .. (1,1);
+
+\draw[dashed] (0, 0) -- (2, 1);
+\pgfqtransformMirror{\pgfpointxy{2}{1}}
+
+\draw[-latex] (0,0) .. controls (.5,1) .. (1,1);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\end{paracol}
+\endinput
diff --git a/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual.pdf b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual.pdf
new file mode 100644
index 00000000000..7879c7cd9be
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual.pdf
Binary files differ
diff --git a/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual.tex b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual.tex
new file mode 100644
index 00000000000..2375904d805
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tikz-ext/tikz-ext-manual.tex
@@ -0,0 +1,33 @@
+% !TeX TS-program = lualatex
+% !TeX spellcheck = en_US
+% !TeX root = tikz-ext-manual.tex
+% arara: lualatex
+% 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.
+%
+
+\documentclass[a4paper,doc2,landscape]{ltxdoc}
+
+\input{tikz-ext-manual-en-main-preamble.tex}
+\usetikzlibrary{external}
+%\newif\iftikzextmanualexternalize
+%\tikzextmanualexternalizetrue
+%\iftikzextmanualexternalize
+ \tikzexternalize[
+ prefix=tikz/,
+% prefix=../../tikz-extensions-tikz/,
+% mode=convert with system call,
+ %mode=list and make,
+ %mode=list only,export=true,% simply skips EVERY picture -> good for debugging the text.
+ ]
+ \tikzexternalenable
+ \tikzifexternalizing{%
+ \pgfkeys{/pdflinks/codeexample links=false}%
+ }{}%
+%\fi
+
+\input{tikz-ext-manual-en-main-body.tex}
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
diff --git a/Master/tlpkg/bin/tlpkg-ctan-check b/Master/tlpkg/bin/tlpkg-ctan-check
index 0bb79c813ce..5e5600b0d7d 100755
--- a/Master/tlpkg/bin/tlpkg-ctan-check
+++ b/Master/tlpkg/bin/tlpkg-ctan-check
@@ -792,7 +792,7 @@ my @TLP_working = qw(
thuaslogos thubeamer thucoursework thumb thumbpdf thumbs thumby thuthesis
ticket ticollege
tikz-3dplot tikz-among-us tikz-bagua tikz-bayesnet tikz-bbox
- tikz-cd tikz-dependency tikz-dimline
+ tikz-cd tikz-dependency tikz-dimline tikz-ext
tikz-feynhand tikz-feynman tikz-imagelabels tikz-inet
tikz-kalender tikz-karnaugh tikz-ladder tikz-lake-fig tikz-layers
tikz-nef tikz-network tikz-opm tikz-optics
diff --git a/Master/tlpkg/libexec/ctan2tds b/Master/tlpkg/libexec/ctan2tds
index 69f66a6f8a0..7c4f433b6a0 100755
--- a/Master/tlpkg/libexec/ctan2tds
+++ b/Master/tlpkg/libexec/ctan2tds
@@ -1371,6 +1371,7 @@ chomp (my $ctan_root = `tlpkginfo --ctan-root`);
'ticket', "&MAKEflatten",
'ticollege', "&MAKEflatten",
'tikz-among-us',"&MAKEflatten",
+ 'tikz-ext', " &MAKEflatten",
'tikz-kalender',"&MAKEflatten",
'tikz-karnaugh',"&MAKEflatten",
'tikz-ladder', "&MAKEflatten",
@@ -2345,7 +2346,7 @@ $standardtex
'thubeamer', 'thulogo.pdf|' . $standardtex,
'ticket', '\.tdf|' . $standardtex,
'tikz-cd', 'tikz-cd.sty|tikzlibrarycd.code.tex', # not pgfmanual.sty
- 'tikz-karnaugh', '\.code\.tex$',
+ 'tikz-ext', 'pgfcalendar-ext\.tex$|' . $standardtex,
'tikz-qtree', '(pgf|tikz-)(subpic|q?tree(-compat)?)\.(tex|sty)',
'tikz-sfc', '\.code\.tex$',
'tikz-trackschematic', '\.code\.tex$|tic\.sty$', # not *documentation.sty
diff --git a/Master/tlpkg/tlpsrc/collection-pictures.tlpsrc b/Master/tlpkg/tlpsrc/collection-pictures.tlpsrc
index edb00f52241..8ba05ef684f 100644
--- a/Master/tlpkg/tlpsrc/collection-pictures.tlpsrc
+++ b/Master/tlpkg/tlpsrc/collection-pictures.tlpsrc
@@ -168,6 +168,7 @@ depend tikz-bbox
depend tikz-cd
depend tikz-dependency
depend tikz-dimline
+depend tikz-ext
depend tikz-feynhand
depend tikz-feynman
depend tikz-imagelabels
diff --git a/Master/tlpkg/tlpsrc/tikz-ext.tlpsrc b/Master/tlpkg/tlpsrc/tikz-ext.tlpsrc
new file mode 100644
index 00000000000..e69de29bb2d
--- /dev/null
+++ b/Master/tlpkg/tlpsrc/tikz-ext.tlpsrc