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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/texmf-dist/doc/latex
parenteeb0bb042dd18dab84dab64eb6c07272aaa56eac (diff)
tikz-ext (22aug22)
git-svn-id: svn://tug.org/texlive/trunk@64166 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/doc/latex')
-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
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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}