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authorNorbert Preining <norbert@preining.info>2022-08-17 03:00:52 +0000
committerNorbert Preining <norbert@preining.info>2022-08-17 03:00:52 +0000
commitc384cf2662c6574dc248ae20a9276cacf20320f6 (patch)
tree2a719b425428d6e7de07bde420534be13ea788a2 /graphics/pgf/contrib
parentdeb51d400db4c69df1cef442643a6b94428a2211 (diff)
CTAN sync 202208170300
Diffstat (limited to 'graphics/pgf/contrib')
-rw-r--r--graphics/pgf/contrib/tikz-ext/README.md26
-rw-r--r--graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-intro.tex19
-rw-r--r--graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-misc.tex267
-rw-r--r--graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-paths.arcto.tex107
-rw-r--r--graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-paths.ortho.tex138
-rw-r--r--graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-paths.timer.tex116
-rw-r--r--graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-patterns.images.tex50
-rw-r--r--graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-topaths.arcthrough.tex60
-rw-r--r--graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-trans.tex134
-rw-r--r--graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-main-body.tex127
-rw-r--r--graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-main-preamble.tex105
-rw-r--r--graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-pgf-trans.tex157
-rw-r--r--graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual.pdfbin0 -> 233128 bytes
-rw-r--r--graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual.tex31
-rw-r--r--graphics/pgf/contrib/tikz-ext/pgflibrarytransformations.mirror.code.tex96
-rw-r--r--graphics/pgf/contrib/tikz-ext/tikzlibrarymisc.code.tex251
-rw-r--r--graphics/pgf/contrib/tikz-ext/tikzlibrarypaths.arcto.code.tex104
-rw-r--r--graphics/pgf/contrib/tikz-ext/tikzlibrarypaths.ortho.code.tex183
-rw-r--r--graphics/pgf/contrib/tikz-ext/tikzlibrarypaths.ortho.tex509
-rw-r--r--graphics/pgf/contrib/tikz-ext/tikzlibrarypaths.timer.code.tex188
-rw-r--r--graphics/pgf/contrib/tikz-ext/tikzlibrarypatterns.images.code.tex53
-rw-r--r--graphics/pgf/contrib/tikz-ext/tikzlibrarytopaths.arcthrough.code.tex50
-rw-r--r--graphics/pgf/contrib/tikz-ext/tikzlibrarytransformations.mirror.code.tex70
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diff --git a/graphics/pgf/contrib/tikz-ext/README.md b/graphics/pgf/contrib/tikz-ext/README.md
new file mode 100644
index 0000000000..23910ccef1
--- /dev/null
+++ b/graphics/pgf/contrib/tikz-ext/README.md
@@ -0,0 +1,26 @@
+# 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
+
+ * `transformations.mirror`,
+ * `paths.arcto`,
+ * `paths.ortho`,
+ * `paths.timer`,
+ * `patterns.images`,
+ * `topaths.arcthrough` and
+ * `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/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-intro.tex b/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-intro.tex
new file mode 100644
index 0000000000..5c90d0f5bf
--- /dev/null
+++ b/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-intro.tex
@@ -0,0 +1,19 @@
+\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/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-misc.tex b/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-misc.tex
new file mode 100644
index 0000000000..dc9103b699
--- /dev/null
+++ b/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-misc.tex
@@ -0,0 +1,267 @@
+% !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.
+%
+
+\begin{tikzlibrary}{misc}
+ This library adds miscelleaneos utilities to PGFmath, PGF or \tikzname.
+\end{tikzlibrary}
+
+\section{PGFmath}
+
+\subsection{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}
+
+\subsection{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| which makes it easier to use
+ the |\p| commands of the |calc| library.
+ \index{atan2@\protect\texttt{atan2} math function}%
+ \index{Math functions!atan2@\protect\texttt{atan2}}%
+ %
+\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}
+
+\subsection{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}
+\begin{codeexample}[width=6cm,preamble=\usetikzlibrary{calc,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}
+\section{PGFkeys}
+
+\subsection{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}
+
+
+\subsection{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=6cm,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.
+\begin{codeexample}[width=6cm,preamble=\usetikzlibrary{fit,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}
+\end{handler}
+\begin{center}
+\begin{codeexample}[width=10cm,preamble=\usetikzlibrary{graphs,graphdrawing} \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}
+
+\section{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}| o|\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/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-paths.arcto.tex b/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-paths.arcto.tex
new file mode 100644
index 0000000000..f219f34691
--- /dev/null
+++ b/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-paths.arcto.tex
@@ -0,0 +1,107 @@
+% !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}{paths.arcto}
+ This library adds new path specifications |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{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 only takes effect when |x radius| and |y radius| is different.
+\end{key}
+
+\begin{key}{/tikz/arc to/x radius=\meta{value}}
+ This forwards the \meta{value} to |/tikz/x radius|.
+\end{key}
+
+\begin{key}{/tikz/arc to/y radius=\meta{value}}
+ This forwards the \meta{value} to |/tikz/y radius|.
+\end{key}
+
+\begin{key}{/tikz/arc to/radius=\meta{value}}
+ This forwards the \meta{value} to both |/tikz/x radius| and |/tikz/y radius|.
+\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| where the \tikzname\space manual warns of:
+\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/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-paths.ortho.tex b/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-paths.ortho.tex
new file mode 100644
index 0000000000..32adea7af0
--- /dev/null
+++ b/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-paths.ortho.tex
@@ -0,0 +1,138 @@
+% !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}{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
+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]
+\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.
+\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{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, 1.5) -|-[distance=-.5cm] ++(2, 1);
+
+\tikzset{xshift=3cm}
+\draw (2, 1) -|-[distance= .5cm] ++(-2, -1);
+\draw (2, 2.5) -|-[distance=-.5cm] ++(-2, -1);
+\end{tikzpicture}
+\end{codeexample}
+\end{key}
+\begin{key}{/tikz/hvvh/from center=\opt{\meta{true or false}} (initially 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,
+ \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} \ No newline at end of file
diff --git a/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-paths.timer.tex b/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-paths.timer.tex
new file mode 100644
index 0000000000..d3670726d7
--- /dev/null
+++ b/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-paths.timer.tex
@@ -0,0 +1,116 @@
+% !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.
+%
+\makeatletter
+\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
+\section{Extending the Path Timers}
+\label{library:timer}
+
+\begin{tikzlibrary}{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}
+%\index{Path operations!\protect\texttt{rectangle}}%
+%\index{\texttt{rectangle} path operation}%
+\begin{pathoperation'}{rectangle}{}\end{pathoperation'}
+
+For the |rectangle| path operator, the timer starts with |pos = 0| (= |at start|) from
+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{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}
+\index{Path operations!\protect\texttt{parabola}}%
+\index{\texttt{parabola} path operation}%
+
+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{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{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}
+\index{Path operations!\protect\texttt{sin}}%
+\index{Path operations!\protect\texttt{cos}}%
+\index{\texttt{sin} path operation}%
+\index{\texttt{cos} path operation}%
+
+The |sin| and |cos| path operators also allow placing of nodes along their paths.
+
+\begin{codeexample}[width=.3\linewidth,preamble=\usetikzlibrary{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/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-patterns.images.tex b/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-patterns.images.tex
new file mode 100644
index 0000000000..2c02b157a9
--- /dev/null
+++ b/graphics/pgf/contrib/tikz-ext/doc/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}{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{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|,
+only keys from |/pgf/text| should be used.
+\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/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-topaths.arcthrough.tex b/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-topaths.arcthrough.tex
new file mode 100644
index 0000000000..10b125a39b
--- /dev/null
+++ b/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-topaths.arcthrough.tex
@@ -0,0 +1,60 @@
+% !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}{topaths.arcthrough}
+ This library allows to use an arc defined by three points.
+\end{tikzlibrary}
+
+\begin{codeexample}[width=10cm,preamble=\usetikzlibrary{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{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 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| or |edge|.
+ A parameter other than |center suffix|, |clockwise| or |counter clockwise| will
+ be assumed to be the |through| coordinate.
+\end{key}
diff --git a/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-trans.tex b/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-trans.tex
new file mode 100644
index 0000000000..ef1fb70ac2
--- /dev/null
+++ b/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-library-trans.tex
@@ -0,0 +1,134 @@
+% 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}{transformations.mirror}
+ This library adds more transformations to \tikzname.
+\end{tikzlibrary}
+
+As explained in section~\ref{pgflibrary:transformations}, they are two approaches to setting a mirror transformation.
+As with the commands in PGF, we'll be using lowercase |m| for the ``Spiegelungsmatrix'' and uppercase |M| for the built-in approach.
+
+\subsection{Using the ``Spiegelungsmatrix''}
+
+\begin{codeexample}[width=.4\linewidth,preamble=\usetikzlibrary{shapes.geometric,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{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{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,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{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{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 \ No newline at end of file
diff --git a/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-main-body.tex b/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-main-body.tex
new file mode 100644
index 0000000000..10deb02792
--- /dev/null
+++ b/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-main-body.tex
@@ -0,0 +1,127 @@
+% !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{0.1}
+
+%\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}
+\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}
+
+\include{tikz-ext-manual-en-library-paths.arcto}
+\include{tikz-ext-manual-en-library-paths.ortho}
+\include{tikz-ext-manual-en-library-paths.timer}
+\include{tikz-ext-manual-en-library-patterns.images}
+\include{tikz-ext-manual-en-library-topaths.arcthrough}
+\include{tikz-ext-manual-en-library-trans}
+
+\part{PGF Libraries}
+\label{part:pgf}
+These libraries (should) work with both PGF and \tikzname.
+
+\include{tikz-ext-manual-en-pgf-trans}
+
+\part{Miscellaneous}
+
+\label{part:misc}
+\vfill
+\begin{codeexample}[width=6cm, preamble=\usetikzlibrary{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
+
+\include{tikz-ext-manual-en-library-misc}
+
+%%% END
+\printindex
+
+%\typeout{Examples: \the\codeexamplecount}%
+\end{document} \ No newline at end of file
diff --git a/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-main-preamble.tex b/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-main-preamble.tex
new file mode 100644
index 0000000000..a1897bbf70
--- /dev/null
+++ b/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-main-preamble.tex
@@ -0,0 +1,105 @@
+% !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{
+ misc,
+ paths.arcto,
+ paths.ortho,
+ paths.timer,
+ patterns.images,
+ topaths.arcthrough,
+ transformations.mirror,
+ %
+ calc,
+ fit,
+ shapes.geometric,
+ through,
+ trees,
+}
+
+%% needs Lua!
+\usetikzlibrary{graphs,graphdrawing}
+\usegdlibrary{force}
diff --git a/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-pgf-trans.tex b/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-pgf-trans.tex
new file mode 100644
index 0000000000..3788e0c9a4
--- /dev/null
+++ b/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual-en-pgf-trans.tex
@@ -0,0 +1,157 @@
+% !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{pgflibrary}{transformations.mirror}
+ This library adds mirror transformations to PGF.
+\end{pgflibrary}
+
+Two approaches to mirror transformation exist:
+\begin{enumerate}
+\item Using the ``Spiegelmatrix`` (see section~\ref{pgflibrary:transformations:spiegelungsmatrix}).
+
+ This depends on |\pgfpointnormalised| which involves the sine and the cosine functions of PGFmath.
+
+\item Using built-in transformations (see section~\ref{pgflibrary:transformations:builtin}).
+
+ This depends on |\pgfmathanglebetween| which involves the arctangent (|atan2|) function of PGFmath.
+\end{enumerate}
+
+Which one is better? I don't know.
+Choose one you're comfortable with.
+
+\subsection{Using the ``Spiegelungsmatrix''}
+\label{pgflibrary:transformations:spiegelungsmatrix}
+
+The following commands use the ``Spiegelungsmatrix'' 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*}
+
+
+\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}
+
+\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}
+
+\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}
+
+
+\subsection{Using built-in transformations}
+\label{pgflibrary:transformations:builtin}
+
+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 above, only the |m| in |mirror| is capitalized.
+
+
+\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}
+
+\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}
+
+\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}
+
+\endinput \ No newline at end of file
diff --git a/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual.pdf b/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual.pdf
new file mode 100644
index 0000000000..57ce1debf8
--- /dev/null
+++ b/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual.pdf
Binary files differ
diff --git a/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual.tex b/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual.tex
new file mode 100644
index 0000000000..1b9754d629
--- /dev/null
+++ b/graphics/pgf/contrib/tikz-ext/doc/tikz-ext-manual.tex
@@ -0,0 +1,31 @@
+% !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=doc/tikz/,
+ mode=graphics if exists,
+ %mode=list and make,
+ %mode=list only,export=true,% simply skips EVERY picture -> good for debugging the text.
+ ]
+ \tikzifexternalizing{%
+ \pgfkeys{/pdflinks/codeexample links=false}%
+ }{}%
+\fi
+
+\input{tikz-ext-manual-en-main-body.tex}
diff --git a/graphics/pgf/contrib/tikz-ext/pgflibrarytransformations.mirror.code.tex b/graphics/pgf/contrib/tikz-ext/pgflibrarytransformations.mirror.code.tex
new file mode 100644
index 0000000000..4d962ccb1c
--- /dev/null
+++ b/graphics/pgf/contrib/tikz-ext/pgflibrarytransformations.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/graphics/pgf/contrib/tikz-ext/tikzlibrarymisc.code.tex b/graphics/pgf/contrib/tikz-ext/tikzlibrarymisc.code.tex
new file mode 100644
index 0000000000..b68520081c
--- /dev/null
+++ b/graphics/pgf/contrib/tikz-ext/tikzlibrarymisc.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/graphics/pgf/contrib/tikz-ext/tikzlibrarypaths.arcto.code.tex b/graphics/pgf/contrib/tikz-ext/tikzlibrarypaths.arcto.code.tex
new file mode 100644
index 0000000000..213fc1b74a
--- /dev/null
+++ b/graphics/pgf/contrib/tikz-ext/tikzlibrarypaths.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/graphics/pgf/contrib/tikz-ext/tikzlibrarypaths.ortho.code.tex b/graphics/pgf/contrib/tikz-ext/tikzlibrarypaths.ortho.code.tex
new file mode 100644
index 0000000000..8f322fbd35
--- /dev/null
+++ b/graphics/pgf/contrib/tikz-ext/tikzlibrarypaths.ortho.code.tex
@@ -0,0 +1,183 @@
+% 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:
+\input tikzlibrarypaths.ortho.tex
+
+%% 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/graphics/pgf/contrib/tikz-ext/tikzlibrarypaths.ortho.tex b/graphics/pgf/contrib/tikz-ext/tikzlibrarypaths.ortho.tex
new file mode 100644
index 0000000000..2c4aae04c2
--- /dev/null
+++ b/graphics/pgf/contrib/tikz-ext/tikzlibrarypaths.ortho.tex
@@ -0,0 +1,509 @@
+% 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.
+%
+
+\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}%
+\endinput
diff --git a/graphics/pgf/contrib/tikz-ext/tikzlibrarypaths.timer.code.tex b/graphics/pgf/contrib/tikz-ext/tikzlibrarypaths.timer.code.tex
new file mode 100644
index 0000000000..3a4d30e68f
--- /dev/null
+++ b/graphics/pgf/contrib/tikz-ext/tikzlibrarypaths.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/graphics/pgf/contrib/tikz-ext/tikzlibrarypatterns.images.code.tex b/graphics/pgf/contrib/tikz-ext/tikzlibrarypatterns.images.code.tex
new file mode 100644
index 0000000000..7cad25e42b
--- /dev/null
+++ b/graphics/pgf/contrib/tikz-ext/tikzlibrarypatterns.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/graphics/pgf/contrib/tikz-ext/tikzlibrarytopaths.arcthrough.code.tex b/graphics/pgf/contrib/tikz-ext/tikzlibrarytopaths.arcthrough.code.tex
new file mode 100644
index 0000000000..d90a2edc78
--- /dev/null
+++ b/graphics/pgf/contrib/tikz-ext/tikzlibrarytopaths.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/graphics/pgf/contrib/tikz-ext/tikzlibrarytransformations.mirror.code.tex b/graphics/pgf/contrib/tikz-ext/tikzlibrarytransformations.mirror.code.tex
new file mode 100644
index 0000000000..7b5b02f722
--- /dev/null
+++ b/graphics/pgf/contrib/tikz-ext/tikzlibrarytransformations.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{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