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authorNorbert Preining <norbert@preining.info>2021-01-28 03:01:03 +0000
committerNorbert Preining <norbert@preining.info>2021-01-28 03:01:03 +0000
commit580a384585ecc80778ebca5845ce3bd7ae60cb48 (patch)
tree31feee0337728a2e742fddbdefd62ffc17c45008 /graphics/pgf/contrib/sankey
parent71fd3749ed2ec982d2ef2863bf8e99760d33b562 (diff)
CTAN sync 202101280301
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-rw-r--r--graphics/pgf/contrib/sankey/sankey-doc.tex1599
-rw-r--r--graphics/pgf/contrib/sankey/sankey.sty722
-rw-r--r--graphics/pgf/contrib/sankey/tikzlibrarydubins.code.tex361
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diff --git a/graphics/pgf/contrib/sankey/README b/graphics/pgf/contrib/sankey/README
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+sankey
+======
+
+LaTeX package to build Sankey diagram.
+
+
+license
+=======
+
+Copyright (C) 2016-2021 by Paul Gaborit
+
+This file may be distributed and/or modified
+
+ 1. under the LaTeX Project Public License and/or
+
+ 2. under the GNU Public License.
diff --git a/graphics/pgf/contrib/sankey/sankey-doc.pdf b/graphics/pgf/contrib/sankey/sankey-doc.pdf
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+% -*- coding: utf-8; -*-
+
+% Copyright (C) 2016-2021 by Paul Gaborit
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+%
+% 2. under the GNU Public License.
+
+\documentclass[a4paper,onecolumn,10pt]{article}
+%\usepackage[rgb]{xcolor}
+\usepackage[paper=a4paper,vmargin=1.5cm,hmargin=4cm]{geometry}
+\usepackage[utf8]{inputenc}
+\usepackage[T1]{fontenc}
+\usepackage{xcolor}
+\usepackage[colorlinks]{hyperref}
+\usepackage{fancyvrb}
+\usepackage{listings}
+\usepackage{enumitem}
+\usepackage{pgfilecontents}
+\usepackage{microtype}
+\usepackage{bookmark}
+\usepackage{cmap}
+\usepackage{sankey}
+\usepackage{siunitx}
+\usepackage{mdframed}
+\usepackage{footnote}
+\usepackage{accsupp}
+\usetikzlibrary{positioning,patterns.meta}
+\usepackage[british]{babel}
+
+\colorlet{fondcode}{gray!5!white}
+\colorlet{keyword}{blue!50!cyan!50!black}
+\colorlet{comment}{red!75!black}
+
+\newcommand\emptyaccsupp[1]{\BeginAccSupp{ActualText={}}#1\EndAccSupp{}}
+
+\lstset{
+ literate=
+ {á}{{\'a}}1 {é}{{\'e}}1 {í}{{\'i}}1 {ó}{{\'o}}1 {ú}{{\'u}}1
+ {Á}{{\'A}}1 {É}{{\'E}}1 {Í}{{\'I}}1 {Ó}{{\'O}}1 {Ú}{{\'U}}1
+ {à}{{\`a}}1 {è}{{\`e}}1 {ì}{{\`i}}1 {ò}{{\`o}}1 {ù}{{\`u}}1
+ {À}{{\`A}}1 {È}{{\'E}}1 {Ì}{{\`I}}1 {Ò}{{\`O}}1 {Ù}{{\`U}}1
+ {ä}{{\"a}}1 {ë}{{\"e}}1 {ï}{{\"i}}1 {ö}{{\"o}}1 {ü}{{\"u}}1
+ {Ä}{{\"A}}1 {Ë}{{\"E}}1 {Ï}{{\"I}}1 {Ö}{{\"O}}1 {Ü}{{\"U}}1
+ {â}{{\^a}}1 {ê}{{\^e}}1 {î}{{\^i}}1 {ô}{{\^o}}1 {û}{{\^u}}1
+ {Â}{{\^A}}1 {Ê}{{\^E}}1 {Î}{{\^I}}1 {Ô}{{\^O}}1 {Û}{{\^U}}1
+ {œ}{{\oe}}1 {Œ}{{\OE}}1 {æ}{{\ae}}1 {Æ}{{\AE}}1 {ß}{{\ss}}1
+ {ç}{{\c c}}1 {Ç}{{\c C}}1 {ø}{{\o}}1 {å}{{\r a}}1 {Å}{{\r A}}1
+ {€}{{\texteuro}}1 {£}{{\pounds}}1 {°}{{\degres}}1
+ {’}{{\textquoteright}}1 {‘}{{\textquoteleft}}1
+ {«}{{<<}}1 {»}{{>>}}1
+ {—}{{---}}1 {−}{{$-$}}1
+}
+
+\lstset{
+ fancyvrb=true,
+ %fvcmdparams=samepage,
+ escapechar=`, % pour introduire du latex dans un environnement verbatim
+ extendedchars=true,
+ fontadjust=true,
+ columns=fullflexible, % pour pouvoir copier/coller les chaines de caractères
+ flexiblecolumns=true,
+ % frame=leftline,
+ inputencoding=utf8,
+ keepspaces=true, % keeps spaces in text, code indentation
+ backgroundcolor=\color{fondcode},
+ basicstyle=\mdseries\ttfamily,
+ keywordstyle=\color{keyword}\bfseries,%
+ stringstyle=\ttfamily\color{green!50!black},%
+ commentstyle=\color{comment}\itshape,%
+ emphstyle=\bfseries\color{red},
+ numbersep=5pt,
+ %numbers=left,
+ numberstyle=\tiny\emptyaccsupp,
+ showstringspaces=false,
+ upquote=true, % pour pouvoir copier/coller le code avec des quotes
+ aboveskip=\parskip,
+ belowskip=\parskip,
+ framexleftmargin=1pt,
+ framexrightmargin=1pt,
+}
+
+\lstdefinestyle{textsmall}{basicstyle=\color{black}\small\mdseries\ttfamily}
+\lstdefinestyle{textfootnotesize}{basicstyle=\color{black}\footnotesize\mdseries\ttfamily}
+\lstdefinestyle{textscriptsize}{basicstyle=\color{black}\scriptsize\mdseries\ttfamily}
+\lstdefinestyle{texttiny}{basicstyle=\color{black}\tiny\mdseries\ttfamily}
+
+\lstdefinestyle{LaTeX}{
+ language=[LaTeX]TeX,
+ %backgroundcolor=\color{latexbg},
+ moretexcs={
+ coordinate,
+ definecolor,
+ draw,
+ fill,
+ foreach,
+ hashband,
+ node,
+ sankeyadvance,
+ sankeydubins,
+ sankeyend,
+ sankeyend,
+ sankeyfork,
+ sankeynode,
+ sankeynodealias,
+ sankeynodeend,
+ sankeynodestart,
+ sankeyoutin,
+ sankeyset,
+ sankeystart,
+ sankeyturn,
+ sisetup,
+ tikzset,
+ turnandstop,
+ usepackage,
+ }
+}
+\lstdefinestyle{LaTeXsmall}{style=LaTeX,style=textsmall}
+\lstdefinestyle{LaTeXfootnotesize}{style=LaTeX,style=textfootnotesize}
+\lstdefinestyle{LaTeXscriptsize}{style=LaTeX,style=textscriptsize}
+\lstdefinestyle{LaTeXtiny}{style=LaTeX,style=texttiny}
+
+\def\code{\lstinline[basicstyle=\mdseries\ttfamily\color{red!50!black}]}
+
+\edef\samplecodename{\jobname-code.vrb}
+
+\newcommand\constant[1]{\textcolor{violet}{\texttt{#1}}}
+\newcommand\ARG[1]{\texttt{\{#1\}}}
+\newcommand\OPTARG[1]{\textcolor{green!50!black}{\texttt{[#1]}}}
+\newcommand\VAR[1]{\textit{\texttt{<#1>}}}
+\newcommand\NOTE[1]{\leavevmode\marginpar{#1}}
+
+\makeatletter
+\def\mynobreakpar{\par\nobreak\@afterheading}
+\makeatother
+\def\docprefix#1{\texttt{\textcolor{gray}{#1}}}
+\def\sankeykeysprefix{/sankey}
+
+\newenvironment{sankeyoption}[5][]{% [prefix] key, val, default, initially
+ % \begingroup
+ \bgroup%
+ %
+ \def\path{#1}%
+ \def\key{#2}%
+ \def\val{#3}%
+ \def\default{#4}%
+ \def\initially{#5}%
+ %\setlength\parindent{\dimexpr.5\parindent\relax}%
+ % \vspace{.25\baselineskip plus .25\baselineskip minus 0mm}
+ \parfillskip 0pt plus 1fil%
+ \leavevmode%
+ \ttfamily%
+ \hspace*{-1cm}\textcolor{red!75!black}{\texttt{\docprefix{\ifdefempty{\path}{\sankeykeysprefix/}{\path/}}\key}}%
+ \ifdefempty{\val}{}{=\textit{\val}}%
+ \hfill
+ \ifdefempty{\default}{\null}{(default:\,\constant{\default})}%
+ \ifdefempty{\initially}{\null}{(initially:\,\constant{\initially})}%
+ \mynobreakpar\egroup%
+ \parskip=.5\baselineskip plus .25\baselineskip minus .25\baselineskip
+ \parfillskip=30pt plus 1fil
+ \itemize[topsep=0pt,partopsep=0pt,itemsep=0pt]\item[]
+}{%
+ \enditemize%
+}
+
+\newcommand\MACRO{\hspace*{-1cm}}
+
+\newlist{sankeyconstantsdesc}{description}{1}
+\setlist[sankeyconstantsdesc]{align=right,labelindent=1.5em,labelsep=.5em,leftmargin=!,font=\normalfont}
+
+\newlength{\myparskip}
+\setlength{\myparskip}{.75\baselineskip plus 8\baselineskip minus .25\baselineskip}
+\usepackage[skip=\myparskip]{parskip}
+%\setlength{\parskip}{\myparskip}
+\newenvironment{miniblock}{%
+ \vspace{.5\parskip}%
+ \csname minipage*\endcsname[t]{1.0\linewidth}%
+ \setlength{\parskip}{\myparskip}%
+}{%
+ \csname endminipage*\endcsname%
+}
+
+
+\makeatletter
+\title{How to use the \texttt{sankey} package\\ to build Sankey diagrams\footnote{This file described version v\sankey@version.}}
+\date{Released \sankey@date}
+\author{Paul Gaborit\footnote{\href{mailto:paul.gaborit@gmail.com}{\texttt{paul.gaborit@gmail.com}}}}
+
+\hypersetup{
+ pdftitle=How to use the sankey package to buid Sankey diagrams (v\sankey@version),
+ pdfauthor=Paul Gaborit,
+}
+\makeatother
+
+
+\begin{document}
+\maketitle
+
+\begin{abstract}
+ The \texttt{sankey} package provides macros and environments to build
+ \emph{Sankey diagrams}%
+ \footnote{\url{https://en.wikipedia.org/wiki/Sankey_diagram}} (or
+ \emph{flow diagram} in which the width of the arrows is proportional
+ to the flow rate). The idea cames out from
+ \href{https://tex.stackexchange.com/q/40159/14500}{this question} on
+ \href{https://tex.stackexchange.com/}{TeX.StackExchange}.
+ %
+\end{abstract}
+
+{
+ \setlength{\parskip}{0pt}
+ \tableofcontents
+ \listoffigures
+}
+
+% ------------------------------------------------------------
+\section{Preamble}
+% ------------------------------------------------------------
+
+To use the \code{sankey} package, insert the following line in your preamble:
+
+\begin{lstlisting}[style=LaTeXsmall]
+\usepackage{sankey}
+\end{lstlisting}
+
+% ------------------------------------------------------------
+\section{The \texttt{sankeydiagram} environment}
+% ------------------------------------------------------------
+
+A \code{sankeydiagram} environment nested in a \code{tikzpicture}
+environment activates the sankey macros:
+
+\begin{lstlisting}[style=LaTeXsmall]
+\begin{tikzpicture}
+ \begin{sankeydiagram}[... options ...]
+ ... sankey macros ...
+ \end{sankeydiagram}
+\end{tikzpicture}
+\end{lstlisting}
+
+% ------------------------------------------------------------
+\section{Sankey diagram options}
+% ------------------------------------------------------------
+
+The \code{sankey} package uses \code{pgfkeys} to define options via
+\emph{key=value} pairs.
+
+The options can be defined via the optional argument of the
+\code{sankeydiagram} environment:
+
+\begin{lstlisting}[style=LaTeXsmall]
+\begin{sankeydiagram}[debug=true]
+ \sankeynode{name=a,quantity=1,angle=0,at={0,0}}
+\end{sankeydiagram}
+\end{lstlisting}
+
+The options can also be modified via the \code{\sankeyset} macro:
+
+\begin{lstlisting}[style=LaTeXsmall]
+\begin{sankeydiagram}
+ \sankeyset{debug=true}
+ \sankeynode{name=a,quantity=1,angle=0,at={0,0}}
+\end{sankeydiagram}
+\end{lstlisting}
+
+The options can be temporarily modified for a single macro:
+\begin{lstlisting}[style=LaTeXsmall]
+\begin{sankeydiagram}
+ \sankeynode[debug=true]{name=a,quantity=1,angle=0,at={0,0}}
+\end{sankeydiagram}
+\end{lstlisting}
+% ------------------------------------------------------------
+\subsection{Keys to choose the scale}
+% ------------------------------------------------------------
+
+The scale or ratio of the Sankey diagram is the ratio between the %
+\code{ratio length} and the \code{ratio quantity}.
+
+\begin{sankeyoption}{ratio quantity}{\VAR{number}}{}{10}
+ Quantity (in units of flow) to define ratio. The \VAR{number} can be
+ any math expression.
+\end{sankeyoption}
+
+\begin{sankeyoption}{ratio length}{\VAR{distance}}{}{1cm}
+ Distance (a graphical distance) to define scale.
+\end{sankeyoption}
+
+\begin{sankeyoption}{ratio}{\VAR{distance}/\VAR{number}}{}{1cm/10}
+ Fix the ratio to \VAR{distance}/\VAR{number}.
+\end{sankeyoption}
+
+The initial ratio is 1\,cm/10 units.
+
+
+\textbf{Note:} the \code{sankey} package uses the \code{xfp} package to
+evaluate all math expressions that use quantities (in units of
+flow). You can therefore use quantities of a very large or very small
+order of magnitude. In contrast, for graphic distances, the sankey
+package uses the \code{pgfmath} package (all calculations must not
+exceed $\pm 16383.99999$).
+
+% ------------------------------------------------------------
+\subsection{Keys to define drawing parameters}
+% ------------------------------------------------------------
+
+\begin{sankeyoption}{minimum radius}{\VAR{distance}}{}{5mm}
+ The minimum radius used by \code{\sankeyturn} and
+ \code{\sankeydubins}.
+\end{sankeyoption}
+
+\begin{sankeyoption}{outin steps}{\VAR{integer}}{}{10}
+ Number of steps used by the \code{\sankeyoutin} macro to simulate flow
+ lanes with constant width.
+\end{sankeyoption}
+
+% ------------------------------------------------------------
+\subsection{Keys to choose drawing styles}
+% ------------------------------------------------------------
+
+\begin{sankeyoption}{fill/.style}{\VAR{style}}{}{{line width=0pt,fill=white}}
+ This TikZ style is used to \emph{fill} all sankey paths.
+\end{sankeyoption}
+
+\begin{sankeyoption}{draw/.style}{\VAR{style}}{}{draw=black,line width=.4pt}
+ This TikZ style is used to \emph{draw} all sankey paths.
+\end{sankeyoption}
+
+\begin{sankeyoption}{start style}{\VAR{style name}}{}{none}
+ There are three predefined \emph{start} styles: \constant{none},
+ \constant{simple}, \constant{arrow}.
+\end{sankeyoption}
+
+\begin{sankeyoption}{end style}{\VAR{style name}}{}{none}
+ There are three predefined \emph{end} styles: \constant{none},
+ \constant{simple}, \constant{arrow}.
+\end{sankeyoption}
+
+% ------------------------------------------------------------
+\subsection{Keys to define new \emph{start} and \emph{end} styles}
+% ------------------------------------------------------------
+
+\begin{sankeyoption}{new start style}{\{\VAR{name}\}\{\VAR{fill
+ path}\}\{\VAR{draw path}\}}{}{}
+ Define the new start style named \VAR{name} with its \VAR{fill
+ path} and its \VAR{draw path}.
+\end{sankeyoption}
+
+\begin{sankeyoption}{new end style}{\{\VAR{name}\}\{\VAR{fill
+ path}\}\{\VAR{draw path}\}}{}{}
+ Define the new end style named \VAR{name} with its \VAR{fill
+ path} and its \VAR{draw path}.
+\end{sankeyoption}
+
+\emph{Fill} and \emph{draw} paths are composed in a TikZ scope where
+the origin is the current Sankey node center (and its name is
+\code{\name}) and the coordinate system is rotated by its orientation.
+
+% ------------------------------------------------------------
+\subsection{The \emph{debug} key}
+% ------------------------------------------------------------
+
+\begin{sankeyoption}{debug}{\VAR{boolean}}{true}{false}
+ To debug a sankey diagram.
+\end{sankeyoption}
+
+% ------------------------------------------------------------
+\section{Sankey nodes and flows}
+% ------------------------------------------------------------
+
+% ------------------------------------------------------------
+\subsection{Create Sankey nodes}
+% ------------------------------------------------------------
+
+% ------------------------------------------------------------
+
+\begin{miniblock}
+\MACRO\code{\sankeynode}\OPTARG{\VAR{options}}\ARG{\VAR{node parameters}}
+
+The \code{\sankeynode} macro defines a Sankey node. The \VAR{options}
+can be any Sankey diagram keys. To define a Sankey node, you must
+provide a \emph{name}, a \emph{quantity}, an \emph{angle} and a
+\emph{position} as \VAR{node parameters}.
+
+\begin{sankeyoption}[/sankey/node parameters]{name}{\VAR{name}}{}{}
+ The \VAR{name} of the new Sankey node (and the associated TikZ node).
+\end{sankeyoption}
+
+\begin{sankeyoption}[/sankey/node parameters]{quantity}{\VAR{quantity}}{}{}
+ The quantity (in flow unit) of the new Sankey node. The \VAR{quantity}
+ can be any math expression.
+\end{sankeyoption}
+
+\begin{sankeyoption}[/sankey/node parameters]{angle}{\VAR{angle}}{}{}
+ The orientation of the flow (0 points to the right) of the new Sankey
+ node.
+\end{sankeyoption}
+
+\begin{sankeyoption}[/sankey/node parameters]{at}{\VAR{at}}{}{}
+ The position of the new Sankey node (a TikZ coordinate \emph{without}
+ round brackets or parentheses).
+\end{sankeyoption}
+
+\begin{sankeyoption}[/sankey/node parameters]{anchor}{\VAR{anchor}}{center}{center}
+ Specify the anchor of the Sankey node. Possible values are
+ \constant{center}, \constant{left} or \constant{right}.
+\end{sankeyoption}
+
+\begin{sankeyoption}[/sankey/node parameters]{as}{\VAR{name}}{}{}
+ Copy the \emph{name}, the \emph{quantity}, the \emph{angle} and the
+ \emph{position} of the Sankey node named \VAR{name}.
+\end{sankeyoption}
+
+A Sankey node is also a Tikz node but with only three anchors:
+\code{left}, \code{center} and \code{right}.
+
+\begin{filecontents*}{\samplecodename}
+\begin{tikzpicture}
+ \begin{sankeydiagram}[debug]
+ \draw[gray!30] (-1,-1) grid (8,2);
+ \sankeynode{name=a,quantity=10,angle=0,at={0,0}}
+ \sankeynode{name=b,quantity=5,angle=45,at={2,1},anchor=left}
+ \sankeynode{name=c,quantity=20,angle=-90,at={5,1},anchor=right}
+
+ \foreach \nodename/\pos in {a/left,b/below left,c/above}{
+ \foreach \ancname in {left,center,right}{
+ \node[node font=\ttfamily\footnotesize,\pos=1mm of \nodename.\ancname,
+ inner sep=0pt,rotate=\sankeygetnodeorient{\nodename},anchor=east]
+ {\ancname\vphantom{g}};
+ \fill[black] (\nodename.\ancname) circle(1pt);
+ }
+ }
+ \end{sankeydiagram}
+\end{tikzpicture}
+\end{filecontents*}
+%
+\lstinputlisting[style=LaTeXsmall]{\samplecodename}
+%
+{\centering\input{\samplecodename}\par}
+\end{miniblock}
+% ------------------------------------------------------------
+
+\begin{miniblock}
+\MACRO\code{\sankeynodestart}\OPTARG{\VAR{options}}\ARG{\VAR{node parameters}}
+
+The \code{\sankeynodestart} creates and fills/draws a starting Sankey node:
+
+
+\begin{filecontents*}{\samplecodename}
+\begin{tikzpicture}
+ \begin{sankeydiagram}[start style=arrow,fill/.style={fill=orange!20}]
+ \draw[gray!30] (-1,-1) grid (8,2);
+ \sankeynodestart{name=a,quantity=10,angle=0,at={0,0}}
+ \sankeynodestart{name=b,quantity=5,angle=45,at={2,1},anchor=left}
+ \sankeynodestart{name=c,quantity=20,angle=-90,at={5,1},anchor=right}
+ \end{sankeydiagram}
+\end{tikzpicture}
+\end{filecontents*}
+%
+\lstinputlisting[style=LaTeXsmall]{\samplecodename}
+%
+{\centering\input{\samplecodename}\par}
+\end{miniblock}
+% ------------------------------------------------------------
+
+
+\begin{miniblock}
+\MACRO\code{\sankeynodeend}\OPTARG{\VAR{options}}\ARG{\VAR{node
+ parameters}}
+
+The \code{\sankeynodeend} creates
+and fills/draws an ending Sankey node:
+
+\begin{filecontents*}{\samplecodename}
+\begin{tikzpicture}
+ \begin{sankeydiagram}[end style=simple,fill/.style={fill=orange!20}]
+ \draw[gray!30] (-1,-1) grid (8,2);
+ \sankeynodeend{name=a,quantity=10,angle=0,at={0,0}}
+ \sankeynodeend{name=b,quantity=5,angle=45,at={2,1},anchor=left}
+ \sankeynodeend{name=c,quantity=20,angle=-90,at={5,1},anchor=right}
+ \end{sankeydiagram}
+\end{tikzpicture}
+\end{filecontents*}
+%
+\lstinputlisting[style=LaTeXsmall]{\samplecodename}
+%
+{\centering\input{\samplecodename}\par}
+\end{miniblock}
+
+\subsection{Retrieve informations from a Sankey node}
+
+\MACRO\code{\sankeygetnodeqty}\ARG{\VAR{node name}}
+
+The expandable command \code{\sankeygetnodeqty} returns the quantity
+assigned to the Sankey node named \VAR{node name}.
+
+\MACRO\code{\sankeygetnodeorient}\ARG{\VAR{node name}}
+
+The expandable command \code{\sankeygetnodeorient} returns the angle
+(orientation) assigned to the Sankey node named \VAR{node name}.
+
+% ------------------------------------------------------------
+\newpage
+\subsection{Move nodes}
+% ------------------------------------------------------------
+
+The \code{\sankeyadvance} and \code{\sankeyturn} commands move a Sankey
+node (and fill/draw a portion of the Sankey flow). Then the previous
+position of the Sankey node is accessible via the \code{-old} suffix (if
+you move the \code{a} node, its previous position is the \code{a-old}
+node).
+
+\subsubsection{forward commands}
+
+\begin{miniblock}
+\MACRO\code{\sankeyadvance}\OPTARG{\VAR{options}}\ARG{\VAR{node
+ name}}\ARG{\VAR{distance}}
+
+The \code{\sankeyadvance} moves the sankey node straight ahead and
+fills/draws this portion of the sankey path.
+
+\begin{filecontents*}{\samplecodename}
+\begin{tikzpicture}
+ \begin{sankeydiagram}[start style=arrow,fill/.style={fill=orange!20}]
+ \draw[gray!30] (-1,-1) grid (8,2);
+ \sankeynodestart{name=a,quantity=10,angle=0,at={0,0}}
+ \sankeyadvance{a}{1cm}
+ \sankeynode[debug]{as=a}
+ \sankeynode[debug]{as=a-old}
+ \sankeynodestart{name=b,quantity=5,angle=45,at={2,1},anchor=left}
+ \sankeyadvance{b}{1cm}
+ \sankeynodestart{name=c,quantity=10,angle=-90,at={5,1},anchor=right}
+ \sankeyadvance{c}{5mm}
+ \end{sankeydiagram}
+\end{tikzpicture}
+\end{filecontents*}
+%
+\lstinputlisting[style=LaTeXsmall]{\samplecodename}
+%
+{\centering\input{\samplecodename}\par}
+\end{miniblock}
+
+\begin{miniblock}
+\MACRO\code{\sankeyturn}\OPTARG{\VAR{options}}\ARG{\VAR{node
+ name}}\ARG{\VAR{angle}}
+
+The \code{\sankeyturn} macro moves the sankey node by turning to one
+side or the other and fills/draws this portion of the sankey path. A
+\emph{positive} \VAR{angle} turns left while a \emph{negative}
+\VAR{angle} turns right.
+
+\begin{filecontents*}{\samplecodename}
+\begin{tikzpicture}
+ \begin{sankeydiagram}[start style=arrow,fill/.style={fill=orange!20}]
+ \draw[gray!30] (-1,-1) grid (8,2);
+ \sankeynodestart{name=a,quantity=10,angle=0,at={0,0}}
+ \sankeyturn{a}{90}
+ \sankeynode[debug]{as=a}
+ \sankeynode[debug]{as=a-old}
+ \sankeynodestart{name=b,quantity=5,angle=45,at={2,1},anchor=left}
+ \sankeyturn[minimum radius=1cm]{b}{-45}
+ \sankeynodestart{name=c,quantity=10,angle=-90,at={5,1},anchor=right}
+ \sankeyturn{c}{180}
+ \end{sankeydiagram}
+\end{tikzpicture}
+\end{filecontents*}
+%
+\lstinputlisting[style=LaTeXsmall]{\samplecodename}
+%
+{\centering\input{\samplecodename}\par}
+\end{miniblock}
+
+\subsubsection{backward commands}
+
+\begin{miniblock}
+\MACRO\code{\sankeyadvance*}\OPTARG{\VAR{options}}\ARG{\VAR{node
+ name}}\ARG{\VAR{distance}}
+
+The \code{\sankeyadvance*} moves the sankey node straight back and
+fills/draws this portion of the sankey path.
+
+\begin{filecontents*}{\samplecodename}
+\begin{tikzpicture}
+ \begin{sankeydiagram}[end style=arrow,fill/.style={fill=orange!20}]
+ \draw[gray!30] (-1,-1) grid (8,2);
+ \sankeynodeend{name=a,quantity=10,angle=0,at={0,0}}
+ \sankeyadvance*{a}{1cm}
+ \sankeynode[debug]{as=a}
+ \sankeynode[debug]{as=a-old}
+ \sankeynodeend{name=b,quantity=5,angle=45,at={2,1},anchor=left}
+ \sankeyadvance*{b}{1cm}
+ \sankeynodeend{name=c,quantity=10,angle=-90,at={5,1},anchor=right}
+ \sankeyadvance*{c}{5mm}
+ \end{sankeydiagram}
+\end{tikzpicture}
+\end{filecontents*}
+%
+\lstinputlisting[style=LaTeXsmall]{\samplecodename}
+%
+{\centering\input{\samplecodename}\par}
+\end{miniblock}
+
+\begin{miniblock}
+\MACRO\code{\sankeyturn*}\OPTARG{\VAR{options}}\ARG{\VAR{node
+ name}}\ARG{\VAR{angle}}
+
+The \code{\sankeyturn*} macro moves the sankey node backwards by turning
+right or left and fills/draws this portion of the sankey path. A
+\emph{positive} \VAR{angle} turns left while a \emph{negative}
+\VAR{angle} turns right.
+
+\begin{filecontents*}{\samplecodename}
+\begin{tikzpicture}
+ \begin{sankeydiagram}[end style=simple,fill/.style={fill=orange!20}]
+ \draw[gray!30] (-1,-1) grid (8,2);
+ \sankeynodeend{name=a,quantity=10,angle=0,at={0,0}}
+ \sankeyturn*{a}{90}
+ \sankeynode[debug]{as=a}
+ \sankeynode[debug]{as=a-old}
+ \sankeynodeend{name=b,quantity=5,angle=45,at={2,1},anchor=left}
+ \sankeyturn*[minimum radius=1cm]{b}{-45}
+ \sankeynodeend{name=c,quantity=10,angle=-90,at={5,1},anchor=right}
+ \sankeyturn*{c}{180}
+ \end{sankeydiagram}
+\end{tikzpicture}
+\end{filecontents*}
+%
+\lstinputlisting[style=LaTeXsmall]{\samplecodename}
+%
+{\centering\input{\samplecodename}\par}
+\end{miniblock}
+
+\subsection{Links between nodes}
+
+\begin{miniblock}
+ \MACRO\code{\sankeyoutin}\OPTARG{\VAR{options}}\ARG{\VAR{node
+ A}}\ARG{\VAR{node B}}
+
+ The \code{\sankeyoutin} macro fills/draws a lane between \VAR{node A}
+ and \VAR{node B} using a Bézier curve with regular steps (10 steps by
+ default) to simulate constant width lane.
+
+ The constant width and the minimum curvature are \emph{not} guaranted!
+\end{miniblock}
+
+\begin{miniblock}
+ \MACRO\code{\sankeydubins}\OPTARG{\VAR{options}}\ARG{\VAR{node
+ A}}\ARG{\VAR{node B}}
+
+ The \code{\sankeydubins} macro fills/draws a lane between \VAR{node A}
+ and \VAR{node B} using a Dubins
+ path\footnote{\url{https://en.wikipedia.org/wiki/Dubins_path}}.
+
+ The constant width and the minimum curvature are guaranted.
+\end{miniblock}
+
+\subsubsection{Comparison betwen \texttt{outin} and \texttt{dubins}
+ paths}
+
+\begin{miniblock}
+\begin{filecontents*}{\samplecodename}
+\begin{tikzpicture}
+ \begin{sankeydiagram}[start style=simple,end style=arrow]
+ \draw[gray!30] (0,-1) grid (10,3.5);
+ %
+ \sankeyset{fill/.style={fill=orange!20}}
+ \sankeynodestart{name=a,at={1,0},angle=0,quantity=5}
+ \sankeynodeend{name=b,at={5,3},angle=0,quantity=5}
+ \sankeyoutin{a}{b}
+ %
+ \sankeyset{fill/.style={fill=red!20}}
+ \sankeynodestart{name=a,at={3,0},angle=0,quantity=5}
+ \sankeynodeend{name=b,at={7,3},angle=0,quantity=5}
+ \sankeyoutin[outin steps=2]{a}{b}
+ %
+ \sankeyset{fill/.style={fill=lime!40}}
+ \sankeynodestart{name=a,at={5,0},angle=0,quantity=5}
+ \sankeynodeend{name=b,at={(9,3},angle=0,quantity=5}
+ \sankeydubins[minimum radius=5mm]{a}{b}
+ \end{sankeydiagram}
+\end{tikzpicture}
+\end{filecontents*}
+%
+\lstinputlisting[style=LaTeXsmall]{\samplecodename}
+%
+{\centering\input{\samplecodename}\par}
+\end{miniblock}
+
+\begin{miniblock}
+\begin{filecontents*}{\samplecodename}
+\begin{tikzpicture}
+ \begin{sankeydiagram}[start style=simple,end style=arrow]
+ \draw[gray!30] (0,0) grid (8,4.5);
+ %
+ \sankeyset{fill/.style={fill=orange!20}}
+ \sankeynodestart{name=a,at={1,1},angle=0,quantity=5}
+ \sankeynodeend{name=b,at={3,4},angle=0,quantity=5}
+ \sankeyoutin{a}{b}
+ %
+ \sankeyset{fill/.style={fill=red!20}}
+ \sankeynodestart{name=a,at={3,1},angle=0,quantity=5}
+ \sankeynodeend{name=b,at={5,4},angle=0,quantity=5}
+ \sankeyoutin[outin steps=2]{a}{b}
+ %
+ \sankeyset{fill/.style={fill=lime!40}}
+ \sankeynodestart{name=a,at={5,1},angle=0,quantity=5}
+ \sankeynodeend{name=b,at={(7,4},angle=0,quantity=5}
+ \sankeydubins[minimum radius=5mm]{a}{b}
+ \end{sankeydiagram}
+\end{tikzpicture}
+\end{filecontents*}
+%
+\lstinputlisting[style=LaTeXsmall]{\samplecodename}
+%
+{\centering\input{\samplecodename}\par}
+\end{miniblock}
+
+\begin{miniblock}
+\begin{filecontents*}{\samplecodename}
+\begin{tikzpicture}
+ \begin{sankeydiagram}[start style=simple,end style=arrow]
+ \draw[gray!30] (0,0) grid ((6,4.5);
+ %
+ \sankeyset{fill/.style={fill=orange!20}}
+ \sankeynodestart{name=a,at={1,1},angle=0,quantity=5}
+ \sankeynodeend{name=b,at={1,4},angle=0,quantity=5}
+ \sankeyoutin{a}{b}
+ %
+ \sankeyset{fill/.style={fill=red!20}}
+ \sankeynodestart{name=a,at={3,1},angle=0,quantity=5}
+ \sankeynodeend{name=b,at={3,4},angle=0,quantity=5}
+ \sankeyoutin[outin steps=2]{a}{b}
+ %
+ \sankeyset{fill/.style={fill=lime!40}}
+ \sankeynodestart{name=a,at={5,1},angle=0,quantity=5}
+ \sankeynodeend{name=b,at={(5,4},angle=0,quantity=5}
+ \sankeydubins[minimum radius=5mm]{a}{b}
+ \end{sankeydiagram}
+\end{tikzpicture}
+\end{filecontents*}
+%
+\lstinputlisting[style=LaTeXsmall]{\samplecodename}
+%
+{\centering\input{\samplecodename}\par}
+\end{miniblock}
+
+\subsubsection{Examples of \texttt{dubins} paths}
+
+\begin{miniblock}
+\begin{filecontents*}{\samplecodename}
+\begin{tikzpicture}
+ \begin{sankeydiagram}[start style=simple,end style=arrow]
+ \draw[gray!30] (-1,-1) grid (10,2.5);
+
+ \sankeyset{
+ fill/.style={fill=lime!40},
+ draw/.style={draw=green!50!black,line width=2pt},
+ }
+
+ \sankeynodestart{name=a,at={0,0},angle=0,quantity=5}
+ \sankeynodeend{name=b,at={0,2},angle=0,quantity=5}
+ \sankeydubins[minimum radius=2mm]{a}{b}
+
+ \fill[green!50!black] (2,0) coordinate (c) circle(2pt);
+ \sankeynodestart{name=a,at={[shift={(c)}]90:5mm},angle=0,quantity=5}
+ \sankeynodeend{name=b,at={[shift={(c)}]150:5mm},angle=60,quantity=5}
+ \sankeydubins[minimum radius=2.5mm]{a}{b}
+
+ \sankeynodestart{name=a,at={3.5,0},angle=0,quantity=5}
+ \sankeynodeend{name=b,at={3.5,.75},angle=-180,quantity=5}
+ \sankeydubins[minimum radius=5mm]{a}{b}
+
+ \sankeynodestart{name=a,at={7,1},angle=0,quantity=5}
+ \sankeynodeend{name=b,at={7,1.75},angle=0,quantity=5}
+ \sankeydubins[minimum radius=2.5mm]{a}{b}
+
+ \sankeynodestart{name=a,at={9,0},angle=0,quantity=5}
+ \sankeynodeend{name=b,at={9,2},angle=180,quantity=5}
+ \sankeydubins[minimum radius=2.5mm]{a}{b}
+ \end{sankeydiagram}
+\end{tikzpicture}
+\end{filecontents*}
+%
+\lstinputlisting[style=LaTeXsmall]{\samplecodename}
+%
+{\centering\input{\samplecodename}\par}
+\end{miniblock}
+
+\subsection{Pure filling/drawing macros}
+
+\begin{miniblock}
+\MACRO\code{\sankeystart}\OPTARG{\VAR{options}}\ARG{\VAR{name}}
+
+The \code{\sankeystart} fills/draws a starting extremity attached to the
+preexistent Sankey node \VAR{name}:
+
+
+\begin{filecontents*}{\samplecodename}
+\begin{tikzpicture}
+ \begin{sankeydiagram}
+ [start style=arrow,fill/.style={fill=cyan!20},draw/.style={draw=blue}]
+ \draw[gray!30] (-1,-1) grid (8,2);
+ \sankeynode{name=a,quantity=10,angle=0,at={0,0}}
+ \sankeystart{a}
+ \sankeynode{name=b,quantity=5,angle=45,at={2,1},anchor=left}
+ \sankeystart{b}
+ \sankeynode{name=c,quantity=20,angle=-90,at={5,1},anchor=right}
+ \sankeystart{c}
+ \end{sankeydiagram}
+\end{tikzpicture}
+\end{filecontents*}
+%
+\lstinputlisting[style=LaTeXsmall]{\samplecodename}
+%
+{\centering\input{\samplecodename}\par}
+\end{miniblock}
+% ------------------------------------------------------------
+
+
+\begin{miniblock}
+ \MACRO\code{\sankeyend}\OPTARG{\VAR{options}}\ARG{\VAR{name}}
+
+ The \code{\sankeyend} fills/draws an ending extremity attached to the
+ preexistent Sankey node \VAR{name}:
+
+\begin{filecontents*}{\samplecodename}
+\begin{tikzpicture}
+ \begin{sankeydiagram}
+ [end style=simple,fill/.style={fill=cyan!20},draw/.style={draw=blue}]
+ \draw[gray!30] (-1,-1) grid (8,2);
+ \sankeynode{name=a,quantity=10,angle=0,at={0,0}}
+ \sankeyend{a}
+ \sankeynode{name=b,quantity=5,angle=45,at={2,1},anchor=left}
+ \sankeyend{b}
+ \sankeynode{name=c,quantity=20,angle=-90,at={5,1},anchor=right}
+ \sankeyend{c}
+ \end{sankeydiagram}
+\end{tikzpicture}
+\end{filecontents*}
+%
+\lstinputlisting[style=LaTeXsmall]{\samplecodename}
+%
+{\centering\input{\samplecodename}\par}
+\end{miniblock}
+
+\subsection{Forked node}
+
+\begin{miniblock}
+ \MACRO\code{\sankeyfork}\OPTARG{\VAR{options}}\ARG{\VAR{node}}\ARG{\VAR{quantity/name pairs}}
+
+ The \code{\sankeyfork} macro splits a Sankey node in a list of new
+ Sankey nodes. The \VAR{quantity/name pairs} is a comma separated list
+ of \emph{quantity/name} pairs. The sum of all quantities \emph{must}
+ be equal to the quantity of the node to fork.
+
+\begin{filecontents*}{\samplecodename}
+\begin{tikzpicture}
+ \begin{sankeydiagram}[debug]
+ \draw[gray!30] (-3,-2) grid (3,1);
+ \sankeynode{name=a,quantity=50,angle=-80,at={0,0}}
+ \sankeyfork{a}{30/b,10/c,10/d}
+ \end{sankeydiagram}
+\end{tikzpicture}
+\end{filecontents*}
+%
+\lstinputlisting[style=LaTeXsmall]{\samplecodename}
+%
+{\centering\input{\samplecodename}\par}
+
+\begin{filecontents*}{\samplecodename}
+\begin{tikzpicture}
+ \begin{sankeydiagram}
+ \sankeyset{
+ start style=arrow,end style=arrow,
+ fill/.style={fill=yellow!10,line width=0pt,draw=yellow!10},
+ }
+ \draw[gray!30] (-4,-3) grid (4,4);
+ \sankeynode{name=a,quantity=40,angle=-90,at={0,0}}
+ \sankeyfork{a}{25/b,10/c,5/d}
+ \sankeyturn*{b}{90}
+ \sankeyturn*[minimum radius=2cm]{c}{-45}
+ \sankeyturn*[minimum radius=2cm]{c}{45}
+ \sankeyturn*[minimum radius=5mm]{d}{-90}
+ \sankeyadvance{a}{2cm}
+ \foreach \nodename in {b,c,d}{
+ \sankeystart{\nodename}
+ }
+ \sankeyend{a}
+ \end{sankeydiagram}
+\end{tikzpicture}
+\end{filecontents*}
+%
+\lstinputlisting[style=LaTeXsmall]{\samplecodename}
+%
+{\centering\input{\samplecodename}\par}
+\end{miniblock}
+
+\section{Miscellaneous}
+
+\subsection{The \texttt{debug} layer}
+
+The \code{debug} option key uses the \code{sankeydebug} layer to draw
+above the \code{main} TikZ layer (via \code{\pgfsetlayers}, the
+\code{sankey} package installs four layers: \code{background},
+\code{main}, \code{foreground}, \code{sankeydebug}).
+
+The four following styles define how to display debug informations:
+
+
+\begin{lstlisting}[style=LaTeXsmall]
+\sankeyset{
+ % debug color used by all debug macros
+ debug color/.style={/utils/exec={\colorlet{debug color}{#1}}},
+ debug color=red!75!black,
+ % debug line between left and right anchors
+ debug line/.style={draw=debug color,|-|},
+ % debug line between center and label
+ debug normal/.style={draw=debug color},
+ % debug node label
+ debug label/.style={
+ draw,
+ font=\ttfamily\tiny,
+ text=debug color,text opacity=1,
+ inner sep=.1em,
+ fill=white,fill opacity=1,
+ rounded corners=.1em,
+ },
+}
+\end{lstlisting}
+
+\subsection{The \texttt{dubins} TikZ library}
+
+The \code{sankey} package uses the \code{dubins} TikZ library (the
+\code{tikzlibrarydubins.code.tex} file) to compute Dubins paths. The
+documentation for this library does not yet exist.
+
+\subsection{How to duplicate a Sankey node}
+
+\MACRO\code{\sankeynodealias}\ARG{\VAR{origname}}\ARG{\VAR{clonename}}
+
+The \code{\sankeynodealias} macro clones the Sankey node named
+\VAR{origname} into the Sankey node named \VAR{clonename}.
+
+So, you can clone a Sankey node via two methods:
+
+\begin{lstlisting}[style=LaTeXsmall]
+\sankeynode{name=a,quantity=10,angle=0,at={0,0}}
+\sankeynode{as=a,name=b}
+\end{lstlisting}
+
+\begin{lstlisting}[style=LaTeXsmall]
+\sankeynode{name=a,quantity=10,angle=0,at={0,0}}
+\sankeynodealias{a}{b}
+\end{lstlisting}
+
+\subsection{How to define new start and end styles}
+
+Here are the definitions of the \code{arrow} styles:
+
+\begin{lstlisting}[style=LaTeXsmall]
+\sankeyset{
+ % arrow style
+ new start style={arrow}{
+ (\name.left) -- ++(-10pt,0)
+ -- ([xshift=-10pt/6]\name.center)
+ -- ([xshift=-10pt]\name.right)
+ -- (\name.right) -- cycle
+ }{
+ (\name.left) -- ++(-10pt,0)
+ -- ([xshift=-10pt/6]\name.center)
+ -- ([xshift=-10pt]\name.right)
+ -- (\name.right)
+ },
+ new end style={arrow}{
+ (\name.left) -- ([yshift=1mm]\name.left)
+ -- ([xshift=10pt]\name.center)
+ -- ([yshift=-1mm]\name.right) -- (\name.right) -- cycle
+ }{
+ (\name.left) -- ([yshift=1mm]\name.left)
+ -- ([xshift=10pt]\name.center)
+ -- ([yshift=-1mm]\name.right) -- (\name.right)
+ },
+}
+\end{lstlisting}
+
+\section{History}
+
+\begin{itemize}
+\item[v2.0] (2021/01/27)
+ \begin{itemize}
+ \item First public version (on CTAN).
+ \end{itemize}
+\item[v1.0] (2016/03/06)
+ \begin{itemize}
+ \item First version.
+ \end{itemize}
+\end{itemize}
+
+\clearpage
+\section{Examples}
+
+\subsection{Simple example}
+
+See figure~\ref{fig:simple-example}.
+
+\begin{filecontents*}{\samplecodename}
+\begin{tikzpicture}
+ \colorlet{cold}[rgb]{cyan!75!blue!50!white}
+ \colorlet{hot}[rgb]{red!50!orange!75!white}
+ \begin{sankeydiagram}
+ \sankeyset{
+ ratio=90pt/6,
+ minimum radius=15pt,
+ start style=simple,
+ end style=simple,
+ % debug,
+ draw/.style={
+ draw=blue!50!cyan,
+ line width=1pt,
+ line cap=round,line join=round,
+ },
+ cold/.style={
+ fill/.style={
+ draw=cold,
+ line width=0pt,
+ fill=cold,
+ },
+ },
+ cold to hot/.style={
+ fill/.style={
+ fill=none,
+ top color=cold,
+ bottom color=hot,
+ middle color=yellow,
+ },
+ },
+ hot/.style={
+ fill/.style={
+ draw=hot,
+ line width=0pt,
+ fill=hot,
+ },
+ },
+ }
+
+ \sankeyset{cold}
+ \sankeynodestart{name=p0,at={0,100},angle=-90,quantity=6}
+ \sankeyadvance{p0}{50pt}
+
+ \sankeyfork{p0}{3/p1,3/p2}
+
+ \sankeyturn{p1}{90}
+ \sankeyadvance{p1}{20pt}
+
+ \sankeyadvance{p2}{60pt}
+
+ \sankeyfork{p2}{2/p3,1/p4}
+
+ \sankeyturn{p3}{90}
+ \sankeyadvance{p3}{50pt}
+
+ \sankeyfork{p3}{1/p5,1/p6}
+
+ \sankeyadvance{p5}{70pt}
+
+ \sankeyfork{p1}{1/p7,1/p8,1/p9}
+ \sankeyadvance{p7}{50pt}
+ \sankeyadvance{p9}{50pt}
+
+ \sankeyadvance{p4}{40pt}
+ \sankeyturn{p4}{90}
+ \sankeyadvance{p4}{65pt}
+
+ \sankeyadvance{p7}{40pt}
+
+ \sankeynode{name=p11,at={[shift={(50pt,-15pt)}]p7},angle=0,quantity=3}
+ \sankeyfork{p11}{1/p7a,1/p9a,1/p5a}
+ \sankeyoutin{p7}{p7a}
+ \sankeyoutin{p9}{p9a}
+ \sankeyoutin{p5}{p5a}
+ \sankeyadvance{p11}{30pt}
+ \sankeyend{p11}
+
+ \sankeyturn{p8}{-90}
+ \sankeyturn{p6}{-90}
+ \sankeyturn{p4}{-90}
+
+ \sankeyset{hot}
+
+ \sankeyadvance[cold to hot]{p8}{40pt}
+
+ \sankeynode{name=p10,at={[shift={(-15pt,-60pt)}]p8},angle=-90,quantity=3}
+ \sankeyfork{p10}{1/p8a,1/p6a,1/p4a}
+ \sankeyoutin[cold to hot]{p4}{p4a}
+ \sankeyoutin[cold to hot]{p6}{p6a}
+ \sankeyoutin{p8}{p8a}
+ \sankeyadvance{p10}{30pt}
+ \sankeyend{p10}
+ \end{sankeydiagram}
+\end{tikzpicture}
+\end{filecontents*}
+%
+\lstinputlisting[style=LaTeXsmall]{\samplecodename}
+\begin{figure}[b!]
+ \centering
+ \input{\samplecodename}
+ \caption{Simple example}
+ \label{fig:simple-example}
+\end{figure}
+\clearpage
+\subsection{Example from question on TeX.se}
+
+This example cames from
+\href{https://tex.stackexchange.com/q/40159/14500}{this question} on
+\href{https://tex.stackexchange.com/}{TeX.StackExchange}.
+
+See figure~\ref{fig:texse-example}.
+
+\begin{filecontents*}{\samplecodename}
+\begin{tikzpicture}
+ \renewcommand*\sfdefault{txss}
+
+ \begin{sankeydiagram}
+
+ \sankeyset{
+ ratio=4cm/524.3,
+ minimum radius=3mm,
+ start style=arrow,
+ end style=arrow,
+ % debug,
+ fill/.style={
+ line width=0pt,
+ fill=cyan!50!blue!50!black,
+ draw=cyan!50!blue!50!black,
+ },
+ draw/.style={draw=none},
+ }
+
+ \sankeynodestart{name=B,at={-.5,0},angle=-90,quantity=7.2}
+ \coordinate[below=1mm of B.center] (B label);
+ \sankeyadvance{B}{5mm}
+ \sankeynodestart{name=GI,at={1,0},angle=-90,quantity=137.3}
+ \coordinate[below=1mm of GI.center] (GI label);
+ \sankeyadvance{GI}{5mm}
+ \sankeynodestart{name=I,at={4,0},angle=-90,quantity=397.8}
+ \coordinate[below=1mm of I.center] (I label);
+ \sankeynode{name=EI,at={2.86,-3},angle=-90,quantity=542.3}
+ \sankeyfork{EI}{397.8/Ia,137.3/GIa,7.2/Ba}
+ \sankeydubins[minimum radius=1.2cm]{I}{Ia}
+ \sankeyoutin{GI}{GIa}
+ \sankeyoutin{B}{Ba}
+ \sankeyadvance{EI}{5mm}
+ \coordinate (EI label) at (EI);
+ \sankeyadvance{EI}{5mm}
+ \sankeyfork{EI}{63.1/EB,479.2/P}
+
+ \sankeyturn{EB}{90}
+ \sankeyadvance{EB}{4cm}
+ \coordinate (EB label) at ($(EB)!.5!(EB-old)$);
+ \sankeyend{EB}
+
+ \sankeyadvance{P}{10mm}
+ \coordinate (P label) at (P);
+ \sankeyadvance{P}{5mm}
+
+ \sankeyfork{P}{33.5/NV,445.7/P}
+
+ {
+ \colorlet{NV color}{cyan!80!lime!50!gray}
+ \sankeyset{fill/.append style={fill=NV color,draw=NV color}}
+ \sankeyturn{NV}{90}
+ \sankeynode{as=NV,name=NV2,at=NV -| EB}
+ \sankeyoutin{NV}{NV2}
+ \coordinate (NV label) at (NV -| EB label);
+ \sankeyend{NV2}
+ }
+
+ \sankeyadvance{P}{10mm}
+ \sankeyfork{P}{118.1/U,327.6/P}
+
+ {
+ \sankeyset{
+ fill/.style={fill=orange!70!gray!50,draw=orange!70!gray!50}
+ }
+ \sankeyturn{U}{90}
+ \sankeynode{as=U,name=U2,at=U -| EB}
+ \sankeyoutin{U}{U2}
+ \coordinate (U label) at (U -| EB label);
+ \sankeyend{U2}
+ }
+
+ \sankeyadvance{P}{10mm}
+
+ \sankeyfork{P}{327.2/P,0.4/SD}
+
+ {
+ \sankeyturn{SD}{-90}
+ \sankeyadvance{SD}{15mm}
+ \coordinate (SD label) at (SD);
+ \sankeyadvance{SD}{15mm}
+ \sankeyend{SD}
+ }
+
+ \sankeyadvance{P}{8mm}
+ \sankeyfork{P}{18.8/VE,308.4/E}
+
+ {
+ \sankeyset{fill/.append style={orange!70!gray!30}}
+ \sankeyturn{VE}{90}
+ \sankeynode{as=VE,name=VE2,at=VE -| EB}
+ \sankeyoutin{VE}{VE2}
+ \coordinate (VE label) at (VE -| EB label);
+ \sankeyend{VE2}
+ }
+
+ \sankeyadvance{E}{8mm}
+ \coordinate (E label) at (E);
+ \sankeyadvance{E}{20mm}
+
+ \sankeyfork{E}{135.1/H+GHD,87.2/V,86.1/In}
+
+ \sankeyturn{In}{-90}
+ \sankeyadvance{In}{10mm}
+ \sankeyturn{In}{90}
+ \sankeyadvance{In}{5mm}
+ \coordinate (In label) at (In);
+ \sankeyadvance{In}{10mm}
+ \sankeyend{In}
+
+ \sankeynode{as=V,name=V2,at=V|-In label}
+ \sankeyoutin{V}{V2}
+ \coordinate (V label) at (V2);
+ \sankeyadvance{V2}{10mm}
+ \sankeyend{V2}
+
+ \sankeyturn{H+GHD}{90}
+ \sankeyadvance{H+GHD}{5mm}
+ \sankeyfork{H+GHD}{47.0/GHD,88.1/H}
+
+ \sankeyturn{H}{-90}
+ \sankeynode{as=H,name=H2,at=H|-In label}
+ \sankeyoutin{H}{H2}
+ \coordinate (H label) at (H2);
+ \sankeyadvance{H2}{10mm}
+ \sankeyend{H2}
+
+ \sankeyadvance{GHD}{30mm}
+ \sankeyturn{GHD}{-90}
+ \sankeynode{as=GHD,name=GHD2,at=GHD|-In label}
+ \sankeyoutin{GHD}{GHD2}
+ \coordinate (GHD label) at (GHD2);
+ \sankeyadvance{GHD2}{10mm}
+ \sankeyend{GHD2}
+ \end{sankeydiagram}
+
+ % labels
+ \tikzset{
+ label/.style={
+ fill=white,fill opacity=.8,text opacity=1,
+ inner sep=1mm,
+ text=cyan!50!blue!50!black,
+ inner xsep=2mm,
+ font=\sffamily\bfseries\footnotesize,
+ align=center,
+ },
+ }
+ \node[label,anchor=north] (B label) at (B label) {7.2};
+ \node[label,left=1mm of B label] {Bestands-\\entnahme};
+ \node[label,anchor=north] at (GI label) {137.3};
+ \node[label,above=5mm of GI label] {Gewinnung\\im Inland};
+ \node[label,anchor=north] at (I label) {397.8};
+ \node[label,above=5mm of I label] {Import};
+
+ \node[label] at (EI label) {542.3\\Energieaufkommen im Inland};
+
+ \node[label,anchor=center] (EB label) at (EB label) {63.1};
+ \node[label,above=1mm of EB label] {Export und\\Bunkerung};
+
+ \node[label] at (P label) {479.2\\Primärenergieverbrauch};
+
+ \node[label,anchor=center] (NV label) at (NV label) {33.5};
+ \node[label,above=0mm of NV label] {Nichtenergetischer Verbrauch};
+
+ \node[label,anchor=center] (U label) at (U label) {118.1};
+ \node[label,below=3mm of U label] {Umwandlungsverluste};
+
+ \node[label,anchor=center] (SD label) at (SD label) {0.4};
+ \node[label,above=0mm of SD label] {Statistische\\Differenzen};
+
+ \node[label,anchor=center] (VE label) at (VE label) {18.8};
+ \node[label,below=0mm of VE label] {Verbrauch in den\\Energiesktoren};
+
+ \node[label,anchor=north] (E label) at (E label)
+ {308.4\\Endenergieverbrauch};
+
+ \node[label,anchor=north] (In label) at (In label) {86.1};
+ \node[label,anchor=north,below=1cm of In label] {Industrie};
+
+ \node[label,anchor=north] (V label) at (V label) {87.2};
+ \node[label,anchor=north,below=1cm of V label] {Verkehr};
+
+ \node[label,anchor=north] (H label) at (H label) {88.1};
+ \node[label,anchor=north,below=1cm of H label] {Haushalte};
+
+ \node[label,anchor=north] (GHD label) at (GHD label) {47.0};
+ \node[label,anchor=north,below=1cm of GHD label]
+ {Gewerbe, Handel\\Diensleistungen};
+\end{tikzpicture}
+\end{filecontents*}
+%
+\lstinputlisting[style=LaTeXsmall]{\samplecodename}
+%
+\begin{figure}
+ \centering
+ %\rule{\linewidth}{1pt}\\
+ \input{\samplecodename}
+ \caption{Example from TeX.se question}
+ \label{fig:texse-example}
+\end{figure}
+
+\clearpage
+\subsection{Very nice example -- Nadieh Bremer creation}
+
+Graphic designer Nadieh Bremer created this very nice Sankey
+diagram\footnote{\url{https://www.visualcinnamon.com/portfolio/adyen-report-2019/}}
+for Adyen's second half 2018 report to shareholders. It is coded here
+with her kind permission.
+
+You can change the data values between lines 28 and 53.
+
+See figure~\ref{fig:nice-example}.
+
+\begin{filecontents*}{\samplecodename}
+\begin{tikzpicture}
+ %
+ \renewcommand*\sfdefault{txss}
+ \sffamily
+ \sisetup{
+ detect-all=true,
+ group-separator={,},
+ group-minimum-digits=4,
+ }
+ % storage of labels
+ \newcommand\LabSet[2]{% none name, label
+ \expandafter\edef\csname #1Lab\endcsname{#2}}
+ \newcommand\Lab[1]{% node name
+ \csname #1Lab\endcsname}
+ % storage of quantities
+ \newcommand\QtySet[2]{% node name, quantity
+ \expandafter\edef\csname #1Qty\endcsname{\fpeval{#2}}}
+ \newcommand\Qty[1]{% node name
+ \csname #1Qty\endcsname}
+ % all nodes with their name, label and quantity
+ \sankeyset{
+ def data/.code args={#1/#2/#3}{% node name/label/values
+ \LabSet{#1}{#2}
+ \QtySet{#1}{#3}
+ \typeout{#1: \Qty{#1}€ (\Lab{#1})}
+ },
+ def data/.list={
+ {Pf/Processing\\fees/71713},
+ {Sog/Sales of\\good/4547},
+ {Sf/Settlement\\fees/842075},
+ {Os/Other\\services/37532},
+ {R/Revenues/\Qty{Pf}+\Qty{Sog}+\Qty{Sf}+\Qty{Os}},
+ {Coi/Cost of Inventory/5151},
+ {Ciffi/Cost insecure from financial institutions/758234},
+ {Nr/Net revenue/\Qty{R}-\Qty{Coi}-\Qty{Ciffi}},
+ {Aadotaifa/Amortization and\\depreciation of tangible and\\%
+ intangible fixed assets/4688},
+ {Ssapc/Social securities and\\pension costs/7860},
+ {Was/Wages and salaries/35627},
+ {Ooe/Other operating expenses/37346},
+ {Nr2/-/\Qty{Nr}-\Qty{Aadotaifa}-\Qty{Ssapc}-\Qty{Was}-\Qty{Ooe}},
+ {Oi/Other income/47},
+ {Ibiiieait/Income before interest income,\\interest expense and %
+ income taxes/\Qty{Nr2}+\Qty{Oi}},
+ {Fe/Finance expense/561},
+ {Ofr/Other financial results/2533},
+ {Ibiiieait2/-/\Qty{Ibiiieait}-\Qty{Fe}-\Qty{Ofr}},
+ {Fi/Finance income/204},
+ {Ibit/Income before income taxes/\Qty{Ibiiieait2}+\Qty{Fi}},
+ {It/Income taxes/21134},
+ {Niftp/Net income for the period/\Qty{Ibit}-\Qty{It}},
+ {Octa/Other currency\\translation adjustments/785},
+ {Tci/Total comprehensive income/\Qty{Niftp}+\Qty{Octa}}
+ },
+ }
+
+ \definecolor{mygreen}{RGB}{9,192,82}
+ \tikzset{
+ cost node/.style 2 args={
+ overlay,
+ align=flush center,
+ node font=\footnotesize\sffamily\bfseries,
+ inner sep=0,
+ node contents={%
+ {\mdseries€\,\num{#1}}\\%
+ #2\vphantom{g}%
+ },
+ },
+ white hash/.style={
+ draw=none,fill=none,
+ pattern={Lines[angle=60,line width=2pt,distance=4pt]},
+ pattern color=white,
+ },
+ line sep/.style={draw=white,line width=1pt},
+ left label/.style={left=#1,align=flush right,anchor=north east},
+ right label/.style={right=#1,align=flush left},
+ right label hashed/.style={
+ right=1mm of $(#1.left)!.5!(#1-old.left)$,align=flush left,
+ },
+ left label hashed/.style={
+ left=1mm of $(#1.right)!.5!(#1-old.right)$,align=flush right,
+ },
+ }
+
+ \newcommand\turnandstop[1]{
+ \sankeyturn[green to greenwhite]{#1}{-90}
+ \sankeynode{as=#1,name=#1-e,at={#1 -| Coi}}
+ \sankeyoutin[greenwhite to white]{#1}{#1-e}
+ \node[cost node={\Qty{#1}}{\Lab{#1}},left label={1mm of #1-e.right}];
+ }
+
+ \begin{sankeydiagram}
+ \sankeyset{
+ ratio=28em/1000000,
+ minimum radius=2cm,
+ start style=none,
+ % default fill and draw styles
+ fill/.style={
+ line width=0pt,
+ fill=mygreen,
+ },
+ draw/.style={draw=none},
+ % specific fill and draw styles
+ green to greenwhite/.style={
+ fill/.style={
+ line width=0pt,
+ right color=mygreen,
+ left color=mygreen!20!white,
+ }
+ },
+ greenwhite to white/.style={
+ fill/.style={
+ line width=0pt,
+ right color=mygreen!20!white,
+ left color=mygreen!5!white,
+ }
+ },
+ dashed/.style={draw/.style={draw=mygreen,dashed}},
+ % debug,
+ }
+
+ \coordinate (top) at (0,2em);
+
+ \sankeynodestart{name=Pf,quantity=\Qty{Pf},
+ at={0,0},angle=-90}
+ \node[cost node={\Qty{Pf}}{\Lab{Pf}},above=.5em of Pf.center];
+
+ \sankeynodestart{name=Sog,quantity=\Qty{Sog},
+ at={[xshift=4em]Pf.left},angle=-90,anchor=right}
+ \node[cost node={\Qty{Sog}}{\Lab{Sog}},above=.5em of Sog.center];
+
+ \sankeynodestart{name=Sf,quantity=\Qty{Sf},
+ at={[xshift=2em]Sog.left},angle=-90,anchor=right}
+ \node[cost node={\Qty{Sf}}{\Lab{Sf}},above=.5em of Sf.center];
+
+ \sankeynodestart{name=Os,quantity=\Qty{Os},
+ at={[xshift=2em]Sf.left},angle=-90,anchor=right}
+ \node[cost node={\Qty{Os}}{\Lab{Os}},above=.5em of Os.center];
+
+ \sankeynode{name=R,quantity=\Qty{R},
+ at={[yshift=-10em]Sf.center},angle=-90}
+ \sankeyfork{R}{\Qty{Os}/Os-a,\Qty{Sf}/Sf-a,\Qty{Sog}/Sog-a,\Qty{Pf}/Pf-a}
+
+ \foreach \nodename in {Pf,Sog,Sf,Os}{
+ \sankeyoutin[fill/.style={top color=white,bottom color=mygreen}]
+ {\nodename}{\nodename-a}
+ }
+
+ \sankeyadvance{R}{1em}
+ \node[cost node={\Qty{R}}{\Lab{R}},right label hashed=R];
+
+ \sankeyfork{R}{\Qty{Ciffi}/Ciffi,\Qty{Nr}/Nr,\Qty{Coi}/Coi}
+
+ \sankeyturn[minimum radius=1.cm]{Ciffi}{90}
+ \node[cost node={\Qty{Ciffi}}{\Lab{Ciffi}},
+ at={([shift={(1mm,0)}]Ciffi.center)},rotate=-90,
+ anchor=south,align=flush left,node font=\scriptsize\sffamily\bfseries];
+
+ \sankeyturn[green to greenwhite]{Coi}{-90}
+ \sankeyadvance[greenwhite to white]{Coi}{1em}
+ \node[cost node={\Qty{Coi}}{\Lab{Coi}},
+ left={1mm of [yshift=.75ex]Coi.left},
+ align=flush right,anchor=north east,overlay];
+
+ \sankeyadvance{Nr}{9em}
+ \sankeyadvance{Nr}{1em}
+ \node[cost node={\Qty{Nr}}{\Lab{Nr}},
+ left label hashed=Nr,node font=\large\sffamily\bfseries];
+
+ \sankeyfork{Nr}{\Qty{Nr2}/Nr2,\Qty{Ooe}/Ooe,
+ \Qty{Was}/Was,\Qty{Ssapc}/Ssapc,\Qty{Aadotaifa}/Aadotaifa}
+
+ \turnandstop{Aadotaifa}
+
+ \sankeyadvance{Ssapc}{5em}
+ \turnandstop{Ssapc}
+
+ \sankeyadvance{Was}{9em}
+ \turnandstop{Was}
+
+ \sankeyadvance{Ooe}{12em}
+ \turnandstop{Ooe}
+
+ \sankeyadvance{Nr2}{15em}
+ \sankeynode{name=Ibiiieait,quantity=\Qty{Ibiiieait},
+ angle=-90,anchor=right,at={Nr2.right}}
+ \sankeyfork{Ibiiieait}{\Qty{Oi}/Oi,\Qty{Nr2}/Nr2-e}
+
+ \sankeyturn*[minimum radius=1cm,dashed]{Oi}{90}
+ \node[cost node={\Qty{Oi}}{\Lab{Oi}},right label=1mm of Oi.left];
+
+ \sankeyadvance{Ibiiieait}{1em}
+ \node[cost node={\Qty{Ibiiieait}}{\Lab{Ibiiieait}},
+ right label hashed=Ibiiieait];
+
+ \sankeyfork{Ibiiieait}
+ {\Qty{Ibiiieait2}/Ibiiieait2,\Qty{Ofr}/Ofr,\Qty{Fe}/Fe}
+
+ \turnandstop{Fe}
+
+ \sankeyadvance{Ofr}{3em}
+ \turnandstop{Ofr}
+
+ \sankeyadvance{Ibiiieait2}{6em}
+ \sankeynode{name=Ibit,quantity={\Qty{Ibiiieait2}+\Qty{Fi}},
+ angle=-90,anchor=right,at={Ibiiieait2.right}}
+ \sankeyfork{Ibit}{\Qty{Fi}/Fi,\Qty{Ibiiieait2}/Ibiiieait2-e}
+
+ \sankeyturn*[minimum radius=1cm,dashed]{Fi}{90}
+ \node[cost node={\Qty{Fi}}{\Lab{Fi}},right label=1mm of Fi.left];
+
+ \sankeyadvance{Ibit}{1em}
+ \node[cost node={\Qty{Ibit}}{\Lab{Ibit}},right label hashed=Ibit];
+
+ \sankeyfork{Ibit}{\Qty{Niftp}/Niftp,\Qty{It}/It}
+
+ \turnandstop{It}
+
+ \sankeyadvance{Niftp}{6em}
+
+ \sankeyadvance{Niftp}{1em}
+ \node[cost node={\Qty{Niftp}}{\Lab{Niftp}},right label hashed=Niftp];
+
+ \sankeynode{name=Tci,quantity=\Qty{Niftp}+\Qty{Octa},
+ angle=-90,anchor=right,at={[yshift=-6em]Niftp.right}}
+ \sankeyfork{Tci}{\Qty{Octa}/Octa,\Qty{Niftp}/Niftp-e}
+ \sankeyoutin{Niftp}{Niftp-e}
+
+ \sankeyturn*[minimum radius=1cm]{Octa}{90}
+ \node[cost node={\Qty{Octa}}{\Lab{Octa}},right label=1mm of Octa.left];
+
+ \sankeyadvance{Tci}{1em}
+ \node[cost node={\Qty{Tci}}{\Lab{Tci}},right label hashed=Tci];
+
+ \newcommand\hashband[1]{
+ \draw[line sep] (#1-old.right) -- (#1-old.left);
+ \draw[line sep] (#1.right) -- (#1.left);
+ \path[white hash] (#1-old.right) rectangle (#1.left);
+ }
+
+ \foreach \nodename in {R,Nr,Nr,Ibiiieait,Ibit,Niftp,Tci}{
+ \hashband{\nodename}
+ }
+
+ \end{sankeydiagram}
+\end{tikzpicture}
+\end{filecontents*}
+%
+\lstinputlisting[numbers=left,style=LaTeXsmall]{\samplecodename}
+%
+\begin{figure}
+ \centering
+ \input{\samplecodename}
+ \caption{Very nice example -- Nadieh Bremer's creation}
+ (from
+ \href{https://www.visualcinnamon.com/portfolio/adyen-report-2019/}{Adyen's
+ Shareholder Report})
+ \label{fig:nice-example}
+\end{figure}
+\end{document}
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: t
+%%% End:
diff --git a/graphics/pgf/contrib/sankey/sankey.sty b/graphics/pgf/contrib/sankey/sankey.sty
new file mode 100644
index 0000000000..4c28a1fe0d
--- /dev/null
+++ b/graphics/pgf/contrib/sankey/sankey.sty
@@ -0,0 +1,722 @@
+% Copyright (C) 2016-2021 by Paul Gaborit
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+%
+% 2. under the GNU Public License.
+
+\def\sankey@version{2.0}
+\def\sankey@date{2021/01/27}
+\ProvidesPackage{sankey}[\sankey@date\space\sankey@version\space sankey package]
+
+\RequirePackage{xparse}
+\RequirePackage{xfp}
+\RequirePackage{tikz}
+\usetikzlibrary{calc,decorations.markings,dubins}
+\usepackage{etoolbox}
+
+% add a new layer to debug sankey diagrams
+\pgfdeclarelayer{background}
+\pgfdeclarelayer{foreground}
+\pgfdeclarelayer{sankeydebug}
+\pgfsetlayers{background,main,foreground,sankeydebug}
+
+% flag to debug sankey diagrams
+\newtoggle{sankey debug}
+\newtoggle{sankey node start}
+\newtoggle{sankey node end}
+
+% macros to store and to retrieve the orientation and the quantity
+% associated with each sankey node
+
+\def\sankeysetnodeqty#1#2{\expandafter\xdef\csname sankey@node@#1@qty\endcsname{#2}}
+
+\def\sankeygetnodeqty#1{%
+ \ifcsmacro{sankey@node@#1@qty}{%
+ \csname sankey@node@#1@qty\endcsname%
+ }{%
+ \PackageWarning{sankey}{Unknown sankey node '#1'}%
+ }%
+}
+
+\def\sankeysetnodeorient#1#2{\expandafter\xdef\csname sankey@node@#1@orient\endcsname{#2}}
+
+\def\sankeygetnodeorient#1{%
+ \ifcsmacro{sankey@node@#1@orient}{%
+ \csname sankey@node@#1@orient\endcsname%
+ }{%
+ \PackageWarning{sankey}{Unknown sankey node '#1'}%
+ }%
+}
+
+\def\sankeysetstartfill#1#2{\expandafter\gdef\csname sankey@start@fill@#1\endcsname{#2}}
+\def\sankeysetstartdraw#1#2{\expandafter\gdef\csname sankey@start@draw@#1\endcsname{#2}}
+\def\sankeysetendfill#1#2{\expandafter\gdef\csname sankey@end@fill@#1\endcsname{#2}}
+\def\sankeysetenddraw#1#2{\expandafter\gdef\csname sankey@end@draw@#1\endcsname{#2}}
+%
+\def\sankeygetstartfill#1{\csname sankey@start@fill@#1\endcsname}
+\def\sankeygetstartdraw#1{\csname sankey@start@draw@#1\endcsname}
+\def\sankeygetendfill#1{\csname sankey@end@fill@#1\endcsname}
+\def\sankeygetenddraw#1{\csname sankey@end@draw@#1\endcsname}
+
+% new shape
+\pgfdeclareshape{sankey node}{
+ \inheritsavedanchors[from=rectangle]
+ \inheritanchor[from=rectangle]{center}
+ %\inheritanchorborder[from=rectangle]
+ \anchor{left}{\pgf@process{\northeast}}
+ \anchor{right}{\pgf@process{\southwest}}
+}
+
+% pgfkeys family 'sankey'
+\pgfkeys{/sankey/.is family}
+
+\NewDocumentCommand\sankeyset{m}{\pgfkeys{sankey,#1}}
+
+\sankeyset{
+ ratio length/.code={
+ \pgfmathsetmacro\sankeytotallen{#1}
+ \edef\sankeytotallen{\sankeytotallen pt}
+ },
+ ratio length/.value required,
+ ratio quantity/.code={\edef\sankeytotalqty{\fpeval{#1}}},
+ ratio quantity/.value required,
+ ratio/.style args={#1/#2}{
+ ratio length=#1,
+ ratio quantity=#2,
+ },
+ ratio/.value required,
+ minimum radius/.estore in=\sankeyminradius,
+ minimum radius/.value required,
+ outin steps/.estore in=\sankeystepoutin,
+ outon steps/.value required,
+ %
+ debug/.is choice,
+ debug/true/.code={\toggletrue{sankey debug}},
+ debug/false/.code={\togglefalse{sankey debug}},
+ debug/.default=true,
+ %
+ start style/.is choice,
+ %
+ end style/.is choice,
+ % default values
+ default parameters/.style={
+ % default values
+ ratio=1cm/10,
+ minimum radius=5mm,%
+ outin steps=10,
+ debug=false,
+ start style=none,
+ end style=none,
+ },
+ % to make node
+ node parameters/.style={
+ quantity/.code={%
+ %\typeout{quantity=##1}%
+ \edef\qty{\fpeval{##1}}%
+ %\typeout{qty=\qty}%
+ },
+ quantity/.value required,
+ angle/.code={%
+ %\typeout{angle:##1}%
+ \pgfmathsetmacro\orient{##1}%
+ },
+ angle/.value required,
+ name/.store in=\name,
+ name/.value required,
+ at/.store in=\pos,
+ at/.value required,
+ as/.style={
+ name=##1,
+ quantity=\sankeygetnodeqty{##1},
+ angle=\sankeygetnodeorient{##1},
+ at={##1.center},
+ },
+ as/.value required,
+ %
+ anchor/.is choice,
+ anchor/left/.code={\def\sankeyanchor{left}},
+ anchor/right/.code={\def\sankeyanchor{right}},
+ anchor/center/.code={\def\sankeyanchor{center}},
+ anchor=center,
+ %
+ start/.is choice,
+ start/true/.code={\toggletrue{sankey node start}},
+ start/false/.code={\togglefalse{sankey node start}},
+ start/.default=true,
+ start=false,
+ %
+ end/.is choice,
+ end/true/.code={\toggletrue{sankey node end}},
+ end/false/.code={\togglefalse{sankey node end}},
+ end/.default=true,
+ end=false,
+ },
+}
+
+% some styles
+\sankeyset{
+ node/.style={
+ shape=sankey node,
+ inner sep=0,minimum height={\sankeyqtytolen{#1}},
+ minimum width=0,draw=none,line width=0pt,
+ node contents={},
+ },
+ fill/.style={line width=0pt,fill=white},
+ draw/.style={draw=black,line width=.4pt},
+ % debug color used by all debug macros
+ debug color/.style={/utils/exec={\colorlet{debug color}{#1}}},
+ debug color=red!75!black,
+ % debug line between left and right anchors
+ debug line/.style={draw=debug color,|-|},
+ % debug line between center and label
+ debug normal/.style={draw=debug color},
+ % debug node label
+ debug label/.style={
+ draw,
+ font=\ttfamily\tiny,
+ text=debug color,text opacity=1,
+ inner sep=.1em,
+ fill=white,fill opacity=1,
+ rounded corners=.1em,
+ },
+}
+
+\sankeyset{
+ new start style/.code n args={3}{% name, fill path, draw path
+ \sankeysetstartfill{#1}{#2}
+ \sankeysetstartdraw{#1}{#3}
+ \sankeyset{start style/#1/.code={\def\sankeystartstyle{#1}}}
+ },
+ new end style/.code n args={3}{% name, fill path, draw path
+ \sankeysetendfill{#1}{#2}
+ \sankeysetenddraw{#1}{#3}
+ \sankeyset{end style/#1/.code={\def\sankeyendstyle{#1}}}
+ },
+}
+
+% the new 'sankeydiagram' environment
+\NewDocumentEnvironment{sankeydiagram}{O{}+b}{
+
+ \newcommand\sankeyarc[2]{% sn, en
+ \begingroup
+ \pgfmathsetmacro\startangle{\sankeygetnodeorient{##1}}
+ \pgfmathsetmacro\endangle{\sankeygetnodeorient{##2}}
+ \pgfmathsetmacro\rotateangle{\endangle-\startangle}
+ \pgfmathtruncatemacro\acwrotate{\rotateangle>0?1:0}
+ \path let
+ \p1=(##1.left),\p2=(##1.right),
+ \p3=(##2.left),\p4=(##2.right),
+ \n1={\sankeyqtytolen{\sankeygetnodeqty{##1}}},
+ \n{maxr}={\sankeyminradius+\n1},
+ \n{minr}={\sankeyminradius}
+ in \pgfextra{
+ \ifnumequal{\acwrotate}{1}{
+ \begin{pgfinterruptpath}
+ % fill the region
+ \path[/sankey/fill]
+ (\p1) arc(\startangle-90:\endangle-90:\n{minr}) -- (\p3) --
+ (\p4) arc(\endangle-90:\startangle-90:\n{maxr}) -- (\p2) -- cycle;
+ % draw left and right borders
+ \path[/sankey/draw]
+ (\p1) arc(\startangle-90:\endangle-90:\n{minr})
+ (\p4) arc(\endangle-90:\startangle-90:\n{maxr});
+ \end{pgfinterruptpath}
+ }{
+ \begin{pgfinterruptpath}
+ % fill the region
+ \path[/sankey/fill]
+ (\p1) arc(\startangle+90:\endangle+90:\n{maxr}) -- (\p3) --
+ (\p4) arc(\endangle+90:\startangle+90:\n{minr}) -- (\p2) -- cycle;
+ % draw left and right borders
+ \path[/sankey/draw]
+ (\p1) arc(\startangle+90:\endangle+90:\n{maxr})
+ (\p4) arc(\endangle+90:\startangle+90:\n{minr});
+ \end{pgfinterruptpath}
+ }
+ };
+ \endgroup
+ }
+
+ \newcommand\sankeymakenodenodebug{
+ \begingroup
+ \sankeysetnodeqty{\name}{\qty}
+ \sankeysetnodeorient{\name}{\orient}
+ % \typeout{\qty,\orient}
+ \ifundef{\sankeyanchor}{\def\sankeyanchor{center}}{}
+ \node[/sankey/node=\qty,rotate=\orient,at/.expanded={(\pos)},name=\name,anchor=\sankeyanchor];
+ \endgroup
+ }
+
+ \newcommand\sankeymakenode{
+ \begingroup
+ \sankeymakenodenodebug{}
+ \iftoggle{sankey debug}{
+ \begin{pgfonlayer}{sankeydebug}
+ \pgfset{
+ number format/relative*=-1,
+ number format/precision=1,
+ number format/fixed,
+ }
+ \path[/sankey/debug line] (\name.left) -- (\name.right);
+ \pgfmathsetmacro{\len}{\sankeyqtytolen{\qty}/3}
+ \path[/sankey/debug normal] (\name.center)
+ -- ($(\name.center)!\len pt!90:(\name.right)$)
+ node[/sankey/debug label,rotate=\orient+90,anchor=north] {\name:\pgfmathprintnumber{\qty}};
+ \end{pgfonlayer}
+ }{}
+ \endgroup
+ }
+
+ \newcommand\sankeynodenodebug[1]{
+ \begingroup
+ \sankeyset{node parameters,##1}
+ %\typeout{sankeynodenodebug: '\name' at(\pos) angle(\orient) qty(\qty)}
+ \sankeymakenodenodebug{}
+ \endgroup
+ }
+
+ % ============================================================
+ % user commands
+ % ============================================================
+
+ \NewDocumentCommand\sankeydubins{O{}mm}{% options, sn, en
+ \begingroup
+ \sankeyset{##1}
+ \pgfmathsetmacro\startangle{\sankeygetnodeorient{##2}}
+ \pgfmathsetmacro\endangle{\sankeygetnodeorient{##3}}
+ \edef\sqty{\sankeygetnodeqty{##2}}
+ \edef\eqty{\sankeygetnodeqty{##3}}
+ \ifdefstrequal{\sqty}{\eqty}{}{
+ \PackageError{sankey}%
+ {^^J*** \string\sankeyoutin: quantities differ between ##2 (\sqty) and ##3 (\eqty)^^J}%
+ {The quantities of the two Sankey nodes must be equal.}
+ }
+ \pgfmathsetmacro\qty{\sankeygetnodeqty{##2}}
+ \pgfmathsetmacro\width{\sankeyqtytolen{\qty}}
+ %\typeout{startangle:\startangle,endangle:\endangle,qty:\qty,width:\width}
+ \dubinspathset{
+ sankey/.style={
+ start point=##2.center,start angle=\startangle,
+ end point=##3.center,end angle=\endangle,
+ minimum radius=\sankeyminradius + .5 * \width pt,
+ },
+ }
+ \dubinspathcalc{sankey,store=sankey}
+
+ \dubinspathset{
+ left border/.style={
+ sankey, use store=sankey,
+ left and right minimum radii=
+ {\sankeyminradius} and {\sankeyminradius + \width pt},
+ },
+ right border/.style={
+ sankey, use store=sankey,
+ left and right minimum radii=
+ {\sankeyminradius + \width pt} and {\sankeyminradius},
+ },
+ }
+
+ \path let
+ \p1=(##2.left),\p2=(##2.right),
+ \p3=(##3.left),\p4=(##3.right)
+ in \pgfextra{
+ \begin{pgfinterruptpath}
+ % fill the region
+ \path[/sankey/fill]
+ (\p1)
+ \dubinspath{left border}
+ -- (\p3) --
+ (\p4) \dubinspath{right border,reverse}
+ -- (\p2) -- cycle;
+
+ % draw left and right borders
+ \path[/sankey/draw]
+ (\p1)
+ \dubinspath{left border}
+ (\p2)
+ \dubinspath{right border}
+ ;
+ \end{pgfinterruptpath}
+ };
+ \endgroup
+ }
+
+
+ \NewDocumentCommand\sankeyoutin{O{}mm}{% options, sn, en
+ \begingroup
+ \sankeyset{##1}
+ \edef\sn{##2}
+ \edef\en{##3}
+ \edef\sqty{\sankeygetnodeqty{\sn}}
+ \edef\eqty{\sankeygetnodeqty{\en}}
+ \ifdefstrequal{\sqty}{\eqty}{}{
+ \PackageError{sankey}%
+ {^^J*** \string\sankeyoutin: quantities differ between \sn (\sqty) and \en (\eqty)^^J}%
+ {The quantities of the two Sankey nodes must be equal.}
+ }
+ %\typeout{*** sankeyoutin: \sn\space to \en\space (\sankeystepoutin)}
+ \pgfmathsetmacro\qty{\sankeygetnodeqty{\sn}}
+ \pgfmathsetmacro\mylength{\sankeyqtytolen{\qty}/2}
+ \pgfmathsetmacro\mystep{1/\sankeystepoutin}
+ %\typeout{*** a}
+ \pgfmathsetmacro\mybound{1-.5*\mystep}
+ %\typeout{*** b}
+ \pgfmathsetmacro\laststep{int(\sankeystepoutin-1)}
+ %\typeout{sankeystepoutin(\sankeystepoutin) mystep(\mystep) mybound(\mybound) laststep(\laststep)}
+ %\typeout{*** sankeyoutin: \startangle to \endangle}
+ \path[decorate,overlay,decoration={
+ markings,
+ mark=between positions \mystep and \mybound step \mystep with {
+ \def\sankeyoutinmidptname{sankeyoutinmidpt \pgfkeysvalueof{/pgf/decoration/mark info/sequence number}}
+ \path
+ (0,0) coordinate(\sankeyoutinmidptname)
+ (0,-\mylength pt) coordinate (\sankeyoutinmidptname\space r)
+ (0,\mylength pt) coordinate (\sankeyoutinmidptname\space l)
+ ;
+ }
+ }](\sn.center) to[out=\sankeygetnodeorient{\sn},in=\sankeygetnodeorient{\en}+180] (\en.center);
+ \foreach \myptnum in {1,...,\laststep}{
+ \def\sankeyoutinmidptname{sankeyoutinmidpt \myptnum}
+ \anglebetween\sankeyoutinmidptangle{\sankeyoutinmidptname\space r}{\sankeyoutinmidptname\space l}
+ \sankeynodenodebug{quantity=\qty,angle=\sankeyoutinmidptangle-90,name=\sankeyoutinmidptname,at=\sankeyoutinmidptname}
+ }
+ \sankeynodenodebug{quantity=\sankeygetnodeqty{\sn},angle=\sankeygetnodeorient{\sn},name={sankeyoutinmidpt 0},at={\sn}}
+ \sankeynodenodebug{quantity={\sankeygetnodeqty{\en}},angle={\sankeygetnodeorient{\en}},name={sankeyoutinmidpt \sankeystepoutin},at={\en}}
+
+ %\typeout{*********************}
+ \path[/sankey/fill,looseness=1]
+ (sankeyoutinmidpt 0.left)
+ \foreach \curpt[remember=\curpt as \prevpt (initially 0)] in {1,...,\sankeystepoutin}{
+ to[out=\sankeygetnodeorient{sankeyoutinmidpt \prevpt},in=\sankeygetnodeorient{sankeyoutinmidpt \curpt}+180]
+ (sankeyoutinmidpt \curpt.left)
+ }
+ --
+ (sankeyoutinmidpt \sankeystepoutin.right)
+ \foreach \curpt[remember=\curpt as \prevpt (initially \sankeystepoutin)] in {\laststep,...,0}{
+ to[out=\sankeygetnodeorient{sankeyoutinmidpt \prevpt}+180,in=\sankeygetnodeorient{sankeyoutinmidpt \curpt}]
+ (sankeyoutinmidpt \curpt.right)
+ }
+ -- cycle;
+
+ \path[/sankey/draw,looseness=1]
+ (sankeyoutinmidpt 0.left)
+ \foreach \curpt[remember=\curpt as \prevpt (initially 0)] in {1,...,\sankeystepoutin}{
+ to[out=\sankeygetnodeorient{sankeyoutinmidpt \prevpt},in=\sankeygetnodeorient{sankeyoutinmidpt \curpt}+180]
+ (sankeyoutinmidpt \curpt.left)
+ }
+ %
+ (sankeyoutinmidpt \sankeystepoutin.right)
+ \foreach \curpt[remember=\curpt as \prevpt (initially \sankeystepoutin)] in {\laststep,...,0}{
+ to[out=\sankeygetnodeorient{sankeyoutinmidpt \prevpt}+180,in=\sankeygetnodeorient{sankeyoutinmidpt \curpt}]
+ (sankeyoutinmidpt \curpt.right)
+ }
+ ;
+
+ \endgroup
+ }
+
+ \NewDocumentCommand\sankeynodealias{mm}{%name, alias
+ \path [late options={name=##1,alias=##2}];
+ \sankeysetnodeqty{##2}{\sankeygetnodeqty{##1}}
+ \sankeysetnodeorient{##2}{\sankeygetnodeorient{##1}}
+ }
+
+ \newcommand\sankeynode[2][]{
+ \begingroup
+ \sankeyset{##1}
+ \sankeyset{node parameters,##2}
+ %\typeout{sankeynode: '\name' at(\pos) angle(\orient) qty(\qty)}
+ \sankeymakenode{}
+ \endgroup
+ }
+
+ \def\sankeyfilldrawstart{
+ \begin{scope}[shift={(\name)},rotate=\orient]
+ \path[/sankey/fill] \sankeygetstartfill{\sankeystartstyle};
+ \path[/sankey/draw] \sankeygetstartdraw{\sankeystartstyle};
+ \end{scope}
+ }
+
+ \NewDocumentCommand\sankeystart{O{}m}{
+ \begingroup
+ \sankeyset{##1}
+ \edef\name{##2}
+ \edef\orient{\sankeygetnodeorient{##2}}
+ \edef\qty{\sankeygetnodeqty{##2}}
+ \sankeyfilldrawstart
+ \endgroup
+ }
+
+ \NewDocumentCommand\sankeynodestart{O{}m}{
+ \begingroup
+ %\typeout{sankeynodestart: ##2}
+ \sankeyset{##1}
+ \sankeyset{node parameters,##2}
+ %\typeout{sankeynodestart: '\name' at(\pos) angle(\orient) qty(\qty)}
+ \sankeymakenode{}
+ %\typeout{sankeynodestart: sankeynode ok}
+ %\typeout{sankeynodestart: '\name' at(\pos) angle(\orient) qty(\qty)}
+ \sankeyfilldrawstart
+ \endgroup
+ }
+
+ \def\sankeyfilldrawend{
+ \begin{scope}[shift={(\name)},rotate=\sankeygetnodeorient{\name}]
+ \path[/sankey/fill] \sankeygetendfill{\sankeyendstyle};
+ \path[/sankey/draw] \sankeygetenddraw{\sankeyendstyle};
+ \end{scope}
+ }
+
+ \NewDocumentCommand\sankeyend{O{}m}{%name
+ \begingroup
+ \sankeyset{##1}
+ \edef\name{##2}
+ \edef\orient{\sankeygetnodeorient{##2}}
+ \edef\qty{\sankeygetnodeqty{##2}}
+ \sankeyfilldrawend
+ \endgroup
+ }
+
+ \NewDocumentCommand\sankeynodeend{O{}m}{
+ \begingroup
+ %\typeout{sankeynodestart: ##2}
+ \sankeyset{##1}
+ \sankeyset{node parameters,##2}
+ %\typeout{sankeynodestart: '\name' at(\pos) angle(\orient) qty(\qty)}
+ \sankeymakenode{}
+ %\typeout{sankeynodestart: sankeynode ok}
+ %\typeout{sankeynodestart: '\name' at(\pos) angle(\orient) qty(\qty)}
+ \sankeyfilldrawend
+ \endgroup
+ }
+
+
+
+ \NewDocumentCommand\sankeyadvance{sO{}mm}{% *(reverse), options, name, distance
+ \begingroup
+ \sankeyset{##2}
+ \def\newname{##3}
+ \def\oldname{##3-old}
+ \sankeynodealias{\newname}{\oldname}
+ % \typeout{*** sankeyadvance: ok (\oldname => \newname)}
+ \IfBooleanTF{##1}{
+ % reverse advance
+ \sankeynode{
+ at={$(\oldname.center)!##4!90:(\oldname.left)$},
+ angle=\sankeygetnodeorient{\oldname},
+ quantity=\sankeygetnodeqty{\oldname},
+ name=\newname,
+ }
+ \path[/sankey/fill]
+ (\newname.left) -- (\oldname.left)
+ --
+ (\oldname.right) -- (\newname.right)
+ -- cycle;
+ \path[/sankey/draw]
+ (\newname.left) -- (\oldname.left)
+ (\oldname.right) -- (\newname.right);
+ \endgroup
+ }{
+ % advance
+ \sankeynode{
+ at={$(\oldname.center)!##4!-90:(\oldname.left)$},
+ angle=\sankeygetnodeorient{\oldname},
+ quantity=\sankeygetnodeqty{\oldname},
+ name=\newname,
+ }
+ \path[/sankey/fill]
+ (\oldname.left) -- (\newname.left)
+ --
+ (\newname.right) -- (\oldname.right)
+ -- cycle;
+ \path[/sankey/draw]
+ (\oldname.left) -- (\newname.left)
+ (\newname.right) -- (\oldname.right);
+ \endgroup
+ }
+ }
+
+ \NewDocumentCommand\sankeyturn{sO{}mm}{% *(reverse), options, name, angle
+ \begingroup
+ \sankeyset{##2}
+ \def\name{##3}
+ \def\oldname{##3-old}
+ \sankeynodealias{\name}{\oldname}
+ \pgfmathsetmacro\qty{\sankeygetnodeqty{\oldname}}
+ \pgfmathsetmacro\oldangle{\sankeygetnodeorient{\oldname}}
+ \IfBooleanTF{##1}{
+ % turn in reverse
+ \pgfmathsetmacro\orient{\oldangle-##4}
+ % \typeout{TURN: \oldangle=>\orient}
+ \ifnumgreater{##4}{0}{% anti-clockwise turn
+ \path let
+ \p1=(##3.left), \p2=(##3.right),
+ % center of rotation
+ \p{c}=($(\p1)!-\sankeyminradius!(\p2)$),
+ % starting position
+ \p{s}=(##3.center),
+ % ending position
+ \p{e}=($(\p{c})!1!-##4:(\p{s})$)
+ in \pgfextra{
+ \begin{pgfinterruptpath}
+ % \typeout{acw turn:\qty:\orient}
+ \def\pos{\p{e}}
+ \sankeymakenode{}
+ \sankeyarc{\name}{\oldname}
+ \end{pgfinterruptpath}
+ };
+ }{ % clockwise turn
+ \path let
+ \p1=(##3.right), \p2=(##3.left),
+ % center of rotation
+ \p{c}=($(\p1)!-\sankeyminradius!(\p2)$),
+ % starting position
+ \p{s}=(##3.center),
+ % ending position
+ \p{e}=($(\p{c})!1!-##4:(\p{s})$)
+ in \pgfextra{
+ % \typeout{cw turn:\qty:\orient}
+ \begin{pgfinterruptpath}
+ \def\pos{\p{e}}
+ \sankeymakenode{}
+ \sankeyarc{\name}{\oldname}
+ \end{pgfinterruptpath}
+ };
+ }
+ }{
+ % turn
+ \pgfmathsetmacro\orient{\oldangle+##4}
+ % \typeout{TURN: \oldangle=>\orient}
+ \ifnumgreater{##4}{0}{% anti-clockwise turn
+ \path let
+ \p1=(##3.left), \p2=(##3.right),
+ % center of rotation
+ \p{c}=($(\p1)!-\sankeyminradius!(\p2)$),
+ % starting position
+ \p{s}=(##3.center),
+ % ending position
+ \p{e}=($(\p{c})!1!##4:(\p{s})$)
+ in \pgfextra{
+ \begin{pgfinterruptpath}
+ % \typeout{acw turn:\qty:\orient}
+ \def\pos{\p{e}}
+ \sankeymakenode{}
+ \sankeyarc{\oldname}{\name}
+ \end{pgfinterruptpath}
+ };
+ }{ % clockwise turn
+ \path let
+ \p1=(##3.right), \p2=(##3.left),
+ % center of rotation
+ \p{c}=($(\p1)!-\sankeyminradius!(\p2)$),
+ % starting position
+ \p{s}=(##3.center),
+ % ending position
+ \p{e}=($(\p{c})!1!##4:(\p{s})$)
+ in \pgfextra{
+ % \typeout{cw turn:\qty:\orient}
+ \begin{pgfinterruptpath}
+ \def\pos{\p{e}}
+ \sankeymakenode{}
+ \sankeyarc{\oldname}{\name}
+ \end{pgfinterruptpath}
+ };
+ }
+ }
+ \endgroup
+ }
+
+ \NewDocumentCommand\sankeyfork{mm}{%name,list of forks
+ \def\listofforks{##2}
+ \xdef\sankeytot{0}
+ \xdef\sankeycalculus{0}
+ \pgfmathsetmacro\iqty{\sankeygetnodeqty{##1}}
+ \pgfmathsetmacro\iorient{\sankeygetnodeorient{##1}}
+ \pgfmathsetmacro\orient{\iorient}
+ %\typeout{iname:##1, iqty:\iqty,iorient:\iorient}
+ \foreach \qty/\name[count=\c] in \listofforks {
+ %\typeout{sankeyfork foreach: qty(\qty) name(\name) count(\c)}
+ \path
+ let
+ \p1=(##1.left),\p2=(##1.right),
+ \p{start}=($(\p1)!\fpeval{\sankeytot/\iqty}!(\p2)$),
+ \n{nexttot}={\fpeval{\sankeytot+\qty}},
+ \p{end}=($(\p1)!\fpeval{\n{nexttot}/\iqty}!(\p2)$),
+ \p{mid}=($(\p{start})!.5!(\p{end})$)
+ in \pgfextra{
+ %\typeout{new fork:\name}
+ %\typeout{qty:\qty,name:\name,count:\c,pos=\p{mid}}
+ \xdef\sankeytot{\n{nexttot}}
+ \xdef\sankeycalculus{\fpeval{\sankeycalculus+\qty}}
+ \begin{pgfinterruptpath}
+ \def\pos{\p{mid}}
+ \sankeymakenode{}
+ \end{pgfinterruptpath}
+ };
+ }
+ \edef\diff{\fpeval{abs(\iqty-\sankeytot)}}
+ %\typeout{sankeyfork diff: \diff}
+ %\pgfmathsetmacro{\diff}{abs(\iqty-\sankeytot)}
+ %\pgfmathtruncatemacro{\finish}{\diff<0.01?1:0}
+ \ifnumequal{\diff}{0}{}{
+ \PackageWarning{sankey}{^^J*** Warning: bad sankey fork: \iqty\space!=\space\sankeycalculus(=\sankeytot)^^J##2}
+ }
+ }
+
+ \def\sankeyqtytolen##1{\fpeval{(##1)/\sankeytotalqty*\sankeytotallen}}
+
+ \sankeyset{
+ % % default values,
+ % /tikz/declare function={
+ % % sankeyqtytolen(\qty)=\qty/\sankeytotalqty*\sankeytotallen;
+ % % sankeylentoqty(\len)=\len/\sankeytotallen*\sankeytotalqty;
+ % },%
+ default parameters,%
+ % user values
+ #1}
+
+ %\typeout{sankeytotallen: \sankeytotallen}
+
+ #2 % body of sankeydiagram environment
+}
+
+
+\sankeyset{
+ % none style
+ new start style={none}{}{},
+ new end style={none}{}{},
+ % simple style
+ new start style={simple}{
+ (\name.left) -- ([xshift=-.5\pgflinewidth]\name.left) -- ([xshift=-.5\pgflinewidth]\name.right) -- (\name.right) -- cycle
+ }{
+ (\name.left) -- ([xshift=-.5\pgflinewidth]\name.left) -- ([xshift=-.5\pgflinewidth]\name.right) -- (\name.right)
+ },
+ new end style={simple}{
+ (\name.left) -- ([xshift=2mm]\name.center) -- (\name.right) -- cycle
+ }{
+ (\name.left) -- ([xshift=2mm]\name.center) -- (\name.right)
+ },
+ % arrow style
+ new start style={arrow}{
+ (\name.left) -- ++(-10pt,0)
+ -- ([xshift=-10pt/6]\name.center)
+ -- ([xshift=-10pt]\name.right)
+ -- (\name.right) -- cycle
+ }{
+ (\name.left) -- ++(-10pt,0)
+ -- ([xshift=-10pt/6]\name.center)
+ -- ([xshift=-10pt]\name.right)
+ -- (\name.right)
+ },
+ new end style={arrow}{
+ (\name.left) -- ([yshift=1mm]\name.left)
+ -- ([xshift=10pt]\name.center)
+ -- ([yshift=-1mm]\name.right) -- (\name.right) -- cycle
+ }{
+ (\name.left) -- ([yshift=1mm]\name.left)
+ -- ([xshift=10pt]\name.center)
+ -- ([yshift=-1mm]\name.right) -- (\name.right)
+ },
+} \ No newline at end of file
diff --git a/graphics/pgf/contrib/sankey/tikzlibrarydubins.code.tex b/graphics/pgf/contrib/sankey/tikzlibrarydubins.code.tex
new file mode 100644
index 0000000000..da1dc120dc
--- /dev/null
+++ b/graphics/pgf/contrib/sankey/tikzlibrarydubins.code.tex
@@ -0,0 +1,361 @@
+% Copyright (C) 2016-2021 by Paul Gaborit
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+%
+% 2. under the GNU Public License.
+
+\usetikzlibrary{calc}
+
+\RequirePackage{etoolbox}
+\RequirePackage{etextools}
+\RequirePackage{xfp}
+
+\newbool{dubinspathreverse}
+
+\def\ifpgfmathcond#1{%
+ \pgfmathparse{(#1)?1:0}%
+ \ifnumequal{\pgfmathresult}{1}%
+}
+
+\def\anglebetween#1#2#3{%macro, s, t
+ \path let
+ \p{s}=(#2), \p{t}=(#3),
+ \n{angle}={atan2(\y{t}-\y{s},\x{t}-\x{s})}
+ in \pgfextra {
+ \pgfmathsetmacro#1{\n{angle}}
+ \aftergroup@def#1
+ };
+}
+
+\def\distancebetween#1#2#3{%macro, s, t
+ \path let
+ \p{s}=(#2), \p{t}=(#3),
+ %\n{dist}={veclen(\x{t}-\x{s},\y{t}-\y{s}))}
+ \n{dist}={\fpeval{sqrt((\x{t}-\x{s})*(\x{t}-\x{s})+(\y{t}-\y{s})*(\y{t}-\y{s}))}}
+ in \pgfextra {
+ %\typeout{n{dist}:\n{dist}}
+ \pgfmathsetmacro#1{\n{dist}}
+ \aftergroup@def#1
+ };
+}
+
+\newcommand\dubinspath@rsr{% s, sa, t, ta, as, len, at, r
+ let
+ \p{tr}=([shift={(\dbp@angb-90:\dbp@radius pt)}]\dbp@b),
+ \n1={\dbp@anga+90},
+ \n2={\dbp@angb+90},
+ \n3={\n2+\dbp@lastangle}
+ in
+ arc(\n1:\n1-\dbp@firstangle:\dbp@rradius pt)
+ -- ([shift={(\p{tr})}]\n3:\dbp@rradius pt)
+ arc(\n3:\n2:\dbp@rradius pt)
+}
+
+\newcommand\dubinspath@lsl{% s, sa, t, ta, as, len, at, r
+ let
+ \p{tl}=([shift={(\dbp@angb+90:\dbp@radius pt)}]\dbp@b),
+ \n1={\dbp@anga-90},\n2={\n1+\dbp@firstangle},
+ \n3={\dbp@angb-90},\n4={\n3-\dbp@lastangle}
+ in
+ arc(\n1:\n2:\dbp@lradius pt)
+ -- ([shift={(\p{tl})}]\n4:\dbp@lradius pt)
+ arc(\n4:\n3:\dbp@lradius pt)
+}
+
+\newcommand\dubinspath@rsl{% s, sa, t, ta, as, len, at, r
+ let
+ \p{tl}=([shift={(\dbp@angb+90:\dbp@radius pt)}]\dbp@b),
+ \n1={\dbp@anga+90},\n2={\n1-\dbp@firstangle},
+ \n3={\dbp@angb-90},\n4={\n3-\dbp@lastangle}
+ in
+ arc(\n1:\n2:\dbp@rradius pt)
+ -- ([shift={(\p{tl})}]\n4:\dbp@lradius pt)
+ arc(\n4:\n3:\dbp@lradius pt)
+}
+
+\newcommand\dubinspath@lsr{% s, sa, t, ta, as, len, at, r
+ let
+ \p{tr}=([shift={(\dbp@angb-90:\dbp@radius pt)}]\dbp@b),
+ \n1={\dbp@anga-90},\n2={\n1+\dbp@firstangle},
+ \n3={\dbp@angb+90},\n4={\n3+\dbp@lastangle}
+ in
+ arc(\n1:\n2:\dbp@lradius pt)
+ -- ([shift={(\p{tr})}]\n4:\dbp@rradius pt)
+ arc(\n4:\n3:\dbp@rradius pt)
+}
+
+\newcommand\dubinspath@lrl{% s, sa, t, ta, as, ai, at, r
+ let
+ \n1={\dbp@anga-90},\n2={\n1+\dbp@firstangle},
+ \n3={\dbp@angb-90},\n4={\n3-\dbp@lastangle}
+ in
+ arc(\n1:\n2:\dbp@lradius pt)
+ arc(\n2+180:\n2+180-\dbp@midparam:\dbp@rradius pt)
+ arc(\n4:\n3:\dbp@lradius pt)
+}
+
+\newcommand\dubinspath@rlr{% s, sa, t, ta, as, ai, at, r
+ let
+ \n1={\dbp@anga+90},\n2={\n1-\dbp@firstangle},
+ \n3={\dbp@angb+90},\n4={\n3+\dbp@lastangle}
+ in
+ arc(\n1:\n2:\dbp@rradius pt)
+ arc(\n2+180:\n2+180+\dbp@midparam:\dbp@lradius pt)
+ arc(\n4:\n3:\dbp@rradius pt)
+}
+\newcommand\dubinspath@rev@lsl{\dubinspath@rsr}
+\newcommand\dubinspath@rev@rsr{\dubinspath@lsl}
+\newcommand\dubinspath@rev@lsr{\dubinspath@lsr}
+\newcommand\dubinspath@rev@rsl{\dubinspath@rsl}
+\newcommand\dubinspath@rev@lrl{\dubinspath@rlr}
+\newcommand\dubinspath@rev@rlr{\dubinspath@lrl}
+
+
+\newcommand\dubinspath[1]{%
+ \pgfextra{
+ \dubinspathset{#1}
+ \ifbool{dubinspathreverse}{
+ \edef\newa{\dbp@b}
+ \edef\newb{\dbp@a}
+ \pgfmathsetmacro\newanga{180+\dbp@angb}
+ \pgfmathsetmacro\newangb{180+\dbp@anga}
+ \edef\newfirstangle{\dbp@lastangle}
+ \edef\newlastangle{\dbp@firstangle}
+ \edef\newmethod{rev@\dbp@method}
+ \edef\newlradius{\dbp@rradius}
+ \edef\newrradius{\dbp@lradius}
+ \dubinspathset{
+ start point=\newa,
+ end point=\newb,
+ start angle=\newanga,
+ end angle=\newangb,
+ first angle=\newfirstangle,
+ last angle=\newlastangle,
+ left and right minimum radii=\newlradius pt and \newrradius pt,
+ method=\newmethod,
+ }
+ }{}
+ %\typeout{dbp@lradius:\dbp@lradius}
+ %\typeout{dbp@rradius:\dbp@rradius}
+ }
+ \csname dubinspath@\dbp@method\endcsname%
+}
+
+
+% solution
+% \xdef\dubinspathmethod{} % type of dubins path
+% \xdef\dubinspathlength{} % lenght (pt)
+% \xdef\dubinspathfirstangle{} % first angle
+% \xdef\dubinspathmiddleparam{} % intermediate angle or straight distance
+% \xdef\dubinspathlastangle{} % last angle
+
+\def\dubinspathstore#1#2{%
+ \expandafter\xdef\csname dubinspath@store@#1@#2\endcsname%
+ {\csname dubinspath#2\endcsname}%
+}
+\def\dubinspathget#1#2{%
+ \csname dubinspath@store@#1@#2\endcsname%
+}
+
+%
+\def\dubinspathsetparams#1#2#3#4#5{% method, length, fisrt angle, middle param, last angle
+ \edef\dubinspathmethod{#1}
+ \edef\dubinspathlength{#2}
+ \edef\dubinspathfirstangle{#3}
+ \edef\dubinspathmiddleparam{#4}
+ \edef\dubinspathlastangle{#5}
+ \ifdef{\dbp@storename}{
+ \foreach \p in {method,length,firstangle,middleparam,lastangle}{
+ \dubinspathstore{\dbp@storename}{\p}
+ }
+ }{}
+}
+
+\def\dubinspathupdateparams#1#2#3#4#5{
+ \ifpgfmathcond{#2<\dubinspathlength}{
+ \dubinspathsetparams{#1}{#2}{#3}{#4}{#5}
+ }{}
+}
+
+\tikzset{
+ dubins path/.is family,
+ dubins path,
+ start point/.store in=\dbp@a,
+ start angle/.store in=\dbp@anga,
+ end point/.store in=\dbp@b,
+ end angle/.store in=\dbp@angb,
+ store/.store in=\dbp@storename,
+ use store/.style={
+ method=\dubinspathget{#1}{method},
+ first angle=\dubinspathget{#1}{firstangle},
+ last angle=\dubinspathget{#1}{lastangle},
+ middle param=\dubinspathget{#1}{middleparam},
+ },
+ minimum radius/.code={
+ \pgfmathsetmacro\dbp@radius{#1}
+ \pgfmathsetmacro\dbp@rradius{#1}
+ \pgfmathsetmacro\dbp@lradius{#1}
+ },
+ left and right minimum radii/.code args={#1 and #2}{
+ \pgfmathsetmacro\dbp@lradius{#1}
+ \pgfmathsetmacro\dbp@rradius{#2}
+ \pgfmathsetmacro\dbp@radius{(\dbp@lradius + \dbp@rradius)/2}
+ },
+ method/.store in=\dbp@method,
+ first angle/.store in=\dbp@firstangle,
+ last angle/.store in=\dbp@lastangle,
+ middle param/.store in=\dbp@midparam,
+ reverse/.is if=dubinspathreverse,
+}
+
+\newcommand\dubinspathset[1]{\tikzset{dubins path,#1}}
+
+\newcommand\dubinspathcalc[1]{%
+ \begingroup
+ \dubinspathset{#1}
+ \tikzset{
+ declare function={
+ angtodist(\a,\r)={abs(\a)*.01745329*\r};
+ modangr(\a,\b)={
+ (Mod(\a,360)<Mod(\b,360)?Mod(\a,360):Mod(\a,360)-360)+\b-Mod(\b,360)
+ };
+ modangl(\a,\b)={
+ (Mod(\a,360)<Mod(\b,360)?Mod(\a,360)+360:Mod(\a,360))+(\b)-Mod(\b,360)
+ };
+ },
+ }
+
+ \pgfmathsetmacro\radius{\dbp@rradius}
+ \pgfmathsetmacro\anga{mod((\dbp@anga)+180,360)-180}
+ \pgfmathsetmacro\angb{mod((\dbp@angb)+180,360)-180}
+ %\typeout{radius:\radius,anga:\anga,angb:\angb}
+ \path
+ let
+ \p{a}=(\dbp@a),
+ \p{b}=(\dbp@b),
+ \p{ar}=($(\p{a}) + (\anga-90:\radius pt)$),
+ \p{al}=($(\p{a}) + (\anga+90:\radius pt)$),
+ \p{br}=($(\p{b}) + (\angb-90:\radius pt)$),
+ \p{bl}=($(\p{b}) + (\angb+90:\radius pt)$)
+ in \pgfextra{
+ \pgfinterruptpath
+
+ % RSR (ar et br)
+ %\typeout{RSR begin}
+ \anglebetween\rsrarbr{\p{ar}}{\p{br}}
+ \distancebetween\rsrdarbr{\p{ar}}{\p{br}}
+ \pgfmathsetmacro\rsrangone{Mod(\anga-\rsrarbr,360)}
+ \pgfmathsetmacro\rsrangtwo{Mod(\rsrarbr-\angb,360)}
+ \pgfmathsetmacro\rsrlen{\rsrdarbr}
+ \pgfmathsetmacro\rsrdist{
+ angtodist(\rsrangone,\radius)
+ +\rsrlen
+ +angtodist(\rsrangtwo,\radius)
+ }
+ \dubinspathsetparams{rsr}{\rsrdist}{\rsrangone}{\rsrlen}{\rsrangtwo}
+
+ % LSL (al et bl)
+ %\typeout{LSL begin}
+ \anglebetween\lslalbl{\p{al}}{\p{bl}}
+ \distancebetween\lsldalbl{\p{al}}{\p{bl}}
+ \pgfmathsetmacro{\lslangone}{mod(\lslalbl-\anga+720,360)}
+ \pgfmathsetmacro{\lslangtwo}{mod(\angb-\lslalbl+720,360)}
+ \pgfmathsetmacro\lsllen{\lsldalbl}
+ \pgfmathsetmacro\lsldist{
+ angtodist(\lslangone,\radius)
+ +\lsllen
+ +angtodist(\lslangtwo,\radius)
+ }
+ \dubinspathupdateparams{lsl}{\lsldist}{\lslangone}{\lsllen}{\lslangtwo}
+
+ % RSL (ar et bl)
+ %\typeout{RSL begin}
+ \distancebetween\rsldarbl{\p{ar}}{\p{bl}}
+ \pgfmathtruncatemacro\rslok{(\rsldarbl>=2*\radius)?1:0}
+ \ifnumequal{\rslok}{1}{
+ \anglebetween\rslarbl{\p{ar}}{\p{bl}}
+ \pgfmathsetmacro\rslanglesup{
+ asin(\radius/\rsldarbl*2)}
+ \pgfmathsetmacro\rslangone{Mod(\anga-\rslarbl+\rslanglesup,360)}
+ \pgfmathsetmacro\rslangtwo{Mod(\angb-\rslarbl+\rslanglesup,360)}
+ \pgfmathsetmacro\rsllen{veclen(\rsldarbl,\radius)}
+ \pgfmathsetmacro\rsldist{
+ angtodist(\rslangone,\radius)
+ +\rsllen
+ +angtodist(\rslangtwo,\radius)
+ }
+
+ \dubinspathupdateparams{rsl}{\rsldist}{\rslangone}{\rsllen}{\rslangtwo}
+ }{}
+
+ % LSR (al et br)
+ %\typeout{LSR begin}
+ \distancebetween\lsrdalbr{\p{al}}{\p{br}}
+ \pgfmathtruncatemacro\lsrok{(\lsrdalbr>=2*\radius)?1:0}
+ \ifnumequal{\lsrok}{1}{
+ \anglebetween\lsralbr{\p{al}}{\p{br}}
+ \pgfmathsetmacro\lsranglesup{
+ asin(\radius/\lsrdalbr*2)}
+ \pgfmathsetmacro\lsrangone{Mod(\lsralbr+\lsranglesup-\anga,360)}
+ \pgfmathsetmacro\lsrangtwo{Mod(\lsralbr+\lsranglesup-\angb,360)}
+ \pgfmathsetmacro\lsrlen{veclen(\lsrdalbr,\radius)}
+ \pgfmathsetmacro\lsrdist{
+ angtodist(\lsrangone,\radius)
+ +\lsrlen
+ +angtodist(\lsrangtwo,\radius)
+ }
+ \dubinspathupdateparams{lsr}{\lsrdist}{\lsrangone}{\lsrlen}{\lsrangtwo}
+ }{}
+
+ % LRL (al et bl)
+ %\typeout{LRL begin}
+ \distancebetween\lrldalbl{\p{al}}{\p{bl}}
+ \pgfmathtruncatemacro\lrlok{(\lrldalbl<=4*\radius)?1:0}
+ \ifnumequal{\lrlok}{1}{
+ % \debug{LRL}
+ \anglebetween\lrlalbl{\p{al}}{\p{bl}}
+ \pgfmathsetmacro\lrlangsup{acos(\lrldalbl/\radius/4)}
+ \pgfmathsetmacro\lrlangone{
+ modangl(\lrlalbl+\lrlangsup,\anga-90)-(\anga-90)}
+ \pgfmathsetmacro\lrlangtwo{%
+ (\angb-90)-modangr(\lrlalbl+180-\lrlangsup,\angb-90)}
+ \pgfmathsetmacro\lrlangthree{360-2*(90-\lrlangsup)}
+ \pgfmathsetmacro\lrldist{
+ angtodist(\lrlangone,\radius)
+ +angtodist(\lrlangthree,\radius)
+ +angtodist(\lrlangtwo,\radius)
+ }
+ \dubinspathupdateparams{lrl}{\lrldist}{\lrlangone}{\lrlangthree}{\lrlangtwo}
+ }{}
+
+ % RLR (ar et br)
+ %\typeout{RLR begin}
+ \distancebetween\rlrdarbr{\p{ar}}{\p{br}}
+ \pgfmathtruncatemacro\rlrok{(\rlrdarbr<=4*\radius)?1:0}
+ \ifnumequal{\rlrok}{1}{
+ \anglebetween\rlrarbr{\p{ar}}{\p{br}}
+ \pgfmathsetmacro\rlrangsup{acos(\rlrdarbr/\radius/4)}
+ \pgfmathsetmacro\rlrangone{
+ (\anga+90)-modangr(\rlrarbr-\rlrangsup,\anga+90)}
+ \pgfmathsetmacro\rlrangtwo{%
+ modangl(\rlrarbr+180+\rlrangsup,\angb+90)-(\angb+90)}
+ \pgfmathsetmacro\rlrangthree{360-2*(90-\rlrangsup)}
+ \pgfmathsetmacro\rlrdist{
+ angtodist(\rlrangone,\radius)
+ +angtodist(\rlrangthree,\radius)
+ +angtodist(\rlrangtwo,\radius)
+ }
+ \dubinspathupdateparams{rlr}{\rlrdist}{\rlrangone}{\rlrangthree}{\rlrangtwo}
+ }{}
+
+ \endpgfinterruptpath
+ };
+ \endgroup
+}
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: t
+%%% End: