texlive[73101] Master/texmf-dist: cora-macs (11dec24)
commits+karl at tug.org
commits+karl at tug.org
Wed Dec 11 21:27:13 CET 2024
Revision: 73101
https://tug.org/svn/texlive?view=revision&revision=73101
Author: karl
Date: 2024-12-11 21:27:13 +0100 (Wed, 11 Dec 2024)
Log Message:
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cora-macs (11dec24)
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trunk/Master/texmf-dist/doc/latex/cora-macs/README.md
trunk/Master/texmf-dist/doc/latex/cora-macs/cora-macs-doc.pdf
trunk/Master/texmf-dist/doc/latex/cora-macs/cora-macs-doc.tex
trunk/Master/texmf-dist/tex/latex/cora-macs/cora-macs.sty
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trunk/Master/texmf-dist/doc/latex/cora-macs/examples/
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trunk/Master/texmf-dist/doc/latex/cora-macs/examples/figures/neural-network_animated.tikz
trunk/Master/texmf-dist/doc/latex/cora-macs/examples/presentation.pdf
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trunk/Master/texmf-dist/doc/latex/cora-macs/figures/
trunk/Master/texmf-dist/doc/latex/cora-macs/figures/coraLogo.eps
trunk/Master/texmf-dist/doc/latex/cora-macs/figures/externalize/
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trunk/Master/texmf-dist/doc/latex/cora-macs/figures/neural-network.tikz
Modified: trunk/Master/texmf-dist/doc/latex/cora-macs/README.md
===================================================================
--- trunk/Master/texmf-dist/doc/latex/cora-macs/README.md 2024-12-11 20:26:46 UTC (rev 73100)
+++ trunk/Master/texmf-dist/doc/latex/cora-macs/README.md 2024-12-11 20:27:13 UTC (rev 73101)
@@ -2,24 +2,12 @@
## Overview
-The `cora-macs` package is a LaTeX package designed to assist in the representation and manipulation of continuous sets, operations, neural networks, and color schemes tailored for use in the context of cyber-physical systems. It provides a comprehensive set of macros that streamline the process of documenting complex mathematical objects and operations.
+The `cora-macs` package provides specialized LaTeX tools for researchers in cyber-physical systems.
+It offers comprehensive commands for mathematical set notation, operations, and other definitions.
+Designed to accompany the CORA toolbox, the package also facilitates beautiful visualizations through TikZ figures exported from Matlab and a custom color palette.
-## Authors
+CORA: https://cora.in.tum.de
-- **Tobias Ladner**
-- **Lukas Koller**
-
-TUM - Cyber-Physical Systems Group
-
-Visit our website: [TUM CPS Group](https://www.ce.cit.tum.de/cps)
-
-## Features
-
-- **Continuous Sets**: Macros for defining and working with intervals, zonotopes, polynomial zonotopes, and other set-based representations.
-- **Operations**: A collection of macros for common mathematical operations used in cyber-physical systems analysis.
-- **Neural Networks**: Notations for layers, activations, set propagation, and more.
-- **Color Schemes**: Predefined color palettes including TUM-specific colors and custom `cora-macs` colors.
-
## Installation
To use the `cora-macs` package in your LaTeX documents, follow these steps:
@@ -30,55 +18,26 @@
```latex
\usepackage[options]{cora-macs}
```
- Replace `[options]` with the desired options (e.g., `sets`, `operations`, `nn`, `colors`, `tumcolors`).
+
-## Usage
-
-### Basic Example
-
-Here’s a simple example of how to use some of the features provided by the `cora-macs` package:
-
-```latex
-\documentclass{article}
-\usepackage[sets, operations]{cora-macs}
-
-\begin{document}
-
-% Define a set
-\contSet{X} = \shortContSet{a}{b}{X}
-
-% Use an operation
-\diag{A} = \operator{diag}{A}
-
-\end{document}
-```
-
### Options
-- **`sets`**: Enables macros for working with continuous sets.
-- **`operations`**: Enables macros for common operations in mathematical analysis.
-- **`nn`**: Enables macros related to neural networks.
-- **`colors`**: Defines a set of colors specific to the `cora-macs` package.
-- **`tumcolors`**: Defines TUM-specific colors.
+- `sets`: Enables macros for working with continuous sets.
+- `operations`: Enables macros for common operations in set-based computing.
+- `nn`: Enables macros related to neural networks.
+- `colors`: Defines a set of colors specific to the `cora-macs` package.
+- `tikz`: Include your Matlab figures in LaTeX for beautiful visualizations.
You can combine these options as needed when including the package.
## Documentation
-For detailed documentation, including a complete list of commands and options, please refer to the [documentation](./documentation.pdf).
+For detailed documentation, including a complete list of commands and options, please refer to the [documentation](./cora-macs-doc.pdf).
## License
This project is licensed under the MIT License - see the [LICENSE](./LICENSE) file for details.
-## Acknowledgments
-
-This package was developed as part of the work done by the Cyber-Physical Systems Group at TUM. We would like to thank the contributors and users who provided valuable feedback.
-
-## Contributing
-
-If you wish to contribute to the `cora-macs` package, feel free to submit a pull request or open an issue on the repository.
-
## Contact
For questions, issues, or suggestions, please contact:
@@ -88,4 +47,4 @@
---
-Developed at TUM - Cyber-Physical Systems Group
\ No newline at end of file
+Developed at TUM - [Cyber-Physical Systems Group](https://www.ce.cit.tum.de/cps)
\ No newline at end of file
Modified: trunk/Master/texmf-dist/doc/latex/cora-macs/cora-macs-doc.pdf
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(Binary files differ)
Modified: trunk/Master/texmf-dist/doc/latex/cora-macs/cora-macs-doc.tex
===================================================================
--- trunk/Master/texmf-dist/doc/latex/cora-macs/cora-macs-doc.tex 2024-12-11 20:26:46 UTC (rev 73100)
+++ trunk/Master/texmf-dist/doc/latex/cora-macs/cora-macs-doc.tex 2024-12-11 20:27:13 UTC (rev 73101)
@@ -1,119 +1,487 @@
\documentclass{article}
+
+
+\usepackage[a4paper,landscape]{geometry}
+
+% preamble
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{hyperref}
-\usepackage[sets,operations,nn,colors]{cora-macs}
+\usepackage[sets,operations,nn,colors,tikz]{cora-macs}
\title{The \texttt{cora-macs} Package}
\author{Tobias Ladner, Lukas Koller\\
TUM - Cyber-Physical Systems Group\\
\texttt{\small tobias.ladner at tum.de, lukas.koller at tum.de}}
-\date{2024-10-25}
+\date{2024-12-11} % Should match the version on CTAN.
+% update quote and verbatim environment for uniform display
+
+\AtBeginEnvironment{verbatim}{\begin{quote}\small}
+\AtEndEnvironment{verbatim}{\end{quote} \vspace{\baselineskip}\noindent}
+
+% show color
+\newcommand{\showColor}[1]{{\color{#1}$\blacksquare$}}
+
+% cleverref
+\usepackage{cleveref}
+\newcommand{\updatecrefname}[2]{\crefname{#1}{#2}{#2}\Crefname{#1}{#2}{#2}}
+\updatecrefname{section}{Sec.}
+\updatecrefname{subsection}{Sec.}
+\updatecrefname{figure}{Fig.}
+\updatecrefname{table}{Tab.}
+
+
+% begin document ---
\begin{document}
+
+% cover page ---
+
\maketitle
-\begin{abstract}
-The \texttt{cora-macs} package provides tools for working with continuous sets, operations, neural networks, and color schemes tailored for use in the context of cyber-physical systems. This document serves as the official documentation for the package, detailing the available commands and options.
-\end{abstract}
+% \vspace{1cm}
+\begin{center}
+ \includegraphics[width=0.5\columnwidth]{./figures/coraLogo}
+\end{center}
+\vspace{1cm}
+\begin{center}
+ \begin{minipage}{0.5\textwidth}
+ \begin{abstract}
+ The \texttt{cora-macs} package provides specialized \LaTeX\ tools for researchers in cyber-physical systems.
+ It offers comprehensive commands for mathematical set notation, operations, and other definitions.
+ Designed to accompany the \CORA\ toolbox, the package also facilitates beautiful visualizations through TikZ figures exported from Matlab and a custom color palette.
+ \end{abstract}
+ \end{minipage}
+\end{center}
+
+\newpage
+
+% table of contents ---
\tableofcontents
+\newpage
+
+% introduction ---
+
\section{Introduction}
-The \texttt{cora-macs} package is designed to assist in the representation and manipulation of various mathematical objects such as sets, intervals, zonotopes, and operations often encountered in cyber-physical systems analysis. It also includes predefined color schemes based on the TUM corporate design and other custom colors.
+The \texttt{cora-macs} package is written to accompany our toolbox \CORA\footnote{\CORA: \url{https://cora.in.tum.de/}} for continuous reachability analysis.
+It is designed to assist with the notation of various set representation and operations often encountered in cyber-physical systems analysis.
+It also includes predefined color schemes and and an option to export your figures from \CORA\ to \LaTeX.
\section{Installation}
To install the \texttt{cora-macs} package, follow these steps:
\begin{enumerate}
- \item Place the \texttt{cora.sty} file in your working directory or in a directory where LaTeX can find it (e.g., in the local \texttt{texmf} tree).
- \item Include the package in your LaTeX document with the command:
- \begin{verbatim}
- \usepackage{cora}
- \end{verbatim}
+ \item Place the \texttt{cora.sty} file in your working directory or in a directory where \LaTeX\ can find it (e.g., in the local \texttt{texmf} tree).
+ \item Include the package in your \LaTeX\ document preamble with the command:
+ \begin{verbatim}
+\usepackage[options]{cora-macs}
+\end{verbatim}
\end{enumerate}
-
-\section{Package Options}
+\vspace{-\baselineskip}
The \texttt{cora-macs} package provides several options that can be passed when loading the package. These options control the inclusion of different sets of commands.
\begin{itemize}
- \item \texttt{sets}: Includes commands for continuous set notation and operations.
- \item \texttt{operations}: Includes commands for various mathematical operations.
- \item \texttt{nn}: Includes commands for working with neural networks.
- \item \texttt{colors}: Defines a set of colors specific to the \texttt{cora-macs} package.
- \item \texttt{tumcolors}: Defines TUM-specific colors.
+ \item \texttt{sets}: Enables macros for working with continuous sets (\cref{sec:sets}).
+ \item \texttt{operations}: Enables macros for common operations in set-based computing (\cref{sec:operations}).
+ \item \texttt{nn}: Enables macros related to neural networks (\cref{sec:nn}).
+ \item \texttt{colors}: Defines a set of colors specific to the \texttt{cora-macs} package (\cref{sec:colors}).
+ \item \texttt{tikz}: Include your Matlab figures in \LaTeX\ for beautiful visualizations (\cref{sec:tikz}).
\end{itemize}
+\noindent
Example usage:
\begin{verbatim}
-\usepackage[sets, operations]{cora}
+\usepackage[sets, operations]{cora-macs}
\end{verbatim}
+
\section{Commands and Environments}
-\subsection{Sets (\texttt{sets} option)}
+\subsection{Continuous Sets (\texttt{sets} option)} \label{sec:sets}
When the \texttt{sets} option is enabled, the package provides several commands for defining and manipulating continuous sets.
\begin{itemize}
- \item \texttt{\textbackslash contSet\{name\}}: Defines a set in calligraphic font, e.g., $\contSet{A}$.
- \item \texttt{\textbackslash shortContSet[abbr]\{content\}\{set\}}: Defines a short-hand notation for continuous sets with optional abbreviation.
- \item \texttt{\textbackslash defContSet\{elements\}\{conditions\}}: Defines a set using the format $\{x \mid \text{conditions}\}$.
- \item \texttt{\textbackslash defContSetSplit\{elements\}\{conditions\}}: Defines a set with split conditions for better formatting in large equations.
- \item \texttt{\textbackslash shortI\{a\}\{b\}}: Defines a closed interval $[a, b]$.
- \item \texttt{\textbackslash defZ}: Defines a zonotope.
- \item \texttt{\textbackslash defPZ}: Defines a polynomial zonotope.
+ \item \verb|\contSet{name}|: Defines a set in calligraphic font, e.g., $\contSet{S}$.
+ \item \verb|\shortI{a}{b}|: Defines a closed interval $\shortI{a}{b}$. For example, the command \verb|$\contSet{I}=\shortI{1}{2}$| results in $\contSet{I}=\shortI{1}{2}$.
+ \item \verb|\defZ|: States the definition of a zonotope. For example,
+ \begin{verbatim}
+\begin{equation}
+ \contSet{Z}=\shortZ{c}{G}=\defZ
+\end{equation}
+\end{verbatim}
+ \vspace{-2\baselineskip}
+ results in
+ \begin{quote}
+ \begin{equation}
+ \contSet{Z}=\shortZ{c}{G}=\defZ
+ \end{equation}
+ \end{quote}
\end{itemize}
-\subsection{Operations (\texttt{operations} option)}
+Similar commands also exist for other set representations, which are accessible with its respective abbreviation.
+Please use the abbreviation
+\texttt{I} for intervals,
+\texttt{Z} for zonotopes, and
+\texttt{PZ} for polynomial zonotopes.
+
+\subsection{Operations (\texttt{operations} option)} \label{sec:operations}
Enabling the \texttt{operations} option introduces a variety of operations that are useful in mathematical and cyber-physical systems contexts.
\begin{itemize}
- \item \texttt{\textbackslash operator\{name\}\{args\}}: Defines a custom operator with the given name and arguments.
- \item \texttt{\textbackslash opEnclose\{set1\}\{set2\}}: Encapsulates a set within another.
- \item \texttt{\textbackslash opIntervalEnclosure\{interval\}}: Specifies an interval enclosure.
- \item \texttt{\textbackslash opProject\{dimension\}}: Projects a set onto a given dimension.
- \item \texttt{\textbackslash diag\{matrix\}}: Produces the diagonal matrix of the given input.
+ \item \verb|\operator{name}{args}|: Defines a custom operator with the given name and arguments.
\end{itemize}
+Some operations are already defined within the CORA package for reference. For example,
+\begin{itemize}
+ \item \verb|\opEnclose{S1}{S2}|: Computes the enclosure of two sets.
+ \item \verb|\opIntervalEnclosure{S}|: Specifies an interval enclosure.
+ \item \verb|\opProject{S}|: Projects a set onto a given dimension.
+ \item \verb|\diag{matrix}|: Results the diagonal matrix of the given input.
+\end{itemize}
-\subsection{Neural Networks (\texttt{nn} option)}
+The commands ensure that the surrounding parenthesis are large enough to capture the content.
+As this can look weird when used inline within text, one can use the option \texttt{inline} to disable the automatic scaling of the parenthesis.
+For example,
+\begin{verbatim}
+Given two sets $\contSet{S}$ and $\widetilde{\contSet{S}}$,
+the enclosure is computed using $\opEnclose{\contSet{S}}{\widetilde{\contSet{S}}}$.
+As this does not look very nice,
+let us try the \texttt{inline} option instead: $\opEnclose[inline]{\contSet{S}}{\widetilde{\contSet{S}}}$.
+\end{verbatim}
+results in
+\begin{quote}
+ Given two sets $\contSet{S}$ and $\widetilde{\contSet{S}}$,
+ the enclosure is computed using $\opEnclose{\contSet{S}}{\widetilde{\contSet{S}}}$.
+ As this does not look very nice,
+ let us try the \texttt{inline} option instead: $\opEnclose[inline]{\contSet{S}}{\widetilde{\contSet{S}}}$.
+\end{quote}
+
+\subsection{Neural Networks (\texttt{nn} option)} \label{sec:nn}
The \texttt{nn} option introduces commands related to neural networks, including notation for layers, inputs, outputs, and propagations.
\begin{itemize}
- \item \texttt{\textbackslash NN}: Represents the symbol for a neural network $\NN$.
- \item \texttt{\textbackslash nnLayer\{layer\}\{input\}}: Represents a neural network layer with a specified input.
- \item \texttt{\textbackslash nnInput}, \texttt{\textbackslash nnOutput}: Notation for input and output points in a neural network.
+ \item \verb|\NN|: Represents the symbol for a neural network $\NN$.
+ \item \verb|\nnLayer[name]{index}{input}|: Represents a neural network layer with a specified input. Thus \verb|$\nnLayer[LIN]{k}{x}$| results in $\nnLayer[LIN]{k}{x}$. Use \verb|\nnLayerName[name]{index}| to display the layer without explicit input.
\end{itemize}
+One also often wants to state the propagation of an input vector or a set through the network.
+For example,
+\begin{verbatim}
+Given an input $\nnInput\in\R^{\numNeurons_0}$ and a neural network $\NN$,
+the output $\nnOutput=\NN(\nnInput)\in\R^{\numNeurons_\numLayers}$ is computed by:
+\begin{align}
+ \begin{split}
+ \nnHidden_0 &= \nnInput, \\
+ \nnHidden_k &= \nnLayer{k}{\nnHidden_{k-1}}, \quad k\in[\numLayers], \\
+ \nnOutput &= \nnHidden_\numLayers.
+ \end{split}
+\end{align}
+\end{verbatim}
+results in
+\begin{quote}
+ Given an input $\nnInput\in\R^{\numNeurons_0}$ and a neural network $\NN$,
+ the output $\nnOutput=\NN(\nnInput)\in\R^{\numNeurons_\numLayers}$ is computed by:
+ \begin{align}
+ \begin{split}
+ \nnHidden_0 &= \nnInput, \\
+ \nnHidden_k &= \nnLayer{k}{\nnHidden_{k-1}}, \quad k\in[\numLayers], \\
+ \nnOutput &= \nnHidden_\numLayers.
+ \end{split}
+ \end{align}
+\end{quote}
-\subsection{Colors (\texttt{colors} and \texttt{tumcolors} options)}
-The \texttt{colors} and \texttt{tumcolors} options define a variety of colors that can be used in your documents.
+Similarly, the corresponding set commands \verb|\nnInputSet|, \verb|\nnHiddenSet|, and \verb|\nnOutputSet| can be used to describe the set propagation of the input:
+\begin{quote}
+ Given an input set $\nnInputSet\subset\R^{\numNeurons_0}$ and a neural network $\NN$,
+ the output $\nnOutputSet=\NN(\nnInputSet)\subset\R^{\numNeurons_\numLayers}$ is computed by:
+ \begin{align}
+ \begin{split}
+ \nnHiddenSet_0 &= \nnInputSet, \\
+ \nnHiddenSet_k &= \nnLayer{k}{\nnHiddenSet_{k-1}}, \quad k\in[\numLayers], \\
+ \nnOutputSet &= \nnHiddenSet_\numLayers.
+ \end{split}
+ \end{align}
+\end{quote}
+
+\subsection{Colors (\texttt{colors} option)} \label{sec:colors}
+The option \texttt{colors} define a variety of colors that can be used in your documents
+and is especially useful in combination with the \texttt{tikz} option (\cref{sec:tikz}).
+For example, these colors are available:
+
\begin{itemize}
- \item \texttt{\textbackslash definecolor\{CORAcolorReachSet\}}: A predefined color for reachability sets (blue).
- \item \texttt{\textbackslash definecolor\{TUMblue\}}: TUM corporate blue color.
+ \item \texttt{CORAcolor1}-\texttt{CORAcolor7}: Cycles through the default colors of CORA
+ (\showColor{CORAcolor1}\showColor{CORAcolor2}\showColor{CORAcolor3}\showColor{CORAcolor4}\showColor{CORAcolor5}\showColor{CORAcolor6}\showColor{CORAcolor7}).
+ \item \texttt{CORAcolorBlue}, \texttt{CORAcolorRed}, \ldots: Specifies default color values used in CORA
+ (\showColor{CORAcolorBlue}\showColor{CORAcolorRed}\showColor{CORAcolorYellow}\showColor{CORAcolorPurple}\showColor{CORAcolorGreen}\showColor{CORAcolorLightBlue}\showColor{CORAcolorDarkRed}).
+ \item \texttt{CORAcolorReachSet}: A predefined color for reachable sets (\showColor{CORAcolorReachSet}).
+ If two reachable sets are compared in one plot, one case use \texttt{CORAcolorReachSet2} (\showColor{CORAcolorReachSet2}).
+ The initial set and simulations can be plotted with \texttt{CORAcolorInitialSet} (\showColor{CORAcolorInitialSet}) and \texttt{CORAcolorSimulations} (\showColor{CORAcolorSimulations}), respectively.
+ \item \texttt{CORAcolorSafe}: A predefined color for safe sets (\showColor{CORAcolorSafe}).
+ \item \texttt{CORAcolorUnsafe}: A predefined color for unsafe sets (\showColor{CORAcolorUnsafe}).
+ As this color can be intimidating when used at large scale, there is also the \texttt{CORAcolorUnsafeLight} color (\showColor{CORAcolorUnsafeLight}).
+
+ \item \texttt{TUMblue}: TUM corporate blue color (\showColor{TUMblue}).
\end{itemize}
+\subsection{Tikz Figures (\texttt{tikz} option)}\label{sec:tikz}
+
+Visualizations are a crucial part in communicating your scientific findings.
+We found that the best option to do so is using tikz\footnote{Manual: \url{http://mirrors.ctan.org/graphics/pgf/base/doc/pgfmanual.pdf}}\footnote{Example: \url{https://www.overleaf.com/learn/latex/TikZ_package}} figures.
+The \texttt{tikz} option provides you with a wide variety of useful functionality.
+
+\subsubsection{Introduction}
+
+Let us create a small TikZ graphic in a file \texttt{./figures/mytikzfigure.tikz}:
+
+\begin{verbatim}
+\begin{tikzpicture}
+ \draw[CORAcolorBlue] (-6,0) rectangle (-4,2);
+ \draw[CORAcolorRed] (-2,1) circle (1cm);
+ \draw[CORAcolorYellow] (0,0) -- (0,1) -- (1,2) -- (2,2) -- (2,1) -- (1,0) -- (0,0);
+\end{tikzpicture}
+\end{verbatim}
+
+To include the figure in the main document, please use the following commands:
+\begin{verbatim}
+\begin{figure}
+ \centering
+ \includetikz{./figures/mytikzfigure}
+ \caption{My first TikZ figure.}
+ \label{fig:mytikzfigure}
+\end{figure}
+\end{verbatim}
+
+To compile the document, you need to enable shell-escape\footnote{Shell-escape: \url{https://tex.stackexchange.com/questions/598818/how-can-i-enable-shell-escape}}.
+Usually, this is achieved by adding the compiler argument \texttt{--shell-escape} when compiling the document.
+For example, run \texttt{pdflatex --shell-escape main.tex}.
+The code above then results in \cref{fig:mytikzfigure} within your document.
+\begin{figure}[h!]
+ \centering
+ \includetikz{./figures/mytikzfigure}
+ \caption{My first TikZ figure.}
+ \label{fig:mytikzfigure}
+\end{figure}
+
+Shell-escape allows \LaTeX\ to \emph{externalize} the tikz figures,
+i.e., creating a stand-alone PDF file which it can use in future compilations to speed up the compilation.
+The PDF file is located at \texttt{./figures/externalize/figures/mytikzfigure.pdf},
+which you can also use outside of your \LaTeX\ document.
+In case something is wrong with your tikz figures, you can also find a log file within the same directory.
+
+If you do not want to externalize your tikz image, you can use the \texttt{noexport} option:
+\begin{verbatim}
+\begin{figure}
+ \centering
+ \includetikz[noexport]{./figures/mytikzfigure}
+ \caption{My first TikZ figure.}
+\end{figure}
+\end{verbatim}
+
+If you cannot enable shell-escape but have access to the externalized PDF files,
+you can use \verb|\CORAexternalizeusepdf| to directly use the PDF files instead of the TikZ files.
+
+\subsubsection{Exporting Figures from Matlab/\CORA}
+As this package is designed to assist you with our toolbox \CORA\footnote{\CORA: \url{https://cora.in.tum.de/}},
+we also provide an option to export your Matlab figures to \LaTeX\ named \texttt{matlab2tikz}\footnote{matlab2tikz: \url{https://gitlab.lrz.de/cora/matlab2tikz}, fork from: \url{https://github.com/matlab2tikz/matlab2tikz}}.
+The resulting figures are then in TikZ/PGF\footnote{TikZ/PGF Manual: \url{http://mirrors.ctan.org/graphics/pgf/base/doc/pgfmanual.pdf}} format.
+Please ask for access if you want to use this option.
+
+After clone the repository and adding it to the Matlab path,
+you can convert your current open figure with
+\begin{verbatim}
+path = 'mymatlabfigure.fig';
+savefig(path);
+autoConvertToTikz(path);
+\end{verbatim}
+which makes use of the underlying \texttt{matlab2tikz} function by setting some optimization options. Type
+\begin{verbatim}
+open autoConvertToTikz
+\end{verbatim}
+for details.
+After successful conversion, you should find a file \texttt{mymatlabfigure.tikz} in the current directory.
+This figure can then be moved to your \LaTeX\ project and added to your document as above:
+\begin{verbatim}
+\begin{figure}
+ \centering
+ \includetikz{./figures/mymatlabfigure}
+ \caption{My first Matlab figure.}
+ \label{fig:mymatlabfigure}
+\end{figure}
+\end{verbatim}
+which results in \cref{fig:mymatlabfigure}.
+\begin{figure}[h!]
+ \centering
+ \includetikz{./figures/mymatlabfigure}
+ \caption{My first Matlab figure.}
+ \label{fig:mymatlabfigure}
+\end{figure}
+
+If you have a figure with multiple subplots, \texttt{matlab2tikz} creates multiple TikZ files:
+The main TikZ file contains all settings and plotting options of your figure,
+the content of each subplot is exported in a separate file,
+and an additional file for the legend of your figure is generated.
+Such a figure can be added as above but you have to specify the path to the TikZ files within the main TikZ file, e.g.,
+\begin{verbatim}
+\def\basepath{./figures/}
+\end{verbatim}
+An example figure is visible in \cref{fig:mymatlabgroupfigure}.
+
+Your figures can then be customized as required, e.g., adapting the color (also see \cref{sec:colors}), adding labels of the x- and y-axis, and adapt the legend entries.
+Please visit the TikZ/PGF manual\footnote{TikZ/PGF Manual: \url{http://mirrors.ctan.org/graphics/pgf/base/doc/pgfmanual.pdf}} for details.
+We have also found that large language models like ChatGPT work surprisingly well with TikZ,
+so you might want to consult them about specific requests.
+
+\begin{figure}[h!]
+ \centering
+ \includetikz{./figures/mymatlabgroupfigure}
+ \caption{My first Matlab figure with multiple subplots.}
+ \label{fig:mymatlabgroupfigure}
+\end{figure}
+
+\subsubsection{TikZ, Git, and Overleaf}
+If you synchronize your \LaTeX\ document with git,
+we recommend you to also synchronize the externalized PDF files.
+You can add \texttt{*.log}, \texttt{*.dpth}, and \texttt{*.md5} to your \texttt{.gitignore} and only need to synchronize the PDF itself.
+
+If you want to use this TikZ figures in Overleaf\footnote{Overleaf: \url{https://overleaf.com/}},
+we recommend you to build the figures locally and upload the PDF files into the correct folder.
+While you can also externalize the figures directly in Overleaf\footnote{Overleaf and TikZ: \url{https://tex.stackexchange.com/questions/596557/overleaf-cache-not-working-properly-with-tikzexternalize-and-include}},
+this has several disadvantages, e.g., having to rebuild all figures when re-opening the document after some time.
+Note: TUM students can also use the TUM instance of Overleaf, which is called ShareLaTeX\footnote{ShareLaTeX: \url{https://sharelatex.tum.de/}}.
+There, they can create a git repository out of the project (Menu $\textrangle$ Git) and clone the repository to interact with the project locally.
+
+\subsubsection{Animated Tikz Figures in Presentations}
+Generally, you can use the same commands as above to include your TikZ figures in presentations\footnote{Document class \texttt{beamer}: \url{https://www.overleaf.com/learn/latex/Beamer}}.
+However, this package also provides some nice commands to animate your figures.
+We provide an example presentation showcasing these options along with the respective animated TikZ figures in \texttt{./examples/presentation.tex}.
+
+To enable animations, please specify the number of overlays of the current frame and add the \texttt{animate} option when including a TikZ figure:
+\begin{verbatim}
+\begin{frame}<1-4>{Introduction to \CORA}
+ \CORA provides you with a wide range of plotting capabilities:
+ \begin{figure}
+ \includetikz[animate]{./figures/mymatlabfigure}
+ \end{figure}
+\end{frame}
+\end{verbatim}
+You can then animate a plot using the \texttt{visible on}/\texttt{invisible on} options. For example,
+\begin{verbatim}
+\addplot [color=CORAcolor1, visible on=<2->]
+\end{verbatim}
+only shows the respective plot from the second overlay onwards.
+You can also use \verb|\only<>{}| to display certain text only on certain slides.
+For example
+\begin{verbatim}
+\only<1|handout:0>{My secret message.}
+\end{verbatim}
+only shows this text on the first overlay of the current frame but not if the document is set to \texttt{handout} mode\footnote{Beamer \texttt{handout} mode: \url{https://tex.stackexchange.com/questions/473485/latex-beamer-handout-beamer-mode-with-overlays}}.
+This option can also be used inside TikZ figures, e.g., to specify node labels depending on the current overlay.
+
+Mode advances animations can be achieved using the \texttt{alt} option,
+which allows to alter the plot style depending on the current overlay (if-then-else).
+For example,
+\begin{verbatim}
+\nextgroupplot[..., plotstyle1/.append style={alt=<1>{fill=CORAcolor1}{fill=none}}]
+\end{verbatim}
+fills all objects with \texttt{plotstyle1} in the first overlay but not in subsequent overlays.
+This changes the style for each subplot. Alternatively, the style can also be animated across all subplots.
+\begin{verbatim}
+ \pgfplotsset{
+ plotstyle1/.style={...,alt=<2->{}{draw=none},alt=<2|handout:0>{fill=CORAcolor1!20}{}}
+ }
+\end{verbatim}
+
+\subsubsection{Drawing Neural Networks}
+
+This package also provides an option to draw neural networks:
+\begin{verbatim}
+\begin{tikzpicture}
+ % draw network
+ \pic[] at (0,0) { nn={3}{2,5,5,2}{0.15cm}{0.02cm} };
+
+ % label the third node in the second layer with a '#'
+ \node also [neuron label={\#}] (l2-3);
+\end{tikzpicture}
+\end{verbatim}
+which results in \cref{fig:neural-network}.
+
+\begin{figure}[h!]
+ \centering
+ \includetikz{./figures/neural-network}
+ \caption{Example neural network with a neuron label.}
+ \label{fig:neural-network}
+\end{figure}
+
\section{Examples}
Here are some examples demonstrating how to use the commands from the \texttt{cora-macs} package.
+We recommend to define \LaTeX\ commands for each variable you use in your document.
\subsection{Set Notation}
+For example, to denote the initial set, you can define
+\newcommand{\initialSet}{\contSet{X}_0}
\begin{verbatim}
-\contSet{X} = \shortContSet{a}{b}{X}
+\newcommand{\initialSet}{\contSet{X}_0}
\end{verbatim}
-This code will produce $\contSet{X} = \left<a, b\right>_X$.
+within your preamble and then use it within your document as follows:
+\begin{verbatim}
+\begin{equation}
+ \initialSet = \shortZ{c}{G}.
+\end{equation}
+\end{verbatim}
+which results in
+\begin{quote}
+ \begin{equation}
+ \initialSet = \shortZ{c}{G}.
+ \end{equation}
+\end{quote}
\subsection{Operations}
+To define a new operation, simply add
+\newcommand{\opLinComb}[3][]{\operatortt[#1]{linComb}{#2,#3}}
\begin{verbatim}
-\diag{A} = \operator{diag}{A}
+\newcommand{\opLinComb}[3][]{\operatortt[#1]{linComb}{#2,#3}}
\end{verbatim}
-This code will produce $\diag{A} = \text{\normalfont\small diag}(A)$.
+to your preamble and then use it within your document as follows:
+\begin{verbatim}
+Given two sets $\contSet{S}_1,\contSet{S}_2\subset\R^n$, their linear combination is defined as
+\begin{equation}
+ \opLinComb{\contSet{S}_1}{\contSet{S}_2} \coloneqq
+ \left\{ \lambda s_1 + (1-\lambda s_2)\ \middle|\
+ s_1\in\contSet{S}_1,\,s_2\in\contSet{S}_2,\,\lambda \in[0,1] \right\}.
+\end{equation}
+\end{verbatim}
+which results in
+\begin{quote}
+ Given two sets $\contSet{S}_1,\contSet{S}_2\subset\R^n$, the linear combination is defined as
+ \begin{equation}
+ \opLinComb{\contSet{S}_1}{\contSet{S}_2} \coloneqq
+ \left\{ \lambda s_1 + (1-\lambda s_2)\ \middle|\
+ s_1\in\contSet{S}_1,\,s_2\in\contSet{S}_2,\,\lambda \in[0,1] \right\}.
+ \end{equation}
+\end{quote}
\subsection{Neural Networks}
+To specify a specific network layer, one can write
\begin{verbatim}
-\NN(\nnInput) = \nnLayer{1}{\nnInput}
+A linear layer is defined as
+\begin{equation}
+ \nnLayer[LIN]{k}{\nnHidden_{k-1}} \coloneqq W\nnHidden_{k-1} + b,
+ \quad W\in\R^{\numNeurons_{k}\times\numNeurons_{k-1}},\, b\in\R^{\numNeurons_k}.
+\end{equation}
\end{verbatim}
-This code will produce $\NN(\nnInput) = L_1(\nnInput)$.
+which results in
+\begin{quote}
+ A linear layer is defined as
+ \begin{equation}
+ \nnLayer[LIN]{k}{\nnHidden_{k-1}} \coloneqq W\nnHidden_{k-1} + b,
+ \quad W\in\R^{\numNeurons_{k}\times\numNeurons_{k-1}},\, b\in\R^{\numNeurons_k}.
+ \end{equation}
+\end{quote}
\section{Concluding Remarks}
-The \texttt{cora-macs} package offers a comprehensive set of tools for researchers working in cyber-physical systems. By providing a consistent notation and color scheme, this package simplifies the process of documenting complex mathematical objects and operations.
-
+The \texttt{cora-macs} package offers a comprehensive set of tools for researchers working in cyber-physical systems.
+By providing a consistent notation and color scheme, this package simplifies the process of documenting complex mathematical objects and operations.
+We very much encourage you to extend the functionality of this package and define your own commands for everything you need to improve the consistency throughout your \LaTeX\ document.
+If you have suggestions to include certain commands in this package, please contact us and we are happy to discuss them!
For more information, visit the \href{https://www.ce.cit.tum.de/cps}{TUM CPS Group website}.
\end{document}
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--- trunk/Master/texmf-dist/doc/latex/cora-macs/examples/figures/mymatlabfigure_animated.tikz (rev 0)
+++ trunk/Master/texmf-dist/doc/latex/cora-macs/examples/figures/mymatlabfigure_animated.tikz 2024-12-11 20:27:13 UTC (rev 73101)
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\ No newline at end of file
Added: trunk/Master/texmf-dist/doc/latex/cora-macs/examples/figures/mymatlabgroupfigure_animated.tikz
===================================================================
--- trunk/Master/texmf-dist/doc/latex/cora-macs/examples/figures/mymatlabgroupfigure_animated.tikz (rev 0)
+++ trunk/Master/texmf-dist/doc/latex/cora-macs/examples/figures/mymatlabgroupfigure_animated.tikz 2024-12-11 20:27:13 UTC (rev 73101)
@@ -0,0 +1,34 @@
+\definecolor{mycolor1}{rgb}{0.00000,0.44700,0.74100}%
+\definecolor{mycolor2}{rgb}{0.85000,0.32500,0.09800}%
+\definecolor{mycolor3}{rgb}{0.92900,0.69400,0.12500}%
+%
+\begin{tikzpicture}
+ \footnotesize
+ \pgfplotsset{
+ plotstyle1/.style={color=mycolor1, forget plot,alt=<2->{}{draw=none},alt=<2|handout:0>{fill=mycolor1!20}{}},
+ plotstyle2/.style={color=mycolor2, forget plot,alt=<3->{}{draw=none},alt=<3|handout:0>{fill=mycolor2!20}{}},
+ plotstyle3/.style={color=mycolor3, forget plot,alt=<4->{}{draw=none},alt=<4|handout:0>{fill=mycolor3!20}{}}
+ }
+ \def\rows{1}
+ \def\cols{3}
+ \def\horzsep{1cm}
+ \def\basepath{./figures/}
+
+ \begin{groupplot}[%
+ group style={rows = \rows, columns = \cols, horizontal sep = \horzsep},
+ scale only axis,
+ width=1/\cols*\textwidth -\horzsep,
+ legend style={legend columns=2,legend to name=legendname, legend cell align=left,/tikz/every even column/.append style={column sep=0.5cm}}
+ ]
+ \nextgroupplot[xmin=-6.2,xmax=-3.8,ymin=-0.2,ymax=2.2]
+ \input{\basepath mymatlabgroupfigure_animated_11.tikz}
+ \coordinate (top) at (rel axis cs:0,1);
+ \nextgroupplot[xmin=-3.2,xmax=-0.8,ymin=-0.2,ymax=2.2]
+ \input{\basepath mymatlabgroupfigure_animated_12.tikz}
+ \nextgroupplot[xmin=-0.2,xmax=2.2,ymin=-0.2,ymax=2.2]
+ \input{\basepath mymatlabgroupfigure_animated_13.tikz}
+ \coordinate (bot) at (rel axis cs:1,0);
+ \end{groupplot}
+ \path (top|-current bounding box.south)--coordinate(legendpos)(bot|-current bounding box.south);
+
+\end{tikzpicture}%
\ No newline at end of file
Added: trunk/Master/texmf-dist/doc/latex/cora-macs/examples/figures/mymatlabgroupfigure_animated_11.tikz
===================================================================
--- trunk/Master/texmf-dist/doc/latex/cora-macs/examples/figures/mymatlabgroupfigure_animated_11.tikz (rev 0)
+++ trunk/Master/texmf-dist/doc/latex/cora-macs/examples/figures/mymatlabgroupfigure_animated_11.tikz 2024-12-11 20:27:13 UTC (rev 73101)
@@ -0,0 +1,9 @@
+% no need to adapt this file for the animation, see mymatlabgroupfigure.tikz
+\addplot [plotstyle1]
+ table[row sep=crcr]{%
+-6 0\\
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+};
Added: trunk/Master/texmf-dist/doc/latex/cora-macs/examples/figures/mymatlabgroupfigure_animated_12.tikz
===================================================================
--- trunk/Master/texmf-dist/doc/latex/cora-macs/examples/figures/mymatlabgroupfigure_animated_12.tikz (rev 0)
+++ trunk/Master/texmf-dist/doc/latex/cora-macs/examples/figures/mymatlabgroupfigure_animated_12.tikz 2024-12-11 20:27:13 UTC (rev 73101)
@@ -0,0 +1,505 @@
+% no need to adapt this file for the animation, see mymatlabgroupfigure.tikz
+\addplot [plotstyle2]
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Added: trunk/Master/texmf-dist/doc/latex/cora-macs/examples/figures/mymatlabgroupfigure_animated_13.tikz
===================================================================
--- trunk/Master/texmf-dist/doc/latex/cora-macs/examples/figures/mymatlabgroupfigure_animated_13.tikz (rev 0)
+++ trunk/Master/texmf-dist/doc/latex/cora-macs/examples/figures/mymatlabgroupfigure_animated_13.tikz 2024-12-11 20:27:13 UTC (rev 73101)
@@ -0,0 +1,11 @@
+% no need to adapt this file for the animation, see mymatlabgroupfigure.tikz
+\addplot [plotstyle3]
+ table[row sep=crcr]{%
+0 0\\
+0 1\\
+1 2\\
+2 2\\
+2 1\\
+1 0\\
+0 0\\
+};
Added: trunk/Master/texmf-dist/doc/latex/cora-macs/examples/figures/neural-network_animated.tikz
===================================================================
--- trunk/Master/texmf-dist/doc/latex/cora-macs/examples/figures/neural-network_animated.tikz (rev 0)
+++ trunk/Master/texmf-dist/doc/latex/cora-macs/examples/figures/neural-network_animated.tikz 2024-12-11 20:27:13 UTC (rev 73101)
@@ -0,0 +1,21 @@
+\begin{tikzpicture}
+ \pic[] at (0,0) { nn={3}{2,5,5,2}{0.15cm}{0.02cm} };
+
+ \node also [neuron label={\only<1|handout:0>{\#}}] (l1-1);
+ \node also [neuron label={\only<1|handout:0>{\#}}] (l1-2);
+
+ \node also [neuron label={\only<2|handout:0>{\#}}] (l2-1);
+ \node also [neuron label={\only<2|handout:0>{\#}}] (l2-2);
+ \node also [neuron label={\only<2|handout:0>{\#}}] (l2-3);
+ \node also [neuron label={\only<2|handout:0>{\#}}] (l2-4);
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+
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+ \node also [neuron label={\only<3|handout:0>{\#}}] (l3-2);
+ \node also [neuron label={\only<3|handout:0>{\#}}] (l3-3);
+ \node also [neuron label={\only<3|handout:0>{\#}}] (l3-4);
+ \node also [neuron label={\only<3|handout:0>{\#}}] (l3-5);
+
+ \node also [neuron label={\only<4-|handout:0>{\#}}] (l4-1);
+ \node also [neuron label={\only<4-|handout:0>{\#}}] (l4-2);
+\end{tikzpicture}
\ No newline at end of file
Added: trunk/Master/texmf-dist/doc/latex/cora-macs/examples/presentation.pdf
===================================================================
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Index: trunk/Master/texmf-dist/doc/latex/cora-macs/examples/presentation.pdf
===================================================================
--- trunk/Master/texmf-dist/doc/latex/cora-macs/examples/presentation.pdf 2024-12-11 20:26:46 UTC (rev 73100)
+++ trunk/Master/texmf-dist/doc/latex/cora-macs/examples/presentation.pdf 2024-12-11 20:27:13 UTC (rev 73101)
Property changes on: trunk/Master/texmf-dist/doc/latex/cora-macs/examples/presentation.pdf
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Added: trunk/Master/texmf-dist/doc/latex/cora-macs/examples/presentation.tex
===================================================================
--- trunk/Master/texmf-dist/doc/latex/cora-macs/examples/presentation.tex (rev 0)
+++ trunk/Master/texmf-dist/doc/latex/cora-macs/examples/presentation.tex 2024-12-11 20:27:13 UTC (rev 73101)
@@ -0,0 +1,78 @@
+\documentclass[t]{beamer}
+% \documentclass[handout]{beamer}
+
+
+% preamble
+\usepackage{amsmath}
+\usepackage{amssymb}
+\usepackage{hyperref}
+\usepackage[sets,operations,nn,colors,tikz]{../cora-macs}
+
+\title{The \texttt{cora-macs} Package}
+\author{Tobias Ladner, Lukas Koller\\
+ TUM - Cyber-Physical Systems Group\\
+ \texttt{\small tobias.ladner at tum.de, lukas.koller at tum.de}}
+\date{2024-12-11} % Should match the version on CTAN.
+
+
+% begin document ---
+\begin{document}
+
+% cover page ---
+
+\begin{frame}
+ \titlepage
+ \vspace{-1cm}
+ \begin{center}
+ \includegraphics[width=0.5\columnwidth]{../figures/coraLogo}
+ \end{center}
+\end{frame}
+
+\begin{frame}<1-4>{Introduction to \CORA}
+ \CORA\ provides you with a wide range of plotting capabilities:
+ \bigskip
+ \begin{figure}
+ \includetikz[animate]{./figures/mymatlabfigure_animated}
+ \end{figure}
+ \pause
+
+ We can plot intervals, \pause
+ ellipsoids, \pause
+ and zonotopes!
+\end{frame}
+
+\begin{frame}<1-5>{Figures with Multiple Subplots}
+ These animations also work for figures with multiple subplots and one can even get more advanced using the \texttt{alt} option:
+ \bigskip
+ \begin{figure}
+ \includetikz[animate]{./figures/mymatlabgroupfigure_animated}
+ \end{figure}
+ \pause
+
+ We can plot intervals, \pause
+ ellipsoids, \pause
+ and zonotopes!
+\end{frame}
+
+\begin{frame}<1-4>{Show Information on Specific Overlays}
+ Use \texttt{\textbackslash only} to show text on specific overlays.
+ \bigskip
+
+ \emph{Example:}\\
+ An input is propagated layer by layer through a neural network to compute its output.
+ \vfill
+ \begin{figure}
+ \includetikz[animate]{./figures/neural-network_animated}
+ \end{figure}
+ \vfill
+\end{frame}
+
+\begin{frame}{Conclusion}
+ We hope this short presentation gave a good overview about the capabilities of the \texttt{cora-macs} package to visualize and animate your TikZ figures.
+ \bigskip
+
+ If you have any questions, don't hesitate to contact us.
+\end{frame}
+
+\end{document}
+
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===================================================================
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+ plotstyle2/.style={color=mycolor2, forget plot},
+ plotstyle3/.style={color=mycolor3, forget plot}
+ }
+ \def\rows{1}
+ \def\cols{3}
+ \def\horzsep{1cm}
+ \def\basepath{./figures/}
+
+ \begin{groupplot}[%
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+ scale only axis,
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+ ]
+ \nextgroupplot[xmin=-6.2,xmax=-3.8,ymin=-0.2,ymax=2.2]
+ \input{\basepath mymatlabgroupfigure_11.tikz}
+ \coordinate (top) at (rel axis cs:0,1);
+ \nextgroupplot[xmin=-3.2,xmax=-0.8,ymin=-0.2,ymax=2.2]
+ \input{\basepath mymatlabgroupfigure_12.tikz}
+ \nextgroupplot[xmin=-0.2,xmax=2.2,ymin=-0.2,ymax=2.2]
+ \input{\basepath mymatlabgroupfigure_13.tikz}
+ \coordinate (bot) at (rel axis cs:1,0);
+ \end{groupplot}
+ \path (top|-current bounding box.south)--coordinate(legendpos)(bot|-current bounding box.south);
+
+\end{tikzpicture}%
\ No newline at end of file
Added: trunk/Master/texmf-dist/doc/latex/cora-macs/figures/mymatlabgroupfigure_11.tikz
===================================================================
--- trunk/Master/texmf-dist/doc/latex/cora-macs/figures/mymatlabgroupfigure_11.tikz (rev 0)
+++ trunk/Master/texmf-dist/doc/latex/cora-macs/figures/mymatlabgroupfigure_11.tikz 2024-12-11 20:27:13 UTC (rev 73101)
@@ -0,0 +1,8 @@
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Added: trunk/Master/texmf-dist/doc/latex/cora-macs/figures/mymatlabgroupfigure_12.tikz
===================================================================
--- trunk/Master/texmf-dist/doc/latex/cora-macs/figures/mymatlabgroupfigure_12.tikz (rev 0)
+++ trunk/Master/texmf-dist/doc/latex/cora-macs/figures/mymatlabgroupfigure_12.tikz 2024-12-11 20:27:13 UTC (rev 73101)
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Added: trunk/Master/texmf-dist/doc/latex/cora-macs/figures/mymatlabgroupfigure_13.tikz
===================================================================
--- trunk/Master/texmf-dist/doc/latex/cora-macs/figures/mymatlabgroupfigure_13.tikz (rev 0)
+++ trunk/Master/texmf-dist/doc/latex/cora-macs/figures/mymatlabgroupfigure_13.tikz 2024-12-11 20:27:13 UTC (rev 73101)
@@ -0,0 +1,10 @@
+\addplot [plotstyle3]
+ table[row sep=crcr]{%
+0 0\\
+0 1\\
+1 2\\
+2 2\\
+2 1\\
+1 0\\
+0 0\\
+};
Added: trunk/Master/texmf-dist/doc/latex/cora-macs/figures/mytikzfigure.tikz
===================================================================
--- trunk/Master/texmf-dist/doc/latex/cora-macs/figures/mytikzfigure.tikz (rev 0)
+++ trunk/Master/texmf-dist/doc/latex/cora-macs/figures/mytikzfigure.tikz 2024-12-11 20:27:13 UTC (rev 73101)
@@ -0,0 +1,5 @@
+\begin{tikzpicture}
+ \draw[CORAcolorBlue] (-6,0) rectangle (-4,2);
+ \draw[CORAcolorRed] (-2,1) circle (1cm);
+ \draw[CORAcolorYellow] (0,0) -- (0,1) -- (1,2) -- (2,2) -- (2,1) -- (1,0) -- (0,0);
+\end{tikzpicture}
\ No newline at end of file
Added: trunk/Master/texmf-dist/doc/latex/cora-macs/figures/neural-network.tikz
===================================================================
--- trunk/Master/texmf-dist/doc/latex/cora-macs/figures/neural-network.tikz (rev 0)
+++ trunk/Master/texmf-dist/doc/latex/cora-macs/figures/neural-network.tikz 2024-12-11 20:27:13 UTC (rev 73101)
@@ -0,0 +1,7 @@
+\begin{tikzpicture}
+ % draw network
+ \pic[] at (0,0) { nn={3}{2,5,5,2}{0.15cm}{0.02cm} };
+
+ % label the third node in the second layer with a '#'
+ \node also [neuron label={\#}] (l2-3);
+\end{tikzpicture}
\ No newline at end of file
Modified: trunk/Master/texmf-dist/tex/latex/cora-macs/cora-macs.sty
===================================================================
--- trunk/Master/texmf-dist/tex/latex/cora-macs/cora-macs.sty 2024-12-11 20:26:46 UTC (rev 73100)
+++ trunk/Master/texmf-dist/tex/latex/cora-macs/cora-macs.sty 2024-12-11 20:27:13 UTC (rev 73101)
@@ -2,7 +2,7 @@
% package information --------------------------------------------------------------------------------------------------
\NeedsTeXFormat{LaTeX2e}
-\ProvidesPackage{cora-macs}[2024-10-25]
+\ProvidesPackage{cora-macs}[2024-12-11] % Should match the version on CTAN.
% Authors: Tobias Ladner, Lukas Koller
% TUM - Cyber-Physical Systems Group
@@ -12,17 +12,29 @@
% required packages ----------------------------------------------------------------------------------------------------
+% general packages
\RequirePackage{xifthen}
\RequirePackage{xstring}
\RequirePackage{amsfonts}
+\RequirePackage{keyval}
+
+% color
\RequirePackage{xcolor}
+% tikz
+\RequirePackage{tikzscale}
+\RequirePackage{pgfplots}
+\RequirePackage{mathtools}
+\RequirePackage{graphics}
+\usepgfplotslibrary{external}
+
+
% pre-processing -------------------------------------------------------------------------------------------------------
% for better logging
\newcommand{\DeclareCORAOption}[2]{
\DeclareOption{#1}{
- % display information
+ % display information
\PackageInfo{cora-macs}{Loading '#1' option..}
% content
#2
@@ -36,21 +48,24 @@
% all sets should be written in mathcal
\newcommand{\contSet}[1]{\ensuremath{\mathcal{#1}}}
-% process options ------------------------------------------------------------------------------------------------------
+% CORA macro
+\providecommand{\CORA}[0]{{\color{black}C\color{red!90!black}O\color{black}RA}}
+% declare options ------------------------------------------------------------------------------------------------------
+
\DeclareCORAOption{sets}{ % --- continuous sets
- % contSet ---
+% contSet ---
- % formatting
+% formatting
\newcommand{\neghphantom}[1]{\settowidth{\dimen0}{#1}\hspace*{-\dimen0}}
% short-hand notation (including nice punctuation for large sets)
\newcommand{\shortContSet}[3][]{\ensuremath{% \defContSet[punctuation]{abbreviation}{cs parameters of set}
- \left<#2\right>_{#3\,}%
- \ifthenelse{\isempty{#1}}% add abbreviation
- {} % none given
- {\neghphantom{\scriptsize #3}#1\neghphantom{#1}\hphantom{\scriptsize #3}}
- }}
+ \left<#2\right>_{#3\,}%
+ \ifthenelse{\isempty{#1}}% add abbreviation
+ {} % none given
+ {\neghphantom{\scriptsize #3}#1\neghphantom{#1}\hphantom{\scriptsize #3}}
+ }}
\newcommand{\defContSet}[2]{\left\{ #1 \ \middle|\ #2 \right\}}
\newcommand{\defContSetSplit}[2]{\left\{ #1 \vphantom{#2} \ \right| \\ &\qquad \left. \vphantom{#1} #2 \right\}}
@@ -75,7 +90,7 @@
\DeclareCORAOption{operations}{ % --- operations
- % define monospace operator including inline operator
+% define monospace operator including inline operator
\newcommand{\operator}[3][]{%
\text{\normalfont\small#2}%
\IfSubStr{#1}{inline}% if inline
@@ -98,7 +113,7 @@
\newcommand{\opProject}[2][]{\operatortt{project}{#2}}
% operations that should be stantard latex operations
- \newcommand{\diag}[2][]{\operator[#1]{diag}{#2}}
+ \providecommand{\diag}[2][]{\operator[#1]{diag}{#2}}
\providecommand{\Diag}[2][]{\operator[#1]{Diag}{#2}}
\providecommand{\mod}[3][]{\operator[#1]{mod}{#2,#3}}
\newcommand{\dia}[2][]{\operator[#1]{dia}{#2}}
@@ -106,16 +121,16 @@
}
-\DeclareCORAOption{nn}{ % ------ neural networks
+\DeclareCORAOption{nn}{ % --- neural networks
- % neural network
+% neural network
\newcommand{\NN}[0]{\ensuremath{\Phi}}
\newcommand{\numLayers}[0]{\ensuremath{\kappa}}
\newcommand{\numNeurons}[0]{\ensuremath{n}}
% layers
- \newcommand{\nnLayerName}[2]{\ensuremath{L_{#1}^\text{#2}}}
- \newcommand{\nnLayer}[3]{\ensuremath{\nnLayerName{#1}{#2}\left(#3\right)}}
+ \newcommand{\nnLayerName}[2][]{\ensuremath{L_{#2}^\text{#1}}}
+ \newcommand{\nnLayer}[3][]{\ensuremath{\nnLayerName[#1]{#2}\left(#3\right)}}
\newcommand{\nnActFun}{\ensuremath{\phi}}
\newcommand{\actfun}{\nnActFun} % remove?
@@ -135,6 +150,10 @@
% set-based training
\newcommand{\nnTarget}{\ensuremath{t}}
+ \newcommand{\regrSub}{MSE}
+ \newcommand{\ceSub}{CE}
+ \newcommand{\pointLoss}{\ensuremath{E}}
+ \newcommand{\setLoss}{\ensuremath{\widetilde{E}}}
% other
\newcommand{\nnPertRadius}{\epsilon}
@@ -144,19 +163,20 @@
}
-% --- colors
+%
-\DeclareCORAOption{colors}{ % --- cora colors
+\DeclareCORAOption{colors}{% --- colors
- % cora colors (see CORAcolor in cora)
+% cora colors (see CORAcolor in cora) --- cora colors
\definecolor{CORAcolorReachSet}{rgb}{0.2706, 0.5882, 1.0000} % blue
\definecolor{CORAcolorReachSet2}{rgb}{0.6902, 0.8235, 1.0000} % light-blue
- \definecolor{CORAcolorOnitialSet}{rgb}{1, 1, 1} % white
+ \definecolor{CORAcolorInitialSet}{rgb}{1, 1, 1} % white
\definecolor{CORAcolorFinalSet}{rgb}{0.9000, 0.9000, 0.9000} % light-gray
- \definecolor{CORAcolorSimulations}{rgb}{0.9000, 0.9000, 0.9000} % black
+ \definecolor{CORAcolorSimulations}{rgb}{0.0000, 0.0000, 0.0000} % black
\definecolor{CORAcolorUnsafe}{rgb}{0.9451, 0.5529, 0.5686} % red
\definecolor{CORAcolorUnsafeLight}{rgb}{0.9059, 0.7373, 0.7373} % light red
\definecolor{CORAcolorSafe}{rgb}{0.4706, 0.7725, 0.4980} % light green
+ \definecolor{CORAcolorUnknown}{rgb}{0.9290, 0.6940, 0.1250} % yellow
\colorlet{CORAcolorInvariant}{CORAcolorSafe} % light green
% default colors (also default matlab colors)
@@ -179,10 +199,8 @@
\definecolor{CORAcolorHighlight1}{rgb}{1.0000,0.6824,0.2980} % 'CORA:highlight1 (orange)'
\definecolor{CORAcolorHighlight2}{rgb}{0.3804,0.6275,1.0000} % 'CORA:highlight2 (lightblue)'
-}
-\DeclareCORAOption{tumcolors}{ % ---- tum colors
-
+ % --- TUM colors
\definecolor{TUMblue}{rgb}{0.00, 0.40, 0.74}
\definecolor{TUMgray}{rgb}{0.85, 0.85, 0.86}
\definecolor{TUMpantone285C}{rgb}{0.00, 0.45, 0.81}
@@ -192,7 +210,150 @@
}
-% process all options
+\DeclareCORAOption{tikz}{ % --- tikz
+
+% groupplots
+ \usepgfplotslibrary{groupplots}
+ \usetikzlibrary{pgfplots.groupplots}
+ \usetikzlibrary{matrix}
+ \usetikzlibrary{patterns}
+ \usetikzlibrary{arrows,arrows.meta}
+
+ % main packages
+ \pgfplotsset{compat=1.18}
+
+ % tikz externalize
+ \providecommand{\includetikzinternalpath}{./figures/externalize}
+ \providecommand{\includetikzupdatepath}[1]{\renewcommand{\includetikzinternalpath}[1]{##1}}
+ \tikzexternalize[prefix=\includetikzinternalpath/]
+ % include tikz
+ \providecommand{\includetikzinternalusetikz}[1]{%
+ \tikzset{external/export next=\CORAtikzexternalize}
+ \tikzsetnextfilename{\CORAtikzname{#1}}%
+ \input{#1.tikz}%
+ }
+ % reuse externalized pdf
+ \providecommand{\includetikzinternalusepdf}[1]{%
+ \IfSubStr{\CORAtikzexternalize}{true}{
+ % include pdf if exists
+ \IfFileExists{{\includetikzinternalpath/\CORAtikzname{#1}.pdf}}{
+ % include pdf
+ \includegraphics{\includetikzinternalpath/\CORAtikzname{#1}.pdf}
+ }{
+ % show error message
+ \texttt{
+ \tiny \sloppy
+ The file ''\expandafter\detokenize\expandafter{\includetikzinternalpath}/\expandafter\detokenize\expandafter{\CORAtikzname{#1}}.pdf`` does not exist and has to be exported first.
+ Please re-compile with tikz externalize and shell escape enabled.
+ Check the documentation for details.
+ }
+ }
+ }{
+ % call tikz
+ \includetikzinternalusetikz{#1}
+ }
+ }
+ % set up commands for tikz options (default: false)
+ \providecommand{\CORAtikzname}[1]{#1}
+ \providecommand{\CORAtikzexternalize}{true}
+ \providecommand{\CORAtikzsetupoptions}[1]{
+ % option 'animate': externalize with overlaynumber
+ \IfSubStr{#1}{animate}{
+ % have overlay number in name to have each overlay as separate pdf
+ \renewcommand{\CORAtikzname}[1]{##1-animate-\overlaynumber}
+ \mode<handout>{
+ % additionally have one pdf for handout mode
+ \renewcommand{\CORAtikzname}[1]{##1-animate-handout}
+ }
+ }{
+ \renewcommand{\CORAtikzname}[1]{##1}
+ }
+ % option 'noexternalize'/'noexport': whether figure should be externalized
+ \IfSubStr{#1}{noexternalize}{
+ \renewcommand{\CORAtikzexternalize}{false}
+ }{
+ \IfSubStr{#1}{noexport}{
+ \renewcommand{\CORAtikzexternalize}{false}
+ }{
+ \renewcommand{\CORAtikzexternalize}{true}
+ }
+ }
+ }
+ % main command to include tikz
+ \providecommand{\includetikz}[2][]{\texttt{Not yet initialized}}
+ % make tikz/pdf selectable
+ \providecommand{\CORAexternalizeusetikz}{\renewcommand{\includetikz}[2][]{\CORAtikzsetupoptions{##1}\includetikzinternalusetikz{##2}}}
+ \providecommand{\CORAexternalizeusepdf}{\renewcommand{\includetikz}[2][]{\CORAtikzsetupoptions{##1}\includetikzinternalusepdf{##2}}}
+ \CORAexternalizeusetikz
+
+ \tikzset {external/optimize=true}
+ % ensure
+ \makeatletter
+ \providecommand*{\overlaynumber}{\number\beamer at slideinframe}
+ \makeatother
+
+ % styling
+ \pgfplotsset{every axis/.append style={
+ ylabel near ticks,
+ xlabel near ticks,
+ }}
+ \tikzset{
+ >={Stealth[length=1mm]},
+ }
+
+ % frame animations - in-/visible on for tikz objects
+ \tikzset{
+ alt/.code args={<#1>#2#3}{%
+ \alt<#1>{\pgfkeysalso{#2}}{\pgfkeysalso{#3}} % \pgfkeysalso doesn't change the path
+ },
+ invisible/.style={opacity=0},
+ visible on/.style={alt={#1{}{invisible}}},
+ invisible on/.style={alt={#1{invisible}{}}},
+}
+
+% tikz neural networks
+\tikzset{
+ pics/nn/.style n args={4}{code={ % args: number of layers, list of hidden neurons, size of neuron, distance between neurons
+ \pgfmathsetmacro{\d}{#4};
+ \pgfmathsetmacro{\hn}{#1};
+ \foreach[count=\i] \h in {#2} { % draw network
+ \foreach \ii in {1,...,\h} { % draw layer
+ \node[circle,fill=CORAcolorBlue!75,draw=CORAcolorBlue,thick,inner sep={#3}] (l\i-\ii) at ({1.0cm*(\i-1-0.5*(\hn-1))},{\d*(\ii-0.5*(\h+1))}) {}; % \d*(\ii-1+0.5*Mod(\h,2))
+ };
+ };
+ % connect neurons
+ \foreach[count=\i] \hi in {#2} { %
+ \foreach[count=\j] \hj in {#2} { %
+ \pgfmathtruncatemacro{\dji}{\j-\i};
+ \ifnum\dji=1
+ \foreach \ii in {1,...,\hi} { %
+ \foreach \jj in {1,...,\hj} { %
+ \draw (l\i-\ii.east) -- (l\j-\jj.west); %
+ };
+ };
+ \fi
+ };
+ };
+ },
+ },
+ neuron label/.style n args={1}{label={[font=\footnotesize,text=white]center:#1}},
+ pics/zono3/.style n args={2}{code={\filldraw (0,-{#1}) -- (-{#2},-{#1}) -- (-{#2},0) -- (0,{#1}) -- ({#2},{#1}) -- ({#2},0) -- cycle;}},
+ pics/lossArrows3/.style n args={2}{code={\draw (0,0) -- ({0.5*#2},{0.5*#1}) -- ({0.5*#2},{#1}) -- ({#2},{#1});}},
+}
+
+\pgfplotsset{
+ enclosurefunction/.style={color=black, forget plot},
+ enclosureset/.style={color=CORAcolorGreen, forget plot},
+ enclosuresetbounds/.style={color=CORAcolorGreen, dashed, forget plot},
+ enclosureinputbounds/.style={color=TUMgray, dashed, forget plot},
+ enclosurepolynomial/.style={color=CORAcolorBlue, forget plot},
+ enclosureerror/.style={color=CORAcolorRed, forget plot},
+}
+
+}
+
+% process options ------------------------------------------------------------------------------------------------------
+
\ProcessOptions\relax
% post-processing ------------------------------------------------------------------------------------------------------
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