Estoy intentando crear un diagrama de flujo animado con Tikz y quiero usar la matriz de Tikz dentro de los nodos de mi diagrama de flujo como se puede ver a continuación.
La idea es que tanto la matriz A como la B se resalten de la siguiente manera
Con los cuadros de colores cambiando de posición con el tiempo a medida que se ejecuta la animación. Cuando intento ingresar una matriz Tikz, los nodos matemáticos no tienen el tamaño adecuado, aquí está mi código para alguna matriz Alfa dentro de un nodo de diagrama de flujo
\node (out1) [data,on chain,join] {$\alpha,\beta$
$
\alpha =
\begin{tikzpicture}[baseline=(m-2-1.base)]
\matrix [{matrix of math nodes}, column sep=5pt, row sep=1pt,
left delimiter=(,right delimiter=),ampersand replacement=\&] (m)
{
1 \& 1 \& 1 \& 0 \& 0 \\
0 \& 0 \& 0 \& 1 \& 0 \\
0 \& 0 \& 0 \& 0 \& 1 \\
};
\node[myNo=red, fit=(m-1-1) (m-1-3)] {};
\node[myNo=green, fit=(m-2-4) (m-2-4)] {};
\node[myNo=blue, fit=(m-3-5) (m-3-5)] {};
\end{tikzpicture}
$
};
Muchas gracias por su ayuda.
romano
Respuesta1
Logré encontrar una solución de diagrama de flujo animado de Tikz usando los paquetes Tikz y Animate. Idealmente, estaba buscando una manera de ejecutar la animación en los cuadros alrededor de los elementos de la matriz, pero esta solución funcionó para lo que intentaba mostrar.
Espero que esto pueda ser útil para algunos de ustedes.
Si tiene alguna idea sobre cómo animar cuadros dentro de las matrices en lugar de cambiar los colores de los elementos de la matriz, sería genial.
romano
\documentclass[aspectratio=169]{beamer}
\mode<presentation> {
\usetheme{Madrid}
}
\usepackage{booktabs} % Allows the use of \toprule, \midrule and \bottomrule in tables
\usepackage{stmaryrd}
\usepackage{mathtools}
\usepackage{tikz}
\usepackage{animate}
\usepackage{ifthen}
\usepackage{color}
\usetikzlibrary{shapes,arrows,chains,fit,matrix}
%---------------------------------------------------------------------------
% TIKZ COMMANDS
%---------------------------------------------------------------------------
\tikzset{
myNo/.style={
draw=#1, thick,
inner sep=0pt,
rounded corners
},
startstop/.style={
rectangle,
rounded corners,
minimum width=2.5cm,
minimum height=1cm,
align=center,
draw=black,
fill=red!20
},
process/.style={
rectangle,
minimum width=2cm,
minimum height=0.75cm,
align=center,
draw=black,
fill=blue!10
},
data/.style={
trapezium,
trapezium left angle=70,
trapezium right angle=-70,
minimum width=2cm,
minimum height=0.75cm,
align=center,
draw=black,
fill=blue!10
},
decision/.style={
diamond,
minimum width=0.75cm,
minimum height=0.75cm,
align=center,
draw=black,
fill=green!20
},
arrow/.style={
thick,->,>=stealth
}
}
\begin{document}
\pgfdeclarelayer{background}
\pgfdeclarelayer{foreground}
\pgfsetlayers{background,main,foreground}
\tiny
\begin{frame}
\frametitle{Weak interactions based system partitioning using binary LP}
\begin{columns}[c]
\column{.25\textwidth}
Given a \textbf{linear time invariant continuous time} controllable state space model defined by
\begin{equation} \label{eqn1}
\dot{x} = Ax + Bu
\end{equation}
where the matrix $A$ is the \textbf{state matrix} and the matrix $B$ is the
\textbf{input matrix} respectively with the appropriate sizes for $N$ states
and $M$ inputs, therefore, $x \in \mathbb{R}^{N}$ and $u \in
\mathbb{R}^{M}$. Partitioning the system model (\ref{eqn1}) consists of
decomposing the inputs as well as the states into groups representing
subsystems. For a given number of partitions $P \in \llbracket 2;\min(N,M)
\rrbracket$ and for any subsystem $p \in \llbracket 1;P \rrbracket$ the
model of subsystem $p$ can be expressed as follows
\begin{equation} \label{eqn2}
\begin{aligned}
\dot{x}_{p} &= A_{pp} x_{p} + B_{pp} u_{p} \\
&+ \sum_{\substack{j=1 \\ j \neq p}}^{P} \big\{ A_{pj} x_{j} + B_{pj} u_{j} \big\}
\end{aligned}
\end{equation}
with for all $p \in \llbracket 1;P \rrbracket$, $x_{p} \in \mathbb{R}^{N_{p}}$ and $u_{p} \in \mathbb{R}^{M_{p}}$.
\column{.75\textwidth}
\begin{center}
\begin{animateinline}[poster=first,controls,loop]{1} % 1 frames per sec
\multiframe{10}{iTime=1+1}{ % 10 frames
\begin{tikzpicture}[
start chain=going below,
every join/.style={arrow},
node distance=0.4cm,
scale=0.75,
every node/.style={transform shape}]
% Nodes
\node (start) [startstop,on chain] {
$A =
\left( {\begin{array}{cccc}
a_{11} & a_{12} & a_{13} & a_{14} \\
a_{21} & a_{22} & a_{23} & a_{24} \\
a_{31} & a_{32} & a_{33} & a_{34} \\
a_{41} & a_{42} & a_{43} & a_{44} \\
\end{array} } \right)
$
$B =
\left( {\begin{array}{cccc}
b_{11} & b_{12} & b_{13} & b_{14} \\
b_{21} & b_{22} & b_{23} & b_{24} \\
b_{31} & b_{32} & b_{33} & b_{34} \\
b_{41} & b_{42} & b_{43} & b_{44} \\
\end{array} } \right)
$
$
P = 2
$
};
\node (in1) [process,on chain] {Interactions Minimization};
\ifthenelse{\iTime < 3}{ \node (out1) [data,on chain] {
$
\alpha =
\left( {\begin{array}{cccc}
? & ? & ? & ? \\
? & ? & ? & ? \\
\end{array} } \right)
$
$
\beta =
\left( {\begin{array}{cccc}
? & ? & ? & ? \\
? & ? & ? & ? \\
\end{array} } \right)
$};}{\ifthenelse{\iTime > 6}{\node (out1) [data,on chain] {
$
\alpha =
\left( {\begin{array}{cccc}
1 & 1 & 1 & 0 \\
0 & 0 & 0 & 1 \\
\end{array} } \right)
$
$
\beta =
\left( {\begin{array}{cccc}
1 & 1 & 0 & 1 \\
0 & 0 & 1 & 0 \\
\end{array} } \right)
$};}{\node (out1) [data,on chain] {
$
\alpha =
\left( {\begin{array}{cccc}
1 & 1 & 0 & 0 \\
0 & 0 & 1 & 1 \\
\end{array} } \right)
$
$
\beta =
\left( {\begin{array}{cccc}
1 & 1 & 0 & 0 \\
0 & 0 & 1 & 1 \\
\end{array} } \right)
$
};}}
\ifthenelse{\iTime < 4}{ \node (out2) [data,on chain] {
$A =
\left( {\begin{array}{cccc}
a_{11} & a_{12} & a_{13} & a_{14} \\
a_{21} & a_{22} & a_{23} & a_{24} \\
a_{31} & a_{32} & a_{33} & a_{34} \\
a_{41} & a_{42} & a_{43} & a_{44} \\
\end{array} } \right)
$
$B =
\left( {\begin{array}{cccc}
b_{11} & b_{12} & b_{13} & b_{14} \\
b_{21} & b_{22} & b_{23} & b_{24} \\
b_{31} & b_{32} & b_{33} & b_{34} \\
b_{41} & b_{42} & b_{43} & b_{44} \\
\end{array} } \right)
$
};}{\ifthenelse{\iTime > 7}{\node (out2) [data,on chain] {
$A =
\left( {\begin{array}{cccc}
\textcolor{red}{a_{11}} & \textcolor{red}{a_{12}} & \textcolor{red}{a_{13}} & a_{14} \\
\textcolor{red}{a_{21}} & \textcolor{red}{a_{22}} & \textcolor{red}{a_{23}} & a_{24} \\
\textcolor{red}{a_{31}} & \textcolor{red}{a_{32}} & \textcolor{red}{a_{33}} & a_{34} \\
a_{41} & a_{42} & a_{43} & \textcolor{blue}{a_{44}} \\
\end{array} } \right)
$
$B =
\left( {\begin{array}{cccc}
\textcolor{red}{b_{11}} & \textcolor{red}{b_{12}} & b_{13} & \textcolor{red}{b_{14}} \\
\textcolor{red}{b_{21}} & \textcolor{red}{b_{22}} & b_{23} & \textcolor{red}{b_{24}} \\
\textcolor{red}{b_{31}} & \textcolor{red}{b_{32}} & b_{33} & \textcolor{red}{b_{34}} \\
b_{41} & b_{42} & \textcolor{blue}{b_{43}} & b_{44} \\
\end{array} } \right)
$
};}{\node (out2) [data,on chain] {
$A =
\left( {\begin{array}{cccc}
\textcolor{red}{a_{11}} & \textcolor{red}{a_{12}} & a_{13} & a_{14} \\
\textcolor{red}{a_{21}} & \textcolor{red}{a_{22}} & a_{23} & a_{24} \\
a_{31} & a_{32} & \textcolor{blue}{a_{33}} & \textcolor{blue}{a_{34}} \\
a_{41} & a_{42} & \textcolor{blue}{a_{43}} & \textcolor{blue}{a_{44}} \\
\end{array} } \right)
$
$B =
\left( {\begin{array}{cccc}
\textcolor{red}{b_{11}} & \textcolor{red}{b_{12}} & b_{13} & b_{14} \\
\textcolor{red}{b_{21}} & \textcolor{red}{b_{22}} & b_{23} & b_{24} \\
b_{31} & b_{32} & \textcolor{blue}{b_{33}} & \textcolor{blue}{b_{34}} \\
b_{41} & b_{42} & \textcolor{blue}{b_{43}} & \textcolor{blue}{b_{44}} \\
\end{array} } \right)
$
};}}
\node (in2) [decision,on chain] {Controllability
\\
Check
};
\node (out3) [process,right of=out1,node distance=150pt] {Controllability Cuts};
\node (out4) [data,on chain] {Controllable Partitions};
% Draw
\draw[arrow] (start) -- node[right,xshift=5pt] {Inputs} (in1);
\draw[arrow] (in1) -- node[right,xshift=5pt] {Optimal Solution} (out1);
\draw[arrow] (out1) -- (out2);
\draw[arrow] (out2) -- (in2);
\draw[arrow] (in2.east) -| node[below,yshift=-5pt] {Not Controllable} (out3.south);
\draw[arrow] (out3.north) |- node[above,yshift=5pt] {Cuts applied} (in1.east);
\draw[arrow] (in2) -- node[right,xshift=5pt] {Controllable}(out4);
% Path
\begin{pgfonlayer}{background}
\ifthenelse{\iTime > 1}{
\path[draw,line width=5pt,-,blue!50] (start) edge node {} (in1);}{}
\ifthenelse{\iTime > 2}{
\path[draw,line width=5pt,-,red!50] (in1) edge node {} (out1);}{}
\ifthenelse{\iTime > 3}{
\path[draw,line width=5pt,-,red!50] (out1) edge node {} (out2);}{}
\ifthenelse{\iTime > 4 \AND \iTime < 6}{
\path[draw,line width=5pt,-,red!50] (out2) edge node {} (in2);
\path[draw,line width=5pt,-,red!50] (in2.east) -| (out3.south);}{}
\ifthenelse{\iTime > 5 \AND \iTime < 7}{
\path[draw,line width=5pt,-,red!50] (out3.north) |- (in1.east);}{}
\ifthenelse{\iTime > 6}{
\path[draw,line width=5pt,-,green!50] (in1) edge node {} (out1);}{}
\ifthenelse{\iTime > 7}{
\path[draw,line width=5pt,-,green!50] (out1) edge node {} (out2);}{}
\ifthenelse{\iTime > 8}{
\path[draw,line width=5pt,-,green!50] (out2) edge node {} (in2);}{}
\ifthenelse{\iTime > 9}{
\path[draw,line width=5pt,-,green!50] (in2) edge node {} (out4);}{}
\end{pgfonlayer}
\end{tikzpicture}
}
\end{animateinline}
\end{center}
\end{columns}
\end{frame}
\end{document}