Changing the color and labels of a plot in a loop in pgf [duplicate]

I’m trying to plot a the first few functions in a sequence of functions. For now my code looks like that:


\begin{center}
\begin{tikzpicture}
\begin{axis}[axis lines = left,
xlabel = $x$,
ylabel = $y$,
xmin = 0,
xmax=10,
ymin=-0.1,
ymax = 0.4,
legend pos = outer north east];
\addlegendentry{$\sup_{x\in I}\card{f_n}$}
\foreach \n in {1,2,...,7}{
}
\end{axis}
\end{tikzpicture}
\end{center}
\end{document}



But as you can see in the code each plot is red. Is there a way so that each function is plotted with a different color while still plotting them with a loop ? In the same vein can I add a legend entry for each function the loop like f_1(x), f_2(x), ..., f_7(x) ? Changing the color for each plot is discussed here Change color of \addplot in a \foreach loop (pgfplots) but I couldn’t get what they did working, I don’t actually understand everything (ie what does \edef or \noexpand or \temp do) and I’m not looking necessarily at having a gradient of colors, I’m ok with random colors as long as they’re different. I havent used pgfplots for a while I’m not quite sure how to go about any of this. Any help is appreciated.

For foreach loops in pgfplots you have to add noexpand for each expression. With the evaluate comand you can calculate a value according to the loop variable.

\documentclass[border=5pt]{standalone}
\usepackage{pgfplots}

\begin{document}

\begin{tikzpicture}

\begin{axis}[
axis lines=left,
xlabel=$x$,
ylabel=$y$,
xmin=0,
xmax=10,
ymin=-0.1,
ymax=0.4,
legend pos=outer north east];

domain=0:10,
samples=100,
color=gray,
dashed,
]{sqrt(2)/2*exp(-pi/4)};

%           \addlegendentry{$\sup_{x\in I}\card{f_n}$} %<-causing some error
\foreach [evaluate=\i as \n using (\i)*100/(7)] \i in {1,2,...,7} {%
\edef\temp{%
\noexpand
domain=0:10,
samples=500,
color=red!\n!blue,
smooth,
]
{sin(deg(\i*x))*exp(-\i*x)};
}\temp
}
\end{axis}

\end{tikzpicture}

\end{document}


• Ok thanks this works well! What is still unclear is what exactly do the commands \edef and \temp do ? Mar 25 at 15:21
• As I understood it, you define the plot as temp and 'plot' it after the loop. You can try redefine \temp (e.g., \test, ...) and call it before and after the loop. Mar 25 at 15:26
• BTW, what does \card in the legend do? Mar 25 at 15:32
• oh yeah that's a macro I picked up from an old prof I had, in my preamble I usually have \newcommand{\card}[1]{\left | #1 \right |} Mar 25 at 15:40