The crmath LaTeX Package

A LaTeX package for typesetting math stuff. Use it at your own risk. Anything might change in future versions without further notice.

Version:1.4 Author:Christoph Reller Download:

The style file: crmath.sty

The documentation: crmath.pdf

Source:https://bitbucket.org/philexander/crmath License:GPL License

The tikzmake LaTeX Package

A LaTeX package that facilitates the usage of the TikZ externalization library in list and make mode. This includes my former “Universal Makefile for LaTeX”. Use it at your own risk. Anything might change in future versions without further notice.

Version:0.2 Author:Christoph Reller Download:

The style file: tikzmake.sty

The makefile: tikzmake

The documentation: tikzmake.pdf

Source:https://bitbucket.org/philexander/tikzmake License:GPL License

Graphics in LaTeX with PGF

PGF (“Portable Graphics Format”) is a LaTeX-based low-level description language for general drawing. Based on PGF there are two higher level LaTeX packages TikZ (“TikZ ist kein Zeichenprogramm”) for drawing diagrams and pgfplots for plotting. In this document, I give some example uses of these two packages. Many more examples can be found here.

Being LaTeX packages, PGF/TikZ and pgfplots work inside a LaTeX document, compiled with latex or pdflatex. PGF and TikZ are packaged together in the package pgf. The two packages pgf and pgfplots can be installed:

• as part of the LaTeX distributions “TeXlive” and “MikTeX”
• from CTAN: pgf, pgfplots
• from the development websites: pgf, pgfplots

For the last two options (from CTAN or development websites) the installation under UNIX-like systems is done by simply copying the sources to ~/texmf, where ~ stands for a users home directory (e.g. /home/‹username›) or the default system installation path (e.g. /usr/share).

Both packages come with comprehensive manuals. PGF/TikZ is documented in one manual, pgfplots in a separate manual.

TikZ

General Information and LaTeX Preamble

The PGF/TikZ package needs to be included in the LaTeX preamble as:

\usepackage{tikz}

Additionally, TikZ provides some add-on libraries which are included in the preamble as:

\usetikzlibrary{‹library name(s)›}

where ‹library name(s)› is a comma-separated list of names, e.g:

\usetikzlibrary{arrows}

In the document body, drawings are made inside a tikzpicture environment. An example skeleton LaTeX file looks like:

\documentclass{article}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[‹options›]
  ‹tikz command›;
  ‹more tikz commands›
\end{tikzpicture}
\end{document}

The ‹options› allow the definition of your own drawing styles as:

‹style name›/.style={‹TikZ options›}

where ‹style name› is a user-defined name, e.g. ‹options› may contain:

box/.style={draw,minimum size=6mm}

Alternatively, drawing styles can be defined in the LaTeX preamble as:

\tikzstyle{‹style name›}=[‹TikZ options›]

the above example translates to:

\tikzstyle{box}=[draw,minimum size=6mm]

If you reuse styles, then you should define them in the preamble.

Example: Factor Graph

Used TikZ-libraries:

arrows:for latex' arrows fit:for the red box

\begin{tikzpicture}
[node distance=19mm,auto,>=latex',
  box/.style={draw, minimum size=0.6cm},
  short/.style={node distance=14mm}]
\node (start) {$\cdots$};
\node[box,right of=start] (A) {$A$} edge[<-] node[above,pos=0.6]
  {$X_{k-1}$} (start);
\node[box,right of=A] (eq) {$=$} edge[<-] (A);
\node[right of=eq] (end) {$\cdots$} edge[<-] node[above] {$X_k$}
  (eq);
\node[box,short,below of=eq] (C) {$C$} edge[<-] (eq);
\node[box,short,below of=C] (sum) {$+$} edge[<-] node {$Y_k$}
  (C);
\node[box,left of=sum,label={above:$\mathcal N$}] (N) {} edge[->]
  node {$Z_k$} (sum);
\node[short,below of=sum] (y) {} edge[<-] node[pos=0.2]
  {$Y_k = y_k$} (sum);
\node[box,red,inner sep=2mm,fit=(A)(eq)(C)(N)(sum)] {};
\end{tikzpicture}

Example: More Complex Factor Graph

The TiKZ style parameter scale scales the whole picture but does not change the text size. To change the text size too, we additionally use transform shape. The example illustrates many other things.

Used TikZ-libraries:

arrows:for latex' arrows fit:for the dotted box

\begin{tikzpicture}
[scale=0.9, transform shape, node distance=17mm, auto, >=latex',
  min/.style={minimum size=5.5mm, inner sep=1pt},
  box/.style={min,draw},
  h/.style={min,draw,minimum width=10mm},
  vdots/.style={min, node distance=9mm},
  nosep/.style={inner sep=0pt, outer sep=0pt},
  dot/.style={circle,fill,nosep,anchor=center},
  lab/.style={nosep,above=4pt,minimum width=9mm},
  g/.style={box,densely dotted,inner sep=4pt}]
\pgfkeys{/dots/.code 2 args={\path (#1) -- node[dot,pos=0.25] {}
  node[dot,pos=0.5] {} node[dot,pos=0.75] {} (#2);}}
\foreach \ysh/\m in {0mm/1,-45mm/M} {
  \begin{scope}[yshift=\ysh]
    \node[box,label={[lab,name=fud\m]$\overrightarrow\mu_{U_\m}$}]
      (fu\m) {};
    \node[min,left of=fu\m] (e1\m) {$=$} edge[<-] node[above]
      {$U_\m$} (fu\m);
    \node[h,left of=e1\m] (H1\m) {$H_1^{(\m)}$} edge[<-] (e1\m);
    \node[vdots,below of=H1\m] (d3\m) {};
    \node[vdots,below of=e1\m] (d4\m) {};
    \node[vdots,below of=d4\m] (eL\m) {};
    \node[h,left of=eL\m] (HL\m) {$H_L^{(\m)}$} edge[<-] (eL\m);
    \draw (d4\m.north west) -- (e1\m.north west) --
      (e1\m.north east) --(d4\m.north east);
    \draw (d4\m.south west) -- (eL\m.south west) --
      (eL\m.south east) -- (d4\m.south east);
    \node[g,fit=(HL\m)(fud\m)(fu\m)] (g\m) {};
    \node[min,at=(g\m.south east),anchor=south west] (glab\m)
      {$g_\m$};
  \end{scope}
}
\node[nosep,fit=(g1)(gM)] (dummy) {};
\node[min,at=(dummy.center)] (dd) {};
\node[vdots,left of=dd,node distance=4cm] (dp) {};
\node[vdots,box,above of=dp] (p1) {$+$} edge[<-,out=20,in=180]
  (H11) edge[<-,out=340,in=180] (H1M);
\node[vdots,box,below of=dp] (pL) {$+$} edge[<-,out=20,in=180]
  (HL1) edge[<-,out=340,in=180] (HLM);
\node[box,left of=p1,label=above:{$\overleftarrow{\mu}_{S_1}$}]
  (s1) {} edge[<-] node[above] {$S_1$} (p1);
\node[box,left of=pL,label=above:{$\overleftarrow{\mu}_{S_L}$}]
  (sL) {} edge[<-] node[above] {$S_L$} (pL);
\foreach \top/\bot in {dp.north/dp.south, dd.north/dd.south,
  d31.north/d31.south, d41.north east/d41.south east,
  d41.north west/d41.south west, d3M.north/d3M.south,
  d4M.north east/d4M.south east, d4M.north west/d4M.south west}
  \pgfkeys{/dots={\top}{\bot}};
\end{tikzpicture}

A Circuit Diagram

There are even circuit drawing libraries:

circuits.ee.IEC:  for electrical circuit drawing

\begin{tikzpicture}
[circuit ee IEC,set resistor graphic=var resistor IEC graphic,
  x=2cm,y=2cm]
\newdimen\h \h=3cm;
\draw (0,0) to [voltage source={direction info={<-},info={$u$}},
  current direction={near end,info={$i$}}] ++(up:\h)
  to [resistor={info={$R_{\mathrm{e}}$}}] ++(right:1)
  to [inductor={info={$L_{\mathrm{e}}$},name=le}] ++(right:1);
\node [contact,right of=le] (c1) {};
\draw (c1) to ++(up:0.5) to [inductor={info={$L_2$}}] ++(right:1)
  to [contact={name=c2}] ++(down:1)
  to [resistor={info={$R_2$}}] ++(left:1) to (c1);
\node [contact,right of=c2] (c3) {};
\draw (c2) to (c3);
\node [contact,right of=c3] (c4) {};
\node [contact,below of=c3,node distance=\h] (c5) {};
\node [contact,right of=c5] (c6) {};
\draw (c4) to [current direction={info=$v$}] ++(right:0.5)
  to [capacitor={info={$C_{\mathrm{m}}$}}] ++(right:0.5)
  to [inductor={info={$M_{\mathrm{m}}$}}] ++(right:1)
  to [resistor={info={$R_{\mathrm{m}}$}}] ++(right:1) |- (c6);
\draw (0,0) to (c5);
\draw (c3) -- ++(up:0.2) -| (c4);
\draw (c5) -- ++(down:0.2) -| (c6);
\draw (c3) -- (c5) (c4) -- (c6);
\node (gyr) at ($(c3)!0.5!(c6)$) {$Bl$};
\draw[->,>=latex] (gyr -| c3) ++(left:2mm) ++(up:0.5) --
  node[left] {$Blv$} ++(down:1);
\draw[->,>=latex] (gyr -| c4) ++(right:2mm) ++(up:0.5) --
  node[right] {$Bli$} ++(down:1);
\end{tikzpicture}

pgfplots

General Information and Preamble

The PGF/TikZ and the pgfplots package need to be included in the LaTeX LaTeX preamble as:

\usepackage{tikz,pgfplots}

To use the features and slightly different spacings of the newest package version you have to add the following line to the LaTeX preamble:

\pgfplotsset{compat=newest}

or:

\pgfplotsset{compat=1.5}

Plots are done inside a tikzpicture environment by using an axis environment within which we can add curves by means of \addplot:

\begin{tikzpicture}[‹options›]
  \begin{axis}[‹axis options›]
    \addplot[‹options›] ‹plotting command›;
    ‹more commands›
  \end{axis}
\end{tikzpicture}

Different ‹plotting command›s allow three fundamentally different ways of plotting:

• Plotting of data
• Plotting of an analytic function
• Plotting using a gnuplot interface

I will only give examples for the first two.

Alternatively, ‹axis options› can be defined in the LaTeX preamble as:

\pgfplotsset{‹axis options›}

Example: Plot of an Analytic Function

The options used here are more or less self-explanatory.

\begin{tikzpicture}
\begin{axis}[xlabel=$x$,grid=major,xmin=-3,xmax=0,width=6cm]
  \addplot[blue,very thick] expression[domain=-3:0] {-x^3};
  \addplot[red,mark=*,semithick] expression[domain=-3:0]
    {-x^3*ln(x^2)};
  \legend{$-x^3$,$-x^3\ln(x^2)$};
\end{axis}
\end{tikzpicture}

Example: More Complex Plot of Some Analytic Functions

In the \addplot command, we can leave away the keyword expression. The command \addplot+ append the given options to default options. This behavior is used in conjunction with cycle list to automatically cycle through a defined list of colors. The exact position of plotting points can be given by samples at=‹list›. The position of the legend is determined with legend pos=‹position›. The vertical alignment of legend entries can be specified by legend cell align=‹alignment›. The actual legend is done manually by \addlegendimage and \addlegendentry.

\begin{tikzpicture}
\begin{axis}
  [width=7cm,height=8cm,xmin=-2,xmax=2,grid=major,
    no markers,thick,xlabel=$\mb{U}$,
    legend pos=south east,legend cell align=left,
    cycle list={blue,blue,red,red,green,green,violet,violet},
    title={$\sigmab{U}^2={\color{violet}0}\,,{\color{green}0.5}
      \,,{\color{red}1}\,,{\color{blue}1.5}$}]
  \addlegendimage{dashed}
  \addlegendentry{$\hat{\theta}_\mathrm{ML}$}
  \addlegendimage{solid}
  \addlegendentry{$\hat{u}_\mathrm{MAP}$}
  \foreach \ss in {1.5,1,0.5,0} {
    \pgfmathsetmacro{\sq}{sqrt(\ss)};
    \pgfmathsetmacro{\sqp}{\sq + 0.05};
    \def\samplist{-2,-1.95,...,-\sq,-\sq,\sq,\sqp,...,2,2}
    \addplot+[dashed,samples at=\samplist] {sqrt(max(x^2-\ss,0))};
    \addplot+[solid,samples at=\samplist] {(x^2-\ss)/x};
  }
\end{axis}
\end{tikzpicture}