[Tex/LaTex] No room for a new \dimen when including TikZ

tikz-pgf

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No room for a new \dimen

I have a fairly large document which uses 30 or so packages. I was going to add some TikZ graphics, so I added the following to my header file:

\usepackage{tikz,pgfplots}

However, this gave me a lot of errors of the type

! No room for a new \dimen .

After looking around, this seems to be related to a limitation of TeX. Is it not possible to use TikZ with many other packages? I am using MikTeX 2.9 and pdflatex.

Best Answer

Write

\usepackage{etex}

just after the \documentclass line (it should be the first loaded package).

Related Solutions

[Tex/LaTex] How to draw spherical geometries with TeX

This is a long answer since there are good tools for spherical geometry scattered all around, so I created a few sections addressing those tools.

tikz-3dplot:especially tdplotdrawarc

I suggest to use \tdplotdrawarc . This is explained in the TikZ and PGF Manual. You need to define three angles $\alpha$, $\beta$ and $\gamma$ for the arc, theen the radius, origin, initial and final angle. I include here and example with the angles used. With this example you can build new examples explaining other angle combinations.

\documentclass[12pt]{article}
\usepackage{amsmath}
\usepackage{enumerate}
\usepackage{tikz}
\usepackage{xcolor}
\usepackage{tikz-3dplot}
\usepackage{hyperref}
\usepackage{pgfplots}
\usetikzlibrary{calc,3d,intersections, positioning,intersections,shapes}

\newcommand{\InterSec}[3]{%
  \path[name intersections={of=#1 and #2, by=#3, sort by=#1,total=\t}]
  \pgfextra{\xdef\InterNb{\t}}; }

  \begin{document}
      \begin{center}
          \begin{tikzpicture}[scale=2]
            \pgfmathsetmacro\R{sqrt(3)} 
            \fill[ball color=white!10, opacity=0.1] (0,0,0) circle (\R); % 3D lighting effect
            \tdplotsetmaincoords{80}{110}
            \begin{scope}[tdplot_main_coords, shift={(0,0)}]
              \coordinate (O) at (0,0,0);
               % circle around Cp

            % rotate circle to make it look better.

              \pgfmathsetmacro{\thetavec}{0}
              \pgfmathsetmacro{\phivec}{0}
              \tdplotsetrotatedcoords{\phivec}{\thetavec}{0}
              \tdplotdrawarc[tdplot_rotated_coords,color=blue]{(O)}{\R}{-70}{110}{}{}
              \tdplotdrawarc[tdplot_rotated_coords,color=blue, dashed]{(O)}{\R}{110}{290}{}{}
              \node[] at (-1,2,1) {\textcolor{blue}{\scriptsize 
              $\alpha=\thetavec \, ,  \, $\beta=\phivec}};

              \pgfmathsetmacro{\thetavec}{90};
              \tdplotsetrotatedcoords{\phivec}{\thetavec}{0};
              \tdplotdrawarc[tdplot_rotated_coords,color=brown]{(O)}{\R}{0}{180}{}{};
              \tdplotdrawarc[tdplot_rotated_coords,color=brown, dashed]{(O)}{\R}{180}{360}{}{};
              \node[yshift=4 mm] at (-1,2,1) {\textcolor{brown}{\scriptsize $\alpha=\thetavec \, ,  \, 
                  $\beta=\phivec}};

              \pgfmathsetmacro{\phivec}{90}
              \tdplotsetrotatedcoords{\phivec}{\thetavec}{0};
              \tdplotdrawarc[tdplot_rotated_coords,color=red]{(O)}{\R}{0}{180}{}{};
              \tdplotdrawarc[tdplot_rotated_coords,color=red, dashed]{(O)}{\R}{180}{360}{}{};
              \node[yshift=8 mm] at (-1,2,1) {\textcolor{red}{\scriptsize $\alpha=\thetavec \, ,  \, 
                  $\beta=\phivec}};



              %axis
              \coordinate (X) at (5,0,0) ;
              \coordinate (Y) at (0,3,0) ;
              \coordinate (Z) at (0,0,3) ;

              \draw[-latex] (O) -- (X) node[anchor=west] {$X$};
              \draw[-latex] (O) -- (Y) node[anchor=west] {$Y$};
              \draw[-latex] (O) -- (Z) node[anchor=west] {$Z$};

            \end{scope}
          \end{tikzpicture}
        \end{center}
 \end{document}

The corresponding figure is: $example of \tdplotdrawarc$

Here is a post which addresses the drawing an equator when the north pole is given. A simple macro to speed up coding draw an equator when north pole is known .

Fake 2D, intersections package, and the instruction to [bend right], to [bend left]

Sometimes is better to say away from thinking and trying to do 3D. So I am contradicting here myself with the advise of using tikz-3dplot . Think how to draw a 3D thinking 2D (that is ellipses and arcs).

The next example is an improvement over an example shown here Spherical triangles and great circles . The code is based on @Tarass great insight. The example is shown here more to show the capabilities of Tikz and the use of it for other purposes. As I said, it is better to use, in general \tdplotdrawarc .

Here is the piece of code (copied and modified from @Tarass code)

\documentclass[12pt]{article}
\usepackage{amsmath}
\usepackage{enumerate}
\usepackage{tikz}
\usepackage{xcolor}
\usepackage{tikz-3dplot}
\usepackage{hyperref}
\usepackage{pgfplots}
\usetikzlibrary{calc,3d,intersections, positioning,intersections,shapes}
\pgfplotsset{compat=1.11} 


\newcommand{\InterSec}[3]{%
  \path[name intersections={of=#1 and #2, by=#3, sort by=#1,total=\t}]
  \pgfextra{\xdef\InterNb{\t}}; }

   \begin{document}
    \begin{center}
       \begin{tikzpicture}

       \pgfmathsetmacro\R{2} 
       \fill[ball color=white!10, opacity=0.2] (0,0,0) circle (\R); % 3D lighting effect



        \foreach \angle[count=\n from 1] in {-5,225,290} {

          \begin{scope}[rotate=\angle]
            \path[draw,dashed,name path global=d\n] (2,0) arc [start angle=0,
              end angle=180,
              x radius=2cm,
            y radius=1cm] ;
            \path[draw,name path global=s\n] (-2,0) arc [start angle=180,
              end angle=360,
              x radius=2cm,
            y radius=1cm] ;
          \end{scope}
        }
        \InterSec{s1}{s2}{I3} ;
        \InterSec{s1}{s3}{I2} ;
        \InterSec{s3}{s2}{I1} ;
        %
        \fill[fill=red,opacity=0.5] (I1) to [bend right=8.5]  (I2) to [bend left=7] 
        (I3) to [bend left=6] (I1);

        \InterSec{d1}{d2}{J3} ;
        \InterSec{d1}{d3}{J2} ;
        \InterSec{d3}{d2}{J1} ;
        %\fill[blue] (J1)--(J2)--(J3)--cycle ;

        \fill[fill=blue,opacity=0.5] (J1) to [bend right=8.5]  (J2) to [bend left=7] 
        (J3) to [bend left=6] (J1);

      \end{tikzpicture}
    \end{center}
    \end{document}

and here the picture.

Drawing lunes could be hard sometimes. I first refer to an StackExchange link with a problem with drawing lunes and solutions both in metapost and TiKz. The link is: How to draw a lune and shade it in TiKz

I offer here another figure showing the duality between a segment and its lune. In this particular example I combine 3D and 2D, so back into suggesting the use of tikz-3dplot: the code is next:

\documentclass[12pt]{article}
\usepackage{amsmath}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{calc,3d,decorations.markings, backgrounds, positioning,intersections,shapes}
\usepackage{pgfplots}

\newcommand{\InterSec}[3]{%
  \path[name intersections={of=#1 and #2, by=#3, sort by=#1,total=\t}]
  \pgfextra{\xdef\InterNb{\t}}; 
}


 \newcommand\getEquator[2]
  {
    \def\yt{#1}
    \def\zt{#2}

    \pgfmathsetmacro{\betav}{acos(\zt)};

    \def\gammav{0}
    \ifthenelse{\equal{\betav}{0.0}}
    {
      \def\alphav{0}
    }
    {
      \pgfmathsetmacro{\alphav}{asin(\yt/(sin(\betav))}
    };
  }


   % to color a line
        \tikzset{test/.style={
          postaction={
            decorate,
            decoration={
              markings,
              mark=at position \pgfdecoratedpathlength-0.5pt with 
              {\arrow[blue,line width=#1] {>}; },
              mark=between positions 0 and \pgfdecoratedpathlength step 0.5pt with {
                \pgfmathsetmacro\myval{multiply(divide(
                  \pgfkeysvalueof{/pgf/decoration/mark info/distance from start}, 
                \pgfdecoratedpathlength),100)};
                \pgfsetfillcolor{blue!\myval!green};
                \pgfpathcircle{\pgfpointorigin}{#1};
                \pgfusepath{fill};}
              }
            }
          }
        }




    \begin{document}

    \begin{tikzpicture}[scale=1.3]
      \coordinate (O) at (0,0,0);

      \tdplotsetmaincoords{60}{110}
      \pgfmathsetmacro\R{sqrt(3)} 
      \fill[ball color=white!10, opacity=0.2, name path global=C] (O) circle (\R); % 3D lighting effect
      \begin{scope}[tdplot_main_coords, shift={(0,0)}]
        \pgfmathsetmacro\R{sqrt(3)} 
        \pgfmathsetmacro{\thetavec}{0};
        \pgfmathsetmacro{\phivec}{0};
        \pgfmathsetmacro{\gammav}{0};
        \tdplotsetrotatedcoords{\phivec}{\thetavec}{\gammav};


        \def\angA{90}
        \def\angB{60}
        \pgfmathsetmacro{\ax}{cos(\angA)}
        \pgfmathsetmacro{\ay}{sin(\angA)}
        \pgfmathsetmacro{\z}{0}
        \pgfmathsetmacro{\bx}{cos(\angB)}
        \pgfmathsetmacro{\by}{sin(\angB)}
        \pgfmathsetmacro{\aax}{\R*cos(\angA)}
        \pgfmathsetmacro{\aay}{\R*sin(\angA)}
        \pgfmathsetmacro{\bbx}{\R*cos(\angB)}
        \pgfmathsetmacro{\bby}{\R*sin(\angB)}

        \coordinate (A) at (\aax,\aay,\z);
        \coordinate (B) at (\bbx,\bby,\z);




        \getEquator{\ay}{\z};
        \tdplotsetrotatedcoords{\alphav}{\betav}{\gammav};
        \tdplotdrawarc[tdplot_rotated_coords,color=green, name path global=GF, opacity=0]
           {(0,0)}{\R}{180}{360}{}{};
        \tdplotdrawarc[tdplot_rotated_coords,color=green, name path global=GB, opacity=0]
           {(0,0)}{\R}{0}{180}{}{};

        \tdplotdrawarc[tdplot_rotated_coords,color=yellow, name path=YB, opacity=0]
           {(0,0)}{\R}{90}{180}{}{};

        \getEquator{\by}{\z};
        \tdplotsetrotatedcoords{\alphav}{\betav}{\gammav};
        \tdplotdrawarc[tdplot_rotated_coords,color=blue, name path=BF, opacity=0]
            {(0,0)}{\R}{180}{360}{}{};
        \tdplotdrawarc[tdplot_rotated_coords,color=blue, name path=BB, opacity=0]
           {(0,0)}{\R}{0}{180}{}{};

        \tdplotdrawarc[tdplot_rotated_coords,color=red, name path=RB, opacity=0]
           {(0,0)}{\R}{90}{180}{}{};

        %\draw[color=red] (A) arc (\angA:\angB:\R); 
        \draw[test=0.2mm] (A) arc (\angA:\angB:\R); 



        \InterSec{GF}{BF}{F};
        \InterSec{GB}{BB}{B};
        \InterSec{C}{GF}{CG};
        \InterSec{C}{BF}{CB};
        \InterSec{C}{RB}{RC};
        \InterSec{GB}{RB}{RBF};
        \InterSec{YB}{C}{T};

        %\draw[] (F) circle (1pt) node[] {\; \; \tiny F};
        %\draw[] (CG) circle (1pt) node[] {\tiny CG};
        %\draw[] (CB) circle (1pt) node[] {\tiny CB};
        %\draw[] (B) circle (1pt) node[] {\tiny B};
        %\draw[] (RBF) circle (1pt) node[] {\; \; \tiny RBF};
        %\draw[] (T) circle (1pt) node[] {\tiny T};
        %\draw[] (RC) circle (1pt) node[] {\tiny RC};




              %axis
        \coordinate (X) at (4,0,0) ;
        \coordinate (Y) at (0,3,0) ;
        \coordinate (Z) at (0,0,3) ;

        \draw[-latex] (O) -- (X) node[anchor=east] {\; \; $X$};
        \draw[-latex] (O) -- (Y) node[anchor=north] {$Y$};
        \draw[-latex] (O) -- (Z) node[anchor=south west] {$Z$};

        \shade[left color=blue, right color=green, opacity=0.8] (F) to [bend right=50] (CB) to 
        [bend right=10] (CG) to [bend left]  (F);
        \shade[left color=blue, right color=green, opacity=0.3] (CB) to [bend right=10] (CG) to 
        [bend right]  (B) to [bend left] (CB);

        \shade[left color=green, right color=blue, opacity=0.3] (B) to [bend right=60] (RC) to 
        [bend right=10]  (RBF) to [bend left ] (B);
        \shade[left color=green, right color=blue, opacity=0.8] (F) to [bend left=10] (RC) to 
        [bend right=10]  (T) to [bend right] (F);

      \end{scope}
    \end{tikzpicture}



     \end{document}

and the figure is here:

Conversion of Coordinates and alternatives for drawing arcs

In spherical geometry understanding where coordinates (a point) are and how to draw arcs is a fundamental issue.

There could be confusion because spherical coordinates for mathematicians and phycisist use different symbols, the following link provides macros for conversion between spherical (azimuth, polar) and cartesian coordinates and addresses conversions in terms of geografic (latidue, altitude) coordinates as well: spherical coordinates in 3d .

Finally since TiKz do not seem to have tools to draw arcs given a center and a radius I wrote a macro and posted here .

[Tex/LaTex] Gnuplot-Tikz-TeXstudio setting problem

I think you are a little bit confused about TikZ capabilities and of course the package pgfplots. First problem is that you need to let pdflatex or whichever engine you are using to reach out the system commands. For example, I use TeXnicCenter and my command line parameters are configured as

-synctex=-1 -max-print-line=120 -interaction=nonstopmode "%wm" -shell-escape

The last bit allows for system calls (and the "%wm" bit is equivalent to your %.tex). And direct compilation of your code gives me

but I don't have TeXStudio so I couldn't test it. However the idea is essentially the same.

Alternatively you can use TikZ or pgfplots for plotting functions if your function is not really esoteric or complicated.

Here are two examples :

In TikZ you replace one line of your code with

\draw plot (\x,{sin(\x r)}) node[right] {$f(x) = \sin x$};

And in pgfplots with default settings

\documentclass[a4paper]{article}
\usepackage{pgfplots,mathrsfs}

\begin{document}
\begin{tikzpicture}
\begin{axis}[axis lines=middle,xmax=6,ymin=-1,ymax=1]
    \addplot[domain=0:4] {sin(deg(x))} node[right]{$f(x)=\sin(x)$};
\end{axis}
\end{tikzpicture}
\end{document}

Best Answer

Related Solutions

[Tex/LaTex] How to draw spherical geometries with TeX

[Tex/LaTex] Gnuplot-Tikz-TeXstudio setting problem

Related Question