From 957aeb141e1e62fc19b0aedb3bc36ad058226250 Mon Sep 17 00:00:00 2001 From: Karl Berry Date: Mon, 18 Feb 2008 00:19:53 +0000 Subject: pgfplots update (17feb08) git-svn-id: svn://tug.org/texlive/trunk@6666 c570f23f-e606-0410-a88d-b1316a301751 --- Master/texmf-dist/doc/latex/pgfplots/changelog.txt | 31 + Master/texmf-dist/doc/latex/pgfplots/manual.bib | 9 - .../doc/latex/pgfplots/manual.examples.tex | 443 - .../doc/latex/pgfplots/manual.install.tex | 98 - .../texmf-dist/doc/latex/pgfplots/manual.intro.tex | 673 -- Master/texmf-dist/doc/latex/pgfplots/manual.pdf | 11284 ------------------ .../doc/latex/pgfplots/manual.reference.tex | 777 -- Master/texmf-dist/doc/latex/pgfplots/manual.tex | 94 - .../doc/latex/pgfplots/matlab2pgfplots.m | 332 + .../doc/latex/pgfplots/matlab2pgfplots.sh | 80 + Master/texmf-dist/doc/latex/pgfplots/pgf2pdf.sh | 24 +- .../doc/latex/pgfplots/pgfmathlogtest.tex | 174 +- Master/texmf-dist/doc/latex/pgfplots/pgfplots.bib | 9 + .../doc/latex/pgfplots/pgfplots.examples.tex | 899 ++ .../doc/latex/pgfplots/pgfplots.importexport.tex | 44 + .../doc/latex/pgfplots/pgfplots.install.tex | 103 + .../doc/latex/pgfplots/pgfplots.intro.tex | 673 ++ Master/texmf-dist/doc/latex/pgfplots/pgfplots.pdf | 11875 +++++++++++++++++++ .../doc/latex/pgfplots/pgfplots.reference.tex | 1043 ++ Master/texmf-dist/doc/latex/pgfplots/pgfplots.tex | 118 + .../texmf-dist/doc/latex/pgfplots/pgfplotstest.tex | 884 +- Master/texmf-dist/doc/latex/pgfplots/todo.txt | 403 +- .../tex/latex/pgfplots/liststructure.sty | 2 +- .../texmf-dist/tex/latex/pgfplots/pgfmathlog.sty | 262 +- Master/texmf-dist/tex/latex/pgfplots/pgfplots.sty | 2387 ++-- .../tex/latex/pgfplots/pgfplotshelpers.sty | 13 +- Master/texmf-dist/tex/latex/pgfplots/sciformat.sty | 861 ++ 27 files changed, 19149 insertions(+), 14446 deletions(-) create mode 100644 Master/texmf-dist/doc/latex/pgfplots/changelog.txt delete mode 100644 Master/texmf-dist/doc/latex/pgfplots/manual.bib delete 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Master/texmf-dist/doc/latex/pgfplots/pgfplots.pdf create mode 100644 Master/texmf-dist/doc/latex/pgfplots/pgfplots.reference.tex create mode 100644 Master/texmf-dist/doc/latex/pgfplots/pgfplots.tex create mode 100644 Master/texmf-dist/tex/latex/pgfplots/sciformat.sty (limited to 'Master') diff --git a/Master/texmf-dist/doc/latex/pgfplots/changelog.txt b/Master/texmf-dist/doc/latex/pgfplots/changelog.txt new file mode 100644 index 00000000000..a225e8a6d98 --- /dev/null +++ b/Master/texmf-dist/doc/latex/pgfplots/changelog.txt @@ -0,0 +1,31 @@ +Changes since version 0.92: +** UPGRADE INCOMPATIBILITIES ** +- Warning: I have greatly improved the legend placement. + If you have overwritten + \tikzstyle{every axis legend} + you will need to update the legend! +- renamed 'manual.pdf' to 'pgfplots.pdf' to allow + 'texdoc pgfplots' +- any \axispath commands need to use the 'axis cs' coordinate system. + +Improvements: +- introduced a data scale transformation: + know, pgfplots is no longer restricted to numbers within + TeX's limited precision. + It can produce plots with numbers of order O(10^10) or O(10^-10). + [now even for non-logarithmic plots] +- fixed a bug which did not allow scientific notation for normal plots, +- improved default tick placement for normal plots, +- enlargelimits option is now relative and has a better user interface, +- legends are now TikZ matrizes, which fixes some bugs and improves their + flexibility. +- Added the 'legend columns' option. +- Added the 'legend plot pos' option. +- Added the 'hide axis' option +- Added the 'scale only axis' option +- Added the 'xticklabels=LIST' and 'yticklabels=LIST' options +- Added anchors to axes to allow horizontal/vertical alignment +- rounded tick labels to \prettyprintnumberprecision digits +- Added 'grid=major|minor|both|none' option for grid lines +- Added '[xy]minorgrids', '[xy]majorgrids' options and corresponding styles +- Added '[xy]majorticks', 'ticks=major|minor|both|none' options ticks diff --git a/Master/texmf-dist/doc/latex/pgfplots/manual.bib b/Master/texmf-dist/doc/latex/pgfplots/manual.bib deleted file mode 100644 index 4eb003d9fe0..00000000000 --- a/Master/texmf-dist/doc/latex/pgfplots/manual.bib +++ /dev/null @@ -1,9 +0,0 @@ - -@misc{tikz, - author = {Till Tantau}, - title = {{\Tikz\ and \PGF\ manual}}, - howpublished = {\url{http://tug.ctan.org/cgi-bin/ctanPackageInformation.py?id=pgf}}, - note = {v. $\ge$ 1.18} -} - - diff --git a/Master/texmf-dist/doc/latex/pgfplots/manual.examples.tex b/Master/texmf-dist/doc/latex/pgfplots/manual.examples.tex deleted file mode 100644 index 07ebbd804ec..00000000000 --- a/Master/texmf-dist/doc/latex/pgfplots/manual.examples.tex +++ /dev/null @@ -1,443 +0,0 @@ -% main=manual.tex - - -\section{More examples} -This section contains a catalogue of different \PGFPlots\ features by example. -\label{sec:examples}% -\begingroup -\subsection{Legend position} -\begin{lstlisting} -\tikzstyle{every axis legend}+= - [at={(0.03,0.03)},anchor=south west]% -\begin{tikzpicture} - \begin{loglogaxis}[ - xlabel={\textsc{Dof}}, - ylabel={$L_2$ Error} - ] - \addplot plot coordinates { - (5, 8.312e-02) - (17, 2.547e-02) - (49, 7.407e-03) - (129, 2.102e-03) - (321, 5.874e-04) - (769, 1.623e-04) - (1793, 4.442e-05) - (4097, 1.207e-05) - (9217, 3.261e-06) - }; - - .... - - \legend{$d=2$\\$d=3$\\$d=4$\\$d=5$\\$d=6$\\} - \end{loglogaxis} -\end{tikzpicture} -\end{lstlisting} -\def\plots{% - \addplot plot coordinates { - (5, 8.312e-02) - (17, 2.547e-02) - (49, 7.407e-03) - (129, 2.102e-03) - (321, 5.874e-04) - (769, 1.623e-04) - (1793, 4.442e-05) - (4097, 1.207e-05) - (9217, 3.261e-06) - }; - - \addplot plot coordinates { - (7, 8.472e-02) - (31, 3.044e-02) - (111, 1.022e-02) - (351, 3.303e-03) - (1023, 1.039e-03) - (2815, 3.196e-04) - (7423, 9.658e-05) - (18943, 2.873e-05) - (47103, 8.437e-06) - }; - - \addplot plot coordinates { - (9, 7.881e-02) - (49, 3.243e-02) - (209, 1.232e-02) - (769, 4.454e-03) - (2561, 1.551e-03) - (7937, 5.236e-04) - (23297, 1.723e-04) - (65537, 5.545e-05) - (178177, 1.751e-05) - }; - - \addplot plot coordinates { - (11, 6.887e-02) - (71, 3.177e-02) - (351, 1.341e-02) - (1471, 5.334e-03) - (5503, 2.027e-03) - (18943, 7.415e-04) - (61183, 2.628e-04) - (187903, 9.063e-05) - (553983, 3.053e-05) - }; - - \addplot plot coordinates { - (13, 5.755e-02) - (97, 2.925e-02) - (545, 1.351e-02) - (2561, 5.842e-03) - (10625, 2.397e-03) - (40193, 9.414e-04) - (141569, 3.564e-04) - (471041, 1.308e-04) - (1496065, 4.670e-05) - }; - \legend{$d=2$\\$d=3$\\$d=4$\\$d=5$\\$d=6$\\} - %-------------------------------------------------- - % \addplot plot coordinates { - % (1.60944,-2.48752) - % (2.83321,-3.67031) - % (3.89182,-4.90531) - % (4.85981,-6.16490) - % (5.77144,-7.43988) - % (6.64509,-8.72625) - % (7.49165,-10.02171) - % (8.31801,-11.32467) - % (9.12880,-12.63347) - % }; - %-------------------------------------------------- - - %-------------------------------------------------- - % \addplot plot coordinates { - % (1.94591,-2.46843) - % (3.43399,-3.49197) - % (4.70953,-4.58327) - % (5.86079,-5.71278) - % (6.93049,-6.86963) - % (7.94272,-8.04829) - % (8.91234,-9.24515) - % (9.84919,-10.45743) - % (10.76009,-11.68282) - % }; - %-------------------------------------------------- - - %-------------------------------------------------- - % \addplot plot coordinates { - % (2.19722,-2.54068) - % (3.89182,-3.42861) - % (5.34233,-4.39638) - % (6.64509,-5.41393) - % (7.84815,-6.46903) - % (8.97929,-7.55482) - % (10.05608,-8.66643) - % (11.09037,-9.80004) - % (12.09053,-10.95252) - % }; - %-------------------------------------------------- - - %-------------------------------------------------- - % \addplot plot coordinates { - % (2.39790,-2.67548) - % (4.26268,-3.44917) - % (5.86079,-4.31187) - % (7.29370,-5.23369) - % (8.61305,-6.20135) - % (9.84919,-7.20679) - % (11.02162,-8.24414) - % (12.14368,-9.30872) - % (13.22489,-10.39672) - % }; - %-------------------------------------------------- - - %-------------------------------------------------- - % \addplot plot coordinates { - % (2.56495,-2.85506) - % (4.57471,-3.53179) - % (6.30079,-4.30404) - % (7.84815,-5.14269) - % (9.27096,-6.03371) - % (10.60145,-6.96818) - % (11.86054,-7.93940) - % (13.06270,-8.94206) - % (14.21835,-9.97183) - % }; - %-------------------------------------------------- - - %-------------------------------------------------- - % \legend{$d=2$\\$d=3$\\$d=4$\\$d=5$\\$d=6$\\} - %-------------------------------------------------- -}% -{% -\legendpreset{font=\footnotesize}% -\tikzstyle{every axis legend}+= - [at={(0.03,0.03)},anchor=south west]% -\begin{center} -\begin{tikzpicture} - \begin{loglogaxis}[ - xlabel={\textsc{Dof}}, - ylabel={$L_2$ Error} - ] - \plots - \end{loglogaxis} -\end{tikzpicture} -\end{center} -} - -\subsection{Font size and line width} -\begin{lstlisting} -\tikzstyle{every axis legend}+=% - [at={(0.03,0.03)},anchor=south west]% -\tikzstyle{every tick}+=[line width=0.6pt]% -\begin{tikzpicture}[font=\large,line width=1pt] - \begin{loglogaxis}[ - xlabel={\textsc{Dof}}, - ylabel={$L_2$ Error} - ] - \addplot .... - ... - \end{loglogaxis} -\end{tikzpicture} -\end{lstlisting} - -{% -\tikzstyle{every axis legend}+= - [at={(0.03,0.03)},anchor=south west]% -\tikzstyle{every tick}+=[line width=0.6pt] -\begin{center} -\begin{tikzpicture}[font=\large,line width=1pt] - \begin{loglogaxis}[ - xlabel={\textsc{Dof}}, - ylabel={$L_2$ Error} - ] - \plots - \end{loglogaxis} -\end{tikzpicture} -\end{center} -}% - -\subsection{Changing line specifications} -\subsubsection{Using another, predefined list} -{% -\begin{lstlisting} -\listcopy\blackwhiteplotspeclist\to\autoplotspeclist% -\begin{tikzpicture} - \begin{loglogaxis}[ - xlabel={\textsc{Dof}}, - ylabel={$L_2$ Error} - ] - ... - \end{loglogaxis} -\end{tikzpicture} -\end{lstlisting} - -\listcopy\blackwhiteplotspeclist\to\autoplotspeclist% -\begin{center} -\begin{tikzpicture} - \begin{loglogaxis}[ - xlabel={\textsc{Dof}}, - ylabel={$L_2$ Error} - ] - \plots - \end{loglogaxis} -\end{tikzpicture} -\end{center} - -\subsubsection{Defining new lists} -\begin{lstlisting} -% will cycle through these three elements: -\listnew{\autoplotspeclist}{% - red,dotted,mark=-,mark options={solid}\\% - black,dashed,mark=pentagon,mark options={solid}\\% - mark options={fill=blue!40},mark=diamond*,blue\\% -}% -\tikzstyle{every axis legend}+=% - [at={(1.03,1)},anchor=north west]% -\begin{tikzpicture} - \begin{loglogaxis}[ - xlabel={\textsc{Dof}}, - ylabel={$L_2$ Error} - ] - ... - \end{loglogaxis} -\end{tikzpicture} -\end{lstlisting} - -\listnew{\autoplotspeclist}{% - red,dotted,mark=-,mark options={solid}\\% - black,dashed,mark=pentagon,mark options={solid}\\% - mark options={fill=blue!40},mark=diamond*,blue\\% -}% -\tikzstyle{every axis legend}+=% - [at={(1.03,1)},anchor=north west]% -\begin{center} -\begin{tikzpicture} - \begin{loglogaxis}[ - xlabel={\textsc{Dof}}, - ylabel={$L_2$ Error} - ] - \plots - \end{loglogaxis} -\end{tikzpicture} -\end{center} -}% - -\subsection{Changing the ticks} -\subsubsection{Placing ticks at $10^i$} -\begin{lstlisting} -\begin{tikzpicture} - \begin{loglogaxis}[ - xtickten={0,2,3,4,6,...,10},% place tickmarks at 10^0, 10^2,... - ytickten={-6,-4,...,2}, - xlabel={\textsc{Dof}}, - ylabel={$L_2$ Error} - ] - .... - \end{loglogaxis} -\end{tikzpicture} -\end{lstlisting} - -\begin{center} -\begin{tikzpicture} - \begin{loglogaxis}[ - xtickten={0,2,3,4,6,...,10}, - ytickten={-6,-4,...,2}, - xlabel={\textsc{Dof}}, - ylabel={$L_2$ Error} - ] - \plots - \end{loglogaxis} -\end{tikzpicture} -\end{center} - -\subsubsection{Placing ticks anywhere} -\begin{lstlisting} -\begin{tikzpicture} - \begin{loglogaxis}[ - xtick={12,9897,1468864} - xlabel={\textsc{Dof}}, - ylabel={$L_2$ Error} - ] - .... - \end{loglogaxis} -\end{tikzpicture} -\end{lstlisting} - -\begin{center} -\begin{tikzpicture} - \begin{loglogaxis}[ - xtick={12,9897,1468864},%2.5,9.2,14.2}, - xlabel={\textsc{Dof}}, - ylabel={$L_2$ Error} - ] - \plots - \end{loglogaxis} -\end{tikzpicture} -\end{center} - -\subsection{Annotating plots} -\label{sec:annot:plot}% -\subsubsection{Example: Placing Data Cursors} -\begin{lstlisting} -\tikzstyle{annotation}=[fill=white,draw=black,font=\footnotesize] -\tikzstyle{annotedge}=[->,shorten >=3pt] -\begin{tikzpicture} - \begin{loglogaxis}[ - xlabel={\textsc{Dof}}, - ylabel={$L_2$ Error} - ] - - .... - - \addplot plot coordinates { - (13, 5.755e-02) - (97, 2.925e-02) - (545, 1.351e-02) - (2561, 5.842e-03) - (10625, 2.397e-03) - (40193, 9.414e-04) - (141569, 3.564e-04) - (471041, 1.308e-04) - (1496065, 4.670e-05) - }; - ... - - % remember this coordinate under the name 'bad' - \axispath\node[coordinate] (bad) at - (8.61305,-6.20135) % = (log(10625), log(2.397e-03)) - {}; - \axispath\node[coordinate] (good) at - (12.14368,-9.30872) - {}; - - % place a node above 'bad' and draw an edge to 'bad': - \axispath\node[annotation,above of=bad] - {Bad!} - edge[annotedge] (bad); - \axispath\node[annotation,above right of=good] - {Good!} - edge[annotedge] (good); - \end{loglogaxis} -\end{tikzpicture} -\end{lstlisting} -\begin{center} -\begin{tikzpicture}[node distance=1cm] -\tikzstyle{annotation}=[fill=white,draw=black,font=\footnotesize] -\tikzstyle{annotedge}=[->,shorten >=3pt] - \begin{loglogaxis}[ - xlabel={\textsc{Dof}}, - ylabel={$L_2$ Error} - ] - \plots - \axispath\node[coordinate] (bad) at - (8.61305,-6.20135) - {}; - \axispath\node[coordinate] (good) at - (12.14368,-9.30872) - {}; - - \axispath\node[annotation,above of=bad] - {Bad!} - edge[annotedge] (bad); - \axispath\node[annotation,above right of=good] - {Good!} - edge[annotedge] (good); - \end{loglogaxis} -\end{tikzpicture} -\end{center} - -One remark: the \lstinline!\axispath! prefix is necessary because neither axis nor plots will be drawn until the $x$- and $y$-limits have been determined. All drawing commands are postponed until \lstinline!\end{axis}! (unless you explicitly provide the options \lstinline!xmin!, \lstinline!xmax!, \lstinline!ymin! and \lstinline!ymax!). - -\subsubsection{Example: Slopes of line segments} -\begin{lstlisting} -\begin{tikzpicture} - \begin{loglogaxis}[ - xlabel=\textsc{Dof}, - ylabel=$L_2$ Error - ] - \axispath\draw - (7.49165,-10.02171) - |- (8.31801,-11.32467) - node[near start,left] {$\frac{dy}{dx} = -1.58$}; - - \addplot .... - ... - \end{loglogaxis} -\end{tikzpicture} -\end{lstlisting} -\begin{center} -\begin{tikzpicture} - \begin{loglogaxis}[ - xlabel=\textsc{Dof}, - ylabel=$L_2$ Error - ] - \axispath\draw - (7.49165,-10.02171) - |- (8.31801,-11.32467) - node[near start,left] {$\frac{dy}{dx} = -1.58$}; - \plots - - \end{loglogaxis} -\end{tikzpicture} -\end{center} - -\endgroup diff --git a/Master/texmf-dist/doc/latex/pgfplots/manual.install.tex b/Master/texmf-dist/doc/latex/pgfplots/manual.install.tex deleted file mode 100644 index df1f42789b6..00000000000 --- a/Master/texmf-dist/doc/latex/pgfplots/manual.install.tex +++ /dev/null @@ -1,98 +0,0 @@ -% main=manual.tex - -\section{Installation} -\subsection{Licensing} -This program is free software: you can redistribute it and/or modify -it under the terms of the GNU General Public License as published by -the Free Software Foundation, either version 3 of the License, or -(at your option) any later version. - -This program is distributed in the hope that it will be useful, -but WITHOUT ANY WARRANTY; without even the implied warranty of -MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -GNU General Public License for more details. - -A copy of the GNU General Public License can be found in the package file -\begin{lstlisting} -doc/latex/pgfplots/gpl-3.0.txt -\end{lstlisting} -You may also visit~\url{http://www.gnu.org/licenses}. - -\subsection{Prerequisites} -\PGFPlots\ requires \PGF\ version $\ge 1.18$ and package \texttt{xkeyval}. - -\subsection{Files in the \PGFPlots-Bundle} -The \PGFPlots\ package consists of the files -\begin{lstlisting} -latex/pgfplots/pgfplots.sty -doc/latex/pgfplots/manual.bib -doc/latex/pgfplots/manual.tex -doc/latex/pgfplots/manual.pdf -doc/latex/pgfplots/todo.txt -generic/pgfmathlog/pgfmathlog.sty -generic/liststructure/liststructure.sty -test/liststructuretest/liststructuretest.tex -test/pgfplotstest/pgfplotstest.tex -test/pgfmathlogtest/pgfmathlogtest.tex -shellscripts/pgf2pdf.sh -\end{lstlisting} -If is used with -\begin{lstlisting} -\usepackage{pgfplots} -\end{lstlisting} -in your preamble. There are several ways how to teach \LaTeX\ where to find the files. Choose the option which fits your needs best. - -\subsection{Assigning the \texttt{TEXINPUTS} Variable} -You can simply install \PGFPlots\ anywhere on your disc, for example into -\begin{lstlisting} -/foo/bar/pgfplots. -\end{lstlisting} -Then, you set the \texttt{TEXINPUTS} variable to -\begin{lstlisting} -TEXINPUTS=/foo/bar/pgfplots//: -\end{lstlisting} -The trailing~`\texttt{:}' tells \LaTeX\ to check the default search paths after \lstinline!/foo/bar/pgfplots!. The double slash~`\texttt{//}' tells \LaTeX\ to search all subdirectories. - -If the \texttt{TEXINPUTS} variable already contains something, you can append the line above to the existing \texttt{TEXINPUTS} content. - -Please refer to your operating systems manual for how to set environment variables. - -\subsection{Installation into a local \texttt{texmf}-directory} -Copy \PGFPlots\ to a local \texttt{texmf} directory like \lstinline!~/texmf! in your home directory. Then, install \PGFPlots\ into the subdirectory \lstinline!texmf/tex/generic/pgfplots! and run \lstinline!texhash!. - -\subsection{Installation into a local TDS compliant \texttt{texmf}-directory} -A TDS conforming installation will use the same base directory as in the last section, but it requires to merge the contents of `\texttt{latex}' into `\texttt{texmf/tex/latex}'; the contents of `\texttt{generic}' to `\texttt{texmf/tex/generic}' and the contents of `\texttt{doc}' to `\texttt{texmf/doc}'. - -Do not forget to run \lstinline!texhash!. - -\subsection{If everything else fails...} -If \LaTeX\ still doesn't find your files, you can copy all \lstinline!.sty!-files into your current project's working directory. - -Please refer to \url{http://www.ctan.org/installationadvice/} for more information about package installation. - - - -\subsection{Restrictions for DVI-Viewers and \texttt{dvipdfm}} -\PGF\ is compatible with -\begin{itemize} - \item \lstinline!latex!/\lstinline!dvips!, - \item \lstinline!latex!/\lstinline!dvipdfm!, - \item \lstinline!pdflatex!, - \item $\vdots$ -\end{itemize} -However, there are some restrictions: I don't know any DVI viewer which is capable of viewing the output of \PGF\ (and therefor \PGFPlots\ as well). After all, DVI has never been designed to draw something different than text and horizontal/vertical lines. You will need to view the postscript file or the pdf-file. - -Furthermore, \PGF\ needs to know a \emph{driver} so that the DVI file can be converted to the desired output. Depending on your system, you need the following options: -\begin{itemize} - \item \lstinline!latex!/\lstinline!dvips! does not need anything special because \lstinline!dvips! is the default driver if you invoke \lstinline!latex!. - \item \lstinline!pdflatex! will also work directly because \lstinline!pdflatex! will be detected automatically. - \item \lstinline!latex!/\lstinline!dvipdfm! requires to use -\begin{lstlisting} -\def\pgfsysdriver{pgfsys-dvipdfm.def} -%\def\pgfsysdriver{pgfsys-pdftex.def} -%\def\pgfsysdriver{pgfsys-dvips.def} -\usepackage{pgfplots}. -\end{lstlisting} - The uncommented commands could be used to set other drivers explictly. -\end{itemize} -Please read the corresponding sections in~\cite[Section 7.2.1 and 7.2.2]{tikz} if you have further questions. These sections also contain limitations of particular drivers. diff --git a/Master/texmf-dist/doc/latex/pgfplots/manual.intro.tex b/Master/texmf-dist/doc/latex/pgfplots/manual.intro.tex deleted file mode 100644 index 0a1d34d2ccf..00000000000 --- a/Master/texmf-dist/doc/latex/pgfplots/manual.intro.tex +++ /dev/null @@ -1,673 +0,0 @@ -% main=manual.tex - -\section{Drawing axes and plots} -\subsection{A first plot} -Plotting is done using \lstinline|\begin{axis} ... \addplot ...; \end{axis}|: - -\begin{figure} -\centering -\begin{tikzpicture} - \begin{axis}[ - xlabel=Cost, - ylabel=Error] - \addplot[color=red,mark=x] plot coordinates { - (2,-2.8559703) - (3,-3.5301677) - (4,-4.3050655) - (5,-5.1413136) - (6,-6.0322865) - (7,-6.9675052) - (8,-7.9377747) - (9,-9.9717663) - }; - \end{axis} -\end{tikzpicture} - -\caption{An example for a normal plot. The coordinates are specified using the \Tikz-syntax ``\texttt{plot coordinates}'', optional labels can be provided with the ``\texttt{xlabel}'' and ``\texttt{ylabel}'' arguments.} -\label{fig:firstplot} -\end{figure} - -\begin{lstlisting} -\begin{tikzpicture} - \begin{axis}[ - xlabel=Cost, - ylabel=Error] - \addplot[color=red,mark=x] plot coordinates { - (2,-2.8559703) - (3,-3.5301677) - (4,-4.3050655) - (5,-5.1413136) - (6,-6.0322865) - (7,-6.9675052) - (8,-7.9377747) - (9,-9.9717663) - }; - \end{axis} -\end{tikzpicture} -\end{lstlisting} -The outcome of this listing is shown in figure~\ref{fig:firstplot}. The \lstinline!plot coordinates! command is one of the \Tikz\ ways to create plots, see~\cite[Section~16]{tikz}. All other commands are used to create the axis. - -\subsection{Two plots in the same axis} -Figure~\ref{fig:twoplots} shows the result of placing multiple~\lstinline!\addplot!-commands into a single axis: -\begin{figure} -\centering -\begin{tikzpicture} - \begin{axis}[ - xlabel=Cost, - ylabel=Error] - \addplot[color=red,mark=x] plot coordinates { - (2,-2.8559703) - (3,-3.5301677) - (4,-4.3050655) - (5,-5.1413136) - (6,-6.0322865) - (7,-6.9675052) - (8,-7.9377747) - (9,-9.9717663) - }; - \addplot[color=blue,mark=*] plot coordinates { - (2,-2.83) - (3,-3.5167) - (4,-4.4050) - (5,-5.137) - (6,-6.4) - (7,-6.6750) - (8,-6.9377) - (9,-6.9717) - }; - \legend{Case 1\\Case 2\\} - \end{axis} -\end{tikzpicture} - -\caption{Two plots in the same axis. A legend can be generated using the \texttt{\textbackslash legend{}}-command.} -\label{fig:twoplots} -\end{figure} - -\begin{lstlisting} -\begin{tikzpicture} - \begin{axis}[ - xlabel=Cost, - ylabel=Error] - \addplot[color=red,mark=x] plot coordinates { - (2,-2.8559703) - (3,-3.5301677) - (4,-4.3050655) - (5,-5.1413136) - (6,-6.0322865) - (7,-6.9675052) - (8,-7.9377747) - (9,-9.9717663) - }; - \addplot[color=blue,mark=*] plot coordinates { - (2,-2.83) - (3,-3.5167) - (4,-4.4050) - (5,-5.137) - (6,-6.4) - (7,-6.6750) - (8,-6.9377) - (9,-6.9717) - }; - \legend{Case 1\\Case 2\\} - \end{axis} -\end{tikzpicture} -\end{lstlisting} - -\subsection{Logarithmic plots} -Logarithmic plots show $\log x$ versus $\log y$ (or just one logarithmic axis) as in figure~\ref{fig:firstloglog}. \PGFPlots\ always uses the natural logarithm, i.e. basis $e\approx2.718$. Now, the axis description also contains minor ticks and the labels are placed at $10^i$. -\begin{figure} -\centering - \begin{tikzpicture} - \begin{loglogaxis}[xlabel=Cost,ylabel=Gain] - \addplot[color=red,mark=x] plot coordinates { - (10,100) - (20,150) - (40,225) - (80,340) - (160,510) - (320,765) - (640,1150) - }; - \end{loglogaxis} - \end{tikzpicture} - -\caption{A double--logarithmic plot.} -\label{fig:firstloglog} -\end{figure} -\begin{lstlisting} -\begin{tikzpicture} -\begin{loglogaxis}[xlabel=Cost,ylabel=Gain] -\addplot[color=red,mark=x] plot coordinates { - (10,100) - (20,150) - (40,225) - (80,340) - (160,510) - (320,765) - (640,1150) -}; -\end{loglogaxis} -\end{tikzpicture} -\end{lstlisting} -A common application is to visualise scientific data. This is often provided in the format $1.42\cdot10^4$, usually written as 1.42e+04. An example is shown in the following listing and in figure~\ref{fig:example:sci:loglog}. -\begin{figure} -\centering -\begin{tikzpicture} - \begin{loglogaxis}[ - xlabel=Cost, - ylabel=Error] - \addplot[color=red,mark=x] plot coordinates { - (5, 8.31160034e-02) - (17, 2.54685628e-02) - (49, 7.40715288e-03) - (129, 2.10192154e-03) - (321, 5.87352989e-04) - (769, 1.62269942e-04) - (1793, 4.44248889e-05) - (4097, 1.20714122e-05) - (9217, 3.26101452e-06) - }; - - \addplot[color=blue,mark=*] plot coordinates { - (7, 8.47178381e-02) - (31, 3.04409349e-02) - (111, 1.02214539e-02) - (351, 3.30346265e-03) - (1023, 1.03886535e-03) - (2815, 3.19646457e-04) - (7423, 9.65789766e-05) - (18943, 2.87339125e-05) - (47103, 8.43749881e-06) - }; - \legend{Case 1\\Case 2\\} - \end{loglogaxis} -\end{tikzpicture} - -\caption{A double--logarithmic plot using scientific notation.} -\label{fig:example:sci:loglog} -\end{figure} - -\begin{lstlisting} -\begin{tikzpicture} - \begin{loglogaxis}[ - xlabel=Cost, - ylabel=Error] - \addplot[color=red,mark=x] plot coordinates { - (5, 8.31160034e-02) - (17, 2.54685628e-02) - (49, 7.40715288e-03) - (129, 2.10192154e-03) - (321, 5.87352989e-04) - (769, 1.62269942e-04) - (1793, 4.44248889e-05) - (4097, 1.20714122e-05) - (9217, 3.26101452e-06) - }; - - \addplot[color=blue,mark=*] plot coordinates { - (7, 8.47178381e-02) - (31, 3.04409349e-02) - (111, 1.02214539e-02) - (351, 3.30346265e-03) - (1023, 1.03886535e-03) - (2815, 3.19646457e-04) - (7423, 9.65789766e-05) - (18943, 2.87339125e-05) - (47103, 8.43749881e-06) - }; - \legend{Case 1\\Case 2\\} - \end{loglogaxis} -\end{tikzpicture} -\end{lstlisting} -Besided the environment ``\texttt{loglogaxis}'' you can use -\begin{itemize} - \item \lstinline!\begin{axis}...\end{axis}! for normal plots, - \item \lstinline!\begin{semilogxaxis}...\end{semilogxaxis}! for plots which have a normal~$y$ axis and a logarithmic~$x$ axis, - \item \lstinline!\begin{semilogyaxis}...\end{semilogyaxis}! the same with $x$~and~$y$ switched, - \item \lstinline!\begin{loglogaxis}...\end{loglogaxis}! for double--logarithmic plots. -\end{itemize} -You can also use -\begin{lstlisting} - \begin{axis}[xmode=normal,ymode=log] - ... - \end{axis} -\end{lstlisting} -which is the same as \lstinline!\begin{semilogyaxis}...\end{semilogyaxis}!. Example: -\begin{lstlisting} -\begin{tikzpicture} - \begin{semilogyaxis}[xlabel=Index,ylabel=Value] - \addplot[color=blue,mark=*] plot coordinates { - (1,8) - (2,16) - (3,32) - (4,64) - (5,128) - (6,256) - (7,512) - }; - \end{semilogyaxis} -\end{tikzpicture} -\end{lstlisting} -see figure~\ref{fig:semilogy}. -\begin{figure} -\centering -\begin{tikzpicture} - \begin{semilogyaxis}[xlabel=Index,ylabel=Value] - \addplot[color=blue,mark=*] plot coordinates { - (1,8) - (2,16) - (3,32) - (4,64) - (5,128) - (6,256) - (7,512) - }; - \end{semilogyaxis} -\end{tikzpicture} - -\caption{A semi--logarithmic plot.} -\label{fig:semilogy} -\end{figure} - -\subsection{Cycling line styles} -You can skip the style arguments for \lstinline!\addplot[...]! or \lstinline!\addplot[...]! to determine plot specifications from a predefined list: -\begin{figure} -\centering -\begin{tikzpicture} - \begin{loglogaxis}[ - xlabel={Degrees of freedom}, - ylabel={$L_2$ Error} - ] - \addplot plot coordinates { - (5, 8.312e-02) - (17, 2.547e-02) - (49, 7.407e-03) - (129, 2.102e-03) - (321, 5.874e-04) - (769, 1.623e-04) - (1793, 4.442e-05) - (4097, 1.207e-05) - (9217, 3.261e-06) - }; - - \addplot plot coordinates { - (7, 8.472e-02) - (31, 3.044e-02) - (111, 1.022e-02) - (351, 3.303e-03) - (1023, 1.039e-03) - (2815, 3.196e-04) - (7423, 9.658e-05) - (18943, 2.873e-05) - (47103, 8.437e-06) - }; - - \addplot plot coordinates { - (9, 7.881e-02) - (49, 3.243e-02) - (209, 1.232e-02) - (769, 4.454e-03) - (2561, 1.551e-03) - (7937, 5.236e-04) - (23297, 1.723e-04) - (65537, 5.545e-05) - (178177, 1.751e-05) - }; - - \addplot plot coordinates { - (11, 6.887e-02) - (71, 3.177e-02) - (351, 1.341e-02) - (1471, 5.334e-03) - (5503, 2.027e-03) - (18943, 7.415e-04) - (61183, 2.628e-04) - (187903, 9.063e-05) - (553983, 3.053e-05) - }; - - \addplot plot coordinates { - (13, 5.755e-02) - (97, 2.925e-02) - (545, 1.351e-02) - (2561, 5.842e-03) - (10625, 2.397e-03) - (40193, 9.414e-04) - (141569, 3.564e-04) - (471041, 1.308e-04) - (1496065, 4.670e-05) - }; - \legend{$d=2$\\$d=3$\\$d=4$\\$d=5$\\$d=6$\\} - \end{loglogaxis} -\end{tikzpicture} - -\caption{Predefined line/marker combinations.} -\label{fig:predefined:plotspec} -\end{figure} - -\begin{lstlisting} -\begin{tikzpicture} - \begin{loglogaxis}[ - xlabel={Degrees of freedom}, - ylabel={$L_2$ Error} - ] - \addplot plot coordinates { - (5, 8.312e-02) - (17, 2.547e-02) - (49, 7.407e-03) - (129, 2.102e-03) - (321, 5.874e-04) - (769, 1.623e-04) - (1793, 4.442e-05) - (4097, 1.207e-05) - (9217, 3.261e-06) - }; - - \addplot plot coordinates { - (7, 8.472e-02) - (31, 3.044e-02) - (111, 1.022e-02) - (351, 3.303e-03) - (1023, 1.039e-03) - (2815, 3.196e-04) - (7423, 9.658e-05) - (18943, 2.873e-05) - (47103, 8.437e-06) - }; - - \addplot plot coordinates { - (9, 7.881e-02) - (49, 3.243e-02) - (209, 1.232e-02) - (769, 4.454e-03) - (2561, 1.551e-03) - (7937, 5.236e-04) - (23297, 1.723e-04) - (65537, 5.545e-05) - (178177, 1.751e-05) - }; - - \addplot plot coordinates { - (11, 6.887e-02) - (71, 3.177e-02) - (351, 1.341e-02) - (1471, 5.334e-03) - (5503, 2.027e-03) - (18943, 7.415e-04) - (61183, 2.628e-04) - (187903, 9.063e-05) - (553983, 3.053e-05) - }; - - \addplot plot coordinates { - (13, 5.755e-02) - (97, 2.925e-02) - (545, 1.351e-02) - (2561, 5.842e-03) - (10625, 2.397e-03) - (40193, 9.414e-04) - (141569, 3.564e-04) - (471041, 1.308e-04) - (1496065, 4.670e-05) - }; - \legend{$d=2$\\$d=3$\\$d=4$\\$d=5$\\$d=6$\\} - \end{loglogaxis} -\end{tikzpicture} -\end{lstlisting} - -The result is shown in figure~\ref{fig:predefined:plotspec}. You can modify the list, see the reference below. - -\subsection{Scaling plots} -You can use any of the \Tikz\ options to modify the appearance. For example the effect of the ``\texttt{scale}'' transformation is shown in figures \ref{fig:scale1}~and~\ref{fig:scale2}. - -\begin{figure} -\begin{minipage}[c]{7.1cm}% -\begin{tikzpicture}[scale=0.8] - \begin{loglogaxis}[ - xlabel={Degrees of freedom}, - ylabel={$L_2$ Error} - ] - \addplot plot coordinates { - (5, 8.312e-02) - (17, 2.547e-02) - (49, 7.407e-03) - (129, 2.102e-03) - (321, 5.874e-04) - (769, 1.623e-04) - (1793, 4.442e-05) - (4097, 1.207e-05) - (9217, 3.261e-06) - }; - - \addplot plot coordinates { - (7, 8.472e-02) - (31, 3.044e-02) - (111, 1.022e-02) - (351, 3.303e-03) - (1023, 1.039e-03) - (2815, 3.196e-04) - (7423, 9.658e-05) - (18943, 2.873e-05) - (47103, 8.437e-06) - }; - - \addplot plot coordinates { - (9, 7.881e-02) - (49, 3.243e-02) - (209, 1.232e-02) - (769, 4.454e-03) - (2561, 1.551e-03) - (7937, 5.236e-04) - (23297, 1.723e-04) - (65537, 5.545e-05) - (178177, 1.751e-05) - }; - - \addplot plot coordinates { - (11, 6.887e-02) - (71, 3.177e-02) - (351, 1.341e-02) - (1471, 5.334e-03) - (5503, 2.027e-03) - (18943, 7.415e-04) - (61183, 2.628e-04) - (187903, 9.063e-05) - (553983, 3.053e-05) - }; - - \addplot plot coordinates { - (13, 5.755e-02) - (97, 2.925e-02) - (545, 1.351e-02) - (2561, 5.842e-03) - (10625, 2.397e-03) - (40193, 9.414e-04) - (141569, 3.564e-04) - (471041, 1.308e-04) - (1496065, 4.670e-05) - }; - \legend{$d=2$\\$d=3$\\$d=4$\\$d=5$\\$d=6$\\} - \end{loglogaxis} -\end{tikzpicture} -\end{minipage}% -\hfill -\begin{minipage}[c]{8cm}% -\begin{lstlisting} -\begin{tikzpicture}[scale=0.8] -\begin{loglogaxis} -... -\end{loglogaxis} -\end{tikzpicture} -\end{lstlisting} -\end{minipage} -\caption{An example of a scaled plot.} -\label{fig:scale1} -\end{figure} - -\begin{figure} -\centering -\begin{tikzpicture}[scale=1.3] - \begin{loglogaxis}[ - xlabel={Degrees of freedom}, - ylabel={$L_2$ Error} - ] - \addplot plot coordinates { - (5, 8.312e-02) - (17, 2.547e-02) - (49, 7.407e-03) - (129, 2.102e-03) - (321, 5.874e-04) - (769, 1.623e-04) - (1793, 4.442e-05) - (4097, 1.207e-05) - (9217, 3.261e-06) - }; - - \addplot plot coordinates { - (7, 8.472e-02) - (31, 3.044e-02) - (111, 1.022e-02) - (351, 3.303e-03) - (1023, 1.039e-03) - (2815, 3.196e-04) - (7423, 9.658e-05) - (18943, 2.873e-05) - (47103, 8.437e-06) - }; - - \addplot plot coordinates { - (9, 7.881e-02) - (49, 3.243e-02) - (209, 1.232e-02) - (769, 4.454e-03) - (2561, 1.551e-03) - (7937, 5.236e-04) - (23297, 1.723e-04) - (65537, 5.545e-05) - (178177, 1.751e-05) - }; - - \addplot plot coordinates { - (11, 6.887e-02) - (71, 3.177e-02) - (351, 1.341e-02) - (1471, 5.334e-03) - (5503, 2.027e-03) - (18943, 7.415e-04) - (61183, 2.628e-04) - (187903, 9.063e-05) - (553983, 3.053e-05) - }; - - \addplot plot coordinates { - (13, 5.755e-02) - (97, 2.925e-02) - (545, 1.351e-02) - (2561, 5.842e-03) - (10625, 2.397e-03) - (40193, 9.414e-04) - (141569, 3.564e-04) - (471041, 1.308e-04) - (1496065, 4.670e-05) - }; - \legend{$d=2$\\$d=3$\\$d=4$\\$d=5$\\$d=6$\\} - \end{loglogaxis} -\end{tikzpicture} - -\begin{lstlisting} - \begin{tikzpicture}[scale=1.3] - \begin{loglogaxis} - ... - \end{loglogaxis} - \end{tikzpicture} -\end{lstlisting} -\caption{The effect of a ``\texttt{scale}'' transformation by~$30\%$.} -\label{fig:scale2} -\end{figure} - -You can scale plots either using the \texttt{width=5cm} and/or \texttt{height=3cm} options or by setting the dimension for each unit coordinate as is shown in figure~\ref{fig:scale:units}. - -More examples can be found in section~\ref{sec:examples}. - -\begin{figure} -\centering -\begin{tikzpicture} - \begin{loglogaxis}[% - x=0.4cm,y=0.7cm, - xlabel={Degrees of freedom}, - ylabel={$L_2$ Error} - ] - \addplot plot coordinates { - (5, 8.312e-02) - (17, 2.547e-02) - (49, 7.407e-03) - (129, 2.102e-03) - (321, 5.874e-04) - (769, 1.623e-04) - (1793, 4.442e-05) - (4097, 1.207e-05) - (9217, 3.261e-06) - }; - - \addplot plot coordinates { - (7, 8.472e-02) - (31, 3.044e-02) - (111, 1.022e-02) - (351, 3.303e-03) - (1023, 1.039e-03) - (2815, 3.196e-04) - (7423, 9.658e-05) - (18943, 2.873e-05) - (47103, 8.437e-06) - }; - - \addplot plot coordinates { - (9, 7.881e-02) - (49, 3.243e-02) - (209, 1.232e-02) - (769, 4.454e-03) - (2561, 1.551e-03) - (7937, 5.236e-04) - (23297, 1.723e-04) - (65537, 5.545e-05) - (178177, 1.751e-05) - }; - - \addplot plot coordinates { - (11, 6.887e-02) - (71, 3.177e-02) - (351, 1.341e-02) - (1471, 5.334e-03) - (5503, 2.027e-03) - (18943, 7.415e-04) - (61183, 2.628e-04) - (187903, 9.063e-05) - (553983, 3.053e-05) - }; - - \addplot plot coordinates { - (13, 5.755e-02) - (97, 2.925e-02) - (545, 1.351e-02) - (2561, 5.842e-03) - (10625, 2.397e-03) - (40193, 9.414e-04) - (141569, 3.564e-04) - (471041, 1.308e-04) - (1496065, 4.670e-05) - }; - \legend{$d=2$\\$d=3$\\$d=4$\\$d=5$\\$d=6$\\} - \end{loglogaxis} -\end{tikzpicture}% - -\begin{lstlisting} - \begin{tikzpicture} - \begin{loglogaxis}[x=0.4cm,y=0.7cm,...] - ... - \end{loglogaxis} - \end{tikzpicture} -\end{lstlisting} -\caption{The result of setting the unit vector for~$x$ to~0.4cm and for~$y$ to~0.7cm.} -\label{fig:scale:units} -\end{figure} - diff --git a/Master/texmf-dist/doc/latex/pgfplots/manual.pdf b/Master/texmf-dist/doc/latex/pgfplots/manual.pdf deleted file mode 100644 index 85af37071f4..00000000000 --- a/Master/texmf-dist/doc/latex/pgfplots/manual.pdf +++ /dev/null @@ -1,11284 +0,0 @@ -%PDF-1.2 -11 0 obj -<< -/Title(Introduction) -/A<< -/S/GoTo -/D(section.1) ->> -/Parent 10 0 R -/Next 12 0 R ->> -endobj -13 0 obj -<< -/Title(Licensing) -/A<< -/S/GoTo -/D(subsection.2.1) ->> -/Parent 12 0 R -/Next 14 0 R ->> -endobj -14 0 obj -<< -/Title(Prerequisites) -/A<< -/S/GoTo -/D(subsection.2.2) ->> -/Parent 12 0 R -/Prev 13 0 R -/Next 15 0 R ->> -endobj -15 0 obj -<< -/Title(Files in the Pgfplots-Bundle) -/A<< -/S/GoTo -/D(subsection.2.3) ->> -/Parent 12 0 R -/Prev 14 0 R -/Next 16 0 R ->> -endobj -16 0 obj -<< -/Title(Assigning the TEXINPUTS Variable) -/A<< -/S/GoTo -/D(subsection.2.4) ->> -/Parent 12 0 R -/Prev 15 0 R 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00000 n -0000475315 00000 n -0000475430 00000 n -0000475539 00000 n -0000475562 00000 n -trailer -<< -/Size 1456 -/Root 2 0 R -/Info 1 0 R ->> -startxref -477106 -%%EOF diff --git a/Master/texmf-dist/doc/latex/pgfplots/manual.reference.tex b/Master/texmf-dist/doc/latex/pgfplots/manual.reference.tex deleted file mode 100644 index 5cb97da2080..00000000000 --- a/Master/texmf-dist/doc/latex/pgfplots/manual.reference.tex +++ /dev/null @@ -1,777 +0,0 @@ -% main=manual.tex - -\section{Reference} -\subsection{The axis--environments} -There are four axis environments, -\begin{enumerate} -\item The axis environment for normal plots, -\begin{lstlisting} -\begin{axis} -... -\end{axis} -\end{lstlisting} - -\item The axis environment for logarithmic scaling of~$x$ and normal scaling of~$y$, -\begin{lstlisting} -\begin{semilogxaxis} -... -\end{semilogxaxis} -\end{lstlisting} - -\item The axis environment for normal scaling of~$x$ and logarithmic scaling of~$y$, -\begin{lstlisting} -\begin{semilogyaxis} -... -\end{semilogyaxis} -\end{lstlisting} - -\item The axis environment for logarithmic scaling of both, $x$~and~$y$ axes, -\begin{lstlisting} -\begin{loglogaxis} -... -\end{loglogaxis} -\end{lstlisting} -\end{enumerate} -They are all equivalent to -\begin{lstlisting} -\begin{axis}[ - xmode=log|normal, - ymode=log|normal] -... -\end{axis} -\end{lstlisting} -with properly set variables `\texttt{xmode}' and `\texttt{ymode}' (see below). - -\subsection{Available markers} -\label{sec:markers}% -The following options of \Tikz\ may be useful for plots. -\subsubsection{Markers} -This list is copied from~\cite[section~29]{tikz}: -\begingroup -\newenvironment{longdescription}[0]{% - \begin{list}{}{% - \leftmargin=4.3cm - \setlength{\labelwidth}{4.3cm}% - \renewcommand{\makelabel}[1]{\hfill\textbf{\texttt{##1}}}% - }% -}{% - \end{list}% -}% -\def\showit#1{% - \tikz\draw[% - gray, - thin, - mark options={fill=yellow!80!black,draw=black,scale=2}, - x=0.8cm,y=0.3cm, - #1] - plot coordinates {(0,0) (1,1) (2,0) (3,1)};% -}% -\begin{longdescription} - \item[mark=*] \showit{mark=*} - \item[mark=x] \showit{mark=x} - \item[mark=+] \showit{mark=+} -\end{longdescription} -And with \lstinline!\usetikzlibrary{plotmarks}!: -\begin{longdescription} - \item[mark=$-$] \showit{mark=-} - \item[mark=$|$] \showit{mark=|} - \item[mark=o] \showit{mark=o} - \item[mark=asterisk] \showit{mark=asterisk} - \item[mark=star] \showit{mark=star} - \item[mark=oplus] \showit{mark=oplus} - \item[mark=oplus*] \showit{mark=oplus*} - \item[mark=otimes] \showit{mark=otimes} - \item[mark=otimes*] \showit{mark=otimes*} - \item[mark=square] \showit{mark=square} - \item[mark=square*] \showit{mark=square*} - \item[mark=triangle] \showit{mark=triangle} - \item[mark=triangle*] \showit{mark=triangle*} - \item[mark=diamond] \showit{mark=diamond} - \item[mark=diamond*] \showit{mark=diamond*} - \item[mark=pentagon] \showit{mark=pentagon} - \item[mark=pentagon*] \showit{mark=pentagon*} -\end{longdescription} -All these options have been drawn with the additional options -\begin{lstlisting} -\draw[ - gray, - thin, - mark options={scale=2,fill=yellow!80!black,draw=black}] -\end{lstlisting} - -\subsubsection{Line styles} -\def\showit#1{% - \tikz\draw[% - black, - x=0.8cm,y=0.3cm, - #1] - plot coordinates {(0,0) (1,1) (2,0) (3,1)};% -}% -The following line styles are predefined in \Tikz: -\begin{longdescription} - \item[style=solid] \showit{style=solid} - \item[style=dotted] \showit{style=dotted} - \item[style=densely dotted] \showit{style=densely dotted} - \item[style=loosely dotted] \showit{style=loosely dotted} - \item[style=dashed] \showit{style=dashed} - \item[style=densely dashed] \showit{style=densely dashed} - \item[style=loosely dashed] \showit{style=loosely dashed} -\end{longdescription} -You may need the option \lstinline!mark options={solid}! to avoid dotted or dashed marker boundaries. The string ``\texttt{style=}'' can be omitted. -\endgroup - -\subsection{\texttt{\textbackslash addplot[OPTIONS] PATH}} -This is the main plotting command. It is used as -\begin{lstlisting} -\addplot - plot coordinates { - (0,0) - (1,1) - }; -\end{lstlisting} -or -\begin{lstlisting} -\addplot[color=blue,mark=*] - plot coordinates { - (0,0) - (1,1) - }; -\end{lstlisting} -The first syntax chooses the next unused plot specification of the list \lstinline!\autoplotspeclist! (see below) and the second syntax specifies a plot specification explicitly. This specification will be used inside of the legend (if any). - -\noindent -Some more details: -\begin{itemize} - \item \lstinline!\addplot! is a shortcut for \lstinline!\draw[OPTIONS]!, that means anything up to the next semicolon is part of a \PGF-path. The semicolon is required. - \item The \texttt{OPTIONS} are remembered for the legend. - \item See subsection~\ref{sec:markers} for a list of available markers and line styles. - \item You can modify \texttt{OPTIONS} with - \begin{lstlisting}[gobble=1] - \tikzstyle{every axis plot}=[...] - \end{lstlisting} - \item For log plots, \PGFPlots\ will compute the natural logarithm $\log(\cdot)$ numerically. This works with normal fixed point numbers or in scientific notation. For example, the following numbers are valid input to \lstinline!\addplot!. -\begin{lstlisting} -\begin{loglogaxis} -\addplot plot coordinate { - (769, 1.6227e-04) - (1793, 4.4425e-05) - (4097, 1.2071e-05) - (9217, 3.2610e-06) - (1e6, 0.00003341) - (2.3e7, 0.00131415) -; -\end{loglogaxis} -\end{lstlisting} - You can represent arbirtrarily small or very large numbers as long as its logarithm can be represented as a \TeX-length (up to about~$16384$). Of course, any coordinate~$x\le 0$ is not possible since the logarithm of a non-positive number is not defined. Such coordinates will be skipped automatically. - - \item As a consequence of the coordinate parsing routines, you can't use the mathematical expression parsing method of \PGF\ as coordinates. - - \item If you did not specify axis limits for $x$ and $y$ manually, \lstinline!\addplot! will compute them automatically. - - The automatic computation of axis limits works as follows: - \begin{enumerate} - \item In case of \lstinline!\addplot plot coordinates {...};!, every coordinate will be checked. - Any other \Tikz-plot mode is not (yet) supported (had no time yet). - \item Since more than one \lstinline!\addplot! command may be used inside an \lstinline!\begin{axis}...\end{axis}!, all drawing commands will be postponed until \lstinline!\end{axis}!. - - See the \lstinline!\axispath!-command for more information about automatic axis limits and the postponed drawing. - \end{enumerate} -\end{itemize} - -\subsection{\texttt{\textbackslash axispath...;}} -This command allows to draw custom content into an axis. The argument to \lstinline!\axispath! may be any \Tikz-command like -\begin{lstlisting} -\axispath\node at (12.14368,-9.30872) {}; -\end{lstlisting} -or -\begin{lstlisting} -\axispath\draw (12.14368,-9.30872) -- (0,1); -\end{lstlisting} -A useful example is presented in section~\ref{sec:annot:plot} where annotations are placed near some data points. - -The \lstinline!\axispath! command is necessary to communicate drawing commands to \PGFPlots. If \PGFPlots\ needs to determine the $x$~and/or~$y$ limits automatically, any plotting commands (including those with \lstinline!\axispath!) will be postponed until \lstinline!\end{axis}!. - -A missing \lstinline!\axispath! may corrupt your graphics because the clipping area may not yet be known. - -\subsection{\texttt{\textbackslash addlegendentry\{name\}}} -Adds a single legend entry to the legend list. Example: -\begin{lstlisting} -\begin{axis} -\addplot[smooth,mark=*,blue] plot coordinates { - (0,2) - (2,3) - (3,1) -}; -\addlegendentry{Case 1} - -\addplot[smooth,color=red,mark=x] - plot coordinates { - (0,0) - (1,1) - (2,1) - (3,2) - }; -\addlegendentry{Case 2} -\end{axis} -\end{lstlisting} -The outcome of this listing is shown in figure~\ref{fig:addlegendentry}. -\begin{figure} - \centering - \begin{tikzpicture} - \begin{axis} - \addplot[smooth,mark=*,blue] plot coordinates { - (0,2) - (2,3) - (3,1) - }; - \addlegendentry{Case 1} - - \addplot[smooth,color=red,mark=x] - plot coordinates { - (0,0) - (1,1) - (2,1) - (3,2) - }; - \addlegendentry{Case 2} - \end{axis} - \end{tikzpicture} - - \caption{An example for the \texttt{\textbackslash addlegendentry} command}% - \label{fig:addlegendentry}% -\end{figure}% -It does not matter where \lstinline!\addlegendentry! commands are placed, only the sequence matters. You will need one \lstinline!\addlegendentry! for every \lstinline!\addplot! command. - -You may also consider the command \lstinline!\legend!. It also accepts several formatting options. - -\subsection{\texttt{\textbackslash legend[OPTIONS]\{LIST\}}} -\label{sec:legenddef}% -You can use -\begin{lstlisting} -\begin{tikzpicture} -\begin{axis} -... -\legend{$d=2$\\$d=3$\\$d=4$\\$d=5$\\$d=6$\\} -... -\end{axis} -\end{tikzpicture} -\end{lstlisting} -to assign a complete legend. The \lstinline!\legend! command takes the following arguments: -\begin{lstlisting} -\legend[OPTIONS]{TEXT1\\TEXT2\\TEXT3\\...\\} -\end{lstlisting} -where each legend element needs to be terminated by \lstinline!\\!. If \texttt{LIST} is empty, the current legend will not be touched (see \lstinline!\addlegendentry!). The short marker/line combination shown in legends is acquired from the argument to \lstinline!\addplot[...]!. - -\subsubsection{Legend appearance} -The style ``\texttt{every axis legend}'' determines the legend's position and outer appearance: -\begin{lstlisting} -\tikzstyle{every axis legend}+=[ - at={(0,0)}, - anchor=south west] -\end{lstlisting} -will draw it at the lower left corner of the axis while -\begin{lstlisting} -\tikzstyle{every axis legend}+=[ - at={(1,1)}, - anchor=north east] -\end{lstlisting} -means the upper right corner. The `\texttt{anchor}' option determines which point \emph{of the legend} will be placed at $(0,0)$ or $(1,1)$ (see below for more examples). - -The legend is a node, so you can use any \Tikz\ option which affects -nodes (see~\cite[section~13]{tikz}). The node's option ``\texttt{text width}'' is set automatically, depending on the \lstinline!\legend[textwidth=...]! option. - -Examples: -\begin{itemize} -\item -\begin{lstlisting} -\tikzstyle{every axis legend}+=[ - at={(1.02,1)}, - anchor=north west] -\end{lstlisting} -draws the legend OUTSIDE TOP RIGHT. - -\item -\begin{lstlisting} -\tikzstyle{every axis legend}+=[ - at={(1,0.5)}, - anchor=east,outer sep=0.5cm] -\end{lstlisting} -draws the legend INSIDE MIDDLE RIGHT, separated by 0.5cm from the axis. -\end{itemize} - -\noindent -The default is -\begin{lstlisting} -\tikzstyle{every axis legend}=[% - anchor=north east,% - shape=rectangle,% - fill=white,% - draw=black, - at={(0.98,0.98)} - ] -\end{lstlisting} - -\subsubsection{Legends Options} -\subsubsection*{textwidth=auto$|$none$|$DIMENSION} -Assigns a width to the legend. Choices are -\begin{description} - \item[auto] Determines the width automatically; - \item[none] does not perform any line breaking; - \item[DIMENSION] uses a fixed width like \lstinline!2cm! for the (total) legend (including the small marker/line combination). -\end{description} -Default is ``\texttt{auto}''. - -\subsubsection*{font=COMMANDS} -Changes the legend font. Examples: -\begin{itemize} - \item \lstinline!font=\Huge! - \item \lstinline!font={\Huge\bfseries}! -\end{itemize} -Please note that the \Tikz\ option ``\texttt{font}'' will also be used, so you can also say -\begin{lstlisting} -\tikzstyle{every axis legend}+=[font=\Huge] -\end{lstlisting} -to get the same effect. The difference is that I didn't figure out how to determine the legend's width without a legend option. - - -\subsection{\texttt{\textbackslash autoplotspeclist}} -Allows to specify a list of plot specifications which will be used for each \lstinline!\addplot!-command without explicit plot specification. - -There are several possiblities to change it: -\begin{enumerate} - \item Use one of the predefined lists, -\begin{lstlisting} -\listcopy\coloredplotspeclist\to\autoplotspeclist% -\listcopy\blackwhiteplotspeclist\to\autoplotspeclist% -\end{lstlisting} - \item Define your own one, -\begin{lstlisting} -\listnew{\autoplotspeclist}{% - blue,mark=*\\% - red,mark=square\\% - dashed,mark=o\\% - loosely dotted,mark=+\\% - brown!60!black,mark options={fill=brown!40},mark=otimes*\\% -} -\end{lstlisting} - (This example list requires \lstinline!\usetikzlibrary{plotmarks}!). -\end{enumerate} -Please note that the `\lstinline!\\!' is required to separate each element. Please note that comment characters~`\%' are necessary if the elements are on different lines. - -\subsection{\texttt{\textbackslash logtologten\{ARG\}}} -Expands to the result of $\texttt{ARG}/\log(10)$. You can also use -\begin{lstlisting} -\logtologtentomacro{9.5}{\result} -\end{lstlisting} -and \lstinline!\result! will be filled with the result. - -\subsection{\texttt{\textbackslash logten}} -Expands to the constant $\log(10)$. Useful for logplots because $\log(10^i) = i\log(10)$. - -\subsection{\texttt{\textbackslash prettyprintnumber\{NUM\}}} -Allows to generate pretty--printed output for the number \texttt{NUM}. Examples: -\begin{lstlisting} -\prettyprintnumber{1.0} - -\prettyprintnumber{151.015341} - -\prettyprintnumber{90.99999} -\end{lstlisting} -results in - -\prettyprintnumber{1.0}, - -\prettyprintnumber{151.015341}, - -\prettyprintnumber{90.99999}. - -It is used to display axis ticks. The default rounding precision is defined by -\begin{lstlisting} -\def\prettyprintnumberprecision{2} -\end{lstlisting} -and can be reconfigured if needed (the highest precision is~$5$ due to \TeX's restricted numerical capabilities). - -\subsection{\texttt{\textbackslash axispreset\{key=value,key=value\}}} -Allows to define default options for any axis. For example, -\begin{lstlisting} -... -\axispreset{width=\textwidth}% -... -\begin{tikzpicture} -\begin{axis} -... -\end{axis} -\end{tikzpicture} -\end{lstlisting} -will produce a width of \lstinline!\textwidth! for any following axis. You can preset any of the \texttt{axis}-options described below. - -\subsection{\texttt{\textbackslash legendpreset\{key=value,key=value\}}} -Allows to define default options for any legend (See \lstinline!\axispreset!, it works in the same way.). - -\subsection{Axis options} -There are several required and even more optional arguments to modify axes. They are used like -\begin{lstlisting} -\begin{tikzpicture} -\begin{axis}[key=value,key2=value2] -... -\end{axis} -\end{tikzpicture} -\end{lstlisting} -The overall appeareance can be changed with -\begin{lstlisting} -\tikzstyle{every axis}=[line width=1pt] -\end{lstlisting} -for example. - -\subsubsection*{\texttt{xmin=COORD}, \texttt{xmax=COORD}, \texttt{ymin=COORD}, \texttt{ymax=COORD}} -These options denote the axis limits, i.e. the lower left and the upper right corner. Some remarks -\begin{itemize} - \item The axis limits determine the plotted range. Everything else will be clipped away. - \item The width of every unit $x$-coordinate will be scaled such that the plot has width \lstinline!\axisdefaultwidth! (including the tick- and axis labels). The height of every unit $y$-coordinate will be scaled such that the plot has height \lstinline!\axisdefaultheight!. - - You can override this default behavior with the options \lstinline!width=DIMEN!, \lstinline!height=DIMEN!, \lstinline!x=DIMEN! and \lstinline!y=DIMEN!, see below. - \item If one of \lstinline!xmin! or \lstinline!xmax! is missing, the $x$-interval will be determined automatically (see \lstinline!\addplot!). The same holds true if one of \lstinline!ymin! or \lstinline!ymax! is missing: in this case, the $y$-interval will be determined automatically. - - \item The option \lstinline!enlargelimits! will automatically increase the plotted range. -\end{itemize} - -\subsubsection*{\texttt{xlabel=TEXT}, \texttt{ylabel=TEXT}} -Changes the axis labels to `\texttt{TEXT}' which is any \LaTeX\ text. Use `\lstinline!{TEXT}!' if you need grouping. - -Labels are \Tikz-Nodes which are placed with -\begin{lstlisting} -\node - [style=every axis label, - style=every axis x label] -\node - [style=every axis label, - style=every axis y label] -\end{lstlisting} -so you can reconfigure their position and appearance. As for legends, the coordinate \lstinline!(0,0)! denotes the lower left axis corner and \lstinline!(1,1)! the upper right. - -The default styles are -\begin{lstlisting} -\tikzstyle{every axis label}=[] -\tikzstyle{every axis x label}=[ - at={(0.5,0)}, - below, - yshift=-15pt] -\tikzstyle{every axis y label}=[ - at={(0,0.5)}, - xshift=-35pt, - rotate=90] -\end{lstlisting} - -\subsubsection*{\texttt{title=TEXT}} -Adds a caption to the plot. This will place a \Tikz-Node with -\begin{lstlisting} -\node[style=every axis title] {TEXT}; -\end{lstlisting} -to the current axis. An example is shown in figure~\ref{fig:titleexample}. The title is placed in the middle of the axis (the placing does not incorporate any axis descriptions). You can reconfigure the appearance and/or placing of the title for example with -\begin{lstlisting} -\tikzstyle{every axis title}+=[at={(0.75,1)}] -\end{lstlisting} -This will place the title at~75\% of the $x$-axis. The coordinate~$(0,0)$ is the lower left corner and~$(1,1)$ the upper right one. - -Please note that using the \LaTeX\ floating figures together with \lstinline!\caption{TEXT}! may be more appropriate in many situation. However, `\texttt{title}' allows access to the axis' size without any axis descriptions which is useful if more than one plot needs a caption. -\begin{figure} - \centering - \begin{tikzpicture} - \begin{loglogaxis}[ - width=0.48\textwidth, - xlabel=Dof,ylabel=Error, - title={$\mu=0.1$, $\sigma=0.2$}] - - \addplot plot coordinates { - (5, 8.312e-02) - (17, 2.547e-02) - (49, 7.407e-03) - (129, 2.102e-03) - (321, 5.874e-04) - (769, 1.623e-04) - (1793, 4.442e-05) - (4097, 1.207e-05) - (9217, 3.261e-06) - }; - \end{loglogaxis} - \end{tikzpicture}% - \hfill - \begin{tikzpicture} - \begin{loglogaxis}[ - width=0.48\textwidth, - xlabel=Dof,ylabel=Error, - title={$\mu=1$, $\sigma=\frac{1}{2}$}] - - \addplot[color=red,mark=*] plot coordinates { - (7, 8.472e-02) - (31, 3.044e-02) - (111, 1.022e-02) - (351, 3.303e-03) - (1023, 1.039e-03) - (2815, 3.196e-04) - (7423, 9.658e-05) - (18943, 2.873e-05) - (47103, 8.437e-06) - }; - \end{loglogaxis} - \end{tikzpicture} - - \begin{lstlisting} - \begin{tikzpicture} - \begin{loglogaxis}[ - width=0.48\textwidth, - xlabel=Dof,ylabel=Error, - title={$\mu=0.1$, $\sigma=0.2$}] - - \addplot plot coordinates { - (5, 8.312e-02) - (17, 2.547e-02) - ... - (4097, 1.207e-05) - (9217, 3.261e-06) - }; - \end{loglogaxis} - \end{tikzpicture}% - \hfill - \begin{tikzpicture} - \begin{loglogaxis}[ - width=0.48\textwidth, - xlabel=Dof,ylabel=Error, - title={$\mu=1$, $\sigma=\frac{1}{2}$}] - - \addplot[color=red,mark=*] plot coordinates { - (7, 8.472e-02) - (31, 3.044e-02) - ... - (18943, 2.873e-05) - (47103, 8.437e-06) - }; - \end{loglogaxis} - \end{tikzpicture} - \end{lstlisting} - \caption{An example for the `\texttt{title}' option. Some data points have not been listed, the `\texttt{...}' is not part of the plot.} - \label{fig:titleexample} -\end{figure} - - -\subsubsection*{\texttt{xmode=normal$|$log}, \texttt{ymode=normal$|$log}} -Allows to choose between normal plots or logplots for each $x,y$-combination. Default is \lstinline!xmode=normal!, \lstinline!ymode=normal!. - -\subsubsection*{\texttt{xtick=\{LIST\}}, \texttt{ytick=\{LIST\}}} -Assigns a list of \emph{Positions} where ticks shall be placed. The argument \texttt{LIST} will be used inside of a \lstinline!\foreach \x in {LIST}! statement, and \texttt{LIST} contains one of the following formats: -\begin{itemize} - \item \lstinline!{0,1,2,5,8}! (a series of coordinates), - \item \lstinline!{0,...,5}! (the same as \lstinline!{0,1,2,3,4,5}!), - \item \lstinline!{0,2,...,10}! (the same as \lstinline!{0,2,4,6,8,10}!), - \item \lstinline!{9,...,3.5}! (the same as \lstinline!{9, 8, 7, 6, 5, 4}!), - \item See \cite[Section~34]{tikz} for a more detailed definition of the options. -\end{itemize} -For logplots, \PGFPlots\ will apply $\log(\cdot)$ to each element in `\texttt{LIST}'. - -\paragraph{Attention:} You can't use the `\texttt{...}' syntax if the elements are too large for \TeX! For example, `\texttt{xtick=1.5e5,2e7,3e8}' will work (because the elements are interpreted as strings, not as numbers), but `\texttt{xtick=1.5,3e5,...,1e10}' will fail because it involves real number arithmetics beyond \TeX's capacities. -\vspace*{0.3cm} - -\noindent -The default choice for ticks in a normal plot is to place them at each integer. The default for logplots it to place ticks at each $10^i$ in the axis' range. - -The tick appearance can be (re-)configured with -\begin{lstlisting} -\tikzstyle{every tick}=[very thin,gray] -\tikzstyle{every minor tick}=[] -\end{lstlisting} -This style commands can be used at any time. The tick line width can be configured with the \lstinline!axis!-options `\texttt{tickwidth}' and `\texttt{subtickwidth}'. - -\subsubsection*{\texttt{xtickten=\{LIST\}}, \texttt{ytickten=\{LIST\}}} -These options allow to place ticks at selected positions $10^k, k \in \text{\texttt{LIST}}$. They are only used for logplots. The syntax for `\texttt{LIST}' is the same as above for `\texttt{xtick=LIST}' or `\texttt{ytick=LIST}'. - -\subsubsection*{\texttt{xticklabel=\{TEXT\}}, \texttt{yticklabel=\{TEXT\}}} -Allows to change the \emph{text} assigned to each tick position (see options \texttt{xtick} and \texttt{ytick}). The argument `\texttt{TEXT}' can be any \LaTeX-text. The following commands are valid inside of \texttt{TEXT}: -\begin{description} - \item[\textbackslash tick] The current element of option \lstinline!xtick! (or \lstinline!ytick!). - \item[\textbackslash ticknum] The current tick number, starting with~0 (a counter). -\end{description} -The default argument is -\begin{itemize} - \item \lstinline!\axisdefaultticklabel! for normal plots and - \item \lstinline!\axisdefaultticklabellog! for logplots, see below. -\end{itemize} -(the same holds for \lstinline!yticklabel!). The defaults are set to -\begin{lstlisting} -\newcommand{\axisdefaultticklabel}[0]{% - $\prettyprintnumber{\tick}$% -} - -\newcommand{\axisdefaultticklabellog}[0]{{% - \logtologtentomacro{\tick}{\roundedtick}% - $10^{\prettyprintnumber{\roundedtick}}$% -}} -\end{lstlisting} -You can change the appearance of tick labels with -\begin{lstlisting} -\tikzstyle{every tick label}=[] -\end{lstlisting} -and/or -\begin{lstlisting} -\tikzstyle{every x tick label}=[] -\end{lstlisting} -and -\begin{lstlisting} -\tikzstyle{every y tick label}=[] -\end{lstlisting} - -\subsubsection*{\texttt{tickpos=left$|$right$|$both}} -Allows to choose where to place the small tick lines. Default is ``\texttt{both}''. This setting applies to both $x$~and~$y$ axis where ``left'' and ``right'' mean ``bottom'' and ``top'' for~$y$. - -\subsubsection*{\texttt{xminorticks=true$|$false}, \texttt{yminorticks=true$|$false}} -Enables/disables the small minor tick lines. They are only used in log plots. Please note that minor ticks are automatically disabled if \texttt{xtick} is not a uniform range\footnote{A uniform list means the difference between all elements is~$1$ for normal plots or, for logplots, $\log(10)$.}. Default is \texttt{true}. - -\subsubsection*{\texttt{tickwidth=DIMEN}, \texttt{subtickwidth=DIMEN}} -Allows to configure the width of the small tick lines. Sub ticks are only displayed for logarithmic plots. - -\subsubsection*{\texttt{enlargelimits}} -Enlarges the axis size somewhat. - -You can set \texttt{xmin}, \texttt{xmax} and \texttt{ymin}, \texttt{ymax} to the minimum/maximum values of your data and \texttt{enlargelimits} will enlarge the canvas such that the axis doesn't touch the plots. - -Default is \lstinline!true! if axis limits are determined automatically and \lstinline!false! if you provide them manually. - -\subsubsection*{\texttt{disablelogfilter}} -Disables numerical evaluation of $\log(x)$ in \LaTeX. If you specify this option, any plot coordinates and tick positions must be provided as $\log(x)$ instead of $x$. This may be faster and -- possibly -- more accurate than the numerical log. The current implementation of $\log(x)$ normalizes~$x$ to $m\cdot 10^e$ and computes -\[ \log(x) = \log(m) + e \log(10) \] -where $y = \log(m)$ is computed with a newton method applied to $\exp(y) - m$. The normalization involves string parsing without \TeX-registers. You can savely evaluate $\log(1\cdot 10^{-7})$ although \TeX-registers would produce an underflow for such small numbers. - -The exponential function is implemented in pgf using a truncated Euler McLaurin--series. - -The current implementation of $\log(\cdot)$ is done by the macro \lstinline!\pgfmathlog! which is provided by package \lstinline!pgfmathlog.sty! (contained in the \PGFPlots-bundle). - -\subsubsection*{\texttt{width=DIMEN}, \texttt{height=DIMEN}} -The axis is always scaled such that its dimension is - -{\centering\lstinline!(\axisdefaultwidth,\axisdefaultheight)!. - -}% -\noindent -The options \lstinline!width=DIMEN! and \lstinline!height=DIMEN! override the default scaling. If just one of them is specified, the other one is scaled such that the aspect ratio stays the same. - -\noindent\underline{Remarks:} -\begin{itemize} - \item The scaling only affects the width of one unit in $x$-direction or the height for one unit in $y$-direction. Axis labels and tick labels won't be resized. - - \item You can use the \Tikz-\lstinline!scale=NUMBER! option, - \begin{lstlisting} - \begin{tikzpicture}[scale=2] - \begin{axis} - ... - \end{axis} - \end{tikzpicture} - \end{lstlisting} - to scale the complete picture. - - \item The \Tikz-options \lstinline!x! and \lstinline!y! which set the unit dimensions in $x$ and $y$ directions can be specified as arguments to \lstinline!\begin{axis}[x=1.5cm,y=2cm]! if needed (see below). These settings override the \lstinline!width! and \lstinline!height! options. - - \item Use - \begin{lstlisting} - \renewcommand{\axisdefaultwidth}{3cm} - \renewcommand{\axisdefaultheight}{6cm} - \begin{axis} - ... - \end{axis} - \end{lstlisting} - to replace the default dimension. - - \item Please note that up to the writing of this manual, \PGFPlots\ only estimates the size needed for axis- and tick labels. It does not include legends which have been placed outside of the axis\footnote{I.e. the `\texttt{width}' option will not work as expected, but the bounding box is still ok.}. This may be fixed in future versions. - - Use the \lstinline!x=DIMEN! and \lstinline!y=DIMEN! options if the scaling happens to be wrong. -\end{itemize} - - -\subsubsection*{\texttt{x=DIMEN}, \texttt{y=DIMEN}} -Use - \begin{lstlisting} - \begin{tikzpicture} - \begin{axis}[x=1.5cm,...] - ... - \end{axis} - \end{tikzpicture} - \end{lstlisting} - to set the unit size for one $x$-coordinate to 1.5cm. The same is possible for the $y$-coordinate. - - Setting $x$ explicitly overrides the \lstinline!width! option. Setting $y$ explicitly overrides the \lstinline!height! option. - - Please note that it is \emph{not} possible to specify \lstinline!x! as argument to \lstinline!tikzpicture!. The option - \begin{lstlisting} - \begin{tikzpicture}[x=1.5cm] - \begin{axis} - ... - \end{axis} - \end{tikzpicture} - \end{lstlisting} - won't have any effect because an axis is always scale to the final size - - {\centering\lstinline!(\axisdefaultwidth,\axisdefaultheight)! - - }% - \noindent - (see the \lstinline!width! option). - -\subsubsection*{\texttt{xfilter=CMD}, \texttt{yfilter=CMD}} -These options allow coordinate filtering. A coordinate filter maps an input coordinate to an output coordinate (or discards it completely). - -Coordinate filters are useful in automatic processing system, where \PGFPlots\ is used to display automatically generated plots. You may not want to filter your coordinates by hand, so these options provide a tool to do this automatically. - -Be warned: `\texttt{xfilter}' and `\texttt{yfilter}' are advanced options and may require advanced knowledge about \TeX. - -They are used as in the following example. The code -\begin{lstlisting} -\def\myOwnXfilter#1\to#2{% - \def#2{0.5}% -}% -\begin{tikzpicture} -\begin{axis}[xfilter={\myOwnXfilter}] -\addplot plot coordinates { - (4,0) - (6,1) -}; -\end{axis} -\end{tikzpicture} -\end{lstlisting} -will result in -\begin{center} -{% -\def\myOwnXfilter#1\to#2{% - \def#2{0.5}% -}% -\begin{tikzpicture} -\begin{axis}[xfilter={\myOwnXfilter}] -\addplot plot coordinates { - (4,0) - (6,1) -}; -\end{axis} -\end{tikzpicture} -}% -\end{center} -because all $x$-coordinates are replaced by~$0.5$. - -The Argument `\texttt{CMD}' is the name of a \TeX-macro which takes exactly two arguments which are separated by the string `\texttt{\string\to}'. Such a macro is defined as -\begin{lstlisting} -\def\exampleFilter#1\to#2{% - \def#2{#1}% -}% -\end{lstlisting} -This example uses the \TeX-command \lstinline!\def! to define variables and commands. The arguments are used as follows: -\begin{itemize} - \item \PGFPlots\ invokes the filter with argument \texttt{\#1} set to the input coordinate. For $x$-filters, this is the $x$-coordinate as it is specified to \lstinline!\addplot!, for $y$-filters it is the $y$-coordinate. - \item If the corresponding axis is logarithmic, \texttt{\#1} is the \emph{logarithm} of the coordinate as a real number, for example \texttt{\#1=4.2341}. - \item Argument \texttt{\#2} is the name of a \TeX\ command. The filter should assign this command. The first filter above assigned the constant~$0.5$ and the second filter did not filter anything because it is the identity. - - The replacement text of \texttt{\#2} is expected to be \emph{either} empty \emph{or} a real number (without any length-suffix like `cm' or `pt'). If it is empty, the coordinate won't be drawn at all, it will be thrown away. -\end{itemize} - -\subsection{\texttt{execute at begin plot=COMMANDS}} -This axis option allows to invoke `\texttt{COMMANDS}' at the beginning of each \lstinline!\addplot! command. The argument `\texttt{COMMANDS}' can be any \LaTeX\ content. - -You may use this in conjunction with \texttt{xfilter=...} to reset any counters or whatever. An example would be to change every 4th coordinate. - -\subsection{\texttt{execute at end plot=COMMANDS}} -This axis option allows to invoke `\texttt{COMMANDS}' after each \lstinline!\addplot! command. The argument `\texttt{COMMANDS}' can be any \LaTeX\ content. diff --git a/Master/texmf-dist/doc/latex/pgfplots/manual.tex b/Master/texmf-dist/doc/latex/pgfplots/manual.tex deleted file mode 100644 index a78b88be948..00000000000 --- a/Master/texmf-dist/doc/latex/pgfplots/manual.tex +++ /dev/null @@ -1,94 +0,0 @@ -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% -% Package pgfplots.sty documentation. -% -% Copyright 2007/2008 by Christian Feuersaenger. -% -% This program is free software: you can redistribute it and/or modify -% it under the terms of the GNU General Public License as published by -% the Free Software Foundation, either version 3 of the License, or -% (at your option) any later version. -% -% This program is distributed in the hope that it will be useful, -% but WITHOUT ANY WARRANTY; without even the implied warranty of -% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -% GNU General Public License for more details. -% -% You should have received a copy of the GNU General Public License -% along with this program. If not, see . -% -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\documentclass[a4paper]{article} - -\usepackage{ifpdf} -\ifpdf - \usepackage[pdftex]{hyperref} -\else - \usepackage[dvipdfm]{hyperref} -\fi -% \usepackage{graphicx} -\usepackage[intlimits]{amsmath} -\usepackage{amssymb} -\usepackage{amsfonts} - -\usepackage{listings} -\usepackage{courier} -\lstset{% - basicstyle=\ttfamily, - language=[LaTeX]tex, % Seems as if \lstset{language=tex} must be invoked BEFORE loading tikz!? - tabsize=4, - breaklines=true, - breakindent=0pt -} - -\ifpdf - \pdfinfo { - /Author (Christian Feuersaenger) - } - -\else - \def\pgfsysdriver{pgfsys-dvipdfm.def} -\fi -%\def\pgfsysdriver{pgfsys-pdftex.def} -\usepackage{pgfplots} - -\newcommand{\FIXME}[1]{\textcolor{red}{(FIXME: #1)}} - -% fuer endvironment 'sidewaysfigure' bspw -% \usepackage{rotating} - -\newcommand\Tikz{Ti\textit kZ} -\newcommand\PGF{PGF} -\newcommand\PGFPlots{Pgfplots} - -\author{% - Christian Feuers\"anger\footnote{\url{http://wissrech.ins.uni-bonn.de/people/feuersaenger}}\\% - Institut f\"ur Numerische Simulation\\ - Universit\"at Bonn, Germany} -\title{Manual for Package \PGFPlots\\{\small Version \pgfplotsversion}} - -\begin{document} -\maketitle -\begin{abstract}% -\PGFPlots\ draws high--quality function plots in normal or logarithmic scaling with a user-friendly interface. The user supplies axis labels, legend entries and the plot coordinates for one or more plots and \PGFPlots\ applies axis scaling, computes any logarithms and axis ticks and draws the plots. It is based on Till Tantau's package \PGF/\Tikz. -\end{abstract} -\tableofcontents -\section{Introduction} -This package provides tools to generate plots and labeled axes easily. It draws normal plots, logplots and semi-logplots. Axis ticks, labels, legends (in case of multiple plots) can be added with key-value options. It can cycle through a set of predefined line/marker/color specifications. In summary, its purpose is to simplify the generation of high-quality function plots, especially for use in scientific contexts (logplots). - -It is build completely on \Tikz\ and \PGF\ and may be used as \Tikz\ library. While \Tikz\ supports a wide range of plotting utilities, axis generation, labels and legends are usually done with several foreach statements. This is substantially easier with \PGFPlots. - - -\input{manual.install.tex}% -\input{manual.intro.tex}% -\input{manual.reference.tex}% -\input{manual.examples.tex}% - - - - - -\bibliographystyle{abbrv} %gerapali} %gerabbrv} %gerunsrt.bst} %gerabbrv}% gerplain} -\bibliography{manual.bib} -\end{document} diff --git a/Master/texmf-dist/doc/latex/pgfplots/matlab2pgfplots.m b/Master/texmf-dist/doc/latex/pgfplots/matlab2pgfplots.m new file mode 100644 index 00000000000..c591a7a4af7 --- /dev/null +++ b/Master/texmf-dist/doc/latex/pgfplots/matlab2pgfplots.m @@ -0,0 +1,332 @@ +function matlab2pgfplots(varargin ) +% matlab2pgfplots(outfile ) +% matlab2pgfplots( outfile, OPTIONS ) +% +% Generate LaTeX code for use in package pgfplots to +% draw line plots. +% +% It will use every (2d) line plot in the figure specified by handler fighandle. +% +% It understands +% - axis labels, +% - legends, +% - any 2d line plots, +% - line styles/markers (in case of styles=1), +% - tick positions, labels and axis limits (in case of axes=1). +% +% Linestyles and markers will follow as an option. However, pgfplots has its +% own line styles which may be appropriate. +% +% OPTIONS are key value pairs. Known options are +% - 'fig',HANDLE +% a figure handle (default is 'gcf'). +% - 'styles',0|1 +% a boolean indicating whether line styles, markers and colors shall be exported (default 1). +% - 'axes',0|1 +% a boolean indicating whether axis ticks, tick labels and limits shall be exported (default 0). +% - 'maxpoints',100 +% an integer denoting the maximum number of points exported to tex. If the actual number is larger, +% the data will be interpolated to 'maxpoints'. The interpolation assumes +% parametric plots if x and y are not monotonically increasing. +% +% See +% http://tug.ctan.org/tex-archive/graphics/pgf/contrib/pgfplots/ +% for details about pgfplots. +% +% +% Copyright Christian Feuersaenger 2008 +% +parser = inputParser; + +parser.addRequired( 'outfile', @(x) ischar(x) ); +parser.addParamValue( 'fig', gcf, @(x) ishandle(x) ); +parser.addParamValue( 'styles', 1, @(x) x==0 || x==1 ); +parser.addParamValue( 'axes' , 0, @(x) x==0 || x==1 ); +parser.addParamValue( 'maxpoints', 100000, @(x) isnumeric(x) ); + +parser.parse( varargin{:} ); + + +fighandle = parser.Results.fig; + +lineobjs = findobj(fighandle, 'Type', 'line' ); +axesobj = findobj( fighandle, 'Type', 'axes' ); + +legendobj = findobj( fighandle, 'tag', 'legend' ); +if length(legendobj) > 0 + allchildsoflegend = [ findobj( legendobj ) ]; + lineobjs = setdiff( lineobjs, allchildsoflegend ); + axesobj = setdiff( axesobj, allchildsoflegend ); +end + +FID=fopen( parser.Results.outfile, 'w' ); +assert( FID >= 0, [ 'could not open file ' parser.Results.outfile ' for writing' ] ); + +ENDL=sprintf('\n'); +TAB=sprintf('\t'); +fwrite( FID, [ ... + '\begin{tikzpicture}%' ENDL ... + '\begin{axis}'] ); + +xislog = 0; +yislog = 0; + +if length(axesobj) > 0 + axis = axesobj(1); + xlabel = get( get(axis, 'XLabel'), 'String'); + ylabel = get( get(axis, 'YLabel'), 'String'); + zlabel = get( get(axis, 'ZLabel'), 'String'); + xscale = get(axis,'XScale'); + yscale = get(axis,'YScale'); + + axisoptions = {}; + if length(xlabel) > 0 + axisoptions = [ axisoptions [ 'xlabel={' xlabel '}'] ]; + end + if length(ylabel) > 0 + axisoptions = [ axisoptions ['ylabel={' ylabel '}'] ]; + end + if strcmp(xscale,'log') + xislog=1; + axisoptions = [ axisoptions ['xmode=log'] ]; + end + if strcmp(yscale,'log') + yislog = 1; + axisoptions = [ axisoptions ['ymode=log'] ]; + end + if parser.Results.axes + for k = 'xy' + L = get(gca, [ k 'Lim'] ); + axisoptions = [ axisoptions [ k 'min=' num2str(L(1)) ] ]; + axisoptions = [ axisoptions [ k 'max=' num2str(L(2)) ] ]; + end + + for k = 'xy' + L = get(gca, [ k 'Tick'] ); + opt = [ k 'tick={' ]; + for q=1:length(L) + if q>1 + opt = [opt ',' ]; + end + opt = [opt num2str(L(q)) ]; + end + opt = [ opt '}' ]; + axisoptions = [axisoptions opt ]; + end + + end + + + axisoptstr = []; + for i = 1:length(axisoptions) + if i>1 + axisoptstr = [axisoptstr ',' ENDL TAB]; + end + axisoptstr = [axisoptstr axisoptions{i}]; + end + if length( axisoptstr ) + fwrite( FID, [ '[' ENDL TAB axisoptstr ']' ENDL ] ); + end +end +fwrite( FID, ENDL ); + +if length(legendobj) > 0 + legentries = get(legendobj, 'String'); + if length(legentries) > 0 + legstr = ['\legend{%' ENDL TAB ]; + for i = 1:length(legentries) + legstr = [ legstr legentries{i} '\\%' ENDL ]; + if i ~= length(legentries) + legstr = [ legstr TAB ]; + end + end + legstr = [ legstr '}%' ENDL ]; + fwrite( FID, legstr ); + end +end + +xpointformat = '%f'; +ypointformat = '%f'; +if xislog + xpointformat = '%e'; +end +if yislog + ypointformat = '%e'; +end + +for i = 1:length(lineobjs) + + x = get(lineobjs(i), 'XData'); + y = get(lineobjs(i), 'YData'); + z = get(lineobjs(i), 'ZData'); + + if size(x,1) > 1 + disp( ['line element ' num2str(i) ' skipped: size ' num2str(size(x)) ' not supported']); + end + if abs(max(z) > 0) + disp( ['line element ' num2str(i) ' skipped: only 2d-plots supported up to now']); + end + + if size(x,2) > parser.Results.maxpoints + % we need to re-interpolate the data! + q = find( diff(x) < 0 ); + if length(q) + % parametric plot x(t), y(t), z(t). + % we assume t = 1:size(x,2) + X = 1:parser.Results.maxpoints; + x = interp1( 1:size(x,2),x, X); + y = interp1( 1:size(y,2),y, X); + z = interp1( 1:size(z,2),z, X); + + else + % a normal plot y(x): + X = linspace( min(x), max(x), parser.Results.maxpoints ); + y = interp1( x,y, X ); + x = X; + end + end + + coordstr = []; + for j = 1:size(x,2) + coordstr = [coordstr sprintf(['\t(' xpointformat ',\t' ypointformat ')\n'], x(j), y(j)) ]; + end + + addplotoptstr = []; + if parser.Results.styles + markOpts = {}; + mark = []; + linestyle = []; + color = []; + + C = matlabColorToPGFColor( get(lineobjs(i), 'Color') ); + if length(C) + color = [ 'color=' C ]; + end + + L = get(lineobjs(i), 'LineStyle' ); + switch L + case 'none' + linestyle = 'only marks'; + case '-' + linestyle = []; + case ':' + linestyle = 'densely dotted'; + case '-:' + linestyle = 'dash pattern=on 2pt off 3pt on 1pt off 3pt]'; + case '--' + linestyle = 'densely dashed'; + end + + M = get(lineobjs(i), 'Marker'); + switch M + case '.' + mark = '*'; + markOpts = [ markOpts 'scale=0.1' ]; + case 'o' + mark = '*'; + case 'x' + mark = 'x'; + case '+' + mark = '+'; + case '*' + mark = 'asterisk'; + case 'square' + mark = 'square*'; + case 'diamond' + mark = 'diamond*'; + case '^' + mark = 'triangle*'; + case 'v' + mark = 'triangle*'; + markOpts = [ markOpts 'rotate=180' ]; + case '<' + mark = 'triangle*'; + markOpts = [ markOpts 'rotate=90' ]; + case '>' + mark = 'triangle*'; + markOpts = [ markOpts 'rotate=270' ]; + case 'pentagramm' + mark = 'pentagon*'; + case 'hexagram' + mark = 'oplus*'; + end + + M = matlabColorToPGFColor( get(lineobjs(i), 'MarkerFaceColor') ); + if length(M) + markOpts = [ markOpts ['fill=' M] ]; + end + + M = matlabColorToPGFColor( get(lineobjs(i), 'MarkerEdgeColor') ); + if length(M) + markOpts = [ markOpts ['draw=' M] ]; + end + + if length(color) + if length(addplotoptstr) + addplotoptstr = [addplotoptstr ',' ]; + end + addplotoptstr = [ addplotoptstr color ]; + end + + if length(linestyle) + if length(addplotoptstr) + addplotoptstr = [addplotoptstr ',' ]; + end + addplotoptstr = [ addplotoptstr linestyle ]; + end + + if length(mark) + if length(addplotoptstr) + addplotoptstr = [addplotoptstr ',' ]; + end + addplotoptstr = [ addplotoptstr [ 'mark=' mark ] ]; + + if length(markOpts) + markOptsStr = 'mark options={'; + for q = 1:length(markOpts) + if q > 1 + markOptsStr = [markOptsStr ',' ]; + end + markOptsStr = [ markOptsStr markOpts{q} ]; + end + markOptsStr = [ markOptsStr '}' ]; + + addplotoptstr = [ addplotoptstr ',' markOptsStr ]; + end + end + + + if length(addplotoptstr) + addplotoptstr = [ '[' addplotoptstr ']' ]; + end + + end + fwrite( FID, [ ... + '\addplot' addplotoptstr ' plot coordinates {' ENDL coordstr '};' ENDL ] ); + +end + + +fwrite( FID, [ ... + '\end{axis}' ENDL ... + '\end{tikzpicture}%' ENDL ] ); + +end + +function cstr = matlabColorToPGFColor( C ) + +if length(C) ~= 3 | ischar(C) & strcmp(C,'none'), cstr = []; +elseif norm( C - [0 0 1 ], 'inf' ) < 1e-10, cstr = 'blue'; +elseif norm( C - [0 1 0 ], 'inf' ) < 1e-10, cstr = 'green'; +elseif norm( C - [1 0 0 ], 'inf' ) < 1e-10, cstr = 'red'; +elseif norm( C - [0 1 1 ], 'inf' ) < 1e-10, cstr = 'cyan'; +elseif norm( C - [1 0 1 ], 'inf' ) < 1e-10, cstr = 'magenta'; +elseif norm( C - [1 1 0 ], 'inf' ) < 1e-10, cstr = 'yellow'; +elseif norm( C - [0 0 0 ], 'inf' ) < 1e-10, cstr = 'black'; +elseif norm( C - [1 1 1 ], 'inf' ) < 1e-10, cstr = 'white'; +else + cstr= 'blue'; % FIXME +% cstr = [ '{rgb:red,' num2str( floor( C(1)*100) ) ';green,' num2str(floor(C(2)*100)) ';blue,' num2str(floor(C(3)*100)) '}' ]; +end + +end diff --git a/Master/texmf-dist/doc/latex/pgfplots/matlab2pgfplots.sh b/Master/texmf-dist/doc/latex/pgfplots/matlab2pgfplots.sh new file mode 100644 index 00000000000..9bc84642506 --- /dev/null +++ b/Master/texmf-dist/doc/latex/pgfplots/matlab2pgfplots.sh @@ -0,0 +1,80 @@ +#!/bin/sh + + +CONVERT_STYLES=1 +CONVERT_AXES=1 +OUTFILE="" +MAXPOINTS=100000 + +function echoHelp() +{ + echo -e \ + "matlab2pgfplots.sh [--maxpoints N] [--styles [0|1] ] [ --axes [0|1] ] [ -o OUTFILE ] INFILE ...\n"\ + "converts Matlab figures (.fig-files) to pgfplots-files (.pgf-files).\n"\ + "This script is a front-end for matlab2pgfplots.m (which needs to be in matlab's search path)\n"\ + "type\n"\ + " >> help matlab2pgfplots\n"\ + "at your matlab prompt for more information.\n" + exit 0 +} + +LONGOPTS="styles:,axes:,help,maxpoints:" +SHORTOPTS="o:" +ARGS=`getopt -l "$LONGOPTS" "$SHORTOPTS" "$@"` +if [ $? -ne 0 ]; then + echo "`basename $0`: Could not process command line arguments. Use the '--help' option for documentation." + exit 1 +fi + +eval set -- "$ARGS" +while [ $# -gt 0 ]; do + ARG=$1 + # echo "PROCESSING OPTION '$ARG' (next = $@)" + case "$ARG" in + --maxpoints) shift; MAXPOINTS=$1; shift;; + --styles) shift; CONVERT_STYLES="$1"; shift;; + --axes) shift; CONVERT_AXES="$1"; shift;; + -o) shift; OUTFILE="$1"; shift;; + --help) shift; echoHelp;; + --) shift; break;; + *) break; + esac +done + +if [ $# -eq 0 ]; then + echo "No input files specified." + exit 1 +fi + +HAS_OUTFILE=0 +if [ $# -gt 1 -a -n "$OUTFILE" ]; then + HAS_OUTFILE=1 +fi + +for A; do + INFILE="$A" + if [ $HAS_OUTFILE -eq 0 ]; then + OUTFILE="${INFILE%%.*}.pgf" + fi + echo "$INFILE -> $OUTFILE ... " + + M_LOGFILE=`mktemp` + matlab -nojvm -nodesktop -nosplash 1>/dev/null 2>&1 -logfile $M_LOGFILE <<-EOF + f=hgload( '$INFILE' ); + matlab2pgfplots( '$OUTFILE', 'fig', f, 'styles', $CONVERT_STYLES, 'axes', $CONVERT_AXES, 'maxpoints', $MAXPOINTS ); + exit + EOF + grep -q "Error" $M_LOGFILE + CODE=$? + if [ $CODE -eq 0 ]; then + echo "Matlab output:" 1>&2 + cat $M_LOGFILE 1>&2 + CODE=1 + else + CODE=0 + fi + rm -f $M_LOGFILE + if [ $CODE -ne 0 ]; then + exit $CODE + fi +done diff --git a/Master/texmf-dist/doc/latex/pgfplots/pgf2pdf.sh b/Master/texmf-dist/doc/latex/pgfplots/pgf2pdf.sh index adfc7f92f73..027a6157b77 100644 --- a/Master/texmf-dist/doc/latex/pgfplots/pgf2pdf.sh +++ b/Master/texmf-dist/doc/latex/pgfplots/pgf2pdf.sh @@ -43,8 +43,14 @@ function dumpHelp() { " input file will be skipped.\n"\ "\n"\ "--texdefs FILE\n"\ - " Uses a clean tex file which inputs FILE and the PGF image to convert\n"\ - " and processes this one.\n"\ + " Generates a temporary tex-file\n"\ + " \documentclass{article}\n"\ + " \input{FILE}\n"\ + " \begin{document}\n"\ + " \input{plot1.pgf}\n"\ + " \end{document}\n"\ + " and converts this one to pdf.\n"\ + " If FILE is '-', the input step is omitted.\n" "-v\n"\ " each -v option increases the verbosity.\n"\ "" @@ -218,20 +224,14 @@ for A in "${PGF_FILES[@]}"; do rm -f "${BASE}.pdf" cat >"$TMP_TEX_FILE" <<-EOF - \documentclass[a4paper]{report} - \usepackage{german} - \usepackage[utf8]{inputenc} % erlaubt direkte Nutzung von Umlauten - %\usepackage{ifpdf} - %\usepackage{graphicx} - \usepackage[intlimits]{amsmath} - \usepackage{amssymb} - \usepackage{amsfonts} + \documentclass{report} + + \input{${TEX_DEFINES}} + %\def\pgfsysdriver{pgfsys-dvipdfm.def} %\def\pgfsysdriver{pgfsys-pdftex.def} \usepackage{tikz} \pgfrealjobname{${TMP_TEX_FILE%%.tex}} - - \input{${TEX_DEFINES}} \begin{document} \let\oldjobname=\jobname% % make sure that PGF recognises that jobname==target file name diff --git a/Master/texmf-dist/doc/latex/pgfplots/pgfmathlogtest.tex b/Master/texmf-dist/doc/latex/pgfplots/pgfmathlogtest.tex index 8fbc889f526..86fa5795a87 100644 --- a/Master/texmf-dist/doc/latex/pgfplots/pgfmathlogtest.tex +++ b/Master/texmf-dist/doc/latex/pgfplots/pgfmathlogtest.tex @@ -20,9 +20,6 @@ \begin{document} \maketitle -Hier evaluiere ich logarithmen. - -\message{HIER GEHTS LOS!}% \def\vgl#1#2{% \begingroup \message{COMPUTING LOG(#1)}% @@ -45,8 +42,9 @@ Hier evaluiere ich logarithmen. \def\normalize#1{% \begingroup \message{NORMALISING #1...}% - \pgfmathnormalisedfloatingpoint#1\to\M\powten\E - \[ #1 \mapsto \M\cdot 10^{\E} \] + \sciparse#1\to\M\powten\E + \sciparsesign{#1}\S\MM\EE + \[ #1 \mapsto \M \cdot 10^{\E}\quad \bigl( = \MM\cdot 10^{\EE}\quad [S=\S]\, \bigr) \] \endgroup } @@ -66,7 +64,7 @@ Hier evaluiere ich logarithmen. % log(6.241e-7)=\pgfmathlog{6.241}\pgfmathadd{\pgfmathresult}{-16.11809}\pgfmathresult\par %-------------------------------------------------- -Referenz: +\section{logarithms, compared with PGF arithmetics} \vgl{0.1}{-2.30259} \vgl{0.12}{-2.12026} @@ -123,7 +121,7 @@ Referenz: \vgl{9217}{9.12880488399366}% -Umwandlung nach float: +\section{Conversion to normalised floating point numbers basis 10} \normalize{123.41251}% \normalize{123412.51}% \normalize{12341251.0}% @@ -148,9 +146,12 @@ Umwandlung nach float: \normalize{3261.01452e-06}% \normalize{0.000326101452e-06}% -\message{SONDERFALL 0}% +\message{SPECIAL CASE 0}% \normalize{0} \normalize{-0} +\normalize{-0.000} +\normalize{+0.000} +\normalize{+0} \normalize{-1} \normalize{1.0e1} \tracingmacros=2\tracingcommands=2 @@ -159,7 +160,7 @@ Umwandlung nach float: \normalize{1141} \normalize{-53e-5} -\section{Test fuer prettyprinter} +\section{Test for prettyprinter} \message{PRETTY PRINTING} \pretty{1} \pretty{1.0} @@ -175,9 +176,158 @@ Umwandlung nach float: \pretty{-0.559} \pretty{-0.554} +\section{testing scimathlessthan} +\def\testsci#1#2{% + \sciparsesign{#1}\S\M\E + \sciparsesign{#2}\SS\MM\EE + \message{checking #1 <= #2; [\S] \M * 10^\E <= [\SS] \MM * 10^\EE}% + \scimathlessthan\S\M\E\and\SS\MM\EE + \ifscimathlessthan + \def\result{<}% + \else + \def\result{\ge}% + \fi + \[ \text{scimathlessthan: } \bigl( [\S]\, \M \cdot 10^{\E} \bigr)\; = #1 \result #2\; \bigl( = [\SS]\, \MM \cdot 10^{\EE} \big). \] +}% -\bibliographystyle{gerabbrv} %gerapali} %gerabbrv} %gerunsrt.bst} %gerabbrv}% gerplain} -% \bibliography{literatur.bib} -\end{document} +\testsci{4}{5} +\testsci{0}{2} +\testsci{91751123}{241924} +\testsci{-1}{-1} +\testsci{-1231}{0} +\testsci{10}{-5} +\testsci{0}{0} +\testsci{-0}{-0} +\testsci{0}{14} +\testsci{114812}{-123124123} +\testsci{114812}{1241231451} +\testsci{-141285}{29} +\testsci{-141285}{0} +\testsci{-141285}{-50} +\testsci{-141285}{-12498149012} +\section{Sci to fixed test} +\def\testscitofixed#1{% + \sciparsesign{#1}\S\M\E +%\tracingmacros=2\tracingcommands=2 + \message{converting #1 = [\S] \M * 10^\E\ to fixed point}% + \scitofixed\S\M\E\result + \message{-> \result}% +%\tracingmacros=0\tracingcommands=0 + \[ \bigl( [\S]\, \M \cdot 10^{\E} \bigr)\; = #1 \mapsto \result \] +}% +\testscitofixed{0} +\testscitofixed{5} +\testscitofixed{5.520241} +\testscitofixed{124.10241} +\testscitofixed{-121.248} +\testscitofixed{-12e-5} +\testscitofixed{412e3} +\testscitofixed{0.0001} +\testscitofixed{0.0} +\testscitofixed{-0.012125} +\testscitofixed{1.2e-1} +\testscitofixed{1.2e-2} +\testscitofixed{1.2e4} +\testscitofixed{1.2345e4} +\testscitofixed{1.234567e4} +\testscitofixed{1.51234e0} +\testscitofixed{15} +\testscitofixed{-20} +\section{Testing scimathmax and scimathmin} +\def\testscimathminmax#1#2{% + \sciparsesign{#1}\S\M\E + \sciparsesign{#2}\SS\MM\EE +%\tracingmacros=2\tracingcommands=2 + \message{computing min/max #1 and #2}% + \scimathmin\S\M\E\and\SS\MM\EE\to\SSS\MMM\EEE + \scitofixed\SSS\MMM\EEE\result + \[ \min\{#1,#2\} = \min\{ [\S]\, \M \cdot 10^{\E}, [\SS]\, \MM\cdot 10^{\EE}\} \; = [\SSS]\; \MMM\cdot10^{\EEE} = \result \] + % + \scimathmax\S\M\E\and\SS\MM\EE\to\SSS\MMM\EEE + \scitofixed\SSS\MMM\EEE\result + \[ \max\{#1,#2\} = \max\{ [\S]\, \M \cdot 10^{\E}, [\SS]\, \MM\cdot 10^{\EE}\} \; = [\SSS]\; \MMM\cdot10^{\EEE} = \result \] +}% +\testscimathminmax{42}{56} +\testscimathminmax{-4122}{1256} +\testscimathminmax{1e12}{5.235412e24} +\testscimathminmax{-12}{-145} + +\section{Testing scimathshift} +\def\testscimathshift#1#2{% + \sciparsesign{#1}\S\M\E + \message{computing mathshift #1 by #2}% + \let\SS=\S\let\MM=\M\let\EE=\E + \scimathshift\S\M\E{#2}% + \scitofixed\S\M\E\result + \[ #1 \cdot 10^{#2} = [\SS]\, \MM \cdot 10^{\EE} \cdot 10^{#2} = [\S]\, \M \cdot 10^{\E} = \result \] +}% +\testscimathshift{4}{1} +\testscimathshift{4}{2} +\testscimathshift{4}{-1} +\testscimathshift{4}{-2} +\testscimathshift{0}{-2} +\testscimathshift{1.1415130}{-2} +\testscimathshift{1.1415130}{5} + +\section{Testing name floating point data structure} +\let\SS=\empty +\let\MM=\empty +\let\EE=\empty +\def\testsciDS#1#2{% + \sciparsesign{#1}\S\M\E + \message{assigning #1=(\S,\M,\E) to single-name-macro ... }% + \scisetcomponents{#2}\S\M\E + \scigetcomponents{#2}\SS\MM\EE + \message{result: (\SS,\MM,\EE)}% + \edef\expandedtest{{\noexpand #2}{\S}{\M}{\E}}% + \message{now with raw-numbers to single-name-macro ... }% + \expandafter\scisetcomponents\expandedtest + \scigetcomponents{#2}\SSS\MMM\EEE + \message{result: (\SSS,\MMM,\EEE)}% + \scitofixed\SS\MM\EE\result + \scitofixed\SSS\MMM\EEE\resultX + \[ #1 = [\S]\, \M \cdot 10^{\E}\text{ re-extracted }\to[\SS]\, \MM \cdot 10^{\EE} = \result\; [ \text{again: }\resultX ] \] +}% +\testsciDS{141.241}\test +\testsciDS{141.241}{test} +\testsciDS{141.241}{341} +\def\test{eins zwei drei} +\testsciDS{141.241}\test + + +\scitofixed{1}{1.0}{2}\result\result + +\section{Testing fixedpointround} +\def\testfpround#1#2{% +\tracingmacros=2\tracingcommands=2 + \message{computing fixedpointround(#1):}% + \fixedpointround#1\prec#2\to\result + \message{fixedpointround(#1) -> \result}% + \[ \text{rnd }#1 \text{ to }#2 \to \result \] +\tracingmacros=0\tracingcommands=0 +}% +\testfpround{1.0000}{2} +\testfpround{-1.0000}{2} +\testfpround{+1.0000}{2} +\testfpround{1.003}{2} +\testfpround{-1.003}{2} +\testfpround{1.123}{2} +\testfpround{1.12300012}{5} +\testfpround{9}{2} +\testfpround{1341}{2} +\testfpround{0.996}{2} +\testfpround{19999.9996}{2} +\testfpround{-19999.9996}{2} +\testfpround{+19999.9996}{2} +\testfpround{9999.9996}{2} +\testfpround{0.0004982}{3} +\testfpround{0.0004982}{4} +\testfpround{0.0004982}{5} +\testfpround{0.0004982}{6} +\testfpround{0.0004982}{7} +\testfpround{0.0004982}{8} +\testfpround{0.0004982}{9} + +\end{document} diff --git a/Master/texmf-dist/doc/latex/pgfplots/pgfplots.bib b/Master/texmf-dist/doc/latex/pgfplots/pgfplots.bib new file mode 100644 index 00000000000..4eb003d9fe0 --- /dev/null +++ b/Master/texmf-dist/doc/latex/pgfplots/pgfplots.bib @@ -0,0 +1,9 @@ + +@misc{tikz, + author = {Till Tantau}, + title = {{\Tikz\ and \PGF\ manual}}, + howpublished = {\url{http://tug.ctan.org/cgi-bin/ctanPackageInformation.py?id=pgf}}, + note = {v. $\ge$ 1.18} +} + + diff --git a/Master/texmf-dist/doc/latex/pgfplots/pgfplots.examples.tex b/Master/texmf-dist/doc/latex/pgfplots/pgfplots.examples.tex new file mode 100644 index 00000000000..fb3e8706368 --- /dev/null +++ b/Master/texmf-dist/doc/latex/pgfplots/pgfplots.examples.tex @@ -0,0 +1,899 @@ +% main=manual.tex + + +\section{More examples} +This section contains a catalogue of different \PGFPlots\ features by example. +\label{sec:examples}% +\begingroup +\subsection{Legend position and appearance} +\subsubsection{Legend in the lower left corner} +\begin{lstlisting} +\tikzstyle{every axis legend}+= + [at={(0.03,0.03)},anchor=south west]% +\begin{tikzpicture} + \begin{loglogaxis}[ + xlabel={\textsc{Dof}}, + ylabel={$L_2$ Error} + ] + \addplot plot coordinates { + (5, 8.312e-02) + (17, 2.547e-02) + (49, 7.407e-03) + (129, 2.102e-03) + (321, 5.874e-04) + (769, 1.623e-04) + (1793, 4.442e-05) + (4097, 1.207e-05) + (9217, 3.261e-06) + }; + + .... + + \legend{$d=2$\\$d=3$\\$d=4$\\$d=5$\\$d=6$\\} + \end{loglogaxis} +\end{tikzpicture} +\end{lstlisting} +\def\plots{% + \addplot plot coordinates { + (5, 8.312e-02) + (17, 2.547e-02) + (49, 7.407e-03) + (129, 2.102e-03) + (321, 5.874e-04) + (769, 1.623e-04) + (1793, 4.442e-05) + (4097, 1.207e-05) + (9217, 3.261e-06) + }; + + \addplot plot coordinates { + (7, 8.472e-02) + (31, 3.044e-02) + (111, 1.022e-02) + (351, 3.303e-03) + (1023, 1.039e-03) + (2815, 3.196e-04) + (7423, 9.658e-05) + (18943, 2.873e-05) + (47103, 8.437e-06) + }; + + \addplot plot coordinates { + (9, 7.881e-02) + (49, 3.243e-02) + (209, 1.232e-02) + (769, 4.454e-03) + (2561, 1.551e-03) + (7937, 5.236e-04) + (23297, 1.723e-04) + (65537, 5.545e-05) + (178177, 1.751e-05) + }; + + \addplot plot coordinates { + (11, 6.887e-02) + (71, 3.177e-02) + (351, 1.341e-02) + (1471, 5.334e-03) + (5503, 2.027e-03) + (18943, 7.415e-04) + (61183, 2.628e-04) + (187903, 9.063e-05) + (553983, 3.053e-05) + }; + + \addplot plot coordinates { + (13, 5.755e-02) + (97, 2.925e-02) + (545, 1.351e-02) + (2561, 5.842e-03) + (10625, 2.397e-03) + (40193, 9.414e-04) + (141569, 3.564e-04) + (471041, 1.308e-04) + (1496065, 4.670e-05) + }; + \legend{$d=2$\\$d=3$\\$d=4$\\$d=5$\\$d=6$\\} +}% +{% +\tikzstyle{every axis legend}+= + [at={(0.03,0.03)},anchor=south west]% +\begin{center} +\begin{tikzpicture} + \begin{loglogaxis}[ + xlabel={\textsc{Dof}}, + ylabel={$L_2$ Error} + ] + \plots + \end{loglogaxis} +\end{tikzpicture} +\end{center} +} + +\subsubsection{Horizontal Legends} +\begin{lstlisting} +\tikzstyle{every axis legend}+= + [at={(0.5,0.98)},anchor=north]% +\begin{tikzpicture} + \begin{loglogaxis}[ + legend columns=2, + xlabel={\textsc{Dof}}, + ylabel={$L_2$ Error} + ] + \addplot plot coordinates { + (5, 8.312e-02) + (17, 2.547e-02) + (49, 7.407e-03) + (129, 2.102e-03) + (321, 5.874e-04) + (769, 1.623e-04) + (1793, 4.442e-05) + (4097, 1.207e-05) + (9217, 3.261e-06) + }; + + .... + + \legend{$d=2$\\$d=3$\\$d=4$\\$d=5$\\$d=6$\\} + \end{loglogaxis} +\end{tikzpicture} +\end{lstlisting} +{% +\tikzstyle{every axis legend}+= + [at={(0.5,0.98)},anchor=north]% +\begin{center} +\begin{tikzpicture} + \begin{loglogaxis}[ + legend columns=2, + xlabel={\textsc{Dof}}, + ylabel={$L_2$ Error} + ] + \plots + \end{loglogaxis} +\end{tikzpicture} +\end{center} +} + +\subsubsection{Horizontal Legends (2)} +\begin{lstlisting} +\tikzstyle{every axis legend}+= + [at={(0.5,-0.2)},anchor=north]% +\begin{tikzpicture} + \begin{loglogaxis}[ + legend columns=-1, + xlabel={\textsc{Dof}}, + ylabel={$L_2$ Error} + ] + \addplot plot coordinates { + (5, 8.312e-02) + (17, 2.547e-02) + (49, 7.407e-03) + (129, 2.102e-03) + (321, 5.874e-04) + (769, 1.623e-04) + (1793, 4.442e-05) + (4097, 1.207e-05) + (9217, 3.261e-06) + }; + + .... + + \legend{$d=2$\\$d=3$\\$d=4$\\$d=5$\\$d=6$\\} + \end{loglogaxis} +\end{tikzpicture} +\end{lstlisting} +{% +\tikzstyle{every axis legend}+= + [at={(0.5,-0.2)},anchor=north]% +\begin{center} +\begin{tikzpicture} + \begin{loglogaxis}[ + legend columns=-1, + xlabel={\textsc{Dof}}, + ylabel={$L_2$ Error} + ] + \plots + \end{loglogaxis} +\end{tikzpicture} +\end{center} +} + +\subsubsection{Modifying legend spacing} +\label{sec:legendexamples:cols}% +\begin{lstlisting} +\tikzstyle{every axis legend}+= + [at={(0.5,1.02)},anchor=south,inner sep=0pt]% +\begin{tikzpicture} + \begin{loglogaxis}[ + legend columns=-1, + xlabel={\textsc{Dof}}, + ylabel={$L_2$ Error} + ] + \addplot plot coordinates { + (5, 8.312e-02) + (17, 2.547e-02) + (49, 7.407e-03) + (129, 2.102e-03) + (321, 5.874e-04) + (769, 1.623e-04) + (1793, 4.442e-05) + (4097, 1.207e-05) + (9217, 3.261e-06) + }; + + .... + + \legend{$d=2$\\$d=3$\\$d=4$\\$d=5$\\$d=6$\\} + \end{loglogaxis} +\end{tikzpicture} +\end{lstlisting} +{% +\tikzstyle{every axis legend}+= + [at={(0.5,0.98)},anchor=north,inner sep=0pt]% +\begin{center} +\begin{tikzpicture} + \begin{loglogaxis}[ + legend columns=-1, + xlabel={\textsc{Dof}}, + ylabel={$L_2$ Error} + ] + \plots + \end{loglogaxis} +\end{tikzpicture} +\end{center} +} + +\subsubsection{Modifying legend's small plots} +\label{sec:legendexamples:plotpos}% +\begin{lstlisting} +\begin{tikzpicture} + \begin{loglogaxis}[ + legend plot pos=right, + xlabel={\textsc{Dof}}, + ylabel={$L_2$ Error} + ] + \addplot plot coordinates { + (5, 8.312e-02) + (17, 2.547e-02) + (49, 7.407e-03) + (129, 2.102e-03) + (321, 5.874e-04) + (769, 1.623e-04) + (1793, 4.442e-05) + (4097, 1.207e-05) + (9217, 3.261e-06) + }; + + .... + + \legend{$d=2$\\$d=3$\\$d=4$\\$d=5$\\$d=6$\\} + \end{loglogaxis} +\end{tikzpicture} +\end{lstlisting} +{% +\begin{center} +\begin{tikzpicture} + \begin{loglogaxis}[ + legend plot pos=right, + xlabel={\textsc{Dof}}, + ylabel={$L_2$ Error} + ] + \plots + \end{loglogaxis} +\end{tikzpicture} +\end{center} +} + +\subsection{Font size and line width} +\begin{lstlisting} +\tikzstyle{every axis legend}+=% + [at={(0.03,0.03)},anchor=south west]% +\tikzstyle{every tick}+=[line width=0.6pt]% +\begin{tikzpicture}[font=\large,line width=1pt] + \begin{loglogaxis}[ + xlabel={\textsc{Dof}}, + ylabel={$L_2$ Error} + ] + \addplot .... + ... + \end{loglogaxis} +\end{tikzpicture} +\end{lstlisting} + +{% +\tikzstyle{every axis legend}+= + [at={(0.03,0.03)},anchor=south west]% +\tikzstyle{every tick}+=[line width=0.6pt] +\begin{center} +\begin{tikzpicture}[font=\large,line width=1pt] + \begin{loglogaxis}[ + xlabel={\textsc{Dof}}, + ylabel={$L_2$ Error} + ] + \plots + \end{loglogaxis} +\end{tikzpicture} +\end{center} +}% + +\subsection{Changing line specifications} +\subsubsection{Using another, predefined list} +{% +\begin{lstlisting} +\listcopy\blackwhiteplotspeclist\to\autoplotspeclist% +\begin{tikzpicture} + \begin{loglogaxis}[ + xlabel={\textsc{Dof}}, + ylabel={$L_2$ Error} + ] + ... + \end{loglogaxis} +\end{tikzpicture} +\end{lstlisting} + +\listcopy\blackwhiteplotspeclist\to\autoplotspeclist% +\begin{center} +\begin{tikzpicture} + \begin{loglogaxis}[ + xlabel={\textsc{Dof}}, + ylabel={$L_2$ Error} + ] + \plots + \end{loglogaxis} +\end{tikzpicture} +\end{center} + +\subsubsection{Defining new lists} +\begin{lstlisting} +% will cycle through these three elements: +\listnew{\autoplotspeclist}{% + red,dotted,mark=-,mark options={solid}\\% + black,dashed,mark=pentagon,mark options={solid}\\% + mark options={fill=blue!40},mark=diamond*,blue\\% +}% +\tikzstyle{every axis legend}+=% + [at={(1.03,1)},anchor=north west]% +\begin{tikzpicture} + \begin{loglogaxis}[ + xlabel={\textsc{Dof}}, + ylabel={$L_2$ Error} + ] + ... + \end{loglogaxis} +\end{tikzpicture} +\end{lstlisting} + +\listnew{\autoplotspeclist}{% + red,dotted,mark=-,mark options={solid}\\% + black,dashed,mark=pentagon,mark options={solid}\\% + mark options={fill=blue!40},mark=diamond*,blue\\% +}% +\tikzstyle{every axis legend}+=% + [at={(1.03,1)},anchor=north west]% +\begin{center} +\begin{tikzpicture} + \begin{loglogaxis}[ + xlabel={\textsc{Dof}}, + ylabel={$L_2$ Error} + ] + \plots + \end{loglogaxis} +\end{tikzpicture} +\end{center} +}% + +\subsection{Changing the ticks} +\subsubsection{Placing ticks at $10^i$} +\begin{lstlisting} +\begin{tikzpicture} + \begin{loglogaxis}[ + xtickten={0,2,3,4,6,...,10},% place tickmarks at 10^0, 10^2,... + ytickten={-6,-4,...,2}, + xlabel={\textsc{Dof}}, + ylabel={$L_2$ Error} + ] + .... + \end{loglogaxis} +\end{tikzpicture} +\end{lstlisting} + +\begin{center} +\begin{tikzpicture} + \begin{loglogaxis}[ + xtickten={0,2,3,4,6,...,10}, + ytickten={-6,-4,...,2}, + xlabel={\textsc{Dof}}, + ylabel={$L_2$ Error} + ] + \plots + \end{loglogaxis} +\end{tikzpicture} +\end{center} + +\subsubsection{Placing ticks anywhere} +\begin{lstlisting} +\begin{tikzpicture} + \begin{loglogaxis}[ + xtick={12,9897,1468864} + xlabel={\textsc{Dof}}, + ylabel={$L_2$ Error} + ] + .... + \end{loglogaxis} +\end{tikzpicture} +\end{lstlisting} + +\begin{center} +\begin{tikzpicture} + \begin{loglogaxis}[ + xtick={12,9897,1468864},%2.5,9.2,14.2}, + xlabel={\textsc{Dof}}, + ylabel={$L_2$ Error} + ] + \plots + \end{loglogaxis} +\end{tikzpicture} +\end{center} + +\subsection{Annotating plots} +\label{sec:annot:plot}% +\subsubsection{Example: Placing Data Cursors} +\begin{lstlisting} +\tikzstyle{every pin}=[fill=white,draw=black,font=\footnotesize] +\begin{tikzpicture} + \begin{loglogaxis}[ + xlabel={\textsc{Dof}}, + ylabel={$L_2$ Error} + ] + + .... + + \addplot plot coordinates { + (11, 6.887e-02) + (71, 3.177e-02) + (351, 1.341e-02) + (1471, 5.334e-03) + (5503, 2.027e-03) + (18943, 7.415e-04) + (61183, 2.628e-04) + (187903, 9.063e-05) + (553983, 3.053e-05) + }; + ... + + \axispath\node[coordinate,pin=above:Bad!] + at (axis cs:5503,2.027e-03) {}; + \axispath\node[coordinate,pin=above right:Good!] + at (axis cs:187903,9.063e-05) {}; + \end{loglogaxis} +\end{tikzpicture} +\end{lstlisting} +\begin{center} +{ +\tikzstyle{every pin}=[fill=white,draw=black,font=\footnotesize] +\begin{tikzpicture} + \begin{loglogaxis}[ + xlabel={\textsc{Dof}}, + ylabel={$L_2$ Error} + ] + \plots + + \axispath\node[coordinate,pin=above:Bad!] + at (axis cs:5503,2.027e-03) {}; + \axispath\node[coordinate,pin=above right:Good!] + at (axis cs:187903,9.063e-05) {}; + \end{loglogaxis} +\end{tikzpicture} +} +\end{center} + +One remark: the \lstinline!\axispath! prefix is necessary because neither axis nor plots will be drawn until the $x$- and $y$-limits have been determined. All drawing commands are postponed until \lstinline!\end{axis}! (unless you explicitly provide the options \lstinline!xmin!, \lstinline!xmax!, \lstinline!ymin! and \lstinline!ymax!). + +\subsubsection{Example: Slopes of line segments} +\begin{lstlisting} +\begin{tikzpicture} + \begin{loglogaxis}[ + xlabel=\textsc{Dof}, + ylabel=$L_2$ Error + ] + \axispath\draw + (axis cs:1793,4.442e-05) + |- (axis cs:4097,1.207e-05) + node[near start,left] {$\frac{dy}{dx} = -1.58$}; + + \addplot plot coordinates { + (5, 8.312e-02) + (17, 2.547e-02) + (49, 7.407e-03) + (129, 2.102e-03) + (321, 5.874e-04) + (769, 1.623e-04) + (1793, 4.442e-05) + (4097, 1.207e-05) + (9217, 3.261e-06) + }; + ... + \end{loglogaxis} +\end{tikzpicture} +\end{lstlisting} +\begin{center} +\begin{tikzpicture} + \begin{loglogaxis}[ + xlabel=\textsc{Dof}, + ylabel=$L_2$ Error + ] + \axispath\draw + (axis cs:1793,4.442e-05) + |- (axis cs:4097,1.207e-05) + node[near start,left] {$\frac{dy}{dx} = -1.58$}; + \plots + + \end{loglogaxis} +\end{tikzpicture} +\end{center} + +\subsection{Vertical alignment with the \texttt{baseline} option} +\label{sec:align}% +The default axis anchor is \texttt{south west}, which means that the picture coordinate $(0,0)$ is the lower left corner of the axis. As a consequence, the \Tikz\ option ``\texttt{baseline}'' allows vertical alignment of adjacent plots, see figure~\ref{fig:baseline:example} for an example. +\begin{figure} + \centering + \noindent + \lstinline!\begin{tikzpicture}...\end{tikzpicture}!:\par + \noindent + \begin{tikzpicture}% + \begin{axis}[width=0.4\linewidth,xlabel=A normal sized $x$ label] + \addplot[smooth,blue,mark=*] plot coordinates { + (-1, 1) + (-0.75, 0.5625) + (-0.5, 0.25) + (-0.25, 0.0625) + (0, 0) + (0.25, 0.0625) + (0.5, 0.25) + (0.75, 0.5625) + (1, 1) + }; + \end{axis} + \end{tikzpicture}% + \hspace{0.15cm} + \begin{tikzpicture}% + \begin{axis}[width=0.4\linewidth,xlabel={xlabel: $\displaystyle \sum_{i=0}^N n_i $ }] + \addplot[smooth,blue,mark=*] plot coordinates { + (-1, 1) + (-0.75, 0.5625) + (-0.5, 0.25) + (-0.25, 0.0625) + (0, 0) + (0.25, 0.0625) + (0.5, 0.25) + (0.75, 0.5625) + (1, 1) + }; + \end{axis} + \end{tikzpicture} + \hfill + \vskip 0.3cm% + \noindent + \lstinline!\begin{tikzpicture}[baseline]...\end{tikzpicture}!:\par + \noindent + \begin{tikzpicture}[baseline]% + \begin{axis}[width=0.4\linewidth,xlabel=A normal sized $x$ label] + \addplot[smooth,blue,mark=*] plot coordinates { + (-1, 1) + (-0.75, 0.5625) + (-0.5, 0.25) + (-0.25, 0.0625) + (0, 0) + (0.25, 0.0625) + (0.5, 0.25) + (0.75, 0.5625) + (1, 1) + }; + \end{axis} + \end{tikzpicture}% + \hspace{0.15cm} + \begin{tikzpicture}[baseline]% + \begin{axis}[width=0.4\linewidth,xlabel={xlabel: $\displaystyle \sum_{i=0}^N n_i $ }] + \addplot[smooth,blue,mark=*] plot coordinates { + (-1, 1) + (-0.75, 0.5625) + (-0.5, 0.25) + (-0.25, 0.0625) + (0, 0) + (0.25, 0.0625) + (0.5, 0.25) + (0.75, 0.5625) + (1, 1) + }; + \end{axis} + \end{tikzpicture} + \hfill + + \caption{An example of the \Tikz-``\texttt{baseline}'' option for vertical alignment. Top row: without ``\texttt{baseline}'', bottom row: with ``\texttt{baseline}''.} + \label{fig:baseline:example} +\end{figure} + +\subsection{Horizontal Alignment} +{% +\label{sec:halign}% +The last subsection used the \texttt{baseline}-option to allow \emph{vertical} alignment of plots. You can also apply \emph{horizontal} alignment, if you place multiple \texttt{axes} into a single \texttt{tikzpicture} and use the `\texttt{anchor}'-option: +\def\plots{ +\addplot[red,only marks,mark options={fill=red,scale=0.8},mark=*] plot coordinates { + (0.190600, 0.860900) + (0.194400, 0.908000) + (0.179900, 0.140700) + (0.212400, 0.294200) + (0.218900, 0.779100) + (0.201700, 0.388400) + (0.209100, 0.679900) + (0.196200, 0.470800) + (0.199900, 0.812700) + (0.199300, 0.850500) + (0.204300, 0.980300) + (0.209500, 0.953000) + (0.176200, 0.145300) + (0.207400, 0.351900) + (0.199000, 0.304500) + (0.202200, 0.256300) + (0.197000, 0.744300) + (0.181100, 0.998900) + (0.193400, 0.554900) + (0.218300, 0.506500) + (0.193800, 0.201000) + (0.208100, 0.531900) + (0.204100, 0.635500) + (0.217000, 0.069800) + (0.196100, 0.710300) + (0.198900, 0.440900) + (0.213000, 0.591900) + (0.206000, 0.030700) + (0.186000, 0.395900) + (0.206500, 0.082500) + (0.195500, 0.672000) + (0.221400, -0.013500) + (0.202300, 0.222300) + (0.193300, 0.959700) +}; +\addplot[black,only marks,mark options={fill=black,scale=0.8},mark=square*] plot coordinates { + (0.005300, 0.369500) + (-0.016100, 0.610000) + (-0.007400, 0.252100) + (0.002900, 0.699600) + (0.010900, 0.232000) + (-0.014100, 0.152400) + (-0.008000, -0.003100) + (-0.009100, 0.639900) + (-0.008700, 0.125800) + (-0.003700, 0.897400) + (0.009600, 0.432200) + (-0.009100, 0.770800) + (-0.030300, 0.974200) + (-0.004000, 0.675900) + (-0.002100, 0.089500) + (0.003300, 0.319700) + (0.006100, 0.863300) + (0.000600, 0.263700) + (-0.008900, 0.471500) + (0.016000, 0.505700) + (0.000000, 0.602600) + (-0.012300, 0.404400) + (-0.007000, 0.911900) + (0.006700, 0.747200) + (0.009000, 0.825300) + (-0.001500, 0.534400) + (-0.020600, 0.336300) + (0.012600, 0.039800) + (0.011600, 0.944100) + (-0.003600, 0.068000) + (-0.022400, 0.575400) + (-0.002900, 0.184500) +}; +\addplot[blue] plot coordinates { + (0.093947, -0.011481) + (0.101957, 0.494273) + (0.109967, 1.000027) +}; +}% +\begin{lstlisting} +\begin{tikzpicture} + \begin{axis}[width=4cm,scale only axis] + \addplot[red,only marks,mark options={fill=red,scale=0.8},mark=*] plot coordinates { + (0.190600, 0.860900) + (0.194400, 0.908000) + (0.179900, 0.140700) + (0.212400, 0.294200) + .... + (0.202300, 0.222300) + (0.193300, 0.959700) + }; + \addplot[black,only marks,mark options={fill=black,scale=0.8},mark=square*] plot coordinates { + (0.005300, 0.369500) + (-0.016100, 0.610000) + (-0.007400, 0.252100) + (0.002900, 0.699600) + (0.010900, 0.232000) + .... + (-0.003600, 0.068000) + (-0.022400, 0.575400) + (-0.002900, 0.184500) + }; + \addplot[blue] plot coordinates { + (0.093947, -0.011481) + (0.101957, 0.494273) + (0.109967, 1.000027) + }; + \end{axis} + + \draw[thick,gray,->] + (0,0) -- (0cm,-0.6cm) + node[black,midway,left] {0.6cm$\to$}; + + \begin{scope}[yshift=-0.6cm] + \begin{axis}[% + anchor=north west, + width=4cm,scale only axis, + height=0.8cm, + ytick=\empty + ] + + \addplot[red,only marks,mark options={fill=red,scale=0.8},mark=*] plot coordinates { + (0.968555, 0) + (0.030884, 0) + ... + (0.468750, 0) + (0, 0) + }; + \addplot[black,only marks,mark options={fill=black,scale=0.8},mark=square*] plot coordinates { + (0.367188, 0) + (0.312500, 0) + ... + (0.125000, 0) + (0.156250, 0) + }; + \end{axis} + \end{scope} +\end{tikzpicture} +\end{lstlisting} +The result of this alignment is shown in figure~\ref{fig:halign}. + +\begin{figure} +{\centering +\begin{minipage}[t]{4.4cm}% +\vspace{0pt}% +\centering +\begin{tikzpicture} + \begin{axis}[width=4cm,scale only axis] + \plots + \end{axis} +\end{tikzpicture} + +\begin{tikzpicture} + \begin{axis}[% + width=4cm,scale only axis, + height=0.8cm, + ytick=\empty + ] + + \addplot[red,only marks,mark options={fill=red,scale=0.8},mark=*] plot coordinates { + (0.968555, 0) + (0.030884, 0) + (0.750000, 0) + (0.468750, 0) + (1.000000, 0) + (0.030176, 0) + (0.750000, 0) + (0.468750, 0) + (0, 0) + }; + \addplot[black,only marks,mark options={fill=black,scale=0.8},mark=square*] plot coordinates { + (0.367188, 0) + (0.312500, 0) + (0.136719, 0) + (0.828125, 0) + (0.656250, 0) + (0.343750, 0) + (0.125000, 0) + (0.156250, 0) + }; + \end{axis} +\end{tikzpicture} +\end{minipage} +\hspace{1cm} +\begin{minipage}[t]{4.4cm}% +\vspace{0pt}% +\centering +\begin{tikzpicture} + \begin{axis}[width=4cm,scale only axis] + \plots + \end{axis} + + \draw[thick,gray,->] + (0,0) -- (0cm,-0.6cm) + node[black,midway,left] {0.6cm$\to$}; + + \begin{scope}[yshift=-0.6cm] + \begin{axis}[% + anchor=north west, + width=4cm,scale only axis, + height=0.8cm, + ytick=\empty + ] + + \addplot[red,only marks,mark options={fill=red,scale=0.8},mark=*] plot coordinates { + (0.968555, 0) + (0.030884, 0) + (0.750000, 0) + (0.468750, 0) + (1.000000, 0) + (0.030176, 0) + (0.750000, 0) + (0.468750, 0) + (0, 0) + }; + \addplot[black,only marks,mark options={fill=black,scale=0.8},mark=square*] plot coordinates { + (0.367188, 0) + (0.312500, 0) + (0.136719, 0) + (0.828125, 0) + (0.656250, 0) + (0.343750, 0) + (0.125000, 0) + (0.156250, 0) + }; + \end{axis} + \end{scope} +\end{tikzpicture} +\end{minipage} + +} + \caption{Demonstration of horizontal alignment with the `\texttt{anchor}' option. Left: two \texttt{tikzpicture}s placed above each other; right: one \texttt{tikzpicture} with horizontal alignment using the `\texttt{anchor}'-option. The source code is in the text.} + \label{fig:halign} +\end{figure} +} + +\subsection{Gridlines} +\label{sec:gridlines}% +\begin{lstlisting} +\begin{tikzpicture} + \begin{loglogaxis}[ + xlabel={\textsc{Dof}}, + ylabel={$L_2$ Error}, + grid=major + ] + ... + \end{loglogaxis} +\end{tikzpicture} + +\begin{tikzpicture} + \begin{loglogaxis}[ + xlabel={\textsc{Dof}}, + ylabel={$L_2$ Error}, + grid=both + ] + ... + \end{loglogaxis} +\end{tikzpicture} +\end{lstlisting} +\begin{center} +\begin{tikzpicture} + \begin{loglogaxis}[ + xlabel={\textsc{Dof}}, + ylabel={$L_2$ Error}, + grid=major + ] + \plots + \end{loglogaxis} +\end{tikzpicture} +\hfill +\begin{tikzpicture} + \begin{loglogaxis}[ + xlabel={\textsc{Dof}}, + ylabel={$L_2$ Error}, + grid=both + ] + \plots + \end{loglogaxis} +\end{tikzpicture} +\end{center} + +\endgroup diff --git a/Master/texmf-dist/doc/latex/pgfplots/pgfplots.importexport.tex b/Master/texmf-dist/doc/latex/pgfplots/pgfplots.importexport.tex new file mode 100644 index 00000000000..e5a2a81b047 --- /dev/null +++ b/Master/texmf-dist/doc/latex/pgfplots/pgfplots.importexport.tex @@ -0,0 +1,44 @@ +\section{Import/Export from other formats} +There are two (experimental) scripts which may be used to generate \LaTeX-code with plot coordinates or to simplify format conversion. They are not necessary to run \PGFPlots. + +\subsection{pgf2pdf.sh} +This is a unix \texttt{bash}--script which attempts to simplify the workflow of creating PDF-Dokuments for single plots. + +\PGF\ provides a method to externalize graphics, meaning to write specific portions of the \LaTeX-file to separate PDF/EPS-files. The script pgf2pdf.sh assumes that portions which need externalization are in files `\texttt{.pgf}' and should be converted to PDF/EPS. Two ways are supported: +\begin{enumerate} + \item Run \LaTeX\ on the complete document and write only the portion of interest, + \item Run \LaTeX\ \emph{only} on the `\texttt{.pgf}'-file. This mode requires a \TeX-file which defines all required commands and includes all required packages (a header). +\end{enumerate} + +If you are interested in externalized graphics, you should read\cite[Section~54]{tikz}. You may also type +\begin{lstlisting} + pgf2pdf.sh --help. +\end{lstlisting} +This script is experimental. + +\subsection{matlab2pgfplots.m} +This is a matlab (tm) script which attempts to convert a matlab figure to \PGFPlots. + +The idea is to +\begin{itemize} + \item use a complete matlab figure as input, + \item acquire axis labels, axis scaling (log or normal) and legend entries, + \item acquire all plot coordinates +\end{itemize} +and write an equivalent \texttt{.pgf} file which typesets the plot with \PGFPlots. + +The indention is \emph{not} to simulate matlab. It is a first step for a conversion. Type +\begin{lstlisting} +> help matlab2pgfplots +\end{lstlisting} +on your matlab prompt for more information about its features and its limitations. + +This script is experimental. + +\subsection{matlab2pgfplots.sh} +A \texttt{bash}-script which simply starts matlab and runs +\begin{lstlisting} + f=hgload( 'somefigure.fig' ); + matlab2pgfplots( 'outputfile.pgf', 'fig', f ); +\end{lstlisting} +See matlab2pgfplots.m above. diff --git a/Master/texmf-dist/doc/latex/pgfplots/pgfplots.install.tex b/Master/texmf-dist/doc/latex/pgfplots/pgfplots.install.tex new file mode 100644 index 00000000000..0761f12be9c --- /dev/null +++ b/Master/texmf-dist/doc/latex/pgfplots/pgfplots.install.tex @@ -0,0 +1,103 @@ +% main=manual.tex + +\section{Installation} +\subsection{Licensing} +This program is free software: you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation, either version 3 of the License, or +(at your option) any later version. + +This program is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +GNU General Public License for more details. + +A copy of the GNU General Public License can be found in the package file +\begin{lstlisting} +doc/latex/pgfplots/gpl-3.0.txt +\end{lstlisting} +You may also visit~\url{http://www.gnu.org/licenses}. + +\subsection{Prerequisites} +\PGFPlots\ requires \PGF\ version $\ge 1.18$ and package \texttt{xkeyval}. + +\subsection{Files in the \PGFPlots-Bundle} +The \PGFPlots\ package consists of the files +\begin{lstlisting} +latex/pgfplots/pgfplots.sty +generic/pgfmathlog/pgfmathlog.sty +generic/liststructure/liststructure.sty +generic/sciformat/sciformat.sty +generic/pgfplotshelpers/pgfplotshelpers.sty +doc/latex/pgfplots/pgfplots.bib +doc/latex/pgfplots/pgfplots.*tex +doc/latex/pgfplots/pgfplots.pdf +doc/latex/pgfplots/todo.txt +doc/latex/pgfplots/changelog.txt +test/liststructuretest/liststructuretest.tex +test/pgfplotstest/pgfplotstest.tex +test/pgfmathlogtest/pgfmathlogtest.tex +ext_scripts/pgf2pdf.sh +ext_scripts/matlab2pgfplots.m +ext_scripts/matlab2pgfplots.sh +\end{lstlisting} +If is used with +\begin{lstlisting} +\usepackage{pgfplots} +\end{lstlisting} +in your preamble. There are several ways how to teach \LaTeX\ where to find the files. Choose the option which fits your needs best. + +\subsection{Assigning the \texttt{TEXINPUTS} Variable} +You can simply install \PGFPlots\ anywhere on your disc, for example into +\begin{lstlisting} +/foo/bar/pgfplots. +\end{lstlisting} +Then, you set the \texttt{TEXINPUTS} variable to +\begin{lstlisting} +TEXINPUTS=/foo/bar/pgfplots//: +\end{lstlisting} +The trailing~`\texttt{:}' tells \LaTeX\ to check the default search paths after \lstinline!/foo/bar/pgfplots!. The double slash~`\texttt{//}' tells \LaTeX\ to search all subdirectories. + +If the \texttt{TEXINPUTS} variable already contains something, you can append the line above to the existing \texttt{TEXINPUTS} content. + +Please refer to your operating systems manual for how to set environment variables. + +\subsection{Installation into a local \texttt{texmf}-directory} +Copy \PGFPlots\ to a local \texttt{texmf} directory like \lstinline!~/texmf! in your home directory. Then, install \PGFPlots\ into the subdirectory \lstinline!texmf/tex/generic/pgfplots! and run \lstinline!texhash!. + +\subsection{Installation into a local TDS compliant \texttt{texmf}-directory} +A TDS conforming installation will use the same base directory as in the last section, but it requires to merge the contents of `\texttt{latex}' into `\texttt{texmf/tex/latex}'; the contents of `\texttt{generic}' to `\texttt{texmf/tex/generic}' and the contents of `\texttt{doc}' to `\texttt{texmf/doc}'. + +Do not forget to run \lstinline!texhash!. + +\subsection{If everything else fails...} +If \LaTeX\ still doesn't find your files, you can copy all \lstinline!.sty!-files into your current project's working directory. + +Please refer to \url{http://www.ctan.org/installationadvice/} for more information about package installation. + + + +\subsection{Restrictions for DVI-Viewers and \texttt{dvipdfm}} +\PGF\ is compatible with +\begin{itemize} + \item \lstinline!latex!/\lstinline!dvips!, + \item \lstinline!latex!/\lstinline!dvipdfm!, + \item \lstinline!pdflatex!, + \item $\vdots$ +\end{itemize} +However, there are some restrictions: I don't know any DVI viewer which is capable of viewing the output of \PGF\ (and therefor \PGFPlots\ as well). After all, DVI has never been designed to draw something different than text and horizontal/vertical lines. You will need to view the postscript file or the pdf-file. + +Furthermore, \PGF\ needs to know a \emph{driver} so that the DVI file can be converted to the desired output. Depending on your system, you need the following options: +\begin{itemize} + \item \lstinline!latex!/\lstinline!dvips! does not need anything special because \lstinline!dvips! is the default driver if you invoke \lstinline!latex!. + \item \lstinline!pdflatex! will also work directly because \lstinline!pdflatex! will be detected automatically. + \item \lstinline!latex!/\lstinline!dvipdfm! requires to use +\begin{lstlisting} +\def\pgfsysdriver{pgfsys-dvipdfm.def} +%\def\pgfsysdriver{pgfsys-pdftex.def} +%\def\pgfsysdriver{pgfsys-dvips.def} +\usepackage{pgfplots}. +\end{lstlisting} + The uncommented commands could be used to set other drivers explictly. +\end{itemize} +Please read the corresponding sections in~\cite[Section 7.2.1 and 7.2.2]{tikz} if you have further questions. These sections also contain limitations of particular drivers. diff --git a/Master/texmf-dist/doc/latex/pgfplots/pgfplots.intro.tex b/Master/texmf-dist/doc/latex/pgfplots/pgfplots.intro.tex new file mode 100644 index 00000000000..0a1d34d2ccf --- /dev/null +++ b/Master/texmf-dist/doc/latex/pgfplots/pgfplots.intro.tex @@ -0,0 +1,673 @@ +% main=manual.tex + +\section{Drawing axes and plots} +\subsection{A first plot} +Plotting is done using \lstinline|\begin{axis} ... \addplot ...; \end{axis}|: + +\begin{figure} +\centering +\begin{tikzpicture} + \begin{axis}[ + xlabel=Cost, + ylabel=Error] + \addplot[color=red,mark=x] plot coordinates { + (2,-2.8559703) + (3,-3.5301677) + (4,-4.3050655) + (5,-5.1413136) + (6,-6.0322865) + (7,-6.9675052) + (8,-7.9377747) + (9,-9.9717663) + }; + \end{axis} +\end{tikzpicture} + +\caption{An example for a normal plot. The coordinates are specified using the \Tikz-syntax ``\texttt{plot coordinates}'', optional labels can be provided with the ``\texttt{xlabel}'' and ``\texttt{ylabel}'' arguments.} +\label{fig:firstplot} +\end{figure} + +\begin{lstlisting} +\begin{tikzpicture} + \begin{axis}[ + xlabel=Cost, + ylabel=Error] + \addplot[color=red,mark=x] plot coordinates { + (2,-2.8559703) + (3,-3.5301677) + (4,-4.3050655) + (5,-5.1413136) + (6,-6.0322865) + (7,-6.9675052) + (8,-7.9377747) + (9,-9.9717663) + }; + \end{axis} +\end{tikzpicture} +\end{lstlisting} +The outcome of this listing is shown in figure~\ref{fig:firstplot}. The \lstinline!plot coordinates! command is one of the \Tikz\ ways to create plots, see~\cite[Section~16]{tikz}. All other commands are used to create the axis. + +\subsection{Two plots in the same axis} +Figure~\ref{fig:twoplots} shows the result of placing multiple~\lstinline!\addplot!-commands into a single axis: +\begin{figure} +\centering +\begin{tikzpicture} + \begin{axis}[ + xlabel=Cost, + ylabel=Error] + \addplot[color=red,mark=x] plot coordinates { + (2,-2.8559703) + (3,-3.5301677) + (4,-4.3050655) + (5,-5.1413136) + (6,-6.0322865) + (7,-6.9675052) + (8,-7.9377747) + (9,-9.9717663) + }; + \addplot[color=blue,mark=*] plot coordinates { + (2,-2.83) + (3,-3.5167) + (4,-4.4050) + (5,-5.137) + (6,-6.4) + (7,-6.6750) + (8,-6.9377) + (9,-6.9717) + }; + \legend{Case 1\\Case 2\\} + \end{axis} +\end{tikzpicture} + +\caption{Two plots in the same axis. A legend can be generated using the \texttt{\textbackslash legend{}}-command.} +\label{fig:twoplots} +\end{figure} + +\begin{lstlisting} +\begin{tikzpicture} + \begin{axis}[ + xlabel=Cost, + ylabel=Error] + \addplot[color=red,mark=x] plot coordinates { + (2,-2.8559703) + (3,-3.5301677) + (4,-4.3050655) + (5,-5.1413136) + (6,-6.0322865) + (7,-6.9675052) + (8,-7.9377747) + (9,-9.9717663) + }; + \addplot[color=blue,mark=*] plot coordinates { + (2,-2.83) + (3,-3.5167) + (4,-4.4050) + (5,-5.137) + (6,-6.4) + (7,-6.6750) + (8,-6.9377) + (9,-6.9717) + }; + \legend{Case 1\\Case 2\\} + \end{axis} +\end{tikzpicture} +\end{lstlisting} + +\subsection{Logarithmic plots} +Logarithmic plots show $\log x$ versus $\log y$ (or just one logarithmic axis) as in figure~\ref{fig:firstloglog}. \PGFPlots\ always uses the natural logarithm, i.e. basis $e\approx2.718$. Now, the axis description also contains minor ticks and the labels are placed at $10^i$. +\begin{figure} +\centering + \begin{tikzpicture} + \begin{loglogaxis}[xlabel=Cost,ylabel=Gain] + \addplot[color=red,mark=x] plot coordinates { + (10,100) + (20,150) + (40,225) + (80,340) + (160,510) + (320,765) + (640,1150) + }; + \end{loglogaxis} + \end{tikzpicture} + +\caption{A double--logarithmic plot.} +\label{fig:firstloglog} +\end{figure} +\begin{lstlisting} +\begin{tikzpicture} +\begin{loglogaxis}[xlabel=Cost,ylabel=Gain] +\addplot[color=red,mark=x] plot coordinates { + (10,100) + (20,150) + (40,225) + (80,340) + (160,510) + (320,765) + (640,1150) +}; +\end{loglogaxis} +\end{tikzpicture} +\end{lstlisting} +A common application is to visualise scientific data. This is often provided in the format $1.42\cdot10^4$, usually written as 1.42e+04. An example is shown in the following listing and in figure~\ref{fig:example:sci:loglog}. +\begin{figure} +\centering +\begin{tikzpicture} + \begin{loglogaxis}[ + xlabel=Cost, + ylabel=Error] + \addplot[color=red,mark=x] plot coordinates { + (5, 8.31160034e-02) + (17, 2.54685628e-02) + (49, 7.40715288e-03) + (129, 2.10192154e-03) + (321, 5.87352989e-04) + (769, 1.62269942e-04) + (1793, 4.44248889e-05) + (4097, 1.20714122e-05) + (9217, 3.26101452e-06) + }; + + \addplot[color=blue,mark=*] plot coordinates { + (7, 8.47178381e-02) + (31, 3.04409349e-02) + (111, 1.02214539e-02) + (351, 3.30346265e-03) + (1023, 1.03886535e-03) + (2815, 3.19646457e-04) + (7423, 9.65789766e-05) + (18943, 2.87339125e-05) + (47103, 8.43749881e-06) + }; + \legend{Case 1\\Case 2\\} + \end{loglogaxis} +\end{tikzpicture} + +\caption{A double--logarithmic plot using scientific notation.} +\label{fig:example:sci:loglog} +\end{figure} + +\begin{lstlisting} +\begin{tikzpicture} + \begin{loglogaxis}[ + xlabel=Cost, + ylabel=Error] + \addplot[color=red,mark=x] plot coordinates { + (5, 8.31160034e-02) + (17, 2.54685628e-02) + (49, 7.40715288e-03) + (129, 2.10192154e-03) + (321, 5.87352989e-04) + (769, 1.62269942e-04) + (1793, 4.44248889e-05) + (4097, 1.20714122e-05) + (9217, 3.26101452e-06) + }; + + \addplot[color=blue,mark=*] plot coordinates { + (7, 8.47178381e-02) + (31, 3.04409349e-02) + (111, 1.02214539e-02) + (351, 3.30346265e-03) + (1023, 1.03886535e-03) + (2815, 3.19646457e-04) + (7423, 9.65789766e-05) + (18943, 2.87339125e-05) + (47103, 8.43749881e-06) + }; + \legend{Case 1\\Case 2\\} + \end{loglogaxis} +\end{tikzpicture} +\end{lstlisting} +Besided the environment ``\texttt{loglogaxis}'' you can use +\begin{itemize} + \item \lstinline!\begin{axis}...\end{axis}! for normal plots, + \item \lstinline!\begin{semilogxaxis}...\end{semilogxaxis}! for plots which have a normal~$y$ axis and a logarithmic~$x$ axis, + \item \lstinline!\begin{semilogyaxis}...\end{semilogyaxis}! the same with $x$~and~$y$ switched, + \item \lstinline!\begin{loglogaxis}...\end{loglogaxis}! for double--logarithmic plots. +\end{itemize} +You can also use +\begin{lstlisting} + \begin{axis}[xmode=normal,ymode=log] + ... + \end{axis} +\end{lstlisting} +which is the same as \lstinline!\begin{semilogyaxis}...\end{semilogyaxis}!. Example: +\begin{lstlisting} +\begin{tikzpicture} + \begin{semilogyaxis}[xlabel=Index,ylabel=Value] + \addplot[color=blue,mark=*] plot coordinates { + (1,8) + (2,16) + (3,32) + (4,64) + (5,128) + (6,256) + (7,512) + }; + \end{semilogyaxis} +\end{tikzpicture} +\end{lstlisting} +see figure~\ref{fig:semilogy}. +\begin{figure} +\centering +\begin{tikzpicture} + \begin{semilogyaxis}[xlabel=Index,ylabel=Value] + \addplot[color=blue,mark=*] plot coordinates { + (1,8) + (2,16) + (3,32) + (4,64) + (5,128) + (6,256) + (7,512) + }; + \end{semilogyaxis} +\end{tikzpicture} + +\caption{A semi--logarithmic plot.} +\label{fig:semilogy} +\end{figure} + +\subsection{Cycling line styles} +You can skip the style arguments for \lstinline!\addplot[...]! or \lstinline!\addplot[...]! to determine plot specifications from a predefined list: +\begin{figure} +\centering +\begin{tikzpicture} + \begin{loglogaxis}[ + xlabel={Degrees of freedom}, + ylabel={$L_2$ Error} + ] + \addplot plot coordinates { + (5, 8.312e-02) + (17, 2.547e-02) + (49, 7.407e-03) + (129, 2.102e-03) + (321, 5.874e-04) + (769, 1.623e-04) + (1793, 4.442e-05) + (4097, 1.207e-05) + (9217, 3.261e-06) + }; + + \addplot plot coordinates { + (7, 8.472e-02) + (31, 3.044e-02) + (111, 1.022e-02) + (351, 3.303e-03) + (1023, 1.039e-03) + (2815, 3.196e-04) + (7423, 9.658e-05) + (18943, 2.873e-05) + (47103, 8.437e-06) + }; + + \addplot plot coordinates { + (9, 7.881e-02) + (49, 3.243e-02) + (209, 1.232e-02) + (769, 4.454e-03) + (2561, 1.551e-03) + (7937, 5.236e-04) + (23297, 1.723e-04) + (65537, 5.545e-05) + (178177, 1.751e-05) + }; + + \addplot plot coordinates { + (11, 6.887e-02) + (71, 3.177e-02) + (351, 1.341e-02) + (1471, 5.334e-03) + (5503, 2.027e-03) + (18943, 7.415e-04) + (61183, 2.628e-04) + (187903, 9.063e-05) + (553983, 3.053e-05) + }; + + \addplot plot coordinates { + (13, 5.755e-02) + (97, 2.925e-02) + (545, 1.351e-02) + (2561, 5.842e-03) + (10625, 2.397e-03) + (40193, 9.414e-04) + (141569, 3.564e-04) + (471041, 1.308e-04) + (1496065, 4.670e-05) + }; + \legend{$d=2$\\$d=3$\\$d=4$\\$d=5$\\$d=6$\\} + \end{loglogaxis} +\end{tikzpicture} + +\caption{Predefined line/marker combinations.} +\label{fig:predefined:plotspec} +\end{figure} + +\begin{lstlisting} +\begin{tikzpicture} + \begin{loglogaxis}[ + xlabel={Degrees of freedom}, + ylabel={$L_2$ Error} + ] + \addplot plot coordinates { + (5, 8.312e-02) + (17, 2.547e-02) + (49, 7.407e-03) + (129, 2.102e-03) + (321, 5.874e-04) + (769, 1.623e-04) + (1793, 4.442e-05) + (4097, 1.207e-05) + (9217, 3.261e-06) + }; + + \addplot plot coordinates { + (7, 8.472e-02) + (31, 3.044e-02) + (111, 1.022e-02) + (351, 3.303e-03) + (1023, 1.039e-03) + (2815, 3.196e-04) + (7423, 9.658e-05) + (18943, 2.873e-05) + (47103, 8.437e-06) + }; + + \addplot plot coordinates { + (9, 7.881e-02) + (49, 3.243e-02) + (209, 1.232e-02) + (769, 4.454e-03) + (2561, 1.551e-03) + (7937, 5.236e-04) + (23297, 1.723e-04) + (65537, 5.545e-05) + (178177, 1.751e-05) + }; + + \addplot plot coordinates { + (11, 6.887e-02) + (71, 3.177e-02) + (351, 1.341e-02) + (1471, 5.334e-03) + (5503, 2.027e-03) + (18943, 7.415e-04) + (61183, 2.628e-04) + (187903, 9.063e-05) + (553983, 3.053e-05) + }; + + \addplot plot coordinates { + (13, 5.755e-02) + (97, 2.925e-02) + (545, 1.351e-02) + (2561, 5.842e-03) + (10625, 2.397e-03) + (40193, 9.414e-04) + (141569, 3.564e-04) + (471041, 1.308e-04) + (1496065, 4.670e-05) + }; + \legend{$d=2$\\$d=3$\\$d=4$\\$d=5$\\$d=6$\\} + \end{loglogaxis} +\end{tikzpicture} +\end{lstlisting} + +The result is shown in figure~\ref{fig:predefined:plotspec}. You can modify the list, see the reference below. + +\subsection{Scaling plots} +You can use any of the \Tikz\ options to modify the appearance. For example the effect of the ``\texttt{scale}'' transformation is shown in figures \ref{fig:scale1}~and~\ref{fig:scale2}. + +\begin{figure} +\begin{minipage}[c]{7.1cm}% +\begin{tikzpicture}[scale=0.8] + \begin{loglogaxis}[ + xlabel={Degrees of freedom}, + ylabel={$L_2$ Error} + ] + \addplot plot coordinates { + (5, 8.312e-02) + (17, 2.547e-02) + (49, 7.407e-03) + (129, 2.102e-03) + (321, 5.874e-04) + (769, 1.623e-04) + (1793, 4.442e-05) + (4097, 1.207e-05) + (9217, 3.261e-06) + }; + + \addplot plot coordinates { + (7, 8.472e-02) + (31, 3.044e-02) + (111, 1.022e-02) + (351, 3.303e-03) + (1023, 1.039e-03) + (2815, 3.196e-04) + (7423, 9.658e-05) + (18943, 2.873e-05) + (47103, 8.437e-06) + }; + + \addplot plot coordinates { + (9, 7.881e-02) + (49, 3.243e-02) + (209, 1.232e-02) + (769, 4.454e-03) + (2561, 1.551e-03) + (7937, 5.236e-04) + (23297, 1.723e-04) + (65537, 5.545e-05) + (178177, 1.751e-05) + }; + + \addplot plot coordinates { + (11, 6.887e-02) + (71, 3.177e-02) + (351, 1.341e-02) + (1471, 5.334e-03) + (5503, 2.027e-03) + (18943, 7.415e-04) + (61183, 2.628e-04) + (187903, 9.063e-05) + (553983, 3.053e-05) + }; + + \addplot plot coordinates { + (13, 5.755e-02) + (97, 2.925e-02) + (545, 1.351e-02) + (2561, 5.842e-03) + (10625, 2.397e-03) + (40193, 9.414e-04) + (141569, 3.564e-04) + (471041, 1.308e-04) + (1496065, 4.670e-05) + }; + \legend{$d=2$\\$d=3$\\$d=4$\\$d=5$\\$d=6$\\} + \end{loglogaxis} +\end{tikzpicture} +\end{minipage}% +\hfill +\begin{minipage}[c]{8cm}% +\begin{lstlisting} +\begin{tikzpicture}[scale=0.8] +\begin{loglogaxis} +... +\end{loglogaxis} +\end{tikzpicture} +\end{lstlisting} +\end{minipage} +\caption{An example of a scaled plot.} +\label{fig:scale1} +\end{figure} + +\begin{figure} +\centering +\begin{tikzpicture}[scale=1.3] + \begin{loglogaxis}[ + xlabel={Degrees of freedom}, + ylabel={$L_2$ Error} + ] + \addplot plot coordinates { + (5, 8.312e-02) + (17, 2.547e-02) + (49, 7.407e-03) + (129, 2.102e-03) + (321, 5.874e-04) + (769, 1.623e-04) + (1793, 4.442e-05) + (4097, 1.207e-05) + (9217, 3.261e-06) + }; + + \addplot plot coordinates { + (7, 8.472e-02) + (31, 3.044e-02) + (111, 1.022e-02) + (351, 3.303e-03) + (1023, 1.039e-03) + (2815, 3.196e-04) + (7423, 9.658e-05) + (18943, 2.873e-05) + (47103, 8.437e-06) + }; + + \addplot plot coordinates { + (9, 7.881e-02) + (49, 3.243e-02) + (209, 1.232e-02) + (769, 4.454e-03) + (2561, 1.551e-03) + (7937, 5.236e-04) + (23297, 1.723e-04) + (65537, 5.545e-05) + (178177, 1.751e-05) + }; + + \addplot plot coordinates { + (11, 6.887e-02) + (71, 3.177e-02) + (351, 1.341e-02) + (1471, 5.334e-03) + (5503, 2.027e-03) + (18943, 7.415e-04) + (61183, 2.628e-04) + (187903, 9.063e-05) + (553983, 3.053e-05) + }; + + \addplot plot coordinates { + (13, 5.755e-02) + (97, 2.925e-02) + (545, 1.351e-02) + (2561, 5.842e-03) + (10625, 2.397e-03) + (40193, 9.414e-04) + (141569, 3.564e-04) + (471041, 1.308e-04) + (1496065, 4.670e-05) + }; + \legend{$d=2$\\$d=3$\\$d=4$\\$d=5$\\$d=6$\\} + \end{loglogaxis} +\end{tikzpicture} + +\begin{lstlisting} + \begin{tikzpicture}[scale=1.3] + \begin{loglogaxis} + ... + \end{loglogaxis} + \end{tikzpicture} +\end{lstlisting} +\caption{The effect of a ``\texttt{scale}'' transformation by~$30\%$.} +\label{fig:scale2} +\end{figure} + +You can scale plots either using the \texttt{width=5cm} and/or \texttt{height=3cm} options or by setting the dimension for each unit coordinate as is shown in figure~\ref{fig:scale:units}. + +More examples can be found in section~\ref{sec:examples}. + +\begin{figure} +\centering +\begin{tikzpicture} + \begin{loglogaxis}[% + x=0.4cm,y=0.7cm, + xlabel={Degrees of freedom}, + ylabel={$L_2$ Error} + ] + \addplot plot coordinates { + (5, 8.312e-02) + (17, 2.547e-02) + (49, 7.407e-03) + (129, 2.102e-03) + (321, 5.874e-04) + (769, 1.623e-04) + (1793, 4.442e-05) + (4097, 1.207e-05) + (9217, 3.261e-06) + }; + + \addplot plot coordinates { + (7, 8.472e-02) + (31, 3.044e-02) + (111, 1.022e-02) + (351, 3.303e-03) + (1023, 1.039e-03) + (2815, 3.196e-04) + (7423, 9.658e-05) + (18943, 2.873e-05) + (47103, 8.437e-06) + }; + + \addplot plot coordinates { + (9, 7.881e-02) + (49, 3.243e-02) + (209, 1.232e-02) + (769, 4.454e-03) + (2561, 1.551e-03) + (7937, 5.236e-04) + (23297, 1.723e-04) + (65537, 5.545e-05) + (178177, 1.751e-05) + }; + + \addplot plot coordinates { + (11, 6.887e-02) + (71, 3.177e-02) + (351, 1.341e-02) + (1471, 5.334e-03) + (5503, 2.027e-03) + (18943, 7.415e-04) + (61183, 2.628e-04) + (187903, 9.063e-05) + (553983, 3.053e-05) + }; + + \addplot plot coordinates { + (13, 5.755e-02) + (97, 2.925e-02) + (545, 1.351e-02) + (2561, 5.842e-03) + (10625, 2.397e-03) + (40193, 9.414e-04) + (141569, 3.564e-04) + (471041, 1.308e-04) + (1496065, 4.670e-05) + }; + \legend{$d=2$\\$d=3$\\$d=4$\\$d=5$\\$d=6$\\} + \end{loglogaxis} +\end{tikzpicture}% + +\begin{lstlisting} + \begin{tikzpicture} + \begin{loglogaxis}[x=0.4cm,y=0.7cm,...] + ... + \end{loglogaxis} + \end{tikzpicture} +\end{lstlisting} +\caption{The result of setting the unit vector for~$x$ to~0.4cm and for~$y$ to~0.7cm.} +\label{fig:scale:units} +\end{figure} + diff --git a/Master/texmf-dist/doc/latex/pgfplots/pgfplots.pdf b/Master/texmf-dist/doc/latex/pgfplots/pgfplots.pdf new file mode 100644 index 00000000000..824dd8fa874 --- /dev/null +++ b/Master/texmf-dist/doc/latex/pgfplots/pgfplots.pdf @@ -0,0 +1,11875 @@ +%PDF-1.4 +% +5 0 obj +<< /S /GoTo /D (section.1) >> +endobj +8 0 obj +(Introduction) +endobj +9 0 obj +<< /S /GoTo /D (section.2) >> +endobj +12 0 obj +(Upgrade remarks) +endobj +13 0 obj +<< /S /GoTo /D (section.3) >> +endobj +16 0 obj +(Installation) +endobj +17 0 obj +<< /S /GoTo /D (subsection.3.1) >> +endobj +20 0 obj +(Licensing) +endobj +21 0 obj +<< /S /GoTo /D (subsection.3.2) >> +endobj +24 0 obj +(Prerequisites) +endobj +25 0 obj +<< /S /GoTo /D (subsection.3.3) >> +endobj +28 0 obj +(Files in the Pgfplots-Bundle) +endobj +29 0 obj +<< /S /GoTo /D (subsection.3.4) >> +endobj +32 0 obj +(Assigning the TEXINPUTS 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endobj +1778 0 obj << +/Names [(Item.16) 812 0 R (Item.17) 813 0 R (Item.18) 814 0 R (Item.19) 816 0 R (Item.2) 483 0 R (Item.20) 817 0 R] +/Limits [(Item.16) (Item.20)] +>> endobj +1779 0 obj << +/Names [(Item.21) 818 0 R (Item.22) 880 0 R (Item.23) 881 0 R (Item.24) 992 0 R (Item.25) 994 0 R (Item.26) 995 0 R] +/Limits [(Item.21) (Item.26)] +>> endobj +1780 0 obj << +/Names [(Item.27) 996 0 R (Item.28) 998 0 R (Item.29) 999 0 R (Item.3) 492 0 R (Item.30) 1000 0 R (Item.31) 1001 0 R] +/Limits [(Item.27) (Item.31)] +>> endobj +1781 0 obj << +/Names [(Item.32) 1002 0 R (Item.33) 1003 0 R (Item.34) 1004 0 R (Item.35) 1670 0 R (Item.36) 1677 0 R (Item.4) 493 0 R] +/Limits [(Item.32) (Item.4)] +>> endobj +1782 0 obj << +/Names [(Item.5) 494 0 R (Item.6) 793 0 R (Item.7) 795 0 R (Item.8) 796 0 R (Item.9) 797 0 R (cite.tikz) 559 0 R] +/Limits [(Item.5) (cite.tikz)] +>> endobj +1783 0 obj << +/Names [(figure.1) 560 0 R (figure.10) 924 0 R (figure.11) 1072 0 R (figure.12) 1138 0 R (figure.13) 1579 0 R (figure.14) 1642 0 R] +/Limits [(figure.1) (figure.14)] +>> endobj +1784 0 obj << +/Names [(figure.2) 591 0 R (figure.3) 618 0 R (figure.4) 619 0 R (figure.5) 670 0 R (figure.6) 699 0 R (figure.7) 745 0 R] +/Limits [(figure.2) (figure.7)] +>> endobj +1785 0 obj << +/Names [(figure.8) 771 0 R (figure.9) 772 0 R (lstlisting.-1) 482 0 R (lstlisting.-10) 565 0 R (lstlisting.-11) 601 0 R (lstlisting.-12) 615 0 R] +/Limits [(figure.8) (lstlisting.-12)] +>> endobj +1786 0 obj << +/Names [(lstlisting.-13) 657 0 R (lstlisting.-14) 661 0 R (lstlisting.-15) 681 0 R (lstlisting.-16) 739 0 R (lstlisting.-17) 777 0 R (lstlisting.-18) 787 0 R] +/Limits [(lstlisting.-13) (lstlisting.-18)] +>> endobj +1787 0 obj << +/Names [(lstlisting.-19) 794 0 R (lstlisting.-2) 491 0 R (lstlisting.-20) 799 0 R (lstlisting.-21) 810 0 R (lstlisting.-22) 815 0 R (lstlisting.-23) 819 0 R] +/Limits [(lstlisting.-19) (lstlisting.-23)] +>> endobj +1788 0 obj << +/Names [(lstlisting.-24) 830 0 R (lstlisting.-25) 843 0 R (lstlisting.-26) 849 0 R (lstlisting.-27) 855 0 R (lstlisting.-28) 857 0 R (lstlisting.-29) 859 0 R] +/Limits [(lstlisting.-24) (lstlisting.-29)] +>> endobj +1789 0 obj << +/Names [(lstlisting.-3) 495 0 R (lstlisting.-30) 882 0 R (lstlisting.-31) 884 0 R (lstlisting.-32) 886 0 R (lstlisting.-33) 896 0 R (lstlisting.-34) 900 0 R] +/Limits [(lstlisting.-3) (lstlisting.-34)] +>> endobj +1790 0 obj << +/Names [(lstlisting.-35) 905 0 R (lstlisting.-36) 931 0 R (lstlisting.-37) 939 0 R (lstlisting.-38) 946 0 R (lstlisting.-39) 950 0 R (lstlisting.-4) 498 0 R] +/Limits [(lstlisting.-35) (lstlisting.-4)] +>> endobj +1791 0 obj << +/Names [(lstlisting.-40) 954 0 R (lstlisting.-41) 960 0 R (lstlisting.-42) 967 0 R (lstlisting.-43) 971 0 R (lstlisting.-44) 979 0 R (lstlisting.-45) 990 0 R] +/Limits [(lstlisting.-40) (lstlisting.-45)] +>> endobj +1792 0 obj << +/Names [(lstlisting.-46) 993 0 R (lstlisting.-47) 997 0 R (lstlisting.-48) 1005 0 R (lstlisting.-49) 1011 0 R (lstlisting.-5) 515 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[(lstlisting.-68) (lstlisting.-72)] +>> endobj +1797 0 obj << +/Names [(lstlisting.-73) 1230 0 R (lstlisting.-74) 1236 0 R (lstlisting.-75) 1247 0 R (lstlisting.-76) 1253 0 R (lstlisting.-77) 1259 0 R (lstlisting.-78) 1275 0 R] +/Limits [(lstlisting.-73) (lstlisting.-78)] +>> endobj +1798 0 obj << +/Names [(lstlisting.-79) 1283 0 R (lstlisting.-8) 536 0 R (lstlisting.-80) 1314 0 R (lstlisting.-81) 1344 0 R (lstlisting.-82) 1374 0 R (lstlisting.-83) 1404 0 R] +/Limits [(lstlisting.-79) (lstlisting.-83)] +>> endobj +1799 0 obj << +/Names [(lstlisting.-84) 1432 0 R (lstlisting.-85) 1450 0 R (lstlisting.-86) 1460 0 R (lstlisting.-87) 1482 0 R (lstlisting.-88) 1497 0 R (lstlisting.-89) 1507 0 R] +/Limits [(lstlisting.-84) (lstlisting.-89)] +>> endobj +1800 0 obj << +/Names [(lstlisting.-9) 542 0 R (lstlisting.-90) 1540 0 R (lstlisting.-91) 1570 0 R (lstlisting.-92) 1646 0 R (lstlisting.-93) 1678 0 R (lstlisting.-94) 1680 0 R] +/Limits [(lstlisting.-9) (lstlisting.-94)] +>> endobj +1801 0 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[(lstnumber.-10.6) 571 0 R (lstnumber.-10.7) 572 0 R (lstnumber.-10.8) 573 0 R (lstnumber.-10.9) 574 0 R (lstnumber.-11.1) 602 0 R (lstnumber.-11.10) 611 0 R] +/Limits [(lstnumber.-10.6) (lstnumber.-11.10)] +>> endobj +1806 0 obj << +/Names [(lstnumber.-11.11) 612 0 R (lstnumber.-11.12) 613 0 R (lstnumber.-11.13) 614 0 R (lstnumber.-11.2) 603 0 R (lstnumber.-11.3) 604 0 R (lstnumber.-11.4) 605 0 R] +/Limits [(lstnumber.-11.11) (lstnumber.-11.4)] +>> endobj +1807 0 obj << +/Names [(lstnumber.-11.5) 606 0 R (lstnumber.-11.6) 607 0 R (lstnumber.-11.7) 608 0 R (lstnumber.-11.8) 609 0 R (lstnumber.-11.9) 610 0 R (lstnumber.-12.1) 616 0 R] +/Limits [(lstnumber.-11.5) (lstnumber.-12.1)] +>> endobj +1808 0 obj << +/Names [(lstnumber.-12.10) 636 0 R (lstnumber.-12.11) 637 0 R (lstnumber.-12.12) 638 0 R (lstnumber.-12.13) 639 0 R (lstnumber.-12.14) 640 0 R (lstnumber.-12.15) 641 0 R] +/Limits [(lstnumber.-12.10) (lstnumber.-12.15)] +>> endobj +1809 0 obj << +/Names [(lstnumber.-12.16) 642 0 R (lstnumber.-12.17) 643 0 R (lstnumber.-12.18) 644 0 R (lstnumber.-12.19) 645 0 R (lstnumber.-12.2) 617 0 R (lstnumber.-12.20) 646 0 R] +/Limits [(lstnumber.-12.16) (lstnumber.-12.20)] +>> endobj +1810 0 obj << +/Names [(lstnumber.-12.21) 647 0 R (lstnumber.-12.22) 648 0 R (lstnumber.-12.23) 649 0 R (lstnumber.-12.24) 650 0 R (lstnumber.-12.25) 651 0 R (lstnumber.-12.26) 652 0 R] +/Limits [(lstnumber.-12.21) (lstnumber.-12.26)] +>> endobj +1811 0 obj << +/Names [(lstnumber.-12.27) 653 0 R (lstnumber.-12.28) 654 0 R (lstnumber.-12.29) 655 0 R (lstnumber.-12.3) 629 0 R (lstnumber.-12.30) 656 0 R (lstnumber.-12.4) 630 0 R] +/Limits [(lstnumber.-12.27) (lstnumber.-12.4)] +>> endobj +1812 0 obj << +/Names [(lstnumber.-12.5) 631 0 R (lstnumber.-12.6) 632 0 R (lstnumber.-12.7) 633 0 R (lstnumber.-12.8) 634 0 R (lstnumber.-12.9) 635 0 R (lstnumber.-13.1) 658 0 R] +/Limits [(lstnumber.-12.5) (lstnumber.-13.1)] +>> endobj +1813 0 obj << +/Names [(lstnumber.-13.2) 659 0 R (lstnumber.-13.3) 660 0 R 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(lstnumber.-91.50) 1630 0 R] +/Limits [(lstnumber.-91.46) (lstnumber.-91.50)] +>> endobj +1927 0 obj << +/Names [(lstnumber.-91.51) 1631 0 R (lstnumber.-91.52) 1632 0 R (lstnumber.-91.53) 1633 0 R (lstnumber.-91.54) 1634 0 R (lstnumber.-91.55) 1635 0 R (lstnumber.-91.56) 1643 0 R] +/Limits [(lstnumber.-91.51) (lstnumber.-91.56)] +>> endobj +1928 0 obj << +/Names [(lstnumber.-91.57) 1644 0 R (lstnumber.-91.58) 1645 0 R (lstnumber.-91.6) 1576 0 R (lstnumber.-91.7) 1577 0 R (lstnumber.-91.8) 1578 0 R (lstnumber.-91.9) 1589 0 R] +/Limits [(lstnumber.-91.57) (lstnumber.-91.9)] +>> endobj +1929 0 obj << +/Names [(lstnumber.-92.1) 1647 0 R (lstnumber.-92.10) 1656 0 R (lstnumber.-92.11) 1657 0 R (lstnumber.-92.12) 1658 0 R (lstnumber.-92.13) 1659 0 R (lstnumber.-92.14) 1660 0 R] +/Limits [(lstnumber.-92.1) (lstnumber.-92.14)] +>> endobj +1930 0 obj << +/Names [(lstnumber.-92.15) 1661 0 R (lstnumber.-92.16) 1662 0 R (lstnumber.-92.17) 1663 0 R (lstnumber.-92.18) 1664 0 R (lstnumber.-92.19) 1665 0 R (lstnumber.-92.2) 1648 0 R] +/Limits [(lstnumber.-92.15) (lstnumber.-92.2)] +>> endobj +1931 0 obj << +/Names [(lstnumber.-92.3) 1649 0 R (lstnumber.-92.4) 1650 0 R (lstnumber.-92.5) 1651 0 R (lstnumber.-92.6) 1652 0 R (lstnumber.-92.7) 1653 0 R (lstnumber.-92.8) 1654 0 R] +/Limits [(lstnumber.-92.3) (lstnumber.-92.8)] +>> endobj +1932 0 obj << +/Names [(lstnumber.-92.9) 1655 0 R (lstnumber.-93.1) 1679 0 R (lstnumber.-94.1) 1681 0 R (lstnumber.-95.1) 1683 0 R (lstnumber.-95.2) 1684 0 R (page.1) 388 0 R] +/Limits [(lstnumber.-92.9) (page.1)] +>> endobj +1933 0 obj << +/Names [(page.10) 628 0 R (page.11) 669 0 R (page.12) 698 0 R (page.13) 738 0 R (page.14) 776 0 R (page.15) 786 0 R] +/Limits [(page.10) (page.15)] +>> endobj +1934 0 obj << +/Names [(page.16) 807 0 R (page.17) 829 0 R (page.18) 842 0 R (page.19) 877 0 R (page.2) 451 0 R (page.20) 895 0 R] +/Limits [(page.16) (page.20)] +>> endobj +1935 0 obj << +/Names [(page.21) 923 0 R (page.22) 945 0 R (page.23) 978 0 R (page.24) 1010 0 R (page.25) 1037 0 R (page.26) 1063 0 R] +/Limits [(page.21) (page.26)] +>> endobj +1936 0 obj << +/Names [(page.27) 1076 0 R (page.28) 1112 0 R (page.29) 1128 0 R (page.3) 478 0 R (page.30) 1168 0 R (page.31) 1192 0 R] +/Limits [(page.27) (page.31)] +>> endobj +1937 0 obj << +/Names [(page.32) 1207 0 R (page.33) 1215 0 R (page.34) 1223 0 R (page.35) 1246 0 R (page.36) 1271 0 R (page.37) 1282 0 R] +/Limits [(page.32) (page.37)] +>> endobj +1938 0 obj << +/Names [(page.38) 1312 0 R (page.39) 1343 0 R (page.4) 490 0 R (page.40) 1373 0 R (page.41) 1403 0 R (page.42) 1431 0 R] +/Limits [(page.38) (page.42)] +>> endobj +1939 0 obj << +/Names [(page.43) 1449 0 R (page.44) 1481 0 R (page.45) 1496 0 R (page.46) 1527 0 R (page.47) 1558 0 R (page.48) 1583 0 R] +/Limits [(page.43) (page.48)] +>> endobj +1940 0 obj << +/Names [(page.49) 1588 0 R (page.5) 522 0 R (page.50) 1641 0 R (page.51) 1669 0 R (page.52) 1676 0 R (page.6) 535 0 R] +/Limits [(page.49) (page.6)] +>> endobj +1941 0 obj << +/Names [(page.7) 564 0 R (page.8) 597 0 R (page.9) 623 0 R (section*.1) 397 0 R (section*.2) 904 0 R (section*.3) 989 0 R] +/Limits [(page.7) (section*.3)] +>> endobj +1942 0 obj << +/Names [(section*.4) 1113 0 R (section*.5) 1685 0 R (section.1) 6 0 R (section.2) 10 0 R (section.3) 14 0 R (section.4) 50 0 R] +/Limits [(section*.4) (section.4)] +>> endobj +1943 0 obj << +/Names [(section.5) 74 0 R (section.6) 266 0 R (section.7) 346 0 R (subsection.3.1) 18 0 R (subsection.3.2) 22 0 R (subsection.3.3) 26 0 R] +/Limits [(section.5) (subsection.3.3)] +>> endobj +1944 0 obj << +/Names [(subsection.3.4) 30 0 R (subsection.3.5) 34 0 R (subsection.3.6) 38 0 R (subsection.3.7) 42 0 R (subsection.3.8) 46 0 R (subsection.4.1) 54 0 R] +/Limits [(subsection.3.4) (subsection.4.1)] +>> endobj +1945 0 obj << +/Names [(subsection.4.2) 58 0 R (subsection.4.3) 62 0 R (subsection.4.4) 66 0 R (subsection.4.5) 70 0 R (subsection.5.1) 78 0 R (subsection.5.10) 126 0 R] +/Limits [(subsection.4.2) (subsection.5.10)] +>> endobj +1946 0 obj << +/Names [(subsection.5.11) 130 0 R (subsection.5.12) 134 0 R (subsection.5.13) 138 0 R (subsection.5.14) 142 0 R (subsection.5.15) 258 0 R (subsection.5.16) 262 0 R] +/Limits [(subsection.5.11) (subsection.5.16)] +>> endobj +1947 0 obj << +/Names [(subsection.5.2) 82 0 R (subsection.5.3) 94 0 R (subsection.5.4) 98 0 R (subsection.5.5) 102 0 R (subsection.5.6) 106 0 R (subsection.5.7) 110 0 R] +/Limits [(subsection.5.2) (subsection.5.7)] +>> endobj +1948 0 obj << +/Names [(subsection.5.8) 114 0 R (subsection.5.9) 122 0 R (subsection.6.1) 270 0 R (subsection.6.2) 294 0 R (subsection.6.3) 298 0 R (subsection.6.4) 310 0 R] +/Limits [(subsection.5.8) (subsection.6.4)] +>> endobj +1949 0 obj << +/Names [(subsection.6.5) 322 0 R (subsection.6.6) 334 0 R (subsection.6.7) 338 0 R (subsection.6.8) 342 0 R (subsection.7.1) 350 0 R (subsection.7.2) 354 0 R] +/Limits [(subsection.6.5) (subsection.7.2)] +>> endobj +1950 0 obj << +/Names [(subsection.7.3) 358 0 R (subsubsection.5.14.1) 146 0 R (subsubsection.5.14.10) 182 0 R (subsubsection.5.14.11) 186 0 R (subsubsection.5.14.12) 190 0 R (subsubsection.5.14.13) 194 0 R] +/Limits [(subsection.7.3) (subsubsection.5.14.13)] +>> endobj +1951 0 obj << +/Names [(subsubsection.5.14.14) 198 0 R (subsubsection.5.14.15) 202 0 R (subsubsection.5.14.16) 206 0 R (subsubsection.5.14.17) 210 0 R (subsubsection.5.14.18) 214 0 R (subsubsection.5.14.19) 218 0 R] +/Limits [(subsubsection.5.14.14) (subsubsection.5.14.19)] +>> endobj +1952 0 obj << +/Names [(subsubsection.5.14.2) 150 0 R (subsubsection.5.14.20) 222 0 R (subsubsection.5.14.21) 226 0 R (subsubsection.5.14.22) 230 0 R (subsubsection.5.14.23) 234 0 R (subsubsection.5.14.24) 238 0 R] +/Limits [(subsubsection.5.14.2) (subsubsection.5.14.24)] +>> endobj +1953 0 obj << +/Names [(subsubsection.5.14.25) 242 0 R (subsubsection.5.14.26) 246 0 R (subsubsection.5.14.27) 250 0 R (subsubsection.5.14.28) 254 0 R (subsubsection.5.14.3) 154 0 R (subsubsection.5.14.4) 158 0 R] +/Limits [(subsubsection.5.14.25) (subsubsection.5.14.4)] +>> endobj +1954 0 obj << +/Names [(subsubsection.5.14.5) 162 0 R (subsubsection.5.14.6) 166 0 R (subsubsection.5.14.7) 170 0 R (subsubsection.5.14.8) 174 0 R (subsubsection.5.14.9) 178 0 R (subsubsection.5.2.1) 86 0 R] +/Limits [(subsubsection.5.14.5) (subsubsection.5.2.1)] +>> endobj +1955 0 obj << +/Names [(subsubsection.5.2.2) 90 0 R (subsubsection.5.8.1) 118 0 R (subsubsection.6.1.1) 274 0 R (subsubsection.6.1.2) 278 0 R (subsubsection.6.1.3) 282 0 R (subsubsection.6.1.4) 286 0 R] +/Limits [(subsubsection.5.2.2) (subsubsection.6.1.4)] +>> endobj +1956 0 obj << +/Names [(subsubsection.6.1.5) 290 0 R (subsubsection.6.3.1) 302 0 R (subsubsection.6.3.2) 306 0 R (subsubsection.6.4.1) 314 0 R (subsubsection.6.4.2) 318 0 R (subsubsection.6.5.1) 326 0 R] +/Limits [(subsubsection.6.1.5) (subsubsection.6.5.1)] +>> endobj +1957 0 obj << +/Names [(subsubsection.6.5.2) 330 0 R] +/Limits [(subsubsection.6.5.2) (subsubsection.6.5.2)] +>> endobj +1958 0 obj << +/Kids [1776 0 R 1777 0 R 1778 0 R 1779 0 R 1780 0 R 1781 0 R] +/Limits [(Doc-Start) (Item.4)] +>> endobj +1959 0 obj << +/Kids [1782 0 R 1783 0 R 1784 0 R 1785 0 R 1786 0 R 1787 0 R] +/Limits [(Item.5) (lstlisting.-23)] +>> endobj +1960 0 obj << +/Kids [1788 0 R 1789 0 R 1790 0 R 1791 0 R 1792 0 R 1793 0 R] +/Limits [(lstlisting.-24) (lstlisting.-56)] +>> endobj +1961 0 obj << +/Kids [1794 0 R 1795 0 R 1796 0 R 1797 0 R 1798 0 R 1799 0 R] +/Limits [(lstlisting.-57) (lstlisting.-89)] +>> endobj +1962 0 obj << +/Kids [1800 0 R 1801 0 R 1802 0 R 1803 0 R 1804 0 R 1805 0 R] +/Limits [(lstlisting.-9) (lstnumber.-11.10)] +>> endobj +1963 0 obj << +/Kids [1806 0 R 1807 0 R 1808 0 R 1809 0 R 1810 0 R 1811 0 R] +/Limits [(lstnumber.-11.11) (lstnumber.-12.4)] +>> endobj +1964 0 obj << +/Kids [1812 0 R 1813 0 R 1814 0 R 1815 0 R 1816 0 R 1817 0 R] +/Limits [(lstnumber.-12.5) (lstnumber.-15.22)] +>> endobj +1965 0 obj << +/Kids [1818 0 R 1819 0 R 1820 0 R 1821 0 R 1822 0 R 1823 0 R] +/Limits [(lstnumber.-15.23) (lstnumber.-15.55)] +>> endobj +1966 0 obj << +/Kids [1824 0 R 1825 0 R 1826 0 R 1827 0 R 1828 0 R 1829 0 R] +/Limits [(lstnumber.-15.56) (lstnumber.-23.5)] +>> endobj +1967 0 obj << +/Kids [1830 0 R 1831 0 R 1832 0 R 1833 0 R 1834 0 R 1835 0 R] +/Limits [(lstnumber.-24.1) (lstnumber.-33.1)] +>> endobj +1968 0 obj << +/Kids [1836 0 R 1837 0 R 1838 0 R 1839 0 R 1840 0 R 1841 0 R] +/Limits [(lstnumber.-33.2) (lstnumber.-39.1)] +>> endobj +1969 0 obj << +/Kids [1842 0 R 1843 0 R 1844 0 R 1845 0 R 1846 0 R 1847 0 R] +/Limits [(lstnumber.-39.2) (lstnumber.-44.1)] +>> endobj +1970 0 obj << +/Kids [1848 0 R 1849 0 R 1850 0 R 1851 0 R 1852 0 R 1853 0 R] +/Limits [(lstnumber.-44.2) (lstnumber.-54.5)] +>> endobj +1971 0 obj << +/Kids [1854 0 R 1855 0 R 1856 0 R 1857 0 R 1858 0 R 1859 0 R] +/Limits [(lstnumber.-54.6) (lstnumber.-59.28)] +>> endobj +1972 0 obj << +/Kids [1860 0 R 1861 0 R 1862 0 R 1863 0 R 1864 0 R 1865 0 R] +/Limits [(lstnumber.-59.29) (lstnumber.-64.4)] +>> endobj +1973 0 obj << +/Kids [1866 0 R 1867 0 R 1868 0 R 1869 0 R 1870 0 R 1871 0 R] +/Limits [(lstnumber.-64.5) (lstnumber.-72.5)] +>> endobj +1974 0 obj << +/Kids [1872 0 R 1873 0 R 1874 0 R 1875 0 R 1876 0 R 1877 0 R] +/Limits [(lstnumber.-73.1) (lstnumber.-79.10)] +>> endobj +1975 0 obj << +/Kids [1878 0 R 1879 0 R 1880 0 R 1881 0 R 1882 0 R 1883 0 R] +/Limits [(lstnumber.-79.11) (lstnumber.-80.18)] +>> endobj +1976 0 obj << +/Kids [1884 0 R 1885 0 R 1886 0 R 1887 0 R 1888 0 R 1889 0 R] +/Limits [(lstnumber.-80.19) (lstnumber.-81.5)] +>> endobj +1977 0 obj << +/Kids [1890 0 R 1891 0 R 1892 0 R 1893 0 R 1894 0 R 1895 0 R] +/Limits [(lstnumber.-81.6) (lstnumber.-83.15)] +>> endobj +1978 0 obj << +/Kids [1896 0 R 1897 0 R 1898 0 R 1899 0 R 1900 0 R 1901 0 R] +/Limits [(lstnumber.-83.16) (lstnumber.-85.8)] +>> endobj +1979 0 obj << +/Kids [1902 0 R 1903 0 R 1904 0 R 1905 0 R 1906 0 R 1907 0 R] +/Limits [(lstnumber.-85.9) (lstnumber.-88.9)] +>> endobj +1980 0 obj << +/Kids [1908 0 R 1909 0 R 1910 0 R 1911 0 R 1912 0 R 1913 0 R] +/Limits [(lstnumber.-89.1) (lstnumber.-9.16)] +>> endobj +1981 0 obj << +/Kids [1914 0 R 1915 0 R 1916 0 R 1917 0 R 1918 0 R 1919 0 R] +/Limits [(lstnumber.-9.2) (lstnumber.-91.12)] +>> endobj +1982 0 obj << +/Kids [1920 0 R 1921 0 R 1922 0 R 1923 0 R 1924 0 R 1925 0 R] +/Limits [(lstnumber.-91.13) (lstnumber.-91.45)] +>> endobj +1983 0 obj << +/Kids [1926 0 R 1927 0 R 1928 0 R 1929 0 R 1930 0 R 1931 0 R] +/Limits [(lstnumber.-91.46) (lstnumber.-92.8)] +>> endobj +1984 0 obj << +/Kids [1932 0 R 1933 0 R 1934 0 R 1935 0 R 1936 0 R 1937 0 R] +/Limits [(lstnumber.-92.9) (page.37)] +>> endobj +1985 0 obj << +/Kids [1938 0 R 1939 0 R 1940 0 R 1941 0 R 1942 0 R 1943 0 R] +/Limits [(page.38) (subsection.3.3)] +>> endobj +1986 0 obj << +/Kids [1944 0 R 1945 0 R 1946 0 R 1947 0 R 1948 0 R 1949 0 R] +/Limits [(subsection.3.4) (subsection.7.2)] +>> endobj +1987 0 obj << +/Kids [1950 0 R 1951 0 R 1952 0 R 1953 0 R 1954 0 R 1955 0 R] +/Limits [(subsection.7.3) (subsubsection.6.1.4)] +>> endobj +1988 0 obj << +/Kids [1956 0 R 1957 0 R] +/Limits [(subsubsection.6.1.5) (subsubsection.6.5.2)] +>> endobj +1989 0 obj << +/Kids [1958 0 R 1959 0 R 1960 0 R 1961 0 R 1962 0 R 1963 0 R] +/Limits [(Doc-Start) (lstnumber.-12.4)] +>> endobj +1990 0 obj << +/Kids [1964 0 R 1965 0 R 1966 0 R 1967 0 R 1968 0 R 1969 0 R] +/Limits [(lstnumber.-12.5) (lstnumber.-44.1)] +>> endobj +1991 0 obj << +/Kids [1970 0 R 1971 0 R 1972 0 R 1973 0 R 1974 0 R 1975 0 R] +/Limits [(lstnumber.-44.2) (lstnumber.-80.18)] +>> endobj +1992 0 obj << +/Kids [1976 0 R 1977 0 R 1978 0 R 1979 0 R 1980 0 R 1981 0 R] +/Limits [(lstnumber.-80.19) (lstnumber.-91.12)] +>> endobj +1993 0 obj << +/Kids [1982 0 R 1983 0 R 1984 0 R 1985 0 R 1986 0 R 1987 0 R] +/Limits [(lstnumber.-91.13) (subsubsection.6.1.4)] +>> endobj +1994 0 obj << +/Kids [1988 0 R] +/Limits [(subsubsection.6.1.5) 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--- /dev/null +++ b/Master/texmf-dist/doc/latex/pgfplots/pgfplots.reference.tex @@ -0,0 +1,1043 @@ +% main=manual.tex + +\section{Reference} +\subsection{The axis--environments} +There are four axis environments, +\begin{enumerate} +\item The axis environment for normal plots, +\begin{lstlisting} +\begin{axis} +... +\end{axis} +\end{lstlisting} + +\item The axis environment for logarithmic scaling of~$x$ and normal scaling of~$y$, +\begin{lstlisting} +\begin{semilogxaxis} +... +\end{semilogxaxis} +\end{lstlisting} + +\item The axis environment for normal scaling of~$x$ and logarithmic scaling of~$y$, +\begin{lstlisting} +\begin{semilogyaxis} +... +\end{semilogyaxis} +\end{lstlisting} + +\item The axis environment for logarithmic scaling of both, $x$~and~$y$ axes, +\begin{lstlisting} +\begin{loglogaxis} +... +\end{loglogaxis} +\end{lstlisting} +\end{enumerate} +They are all equivalent to +\begin{lstlisting} +\begin{axis}[ + xmode=log|normal, + ymode=log|normal] +... +\end{axis} +\end{lstlisting} +with properly set variables `\texttt{xmode}' and `\texttt{ymode}' (see below). + +\subsection{Available markers} +\label{sec:markers}% +The following options of \Tikz\ may be useful for plots. +\subsubsection{Markers} +This list is copied from~\cite[section~29]{tikz}: +\begingroup +\newenvironment{longdescription}[0]{% + \begin{list}{}{% + \leftmargin=4.3cm + \setlength{\labelwidth}{4.3cm}% + \renewcommand{\makelabel}[1]{\hfill\textbf{\texttt{##1}}}% + }% +}{% + \end{list}% +}% +\def\showit#1{% + \tikz\draw[% + gray, + thin, + mark options={fill=yellow!80!black,draw=black,scale=2}, + x=0.8cm,y=0.3cm, + #1] + plot coordinates {(0,0) (1,1) (2,0) (3,1)};% +}% +\begin{longdescription} + \item[mark=*] \showit{mark=*} + \item[mark=x] \showit{mark=x} + \item[mark=+] \showit{mark=+} + \item[mark=ball] \showit{mark=ball} +\end{longdescription} +And with \lstinline!\usetikzlibrary{plotmarks}!: +\begin{longdescription} + \item[mark=$-$] \showit{mark=-} + \item[mark=$|$] \showit{mark=|} + \item[mark=o] \showit{mark=o} + \item[mark=asterisk] \showit{mark=asterisk} + \item[mark=star] \showit{mark=star} + \item[mark=oplus] \showit{mark=oplus} + \item[mark=oplus*] \showit{mark=oplus*} + \item[mark=otimes] \showit{mark=otimes} + \item[mark=otimes*] \showit{mark=otimes*} + \item[mark=square] \showit{mark=square} + \item[mark=square*] \showit{mark=square*} + \item[mark=triangle] \showit{mark=triangle} + \item[mark=triangle*] \showit{mark=triangle*} + \item[mark=diamond] \showit{mark=diamond} + \item[mark=diamond*] \showit{mark=diamond*} + \item[mark=pentagon] \showit{mark=pentagon} + \item[mark=pentagon*] \showit{mark=pentagon*} +\end{longdescription} +All these options have been drawn with the additional options +\begin{lstlisting} +\draw[ + gray, + thin, + mark options={% + scale=2,fill=yellow!80!black,draw=black + } +] +\end{lstlisting} + +\subsubsection{Line styles} +\def\showit#1{% + \tikz\draw[% + black, + x=0.8cm,y=0.3cm, + #1] + plot coordinates {(0,0) (1,1) (2,0) (3,1)};% +}% +The following line styles are predefined in \Tikz: +\begin{longdescription} + \item[style=solid] \showit{style=solid} + \item[style=dotted] \showit{style=dotted} + \item[style=densely dotted] \showit{style=densely dotted} + \item[style=loosely dotted] \showit{style=loosely dotted} + \item[style=dashed] \showit{style=dashed} + \item[style=densely dashed] \showit{style=densely dashed} + \item[style=loosely dashed] \showit{style=loosely dashed} +\end{longdescription} +You may need the option \lstinline!mark options={solid}! to avoid dotted or dashed marker boundaries. The string ``\texttt{style=}'' can be omitted. +\endgroup + +\subsection{\texttt{\textbackslash addplot[OPTIONS] PATH}} +This is the main plotting command. It is used as +\begin{lstlisting} +\addplot + plot coordinates { + (0,0) + (1,1) + }; +\end{lstlisting} +or +\begin{lstlisting} +\addplot[color=blue,mark=*] + plot coordinates { + (0,0) + (1,1) + }; +\end{lstlisting} +The first syntax chooses the next unused plot specification of the list \lstinline!\autoplotspeclist! (see below) and the second syntax specifies a plot specification explicitly. This specification will be used inside of the legend (if any). + +\noindent +Some more details: +\begin{itemize} + \item You can modify \texttt{OPTIONS} with + \begin{lstlisting}[gobble=1] + \tikzstyle{every axis plot}=[...] + \end{lstlisting} + or, even better, with + \begin{lstlisting}[gobble=1] + \tikzstyle{every axis plot}+=[...] + \end{lstlisting} + \item The \texttt{OPTIONS} are remembered for the legend. + \item See subsection~\ref{sec:markers} for a list of available markers and line styles. + \item For log plots, \PGFPlots\ will compute the natural logarithm $\log(\cdot)$ numerically. This works with normal fixed point numbers or in scientific notation. For example, the following numbers are valid input to \lstinline!\addplot!. +\begin{lstlisting} +\begin{tikzpicture} +\begin{loglogaxis} +\addplot plot coordinate { + (769, 1.6227e-04) + (1793, 4.4425e-05) + (4097, 1.2071e-05) + (9217, 3.2610e-06) + (1e6, 0.00003341) + (2.3e7, 0.00131415) +; +\end{loglogaxis} +\end{tikzpicture} +\end{lstlisting} + You can represent arbirtrarily small or very large numbers as long as its logarithm can be represented as a \TeX-length (up to about~$16384$). Of course, any coordinate~$x\le 0$ is not possible since the logarithm of a non-positive number is not defined. Such coordinates will be skipped automatically. + + \item For normal plots, \PGFPlots\ understands arbirtrarily large or small numbers like 0.00000001234 or $1.234\cdot 10^{24}$. \PGFPlots\ has its own number parsing tools which are complete text based and do not rely on \TeX's limited numerical number representation. Before the plots are actually drawn, any input coordinate is transformed into \TeX-precision using transformations + \[ T_x(x) = 10^{s_x} \cdot x \text{ and } T_y(y) = 10^{s_y} \cdot y \] + with properly chosen integers $s_x, s_y \in \Z$. This ensures invariance of axis ranges. See section~\ref{sec:disabledatascaling} for more details. + + \item As a consequence of the coordinate parsing routines, you can't use the mathematical expression parsing method of \PGF\ as coordinates (that means: you will need to provide coordinates without suffixes like ``cm'' or ``pt'' and you can't invoke mathematical functions). + + \item If you did not specify axis limits for $x$ and $y$ manually, \lstinline!\addplot! will compute them automatically. + + The automatic computation of axis limits works as follows: + \begin{enumerate} + \item In case of \lstinline!\addplot plot coordinates {...};!, every coordinate will be checked. + Any other \Tikz-plot mode is not (yet) supported (had no time yet). + \item Since more than one \lstinline!\addplot! command may be used inside an \lstinline!\begin{axis}...\end{axis}!, all drawing commands will be postponed until \lstinline!\end{axis}!. + + See the \lstinline!\axispath!-command for more information about automatic axis limits and the postponed drawing. + \end{enumerate} +\end{itemize} + +\subsection{\texttt{\textbackslash addplot+[OPTIONS] ...}} +Does the same like \lstinline!\addplot[OPTIONS] ...! except that \texttt{OPTIONS} is \emph{appended} to the arguments which would have been taken for \lstinline!\addplot ...! (the element of the default list). + +Example: +\begin{lstlisting} +\addplot+[only marks] plot coordinates {...}; +\end{lstlisting} +will use the same line style, markers, colors as +\begin{lstlisting} +\addplot plot coordinates {...}; +\end{lstlisting} +but it will only draw markers, no lines. + +\subsection{\texttt{\textbackslash axispath...;}} +\label{sec:axispath}% +This command allows to draw custom content into an axis. The argument to \lstinline!\axispath! may be any \Tikz-command like +\begin{lstlisting} +\axispath\node at (axis cs:12.14368,-9.30872) {}; +\end{lstlisting} +or +\begin{lstlisting} +\axispath\draw + (axis cs:12.14368,-9.30872) + -- (axis cs:0,1); +\end{lstlisting} +A useful example is presented in section~\ref{sec:annot:plot} where annotations are placed near some data points. + +The \lstinline!\axispath! command is necessary to communicate drawing commands to \PGFPlots. If \PGFPlots\ needs to determine the $x$~and/or~$y$ limits automatically, any plotting commands (including those with \lstinline!\axispath!) will be postponed until \lstinline!\end{axis}!. + +A missing \lstinline!\axispath! may corrupt your graphics because the clipping area may not yet be known. + +The ``\texttt{axis cs}'' coordinate system allows you to access axis coordinates. You can use the same numbers as in \lstinline!\addplot! all required transformations like logarithms or data scaling transformations will be applied. All \lstinline!\axispath! commands should use these coordinate systems. See section~\ref{sec:axis:coords} for more information and section~\ref{sec:annot:plot} for examples. + +\subsection{Accessing axis coordinates with \texttt{axis cs}} +\label{sec:axis:coords}% +\PGFPlots\ provides a new coordinate system for use inside of an axis, the ``axis coordinate system'', \texttt{axis cs}. + +Its can be used in conjunction with \lstinline!\axispath! to draw any \Tikz-graphics at axis coordinates. It is used like +\begin{lstlisting} + \axispath\draw + (axis cs:18943,2.873391e-05) + |- (axis cs:47103,8.437499e-06); +\end{lstlisting} +see section~\ref{sec:annot:plot} for example graphics. + +\paragraph{Attention:} Whenever you draw additional graphics, consider using \texttt{axis cs}! It applies any logarithms, data scaling transformations or whatever \PGFPlots\ usually does! + +\subsection{\texttt{\textbackslash addlegendentry\{name\}}} +Adds a single legend entry to the legend list. Example: +\begin{lstlisting} +\begin{tikzpicture} +\begin{axis} +\addplot[smooth,mark=*,blue] plot coordinates { + (0,2) + (2,3) + (3,1) +}; +\addlegendentry{Case 1} + +\addplot[smooth,color=red,mark=x] + plot coordinates { + (0,0) + (1,1) + (2,1) + (3,2) + }; +\addlegendentry{Case 2} +\end{axis} +\end{tikzpicture} +\end{lstlisting} +The outcome of this listing is shown in figure~\ref{fig:addlegendentry}. +\begin{figure} + \centering + \begin{tikzpicture} + \begin{axis} + \addplot[smooth,mark=*,blue] plot coordinates { + (0,2) + (2,3) + (3,1) + }; + \addlegendentry{Case 1} + + \addplot[smooth,color=red,mark=x] + plot coordinates { + (0,0) + (1,1) + (2,1) + (3,2) + }; + \addlegendentry{Case 2} + \end{axis} + \end{tikzpicture} + + \caption{An example for the \texttt{\textbackslash addlegendentry} command}% + \label{fig:addlegendentry}% +\end{figure}% +It does not matter where \lstinline[breaklines=false]!\addlegendentry! commands are placed, only the sequence matters. You will need one \lstinline[breaklines=false]!\addlegendentry! for every \lstinline!\addplot! command. + + +\subsection{\texttt{\textbackslash legend[OPTIONS]\{LIST\}}} +\label{sec:legenddef}% +You can use +\begin{lstlisting} +\begin{tikzpicture} +\begin{axis} +... +\legend{$d=2$\\$d=3$\\$d=4$\\$d=5$\\$d=6$\\} +... +\end{axis} +\end{tikzpicture} +\end{lstlisting} +to assign a complete legend. \textbf{Attention:} the final \lstinline!\\! is necessary! The \lstinline[breaklines=false]!\legend! command takes the following arguments: +\begin{lstlisting} +\legend[OPTIONS]{TEXT1\\TEXT2\\TEXT3\\...\\} +\end{lstlisting} +where each legend element needs to be terminated by \lstinline[breaklines=false]!\\!. The short marker/line combination shown in legends is acquired from the argument to \lstinline[breaklines=false]!\addplot[...]!. + +\subsubsection{Legend appearance} +The style ``\texttt{every axis legend}'' determines the legend's position and outer appearance: +\begin{lstlisting} +\tikzstyle{every axis legend}+=[ + at={(0,0)}, + anchor=south west] +\end{lstlisting} +will draw it at the lower left corner of the axis while +\begin{lstlisting} +\tikzstyle{every axis legend}+=[ + at={(1,1)}, + anchor=north east] +\end{lstlisting} +means the upper right corner. The `\texttt{anchor}' option determines which point \emph{of the legend} will be placed at $(0,0)$ or $(1,1)$ (see below for more examples). + +The legend is a \Tikz-matrix, so you can use any \Tikz\ option which affects +nodes and matrizes (see~\cite[section 13~and~14]{tikz}). The matrix is created by something like +\begin{lstlisting} +\matrix[style=every axis legend] { + draw plot specification 1 & \node{legend 1}\\ + draw plot specification 2 & \node{legend 2}\\ + ... +}; +\end{lstlisting} +You can configure the number of horizontal legend entries with the axis-option ``\texttt{legend columns=NUMBER}''. For example, +\begin{lstlisting} +\begin{tikzpicture} +\begin{axis}[legend columns=4] +... +\legend{legend 1\\legend 2\\legend 3\\} +\end{axis} +\end{tikzpicture} +\end{lstlisting} +would use (up to)~$4$ adjacent legend entries. + +Examples: +\begin{itemize} +\item +\begin{lstlisting} +\tikzstyle{every axis legend}+=[ + at={(1.02,1)}, + anchor=north west] +\end{lstlisting} +draws the legend OUTSIDE TOP RIGHT. + +\item +\begin{lstlisting} +\tikzstyle{every axis legend}+=[ + at={(1,0.5)}, + anchor=east,outer sep=0.5cm] +\end{lstlisting} +draws the legend INSIDE MIDDLE RIGHT, separated by 0.5cm from the axis. +\end{itemize} + +\noindent +The default is +\begin{lstlisting} +\tikzstyle{every axis legend}=[% + cells={anchor=center}, + inner xsep=3pt,inner ysep=2pt,nodes={inner sep=2pt,text depth=0.15em}, + anchor=north east,% + shape=rectangle,% + fill=white,% + draw=black, + at={(0.98,0.98)} + ] +\end{lstlisting} +\paragraph{Attention:} you should \emph{not reset} the default style to stay compatible with future versions. If possible, use +\begin{lstlisting} +\tikzstyle{every axis legend}+=[...] +\end{lstlisting} + + +\subsection{\texttt{\textbackslash autoplotspeclist}} +Allows to specify a list of plot specifications which will be used for each \lstinline!\addplot!-command without explicit plot specification. + +There are several possiblities to change it: +\begin{enumerate} + \item Use one of the predefined lists, +\begin{lstlisting} +\listcopy\coloredplotspeclist\to\autoplotspeclist% +\listcopy\blackwhiteplotspeclist\to\autoplotspeclist% +\end{lstlisting} + \item Define your own one, +\begin{lstlisting} +\listnew{\autoplotspeclist}{% + blue,mark=*\\% + red,mark=square\\% + dashed,mark=o\\% + loosely dotted,mark=+\\% + brown!60!black,mark options={fill=brown!40},mark=otimes*\\% +} +\end{lstlisting} + (This example list requires \lstinline!\usetikzlibrary{plotmarks}!). +\end{enumerate} +Please note that the `\lstinline!\\!' is required to separate each element. Please note that comment characters~`\%' are necessary if the elements are on different lines. + +\subsection{\texttt{\textbackslash logtologten\{ARG\}}} +Expands to the result of $\texttt{ARG}/\log(10)$. You can also use +\begin{lstlisting} +\logtologtentomacro{9.5}{\result} +\end{lstlisting} +and \lstinline!\result! will be filled with the result. + +\subsection{\texttt{\textbackslash logten}} +Expands to the constant $\log(10)$. Useful for logplots because $\log(10^i) = i\log(10)$. + +\subsection{\texttt{\textbackslash prettyprintnumber\{NUM\}}} +Allows to generate pretty--printed output for the number \texttt{NUM}. Examples: +\begin{lstlisting} +\prettyprintnumber{1.0} + +\prettyprintnumber{151.015341} + +\prettyprintnumber{90.99999} +\end{lstlisting} +results in + +\prettyprintnumber{1.0}, + +\prettyprintnumber{151.015341}, + +\prettyprintnumber{90.99999}. + +It is used to display axis ticks. The default rounding precision is defined by +\begin{lstlisting} +\def\prettyprintnumberprecision{2} +\end{lstlisting} +and can be reconfigured if needed (the highest precision is~$5$ due to \TeX's restricted numerical capabilities). + +\subsection{\texttt{\textbackslash axispreset\{key=value,key=value\}}} +Allows to define default options for any axis. For example, +\begin{lstlisting} +... +\axispreset{width=\textwidth}% +... +\begin{tikzpicture} +\begin{axis} +... +\end{axis} +\end{tikzpicture} +\end{lstlisting} +will produce a width of \lstinline!\textwidth! for any following axis. You can preset any of the \texttt{axis}-options described below. + +\subsection{Axis options} +There are several required and even more optional arguments to modify axes. They are used like +\begin{lstlisting} +\begin{tikzpicture} +\begin{axis}[key=value,key2=value2] +... +\end{axis} +\end{tikzpicture} +\end{lstlisting} +The overall appeareance can be changed with +\begin{lstlisting} +\tikzstyle{every axis}+=[line width=1pt] +\end{lstlisting} +for example. + +\subsubsection{\texttt{[xy]min=COORD}, \texttt{[xy]max=COORD}} +The options \texttt{xmin}, \texttt{xmax} and \texttt{ymin}, \texttt{ymax} allow to define the axis limits, i.e. the lower left and the upper right corner. Some remarks: +\begin{itemize} + \item The axis limits determine the plotted range. Everything else will be clipped away. + \item The width of every unit $x$-coordinate will be scaled such that the plot has width \lstinline!\axisdefaultwidth! (including the tick- and axis labels). The height of every unit $y$-coordinate will be scaled such that the plot has height \lstinline!\axisdefaultheight!. + + You can override this default behavior with the options \lstinline!width=DIMEN!, \lstinline!height=DIMEN!, \lstinline!x=DIMEN! and \lstinline!y=DIMEN!, see below. + \item If one of \lstinline!xmin! or \lstinline!xmax! is missing, the $x$-interval will be determined automatically (see \lstinline!\addplot!). The same holds true if one of \lstinline!ymin! or \lstinline!ymax! is missing: in this case, the $y$-interval will be determined automatically. + + \item The option \lstinline!enlargelimits! will automatically increase the plotted range. +\end{itemize} + +\subsubsection{\texttt{[xy]label=TEXT}} +The options \texttt{xlabel} and \texttt{ylabel} change axis labels to `\texttt{TEXT}' which is any \LaTeX\ text. Use `\lstinline!{TEXT}!' if you need grouping. + +Labels are \Tikz-Nodes which are placed with +\begin{lstlisting} +\node + [style=every axis label, + style=every axis x label] +\node + [style=every axis label, + style=every axis y label] +\end{lstlisting} +so you can reconfigure their position and appearance. As for legends, the coordinate \lstinline!(0,0)! denotes the lower left axis corner and \lstinline!(1,1)! the upper right. + +The default styles are +\begin{lstlisting} +\tikzstyle{every axis label}=[] +\tikzstyle{every axis x label}=[ + at={(0.5,0)}, + below, + yshift=-15pt] +\tikzstyle{every axis y label}=[ + at={(0,0.5)}, + xshift=-35pt, + rotate=90] +\end{lstlisting} +You should use +\begin{lstlisting} +\tikzstyle{every axis label}+=[...] +\tikzstyle{every axis x label}+=[...] +\tikzstyle{every axis y label}+=[...] +\end{lstlisting} +to modify options to ensure compatibility with future versions. + +\subsubsection{\texttt{title=TEXT}} +Adds a caption to the plot. This will place a \Tikz-Node with +\begin{lstlisting} +\node[style=every axis title] {TEXT}; +\end{lstlisting} +to the current axis. An example is shown in figure~\ref{fig:titleexample}. The title is placed in the middle of the axis (the placing does not incorporate any axis descriptions). You can reconfigure the appearance and/or placing of the title for example with +\begin{lstlisting} +\tikzstyle{every axis title}+=[at={(0.75,1)}] +\end{lstlisting} +This will place the title at~75\% of the $x$-axis. The coordinate~$(0,0)$ is the lower left corner and~$(1,1)$ the upper right one. + +Please note that using the \LaTeX\ floating figures together with \lstinline!\caption{TEXT}! may be more appropriate in many situation. However, `\texttt{title}' allows access to the axis' size without any axis descriptions which is useful if more than one plot needs a caption. +\begin{figure} + \centering + \begin{tikzpicture} + \begin{loglogaxis}[ + width=0.48\textwidth, + xlabel=Dof,ylabel=Error, + title={$\mu=0.1$, $\sigma=0.2$}] + + \addplot plot coordinates { + (5, 8.312e-02) + (17, 2.547e-02) + (49, 7.407e-03) + (129, 2.102e-03) + (321, 5.874e-04) + (769, 1.623e-04) + (1793, 4.442e-05) + (4097, 1.207e-05) + (9217, 3.261e-06) + }; + \end{loglogaxis} + \end{tikzpicture}% + \hfill + \begin{tikzpicture} + \begin{loglogaxis}[ + width=0.48\textwidth, + xlabel=Dof,ylabel=Error, + title={$\mu=1$, $\sigma=\frac{1}{2}$}] + + \addplot[color=red,mark=*] plot coordinates { + (7, 8.472e-02) + (31, 3.044e-02) + (111, 1.022e-02) + (351, 3.303e-03) + (1023, 1.039e-03) + (2815, 3.196e-04) + (7423, 9.658e-05) + (18943, 2.873e-05) + (47103, 8.437e-06) + }; + \end{loglogaxis} + \end{tikzpicture} + + \begin{lstlisting} + \begin{tikzpicture} + \begin{loglogaxis}[ + width=0.48\textwidth, + xlabel=Dof,ylabel=Error, + title={$\mu=0.1$, $\sigma=0.2$}] + + \addplot plot coordinates { + (5, 8.312e-02) + (17, 2.547e-02) + ... + (4097, 1.207e-05) + (9217, 3.261e-06) + }; + \end{loglogaxis} + \end{tikzpicture}% + \hfill + \begin{tikzpicture} + \begin{loglogaxis}[ + width=0.48\textwidth, + xlabel=Dof,ylabel=Error, + title={$\mu=1$, $\sigma=\frac{1}{2}$}] + + \addplot[color=red,mark=*] plot coordinates { + (7, 8.472e-02) + (31, 3.044e-02) + ... + (18943, 2.873e-05) + (47103, 8.437e-06) + }; + \end{loglogaxis} + \end{tikzpicture} + \end{lstlisting} + \caption{An example for the `\texttt{title}' option. Some data points have not been listed, the `\texttt{...}' is not part of the plot.} + \label{fig:titleexample} +\end{figure} + + +\subsubsection{\texttt{[xy]mode=normal$|$log}} +Allows to choose between normal plots or logplots for each $x,y$-combination. Default is \lstinline!xmode=normal!, \lstinline!ymode=normal!. + +\subsubsection{\texttt{[xy]tick=\{LIST\}}} +The options \texttt{xtick} and \texttt{ytick} assigns a list of \emph{Positions} where ticks shall be placed. The argument \texttt{LIST} will be used inside of a \lstinline!\foreach \x in {LIST}! statement, and \texttt{LIST} contains one of the following formats: +\begin{itemize} + \item \lstinline!{0,1,2,5,8}! (a series of coordinates), + \item \lstinline!{0,...,5}! (the same as \lstinline!{0,1,2,3,4,5}!), + \item \lstinline!{0,2,...,10}! (the same as \lstinline!{0,2,4,6,8,10}!), + \item \lstinline!{9,...,3.5}! (the same as \lstinline!{9, 8, 7, 6, 5, 4}!), + \item See \cite[Section~34]{tikz} for a more detailed definition of the options. + \item Use `\texttt{xtick=}' to use the default tick placement rules. + \item Use `\lstinline!xtick=\empty!' to disable any ticks. +\end{itemize} +For logplots, \PGFPlots\ will apply $\log(\cdot)$ to each element in `\texttt{LIST}'. + +\paragraph{Attention:} You can't use the `\texttt{...}' syntax if the elements are too large for \TeX! For example, `\texttt{xtick=1.5e5,2e7,3e8}' will work (because the elements are interpreted as strings, not as numbers), but `\texttt{xtick=1.5,3e5,...,1e10}' will fail because it involves real number arithmetics beyond \TeX's capacities. +\vspace*{0.3cm} + +\noindent +The default choice for tick \emph{positions} in normal plots is to place a tick at each coordinate~$i\cdot h$. The step size~$h$ depends on the axis scaling and the axis limits. It is chosen from a list a ``feasable'' step sizes such that neither too much nor too few ticks will be generated. The default for logplots it to place ticks at each $10^i$ in the axis' range. The default tick positions can be reconfigured with +\begin{itemize} + \item \lstinline!\renewcommand{\axisdefaulttickwidth}{35}! where the integer argument denotes the maximum space between adjacent ticks in full points. The suffix ``\texttt{pt}'' has to be omitted and fractional numbers are not supported. + \item \lstinline!\renewcommand{\axisdefaulttryminticks}{4}! configures a loose lower bound on the number of ticks. It should be considered as a suggestion, not a tight limit. +\end{itemize} + + +\noindent +The tick \emph{appearance} can be (re-)configured with +\begin{lstlisting} +\tikzstyle{every tick}=[very thin,gray] +\tikzstyle{every minor tick}=[] +\end{lstlisting} +or +\begin{lstlisting} +\tikzstyle{every tick}+=[very thin,gray] +\tikzstyle{every minor tick}+=[black] +\end{lstlisting} +Please prefer the `\texttt{+=}' versions to ensure compatibility with future versions. + +This style commands can be used at any time. The tick line width can be configured with the \lstinline!axis!-options `\texttt{tickwidth}' and `\texttt{subtickwidth}'. + +\subsubsection{\texttt{[xy]tickten=\{LIST\}}} +The options \texttt{xtickten} and \texttt{ytickten} allow to place ticks at selected positions $10^k, k \in \text{\texttt{LIST}}$. They are only used for logplots. The syntax for `\texttt{LIST}' is the same as above for `\texttt{xtick=LIST}' or `\texttt{ytick=LIST}'. + +\subsubsection{\texttt{[xy]ticklabels=\{LIST\}}} +Assigns a \emph{list} of tick \emph{labels} to each tick position. Tick \emph{positions} are assigned using the \texttt{xtick} and \texttt{ytick}-options. + +This is one of two options to assign tick labels directly. The other option is `\texttt{xticklabel=\{COMMAND\}}' (or \texttt{yticklabel=\{COMMAND\}}). +Option `\texttt{\*ticklabel}' offers higher flexibility while `\texttt{\*ticklabels}' is easier to use. + +The argument \texttt{LIST} has the same format as for ticks, that means +\begin{lstlisting} +xticklabels={$\frac{1}{2}$,$e$} +\end{lstlisting} +Denotes the two--element--list $\{\frac 12, e\}$. The list indices match the indices of the tick positions. If you need commas inside of list elements, use +\begin{lstlisting} +xticklabels={{0,5}, $e$}. +\end{lstlisting} + + +Example: +\begin{lstlisting} +\begin{tikzpicture} +\begin{axis}[ + xtick={-1.5,-1,...,1.5}, + xticklabels={% + $-1\frac 12$, + $-1$, + $-\frac 12$, + $0$, + $\frac 12$, + $1$} +] +\addplot[smooth,blue,mark=*] plot coordinates { + (-1, 1) + (-0.75, 0.5625) + (-0.5, 0.25) + (-0.25, 0.0625) + (0, 0) + (0.25, 0.0625) + (0.5, 0.25) + (0.75, 0.5625) + (1, 1) +}; +\end{axis} +\end{tikzpicture} +\end{lstlisting} +yields figure~\ref{fig:ticklistexample}. +\begin{figure} + \centering + \begin{tikzpicture}[baseline] + \begin{axis}[ + anchor=north east, + width=6cm, + xtick={-1.5,-1,...,1.5}, + xticklabels={% + $-1\frac 12$, + $-1$, + $-\frac 12$, + $0$, + $\frac 12$, + $1$} + ] + \addplot[smooth,blue,mark=*] plot coordinates { + (-1, 1) + (-0.75, 0.5625) + (-0.5, 0.25) + (-0.25, 0.0625) + (0, 0) + (0.25, 0.0625) + (0.5, 0.25) + (0.75, 0.5625) + (1, 1) + }; + \end{axis} + \end{tikzpicture} + \hspace{10pt}% + \begin{minipage}[t]{6cm}% + \vspace{0pt}% + \begin{lstlisting} +xtick={-1.5,-1,...,1.5}, +xticklabels={% + $-1\frac 12$, + $-1$, + $-\frac 12$, + $0$, + $\frac 12$, + $1$} + \end{lstlisting} + \end{minipage} + \caption{An example for the \texttt{xticklabels} option.} + \label{fig:ticklistexample} +\end{figure} + +\subsubsection{\texttt{[xy]ticklabel=\{COMMAND\}}} +Use \texttt{xticklabel} or \texttt{yticklabel} to change the \LaTeX-command which creates the tick \emph{labels} assigned to each tick position (see options \texttt{xtick} and \texttt{ytick}). + +This is one of two options to assign tick labels directly. The other option is `\texttt{xticklabels=\{LIST\}}' (or \texttt{yticklabels=\{LIST\}}). Option `\texttt{\*ticklabel}' offers higher flexibility while `\texttt{\*ticklabels}' is easier to use. + +The argument `\texttt{COMMAND}' can be any \LaTeX-text. The following commands are valid inside of \texttt{COMMAND}: +\begin{description} + \item[\textbackslash tick] The current element of option \lstinline!xtick! (or \lstinline!ytick!). + \item[\textbackslash ticknum] The current tick number, starting with~0 (a counter). +\end{description} +The default argument is +\begin{itemize} + \item \lstinline!\axisdefaultticklabel! for normal plots and + \item \lstinline!\axisdefaultticklabellog! for logplots, see below. +\end{itemize} +(the same holds for \lstinline!yticklabel!). The defaults are set to +\begin{lstlisting} +\newcommand{\axisdefaultticklabel}[0]{% + $\prettyprintnumber{\tick}$% +} + +\newcommand{\axisdefaultticklabellog}[0]{{% + \logtologtentomacro{\tick}{\roundedtick}% + $10^{\prettyprintnumber{\roundedtick}}$% +}} +\end{lstlisting} +You can change the appearance of tick labels with +\begin{lstlisting} +\tikzstyle{every tick label}+=[font=\tiny] +\end{lstlisting} +and/or +\begin{lstlisting} +\tikzstyle{every x tick label}+=[above] +\end{lstlisting} +and +\begin{lstlisting} +\tikzstyle{every y tick label}+=[font=\bfseries] +\end{lstlisting} + +\subsubsection{\texttt{tickpos=left$|$right$|$both}} +Allows to choose where to place the small tick lines. Default is ``\texttt{both}''. This setting applies to both $x$~and~$y$ axis where ``left'' and ``right'' mean ``bottom'' and ``top'' for~$y$. + +\subsubsection{\texttt{[xy]minorticks=true$|$false}} +\subsubsection{\texttt{[xy]majorticks=true$|$false}} +\subsubsection{\texttt{ticks=minor$|$major$|$both$|$none}} +Enables/disables the small tick lines either for single axis or for all of them. Major ticks are those placed at the tick positions and minor ticks are only used in log plots. Please note that minor ticks are automatically disabled if \texttt{xtick} is not a uniform range\footnote{A uniform list means the difference between all elements is~$1$ for normal plots or, for logplots, $\log(10)$.}. Default is to use minor and major ticks. + +You can configure the length of the tick line with `\texttt{minor tick length=DIMEN}' and `\texttt{major tick length=DIMEN}' (where DIMEN is a \TeX-length like 1cm) and its appearance using the following styles: +\begin{lstlisting} +\tikzstyle{every tick}+=[color=black] % applies to major and minor ticks, +\tikzstyle{every minor tick}+=[thin] % applies only to minor ticks, +\tikzstyle{every major tick}+=[thick] % applies only to major ticks. +\end{lstlisting} +There is also the style ``\texttt{every tick}'' which applies to both, major and minor ticks. + +\subsubsection{\texttt{major tick length=DIMEN}} +\subsubsection{\texttt{minor tick length=DIMEN}} +Allows to configure the length of the small tick lines. Minor ticks are only displayed for logarithmic plots. See option ``\texttt{ticks}'' for appearance styles for ticks. + +\subsubsection{\texttt{[xy]minorgrids=true$|$false}} +\subsubsection{\texttt{[xy]majorgrids=true$|$false}} +\subsubsection{\texttt{grid=minor$|$major$|$both$|$none}} +Enables/disables different grid lines. Major grid lines are placed at the normal tick positions (see \texttt{xmajorticks}) while minor grid lines are placed at minor ticks (see \texttt{xminorticks}). + +Grid lines will be drawn before tick lines are processed, so ticks will be drawn on top of grid lines. You can configure the appearance of grid lines with the styles +\begin{lstlisting} +\tikzstyle{every axis grid}=[style=help lines] % applies to major and minor grids, +\tikzstyle{every minor grid}+=[color=blue] % applies only to minor grid lines, +\tikzstyle{every major grid}+=[thick] % applies only to major grid lines. +\end{lstlisting} +An example for grid lines can be found in section~\ref{sec:gridlines}. + +\subsubsection{\texttt{enlargelimits=[true$|$false$|$auto$|$VAL]}} +Enlarges the axis size somewhat if enabled. + +You can set \texttt{xmin}, \texttt{xmax} and \texttt{ymin}, \texttt{ymax} to the minimum/maximum values of your data and \texttt{enlargelimits} will enlarge the canvas such that the axis doesn't touch the plots. + +\begin{itemize} + \item The value \texttt{true} enlarges all axes. + \item The value \texttt{false} uses tight axis limits as specified by the user (or read from input coordinates). + \item The value \texttt{auto} will enlarge limits only for axis for which axis limits have been determined automatically. + \item All other values like `\texttt{enlargelimits=0.1}' will enlarge all axis limits relatively (in this example, 10\% of the axis limits will be added at all sides). + \item If no relative threshold is provided, axis enlargement is done relatively to $x_\text{max}-x_\text{min}$ for normal plots and absolutely for log--plots up to now. +\end{itemize} +A small value of \texttt{enlargelimits} may avoid problems with large markers near the boundary. + +\subsubsection{\texttt{legend columns=NUMBER}} +Allows to configure the maximum number of adjacent legend entries. The default is \texttt{legend columns=1}, so legends are placed vertically below each other. Examples can be found in section~\ref{sec:legendexamples:cols}. + +\subsubsection{\texttt{legend plot pos=left$|$right$|$none}} +Configures where the small line specifications will be drawn: left of the description, right of the description or not at all. See an example in section~\ref{sec:legendexamples:plotpos}. + +\subsubsection{\texttt{disablelogfilter}} +Disables numerical evaluation of $\log(x)$ in \LaTeX. If you specify this option, any plot coordinates and tick positions must be provided as $\log(x)$ instead of $x$. This may be faster and -- possibly -- more accurate than the numerical log. The current implementation of $\log(x)$ normalizes~$x$ to $m\cdot 10^e$ and computes +\[ \log(x) = \log(m) + e \log(10) \] +where $y = \log(m)$ is computed with a newton method applied to $\exp(y) - m$. The normalization involves string parsing without \TeX-registers. You can savely evaluate $\log(1\cdot 10^{-7})$ although \TeX-registers would produce an underflow for such small numbers. + +The exponential function is implemented in pgf using a truncated Euler McLaurin--series. + +The current implementation of $\log(\cdot)$ is done by the macro \lstinline!\pgfmathlog! which is provided by package \lstinline!pgfmathlog.sty! (contained in the \PGFPlots-bundle). + +\subsubsection{\texttt{disabledatascaling}} +\label{sec:disabledatascaling}% +Disables internal re-scaling of input data. Normally, every input data like plot coordinates, tick positions or whatever, are parsed without using \TeX's limited number precision. Then, a transformation like + \[ T(x) = 10^{q-m} \cdot x \] +is applied to every input coordinate/position where $m$ is ``the order of $x$'' base~$10$. Example: $x=1234 = 1.234\cdot 10^3$ has order~$m=4$ while $x=0.001234 = 1.234\cdot 10^{-3}$ has order $m=-2$. The parameter~$q$ is the order of the axis' width/height. + +The \textbf{effect} is that your plot coordinates can be of \emph{arbitrary precision} like $0.0000001$ and $0.0000004$. For these two coordinates, \PGFPlots\ will use 100pt and 400pt internally. The transformation is quit fast since it relies only on period shifts. + +The option ``\texttt{disabledatascaling}'' disables this data transformation. That means you are restricted to coordinates which \TeX\ can handle\footnote{Please note that the axis' scaling requires to compute $1/( x_\text{max} - x_{\text{min}} )$. The option \texttt{disabledatascaling} may lead to overflow or underflow in this context, so use it with care! Normally, the data scale transformation avoids this problem.}. + +So far, the data scale transformation applies only to normal axis (logarithmic scales do not need it). + +\subsubsection{\texttt{anchor=NAME}} +This option shifts the axis horizontally and vertically such that the axis anchor (a point on the axis) is placed at coordinate $(0,0)$\footnote{I haven't understood how to implement an axis as a path command. In the future, the last path coordinate may be used in this place.}. + +\begin{itemize} + \item +Anchors are useful in conjunction with horizontal or vertical alignment of plots, see the examples in section~\ref{sec:align} and section~\ref{sec:halign}. + + \item Anchors are placed on the axis rectangle; any axis labels, titles or legends are completely unaffected. + + \item Valid choices for \texttt{NAME} are + \texttt{north}, + \texttt{north west}, + \texttt{west}, + \texttt{south west}, + \texttt{south}, + \texttt{south east}, + \texttt{east}, + \texttt{north east}, + \texttt{center}. + They denote the places + \begin{center} + \begin{tikzpicture}[x=3cm,y=3cm] + \draw (0,0) rectangle (1,1); + \node[above] at (0.5,1) {N}; + \node[above left] at (0,1) {NW}; + \node[left] at (0,0.5) {W}; + \node[below left] at (0,0) {SW}; + \node[below] at (0.5,0) {S}; + \node[below right] at (1,0) {SE}; + \node[right] at (1,0.5) {E}; + \node[above right] at (1,1) {NE}; + \node at (0.5,0.5) {C}; + \end{tikzpicture} + \end{center} + \item The default value is \texttt{anchor=south west}. + +\end{itemize} + +\subsubsection{\texttt{width=DIMEN}, \texttt{height=DIMEN}} +The axis is always scaled such that its dimension is + +{\centering\lstinline!(\axisdefaultwidth,\axisdefaultheight)!. + +}% +\noindent +The options \lstinline!width=DIMEN! and \lstinline!height=DIMEN! override the default scaling. If just one of them is specified, the other one is scaled such that the aspect ratio stays the same. + +\noindent\underline{Remarks:} +\begin{itemize} + \item The scaling only affects the width of one unit in $x$-direction or the height for one unit in $y$-direction. Axis labels and tick labels won't be resized, but their size is used to determine the axis scaling. + + \item You can use the \Tikz-\lstinline!scale=NUMBER! option, + \begin{lstlisting} + \begin{tikzpicture}[scale=2] + \begin{axis} + ... + \end{axis} + \end{tikzpicture} + \end{lstlisting} + to scale the complete picture. + + \item The \Tikz-options \lstinline!x! and \lstinline!y! which set the unit dimensions in $x$ and $y$ directions can be specified as arguments to \lstinline!\begin{axis}[x=1.5cm,y=2cm]! if needed (see below). These settings override the \lstinline!width! and \lstinline!height! options. + + \item You can also force a fixed width/height of the axis (without looking at labels) with + \begin{lstlisting} + \begin{tikzpicture} + \begin{axis}[width=5cm,scale only axis] + ... + \end{axis} + \end{tikzpicture} + \end{lstlisting} + + \item Use + \begin{lstlisting} + \renewcommand{\axisdefaultwidth}{3cm} + \renewcommand{\axisdefaultheight}{6cm} + \begin{axis} + ... + \end{axis} + \end{lstlisting} + to replace the default dimension. + + \item Please note that up to the writing of this manual, \PGFPlots\ only estimates the size needed for axis- and tick labels. It does not include legends which have been placed outside of the axis\footnote{I.e. the `\texttt{width}' option will not work as expected, but the bounding box is still ok.}. This may be fixed in future versions. + + Use the \lstinline!x=DIMEN!, \lstinline!y=DIMEN! and \lstinline!scale only axis! options if the scaling happens to be wrong. +\end{itemize} + +\subsubsection{\texttt{scale only axis=[true$|$false]}} +This boolean option allows to apply \texttt{width} and \texttt{height} only to the axis rectangle. If `\texttt{scale only axis}' is enabled, label, tick and legend dimensions won't influence the size of the axis rectangle. + +If \texttt{scale only axis=false} (the default), \PGFPlots\ will try to produce the desired width \emph{including} labels, titles and ticks. + +\subsubsection{\texttt{x=DIMEN}, \texttt{y=DIMEN}} +Use + \begin{lstlisting} + \begin{tikzpicture} + \begin{axis}[x=1.5cm,...] + ... + \end{axis} + \end{tikzpicture} + \end{lstlisting} + to set the unit size for one $x$-coordinate to 1.5cm. The same is possible for the $y$-coordinate. + + Setting $x$ explicitly overrides the \lstinline!width! option. Setting $y$ explicitly overrides the \lstinline!height! option. + + Please note that it is \emph{not} possible to specify \lstinline!x! as argument to \lstinline!tikzpicture!. The option + \begin{lstlisting} + \begin{tikzpicture}[x=1.5cm] + \begin{axis} + ... + \end{axis} + \end{tikzpicture} + \end{lstlisting} + won't have any effect because an axis is always scale to the final size + + {\centering\lstinline!(\axisdefaultwidth,\axisdefaultheight)! + + }% + \noindent + (see the \lstinline!width! option). + +\subsubsection{\texttt{hide axis=[true$|$false]}} +Allows to hide the axis. No outer rectangle, no tick marks and no labels will be drawn. Only titles and legends will be processed as usual. + +Axis scaling and clipping will be done as if you did not use \texttt{hide axis}. + +\subsubsection{\texttt{[xy]filter=CMD}} +The option \texttt{xfilter} and \texttt{yfilter} allow coordinate filtering. A coordinate filter maps an input coordinate to an output coordinate (or discards it completely). + +Coordinate filters are useful in automatic processing system, where \PGFPlots\ is used to display automatically generated plots. You may not want to filter your coordinates by hand, so these options provide a tool to do this automatically. + +Be warned: `\texttt{xfilter}' and `\texttt{yfilter}' are advanced options and may require advanced knowledge about \TeX. + +They are used as in the following example. The code +\begin{lstlisting} +\def\myOwnXfilter#1\to#2{% + \def#2{0.5}% +}% +\begin{tikzpicture} +\begin{axis}[xfilter={\myOwnXfilter}] +\addplot plot coordinates { + (4,0) + (6,1) +}; +\end{axis} +\end{tikzpicture} +\end{lstlisting} +will result in +\begin{center} +{% +\def\myOwnXfilter#1\to#2{% + \def#2{0.5}% +}% +\begin{tikzpicture} +\begin{axis}[xfilter={\myOwnXfilter}] +\addplot plot coordinates { + (4,0) + (6,1) +}; +\end{axis} +\end{tikzpicture} +}% +\end{center} +because all $x$-coordinates are replaced by~$0.5$. + +The Argument `\texttt{CMD}' is the name of a \TeX-macro which takes exactly two arguments which are separated by the string `\texttt{\string\to}'. Such a macro is defined as +\begin{lstlisting} +\def\exampleFilter#1\to#2{% + \def#2{#1}% +}% +\end{lstlisting} +This example uses the \TeX-command \lstinline!\def! to define variables and commands. The arguments are used as follows: +\begin{itemize} + \item \PGFPlots\ invokes the filter with argument \texttt{\#1} set to the input coordinate. For $x$-filters, this is the $x$-coordinate as it is specified to \lstinline!\addplot!, for $y$-filters it is the $y$-coordinate. + \item If the corresponding axis is logarithmic, \texttt{\#1} is the \emph{logarithm} of the coordinate as a real number, for example \texttt{\#1=4.2341}. + \item The arguments to coordinate filters are not transformed. You may need to call coordinate parsing routines. + \item Argument \texttt{\#2} is the name of a \TeX\ command. The filter should assign this command. The first filter above assigned the constant~$0.5$ and the second filter did not filter anything because it is the identity. + + The replacement text of \texttt{\#2} is expected to be \emph{either} empty \emph{or} a real number (without any length-suffix like `cm' or `pt'). If it is empty, the coordinate won't be drawn at all, it will be thrown away. +\end{itemize} + +\subsection{\texttt{execute at begin plot=COMMANDS}} +This axis option allows to invoke `\texttt{COMMANDS}' at the beginning of each \lstinline!\addplot! command. The argument `\texttt{COMMANDS}' can be any \LaTeX\ content. + +You may use this in conjunction with \texttt{xfilter=...} to reset any counters or whatever. An example would be to change every 4th coordinate. + +\subsection{\texttt{execute at end plot=COMMANDS}} +This axis option allows to invoke `\texttt{COMMANDS}' after each \lstinline!\addplot! command. The argument `\texttt{COMMANDS}' can be any \LaTeX\ content. diff --git a/Master/texmf-dist/doc/latex/pgfplots/pgfplots.tex b/Master/texmf-dist/doc/latex/pgfplots/pgfplots.tex new file mode 100644 index 00000000000..2feb78a99bd --- /dev/null +++ b/Master/texmf-dist/doc/latex/pgfplots/pgfplots.tex @@ -0,0 +1,118 @@ +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% +% Package pgfplots.sty documentation. +% +% Copyright 2007/2008 by Christian Feuersaenger. +% +% This program is free software: you can redistribute it and/or modify +% it under the terms of the GNU General Public License as published by +% the Free Software Foundation, either version 3 of the License, or +% (at your option) any later version. +% +% This program is distributed in the hope that it will be useful, +% but WITHOUT ANY WARRANTY; without even the implied warranty of +% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +% GNU General Public License for more details. +% +% You should have received a copy of the GNU General Public License +% along with this program. If not, see . +% +% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\documentclass[a4paper]{article} + +\usepackage{ifpdf} +\ifpdf + \usepackage[pdftex]{hyperref} +\else + \usepackage[dvipdfm]{hyperref} +\fi +% \usepackage{graphicx} +\usepackage[intlimits]{amsmath} +\usepackage{amssymb} +\usepackage{amsfonts} + +\newcommand{\R}{\mathbb{R}} +\newcommand{\N}{\mathbb{N}} +\newcommand{\Z}{\mathbb{Z}} + +\usepackage{listings} +\usepackage{courier} +\lstset{% + basicstyle=\ttfamily, + language=[LaTeX]tex, % Seems as if \lstset{language=tex} must be invoked BEFORE loading tikz!? + tabsize=4, + breaklines=true, + breakindent=0pt +} + +\ifpdf + \pdfinfo { + /Author (Christian Feuersaenger) + } + +\else + \def\pgfsysdriver{pgfsys-dvipdfm.def} +\fi +%\def\pgfsysdriver{pgfsys-pdftex.def} +\usepackage{pgfplots} + +\newcommand{\FIXME}[1]{\textcolor{red}{(FIXME: #1)}} + +% fuer endvironment 'sidewaysfigure' bspw +% \usepackage{rotating} + +\newcommand\Tikz{Ti\textit kZ} +\newcommand\PGF{PGF} +\newcommand\PGFPlots{Pgfplots} + +% Fix overful hboxes automatically: +\tolerance=2000 +\emergencystretch=10pt + + +\author{% + Christian Feuers\"anger\footnote{\url{http://wissrech.ins.uni-bonn.de/people/feuersaenger}}\\% + Institut f\"ur Numerische Simulation\\ + Universit\"at Bonn, Germany} +\title{Manual for Package \PGFPlots\\{\small Version \pgfplotsversion}} + +\begin{document} +\maketitle +\begin{abstract}% +\PGFPlots\ draws high--quality function plots in normal or logarithmic scaling with a user-friendly interface. The user supplies axis labels, legend entries and the plot coordinates for one or more plots and \PGFPlots\ applies axis scaling, computes any logarithms and axis ticks and draws the plots. It is based on Till Tantau's package \PGF/\Tikz. +\end{abstract} +\tableofcontents +\section{Introduction} +This package provides tools to generate plots and labeled axes easily. It draws normal plots, logplots and semi-logplots. Axis ticks, labels, legends (in case of multiple plots) can be added with key-value options. It can cycle through a set of predefined line/marker/color specifications. In summary, its purpose is to simplify the generation of high-quality function plots, especially for use in scientific contexts (logplots). + +It is build completely on \Tikz\ and \PGF\ and may be used as \Tikz\ library. + +\section{Upgrade remarks} +This release provides a lot of improvements which can be found in all detail in ``\texttt{changelog.txt}'' for interested readers. However, some attention is required for upgrades: +\begin{enumerate} + \item I have re-implemented legends as \Tikz-matrizes and the default legend styles have been changed accordingly. + + Please \emph{replace} + \begin{lstlisting} +\tikzstyle{every axis legend}=[...] + \end{lstlisting} + \emph{with} +\begin{lstlisting} +\tikzstyle{every axis legend}+=[...]. +\end{lstlisting} + + \item Update each \lstinline!\axispath...! command in your files. You will need to use \lstinline!axis cs! as coordinate system to apply any axis transformations. See sections~\ref{sec:axispath} and~\ref{sec:axis:coords} for details. + + \item The manual file name has been renamed. +\end{enumerate} + +\input{pgfplots.install.tex}% +\input{pgfplots.intro.tex}% +\input{pgfplots.reference.tex}% +\input{pgfplots.examples.tex}% +\input{pgfplots.importexport.tex}% + +\bibliographystyle{abbrv} %gerapali} %gerabbrv} %gerunsrt.bst} %gerabbrv}% gerplain} +\bibliography{pgfplots.bib} +\end{document} diff --git a/Master/texmf-dist/doc/latex/pgfplots/pgfplotstest.tex b/Master/texmf-dist/doc/latex/pgfplots/pgfplotstest.tex index 6a55a787b42..4fb394c5450 100644 --- a/Master/texmf-dist/doc/latex/pgfplots/pgfplotstest.tex +++ b/Master/texmf-dist/doc/latex/pgfplots/pgfplotstest.tex @@ -26,6 +26,12 @@ %\def\pgfsysdriver{pgfsys-pdftex.def} \usepackage{pgfplots} +\pgfrealjobname{pgfplotstest} + +\def\testsection#1{\message{STARTING TEST SECTION '#1'}\section{#1}} +\def\testsubsection#1{\message{STARTING TEST SUBSECTION '#1'}\subsection{#1}} +\def\testsubsubsection#1{\message{STARTING TEST SUBSUBSECTION '#1'}\subsubsection{#1}} + \def\smallplotstest{% \addplot[smooth,blue,mark=*] plot coordinates { (-1, 1) @@ -68,36 +74,316 @@ \addlegendentry{$d=3$} }% +\def\manylogplots{% + \addplot plot coordinates { + (5, 8.312e-02) + (17, 2.547e-02) + (49, 7.407e-03) + (129, 2.102e-03) + (321, 5.874e-04) + (769, 1.623e-04) + (1793, 4.442e-05) + (4097, 1.207e-05) + (9217, 3.261e-06) + }; + + \addplot plot coordinates { + (7, 8.472e-02) + (31, 3.044e-02) + (111, 1.022e-02) + (351, 3.303e-03) + (1023, 1.039e-03) + (2815, 3.196e-04) + (7423, 9.658e-05) + (18943, 2.873e-05) + (47103, 8.437e-06) + }; + + \addplot plot coordinates { + (9, 7.881e-02) + (49, 3.243e-02) + (209, 1.232e-02) + (769, 4.454e-03) + (2561, 1.551e-03) + (7937, 5.236e-04) + (23297, 1.723e-04) + (65537, 5.545e-05) + (178177, 1.751e-05) + }; + + \addplot plot coordinates { + (11, 6.887e-02) + (71, 3.177e-02) + (351, 1.341e-02) + (1471, 5.334e-03) + (5503, 2.027e-03) + (18943, 7.415e-04) + (61183, 2.628e-04) + (187903, 9.063e-05) + (553983, 3.053e-05) + }; + + \addplot plot coordinates { + (13, 5.755e-02) + (97, 2.925e-02) + (545, 1.351e-02) + (2561, 5.842e-03) + (10625, 2.397e-03) + (40193, 9.414e-04) + (141569, 3.564e-04) + (471041, 1.308e-04) + (1496065, 4.670e-05) + }; + \legend{$d=2$\\$d=3$\\$d=4$\\$d=5$\\$d=6$\\} +}% + \author{Christian Feuers\"anger} \title{Tests for pgfplots.sty} \begin{document} \maketitle +\testsection{Standard placement normal plot} \begin{tikzpicture} \begin{axis} \smallplotstest \end{axis} \end{tikzpicture} +\testsection{Scaling tests} +\testsubsection{width=5cm} \begin{tikzpicture} \begin{axis}[width=5cm] \smallplotstest \end{axis} \end{tikzpicture} +\testsubsection{width=textwidth} \begin{tikzpicture} \begin{axis}[width=\textwidth] \smallplotstest \end{axis} \end{tikzpicture} +\testsubsection{width=textwidth, height=textheight} \begin{tikzpicture} \begin{axis}[height=\textheight,width=\textwidth] \smallplotstest \end{axis} \end{tikzpicture} +\testsubsection{height=3cm} +\begin{tikzpicture} +\begin{axis}[height=3cm] +\smallplotstest +\end{axis} +\end{tikzpicture} + +\testsubsection{x=3cm} +\hrule width3cm height1pt +\vskip10pt +\begin{tikzpicture}[baseline] +\begin{axis}[x=3cm] +\smallplotstest +\end{axis} +\end{tikzpicture} + +\testsubsection{x=3cm, y=4cm} +\hrule width3cm height1pt +\noindent +\vrule height4cm width1pt +\hskip10pt +\begin{tikzpicture}[baseline] +\begin{axis}[x=3cm,y=4cm] +\smallplotstest +\end{axis} +\end{tikzpicture} + +\testsubsection{y=3cm} +\noindent +\vrule height3cm width1pt +\hskip10pt +\begin{tikzpicture}[baseline] +\begin{axis}[y=3cm] +\smallplotstest +\end{axis} +\end{tikzpicture} + +\testsubsection{Scale vs. Datascale trafo} +All should have the same size; especially the same height. +This tests the data scale transformation and rounding inaccuracies during the computation of $x$~and~$y$ unit vectors, +\[ x = \frac{W}{T(\bar x) - T(\underline x)}. \] +The larger $x$, the higher the scaling accuracy. Large $x$ means small $T(\bar x) - T(\underline x)$ (relative to width~$W$). But this implies low accuracy for the input data! And nobody wants inaccurate plots. + +The datascale transformation~$T$ is set up such that $O(W) = O(x)$, but I am not sure if I need to adjust some parameters. Some parameters lead to inaccurate~$x$ and~$y$ vectors, such that axis sizes are \emph{not} the same although $W$~and~$H$ (width and height) are the same. + +\noindent +{\tikzstyle{every picture}+=[baseline] +\axispreset{width=3cm,scale only axis,ytick=\empty}% +\listnew\autoplotspeclist{blue\\}% +\begin{tikzpicture}% +\begin{axis} +\addplot plot coordinates { + (0.000000, 0.113142) + (0.062500, 0.114457) + (0.125000, 0.115773) + (0.187500, 0.117088) + (0.250000, 0.118404) + (0.312500, 0.119719) + (0.375000, 0.121035) + (0.437500, 0.122350) + (0.500000, 0.123666) + (0.562500, 0.124981) + (0.625000, 0.126297) + (0.687500, 0.127612) + (0.750000, 0.128928) + (0.812500, 0.130243) + (0.875000, 0.131559) + (0.937500, 0.132874) + (1.000000, 0.134190) +}; +\end{axis} +\end{tikzpicture}% +\begin{tikzpicture}% +\begin{axis} +\addplot plot coordinates { + (0.000000, 0.192392) + (0.020408, 0.551660) + (0.040816, 0.816371) + (0.061224, 0.957528) + (0.081633, 0.936301) + (0.102041, 0.784097) + (0.122449, 0.539922) + (0.142857, 0.257432) + (0.163265, -0.039651) + (0.183673, -0.313379) + (0.204082, -0.533386) + (0.224490, -0.712582) + (0.244898, -0.856655) + (0.265306, -0.932880) + (0.285714, -0.953862) + (0.306122, -0.957749) + (0.326531, -0.890993) + (0.346939, -0.774152) + (0.367347, -0.602360) + (0.387755, -0.396801) + (0.408163, -0.132261) + (0.428571, 0.161664) + (0.448980, 0.460018) + (0.469388, 0.720198) + (0.489796, 0.880398) + (0.510204, 0.967384) + (0.530612, 0.900632) + (0.551020, 0.729232) + (0.571429, 0.460479) + (0.591837, 0.155311) + (0.612245, -0.153827) + (0.632653, -0.430787) + (0.653061, -0.653561) + (0.673469, -0.819444) + (0.693878, -0.931060) + (0.714286, -0.984394) + (0.734694, -0.981970) + (0.755102, -0.940272) + (0.775510, -0.825804) + (0.795918, -0.664138) + (0.816327, -0.465371) + (0.836735, -0.219185) + (0.857143, 0.070697) + (0.877551, 0.377456) + (0.897959, 0.658660) + (0.918367, 0.853564) + (0.938776, 0.925472) + (0.959184, 0.868936) + (0.979592, 0.629528) + (1.000000, 0.228732) +}; +\end{axis} +\end{tikzpicture}% +\begin{tikzpicture}% +\begin{axis} + +\addplot plot coordinates { + (0.000000, 0.112104) + (0.062500, 0.098029) + (0.125000, 0.083954) + (0.187500, 0.069879) + (0.250000, 0.055804) + (0.312500, 0.041729) + (0.375000, 0.027654) + (0.437500, 0.013579) + (0.500000, -0.000496) + (0.562500, -0.014571) + (0.625000, -0.028646) + (0.687500, -0.042722) + (0.750000, -0.056797) + (0.812500, -0.070872) + (0.875000, -0.084947) + (0.937500, -0.099022) + (1.000000, -0.113097) +}; +\end{axis} +\end{tikzpicture}% +\begin{tikzpicture}% +\begin{axis} +\addplot plot coordinates { + (0.000000, -0.963159) + (0.020408, -0.781664) + (0.040816, -0.488585) + (0.061224, -0.137738) + (0.081633, 0.234861) + (0.102041, 0.556489) + (0.122449, 0.791942) + (0.142857, 0.941856) + (0.163265, 0.977486) + (0.183673, 0.930499) + (0.204082, 0.809581) + (0.224490, 0.653308) + (0.244898, 0.474588) + (0.265306, 0.268631) + (0.285714, 0.048692) + (0.306122, -0.168568) + (0.326531, -0.380963) + (0.346939, -0.577633) + (0.367347, -0.751043) + (0.387755, -0.893755) + (0.408163, -0.960465) + (0.428571, -0.932380) + (0.448980, -0.841830) + (0.469388, -0.650880) + (0.489796, -0.346509) + (0.510204, -0.007265) + (0.530612, 0.329744) + (0.551020, 0.621489) + (0.571429, 0.826905) + (0.591837, 0.947602) + (0.612245, 0.956706) + (0.632653, 0.872426) + (0.653061, 0.724325) + (0.673469, 0.528915) + (0.693878, 0.310032) + (0.714286, 0.081807) + (0.734694, -0.143046) + (0.755102, -0.363063) + (0.775510, -0.559141) + (0.795918, -0.733031) + (0.816327, -0.880063) + (0.836735, -0.959350) + (0.857143, -0.968957) + (0.877551, -0.885145) + (0.897959, -0.702171) + (0.918367, -0.410704) + (0.938776, -0.035900) + (0.959184, 0.359062) + (0.979592, 0.719407) + (1.000000, 0.940563) +}; +\end{axis} +\end{tikzpicture}% +} + + +\testsection{Tick placement} \begin{tikzpicture} \begin{axis}[ xtick={-1.5,-1,...,1.5}, @@ -115,8 +401,10 @@ \end{axis} \end{tikzpicture} +\testsubsection{Enlargelimits tests} +\testsubsubsection{enlargelimits=false, x limits provided} \begin{tikzpicture} -\begin{axis}[ +\begin{axis}[% enlargelimits=false, xmin=0,xmax=1, xtick={-1.5,-1.25,...,1.5}] @@ -124,6 +412,29 @@ \end{axis} \end{tikzpicture} +\testsubsubsection{enlargelimits=false, no limits provided} +\begin{tikzpicture} +\begin{axis}[enlargelimits=false] +\smallplotstest +\end{axis} +\end{tikzpicture} + +\testsubsubsection{enlargelimits=true, all limits provided $[-1,1]\times [-1,1]$} +\begin{tikzpicture} +\begin{axis}[enlargelimits=true,xmin=-1,xmax=1,ymin=-1,ymax=1] +\smallplotstest +\end{axis} +\end{tikzpicture} + +\testsubsubsection{enlargelimits=0.5} +\begin{tikzpicture} +\begin{axis}[enlargelimits=0.5] +\smallplotstest +\end{axis} +\end{tikzpicture} + +\testsubsection{modified labels} + { \tikzstyle{every axis label}=[] \tikzstyle{every axis x label}=[ @@ -132,7 +443,7 @@ yshift=+15pt] \tikzstyle{every axis y label}=[ at={(1,0.5)}, - xshift=+15pt, + xshift=+35pt, rotate=90] \begin{tikzpicture} @@ -158,6 +469,8 @@ \end{axis} \end{tikzpicture} +\testsection{Tick label assigment tests} +\testsubsection{Using xticklabel and xtick} \begin{tikzpicture} \begin{axis}[ xtick={-1.5,-1,...,1.5}, @@ -177,12 +490,99 @@ \end{axis} \end{tikzpicture} +\testsubsection{Using xticklabels}% +\begin{tikzpicture} +\begin{axis}[ + xtick={-1.5,-1,...,1.5}, + xticklabels={% + $-1\frac 12$, + $-1$, + $-\frac 12$, + $0$, + $\frac 12$, + $1$} +] +\smallplotstest +\end{axis} +\end{tikzpicture} + +\testsubsection{With commas} +\begin{tikzpicture} +\begin{axis}[ + xtick={-1.5,-1,...,1.5}, + xticklabels={% + {-1,5}, + -1, + {-0,5}, + 0, + {0,5}, + 1, + {1,5}} +] +\smallplotstest +\end{axis} +\end{tikzpicture} + +\testsubsection{Using yticklabels in logplot}% +{ +\def\tickformat#1{1e#1}% +\begin{tikzpicture} +\begin{loglogaxis}[ + ytick={1e-8,1e-7,1e-6,1e-5,1e-4,1e-3,1e-2,1e-1,1e0,1e1}, + yticklabels={% + \tickformat{-8}, + \tickformat{-7}, + \tickformat{-6}, + \tickformat{-5}, + \tickformat{-4}, + \tickformat{-3}, + \tickformat{-2}, + \tickformat{-1}, + \tickformat{-0}} +] +\loglogtestplot +\end{loglogaxis} +\end{tikzpicture} +} + +\testsection{Default options log plot} \begin{tikzpicture} \begin{loglogaxis} \loglogtestplot \end{loglogaxis} \end{tikzpicture} +\testsection{Semilogy plot} +\begin{tikzpicture} + \begin{semilogyaxis}[xlabel=Index,ylabel=Value] + \addplot[color=blue,mark=*] plot coordinates { + (1,8) + (2,16) + (3,32) + (4,64) + (5,128) + (6,256) + (7,512) + }; + \end{semilogyaxis} +\end{tikzpicture} + +\testsection{Semilogx plot} +\begin{tikzpicture} + \begin{semilogxaxis}[xlabel=Index,ylabel=Value] + \addplot[color=blue,mark=*] plot coordinates { + (8,1) + (16,2) + (32,3) + (64,4) + (128,5) + (256,6) + (512,7) + }; + \end{semilogxaxis} +\end{tikzpicture} + +\testsection{Scaling log plots} \hrule \nobreak \vskip10pt @@ -206,6 +606,7 @@ \end{loglogaxis} \end{tikzpicture} +\testsection{Tick/Tick-Label placement log plots} \begin{tikzpicture} \begin{loglogaxis}[ xmin=0.99e2,xmax=1e4, @@ -222,13 +623,486 @@ \end{loglogaxis} \end{tikzpicture} +\testsection{Legends} +\begingroup \begin{tikzpicture} \begin{loglogaxis}[title=A test title,xlabel=Dof,ylabel=Error] \loglogtestplot +\legend{Eins\\Zwei\\}% \end{loglogaxis} \end{tikzpicture} -\bibliographystyle{gerabbrv} %gerapali} %gerabbrv} %gerunsrt.bst} %gerabbrv}% gerplain} -% \bibliography{literatur.bib} -\end{document} +\begin{tikzpicture} +\begin{loglogaxis}[title=A test title,xlabel=Dof,ylabel=Error,legend columns=2] +\manylogplots +\end{loglogaxis} +\end{tikzpicture} + +\begin{tikzpicture} +\begin{loglogaxis}[title=A test title,xlabel=Dof,ylabel=Error,legend columns=3] +\manylogplots +\end{loglogaxis} +\end{tikzpicture} + +{ +\tikzstyle{every axis legend}+=[inner sep=0pt,nodes={inner sep=0pt}] +\begin{tikzpicture} +\begin{loglogaxis}[title=A test title,xlabel=Dof,ylabel=Error,legend columns=4] +\manylogplots +\end{loglogaxis} +\end{tikzpicture} +} + +{\tikzstyle{every axis legend}+=[at={(0.5,-0.2)},anchor=north] +\begin{tikzpicture} +\begin{loglogaxis}[title=A test title,xlabel=Dof,ylabel=Error,legend columns=6] +\manylogplots +\end{loglogaxis} +\end{tikzpicture} +}% + +{\tikzstyle{every axis legend}+=[at={(0.5,0.98)},anchor=north,inner sep=0pt] +\begin{tikzpicture} +\begin{loglogaxis}[title=A test title,xlabel=Dof,ylabel=Error,legend columns=-1] +\manylogplots +\end{loglogaxis} +\end{tikzpicture} +}% + +\testsubsection{``legend plot pos'' options} +\begin{tikzpicture} +\begin{loglogaxis}[title=A test title,xlabel=Dof,ylabel=Error,legend plot pos=left] +\manylogplots +\end{loglogaxis} +\end{tikzpicture} + +\begin{tikzpicture} +\begin{loglogaxis}[title=A test title,xlabel=Dof,ylabel=Error,legend plot pos=right] +\manylogplots +\end{loglogaxis} +\end{tikzpicture} + +\begin{tikzpicture} +\begin{loglogaxis}[title=A test title,xlabel=Dof,ylabel=Error,legend plot pos=none] +\manylogplots +\end{loglogaxis} +\end{tikzpicture} +\endgroup + +\testsection{Title-option} +\begin{tikzpicture} +\begin{loglogaxis}[title=A test title,xlabel=Dof,ylabel=Error] +\loglogtestplot +\end{loglogaxis} +\end{tikzpicture} + +\testsection{Scaling test for very small or very large x values} +\testsubsection{1e-2} +\begin{tikzpicture} +\begin{axis} + \addplot plot coordinates { + (0.005,1) + (0.01,2) + (0.02,4) + }; +\end{axis} +\end{tikzpicture} + +\testsubsection{1e+2} +% \tracingmacros=2\tracingcommands=2 +\begin{tikzpicture} +\begin{axis} + \addplot plot coordinates { + (50,1) + (100,2) + (200,4) + }; +\end{axis} +\end{tikzpicture} +% \tracingmacros=0\tracingcommands=0 + +\testsubsection{x=1e+11; y=1e-6} +\begin{tikzpicture} +\begin{axis} + \addplot plot coordinates { + (5e10,1e-6) + (1e11,2e-6) + (2e11,4e-6) + }; +\end{axis} +\end{tikzpicture} + +\testsubsection{1e+2} +\begin{tikzpicture} +\begin{axis} + \addplot plot coordinates { + (5,1) + (10,2) + (20,4) + }; +\end{axis} +\end{tikzpicture} + +\testsection{Filter test} +{% +\def\myOwnYfilter#1\to#2{% + \def#2{0.5}% +}% +\begin{tikzpicture} +\begin{axis}[yfilter={\myOwnYfilter}] +\addplot plot coordinates { + (4,0) + (6,1) +}; +\end{axis} +\end{tikzpicture} +}% + +\testsection{Test for addplot+[...]} +{ +\tikzstyle{every axis legend}+=[at={(1.03,1)},anchor=north west] +\begin{enumerate} + \item Ohne aenderung: + +\begin{tikzpicture} +\begin{axis} +\smallplotstest + +\addplot plot coordinates { + (4,0) + (6,1) +}; +\legend{eins\\zwei\\}% +\end{axis} +\end{tikzpicture} + +\item MIT aenderung: + +\begin{tikzpicture} +\begin{axis} +\smallplotstest + +\addplot+[only marks] plot coordinates { + (4,0) + (6,1) +}; +\legend{eins\\zwei\\}% +\end{axis} +\end{tikzpicture} +\end{enumerate} +} + +\testsection{Baseline alignment} +\noindent +\begin{tikzpicture}[baseline] +\begin{axis}[width=0.4\linewidth,xlabel=An x label] + \smallplotstest +\end{axis} +\end{tikzpicture} +\hspace{1cm} +\begin{tikzpicture}[baseline] +\begin{axis}[width=0.4\linewidth,xlabel={\Huge An x label}] + \smallplotstest +\end{axis} +\end{tikzpicture} + +\testsubsection{Baseline alignment and externalized graphics} +One needs \texttt{\textbackslash beginpgfgraphicnamed} around the complete paragraph, so this here doesn't work (see source code): + +\beginpgfgraphicnamed{baselinetesta} +\begin{tikzpicture}[baseline] +\begin{axis}[width=0.4\linewidth,xlabel=An x label] + \smallplotstest +\end{axis} +\end{tikzpicture} +\endpgfgraphicnamed +% +% +\hspace{1cm} +\beginpgfgraphicnamed{baselinetestb} +\begin{tikzpicture}[baseline] +\begin{axis}[width=0.4\linewidth,xlabel={\Huge An x label}] + \smallplotstest +\end{axis} +\end{tikzpicture} +\endpgfgraphicnamed + +\testsubsection{Baseline alignment and externalized graphics II} +\beginpgfgraphicnamed{baselinetestc} +\begin{tikzpicture}[baseline] +\begin{axis}[width=0.4\linewidth,xlabel=An x label] + \smallplotstest +\end{axis} +\end{tikzpicture} +% +% +\hspace{1cm} +\begin{tikzpicture}[baseline] +\begin{axis}[width=0.4\linewidth,xlabel={\Huge An x label}] + \smallplotstest +\end{axis} +\end{tikzpicture} +\endpgfgraphicnamed + +\testsubsection{Horizontal and Vertical alignment} +\begin{tikzpicture}[baseline] +\begin{axis}[width=0.4\linewidth,xlabel=An x label,ylabel=An y label] + \smallplotstest +\end{axis} + +\begin{scope}[yshift=-4cm] +\begin{axis}[width=0.4\linewidth,xlabel=An x label,ylabel={$\displaystyle\sum_{k=1}^n \frac 1n$}] + \smallplotstest +\end{axis} +\end{scope} + +\node[fill=yellow,circle] at (0,0) {$(0,0)$}; +\end{tikzpicture} +% +% +\hspace{1cm} +\begin{tikzpicture}[baseline] +\begin{axis}[width=0.4\linewidth,xlabel={\Huge An x label}] + \smallplotstest +\end{axis} + +\begin{scope}[yshift=-4cm] +\begin{axis}[width=0.4\linewidth,xlabel={\Huge An x label},ylabel={$\displaystyle\sum_{k=1}^n \frac 1n$}] + \smallplotstest +\end{axis} +\end{scope} +\node[fill=yellow,circle] at (0,0) {$(0,0)$}; +\end{tikzpicture} + +\testsection{Scaletest} + +{ +\listnew{\autoplotspeclist}{% + red,only marks,mark options={fill=red!80!black},mark=*\\% + black,only marks,mark options={fill=black},mark=square*\\% +}% +\begin{tikzpicture} +\begin{axis}[% + width=8cm, + height=2cm, + xtick=\empty, + ytick=\empty +] + +\addplot plot coordinates { + (0.968555, 0.000000) + (0.984277, 0.000000) + (0.030884, 0.000000) + (0.250000, 0.000000) + (0.750000, 0.000000) + (0.468750, 0.000000) + (0.750000, 0.000000) + (0.484375, 0.000000) + (0.968555, 0.000000) + (0.968555, 0.000000) + (1.000000, 0.000000) + (1.000000, 0.000000) + (0.030176, 0.000000) + (0.250000, 0.000000) + (0.250000, 0.000000) + (0.250000, 0.000000) + (0.750000, 0.000000) + (1.000000, 0.000000) + (0.500000, 0.000000) + (0.500000, 0.000000) + (0.234375, 0.000000) + (0.500000, 0.000000) + (0.750000, 0.000000) + (0.000000, 0.000000) + (0.750000, 0.000000) + (0.468750, 0.000000) + (0.500000, 0.000000) + (0.000000, 0.000000) + (0.468750, 0.000000) + (0.000000, 0.000000) + (0.750000, 0.000000) + (0.000000, 0.000000) + (0.234375, 0.000000) + (1.000000, 0.000000) +}; +\addplot plot coordinates { + (0.367188, 0.000000) + (0.625000, 0.000000) + (0.312500, 0.000000) + (0.656250, 0.000000) + (0.312500, 0.000000) + (0.148438, 0.000000) + (0.125000, 0.000000) + (0.640625, 0.000000) + (0.136719, 0.000000) + (0.875000, 0.000000) + (0.390625, 0.000000) + (0.828125, 0.000000) + (0.875000, 0.000000) + (0.656250, 0.000000) + (0.125000, 0.000000) + (0.343750, 0.000000) + (0.861328, 0.000000) + (0.312500, 0.000000) + (0.578125, 0.000000) + (0.578125, 0.000000) + (0.625000, 0.000000) + (0.375000, 0.000000) + (0.875000, 0.000000) + (0.812500, 0.000000) + (0.847656, 0.000000) + (0.589844, 0.000000) + (0.343750, 0.000000) + (0.125000, 0.000000) + (0.875000, 0.000000) + (0.125000, 0.000000) + (0.609375, 0.000000) + (0.156250, 0.000000) +}; +\end{axis} +\end{tikzpicture} +} + +\testsection{Anchortest} +{ +\def\plot#1{ +\vbox{\hsize=5cm +#1: + +\begin{tikzpicture} + \begin{axis}[width=5cm,anchor=#1] + \smallplotstest + \end{axis} + \node[fill=yellow,circle] at (0,0) {$(0,0)$}; +\end{tikzpicture} +} +}% +\noindent +\plot{north} +\plot{north west} +\plot{west} +\plot{south west} +\plot{south} +\plot{south east} +\plot{east} +\plot{north east} +\plot{center} +} + +\testsection{Hide axis test} +\begin{tikzpicture} + \begin{axis} + \smallplotstest + \end{axis} +\end{tikzpicture} +\begin{tikzpicture} + \begin{axis}[hide axis] + \smallplotstest + \end{axis} +\end{tikzpicture} +\vskip 1cm +\noindent +\begin{tikzpicture} + \begin{axis}[hide axis,title=A plot with hidden axis] + \smallplotstest + \end{axis} +\end{tikzpicture} +\begin{tikzpicture} + \begin{axis}[hide axis,title=A plot with hidden axis] + \smallplotstest + \legend{A legend\\} + \end{axis} +\end{tikzpicture} + +\testsection{Style--test} +{ +%\tikzstyle{every axis}=[xmin=-3,xmax=3] +\begin{tikzpicture} + \begin{axis} + \smallplotstest + \end{axis} +\end{tikzpicture} +} + +\testsection{Grid lines test} +\begin{tikzpicture} + \begin{axis}[xmajorgrids] + \smallplotstest + \end{axis} +\end{tikzpicture} + +\begin{tikzpicture} + \begin{axis}[ymajorgrids,xmajorgrids] + \smallplotstest + \end{axis} +\end{tikzpicture} + +\begin{tikzpicture} + \begin{loglogaxis}[ymajorgrids,xmajorgrids] + \loglogtestplot + \end{loglogaxis} +\end{tikzpicture} + +\begin{tikzpicture} + \begin{loglogaxis}[grid=both] + \loglogtestplot + \end{loglogaxis} +\end{tikzpicture} + +{ +\tikzstyle{every major tick}+=[color=black,thick] +\begin{tikzpicture} + \begin{loglogaxis}[grid=major] + \loglogtestplot + \end{loglogaxis} +\end{tikzpicture} + +\tikzstyle{every minor tick}+=[color=black,thick] +\begin{tikzpicture} + \begin{loglogaxis}[grid=both] + \loglogtestplot + \end{loglogaxis} +\end{tikzpicture} +} + +\testsection{Tick lines test} +\begin{tikzpicture} + \begin{loglogaxis}[xmajorticks=false,xminorticks=true] + \loglogtestplot + \end{loglogaxis} +\end{tikzpicture} +\begin{tikzpicture} + \begin{loglogaxis}[ymajorticks=false,yminorticks=false] + \loglogtestplot + \end{loglogaxis} +\end{tikzpicture} + +\begin{tikzpicture} + \begin{loglogaxis}[ticks=none] + \loglogtestplot + \end{loglogaxis} +\end{tikzpicture} + +\begin{tikzpicture} + \begin{loglogaxis}[ticks=major] + \loglogtestplot + \end{loglogaxis} +\end{tikzpicture} + +\testsection{TikZ-coordinate system ``axis''} +\begin{tikzpicture} +\begin{axis} +\smallplotstest +\axispath\draw (axis cs:0.5,0.6) -- (axis cs:-1,0); +\end{axis} +\end{tikzpicture} + +\begin{tikzpicture} + \begin{loglogaxis} + \axispath\draw + (axis cs:18943,2.873391e-05) |- (axis cs:47103,8.437499e-06); + \loglogtestplot + \end{loglogaxis} +\end{tikzpicture} +\end{document} diff --git a/Master/texmf-dist/doc/latex/pgfplots/todo.txt b/Master/texmf-dist/doc/latex/pgfplots/todo.txt index 49d55dc2452..2c27f484bbd 100644 --- a/Master/texmf-dist/doc/latex/pgfplots/todo.txt +++ b/Master/texmf-dist/doc/latex/pgfplots/todo.txt @@ -1,32 +1,77 @@ ------------------------------------------------------------- -FLEISS: +BUGS ------------------------------------------------------------- -+ mache paket-abhaengigkeiten + versionsnummern ordentlich. - -- implementiere irgendwas, sodass \ref{} und \label{} auch fuer plots benutzt - werden koennen. Ziel: suche die plotspec zum letzten plot raus! ++ axis limits of zero width are not fixed causing division by zero -- dokumentiere trim-feature (oder shcmeisse es raus) ++ ytick=\empty is broken again :-( -+ dokumentiere filter-feature - + xfilter - + yfilter - + execute at begin plot - + execute at end plot +- if a logplot has very small axis ranges, only ONE tick label will be placed. + Thats not enough. + In such a case, tick labels should be placed at MINOR TICKS [2-9]*10^i. + BTW: + if someone places tick marks at [1-9]*10^i, the minor ticks should NOT be + disabled. + Instead, tick positions should be RECOGNISED AS MINOR TICKS (which is not + that simple). -- aktualisiere doku fuer die neue log-evaluation - + listing <-> axen konsistenz - + textanpassungen - + semilogxaxis - beispiel + doku +- bei normalen plots wird der parser nicht angeworfen -+ dokumentiere beispiel mit steigungsdreieck - -+ verwende die neuen umgebungen 'loglogaxis', 'semilogaxis' etc. ++ die legend[font=] variable ist doch dasselbe wie in dem tikzstyle zu legenden, + oder? warum funktioniert es dann anders? -------------------------------------------------------------- -BUGS -------------------------------------------------------------- +- implementiere enlargelimits fuer log-achsen + ++ markers werden rausgeclipped, wenn die achsen TIGHT sind. + ++ man kann keine leeren listen an tick labels uebergeben! + ++ width/height produziert NICHT die gewuenschte breite. + Man sollte ne zusatzoption haben, die die labels grundsaetzlich NICHT + beruecksichtigt. + +X Fix the scaling estimations. + Problem: I don't know sizes of labels, legends, titles and tick labels. + Idea: + -Create a temporary picture + \hbox{% + \begin{tikzpicture}[xshift=...,yshift=...] % skaliere auf (0,0)--(1,1) + \draw (0,0) rectangle (1,1) + plaziere labels + legende + vllt. ein tick auf jede achse (?) + \end{tikzpicture} + }% + - measure and remember its size + - throw it away + -> 9.2.2008: + ATTEMPT FAILED. + Reasons: + 1. it is not possible to place a tikzpicture into a tikzpicture. + And it can't be because Tikz updates bounding box parameters GLOBALLY. + 2. I could use a combination of + - scope, + - the 'current bounding box' node, + - \pgfpointanchor{current bounding box}{ anchor name }, + - drawing commands for labels,legend etc. + Effect: bounding box is determined correctly. BUT: + - bounding box of real picture may be affected, + - every output is drawn because nodes can't be 'thrown away'. + At least I do not know how. + + ++ enlargelimits muss RELATIV nicht ABSOLUT gemacht werden. + ++ es gibt einen fehler in der achsen skalierung, wenn + man sehr grosse limits hat (normale achsen) + ++ default ticks muessen besser an achsenlimits angepasst werden + -> bei sehr grossen oder sehr kleinen limits schlaegt die derzeitige + einschraenkung der step sizes fehl + +- addplot plot coordinates { (235 , 43252) } + ^ + funzt nicht wegen dem leerzeichen vor dem komma + +- verschiebung des ylabels ist komisch, wegen der rotate option - die standard-positionierung der achsenlabels beruecksichtigt nicht die breite der ticklabels - entweder ist es daher zu weit weg oder zu nah @@ -38,16 +83,13 @@ BUGS + das log-ding kann 1e7 nicht lesen, nur 1.0e7 -- wenn man jetzt ticks angibt, sieht man die rechenfehler angezeigt. das ist ++ wenn man jetzt ticks angibt, sieht man die rechenfehler angezeigt. das ist doof. Vllt. kann ich ja zugriff auf die normalisierte gleitpunktdarstellung bekommen und so das als 10^i darstellen?? HALT: die ticks WAREN doch mal als normale zahlen gegeben, oder? Die sollte ich nehmen! -- bei bel. ticks moechte ich nur ne gewisse anzahl stellen im tick label haben! - -- die legend[font=] variable ist doch dasselbe wie in dem tikzstyle zu legenden, - oder? warum funktioniert es dann anders? ++ bei bel. ticks moechte ich nur ne gewisse anzahl stellen im tick label haben! + beim auto-limit-lesen geht \addplot[color=red,mark=x] @@ -81,10 +123,6 @@ X durch die verwendung der TEX-Register scheinen ungeauigkeiten beim clippen + diese liste sollte nicht '\\' fuer die interne repr verwenden. -X meine achsenlimits gehen immer in log10 waehrend der rest wohl eher ln ist! - das hat alles seine richtigkeit. - -+ die legende ist zu breit. + fuehre optionen fuer die legende ein (position, font) @@ -102,7 +140,267 @@ X Die gesamtbreite enthaelt zu viele nur grob einkalkulierte einfluesse! FEATURES ------------------------------------------------------------- -- es waere nicht schlecht, wenn man die ticklabels bessere angeben koennte +- prettyprintnumber is not adequate. + There are different aims: + 1. The user provides + - precision + - number format (sci, fixed, truncate to int, 'whatever fits best') + - the number in any precision or format. + Details: + - I need \scifloatround + - sollte die mantisse einer exponential-darstellung runden + - erfordert u.U. renormalisierungen + - the fixed point rounding routine needs to distinguish between + - MAXIMUM precision, 1.000 -> 1 + - FIXED precision 1.000 -> 1.00 + - the 'std' format should use + - fixed point if + -4 < e < precision + - scientific in all other cases. + - this is copied from 'printf' manual. Motivation: + - 0.00013 wastes more space than 1.3e-4 and the latter + one may have higher precision. + - with precision 3, exponent > precision like 12345 = + 1.2345e4, the fixed point repr has as much digits as + the sci format. If exponent >> precision, it is + better to use scientific notation and round the + mantisse to 'precision'. + 2. The user says "show the information appropriately". Examples: + - "format my axis tick labels so that information is represented well + with very few space" + - "format my numbers such that absolute values above THRESH1 are + formatted with SCI, and absolute numbers below THRESH2 are formatted + with SCI, and those within with fixed pt. + - "format my numbers relatively to a reference number - I want to see + the difference!" + That may also be an appropriate choice for axis descriptions... + -> these informal requirements should be converted into a precise + definition. They should be available as configurable, predefined + "display strategies". + 3. The user may not only want to specify the NUMBER FORMAT (sci, fixed, ...), + but maybe he also wants to CONFIGURE THE GENERATED STRINGS. Examples: + - '1.002' vs '1,002' vs '1\cdot 002' , ... + - '1\cdot 10^4' vs '1e4' versus '1e+4' versus '1_{4}', .... + -> allow such possiblities. + Details for the display-methods (they don't round!): + - for log-displays: call \shownumberexponential{1}\empty\exponent + -> 10^i; 10^{0.702} + -> the precision should be used to round the exponent! + -> round exponent with \shownumberfixedpt. + Well, maybe a separate method like + \shownumberlogdisplay\exponent would be more appropriate. + - for scientific format: call + \shownumberexponential\sign\mantisse\exponent + There are different possible methods to display \mantisse: + - MAXIMUM precision + - FIXED precision + The same holds for the exponent: + - zero-pad to X digits + - minimum space + - for "normal" numbers, either with fixed or maximum precision: + \shownumberfixedpt\preperiod\postperiod + -> this should also be used for \mantisse! + My idea is that any input number HAS a period; then I simply need + to divide into the part before and after that. + -> conflicts with the idea of rounding: the rounded result may be + an integer! + Maybe I can return the \preperiod and \postperiod parts from the + rounding-routines. + Ideas: + - prettyprintnumber should access a bunch of configuration variables. + - these variables should be configurable by a key-value-parser. + - there should be a key-value-interface for prettyprintnumber, but it would + be best if that one is not necessarily needed. Most applications will not call + prettyprintnumber directly; they will configure the number format once and + invoke prettyprintnumber without options. + At least I think so.... + - I could create a tabular-column format for column pretty printing + (possibly with alignment) + - I guess I can take the manual for printf and re-implement all of its + features (together with some of LaTeX like subscript exponentials or so) + +- document 'legend plot pos' option + +- Most of my loops are quite inefficient. I have learned how to employ + \@ifnextchar (or the PGF-pendant) to create efficient loops on top of TeXs + parser: + - use \@ifnextchar to check for a TERMINATE token and recurse otherwise. + - linear runtime + - I fear, my loops have quadratic runtime + +- there are some clipping paths in the tick-placement loop which can be + replacement with simple \ifdim's. + I guess clipping is not the cheapest operation. + + +- remember unfiltered (non-logarithmized) input ticks with \listnew and provide + them like '\tick' during ticklabel typesetting + + +- Es sollte unbedingt moeglich sein, die TikZ-Styles zu verwenden. Das + \axispreset ist reichlich nervig und inkonsistent mit der restlichen nutzung + -> optimal: + \path (0,0) axis[xlabel=X,width=...] { + \addplot plot coordinates {...}; + }; + or + \path (0,0) axis[xlabel=X] { + \addplot plot coordinates {...}; + } + (1,1); + and the scaling would create a plot of dimension (1*x,1*y). + + What do I really need? + - Path commands, + - style support, + - ... ? + +- provide accessable names for external axis labels, for example + \path[use as bounding box] (0,0) rectangle (1,1) (axis x label.south); + -> would only use the axis rectangle and the x label as bounding box. + ++ improve tick placement (more) systematically + ++ provide auto tick labels at 5*i if appropriate + ++ implement the legend as tikz-matrix + -> width computation works correctly (there is a bug with font scaling) + ++ provide tick labels as a list like + axis[tick labels={A,B,1,4,5,$\frac 12$}] + -> convert to \listnew, use listpopfront to access elements + + +- provide options for log plot tick formatting: + 10^0.703 vs fixed point format + ++ I could provide a global coordinate transformation + T(x) = x * 10^{q-m} + where 'q' is the desired range of numbers. It depends on TeXs numerical + capacities and the desired size (cm) of the plot. + + The number 'm' is the order of the input data, \abs{x} \in O(10^m). + Advantages: + - such a transformation is purely based on period shifts + (multiplication/division by 10) + and is therefor purely TEXT BASED + - one can avoid TeXs limitations on numbers + - the full plot precision is maintained + Disadvantages: + - takes some more time, + - any \axispath commands need to use the transformation as well + - I need to provide a good implementation of T and T^{-1} + - needs a lot of care in programming + Ideas: + - the transformation could be included into my 'filter coordinates' + framework. However, one special treatment has to be done because + the transformation can only be done as soon as axis limits are known. + I guess it would be better to transform BEFORE TikZ touches the first + point. + - I should use my normalized floating point parser, possibly with some + simplifications + + implement numerics on floating point repr + + less than, + + minimum, + + format conversions, + + arithmetic shifts + - Maybe I could be evil and overwrite PGF's number parsing routine(s) + (\pgfmathparse?) + Advantage: I could apply log to user input; I could apply this + transformation transparently + -> maybe the number parsing is only performed by TikZ routines, not the + lowlevel PGF ones... perhaps thats easier to replace? + +- I could try to use the plot-stream framework of PGF directly instead of using + the 'plot coordinates' command of tikz. + Advantage: would be faster. And the additional features can't be used anyway + because of my own number parsing routines... + ++ rename manual.pdf to pgfplots.pdf -> allows texdoc pgfplots + + ++ alignment: vertikal kann ich jetzt mit baseline. Kann ich horizontales + alignment an (0,0) hinbekommen? + ++ axis hide option ? macht das sinn? + +- axis equal option + ++ legende anders formatierbar? + - ausserhalb des (und isoliert von dem) plots? + + horizontal? + ++ grid lines + + minor + + major + -> einfach als verlaengerung der kleinen tick lines + +- hintergrundfarbe des plots auf "weiss" fixierbar + -> sinnvoll fuer vortraege, bei denen anderer hintergrund ist + - option: GANZER plot oder nur achse + +- je eine autoplotspeclist fuer jeden achsentyp (d.h. 4 insgesamt) + +- es gibt scheinbar in PDF viewern die moeglichkeit, fuer den Druck ein anderes + dokument/dokumentteile zu verwenden als fuers Bildschirmbetrachten + (draft-package bspw?). + Kann man das nutzen, um sowohl farbige als auch S/W-plots zu generieren? + -> pruefe draftcopy paket + +- koennte man den kram auch aus (grossen) tabellen rauslesen? Also sowas wie + "plot X versus Y aus file Z"? + -> das geht sicher! + Ideen: + - abstrakte datenstruktur als liste von spalten, eine spalte ist ne liste + von nummern + - einlesen: + - zeilenweise, haengt an die jeweiligen spalten mit \listpushback + coordinaten dran + - read first line as header (optionally my $flags line for column + formatting advice) + - read just strings, no parsing + - optimal: '\t' as separator. How can I teach TeX to use '\t' as + separator!? + - would allow + \addplot plot table[x=X,y=Z] {\table} + and + \typesettable[columns=...,format=sci,...,formatting options=...] {\table} + - implementation: simple run through column lists + -> I need a method for simultaneous traversal of multiple lists, not + difficult + -> CONSISTENT data representation, powerful display options + + + ++ man sollte \addplot mit '+[OPTIONEN]' starten koennen. + ++ ich sollte das enlargelimits deaktivierbar machen! vllt. auch ne option 'tight' + ++ automatisches tick-platzieren koennte verbessert werden + -> insbesondere fuer normale plots + +- fehlerbars waeren nett + +- es waere schoen, wenn man auf legend extern zugreifen koennte oder diese sogar + plotten koennte + ++ es waere nicht schlecht, wenn man die ticklabels bessere angeben koennte + z.B. + ticklabellist={1\\2\\3\\} + oder so + +- prettyprintnumber: sollte SCI benutzen, wenn underflow + ++ baseline option, die die linke unter ecke als '(0,0)' koordinate annimmt. + Wuerde generell sinn machen, oder? + +- andere plot-befehle + - domain option verwenden zum update der limits + - kann man logs anwenden? + - plot function + - plot file + - plot (...) + -> see tikz.code.tex for how to implement that! - es waere schoen, wenn ich die ANZAHL der sinnvollen ticks angeben wuerde, d.h. TICKS PRO ACHSE anstelle von TICKS PRO UNIT DIFFERENZ @@ -118,29 +416,6 @@ FEATURES 2. beim lesen sucht er nach '\includegraphics{zeug.PDF}', was natuerlich NICHT funktioniert, weil das pdf keine bounding box hat. supi. -- ich brauche ne einbindung als Tikz paket. Ich wuerde bspw. gerne mit - tikzstyle{every axis}=[width=0.5\textwidth] oder so arbeiten koennen. - Wie geht das? - -- vllt. waere sowas wie 'filter' nicht schlecht: plotte einfach nichts, was - ausserhalb eines gewissen domains liegt - -- mache die default styles etwas professioneller: statt hellere marker lieber - dunklere - -- ich brauche ne option, die verspaetetes drawen erzwingt [selbst mit geg. - limits]. - -- ich koennte log implementieren. - EINGABE: - x = +m*10^e - -> log(x) = log(m) + e*log(10) - d.h. ich muesste nur ne implementierung fuer - log(m), 0#1 - \global#1=\wd0 - \fi - }% + % assemble a + % \matrix { + % small plot & legend1\\ + % small plot & legend2\\ + % ... + % }; + % command [and using the 'legend columns' option] + % + % \TOKL@ta={ + % small plot & legend1\\ + % small plot & legend2\\ + % ... + % } + % ( I have allocated the token register in my simplelist.sty) + % + % \global\def\axis@TMP{ + % \matrix { + % \TOKL@TA + % }; + % } + % -> finally, \axis@TMP will contain the complete command. + \TOKL@ta={}% + \let\curcolumnNum=\c@pgf@counta + \let\maxcolumnCount=\c@pgf@countb + \let\legendplotpos=\c@pgf@countc + \legendplotpos\expandafter=\axis@legend@plot@pos + \curcolumnNum=0 + \maxcolumnCount\expandafter=\csname axis@legend columns\endcsname\relax + % + \loop + \ifnum0<\axis@numplots\relax + \axis@pop@next@legend + \ifx\axis@curlegend\empty + \else + \advance\curcolumnNum by1 + \edef\axis@TMP{% + \the\TOKL@ta + \ifcase\legendplotpos + % legend plot pos=left + \noexpand\axis@show@small@legendplots{\axis@curplotlist}% + \noexpand\pgfmatrixnextcell + \noexpand\node {\axis@curlegend}; + \or + % legend plot pos=right + \noexpand\node {\axis@curlegend}; + \noexpand\pgfmatrixnextcell + \noexpand\axis@show@small@legendplots{\axis@curplotlist}% + \or + % legend plot pos=none + \noexpand\node {\axis@curlegend}; + \fi + \ifnum\curcolumnNum=\maxcolumnCount + \noexpand\\ + \else + \ifnum\axis@numplots=0 + \noexpand\\ + \else + \noexpand\pgfmatrixnextcell + \fi + \fi + }% + \ifnum\curcolumnNum=\maxcolumnCount + \curcolumnNum=0 + \fi + \expandafter\TOKL@ta\expandafter{\axis@TMP}% + \fi + \repeat + \TOKL@tb={\matrix[style=every axis legend]}% + \xdef\axis@TMP{% + \the\TOKL@tb {% + \the\TOKL@ta + };% + }% \endgroup - % STEP 2: add plot spec width: - \expandafter\axis@tmpb\legendCOORDC - \advance#1 by\axis@tmpb - % STEP 3: hspace between plot spec and legend: - \advance#1 by\legendHSEP - %\advance#1 by1pt% FIXME I don't know why there was to few place!? - \def#2{text width=\the#1,}% - \else - \def\axis@TMP{none}% - \ifx\axis@legend@textwidth\axis@TMP - % OPTION - % \legend[textwidth=none] - % don't make a '\node[text width=XX]' option: - #1=0cm - \def#2{}% - \else - % OPTION - % \legend[textwidth=2cm] - % just use it: - \expandafter#1\axis@legend@textwidth - \def#2{text width=\the#1,}% + \let\axis@already@computed@legend@node=\axis@TMP \fi \fi - % -} - -\newcommand\axis@createlegend{% - \listcheckempty\axis@legend - \iflistempty - \else - % - \def\legendHSEP{5pt}% - \def\legendCOORDB{0.3cm}% - \def\legendCOORDC{0.6cm}% - % - \axis@legend@determinewidth\to\pgf@xa\optionto\axis@TMP - % - % - % This code here invokes - % \node[, - % ... - % ] - % where \axis@TMP contains a "text width=XXX" option. - %DEBUG: - %\draw[red] (0,0) rectangle (1,1); - \expandafter\node\expandafter[\axis@TMP% - style=every axis legend] - {% - \loop\ifnum0<\axis@numplots - \getnextlegend - \ifx\axis@curlegend\empty - \else - \vbox{% - \noindent - \begin{minipage}[c]{\legendCOORDC}% - \tikz - \expandafter\draw\axis@curplotlist - [mark repeat=2,mark phase=2] - plot coordinates { - (0cm,0cm) - (\legendCOORDB,0cm) - (\legendCOORDC,0cm)};% - \hss - \end{minipage} - %\expandafter\hskip\legendHSEP - \axis@setlegendfont - \axis@curlegend - }% - \fi - \repeat - }; - \fi + \axis@already@computed@legend@node } % Checks whether the argument to xtick or ytick is a UNIFORM tick @@ -857,18 +1113,19 @@ \begingroup \global\axis@isuniformticktrue \newif\ifisfirst + \newif\iftwo@are@equal \isfirsttrue \foreach \x in {#1}{% - \pgfmathlog@invoke@expanded\pgfmathdivide@{{\x}{\logten}}% + \pgfmathmultiply@\x\reciproc@logten \let\cur=\pgfmathresult % check whether % \cur - last == 1 (last = \axis@TMPB) \ifisfirst \global\isfirstfalse \else - \pgfmathlog@invoke@expanded\pgfmathsubtract@{{\cur}{\axis@TMPB}}% - \def\axis@TMP{1.0}% - \ifx\axis@TMP\pgfmathresult + \pgfmathsubtract@\cur\axis@TMPB% + \pgfmathlog@approxequalto@macro\pgfmathresult{1.0}{two@are@equal}% + \iftwo@are@equal \else \global\axis@isuniformtickfalse \breakforeach @@ -892,14 +1149,14 @@ } \def\logtologtentomacro#1#2{% - \pgfmathlog@invoke@expanded\pgfmathdivide@{{#1}{\logten}}% + \pgfmathmultiply@{#1}\reciproc@logten% \expandafter\skipsuffixzero\pgfmathresult|% \let#2=\pgfmathresult } % Expands to #1/log(10). It will also skip a suffix '.0' \def\logtologten#1{% - \pgfmathlog@invoke@expanded\pgfmathdivide@{{#1}{\logten}}% + \pgfmathmultiply@{#1}\reciproc@logten% \expandafter\skipsuffixzero\pgfmathresult|% \pgfmathresult } @@ -909,7 +1166,7 @@ \def\axis@compute@tick@times@logten#1\to#2{% \global\let#2=\empty \foreach \axis@TMPB in {#1} {% - \pgfmathlog@invoke@expanded\pgfmathmultiply@{{\axis@TMPB}{\logten}}% + \pgfmathmultiply@\axis@TMPB\logten% \ifx#2\empty \xdef#2{\pgfmathresult}% \else @@ -918,43 +1175,77 @@ }% } -\def\axis@enlarge@xlim{% - \ifcase\axis@xmode - \pgfmathlog@invoke@expanded\pgfmathsubtract@{{\axis@xmin}{0.5}}% - \let\axis@xmin=\pgfmathresult - \pgfmathlog@invoke@expanded\pgfmathadd@{{\axis@xmax}{0.5}}% - \let\axis@xmax=\pgfmathresult +\def\axis@init@enlarge@limit@booleans{% + \axis@enlargelimits@autofalse + \axis@enlargelimitsfalse + \axis@enlargelimits@rel@threshfalse + \edef\axis@TMP{\axis@enlargelimits}% + % + \def\axis@TMPB{true}% + \ifx\axis@TMP\axis@TMPB + \axis@enlargelimitstrue + \else + \def\axis@TMPB{false}% + \ifx\axis@TMP\axis@TMPB + \else + \def\axis@TMPB{auto}% + \ifx\axis@TMP\axis@TMPB + \axis@enlargelimits@autotrue + \else + \begingroup + % try to read it as number: + \expandafter\pgf@xa\axis@enlargelimits pt\relax + \endgroup + \axis@enlargelimitstrue + \axis@enlargelimits@rel@threshtrue + \fi + \fi + \fi +} + +\def\axis@enlarge@limit@for#1{% + \begingroup + \expandafter\let\expandafter\min\expandafter=\csname axis@#1min\endcsname + \expandafter\let\expandafter\max\expandafter=\csname axis@#1max\endcsname + \ifcase\csname axis@#1mode\endcsname + \ifaxis@enlargelimits@rel@thresh + \edef\enlargepercent{\axis@enlargelimits}% + \else + \def\enlargepercent{0.1}% FIXME : pack 10% as default into option 'enlargelimits' or so + \fi + \pgfmathsubtract@\max\min% + \expandafter\pgf@xa\pgfmathresult pt + \expandafter\pgf@xb\enlargepercent\pgf@xa + \ifdim\pgf@xb>0.001pt + % the case with + % enlargeabsolute ~= 0 + % means that \min ~= \max. + % It is handled in another method. + \edef\enlargeabsolute{\pgf@sys@tonumber{\pgf@xb}}% + % + % compute xmin := xmin - enlargeabsolute + \pgfmathsubtract@\min\enlargeabsolute% + \let\min=\pgfmathresult + \pgfmathadd@\max\enlargeabsolute% + \let\max=\pgfmathresult + \fi \or % compute - % \pgfmathsetmacro{\axis@xmin}{\axis@xmin - 0.5*\logten}% - % \pgfmathsetmacro{\axis@xmax}{\axis@xmax + 0.5*\logten}% + % \pgfmathsetmacro{\min}{\min - 0.5*\logten}% + % \pgfmathsetmacro{\max}{\max + 0.5*\logten}% % just a more efficiently (I hope so): \expandafter\pgfmath@x\logten pt \divide\pgfmath@x by2 - \pgfmathlog@invoke@expanded\pgfmathsubtract@{{\axis@xmin}{\pgf@sys@tonumber{\pgfmath@x}}}% - \let\axis@xmin=\pgfmathresult - \pgfmathlog@invoke@expanded\pgfmathadd@{{\axis@xmax}{\pgf@sys@tonumber{\pgfmath@x}}}% - \let\axis@xmax=\pgfmathresult - \fi -} -\def\axis@enlarge@ylim{% - \ifcase\axis@ymode - \pgfmathlog@invoke@expanded\pgfmathsubtract@{{\axis@ymin}{0.5}}% - \let\axis@ymin=\pgfmathresult - \pgfmathlog@invoke@expanded\pgfmathadd@{{\axis@ymax}{0.5}}% - \let\axis@ymax=\pgfmathresult - \or - % compute - % \pgfmathsetmacro{\axis@ymin}{\axis@ymin - 0.5*\logten}% - % \pgfmathsetmacro{\axis@ymax}{\axis@ymax + 0.5*\logten}% - % just a more efficiently (I hope so): - \expandafter\pgfmath@y\logten pt - \divide\pgfmath@y by2 - \pgfmathlog@invoke@expanded\pgfmathsubtract@{{\axis@ymin}{\pgf@sys@tonumber{\pgfmath@y}}}% - \let\axis@ymin=\pgfmathresult - \pgfmathlog@invoke@expanded\pgfmathadd@{{\axis@ymax}{\pgf@sys@tonumber{\pgfmath@y}}}% - \let\axis@ymax=\pgfmathresult + \pgfmathlog@invoke@expanded\pgfmathsubtract@{{\min}{\pgf@sys@tonumber{\pgfmath@x}}}% + \let\min=\pgfmathresult + \pgfmathlog@invoke@expanded\pgfmathadd@{{\max}{\pgf@sys@tonumber{\pgfmath@x}}}% + \let\max=\pgfmathresult \fi + \xdef\axis@TMP{\min}% + \xdef\axis@TMPB{\max}% + \endgroup + \expandafter\let\csname axis@#1min\endcsname=\axis@TMP + \expandafter\let\csname axis@#1max\endcsname=\axis@TMPB } % Computes tick positions using the current axis limits. @@ -963,13 +1254,32 @@ % \axisdefaulttickwidth % Determines the maximum space which is not filled by at least one % tick label (approximate, there is some rounding internally) +% \axisdefaulttryminticks +% see manual +% +% Idea: +% We want ticks at each +% { i*H, i in \Z }. +% Of course, there shouldn't be TOO MUCH ticks. % -% Heuristics: -% Set desirednumticks = trunc(ACTUAL WIDTH / axisdefaulttickwidth) +1 +% Our heuristics is to set +% desirednumticks = round(ACTUAL WIDTH / axisdefaulttickwidth) +% and generate H = (axis range) / desirednumticks. % -% and generate STEPSIZE = (axis range)/ desirednumticks +% Since not all step sizes H look well, restrict H to a set of allowed +% step sizes such as +% { 1, 1/2, 1/5, 1/10 }, +% or, to be more precise: +% { 1*10^e, 2*10^e, 5*10^e } +% -> round to the nearest matching number! +% +% Then, the resulting tick is +% TICK={MIN,MIN+H,...,MAX} +% where +% MIN = I*H +% is chosen such that +% axis minimum limit = I*H + rest; |rest| < H. % -% We actually restrict STEPSIZE to { 1, 1/2, 1/5, 1/10 } % % PRECONDITION: % - limits are correct @@ -980,6 +1290,11 @@ % - \ifaxis@needs@check@uniformtick is set \def\axis@assign@default@tick@foraxis#1{% \begingroup + % Shortcut-names: + \expandafter\let\expandafter\ifaxis@is@datascaled\csname ifaxis@float@numerics@mode@#1\endcsname + \expandafter\let\expandafter\axis@data@scale@trafo\csname axis@datascaletrafo@#1\endcsname + \expandafter\let\expandafter\axis@data@scale@inverse@trafo\csname axis@inverse@datascaletrafo@#1\endcsname + % \let\desirednumticks=\c@pgf@countd \let\Wr=\pgf@xc \Wr=\csname axis@#1coordmaxTEX\endcsname @@ -988,48 +1303,89 @@ \expandafter\expandafter\divide\Wr\axisdefaulttickwidth \pgfmathsetcount{\desirednumticks}{\Wr}% \advance\desirednumticks by1 + \expandafter\ifnum\axisdefaulttryminticks>\desirednumticks + \expandafter\desirednumticks\axisdefaulttryminticks + \fi \ifcase\csname axis@#1mode\endcsname - % compute tick := MIN-h,MIN,....,MAX+h - % where h is a determined step size and MIN and MAX are - % (truncated) axis limits. - % - % The MIN-h and MAX+h is to support compatibility with the - % enlargelimits option - there should be ticks in the - % enlarged place. - \pgfmathsetcount{\c@pgf@counta}{\csname axis@#1min\endcsname}% - %\pgfmathsetcount{\c@pgf@countb}{\csname axis@#1max\endcsname}% - \expandafter\ifdim\csname axis@#1min\endcsname pt<0pt - % the truncation round TOWARDS 0 which is not what I want. - \advance\c@pgf@counta by-1 - \fi + % compute tick := MIN,MIN+H,....,MAX \let\MINH=\pgf@xa \let\H=\pgf@xb \let\MAX=\axis@tmpa \let\MIN=\axis@tmpb - % compute step size 'h': + % compute step size 'H': \expandafter\MAX\csname axis@#1max\endcsname pt \advance\MAX by0.001pt% avoid round errors - \expandafter\MIN\the\c@pgf@counta pt + %\expandafter\MIN\the\c@pgf@counta pt + \expandafter\MIN\csname axis@#1min\endcsname pt \H=\MAX \advance\H by-\MIN \c@pgf@counta=\desirednumticks \advance\c@pgf@counta by-1 \divide\H by\c@pgf@counta - %\message{Wr\the\Wr, desirednumticks=\the\desirednumticks, H=\the\H}% - \ifdim\H<0.10001pt - \H=0.1pt +%\message{determining ticks for #1-axis: Wr := (width/max space between ticks) = \the\Wr, desirednumticks=max(\axisdefaulttryminticks, trunc(Wr)) = \the\desirednumticks, H=(axis range/(desirednumticks-1)) = \the\H}% + % + % SEARCH for the NEXT FEASABLE H. + % + \edef\Hmacro{\pgf@sys@tonumber\H}% + \ifaxis@is@datascaled + \expandafter\axis@data@scale@inverse@trafo\Hmacro\to\Hmacro + \else + \expandafter\sciparsesignsingle\expandafter{\Hmacro}\Hmacro + \fi + \scigetcomponents\Hmacro\H@S\H@M\H@E +%\message{Got T^{-1}(H) = [\H@S] \H@M * 10^\H@E}% + % modify the mantisse: + \expandafter\H\H@M pt + \ifdim\H<2pt + \ifdim\H<1.5pt + \def\H@M{1.0}% + \else + \def\H@M{2.0}% + \fi \else - \ifdim\H<0.20001pt - \H=0.2pt + \ifdim\H<4.9999pt + \ifdim\H<3.5pt + \def\H@M{2.0}% + \else + \def\H@M{5.0}% + \fi \else - \ifdim\H<0.5001pt - \H=0.5pt + \ifdim\H<7.5pt + \def\H@M{5.0}% \else - \H=1pt + \def\H@M{1.0}% + \expandafter\c@pgf@counta\H@E + \advance\c@pgf@counta by1 + \edef\H@E{\the\c@pgf@counta}% \fi \fi \fi - %\message{final H=\the\H}% + \scisetcomponents\Hmacro\H@S\H@M\H@E + \ifaxis@is@datascaled + \axis@data@scale@trafo\Hmacro\to\Hmacro + \else + \scitofixedsingle\Hmacro\Hmacro + \fi +%\message{I have computed H=\Hmacro}% + \expandafter\H\Hmacro pt +%\message{final H=\the\H}% + % + % Now, we want to activate the Tick set {i*H, i in \Z} + % compute I such that + % xmin = I * H + rest; |rest| < H + % -> I = round(xmin/H) + % -> MIN = I * H + \pgfmathlog@invoke@expanded\pgfmathdivide@{% + {\pgf@sys@tonumber\MIN}% + {\pgf@sys@tonumber\H}% + }% + \pgfmathsetcount{\c@pgf@counta}{\pgfmathresult}% + \ifdim\MIN<0pt + % the truncation rounds TOWARDS 0 which is not what I want. + \advance\c@pgf@counta by-1 + \fi + \MIN=\H + \multiply\MIN by\c@pgf@counta \MINH=\MIN \advance\MINH by\H \xdef\axis@TMP{\pgf@sys@tonumber{\MIN},\pgf@sys@tonumber{\MINH},...,\pgf@sys@tonumber{\MAX}}% @@ -1037,9 +1393,11 @@ \or \expandafter\ifx\csname axis@#1tickten\endcsname\empty % I want ticks at 10^k. So determine k_min and k_max. - \pgfmathsetcount{\c@pgf@counta}{\csname axis@#1min\endcsname/\logten-1}% + % + % FIXME: optimize! + \pgfmathsetcount{\c@pgf@counta}{\csname axis@#1min\endcsname*\reciproc@logten-1}% \pgfmathsetmacro{\tmp@min}{\c@pgf@counta*\logten}% - \pgfmathsetcount{\c@pgf@counta}{\csname axis@#1max\endcsname/\logten}% + \pgfmathsetcount{\c@pgf@counta}{\csname axis@#1max\endcsname*\reciproc@logten}% \pgfmathsetmacro{\tmp@max}{\c@pgf@counta*\logten}% \pgfmathadd\tmp@min\logten% \xdef\axis@TMP{\tmp@min,\pgfmathresult,...,\tmp@max}% @@ -1052,79 +1410,218 @@ \fi \endgroup \expandafter\let\csname axis@#1tick\endcsname=\axis@TMP - %\message{pgfplots.sty: #1tick set to \csname axis@#1tick\endcsname [#1mode=\the\csname axis@#1mode\endcsname, #1min=\csname axis@#1min\endcsname, #1max=\csname axis@#1max\endcsname].}% +%\message{pgfplots.sty: #1tick set to \csname axis@#1tick\endcsname [#1mode=\the\csname axis@#1mode\endcsname, #1min=\csname axis@#1min\endcsname, #1max=\csname axis@#1max\endcsname].}% } -\def\axis@determinedefaultvalues{% - % NOTIZ: - % - % wenn ich AUTOMATISCH aus (x_i,y_i) - % [xy]min und [xy]max ausrechnen will, muss ich - % ggf. - % xmin = min_{i} { untere_gaussklammer(log(x_i) / log10) } - % rechnen +% Helper method for +% \axis@apply@data@scale@trafo@to@options@for +% #1: the ticks +% #2: the trafo macro name (the form taking three args) +% #3: the output macro name +\long\def\axis@apply@data@scale@trafo@to@user@ticks#1#2\to#3{% + \let#3=\empty + \foreach \axis@TMPB in {#1} {% + \expandafter\sciparsesign\expandafter{\axis@TMPB}\sci@S\sci@M\sci@E + #2\sci@S\sci@M\sci@E\to\axis@TMPB + \ifx#3\empty + \xdef#3{\axis@TMPB}% + \else + \xdef#3{#3,\axis@TMPB}% + \fi + }% + % +}% + +% helper for \axis@apply@data@scale@trafo@to@options@for. +\def\axis@compute@number@order@for@trafo@isdimen#1\tocount#2{% + \edef\axis@TMP{\pgf@sys@tonumber{#1}}% + \expandafter\sciparsesign\expandafter{\axis@TMP}\S\M\E + \expandafter#2\E\relax + \advance#2 by1 +} + +% helper for \axis@apply@data@scale@trafo@to@options@for. +% +\def\axis@compute@number@order@for@trafo@isfloat#1\tocount#2{% + \scigetcomponents#1\S\M\E + \expandafter#2\E\relax + \advance#2 by1 +} + +% Initialises the data scale transformation and applies it to any +% user specified options. +% +% PRECONDITION: +% - all axis limits are available in float representation +% (i.e. with \scisetcomponents) +% - \axis@set@default@size@options has been called before +% POSTCONDITION: +% - the scaling transformation is set up, +% - all axis limits are transformed, +% - any user input (like ticks and tick labels) +% will reflect the changes. +\def\axis@apply@data@scale@trafo@to@options@for#1{% + % initialise data scale transformation + % T(x) = 10^{q-m} * x + % + \begingroup + \let\data@max@order=\c@pgf@counta + \let\data@cur@order=\c@pgf@countb + \let\data@dimen=\pgf@xa + \let\data@dimen@order=\c@pgf@countc + % + % Step 1: compute 'm', the data order + \expandafter\axis@compute@number@order@for@trafo@isfloat + \csname axis@#1min\endcsname + \tocount\data@cur@order + % + \data@max@order=\data@cur@order + % + \expandafter\axis@compute@number@order@for@trafo@isfloat + \csname axis@#1max\endcsname + \tocount\data@cur@order + % + \ifnum\data@cur@order>\data@max@order + \data@max@order=\data@cur@order + \fi % + % Step 2: compute 'q', the #1-size of the axis. + \expandafter\ifx\csname axis@#1\endcsname\empty + % We have 'width' or 'height'. + % + % Use the order of these parameters. + \def\axis@TMP{#1}% + \def\axis@TMPB{x}% + \ifx\axis@TMP\axis@TMPB + \expandafter\data@dimen\axis@width\relax + \else + \def\axis@TMPB{y}% + \ifx\axis@TMP\axis@TMPB + \expandafter\data@dimen\axis@height\relax + \fi + \fi + \axis@compute@number@order@for@trafo@isdimen + \data@dimen + \tocount\data@dimen@order + % This here is to avoid inaccuracies in the final + % axis rectangle size, see \axis@initsizes: + \advance\data@dimen@order by-1 + \else + % FIXME: + % we have either the 'x=1cm' or 'y=1cm' option! + % How should I initialise the trafo!? + \data@dimen@order=3 + \fi + % +%\message{Direction #1: data max order=\the\data@max@order; data dimen order=\the\data@dimen@order. }% + \advance\data@dimen@order by-\data@max@order + \xdef\axis@TMP{\the\data@dimen@order}% + \endgroup +%\message{Initialising the data scale transformation in direction #1 to \axis@TMP...}% + % COMPLETE INITIALISATION: + \ifaxis@EMERGENCY@FORCE@DATA@TRAFO@TO@IDENTITY + \message{WARNING: the automatic scaling of input data has been DISABLED to allow axispath commands [otherwise, axispath commands would not know of the pgfplots scalings - leading to wrong images). DISABLING THE DATA SCALING LIMITS THE DATA RANGE! I hope I can fix this issue as soon as possible. Please take a look at the manual for more information. If you get 'OVERFLOW' or 'UNDERFLOW' errors, you may need to disable the axispath.}% + \def\axis@TMP{0}% + \expandafter\let\csname axis@data@scale@trafo@SHIFT@#1\endcsname\axis@TMP + \else + \expandafter\let\csname axis@data@scale@trafo@SHIFT@#1\endcsname\axis@TMP + \fi + % + % ... and apply transformation to any user input + % + % Transform axis limits: + \expandafter\expandafter\csname axis@datascaletrafo@#1\endcsname\csname axis@#1min\endcsname\to\axis@TMP + \expandafter\let\csname axis@#1min\endcsname=\axis@TMP + % + \expandafter\expandafter\csname axis@datascaletrafo@#1\endcsname\csname axis@#1max\endcsname\to\axis@TMP + \expandafter\let\csname axis@#1max\endcsname=\axis@TMP + % + % Convert any user-specified ticks: + \edef\axis@TMP{\csname axis@#1tick\endcsname}% + % this here should also work with 'xtick=\empty', the "No tick" command. + \ifx\axis@TMP\empty + \else +%\message{Converting #1tick='\csname axis@#1tick\endcsname'}% + \pgfplots@toka=\expandafter{\csname axis@datascaletrafo@#1@three\endcsname}% + \edef\axis@TMP{{\csname axis@#1tick\endcsname}\the\pgfplots@toka}% + \expandafter\axis@apply@data@scale@trafo@to@user@ticks\axis@TMP\to\axis@TMPC + \expandafter\let\csname axis@#1tick\endcsname=\axis@TMPC + \fi + % + % Transform any explicit axis unit scalings: + \expandafter\ifx\csname axis@#1\endcsname\empty + \else +%\message{Converting #1 unit scale='\csname axis@#1\endcsname' ... }% + \expandafter\pgfmathparse\expandafter{\csname axis@#1\endcsname}% + \expandafter\expandafter\csname axis@inverse@datascaletrafo@tofixed@#1\endcsname\pgfmathresult\to\axis@TMP + \edef\axis@TMP{\axis@TMP pt}% + \expandafter\edef\csname axis@#1\endcsname{\axis@TMP}% +%\message{to #1='\csname axis@#1\endcsname'.}% + \fi +} + +\def\axis@determinedefaultvalues{% \ifx\axis@xmin\empty \errmessage{Sorry, the argument 'xmin=NUM' is mandatory to draw axes }% + \def\axis@xmin{0}% \fi \ifx\axis@xmax\empty \errmessage{Sorry, the argument 'xmax=NUM' is mandatory to draw axes }% + \def\axis@xmax{1}% \fi \ifx\axis@ymin\empty \errmessage{Sorry, the argument 'ymin=NUM' is mandatory to draw axes }% + \def\axis@ymin{0}% \fi \ifx\axis@ymax\empty \errmessage{Sorry, the argument 'ymax=NUM' is mandatory to draw axes }% + \def\axis@ymax{1}% \fi % + \axis@set@default@size@options % - \ifx\axis@trimxmin\empty - \else - \pgfmathlog@invoke@expanded\pgfmathmax@{{\axis@xmin}{\axis@trimxmin}}% - \let\axis@xmin=\pgfmathresult + \ifaxis@float@numerics@mode@x + \axis@apply@data@scale@trafo@to@options@for x% \fi - \ifx\axis@trimxmax\empty - \else - \pgfmathlog@invoke@expanded\pgfmathmin@{{\axis@xmax}{\axis@trimxmax}}% - \let\axis@xmax=\pgfmathresult - \fi - \ifx\axis@trimymin\empty - \else - \pgfmathlog@invoke@expanded\pgfmathmax@{{\axis@ymin}{\axis@trimymin}}% - %\pgfmathmax\axis@ymin\axis@trimymin% - \let\axis@ymin=\pgfmathresult - \fi - \ifx\axis@trimymax\empty - \else - \pgfmathlog@invoke@expanded\pgfmathmin@{{\axis@ymax}{\axis@trimymax}}% - %\pgfmathmin\axis@ymax\axis@trimymax% - \let\axis@ymax=\pgfmathresult + \ifaxis@float@numerics@mode@y + \axis@apply@data@scale@trafo@to@options@for y% \fi % - % \ifnum\axis@xmode=0 \axis@xminorticksfalse \fi \ifnum\axis@ymode=0 \axis@yminorticksfalse \fi + % + \axis@init@enlarge@limit@booleans \ifaxis@enlargelimits % relax the sizes. % % Idea: if the user chose his xmin,xmax tight to his data, % this here will look better. - \axis@enlarge@xlim - \axis@enlarge@ylim + \axis@enlarge@limit@for x + \axis@enlarge@limit@for y \else - % FIXME : this here should be user-configurable! - \ifaxis@autocompute@xlim - \axis@enlarge@xlim - \fi - \ifaxis@autocompute@ylim - \axis@enlarge@ylim + \ifaxis@enlargelimits@auto + \ifaxis@hide + % there is no axis, so skip this enlargement (unless + % the user explizitly requests it) + \else + % FIXME : this here should be user-configurable! + \ifaxis@autocompute@xlim + \axis@enlarge@limit@for x + \fi + \ifaxis@autocompute@ylim + \axis@enlarge@limit@for y + \fi + \fi \fi \fi % + \axis@avoid@empty@axis@range@for x% + \axis@avoid@empty@axis@range@for y% + % \axis@initsizes % \newif\ifaxis@xisuniform @@ -1187,6 +1684,7 @@ \fi } + % Helper method for initsizes. % % It computes a scaling such that \axis@width = SCALE * ACTUAL WIDTH. @@ -1208,7 +1706,14 @@ % -> \axis@tmpXscale = (X - c) / (x *(xmax-xmin)) % % \axis@tmpa := X-c: - \advance\axis@tmpa by-45pt% FIXME determine 'c' correctly! + \ifaxis@scale@only@axis + \else + \advance\axis@tmpa by-45pt% FIXME determine 'c' correctly! + \fi + \ifdim\axis@tmpa<0pt + \errmessage{Error: Plot width `\axis@width' is too small. This can't be realised while maintaining constant width for y-labels. Sorry, label width are only approximate. You will need to adjust your width.}% + \axis@tmpa=0pt + \fi % \axis@tmpb := x*(xmax-xmin): \axis@tmpb=\axis@xcoordmaxTEX \advance\axis@tmpb by-\axis@xcoordminTEX @@ -1217,13 +1722,11 @@ {\pgf@sys@tonumber\axis@tmpb}% }% \let#1=\pgfmathresult - %-------------------------------------------------- - % \message{pgfplots.sty: Computing 'x' such that 'width = c + x*(xmax-xmin)'; - % c=estimated, - % width-c =\the\axis@tmpa, - % x*(xmax[=\the\axis@xcoordmaxTEX] - xmin[=\the\axis@xcoordminTEX)]) = \the\axis@tmpb - % -> x-scale =#1 }% - %-------------------------------------------------- +%\message{pgfplots.sty: Computing 'x' such that 'width = c + x*(xmax-xmin)'; +% c=estimated, +% width-c =\the\axis@tmpa, +% x*(xmax[=\the\axis@xcoordmaxTEX] - xmin[=\the\axis@xcoordminTEX)]) = \the\axis@tmpb +% -> x-scale =#1 }% } % The same as \axis@initsizes@getXscale, just for the height. @@ -1235,7 +1738,14 @@ % -> \axis@tmpXscale = (X - c) / (x *(xmax-xmin)) % % \axis@tmpa := X-c: - \advance\axis@tmpa by-45pt% FIXME determine 'c' correctly! + \ifaxis@scale@only@axis + \else + \advance\axis@tmpa by-45pt\relax% FIXME determine 'c' correctly! + \fi + \ifdim\axis@tmpa<0pt + \errmessage{Error: Plot height `\axis@height' is too small. This can't be realised while maintaining constant height for x-labels. Sorry, label heights are only approximate. You will need to adjust your height.}% + \axis@tmpa=0pt + \fi % \axis@tmpb := x*(xmax-xmin): \axis@tmpb=\axis@ycoordmaxTEX \advance\axis@tmpb by-\axis@ycoordminTEX @@ -1244,28 +1754,110 @@ {\pgf@sys@tonumber\axis@tmpb}% }% \let#1=\pgfmathresult - %-------------------------------------------------- - % \message{pgfplots.sty: Computing 'y' such that 'height = c + y*(ymax-ymin)'; - % %height=\axis@height, - % c=estimated, - % height-c =\the\axis@tmpa, - % y*(ymax[=\the\axis@ycoordmaxTEX] - ymin[=\the\axis@ycoordminTEX)]) = \the\axis@tmpb - % -> y-scale =#1 }% - %-------------------------------------------------- -} - -% PRECONDITION: correct axis limits -% POSTCONDITION: the current x- and y unit vectors are changed; -% \axis@[xy]coord{min,max}TEX are set +%\message{pgfplots.sty: Computing 'y' such that 'height = c + y*(ymax-ymin)'; +% height=\axis@height, +% c=estimated, +% height-c =\the\axis@tmpa, +% y*(ymax[=\the\axis@ycoordmaxTEX] - ymin[=\the\axis@ycoordminTEX)]) = \the\axis@tmpb +% -> y-scale =#1 }% +} + + +% Checks whether axis limits in coordinate #1 are approximately equal. % -\def\axis@initsizes{% - % INIT. - % - % The axes 'x' and 'y' vectors will be scaled such that the total - % size is (\axisdefaultwidth, \axisdefaultheight). - % - % If the user specifies ONE of width OR height, - % the plot will be resized; keeping the aspect ratio. +% If that is the case, force a non-zero width of the range. +% +\def\axis@avoid@empty@axis@range@for#1{% + % Check if axis limits are empty: + \begingroup + \expandafter\let\expandafter\if@cur@is@scaled\csname ifaxis@float@numerics@mode@#1\endcsname + \expandafter\let\expandafter\min\csname axis@#1min\endcsname + \expandafter\let\expandafter\max\csname axis@#1max\endcsname + \let\min@d=\pgf@xa + \let\max@d=\pgf@xb + \let\diff=\pgf@xc + \newif\ifrange@is@approx@equal + \expandafter\min@d\min pt + \expandafter\max@d\max pt + \diff=\max@d + \advance\diff by-\min@d + % FIXME : I need a RELATIVE check here! + % but: real number point division is expensive + \if@cur@is@scaled + % this here should be sufficient because the axis + % has absolute values of order O( 10^3 ) or so. + \ifdim\diff<1pt + \range@is@approx@equaltrue + \fi + \else + % there is no data scaling, so I should be much more defensive + % with absolute thresholds... + \ifdim\diff<0.05pt + \range@is@approx@equaltrue + \fi + \fi + \ifrange@is@approx@equal +%\message{avoid range is approx equal for coord #1: MODIFYING (\min,\max)...}% + % the case \min ~= \max + % + % enlarge \max and shrink \min: + \ifdim\max@d<0pt + \ifdim\max@d<-1pt + \max@d=0.8\max@d + \min@d=1.2\min@d + \else + \advance\max@d by-1pt + \advance\min@d by1pt + \fi + \else + \ifdim\max@d>1pt + \max@d=1.2\max@d + \min@d=0.8\min@d + \else + \ifdim\max@d=0pt + \if@cur@is@scaled + % we can't simply add a constant in the + % transformed range. + % + % So: set limits to [-1,1] = [-1.0e0,+1.0e0] + \def\sci@S{2}% + \def\sci@M{1.0}% + \def\sci@E{0}% + \csname axis@datascaletrafo@#1@three\endcsname\sci@S\sci@M\sci@E\to\min + \def\sci@S{1}% + \def\sci@M{1.0}% + \def\sci@E{0}% + \csname axis@datascaletrafo@#1@three\endcsname\sci@S\sci@M\sci@E\to\max +%\message{[trafo shift = \csname axis@data@scale@trafo@SHIFT@#1\endcsname; setting limits -1:1]}% + \expandafter\min@d\min pt + \expandafter\max@d\max pt + \else + \advance\max@d by1pt + \advance\min@d by-1pt + \fi + \else + \advance\max@d by1pt + \advance\min@d by-1pt + \fi + \fi + \fi + \xdef\axis@TMP{\pgf@sys@tonumber{\min@d}}% + \xdef\axis@TMPB{\pgf@sys@tonumber{\max@d}}% +%\message{ -> #1 = \axis@TMP : \axis@TMPB;}% + \else + \global\let\axis@TMP=\min% + \global\let\axis@TMPB=\max% + \fi + \endgroup + \expandafter\let\csname axis@#1min\endcsname=\axis@TMP + \expandafter\let\csname axis@#1max\endcsname=\axis@TMPB +} + +% PRECONDITION: +% none +% POSTCONDITION: +% \axis@default@aspect@ratio is set. +\def\axis@compute@default@aspect@ratio{% \expandafter\pgfmath@x\axisdefaultwidth \expandafter\pgfmath@y\axisdefaultheight \pgfmathlog@invoke@expanded\pgfmathdivide@{% @@ -1273,52 +1865,70 @@ {\pgf@sys@tonumber{\pgfmath@y}}% }% \let\axis@default@aspect@ratio=\pgfmathresult +} + +\def\axis@set@default@size@options{% + % The axes 'x' and 'y' vectors will be scaled such that the total + % size is (\axisdefaultwidth, \axisdefaultheight). % - \pgfpointxy{\axis@xmin}{\axis@ymin}% - \axis@xcoordminTEX=\pgf@x - \axis@ycoordminTEX=\pgf@y - \pgfpointxy{\axis@xmax}{\axis@ymax}% - \axis@xcoordmaxTEX=\pgf@x - \axis@ycoordmaxTEX=\pgf@y - % - %----------------------------------------- - % PROCESS THE 'width' and 'height' options - %----------------------------------------- + % If the user specifies ONE of width OR height, + % the plot will be resized; keeping the aspect ratio. % - % FIXME: make these variables LOCAL: - \let\axis@tmpXscale=\empty% - \let\axis@tmpYscale=\empty% + \let\axis@default@aspect@ratio=\empty % CASES: % hasx := 'x' option non-empty % hasy := 'y' option non-empty % W := 'width' option non-empty % H := 'height' option non-empty % - % hasx hasy - % 0 0 -> work depend on W and H: - % W H - % 0 0 -> use \axisdefaultwidth and \axisdefaultheight - % 0 1 -> determine s:=\axis@tmpYscale and y*=s, x*=s (aspect ratio) - % 1 0 -> determine s:=\axis@tmpXscale and " " " - % 1 1 -> use specified width and height - % 0 1 -> use specified y vector, xscale by 'W' option (NO ASPECT RATIO) - % W - % 0 -> use \axisdefaultwidth - % 1 -> determine s:=\axis@tmpXscale - % 1 0 -> use specified x vector, yscale by 'H' option (NO ASPECT RATIO) - % H - % 0 -> use \axisdefaultheight - % 1 -> determine s:=\axis@tmpYscale - % 1 1 -> use specified x AND y vector (ignore W and H) + % hasx = 1 -> width is not interesting; we use 'x' option. + % hasx = 0 -> determine final width: + % W H + % 0 0 -> \axisdefaultwidth + % 0 1 -> determine width out of H and the default aspect ratio + % 1 X -> ok, use the user parameter. + % + % hasy = 1 -> height is not interesting, we use 'y' option. + % hasy = 0 -> determine final height: + % W H + % 0 0 -> \axisdefaultheight + % X 1 -> ok, use the user parameter + % 1 0 -> determine height out of W and the default aspect ratio % \ifx\axis@x\empty \ifx\axis@y\empty - % The case hasx=0, hasy=0, W=0 H=0: - % the other cases for hasx=0, hasy=0 follow below. - \ifx\axis@width\empty\ifx\axis@height\empty - \let\axis@width=\axisdefaultwidth - \let\axis@height=\axisdefaultheight - \fi\fi + % hasx=0, hasy=0 + % + % -> KEEP ASPECT RATIO if just one W, or H is given! + \ifx\axis@width\empty + \ifx\axis@height\empty + % The case hasx=0, hasy=0, W=0 H=0: + \let\axis@width=\axisdefaultwidth + \let\axis@height=\axisdefaultheight + \else + % The case hasx=0, hasy=0, W=0 H=1: + \axis@compute@default@aspect@ratio + \expandafter\pgfmath@y\axis@height + \pgfmathlog@invoke@expanded\pgfmathmultiply@{% + {\pgf@sys@tonumber{\pgfmath@y}}% + {\axis@default@aspect@ratio}% + }% + \edef\axis@width{\pgfmathresult pt}% + \fi + \else + \ifx\axis@height\empty + % The case hasx=0, hasy=0, W=1 H=0: + \axis@compute@default@aspect@ratio + \expandafter\pgfmath@x\axis@width + \pgfmathlog@invoke@expanded\pgfmathdivide@{% + {\pgf@sys@tonumber{\pgfmath@x}}% + {\axis@default@aspect@ratio}% + }% + \edef\axis@height{\pgfmathresult pt}% + \else + % The case hasx=0, hasy=0, W=1 H=1: + \fi + \fi \else % hasx=0, hasy=1, W=0: \ifx\axis@width\empty @@ -1333,12 +1943,43 @@ \fi \fi \fi +} + +% PRECONDITION: +% - final axis limits are given in transformed range +% - \axis@set@default@size@options has been invoked before +% POSTCONDITION: +% - the current x- and y unit vectors are changed; +% - \axis@[xy]coord{min,max}TEX are set +% +\def\axis@initsizes{% + % INIT. + % + % + \pgfpointxy{\axis@xmin}{\axis@ymin}% + \axis@xcoordminTEX=\pgf@x + \axis@ycoordminTEX=\pgf@y + \pgfpointxy{\axis@xmax}{\axis@ymax}% + \axis@xcoordmaxTEX=\pgf@x + \axis@ycoordmaxTEX=\pgf@y + % + % + %----------------------------------------- + % PROCESS THE 'width' and 'height' options + %----------------------------------------- + % + % FIXME: make these variables LOCAL: + % + \let\axis@rectangle@width=\empty + \let\axis@rectangle@height=\empty % - % common code for the cases if one of W,H is 1: \ifx\axis@x\empty \ifx\axis@width\empty - \else - \axis@initsizes@getXscale\into\axis@tmpXscale + \errmessage{INTERNAL LOGIC ERROR! WIDTH NOT SET}% + \fi + \axis@initsizes@getXscale\into\axis@tmpXscale + \ifaxis@scale@only@axis + \let\axis@rectangle@width=\axis@width \fi \else \def\axis@tmpXscale{1}% @@ -1346,45 +1987,18 @@ % \ifx\axis@y\empty \ifx\axis@height\empty - \else - \axis@initsizes@getYscale\into\axis@tmpYscale + \errmessage{INTERNAL LOGIC ERROR! HEIGHT NOT SET}% + \fi + \axis@initsizes@getYscale\into\axis@tmpYscale + \ifaxis@scale@only@axis + \let\axis@rectangle@height=\axis@height \fi \else \def\axis@tmpYscale{1}% \fi % - \ifx\axis@x\empty\ifx\axis@y\empty - % hasx=0, hasy=0 and ... - % - % -> KEEP ASPECT RATIO! - % - % CASE W=0 H=1: - \ifx\axis@width\empty - \ifx\axis@height\empty - \else - \expandafter\pgfmath@y\axis@height - \pgfmathlog@invoke@expanded\pgfmathmultiply@{% - {\pgf@sys@tonumber{\pgfmath@y}}% - {\axis@default@aspect@ratio}% - }% - \edef\axis@width{\pgfmathresult pt}% - \axis@initsizes@getXscale\into\axis@tmpXscale - \fi - \else% CASE W=1 H=0: - \ifx\axis@height\empty - \expandafter\pgfmath@x\axis@width - \pgfmathlog@invoke@expanded\pgfmathdivide@{% - {\pgf@sys@tonumber{\pgfmath@x}}% - {\axis@default@aspect@ratio}% - }% - \edef\axis@height{\pgfmathresult pt}% - \axis@initsizes@getYscale\into\axis@tmpYscale - \fi - \fi - \fi\fi - % IMPLEMENTATION NOTE: - % if(Xscale=empty or Yscale=empty) - % -> LOGIC ERROR above. + % + % assert( \axis@tmpXscale != \empty && \axis@tmpYscale != \empty ) % % Apply scaling: \pgfpointxy{\axis@tmpXscale}{\axis@tmpYscale}% @@ -1401,34 +2015,127 @@ \pgfsetyvec{\pgfpoint{0pt}{\axis@y}}% \fi % + % Determine final rectangle dimensions. + % There are the following cases: + % 1. the user really wants a fixed dimension, + % i.e. he used 'scale only axis'. + % Then, we have to work to get the correct dimension! + % + % Up to now, the scaling mechanism looses to many significant + % digits such that the final width/height differs by 1-2 pt. + % + % If I am not mistaken, this does ONLY affect the final size, + % not the relative plot precision. + % + % FIXME : really compute the plot precision! + % + % 2. The use specified width and/or height, but not 'scale only + % axis'. Accept inaccurate final widths/heights (see above). + % + % 3. The user supplied 'x' and or 'y'. Simply use them, its + % accurate. + % \pgfpointxy{\axis@xmin}{\axis@ymin}% \axis@xcoordminTEX=\pgf@x \axis@ycoordminTEX=\pgf@y \pgfpointxy{\axis@xmax}{\axis@ymax}% - \axis@xcoordmaxTEX=\pgf@x - \axis@ycoordmaxTEX=\pgf@y - %----------------------------------------- + \ifx\axis@rectangle@width\empty + \axis@xcoordmaxTEX=\pgf@x + \else + % this 'if' here should only make a difference of about + % 1-2pt, not more. + % + % and I am quite sure that this inaccuracy (and this + % work-around) only affects the + % final size, not the relative plot accuracy. + \axis@xcoordmaxTEX=\axis@xcoordminTEX + \expandafter\advance\expandafter\axis@xcoordmaxTEX\axis@width + \fi + \ifx\axis@rectangle@height\empty + \axis@ycoordmaxTEX=\pgf@y + \else + \axis@ycoordmaxTEX=\axis@ycoordminTEX + \expandafter\advance\expandafter\axis@ycoordmaxTEX\axis@height + \fi +%-------------------------------------------------- +% \begingroup +% \pgf@x=\axis@xcoordmaxTEX\advance\pgf@x by-\axis@xcoordminTEX +% \pgf@y=\axis@ycoordmaxTEX\advance\pgf@y by-\axis@ycoordminTEX +% \message{Axis scaling x=\axis@tmpXscale, y=\axis@tmpYscale\ yields lower-left-corner (\axis@xmin,\axis@ymin) = (\the\axis@xcoordminTEX,\the\axis@ycoordminTEX) and upper right (\axis@xmax,\axis@ymax) = (\the\axis@xcoordmaxTEX,\the\axis@ycoordmaxTEX). Axis dimensions are width=\the\pgf@x, height=\the\pgf@y.}% +% \endgroup +%-------------------------------------------------- } \def\axis@BEGIN@init@and@draw@axis{% \axis@determinedefaultvalues - % X-Achsenbeschriftung: - % LADE DIE \axis@xtick -variable REIN - \expandafter\xachse\expandafter{\axis@xtick} - % - % Y-Achsen und Achsenbeschriftung: - \expandafter\yachse\expandafter{\axis@ytick}% - - % Äußerer Rahmen: - \draw - (\axis@xcoordminTEX, \axis@ycoordminTEX) - rectangle (\axis@xcoordmaxTEX, \axis@ycoordmaxTEX); + % move the anchor to (0,0): + \expandafter\ifcase\axis@anchorchoicenum + % north: + \begin{scope}[ + yshift=-\axis@ycoordmaxTEX, + xshift=-0.5\axis@xcoordminTEX-0.5\axis@xcoordmaxTEX + ] + \or% north west: + \begin{scope}[ + yshift=-\axis@ycoordmaxTEX, + xshift=-\axis@xcoordminTEX + ] + \or% west: + \begin{scope}[ + yshift=-0.5\axis@ycoordminTEX-0.5\axis@ycoordmaxTEX, + xshift=-\axis@xcoordminTEX + ] + \or% south west: + \begin{scope}[ + yshift=-\axis@ycoordminTEX, + xshift=-\axis@xcoordminTEX + ] + \or% south: + \begin{scope}[ + yshift=-\axis@ycoordminTEX, + xshift=-0.5\axis@xcoordminTEX-0.5\axis@xcoordmaxTEX + ] + \or% south east: + \begin{scope}[ + yshift=-\axis@ycoordminTEX, + xshift=-\axis@xcoordmaxTEX + ] + \or% east: + \begin{scope}[ + yshift=-0.5\axis@ycoordminTEX-0.5\axis@ycoordmaxTEX, + xshift=-\axis@xcoordmaxTEX + ] + \or% north east: + \begin{scope}[ + yshift=-\axis@ycoordmaxTEX, + xshift=-\axis@xcoordmaxTEX + ] + \or% center + \begin{scope}[ + yshift=-0.5\axis@ycoordminTEX-0.5\axis@ycoordmaxTEX, + xshift=-0.5\axis@xcoordminTEX-0.5\axis@xcoordmaxTEX + ] + \fi \begin{scope} - \clip - (\axis@xcoordminTEX, \axis@ycoordminTEX) - rectangle (\axis@xcoordmaxTEX, \axis@ycoordmaxTEX); + \ifaxis@hide + \clip + (\axis@xcoordminTEX, \axis@ycoordminTEX) + rectangle (\axis@xcoordmaxTEX, \axis@ycoordmaxTEX); + \else + + % X-Achsenbeschriftung: + % LADE DIE \axis@xtick -variable REIN + \expandafter\axis@drawxaxis\expandafter{\axis@xtick} + % + % Y-Achsen und Achsenbeschriftung: + \expandafter\axis@drawyaxis\expandafter{\axis@ytick}% + \draw[clip] + (\axis@xcoordminTEX, \axis@ycoordminTEX) + rectangle (\axis@xcoordmaxTEX, \axis@ycoordmaxTEX); + + \fi } \def\axis@END@init@and@draw@axis{% @@ -1448,6 +2155,34 @@ }% } +\tikzdeclarecoordinatesystem{axis}{\axis@evalute@tikz@coord@system@interface#1\axis@coord@end} + + +% Assigns \pgfmathresult := canvas coordinate (#2) for axis #1. +\long\def\axis@evalute@tikz@coord@system@interface@for#1#2{% + \expandafter\let\expandafter\if@datascaled@cur\csname ifaxis@float@numerics@mode@#1\endcsname + \expandafter\ifcase\csname axis@#1mode\endcsname + \if@datascaled@cur + \csname axis@datascaletrafo@fromfixed@#1\endcsname#2\to\pgfmathresult + \else + \def\pgfmathresult{#2}% + \fi + \or + \pgfmathlog@{#2}% + \fi +} + +\long\def\axis@evalute@tikz@coord@system@interface#1,#2\axis@coord@end{% + \begingroup + \axis@evalute@tikz@coord@system@interface@for{x}{#1}% + \let\axis@evaluate@tikz@coord@x=\pgfmathresult + \axis@evalute@tikz@coord@system@interface@for{y}{#2}% + \xdef\axis@TMP{\axis@evaluate@tikz@coord@x pt}% + \xdef\axis@TMPB{\pgfmathresult pt}% + \endgroup + \pgfpointxy{\axis@TMP}{\axis@TMPB}% +} + % In case of (semi-) logplots, this command will % - assign a filter which invokes \pgfmathlog@{} for each coordinate % - replace any user-specified coordinate by its log. @@ -1455,105 +2190,285 @@ % All subsequent commands will then work with logarithmic coordinates. % % @see pgfmathlog.sty for details about the implementation of log(). -\def\axis@preparelog@filtering{% - \ifnum\axis@xmode=1 - % any user-specified axis limits: - \ifx\axis@xmin\empty - \else - \expandafter\pgfmathlog@\expandafter{\axis@xmin}% - \let\axis@xmin=\pgfmathresult - \fi - \ifx\axis@xmax\empty +% +% PRECONDITION: +% - The user input options have been set correctly, +% - the option processing has not yet begun +% +% POSTCONDITION: +% - any user input for log-axis has been replaced by its log +% - coordinate filters to compute logs are installed +% +% See also: +% \axis@apply@data@scale@trafo@to@options@for +\def\axis@prepare@coord@filtering@for#1{% + \expandafter\ifcase\csname axis@#1mode\endcsname + \ifaxis@disabledatascaling + \csname axis@float@numerics@mode@#1false\endcsname + \axis@float@numerics@modefalse \else - \expandafter\pgfmathlog@\expandafter{\axis@xmax}% - \let\axis@xmax=\pgfmathresult + \csname axis@float@numerics@mode@#1true\endcsname + \axis@float@numerics@modetrue \fi - % - % any user specified axis ticks: - \ifx\axis@xtick\empty - \else - \expandafter\axis@filter@input@ticks@with@log\expandafter{\axis@xtick}% - \edef\axis@xtick{\axis@TMP}% + \ifaxis@float@numerics@mode + % Install coordinate filters that + % - read input as normalised floating point numbers, + % - return [SIGN][MANTISSE]eEXPONENT + % Motivation: + % 1. we can compute axis limits using such data + % 2. we can remember the floating point representation for + % the data scaling transformation. + % ATTENTION: + % this here is a preprocessing step! You will need to + % apply the data scaling later! + % see + % \axis@apply@data@scaletrafo@to@plot@data + \expandafter\let\expandafter\axis@TMP\csname axis@#1filter\endcsname + \ifx\axis@TMP\empty + \expandafter\def\csname addplot@float@numerics@#1filter\endcsname##1\to##2{% + \sciparsesign{##1}\axis@tmp@S\axis@tmp@M\axis@tmp@E + \scisetcomponents{##2}\axis@tmp@S\axis@tmp@M\axis@tmp@E + \edef##2{\axis@tmp@S\axis@tmp@M e\axis@tmp@E}% + }% + \else + \expandafter\let\csname axis@#1filter@orig\endcsname=\axis@TMP + \expandafter\def\csname addplot@float@numerics@#1filter\endcsname##1\to##2{% + \csname axis@#1filter@orig\endcsname##1\to##2\relax + \ifx##2\empty + \else + \expandafter\sciparsesign\expandafter{##2}\axis@tmp@S\axis@tmp@M\axis@tmp@E + \scisetcomponents{##2}\axis@tmp@S\axis@tmp@M\axis@tmp@E + \edef##2{\axis@tmp@S\axis@tmp@M e\axis@tmp@E}% + \fi + }% + \fi + \expandafter\let\expandafter\axis@TMP\csname addplot@float@numerics@#1filter\endcsname + \expandafter\let\csname axis@#1filter\endcsname\axis@TMP + % + % Check for any existing axis limits: + \expandafter\let\expandafter\axis@TMP\csname axis@#1min\endcsname + \ifx\axis@TMP\empty + \else + \expandafter\sciparsesign\expandafter{\axis@TMP}\axis@tmp@S\axis@tmp@M\axis@tmp@E + \expandafter\scisetcomponents\csname axis@#1min\endcsname\axis@tmp@S\axis@tmp@M\axis@tmp@E + \fi + \expandafter\let\expandafter\axis@TMP\csname axis@#1max\endcsname + \ifx\axis@TMP\empty + \else + \expandafter\sciparsesign\expandafter{\axis@TMP}\axis@tmp@S\axis@tmp@M\axis@tmp@E + \expandafter\scisetcomponents\csname axis@#1max\endcsname\axis@tmp@S\axis@tmp@M\axis@tmp@E + \fi \fi - \ifx\axis@xfilter\empty - \def\addplot@log@compute@xfilter##1\to##2{% - \pgfmathlog@{##1}% - \let##2=\pgfmathresult - }% + \or + \ifaxis@disablelogfilter \else - \let\axis@xfilter@orig=\axis@xfilter - \def\addplot@log@compute@xfilter##1\to##2{% - \pgfmathlog@{##1}% - \ifx\pgfmathresult\empty - \let##2=\empty - \else - \expandafter\axis@xfilter@orig\pgfmathresult\to##2\relax - \fi - }% + % any user-specified axis limits: + \expandafter\let\expandafter\axis@TMP\csname axis@#1min\endcsname + \ifx\axis@TMP\empty + \else + \expandafter\pgfmathlog@\expandafter{\axis@TMP}% + \expandafter\let\csname axis@#1min\endcsname=\pgfmathresult + \fi + \expandafter\let\expandafter\axis@TMP\csname axis@#1max\endcsname + \ifx\axis@TMP\empty + \else + \expandafter\pgfmathlog@\expandafter{\axis@TMP}% + \expandafter\let\csname axis@#1max\endcsname=\pgfmathresult + \fi + % + % any user specified axis ticks: + \expandafter\let\expandafter\axis@TMP\csname axis@#1tick\endcsname + \ifx\axis@TMP\empty + \else + \expandafter\axis@filter@input@ticks@with@log\expandafter{\axis@TMP}% + \expandafter\edef\csname axis@#1tick\endcsname{\axis@TMP}% + \fi + % + \expandafter\let\expandafter\axis@TMP\csname axis@#1filter\endcsname + \ifx\axis@TMP\empty + \expandafter\def\csname addplot@log@compute@#1filter\endcsname##1\to##2{% + \pgfmathlog@{##1}% + \let##2=\pgfmathresult + }% + \else + \expandafter\let\csname axis@#1filter@orig\endcsname=\axis@TMP + \expandafter\def\csname addplot@log@compute@#1filter\endcsname##1\to##2{% + \pgfmathlog@{##1}% + \ifx\pgfmathresult\empty + \let##2=\empty + \else + \expandafter\expandafter\csname axis@#1filter@orig\endcsname\pgfmathresult\to##2\relax + \fi + }% + \fi + \expandafter\let\expandafter\axis@TMP\csname addplot@log@compute@#1filter\endcsname + \expandafter\let\csname axis@#1filter\endcsname\axis@TMP \fi - \def\axis@xfilter{\addplot@log@compute@xfilter}% \fi - % - \ifnum\axis@ymode=1 - % any user-specified axis limits: - \ifx\axis@ymin\empty - \else - \expandafter\pgfmathlog@\expandafter{\axis@ymin}% - \let\axis@ymin=\pgfmathresult - \fi - \ifx\axis@ymax\empty - \else - \expandafter\pgfmathlog@\expandafter{\axis@ymax}% - \let\axis@ymax=\pgfmathresult - \fi - % - % any user specified axis ticks: - \ifx\axis@ytick\empty +} + +\def\axis@create@axis@descriptions{% + \ifaxis@hide + \else + \ifx\axis@xlabel\empty \else - \expandafter\axis@filter@input@ticks@with@log\expandafter{\axis@ytick}% - \edef\axis@ytick{\axis@TMP}% + \axisshowxlabel \fi - \ifx\axis@yfilter\empty - \def\addplot@log@compute@yfilter##1\to##2{% - \pgfmathlog@{##1}% - \let##2=\pgfmathresult - }% + \ifx\axis@ylabel\empty \else - \let\axis@yfilter@orig=\axis@yfilter - \def\addplot@log@compute@yfilter##1\to##2{% - \pgfmathlog@{##1}% - \ifx\pgfmathresult\empty - \let##2=\empty - \else - \expandafter\axis@yfilter@orig\pgfmathresult\to##2\relax - \fi - }% + \axisshowylabel \fi - \def\axis@yfilter{\addplot@log@compute@yfilter}% \fi + \ifx\axis@title\empty + \else + \axisshowtitle + \fi + \axis@createlegend +} + +% DATA TRANSFORMATION T(x) = X +% +% Input: +% a number in the original data range, given in **floating** point representation +% Output: +% a fixed point number in transformed range +% @see +% \axis@datascaletrafo@x@three +% \axis@datascaletrafo@fromfixed@x +\def\axis@datascaletrafo@x#1\to#2{% + \scigetcomponents#1\axis@tmp@S\axis@tmp@M\axis@tmp@E + \axis@datascaletrafo@x@three\axis@tmp@S\axis@tmp@M\axis@tmp@E\to#2 +} + +% Overloaded function. +% Input: +% The same as above, but with Sign, Mantisse, Exponent. +% #1,#2 and #3 are expected to be MACRO NAMES. +\def\axis@datascaletrafo@x@three#1#2#3\to#4{% + \def\axis@TMP{\scimathshift{#1}{#2}{#3}}% + \expandafter\axis@TMP\expandafter{\axis@data@scale@trafo@SHIFT@x}% + \scitofixed{#1}{#2}{#3}{#4}% +} + +% Overloaded function. +% Input: +% a FIXED point number instead of a floating point one. +% @see \axis@datascaletrafo@x +\def\axis@datascaletrafo@fromfixed@x#1\to#2{% + \begingroup + \sciparsesign{#1}\axis@S\axis@M\axis@E + \axis@datascaletrafo@x@three\axis@S\axis@M\axis@E\to{#2}% + \global\let\axis@TMP=#2\relax + \endgroup + \let#2=\axis@TMP +} + +\def\axis@datascaletrafo@y#1\to#2{% + \scigetcomponents#1\axis@tmp@S\axis@tmp@M\axis@tmp@E + \axis@datascaletrafo@y@three\axis@tmp@S\axis@tmp@M\axis@tmp@E\to#2 +} +\def\axis@datascaletrafo@y@three#1#2#3\to#4{% + \def\axis@TMP{\scimathshift{#1}{#2}{#3}}% + \expandafter\axis@TMP\expandafter{\axis@data@scale@trafo@SHIFT@y}% + \scitofixed{#1}{#2}{#3}{#4}% +} +\def\axis@datascaletrafo@fromfixed@y#1\to#2{% + \begingroup + \sciparsesign{#1}\axis@S\axis@M\axis@E + \axis@datascaletrafo@y@three\axis@S\axis@M\axis@E\to{#2}% + \global\let\axis@TMP=#2\relax + \endgroup + \let#2=\axis@TMP +} + +% INVERSE transformation x = T^{-1}( X ) +% Input: +% a fixed point number in transformed domain +% Output: +% a number in the data domain, given in floating point +% representation +\def\axis@inverse@datascaletrafo@x#1\to#2{% + \expandafter\sciparsesignsingle\expandafter{#1}#2 + \edef\axis@TMP{\noexpand#2{-\axis@data@scale@trafo@SHIFT@x}}% + \expandafter\scimathshiftsingle\axis@TMP +} + +\def\axis@inverse@datascaletrafo@y#1\to#2{% + \expandafter\sciparsesignsingle\expandafter{#1}#2 + \edef\axis@TMP{\noexpand#2{-\axis@data@scale@trafo@SHIFT@y}}% + \expandafter\scimathshiftsingle\axis@TMP +} + +% Overloaded function. +% +% In contrast to \axis@inverse@datascaletrafo@x, this method +% returns a number in FIXED point representation. +% @see \axis@inverse@datascaletrafo@x +\def\axis@inverse@datascaletrafo@tofixed@x#1\to#2{% + \axis@inverse@datascaletrafo@x#1\to{#2}% + \scitofixedsingle{#2}{#2}% +} +\def\axis@inverse@datascaletrafo@tofixed@y#1\to#2{% + \axis@inverse@datascaletrafo@y#1\to{#2}% + \scitofixedsingle{#2}{#2}% } \newenvironment{axis}[1][]{% \begingroup - \begin{scope}[style=every axis] +% \def\axis@setkeys{\setkeys*[\prefix]{axis}}% +%\tracingmacros=2\tracingcommands=2 +% \message{Der every-axis-style ist gerade \csname tikz@st@every axis\endcsname}% +%\tracingmacros=0\tracingcommands=0 +% \expandafter\expandafter\expandafter\axis@setkeys + % \expandafter\expandafter\expandafter{\csname tikz@st@every axis\endcsname}% + \begin{scope}[style=every axis,% + x=1pt,y=1pt% see below + ] + % The explicit specification of 'x' and 'y' as 1pt is to avoid + % numeric overflow/underflow during scale computations: + % + % The scaling (i.e. proper values for 'x' and 'y') will be + % determined later-on, dependend on the axis limits. Since axis + % limits are implicitly in units of 1pt, it is reasonable to use + % '1pt' here as well. + % + % %-------------------------------------------------- % \draw[very thin,color=gray,xstep=1,ystep=\logten] % (\xcoordmin\axis@leftover,\ycoordmin) % grid (\xcoordmax\axis@rightover,\ycoordmax); %-------------------------------------------------- \setkeys[\prefix]{axis}{#1}% - \setkeys[\prefix]{legend}{}% % + % -------------------- + % Allocations: + % -------------------- \listnewempty\axis@plotspeclist \listnewempty\axis@legend - \listnewempty\axis@draw@stored@plots + \listnewempty\axis@stored@plot@cmds + \listnewempty\axis@stored@plot@data + \newif\ifaxis@autocompute@xlim + \newif\ifaxis@autocompute@ylim + \newif\ifaxis@filtercoords + \newif\ifaxis@float@numerics@mode@x + \newif\ifaxis@float@numerics@mode@y + \newif\ifaxis@float@numerics@mode + % rename '\ifaxis@hide axis' to mask the white space: + \expandafter\let\expandafter\ifaxis@hide\csname ifaxis@hide axis\endcsname + % the same for other options with white spaces: + \expandafter\let\expandafter\ifaxis@scale@only@axis\csname ifaxis@scale only axis\endcsname + \newif\ifaxis@draw@at@end + \newif\ifaxis@limits@are@computed + \newif\ifaxis@EMERGENCY@FORCE@DATA@TRAFO@TO@IDENTITY + \axis@numplots=0 + \let\axis@already@computed@legend@node=\empty % - \ifaxis@disablelogfilter - \else - \axis@preparelog@filtering - \fi + % -------------------- + % Option preprocessing + % -------------------- + \axis@prepare@coord@filtering@for x + \axis@prepare@coord@filtering@for y % - \newif\ifaxis@filtercoords \ifx\axis@xfilter\empty \else \axis@filtercoordstrue @@ -1562,46 +2477,66 @@ \else \axis@filtercoordstrue \fi - % - \axis@numplots=0 - % - \newif\ifaxis@autocompute@xlim - \newif\ifaxis@autocompute@ylim - \newif\ifaxis@draw@at@end - \newif\ifaxis@limits@are@computed - \axis@limits@are@computedtrue + % \ifx\axis@xmin\empty \axis@autocompute@xlimtrue \def\axis@xmin{16300}% + \ifaxis@float@numerics@mode@x + \scisetcomponents\axis@xmin{1}{1.0}{324}% + \fi \fi \ifx\axis@xmax\empty \axis@autocompute@xlimtrue \def\axis@xmax{-16300}% + \ifaxis@float@numerics@mode@x + \scisetcomponents\axis@xmax{2}{1.0}{324}% + \fi \fi \ifx\axis@ymin\empty \axis@autocompute@ylimtrue \def\axis@ymin{16300}% + \ifaxis@float@numerics@mode@y + \scisetcomponents\axis@ymin{1}{1.0}{324}% + \fi \fi \ifx\axis@ymax\empty \axis@autocompute@ylimtrue \def\axis@ymax{-16300}% + \ifaxis@float@numerics@mode@y + \scisetcomponents\axis@ymax{2}{1.0}{324}% + \fi \fi % \ifaxis@autocompute@xlim \axis@draw@at@endtrue \axis@limits@are@computedfalse + \else + \axis@limits@are@computedtrue \fi \ifaxis@autocompute@ylim \axis@draw@at@endtrue \axis@limits@are@computedfalse + \else + \axis@limits@are@computedtrue \fi % % + % -------------------- + % Start axis: + % either postponed to \end or directly. + % -------------------- + % \ifaxis@draw@at@end \else \axis@BEGIN@init@and@draw@axis \fi }{% + %\end{axis}: + % -------------------- + % All plotting commands + % have been done. + % -> apply postponed drawing commands! + % -------------------- \ifaxis@draw@at@end \ifaxis@limits@are@computed \else @@ -1612,7 +2547,20 @@ \def\axis@ymax{1}% \fi \axis@BEGIN@init@and@draw@axis - \listforeach\axis@draw@stored@plots\as\plotcmd{\plotcmd}% + \listforeach\axis@stored@plot@cmds\as\plotcmd{% + \listpopfront\axis@stored@plot@data\to\plotdata + \ifaxis@float@numerics@mode + \ifx\plotcmd\empty + \plotdata + \else + % Apply the data scaling transformation + \expandafter\axis@apply@data@scaletrafo@to@plot@data\plotdata\to\plotdata + \expandafter\plotcmd\plotdata + \fi + \else + \expandafter\plotcmd\plotdata + \fi + }% \fi \axis@END@init@and@draw@axis % @@ -1622,20 +2570,9 @@ x={\axis@xcoordmaxTEX-\axis@xcoordminTEX}, y={\axis@ycoordmaxTEX-\axis@ycoordminTEX} ]% - \ifx\axis@xlabel\empty - \else - \axisshowxlabel - \fi - \ifx\axis@ylabel\empty - \else - \axisshowylabel - \fi - \ifx\axis@title\empty - \else - \axisshowtitle - \fi - \axis@createlegend + \axis@create@axis@descriptions \end{scope}% + \end{scope}% this scope starts inside of \axis@BEGIN@init@and@draw@axis % \end{scope}% \endgroup diff --git a/Master/texmf-dist/tex/latex/pgfplots/pgfplotshelpers.sty b/Master/texmf-dist/tex/latex/pgfplots/pgfplotshelpers.sty index 203f16379ee..304448fbef4 100644 --- a/Master/texmf-dist/tex/latex/pgfplots/pgfplotshelpers.sty +++ b/Master/texmf-dist/tex/latex/pgfplots/pgfplotshelpers.sty @@ -22,7 +22,9 @@ % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\ProvidesPackage{pgfplotshelpers}[2008/31/01 Version 0.9] +\ProvidesPackage{pgfplotshelpers}[2008/02/17 Version 0.9.4] + +\newtoks\pgfplots@toka \def\prettyprintnumberprecision{2} @@ -54,10 +56,11 @@ % It uses \prettyprintnumberprecision digits after the comma. \def\prettyprintnumber#1{% \begingroup -%\tracingmacros=2\tracingcommands=2 - \edef\argument{#1}% - \expandafter\prettyprintnumber@impl\argument.\END -%\tracingmacros=0\tracingcommands=0 +% \edef\argument{#1}% +% \expandafter\prettyprintnumber@impl\argument.\END + \edef\argument{#1\noexpand\prec\prettyprintnumberprecision}% + \expandafter\fixedpointround\argument\to\result + \result \endgroup } diff --git a/Master/texmf-dist/tex/latex/pgfplots/sciformat.sty b/Master/texmf-dist/tex/latex/pgfplots/sciformat.sty new file mode 100644 index 00000000000..493aca948d1 --- /dev/null +++ b/Master/texmf-dist/tex/latex/pgfplots/sciformat.sty @@ -0,0 +1,861 @@ +%-------------------------------------------- +% +% Package sciformat.sty +% +% Provides support for floating point number representations of the +% form +% +% S * M * 10^e +% +% with S in [-,+,0], 0. +% +%-------------------------------------------- +\ProvidesPackage{sciformat}[2008/02/17 v.0.9.4] +\RequirePackage{pgf}[2007/01/01] +\RequirePackage{pgfplotshelpers}[2008/02/17] + +% Computes a normalised floating point representation for #1 of the +% form +% [+-]X.XXXXXXX*10^C +% where +% X.XXXXXX is a mantisse with first number != 0 +% and C is a count. +% +% This method does NOT use TeX Registers to represent the numbers! The +% computation is COMPLETELY STRING BASED. +% This allows numbers such at 10000000 or 5.23e-10 to be represented +% properly, although TeX-registers would produce overflow/underflow +% errors in these cases. +% +% It is to be used to compute logs, because log(X*10^Y) = log(X) + log(10)*Y +% +% Arguments: +% #1 a -possibly non-normalized- number representation. Accepted input +% format is +% [+-]XXXXX.XXXXXX +% [+-]XXXXX.XXXXXXeXXXX +% [+-]0.0000XXXXXX +% [+-]0.0000XXXXXXeXXXX +% NOT accepted input format is +% [+-]0000.XXXXXX [leading zeros not supported] +% [+-]XXXXX.XXXXXXEXXXXX [E notation not yet implemented] +% #2 a macro name. \def#2{.....} will be used to assign the mantisse. +% #3 a macro name. \def#3{.....} will be used to assign the exponent (base 10). +% +% Example: +% \def\normalize#1{% +% \sciparse#1\to\M\powten\E +% \[ #1 \mapsto \M\cdot 10^{\E} \] +% } +% \normalize{123.41251}% +% \normalize{3.26101452e-06}% +% +% REMARKS: +% - the mantisse will ALWAYS have a period and one following number. +% - Special case: the number +- 0 will always have the mantisse 0.0. The sign and +% the exponent is undefined. +\def\sciparse#1\to#2\powten#3{% + \begingroup + \sciparse@impl@possibly@signed#1\to#2\powten{#3}% + \xdef\sciparseTMP{% + \noexpand\def\noexpand#2{#2}% + \noexpand\def\noexpand#3{#3}% + }% + \endgroup + \sciparseTMP +} + +% Overloaded scientific parser. +% +% In addition to '\sciparse', this method checks for '+- 0' cases +% and sets #2 accordingly. +% +% \S #2: will be \def'ed to one of [0,1,2] with +% 0 == '0', ( \def#2{0} ) +% 1 == '+', +% 2 == '-', +% -> can be used with \ifcase +% \M #3: will be filled with a positive mantisse (undefined in case \S=0). +% \E #4: the exponent basis 10 (an integer). Undefined in case \S = 0. +% +% Example: +% \sciparsesign141.212\S\M\E +% -> \S = 1, \M = 1.41212, \E =2 +% +\def\sciparsesign#1#2#3#4{% + \begingroup + \sciparsesign@impl@possibly@signed#1\S#2\M#3\E{#4}% + \def\sciparseTMP{0}% + \ifx\sciparseTMP#2\relax + \def#4{0}% + \fi + \xdef\sciparseTMP{% + \noexpand\def\noexpand#2{#2}% + \noexpand\def\noexpand#3{#3}% + \noexpand\def\noexpand#4{#4}% + }% + \endgroup + \sciparseTMP +} + +\def\sciparsesignsingle#1#2{% + \begingroup + \sciparsesign{#1}\sci@S\sci@M\sci@E + \xdef\sciparseTMP{\noexpand\scisetcomponents{\noexpand#2}{\sci@S}{\sci@M}{\sci@E}}% + \endgroup + \sciparseTMP +} + +% Compares +% x = Sign(#1) #2 * 10^#3 +% with +% y = Sign(#4) #5 * 10^#6 +% +% example: +% \scimathlessthan\S\M\E\and\SS\MM\EE +% \ifscimathlessthan +% is smaller! +% \else +% is not smaller. +% \fi +% +% and sets the boolean +% \ifscimathlessthan := (x (x y >0) + \ifnum1=\S@second + \aftergroup\scimathlessthantrue + \fi + \or + % x > 0 -> (x ( y > 0 && |x| < |y|) ) + \ifnum1=\S@second + % y>0: + \scimathlessthan@positive\M#2\E#3\MM#5\EE{#6}% + \fi + \or + % x < 0 -> (x (y >= 0 || |x| > |y|) ) + \ifnum2=\S@second + % 'y<0': + \scimathlessthan@positive\M#5\E#6\MM#2\EE{#3}% + \else + \aftergroup\scimathlessthantrue + \fi + \fi + \endgroup +} + +\def\scimathmax#1#2#3\and#4#5#6\to#7#8#9{% + \scimathlessthan#1#2#3\and#4#5#6\relax + \ifscimathlessthan + \let#7=#4 + \let#8=#5 + \let#9=#6 + \else + \let#7=#1 + \let#8=#2 + \let#9=#3 + \fi +} + +\def\scimathmin#1#2#3\and#4#5#6\to#7#8#9{% + \scimathlessthan#1#2#3\and#4#5#6\relax + \ifscimathlessthan + \let#7=#1 + \let#8=#2 + \let#9=#3 + \else + \let#7=#4 + \let#8=#5 + \let#9=#6 + \fi +} + +% Takes \S, \M and \E as sign, mantisse and exponent and computes a +% fixed point representation for that number. +% +% example: +% \S=1 +% \M=4.2 +% \E=1 +% \scitofixed\S\M\E\result +% -> 42.0 +\def\scitofixed#1#2#3#4{% + \begingroup + \let\sci@sign=\c@pgf@counta + \sci@sign\expandafter=#1\relax + \ifnum0=\sci@sign + \xdef\sciparseTMP{0.0}% + \else + \expandafter\scitofixed@impl#2\E#3\END + \ifnum2=\sci@sign + \xdef\sciparseTMP{-\sciparseTMP}% + \fi + \fi + \endgroup + \let#4=\sciparseTMP +} + +% Single macro SCI-representation to #2. +\def\scitofixedsingle#1#2{% + \begingroup + \scigetcomponents{#1}\sci@S\sci@M\sci@E + \scitofixed\sci@S\sci@M\sci@E{#2}% + \global\let\sciparseTMP=#2% + \endgroup + \let#2=\sciparseTMP +} + +% Takes a SINGLE macro representing a floating point and extracts +% sign, mantisse and exponent. +% #1: the name of the single macro. +% The expansion of #1 is COMPLETELY independend of associated +% floating point number. You can even use \def#1{foo bar} +% so change the meaning of #1 without affecting the number. +% #2: will be set to #1's sign +% #3: will be set to #1's mantisse +% #4: will be set to #1's exponent +% +% @see scisetcomponents +\def\scigetcomponents#1#2#3#4{% + \expandafter\let\expandafter#2\csname\string#1@S\endcsname + \expandafter\let\expandafter#3\csname\string#1@M\endcsname + \expandafter\let\expandafter#4\csname\string#1@E\endcsname +} + +% Assigns sign #2, mantisse #3 and exponent #4 to a single macro +% representing the floating point. +% +% #1: the target name. Will create macros #1@S, #1@M and #1@E +% which will be filled with #2, #3 and #4. +% +% Remark: +% It is perfectly save to use the macro name #1 for other uses since +% only the '@{S,M,E}' - macros are used to maintain the numerical +% information. +% +% @see scigetcomponents +\def\scisetcomponents#1#2#3#4{% + \expandafter\edef\csname\string#1@S\endcsname{#2}% + \expandafter\edef\csname\string#1@M\endcsname{#3}% + \expandafter\edef\csname\string#1@E\endcsname{#4}% +} + +% Divides or multiplies the input number by 10^#4 using an arithmetic +% left/right shift. +% +% Input: +% #1 Sign macro +% #2 Mantisse macro +% #3 exponent macro +% #4 a positive or negative integer number denoting the shift. +% +% Example: +% \scimathshift\S\M\E4 +\def\scimathshift#1#2#3#4{% + \begingroup + \c@pgf@counta\expandafter=#3\relax + \advance\c@pgf@counta by#4\relax + \xdef\sciparseTMP{\the\c@pgf@counta}% + \endgroup + \let#3=\sciparseTMP +} + +\def\scimathshiftsingle#1#2{% + \begingroup + \expandafter\let\expandafter\E\csname\string#1@E\endcsname + \c@pgf@counta\expandafter=\E\relax + \advance\c@pgf@counta by#2\relax + \xdef\sciparseTMP{\the\c@pgf@counta}% + \endgroup + \expandafter\let\csname\string#1@E\endcsname\sciparseTMP% +} + + +% Rounds a fixed point number #1 to #2 digits precision and returns +% the result into macro #3. +% +% This method is PURELY text based and can work with arbirtrary +% precision (well, limited to TeX's stack size and integer size). +\def\fixedpointround#1\prec#2\to#3{% + \begingroup + \pgfplots@toka={}% + \let\fp@round@next=\empty + \let\fp@round@prec=\c@pgf@countb + \let\fp@offsetbehindperiod=\c@pgf@counta + \let\fp@round@lastzeros=\c@pgf@countc + \let\fp@round@trg=#3\relax + \def\fp@round@input{#1}% + \fp@round@prec=#2\relax + \fp@round@lastzeros=0 + \fp@offsetbehindperiod=-1 % means: no period found so far + \fixedpointround@impl@ITERATE@NODOT #1\fp@round@EOI + \xdef\sciparseTMP{\fp@round@trg}% + \endgroup + \let#3=\sciparseTMP +} + + + +%%%%%%%%%%%%%%%%%%%%%%%%%% +% +% IMPL +% +%%%%%%%%%%%%%%%%%%%%%%%%%% + +% \fixedpointround implementation in WORDS: +% +% coarse idea: +% 1. collect all digits/sign BEFORE the first period in REVERSE order +% 2. then, collect UP TO \prec digits after the period in REVERSE order +% Steps 1. and 2. lead to the digit [sign] sequence +% "x_{-p} x_{-p+1} ... x_{-2} x_{-1} '.' x_0 ... x_r" +% where 'r' is the total number of digits. The integer 'p' denotes the +% ACTUALLY collected number of digits behind the period. +% +% Let 'k' be the desired precision. +% +% There are exactly TWO cases: +% 1. The case with p<=k and x_{-p-1} = end of input. +% 2. The case with p=k and x_{-p-1} is a further, next character. +% +% Then, we do in case 1.) +% discard any unused zeros at the tail of our number (possibly +% including the period) +% +% and in case 2.) +% if NEXT DIGIT < 5: +% do exactly the same as in case 1.) above and discard any +% following digits. +% else +% let q := -p +% while(x_q = 9 and q<=r ) +% if q>=0 +% set x_q = '0' +% else +% discard digit x_q='9' +% fi +% ++q +% if q=0 +% discard the period +% fi +% end while +% if q = r+1 +% insert a '1' +% else +% set x_q = x_q + 1 +% fi +% fi +% +% All these loops have been implemented in spaghetti-code below. +% Sorry, I fear its hard to understand. In principle, everything is +% realised using more or less finite state machines (with some number +% counting logic). +% +% Some comments: +% - The token register \pgfplots@toka is used to accumulate the REVERSED input number. +% - \fp@round@EOI always denotes 'END OF INPUT'. +% - in the second stage, we need to reverse \pgfplots@toka. +% This is -again- done with \pgfplots@toka. + +\def\fixedpointround@impl@discard@period#1.#2\fp@round@EOI{% + \def\fp@round@trg{#1}% +} + +\def\fixedpointround@impl@gobble@rest@and@start#1\fp@round@EOI{% + \fixedpointround@impl@start +} +\def\fixedpointround@impl@gobble@and@start\fp@round@EOI{% + \fixedpointround@impl@start +} +\def\fixedpointround@impl@gobble\fp@round@EOI{}% + +\def\fixedpointround@impl@start{% + \ifx\fp@round@next\empty + \ifnum\fp@offsetbehindperiod<0 + \edef\fp@round@trg{\fp@round@input}% + \else + \ifnum\fp@offsetbehindperiod>\fp@round@prec + \errmessage{Internal logic error in fixedpointround at [I] - should not have happened!?}% + \fi + \fixedpointround@impl@discard@suffix@zeros + \fi + \else + \ifnum\fp@offsetbehindperiod=\fp@round@prec + \else + \errmessage{Internal logic error in fixedpointround at [II] - should not have happened!? I have offsetbehindperiod=\the\fp@offsetbehindperiod and prec = \the\fp@round@prec}% + \fi + \expandafter\ifnum\fp@round@next<5 + \fixedpointround@impl@discard@suffix@zeros + \else + \multiply\fp@offsetbehindperiod by-1 + %\edef\fp@round@trg{B\the\pgfplots@toka B}% + \expandafter\fixedpointround@impl@ADD@ONE\the\pgfplots@toka\fp@round@EOI + \fi + \fi +} + +\def\fixedpointround@impl@ADD@ONE{% + \pgfplots@toka={}% + \fixedpointround@impl@ADD@ONE@ITERATE +} +\def\fixedpointround@impl@ADD@ONE@ITERATE{% + \@ifnextchar\fp@round@EOI{% + \edef\fp@round@trg{1\the\pgfplots@toka}% + \fixedpointround@impl@gobble + }{% + \@ifnextchar.{% + \fixedpointround@impl@ADD@ONE@NEXT@COLLECT + }{% + \@ifnextchar+{% + \fixedpointround@impl@ADD@ONE@NEXT@COLLECT + }{% + \@ifnextchar-{% + \fixedpointround@impl@ADD@ONE@NEXT@COLLECT + }{% + \fixedpointround@impl@ADD@ONE@NEXT + }% + }% + }% + }% +} + +\def\fixedpointround@impl@ADD@ONE@ITERATE@gobble@dot.{% + \fixedpointround@impl@ADD@ONE@ITERATE +} + +\def\fixedpointround@impl@ADD@ONE@NEXT@COLLECT#1{% + \pgfplots@toka=\expandafter{\expandafter#1\the\pgfplots@toka}% + \fixedpointround@impl@ADD@ONE@ITERATE +} +\def\fixedpointround@impl@ADD@ONE@NEXT#1{% + \ifnum#1=9 + \ifnum\fp@offsetbehindperiod<0 + % silently DROP digit + \else + \pgfplots@toka=\expandafter{\expandafter0\the\pgfplots@toka}% + \fi + \advance\fp@offsetbehindperiod by1 + \ifnum\fp@offsetbehindperiod=0 + \def\fp@round@nextcmd{\fixedpointround@impl@ADD@ONE@ITERATE@gobble@dot}% + \else + \def\fp@round@nextcmd{\fixedpointround@impl@ADD@ONE@ITERATE}% + \fi + \else + % re-use this counter: + \fp@round@lastzeros=#1 + \advance\fp@round@lastzeros by1 + \edef\fp@round@trg{\the\fp@round@lastzeros\the\pgfplots@toka}% + \pgfplots@toka=\expandafter{\fp@round@trg}% + \def\fp@round@nextcmd{\fixedpointround@impl@REVERSE@ITERATE}% + \fi + \fp@round@nextcmd +} + + +\def\fixedpointround@impl@discard@suffix@zeros{% + \ifnum\fp@round@lastzeros=\fp@offsetbehindperiod + \expandafter\fixedpointround@impl@discard@period\fp@round@input\fp@round@EOI + \else + \ifnum\fp@round@lastzeros=0 + \expandafter\fixedpointround@impl@REVERSE\the\pgfplots@toka\fp@round@EOI + \else + \expandafter\fixedpointround@impl@discard@suffix@zeros@ITERATE\the\pgfplots@toka\fp@round@EOI + \fi + \fi +} + +% PRECONDITION: +% \fp@round@lastzeros > 0 +\def\fixedpointround@impl@discard@suffix@zeros@ITERATE#1{% + \advance\fp@round@lastzeros by-1 + \ifnum\fp@round@lastzeros=0 + \def\fp@round@nextcmd{\fixedpointround@impl@REVERSE}% + \else + \def\fp@round@nextcmd{\fixedpointround@impl@discard@suffix@zeros@ITERATE}% + \fi + \fp@round@nextcmd +} + +\def\fixedpointround@impl@REVERSE{% + \pgfplots@toka={}% + \fixedpointround@impl@REVERSE@ITERATE +} + +\def\fixedpointround@impl@REVERSE@ITERATE{% + \@ifnextchar\fp@round@EOI{% + \edef\fp@round@trg{\the\pgfplots@toka}% + \fixedpointround@impl@gobble + }{% + \fixedpointround@impl@REVERSE@NEXT + }% +} + +\def\fixedpointround@impl@REVERSE@NEXT#1{% + \pgfplots@toka=\expandafter{\expandafter#1\the\pgfplots@toka}% + \fixedpointround@impl@REVERSE@ITERATE +} + +\def\fixedpointround@impl@BEGIN@DOT.{% + \pgfplots@toka=\expandafter{\expandafter.\the\pgfplots@toka}% + \fp@offsetbehindperiod=0 + \fixedpointround@impl@ITERATE@DOT +} +\def\fixedpointround@impl@ITERATE@DOT{% + \@ifnextchar\fp@round@EOI{% + % finished. + \fixedpointround@impl@gobble@and@start + }{% + \fixedpointround@impl@NEXT@DOT + }% +} +\def\fixedpointround@impl@NEXT@DOT#1{% + \ifnum\fp@offsetbehindperiod=\fp@round@prec + \def\fp@round@next{#1}% + \def\fp@round@nextcmd{\fixedpointround@impl@gobble@rest@and@start}% + \else + \advance\fp@offsetbehindperiod by1 + \ifnum#1=0 + \advance\fp@round@lastzeros by1 + \else + \fp@round@lastzeros=0 + \fi + \pgfplots@toka=\expandafter{\expandafter#1\the\pgfplots@toka}% + \def\fp@round@nextcmd{\fixedpointround@impl@ITERATE@DOT}% + \fi + \fp@round@nextcmd +}% + +\def\fixedpointround@impl@ITERATE@NODOT{% + \@ifnextchar\fp@round@EOI{% + \fixedpointround@impl@gobble@and@start + }{% + \@ifnextchar.{% + \fixedpointround@impl@BEGIN@DOT + }{% + \fixedpointround@impl@NEXT@NODOT + }% + }% +} +\def\fixedpointround@impl@NEXT@NODOT#1{% + \pgfplots@toka=\expandafter{\expandafter#1\the\pgfplots@toka}% + \fixedpointround@impl@ITERATE@NODOT +}% + +%-------------------------------------------- +% END of fixedpointround implementation. +%-------------------------------------------- + +\newif\ifscimathlessthan + +% first character MAY be + or -. This is checked, then +% \sciparse@impl@positive will be called for the +% absolute value. The sign is inserted afterwards. +\def\sciparse@impl@possibly@signed#1#2\to#3\powten#4{% + \def\sciparseTMP{#1}% + \def\sciparseTMPB{-}% + \if\sciparseTMP\sciparseTMPB + \sciparse@impl@positive@possibly@noperiod#2.\to#3\powten#4\S\sciparseTMPB% + \edef#3{-#3}% + \else + \def\sciparseTMPB{+}% + \if\sciparseTMP\sciparseTMPB + \sciparse@impl@positive@possibly@noperiod#2.\to#3\powten#4\S\sciparseTMPB% + \else + \sciparse@impl@positive@possibly@noperiod#1#2.\to#3\powten#4\S\sciparseTMPB% + \fi + \fi +} + +% the same as above, only the return value is different. +\def\sciparsesign@impl@possibly@signed#1#2\S#3\M#4\E#5{% + \def\sciparseTMP{#1}% + \def\sciparseTMPB{-}% + \if\sciparseTMP\sciparseTMPB + \def#3{2}% + \sciparse@impl@positive@possibly@noperiod#2.\to#4\powten#5\S#3% + \else + \def#3{1}% + \def\sciparseTMPB{+}% + \if\sciparseTMP\sciparseTMPB + \sciparse@impl@positive@possibly@noperiod#2.\to#4\powten#5\S#3% + \else + \sciparse@impl@positive@possibly@noperiod#1#2.\to#4\powten#5\S#3% + \fi + \fi +} + +% XXXX -> XXXX.0 +% XXXX.YYY -> XXXX.YYYY +\def\sciparse@impl@positive@possibly@noperiod#1.#2\to#3\powten#4\S#5{% +%\tracingmacros=2\tracingcommands=2 + \def\sciparseTMP{#2}% + \ifx\sciparseTMP\empty + \sciparse@impl@positive@noperiod@possibly@SCI#1e\to#3\powten#4\S{#5}% + \else + \expandafter\sciparse@impl@positive\sciformat@pop@last@of@two@dots#1.#2\to#3\powten#4\S{#5}% + \fi +} +\def\sciformat@pop@last@of@two@dots#1.#2.{#1.#2}% + +\def\sciparse@impl@positive@noperiod@possibly@SCI#1e#2\to#3\powten#4\S#5{% + \def\sciparseTMP{#2}% + \ifx\sciparseTMP\empty + % this case applies to + % 1234 -> 1234.0 + \sciparse@impl@positive#1.0\to#3\powten#4\S{#5}% + \else + % this case applies to + % 1e1 -> 1.0e1 + % in this case, #1e#2 = 1e1e, so we have to discard a suffix 'e'. + \edef\sciparseTMP{#1.0e\sciformat@popsuffix@e@expansion#2}% + \expandafter\sciparse@impl@positive\sciparseTMP\to#3\powten#4\S{#5}% + \fi +} + +% XXXXX.XXXXX -> X.XXXXXXX * 10^4 +% 0.0000XXXXX -> X.XXXX * 10^{-5} +% +% or +% XXXX.XXXXXeYYY -> X.XXXXXX* 10^{3+YYY} +% 0.0000XXXXeYYY -> X.XXX* 10^{-5+YYY} +% +% this version does not accept a sign. A period is required. +% +% The return value #6 will be \def'ed to '0' if the resulting mantisse is '0'. +% Won't be touched otherwise. +\def\sciparse@impl@positive#1#2.#3\to#4\powten#5\S#6{% +% \begingroup +% FIXME! restore variables!! +%\tracingmacros=2\tracingcommands=2 +%\tracingmacros=0\tracingcommands=0 + \sciparse@positive@getexisting@exponent@e#3e\preexponentto\preexponentstring\exponenttocount\c@pgf@counta + % will \c@pgf@counta will be initialised in the line above + % \c@pgf@counta=0 + \ifnum#1=0 + % the case 0.0000XXXX + % does also handle 0.0000XXXXeXXX + \def\sciparseTMP{#2}% + \ifx\sciparseTMP\empty + \c@pgf@countb=0 + \expandafter\sciformat@count@leading@zeros\preexponentstring\to\c@pgf@countb + \advance\c@pgf@countb by1 + \advance\c@pgf@counta by-\c@pgf@countb + \edef#5{\the\c@pgf@counta}% + \expandafter\sciformat@assignmantisse\preexponentstring\to#4\countdownzerosfrom\c@pgf@countb\S{#6}% + \else + % the case 000.0000XXXXX + % is not allowed and does not make sense. + \errmessage{INVALID NUMBER FORMAT: leading zeros 00*.* not supported yet}% + \fi + \else + % the case NXXXXX.XXXXXXX + % or NXXXXXX.XXXXXXeXXXX + % where N in [1-9] + \sciformat@strlen#1#2\to\c@pgf@counta + \advance\c@pgf@counta by-1 + \edef#4{#1.#2\preexponentstring}% + \edef#5{\the\c@pgf@counta}% + \fi +%\tracingmacros=0\tracingcommands=0 +% \endgroup +} + +% parses scientific notation and returns the exponent and everything +% before the exponent like +% +% XXXXXXXeYYYY -> \def#2{XXXXXXX} #3=YYYY +% or +% XXXXXXXXe -> \def#2{XXXXXXXX} #3=0 +% +% Examples: +% - \sciparse@exponent@e123456e\preexponentto\M\exponenttocount\acount +% \M->123456 +% \acount=0 +% Please note that the input was 123456e -> at least 'e' is expected! +% +% - \sciparse@exponent@e123456e-10e\preexponentto\M\exponenttocount\acount +% \M->123456 +% \acount=-10 +% Again, the suffix 'e' is REQUIRED. This allows to reduce \ifs. +\def\sciparse@positive@getexisting@exponent@e#1e#2\preexponentto#3\exponenttocount#4{% + \def#3{#1}% + \def\sciparseTMP{#2}% + \ifx\sciparseTMP\empty + #4=0 + \else + \sciformat@popsuffix@e#2\tocount{#4}% + \fi +} + +% XXXXXe -> #2=XXXXX where X in [+-0-9]. +\def\sciformat@popsuffix@e#1e\tocount#2{% + #2=#1 +} + +\def\sciformat@popsuffix@e@expansion#1e{% + #1% +}% + +% 00000XXXXXX -> X.XXXXX +% Inputs: +% #1 = 00000XXXXXX +% #2 a macro name +% #3 a count in which the number of zeros plus one is contained (i.e. +% the number of shifts). +% #4 a macro name which will be \def'ed to '0' if the resulting +% mantisse is 0. Won't be touched otherwise. +\def\sciformat@assignmantisse#1\to#2\countdownzerosfrom#3\S#4{% + \pgfplots@toka={#1}% + \loop + \ifnum#3=1 + \else + \expandafter\sciformat@popfirst\the\pgfplots@toka\to{\pgfplots@toka}% + \advance#3 by-1 + \repeat + \edef\sciformat@assignmantisseTMP{\the\pgfplots@toka}% + \ifx\sciformat@assignmantisseTMP\empty + % The case 0.0 * 10^0 + \def#2{0.0}% + \def#4{0}% + \else + \expandafter\sciformat@insertperiod\the\pgfplots@toka\to{#2}% + \fi +} + +% XXXXXX -> X.XXXXX into #3 +\def\sciformat@insertperiod#1#2\to#3{% + \def\sciparseTMP{#2}% + \ifx\sciparseTMP\empty + \def#3{#1.0}% + \else + \def#3{#1.#2}% + \fi +} + +% discards the first token. +\def\sciformat@popfirst#1#2\to#3{% + #3={#2}% +} + +% adds the string length of #1#2 into the count register #3. +% +% The register won't be initialised to zero! +\def\sciformat@strlen#1#2\to#3{% + \advance#3 by1 + \def\sciparseTMP{#2}% + \ifx\sciparseTMP\empty + \else + \sciformat@strlen#2\to{#3}% + \fi +} + +% Adds the number of leadings zeros of #1#2 into the count register +% #3. +% +% The register won't be initialised to zero! +\def\sciformat@count@leading@zeros#1#2\to#3{% + \ifnum#1=0 + \advance#3 by1 + \def\sciparseTMP{#2}% + \ifx\sciparseTMP\empty + \else + \sciformat@count@leading@zeros#2\to{#3}% + \fi + \fi +} + + + + + + +\def\scimathlessthan@positive\M#1\E#2\MM#3\EE#4{% + \c@pgf@counta\expandafter=#2\relax + \c@pgf@countb\expandafter=#4\relax + \ifnum\c@pgf@counta<\c@pgf@countb + \aftergroup\scimathlessthantrue + \else + \ifnum\c@pgf@counta=\c@pgf@countb\relax + \pgfmath@xa\expandafter=#1 pt\relax + \pgfmath@xb\expandafter=#3 pt\relax + \ifdim\pgfmath@xa<\pgfmath@xb + \aftergroup\scimathlessthantrue + \fi + \fi + \fi +} + +\def\scitofixed@impl#1.#2\E#3\END{% + \let\scitofixed@exponent=\c@pgf@countb + \scitofixed@exponent\expandafter=#3\relax + \ifnum\scitofixed@exponent<0 + \pgfplots@toka={0.}% + \loop + \ifnum\scitofixed@exponent<-1 + \pgfplots@toka=\expandafter{\the\pgfplots@toka 0}% + \advance\scitofixed@exponent by1 + \repeat + \def\sciparseTMPB{#2}% + \def\sciparseTMPC{0}% + \ifx\sciparseTMPB\sciparseTMPC + \xdef\sciparseTMP{\the\pgfplots@toka #1}% + \else + \xdef\sciparseTMP{\the\pgfplots@toka #1#2}% + \fi + \else + \ifnum\scitofixed@exponent=0 + \xdef\sciparseTMP{#1.#2}% + \else + \pgfplots@toka={#1}% + \scitofixed@impl@collectmantisse#2\count\scitofixed@exponent + \xdef\sciparseTMP{\the\pgfplots@toka}% + \fi + \fi +} + +\def\scitofixed@impl@collectmantisse#1#2\count#3{% + \pgfplots@toka=\expandafter{\the\pgfplots@toka #1}% + \advance\scitofixed@exponent by-1 + \def\sciparseTMPB{#2}% + \ifx\sciparseTMPB\empty + \loop + \ifnum\scitofixed@exponent>0 + \pgfplots@toka=\expandafter{\the\pgfplots@toka 0}% + \advance\scitofixed@exponent by-1 + \repeat + \else + \ifnum\scitofixed@exponent=0 + \pgfplots@toka=\expandafter{\the\pgfplots@toka .#2}% + \else + \scitofixed@impl@collectmantisse#2\count#3% + \fi + \fi +} -- cgit v1.2.3