diff options
| author | Karl Berry <karl@freefriends.org> | 2008-02-18 00:19:53 +0000 |
|---|---|---|
| committer | Karl Berry <karl@freefriends.org> | 2008-02-18 00:19:53 +0000 |
| commit | 957aeb141e1e62fc19b0aedb3bc36ad058226250 (patch) | |
| tree | 8fb60c82c7d6811bcf6ea09b7d9d575093c959bd /Master/texmf-dist/doc/latex/pgfplots | |
| parent | b769336d7ffd1dc4d9b838487a070b86eab16060 (diff) | |
pgfplots update (17feb08)
git-svn-id: svn://tug.org/texlive/trunk@6666 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/doc/latex/pgfplots')
17 files changed, 15020 insertions, 11910 deletions
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.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.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 +++ 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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/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/manual.bib b/Master/texmf-dist/doc/latex/pgfplots/pgfplots.bib index 4eb003d9fe0..4eb003d9fe0 100644 --- a/Master/texmf-dist/doc/latex/pgfplots/manual.bib +++ b/Master/texmf-dist/doc/latex/pgfplots/pgfplots.bib 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/manual.install.tex b/Master/texmf-dist/doc/latex/pgfplots/pgfplots.install.tex index df1f42789b6..0761f12be9c 100644 --- a/Master/texmf-dist/doc/latex/pgfplots/manual.install.tex +++ b/Master/texmf-dist/doc/latex/pgfplots/pgfplots.install.tex @@ -25,16 +25,21 @@ You may also visit~\url{http://www.gnu.org/licenses}. 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 +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 -shellscripts/pgf2pdf.sh +ext_scripts/pgf2pdf.sh +ext_scripts/matlab2pgfplots.m +ext_scripts/matlab2pgfplots.sh \end{lstlisting} If is used with \begin{lstlisting} diff --git a/Master/texmf-dist/doc/latex/pgfplots/manual.intro.tex b/Master/texmf-dist/doc/latex/pgfplots/pgfplots.intro.tex index 0a1d34d2ccf..0a1d34d2ccf 100644 --- 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0 R +/Parent 347 0 R +/Prev 351 0 R +/Next 359 0 R +>> endobj +351 0 obj << +/Title 352 0 R +/A 349 0 R +/Parent 347 0 R +/Next 355 0 R +>> endobj +347 0 obj << +/Title 348 0 R +/A 345 0 R +/Parent 1775 0 R +/Prev 267 0 R +/First 351 0 R +/Last 359 0 R +/Count -3 +>> endobj +343 0 obj << +/Title 344 0 R +/A 341 0 R +/Parent 267 0 R +/Prev 339 0 R +>> endobj +339 0 obj << +/Title 340 0 R +/A 337 0 R +/Parent 267 0 R +/Prev 335 0 R +/Next 343 0 R +>> endobj +335 0 obj << +/Title 336 0 R +/A 333 0 R +/Parent 267 0 R +/Prev 323 0 R +/Next 339 0 R +>> endobj +331 0 obj << +/Title 332 0 R +/A 329 0 R +/Parent 323 0 R +/Prev 327 0 R +>> endobj +327 0 obj << +/Title 328 0 R +/A 325 0 R +/Parent 323 0 R +/Next 331 0 R +>> endobj +323 0 obj << +/Title 324 0 R +/A 321 0 R +/Parent 267 0 R +/Prev 311 0 R +/Next 335 0 R +/First 327 0 R +/Last 331 0 R +/Count -2 +>> endobj +319 0 obj << +/Title 320 0 R +/A 317 0 R +/Parent 311 0 R +/Prev 315 0 R +>> endobj +315 0 obj << +/Title 316 0 R +/A 313 0 R +/Parent 311 0 R +/Next 319 0 R +>> endobj +311 0 obj << +/Title 312 0 R +/A 309 0 R +/Parent 267 0 R +/Prev 299 0 R +/Next 323 0 R +/First 315 0 R +/Last 319 0 R +/Count -2 +>> endobj +307 0 obj << +/Title 308 0 R +/A 305 0 R +/Parent 299 0 R +/Prev 303 0 R +>> endobj +303 0 obj << +/Title 304 0 R +/A 301 0 R +/Parent 299 0 R +/Next 307 0 R +>> endobj +299 0 obj << +/Title 300 0 R +/A 297 0 R +/Parent 267 0 R +/Prev 295 0 R +/Next 311 0 R +/First 303 0 R +/Last 307 0 R +/Count -2 +>> endobj +295 0 obj << +/Title 296 0 R +/A 293 0 R +/Parent 267 0 R +/Prev 271 0 R +/Next 299 0 R +>> endobj +291 0 obj << +/Title 292 0 R +/A 289 0 R +/Parent 271 0 R +/Prev 287 0 R +>> endobj +287 0 obj << +/Title 288 0 R +/A 285 0 R +/Parent 271 0 R +/Prev 283 0 R +/Next 291 0 R +>> endobj +283 0 obj << +/Title 284 0 R +/A 281 0 R +/Parent 271 0 R +/Prev 279 0 R +/Next 287 0 R +>> endobj +279 0 obj << +/Title 280 0 R +/A 277 0 R +/Parent 271 0 R +/Prev 275 0 R +/Next 283 0 R +>> endobj +275 0 obj << +/Title 276 0 R +/A 273 0 R +/Parent 271 0 R +/Next 279 0 R +>> endobj +271 0 obj << +/Title 272 0 R +/A 269 0 R +/Parent 267 0 R +/Next 295 0 R +/First 275 0 R +/Last 291 0 R +/Count -5 +>> endobj +267 0 obj << +/Title 268 0 R +/A 265 0 R +/Parent 1775 0 R +/Prev 75 0 R +/Next 347 0 R +/First 271 0 R +/Last 343 0 R +/Count -8 +>> endobj +263 0 obj << +/Title 264 0 R +/A 261 0 R +/Parent 75 0 R +/Prev 259 0 R +>> endobj +259 0 obj << +/Title 260 0 R +/A 257 0 R +/Parent 75 0 R +/Prev 143 0 R +/Next 263 0 R +>> endobj +255 0 obj << +/Title 256 0 R +/A 253 0 R +/Parent 143 0 R +/Prev 251 0 R +>> endobj +251 0 obj << +/Title 252 0 R +/A 249 0 R +/Parent 143 0 R +/Prev 247 0 R +/Next 255 0 R +>> endobj +247 0 obj << +/Title 248 0 R +/A 245 0 R +/Parent 143 0 R +/Prev 243 0 R +/Next 251 0 R +>> endobj +243 0 obj << +/Title 244 0 R +/A 241 0 R +/Parent 143 0 R +/Prev 239 0 R +/Next 247 0 R +>> endobj +239 0 obj << +/Title 240 0 R +/A 237 0 R +/Parent 143 0 R +/Prev 235 0 R +/Next 243 0 R +>> endobj +235 0 obj << +/Title 236 0 R +/A 233 0 R +/Parent 143 0 R +/Prev 231 0 R +/Next 239 0 R +>> endobj +231 0 obj << +/Title 232 0 R +/A 229 0 R +/Parent 143 0 R +/Prev 227 0 R +/Next 235 0 R +>> endobj +227 0 obj << +/Title 228 0 R +/A 225 0 R +/Parent 143 0 R +/Prev 223 0 R +/Next 231 0 R +>> endobj +223 0 obj << +/Title 224 0 R +/A 221 0 R +/Parent 143 0 R +/Prev 219 0 R +/Next 227 0 R +>> endobj +219 0 obj << +/Title 220 0 R +/A 217 0 R +/Parent 143 0 R +/Prev 215 0 R +/Next 223 0 R +>> endobj +215 0 obj << +/Title 216 0 R +/A 213 0 R +/Parent 143 0 R +/Prev 211 0 R +/Next 219 0 R +>> endobj +211 0 obj << +/Title 212 0 R +/A 209 0 R +/Parent 143 0 R +/Prev 207 0 R +/Next 215 0 R +>> endobj +207 0 obj << +/Title 208 0 R +/A 205 0 R +/Parent 143 0 R +/Prev 203 0 R +/Next 211 0 R +>> endobj +203 0 obj << +/Title 204 0 R +/A 201 0 R +/Parent 143 0 R +/Prev 199 0 R +/Next 207 0 R +>> endobj +199 0 obj << +/Title 200 0 R +/A 197 0 R +/Parent 143 0 R +/Prev 195 0 R +/Next 203 0 R +>> endobj +195 0 obj << +/Title 196 0 R +/A 193 0 R +/Parent 143 0 R +/Prev 191 0 R +/Next 199 0 R +>> endobj +191 0 obj << +/Title 192 0 R +/A 189 0 R +/Parent 143 0 R +/Prev 187 0 R +/Next 195 0 R +>> endobj +187 0 obj << +/Title 188 0 R +/A 185 0 R +/Parent 143 0 R +/Prev 183 0 R +/Next 191 0 R +>> endobj +183 0 obj << +/Title 184 0 R +/A 181 0 R +/Parent 143 0 R +/Prev 179 0 R +/Next 187 0 R +>> endobj +179 0 obj << +/Title 180 0 R +/A 177 0 R +/Parent 143 0 R +/Prev 175 0 R +/Next 183 0 R +>> endobj +175 0 obj << +/Title 176 0 R +/A 173 0 R +/Parent 143 0 R +/Prev 171 0 R +/Next 179 0 R +>> endobj +171 0 obj << +/Title 172 0 R +/A 169 0 R +/Parent 143 0 R +/Prev 167 0 R +/Next 175 0 R +>> endobj +167 0 obj << +/Title 168 0 R +/A 165 0 R +/Parent 143 0 R +/Prev 163 0 R +/Next 171 0 R +>> endobj +163 0 obj << +/Title 164 0 R +/A 161 0 R +/Parent 143 0 R +/Prev 159 0 R +/Next 167 0 R +>> endobj +159 0 obj << +/Title 160 0 R +/A 157 0 R +/Parent 143 0 R +/Prev 155 0 R +/Next 163 0 R +>> endobj +155 0 obj << +/Title 156 0 R +/A 153 0 R +/Parent 143 0 R +/Prev 151 0 R +/Next 159 0 R +>> endobj +151 0 obj << +/Title 152 0 R +/A 149 0 R +/Parent 143 0 R +/Prev 147 0 R +/Next 155 0 R +>> endobj +147 0 obj << +/Title 148 0 R +/A 145 0 R +/Parent 143 0 R +/Next 151 0 R +>> endobj +143 0 obj << +/Title 144 0 R +/A 141 0 R +/Parent 75 0 R +/Prev 139 0 R +/Next 259 0 R +/First 147 0 R +/Last 255 0 R +/Count -28 +>> endobj +139 0 obj << +/Title 140 0 R +/A 137 0 R +/Parent 75 0 R +/Prev 135 0 R +/Next 143 0 R +>> endobj +135 0 obj << +/Title 136 0 R +/A 133 0 R +/Parent 75 0 R +/Prev 131 0 R +/Next 139 0 R +>> endobj +131 0 obj << +/Title 132 0 R +/A 129 0 R +/Parent 75 0 R +/Prev 127 0 R +/Next 135 0 R +>> endobj +127 0 obj << +/Title 128 0 R +/A 125 0 R +/Parent 75 0 R +/Prev 123 0 R +/Next 131 0 R +>> endobj +123 0 obj << +/Title 124 0 R +/A 121 0 R +/Parent 75 0 R +/Prev 115 0 R +/Next 127 0 R +>> endobj +119 0 obj << +/Title 120 0 R +/A 117 0 R +/Parent 115 0 R +>> endobj +115 0 obj << +/Title 116 0 R +/A 113 0 R +/Parent 75 0 R +/Prev 111 0 R +/Next 123 0 R +/First 119 0 R +/Last 119 0 R +/Count -1 +>> endobj +111 0 obj << +/Title 112 0 R +/A 109 0 R +/Parent 75 0 R +/Prev 107 0 R +/Next 115 0 R +>> endobj +107 0 obj << +/Title 108 0 R +/A 105 0 R +/Parent 75 0 R +/Prev 103 0 R +/Next 111 0 R +>> endobj +103 0 obj << +/Title 104 0 R +/A 101 0 R +/Parent 75 0 R +/Prev 99 0 R +/Next 107 0 R +>> endobj +99 0 obj << +/Title 100 0 R +/A 97 0 R +/Parent 75 0 R +/Prev 95 0 R +/Next 103 0 R +>> endobj +95 0 obj << +/Title 96 0 R +/A 93 0 R +/Parent 75 0 R +/Prev 83 0 R +/Next 99 0 R +>> endobj +91 0 obj << +/Title 92 0 R +/A 89 0 R +/Parent 83 0 R +/Prev 87 0 R +>> endobj +87 0 obj << +/Title 88 0 R +/A 85 0 R +/Parent 83 0 R +/Next 91 0 R +>> endobj +83 0 obj << +/Title 84 0 R +/A 81 0 R +/Parent 75 0 R +/Prev 79 0 R +/Next 95 0 R +/First 87 0 R +/Last 91 0 R +/Count -2 +>> endobj +79 0 obj << +/Title 80 0 R +/A 77 0 R +/Parent 75 0 R +/Next 83 0 R +>> endobj +75 0 obj << +/Title 76 0 R +/A 73 0 R +/Parent 1775 0 R +/Prev 51 0 R +/Next 267 0 R +/First 79 0 R +/Last 263 0 R +/Count -16 +>> endobj +71 0 obj << +/Title 72 0 R +/A 69 0 R +/Parent 51 0 R +/Prev 67 0 R +>> endobj +67 0 obj << +/Title 68 0 R +/A 65 0 R +/Parent 51 0 R +/Prev 63 0 R +/Next 71 0 R +>> endobj +63 0 obj << +/Title 64 0 R +/A 61 0 R +/Parent 51 0 R +/Prev 59 0 R +/Next 67 0 R +>> endobj +59 0 obj << +/Title 60 0 R +/A 57 0 R +/Parent 51 0 R +/Prev 55 0 R +/Next 63 0 R +>> endobj +55 0 obj << +/Title 56 0 R +/A 53 0 R +/Parent 51 0 R +/Next 59 0 R +>> endobj +51 0 obj << +/Title 52 0 R +/A 49 0 R +/Parent 1775 0 R +/Prev 15 0 R +/Next 75 0 R +/First 55 0 R +/Last 71 0 R +/Count -5 +>> endobj +47 0 obj << +/Title 48 0 R +/A 45 0 R +/Parent 15 0 R +/Prev 43 0 R +>> endobj +43 0 obj << +/Title 44 0 R +/A 41 0 R +/Parent 15 0 R +/Prev 39 0 R +/Next 47 0 R +>> endobj +39 0 obj << +/Title 40 0 R +/A 37 0 R +/Parent 15 0 R +/Prev 35 0 R +/Next 43 0 R +>> endobj +35 0 obj << +/Title 36 0 R +/A 33 0 R +/Parent 15 0 R +/Prev 31 0 R +/Next 39 0 R +>> endobj +31 0 obj << +/Title 32 0 R +/A 29 0 R +/Parent 15 0 R +/Prev 27 0 R +/Next 35 0 R +>> endobj +27 0 obj << +/Title 28 0 R +/A 25 0 R +/Parent 15 0 R +/Prev 23 0 R +/Next 31 0 R +>> endobj +23 0 obj << +/Title 24 0 R +/A 21 0 R +/Parent 15 0 R +/Prev 19 0 R +/Next 27 0 R +>> endobj +19 0 obj << +/Title 20 0 R +/A 17 0 R +/Parent 15 0 R +/Next 23 0 R +>> endobj +15 0 obj << +/Title 16 0 R +/A 13 0 R +/Parent 1775 0 R +/Prev 11 0 R +/Next 51 0 R +/First 19 0 R +/Last 47 0 R +/Count -8 +>> endobj +11 0 obj << +/Title 12 0 R +/A 9 0 R +/Parent 1775 0 R +/Prev 7 0 R +/Next 15 0 R +>> endobj +7 0 obj << +/Title 8 0 R +/A 5 0 R +/Parent 1775 0 R +/Next 11 0 R +>> endobj +1776 0 obj << +/Names [(Doc-Start) 389 0 R (Hfootnote.1) 1186 0 R (Hfootnote.2) 1216 0 R (Hfootnote.3) 1218 0 R (Hfootnote.4) 1242 0 R (Item.1) 481 0 R] +/Limits [(Doc-Start) (Item.1)] +>> endobj +1777 0 obj << +/Names [(Item.10) 798 0 R (Item.11) 800 0 R (Item.12) 801 0 R (Item.13) 808 0 R (Item.14) 809 0 R (Item.15) 811 0 R] +/Limits [(Item.10) (Item.15)] +>> 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 0 R (lstlisting.-50) 1017 0 R] +/Limits [(lstlisting.-46) (lstlisting.-50)] +>> endobj +1793 0 obj << +/Names [(lstlisting.-51) 1019 0 R (lstlisting.-52) 1028 0 R (lstlisting.-53) 1038 0 R (lstlisting.-54) 1040 0 R (lstlisting.-55) 1047 0 R (lstlisting.-56) 1064 0 R] +/Limits [(lstlisting.-51) (lstlisting.-56)] +>> endobj +1794 0 obj << +/Names [(lstlisting.-57) 1068 0 R (lstlisting.-58) 1070 0 R (lstlisting.-59) 1077 0 R (lstlisting.-6) 524 0 R (lstlisting.-60) 1114 0 R (lstlisting.-61) 1117 0 R] +/Limits [(lstlisting.-57) (lstlisting.-61)] +>> endobj +1795 0 obj << +/Names [(lstlisting.-62) 1120 0 R (lstlisting.-63) 1122 0 R (lstlisting.-64) 1139 0 R (lstlisting.-65) 1129 0 R (lstlisting.-66) 1170 0 R (lstlisting.-67) 1179 0 R] +/Limits [(lstlisting.-62) (lstlisting.-67)] +>> endobj +1796 0 obj << +/Names [(lstlisting.-68) 1181 0 R (lstlisting.-69) 1183 0 R (lstlisting.-7) 526 0 R (lstlisting.-70) 1193 0 R (lstlisting.-71) 1197 0 R (lstlisting.-72) 1224 0 R] +/Limits [(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 obj << +/Names [(lstlisting.-95) 1682 0 R (lstnumber.-10.1) 566 0 R (lstnumber.-10.10) 575 0 R (lstnumber.-10.11) 576 0 R (lstnumber.-10.12) 577 0 R (lstnumber.-10.13) 578 0 R] +/Limits [(lstlisting.-95) (lstnumber.-10.13)] +>> endobj +1802 0 obj << +/Names [(lstnumber.-10.14) 579 0 R (lstnumber.-10.15) 580 0 R (lstnumber.-10.16) 581 0 R (lstnumber.-10.17) 582 0 R (lstnumber.-10.18) 583 0 R (lstnumber.-10.19) 584 0 R] +/Limits [(lstnumber.-10.14) (lstnumber.-10.19)] +>> endobj +1803 0 obj << +/Names [(lstnumber.-10.2) 567 0 R (lstnumber.-10.20) 585 0 R (lstnumber.-10.21) 586 0 R (lstnumber.-10.22) 587 0 R (lstnumber.-10.23) 588 0 R (lstnumber.-10.24) 589 0 R] +/Limits [(lstnumber.-10.2) (lstnumber.-10.24)] +>> endobj +1804 0 obj << +/Names [(lstnumber.-10.25) 598 0 R (lstnumber.-10.26) 599 0 R (lstnumber.-10.27) 600 0 R (lstnumber.-10.3) 568 0 R (lstnumber.-10.4) 569 0 R (lstnumber.-10.5) 570 0 R] +/Limits [(lstnumber.-10.25) (lstnumber.-10.5)] +>> endobj +1805 0 obj << +/Names [(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 (lstnumber.-14.1) 662 0 R (lstnumber.-14.10) 677 0 R (lstnumber.-14.11) 678 0 R (lstnumber.-14.12) 679 0 R] +/Limits [(lstnumber.-13.2) (lstnumber.-14.12)] +>> endobj +1814 0 obj << +/Names [(lstnumber.-14.13) 680 0 R (lstnumber.-14.2) 663 0 R (lstnumber.-14.3) 664 0 R (lstnumber.-14.4) 671 0 R (lstnumber.-14.5) 672 0 R (lstnumber.-14.6) 673 0 R] +/Limits [(lstnumber.-14.13) (lstnumber.-14.6)] +>> endobj +1815 0 obj << +/Names [(lstnumber.-14.7) 674 0 R (lstnumber.-14.8) 675 0 R (lstnumber.-14.9) 676 0 R (lstnumber.-15.1) 682 0 R (lstnumber.-15.10) 691 0 R (lstnumber.-15.11) 692 0 R] +/Limits [(lstnumber.-14.7) (lstnumber.-15.11)] +>> endobj +1816 0 obj << +/Names [(lstnumber.-15.12) 693 0 R (lstnumber.-15.13) 694 0 R (lstnumber.-15.14) 700 0 R (lstnumber.-15.15) 701 0 R (lstnumber.-15.16) 702 0 R (lstnumber.-15.17) 703 0 R] +/Limits [(lstnumber.-15.12) (lstnumber.-15.17)] +>> endobj +1817 0 obj << +/Names [(lstnumber.-15.18) 704 0 R (lstnumber.-15.19) 705 0 R (lstnumber.-15.2) 683 0 R (lstnumber.-15.20) 706 0 R (lstnumber.-15.21) 707 0 R (lstnumber.-15.22) 708 0 R] +/Limits [(lstnumber.-15.18) (lstnumber.-15.22)] +>> endobj +1818 0 obj << +/Names [(lstnumber.-15.23) 709 0 R (lstnumber.-15.24) 710 0 R (lstnumber.-15.25) 711 0 R (lstnumber.-15.26) 712 0 R (lstnumber.-15.27) 713 0 R (lstnumber.-15.28) 714 0 R] +/Limits [(lstnumber.-15.23) (lstnumber.-15.28)] +>> endobj +1819 0 obj << +/Names [(lstnumber.-15.29) 715 0 R (lstnumber.-15.3) 684 0 R (lstnumber.-15.30) 716 0 R (lstnumber.-15.31) 717 0 R (lstnumber.-15.32) 718 0 R (lstnumber.-15.33) 719 0 R] +/Limits [(lstnumber.-15.29) (lstnumber.-15.33)] +>> endobj +1820 0 obj << +/Names [(lstnumber.-15.34) 720 0 R (lstnumber.-15.35) 721 0 R (lstnumber.-15.36) 722 0 R (lstnumber.-15.37) 723 0 R (lstnumber.-15.38) 724 0 R (lstnumber.-15.39) 725 0 R] +/Limits [(lstnumber.-15.34) (lstnumber.-15.39)] +>> endobj +1821 0 obj << +/Names [(lstnumber.-15.4) 685 0 R (lstnumber.-15.40) 726 0 R (lstnumber.-15.41) 727 0 R (lstnumber.-15.42) 728 0 R (lstnumber.-15.43) 729 0 R (lstnumber.-15.44) 746 0 R] +/Limits [(lstnumber.-15.4) (lstnumber.-15.44)] +>> endobj +1822 0 obj << +/Names [(lstnumber.-15.45) 747 0 R (lstnumber.-15.46) 748 0 R (lstnumber.-15.47) 749 0 R (lstnumber.-15.48) 750 0 R (lstnumber.-15.49) 751 0 R (lstnumber.-15.5) 686 0 R] +/Limits [(lstnumber.-15.45) (lstnumber.-15.5)] +>> endobj +1823 0 obj << +/Names [(lstnumber.-15.50) 752 0 R (lstnumber.-15.51) 753 0 R (lstnumber.-15.52) 754 0 R (lstnumber.-15.53) 755 0 R (lstnumber.-15.54) 756 0 R (lstnumber.-15.55) 757 0 R] +/Limits [(lstnumber.-15.50) (lstnumber.-15.55)] +>> endobj +1824 0 obj << +/Names [(lstnumber.-15.56) 758 0 R (lstnumber.-15.57) 759 0 R (lstnumber.-15.58) 760 0 R (lstnumber.-15.59) 761 0 R (lstnumber.-15.6) 687 0 R (lstnumber.-15.60) 762 0 R] +/Limits [(lstnumber.-15.56) (lstnumber.-15.60)] +>> endobj +1825 0 obj << +/Names [(lstnumber.-15.61) 763 0 R (lstnumber.-15.62) 764 0 R (lstnumber.-15.63) 765 0 R (lstnumber.-15.64) 766 0 R (lstnumber.-15.65) 767 0 R (lstnumber.-15.66) 768 0 R] +/Limits [(lstnumber.-15.61) (lstnumber.-15.66)] +>> endobj +1826 0 obj << +/Names [(lstnumber.-15.67) 769 0 R (lstnumber.-15.7) 688 0 R (lstnumber.-15.8) 689 0 R (lstnumber.-15.9) 690 0 R (lstnumber.-16.1) 740 0 R (lstnumber.-16.2) 741 0 R] +/Limits [(lstnumber.-15.67) (lstnumber.-16.2)] +>> endobj +1827 0 obj << +/Names [(lstnumber.-16.3) 742 0 R (lstnumber.-16.4) 743 0 R (lstnumber.-16.5) 744 0 R (lstnumber.-17.1) 778 0 R (lstnumber.-17.2) 779 0 R (lstnumber.-17.3) 780 0 R] +/Limits [(lstnumber.-16.3) (lstnumber.-17.3)] +>> endobj +1828 0 obj << +/Names [(lstnumber.-17.4) 781 0 R (lstnumber.-17.5) 782 0 R (lstnumber.-18.1) 788 0 R (lstnumber.-18.2) 789 0 R (lstnumber.-18.3) 790 0 R (lstnumber.-18.4) 791 0 R] +/Limits [(lstnumber.-17.4) (lstnumber.-18.4)] +>> endobj +1829 0 obj << +/Names [(lstnumber.-18.5) 792 0 R (lstnumber.-23.1) 820 0 R (lstnumber.-23.2) 821 0 R (lstnumber.-23.3) 822 0 R (lstnumber.-23.4) 823 0 R (lstnumber.-23.5) 824 0 R] +/Limits [(lstnumber.-18.5) (lstnumber.-23.5)] +>> endobj +1830 0 obj << +/Names [(lstnumber.-24.1) 831 0 R (lstnumber.-24.2) 832 0 R (lstnumber.-24.3) 833 0 R (lstnumber.-24.4) 834 0 R (lstnumber.-24.5) 835 0 R (lstnumber.-24.6) 836 0 R] +/Limits [(lstnumber.-24.1) (lstnumber.-24.6)] +>> endobj +1831 0 obj << +/Names [(lstnumber.-24.7) 837 0 R (lstnumber.-25.1) 844 0 R (lstnumber.-25.2) 845 0 R (lstnumber.-25.3) 846 0 R (lstnumber.-25.4) 847 0 R (lstnumber.-25.5) 848 0 R] +/Limits [(lstnumber.-24.7) (lstnumber.-25.5)] +>> endobj +1832 0 obj << +/Names [(lstnumber.-26.1) 850 0 R (lstnumber.-26.2) 851 0 R (lstnumber.-26.3) 852 0 R (lstnumber.-26.4) 853 0 R (lstnumber.-26.5) 854 0 R (lstnumber.-27.1) 856 0 R] +/Limits [(lstnumber.-26.1) (lstnumber.-27.1)] +>> endobj +1833 0 obj << +/Names [(lstnumber.-28.1) 858 0 R (lstnumber.-29.1) 860 0 R (lstnumber.-29.10) 869 0 R (lstnumber.-29.11) 870 0 R (lstnumber.-29.12) 871 0 R (lstnumber.-29.2) 861 0 R] +/Limits [(lstnumber.-28.1) (lstnumber.-29.2)] +>> endobj +1834 0 obj << +/Names [(lstnumber.-29.3) 862 0 R (lstnumber.-29.4) 863 0 R (lstnumber.-29.5) 864 0 R (lstnumber.-29.6) 865 0 R (lstnumber.-29.7) 866 0 R (lstnumber.-29.8) 867 0 R] +/Limits [(lstnumber.-29.3) (lstnumber.-29.8)] +>> endobj +1835 0 obj << +/Names [(lstnumber.-29.9) 868 0 R (lstnumber.-3.1) 496 0 R (lstnumber.-30.1) 883 0 R (lstnumber.-31.1) 885 0 R (lstnumber.-32.1) 887 0 R (lstnumber.-33.1) 897 0 R] +/Limits [(lstnumber.-29.9) (lstnumber.-33.1)] +>> endobj +1836 0 obj << +/Names [(lstnumber.-33.2) 898 0 R (lstnumber.-33.3) 899 0 R (lstnumber.-34.1) 901 0 R (lstnumber.-34.2) 902 0 R (lstnumber.-34.3) 903 0 R (lstnumber.-35.1) 906 0 R] +/Limits [(lstnumber.-33.2) (lstnumber.-35.1)] +>> endobj +1837 0 obj << +/Names [(lstnumber.-35.10) 915 0 R (lstnumber.-35.11) 916 0 R (lstnumber.-35.12) 917 0 R (lstnumber.-35.13) 918 0 R (lstnumber.-35.14) 925 0 R (lstnumber.-35.15) 926 0 R] +/Limits [(lstnumber.-35.10) (lstnumber.-35.15)] +>> endobj +1838 0 obj << +/Names [(lstnumber.-35.16) 927 0 R (lstnumber.-35.17) 928 0 R (lstnumber.-35.18) 929 0 R (lstnumber.-35.19) 930 0 R (lstnumber.-35.2) 907 0 R (lstnumber.-35.3) 908 0 R] +/Limits [(lstnumber.-35.16) (lstnumber.-35.3)] +>> endobj +1839 0 obj << +/Names [(lstnumber.-35.4) 909 0 R (lstnumber.-35.5) 910 0 R (lstnumber.-35.6) 911 0 R (lstnumber.-35.7) 912 0 R (lstnumber.-35.8) 913 0 R (lstnumber.-35.9) 914 0 R] +/Limits [(lstnumber.-35.4) (lstnumber.-35.9)] +>> endobj +1840 0 obj << +/Names [(lstnumber.-36.1) 932 0 R (lstnumber.-36.2) 933 0 R (lstnumber.-36.3) 934 0 R (lstnumber.-36.4) 935 0 R (lstnumber.-36.5) 936 0 R (lstnumber.-36.6) 937 0 R] +/Limits [(lstnumber.-36.1) (lstnumber.-36.6)] +>> endobj +1841 0 obj << +/Names [(lstnumber.-36.7) 938 0 R (lstnumber.-37.1) 940 0 R (lstnumber.-38.1) 947 0 R (lstnumber.-38.2) 948 0 R (lstnumber.-38.3) 949 0 R (lstnumber.-39.1) 951 0 R] +/Limits [(lstnumber.-36.7) (lstnumber.-39.1)] +>> endobj +1842 0 obj << +/Names [(lstnumber.-39.2) 952 0 R (lstnumber.-39.3) 953 0 R (lstnumber.-4.1) 499 0 R (lstnumber.-4.10) 508 0 R (lstnumber.-4.11) 509 0 R (lstnumber.-4.12) 510 0 R] +/Limits [(lstnumber.-39.2) (lstnumber.-4.12)] +>> endobj +1843 0 obj << +/Names [(lstnumber.-4.13) 511 0 R (lstnumber.-4.14) 512 0 R (lstnumber.-4.15) 513 0 R (lstnumber.-4.16) 514 0 R (lstnumber.-4.2) 500 0 R (lstnumber.-4.3) 501 0 R] +/Limits [(lstnumber.-4.13) (lstnumber.-4.3)] +>> endobj +1844 0 obj << +/Names [(lstnumber.-4.4) 502 0 R (lstnumber.-4.5) 503 0 R (lstnumber.-4.6) 504 0 R (lstnumber.-4.7) 505 0 R (lstnumber.-4.8) 506 0 R (lstnumber.-4.9) 507 0 R] +/Limits [(lstnumber.-4.4) (lstnumber.-4.9)] +>> endobj +1845 0 obj << +/Names [(lstnumber.-40.1) 955 0 R (lstnumber.-40.2) 956 0 R (lstnumber.-40.3) 957 0 R (lstnumber.-40.4) 958 0 R (lstnumber.-40.5) 959 0 R (lstnumber.-41.1) 961 0 R] +/Limits [(lstnumber.-40.1) (lstnumber.-41.1)] +>> endobj +1846 0 obj << +/Names [(lstnumber.-41.2) 962 0 R (lstnumber.-41.3) 963 0 R (lstnumber.-41.4) 964 0 R (lstnumber.-41.5) 965 0 R (lstnumber.-41.6) 966 0 R (lstnumber.-42.1) 968 0 R] +/Limits [(lstnumber.-41.2) (lstnumber.-42.1)] +>> endobj +1847 0 obj << +/Names [(lstnumber.-42.2) 969 0 R (lstnumber.-42.3) 970 0 R (lstnumber.-43.1) 972 0 R (lstnumber.-43.2) 973 0 R (lstnumber.-43.3) 974 0 R (lstnumber.-44.1) 980 0 R] +/Limits [(lstnumber.-42.2) (lstnumber.-44.1)] +>> endobj +1848 0 obj << +/Names [(lstnumber.-44.2) 981 0 R (lstnumber.-44.3) 982 0 R (lstnumber.-44.4) 983 0 R (lstnumber.-44.5) 984 0 R (lstnumber.-44.6) 985 0 R (lstnumber.-44.7) 986 0 R] +/Limits [(lstnumber.-44.2) (lstnumber.-44.7)] +>> endobj +1849 0 obj << +/Names [(lstnumber.-44.8) 987 0 R (lstnumber.-44.9) 988 0 R (lstnumber.-45.1) 991 0 R (lstnumber.-48.1) 1006 0 R (lstnumber.-49.1) 1012 0 R (lstnumber.-49.2) 1013 0 R] +/Limits [(lstnumber.-44.8) (lstnumber.-49.2)] +>> endobj +1850 0 obj << +/Names [(lstnumber.-49.3) 1014 0 R (lstnumber.-49.4) 1015 0 R (lstnumber.-49.5) 1016 0 R (lstnumber.-5.1) 516 0 R (lstnumber.-50.1) 1018 0 R (lstnumber.-51.1) 1020 0 R] +/Limits [(lstnumber.-49.3) (lstnumber.-51.1)] +>> endobj +1851 0 obj << +/Names [(lstnumber.-51.2) 1021 0 R (lstnumber.-51.3) 1022 0 R (lstnumber.-51.4) 1023 0 R (lstnumber.-51.5) 1024 0 R (lstnumber.-51.6) 1025 0 R (lstnumber.-51.7) 1026 0 R] +/Limits [(lstnumber.-51.2) (lstnumber.-51.7)] +>> endobj +1852 0 obj << +/Names [(lstnumber.-51.8) 1027 0 R (lstnumber.-52.1) 1029 0 R (lstnumber.-52.2) 1030 0 R (lstnumber.-52.3) 1031 0 R (lstnumber.-52.4) 1032 0 R (lstnumber.-52.5) 1033 0 R] +/Limits [(lstnumber.-51.8) (lstnumber.-52.5)] +>> endobj +1853 0 obj << +/Names [(lstnumber.-53.1) 1039 0 R (lstnumber.-54.1) 1041 0 R (lstnumber.-54.2) 1042 0 R (lstnumber.-54.3) 1043 0 R (lstnumber.-54.4) 1044 0 R (lstnumber.-54.5) 1045 0 R] +/Limits [(lstnumber.-53.1) (lstnumber.-54.5)] +>> endobj +1854 0 obj << +/Names [(lstnumber.-54.6) 1046 0 R (lstnumber.-55.1) 1048 0 R (lstnumber.-55.2) 1049 0 R (lstnumber.-55.3) 1050 0 R (lstnumber.-55.4) 1051 0 R (lstnumber.-55.5) 1052 0 R] +/Limits [(lstnumber.-54.6) (lstnumber.-55.5)] +>> endobj +1855 0 obj << +/Names [(lstnumber.-55.6) 1053 0 R (lstnumber.-55.7) 1054 0 R (lstnumber.-55.8) 1055 0 R (lstnumber.-55.9) 1056 0 R (lstnumber.-56.1) 1065 0 R (lstnumber.-56.2) 1066 0 R] +/Limits [(lstnumber.-55.6) (lstnumber.-56.2)] +>> endobj +1856 0 obj << +/Names [(lstnumber.-56.3) 1067 0 R (lstnumber.-57.1) 1069 0 R (lstnumber.-58.1) 1071 0 R (lstnumber.-59.1) 1078 0 R (lstnumber.-59.10) 1087 0 R (lstnumber.-59.11) 1088 0 R] +/Limits [(lstnumber.-56.3) (lstnumber.-59.11)] +>> endobj +1857 0 obj << +/Names [(lstnumber.-59.12) 1089 0 R (lstnumber.-59.13) 1090 0 R (lstnumber.-59.14) 1091 0 R (lstnumber.-59.15) 1092 0 R (lstnumber.-59.16) 1093 0 R (lstnumber.-59.17) 1094 0 R] +/Limits [(lstnumber.-59.12) (lstnumber.-59.17)] +>> endobj +1858 0 obj << +/Names [(lstnumber.-59.18) 1095 0 R (lstnumber.-59.19) 1096 0 R (lstnumber.-59.2) 1079 0 R (lstnumber.-59.20) 1097 0 R (lstnumber.-59.21) 1098 0 R (lstnumber.-59.22) 1099 0 R] +/Limits [(lstnumber.-59.18) (lstnumber.-59.22)] +>> endobj +1859 0 obj << +/Names [(lstnumber.-59.23) 1100 0 R (lstnumber.-59.24) 1101 0 R (lstnumber.-59.25) 1102 0 R (lstnumber.-59.26) 1103 0 R (lstnumber.-59.27) 1104 0 R (lstnumber.-59.28) 1105 0 R] +/Limits [(lstnumber.-59.23) (lstnumber.-59.28)] +>> endobj +1860 0 obj << +/Names [(lstnumber.-59.29) 1106 0 R (lstnumber.-59.3) 1080 0 R (lstnumber.-59.30) 1107 0 R (lstnumber.-59.31) 1108 0 R (lstnumber.-59.4) 1081 0 R (lstnumber.-59.5) 1082 0 R] +/Limits [(lstnumber.-59.29) (lstnumber.-59.5)] +>> endobj +1861 0 obj << +/Names [(lstnumber.-59.6) 1083 0 R (lstnumber.-59.7) 1084 0 R (lstnumber.-59.8) 1085 0 R (lstnumber.-59.9) 1086 0 R (lstnumber.-6.1) 525 0 R (lstnumber.-60.1) 1115 0 R] +/Limits [(lstnumber.-59.6) (lstnumber.-60.1)] +>> endobj +1862 0 obj << +/Names [(lstnumber.-60.2) 1116 0 R (lstnumber.-61.1) 1118 0 R (lstnumber.-61.2) 1119 0 R (lstnumber.-62.1) 1121 0 R (lstnumber.-63.1) 1123 0 R (lstnumber.-64.1) 1140 0 R] +/Limits [(lstnumber.-60.2) (lstnumber.-64.1)] +>> endobj +1863 0 obj << +/Names [(lstnumber.-64.10) 1149 0 R (lstnumber.-64.11) 1150 0 R (lstnumber.-64.12) 1151 0 R (lstnumber.-64.13) 1152 0 R (lstnumber.-64.14) 1153 0 R (lstnumber.-64.15) 1154 0 R] +/Limits [(lstnumber.-64.10) (lstnumber.-64.15)] +>> endobj +1864 0 obj << +/Names [(lstnumber.-64.16) 1155 0 R (lstnumber.-64.17) 1156 0 R (lstnumber.-64.18) 1157 0 R (lstnumber.-64.19) 1158 0 R (lstnumber.-64.2) 1141 0 R (lstnumber.-64.20) 1159 0 R] +/Limits [(lstnumber.-64.16) (lstnumber.-64.20)] +>> endobj +1865 0 obj << +/Names [(lstnumber.-64.21) 1160 0 R (lstnumber.-64.22) 1161 0 R (lstnumber.-64.23) 1162 0 R (lstnumber.-64.24) 1163 0 R (lstnumber.-64.3) 1142 0 R (lstnumber.-64.4) 1143 0 R] +/Limits [(lstnumber.-64.21) (lstnumber.-64.4)] +>> endobj +1866 0 obj << +/Names [(lstnumber.-64.5) 1144 0 R (lstnumber.-64.6) 1145 0 R (lstnumber.-64.7) 1146 0 R (lstnumber.-64.8) 1147 0 R (lstnumber.-64.9) 1148 0 R (lstnumber.-65.1) 1130 0 R] +/Limits [(lstnumber.-64.5) (lstnumber.-65.1)] +>> endobj +1867 0 obj << +/Names [(lstnumber.-65.2) 1131 0 R (lstnumber.-65.3) 1132 0 R (lstnumber.-65.4) 1133 0 R (lstnumber.-65.5) 1134 0 R (lstnumber.-65.6) 1135 0 R (lstnumber.-65.7) 1136 0 R] +/Limits [(lstnumber.-65.2) (lstnumber.-65.7)] +>> endobj +1868 0 obj << +/Names [(lstnumber.-65.8) 1137 0 R (lstnumber.-66.1) 1171 0 R (lstnumber.-66.2) 1172 0 R (lstnumber.-66.3) 1173 0 R (lstnumber.-66.4) 1174 0 R (lstnumber.-66.5) 1175 0 R] +/Limits [(lstnumber.-65.8) (lstnumber.-66.5)] +>> endobj +1869 0 obj << +/Names [(lstnumber.-66.6) 1176 0 R (lstnumber.-66.7) 1177 0 R (lstnumber.-66.8) 1178 0 R (lstnumber.-67.1) 1180 0 R (lstnumber.-68.1) 1182 0 R (lstnumber.-69.1) 1184 0 R] +/Limits [(lstnumber.-66.6) (lstnumber.-69.1)] 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<< +/Names [(lstnumber.-75.3) 1250 0 R (lstnumber.-75.4) 1251 0 R (lstnumber.-75.5) 1252 0 R (lstnumber.-76.1) 1254 0 R (lstnumber.-76.2) 1255 0 R (lstnumber.-76.3) 1256 0 R] +/Limits [(lstnumber.-75.3) (lstnumber.-76.3)] +>> endobj +1875 0 obj << +/Names [(lstnumber.-76.4) 1257 0 R (lstnumber.-76.5) 1258 0 R (lstnumber.-77.1) 1260 0 R (lstnumber.-77.10) 1273 0 R (lstnumber.-77.11) 1274 0 R (lstnumber.-77.2) 1261 0 R] +/Limits [(lstnumber.-76.4) (lstnumber.-77.2)] +>> endobj +1876 0 obj << +/Names [(lstnumber.-77.3) 1262 0 R (lstnumber.-77.4) 1263 0 R (lstnumber.-77.5) 1264 0 R (lstnumber.-77.6) 1265 0 R (lstnumber.-77.7) 1266 0 R (lstnumber.-77.8) 1267 0 R] +/Limits [(lstnumber.-77.3) (lstnumber.-77.8)] +>> endobj +1877 0 obj << +/Names [(lstnumber.-77.9) 1272 0 R (lstnumber.-78.1) 1276 0 R (lstnumber.-78.2) 1277 0 R (lstnumber.-78.3) 1278 0 R (lstnumber.-79.1) 1284 0 R (lstnumber.-79.10) 1293 0 R] +/Limits [(lstnumber.-77.9) (lstnumber.-79.10)] +>> endobj +1878 0 obj << +/Names [(lstnumber.-79.11) 1294 0 R (lstnumber.-79.12) 1295 0 R (lstnumber.-79.13) 1296 0 R (lstnumber.-79.14) 1297 0 R (lstnumber.-79.15) 1298 0 R (lstnumber.-79.16) 1299 0 R] +/Limits [(lstnumber.-79.11) (lstnumber.-79.16)] +>> endobj +1879 0 obj << +/Names [(lstnumber.-79.17) 1300 0 R (lstnumber.-79.18) 1301 0 R (lstnumber.-79.19) 1302 0 R (lstnumber.-79.2) 1285 0 R (lstnumber.-79.20) 1303 0 R (lstnumber.-79.21) 1304 0 R] +/Limits [(lstnumber.-79.17) (lstnumber.-79.21)] +>> endobj +1880 0 obj << +/Names [(lstnumber.-79.22) 1305 0 R (lstnumber.-79.23) 1306 0 R (lstnumber.-79.24) 1307 0 R (lstnumber.-79.3) 1286 0 R (lstnumber.-79.4) 1287 0 R (lstnumber.-79.5) 1288 0 R] +/Limits [(lstnumber.-79.22) (lstnumber.-79.5)] +>> endobj +1881 0 obj << +/Names [(lstnumber.-79.6) 1289 0 R (lstnumber.-79.7) 1290 0 R (lstnumber.-79.8) 1291 0 R (lstnumber.-79.9) 1292 0 R (lstnumber.-8.1) 537 0 R (lstnumber.-8.2) 538 0 R] +/Limits [(lstnumber.-79.6) (lstnumber.-8.2)] +>> endobj +1882 0 obj << +/Names [(lstnumber.-8.3) 540 0 R (lstnumber.-8.4) 541 0 R (lstnumber.-80.1) 1315 0 R (lstnumber.-80.10) 1324 0 R (lstnumber.-80.11) 1325 0 R (lstnumber.-80.12) 1326 0 R] +/Limits [(lstnumber.-8.3) (lstnumber.-80.12)] +>> endobj +1883 0 obj << +/Names [(lstnumber.-80.13) 1327 0 R (lstnumber.-80.14) 1328 0 R (lstnumber.-80.15) 1329 0 R (lstnumber.-80.16) 1330 0 R (lstnumber.-80.17) 1331 0 R (lstnumber.-80.18) 1332 0 R] +/Limits [(lstnumber.-80.13) (lstnumber.-80.18)] +>> endobj +1884 0 obj << +/Names [(lstnumber.-80.19) 1333 0 R (lstnumber.-80.2) 1316 0 R (lstnumber.-80.20) 1334 0 R (lstnumber.-80.21) 1335 0 R (lstnumber.-80.22) 1336 0 R (lstnumber.-80.23) 1337 0 R] +/Limits [(lstnumber.-80.19) (lstnumber.-80.23)] +>> endobj +1885 0 obj << +/Names [(lstnumber.-80.24) 1338 0 R (lstnumber.-80.25) 1339 0 R (lstnumber.-80.3) 1317 0 R (lstnumber.-80.4) 1318 0 R (lstnumber.-80.5) 1319 0 R (lstnumber.-80.6) 1320 0 R] +/Limits [(lstnumber.-80.24) (lstnumber.-80.6)] +>> endobj +1886 0 obj << +/Names 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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) 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a/Master/texmf-dist/doc/latex/pgfplots/manual.reference.tex b/Master/texmf-dist/doc/latex/pgfplots/pgfplots.reference.tex index 5cb97da2080..e1afbddbef4 100644 --- a/Master/texmf-dist/doc/latex/pgfplots/manual.reference.tex +++ b/Master/texmf-dist/doc/latex/pgfplots/pgfplots.reference.tex @@ -70,6 +70,7 @@ This list is copied from~\cite[section~29]{tikz}: \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} @@ -96,7 +97,10 @@ All these options have been drawn with the additional options \draw[ gray, thin, - mark options={scale=2,fill=yellow!80!black,draw=black}] + mark options={% + scale=2,fill=yellow!80!black,draw=black + } +] \end{lstlisting} \subsubsection{Line styles} @@ -142,15 +146,19 @@ The first syntax chooses the next unused plot specification of the list \lstinli \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} + 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) @@ -161,10 +169,15 @@ Some more details: (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 As a consequence of the coordinate parsing routines, you can't use the mathematical expression parsing method of \PGF\ as coordinates. + \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. @@ -178,14 +191,30 @@ Some more details: \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 (12.14368,-9.30872) {}; +\axispath\node at (axis cs:12.14368,-9.30872) {}; \end{lstlisting} or \begin{lstlisting} -\axispath\draw (12.14368,-9.30872) -- (0,1); +\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. @@ -193,9 +222,26 @@ The \lstinline!\axispath! command is necessary to communicate drawing commands t 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) @@ -213,6 +259,7 @@ Adds a single legend entry to the legend list. Example: }; \addlegendentry{Case 2} \end{axis} +\end{tikzpicture} \end{lstlisting} The outcome of this listing is shown in figure~\ref{fig:addlegendentry}. \begin{figure} @@ -240,9 +287,8 @@ The outcome of this listing is shown in figure~\ref{fig:addlegendentry}. \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. +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. -You may also consider the command \lstinline!\legend!. It also accepts several formatting options. \subsection{\texttt{\textbackslash legend[OPTIONS]\{LIST\}}} \label{sec:legenddef}% @@ -256,11 +302,11 @@ You can use \end{axis} \end{tikzpicture} \end{lstlisting} -to assign a complete legend. The \lstinline!\legend! command takes the following arguments: +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!\\!. 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[...]!. +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: @@ -277,8 +323,25 @@ will draw it at the lower left corner of the axis while \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. +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} @@ -303,6 +366,8 @@ draws the legend INSIDE MIDDLE RIGHT, separated by 0.5cm from the axis. 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,% @@ -310,28 +375,10 @@ The default is 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 +\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}+=[font=\Huge] +\tikzstyle{every axis legend}+=[...] \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}} @@ -405,9 +452,6 @@ Allows to define default options for any axis. For example, \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} @@ -419,12 +463,12 @@ There are several required and even more optional arguments to modify axes. They \end{lstlisting} The overall appeareance can be changed with \begin{lstlisting} -\tikzstyle{every axis}=[line width=1pt] +\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 +\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!. @@ -435,8 +479,8 @@ These options denote the axis limits, i.e. the lower left and the upper right co \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. +\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} @@ -461,8 +505,15 @@ The default styles are 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}} +\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}; @@ -554,17 +605,19 @@ Please note that using the \LaTeX\ floating figures together with \lstinline!\ca \end{figure} -\subsubsection*{\texttt{xmode=normal$|$log}, \texttt{ymode=normal$|$log}} +\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{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: +\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}'. @@ -572,20 +625,127 @@ For logplots, \PGFPlots\ will apply $\log(\cdot)$ to each element in `\texttt{LI \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 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} + -The tick appearance can be (re-)configured with +\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{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{[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. -\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}: +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). @@ -608,34 +768,71 @@ The default argument is \end{lstlisting} You can change the appearance of tick labels with \begin{lstlisting} -\tikzstyle{every tick label}=[] +\tikzstyle{every tick label}+=[font=\tiny] \end{lstlisting} and/or \begin{lstlisting} -\tikzstyle{every x tick label}=[] +\tikzstyle{every x tick label}+=[above] \end{lstlisting} and \begin{lstlisting} -\tikzstyle{every y tick label}=[] +\tikzstyle{every y tick label}+=[font=\bfseries] \end{lstlisting} -\subsubsection*{\texttt{tickpos=left$|$right$|$both}} +\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{[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{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{[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}). -\subsubsection*{\texttt{enlargelimits}} -Enlarges the axis size somewhat. +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. -Default is \lstinline!true! if axis limits are determined automatically and \lstinline!false! if you provide them manually. +\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}} +\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. @@ -644,7 +841,57 @@ The exponential function is implemented in pgf using a truncated Euler McLaurin- 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}} +\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)!. @@ -655,7 +902,7 @@ The options \lstinline!width=DIMEN! and \lstinline!height=DIMEN! override the de \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 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} @@ -669,6 +916,15 @@ The options \lstinline!width=DIMEN! and \lstinline!height=DIMEN! override the de \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} @@ -681,11 +937,15 @@ The options \lstinline!width=DIMEN! and \lstinline!height=DIMEN! override the de \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. + 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. -\subsubsection*{\texttt{x=DIMEN}, \texttt{y=DIMEN}} +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} @@ -714,8 +974,13 @@ Use \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). +\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. @@ -763,6 +1028,7 @@ This example uses the \TeX-command \lstinline!\def! to define variables and comm \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. diff --git a/Master/texmf-dist/doc/latex/pgfplots/manual.tex b/Master/texmf-dist/doc/latex/pgfplots/pgfplots.tex index a78b88be948..2feb78a99bd 100644 --- a/Master/texmf-dist/doc/latex/pgfplots/manual.tex +++ b/Master/texmf-dist/doc/latex/pgfplots/pgfplots.tex @@ -32,6 +32,10 @@ \usepackage{amssymb} \usepackage{amsfonts} +\newcommand{\R}{\mathbb{R}} +\newcommand{\N}{\mathbb{N}} +\newcommand{\Z}{\mathbb{Z}} + \usepackage{listings} \usepackage{courier} \lstset{% @@ -62,6 +66,11 @@ \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\\ @@ -77,18 +86,33 @@ \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. - +It is build completely on \Tikz\ and \PGF\ and may be used as \Tikz\ library. -\input{manual.install.tex}% -\input{manual.intro.tex}% -\input{manual.reference.tex}% -\input{manual.examples.tex}% +\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{manual.bib} +\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<m<1 finden. - - Ich koennte auch ne beliebe Zahl x=DDDDD.DDDDDDD in SCI format konvertieren, - indem ich einfach kommas verschiebe und mitzaehle. Das geht alles ohne - tex-register! + passe bounding box und x/y-skalierung "sinnvoll" an. + mache ne option "width=" die die GESAMTbreite angibt. @@ -158,11 +433,9 @@ FEATURES + Nur mit der 'x=' bzw. 'y=' option sollte es NACH AUSSEN moeglich sein, direkt einfluss auf die koordinaten zu nehmen. -- entscheide automatisch, ob der abstand zwischen ticks an die skalierung ++ entscheide automatisch, ob der abstand zwischen ticks an die skalierung angepasst werden sollte. -- Einbinden als Tikz-Library - + [xy]min = auto -> berechne die werte numerisch Ideen: @@ -200,19 +473,3 @@ FEATURES \addplot[OPTIONS] plot coordinates {...}; -> das \addplot ersetzt gewissermaßen das \draw -------------------------------------------------------------- -Implementierungsideen -------------------------------------------------------------- -+ Eine einfache Datenstruktur mit - + push_back - + create - + copy - + pop_front() - + get(i) - waere sehr hilfreich. - Mir schwant sowas wie eine reihe von makros \array@index ... das kann man aber - nicht loeschen :-( - alternativ geht natuerlich - \array{{1}{2}{3}} - oder so. Das verbraet nur eine variable, hat aber hohe zugriffszeiten - |