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diff --git a/Master/texmf-dist/doc/latex/numericplots/BasicFunctionality.tex b/Master/texmf-dist/doc/latex/numericplots/BasicFunctionality.tex deleted file mode 100644 index 3a9298b5f55..00000000000 --- a/Master/texmf-dist/doc/latex/numericplots/BasicFunctionality.tex +++ /dev/null @@ -1,874 +0,0 @@ -% Copyright 2010 Thomas Koenig, Alexander Michel -% -% This file is part of NumericPlots. -% -% NumericPlots is free software: you can redistribute it and/or modify -% it under the terms of the GNU General Public License as published by -% the Free Software Foundation, either version 3 of the License, or -% any later version. -% -% NumericPlots is distributed in the hope that it will be useful, -% but WITHOUT ANY WARRANTY; without even the implied warranty of -% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -% GNU General Public License for more details. -% -% You should have received a copy of the GNU General Public License -% along with NumericPlots. If not, see <http://www.gnu.org/licenses/>. - -\part{Using the package} - -\section{Basic Functionality} - -The package NumericPlots\\ -\verb+\usepackage{NumericPlots}+ -\\ -is intended to be used to plot numeric data which -may, e.g., be exported from Matlab by export2latex.m. The data must be defined -in the form -\begin{verbatim} - \def\IdentI{ - 1.0 1.0e2 - 1.1 11e1 - 1.2 1.25e2 - 1.3 110 - 1.4 100 - 1.5 90 - 1.6 80 - } -\end{verbatim} -\def\IdentI{ - 1.0 1.0e2 - 1.1 11e1 - 1.2 1.25e2 - 1.3 110 - 1.4 100 - 1.5 90 - 1.6 80 - } -\def\IdentII{ - 1.0 125 - 1.05 100 - 1.1 75 - 1.15 85 - 1.2 90 - 1.3 115 - 1.4 130 - 1.5 125 - 1.6 120 - } -\def\LogData{ - 6 6 - 10 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60 60 - 70 70 - 80 80 - 90 90 - 100 100 - 200 200 - 300 300 - 400 400 - 500 500 - 600 600 - 700 700 - 800 800 - 900 900 - 1000 1000 - 1100 1100 - 1200 1200 - 1300 1300 - 1400 1400 - 1500 1500 -} -where the first column contains the x, the second column the y-data. - -\subsection{plots} - -% \begin{LTXExample} -% \begin{NumericDataPlot}{\textwidth}{5cm} -% \setxAxis{xMin=1, xMax=2, Dx=0.1} -% \setyAxis{yMin=50, yMax=150, Dy=25} -% -% \plotxAxis{x-axis label} -% \plotyAxis{y-axis label} -% -% \listplot[style=StdLineStyA]{\IdentI} -% \end{NumericDataPlot} -% \end{LTXExample} - -The easiest plot may be done by -\begin{verbatim} - \begin{NumericDataPlot}{\textwidth}{5cm} - \setxAxis{xMin=-1, xMax=2, Dx=0.5} - \setyAxis{yMin=-50, yMax=150, Dy=25} - - \plotxAxis{x-axis label} - \plotyAxis{y-axis label} - - \listplot[style=StdLineStyA]{\IdentI} - \end{NumericDataPlot} -\end{verbatim} -\begin{NumericDataPlot}{\textwidth}{5cm} - \setxAxis{xMin=-1, xMax=2, Dx=0.5, xO=0} - \setyAxis{yMin=-50, yMax=150, Dy=25, yO=0} - - \plotxAxis{x-axis label} - \plotyAxis{y-axis label} - - \listplot[style=StdLineStyA]{\IdentI} -\end{NumericDataPlot} - -if you want to add a legend, you simply call - -\begin{minipage}{0.5\linewidth} -\begin{verbatim} -\LegendDefinition{ - \LegLine{style=StdLineStyA} & IdentI -} -\end{verbatim} -\end{minipage}\begin{minipage}{0.5\linewidth} -\centering -\LegendDefinition{ - \LegLine{style=StdLineStyA} & IdentI -} -\end{minipage} - -To plot multiple data in one plot call \newline -\begin{minipage}[T]{0.5\linewidth} - \begin{verbatim} - \begin{NumericDataPlot} - {\textwidth}{5cm} - \setxAxis - {xMin=1, xMax=2, Dx=0.2} - \setyAxis - {yMin=50, yMax=150, Dy=25} - - \plotxAxis{x-axis label} - \plotyAxis{y-axis label} - - \listplot[style=StdLineStyA] - {\IdentI} - \listplot[style=StdLineStyB] - {\IdentII} - - \putSE{\LegendDefinition{ - \LegLine{style=StdLineStyA} & IdentI \\ - \LegLine{style=StdLineStyB} & IdentII - }} - \end{NumericDataPlot} - \end{verbatim} -\end{minipage} -\begin{minipage}[T]{0.5\linewidth} - \vspace{10pt} - \begin{NumericDataPlot}{\textwidth}{5cm} - \setxAxis{xMin=1, xMax=2, Dx=0.2} - \setyAxis{yMin=50, yMax=150, Dy=25} - - \plotxAxis{x-axis label} - \plotyAxis{y-axis label} - - \listplot[style=StdLineStyA]{\IdentI} - \listplot[style=StdLineStyB]{\IdentII} - - \putSE{\LegendDefinition{ - \LegLine{style=StdLineStyA} & IdentI \\ - \LegLine{style=StdLineStyB} & IdentII - }} - \end{NumericDataPlot} -\end{minipage} - - -\subsection{Label and TickLabels} - -The commands \texttt{plotxAxis} and \texttt{plotyAxis} take the options -\texttt{NoLabel}, \texttt{NoTicks}, \texttt{NoTickLabel} as well as -\texttt{LabelOption} and \texttt{TickLabelOption} which may be used to eliminate -or change the look of the labels. - -Standard values for \texttt{LabelOption} and \texttt{TickLabelOption} may be set\\ -by \verb|\newcommand{\StdLabelOption}{\color{blue}|\\ -and \verb|\newcommand{\StdTickLabelOption}{\small}|. - -The option \texttt{xLabelSep} for \verb|\plotxAxis| (and \texttt{yLabelSep} for -\verb|\plotyAxis|) may be used to set the seperation between the axis and the label. Standard value -is 10pt for the x-label and 20pt for the y-label. - -\begin{minipage}[T]{0.5\linewidth} - \begin{verbatim} - \begin{NumericDataPlot}{\textwidth}{5cm} - \setxAxis{xMin=1, xMax=1.6, Dx=0.2} - \setyAxis{yMin=75, yMax=130, Dy=25} - - \plotxAxis - [LabelOption=\LARGE,% - TickLabelOption=\color{red},% - xLabelSep=40pt] - {x-axis label} - \plotyAxis - [NoLabel, NoTicks, NoTickLabel] - {y-axis label} - - \listplot[style=StdLineStyA]{\IdentI} - \listplot[style=StdLineStyB]{\IdentII} - - \end{NumericDataPlot} - \end{verbatim} -\end{minipage} -\begin{minipage}[T]{0.5\linewidth} - \vspace{10pt} - \begin{NumericDataPlot}{\textwidth}{5cm} - \setxAxis{xMin=1, xMax=1.6, Dx=0.2} - \setyAxis{yMin=75, yMax=130, Dy=25} - - \plotxAxis[LabelOption=\LARGE, TickLabelOption=\color{red}, - xLabelSep=40pt]{x-axis label} - \plotyAxis[NoLabel, NoTicks, NoTickLabel]{y-axis label} - - \listplot[style=StdLineStyA]{\IdentI} - \listplot[style=StdLineStyB]{\IdentII} - - \end{NumericDataPlot} -\end{minipage} - - -\subsection{Place ``Objects'' in the plot.} - -There are basically two different options to place objects in the plot. To -understand the difference one has to keep in mind that the axis have two -different coordinate systems. One is the system defined by xMin, xMax, yMin and -yMax (refered to as ``DataCoordinateSystem''), the other ist the system defined -by xCoordMin, xCoordMax, yCoordMin and yCoordMax (refered to as -``PictureCoordinateSystem''), see section \ref{sec:MultiplePlots}. - -It is now possible to place stuff in the graph with the DataCoordinates with the -command NDPput, see the following example. - -\begin{minipage}[T]{0.5\linewidth} - \begin{verbatim} - \begin{NumericDataPlot} - {\textwidth}{5cm} - \setxAxis - {xMin=1, xMax=2, Dx=0.2} - \setyAxis - {yMin=50, yMax=150, Dy=25} - - \plotxAxis{x-axis label} - \plotyAxis[NoLabel]{} - - \listplot[style=StdLineStyA] - {\IdentI} - - % put some stuff somewhere - \NDPput[x=1.2, y=75, RefPoint=br]{text} - \NDPput[x=1.2, y=100]{$a^2$} - - % or put nodes... - \NDPput[x=1.6, y=100]{\pnode{A}} - \NDPput[x=1.8, y=150]{\pnode{B}} - % ...and draw a line between them - \ncline{A}{B} - - % or put the legend at a specific position - \NDPput[x=1.8, y=75]{\LegendDefinition{ - \LegLine{style=StdLineStyA} & IdentI - }} - \end{NumericDataPlot} - \end{verbatim} -\end{minipage} -\begin{minipage}[T]{0.5\linewidth} - \vspace{10pt} - \begin{NumericDataPlot} - {\textwidth}{5cm} - \setxAxis - {xMin=1, xMax=2, Dx=0.2} - \setyAxis - {yMin=50, yMax=150, Dy=25} - - \plotxAxis{x-axis label} - \plotyAxis[NoLabel]{} - - \listplot[style=StdLineStyA] - {\IdentI} - - % put some stuff somewhere - \NDPput[x=1.2, y=75, RefPoint=br]{text} - \NDPput[x=1.2, y=100]{$a^2$} - - % or put nodes... - \NDPput[x=1.6, y=100]{\pnode{A}} - \NDPput[x=1.8, y=150]{\pnode{B}} - % ...and draw a line between them - \ncline{A}{B} - - % or put the legend at a specific position - \NDPput[x=1.8, y=75]{\LegendDefinition{ - \LegLine{style=StdLineStyA} & IdentI - }} - \end{NumericDataPlot} -\end{minipage} - -For convenience the commands \verb|\putXX{object}| where -$XX\in\left(N,S,E,W,NW,NE,SW,SE\right)$ are defined to place something in the -North, South,\ldots, SouthEast corner of the plot. Also, the command -\verb|\putExpY{xx}| and \verb|\putExpX{xx}| may be used to place exponents at -the axes. - -\begin{minipage}[T]{0.5\linewidth} - \begin{verbatim} - \begin{NumericDataPlot} - ... - \putExpY{$\times 10^{-3}$} - \putExpX{$\times 10^{-6}$} - - \putN{N} - \putS{S} - \putW{W} - \putE{E} - \putNW{NW} - \putNE{NE} - \putSW{SW} - \putSE{SE} - \end{NumericDataPlot} - \end{verbatim} -\end{minipage} -\begin{minipage}[T]{0.5\linewidth} - \vspace{10pt} - \begin{NumericDataPlot} - {\textwidth}{5cm} - \setxAxis - {xMin=1, xMax=1.6, Dx=0.2} - \setyAxis - {yMin=50, yMax=150, Dy=25} - - \plotxAxis{x-axis label} - \plotyAxis[NoLabel]{} - - \listplot[style=StdLineStyA] - {\IdentI} - - \putExpY{$\times 10^{-3}$} - \putExpX{$\times 10^{-6}$} - - \putN{N} - \putS{S} - \putW{W} - \putE{E} - \putNW{NW} - \putNE{NE} - \putSW{SW} - \putSE{SE} - \end{NumericDataPlot} -\end{minipage} - - -Alternatively, stuff can be placed -within the plot with \verb|\rput|. - -\begin{minipage}[T]{0.5\linewidth} - \begin{verbatim} - \begin{NumericDataPlot} - ... - - % put text in the middle of the plot - \rput{45}(500,500){text} - % put a formula in the lower left corner - \rput[bl](0,0){$a^2+b^2=c^2$} - - % or put nodes... - \NDPput[x=1.2, y=125]{\pnode{A}} - \rput(750,900){\Rnode{B}{peak}} - % ...and draw a line between them - \ncline{<-}{A}{B} - - % or put the legend at a specific position - \rput{-45}(750,250){\LegendDefinition{ - \LegLine{style=StdLineStyA} & IdentI - }} - \end{NumericDataPlot} - \end{verbatim} -\end{minipage} -\begin{minipage}[T]{0.5\linewidth} - \vspace{10pt} - \begin{NumericDataPlot} - {\textwidth}{5cm} - \setxAxis - {xMin=1, xMax=1.6, Dx=0.2} - \setyAxis - {yMin=50, yMax=150, Dy=25} - - \plotxAxis{x-axis label} - \plotyAxis[NoLabel]{} - - \listplot[style=StdLineStyA] - {\IdentI} - - % put text in the middle of the plot - \rput{45}(500,500){text} - % put a formula in the lower left corner - \rput[bl](0,0){$a^2+b^2=c^2$} - - % or put nodes... - \NDPput[x=1.2, y=125]{\pnode{A}} - \rput(750,900){\Rnode{B}{peak}} - % ...and draw a line between them - \ncline{<-}{A}{B} - - % or put the legend at a specific position - \rput{-45}(750,250){\LegendDefinition{ - \LegLine{style=StdLineStyA} & IdentI - }} - \end{NumericDataPlot} -\end{minipage} - - - -% ================================= -% | | -% | Linestyles and colors | -% | | -% ================================= - -\subsection{Linestyles and colors} - -While using the package, there are predefined linestyles which may be used: - -\begin{minipage}{0.6\linewidth} - \centering - \small - - \input{DataTestRealData} - - \begin{NumericDataPlot}[]{\linewidth}{0.7\linewidth} - \setxAxis{xMin=2, xMax=17, xO=5, Dx=4} - \setyAxis{yMin=20, yMax=70, yO=20, Dy=20} - - \plotxAxis[NoLabel, AxisStyle=Boxed]{} - \plotyAxis[NoLabel, AxisStyle=Boxed]{} - - \listplot[style=StdLineStyA]{\DataA} - \listplot[style=StdLineStyB]{\DataB} - \listplot[style=StdLineStyC]{\DataC} - \listplot[style=StdLineStyD]{\DataD} - \listplot[style=StdLineStyE]{\DataE} - \listplot[style=StdLineStyF]{\DataF} - \listplot[style=StdLineStyG]{\DataG} - \end{NumericDataPlot} -\end{minipage} -\begin{minipage}{0.4\linewidth} - \centering - \LegendDefinition{ - \LegLine{style=StdLineStyA} & StdLineStyA \\ - \LegLine{style=StdLineStyB} & StdLineStyB \\ - \LegLine{style=StdLineStyC} & StdLineStyC \\ - \LegLine{style=StdLineStyD} & StdLineStyD \\ - \LegLine{style=StdLineStyE} & StdLineStyE \\ - \LegLine{style=StdLineStyF} & StdLineStyF \\ - \LegLine{style=StdLineStyG} & StdLineStyG \\ - } -\end{minipage} - -When using the package option \texttt{BW} the standard line styles will be -replaced by their black and white counterparts: - -\begin{minipage}{0.6\linewidth} - \centering - \small - - \input{DataTestRealData} - - \begin{NumericDataPlot}[]{\linewidth}{0.7\linewidth} - \setxAxis{xMin=2, xMax=17, xO=5, Dx=4} - \setyAxis{yMin=20, yMax=70, yO=20, Dy=20} - - \plotxAxis[NoLabel, AxisStyle=Boxed]{} - \plotyAxis[NoLabel, AxisStyle=Boxed]{} - - \listplot[style=BWStdLineStyA]{\DataA} - \listplot[style=BWStdLineStyB]{\DataB} - \listplot[style=BWStdLineStyC]{\DataC} - \listplot[style=BWStdLineStyD]{\DataD} - \listplot[style=BWStdLineStyE]{\DataE} - \listplot[style=BWStdLineStyF]{\DataF} - \listplot[style=BWStdLineStyG]{\DataG} - \end{NumericDataPlot} -\end{minipage} -\begin{minipage}{0.4\linewidth} - \centering - \LegendDefinition{ - \LegLine{style=BWStdLineStyA} & BWStdLineStyA \\ - \LegLine{style=BWStdLineStyB} & BWStdLineStyB \\ - \LegLine{style=BWStdLineStyC} & BWStdLineStyC \\ - \LegLine{style=BWStdLineStyD} & BWStdLineStyD \\ - \LegLine{style=BWStdLineStyE} & BWStdLineStyE \\ - \LegLine{style=BWStdLineStyF} & BWStdLineStyF \\ - \LegLine{style=BWStdLineStyG} & BWStdLineStyG \\ - } -\end{minipage} - -For values which are nearly the same (reference and measurement, e.g.) the -following line styles may be used: - -\begin{minipage}{0.6\linewidth} - \centering - \small - - \input{DataTestRealData} - - \begin{NumericDataPlot}[]{\linewidth}{0.7\linewidth} - \setxAxis{xMin=2, xMax=17, xO=5, Dx=4} - \setyAxis{yMin=20, yMax=70, yO=20, Dy=20} - - \plotxAxis[NoLabel, AxisStyle=Boxed]{} - \plotyAxis[NoLabel, AxisStyle=Boxed]{} - - \listplot[style=StdLineStyX]{\DataC} - \listplot[style=StdLineStyY]{\DataC} - - \listplot[style=BWStdLineStyX]{\DataD} - \listplot[style=BWStdLineStyY]{\DataD} - \end{NumericDataPlot} -\end{minipage} -\begin{minipage}{0.4\linewidth} - \centering - \LegendDefinition{ - \LegLine{style=StdLineStyX} & StdLineStyX \\ - \LegLine{style=StdLineStyY} & StdLineStyY \\ - \LegLine{style=BWStdLineStyX} & BWStdLineStyX \\ - \LegLine{style=BWStdLineStyY} & BWStdLineStyY \\ - } -\end{minipage} - -It is, of course, possible to redefine the available linestyles or to define new -linestyles. - -\begin{minipage}[T]{0.5\linewidth} - \begin{verbatim} - \definecolor{MyColor}{cmyk}{0.6 0.21 1.0 0.2} - \newpsstyle{MyLine} - {linecolor=MyColor, linewidth=2pt, - linestyle=dashed, - dash=1pt 1pt 4pt 1pt 1pt 3pt, - dotstyle=*, showpoints=true, - dotsize=5pt} - \newpsstyle{MyLineA} - {linecolor=blue, linestyle=dotted, - dotstyle=asterisk, showpoints=true} - - \listplot[style=MyLine] - {\IdentI} - \listplot[style=MyLineA] - {\IdentII} - - \putSE{\LegendDefinition{ - \LegLine{style=MyLine} & IdentI - \LegLine{style=MyLineA} & IdentII - }} - \end{verbatim} -\end{minipage} -\begin{minipage}[T]{0.5\linewidth} - \begin{NumericDataPlot} - {\textwidth}{5cm} - - \definecolor{MyColor}{cmyk}{0.6 0.21 1.0 0.2} - \newpsstyle{MyLine}{linecolor=MyColor, linewidth=2pt, linestyle=dashed, - dash=1pt 1pt 4pt 1pt 1pt 3pt, dotstyle=*, showpoints=true, dotsize=5pt} - \newpsstyle{MyLineA}{linecolor=blue, linestyle=dotted, - dotstyle=asterisk, showpoints=true} - - \setxAxis - {xMin=1, xMax=1.6, Dx=0.2} - \setyAxis - {yMin=50, yMax=150, Dy=25} - - \plotxAxis[NoLabel]{} - \plotyAxis[NoLabel]{} - - \listplot[style=MyLine] - {\IdentI} - \listplot[style=MyLineA] - {\IdentII} - - \putSE{\LegendDefinition{ - \LegLine{style=MyLine} & IdentI - }} - \end{NumericDataPlot} -\end{minipage} - - -% ================================= -% | | -% | Legend | -% | | -% ================================= - -\subsection{Legend} - -The legend may be created with \verb|\LegendDefinition|. The command takes the -two optional arguments \texttt{nrCols} and \texttt{LabelOrientation=[l|c|r]}. -The mandatory argument is the definition of a table as demonstrated in the -follwing examples. - - \begin{verbatim} - \LegendDefinition{ - \LegLine{style=StdLineStyA} & IdentI\\ - \LegLine{style=StdLineStyB, linewidth=3pt} & second legend - } - \end{verbatim} - \LegendDefinition{ - \LegLine{style=StdLineStyA} & IdentI\\ - \LegLine{style=StdLineStyB, linewidth=3pt} & second legend - } - \begin{verbatim} - \newpsstyle{LegendBoxStyle}% - {framearc=0.2, fillstyle=solid, fillcolor=yellow, opacity=0.2} - \LegendDefinition[nrCols=2]{ - \LegLine{style=StdLineStyA} & IdentI & - \LegLine{style=StdLineStyB, linewidth=3pt} & legend 2 - \newpsstyle{LegendBoxStyle}% - {fillstyle=solid, fillcolor=white} - } - \end{verbatim} - \newpsstyle{LegendBoxStyle}% - {framearc=0.2, fillstyle=solid, fillcolor=yellow, opacity=0.2} - \LegendDefinition[nrCols=2]{ - \LegLine{style=StdLineStyA} & IdentI & - \LegLine{style=StdLineStyB, linewidth=3pt} & legend 2 - } - \newpsstyle{LegendBoxStyle}% - {fillstyle=solid, fillcolor=white} - \begin{verbatim} - \LegendDefinition[LabelOrientation=c]{ - \LegLine{style=StdLineStyA} & IdentI\\ - \LegLine{style=StdLineStyB, linewidth=3pt} & legend 2 \\ - \LegLine{style=StdLineStyC} & whatever this data is\ldots\\ - \LegLine{style=StdLineStyD} & and more data - } - \end{verbatim} - \LegendDefinition[LabelOrientation=c]{ - \LegLine{style=StdLineStyA} & IdentI\\ - \LegLine{style=StdLineStyB, linewidth=3pt} & second legend\\ - \LegLine{style=StdLineStyC} & whatever this data is\ldots\\ - \LegLine{style=StdLineStyD} & and more data - } - -\subsection{Add Lines to the Plot} - -Horizontal and vertical lines may be added to the plot with the commands -\verb|\NDPhline{coord}|, \verb|\NDPvline{coord}| and \verb|\NDPline{coord}|. It is also possible to put -nodes and draw lines between them, see placing stuff\ldots - -\begin{minipage}[T]{0.5\linewidth} - \begin{verbatim} - \begin{NumericDataPlot} - {\textwidth}{5cm} - \setxAxis - {xMin=1, xMax=1.6, Dx=0.2} - \setyAxis - {yMin=50, yMax=150, Dy=25} - - \plotxAxis[NoLabel]{} - \plotyAxis[NoLabel]{} - - \listplot[style=StdLineStyA] - {\IdentI} - - \NDPhline[linecolor=LineColorD]{73} - \NDPvline[linecolor=LineColorE, linestyle=dashed]{1.5} - \NDPline[linecolor=red]{1.1}{75}{1.3}{125} - \end{NumericDataPlot} - \end{verbatim} -\end{minipage} -\begin{minipage}[T]{0.5\linewidth} - \vspace{10pt} - \begin{NumericDataPlot} - {\textwidth}{5cm} - \setxAxis - {xMin=1, xMax=1.6, Dx=0.2} - \setyAxis - {yMin=50, yMax=150, Dy=25} - - \plotxAxis[NoLabel]{} - \plotyAxis[NoLabel]{} - - \listplot[style=StdLineStyA] - {\IdentI} - - \NDPhline[linecolor=LineColorD]{73} - \NDPvline[linecolor=LineColorE, linestyle=dashed]{1.5} - \NDPline[linecolor=red]{1.1}{75}{1.3}{125} - \end{NumericDataPlot} -\end{minipage} - -\subsection{Add Boxes to the Plot} - -Horizontal and vertical boxes may be added to the plot with the commands -\verb|\NDPhbox{coord}|, \verb|\NDPvbox{coord}| and \verb|\NDPbox{coord}|. It is also possible to put -nodes and draw lines between them, see placing stuff\ldots - -\begin{minipage}[T]{0.5\linewidth} - \begin{verbatim} - \begin{NumericDataPlot} - {\textwidth}{5cm} - \setxAxis - {xMin=1, xMax=1.6, Dx=0.2} - \setyAxis - {yMin=50, yMax=150, Dy=25} - - \plotxAxis[NoLabel]{} - \plotyAxis[NoLabel]{} - - \NDPhbox[fillstyle=solid,fillcolor=green]% - {75.0}{100.0}% - - \listplot[style=StdLineStyA] {\IdentI} - - \NDPvbox[fillstyle=solid,fillcolor=red] - {1.4}{1.5} - - \NDPbox[fillstyle=solid,% - fillcolor=orange, opacity=0.2, linestyle=none]% - {1.1}{60}{1.15}{130} - \end{NumericDataPlot} - \end{verbatim} -\end{minipage} -\begin{minipage}[T]{0.5\linewidth} - \vspace{10pt} - \begin{NumericDataPlot} - {\textwidth}{5cm} - \setxAxis - {xMin=1, xMax=1.6, Dx=0.2} - \setyAxis - {yMin=50, yMax=150, Dy=25} - - \plotxAxis[NoLabel]{} - \plotyAxis[NoLabel]{} - - \NDPhbox[fillstyle=solid,fillcolor = green]% - {75.0}{100.0}% - - \listplot[style=StdLineStyA] {\IdentI} - - \NDPvbox[fillstyle=solid,fillcolor=red] - {1.4}{1.5} - - \NDPbox[fillstyle=solid,% - fillcolor=orange, opacity=0.2, linestyle=none]% - {1.1}{60}{1.15}{130} - \end{NumericDataPlot} -\end{minipage} - - -\subsection{Grid} - -One may choose not to plot the grid with the option \texttt{NoGrid} for the -commands \verb|\plotxAxis| and \verb|\plotyAxis|. - -If the grid is plottet with the axis it may happen that the grid is plottet over -the axis. To avoid this, plot the grid first and then plot the axis as shown. - -\begin{minipage}[T]{0.5\linewidth} - \begin{verbatim} - \begin{NumericDataPlot} - {\textwidth}{5cm} - \setxAxis - {xMin=1, xMax=1.6, Dx=0.2} - \setyAxis - {yMin=50, yMax=150, Dy=25} - - \plotxGrid - \plotyGrid - \plotxAxis - [NoLabel, NoGrid, AxisStyle=Boxed]{} - \plotyAxis - [NoLabel, NoGrid, AxisStyle=Boxed]{} - - \listplot[style=StdLineStyA] - {\IdentI} - - \end{NumericDataPlot} - \end{verbatim} -\end{minipage} -\begin{minipage}[T]{0.5\linewidth} - \vspace{10pt} - \begin{NumericDataPlot} - {\textwidth}{5cm} - \setxAxis - {xMin=1, xMax=1.6, Dx=0.2} - \setyAxis - {yMin=50, yMax=150, Dy=25} - - \plotxGrid - \plotyGrid - \plotxAxis[NoLabel, NoGrid, AxisStyle=Boxed]{} - \plotyAxis[NoLabel, NoGrid, AxisStyle=Boxed]{} - - \listplot[style=StdLineStyA] - {\IdentI} - - \end{NumericDataPlot} -\end{minipage} - - -\subsection{Logarithmic axes} - - -\begin{minipage}[T]{0.5\linewidth} - \begin{verbatim} - \begin{NumericDataPlot}{\textwidth}{5cm} - \setxAxis - {xMin=6, xMax=2500, Dx=10, xLog} - \setyAxis - {yMin=0, yMax=2500, Dy=500} - \plotxAxis{} - \plotyAxis{} - - \listplot{\LogData} - \end{NumericDataPlot} - \end{verbatim} -\end{minipage} -\begin{minipage}[T]{0.5\linewidth} - \vspace{10pt} - \begin{NumericDataPlot}{\textwidth}{5cm} - \setxAxis{xMin=6, xMax=2500, Dx=10, xLog} - \setyAxis{yMin=0, yMax=2500, Dy=500} - \plotxAxis{} - \plotyAxis{} - - \listplot{\LogData} - \end{NumericDataPlot} -\end{minipage} - - -\begin{minipage}[T]{0.5\linewidth} - \begin{verbatim} - \begin{NumericDataPlot}{\textwidth}{5cm} - \setxAxis - {xMin=1, xMax=1500, Dx=10, xLog} - \setyAxis - {yMin=1, yMax=1500, Dy=10, yLog} - \plotxAxis{} - \plotyAxis{} - - \listplot{\LogData} - \end{NumericDataPlot} - \end{verbatim} -\end{minipage} -\begin{minipage}[T]{0.5\linewidth} - \vspace{10pt} - \begin{NumericDataPlot}{\textwidth}{5cm} - \setxAxis{xMin=1, xMax=1500, Dx=10, xLog} - \setyAxis{yMin=1, yMax=1500, Dy=10, yLog} - \plotxAxis{} - \plotyAxis{} - - \listplot{\LogData} - \end{NumericDataPlot} -\end{minipage} - - - - - diff --git a/Master/texmf-dist/doc/latex/numericplots/FurtherExamples.tex b/Master/texmf-dist/doc/latex/numericplots/FurtherExamples.tex deleted file mode 100644 index f770c7ebc45..00000000000 --- a/Master/texmf-dist/doc/latex/numericplots/FurtherExamples.tex +++ /dev/null @@ -1,177 +0,0 @@ -\section{Further Examples} - -\def\MoreData{ -0 5 -1 7 -2 10 -3 11 -4 11.5 -5 10 -6 5 -7 4 -8 9 -9 12 -10 11 -11 5 -} - -\def\MoreDataI{ -0 -5 -1 -7 -2 -10 -3 -11 -4 -11.5 -5 -10 -6 10 -7 15 -8 10 -9 -12 -10 -11 -11 -5 -} - -\begin{minipage}{0.5\linewidth} -\begin{verbatim} - \listplot - [style=StdLineStyA] - {\MoreData} - \listplot - [style=StdLineStyB, yEnd=10] - {\MoreData} - \listplot - [style=StdLineStyC, xStart=5, xEnd=9] - {\MoreData} - \listplot - [style=StdLineStyD, showpoints=true, nStep=2] - {\MoreData} -\end{verbatim} -\end{minipage}\begin{minipage}{0.5\linewidth} -\centering -\begin{NumericDataPlot}{\textwidth}{5cm} - \setxAxis{xMin=0, xMax=15, Dx=5, xO=0} - \setyAxis{yMin=0, yMax=15, Dy=5, yO=0} - - \plotxAxis[NoLabel]{x-axis label} - \plotyAxis[NoLabel]{y-axis label} - - \listplot[style=StdLineStyA]{\MoreData} - \listplot[style=StdLineStyB, yEnd=10]{\MoreData} - \listplot[style=StdLineStyC, xStart=5, xEnd=9]{\MoreData} - \listplot[style=StdLineStyD, showpoints=true, nStep=2]{\MoreData} -\end{NumericDataPlot} -\end{minipage} - - -\begin{NumericDataPlot}{\textwidth}{5cm} - \setxAxis{xMin=0, xMax=15, Dx=5, xO=0} - \setyAxis{yMin=0, yMax=15, Dy=5, yO=10} - - \plotxAxis{x-axis label} - \plotyAxis{y-axis label} - - \listplot[style=StdLineStyA, yMaxValue=10]{\MoreData} -\end{NumericDataPlot} - - -\subsection{Fill area between plots} - -\begin{minipage}{0.5\linewidth} -\begin{verbatim} - \begin{NumericDataPlot}% - {\textwidth}{5cm} - \setxAxis - {xMin=0, xMax=15, Dx=5, xO=0} - \setyAxis - {yMin=-15, yMax=15, Dy=5, yO=10} - - \plotxAxis{x-axis label} - \plotyAxis[NoLabel]{} - - \pscustom% - [style=StdLineStyA, fillstyle=solid, % - fillcolor=blue!40]{% - \listplot{\MoreData}% - \listplot[ChangeOrder]{\MoreDataI}% - } - \end{NumericDataPlot} -\end{verbatim} -\end{minipage}\begin{minipage}{0.5\linewidth} -\centering - \begin{NumericDataPlot}{\textwidth}{5cm} - \setxAxis{xMin=0, xMax=15, Dx=5, xO=0} - \setyAxis{yMin=-15, yMax=15, Dy=5, yO=10} - - \plotxAxis{x-axis label} - \plotyAxis[NoLabel]{} - - \pscustom[style=StdLineStyA, fillstyle=solid, fillcolor=blue!40]{% - \listplot{\MoreData}% - \listplot[ChangeOrder]{\MoreDataI}% - } - \end{NumericDataPlot} -\end{minipage} - - - - - - -\begin{minipage}{0.5\linewidth} -\begin{verbatim} - ... - \pscustom% - [style=StdLineStyA, fillstyle=solid, % - fillcolor=green!40]{% - \NDPhline{0} - \listplot[ChangeOrder]{\MoreDataI}% - } - ... -\end{verbatim} -\end{minipage}\begin{minipage}{0.5\linewidth} -\centering - \begin{NumericDataPlot}{\textwidth}{5cm} - \setxAxis{xMin=0, xMax=15, Dx=5, xO=0} - \setyAxis{yMin=-15, yMax=15, Dy=5, yO=10} - - \plotxAxis{x-axis label} - \plotyAxis[NoLabel]{} - - \pscustom% - [style=StdLineStyA, fillstyle=solid, % - fillcolor=green!40]{% - \NDPhline{0} - \listplot[ChangeOrder]{\MoreDataI}% - } - \end{NumericDataPlot} -\end{minipage} - - -\begin{minipage}{0.5\linewidth} -\begin{verbatim} - ... - \pscustom% - [style=StdLineStyA, fillstyle=solid, % - fillcolor=red!40]{% - \NDPline{0}{5}{11}{10} - \listplot[ChangeOrder]{\MoreDataI}% - } - ... -\end{verbatim} -\end{minipage}\begin{minipage}{0.5\linewidth} -\centering - \begin{NumericDataPlot}{\textwidth}{5cm} - \setxAxis{xMin=0, xMax=15, Dx=5, xO=0} - \setyAxis{yMin=-15, yMax=15, Dy=5, yO=10} - - \plotxAxis{x-axis label} - \plotyAxis[NoLabel]{} - - \pscustom% - [fillstyle=solid, linestyle=none,% - fillcolor=red!40]{% - \NDPline{0}{5}{11}{10} - \listplot[ChangeOrder]{\MoreDataI}% - } - \listplot[style=StdLineStyB]{\MoreDataI} - \end{NumericDataPlot} -\end{minipage}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/MultiplePlots.tex b/Master/texmf-dist/doc/latex/numericplots/MultiplePlots.tex deleted file mode 100644 index c385635b9c9..00000000000 --- a/Master/texmf-dist/doc/latex/numericplots/MultiplePlots.tex +++ /dev/null @@ -1,232 +0,0 @@ -% Copyright 2010 Thomas Koenig, Alexander Michel -% -% This file is part of NumericPlots. -% -% NumericPlots is free software: you can redistribute it and/or modify -% it under the terms of the GNU General Public License as published by -% the Free Software Foundation, either version 3 of the License, or -% any later version. -% -% NumericPlots is distributed in the hope that it will be useful, -% but WITHOUT ANY WARRANTY; without even the implied warranty of -% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -% GNU General Public License for more details. -% -% You should have received a copy of the GNU General Public License -% along with NumericPlots. If not, see <http://www.gnu.org/licenses/>. - - -\section{Multiple plots in one picture}\label{sec:MultiplePlots} - -xPicMin, xPicMax, yPicMin and yPicMax are the inner coordinates of one picture. -The position of the axes are defined in this coordinate system via xCoordMin, -xCoordMax, yCoordMin and yCoordMax. - -Example: - -\begin{verbatim} -% input data and define linestyles -\input{DataTestRealData} -\newpsstyle{Database}{linecolor=LineColorA, linestyle=none, dotstyle=*, -showpoints=true, dotsize=5pt} -\newpsstyle{Result}{linecolor=LineColorB, linestyle=none, dotstyle=+, -showpoints=true, dotsize=10pt} - -\begin{center} - \begin{NumericDataPlot}[xPicMin=0, xPicMax=1050, - yPicMin=0, yPicMax=1450]{\textwidth}{0.75\textheight} - - % --- definition of the axis and the grid --- - % set the axis of the lower left corner - \setxAxis{xMin=2, xMax=17, Dx=4, xCoordMin=0, xCoordMax=500} - \setyAxis{yMin=20, yMax=70, Dy=20, yCoordMin=0, yCoordMax=500} - - % plot the axis of the lower left corner - \plotxAxis{Stichnummer} - \plotyAxis{$F_{roll}$ in $\mega\newton$} - - \listplot[style=Database]{\DataA} - \listplot[style=Result]{\DataB} - \listplot[style=StdLineStyC]{\DataC} - \listplot[style=StdLineStyD]{\DataD} - \listplot[style=StdLineStyE]{\DataE} - \listplot[style=StdLineStyF]{\DataF} - \listplot[style=StdLineStyG]{\DataG} - - % set the y-axis for the plot in the middle of the left side - % x-axis remains the same - \setyAxis{yMin=20, yMax=70, Dy=20, yCoordMin=550, yCoordMax=1050} - % plot the axis (x-axis without ticklabels and label - \plotxAxis[NoTickLabel, NoLabel]{} - \plotyAxis{$F_{roll}$ in $\mega\newton$} - - \rput[t]{0}(250,550){a) Ein plot} - - \listplot[style=Database]{\DataA} - \listplot[style=Result]{\DataB} - - % set axis for the plot at the right side - \setxAxis{xMin=2, xMax=17, Dx=4, xCoordMin=600, xCoordMax=1050} - \setyAxis{yMin=20, yMax=70, Dy=10, yCoordMin=0, yCoordMax=1050} - - % plot the axis at the right side (y-axis without label) - \plotxAxis{Stichnummer} - \plotyAxis[NoLabel, TickSep=10]{$F_{roll}$ in $\mega\newton$} - - \listplot[style=Database]{\DataA} - \listplot[style=Result]{\DataB} - \listplot[style=StdLineStyC]{\DataC} - \listplot[style=StdLineStyD]{\DataD} - \listplot[style=StdLineStyE]{\DataE} - \listplot[style=StdLineStyF]{\DataF} - \listplot[style=StdLineStyG]{\DataG} - - % set the axis for the plot at the top - \setxAxis{xMin=8, xMax=17, Dx=1, xCoordMin=0, xCoordMax=1050} - \setyAxis{yMin=35, yMax=65, Dy=10, yO=40, yCoordMin=1150, yCoordMax=1450} - - % plot the axis for the plot at the top - \plotxAxis[NoLabel]{Stichnummer} - \plotyAxis[NoLabel]{$F_{roll}$ in $\mega\newton$} - - % plot only part of the data - \listplot[style=Database, xStart=11, xEnd=17]{\DataA} - \listplot[style=Result, xStart=8, xEnd=13]{\DataB} - - \end{NumericDataPlot} - - % put legend outside of the plot - \LegendDefinition[nrCols=1, LabelOrientation=r]{ - \LegLine{Database} & Werte aus der Datenbank \\ - \LegLine{Result} & Modell} - -\end{center} -\end{verbatim} - -% input data and define linestyles -\input{DataTestRealData} -\newpsstyle{Database}{linecolor=LineColorA, linestyle=none, dotstyle=*, -showpoints=true, dotsize=5pt} -\newpsstyle{Result}{linecolor=LineColorB, linestyle=none, dotstyle=+, -showpoints=true, dotsize=10pt} - -\begin{center} - \begin{NumericDataPlot}[xPicMin=0, xPicMax=1050, - yPicMin=0, yPicMax=1450]{\textwidth}{0.75\textheight} - - % --- definition of the axis and the grid --- - % set the axis of the lower left corner - \setxAxis{xMin=2, xMax=17, Dx=4, xCoordMin=0, xCoordMax=500} - \setyAxis{yMin=20, yMax=70, Dy=20, yCoordMin=0, yCoordMax=500} - - % plot the axis of the lower left corner - \plotxAxis{Stichnummer} - \plotyAxis{$F_{roll}$ in $\mega\newton$} - - \listplot[style=Database]{\DataA} - \listplot[style=Result]{\DataB} - \listplot[style=StdLineStyC]{\DataC} - \listplot[style=StdLineStyD]{\DataD} - \listplot[style=StdLineStyE]{\DataE} - \listplot[style=StdLineStyF]{\DataF} - \listplot[style=StdLineStyG]{\DataG} - - % set the y-axis for the plot in the middle of the left side - % x-axis remains the same - \setyAxis{yMin=20, yMax=70, Dy=20, yCoordMin=550, yCoordMax=1050} - % plot the axis (x-axis without ticklabels and label - \plotxAxis[NoTickLabel, NoLabel]{} - \plotyAxis{$F_{roll}$ in $\mega\newton$} - - \rput[t]{0}(250,550){a) Ein plot} - - \listplot[style=Database]{\DataA} - \listplot[style=Result]{\DataB} - - % set axis for the plot at the right side - \setxAxis{xMin=2, xMax=17, Dx=4, xCoordMin=600, xCoordMax=1050} - \setyAxis{yMin=20, yMax=70, Dy=10, yCoordMin=0, yCoordMax=1050} - - % plot the axis at the right side (y-axis without label) - \plotxAxis{Stichnummer} - \plotyAxis[NoLabel, TickSep=10]{$F_{roll}$ in $\mega\newton$} - - \listplot[style=Database]{\DataA} - \listplot[style=Result]{\DataB} - \listplot[style=StdLineStyC]{\DataC} - \listplot[style=StdLineStyD]{\DataD} - \listplot[style=StdLineStyE]{\DataE} - \listplot[style=StdLineStyF]{\DataF} - \listplot[style=StdLineStyG]{\DataG} - - % set the axis for the plot at the top - \setxAxis{xMin=8, xMax=17, Dx=1, xCoordMin=0, xCoordMax=1050} - \setyAxis{yMin=35, yMax=65, Dy=10, yO=40, yCoordMin=1150, yCoordMax=1450} - - % plot the axis for the plot at the top - \plotxAxis[NoLabel]{Stichnummer} - \plotyAxis[NoLabel]{$F_{roll}$ in $\mega\newton$} - - % plot only part of the data - \listplot[style=Database, xStart=11, xEnd=17]{\DataA} - \listplot[style=Result, xStart=8, xEnd=13]{\DataB} - - \end{NumericDataPlot} - - % put legend outside of the plot - \LegendDefinition[nrCols=1, LabelOrientation=r]{ - \LegLine{style=Database} & Werte aus der Datenbank \\ - \LegLine{style=Result} & Modell} -\end{center} - -An example with different y-axes on the left and on the right side: -\begin{small} -\begin{verbatim} -\begin{center} - \begin{NumericDataPlot}{\textwidth}{0.25\textheight} - - % --- definition of the axis and the grid --- - \setxAxis{xMin=2, xMax=17, Dx=4} - \setyAxis{yMin=20, yMax=70, Dy=20} - - % plot the axis of the lower left corner - \plotxAxis{Stichnummer} - \plotyAxis{$F_{roll}$ in $\mega\newton$} - - \listplot[style=Database]{\DataA} - - % define a second y-axis - \setyAxis{yMin=40, yMax=90, Dy=20} - \plotyAxis[AxisStyle=Right, NoGrid]{$F_{roll}$} - - \listplot[style=Result]{\DataA} - - \end{NumericDataPlot} -\end{center} -\end{verbatim} -\end{small} - -\begin{center} - \begin{NumericDataPlot}{\textwidth}{0.25\textheight} - - % --- definition of the axis and the grid --- - \setxAxis{xMin=2, xMax=17, Dx=4} - \setyAxis{yMin=20, yMax=70, Dy=20} - - % plot the axis of the lower left corner - \plotxAxis{Stichnummer} - \plotyAxis{$F_{roll}$ in $\mega\newton$} - - \listplot[style=Database]{\DataA} - - % define a second y-axis - \setyAxis{yMin=40, yMax=90, Dy=20} - \plotyAxis[AxisStyle=Right, NoGrid]{$F_{roll}$} - - \listplot[style=Result]{\DataA} - - - - \end{NumericDataPlot} - -\end{center}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/NumericPlots.pdf b/Master/texmf-dist/doc/latex/numericplots/NumericPlots.pdf Binary files differindex 1559820da0b..9bbaa14d848 100644 --- a/Master/texmf-dist/doc/latex/numericplots/NumericPlots.pdf +++ b/Master/texmf-dist/doc/latex/numericplots/NumericPlots.pdf diff --git a/Master/texmf-dist/doc/latex/numericplots/README.doc b/Master/texmf-dist/doc/latex/numericplots/README index 9642772a09e..9642772a09e 100644 --- a/Master/texmf-dist/doc/latex/numericplots/README.doc +++ b/Master/texmf-dist/doc/latex/numericplots/README diff --git a/Master/texmf-dist/doc/latex/numericplots/README.TEXLIVE b/Master/texmf-dist/doc/latex/numericplots/README.TEXLIVE index 4397c9c38a5..65bb109fd44 100644 --- a/Master/texmf-dist/doc/latex/numericplots/README.TEXLIVE +++ b/Master/texmf-dist/doc/latex/numericplots/README.TEXLIVE @@ -10,6 +10,8 @@ If questions or concerns, email tex-live@tug.org. struct2pst.m dspace2struct.m export2latex.m + LatexFilterMinMax.m struct2latexcampaign.m dspace2latex.m export2pst.m + LatexFilterHull.m diff --git a/Master/texmf-dist/doc/latex/numericplots/TechnicalDetails.tex b/Master/texmf-dist/doc/latex/numericplots/TechnicalDetails.tex deleted file mode 100644 index 541755312dc..00000000000 --- a/Master/texmf-dist/doc/latex/numericplots/TechnicalDetails.tex +++ /dev/null @@ -1,140 +0,0 @@ -% Copyright 2010 Thomas Koenig, Alexander Michel -% -% This file is part of NumericPlots. -% -% NumericPlots is free software: you can redistribute it and/or modify -% it under the terms of the GNU General Public License as published by -% the Free Software Foundation, either version 3 of the License, or -% any later version. -% -% NumericPlots is distributed in the hope that it will be useful, -% but WITHOUT ANY WARRANTY; without even the implied warranty of -% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -% GNU General Public License for more details. -% -% You should have received a copy of the GNU General Public License -% along with NumericPlots. If not, see <http://www.gnu.org/licenses/>. - -\section{Details} - - - -\subsection{Coordinate Systems} - -This section should just give some hints how to use the different coordinate -systems. - -A new plot is created with the environment -\texttt{NumericDataPlot}. The options are illustrated in the following example. - -\begin{minipage}[T]{0.5\linewidth} - \begin{verbatim} - \begin{NumericDataPlot} - [xPicMin=300, xPicMax=700] - {\textwidth}{5cm} - \setxAxis - {xMin=1, xMax=1.6, Dx=0.2} - \setyAxis - {yMin=50, yMax=150, Dy=25} - - \plotxAxis[NoLabel]{} - \plotyAxis[NoLabel]{} - - \listplot[style=StdLineStyA] - {\IdentI} - - \NDPhline[linecolor=LineColorD]{73} - \NDPvline[linecolor=LineColorE, linestyle=dashed]{1.5} - \end{NumericDataPlot} - \end{verbatim} -\end{minipage} - -\vspace{1cm} - -\begin{center} -\frame{ - \begin{NumericDataPlot} - [xPicMin=300, xPicMax=700, yPicMin=200, yPicMax=700, - llx=-1cm, lly=-2cm, urx=15pt, ury=30pt] - {0.5\textwidth}{5cm} - - \psline(300,200)(700,200)(700,700)(300,700)(300,200) - \pnode(300,200){PicLL} - \pnode(700,200){PicLR} - \pnode(700,700){PicUR} - \pnode(300,700){PicUL} - \rput(200,100){\Rnode{CapLL}{(xPicMin, yPicMin)}} - \ncline{->}{CapLL}{PicLL} - \rput(800,100){\Rnode{CapLR}{(xPicMax, yPicMin)}} - \ncline{->}{CapLR}{PicLR} - \rput(800,800){\Rnode{CapUR}{(xPicMax, yPicMax)}} - \ncline{->}{CapUR}{PicUR} - \rput(200,800){\Rnode{CapUL}{(xPicMin, yPicMax)}} - \ncline{->}{CapUL}{PicUL} - - \pnode(400,400){PlotLL} - \pnode(600,400){PlotLR} - \pnode(600,600){PlotUR} - \pnode(400,600){PlotUL} - \rput(350,300){\Rnode{PCapLL}{(xCoordMin, yCoordMin)}} - \ncline{->}{PCapLL}{PlotLL} - \rput(800,450){\Rnode{PCapLR}{(xCoordMax, yCoordMin)}} - \ncline{->}{PCapLR}{PlotLR} - \rput(800,650){\Rnode{PCapUR}{(xCoordMax, yCoordMax)}} - \ncline{->}{PCapUR}{PlotUR} - \rput(500,870){\Rnode{PCapUL}{(xCoordMin, yCoordMax)}} - \ncline{->}{PCapUL}{PlotUL} - - \rput(210,350){\pnode{LLXA}} - \rput(300,350){\pnode{LLXB}} - \ncline{<->}{LLXA}{LLXB} - \naput{llx} - - \rput(350,200){\pnode{LLXA}} - \rput(350,0){\pnode{LLXB}} - \ncline{<->}{LLXA}{LLXB} - \naput{lly} - - \rput(755,350){\pnode{URXA}} - \rput(700,350){\pnode{URXB}} - \ncline{<->}{URXA}{URXB} - \naput{urx} - - \rput(350,805){\pnode{URXA}} - \rput(350,700){\pnode{URXB}} - \ncline{<->}{URXA}{URXB} - \naput{ury} - - - \setxAxis - {xCoordMin=400, xCoordMax=600, - xMin=1, xMax=1.6, Dx=0.2} - \setyAxis - {yCoordMin=400, yCoordMax=600, - yMin=50, yMax=150, Dy=25} - - \plotxAxis[NoLabel]{} - \plotyAxis[NoLabel]{} - - \listplot[style=StdLineStyA]{\IdentI} - \end{NumericDataPlot} - } -\end{center} - -% \define@cmdkeys[NumericDataPlot]{General}[NumDataPlotG]{ -% xPicMin, yPicMin, xPicMax, yPicMax -% } -% -% -% \define@key[NumericDataPlot]{General}{llx}[\StdLLX]{ -% \psset{llx=#1} -% \addtolength{\OffsetWidth}{\StdLLX} -% \addtolength{\OffsetWidth}{-#1} -% } -% \define@key[NumericDataPlot]{General}{urx}[\StdURX]{ -% \psset{urx=#1} -% \addtolength{\OffsetWidth}{-\StdURX} -% \addtolength{\OffsetWidth}{#1} -% } -% \define@key[NumericDataPlot]{General}{lly}[\StdLLY]{\psset{lly=#1}} -% \define@key[NumericDataPlot]{General}{ury}[\StdURY]{\psset{ury=#1}}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/src/BasicFunctionality.tex b/Master/texmf-dist/doc/latex/numericplots/src/BasicFunctionality.tex new file mode 100644 index 00000000000..7d7d9ef362e --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/BasicFunctionality.tex @@ -0,0 +1,612 @@ +% Copyright 2010 Thomas Koenig, Alexander Michel +% +% This file is part of NumericPlots. +% +% NumericPlots is free software: you can redistribute it and/or modify +% it under the terms of the GNU General Public License as published by +% the Free Software Foundation, either version 3 of the License, or +% any later version. +% +% NumericPlots is distributed in the hope that it will be useful, +% but WITHOUT ANY WARRANTY; without even the implied warranty of +% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +% GNU General Public License for more details. +% +% You should have received a copy of the GNU General Public License +% along with NumericPlots. If not, see <http://www.gnu.org/licenses/>. + +\part{Using the package} + +\section{Basic Functionality} + +The package NumericPlots\\ +\verb+\usepackage{NumericPlots}+ +\\ +is intended to be used to plot numeric data which +may, e.g., be exported from Matlab by export2latex.m. The data must be defined +in the form +\lstinputlisting[lastline=9]{examples/DefineData} +where the first column contains the x, the second column the y-data. + +\emph{Please note that the package relies on the \texttt{listplot}-command from +pstricks!} + +\subsection{plots} + + +The easiest plot may be done by + +\begin{minipage}[T]{0.45\linewidth} + \lstinputlisting{examples/basic_EasyPlot} +\end{minipage} +\hspace{0.05\linewidth} +\begin{minipage}[T]{0.45\linewidth} + \input{examples/basic_EasyPlot} +\end{minipage} + +if you want to add a legend, you simply call + +\begin{minipage}[T]{0.45\linewidth} + \lstinputlisting{examples/basic_Legend} +\end{minipage} +\hspace{0.05\linewidth} +\begin{minipage}[T]{0.45\linewidth} + \input{examples/basic_Legend} +\end{minipage} + +To plot multiple data in one plot call + +\begin{minipage}[T]{0.45\linewidth} + \lstinputlisting{examples/basic_MultipleData} +\end{minipage} +\hspace{0.05\linewidth} +\begin{minipage}[T]{0.45\linewidth} + \centering + \input{examples/basic_MultipleData} +\end{minipage} + + +\subsection{Label and TickLabels} + +The commands \texttt{plotxAxis} and \texttt{plotyAxis} take the options +\texttt{NoLabel}, \texttt{NoTicks}, \texttt{NoTickLabel} as well as +\texttt{LabelOption} and \texttt{TickLabelOption} which may be used to eliminate +or change the look of the labels. + +Standard values for \texttt{LabelOption} and \texttt{TickLabelOption} may be set\\ +by \verb|\newcommand{\StdLabelOption}{\color{blue}|\\ +and \verb|\newcommand{\StdTickLabelOption}{\small}|. + +The option \texttt{LabelSep} may be used for \verb|\plotxAxis| and +\verb|\plotyAxis| to set the seperation between the axis and the label. Standard +value is \verb|\baselineskip+1ex| for the x-label and \verb|7ex| for the +y-label. + +\begin{minipage}[T]{0.45\linewidth} + \lstinputlisting{examples/basic_Labels} +\end{minipage} +\hspace{0.05\linewidth} +\begin{minipage}[T]{0.45\linewidth} + \input{examples/basic_Labels} +\end{minipage} + +It is furthermore possible to change the position and the rotation of the labels +and tick labels, see the example in section \ref{sec:Details:Labels}. + +It is also possible to put single tick labels, see the example in section +\ref{sec:Details:Labels}. + +\subsection{Place ``Objects'' in the plot.}\label{sec:PlaceObjects} + +There are basically two different options to place objects in the plot. To +understand the difference one has to keep in mind that the axis have two +different coordinate systems. One is the system defined by xMin, xMax, yMin and +yMax (refered to as ``DataCoordinateSystem''), the other ist the system defined +by xCoordMin, xCoordMax, yCoordMin and yCoordMax (refered to as +``PictureCoordinateSystem''), see section \ref{sec:MultiplePlots}. + +It is now possible to place stuff in the graph with the DataCoordinates with the +command NDPput, see the following example. + +\begin{minipage}[T]{0.45\linewidth} + \lstinputlisting{examples/basic_PlaceObjects} +\end{minipage} +\hspace{0.05\linewidth} +\begin{minipage}[T]{0.45\linewidth} + \input{examples/basic_PlaceObjects} +\end{minipage} + + +For convenience the commands \verb|\putXX{object}| where +$XX\in\left(N,S,E,W,NW,NE,SW,SE\right)$ are defined to place something in the +North, South,\ldots, SouthEast corner of the plot. Also, the command +\verb|\putExpY{xx}| and \verb|\putExpX{xx}| may be used to place exponents at +the axes. + +\begin{minipage}[T]{0.45\linewidth} + \lstinputlisting[firstline=14,lastline=24]{examples/basic_PlaceObjectsII} +\end{minipage} +\hspace{0.05\linewidth} +\begin{minipage}[T]{0.45\linewidth} + \input{examples/basic_PlaceObjectsII} +\end{minipage} + +Alternatively, stuff can be placed +within the plot with \verb|\rput|. + + +\begin{minipage}[T]{0.5\linewidth} + \lstinputlisting[firstline=14,lastline=28]{examples/basic_UseRput} +\end{minipage} +\begin{minipage}[T]{0.5\linewidth} + \input{examples/basic_UseRput} +\end{minipage} + + +% ================================= +% | | +% | Linestyles and colors | +% | | +% ================================= + +\subsection{Linestyles and colors} + +While using the package, there are predefined linestyles which may be used: + +\begin{minipage}{0.6\linewidth} + \centering + \small + + \begin{NumericDataPlot}[lly=1cm,llx=1cm,urx=0.25cm,ury=0.25cm]{\linewidth}{0.85\linewidth} + \setxAxis{xMin=2, xMax=17, xO=5, Dx=4} + \setyAxis{yMin=20, yMax=70, yO=20, Dy=20} + + \plotxAxis[NoLabel, AxisStyle=Boxed]{} + \plotyAxis[NoLabel, AxisStyle=Boxed]{} + + \listplot[style=StdLineStyA]{\DataA} + \listplot[style=StdLineStyB]{\DataB} + \listplot[style=StdLineStyC]{\DataC} + \listplot[style=StdLineStyD]{\DataD} + \listplot[style=StdLineStyE]{\DataE} + \listplot[style=StdLineStyF]{\DataF} + \listplot[style=StdLineStyG]{\DataG} + \end{NumericDataPlot} +\end{minipage} +\begin{minipage}{0.4\linewidth} + \centering + \LegendDefinition{ + \LegLine{style=StdLineStyA} & StdLineStyA \\ + \LegLine{style=StdLineStyB} & StdLineStyB \\ + \LegLine{style=StdLineStyC} & StdLineStyC \\ + \LegLine{style=StdLineStyD} & StdLineStyD \\ + \LegLine{style=StdLineStyE} & StdLineStyE \\ + \LegLine{style=StdLineStyF} & StdLineStyF \\ + \LegLine{style=StdLineStyG} & StdLineStyG \\ + } +\end{minipage} + +When using the package option \texttt{BW} the standard line styles will be +replaced by their black and white counterparts: + +\begin{minipage}{0.6\linewidth} + \centering + \small + + \begin{NumericDataPlot}[lly=1cm,llx=1cm,urx=0.25cm,ury=0.25cm]{\linewidth}{0.85\linewidth} + \setxAxis{xMin=2, xMax=17, xO=5, Dx=4} + \setyAxis{yMin=20, yMax=70, yO=20, Dy=20} + + \plotxAxis[NoLabel, AxisStyle=Boxed]{} + \plotyAxis[NoLabel, AxisStyle=Boxed]{} + + \listplot[style=BWStdLineStyA]{\DataA} + \listplot[style=BWStdLineStyB]{\DataB} + \listplot[style=BWStdLineStyC]{\DataC} + \listplot[style=BWStdLineStyD]{\DataD} + \listplot[style=BWStdLineStyE]{\DataE} + \listplot[style=BWStdLineStyF]{\DataF} + \listplot[style=BWStdLineStyG]{\DataG} + \end{NumericDataPlot} +\end{minipage} +\begin{minipage}{0.4\linewidth} + \centering + \LegendDefinition{ + \LegLine{style=BWStdLineStyA} & BWStdLineStyA \\ + \LegLine{style=BWStdLineStyB} & BWStdLineStyB \\ + \LegLine{style=BWStdLineStyC} & BWStdLineStyC \\ + \LegLine{style=BWStdLineStyD} & BWStdLineStyD \\ + \LegLine{style=BWStdLineStyE} & BWStdLineStyE \\ + \LegLine{style=BWStdLineStyF} & BWStdLineStyF \\ + \LegLine{style=BWStdLineStyG} & BWStdLineStyG \\ + } +\end{minipage} + +For values which are nearly the same (reference and measurement, e.g.) the +following line styles may be used: + +\begin{minipage}{0.59\linewidth} + \centering + \small + + \begin{NumericDataPlot}[lly=1cm,llx=1cm,urx=0.25cm,ury=0.25cm]{\linewidth}{0.85\linewidth} + \setxAxis{xMin=2, xMax=17, xO=5, Dx=4} + \setyAxis{yMin=20, yMax=70, yO=20, Dy=20} + + \plotxAxis[NoLabel, AxisStyle=Boxed]{} + \plotyAxis[NoLabel, AxisStyle=Boxed]{} + + \listplot[style=StdLineStyX]{\DataC} + \listplot[style=StdLineStyY]{\DataC} + + \listplot[style=BWStdLineStyX]{\DataD} + \listplot[style=BWStdLineStyY]{\DataD} + \end{NumericDataPlot} +\end{minipage} +\begin{minipage}{0.38\linewidth} + \centering + \LegendDefinition{ + \LegLine{style=StdLineStyX} & StdLineStyX \\ + \LegLine{style=StdLineStyY} & StdLineStyY \\ + \LegLine{style=BWStdLineStyX} & BWStdLineStyX \\ + \LegLine{style=BWStdLineStyY} & BWStdLineStyY \\ + } +\end{minipage} + +It is, of course, possible to redefine the available linestyles or to define new +linestyles. + +\begin{minipage}[T]{0.48\linewidth} + \lstinputlisting[firstline=4,lastline=26]{examples/basic_UserLinestyles} +\end{minipage} +\begin{minipage}[T]{0.48\linewidth} + \input{examples/basic_UserLinestyles} +\end{minipage} + + + +% ================================= +% | | +% | Legend | +% | | +% ================================= + +\subsection{Legend} + +The legend may be created with \verb|\LegendDefinition|. The command takes the +two optional arguments \texttt{nrCols} and \texttt{LabelOrientation=[l|c|r]}. +The mandatory argument is the definition of a table as demonstrated in the +follwing examples. + +\begin{minipage}[T]{0.5\linewidth} + \lstinputlisting{examples/basic_LegendI} +\end{minipage} +\hspace{1ex} +\begin{minipage}[T]{0.4\linewidth} + \input{examples/basic_LegendI} +\end{minipage} + +\begin{minipage}[T]{0.5\linewidth} + \lstinputlisting{examples/basic_LegendII} +\end{minipage} +\hspace{1ex} +\begin{minipage}[T]{0.4\linewidth} + \input{examples/basic_LegendII} +\end{minipage} + +\begin{minipage}[T]{0.5\linewidth} + \lstinputlisting{examples/basic_LegendIII} +\end{minipage} +\hspace{1ex} +\begin{minipage}[T]{0.4\linewidth} + \input{examples/basic_LegendIII} +\end{minipage} + + +\subsection{Add Lines to the Plot} + +Horizontal and vertical lines may be added to the plot with the commands +\verb|\NDPhline{coord}|, \verb|\NDPvline{coord}| and \verb|\NDPline{coord}|. It is also possible to put +nodes and draw lines between them, see section \ref{sec:PlaceObjects}. + +\begin{minipage}[T]{0.5\linewidth} + \lstinputlisting[firstline=14,lastline=17]{examples/basic_Lines} +\end{minipage} +\hspace{1ex} +\begin{minipage}[T]{0.4\linewidth} + \input{examples/basic_Lines} +\end{minipage} + + +\subsection{Add Boxes to the Plot} + +Horizontal and vertical boxes may be added to the plot with the commands +\verb|\NDPhbox{coord}|, \verb|\NDPvbox{coord}| and \verb|\NDPbox{coord}|. It is also possible to put +nodes and draw lines between them, see section \ref{sec:PlaceObjects}. + +\begin{minipage}[T]{0.5\linewidth} + \lstinputlisting[firstline=11,lastline=21]{examples/basic_Boxes} +\end{minipage} +\hspace{1ex} +\begin{minipage}[T]{0.4\linewidth} + \input{examples/basic_Boxes} +\end{minipage} + + +\subsection{Grid} + +As shwon in the example below, it is possible to plot a fine grid but not have a +tick label at each of the grid lines. While the options \texttt{Dx} and +\texttt{Dy} define the distance between the grid lines, the options \texttt{DDx} +and \texttt{DDy} define the distance between the tick labels. If \texttt{DDx} or +\texttt{DDy} are not set, they take the values of \texttt{Dx} and \texttt{Dy}. + +One may choose not to plot the grid with +the option \texttt{NoGrid} for the commands \verb|\plotxAxis| and \verb|\plotyAxis|. + +If the grid is plottet with the axis it may happen that the grid is plottet over +the axis. To avoid this, plot the grid first and then plot the axis as shown. + +\begin{minipage}[T]{0.5\linewidth} + \lstinputlisting{examples/basic_Grid} +\end{minipage} +\hspace{1ex} +\begin{minipage}[T]{0.4\linewidth} + \input{examples/basic_Grid} +\end{minipage} + + + +\subsection{Logarithmic axes} + + +\begin{minipage}[T]{0.5\linewidth} + \lstinputlisting{examples/basic_LogarithmicI} +\end{minipage} +\hspace{1ex} +\begin{minipage}[T]{0.4\linewidth} + \input{examples/basic_LogarithmicI} +\end{minipage} + + +\begin{minipage}[T]{0.5\linewidth} + \lstinputlisting{examples/basic_LogarithmicII} +\end{minipage} +\hspace{1ex} +\begin{minipage}[T]{0.4\linewidth} + \input{examples/basic_LogarithmicII} +\end{minipage} + + +\subsection{plots with holes} + +If plotting data, one might not want to plot some part of this data, e.g. if +only the data in a certain y-range is interesting. If one chooses to eliminate the +invalid data either by using \verb+yStart+ or \verb+yEnd+ or by eliminating the +data before the export, pstricks will always connect the last valid point of an +interval with the first valid point of the next interval. In Matlab e.g., +invalid data (NaN) is just ignored. This behavior is also possible with NumericPlots and +export2latex. If export2latex is called with data which contains NaN and with +the option.NaNsplit=true, it will split the data in several intervals and append +a consecutive number to the identifier for each interval. The exported yMax, +yMin values etc. will still be valid for the whole data-vector. The exported +data might look like: + +\begin{verbatim} +\expandafter\def\csname DataIdentNrRanges\endcsname{3} +\expandafter\def\csname DataIdent1\endcsname{ +560.00 5.40 +... +574.72 6.25 +} + +\expandafter\def\csname DataIdent2\endcsname{ +588.73 4.78 +... +609.53 12.09 +} + + +\expandafter\def\csname DataIdent3\endcsname{ +620.56 27.81 +... +649.56 27.32 +} +\end{verbatim} + + +\expandafter\def\csname DataIdentNrRanges\endcsname{3} +\expandafter\def\csname DataIdent1\endcsname{ +560.00 5.40 +560.30 6.25 +560.59 4.74 +560.90 6.25 +561.60 5.18 +561.65 6.25 +561.70 4.73 +562.60 4.75 +562.63 6.06 +563.75 6.12 +563.75 5.00 +564.50 6.25 +564.76 4.71 +564.90 4.88 +565.51 6.25 +565.63 5.00 +566.13 5.69 +566.61 6.78 +567.10 4.88 +567.60 4.89 +567.66 6.25 +568.30 4.88 +568.31 6.25 +569.10 4.77 +569.51 6.25 +569.60 6.13 +570.35 4.85 +570.63 6.25 +570.71 5.00 +571.30 4.64 +571.31 6.25 +572.30 4.66 +572.62 6.06 +572.90 5.00 +572.93 5.61 +573.68 5.00 +574.11 6.25 +574.66 4.76 +574.72 6.25 +} + +\expandafter\def\csname DataIdent2\endcsname{ +588.73 4.78 +588.90 6.15 +589.50 4.76 +589.67 4.90 +589.74 6.25 +590.66 5.96 +590.73 4.55 +591.25 6.25 +591.69 4.68 +592.10 4.91 +592.31 6.25 +593.20 6.25 +593.55 5.36 +593.64 4.79 +593.74 6.25 +594.64 4.74 +594.75 6.11 +595.25 4.67 +595.31 6.12 +596.00 5.84 +596.30 11.90 +597.10 10.69 +597.20 12.00 +597.69 12.00 +598.15 10.00 +598.50 11.97 +598.67 10.00 +599.31 10.00 +599.69 11.91 +600.13 12.22 +600.79 10.79 +600.83 10.31 +600.86 11.72 +601.74 10.56 +601.80 11.25 +602.78 11.98 +602.94 10.00 +603.72 12.08 +603.94 10.00 +604.54 10.00 +604.70 11.96 +605.14 11.25 +605.24 10.83 +605.69 11.92 +605.80 10.00 +606.70 11.72 +607.03 10.00 +607.49 11.15 +607.54 10.00 +608.23 12.15 +608.72 10.00 +609.30 10.87 +609.53 12.09 +} + +\expandafter\def\csname DataIdent3\endcsname{ +620.56 27.81 +620.78 26.25 +620.85 27.80 +621.56 27.32 +621.74 27.78 +622.00 27.32 +622.74 26.36 +623.08 28.75 +623.31 27.79 +623.71 26.31 +624.05 27.32 +624.65 27.79 +625.18 27.83 +625.45 27.35 +625.95 27.74 +626.28 27.30 +626.75 26.34 +626.88 27.81 +627.54 28.75 +627.72 26.38 +628.23 27.29 +628.36 27.74 +628.88 26.25 +629.28 27.82 +629.78 28.84 +629.93 27.32 +631.13 26.27 +631.22 27.76 +631.94 28.75 +631.98 27.33 +632.54 26.25 +632.66 27.78 +632.89 27.29 +633.33 28.88 +633.76 26.45 +633.94 27.85 +634.76 26.33 +635.14 27.74 +635.68 27.82 +635.84 26.35 +636.08 27.84 +636.46 27.34 +637.04 27.74 +637.19 27.32 +637.70 27.34 +638.31 27.84 +638.50 27.78 +638.65 27.33 +639.45 27.79 +639.83 26.34 +640.03 27.38 +640.68 27.83 +641.45 27.31 +641.50 27.77 +642.08 27.80 +642.18 27.32 +642.76 27.93 +642.86 26.25 +643.75 27.32 +643.91 27.76 +644.38 27.30 +644.74 27.83 +645.06 27.37 +645.08 27.80 +645.80 28.80 +646.13 26.47 +646.76 26.57 +647.09 27.81 +647.26 27.83 +647.98 26.25 +648.20 27.33 +648.34 28.75 +648.93 28.91 +649.56 27.32 +} + +This data can then easily be plotted using the command\\ +\verb+\multilistplot{<options>}{<Identifier>}+\footnote{Please notice, that the +first argument of multilistplot is a mandatory argument. Also notice, that the +second argument ist only the name of the data including ``Data'' but not the +command as it would be for the listplot command}. +The command will call\\ +\verb+\listplot[<options>]{\<Identifier>}+ for each of +the intervals. The first argument is directly passed to the listplot command which is part of the +pstricks package. The second argument is the identifier of the data that should +be plotted. + +\begin{minipage}[T]{0.5\linewidth} + \lstinputlisting{examples/basic_PlotWHoles} +\end{minipage} +\hspace{1ex} +\begin{minipage}[T]{0.4\linewidth} + \input{examples/basic_PlotWHoles} +\end{minipage} + diff --git a/Master/texmf-dist/doc/latex/numericplots/src/FurtherExamples.tex b/Master/texmf-dist/doc/latex/numericplots/src/FurtherExamples.tex new file mode 100644 index 00000000000..b7ced008ace --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/FurtherExamples.tex @@ -0,0 +1,301 @@ +\section{Further Examples} + +\def\MoreData{ +0 5 +1 7 +2 10 +3 11 +4 11.5 +5 10 +6 5 +7 4 +8 9 +9 12 +10 11 +11 5 +} + +\def\MoreDataI{ +0 -5 +1 -7 +2 -10 +3 -11 +4 -11.5 +5 -10 +6 10 +7 15 +8 10 +9 -12 +10 -11 +11 -5 +} + +\def\NoiseData{ +0 5 +0.1 5.4 +0.2 4.6 +0.3 5.3 +0.4 4.9 +0.5 4.6 +} +Here, some features of the pst-plot command \verb|listplot| are illustrated. With xStart, xEnd (yStart, yEnd), the data can be truncated. Note that all visible data points are connected by a straight line which may render a misleading plot, cf. the blue and green line in the next plot below. + +\begin{minipage}{0.5\linewidth} +\begin{verbatim} + \listplot + [style=StdLineStyA] + {\MoreData} + \listplot + [style=StdLineStyB, yEnd=10] + {\MoreData} + \listplot + [style=StdLineStyC, xStart=5, xEnd=9] + {\MoreData} + \listplot + [style=StdLineStyD, showpoints=true, nStep=2] + {\MoreData} +\end{verbatim} +\end{minipage}\begin{minipage}{0.5\linewidth} +\centering +\begin{NumericDataPlot}{\textwidth}{5cm} + \setxAxis{xMin=0, xMax=15, Dx=5, xO=0} + \setyAxis{yMin=0, yMax=15, Dy=5, yO=0} + + \plotxAxis[NoLabel]{x-axis label} + \plotyAxis[NoLabel]{y-axis label} + + \listplot[style=StdLineStyA]{\MoreData} + \listplot[style=StdLineStyB, yEnd=10]{\MoreData} + \listplot[style=StdLineStyC, xStart=5, xEnd=9]{\MoreData} + \listplot[style=StdLineStyD, showpoints=true, nStep=2]{\MoreData} +\end{NumericDataPlot} +\end{minipage} + + + +\subsection{Fill area between plots} +\label{sec:FillArea} + +\begin{minipage}{0.5\linewidth} +\begin{verbatim} + \begin{NumericDataPlot}% + {\textwidth}{5cm} + \setxAxis + {xMin=0, xMax=15, Dx=5, xO=0} + \setyAxis + {yMin=-15, yMax=15, Dy=5, yO=10} + + \plotxAxis{x-axis label} + \plotyAxis[NoLabel]{} + + \pscustom% + [style=StdLineStyA, fillstyle=solid, % + fillcolor=blue!40]{% + \listplot{\MoreData}% + \listplot[ChangeOrder]{\MoreDataI}% + } + \end{NumericDataPlot} +\end{verbatim} +\end{minipage}\begin{minipage}{0.5\linewidth} +\centering + \begin{NumericDataPlot}{\textwidth}{5cm} + \setxAxis{xMin=0, xMax=15, Dx=5, xO=0} + \setyAxis{yMin=-15, yMax=15, Dy=5, yO=10} + + \plotxAxis{x-axis label} + \plotyAxis[NoLabel]{} + + \pscustom[style=StdLineStyA, fillstyle=solid, fillcolor=blue!40]{% + \listplot{\MoreData}% + \listplot[ChangeOrder]{\MoreDataI}% + } + \end{NumericDataPlot} +\end{minipage} + + + + + + +\begin{minipage}{0.5\linewidth} +\begin{verbatim} + ... + \pscustom% + [style=StdLineStyA, fillstyle=solid, % + fillcolor=green!40]{% + \NDPhline{0} + \listplot[ChangeOrder]{\MoreDataI}% + } + ... +\end{verbatim} +\end{minipage}\begin{minipage}{0.5\linewidth} +\centering + \begin{NumericDataPlot}{\textwidth}{5cm} + \setxAxis{xMin=0, xMax=15, Dx=5, xO=0} + \setyAxis{yMin=-15, yMax=15, Dy=5, yO=10} + + \plotxAxis{x-axis label} + \plotyAxis[NoLabel]{} + + \pscustom% + [style=StdLineStyA, fillstyle=solid, % + fillcolor=green!40]{% + \NDPhline{0} + \listplot[ChangeOrder]{\MoreDataI}% + } + \end{NumericDataPlot} +\end{minipage} + + +\begin{minipage}{0.5\linewidth} +\begin{verbatim} + ... + \pscustom% + [style=StdLineStyA, fillstyle=solid, % + fillcolor=red!40]{% + \NDPline{0}{5}{11}{10} + \listplot[ChangeOrder]{\MoreDataI}% + } + ... +\end{verbatim} +\end{minipage}\begin{minipage}{0.5\linewidth} +\centering + \begin{NumericDataPlot}{\textwidth}{5cm} + \setxAxis{xMin=0, xMax=15, Dx=5, xO=0} + \setyAxis{yMin=-15, yMax=15, Dy=5, yO=10} + + \plotxAxis{x-axis label} + \plotyAxis[NoLabel]{} + + \pscustom% + [fillstyle=solid, linestyle=none,% + fillcolor=red!40]{% + \NDPline{0}{5}{11}{10} + \listplot[ChangeOrder]{\MoreDataI}% + } + \listplot[style=StdLineStyB]{\MoreDataI} + \end{NumericDataPlot} +\end{minipage} + + +\subsection{Custom Grid} + +To plot a custom grid (grid-lines are not äquidistant) the following procedure +may be used if working with Matlab: + +Add the following code after export2latex (XTick is a vector containing the +positions of the desired x-gridlines): +\begin{verbatim} + % export positions of the x-Tick-Marks + fid = fopen(TargetTexFile, 'at'); + fprintf(fid, '\n\\def\\CustomXGrid{\n'); + for i=1:length(XTick) + fprintf(fid, '\\NDPvline[style=CustomXGridStyle]{%f}\n', adj.XTick(i)); + end + fprintf(fid, '}\n'); + fclose(fid); +\end{verbatim} + +In Latex just define the style ``CustomXGridStyle'' and use the command +\verb+\CustomXGrid+ after defining the axis. + + +\subsection{Plotting noisy data} +\label{sec:FurtherExamples:NoisyData} + +Plotting measurement data with a lot of noise may be a little tricky. First, you +often have a lot of data to plot which may lead to memory problems in \TeX. +When filtering the data, the appearance of the noise may change which is not +what you intend to do. To solve this problem, the two Matlab-functions +``LatexFilterMinMax'' and ``LatexFilterHull'' are provided. Both take x- and +y-data and divide it in NrOfPoints equally intervals. The filter returns the +maximum and the minimum value of each interval. + +The filter ``LatexFilterHull'' returns a vector which contains the minima first +and then the maxima. This data may be plotted with ``fillstyle=solid'' as in +section~\ref{sec:FillArea}. + +The filter ``LatexFilterMinMax'' returns maximum and minimum value of each +interval (with corresponding x-data). This data may be plotted as a ``normal +line''. As pstricks-lines are normally closed lines, this may lead to a plot +where the noise seems exagerated. You may therefore use the option linejoin as +demonstrated in the following examples. The red dots mark the actual data. +Notice that the measurement data seems noisier than it is if it is plotted with +linejoin=0. Plotting with linejoin=2 represents the data much better. The +standard for linejoin is 0. The StdLineStyXX defined in this package are defined +with linejoin=1. + +\begin{minipage}{0.35\linewidth} +\begin{verbatim} + ... + % linejoin=0: + \listplot[linewidth=5pt]% + {\NoiseData}% + ... + % linejoin=1: + \listplot[linejoin=1, % + linewidth=5pt]{\NoiseData}% + ... + % linejoin=2: + \listplot[linejoin=1, % + linewidth=5pt]{\NoiseData}% + ... +\end{verbatim} +\end{minipage} +\begin{minipage}{0.65\linewidth} +\centering + \begin{NumericDataPlot}{\textwidth}{5cm} + \setxAxis{xMin=0.00, xMax=0.5, Dx=0.25, xO=0.00, + xCoordMin=0, xCoordMax=300} + \setyAxis{yMin=4.5, yMax=5.5, Dy=0.5} + + \plotxAxis{linejoin=0} + \plotyAxis[NoLabel]{} + + \listplot[linewidth=5pt]{\NoiseData}% + \listplot[plotstyle=dots, linecolor=red, dotsize=2pt]{\NoiseData} + + \setxAxis{xMin=0.00, xMax=0.5, Dx=0.25, xO=0.00, + xCoordMin=330, xCoordMax=630} + \setyAxis{yMin=4.5, yMax=5.5, Dy=0.5} + + \plotxAxis{linejoin=1} + \plotyAxis[NoTickLabel,NoLabel]{} + + \listplot[linejoin=1, linewidth=5pt]{\NoiseData}% + \listplot[plotstyle=dots, linecolor=red, dotsize=2pt]{\NoiseData} + + \setxAxis{xMin=0.00, xMax=0.5, Dx=0.25, xO=0.00, + xCoordMin=660, xCoordMax=1000} + \setyAxis{yMin=4.5, yMax=5.5, Dy=0.5} + + \plotxAxis{linejoin=2} + \plotyAxis[NoTickLabel,NoLabel]{} + + \listplot[linejoin=2, linewidth=5pt]{\NoiseData}% + \listplot[plotstyle=dots, linecolor=red, dotsize=2pt]{\NoiseData} + + \end{NumericDataPlot} +\end{minipage} + +\begin{minipage}{0.5\linewidth} + \centering + \includegraphics{fig_NoiseData_ClosedLine} +\end{minipage} +\begin{minipage}{0.5\linewidth} + \centering + \includegraphics{fig_NoiseData_OpenLine} +\end{minipage} + + + +\subsection{Customized Tick Labels} + + +\begin{minipage}[T]{0.5\linewidth} + \lstinputlisting[linerange=5-12]{examples/furtherEx_TickLabels} +\end{minipage} +\hspace{1ex} +\begin{minipage}[T]{0.4\linewidth} + \input{examples/furtherEx_TickLabels} +\end{minipage} diff --git a/Master/texmf-dist/doc/latex/numericplots/MatlabSupport.tex b/Master/texmf-dist/doc/latex/numericplots/src/MatlabSupport.tex index 6c914996ca4..a506af95c5f 100644 --- a/Master/texmf-dist/doc/latex/numericplots/MatlabSupport.tex +++ b/Master/texmf-dist/doc/latex/numericplots/src/MatlabSupport.tex @@ -1,5 +1,4 @@ \subsection{export2latex.m} - The function \texttt{export2latex(data, filename, [options])} may be used to export data from Matlab to be used with NumericPlots.sty. The function takes the two parameters data and filename, where filename is the name of the file where @@ -16,6 +15,7 @@ descr. \item data(1,i).y = $Y_i$ \item data(1,i).ident = Identifier \item (data(1,i).descr = Description) + \item (data(1,i).group = GroupNr) \end{itemize} Identifier must be a valid Latex command name, which basically means it must be a string without numbers. @@ -31,20 +31,26 @@ Patrick?!?) The optional parameter \texttt{options} might be used to control which additional information is provided in the output file. \begin{itemize} - \item \texttt{options.DataBoundaries} [true] If set to true, the output file - contains the commands \verb+\DataXmin+, \verb+\DataXmax+, \verb+\DataYmin+ and - \verb+\DataYmax+ which may be used to define the axis. - \item \texttt{options.AxisBoundaries} [false] If set to true, the output file - contains the commands \verb+\DataXminAxis+, \verb+\DataXmaxAxis+, - \verb+\DataYminAxis+ and \verb+\DataYmaxAxis+ which may be used to define the - axis. In contrary to the DataBoundaries the AxisBoundaries add an additional - gap of \texttt{options.AxisBoundariesGap} [10] percent of the full scale to - the data boundaries such that the plot doesn't touch the axis. + \item \texttt{options.DataBoundaries} [true] If set to true, the output file + contains the commands \verb+\DataXmin+, \verb+\DataXmax+, \verb+\DataYmin+ and + \verb+\DataYmax+ which may be used to define the axis. + \item \texttt{options.AxisBoundaries} [false] If set to true, the output file + contains the commands \verb+\DataXminAxis+, \verb+\DataXmaxAxis+, + \verb+\DataYminAxis+ and \verb+\DataYmaxAxis+ which may be used to define the + axis. In contrary to the DataBoundaries the AxisBoundaries add an additional + gap of \texttt{options.AxisBoundariesGap} [10] percent of the full scale to + the data boundaries such that the plot doesn't touch the axis. + \item \texttt{options.SuppressWarning} [false] suppresses the warning about + max/min values being to close together + \item \texttt{options.precision} [empty] how many decimal places should be + printed for x and y values. Will be calculated automatically if left empty. + \item \texttt{options.NaNsplit [false]} if true, the data will be split at NaN + values. See \verb+\multilistplot+ for how to plot them. \end{itemize} \subsection{struct2latex.m} -The function -\texttt{struct2latex(data,[xname],[downsample],[filename],[postfix],[options])} +The function\\ +\texttt{struct2latex(data,[xname],[downsample],[filtertype],[filename],[postfix],[options])}\\ may be used to export a Matlab struct to be used with NumericPlots.sty. The function is based on export2latex and the \verb+options+ argument is given to export2latex. The optional argument \verb+xname+ specifies the fieldname of the @@ -62,6 +68,10 @@ optional argument \verb+postfix+ can be used to put a postfix after the fieldname in the identifier of the y-data. The \verb+options+ argument is also optional and equal to the options argument of the function export2latex. +Filter may be one of \verb+{'none','MinMax','Hull'}+. The corresponding +filter will be applied to the data before exporting it. See +\ref{sec:FurtherExamples:NoisyData} for further details. + Matlab example. \begin{verbatim} % data for struct2latex should be row-vectors. anyway, column-vectors are @@ -76,9 +86,9 @@ Matlab example. data.exp = exp(t); data.tan = tan(t); - %struct2latex(data,xname,downsample,filename,postfix,options) + %struct2latex(data,xname,downsample,filename,filtertype,postfix,options) %downsample,filename,postfix,options are optional arguments - struct2latex(data,'time',1,'texdataA','row'); + struct2latex(data,'time',1,'none','texdataA','row'); \end{verbatim} \subsection{dspace2struct} diff --git a/Master/texmf-dist/doc/latex/numericplots/src/MultiplePlots.tex b/Master/texmf-dist/doc/latex/numericplots/src/MultiplePlots.tex new file mode 100644 index 00000000000..de2b8a42dc7 --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/MultiplePlots.tex @@ -0,0 +1,37 @@ +% Copyright 2010 Thomas Koenig, Alexander Michel +% +% This file is part of NumericPlots. +% +% NumericPlots is free software: you can redistribute it and/or modify +% it under the terms of the GNU General Public License as published by +% the Free Software Foundation, either version 3 of the License, or +% any later version. +% +% NumericPlots is distributed in the hope that it will be useful, +% but WITHOUT ANY WARRANTY; without even the implied warranty of +% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +% GNU General Public License for more details. +% +% You should have received a copy of the GNU General Public License +% along with NumericPlots. If not, see <http://www.gnu.org/licenses/>. + + +\section{Multiple plots in one picture}\label{sec:MultiplePlots} + +xPicMin, xPicMax, yPicMin and yPicMax are the inner coordinates of one picture. +The position of the axes are defined in this coordinate system via xCoordMin, +xCoordMax, yCoordMin and yCoordMax. + +Example: + + +\lstinputlisting[firstline=8]{examples/multiplots_exampleI} + +\input{examples/multiplots_exampleI} + + +An example with different y-axes on the left and on the right side: + +\lstinputlisting{examples/multiplots_exampleII} + +\input{examples/multiplots_exampleII} diff --git a/Master/texmf-dist/doc/latex/numericplots/NumericPlotsDoc.tex b/Master/texmf-dist/doc/latex/numericplots/src/NumericPlotsDoc.tex index 53cabbab2f5..ceaa7fe7373 100644 --- a/Master/texmf-dist/doc/latex/numericplots/NumericPlotsDoc.tex +++ b/Master/texmf-dist/doc/latex/numericplots/src/NumericPlotsDoc.tex @@ -1,4 +1,4 @@ -% Copyright 2010 Thomas Koenig, Alexander Michel, Michael Baumgart +% Copyright 2013 Thomas Koenig, Alexander Michel, Michael Baumgart % % This file is part of NumericPlots. % @@ -18,7 +18,12 @@ \documentclass[parskip]{scrartcl} -\usepackage[Gray]{SIunits} +\usepackage[ansinew]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{lmodern} + +\usepackage{amsmath} +\usepackage{siunitx} % \usepackage{floatbarrier} % \usepackage{showexpl} \usepackage{etex} % use e-TeX’s extended register set @@ -31,7 +36,7 @@ xAxisStyle=Lower, yAxisStyle=Left, ]{NumericPlots} - + \usepackage[ ps2pdf, %% similar to dvips but redefines some macros for use with ps2pdf final, @@ -50,11 +55,40 @@ plainpages=false, hyperindex=true, ]{hyperref} + +\usepackage{graphicx} + +\definecolor{NumericPlotsCommands}{RGB}{0, 102, 153} +\usepackage{listings} +\lstset{language=[latex]tex,tabsize=2,basicstyle=\small\ttfamily,% + numbers=left, numberstyle=\tiny,% + breaklines=true, breakatwhitespace=false,% + emptylines=*1,% + columns=flexible,% + keywordstyle=\color{black},commentstyle=\color{gray},% + keywordstyle={[2]\color{NumericPlotsCommands}},% + morekeywords={[2]setxAxis, setyAxis, NumericDataPlot, plotxAxis, plotyAxis,% + NDPput,putExpX,putExpY,% + putN,putNE,putE,putSE,putS,putSW,putW,putNW,% + PutTickLabelYaxis,PutTickLabelXaxis,% + NDPhline, NDPvline, NDPline, NDPhbox NDPvbox, NDPbox,% + LegendDefinition, LegLine,% + StdLabelOption,StdTickLabelOption,% + multilistplot, testframe}% + } \title{NumericPlots - plot numeric data with latex} \author{Thomas K\"{o}nig, Alexander Michel, Michael Baumgart} \date{\today} +% \includeonly{TestPlots} +% \includeonly{TechnicalDetails} + +% input DefineData here, as the examples from DefineData are used throughout the +% document (includeonly still works). +\input{examples/DefineData} +\input{examples/DataTestRealData} + \begin{document} % redefining the StdLabelOption and StdTickLabelOption applies to all following @@ -71,6 +105,9 @@ generate graphics in \LaTeX. To generate simple graphics from numeric data, however, it is difficult to use. This package provides a simpler interface for the pstricks-package to plot numeric data. +The authors may be reached at +\href{mailto:numericplots@tikey.de}{numericplots@tikey.de}. + \tableofcontents \part{Introduction} @@ -95,7 +132,7 @@ GNU General Public License for more details. You should have received a copy of the GNU General Public License along with NumericPlots. If not, see http://www.gnu.org/licenses/. -Copyright 2010 Thomas K\"{o}nig, Alexander Michel, Michael Baumgart +Copyright 2013 Thomas K\"{o}nig, Alexander Michel, Michael Baumgart % \part{Using the package} -> in BasicFunctionality @@ -108,9 +145,9 @@ Copyright 2010 Thomas K\"{o}nig, Alexander Michel, Michael Baumgart \input{MatlabSupport} -\section{package options} +%\section{package options} -\section{list of commands and options} +%\section{list of commands and options} \include{options} diff --git a/Master/texmf-dist/doc/latex/numericplots/Roll406_Ref2288.tex b/Master/texmf-dist/doc/latex/numericplots/src/Roll406_Ref2288.tex index 4a58064d7c0..4a58064d7c0 100644 --- a/Master/texmf-dist/doc/latex/numericplots/Roll406_Ref2288.tex +++ b/Master/texmf-dist/doc/latex/numericplots/src/Roll406_Ref2288.tex diff --git a/Master/texmf-dist/doc/latex/numericplots/src/TechnicalDetails.tex b/Master/texmf-dist/doc/latex/numericplots/src/TechnicalDetails.tex new file mode 100644 index 00000000000..f60ba99e253 --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/TechnicalDetails.tex @@ -0,0 +1,254 @@ +% Copyright 2013 Thomas Koenig, Alexander Michel +% +% This file is part of NumericPlots. +% +% NumericPlots is free software: you can redistribute it and/or modify +% it under the terms of the GNU General Public License as published by +% the Free Software Foundation, either version 3 of the License, or +% any later version. +% +% NumericPlots is distributed in the hope that it will be useful, +% but WITHOUT ANY WARRANTY; without even the implied warranty of +% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +% GNU General Public License for more details. +% +% You should have received a copy of the GNU General Public License +% along with NumericPlots. If not, see <http://www.gnu.org/licenses/>. + +\section{Details} + +\subsection{Labels and TickLabels}\label{sec:Details:Labels} + +% mit input und lstinputlisting liese sich auch eine Umgebung definieren, mit +% der Beispiele automatisch gesetzt werden können. + +The following example shows some possibilities to format the axis labels and the +tick labels. The example is not intended to be pretty nor useful in any other +way than just showing some labels. + +\input{examples/LabelsNTickLabels} + +\lstinputlisting{examples/LabelsNTickLabels.tex} + + + + +\subsection{Coordinate Systems} + +This section should just give some hints how to use the different coordinate +systems. + +A new plot is created with the environment +\texttt{NumericDataPlot}. The options are illustrated in the following example. + +Consider the plot drawn below which is defined by the following code. Note that the example parameters deviate from the standard values to clarify the general possibilities. + +\begin{minipage}[T]{0.5\linewidth} + \begin{verbatim} + \begin{NumericDataPlot} + [xPicMin=300, xPicMax=700, yPicMin=200, yPicMax=700, + llx=2cm, lly=1.5cm, urx=1cm, ury=1cm] + {8cm}{6.5cm} +... +% some axes and stuff + ... + \end{NumericDataPlot} + \end{verbatim} +\end{minipage} + +The total width and total height of the plot object are set with the mandatory arguments of \texttt{NumericDataPlot}. These dimensions define the bounding box of the plot object (dashed box in the plot below), as it is seen by the \TeX~interpreter\footnote{Because the elements inside a \texttt{NumericDataPlot} environment are set relative to an internal coordinate system, content may be placed outside the bounding box and may overlap with surrounding elements.}. The internal, dimensionless coordinate system, in which the actual axes will be placed, is defined by the optional xPicMin, xPicMax, yPicMin and yPicMax values. The location of the horizontal and vertical axes x=xPicMin, x=xPicMax, and y=yPicMin, y=yPicMax, respectively, relative to the bounding box is controlled by the padding values llx, lly, urx and ury. Thus, the actual length Wx of the range xPicMax-xPicMin on the page is calculated by +\begin{align*} +\mathrm{Wx} = \mathrm{total\ width} - \mathrm{llx} - \mathrm{urx}, +\end{align*} +and alike for the y direction. Obviously, the padding values should be positive. + +The standard values of the padding values are chosen such that single line axis labels and 3-4 digit tick labels should be within the bounding box. + +\vspace{1cm} + +\begin{center} +\psframebox[framesep=0pt,boxsep=false,linestyle=dashed]{% + \begin{NumericDataPlot} + [xPicMin=300, xPicMax=700, yPicMin=200, yPicMax=700, + llx=2cm, lly=1.5cm, urx=1cm, ury=1cm] + {8cm}{6.5cm} + + \psline(300,200)(700,200)(700,700)(300,700)(300,200) + \pnode(300,200){PicLL} + \pnode(700,200){PicLR} + \pnode(700,700){PicUR} + \pnode(300,700){PicUL} + \rput(200,100){\Rnode{CapLL}{(xPicMin, yPicMin)}} + \ncline{->}{CapLL}{PicLL} + \rput(800,100){\Rnode{CapLR}{(xPicMax, yPicMin)}} + \ncline{->}{CapLR}{PicLR} + \rput(800,800){\Rnode{CapUR}{(xPicMax, yPicMax)}} + \ncline{->}{CapUR}{PicUR} + \rput(200,800){\Rnode{CapUL}{(xPicMin, yPicMax)}} + \ncline{->}{CapUL}{PicUL} + + % \pnode(400,400){PlotLL} + % \pnode(600,400){PlotLR} + % \pnode(600,600){PlotUR} + % \pnode(400,600){PlotUL} + % \rput(350,300){\Rnode{PCapLL}{(xCoordMin, yCoordMin)}} + % \ncline{->}{PCapLL}{PlotLL} + % \rput(800,450){\Rnode{PCapLR}{(xCoordMax, yCoordMin)}} + % \ncline{->}{PCapLR}{PlotLR} + % \rput(800,650){\Rnode{PCapUR}{(xCoordMax, yCoordMax)}} + % \ncline{->}{PCapUR}{PlotUR} + % \rput(500,870){\Rnode{PCapUL}{(xCoordMin, yCoordMax)}} + % \ncline{->}{PCapUL}{PlotUL} + + \rput(140,350){\pnode{LLXA}} + \rput(300,350){\pnode{LLXB}} + \ncline{<->}{LLXA}{LLXB} + \naput{llx} + + \rput(350,200){\pnode{LLXA}} + \rput(350,12.5){\pnode{LLXB}} + \ncline{<->}{LLXA}{LLXB} + \naput{lly} + + \rput(780,350){\pnode{URXA}} + \rput(700,350){\pnode{URXB}} + \ncline{<->}{URXA}{URXB} + \naput{urx} + + \rput(350,825){\pnode{URXA}} + \rput(350,700){\pnode{URXB}} + \ncline{<->}{URXA}{URXB} + \naput{ury} + + \rput(795,825){\pnode{HU}} + \rput(795,12.5){\pnode{HL}} + \ncline{<->}{HL}{HU} + \nbput[nrot=:U]{total height} + +\rput(140,-6.25){\pnode{WU}} + \rput(780,-6.25){\pnode{WL}} + \ncline{<->}{WU}{WL} + \nbput[nrot=:U]{total width} + + % \setxAxis{xCoordMin=400, xCoordMax=600, + % xMin=1, xMax=1.6, Dx=0.2} + % \setyAxis + % {yCoordMin=400, yCoordMax=600, + % yMin=50, yMax=150, Dy=25} + + % \plotxAxis[NoLabel]{} + % \plotyAxis[NoLabel]{} + + % \listplot[style=StdLineStyA]{\IdentI} + \end{NumericDataPlot}} + +\end{center} + +In the next example, the placement of multiple axes in the internal coordinate frame is illustrated. The coordinate frame settings are the same as above, but standard padding values are used. + +\begin{verbatim} + \begin{NumericDataPlot} + [xPicMin=300, xPicMax=700, yPicMin=200, yPicMax=700] + {0.8\textwidth}{7cm} + +% set and draw 1. (lower) axes +\setxAxis{xCoordMin=300, xCoordMax=600, xMin=1, xMax=1.6, Dx=0.2} + \setyAxis{yCoordMin=200, yCoordMax=400, yMin=50, yMax=150, Dy=25} + +\plotxAxis{x-label} +\plotyAxis{y-label} + +\listplot[style=StdLineStyA]{\IdentI} + +% set and draw 2. (upper) axes +\setxAxis{xCoordMin=400, xCoordMax=700, xMin=1, xMax=1.6, Dx=0.2} +\setyAxis{yCoordMin=450, yCoordMax=700, yMin=50, yMax=150, Dy=25} + +\plotxAxis[NoLabel]{} +\plotyAxis[NoLabel]{} + +\listplot[style=StdLineStyA]{\IdentI} + +\end{NumericDataPlot} +\end{verbatim} + +\begin{center} +\psframebox[framesep=0pt,boxsep=false,linestyle=dashed]{% + \begin{NumericDataPlot}% + [xPicMin=300, xPicMax=700, yPicMin=200, yPicMax=700] + {8cm}{7cm} + + \psline(300,200)(700,200)(700,700)(300,700)(300,200) \pnode(300,200){PicLL} + \pnode(700,200){PicLR} \pnode(700,700){PicUR} \pnode(300,700){PicUL} + \rput(250,80){\Rnode{CapLL}{(xPicMin, yPicMin)}} + \ncline{->}{CapLL}{PicLL} + \rput(750,80){\Rnode{CapLR}{(xPicMax, yPicMin)}} + \ncline{->}{CapLR}{PicLR} + \rput(750,750){\Rnode{CapUR}{(xPicMax, yPicMax)}} + \ncline{->}{CapUR}{PicUR} + \rput(250,750){\Rnode{CapUL}{(xPicMin, yPicMax)}} + \ncline{->}{CapUL}{PicUL} + + \pnode(300,200){PlotLL} \pnode(600,400){PlotUR} + \rput[l](325,235){\Rnode{PCapLL}{(xCoordMin$_{1}$, yCoordMin$_{1}$)}} + \ncline{->}{PCapLL}{PlotLL} + \rput(500,365){\Rnode{PCapUR}{(xCoordMax$_{1}$, yCoordMax$_{1}$)}} + \ncline{->}{PCapUR}{PlotUR} + + \pnode(400,450){PlotLL} + \pnode(700,700){PlotUR} \rput[l](425,485){\Rnode{PCapLL}{(xCoordMin$_{2}$,yCoordMin$_{2}$)}} + \ncline{->}{PCapLL}{PlotLL} + \rput[r](675,665){\Rnode{PCapUR}{(xCoordMax$_{2}$, yCoordMax$_{2}$)}} + \ncline{->}{PCapUR}{PlotUR} + + + \setxAxis{xCoordMin=300, xCoordMax=600, xMin=1, xMax=1.6, Dx=0.2} + \setyAxis{yCoordMin=200, yCoordMax=400, yMin=50, yMax=150, Dy=25} + \plotxAxis{x-label $gj$} + \plotyAxis{y-label $\hat{E}$} + + \listplot[style=StdLineStyA]{\IdentI} + + + \setxAxis{xCoordMin=400, xCoordMax=700, + xMin=1, xMax=1.6, Dx=0.2} + \setyAxis{yCoordMin=450, yCoordMax=700, + yMin=50, yMax=150, Dy=25} + + \plotxAxis[NoLabel]{} + \plotyAxis[NoLabel]{} + + \listplot[style=StdLineStyA]{\IdentI} + + \end{NumericDataPlot} + } +\end{center} + + +\subsection{Undistorted plot} + +To get an undistorted plot, the following example may be helpful. The width $w$ of +the graphic is set manually. The calculation of the total height $h$ is +\begin{align*} + h &=\left(\frac{yMax-yMin}{xMax-xMin}\right) + \left(\frac{xCoordMax-xCoordMin}{yCoordMax-yCoordMin}\right)\\ + &\hphantom{=} \qquad \left(\frac{yPicMax-yPicMin}{xPicMax-yPicMin}\right)\left( + w-llx-urx + \right) + lly + ury, +\intertext{which simplifies for default values ($xCoordMax=yCoordMax=xPicMax=yPicMax=1000$, $xCoordMin=yCoordMin=xPicMin=yPicMin=0$) to} + h &=\left(\frac{yMax-yMin}{xMax-xMin}\right) + \left( + w-llx-urx + \right) + lly + ury +\end{align*} + + +\input{examples/data_Nyquist} + +\input{examples/NyquistPlot} +\lstinputlisting[firstline=2,lastline=22]{examples/NyquistPlot.tex} + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "NumericPlotsDoc" +%%% End: diff --git a/Master/texmf-dist/doc/latex/numericplots/TestPlots.tex b/Master/texmf-dist/doc/latex/numericplots/src/TestPlots.tex index 87548496b95..9530a120c9f 100644 --- a/Master/texmf-dist/doc/latex/numericplots/TestPlots.tex +++ b/Master/texmf-dist/doc/latex/numericplots/src/TestPlots.tex @@ -14,12 +14,12 @@ % % You should have received a copy of the GNU General Public License % along with NumericPlots. If not, see <http://www.gnu.org/licenses/>. - + \section{Some test plots} - -\clearpage +% +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +\subsection{example} \input{Roll406_Ref2288.tex} @@ -35,13 +35,13 @@ linestyle=none, dotsize=5pt} \newpsstyle{DiaUsed}{style=Dia, dotstyle=+} \begin{minipage}{0.7\linewidth} - \begin{NumericDataPlot}{\textwidth}{7cm} + \begin{NumericDataPlot}{\textwidth}{8.3cm} \setxAxis{xMin=-2.4, xMax=2.4, Dx=1.0, xO=0.0} \setyAxis{yMin=-0.45, yMax=-0.05, Dy=0.1, yO=-0.2, yCoordMin=750} - \plotxAxis[xLabelSep=0.4mm, NoLabel, NoTickLabel]{$z$ in m} - \plotyAxis[yLabelSep=0.8cm]{$\Delta r$ in mm} + \plotxAxis[NoLabel, NoTickLabel]{$z$ in m} + \plotyAxis{$\Delta r$ in mm} \listplot[style=ShapeMeasured]{\DataShapeMeasured} \listplot[style=ShapeFitted]{\DataShapeFitted} \putN{\psframebox[style=PlotTitle]{Formmessung}} @@ -49,8 +49,8 @@ linestyle=none, dotsize=5pt} \setyAxis{yMin=545.15, yMax=545.85, yO=545.4, Dy=0.2, yCoordMin=300, yCoordMax=700} - \plotxAxis[xLabelSep=0.4mm, NoLabel, NoTickLabel]{$z$ in m} - \plotyAxis[yLabelSep=0.8cm]{$r$ in mm} + \plotxAxis[NoLabel, NoTickLabel]{$z$ in m} + \plotyAxis{$r$ in mm} \listplot[style=Rnew]{\DataRadiusNew} \listplot[style=Dia]{\DataRMeasured} @@ -64,8 +64,8 @@ linestyle=none, dotsize=5pt} \putN{\psframebox[style=PlotTitle]{Walzenprofil}} \setyAxis{yMin=-0.45, yMax=0.05, yO=0.0, Dy=0.1, yCoordMax=250} - \plotxAxis[]{$z$ in m} - \plotyAxis[yLabelSep=0.8cm]{$w$ in mm} + \plotxAxis{$z$ in m} + \plotyAxis{$w$ in mm} \listplot[style=StdLineStyX]{\DataWear} \listplot[style=StdLineStyY]{\DataMeasuredWear} @@ -98,3 +98,25 @@ linestyle=none, dotsize=5pt} \end{minipage} + +% +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + +\subsection{bode plot} + +\input{examples/data_BodeDiagrammLinearerTerm} +\input{examples/BodeDiagramm} + +\lstinputlisting{examples/BodeDiagramm.tex} + + +% +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + +\subsection{areas in a plot} + +\input{examples/data_SprungantwortPT1Glied} +\input{examples/Sprungantwort_PT1Glied} + +\lstinputlisting{examples/Sprungantwort_PT1Glied.tex}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/BodeDiagramm.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/BodeDiagramm.tex new file mode 100644 index 00000000000..3400f197456 --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/BodeDiagramm.tex @@ -0,0 +1,44 @@ + \begin{NumericDataPlot}{0.85\textwidth}{6.5cm} + + \setxAxis{xMin=1, xMax=100, Dx=10, xLog} + \setyAxis{yMin=-20, yMax=0, Dy=5, yO=0, yCoordMin=525} + + \plotxAxis[NoTickLabel,NoLabel]{} + \plotyAxis{$\left|G\left(I\omega\right)\right|$ in \si{\decibel}} + + \NDPline[style=StdLineStyA]{0}{0}{1}{0} + \NDPline[style=StdLineStyA]{1}{0}{2}{-20} + + \listplot[style=StdLineStyC]{\DataBetrag} + + \NDPput[x=1, y=0]{\pnode{Pa}} + \NDPput[x=1, y=-3]{\pnode{Pb}} + \ncline{-}{Pb}{Pa} + \NDPput[x=1, y=-1.5]{\pnode{Pc}} + \NDPput[x=2, y=-2.5, RefPoint=r]% + {\Rnode{Pd}{ + \psframebox[fillstyle=solid,fillcolor=white,linestyle=none,framesep=0pt]{% + \SI{-3}{\decibel} Betragskorrektur}}} + \pscustom[linewidth=0.5pt]{\ncline[angleA=0]{->}{Pd}{Pc}} + + \NDPput[x=0.8, y=0]{\pnode{Pf}} + \NDPput[x=1.25, y=-5]{\pnode{Pg}} + \NDPput[x=0.9, y=-12.5, RefPoint=r]% + {\Rnode{Pe}{ + \psframebox[fillstyle=solid,fillcolor=white,linestyle=none]% + {Asymptoten}}} + \pscustom[linewidth=0.5pt]{\ncline{->}{Pe}{Pf}} + \pscustom[linewidth=0.5pt]{\ncline{->}{Pe}{Pg}} + + + \setyAxis{yMin=-90, yMax=0, Dy=45, yO=0, yCoordMax=475} + + \plotxAxis{$\omega$ in $\si{\radian\per\second}$} + \plotyAxis{$\arg\left(G\left(I\omega\right)\right)$ in $\si{\degree}$} + + \listplot[style=StdLineStyC]{\DataPhase} + + \listplot[plotstyle=dots]{10 -45} + \NDPput[x=1, y=-45, RefPoint=lb]{ \SI{-45}{\degree}} + + \end{NumericDataPlot}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/DataTestRealData.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/DataTestRealData.tex index 985ee468f20..985ee468f20 100644 --- a/Master/texmf-dist/doc/latex/numericplots/DataTestRealData.tex +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/DataTestRealData.tex diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/DefineData.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/DefineData.tex new file mode 100644 index 00000000000..d1650b67d03 --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/DefineData.tex @@ -0,0 +1,47 @@ +\def\IdentI{ + 1.0 1.0e2 + 1.1 11e1 + 1.2 1.25e2 + 1.3 110 + 1.4 100 + 1.5 90 + 1.6 80 + } +\def\IdentII{ + 1.0 125 + 1.05 100 + 1.1 75 + 1.15 85 + 1.2 90 + 1.3 115 + 1.4 130 + 1.5 125 + 1.6 120 + } +\def\LogData{ + 6 6 + 10 10 + 20 20 + 30 30 + 40 40 + 50 50 + 60 60 + 70 70 + 80 80 + 90 90 + 100 100 + 200 200 + 300 300 + 400 400 + 500 500 + 600 600 + 700 700 + 800 800 + 900 900 + 1000 1000 + 1100 1100 + 1200 1200 + 1300 1300 + 1400 1400 + 1500 1500 +}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/LabelsNTickLabels.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/LabelsNTickLabels.tex new file mode 100644 index 00000000000..332e4995b45 --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/LabelsNTickLabels.tex @@ -0,0 +1,49 @@ +\begin{center} +\renewcommand{\testframe}[1]{\frame{#1}} +\testframe{ +\begin{NumericDataPlot}% + [urx=2.2cm,ury=2.5cm,llx=2.0cm,lly=1.8cm]% + {0.8\textwidth}{12cm} + + \setxAxis{xMin=1.0, xMax=1.6, Dx=0.2} + \setyAxis{yMin=50, yMax=150, Dy=25} + + \plotxAxis% + [TickLabelSep=2\baselineskip, LabelSep=0em, LabelOption=\color{blue}, + LabelPos=1, LabelRefPt=tr, LabelOrientation=l]% + {x-label\\2 lines 0 em} + + \plotyAxis% + [TickLabelSep=3em, LabelSep=0em, LabelPos=0.25, % + LabelRefPt=bl]% + {y-label\\testing 0em} + + \PutTickLabelYaxis[y=60,TickLabelSep=0pt]{$60$} + \PutTickLabelXaxis[x=1.1]{$1.1$} + \PutTickLabelXaxis[x=1.05,TickLabelSep=0em]{$1.05$} + \PutTickLabelXaxis% + [x=1.2,TickLabelSep=1ex,TickLabelRot=45,TickLabelRefPt=tr]% + {test at $1.2$} + + \listplot[style=StdLineStyA]{\IdentI} + + \setxAxis{xMin=1000, xMax=1600, Dx=60} + \setyAxis{yMin=50, yMax=150, Dy=25} + + \plotxAxis% + [TickLabelSep=1em, LabelSep=3em, AxisStyle=Upper, NoGrid, % + LabelOption=\Large,TickLabelRot=45,TickLabelRefPt=bl]% + {x-label\\test 3em} + \plotyAxis% + [TickLabelSep=0em, LabelSep=3em, AxisStyle=Right, NoGrid, % + LabelOrientation=r]% + {y-label\\test 3em text} + + \PutTickLabelXaxis[x=1500]{$1500$} + \PutTickLabelYaxis[ax=right,y=135]{$135$} + \PutTickLabelYaxis[y=140,TickLabelSep=1em]{$140$} + \PutTickLabelYaxis[y=120,TickLabelSep=0em,TickLabelRot=-45]{$120$} +\end{NumericDataPlot} +} +%\renewcommand{\testframe}[1]{#1} +\end{center}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/NyquistPlot.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/NyquistPlot.tex new file mode 100644 index 00000000000..5af97bbff91 --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/NyquistPlot.tex @@ -0,0 +1,76 @@ + + \newlength{\GRheight} + \newlength{\GRwidth} + + % desired width of the graphic + \setlength{\GRwidth}{0.5\textwidth} + % calculate height: + % first intermediate step + % axis width: GRwidth - (llx+urx) + \setlength{\GRheight}% + {\GRwidth-7ex-\baselineskip-2pt-2ex} + % sec. intermediate step + % scale with data range ration + % factor 0.7692 = (yMax-yMin)/(xMax-xMin) + \setlength{\GRheight}{0.7692\GRheight} + % third intermediate step + % add padding values to axis height to obtain total height. + \begin{NumericDataPlot}% + {\GRwidth}{\GRheight+2\baselineskip+1ex+2pt+0.5em} + + \setxAxis{xMin=-1.1, xMax=1.5, Dx=0.5, xO=0} + \setyAxis{yMin=-1, yMax=1, Dy=0.5, yO=0} + + \plotxAxis{$Real\left(G\left(I\omega\right)\right)$} + \plotyAxis{$Imag\left(G\left(I\omega\right)\right)$} + + \listplot[style=StdLineStyA]{\DataNyquistNeg} + \listplot[style=StdLineStyA]{\DataNyquistPos} + + % Pfeile + \listplot% + [style=StdLineStyA, arrows=->, linestyle=none]{\DataNyquistArrowPos} + \listplot% + [style=StdLineStyA, arrows=<-, linestyle=none]{\DataNyquistArrowNeg} + + % Beschriftung +% 1.00000 -0.00000 +% 0.80000 0.40000 +% 0.00000 0.00000 + \NDPput[x=1.0, y=0.0]{\pnode{Pa1}} + \NDPput[x=0.8, y=-0.4]{\pnode{Pa2}} + \NDPput[x=0.0, y=0.0]{\pnode{Pa3}} + \NDPput[x=1.1, y=0.1, RefPoint=l]% + {\Rnode{Pb1}{ + \psframebox[fillstyle=solid,fillcolor=white,linestyle=none]{% + $\omega=0$}}} + \ncline{-}{Pb1}{Pa1} + \NDPput[x=0.9, y=-0.6, RefPoint=l]% + {\Rnode{Pb2}{ + \psframebox[fillstyle=solid,fillcolor=white,linestyle=none]{% + $\omega=0.5$}}} + \ncline{-}{Pb2}{Pa2} + \NDPput[x=-0.1, y=-0.15, RefPoint=r]% + {\Rnode{Pb3}{ + \psframebox[fillstyle=solid,fillcolor=white,linestyle=none]{% + $\omega=\infty$}}} + \ncline{-}{Pb3}{Pa3} + \NDPput[x=-0.1, y=0.15, RefPoint=r]% + {\Rnode{Pc3}{ + \psframebox[fillstyle=solid,fillcolor=white,linestyle=none]{% + $\omega=-\infty$}}} + \ncline{-}{Pc3}{Pa3} + + % Pfeil + \ncline{->}{Pa3}{Pa2} + + % Marker + \listplot[style=StdLineStyC, plotstyle=dots]{\DataNyquistMarkPos} + \listplot[style=StdLineStyC, plotstyle=dots, dotstyle=x, dotsize=10pt]{-1 0} + + \end{NumericDataPlot} + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "../NumericPlotsDoc" +%%% End: diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/Sprungantwort_PT1Glied.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/Sprungantwort_PT1Glied.tex new file mode 100644 index 00000000000..d7fee5c910a --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/Sprungantwort_PT1Glied.tex @@ -0,0 +1,39 @@ + \begin{NumericDataPlot}{0.75\textwidth}{6cm} + + \setxAxis{xMin=0.0, xMax=4.0, Dx=0.5} + \setyAxis{yMin=0, yMax=11.5, Dy=2} + + \plotxAxis{$t$} + \plotyAxis{$h\left(t\right)$} + + % Markiere Fläche + \pscustom[fillstyle=solid, fillcolor=blue!30, linestyle=none]{ + \listplot{\DataSprungantwort} + \NDPline{4}{10}{0}{10} + } + + % Hilfslinien + \NDPline{0}{0}{0.5}{10} + \NDPvline[linestyle=dashed, linewidth=0.5pt]{0.5} + \NDPhline[linestyle=dashed, linewidth=0.5pt]{10} + + + % plotte Sprungantwort + \listplot[style=StdLineStyC]{\DataSprungantwort} + + + % Beschriftung + \NDPput[x=0,y=10.3]{\pnode{A}} + \NDPput[x=0.5,y=10.3]{\pnode{B}} + \ncline[linewidth=0.5pt]{<->}{A}{B} + \naput{$T$} + + \NDPput[x=0.75, y=9]{\pnode{Fl1}} + \NDPput[x=1.25, y=7]{\Rnode{Fl2}{$A$}} + \ncline[linewidth=0.5pt]{->}{Fl2}{Fl1} + + \NDPput[x=1.1,y=10]{\pnode{V1}} + \NDPput[x=1.3, y=10.75]{\Rnode{V2}{$V$}} + \ncline[linewidth=0.5pt]{->}{V2}{V1} + + \end{NumericDataPlot}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_Boxes.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_Boxes.tex new file mode 100644 index 00000000000..47243a1df21 --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_Boxes.tex @@ -0,0 +1,22 @@ +\begin{NumericDataPlot} + {\textwidth}{6cm} + \setxAxis + {xMin=1, xMax=1.6, Dx=0.2} + \setyAxis + {yMin=50, yMax=150, Dy=25} + + \plotxAxis[NoLabel]{} + \plotyAxis[NoLabel]{} + + \NDPhbox[fillstyle=solid,fillcolor = green]% + {75.0}{100.0}% + + \listplot[style=StdLineStyA] {\IdentI} + + \NDPvbox[fillstyle=solid,fillcolor=red] + {1.4}{1.5} + + \NDPbox[fillstyle=solid,% + fillcolor=orange, opacity=0.2, linestyle=none]% + {1.1}{60}{1.15}{130} +\end{NumericDataPlot}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_EasyPlot.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_EasyPlot.tex new file mode 100644 index 00000000000..0a226a1f9f3 --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_EasyPlot.tex @@ -0,0 +1,9 @@ +\begin{NumericDataPlot}{\textwidth}{6.5cm} + \setxAxis{xMin=-1, xMax=2, Dx=0.5, xO=0} + \setyAxis{yMin=-50, yMax=150, Dy=25, yO=0} + + \plotxAxis{x-axis label} + \plotyAxis{y-axis label} + + \listplot[style=StdLineStyA]{\IdentI} +\end{NumericDataPlot}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_Grid.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_Grid.tex new file mode 100644 index 00000000000..1b98d0cd70c --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_Grid.tex @@ -0,0 +1,13 @@ +\begin{NumericDataPlot} + {\textwidth}{6.5cm} + \setxAxis{xMin=1, xMax=1.6, Dx=0.1, DDx=0.2} + \setyAxis{yMin=50, yMax=150, Dy=12.5, DDy=25} + + \plotxGrid + \plotyGrid + \plotxAxis[NoLabel, NoGrid, AxisStyle=Boxed]{} + \plotyAxis[NoLabel, NoGrid, AxisStyle=Boxed]{} + + \listplot[style=StdLineStyA]{\IdentI} + +\end{NumericDataPlot}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_Labels.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_Labels.tex new file mode 100644 index 00000000000..f48318cab8f --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_Labels.tex @@ -0,0 +1,17 @@ +\begin{NumericDataPlot}{\textwidth}{6.5cm} + \setxAxis{xMin=1, xMax=1.6, Dx=0.1, DDx=0.2} + \setyAxis{yMin=75, yMax=130, Dy=12.5} + + \plotxAxis + [LabelOption=\LARGE,% + TickLabelOption=\color{red},% + LabelSep=40pt] + {x-axis label} + \plotyAxis + [NoLabel, NoTicks, NoTickLabel] + {y-axis label} + + \listplot[style=StdLineStyA]{\IdentI} + \listplot[style=StdLineStyB]{\IdentII} + +\end{NumericDataPlot}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_Legend.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_Legend.tex new file mode 100644 index 00000000000..0078b241b79 --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_Legend.tex @@ -0,0 +1,3 @@ +\LegendDefinition{ + \LegLine{style=StdLineStyA} & IdentI +}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_LegendI.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_LegendI.tex new file mode 100644 index 00000000000..c6872619bc8 --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_LegendI.tex @@ -0,0 +1,4 @@ +\LegendDefinition{ + \LegLine{style=StdLineStyA} & IdentI\\ + \LegLine{style=StdLineStyB, linewidth=3pt} & second legend +}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_LegendII.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_LegendII.tex new file mode 100644 index 00000000000..9958a7830f5 --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_LegendII.tex @@ -0,0 +1,8 @@ + \newpsstyle{LegendBoxStyle}% + {framearc=0.2, fillstyle=solid, fillcolor=yellow, opacity=0.2} + \LegendDefinition[nrCols=2]{ + \LegLine{style=StdLineStyA} & IdentI & + \LegLine{style=StdLineStyB, linewidth=3pt} & legend 2 + } + \newpsstyle{LegendBoxStyle}% + {fillstyle=solid, fillcolor=white}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_LegendIII.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_LegendIII.tex new file mode 100644 index 00000000000..769f11f0adb --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_LegendIII.tex @@ -0,0 +1,7 @@ +\LegendDefinition[LabelOrientation=c]{ + \LegLine{style=StdLineStyA} & IdentI\\ + \LegLine{style=StdLineStyB, linewidth=3pt} & second legend\\ + \LegLine{style=StdLineStyC} & whatever this data is\ldots\\ + \LegLine{style=StdLineStyD} & and more data\\ + \LegDot{style=StdLineStyC, plotstyle=dots} & plotstyle=dots +}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_LineStyles.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_LineStyles.tex new file mode 100644 index 00000000000..0f0675b7983 --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_LineStyles.tex @@ -0,0 +1,27 @@ +\begin{NumericDataPlot} + {\textwidth}{6.5cm} + + \definecolor{MyColor}{cmyk}{0.6 0.21 1.0 0.2} + \newpsstyle{MyLine}{linecolor=MyColor, linewidth=2pt, linestyle=dashed, + dash=1pt 1pt 4pt 1pt 1pt 3pt, dotstyle=*, showpoints=true, dotsize=5pt} + \newpsstyle{MyLineA}{linecolor=blue, linestyle=dotted, + dotstyle=asterisk, showpoints=true} + + \setxAxis + {xMin=1, xMax=1.6, Dx=0.2} + \setyAxis + {yMin=50, yMax=150, Dy=25} + + \plotxAxis[NoLabel]{} + \plotyAxis[NoLabel]{} + + \listplot[style=MyLine] + {\IdentI} + \listplot[style=MyLineA] + {\IdentII} + + \putSE{\LegendDefinition{ + \LegLine{style=MyLine} & IdentI\\ + \LegLine{style=MyLineA} & IdentII + }} +\end{NumericDataPlot}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_Lines.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_Lines.tex new file mode 100644 index 00000000000..3c6219e0894 --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_Lines.tex @@ -0,0 +1,18 @@ +\begin{NumericDataPlot} + {\textwidth}{6cm} + \setxAxis + {xMin=1, xMax=1.6, Dx=0.2} + \setyAxis + {yMin=50, yMax=150, Dy=25} + + \plotxAxis[NoLabel]{} + \plotyAxis[NoLabel]{} + + \listplot[style=StdLineStyA] + {\IdentI} + + \NDPhline[linecolor=LineColorD]{73} + \NDPvline[linecolor=LineColorE, % + linestyle=dashed]{1.5} + \NDPline[linecolor=red]{1.1}{75}{1.3}{125} +\end{NumericDataPlot}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_LogarithmicI.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_LogarithmicI.tex new file mode 100644 index 00000000000..22e88aa6118 --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_LogarithmicI.tex @@ -0,0 +1,8 @@ +\begin{NumericDataPlot}{\textwidth}{6.5cm} + \setxAxis{xMin=6, xMax=2500, Dx=10, xLog} + \setyAxis{yMin=0, yMax=2500, Dy=500} + \plotxAxis{} + \plotyAxis{} + + \listplot{\LogData} +\end{NumericDataPlot}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_LogarithmicII.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_LogarithmicII.tex new file mode 100644 index 00000000000..fbbd17e5044 --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_LogarithmicII.tex @@ -0,0 +1,8 @@ +\begin{NumericDataPlot}{\textwidth}{6.5cm} + \setxAxis{xMin=1, xMax=1500, Dx=10, xLog} + \setyAxis{yMin=1, yMax=1500, Dy=10, yLog} + \plotxAxis{} + \plotyAxis{} + + \listplot{\LogData} +\end{NumericDataPlot}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_MultipleData.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_MultipleData.tex new file mode 100644 index 00000000000..e12ed83290e --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_MultipleData.tex @@ -0,0 +1,20 @@ +\begin{NumericDataPlot} + {\textwidth}{6.5cm} + \setxAxis + {xMin=1, xMax=2, Dx=0.2} + \setyAxis + {yMin=50, yMax=150, Dy=25} + + \plotxAxis{x-axis label} + \plotyAxis{y-axis label} + + \listplot[style=StdLineStyA] + {\IdentI} + \listplot[style=StdLineStyB] + {\IdentII} + + \putSE{\LegendDefinition{ + \LegLine{style=StdLineStyA} & IdentI \\ + \LegLine{style=StdLineStyB} & IdentII + }} +\end{NumericDataPlot}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_Objects.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_Objects.tex new file mode 100644 index 00000000000..f02df7e8416 --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_Objects.tex @@ -0,0 +1,29 @@ +\begin{NumericDataPlot} + {\textwidth}{6.5cm} + \setxAxis + {xMin=1, xMax=2, Dx=0.2} + \setyAxis + {yMin=50, yMax=150, Dy=25} + + \plotxAxis[LabelPos=1, LabelRefPt=tr]% + {x-axis label} + \plotyAxis[NoLabel]{} + + \listplot[style=StdLineStyA] + {\IdentI} + + % put some stuff somewhere + \NDPput[x=1.2, y=75, RefPoint=br]{text} + \NDPput[x=1.2, y=100, Rot=45]{$a^2+b^2$} + + % or put nodes... + \NDPput[x=1.6, y=100]{\pnode{A}} + \NDPput[x=1.8, y=150]{\pnode{B}} + % ...and draw a line between them + \ncline{A}{B} + + % or put the legend at a specific position + \NDPput[x=1.8, y=75]{\LegendDefinition{ + \LegLine{style=StdLineStyA} & IdentI + }} +\end{NumericDataPlot}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_PlaceObjects.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_PlaceObjects.tex new file mode 100644 index 00000000000..ddacb061a1e --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_PlaceObjects.tex @@ -0,0 +1,31 @@ +\begin{NumericDataPlot} + {\textwidth}{6.5cm} + \setxAxis + {xMin=1, xMax=2, Dx=0.2} + \setyAxis + {yMin=50, yMax=150, Dy=25} + + \plotxAxis[LabelPos=1, LabelRefPt=tr]% + {x-axis label} + \plotyAxis[NoLabel]{} + + \listplot[style=StdLineStyA] + {\IdentI} + + % put some stuff somewhere + \NDPput[x=1.2, y=75, RefPoint=br]{text} + \NDPput[x=1.2, y=100, Rot=45]{$a^2+b^2$} + + % or put nodes... + \NDPput[x=1.6, y=100]{\pnode{A}} + \NDPput[x=1.8, y=150]{\pnode{B}} + % ...and draw a line between them + \ncline{A}{B} + % .. with text + \naput{$e^2$} + + % or put the legend at a specific position + \NDPput[x=1.8, y=75]{\LegendDefinition{ + \LegLine{style=StdLineStyA} & IdentI + }} +\end{NumericDataPlot}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_PlaceObjectsII.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_PlaceObjectsII.tex new file mode 100644 index 00000000000..9b10a7d9a4c --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_PlaceObjectsII.tex @@ -0,0 +1,25 @@ + \begin{NumericDataPlot} + {\textwidth}{6.5cm} + \setxAxis + {xMin=1, xMax=1.6, Dx=0.2} + \setyAxis + {yMin=50, yMax=150, Dy=25} + + \plotxAxis{x-axis label} + \plotyAxis[NoLabel]{} + + \listplot[style=StdLineStyA] + {\IdentI} + + \putExpY{$\times 10^{-3}$} + \putExpX{$\times 10^{-6}$} + + \putN{N} + \putS{S} + \putW{W} + \putE{E} + \putNW{NW} + \putNE{NE} + \putSW{SW} + \putSE{SE} + \end{NumericDataPlot}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_PlotWHoles.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_PlotWHoles.tex new file mode 100644 index 00000000000..2a255e3ecb3 --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_PlotWHoles.tex @@ -0,0 +1,8 @@ +\begin{NumericDataPlot}{\textwidth}{6.5cm} + \setxAxis{xMin=560, xMax=650, Dx=20} + \setyAxis{yMin=4, yMax=30, Dy=5, yO=5} + \plotxAxis{} + \plotyAxis{} + + \multilistplot{style=StdLineStyA}{DataIdent} +\end{NumericDataPlot}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_UseRput.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_UseRput.tex new file mode 100644 index 00000000000..c3cb5e304ef --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_UseRput.tex @@ -0,0 +1,29 @@ +\begin{NumericDataPlot} + {\textwidth}{6.5cm} + \setxAxis + {xMin=1, xMax=1.6, Dx=0.2} + \setyAxis + {yMin=50, yMax=150, Dy=25} + + \plotxAxis{x-axis label} + \plotyAxis[NoLabel]{} + + \listplot[style=StdLineStyA] + {\IdentI} + + % put text in the middle of the plot + \rput{45}(500,500){text} + % put a formula in the lower left corner + \rput[bl](0,0){$a^2+b^2=c^2$} + + % or put nodes... + \NDPput[x=1.2, y=125]{\pnode{A}} + \rput(750,900){\Rnode{B}{peak}} + % ...and draw a line between them + \ncline{<-}{A}{B} + + % or put the legend at a specific position + \rput{-45}(750,250){\LegendDefinition{ + \LegLine{style=StdLineStyA} & IdentI + }} +\end{NumericDataPlot}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_UserLinestyles.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_UserLinestyles.tex new file mode 100644 index 00000000000..ce78d5f5bc6 --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/basic_UserLinestyles.tex @@ -0,0 +1,27 @@ +\begin{NumericDataPlot} + {\textwidth}{6.5cm} + + \definecolor{MyColor}{cmyk}{0.6 0.21 1.0 0.2} + \newpsstyle{MyLine}{linecolor=MyColor, linewidth=2pt, linestyle=dashed, + dash=1pt 1pt 4pt 1pt 1pt 3pt, dotstyle=*, showpoints=true, dotsize=5pt} + \newpsstyle{MyLineA}{linecolor=blue, linestyle=dotted, dotstyle=asterisk, + showpoints=true} + + \setxAxis + {xMin=1, xMax=1.6, Dx=0.2} + \setyAxis + {yMin=50, yMax=150, Dy=25} + + \plotxAxis[NoLabel]{} + \plotyAxis[NoLabel]{} + + \listplot[style=MyLine] + {\IdentI} + \listplot[style=MyLineA] + {\IdentII} + + \putSE{\LegendDefinition{ + \LegLine{style=MyLine} & IdentI\\ + \LegLine{style=MyLineA} & IdentII + }} +\end{NumericDataPlot}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/data_BodeDiagrammLinearerTerm.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/data_BodeDiagrammLinearerTerm.tex new file mode 100644 index 00000000000..1e48347f049 --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/data_BodeDiagrammLinearerTerm.tex @@ -0,0 +1,1028 @@ +% EPLdata written by export2latex +% date: 26-Sep-2011 + +\def\ExpDate{26-Sep-2011} +\def\DataBetragXmin{1} +\def\DataBetragXmax{100} +\def\DataBetragYmin{-21} +\def\DataBetragYmax{-0} +\def\DataBetragDxV{20} +\def\DataBetragDyV{4} +\def\DataBetrag{ +1.00000 -0.04321 +1.00927 -0.04401 +1.01863 -0.04483 +1.02807 -0.04566 +1.03761 -0.04651 +1.04723 -0.04737 +1.05693 -0.04825 +1.06673 -0.04914 +1.07662 -0.05005 +1.08661 -0.05098 +1.09668 -0.05192 +1.10685 -0.05288 +1.11711 -0.05386 +1.12747 -0.05486 +1.13792 -0.05587 +1.14847 -0.05691 +1.15912 -0.05796 +1.16987 -0.05903 +1.18071 -0.06013 +1.19166 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-81.38621 +66.62655 -81.46417 +67.24427 -81.54145 +67.86773 -81.61804 +68.49697 -81.69396 +69.13204 -81.76921 +69.77300 -81.84380 +70.41990 -81.91773 +71.07280 -81.99101 +71.73175 -82.06364 +72.39681 -82.13563 +73.06804 -82.20699 +73.74549 -82.27771 +74.42922 -82.34780 +75.11929 -82.41728 +75.81576 -82.48613 +76.51869 -82.55438 +77.22814 -82.62202 +77.94416 -82.68906 +78.66682 -82.75551 +79.39618 -82.82136 +80.13230 -82.88663 +80.87525 -82.95131 +81.62509 -83.01542 +82.38187 -83.07896 +83.14568 -83.14193 +83.91656 -83.20434 +84.69460 -83.26619 +85.47985 -83.32749 +86.27237 -83.38824 +87.07225 -83.44845 +87.87954 -83.50812 +88.69432 -83.56725 +89.51665 -83.62585 +90.34660 -83.68393 +91.18425 -83.74149 +92.02967 -83.79854 +92.88292 -83.85507 +93.74409 -83.91109 +94.61324 -83.96661 +95.49045 -84.02163 +96.37579 -84.07616 +97.26934 -84.13020 +98.17117 -84.18375 +99.08137 -84.23682 +100.00000 -84.28941 +} + +\def\DataGroupDummyXmin{1} +\def\DataGroupDummyXmax{100} +\def\DataGroupDummyYmin{-85} +\def\DataGroupDummyYmax{-0} +\def\DataGroupDummyDxV{20} +\def\DataGroupDummyDyV{17} diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/data_Nyquist.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/data_Nyquist.tex new file mode 100644 index 00000000000..ae8e7aa77ec --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/data_Nyquist.tex @@ -0,0 +1,302 @@ +% EPLdata written by export2latex +% date: 14-Oct-2011 + +\def\ExpDate{14-Oct-2011} +\def\DataNyquistPosXmin{0.0} +\def\DataNyquistPosXmax{1.0} +\def\DataNyquistPosYmin{-0.50} +\def\DataNyquistPosYmax{0.00} +\def\DataNyquistPosDxV{0.2} +\def\DataNyquistPosDyV{0.10} +\def\DataNyquistPos{ +1.00000 0.00000 +1.00000 0.00000 +1.00000 0.00000 +1.00000 0.00000 +1.00000 0.00000 +1.00000 0.00000 +1.00000 0.00000 +1.00000 -0.00000 +1.00000 -0.00000 +1.00000 -0.00000 +1.00000 -0.00000 +1.00000 -0.00000 +1.00000 -0.00000 +1.00000 -0.00000 +1.00000 -0.00000 +1.00000 -0.00000 +1.00000 -0.00000 +1.00000 -0.00000 +1.00000 -0.00000 +1.00000 -0.00001 +1.00000 -0.00002 +1.00000 -0.00010 +1.00000 -0.00100 +1.00000 -0.00200 +0.99990 -0.01000 +0.99960 -0.01999 +0.99948 -0.02273 +0.99933 -0.02583 +0.99914 -0.02936 +0.99889 -0.03337 +0.99856 -0.03792 +0.99814 -0.04310 +0.99760 -0.04897 +0.99690 -0.05563 +0.99599 -0.06319 +0.99483 -0.07175 +0.99332 -0.08144 +0.99139 -0.09241 +0.99010 -0.09901 +0.98890 -0.10479 +0.98569 -0.11875 +0.98159 -0.13444 +0.97633 -0.15202 +0.96962 -0.17163 +0.96108 -0.19340 +0.95027 -0.21740 +0.93664 -0.24360 +0.91961 -0.27190 +0.89848 -0.30201 +0.87258 -0.33345 +0.84123 -0.36546 +0.80391 -0.39704 +0.76031 -0.42690 +0.71051 -0.45353 +0.65505 -0.47535 +0.59503 -0.49089 +0.53202 -0.49897 +0.50000 -0.50000 +0.46798 -0.49897 +0.40497 -0.49089 +0.34495 -0.47535 +0.28949 -0.45353 +0.23969 -0.42690 +0.19609 -0.39704 +0.15877 -0.36546 +0.12742 -0.33345 +0.10152 -0.30201 +0.08039 -0.27190 +0.06336 -0.24360 +0.04973 -0.21740 +0.03892 -0.19340 +0.03038 -0.17163 +0.02367 -0.15202 +0.01841 -0.13444 +0.01431 -0.11875 +0.01110 -0.10479 +0.00990 -0.09901 +0.00861 -0.09241 +0.00668 -0.08144 +0.00517 -0.07175 +0.00401 -0.06319 +0.00310 -0.05563 +0.00240 -0.04897 +0.00186 -0.04310 +0.00144 -0.03792 +0.00111 -0.03337 +0.00086 -0.02936 +0.00067 -0.02583 +0.00052 -0.02273 +0.00040 -0.01999 +0.00010 -0.01000 +0.00000 -0.00200 +0.00000 -0.00100 +0.00000 -0.00010 +0.00000 -0.00002 +0.00000 -0.00001 +0.00000 -0.00000 +0.00000 -0.00000 +0.00000 -0.00000 +0.00000 -0.00000 +0.00000 -0.00000 +0.00000 -0.00000 +0.00000 -0.00000 +0.00000 -0.00000 +0.00000 -0.00000 +0.00000 -0.00000 +0.00000 -0.00000 +0.00000 -0.00000 +0.00000 -0.00000 +0.00000 -0.00000 +0.00000 -0.00000 +0.00000 -0.00000 +0.00000 -0.00000 +0.00000 -0.00000 +} + +\def\DataNyquistNegXmin{0.0} +\def\DataNyquistNegXmax{1.0} +\def\DataNyquistNegYmin{-0.00} +\def\DataNyquistNegYmax{0.50} +\def\DataNyquistNegDxV{0.2} +\def\DataNyquistNegDyV{0.10} +\def\DataNyquistNeg{ +1.00000 -0.00000 +1.00000 -0.00000 +1.00000 -0.00000 +1.00000 -0.00000 +1.00000 -0.00000 +1.00000 -0.00000 +1.00000 -0.00000 +1.00000 0.00000 +1.00000 0.00000 +1.00000 0.00000 +1.00000 0.00000 +1.00000 0.00000 +1.00000 0.00000 +1.00000 0.00000 +1.00000 0.00000 +1.00000 0.00000 +1.00000 0.00000 +1.00000 0.00000 +1.00000 0.00000 +1.00000 0.00001 +1.00000 0.00002 +1.00000 0.00010 +1.00000 0.00100 +1.00000 0.00200 +0.99990 0.01000 +0.99960 0.01999 +0.99948 0.02273 +0.99933 0.02583 +0.99914 0.02936 +0.99889 0.03337 +0.99856 0.03792 +0.99814 0.04310 +0.99760 0.04897 +0.99690 0.05563 +0.99599 0.06319 +0.99483 0.07175 +0.99332 0.08144 +0.99139 0.09241 +0.99010 0.09901 +0.98890 0.10479 +0.98569 0.11875 +0.98159 0.13444 +0.97633 0.15202 +0.96962 0.17163 +0.96108 0.19340 +0.95027 0.21740 +0.93664 0.24360 +0.91961 0.27190 +0.89848 0.30201 +0.87258 0.33345 +0.84123 0.36546 +0.80391 0.39704 +0.76031 0.42690 +0.71051 0.45353 +0.65505 0.47535 +0.59503 0.49089 +0.53202 0.49897 +0.50000 0.50000 +0.46798 0.49897 +0.40497 0.49089 +0.34495 0.47535 +0.28949 0.45353 +0.23969 0.42690 +0.19609 0.39704 +0.15877 0.36546 +0.12742 0.33345 +0.10152 0.30201 +0.08039 0.27190 +0.06336 0.24360 +0.04973 0.21740 +0.03892 0.19340 +0.03038 0.17163 +0.02367 0.15202 +0.01841 0.13444 +0.01431 0.11875 +0.01110 0.10479 +0.00990 0.09901 +0.00861 0.09241 +0.00668 0.08144 +0.00517 0.07175 +0.00401 0.06319 +0.00310 0.05563 +0.00240 0.04897 +0.00186 0.04310 +0.00144 0.03792 +0.00111 0.03337 +0.00086 0.02936 +0.00067 0.02583 +0.00052 0.02273 +0.00040 0.01999 +0.00010 0.01000 +0.00000 0.00200 +0.00000 0.00100 +0.00000 0.00010 +0.00000 0.00002 +0.00000 0.00001 +0.00000 0.00000 +0.00000 0.00000 +0.00000 0.00000 +0.00000 0.00000 +0.00000 0.00000 +0.00000 0.00000 +0.00000 0.00000 +0.00000 0.00000 +0.00000 0.00000 +0.00000 0.00000 +0.00000 0.00000 +0.00000 0.00000 +0.00000 0.00000 +0.00000 0.00000 +0.00000 0.00000 +0.00000 0.00000 +0.00000 0.00000 +0.00000 0.00000 +} + +\def\DataNyquistArrowPosXmin{0.495} +\def\DataNyquistArrowPosXmax{0.506} +\def\DataNyquistArrowPosYmin{-0.49997525} +\def\DataNyquistArrowPosYmax{-0.49997474} +\def\DataNyquistArrowPosDxV{0.002} +\def\DataNyquistArrowPosDyV{0.00000010} +\def\DataNyquistArrowPos{ +0.50502499874 -0.49997474875 +0.49502499876 -0.49997524875 +} + +\def\DataNyquistArrowNegXmin{0.495} +\def\DataNyquistArrowNegXmax{0.506} +\def\DataNyquistArrowNegYmin{0.49997474} +\def\DataNyquistArrowNegYmax{0.49997525} +\def\DataNyquistArrowNegDxV{0.002} +\def\DataNyquistArrowNegDyV{0.00000010} +\def\DataNyquistArrowNeg{ +0.50502499874 0.49997474875 +0.49502499876 0.49997524875 +} + +\def\DataNyquistMarkPosXmin{0.0} +\def\DataNyquistMarkPosXmax{1.0} +\def\DataNyquistMarkPosYmin{-0.40} +\def\DataNyquistMarkPosYmax{0.00} +\def\DataNyquistMarkPosDxV{0.2} +\def\DataNyquistMarkPosDyV{0.08} +\def\DataNyquistMarkPos{ +1.00000 0.00000 +0.80000 -0.40000 +0.00000 -0.00000 +} + +\def\DataNyquistMarkNegXmin{0.0} +\def\DataNyquistMarkNegXmax{1.0} +\def\DataNyquistMarkNegYmin{-0.00} +\def\DataNyquistMarkNegYmax{0.40} +\def\DataNyquistMarkNegDxV{0.2} +\def\DataNyquistMarkNegDyV{0.08} +\def\DataNyquistMarkNeg{ +1.00000 -0.00000 +0.80000 0.40000 +0.00000 0.00000 +} + +\def\DataGroupDummyXmin{0.0} +\def\DataGroupDummyXmax{1.0} +\def\DataGroupDummyYmin{-0.5} +\def\DataGroupDummyYmax{0.5} +\def\DataGroupDummyDxV{0.2} +\def\DataGroupDummyDyV{0.2} diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/data_SprungantwortPT1Glied.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/data_SprungantwortPT1Glied.tex new file mode 100644 index 00000000000..4fba2df9869 --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/data_SprungantwortPT1Glied.tex @@ -0,0 +1,69 @@ +% EPLdata written by export2latex +% date: 27-Sep-2011 + +\def\ExpDate{27-Sep-2011} +\def\DataSprungantwortXmin{0.0} +\def\DataSprungantwortXmax{4.0} +\def\DataSprungantwortYmin{0} +\def\DataSprungantwortYmax{10} +\def\DataSprungantwortDxV{0.8} +\def\DataSprungantwortDyV{2} +\def\DataSprungantwort{ +0.0000 0.0000 +0.0816 1.5063 +0.1633 2.7858 +0.2449 3.8725 +0.3265 4.7955 +0.4082 5.5795 +0.4898 6.2454 +0.5714 6.8109 +0.6531 7.2913 +0.7347 7.6993 +0.8163 8.0459 +0.8980 8.3403 +0.9796 8.5903 +1.0612 8.8026 +1.1429 8.9830 +1.2245 9.1362 +1.3061 9.2663 +1.3878 9.3768 +1.4694 9.4707 +1.5510 9.5504 +1.6327 9.6181 +1.7143 9.6757 +1.7959 9.7245 +1.8776 9.7660 +1.9592 9.8013 +2.0408 9.8312 +2.1224 9.8566 +2.2041 9.8782 +2.2857 9.8966 +2.3673 9.9121 +2.4490 9.9254 +2.5306 9.9366 +2.6122 9.9462 +2.6939 9.9543 +2.7755 9.9612 +2.8571 9.9670 +2.9388 9.9720 +3.0204 9.9762 +3.1020 9.9798 +3.1837 9.9828 +3.2653 9.9854 +3.3469 9.9876 +3.4286 9.9895 +3.5102 9.9911 +3.5918 9.9924 +3.6735 9.9936 +3.7551 9.9945 +3.8367 9.9953 +3.9184 9.9961 +4.0000 9.9966 +} + +\def\DataGroupDummyXmin{0.0} +\def\DataGroupDummyXmax{4.0} +\def\DataGroupDummyYmin{0} +\def\DataGroupDummyYmax{10} +\def\DataGroupDummyDxV{0.8} +\def\DataGroupDummyDyV{2} diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/furtherEx_TickLabels.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/furtherEx_TickLabels.tex new file mode 100644 index 00000000000..79f047b1336 --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/furtherEx_TickLabels.tex @@ -0,0 +1,18 @@ +\begin{NumericDataPlot}{\textwidth}{6cm} + \setxAxis{xMin=1, xMax=1.6, Dx=0.1, DDx=0.2} + \setyAxis{yMin=75, yMax=130, Dy=12.5} + + \plotxAxis[NoTickLabel]{x-axis label} + \plotyAxis[NoLabel, NoTickLabel]{y-axis label} + + \PutTickLabelXaxis[x=1.2]{test} + \PutTickLabelXaxis[x=1.1, ax=upper]{test1} + + \PutTickLabelYaxis[y=80]{test} + \PutTickLabelYaxis[y=100, ax=right]{test1} + + + \listplot[style=StdLineStyA]{\IdentI} + \listplot[style=StdLineStyB]{\IdentII} + +\end{NumericDataPlot}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/multiplots_exampleI.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/multiplots_exampleI.tex new file mode 100644 index 00000000000..f115f4bf30a --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/multiplots_exampleI.tex @@ -0,0 +1,76 @@ +% define linestyles +\newpsstyle{Database}{linecolor=LineColorA, linestyle=none, dotstyle=*, +showpoints=true, dotsize=5pt} +\newpsstyle{Result}{linecolor=LineColorB, linestyle=none, dotstyle=+, +showpoints=true, dotsize=10pt} + +\begin{center} + \begin{NumericDataPlot}[xPicMin=0, xPicMax=1050, + yPicMin=0, yPicMax=1450]{\textwidth}{0.85\textheight} + + % --- definition of the axis and the grid --- + % set the axis of the lower left corner + \setxAxis{xMin=2, xMax=17, Dx=4, xCoordMin=0, xCoordMax=500} + \setyAxis{yMin=20, yMax=70, Dy=20, yCoordMin=0, yCoordMax=500} + + % plot the axis of the lower left corner + \plotxAxis{Stichnummer} + \plotyAxis{$F_{roll}$ in $\si{\mega\newton}$} + + + + + + \listplot[style=Database]{\DataA} + \listplot[style=Result]{\DataB} + \listplot[style=StdLineStyC]{\DataC} + \listplot[style=StdLineStyD]{\DataD} + \listplot[style=StdLineStyE]{\DataE} + \listplot[style=StdLineStyF]{\DataF} + \listplot[style=StdLineStyG]{\DataG} + + % set the y-axis for the plot in the middle of the left side + % x-axis remains the same + \setyAxis{yMin=20, yMax=70, Dy=20, yCoordMin=550, yCoordMax=1050} + % plot the axis (x-axis without ticklabels) + \plotxAxis[NoTickLabel,LabelSep=1ex]{a) Ein plot} + \plotyAxis{$F_{roll}$ in $\si{\mega\newton}$} + + \listplot[style=Database]{\DataA} + \listplot[style=Result]{\DataB} + + % set axis for the plot at the right side + \setxAxis{xMin=2, xMax=17, Dx=4, xCoordMin=600, xCoordMax=1050} + \setyAxis{yMin=20, yMax=70, Dy=10, yCoordMin=0, yCoordMax=1050} + + % plot the axis at the right side (y-axis without label) + \plotxAxis{Stichnummer} + \plotyAxis[NoLabel]{$F_{roll}$ in $\mega\newton$} + + \listplot[style=Database]{\DataA} + \listplot[style=Result]{\DataB} + \listplot[style=StdLineStyC]{\DataC} + \listplot[style=StdLineStyD]{\DataD} + \listplot[style=StdLineStyE]{\DataE} + \listplot[style=StdLineStyF]{\DataF} + \listplot[style=StdLineStyG]{\DataG} + + % set the axis for the plot at the top + \setxAxis{xMin=8, xMax=17, Dx=1, xCoordMin=0, xCoordMax=1050} + \setyAxis{yMin=35, yMax=65, Dy=10, yO=40, yCoordMin=1150, yCoordMax=1450} + + % plot the axis for the plot at the top + \plotxAxis[NoLabel]{Stichnummer} + \plotyAxis[NoLabel]{$F_{roll}$ in $\mega\newton$} + + % plot only part of the data + \listplot[style=Database, xStart=11, xEnd=17]{\DataA} + \listplot[style=Result, xStart=8, xEnd=13]{\DataB} + + \end{NumericDataPlot} + + % put legend outside of the plot + \LegendDefinition[nrCols=1, LabelOrientation=r]{ + \LegLine{style=Database} & Werte aus der Datenbank \\ + \LegLine{style=Result} & Modell} +\end{center}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/numericplots/src/examples/multiplots_exampleII.tex b/Master/texmf-dist/doc/latex/numericplots/src/examples/multiplots_exampleII.tex new file mode 100644 index 00000000000..7c956e943a4 --- /dev/null +++ b/Master/texmf-dist/doc/latex/numericplots/src/examples/multiplots_exampleII.tex @@ -0,0 +1,24 @@ +\newpsstyle{Database}{linecolor=LineColorA, linestyle=none, dotstyle=*, +showpoints=true, dotsize=5pt} +\newpsstyle{Result}{linecolor=LineColorB, linestyle=none, dotstyle=+, +showpoints=true, dotsize=10pt} + +\begin{NumericDataPlot}{\textwidth}{0.25\textheight} + + % --- definition of the axis and the grid --- + \setxAxis{xMin=2, xMax=17, Dx=4} + \setyAxis{yMin=20, yMax=70, Dy=20} + + % plot the axis of the lower left corner + \plotxAxis{Stichnummer} + \plotyAxis{$F_{roll}$ in $\si{\mega\newton}$} + + \listplot[style=Database]{\DataA} + + % define a second y-axis + \setyAxis{yMin=40, yMax=90, Dy=20} + \plotyAxis[AxisStyle=Right, NoGrid]{$F_{roll}$} + + \listplot[style=Result]{\DataA} + +\end{NumericDataPlot}
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Inset neg rlineto % move to x=0 and inset + gsave fill grestore +} def +% +/Tbar { + CLW mul add /z ED + z -2 div CLW 2 div moveto + z 0 rlineto stroke + 0 CLW moveto +} def +% +/Bracket { + CLW mul add dup CLW sub 2 div + /x ED mul CLW add /y ED /z CLW 2 div def + x neg y moveto + x neg CLW 2 div L x CLW 2 div L x y L stroke + 0 CLW moveto +} def +% +/RoundBracket { + CLW mul add dup 2 div + /x ED mul /y ED /mtrx CM def + 0 CLW 2 div T x y mul 0 ne { x y scale } if + 1 1 moveto + .85 .5 .35 0 0 0 curveto + -.35 0 -.85 .5 -1 1 curveto + mtrx setmatrix stroke 0 CLW moveto +} def +% +/SD { 0 360 arc fill } def +% +/EndDot { % DS is the dot size + { /z DS def } { /z 0 def } ifelse % outer or inner dimen + /b ED % the color definition + 0 z DS SD + b { 0 z DS CLW sub SD } if + 0 DS z add CLW 4 div sub + moveto +} def +% +/Shadow { [ { /moveto load } { /lineto load } { /curveto load } { + /closepath load } /pathforall load stopped { pop pop pop pop CP /moveto + load } if ] cvx newpath 3 1 roll T exec } def +% +/NArray { % holds the coordinates and on top of stack the showpoints boolean + /showpoints ED + counttomark 2 div dup cvi /n ED % n 2 div on stack + n eq not { exch pop } if % even numbers of points? delete one + ] aload /Points ED + showpoints not { Points aload pop } if +% { ] aload /Points ED } +% { n 2 mul 1 add -1 roll pop } ifelse % delete the mark symbol +} def +% +/Line { + NArray n 0 eq not + { n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub def + n { Lineto } repeat + CP 4 2 roll ArrowB L pop pop + } if +} def +% +/LineToYAxis { + /Ox ED % Save the x origin value + NArray % all x-y pairs on stack + n { 2 copy moveto % go to current point + Ox exch Lineto % line to y-axis + pop % delete old x-value + } repeat +} def +% +/LineToXAxis{ + /Oy ED % Save the y origin value + NArray % all x-y pairs on stack + n 0 eq not + { n 1 eq { 0 0 /n 2 def } if + ArrowA + /n n 2 sub def + CP 2 copy moveto pop Oy Lineto + n { 2 copy moveto pop Oy Lineto } repeat + CP + 4 2 roll + ArrowB + 2 copy moveto pop Oy + L + pop pop } if +} def +% +/Arcto { + /a [ 6 -2 roll ] cvx def + a r + /arcto load stopped { 5 } { 4 } ifelse { pop } repeat + a +} def +% +/CheckClosed { + dup n 2 mul 1 sub index eq 2 index n 2 mul 1 add index eq + and { pop pop /n n 1 sub def } if +} def +% +/Polygon { + NArray n 2 eq { 0 0 /n 3 def } if + n 3 lt + { n { pop pop } repeat } + { n 3 gt { CheckClosed } if + n 2 mul -2 roll + /y0 ED /x0 ED /y1 ED /x1 ED + x1 y1 + /x1 x0 x1 add 2 div def + /y1 y0 y1 add 2 div def + x1 y1 moveto + /n n 2 sub def + n { Lineto } repeat + x1 y1 x0 y0 6 4 roll Lineto + Lineto pop pop closepath } ifelse +} def +% +/SymbolPolygon { % on stack [ x y x y ... + counttomark % number of elements + 2 add /m ED + 2 copy m 2 roll % copy last two + m 2 div cvi /n ED % n pairs + /YA ED /XA ED % the start point + n 1 sub { + /YB ED /XB ED + /XLength XB XA sub def + /YLength YB YA sub def + /PAngle YLength XLength Atan def + /XYLength XLength YLength Pyth def + /nSym XYLength SymStep Div cvi def + /Shift Symbol stringwidth pop 2 Div def + /deltaX XLength nSym Div def + /deltaY YLength nSym Div def + XA Shift sub YA Shift sub moveto + nSym { + gsave rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if + Symbol show + grestore + deltaX deltaY rmoveto + } repeat +% XB Shift sub YB Shift sub moveto Symbol show + /YA YB def /XA XB def + } repeat + pop % delete the mark symbol +} def +% +/Diamond { + /mtrx CM def + T rotate + /h ED + /w ED + dup 0 eq { pop } { CLW mul neg + /d ED + /a w h Atan def + /h d a sin Div h add def + /w d a cos Div w add def } ifelse + mark w 2 div h 2 div w 0 0 h neg w neg 0 0 h w 2 div h 2 div + /ArrowA { moveto } def + /ArrowB { } def + false Line + closepath mtrx setmatrix } def +% +/Triangle { + /mtrx CM def + translate + rotate /h ED 2 div /w ED + dup CLW mul /d ED + /h h d w h Atan sin Div sub def + /w w d h w Atan 2 div dup cos exch sin Div mul sub def + mark + 0 d w neg d 0 h w d 0 d + /ArrowA { moveto } def + /ArrowB { } def + false + Line + closepath + mtrx +% DG/SR modification begin - Jun. 1, 1998 - Patch 3 (from Michael Vulis) +% setmatrix } def + setmatrix pop +} def +% DG/SR modification end +% +/CCA { + /y ED /x ED + 2 copy y sub /dy1 ED + x sub /dx1 ED + /l1 dx1 dy1 Pyth def +} def +% +/CC { + /l0 l1 def + /x1 x dx sub def + /y1 y dy sub def + /dx0 dx1 def + /dy0 dy1 def + CCA + /dx dx0 l1 c exp mul dx1 l0 c exp mul add def + /dy dy0 l1 c exp mul dy1 l0 c exp mul add def + /m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos abs b exp a mul dx dy Pyth Div 2 div def + /x2 x l0 dx mul m mul sub def + /y2 y l0 dy mul m mul sub def + /dx l1 dx mul m mul neg def + /dy l1 dy mul m mul neg def +} def +% +/IC { + /c c 1 add def + c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if } ifelse + /a a 2 mul 3 div 45 cos b exp div def + CCA + /dx 0 def + /dy 0 def +} def +% +/BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def +/NC { CC x1 y1 x2 y2 x y curveto } def +/EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def +/BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def +/NAC { x2 y2 x y curveto CC x1 y1 } def +/EAC { x2 y2 x y ArrowB curveto pop pop } def +% +/OpenCurve { + NArray n 3 lt + { n { pop pop } repeat } + { BOC /n n 3 sub def n { NC } repeat EOC } ifelse +} def +% +/CurvePath { + %% for negative SymStep we calculate the distance + SymStep 0 lt { gsave PathLength SymStep div abs /SymStep ED grestore } if + 0.5 setflat + flattenpath /z 0 def /z0 0 def + { /y1 ED /x1 ED /y2 y1 def /x2 x1 def + x1 Shift sub y1 Shift sub moveto + gsave + curveticks + { x1 y1 translate startAngle rotate + 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto + SymbolLinewidth setlinewidth stroke + } + { startAngle rotate Symbol show } + ifelse + grestore /z0 z def } + { /y ED /x ED PathLength@ z z0 sub SymStep ge { + x Shift sub y Shift sub moveto + gsave + curveticks + { y yOld sub x xOld sub Atan 180 sub CorrAngle sub /rotAngle ED + x y translate rotAngle rotate + 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto + SymbolLinewidth setlinewidth stroke + } + { + rotateSymbol { y yOld sub x xOld sub Atan 180 sub CorrAngle sub rotate } if + Symbol show + } + ifelse + grestore /z0 z def } if + /yOld y def /xOld x def } + {} %% the lineto part + { /y y2 def /x x2 def PathLength@ + x Shift sub y Shift sub moveto + gsave + curveticks + { y yOld sub x xOld sub Atan 180 sub /rotAngle ED + x y translate rotAngle rotate + 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto + SymbolLinewidth setlinewidth stroke + } + { + x Shift sub y Shift sub moveto + rotateSymbol { y yOld sub x xOld sub Atan 180 sub CorrAngle sub rotate } if + Symbol show + } + ifelse + grestore + } + pathforall +% curveticks +% { gsave +% x y translate rotAngle rotate +% 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto +% SymbolLinewidth setlinewidth stroke grestore +% } if + z +} def +% +/OpenSymbolCurve { + OpenCurve + 0.1 setflat + /Shift Symbol stringwidth pop 2 div def + CurvePath +} def +% +/AltCurve { + { false NArray n 2 mul 2 roll + [ n 2 mul 3 sub 1 roll ] aload + /Points ED + n 2 mul -2 roll } + { false NArray } ifelse + n 4 lt { n { pop pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse +} def +% +/AltOpenSymbolCurve { + AltCurve + 0.1 setflat + /Shift Symbol stringwidth pop 2 div def + CurvePath +} def +% +/ClosedCurve { + NArray n 3 lt + { n { pop pop } repeat } + { n 3 gt { CheckClosed } if + 6 copy n 2 mul 6 add 6 roll + IC CC x y moveto n { NC } repeat + closepath pop pop + } ifelse +} def +% +/ClosedSymbolCurve { + ClosedCurve + 0.1 setflat + /Shift Symbol stringwidth pop 2 div def + CurvePath +} def +% +/SQ { /r ED r r moveto r r neg L r neg r neg L r neg r L fill } def +/ST { /y ED /x ED x y moveto x neg y L 0 x L fill } def +/SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore } def +% +/FontDot { + DS 2 mul dup + matrix scale matrix concatmatrix exch matrix + rotate matrix concatmatrix exch + findfont exch makefont setfont +} def +% +/Rect { + x1 y1 y2 add 2 div moveto + x1 y2 lineto + x2 y2 lineto + x2 y1 lineto + x1 y1 lineto + closepath +} def +% +/OvalFrame { + x1 x2 eq y1 y2 eq or + { pop pop x1 y1 moveto x2 y2 L } + { y1 y2 sub abs x1 x2 sub abs 2 copy gt + { exch pop } { pop } ifelse + 2 div exch { dup 3 1 roll mul exch } if + 2 copy lt { pop } { exch pop } ifelse + /b ED + x1 y1 y2 add 2 div moveto + x1 y2 x2 y2 b arcto + x2 y2 x2 y1 b arcto + x2 y1 x1 y1 b arcto + x1 y1 x1 y2 b arcto + 16 { pop } repeat + closepath + } ifelse +} def +% +/Frame { + CLW mul /a ED + 3 -1 roll + 2 copy gt { exch } if + a sub /y2 ED + a add /y1 ED + 2 copy gt { exch } if + a sub /x2 ED + a add /x1 ED + 1 index 0 eq { pop pop Rect } { OvalFrame } ifelse +} def +% +/BezierNArray { + /f ED + counttomark 2 div dup cvi /n ED + n eq not { exch pop } if + n 1 sub neg 3 mod 3 add 3 mod { 0 0 /n n 1 add def } repeat + f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse +} def +% +/OpenBezier { + BezierNArray + n 1 eq + { pop pop } + { ArrowA n 4 sub 3 idiv + { 6 2 roll 4 2 roll curveto } repeat + 6 2 roll 4 2 roll ArrowB curveto } ifelse +} def +% +/OpenSymbolBezier { + OpenBezier + 0.1 setflat + /Shift Symbol stringwidth pop 2 div def + CurvePath +} def +% +/ClosedBezier { + BezierNArray + n 1 eq + { pop pop } + { moveto n 1 sub 3 idiv + { 6 2 roll 4 2 roll curveto } repeat + closepath } ifelse +} def +% +/ClosedSymbolBezier { + /f ED % save showpoints value + 2 copy /yEnd ED /xEnd ED + counttomark -2 roll 2 copy /yStart ED /xStart ED + counttomark 2 roll + f + ClosedBezier + 0.1 setflat + /Shift Symbol stringwidth pop 2 div def + CurvePath + [ xEnd yEnd xStart yStart SymbolLine +} def +% +/BezierShowPoints { + gsave + Points aload length 2 div cvi /n ED + moveto + n 1 sub { lineto } repeat + CLW 2 div SLW [ 4 4 ] 0 setdash stroke + grestore +} def +% +/Parab { + /y0 ED /x0 ED /y1 ED /x1 ED + /dx x0 x1 sub 3 div def + /dy y0 y1 sub 3 div def + x0 dx sub y0 dy add x1 y1 ArrowA + x0 dx add y0 dy add x0 2 mul x1 sub y1 ArrowB + curveto + /Points [ x1 y1 x0 y0 x0 2 mul x1 sub y1 ] def +} def +% +/Parab1 { % 1 end | 0 SP + /ySP ED /xSP ED /y1 ED /x1 ED + /dx xSP x1 sub 3 div def + /dy ySP y1 sub 3 div def + newpath x1 y1 moveto xSP y1 lineto xSP ySP lineto + x1 ySP lineto closepath clip + currentpoint + newpath moveto + xSP dx sub ySP dy add x1 y1 ArrowA + xSP dx add ySP dy add xSP 2 mul x1 sub y1 ArrowB + curveto + /Points [ x1 y1 xSP ySP xSP 2 mul x1 sub y1 ] def +} def +% +/Grid { + newpath + /a 4 string def + /b ED % psk@gridlabels in pt + /c ED % { \pst@usecolor\psgridlabelcolor } + /n ED % psk@griddots + cvi dup 1 lt { pop 1 } if + /s ED % \psk@subgriddiv + s div dup 0 eq { pop 1 } if + /dy ED s div dup 0 eq { pop 1 } if % \pst@number\psyunit abs + /dx ED dy div round dy mul % \pst@number\psxunit abs + /y0 ED dx div round dx mul + /x0 ED dy div round cvi + /y2 ED dx div round cvi + /x2 ED dy div round cvi + /y1 ED dx div round cvi + /x1 ED + /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def + /w x2 x1 sub 0 gt { 1 } { -1 } ifelse def + b 0 gt { + /z1 b 4 div CLW 2 div add def +% /Helvetica findfont b scalefont setfont + /b b .95 mul CLW 2 div add def } if + systemdict /setstrokeadjust known + { true setstrokeadjust /t { } def } + { /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add + exch itransform } bind def } ifelse + gsave n 0 gt { 1 setlinecap [ 0 dy n div ] dy n div 2 div setdash } { 2 setlinecap } ifelse + /i x1 def + /f y1 dy mul n 0 gt { dy n div 2 div h mul sub } if def + /g y2 dy mul n 0 gt { dy n div 2 div h mul add } if def + x2 x1 sub w mul 1 add dup 1000 gt { pop 1000 } if + { i dx mul dup y0 moveto + b 0 gt + { gsave c i a cvs dup stringwidth pop + /z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse + h 0 gt {b neg}{z1} ifelse + rmoveto show grestore } if + dup t f moveto + g t L stroke + /i i w add def + } repeat + grestore + gsave + n 0 gt + % DG/SR modification begin - Nov. 7, 1997 - Patch 1 + %{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash } + { 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash } + % DG/SR modification end + { 2 setlinecap } ifelse + /i y1 def + /f x1 dx mul n 0 gt { dx n div 2 div w mul sub } if def + /g x2 dx mul n 0 gt { dx n div 2 div w mul add } if def + y2 y1 sub h mul 1 add dup 1000 gt { pop 1000 } if + { newpath i dy mul dup x0 exch moveto + b 0 gt { gsave c i a cvs dup stringwidth pop + /z2 ED + w 0 gt {z1 z2 add neg} {z1} ifelse + h 0 gt {z1} {b neg} ifelse + rmoveto show grestore } if + dup f exch t moveto + g exch t L stroke + /i i h add def + } repeat + grestore +} def +% +/ArcArrow { + /d ED /b ED /a ED + gsave + newpath 0 -1000 moveto clip + newpath + 0 1 0 0 b + grestore + c mul + /e ED + pop pop pop r a e d PtoC y add exch x add + exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c + mul neg d +} def +% +/Ellipse { + /rotAngle ED + /mtrx CM def + T + rotAngle rotate + scale 0 0 1 5 3 roll arc + mtrx setmatrix +} def +% +/ArcAdjust { %%%% Vincent Guirardel +% given a target length (targetLength) and an initial angle (angle0) [in the stack], +% let M(angle0)=(rx*cos(angle0),ry*sin(angle0))=(x0,y0). +% This computes an angle t such that (x0,y0) is at distance +% targetLength from the point M(t)=(rx*cos(t),ry*sin(t)). +% NOTE: this an absolute angle, it does not have to be added or substracted to angle0 +% contrary to TvZ's code. +% To achieve, this, one iterates the following process: start with some angle t, +% compute the point M' at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]. +% Now take t' (= new angle) so that (0,0) M(t') and M' are aligned. +% +% Another difference with TvZ's code is that we need d (=add/sub) to be defined. +% the value of d = add/sub is used to know on which side we have to move. +% It is only used in the initialisation of the angle before the iteration. +% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Input stack: 1: target length 2: initial angle +% variables used : rx, ry, d (=add/sub) +% + /targetLength ED /angle0 ED + /x0 rx angle0 cos mul def + /y0 ry angle0 sin mul def +% we are looking for an angle t such that (x0,y0) is at distance targetLength +% from the point M(t)=(rx*cos(t),ry*sin(t))) +%initialisation of angle (using 1st order approx = TvZ's code) + targetLength 57.2958 mul + angle0 sin rx mul dup mul + angle0 cos ry mul dup mul + add sqrt div +% if initialisation angle is two large (more than 90 degrees) set it to 90 degrees +% (if the ellipse is very curved at the point where we draw the arrow, % +% the value can be much more than 360 degrees !) +% this should avoid going on the wrong side (more than 180 degrees) or go near +% a bad attractive point (at 180 degrees) + dup 90 ge { pop 90 } if + angle0 exch d % add or sub +% maximum number of times to iterate the iterative procedure: +% iterative procedure: takes an angle t on top of stack, computes a +% better angle (and put it on top of stack) + 30 { dup +% compute distance D between (x0,y0) and M(t) + dup cos rx mul x0 sub dup mul exch sin ry mul y0 sub dup mul add sqrt +% if D almost equals targetLength, we stop + dup targetLength sub abs 1e-5 le { pop exit } if +% stack now contains D t +% compute the point M(t') at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]: +% M(t')= ( (x(t)-x0)*targetLength/d+x0 , (y(t)-y0)*targetLength/d+y0 ) + exch dup cos rx mul x0 sub exch sin ry mul y0 sub +% stack contains: y(t)-y0, x(t)-x0, d + 2 index Div targetLength mul y0 add ry Div exch + 2 index Div targetLength mul x0 add rx Div +% stack contains x(t')/rx , y(t')/ry , d +% now compute t', and remove D from stack + atan exch pop + } repeat +% we don't look at what happened... in particular, if targetLength is greater +% than the diameter of the ellipse... +% the final angle will be around /angle0 + 180. maybe we should treat this pathological case... +% after iteration, stack contains an angle t such that M(t) is the tail of the arrow +% to give back the result as a an angle relative to angle0 we could add the following line: +% angle0 sub 0 exch d +% +% begin bug fix 2006-01-11 +% we want to adjust the new angle t' by a multiple of 360 so that | t'-angle0 | <= 180 +%(we don't want to make the ellipse turn more or less than it should)... +dup angle0 sub dup abs 180 gt { 180 add 360 div floor 360 mul sub } { pop } ifelse +% end bug fix +} def +% +/EllipticArcArrow { + /d ED % is add or sub + /b ED % arrow procedure + /a1 ED % angle + gsave + newpath + 0 -1000 moveto + clip % Set clippath far from arrow. + newpath + 0 1 0 0 b % Draw arrow to determine length. + grestore +% Length of arrow is on top of stack. Next 3 numbers are junk. +% + a1 exch ArcAdjust % Angular position of base of arrow. + /a2 ED + pop pop pop + a2 cos rx mul xOrig add % hv 2007-08-29 x->xOrig + a2 sin ry mul yOrig add % hv 2007-08-29 y->yOrig + a1 cos rx mul xOrig add % + a1 sin ry mul yOrig add % +% Now arrow tip coor and base coor are on stack. + b pop pop pop pop % Draw arrow, and discard coordinates. + a2 CLW 8 div +% change value of d (test it by looking if `` 1 1 d '' gives 2 or not ) + 1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse + ArcAdjust +% resets original value of d + 1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse % Adjust angle to give overlap. +} def +%%------------------ tvz/DG/hv (2004-05-10) end -------------------%% +% +/Rot { CP CP translate 3 -1 roll neg rotate NET } def +% +/RotBegin { + tx@Dict /TMatrix known not { /TMatrix { } def /RAngle { 0 } def } if + /TMatrix [ TMatrix CM ] cvx def + /a ED + a Rot /RAngle [ RAngle dup a add ] cvx def +} def +% +/RotEnd { + /TMatrix [ TMatrix setmatrix ] cvx def + /RAngle [ RAngle pop ] cvx def +} def +% +/PutCoor { gsave CP T CM STV exch exec moveto setmatrix CP grestore } def +/PutBegin { /TMatrix [ TMatrix CM ] cvx def CP 4 2 roll T moveto } def +/PutEnd { CP /TMatrix [ TMatrix setmatrix ] cvx def moveto } def +% +/Uput { + /a ED + add 2 div /h ED 2 + div /w ED + /s a sin def + /c a cos def + /b s abs c abs 2 copy gt dup + /q ED + { pop } { exch pop } ifelse def + /w1 c b div w mul def + /h1 s b div h mul def + q { w1 abs w sub dup c mul abs }{ h1 abs h sub dup s mul abs } ifelse +} def +% +/UUput { + /z ED + abs /y ED + /x ED + q { x s div c mul abs y gt }{ x c div s mul abs y gt } ifelse + { x x mul y y mul sub z z mul add sqrt z add } + { q { x s div } { x c div } ifelse abs + } ifelse + a PtoC + h1 add exch + w1 add exch +} def +% +/BeginOL { + dup (all) eq exch TheOL eq or + { IfVisible not { Visible /IfVisible true def } if } + { IfVisible { Invisible /IfVisible false def } if } ifelse +} def +% +/InitOL { + /OLUnit [ 3000 3000 matrix defaultmatrix dtransform ] cvx def + /Visible { CP OLUnit idtransform T moveto } def + /Invisible { CP OLUnit neg exch neg exch idtransform T moveto } def + /BOL { BeginOL } def + /IfVisible true def +} def +% +%%%%%%%%%%%%%%%%% tools %%%%%%%%%%%%%%%%%%%%%%%%% +%%%%% ### bubblesort ### +%% syntax : array bubblesort --> array2 trie par ordre croissant +%% code de Bill Casselman +%% http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/ +/bubblesort { +4 dict begin + /a exch def + /n a length 1 sub def + n 0 gt { + % at this point only the n+1 items in the bottom of a remain to + % the sorted largest item in that blocks is to be moved up into + % position n + n { + 0 1 n 1 sub { + /i exch def + a i get a i 1 add get gt { + % if a[i] > a[i+1] swap a[i] and a[i+1] + a i 1 add + a i get + a i a i 1 add get + % set new a[i] = old a[i+1] + put + % set new a[i+1] = old a[i] + put + } if + } for + /n n 1 sub def + } repeat + } if + a +end +} def +% +% +/concatstringarray{ % [(a) (b) ... (z)] --> (ab...z) 20100422 + 0 1 index { length add } forall + string + 0 3 2 roll + { 3 copy putinterval length add }forall + pop +} bind def +% +/dot2comma {% on stack a string (...) + 2 dict begin + /Output exch def + 0 1 Output length 1 sub { + /Index exch def + Output Index get 46 eq { Output Index 44 put } if + } for + Output + end +} def +% +end +%-----------------------------------------------------------------------------% +% +% END pstricks.pro + +%%EndProcSet +%%BeginProcSet: pst-algparser.pro 0 0 +% $Id: pst-algparser.pro 594 2011-10-31 18:13:18Z herbert $ +%% +%% PostScript prologue for PSTricks algorithm parser +%% Version 0.04, 2011/10/21 +%% +%% This program can be redistributed and/or modified under the terms +%% of the LaTeX Project Public License Distributed from CTAN archives +%% in directory macros/latex/base/lppl.txt. +%% +%%-----------------------------------------------------------------------------% +% +/AlgParser { tx@AlgToPs begin AlgToPs end } def % Dominique Rodriguez +% +/tx@CoreAnalyzerDict 100 dict def tx@CoreAnalyzerDict begin +% +% PS ANALYZER FOR ALGEBRAIC EXPRESSION V1.13 +% +% 09/2011 DR factorial with ! added +% +% E->T|E+T +% T->FS|T*FS +% FS -> F | +FS | -FS +% F->P|F^SF|P! +% P->(E)|literal +% literal->number|var|var[E]|func(params) +% params->E|E,param +% number->TOBEFINISHED +% +%% E expression, T term, SF signed factor, F factor, P power +% +%% parser +% +%% str +% +%% C->E<condition_operators>E +%% STR index -> STR index+lenExpr +/AnalyzeCond { AnalyzeExpr ReadCondOp AnalyzeExpr EvalCondOp } def +% +%% analyze Expression List (separator , or | ) +%% STR index -> STR index+lenExpr +%% /AnalyzeListOfE { +%% { NextNonBlankChar pop AnalyzeExpr%%dup Strlen eq { exit } if NextNonBlankChar +%% NextNonBlankChar dup 0 eq { pop exit } if +%% dup 44 ne 1 index 124 ne and { dup 41 ne { PROBLEMCONTACTBILLOU } { pop exit } ifelse } if +%% pop NextNonBlankChar dup 0 eq { exit } if 124 ne { PROBLEMCONTACTBILLOU } if 1 add NextNonBlankChar 0 eq {toto} if } loop +%% AnalyzeListOfEPostHook +%% } def +/AnalyzeListOfE { + /NotFirst false def + { NextNonBlankChar pop AnalyzeExpr + NotFirst { EvalListOfExpr } { /NotFirst true def } ifelse + dup Strlen eq { exit } if NextNonBlankChar + dup 44 ne 1 index 124 ne and + { dup 41 ne { PROBLEMCONTACTBILLOU } { pop exit } ifelse } + if pop 1 add } loop + AnalyzeListOfEPostHook +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% E->T|E+T +%% STR index -> STR index+lenExpr +/AnalyzeExpr { + AnalyzePreHook AnalyzeTerm IsEndingExpr + { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } + { { RollOp 1 add NextNonBlankChar pop AnalyzeTerm PreEvalHook EvalAddSub IsEndingExpr { pop exit } if } loop } + ifelse + AnalyzePostHook +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% T->FS|T*FS +%% STR index +/AnalyzeTerm { + AnalyzePreHook AnalyzeSignedFactor IsEndingTerm + { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } + { { RollOp 1 add NextNonBlankChar pop AnalyzeSignedFactor PreEvalHook EvalMulDiv IsEndingTerm { pop exit } if} loop } + ifelse + AnalyzePostHook +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% FS -> F | +FS | -FS +%% STR index +/AnalyzeSignedFactor { + AnalyzePreHook 2 copy get dup IsUnaryOp + { RollOp 1 add NextNonBlankChar pop AnalyzeSignedFactor EvalUnaryOp } + { pop AnalyzeFactor } + ifelse AnalyzePostHook +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% F->P|F^P|P! +%% STR index +/AnalyzeFactor { + AnalyzePreHook AnalyzePower IsEndingFactor + { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } + { { dup 33 eq%% is there a ! DR 09/2011 + { pop 1 add NextNonBlankChar pop EvalFactorial } + { RollOp 1 add NextNonBlankChar pop AnalyzePower PreEvalHook EvalPower } + ifelse + IsEndingFactor { pop exit } if } loop } + ifelse AnalyzePostHook +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% P->(E)|literal +%% STR index +/AnalyzePower { + %% depending of first char either a number, or a literal + 2 copy get dup 40 eq%%an open par + { pop 1 add NextNonBlankChar pop AnalyzeExpr 1 add NextNonBlankChar pop } + { AnalyzeLiteral } + ifelse +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% STR index STR[index] -> STR index +%/AnalyzeLiteral { IsNumber { EvalNumber } { EvalLiteral } ifelse } def +/AnalyzeLiteral { dup IsUnaryOp exch IsNumber or { EvalNumber } { EvalLiteral } ifelse } def%%dr 09102006 +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% recognize + or - +%% chr -> T/F +/IsUnaryOp { dup 43 eq exch 45 eq or } bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% a number can contain only : 0123456789. +%% chr -> T/F +/IsNumber { dup 48 ge exch dup 57 le 3 -1 roll and exch 46 eq or } bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% STR index -> STR index number +%% a number can be of the form [0-9]*.[0-9]*\([eE][+-]?[0-9]+\)? +%% STR index -> STR index' number +/ReadNumber { + exch dup 3 -1 roll dup 3 1 roll + %%read mantissa + { 1 add 2 copy dup Strlen eq { pop pop 0 exit } if get dup IsNumber not { exit } if pop } loop + dup 101 eq exch 69 eq or + %%% there is a "e" or "E" -> read exponant + { 1 add 2 copy get dup IsUnaryOp + { pop 1 add 2 copy get } if + { IsNumber not { exit } if 1 add 2 copy get } loop } + if + dup 4 1 roll + 3 -1 roll exch 1 index sub getinterval +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% a number can contain only : 0123456789. +%% chr -> T/F +/IsCondOp { dup 30 eq exch dup 60 ge exch 62 le and or } bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% STR index -> STR index number +%% a number can be of the form [0-9]*.[0-9]*\([eE][+-]?[0-9]+\)? +%% STR index -> STR index' number +/ReadCondOp { + NextNonBlankChar 1 index 4 1 roll + { IsCondOp not { exit } if 1 add 2 copy get } loop + 2 copy 5 -1 roll + exch 1 index sub getinterval 3 1 roll +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% a literal can contain only : 0123456789. +%% chr -> T/F +/IsLiteral {% + dup 48 ge exch dup 57 le 3 -1 roll and exch + dup 65 ge exch dup 90 le 3 -1 roll and 3 -1 roll or exch + dup 97 ge exch 122 le and or } bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% a literal can be of the form [a-zA-Z][a-zA-Z0-9]*\(\((Expression)\)|\(\[Expression\]\)\)? +%% STR index -> literal STR index' nextchr +/ReadLiteral { + exch dup 3 -1 roll dup 3 1 roll + %%read literal core + { 2 copy dup Strlen eq { pop pop 0 exit } if get dup IsLiteral not { exit } if pop 1 add } loop + 4 1 roll dup 5 1 roll 3 -1 roll exch 1 index sub getinterval 4 1 roll +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% expr is ended by end of str or a clpar +%% STR index -> STR index STR[index] T/F +/IsEndingExpr {% + 2 copy dup Strlen eq + %% if end of str is reached -> end ! + { pop pop 0 true } + %% ending chr -> clpar, comma, |, <, >, =, !, + {get dup dup 41 eq + exch dup 124 eq + exch dup 93 eq + exch dup 44 eq + exch dup 30 eq + exch dup 60 ge exch 62 le and or or or or or} + ifelse } def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% expr is ended by end of str or a +- +%% STR index -> STR index STR[index] T/F +/IsEndingTerm { IsEndingExpr { true } { dup dup 43 eq exch 45 eq or } ifelse } def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% expr is ended by end of str or */ +%% STR index -> STR index STR[index] T/F +/IsEndingFactor { IsEndingTerm { true } { dup dup 42 eq exch 47 eq or } ifelse } def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% expr is ended by end of str or ^ +%% STR index -> STR index STR[index] T/F +/IsEndingPower { IsEndingFactor { true } { dup 94 eq } ifelse } def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% STR index -> STR index STR[index] +/NextNonBlankChar { { dup Strlen eq { 0 exit } if 2 copy get dup neBlkChar { exit } if pop 1 add } loop } bind def +/neBlkChar { dup 32 ne exch dup 10 ne exch 9 ne and and } bind def +%%%%%%%%%%%%%%%%%%%%%%%% +%% DEBUG +/BRK {false} def +/BRKtrue {/BRK true def} def +/BRKStop {BRK {BRKtoto} if } def +/BRKEvalStop {BRK exch if } def +/BRKBRK2true {BRK {BRK2true} if } def +/BRK2 {false} def +/BRK2true {/BRK2 true def} def +/BRK2Stop {BRK2 {BRK2toto} if } def/BRK {false} def +end +% +%-------------------------------------------------------------------------------% +% +/tx@AlgToPs 12 dict def tx@AlgToPs begin +% +%% algExpr -> PSVector +/AlgToPs { tx@CoreAnalyzerDict begin InitParser AnalyzeListOfE pop pop EndingSequence end } def +/EndingSequence { ExpressionVector aload length /end cvx exch 1 add array astore } def +/InitParser { /ExpressionVector [ /tx@AddMathFunc cvx /begin cvx ] def dup length /Strlen exch def 0 } def +/Strlen 0 def +/EvalListOfExpr {} def% +/EvalNumber {% + ReadNumber cvr /ExpressionVector ExpressionVector aload length dup 3 add -1 roll cvx + exch 1 add array astore def NextNonBlankChar pop } def +/EvalAddSub {% + /ExpressionVector ExpressionVector aload length dup 5 add -1 roll + 43 eq { /add } { /sub } ifelse cvx exch 1 add array astore def +} def +/EvalMulDiv {% + /ExpressionVector ExpressionVector aload length dup 5 add -1 roll + 42 eq { /mul } { /div } ifelse cvx exch 1 add array astore def +} def +/EvalPower {% + /ExpressionVector ExpressionVector aload length dup 5 add -1 roll + pop /exp cvx exch 1 add array astore def +} def +/EvalFactorial {% DR 09/2011 + /ExpressionVector ExpressionVector aload length + /fact cvx exch 1 add array astore def +} def +/EvalLiteral {% + ReadLiteral + dup 40 eq%%% there is an open par -> function call + { pop 2 index + dup (Sum) eq { EvalSum } + { dup (IfTE) eq { EvalCond } + { dup (Derive) eq { pop EvalDerive } + { pop 1 add NextNonBlankChar pop AnalyzeListOfE 2 index TrigoFunc + /ExpressionVector ExpressionVector aload length dup 5 add -1 roll cvn cvx + exch 1 add array astore def 1 add NextNonBlankChar pop } ifelse } ifelse} ifelse } + { /ExpressionVector ExpressionVector aload length dup 6 add -1 roll cvn cvx exch 1 add array astore def + dup 91 eq%%% there is an open bracket -> vector element + { pop 1 add NextNonBlankChar pop AnalyzeExpr + /ExpressionVector ExpressionVector aload length /cvi cvx exch /get cvx exch 2 add array astore def 1 add } + { pop NextNonBlankChar pop } + ifelse} + ifelse +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% the derive function : Derive(n,f(x)) +%% firstparindex lastparindex -> +/EvalDerive { + %% manage the function descripiton + 1 add ReadNumber 3 1 roll NextNonBlankChar + 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if + 1 add NextNonBlankChar pop + 3 -1 roll cvi + dup 0 eq + { pop AnalyzeExpr 3 -1 roll pop 1 add } + { 1 sub 3 1 roll (x) exch tx@Derive begin DeriveIndexed end 4 -1 roll + { (x) tx@Derive begin Derive end } repeat + ExpressionVector exch /ExpressionVector [] def + AlgToPs aload length + /ExpressionVector 1 index 3 add -1 roll aload length dup 3 add -1 roll /l2 exch def /l1 exch def + l1 l2 add 1 add l2 neg roll l1 l2 add array astore def 3 -1 roll pop 1 add + 1 index length /Strlen exch def } ifelse +} def +/EvalSum {% + pop 1 add NextNonBlankChar pop + %% read the variable name + ReadLiteral pop NextNonBlankChar + 44 ne { ANALYZER_ERROR_missing_first_comma_in_Sum } if + %% read the initial value + 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll + 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if + %% read the increment value + 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll + 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if + %% read the limit value + 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll + 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if + /ExpressionVector ExpressionVector aload length dup 7 add -3 roll 0 4 1 roll + 5 -1 roll 4 add array astore def + %% keep ExpressionVector for later and create a new one for internal Sum computation + ExpressionVector 3 1 roll /ExpressionVector [ 6 -1 roll cvn /exch cvx /def cvx ] def + 1 add NextNonBlankChar pop AnalyzeExpr + %% add each term + /ExpressionVector ExpressionVector aload length 1 add /add cvx exch array astore def + /ExpressionVector 4 -1 roll aload length ExpressionVector cvx /for cvx 3 -1 roll 2 add + array astore def 3 -1 roll pop 1 add +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Convert to radians if trigo function call +%% (name) -> +/TrigoFunc { + dup (cos) eq 1 index (sin) eq or exch (tan) eq or + { /ExpressionVector ExpressionVector aload length Pi /div cvx 180 /mul cvx 5 -1 roll 4 add + array astore def + } if +} def +/EvalCond {% + pop 1 add AnalyzeCond NextNonBlankChar + 44 ne { ANALYZER_ERROR_missing_first_comma_in_IfTE } if + ExpressionVector 3 1 roll /ExpressionVector [] def + 1 add AnalyzeExpr ExpressionVector 3 1 roll /ExpressionVector [] def + NextNonBlankChar 44 ne { ANALYZER_ERROR_missing_second_comma_in_IfTE } if + 1 add AnalyzeExpr + NextNonBlankChar 41 ne { ANALYZER_ERROR_missing_ending parenthesis_in_IfTE } if + ExpressionVector + /ExpressionVector 6 -1 roll aload length dup + 6 add -1 roll cvx exch dup 4 add -1 roll cvx /ifelse cvx 3 -1 roll 3 add array astore def + 1 add 3 -1 roll pop +} def +%% CondOp STR index +/EvalCondOp {% + 3 -1 roll + dup (=) eq { /eq } {% + dup (<) eq { /lt } {% + dup (>) eq { /gt } {% + dup (>=) eq { /ge } {% + dup (<=) eq { /ge } {% + dup (!=) eq { /ne } { ERROR_non_valid_conditional_operator } + ifelse } ifelse } ifelse } ifelse } ifelse } ifelse + cvx exch pop + /ExpressionVector ExpressionVector aload length dup 3 add -1 roll exch 1 add array astore def } def +/EvalUnaryOp { + 3 -1 roll 45 eq { /ExpressionVector ExpressionVector aload length /neg cvx exch 1 add array astore def } if +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% H O O K S +/AnalyzePreHook {} bind def +/PreEvalHook {} bind def +/AnalyzeListOfEPostHook {} bind def +/AnalyzePostHook {} def +/RollOp { 3 1 roll } bind def +end %tx@CoreAnalyzerDict +% +%--------------------------------------------------------------------% +% +/tx@Derive 41 dict def tx@Derive begin +%%increase ^^ for each function added +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% algExpr variable -> PSVector +/Derive {% + 10240 string 3 1 roll 0 3 1 roll + /Variable exch def + tx@CoreAnalyzerDict begin InitParser AnalyzeListOfE end +} def +/Strlen 0 def +/InitParser { dup length /Strlen exch def 0 } def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% algExpr variable index -> PSVector +/DeriveIndexed {% + 3 1 roll 10240 string 3 1 roll 0 3 1 roll + /Variable exch def + tx@CoreAnalyzerDict begin InitParser pop 4 -1 roll AnalyzeExpr 4 -2 roll pop pop 4 -2 roll exch pop end +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% (u,v)'=-(u',v') +/EvalListOfExpr {% + 4 2 roll 2 copy 9 -1 roll dup length 4 1 roll putinterval add AddPipe + 2 copy 7 -1 roll dup length 4 1 roll putinterval add + 6 -2 roll pop pop + 2 copy pop 0 6 2 roll GetIntervalNewStr 5 1 roll 2 copy 0 exch getinterval 6 1 roll } def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% (-u)'=-(u') +/EvalUnaryOp { + 4 -2 roll 4 index (0) eq + { (0) StrConcat 7 -1 roll pop } + { 7 -1 roll 45 eq + { AddSub AddOpPar true } { false } ifelse + 3 1 roll 5 index StrConcat 3 -1 roll { AddClPar } if } ifelse + 2 copy pop 0 6 2 roll GetIntervalNewStr + 7 -2 roll pop pop 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% (number)'=0 +/EvalNumber { ReadNumber (0) 6 2 roll } def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% (u+v)'=u'+v' +/EvalAddSub {% + 7 index dup (0) eq + { pop true }%% du=0 nothing added + { dup length exch 5 index 5 index 3 -1 roll putinterval 4 -1 roll add 3 1 roll false } + ifelse + 5 index dup (0) eq + { pop { (0) } { 4 -2 roll 2 copy pop 0 6 2 roll GetIntervalNewStr } ifelse }%%dv=0 + { exch + { 5 -2 roll 7 index 45 eq { AddSub } if false } %%nothing yet added + { 5 -2 roll 7 index 43 eq%%something yet added + { AddAdd false } { AddSub AddOpPar true } ifelse } + ifelse 11 1 roll + 3 -1 roll StrConcat 10 -1 roll { AddClPar } if + 2 copy pop 0 6 2 roll GetIntervalNewStr } + ifelse + mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% (u*v)' or (u/v)' +/EvalMulDiv { 6 index 42 eq {EvalMul} {EvalDiv} ifelse } def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% (u*v)'=u'*v+u*v' +/EvalMul {% + 4 -2 roll 7 index dup (0) eq + { pop false }%%du=0 + { (1) eq%%du=1 + { false } + { AddOpPar 7 index StrConcat AddClPar AddMul AddOpPar true } ifelse + 3 1 roll 6 index StrConcat 3 -1 roll { AddClPar } if + true }%%du!=0 + ifelse + 5 1 roll 5 index (0) eq + { 5 -1 roll not { (0) StrConcat } if }%%dv=0 + { 5 -1 roll { AddAdd } if + 4 index (1) eq + { 8 index StrConcat } + { AddOpPar 8 index StrConcat AddClPar AddMul AddOpPar 4 index StrConcat AddClPar } + ifelse + }%%dv!=0 + ifelse + 2 copy pop 0 6 2 roll GetIntervalNewStr + mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% (u/v)'=(u'*v-u*v')/v^2 +/EvalDiv {% + 4 -2 roll + 4 index (0) eq%%dv=0 -> u'/v + { 7 index (0) eq { (0) StrConcat } { AddOpPar 7 index StrConcat AddClPar AddDiv 5 index StrConcat } ifelse } + { 7 index dup (0) eq + { pop }%%du=0 + { (1) eq%%du=1 + { false } + { AddOpPar 7 index StrConcat AddClPar AddMul AddOpPar true } ifelse + 3 1 roll 6 index StrConcat 3 -1 roll { AddClPar } if}%%du!=0 + ifelse + AddSub + 4 index (1) eq + { 8 index StrConcat } + { AddOpPar 8 index StrConcat AddClPar AddMul AddOpPar 4 index StrConcat AddClPar } + ifelse + %}%%dv!=0 + 2 copy GetIntervalNewStr 3 1 roll pop 0 AddOpPar 3 -1 roll StrConcat AddClPar + AddDiv AddOpPar 5 index StrConcat AddClPar 2 copy (^2) putinterval 2 add } + ifelse + 2 copy pop 0 6 2 roll GetIntervalNewStr + mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% str1 index str2 -> str1 index +/StrConcat { dup length 4 2 roll 2 copy 6 -1 roll putinterval 3 -1 roll add } bind def +/GetIntervalNewStr { 0 exch getinterval dup length string copy } bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% (u^v)'=(u^v)'=u'vu^(v-1)+v'u^(v)ln(u) +/EvalPower {% + 4 -2 roll 7 index (0) eq + {%%if du=0 then (u^v)'=v'ln(u)u^v + 4 index (0) eq + { (0) StrConcat }%%if dv=0 then (u^v)'=0 + { 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if + 8 index (e) ne { (ln\() StrConcat 8 index StrConcat (\)*) StrConcat } if + AddOpPar 8 index StrConcat (\)^\() StrConcat 5 index StrConcat AddClPar } ifelse + } + {%%du!=0 + 4 index (0) eq + {%%if dv=0 then (u^v)'=vu'u^(v-1) + 5 index dup IsStrNumber + { dup (0) eq + { StrConcat } + { dup dup (1) eq exch (1.0) eq or + { StrConcat } + { StrConcat + 7 index dup (1) ne exch (1.0) ne and%%%dr 09102006 insert du if <> 1 + { (*\() StrConcat 7 index StrConcat (\)) StrConcat } if%%%dr 09102006 + (*\() StrConcat 8 index StrConcat (\)) StrConcat + 5 index dup dup (2) eq exch (2.0) eq or + { pop } { cvr 1 sub 20 string cvs 3 1 roll (^) StrConcat 3 -1 roll StrConcat } ifelse } ifelse } ifelse } + { pop AddOpPar 5 index StrConcat (\)*\() StrConcat 8 index StrConcat (\)^\() StrConcat + 5 index StrConcat (-1\)) StrConcat } ifelse + } + {%%if dv!=0 and du!=0 then (u^v)'=u'vu^(v-1)+v'u^(v)ln(u) + 7 index (1) ne { AddOpPar 7 index StrConcat (\)*) StrConcat } if + AddOpPar 5 index StrConcat (\)*\() StrConcat + 8 index StrConcat (\)^\() StrConcat + 5 index StrConcat (-1\)+\() StrConcat + 4 index (1) ne { 4 index StrConcat (\)*\() StrConcat } if + 8 index StrConcat (\)^\() StrConcat + 5 index StrConcat (\)*ln\() StrConcat + 8 index StrConcat AddClPar + } ifelse + } ifelse + 2 copy pop 0 6 2 roll GetIntervalNewStr + mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% No derivative for factorial ! only cst => null derivative +/EvalFactorial {% DR 09/2011 + 4 index (0) eq + { (0) mark 8 -2 roll cleartomark 2 index 7 index dup 4 index exch sub getinterval exch 6 2 roll } + { DERIVATIVE_ENGINE_ERROR_no_variable_in_factorial } ifelse +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% str -> true/false +/IsStrNumber {% + true exch + { dup 48 lt exch dup 57 gt 3 -1 roll or + exch dup 46 ne%%. + exch dup 43 ne%%+ + exch 45 ne%%- + and and and { pop false } if } forall +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% literal switch -> func call, vector, variables +/EvalLiteral {% + ReadLiteral dup 40 eq%%% there is an open par -> function call + { pop (EvalFunc_ ) 9 4 index StrConcat 0 exch getinterval cvn cvx exec } + { dup 91 eq%%% there is an open bracket -> vector element + { DERIVATIVE_ENGINE_ERROR_vector_not_yet_implemented } + { pop EvalVariable } + ifelse } + ifelse +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% first last parpos Expr[first:parpos-1] -> +/EvalVariable { 2 index Variable eq { (1) } { (0) } ifelse 4 -1 roll exch 6 2 roll } def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% (f(u))'=u'f'(u) +/EvalFunc { + 4 2 roll 4 index (1) ne + { AddOpPar 4 index StrConcat (\)*) StrConcat } if + (Eval ) 4 8 index StrConcat 0 exch getinterval cvn cvx exec + 2 copy pop 0 6 2 roll GetIntervalNewStr + mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Func derivative -> Eval<func> +/EvalFunc_sin {% + PreCommonFunc + { (cos\() StrConcat 5 index StrConcat AddClPar } if + PostCommonFunc } def +/EvalFunc_cos {% + PreCommonFunc + { (\(-sin\() StrConcat 5 index StrConcat (\)\)) StrConcat } if + PostCommonFunc } def +/EvalFunc_tan {% + PreCommonFunc + { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/cos\() StrConcat 5 index StrConcat (\)^2) StrConcat } if + PostCommonFunc } def +/EvalFunc_asin {% + PreCommonFunc + { (1/sqrt\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if + PostCommonFunc } def +/EvalFunc_acos {% + PreCommonFunc + { (-1/sqrt\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if + PostCommonFunc } def +/EvalFunc_atg {% + PreCommonFunc + { (1/\(1+\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if + PostCommonFunc } def +/EvalFunc_ln {% + PreCommonFunc + { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\() StrConcat 5 index StrConcat AddClPar } if + PostCommonFunc } def +/EvalFunc_exp {% + PreCommonFunc + { (exp\() StrConcat 5 index StrConcat AddClPar } if + PostCommonFunc } def +/EvalFunc_EXP {% + PreCommonFunc + { (EXP\() StrConcat 5 index StrConcat AddClPar } if + PostCommonFunc } def +/EvalFunc_sqrt {% + PreCommonFunc + { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\(2*sqrt\() StrConcat 5 index StrConcat (\)\)) StrConcat } if + PostCommonFunc } def +/EvalFunc_Fact {% + PreCommonFunc { DERIVATIVE_ENGINE_ERROR_no_variable_expression_in_Fact } if + PostCommonFunc } def +/EvalFunc_sh {% + PreCommonFunc + { (ch\() StrConcat 5 index StrConcat AddClPar } if + PostCommonFunc } def +/EvalFunc_ch {% + PreCommonFunc + { (sh\() StrConcat 5 index StrConcat AddClPar } if + PostCommonFunc } def +/EvalFunc_th {% + PreCommonFunc + { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/ch\() StrConcat 5 index StrConcat (\)^2) StrConcat } if + PostCommonFunc } def +/EvalFunc_Argsh {% + PreCommonFunc + { (1/sqrt\(1+\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if + PostCommonFunc } def +/EvalFunc_Argch {% + PreCommonFunc + { (1/sqrt\(\() StrConcat 5 index StrConcat (\)^2-1\)\)) StrConcat } if + PostCommonFunc } def +/EvalFunc_Argth {% + PreCommonFunc + { (1/\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if + PostCommonFunc } def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +/PreCommonFunc { + 1 add NextNonBlankChar pop 3 -1 roll 5 1 roll AnalyzeExpr 1 add NextNonBlankChar pop + 4 2 roll 4 index (0) eq + { (0) StrConcat false } + { 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if true } ifelse +} def +/PostCommonFunc { + 2 copy pop 0 6 2 roll GetIntervalNewStr + mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll +} def +/EvalFunc_Derive {% + 1 add ReadNumber cvi 1 add dup cvr log 1 add cvi string cvs + 4 -1 roll pop 5 1 roll 1 add NextNonBlankChar pop AnalyzeExpr 1 add + 4 -2 roll (Derive\() StrConcat 7 -1 roll StrConcat (,) StrConcat 6 -1 roll StrConcat AddClPar + 2 copy pop 0 6 2 roll GetIntervalNewStr 6 -1 roll pop 2 index 6 index dup 4 index exch sub getinterval + exch 6 2 roll } def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% literal switch -> func call, vector, variables +/EvalFunc_Sum {% + 1 add NextNonBlankChar pop + %% read the variable name + ReadLiteral pop 3 -1 roll pop NextNonBlankChar + 44 ne { ANALYZER_ERROR_missing_first_comma_in_Sum } if + %% read the initial value + 1 add NextNonBlankChar pop ReadNumber pop + 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if + %% read the increment value + 1 add NextNonBlankChar pop ReadNumber pop + 2 copy get 44 ne { ANALYZER_ERROR_missing_third_comma_in_Sum } if + %% read the limit value + 1 add NextNonBlankChar pop ReadNumber pop + 2 copy get 44 ne { ANALYZER_ERROR_missing_fourth_comma_in_Sum } if + 1 add NextNonBlankChar pop dup 6 1 roll 3 -1 roll pop AnalyzeExpr 1 add NextNonBlankChar pop + 4 -2 roll 3 index 8 index dup 9 index exch sub getinterval StrConcat + 4 index StrConcat AddClPar + 2 copy pop 0 6 2 roll GetIntervalNewStr + mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% literal switch -> func call, vector, variables +/EvalFunc_IfTE {% + 3 -1 roll pop 1 add NextNonBlankChar pop SkipCond + NextNonBlankChar + 44 ne { ANALYZER_ERROR_missing_first_comma_in_IfTE } if + 1 add NextNonBlankChar pop dup 5 1 roll + AnalyzeExpr NextNonBlankChar + 44 ne { ANALYZER_ERROR_missing_second_comma_in_IfTE } if + 1 add NextNonBlankChar pop + AnalyzeExpr 1 add NextNonBlankChar pop + 4 -2 roll 3 index 10 index dup 11 index exch sub getinterval StrConcat + 6 index StrConcat (,) StrConcat 4 index StrConcat AddClPar + 2 copy pop 0 6 2 roll GetIntervalNewStr + mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% advance in str until a comma is found (no error detection!) +%% str index -> str index' +/SkipCond { { 1 add 2 copy get 44 eq {exit } if } loop } bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Convert to radians if trigo function call +%% (name) -> +/TrigoFunc { + dup (cos) eq 1 index (sin) eq or exch (tan) eq or + { /ExpressionVector ExpressionVector aload length Pi /div cvx 180 /mul cvx 5 -1 roll 4 add + array astore def + } if +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% No derivative for condition.... +/EvalCondOp { 3 -1 roll pop } bind def +/PutIntervalOneAdd {putinterval 1 add} bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Add open parenthesis in string at the given index +%% str index -> str index+1 +/AddOpPar {2 copy (\() PutIntervalOneAdd} bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Add close parenthesis in string at the given index +%% str index -> str index+1 +/AddClPar {2 copy (\)) PutIntervalOneAdd} bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Add 0 in string at the given index +%% str index -> str index+1 +/AddZero {2 copy (0) PutIntervalOneAdd} bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Add open parenthesis in string at the given index +%% str index -> str index+1 +/AddMul {2 copy (*) PutIntervalOneAdd} bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Add open parenthesis in string at the given index +%% str index -> str index+1 +/AddDiv {2 copy (/) PutIntervalOneAdd} bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Add a plus sign in string at the given index +%% str index -> str index+1 +/AddAdd {2 copy (+) PutIntervalOneAdd} bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Add a minus sign in string at the given index +%% str index -> str index+1 +/AddSub {2 copy (-) PutIntervalOneAdd} bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Add a pipe sign in string at the given index +%% str index -> str index+1 +/AddPipe {2 copy (|) PutIntervalOneAdd} bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% H O O K S +/AnalyzePreHook { dup 5 1 roll } bind def +/PreEvalHook {} def +/AnalyzePostHook { 7 -1 roll pop } bind def +/AnalyzeListOfEPostHook { 6 -1 roll mark 6 1 roll cleartomark } bind def +/RollOp { 5 1 roll } bind def +end%%%tx@CoreAnalyzerDict +/tx@AddMathFunc 12 dict def tx@AddMathFunc begin +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% NEW FUNC +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% function arcsine in radians asin(x)=atan(x/sqrt(1-x^2)) +%% x -> theta +/asin {% + dup abs 1 gt { EQDFasinrangeerror } if + dup dup dup mul 1 exch sub sqrt atan exch 0 lt { 360 sub } if DegtoRad +} def +%% function arccosine in radians acos(x)=atan(sqrt(1-x^2)/x) +%% x -> theta +/acos {% + dup abs 1 gt { EQDFacosrangeerror } if + dup dup mul 1 exch sub sqrt exch atan DegtoRad +} def +%% function arctangent in radians +%% x -> theta +/atg { 1 atan dup 90 gt { 360 sub } if DegtoRad } bind def +%% HYPERBOLIC FUNCTIONS +/sh { dup Ex exch neg Ex sub 2 div } def +/ch { dup Ex exch neg Ex add 2 div } def +/th { dup sh exch ch div } def +/Argsh { dup dup mul 1 add sqrt add ln } def +/Argch { dup dup mul 1 sub sqrt add ln } def +/Argth { dup 1 add exch 1 exch sub div ln 2 div } def +%% modified exponential funtion for 0 +%% x n -> x^n +/Exp { dup 0 eq { pop pop 1 } { exp } ifelse } bind def +%% modified exponential funtion for 0 +%% x -> e^x +/Ex { Euler exch exp } bind def +%% +%% factorial function +%% n -> n! +/Fact { 1 exch 2 exch 1 exch { mul } for } bind def +/fact { Fact } bind def +/! { Fact } bind def +end +% +% END pst-algparser.pro + +%%EndProcSet +%%BeginProcSet: pst-tools.pro 0 0 +% $Id: pst-tools.pro 622 2012-01-01 15:36:14Z herbert $ +% +%% PostScript tools prologue for pstricks.tex. +%% Version 0.02, 2012/01/01 +%% +%% This program can be redistributed and/or modified under the terms +%% of the LaTeX Project Public License Distributed from CTAN archives +%% in directory macros/latex/base/lppl.txt. +% +% +/Pi2 1.57079632679489661925640 def +/factorial { % n on stack, returns n! + dup 0 eq { 1 }{ + dup 1 gt { dup 1 sub factorial mul } if } + ifelse } def +% +/MoverN { % m n on stack, returns the binomial coefficient m over n + 2 dict begin + /n exch def /m exch def + n 0 eq { 1 }{ + m n eq { 1 }{ + m factorial n factorial m n sub factorial mul div } ifelse } ifelse + end +} def +% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% subroutines for complex numbers, given as an array [a b] +% which is a+bi = Real+i Imag +% +/cxadd { % [a1 b1] [a2 b2] = [a1+a2 b1+b2] + dup 0 get % [a1 b1] [a2 b2] a2 + 3 -1 roll % [a2 b2] a2 [a1 b1] + dup 0 get % [a2 b2] a2 [a1 b1] a1 + 3 -1 roll % [a2 b2] [a1 b1] a1 a2 + add % [a2 b2] [a1 b1] a1+a2 + 3 1 roll % a1+a2 [a2 b2] [a1 b1] + 1 get % a1+a2 [a2 b2] b1 + exch 1 get % a1+a2 b1 b2 + add 2 array astore +} def +% +/cxneg { % [a b] + dup 1 get % [a b] b + exch 0 get % b a + neg exch neg % -a -b + 2 array astore +} def +% +/cxsub { cxneg cxadd } def % same as negative addition +% +% [a1 b1][a2 b2] = [a1a2-b1b2 a1b2+b1a2] = [a3 b3] +/cxmul { % [a1 b1] [a2 b2] + dup 0 get % [a1 b1] [a2 b2] a2 + exch 1 get % [a1 b1] a2 b2 + 3 -1 roll % a2 b2 [a1 b1] + dup 0 get % a2 b2 [a1 b1] a1 + exch 1 get % a2 b2 a1 b1 + dup % a2 b2 a1 b1 b1 + 5 -1 roll dup % b2 a1 b1 b1 a2 a2 + 3 1 roll mul % b2 a1 b1 a2 b1a2 + 5 -2 roll dup % b1 a2 b1a2 b2 a1 a1 + 3 -1 roll dup % b1 a2 b1a2 a1 a1 b2 b2 + 3 1 roll mul % b1 a2 b1a2 a1 b2 a1b2 + 4 -1 roll add % b1 a2 a1 b2 b3 + 4 2 roll mul % b1 b2 b3 a1a2 + 4 2 roll mul sub % b3 a3 + exch 2 array astore +} def +% +% [a b]^2 = [a^2-b^2 2ab] = [a2 b2] +/cxsqr { % [a b] square root + dup 0 get exch 1 get % a b + dup dup mul % a b b^2 + 3 -1 roll % b b^2 a + dup dup mul % b b^2 a a^2 + 3 -1 roll sub % b a a2 + 3 1 roll mul 2 mul % a2 b2 + 2 array astore +} def +% +/cxsqrt { % [a b] +% dup cxnorm sqrt /r exch def +% cxarg 2 div RadtoDeg dup cos r mul exch sin r mul cxmake2 + cxlog % log[a b] + 2 cxrdiv % log[a b]/2 + aload pop exch % b a + 2.781 exch exp % b exp(a) + exch cxconv exch % [Re +iIm] exp(a) + cxrmul % +} def +% +/cxarg { % [a b] + aload pop % a b + exch atan % arctan b/a + DegtoRad % arg(z)=atan(b/a) +} def +% +% log[a b] = [a^2-b^2 2ab] = [a2 b2] +/cxlog { % [a b] + dup % [a b][a b] + cxnorm % [a b] |z| + log % [a b] log|z| + exch % log|z|[a b] + cxarg % log|z| Theta + cxmake2 % [log|z| Theta] +} def +% +% square of magnitude of complex number +/cxnorm2 { % [a b] + dup 0 get exch 1 get % a b + dup mul % a b^2 + exch dup mul add % a^2+b^2 +} def +% +/cxnorm { % [a b] + cxnorm2 sqrt +} def +% +/cxconj { % conjugent complex + dup 0 get exch 1 get % a b + neg 2 array astore % [a -b] +} def +% +/cxre { 0 get } def % real value +/cxim { 1 get } def % imag value +% +% 1/[a b] = ([a -b]/(a^2+b^2) +/cxrecip { % [a b] + dup cxnorm2 exch % n2 [a b] + dup 0 get exch 1 get % n2 a b + 3 -1 roll % a b n2 + dup % a b n2 n2 + 4 -1 roll exch div % b n2 a/n2 + 3 1 roll div % a/n2 b/n2 + neg 2 array astore +} def +% +/cxmake1 { 0 2 array astore } def % make a complex number, real given +/cxmake2 { 2 array astore } def % dito, both given +% +/cxdiv { cxrecip cxmul } def +% +% multiplikation by a real number +/cxrmul { % [a b] r + exch aload pop % r a b + 3 -1 roll dup % a b r r + 3 1 roll mul % a r b*r + 3 1 roll mul % b*r a*r + exch 2 array astore % [a*r b*r] +} def +% +% division by a real number +/cxrdiv { % [a b] r + 1 exch div % [a b] 1/r + cxrmul +} def +% +% exp(i theta) = cos(theta)+i sin(theta) polar<->cartesian +/cxconv { % theta + RadtoDeg dup sin exch cos cxmake2 +} def + +%%%%% ### bubblesort ### +%% syntax : array bubblesort --> array2 trie par ordre croissant +%% code de Bill Casselman +%% http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/ +/bubblesort { % on stack must be an array [ ... ] +4 dict begin + /a exch def + /n a length 1 sub def + n 0 gt { + % at this point only the n+1 items in the bottom of a remain to + % the sorted largest item in that blocks is to be moved up into + % position n + n { + 0 1 n 1 sub { + /i exch def + a i get a i 1 add get gt { + % if a[i] > a[i+1] swap a[i] and a[i+1] + a i 1 add + a i get + a i a i 1 add get + % set new a[i] = old a[i+1] + put + % set new a[i+1] = old a[i] + put + } if + } for + /n n 1 sub def + } repeat + } if + a % return the sorted array +end +} def +% +/concatstringarray{ % [(a) (b) ... (z)] --> (ab...z) 20100422 + 0 1 index { length add } forall + string + 0 3 2 roll + { 3 copy putinterval length add }forall + pop +} bind def +% +/dot2comma {% on stack a string (...) + 2 dict begin + /Output exch def + 0 1 Output length 1 sub { + /Index exch def + Output Index get 46 eq { Output Index 44 put } if + } for + Output + end +} def +% +%-----------------------------------------------------------------------------% +% END pst-tools.pro + +%%EndProcSet +%%BeginProcSet: pst-dots.pro 0 0 +% $Id: pst-dots.pro 130 2009-08-27 08:55:03Z herbert $ +% +%% PostScript prologue for pstricks.tex. +%% Version 2.02, 2009/06/16 +%% +%% For distribution, see pstricks.tex. +%% +%% Timothy Van Zandt <tvz@Princeton.EDU> +%% +%% This program can be redistributed and/or modified under the terms +%% of the LaTeX Project Public License Distributed from CTAN archives +%% in directory macros/latex/base/lppl.txt. +%% +%% Modified by Etienne Riga - Dec. 16, 1999 +%% Modified by Etienne Riga - 2005/01/01 (er) +%% to add /Diamond, /SolidDiamond and /BoldDiamond +%% Modified by Herbert Voss (hv) - 2008/04/17 +% +10 dict dup begin % hold local + /FontType 3 def + /FontMatrix [.001 0 0 .001 0 0] def +% /FontBBox [-571.5 -742.5 571.5 742.5] def % changed to next line 20060616 hv + /FontBBox [-1000 -1000 1000 1000] def % See end of file in /BuildGlyph + /Encoding 256 array def + 0 1 255 {Encoding exch /.notdef put} for % fill the array with /.notdef + Encoding % replace with given dot names + dup (b) 0 get /Bullet put % get the numerical position of b in ASCII +% % and save /Bullet at this place in Encoding + dup (c) 0 get /Circle put + dup (C) 0 get /BoldCircle put % 67 + dup (u) 0 get /SolidTriangle put + dup (t) 0 get /Triangle put + dup (T) 0 get /BoldTriangle put + dup (r) 0 get /SolidSquare put + dup (s) 0 get /Square put + dup (S) 0 get /BoldSquare put + dup (q) 0 get /SolidPentagon put + dup (p) 0 get /Pentagon put + dup (P) 0 get /BoldPentagon put +%%% + dup (k) 0 get /Asterisk put + dup (K) 0 get /BoldAsterisk put + dup (J) 0 get /SolidAsterisk put + dup (h) 0 get /Hexagon put + dup (H) 0 get /BoldHexagon put + dup (G) 0 get /SolidHexagon put + dup (f) 0 get /Octogon put % 2008-04-18 hv + dup (F) 0 get /BoldOctogon put % 2008-04-18 hv + dup (g) 0 get /SolidOctogon put % 2008-04-18 hv + dup (a) 0 get /Add put + dup (A) 0 get /BoldAdd put % 65 + dup (x) 0 get /Mul put + dup (X) 0 get /BoldMul put + dup (m) 0 get /Oplus put + dup (M) 0 get /BOplus put + dup (e) 0 get /SolidOplus put + dup (n) 0 get /Otimes put + dup (N) 0 get /BOtimes put + dup (E) 0 get /SolidOtimes put + dup (i) 0 get /Bar put + dup (I) 0 get /BoldBar put + dup (l) 0 get /SolidDiamond put + dup (d) 0 get /Diamond put + (D) 0 get /BoldDiamond put +%%% +/CharProcs 47 dict def +CharProcs begin + /CirclePath {0 0 500 0 360 arc closepath} def + /Bullet {CirclePath fill} def + /Circle {CirclePath .9 .9 scale CirclePath eofill} def + /BoldCircle {CirclePath .8 .8 scale CirclePath eofill} def + /TrianglePath {0 660 moveto -571.5 -330 lineto 571.5 -330 lineto closepath} def + /SolidTriangle {TrianglePath fill} def + /Triangle {TrianglePath .85 .85 scale TrianglePath eofill} def + /BoldTriangle {TrianglePath .7 .7 scale TrianglePath eofill} def + /SquarePath {-450 450 moveto 450 450 lineto 450 -450 lineto -450 -450 lineto closepath} def + /SolidSquare {SquarePath fill} def + /Square {SquarePath .89 .89 scale SquarePath eofill} def + /BoldSquare {SquarePath .78 .78 scale SquarePath eofill} def + /PentagonPath { + -337.8 -465 moveto 337.8 -465 lineto 546.6 177.6 lineto + 0 574.7 lineto -546.6 177.6 lineto closepath + } def + /SolidPentagon {PentagonPath fill} def + /Pentagon {PentagonPath .89 .89 scale PentagonPath eofill} def + /BoldPentagon {PentagonPath .78 .78 scale PentagonPath eofill} def +%-------------- hv begin 2004/07/25 from: er 2003/03/24 + /HexagonPath { + 0 550 moveto -476 275 lineto -476 -275 lineto + 0 -550 lineto 476 -275 lineto 476 275 lineto closepath + } def + /SolidHexagon {HexagonPath fill} def + /Hexagon {HexagonPath .89 .89 scale HexagonPath eofill} def + /BoldHexagon {HexagonPath .79 .79 scale HexagonPath eofill} def +% 2008-04-18 hv + /OctogonPath { + 550 dup 22.5 tan mul dup neg dup add /xMove exch def + exch moveto 7 { xMove 0 rlineto 45 rotate } repeat closepath } def + /SolidOctogon { OctogonPath fill } def + /Octogon { OctogonPath .89 .89 scale OctogonPath eofill } def + /BoldOctogon { OctogonPath .79 .79 scale OctogonPath eofill } def +% + /AsteriskPath { + 20 0 moveto 10 250 180 500 0 500 curveto + -180 500 -10 250 -20 0 curveto closepath + } def + /Asterisk { + AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath + 60 rotate AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath fill + } def +% + /Basterp {50 250 220 500 0 500 curveto -220 500 -50 250 -50 30 cos 100 mul curveto} def + /BoldAsteriskPath { + 50 30 cos 100 mul moveto Basterp + 60 rotate Basterp 60 rotate Basterp + 60 rotate Basterp 60 rotate Basterp + 60 rotate Basterp closepath + } def + /BoldAsterisk {BoldAsteriskPath fill} def + /SolidAsterisk {CirclePath .9 .9 scale BoldAsteriskPath eofill} def + /CrossPath { + 40 550 moveto -40 550 lineto -40 40 lineto -550 40 lineto + -550 -40 lineto -40 -40 lineto -40 -550 lineto 40 -550 lineto + 40 -40 lineto 550 -40 lineto 550 40 lineto 40 40 lineto closepath + } def + /BoldCrossPath {80 550 moveto -80 550 lineto -80 80 lineto -550 80 lineto + -550 -80 lineto -80 -80 lineto -80 -550 lineto 80 -550 lineto + 80 -80 lineto 550 -80 lineto 550 80 lineto 80 80 lineto closepath + } def + /Add {CrossPath fill} def + /Mul {45 rotate CrossPath fill} def + /BoldAdd {BoldCrossPath fill} def + /BoldMul {45 rotate BoldCrossPath fill} def + /Oplus {CirclePath .9 .9 scale CirclePath eofill .775 .775 scale CrossPath fill } def + /SolidOplus {CirclePath .775 .775 scale BoldCrossPath eofill} def + /BOplus {CirclePath .8 .8 scale CirclePath eofill .775 .775 scale BoldCrossPath fill} def + /Otimes {CirclePath .9 .9 scale CirclePath eofill 45 rotate .775 .775 scale CrossPath fill} def + /BOtimes {CirclePath .8 .8 scale CirclePath eofill 45 rotate .775 .775 scale BoldCrossPath fill } def + /SolidOtimes {CirclePath 45 rotate .775 .775 scale BoldCrossPath eofill} def + /BarPath {40 660 moveto -40 660 lineto -40 -660 lineto 40 -660 lineto closepath} def + /Bar {BarPath fill} def + /BoldBarPath {80 660 moveto -80 660 lineto -80 -660 lineto 80 -660 lineto closepath} def + /BoldBar {BoldBarPath fill} def + /DiamondPath {0 742.5 moveto -428.5 0 lineto 0 -742.5 lineto 428.5 0 lineto closepath} def + /SolidDiamond {DiamondPath fill} def + /Diamond {DiamondPath .865 .865 scale DiamondPath eofill} def + /BoldDiamond {DiamondPath .73 .73 scale DiamondPath eofill} def +%%% + /.notdef { } def +end +% +/BuildGlyph { + exch + begin +% Metrics 1 index get exec 0 + 0 0 +% BBoxes 3 index get exec + -1000 -1000 1000 1000 +% -571.5 -742.5 571.5 742.5 + setcachedevice + CharProcs begin load exec end + end +} def +% +/BuildChar { + 1 index /Encoding get exch get + 1 index /BuildGlyph get exec +} bind def +% +end +/PSTricksDotFont exch definefont pop +% +%% end + +%%EndProcSet +%%BeginProcSet: pst-node.pro 0 0 +% $Id: pst-node.pro 645 2012-02-12 09:09:51Z herbert $ +%% +%% PostScript prologue for pst-node.tex. +%% Version 1.13, 2011/11/21. +%% +%% This program can be redistributed and/or modified under the terms +%% of the LaTeX Project Public License Distributed from CTAN archives +%% in directory macros/latex/base/lppl.txt. +% +/tx@NodeDict 400 dict def tx@NodeDict begin +tx@Dict begin % from main pstricks dict + /T /translate load def + /CP /currentpoint load def +end +/NewNode { % on stack: { x y } boolean N@name type InitXnode + gsave + NodeScale % a bugfix for xelatex, it's empty for dvips + /next exch def % { x y } boolean N@name type + dict dup % { x y } boolean N@name dict dict + 3 1 roll def % { x y } boolean dict N@name dict def + exch { dup 3 1 roll def } if % { x y } dict boolean + begin % { x y } dict begin + tx@Dict begin + STV CP T exec % set scaling + end + /NodeMtrx CM def % save CM + next % InitXNode + end + grestore +} def +% +/InitPnode { + /Y ED /X ED + /NodePos { NodeSep Cos mul NodeSep Sin mul } def +} def +% +/InitCnode { + /r ED /Y ED /X ED + /NodePos { NodeSep r add dup Cos mul exch Sin mul } def +} def +% +/GetRnodePos { + Cos 0 gt { /dx r NodeSep add def } { /dx l NodeSep sub def } ifelse + Sin 0 gt { /dy u NodeSep add def } { /dy d NodeSep sub def } ifelse + dx Sin mul abs dy + Cos mul abs gt { dy Cos mul Sin div dy } { dx dup Sin mul Cos Div } ifelse +} def +% +/InitRnode { + /Y ED /X ED X sub /r ED /l X neg def Y add neg /d ED Y sub /u ED + /NodePos { GetRnodePos } def +} def +% +/DiaNodePos { + w h mul w Sin mul abs h Cos mul abs add Div NodeSep add dup + Cos mul exch Sin mul +} def +% +/TriNodePos { + Sin s lt + { d NodeSep sub dup Cos mul Sin Div exch } + { w h mul w Sin mul h Cos abs mul add Div + NodeSep add dup Cos mul exch Sin mul + } ifelse +} def +% +/InitTriNode { + sub 2 div exch + 2 div exch + 2 copy T + 2 copy 4 index index /d ED + pop pop pop pop + -90 mul rotate + /NodeMtrx CM def + /X 0 def /Y 0 def + d sub abs neg /d ED + d add /h ED + 2 div h mul h d sub Div /w ED + /s d w Atan sin def + /NodePos { TriNodePos } def +} def +% +/OvalNodePos { + /ww w NodeSep add def + /hh h NodeSep add def + Sin ww mul Cos hh mul Atan dup cos ww mul exch sin hh mul +} def +% +/GetCenter { begin X Y NodeMtrx transform CM itransform end } def +% +/XYPos { + dup sin exch cos Do + /Cos ED /Sin ED /Dist ED + Cos 0 gt + { Dist Dist Sin mul Cos div } + { Cos 0 lt + { Dist neg Dist Sin mul Cos div neg } + { 0 Dist Sin mul } ifelse + } ifelse + Do +} def +% +/GetEdge { + dup 0 eq + { pop begin 1 0 NodeMtrx dtransform + CM idtransform + exch atan sub + dup + sin /Sin ED + cos /Cos ED + /NodeSep ED + NodePos NodeMtrx dtransform CM idtransform end } + { 1 eq {{exch}} {{}} ifelse /Do ED pop XYPos } ifelse +} def +% +/AddOffset { + 1 index 0 eq + { pop pop } + { 2 copy 5 2 roll cos mul add 4 1 roll sin mul sub exch } ifelse +} def +% +/GetEdgeA { + NodeSepA AngleA NodeA NodeSepTypeA GetEdge + OffsetA AngleA AddOffset + yA add /yA1 ED + xA add /xA1 ED +} def +% +/GetEdgeB { + NodeSepB AngleB NodeB NodeSepTypeB GetEdge + OffsetB AngleB AddOffset + yB add /yB1 ED + xB add /xB1 ED +} def +% +/GetArmA { + ArmTypeA 0 eq + { /xA2 ArmA AngleA cos mul xA1 add def + /yA2 ArmA AngleA sin mul yA1 add def } + { ArmTypeA 1 eq {{exch}} {{}} ifelse + /Do ED + ArmA AngleA XYPos OffsetA AngleA AddOffset + yA add /yA2 ED + xA add /xA2 ED } ifelse +} def +% +/GetArmB { + ArmTypeB 0 eq + { /xB2 ArmB AngleB cos mul xB1 add def + /yB2 ArmB AngleB sin mul yB1 add def } + { ArmTypeB 1 eq {{exch}} {{}} ifelse + /Do ED + ArmB AngleB XYPos OffsetB AngleB AddOffset + yB add /yB2 ED + xB add /xB2 ED } ifelse +} def +% +/InitNC { + /b ED /a ED % second and first node + /NodeSepTypeB ED /NodeSepTypeA ED + /NodeSepB ED /NodeSepA ED + /OffsetB ED /OffsetA ED + tx@NodeDict a known tx@NodeDict b known and dup { + /NodeA a load def + /NodeB b load def + NodeA GetCenter /yA ED /xA ED + NodeB GetCenter /yB ED /xB ED } if +} def +% +/LPutLine { + 4 copy + 3 -1 roll sub neg 3 1 roll sub Atan /NAngle ED + 1 t sub mul + 3 1 roll 1 t sub mul + 4 1 roll t mul add /Y ED + t mul add /X ED +} def +% +/LPutLines { + mark LPutVar counttomark 2 div 1 sub /n ED +% t floor dup n gt + t floor dup n ge % to allow npos<= hv 2008-08-14 + { pop n 1 sub /t 1 def } { dup t sub neg /t ED } ifelse + cvi 2 mul { pop } repeat + LPutLine + cleartomark +} def +% +/BezierMidpoint { + /y3 ED /x3 ED /y2 ED /x2 ED /y1 ED /x1 ED /y0 ED /x0 ED /t ED + /cx x1 x0 sub 3 mul def + /cy y1 y0 sub 3 mul def + /bx x2 x1 sub 3 mul cx sub def + /by y2 y1 sub 3 mul cy sub def + /ax x3 x0 sub cx sub bx sub def + /ay y3 y0 sub cy sub by sub def + ax t 3 exp mul bx t t mul mul add + cx t mul add x0 add ay t 3 exp mul + by t t mul mul add cy t mul add + y0 add 3 ay t t mul mul mul 2 + by t mul mul add cy add 3 ax t t mul mul mul + 2 bx t mul mul add cx add atan /NAngle ED + /Y ED /X ED +} def +% +/HPosBegin { yB yA ge { /t 1 t sub def } if /Y yB yA sub t mul yA add def +} def +/HPosEnd { /X Y yyA sub yyB yyA sub Div xxB xxA sub mul xxA add def +/NAngle yyB yyA sub xxB xxA sub Atan def } def +/HPutLine { HPosBegin /yyA ED /xxA ED /yyB ED /xxB ED HPosEnd } def +/HPutLines { HPosBegin yB yA ge { /check { le } def } { /check { ge } def +} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { dup Y check { exit +} { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark HPosEnd +} def +/VPosBegin { xB xA lt { /t 1 t sub def } if /X xB xA sub t mul xA add def +} def +/VPosEnd { /Y X xxA sub xxB xxA sub Div yyB yyA sub mul yyA add def +/NAngle yyB yyA sub xxB xxA sub Atan def } def +/VPutLine { VPosBegin /yyA ED /xxA ED /yyB ED /xxB ED VPosEnd } def +/VPutLines { VPosBegin xB xA ge { /check { le } def } { /check { ge } def +} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { 1 index X check { +exit } { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark +VPosEnd } def +/HPutCurve { gsave newpath /SaveLPutVar /LPutVar load def LPutVar 8 -2 +roll moveto curveto flattenpath /LPutVar [ {} {} {} {} pathforall ] cvx +def grestore exec /LPutVar /SaveLPutVar load def } def +/NCCoor { /AngleA yB yA sub xB xA sub Atan def /AngleB AngleA 180 add def +GetEdgeA GetEdgeB /LPutVar [ xB1 yB1 xA1 yA1 ] cvx def /LPutPos { +LPutVar LPutLine } def /HPutPos { LPutVar HPutLine } def /VPutPos { +LPutVar VPutLine } def LPutVar } def +% +/NCLine { + NCCoor + tx@Dict begin + ArrowA CP 4 2 roll + ArrowB + lineto pop pop + end +} def +% +/NCLines { + false NArray + n 0 eq + { NCLine } + { 2 copy yA sub exch xA sub Atan /AngleA ED + n 2 mul dup index exch index yB sub exch xB sub + Atan /AngleB ED + GetEdgeA GetEdgeB + /LPutVar [ xB1 yB1 n 2 mul 4 add 4 roll xA1 yA1 ] cvx def + mark LPutVar + tx@Dict begin false Line end + /LPutPos { LPutLines } def + /HPutPos { HPutLines } def + /VPutPos { VPutLines } def + } ifelse +} def +% +/NCCurve { + GetEdgeA + GetEdgeB + xA1 xB1 sub yA1 yB1 sub Pyth 2 div dup 3 -1 +roll mul /ArmA ED mul /ArmB ED /ArmTypeA 0 def /ArmTypeB 0 def GetArmA +GetArmB xA2 yA2 xA1 yA1 tx@Dict begin ArrowA end xB2 yB2 xB1 yB1 tx@Dict +begin ArrowB end curveto /LPutVar [ xA1 yA1 xA2 yA2 xB2 yB2 xB1 yB1 ] +cvx def /LPutPos { t LPutVar BezierMidpoint } def /HPutPos { { HPutLines +} HPutCurve } def /VPutPos { { VPutLines } HPutCurve } def } def +% +/NCAngles { + GetEdgeA GetEdgeB GetArmA GetArmB + /mtrx AngleA matrix rotate def + xA2 yA2 mtrx transform pop + xB2 yB2 mtrx transform exch pop + mtrx itransform + /y0 ED /x0 ED + mark ArmB 0 ne { xB1 yB1 } if + xB2 yB2 x0 y0 xA2 yA2 + ArmA 0 ne { xA1 yA1 } if + tx@Dict begin false Line end + /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA2 yA2 xA1 yA1 ] cvx def + /LPutPos { LPutLines } def + /HPutPos { HPutLines } def + /VPutPos { VPutLines } def } def +% +/NCAngle { + GetEdgeA GetEdgeB GetArmB + /mtrx AngleA matrix rotate def + xB2 yB2 mtrx itransform pop xA1 yA1 mtrx itransform exch pop mtrx transform + /y0 ED /x0 ED + mark + ArmB 0 ne { xB1 yB1 } if + xB2 yB2 x0 y0 xA1 yA1 + tx@Dict begin false Line end + /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA1 yA1 ] cvx def + /LPutPos { LPutLines } def + /HPutPos { HPutLines } def + /VPutPos { VPutLines } def +} def +% +/NCBar { + GetEdgeA GetEdgeB GetArmA GetArmB + /mtrx AngleA matrix rotate def + xA2 yA2 mtrx itransform pop + xB2 yB2 mtrx itransform pop + sub dup 0 mtrx transform + 3 -1 roll 0 gt + { /yB2 exch yB2 add def /xB2 exch xB2 add def } + { /yA2 exch neg yA2 add def /xA2 exch neg xA2 add def } ifelse + mark + ArmB 0 ne { xB1 yB1 } if + xB2 yB2 xA2 yA2 ArmA 0 ne { xA1 yA1 } if + tx@Dict begin false Line end + /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def + /LPutPos { LPutLines } def + /HPutPos { HPutLines } def + /VPutPos { VPutLines } def +} def +% +/NCDiag { + /lineAngle ED + GetEdgeA GetEdgeB GetArmA GetArmB mark + lineAngle abs 0 gt { + /xTemp xA2 10 add def + /yTemp yA2 lineAngle dup sin exch cos div 10 mul add def + /dY1 yTemp yA2 sub def + /dX1 xTemp xA2 sub def + /dY2 yB2 yB1 sub def + /dX2 xB2 xB1 sub def + dX1 abs 0.01 lt { + /m2 dY2 dX2 div def + /xB2 xA2 def + /yB2 xA2 xB1 sub m2 mul yB1 add def + }{ + dX2 abs 0.01 lt { + /m1 dY1 dX1 div def + /xB2 xB1 def + /yB2 xB1 xA2 sub m1 mul yA2 add def + }{% + /m1 dY1 dX1 div def + /m2 dY2 dX2 div def + /xB2 m1 xA2 mul m2 xB1 mul sub yA2 sub yB1 add m1 m2 sub div def + /yB2 xB2 xA2 sub m1 mul yA2 add def + } ifelse + } ifelse + } if + ArmB 0 ne { xB1 yB1 } if + xB2 yB2 xA2 yA2 + ArmA 0 ne { xA1 yA1 } if + tx@Dict begin false Line end + /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def + /LPutPos { LPutLines } def + /HPutPos { HPutLines } def + /VPutPos { VPutLines } def +% +% GetEdgeA GetEdgeB GetArmA GetArmB mark +% ArmB 0 ne { xB1 yB1 } if +% xB2 yB2 xA2 yA2 +% ArmA 0 ne { xA1 yA1 } if +% tx@Dict begin false Line end +% /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def +% /LPutPos { LPutLines } def +% /HPutPos { HPutLines } def +% /VPutPos { VPutLines } def +} def +% +/NCDiagg { + /lineAngle ED + GetEdgeA GetArmA + lineAngle abs 0 gt + { lineAngle } + { yB yA2 sub xB xA2 sub Atan 180 add } ifelse + /AngleB ED + GetEdgeB mark + lineAngle abs 0 gt { + /dY2 yA2 yA1 sub def + /dX2 xA2 xA1 sub def + lineAngle abs 90 eq { + /m2 dY2 dX2 div def + /yA2 xB xA2 sub m2 mul yA2 add def + /xA2 xB def + }{ + /m1 lineAngle dup sin exch cos div def % tan alpha + dX2 abs 0.01 lt { + /yA2 xA1 xB sub m1 mul yB add def + /xA2 xA1 def + }{% + /m2 dY2 dX2 div def + /xA2 m1 xB mul m2 xA2 mul sub yA2 add yB sub m1 m2 sub div def + /yA2 xA2 xB sub m1 mul yB add def + } ifelse + } ifelse + } if + xB1 yB1 xA2 yA2 + ArmA 0 ne { xA1 yA1 } if + tx@Dict begin false Line end + /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def + /LPutPos { LPutLines } def + /HPutPos { HPutLines } def + /VPutPos { VPutLines } def +% +% GetEdgeA GetArmA +% yB yA2 sub xB xA2 sub Atan 180 add /AngleB ED +% GetEdgeB +% mark +% xB1 yB1 xA2 yA2 +% ArmA 0 ne { xA1 yA1 } if +% tx@Dict begin false Line end +% /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def +% /LPutPos { LPutLines } def +% /HPutPos { HPutLines } def +% /VPutPos { VPutLines } def +} def +% +/NCLoop { + GetEdgeA GetEdgeB GetArmA GetArmB + /mtrx AngleA matrix rotate def + xA2 yA2 mtrx transform loopsize add /yA3 ED /xA3 ED + /xB3 xB2 yB2 mtrx transform pop def + xB3 yA3 mtrx itransform /yB3 ED /xB3 ED + xA3 yA3 mtrx itransform /yA3 ED /xA3 ED + mark ArmB 0 ne { xB1 yB1 } if + xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 ArmA 0 ne { xA1 yA1 } if + tx@Dict begin false Line end + /LPutVar [ xB1 yB1 xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 xA1 yA1 ] cvx def + /LPutPos { LPutLines } def + /HPutPos { HPutLines } def + /VPutPos { VPutLines } def +} def +% +% DG/SR modification begin - May 9, 1997 - Patch 1 +%/NCCircle { 0 0 NodesepA nodeA \tx@GetEdge pop xA sub 2 div dup 2 exp r +%r mul sub abs sqrt atan 2 mul /a ED r AngleA 90 add PtoC yA add exch xA add +%exch 2 copy /LPutVar [ 4 2 roll r AngleA ] cvx def /LPutPos { LPutVar t 360 +%mul add dup 5 1 roll 90 sub \tx@PtoC 3 -1 roll add /Y ED add /X ED /NAngle ED +% +/NCCircle { + NodeSepA 0 NodeA 0 GetEdge pop + 2 div dup 2 exp r r mul sub abs sqrt + atan 2 mul /a ED + r AngleA 90 add PtoC yA add exch xA add + exch 2 copy + /LPutVar [ 4 2 roll r AngleA ] cvx def + /LPutPos { + LPutVar t 360 mul add dup 5 1 roll 90 sub PtoC + 3 -1 roll add + /Y ED add /X ED /NAngle ED +% DG/SR modification end + } def + /HPutPos { LPutPos } def + /VPutPos { LPutPos } def + r AngleA 90 sub a add AngleA 270 add a sub + tx@Dict begin + /angleB ED /angleA ED /r ED + /c 57.2957 r Div def + /y ED /x ED +} def +% +/NCBox { + /d ED /h ED + /AngleB yB yA sub xB xA sub Atan def + /AngleA AngleB 180 add def + GetEdgeA GetEdgeB + /dx d AngleB sin mul def + /dy d AngleB cos mul neg def + /hx h AngleB sin mul neg def + /hy h AngleB cos mul def + /LPutVar [ + xA1 hx add yA1 hy add xB1 hx add yB1 hy add + xB1 dx add yB1 dy add xA1 dx add yA1 dy add ] cvx def + /LPutPos { LPutLines } def + /HPutPos { xB yB xA yA LPutLine } def + /VPutPos { HPutPos } def + mark + LPutVar tx@Dict begin false Polygon end +} def +% +/NCArcBox { + /l ED neg /d ED /h ED /a ED + /AngleA yB yA sub xB xA sub Atan def + /AngleB AngleA 180 add def + /tA AngleA a sub 90 add def + /tB tA a 2 mul add def + /r xB xA sub tA cos tB cos sub Div dup 0 eq { pop 1 } if def + /x0 xA r tA cos mul add def + /y0 yA r tA sin mul add def + /c 57.2958 r div def + /AngleA AngleA a sub 180 add def + /AngleB AngleB a add 180 add def + GetEdgeA GetEdgeB + /AngleA tA 180 add yA yA1 sub xA xA1 sub Pyth c mul sub def + /AngleB tB 180 add yB yB1 sub xB xB1 sub Pyth c mul add def + l 0 eq { + x0 y0 r h add AngleA AngleB arc x0 y0 r d add AngleB AngleA arcn + }{ + x0 y0 translate + /tA AngleA l c mul add def + /tB AngleB l c mul sub def + 0 0 r h add tA tB arc r h add + AngleB PtoC r d add + AngleB PtoC 2 copy + 6 2 roll l arcto 4 { pop } repeat + r d add tB PtoC l arcto 4 { pop } repeat + 0 0 r d add tB tA arcn r d add + AngleA PtoC r h add + AngleA PtoC 2 copy 6 2 roll + l arcto 4 { pop } repeat + r h add tA PtoC l arcto 4 { pop } repeat + } ifelse + closepath + /LPutVar [ x0 y0 r AngleA AngleB h d ] cvx def + /LPutPos { + LPutVar /d ED /h ED + /AngleB ED /AngleA ED + /r ED /y0 ED /x0 ED + t 1 le { + r h add AngleA 1 t sub mul AngleB t mul add dup 90 add /NAngle ED PtoC + }{t 2 lt { + /NAngle AngleB 180 add def r 2 t sub + h mul t 1 sub d mul add add AngleB PtoC + }{ + t 3 lt { + r d add AngleB 3 t sub mul AngleA 2 t sub + mul add dup 90 sub /NAngle ED PtoC + }{ + /NAngle AngleA 180 add def + r 4 t sub d mul t 3 sub h mul add add AngleA PtoC + } ifelse + } ifelse + } ifelse + y0 add /Y ED x0 add /X ED + } def + /HPutPos { LPutPos } def + /VPutPos { LPutPos } def +} def +% +/Tfan { /AngleA yB yA sub xB xA sub Atan def GetEdgeA w xA1 xB sub yA1 yB +sub Pyth Pyth w Div CLW 2 div mul 2 div dup AngleA sin mul yA1 add /yA1 +ED AngleA cos mul xA1 add /xA1 ED /LPutVar [ xA1 yA1 m { xB w add yB xB +w sub yB } { xB yB w sub xB yB w add } ifelse xA1 yA1 ] cvx def /LPutPos +{ LPutLines } def /VPutPos@ { LPutVar flag { 8 4 roll pop pop pop pop } +{ pop pop pop pop 4 2 roll } ifelse } def /VPutPos { VPutPos@ VPutLine } +def /HPutPos { VPutPos@ HPutLine } def mark LPutVar tx@Dict begin +/ArrowA { moveto } def /ArrowB { } def false Line closepath end } def +% +/LPutCoor { + NAngle + tx@Dict begin /NAngle ED end + gsave + CM STV + CP Y sub neg exch X sub neg exch moveto + setmatrix CP + grestore +} def +% +/LPut { + tx@NodeDict /LPutPos known + { LPutPos } { CP /Y ED /X ED /NAngle 0 def } ifelse + LPutCoor +} def +% +/HPutAdjust { + Sin Cos mul 0 eq + { 0 } + { d Cos mul Sin div flag not { neg } if + h Cos mul Sin div flag { neg } if + 2 copy gt { pop } { exch pop } ifelse + } ifelse + s add flag { r add neg }{ l add } ifelse + X add /X ED +} def +% +/VPutAdjust { + Sin Cos mul + 0 eq + { 0 } + { l Sin mul Cos div flag { neg } if + r Sin mul Cos div flag not { neg } if + 2 copy gt { pop } { exch pop } ifelse + } ifelse + s add flag { d add } { h add neg } ifelse + Y add /Y ED +} def +% +% +end +% +% END pst-node.pro + +%%EndProcSet +%%BeginProcSet: pst-3d.pro 0 0 +%% $Id: pst-3d.pro 247 2010-01-04 22:45:42Z herbert $ +% PostScript prologue for pst-3d.tex. +% Version 0.01, 2010/01/01 +% +/tx@3Ddict 300 dict def +tx@3Ddict begin +% +/SetMatrixThreeD { + dup sin /e ED cos /f ED + /p3 ED /p2 ED /p1 ED + p1 0 eq + { /a 0 def /b p2 0 le { 1 } { -1 } ifelse def + p3 p2 abs + } + { p2 0 eq + { /a p1 0 lt { -1 } { 1 } ifelse def /b 0 def + p3 p1 abs + } + { p1 dup mul p2 dup mul add sqrt dup + p1 exch div /a ED + p2 exch div neg /b ED + p3 p1 a div + } + ifelse + } + ifelse + atan dup sin /c ED cos /d ED + /Matrix3D + [ + b f mul c a mul e mul sub + a f mul c b mul e mul add + d e mul + b e mul neg c a mul f mul sub + a e mul neg c b mul f mul add + d f mul + ] def +} def +% +/ProjThreeD { + /z ED /y ED /x ED + Matrix3D aload pop + z mul exch y mul add exch x mul add + 4 1 roll + z mul exch y mul add exch x mul add + exch +} def +% +/SetMatrixEmbed { + SetMatrixThreeD + Matrix3D aload pop + /z3 ED /z2 ED /z1 ED /x3 ED /x2 ED /x1 ED + SetMatrixThreeD + [ + Matrix3D aload pop + z3 mul exch z2 mul add exch z1 mul add 4 1 roll + z3 mul exch z2 mul add exch z1 mul add + Matrix3D aload pop + x3 mul exch x2 mul add exch x1 mul add 4 1 roll + x3 mul exch x2 mul add exch x1 mul add + 3 -1 roll 3 -1 roll 4 -1 roll 8 -3 roll 3 copy + x3 mul exch x2 mul add exch x1 mul add 4 1 roll + z3 mul exch z2 mul add exch z1 mul add + ] + concat +} def +% +/TMSave { + tx@Dict /TMatrix known not { /TMatrix { } def /RAngle { 0 } def } if + /TMatrix [ TMatrix CM ] cvx def +} def +% +/TMRestore { CP /TMatrix [ TMatrix setmatrix ] cvx def moveto } def +% +/TMChange { + TMSave + /cp [ currentpoint ] cvx def % ??? Check this later. + CM + CP T STV + CM matrix invertmatrix % Inv(M') + matrix concatmatrix % M Inv(M') + exch exec + concat cp moveto +} def +% +end % of tx@3Ddict +%% +%% End of file `pst-3d.pro'. + +%%EndProcSet +%%BeginProcSet: pst-math.pro 0 0 +% -*- Mode: Postscript -*- +% pst-math.pro --- PostScript header file pst-math.pro +% +% Author : Christophe JORSSEN +% Author : Herbert Voß <hvoss@tug.org> +% Created the : Sat 20 March 2004 +% Last Mod : $Date: 2010/10/02 $ +% Version : 0.62 $ +% +/PI 3.14159265359 def +/ENeperian 2.71828182846 def +% +/DegToRad {PI mul 180 div} bind def +/RadToDeg {180 mul PI div} bind def +% +/COS {RadToDeg cos} bind def +/SIN {RadToDeg sin} bind def +/TAN {dup SIN exch COS Div} bind def +/tan {dup sin exch cos Div} bind def +/ATAN {neg -1 atan 180 sub DegToRad} bind def +/ACOS {dup dup mul neg 1 add sqrt exch atan DegToRad} bind def +/acos {dup dup mul neg 1 add sqrt exch atan} bind def +/ASIN {neg dup dup mul neg 1 add sqrt neg atan 180 sub DegToRad} bind def +/asin {neg dup dup mul neg 1 add sqrt neg atan 180 sub} bind def +% +/EXP {ENeperian exch exp} bind def +% +/COSH {dup EXP exch neg EXP add 2 div} bind def +/SINH {dup EXP exch neg EXP sub 2 div} bind def +/TANH {dup SINH exch COSH div} bind def +/ACOSH {dup dup mul 1 sub sqrt add ln} bind def +/ASINH {dup dup mul 1 add sqrt add ln} bind def +/ATANH {dup 1 add exch neg 1 add Div ln 2 div} bind def +% +%/SINC {dup SIN exch Div} bind def +/SINC { dup 0 eq { pop 1 } { dup SIN exch div } ifelse } bind def + +/GAUSS {dup mul 2 mul dup 4 -2 roll sub dup mul exch div neg EXP exch PI mul sqrt div} bind def +% +/GAMMA { 2 dict begin % hv 2007-08-30 + /z exch def + 1.000000000190015 % p(0) + 0 1 5 { % on stack is 0 1 2 3 4 5 + dup % n-1 n-1 + [ 76.18009172947146 + -86.50532032941677 + 24.0140982483091 + -1.231739572450155 + 0.1208650973866179E-2 + -0.5395239384953E-5 ] exch get exch % p(n) n-1 + 1 add z add div % p(n)/(z+n) + add % build the sum + } for + Pi 2 mul sqrt z div mul + z 5.5 add z 0.5 add exp mul ENeperian z 5.5 add neg exp mul + end } bind def +% +/GAMMALN {dup dup dup 5.5 add dup ln 3 -1 roll .5 add mul sub neg 1.000000000190015 + 0 1 5 { + [76.18009172947146 -86.50532032941677 24.0140982483091 -1.231739572450155 + .1208650973866179E-2 -.5395239384953E-5 2.5066282746310005] exch get + 4 -1 roll 1 add dup 5 1 roll div add} for + 4 -1 roll div 2.5066282746310005 mul ln add exch pop} bind def +/BETA {2 copy add GAMMALN neg exch GAMMALN 3 -1 roll GAMMALN EXP} bind def +% +/HORNER {aload length + dup 2 add -1 roll + exch 1 sub { + dup 4 1 roll + mul add exch + } repeat + pop +} bind def +% +/BESSEL_J0 {dup abs 8 lt { + dup mul dup [57568490574 -13362590354 651619640.7 -11214424.18 77392.33017 -184.9052456] HORNER + exch [57568490411 1029532985 9494680.718 59272.64853 267.8532712 1] HORNER + Div} + {abs dup .636619772 exch div sqrt exch dup .785398164 sub exch 8 exch div dup dup mul dup + [1 -1.098628627E-2 .2734510407E-4 -.2073370639E-5 .2093887211E-6] HORNER + 3 index COS mul + exch [-.1562499995E-1 .1430488765E-3 -.6911147651E-5 .7621095161E-6 -.934945152E-7] HORNER + 4 -1 roll SIN mul 3 -1 roll mul neg add mul} + ifelse} bind def +% +/BESSEL_Y0 {dup 8 lt { + dup dup mul dup [-2957821389 7062834065 -512359803.6 10879881.29 -86327.92757 228.4622733] HORNER + exch [40076544269 745249964.8 7189466.438 47447.26470 226.1030244 1] HORNER + Div exch dup ln exch BESSEL_J0 .636619772 mul mul add} + {dup .636619772 exch div sqrt exch dup .785398164 sub exch 8 exch div dup dup mul dup + [1 -.1098628627E-2 .2734510407E-4 -.2073370639E-5 .2093887211E-6] HORNER + 3 index SIN mul + exch [-.1562499995E-1 .1430488765E-3 -.6911147651E-5 .7621095161E-6 -.934945152E-7] HORNER + 4 -1 roll COS mul 3 -1 roll mul add mul} + ifelse} bind def +% +/BESSEL_J1 {dup abs 8 lt { + dup dup mul dup 3 -2 roll [72362614232 -7895059235 242396853.1 -2972611.439 15704.48260 -30.16036606] HORNER mul + exch [144725228442 2300535178 18583304.74 99447.43394 376.9991397 1] HORNER + Div} + {dup abs dup .636619772 exch div sqrt exch dup 2.356194491 sub exch 8 exch div dup dup mul dup + [1 .183105E-2 -.3516396496E-4 .2457520174E-5 -.240337019E-6] HORNER + 3 index COS mul + exch [.04687499995 6.2002690873E-3 .8449199096E-5 -.88228987E-6 .105787412E-6] HORNER + 4 -1 roll SIN mul 3 -1 roll mul neg add mul exch dup abs Div mul} + ifelse} bind def +% +/BESSEL_Y1 {dup 8 lt { + dup dup dup mul dup [-.4900604943E13 .1275274390E13 -.5153428139E11 .7349264551E9 -.4237922726E7 .8511937935E4] HORNER + exch [.2499580570E14 .4244419664E12 .3733650367E10 .2245904002E8 .1020426050E6 .3549632885E3 1] HORNER + Div mul exch dup dup ln exch BESSEL_J1 mul exch 1 exch div sub .636619772 mul add} + {dup .636619772 exch div sqrt exch dup 2.356194491 sub exch 8 exch div dup dup mul dup + [1 .183105E-2 -.3516396496E-4 .2457520174E-5 -.240337019E-6] HORNER + 3 index SIN mul + exch [.04687499995 -.2002690873E-3 .8449199096E-5 6.88228987E-6 .105787412E-6] HORNER + 4 -1 roll COS mul 3 -1 roll mul add mul} + ifelse} bind def +% +% En cours... +/BESSEL_Yn {dup 0 eq {pop BESSEL_Y0}{dup 1 eq {pop BESSEL_Y1}{ + exch dup BESSEL_Y0 exch dup BESSEL_Y1 exch 2 exch Div { + mul 3 -1 roll mul 2 index sub pstack} for + } ifelse } ifelse } bind def +% +/SIMPSON { 1 dict begin %% on stack a b var f ierr Dominik Rodriguez + 3 index 5 index sub % compute h + 1 % a b var f ierr h n + 4 index 7 index def 3 index exec % a b var f ierr h n f(a) + 5 index 7 index def 4 index exec add % a b var f ierr h n f(a)+f(b) + 5 index 8 index 4 index 2 div add def 4 index exec % a b var f ierr h n f(a)+f(b) f(a+h/2) + exch 1 index 4 mul add 0 % a b var f ierr h n old=f(a+h/2) Estim=f(a)+f(b)+4f(a+h/2) NbLoop + { % a b var f ierr h n old Estim NbLoop + 5 -1 roll 2 div dup 6 1 roll % h<-h/2 + 5 -1 roll 2 mul 5 1 roll % n<-2n + % a b var f ierr h n old Estim NbLoop h + 2 div 10 index add 0 % a b var f ierr h n old Estim NbLoop a+h/2 Cumul + 5 index { + 1 index 10 index exch def 8 index exec add exch 6 index add exch + } repeat % a b var f ierr h n old Estim NbLoop a+nh/2 Cumul + exch pop % a b var f ierr h n old Estim NbLoop New + 2 index 1 index 4 mul 6 -1 roll 2 mul sub sub % a b var f ierr h n Estim NbLoop New Diff + 4 -1 roll 2 mul 1 index sub 4 1 roll % a b var f ierr h n Estim NbLoop New Diff + exch 4 1 roll % a b var f ierr h n old Estim NbLoop Diff + 5 index 6 div mul abs 6 index lt { exit } if + 1 add dup 9 eq { exit } if + } loop % a b var f ierr h n old Estim NbLoop + exch 5 -1 roll 6 div mul mark 10 2 roll cleartomark +end +} def +% ------------------------------------ math stuff ---------------------------------- +% +% Matrix A in arrays of rows A[[row1][row2]...] +% with [row1]=[a11 a12 ... b1] +% returns on stack solution vector X=[x1 x2 ... xn] +/SolveLinEqSystem { % on stack matrix M=[A,b] (A*x=b) + 10 dict begin % hold all ocal + /A exch def + /Rows A length def % Rows = number of rows + /Cols A 0 get length def % Cols = number of columns + /Index [ 0 1 Rows 1 sub { } for ] def % Index = [0 1 2 ... Rows-1] + /col 0 def + /row 0 def + /PR Rows array def % PR[c] = pivot row for row row + { % starts the loop, find pivot entry in row r + col Cols ge row Rows ge or { exit } if % col < Cols and row < Rows else exit + /pRow row def % pRow = pivot row + /max A row get col get abs def % get A[row[col]], first A[0,0] + row 1 add 1 Rows 1 sub { % starts for loop 1 1 Rows-1 + /j exch def % index counter + /x A j get col get abs def % get A[j[r]] + x max gt { % x>max, then save position + /pRow j def + /max x def + } if + } for % now we have the row with biggest A[0,1] + % with pRow = the pivot row + max 0 gt { % swap entries pRow and row in i + /tmp Index row get def + Index row Index pRow get put + Index pRow tmp put % and columns pRow and row in A + /tmp A row get def + A row A pRow get put + A pRow tmp put % pivot + /row0 A row get def % the pivoting row + /p0 row0 col get def % the pivot value + row 1 add 1 Rows 1 sub { % start for loop + /j exch def + /c1 A j get def + /p c1 col get p0 div def + c1 col p put % subtract (p1/p0)*row[i] from row[j] + col 1 add 1 Cols 1 sub { % start for loop + /i exch def + c1 dup i exch % c1 i c1 + i get row0 i get p mul sub put + } for + } for + PR row col put + /col col 1 add def + /row row 1 add def + }{ % all zero entries + /row row 1 add def % continue loop with same row + } ifelse + } loop + /X A def % solution vector + A Rows 1 sub get dup + Cols 1 sub get exch + Cols 2 sub get div + X Rows 1 sub 3 -1 roll put % X[n] + Rows 2 sub -1 0 { % for loop to calculate X[i] + /xi exch def % current index + A xi get % i-th row + /Axi exch def + /sum 0 def + Cols 2 sub -1 xi 1 add { + /n exch def + /sum sum Axi n get X n get mul add def + } for + Axi Cols 1 sub get % b=Axi[Cols-1] + sum sub % b-sum + Axi xi get div % b-sum / Axi[xi] + X xi 3 -1 roll put % X[xi] + } for + X + end +} def +% +/c@_0 2.515517 def +/c@_1 0.802853 def +/c@_2 0.010328 def +/d@_1 1.432788 def +/d@_2 0.189269 def +/d@_3 0.001308 def +/norminv { + 5 dict begin + neg 1 add 1 exch div ln 2 mul sqrt + /t exch def + /t2 t dup mul def + /t3 t2 t mul def + c@_0 c@_1 t mul add c@_2 t2 mul add 1 d@_1 t mul add + d@_2 t2 mul add d@_3 t3 mul add div neg t add + end +} def +%end{norminv Michael Sharpe} +% +% +% END pst-math.pro + +%%EndProcSet +%%BeginProcSet: pstricks-add.pro 0 0 +%% $Id: pstricks-add.pro 328 2010-05-24 15:56:43Z herbert $ +% PostScript prologue for pstricks-add.tex. +% Version 0.23, 2009/12/17 +% +/tx@addDict 410 dict def tx@addDict begin +%% +realtime srand % set random generator +% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +/GTriangle { + gsave + /mtrx CM def + /colorA ED /colorB ED /colorC ED % save the colors + /yA ED /xA ED % save the origin + xA yA translate + rotate % \psk@gangle + /yB ED /xB ED /yC ED /xC ED % save other coordinates + /ds [ % save data in a array + 0 0 0 colorA aload pop % fd x y xr xg xb + 0 xB xA sub yB yA sub colorB aload pop + 0 xC xA sub yC yA sub colorC aload pop +% 1 xC xB add yB colorA aload pop % for use with 4 points ABCD + ] def + newpath + << + /ShadingType 4 % single Gouraud + /ColorSpace [ /DeviceRGB ] + /DataSource ds + >> + shfill + closepath + mtrx + setmatrix grestore} def +% +/RGBtoCMYK { % on stack r g b -> C M Y K + 3 dict begin + /Blue ED /Green ED /Red ED + 1 Red sub % Cyan + 1 Green sub % Magenta + 1 Blue sub % Yellow + 0 % Black + end +} def +% +/CMYKtoGRAY { % on stack c m y k -> gray + exch 0.11 mul add + exch 0.59 mul add + exch 0.3 mul add + dup 1 gt { pop 1 } if + neg 1 add +} def +% +/RGBtoGRAY { % on stack r g b -> gray + 0.11 mul + exch 0.59 mul add + exch 0.3 mul add +} def +% +/HSBtoGRAY { + 6 dict begin + /b exch def + /s exch def 6 mul dup cvi dup + /i exch def sub + /f exch def + /F [[0 1 f sub 1][f 0 1][1 0 1 f sub][1 f 0][1 f sub 1 0][0 1 f][0 1 1]] def + F i get { s mul neg 1 add b mul} forall + 0.11 mul + exch 0.59 mul add + exch 0.3 mul add + end +} def +% +%% convertisseur longueur d'onde ->R,G,B Manuel Luque +%% lambda max=780 nanometres +%% lambda min=380 nanometres +%% adaptation de : +%% http://www.physics.sfasu.edu/astro/color.html +%% www.efg2.com/lab +% +/Gamma 0.8 def +/calculateRGB { + lambda 379 le {/Red 0 def /Green 0 def /Blue 0 def} if + lambda 781 ge {/Red 0 def /Green 0 def /Blue 0 def} if + lambda 380 ge {lambda 439 le { + /R {lambda 440 sub neg 440 380 sub div} def + /Red R factor mul Gamma exp def + /G 0 def + /Green G factor mul Gamma exp def + /B 1 def + /Blue B factor mul Gamma exp def} if + } if + lambda 440 ge { lambda 489 le { + /G {lambda 440 sub 490 440 sub div} def + /Green G factor mul Gamma exp def + /R 0 def /Red 0 def + /B 1 def + /Blue B factor mul Gamma exp def } if + } if + lambda 490 ge {lambda 509 le { + /B {lambda 510 sub neg 510 490 sub div} def + /Blue B factor mul Gamma exp def + /R 0 def /Red 0 def + /G 1 def + /Green G factor mul Gamma exp def } if + } if + lambda 510 ge {lambda 579 le { + /R {lambda 510 sub 580 510 sub div } def + /Red R factor mul Gamma exp def + /Blue 0 def + /G 1 def + /Green G factor mul Gamma exp def } if + } if + lambda 580 ge {lambda 644 le { + /G {lambda 645 sub neg 645 580 sub div } def + /Green G factor mul Gamma exp def + /Blue 0 def + /R 1 def + /Red R factor mul Gamma exp def } if + } if + lambda 645 ge { lambda 780 le { + /Red 1 factor mul Gamma exp def + /Blue 0 def + /Green 0 def } if + } if +} def +% +/factor { + lambda 380 ge {lambda 419 le { 0.3 0.7 lambda 380 sub mul 420 380 sub div add} if } if + lambda 420 ge {lambda 700 le { 1 } if } if + lambda 701 ge {lambda 780 le { 0.3 0.7 780 lambda sub mul 780 700 sub div add} if } if +} def +% +/wavelengthToRGB { % the wavelength in nm must be on top of the stack + cvi /lambda exch def % no floating point here + calculateRGB +} def % now the colors are saved in Red Green Blue +% +/wavelengthToGRAY { % the wavelength in nm must be on top of the stack + cvi /lambda exch def % no floating point here + calculateRGB + Red Green Blue RGBtoGRAY +} def % now the gray color is on the stack +% +/wavelengthToCMYK { % the wavelength in nm must be on top of the stack + cvi /lambda exch def % no floating point here + gsave + calculateRGB Red Green Blue RGBtoCMYK + /Black ED /Yellow ED /Magenta ED /Cyan ED + grestore +} def % now the colors are saved in Cyan Magenta Yellow Black +% +/axfill { + 8 dict begin + /xw exch def /nl exch def + /C1 exch def /y1 exch def/x1 exch def + /C0 exch def /y0 exch def/x0 exch def + << /ShadingType 2 + /ColorSpace /DeviceRGB + /Coords [ x0 y0 x1 y1 ] + /EmulatorHints [ xw 2 div dup ] + /Function << + /FunctionType 2 + /Domain [0 1] + /C0 C0 + /C1 C1 + /N 1 + >> + >> shfill + end +} bind def +% +%/amplHand {.8} def +%/dtHand 2 def +/varHand { rand sin amplHand mul add } def +/MovetoByHand { moveto } def +%/MovetoByHand { /y0 ED /x0 ED x0 y0 moveto } def +/LinetoByHand { 4 dict begin + /y1 ED /x1 ED + currentpoint /y0 ED /x0 ED + x0 x1 sub dup mul y0 y1 sub dup mul add sqrt /dEnd ED + 0 dtHand dEnd { dup + x1 x0 sub mul dEnd div x0 add varHand exch + y1 y0 sub mul dEnd div y0 add varHand lineto + } for +% /x0 x1 def /y0 y1 def + end +} def +% +end +% +% END pstricks-add.pro + +%%EndProcSet +%%BeginProcSet: OpenLine.pro 0 0 +%%%%%%%%%%%%%%%%%%%%%%%%%% OpenLine %%%%%%%%%%%%%%%%%%%%%%%% +% copy of /Line +% removed possibility to plot arrows +/OpenLine { + NArray + n 0 eq not + { n 1 eq + { 0 0 /n 2 def } if + /n n 1 sub def % last point in stack is first point from plot (to plot closed curves) + n { moveto 2 copy Lineto } repeat + pop pop % remove first point from stack + } if +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%%EndProcSet +%%BeginProcSet: lm-ec.enc 0 0 +% This file belongs to the Latin Modern package. The work is released +% under the GUST Font License. See the MANIFEST-Latin-Modern.txt and +% README-Latin-Modern.txt files for the details. For the most recent version of +% this license see http://www.gust.org.pl/fonts/licenses/GUST-FONT-LICENSE.txt +% or http://tug.org/fonts/licenses/GUST-FONT-LICENSE.txt + +/enclmec[ +/grave +/acute +/circumflex +/tilde +/dieresis +/hungarumlaut +/ring +/caron +/breve +/macron +/dotaccent +/cedilla +/ogonek +/quotesinglbase +/guilsinglleft +/guilsinglright +/quotedblleft +/quotedblright +/quotedblbase +/guillemotleft +/guillemotright +/endash +/emdash +/cwm +/perthousandzero +/dotlessi +/dotlessj +/ff +/fi +/fl +/ffi +/ffl +/uni2423 +/exclam +/quotedbl +/numbersign +/dollar +/percent +/ampersand +/quoteright +/parenleft +/parenright +/asterisk +/plus +/comma +/hyphen +/period +/slash +/zero +/one +/two +/three +/four +/five +/six +/seven +/eight +/nine +/colon +/semicolon +/less +/equal +/greater +/question +/at +/A +/B +/C +/D +/E +/F +/G +/H +/I +/J +/K +/L +/M +/N +/O +/P +/Q +/R +/S +/T +/U +/V +/W +/X +/Y +/Z +/bracketleft +/backslash +/bracketright +/asciicircum +/underscore 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CLW mul add dup 1.4 mul exch 0.4 mul +neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED /Alpha +y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength mul add +y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy /y1 ED /x1 +ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 sub Atan +def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos ArrowPos +dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin ArrowPos +mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def /dArrowPos +1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add y2 y1 sub +ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse pop pop Lineto +} repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat } ifelse CP 4 +2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray 1. .setopacityalpha + 0 setlinejoin 0 setlinecap stroke grestore end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 1000 -12.500000000000000000 add 750.00 +0.07114 mul exch 0.18335 mul exch 183.34961 53.35236 /Lineto /lineto +load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n +2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 +mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED +/Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.75 SLW 0.5 setgray /ArrowA { moveto } def +/ArrowB { } def /ArrowInside { } def [ 183.34961 71.13647 0.0 71.13647 + /Lineto /lineto load def 0 setlinejoin false NArray n 0 eq not +{ n 1 eq { 0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add dup +1.4 mul exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 +ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha +cos arrowlength mul add y1 Alpha sin arrowlength mul add /n n 1 sub +def n { 4 copy /y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha +y2 y1 sub x2 x1 sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs +def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x1 Alpha cos ArrowPos +mul add y1 Alpha sin ArrowPos mul add ArrowInside pop pop } repeat +}{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } +ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x2 x1 sub +ArrowPos mul x1 add y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop +} repeat } ifelse pop pop Lineto } repeat }{ ArrowA /n n 2 sub def +n { Lineto } repeat } ifelse CP 4 2 roll ArrowB L pop pop } if gsave +0.75 SLW 0.5 setgray 1. .setopacityalpha 3.0 0 0 add DotLine +grestore end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 0 -12.500000000000000000 sub 1000.00 +0.07114 mul exch 0.18335 mul exch 0.0 71.13647 /Lineto /lineto load +def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n 2 def +} if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 mul +neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED /Alpha +y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength mul add +y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy /y1 ED /x1 +ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 sub Atan +def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos ArrowPos +dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin ArrowPos +mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def /dArrowPos +1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add y2 y1 sub +ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse pop pop Lineto +} repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat } ifelse CP 4 +2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray 1. .setopacityalpha + 0 setlinejoin 0 setlinecap stroke grestore end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 1000 -12.500000000000000000 add 1000.00 +0.07114 mul exch 0.18335 mul exch 183.34961 71.13647 /Lineto /lineto +load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n +2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 +mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED +/Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.75 SLW 0.5 setgray /ArrowA { moveto } def +/ArrowB { } def /ArrowInside { } def [ 183.34961 0.0 0.0 0.0 /Lineto +/lineto load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { +0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul +exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 +ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.75 SLW 0.5 setgray + 1. .setopacityalpha 3.0 0 0 add DotLine grestore end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 0 -12.500000000000000000 sub 0.00 0.07114 +mul exch 0.18335 mul exch 0.0 0.0 /Lineto /lineto load def 0 setlinejoin +false NArray n 0 eq not { n 1 eq { 0 0 /n 2 def } if () length 0 gt +{ 1.5 2. CLW mul add dup 1.4 mul exch 0.4 mul neg add /arrowlength +exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 +sub Atan def ArrowA x1 Alpha cos arrowlength mul add y1 Alpha sin arrowlength +mul add /n n 1 sub def n { 4 copy /y1 ED /x1 ED /y2 ED /x2 ED x1 y1 +0.5 1 gt { /Alpha y2 y1 sub x2 x1 sub Atan def /ArrowPos 0. def /dArrowPos +0.5 abs def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x1 Alpha +cos ArrowPos mul add y1 Alpha sin ArrowPos mul add ArrowInside pop +pop } repeat }{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add +div }{0.5 } ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def +x2 x1 sub ArrowPos mul x1 add y2 y1 sub ArrowPos mul y1 add ArrowInside +pop pop } repeat } ifelse pop pop Lineto } repeat }{ ArrowA /n n 2 +sub def n { Lineto } repeat } ifelse CP 4 2 roll ArrowB L pop pop } +if gsave 0.5 SLW 0 setgray 1. .setopacityalpha 0 setlinejoin +0 setlinecap stroke grestore end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 1000 -12.500000000000000000 add 0.00 +0.07114 mul exch 0.18335 mul exch 183.34961 0.0 /Lineto /lineto +load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n +2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 +mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED +/Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { BeginArrow 1. 1. scale 2 setlinecap +0 0 moveto 0 0.1 L stroke 0 0 moveto EndArrow moveto } def /ArrowB +{ BeginArrow 1. 1. scale 2 setlinecap 0 0 moveto 0 0.1 L stroke 0 +0 moveto EndArrow } def /ArrowInside { } def 0.8 SLW 0 setgray + /ArrowA { BeginArrow 1. 1. scale 2 setlinecap 0 0 moveto 0 0.1 L +stroke 0 0 moveto EndArrow moveto } def /ArrowB { BeginArrow 1. +1. scale 2 setlinecap 0 0 moveto 0 0.1 L stroke 0 0 moveto EndArrow + } def /ArrowInside { } def [ 0.0 71.13647 0.0 0.0 /Lineto /lineto +load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n +2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 +mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED +/Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.8 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { BeginArrow 1. 1. scale 2 setlinecap +0 0 moveto 0 0.1 L stroke 0 0 moveto EndArrow moveto } def /ArrowB +{ BeginArrow 1. 1. scale 2 setlinecap 0 0 moveto 0 0.1 L stroke 0 +0 moveto EndArrow } def /ArrowInside { } def 0.8 SLW 0 setgray + /ArrowA { BeginArrow 1. 1. scale 2 setlinecap 0 0 moveto 0 0.1 L +stroke 0 0 moveto EndArrow moveto } def /ArrowB { BeginArrow 1. +1. scale 2 setlinecap 0 0 moveto 0 0.1 L stroke 0 0 moveto EndArrow + } def /ArrowInside { } def [ 183.34961 71.13647 183.34961 0.0 +/Lineto /lineto load def 0 setlinejoin false NArray n 0 eq not { +n 1 eq { 0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add dup +1.4 mul exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 +ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha +cos arrowlength mul add y1 Alpha sin arrowlength mul add /n n 1 sub +def n { 4 copy /y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha +y2 y1 sub x2 x1 sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs +def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x1 Alpha cos ArrowPos +mul add y1 Alpha sin ArrowPos mul add ArrowInside pop pop } repeat +}{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } +ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x2 x1 sub +ArrowPos mul x1 add y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop +} repeat } ifelse pop pop Lineto } repeat }{ ArrowA /n n 2 sub def +n { Lineto } repeat } ifelse CP 4 2 roll ArrowB L pop pop } if gsave +0.8 SLW 0 setgray 1. .setopacityalpha 0 setlinejoin 0 setlinecap +stroke grestore end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.75 SLW 0.5 setgray /ArrowA { moveto } def +/ArrowB { } def /ArrowInside { } def [ 21.83327 71.13647 21.83327 +0.0 /Lineto /lineto load def 0 setlinejoin false NArray n 0 eq +not { n 1 eq { 0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add +dup 1.4 mul exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 +ED /x1 ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA +x1 Alpha cos arrowlength mul add y1 Alpha sin arrowlength mul add /n +n 1 sub def n { 4 copy /y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt +{ /Alpha y2 y1 sub x2 x1 sub Atan def /ArrowPos 0. def /dArrowPos +0.5 abs def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x1 Alpha +cos ArrowPos mul add y1 Alpha sin ArrowPos mul add ArrowInside pop +pop } repeat }{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add +div }{0.5 } ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def +x2 x1 sub ArrowPos mul x1 add y2 y1 sub ArrowPos mul y1 add ArrowInside +pop pop } repeat } ifelse pop pop Lineto } repeat }{ ArrowA /n n 2 +sub def n { Lineto } repeat } ifelse CP 4 2 roll ArrowB L pop pop } +if gsave 0.75 SLW 0.5 setgray 1. .setopacityalpha 3.0 0 0 add + DotLine grestore end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 119.08 0 -40.000000000000000000 sub +0.07114 mul exch 0.18335 mul exch 21.83327 0.0 /Lineto /lineto load +def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n 2 def +} if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 mul +neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED /Alpha +y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength mul add +y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy /y1 ED /x1 +ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 sub Atan +def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos ArrowPos +dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin ArrowPos +mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def /dArrowPos +1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add y2 y1 sub +ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse pop pop Lineto +} repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat } ifelse CP 4 +2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray 1. .setopacityalpha + 0 setlinejoin 0 setlinecap stroke grestore end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 119.08 1000 -40.000000000000000000 +add 0.07114 mul exch 0.18335 mul exch 21.83327 71.13647 /Lineto +/lineto load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { +0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul +exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 +ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.75 SLW 0.5 setgray /ArrowA { moveto } def +/ArrowB { } def /ArrowInside { } def [ 43.66653 71.13647 43.66653 +0.0 /Lineto /lineto load def 0 setlinejoin false NArray n 0 eq +not { n 1 eq { 0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add +dup 1.4 mul exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 +ED /x1 ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA +x1 Alpha cos arrowlength mul add y1 Alpha sin arrowlength mul add /n +n 1 sub def n { 4 copy /y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt +{ /Alpha y2 y1 sub x2 x1 sub Atan def /ArrowPos 0. def /dArrowPos +0.5 abs def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x1 Alpha +cos ArrowPos mul add y1 Alpha sin ArrowPos mul add ArrowInside pop +pop } repeat }{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add +div }{0.5 } ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def +x2 x1 sub ArrowPos mul x1 add y2 y1 sub ArrowPos mul y1 add ArrowInside +pop pop } repeat } ifelse pop pop Lineto } repeat }{ ArrowA /n n 2 +sub def n { Lineto } repeat } ifelse CP 4 2 roll ArrowB L pop pop } +if gsave 0.75 SLW 0.5 setgray 1. .setopacityalpha 3.0 0 0 add + DotLine grestore end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 238.16 0 -40.000000000000000000 sub +0.07114 mul exch 0.18335 mul exch 43.66653 0.0 /Lineto /lineto load +def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n 2 def +} if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 mul +neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED /Alpha +y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength mul add +y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy /y1 ED /x1 +ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 sub Atan +def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos ArrowPos +dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin ArrowPos +mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def /dArrowPos +1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add y2 y1 sub +ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse pop pop Lineto +} repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat } ifelse CP 4 +2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray 1. .setopacityalpha + 0 setlinejoin 0 setlinecap stroke grestore end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 238.16 1000 -40.000000000000000000 +add 0.07114 mul exch 0.18335 mul exch 43.66653 71.13647 /Lineto +/lineto load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { +0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul +exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 +ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.75 SLW 0.5 setgray /ArrowA { moveto } def +/ArrowB { } def /ArrowInside { } def [ 65.4998 71.13647 65.4998 0.0 + /Lineto /lineto load def 0 setlinejoin false NArray n 0 eq not +{ n 1 eq { 0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add dup +1.4 mul exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 +ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha +cos arrowlength mul add y1 Alpha sin arrowlength mul add /n n 1 sub +def n { 4 copy /y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha +y2 y1 sub x2 x1 sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs +def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x1 Alpha cos ArrowPos +mul add y1 Alpha sin ArrowPos mul add ArrowInside pop pop } repeat +}{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } +ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x2 x1 sub +ArrowPos mul x1 add y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop +} repeat } ifelse pop pop Lineto } repeat }{ ArrowA /n n 2 sub def +n { Lineto } repeat } ifelse CP 4 2 roll ArrowB L pop pop } if gsave +0.75 SLW 0.5 setgray 1. .setopacityalpha 3.0 0 0 add DotLine +grestore end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 357.24 0 -40.000000000000000000 sub +0.07114 mul exch 0.18335 mul exch 65.4998 0.0 /Lineto /lineto load +def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n 2 def +} if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 mul +neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED /Alpha +y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength mul add +y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy /y1 ED /x1 +ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 sub Atan +def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos ArrowPos +dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin ArrowPos +mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def /dArrowPos +1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add y2 y1 sub +ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse pop pop Lineto +} repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat } ifelse CP 4 +2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray 1. .setopacityalpha + 0 setlinejoin 0 setlinecap stroke grestore end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 357.24 1000 -40.000000000000000000 +add 0.07114 mul exch 0.18335 mul exch 65.4998 71.13647 /Lineto /lineto +load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n +2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 +mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED +/Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.75 SLW 0.5 setgray /ArrowA { moveto } def +/ArrowB { } def /ArrowInside { } def [ 87.33308 71.13647 87.33308 +0.0 /Lineto /lineto load def 0 setlinejoin false NArray n 0 eq +not { n 1 eq { 0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add +dup 1.4 mul exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 +ED /x1 ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA +x1 Alpha cos arrowlength mul add y1 Alpha sin arrowlength mul add /n +n 1 sub def n { 4 copy /y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt +{ /Alpha y2 y1 sub x2 x1 sub Atan def /ArrowPos 0. def /dArrowPos +0.5 abs def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x1 Alpha +cos ArrowPos mul add y1 Alpha sin ArrowPos mul add ArrowInside pop +pop } repeat }{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add +div }{0.5 } ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def +x2 x1 sub ArrowPos mul x1 add y2 y1 sub ArrowPos mul y1 add ArrowInside +pop pop } repeat } ifelse pop pop Lineto } repeat }{ ArrowA /n n 2 +sub def n { Lineto } repeat } ifelse CP 4 2 roll ArrowB L pop pop } +if gsave 0.75 SLW 0.5 setgray 1. .setopacityalpha 3.0 0 0 add + DotLine grestore end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 476.32 0 -40.000000000000000000 sub +0.07114 mul exch 0.18335 mul exch 87.33308 0.0 /Lineto /lineto load +def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n 2 def +} if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 mul +neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED /Alpha +y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength mul add +y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy /y1 ED /x1 +ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 sub Atan +def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos ArrowPos +dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin ArrowPos +mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def /dArrowPos +1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add y2 y1 sub +ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse pop pop Lineto +} repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat } ifelse CP 4 +2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray 1. .setopacityalpha + 0 setlinejoin 0 setlinecap stroke grestore end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 476.32 1000 -40.000000000000000000 +add 0.07114 mul exch 0.18335 mul exch 87.33308 71.13647 /Lineto +/lineto load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { +0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul +exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 +ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.75 SLW 0.5 setgray /ArrowA { moveto } def +/ArrowB { } def /ArrowInside { } def [ 109.16635 71.13647 109.16635 +0.0 /Lineto /lineto load def 0 setlinejoin false NArray n 0 eq +not { n 1 eq { 0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add +dup 1.4 mul exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 +ED /x1 ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA +x1 Alpha cos arrowlength mul add y1 Alpha sin arrowlength mul add /n +n 1 sub def n { 4 copy /y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt +{ /Alpha y2 y1 sub x2 x1 sub Atan def /ArrowPos 0. def /dArrowPos +0.5 abs def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x1 Alpha +cos ArrowPos mul add y1 Alpha sin ArrowPos mul add ArrowInside pop +pop } repeat }{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add +div }{0.5 } ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def +x2 x1 sub ArrowPos mul x1 add y2 y1 sub ArrowPos mul y1 add ArrowInside +pop pop } repeat } ifelse pop pop Lineto } repeat }{ ArrowA /n n 2 +sub def n { Lineto } repeat } ifelse CP 4 2 roll ArrowB L pop pop } +if gsave 0.75 SLW 0.5 setgray 1. .setopacityalpha 3.0 0 0 add + DotLine grestore end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 595.40 0 -40.000000000000000000 sub +0.07114 mul exch 0.18335 mul exch 109.16635 0.0 /Lineto /lineto +load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n +2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 +mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED +/Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 595.40 1000 -40.000000000000000000 +add 0.07114 mul exch 0.18335 mul exch 109.16635 71.13647 /Lineto +/lineto load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { +0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul +exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 +ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.75 SLW 0.5 setgray /ArrowA { moveto } def +/ArrowB { } def /ArrowInside { } def [ 130.99962 71.13647 130.99962 +0.0 /Lineto /lineto load def 0 setlinejoin false NArray n 0 eq +not { n 1 eq { 0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add +dup 1.4 mul exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 +ED /x1 ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA +x1 Alpha cos arrowlength mul add y1 Alpha sin arrowlength mul add /n +n 1 sub def n { 4 copy /y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt +{ /Alpha y2 y1 sub x2 x1 sub Atan def /ArrowPos 0. def /dArrowPos +0.5 abs def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x1 Alpha +cos ArrowPos mul add y1 Alpha sin ArrowPos mul add ArrowInside pop +pop } repeat }{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add +div }{0.5 } ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def +x2 x1 sub ArrowPos mul x1 add y2 y1 sub ArrowPos mul y1 add ArrowInside +pop pop } repeat } ifelse pop pop Lineto } repeat }{ ArrowA /n n 2 +sub def n { Lineto } repeat } ifelse CP 4 2 roll ArrowB L pop pop } +if gsave 0.75 SLW 0.5 setgray 1. .setopacityalpha 3.0 0 0 add + DotLine grestore end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 714.48 0 -40.000000000000000000 sub +0.07114 mul exch 0.18335 mul exch 130.99962 0.0 /Lineto /lineto +load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n +2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 +mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED +/Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 714.48 1000 -40.000000000000000000 +add 0.07114 mul exch 0.18335 mul exch 130.99962 71.13647 /Lineto +/lineto load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { +0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul +exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 +ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.75 SLW 0.5 setgray /ArrowA { moveto } def +/ArrowB { } def /ArrowInside { } def [ 152.83289 71.13647 152.83289 +0.0 /Lineto /lineto load def 0 setlinejoin false NArray n 0 eq +not { n 1 eq { 0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add +dup 1.4 mul exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 +ED /x1 ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA +x1 Alpha cos arrowlength mul add y1 Alpha sin arrowlength mul add /n +n 1 sub def n { 4 copy /y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt +{ /Alpha y2 y1 sub x2 x1 sub Atan def /ArrowPos 0. def /dArrowPos +0.5 abs def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x1 Alpha +cos ArrowPos mul add y1 Alpha sin ArrowPos mul add ArrowInside pop +pop } repeat }{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add +div }{0.5 } ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def +x2 x1 sub ArrowPos mul x1 add y2 y1 sub ArrowPos mul y1 add ArrowInside +pop pop } repeat } ifelse pop pop Lineto } repeat }{ ArrowA /n n 2 +sub def n { Lineto } repeat } ifelse CP 4 2 roll ArrowB L pop pop } +if gsave 0.75 SLW 0.5 setgray 1. .setopacityalpha 3.0 0 0 add + DotLine grestore end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 833.56 0 -40.000000000000000000 sub +0.07114 mul exch 0.18335 mul exch 152.83289 0.0 /Lineto /lineto +load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n +2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 +mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED +/Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 833.56 1000 -40.000000000000000000 +add 0.07114 mul exch 0.18335 mul exch 152.83289 71.13647 /Lineto +/lineto load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { +0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul +exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 +ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.75 SLW 0.5 setgray /ArrowA { moveto } def +/ArrowB { } def /ArrowInside { } def [ 174.66617 71.13647 174.66617 +0.0 /Lineto /lineto load def 0 setlinejoin false NArray n 0 eq +not { n 1 eq { 0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add +dup 1.4 mul exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 +ED /x1 ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA +x1 Alpha cos arrowlength mul add y1 Alpha sin arrowlength mul add /n +n 1 sub def n { 4 copy /y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt +{ /Alpha y2 y1 sub x2 x1 sub Atan def /ArrowPos 0. def /dArrowPos +0.5 abs def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x1 Alpha +cos ArrowPos mul add y1 Alpha sin ArrowPos mul add ArrowInside pop +pop } repeat }{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add +div }{0.5 } ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def +x2 x1 sub ArrowPos mul x1 add y2 y1 sub ArrowPos mul y1 add ArrowInside +pop pop } repeat } ifelse pop pop Lineto } repeat }{ ArrowA /n n 2 +sub def n { Lineto } repeat } ifelse CP 4 2 roll ArrowB L pop pop } +if gsave 0.75 SLW 0.5 setgray 1. .setopacityalpha 3.0 0 0 add + DotLine grestore end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 952.64 0 -40.000000000000000000 sub +0.07114 mul exch 0.18335 mul exch 174.66617 0.0 /Lineto /lineto +load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n +2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 +mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED +/Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 952.64 1000 -40.000000000000000000 +add 0.07114 mul exch 0.18335 mul exch 174.66617 71.13647 /Lineto +/lineto load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { +0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul +exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 +ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.75 SLW 0.5 setgray /ArrowA { moveto } def +/ArrowB { } def /ArrowInside { } def [ 0.0 71.13647 0.0 0.0 /Lineto +/lineto load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { +0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul +exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 +ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.75 SLW 0.5 setgray + 1. .setopacityalpha 3.0 0 0 add DotLine grestore end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 0.00 0 -40.000000000000000000 sub 0.07114 +mul exch 0.18335 mul exch 0.0 0.0 /Lineto /lineto load def 0 setlinejoin +false NArray n 0 eq not { n 1 eq { 0 0 /n 2 def } if () length 0 gt +{ 1.5 2. CLW mul add dup 1.4 mul exch 0.4 mul neg add /arrowlength +exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 +sub Atan def ArrowA x1 Alpha cos arrowlength mul add y1 Alpha sin arrowlength +mul add /n n 1 sub def n { 4 copy /y1 ED /x1 ED /y2 ED /x2 ED x1 y1 +0.5 1 gt { /Alpha y2 y1 sub x2 x1 sub Atan def /ArrowPos 0. def /dArrowPos +0.5 abs def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x1 Alpha +cos ArrowPos mul add y1 Alpha sin ArrowPos mul add ArrowInside pop +pop } repeat }{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add +div }{0.5 } ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def +x2 x1 sub ArrowPos mul x1 add y2 y1 sub ArrowPos mul y1 add ArrowInside +pop pop } repeat } ifelse pop pop Lineto } repeat }{ ArrowA /n n 2 +sub def n { Lineto } repeat } ifelse CP 4 2 roll ArrowB L pop pop } +if gsave 0.5 SLW 0 setgray 1. .setopacityalpha 0 setlinejoin +0 setlinecap stroke grestore end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 0.00 1000 -40.000000000000000000 add +0.07114 mul exch 0.18335 mul exch 0.0 71.13647 /Lineto /lineto load +def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n 2 def +} if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 mul +neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED /Alpha +y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength mul add +y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy /y1 ED /x1 +ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 sub Atan +def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos ArrowPos +dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin ArrowPos +mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def /dArrowPos +1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add y2 y1 sub +ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse pop pop Lineto +} repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat } ifelse CP 4 +2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray 1. .setopacityalpha + 0 setlinejoin 0 setlinecap stroke grestore end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { BeginArrow 1. 1. scale 2 setlinecap +0 0 moveto 0 0.1 L stroke 0 0 moveto EndArrow moveto } def /ArrowB +{ BeginArrow 1. 1. scale 2 setlinecap 0 0 moveto 0 0.1 L stroke 0 +0 moveto EndArrow } def /ArrowInside { } def 0.8 SLW 0 setgray + /ArrowA { BeginArrow 1. 1. scale 2 setlinecap 0 0 moveto 0 0.1 L +stroke 0 0 moveto EndArrow moveto } def /ArrowB { BeginArrow 1. +1. scale 2 setlinecap 0 0 moveto 0 0.1 L stroke 0 0 moveto EndArrow + } def /ArrowInside { } def [ 183.34961 0.0 0.0 0.0 /Lineto /lineto +load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n +2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 +mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED +/Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.8 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial 6710 6778 a +tx@Dict begin gsave STV CP T /ps@rot 0 0 add def grestore end + 6710 6778 a 6710 +6778 a +tx@Dict begin { 1000.000000000000000000 0.5 mul 0 add 0 0.07114 mul +exch 0.18335 mul exch } PutCoor PutBegin end + 6710 6778 a 6710 6778 a +tx@Dict begin ps@rot RotBegin end + 6710 6778 a 4420 10143 +a Fa(linejoin=0)6710 6778 y +tx@Dict begin RotEnd end + 6710 6778 a 6710 6778 a +tx@Dict begin PutEnd end + 6710 +6778 a @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { BeginArrow 1. 1. scale 2 setlinecap +0 0 moveto 0 0.1 L stroke 0 0 moveto EndArrow moveto } def /ArrowB +{ BeginArrow 1. 1. scale 2 setlinecap 0 0 moveto 0 0.1 L stroke 0 +0 moveto EndArrow } def /ArrowInside { } def 0.8 SLW 0 setgray + /ArrowA { BeginArrow 1. 1. scale 2 setlinecap 0 0 moveto 0 0.1 L +stroke 0 0 moveto EndArrow moveto } def /ArrowB { BeginArrow 1. +1. scale 2 setlinecap 0 0 moveto 0 0.1 L stroke 0 0 moveto EndArrow + } def /ArrowInside { } def [ 183.34961 71.13647 0.0 71.13647 /Lineto +/lineto load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { +0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul +exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 +ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.8 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP 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/ruleY X /ruleX X + Rx Ry gt + { ruleX ruleY Ry 2 div sub moveto Rx 0 rlineto Ry } + { ruleX Rx 2 div add ruleY moveto 0 Ry neg rlineto Rx } + ifelse + setlinewidth 0 setlinecap stroke grestore +} bind def +end + +%%EndProcSet +%%BeginProcSet: psfrag.pro 0 0 +%% +%% This is file `psfrag.pro', +%% generated with the docstrip utility. +%% +%% The original source files were: +%% +%% psfrag.dtx (with options: `filepro') +%% +%% Copyright (c) 1996 Craig Barratt, Michael C. Grant, and David Carlisle. +%% All rights reserved. +%% +%% This file is part of the PSfrag package. +%% +userdict begin +/PSfragLib 90 dict def +/PSfragDict 6 dict def +/PSfrag { PSfragLib begin load exec end } bind def +end +PSfragLib begin +/RO /readonly load def +/CP /currentpoint load def +/CM /currentmatrix load def +/B { bind RO def } bind def +/X { exch def } B +/MD { { X } forall } B +/OE { end exec PSfragLib begin } B +/S false def +/tstr 8 string def +/islev2 { languagelevel } stopped { false } { 2 ge } ifelse def +[ /sM /tM /srcM /dstM /dM /idM /srcFM /dstFM ] { matrix def } forall +sM currentmatrix RO pop +dM defaultmatrix RO idM invertmatrix RO pop +srcFM identmatrix pop +/Hide { gsave { CP } stopped not newpath clip { moveto } if } B +/Unhide { { CP } stopped not grestore { moveto } if } B +/setrepl islev2 {{ /glob currentglobal def true setglobal array astore + globaldict exch /PSfrags exch put glob setglobal }} + {{ array astore /PSfrags X }} ifelse B +/getrepl islev2 {{ globaldict /PSfrags get aload length }} + {{ PSfrags aload length }} ifelse B +/convert { + /src X src length string + /c 0 def src length { + dup c src c get dup 32 lt { pop 32 } if put /c c 1 add def + } repeat +} B +/Begin { + /saver save def + srcFM exch 3 exch put + 0 ne /debugMode X 0 setrepl + dup /S exch dict def { S 3 1 roll exch convert exch put } repeat + srcM CM dup invertmatrix pop + mark { currentdict { end } stopped { pop exit } if } loop + PSfragDict counttomark { begin } repeat pop +} B +/End { + mark { currentdict end dup PSfragDict eq { pop exit } if } loop + counttomark { begin } repeat pop + getrepl saver restore + 7 idiv dup /S exch dict def { + 6 array astore /mtrx X tstr cvs /K X + S K [ S K known { S K get aload pop } if mtrx ] put + } repeat +} B +/Place { + tstr cvs /K X + S K known { + bind /proc X tM CM pop + CP /cY X /cX X + 0 0 transform idtransform neg /aY X neg /aX X + S K get dup length /maxiter X + /iter 1 def { + iter maxiter ne { /saver save def } if + tM setmatrix aX aY translate + [ exch aload pop idtransform ] concat + cX neg cY neg translate cX cY moveto + /proc load OE + iter maxiter ne { saver restore /iter iter 1 add def } if + } forall + /noXY { CP /cY X /cX X } stopped def + tM setmatrix noXY { newpath } { cX cY moveto } ifelse + } { + Hide OE Unhide + } ifelse +} B +/normalize { + 2 index dup mul 2 index dup mul add sqrt div + dup 4 -1 roll exch mul 3 1 roll mul +} B +/replace { + aload pop MD + CP /bY X /lX X gsave sM setmatrix + str stringwidth abs exch abs add dup 0 eq + { pop } { 360 exch div dup scale } ifelse + lX neg bY neg translate newpath lX bY moveto + str { /ch X ( ) dup 0 ch put false charpath ch Kproc } forall + flattenpath pathbbox [ /uY /uX /lY /lX ] MD + CP grestore moveto + currentfont /FontMatrix get dstFM copy dup + 0 get 0 lt { uX lX /uX X /lX X } if + 3 get 0 lt { uY lY /uY X /lY X } if + /cX uX lX add 0.5 mul def + /cY uY lY add 0.5 mul def + debugMode { gsave 0 setgray 1 setlinewidth + lX lY moveto lX uY lineto uX uY lineto uX lY lineto closepath + lX bY moveto uX bY lineto lX cY moveto uX cY lineto + cX lY moveto cX uY lineto stroke + grestore } if + dstFM dup invertmatrix dstM CM srcM + 2 { dstM concatmatrix } repeat pop + getrepl /temp X + S str convert get { + aload pop [ /rot /scl /loc /K ] MD + /aX cX def /aY cY def + loc { + dup 66 eq { /aY bY def } { % B + dup 98 eq { /aY lY def } { % b + dup 108 eq { /aX lX def } { % l + dup 114 eq { /aX uX def } { % r + dup 116 eq { /aY uY def } % t + if } ifelse } ifelse } ifelse } ifelse pop + } forall + K srcFM rot tM rotate dstM + 2 { tM concatmatrix } repeat aload pop pop pop + 2 { scl normalize 4 2 roll } repeat + aX aY transform + /temp temp 7 add def + } forall + temp setrepl +} B +/Rif { + S 3 index convert known { pop replace } { exch pop OE } ifelse +} B +/XA { bind [ /Kproc /str } B /XC { ] 2 array astore def } B +/xs { pop } XA XC +/xks { /kern load OE } XA /kern XC +/xas { pop ax ay rmoveto } XA /ay /ax XC +/xws { c eq { cx cy rmoveto } if } XA /c /cy /cx XC +/xaws { ax ay rmoveto c eq { cx cy rmoveto } if } + XA /ay /ax /c /cy /cx XC +/raws { xaws { awidthshow } Rif } B +/rws { xws { widthshow } Rif } B +/rks { xks { kshow } Rif } B +/ras { xas { ashow } Rif } B +/rs { xs { show } Rif } B +/rrs { getrepl dup 2 add -1 roll //restore exec setrepl } B +PSfragDict begin +islev2 not { /restore { /rrs PSfrag } B } if +/show { /rs PSfrag } B +/kshow { /rks PSfrag } B +/ashow { /ras PSfrag } B +/widthshow { /rws PSfrag } B +/awidthshow { /raws PSfrag } B +end PSfragDict RO pop +end + +%%EndProcSet +%%BeginProcSet: pstricks.pro 0 0 +% $Id: pstricks.pro 647 2012-02-12 15:03:40Z herbert $ +% +%% PostScript prologue for pstricks.tex. +%% Version 1.12, 2012/02/12 +%% +%% This program can be redistributed and/or modified under the terms +%% of the LaTeX Project Public License Distributed from CTAN archives +%% in directory macros/latex/base/lppl.txt. +% +% +% Define the follwing gs-functions if not known, eg when using distiller +% +systemdict /.setopacityalpha known not {/.setopacityalpha { pop } def } if +systemdict /.setblendmode known not {/.setblendmode { pop } def } if +systemdict /.setshapealpha known not {/.setshapealpha { pop } def } if +% +/tx@Dict 200 dict def % the main PSTricks dictionary +tx@Dict begin +/ADict 25 dict def % The arrow dictionaray +/CM { matrix currentmatrix } bind def +/SLW /setlinewidth load def +/CLW /currentlinewidth load def +/CP /currentpoint load def +/ED { exch def } bind def +/L /lineto load def +/T /translate load def +/TMatrix { } def +/RAngle { 0 } def +/Sqrt { dup 0 lt { pop 0 } { sqrt } ifelse } def % return 0 for negative arguments +/Atan { /atan load stopped { pop pop 0 } if } def % return 0 if atan not known +/ATAN1 {neg -1 atan 180 sub } def % atan(x) (only one parameter) +/Div { dup 0 eq { pop } { div } ifelse } def % control the division +/tan { dup cos abs 1.e-10 lt + { pop 1.e10 } % return 1.e10 as infinit + { dup sin exch cos div } ifelse % default sin/cos +} def +/Tan { dup sin exch cos Div } def % sin(x)/cos(x) x in degrees +/Acos {dup dup mul neg 1 add dup 0 lt { % arc cos, returns 0 when negative root + pop pop 0 }{ sqrt exch atan} ifelse } def +/NET { neg exch neg exch T } def % change coordinate system to the negative one +/Pyth { dup mul exch dup mul add sqrt } def % Pythagoras, expects 2 parameter +/Pyth2 { % Pythagoras, xA yA xB yB + 3 -1 roll % xA xB yB yA + sub % xA xB yB-yA + 3 1 roll % yB-yA xA xB + sub % yB-yA xA-xB + Pyth } def +/PtoC { 2 copy cos mul 3 1 roll sin mul } def % Polar to Cartesian +/Rand { rand 4294967295 div } def % a real random number +%----------------- hv added 20050516 --------------- +/PiDiv2 1.57079632680 def +/Pi 3.14159265359 def +/TwoPi 6.28318530718 def +/Euler 2.71828182846 def +%/e Euler bind def +% +/RadtoDeg { 180 mul Pi div } bind def % convert from radian to degrees +/DegtoRad { Pi mul 180 div } bind def % viceversa +%----------------- hv end--------------------------- +/PathLength@ { /z z y y1 sub x x1 sub Pyth add def /y1 y def /x1 x def } def +% +/PathLength { + flattenpath /z 0 def + { /y1 ED /x1 ED /y2 y1 def /x2 x1 def } + { /y ED /x ED PathLength@ } + {} + { /y y2 def /x x2 def PathLength@ } + /pathforall load stopped { pop pop pop pop } if + z +} def +% +/STP { .996264 dup scale } def % BP/PT scaling +/STV { SDict begin normalscale end STP } def % +% +/DashLine { + dup 0 gt + { /a .5 def PathLength exch div } + { pop /a 1 def PathLength } ifelse + /b ED % pattern should fit evenly in b + dup /X ED % pattern array + 0 get /y ED % length of first black segment + /z 0 X {add} forall def % length of the full pattern + %% Computation of the scaling factor as described by van Zandt: + b a .5 sub 2 mul y mul sub z Div round + z mul a .5 sub 2 mul y mul add b exch Div + %%%% scaling factor on stack. + /z ED %% now, z is the scaling factor + false % for the length test below + X { z mul } forall X astore %% modification TN 04-08-07 + %%% Checking whether at least one dash in X has positive length: + {0 gt or} forall + { X 1 a sub y mul } + { [ 1 0 ] 0 } + ifelse + setdash stroke +} def +% +/DotLine { + /b PathLength def + /a ED /z ED /y CLW def + /z y z add def + a 0 gt { + /b b a div def + }{ + a 0 eq { + /b b y sub def + }{ a -3 eq { + /b b y add def } if + } ifelse + } ifelse + [ 0 b b z Div round Div dup 0 le { pop 1 } if ] + a 0 gt { 0 }{ y 2 div a -2 gt { neg }if } ifelse + setdash 1 setlinecap stroke +} def +% +/SymbolLine { % on stack [ x y x y ... + counttomark % number of elements + 2 div cvi /n ED % n pairs + /YA ED /XA ED % the start point + n 1 sub { + /YB ED /XB ED + /XLength XB XA sub def + /YLength YB YA sub def + /PAngle YLength XLength Atan def + /XYLength XLength YLength Pyth def + + %% for negative SymStep we calculate the distance + SymStep 0 lt + { %XYLength SymStep div abs cvi + /nSym SymStep abs cvi def } + { /nSym XYLength SymStep div cvi def } + ifelse + 0.5 setflat + /Shift Symbol stringwidth pop 2 div def + /deltaX XLength nSym div def + /deltaY YLength nSym div def + curveticks + { XA YA moveto } + { XA Shift sub YA Shift sub moveto } + ifelse + nSym { + gsave + curveticks + { PAngle 180 sub CorrAngle sub tickAngle add /rotAngle ED + currentpoint translate rotAngle rotate + 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto + SymbolLinewidth setlinewidth stroke + } + { + rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if + Symbol show + } + ifelse + grestore + deltaX deltaY rmoveto + } repeat + /YA YB def /XA XB def + } repeat + curveticks + { XA YA moveto } + { XA Shift sub YA Shift sub moveto } + ifelse + gsave + curveticks + { PAngle 180 sub CorrAngle sub tickAngle add /rotAngle ED + XA YA translate rotAngle rotate + 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto + SymbolLinewidth setlinewidth stroke + } + { + rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if + Symbol show + } + ifelse + grestore + pop % delete the mark symbol +} def +% +/LineFill { % hv ------------ patch 7 ------------- + gsave + abs /hatchWidthInc ED + abs /hatchSepInc ED + abs CLW add /a ED + a 0 dtransform round exch round exch + 2 copy idtransform + exch Atan rotate + idtransform pop /a ED + .25 .25 itransform pathbbox + /y2 ED + a Div ceiling cvi /x2 ED /y1 ED + a Div cvi /x1 ED /y2 y2 y1 sub def + clip + newpath + 2 setlinecap + systemdict + /setstrokeadjust known { true setstrokeadjust } if + x2 x1 sub 1 add { + x1 a mul y1 moveto 0 y2 rlineto stroke + /x1 x1 1 add + hatchWidthInc 0 gt { CLW add } if + def + hatchSepInc 0 gt hatchWidthInc 0 gt or { + /a a hatchSepInc add def + CLW hatchWidthInc add SLW + } if + } repeat + grestore + pop pop } def +% +/DotFill {% on stack: dot radius + /dotRadius ED + abs CLW add /a ED + a 0 dtransform round exch round exch + 2 copy idtransform + exch Atan rotate + idtransform pop /a ED + .25 .25 itransform + pathbbox % llx lly urx ury of smallest bounding box + /y2 ED /x2 ED /y1 ED /x1 ED + y2 y1 sub a div 2 add cvi /Ny ED + x2 x1 sub a div 2 add cvi /Nx ED + clip + newpath + /yA y1 dotRadius add CLW add def + /xA0 x1 dotRadius add CLW add def + Ny { + /xA xA0 def + Nx { + newpath + xA yA dotRadius 0 360 arc + SolidDot { gsave fill grestore } if + stroke + xA a add /xA ED + } repeat + yA a add /yA ED + } repeat + grestore +} def +% +/PenroseFill {% on stack: scaling factor + dup dup scale + 1 exch div round /penroseFactor ED + a 0 dtransform round exch round exch + 2 copy idtransform + exch Atan rotate + idtransform pop /a ED + .25 .25 itransform pathbbox + /y2 ED + a Div ceiling cvi /x2 ED /y1 ED + a Div cvi /x1 ED /y2 y2 y1 sub def + clip + newpath + systemdict + /setstrokeadjust known { true setstrokeadjust } if + /I/S/L/W/G/+/Z/F/E/D[/def/exch/for{E D}/add{s E get mul} + { Z -36.2001 1 33 }{25 E S rlineto}{/q Z dup q G E q 1 + G}{Z 2 2}]{cvx def}forall + [0 72 1008 {dup sin E cos }F ]1 setlinejoin/s W{/a W{/b I 10{/i I 4{/m I moveto + i m +/j I 10{/l Z b m l + G a l G sub s m get div .2 + floor .3 + 25 + mul j l + S rmoveto}F i L j L stroke }F}F}F}F + grestore + pop pop +} def +% +/TruchetFill { % on stack: scaling factor + 10 dict begin + dup dup scale + 1 exch div round /penroseFactor ED + a 0 dtransform round exch round exch + 2 copy idtransform + exch Atan rotate + idtransform pop /a ED + .25 .25 itransform pathbbox + /y2 ED + a Div ceiling cvi /x2 ED /y1 ED + a Div cvi /x1 ED /y2 y2 y1 sub def + clip + newpath + systemdict + /setstrokeadjust known { true setstrokeadjust } if + /ma a neg def + /ha a 2 div def + /mha ha neg def + /tile { + rand dup 2 idiv 2 mul eq { 90 rotate } if + mha mha moveto ha mha lineto + ha ha lineto mha ha lineto +% closepath .1 setlinewidth stroke + contents + } def + /contents{ + 0 ha moveto ha 0 lineto + 0 mha moveto mha 0 lineto +% 1 setlinewidth stroke + } def + /dotiling { + f ma mul a f a mul { + /i exch def + f ma mul a f a mul { + /j exch def + gsave i j translate + tile stroke grestore + } for + } for + } def +% + /f 3 def + 5 srand dotiling + end % local user dict +} def +% +/BeginArrow { + ADict begin % hold it local, for end see EndArrow + /@mtrx CM def + gsave + 2 copy T + 2 index sub neg exch + 3 index sub exch Atan + rotate newpath +} def +% +/EndArrow { @mtrx setmatrix CP grestore end } def % end the ADict +% +/Arrow { + CLW mul add dup + 2 div /w ED + mul dup /h ED + mul /a ED + { 0 h T 1 -1 scale } if + w neg h moveto + 0 0 L w h L w neg a neg rlineto + gsave fill grestore +} def +% +/ArrowD { % the sides are drawn as curves (hv 20071211) + CLW mul add dup + 2 div /w ED + mul dup /h ED + mul /Inset ED + { 0 h T 1 -1 scale } if % changes the direction +% we use y=w/h^2 * x^2 as equation for the control points +% for the coordinates the arrow is seen from top to bottom +% the bottom (tip) is (0;0) + w neg h moveto % lower left of > + w 9 div 4 mul neg h 3 div 2 mul + w 9 div neg h 3 div + 0 0 curveto % tip of > + w 9 div h 3 div + w 9 div 4 mul h 3 div 2 mul + w h curveto % upper left of > + w neg Inset neg rlineto % move to x=0 and inset + gsave fill grestore +} def +% +/Tbar { + CLW mul add /z ED + z -2 div CLW 2 div moveto + z 0 rlineto stroke + 0 CLW moveto +} def +% +/Bracket { + CLW mul add dup CLW sub 2 div + /x ED mul CLW add /y ED /z CLW 2 div def + x neg y moveto + x neg CLW 2 div L x CLW 2 div L x y L stroke + 0 CLW moveto +} def +% +/RoundBracket { + CLW mul add dup 2 div + /x ED mul /y ED /mtrx CM def + 0 CLW 2 div T x y mul 0 ne { x y scale } if + 1 1 moveto + .85 .5 .35 0 0 0 curveto + -.35 0 -.85 .5 -1 1 curveto + mtrx setmatrix stroke 0 CLW moveto +} def +% +/SD { 0 360 arc fill } def +% +/EndDot { % DS is the dot size + { /z DS def } { /z 0 def } ifelse % outer or inner dimen + /b ED % the color definition + 0 z DS SD + b { 0 z DS CLW sub SD } if + 0 DS z add CLW 4 div sub + moveto +} def +% +/Shadow { [ { /moveto load } { /lineto load } { /curveto load } { + /closepath load } /pathforall load stopped { pop pop pop pop CP /moveto + load } if ] cvx newpath 3 1 roll T exec } def +% +/NArray { % holds the coordinates and on top of stack the showpoints boolean + /showpoints ED + counttomark 2 div dup cvi /n ED % n 2 div on stack + n eq not { exch pop } if % even numbers of points? delete one + ] aload /Points ED + showpoints not { Points aload pop } if +% { ] aload /Points ED } +% { n 2 mul 1 add -1 roll pop } ifelse % delete the mark symbol +} def +% +/Line { + NArray n 0 eq not + { n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub def + n { Lineto } repeat + CP 4 2 roll ArrowB L pop pop + } if +} def +% +/LineToYAxis { + /Ox ED % Save the x origin value + NArray % all x-y pairs on stack + n { 2 copy moveto % go to current point + Ox exch Lineto % line to y-axis + pop % delete old x-value + } repeat +} def +% +/LineToXAxis{ + /Oy ED % Save the y origin value + NArray % all x-y pairs on stack + n 0 eq not + { n 1 eq { 0 0 /n 2 def } if + ArrowA + /n n 2 sub def + CP 2 copy moveto pop Oy Lineto + n { 2 copy moveto pop Oy Lineto } repeat + CP + 4 2 roll + ArrowB + 2 copy moveto pop Oy + L + pop pop } if +} def +% +/Arcto { + /a [ 6 -2 roll ] cvx def + a r + /arcto load stopped { 5 } { 4 } ifelse { pop } repeat + a +} def +% +/CheckClosed { + dup n 2 mul 1 sub index eq 2 index n 2 mul 1 add index eq + and { pop pop /n n 1 sub def } if +} def +% +/Polygon { + NArray n 2 eq { 0 0 /n 3 def } if + n 3 lt + { n { pop pop } repeat } + { n 3 gt { CheckClosed } if + n 2 mul -2 roll + /y0 ED /x0 ED /y1 ED /x1 ED + x1 y1 + /x1 x0 x1 add 2 div def + /y1 y0 y1 add 2 div def + x1 y1 moveto + /n n 2 sub def + n { Lineto } repeat + x1 y1 x0 y0 6 4 roll Lineto + Lineto pop pop closepath } ifelse +} def +% +/SymbolPolygon { % on stack [ x y x y ... + counttomark % number of elements + 2 add /m ED + 2 copy m 2 roll % copy last two + m 2 div cvi /n ED % n pairs + /YA ED /XA ED % the start point + n 1 sub { + /YB ED /XB ED + /XLength XB XA sub def + /YLength YB YA sub def + /PAngle YLength XLength Atan def + /XYLength XLength YLength Pyth def + /nSym XYLength SymStep Div cvi def + /Shift Symbol stringwidth pop 2 Div def + /deltaX XLength nSym Div def + /deltaY YLength nSym Div def + XA Shift sub YA Shift sub moveto + nSym { + gsave rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if + Symbol show + grestore + deltaX deltaY rmoveto + } repeat +% XB Shift sub YB Shift sub moveto Symbol show + /YA YB def /XA XB def + } repeat + pop % delete the mark symbol +} def +% +/Diamond { + /mtrx CM def + T rotate + /h ED + /w ED + dup 0 eq { pop } { CLW mul neg + /d ED + /a w h Atan def + /h d a sin Div h add def + /w d a cos Div w add def } ifelse + mark w 2 div h 2 div w 0 0 h neg w neg 0 0 h w 2 div h 2 div + /ArrowA { moveto } def + /ArrowB { } def + false Line + closepath mtrx setmatrix } def +% +/Triangle { + /mtrx CM def + translate + rotate /h ED 2 div /w ED + dup CLW mul /d ED + /h h d w h Atan sin Div sub def + /w w d h w Atan 2 div dup cos exch sin Div mul sub def + mark + 0 d w neg d 0 h w d 0 d + /ArrowA { moveto } def + /ArrowB { } def + false + Line + closepath + mtrx +% DG/SR modification begin - Jun. 1, 1998 - Patch 3 (from Michael Vulis) +% setmatrix } def + setmatrix pop +} def +% DG/SR modification end +% +/CCA { + /y ED /x ED + 2 copy y sub /dy1 ED + x sub /dx1 ED + /l1 dx1 dy1 Pyth def +} def +% +/CC { + /l0 l1 def + /x1 x dx sub def + /y1 y dy sub def + /dx0 dx1 def + /dy0 dy1 def + CCA + /dx dx0 l1 c exp mul dx1 l0 c exp mul add def + /dy dy0 l1 c exp mul dy1 l0 c exp mul add def + /m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos abs b exp a mul dx dy Pyth Div 2 div def + /x2 x l0 dx mul m mul sub def + /y2 y l0 dy mul m mul sub def + /dx l1 dx mul m mul neg def + /dy l1 dy mul m mul neg def +} def +% +/IC { + /c c 1 add def + c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if } ifelse + /a a 2 mul 3 div 45 cos b exp div def + CCA + /dx 0 def + /dy 0 def +} def +% +/BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def +/NC { CC x1 y1 x2 y2 x y curveto } def +/EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def +/BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def +/NAC { x2 y2 x y curveto CC x1 y1 } def +/EAC { x2 y2 x y ArrowB curveto pop pop } def +% +/OpenCurve { + NArray n 3 lt + { n { pop pop } repeat } + { BOC /n n 3 sub def n { NC } repeat EOC } ifelse +} def +% +/CurvePath { + %% for negative SymStep we calculate the distance + SymStep 0 lt { gsave PathLength SymStep div abs /SymStep ED grestore } if + 0.5 setflat + flattenpath /z 0 def /z0 0 def + { /y1 ED /x1 ED /y2 y1 def /x2 x1 def + x1 Shift sub y1 Shift sub moveto + gsave + curveticks + { x1 y1 translate startAngle rotate + 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto + SymbolLinewidth setlinewidth stroke + } + { startAngle rotate Symbol show } + ifelse + grestore /z0 z def } + { /y ED /x ED PathLength@ z z0 sub SymStep ge { + x Shift sub y Shift sub moveto + gsave + curveticks + { y yOld sub x xOld sub Atan 180 sub CorrAngle sub /rotAngle ED + x y translate rotAngle rotate + 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto + SymbolLinewidth setlinewidth stroke + } + { + rotateSymbol { y yOld sub x xOld sub Atan 180 sub CorrAngle sub rotate } if + Symbol show + } + ifelse + grestore /z0 z def } if + /yOld y def /xOld x def } + {} %% the lineto part + { /y y2 def /x x2 def PathLength@ + x Shift sub y Shift sub moveto + gsave + curveticks + { y yOld sub x xOld sub Atan 180 sub /rotAngle ED + x y translate rotAngle rotate + 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto + SymbolLinewidth setlinewidth stroke + } + { + x Shift sub y Shift sub moveto + rotateSymbol { y yOld sub x xOld sub Atan 180 sub CorrAngle sub rotate } if + Symbol show + } + ifelse + grestore + } + pathforall +% curveticks +% { gsave +% x y translate rotAngle rotate +% 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto +% SymbolLinewidth setlinewidth stroke grestore +% } if + z +} def +% +/OpenSymbolCurve { + OpenCurve + 0.1 setflat + /Shift Symbol stringwidth pop 2 div def + CurvePath +} def +% +/AltCurve { + { false NArray n 2 mul 2 roll + [ n 2 mul 3 sub 1 roll ] aload + /Points ED + n 2 mul -2 roll } + { false NArray } ifelse + n 4 lt { n { pop pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse +} def +% +/AltOpenSymbolCurve { + AltCurve + 0.1 setflat + /Shift Symbol stringwidth pop 2 div def + CurvePath +} def +% +/ClosedCurve { + NArray n 3 lt + { n { pop pop } repeat } + { n 3 gt { CheckClosed } if + 6 copy n 2 mul 6 add 6 roll + IC CC x y moveto n { NC } repeat + closepath pop pop + } ifelse +} def +% +/ClosedSymbolCurve { + ClosedCurve + 0.1 setflat + /Shift Symbol stringwidth pop 2 div def + CurvePath +} def +% +/SQ { /r ED r r moveto r r neg L r neg r neg L r neg r L fill } def +/ST { /y ED /x ED x y moveto x neg y L 0 x L fill } def +/SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore } def +% +/FontDot { + DS 2 mul dup + matrix scale matrix concatmatrix exch matrix + rotate matrix concatmatrix exch + findfont exch makefont setfont +} def +% +/Rect { + x1 y1 y2 add 2 div moveto + x1 y2 lineto + x2 y2 lineto + x2 y1 lineto + x1 y1 lineto + closepath +} def +% +/OvalFrame { + x1 x2 eq y1 y2 eq or + { pop pop x1 y1 moveto x2 y2 L } + { y1 y2 sub abs x1 x2 sub abs 2 copy gt + { exch pop } { pop } ifelse + 2 div exch { dup 3 1 roll mul exch } if + 2 copy lt { pop } { exch pop } ifelse + /b ED + x1 y1 y2 add 2 div moveto + x1 y2 x2 y2 b arcto + x2 y2 x2 y1 b arcto + x2 y1 x1 y1 b arcto + x1 y1 x1 y2 b arcto + 16 { pop } repeat + closepath + } ifelse +} def +% +/Frame { + CLW mul /a ED + 3 -1 roll + 2 copy gt { exch } if + a sub /y2 ED + a add /y1 ED + 2 copy gt { exch } if + a sub /x2 ED + a add /x1 ED + 1 index 0 eq { pop pop Rect } { OvalFrame } ifelse +} def +% +/BezierNArray { + /f ED + counttomark 2 div dup cvi /n ED + n eq not { exch pop } if + n 1 sub neg 3 mod 3 add 3 mod { 0 0 /n n 1 add def } repeat + f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse +} def +% +/OpenBezier { + BezierNArray + n 1 eq + { pop pop } + { ArrowA n 4 sub 3 idiv + { 6 2 roll 4 2 roll curveto } repeat + 6 2 roll 4 2 roll ArrowB curveto } ifelse +} def +% +/OpenSymbolBezier { + OpenBezier + 0.1 setflat + /Shift Symbol stringwidth pop 2 div def + CurvePath +} def +% +/ClosedBezier { + BezierNArray + n 1 eq + { pop pop } + { moveto n 1 sub 3 idiv + { 6 2 roll 4 2 roll curveto } repeat + closepath } ifelse +} def +% +/ClosedSymbolBezier { + /f ED % save showpoints value + 2 copy /yEnd ED /xEnd ED + counttomark -2 roll 2 copy /yStart ED /xStart ED + counttomark 2 roll + f + ClosedBezier + 0.1 setflat + /Shift Symbol stringwidth pop 2 div def + CurvePath + [ xEnd yEnd xStart yStart SymbolLine +} def +% +/BezierShowPoints { + gsave + Points aload length 2 div cvi /n ED + moveto + n 1 sub { lineto } repeat + CLW 2 div SLW [ 4 4 ] 0 setdash stroke + grestore +} def +% +/Parab { + /y0 ED /x0 ED /y1 ED /x1 ED + /dx x0 x1 sub 3 div def + /dy y0 y1 sub 3 div def + x0 dx sub y0 dy add x1 y1 ArrowA + x0 dx add y0 dy add x0 2 mul x1 sub y1 ArrowB + curveto + /Points [ x1 y1 x0 y0 x0 2 mul x1 sub y1 ] def +} def +% +/Parab1 { % 1 end | 0 SP + /ySP ED /xSP ED /y1 ED /x1 ED + /dx xSP x1 sub 3 div def + /dy ySP y1 sub 3 div def + newpath x1 y1 moveto xSP y1 lineto xSP ySP lineto + x1 ySP lineto closepath clip + currentpoint + newpath moveto + xSP dx sub ySP dy add x1 y1 ArrowA + xSP dx add ySP dy add xSP 2 mul x1 sub y1 ArrowB + curveto + /Points [ x1 y1 xSP ySP xSP 2 mul x1 sub y1 ] def +} def +% +/Grid { + newpath + /a 4 string def + /b ED % psk@gridlabels in pt + /c ED % { \pst@usecolor\psgridlabelcolor } + /n ED % psk@griddots + cvi dup 1 lt { pop 1 } if + /s ED % \psk@subgriddiv + s div dup 0 eq { pop 1 } if + /dy ED s div dup 0 eq { pop 1 } if % \pst@number\psyunit abs + /dx ED dy div round dy mul % \pst@number\psxunit abs + /y0 ED dx div round dx mul + /x0 ED dy div round cvi + /y2 ED dx div round cvi + /x2 ED dy div round cvi + /y1 ED dx div round cvi + /x1 ED + /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def + /w x2 x1 sub 0 gt { 1 } { -1 } ifelse def + b 0 gt { + /z1 b 4 div CLW 2 div add def +% /Helvetica findfont b scalefont setfont + /b b .95 mul CLW 2 div add def } if + systemdict /setstrokeadjust known + { true setstrokeadjust /t { } def } + { /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add + exch itransform } bind def } ifelse + gsave n 0 gt { 1 setlinecap [ 0 dy n div ] dy n div 2 div setdash } { 2 setlinecap } ifelse + /i x1 def + /f y1 dy mul n 0 gt { dy n div 2 div h mul sub } if def + /g y2 dy mul n 0 gt { dy n div 2 div h mul add } if def + x2 x1 sub w mul 1 add dup 1000 gt { pop 1000 } if + { i dx mul dup y0 moveto + b 0 gt + { gsave c i a cvs dup stringwidth pop + /z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse + h 0 gt {b neg}{z1} ifelse + rmoveto show grestore } if + dup t f moveto + g t L stroke + /i i w add def + } repeat + grestore + gsave + n 0 gt + % DG/SR modification begin - Nov. 7, 1997 - Patch 1 + %{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash } + { 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash } + % DG/SR modification end + { 2 setlinecap } ifelse + /i y1 def + /f x1 dx mul n 0 gt { dx n div 2 div w mul sub } if def + /g x2 dx mul n 0 gt { dx n div 2 div w mul add } if def + y2 y1 sub h mul 1 add dup 1000 gt { pop 1000 } if + { newpath i dy mul dup x0 exch moveto + b 0 gt { gsave c i a cvs dup stringwidth pop + /z2 ED + w 0 gt {z1 z2 add neg} {z1} ifelse + h 0 gt {z1} {b neg} ifelse + rmoveto show grestore } if + dup f exch t moveto + g exch t L stroke + /i i h add def + } repeat + grestore +} def +% +/ArcArrow { + /d ED /b ED /a ED + gsave + newpath 0 -1000 moveto clip + newpath + 0 1 0 0 b + grestore + c mul + /e ED + pop pop pop r a e d PtoC y add exch x add + exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c + mul neg d +} def +% +/Ellipse { + /rotAngle ED + /mtrx CM def + T + rotAngle rotate + scale 0 0 1 5 3 roll arc + mtrx setmatrix +} def +% +/ArcAdjust { %%%% Vincent Guirardel +% given a target length (targetLength) and an initial angle (angle0) [in the stack], +% let M(angle0)=(rx*cos(angle0),ry*sin(angle0))=(x0,y0). +% This computes an angle t such that (x0,y0) is at distance +% targetLength from the point M(t)=(rx*cos(t),ry*sin(t)). +% NOTE: this an absolute angle, it does not have to be added or substracted to angle0 +% contrary to TvZ's code. +% To achieve, this, one iterates the following process: start with some angle t, +% compute the point M' at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]. +% Now take t' (= new angle) so that (0,0) M(t') and M' are aligned. +% +% Another difference with TvZ's code is that we need d (=add/sub) to be defined. +% the value of d = add/sub is used to know on which side we have to move. +% It is only used in the initialisation of the angle before the iteration. +% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Input stack: 1: target length 2: initial angle +% variables used : rx, ry, d (=add/sub) +% + /targetLength ED /angle0 ED + /x0 rx angle0 cos mul def + /y0 ry angle0 sin mul def +% we are looking for an angle t such that (x0,y0) is at distance targetLength +% from the point M(t)=(rx*cos(t),ry*sin(t))) +%initialisation of angle (using 1st order approx = TvZ's code) + targetLength 57.2958 mul + angle0 sin rx mul dup mul + angle0 cos ry mul dup mul + add sqrt div +% if initialisation angle is two large (more than 90 degrees) set it to 90 degrees +% (if the ellipse is very curved at the point where we draw the arrow, % +% the value can be much more than 360 degrees !) +% this should avoid going on the wrong side (more than 180 degrees) or go near +% a bad attractive point (at 180 degrees) + dup 90 ge { pop 90 } if + angle0 exch d % add or sub +% maximum number of times to iterate the iterative procedure: +% iterative procedure: takes an angle t on top of stack, computes a +% better angle (and put it on top of stack) + 30 { dup +% compute distance D between (x0,y0) and M(t) + dup cos rx mul x0 sub dup mul exch sin ry mul y0 sub dup mul add sqrt +% if D almost equals targetLength, we stop + dup targetLength sub abs 1e-5 le { pop exit } if +% stack now contains D t +% compute the point M(t') at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]: +% M(t')= ( (x(t)-x0)*targetLength/d+x0 , (y(t)-y0)*targetLength/d+y0 ) + exch dup cos rx mul x0 sub exch sin ry mul y0 sub +% stack contains: y(t)-y0, x(t)-x0, d + 2 index Div targetLength mul y0 add ry Div exch + 2 index Div targetLength mul x0 add rx Div +% stack contains x(t')/rx , y(t')/ry , d +% now compute t', and remove D from stack + atan exch pop + } repeat +% we don't look at what happened... in particular, if targetLength is greater +% than the diameter of the ellipse... +% the final angle will be around /angle0 + 180. maybe we should treat this pathological case... +% after iteration, stack contains an angle t such that M(t) is the tail of the arrow +% to give back the result as a an angle relative to angle0 we could add the following line: +% angle0 sub 0 exch d +% +% begin bug fix 2006-01-11 +% we want to adjust the new angle t' by a multiple of 360 so that | t'-angle0 | <= 180 +%(we don't want to make the ellipse turn more or less than it should)... +dup angle0 sub dup abs 180 gt { 180 add 360 div floor 360 mul sub } { pop } ifelse +% end bug fix +} def +% +/EllipticArcArrow { + /d ED % is add or sub + /b ED % arrow procedure + /a1 ED % angle + gsave + newpath + 0 -1000 moveto + clip % Set clippath far from arrow. + newpath + 0 1 0 0 b % Draw arrow to determine length. + grestore +% Length of arrow is on top of stack. Next 3 numbers are junk. +% + a1 exch ArcAdjust % Angular position of base of arrow. + /a2 ED + pop pop pop + a2 cos rx mul xOrig add % hv 2007-08-29 x->xOrig + a2 sin ry mul yOrig add % hv 2007-08-29 y->yOrig + a1 cos rx mul xOrig add % + a1 sin ry mul yOrig add % +% Now arrow tip coor and base coor are on stack. + b pop pop pop pop % Draw arrow, and discard coordinates. + a2 CLW 8 div +% change value of d (test it by looking if `` 1 1 d '' gives 2 or not ) + 1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse + ArcAdjust +% resets original value of d + 1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse % Adjust angle to give overlap. +} def +%%------------------ tvz/DG/hv (2004-05-10) end -------------------%% +% +/Rot { CP CP translate 3 -1 roll neg rotate NET } def +% +/RotBegin { + tx@Dict /TMatrix known not { /TMatrix { } def /RAngle { 0 } def } if + /TMatrix [ TMatrix CM ] cvx def + /a ED + a Rot /RAngle [ RAngle dup a add ] cvx def +} def +% +/RotEnd { + /TMatrix [ TMatrix setmatrix ] cvx def + /RAngle [ RAngle pop ] cvx def +} def +% +/PutCoor { gsave CP T CM STV exch exec moveto setmatrix CP grestore } def +/PutBegin { /TMatrix [ TMatrix CM ] cvx def CP 4 2 roll T moveto } def +/PutEnd { CP /TMatrix [ TMatrix setmatrix ] cvx def moveto } def +% +/Uput { + /a ED + add 2 div /h ED 2 + div /w ED + /s a sin def + /c a cos def + /b s abs c abs 2 copy gt dup + /q ED + { pop } { exch pop } ifelse def + /w1 c b div w mul def + /h1 s b div h mul def + q { w1 abs w sub dup c mul abs }{ h1 abs h sub dup s mul abs } ifelse +} def +% +/UUput { + /z ED + abs /y ED + /x ED + q { x s div c mul abs y gt }{ x c div s mul abs y gt } ifelse + { x x mul y y mul sub z z mul add sqrt z add } + { q { x s div } { x c div } ifelse abs + } ifelse + a PtoC + h1 add exch + w1 add exch +} def +% +/BeginOL { + dup (all) eq exch TheOL eq or + { IfVisible not { Visible /IfVisible true def } if } + { IfVisible { Invisible /IfVisible false def } if } ifelse +} def +% +/InitOL { + /OLUnit [ 3000 3000 matrix defaultmatrix dtransform ] cvx def + /Visible { CP OLUnit idtransform T moveto } def + /Invisible { CP OLUnit neg exch neg exch idtransform T moveto } def + /BOL { BeginOL } def + /IfVisible true def +} def +% +%%%%%%%%%%%%%%%%% tools %%%%%%%%%%%%%%%%%%%%%%%%% +%%%%% ### bubblesort ### +%% syntax : array bubblesort --> array2 trie par ordre croissant +%% code de Bill Casselman +%% http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/ +/bubblesort { +4 dict begin + /a exch def + /n a length 1 sub def + n 0 gt { + % at this point only the n+1 items in the bottom of a remain to + % the sorted largest item in that blocks is to be moved up into + % position n + n { + 0 1 n 1 sub { + /i exch def + a i get a i 1 add get gt { + % if a[i] > a[i+1] swap a[i] and a[i+1] + a i 1 add + a i get + a i a i 1 add get + % set new a[i] = old a[i+1] + put + % set new a[i+1] = old a[i] + put + } if + } for + /n n 1 sub def + } repeat + } if + a +end +} def +% +% +/concatstringarray{ % [(a) (b) ... (z)] --> (ab...z) 20100422 + 0 1 index { length add } forall + string + 0 3 2 roll + { 3 copy putinterval length add }forall + pop +} bind def +% +/dot2comma {% on stack a string (...) + 2 dict begin + /Output exch def + 0 1 Output length 1 sub { + /Index exch def + Output Index get 46 eq { Output Index 44 put } if + } for + Output + end +} def +% +end +%-----------------------------------------------------------------------------% +% +% END pstricks.pro + +%%EndProcSet +%%BeginProcSet: pst-algparser.pro 0 0 +% $Id: pst-algparser.pro 594 2011-10-31 18:13:18Z herbert $ +%% +%% PostScript prologue for PSTricks algorithm parser +%% Version 0.04, 2011/10/21 +%% +%% This program can be redistributed and/or modified under the terms +%% of the LaTeX Project Public License Distributed from CTAN archives +%% in directory macros/latex/base/lppl.txt. +%% +%%-----------------------------------------------------------------------------% +% +/AlgParser { tx@AlgToPs begin AlgToPs end } def % Dominique Rodriguez +% +/tx@CoreAnalyzerDict 100 dict def tx@CoreAnalyzerDict begin +% +% PS ANALYZER FOR ALGEBRAIC EXPRESSION V1.13 +% +% 09/2011 DR factorial with ! added +% +% E->T|E+T +% T->FS|T*FS +% FS -> F | +FS | -FS +% F->P|F^SF|P! +% P->(E)|literal +% literal->number|var|var[E]|func(params) +% params->E|E,param +% number->TOBEFINISHED +% +%% E expression, T term, SF signed factor, F factor, P power +% +%% parser +% +%% str +% +%% C->E<condition_operators>E +%% STR index -> STR index+lenExpr +/AnalyzeCond { AnalyzeExpr ReadCondOp AnalyzeExpr EvalCondOp } def +% +%% analyze Expression List (separator , or | ) +%% STR index -> STR index+lenExpr +%% /AnalyzeListOfE { +%% { NextNonBlankChar pop AnalyzeExpr%%dup Strlen eq { exit } if NextNonBlankChar +%% NextNonBlankChar dup 0 eq { pop exit } if +%% dup 44 ne 1 index 124 ne and { dup 41 ne { PROBLEMCONTACTBILLOU } { pop exit } ifelse } if +%% pop NextNonBlankChar dup 0 eq { exit } if 124 ne { PROBLEMCONTACTBILLOU } if 1 add NextNonBlankChar 0 eq {toto} if } loop +%% AnalyzeListOfEPostHook +%% } def +/AnalyzeListOfE { + /NotFirst false def + { NextNonBlankChar pop AnalyzeExpr + NotFirst { EvalListOfExpr } { /NotFirst true def } ifelse + dup Strlen eq { exit } if NextNonBlankChar + dup 44 ne 1 index 124 ne and + { dup 41 ne { PROBLEMCONTACTBILLOU } { pop exit } ifelse } + if pop 1 add } loop + AnalyzeListOfEPostHook +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% E->T|E+T +%% STR index -> STR index+lenExpr +/AnalyzeExpr { + AnalyzePreHook AnalyzeTerm IsEndingExpr + { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } + { { RollOp 1 add NextNonBlankChar pop AnalyzeTerm PreEvalHook EvalAddSub IsEndingExpr { pop exit } if } loop } + ifelse + AnalyzePostHook +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% T->FS|T*FS +%% STR index +/AnalyzeTerm { + AnalyzePreHook AnalyzeSignedFactor IsEndingTerm + { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } + { { RollOp 1 add NextNonBlankChar pop AnalyzeSignedFactor PreEvalHook EvalMulDiv IsEndingTerm { pop exit } if} loop } + ifelse + AnalyzePostHook +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% FS -> F | +FS | -FS +%% STR index +/AnalyzeSignedFactor { + AnalyzePreHook 2 copy get dup IsUnaryOp + { RollOp 1 add NextNonBlankChar pop AnalyzeSignedFactor EvalUnaryOp } + { pop AnalyzeFactor } + ifelse AnalyzePostHook +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% F->P|F^P|P! +%% STR index +/AnalyzeFactor { + AnalyzePreHook AnalyzePower IsEndingFactor + { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } + { { dup 33 eq%% is there a ! DR 09/2011 + { pop 1 add NextNonBlankChar pop EvalFactorial } + { RollOp 1 add NextNonBlankChar pop AnalyzePower PreEvalHook EvalPower } + ifelse + IsEndingFactor { pop exit } if } loop } + ifelse AnalyzePostHook +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% P->(E)|literal +%% STR index +/AnalyzePower { + %% depending of first char either a number, or a literal + 2 copy get dup 40 eq%%an open par + { pop 1 add NextNonBlankChar pop AnalyzeExpr 1 add NextNonBlankChar pop } + { AnalyzeLiteral } + ifelse +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% STR index STR[index] -> STR index +%/AnalyzeLiteral { IsNumber { EvalNumber } { EvalLiteral } ifelse } def +/AnalyzeLiteral { dup IsUnaryOp exch IsNumber or { EvalNumber } { EvalLiteral } ifelse } def%%dr 09102006 +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% recognize + or - +%% chr -> T/F +/IsUnaryOp { dup 43 eq exch 45 eq or } bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% a number can contain only : 0123456789. +%% chr -> T/F +/IsNumber { dup 48 ge exch dup 57 le 3 -1 roll and exch 46 eq or } bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% STR index -> STR index number +%% a number can be of the form [0-9]*.[0-9]*\([eE][+-]?[0-9]+\)? +%% STR index -> STR index' number +/ReadNumber { + exch dup 3 -1 roll dup 3 1 roll + %%read mantissa + { 1 add 2 copy dup Strlen eq { pop pop 0 exit } if get dup IsNumber not { exit } if pop } loop + dup 101 eq exch 69 eq or + %%% there is a "e" or "E" -> read exponant + { 1 add 2 copy get dup IsUnaryOp + { pop 1 add 2 copy get } if + { IsNumber not { exit } if 1 add 2 copy get } loop } + if + dup 4 1 roll + 3 -1 roll exch 1 index sub getinterval +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% a number can contain only : 0123456789. +%% chr -> T/F +/IsCondOp { dup 30 eq exch dup 60 ge exch 62 le and or } bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% STR index -> STR index number +%% a number can be of the form [0-9]*.[0-9]*\([eE][+-]?[0-9]+\)? +%% STR index -> STR index' number +/ReadCondOp { + NextNonBlankChar 1 index 4 1 roll + { IsCondOp not { exit } if 1 add 2 copy get } loop + 2 copy 5 -1 roll + exch 1 index sub getinterval 3 1 roll +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% a literal can contain only : 0123456789. +%% chr -> T/F +/IsLiteral {% + dup 48 ge exch dup 57 le 3 -1 roll and exch + dup 65 ge exch dup 90 le 3 -1 roll and 3 -1 roll or exch + dup 97 ge exch 122 le and or } bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% a literal can be of the form [a-zA-Z][a-zA-Z0-9]*\(\((Expression)\)|\(\[Expression\]\)\)? +%% STR index -> literal STR index' nextchr +/ReadLiteral { + exch dup 3 -1 roll dup 3 1 roll + %%read literal core + { 2 copy dup Strlen eq { pop pop 0 exit } if get dup IsLiteral not { exit } if pop 1 add } loop + 4 1 roll dup 5 1 roll 3 -1 roll exch 1 index sub getinterval 4 1 roll +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% expr is ended by end of str or a clpar +%% STR index -> STR index STR[index] T/F +/IsEndingExpr {% + 2 copy dup Strlen eq + %% if end of str is reached -> end ! + { pop pop 0 true } + %% ending chr -> clpar, comma, |, <, >, =, !, + {get dup dup 41 eq + exch dup 124 eq + exch dup 93 eq + exch dup 44 eq + exch dup 30 eq + exch dup 60 ge exch 62 le and or or or or or} + ifelse } def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% expr is ended by end of str or a +- +%% STR index -> STR index STR[index] T/F +/IsEndingTerm { IsEndingExpr { true } { dup dup 43 eq exch 45 eq or } ifelse } def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% expr is ended by end of str or */ +%% STR index -> STR index STR[index] T/F +/IsEndingFactor { IsEndingTerm { true } { dup dup 42 eq exch 47 eq or } ifelse } def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% expr is ended by end of str or ^ +%% STR index -> STR index STR[index] T/F +/IsEndingPower { IsEndingFactor { true } { dup 94 eq } ifelse } def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% STR index -> STR index STR[index] +/NextNonBlankChar { { dup Strlen eq { 0 exit } if 2 copy get dup neBlkChar { exit } if pop 1 add } loop } bind def +/neBlkChar { dup 32 ne exch dup 10 ne exch 9 ne and and } bind def +%%%%%%%%%%%%%%%%%%%%%%%% +%% DEBUG +/BRK {false} def +/BRKtrue {/BRK true def} def +/BRKStop {BRK {BRKtoto} if } def +/BRKEvalStop {BRK exch if } def +/BRKBRK2true {BRK {BRK2true} if } def +/BRK2 {false} def +/BRK2true {/BRK2 true def} def +/BRK2Stop {BRK2 {BRK2toto} if } def/BRK {false} def +end +% +%-------------------------------------------------------------------------------% +% +/tx@AlgToPs 12 dict def tx@AlgToPs begin +% +%% algExpr -> PSVector +/AlgToPs { tx@CoreAnalyzerDict begin InitParser AnalyzeListOfE pop pop EndingSequence end } def +/EndingSequence { ExpressionVector aload length /end cvx exch 1 add array astore } def +/InitParser { /ExpressionVector [ /tx@AddMathFunc cvx /begin cvx ] def dup length /Strlen exch def 0 } def +/Strlen 0 def +/EvalListOfExpr {} def% +/EvalNumber {% + ReadNumber cvr /ExpressionVector ExpressionVector aload length dup 3 add -1 roll cvx + exch 1 add array astore def NextNonBlankChar pop } def +/EvalAddSub {% + /ExpressionVector ExpressionVector aload length dup 5 add -1 roll + 43 eq { /add } { /sub } ifelse cvx exch 1 add array astore def +} def +/EvalMulDiv {% + /ExpressionVector ExpressionVector aload length dup 5 add -1 roll + 42 eq { /mul } { /div } ifelse cvx exch 1 add array astore def +} def +/EvalPower {% + /ExpressionVector ExpressionVector aload length dup 5 add -1 roll + pop /exp cvx exch 1 add array astore def +} def +/EvalFactorial {% DR 09/2011 + /ExpressionVector ExpressionVector aload length + /fact cvx exch 1 add array astore def +} def +/EvalLiteral {% + ReadLiteral + dup 40 eq%%% there is an open par -> function call + { pop 2 index + dup (Sum) eq { EvalSum } + { dup (IfTE) eq { EvalCond } + { dup (Derive) eq { pop EvalDerive } + { pop 1 add NextNonBlankChar pop AnalyzeListOfE 2 index TrigoFunc + /ExpressionVector ExpressionVector aload length dup 5 add -1 roll cvn cvx + exch 1 add array astore def 1 add NextNonBlankChar pop } ifelse } ifelse} ifelse } + { /ExpressionVector ExpressionVector aload length dup 6 add -1 roll cvn cvx exch 1 add array astore def + dup 91 eq%%% there is an open bracket -> vector element + { pop 1 add NextNonBlankChar pop AnalyzeExpr + /ExpressionVector ExpressionVector aload length /cvi cvx exch /get cvx exch 2 add array astore def 1 add } + { pop NextNonBlankChar pop } + ifelse} + ifelse +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% the derive function : Derive(n,f(x)) +%% firstparindex lastparindex -> +/EvalDerive { + %% manage the function descripiton + 1 add ReadNumber 3 1 roll NextNonBlankChar + 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if + 1 add NextNonBlankChar pop + 3 -1 roll cvi + dup 0 eq + { pop AnalyzeExpr 3 -1 roll pop 1 add } + { 1 sub 3 1 roll (x) exch tx@Derive begin DeriveIndexed end 4 -1 roll + { (x) tx@Derive begin Derive end } repeat + ExpressionVector exch /ExpressionVector [] def + AlgToPs aload length + /ExpressionVector 1 index 3 add -1 roll aload length dup 3 add -1 roll /l2 exch def /l1 exch def + l1 l2 add 1 add l2 neg roll l1 l2 add array astore def 3 -1 roll pop 1 add + 1 index length /Strlen exch def } ifelse +} def +/EvalSum {% + pop 1 add NextNonBlankChar pop + %% read the variable name + ReadLiteral pop NextNonBlankChar + 44 ne { ANALYZER_ERROR_missing_first_comma_in_Sum } if + %% read the initial value + 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll + 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if + %% read the increment value + 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll + 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if + %% read the limit value + 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll + 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if + /ExpressionVector ExpressionVector aload length dup 7 add -3 roll 0 4 1 roll + 5 -1 roll 4 add array astore def + %% keep ExpressionVector for later and create a new one for internal Sum computation + ExpressionVector 3 1 roll /ExpressionVector [ 6 -1 roll cvn /exch cvx /def cvx ] def + 1 add NextNonBlankChar pop AnalyzeExpr + %% add each term + /ExpressionVector ExpressionVector aload length 1 add /add cvx exch array astore def + /ExpressionVector 4 -1 roll aload length ExpressionVector cvx /for cvx 3 -1 roll 2 add + array astore def 3 -1 roll pop 1 add +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Convert to radians if trigo function call +%% (name) -> +/TrigoFunc { + dup (cos) eq 1 index (sin) eq or exch (tan) eq or + { /ExpressionVector ExpressionVector aload length Pi /div cvx 180 /mul cvx 5 -1 roll 4 add + array astore def + } if +} def +/EvalCond {% + pop 1 add AnalyzeCond NextNonBlankChar + 44 ne { ANALYZER_ERROR_missing_first_comma_in_IfTE } if + ExpressionVector 3 1 roll /ExpressionVector [] def + 1 add AnalyzeExpr ExpressionVector 3 1 roll /ExpressionVector [] def + NextNonBlankChar 44 ne { ANALYZER_ERROR_missing_second_comma_in_IfTE } if + 1 add AnalyzeExpr + NextNonBlankChar 41 ne { ANALYZER_ERROR_missing_ending parenthesis_in_IfTE } if + ExpressionVector + /ExpressionVector 6 -1 roll aload length dup + 6 add -1 roll cvx exch dup 4 add -1 roll cvx /ifelse cvx 3 -1 roll 3 add array astore def + 1 add 3 -1 roll pop +} def +%% CondOp STR index +/EvalCondOp {% + 3 -1 roll + dup (=) eq { /eq } {% + dup (<) eq { /lt } {% + dup (>) eq { /gt } {% + dup (>=) eq { /ge } {% + dup (<=) eq { /ge } {% + dup (!=) eq { /ne } { ERROR_non_valid_conditional_operator } + ifelse } ifelse } ifelse } ifelse } ifelse } ifelse + cvx exch pop + /ExpressionVector ExpressionVector aload length dup 3 add -1 roll exch 1 add array astore def } def +/EvalUnaryOp { + 3 -1 roll 45 eq { /ExpressionVector ExpressionVector aload length /neg cvx exch 1 add array astore def } if +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% H O O K S +/AnalyzePreHook {} bind def +/PreEvalHook {} bind def +/AnalyzeListOfEPostHook {} bind def +/AnalyzePostHook {} def +/RollOp { 3 1 roll } bind def +end %tx@CoreAnalyzerDict +% +%--------------------------------------------------------------------% +% +/tx@Derive 41 dict def tx@Derive begin +%%increase ^^ for each function added +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% algExpr variable -> PSVector +/Derive {% + 10240 string 3 1 roll 0 3 1 roll + /Variable exch def + tx@CoreAnalyzerDict begin InitParser AnalyzeListOfE end +} def +/Strlen 0 def +/InitParser { dup length /Strlen exch def 0 } def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% algExpr variable index -> PSVector +/DeriveIndexed {% + 3 1 roll 10240 string 3 1 roll 0 3 1 roll + /Variable exch def + tx@CoreAnalyzerDict begin InitParser pop 4 -1 roll AnalyzeExpr 4 -2 roll pop pop 4 -2 roll exch pop end +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% (u,v)'=-(u',v') +/EvalListOfExpr {% + 4 2 roll 2 copy 9 -1 roll dup length 4 1 roll putinterval add AddPipe + 2 copy 7 -1 roll dup length 4 1 roll putinterval add + 6 -2 roll pop pop + 2 copy pop 0 6 2 roll GetIntervalNewStr 5 1 roll 2 copy 0 exch getinterval 6 1 roll } def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% (-u)'=-(u') +/EvalUnaryOp { + 4 -2 roll 4 index (0) eq + { (0) StrConcat 7 -1 roll pop } + { 7 -1 roll 45 eq + { AddSub AddOpPar true } { false } ifelse + 3 1 roll 5 index StrConcat 3 -1 roll { AddClPar } if } ifelse + 2 copy pop 0 6 2 roll GetIntervalNewStr + 7 -2 roll pop pop 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% (number)'=0 +/EvalNumber { ReadNumber (0) 6 2 roll } def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% (u+v)'=u'+v' +/EvalAddSub {% + 7 index dup (0) eq + { pop true }%% du=0 nothing added + { dup length exch 5 index 5 index 3 -1 roll putinterval 4 -1 roll add 3 1 roll false } + ifelse + 5 index dup (0) eq + { pop { (0) } { 4 -2 roll 2 copy pop 0 6 2 roll GetIntervalNewStr } ifelse }%%dv=0 + { exch + { 5 -2 roll 7 index 45 eq { AddSub } if false } %%nothing yet added + { 5 -2 roll 7 index 43 eq%%something yet added + { AddAdd false } { AddSub AddOpPar true } ifelse } + ifelse 11 1 roll + 3 -1 roll StrConcat 10 -1 roll { AddClPar } if + 2 copy pop 0 6 2 roll GetIntervalNewStr } + ifelse + mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% (u*v)' or (u/v)' +/EvalMulDiv { 6 index 42 eq {EvalMul} {EvalDiv} ifelse } def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% (u*v)'=u'*v+u*v' +/EvalMul {% + 4 -2 roll 7 index dup (0) eq + { pop false }%%du=0 + { (1) eq%%du=1 + { false } + { AddOpPar 7 index StrConcat AddClPar AddMul AddOpPar true } ifelse + 3 1 roll 6 index StrConcat 3 -1 roll { AddClPar } if + true }%%du!=0 + ifelse + 5 1 roll 5 index (0) eq + { 5 -1 roll not { (0) StrConcat } if }%%dv=0 + { 5 -1 roll { AddAdd } if + 4 index (1) eq + { 8 index StrConcat } + { AddOpPar 8 index StrConcat AddClPar AddMul AddOpPar 4 index StrConcat AddClPar } + ifelse + }%%dv!=0 + ifelse + 2 copy pop 0 6 2 roll GetIntervalNewStr + mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% (u/v)'=(u'*v-u*v')/v^2 +/EvalDiv {% + 4 -2 roll + 4 index (0) eq%%dv=0 -> u'/v + { 7 index (0) eq { (0) StrConcat } { AddOpPar 7 index StrConcat AddClPar AddDiv 5 index StrConcat } ifelse } + { 7 index dup (0) eq + { pop }%%du=0 + { (1) eq%%du=1 + { false } + { AddOpPar 7 index StrConcat AddClPar AddMul AddOpPar true } ifelse + 3 1 roll 6 index StrConcat 3 -1 roll { AddClPar } if}%%du!=0 + ifelse + AddSub + 4 index (1) eq + { 8 index StrConcat } + { AddOpPar 8 index StrConcat AddClPar AddMul AddOpPar 4 index StrConcat AddClPar } + ifelse + %}%%dv!=0 + 2 copy GetIntervalNewStr 3 1 roll pop 0 AddOpPar 3 -1 roll StrConcat AddClPar + AddDiv AddOpPar 5 index StrConcat AddClPar 2 copy (^2) putinterval 2 add } + ifelse + 2 copy pop 0 6 2 roll GetIntervalNewStr + mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% str1 index str2 -> str1 index +/StrConcat { dup length 4 2 roll 2 copy 6 -1 roll putinterval 3 -1 roll add } bind def +/GetIntervalNewStr { 0 exch getinterval dup length string copy } bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% (u^v)'=(u^v)'=u'vu^(v-1)+v'u^(v)ln(u) +/EvalPower {% + 4 -2 roll 7 index (0) eq + {%%if du=0 then (u^v)'=v'ln(u)u^v + 4 index (0) eq + { (0) StrConcat }%%if dv=0 then (u^v)'=0 + { 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if + 8 index (e) ne { (ln\() StrConcat 8 index StrConcat (\)*) StrConcat } if + AddOpPar 8 index StrConcat (\)^\() StrConcat 5 index StrConcat AddClPar } ifelse + } + {%%du!=0 + 4 index (0) eq + {%%if dv=0 then (u^v)'=vu'u^(v-1) + 5 index dup IsStrNumber + { dup (0) eq + { StrConcat } + { dup dup (1) eq exch (1.0) eq or + { StrConcat } + { StrConcat + 7 index dup (1) ne exch (1.0) ne and%%%dr 09102006 insert du if <> 1 + { (*\() StrConcat 7 index StrConcat (\)) StrConcat } if%%%dr 09102006 + (*\() StrConcat 8 index StrConcat (\)) StrConcat + 5 index dup dup (2) eq exch (2.0) eq or + { pop } { cvr 1 sub 20 string cvs 3 1 roll (^) StrConcat 3 -1 roll StrConcat } ifelse } ifelse } ifelse } + { pop AddOpPar 5 index StrConcat (\)*\() StrConcat 8 index StrConcat (\)^\() StrConcat + 5 index StrConcat (-1\)) StrConcat } ifelse + } + {%%if dv!=0 and du!=0 then (u^v)'=u'vu^(v-1)+v'u^(v)ln(u) + 7 index (1) ne { AddOpPar 7 index StrConcat (\)*) StrConcat } if + AddOpPar 5 index StrConcat (\)*\() StrConcat + 8 index StrConcat (\)^\() StrConcat + 5 index StrConcat (-1\)+\() StrConcat + 4 index (1) ne { 4 index StrConcat (\)*\() StrConcat } if + 8 index StrConcat (\)^\() StrConcat + 5 index StrConcat (\)*ln\() StrConcat + 8 index StrConcat AddClPar + } ifelse + } ifelse + 2 copy pop 0 6 2 roll GetIntervalNewStr + mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% No derivative for factorial ! only cst => null derivative +/EvalFactorial {% DR 09/2011 + 4 index (0) eq + { (0) mark 8 -2 roll cleartomark 2 index 7 index dup 4 index exch sub getinterval exch 6 2 roll } + { DERIVATIVE_ENGINE_ERROR_no_variable_in_factorial } ifelse +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% str -> true/false +/IsStrNumber {% + true exch + { dup 48 lt exch dup 57 gt 3 -1 roll or + exch dup 46 ne%%. + exch dup 43 ne%%+ + exch 45 ne%%- + and and and { pop false } if } forall +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% literal switch -> func call, vector, variables +/EvalLiteral {% + ReadLiteral dup 40 eq%%% there is an open par -> function call + { pop (EvalFunc_ ) 9 4 index StrConcat 0 exch getinterval cvn cvx exec } + { dup 91 eq%%% there is an open bracket -> vector element + { DERIVATIVE_ENGINE_ERROR_vector_not_yet_implemented } + { pop EvalVariable } + ifelse } + ifelse +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% first last parpos Expr[first:parpos-1] -> +/EvalVariable { 2 index Variable eq { (1) } { (0) } ifelse 4 -1 roll exch 6 2 roll } def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% (f(u))'=u'f'(u) +/EvalFunc { + 4 2 roll 4 index (1) ne + { AddOpPar 4 index StrConcat (\)*) StrConcat } if + (Eval ) 4 8 index StrConcat 0 exch getinterval cvn cvx exec + 2 copy pop 0 6 2 roll GetIntervalNewStr + mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Func derivative -> Eval<func> +/EvalFunc_sin {% + PreCommonFunc + { (cos\() StrConcat 5 index StrConcat AddClPar } if + PostCommonFunc } def +/EvalFunc_cos {% + PreCommonFunc + { (\(-sin\() StrConcat 5 index StrConcat (\)\)) StrConcat } if + PostCommonFunc } def +/EvalFunc_tan {% + PreCommonFunc + { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/cos\() StrConcat 5 index StrConcat (\)^2) StrConcat } if + PostCommonFunc } def +/EvalFunc_asin {% + PreCommonFunc + { (1/sqrt\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if + PostCommonFunc } def +/EvalFunc_acos {% + PreCommonFunc + { (-1/sqrt\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if + PostCommonFunc } def +/EvalFunc_atg {% + PreCommonFunc + { (1/\(1+\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if + PostCommonFunc } def +/EvalFunc_ln {% + PreCommonFunc + { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\() StrConcat 5 index StrConcat AddClPar } if + PostCommonFunc } def +/EvalFunc_exp {% + PreCommonFunc + { (exp\() StrConcat 5 index StrConcat AddClPar } if + PostCommonFunc } def +/EvalFunc_EXP {% + PreCommonFunc + { (EXP\() StrConcat 5 index StrConcat AddClPar } if + PostCommonFunc } def +/EvalFunc_sqrt {% + PreCommonFunc + { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\(2*sqrt\() StrConcat 5 index StrConcat (\)\)) StrConcat } if + PostCommonFunc } def +/EvalFunc_Fact {% + PreCommonFunc { DERIVATIVE_ENGINE_ERROR_no_variable_expression_in_Fact } if + PostCommonFunc } def +/EvalFunc_sh {% + PreCommonFunc + { (ch\() StrConcat 5 index StrConcat AddClPar } if + PostCommonFunc } def +/EvalFunc_ch {% + PreCommonFunc + { (sh\() StrConcat 5 index StrConcat AddClPar } if + PostCommonFunc } def +/EvalFunc_th {% + PreCommonFunc + { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/ch\() StrConcat 5 index StrConcat (\)^2) StrConcat } if + PostCommonFunc } def +/EvalFunc_Argsh {% + PreCommonFunc + { (1/sqrt\(1+\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if + PostCommonFunc } def +/EvalFunc_Argch {% + PreCommonFunc + { (1/sqrt\(\() StrConcat 5 index StrConcat (\)^2-1\)\)) StrConcat } if + PostCommonFunc } def +/EvalFunc_Argth {% + PreCommonFunc + { (1/\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if + PostCommonFunc } def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +/PreCommonFunc { + 1 add NextNonBlankChar pop 3 -1 roll 5 1 roll AnalyzeExpr 1 add NextNonBlankChar pop + 4 2 roll 4 index (0) eq + { (0) StrConcat false } + { 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if true } ifelse +} def +/PostCommonFunc { + 2 copy pop 0 6 2 roll GetIntervalNewStr + mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll +} def +/EvalFunc_Derive {% + 1 add ReadNumber cvi 1 add dup cvr log 1 add cvi string cvs + 4 -1 roll pop 5 1 roll 1 add NextNonBlankChar pop AnalyzeExpr 1 add + 4 -2 roll (Derive\() StrConcat 7 -1 roll StrConcat (,) StrConcat 6 -1 roll StrConcat AddClPar + 2 copy pop 0 6 2 roll GetIntervalNewStr 6 -1 roll pop 2 index 6 index dup 4 index exch sub getinterval + exch 6 2 roll } def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% literal switch -> func call, vector, variables +/EvalFunc_Sum {% + 1 add NextNonBlankChar pop + %% read the variable name + ReadLiteral pop 3 -1 roll pop NextNonBlankChar + 44 ne { ANALYZER_ERROR_missing_first_comma_in_Sum } if + %% read the initial value + 1 add NextNonBlankChar pop ReadNumber pop + 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if + %% read the increment value + 1 add NextNonBlankChar pop ReadNumber pop + 2 copy get 44 ne { ANALYZER_ERROR_missing_third_comma_in_Sum } if + %% read the limit value + 1 add NextNonBlankChar pop ReadNumber pop + 2 copy get 44 ne { ANALYZER_ERROR_missing_fourth_comma_in_Sum } if + 1 add NextNonBlankChar pop dup 6 1 roll 3 -1 roll pop AnalyzeExpr 1 add NextNonBlankChar pop + 4 -2 roll 3 index 8 index dup 9 index exch sub getinterval StrConcat + 4 index StrConcat AddClPar + 2 copy pop 0 6 2 roll GetIntervalNewStr + mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% literal switch -> func call, vector, variables +/EvalFunc_IfTE {% + 3 -1 roll pop 1 add NextNonBlankChar pop SkipCond + NextNonBlankChar + 44 ne { ANALYZER_ERROR_missing_first_comma_in_IfTE } if + 1 add NextNonBlankChar pop dup 5 1 roll + AnalyzeExpr NextNonBlankChar + 44 ne { ANALYZER_ERROR_missing_second_comma_in_IfTE } if + 1 add NextNonBlankChar pop + AnalyzeExpr 1 add NextNonBlankChar pop + 4 -2 roll 3 index 10 index dup 11 index exch sub getinterval StrConcat + 6 index StrConcat (,) StrConcat 4 index StrConcat AddClPar + 2 copy pop 0 6 2 roll GetIntervalNewStr + mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% advance in str until a comma is found (no error detection!) +%% str index -> str index' +/SkipCond { { 1 add 2 copy get 44 eq {exit } if } loop } bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Convert to radians if trigo function call +%% (name) -> +/TrigoFunc { + dup (cos) eq 1 index (sin) eq or exch (tan) eq or + { /ExpressionVector ExpressionVector aload length Pi /div cvx 180 /mul cvx 5 -1 roll 4 add + array astore def + } if +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% No derivative for condition.... +/EvalCondOp { 3 -1 roll pop } bind def +/PutIntervalOneAdd {putinterval 1 add} bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Add open parenthesis in string at the given index +%% str index -> str index+1 +/AddOpPar {2 copy (\() PutIntervalOneAdd} bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Add close parenthesis in string at the given index +%% str index -> str index+1 +/AddClPar {2 copy (\)) PutIntervalOneAdd} bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Add 0 in string at the given index +%% str index -> str index+1 +/AddZero {2 copy (0) PutIntervalOneAdd} bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Add open parenthesis in string at the given index +%% str index -> str index+1 +/AddMul {2 copy (*) PutIntervalOneAdd} bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Add open parenthesis in string at the given index +%% str index -> str index+1 +/AddDiv {2 copy (/) PutIntervalOneAdd} bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Add a plus sign in string at the given index +%% str index -> str index+1 +/AddAdd {2 copy (+) PutIntervalOneAdd} bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Add a minus sign in string at the given index +%% str index -> str index+1 +/AddSub {2 copy (-) PutIntervalOneAdd} bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Add a pipe sign in string at the given index +%% str index -> str index+1 +/AddPipe {2 copy (|) PutIntervalOneAdd} bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% H O O K S +/AnalyzePreHook { dup 5 1 roll } bind def +/PreEvalHook {} def +/AnalyzePostHook { 7 -1 roll pop } bind def +/AnalyzeListOfEPostHook { 6 -1 roll mark 6 1 roll cleartomark } bind def +/RollOp { 5 1 roll } bind def +end%%%tx@CoreAnalyzerDict +/tx@AddMathFunc 12 dict def tx@AddMathFunc begin +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% NEW FUNC +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% function arcsine in radians asin(x)=atan(x/sqrt(1-x^2)) +%% x -> theta +/asin {% + dup abs 1 gt { EQDFasinrangeerror } if + dup dup dup mul 1 exch sub sqrt atan exch 0 lt { 360 sub } if DegtoRad +} def +%% function arccosine in radians acos(x)=atan(sqrt(1-x^2)/x) +%% x -> theta +/acos {% + dup abs 1 gt { EQDFacosrangeerror } if + dup dup mul 1 exch sub sqrt exch atan DegtoRad +} def +%% function arctangent in radians +%% x -> theta +/atg { 1 atan dup 90 gt { 360 sub } if DegtoRad } bind def +%% HYPERBOLIC FUNCTIONS +/sh { dup Ex exch neg Ex sub 2 div } def +/ch { dup Ex exch neg Ex add 2 div } def +/th { dup sh exch ch div } def +/Argsh { dup dup mul 1 add sqrt add ln } def +/Argch { dup dup mul 1 sub sqrt add ln } def +/Argth { dup 1 add exch 1 exch sub div ln 2 div } def +%% modified exponential funtion for 0 +%% x n -> x^n +/Exp { dup 0 eq { pop pop 1 } { exp } ifelse } bind def +%% modified exponential funtion for 0 +%% x -> e^x +/Ex { Euler exch exp } bind def +%% +%% factorial function +%% n -> n! +/Fact { 1 exch 2 exch 1 exch { mul } for } bind def +/fact { Fact } bind def +/! { Fact } bind def +end +% +% END pst-algparser.pro + +%%EndProcSet +%%BeginProcSet: pst-tools.pro 0 0 +% $Id: pst-tools.pro 622 2012-01-01 15:36:14Z herbert $ +% +%% PostScript tools prologue for pstricks.tex. +%% Version 0.02, 2012/01/01 +%% +%% This program can be redistributed and/or modified under the terms +%% of the LaTeX Project Public License Distributed from CTAN archives +%% in directory macros/latex/base/lppl.txt. +% +% +/Pi2 1.57079632679489661925640 def +/factorial { % n on stack, returns n! + dup 0 eq { 1 }{ + dup 1 gt { dup 1 sub factorial mul } if } + ifelse } def +% +/MoverN { % m n on stack, returns the binomial coefficient m over n + 2 dict begin + /n exch def /m exch def + n 0 eq { 1 }{ + m n eq { 1 }{ + m factorial n factorial m n sub factorial mul div } ifelse } ifelse + end +} def +% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% subroutines for complex numbers, given as an array [a b] +% which is a+bi = Real+i Imag +% +/cxadd { % [a1 b1] [a2 b2] = [a1+a2 b1+b2] + dup 0 get % [a1 b1] [a2 b2] a2 + 3 -1 roll % [a2 b2] a2 [a1 b1] + dup 0 get % [a2 b2] a2 [a1 b1] a1 + 3 -1 roll % [a2 b2] [a1 b1] a1 a2 + add % [a2 b2] [a1 b1] a1+a2 + 3 1 roll % a1+a2 [a2 b2] [a1 b1] + 1 get % a1+a2 [a2 b2] b1 + exch 1 get % a1+a2 b1 b2 + add 2 array astore +} def +% +/cxneg { % [a b] + dup 1 get % [a b] b + exch 0 get % b a + neg exch neg % -a -b + 2 array astore +} def +% +/cxsub { cxneg cxadd } def % same as negative addition +% +% [a1 b1][a2 b2] = [a1a2-b1b2 a1b2+b1a2] = [a3 b3] +/cxmul { % [a1 b1] [a2 b2] + dup 0 get % [a1 b1] [a2 b2] a2 + exch 1 get % [a1 b1] a2 b2 + 3 -1 roll % a2 b2 [a1 b1] + dup 0 get % a2 b2 [a1 b1] a1 + exch 1 get % a2 b2 a1 b1 + dup % a2 b2 a1 b1 b1 + 5 -1 roll dup % b2 a1 b1 b1 a2 a2 + 3 1 roll mul % b2 a1 b1 a2 b1a2 + 5 -2 roll dup % b1 a2 b1a2 b2 a1 a1 + 3 -1 roll dup % b1 a2 b1a2 a1 a1 b2 b2 + 3 1 roll mul % b1 a2 b1a2 a1 b2 a1b2 + 4 -1 roll add % b1 a2 a1 b2 b3 + 4 2 roll mul % b1 b2 b3 a1a2 + 4 2 roll mul sub % b3 a3 + exch 2 array astore +} def +% +% [a b]^2 = [a^2-b^2 2ab] = [a2 b2] +/cxsqr { % [a b] square root + dup 0 get exch 1 get % a b + dup dup mul % a b b^2 + 3 -1 roll % b b^2 a + dup dup mul % b b^2 a a^2 + 3 -1 roll sub % b a a2 + 3 1 roll mul 2 mul % a2 b2 + 2 array astore +} def +% +/cxsqrt { % [a b] +% dup cxnorm sqrt /r exch def +% cxarg 2 div RadtoDeg dup cos r mul exch sin r mul cxmake2 + cxlog % log[a b] + 2 cxrdiv % log[a b]/2 + aload pop exch % b a + 2.781 exch exp % b exp(a) + exch cxconv exch % [Re +iIm] exp(a) + cxrmul % +} def +% +/cxarg { % [a b] + aload pop % a b + exch atan % arctan b/a + DegtoRad % arg(z)=atan(b/a) +} def +% +% log[a b] = [a^2-b^2 2ab] = [a2 b2] +/cxlog { % [a b] + dup % [a b][a b] + cxnorm % [a b] |z| + log % [a b] log|z| + exch % log|z|[a b] + cxarg % log|z| Theta + cxmake2 % [log|z| Theta] +} def +% +% square of magnitude of complex number +/cxnorm2 { % [a b] + dup 0 get exch 1 get % a b + dup mul % a b^2 + exch dup mul add % a^2+b^2 +} def +% +/cxnorm { % [a b] + cxnorm2 sqrt +} def +% +/cxconj { % conjugent complex + dup 0 get exch 1 get % a b + neg 2 array astore % [a -b] +} def +% +/cxre { 0 get } def % real value +/cxim { 1 get } def % imag value +% +% 1/[a b] = ([a -b]/(a^2+b^2) +/cxrecip { % [a b] + dup cxnorm2 exch % n2 [a b] + dup 0 get exch 1 get % n2 a b + 3 -1 roll % a b n2 + dup % a b n2 n2 + 4 -1 roll exch div % b n2 a/n2 + 3 1 roll div % a/n2 b/n2 + neg 2 array astore +} def +% +/cxmake1 { 0 2 array astore } def % make a complex number, real given +/cxmake2 { 2 array astore } def % dito, both given +% +/cxdiv { cxrecip cxmul } def +% +% multiplikation by a real number +/cxrmul { % [a b] r + exch aload pop % r a b + 3 -1 roll dup % a b r r + 3 1 roll mul % a r b*r + 3 1 roll mul % b*r a*r + exch 2 array astore % [a*r b*r] +} def +% +% division by a real number +/cxrdiv { % [a b] r + 1 exch div % [a b] 1/r + cxrmul +} def +% +% exp(i theta) = cos(theta)+i sin(theta) polar<->cartesian +/cxconv { % theta + RadtoDeg dup sin exch cos cxmake2 +} def + +%%%%% ### bubblesort ### +%% syntax : array bubblesort --> array2 trie par ordre croissant +%% code de Bill Casselman +%% http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/ +/bubblesort { % on stack must be an array [ ... ] +4 dict begin + /a exch def + /n a length 1 sub def + n 0 gt { + % at this point only the n+1 items in the bottom of a remain to + % the sorted largest item in that blocks is to be moved up into + % position n + n { + 0 1 n 1 sub { + /i exch def + a i get a i 1 add get gt { + % if a[i] > a[i+1] swap a[i] and a[i+1] + a i 1 add + a i get + a i a i 1 add get + % set new a[i] = old a[i+1] + put + % set new a[i+1] = old a[i] + put + } if + } for + /n n 1 sub def + } repeat + } if + a % return the sorted array +end +} def +% +/concatstringarray{ % [(a) (b) ... (z)] --> (ab...z) 20100422 + 0 1 index { length add } forall + string + 0 3 2 roll + { 3 copy putinterval length add }forall + pop +} bind def +% +/dot2comma {% on stack a string (...) + 2 dict begin + /Output exch def + 0 1 Output length 1 sub { + /Index exch def + Output Index get 46 eq { Output Index 44 put } if + } for + Output + end +} def +% +%-----------------------------------------------------------------------------% +% END pst-tools.pro + +%%EndProcSet +%%BeginProcSet: pst-dots.pro 0 0 +% $Id: pst-dots.pro 130 2009-08-27 08:55:03Z herbert $ +% +%% PostScript prologue for pstricks.tex. +%% Version 2.02, 2009/06/16 +%% +%% For distribution, see pstricks.tex. +%% +%% Timothy Van Zandt <tvz@Princeton.EDU> +%% +%% This program can be redistributed and/or modified under the terms +%% of the LaTeX Project Public License Distributed from CTAN archives +%% in directory macros/latex/base/lppl.txt. +%% +%% Modified by Etienne Riga - Dec. 16, 1999 +%% Modified by Etienne Riga - 2005/01/01 (er) +%% to add /Diamond, /SolidDiamond and /BoldDiamond +%% Modified by Herbert Voss (hv) - 2008/04/17 +% +10 dict dup begin % hold local + /FontType 3 def + /FontMatrix [.001 0 0 .001 0 0] def +% /FontBBox [-571.5 -742.5 571.5 742.5] def % changed to next line 20060616 hv + /FontBBox [-1000 -1000 1000 1000] def % See end of file in /BuildGlyph + /Encoding 256 array def + 0 1 255 {Encoding exch /.notdef put} for % fill the array with /.notdef + Encoding % replace with given dot names + dup (b) 0 get /Bullet put % get the numerical position of b in ASCII +% % and save /Bullet at this place in Encoding + dup (c) 0 get /Circle put + dup (C) 0 get /BoldCircle put % 67 + dup (u) 0 get /SolidTriangle put + dup (t) 0 get /Triangle put + dup (T) 0 get /BoldTriangle put + dup (r) 0 get /SolidSquare put + dup (s) 0 get /Square put + dup (S) 0 get /BoldSquare put + dup (q) 0 get /SolidPentagon put + dup (p) 0 get /Pentagon put + dup (P) 0 get /BoldPentagon put +%%% + dup (k) 0 get /Asterisk put + dup (K) 0 get /BoldAsterisk put + dup (J) 0 get /SolidAsterisk put + dup (h) 0 get /Hexagon put + dup (H) 0 get /BoldHexagon put + dup (G) 0 get /SolidHexagon put + dup (f) 0 get /Octogon put % 2008-04-18 hv + dup (F) 0 get /BoldOctogon put % 2008-04-18 hv + dup (g) 0 get /SolidOctogon put % 2008-04-18 hv + dup (a) 0 get /Add put + dup (A) 0 get /BoldAdd put % 65 + dup (x) 0 get /Mul put + dup (X) 0 get /BoldMul put + dup (m) 0 get /Oplus put + dup (M) 0 get /BOplus put + dup (e) 0 get /SolidOplus put + dup (n) 0 get /Otimes put + dup (N) 0 get /BOtimes put + dup (E) 0 get /SolidOtimes put + dup (i) 0 get /Bar put + dup (I) 0 get /BoldBar put + dup (l) 0 get /SolidDiamond put + dup (d) 0 get /Diamond put + (D) 0 get /BoldDiamond put +%%% +/CharProcs 47 dict def +CharProcs begin + /CirclePath {0 0 500 0 360 arc closepath} def + /Bullet {CirclePath fill} def + /Circle {CirclePath .9 .9 scale CirclePath eofill} def + /BoldCircle {CirclePath .8 .8 scale CirclePath eofill} def + /TrianglePath {0 660 moveto -571.5 -330 lineto 571.5 -330 lineto closepath} def + /SolidTriangle {TrianglePath fill} def + /Triangle {TrianglePath .85 .85 scale TrianglePath eofill} def + /BoldTriangle {TrianglePath .7 .7 scale TrianglePath eofill} def + /SquarePath {-450 450 moveto 450 450 lineto 450 -450 lineto -450 -450 lineto closepath} def + /SolidSquare {SquarePath fill} def + /Square {SquarePath .89 .89 scale SquarePath eofill} def + /BoldSquare {SquarePath .78 .78 scale SquarePath eofill} def + /PentagonPath { + -337.8 -465 moveto 337.8 -465 lineto 546.6 177.6 lineto + 0 574.7 lineto -546.6 177.6 lineto closepath + } def + /SolidPentagon {PentagonPath fill} def + /Pentagon {PentagonPath .89 .89 scale PentagonPath eofill} def + /BoldPentagon {PentagonPath .78 .78 scale PentagonPath eofill} def +%-------------- hv begin 2004/07/25 from: er 2003/03/24 + /HexagonPath { + 0 550 moveto -476 275 lineto -476 -275 lineto + 0 -550 lineto 476 -275 lineto 476 275 lineto closepath + } def + /SolidHexagon {HexagonPath fill} def + /Hexagon {HexagonPath .89 .89 scale HexagonPath eofill} def + /BoldHexagon {HexagonPath .79 .79 scale HexagonPath eofill} def +% 2008-04-18 hv + /OctogonPath { + 550 dup 22.5 tan mul dup neg dup add /xMove exch def + exch moveto 7 { xMove 0 rlineto 45 rotate } repeat closepath } def + /SolidOctogon { OctogonPath fill } def + /Octogon { OctogonPath .89 .89 scale OctogonPath eofill } def + /BoldOctogon { OctogonPath .79 .79 scale OctogonPath eofill } def +% + /AsteriskPath { + 20 0 moveto 10 250 180 500 0 500 curveto + -180 500 -10 250 -20 0 curveto closepath + } def + /Asterisk { + AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath + 60 rotate AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath fill + } def +% + /Basterp {50 250 220 500 0 500 curveto -220 500 -50 250 -50 30 cos 100 mul curveto} def + /BoldAsteriskPath { + 50 30 cos 100 mul moveto Basterp + 60 rotate Basterp 60 rotate Basterp + 60 rotate Basterp 60 rotate Basterp + 60 rotate Basterp closepath + } def + /BoldAsterisk {BoldAsteriskPath fill} def + /SolidAsterisk {CirclePath .9 .9 scale BoldAsteriskPath eofill} def + /CrossPath { + 40 550 moveto -40 550 lineto -40 40 lineto -550 40 lineto + -550 -40 lineto -40 -40 lineto -40 -550 lineto 40 -550 lineto + 40 -40 lineto 550 -40 lineto 550 40 lineto 40 40 lineto closepath + } def + /BoldCrossPath {80 550 moveto -80 550 lineto -80 80 lineto -550 80 lineto + -550 -80 lineto -80 -80 lineto -80 -550 lineto 80 -550 lineto + 80 -80 lineto 550 -80 lineto 550 80 lineto 80 80 lineto closepath + } def + /Add {CrossPath fill} def + /Mul {45 rotate CrossPath fill} def + /BoldAdd {BoldCrossPath fill} def + /BoldMul {45 rotate BoldCrossPath fill} def + /Oplus {CirclePath .9 .9 scale CirclePath eofill .775 .775 scale CrossPath fill } def + /SolidOplus {CirclePath .775 .775 scale BoldCrossPath eofill} def + /BOplus {CirclePath .8 .8 scale CirclePath eofill .775 .775 scale BoldCrossPath fill} def + /Otimes {CirclePath .9 .9 scale CirclePath eofill 45 rotate .775 .775 scale CrossPath fill} def + /BOtimes {CirclePath .8 .8 scale CirclePath eofill 45 rotate .775 .775 scale BoldCrossPath fill } def + /SolidOtimes {CirclePath 45 rotate .775 .775 scale BoldCrossPath eofill} def + /BarPath {40 660 moveto -40 660 lineto -40 -660 lineto 40 -660 lineto closepath} def + /Bar {BarPath fill} def + /BoldBarPath {80 660 moveto -80 660 lineto -80 -660 lineto 80 -660 lineto closepath} def + /BoldBar {BoldBarPath fill} def + /DiamondPath {0 742.5 moveto -428.5 0 lineto 0 -742.5 lineto 428.5 0 lineto closepath} def + /SolidDiamond {DiamondPath fill} def + /Diamond {DiamondPath .865 .865 scale DiamondPath eofill} def + /BoldDiamond {DiamondPath .73 .73 scale DiamondPath eofill} def +%%% + /.notdef { } def +end +% +/BuildGlyph { + exch + begin +% Metrics 1 index get exec 0 + 0 0 +% BBoxes 3 index get exec + -1000 -1000 1000 1000 +% -571.5 -742.5 571.5 742.5 + setcachedevice + CharProcs begin load exec end + end +} def +% +/BuildChar { + 1 index /Encoding get exch get + 1 index /BuildGlyph get exec +} bind def +% +end +/PSTricksDotFont exch definefont pop +% +%% end + +%%EndProcSet +%%BeginProcSet: pst-node.pro 0 0 +% $Id: pst-node.pro 645 2012-02-12 09:09:51Z herbert $ +%% +%% PostScript prologue for pst-node.tex. +%% Version 1.13, 2011/11/21. +%% +%% This program can be redistributed and/or modified under the terms +%% of the LaTeX Project Public License Distributed from CTAN archives +%% in directory macros/latex/base/lppl.txt. +% +/tx@NodeDict 400 dict def tx@NodeDict begin +tx@Dict begin % from main pstricks dict + /T /translate load def + /CP /currentpoint load def +end +/NewNode { % on stack: { x y } boolean N@name type InitXnode + gsave + NodeScale % a bugfix for xelatex, it's empty for dvips + /next exch def % { x y } boolean N@name type + dict dup % { x y } boolean N@name dict dict + 3 1 roll def % { x y } boolean dict N@name dict def + exch { dup 3 1 roll def } if % { x y } dict boolean + begin % { x y } dict begin + tx@Dict begin + STV CP T exec % set scaling + end + /NodeMtrx CM def % save CM + next % InitXNode + end + grestore +} def +% +/InitPnode { + /Y ED /X ED + /NodePos { NodeSep Cos mul NodeSep Sin mul } def +} def +% +/InitCnode { + /r ED /Y ED /X ED + /NodePos { NodeSep r add dup Cos mul exch Sin mul } def +} def +% +/GetRnodePos { + Cos 0 gt { /dx r NodeSep add def } { /dx l NodeSep sub def } ifelse + Sin 0 gt { /dy u NodeSep add def } { /dy d NodeSep sub def } ifelse + dx Sin mul abs dy + Cos mul abs gt { dy Cos mul Sin div dy } { dx dup Sin mul Cos Div } ifelse +} def +% +/InitRnode { + /Y ED /X ED X sub /r ED /l X neg def Y add neg /d ED Y sub /u ED + /NodePos { GetRnodePos } def +} def +% +/DiaNodePos { + w h mul w Sin mul abs h Cos mul abs add Div NodeSep add dup + Cos mul exch Sin mul +} def +% +/TriNodePos { + Sin s lt + { d NodeSep sub dup Cos mul Sin Div exch } + { w h mul w Sin mul h Cos abs mul add Div + NodeSep add dup Cos mul exch Sin mul + } ifelse +} def +% +/InitTriNode { + sub 2 div exch + 2 div exch + 2 copy T + 2 copy 4 index index /d ED + pop pop pop pop + -90 mul rotate + /NodeMtrx CM def + /X 0 def /Y 0 def + d sub abs neg /d ED + d add /h ED + 2 div h mul h d sub Div /w ED + /s d w Atan sin def + /NodePos { TriNodePos } def +} def +% +/OvalNodePos { + /ww w NodeSep add def + /hh h NodeSep add def + Sin ww mul Cos hh mul Atan dup cos ww mul exch sin hh mul +} def +% +/GetCenter { begin X Y NodeMtrx transform CM itransform end } def +% +/XYPos { + dup sin exch cos Do + /Cos ED /Sin ED /Dist ED + Cos 0 gt + { Dist Dist Sin mul Cos div } + { Cos 0 lt + { Dist neg Dist Sin mul Cos div neg } + { 0 Dist Sin mul } ifelse + } ifelse + Do +} def +% +/GetEdge { + dup 0 eq + { pop begin 1 0 NodeMtrx dtransform + CM idtransform + exch atan sub + dup + sin /Sin ED + cos /Cos ED + /NodeSep ED + NodePos NodeMtrx dtransform CM idtransform end } + { 1 eq {{exch}} {{}} ifelse /Do ED pop XYPos } ifelse +} def +% +/AddOffset { + 1 index 0 eq + { pop pop } + { 2 copy 5 2 roll cos mul add 4 1 roll sin mul sub exch } ifelse +} def +% +/GetEdgeA { + NodeSepA AngleA NodeA NodeSepTypeA GetEdge + OffsetA AngleA AddOffset + yA add /yA1 ED + xA add /xA1 ED +} def +% +/GetEdgeB { + NodeSepB AngleB NodeB NodeSepTypeB GetEdge + OffsetB AngleB AddOffset + yB add /yB1 ED + xB add /xB1 ED +} def +% +/GetArmA { + ArmTypeA 0 eq + { /xA2 ArmA AngleA cos mul xA1 add def + /yA2 ArmA AngleA sin mul yA1 add def } + { ArmTypeA 1 eq {{exch}} {{}} ifelse + /Do ED + ArmA AngleA XYPos OffsetA AngleA AddOffset + yA add /yA2 ED + xA add /xA2 ED } ifelse +} def +% +/GetArmB { + ArmTypeB 0 eq + { /xB2 ArmB AngleB cos mul xB1 add def + /yB2 ArmB AngleB sin mul yB1 add def } + { ArmTypeB 1 eq {{exch}} {{}} ifelse + /Do ED + ArmB AngleB XYPos OffsetB AngleB AddOffset + yB add /yB2 ED + xB add /xB2 ED } ifelse +} def +% +/InitNC { + /b ED /a ED % second and first node + /NodeSepTypeB ED /NodeSepTypeA ED + /NodeSepB ED /NodeSepA ED + /OffsetB ED /OffsetA ED + tx@NodeDict a known tx@NodeDict b known and dup { + /NodeA a load def + /NodeB b load def + NodeA GetCenter /yA ED /xA ED + NodeB GetCenter /yB ED /xB ED } if +} def +% +/LPutLine { + 4 copy + 3 -1 roll sub neg 3 1 roll sub Atan /NAngle ED + 1 t sub mul + 3 1 roll 1 t sub mul + 4 1 roll t mul add /Y ED + t mul add /X ED +} def +% +/LPutLines { + mark LPutVar counttomark 2 div 1 sub /n ED +% t floor dup n gt + t floor dup n ge % to allow npos<= hv 2008-08-14 + { pop n 1 sub /t 1 def } { dup t sub neg /t ED } ifelse + cvi 2 mul { pop } repeat + LPutLine + cleartomark +} def +% +/BezierMidpoint { + /y3 ED /x3 ED /y2 ED /x2 ED /y1 ED /x1 ED /y0 ED /x0 ED /t ED + /cx x1 x0 sub 3 mul def + /cy y1 y0 sub 3 mul def + /bx x2 x1 sub 3 mul cx sub def + /by y2 y1 sub 3 mul cy sub def + /ax x3 x0 sub cx sub bx sub def + /ay y3 y0 sub cy sub by sub def + ax t 3 exp mul bx t t mul mul add + cx t mul add x0 add ay t 3 exp mul + by t t mul mul add cy t mul add + y0 add 3 ay t t mul mul mul 2 + by t mul mul add cy add 3 ax t t mul mul mul + 2 bx t mul mul add cx add atan /NAngle ED + /Y ED /X ED +} def +% +/HPosBegin { yB yA ge { /t 1 t sub def } if /Y yB yA sub t mul yA add def +} def +/HPosEnd { /X Y yyA sub yyB yyA sub Div xxB xxA sub mul xxA add def +/NAngle yyB yyA sub xxB xxA sub Atan def } def +/HPutLine { HPosBegin /yyA ED /xxA ED /yyB ED /xxB ED HPosEnd } def +/HPutLines { HPosBegin yB yA ge { /check { le } def } { /check { ge } def +} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { dup Y check { exit +} { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark HPosEnd +} def +/VPosBegin { xB xA lt { /t 1 t sub def } if /X xB xA sub t mul xA add def +} def +/VPosEnd { /Y X xxA sub xxB xxA sub Div yyB yyA sub mul yyA add def +/NAngle yyB yyA sub xxB xxA sub Atan def } def +/VPutLine { VPosBegin /yyA ED /xxA ED /yyB ED /xxB ED VPosEnd } def +/VPutLines { VPosBegin xB xA ge { /check { le } def } { /check { ge } def +} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { 1 index X check { +exit } { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark +VPosEnd } def +/HPutCurve { gsave newpath /SaveLPutVar /LPutVar load def LPutVar 8 -2 +roll moveto curveto flattenpath /LPutVar [ {} {} {} {} pathforall ] cvx +def grestore exec /LPutVar /SaveLPutVar load def } def +/NCCoor { /AngleA yB yA sub xB xA sub Atan def /AngleB AngleA 180 add def +GetEdgeA GetEdgeB /LPutVar [ xB1 yB1 xA1 yA1 ] cvx def /LPutPos { +LPutVar LPutLine } def /HPutPos { LPutVar HPutLine } def /VPutPos { +LPutVar VPutLine } def LPutVar } def +% +/NCLine { + NCCoor + tx@Dict begin + ArrowA CP 4 2 roll + ArrowB + lineto pop pop + end +} def +% +/NCLines { + false NArray + n 0 eq + { NCLine } + { 2 copy yA sub exch xA sub Atan /AngleA ED + n 2 mul dup index exch index yB sub exch xB sub + Atan /AngleB ED + GetEdgeA GetEdgeB + /LPutVar [ xB1 yB1 n 2 mul 4 add 4 roll xA1 yA1 ] cvx def + mark LPutVar + tx@Dict begin false Line end + /LPutPos { LPutLines } def + /HPutPos { HPutLines } def + /VPutPos { VPutLines } def + } ifelse +} def +% +/NCCurve { + GetEdgeA + GetEdgeB + xA1 xB1 sub yA1 yB1 sub Pyth 2 div dup 3 -1 +roll mul /ArmA ED mul /ArmB ED /ArmTypeA 0 def /ArmTypeB 0 def GetArmA +GetArmB xA2 yA2 xA1 yA1 tx@Dict begin ArrowA end xB2 yB2 xB1 yB1 tx@Dict +begin ArrowB end curveto /LPutVar [ xA1 yA1 xA2 yA2 xB2 yB2 xB1 yB1 ] +cvx def /LPutPos { t LPutVar BezierMidpoint } def /HPutPos { { HPutLines +} HPutCurve } def /VPutPos { { VPutLines } HPutCurve } def } def +% +/NCAngles { + GetEdgeA GetEdgeB GetArmA GetArmB + /mtrx AngleA matrix rotate def + xA2 yA2 mtrx transform pop + xB2 yB2 mtrx transform exch pop + mtrx itransform + /y0 ED /x0 ED + mark ArmB 0 ne { xB1 yB1 } if + xB2 yB2 x0 y0 xA2 yA2 + ArmA 0 ne { xA1 yA1 } if + tx@Dict begin false Line end + /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA2 yA2 xA1 yA1 ] cvx def + /LPutPos { LPutLines } def + /HPutPos { HPutLines } def + /VPutPos { VPutLines } def } def +% +/NCAngle { + GetEdgeA GetEdgeB GetArmB + /mtrx AngleA matrix rotate def + xB2 yB2 mtrx itransform pop xA1 yA1 mtrx itransform exch pop mtrx transform + /y0 ED /x0 ED + mark + ArmB 0 ne { xB1 yB1 } if + xB2 yB2 x0 y0 xA1 yA1 + tx@Dict begin false Line end + /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA1 yA1 ] cvx def + /LPutPos { LPutLines } def + /HPutPos { HPutLines } def + /VPutPos { VPutLines } def +} def +% +/NCBar { + GetEdgeA GetEdgeB GetArmA GetArmB + /mtrx AngleA matrix rotate def + xA2 yA2 mtrx itransform pop + xB2 yB2 mtrx itransform pop + sub dup 0 mtrx transform + 3 -1 roll 0 gt + { /yB2 exch yB2 add def /xB2 exch xB2 add def } + { /yA2 exch neg yA2 add def /xA2 exch neg xA2 add def } ifelse + mark + ArmB 0 ne { xB1 yB1 } if + xB2 yB2 xA2 yA2 ArmA 0 ne { xA1 yA1 } if + tx@Dict begin false Line end + /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def + /LPutPos { LPutLines } def + /HPutPos { HPutLines } def + /VPutPos { VPutLines } def +} def +% +/NCDiag { + /lineAngle ED + GetEdgeA GetEdgeB GetArmA GetArmB mark + lineAngle abs 0 gt { + /xTemp xA2 10 add def + /yTemp yA2 lineAngle dup sin exch cos div 10 mul add def + /dY1 yTemp yA2 sub def + /dX1 xTemp xA2 sub def + /dY2 yB2 yB1 sub def + /dX2 xB2 xB1 sub def + dX1 abs 0.01 lt { + /m2 dY2 dX2 div def + /xB2 xA2 def + /yB2 xA2 xB1 sub m2 mul yB1 add def + }{ + dX2 abs 0.01 lt { + /m1 dY1 dX1 div def + /xB2 xB1 def + /yB2 xB1 xA2 sub m1 mul yA2 add def + }{% + /m1 dY1 dX1 div def + /m2 dY2 dX2 div def + /xB2 m1 xA2 mul m2 xB1 mul sub yA2 sub yB1 add m1 m2 sub div def + /yB2 xB2 xA2 sub m1 mul yA2 add def + } ifelse + } ifelse + } if + ArmB 0 ne { xB1 yB1 } if + xB2 yB2 xA2 yA2 + ArmA 0 ne { xA1 yA1 } if + tx@Dict begin false Line end + /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def + /LPutPos { LPutLines } def + /HPutPos { HPutLines } def + /VPutPos { VPutLines } def +% +% GetEdgeA GetEdgeB GetArmA GetArmB mark +% ArmB 0 ne { xB1 yB1 } if +% xB2 yB2 xA2 yA2 +% ArmA 0 ne { xA1 yA1 } if +% tx@Dict begin false Line end +% /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def +% /LPutPos { LPutLines } def +% /HPutPos { HPutLines } def +% /VPutPos { VPutLines } def +} def +% +/NCDiagg { + /lineAngle ED + GetEdgeA GetArmA + lineAngle abs 0 gt + { lineAngle } + { yB yA2 sub xB xA2 sub Atan 180 add } ifelse + /AngleB ED + GetEdgeB mark + lineAngle abs 0 gt { + /dY2 yA2 yA1 sub def + /dX2 xA2 xA1 sub def + lineAngle abs 90 eq { + /m2 dY2 dX2 div def + /yA2 xB xA2 sub m2 mul yA2 add def + /xA2 xB def + }{ + /m1 lineAngle dup sin exch cos div def % tan alpha + dX2 abs 0.01 lt { + /yA2 xA1 xB sub m1 mul yB add def + /xA2 xA1 def + }{% + /m2 dY2 dX2 div def + /xA2 m1 xB mul m2 xA2 mul sub yA2 add yB sub m1 m2 sub div def + /yA2 xA2 xB sub m1 mul yB add def + } ifelse + } ifelse + } if + xB1 yB1 xA2 yA2 + ArmA 0 ne { xA1 yA1 } if + tx@Dict begin false Line end + /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def + /LPutPos { LPutLines } def + /HPutPos { HPutLines } def + /VPutPos { VPutLines } def +% +% GetEdgeA GetArmA +% yB yA2 sub xB xA2 sub Atan 180 add /AngleB ED +% GetEdgeB +% mark +% xB1 yB1 xA2 yA2 +% ArmA 0 ne { xA1 yA1 } if +% tx@Dict begin false Line end +% /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def +% /LPutPos { LPutLines } def +% /HPutPos { HPutLines } def +% /VPutPos { VPutLines } def +} def +% +/NCLoop { + GetEdgeA GetEdgeB GetArmA GetArmB + /mtrx AngleA matrix rotate def + xA2 yA2 mtrx transform loopsize add /yA3 ED /xA3 ED + /xB3 xB2 yB2 mtrx transform pop def + xB3 yA3 mtrx itransform /yB3 ED /xB3 ED + xA3 yA3 mtrx itransform /yA3 ED /xA3 ED + mark ArmB 0 ne { xB1 yB1 } if + xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 ArmA 0 ne { xA1 yA1 } if + tx@Dict begin false Line end + /LPutVar [ xB1 yB1 xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 xA1 yA1 ] cvx def + /LPutPos { LPutLines } def + /HPutPos { HPutLines } def + /VPutPos { VPutLines } def +} def +% +% DG/SR modification begin - May 9, 1997 - Patch 1 +%/NCCircle { 0 0 NodesepA nodeA \tx@GetEdge pop xA sub 2 div dup 2 exp r +%r mul sub abs sqrt atan 2 mul /a ED r AngleA 90 add PtoC yA add exch xA add +%exch 2 copy /LPutVar [ 4 2 roll r AngleA ] cvx def /LPutPos { LPutVar t 360 +%mul add dup 5 1 roll 90 sub \tx@PtoC 3 -1 roll add /Y ED add /X ED /NAngle ED +% +/NCCircle { + NodeSepA 0 NodeA 0 GetEdge pop + 2 div dup 2 exp r r mul sub abs sqrt + atan 2 mul /a ED + r AngleA 90 add PtoC yA add exch xA add + exch 2 copy + /LPutVar [ 4 2 roll r AngleA ] cvx def + /LPutPos { + LPutVar t 360 mul add dup 5 1 roll 90 sub PtoC + 3 -1 roll add + /Y ED add /X ED /NAngle ED +% DG/SR modification end + } def + /HPutPos { LPutPos } def + /VPutPos { LPutPos } def + r AngleA 90 sub a add AngleA 270 add a sub + tx@Dict begin + /angleB ED /angleA ED /r ED + /c 57.2957 r Div def + /y ED /x ED +} def +% +/NCBox { + /d ED /h ED + /AngleB yB yA sub xB xA sub Atan def + /AngleA AngleB 180 add def + GetEdgeA GetEdgeB + /dx d AngleB sin mul def + /dy d AngleB cos mul neg def + /hx h AngleB sin mul neg def + /hy h AngleB cos mul def + /LPutVar [ + xA1 hx add yA1 hy add xB1 hx add yB1 hy add + xB1 dx add yB1 dy add xA1 dx add yA1 dy add ] cvx def + /LPutPos { LPutLines } def + /HPutPos { xB yB xA yA LPutLine } def + /VPutPos { HPutPos } def + mark + LPutVar tx@Dict begin false Polygon end +} def +% +/NCArcBox { + /l ED neg /d ED /h ED /a ED + /AngleA yB yA sub xB xA sub Atan def + /AngleB AngleA 180 add def + /tA AngleA a sub 90 add def + /tB tA a 2 mul add def + /r xB xA sub tA cos tB cos sub Div dup 0 eq { pop 1 } if def + /x0 xA r tA cos mul add def + /y0 yA r tA sin mul add def + /c 57.2958 r div def + /AngleA AngleA a sub 180 add def + /AngleB AngleB a add 180 add def + GetEdgeA GetEdgeB + /AngleA tA 180 add yA yA1 sub xA xA1 sub Pyth c mul sub def + /AngleB tB 180 add yB yB1 sub xB xB1 sub Pyth c mul add def + l 0 eq { + x0 y0 r h add AngleA AngleB arc x0 y0 r d add AngleB AngleA arcn + }{ + x0 y0 translate + /tA AngleA l c mul add def + /tB AngleB l c mul sub def + 0 0 r h add tA tB arc r h add + AngleB PtoC r d add + AngleB PtoC 2 copy + 6 2 roll l arcto 4 { pop } repeat + r d add tB PtoC l arcto 4 { pop } repeat + 0 0 r d add tB tA arcn r d add + AngleA PtoC r h add + AngleA PtoC 2 copy 6 2 roll + l arcto 4 { pop } repeat + r h add tA PtoC l arcto 4 { pop } repeat + } ifelse + closepath + /LPutVar [ x0 y0 r AngleA AngleB h d ] cvx def + /LPutPos { + LPutVar /d ED /h ED + /AngleB ED /AngleA ED + /r ED /y0 ED /x0 ED + t 1 le { + r h add AngleA 1 t sub mul AngleB t mul add dup 90 add /NAngle ED PtoC + }{t 2 lt { + /NAngle AngleB 180 add def r 2 t sub + h mul t 1 sub d mul add add AngleB PtoC + }{ + t 3 lt { + r d add AngleB 3 t sub mul AngleA 2 t sub + mul add dup 90 sub /NAngle ED PtoC + }{ + /NAngle AngleA 180 add def + r 4 t sub d mul t 3 sub h mul add add AngleA PtoC + } ifelse + } ifelse + } ifelse + y0 add /Y ED x0 add /X ED + } def + /HPutPos { LPutPos } def + /VPutPos { LPutPos } def +} def +% +/Tfan { /AngleA yB yA sub xB xA sub Atan def GetEdgeA w xA1 xB sub yA1 yB +sub Pyth Pyth w Div CLW 2 div mul 2 div dup AngleA sin mul yA1 add /yA1 +ED AngleA cos mul xA1 add /xA1 ED /LPutVar [ xA1 yA1 m { xB w add yB xB +w sub yB } { xB yB w sub xB yB w add } ifelse xA1 yA1 ] cvx def /LPutPos +{ LPutLines } def /VPutPos@ { LPutVar flag { 8 4 roll pop pop pop pop } +{ pop pop pop pop 4 2 roll } ifelse } def /VPutPos { VPutPos@ VPutLine } +def /HPutPos { VPutPos@ HPutLine } def mark LPutVar tx@Dict begin +/ArrowA { moveto } def /ArrowB { } def false Line closepath end } def +% +/LPutCoor { + NAngle + tx@Dict begin /NAngle ED end + gsave + CM STV + CP Y sub neg exch X sub neg exch moveto + setmatrix CP + grestore +} def +% +/LPut { + tx@NodeDict /LPutPos known + { LPutPos } { CP /Y ED /X ED /NAngle 0 def } ifelse + LPutCoor +} def +% +/HPutAdjust { + Sin Cos mul 0 eq + { 0 } + { d Cos mul Sin div flag not { neg } if + h Cos mul Sin div flag { neg } if + 2 copy gt { pop } { exch pop } ifelse + } ifelse + s add flag { r add neg }{ l add } ifelse + X add /X ED +} def +% +/VPutAdjust { + Sin Cos mul + 0 eq + { 0 } + { l Sin mul Cos div flag { neg } if + r Sin mul Cos div flag not { neg } if + 2 copy gt { pop } { exch pop } ifelse + } ifelse + s add flag { d add } { h add neg } ifelse + Y add /Y ED +} def +% +% +end +% +% END pst-node.pro + +%%EndProcSet +%%BeginProcSet: pst-3d.pro 0 0 +%% $Id: pst-3d.pro 247 2010-01-04 22:45:42Z herbert $ +% PostScript prologue for pst-3d.tex. +% Version 0.01, 2010/01/01 +% +/tx@3Ddict 300 dict def +tx@3Ddict begin +% +/SetMatrixThreeD { + dup sin /e ED cos /f ED + /p3 ED /p2 ED /p1 ED + p1 0 eq + { /a 0 def /b p2 0 le { 1 } { -1 } ifelse def + p3 p2 abs + } + { p2 0 eq + { /a p1 0 lt { -1 } { 1 } ifelse def /b 0 def + p3 p1 abs + } + { p1 dup mul p2 dup mul add sqrt dup + p1 exch div /a ED + p2 exch div neg /b ED + p3 p1 a div + } + ifelse + } + ifelse + atan dup sin /c ED cos /d ED + /Matrix3D + [ + b f mul c a mul e mul sub + a f mul c b mul e mul add + d e mul + b e mul neg c a mul f mul sub + a e mul neg c b mul f mul add + d f mul + ] def +} def +% +/ProjThreeD { + /z ED /y ED /x ED + Matrix3D aload pop + z mul exch y mul add exch x mul add + 4 1 roll + z mul exch y mul add exch x mul add + exch +} def +% +/SetMatrixEmbed { + SetMatrixThreeD + Matrix3D aload pop + /z3 ED /z2 ED /z1 ED /x3 ED /x2 ED /x1 ED + SetMatrixThreeD + [ + Matrix3D aload pop + z3 mul exch z2 mul add exch z1 mul add 4 1 roll + z3 mul exch z2 mul add exch z1 mul add + Matrix3D aload pop + x3 mul exch x2 mul add exch x1 mul add 4 1 roll + x3 mul exch x2 mul add exch x1 mul add + 3 -1 roll 3 -1 roll 4 -1 roll 8 -3 roll 3 copy + x3 mul exch x2 mul add exch x1 mul add 4 1 roll + z3 mul exch z2 mul add exch z1 mul add + ] + concat +} def +% +/TMSave { + tx@Dict /TMatrix known not { /TMatrix { } def /RAngle { 0 } def } if + /TMatrix [ TMatrix CM ] cvx def +} def +% +/TMRestore { CP /TMatrix [ TMatrix setmatrix ] cvx def moveto } def +% +/TMChange { + TMSave + /cp [ currentpoint ] cvx def % ??? Check this later. + CM + CP T STV + CM matrix invertmatrix % Inv(M') + matrix concatmatrix % M Inv(M') + exch exec + concat cp moveto +} def +% +end % of tx@3Ddict +%% +%% End of file `pst-3d.pro'. + +%%EndProcSet +%%BeginProcSet: pst-math.pro 0 0 +% -*- Mode: Postscript -*- +% pst-math.pro --- PostScript header file pst-math.pro +% +% Author : Christophe JORSSEN +% Author : Herbert Voß <hvoss@tug.org> +% Created the : Sat 20 March 2004 +% Last Mod : $Date: 2010/10/02 $ +% Version : 0.62 $ +% +/PI 3.14159265359 def +/ENeperian 2.71828182846 def +% +/DegToRad {PI mul 180 div} bind def +/RadToDeg {180 mul PI div} bind def +% +/COS {RadToDeg cos} bind def +/SIN {RadToDeg sin} bind def +/TAN {dup SIN exch COS Div} bind def +/tan {dup sin exch cos Div} bind def +/ATAN {neg -1 atan 180 sub DegToRad} bind def +/ACOS {dup dup mul neg 1 add sqrt exch atan DegToRad} bind def +/acos {dup dup mul neg 1 add sqrt exch atan} bind def +/ASIN {neg dup dup mul neg 1 add sqrt neg atan 180 sub DegToRad} bind def +/asin {neg dup dup mul neg 1 add sqrt neg atan 180 sub} bind def +% +/EXP {ENeperian exch exp} bind def +% +/COSH {dup EXP exch neg EXP add 2 div} bind def +/SINH {dup EXP exch neg EXP sub 2 div} bind def +/TANH {dup SINH exch COSH div} bind def +/ACOSH {dup dup mul 1 sub sqrt add ln} bind def +/ASINH {dup dup mul 1 add sqrt add ln} bind def +/ATANH {dup 1 add exch neg 1 add Div ln 2 div} bind def +% +%/SINC {dup SIN exch Div} bind def +/SINC { dup 0 eq { pop 1 } { dup SIN exch div } ifelse } bind def + +/GAUSS {dup mul 2 mul dup 4 -2 roll sub dup mul exch div neg EXP exch PI mul sqrt div} bind def +% +/GAMMA { 2 dict begin % hv 2007-08-30 + /z exch def + 1.000000000190015 % p(0) + 0 1 5 { % on stack is 0 1 2 3 4 5 + dup % n-1 n-1 + [ 76.18009172947146 + -86.50532032941677 + 24.0140982483091 + -1.231739572450155 + 0.1208650973866179E-2 + -0.5395239384953E-5 ] exch get exch % p(n) n-1 + 1 add z add div % p(n)/(z+n) + add % build the sum + } for + Pi 2 mul sqrt z div mul + z 5.5 add z 0.5 add exp mul ENeperian z 5.5 add neg exp mul + end } bind def +% +/GAMMALN {dup dup dup 5.5 add dup ln 3 -1 roll .5 add mul sub neg 1.000000000190015 + 0 1 5 { + [76.18009172947146 -86.50532032941677 24.0140982483091 -1.231739572450155 + .1208650973866179E-2 -.5395239384953E-5 2.5066282746310005] exch get + 4 -1 roll 1 add dup 5 1 roll div add} for + 4 -1 roll div 2.5066282746310005 mul ln add exch pop} bind def +/BETA {2 copy add GAMMALN neg exch GAMMALN 3 -1 roll GAMMALN EXP} bind def +% +/HORNER {aload length + dup 2 add -1 roll + exch 1 sub { + dup 4 1 roll + mul add exch + } repeat + pop +} bind def +% +/BESSEL_J0 {dup abs 8 lt { + dup mul dup [57568490574 -13362590354 651619640.7 -11214424.18 77392.33017 -184.9052456] HORNER + exch [57568490411 1029532985 9494680.718 59272.64853 267.8532712 1] HORNER + Div} + {abs dup .636619772 exch div sqrt exch dup .785398164 sub exch 8 exch div dup dup mul dup + [1 -1.098628627E-2 .2734510407E-4 -.2073370639E-5 .2093887211E-6] HORNER + 3 index COS mul + exch [-.1562499995E-1 .1430488765E-3 -.6911147651E-5 .7621095161E-6 -.934945152E-7] HORNER + 4 -1 roll SIN mul 3 -1 roll mul neg add mul} + ifelse} bind def +% +/BESSEL_Y0 {dup 8 lt { + dup dup mul dup [-2957821389 7062834065 -512359803.6 10879881.29 -86327.92757 228.4622733] HORNER + exch [40076544269 745249964.8 7189466.438 47447.26470 226.1030244 1] HORNER + Div exch dup ln exch BESSEL_J0 .636619772 mul mul add} + {dup .636619772 exch div sqrt exch dup .785398164 sub exch 8 exch div dup dup mul dup + [1 -.1098628627E-2 .2734510407E-4 -.2073370639E-5 .2093887211E-6] HORNER + 3 index SIN mul + exch [-.1562499995E-1 .1430488765E-3 -.6911147651E-5 .7621095161E-6 -.934945152E-7] HORNER + 4 -1 roll COS mul 3 -1 roll mul add mul} + ifelse} bind def +% +/BESSEL_J1 {dup abs 8 lt { + dup dup mul dup 3 -2 roll [72362614232 -7895059235 242396853.1 -2972611.439 15704.48260 -30.16036606] HORNER mul + exch [144725228442 2300535178 18583304.74 99447.43394 376.9991397 1] HORNER + Div} + {dup abs dup .636619772 exch div sqrt exch dup 2.356194491 sub exch 8 exch div dup dup mul dup + [1 .183105E-2 -.3516396496E-4 .2457520174E-5 -.240337019E-6] HORNER + 3 index COS mul + exch [.04687499995 6.2002690873E-3 .8449199096E-5 -.88228987E-6 .105787412E-6] HORNER + 4 -1 roll SIN mul 3 -1 roll mul neg add mul exch dup abs Div mul} + ifelse} bind def +% +/BESSEL_Y1 {dup 8 lt { + dup dup dup mul dup [-.4900604943E13 .1275274390E13 -.5153428139E11 .7349264551E9 -.4237922726E7 .8511937935E4] HORNER + exch [.2499580570E14 .4244419664E12 .3733650367E10 .2245904002E8 .1020426050E6 .3549632885E3 1] HORNER + Div mul exch dup dup ln exch BESSEL_J1 mul exch 1 exch div sub .636619772 mul add} + {dup .636619772 exch div sqrt exch dup 2.356194491 sub exch 8 exch div dup dup mul dup + [1 .183105E-2 -.3516396496E-4 .2457520174E-5 -.240337019E-6] HORNER + 3 index SIN mul + exch [.04687499995 -.2002690873E-3 .8449199096E-5 6.88228987E-6 .105787412E-6] HORNER + 4 -1 roll COS mul 3 -1 roll mul add mul} + ifelse} bind def +% +% En cours... +/BESSEL_Yn {dup 0 eq {pop BESSEL_Y0}{dup 1 eq {pop BESSEL_Y1}{ + exch dup BESSEL_Y0 exch dup BESSEL_Y1 exch 2 exch Div { + mul 3 -1 roll mul 2 index sub pstack} for + } ifelse } ifelse } bind def +% +/SIMPSON { 1 dict begin %% on stack a b var f ierr Dominik Rodriguez + 3 index 5 index sub % compute h + 1 % a b var f ierr h n + 4 index 7 index def 3 index exec % a b var f ierr h n f(a) + 5 index 7 index def 4 index exec add % a b var f ierr h n f(a)+f(b) + 5 index 8 index 4 index 2 div add def 4 index exec % a b var f ierr h n f(a)+f(b) f(a+h/2) + exch 1 index 4 mul add 0 % a b var f ierr h n old=f(a+h/2) Estim=f(a)+f(b)+4f(a+h/2) NbLoop + { % a b var f ierr h n old Estim NbLoop + 5 -1 roll 2 div dup 6 1 roll % h<-h/2 + 5 -1 roll 2 mul 5 1 roll % n<-2n + % a b var f ierr h n old Estim NbLoop h + 2 div 10 index add 0 % a b var f ierr h n old Estim NbLoop a+h/2 Cumul + 5 index { + 1 index 10 index exch def 8 index exec add exch 6 index add exch + } repeat % a b var f ierr h n old Estim NbLoop a+nh/2 Cumul + exch pop % a b var f ierr h n old Estim NbLoop New + 2 index 1 index 4 mul 6 -1 roll 2 mul sub sub % a b var f ierr h n Estim NbLoop New Diff + 4 -1 roll 2 mul 1 index sub 4 1 roll % a b var f ierr h n Estim NbLoop New Diff + exch 4 1 roll % a b var f ierr h n old Estim NbLoop Diff + 5 index 6 div mul abs 6 index lt { exit } if + 1 add dup 9 eq { exit } if + } loop % a b var f ierr h n old Estim NbLoop + exch 5 -1 roll 6 div mul mark 10 2 roll cleartomark +end +} def +% ------------------------------------ math stuff ---------------------------------- +% +% Matrix A in arrays of rows A[[row1][row2]...] +% with [row1]=[a11 a12 ... b1] +% returns on stack solution vector X=[x1 x2 ... xn] +/SolveLinEqSystem { % on stack matrix M=[A,b] (A*x=b) + 10 dict begin % hold all ocal + /A exch def + /Rows A length def % Rows = number of rows + /Cols A 0 get length def % Cols = number of columns + /Index [ 0 1 Rows 1 sub { } for ] def % Index = [0 1 2 ... Rows-1] + /col 0 def + /row 0 def + /PR Rows array def % PR[c] = pivot row for row row + { % starts the loop, find pivot entry in row r + col Cols ge row Rows ge or { exit } if % col < Cols and row < Rows else exit + /pRow row def % pRow = pivot row + /max A row get col get abs def % get A[row[col]], first A[0,0] + row 1 add 1 Rows 1 sub { % starts for loop 1 1 Rows-1 + /j exch def % index counter + /x A j get col get abs def % get A[j[r]] + x max gt { % x>max, then save position + /pRow j def + /max x def + } if + } for % now we have the row with biggest A[0,1] + % with pRow = the pivot row + max 0 gt { % swap entries pRow and row in i + /tmp Index row get def + Index row Index pRow get put + Index pRow tmp put % and columns pRow and row in A + /tmp A row get def + A row A pRow get put + A pRow tmp put % pivot + /row0 A row get def % the pivoting row + /p0 row0 col get def % the pivot value + row 1 add 1 Rows 1 sub { % start for loop + /j exch def + /c1 A j get def + /p c1 col get p0 div def + c1 col p put % subtract (p1/p0)*row[i] from row[j] + col 1 add 1 Cols 1 sub { % start for loop + /i exch def + c1 dup i exch % c1 i c1 + i get row0 i get p mul sub put + } for + } for + PR row col put + /col col 1 add def + /row row 1 add def + }{ % all zero entries + /row row 1 add def % continue loop with same row + } ifelse + } loop + /X A def % solution vector + A Rows 1 sub get dup + Cols 1 sub get exch + Cols 2 sub get div + X Rows 1 sub 3 -1 roll put % X[n] + Rows 2 sub -1 0 { % for loop to calculate X[i] + /xi exch def % current index + A xi get % i-th row + /Axi exch def + /sum 0 def + Cols 2 sub -1 xi 1 add { + /n exch def + /sum sum Axi n get X n get mul add def + } for + Axi Cols 1 sub get % b=Axi[Cols-1] + sum sub % b-sum + Axi xi get div % b-sum / Axi[xi] + X xi 3 -1 roll put % X[xi] + } for + X + end +} def +% +/c@_0 2.515517 def +/c@_1 0.802853 def +/c@_2 0.010328 def +/d@_1 1.432788 def +/d@_2 0.189269 def +/d@_3 0.001308 def +/norminv { + 5 dict begin + neg 1 add 1 exch div ln 2 mul sqrt + /t exch def + /t2 t dup mul def + /t3 t2 t mul def + c@_0 c@_1 t mul add c@_2 t2 mul add 1 d@_1 t mul add + d@_2 t2 mul add d@_3 t3 mul add div neg t add + end +} def +%end{norminv Michael Sharpe} +% +% +% END pst-math.pro + +%%EndProcSet +%%BeginProcSet: pstricks-add.pro 0 0 +%% $Id: pstricks-add.pro 328 2010-05-24 15:56:43Z herbert $ +% PostScript prologue for pstricks-add.tex. +% Version 0.23, 2009/12/17 +% +/tx@addDict 410 dict def tx@addDict begin +%% +realtime srand % set random generator +% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +/GTriangle { + gsave + /mtrx CM def + /colorA ED /colorB ED /colorC ED % save the colors + /yA ED /xA ED % save the origin + xA yA translate + rotate % \psk@gangle + /yB ED /xB ED /yC ED /xC ED % save other coordinates + /ds [ % save data in a array + 0 0 0 colorA aload pop % fd x y xr xg xb + 0 xB xA sub yB yA sub colorB aload pop + 0 xC xA sub yC yA sub colorC aload pop +% 1 xC xB add yB colorA aload pop % for use with 4 points ABCD + ] def + newpath + << + /ShadingType 4 % single Gouraud + /ColorSpace [ /DeviceRGB ] + /DataSource ds + >> + shfill + closepath + mtrx + setmatrix grestore} def +% +/RGBtoCMYK { % on stack r g b -> C M Y K + 3 dict begin + /Blue ED /Green ED /Red ED + 1 Red sub % Cyan + 1 Green sub % Magenta + 1 Blue sub % Yellow + 0 % Black + end +} def +% +/CMYKtoGRAY { % on stack c m y k -> gray + exch 0.11 mul add + exch 0.59 mul add + exch 0.3 mul add + dup 1 gt { pop 1 } if + neg 1 add +} def +% +/RGBtoGRAY { % on stack r g b -> gray + 0.11 mul + exch 0.59 mul add + exch 0.3 mul add +} def +% +/HSBtoGRAY { + 6 dict begin + /b exch def + /s exch def 6 mul dup cvi dup + /i exch def sub + /f exch def + /F [[0 1 f sub 1][f 0 1][1 0 1 f sub][1 f 0][1 f sub 1 0][0 1 f][0 1 1]] def + F i get { s mul neg 1 add b mul} forall + 0.11 mul + exch 0.59 mul add + exch 0.3 mul add + end +} def +% +%% convertisseur longueur d'onde ->R,G,B Manuel Luque +%% lambda max=780 nanometres +%% lambda min=380 nanometres +%% adaptation de : +%% http://www.physics.sfasu.edu/astro/color.html +%% www.efg2.com/lab +% +/Gamma 0.8 def +/calculateRGB { + lambda 379 le {/Red 0 def /Green 0 def /Blue 0 def} if + lambda 781 ge {/Red 0 def /Green 0 def /Blue 0 def} if + lambda 380 ge {lambda 439 le { + /R {lambda 440 sub neg 440 380 sub div} def + /Red R factor mul Gamma exp def + /G 0 def + /Green G factor mul Gamma exp def + /B 1 def + /Blue B factor mul Gamma exp def} if + } if + lambda 440 ge { lambda 489 le { + /G {lambda 440 sub 490 440 sub div} def + /Green G factor mul Gamma exp def + /R 0 def /Red 0 def + /B 1 def + /Blue B factor mul Gamma exp def } if + } if + lambda 490 ge {lambda 509 le { + /B {lambda 510 sub neg 510 490 sub div} def + /Blue B factor mul Gamma exp def + /R 0 def /Red 0 def + /G 1 def + /Green G factor mul Gamma exp def } if + } if + lambda 510 ge {lambda 579 le { + /R {lambda 510 sub 580 510 sub div } def + /Red R factor mul Gamma exp def + /Blue 0 def + /G 1 def + /Green G factor mul Gamma exp def } if + } if + lambda 580 ge {lambda 644 le { + /G {lambda 645 sub neg 645 580 sub div } def + /Green G factor mul Gamma exp def + /Blue 0 def + /R 1 def + /Red R factor mul Gamma exp def } if + } if + lambda 645 ge { lambda 780 le { + /Red 1 factor mul Gamma exp def + /Blue 0 def + /Green 0 def } if + } if +} def +% +/factor { + lambda 380 ge {lambda 419 le { 0.3 0.7 lambda 380 sub mul 420 380 sub div add} if } if + lambda 420 ge {lambda 700 le { 1 } if } if + lambda 701 ge {lambda 780 le { 0.3 0.7 780 lambda sub mul 780 700 sub div add} if } if +} def +% +/wavelengthToRGB { % the wavelength in nm must be on top of the stack + cvi /lambda exch def % no floating point here + calculateRGB +} def % now the colors are saved in Red Green Blue +% +/wavelengthToGRAY { % the wavelength in nm must be on top of the stack + cvi /lambda exch def % no floating point here + calculateRGB + Red Green Blue RGBtoGRAY +} def % now the gray color is on the stack +% +/wavelengthToCMYK { % the wavelength in nm must be on top of the stack + cvi /lambda exch def % no floating point here + gsave + calculateRGB Red Green Blue RGBtoCMYK + /Black ED /Yellow ED /Magenta ED /Cyan ED + grestore +} def % now the colors are saved in Cyan Magenta Yellow Black +% +/axfill { + 8 dict begin + /xw exch def /nl exch def + /C1 exch def /y1 exch def/x1 exch def + /C0 exch def /y0 exch def/x0 exch def + << /ShadingType 2 + /ColorSpace /DeviceRGB + /Coords [ x0 y0 x1 y1 ] + /EmulatorHints [ xw 2 div dup ] + /Function << + /FunctionType 2 + /Domain [0 1] + /C0 C0 + /C1 C1 + /N 1 + >> + >> shfill + end +} bind def +% +%/amplHand {.8} def +%/dtHand 2 def +/varHand { rand sin amplHand mul add } def +/MovetoByHand { moveto } def +%/MovetoByHand { /y0 ED /x0 ED x0 y0 moveto } def +/LinetoByHand { 4 dict begin + /y1 ED /x1 ED + currentpoint /y0 ED /x0 ED + x0 x1 sub dup mul y0 y1 sub dup mul add sqrt /dEnd ED + 0 dtHand dEnd { dup + x1 x0 sub mul dEnd div x0 add varHand exch + y1 y0 sub mul dEnd div y0 add varHand lineto + } for +% /x0 x1 def /y0 y1 def + end +} def +% +end +% +% END pstricks-add.pro + +%%EndProcSet +%%BeginProcSet: OpenLine.pro 0 0 +%%%%%%%%%%%%%%%%%%%%%%%%%% OpenLine %%%%%%%%%%%%%%%%%%%%%%%% +% copy of /Line +% removed possibility to plot arrows +/OpenLine { + NArray + n 0 eq not + { n 1 eq + { 0 0 /n 2 def } if + /n n 1 sub def % last point in stack is first point from plot (to plot closed curves) + n { moveto 2 copy Lineto } repeat + pop pop % remove first point from stack + } if +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%%EndProcSet +%%BeginProcSet: lm-ec.enc 0 0 +% This file belongs to the Latin Modern package. The work is released +% under the GUST Font License. See the MANIFEST-Latin-Modern.txt and +% README-Latin-Modern.txt files for the details. For the most recent version of +% this license see http://www.gust.org.pl/fonts/licenses/GUST-FONT-LICENSE.txt +% or http://tug.org/fonts/licenses/GUST-FONT-LICENSE.txt + +/enclmec[ +/grave +/acute +/circumflex +/tilde +/dieresis +/hungarumlaut +/ring +/caron +/breve +/macron +/dotaccent +/cedilla +/ogonek +/quotesinglbase +/guilsinglleft +/guilsinglright +/quotedblleft +/quotedblright +/quotedblbase +/guillemotleft +/guillemotright +/endash +/emdash +/cwm +/perthousandzero +/dotlessi +/dotlessj +/ff +/fi +/fl +/ffi +/ffl +/uni2423 +/exclam +/quotedbl +/numbersign +/dollar +/percent +/ampersand +/quoteright +/parenleft +/parenright +/asterisk +/plus +/comma +/hyphen +/period +/slash +/zero +/one +/two +/three +/four +/five +/six +/seven +/eight +/nine +/colon +/semicolon +/less +/equal +/greater +/question +/at +/A +/B +/C +/D +/E +/F +/G +/H +/I +/J +/K +/L +/M +/N +/O +/P +/Q +/R +/S +/T +/U +/V +/W +/X +/Y +/Z +/bracketleft +/backslash +/bracketright +/asciicircum +/underscore 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CLW mul add dup 1.4 mul +exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 +ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.75 SLW 0.5 setgray + 1. .setopacityalpha 3.0 0 0 add DotLine grestore end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 0 -12.500000000000000000 sub 0.00 0.07114 +mul exch 0.18335 mul exch 0.0 0.0 /Lineto /lineto load def 0 setlinejoin +false NArray n 0 eq not { n 1 eq { 0 0 /n 2 def } if () length 0 gt +{ 1.5 2. CLW mul add dup 1.4 mul exch 0.4 mul neg add /arrowlength +exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 +sub Atan def ArrowA x1 Alpha cos arrowlength mul add y1 Alpha sin arrowlength +mul add /n n 1 sub def n { 4 copy /y1 ED /x1 ED /y2 ED /x2 ED x1 y1 +0.5 1 gt { /Alpha y2 y1 sub x2 x1 sub Atan def /ArrowPos 0. def /dArrowPos +0.5 abs def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x1 Alpha +cos ArrowPos mul add y1 Alpha sin ArrowPos mul add ArrowInside pop +pop } repeat }{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add +div }{0.5 } ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def +x2 x1 sub ArrowPos mul x1 add y2 y1 sub ArrowPos mul y1 add ArrowInside +pop pop } repeat } ifelse pop pop Lineto } repeat }{ ArrowA /n n 2 +sub def n { Lineto } repeat } ifelse CP 4 2 roll ArrowB L pop pop } +if gsave 0.5 SLW 0 setgray 1. .setopacityalpha 0 setlinejoin +0 setlinecap stroke grestore end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 1000 -12.500000000000000000 add 0.00 +0.07114 mul exch 0.18335 mul exch 183.34961 0.0 /Lineto /lineto +load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n +2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 +mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED +/Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { BeginArrow 1. 1. scale 2 setlinecap +0 0 moveto 0 0.1 L stroke 0 0 moveto EndArrow moveto } def /ArrowB +{ BeginArrow 1. 1. scale 2 setlinecap 0 0 moveto 0 0.1 L stroke 0 +0 moveto EndArrow } def /ArrowInside { } def 0.8 SLW 0 setgray + /ArrowA { BeginArrow 1. 1. scale 2 setlinecap 0 0 moveto 0 0.1 L +stroke 0 0 moveto EndArrow moveto } def /ArrowB { BeginArrow 1. +1. scale 2 setlinecap 0 0 moveto 0 0.1 L stroke 0 0 moveto EndArrow + } def /ArrowInside { } def [ 0.0 71.13647 0.0 0.0 /Lineto /lineto +load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n +2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 +mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED +/Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.8 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { BeginArrow 1. 1. scale 2 setlinecap +0 0 moveto 0 0.1 L stroke 0 0 moveto EndArrow moveto } def /ArrowB +{ BeginArrow 1. 1. scale 2 setlinecap 0 0 moveto 0 0.1 L stroke 0 +0 moveto EndArrow } def /ArrowInside { } def 0.8 SLW 0 setgray + /ArrowA { BeginArrow 1. 1. scale 2 setlinecap 0 0 moveto 0 0.1 L +stroke 0 0 moveto EndArrow moveto } def /ArrowB { BeginArrow 1. +1. scale 2 setlinecap 0 0 moveto 0 0.1 L stroke 0 0 moveto EndArrow + } def /ArrowInside { } def [ 183.34961 71.13647 183.34961 0.0 +/Lineto /lineto load def 0 setlinejoin false NArray n 0 eq not { +n 1 eq { 0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add dup +1.4 mul exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 +ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha +cos arrowlength mul add y1 Alpha sin arrowlength mul add /n n 1 sub +def n { 4 copy /y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha +y2 y1 sub x2 x1 sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs +def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x1 Alpha cos ArrowPos +mul add y1 Alpha sin ArrowPos mul add ArrowInside pop pop } repeat +}{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } +ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x2 x1 sub +ArrowPos mul x1 add y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop +} repeat } ifelse pop pop Lineto } repeat }{ ArrowA /n n 2 sub def +n { Lineto } repeat } ifelse CP 4 2 roll ArrowB L pop pop } if gsave +0.8 SLW 0 setgray 1. .setopacityalpha 0 setlinejoin 0 setlinecap +stroke grestore end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.75 SLW 0.5 setgray /ArrowA { moveto } def +/ArrowB { } def /ArrowInside { } def [ 21.83327 71.13647 21.83327 +0.0 /Lineto /lineto load def 0 setlinejoin false NArray n 0 eq +not { n 1 eq { 0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add +dup 1.4 mul exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 +ED /x1 ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA +x1 Alpha cos arrowlength mul add y1 Alpha sin arrowlength mul add /n +n 1 sub def n { 4 copy /y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt +{ /Alpha y2 y1 sub x2 x1 sub Atan def /ArrowPos 0. def /dArrowPos +0.5 abs def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x1 Alpha +cos ArrowPos mul add y1 Alpha sin ArrowPos mul add ArrowInside pop +pop } repeat }{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add +div }{0.5 } ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def +x2 x1 sub ArrowPos mul x1 add y2 y1 sub ArrowPos mul y1 add ArrowInside +pop pop } repeat } ifelse pop pop Lineto } repeat }{ ArrowA /n n 2 +sub def n { Lineto } repeat } ifelse CP 4 2 roll ArrowB L pop pop } +if gsave 0.75 SLW 0.5 setgray 1. .setopacityalpha 3.0 0 0 add + DotLine grestore end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 119.08 0 -40.000000000000000000 sub +0.07114 mul exch 0.18335 mul exch 21.83327 0.0 /Lineto /lineto load +def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n 2 def +} if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 mul +neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED /Alpha +y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength mul add +y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy /y1 ED /x1 +ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 sub Atan +def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos ArrowPos +dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin ArrowPos +mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def /dArrowPos +1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add y2 y1 sub +ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse pop pop Lineto +} repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat } ifelse CP 4 +2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray 1. .setopacityalpha + 0 setlinejoin 0 setlinecap stroke grestore end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 119.08 1000 -40.000000000000000000 +add 0.07114 mul exch 0.18335 mul exch 21.83327 71.13647 /Lineto +/lineto load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { +0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul +exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 +ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.75 SLW 0.5 setgray /ArrowA { moveto } def +/ArrowB { } def /ArrowInside { } def [ 43.66653 71.13647 43.66653 +0.0 /Lineto /lineto load def 0 setlinejoin false NArray n 0 eq +not { n 1 eq { 0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add +dup 1.4 mul exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 +ED /x1 ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA +x1 Alpha cos arrowlength mul add y1 Alpha sin arrowlength mul add /n +n 1 sub def n { 4 copy /y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt +{ /Alpha y2 y1 sub x2 x1 sub Atan def /ArrowPos 0. def /dArrowPos +0.5 abs def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x1 Alpha +cos ArrowPos mul add y1 Alpha sin ArrowPos mul add ArrowInside pop +pop } repeat }{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add +div }{0.5 } ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def +x2 x1 sub ArrowPos mul x1 add y2 y1 sub ArrowPos mul y1 add ArrowInside +pop pop } repeat } ifelse pop pop Lineto } repeat }{ ArrowA /n n 2 +sub def n { Lineto } repeat } ifelse CP 4 2 roll ArrowB L pop pop } +if gsave 0.75 SLW 0.5 setgray 1. .setopacityalpha 3.0 0 0 add + DotLine grestore end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 238.16 0 -40.000000000000000000 sub +0.07114 mul exch 0.18335 mul exch 43.66653 0.0 /Lineto /lineto load +def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n 2 def +} if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 mul +neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED /Alpha +y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength mul add +y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy /y1 ED /x1 +ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 sub Atan +def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos ArrowPos +dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin ArrowPos +mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def /dArrowPos +1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add y2 y1 sub +ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse pop pop Lineto +} repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat } ifelse CP 4 +2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray 1. .setopacityalpha + 0 setlinejoin 0 setlinecap stroke grestore end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 238.16 1000 -40.000000000000000000 +add 0.07114 mul exch 0.18335 mul exch 43.66653 71.13647 /Lineto +/lineto load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { +0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul +exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 +ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.75 SLW 0.5 setgray /ArrowA { moveto } def +/ArrowB { } def /ArrowInside { } def [ 65.4998 71.13647 65.4998 0.0 + /Lineto /lineto load def 0 setlinejoin false NArray n 0 eq not +{ n 1 eq { 0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add dup +1.4 mul exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 +ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha +cos arrowlength mul add y1 Alpha sin arrowlength mul add /n n 1 sub +def n { 4 copy /y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha +y2 y1 sub x2 x1 sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs +def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x1 Alpha cos ArrowPos +mul add y1 Alpha sin ArrowPos mul add ArrowInside pop pop } repeat +}{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } +ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x2 x1 sub +ArrowPos mul x1 add y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop +} repeat } ifelse pop pop Lineto } repeat }{ ArrowA /n n 2 sub def +n { Lineto } repeat } ifelse CP 4 2 roll ArrowB L pop pop } if gsave +0.75 SLW 0.5 setgray 1. .setopacityalpha 3.0 0 0 add DotLine +grestore end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 357.24 0 -40.000000000000000000 sub +0.07114 mul exch 0.18335 mul exch 65.4998 0.0 /Lineto /lineto load +def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n 2 def +} if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 mul +neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED /Alpha +y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength mul add +y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy /y1 ED /x1 +ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 sub Atan +def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos ArrowPos +dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin ArrowPos +mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def /dArrowPos +1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add y2 y1 sub +ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse pop pop Lineto +} repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat } ifelse CP 4 +2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray 1. .setopacityalpha + 0 setlinejoin 0 setlinecap stroke grestore end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 357.24 1000 -40.000000000000000000 +add 0.07114 mul exch 0.18335 mul exch 65.4998 71.13647 /Lineto /lineto +load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n +2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 +mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED +/Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.75 SLW 0.5 setgray /ArrowA { moveto } def +/ArrowB { } def /ArrowInside { } def [ 87.33308 71.13647 87.33308 +0.0 /Lineto /lineto load def 0 setlinejoin false NArray n 0 eq +not { n 1 eq { 0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add +dup 1.4 mul exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 +ED /x1 ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA +x1 Alpha cos arrowlength mul add y1 Alpha sin arrowlength mul add /n +n 1 sub def n { 4 copy /y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt +{ /Alpha y2 y1 sub x2 x1 sub Atan def /ArrowPos 0. def /dArrowPos +0.5 abs def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x1 Alpha +cos ArrowPos mul add y1 Alpha sin ArrowPos mul add ArrowInside pop +pop } repeat }{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add +div }{0.5 } ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def +x2 x1 sub ArrowPos mul x1 add y2 y1 sub ArrowPos mul y1 add ArrowInside +pop pop } repeat } ifelse pop pop Lineto } repeat }{ ArrowA /n n 2 +sub def n { Lineto } repeat } ifelse CP 4 2 roll ArrowB L pop pop } +if gsave 0.75 SLW 0.5 setgray 1. .setopacityalpha 3.0 0 0 add + DotLine grestore end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 476.32 0 -40.000000000000000000 sub +0.07114 mul exch 0.18335 mul exch 87.33308 0.0 /Lineto /lineto load +def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n 2 def +} if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 mul +neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED /Alpha +y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength mul add +y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy /y1 ED /x1 +ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 sub Atan +def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos ArrowPos +dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin ArrowPos +mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def /dArrowPos +1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add y2 y1 sub +ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse pop pop Lineto +} repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat } ifelse CP 4 +2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray 1. .setopacityalpha + 0 setlinejoin 0 setlinecap stroke grestore end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 476.32 1000 -40.000000000000000000 +add 0.07114 mul exch 0.18335 mul exch 87.33308 71.13647 /Lineto +/lineto load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { +0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul +exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 +ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.75 SLW 0.5 setgray /ArrowA { moveto } def +/ArrowB { } def /ArrowInside { } def [ 109.16635 71.13647 109.16635 +0.0 /Lineto /lineto load def 0 setlinejoin false NArray n 0 eq +not { n 1 eq { 0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add +dup 1.4 mul exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 +ED /x1 ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA +x1 Alpha cos arrowlength mul add y1 Alpha sin arrowlength mul add /n +n 1 sub def n { 4 copy /y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt +{ /Alpha y2 y1 sub x2 x1 sub Atan def /ArrowPos 0. def /dArrowPos +0.5 abs def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x1 Alpha +cos ArrowPos mul add y1 Alpha sin ArrowPos mul add ArrowInside pop +pop } repeat }{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add +div }{0.5 } ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def +x2 x1 sub ArrowPos mul x1 add y2 y1 sub ArrowPos mul y1 add ArrowInside +pop pop } repeat } ifelse pop pop Lineto } repeat }{ ArrowA /n n 2 +sub def n { Lineto } repeat } ifelse CP 4 2 roll ArrowB L pop pop } +if gsave 0.75 SLW 0.5 setgray 1. .setopacityalpha 3.0 0 0 add + DotLine grestore end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 595.40 0 -40.000000000000000000 sub +0.07114 mul exch 0.18335 mul exch 109.16635 0.0 /Lineto /lineto +load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n +2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 +mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED +/Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 595.40 1000 -40.000000000000000000 +add 0.07114 mul exch 0.18335 mul exch 109.16635 71.13647 /Lineto +/lineto load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { +0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul +exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 +ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.75 SLW 0.5 setgray /ArrowA { moveto } def +/ArrowB { } def /ArrowInside { } def [ 130.99962 71.13647 130.99962 +0.0 /Lineto /lineto load def 0 setlinejoin false NArray n 0 eq +not { n 1 eq { 0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add +dup 1.4 mul exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 +ED /x1 ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA +x1 Alpha cos arrowlength mul add y1 Alpha sin arrowlength mul add /n +n 1 sub def n { 4 copy /y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt +{ /Alpha y2 y1 sub x2 x1 sub Atan def /ArrowPos 0. def /dArrowPos +0.5 abs def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x1 Alpha +cos ArrowPos mul add y1 Alpha sin ArrowPos mul add ArrowInside pop +pop } repeat }{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add +div }{0.5 } ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def +x2 x1 sub ArrowPos mul x1 add y2 y1 sub ArrowPos mul y1 add ArrowInside +pop pop } repeat } ifelse pop pop Lineto } repeat }{ ArrowA /n n 2 +sub def n { Lineto } repeat } ifelse CP 4 2 roll ArrowB L pop pop } +if gsave 0.75 SLW 0.5 setgray 1. .setopacityalpha 3.0 0 0 add + DotLine grestore end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 714.48 0 -40.000000000000000000 sub +0.07114 mul exch 0.18335 mul exch 130.99962 0.0 /Lineto /lineto +load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n +2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 +mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED +/Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 714.48 1000 -40.000000000000000000 +add 0.07114 mul exch 0.18335 mul exch 130.99962 71.13647 /Lineto +/lineto load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { +0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul +exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 +ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.75 SLW 0.5 setgray /ArrowA { moveto } def +/ArrowB { } def /ArrowInside { } def [ 152.83289 71.13647 152.83289 +0.0 /Lineto /lineto load def 0 setlinejoin false NArray n 0 eq +not { n 1 eq { 0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add +dup 1.4 mul exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 +ED /x1 ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA +x1 Alpha cos arrowlength mul add y1 Alpha sin arrowlength mul add /n +n 1 sub def n { 4 copy /y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt +{ /Alpha y2 y1 sub x2 x1 sub Atan def /ArrowPos 0. def /dArrowPos +0.5 abs def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x1 Alpha +cos ArrowPos mul add y1 Alpha sin ArrowPos mul add ArrowInside pop +pop } repeat }{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add +div }{0.5 } ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def +x2 x1 sub ArrowPos mul x1 add y2 y1 sub ArrowPos mul y1 add ArrowInside +pop pop } repeat } ifelse pop pop Lineto } repeat }{ ArrowA /n n 2 +sub def n { Lineto } repeat } ifelse CP 4 2 roll ArrowB L pop pop } +if gsave 0.75 SLW 0.5 setgray 1. .setopacityalpha 3.0 0 0 add + DotLine grestore end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 833.56 0 -40.000000000000000000 sub +0.07114 mul exch 0.18335 mul exch 152.83289 0.0 /Lineto /lineto +load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n +2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 +mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED +/Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 833.56 1000 -40.000000000000000000 +add 0.07114 mul exch 0.18335 mul exch 152.83289 71.13647 /Lineto +/lineto load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { +0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul +exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 +ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.75 SLW 0.5 setgray /ArrowA { moveto } def +/ArrowB { } def /ArrowInside { } def [ 174.66617 71.13647 174.66617 +0.0 /Lineto /lineto load def 0 setlinejoin false NArray n 0 eq +not { n 1 eq { 0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add +dup 1.4 mul exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 +ED /x1 ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA +x1 Alpha cos arrowlength mul add y1 Alpha sin arrowlength mul add /n +n 1 sub def n { 4 copy /y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt +{ /Alpha y2 y1 sub x2 x1 sub Atan def /ArrowPos 0. def /dArrowPos +0.5 abs def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x1 Alpha +cos ArrowPos mul add y1 Alpha sin ArrowPos mul add ArrowInside pop +pop } repeat }{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add +div }{0.5 } ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def +x2 x1 sub ArrowPos mul x1 add y2 y1 sub ArrowPos mul y1 add ArrowInside +pop pop } repeat } ifelse pop pop Lineto } repeat }{ ArrowA /n n 2 +sub def n { Lineto } repeat } ifelse CP 4 2 roll ArrowB L pop pop } +if gsave 0.75 SLW 0.5 setgray 1. .setopacityalpha 3.0 0 0 add + DotLine grestore end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 952.64 0 -40.000000000000000000 sub +0.07114 mul exch 0.18335 mul exch 174.66617 0.0 /Lineto /lineto +load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n +2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 +mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED +/Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.5 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 952.64 1000 -40.000000000000000000 +add 0.07114 mul exch 0.18335 mul exch 174.66617 71.13647 /Lineto +/lineto load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { +0 0 /n 2 def } if () length 0 gt { 1.5 2. 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CLW mul add dup 1.4 mul exch 0.4 mul neg add /arrowlength +exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 +sub Atan def ArrowA x1 Alpha cos arrowlength mul add y1 Alpha sin arrowlength +mul add /n n 1 sub def n { 4 copy /y1 ED /x1 ED /y2 ED /x2 ED x1 y1 +0.5 1 gt { /Alpha y2 y1 sub x2 x1 sub Atan def /ArrowPos 0. def /dArrowPos +0.5 abs def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x1 Alpha +cos ArrowPos mul add y1 Alpha sin ArrowPos mul add ArrowInside pop +pop } repeat }{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add +div }{0.5 } ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def +x2 x1 sub ArrowPos mul x1 add y2 y1 sub ArrowPos mul y1 add ArrowInside +pop pop } repeat } ifelse pop pop Lineto } repeat }{ ArrowA /n n 2 +sub def n { Lineto } repeat } ifelse CP 4 2 roll ArrowB L pop pop } +if gsave 0.5 SLW 0 setgray 1. .setopacityalpha 0 setlinejoin +0 setlinecap stroke grestore end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.5 SLW 0 setgray /ArrowA { moveto } def /ArrowB +{ } def /ArrowInside { } def [ 0.00 1000 -40.000000000000000000 add +0.07114 mul exch 0.18335 mul exch 0.0 71.13647 /Lineto /lineto load +def 0 setlinejoin false NArray n 0 eq not { n 1 eq { 0 0 /n 2 def +} if () length 0 gt { 1.5 2. 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CLW mul add dup 1.4 mul exch 0.4 +mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED +/Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.8 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial 6710 6778 a +tx@Dict begin gsave STV CP T /ps@rot 0 0 add def grestore end + 6710 6778 a 6710 +6778 a +tx@Dict begin { 1000.000000000000000000 0.5 mul 0 add 0 0.07114 mul +exch 0.18335 mul exch } PutCoor PutBegin end + 6710 6778 a 6710 6778 a +tx@Dict begin ps@rot RotBegin end + 6710 6778 a 4420 10143 +a Fa(linejoin=2)6710 6778 y +tx@Dict begin RotEnd end + 6710 6778 a 6710 6778 a +tx@Dict begin PutEnd end + 6710 +6778 a @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { BeginArrow 1. 1. scale 2 setlinecap +0 0 moveto 0 0.1 L stroke 0 0 moveto EndArrow moveto } def /ArrowB +{ BeginArrow 1. 1. scale 2 setlinecap 0 0 moveto 0 0.1 L stroke 0 +0 moveto EndArrow } def /ArrowInside { } def 0.8 SLW 0 setgray + /ArrowA { BeginArrow 1. 1. scale 2 setlinecap 0 0 moveto 0 0.1 L +stroke 0 0 moveto EndArrow moveto } def /ArrowB { BeginArrow 1. +1. scale 2 setlinecap 0 0 moveto 0 0.1 L stroke 0 0 moveto EndArrow + } def /ArrowInside { } def [ 183.34961 71.13647 0.0 71.13647 /Lineto +/lineto load def 0 setlinejoin false NArray n 0 eq not { n 1 eq { +0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul +exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 +ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.8 SLW 0 setgray + 1. .setopacityalpha 0 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP 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0.00 4120.88 0.00 4120.88 0.00 4121.72 +0.00 4121.72 0.00 4122.56 0.00 4122.56 0.00 4123.40 0.00 4123.40 0.00 +4124.24 0.00 4124.24 0.00 4125.08 0.00 4125.08 0.00 4125.92 0.00 4125.92 +0.00 4126.76 0.00 4126.76 0.00 4127.60 0.00 4127.60 0.00 4128.44 0.00 +4128.44 0.00 4129.28 0.00 4129.28 0.00 4130.12 0.00 4130.12 0.00 4130.96 +0.00 4130.96 0.00 4131.80 0.00 4131.80 0.00 4132.64 0.00 4132.64 0.00 +4133.48 0.00 4133.48 0.00 4134.32 0.00 4134.32 0.00 4135.16 0.00 4135.16 +0.00 4136.00 0.00 4136.00 0.00 4136.84 0.00 4136.84 0.00 4137.68 0.00 +4137.68 0.00 4138.52 0.00 4138.52 0.00 4139.36 0.00 4139.36 0.00 4140.20 +0.00 4140.20 0.00 4141.04 0.00 4141.04 0.00 4141.88 0.00 4141.88 0.00 +4142.72 0.00 4142.72 0.00 4143.56 0.00 4143.56 0.00 4144.40 0.00 4144.40 +0.00 4145.24 0.00 4145.24 0.00 4146.08 0.00 4146.08 0.00 4146.92 0.00 +4146.92 0.00 4147.76 0.00 4147.76 0.00 4148.60 0.00 4148.60 0.00 4149.44 +0.00 4149.44 0.00 4150.28 0.00 4150.28 0.00 4151.12 0.00 4151.12 0.00 +4151.96 0.00 4151.96 0.00 4152.80 0.00 4152.80 0.00 4153.64 0.00 4153.64 +0.00 4154.48 0.00 4154.48 0.00 4155.32 0.00 4155.32 0.00 4156.16 0.00 +4156.16 0.00 4157.00 0.00 4157.00 0.00 4157.84 0.00 4157.84 0.00 4158.68 +0.00 4158.68 0.00 4159.52 0.00 4159.52 0.00 4160.36 0.00 4160.36 0.00 +4161.20 0.00 4161.20 0.00 4162.04 0.00 4162.04 0.00 4162.88 0.00 4162.88 +0.00 4163.72 0.00 4163.72 0.00 4164.56 0.00 4164.56 0.00 4165.40 0.00 +4165.40 0.00 4166.24 0.00 4166.24 0.00 4167.08 0.00 4167.08 0.00 4167.92 +0.00 4167.92 0.00 4168.76 0.00 4168.76 0.00 4169.60 0.00 4169.60 0.00 +4170.44 0.00 4170.44 0.00 4171.28 0.00 4171.28 0.00 4172.12 0.00 4172.12 +0.00 4172.96 0.00 4172.96 0.00 4173.80 0.00 4173.80 0.00 4174.64 0.00 +4174.64 0.00 4175.48 0.00 4175.48 0.00 4176.32 0.00 4176.32 0.00 4177.16 +0.00 4177.16 0.00 4178.00 0.00 4178.00 0.00 4178.84 0.00 4178.84 0.00 +4179.68 0.00 4179.68 0.00 4180.52 0.00 4180.52 0.00 4181.36 0.00 4181.36 +0.00 4182.20 0.00 4182.20 0.00 4183.04 0.00 4183.04 0.00 4183.88 0.00 +4183.88 0.00 4184.72 0.00 4184.72 0.00 4185.56 0.00 4185.56 0.00 4186.40 +0.00 4186.40 0.00 4187.24 0.00 4187.24 0.00 4188.08 0.00 4188.08 0.00 +4188.92 0.00 4188.92 0.00 4189.76 0.00 4189.76 0.00 4190.60 0.00 4190.60 +0.00 4191.44 0.00 4191.44 0.00 4192.28 0.00 4192.28 0.00 4193.12 0.00 +4193.12 0.00 4193.96 0.00 4193.96 0.00 4194.80 0.00 4194.80 0.00 4195.64 +0.00 4195.64 0.00 4196.48 0.00 4196.48 0.00 4197.32 0.00 4197.32 0.00 +4198.16 0.00 counttomark /m exch def /maxYValues 1 def /YValuePos +1 def /XValuePos 1 def /n m maxYValues 1 add div cvi def XValuePos +1 gt {n { maxYValues 1 add XValuePos neg roll dup /XValue ED maxYValues +1 add XValuePos 1 sub roll pop XValue maxYValues 1 add 1 roll m maxYValues +1 add roll } repeat } if maxYValues 1 gt {n { maxYValues YValuePos +1 sub neg roll maxYValues 1 sub { pop } repeat /m m maxYValues 1 sub +sub def m 2 roll } repeat } if /xMax -99999 def /yMax -99999 def /xP +0 def /yP 0 def m copy n { /y exch def /x exch def xMax x lt { /xMax +x def } if yMax y lt {/yMax y def } if xP x gt { /xP x def } if yP +y gt { /yP y def } if } repeat 0 0 gt 0 0 gt or () length 0 gt or () +length 0 gt or () length 0 gt or () length 0 gt or { () length 0 gt +{ }{ xP } ifelse /xStart exch def () length 0 gt { }{ yP } ifelse /yStart +exch def () length 0 gt { }{ xMax } ifelse /xEnd exch def () length +0 gt { }{ yMax } ifelse /yEnd exch def n { m -2 roll 2 copy /yVal +exch def /xVal exch def xVal xP ge yVal yP ge and xVal xEnd le and +yVal yEnd le and xVal xStart ge and yVal yStart ge and { /xP xP 0 add +def /yP yP 0 add def }{pop pop /m m 2 sub def } ifelse } repeat }{/ncount +1 def () length 0 gt { }{ m } ifelse /nEnd exch def n { m -2 roll +1 1 gt { ncount 0 sub 1 mod 0 eq }{ true } ifelse ncount nEnd le and +ncount 0 ge and not { pop pop /m m 2 sub def } if /ncount ncount 1 +add def } repeat } ifelse 0.18335 0.07114 /y ED /x ED /yPSOp { -100 +sub 5.000000000000000000 mul 0 add y mul 1.0 mul } def /xPSOp { 0 +sub 0.238151940938318647 mul 0 add x mul 1.0 mul } def counttomark +dup dup cvi eq not { exch pop } if /m exch def /n m 2 div cvi def n +{ yPSOp m 1 roll xPSOp m 1 roll /m m 2 sub def } repeat /Lineto +/lineto load def 2 setlinejoin false NArray n 0 eq not { n 1 eq { +0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul +exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 +ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength +mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy +/y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 +sub Atan def /ArrowPos 0. def /dArrowPos 0.5 abs def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x1 Alpha cos ArrowPos mul add y1 Alpha sin +ArrowPos mul add ArrowInside pop pop } repeat }{ /ArrowPos 0. def +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { +/ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add +y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse +pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat +} ifelse CP 4 2 roll ArrowB L pop pop } if gsave 0.8 SLW 0 setgray + 1. .setopacityalpha 2 setlinejoin 0 setlinecap stroke grestore +end + +@endspecial 0 TeXcolorgray 0 TeXcolorgray +eop end +%%Trailer + +userdict /end-hook known{end-hook}if +%%EOF +%%EndDocument +countdictstack InitDictCount sub { end } repeat +cleartomark restore grestore diff --git a/Master/texmf-dist/doc/latex/numericplots/history.tex b/Master/texmf-dist/doc/latex/numericplots/src/history.tex index de71d1919bf..c5edb788424 100644 --- a/Master/texmf-dist/doc/latex/numericplots/history.tex +++ b/Master/texmf-dist/doc/latex/numericplots/src/history.tex @@ -104,4 +104,54 @@ \item suppressing notification of the calculations made by the fp package during the compilation. \end{itemize} -\end{itemize}
\ No newline at end of file + \item 14.06.2012 + \begin{itemize} + \item added rotation option for \verb+\NDPput+ (Rot=45) + \end{itemize} + \item 03.08.2012 + \begin{itemize} + \item added documentation for plotting noisy data + \end{itemize} + \item 23.08.2012 + \begin{itemize} + \item added command \verb+\LegDot+ + \end{itemize} + \item 29.08.2012 + \begin{itemize} + \item added command \verb+\multilistplot+ + \item added \verb+options.NaNsplit+ to export2latex + \end{itemize} + \item 30.08.2012 + \begin{itemize} + \item added options DDx and DDy for minor grid + \item added option LabelBP + \end{itemize} + \item 19.03.2013 + \begin{itemize} + \item added Customized Tick Labels + \end{itemize} + \item 11.04.2013 + \begin{itemize} + \item Corrected calculation of bounding box + \begin{itemize} + \item removed additional horizontal phantom space + \item Previously, the padding values lly and ury where added to the given +height parameter to set the object height. Now, the given height parameter is correctly set as height of the bounding box. + \item new standard values for padding parameters lly, llx, ury, urx, which now take into account the current font size settings (unit \verb|em|, \verb|\baselineskip|) + \end{itemize} + \item added more detailed documentation of the bounding box and coordinate frame behavior + \end{itemize} + \item 16.04.2013 + \begin{itemize} + \item Changed positioning of axis labels and tick labels and added more + options for customization. + \item Changed option LabelBP to LabelRefPt. + \item Changed options xLabelSep and yLabelSep to LabelSep (with different + meaning). + \item Changed options xTickLabelSep and yTickLabelSep to TickLabelSep (with + different meaning). + \end{itemize} + \item 19.04.2013 + \begin{itemize} + \item added and improved documentation +\end{itemize} diff --git a/Master/texmf-dist/doc/latex/numericplots/keys_NumericDataPlot.tex b/Master/texmf-dist/doc/latex/numericplots/src/keys_NumericDataPlot.tex index 8a84b574a52..dd892585157 100644 --- a/Master/texmf-dist/doc/latex/numericplots/keys_NumericDataPlot.tex +++ b/Master/texmf-dist/doc/latex/numericplots/src/keys_NumericDataPlot.tex @@ -10,21 +10,13 @@ Dy&NumericDataPlot&Axis&command&[none]\\ dy&NumericDataPlot&Axis&command&[none]\\ yCoordMax&NumericDataPlot&Axis&command&[none]\\ yCoordMin&NumericDataPlot&Axis&command&[none]\\ -LabelRotation&NumericDataPlot&xAxis&command&[none]\\ -LabelPos&NumericDataPlot&xAxis&command&[none]\\ -TickSep&NumericDataPlot&xAxis&command&[none]\\ -LabelOption&NumericDataPlot&xAxis&command&[none]\\ -TickLabelOption&NumericDataPlot&xAxis&command&[none]\\ -LabelRotation&NumericDataPlot&yAxis&command&[none]\\ -LabelPos&NumericDataPlot&yAxis&command&[none]\\ -TickSep&NumericDataPlot&yAxis&command&[none]\\ -LabelOption&NumericDataPlot&yAxis&command&[none]\\ -TickLabelOption&NumericDataPlot&yAxis&command&[none]\\ xLog&NumericDataPlot&Axis&boolean&true\\ yLog&NumericDataPlot&Axis&boolean&true\\ yNearlyTight&NumericDataPlot&Axis&boolean&false\\ xO&NumericDataPlot&AxisWait&command&[none]\\ yO&NumericDataPlot&AxisWait&command&[none]\\ +DDy&NumericDataPlot&AxisWait&command&[none]\\ +DDx&NumericDataPlot&AxisWait&command&[none]\\ NoGrid&NumericDataPlot&xAxis&boolean&true\\ NoTicks&NumericDataPlot&xAxis&boolean&true\\ NoLabel&NumericDataPlot&xAxis&boolean&true\\ @@ -33,8 +25,6 @@ NoGrid&NumericDataPlot&yAxis&boolean&true\\ NoTicks&NumericDataPlot&yAxis&boolean&true\\ NoLabel&NumericDataPlot&yAxis&boolean&true\\ NoTickLabel&NumericDataPlot&yAxis&boolean&true\\ -yLabelSep&NumericDataPlot&yAxis&ordinary&\origXLabelSep \\ -xLabelSep&NumericDataPlot&xAxis&ordinary&\origYLabelSep \\ AxisStyle&NumericDataPlot&xAxis&choice&[none]\\ AxisStyle&NumericDataPlot&yAxis&choice&[none]\\ xPicMin&NumericDataPlot&General&command&[none]\\ @@ -46,9 +36,34 @@ llx&NumericDataPlot&General&ordinary&\StdLLX \\ urx&NumericDataPlot&General&ordinary&\StdURX \\ lly&NumericDataPlot&General&ordinary&\StdLLY \\ ury&NumericDataPlot&General&ordinary&\StdURY \\ -nrCols&NumericDataPlot&Legend&ordinary&1\\ -LegLineWidth&NumericDataPlot&Legend&ordinary&20pt\\ -LabelOrientation&NumericDataPlot&Legend&choice&[none]\\ x&NumericDataPlot&put&ordinary&[none]\\ y&NumericDataPlot&put&ordinary&[none]\\ RefPoint&NumericDataPlot&put&ordinary&c\\ +Rot&NumericDataPlot&put&ordinary&0\\ +LabelPos&NumericDataPlot&putxLabel&command&[none]\\ +LabelOption&NumericDataPlot&putxLabel&command&[none]\\ +LabelOrientation&NumericDataPlot&putxLabel&command&[none]\\ +LabelPos&NumericDataPlot&putyLabel&command&[none]\\ +LabelOption&NumericDataPlot&putyLabel&command&[none]\\ +LabelOrientation&NumericDataPlot&putyLabel&command&[none]\\ +LabelSep&NumericDataPlot&putxLabel&ordinary&\origXLabelSep \\ +LabelSep&NumericDataPlot&putyLabel&ordinary&\origYLabelSep \\ +ax&NumericDataPlot&putxLabel&choice&[none]\\ +ax&NumericDataPlot&putyLabel&choice&[none]\\ +LabelRefPt&NumericDataPlot&putxLabel&ordinary&[none]\\ +LabelRefPt&NumericDataPlot&putyLabel&ordinary&[none]\\ +x&NumericDataPlot&putxTickLabel&ordinary&[none]\\ +y&NumericDataPlot&putyTickLabel&ordinary&[none]\\ +TickLabelRefPt&NumericDataPlot&putxTickLabel&ordinary&[none]\\ +TickLabelRefPt&NumericDataPlot&putyTickLabel&ordinary&[none]\\ +TickLabelOption&NumericDataPlot&putxTickLabel&command&[none]\\ +TickLabelRot&NumericDataPlot&putxTickLabel&command&[none]\\ +TickLabelOption&NumericDataPlot&putyTickLabel&command&[none]\\ +TickLabelRot&NumericDataPlot&putyTickLabel&command&[none]\\ +TickLabelSep&NumericDataPlot&putxTickLabel&ordinary&\origXTickLabelSep \\ +TickLabelSep&NumericDataPlot&putyTickLabel&ordinary&\origYTickLabelSep \\ +ax&NumericDataPlot&putxTickLabel&choice&[none]\\ +ax&NumericDataPlot&putyTickLabel&choice&[none]\\ +nrCols&NumericDataPlot&Legend&ordinary&1\\ +LegLineWidth&NumericDataPlot&Legend&ordinary&20pt\\ +LabelOrientation&NumericDataPlot&Legend&choice&[none]\\ diff --git a/Master/texmf-dist/doc/latex/numericplots/options.tex b/Master/texmf-dist/doc/latex/numericplots/src/options.tex index cb7859ba69f..e4f6c416dbd 100644 --- a/Master/texmf-dist/doc/latex/numericplots/options.tex +++ b/Master/texmf-dist/doc/latex/numericplots/src/options.tex @@ -19,12 +19,17 @@ \subsection{General}\label{sec:OptionsGeneral} - These are the options for the environment \texttt{NumericDataPlot}. + These are the options for the environment \texttt{NumericDataPlot}. Note that the padding values llx, lly, urx, ury depend on the type settings. \begin{itemize} - \item xPicMin [0], yPicMin[0], xPicMax[1000], yPicMax[1000] + \item xPicMin [0], yPicMin [0], xPicMax [1000], yPicMax [1000] \item TickLength [2] defines the length of the ticks in mm - \item llx[-1.5cm], lly[-1.25cm], urx[2pt], ury[2pt] +\item \verb|\origXLabelSep| [\verb|\baselineskip|+1ex], \verb|\origYLabelSep| +[7ex] + \item \verb|\StdLLX| [7ex +\verb|\baselineskip|+2pt] + \verb|\StdLLY|[2\verb|\baselineskip|+1ex+2pt] + \verb|\StdURX|[2ex] + \verb|\StdURY|[0.5em] \end{itemize} diff --git a/Master/texmf-dist/tex/latex/numericplots/NumericPlots.sty b/Master/texmf-dist/tex/latex/numericplots/NumericPlots.sty index 8c50ac87cf9..c6bc42e9c4b 100644 --- a/Master/texmf-dist/tex/latex/numericplots/NumericPlots.sty +++ b/Master/texmf-dist/tex/latex/numericplots/NumericPlots.sty @@ -1,4 +1,4 @@ -% Copyright 2010 Thomas Koenig, Alexander Michel, Michael Baumgart +% Copyright 2013 Thomas Koenig, Alexander Michel, Michael Baumgart % % This file is part of NumericPlots. % @@ -17,16 +17,8 @@ \NeedsTeXFormat{LaTeX2e} -\ProvidesPackage{NumericPlots}[2011/01/07 LaTeX package to plot numeric data] - -% ========================================================== -% || TODO -% || -% || - implementation should be independant of psset -% || - factor for x and y axis? -% || - add option beamer (change default Sep/Sizes..) -% || - change calculation of lengths (LabelSep) -> see TickLength - +\ProvidesPackage{NumericPlots}% + [2013/04/19 v. 2.0 LaTeX package to plot numeric data] \RequirePackage{calc} @@ -41,6 +33,11 @@ \RequirePackage{xcolor} +% \makeatletter +% \newcommand*{\getlengthwounit}[1]{\strip@pt#1} +% \makeatother + + % ======================================= % === Definition of keys and commands === @@ -53,6 +50,9 @@ \RequirePackage{xkeyval} \RequirePackage{xkvview} % keep track of all keys that are defined +\newcommand{\testframe}[1]{#1} + + % globally needed values as newcommands \newcommand{\NumDataPlotxRange}{1} \newcommand{\NumDataPlotxCoordRange}{1} @@ -69,6 +69,7 @@ \newcommand{\NDPputXcoord}{0} \newcommand{\NDPputYcoord}{0} \newcommand{\NDPRefPoint}{c} +\newcommand{\NDPputRotation}{0} \newcommand{\NumDataPlotBuffer}{0} \newcommand{\NumDataPlotBufferI}{0} @@ -76,11 +77,17 @@ \newcommand{\TicksXLeft}{0} \newcommand{\TicksYRight}{0} \newcommand{\TicksYLeft}{0} +\newcommand{\TickLabelsXRight}{0} +\newcommand{\TickLabelsXLeft}{0} +\newcommand{\TickLabelsYRight}{0} +\newcommand{\TickLabelsYLeft}{0} \newcommand{\xTickLength}{-10} \newcommand{\yTickLength}{-10} \newcommand{\xNrTicks}{1} \newcommand{\yNrTicks}{1} +\newcommand{\xNrTickLabels}{1} +\newcommand{\yNrTickLabels}{1} \newboolean{PlotLeftAxis} \setboolean{PlotLeftAxis}{true} @@ -93,8 +100,6 @@ \setboolean{PlotUpperAxis}{true} \newcommand{\nrLegendCols}{1} -\newcommand{\StdLabelOption}{{}} -\newcommand{\StdTickLabelOption}{{}} \newlength{\LegLineWidth}\setlength{\LegLineWidth}{20pt} \newboolean{LegendOrientationLeft} @@ -106,9 +111,10 @@ \newcommand{\LogxAxis}{} -\newcommand{\LogxAxisLabel}[1]{#1} +\newcommand{\LogxAxisLabel}[1]{$#1$} \newcommand{\LogyAxis}{} -\newcommand{\LogyAxisLabel}[1]{#1} +\newcommand{\LogyAxisLabel}[1]{$#1$} + \newcounter{BufferCounter} % ---------------------------------------------------------------------------- @@ -130,31 +136,25 @@ dy, % so far, these are always calculated and cannot be set by user yCoordMax, yCoordMin } - -\define@cmdkeys[NumericDataPlot]{xAxis}[NumDataPlotx]{ - LabelRotation, LabelPos, TickSep, LabelOption, TickLabelOption - } -\define@cmdkeys[NumericDataPlot]{yAxis}[NumDataPloty]{ - LabelRotation, LabelPos, TickSep, LabelOption, TickLabelOption - } + \define@boolkey[NumericDataPlot]{Axis}{xLog}[true]{ \ifNumericDataPlot@Axis@xLog \renewcommand{\LogxAxis}{log} - \renewcommand{\LogxAxisLabel}[1]{10^{##1}} + \renewcommand{\LogxAxisLabel}[1]{$10^{##1}$} \else \renewcommand{\LogxAxis}{} - \renewcommand{\LogxAxisLabel}[1]{##1} + \renewcommand{\LogxAxisLabel}[1]{$##1$} \fi } \define@boolkey[NumericDataPlot]{Axis}{yLog}[true]{ \ifNumericDataPlot@Axis@yLog \renewcommand{\LogyAxis}{log} - \renewcommand{\LogyAxisLabel}[1]{10^{##1}} + \renewcommand{\LogyAxisLabel}[1]{$10^{##1}$} \else \renewcommand{\LogyAxis}{} - \renewcommand{\LogyAxisLabel}[1]{##1} + \renewcommand{\LogyAxisLabel}[1]{$##1$} \fi } @@ -166,7 +166,9 @@ % \setkeys[NumericDataPlot]{Axis}{<list of keys>} % \setrmkeys[NumericDataPlot]{AxisWait} % where <list of keys> can contain all the keys from Axis and from AxisWait) -\define@cmdkeys[NumericDataPlot]{AxisWait}[NumDataPlot]{xO, yO}{} +% same goes for DDy and DDx (Dy for labels): By default, the values of dy and dx +% will be used. +\define@cmdkeys[NumericDataPlot]{AxisWait}[NumDataPlot]{xO, yO, DDy, DDx}{} \define@boolkeys[NumericDataPlot]{xAxis} {NoGrid, NoTicks, NoLabel, NoTickLabel}[true] @@ -174,8 +176,7 @@ \define@boolkeys[NumericDataPlot]{yAxis} {NoGrid, NoTicks, NoLabel, NoTickLabel}[true] -\define@key[NumericDataPlot]{yAxis}{yLabelSep}[\origXLabelSep]{\setlength{\yLabelSep}{#1}} -\define@key[NumericDataPlot]{xAxis}{xLabelSep}[\origYLabelSep]{\setlength{\xLabelSep}{#1}} + \define@choicekey+[NumericDataPlot]{xAxis}{AxisStyle}[\val\nrAxisStyle] {Boxed,Lower,Upper,None}{ @@ -224,53 +225,34 @@ % | picture width etc. % ---------------------------------------------------------------------------- -\define@cmdkeys[NumericDataPlot]{General}[NumDataPlotG]{ - xPicMin, yPicMin, xPicMax, yPicMax, - TickLength +\define@cmdkeys[NumericDataPlot]{General}[NumDataPlotG]{% + xPicMin, yPicMin, xPicMax, yPicMax, TickLength% } -\define@key[NumericDataPlot]{General}{llx}[\StdLLX]{ - \psset{llx=-#1} - \addtolength{\OffsetWidth}{\StdLLX} - \addtolength{\OffsetWidth}{-#1} +\define@key[NumericDataPlot]{General}{llx}[\StdLLX]{% + \psset{llx=-#1}% + \addtolength{\OffsetWidth}{-\StdLLX}% + \addtolength{\OffsetWidth}{#1}% } -\define@key[NumericDataPlot]{General}{urx}[\StdURX]{ - \psset{urx=#1} - \addtolength{\OffsetWidth}{-\StdURX} - \addtolength{\OffsetWidth}{#1} +\define@key[NumericDataPlot]{General}{urx}[\StdURX]{% + \psset{urx=#1}% + \addtolength{\OffsetWidth}{-\StdURX}% + \addtolength{\OffsetWidth}{#1}% } -\define@key[NumericDataPlot]{General}{lly}[\StdLLY]{\psset{lly=#1}} -\define@key[NumericDataPlot]{General}{ury}[\StdURY]{\psset{ury=#1}} - - -% ---------------------------------------------------------------------------- -% | keys for the legend -% ---------------------------------------------------------------------------- - -\define@key[NumericDataPlot]{Legend}{nrCols}[1]{\renewcommand{\nrLegendCols}{#1}}% -\define@key[NumericDataPlot]{Legend}{LegLineWidth}[20pt]{\setlength{\LegLineWidth}{#1}}% - -\define@choicekey+[NumericDataPlot]{Legend}{LabelOrientation}[\val\nrLegOrient] -{r,l,c}{% - \ifcase\nrLegOrient\relax% - \setboolean{LegendOrientationLeft}{false}% - \setboolean{LegendOrientationRight}{true}% - \setboolean{LegendOrientationCenter}{false}% - \or% - \setboolean{LegendOrientationLeft}{true}% - \setboolean{LegendOrientationRight}{false}% - \setboolean{LegendOrientationCenter}{false}% - \or% - \setboolean{LegendOrientationLeft}{false}% - \setboolean{LegendOrientationRight}{false}% - \setboolean{LegendOrientationCenter}{true}% - \fi% -}{ - \PackageWarning{NumericPlots}{LabelOrientation #1 not defined. Use r, l or c}% +\define@key[NumericDataPlot]{General}{lly}[\StdLLY]{% + \psset{lly=-#1}% + \addtolength{\OffsetHeight}{-\StdLLY}% + \addtolength{\OffsetHeight}{#1}% +} +\define@key[NumericDataPlot]{General}{ury}[\StdURY]{% + \psset{ury=#1}% + \addtolength{\OffsetHeight}{-\StdURY}% + \addtolength{\OffsetHeight}{#1}% } + % ------------------------------------------------------------------------------ % | keys for the put commands % ------------------------------------------------------------------------------ @@ -288,158 +270,31 @@ \define@key[NumericDataPlot]{put}{RefPoint}[c]{ \renewcommand{\NDPRefPoint}{#1} } +\define@key[NumericDataPlot]{put}{Rot}[0]{ + \renewcommand{\NDPputRotation}{#1} +} %------------------------------------------------------------------------------- +\input{NumericPlots_labels} +\input{NumericPlots_TickLabels} - -\newlength{\picwidth} +% +%\newlength{\picwidth} \newlength{\CPicWidth} -\newlength{\StdLLX}\setlength{\StdLLX}{-1.5cm} -\newlength{\StdLLY}\setlength{\StdLLY}{-1.25cm} -\newlength{\StdURX}\setlength{\StdURX}{2pt} -\newlength{\StdURY}\setlength{\StdURY}{2pt} +\newlength{\CPicHeight} +\newlength{\StdLLX}\setlength{\StdLLX}{7ex +\baselineskip+2pt} +\newlength{\StdLLY}\setlength{\StdLLY}{2\baselineskip+1ex+2pt} +\newlength{\StdURX}\setlength{\StdURX}{2ex} +\newlength{\StdURY}\setlength{\StdURY}{0.5em} \newlength{\OffsetWidth} +\newlength{\OffsetHeight} -\newlength{\origXLabelSep}\setlength{\origXLabelSep}{10pt} -\newlength{\origYLabelSep}\setlength{\origYLabelSep}{20pt} -\newlength{\xLabelSep}\setlength{\xLabelSep}{\origXLabelSep} -\newlength{\yLabelSep}\setlength{\yLabelSep}{\origYLabelSep} - -% ============================================================================== -% || -% || legend -% || -% ============================================================================== -\newcommand{\LegLineOld}[2][]{% - \setkeys[NumericDataPlot]{Legend}{#1} - % - \centering\Rnode{lab#2}{}% - \psline[style=#2,showpoints=false]([nodesep=0.5\LegLineWidth]lab#2)([nodesep=-0.5\LegLineWidth]lab#2)% - \psline[style=#2](lab#2)(lab#2)% -} - -% \newcommand{\LegLine}[2][]{% -% \setkeys[NumericDataPlot]{Legend}{#1} -% % -% \centering\Rnode{LegLineNode}{}% -% \psline[#2,showpoints=false]([nodesep=0.5\LegLineWidth]LegLineNode)([nodesep=-0.5\LegLineWidth]LegLineNode)% -% \psline[#2, linestyle=none](LegLineNode)(LegLineNode) -% } -% -% -% \newcommand{\LegendDefinition}[2][nrCols]{% -% \setkeys[NumericDataPlot]{Legend}{#1}% -% % -% \psframebox[style=LegendBoxStyle]{% -% \ifLegendOrientationLeft -% \begin{tabular}{*{\nrLegendCols}{p{\LegLineWidth}l}}% -% #2% -% \end{tabular}% -% \fi -% \ifLegendOrientationCenter -% \begin{tabular}{*{\nrLegendCols}{p{\LegLineWidth}c}} -% #2 -% \end{tabular} -% \fi -% \ifLegendOrientationRight -% \begin{tabular}{*{\nrLegendCols}{p{\LegLineWidth}r}} -% #2 -% \end{tabular} -% \fi -% }%psframebox -% } - -\newcommand{\LegLine}[2][]{% - \setkeys[NumericDataPlot]{Legend}{#1}% - \parbox[t]{\LegLineWidth}{% - \centering\Rnode{LegLineNode}{}% - \psline[#2,showpoints=false]([nodesep=0.5\LegLineWidth]LegLineNode)([nodesep=-0.5\LegLineWidth]LegLineNode)% - \psline[#2, linestyle=none](LegLineNode)(LegLineNode)% - } -} - - -\newcommand{\LegendDefinition}[2][nrCols]{% - \setkeys[NumericDataPlot]{Legend}{#1}% - % - \psframebox[style=LegendBoxStyle]{% - \ifLegendOrientationLeft% - \begin{tabular}{*{\nrLegendCols}{ll}}% - #2% - \end{tabular}% - \fi - \ifLegendOrientationCenter - \begin{tabular}{*{\nrLegendCols}{cc}} - #2 - \end{tabular} - \fi - \ifLegendOrientationRight - \begin{tabular}{*{\nrLegendCols}{cr}} - #2 - \end{tabular} - \fi - }%psframebox -} % ============================================================================== % || -% || axis labels -% || -% ============================================================================== - - -\newcommand{\LeftyLabel}[1]{ - \rput[b] - {!90 \NumDataPlotyLabelRotation\space add} - (!\NumDataPlotxCoordMin\space - \NumDataPlotyCoordRange\space \NumDataPlotyLabelPos\space mul - \NumDataPlotyCoordMin\space add){ - \begin{tabular}{c} - \NumDataPlotyLabelOption{}#1\\ - \vspace{\yLabelSep} - \end{tabular}} - \setlength{\yLabelSep}{\origYLabelSep} -} - -\newcommand{\RightyLabel}[1]{ - \rput[b] - {!270 \NumDataPlotyLabelRotation\space add} - (!\NumDataPlotxCoordMax\space - \NumDataPlotyCoordRange\space \NumDataPlotyLabelPos\space mul - \NumDataPlotyCoordMin\space add){ - \begin{tabular}{c} - \NumDataPlotyLabelOption{}#1\\ - \vspace{\yLabelSep} - \end{tabular}} - \setlength{\yLabelSep}{\origYLabelSep} -} - -\newcommand{\UpperxLabel}[1]{ - \rput[b]{!0 \NumDataPlotxLabelRotation\space add} - (!\NumDataPlotxCoordRange\space \NumDataPlotxLabelPos\space mul - \NumDataPlotxCoordMin\space add \NumDataPlotyCoordMax){ - \begin{tabular}{c} - \NumDataPlotxLabelOption{}#1\\ - \vspace{\xLabelSep} - \end{tabular}} - \setlength{\xLabelSep}{\origXLabelSep} -} - -\newcommand{\LowerxLabel}[1]{ - \rput[t]{!0 \NumDataPlotxLabelRotation\space add} - (!\NumDataPlotxCoordRange\space \NumDataPlotxLabelPos\space mul - \NumDataPlotxCoordMin\space add \NumDataPlotyCoordMin){ - \begin{tabular}{c} - \vspace{\xLabelSep}\\ - \NumDataPlotxLabelOption{}#1 - \end{tabular}} - \setlength{\xLabelSep}{\origXLabelSep} -} -% ============================================================================== -% || % || Axis (Scaling) % || % ============================================================================== @@ -471,8 +326,8 @@ % (xMin and yMin also set xO and yO but when xO and yO are set by the user, % these values should be overwritten.) \setkeys*[NumericDataPlot]{Axis} - [yO, yMin, yMax, Dy, dy, yCoordMin, yCoordMax, yLog]{#1} - \setrmkeys[NumericDataPlot]{AxisWait}[yO] + [yMin, yMax, Dy, dy, yCoordMin, yCoordMax, yLog]{#1} + \setrmkeys[NumericDataPlot]{AxisWait}[yO, DDy] % for logarithmic axes: calculate log(xMax), log(xMin), Dx=1, xO=ceil(xMin) \ifNumericDataPlot@Axis@xLog @@ -494,10 +349,16 @@ % calculate number of ticks \FPdiv{\xNrTicks}{\NumDataPlotxRange}{\NumDataPlotDx} \FPtrunc{\xNrTicks}{\xNrTicks}{0} + % calculate number of tick labels + \FPdiv{\xNrTickLabels}{\NumDataPlotxRange}{\NumDataPlotDDx} + \FPtrunc{\xNrTickLabels}{\xNrTickLabels}{0} - % calculate dx + % calculate dx (distance (in coordinates) between two ticks) \FPmul{\NumDataPlotdx}{\NumDataPlotxDataCoordRatio}{\NumDataPlotDx} \FPround{\NumDataPlotdx}{\NumDataPlotdx}{2} + % calculate dx for labels + \FPmul{\NumDataPlotdxLabels}{\NumDataPlotxDataCoordRatio}{\NumDataPlotDDx} + \FPround{\NumDataPlotdxLabels}{\NumDataPlotdxLabels}{2} % calculate coordinates of x origin \FPsub{\NumDataPlotBuffer}{\NumDataPlotxO}{\NumDataPlotxMin} @@ -509,12 +370,22 @@ \FPsub{\TicksXRight}{\NumDataPlotxMax}{\NumDataPlotxO} \FPdiv{\TicksXRight}{\TicksXRight}{\NumDataPlotDx} \FPtrunc{\TicksXRight}{\TicksXRight}{0} + % calculate number of tick labels on right side of the origin + \FPsub{\TickLabelsXRight}{\NumDataPlotxMax}{\NumDataPlotxO} + \FPdiv{\TickLabelsXRight}{\TickLabelsXRight}{\NumDataPlotDDx} + \FPtrunc{\TickLabelsXRight}{\TickLabelsXRight}{0} % calculate number of ticks on left side of the origin (number is negative!) \FPsub{\TicksXLeft}{\NumDataPlotxMin}{\NumDataPlotxO} \FPdiv{\TicksXLeft}{\TicksXLeft}{\NumDataPlotDx} \FPsub{\TicksXLeft}{\TicksXLeft}{1} \FPtrunc{\TicksXLeft}{\TicksXLeft}{0} + % calculate number of tick labels on left side of the origin (number is + % negative!) + \FPsub{\TickLabelsXLeft}{\NumDataPlotxMin}{\NumDataPlotxO} + \FPdiv{\TickLabelsXLeft}{\TickLabelsXLeft}{\NumDataPlotDDx} + \FPsub{\TickLabelsXLeft}{\TickLabelsXLeft}{1} + \FPtrunc{\TickLabelsXLeft}{\TickLabelsXLeft}{0} \ScaleAxes{} } @@ -562,29 +433,25 @@ % for logarithmic axes, LogxAxisLabel returns 10^#1. Normally it just returns % #1. -\newcommand{\plotxTickLabels}[3]{ - \FPadd{\NumDataPlotBuffer}{\TicksXLeft}{1} + + + +\newcommand{\plotxTickLabels}[1]{ + \FPadd{\NumDataPlotBuffer}{\TickLabelsXLeft}{1} \FPround{\NumDataPlotBuffer}{\NumDataPlotBuffer}{0} % plot ticks on right side of the origin - \mmultido{\n=\NumDataPlotxO+\NumDataPlotDx}{\TicksXRight} + \mmultido{\n=\NumDataPlotxO+\NumDataPlotDDx}{\TickLabelsXRight} { - \rput[#3]{0}(!\NumDataPlotdx \space \NumDataPlotDx \space div \n - \space \NumDataPlotxO \space sub mul \xCoordOrig \space add \space #1 - \space \NumDataPlotxTickSep \space #2) - {\NumDataPlotxTickLabelOption{}$\LogxAxisLabel{\n}$} - } + \PutTickLabelXaxis[#1,x=\n]{\LogxAxisLabel{\n}} + } % plot ticks on left side of the origin - \mmultido{\n=\NumDataPlotxO+\NumDataPlotDx}{\NumDataPlotBuffer} + \mmultido{\n=\NumDataPlotxO+\NumDataPlotDDx}{\NumDataPlotBuffer} { - \rput[#3]{0}(!\xCoordOrig \space \NumDataPlotdx \space - \NumDataPlotDx \space div \n \space \NumDataPlotxO \space sub mul add \space #1 \space \NumDataPlotxTickSep \space #2) - {\NumDataPlotxTickLabelOption{}$\LogxAxisLabel{\n}$} + \PutTickLabelXaxis[#1,x=\n]{\LogxAxisLabel{\n}} } % plot tick at origin - \rput[#3]{0}(!\xCoordOrig\space #1 \space - \NumDataPlotxTickSep\space #2) - {\NumDataPlotxTickLabelOption{}$\LogxAxisLabel{\NumDataPlotxO}$} + \PutTickLabelXaxis[#1,x=\NumDataPlotxO]{\LogxAxisLabel{\NumDataPlotxO}} } \newcommand{\xLogSubGrid}[1]{ @@ -609,6 +476,7 @@ \multido{\n=\xCoordOrig+\NumDataPlotdx}{\TicksXLeft}{ \plotxGridLine{\n} } + \FPsub{\NumDataPlotBuffer}{\TicksXLeft}{1} \FPround{\NumDataPlotBuffer}{\NumDataPlotBuffer}{0} \multido{\n=\xCoordOrig+\NumDataPlotdx}{\NumDataPlotBuffer}{ @@ -617,7 +485,10 @@ } \newcommand{\plotxAxis}[2][]{ - \setkeys[NumericDataPlot]{xAxis}{#1} + \setkeys[NumericDataPlot]{putxLabel}{LabelSep} + \setkeys*[NumericDataPlot]{putxLabel}{#1} + \setrmkeys*[NumericDataPlot]{putxTickLabel} + \setrmkeys[NumericDataPlot]{xAxis} % plot grid, ticks and ticklabels \plotxGrid{} @@ -631,12 +502,12 @@ (\NumDataPlotxCoordMax, \NumDataPlotyCoordMin) \ifNumericDataPlot@xAxis@NoTickLabel \else - \plotxTickLabels{\NumDataPlotyCoordMin}{sub}{t} + \plotxTickLabels{ax=lower,#1} \fi % plot label \ifNumericDataPlot@xAxis@NoLabel \else - \LowerxLabel{#2} + \PutLabelXaxis[ax=lower,#1]{#2} \fi %plot upper axis (boxed) \ifthenelse{\boolean{PlotUpperAxis}}{ @@ -655,12 +526,12 @@ % plot ticklabels \ifNumericDataPlot@xAxis@NoTickLabel \else - \plotxTickLabels{\NumDataPlotyCoordMax}{add}{b} + \plotxTickLabels{ax=upper,#1} \fi % plot label \ifNumericDataPlot@xAxis@NoLabel \else - \UpperxLabel{#2} + \PutLabelXaxis[ax=upper,#1]{#2} \fi }{} } @@ -674,34 +545,30 @@ % || % ============================================================================== -\newcommand{\plotyTickLabels}[3]{ - \FPadd{\NumDataPlotBuffer}{\TicksYLeft}{1} + +\newcommand{\plotyTickLabels}[1]{ + \FPadd{\NumDataPlotBuffer}{\TickLabelsYLeft}{1} \FPround{\NumDataPlotBuffer}{\NumDataPlotBuffer}{0} % plot ticks on right side of the origin - \mmultido{\n=\NumDataPlotyO+\NumDataPlotDy}{\TicksYRight} + \mmultido{\n=\NumDataPlotyO+\NumDataPlotDDy}{\TickLabelsYRight} { - \rput[#3]{0}(!#1 \space \NumDataPlotyTickSep - \space #2 \space \NumDataPlotdy \space \NumDataPlotDy \space div \n \space \NumDataPlotyO \space sub mul \yCoordOrig \space add) - {\NumDataPlotyTickLabelOption{}$\LogyAxisLabel{\n}$} + \PutTickLabelYaxis[#1,y=\n]{\LogyAxisLabel{\n}} } % plot ticks on left side of the origin - \mmultido{\n=\NumDataPlotyO+\NumDataPlotDy}{\NumDataPlotBuffer} + \mmultido{\n=\NumDataPlotyO+\NumDataPlotDDy}{\NumDataPlotBuffer} { - \rput[#3]{0}(!#1 \space \NumDataPlotyTickSep - \space #2 \space \NumDataPlotdy \space \NumDataPlotDy \space div \n \space \NumDataPlotyO \space sub mul \yCoordOrig \space add) - {\NumDataPlotyTickLabelOption{}$\LogyAxisLabel{\n}$} + \PutTickLabelYaxis[#1,y=\n]{\LogyAxisLabel{\n}} } % plot tick at origin - \rput[#3]{0}(!#1 \space \NumDataPlotyTickSep\space #2 \space \yCoordOrig) - {\NumDataPlotyTickLabelOption{}$\LogyAxisLabel{\NumDataPlotyO}$} + \PutTickLabelYaxis[#1,y=\NumDataPlotyO]{\LogyAxisLabel{\NumDataPlotyO}} } \newcommand{\setyAxis}[1]{ -% values from the x-axis must be ignored! If they weren't, the default values + % values from the x-axis must be ignored! If they weren't, the default values % would be set! \setkeys*[NumericDataPlot]{Axis} [xO, xMin, xMax, xCoordMin, xCoordMax, Dx, dx, xLog]{#1} - \setrmkeys[NumericDataPlot]{AxisWait}[xO] + \setrmkeys[NumericDataPlot]{AxisWait}[xO, DDx] %\ifNumericDataPlot@Axis@yNearlyTight % \FPifpos{\NumDataPlotyMax} \FPmul{\NumDataPlotyMax}{\NumDataPlotyMax}{1.1} \else \FPmul{\NumDataPlotyMax}{\NumDataPlotyMax}{0.9}\fi @@ -728,10 +595,16 @@ % calculate number of ticks \FPdiv{\yNrTicks}{\NumDataPlotyRange}{\NumDataPlotDy} \FPtrunc{\yNrTicks}{\yNrTicks}{0} + % calculate number of tick labels + \FPdiv{\yNrTickLabels}{\NumDataPlotyRange}{\NumDataPlotDDy} + \FPtrunc{\yNrTickLabels}{\yNrTickLabels}{0} - % calculate dy + % calculate dy in coord -> distance between two ticks \FPmul{\NumDataPlotdy}{\NumDataPlotyDataCoordRatio}{\NumDataPlotDy} \FPround{\NumDataPlotdy}{\NumDataPlotdy}{2} + % calculate dyLabels in coord -> distance between two tick labels + \FPmul{\NumDataPlotdyLabels}{\NumDataPlotyDataCoordRatio}{\NumDataPlotDDy} + \FPround{\NumDataPlotdyLabels}{\NumDataPlotdyLabels}{2} % calculate coordinates of y origin \FPsub{\NumDataPlotBuffer}{\NumDataPlotyO}{\NumDataPlotyMin} @@ -743,19 +616,29 @@ \FPsub{\TicksYRight}{\NumDataPlotyMax}{\NumDataPlotyO} \FPdiv{\TicksYRight}{\TicksYRight}{\NumDataPlotDy} \FPtrunc{\TicksYRight}{\TicksYRight}{0} + % calculate number of tick labels on right side of the origin + \FPsub{\TickLabelsYRight}{\NumDataPlotyMax}{\NumDataPlotyO} + \FPdiv{\TickLabelsYRight}{\TickLabelsYRight}{\NumDataPlotDDy} + \FPtrunc{\TickLabelsYRight}{\TickLabelsYRight}{0} % calculate number of ticks on left side of the origin (number is negative!) \FPsub{\TicksYLeft}{\NumDataPlotyMin}{\NumDataPlotyO} \FPdiv{\TicksYLeft}{\TicksYLeft}{\NumDataPlotDy} \FPsub{\TicksYLeft}{\TicksYLeft}{1} \FPtrunc{\TicksYLeft}{\TicksYLeft}{0} + % calculate number of tick labels on left side of the origin (number is + % negative!) + \FPsub{\TickLabelsYLeft}{\NumDataPlotyMin}{\NumDataPlotyO} + \FPdiv{\TickLabelsYLeft}{\TickLabelsYLeft}{\NumDataPlotDDy} + \FPsub{\TickLabelsYLeft}{\TickLabelsYLeft}{1} + \FPtrunc{\TickLabelsYLeft}{\TickLabelsYLeft}{0} % --- scaling --- \ScaleAxes{} } -\newcommand{\plotyGridLine}[1]{ +\newcommand{\plotyGridLine}[1]{% \FPsub{\NumDataPlotBuffer}{\NumDataPlotyCoordMax}{#1} \FPsub{\NumDataPlotBufferI}{#1}{\NumDataPlotyCoordMin} \FPmin{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\NumDataPlotBufferI} @@ -780,7 +663,8 @@ \fi } -\newcommand{\plotySubGridLine}[1]{ +\newcommand{\plotySubGridLine}[1]{% + % only used by yLogSubGrid \FPsub{\NumDataPlotBuffer}{\NumDataPlotyCoordMax}{#1} \FPsub{\NumDataPlotBufferI}{#1}{\NumDataPlotyCoordMin} \FPmin{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\NumDataPlotBufferI} @@ -795,7 +679,9 @@ -\newcommand{\yLogSubGrid}[1]{ +\newcommand{\yLogSubGrid}[1]{% + % plots the subgrid for logarithmic axes, i.e. the grid between the two lines + % 10^x and 10^(x+1) \ifNumericDataPlot@Axis@yLog \multido{\iSubb=2+2}{4}{ \FPln{\NumDataPlotBuffer}{\iSubb} @@ -822,9 +708,6 @@ \multido{\n=\yCoordOrig+\NumDataPlotdy}{\NumDataPlotBuffer}{ \yLogSubGrid{\n} } -% \putS{ -% TicksYLeft: \TicksYLeft -% } } \newcommand{\plotyGridBoxed}{ @@ -842,19 +725,19 @@ \multido{\n=\yCoordOrig+\NumDataPlotdy}{\NumDataPlotBuffer}{ \yLogSubGrid{\n} } -% \putS{ -% TicksYLeft: \TicksYLeft -% } } \newcommand{\plotyAxis}[2][]{ - \setkeys[NumericDataPlot]{yAxis}{#1} + \setkeys[NumericDataPlot]{putyLabel}{LabelSep} + \setkeys*[NumericDataPlot]{putyLabel}{#1} + \setrmkeys*[NumericDataPlot]{putyTickLabel} + \setrmkeys[NumericDataPlot]{yAxis} % plot grid \plotyGrid - % plot lower axis + % plot left axis \ifthenelse{\boolean{PlotLeftAxis}} { \psline{C-C}% @@ -862,9 +745,9 @@ (\NumDataPlotxCoordMin, \NumDataPlotyCoordMax) \ifNumericDataPlot@yAxis@NoTickLabel \else - \plotyTickLabels{\NumDataPlotxCoordMin}{sub}{r} + \plotyTickLabels{ax=left,#1} \fi - % plot upper axis + % plot right axis \ifthenelse{\boolean{PlotRightAxis}} { \psline{C-C}% @@ -874,7 +757,7 @@ % --- label --- \ifNumericDataPlot@yAxis@NoLabel \else - \LeftyLabel{#2} + \PutLabelYaxis[ax=left,#1]{#2} \fi }{ \ifthenelse{\boolean{PlotRightAxis}} @@ -884,109 +767,18 @@ (\NumDataPlotxCoordMax, \NumDataPlotyCoordMax) \ifNumericDataPlot@yAxis@NoTickLabel \else - \plotyTickLabels{\NumDataPlotxCoordMax}{add}{l} + \plotyTickLabels{ax=right,#1} \fi % --- label --- \ifNumericDataPlot@yAxis@NoLabel \else - \RightyLabel{#2} + \PutLabelYaxis[ax=right,#1]{#2} \fi }{} } } -% ============================================================================== -% || -% || commands... -% || -% ============================================================================== - -\newcommand{\NDPput}[2][]{ - \setkeys[NumericDataPlot]{put}{RefPoint=c} - \setkeys[NumericDataPlot]{put}{#1} - \rput[\NDPRefPoint](\NDPputXcoord, \NDPputYcoord){#2} -} - -\newcommand{\NDPhline}[2][]{ -% - \FPsub{\NumDataPlotBuffer}{#2}{\NumDataPlotyMin} - \FPmul{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\NumDataPlotyDataCoordRatio} - \FPadd{\NDPputYcoord}{\NumDataPlotBuffer}{\NumDataPlotyCoordMin} - - \psline[#1](\NumDataPlotxCoordMin, \NDPputYcoord) - (\NumDataPlotxCoordMax, \NDPputYcoord) -} - -\newcommand{\NDPvline}[2][]{ -% - \FPsub{\NumDataPlotBuffer}{#2}{\NumDataPlotxMin} - \FPmul{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\NumDataPlotxDataCoordRatio} - \FPadd{\NDPputXcoord}{\NumDataPlotBuffer}{\NumDataPlotxCoordMin} -% - \psline[#1](\NDPputXcoord, \NumDataPlotyCoordMin) - (\NDPputXcoord, \NumDataPlotyCoordMax) -} - -\newcommand{\NDPline}[5][]{ -% - \FPsub{\NumDataPlotBuffer}{#2}{\NumDataPlotxMin} - \FPmul{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\NumDataPlotxDataCoordRatio} - \FPadd{\NDPputXcoordOne}{\NumDataPlotBuffer}{\NumDataPlotxCoordMin} - - \FPsub{\NumDataPlotBuffer}{#2}{\NumDataPlotxMin} - \FPmul{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\NumDataPlotxDataCoordRatio} - \FPadd{\NDPputXcoordOne}{\NumDataPlotBuffer}{\NumDataPlotxCoordMin} - - - \psline[#1] - (!#2 \NumDataPlotxMin\space sub \NumDataPlotxDataCoordRatio\space mul - \NumDataPlotxCoordMin\space add - #3 \NumDataPlotyMin\space sub \NumDataPlotyDataCoordRatio\space mul - \NumDataPlotyCoordMin\space add) - (!#4 \NumDataPlotxMin\space sub \NumDataPlotxDataCoordRatio\space mul - \NumDataPlotxCoordMin\space add - #5 \NumDataPlotyMin\space sub \NumDataPlotyDataCoordRatio\space mul - \NumDataPlotyCoordMin\space add) -} - -\newcommand{\NDPvbox}[3][]{ - - \psframe[#1] - (!#2 \NumDataPlotxMin\space sub \NumDataPlotxDataCoordRatio\space mul \NumDataPlotxCoordMin\space add - \NumDataPlotyCoordMin) - (!#3 \NumDataPlotxMin\space sub \NumDataPlotxDataCoordRatio\space mul \NumDataPlotxCoordMin\space add - \NumDataPlotyCoordMax) -} - -\newcommand{\NDPhbox}[3][]{ - - \psframe[#1] - (!\NumDataPlotxCoordMin \space - #2 \NumDataPlotyMin\space sub \NumDataPlotyDataCoordRatio\space mul \NumDataPlotyCoordMin\space add) - (!\NumDataPlotxCoordMax \space - #3 \NumDataPlotyMin\space sub \NumDataPlotyDataCoordRatio\space mul \NumDataPlotyCoordMin\space add) -} -\newcommand{\NDPbox}[5][]{ -% \FPsub{\NumDataPlotBuffer}{#2}{\NumDataPlotxMin} -% \FPmul{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\NumDataPlotxDataCoordRatio} -% \FPadd{\NDPputXcoordOne}{\NumDataPlotBuffer}{\NumDataPlotxCoordMin} -% -% \FPsub{\NumDataPlotBuffer}{#2}{\NumDataPlotxMin} -% \FPmul{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\NumDataPlotxDataCoordRatio} -% \FPadd{\NDPputXcoordOne}{\NumDataPlotBuffer}{\NumDataPlotxCoordMin} -% -% - \psframe[#1] - (!#2 \NumDataPlotxMin\space sub \NumDataPlotxDataCoordRatio\space mul - \NumDataPlotxCoordMin\space add - #3 \NumDataPlotyMin\space sub \NumDataPlotyDataCoordRatio\space mul - \NumDataPlotyCoordMin\space add) - (!#4 \NumDataPlotxMin\space sub \NumDataPlotxDataCoordRatio\space mul - \NumDataPlotxCoordMin\space add - #5 \NumDataPlotyMin\space sub \NumDataPlotyDataCoordRatio\space mul - \NumDataPlotyCoordMin\space add) -} % ============================================================================== % || @@ -995,49 +787,52 @@ % ============================================================================== -\newenvironment{NumericDataPlot}[3][]{ +\newenvironment{NumericDataPlot}[3][]{% % - \setlength{\OffsetWidth}{-\StdLLX +\StdURX} + \setlength{\OffsetWidth}{+\StdLLX +\StdURX}% + \setlength{\OffsetHeight}{+\StdLLY +\StdURY}% % set standard values (they will be reset by setkeys if defined) - \psset{llx=\StdLLX, lly=\StdLLY, ury=\StdURY, urx=\StdURX} + \psset{llx=-\StdLLX, lly=-\StdLLY, ury=\StdURY, urx=\StdURX}% % - \setkeys[NumericDataPlot]{General}{#1} + \setkeys[NumericDataPlot]{General}{#1}% % - \setlength{\CPicWidth}{#2 - \OffsetWidth} + \setlength{\CPicWidth}{#2 - \OffsetWidth}% + \setlength{\CPicHeight}{#3 - \OffsetHeight}% + %%\setlength{\CPicWidth}{#2} % calculate length of the yTicks: % PicCoordWidth (=GxPicMax-GxPicMin) -> PicWidth (=#2) % Length -> 1mm * yTickLength % yTickLength must be negative - \setcounter{BufferCounter}{1*\ratio{#2}{1mm}} - \FPsub{\NumDataPlotBuffer}{\NumDataPlotGxPicMax}{\NumDataPlotGxPicMin} - \FPdiv{\NumDataPlotBufferI}{\NumDataPlotBuffer}{\theBufferCounter} - \FPmul{\yTickLength}{\NumDataPlotBufferI}{\NumDataPlotGTickLength} - \FPmul{\yTickLength}{\NumDataPlotBufferI}{-1} + \setcounter{BufferCounter}{1*\ratio{#2}{1mm}}% + \FPsub{\NumDataPlotBuffer}{\NumDataPlotGxPicMax}{\NumDataPlotGxPicMin}% + \FPdiv{\NumDataPlotBufferI}{\NumDataPlotBuffer}{\theBufferCounter}% + \FPmul{\yTickLength}{\NumDataPlotBufferI}{\NumDataPlotGTickLength}% + \FPmul{\yTickLength}{\NumDataPlotBufferI}{-1}% % calculate length of the xTicks - \setcounter{BufferCounter}{1*\ratio{#3}{1mm}} - \FPsub{\NumDataPlotBuffer}{\NumDataPlotGyPicMax}{\NumDataPlotGyPicMin} - \FPdiv{\NumDataPlotBufferI}{\NumDataPlotBuffer}{\theBufferCounter} - \FPmul{\xTickLength}{\NumDataPlotBufferI}{\NumDataPlotGTickLength} - \FPmul{\xTickLength}{\NumDataPlotBufferI}{-1} - - \FPdiv{\NumDataPlotxTickSep}{\NumDataPlotGxPicMax}{20} - \FPround{\NumDataPlotxTickSep}{\NumDataPlotxTickSep}{0} - \FPdiv{\NumDataPlotyTickSep}{\NumDataPlotGyPicMax}{20} - \FPround{\NumDataPlotyTickSep}{\NumDataPlotyTickSep}{0} -% \FPdiv{\xTickLength}{\NumDataPlotGxPicMax}{-75} -% \FPround{\xTickLength}{\xTickLength}{0} -% \FPdiv{\yTickLength}{\NumDataPlotGyPicMax}{-75} -% \FPround{\yTickLength}{\yTickLength}{0} - \begin{psgraph}[fillstyle=solid, fillcolor=gray, - xAxis=false, yAxis=false] (\NumDataPlotGxPicMin, \NumDataPlotGyPicMin)(\NumDataPlotGxPicMin, \NumDataPlotGyPicMin)(\NumDataPlotGxPicMax, \NumDataPlotGyPicMax) - {\CPicWidth}{#3} -}{ - \pstScalePoints(1.0, 1.0){0 add}{0 add} - \end{psgraph} -} + \setcounter{BufferCounter}{1*\ratio{#3}{1mm}}% + \FPsub{\NumDataPlotBuffer}{\NumDataPlotGyPicMax}{\NumDataPlotGyPicMin}% + \FPdiv{\NumDataPlotBufferI}{\NumDataPlotBuffer}{\theBufferCounter}% + \FPmul{\xTickLength}{\NumDataPlotBufferI}{\NumDataPlotGTickLength}% + \FPmul{\xTickLength}{\NumDataPlotBufferI}{-1}% + % + \begin{psgraph}% + [fillstyle=solid, fillcolor=gray, xAxis=false, yAxis=false]% + (\NumDataPlotGxPicMin, \NumDataPlotGyPicMin)(\NumDataPlotGxPicMin, \NumDataPlotGyPicMin)(\NumDataPlotGxPicMax, \NumDataPlotGyPicMax)% + {\CPicWidth}{\CPicHeight}% +}{% + \pstScalePoints(1.0, 1.0){0 add}{0 add}% + \end{psgraph}% +} +\psset{xunit=1mm, yunit=1mm, xAxisLabel={}, yAxisLabel={}}% +% +% ============================================================================== +% || +% || legend +% || +% ============================================================================== -\psset{xunit=1mm, yunit=1mm, xAxisLabel={}, yAxisLabel={}} +\input{NumericPlots_legend} % ============================================================================ @@ -1046,124 +841,42 @@ % || % ============================================================================ -\newpsstyle{GridSt}{linecolor=gray, linestyle=dotted, linewidth=0.75pt} -\newpsstyle{TickSt}{linecolor=black, linestyle=solid, linewidth=0.5pt} - +\input{NumericPlots_styles} -\definecolor{LineColorA}{cmyk}{0.6 0.21 0.0 0.2} %blue -\definecolor{LineColorB}{cmyk}{0.7 0.1 1 0.2} %green -\definecolor{LineColorC}{cmyk}{0 1 1 0.2} %red -\definecolor{LineColorD}{cmyk}{0 0.7 1 0.1} % orange -\definecolor{LineColorE}{cmyk}{0.5 1 0 0.1} % purple -\definecolor{LineColorF}{cmyk}{0 1 0 0.2} % magenta -\definecolor{LineColorG}{cmyk}{0 0.25 1 0.1} % yellow -\definecolor{LineColorX}{cmyk}{0.3 0.2 0.0 0.1} %blue -\definecolor{LineColorY}{cmyk}{0 1 1 0.2} %red - -\newpsstyle{StdLineStyA}{linecolor=LineColorA} -\newpsstyle{StdLineStyB}{linecolor=LineColorB} -\newpsstyle{StdLineStyC}{linecolor=LineColorC} -\newpsstyle{StdLineStyD}{linecolor=LineColorD} -\newpsstyle{StdLineStyE}{linecolor=LineColorE} -\newpsstyle{StdLineStyF}{linecolor=LineColorF} -\newpsstyle{StdLineStyG}{linecolor=LineColorG} - -\newpsstyle{StdLineStyX}{linecolor=LineColorX,linestyle=solid,linewidth=2pt} -\newpsstyle{StdLineStyY}{linecolor=LineColorY,linestyle=dashed, dash=4pt 3pt 1pt -3pt} -\newpsstyle{BWStdLineStyX}{linecolor=lightgray,linestyle=solid,linewidth=2pt} -\newpsstyle{BWStdLineStyY}{linecolor=black,linestyle=dashed, dash=4pt 3pt 1pt -3pt} - -\newpsstyle{BWStdLineStyA} - {linecolor=lightgray,linestyle=solid,linewidth = 1.5pt} -\newpsstyle{BWStdLineStyB} - {linecolor=gray,linestyle=solid,linewidth = 1.0pt} -\newpsstyle{BWStdLineStyC} - {linecolor=black,linestyle=solid,linewidth = 0.75pt} -\newpsstyle{BWStdLineStyD} - {linecolor=black,linestyle=dashed, dash = 3pt 2pt,linewidth = 0.75pt} -\newpsstyle{BWStdLineStyE} - {linecolor=gray,linestyle=dashed,dash = 3pt 2pt,linewidth = 1.0pt} -\newpsstyle{BWStdLineStyF} - {linecolor=black,linestyle=dotted, dotsep =2pt,linewidth = 1.5pt} -\newpsstyle{BWStdLineStyG} - {linecolor=gray,linestyle=dotted, dotsep =2pt,linewidth = 1.5pt} - -\newpsstyle{LegendBoxStyle} - {fillcolor=white, fillstyle=solid} - -% =========================================================================== + + +% ============================================================================== % || -% || commands to put something at a location of the plot +% || commands... % || -% =========================================================================== +% ============================================================================== -% put in the NorthWest corner of the plot -\newcommand{\putNW}[1]{ -\rput[lt]{0}(\NumDataPlotxCoordMin, \NumDataPlotyCoordMax){#1}} -% put in the SouthWest corner of the plot -\newcommand{\putSW}[1]{ -\rput[lb]{0}(\NumDataPlotxCoordMin, \NumDataPlotyCoordMin){#1}} -% put in the NorthEast corner of the plot -\newcommand{\putNE}[1]{ -\rput[rt]{0}(\NumDataPlotxCoordMax, \NumDataPlotyCoordMax){#1}} -% put in the SouthEast corner of the plot -\newcommand{\putSE}[1]{ -\rput[rb]{0}(\NumDataPlotxCoordMax, \NumDataPlotyCoordMin){#1}} -% put in the South of the plot -\newcommand{\putS}[1]{ -\rput[b]{0}(!\NumDataPlotxCoordMax\space\NumDataPlotxMin\space sub 2 div -\NumDataPlotxCoordMin\space add \NumDataPlotyCoordMin){#1}} -% put in the North of the plot -\newcommand{\putN}[1]{ -\rput[t]{0}(!\NumDataPlotxCoordMax\space\NumDataPlotxCoordMin\space sub 2 div -\NumDataPlotxCoordMin\space add \NumDataPlotyCoordMax){#1}} -% put in the West of the plot -\newcommand{\putW}[1]{ -\rput[l]{0}(!\NumDataPlotxCoordMin\space -\NumDataPlotyCoordMax\space\NumDataPlotyCoordMin\space sub 2 div \NumDataPlotyCoordMin\space add){#1}} -% put in the East of the plot -\newcommand{\putE}[1]{ -\rput[r]{0}(!\NumDataPlotxCoordMax\space -\NumDataPlotyCoordMax\space\NumDataPlotyCoordMin\space sub 2 div \NumDataPlotyCoordMin\space add){#1}} -% put exponent at y-axis -\newcommand{\putExpY}[1]{ -\rput[lb]{0}(\NumDataPlotxCoordMin, \NumDataPlotyCoordMax){#1} -} -% put exponent at x-axis -\newcommand{\putExpX}[1]{ -\rput[lb]{0}(\NumDataPlotxCoordMax, \NumDataPlotyCoordMin){#1} -} +\input{NumericPlots_macros} -\DeclareOptionX{BW}{ - \addtopsstyle{StdLineStyA}{style=BWStdLineStyA} - \addtopsstyle{StdLineStyB}{style=BWStdLineStyB} - \addtopsstyle{StdLineStyC}{style=BWStdLineStyC} - \addtopsstyle{StdLineStyD}{style=BWStdLineStyD} - \addtopsstyle{StdLineStyE}{style=BWStdLineStyE} - \addtopsstyle{StdLineStyF}{style=BWStdLineStyF} - \addtopsstyle{StdLineStyG}{style=BWStdLineStyG} -} +% ============================================================================== +% || +% || package options ... +% || +% ============================================================================== \DeclareOptionX{beamer}{ - \renewcommand{\StdLLY}{-1.0cm} - \renewcommand{\StdTickLabelOption}{\footnotesize} - \setlength{\origXLabelSep}{1pt} + \renewcommand{\StdLLY}{1.0cm}% + \renewcommand{\StdTickLabelOption}{\footnotesize}% + \setlength{\origXLabelSep}{1pt}% } -\DeclareOptionX{xAxisStyle}[Boxed]{ - \presetkeys[NumericDataPlot]{xAxis}{AxisStyle=#1}{} +\DeclareOptionX{xAxisStyle}[Boxed]{% + \presetkeys[NumericDataPlot]{xAxis}{AxisStyle=#1}{}% } -\DeclareOptionX{yAxisStyle}[Boxed]{ - \presetkeys[NumericDataPlot]{yAxis}{AxisStyle=#1}{} +\DeclareOptionX{yAxisStyle}[Boxed]{% + \presetkeys[NumericDataPlot]{yAxis}{AxisStyle=#1}{}% } -\DeclareOptionX{LabelOption}[{}]{ - \renewcommand{\StdLabelOption}{#1} +\DeclareOptionX{LabelOption}[{}]{% + \renewcommand{\StdLabelOption}{#1}% } -\DeclareOptionX{TickLabelOption}[{}]{ - \renewcommand{\StdTickLabelOption}{#1} +\DeclareOptionX{TickLabelOption}[{}]{% + \renewcommand{\StdTickLabelOption}{#1}% } \ProcessOptionsX @@ -1184,23 +897,24 @@ yNearlyTight=false, }{} \presetkeys[NumericDataPlot]{xAxis}{ - NoGrid=false, NoTicks=false, NoLabel=false, NoTickLabel=false, - LabelRotation=0, LabelPos=0.5, TickSep=20, LabelOption=\StdLabelOption{}, - TickLabelOption=\StdTickLabelOption{} }{} + NoGrid=false, NoTicks=false, NoLabel=false, NoTickLabel=false +}{} \presetkeys[NumericDataPlot]{yAxis}{ - NoGrid=false, NoTicks=false, NoLabel=false, NoTickLabel=false, - LabelRotation=0, LabelPos=0.5, TickSep=20, LabelOption=\StdLabelOption{}, - TickLabelOption=\StdTickLabelOption{} }{} - + NoGrid=false, NoTicks=false, NoLabel=false, NoTickLabel=false +}{} % if xO/yO are not set they'll be set to xMin/yMin -\presetkeys[NumericDataPlot]{AxisWait}{ - xO=\NumDataPlotxMin, yO=\NumDataPlotyMin +\presetkeys[NumericDataPlot]{AxisWait}{% + xO=\NumDataPlotxMin, yO=\NumDataPlotyMin,% + DDx=\NumDataPlotDx, DDy=\NumDataPlotDy% }{} -\presetkeys[NumericDataPlot]{General}{ - xPicMin=0, yPicMin=0, xPicMax=1000, yPicMax=1000, TickLength=2}{} +\presetkeys[NumericDataPlot]{General}{% + xPicMin=0, yPicMin=0, xPicMax=1000, yPicMax=1000, TickLength=2}{}% \presetkeys[NumericDataPlot]{Legend}{% LabelOrientation=l% }{}% + + + diff --git a/Master/texmf-dist/tex/latex/numericplots/NumericPlots_TickLabels.tex b/Master/texmf-dist/tex/latex/numericplots/NumericPlots_TickLabels.tex new file mode 100644 index 00000000000..8a0d32ab0a8 --- /dev/null +++ b/Master/texmf-dist/tex/latex/numericplots/NumericPlots_TickLabels.tex @@ -0,0 +1,144 @@ + +\newlength{\origXTickLabelSep}\setlength{\origXTickLabelSep}{1ex} +\newlength{\origYTickLabelSep}\setlength{\origYTickLabelSep}{1ex} +\newlength{\xTickLabelSep}\setlength{\xTickLabelSep}{\origXTickLabelSep} +\newlength{\yTickLabelSep}\setlength{\yTickLabelSep}{\origYTickLabelSep} + +\newcommand{\xTickLabelRefPt}{t} +\newcommand{\yTickLabelRefPt}{r} + +\newcommand{\NumDataPlotxTickBaseline}{0} +\newcommand{\NumDataPlotxTickDistance}{0} +\newcommand{\NumDataPlotyTickBaseline}{0} +\newcommand{\NumDataPlotyTickDistance}{0} + +% ------------------------------------------------------------------------------ +% | keys for the put TickLabel commands +% ------------------------------------------------------------------------------ + +\define@key[NumericDataPlot]{putxTickLabel}{x}{ + \FPsub{\NumDataPlotBuffer}{#1}{\NumDataPlotxMin} + \FPmul{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\NumDataPlotxDataCoordRatio} + \FPadd{\NDPputXcoord}{\NumDataPlotBuffer}{\NumDataPlotxCoordMin} +} + + +\define@key[NumericDataPlot]{putyTickLabel}{y}{ + \FPsub{\NumDataPlotBuffer}{#1}{\NumDataPlotyMin} + \FPmul{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\NumDataPlotyDataCoordRatio} + \FPadd{\NDPputYcoord}{\NumDataPlotBuffer}{\NumDataPlotyCoordMin} +} + +\define@key[NumericDataPlot]{putxTickLabel}{TickLabelRefPt}{ + \renewcommand{\xTickLabelRefPt}{#1} +} + +\define@key[NumericDataPlot]{putyTickLabel}{TickLabelRefPt}{ + \renewcommand{\yTickLabelRefPt}{#1} +} + +\define@cmdkeys[NumericDataPlot]{putxTickLabel}[NumDataPlotx]{ + TickLabelOption, TickLabelRot +} +\define@cmdkeys[NumericDataPlot]{putyTickLabel}[NumDataPloty]{ + TickLabelOption, TickLabelRot +} +\define@key[NumericDataPlot]{putxTickLabel}{TickLabelSep}[\origXTickLabelSep]{\setlength{\xTickLabelSep}{#1}} +\define@key[NumericDataPlot]{putyTickLabel}{TickLabelSep}[\origYTickLabelSep]{\setlength{\yTickLabelSep}{#1}} + +\define@choicekey+[NumericDataPlot]{putxTickLabel}{ax}[\val\nrPutAxis] +{lower,upper}{ + \ifcase\nrPutAxis\relax + \renewcommand{\xTickLabelRefPt}{t} + \renewcommand{\NumDataPlotxTickBaseline}{\NumDataPlotyCoordMin} + \renewcommand{\NumDataPlotxTickDistance}{-1} + \or + \renewcommand{\xTickLabelRefPt}{b} + \renewcommand{\NumDataPlotxTickBaseline}{\NumDataPlotyCoordMax} + \renewcommand{\NumDataPlotxTickDistance}{1} + \fi +}{ + \PackageWarning{NumericPlots} + {Axis #1 not defined. Use lower or upper.} +} + +\define@choicekey+[NumericDataPlot]{putyTickLabel}{ax}[\val\nrPutAxis] +{left,right}{ + \ifcase\nrPutAxis\relax + \renewcommand{\yTickLabelRefPt}{r} + \renewcommand{\NumDataPlotyTickBaseline}{\NumDataPlotxCoordMin} + \renewcommand{\NumDataPlotyTickDistance}{-1} + \or + \renewcommand{\yTickLabelRefPt}{l} + \renewcommand{\NumDataPlotyTickBaseline}{\NumDataPlotxCoordMax} + \renewcommand{\NumDataPlotyTickDistance}{1} + \fi +}{ + \PackageWarning{NumericPlots} + {Axis #1 not defined. Use left or right.} +} + + +% ------------------------------------------------------------------------------ +% | standard values for the keys for the put TickLabel commands +% ------------------------------------------------------------------------------ + +\newcommand{\StdTickLabelOption}{{}} + +\presetkeys[NumericDataPlot]{putxTickLabel}{ + TickLabelOption=\StdTickLabelOption{}, TickLabelRot=0 +}{} +\presetkeys[NumericDataPlot]{putyTickLabel}{ + TickLabelOption=\StdTickLabelOption{}, TickLabelRot=0 +}{} + + + +% ============================================================================== +% || +% || tick labels +% || +% ============================================================================== + + +\newcommand{\PutTickLabelXaxis}[2][]{% + \setkeys*[NumericDataPlot]{putxTickLabel}{#1}% + % + \setcounter{BufferCounter}{10000*\ratio{\xTickLabelSep}{\CPicHeight}}% + \FPsub{\NumDataPlotBuffer}{\NumDataPlotGyPicMax}{\NumDataPlotGyPicMin}% + \FPmul{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\theBufferCounter}% + \FPdiv{\NumDataPlotBuffer}{\NumDataPlotBuffer}{10000}% + \FPmul{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\NumDataPlotxTickDistance}% + \FPadd{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\NumDataPlotxTickBaseline}% + % + \rput[\xTickLabelRefPt]{\NumDataPlotxTickLabelRot}% + (!\NDPputXcoord\space \NumDataPlotBuffer)% + {\makeXTickLabel{#2}}% +} + + +\newcommand{\makeXTickLabel}[1]{% + \testframe{\NumDataPlotxTickLabelOption{}#1}% +} + +\newcommand{\PutTickLabelYaxis}[2][]{% + \setkeys*[NumericDataPlot]{putyTickLabel}{#1}% + % +% \FPdiv{\NumDataPlotBufferI}{\getlengthwounit{\yTickLabelSep}}{\getlengthwounit{\CPicWidth}} + \setcounter{BufferCounter}{10000*\ratio{\yTickLabelSep}{\CPicWidth}}% + \FPsub{\NumDataPlotBuffer}{\NumDataPlotGxPicMax}{\NumDataPlotGxPicMin}% + \FPmul{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\theBufferCounter}% + \FPdiv{\NumDataPlotBuffer}{\NumDataPlotBuffer}{10000}% + \FPmul{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\NumDataPlotyTickDistance}% + \FPadd{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\NumDataPlotyTickBaseline}% + % + \rput[\yTickLabelRefPt]{\NumDataPlotyTickLabelRot}% + (!\NumDataPlotBuffer\space \NDPputYcoord)% + {\makeYTickLabel{#2}}% +} + +\newcommand{\makeYTickLabel}[1]{% + \testframe{\NumDataPlotyTickLabelOption{}#1}% +} + + diff --git a/Master/texmf-dist/tex/latex/numericplots/NumericPlots_labels.tex b/Master/texmf-dist/tex/latex/numericplots/NumericPlots_labels.tex new file mode 100644 index 00000000000..e0d6e518485 --- /dev/null +++ b/Master/texmf-dist/tex/latex/numericplots/NumericPlots_labels.tex @@ -0,0 +1,167 @@ + +\newlength{\origXLabelSep}\setlength{\origXLabelSep}{\baselineskip+1ex} +\newlength{\origYLabelSep}\setlength{\origYLabelSep}{7ex} +\newlength{\xLabelSep}\setlength{\xLabelSep}{\origXLabelSep} +\newlength{\yLabelSep}\setlength{\yLabelSep}{\origYLabelSep} + +\newlength{\TempLengthA} +\setlength{\TempLengthA}{0pt} +\newlength{\TempLengthB} +\setlength{\TempLengthB}{0pt} + +\newcommand{\NumDataPlotBaseline}{0} +\newcommand{\NumDataPlotDistance}{1} +\newcommand{\xLabelRefPt}{t} +\newcommand{\yLabelRefPt}{r} +\newcommand{\xLabelRot}{0} +\newcommand{\yLabelRot}{90} + + + +% ------------------------------------------------------------------------------ +% | keys for the put label commands +% ------------------------------------------------------------------------------ + +\define@cmdkeys[NumericDataPlot]{putxLabel}[NumDataPlotx]{ + LabelPos, LabelOption, LabelOrientation +} +\define@cmdkeys[NumericDataPlot]{putyLabel}[NumDataPloty]{ + LabelPos, LabelOption, LabelOrientation +} + +\define@key[NumericDataPlot]{putxLabel}{LabelSep}[\origXLabelSep]{\setlength{\xLabelSep}{#1}} +\define@key[NumericDataPlot]{putyLabel}{LabelSep}[\origYLabelSep]{\setlength{\yLabelSep}{#1}} + +\define@choicekey+[NumericDataPlot]{putxLabel}{ax}[\val\nrPutAxis] +{lower,upper}{ + \ifcase\nrPutAxis\relax + \renewcommand{\xLabelRot}{0} + \renewcommand{\xLabelRefPt}{t} + \renewcommand{\NumDataPlotBaseline}{\NumDataPlotyCoordMin} + \renewcommand{\NumDataPlotDistance}{-1} + \or + \renewcommand{\xLabelRot}{0} + \renewcommand{\xLabelRefPt}{b} + \renewcommand{\NumDataPlotBaseline}{\NumDataPlotyCoordMax} + \renewcommand{\NumDataPlotDistance}{1} + \fi +}{ + \PackageWarning{NumericPlots} + {Axis #1 not defined. Use left or right.} +} +\define@choicekey+[NumericDataPlot]{putyLabel}{ax}[\val\nrPutAxis] +{left,right}{ + \ifcase\nrPutAxis\relax + \renewcommand{\yLabelRot}{90} + \renewcommand{\yLabelRefPt}{b} + \renewcommand{\NumDataPlotBaseline}{\NumDataPlotxCoordMin} + \renewcommand{\NumDataPlotDistance}{-1} + \or + \renewcommand{\yLabelRot}{270} + \renewcommand{\yLabelRefPt}{b} + \renewcommand{\NumDataPlotBaseline}{\NumDataPlotxCoordMax} + \renewcommand{\NumDataPlotDistance}{1} + \fi +}{ + \PackageWarning{NumericPlots} + {Axis #1 not defined. Use left or right.} +} +% the LabelRefPt keys +\define@key[NumericDataPlot]{putxLabel}{LabelRefPt}{ + \renewcommand{\xLabelRefPt}{#1} +} +\define@key[NumericDataPlot]{putyLabel}{LabelRefPt}{ + \renewcommand{\yLabelRefPt}{#1} +} + +\newcommand\CheckIfColumntypeDefined[1]{% + \providebool{tpl@coltype@#1} + \ifcsdef{NC@find@\string#1}% + {\setbool{tpl@coltype@#1}{true}}% + {\ifcsdef{columntype@\string#1} + {\setbool{tpl@coltype@#1}{true}}% + {\setbool{tpl@coltype@#1}{false}}% + }% +} + +% ------------------------------------------------------------------------------ +% | standard values for the keys +% ------------------------------------------------------------------------------ + + +\newcommand{\StdLabelOption}{{}} + +\presetkeys[NumericDataPlot]{putxLabel}{ + LabelPos=0.5, LabelOption=\StdLabelOption{},LabelOrientation=c +}{} +\presetkeys[NumericDataPlot]{putyLabel}{ + LabelPos=0.5, LabelOption=\StdLabelOption{},LabelOrientation=c +}{} + + + + +% ============================================================================== +% || +% || axis labels +% || +% ============================================================================== +\newcommand{\PutLabelXaxis}[2][]{ + \setkeys*[NumericDataPlot]{putxLabel}{#1}% + % + \setcounter{BufferCounter}{10000*\ratio{\xLabelSep}{\CPicHeight}}% + \FPsub{\NumDataPlotBuffer}{\NumDataPlotGyPicMax}{\NumDataPlotGyPicMin}% + \FPmul{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\theBufferCounter}% + \FPdiv{\NumDataPlotBuffer}{\NumDataPlotBuffer}{10000}% + \FPmul{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\NumDataPlotDistance}% + \FPadd{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\NumDataPlotBaseline}% + % + \rput[\xLabelRefPt]% + {\xLabelRot}% + (!\NumDataPlotxCoordRange\space \NumDataPlotxLabelPos\space mul % + \NumDataPlotxCoordMin\space add \NumDataPlotBuffer\space){% + \makeXLabel{#2}% + }% +} + +\newcommand{\makeXLabel}[1]{% + \NumDataPlotxLabelOption{}% + \testframe{% + \setlength{\tabcolsep}{0pt}% + \expandafter\tabular\NumDataPlotxLabelOrientation{}% + #1% + \endtabular% + }% +} + + +\newcommand{\PutLabelYaxis}[2][]{% + \setkeys*[NumericDataPlot]{putyLabel}{#1}% + % + \setcounter{BufferCounter}{10000*\ratio{\yLabelSep}{\CPicWidth}}% + \FPsub{\NumDataPlotBuffer}{\NumDataPlotGxPicMax}{\NumDataPlotGxPicMin}% + \FPmul{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\theBufferCounter}% + \FPdiv{\NumDataPlotBuffer}{\NumDataPlotBuffer}{10000}% + \FPmul{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\NumDataPlotDistance}% + \FPadd{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\NumDataPlotBaseline}% + % + \rput[\yLabelRefPt]% + {\yLabelRot}% + (!\NumDataPlotBuffer\space % + \NumDataPlotyCoordRange\space \NumDataPlotyLabelPos\space mul % + \NumDataPlotyCoordMin\space add){% + \makeYLabel{#2}% + }% +} + +\newcommand{\makeYLabel}[1]{% + \NumDataPlotyLabelOption{}% + \testframe{% + \setlength{\tabcolsep}{0pt}% + \expandafter\tabular\NumDataPlotyLabelOrientation{}% + #1% + \endtabular% + }% +} + + diff --git a/Master/texmf-dist/tex/latex/numericplots/NumericPlots_legend.tex b/Master/texmf-dist/tex/latex/numericplots/NumericPlots_legend.tex new file mode 100644 index 00000000000..5e3aaeb393b --- /dev/null +++ b/Master/texmf-dist/tex/latex/numericplots/NumericPlots_legend.tex @@ -0,0 +1,112 @@ + +% ---------------------------------------------------------------------------- +% | keys for the legend +% ---------------------------------------------------------------------------- + +\define@key[NumericDataPlot]{Legend}{nrCols}[1]{\renewcommand{\nrLegendCols}{#1}}% +\define@key[NumericDataPlot]{Legend}{LegLineWidth}[20pt]{\setlength{\LegLineWidth}{#1}}% + +\define@choicekey+[NumericDataPlot]{Legend}{LabelOrientation}[\val\nrLegOrient] +{r,l,c}{% + \ifcase\nrLegOrient\relax% + \setboolean{LegendOrientationLeft}{false}% + \setboolean{LegendOrientationRight}{true}% + \setboolean{LegendOrientationCenter}{false}% + \or% + \setboolean{LegendOrientationLeft}{true}% + \setboolean{LegendOrientationRight}{false}% + \setboolean{LegendOrientationCenter}{false}% + \or% + \setboolean{LegendOrientationLeft}{false}% + \setboolean{LegendOrientationRight}{false}% + \setboolean{LegendOrientationCenter}{true}% + \fi% +}{ + \PackageWarning{NumericPlots}{LabelOrientation #1 not defined. Use r, l or c}% +} + + +% ============================================================================== +% || +% || legend +% || +% ============================================================================== + + +\newcommand{\LegLineOld}[2][]{% + \setkeys[NumericDataPlot]{Legend}{#1} + % + \centering\Rnode{lab#2}{}% + \psline[style=#2,showpoints=false]([nodesep=0.5\LegLineWidth]lab#2)([nodesep=-0.5\LegLineWidth]lab#2)% + \psline[style=#2](lab#2)(lab#2)% +} + +% \newcommand{\LegLine}[2][]{% +% \setkeys[NumericDataPlot]{Legend}{#1} +% % +% \centering\Rnode{LegLineNode}{}% +% \psline[#2,showpoints=false]([nodesep=0.5\LegLineWidth]LegLineNode)([nodesep=-0.5\LegLineWidth]LegLineNode)% +% \psline[#2, linestyle=none](LegLineNode)(LegLineNode) +% } +% +% +% \newcommand{\LegendDefinition}[2][nrCols]{% +% \setkeys[NumericDataPlot]{Legend}{#1}% +% % +% \psframebox[style=LegendBoxStyle]{% +% \ifLegendOrientationLeft +% \begin{tabular}{*{\nrLegendCols}{p{\LegLineWidth}l}}% +% #2% +% \end{tabular}% +% \fi +% \ifLegendOrientationCenter +% \begin{tabular}{*{\nrLegendCols}{p{\LegLineWidth}c}} +% #2 +% \end{tabular} +% \fi +% \ifLegendOrientationRight +% \begin{tabular}{*{\nrLegendCols}{p{\LegLineWidth}r}} +% #2 +% \end{tabular} +% \fi +% }%psframebox +% } + +\newcommand{\LegLine}[2][]{% + \setkeys[NumericDataPlot]{Legend}{#1}% + \parbox[t]{\LegLineWidth}{% + \centering\Rnode{LegLineNode}{}% + \psline[#2,showpoints=false]([nodesep=0.5\LegLineWidth]LegLineNode)([nodesep=-0.5\LegLineWidth]LegLineNode)% + \psline[#2,linestyle=none](LegLineNode)(LegLineNode)% + } +} + +\newcommand{\LegDot}[2][]{% + \setkeys[NumericDataPlot]{Legend}{#1}% + \parbox[t]{\LegLineWidth}{% + \centering\Rnode{LegLineNode}{}% + \psdots[#2](LegLineNode)% + } +} + +\newcommand{\LegendDefinition}[2][nrCols]{% + \setkeys[NumericDataPlot]{Legend}{#1}% + % + \psframebox[style=LegendBoxStyle]{% + \ifLegendOrientationLeft% + \begin{tabular}{*{\nrLegendCols}{ll}}% + #2% + \end{tabular}% + \fi + \ifLegendOrientationCenter + \begin{tabular}{*{\nrLegendCols}{cc}} + #2 + \end{tabular} + \fi + \ifLegendOrientationRight + \begin{tabular}{*{\nrLegendCols}{cr}} + #2 + \end{tabular} + \fi + }%psframebox +} diff --git a/Master/texmf-dist/tex/latex/numericplots/NumericPlots_macros.tex b/Master/texmf-dist/tex/latex/numericplots/NumericPlots_macros.tex new file mode 100644 index 00000000000..4bb33d1c93f --- /dev/null +++ b/Master/texmf-dist/tex/latex/numericplots/NumericPlots_macros.tex @@ -0,0 +1,155 @@ +% ============================================================================== +% || +% || commands... +% || +% ============================================================================== + +\newcommand{\NDPput}[2][]{ + \setkeys[NumericDataPlot]{put}{RefPoint=c} + \setkeys[NumericDataPlot]{put}{Rot=0} + \setkeys[NumericDataPlot]{put}{#1} + \rput[\NDPRefPoint]{\NDPputRotation}(\NDPputXcoord, \NDPputYcoord){#2} +} + + +\newcommand{\NDPhline}[2][]{ +% + \FPsub{\NumDataPlotBuffer}{#2}{\NumDataPlotyMin} + \FPmul{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\NumDataPlotyDataCoordRatio} + \FPadd{\NDPputYcoord}{\NumDataPlotBuffer}{\NumDataPlotyCoordMin} + + \psline[#1](\NumDataPlotxCoordMin, \NDPputYcoord) + (\NumDataPlotxCoordMax, \NDPputYcoord) +} + +\newcommand{\NDPvline}[2][]{ +% + \FPsub{\NumDataPlotBuffer}{#2}{\NumDataPlotxMin} + \FPmul{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\NumDataPlotxDataCoordRatio} + \FPadd{\NDPputXcoord}{\NumDataPlotBuffer}{\NumDataPlotxCoordMin} +% + \psline[#1](\NDPputXcoord, \NumDataPlotyCoordMin) + (\NDPputXcoord, \NumDataPlotyCoordMax) +} + +\newcommand{\NDPline}[5][]{ +% + \FPsub{\NumDataPlotBuffer}{#2}{\NumDataPlotxMin} + \FPmul{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\NumDataPlotxDataCoordRatio} + \FPadd{\NDPputXcoordOne}{\NumDataPlotBuffer}{\NumDataPlotxCoordMin} + + \FPsub{\NumDataPlotBuffer}{#2}{\NumDataPlotxMin} + \FPmul{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\NumDataPlotxDataCoordRatio} + \FPadd{\NDPputXcoordOne}{\NumDataPlotBuffer}{\NumDataPlotxCoordMin} + + + \psline[#1] + (!#2 \NumDataPlotxMin\space sub \NumDataPlotxDataCoordRatio\space mul + \NumDataPlotxCoordMin\space add + #3 \NumDataPlotyMin\space sub \NumDataPlotyDataCoordRatio\space mul + \NumDataPlotyCoordMin\space add) + (!#4 \NumDataPlotxMin\space sub \NumDataPlotxDataCoordRatio\space mul + \NumDataPlotxCoordMin\space add + #5 \NumDataPlotyMin\space sub \NumDataPlotyDataCoordRatio\space mul + \NumDataPlotyCoordMin\space add) +} + +\newcommand{\NDPvbox}[3][]{ + + \psframe[#1] + (!#2 \NumDataPlotxMin\space sub \NumDataPlotxDataCoordRatio\space mul \NumDataPlotxCoordMin\space add + \NumDataPlotyCoordMin) + (!#3 \NumDataPlotxMin\space sub \NumDataPlotxDataCoordRatio\space mul \NumDataPlotxCoordMin\space add + \NumDataPlotyCoordMax) +} + +\newcommand{\NDPhbox}[3][]{ + + \psframe[#1] + (!\NumDataPlotxCoordMin \space + #2 \NumDataPlotyMin\space sub \NumDataPlotyDataCoordRatio\space mul \NumDataPlotyCoordMin\space add) + (!\NumDataPlotxCoordMax \space + #3 \NumDataPlotyMin\space sub \NumDataPlotyDataCoordRatio\space mul \NumDataPlotyCoordMin\space add) +} + +\newcommand{\NDPbox}[5][]{ +% \FPsub{\NumDataPlotBuffer}{#2}{\NumDataPlotxMin} +% \FPmul{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\NumDataPlotxDataCoordRatio} +% \FPadd{\NDPputXcoordOne}{\NumDataPlotBuffer}{\NumDataPlotxCoordMin} +% +% \FPsub{\NumDataPlotBuffer}{#2}{\NumDataPlotxMin} +% \FPmul{\NumDataPlotBuffer}{\NumDataPlotBuffer}{\NumDataPlotxDataCoordRatio} +% \FPadd{\NDPputXcoordOne}{\NumDataPlotBuffer}{\NumDataPlotxCoordMin} +% +% + \psframe[#1] + (!#2 \NumDataPlotxMin\space sub \NumDataPlotxDataCoordRatio\space mul + \NumDataPlotxCoordMin\space add + #3 \NumDataPlotyMin\space sub \NumDataPlotyDataCoordRatio\space mul + \NumDataPlotyCoordMin\space add) + (!#4 \NumDataPlotxMin\space sub \NumDataPlotxDataCoordRatio\space mul + \NumDataPlotxCoordMin\space add + #5 \NumDataPlotyMin\space sub \NumDataPlotyDataCoordRatio\space mul + \NumDataPlotyCoordMin\space add) +} + +% ============================================================================ +% || +% || plotting commands +% || +% ============================================================================ + +% if data is exported with options.NaNsplit=true it may be plotted with +% \multilistplot{style=xx}{DataIDENT} +% First argument of the function is passed to listplot. +% Second argument must be the Identifier of the Data that should be plotted. +\newcommand{\multilistplot}[2]{ + \multido{\iA=1+1}{\csname #2NrRanges\endcsname}{ + \listplot[#1]{\csname #2\iA\endcsname}% + } +} + + +% =========================================================================== +% || +% || commands to put something at a location of the plot +% || +% =========================================================================== + +% put in the NorthWest corner of the plot +\newcommand{\putNW}[1]{ +\rput[lt]{0}(\NumDataPlotxCoordMin, \NumDataPlotyCoordMax){#1}} +% put in the SouthWest corner of the plot +\newcommand{\putSW}[1]{ +\rput[lb]{0}(\NumDataPlotxCoordMin, \NumDataPlotyCoordMin){#1}} +% put in the NorthEast corner of the plot +\newcommand{\putNE}[1]{ +\rput[rt]{0}(\NumDataPlotxCoordMax, \NumDataPlotyCoordMax){#1}} +% put in the SouthEast corner of the plot +\newcommand{\putSE}[1]{ +\rput[rb]{0}(\NumDataPlotxCoordMax, \NumDataPlotyCoordMin){#1}} +% put in the South of the plot +\newcommand{\putS}[1]{ +\rput[b]{0}(!\NumDataPlotxCoordMax\space\NumDataPlotxCoordMin\space sub 2 div +\NumDataPlotxCoordMin\space add \NumDataPlotyCoordMin){#1}} +% put in the North of the plot +\newcommand{\putN}[1]{ +\rput[t]{0}(!\NumDataPlotxCoordMax\space\NumDataPlotxCoordMin\space sub 2 div +\NumDataPlotxCoordMin\space add \NumDataPlotyCoordMax){#1}} +% put in the West of the plot +\newcommand{\putW}[1]{ +\rput[l]{0}(!\NumDataPlotxCoordMin\space +\NumDataPlotyCoordMax\space\NumDataPlotyCoordMin\space sub 2 div \NumDataPlotyCoordMin\space add){#1}} +% put in the East of the plot +\newcommand{\putE}[1]{ +\rput[r]{0}(!\NumDataPlotxCoordMax\space +\NumDataPlotyCoordMax\space\NumDataPlotyCoordMin\space sub 2 div \NumDataPlotyCoordMin\space add){#1}} +% put exponent at y-axis +\newcommand{\putExpY}[1]{ +\rput[lb]{0}(\NumDataPlotxCoordMin, \NumDataPlotyCoordMax){#1} +} +% put exponent at x-axis +\newcommand{\putExpX}[1]{ +\rput[lb]{0}(\NumDataPlotxCoordMax, \NumDataPlotyCoordMin){#1} +} + diff --git a/Master/texmf-dist/tex/latex/numericplots/NumericPlots_styles.tex b/Master/texmf-dist/tex/latex/numericplots/NumericPlots_styles.tex new file mode 100644 index 00000000000..79b322cde43 --- /dev/null +++ b/Master/texmf-dist/tex/latex/numericplots/NumericPlots_styles.tex @@ -0,0 +1,70 @@ + +% ============================================================================ +% || +% || Definition of styles +% || +% ============================================================================ + +\newpsstyle{GridSt}{linecolor=gray, linestyle=dotted, linewidth=0.75pt} +\newpsstyle{TickSt}{linecolor=black, linestyle=solid, linewidth=0.5pt} + + +\definecolor{LineColorA}{cmyk}{0.6 0.21 0.0 0.2} %blue +\definecolor{LineColorB}{cmyk}{0.7 0.1 1 0.2} %green +\definecolor{LineColorC}{cmyk}{0 1 1 0.2} %red +\definecolor{LineColorD}{cmyk}{0 0.7 1 0.1} % orange +\definecolor{LineColorE}{cmyk}{0.5 1 0 0.1} % purple +\definecolor{LineColorF}{cmyk}{0 1 0 0.2} % magenta +\definecolor{LineColorG}{cmyk}{0 0.25 1 0.1} % yellow +\definecolor{LineColorH}{cmyk}{0.81 0.1 1 0.7} % grass green + +\definecolor{LineColorX}{cmyk}{0.3 0.2 0.0 0.1} %blue +\definecolor{LineColorY}{cmyk}{0 1 1 0.2} %red + +\newpsstyle{StdLineStyA}{linecolor=LineColorA, fillcolor=LineColorA, linejoin=1} +\newpsstyle{StdLineStyB}{linecolor=LineColorB, fillcolor=LineColorB, linejoin=1} +\newpsstyle{StdLineStyC}{linecolor=LineColorC, fillcolor=LineColorC, linejoin=1} +\newpsstyle{StdLineStyD}{linecolor=LineColorD, fillcolor=LineColorD, linejoin=1} +\newpsstyle{StdLineStyE}{linecolor=LineColorE, fillcolor=LineColorE, linejoin=1} +\newpsstyle{StdLineStyF}{linecolor=LineColorF, fillcolor=LineColorF, linejoin=1} +\newpsstyle{StdLineStyG}{linecolor=LineColorG, fillcolor=LineColorG, linejoin=1} +\newpsstyle{StdLineStyH}{linecolor=LineColorH, fillcolor=LineColorH, linejoin=1} + +\newpsstyle{StdLineStyX}{linecolor=LineColorX, linestyle=solid, + linewidth=2pt, linejoin=1} +\newpsstyle{StdLineStyY}{linecolor=LineColorY, linestyle=dashed, + dash=4pt 3pt 1pt 3pt, linejoin=1} +\newpsstyle{BWStdLineStyX}{linecolor=lightgray, linestyle=solid, + linewidth=2pt, linejoin=1} +\newpsstyle{BWStdLineStyY}{linecolor=black, linestyle=dashed, + dash=4pt 3pt 1pt 3pt, linejoin=1} + +\newpsstyle{BWStdLineStyA} + {linecolor=lightgray,linestyle=solid,linewidth = 1.5pt, linejoin=1} +\newpsstyle{BWStdLineStyB} + {linecolor=gray,linestyle=solid,linewidth = 1.0pt, linejoin=1} +\newpsstyle{BWStdLineStyC} + {linecolor=black,linestyle=solid,linewidth = 0.75pt, linejoin=1} +\newpsstyle{BWStdLineStyD} + {linecolor=black,linestyle=dashed, dash = 3pt 2pt,linewidth = 0.75pt, + linejoin=1} +\newpsstyle{BWStdLineStyE} + {linecolor=gray,linestyle=dashed,dash = 3pt 2pt,linewidth = 1.0pt, linejoin=1} +\newpsstyle{BWStdLineStyF} + {linecolor=black,linestyle=dotted, dotsep =2pt,linewidth = 1.5pt, linejoin=1} +\newpsstyle{BWStdLineStyG} + {linecolor=gray,linestyle=dotted, dotsep =2pt,linewidth = 1.5pt, linejoin=1} + +\newpsstyle{LegendBoxStyle} + {fillcolor=white, fillstyle=solid} + +\DeclareOptionX{BW}{ + \addtopsstyle{StdLineStyA}{style=BWStdLineStyA} + \addtopsstyle{StdLineStyB}{style=BWStdLineStyB} + \addtopsstyle{StdLineStyC}{style=BWStdLineStyC} + \addtopsstyle{StdLineStyD}{style=BWStdLineStyD} + \addtopsstyle{StdLineStyE}{style=BWStdLineStyE} + \addtopsstyle{StdLineStyF}{style=BWStdLineStyF} + \addtopsstyle{StdLineStyG}{style=BWStdLineStyG} +} + diff --git a/Master/tlpkg/libexec/ctan2tds b/Master/tlpkg/libexec/ctan2tds index 2a0d868dd29..9358be9ea54 100755 --- a/Master/tlpkg/libexec/ctan2tds +++ b/Master/tlpkg/libexec/ctan2tds @@ -687,7 +687,6 @@ chomp ($Build = `cd $Master/../Build/source && pwd`); 'notes', "&MAKEnotes", 'ntabbing', "die 'skipping, noinfo license, author email bad'", 'ntg', "die 'skipping, ntg is stale user group information'", - 'numericplots',"&MAKEflatten", 'numline', "die 'skipping, obsolete'", 'numparse', "die 'skipping, experimental, not recommended by author'", 'oca', "die 'skipping, nosell license'", @@ -1083,6 +1082,7 @@ chomp ($Build = `cd $Master/../Build/source && pwd`); 'movie15' => '&PREHOOK_flatten1', 'musixtex-fonts' => '&PREHOOK_unzip', 'mp3d' => '&PREHOOK_mp3d', + 'numericplots', => '&PREHOOK_flatten1', 'pgf-blur' => '&PREHOOK_pgfblur', 'pictex' => '&PREHOOK_pictex', 'skb' => '&PREHOOK_flatten1', @@ -1137,6 +1137,7 @@ chomp ($Build = `cd $Master/../Build/source && pwd`); 'mptopdf' => '&POSTmptopdf', 'musixtex' => '&POSTmusixtex', 'niceframe' => '&POST_rmsymlink', + 'numericplots' => '&POSTnumericplots', 'pedigree-perl' => '&POSTpedigreeperl', 'pgf' => '&POSTpgf', 'pgfplots' => '&POSTpgfplots', @@ -5354,6 +5355,11 @@ sub POSTmontex { &SYSTEM ("$MV 00readme 00readme.mfinput.km"); } +sub POSTnumericplots { + print "\t POST$package - mv latex subdir\n"; + &SYSTEM ("$MV latex $DEST/tex/latex/$package"); +} + sub POSTpedigreeperl { print "POST$package - mv *.pm Pedigree/*.pm\n"; my $scriptdir = "$DEST/scripts/$package"; |