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diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/src/text/par-surfaces-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/text/par-surfaces-en.tex deleted file mode 100644 index bf4e4923f00..00000000000 --- a/Master/texmf-dist/doc/generic/pst-solides3d/src/text/par-surfaces-en.tex +++ /dev/null @@ -1,248 +0,0 @@ -\section{Presentation} - -The command has the following form: -\begin{verbatim} -\psSurface[options](xmin,ymin)(xmax,ymax){equation of the surface z=f(x,y)} -\end{verbatim} - with the same options which apply to solids, and these additional -ones: -\begin{itemize} - \item The surface grid is defined by the parameter - \texttt{\Lkeyword{ngrid}=n1 n2}, which has these specifics: - -\begin{minipage}{1\linewidth} - \begin{itemize} - \item If \texttt{n1} and/or \texttt{n2} are integers, the - number(s) represent(s) the number of grids following $Ox$ and/or - $Oy$. - \item If \texttt{n1} and/or \texttt{n2 } are decimals, the - number(s) represent(s) the incrementing steps following $Ox$ - and/or $Oy$. - \item If \texttt{\Lkeyword{ngrid}=n}, with only one parameter value, - the number of grids, or the incrementing steps, - are identical on both axes. - \end{itemize} -\end{minipage} - - \item \Lkeyword{algebraic}: this option allows you to write the function in -algebraic notation; \texttt{pstricks.pro} meanwhile contains -the code \texttt{AlgToPs} - from Dominique \textsc{Rodriguez}, which allows this notation and which is -included in the \texttt{pstricks-add.pro} file. This version -of \texttt{pstricks} %%%% should this be pstricks-add(.pro) ?? - is provided with \texttt{pst-solides3d}. If necessary, you must load the -\texttt{pstricks-add} package in the document preamble. - \item \Lkeyword{grid}: by default the grid is activated. If the - option \Lkeyword{grid} is used, the grid will be deactivated! %%%% this seems perverse; would [nogrid] be better? - \item \Lkeyword{axesboxed}: this option allows you to draw the 3D - coordinate axes -in a semi-automatic way, but because of the need to specify -the limits of $z$ by hand this option is deactivated by -default: - \begin{itemize} - \item \Lkeyword{Zmin}: minimum value; - \item \Lkeyword{Zmax}: maximum value; - \item \Lkeyword{QZ}: allows a vertical shift of the coordinate axes -with the value \texttt{\Lkeyword{QZ}=value}; - \item \Lkeyword{spotX}: alters the placing of the $x$-axis tick values - at the end of ticks, if the default behaviour is unsatisfactory. - The positioning can be altered with the command -\verb+\uput[angle](x,y){ticklabel}+; - \item \Lkeyword{spotY}: is similar; - \item \Lkeyword{spotZ}: likewise. - \end{itemize} -\end{itemize} -If the option \Lkeyword{axesboxed} doesn't meet your needs, it is -possible to adapt the following command, which is appropriate for -the first example: - - - -\small -\begin{verbatim} -\psSolid[object=parallelepiped,a=8,b=8,c=8,action=draw](0,0,0) -\multido{\ix=-4+1}{9}{% - \psPoint(\ix\space,4,-4){X1} - \psPoint(\ix\space,4.2,-4){X2} - \psline(X1)(X2)\uput[dr](X1){\ix}} -\multido{\iy=-4+1}{9}{% - \psPoint(4,\iy\space,-4){Y1} - \psPoint(4.2,\iy\space,-4){Y2} - \psline(Y1)(Y2)\uput[dl](Y1){\iy}} -\multido{\iz=-4+1}{9}{% - \psPoint(4,-4,\iz\space){Z1} - \psPoint(4,-4.2,\iz\space){Z2} - \psline(Z1)(Z2)\uput[l](Z1){\iz}} -\end{verbatim} - -%L'option \Cadre{[hue=0 1]} permet de remplir les facettes avec des d\'{e}grad\'{e}s -%de couleur. -\section{Example 1: a \Index{saddle}} -\begin{LTXexample}[width=7.5cm] -\psset{unit=0.45} -\psset{viewpoint=50 40 30 rtp2xyz,Decran=50} -\psset{lightsrc=viewpoint} -\begin{pspicture}(-7,-8)(7,8) -\psSurface[ngrid=.25 .25,incolor=yellow, - linewidth=0.5\pslinewidth,axesboxed, - algebraic,hue=0 1](-4,-4)(4,4){% - ((y^2)-(x^2))/4 } -\end{pspicture} -\end{LTXexample} -%\newpage -\section{Example 2: a saddle without a grid} - -The grid lines are suppressed, when using in the option: -\Lkeyword{grid}. -\begin{LTXexample}[width=7.5cm] -\psset{unit=0.5} -\psset{lightsrc=30 30 25} -\psset{viewpoint=50 40 30 rtp2xyz,Decran=50} -\begin{pspicture}(-7,-8)(7,8) -\psSurface[fillcolor=red!50,ngrid=.25 .25, - incolor=yellow,linewidth=0.5\pslinewidth, - grid,axesboxed](-4,-4)(4,4){% - y dup mul x dup mul sub 4 div } -\end{pspicture} -\end{LTXexample} - -%\newpage - -\section{Example 3: a \Index{paraboloid}} - -\begin{LTXexample}[width=7.5cm] -\psset{unit=0.5} -\psset{lightsrc=30 -10 10,linewidth=0.5\pslinewidth} -\psset{viewpoint=50 40 30 rtp2xyz,Decran=50} -\begin{pspicture}(-7,-4)(7,12) -\psSolid[object=grille,base=-4 4 -4 4,action=draw]% -\psSurface[ - fillcolor=cyan!50, - intersectionplan={[0 0 1 -5]}, - intersectioncolor=(bleu), - intersectionlinewidth=3, - intersectiontype=0, - ngrid=.25 .25,incolor=yellow, - axesboxed,Zmin=0,Zmax=8,QZ=4](-4,-4)(4,4){% - y dup mul x dup mul add 4 div } -\end{pspicture} -\end{LTXexample} - -\newpage - -\section{Example 4: a \Index{sinusoidal wave}} -\begin{LTXexample}[width=7.5cm] -\psset{unit=0.35} -\psset{lightsrc=30 -10 10} -\psset{viewpoint=50 20 30 rtp2xyz,Decran=70} -\begin{pspicture}(-11,-8)(7,8) -\psSurface[ngrid=.2 .2,algebraic,Zmin=-1,Zmax=1, - linewidth=0.5\pslinewidth,spotX=r,spotY=d,spotZ=l, - hue=0 1](-5,-5)(5,5){% - sin((x^2+y^2)/3) } -\end{pspicture} -\end{LTXexample} - -%\newpage - -\section{Example 5: another \Index{sinusoidal wave}} - -In this example we show how to colour the faces, each with a -different coloration, directly using PostScript code. - -\begin{LTXexample}[width=7.5cm] -\psset{unit=0.25} -\psset{lightsrc=30 -10 10} -\psset{viewpoint=100 20 20 rtp2xyz,Decran=80} -\begin{pspicture}(-15,-10)(7,12) -\psSurface[ngrid=0.4 0.4,algebraic,Zmin=-2,Zmax=10,QZ=4, - linewidth=0.25\pslinewidth, - fcol=0 1 4225 - {/iF ED iF [iF 4225 div 0.75 1] (sethsbcolor) astr2str} for - ](-13,-13)(13,13){% - 10*sin(sqrt((x^2+y^2)))/(sqrt(x^2+y^2)) } -\end{pspicture} -\end{LTXexample} - -%\newpage - -\section{Example 6: a \Index{hyperbolic paraboloid} with the equation $z = xy$} - -In this example we combine the graph of the surface and the curves -of intersection of the paraboloid with the planes $z=4$ and -$z=-4$. In this case we use \verb+\psSolid[object=courbe]+. -\begin{verbatim} -\defFunction{F}(t){t}{4 t div 4 min}{4} -\psSolid[object=courbe,range=1 4, - linecolor=red,linewidth=2\pslinewidth, - function=F] -\end{verbatim} -You will note the use of the functions \texttt{min} and -\texttt{max}, which return the minimum and the maximum, -respectively, of two values. - - -\begin{LTXexample}[width=7.5cm] -\psset{unit=0.5} -\psset{viewpoint=50 20 30 rtp2xyz,Decran=50} -\psset{lightsrc=viewpoint,linewidth=0.5\pslinewidth} -\begin{pspicture}(-7,-8)(7,8) -\psSolid[object=datfile,file=data/paraboloid,hue=0 1 0.5 1,incolor=yellow] -\gridIIID[Zmin=-4,Zmax=4,spotX=r](-4,4)(-4,4) -\defFunction{F}(t){t}{4 t div 4 min}{4} -\psSolid[object=courbe,range=1 4,r=0, - linecolor=red,linewidth=2\pslinewidth, - function=F] -\defFunction{G}(t){t}{4 t div -4 max}{4} -\psSolid[object=courbe,range=-1 -4,r=0, - linecolor=red,linewidth=2\pslinewidth, - function=G] -\defFunction{H}(t){t neg}{4 t div -4 max}{-4} -\psSolid[object=courbe,range=-1 -4,r=0, - linecolor=red,linewidth=2\pslinewidth, - function=H] -\end{pspicture} -\end{LTXexample} -%\newpage - -\section{Example 7: a surface with the equation $z = xy(x^2+y^2)$} - -\begin{LTXexample}[width=7.5cm] -\psset{unit=0.35} -\psset{lightsrc=10 12 20,linewidth=0.5\pslinewidth} -\psset{viewpoint=30 50 60 rtp2xyz,Decran=50} -\begin{pspicture}(-10,-10)(12,10) -\psSurface[ - fillcolor=cyan!50,algebraic, - ngrid=.25 .25,incolor=yellow,hue=0 1, - Zmin=-3,Zmax=3](-3,-3)(3,3){% - x*y*(x^2-y^2)*0.1} -\end{pspicture} -\end{LTXexample} - -\section{Example 8: a surface with the equation $z = \left(1-\frac{x^2+y^2}{2}\right)^2$}% $ - -\begin{LTXexample}[width=7.5cm] -\psset{unit=0.5cm,viewpoint=50 60 30 rtp2xyz,Decran=50} -\psset{lightsrc=viewpoint} -\begin{pspicture}(-4,-5)(6,8) - \psSurface[ngrid=.25 .25,incolor=yellow,linewidth=0.5\pslinewidth, - base= -2 2 -2 2, axesboxed, Zmin=-5,Zmax=2,hue=0 1](-5,-5)(5,5){% - 1 0.5 x dup mul y dup mul add mul sub dup -5 lt { pop -5 }if } -\end{pspicture} -\end{LTXexample} - -\begin{LTXexample}[width=7.5cm] -\psset{unit=0.5cm,viewpoint=50 60 30 rtp2xyz,Decran=50, - lightsrc=viewpoint} -\begin{pspicture}(-4,-5)(6,8) - \psSurface*[ngrid=.25 .25,incolor=yellow, - linewidth=0.5\pslinewidth, - r = 3 sqrt 2 mul, axesboxed, Zmin=-5,Zmax=2,hue=0 1](-5,-5)(5,5){% - 1 0.5 x dup mul y dup mul add mul sub dup -5 lt { pop -5 }if } -\end{pspicture} -\end{LTXexample} - - - -\endinput |