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-\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