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%%
%% A DANTE-Edition example
%%
%% Example 23-06-1 on page 392.
%%
%% Copyright (C) 2011 Herbert Voss
%%
%% It may be distributed and/or modified under the conditions
%% of the LaTeX Project Public License, either version 1.3
%% of this license or (at your option) any later version.
%%
%% See http://www.latex-project.org/lppl.txt for details.
%%
%%
%% ====
% Show page(s) 1
%%
\documentclass[]{article}
\pagestyle{empty}
\setlength\textwidth{375.57637pt}
\setlength\parindent{0pt}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{pst-solides3d,pstricks-add}
% pour le dessin du point de vue
\def\PointEcran(#1,#2,#3)#4{% position du point sur l'ecran
\pstVerb{/xM #1 def /yM #2 def /zM #3 def
/kC dE dup mul xM xE mul yM yE mul zM zE mul add add sub
xV xE mul xM xE mul sub
yV yE mul yM yE mul sub add
zV zE mul zM zE mul sub add
div def
/x_E kC xV xM sub mul xM add def
/y_E kC yV yM sub mul yM add def
/z_E kC zV zM sub mul zM add def}%
\psPoint(x_E,y_E,z_E){#4}}
\begin{document}
\psset{lightsrc=10 20 30,viewpoint=50 30 20 rtp2xyz,Decran=35}
\begin{pspicture}(-5,-5.7)(10,7)
\definecolor{bleuciel}{rgb}{0.78,0.84,0.99}
\psSolid[object=cube,fillcolor=bleuciel,a=2,action=draw*]
\psSolid[object=grille,base=0 8 0 10,action=draw,linecolor=black!20]
\psSolid[object=grille,base=0 7 0 10,action=draw,RotY=90,linecolor=black!20](0,0,7)%
\psSolid[object=grille,base=0 8 0 7,action=draw,RotX=-90,linecolor=black!20](0,0,7)%
\psSolid[object=cube,fillcolor=bleuciel,a=1,action=draw*](0.5,0.5,0.5)%
\psSolid[object=grille,base=-1 1 -1 1,action=draw,linecolor=blue](0,0,1)%
\psSolid[object=grille,base=-1 1 -1 1,action=draw,RotY=90,linecolor=blue](1,0,0)%
\psSolid[object=grille,base=-1 1 -1 1,action=draw,RotX=-90,linecolor=blue](0,1,0)%
\axesIIID(1,1,1)(8,10,7)
\pstVerb{
/dV 12 def % distance V
/dE 6 def % distance écran
/Kc dV dE sub dV div def
/Theta 60 def
/Phi 30 def
/xV dV Phi cos mul Theta cos mul def
/yV dV Phi cos mul Theta sin mul def
/zV dV Phi sin mul def
/xE Kc xV mul def
/yE Kc yV mul def
/zE Kc zV mul def
}%
\psPoint(5,10,5){L}%
\psPoint(xV,yV,zV){V}\psPoint(xE,yE,zE){E}\psPoint(xV,yV,0){Vp}
% 5 distance ecran
%\psPoint(dE Theta cos mul Phi cos div dE Theta sin mul Phi cos div 0){Vq}
\psPoint(xV,0,0){Vx}\psPoint(0,yV,0){Vy}\psPoint(0,0,zV){Vz}\psdot(V)
{\psset{linestyle=dashed,linecolor=red}
\psline(V)(Vp)\psline(Vx)(Vp)\psline(Vy)(Vp)\psline(V)(Vz)\psline(V)(O)\psline(Vp)(O)}
\psSolid[object=grille,base=-5 5 -3 3,action=draw,RotX=-60,linecolor=red](xE,yE,zE)%
\psTransformPoint[RotX=-60](-5 -3 0)(xE,yE,zE){A}
\psTransformPoint[RotX=-60](-5 3 0)(xE,yE,zE){B}
\psTransformPoint[RotX=-60](5 3 0)(xE,yE,zE){C}
\psTransformPoint[RotX=-60](5 -3 0)(xE,yE,zE){D}
\pspolygon[fillcolor=yellow!50,fillstyle=solid,opacity=0.6](A)(B)(C)(D)
{\psset{linecolor=black!60,linewidth=0.2pt}
\PointEcran(1,1,1){S1} \psPoint(1,1,1){s1} \psline(s1)(S1)(V)
\PointEcran(1,1,-1){S2} \psPoint(1,1,-1){s2} \psline(s2)(S2)(V)
\PointEcran(-1,1,-1){S3}\psPoint(-1,1,-1){s3}\psline(s3)(S3)(V)
\PointEcran(-1,1,1){S4} \psPoint(-1,1,1){s4} \psline(s4)(S4)(V)
\PointEcran(1,-1,-1){S5}\psPoint(1,-1,-1){s5}\psline(s5)(S5)(V)
\PointEcran(1,-1,1){S6} \psPoint(1,-1,1){s6} \psline(s6)(S6)(V)
\PointEcran(-1,-1,1){S7}\psPoint(-1,-1,1){s7}\psline(s7)(S7)(V)}
%
\psset{solidmemory}
\psSolid[object=plan,definition=equation,args={[0 0 1 0]},
base=-5 5 -3 3,RotX=-60,% showBase,
action=none,name=planbase]
%% here, we define the plantype object "Ecran"
\codejps{
planbase
dup xE yE zE planputorigine
dup -180 rotateplan
/Ecran exch def
}%
%% uncomment follow line to draw "Ecran"
%\psSolid[object=plan,args=Ecran,showBase,planmarks]
\psProjection[object=texte,plan=Ecran,fontsize=20,text=projection plane](-2,2)
\pspolygon[fillcolor=red!60,fillstyle=solid,opacity=0.6](S1)(S2)(S3)(S4)
\pspolygon[fillcolor=red!60,fillstyle=solid,opacity=0.6](S1)(S2)(S5)(S6)
\pspolygon[fillcolor=red!60,fillstyle=solid,opacity=0.6](S1)(S4)(S7)(S6)
\psdots(s1)(s2)(s3)(s4)(s5)(s6)(s7)(S1)(S2)(S3)(S4)(S5)(S6)(S7)
%
\psbrace[ref=lC](V)(E){Decran}
\uput[45](V){viewpoint}
\psdot(L)\uput[45](L){light source}
\end{pspicture}
\end{document}
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