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authorKarl Berry <karl@freefriends.org>2010-04-30 22:55:34 +0000
committerKarl Berry <karl@freefriends.org>2010-04-30 22:55:34 +0000
commit1d9b661b7e4fde87ad720f9b4d23c37652d63548 (patch)
tree4b37ec9e2cb2fd2b57cfd26ff7aa1d32c062601b /Master/texmf-dist/doc/generic/pst-solides3d/doc-src/par-courbeR3-en.tex
parent99edb98c9fa6d2c7930c43ad9b653dcb3022b293 (diff)
pst-solides3d 4.19 (30apr10)
git-svn-id: svn://tug.org/texlive/trunk@18060 c570f23f-e606-0410-a88d-b1316a301751
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-\section[Curves of functions from R in R\textsuperscript{3}]%
-{Curves of functions from $\mathbb{R}$ in $\mathbb{R}^3$} %$
-
-%% \section{Fonctions R --> R\textsuperscript{3}}
-
-The line of a defined \Index{function} calls the object \Lkeyval{courbe} and the option \Lkeyword{function}.
-We can realize a helix in algebraic notation with the function:
-
-\begin{verbatim}
-\defFunction[algebraic]{helice}(t){3*cos(4*t)}{3*sin(4*t)}{t}
-\end{verbatim}
-
-\psset{lightsrc=10 -20 50,viewpoint=50 -20 20 rtp2xyz,Decran=50}
-\begin{LTXexample}[width=6.5cm]
-\psset{unit=0.5}
-\begin{pspicture}(-6,-3)(6,8)
-\psframe*[linecolor=blue!50](-6,-3)(6,8)
-\psSolid[object=grille,base=-4 4 -4 4,linecolor=red,linewidth=0.5\pslinewidth]%
-\axesIIID(0,0,0)(4,4,7)
-\defFunction[algebraic]{helice}(t){3*cos(4*t)}{3*sin(4*t)}{t}
-\psSolid[object=courbe,
- r=0,
- range=0 6,
- linecolor=blue,linewidth=0.1,
- resolution=360,
- function=helice]%
-\end{pspicture}
-\end{LTXexample}
-
-\begin{LTXexample}[width=6.5cm]
-\psset{unit=0.5}
-\begin{pspicture}(-6,-3)(6,8)
-\psframe*[linecolor=blue!50](-6,-3)(6,8)
-\psset{lightsrc=10 -20 50,viewpoint=50 -20 30 rtp2xyz,Decran=50}
-\psSolid[object=grille,base=-4 4 -4 4,linecolor=red,linewidth=0.5\pslinewidth]%
-\axesIIID(0,0,0)(4,4,7)
-\psset{range=-4 4}
-\defFunction{cosRad}(t){ t 2 mul Cos 4 mul }{ t }{ 0 }
-\psSolid[object=courbe,linewidth=0.1,
- r=0,linecolor=red,
- resolution=360,
- function=cosRad]
-\psSolid[object=grille,base=-4 4 -4 4,linecolor=blue,linewidth=0.5\pslinewidth](0,0,3)
-\psPoint(0,0,3){O1}\psPoint(0,0,7){Z1}\psline(O1)(Z1)\psline[linestyle=dashed](O1)(O)
-\pstVerb{/tmin -4 def /tmax 4 def}%
-\defFunction{sinRad}(t){ t }{ t Sin 3 mul }{ 3 }
-\psSolid[object=courbe,linewidth=0.1,
- r=0,linecolor=blue,
- resolution=30,
- function=sinRad]
-\end{pspicture}
-\end{LTXexample}
-
-\begin{LTXexample}[width=6.5cm]
-\psset{unit=0.5}
-\begin{pspicture}(-6.5,-3)(7,11)
-\psset{lightsrc=10 -20 50,viewpoint=50 -20 20 rtp2xyz,Decran=50}
-\psSolid[object=grille,base=-4 4 -4 4,
- linecolor=lightgray,linewidth=0.5\pslinewidth]%
-\psSolid[object=grille,base=-4 4 0 8,
- linecolor=lightgray,RotX=90,
- linewidth=0.5\pslinewidth](0,4,0)
-\psSolid[object=grille,base=-4 4 -4 4,
- linecolor=lightgray,RotY=90,
- linewidth=0.5\pslinewidth](-4,0,4)
-\defFunction[algebraic]{helice}(t)%
- {1.3*(1-cos(2.5*t))*cos(6*t)}
- {1.3*(1-cos(2.5*t))*sin(6*t)}{t}
-\defFunction[algebraic]{helice_xy}(t)%
- {1.3*(1-cos(2.5*t))*cos(6*t)}
- {1.3*(1-cos(2.5*t))*sin(6*t)}{0}
-\defFunction[algebraic]{helice_xz}%
- (t){1.3*(1-cos(2.5*t))*cos(6*t)}{4}{t}
-\defFunction[algebraic]{helice_yz}%
- (t){-4}{1.3*(1-cos(2.5*t))*sin(6*t)}{t}
-\psset{range=0 8}
-\psSolid[object=courbe,r=0,linecolor=blue,
- linewidth=0.05,resolution=360,
- normal=0 0 1,function=helice_xy]
-\psSolid[object=courbe,r=0,
- linecolor=green,linewidth=0.05,
- resolution=360,normal=0 0 1,
- function=helice_xz]
-\psSolid[object=courbe,r=0,
- linewidth=0.05,resolution=360,
- normal=0 0 1,function=helice_yz]
-\psSolid[object=courbe,r=0,
- linecolor=red,linewidth=0.1,
- resolution=360,function=helice]
- \end{pspicture}
-\end{LTXexample}
-
-
-These last function lines are found in an animated form on the website:
-
-\centerline{\url{http://melusine.eu.org/syracuse/pstricks/pst-solides3d/animations/}}
-
-
-\endinput