Changeset 111

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Timestamp:
08/12/08 12:44:21 (4 months ago)
Author:
herbert
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M doc-en/par-transform_en_corr.tex
M doc-en/pst-solides3d-doc-EN.tex
M doc-en/Makefile

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  • trunk/doc-en/Makefile

    r109 r111  
    3939clean :  
    4040        $(RM) $(addprefix $(MAIN), .log .aux .bbl .blg .glg .glo .gls .ilg .idx .ind .tmp .toc .out ) 
    41         $(RM) $(addprefix $(MAIN), .dvi .ps) 
     41        $(RM) $(addprefix $(MAIN), .dvi .ps .brf) 
    4242 
    4343veryclean : clean 

  • trunk/doc-en/par-transform_en_corr.tex

    r109 r111  
    11\section{The option \texttt{transform}} 
    22 
    3 The option \verb+transform=...+, which is nothing else than a formula  
    4 $\mathbb{R}^3 \rightarrow  \mathbb{R}^3$, 
    5 which is applied to every point of the solid. In the first example, the  
    6 object that accepts the transformation is a cube. 
    7 The referenced cube is yellow, the transformed cube is green and the  
    8 cube before the transformation is setup with a reticule. 
     3The option \verb+transform=...+, which is nothing else than a formula $\mathbb{R}^3 \rightarrow  \mathbb{R}^3$, 
     4which is applied to every point of the solid. In the first example, the object that accepts the transformation is a cube. 
     5The referenced cube is yellow, the transformed cube is green and the cube before the transformation is setup with a reticule. 
    96 
    107\subsection{Identical scaling factor in the three coordinates} 
    118 
    12 The scaling factor is set to $0.5$. It is either introduced within the PostScript  
    13 variable `\texttt{/Facteur}': 
     9The scaling factor is set to $0.5$. It is either introduced within the PostScript variable `\texttt{/Facteur}': 
    1410\begin{verbatim} 
    1511\pstVerb{/Facteur {.5 mulv3d} def}% 
    …… 
    1713and then passed to the option \verb+transform+: 
    1814\begin{verbatim} 
    19 \psSolid[object=cube,a=2,ngrid=3,transform=Facteur](2,0,1)% 
     15\psSolid[object=cube,a=2,ngrid=3, 
     16         transform=Facteur](2,0,1)% 
    2017\end{verbatim} 
    2118or directly passed to the option: 
    2219\begin{verbatim} 
    23 \psSolid[object=cube,a=2,ngrid=3,transform={.5 mulv3d}](2,0,1)% 
     20\psSolid[object=cube,a=2,ngrid=3, 
     21         transform={.5 mulv3d}](2,0,1)% 
    2422\end{verbatim} 
    25 Here the \textit{jps} abbreviation \texttt{transform=\{.5 mulv3d\}} for a  
    26 function $\mathbb{R}^3 \rightarrow \mathbb{R}^3$ was used. 
     23Here the \textit{jps} abbreviation \texttt{transform=\{.5 mulv3d\}} for a function $\mathbb{R}^3 \rightarrow \mathbb{R}^3$ was used. 
    2724 
    2825Another method would be to use the code 
    2926\begin{verbatim} 
    30 \defFunction[algebraic]{matransformation}(x,y,z){.5*x}{.5*y}{.5*z} 
     27\defFunction[algebraic]{matransformation}(x,y,z) 
     28   {.5*x} 
     29   {.5*y} 
     30   {.5*z} 
    3131\end{verbatim} 
    3232and then pass it to the option 
    3333\Cadre{[\texttt{transform=matransformation}]}. 
    34  
    3534\begin{LTXexample}[pos=t] 
    3635\psset{viewpoint=20 60 20 rtp2xyz,lightsrc=viewpoint,Decran=20} 
    37 \begin{pspicture}(-9,-3)(6,5) 
     36\begin{pspicture}(-5,-3)(6,5) 
     37\psframe(-5,-3)(6,5) 
    3838\psSolid[object=grille,base=-4 4 -4 4,fillcolor=red!50]% 
    3939\axesIIID(0,0,0)(4,4,4)% 
    40 \psSolid[object=cube,fillcolor=yellow!50,a=2,ngrid=3](-2,0,1) 
    41 \psSolid[object=cube,fillcolor=green!50,a=2,transform={.5 mulv3d}, 
     40\psSolid[object=cube,fillcolor=yellow!50, 
     41      a=2,ngrid=3](-2,0,1) 
     42\psSolid[object=cube,fillcolor=green!50, 
     43      a=2,transform={.5 mulv3d}, 
    4244      ngrid=3](2,0,1) 
    43 \psSolid[object=cube,action=draw,a=2,ngrid=3](2,0,1) 
     45\psSolid[object=cube, 
     46      action=draw, 
     47      a=2,ngrid=3](2,0,1) 
    4448\end{pspicture} 
    4549\end{LTXexample} 
    …… 
    5155Let's for example use a factor 0.75 for $x$, 4 
    5256for $y$ and 0.5 for $z$ using the function \texttt{scaleOpoint3d} from the 
    53  \textit{jps} library---so a cube will be transformed to a cuboid. 
    54  
     57 \textit{jps} library -- so a cube will be transformed to a cuboid. 
    5558\begin{LTXexample}[pos=t] 
    5659\psset{viewpoint=20 60 20 rtp2xyz,lightsrc=viewpoint,Decran=20} 
    57 \begin{pspicture}(-9,-3)(6,5) 
     60\begin{pspicture}(-5,-3)(6,5) 
     61\psframe(-5,-3)(6,5) 
    5862\psSolid[object=grille,base=-4 4 -4 4,fillcolor=red!50]% 
    5963\axesIIID(0,0,0)(4,4,4)% 
    60 \psSolid[object=cube,fillcolor=yellow!50,a=2,ngrid=3](-2,0,1) 
    61 \psSolid[object=cube,fillcolor=green!50,a=2,transform={.75 4 .5 scaleOpoint3d}, 
     64\psSolid[object=cube,fillcolor=yellow!50, 
     65      a=2,ngrid=3](-2,0,1) 
     66\psSolid[object=cube,fillcolor=green!50, 
     67      a=2,transform={.75 4 .5 scaleOpoint3d}, 
    6268      ngrid=3](2,0,1) 
    63 \psSolid[object=cube,action=draw,a=2,ngrid=3](2,0,1) 
     69\psSolid[object=cube, 
     70      action=draw, 
     71      a=2,ngrid=3](2,0,1) 
    6472\end{pspicture} 
    6573\end{LTXexample} 
    …… 
    8189\psset{viewpoint=20 60 20 rtp2xyz,lightsrc=10 15 7,Decran=20} 
    8290\pstVerb{ 
    83 /gro { 4 dict begin 
     91/gro { 
     924 dict begin 
    8493   /M defpoint3d 
    8594   /a .5 def 
    …… 
    96105%\newpage 
    97106 
    98 \subsection{Torsion of a beam} 
     107\subsection{Bending and torsion of beams} 
    99108 
    100109The solid to the left is a prism of the height 10 cm with 20 floors 
    101 (\verb+[ngrid=20 2]+). In every floor, an additional angle of  
    102 rotation---for example 10$^{\mathrm{o}}$ around the $Oz$ axis is---given. 
    103  Now that the adjacent floors have a distance of $0.5$~cm, we multiply $z\times20$. 
     110(\verb+[ngrid=20 2]+). In every floor, an additional angle of rotation -- for example 10$^{\mathrm{o}}$ around the $Oz$ axis is -- given. 
     111 Now that the adjacent floors have a distance of $0.5$~cm, one multiplies $z\times20$. 
     112 
     113La flexion est envisagée dans le plan $xOz$ sous l'action d'une force perpendiculaire à la poutre appliquée en son extrémité. 
    104114 
    105115\begin{LTXexample}[pos=t] 
    106 \psset{viewpoint=50 50 20 rtp2xyz,lightsrc=25 37 17,Decran=50,unit=0.75} 
     116\psset{viewpoint=100 50 20 rtp2xyz,lightsrc=viewpoint,Decran=100,unit=0.65} 
    107117\begin{pspicture}(-3,-1)(3.5,11) 
     118\psframe(-3,-1)(3.5,11) 
    108119\psSolid[object=grille,base=-2 2 -2 2,ngrid=8]% 
    109120\psSolid[object=prisme,h=10,ngrid=20 2, 
    110     base=0.5 0 0.5 0.5 0 0.5 -0.5 0.5 -0.5 0 -0.5 -0.5 0 -0.5 0.5 -0.5] 
    111 \end{pspicture}\hfill 
    112 \begin{pspicture}(-3.5,-1)(3,10) 
     121        base=0.5 0 0.5 0.5 0 0.5 -0.5 0.5 -0.5 0 -0.5 -0.5 0 -0.5 0.5 -0.5]% 
     122\end{pspicture} 
     123\begin{pspicture}(-3,-1)(3.5,11) 
     124\psframe(-3,-1)(3.5,11) 
    113125\psSolid[object=grille,base=-2 2 -2 2,ngrid=8]% 
    114126\pstVerb{ 
    115   /torsion { 2 dict begin 
    116    /M defpoint3d % on r\'{e}cup\`{e}re les coordonn\'{e}es 
     127/torsion {% on tourne de 10 degrés suivant l'axe Oz à chaque niveau 
     1282 dict begin 
     129   /M defpoint3d % on récupère les coordonnées 
    117130   M /z exch def pop pop 
    118    % on tourne de 10 degr\'{e}s \`{a} chaque niveau 
    119    M 0 0 z 20 mul rotateOpoint3d 
     131    M 0 0 z 20 mul rotateOpoint3d 
    120132end} def}% 
    121133\psSolid[object=prisme,h=10,ngrid=20 2, 
    122134        base=0.5 0 0.5 0.5 0 0.5 -0.5 0.5 -0.5 0 -0.5 -0.5 0 -0.5 0.5 -0.5, 
    123135        transform=torsion]% 
     136\psTransformPoint[RotZ=20](2 0 10)(0,0,0){A} 
     137\psTransformPoint[RotZ=20](2 1 10)(0,0,0){A'} 
     138\psTransformPoint[RotZ=20](-2 0 10)(0,0,0){B} 
     139\psTransformPoint[RotZ=20](-2 -1 10)(0,0,0){B'} 
     140\psline[linecolor=red]{v-v}(A')(A)(B)(B') 
     141\end{pspicture} 
     142\begin{pspicture}(-3.5,-1)(3,11) 
     143\psframe(-3.5,-1)(3,11) 
     144\psSolid[object=grille,base=-2 2 -2 2,ngrid=8]% 
     145\pstVerb{%  idée de Christophe Poulain 
     146/flexion {% on tourne de 2 degrés suivant l'axe Oy à chaque niveau 
     1472 dict begin 
     148   /M defpoint3d % on récupère les coordonnées 
     149   M /z exch def pop pop 
     150    M 0 z 2 mul 0 rotateOpoint3d 
     151end} def}% 
     152\axesIIID(0,0,0)(3,3,10) 
     153\psSolid[object=prisme,h=10,ngrid=20 2, 
     154        base=0.5 0 0.5 0.5 0 0.5 -0.5 0.5 -0.5 0 -0.5 -0.5 0 -0.5 0.5 -0.5, 
     155        transform=flexion]% 
     156\psTransformPoint[RotY=20](0.5 0 10)(0,0,0){A} 
     157\psPoint(3 20 cos mul 20 sin 10 mul add 0.5 add,0, 20 cos 10 mul 20 sin 3 mul sub){A'} 
     158\psdot(A)\psline[linecolor=red]{-v}(A)(A') 
    124159\end{pspicture} 
    125160\end{LTXexample} 
    126161 
    127  
    128162\endinput 

  • trunk/doc-en/pst-solides3d-doc-EN.tex

    r109 r111  
    299299%\usepackage{underscore} 
    300300\ofoot{\pagemark} 
    301 \def\Input#1#2{\ifoot{{\footnotesize#2}}\input{#1#2}} 
     301\newcommand\Input[2][\datapath]{\ifoot{{\footnotesize#2}}\input{#1#2}} 
    302302% doesnt wotrk with underscores in filename 
    303303