diff options
author | Karl Berry <karl@freefriends.org> | 2008-08-13 23:54:43 +0000 |
---|---|---|
committer | Karl Berry <karl@freefriends.org> | 2008-08-13 23:54:43 +0000 |
commit | 7b7e2a0d8e6baf2da37c346a4138e242b9ad75b7 (patch) | |
tree | eee1c93726f3cbf65c38c8ba4c315ea1387187ea /Master/texmf-dist/doc/generic/pst-solides3d | |
parent | 5a99b762b0b4600bb3041ea0191f4806ab866625 (diff) |
pst-solides3d update (13aug08)
git-svn-id: svn://tug.org/texlive/trunk@10319 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/doc/generic/pst-solides3d')
139 files changed, 76775 insertions, 516 deletions
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Makefile b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Makefile new file mode 100644 index 00000000000..245647bac34 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Makefile @@ -0,0 +1,68 @@ +# `Makefile' for `pst-solides3d-doc.pdf', hv, 2008/08/01 + +.SUFFIXES : .tex .dvi .ps .pdf .eps + +PACKAGE = pst-solides3d + +MAIN = $(PACKAGE)-doc-EN + +LATEX = latex + +ARCHNAME = $(MAIN)-$(shell date +%y%m%d) + +ARCHFILES = $(PACKAGE).sty $(PACKAGE).tex $(PACKAGE).pro $(MAIN).tex README Changes Makefile + +TDS = ~/PSTricks/PSTricks-TDS + +all : doc clean +doc: $(MAIN).pdf + +$(MAIN).pdf : $(MAIN).ps + GS_OPTIONS=-dAutoRotatePages=/None ps2pdf $< + +$(MAIN).ps : $(MAIN).dvi + dvips $< + +$(MAIN).dvi : $(MAIN).tex + $(LATEX) $< + $(LATEX) $< + if ! test -f $(basename $<).glo ; then touch $(basename $<).glo; fi + if ! test -f $(basename $<).idx ; then touch $(basename $<).idx; fi + makeindex -s gglo.ist -t $(basename $<).glg -o $(basename $<).gls \ + $(basename $<).glo + makeindex -t $(basename $<).ilg -o $(basename $<).ind \ + $(basename $<).idx + bibtex $(basename $<) + $(LATEX) $< + $(LATEX) $< + +clean : + $(RM) $(addprefix $(MAIN), .log .aux .bbl .blg .glg .glo .gls .ilg .idx .ind .tmp .toc .out ) + $(RM) $(addprefix $(MAIN), .dvi .ps) + +veryclean : clean + $(RM) $(addprefix $(MAIN), .pdf ) + +arch : + zip $(ARCHNAME).zip $(ARCHFILES) + +tds: +# cp -u Changes $(TDS)/doc/generic/$(PACKAGE)/ +# cp -u README $(TDS)/doc/generic/$(PACKAGE)/ + cp -u $(MAIN).pdf $(TDS)/doc/generic/$(PACKAGE)/ +# + cp -u ../Changes $(TDS)/tex/latex/$(PACKAGE)/ + cp -u ../$(PACKAGE).sty $(TDS)/tex/latex/$(PACKAGE)/ +# + cp -u ../Changes $(TDS)/tex/generic/$(PACKAGE)/ + cp -u ../$(PACKAGE).tex $(TDS)/tex/generic/$(PACKAGE)/ +# + cp -u ../Changes $(TDS)/dvips/$(PACKAGE)/ + cp -u ../$(PACKAGE).pro $(TDS)/dvips/$(PACKAGE)/ +# + cp -u ../Changes $(TDS)/source/$(PACKAGE)/ + cp -u $(MAIN).tex $(TDS)/source/$(PACKAGE)/ + cp -u $(MAIN).bib $(TDS)/source/$(PACKAGE)/ + cp -u Makefile $(TDS)/source/$(PACKAGE)/ + +# EOF diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Pyramid-couleurs.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Pyramid-couleurs.dat new file mode 100644 index 00000000000..10e63400ed9 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Pyramid-couleurs.dat @@ -0,0 +1,5 @@ +(1 1 0.5 setrgbcolor) +(1 1 0.5 setrgbcolor) +(1 1 0.5 setrgbcolor) +(1 1 0.5 setrgbcolor) +(1 1 0.5 setrgbcolor) diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Pyramid-faces.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Pyramid-faces.dat new file mode 100644 index 00000000000..f7c22b10c3d --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Pyramid-faces.dat @@ -0,0 +1,5 @@ +[3 2 1 0 ] +[4 0 3 ] +[4 3 2 ] +[4 2 1 ] +[4 1 0 ] diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Pyramid-io.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Pyramid-io.dat new file mode 100644 index 00000000000..a36e8419282 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Pyramid-io.dat @@ -0,0 +1 @@ +0 4 -1 -1
\ No newline at end of file diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Pyramid-sommets.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Pyramid-sommets.dat new file mode 100644 index 00000000000..e2833cd2eb8 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/Pyramid-sommets.dat @@ -0,0 +1,5 @@ +0 -2 0 +-2 0 0 +0 4 0 +4 0 0 +0 0 5 diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/chapter_1_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/chapter_1_en_corr.tex new file mode 100644 index 00000000000..9249e30ef86 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/chapter_1_en_corr.tex @@ -0,0 +1,161 @@ +\section{Constitution of the package -- Distribution} + +\begin{itemize} +\item \textbf{Required files:} \texttt{pst-solides3d.sty}, \texttt{pst-solides3d.tex}, +\texttt{solides.pro} and the latest version of the basic PSTricks package. +\item \textbf{Workflow:} This package is made for \texttt{dvips} and \texttt{ps2pdf}, however +\texttt{pdf\TeX{}} won't work. +\item \textbf{Documentation and examples:} \texttt{pst-solides3d-doc.tex(pdf)}, +\texttt{doc-exemples-solides3d.tex(pdf)}. +\end{itemize} + +This package is available on: +\url{http://syracuse.eu.org/syracuse/pstricks/pst-solides3d/} +as well as on CTAN. + +Numerous examples are available on: +\url{http://syracuse.eu.org/lab/bpst/pst-solides3d} + +Finally, the actual developer's version is available on the +\texttt{SVN} of \textit{m\'{e}lusine}: +\url{http://syracuse-dev.org/pst-solides3d} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\section{Installation hints} + +Here we give some hints on how to install \texttt{pst-solides3d} +on your \TeX{} system. + +The \texttt{pst-solides3d} package consists of three main files: +\begin{itemize} +\item \texttt{solides.pro}: the prolog file for \texttt{pst-solides3d} +\item \texttt{pst-solides3d.sty}: the appropriate style file +\item \texttt{pst-solides3d.tex}: the appropriate tex file +\end{itemize} +as well as the actual PSTricks base files: +\begin{itemize} +\item \texttt{pstricks.pro}: the prolog file for pstricks +\item \texttt{pstricks.tex}: the appropriate tex file +\end{itemize} +available on CTAN. + +Some extension files for \texttt{pst-rubans}: +\begin{itemize} +\item \texttt{pst-rubans.sty}: the appropriate style file +\item \texttt{pst-rubans.tex}: the appropriate tex file +\end{itemize} + +Save the files \texttt{pst-solides3d.sty|tex}, +\texttt{pst-rubans.sty|tex} and \texttt{pstricks.tex} in a +directory which is part of your local \TeX{} tree. + +However the \texttt{solides.pro} and the \texttt{pstricks.pro} file should go into the +folder \verb+$TEXMF/dvips/pstricks/+ + +Do not forget to run \texttt{texhash} to update this tree. For +MiK\TeX{} users, do not forget to update the file name database +(FNDB). + +For more detailed information see the documentation of your +personal \LaTeX{} distribution on installing packages to your +local \TeX{} system. + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\section{Preface} + +The package presented in this documentation arose from teamwork +initiated via the mailing list of the syracuse web site +(\url{http://melusine.eu.org/syracuse}). + +The idea was born of a confrontation between the work of +Jean-Paul \textsc{Vignault} on the software package \textit{jps2ps}% +\footnote{\url{http://melusine.eu.org/syracuse/bbgraf/}} +and Manuel \textsc{Luque}'s work on PSTricks% +\footnote{\url{http://melusine.eu.org/syracuse/pstricks/pst-v3d/}}, +especially in relation to the subject of representing solids in +three-dimensional space. + +The two authors decided to unify their efforts and co-author a +PSTricks package dedicated to three-dimensional scenes. The work +took place on the ``machine \textit{m\'{e}lusine}'' within an +environment generated and maintained by Jean-Michel +\textsc{Sarlat}. + +The team was completed with the addition of Arnaud +\textsc{Schmittbuhl}, Herbert \textsc{Voss} +and J\"{u}rgen \textsc{Gilg}, the latter specialising in animation-based beta-testing% +\footnote{\url{http://melusine.eu.org/syracuse/pstricks/pst-solides3d/animations/}}. + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + +\section {Presentation} + +The package \texttt{pst-solides3d}, with the help of PSTricks, +allows for 3D views of predefined or user-generated solids. You +will find most of the usual solids, which can be drawn with or +without hidden edges, whose colour can be varied with lighting. + +This package can project text or simple graphics (in 2D) onto +arbitrarily chosen planes or onto plane faces of solids that are +created by the user. + +From the user's standpoint, most of its functionalities are +accessible by way of three \TeX{} macros: \bs{psSolid}, which can +manipulate objects in 3 dimensions, \bs{psSurface}, related to the +first macro and designed to represent surfaces that are defined by +an equation of the type $f(x,y) = z$ and \bs{psProjection} which +allows the user to project two-dimensional graphics/text onto any +plane face of a 3D solid. + +In using this package, two languages come together: on the one +hand PSTricks, with its well-known macros and familiar syntax, and +on the other PostScript code, which appears within the optional +arguments of the former. + +We have made the decision to strictly limit the involvement of +PSTricks. Its function is only to transmit parameters from \TeX{} +to PostScript. All calculations and displays are done by the +latter. + +A PostScript library, which was developed for another application +(the software package \textit{jps2ps}), is used for all +calculations and display routines. The PostScript code used in +this library is called \textit{jps code}. + +The aim of the present document is to describe PSTricks syntax for +each operation provided by the package. + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\section{Changes by comparison with previous versions} + +\subsection{Changes compared to version 3.0} + +\begin{itemize} +\item The macro \bs{psProjection} has been completely rewritten. We now need to use an +object of type \verb+plan+ to define a projection. +\item The object \verb+courbe+ now uses the argument $r$. To reproduce the previous behaviour +we now have to specify $r=0$. +\item The option \verb+resolution+ of the object \verb+courbe+ is replaced with the option +\verb+ngrid+ +\item Suppression of the argument \verb+tracelignedeniveau+. +\end{itemize} + +\subsection{Changes compared to version 2.0} + +\begin{itemize} +\item The option \verb+hue+ is not a Boolean anymore. +\item The scaling in PostScript will from now on follow the workings of \textit{jps code}. +To be consistent, the commands \verb+smoveto+, +\verb+srmoveto+, \verb+slineto+, \verb+srlineto+ now +respectively replace the commands \verb+moveto+, +\verb+rmoveto+, \verb+lineto+, \verb+rlineto+. +\end{itemize} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/chapter_2_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/chapter_2_en_corr.tex new file mode 100644 index 00000000000..a9138261a99 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/chapter_2_en_corr.tex @@ -0,0 +1,174 @@ +\section{Choice of the view point} + +\begin{center} + +\begin{pspicture}(-5,-5.7)(10,7) +\psset{lightsrc=10 20 30,viewpoint=50 30 20 rtp2xyz} +\definecolor{bleuciel}{rgb}{0.78,0.84,0.99} +\psSolid[object=cube,fillcolor=bleuciel,a=2,action=draw*]%% +%\psSolid[object=cubemaillage,fillcolor=bleuciel,a=2]%% +\psSolid[object=grille,base=0 8 0 10,action=draw]%% +\psSolid[object=grille,base=0 7 0 10,action=draw,RotY=90](0,0,7)% +\psSolid[object=grille,base=0 8 0 7,action=draw,RotX=-90](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 \'{e}cran + /Theta 60 def + /Phi 30 def + dV Theta Phi rtp2xyz + /zV exch def + /yV exch def + /xV exch def + dE Theta Phi rtp2xyz + /zE exch def + /yE exch def + /xE exch def + }% +\psPoint(xV,yV,zV){V} +\psPoint(xE,yE,zE){E} +\psPoint(xV,yV,0){Vp} +% +% 5 distance \'{e}cran +%\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[fillstyle=vlines,hatchcolor=yellow!90,hatchwidth=0.02,hatchsep=0.04](A)(B)(C)(D) +% +% +\PointEcran(1,1,1){S1} +\psPoint(1,1,1){s1} +\psline(S1)(V) +\psline[linestyle=dashed](s1)(S1) +% +\PointEcran(1,1,-1){S2} +\psPoint(1,1,-1){s2} +\psline(S2)(V) +\psline[linestyle=dashed](s2)(S2) +% +\PointEcran(-1,1,-1){S3} +\psPoint(-1,1,-1){s3} +\psline(S3)(V) +\psline[linestyle=dashed](s3)(S3) +% +\PointEcran(-1,1,1){S4} +\psPoint(-1,1,1){s4} +\psline(S4)(V) +\psline[linestyle=dashed](s4)(S4) +% +\PointEcran(1,-1,-1){S5} +\psPoint(1,-1,-1){s5} +\psline(S5)(V) +\psline[linestyle=dashed](s5)(S5) +% +\PointEcran(1,-1,1){S6} +\psPoint(1,-1,1){s6} +\psline(S6)(V) +\psline[linestyle=dashed](s6)(S6) +% +\PointEcran(-1,-1,1){S7} +\psPoint(-1,-1,1){s7} +\psline(S7)(V) +\psline[linestyle=dashed](s7)(S7) +\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 Screen](-2,2) + +% +\psset{linecolor=red,fillstyle=vlines,hatchsep=0.04,hatchwidth=0.02} +\pspolygon[hatchcolor=red!60](S1)(S2)(S3)(S4) +\pspolygon[,hatchcolor=red!60](S1)(S2)(S5)(S6) +\pspolygon[hatchcolor=red!10](S1)(S4)(S7)(S6) +\psdots(s1)(s2)(s3)(s4)(s5)(s6)(s7)(S1)(S2)(S3)(S4)(S5)(S6)(S7) +% +\uput[45](V){$V$} +\end{pspicture} +\end{center} + +The coordinates of the object, in this case the bluish cube, are setup in the axes of coordinates $Oxyz$. The coordinates of the view point ($V$), are setup in the same axes of coordinates, either in spherical coordinates---with the adding option \verb+[rtp2xyz]+, or in Cartesian coordinates---which is the default option. + +Example: \verb+[viewpoint=50 30 20 rtp2xyz]+ + +The projection screen is placed perpendicular to the direction $OV$---central perspective, at a distance of $V$: \verb+[Decran=50]+ (default value), this value can be positive or negative. + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\section{The axes in 3d} + +The command \verb+\axesIIID[options](x1,y1,z1)(x2,y2,z2)+ draws the axes $Ox$, +$Oy$ and $Oz$ dashed from the origin $O$ to the coordinates +$(x_1,0,0)$ for the $x$-axis, $(0,y_1,0)$ for the $y$-axis and +$(0,0,z_1)$ for the $z$-axis and from there continues drawing the axes as lines to the points $(x_2,0,0)$, $(0,y_2,0)$ and $(0,0,z_2)$. + +The options are the following: +\begin{itemize} + \item all color options, line width as well as all possibilities of arrows. + \item \verb+labelsep=value+ which allows to position the label in a self defined distance away from the extremity of the arrow of the axis, the default value is \verb+labelsep=5pt+---this is a real distance in three dimensions and not on screen. + \item the choice of the labels on each of the axes with the option: \verb+axisnames={a,b,c}+, the default values are \verb+axisnames={x,y,z}+. + \item the possibility to specify the style of the labels with the option: \verb+axisemph={\boldmath\Large\color{red}}+, by default there is no style predefined, which means, if no style is chosen one will get \verb+$x,y,z$+. + \item \verb+showOrigin+ is a Boolean, \texttt{true} by default, if it is set to \verb+showOrigin=false+ the dashed lines aren't drawn to the origin anymore. + \item \verb+mathLabel+ is a Boolean, \texttt{true} by default, in this case the math mode is activated, set to \verb+mathLabel=false+ the labels are set to the usual mode. +\end{itemize} +\encadre{The labels are placed at the extemities of the axes in their prolongation.} + +\begin{LTXexample}[width=5cm] +\begin{pspicture}(-2,-2)(3,3) +\psset{viewpoint=100 30 20,Decran=100} +\psSolid[object=cube,a=2, + action=draw*, + fillcolor=magenta!20] +\axesIIID[showOrigin=false](1,1,1)(3,2,2.5) +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[width=5cm] +\begin{pspicture}(-2,-1)(3,4) +\psset{viewpoint=100 45 20,Decran=100} +\psSolid[object=cylindre,h=2,r=1, + action=draw*,mode=4, + fillcolor=green!20] +\axesIIID[linewidth=1pt,linecolor=red,arrowsize=5pt, + arrowinset=0,axisnames={a,b,c}, + axisemph={\boldmath\Large\color{red}}, + labelsep=10pt] + (1,1,2)(2,2,3) +\end{pspicture} +\end{LTXexample} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubeHexagone-couleurs.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubeHexagone-couleurs.dat new file mode 100644 index 00000000000..6338c59f8d0 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubeHexagone-couleurs.dat @@ -0,0 +1,7 @@ +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubeHexagone-faces.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubeHexagone-faces.dat new file mode 100644 index 00000000000..b21b44fb7f6 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubeHexagone-faces.dat @@ -0,0 +1,7 @@ +[7 4 5 8 9 6 ] +[4 0 5 ] +[6 1 7 ] +[7 1 2 0 4 ] +[5 0 2 3 8 ] +[8 3 9 ] +[9 3 2 1 6 ] diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubeHexagone-io.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubeHexagone-io.dat new file mode 100644 index 00000000000..27f7ff02f2e --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubeHexagone-io.dat @@ -0,0 +1 @@ +0 6 -1 -1
\ No newline at end of file diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubeHexagone-sommets.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubeHexagone-sommets.dat new file mode 100644 index 00000000000..857d598aa6c --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubeHexagone-sommets.dat @@ -0,0 +1,10 @@ +0.0 0.0 2.0 +0.0 2.0 0.0 +0.0 0.0 0.0 +2.0 0.0 0.0 +0.0 0.999913 2.0 +0.999913 0.0 2.0 +0.999913 2.0 0.0 +0.0 2.0 0.999913 +2.0 0.0 0.999913 +2.0 0.999913 0.0 diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubecolor-couleurs.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubecolor-couleurs.dat new file mode 100644 index 00000000000..d4de66278c1 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubecolor-couleurs.dat @@ -0,0 +1,96 @@ +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubecolor-faces.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubecolor-faces.dat new file mode 100644 index 00000000000..8f7f196800c --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubecolor-faces.dat @@ -0,0 +1,96 @@ +[0 1 6 5 ] +[1 2 7 6 ] +[2 3 8 7 ] +[3 4 9 8 ] +[5 6 11 10 ] +[6 7 12 11 ] +[7 8 13 12 ] +[8 9 14 13 ] +[10 11 16 15 ] +[11 12 17 16 ] +[12 13 18 17 ] +[13 14 19 18 ] +[15 16 21 20 ] +[16 17 22 21 ] +[17 18 23 22 ] +[18 19 24 23 ] +[20 21 26 25 ] +[21 22 27 26 ] +[22 23 28 27 ] +[23 24 29 28 ] +[25 26 31 30 ] +[26 27 32 31 ] +[27 28 33 32 ] +[28 29 34 33 ] +[30 31 36 35 ] +[31 32 37 36 ] +[32 33 38 37 ] +[33 34 39 38 ] +[35 36 41 40 ] +[36 37 42 41 ] +[37 38 43 42 ] +[38 39 44 43 ] +[40 41 46 45 ] +[41 42 47 46 ] +[42 43 48 47 ] +[43 44 49 48 ] +[45 46 51 50 ] +[46 47 52 51 ] +[47 48 53 52 ] +[48 49 54 53 ] +[50 51 56 55 ] +[51 52 57 56 ] +[52 53 58 57 ] +[53 54 59 58 ] +[55 56 61 60 ] +[56 57 62 61 ] +[57 58 63 62 ] +[58 59 64 63 ] +[60 61 66 65 ] +[61 62 67 66 ] +[62 63 68 67 ] +[63 64 69 68 ] +[65 66 71 70 ] +[66 67 72 71 ] +[67 68 73 72 ] +[68 69 74 73 ] +[70 71 76 75 ] +[71 72 77 76 ] +[72 73 78 77 ] +[73 74 79 78 ] +[75 76 1 0 ] +[76 77 2 1 ] +[77 78 3 2 ] +[78 79 4 3 ] +[9 4 79 86 ] +[14 9 86 87 ] +[19 14 87 88 ] +[24 19 88 29 ] +[86 79 74 83 ] +[83 74 69 80 ] +[88 87 84 85 ] +[87 86 83 84 ] +[85 84 81 82 ] +[84 83 80 81 ] +[29 88 85 34 ] +[34 85 82 39 ] +[80 69 64 59 ] +[81 80 59 54 ] +[82 81 54 49 ] +[39 82 49 44 ] +[0 5 95 75 ] +[15 20 25 97 ] +[91 35 40 45 ] +[65 89 55 60 ] +[5 10 96 95 ] +[10 15 97 96 ] +[89 90 50 55 ] +[90 91 45 50 ] +[97 25 30 94 ] +[94 30 35 91 ] +[75 95 92 70 ] +[70 92 89 65 ] +[92 93 90 89 ] +[93 94 91 90 ] +[95 96 93 92 ] +[96 97 94 93 ] diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubecolor-io.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubecolor-io.dat new file mode 100644 index 00000000000..37bf237daf3 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubecolor-io.dat @@ -0,0 +1 @@ +0 95 -1 -1
\ No newline at end of file diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubecolor-sommets.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubecolor-sommets.dat new file mode 100644 index 00000000000..594638cf953 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/cubecolor-sommets.dat @@ -0,0 +1,98 @@ +-0.125 -0.125 0.225 +-0.0625 -0.125 0.225 +0.0 -0.125 0.225 +0.0625 -0.125 0.225 +0.125 -0.125 0.225 +-0.125 -0.0625 0.225 +-0.0625 -0.0625 0.225 +0.0 -0.0625 0.225 +0.0625 -0.0625 0.225 +0.125 -0.0625 0.225 +-0.125 0.0 0.225 +-0.0625 0.0 0.225 +0.0 0.0 0.225 +0.0625 0.0 0.225 +0.125 0.0 0.225 +-0.125 0.0625 0.225 +-0.0625 0.0625 0.225 +0.0 0.0625 0.225 +0.0625 0.0625 0.225 +0.125 0.0625 0.225 +-0.125 0.125 0.225 +-0.0625 0.125 0.225 +0.0 0.125 0.225 +0.0625 0.125 0.225 +0.125 0.125 0.225 +-0.125 0.125 0.1625 +-0.0625 0.125 0.1625 +0.0 0.125 0.1625 +0.0625 0.125 0.1625 +0.125 0.125 0.1625 +-0.125 0.125 0.1 +-0.0625 0.125 0.1 +0.0 0.125 0.1 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298 318] +[ 404 384 381] diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/fusee62-couleurs.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/fusee62-couleurs.dat new file mode 100644 index 00000000000..ff0a2f86d82 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/fusee62-couleurs.dat @@ -0,0 +1,2286 @@ +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) 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8.0 0.438371 +1.00244 8.0 0.0697565 +1.04894 8.0 -0.309017 +1.23396 8.0 -0.642788 +1.53053 8.0 -0.882948 +1.89547 8.0 -0.994522 +2.27564 8.0 -0.961262 +2.61566 8.0 -0.788011 +2.86603 8.0 -0.5 +3.0 9.0 0.0 +2.92718 9.0 0.374607 +2.71934 9.0 0.694658 +2.40674 9.0 0.913545 +2.0349 9.0 0.999391 +1.65798 9.0 0.939693 +1.33087 9.0 0.743145 +1.10121 9.0 0.438371 +1.00244 9.0 0.0697565 +1.04894 9.0 -0.309017 +1.23396 9.0 -0.642788 +1.53053 9.0 -0.882948 +1.89547 9.0 -0.994522 +2.27564 9.0 -0.961262 +2.61566 9.0 -0.788011 +2.86603 9.0 -0.5 diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-acknowledgements_en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-acknowledgements_en.tex new file mode 100644 index 00000000000..aa380b6824f --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-acknowledgements_en.tex @@ -0,0 +1,22 @@ +\section{Acknowledgments} + +Spontaneous and diligent proofreading assistance from various +members of the PSTricks list made it possible to produce this +English version of the \texttt{pst-solides3d} documentation. We +hope that this will help and encourage more of you to set about +depicting your own 3D solids. + +So, many thanks from the ``\'{e}quipe solide'' go to: % here ``\'{e}quipe solide'' is meant as a nice word game... + +Gerry~\textsc{Coombes}, +%Martijn \textsc{Frijlink}, +%Manjusha \textsc{Joshi}, +%E.~\textsc{Krishnan}, +Zbiginiew~\textsc{Nitecki}, +D.~P.~\textsc{Story}, +Herbert~\textsc{Voss} + +Additional thanks go to Gerry \textsc{Coombes}, who generated a keyword glossary +for the \texttt{pst-solides3d} package and who proofed the terminology for consistency. + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-affinage_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-affinage_en_corr.tex new file mode 100644 index 00000000000..922b7020fc2 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-affinage_en_corr.tex @@ -0,0 +1,66 @@ +\section{Hollowing out a solid's faces} + +We call \textit{hollowing by the ratio $k$} an operation, which for a given +face with the center $G$, executes a dilation on that face with the ratio +$k$, then divides the original face with using this new face. + +For example, a cube with a hollow of its top face with a ratio of $0.8$: + +\begin{center} +\psset{unit=0.5} +\psset{lightsrc=10 0 10,viewpoint=50 -20 30 rtp2xyz,Decran=50} +\begin{pspicture*}(-4,-4)(4,4) +\psframe(-4,-4)(4,4) +\psSolid[object=cube, + fillcolor=red, + affinagerm, + fcolor=Yellow, + affinage=0] +\end{pspicture*} +\end{center} + +The option \verb+affinage+ allows to hollow a solid's faces either globally or +individually. This option uses the key \verb+affinagecoeff+ +(value $0.8$ by default) which indicates the ratio $k$ used for the +hollow ($0<k<1$). +% +\begin{itemize} + \item \verb+[affinage=all]+ hollows all the faces; + \item \verb+[affinage=0 1 2 3]+ hollows the faces \texttt{[0,1,2 and 3]}; +\end{itemize} + +When a face is hollowed out, the default behaviour suppresses the resulting central +face. However, the option \verb+affinagerm+ allows us to conserve that central face. + +When we conserve the centre face, it is---by default---drawn with the same colour +as the original. The option \verb+fcolor+ permits to specify another colour. + +%\newpage +\psset{lightsrc=10 0 10,viewpoint=50 -20 30 rtp2xyz,Decran=50} +\begin{LTXexample}[width=6cm] +\psset{unit=0.5} +\begin{pspicture*}(-5,-4)(6,5) +\psSolid[object=cube, + fillcolor=cyan, + incolor=red, + hollow, + affinage=0] +\end{pspicture*} +\end{LTXexample} +% + +\psset{lightsrc=10 0 10,viewpoint=50 -20 30 rtp2xyz,Decran=50} +\begin{LTXexample}[width=6cm] +\psset{unit=0.5} +\begin{pspicture*}(-5,-4)(6,5) +\psSolid[object=cube, + fillcolor=cyan, + affinagecoeff=.5, + affinagerm, + fcolor=.5 setfillopacity Yellow, + hollow, + affinage=all] +\end{pspicture*} +\end{LTXexample} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-anneaux_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-anneaux_en_corr.tex new file mode 100644 index 00000000000..3067f718dc0 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-anneaux_en_corr.tex @@ -0,0 +1,397 @@ + +\section{Solid rings} + +This paragraph discusses the cylindric rings. Within the macro +\bs{psSolid}, this object is passed with the option: +\verb+[object=anneau]+, that comes with 3 parameters: +\begin{itemize} + \item the inner radius \verb+[r=1.5]+ (value by default); + \item the outer radius \verb+[R=4]+ (value by default); + \item the height \verb+[h=6]+ (value by default). +\end{itemize} + +The argument \verb+ngrid+ defines the number of sections used to make a complete +rotation of $360$~degrees. Its default value is $24$. + +The section of the ring, whose shape is \textit{rectangular} was chosen as default, +and can be redesigned by the user. +We will discuss different examples of sections for rings. + +\subsection{Predefined command: the ring with a rectangular section} + +This section is defined in the plane $Oyz$, it is parameterized with the +triple $(r, R, h)$. The values of the outer radius $R$, inner radius $r$ and the +height $h$ are passed in the macro \bs{psSolid}. By default, one has a ring with +a variable rectangular section, and the definition takes place at the time +of the transmission of the values $(r, R, h)$ into the options of \bs{psSolid}. + +If the user redefines the \TeX {} macro \verb+\Section+ with some numeric values +instead of the parameters $r$, $R$ and $h$, then +the ring won't be variable anymore and it is not necessary to transmit the +values $r$, $R$, and $h$ into the options of \bs{psSolid}. + +\begin{minipage}{0.45\linewidth} +\begin{verbatim} +\newcommand\Section{% +% y z + R h 2 div neg % sommet 1 + % S1 (R,-h/2) + R h 2 div % sommet 2 + % S2 (r,h/2) + r h 2 div % sommet 3 + % S3 (r,h/2) + r h 2 div neg % sommet 4 + % S4 (r,-h/2) + } +\end{verbatim} +\end{minipage} +\hfill +\begin{minipage}{0.45\linewidth} +\psset{unit=0.5} +\begin{pspicture}(-5,-3)(5,3) +\pstVerb{/R 4 def /r 2 def /h 2 def}% +\newcommand\RectangularSection{% + \pspolygon[fillstyle=vlines,linewidth=2\pslinewidth]% + (!R h 2 div neg)(!R h 2 div)(!r h 2 div)(!r h 2 div neg)} +\rput(0,0){\RectangularSection}\rput(-6,0){\RectangularSection} +\psline(-2,1)(2,1)\psline(-2,-1)(2,-1) +\psline[linestyle=dashed,dash=1 0.2 0.05 0.2]{->}(0,-3)(0,3) +\psline[linestyle=dashed]{->}(-4,0)(4.2,0) +\uput[u](0,3){$z$}\uput[r](4.1,0){$y$}\uput[dl](0,0){$O$} +\psline{->}(0,1.5)(2,1.5)\uput[u](1,1.5){$r$} +\psline{->}(0,2.5)(4,2.5)\uput[u](2,2.5){$R$} +\psline{<->}(5,-1)(5,1)\uput[r](5,0){$h$} +\uput[dr](!R h 2 div neg){1} +\uput[ur](!R h 2 div ){2} +\uput[ul](!r h 2 div ){3} +\uput[dl](!r h 2 div neg){4} +\end{pspicture} +\end{minipage} +\newpage +\begin{LTXexample}[width=6cm] +\psset{unit=0.5} +\begin{pspicture}(-5,-4)(5,4) +\psset[pst-solides3d]{viewpoint=50 20 40 rtp2xyz, + Decran=25,lightsrc=10 20 20} +\psSolid[object=anneau,fillcolor=cyan, + h=3,R=8,r=6,ngrid=4,RotX=10](0,0,0) +\end{pspicture}\\ +\begin{pspicture}(-5,-4)(5,4) +\psset[pst-solides3d]{viewpoint=50 -20 -40 rtp2xyz, + Decran=25,lightsrc=-10 -20 -20} +\psSolid[object=anneau, +fillcolor=yellow,h=3,R=8,r=6, +RotX=90,RotZ=10](0,0,0) +\end{pspicture} +\end{LTXexample} + + + +\subsection{Example 1: a simple ring with a triangular section} + +Below is a very simple ring with a fixed triangular section. + The section is defined by $3$~points $(6, -2)$, $(10, 0)$ +and $(6, 2)$ within the option \verb+section+ of \bs{psSolid}. + +\begin{LTXexample}[width=6cm] +\psset{unit=0.5} +\begin{pspicture}(-5,-6)(5,6) +\psset[pst-solides3d]{viewpoint=50 20 40 rtp2xyz,Decran=25, + lightsrc=10 20 20} +\psSolid[object=anneau, + section=6 -2 10 0 6 2, + fillcolor=cyan,RotX=10]% +\end{pspicture} +\end{LTXexample} + +%\newpage + +\subsection{Example 1: a ring with a variable triangular section} + +\newcommand\SectionTriangulaire{ + R h 2 div neg % sommet 1 + R r add 2 div h 2 div % sommet 2 + r h 2 div neg % sommet 3 +} + +\begin{minipage}{0.45\linewidth} +\begin{verbatim} +\newcommand\SectionTriangulaire{ +% y <----z----> + R h 2 div neg + % S1 (R,-h/2) + R r add 2 div h 2 div + % S2 ((R+r)/2,h/2) + r h 2 div neg + % S3 (r,-h/2) +} +\end{verbatim} +\end{minipage} +\hfill +\begin{minipage}{0.45\linewidth} +\psset{unit=0.5} +\begin{pspicture}(-5,-3)(5,3) +%\psgrid +\pstVerb{/R 4 def /r 2 def /h 2 def}% +\newcommand\TriangularSection{% + \pspolygon[fillstyle=vlines,linewidth=2\pslinewidth]% + (!R h 2 div neg)(!R r add 2 div h 2 div)(!r h 2 div neg)} +\rput(0,0){\TriangularSection}\rput(-6,0){\TriangularSection} +\psline(-3,1)(3,1)\psline(-4,-1)(4,-1) +\psline[linestyle=dashed,dash=1 0.2 0.05 0.2]{->}(0,-3)(0,3) +\uput[u](0,3){$z$}\uput[r](4.1,0){$y$}\uput[dl](0,0){$O$} +\psline[linestyle=dashed](2,-1)(2,1.5) +\psline[linestyle=dashed](4,-1)(4,2.5) +\psline[linestyle=dashed]{->}(-4,0)(4.2,0) +\psline{->}(0,1.5)(2,1.5)\uput[u](1,1.5){$r$} +\psline{->}(0,2.5)(4,2.5)\uput[u](2,2.5){$R$} +\psline{<->}(5,-1)(5,1)\uput[r](5,0){$h$} +\uput[dr](!R h 2 div neg){1} +\uput[u](!R r add 2 div h 2 div){2} +\uput[dl](!r h 2 div neg){3} +\end{pspicture} +\end{minipage} +\begin{center} +%% +\psset{unit=0.5} +\begin{pspicture}(-5,-6)(5,6) +\psframe(-5,-4)(5,4) +\psset[pst-solides3d]{viewpoint=50 20 40 rtp2xyz,Decran=25,lightsrc=10 20 20} +\psSolid[object=anneau,section=\SectionTriangulaire,fillcolor=cyan,h=3,R=8,r=4,RotX=10]% +\end{pspicture} +%% +\begin{pspicture}(-5,-6)(5,5) +\psframe(-5,-4)(5,4) +\psset[pst-solides3d]{viewpoint=50 -20 -40 rtp2xyz,Decran=25,lightsrc=-10 -20 -20} +\psSolid[object=anneau,section=\SectionTriangulaire,fillcolor=yellow,h=3,R=8,r=4,RotX=-90,RotZ=10]% +\end{pspicture} +\end{center} + +\begin{verbatim} +\psSolid[object=anneau,section=\SectionTriangulaire,% + fillcolor=cyan,h=3,R=8,r=4,RotX=10](0,0,0) +\psSolid[object=anneau,section=\SectionTriangulaire,% + fillcolor=yellow,h=3,R=8,r=4,RotX=-90,RotZ=10](0,0,0) +\end{verbatim} + +%%\newpage + +\newcommand\SectionPneu{ + /m {90 4 div} bind def + /Scos {m cos 2 m mul cos add 3 m mul cos add} bind def + /Z0 {h 4 div} bind def + /c {Z0 Scos div} bind def + /Z1 {Z0 c m cos mul add} bind def + /Z2 {Z1 c m 2 mul cos mul add} bind def + /R1 {R c m sin mul sub} bind def + /R2 {R1 c m 2 mul sin mul sub} bind def + /R3 {R2 c m 3 mul sin mul sub} bind def + R h 4 div neg % 1 + R h 4 div % 2 + R1 Z1 % 3 + R2 Z2 % 4 + R3 h 2 div % 5 + r h 2 div % 6 + r h 2 div neg % 7 + R3 h 2 div neg % 8 + R2 Z2 neg % 9 + R1 Z1 neg % 10 + } + +\subsection{Example 3: a ring with a``tyre''-like section: cylindric ring with chamfered edges} + +\begin{minipage}{0.45\linewidth} +{\small +\begin{verbatim} +\renewcommand\SectionPneu{ + /m {90 4 div} bind def + /Scos {m cos 2 m mul cos add 3 m mul cos add} bind def + /Z0 {h 4 div} bind def + /c {Z0 Scos div} bind def + /Z1 {Z0 c m cos mul add} bind def + /Z2 {Z1 c m 2 mul cos mul add} bind def + /R1 {R c m sin mul sub} bind def + /R2 {R1 c m 2 mul sin mul sub} bind def + /R3 {R2 c m 3 mul sin mul sub} bind def + R h 4 div neg % 1 + R h 4 div % 2 + R1 Z1 % 3 + R2 Z2 % 4 + R3 h 2 div % 5 + r h 2 div % 6 + r h 2 div neg % 7 + R3 h 2 div neg % 8 + R2 Z2 neg % 9 + R1 Z1 neg % 10 + } +\end{verbatim}} +\end{minipage} +\hfill +\begin{minipage}{0.45\linewidth} +%\psset{unit=0.65} +\begin{pspicture}(-2,-3)(5,6) +%\psgrid +\pstVerb{/R 4 def /r 2 def /h 2 def}% +\pstVerb{/m {90 4 div} bind def + /Scos {m cos 2 m mul cos add 3 m mul cos add} bind def + /Z0 {h 4 div} bind def + /c {Z0 Scos div} bind def + /Z1 {Z0 c m cos mul add} bind def + /Z2 {Z1 c m 2 mul cos mul add} bind def + /R1 {R c m sin mul sub} bind def + /R2 {R1 c m 2 mul sin mul sub} bind def + /R3 {R2 c m 3 mul sin mul sub} bind def}% +\pnode(!R h 4 div neg){S1} +\pnode(!R h 4 div){S2} +\pnode(!R1 Z1){S3} +\pnode(!R2 Z2){S4} +\pnode(!R3 h 2 div){S5} +\pnode(!r h 2 div){S6} +\pnode(!r h 2 div neg){S7} +\pnode(!R3 h 2 div neg){S8} +\pnode(!R2 Z2 neg){S9} +\pnode(!R1 Z1 neg){S10} +\newcommand\pneuSection{\pspolygon[fillstyle=vlines,linewidth=2\pslinewidth]% + (S1)(S2)(S3)(S4)(S5)(S6)(S7)(S8)(S9)(S10)} +\rput(0,0){\pneuSection}\rput{180}{\pspolygon[fillstyle=vlines,linewidth=2\pslinewidth]% + (!R h 4 div neg)(!R h 4 div)(!R1 Z1)(!R2 Z2)(!R3 h 2 div)(!r h 2 div)(!r h 2 div neg)(!R3 h 2 div neg)(!R2 Z2 neg)(!R1 Z1 neg)} +\psline(-3,1)(3,1)\psline(-3,-1)(3,-1) +\psline[linestyle=dashed,dash=1 0.2 0.05 0.2]{->}(0,-3)(0,3) +\uput[u](0,3){$z$}\uput[r](4.1,0){$y$}\uput[dl](0,0){$O$} +\psline[linestyle=dashed](2,-1)(2,1.5) +\psline[linestyle=dashed](4,-1)(4,2.5) +\psline[linestyle=dashed]{->}(-4,0)(4.2,0) +\psline{->}(0,1.5)(2,1.5)\uput[u](1,1.5){$r$} +\psline{->}(0,2.5)(4,2.5)\uput[u](2,2.5){$R$} +\psline{<->}(5,-1)(5,1)\uput[r](5,0){$h$} +\uput[r](S1){1} +\uput[r](S2){2} +\uput[u](S3){3} +\uput[u](S4){4} +\uput[u](S5){5} +\uput[ul](S6){6} +\uput[dl](S7){7} +\uput[dl](S8){8} +\uput[dr](S9){9} +\uput[r](S10){10} +\psdots[linecolor=red](S1)(S2)(S3)(S4)(S5)(S6)(S7)(S8)(S9)(S10) +\end{pspicture} +\end{minipage} + +%\iffalse +\begin{center} +\psset{unit=0.7} +\begin{pspicture}(-5,-5)(5,4) +\psframe(-5,-4)(5,4) +\psset[pst-solides3d]{viewpoint=50 20 40 rtp2xyz,Decran=25,lightsrc=10 20 20} +\psSolid[object=anneau,section=\SectionPneu,fillcolor=cyan,h=3,R=8,r=4,RotX=10]% +\end{pspicture} +%% +\begin{pspicture}(-5,-5)(5,4) +\psframe(-5,-4)(5,4) +\psset[pst-solides3d]{viewpoint=50 -20 -40 rtp2xyz,Decran=25,lightsrc=-10 -20 -20} +\psSolid[object=anneau,section=\SectionPneu,fillcolor=yellow,h=3,R=8,r=4,RotX=-90,RotZ=10]% +\end{pspicture} +\end{center} +%% + +\begin{verbatim} +\psSolid[object=anneau,section=\SectionPneu,% + fillcolor=cyan,h=3,R=8,r=4,RotX=10](0,0,0) +\psSolid[object=anneau,section=\SectionPneu,% + fillcolor=yellow,h=3,R=8,r=4,RotX=-90,RotZ=10]% +\end{verbatim} + +%\fi +\newpage + +\subsection{Example 4: an empty bobbin} + +\newcommand\SectionBobine{ + r h 2 div % 1 + r h 2 div neg % 2 + R h 2 div neg % 3 + R h 3 div neg % 4 + R h 4 div sub h 3 div neg % 5 + R h 4 div sub h 3 div % 6 + R h 3 div % 7 + R h 2 div % 8 + } + +\begin{minipage}{0.45\linewidth} +\begin{verbatim} +\newcommand\SectionBobine{ + r h 2 div % 1 + r h 2 div neg % 2 + R h 2 div neg % 3 + R h 3 div neg % 4 + R h 4 div sub h 3 div neg % 5 + R h 4 div sub h 3 div % 6 + R h 3 div % 7 + R h 2 div % 8 + } +\end{verbatim} +\end{minipage} +\hfill +\begin{minipage}{0.45\linewidth} +\begin{pspicture}(-2,-2)(5,2) +\pstVerb{/RB 4 def /rB 2 def /hB 3 def}% +\pnode(!rB hB 2 div){S1} +\pnode(!rB hB 2 div neg){S2} +\pnode(!RB hB 2 div neg){S3} +\pnode(!RB hB 3 div neg){S4} +\pnode(!RB hB 4 div sub hB 3 div neg){S5} +\pnode(!RB hB 4 div sub hB 3 div){S6} +\pnode(!RB hB 3 div){S7} +\pnode(!RB hB 2 div){S8} +\newcommand\pneuSection{\pspolygon[fillstyle=vlines,linewidth=2\pslinewidth]% + (S1)(S2)(S3)(S4)(S5)(S6)(S7)(S8)} +\rput(0,0){\pneuSection}\rput{180}{\pspolygon[fillstyle=vlines,linewidth=2\pslinewidth]% + (!rB hB 2 div)(!rB hB 2 div neg)(!RB hB 2 div neg)(!RB hB 3 div neg)(!RB hB 4 div sub hB 3 div neg)(!RB hB 4 div sub hB 3 div)(!RB hB 3 div)(!RB hB 2 div)} +\psline(-3,1.5)(3,1.5)\psline(-3,-1.5)(3,-1.5) +\psline[linestyle=dashed,dash=1 0.2 0.05 0.2]{->}(0,-3)(0,3) +\uput[u](0,3){$z$}\uput[r](4.1,0){$y$}\uput[dl](0,0){$O$} +\psline[linestyle=dashed](2,-1)(2,1.5) +\psline[linestyle=dashed](4,-1)(4,2.5) +\psline[linestyle=dashed](-4,-1)(4,-1) +\psline[linestyle=dashed](-4,1)(4,1) +\psline[linestyle=dashed]{->}(-4,0)(4.2,0) +\psline{->}(0,1.8)(2,1.8)\uput[u](1,1.8){$r$} +\psline{->}(0,2.5)(4,2.5)\uput[u](2,2.5){$R$} +\psline{<->}(5,-1.5)(5,1.5)\uput[r](5,0){$h$} +\uput[u](S1){1} +\uput[d](S2){2} +\uput[d](S3){3} +\uput[r](S4){4} +\uput[ur](S5){5} +\uput[dr](S6){6} +\uput[r](S7){7} +\uput[r](S8){8} +\psdots[linecolor=red](S1)(S2)(S3)(S4)(S5)(S6)(S7)(S8) +\end{pspicture} +\end{minipage} +\begin{center} +\begin{pspicture}(-5,-6)(5,5) +\psframe*[linecolor=blue!50](-5,-5)(5,4) +\psset[pst-solides3d]{viewpoint=70 40 10 rtp2xyz,Decran=25,lightsrc=0 30 100} +\psSolid[object=grille,base=-15 15 -15 15,fillcolor=yellow!30!black!10](0,0,-8) +%\psSolid[object=prisme,h=2,base=-15 1 -15 -1 15 -1 15 1](0,0,-8) +\psSolid[object=anneau,section=\SectionBobine,fillcolor=gray!50,h=6,R=8,r=4,RotX=90,linecolor=gray]% +\end{pspicture} +\end{center} +\begin{verbatim} +\psSolid[object=grille,base=-15 15 -15 15,fillcolor=yellow!30](0,0,-8) +\psSolid[object=anneau,section=\SectionBobine,% + fillcolor=gray!50,h=6,R=8,r=4,RotX=90,linecolor=gray]% +\end{verbatim} + + + +\subsection{Some other rings} + +Three other examples are available on the website: + +\centerline{\url{http://syracuse.eu.org/lab/bpst/pst-solides3d/anneaux}} + + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-annoterschema_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-annoterschema_en_corr.tex new file mode 100644 index 00000000000..447f2914a34 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-annoterschema_en_corr.tex @@ -0,0 +1,119 @@ +\section{Adding dimensions to the scenery} + +It is very interesting to add dimensions to the scenery. We take the example +of the methane molecule, where we want to insert the distances and angles. + +The first step consists of representing the molecule with its bonds and +characteristic dimensions, and then draw it in a good looking way. + +\begin{center} +\begin{pspicture}(-4,-4)(4,5) +\psset{viewpoint=100 50 20 rtp2xyz,Decran=30,RotY=-30} +{\psset{lightintensity=1,linewidth=0.5\pslinewidth} +\psframe(-4,-4)(4,5) +\codejps{ + /L1 { + 0 0.25 10.93 [8 6] newcylindre + {-90 0 0 rotateOpoint3d} solidtransform + dup (White) outputcolors + } def +/L2 { L1 {0 0 -109.5 rotateOpoint3d} solidtransform } def +/L3 { L2 {0 -120 0 rotateOpoint3d} solidtransform } def +/L4 { L2 {0 120 0 rotateOpoint3d} solidtransform } def +/L12 { L1 L2 solidfuz} def +/L123 { L12 L3 solidfuz} def +/Liaisons { L123 L4 solidfuz} def + Liaisons drawsolid**}} +\psPoint(0,10.93,0){H1} +\psPoint(10.3,-3.64,0){H2} +\psPoint(-5.15,-3.64,8.924){H3} +\psPoint(-5.15,-3.64,-8.924){H4} +\uput[0](H1){$\mathrm{H_1}$} +\uput[l](H2){$\mathrm{H_2}$} +\uput[u](H3){$\mathrm{H_3}$} +\uput[d](H4){$\mathrm{H_4}$} +\pcline[offset=0.25]{|-|}(H2)(H3) +\pcline[offset=0.25]{<->}(H2)(H3) +\aput{:U}{17,8 pm} +\pcline[offset=0.15]{|-|}(H2)(O) +\pcline[offset=0.15]{<->}(H2)(O) +\aput{:U}{10,93 pm} +\axesIIID(3,3,3)(14,16,14) +\pspolygon[linestyle=dashed,linecolor=red](H1)(H2)(H3) +\psline[linestyle=dashed,linecolor=red](H4)(H1) +\psline[linestyle=dashed,linecolor=red](H4)(H2) +\psline[linestyle=dashed,linecolor=red](H4)(H3) +\psline[linestyle=dotted,linecolor=red](H4)(O) +\psline[linestyle=dotted,linecolor=red](H3)(O) +\psline[linestyle=dotted,linecolor=red](H2)(O) +\psline[linestyle=dotted,linecolor=red](H1)(O) +\pstMarkAngle[arrows=<->]{H1}{O}{H3}{\small 109,5$^{\mathrm{o}}$} +\end{pspicture} +\hfill +\begin{pspicture}(-4,-4)(4,5) +\psset{lightsrc=50 50 10,lightintensity=1,viewpoint=100 50 20 rtp2xyz,Decran=30,RotY=-30} +{% +\psset{linewidth=0.5\pslinewidth} +\psframe(-4,-4)(4,5) +\codejps{ + /H1 {2 [18 16] newsphere + {-90 0 0 rotateOpoint3d} solidtransform + {0 10.93 0 translatepoint3d} solidtransform + dup (White) outputcolors} def + /L1 { + 0 0.25 10 [12 10] newcylindre + {-90 0 0 rotateOpoint3d} solidtransform + dup (White) outputcolors + } def +/HL1{ H1 L1 solidfuz} def +/HL2 { HL1 {0 0 -109.5 rotateOpoint3d} solidtransform } def +/HL3 { HL2 {0 -120 0 rotateOpoint3d} solidtransform } def +/HL4 { HL2 {0 120 0 rotateOpoint3d} solidtransform } def + /C {3 [18 16] newsphere + {90 0 0 rotateOpoint3d} solidtransform + dup (gris) outputcolors} def +/HL12 { HL1 HL2 solidfuz} def +/HL123 { HL12 HL3 solidfuz} def +/HL1234 { HL123 HL4 solidfuz} def +/methane { HL1234 C solidfuz} def + methane drawsolid**} +\psPoint(0,10.93,0){H1} +\psPoint(10.3,-3.64,0){H2} +\psPoint(-5.15,-3.64,8.924){H3} +\psPoint(-5.15,-3.64,-8.924){H4}}% +\axesIIID(3,3,3)(14,16,14) +\pspolygon[linestyle=dashed,linecolor=red](H1)(H2)(H3) +\psline[linestyle=dashed,linecolor=red](H4)(H1) +\psline[linestyle=dashed,linecolor=red](H4)(H2) +\psline[linestyle=dashed,linecolor=red](H4)(H3) +\psline[linestyle=dotted,linecolor=red](H4)(O) +\psline[linestyle=dotted,linecolor=red](H3)(O) +\psline[linestyle=dotted,linecolor=red](H2)(O) +\psline[linestyle=dotted,linecolor=red](H1)(O) +\end{pspicture} +\end{center} + +The construction of the molecule is detailed in the document +\texttt{molecules.tex}. To add a dimensioning you only need to find +the vertices of the tetrahedron: +\begin{verbatim} +\psPoint(0,10.93,0){H1} +\psPoint(10.3,-3.64,0){H2} +\psPoint(-5.15,-3.64,8.924){H3} +\psPoint(-5.15,-3.64,-8.924){H4} +\end{verbatim} +and then use the power of the package \texttt{pst-node}. For the distances: +\begin{verbatim} +\pcline[offset=0.25]{<->}(H2)(H3) +\aput{:U}{17,8 pm} +\pcline[offset=0.15]{<->}(H2)(O) +\aput{:U}{10,93 pm} +\psPoint(-5.15,-3.64,-8.924){H4} +\end{verbatim} +Then, for the angles, we take help from the package \texttt{pst-eucl} +\begin{verbatim} +\pstMarkAngle[arrows=<->]{H1}{O}{H3}{\small 109,5$^{\mathrm{o}}$} +\end{verbatim} + +\endinput + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-axes3D_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-axes3D_en_corr.tex new file mode 100644 index 00000000000..c850d6e9d3b --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-axes3D_en_corr.tex @@ -0,0 +1,43 @@ +\section{The axes in 3d} + +The command \verb+\axesIIID[options](x1,y1,z1)(x2,y2,z2)+ draws the axes $Ox$, +$Oy$ and $Oz$ dashed from the origin $O$ to the coordinates +$(x_1,0,0)$ for the $x$-axis, $(0,y_1,0)$ for the $y$-axis and +$(0,0,z_1)$ for the $z$-axis and from there continues drawing the axes as lines to the points $(x_2,0,0)$, $(0,y_2,0)$ and $(0,0,z_2)$. + +The options are the following: +\begin{itemize} + \item all color options, line width as well as all possibilities of arrows. + \item \verb+labelsep=value+ which allows to position the label in a self defined distance away from the extremity of the arrow of the axis, the default value is \verb+labelsep=5pt+---this is a real distance in three dimensions and not on screen. + \item the choice of the labels on each of the axes with the option: \verb+axisnames={a,b,c}+, the default values are \verb+axisnames={x,y,z}+. + \item the possibility to specify the style of the labels with the option: \verb+axisemph={\boldmath\Large\color{red}}+, by default there is no style predefined, which means, if no style is chosen one will get \verb+$x$,$y$,$z$+. + \item \verb+showOrigin+ is a Boolean, \texttt{true} by default, if it is set to \verb+showOrigin=false+ the dashed lines aren't drawn to the origin anymore. + \item \verb+mathLabel+ is a Boolean, \texttt{true} by default, in this case the math mode is activated, set to \verb+mathLabel=false+ the labels are set to the usual mode. +\end{itemize} +\encadre{The labels are placed at the extremities of the axes in their prolongation.} + +\begin{LTXexample}[width=5cm] +\begin{pspicture}(-2,-2)(3,3) +\psset{viewpoint=100 30 20,Decran=100} +\psSolid[object=cube,a=2, + action=draw*, + fillcolor=magenta!20] +\axesIIID[showOrigin=false](1,1,1)(3,2,2.5) +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[width=5cm] +\begin{pspicture}(-2,-1)(3,4) +\psset{viewpoint=100 45 20,Decran=100} +\psSolid[object=cylindre,h=2,r=1, + action=draw*,mode=4, + fillcolor=green!20] +\axesIIID[linewidth=1pt,linecolor=red,arrowsize=5pt, + arrowinset=0,axisnames={a,b,c}, + axisemph={\boldmath\Large\color{red}}, + labelsep=10pt] + (1,1,2)(2,2,3) +\end{pspicture} +\end{LTXexample} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-chanfrein_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-chanfrein_en_corr.tex new file mode 100644 index 00000000000..d324c29fbf6 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-chanfrein_en_corr.tex @@ -0,0 +1,53 @@ +\section{Chamfering a solid} + +\psset{lightsrc=10 0 10,viewpoint=50 -20 30 rtp2xyz,Decran=50} +\begin{LTXexample}[width=6cm] +\psset{unit=0.5} +\begin{pspicture*}(-4,-4)(4,4) +\psSolid[object=cube, + a=5, + fillcolor=red] +\end{pspicture*} +\end{LTXexample} + + +\begin{LTXexample}[width=6cm] +\psset{unit=0.5} +\begin{pspicture*}(-4,-4)(4,4) +\psSolid[object=cube, + a=5, + fillcolor=red, + chanfrein, + chanfreincoeff=.6] +\end{pspicture*} +\end{LTXexample} + +The option \verb+chanfrein+ allows us to chamfer a solid. This option +uses the key \verb+chanfreincoeff+ (value $0.8$ by default) which indicates the +ration $k$ with ($0<k<1$). This ratio is the one of a centre dilation with +the centre in the middle of the chosen face. + +\psset{lightsrc=10 0 10,viewpoint=50 -20 30 rtp2xyz,Decran=30} +\begin{LTXexample}[width=6cm] +\psset{unit=0.5} +\begin{pspicture*}(-4,-4)(4,4) +\psSolid[object=dodecahedron, + a=5, + fillcolor=cyan] +\end{pspicture*} +\end{LTXexample} + +\psset{lightsrc=10 0 10,viewpoint=50 -20 30 rtp2xyz,Decran=30} +\begin{LTXexample}[width=6cm] +\psset{unit=0.5} +\begin{pspicture*}(-4,-4)(4,4) +\psSolid[object=dodecahedron, + a=5, + fillcolor=cyan, + chanfrein, + chanfreincoeff=.8] +\end{pspicture*} +\end{LTXexample} +%\newpage + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-codejps_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-codejps_en_corr.tex new file mode 100644 index 00000000000..dc1d7a57b15 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-codejps_en_corr.tex @@ -0,0 +1,46 @@ +\section{The code jps} + +\textit{jps code} contains all the PostScript code that is used by the library +developed for the software \textit{jps2ps}. + +The \texttt{solides.pro} file of the \texttt{solides3d} package +contains all the elements native +to that library, which contains about $4\, 500$~functions and +procedures. + +It allows us to have available some adapted commands in mathematical form, without +having to construct them with the primitives + \verb+moveto+, \verb+lineto+, \verb+curveto+, etc. + +For example, one can define a function $F$ with $F(t) = +(3\cos^3 t, 3\sin^3 t)$, and draw its curve +%I'm not sure of the distinction between the curve and the path, as you use it +with the \textit{jps code} \verb+0 360 {F} CourbeR2+. + +If we only want to have the path of that curve, we use the code +\verb+0 360 {F} CourbeR2_+, +and if we want to add this to the stack of points of the curve, +we use \verb+0 360 {F} CourbeR2++. + +In all of the $3$~examples below, the number of points is declared by the global +variable \verb+resolution+. + +In other words, with the function $F$ named above and a fixed resolution of 36, the code jps +\begin{verbatim} + 0 360 {F} CourbeR2+ +\end{verbatim} +is equivalent to the PostScript code +\begin{verbatim} + 0 10 360 { + /angle exch def + 3 angle cos 3 exp mul + 3 angle sin 3 exp mul + } for +\end{verbatim} + +We haven't yet developed documentation for the library hidden in the +\texttt{solides.pro} file. For the moment we refer the +\textit{Guide de l'utilisateur de jps2ps} for the interested user +available at the website \url{melusine.eu.org/syracuse/bbgraf}. + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-colorierfacettes_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-colorierfacettes_en_corr.tex new file mode 100644 index 00000000000..479d4deb1e8 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-colorierfacettes_en_corr.tex @@ -0,0 +1,199 @@ +\section{Colouring some single faces} + +The key value \texttt{[fcol=}% + $i_0$~\verb+(+$c_0$\verb+)+~% + $i_1$~\verb+(+$c_1$\verb+)+~% + \dots + $i_n$~\verb+(+$c_n$\verb+)+~% + \texttt{]}, +where $i_k$ are integers and $c_k$ the names of the colours, permits to +specify a colour for special faces. +To the face with the index $i_k$ corresponds the colour $c_k$. The +integer $n$ must be lower than the maximum of the number of faces of the chosen solid. + + +%% L'option \texttt{[fcol=1 (OliveGreen) 0 (color1) 4 (color2) etc.]} +%% permet de sp\'{e}cifier dans l'ordre : +%% \begin{itemize} +%% \item le num\'{e}ro de la facette de \texttt{0} \`{a} \texttt{n-1}, pour \texttt{n} facettes ; +%% \item la couleur de la facette. +%% \end{itemize} + +The colour names $c_k$, there are $68$~predefined values, are defined names in the +\texttt{color.pro}. These values are: +\textsl{GreenYellow}, +\textsl{Yellow}, +\textsl{Goldenrod}, +\textsl{Dandelion}, +\textsl{Apricot}, +\textsl{Peach}, +\textsl{Melon}, +\textsl{YellowOrange}, +\textsl{Orange}, +\textsl{BurntOrange}, +\textsl{Bittersweet}, +\textsl{RedOrange}, +\textsl{Mahogany}, +\textsl{Maroon}, +\textsl{BrickRed}, +\textsl{Red}, +\textsl{OrangeRed}, +\textsl{RubineRed}, +\textsl{WildStrawberry}, +\textsl{Salmon}, +\textsl{CarnationPink}, +\textsl{Magenta}, +\textsl{VioletRed}, +\textsl{Rhodamine}, +\textsl{Mulberry}, +\textsl{RedViolet}, +\textsl{Fuchsia}, +\textsl{Lavender}, +\textsl{Thistle}, +\textsl{Orchid}, +\textsl{DarkOrchid}, +\textsl{Purple}, +\textsl{Plum}, +\textsl{Violet}, +\textsl{RoyalPurple}, +\textsl{BlueViolet}, +\textsl{Periwinkle}, +\textsl{CadetBlue}, +\textsl{CornflowerBlue}, +\textsl{MidnightBlue}, +\textsl{NavyBlue}, +\textsl{RoyalBlue}, +\textsl{Blue}, +\textsl{Cerulean}, +\textsl{Cyan}, +\textsl{ProcessBlue}, +\textsl{SkyBlue}, +\textsl{Turquoise}, +\textsl{TealBlue}, +\textsl{Aquamarine}, +\textsl{BlueGreen}, +\textsl{Emerald}, +\textsl{JungleGreen}, +\textsl{SeaGreen}, +\textsl{Green}, +\textsl{ForestGreen}, +\textsl{PineGreen}, +\textsl{LimeGreen}, +\textsl{YellowGreen}, +\textsl{SpringGreen}, +\textsl{OliveGreen}, +\textsl{RawSienna}, +\textsl{Sepia}, +\textsl{Brown}, +\textsl{Tan}, +\textsl{Gray}, +\textsl{Black}, +\textsl{White}. +The list of these $68$ colours is available in the command +\verb+\colorfaces+ (see an example in the section about +the grating of a cube). + +Thinking on that case, the number of the faces +$\mathtt{n_1\times n_2}+2\texttt{(outer faces inner faces)}$ +must be lower than 68! + +However users can define their own colours. There are two methods: + +\begin{itemize} +\item They can use one of the $4$~optional arguments \texttt{[color1]}, + \texttt{[color2]}, \texttt{[color3]}, \texttt{[color4]} from + \verb+\psSolid+, then transmit to \verb+fcol+ a pair of the type + $i$~\verb+(color1)+, where $i$ is the index of the chosen face. The + arguments \texttt{[color1]}, etc. are used in the same way as the + arguments from \texttt{color} and \texttt{incolor}.\hfill \break + A possible command could be the following: + \begin{verbatim} + \psSolid[a=1,object=cube,color1=red!60!yellow!20,fcol=0 (color1)]% + \end{verbatim} +\item They define their own colour names with the command + \verb+\pstVerb+, and then use these names with the argument + \verb+[fcol]+. For example: +\begin{verbatim} +\pstVerb{/hetre {0.764 0.6 0.204 setrgbcolor} def + /chene {0.568 0.427 0.086 setrgbcolor} def + /cheneclair {0.956 0.921 0.65 setrgbcolor} def + }% +\end{verbatim} +And therefore: +\begin{verbatim} +fcol=0 (hetre) 1 (chene) 2 (cheneclair) +\end{verbatim} +\end{itemize} + + +The $4$~arguments +\verb+color1+, +\verb+color2+, +\verb+color3+, +\verb+color4+ have default values: +\begin{itemize} + \item \textcolor{cyan!50}{color1=cyan!50} + \item \textcolor{magenta!60}{color2=magenta!60} + \item \textcolor{blue!30}{color3=blue!30} + \item \textcolor{red!50}{color4=red!50} +\end{itemize} + + + + +\begin{LTXexample}[width=5cm] +\psset{Decran=20,viewpoint=10 5 10,unit=0.5} +\begin{pspicture}(-5,-5)(5,5) +\psSolid[ + fcol=0 (Apricot) 1 (Aquamarine) 2 (Bittersweet) + 3 (ForestGreen) 4 (Goldenrod) + 13 (GreenYellow) + 40 (Mulberry), + object=cube,mode=3]% +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[width=4.9cm] +\psset{Decran=20,viewpoint=10 5 10,unit=0.5} +\begin{pspicture}(-5,-5)(5,5) +\psSolid[ + fcol=0 (Apricot) 2 (Lavender) 3 (SkyBlue) 11 (LimeGreen) 12 (OliveGreen), + object=cylindre, + h=4, + ngrid=4 10](0,0,-2) +\end{pspicture} +\end{LTXexample} + +The choice of the faces to be coloured can be specified with some PostScript code, +\begin{verbatim} +fcol=48 {i (Black) i 1 add (LimeGreen) i 2 add (Yellow) /i i 3 add store} repeat +\end{verbatim} +which will alternately colour the faces in black, green and yellow. +\begin{center} +\begin{LTXexample}[width=6.5cm] +\begin{pspicture}(-3,-3)(3.5,2.5) +\psset{Decran=7.5,viewpoint=10 10 5} +\pstVerb{/iface 0 store}% +\psSolid[ +fcol=48 {iface (Black) + iface 1 add (LimeGreen) + iface 2 add (Yellow) /iface + iface 3 add store} repeat, + r1=4,r0=1, + object=tore, + ngrid=8 18, + RotY=30] +\end{pspicture} +\end{LTXexample} +\end{center} + +When the option \verb+hue+ is activated, the faces of the solid are coloured with the nuance of the rainbow colours. + +\begin{LTXexample}[width=5.9cm] +\begin{pspicture}(-3,-2.5)(3,2.5) +\psset[pst-solides3d]{viewpoint=50 50 50,Decran=40,lightsrc=50 20 1e2} +\psSolid[r1=5,r0=1,object=tore,ngrid=16 18,hue=0 1]% +\end{pspicture} +\end{LTXexample} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-commandestrace_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-commandestrace_en_corr.tex new file mode 100644 index 00000000000..3cdc3c7c145 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-commandestrace_en_corr.tex @@ -0,0 +1,47 @@ +\section{Commands for drawing} +The parameter for drawing comes with the keyvalue \verb+action=+ within the command +\bs{psSolid}. + +Four values are possible: +\begin{itemize} +\item \verb+none+: nothing is drawn. +\item\verb+draw+: draws the solid as a framework and sets up dashed lines for the hidden edges. +\item\verb+draw*+: draws the solid with dashed lines for the hidden edges and colours the visible faces. +\item\verb+draw**+: draws the solid with a painting algorithm, without the + hidden edges and with coloration of the visible faces. +\end{itemize} +\encadre{The keyvalues \texttt{draw} and \texttt{draw*} only make sense for convex solids.} + +\begin{center} +%% + +\psset{viewpoint=50 -20 30 rtp2xyz} +%% +\hfil +\begin{pspicture}(-2.5,-2.5)(2.5,2.5) +\psframe(-2.5,-2.5)(2.5,2.5) +\psset{Decran=20} +\psSolid[object=cube,action=draw,RotZ=20]% +\rput(-1,-2){\texttt{draw}} +\end{pspicture} +\hfil +%% +\begin{pspicture}(-2.5,-2.5)(2.5,2.5) +\psframe(-2.5,-2.5)(2.5,2.5) +\psset{Decran=20} +\psSolid[object=cube,action=draw*,fillcolor=magenta!20,RotZ=20]% +\rput(-1,-2){\texttt{draw*}} +\end{pspicture} +\hfil +%% +\begin{pspicture}(-2.5,-2.5)(2.5,2.5) +\psframe(-2.5,-2.5)(2.5,2.5) +\psset{Decran=20} +\psSolid[object=cube,fillcolor=magenta!20,RotZ=20]% +\rput(-1,-2){\texttt{draw**}} +\end{pspicture} +\hfil +%% +\end{center} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-couleurs_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-couleurs_en_corr.tex new file mode 100644 index 00000000000..9fe555aa4f6 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-couleurs_en_corr.tex @@ -0,0 +1,497 @@ +\section{Colours and the nuances of a colour} + +The key value \verb+[fillcolor=name]+ allows to specify the wanted colour for the outer faces of a solid. +The key value \verb+[incolor=name]+ allows to specify the wanted colour for the inner faces of a solid. + +The possible values for \textit{name} are those known to PSTricks (and particularly those of the package \texttt{xcolor}). + +We can directly use the color nuances in the color schemes of +HSB, RGB or CMYK. In that case we use the key values \verb+[hue]+, +\verb+[inhue]+ or \verb+[inouthue]+ for the outer faces, the inner faces, or for all the faces. +The number of arguments \verb+hue+ determines nuances. + +\subsection{Predefined colorus by the option [\texttt{dvipsnames}]} + +There are $68$~predefined colours, which are identified by +\texttt{solides.pro}: \texttt{Black}, \texttt{White}, and the +$66$~colorus below. + +\bgroup\centering +\newcommand{\colorcube}[1]{% +\begin{pspicture}(-1.2,-1)(1.2,1) +\psframe(-1.2,-1)(1.2,1) +\psset{viewpoint=50 50 20 rtp2xyz,Decran=150,lightsrc=viewpoint} +\psSolid[object=datfile, + file=cubecolor, + linewidth=0.07\pslinewidth, + linecolor=#1!50, + fillcolor=#1, + action=draw**] +\rput(0,-0.75){\footnotesize \texttt{#1}} +\end{pspicture} +} + +\parindent0pt +%\parskip-8pt +\colorcube{GreenYellow} +\colorcube{Yellow} +\colorcube{Goldenrod} +\colorcube{Dandelion} +\colorcube{Apricot} +\colorcube{Peach} + +\colorcube{Melon} +\colorcube{YellowOrange} +\colorcube{Orange} +\colorcube{BurntOrange} +\colorcube{Bittersweet} +\colorcube{RedOrange} + +\colorcube{Mahogany} +\colorcube{Maroon} +\colorcube{BrickRed} +\colorcube{Red} +\colorcube{OrangeRed} +\colorcube{RubineRed} + +\colorcube{WildStrawberry} +\colorcube{Salmon} +\colorcube{CarnationPink} +\colorcube{Magenta} +\colorcube{VioletRed} +\colorcube{Rhodamine} + +\colorcube{Mulberry} +\colorcube{RedViolet} +\colorcube{Fuchsia} +\colorcube{Lavender} +\colorcube{Thistle} +\colorcube{Orchid} + +\colorcube{DarkOrchid} +\colorcube{Purple} +\colorcube{Plum} +\colorcube{Violet} +\colorcube{RoyalPurple} +\colorcube{BlueViolet} + +\colorcube{Periwinkle} +\colorcube{CadetBlue} +\colorcube{CornflowerBlue} +\colorcube{MidnightBlue} +\colorcube{NavyBlue} +\colorcube{RoyalBlue} + +\colorcube{Blue} +\colorcube{Cerulean} +\colorcube{Cyan} +\colorcube{ProcessBlue} +\colorcube{SkyBlue} +\colorcube{Turquoise} + +\colorcube{TealBlue} +\colorcube{Aquamarine} +\colorcube{BlueGreen} +\colorcube{Emerald} +\colorcube{JungleGreen} +\colorcube{SeaGreen} + +\colorcube{Green} +\colorcube{ForestGreen} +\colorcube{PineGreen} +\colorcube{LimeGreen} +\colorcube{YellowGreen} +\colorcube{SpringGreen} + +\colorcube{OliveGreen} +\colorcube{RawSienna} +\colorcube{Sepia} +\colorcube{Brown} +\colorcube{Tan} +\colorcube{Gray} + +\egroup + +\subsection {Predefined colours by the option [\texttt{svgnames}]} + +The following colours are known by PSTricks, when the option [\texttt{svgnames}] is given. +These ones are not identified by the file \texttt{solides.pro}: we can use them directly with the option \texttt{[fcol]}. + +\bgroup +\newcommand{\colorcone}[1]{% +\begin{pspicture}(-1.2,-1)(1.2,1) +\psframe(-1.2,-1)(1.2,1) +\psset{viewpoint=50 50 20 rtp2xyz,Decran=150,lightsrc=viewpoint} +\psSolid[object=cone, + linewidth=0.07\pslinewidth, +% linecolor=#1!50, + fillcolor=#1, + ngrid=4 12, + r=0.2,h=0.37, + action=draw**](0,0,-0.05) +\rput(0,-0.75){\footnotesize \texttt{#1}} +\end{pspicture} +} + + +\parindent0pt +%\parskip-8pt + +These colours are delivered from the package \texttt{xcolor}. +\bigskip + +{\centering +\colorcone{AliceBlue} +\colorcone{AntiqueWhite} +\colorcone{Aqua} +\colorcone{Aquamarine} +\colorcone{Azure} +\colorcone{Beige} + +\colorcone{Bisque} +\colorcone{Black} +\colorcone{BlanchedAlmond} +\colorcone{Blue} +\colorcone{BlueViolet} +\colorcone{Brown} + +\colorcone{BurlyWood} +\colorcone{CadetBlue} +\colorcone{Chartreuse} +\colorcone{Chocolate} +\colorcone{Coral} +\colorcone{CornflowerBlue} + +\colorcone{Cornsilk} +\colorcone{Crimson} +\colorcone{Cyan} +\colorcone{DarkBlue} +\colorcone{DarkCyan} +\colorcone{DarkGoldenrod} + +\colorcone{DarkGray} +\colorcone{DarkGreen} +\colorcone{DarkGrey} +\colorcone{DarkKhaki} +\colorcone{DarkMagenta} +\colorcone{DarkOliveGreen} + +\colorcone{DarkOrange} +\colorcone{DarkOrchid} +\colorcone{DarkRed} +\colorcone{DarkSalmon} +\colorcone{DarkSeaGreen} +\colorcone{DarkSlateBlue} + +\colorcone{DarkSlateGray} +\colorcone{DarkSlateGrey} +\colorcone{DarkTurquoise} +\colorcone{DarkViolet} +\colorcone{DeepPink} +\colorcone{DeepSkyBlue} + +\colorcone{DimGray} +\colorcone{DimGrey} +\colorcone{DodgerBlue} +\colorcone{FireBrick} +\colorcone{FloralWhite} +\colorcone{ForestGreen} + +\colorcone{Fuchsia} +\colorcone{Gainsboro} +\colorcone{GhostWhite} +\colorcone{Gold} +\colorcone{Goldenrod} +\colorcone{Gray} + +\colorcone{Grey} +\colorcone{Green} +\colorcone{GreenYellow} +\colorcone{Honeydew} +\colorcone{HotPink} +\colorcone{IndianRed} + +\colorcone{Indigo} +\colorcone{Ivory} +\colorcone{Khaki} +\colorcone{Lavender} +\colorcone{LavenderBlush} +\colorcone{LawnGreen} + +\colorcone{LemonChiffon} +\colorcone{LightBlue} +\colorcone{LightCoral} +\colorcone{LightCyan} +\colorcone{LightGoldenrodYellow} +\colorcone{LightGray} + +\colorcone{LightGreen} +\colorcone{LightGrey} +\colorcone{LightPink} +\colorcone{LightSalmon} +\colorcone{LightSeaGreen} +\colorcone{LightSkyBlue} + +\colorcone{LightSlateGray} +\colorcone{LightSlateGrey} +\colorcone{LightSteelBlue} +\colorcone{LightYellow} +\colorcone{Lime} +\colorcone{LimeGreen} + +\colorcone{Linen} +\colorcone{Magenta} +\colorcone{Maroon} +\colorcone{MediumAquamarine} +\colorcone{MediumBlue} +\colorcone{MediumOrchid} + +\colorcone{MediumPurple} +\colorcone{MediumSeaGreen} +\colorcone{MediumSlateBlue} +\colorcone{MediumSpringGreen} +\colorcone{MediumTurquoise} +\colorcone{MediumVioletRed} + +\colorcone{MidnightBlue} +\colorcone{MintCream} +\colorcone{MistyRose} +\colorcone{Moccasin} +\colorcone{NavajoWhite} +\colorcone{Navy} + +\colorcone{OldLace} +\colorcone{Olive} +\colorcone{OliveDrab} +\colorcone{Orange} +\colorcone{OrangeRed} +\colorcone{Orchid} + +\colorcone{PaleGoldenrod} +\colorcone{PaleGreen} +\colorcone{PaleTurquoise} +\colorcone{PaleVioletRed} +\colorcone{PapayaWhip} +\colorcone{PeachPuff} + +\colorcone{Peru} +\colorcone{Pink} +\colorcone{Plum} +\colorcone{PowderBlue} +\colorcone{Purple} +\colorcone{Red} + +\colorcone{RosyBrown} +\colorcone{RoyalBlue} +\colorcone{SaddleBrown} +\colorcone{Salmon} +\colorcone{SandyBrown} +\colorcone{SeaGreen} + +\colorcone{Seashell} +\colorcone{Sienna} +\colorcone{Silver} +\colorcone{SkyBlue} +\colorcone{SlateBlue} +\colorcone{SlateGray} + +\colorcone{SlateGrey} +\colorcone{Snow} +\colorcone{SpringGreen} +\colorcone{SteelBlue} +\colorcone{Tan} +\colorcone{Teal} + +\colorcone{Thistle} +\colorcone{Tomato} +\colorcone{Turquoise} +\colorcone{Violet} +\colorcone{Wheat} +\colorcone{White} + +\colorcone{WhiteSmoke} +\colorcone{Yellow} +\colorcone{YellowGreen} + +} +\egroup + +\subsection{Nuances in the colour scheme of HSB, saturation and maximum brilliance} + +There are 2 key values: \verb+[hue=+$h_0$ $h_1$\verb+]+ where +the numbers $h_0$ and $h_1$ with $0\leq h_0 < h_1 \leq 1$ +respect the limits of the colour scheme of HSB. + + + +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{LTXexample}[width=7.5cm] +\psset{unit=1} +\begin{pspicture}(-4,-1.5)(3,1) +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=0 1](0,0,0) +\end{pspicture} +\end{LTXexample} + + + +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{LTXexample}[width=7.5cm] +\psset{unit=1} +\begin{pspicture}(-4,-1.5)(3,1) +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=0 .3](0,0,0) +\end{pspicture} +\end{LTXexample} + + + +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{LTXexample}[width=7.5cm] +\psset{unit=1} +\begin{pspicture}(-4,-1.5)(3,1) +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=.5 .6](0,0,0) +\end{pspicture} +\end{LTXexample} + + +\subsection{Nuances in the color scheme of HSB, saturation and fixed brilliance} + +There are 4 key values: \verb+[hue=+$h_0$ $h_1$ $s$ $b$\verb+]+ or +the numbers $h_0$ and $h_1$ with $0\leq h_0 < h_1 \leq 1$ +respect the limits of the colour scheme HSB and $s$ +and $b$ are the values for \texttt{saturation} and \texttt{brillance}. + +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{LTXexample}[width=7.5cm] +\psset{unit=1} +\begin{pspicture}(-4,-1.5)(3,1) +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=0 1 .8 .7](0,0,0) +\end{pspicture} +\end{LTXexample} + + + + +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{LTXexample}[width=7.5cm] +\psset{unit=1} +\begin{pspicture}(-4,-1.5)(3,1) +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=0 1 .5 1](0,0,0) +\end{pspicture} +\end{LTXexample} + +\subsection{Nuances in the colour scheme of HSB, gneral case} + +There are 7 key values: \verb+[hue=+$h_0$ $s_0$ $b_0$ $h_1$ $s_1$ +$b_1$\verb+ (hsb)]+ or the numbers $h_i$, $s_i$ and $b_i$ respecting the limits of the parameters of HSB. + + + +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{LTXexample}[width=7.5cm] +\psset{unit=1} +\begin{pspicture}(-4,-1.5)(3,1) +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=0 .8 1 1 1 .7 (hsb)](0,0,0) +\end{pspicture} +\end{LTXexample} + +\subsection{Nuances in the colour scheme of RGB} + +There are 6 key values: \verb+[hue=+$r_0$ $g_0$ $b_0$ $r_1$ $g_1$ +$b_1$\verb+]+ or the numbers $r_i$, $g_i$ and $b_i$ respecting the limits of the $3$ parameters of RGB. + + + +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{LTXexample}[width=7.5cm] +\psset{unit=1} +\begin{pspicture}(-4,-1.5)(3,1) +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=1 0 0 0 0 1](0,0,0) +\end{pspicture} +\end{LTXexample} + + +\subsection{Nuances in the colour scheme of CMYK} + +There are 8 key values: \verb+[hue=+$c_0$ $m_0$ $y_0$ $k_0$ $c_1$ $m_1$ +$y_1$ $k_1$\verb+]+ or the numbers $c_i$, $m_i$, $y_i$ and $k_i$ respecting the limits of the $4$ parameters of CMYK. + + + +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{LTXexample}[width=7.5cm] +\psset{unit=1} +\begin{pspicture}(-4,-1.5)(3,1) +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=1 0 0 0 0 0 1 0](0,0,0) +\end{pspicture} +\end{LTXexample} + +\subsection{Nuances between 2 named colours} + +There are 2 key values +\verb+[hue=(color1) (color2)]+ where +\texttt{color1} and \texttt{color2} are the names of colours known by \verb+solides.pro+. + + + +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{LTXexample}[width=7.5cm] +\psset{unit=1} +\begin{pspicture}(-4,-1.5)(3,1) +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=(jaune) (CadetBlue)](0,0,0) +\end{pspicture} +\end{LTXexample} + +If one likes to use some defined colours of \texttt{xcolor}, one uses the +key values \texttt{color1}, \texttt{color2}, etc. from \bs{psSolid}. + +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{LTXexample}[width=7.5cm] +\psset{unit=1} +\begin{pspicture}(-4,-1.5)(3,1) +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + color1=red!50, + color2=green!20, + hue=(color1) (color2)](0,0,0) +\end{pspicture} +\end{LTXexample} + +\subsection{Deactivation of the colour application} +For specific purposes it is possible to disable the application of colour. +This is particularly the case, when an object is already memorized or defined in external files. + Within these configurations, if we do not deactivate the colours and + if we do not define some new colours, these will be the colours by default that overwrite the colours that were defined. + + +To deactivate the colour application one uses the option +\verb+[deactivatecolor]+. + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-courbeR3_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-courbeR3_en_corr.tex new file mode 100644 index 00000000000..3d00ef5ffed --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-courbeR3_en_corr.tex @@ -0,0 +1,99 @@ +\section[Lines of functions from R in R\textsuperscript{3}]% +{Lines of functions from $\mathbb{R}$ in $\mathbb{R}^3$} %$ + +%% \section{Fonctions R --> R\textsuperscript{3}} + +The line of a defined function calls the object \verb+courbe+ and the option \verb+function+. +One could 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} +\defFunction{CosRad}(t){t 2 mul Cos 4 mul}{t}{0} +\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} +\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 diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-cylindres-cones_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-cylindres-cones_en_corr.tex new file mode 100644 index 00000000000..a69745904ba --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-cylindres-cones_en_corr.tex @@ -0,0 +1,276 @@ +\section{Generalization of the notion of a cylinder and a cone} + +\subsection{Cylinder or cylindric area} + +This paragraph generalizes the notion of a cylinder, or a cylindric +area\footnote{This was written by +Maxime \textsc{Chupin}, as a result of a question on the list +\url{http://melusine.eu.org/cgi-bin/mailman/listinfo/syracuse}}. +A \textit{routing} curve has to be defined by a function and the +direction of the \textit{cylinder} axis needs to be arranged. In +the example below the routing curve is sinusoidal, situated in the plane $z=-2$: +\begin{verbatim} +\defFunction[algebraic]{G1}(t){t}{2*sin(t)}{-2} +\end{verbatim} +The direction of the cylinder is defined by the components of a vector +\verb+[axe=0 1 1]+. The drawing calls \verb+[object=cylindre]+ which +in addition to the usual parameters---which is the height \verb+[h=4]+--- +is about the \textbf{length of the generator} and not of the distance +between the two base planes, and needs to define the routing curve +\verb+[function=G1]+ and the interval of the variable $t$ \verb+[range=-3 3]+. + +\begin{verbatim} +\psSolid[object=cylindre, + h=4,function=G1, + range=-3 3, + ngrid=3 16, + axe=0 1 1, + incolor=green!50, + fillcolor=yellow!50] +\end{verbatim} + + +\begin{center} +\psset{unit=0.75} +\begin{pspicture}(-5,-4)(5,4) +\psset{lightsrc=viewpoint,viewpoint=100 10 20 rtp2xyz,Decran=100} +\psSolid[object=grille,base=-4 4 -6 6,linecolor={[rgb]{0.72 0.72 0.5}},action=draw](0,0,-2) +\defFunction[algebraic]{G1}(t){t}{2*sin(t)}{-2} +\defFunction[algebraic]{G2}(t){t}{2*sin(t)+4}{2} +\psSolid[object=courbe,function=G1, + range=-3 3,r=0, + linecolor=blue, + linewidth=2pt] +\psSolid[object=cylindre, + h=5.65685,function=G1, + range=-3 3, + ngrid=3 16, + axe=0 1 1, + incolor=green!50, + fillcolor=yellow!50] +\psSolid[object=courbe,function=G2, + range=-3 3,r=0, + linecolor=blue, + linewidth=2pt] +\psSolid[object=parallelepiped, + a=8,b=12,c=4,action=draw](0,0,0) +\psSolid[object=plan,action=draw, + definition=equation, + args={[0 0 1 -2] 90}, + base=-6 6 -4 4,planmarks,showBase] +\psSolid[object=plan,action=draw, + definition=equation, + args={[0 1 0 -6] 180}, + base=-4 4 -2 2,planmarks,showBase] +\psSolid[object=plan,action=draw, + definition=equation, + args={[1 0 0 -4] 90}, + base=-6 6 -2 2,planmarks,showBase] +\psSolid[object=vecteur, + linecolor=red, + args=0 3 3] +\end{pspicture} +\end{center} + +In the following example, before drawing the horizontal planes, we calculate the +distance between these two planes. + + \begin{verbatim} +\pstVerb{/ladistance 2 sqrt 2 mul def} + \end{verbatim} + +{\psset{unit=0.75,lightsrc=viewpoint,viewpoint=100 -10 20 rtp2xyz,Decran=100} +\begin{LTXexample}[pos=t] +\begin{pspicture}(-1.5,-3)(6.5,6) +\psSolid[object=grille,base=-3 3 -1 8,action=draw] +\pstVerb{/ladistance 2 sqrt 2 mul def} +\defFunction[algebraic]{G3}(t){6*(cos(t))^3*sin(t)}{4*(cos(t))^2}{0} +\defFunction[algebraic]{G4}(t){6*(cos(t))^3*sin(t)}{4*(cos(t))^2+ladistance}{ladistance} +\psSolid[object=courbe,function=G3,range=0 6.28,r=0,linecolor=blue,linewidth=2pt] +\psSolid[object=cylindre,range=0 -6.28,h=4,function=G3,axe=0 1 1,ngrid=3 36, + fillcolor=green!50,incolor=yellow!50] +\psSolid[object=courbe,function=G4,range=0 6.28,r=0,linecolor=blue,linewidth=2pt] +\psSolid[object=vecteur,linecolor=red,args=0 ladistance dup] +\psSolid[object=plan,action=draw,definition=equation,args={[0 0 1 ladistance neg] 90}, + base=-1 8 -3 3,planmarks,showBase] +\axesIIID(0,4.5,0)(4,8,5) +\rput(0,-3){\texttt{axe=0 1 1}} +\end{pspicture} +\end{LTXexample}} + + +\begin{LTXexample}[width=8cm] +\psset{unit=0.75,lightsrc=viewpoint, + viewpoint=100 -10 20 rtp2xyz,Decran=100} +\begin{pspicture}(-1.5,-3)(6.5,6) +\psSolid[object=grille,base=-3 3 -1 6,action=draw] +\defFunction[algebraic]{G5}(t) + {t}{0.5*t^2}{0} +\defFunction[algebraic]{G6}(t) + {t}{0.5*t^2}{4} +\psSolid[object=courbe,function=G5, + range=-3 2,r=0,linecolor=blue, + linewidth=2pt] +\psSolid[object=cylindre, + range=-3 2,h=4, + function=G5, + axe=0 0 1, %% valeur par d\'{e}faut + incolor=green!50, + fillcolor=yellow!50, + ngrid=3 8] +\psSolid[object=courbe,function=G6, + range=-3 2,r=0,linecolor=blue, + linewidth=2pt] +\axesIIID(0,4.5,0)(4,6,5) +\psSolid[object=vecteur, + linecolor=red,args=0 0 4] +\psSolid[object=plan,action=draw, + definition=equation, + args={[0 0 1 -4] 90}, + base=-1 6 -3 3,planmarks,showBase] +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[width=8cm] +\psset{unit=0.75,lightsrc=viewpoint, + viewpoint=100 -10 20 rtp2xyz,Decran=100} +\begin{pspicture}(-3.5,-3)(6.5,6) +\psset{lightsrc=viewpoint,viewpoint=100 45 45,Decran=100} +\psSolid[object=grille,base=-3 3 -2 7,fillcolor=gray!30] +\defFunction[algebraic]{G7}(t) + {2*cos(t)}{2*sin(t)}{0} +\defFunction[algebraic]{G8}(t) + {2*cos(t)}{2*sin(t)+4}{4} +\psSolid[object=courbe,function=G7, + range=0 6.28,r=0, + linecolor=blue,linewidth=2pt] +\psSolid[object=cylindre, + range=0 6.28,h=5.65685, + function=G7,axe=0 1 1, + incolor=green!20, + fillcolor=yellow!50, + ngrid=3 36] +\psSolid[object=courbe,function=G8, + range=0 6.28,r=0,linecolor=blue, + linewidth=2pt] +\axesIIID(2,4.5,2)(4,8,5) +\psSolid[object=vecteur, + linecolor=red,args=0 1 1](0,4,4) +\psSolid[object=plan,action=draw, + definition=equation, + args={[0 0 1 -4] 90}, + base=-2 7 -3 3,planmarks,showBase] +\end{pspicture} +\end{LTXexample} + + +\encadre{The routing curve can be any curve and need not necessarily be a plane horizontal.} + +\begin{LTXexample}[width=8cm] +\begin{pspicture}(-3.5,-2)(4,5) +\psset{unit=0.75,lightsrc=viewpoint,viewpoint=100 -5 10 rtp2xyz,Decran=100} +\psSolid[object=grille,base=-4 4 -4 4,ngrid=8. 8.](0,0,-1) +\defFunction[algebraic]{G9}(t) + {3*cos(t)}{3*sin(t)}{1*cos(5*t)} +\psSolid[object=cylindre, + range=0 6.28,h=5,function=G9, + axe=0 0 1,incolor=green!50, + fillcolor=yellow!50, + ngrid=4 72,grid] +\end{pspicture} +\end{LTXexample} + +\subsection{Cone or conic area} +This paragraph generalizes the notion of a cone, or a conic +area\footnote{This was written by +Maxime \textsc{Chupin}, as the result of a question on the list +\url{http://melusine.eu.org/cgi-bin/mailman/listinfo/syracuse}}. +A \textit{routing} curve needs to be defined by a function which +defines the base of the cone, and the vertex of the \textit{cone} +which is by default \verb+[origine=0 0 0]+. The parts above and +below the cone are symmetric concerning the vertice. In the example +below, the routing curve is a parabolic arc, situated in the plane $z=-2$. + +\begin{LTXexample}[width=7.5cm] +\begin{pspicture}(-3,-4)(4.5,6) +\psset{unit=0.75,lightsrc=viewpoint,viewpoint=100 10 10 rtp2xyz,Decran=100} +\psSolid[object=grille,base=-4 4 -3 3,action=draw](0,0,-2) +\defFunction[algebraic]{G1}(t){t}{0.25*t^2}{-2} +\defFunction[algebraic]{G2}(t){-t}{-0.25*t^2}{2} +\psSolid[object=courbe,function=G1, + range=-3.46 3,r=0, + linecolor=blue,linewidth=2pt] +\psSolid[object=cone,function=G1, + range=-3.46 3,ngrid=3 16, + incolor=green!50, + fillcolor=yellow!50, + origine=0 0 0] +\psSolid[object=courbe, + function=G2,range=-3.46 3, + r=0,linecolor=blue, + linewidth=2pt] +\psPoint(0,0,0){I} +\uput[l](I){\red$(0,0,0)$} +\psdot[linecolor=red](I) +\gridIIID[Zmin=-2,Zmax=2,spotX=r](-4,4)(-3,3) +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[width=7.5cm] +\begin{pspicture}(-3,-4)(4.5,6) +\psset{unit=0.7,lightsrc=viewpoint,viewpoint=100 -10 20 rtp2xyz,Decran=100} +\psSolid[object=grille,base=-4 4 -3 3, + linecolor={[rgb]{0.72 0.72 0.5}},action=draw](0,0,-2) +\defFunction[algebraic]{G1}(t){t}{2*sin(t)}{-2} +\defFunction[algebraic]{G2}(t){-t}{-2*sin(t)}{2} +\psSolid[object=courbe,function=G1, + range=-3.14 3.14,r=0, + linecolor=blue, + linewidth=2pt] +\psSolid[object=cone,function=G1, + range=-3.14 3.14,ngrid=3 16, + incolor=green!50, + fillcolor=yellow!50, + origine=0 0 0] +\psSolid[object=courbe, + function=G2,range=-3.14 3.14, + r=0,linecolor=blue, + linewidth=2pt] +\psPoint(0,0,0){I} \uput[l](I){\red$(0,0,0)$} +\psdot[linecolor=red](I) +\gridIIID[Zmin=-2,Zmax=2,spotX=r](-4,4)(-3,3) +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[width=7.5cm] +\begin{pspicture}(-3,-4)(4.5,6) +\psset{unit=0.7,lightsrc=viewpoint,viewpoint=100 -10 20 rtp2xyz,Decran=100} +\psSolid[object=grille,base=-4 4 -4 4,linecolor={[rgb]{0.72 0.72 0.5}},action=draw](0,0,-2) +\defFunction[algebraic]{G1}(t){t}{2*sin(t)}{-2} +\defFunction[algebraic]{G2}(t){-t}{-2*sin(t)-2}{2} +\psSolid[object=courbe,function=G1, + range=-3.14 3.14,r=0, + linecolor=blue, + linewidth=2pt] +\psSolid[object=cone, + function=G1,range=-3.14 3.14, + ngrid=3 16,incolor=green!50, + fillcolor=yellow!50, + origine=0 -1 0] +\psSolid[object=courbe, + function=G2,range=-3.14 3.14, + r=0,linecolor=blue, + linewidth=2pt] +\psPoint(0,-1,0){I}\uput[l](I){\red$(0,-1,0)$} +\psdot[linecolor=red](I) +\gridIIID[Zmin=-2,Zmax=2,spotX=r](-4,4)(-4,4) +\end{pspicture} +\end{LTXexample} + +\encadre{For the cones as well, the routing curve can be any curve and need not necessarily +be a plane horizontal curve, as the following example, written by Maxime +\textsc{Chupin}, will show.} + +\centerline{\url{http://melusine.eu.org/lab/bpst/pst-solides3d/cone/cone-dir_02.pst}} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-datfile_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-datfile_en_corr.tex new file mode 100644 index 00000000000..6d865d979b4 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-datfile_en_corr.tex @@ -0,0 +1,162 @@ +\section{Using the data file types \texttt{.obj} and \texttt{.off}} + +Sometimes it will helpful to use external files, either for reading or writing. +When there is a solid which needs a long time to be calculated and which +will be tested in different views or different colors, it is very +interesting to save them externally and then only reread them by +avoiding the time expensive recalculations. In particular, this technique +is often used to generate some animations. +One can also export a solid by that method to reuse with another software. + +For \texttt{pst-solides3d}, all the procedures of reading$/$writing are +delegated to the PostScript interpreter (and not to \TeX {} or \LaTeX). + Consequently it is not the \LaTeX{} compilation that will cause the + execution of reading$/$writing, but the visualisation of the PostScript + file that is produced. + +Generally the reading of external files by a PostScript interpreter doesn't +cause any trouble normally. The writing of files however, can cause some +security problems and it is often the case that the PostScript viewer forbids +the writing by default. So the system must be configured to get authorisation for that writing. + +\encadre{By default, under Windows and Linux, the security of files on the +hard drive is activated and doesn't allow to write on the drive. +To deactivate that security option, more or less temporarily, here the two +corresponding procedures: + +\begin{description} + + \item[Linux:] The advice from Jean-Michel \textsc{Sarlat}: the simplest will + be to use GhostScript directly, within the console. As there is no image to wait for: + +\$$>$ gs -dNOSAFER monfichier.ps quit.ps + \item[Windows:] Within the menue \texttt{Options}, the option + \textsf{Security of files} must be turned to unchecked. +\end{description}} + + +\subsection{\texttt{.dat} files (specific to \texttt{pst-solides3d})} + +In \texttt{pst-solides3d}, the data structure used for a solid has 4 fields. +It can be stored in a set of $4$ +\texttt{.dat} files. + + +\subsubsection{Writing \texttt{.dat} files} + +One uses the action \verb+writesolid+ within \bs{psSolid}, and one +uses the option \verb+file+ to specify the name of the file. + +For example, let's look at the code below: +\begin{verbatim} +\psSolid[object=tore, + file=montore, + action=writesolid] +\end{verbatim} + +The command chain +\Cadre{LaTeX->dvips->GSview (Windows) or gv (Linux)} +first compiles, then transforms into PostScript to finally get +visualised. + +That last operation creates 4 files: +\begin{itemize} + \item \texttt{montore-sommets.dat } $\rightarrow$ the list of the vertices; + \item \texttt{montore-faces.dat } $\rightarrow$ the list of the faces; + \item \texttt{montore-couleurs.dat } $\rightarrow$ the colors of the faces; + \item \texttt{montore-io.dat } $\rightarrow$ the limits of the indices + of the external and internal faces. +\end{itemize} +\encadre{All these four files will automatically be saved within the same folder as the generating file.} + +\subsubsection{Reading \texttt{.dat} files} + +One uses the object \verb+datfile+ of \bs{psSolid}, with the argument +\verb+file+ to specify the name. +Now the code +\begin{verbatim} +\psSolid[object=datfile, file=montore] +\end{verbatim} +will allow to use the object---now saved in the \texttt{.dat} files generated--- +as described in the previous paragraph. + +\subsection{\texttt{.obj} files} + +We use only a simplified form of the \texttt{.obj} format. In particular, the +files should not contain a character like +\verb+#+ (the character for a comment in that format). + +This format just uses a single file and permits within this file to specify +the vertices and the faces. + +\subsubsection{Writing \texttt{.obj} files} + +One uses the action \verb+writeobj+ in \bs{psSolid}, and one uses +the option \verb+file+ to specify the name of the file. + +For example, the code below: +\begin{verbatim} +\psSolid[object=tore, + file=montore, + action=writeobj] +\end{verbatim} +will produce a single file \texttt{montore.obj} (after compilation and +visualisation of the \texttt{.ps} that was produced). + +\subsubsection{Reading \texttt{.obj} files} + +One uses the option \verb+objfile+ of \bs{psSolid}, with the argument +\verb+file+ to specify the name of the file. +Now the following code +\begin{verbatim} +\psSolid[object=objfile, file=montore] +\end{verbatim} +will allow to use the object---now saved in the \texttt{.obj} file generated---as +described in the previous paragraph. + +\begin{LTXexample}[width=6cm] +\psset{viewpoint=20 15 10 rtp2xyz,Decran=20} +\begin{pspicture}(-3,-4)(3,3) +\psframe*[linecolor=cyan!50](-3,-4)(1,3) +\psSolid[object=objfile, + unit=20,RotX=60, + file=rocket]% +\end{pspicture} +\end{LTXexample} + + + +\subsection{\texttt{.off} files} + +We use only a simplified form of the \texttt{.off} format. In particular, these +files only comprise \verb+v+ and \verb+f+ entries. + +This format just uses a single file and permits within this file to specify the +vertices and the faces. + +\subsubsection{Writing \texttt{.off} files} + +One uses the action \verb+writeobj+ in \bs{psSolid}, and one uses the option + \verb+file+ to specify the name of the file. + +For example the code below: +\begin{verbatim} +\psSolid[object=tore, + file=montore, + action=writeoff] +\end{verbatim} +will produce the \texttt{montore.off} file (after compilation and +visualisation of the \texttt{.ps} that was produced). + +\subsubsection{Reading.off files} + +One uses the option \verb+offfile+ of \bs{psSolid}, with the argument +\verb+file+ to specify the name of the file. +Now the following code +\begin{verbatim} +\psSolid[object=offfile, file=montore] +\end{verbatim} +will allow to use the object---now saved in the \texttt{.off} file +generated---like described in the previous paragraph. + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-definirfonction_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-definirfonction_en_corr.tex new file mode 100644 index 00000000000..b818a129180 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-definirfonction_en_corr.tex @@ -0,0 +1,61 @@ +\section{Defining a function} + +It is possible to define functions usable in a PostScript environment. + +The domain can be $\mathbb{R}$, $\mathbb{R}^2$ +or $\mathbb{R}^3$, and the codomain can be $\mathbb{R}$, $\mathbb{R}^2$ or $\mathbb{R}^3$. + +The definition is made with the macro \verb+\defFunction+. This macro comes with six +arguments, where the first is optional. + + +\verb!\defFunction[<options>]{<name>}(<var>){<x(var)>}{<y(var)>}{<z(var)>}! + +\begin{table}[h] +\begin{tabular}{p{2cm}p{11cm}} +\verb!<options>! & We insert the options typical to PSTricks, like +\verb!linewidth! etc., and, some of them defined by +\verb!pst-solides3d!. A very nice and helpful option is \verb!algebraic!, +with which one can avoid RPN (Reverse Polish +Notation). All the options are key value pairs separated with commas.\\ + +\verb!<name>! & This is a unique name of your choice -- but be careful to avoid +names that contain accents: PostScript doesn't like them at all.\\ + +\verb!<var>! & We insert at most three variables, arbitrarily chosen and separated with commas.\\ + +\verb!<x(var)>! \verb!<y(var)>! \verb!<z(var)>! & +Here, one places functions defining the three Euclidean components $x,\,y,\,z$. +If one of the three components is not wanted, just enter a 0 within + parentheses -- this will also allow you to define some projections of the lines of functions. +\end{tabular} +\end{table} + +Once you have defined a function, this function is always called by its chosen name \verb!<name>!. + +Here some examples: +\begin{itemize} +\item \verb!\defFunction{moncercle}(t){t cos 3 mul}{0}{t sin 3 mul}! + + draws a circle with radis 3 in the $xOz$ plane (notation RPN). + \item \verb!\defFunction[algebraic]{helice}(t){cos(t)}{sin(t)}{t}! + + draws a helix in algebraic notation. + \item \verb!\defFunction[algebraic]{F}(t){t}{}{}! + + draws a function from $\mathbb{R}$ in $\mathbb{R}$ + \item \verb!\defFunction[algebraic]{F}(t){t}{t}{}! + + draws a function from $\mathbb{R}$ in $\mathbb{R}^2$ + \item \verb!\defFunction[algebraic]{F}(t){t}{t}{t}! + + draws a function from $\mathbb{R}$ in $\mathbb{R}^3$ + +\end{itemize} + +There remains work to be done on this macro. For the moment it does not permit an arbitrary +choice of names of variables, as this risks conflict with existing names. Please use +names analogous to those used in the documentation. A good strategy is to systematically use +one or more numerical characters at the end of the names of your variables. + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-definirplanquelconque_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-definirplanquelconque_en_corr.tex new file mode 100644 index 00000000000..33bb717cd33 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-definirplanquelconque_en_corr.tex @@ -0,0 +1,631 @@ +\section{Defining a projection plane} + +The plane of projection is defined with the option +\texttt{[plan=plantype]} which expects an argument \textit{type of +plane}. The creation of such an argument invariably happens +through the command \verb+\psSolid[object=plan]+ (see the relevant +paragraph of chapter 4 and the example below in sub-paragraph +\textit{Labels\/} of the paragraph \textit{Points}). +\endinput + +\section{Specifying a general projection plane} + +To define a plane of projection, we assume that the drawing to be +projected resides on the plane $Oxy$, and the user has to specify +the images of the origin $O$ and the basis $\overrightarrow{\imath}$, +$\overrightarrow{\jmath}$, and $\overrightarrow{k}$. +If they wish to abbreviate the syntax, users are required at most +to specify the image of $O$ and the image of $\overrightarrow{k}$, +in other words the image of the origin and the components of the +normal to the plane of projection. + +The package then suggests an orientation of the plane of +projection. If users are not happy with this orientation, they can +specify it themselves. + +The following paragraphs detail the proposed syntax. + + +\subsection{The origin} + +\texttt{(x,y,z)} are the projected coordinates of the origin of +the plane, which are either numerical values or expressions that +PostScript can handle. + + +\texttt{\textbackslash psProjection[\ldots](1,2,3)} positions the +origin of the plane at the coordinates $(1,2,3)$. + + +\texttt{\textbackslash psProjection[\ldots](0.5 0.5 add,2 sqrt,1.5 2 +exp)} positions the origin of the plane at the coordinates +$(1,\sqrt{2},1.5^2)$. + + +If no coordinates are chosen (by the end of the command), it is +interpreted as $(0,0,0)$, placing the origin at $O$. + + +\subsection{Defining the normal to a plane} + +There are four ways to define a normal to a plane, two of which +have an option to rotate the coordinate system of the plane around +that normal: \texttt{|normal=...]} + +\subsubsection{Method 1: giving the components of the normal vector} + + +In this case \texttt{[normal=nx ny nz]}, the argument consists of +3 values: the components of the normal vector. For example +\texttt{[normal=0 0 1]} for the plane $Oxy$. + +\newpage + +\begin{LTXexample}[width=6.5cm] +\psset{unit=0.5} +\begin{pspicture}(-9,-6.5)(6,6) +\psframe*[linecolor=blue!50](-6,-6)(6,6) +\psset{lightsrc=10 -20 50,viewpoint=50 20 30 rtp2xyz,Decran=50} +{\psset{linewidth=0.5\pslinewidth,linecolor=gray} +\psSolid[object=grille,base=-4 4 -4 4]} +\defFunction[algebraic]{f1}(x){3*cos(x)}{3*sin(x)}{} +\psProjection[object=courbeR2, + range=-3.14 3.14, + linecolor=blue, + normal=0 0 1, + function=f1] +\axesIIID(0,0,0)(4,4,4) +\psProjection[object=chemin, + linewidth=.1, + linecolor=red, + normal=1 0 0, + path=newpath + 0 0 smoveto + -1 0 slineto] +\rput(0,-6.75){% + \psframebox[linecolor=blue!50] + {\texttt{$\backslash${}defFunction[algebraic]% + \{f\}(x)\{3*cos(x)\}\{3*sin(x)\}\{\}}}} +\end{pspicture} +\end{LTXexample} + +\newpage +If we call +$\big(\overrightarrow{i}(1,0,0),\overrightarrow{j}(0,1,0),\overrightarrow{k}(0,0,1)\big)$ +the basis of the referencing coordinate system and if +$\big(\overrightarrow{I},\overrightarrow{J},\overrightarrow{K}\big)$ +is the basis of the coordinate system of the plane to be defined, +with $\overrightarrow{K}$ being the chosen normal vector, then the +following relations are verified and should be kept in mind: +\begin{enumerate} + \item $\overrightarrow{J}=\overrightarrow{K}\wedge \overrightarrow{i}$ + \item $\overrightarrow{I}=\overrightarrow{J}\wedge \overrightarrow{K}$ +\end{enumerate} +If $\overrightarrow{K}=\overrightarrow{i}$ then +$\overrightarrow{J}=\overrightarrow{j}$ + +\encadre{With the convention: $\overrightarrow{K}$ is drawn in + red, $\overrightarrow{J}$ in blue and $\overrightarrow{I}$ in green.} %$ + +\vfill +\begin{minipage}{0.27\linewidth} +\psset{unit=0.4} +\centerline{\texttt{[normal=0 0 1]}} + +\begin{pspicture}(-6,-6)(4,7)% +\psframe*[linecolor=blue!50](-6,-6)(6,6) +\psset{lightsrc=10 -20 50,viewpoint=50 20 30 rtp2xyz,Decran=60} +{\psset{linewidth=0.5\pslinewidth,linecolor=gray} +\psSolid[object=grille,base=-4 4 -4 4]} +\axesIIID(0,0,0)(4,4,4) +\psProjection[object=chemin, + linewidth=.2, + linecolor=red, + normal=1 0 0, + path=newpath + 0 0 smoveto + -1 0 slineto] +\psProjection[object=chemin, + linewidth=.2, + linecolor=blue, + normal=0 0 1, + path=newpath + 0 0 smoveto + 0 1 slineto] +\psProjection[object=chemin, + linewidth=.2, + linecolor=green, + normal=0 0 1, + path=newpath + 0 0 smoveto + 1 0 slineto] +\end{pspicture} +\end{minipage} +\hfill +\begin{minipage}{0.27\linewidth} +\psset{unit=0.4} +\centerline{\texttt{[normal=1 0 0]}} + +\begin{pspicture}(-6,-6)(4,7) +\psframe*[linecolor=blue!50](-6,-6)(6,6) +\psset{lightsrc=50 20 30,viewpoint=50 20 30,Decran=70} +{\psset{linewidth=0.5\pslinewidth,linecolor=gray} +\psSolid[object=grille,base=-4 4 -4 4,RotY=90]} +\axesIIID(0,0,0)(4,4,4) +\psProjection[object=chemin, + linewidth=.2, + linecolor=green, + normal=1 0 0, + path=newpath + 0 0 smoveto + 1 0 slineto] +\psProjection[object=chemin, + linewidth=.2, + linecolor=blue, + normal=1 0 0, + path=newpath + 0 0 smoveto + 0 1 slineto] +\psProjection[object=chemin, + linewidth=.2, + linecolor=red, + normal=0 0 1, + path=newpath + 0 0 smoveto + 1 0 slineto] +\end{pspicture} +\end{minipage} +\hfill +\begin{minipage}{0.27\linewidth} +\psset{unit=0.4} + +\centerline{\texttt{[normal=0 1 0]}} + +\begin{pspicture}(-6,-6)(4,7) +\psframe*[linecolor=blue!50](-6,-6)(6,6) +\psset{lightsrc=50 60 30,viewpoint=50 60 30,Decran=70} +{\psset{linewidth=0.5\pslinewidth,linecolor=gray} +\psSolid[object=grille,base=-4 4 -4 4,RotX=-90]} +\axesIIID(0,0,0)(4,4,4) +\psProjection[object=chemin, + linewidth=.2, + linecolor=green, + normal=0 1 0, + path= + newpath + 0 0 smoveto + 1 0 slineto] +\psProjection[object=chemin, + linewidth=.2, + linecolor=blue, + normal=0 1 0, + path= + newpath + 0 0 smoveto + 0 1 slineto] +\psProjection[object=chemin, + linewidth=.2, + linecolor=red, + normal=0 0 1, + path= + newpath + 0 0 smoveto + 0 1 slineto] +\end{pspicture} +\end{minipage} + +\vfill + +\begin{minipage}{0.27\linewidth} +\psset{unit=0.4} +\centerline{\texttt{[normal=1 0 1]}} + +\begin{pspicture}(-6,-6)(4,7)% +\psframe*[linecolor=blue!50](-6,-6)(6,6) +\psset{lightsrc=50 20 20,viewpoint=50 20 20,Decran=70} +{\psset{linewidth=0.5\pslinewidth,linecolor=gray} +\psSolid[object=grille,base=-4 4 -4 4] +\psSolid[object=grille,base=-4 0 -4 4,RotY=90] +\psSolid[object=grille,base=-2 2 -4 4,RotY=45,linecolor=red](1.414,0,1.414)} +\psPoint(2,0,2){O1}%\psdot(O1) +\axesIIID(2.8,3,2.8)(4,4,4) +\psPoint(1.414,0,1.414){O1}\psPoint(2.414,0,2.414){OK} +\psline[linewidth=.2,linecolor=red](O1)(OK) +\psProjection[object=chemin, + linewidth=.2, + linecolor=blue, + normal=1 0 1, + path= + newpath + 0 0 smoveto + 0 1 slineto](1.414,0,1.414) +\psProjection[object=chemin, + linewidth=.2, + linecolor=green, + normal=1 0 1, + path= + newpath + 0 0 smoveto + 1 0 slineto](1.414,0,1.414) +\end{pspicture} +\end{minipage} +\hfill +\begin{minipage}{0.27\linewidth} +\psset{unit=0.4} +\centerline{\texttt{[normal=0 1 1]}} + +\begin{pspicture}(-6,-6)(4,7)% +\psframe*[linecolor=blue!50](-6,-6)(6,6) +\psset{lightsrc=30 20 20,viewpoint=30 20 20,Decran=45} +{\psset{linewidth=0.5\pslinewidth,linecolor=gray} +\psSolid[object=grille,base=-4 4 -4 4] +\psSolid[object=grille,base=-4 0 -4 4,RotY=90,RotZ=90] +\psSolid[object=grille,base=-4 4 -2 2,RotX=-45,linecolor=red](0,1.414,1.414)} +\axesIIID(2.8,3,2.8)(4,4,4) +\psPoint(0,1.414,1.414){O1}\psPoint(0,2.414,2.414){OK} +\psline[linewidth=.2,linecolor=red](O1)(OK) +\psProjection[object=chemin, + linewidth=.2, + linecolor=blue, + normal=0 1 1, + path= + newpath + 0 0 smoveto + 0 1 slineto](0,1.414,1.414) +\psProjection[object=chemin, + linewidth=.2, + linecolor=green, + normal=0 1 1, + path= + newpath + 0 0 smoveto + 1 0 slineto](0,1.414,1.414) +\end{pspicture} +\end{minipage} +\hfill +\begin{minipage}{0.27\linewidth} +\psset{unit=0.4} +\centerline{\texttt{[normal=1 1 0]}} + +\begin{pspicture}(-6,-6)(4,7)% +\psframe*[linecolor=blue!50](-6,-6)(6,6) +\psset{lightsrc=30 20 20,viewpoint=30 20 20,Decran=45} +{\psset{linewidth=0.5\pslinewidth,linecolor=gray} +\psSolid[object=grille,base=0 2 -4 4,RotY=90,RotZ=45,linecolor=red] + (1.414,1.414,0) +\psSolid[object=grille,base=-4 4 -4 4] +\psSolid[object=grille,base= -2 0 -4 4,RotY=90,RotZ=45,linecolor=red] + (1.414,1.414,0)} +\axesIIID(2.8,2.8,1)(4,4,4) +\psPoint(1.414,1.414,0){O1}\psPoint(2.414,2.414,0){OK} +\psline[linewidth=.2,linecolor=red](O1)(OK) +\psProjection[object=chemin, + linewidth=.2, + linecolor=blue, + normal=1 1 0, + path= + newpath + 0 0 smoveto + 0 1 slineto](1.414,1.414,0) +\psProjection[object=chemin, + linewidth=.2, + linecolor=green, + normal=1 1 0, + path= + newpath + 0 0 smoveto + 1 0 slineto](1.414,1.414,0) +\end{pspicture} +\end{minipage} + +\vfill + +\newpage + +\subsubsection{Method 2: giving the components of the normal vector and an angle +of rotation} + +In this case \texttt{[normal=nx ny nz A]}, the argument takes four +values: the components of the normal vector and the angle of +rotation (in degrees) around that axis. + +\begin{center} +\begin{minipage}{0.34\linewidth} +\psset{unit=0.5} +\centerline{\texttt{[normal=1 0 1]}} + +\begin{pspicture}(-6,-6)(6,7)% +\psframe*[linecolor=blue!50](-6,-6)(6,6) +\psset{lightsrc=50 20 20,viewpoint=50 20 20,Decran=70} +{\psset{linewidth=0.5\pslinewidth,linecolor=gray} +\psSolid[object=grille,base=-4 4 -4 4] +\psSolid[object=grille,base=-4 0 -4 4,RotY=90] +\psSolid[object=grille,base=-2 2 -4 4,RotY=45,linecolor=red](1.414,0,1.414)} +\psPoint(2,0,2){O1}%\psdot(O1) +\axesIIID(2.8,3,2.8)(4,4,4) +\psPoint(1.414,0,1.414){O1}\psPoint(2.414,0,2.414){OK} +\psline[linewidth=.2,linecolor=red](O1)(OK) +\psProjection[object=chemin, + linewidth=.2, + linecolor=blue, + normal=1 0 1, + path= + newpath + 0 0 smoveto + 0 1 slineto](1.414,0,1.414) +\psProjection[object=chemin, + linewidth=.2, + linecolor=green, + normal=1 0 1, + path= + newpath + 0 0 smoveto + 1 0 slineto](1.414,0,1.414) +\defFunction[algebraic]{fonction}(x){cos(x)}{x}{} +\psProjection[object=courbeR2, + range=-4 4, + normal=1 0 1, + function=fonction](1.414,0,1.414) +\end{pspicture} +\end{minipage} +\hfil +\begin{minipage}{0.34\linewidth} +\psset{unit=0.5} +\centerline{\texttt{[normal=1 0 1 45]}} + +\begin{pspicture}(-6,-6)(6,7)% +\psframe*[linecolor=blue!50](-6,-6)(6,6) +\psset{lightsrc=50 20 20,viewpoint=50 30 20,Decran=70} +{\psset{linewidth=0.5\pslinewidth,linecolor=gray} +\psSolid[object=grille,base=-4 4 -4 4,action=draw] +\psSolid[object=grille,base=-4 4 -4 4,RotY=90,action=draw]} +\axesIIID(0,0,0)(4,4,4) +\psPoint(1.414,0,1.414){O1}\psPoint(2.414,0,2.414){OK} +\psline[linewidth=.2,linecolor=red](O1)(OK) +\psProjection[object=chemin, + linewidth=.02, + linecolor=red, + normal=1 0 1 45, + path=newpath + -2 1 2 + {-4 smoveto + 0 8 srlineto} for + -4 1 4 + {-2 exch smoveto + 4 0 srlineto} for + ](1.414,0,1.414) +\psProjection[object=chemin, + linewidth=.2, + linecolor=blue, + normal=1 0 1 45, + path= + newpath + 0 0 smoveto + 0 1 slineto](1.414,0,1.414) +\psProjection[object=chemin, + linewidth=.2, + linecolor=green, + normal=1 0 1 45, + path= + newpath + 0 0 smoveto + 1 0 slineto](1.414,0,1.414) +\defFunction[algebraic]{fonction}(x){cos(x)}{x}{} +\psProjection[object=courbeR2, + range=-4 4, + normal=1 0 1 45 , + function=fonction](1.414,0,1.414) +\end{pspicture} +\end{minipage} +\end{center} + +%\newpage +In the second figure, the normal (represented in red) is identical +to the one in the first figure, but the plane is rotated 45 +degrees around that normal. + + +\subsubsection{Method 3: defining the normal by the images of \textit{i} + and \textit{k}} + +In this case \texttt{[normal=ix iy iz kx ky kz]}, the argument +takes six values: the components of the images of +$\overrightarrow{i}$ and $\overrightarrow{k}$, with: +$\overrightarrow{J}=\overrightarrow{K}\wedge \overrightarrow{I}$. + +\begin{center} +\begin{minipage}{0.34\linewidth} +\psset{unit=0.5} +\centerline{\texttt{[normal=0 1 0 1 0 0]}} + +\begin{pspicture}(-6,-6)(6,7)% +\psframe*[linecolor=blue!50](-6,-6)(6,6) +\psset{lightsrc=50 20 20,viewpoint=50 30 20,Decran=70} +{\psset{linewidth=0.5\pslinewidth,linecolor=gray} +\psSolid[object=grille,base=-4 4 -4 4]% +\psSolid[object=grille,base=-4 4 -4 4,action=draw,RotX=90,RotZ=90]}% +\defFunction[algebraic]{fonction}(x){x}{x*sin(x)}{} +\axesIIID(0,0,0)(4,4,4) +\psProjection[object=chemin, + linewidth=.1, + linecolor=green, + normal=0 1 0 1 0 0, + path= + newpath + 0 0 smoveto + 1 0 slineto] +\psProjection[object=chemin, + linewidth=.1, + linecolor=blue, + normal=0 1 0 1 0 0, + path= + newpath + 0 0 smoveto + 0 1 slineto] +\psProjection[object=chemin, + linewidth=.2, + linecolor=red, + normal=0 0 1, + path= + newpath + 0 0 smoveto + 1 0 slineto] +\psProjection[object=courbeR2, + range=-4 4, + linecolor=green, + normal=0 1 0 1 0 0, + function=fonction] +\end{pspicture} +\end{minipage} +\hfil +\begin{minipage}{0.34\linewidth} +\psset{unit=0.5} +\centerline{\texttt{[normal=-1 1 0 1 1 2 ]}} + +\begin{pspicture}(-6,-6)(6,7)% +\psframe*[linecolor=blue!50](-6,-6)(6,6) +\psset{lightsrc=50 20 20,viewpoint=50 30 20,Decran=70} +{\psset{linewidth=0.5\pslinewidth,linecolor=gray} +\psSolid[object=grille,base=-4 4 -4 4]}% +\defFunction[algebraic]{fonction}(x){x}{x*sin(x)}{} +\axesIIID(0,0,0)(4,4,4) +\psProjection[object=chemin, + linewidth=.1, + linecolor=green, + normal=-1 1 0 1 1 2 , + path= + newpath + 0 0 smoveto + 1 0 slineto] +\psProjection[object=chemin, + linewidth=.1, + linecolor=blue, + normal=-1 1 0 1 1 2 , + path= + newpath + 0 0 smoveto + 0 1 slineto] +\psPoint(0,0,0){O}\psPoint(0.4,0.4,0.8){K} +\psline[linewidth=.1,linecolor=red](O)(K) +\psProjection[object=courbeR2, + range=-4 4, + linecolor={[cmyk]{1,0,1,0.5}}, + normal=-1 1 0 1 1 2 , + function=fonction] +\psProjection[object=chemin, + linewidth=.02, + linecolor=red, + normal=-1 1 0 1 1 2, + path=newpath + -4 1 4 + {-4 exch smoveto + 8 0 srlineto} for + -4 1 4 + {-4 smoveto + 0 8 srlineto} for] +\end{pspicture} +\end{minipage} +\end{center} + + +\newpage +\subsubsection{Method 4: defining the normal by the images of + \textit{i}, \textit{k} and an angle of rotation} + +In this case \texttt{[normal=ix iy iz kx ky kz phi]}, the argument +takes seven values: the components of the images of +$\overrightarrow{i}$, $\overrightarrow{k}$ and the angle of +rotation (in degrees) around the normal, with: +$\overrightarrow{J}=\overrightarrow{K}\wedge \overrightarrow{I}$. + +\begin{center} +\begin{minipage}{0.34\linewidth} +\psset{unit=0.5} +\centerline{\texttt{[normal=0 1 0 1 0 0 90]}} + +\begin{pspicture}(-6,-6)(6,7)% +\psframe*[linecolor=blue!50](-6,-6)(6,6) +\psset{lightsrc=50 20 20,viewpoint=50 30 20,Decran=70} +{\psset{linewidth=0.5\pslinewidth,linecolor=gray} +\psSolid[object=grille,base=-4 4 -4 4]% +\psSolid[object=grille,base=-4 4 -4 4,action=draw,RotX=90,RotZ=90]}% +\defFunction[algebraic]{fonction}(x){x}{x*sin(x)}{} +\axesIIID(0,0,0)(4,4,4) +\psProjection[object=chemin, + linewidth=.1, + linecolor=green, + normal=0 1 0 1 0 0 90, + path= + 0 0 smoveto + 1 0 slineto] +\psProjection[object=chemin, + linewidth=.1, + linecolor=blue, + normal=0 1 0 1 0 0 90, + path= + 0 0 smoveto + 0 1 slineto] +\psProjection[object=chemin, + linewidth=.2, + linecolor=red, + normal=0 0 1, + path= + 0 0 smoveto + 1 0 slineto] +\psProjection[object=courbeR2, + range=-4 4, + linecolor=green, + normal=0 1 0 1 0 0 90, + function=fonction] +\end{pspicture} +\end{minipage} +\hfil +\begin{minipage}{0.34\linewidth} +\psset{unit=0.5} +\centerline{\texttt{[normal=-1 1 0 1 1 2 90]}} + +\begin{pspicture}(-6,-6)(6,7)% +\psframe*[linecolor=blue!50](-6,-6)(6,6) +\psset{lightsrc=50 20 20,viewpoint=50 30 20,Decran=70} +{\psset{linewidth=0.5\pslinewidth,linecolor=gray} +\psSolid[object=grille,base=-4 4 -4 4]}% +\defFunction[algebraic]{fonction}(x){x}{x*sin(x)}{} +\axesIIID(0,0,0)(4,4,4) +\psProjection[object=chemin, + linewidth=.1, + linecolor=green, + normal=-1 1 0 1 1 2 90, + path=newpath + 0 0 smoveto + 1 0 slineto] +\psProjection[object=chemin, + linewidth=.1, + linecolor=blue, + normal=-1 1 0 1 1 2 90, + path=newpath + 0 0 smoveto + 0 1 slineto] +\psPoint(0,0,0){O}\psPoint(0.4,0.4,0.8){K} +\psline[linewidth=.1,linecolor=red](O)(K) +\psProjection[object=courbeR2, + range=-4 4, + linecolor={[cmyk]{1,0,1,0.5}}, + normal=-1 1 0 1 1 2 90, + function=fonction] +\psProjection[object=chemin, + linewidth=.02, + linecolor=red, + normal=-1 1 0 1 1 2, + path=newpath + -4 1 4 + {-4 exch smoveto + 8 0 srlineto} for + -4 1 4 + {-4 smoveto + 0 8 srlineto} for] +\end{pspicture} +\end{minipage} +\end{center} + + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-definitionmaillage_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-definitionmaillage_en_corr.tex new file mode 100644 index 00000000000..a09970fbf53 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-definitionmaillage_en_corr.tex @@ -0,0 +1,203 @@ +\section{Definition of grating} + +The user can specify the grating of the solid with the option +\verb+[ngrid]+ within the command \Cadre{\texttt{\textbackslash psSolid}}. + +For the objects +\verb+cube+, +\verb+prisme+, +\verb+prismecreux+, +the syntax is \texttt{[ngrid=}$n_1$\texttt{]} where $n_1$ represents the number of vertical gridlines. + +For the objects +\verb+cylindre+, +\verb+cylindrecreux+, +\verb+cone+, +\verb+conecreux+, +\verb+tronccone+, +\verb+troncconecreux+, +%%\verb+tore+, +the syntax is \texttt{[ngrid=}$n_1$~$n_2$\texttt{]} where $n_1$ is an integer greater or equal +to 1 ($2$ for \verb+tore+) representing the number of the vertical gridlines, and $n_2$ is an integer +representing the number of divisions on the circle. + +For the object +\verb+sphere+, +the syntax is \texttt{[ngrid=}$n_1$~$n_2$\texttt{]} where $n_1$ is an integer, representing the number of divisions on the vertical axis, and +$n_2$ is an integer representing the number of divisions on the circle +horizontally. + +For the object +\verb+tore+, +the syntax is \texttt{[ngrid=}$n_1$~$n_2$\texttt{]} where $n_1$ and $n_2$ +are integers. + +Here are some examples: + +\subsection{The cube} + +\begin{center} +\psset{unit=0.4} +\begin{pspicture}(-7,-7)(7,7) +\psframe(-7,-7)(7,7) +\psset[pst-solides3d]{viewpoint=50 40 20,Decran=50,lightsrc=10 10 10} +\psSolid[a=8,object=cube,ngrid=4,fillcolor=yellow]% +%\psSolid[a=8,object=cube,linewidth=2pt,action=draw]% +\psPoint(0,0,0){O} +%\uput[r](O){$O$} +\psPoint(0,0,4){Ak} +\psPoint(0,0,8){Az} +\uput[u](Az){$z$} +\psPoint(4,0,0){Ai} +\psPoint(8,0,0){Ax} +\uput[u](Ax){$x$} +\psPoint(0,4,0){Aj} +\psPoint(0,8,0){Ay} +\uput[dr](Ay){$y$} +\psPoint(4,-4,0){A1} +\psPoint(4,4,0){A2} +\psPoint(-4,4,0){A3} +\psPoint(-4,-4,0){A4} +\uput[dr](Ay){$y$} +%\psline[linestyle=dashed](O)(Ai) +%\psline[linestyle=dashed](O)(Aj) +%\psline[linestyle=dashed](O)(Ak) +\psline[linecolor=green,arrowsize=2mm,arrowinset=0.2]{->}(Aj)(Ay) +\psline[linecolor=blue,arrowsize=2mm,arrowinset=0.2]{->}(Ai)(Ax) +\psline[linecolor=red,arrowsize=2mm,arrowinset=0.2]{->}(Ak)(Az) +\psdot[linecolor=green](Aj) +\psdot[linecolor=blue](Ai) +\psdot[linecolor=red](Ak) +\end{pspicture} +\hfill +\begin{pspicture}(-7,-7)(7,7) +\psframe(-7,-7)(7,7) +\psset[pst-solides3d]{viewpoint=50 45 10 rtp2xyz,Decran=40,lightsrc=30 45 0} +\psSolid[a=8,object=cube,ngrid=3,fcol=\colorfaces,RotY=45,RotX=30,RotZ=20]% +\end{pspicture} +\end{center} + + +For the first example, the grid is fixed to $4\times4$ +facettes/faces and the command is the following: +\begin{verbatim} +\psSolid[a=8,object=cube,ngrid=4, + fillcolor=yellow]% +\end{verbatim} +In the second example, the face grid is set to $3\times3$ +and the colours of the faces are different. +We use the package +\texttt{arrayjob} to easily save the colours: +\begin{verbatim} +\newarray\colors +\readarray{colors}{% + Apricot&Aquamarine% + etc.} +\end{verbatim} +The list of the colours is given by the command: +\begin{verbatim} +\edef\colorfaces{}% +\multido{\i=0+1}{67}{% + \checkcolors(\i) + \xdef\colorfaces{% + \colorfaces\i\space(\cachedata)\space} + } +\end{verbatim} +One sets up:~\verb+fcol=\colorfaces+. +The gridded cube now is called with: +\begin{verbatim} +\psSolid[a=8,object=cube,ngrid=3,% + fcol=\colorfaces, + RotY=45,RotX=30,RotZ=20]% +\end{verbatim} +The option \texttt{[grid]} suppresses the drawing of the gridlines. + + +\subsection{Sphere} + +\begin{LTXexample}[width=6cm] +\begin{pspicture}(-3,-3)(3,3) +\psset{viewpoint=50 50 20 rtp2xyz,Decran=50,lightsrc=viewpoint} +\psset{color1=cyan,color2=red} +\psSolid[ + fcol=251 (OliveGreen) 232 (color1) 214 (color2), + object=sphere, + ngrid=16 18, + RotX=180,RotZ=30]% +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[width=6cm] +\begin{pspicture}(-3,-3)(3,3) +\psset{viewpoint=50 50 20 rtp2xyz,Decran=50,lightsrc=viewpoint} +\psset{color1=cyan,color2=red} +\psSolid[ + action=draw*, + fcol=0 (OliveGreen) 2 (color1) 3 (color2), + object=sphere, + ngrid=4 4, + RotX=180,RotZ=30]% +\end{pspicture} +\end{LTXexample} + +\subsection{Cylinders} + +\begin{LTXexample}[width=6cm] + +\begin{pspicture}(-3,-4)(3,4) +\psset{viewpoint=50 50 20 rtp2xyz,Decran=50,lightsrc=viewpoint} +\psset{color1=cyan,color2=red} +\psSolid[ + fcol=0 (OliveGreen) 2 (color1) 3 (color2), + h=5,r=2, + object=cylindrecreux, + ngrid=4 30, + RotZ=30 +](0,0,-2.5) +\end{pspicture} +\end{LTXexample} +% +\begin{LTXexample}[width=7cm] +\begin{pspicture}(-3,-4)(4,4) +\psset{viewpoint=50 50 20 rtp2xyz,Decran=50,lightsrc=viewpoint} +\psset{color1=cyan,color2=red} +\psSolid[ + action=draw*, + fcol=0 (OliveGreen) 2 (color1) 3 (color2), + h=5,r=2, + object=cylindre, + ngrid=2 12, + RotY=-20 +](0,0,-2.5) +\end{pspicture} +\end{LTXexample} + + + +\subsection{Torus} + +\begin{LTXexample}[width=6cm] +\begin{pspicture}(-3,-2)(3,2) +\psset{viewpoint=50 50 30 rtp2xyz,Decran=25,lightsrc=viewpoint} +\psSolid[r1=2.5,r0=1.5, + object=tore, + ngrid=4 36, + fillcolor=green!30, + action=draw**]% +\axesIIID(4,4,0)(5,5,4) +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[width=6cm] +\begin{pspicture}(-3,-2)(3,2) +\psset{viewpoint=50 50 30 rtp2xyz,Decran=25,lightsrc=viewpoint} +\psSolid[r1=3.5,r0=1, + object=tore, + ngrid=9 18, + fillcolor=magenta!30, + action=draw**]% +\axesIIID(4.5,4.5,0)(5,5,4) +\end{pspicture} +\end{LTXexample} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-eclairageponctuel_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-eclairageponctuel_en_corr.tex new file mode 100644 index 00000000000..faa69d9396f --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-eclairageponctuel_en_corr.tex @@ -0,0 +1,52 @@ +\section{Lighting by a punctional light source} + +Two parameters, the first one positions the light source, the second one sets the light intensity: +\begin{itemize} + \item \texttt{[lightsrc=20 30 50]} in Cartesian coordinates, or +\texttt{[lightsrc=viewpoint]} to put the light source to the same position as the view point. + \item \texttt{[lightintensity=2]} (default value). +\end{itemize} + +\begin{LTXexample}[width=6cm] +\psset{unit=0.3} +\begin{pspicture}(-10.5,-5)(7.5,4) +\psset{Decran=1e3, + viewpoint=500 0 1000, + lightsrc=viewpoint,mode=4} +\psSolid[object=cube,RotZ=30](0,2,0) +\psSolid[object=cylindrecreux, + RotX=30,RotZ=-30, + fillcolor=cyan,incolor=red](4,-3,0) +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[width=6cm] +\psset{unit=0.3} +\begin{pspicture}(-9,-4)(4,5) +\psset{Decran=30,viewpoint=30 10 20, + lightsrc=viewpoint,mode=3} +\psSolid[object=cube,lightintensity=3, + RotX=90,fillcolor=yellow](0,3,0) +\psSolid[object=cube,lightintensity=1, + RotX=90,fillcolor=yellow](3,-3,0) +\end{pspicture} +\end{LTXexample} + + +When the option \verb+[lightsrc=value1 value2 value3]+ +is not specified, the object is uniformly illuminated. + +\begin{center} + \begin{pspicture}(-6,-4)(6,4) +\psframe(-6,-4)(6,4) +\psset{viewpoint=50 50 30 rtp2xyz,Decran=40} +\psSolid[object=datfile,file=tore1836,deactivatecolor] + %\psSolid[r1=3.5,r0=1,object=tore,ngrid=18 36,fillcolor={[rgb]{.372 .62 .628}}]% + \axesIIID(0,4.5,0)(6,6,4) + \end{pspicture} +\end{center} +\begin{verbatim} + \psSolid[r1=3.5,r0=1,object=tore,ngrid=18 36,fillcolor={[rgb]{.372 .62 .628}}]% +\end{verbatim} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-enleverfacettes_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-enleverfacettes_en_corr.tex new file mode 100644 index 00000000000..2149a031bb8 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-enleverfacettes_en_corr.tex @@ -0,0 +1,32 @@ +\section{Removing faces} + +The key value \verb+[rm=1 2 8]+ allows to suppress the drawing of the +faces with the index numbers 1, 2 and 8, to be able to have a look inside a hollow solid. + +\begin{LTXexample}[width=5cm] +\psset{Decran=12,grid=true,viewpoint=15 10 15} +\begin{pspicture}(-2.5,-2.5)(2.5,2.5) +\psSolid[object=cylindrecreux, + ngrid=2 6, + h=6,r=2, + fillcolor=green!60, + incolor=yellow!50, + RotZ=-60, + rm=1 3 6,](0,0,-3) +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[width=5cm] +\psset{Decran=12,grid=true,viewpoint=15 10 15} +\begin{pspicture}(-2.5,-2.5)(2.5,2.5) +\psSolid[object=troncconecreux, + rm=1 12 13 14, + r0=3,r1=1,h=6, + fillcolor=green!60, + incolor=yellow, + mode=3](0,0,-3) +\end{pspicture} +\end{LTXexample} + + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-extensions_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-extensions_en_corr.tex new file mode 100644 index 00000000000..3e6730cbc72 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-extensions_en_corr.tex @@ -0,0 +1,47 @@ +\section{Creating your own object} +It is possible to create your own object in a separate file and +import it into the list of objects recognized by +\texttt{pst-solides3d}. Create a text file with the extension of \texttt{.pro} +(myObj.pro) and enter the PostScript commands to define your +\texttt{pst-solides3d} object. + +Reference your \texttt{.pro} file in the preamble with +\begin{verbatim} + \pstheader{myObj.pro} +\end{verbatim} +Following this line, add this new object to the list of objects recognized by \texttt{pst-solides3d} +with +\begin{verbatim} + \addtosolideslistobject{myObj} +\end{verbatim} + +For some examples of this technique, see the following web pages: + +\centerline{\url{http://melusine.eu.org/syracuse/mluque/solides3d2007/cristaux/}} + +\centerline{\url{http://melusine.eu.org/syracuse/mluque/solides3d2007/rhombicuboctaedre/}} + + +\section{Creating a \texttt{.u3d} file} + +You can manipulate 3D objects created with \texttt{pst-solides3d}; +the following three steps are necessary: +\begin{enumerate} +\item Save your designed 3D object in the \texttt{.off} or + \texttt{.obj} format -- see the chapter ``\textit{Usage of external files}''. + +\item Then use, for example, \textit{Meshlab} -- an open source software -- (\url{http://meshlab.sourceforge.net/}) to convert these files + into the \texttt{.u3d} format. + +\item The {\LaTeX} package \texttt{movie15} of Alexander \textsc{Grahn} embeds + files in the \texttt{.u3d} format into a PDF document, the document can then be viewed + using $\text{Adobe}^{\text{\tiny\circledR}}$ $\text{Reader}^{\text{\tiny\circledR}}$ 7 or later. +\end{enumerate} + +You will find some examples on the following web pages: + +\centerline{\url{http://melusine.eu.org/syracuse/mluque/solides3d2007/pdf3d/}} + +\centerline{\url{http://melusine.eu.org/syracuse/mluque/solides3d2007/zeolithes/}} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-face_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-face_en_corr.tex new file mode 100644 index 00000000000..0c5b507d803 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-face_en_corr.tex @@ -0,0 +1,59 @@ +\section{One- and two-sided solids} + +The contour of \verb+face+ is defined in the plane $Oxy$ by +\begin{verbatim} +\psSolid[object=face,base=x1 y1 x2 y2 x3 y3 ...xn yn](0,0,0)% +\end{verbatim} +The edge of \verb+face+ is defined in the plane $Oxy$ by the coordinates +of its vertices, given in counterclockwise order by the parameter \verb+base+: + + +\clearpage +\subsection{Triangular \texttt{`faces'}} + +\begin{LTXexample}[width=6.5cm] +\psset{unit=0.4} +\psset{viewpoint=50 -20 30 rtp2xyz,Decran=50} +\begin{pspicture}(-5.5,-4.5)(7,3.5) +\psSolid[object=grille,base=-4 6 -4 4,action=draw,linecolor=gray](0,0,0) +\psSolid[object=face,fillcolor=yellow,action=draw*, + incolor=blue,biface,base=0 0 3 0 1.5 3, + num=all,show=all](0,1,0) +\psSolid[object=face,fillcolor=yellow, + action=draw*,incolor=blue, + base=0 0 3 0 1.5 3,num=all, + show=all,biface,RotX=180](0,-1,0) +\axesIIID(0,0,0)(6,6,3) +\end{pspicture} +\end{LTXexample} + + +\subsection{\texttt{`face'} defined by a function} +\begin{LTXexample}[width=7.5cm] +\psset{unit=0.45} +\psset{viewpoint=50 -20 30 rtp2xyz,Decran=50} +\def\BASE{0 10 360{/Angle ED 5 Angle cos dup mul mul % x + 3 Angle cos 3 exp Angle sin mul mul } for}% y +\begin{pspicture}(-7,-5.5)(9,6) +\defFunction[algebraic]{F}(t){5*(cos(t))^2} + {3*(sin(t))*(cos(t))^3}{} +\psSolid[object=grille,base=-6 6 -6 6,action=draw,linecolor=gray](0,0,0) +\psSolid[object=face,fillcolor=magenta,action=draw*, + incolor=blue,biface,RotZ=90, + base=0 2 pi mul {F} CourbeR2+](0,0,0) +\psSolid[object=face,fillcolor=yellow,action=draw*, + incolor=blue,biface, + base=0 2 pi mul {F} CourbeR2+](0,0,0) +\psSolid[object=face,fillcolor=yellow,action=draw*, + incolor=blue,biface,RotY=180, + base=0 2 pi mul {F} CourbeR2+](0,0,0) +\psSolid[object=face,fillcolor=yellow,action=draw*, + incolor=red,biface,RotY=180,RotZ=90, + base=0 2 pi mul {F} CourbeR2+](0,0,0) +\axesIIID(0,0,0)(6,6,5) +\end{pspicture} +\end{LTXexample} + + + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-fusion_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-fusion_en_corr.tex new file mode 100644 index 00000000000..94c097dbfaf --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-fusion_en_corr.tex @@ -0,0 +1,66 @@ +\section{Fusing solids} + +It is possible to arrange several solids within the same +structure: this is done with the operation \verb+fusion+ of +solids. This technique uses the painting algorithm for the whole +scene. + +To do so, you must activate the option \verb+\psset{solidmemory}+ +to memorize the structures of the different solids within +\bs{psSolid}, with each of them given a separate name. + +You use the object \verb+fusion+ of \bs{psSolid}, by indicating in +the parameter \verb+base+ the list of names of the solids to be +fused. + +To draw the scene, don't forget to conclude the code with +\verb+\composeSolid+. + +\psset{lightsrc=50 -50 50,viewpoint=40 16 32 rtp2xyz,Decran=40} +\begin{LTXexample}[width=7.5cm] +\psset{unit=.6} +\begin{pspicture}(-6,-5)(6,7) +\psset{solidmemory} +\psSolid[object=cylindre,h=6,fillcolor=blue, + r=1.5, + ngrid=4 16, + action=none, + name=A1, + ](0,0,-4) +\psSolid[object=anneau,h=6,fillcolor=red!50, + R=4,r=3,h=1, + action=none, + name=B1, + ](0,0,-1) +\psSolid[object=fusion, + action=draw**, + base=A1 B1, + ](0,0,0) +\composeSolid +\end{pspicture} +\end{LTXexample} + + +\begin{LTXexample}[width=6.5cm] +\psset{unit=0.5} +\begin{pspicture}(-6,-5)(6,5) +\psset{solidmemory} +\psset{lightsrc=50 -50 50,viewpoint=100 -30 40, + Decran=100,linewidth=0.5\pslinewidth, + ngrid=18 18,fillcolor=white, + h=12,r=2,RotX=90} +\psframe*[linecolor=black](-6,-5)(6,5) +\psSolid[object=cylindrecreux, + action=none, + name=cylindre1](0, 6, 0) +\psSolid[object=cylindrecreux, + RotZ=90, + action=none, + name=cylindre2](-6, 0, 0) +\psSolid[object=fusion, + base=cylindre1 cylindre2,RotX=0] +\composeSolid +\end{pspicture} +\end{LTXexample} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-fusionjps_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-fusionjps_en_corr.tex new file mode 100644 index 00000000000..24432fd3d01 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-fusionjps_en_corr.tex @@ -0,0 +1,741 @@ +\def\grille{% quadrillage du plan Oxy + \psPoint(-5,-5,0){S1} + \psPoint(-5,5,0){S2} + \psPoint(5,5,0){S3} + \psPoint(5,-5,0){S4} +\pspolygon*[linecolor=gray!20](S1)(S2)(S3)(S4) +\multido{\ix=-5+1}{11}{% + \psPoint(\ix\space,-5,0){A} + \psPoint(\ix\space,5,0){B} + \psline(A)(B)} +\multido{\iy=-5+1}{11}{% + \psPoint(-5,\iy\space,0){A} + \psPoint(5,\iy\space,0){B} + \psline(A)(B)} + \psPoint(0,0,0){O} + \psPoint(5,0,0){X} + \psPoint(0,5,0){Y} + \psPoint(0,0,8){Z} + \psline[arrowsize=0.3,arrowinset=0.2,linecolor=blue]{->}(O)(X) + \psline[arrowsize=0.3,arrowinset=0.2,linecolor=blue]{->}(O)(Y) + \psline[arrowsize=0.3,arrowinset=0.2,linecolor=blue]{->}(O)(Z) + \uput[r](X){\textcolor{blue}{$x$}}\uput[u](Y){\textcolor{blue}{$y$}}% + \uput[r](Z){\textcolor{blue}{$z$}}\uput[u](O){\textcolor{blue}{$O$}}} + + +\section{Fusing with \textit{jps code}} + +We can also fuse solids by passing the code directly using +\textit{jps code}. The calculation of the hidden parts is carried +out by the PostScript routines of the \texttt{solides.pro} file, +but the lines of code are ``encapsulated'' within a +\texttt{pspicture} environment thanks to the command +\verb+\codejps{ps code}+. + +\subsection{Using \textit{jps code}} + +\subsubsection{The choice of object} + +\begin{itemize} + \item \textsf{[section] n newanneau}: choice of a cylindrical ring defined by + the coordinates of the vertices of its intersection with the plane $Oyz$. + \item \textsf{2 1.5 6 [4 16] newcylindre}: choice of a vertical cylinder +with the following parameters: + \begin{itemize} + \item \texttt{z0=2}: the position of the base centre on the axis $Oz$; + \item \texttt{radius=1.5}: radius of the cylinder; + \item \texttt{z1=6}: the position of the top centre on the + axis $Oz$; + \item \texttt{[4 16]}: the cylinder is sliced horizontally into 4 pieces and +vertically into 16 sectors. + \end{itemize} + \end{itemize} + +\subsubsection{The transformations} + +\begin{itemize} + \item \texttt{\{-1 2 5 translatepoint3d\} solidtransform}: the object +previously chosen is translated to the point with the +coordinates $(x=-1,y=2,z=5)$. + \item \texttt{\{90 0 45 rotateOpoint3d\} solidtransform}: the object +previously chosen is rotated around the axes $(Ox,Oy,Oz)$, in +this order: rotation of 90$^\mathsf{o}$ about $(Ox)$ followed +by a rotation of 45$^\mathsf{o}$ about $(Oz)$. +\end{itemize} + +\subsubsection{The choice of object colour} + +\begin{itemize} + \item dup (yellow) outputcolors: a yellow object illuminated in + white light. +\end{itemize} + +\subsubsection{Fusing objects} + +\begin{itemize} + \item The fusion is finally made with the instruction \texttt{solidfuz}. +\end{itemize} + +\subsubsection{Designing objects} + +\begin{itemize} + \item There are three drawing options: + \begin{itemize} + \item \texttt{drawsolid}: only draw edges; hidden edges are drawn dashed; + \item \texttt{drawsolid*}: draw and fill solids in their coded order (not + a very interesting option at first glance); hidden edges are drawn dashed; + \item \texttt{drawsolid**}: draw and fill solids with the + painting algorithm; only those parts seen by the observer are + drawn. + \end{itemize} +\end{itemize} +\begin{center} +\psset{lightsrc=50 -50 50,viewpoint=40 16 32 rtp2xyz,Decran=40} +\psset{unit=0.4} +\begin{minipage}{0.3\linewidth} +\begin{pspicture}(-6,-5)(6,7) +\psframe*[linecolor=gray!40](-6,-5)(6,7) +\codejps{ +% solide 1 + /tour { + -6 1.5 6 [4 16] newcylindre + dup (jaune) outputcolors + } def +% solide 2 + /anneau { + [4 -1 4 1 3 1 3 -1] 24 newanneau + {0 0 -1 translatepoint3d} solidtransform + dup (orange) outputcolors + } def +% fusion + tour anneau solidfuz + drawsolid} +\end{pspicture} +\end{minipage} +\hfill +\begin{minipage}{0.3\linewidth} +\begin{pspicture}(-6,-5)(6,7) +\psframe*[linecolor=gray!40](-6,-5)(6,7) +\codejps{ +% solide 1 + /tour { + -6 1.5 6 [4 16] newcylindre + dup (jaune) outputcolors + } def +% solide 2 + /anneau { + [4 -1 4 1 3 1 3 -1] 24 newanneau + {0 0 -1 translatepoint3d} solidtransform + dup (orange) outputcolors + } def +% fusion + tour anneau solidfuz + drawsolid*} +\end{pspicture} +\end{minipage} +\hfill +\begin{minipage}{0.3\linewidth} +\begin{pspicture}(-6,-5)(6,7) +\psframe*[linecolor=gray!40](-6,-5)(6,7) +\codejps{ +% solide 1 + /tour { + -6 1.5 6 [4 16] newcylindre + dup (jaune) outputcolors + } def +% solide 2 + /anneau { + [4 -1 4 1 3 1 3 -1] 24 newanneau + {0 0 -1 translatepoint3d} solidtransform + dup (orange) outputcolors + } def +% fusion + tour anneau solidfuz + drawsolid**} +\psPoint(0,0,8){Z} +\psPoint(0,0,6){Z'} +\psline[arrowsize=0.3,arrowinset=0.2]{->}(Z')(Z) +\uput[u](Z){$z$} +\end{pspicture} +\end{minipage} +\end{center} + +\begin{verbatim} +\psset{lightsrc=50 -50 50,viewpoint=50 20 50 rtp2xyz,Decran=50} +\begin{pspicture}(-6,-2)(6,8) +\psframe(-6,-2)(6,8) +\codejps{ +% solide 1 + /tour{ + -6 1.5 6 [4 16] newcylindre + dup (jaune) outputcolors + } def +% solide 2 + /anneau{ + [4 -1 4 1 3 1 3 -1] 24 newanneau + {0 0 -1 translatepoint3d} solidtransform + dup (orange) outputcolors + } def +% fusion + tour anneau solidfuz + drawsolid**} +\end{pspicture} +\end{verbatim} + +\newpage + +\subsection{A chloride ion} +\begin{LTXexample}[width=6cm] +\begin{pspicture}(-3,-4)(3,4) +\psset{lightsrc=100 -50 -10,lightintensity=3,viewpoint=200 20 10 rtp2xyz,Decran=20} +{\psset{linewidth=0.5\pslinewidth} +\codejps{/Cl {9.02 [18 16] newsphere +{-90 0 0 rotateOpoint3d} solidtransform + dup (Green) outputcolors} def +/Cl1 { Cl {10.25 10.25 10.25 translatepoint3d} solidtransform } def +/Cl2 { Cl {10.25 -10.25 10.25 translatepoint3d} solidtransform } def +/Cl3 { Cl {-10.25 -10.25 10.25 translatepoint3d} solidtransform } def +/Cl4 { Cl {-10.25 10.25 10.25 translatepoint3d} solidtransform } def +/Cl5 { Cl {10.25 10.25 -10.25 translatepoint3d} solidtransform } def +/Cl6 { Cl {10.25 -10.25 -10.25 translatepoint3d} solidtransform } def +/Cl7 { Cl {-10.25 -10.25 -10.25 translatepoint3d} solidtransform } def +/Cl8 { Cl {-10.25 10.25 -10.25 translatepoint3d} solidtransform } def +/Cs {8.38 [18 16] newsphere + dup (White) outputcolors} def +/Cl12{ Cl1 Cl2 solidfuz} def +/Cl123{ Cl12 Cl3 solidfuz} def +/Cl1234{ Cl123 Cl4 solidfuz} def +/Cl12345{ Cl1234 Cl5 solidfuz} def +/Cl123456{ Cl12345 Cl6 solidfuz} def +/Cl1234567{ Cl123456 Cl7 solidfuz} def +/Cl12345678{ Cl1234567 Cl8 solidfuz} def +/C_Cs { Cl12345678 Cs solidfuz} def +C_Cs drawsolid**}}% +\psPoint(0,0,0){P} +\psPoint(10.25,10.25,10.25){Cl1} +\psPoint(10.25,-10.25,10.25){Cl2} +\psPoint(-10.25,-10.25,10.25){Cl3} +\psPoint(-10.25,10.25,10.25){Cl4} +\psPoint(10.25,10.25,-10.25){Cl5} +\psPoint(10.25,-10.25,-10.25){Cl6} +\psPoint(-10.25,-10.25,-10.25){Cl7} +\psPoint(-10.25,10.25,-10.25){Cl8} +\pspolygon[linestyle=dashed](Cl1)(Cl2)(Cl3)(Cl4) +\pspolygon[linestyle=dashed](Cl5)(Cl6)(Cl7)(Cl8) +\psline[linestyle=dashed](Cl2)(Cl6) +\psline[linestyle=dashed](Cl3)(Cl7) +\psline[linestyle=dashed](Cl1)(Cl5) +\psline[linestyle=dashed](Cl4)(Cl8) +\pcline[offset=0.5]{<->}(Cl2)(Cl1) +\aput{:U}{a} +\pcline[offset=0.5]{<->}(Cl6)(Cl2) +\aput{:U}{a} +\end{pspicture} +\end{LTXexample} + +We define the chloride ion $\mathrm{Cl^-}$: +\begin{verbatim} +/Cl {9.02 [12 8] newsphere + {-90 0 0 rotateOpoint3d} solidtransform + dup (Green) outputcolors} def +\end{verbatim} +which we shift to each vertex of a cube: +\begin{verbatim} +/Cl1 { Cl {10.25 10.25 10.25 translatepoint3d} solidtransform } def +/Cl2 { Cl {10.25 -10.25 10.25 translatepoint3d} solidtransform } def +/Cl3 { Cl {-10.25 -10.25 10.25 translatepoint3d} solidtransform } def +/Cl4 { Cl {-10.25 10.25 10.25 translatepoint3d} solidtransform } def +/Cl5 { Cl {10.25 10.25 -10.25 translatepoint3d} solidtransform } def +/Cl6 { Cl {10.25 -10.25 -10.25 translatepoint3d} solidtransform } def +/Cl7 { Cl {-10.25 -10.25 -10.25 translatepoint3d} solidtransform } def +/Cl8 { Cl {-10.25 10.25 -10.25 translatepoint3d} solidtransform } def +\end{verbatim} +Then a caesium ion $\mathrm{Cs^+}$ is placed in the center: +\begin{verbatim} +/Cs {8.38 [12 8] newsphere + dup (White) outputcolors} def +\end{verbatim} +Finally we fuse the separate spheres in pairs. + +\vfill + + +\subsection{A prototype of a vehicle} +\begin{center} +\psset{lightsrc=100 0 100,viewpoint=25 10 10,Decran=30} +\begin{pspicture}(-6,-4)(6,8) +\pstVerb{/Pneu { + /m {90 4 div} bind def + /Scos {m cos 2 m mul cos add 3 m mul cos add} bind def + /Z0 {h 4 div} bind def + /c {Z0 Scos div} bind def + /Z1 {Z0 c m cos mul add} bind def + /Z2 {Z1 c m 2 mul cos mul add} bind def + /R1 {R c m sin mul sub} bind def + /R2 {R1 c m 2 mul sin mul sub} bind def + /R3 {R2 c m 3 mul sin mul sub} bind def + R h 4 div neg % 1 + R h 4 div % 2 + R1 Z1 % 3 + R2 Z2 % 4 + R3 h 2 div % 5 + r h 2 div % 6 + r h 2 div neg % 7 + R3 h 2 div neg % 8 + R2 Z2 neg % 9 + R1 Z1 neg % 10 + } def}% +\grille +\codejps{ +/roue12 { +% solide 1 + /R 2 def /r 1 def /h 1 def + [Pneu] 36 newanneau + {90 0 90 rotateOpoint3d} solidtransform + {3 4 2 translatepoint3d} solidtransform + dup (White) outputcolors +% solide 2 + [Pneu] 36 newanneau + {90 0 90 rotateOpoint3d} solidtransform + {-3 4 2 translatepoint3d} solidtransform + dup (White) outputcolors +% fusion + solidfuz } def +/axe12{ +0 0.1 6 [4 16] newcylindre +{90 0 90 rotateOpoint3d} solidtransform +{-3 4 2 translatepoint3d} solidtransform +dup (White) outputcolors +} def +/roue12axes { +roue12 axe12 solidfuz } def +/roue34 { +% solide 3 + /R 1.5 def /r 1 def /h 1 def + [Pneu] 36 newanneau + {90 0 110 rotateOpoint3d} solidtransform + {3 -4 1.5 translatepoint3d} solidtransform + dup (White) outputcolors +% solide 4 + [Pneu] 36 newanneau + {90 0 110 rotateOpoint3d} solidtransform + {-3 -4 1.5 translatepoint3d} solidtransform + dup (White) outputcolors +% fusion + solidfuz } def +/axe34{ +0 0.1 6 [16 16] newcylindre +{90 0 90 rotateOpoint3d} solidtransform +{-3 -4 1.5 translatepoint3d} solidtransform +dup (White) outputcolors +} def +/roue34axes34 { +roue34 axe34 solidfuz } def +/roues {roue34axes34 roue12axes solidfuz} def +/chassis { +0 1 8 [4 16] newcylindre +{100 0 0 rotateOpoint3d} solidtransform +{0 4 2.5 translatepoint3d} solidtransform +dup (White) outputcolors +} def +roues chassis solidfuz + drawsolid**} +\psPoint(0,0,2.7){Z'} +\psline[arrowsize=0.3,arrowinset=0.2,linecolor=blue]{->}(Z')(Z) +\end{pspicture} +\end{center} +We have to operate in several steps to fuse the solids in pairs: +\begin{itemize} + \item We first fuse the two front wheels \texttt{roue12}: + \begin{verbatim} +/roue12 { +% solide 1 + /R 2 def /r 1 def /h 1 def + [Pneu] 36 newanneau + {90 0 90 rotateOpoint3d} solidtransform + {3 4 2 translatepoint3d} solidtransform + dup (White) outputcolors +% solide 2 + [Pneu] 36 newanneau + {90 0 90 rotateOpoint3d} solidtransform + {-3 4 2 translatepoint3d} solidtransform + dup (White) outputcolors +% fusion + solidfuz } def + \end{verbatim} + \item Then the two wheels and their axis: + \begin{verbatim} +/axe12{ +0 0.1 6 [4 16] newcylindre +{90 0 90 rotateOpoint3d} solidtransform +{-3 4 2 translatepoint3d} solidtransform +dup (White) outputcolors +} def +/roue12axes { +roue12 axe12 solidfuz } def +\end{verbatim} + \item After that the rear wheels and their axis: + \begin{verbatim} +/roue34 { +% solide 3 + /R 1.5 def /r 1 def /h 1 def + [Pneu] 36 newanneau + {90 0 110 rotateOpoint3d} solidtransform + {3 -4 1.5 translatepoint3d} solidtransform + dup (White) outputcolors +% solide 4 + [Pneu] 36 newanneau + {90 0 110 rotateOpoint3d} solidtransform + {-3 -4 1.5 translatepoint3d} solidtransform + dup (White) outputcolors +% fusion + solidfuz } def +/axe34{ +0 0.1 6 [16 16] newcylindre +{90 0 90 rotateOpoint3d} solidtransform +{-3 -4 1.5 translatepoint3d} solidtransform +dup (White) outputcolors +} def +/roue34axes34 { +roue34 axe34 solidfuz } def +\end{verbatim} + +\item Then fuse the two wheel assemblies: +\begin{verbatim} +/roues {roue34axes34 roue12axes solidfuz} def +\end{verbatim} + +\item The final step is to fuse the previously generated solid with +the chassis: +\begin{verbatim} +/chassis { +0 1 8 [4 16] newcylindre +{100 0 0 rotateOpoint3d} solidtransform +{0 4 2.5 translatepoint3d} solidtransform +dup (White) outputcolors +} def +roues chassis solidfuz + drawsolid**} +\end{verbatim} +\end{itemize} + + +\subsection{A wheel---or a space station} + +\begin{center} +\begin{pspicture}(-6,-5)(6,6) +\psset{lightsrc=50 -50 50,viewpoint=40 50 60,Decran=60,linewidth=0.5\pslinewidth} +%\psframe*[linecolor=black](-6,-5)(6,5) +\codejps{ + /rayon0 { + 1 0.2 6 [4 16] newcylindre + {90 0 0 rotateOpoint3d} solidtransform + dup (White) outputcolors + } def +36 36 360 { + /angle exch def + /rayon1 { + 1 0.2 6 [4 16] newcylindre + {90 0 angle rotateOpoint3d} solidtransform + dup (White) outputcolors + } def + /rayons {rayon0 rayon1 solidfuz} def + /rayon0 rayons def + } for + /moyeu { -2 1 2 [4 10] newcylindre dup (jaune) outputcolors} def + /rayonsmoyeu {rayons moyeu solidfuz} def + /pneu {2 7 [18 36] newtore dup (White) outputcolors} def + /ROUE {pneu rayonsmoyeu solidfuz} def + ROUE drawsolid**} +\end{pspicture} +\end{center} +We define the first spoke: +\begin{verbatim} + /rayon0 { + 1 0.2 6 [4 16] newcylindre + {90 0 0 rotateOpoint3d} solidtransform + dup (White) outputcolors + } def +\end{verbatim} +Then, with a loop, we fuse all the spokes of the wheel: +\begin{verbatim} +36 36 360 { + /angle exch def + /rayon1 { + 1 0.2 6 [4 16] newcylindre + {90 0 angle rotateOpoint3d} solidtransform + dup (White) outputcolors + } def + /rayons {rayon0 rayon1 solidfuz} def + /rayon0 rayons def + } for +\end{verbatim} +After that, we draw the hub and the tyre of the wheel, and finally +fuse all of them: +\begin{verbatim} + /moyeu { -0.5 1 0.5 [4 10] newcylindre dup (White) outputcolors} def + /rayonsmoyeu {rayons moyeu solidfuz} def + /pneu {2 7 [18 36] newtore dup (jaune) outputcolors} def + /ROUE {pneu rayonsmoyeu solidfuz} def + ROUE drawsolid** +\end{verbatim} + + +\subsection{Intersection of two cylinders} + +\begin{LTXexample}[width=8cm] +\begin{pspicture}(-4,-3)(6,3) +\psset{lightsrc=50 -50 50,viewpoint=100 -30 +40,Decran=100,linewidth=0.5\pslinewidth, unit=0.5} +%\psframe*[linecolor=black](-6,-5)(6,5) +\codejps{ + /cylindre1 { + -6 2 6 [36 36] newcylindrecreux %newcylindre + {90 0 0 rotateOpoint3d} solidtransform + dup (Yellow) (White) inoutputcolors + } def + /cylindre2 { + -6 2 6 [36 36] newcylindrecreux% newcylindre + {90 0 90 rotateOpoint3d} solidtransform + dup (Yellow) (White) inoutputcolors + } def + /UnionCylindres {cylindre1 cylindre2 solidfuz} def + UnionCylindres drawsolid**} +\end{pspicture} +\end{LTXexample} + + +\subsection{Intersection between a sphere and a cylinder} + +This time we draw the curve of intersection using +\verb+\psSolid[object=courbe]+. + +\begin{LTXexample}[width=8cm] +\psset{unit=0.5,lightsrc=50 -50 50,viewpoint=100 0 0 rtp2xyz,Decran=110,linewidth=0.5\pslinewidth} +\begin{pspicture}(-7,-6)(5,6) +\defFunction{F}(t){t cos dup mul 5 mul}{t cos t sin mul 5 mul}{t sin 5 mul} +\codejps{% + /cylindre1 { + -5 2.5 5 [36 36] newcylindre + {2.5 0 0 translatepoint3d} solidtransform + dup (White) outputcolors + } def + /sphere1 { + 5 [36 72] newsphere + dup (White) outputcolors + } def + /CS {cylindre1 sphere1 solidfuz} def + CS drawsolid**} +\psPoint(0,0,0){O} +\psSolid[object=courbe,r=0, + function=F, + range=0 360, + linecolor=red,linewidth=4\pslinewidth] +\end{pspicture} +\end{LTXexample} + + +\subsection{Two linked rings} + +\begin{LTXexample}[width=8cm] +\begin{pspicture}(-5,-4)(3,3) +\psset{lightsrc=50 50 50,viewpoint=40 50 60,Decran=30,unit=0.85} +\codejps{ + /anneau1 {1 7 [12 36] newtore + {0 0 0 translatepoint3d} solidtransform + dup (Yellow) outputcolors} def + /anneau2 {1 7 [12 36] newtore + {90 0 0 rotateOpoint3d} solidtransform + {7 0 0 translatepoint3d} solidtransform + dup (White) outputcolors} def + /collier {anneau1 anneau2 solidfuz} def + collier drawsolid**} +\end{pspicture} +\end{LTXexample} + + + +\subsection{The methane molecule: wooden model} + +\begin{LTXexample}[width=8cm] +\begin{pspicture}(-4.5,-4)(3.2,5) +\psset{lightsrc=50 50 10,lightintensity=2,viewpoint=100 50 20 rtp2xyz, +Decran=30} +\psset{linecolor={[cmyk]{0,0.72,1,0.45}},linewidth=0.5\pslinewidth, + unit=1} +%\psframe[fillstyle=solid,fillcolor=green!20](-4,-4)(3.2,5) +\pstVerb{/hetre {0.764 0.6 0.204 setrgbcolor} def + /chene {0.568 0.427 0.086 setrgbcolor} def + /bois {0.956 0.921 0.65 setrgbcolor} def + }% +\codejps{ + /H1 { + 2 [18 16] newsphere + {-90 0 0 rotateOpoint3d} solidtransform + {0 10.93 0 translatepoint3d} solidtransform + dup (hetre) outputcolors} def + /L1 { + 0 0.25 10 [12 10] newcylindre + {-90 0 0 rotateOpoint3d} solidtransform + dup (bois) outputcolors + } def +/HL1{ H1 L1 solidfuz} def +/HL2 { HL1 {0 0 -109.5 rotateOpoint3d} solidtransform } def +/HL3 { HL2 {0 -120 0 rotateOpoint3d} solidtransform } def +/HL4 { HL2 {0 120 0 rotateOpoint3d} solidtransform } def + /C {3 [18 16] newsphere + {90 0 0 rotateOpoint3d} solidtransform + dup (chene) outputcolors} def +/HL12 { HL1 HL2 solidfuz} def +/HL123 { HL12 HL3 solidfuz} def +/HL1234 { HL123 HL4 solidfuz} def +/methane { HL1234 C solidfuz} def + methane drawsolid**} +\end{pspicture} +\end{LTXexample} + + +\subsection{The thiosulphate ion} + +\begin{center} +\begin{pspicture}(-4,-3)(4.5,5.5) +\psset{lightsrc=100 10 -20,lightintensity=3,viewpoint=200 30 +20 rtp2xyz,Decran=40} +\psframe(-4,-3)(4.5,5.5) +{\psset{linewidth=0.5\pslinewidth} +\codejps{ +/Soufre1 {3.56 [20 16] newsphere + dup (Yellow) outputcolors} def +/Soufre2 {3.56 [20 16] newsphere + {0 0.000 20.10 translatepoint3d} solidtransform + dup (Yellow) outputcolors} def +% Liaison simple +/LiaisonR { + 7.5 0.5 15 [10 10] newcylindre + dup (Red) outputcolors + } def +/LiaisonY { + 0 0.5 7.5 [10 10] newcylindre + dup (Yellow) outputcolors + } def +% fin Liaison simple +/Liaison{LiaisonR LiaisonY solidfuz} def +/Ox {2.17 [20 16] newsphere + {0 0 15 translatepoint3d} solidtransform + dup (Red) outputcolors} def +/LO { Liaison Ox solidfuz} def +/LO1 { LO {0 -109.5 0 rotateOpoint3d} solidtransform } def +/LOx1 { LO1 {0 0 120 rotateOpoint3d} solidtransform } def +% fin liaison simple S-O +% Liaison double S=O +/LiaisonD1 {Liaison {-0.75 0 0 translatepoint3d} solidtransform} def +/LiaisonD2 {Liaison {0.75 0 0 translatepoint3d} solidtransform} def +/LiaisonDD { LiaisonD1 LiaisonD2 solidfuz} def +/LiaisonDOx {LiaisonDD Ox solidfuz} def +/LiaisonDOx1 {LiaisonDOx {0 -109.5 0 rotateOpoint3d} solidtransform } def +/LiaisonDOx2 {LiaisonDOx1 {0 0 -120 rotateOpoint3d} solidtransform } def +/LO12 { LiaisonDOx1 LiaisonDOx2 solidfuz} def +/LO123 {LO12 LOx1 solidfuz} def +% liaison simple S-S +/L4 { 0 0.5 20.10 [16 10] newcylindre + dup (Yellow) outputcolors + } def +/S1L4{ Soufre1 L4 solidfuz} def +/S1S2L4{ S1L4 Soufre2 solidfuz} def +/S2O3 { S1S2L4 LO123 solidfuz} def +S2O3 drawsolid**} +\axesIIID(0,0,0)(25,20,25)} +\psPoint(0,0,20.1){S2} +\psPoint(-14.14,0,-5){O1} +\psPoint(7.07,-12.24,-5 ){O2} +\psPoint(7.07,12.24,-5 ){O3} +\pcline[linestyle=dotted]{<->}(O2)(O) +\aput{:U}{15 pm} +\pcline[linestyle=dotted]{<->}(O)(S2) +\aput{:U}{\small 20,1 pm} +\pcline[linestyle=dotted]{<->}(O2)(O3) +\lput*{:U}{\small 24,5 pm} +\pcline[linestyle=dotted]{<->}(O2)(S2) +\lput*{:U}{\small 28,8 pm} +\pstMarkAngle[arrows=<->,MarkAngleRadius=0.8,linestyle=dotted]{O2}{O}{O3}{\footnotesize 109,4$^{\mathrm{o}}$} +\pstMarkAngle[arrows=<->,MarkAngleRadius=0.8,linestyle=dotted]{O1}{O}{S2}{\footnotesize 109,5$^{\mathrm{o}}$} +\rput(0,-2.5){$\mathrm{S_2^{\phantom{2}}O_3^{2-}}$} +\end{pspicture} +\end{center} + +We first define the two sulphur atoms and place them on the $Oz$ +axis. $\mathrm{S_1}$ is placed at the origin $O$. +\begin{verbatim} +\codejps{ +/Soufre1 {3.56 [20 16] newsphere + dup (Yellow) outputcolors} def +/Soufre2 {3.56 [20 16] newsphere + {0 0.000 20.10 translatepoint3d} solidtransform + dup (Yellow) outputcolors} def +\end{verbatim} +Then the single bond \textsf{S-O} using the following convention: +half red---the half connected to \textsf{O}, and half yellow---the half connected to \textsf{S}. +\begin{verbatim} +/LiaisonR { + 7.5 0.5 15 [10 10] newcylindre + dup (Red) outputcolors + } def +/LiaisonY { + 0 0.5 7.5 [10 10] newcylindre + dup (Yellow) outputcolors + } def +/Liaison{LiaisonR LiaisonY solidfuz} def +\end{verbatim} +The oxygen atom, its bond, and the setting of the combined unit: +\begin{verbatim} +/Ox {2.17 [20 16] newsphere + {0 0 15 translatepoint3d} solidtransform + dup (Red) outputcolors} def +/LO { Liaison Ox solidfuz} def +/LO1 { LO {0 -109.5 0 rotateOpoint3d} solidtransform } def +/LOx1 { LO1 {0 0 120 rotateOpoint3d} solidtransform } def +% fin liaison simple S-O +\end{verbatim} +For the double bond \textsf{S=O}, we take the single bond above +and duplicate it with shifts of 0.75~cm along the $Ox$ axis. +\begin{verbatim} +% Liaison double S=O +/LiaisonD1 {Liaison {-0.75 0 0 translatepoint3d} solidtransform} def +/LiaisonD2 {Liaison {0.75 0 0 translatepoint3d} solidtransform} def +/LiaisonDD { LiaisonD1 LiaisonD2 solidfuz} def +\end{verbatim} +Connecting it to the \textsf{O} atom: +\begin{verbatim} +/LiaisonDOx {LiaisonDD Ox solidfuz} def +\end{verbatim} +and with two successive rotations we position the two bonds +\textsf{=O}: +\begin{verbatim} +/LiaisonDOx1 {LiaisonDOx {0 -109.5 0 rotateOpoint3d} solidtransform } def +/LiaisonDOx2 {LiaisonDOx1 {0 0 -120 rotateOpoint3d} solidtransform } def +\end{verbatim} +The following step consists of fusing the two connections: +\begin{verbatim} +/LO12 { LiaisonDOx1 LiaisonDOx2 solidfuz} def +/LO123 {LO12 LOx1 solidfuz} def +\end{verbatim} +Then the single bond \textsf{S-S} is created: +\begin{verbatim} +% liaison simple S-S +/L4 { 0 0.5 20.10 [16 10] newcylindre + dup (Yellow) outputcolors + } def +\end{verbatim} +and fused with the two atoms \textsf{S-S}: +\begin{verbatim} +/S1L4{ Soufre1 L4 solidfuz} def +/S1S2L4{ S1L4 Soufre2 solidfuz} def +\end{verbatim} +The last step will be to fuse the two \textsf{S-S} and the three +\textsf{O} already equipped with their bonds: +\begin{verbatim} +/S2O3 { S1S2L4 LO123 solidfuz} def +S2O3 drawsolid**} +\end{verbatim} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-geode_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-geode_en_corr.tex new file mode 100644 index 00000000000..42d119c8b90 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-geode_en_corr.tex @@ -0,0 +1,200 @@ +\section{The object \texttt{geode}} + +\subsection{Mathematical presentation} + +Some excellent tutorials about geodes and their duals are available on the following websites: + +\centerline{\url{http://fr.wikipedia.org/wiki/G\%C3\%A9ode}} +%I was not sure whether you meant ``geode'' so I looked up this url. Wikipedia indicated that there is no article about this. + +The parametrization of a geode complies with that given on the website: + + +\centerline{\url{http://hypo.ge-dip.etat-ge.ch/www/math/html/amch104.html}} + +``\textit{We can define a geode with two parameters: a number $N$ indicating the type of the initial polyhedron ($N = 3$ for the tetrahedron, $N = 4$ for the octahedron and $N = 5$ for the icosahedron) and a number $n$ indicating the number of divisions along the edge's length.}'' + + +The article \textit{Indexing the Sphere with the Hierarchical Triangular Mesh} describes a method that allows us to obtain a representation of geodes: + + +\centerline{\url{http://research.microsoft.com/research/pubs/view.aspx?msr_tr_id=MSR-TR-2005-123}} + +\subsection{Construction with pst-solides3d} + +Two approaches are possible to generate a geode or its dual: +either via \verb+\codejps+, or via the objects of +\bs{psSolid}. + +For a geode, the codes +\begin{verbatim} +\codejps{N n newgeode drawsolid**} +\end{verbatim} +and +\begin{verbatim} +\psSolid[object=geode,ngrid=N n] +\end{verbatim} +are equivalent. And for its dual, the codes +\begin{verbatim} +\codejps{N n newdualgeode drawsolid**} +\end{verbatim} +and +\begin{verbatim} +\psSolid[object=geode,dualreg,ngrid=N n] +\end{verbatim} + + + +\subsection{Some examples of geodes and their duals} + +\begin{LTXexample}[width=6cm] +\begin{pspicture}(-3,-3)(3,3) +\psset{viewpoint=50 -20 30 rtp2xyz,Decran=100} +\psSolid[object=geode, + ngrid=5 0] +%\codejps{5 0 newgeode drawsolid**} +\psframe*(-2,-2.8)(2,-2.2) +\rput(0,-2.5){\textcolor{white}{\textsf{N=5 n=0}}} +\end{pspicture} +\end{LTXexample} +\begin{LTXexample}[width=6cm] +\begin{pspicture}(-3,-3)(3,3) +\psset{viewpoint=50 -20 30 rtp2xyz,Decran=100} +\psSolid[object=geode, + dualreg, + ngrid=5 0] +%\codejps{5 0 newdualgeode drawsolid**} +\psframe*(-2,-2.8)(2,-2.2) +\rput(0,-2.5){\textcolor{white}{\textsf{N=5 n=0}}} +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[width=6cm] +\begin{pspicture}(-3,-3)(3,3) +\psset{viewpoint=50 -20 30 rtp2xyz,Decran=100} +\psSolid[object=geode, + ngrid=5 1] +%\codejps{5 1 newgeode drawsolid**} +\psframe*(-2,-2.8)(2,-2.2) +\rput(0,-2.5){\textcolor{white}{\textsf{N=5 n=1}}} +\end{pspicture} +\end{LTXexample} +\begin{LTXexample}[width=6cm] +\begin{pspicture}(-3,-3)(3,3) +\psset{viewpoint=50 -20 30 rtp2xyz,Decran=100} +\psSolid[object=geode, + dualreg, + ngrid=5 1] +%\codejps{5 1 newdualgeode drawsolid**} +\psframe*(-2,-2.8)(2,-2.2) +\rput(0,-2.5){\textcolor{white}{\textsf{N=5 n=1}}} +\end{pspicture} +\end{LTXexample} + +\subsection{The parameters of the geodes} + +The radius of the sphere is fixed at 1, so to vary the dimensions of the +geodes one plays around with one or the other of the two following parameters: +\begin{itemize} + \item The unit: \verb+\psset{unit=2}+ + \item The position of the screen: + \verb+viewpoint=50 -20 30,Decran=100+, if the distance to the screen + is twice as far as the distance to the viewer, one scales the scenery by a factor of two. +\end{itemize} + +\encadre{Within jps, the setup for the geode is \textbackslash{}codejps\{\textbf{N n newgeode}\} and + for its dual it is \textbackslash{}codejps\{\textbf{N n + newdualgeode}\}.} + +\encadre{With \textbackslash{}psSolid, the parameters $N$ and $n$ are transmitted via the argument \texttt{ngrid}} + +The color and transparency options are available for the geodes as well. + +\begin{LTXexample}[width=7cm] +\psset{viewpoint=50 -20 30 rtp2xyz,Decran=150} +\begin{pspicture}(-3.5,-3.5)(3.5,3.5) +\psset{linewidth=2pt} +\codejps{ +/geode42{4 2 newdualgeode} def +.7 setfillopacity +orange +/geodetransparente{ +geode42 +dup videsolid +dup (orange) inputcolors +dup [.1 .9] solidputhuecolors} def +geodetransparente +drawsolid**} +\end{pspicture} +\end{LTXexample} + +\subsection{Advice for a `fast' construction of a geode} + +The calculation time for the geodes and their duals depends on the number of divisions of an edge +(the second parameter $n$) and will increase rapidly with $n$ +which is really uncomfortable, because one has to wait more or less patiently, until +the result of the transformation \Cadre{dvips->ps2pdf} is ready. + +As happens for all other solids, it is possible to save the calculation in external files, + which then saves calculation time when one has to make a test run of colours or view point. + +One has to operate in two stages: + +\subsubsection{Backup the parameters of the geodes in a \texttt{.dat} file} + +\begin{verbatim} +\documentclass{article} +\usepackage{pst-solides3d} +\begin{document} +\codejps{ +4 4 newdualgeode + dup {[.5 .6]} exec solidputhuecolors +(geodedual44) writesolidfile +} +\end{document} +\end{verbatim} +\Cadre{LaTeX->dvips->GSview (Windows)ou gv (Linux)} + +The last operation will generate 4 files: +\begin{itemize} + \item \texttt{geodedual44-couleurs.dat} $\rightarrow$ the colors of the faces; + \item \texttt{geodedual44-faces.dat} $\rightarrow$ the list of the faces; + \item \texttt{geodedual44-sommets.dat} $\rightarrow$ the list of the vertices; + \item \texttt{geodedual44-io.dat} $\rightarrow$ the number of the faces and vertices. +\end{itemize} + +\encadre{By default, under Windows and Linux, the security of files on the hard drive is activated and doesn't allow you to write on the drive. +To deactivate that security option, more or less temporarily, here the two corresponding procedures: + +\begin{description} + + \item[Linux:] Advice from Jean-Michel \textsc{Sarlat}: the simplest will be to use GhostScript directly, within the console. As there is no image to wait for: + +\$$>$ gs -dNOSAFER monfichier.ps quit.ps + \item[Windows:] Within the menu \texttt{Options}, the option + \textsf{Security of files} must be unchecked. +\end{description}} + +\subsubsection{Reading the data and drawing the geode} + +%% \begin{LTXexample}[pos=t] +%% \psset{unit=2} +%% \psset{lightsrc=10 0 10,SphericalCoor=true,viewpoint=50 -20 30,Decran=100} +%% \begin{pspicture}(-2,-2)(2,2) +%% \psframe(-2,-2)(2,2) +%% \psSolid[object=datfile,file=geodedual44] +%% \end{pspicture} +%% \end{LTXexample} + +The advantage of this method becomes even more evident when one compares the compilation of two files producing the same result by different methods: + +The file \texttt{geode42\_direct.tex} calculates the solid and its view. The file \texttt{geode42\_precalcul.tex} uses the file + \texttt{.dat} including the precalculated data of the file +\texttt{calc\_geode42.tex}. These three files are included in the distribution. + +\subsection{Some other examples} +You will find numerous other examples of geodes on the website: + +\centerline{\url{http://melusine.eu.org/lab/bpst/pst-solides3d/geodes}} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-grille_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-grille_en_corr.tex new file mode 100644 index 00000000000..f69da2f468e --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-grille_en_corr.tex @@ -0,0 +1,52 @@ +\section{The grid} + +The object \verb+grille+ allows you to obtain a solid plane. +The key \texttt{[base=$x{min}$ ${x{max}}$ ${y{min}}$ +${y{max}}$]} lets you specify the dimension of the grid. % $ + + +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{LTXexample}[width=6.5cm] +\begin{pspicture}(-3.5,-1.5)(3.5,2.5) +\psSolid[object=grille, + base=0 4 -3 3, + linecolor=gray](0,0,0) +\axesIIID(0,0,0)(4,3,3) +\end{pspicture} +\end{LTXexample} + + +The key \texttt{[ngrid=$n_1$ $n_2$]} lets you specify +fineness of the grid. If $n_2$ is not set up, it is considered that $n_2 = +n_1$. + +If $n_1$ is an integer, it represents the number of grid points along the +$Ox$ axis. If it is a real, it represents the step size along the +$Ox$ axis. For example, the number \verb+1+ is an integer, the number \verb+1.+ is real (note the decimal point). + + + +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{LTXexample}[width=6.5cm] +\begin{pspicture}(-3.5,-1.5)(3.5,2.5) +\psSolid[object=grille, + ngrid=1, + base=0 4 -3 3, + linecolor=gray](0,0,0) +\axesIIID(0,0,0)(3,3,3) +\end{pspicture} +\end{LTXexample} + +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{LTXexample}[width=6.5cm] +\begin{pspicture}(-3.5,-1.5)(3.5,2.5) +\psSolid[object=grille, + ngrid=1. 1, + base=0 4 -3 3, + linecolor=gray](0,0,0) +\axesIIID(0,0,0)(3,3,3) +\end{pspicture} +\end{LTXexample} + + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-keywords_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-keywords_en_corr.tex new file mode 100644 index 00000000000..58d7cab3624 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-keywords_en_corr.tex @@ -0,0 +1,606 @@ +\section{Alphabetical list of keywords} + + +%%% some convenient definitions +\def\|{\discretionary{|}{}{|}}%%% +\def\_{\discretionary{}{}{}}%%% +\def\[{{\upshape [}}%%% +\def\]{{\upshape ]}}%%% +\def\({{\upshape (}}%%% +\def\){{\upshape )}}%%% +\def\kwd#1{\texttt{\upshape #1}}%%% +\def\~{\discretionary{\kwd|}{}{\kwd|}}%%% +\let\mc\multicolumn%%% +\def\£{\hphantom{def}} + +\begin{tabular}{|p{3.5cm}|p{5.8cm}|} + \hline + \multicolumn2{|c|}{\textbf{Glossary of symbols}}\\[.2em] + \hline + \multicolumn{1}{|l|}{\textbf{Symbol}}& + \multicolumn{1}{l|}{\textbf{Use/meaning}} \\ \hline + \kwd{object}, \kwd{sommets}, ...& keywords\\ + $A$, $B$, $C$, $I$, $P$ & names of points\\ + $x$ $y$ & coordinates of a point in a plane\\ + $x$ $y$ $z$ & coordinates of a 3d point\\ + $r$ $\theta$ $\phi$ & spherical coordinates of a 3d point\\ + $L$, $M$ & names of lines\\ + $C$, $r$ & circle, centre name $C$, radius $r$\\ + $a$ $b$ $c$ & components of a normal\\ + \[$a$ $b$ $c$ $d$\]&the plane $ax+by+cz+d=0$\\ + $a$, $b$ & intercepts of lines\\ + $u$, $v$ & names of vectors\\ + $\alpha$ & angle/angle of rotation\\ + $k$ & scaling factor\\ + $S$ & name of a solid\\ + $i$ & index number of a vertex/face\\ + $w$ & linewidth\\ + \textit{num} & integer\\ + \textit{value} & real number\\ + \textit{length} & positive real number\\ + \textit{string} & text string\\ + $a$\~$b$\~$c$\~... & alternatives\\ + \hline +\end{tabular} + + +\begin{longtable}{|>{\bfseries\ttfamily\color{blue}}p{2.4cm}@{} + |>{\ttfamily}p{4.5cm}@{}|>{\itshape}p{7.5cm}@{}|>{\ttfamily}p{1.7cm}@{}|} + \hline + \multicolumn{1}{|l|}{\textbf{Name}}& + \multicolumn{1}{l|}{\textbf{Command/Object}}& + \multicolumn{1}{l|}{\textbf{Value}}& + \multicolumn{1}{l|}{\textbf{Default}} \\ \hline\hline +\endfirsthead +\hline + \multicolumn{1}{|l|}{\textbf{Name}}& + \multicolumn{1}{l|}{\textbf{Command/Object}}& + \multicolumn{1}{l|}{\textbf{Value}}& + \multicolumn{1}{l|}{\textbf{Default}} \\ \hline\hline +\endhead +\multicolumn{4}{|r|}{\textit{Continued on next page}}\\ \hline +\endfoot +\hline \multicolumn{4}{|r|}{\textit{End of table}}\\ \hline +\endlastfoot + +a& + \textbackslash{}psSolid&&\\[.5em] + &object=cube\|tetrahedron\|octahedron\|% + dodecahedron\|icosahedron&length&2\\ + \hline + +a, b and c& + \textbackslash{}psSolid&&\\[.5em] + &object=\_parallelepiped&length&4\\ + \hline + +action& + \textbackslash{}psSolid&\upshape\ttfamily + none\|draw\|draw*\|draw**\|writeobj\|writeoff\|writesolid&\texttt{draw**}\\ + \hline + +affinage& + \textbackslash{}psSolid& + \kwd{all}\~ $i_0$ $i_1$ ... $i_n$&\\ + \hline + +affinage\-coeff& + \textbackslash{}psSolid&value&0.8\\ + \hline + +affinagerm& + \textbackslash{}psSolid& + boolean&true\\ + \hline + +algebraic& + \textbackslash{}psFunction, \textbackslash{}psSurface& + boolean&false\\ + \hline + +args& + \textbackslash{}psSolid&&\\[.5em] + + &object=plan&&\\ + &definition&&\\ + &\£=equation&\{\[a b c d \]\}\~% + \{\[a b c d \] $\alpha$\}&\\ + &\£=normalpoint&\{$x_0$ $y_0$ $z_0$ \[a b c\]\}\~&\\ + &&\{$x_0$ $y_0$ $z_0$ \[a b c $\alpha$\]\}\~&\\ + &&\{$x_0$ $y_0$ $z_0$ \[$u_x$ $u_y$ $u_z$ a b c\]\}\~&\\ + &&\{$x_0$ $y_0$ $z_0$ \[$u_x$ $u_y$ $u_z$ a b c $\alpha$\]\}&\\ + &\£=solidface&$S$ $i$&\\[.5em] + + &object=point&$x$ $y$ $z$ \~ $P$&\\ + &definition&&\\ + &\£=addv3d&$x_1$ $y_1$ $z_1$ $x_2$ $y_2$ $z_2$ \~ u v&\\ + &\£=barycentre3d&\{\[$A$ $i_A$ $B$ $i_B$\]\}&\\ + &\£=hompoint3d&$P$ $A$ $k$&\\ + &\£=isobarycentre3d&\{\[$A_0$ $A_1$ ... $A_n$\]\}&\\ + &\£=milieu3d&$A$ $B$&\\ + &\£=mulv3d&$x$ $y$ $z$ $k$ \~ $u$ $k$&\\ + &\£=normalize3d&$x$ $y$ $z$ \~ $u$&\\ + &\£=orthoprojplane3d&$P$ $A$ $v$&\\ + &\£=rotateOpoint3d&$P$ $\alpha_x$ $\alpha_y$ $\alpha_z$&\\ + &\£=scaleOpoint3d&$x$ $y$ $z$ $k_x$ $k_y$ $k_z$ \~ name $k_x$ $k_y$ $k_z$&\\ + &\£=solidcentreface&$S$ $i$&\\ + &\£=solidgetsommet&$S$ $i$&\\ + &\£=subv3d&$x_1$ $y_1$ $z_1$ $x_2$ $y_2$ $z_2$ \~ $u$ $v$&\\ + &\£=sympoint3d&$P$ $A$&\\ + &\£=translatepoint3d&$P$ $v$&\\ + &\£=vectprod3d&$x_1$ $y_1$ $z_1$ $x_2$ $y_2$ $z_2$ \~ $u$ $v$&\\[.5em] + + &object=vecteur&$x$ $y$ $z$ \~&\\ + &&$x_1$ $y_1$ $z_1$ $x_2$ $y_2$ $z_2$ \kwd{addv3d} \~&\\ + &&$x_1$ $y_1$ $z_1$ $x_2$ $y_2$ $z_2$ \kwd{subv3d} \~&\\ + &&$x$ $y$ $z$ $k$ \kwd{mulv3d} \~&\\ + &&$x$ $y$ $z$ \kwd{normalize3d} \~&\\ + &&$x_1$ $y_1$ $z_1$ $x_2$ $y_2$ $z_2$ \kwd{vectprod3d} &\\[.5em] + + &object=vecteur3d&$x_A$ $y_A$ $z_A$ $x_B$ $y_B$ $z_B$ \~ $A$ $B$&\\[.6em] + +args& + \textbackslash{}psProjection&&\\[.5em] + + &object=cercle&$x$ $y$ $r$ \~ $C$ $r$&\\ + &definition&&\\ + &\£=ABcercle&$A$ $B$ $C$&\\ + &\£=diamcercle&$A$ $B$&\\[.5em] + + &object=droite&$x_1$ $y_1$ $x_2$ $y_2$ \~ $A$ $B$&\\ + &definition&&\\ + &\£=axesymdroite&$L$ $M$&\\ + &\£=bissectrice&$A$ $B$ $C$&\\ + &\£=horizontale&$b$&\\ + &\£=mediatrice&$A$ $B$&\\ + &\£=paral&$L$ $A$&\\ + &\£=perp&$L$ $A$&\\ + &\£=rotatedroite&$L$ $A$ $\alpha$&\\ + &\£=translatedroite&$L$ $u$&\\ + &\£=verticale&$a$&\\[.5em] + + &object=line&$A_0$ $A_1$ ... $A_n$&\\[.5em] + + &object=point&&\\ + &definition&&\\ + &\£=axesympoint&$P$ $L$&\\ + &\£=cpoint&$\alpha$ $C$ $r$&\\ + &\£=hompoint&$P$ $A$ $k$&\\ + &\£=interdroite&$L$ $M$&\\ + &\£=interdroitecercle&$L$ $C$ $r$&\\ + &\£=milieu&$A$ $B$&\\ + &\£=orthoproj&$P$ $L$&\\ + &\£=parallelopoint&$A$ $B$ $C$&\\ + &\£=projx&$P$&\\ + &\£=projy&$P$&\\ + &\£=rotatepoint&$P$ $I$ $\alpha$&\\ + &\£=sympoint&$P$ $I$&\\ + &\£=translatepoint&$P$ $u$&\\ + &\£=xdpoint&$x$ $L$&\\ + &\£=ydpoint&$y$ $L$&\\[.5em] + + &object=polygone&$A_0$ $A_1$ ... $A_n$&\\ + &definition&&\\ + &\£=axesympol&pol $L$&\\ + &\£=hompol&pol $I$ $\alpha$&\\ + &\£=rotatepol&pol $I$ $\alpha$&\\ + &\£=sympol&pol $I$&\\ + &\£=translatepol&pol $u$&\\[.5em] + + &object=rightangle&$A$ $B$ $C$&\\[.5em] + + &object=vecteur&&\\ + &definition&&\\ + &\£=addv&$A$ $B$&\\ + &\£=mulv&$u$ $k$&\\ + &\£=normalize&$u$&\\ + &\£=orthovecteur&$u$&\\ + &\£=subv&$u$ $v$&\\ + &\£=vecteur&$A$ $B$&\\ + \hline + +axe& + \textbackslash{}psSolid&&\\[.5em] + &object=\_cylindre\|prisme\|ruban&$x$ $y$ $z$&0 0 1\\ + \hline + +axesboxed& + \textbackslash{}psSolid&boolean&false\\ + \hline + +axisemph& + \textbackslash{}axesIIID&\{text style\}&\\ + \hline + +axisnames& + \textbackslash{}axesIIID&\{a,b,c\}&\{x,y,z\}\\ + \hline + +base& + \textbackslash{}psSolid&&\\[.5em] + &object=face\|prisme\|ruban&$x_1$ $y_1$ $x_2$ $y_2$ $x_3$ $y_3$ ... + $x_n$ $y_n$&\begin{tabular}[t]{rr} -1 & -1\\ 1 & -1\\ 0 & 1\end{tabular}\\ + &object=fusion&$S_1$ $S_2$&\\ + &object=grille&$x_{\textrm{\upshape\scriptsize min}}$ + $x_{\textrm{\upshape\scriptsize max}}$ + $y_{\textrm{\upshape\scriptsize min}}$ $y_{\textrm{\upshape\scriptsize max}}$&\\ + \hline + +biface& + \textbackslash{}psSolid&&\\[.5em] + &object=face&boolean&true\\ + \hline + +chanfrein& + \textbackslash{}psSolid&boolean&false\\ + \hline + +chanfrein\-coeff& + \textbackslash{}psSolid&value&0.2\\ + \hline + +deactiv\-atecolor& + \textbackslash{}psSolid&boolean&false\\ + \hline + +decal& + \textbackslash{}psSolid&num&-2\\ + \hline + +definition& + \textbackslash{}psSolid&&\\[.5em] + &object=plan& + \upshape\ttfamily + equation\|normalpoint\|solidface&\\[.5em] + &object=point& + \upshape\ttfamily + addv3d\|barycentre3d\|hompoint3d\|isobarycentre3d\|milieu3d\|% + orthoprojplane3d\|rotateOpoint3d\|scaleOpoint3d\|solidcentreface\|% + solidgetsommets&\\ + &&&\\[-.6em] + &object=vecteur& + \upshape\ttfamily + vecteur3d\|addv3d\|subv3d\|mulv3d\|normalize3d\|vectprod3d&{}\\ + &&&\\[-.6em] +definition& + \textbackslash{}psProjection&&\\[.5em] + &object=cercle& + \upshape\ttfamily + ABcercle\|diamcercle&\\ + &&&\\[-.6em] + &object=droite& + \upshape\ttfamily + axesymdroite\|bissectrice\|horizontale\|mediatrice\|% + paral\|perp\|rotatedroite\|translatedroite\|% + verticale&\\ +% &&&\\[-.6em] + &object=point& + \upshape\ttfamily + axesympoint\|cpoint\|hompoint\|interdroite\|interdroitecercle\|% + milieu\|orthoproj\|parellelopoint\|projx\|projy\|rotatepoint\|% + sympoint\|translatepoint\|xdpoint\|ydpoint&\\ +% &&&\\[-.6em] + &object=polygone& + \upshape\ttfamily + axesympol\|hompol\|rotatepol\|sympol\|% + translatepol&\\ +% &&&\\[-.6em] + &object=vecteur& + \upshape\ttfamily + addv\|normalize\|mulv\|orthovecteur\|subv\|vecteur&\\ +\hline + +dualreg& + \textbackslash{}psSolid&&\\[.5em] + &object=geode&boolean&false\\ + \hline + +faces& + \textbackslash{}psSolid&&\\[.5em] + &object=new&\{\[$i_1$ $i_2$ ... $i_n$ \]\[$i_1'$ $i_2'$ ... $i_m'$ \] ... \}&\\ + \hline + +fcol& + \textbackslash{}psSolid& $i_0$ \($color_0$\) $i_1$ \($color_1$\) ...&\\ + \hline + +fcolor& + \textbackslash{}psSolid&&\\[.5em] + &affinagerm& color &\\ + \hline + +file& + \textbackslash{}psSolid&&\\[.5em] + &action=writesolid&filename&\\[.5em] + &object=datfile\|objfile\|offfile&filename&\\ + \hline + +fillcolor& + \textbackslash{}psSolid, \textbackslash{}psSurface&color&white\\ + \hline + +function& + \textbackslash{}psSolid, \textbackslash{}defFunction&&\\[.5em] + &object=cone\|courbe\|courbeR2\|cylindre\|surfaceparametree&name&\\ + \hline + +grid& + \textbackslash{}psSolid&boolean&true\\ + \hline + +h& + \textbackslash{}psSolid&&\\[.5em] + &object=cone\|cylindre\|prisme\|tronccone&length&6\\ + \hline + +hollow& + \textbackslash{}psSolid&&\\[.5em] + &object=cone\|cylindre\|prisme\|tronccone&boolean&false\\ + \hline + +hue,& + \textbackslash{}psSolid, \textbackslash{}psSurface&$h_0$ $h_1$&\\ +inhue, &&$h_0$ $h_1$ $s$ $b$&\\ +inouthue &&$h_0$ $s_0$ $b_0$ $h_1$ $s_1$ $b_1$ \kwd{(hsb)}&\\ + &&$r_0$ $g_0$ $b_0$ $r_1$ $g_1$ $b_1$&\\ + &&$c_0$ $m_0$ $y_0$ $k_0$ $c_1$ $m_1$ $y_1$ $k_1$&\\ + &&\(color$_1$\) \(color$_2$\)&\\ + \hline + +incolor& + \textbackslash{}psSolid, \textbackslash{}psSurface&color&green\\ + \hline + + +intersec\-tioncolor& + \textbackslash{}psSolid&\(color$_1$\) ... \(color$_n$\)&(rouge)\\ + \hline + +intersec\-tionline\-width& + \textbackslash{}psSolid&$w_1$ ... $w_n$&1\\ + \hline + +intersec\-tionplan& + \textbackslash{}psSolid, \textbackslash{}psSurface&name \~ \{eq$_1$ ... eq$_n$\} + \textrm{\upshape where eq$_i$=}\[$a_i$ $b_i$ $c_i$ $d_i$\]&\\ + \hline + +labelsep& + \textbackslash{}axesIIID&length[unit]&\\ + \hline + + +light\-intensity& + \textbackslash{}psSolid, \textbackslash{}psSurface&value&2\\ + \hline + +lightsrc& + \textbackslash{}psSolid, \textbackslash{}psSurface&$x$ $y$ $z$&20 30 50\\ + \hline + +load& + \textbackslash{}psSolid&&\\[.5em] + &object=load&name&\\ + \hline + +mathLabel& + \textbackslash{}axesIIID&boolean&true\\ + \hline + +mode& + \textbackslash{}psSolid& + \upshape\ttfamily + 0\|1\|2\|3\|4&0\\ + \hline + +name& + \textbackslash{}psSolid, \textbackslash{}psProjection&name&\\ + \hline + +ngrid& + \textbackslash{}psSolid&&\\[.5em] + &object=cube\|prisme\|prismecreux&$n_1$&\\ + &&&\\[-0.6em] + &object=cone\|conecreux\|cylindre\|cylindrecreux\|% + tore\|tronccone\|troncconecreux&$n_1$ $n_2$&\\ + &&&\\[-0.6em] + &object=grille\|surface\|surface*\|surfaceparametree&$n_1$\~ $n_1$ $n_2$&\\ + \hline + +num& + \textbackslash{}psSolid&\kwd{all} \~ $i_0$ $i_1$ ... $i_n$&\\ + \hline + +object& + \textbackslash{}psSolid& + \upshape\ttfamily + new\|anneau\|calottesphere\|cone\|conecreux\|cube\|% + cylindre\|cylindrecreux\|datfile\|dodecahedron\|face\|% + fusion\|geode\|grille\|icosahedron\|load\|octahedron\|% + objfile\|parallelepiped\|plan\|prisme\|ruban\|% + sphere\|surfaceparametree\|tetrahedron\|% + tore\|tronccone\|troncconecreux&\\ + &&&\\[-0.6em] +object& + \textbackslash{}psProjection& + \upshape\ttfamily + cercle\|courbe\|courbeR2\|droite\|line\|point\|polygone\|% + rightangle\|texte\|vecteur&\\ + \hline + + +opacity& + \textbackslash{}psSolid&value&1\\ + \hline + +origine& + \textbackslash{}psSolid&&\\[.5em] + &object=plan&$x_0$ $y_0$ $z_0$&0 0 0\\ + \hline + +path& + \textbackslash{}psProjection&pscode&newpath 0 0 moveto\\ + \hline + +phi& + \textbackslash{}psSolid, \textbackslash{}psProjection&$\alpha$&0\\ + \hline + +plangrid& + \textbackslash{}psSolid&&\\[.5em] + &object=plan&boolean&false\\ + \hline + +planmarks& + \textbackslash{}psSolid&&\\[.5em] + &object=plan&boolean&false\\ + \hline + +plansection& + \textbackslash{}psSolid&\{plan$_1$ ... plan$_n$\} \textrm{\upshape where + plan$_i$=}\[$a_i$ $b_i$ $c_i$ $d_i$\]&\\ + \hline + +plansepare& + \textbackslash{}psSolid&\{\[a b c d \]\}&\\ + \hline + +\pagebreak + +pos& + \textbackslash{}psProjection&&\\[0.5em] + &object=point& + \upshape\ttfamily + ul\~cl\~bl\~dl\~ub\~cb\~bb\~db\~uc\~cc\~bc\~dc\~ur\~cr\~br\~dr&cc\\ + \hline + +QZ& + \textbackslash{}psSolid, \textbackslash{}psSurface&value&0\\ + \hline + +RotX, RotY, RotZ& + \textbackslash{}psSolid&$\alpha$&0\\ + \hline + +r& + \textbackslash{}psSolid&&\\[.5em] + &object=courbe&length&2\\ + \hline + +r0& + \textbackslash{}psSolid&&\\[.5em] + &object=anneau\|tore\|troncone\|troncconecreux&length&1.5\\ + \hline + +r1& + \textbackslash{}psSolid&&\\[.5em] + &object=anneau\|tore\|troncone\|troncconecreux&length&4\\ + \hline + +range& + \textbackslash{}psSolid&&\\[.5em] + &object=cercle\|courbe\|courbeR2&$t_{\textrm{\upshape\scriptsize min}}$ + $t_{\textrm{\upshape\scriptsize max}}$&-5 5\\ + &&&\\[-0.6em] + &object=surfacepara\-metree&$u_{\textrm{\upshape\scriptsize min}}$ + $u_{\textrm{\upshape\scriptsize max}}$ + $v_{\textrm{\upshape\scriptsize min}}$ $v_{\textrm{\upshape\scriptsize max}}$&\\ + \hline + +resolution& + \textbackslash{}psSolid&&\\[.5em] + &object=courbe\|courbeR2\|ruban&$n$&36\\ + \hline + +rm& + \textbackslash{}psSolid&$i_0$ $i_1$ ... $i_n$&\\ + \hline + +section& + \textbackslash{}psSolid&&\\[.5em] + &object=anneau¯o\{pscode\}&\textbackslash{}Section\\ + \hline + +show& + \textbackslash{}psSolid&\kwd{all} \~ $i_0$ $i_1$ ... $i_n$&\\ + \hline + +showBase& + \textbackslash{}psSolid&&\\[.5em] + &object=plan&boolean&false\\ + \hline + +showbase& + \textbackslash{}psSolid&&\\[.5em] + &object=plan&boolean&false\\ + \hline + +showOrigin& + \textbackslash{}axesIIID&boolean&true\\ + \hline + +sommets& + \textbackslash{}psSolid&&\\[.5em] + &object=new&$x_1$ $y_1$ $z_1$ $x_2$ $y_2$ $z_2$ ... $x_n$ $y_n$ $z_n$&\\ + \hline + +spotX,spotY, spotZ& + \textbackslash{}psSurface, \textbackslash{}gridIIID& + \upshape\ttfamily + u\~ul\~l\~dl\~d\~dr\~r\~ur&\\ + \hline + +stepX,stepY, stepZ& + \textbackslash{}gridIIID&$n$&1\\[.5em] + \hline + +text& + \textbackslash{}psProjection&&\\[0.5em] + &object=point&string&\\ + \hline + +theta& + \textbackslash{}psSolid&&\\[.5em] + &object=calottesphere&$\alpha$&90\\ + \hline + +ticklength& + \textbackslash{}gridIIID&$length$&0.2\\[.5em] + \hline + +transform& + \textbackslash{}psSolid, \textbackslash{}defFunction + &\{pscode\}\~function&\\[.5em] + \hline + +trunc& + \textbackslash{}psSolid& + \kwd{all} \~ $i_0$ $i_1$ ... $i_n$&\\ + \hline + +trunccoeff& + \textbackslash{}psSolid&value&0.2\\ + \hline + + +viewpoint& + \textbackslash{}psset&$x$ $y$ $z$ \~ $r$ $\theta$ $\phi$ + \kwd{rtp2xyz} + &10 10 10\\ + \hline + +visibility& + \textbackslash{}psSolid, \textbackslash{}psProjection&boolean&true\\ + \hline + + +Zmin& + \textbackslash{}psSurface, \textbackslash{}gridIIID&value&-4\\ + \hline + +Zmax& + \textbackslash{}psSurface, \textbackslash{}gridIIID&value&4\\ + +\end{longtable} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-ligne3D_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-ligne3D_en_corr.tex new file mode 100644 index 00000000000..b39bed99fb8 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-ligne3D_en_corr.tex @@ -0,0 +1,38 @@ +\section{Drawing a line} + +This command is adapted from the macro \verb+\pstThreeDLine+ from the package +\texttt{pst-3dplot} of Herbert \textsc{Voss}% +\footnote{\url{http://tug.ctan.org/tex-archive/graphics/pstricks/contrib/pst-3dplot}.} + +One uses \texttt{\textbackslash psLineIIID[options](x0,y0,z0)(x1,y1,z1)\ldots(xn,yn,zn)}, +with the following possible options: +\begin{itemize} + \item \texttt{linecolor=color}; + \item \texttt{doubleline=true}; + \item \texttt{linearc=value}. +\end{itemize} +It is not possible to put arrowheads at the ends of the lines. + +\begin{LTXexample}[width=6.5cm] +\psset{viewpoint=50 20 30 rtp2xyz,Decran=50} +\begin{pspicture}(-3,-4)(4,4) +\psSolid[object=cube,a=4,action=draw*, + fillcolor=magenta!20]% +\psLineIIID[linecolor=blue, + linewidth=0.1,linearc=0.5, + doubleline=true](-2,-2,-2)(2,2,2)(2,2,-2)(2,-2,0) +\psPoint(2,-2,0){A}\psPoint(-2,-2,-2){B} +\psPoint(2,2,2){C}\psPoint(2,2,-2){D} +\psdot[dotsize=0.2](A)\psdot[dotsize=0.2](B) +\psdot[dotsize=0.2](C)\psdot[dotsize=0.2](D) +\psLineIIID[linecolor=green]% + (-2,-2,-2)(2,2,2)(2,2,-2)(2,-2,0) +\psPolygonIIID[linecolor=red, + fillstyle=vlines,linearc=0.5, + linewidth=0.1](-2,-2,2)(-2,2,2)(2,2,2)(2,-2,2) +\axesIIID(2,2,2)(4,4,4) +\end{pspicture} +\end{LTXexample} + + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-lignedeniveau_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-lignedeniveau_en_corr.tex new file mode 100644 index 00000000000..33a3c74651a --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-lignedeniveau_en_corr.tex @@ -0,0 +1,44 @@ +\section{Lines of intersecting planes} + +For every object of the type \bs{psSolid}, it is possible to draw the lines +of intersection between a chosen solid and one or more planes. + +The numeric argument \texttt{[intersectiontype=$k$]} (value $-1$ by default) +determines whether or not to draw the intersection lines. Set to $0$, the +intersection lines are drawn. + +There are three keys to be handled: + +\begin{itemize} + +\item \texttt{[intersectionplan=\{[$eq_1$] ... [$eq_n$]\}]} +defines a list of the equations $eq_i$ of the intersecting planes. The $eq_i$ +could as well be some objects from the type \Cadre{plan} (see the related section). +\begin{equation*} + ax+by+cz+d=0 \qquad \text{that would deliver $[a\, b\, c\, d\,]$ as one of the $n$ equations} +\end{equation*} + +\item \texttt{[intersectionlinewidth=$w_1$ ... $w_n$]} +defines a list of the thickness in picas $w_i$ for each of the intersection lines. + +\item \texttt{[intersectioncolor=color$_1$ ... color$_n$]} +defines a list for the colors of the intersection lines. + +\end{itemize} + +\begin{LTXexample}[width=6cm] +\psset{lightsrc=20 -20 10,viewpoint=50 -20 10 rtp2xyz,Decran=50} +\psset{unit=0.5} +\begin{pspicture*}(-5,-4)(5,5) +\psSolid[object=cube, + intersectiontype=0, + intersectionplan={[1 0 .5 2] [1 0 .5 -1]}, + intersectionlinewidth=1 2, + intersectioncolor=(bleu) (rouge), + RotX=20,RotY=90,RotZ=30, + a=6, + action=draw*] +\end{pspicture*} +\end{LTXexample} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-modes_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-modes_en_corr.tex new file mode 100644 index 00000000000..4d9c22a5ef8 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-modes_en_corr.tex @@ -0,0 +1,50 @@ +\section{The modes} + +For some solids, there are certain gratings predefined. +One can setup the key values to \verb+[mode=0, 1, 2, 3 or 4]+ which allows to have some some gratings from very coarse \verb+[mode=0]+ up to very fine \verb+[mode=4]+. + +This permits us to have a draft version of a solid with \verb+[mode=0]+ (fewer calculations) and then refine it with \verb+[mode=4]+ for the final version. + +%% avec mode = 0 +\begin{center} +\psset{lightsrc=10 5 0,viewpoint=50 20 -40 rtp2xyz,Decran=35,unit=0.5,% + incolor=white,fillcolor=green!50,r0=5,r1=2,h=5,object=troncconecreux,r0=5,r1=2,h=5} +\begin{pspicture}(-5,-5)(5,5) +\psframe(-5,-5)(5,5) +\psSolid[mode=0]% +\rput(0,-4.5){\psframebox[fillstyle=solid,fillcolor=black]{\small \textcolor{white}{\texttt{[mode=0]}}}} +\end{pspicture} +% +\begin{pspicture}(-5,-5)(5,5) +\psframe(-5,-5)(5,5) +\psSolid[mode=1]% +\rput(0,-4.5){\psframebox[fillstyle=solid,fillcolor=black]{\small\textcolor{white}{\texttt{[mode=1]}}}} +\end{pspicture} +% +\begin{pspicture}(-5,-5)(5,5) +\psframe(-5,-5)(5,5) +\psSolid[mode=2]% +\rput(0,-4.5){\psframebox[fillstyle=solid,fillcolor=black]{\textcolor{white}{\texttt{[mode=2]}}}} +\end{pspicture} +% +\begin{pspicture}(-5,-5)(5,5) +\psframe(-5,-5)(5,5) +\psSolid[mode=3]% +\rput(0,-4.5){\psframebox[fillstyle=solid,fillcolor=black]{\textcolor{white}{\texttt{[mode=3]}}}} +\end{pspicture} +% +\begin{pspicture}(-5,-5)(5,5) +\psframe(-5,-5)(5,5) +\psSolid[mode=4]% +\rput(0,-4.5){\psframebox[fillstyle=solid,fillcolor=black]{\textcolor{white}{\texttt{[mode=4]}}}} +\end{pspicture} +% +\begin{pspicture}(-5,-5)(5,5) +\psframe(-5,-5)(5,5) +\psSolid[mode=5]% +\rput(0,-4.5){\psframebox[fillstyle=solid,fillcolor=black]{\small\textcolor{white}{\texttt{[mode=5] => [mode=4] forced}}}} +\end{pspicture} +\end{center} +%\newpage + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-new_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-new_en_corr.tex new file mode 100644 index 00000000000..a5e0a679c5e --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-new_en_corr.tex @@ -0,0 +1,142 @@ +\section{Construction from scratch} + +The object \verb+new+ constructs a solid. Two parameters are used: \verb+sommets+ +which indicates the list of coordinates of the different vertices, and \verb+faces+ which +gives the list of faces of the solid; a face is characterized by a list of the indices of its vertices, listed +in counterclockwise order +when the face is viewed from the exterior of the solid. + +\clearpage + +\subsection{Example 1: a house} +\begin{LTXexample}[width=6.5cm] +\psset{unit=0.5} +\psset{lightsrc=10 -20 50,viewpoint=50 -20 30 rtp2xyz,Decran=50} +\begin{pspicture*}(-7,-4)(7,7) +\psSolid[object=new, + sommets= + 2 4 3 -2 4 3 -2 -4 3 2 -4 3 + 2 4 0 -2 4 0 -2 -4 0 2 -4 0 + 0 4 5 0 -4 5, + faces={ + [0 1 2 3] [7 6 5 4] [0 3 7 4] + [3 9 2] [1 8 0] [8 9 3 0] + [9 8 1 2] [6 7 3 2] [2 1 5 6]}, + num=all,show=all,action=draw] +\end{pspicture*} +\end{LTXexample} + +Note that the solid \verb+new+ uses the same options as the other solids. +For example, we give the same solid as above below, using the parameters +\verb+hollow+, \verb+incolor+, \verb+fillcolor+, and \verb+rm+. + +%% example 2 +\begin{LTXexample}[width=6.5cm] +\psset{unit=0.5} +\psset{lightsrc=10 -20 50,viewpoint=50 -20 30 rtp2xyz,Decran=50} +\begin{pspicture*}(-7,-3.5)(7,7.5) +\psSolid[object=new,fillcolor=red!50,incolor=yellow, + action=draw**,hollow,rm=2, + sommets= + 2 4 3 -2 4 3 -2 -4 3 2 -4 3 + 2 4 0 -2 4 0 -2 -4 0 2 -4 0 + 0 4 5 0 -4 5, + faces={ [0 1 2 3][7 6 5 4][0 3 7 4] + [3 9 2] [1 8 0] [8 9 3 0][9 8 1 2] + [6 7 3 2][2 1 5 6]}, + num=all,show=all] +\end{pspicture*} +\end{LTXexample} + +\subsection{Example 2: a hyperboloid with a fixed radius} + +%\psset{lightsrc=10 20 30,SphericalCoor=true,viewpoint=50 20 30} +%\psset{SphericalCoor=true,viewpoint=50 20 30} + + +As always, the options of the macro \bs{psSolid} can handle Postscript code, even \textit{jps code} + +Unlike an example in pure PostScript, where we use the parameters +$a$, $b$ et $h$ which are transmitted by the options of PSTricks. +In this way one obtains a variable solid constructed from scratch. + +Remark: the code being used comes from a jps source used in practice, as in: + +\noindent\url{http://melusine.eu.org/lab/bjps/solide/tour.jps} +\begin{LTXexample}[width=6.5cm] +\psset{unit=0.75} +\psset{lightsrc=10 -20 50,viewpoint=50 -20 30 rtp2xyz,Decran=50} +\begin{pspicture*}(-5,-5)(3,5) +\psSolid[object=new,fillcolor=red!50,incolor=yellow, + hollow, a=10, %% nb d'etages + b=20, %% diviseur de 360, nb de meridiens + h=8, %% hauteur + action=draw**,sommets= + /z0 h neg 2 div def + a -1 0 { + /k exch def + 0 1 b 1 sub { + /i exch def + /r z0 h a div k mul add dup mul 4 div 1 add sqrt def + 360 b idiv i mul cos r mul 360 b idiv i mul sin r mul + z0 h a div k mul add + } for + } for, + faces={ + 0 1 a 1 sub { + /k exch def + k b mul 1 add 1 k 1 add b mul 1 sub { + /i exch def + [i i 1 sub b i add 1 sub b i add] + } for + [k b mul k 1 add b mul 1 sub k 2 add b mul 1 sub k 1 add b mul] + } for +}] +\end{pspicture*} +\end{LTXexample} + + + +\subsection{Example 3: importing external files} + + +From a file describing a solid in a particular format (other than \texttt{.obj} or \texttt{.off}), +we can create a \texttt{.dat} file containing the coordinates of the vertices, +and another \texttt{.dat} file containing the tables of indices of the vertices on each face. +These files can then be entered as parameters \verb+sommets+ and \verb+faces+ +when using the Postscript instruction \verb+run+. + + +In the example below, the files \verb+sommets_nefer.dat+ +and \verb+faces_nefer.dat+ have been placed in the directory of the compiler. + +\begin{LTXexample}[width=5.5cm] +\psset{unit=0.4} +\definecolor{AntiqueWhite}{rgb}{0.98,0.92,0.84} +\begin{pspicture}(-7,-9)(7,7) +\psset{lightsrc=30 -40 10} +\psset{viewpoint=50 -50 20 rtp2xyz,Decran=50} +\psset{RotX=90,sommets= (sommets_nefer.dat) run} +\psSolid[object=new,fillcolor=AntiqueWhite,linewidth=0.5\pslinewidth, + faces={(faces_nefer.dat) run}]% +\psSolid[object=new,fillcolor=red,linewidth=0.5\pslinewidth, + faces={(faces_nefer_levres.dat) run}]% +\psSolid[object=new,fillcolor=black, + faces={(faces_nefer_sourcils.dat) run}]% +\end{pspicture} +\hfill +\begin{pspicture}(-7,-9)(7,7) +\psset{lightsrc=-10 -40 -5,lightintensity=.5} +\psset{viewpoint=50 -80 10 rtp2xyz,Decran=50} +\psset{RotX=90,RotZ=30,sommets= (sommets_nefer.dat) run} +\psSolid[object=new,fillcolor=AntiqueWhite,linewidth=0.5\pslinewidth, + grid,faces={(faces_nefer.dat) run}] +\psSolid[object=new,fillcolor=red,linewidth=0.5\pslinewidth,grid, + faces={(faces_nefer_levres.dat) run}] +\psSolid[object=new,fillcolor=black, + faces={(faces_nefer_sourcils.dat) run}] +\end{pspicture} +\end{LTXexample} + + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-nommersolide_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-nommersolide_en_corr.tex new file mode 100644 index 00000000000..f744dc9c7f8 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-nommersolide_en_corr.tex @@ -0,0 +1,62 @@ +\section{Naming a solid} + +For certain purposes, it is helpful to save a solid in working +storage to allow it to be referenced later on. To do so, we +activate the Boolean \verb+solidmemory+, which allows the +transmission of a variable throughout the code. + +Consequently, activation of this Boolean deactivates drawing +by the macros \bs{psSolid}, \bs{psSurface} and \bs{psProjection} +immediate. To obtain the drawing, we use the macro +\verb+\composeSolid+ at the end of the code. + +When \verb+\psset{solidmemory}+ is set up, we can use the option +\verb+[name=...]+ of the macro \bs{psSolid}. + +In the example below, a coloured solid is constructed, which is +named $A$. It is drawn using the object \verb+[object=cube]+ with +the parameter \texttt{[load=$A$]}. + +Note that \verb+linecolor=blue+, used while constructing our cube, +has no effect on the drawing: only the structure of the solid is +stored (vertices, faces, colours of faces), not the thickness of +any line, nor its colour, nor the position of the light source. +The settings of those parameters are taken into account at the +time the solid is rendered. + + +Finally, we demonstrate the use of the option +\verb+[deactivatecolor]+ which allows the cube to keep its +original red colour (otherwise the default colours would be used +within the object \verb+load+). + +\psset{lightsrc=10 0 10,viewpoint=50 -20 10 rtp2xyz,Decran=50} +\begin{LTXexample}[width=6.5cm] +\psset{unit=0.75} +\begin{pspicture*}(-4,-4)(5,4) +\psset{solidmemory} +\psSolid[object=cube, + linecolor=blue, + a=4,fillcolor=red!50, + ngrid=3, + action=none, + name=A, + ](0,0,0) +\psSolid[object=load, + deactivatecolor, + load=A] +\composeSolid +\end{pspicture*} +\end{LTXexample} + +With the option \verb+solidmemory+, the names of variables are +relatively well encapsulated, and there will be no conflict with +the variables of the dvips driver. There remains however the risk +of a collision with the names used in the \texttt{solides.pro} +file. You could use only single letter variable names, for +example, and it is necessary to avoid names like \verb+vecteur+, +\verb+distance+, \verb+droite+, etc. which are already defined in +the package. + + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-numeroterfacettes_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-numeroterfacettes_en_corr.tex new file mode 100644 index 00000000000..3beee0d881f --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-numeroterfacettes_en_corr.tex @@ -0,0 +1,99 @@ +\section{Numbering of the faces} + +The option \verb+numfaces+ gives permission to number every face with its correspondent index number. +\begin{itemize} + \item \verb+[numfaces=all]+ all faces are numbered; + \item \verb+[numefaces=0 1 2 3]+ only the faces that have index 0, 1, 2 and 3 are numbered. +\end{itemize} +The option \verb+fontsize+ allows to fix the measurement of the used character set. +Finally, the Boolean \verb+visibility+ the numbering of faces that are not visible. +By default, the Boolean is set to \verb+[visibility=true]+, so the visibility is set up (e.~g. numbers are not set to invisible faces). + + +\psset{viewpoint=50 20 30 rtp2xyz,Decran=50} +\begin{LTXexample}[width=8cm] +\psset{unit=1} +\begin{pspicture}(-4,-3)(3,1.5) +\psSolid[object=grille, + base=0 4 -2 2, + numfaces=2 6 7 10, + linecolor=gray](0,0,0) +\axesIIID(0,0,0)(4,2,1) +\end{pspicture} +\end{LTXexample} + + + +%% \begin{multicols}{2} +%% +%% \bgroup +%% \psset{SphericalCoor=true,viewpoint=50 20 30} +%% \begin{center} +%% \psset{unit=0.75} +%% \psset{lightsrc=30 -20 10,SphericalCoor=true,viewpoint=50 -20 10,Decran=50} +%% \begin{pspicture*}(-5,-4)(6,6) +%% \psframe(-5,-4)(6,6) +%% \axesIIID(0,0,0)(4,4,4) +%% \psSolid[object=cube, +%% RotY=90, +%% ngrid=4, +%% numfaces=2 6 10, +%% action=draw**](0,0,0) +%% \end{pspicture*} +%% \end{center} +%% \egroup +%% +%% \columnbreak +%% +%% \begin{verbatim} +%% \axesIIID(0,0,0)(4,4,4) +%% \psSolid[object=cube, +%% RotY=90, +%% ngrid=4, +%% numfaces=2 6 10, +%% action=draw**](0,0,0) +%% \end{verbatim} +%% +%% \end{multicols} + + + + +\psset{viewpoint=50 -20 10 rtp2xyz,Decran=50} +\begin{LTXexample}[width=8cm] +\begin{pspicture*}(-4,-3)(4,3) +\psSolid[object=cube, + RotY=90, + ngrid=4, + fontsize=15, + action=draw, + numfaces=all,](0,0,0) +\end{pspicture*} +\end{LTXexample} + +%%% exemple 3 + +The options of \bs{psSolid} accept PostScript commands, in particular the \verb+for+ loop. + +With the instruction \verb+[numfaces=0 1 5 {} for]+ all faces with the index numbers between $0$ +and $5$ are set up. The instruction \verb+[numfaces=8 3 23 {} for]+ sets up every third index number between $8$ and $23$. + +\psset{viewpoint=50 -20 10 rtp2xyz,Decran=50} +\begin{LTXexample}[width=8cm] +\begin{pspicture*}(-4,-3)(4,3) +\axesIIID(0,0,0)(8,3,2) +\psSolid[object=grille, + RotY=90, + RotZ=180, + ngrid=1., + fontsize=15, + numfaces= + 0 1 5 {} for + 8 3 23 {} for, + base=-2 2 -3 3, + visibility=false, + action=draw](0,0,0) +\end{pspicture*} +\end{LTXexample} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-opacity_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-opacity_en_corr.tex new file mode 100644 index 00000000000..897925c763d --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-opacity_en_corr.tex @@ -0,0 +1,11 @@ +\section{Nuances of transparency} + +The key value \texttt{[opacity=$k$]} with $k \in \mathbb{R}$ and $0\leq +k\leq 1$, allows you to define the level of opacity. + +Within \textit{code jps}, we use an equivalent expression +\texttt{$k$ setfillopacity}. The last expression finds its application in the option \verb+fcol+. For example the instruction, +\verb+fcol=0 (.5 setfillopacity yellow)+, +which defines the face with the index number $0$, sets it to yellow with an opacity of 50\%. + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-parametres_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-parametres_en_corr.tex new file mode 100644 index 00000000000..34741440e2a --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-parametres_en_corr.tex @@ -0,0 +1,271 @@ +\section{The parameters of \texttt{pst-solides3d}} + +\begin{longtable}{|>{\bfseries\ttfamily\color{blue}}l + |>{\ttfamily\centering}m{2cm}|m{10cm}|} + \hline + \multicolumn{1}{|c|}{\textbf{Parameter}}& + \multicolumn{1}{c|}{\textbf{Default}}& + \multicolumn{1}{c|}{\textbf{Description}} \\ \hline\hline +\endfirsthead +\hline + \multicolumn{1}{|c|}{\textbf{Parameter}}& + \multicolumn{1}{c|}{\textbf{Default}}& + \multicolumn{1}{c|}{\textbf{Description}} \\ \hline\hline +\endhead +\multicolumn{3}{|r|}{\textit{Continued on next page}}\\ \hline +\endfoot +\multicolumn{3}{|r|}{\textit{End of table}}\\ \hline +\endlastfoot + +object&&predefined objects for use with +\texttt{\textbackslash{}psSolid} and +\texttt{\textbackslash{}psProjection}: \texttt{[object=name]} +where \texttt{name} is the type of object\\ +\hline + +viewpoint&10 10 10&the coordinates of the point of view\\ \hline + +a&2&the value of \texttt{a} has several interpretations: the edge +length of a cube, the radius of the circumscribed sphere of +regular polyhedrons, the length of one of the edges of a +parallelepiped\\ \hline + +r&2&the radius of a cylinder or sphere\\ \hline + +h&6&the height of a cylinder, cone, truncated cone, or prism\\ +\hline + +r0&1.5&the inner radius of a torus\\\hline + +r1&4&the mean radius of a torus\\ \hline + +phi&0&the lower latitude of a spherical zone\\ \hline + +theta&90&the upper latitude of a spherical zone\\ \hline + +a,b and c&4&the lengths of three incident edges of a parallelepiped\\ +\hline + +base&\begin{tabular}{rr}-1 & -1 \\ 1 & -1 \\ 0 & +1\end{tabular}&the coordinates of vertices in the $xy$-plane +for specified shapes\\ +\hline + +axe&0 0 1&the direction of the axis of inclination of a prism\\ +\hline + +action&draw**&uses the painting algorithm to draw the solid +without hidden edges and with coloured faces\\ \hline + +lightsrc&20 30 50&the Cartesian coordinates of the light source\\ +\hline + +lightintensity&2&the intensity of the light source\\ \hline + +ngrid&n1 n2& sets the grid for a chosen solid\\ \hline + +mode&0&sets a predefined grid: values are 0 to 4. +\texttt{[mode=0]} is a large grid and \texttt{[mode=4]} is a fine +grid\\ \hline + +grid& true&if \texttt{[grid]} is used then gridlines are suppressed\\ +\hline + +biface&true&draw the interior face; if you only want the exterior +shown write \texttt{[biface=false]} +\\ \hline + +algebraic&false&\texttt{[algebraic=true]} (also written as +\texttt{[algebraic]}) allows you to give the equation of a surface +in algebraic form (otherwise RPN is enabled); the package +\texttt{pstricks-add} must be loaded in the preamble\\ \hline + +fillcolor&white&specifies a colour for the outer faces of a +solid\\ \hline + +incolor&green&specifies a colour for the inner faces of a solid\\ +\hline + +hue&&the colour gradient used for the outer faces of a solid\\ +\hline + +inhue&&the colour gradient used for internal faces\\ +\hline + +inouthue&&the colour gradient used for both internal and +external faces as a single continuation\\ +\hline + +fcol&&permits you to specify, in order of face number $0$ to $n-1$ +(for $n$ faces) the colour of the appropriate face:\par +\texttt{[fcol=0 (Apricot) 1 (Aquamarine) etc.]}\\ \hline + +rm&&removes visible faces: \texttt{[rm=1 2 8]} removes faces 1, 2 +and 8 \\ \hline + +show&&determines which vertices are shown as points: +\texttt{[show=0 1 2 3]} shows the vertices 0, 1, 2 and 3, +\texttt{[show=all]} shows all the vertices\\ \hline + +num&&numbers the vertices; for example \texttt{[num=0 1 2 3]} +numbers the vertices 0,1,2 and 3, and \texttt{[num=all]} numbers +all the vertices\\ \hline + +name&&the name given to a solid\\ \hline + +solidname&&the name of the active solid\\ \hline + +RotX&0&the angle of rotation of the solid around $Ox$ (in +degrees)\\ \hline + +RotY&0&the angle of rotation of the solid around $Oy$ (in +degrees)\\ \hline + +RotZ&0&the angle of rotation of the solid around $Oz$ (in +degrees)\\ \hline + +hollow&false& draws the inside of hollow solids: cylinder, cone, +truncated cone and prism\\ \hline + +decal&-2&reassign the index numbers of the vertices within a \texttt{base}\\ +\hline + +axesboxed& false& this option for surfaces allows semi-automatic +drawing of the 3D coordinate axes, since the limits of $z$ must be +set by +hand; enabled with \texttt{[axesboxed]}\\ +\hline + +Zmin&$-4$& the minimum value of $z$\\ \hline + +Zmax&$4$& the maximum value of $z$\\ \hline + +QZ&$0$& shifts the coordinate axes vertically by the chosen value\\ +\hline + +spotX&dr&the position of the tick labels on the $x$-axis\\ \hline + +spotY&dl&the position of the tick labels on the $y$-axis\\ \hline + +spotZ&l&the position of the tick labels on the $z$-axis\\ \hline + +resolution&36&the number of points used to draw a curve\\ \hline + +range&-4 4 &the limits for function input\\ \hline + +function& f & the name given to a function\\ \hline + +path&newpath \par 0 0 moveto& the projected path\\ \hline + +%normal&0 0 1&the normal to the surface being defined\\ \hline + +text&&the projected text\\ \hline + +visibility&false& if \texttt{false} the text applied to a hidden +face is +not rendered\\ +\hline + +chanfreincoeff&0.2&the chamfering coefficient\\ \hline + +trunccoeff&0.25&the truncation coefficient\\ \hline + +dualregcoeff&1&the dual solid coefficient\\ \hline %%%% is this used anywhere? + +affinagecoeff&0.8&the hollowing coefficient\\ \hline + +affinage& & determines which faces are hollowed out: +\texttt{[affinage=0 1 2 3]} recesses faces 0, 1, 2 and 3, +\texttt{[affinage=all]} recesses all faces\\ \hline + +affinagerm& &keep the central part of hollowed out faces\\ \hline + +intersectiontype&-1&the type of intersection between a plane and a +solid; a positive value draws the intersection\\ \hline + +plansection&&list of equations of intersecting planes, when used +only for their intersections \\ +\hline + +plansepare&&the equation of the separating plane for a solid\\ +\hline + +{\small intersectionlinewidth}&1&the thickness of an intersection +in \texttt{pt}; if there are several inter\-sections of different +thicknesses then list them like so:\par +\texttt{[intersectionlinewidth=1 1.5 1.8 etc.]}\\ +\hline + +intersectioncolor&(rouge)&the colour used for intersections; if +several inter\-sections in different colours are required, list +them as follows:\par \texttt{[intersectioncolor=(rouge) (vert) etc.]}\\ +\hline + +intersectionplan&[0 0 1 0]&the equation of the intersecting +plane\\ \hline + +definition&&defines a point, a vector, a plane, a spherical arc, +etc.\\ \hline + +args&&arguments associated with \texttt{definition}\\ +\hline + +section&\textbackslash Section&the coordinates of the vertices of +a cross-section of a solid ring\\ \hline + +planmarks&false&scales the axes of the plane\\ \hline + +plangrid&false&draws the coordinate axes of the plane \\ \hline + +showbase&false&draws the unit vectors of the plane\\ \hline + +showBase&false&draws the unit vectors of the plane and the normal +vector to the plane\\ \hline + +deactivatecolor&false&disables the colour management of PSTricks\\ +\hline + +transform&&a formula, applied to the vertices of a solid, to +transform it\\ \hline + +axisnames&\{x,y,z\}&the labels of the axes in 3D\\ \hline + +axisemph&&the style of the axes labels in 3D\\ \hline + +showOrigin&true&draws the axes from the origin, or not if set to +\texttt{false}\\ \hline + +mathLabel&true&draws the axes labels in math mode, or not if set +to \texttt{false}\\ \hline + +file&&the name of the data file having \texttt{.dat} extension +written with \texttt{[action=writesolid]} or read with +\texttt{[object=datfile]}\\ +\hline + +load&&the name of the object to be loaded\\ \hline + +fcolor&&the colour of the refined parts of the faces of an object\\ +\hline + +sommets&&the list of vertices of a solid for use with \texttt{[object=new]}\\ +\hline + +faces&&the list of faces of a solid for use with \texttt{[object=new]}\\ +\hline + +stepX&1&a positive integer giving the interval between ticks on +the $x$-axis of \texttt{\textbackslash{}gridIIID}\\ \hline + +stepY&1&a positive integer giving the interval between ticks on +the $y$-axis of \texttt{\textbackslash{}gridIIID}\\ \hline + +stepZ&1&a positive integer giving the interval between ticks on +the $z$-axis of \texttt{\textbackslash{}gridIIID}\\ \hline + +ticklength&0.2&the length of tickmarks for +\texttt{\textbackslash{}gridIIID}\\ \hline + +\end{longtable} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-plan_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-plan_en_corr.tex new file mode 100644 index 00000000000..5af21b8e555 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-plan_en_corr.tex @@ -0,0 +1,364 @@ +\section{The object \texttt{plan}} + +\subsection{Presentation: type \texttt{plan\/} and type \texttt{solid} } + +The object +\verb+plan+ is special in +\texttt{pst-solides3d}. However, all the objects presented until now have had a common structure: + they are of type \verb+solid+: in other words, they are defined by a list of vertices, faces and colours. + +For many applications, it is necessary to have some additional information for a plane: an origin, an +orientation, a reference base etc. + +To fulfill all these requirements, another +data structure of type \verb+plan+ was created, which allows one to save all this necessary information. These manipulations of the plane will be controlled +by such an object. +Only when rendering takes place will an object of type \verb+plan+ be converted to an object of type \verb+solid+ which conforms to the macro \bs{psSolid}. + +An object of type \verb+plan+ is used to describe an oriented affine plane. +For a complete definition of such an object, + an origin +$I$, a basis $(\vec u, \vec v)$ for that plane, a scaling of the axis $(I, \vec u)$ and a scaling of the axis +$(I, \vec v)$ are needed. +In addition, we can specify the fineness of the grid---in other words, the number of faces---used to represent that portion of the affine plane +while transforming in an object of the type \verb+solid+.%I'm confused by this last phrase. + +This type of object can be used to define planes of section; it is then necessary to define a plane for projection.%check if this keeps your sense + +Its usage is quite easy to understand for users of PSTricks. +The only thing that you need to know is that, if we manipulate a +\verb+[object=plan]+ with the macro \bs{psSolid}, we manipulate two objects at the same time: one of type \verb+plan+ and +the other of type \verb+solid+. When we select a backup +of that object (see chapter ``\textit{Advanced usage}'') with the name $monplan$ for example with the option \verb+[name=monplan]+, there are +in fact $2$ backups that are effected. +The first, with the name $monplan$, is an object of type \verb+plan+, and the second, with the name $monplan\_s$, is an object of type \verb+solid+. + + +\subsection{Defining an oriented plane} + +To generate such an object, one uses \verb+[object=plan]+ which comes with a few arguments: + +\begin{itemize} + +\item \verb+[definition=...]+ which specifies the method to defining the plane. + +\item \verb+[args=...]+ which specifies the necessary arguments for the method chosen. + +\item \texttt{[bases=$xmin$ $xmax$ $ymin$ $ymax$]} which specifies the dimensions of each axis. + +\item \verb+[phi]+ (value $0$ by default) which specifies the angle of rotation (in degrees) of the plane around its normal. + + + +\end{itemize} + +\subsection{Special options} + +The object \verb+plan+ comes with some special options for viewing: +\begin{itemize} +\item \verb+[planmarks]+ which shows axes and scaling (with ticks), +\item \verb+[plangrid]+ which shows the grid, +\item \verb+[showbase]+ which shows the basis vectors for the plane, and +\item \verb+[showBase]+ (note the capital letters) which shows the basis vectors of the plane +and draws the associated normal vector. +\end{itemize} +These options apply regardless of the method of definition of the plane. + +\begin{center} +\psset{unit=0.4} +\psset{viewpoint=10 18 60 rtp2xyz,Decran=10,fontsize=10} +\begin{pspicture*}(-5,-4)(6,4) +\psframe(-5,-4)(5,3) +\psSolid[object=plan, + definition=equation, + args={[0 0 1 0]}, + fillcolor=Aquamarine, + base=-2.2 2.2 -3.2 3.2] +\end{pspicture*} +%% +\psset{unit=1} +\psset{viewpoint=10 18 60 rtp2xyz,Decran=10,fontsize=10} +\begin{pspicture*}(-5,-4)(6,4) +\psframe(-5,-4)(5,3) +\psSolid[object=plan, + definition=equation, + args={[0 0 1 0]}, + fillcolor=Aquamarine, + base=-2.2 2.2 -3.2 3.2, + planmarks] +\end{pspicture*} +%% +\psset{unit=1} +\psset{viewpoint=10 18 60 rtp2xyz,Decran=10,fontsize=10} +\begin{pspicture*}(-5,-4)(6,4) +\psframe(-5,-4)(5,3) +\psSolid[object=plan, + definition=equation, + args={[0 0 1 0]}, + fillcolor=Aquamarine, + base=-2.2 2.2 -3.2 3.2, + plangrid] +\end{pspicture*} +%% +\psset{unit=1} +\psset{viewpoint=10 18 60 rtp2xyz,Decran=10,fontsize=10} +\begin{pspicture*}(-5,-4)(6,4) +\psframe(-5,-4)(5,3) +\psSolid[object=plan, + definition=equation, + args={[0 0 1 0]}, + fillcolor=Aquamarine, + base=-2.2 2.2 -3.2 3.2, + showbase] +\end{pspicture*} +%% +\psset{unit=1} +\psset{viewpoint=10 18 60 rtp2xyz,Decran=10,fontsize=10} +\begin{pspicture*}(-5,-4)(6,4) +\psframe(-5,-4)(5,3) +\psSolid[object=plan, + definition=equation, + args={[0 0 1 0]}, + fillcolor=Aquamarine, + base=-2.2 2.2 -3.2 3.2, + showBase] +\end{pspicture*} +%% +\psset{unit=1} +\psset{viewpoint=10 18 60 rtp2xyz,Decran=10,fontsize=10} +\begin{pspicture*}(-5,-4)(6,4) +\psframe(-5,-4)(5,3) +\psSolid[object=plan, + definition=equation, + args={[0 0 1 0]}, + fillcolor=Aquamarine, + base=-2.2 2.2 -3.2 3.2, + plangrid, + showBase, + action=none +] +\end{pspicture*} +\end{center} + +These options can be used, even if the plane is not drawn. + +\subsection{Defining a plane with a cartesian equation} + +The \textit{cartesian equation} of a plane is of the form +\[ + ax+by+cz+d=0 +\] +The coefficients $a$, $b$, $c$ and $d$ determine an affine plane. + +\subsubsection{Usage with default orientation and origin} + +To define an affine plane, one can use +\verb+[definition=equation]+, and \texttt{[args=\{[$a$ $b$ $c$ +$d$]\}]}. The orientation and origin of the affine plane must be given. + +For example, the quadruple $(a, b, c, d) = (0, 0, 1, 0)$ determines +the plane with the equation $z=0$: + +\begin{LTXexample}[width=6.5cm] +\psset{viewpoint=10 18 60 rtp2xyz,Decran=10, + fontsize=10,unit=0.65} +\begin{pspicture*}(-5,-4)(5,4) +\psSolid[object=plan, + definition=equation, + args={[0 0 1 0]}, + fillcolor=Aquamarine, + planmarks, + base=-2.2 2.2 -3.2 3.2, + showbase] +\axesIIID(0,0,0)(2.2,3.2,4) +\end{pspicture*} +\end{LTXexample} + +The parameter \texttt{[base=xmin xmax ymin ymax]} specifies the extent along each axis. + +\subsubsection{Specifying the origin} + +The parameter \texttt{[origine=$x_0$ $y_0$ $z_0$]} specifies +the origin of the affine plane. +If the chosen point $(x_0, y_0, z_0)$ doesn't fit the equation of the plane, it will be ignored.% The meaning of this is unclear to me. + +For example, a plane with the equation $z=0$ for which $(1, 2, 0)$ has been chosen as a possible origin:%(finish the sentence---it does what?) + + +\begin{LTXexample}[width=6.5cm] +\psset{viewpoint=10 18 60 rtp2xyz,Decran=10, + fontsize=10,unit=0.65cm} +\begin{pspicture*}(-4,-5.5)(6,4) +\psSolid[object=plan, + definition=equation, + args={[0 0 1 0]}, + fillcolor=Aquamarine, + origine=1 2 0, + base=-2.2 2.2 -3.2 3.2, + planmarks] +\axesIIID(0,0,0)(2.2,3.2,4) +\end{pspicture*} +\end{LTXexample} + + +\subsubsection{Specifying the orientation} + +If the chosen orientation is unsatisfactory, +we can specify an angle of rotation $\alpha $ (in degrees) around the normal of the plane with the syntax +\texttt{[args=\{[a b c d] $\alpha $\}]}. + + +\begin{LTXexample}[width=6.5cm] +\psset{viewpoint=10 18 60 rtp2xyz, + Decran=10,fontsize=10,unit=0.65cm} +\begin{pspicture*}(-5,-4)(5,4) +\psSolid[object=plan, + definition=equation, + args={[0 0 1 0] 90}, + fillcolor=Aquamarine, + base=-2.2 2.2 -3.2 3.2, + planmarks] +\axesIIID(0,0,0)(3.2,2.2,4) +\end{pspicture*} +\end{LTXexample} + + +\subsection{Defining a plane using a normal vector and a point} + +It is also possible to define a plane by giving a point and a normal vector. + In this case one uses the parameter \verb+[definition=normalpoint]+. + +If wanted, we can specify the orientation, but it can be omitted. + +\subsubsection{First Method: orientation Unspecified} + +We use \texttt{[args=\{$x_0$ $y_0$ $z_0$ [$a$ $b$ $c$]\}]} where $(x_0, +y_0, z_0)$ is the origin of the affine plane, and $(a, b, c)$ is a vector normal to that plane. + + +\begin{LTXexample}[width=6.5cm] +\psset{viewpoint=10 18 60 rtp2xyz, + Decran=10,fontsize=10,unit=0.65cm} +\begin{pspicture*}(-5,-4)(5,4) +\psSolid[object=plan, + definition=normalpoint, + args={0 0 0 [0 0 1]}, + fillcolor=Aquamarine, + planmarks, + base=-2.2 2.2 -3.2 3.2, + showbase] +\axesIIID(0,0,0)(2.2,3.2,4) +\end{pspicture*} +\end{LTXexample} + + +\subsubsection{Second Method: Specifying an angle of rotation} + +One uses \texttt{[args=\{$x_0$ $y_0$ $z_0$ [$a$ $b$ $c$ $\alpha +$]\}]} where $(x_0, y_0, z_0)$ is the origin of the affine plane, $(a, b, +c)$ a normal vector of that plane, and $\alpha $ the angle of rotation (in +degrees) around the normal vector of that plane. + + + +\begin{LTXexample}[width=6.5cm] +\psset{viewpoint=10 18 60 rtp2xyz, + Decran=10,fontsize=10,unit=0.65} +\begin{pspicture*}(-5,-4)(5,4) +\psSolid[object=plan, + definition=normalpoint, + args={0 0 0 [0 0 1 45]}, + fillcolor=Aquamarine, + planmarks, + base=-2.2 2.2 -3.2 3.2, + showbase] +\axesIIID(0,0,0)(2.2,3.2,4) +\end{pspicture*} +\end{LTXexample} + + +\subsubsection{Third Method: Specifying the first basis vector} + +One uses \texttt{[args=\{$x_0$ $y_0$ $z_0$ [$u_x$ $u_y$ $u_z$ $a$ $b$ +$c$ ]\}]} where $(x_0, y_0, z_0)$ is the origin of the affine plane, +$(a, b, c)$ a normal vector of that plane, and $(u_x, u_y, u_z)$ the first basis vector for that plane. + + +\begin{LTXexample}[width=6.5cm] +\psset{viewpoint=10 18 60 rtp2xyz, + Decran=10,fontsize=10,unit=0.65cm} +\begin{pspicture*}(-5,-4)(5,4) +\psSolid[object=plan, + definition=normalpoint, + args={0 0 0 [1 1 0 0 0 1]}, + fillcolor=Aquamarine, + planmarks, + base=-2.2 2.2 -3.2 3.2, + showbase, +] +\axesIIID(0,0,0)(2.2,3.2,4) +\end{pspicture*} +\end{LTXexample} + + +\subsubsection{Fourth Method: Specifying the first basis vector and an angle of rotation} + +We use \texttt{[args=\{$x_0$ $y_0$ $z_0$ [$u_x$ $u_y$ $u_z$ $a$ $b$ +$c$ $\alpha $]\}]} where $(x_0, y_0, z_0)$ is the origin of the affine plane, +$(a, b, c)$ is a normal vector of that plane, $(u_x, u_y, u_z)$ is the first basis vector for that plane and $\alpha $ (in degrees) is a rotation around the axis of the normal vector. + + +\begin{LTXexample}[width=6.5cm] +\psset{viewpoint=10 18 60 rtp2xyz, + Decran=10,fontsize=10,unit=0.65cm} +\begin{pspicture*}(-5,-4)(5,4) +\psSolid[object=plan, + definition=normalpoint, + args={0 0 0 [1 1 0 0 0 1 45]}, + fillcolor=Aquamarine, + planmarks, + base=-2.2 2.2 -3.2 3.2, + showbase] +\axesIIID(0,0,0)(2.2,3.2,4) +\end{pspicture*} +\end{LTXexample} + + +\subsection{Defining a plane from a face of a solid} + +One uses \verb+[definition=solidface]+ with the arguments +\texttt{[args=$name$ $i$]} where $name$ is the name of the designated solid and +$i$ is the index of the face. The origin is taken as the center of the chosen face. + +In the example below, the plane is defined through the face with the index $0$ from the cube named $A$. + + +\begin{LTXexample}[width=6.5cm] +\psset{viewpoint=10 18 20 rtp2xyz,Decran=8} +\begin{pspicture}(-3.5,-2)(3,2.5) +\psset{solidmemory} +\psSolid[object=cube,a=2,fontsize=20,numfaces=all,name=A] +\psSolid[object=plan, + definition=solidface, + args=A 0, + showBase] +\end{pspicture} +\end{LTXexample} + +If the user specifies the coordinates $(x, y, z)$ within the macro +\verb+\psSolid[...](+$x,y,z$\verb+)+, a plane is generated parallel to the face with index $i$ of the solid $name$, and translated to the point $(x, y, z)$ which now is taken as the origin. + + +\begin{LTXexample}[width=6.5cm] +\psset{viewpoint=10 18 20 rtp2xyz,Decran=8} +\begin{pspicture}(-3.5,-1.5)(3,3) +\psset{solidmemory} +\psSolid[object=cube,a=2,fontsize=20,numfaces=all,name=A] +\psSolid[object=plan, + definition=solidface, + args=A 0, + showBase](0,0,2) +\end{pspicture} +\end{LTXexample} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-poems_en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-poems_en.tex new file mode 100644 index 00000000000..10348097e0e --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-poems_en.tex @@ -0,0 +1,71 @@ +\section{The poems} + +Dans ma jeunesse, j'\'{e}coutais le son de la pluie dans les maisons de plaisir ; + +les tentures frissonnaient sous la lumi\`{e}re rouge des cand\'{e}labres. + +Dans mon \^{a}ge m\^{u}r, j'ai \'{e}cout\'{e} le son de la pluie +en voyage, \`{a} bord d'un bateau ; + +les nuages pesaient bas sur l'immensit\'{e} du fleuve ; + +une oie sauvage s\'{e}par\'{e}e de ses soeurs appelait dans le vent d'ouest. + +Aujourd'hui, j'\'{e}coute le son de la pluie sous le charme d'un ermitage monastique. + +Ma t\^{e}te est chenue, chagrins et bonheurs, s\'{e}parations et retrouvailles - tout est vanit\'{e}. + +Dehors, sur les marches, les gouttes tambourinent jusqu'\`{a} l'aube. + +\begin{flushleft} +Juang Jie from \textit{Les id\'{e}es de autres} by Simon Leys +\end{flushleft} + +O cet effrayant torrent tout au fond + +O et la mer la mer \'{e}carlate quelquefois comme du feu + +Et les glorieux couchers de soleil + +Et les figuiers dans les jardins de l'Alameda + +Et toutes les ruelles bizarres + +Et les maisons roses et bleues et jaunes + +Et les roseraies et les jasmins et les g\'{e}raniums + +Et les cactus de Gibraltar quand j'\'{e}tais jeune fille + +Et une Fleur de la montagne oui + +Quand j'ai mis la rose dans mes cheveux comme les filles Andalouses + +Ou en mettrai-je une rouge oui + +Et comme il m'a embrass\'{e}e sous le mur mauresque + +Je me suis dit apr\`{e}s tout aussi bien lui qu'un autre + +Et alors je lui ai demand\'{e} avec les yeux de demander encore +oui + +Et alors il m'a demand\'{e} si je voulais oui + +Dire oui ma fleur de la montagne + +Et d'abord je lui ai mis mes bras autour de lui oui + +Et je l'ai attir\'{e} sur moi pour qu'il sente mes seins tout parfum\'{e}s oui + +Et son coeur battait comme un fou + +Et oui j'ai dit oui + +Je veux bien Oui. + +\begin{flushleft} +Monologue of \textit{Molly Bloom} from \textit{Ulysses} by James Joyce +\end{flushleft} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-point_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-point_en_corr.tex new file mode 100644 index 00000000000..69c35205f66 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-point_en_corr.tex @@ -0,0 +1,98 @@ +\section{Point} + +\subsection{Definition via coordinates} + +The object \verb+point+ defines a point. The simplest method is to use the argument \texttt{[args=$x$ $y$ $z$]} to specify its coordinates. +If we have already named a point $M(x, y, z)$ (see chapter ``\textit{Advanced usage\/}''), we can easily use the argument \texttt{[args=$M$]}. + +\subsection{Some other definitions} + +There are some other possibilities for defining a point. Here a list of possible definitions with the appropriate arguments: + +\begin{itemize} + +\item \verb+[definition=solidgetsommet]+; +\verb+args=+ $solid$ $k$. + +The vertex with index $k$ of the solid $solid$. + +\item \verb+[definition=solidcentreface]+; +\verb+args=+ $solid$ $k$. + +The centre of the face with index $k$ of the solid $solid$. + +\item \verb+[definition=isobarycentre3d]+; +\verb+args=+ + {\{$[$ $A_0$ $\ldots $ $A_{n}$ $]$\}}. %$ + + {The isobarycentre of the system $[(A_0, 1); + \ldots ; (A_n, 1)]$.} + +\item \verb+[definition=barycentre3d]+; +\verb+args=+ + {\{$[$ $A$ $a$ $B$ $b$ $]$\}}. + + {The barycentre of the system $[(A, a) ; (B, b)]$.} + +\item \verb+[definition=hompoint3d]+; +\verb+args=+ + {$M$ $A$ $\alpha $}. + + {The image of $M$ via a homothety with centre $A$ and ratio $\alpha $.} + +\item \verb+[definition=sympoint3d]+; +\verb+args=+ + {$M$ $A$}. + + {The image of $M$ via the center of symmetry $A$}%I don't understand + +\item \verb+[definition=translatepoint3d]+; +\verb+args=+ + {$M$ $u$}. + + {The image of $M$ under the translation via the vector $\vec u$} + +\item \verb+[definition=scaleOpoint3d]+; +\verb+args=+ + {$x$ $y$ $z$ $k_1$ $k_2$ $k_3$}. + + {This gives a ``dilation'' \ of the coordinates of the point $M (x, y, + z)$ on the axes $Ox$, $Oy$ and $Oz$ each multiplied by an appropriate factor $k_1$, + $k_2$ and $k_3$} + +\item \verb+[definition=rotateOpoint3d]+; +\verb+args=+ + {$M$ $\alpha_x$ $\alpha_y$ $\alpha_z$}. + + {The image of $M$ through consecutive rotations -- centered at $O$ -- and with respective angles + $\alpha_x$, $\alpha_y$ and $\alpha_z$ around the axes $Ox$, + $Oy$ and $Oz$.} + + + +%% Projection orthogonale d'un point 3d sur un plan +%% Mx My Mz (=le point a projeter) +%% Ax Ay Az (=un point du plan) +%% Vx Vy Vz (un vecteur normal au plan) +\item \verb+[definition=orthoprojplane3d]+; +\verb+args=+ + {$M$ $A$ $\vec v$}. + + {The projection of the point $M$ to the plane $P$ which is defined + by the point $A$ and the vector $\vec v$, perpendicular to $P$.} + +\item \verb+[definition=milieu3d]+; +\verb+args=+ + {$A$ $B$}. + + {The midpoint of $[AB]$} + +\item \verb+[definition=addv3d]+; +\verb+args=+ + {$A$ $u$}. + + {Gives the point $B$ so that $\overrightarrow {AB} = \vec u$} + +\end{itemize} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-pointagesommets_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-pointagesommets_en_corr.tex new file mode 100644 index 00000000000..fb47f913194 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-pointagesommets_en_corr.tex @@ -0,0 +1,37 @@ +\section{Numbering of the vertices} + +There is an option that permits the marking of the vertices (with a black circle) and/or numbers them either globally or individually. +\begin{itemize} + \item \verb+[show=all]+ marks all the vertices; + \item \verb+[num=all]+ numbers all the vertices; + \item \verb+[show=0 1 2 3]+ marks the vertices with the index number 0, 1, 2 and 3; + \item \verb+[num=0 1 2 3]+ numbers the vertices with the index number 0, 1, 2 and 3. +\end{itemize} +% +\begin{LTXexample}[width=6cm] +\begin{pspicture}(-3,-2.5)(7,2.5) +\psset{viewpoint=50 20 20 rtp2xyz,Decran=40} +\psSolid[ + action=draw, + object=cube, + RotZ=30, + show=all, + num=all + ]% +\end{pspicture} +\end{LTXexample} + + +\begin{LTXexample}[width=6cm] +\begin{pspicture}(-3,-2.5)(7,2.5) +\psset{viewpoint=50 20 20 rtp2xyz,Decran=40} +\psSolid[action=draw, + object=cube, + RotZ=30, + show=0 1 2 3, + num=0 1 2 3 + ]% +\end{pspicture} +\end{LTXexample} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-positionnerpointconnu_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-positionnerpointconnu_en_corr.tex new file mode 100644 index 00000000000..e5affc05e4b --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-positionnerpointconnu_en_corr.tex @@ -0,0 +1,42 @@ +\section{Positioning a named point} + +\begin{verbatim} +\psPoint(x,y,z){name} +\end{verbatim} +This is a command similar to \verb+\pnode(! x y){name}+. It places +the node \texttt{(name)} at the point with the coordinates $(x,y,z)$, +viewed with the chosen point of view \verb+viewpoint=vx vy vz+. We can +now use the point to mark it, draw lines, polygons, etc. + +Let's place the centers of the atoms of the methanol molecule $\mathrm{CH_3COH}$. + +\begin{LTXexample}[width=8cm] +\begin{pspicture}(-4,-4)(4,5) +\psset{viewpoint=100 50 20 rtp2xyz,Decran=20} +\axesIIID(3,3,3)(20,20,20) +\psPoint(-4.79,2.06,0){C1} +\psPoint(-4.79,15.76,0){Ox} +\psPoint(8.43,5.57,0){C2} +\psPoint(-14.14,3.34,0){H3} +\psPoint(14.14,-2.94,8.90){H6} +\psPoint(14.14,-2.94,-8.90){H7} +\psPoint(6.43,-16.29,0){H8} +\psline(C1)(H3)\psline(C2)(H7) +\psline(C2)(H8)\psline(C1)(C2) +\psline[doubleline=true](C1)(Ox) +\psline(C2)(H6) +\uput[r](H3){$\mathrm{H_1}$} +\uput[l](H6){$\mathrm{H_2}$} +\uput[l](H7){$\mathrm{H_3}$} +\uput[l](H8){$\mathrm{H_4}$} +\uput{0.25}[u](C1){$\mathrm{C_1}$} +\uput{0.25}[d](C2){$\mathrm{C_2}$} +\uput{0.25}[r](Ox){$\red\mathrm{O}$} +\psdots[dotstyle=o,dotsize=0.3](H3)(H6)(H7)(H8) +\psdots[dotsize=0.4](C1)(C2) +\psdot[linecolor=red,dotsize=0.4](Ox) +\end{pspicture} +\end{LTXexample} + + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-positionnersolide_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-positionnersolide_en_corr.tex new file mode 100644 index 00000000000..1ec2d1d05a3 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-positionnersolide_en_corr.tex @@ -0,0 +1,142 @@ +\section{Positioning a solid} +\subsection{Translation} +The following command +\Cadre{\textbackslash psSolid[object=cube,+\textit{options}](x,y,z)} shifts the +center of the cube to the point with the coordinates $\mathtt{(x,y,z)}$. + +The next example will copy the cube with edge length of 1 +\begin{pspicture}(-0.5,-0.5)(.5,.5) +\psset{Decran=40,viewpoint=50 35 35 rtp2xyz,a=1,lightsrc=50 30 20} +\psset{fillcolor=yellow,mode=3} +\psSolid[object=cube](0.5,0.5,0.5)% c1 +\end{pspicture} +to the points with the coordinates $\mathtt{(0.5,0.5,0.5)}$, + $\mathtt{(4.5,0.5,0.5)}$ etc. so that the copied cubes setup the vertices + of a new cube with the edge length 5. +\begin{center} +\begin{pspicture}(-4,-5)(5,5) +\psframe(-4,-5)(5,5) +%\psset{SphericalCoor,Decran=3,viewpoint=10 35 35,a=1,lightsrc=50 20 10} +\psset{Decran=40,viewpoint=50 35 35 rtp2xyz,a=1,lightsrc=50 30 20} +\psSolid[object=grille,base=0 6 0 6,fillcolor=gray!40]%% +\psSolid[object=grille,base=0 6 0 6,RotY=90,fillcolor=gray!30](0,0,6)% +\psSolid[object=grille,base=0 6 0 6,RotX=-90,fillcolor=gray!20](0,0,6)% +\psPoint(1,0.5,0.5){c11} +\psPoint(0.5,0.5,1){c12} +\psPoint(0.5,1,0.5){c13} +\psPoint(4.5,4.5,1){c21} +\psPoint(4,4.5,0.5){c22} +\psPoint(4.5,4,0.5){c23} +\psPoint(4,0.5,0.5){c41} +\psPoint(4.5,0.5,1){c42} +\psPoint(4.5,1,0.5){c43} +\psPoint(0.5,4,0.5){c51} +\psPoint(0.5,4.5,1){c52} +\psPoint(1,4.5,0.5){c53} +\psPoint(0.5,0.5,4){c61} +\psPoint(0.5,1,4.5){c62} +\psPoint(1,0.5,4.5){c63} +\psPoint(4,0.5,4.5){c71} +\psPoint(4.5,1,4.5){c72} +\psPoint(4.5,0.5,4){c73} +\axesIIID(1,1,1)(6,6,6) +{\psset{fillcolor=yellow,mode=3} +\psSolid[object=cube](0.5,0.5,0.5)% c1 +\psline[linestyle=dashed,linecolor=red,linewidth=1.5pt](c11)(c41) +\psline[linestyle=dashed,linecolor=red,linewidth=1.5pt](c12)(c61) +\psline[linestyle=dashed,linecolor=red,linewidth=1.5pt](c13)(c51) +\psSolid[object=cube](4.5,0.5,0.5) +\psSolid[object=cube](0.5,4.5,0.5) +\psSolid[object=cube](0.5,0.5,4.5) +\psSolid[object=cube](4.5,4.5,4.5) +\psSolid[object=cube](4.5,0.5,4.5) +\psSolid[object=cube](4.5,4.5,0.5) +\psSolid[object=cube](0.5,4.5,4.5)} +\psSolid[object=grille,base=0 5 0 5,action=draw,linecolor=blue!70,linewidth=1.2pt](0,0,5)% +\psSolid[object=grille,base=0 5 0 5,action=draw,linecolor=blue!70,RotY=90,linewidth=1.2pt](5,0,5)% +\psSolid[object=grille,base=0 5 0 5,action=draw,RotX=-90,linecolor=blue!70,linewidth=1.2pt](0,5,5)% +\end{pspicture} +\end{center} +\begin{verbatim} +\psset{fillcolor=yellow,mode=3} +\psSolid[object=cube](0.5,0.5,0.5) +\psSolid[object=cube](4.5,0.5,0.5) +\psSolid[object=cube](0.5,4.5,0.5) +\psSolid[object=cube](0.5,0.5,4.5) +\psSolid[object=cube](4.5,4.5,4.5) +\psSolid[object=cube](4.5,0.5,4.5) +\psSolid[object=cube](4.5,4.5,0.5) +\psSolid[object=cube](0.5,4.5,4.5) +\end{verbatim} + + +\subsection{Rotation} + +The rotation is effected around the three axes $Ox$, $Oy$ and $Oz$. Let's take a cuboid as an example, +\begin{pspicture}(-1,-0.2)(1,.5) +\psset{Decran=40,viewpoint=50 35 35 rtp2xyz,a=2,b=3,c=1,lightsrc=50 30 30} +\psset{fillcolor=yellow,unit=0.5, + fcol= 0 (Apricot) + 1 (Lavender) + 2 (SkyBlue) + 3 (LimeGreen) + 4 (OliveGreen) + 5 (Yellow) + 6 (Bittersweet)} +\psSolid[object=parallelepiped](0.5,0.5,0.5)% +\end{pspicture} +which will be rotated seperately around the axes $Ox$, $Oy$ and $Oz$. + +\begin{multicols}{4} +\psset{Decran=40,viewpoint=50 35 35 rtp2xyz,a=2,b=3,c=1} +\psset{unit=0.5, + fcol= 0 (Apricot) + 1 (Lavender) + 2 (SkyBlue) + 3 (LimeGreen) + 4 (OliveGreen) + 5 (Yellow) + 6 (Bittersweet), + object=parallelepiped} +\setlength{\columnseprule}{1pt} +\centerline{ +\begin{pspicture}(-2.75,-2.5)(2.95,2.5) +\psframe(-2.75,-2.5)(2.95,2.5) +\psSolid%% +\axesIIID(1,1.5,1)(3,3,2) +\end{pspicture}} +\columnbreak +\centerline{ +\begin{pspicture}(-2.75,-2.5)(2.95,2.5) +\psframe(-2.75,-2.5)(2.95,2.5) +\psSolid[RotZ=60]%% +\psSolid[action=draw,linewidth=0.5\pslinewidth]%% +\axesIIID(1,1.5,1)(2,3,2) +\end{pspicture}} + +\centerline{\texttt{[RotZ=60]}} + +\columnbreak +\centerline{% +\begin{pspicture}(-2.75,-2.5)(2.95,2.5)) +\psframe(-2.75,-2.5)(2.95,2.5) +\psSolid[RotX=30]%% +\psSolid[action=draw,linewidth=0.5\pslinewidth]%% +\axesIIID(1,1.5,1)(2,3,2) +\end{pspicture}} + +\centerline{\texttt{[RotX=30]}} + +\columnbreak +\centerline{% +\begin{pspicture}(-2.75,-2.5)(2.95,2.5) +\psframe(-2.75,-2.5)(2.95,2.5) +\psSolid[RotY=45]%% +\psSolid[action=draw,linewidth=0.5\pslinewidth]%% +\axesIIID(1,1.5,1)(2,3,2) +\end{pspicture}} + +\centerline{\texttt{[RotY=-45]}} +\end{multicols} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-prisme_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-prisme_en_corr.tex new file mode 100644 index 00000000000..2fe07b3ef6d --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-prisme_en_corr.tex @@ -0,0 +1,212 @@ +\section{The prism} + +A prism is determined by two parameters: +\begin{itemize} + \item The base of the prism can be defined by the coordinates of the vertices + in the $xy$-plane. Note that it is necessary that the four + vertices be given in counterclockwise order with respect to the barycenter of + the base; + \item the direction of the prism axis (the components of the shearing vector). +\end{itemize} + + +\subsubsection{Example 1: a right and oblique prisms with polygonal section} + +\begin{center} +\psset{unit=0.5} +\psset{lightsrc=10 5 50,viewpoint=50 20 30 rtp2xyz,,Decran=50} +\begin{minipage}{5cm} +\begin{pspicture*}(-6,-4)(6,9) +\psframe(-6,-4)(6,9) +\psSolid[object=grille,base=-4 4 -4 4,action=draw]% +\psSolid[object=prisme,h=6,base=0 1 -1 0 0 -2 1 -1 0 0]% + \axesIIID(4,4,6)(4.5,4.5,8) +\end{pspicture*} + +\small\texttt{[base=\psframebox[fillstyle=solid,fillcolor=black]{\textcolor{white}{0 1 -1 0 0 -2 1 -1 0 0}},h=6]} +\\ +\end{minipage} +\hspace{2cm} +\begin{minipage}{5cm} +\begin{pspicture*}(-6,-4)(6,9) +\psframe(-6,-4)(6,9) +\psSolid[object=grille,base=-4 4 -4 4,action=draw]% +\psSolid[object=prisme,axe=0 1 2,h=8,base=0 -2 1 -1 0 0 0 1 -1 0]% + \axesIIID(4,4,4)(4.5,4.5,8) +\psPoint(0,4,8){V} +\psPoint(0,4,0){Vy} +\psPoint(0,0,8){Vz} +\uput[l](Vz){8} +\uput[ur](Vy){4} +\psline[linecolor=blue]{->}(O)(V) +\psline[linestyle=dashed](Vz)(V)(Vy) +\end{pspicture*} + +\small\texttt{[base=\psframebox[fillstyle=solid,fillcolor=black]{\textcolor{white}{0 -2 1 -1 0 0 0 1 -1 0}},}% +\\ + \texttt{ axe=\psframebox[fillstyle=solid,fillcolor=black]{\textcolor{white}{0 4 8}},h=8]} +\end{minipage} +\end{center} + + +\subsubsection{Example 2: a right prism with cross-section a rounded square} + +\psset{lightsrc=10 -20 50,viewpoint=50 -20 30 rtp2xyz,Decran=50} +\begin{LTXexample}[width=6.5cm] +\psset{unit=0.5} +\begin{pspicture}(-5,-4)(3,9) +\psSolid[object=grille,base=-4 4 -4 4,action=draw] +\psSolid[object=prisme,h=6,fillcolor=yellow, + base=% + 0 10 90 {/i exch def i cos 1 add i sin 1 add } for + 90 10 180 {/i exch def i cos 1 sub i sin 1 add} for + 180 10 270 {/i exch def i cos 1 sub i sin 1 sub} for + 270 10 360 {/i exch def i cos 1 add i sin 1 sub} for] +\axesIIID(4,4,6)(6,6,8) +\end{pspicture} +\end{LTXexample} + +\clearpage + +\subsubsection{Example 3: a right prism with a star-shaped section} + +\begin{LTXexample}[width=6.5cm] +\psset{unit=0.5} +\psset{lightsrc=10 -20 50,viewpoint=50 -20 30 rtp2xyz,Decran=50} +\begin{pspicture*}(-5,-4)(6,9) +\defFunction{F}(t){3 t cos 3 exp mul}{3 t sin 3 exp mul}{} +\psSolid[object=grille,base=-4 4 -4 4,action=draw]% +\psSolid[object=prismecreux,h=8,fillcolor=red!50, + resolution=36, + base=0 350 {F} CourbeR2+ + ]% +\end{pspicture*} +\end{LTXexample} + + +\subsubsection{Example 4: a prism with an elliptic section} + +%\begin{minipage}{6.5cm} +\begin{LTXexample}[width=6.5cm] +\psset{unit=0.5} +\begin{pspicture}(-6,-5)(4,12) +\psSolid[object=grille,base=-6 6 -4 4,action=draw] +\psset{lightsrc=10 20 30,viewpoint=50 20 25 rtp2xyz,Decran=50} +\defFunction{FI}(t){t cos 4 mul}{t sin 2 mul}{} +\psSolid[object=prisme,h=8,fillcolor=green!20, + base=0 350 {FI} CourbeR2+]% +\defFunction{FII}(t){t cos 4 mul}{t sin 2 mul}{8} +\psSolid[object=courbe,r=0, + function=FII,range=0 360, + linewidth=2\pslinewidth, + linecolor=green] +\axesIIID(6,4,8)(8,6,10) +\end{pspicture} +\end{LTXexample} +\iffalse +\end{minipage}\hfill +\begin{minipage}{10cm} +\begin{lstlisting}[basiscstyle=\small] +\psset{unit=0.5} +\begin{pspicture}(-6,-5)(4,12) +\psSolid[object=grille,base=-6 6 -4 4,action=draw] +\psset{lightsrc=10 20 30,viewpoint=50 20 25 rtp2xyz,Decran=50} +\defFunction{F1}(t){t cos 4 mul}{t sin 2 mul}{} +\psSolid[object=prisme,h=8,fillcolor=green!20, + base=0 350 {F1} CourbeR2+]% +\defFunction{F2}(t){t cos 4 mul}{t sin 2 mul}{8} +\psSolid[object=courbe,r=0, + function=F2,range=0 360, + linewidth=2\pslinewidth, + linecolor=green] +\axesIIID(6,4,8)(8,6,10) +\end{pspicture} +\end{lstlisting} +\end{minipage} +\fi + +\clearpage +\subsubsection{Example 5: a roof gutter with a semi-circular section} + +\begin{LTXexample}[width=7cm] +\psset{unit=0.35} +\psset{lightsrc=10 20 30,viewpoint=50 30 25 rtp2xyz,Decran=50} +\begin{pspicture}(-10,-5)(6,10) +\defFunction[algebraic]{F}(t) + {3*cos(t)}{3*sin(t)}{} +\defFunction[algebraic]{G}(t) + {2.5*cos(t)}{2.5*sin(t)}{} +\psSolid[object=grille, + base=-6 6 -6 6,action=draw]% +\psSolid[object=prisme,h=12, + fillcolor=blue!30,RotX=-90, + resolution=19, + base=0 pi {F} CourbeR2+ + pi 0 {G} CourbeR2+](0,-6,3) +\axesIIID(6,6,2)(8,8,8) +\end{pspicture} +\end{LTXexample} + +We draw the exterior face (semicircle of radius 3~cm) in counterclockwise +order: \verb!0 pi {F} CourbeR2+! +Then the interior face (semicircle of radius 2{,}5~cm), is drawn in clockwise order: +\verb!pi 0 {G} CourbeR2+! + +We can turn the solid $-90^{\mathrm{o}}$ and place it at the point $(0,-6,3)$. +If we use the \verb+algebraic+ option to define the functions $F$ +and $G$, the functions $\sin$ and $\cos$ are in radians. + +\subsubsection{The parameter \texttt{decal}} + +We wrote above that the first four vertices must be given in counterclockwise order +with respect to the barycenter of the vertices of the base. In fact, this is the +default version of the following rule: If the base has $n+1$ vertices, +and if $G$ is their barycenter, +then $(s_0,s_1)$ on one hand and $(s_{n-1},s_n)$ on the other, should be +in counterclockwise order with respect to $G$. + + +This rule puts constraints on the coding of the base of a prism which +sometimes renders the latter unaesthetically. +For this reason we have introduced the argument \verb+[decal]+ (default value$=-2$) +which allows us to consider the list of vertices of the base as a circular file +which you will shift round if needed. + +An example: default behavior with $decal=-2$:\par +\psset{lightsrc=10 20 30,viewpoint=50 80 35 rtp2xyz,Decran=50} +\begin{LTXexample}[width=6cm] +\psset{unit=0.5} +\begin{pspicture}(-6,-4)(6,7) +\defFunction{F}(t){t cos 3 mul}{t sin 3 mul}{} +\psSolid[object=prisme,h=8, + fillcolor=yellow,RotX=-90, + num=0 1 2 3 4 5 6, + show=0 1 2 3 4 5 6, + resolution=7, + base=0 180 {F} CourbeR2+ + ](0,-10,0) +\end{pspicture} +\end{LTXexample} + +We see that the vertex with index~$0$ is not where we expect to find it. + +We start again, but this time [suppressing the renumbering]: \par +% +\psset{lightsrc=10 20 30,viewpoint=50 80 35 rtp2xyz,Decran=50} +\begin{LTXexample}[width=6cm] +\psset{unit=0.5} +\begin{pspicture}(-6,-4)(6,7) +\defFunction{F}(t){t cos 3 mul}{t sin 3 mul}{} +\psSolid[object=prisme,h=8, + fillcolor=yellow,RotX=-90, + decal=0, + num=0 1 2 3 4 5 6, + show=0 1 2 3 4 5 6, + resolution=7, + base=0 180 {F} CourbeR2+ + ](0,-10,0) +\end{pspicture} +\end{LTXexample} + + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectionangledroit_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectionangledroit_en_corr.tex new file mode 100644 index 00000000000..fb19a8bf5a9 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectionangledroit_en_corr.tex @@ -0,0 +1,59 @@ +\section{Right angle} + +\subsection{Direct definition} + +The object \texttt{rightangle} allows us to specify and draw a +right angle. The syntax is: \texttt{[object=rightangle,args=$A$ +$B$ $C$]} + +\begin{LTXexample}[width=7.5cm] +\begin{pspicture}(-3,-2.5)(3.5,2.5)% +\psframe*[linecolor=blue!50](-3,-2.5)(3.5,2.5) +\psset{lightsrc=viewpoint,viewpoint=50 30 15,Decran=40} +\psset{solidmemory} +%% definition du plan de projection +\psSolid[object=plan, + definition=equation, + args={[1 0 1 0] 90}, + base=-4 4 -3 3, + fillcolor=white, + linecolor=gray!30, +% plangrid, + planmarks, + name=monplan] +\psset{plan=monplan,visibility=false} +%% definition droite d +\psProjection[object=droite, + definition=horizontale, + args=-1,name=d] +\psset{fontsize=15} +%% definition du point M +\psProjection[object=point, + args=-2 1, + name=M,text=M, + pos=ul] +%% definition du point H +\psProjection[object=point, + definition=orthoproj, + args=M d, + name=H,text=H, + pos=dr] +%% definition du point H' pour orienter l'angle droit +%% et mettre la legende +\psProjection[object=point, + definition=xdpoint, + args=2 d,name=H', + action=none, + text=d,pos=ur] +%% definition d'une ligne +\psProjection[object=line, + args=M H] +%% dessin angle droit +\psProjection[object=rightangle, + args=M H H'] +\composeSolid +%\axesIIID(4,4,2)(5,5,6) +\end{pspicture} +\end{LTXexample} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectioncercle_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectioncercle_en_corr.tex new file mode 100644 index 00000000000..98ca34b8b17 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectioncercle_en_corr.tex @@ -0,0 +1,66 @@ +\section{Circles} + +\subsection{Direct definition} + +The object \texttt{cercle} allows us to define and draw a circle. +In the \texttt{pst-solides3d} package, a circle in 2D is defined +by its centre and radius. + +We use the option \verb+args+ to specify the centre and radius of +the chosen circle. We can use coordinates or named variables. + +The argument \texttt{[range=$t_{\rm min}$ $t_{\rm max}$]} allows %$ +us to specify an arc of the chosen circle. + +As for all the other object, we can save the circle data using the +option \texttt{name}. + +\begin{LTXexample}[width=7.5cm] +\begin{pspicture}(-3,-3)(4,3.5)% +\psframe*[linecolor=blue!50](-3,-3)(4,3.5) +\psset{viewpoint=50 30 15,Decran=60} +\psset{solidmemory} +%% definition du plan de projection +\psSolid[object=plan, + definition=equation, + args={[1 0 0 0] 90}, + planmarks, + name=monplan] +\psset{plan=monplan} +%% definition du point A +\psProjection[object=point, + name=A, + text=A, + pos=ur](-2,1.25) +\psProjection[object=cercle, + args=A 1, + range=0 360] +\psProjection[object=cercle, + args=1 1 .5,linecolor=blue, + range=0 180] +\composeSolid +\end{pspicture} +\end{LTXexample} + +\subsection{Some other definitions} + +There are additional methods to define a circle in 2D. The options +\texttt{definition} and \texttt{args} give the following supported +methods: + +\begin{itemize} + +\item \texttt{[definition=ABcercle]}; +\verb+args=+ $A$ $B$ $C$. + +A circle through the points $A$, $B$ +and $C$. + +\item \texttt{[definition=diamcercle]}; +\verb+args=+ $A$ $B$. + +A circle with diameter $[AB]$. + +\end{itemize} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectioncourbe_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectioncourbe_en_corr.tex new file mode 100644 index 00000000000..e506dda2d2a --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectioncourbe_en_corr.tex @@ -0,0 +1,114 @@ +\section{Curves of real-valued and parameterised functions} + +\subsection{Curve of a real-valued function} + +The object \texttt{courbe} allows us to draw a curve, where the +name is given with the option \texttt{function}. This function, +with values in $\mathbb{R}$, has to be defined by the macro +\verb+\defFunction+ (see the appropriate paragraph for more +details). + +We can define this function either in algebraic notation, with the +option \texttt{[algebraic]}, or in Reverse Polish Notation (RPN), +with variables like $(x,u,t\ldots)$, using an expression of the +following form: + + +\begin{verbatim} +\defFunction[algebraic]{nom_fonction}(x){x*sin(x)}{}{} +\end{verbatim} + +\begin{verbatim} +\defFunction{nom_fonction}(x){x dup sin mul}{}{} +\end{verbatim} + + +\encadre{This expression needs to be included within a +\texttt{pspicture} environment.} + +The limits of the variables are defined by the option +\texttt{range=$xmin$ $xmax$}, and the option \texttt{argument=$n$} +defines the number of points to be plotted when drawing the curve. + +\begin{LTXexample}[width=7.5cm] +\begin{pspicture}(-3,-3)(4,3.5)% +\psframe*[linecolor=blue!50](-3,-3)(4,3.5) +\psset{lightsrc=50 20 20,viewpoint=50 30 15,Decran=60} +\psset{solidmemory} +\defFunction[algebraic]{1_sin}(x){2*sin(1/x)}{}{} +\psSolid[object=grille, + base=-3 0 -3 3, + linewidth=0.5\pslinewidth,linecolor=gray,] +%% definition du plan de projection +\psSolid[object=plan, + definition=equation, + args={[1 0 0 0] 90}, + base=-3.2 3.2 -2.2 2.2, + planmarks, + showBase, + name=monplan] +\psset{plan=monplan} +\psSolid[object=plan, + args=monplan, + linecolor=gray!40, + plangrid, + action=none] +\psProjection[object=courbe, + linecolor=red, + range=-3 3,resolution=720, + function=1_sin] +\composeSolid +\axesIIID(4,2,2)(5,4,3) +\end{pspicture} +\end{LTXexample} + +\subsection{Parameterised curves} + +The technique used here is analogous to the above, with the +difference that the values now come from $\mathbb{R}^2$, and the +object for the macro \bs{psProjection} is now \texttt{courbeR2}. + +For example, to draw a circle of radius $3$ and centre $O$, we +type: + +\begin{verbatim} +\defFunction[algebraic]{cercle}(t){3*cos(t)}{3*sin(t)}{} +\end{verbatim} + + +Another example: Lissajous curves. + + +\begin{LTXexample}[width=7.5cm] +\begin{pspicture}(-3,-3)(4,3.5)% +\psframe*[linecolor=blue!50](-3,-3)(4,3.5) +\psset{lightsrc=50 20 20,viewpoint=50 30 15,Decran=60} +\psset{solidmemory} +\defFunction[algebraic]{F}(t){2*sin(0.57735*t)}{2*sin(0.707*t)}{} +\psSolid[object=grille, + base=-3 0 -3 3, + linewidth=0.5\pslinewidth,linecolor=gray,] +%% definition du plan de projection +\psSolid[object=plan, + definition=equation, + args={[1 0 0 0] 90}, + base=-3.2 3.2 -2.2 2.2, + name=monplan, + planmarks, + showBase] +\psset{plan=monplan} +\psSolid[object=plan, + args=monplan, + linecolor=gray!40, + plangrid, + action=none] +\psProjection[object=courbeR2, + range=-25.12 25.12,resolution=720, + normal=1 1 2,linecolor=red, + function=F] +\composeSolid +\axesIIID(4,2,2)(5,4,3) +\end{pspicture} +\end{LTXexample} + +\endinput
\ No newline at end of file diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectiondroite_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectiondroite_en_corr.tex new file mode 100644 index 00000000000..5a441c7ca8e --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectiondroite_en_corr.tex @@ -0,0 +1,106 @@ +\section{Lines} + +\subsection{Direct definition} + +The object \texttt{droite} allows us to define and draw a line. In +the \texttt{pst-solides3d} package, a line in 2D is defined by its +two end-points. + +We use the option \verb+args+ to specify the end-points of the +chosen line. We can use coordinates or named points. + +As with points and vectors, we can save the coordinates of the +line with the option \texttt{name}. + +\begin{LTXexample}[width=7.5cm] +\begin{pspicture}(-3,-3)(4,3.5)% +\psframe*[linecolor=blue!50](-3,-3)(4,3.5) +\psset{viewpoint=50 30 15,Decran=60} +\psset{solidmemory} +%% definition du plan de projection +\psSolid[object=plan, + definition=equation, + args={[1 0 0 0] 90}, + planmarks,name=monplan] +\psset{plan=monplan} +%% definition du point A +\psProjection[object=point, + name=A,text=A, + pos=ur](-2,1.25) +\psProjection[object=point, + name=B,text=B, + pos=ur](1,.75) +\psProjection[object=droite, + linecolor=blue, + args=0 0 1 .5] +\psProjection[object=droite, + linecolor=orange, + args=A B] +\composeSolid +\end{pspicture} +\end{LTXexample} + + +\subsection{Some other definitions} + +There are other methods to define a line in 2D. The options +\texttt{definition} and \texttt{args} are used in these variants: + + + +\begin{itemize} + +\item \texttt{[definition=horizontale]}; +\verb+args=+ $b$. + +The line with equation $y=b$. + +\item \texttt{[definition=verticale]}; +\verb+args=+ $a$. + +The line with equation $x=a$. + +\item \texttt{[definition=paral]}; +\verb+args=+ $d$ $A$. + +A line parallel to $d$ passing through +$A$. + +\item \texttt{[definition=perp]}; +\verb+args=+ $d$ $A$. + +A line perpendicular to $d$ passing +through $A$. + +\item \texttt{[definition=mediatrice]}; +\verb+args=+ $A$ $B$. + +The perpendicular bisector of the line +segment $[AB]$. + +\item \texttt{[definition=bissectrice]}; +\verb+args=+ $A$ $B$ $C$. + +The bisector of the angle $\widehat +{ABC}$. + +\item \texttt{[definition=axesymdroite]}; +\verb+args=+$d$ $D$. + +The reflection of the line $d$ in the +line $D$. + +\item \texttt{[definition=rotatedroite]}; +\verb+args=+$d$ $I$ $r$. + +The image of the line $d$ after a +rotation with centre $I$ through an angle $r$ (in degrees) + +\item \texttt{[definition=translatedroite]}; +\verb+args=+$d$ $u$. + +The image of the line $d$ shifted by the vector $\vec u$. + +\end{itemize} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectionligne_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectionligne_en_corr.tex new file mode 100644 index 00000000000..56d6edbb297 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectionligne_en_corr.tex @@ -0,0 +1,51 @@ +\section{Lines} + +\subsection{Direct definition} + +The object \texttt{line} defines a line (or a series of line +segments). We use the option \verb+args+ to specify the points: +\texttt{[object=line,args=$A_0$ $A_1$ \ldots $A_n$]} + +We can also define a line that has been transformed using a +translation, a rotation, a homothety, etc., as though it were a +polygon. + +\begin{LTXexample}[width=7.5cm] +\begin{pspicture}(-3,-3)(4,3.5)% +\psframe*[linecolor=blue!50](-3,-3)(4,3.5) +\psset{lightsrc=50 20 20,viewpoint=50 30 15,Decran=60} +\psset{solidmemory} +\psSolid[object=grille, + base=-3 0 -3 3, + linewidth=0.5\pslinewidth,linecolor=gray,] +%% definition du plan de projection +\psSolid[object=plan, + definition=equation, + args={[1 0 0 0] 90}, + base=-3.2 3.2 -2.2 2.2, + name=monplan, + planmarks] +\psset{plan=monplan} +\psSolid[object=plan, + args=monplan, + linecolor=gray!40, + plangrid, + action=none] +\psProjection[object=line, + args=-1 0 -3 1 1 2, + name=P] +\psProjection[object=line, + definition=rotatepol, + linecolor=blue, + args=P -1 0 -45] +%% du code jps dans la definition +\psProjection[object=line, + definition={2 -2 addv} papply, + linestyle=dashed, + args=P] +\composeSolid +\axesIIID(4,2,2)(5,4,3) +\end{pspicture} +\end{LTXexample} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectionpoint_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectionpoint_en_corr.tex new file mode 100644 index 00000000000..9575d036057 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectionpoint_en_corr.tex @@ -0,0 +1,198 @@ +\section{Points} + +\subsection{Direct definition} + +The object \texttt{point} defines a point. The values $(x,y)$ of +its coordinates can be passed directly to the macro +\bs{psProjection} or indirectly via the option \verb+args+. + +Thus the two commands \verb+\psProjection[object=point](1,2)+ and +\verb+\psProjection[object=point,arg=1 2]+ are equivalent and lead +to the projection of the point with coordinates $(1,2)$ onto the +chosen plane. + +\subsection{Labels} + +The option \texttt{[text=$str$]} allows us to project a string of +characters onto the chosen plane next to a chosen point. The +positioning is made with the argument \texttt{[pos=$value$]} where +$value$ is one of the following $\{$ul, cl, bl, dl, ub, cb, bb, +db, uc, cc, bc, dc, ur, cr, br, dr$\}$. + +The details of the parameter \verb+pos+ will be discussed in a +later paragraph. + +\begin{LTXexample}[width=7.5cm] +\begin{pspicture}(-3,-3)(4,3.5)% +\psframe*[linecolor=blue!50](-3,-3)(4,3.5) +\psset{viewpoint=50 30 15,Decran=60} +\psset{solidmemory} +%% definition du plan de projection +\psSolid[object=plan, + definition=equation, + args={[1 0 0 0] 90}, + name=monplan, + planmarks, + showBase] +\psset{plan=monplan} +%% definition du point A +\psProjection[object=point, + args=-2 1, + text=A, + pos=ur] +\psProjection[object=point, + text=B, + pos=ur](2,1) +\composeSolid +\axesIIID(4,2,2)(5,4,3) +\end{pspicture} +\end{LTXexample} + + + +\subsection{Naming and memorising a point} + +If the option \texttt{[name=$str$]} is given, the coordinates +$(x,y)$ of the chosen point are saved under the name $str$ and so +can be reused. + +\subsection{Some other definitions} + +There are other methods to define a point in 2D. The options +\texttt{definition} and \texttt{args} support the following +methods: + +\begin{itemize} + +\item \texttt{[definition=milieu]}; +\verb+args=+$A$ $B$. + +The midpoint of the line segment $[AB]$ + +\item \texttt{[definition=parallelopoint]}; +\verb+args=+$A$ $B$ $C$. + +The point $D$ for which $(ABCD)$ is a +parallelogram. + +\item \texttt{[definition=translatepoint]}; +\verb+args=+$M$ $u$. + +The image of the point $M$ shifted by the vector +$\vec u$ + + +\item \texttt{[definition=rotatepoint]}; +\verb+args=+$M$ $I$ $r$. + +The image of the point $M$ under a +rotation about the point $I$ through an angle $r$ (in degrees) + +\item \texttt{[definition=hompoint]}; +\verb+args=+$M$ $A$ $k$. + +The point $M'$ satisfying +$\overrightarrow {AM'} = k \overrightarrow {AM}$ + +\item \texttt{[definition=orthoproj]}; +\verb+args=+$M$ $d$. + +The orthogonal projection of the point +$M$ onto the line $d$. + +\item \texttt{[definition=projx]}; +\verb+args=+$M$. + +The projection of the point $M$ onto the $Ox$ +axis. + +\item \texttt{[definition=projy]}; +\verb+args=+$M$. + +The projection of the point $M$ onto the $Oy$ +axis. + +\item \texttt{[definition=sympoint]}; +\verb+args=+$M$ $I$. + +The point of symmetry of $M$ with respect +to the point $I$. + +\item \texttt{[definition=axesympoint]}; +\verb+args=+$M$ $d$. + +The axially symmetrical point of $M$ with +respect to the line $d$. + +\item \texttt{[definition=cpoint]}; +\verb+args=+$\alpha $ $C$. + +The point corresponding to the +angle $\alpha $ on the circle $C$ + +\item \texttt{[definition=xdpoint]}; +\verb+args=+$x$ $d$. + +The $Ox$ intercept $x$ of the line $d$. + +\item \texttt{[definition=ydpoint]}; +\verb+args=+$y$ $d$. + +The $Oy$ intercept $y$ of the line $d$. + +\item \texttt{[definition=interdroite]}; +\verb+args=+ $d_1$ $d_2$. + +The intersection point of the lines +$d_1$ and $d_2$. + +\item \texttt{[definition=interdroitecercle]}; +\verb+args=+ $d$ $I$ $r$. + +The intersection points of the line +$d$ with a circle of centre $I$ and radius $r$. + +\end{itemize} + +In the example below, we define and name three points $A$, $B$ and +$C$, and then calculate the point $D$ for which $(ABCD)$ is a +parallelogram together with the centre of this parallelogram. + +\begin{LTXexample}[width=7.5cm] +\begin{pspicture}(-3,-3)(4,3.5)% +\psframe*[linecolor=blue!50](-3,-3)(4,3.5) +\psset{viewpoint=50 30 15,Decran=60} +\psset{solidmemory} +%% definition du plan de projection +\psSolid[object=plan, + definition=equation, + args={[1 0 0 0] 90}, + name=monplan, + planmarks, + showbase] +\psset{plan=monplan} +%% definition du point A +\psProjection[object=point, + text=A,pos=ur,name=A](-1,.7) +%% definition du point B +\psProjection[object=point, + text=B,pos=ur,name=B](2,1) +%% definition du point C +\psProjection[object=point, + text=C,pos=ur,name=C](1,-1.5) +%% definition du point D +\psProjection[object=point, + definition=parallelopoint, + args=A B C, + text=D,pos=ur,name=D] +%% definition du point G +\psProjection[object=point, + definition=milieu, + args=D B] +\composeSolid +\axesIIID(4,2,2)(5,4,3) +\end{pspicture} +\end{LTXexample} + +\endinput + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectionpolygone_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectionpolygone_en_corr.tex new file mode 100644 index 00000000000..7c48fd528e3 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectionpolygone_en_corr.tex @@ -0,0 +1,103 @@ +\section{Polygons} + +\subsection{Direct definition} + +The object \texttt{polygone} allows us to define a polygon. We use +the option \verb+args+ to specify the list of vertices: +\texttt{[object=polygone,args=$A_0$ $A_1$ \ldots $A_n$]} + +There are other ways to define a polygon in 2D. The options +\texttt{definition} and \texttt{args} support these methods: + +\begin{itemize} + +%% syntaxe : pol u --> pol' +\item \texttt{[definition=translatepol]}; +\verb+args=+$pol$ $u$. + +Translation of the polygon $pol$ by the +vector $\vec u$ + +%% syntaxe : pol u --> pol' +\item \texttt{[definition=rotatepol]}; +\verb+args=+$pol$ $I$ $\alpha $. + +Image of the polygon $pol$ +after a rotation with centre $I$ and angle $\alpha $ + +%% syntaxe : pol I alpha --> pol' +\item \texttt{[definition=hompol]}; +\verb+args=+$pol$ $I$ $\alpha $. + +Image of the polygon $pol$ +after a homothety (dilation) with centre $I$ and ratio $\alpha +$. + +%% syntaxe : pol I --> pol' +\item \texttt{[definition=sympol]}; +\verb+args=+$pol$ $I$. + +Image of the polygon $pol$ after a +reflection in the point $I$. + +%% syntaxe : pol D --> pol' +\item \texttt{[definition=axesympol]}; +\verb+args=+$pol$ $d$. + +Image of the polygon $pol$ after a +reflection in the line $d$. +\end{itemize} + + +In the following example we define, name and draw the polygon with +vertices $(-1,0)$, $(-3, 1)$, $(0, 2)$, then--- in blue---the +image after a rotation about the point $(-1,0)$ through an angle +$-45$. Finally, we translate the polygon with the vector shift +$(2,-2)$ by directly incorporating \textit{jps code} within the +argument of \verb+[definition=]+. + +\begin{LTXexample}[width=7.5cm] +\begin{pspicture}(-3,-3)(4,3.5)% +\psframe*[linecolor=blue!50](-3,-3)(4,3.5) +\psset{lightsrc=50 20 20,viewpoint=50 30 15,Decran=60} +\psset{solidmemory} +\psSolid[object=grille, + base=-3 0 -3 3, + linewidth=0.5\pslinewidth,linecolor=gray,] +%% definition du plan de projection +\psSolid[object=plan, + definition=equation, + args={[1 0 0 0] 90}, + base=-3.2 3.2 -2.2 2.2, + name=monplan, + planmarks, +] +\psset{plan=monplan} +\psSolid[object=plan, + args=monplan, + linecolor=gray!40, + plangrid, + action=none, +] +\psProjection[object=polygone, + args=-1 0 -3 1 0 2, + name=P, +] +\psProjection[object=polygone, + definition=rotatepol, + linecolor=blue, + args=P -1 0 -45, +] +%% du code jps dans la definition +\psProjection[object=polygone, + definition={2 -2 addv} papply, + fillstyle=hlines,hatchcolor=yellow, + linestyle=dashed, + args=P, +] +\composeSolid +\axesIIID(4,2,2)(5,4,3) +\end{pspicture} +\end{LTXexample} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectiontexte_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectiontexte_en_corr.tex new file mode 100644 index 00000000000..14f5d4e6dac --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectiontexte_en_corr.tex @@ -0,0 +1,619 @@ +\section{Text} + +The object \texttt{texte} of the macro \bs{psProjection} allows us +to project character strings onto planes. + +\subsection{The parameters and the options} + +There are three parameters: \texttt{[text]} which defines the +string, \texttt{[fontsize]}, which gives the dimension of the font +in points (remember: 28.45~pts correspond to 1~cm), and finally +\texttt{[pos]}, which defines the position of the text. By +default, the text is centred at the origin of the plane. + +This last parameter needs some explanation. See the string + \texttt{petit texte} represented below. +\begin{center} +\begin{pspicture}(-5,-2)(5,2) +\rput(0,0){\psframebox[linestyle=none,fillstyle=solid, + fillcolor=yellow!50,framesep=0pt]{\phantom{\timesnormal petit texte}}} +\rput(0,0){\rnode[lb]{A}{\rnode[rb]{B}{\rnode[rt]{C}{% + \rnode[lt]{D}{\rnode[l]{E}{\rnode[r]{F}{% + \rnode[t]{G}{\rnode[b]{H}{\timesnormal petit texte}}}}}}}}} +%\psset{nodesep=5pt} +\ncline{A}{B}\ncline{B}{C}\ncline{C}{D}\ncline{D}{A} +\pnode({A}){A'} +\pnode({B}){B'} +\pnode({C}){C'} +\pnode({D}){D'} +\pnode({E}){E'} +\pnode({F}){F'} +\pnode({G}){G'} +\pnode({H}){H'} +\rput(A){\pnode(0,\baselineskip){B1}} +\rput(B){\pnode(0,\baselineskip){B2}} +\psdots(A')(B')(C')(D')(E')(F')(G')(H')(B1)(B2)(0,0) +\psline(B1)(B2) +\pnode(! \GetCenter{A} A.x 0.5 sub A.y 0.5 sub){A1} +\ncline{->}{A}{A1} +\uput[dl](A1){\texttt{dl}} +\pnode(! \GetCenter{B1} B1.x 0.5 sub B1.y){B1l} +\ncline{->}{B1}{B1l} +\uput[l](B1l){\texttt{bl}} +\pnode(! \GetCenter{E} E.x 0.5 sub E.y){El} +\ncline{->}{E}{El} +\uput[l](El){\texttt{cl}} +\pnode(! \GetCenter{D} D.x 0.5 sub D.y 0.5 add){Dl} +\ncline{->}{D}{Dl} +\uput[ul](Dl){\texttt{ul}} +\pnode(! \GetCenter{G} G.x G.y 0.5 add){Gu} +\ncline{->}{G}{Gu} +\uput[u](Gu){\texttt{uc}} +\pnode(! \GetCenter{H} H.x H.y 0.5 sub){Hd} +\ncline{->}{H}{Hd} +\uput[d](Hd){\texttt{dc}} +\pnode(! \GetCenter{C} C.x 0.5 add C.y 0.5 add){Cr} +\ncline{->}{C}{Cr} +\uput[ur](Cr){\texttt{ur}} +\pnode(! \GetCenter{B} B.x 0.5 add B.y 0.5 sub){Br} +\ncline{->}{B}{Br} +\uput[dr](Br){\texttt{dr}} +\pnode(! \GetCenter{B2} B2.x 0.5 add B2.y){B2r} +\ncline{->}{B2}{B2r} +\uput[r](B2r){\texttt{br}} +\pnode(! \GetCenter{F} F.x 0.5 add F.y){Fr} +\ncline{->}{F}{Fr} +\uput[r](Fr){\texttt{cr}} +\end{pspicture} +\end{center} + +We have $4$~horizontal reference lines: the bottom line +\verb+(d)own+, the base line \verb+(b)aseline+, the median line, +or centre line \verb+(c)enter+, and the upper line \verb+(u)p+. + +There are as well $4$~vertical reference lines: the left line +\verb+(l)eft+, the base line \verb+(b)aseline+, the centre line +\verb+(c)enter+ and the right line \verb+(r)ight+. In the case of +strings, the two vertical lines \verb+l+ and \verb+b+ might be +indistinguishable and easily confounded. + +The intersection of the $4$ horizontal lines with the $4$ vertical +lines gives us $16$~positioning point possibilities \verb+dl+, +\verb+bl+, \verb+cl+, \verb+ul+, \verb+db+, \verb+bb+, \verb+cb+, +\verb+ub+, \verb+dc+, \verb+bc+, \verb+cc+, \verb+uc+, \verb+dr+, +\verb+br+, \verb+cr+, \verb+ur+. + +Of these, $4$~are considered as \textit{inner points}: \verb+bb+, +\verb+bc+, \verb+cb+ and \verb+cc+. + +When the parameter \verb+[pos]+ of \bs{psProjection} is assigned +one of these four inner points, it means that the latter will be +situated at the origin of the plane of projection. + +When the parameter \verb+[pos]+ of \bs{psProjection} is assigned +one of the twelve remaining points, it indicates the direction in +which the text will be positioned relative to the origin of the +plane of projection. + +For example, \verb+\psProjection[...,pos=uc](0,0)+ indicates that +the text will be centred relative to the point $(0,0)$ and +situated above it. + +%% Le plan doit \^{e}tre d\'{e}fini par son origine +%% \Cadre{$\mathtt{(x_0ny_0,z_0)}$} et la normale %$ +%% \Cadre{\texttt{[normal=1 0 0 90]}}. Pour les particularit\'{e}s +%% de la d\'{e}finition de la normale, car il y a trois fa\c{c}ons de le faire ! +%% Tous les d\'{e}tails sont dans la partie \Cadre{\texttt{``Choisir un plan +%% par son origine et une normale''}} de la documentation de +%% \texttt{doc-psProjection}. + +%% La taille de la fonte doit \^{e}tre fix\'{e}e en points avec l'option +%% . . + + +\subsection{Examples of projecting onto a plane} + +\subsubsection{Example 1: projection onto $Oxy$, with the option \texttt{pos=bc}} + +\begin{LTXexample}[width=8cm] +\begin{pspicture}(-4,-1.5)(4,1.5) +\psset{solidmemory} +\psset{lightsrc=10 0 10, + viewpoint=50 -90 89.99 rtp2xyz,Decran=50} +\psSolid[object=plan,definition=normalpoint,plangrid, + base=-4 4 -1 1,args={0 0 0 [0 0 1]},name=monplan,] +\psProjection[object=texte, + fontsize=20,linecolor=red, + pos=bc,plan=monplan, + text=j'aimerais tant voir Syracuse, +](0,0)% +\axesIIID(0,0,0)(4,2,1) +\composeSolid +\end{pspicture} +\end{LTXexample} + +\subsubsection{Example 2: projection onto $Oxy$, centred text} + +\begin{LTXexample}[width=8cm] +\begin{pspicture}(-4,-1.5)(4,1.5) +\psset{solidmemory} +\psset{lightsrc=10 0 10, + viewpoint=50 -90 89.99 rtp2xyz,,Decran=50} +\psSolid[object=plan,definition=normalpoint,plangrid, + base=-4 4 -1 1,args={0 0 0 [0 0 1]},name=monplan,] +\psProjection[object=texte, + fontsize=20,linecolor=red, + text= L'\^{\i}le de P\^{a}ques et Kairouan, + plan=monplan]% +\axesIIID(0,0,0)(4,2,1) +\end{pspicture} +\end{LTXexample} + + +\subsubsection{Example 3: projection onto $Oxy$, with different options +\texttt{pos=dl, etc.}} + +\begin{center} +\psset{unit=.8} +\begin{pspicture}(-4,-1.5)(4,1.5) +\psset{solidmemory} +\psset{lightsrc=10 0 10,viewpoint=50 -90 89.99 rtp2xyz,Decran=50} +\psSolid[object=plan,definition=normalpoint,plangrid, + base=-10 10 -1 1,args={0 0 0 [0 0 1]},name=monplan,] +\psProjection[object=texte, + fontsize=20,linecolor=red, + text=Et les grands oiseaux qui s'amusent, + pos=dl, + plan=monplan]% +\axesIIID(0,0,0)(8,1,1) +\rput(0,-1.5){\Cadre{\texttt{[pos=dl]}}} +\end{pspicture} +\end{center} + +\begin{center} +\psset{unit=.8} +\begin{pspicture}(-4,-1.5)(4,1.5) +\psset{solidmemory} +\psset{lightsrc=10 0 10,viewpoint=50 -90 89.99 rtp2xyz,Decran=50} +\psSolid[object=plan,definition=normalpoint,plangrid, + base=-10 10 -1 1,args={0 0 0 [0 0 1]},name=monplan,] +\psProjection[object=texte, + fontsize=20,linecolor=red, + text= A glisser l'aile sous le vent., + pos=dr, + plan=monplan]% +\axesIIID(0,0,0)(8,1,1) +\rput(0,-1.5){\Cadre{\texttt{[pos=dr]}}} +\end{pspicture} +\end{center} + +\begin{center} +\psset{unit=.8} +\begin{pspicture}(-4,-1.5)(4,1.5) +\psset{solidmemory} +\psset{lightsrc=10 0 10,viewpoint=50 -90 89.99 rtp2xyz,Decran=50} +\psSolid[object=plan,definition=normalpoint,plangrid, + base=-10 10 -1 1,args={0 0 0 [0 0 1]},name=monplan,] +\psProjection[object=texte, + fontsize=20,linecolor=red, + text=Avant que ma jeunesse s'use, + pos=ur, + plan=monplan]% +\axesIIID(0,0,0)(8,1,1) +\rput(0,-1.5){\Cadre{\texttt{[pos=ur]}}} +\end{pspicture} +\end{center} + +\begin{center} +\psset{unit=.8} +\begin{pspicture}(-4,-1.5)(4,1.5) +\psset{solidmemory} +\psset{lightsrc=10 0 10,viewpoint=50 -90 89.99 rtp2xyz,Decran=50} +\psSolid[object=plan,definition=normalpoint,plangrid, + base=-10 10 -1 1,args={0 0 0 [0 0 1]},name=monplan,] +\psProjection[object=texte, + fontsize=20,linecolor=red, + text=Et que mes printemps soient partis, + pos=ul, + plan=monplan]% +\axesIIID(0,0,0)(8,1,1) +\rput(0,-1.5){\Cadre{\texttt{[pos=ul]}}} +\end{pspicture} +\end{center} + +\begin{center} +\psset{unit=.8} +\begin{pspicture}(-4,-1.5)(4,1.5) +\psset{solidmemory} +\psset{lightsrc=10 0 10,viewpoint=50 -90 89.99 rtp2xyz,Decran=50} +\psSolid[object=plan,definition=normalpoint,plangrid, + base=-10 10 -1 1,args={0 0 0 [0 0 1]},name=monplan,] +\psProjection[object=texte, + fontsize=20,linecolor=red, + text=J'aimerais tant voir Syracuse, + pos=uc, + plan=monplan]% +\axesIIID(0,0,0)(8,1,1) +\rput(0,-1.5){\Cadre{\texttt{[pos=uc]}}} +\end{pspicture} +\end{center} + +\begin{center} +\psset{unit=.8} +\begin{pspicture}(-4,-1.5)(4,1.5) +\psset{solidmemory} +\psset{lightsrc=10 0 10,viewpoint=50 -90 89.99 rtp2xyz,Decran=50} +\psSolid[object=plan,definition=normalpoint,plangrid, + base=-10 10 -1 1,args={0 0 0 [0 0 1]},name=monplan,] +\psProjection[object=texte, + fontsize=20,linecolor=red, + text=Pour m'en souvenir \`{a} Paris., + pos=dc, + plan=monplan]% +\axesIIID(0,0,0)(8,1,1) +\rput(0,-1.5){\Cadre{\texttt{[pos=dc]}}} +\end{pspicture} +\end{center} + +\subsubsection{Example 4: projection onto $Oxy$ with text rotation} + +\begin{LTXexample}[width=8cm] +\begin{pspicture}(-4,-3)(4,3) +\psset{solidmemory} +\psset{lightsrc=10 0 10, + viewpoint=50 -90 89.99 rtp2xyz,Decran=50} +\psSolid[object=plan,definition=normalpoint,plangrid, + base=-4 4 -3 3,args={0 0 0 [0 0 1]},name=monplan,] +\psset{plan=monplan} +\psProjection[object=texte, + fontsize=28.45,linecolor=gray!50, + text=Tournez man\`{e}ges]% +\psProjection[object=texte, + fontsize=28.45,linecolor=red, + text=Tournez man\`{e}ges, + phi=60]% +\axesIIID(0,0,0)(4,3,1) +\end{pspicture} +\end{LTXexample} +The text rotation is introduced by the parameter \texttt{phi=60}. + +\subsubsection{Example 5: positioning text at a point} + +\begin{LTXexample}[width=8cm] +\begin{pspicture}(-4,-3)(4,3) +\psset{solidmemory} +\psset{viewpoint=50 -90 89.99 rtp2xyz,Decran=50} +\psSolid[object=plan,definition=normalpoint,plangrid, + base=-4 4 -3 3,args={0 0 0 [0 0 1]},name=monplan,] +\psset{fontsize=28.45,plan=monplan} +\psProjection[object=texte, + linecolor=green, + text=ici](-2,-2) +\psProjection[object=texte, + linecolor=red, + text=ou]% +\psProjection[object=texte, + linecolor=blue, + text=l\`{a}](2,2) +\psPoint(0,0,0){O} +\psPoint(-2,-2,0){O1} +\psPoint(2,2,0){O2} +\psdots[dotsize=0.2](O)(O1)(O2) +\axesIIID(0,0,0)(4,4,1) +\end{pspicture} +\end{LTXexample} + +\subsection{Examples for projecting onto a face of a solid} + +\subsubsection{Method} + +The solid must be memorised with the general option +\texttt{$\backslash$psset$\{$solidmemory$\}$}. The first thing to %$ +do is to find the numbers of the faces of the solid with the +option \texttt{[numfaces=all]}. +\begin{LTXexample}[width=8cm] +\psset{viewpoint=50 20 30 rtp2xyz,Decran=100} +\begin{pspicture}(-4,-4)(4,4) +\psSolid[object=cube,a=2,action=draw, + linecolor=red,numfaces=all]% +\axesIIID(1,1,1)(2,2,2) +\end{pspicture} +\end{LTXexample} + +Then we define the projection plane as the chosen face, where in +this case we put \texttt{A} on the face with the index number 0: + + +Then we define the projection plane by a chosen face, there we put \texttt{A} on the face with the index number 0: +\begin{verbatim} +\psSolid[object=plan,definition=solidface,args=A 0,name=P0] +\psProjection[object=texte,linecolor=red,text=A,plan=P0]% +\end{verbatim} + + +\begin{LTXexample}[width=8cm] +\psset{viewpoint=50 20 30 rtp2xyz,Decran=50} +\begin{pspicture}(-4,-4)(4,5) +\psset{unit=0.5} +\psset{solidmemory} +\psSolid[object=cube,a=8,action=draw,name=A,linecolor=red]% +\psset{fontsize=100} +\psSolid[object=plan,action=none, + definition=solidface,args=A 0,name=P0] +\psProjection[object=texte,linecolor=red,text=A,plan=P0]% +\psSolid[object=plan,action=none, + definition=solidface,args=A 1,name=P1] +\psProjection[object=texte,linecolor=red,text=B,plan=P1]% +\psSolid[object=plan,action=none, + definition=solidface,args=A 4,name=P4] +\psProjection[object=texte,linecolor=red,text=E,plan=P4]% +\axesIIID(4,4,4)(6,6,6) +\end{pspicture} +\end{LTXexample} + +\subsubsection{Text rotation with the option \texttt{phi}} + +\begin{LTXexample}[width=8cm] +\psset{viewpoint=50 20 30 rtp2xyz,Decran=50} +\psset{unit=0.4} +\begin{pspicture}(-8,-7)(4,9) +\psset{solidmemory} +\psSolid[object=cube,a=8,action=draw,linecolor=red,name=A]% +\psset{fontsize=200} +\psSolid[object=plan,action=none, + definition=solidface,args=A 0,name=P0] +\psProjection[object=texte,linecolor=gray,text=A,plan=P0]% +\psset{phi=90} +\psProjection[object=texte,linecolor=red,text=A,plan=P0]% +\axesIIID(4,4,4)(6,6,6) +\end{pspicture} +\end{LTXexample} + + +\subsection{Examples of projecting onto different faces of a solid} + +\definecolor{rose}{rgb}{1,0.75,0.74} + +\def\JuangJie{% +\begin{pspicture}(-3.5,-2)(3.5,4) +\psframe[fillcolor=cyan!50,fillstyle=solid](-3.5,-2)(3.5,4)% +\psSolid[object=cylindre,r=8,h=0.2,ngrid=1 36,action=draw**,hue=0.5 0.6]% +\psSolid[object=cube,a=8,h=0.2,ngrid=1 36,action=draw**,color1=magenta!50, + color2=red!20,color3=yellow!50,color4=green!50, + fcol=0 (color1) 1 (color2) 2 (color3) 3 (color4) 4(White)](0,0,4.2)% +\psset{solidmemory}% +\psSolid[object=cube,a=8, + name=A, + action=none](0,0,4.2)% +%% la face 0 +\psSolid[object=plan,action=none,definition=solidface, + base=-4 4 -4 4,args=A 0,name=P0]% +%\psSolid[object=plan,definition=plan,action=none,args=P0,planmarks,action=none,]% +\psset{fontsize=30,plan=P0}% +\psProjection[object=texte,text=po\`{e}me](0,3)% +\psProjection[object=texte,text=de](0,2)% +\psset{fontsize=55} +\psProjection[object=texte,linecolor=red,text=Juang Jie] +%% la face 4 +\psSolid[object=plan,action=none,definition=solidface,base=-4 4 -4 4,args=A 4,phi=-90,name=P4]% +%\psSolid[object=plan,definition=plan,action=none,args=P4,fontsize=10,planmarks,action=none]% +\psset{fontsize=28.45,pos=bc,plan=P4} +\psProjection[object=texte,text={Dans ma jeunesse,}](0,3)% +\psset{fontsize=20} +\psProjection[object=texte,text=j'\'{e}coutais le son de la pluie](0,2)% +\psProjection[object=texte,text=dans les maisons de plaisir](0,1)% +\psProjection[object=texte,text=les tentures frissonnaient]% +\psProjection[object=texte,text=sous la lumi\`{e}re rouge](0,-1)% +\psProjection[object=texte,text=des cand\'{e}labres](0,-2)% +%% la face 1 +\psSolid[object=plan,action=none,definition=solidface,base=-4 4 -4 4,args=A 1,phi=180,name=P1]% +%\psSolid[object=plan,definition=plan,action=none,args=P1,fontsize=10,planmarks,action=none]% +\psset{plan=P1} +\psProjection[object=texte,fontsize=25,text=Dans mon \^{a}ge m\^{u}r](0,3)% +\psProjection[object=texte,text=j'ai \'{e}cout\'{e} le son de la pluie](0,2)% +\psProjection[object=texte,fontsize=18,text={en voyage, \`{a} bord d'un bateau}](0,1)% +\psProjection[object=texte,text=les nuages pesaient bas]% +\psProjection[object=texte,text=sur l'immensit\'{e} du fleuve](0,-1)% +\psProjection[object=texte,text=une oie sauvage ](0,-2)% +\psProjection[object=texte,text=s\'{e}par\'{e}e de ses soeurs](0,-3)% +%% la face 2 +\psSolid[object=plan,action=none,definition=solidface,base=-4 4 -4 4,args=A 2,phi=180,name=P2]% +%\psSolid[object=plan,definition=plan,action=none,args=P2,fontsize=10,planmarks,action=none]% +\psset{plan=P2} +\psProjection[object=texte,text=appelait dans le vent d'ouest](0,3)% +\psProjection[object=texte,text={Aujourd'hui,}](0,2)% +\psProjection[object=texte,text=j'\'{e}coute le son de la pluie](0,1)% +\psProjection[object=texte,text=sous le charme]% +\psProjection[object=texte,text=d'un ermitage monastique](0,-1)% +\psProjection[object=texte,text=Ma t\^{e}te est chenue](0,-2)% +\psProjection[object=texte,text=chagrins et bonheurs](0,-3)% +%% la face 3 +\psSolid[object=plan,action=none,definition=solidface,args=A 3,phi=180,name=P3]% +%\psSolid[object=plan,definition=plan,action=none,args=P3,fontsize=10,planmarks,action=none]% +\psset{plan=P3} +\psProjection[object=texte,text=s\'{e}parations et retrouvailles](0,3)% +\psProjection[object=texte,text=tout est vanit\'{e}](0,2)% +\psProjection[object=texte,text={Dehors, sur les marches}](0,1)% +\psProjection[object=texte,text=les gouttes tambourinent]% +\psProjection[object=texte,text= jusqu'\`{a} l'aube](0,-1)% +\psProjection[object=texte,text=Juang Jie ](0,-3)% +\composeSolid +\end{pspicture}} + +\def\MollyBloom{% +%\psset{lightsrc=-15 -9 5} +%\psset{viewpoint=20 -150 30 rtp2xyz,Decran=11} +\psset{solidmemory,visibility} +%% le plan de base +\psSolid[object=plan, + definition=equation, + ngrid=1. 1., + args={[0 0 1 0]},linecolor=red, + base=-8 10 -8 8, + linecolor=red, + name=G]% +\psset{fontsize=25,,pos=bc,plan=G} +\psProjection[object=texte, + phi=-90, + text=le monologue de Molly, + pos=bc, + ](-5,0) +\psProjection[object=texte,text=dans Ulysse de James Joyce](1,-5,0) +\psset{h=1,fillcolor=yellow!50,incolor=rose,hollow} +\psset{fontsize=20,pos=cc} +% +\psSolid[object=ruban,name=ruban1,base=9 8 9 -8] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0, + text=O cet effrayant torrent tout au fond O et la mer \'{e}carlate] +% +\psSolid[object=ruban,name=ruban1,base=9 -8 -8 -8] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0, + text=quelquefois comme du feu et les glorieux couchers de soleil et] +% +\psSolid[object=ruban,name=ruban1,base=-8 7 7 7] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0,fontsize=18, + text=les ruelles bizarres les maisons roses et bleues et jaunes,] +% +\psSolid[object=ruban,name=ruban1,base=7 7 7 -6] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0, + text=et les roseraies et les jasmins et les g\'{e}raniums,] +% +\psSolid[object=ruban,name=ruban1,base=7 -6 -6 -6] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0, + text=et les cactus de Gibraltar quand j'\'{e}tais jeune fille,] +% +\psSolid[object=ruban,name=ruban1,base=-6 5 5 5] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0,fontsize=18, + text=quand j'ai mis la rose dans mes cheveux,] +% +\psSolid[object=ruban,name=ruban1,base=5 5 5 -4] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0, + text=comme les filles Andalouses,] +% +\psSolid[object=ruban,name=ruban1,base=5 -4 -3 -4] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0, + text=ou en mettrai-je une rouge oui,] +% +\psSolid[object=ruban,name=ruban1,base=-3 4 3 4] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0,fontsize=18, + text=sous le mur mauresque,] +% +\psSolid[object=ruban,name=ruban1,base=3 4 3 -2] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0, + text=je me suis dit apr\`{e}s,] +% +\psSolid[object=ruban,name=ruban1,base=3 -2 -1.5 -2] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0, + text=tout aussi bien,] +% +\psSolid[object=ruban,name=ruban1,base=-1.5 3 2 3] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0, + text=et alors je,] +\psSolid[object=ruban,name=ruban1,base=-8 -8 -8 7] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0, + text=les figuiers dans les jardins de l'Alameda et toutes,] +% +\psSolid[object=ruban,name=ruban1,base=-6 -6 -6 5] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0, + text=et une Fleur de la montagne oui,] +% +\psSolid[object=ruban,name=ruban1,base=-3 -4 -3 4] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0, + text=et comme il m'a embrass\'{e}e,] +% +\psSolid[object=ruban,name=ruban1,base=-1.5 -2 -1.5 3] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0, + text=lui qu'un autre,] +% +\composeSolid +} + +We project a poem, verse by verse, onto 4 faces of a cube. It is +necessary to use the option \texttt{solidmemory} at the beginning +\begin{verbatim} +\psset{solidmemory} +\psSolid[object=cube,a=8,name=A1](0,0,4.2)% +\end{verbatim} +of the code. We then define the cube, which is memorised with the +help of the command \texttt{name=A}: + +\begin{verbatim} +\psset{solidmemory} +\psProjection[object=texte,text=po\`{e}me,fontsize=30,plan=P0](0,3)% +\psSolid[object=cube,a=8,name=A](0,0,4.2)% +\end{verbatim} + +The number of each face needs to be known---from a previous run +of the code with the option \texttt{numfaces=all}. The following +commands: + + +\begin{verbatim} +\psSolid[object=plan,action=none,definition=solidface,args=A 0,name=P0]% +\psProjection[object=texte,text=po\`{e}me,fontsize=30,plan=P0](0,3)% +\end{verbatim} +define the plane $P0$ as the oriented plane of the face with index +number 0 of the solid $A$, before the word \texttt{po\`{e}me} is +projected onto $P0$, with a font size of 30~pts, to the point with +coordinates $(0,3)$ (within the coordinate system of that plane). +We could have changed the orientation of the text to +\texttt{phi=-90} for example, in the one or other of the commands. + +By default, if the face is not visible, its text stays hidden. By +putting \texttt{visibility} in the options, the text is shown when +it would otherwise not be, as in the following example. + +You must not forget to write \texttt{$\backslash$composeSolid} at +the end of the text-writing commands for all these lines to be +taken into account. Any other \texttt{PStricks} command will have +the usual effect and \verb+composeSolid+ will be unnecessary. + + + + +\begin{center} +\psset{viewpoint=40 20 30 rtp2xyz,Decran=16} +\JuangJie \hfil +\psset{viewpoint=40 110 30 rtp2xyz,Decran=16} +\JuangJie +\end{center} +\begin{center} +\psset{viewpoint=40 200 30 rtp2xyz,Decran=16} +\JuangJie\hfil +\psset{viewpoint=40 290 30 rtp2xyz,Decran=16} +\JuangJie +\end{center} + + +\begin{center} +\begin{pspicture}(-8,-6)(8,3) +\psset{lightsrc=-15 -9 5} +\psframe(-8,-6)(8,3) +\psset{viewpoint=20 -150 30 rtp2xyz,Decran=11}\MollyBloom +\end{pspicture} +\end{center} +\begin{center} +\begin{pspicture}(-8,-6)(8,7) +\psset{lightsrc=0 0 3} +\psframe(-8,-6)(8,7) +\psset{viewpoint=6 -150 89.9 rtp2xyz,Decran=2.8}\MollyBloom +\end{pspicture} +\end{center} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectionvecteur_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectionvecteur_en_corr.tex new file mode 100644 index 00000000000..b33c652a21b --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectionvecteur_en_corr.tex @@ -0,0 +1,85 @@ +\section{Vectors} + +\subsection{Direct definition} + +The object \texttt{vecteur} allows us to define and draw a vector. +To do so in a simple way, we use the option \verb+args+ to define +its components $(x,y)$ and we specify the point from where the +vector starts with the macro \bs{psProjection} (or we may use a +named point). + +As with points, we can save the components of a vector using the +option \texttt{name}. + +\begin{LTXexample}[width=7.5cm] +\begin{pspicture}(-3,-3)(4,3.5)% +\psframe*[linecolor=blue!50](-3,-3)(4,3.5) +\psset{viewpoint=50 30 15,Decran=60} +\psset{solidmemory} +%% definition du plan de projection +\psSolid[object=plan, + definition=equation, + args={[1 0 0 0] 90}, + planmarks, + name=monplan] +\psset{plan=monplan} +%% definition du point A +\psProjection[object=point, + args=-2 0.75, + name=A,text=A, + pos=dl] +\psProjection[object=vecteur, + linecolor=red, + args=1 1, + name=U](1,0) +\psProjection[object=vecteur, + args=U, + linecolor=blue](A) +\composeSolid +\axesIIID(4,2,2)(5,4,3) +\end{pspicture} +\end{LTXexample} + + +\subsection{Some more definitions} + +There are other methods to define a vector in 2D. The options +\texttt{definition} and \texttt{args} allow a variety of supported +methods: + +\begin{itemize} + +\item \texttt{[definition=vecteur]}; +\verb+args=+ $A$ $B$. + +The vector $\overrightarrow {AB}$ + +\item \texttt{[definition=orthovecteur]}; +\verb+args=+ $u$. + +A vector perpendicular to $\vec u$ with the same length. + +\item \texttt{[definition=normalize]}; +\verb+args=+ $u$. + +The vector $\Vert \vec u \Vert ^{-1} \vec u$ +if $\vec u \neq \vec 0$, and $\vec 0$ otherwise. + +\item \texttt{[definition=addv]}; +\verb+args=+ $u$ $v$. + +The vector $\vec u + \vec v$ + +\item \texttt{[definition=subv]}; +\verb+args=+ $u$ $v$. + +The vector $\vec u - \vec v$ + +\item \texttt{[definition=mulv]}; +\verb+args=+ $u$ $\alpha $. + +The vector $\alpha \vec u$ + +\end{itemize} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectionvisibility_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectionvisibility_en_corr.tex new file mode 100644 index 00000000000..a87dbe6f5dd --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projectionvisibility_en_corr.tex @@ -0,0 +1,11 @@ +\section{The parameter \texttt{visibility}} + +For all projections, the Boolean \texttt{[visibility]} +(\verb+true+ by default) specifies whether or not to have the +projection made visible. + +Set to \verb+false+, the projection is always carried out. Set to +\verb+true+, the projection is only carried out when the plane of +projection is visible from the viewpoint of the observer. + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projpresentation_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projpresentation_en_corr.tex new file mode 100644 index 00000000000..65784354e94 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-projpresentation_en_corr.tex @@ -0,0 +1,15 @@ +\section{Presentation} + + +The package allows the representation and manipulation of some +simple objects in two dimensions (2D). The macro \bs{psProjection} +can project these 2D objects onto a chosen plane. + +The syntax is analogous to that of \bs{psSolid}, with an +obligatory option \texttt{[object=]}, that allows us to specify +the type of object to be projected. + +The general syntax is \texttt{\textbackslash +psSolid[object=objectname,plan=plantype,<options>](x,y)} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-ruban_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-ruban_en_corr.tex new file mode 100644 index 00000000000..4530ef3e69d --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-ruban_en_corr.tex @@ -0,0 +1,120 @@ +\section{Solid strip} + +The strip is a folding screen positioned horizontally on the floor. The base of the folding screen is defined in the plane $Oxy$ by the coordinates of its vertices by the parameter \verb+base+: +\begin{verbatim} +\psSolid[object=ruban,h=3,base=x1 y1 x2 y2 x3 y3 ...xn yn,ngrid=n](0,0,0)% +\end{verbatim} + +\subsection{A simple folding screen} +\begin{LTXexample}[width=9.5cm] +\psset{lightsrc=10 0 10,viewpoint=50 -20 30 rtp2xyz,Decran=50,unit=0.75} +\begin{pspicture}(-5.5,-4.5)(7,5) +\psSolid[object=grille,base=-4 6 -4 4,action=draw,linecolor=gray](0,0,0) +\psSolid[object=ruban,h=3,fillcolor=red!50, + base=0 0 2 2 4 0 6 2, + num=0 1 2 3, + show=0 1 2 3, + ngrid=3 + ](0,0,0) +\axesIIID(0,2,0)(6,6,4.5) +\end{pspicture} +\end{LTXexample} + + +\subsection{A sinusoidal folding screen} +\psset{lightsrc=10 30 10,viewpoint=50 50 20 rtp2xyz,Decran=50} +\begin{LTXexample} +\psset{unit=0.35} +\begin{pspicture}(-10,-6)(12,8) +\defFunction{F}(t){2 t 4 mul cos mul}{t 20 div}{} +\psSolid[object=grille,base=-6 6 -10 10,action=draw,linecolor=gray](0,0,0) +\psSolid[object=ruban,h=2,fillcolor=red!50, + resolution=72, + base=-200 200 {F} CourbeR2+, %% -200 5 200 {/Angle ED 2 Angle 4 mul cos mul Angle 20 div } for, + ngrid=4](0,0,0) +\axesIIID(5,10,0)(7,11,6) +\end{pspicture} +\end{LTXexample} + + +\subsection{A corugated surface} +This is the same object as before with an additional rotation of $90^{\mathrm{o}}$ around $Oy$. + +\psset{lightsrc=10 30 10,viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{LTXexample} +\psset{unit=0.4} +\begin{pspicture}(-14,-7)(8,5) +\defFunction{F}(t){t 4 mul cos}{t 20 div}{} +\psSolid[object=grille,base=0 16 -10 10,action=draw,linecolor=gray](0,0,0) +\psSolid[object=ruban,h=16,fillcolor=red!50,RotY=90,incolor=green!20, + resolution=72, + base=-200 200 {F} CourbeR2+, + ngrid=16](0,0,1) +\axesIIID(16,10,0)(20,12,6) +\end{pspicture} +\end{LTXexample} + +We can then imagine it to be like a corrugated iron roof of a shed. + + +\subsection{An asteroidal folding screen: version 1} + +The contour of the folding screen is defined within a loop: +\begin{verbatim} + base=0 72 360 {/Angle ED 5 Angle cos mul 5 Angle sin mul + 3 Angle 36 add cos mul 3 Angle 36 add sin mul} for +\end{verbatim} +the blueish surface on the bottom is defined with the help of a polygon, where the vertices are calculated by the command\\ +\verb+\psPoint(x,y,z){P}+ +\begin{verbatim} +\multido{\iA=0+72,\iB=36+72,\i=0+1}{6}{% + \psPoint(\iA\space cos 5 mul,\iA\space sin 5 mul,0){P\i} + \psPoint(\iB\space cos 3 mul,\iB\space sin 3 mul,0){p\i} + }% +\pspolygon[fillstyle=solid,fillcolor=blue!50](P0)(p0)(P1)(p1)(P2)(p2) + (P3)(p3)(P4)(p4)(P5)(p5) +\end{verbatim} + +\psset{lightsrc=10 0 10,viewpoint=50 20 30 rtp2xyz,Decran=50} +\begin{LTXexample}[width=7.5cm] +\psset{unit=0.45} +\begin{pspicture}(-9,-5)(9,7) +\multido{\iA=0+72,\iB=36+72,\i=0+1}{6}{% + \psPoint(\iA\space cos 5 mul,\iA\space sin 5 mul,0){P\i} + \psPoint(\iB\space cos 3 mul,\iB\space sin 3 mul,0){p\i} + }% +\pspolygon[fillstyle=solid,fillcolor=blue!50](P0)(p0)(P1)(p1)(P2)(p2)(P3)(p3)(P4)(p4)(P5)(p5) +\defFunction{F}(t){t cos 5 mul}{t sin 5 mul}{} +\defFunction{G}(t){t 36 add cos 3 mul}{t 36 add sin 3 mul}{} +\psSolid[object=grille,base=-6 6 -6 6,action=draw,linecolor=gray](0,0,0) +\psSolid[object=ruban,h=1,fillcolor=red!50, + base=0 72 360 {/Angle exch def Angle F Angle G} for, + num=0 1 2 3,show=0 1 2 3,ngrid=2](0,0,0) +\axesIIID(5,5,0)(6,6,6) +\end{pspicture} +\end{LTXexample} + + +\subsection{An asteroidal folding screen: version 2} + +The bottom of the pot is defined by the object \verb+face+ with the option +\verb+biface+: + +\psset{lightsrc=10 0 10,viewpoint=50 -20 20 rtp2xyz,Decran=50} +\begin{LTXexample}[width=7.5cm] +\psset{unit=0.4} +\begin{pspicture}(-9,-4)(9,7) +\defFunction{F}(t){t cos 5 mul}{t sin 5 mul}{} +\defFunction{G}(t){t 36 add cos 3 mul}{t 36 add sin 3 mul}{} +\psSolid[object=face,fillcolor=blue!50,biface, + base=0 72 360 {/Angle exch def Angle F Angle G} for,](0,0,0) +\psSolid[object=grille,base=-6 6 -6 6,action=draw,linecolor=gray](0,0,0) +\psSolid[object=ruban,h=1,fillcolor=red!50, + base=0 72 360 {/Angle exch def Angle F Angle G} for, + ngrid=2](0,0,0) +\axesIIID(5,5,0)(6,6,6) +\end{pspicture} +\end{LTXexample} + + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-section_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-section_en_corr.tex new file mode 100644 index 00000000000..5372ef07b5f --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-section_en_corr.tex @@ -0,0 +1,955 @@ +\section{Sectioning a solid with a plane} + +\subsection{Drawing the intersection between a plane and a solid} + +\subsubsection{The parameters} + +The option \texttt{intersectionplan=\{[a b c d]\}} allows the user +to draw the intersection between a plane and a solid. The numbers +between the braces are the coefficients of the affine plane with +equation: $ax+by+cz+d=0$. It is possible to draw the intersection +between a solid and more than one plane by placing the appropriate +parameters in order, as in the following example. + +The drawing is activated with \verb+[intersectiontype=0]+ or any +value $\geq0$. + +The colour of the intersection line is chosen with the option +\verb+[intersectioncolor=(bleu) (rouge) etc.]+. In the same order, +the thickness of the appropriate line +\verb+[intersectionlinewidth=1 2 etc.]+ (dimensions in picas) is +set up. + + +The hidden parts, drawn with dashed lines, will be shown with +\verb+[action=draw]+. + +\begin{LTXexample}[width=7cm] +\begin{pspicture}(-3,-2)(3,7.5) +\psset{viewpoint=50 20 20 rtp2xyz,Decran=50} +\psset{lightsrc=viewpoint} \psSolid[object=cylindre, + ngrid=1 24, + r=2, + fillcolor=yellow!25, + intersectiontype=0, + intersectionplan={ + [0 0 1 -1] + [0 0 1 -2] + [0 0 1 -3] + [0.894 0 0.447 -1.8]}, + intersectioncolor=(bleu) (rouge) (vert) (rose), + intersectionlinewidth=1 1.5 1.8 2.2] +\axesIIID(2,2,6)(3,3,7) +\end{pspicture} +\end{LTXexample} + +\subsection{Slicing a solid} + +\subsubsection{Slicing a filled solid} + +The object under consideration is a cylinder. The plane that +slices the object is defined by: + + \begin{verbatim} + plansepare={[a b c d]} + \end{verbatim} + +The two parts are not drawn, but memorised with the name +\texttt{name=partiescylindre}: + + \begin{verbatim} +\psset{solidmemory} +\psSolid[object=cylindre, + r=2,h=6 + ngrid=6 24, + plansepare={[0.707 0 0.707 0]}, + name=partiescylindre, + action=none](0,0,-3) + \end{verbatim} + + +Then they are displayed separately using their respective index +numbers. The numbering of the two parts is determined by the +direction of the normal to the slicing plane: 0 if above the +normal, 1 if below. For both parts, the sliced face carries the +number 0. If there are several sliced faces, as may happen in the +case of a torus, they are numbered 0, 1 etc. + + + \begin{verbatim} +\psSolid[object=load, + load=partiescylindre1, + fillcolor={[rgb]{0.7 1 0.7 }}, + fcol=0 (1 1 0.7 setrgbcolor)] +\psSolid[object=load, + load=partiescylindre0,RotZ=60, + fillcolor={[rgb]{0.7 1 0.7 }}, + fcol=0 (1 1 0.7 setrgbcolor)](0,4,0) + \end{verbatim} + +\begin{center} +\begin{pspicture}(-4,-5)(7,4) +\psframe(-4,-5)(7,4) +\psset{viewpoint=50 -40 10 rtp2xyz,Decran=50,linecolor=darkgray} +%\lightsource +\psset{lightsrc=viewpoint} +\psSolid[object=grille,action=draw, + base=-3 5 -3 5, + linecolor=red](0,0,-3) +\psset{solidmemory} +\psSolid[object=cylindre, + r=2,h=6, + ngrid=6 24, + plansepare={[0.707 0 0.707 0]}, + name=partiescylindre, + action=none](0,0,-3) +\psSolid[object=load, + load=partiescylindre1, + fillcolor={[rgb]{0.7 1 0.7 }}, + fcol=0 (1 1 0.7 setrgbcolor)] +\psSolid[object=load, + load=partiescylindre0,RotZ=90, + fillcolor={[rgb]{0.7 1 0.7 }}, + fcol=0 (1 1 0.7 setrgbcolor)](0,4,0) +\psSolid[object=plan,action=draw, + definition=equation, + args={[0.707 0 0.707 0] 90}, + base=-2 2 -3 3,planmarks,showBase] +\axesIIID(0,0,0)(2.5,2.5,3.5) +\end{pspicture} +\end{center} + +\subsubsection{Slicing a hollow solid} + +The options \verb+[rm=0,hollow]+ allow us to not only remove a +face \verb+[rm=0]+ but also to see inside it \verb+[hollow]+. + +\begin{center} +\begin{pspicture}(-4,-5)(7,4) +\psframe(-4,-5)(7,4) +\psset{viewpoint=50 -40 10 rtp2xyz,Decran=50,linecolor=darkgray} +%\lightsource +\psset{lightsrc=viewpoint} +\psSolid[object=grille,action=draw, + base=-3 5 -3 5, + linecolor=red](0,0,-3) +\psset{solidmemory} +\psSolid[object=cylindre, + r=2,h=6, + ngrid=6 24, + plansepare={[0.707 0 0.707 0.5]}, + name=partiescylindre, + action=none](0,0,-3) +\psSolid[object=load, + load=partiescylindre1, + fillcolor={[rgb]{0.7 1 0.7 }}, + rm=0,hollow, + incolor={[rgb]{1 1 0.7}}] +\psSolid[object=load, + load=partiescylindre0,RotZ=90, + fillcolor={[rgb]{0.7 1 0.7 }}, + rm=0,hollow, + incolor={[rgb]{1 1 0.7}}](0,4,0) +\psSolid[object=plan,action=draw, + definition=equation, + args={[0.707 0 0.707 0.5] 90}, + base=-2 2 -3 3,planmarks,showBase] +\composeSolid +\end{pspicture} +\end{center} + + +\subsection{Slice of a pyramid} + +\subsubsection{Highlighting the contour lines and first slice} + +This pyramid is generated as \verb+[object=new]+ by giving a list +of the coordinates of the vertices, and the vertices of each face. + +\begin{verbatim} + sommets= + 0 -2 0 %% 0 + -2 0 0 %% 1 + 0 4 0 %% 2 + 4 0 0 %% 3 + 0 0 5, %% 4 + faces={ + [3 2 1 0] + [4 0 3] + [4 3 2] + [4 2 1] + [4 1 0] +} +\end{verbatim} + +In the first diagram, the slicing lines are highlighted. + + \begin{verbatim} + intersectiontype=0, + intersectionplan={[0 0 1 -1] [0 0 1 -2]}, + intersectionlinewidth=1 2, + intersectioncolor=(bleu) (rouge) + \end{verbatim} + +Then we cut off the upper part, and draw the slicing plane as +well. + + \begin{verbatim} +\psSolid[object=new, + sommets= + 0 -2 0 %% 0 + -2 0 0 %% 1 + 0 4 0 %% 2 + 4 0 0 %% 3 + 0 0 5, %% 4 + faces={ + [3 2 1 0] + [4 0 3] + [4 3 2] + [4 2 1] + [4 1 0]}, + plansepare={[0 0 1 -2]}, + name=firstSlice, + action=none] +\psSolid[object=load,action=draw*, + load=firstSlice1] +\psSolid[object=plan, + definition=equation, + args={[0 0 1 -2]}, + base=-3 5 -3 5,action=draw] + \end{verbatim} + +To avoid having to repeatedly type the vertices and faces of the +pyramid, we save these data to the files: +\begin{itemize} + \item \texttt{Pyramid-couleurs.dat} + \item \texttt{Pyramid-faces.dat} + \item \texttt{Pyramid-sommets.dat} + \item \texttt{Pyramid-io.dat} +\end{itemize} +thanks to the command \verb+[action=writesolid]+: + + \begin{verbatim} +\psSolid[object=new, + sommets= + 0 -2 0 %% 0 + -2 0 0 %% 1 + 0 4 0 %% 2 + 4 0 0 %% 3 + 0 0 5, %% 4 + faces={ + [3 2 1 0] + [4 0 3] + [4 3 2] + [4 2 1] + [4 1 0] +},file=Pyramid,fillcolor=yellow!50, + action=writesolid] + \end{verbatim} + +All these lines of code could then be removed and, thereafter, we +would recall the data with the command: + + \begin{verbatim} +\psSolid[object=datfile, + file=Pyramid] + \end{verbatim} + +\begin{center} +\psset{unit=0.75} +\begin{pspicture}(-5,-2)(5,7) +%\psframe(-5,-2)(5,7) +\psset{viewpoint=50 20 10 rtp2xyz,Decran=50} +%\lightsource +\psset{lightsrc=viewpoint} +\psSolid[object=grille, + base=-3 5 -3 5, + linecolor=gray] +%% create the pyramid with base area in xy-plane +\psSolid[object=new, + sommets= + 0 -2 0 %% 0 + -2 0 0 %% 1 + 0 4 0 %% 2 + 4 0 0 %% 3 + 0 0 5, %% 4 +faces={ + [3 2 1 0] + [4 0 3] + [4 3 2] + [4 2 1] + [4 1 0] +}, action=draw*, + intersectiontype=0, + intersectionplan={[0 0 1 -1] + [0 0 1 -2]}, + intersectionlinewidth=1 2, + intersectioncolor=(bleu) (rouge)] +\axesIIID[linecolor=blue](4,4,5)(5,5,6) +\end{pspicture} +\hfill +\begin{pspicture}(-5,-2)(5,7) +%\psframe(-5,-2)(5,7) +\psset{viewpoint=50 20 10 rtp2xyz,Decran=50} +%\lightsource +\psset{lightsrc=viewpoint} +\psSolid[object=grille, + base=-3 5 -3 5, + linecolor=gray] +\psset{solidmemory} +%% create the pyramid with base area in xy-plane +\psSolid[object=new, + sommets= + 0 -2 0 %% 0 + -2 0 0 %% 1 + 0 4 0 %% 2 + 4 0 0 %% 3 + 0 0 5, %% 4 +faces={ + [3 2 1 0] + [4 0 3] + [4 3 2] + [4 2 1] + [4 1 0] +}, + plansepare={[0 0 1 -2]}, + name=firstSlice, + action=none] +\psSolid[object=load,action=draw*, + load=firstSlice1] +\psSolid[object=plan, + definition=equation, + args={[0 0 1 -2]}, + base=-3 5 -3 5,action=draw] +\axesIIID[linecolor=blue](4,4,2)(5,5,6) +\end{pspicture} +\end{center} + +\subsubsection{The second slice and its insertion within the pyramid} + +Having removed the upper part \texttt{firstSlice0} (which no +longer appears), we slice the frustum of the pyramid +\texttt{firstSlice1}, and keep the upper part of this as +\texttt{secondSlice0}, then we record it and insert it into a wire +frame model of the pyramid: + + + \begin{verbatim} +\psset{solidmemory} +\psSolid[object=datfile, + file=Pyramid, + plansepare={[0 0 1 -2]}, + name=firstSlice, + action=none] +\psSolid[object=load, + load=firstSlice1, + action=none, + plansepare={[0 0 1 -1]}, + name=secondSlice] +\psSolid[object=load,action=draw*, + load=secondSlice0] +\psSolid[object=load, + load=secondSlice0, + file=slicePyramid, + action=writesolid] +\psSolid[object=datfile,fillcolor=yellow!50, + file=slicePyramid] + \end{verbatim} + + +\begin{center} +\psset{unit=0.75} +\begin{pspicture}(-5,-2)(4,7) +%\psframe(-4,-2)(4,7) +\psset{viewpoint=50 20 10 rtp2xyz,Decran=50} +%\lightsource +\psset{lightsrc=viewpoint} +\psSolid[object=grille, + base=-3 5 -3 5, + linecolor=gray] +\psset{solidmemory} +%% create the pyramid with base area in xy-plane +%\psSolid[object=new, +% sommets= +% 0 -2 0 %% 0 +% -2 0 0 %% 1 +% 0 4 0 %% 2 +% 4 0 0 %% 3 +% 0 0 5, %% 4 +% faces={ +% [3 2 1 0] +% [4 0 3] +% [4 3 2] +% [4 2 1] +% [4 1 0] +%},file=Pyramid,fillcolor=yellow!50, +% action=writesolid] +\psSolid[object=datfile, + file=Pyramid, + plansepare={[0 0 1 -2]}, + name=firstSlice, + action=none] +\psSolid[object=plan, + definition=equation, + args={[0 0 1 -1]},action=draw, + base=-3 5 -3 5] +\psSolid[object=load, + load=firstSlice1, + action=none, + plansepare={[0 0 1 -1]}, + name=secondSlice] +%\psSolid[object=load,action=draw*, +% load=secondSlice0] +%\psSolid[object=load, +% load=secondSlice0, +% file=slicePyramid, +% action=writesolid] +\psSolid[object=datfile,fillcolor=yellow!50, + file=slicePyramid] +\psSolid[object=plan, + definition=equation, + args={[0 0 1 -2]}, + base=-3 5 -3 5,action=draw] +\axesIIID[linecolor=blue](0,0,2)(5,5,6) +\end{pspicture} +\hfill +\begin{pspicture}(-4,-2)(6,7) +\psset{viewpoint=50 20 10 rtp2xyz,Decran=50} +%\lightsource +\psset{lightsrc=viewpoint} +\psSolid[object=grille, + base=-3 5 -3 5, + linecolor=gray] +\psSolid[object=datfile,fillcolor=yellow!50, + file=slicePyramid] +\psSolid[object=datfile, + file=Pyramid,action=draw] +\axesIIID[linecolor=blue](4,4,2)(5,5,6) +\end{pspicture} +\end{center} + +\subsection{Slicing an octahedron with a plane parallel to one of its faces} + +\subsubsection{The view inside} + +Recall that there are options \verb+[rm=0,hollow]+ that allow us, +on the one hand, to remove a face \verb+[rm=0]+ and, on the other, +to look inside \texttt{hollow}. + +In the following example, we shall start by generating the +required objects without drawing them (\verb+action=none+). + +We construct the octahedron, giving the center of the face with +index $1$ the name $G$, then define the point $H$ which satisfies +$\overrightarrow{OH} = 0.8\,\overrightarrow{OG}$. After that we +define $P$ to be the plane through $H$ parallel to the face of the +octahedron with index $1$. Finally, we slice the octahedron using +the plane $P$. + +\begin{LTXexample}[width=7.5cm] +\begin{pspicture}(-3.5,-3)(4.5,5) +\psset{viewpoint=100 5 10 rtp2xyz,Decran=80, + lightsrc=viewpoint,solidmemory,action=none} +\psSolid[object=octahedron, + a=4,name=my_octahedron,] +\psSolid[object=point, + definition=solidcentreface, + args=my_octahedron 1, + name=G,] +\psSolid[object=point, + definition=mulv3d, + args=G .8, + name=H,] +\psSolid[object=plan, + definition=solidface, + args=my_octahedron 1, + base=-4 4 -4 4, + name=P,](H,,) +\psSolid[object=load, + load=my_octahedron, + plansepare=P, + name=part] +\psSolid[object=load,load=part1, + rm=0,hollow,action=draw**, + fillcolor={[rgb]{0.7 1 0.7}}, + incolor={[rgb]{1 1 0.7}},] +\psSolid[object=plan,args=P, + action=draw,showBase] +\psSolid[object=line, + args=0 0 0 H, + linestyle=dashed,] +\psProjection[object=point,plan=P,args=0 0, + fontsize=20,pos=cl,text=H,phi=90,] +\axesIIID[linecolor=blue,linewidth=0.4pt](0,0,0)(4,4,4) +\end{pspicture} +\end{LTXexample} + +\subsubsection{Regarding the solid as filled} + +The option \verb+[fcol=0 (YellowOrange)]+ allows us to colour the +face with index 0. + +\begin{LTXexample}[width=7.5cm] +\begin{pspicture}(-3.5,-3)(4.5,5) +\psset{viewpoint=100 5 10 rtp2xyz,Decran=80, + lightsrc=viewpoint,solidmemory,action=none} +\psSolid[object=octahedron, + a=4,name=my_octahedron,] +\psSolid[object=point, + definition=solidcentreface, + args=my_octahedron 1, + name=G,] +\psSolid[object=point, + definition=mulv3d, + args=G .8, + name=H,] +\psSolid[object=plan, + definition=solidface, + args=my_octahedron 1, + base=-4 4 -4 4, + name=P,](H,,) +\psSolid[object=load, + load=my_octahedron, + plansepare=P, + name=part] +\psSolid[object=load, + load=part1, + fcol=0 (YellowOrange), + action=draw**, + fillcolor={[rgb]{0.7 1 0.7}},] +\psSolid[object=plan,args=P, + action=draw,showBase] +\psSolid[object=line, + args=0 0 0 H, + linestyle=dashed,] +\psProjection[object=point,plan=P,args=0 0, + fontsize=20,pos=cl,text=H,phi=90,] +\axesIIID[linecolor=blue,linewidth=0.4pt](0,0,0)(4,4,4) +\end{pspicture} +\end{LTXexample} + +\subsubsection{The two parts of a sliced solid} + +You will recall that the direction of the normal of the slicing +plane determines the numbering of the two parts: 0 if above the +normal, 1 if below. For both parts, the sliced face carries the +number 0. If there are several sliced faces, as in the case of the +torus, they are numbered 0, 1 etc. + +Using two steps, we memorise both parts of the sliced solid: + + \begin{verbatim} +\psSolid[object=load, + load=my_octahedron, + plansepare=P, + name=part] + \end{verbatim} + +Then we position and render each part: + + \begin{verbatim} +\psSolid[object=load, + fcol=0 (YellowOrange), + fillcolor={[rgb]{0.7 1 0.7}}, + load=part1] +\psSolid[object=load, + fillcolor={[rgb]{0.7 1 0.7}}, + load=part0](H 2 mulv3d,,) +\composeSolid + \end{verbatim} + + +\begin{LTXexample}[width=7.5cm] +\begin{pspicture}(-3.5,-3)(4.5,5) +\psset{viewpoint=100 5 20 rtp2xyz,Decran=150, + lightsrc=viewpoint,solidmemory,action=none} +\psSolid[object=octahedron, + a=2,name=my_octahedron,] +\psSolid[object=point, + definition=solidcentreface, + args=my_octahedron 1, + name=G,] +\psSolid[object=point, + definition=mulv3d, + args=G .7, + name=H,] +\psSolid[object=plan, + definition=solidface, + args=my_octahedron 1, + base=-4 4 -4 4, + name=P,](H,,) +\psSolid[object=load, + load=my_octahedron, + plansepare=P, + name=part] +\psset{action=draw**} +\psSolid[object=load, + load=part1, + fcol=0 (YellowOrange), + fillcolor={[rgb]{0.7 1 0.7}},] +\psSolid[object=load, + fillcolor={[rgb]{0.7 1 0.7}}, + load=part0](H 2 mulv3d,,) +\composeSolid +\end{pspicture} +\end{LTXexample} + +\subsection{Slices of a cube} + +\subsubsection{Highlighting the edges of the cut} + +\begin{LTXexample}[width=8cm] +\psset{viewpoint=100 30 20 rtp2xyz,Decran=150} +\begin{pspicture}(-4,-3)(4,5) +\psset{solidmemory} +\psSolid[object=plan,definition=normalpoint, + args={1 1 1 [1 1 1]},action=none,name=P] +\psSolid[object=cube,a=2,action=draw, + intersectiontype=0, + intersectionplan=P, + intersectionlinewidth=2, + intersectioncolor=(rouge), +](1,1,1) +\psProjection[object=point, + args=0 0,fontsize=10,pos=dc, + text=H,phi=-30,plan=P, +] +\psSolid[object=line, + linestyle=dashed, + args=0 0 0 1 1 1] +\psSolid[object=vecteur, + linecolor=red, + args=1 1 1 .7 mulv3d](1,1,1) +\axesIIID[linecolor=blue](2,2,2)(2.5,2.5,2.5) +\end{pspicture} +\end{LTXexample} + +\subsubsection{Showing the sliced cube with its hexagonal cut face} + +\begin{LTXexample}[width=8cm] +\psset{viewpoint=100 30 20 rtp2xyz,Decran=150} +\begin{pspicture}(-4,-3)(4,5) +\psset{solidmemory} +\psSolid[object=plan,action=none,definition=normalpoint, + args={1 1 1 [1 1 1]},name=P] +\psSolid[object=cube,a=2, + plansepare=P, + action=none, + name=parts_cube, +](1,1,1) +\psSolid[object=load, + load=parts_cube1, + fcol=0 (Dandelion), + fillcolor={[rgb]{0.7 1 0.7}}, +] +\psProjection[object=point, + args=0 0,fontsize=10,pos=dc, + text=H,phi=-30,plan=P, +] +\psSolid[object=vecteur, + linecolor=red, + args=1 1 1 .7 mulv3d](1,1,1) +\axesIIID[linecolor=blue](2,2,2)(2.5,2.5,2.5) +\end{pspicture} +\end{LTXexample} + +\subsubsection{The sliced cube in various positions} + +Where we use the option that allows us to memorise a solid, in +order to put the truncated cube, after undergoing various +transformations, down on its cut face. + + \begin{verbatim} +\psset{solidmemory} +\psSolid[object=datfile, + fcol=0 (Dandelion), + fillcolor={[rgb]{0.7 1 0.7}}, + name=C1, + action=none, + file=cubeHexagone] + \end{verbatim} + + +\begin{center} +\begin{pspicture}(-3,-3)(3,3) +\psframe(-3,-2)(3,3) +\psset{viewpoint=100 30 20 rtp2xyz,Decran=100} +%\lightsource +\psset{lightsrc=viewpoint} +\psSolid[object=grille, + base=-2 3 -2 3, + linecolor=gray] +\psSolid[object=datfile, + fcol=0 (Dandelion), + fillcolor={[rgb]{0.7 1 0.7}}, + file=cubeHexagone] +\axesIIID[linecolor=blue](2,2,2)(2.5,2.5,2.5) +\end{pspicture} + +\hfil + +\begin{pspicture}(-2,-3)(4,3) +\psframe(-2,-2)(4,3) +\psset{viewpoint=100 -30 20 rtp2xyz,Decran=100} +%\lightsource +\psset{lightsrc=viewpoint} +\psSolid[object=grille, + base=-2 3 -2 3, + linecolor=gray] +\psSolid[object=datfile, + fcol=0 (Dandelion), + fillcolor={[rgb]{0.7 1 0.7}}, + file=cubeHexagone] +\axesIIID[linecolor=blue](2,2,2)(2.5,2.5,2.5) +\end{pspicture} + +\begin{pspicture}(-3,-2)(3,3) +\psframe(-3,-2)(3,3) +\psset{viewpoint=100 225 20 rtp2xyz,Decran=100} +%\lightsource +\psset{lightsrc=viewpoint} +\psSolid[object=grille, + base=-2 3 -2 3, + linecolor=gray] +\psSolid[object=datfile, + fcol=0 (Dandelion), + fillcolor={[rgb]{0.7 1 0.7}}, + file=cubeHexagone] +\axesIIID[linecolor=blue](0,0,0)(2.5,2.5,2.5) +\end{pspicture} +\hfil +\begin{pspicture}(-3,-2)(3,3) +\psframe(-3,-2)(3,3) +\psset{viewpoint=100 30 20 rtp2xyz,Decran=100} +%\lightsource +\psset{lightsrc=viewpoint} +\psSolid[object=grille, + base=-2 3 -2 3, + linecolor=gray] +\psset{solidmemory} +\psSolid[object=datfile, + fcol=0 (Dandelion), + fillcolor={[rgb]{0.7 1 0.7}}, + name=C1, + action=none, + file=cubeHexagone] +\codejps{C1 {-1.5 -1.5 0 translatepoint3d} solidtransform +drawsolid** +} +\axesIIID[linecolor=blue](0,0,0)(2.5,2.5,2.5) +\end{pspicture} + +\begin{pspicture}(-3,-2)(3,4) +\psframe(-3,-2)(3,3) +\psset{viewpoint=100 30 20 rtp2xyz,Decran=100} +%\lightsource +\psset{lightsrc=viewpoint} +\psSolid[object=grille, + base=-2 3 -2 3, + linecolor=gray] +\psset{solidmemory} +\psSolid[object=datfile, + fcol=0 (Dandelion), + fillcolor={[rgb]{0.7 1 0.7}}, + name=C1, + action=none, + file=cubeHexagone] +\codejps{C1 {-1.5 -1.5 0 translatepoint3d} solidtransform + {0 0 45 rotateOpoint3d} solidtransform +drawsolid** +} +%\composeSolid +\axesIIID[linecolor=blue](0,0,0)(2.5,2.5,2.5) +\end{pspicture} +\hfil +\begin{pspicture}(-3,-2)(3,4) +\psframe(-3,-2)(3,3) +\psset{viewpoint=100 30 20 rtp2xyz,Decran=100} +%\lightsource +\psset{lightsrc=viewpoint} +\psSolid[object=grille, + base=-2 3 -2 3, + linecolor=gray] +\psset{solidmemory} +\psSolid[object=datfile, + fcol=0 (Dandelion), + fillcolor={[rgb]{0.7 1 0.7}}, + name=C1, + action=none, + file=cubeHexagone] +\codejps{C1 {-1.5 -1.5 0 translatepoint3d} solidtransform + {0 0 45 rotateOpoint3d} solidtransform + {-35.2644 -90 add 0 0 rotateOpoint3d} solidtransform +drawsolid* +} +\axesIIID[linecolor=blue](1,2.5,0.5)(2.5,3,2.5) +\end{pspicture} +\end{center} + + +\subsection{Multiple sections} + +\subsubsection{Slicing a sphere with \texttt{PStricks}} + +\begin{LTXexample}[width=8cm] +\begin{pspicture}(-4,-4)(4,4) +\psset{viewpoint=100 20 20 rtp2xyz,Decran=75} +\psset{solidmemory,lightsrc=viewpoint} +\codejps{ + /coeff 0.75 def /rO 4 def /OH coeff rO mul neg def}% +\psSolid[object=sphere, + r=rO,ngrid=9 18, + plansepare={[1 0 0 OH]}, + name=part, + action=none] +\psSolid[object=load, + load=part1,plansepare={[-1 0 0 OH]},action=none,name=part] +\psSolid[object=load, + load=part1,plansepare={[0 1 0 OH]},action=none,name=part] +\psSolid[object=load, + load=part1,plansepare={[0 -1 0 OH]},action=none,name=part] +\psSolid[object=load, + load=part1,plansepare={[0 0 1 OH]},action=none,name=part] +\psSolid[object=load, + load=part1,plansepare={[0 0 -1 OH]},action=none,name=part] +\psSolid[object=load,hue=.1 .8 0.5 1, + load=part1](0,0,0) +\composeSolid +\end{pspicture} +\end{LTXexample} + +\subsubsection{Multiple sections of a parallelepiped} + +Multiple sections are better carried out inside a PostScript loop, +within \verb+\codejps+; it's easier and quicker! + +In this example, the original solid is a parallelepiped. +Truncations of the vertices and chamfering of the edges are +effected by means of slicing planes, starting off with the +vertices and finishing with the edges. + +\begin{LTXexample}[width=7cm] +\begin{pspicture}(-3.5,-4)(3.5,4) +\psset{viewpoint=100 -20 10 rtp2xyz,Decran=100} +%\lightsource +\psset{lightsrc=viewpoint} +\codejps{ +4 4 6 newparallelepiped +45 90 360 { +/iAngle exch def + /n_x iAngle cos 35.2644 cos mul def + /n_y iAngle sin 35.2644 cos mul def + /n_z 35.2644 sin def + /distance 2 3 add 3 sqrt div neg def +[ n_x n_y n_z distance] +solidplansepare +} for +45 90 360 { +/iAngle exch def + /n_x iAngle cos 35.2644 cos mul def + /n_y iAngle sin 35.2644 cos mul def + /n_z 35.2644 sin neg def + /distance 2 3 add 3 sqrt div neg def +[ n_x n_y n_z distance] +solidplansepare +} for +45 90 360 { +/iAngle exch def +% plan : ax+by+cz-d=0 +[ iAngle cos % a + iAngle sin % b + 0 % c + -2.5 % -d +] solidplansepare +} for +dup [.5 .2] solidputhuecolors +solidlightOn +drawsolid*} +\end{pspicture} +\end{LTXexample} +\subsection{Sections of a torus} +%\begin{pspicture}(-6,-4)(6,4) +%\psSolid[r1=3,r0=1.5, +% object=tore, +%% ngrid=18 60, +% file=tore1860,action=writesolid] +%\end{pspicture} + +\begin{center} +\begin{pspicture}(-6,-4)(6,4) +\pstVerb{/Ampl 3 2 sqrt mul def}% +\defFunction[algebraic]{lemniscate}(t){1.5}{Ampl*sin(t)/(1+cos(t)*cos(t))}{Ampl*sin(t)*cos(t)/(1+cos(t)*cos(t))} +\psset{viewpoint=50 -10 30 rtp2xyz,Decran=50} +%\lightsource +\psset{lightsrc=viewpoint} +\psframe[fillstyle=solid,fillcolor=gray!50](-6,-4)(6,4) +%\psset{solidmemory} +%\psSolid[object=datfile,file=tore1860, +% plansepare={[1 0 0 -1.5]}, +% name=lemniscate, +% action=none](0,0,0) +%\psSolid[object=load, +% load=lemniscate1, +% file=tore1860lemniscate,action=writesolid](0,0,0) +\psSolid[object=datfile,file=tore1860lemniscate, + fcol=0 (0.5 0.72 0.5 setrgbcolor) + 1 (0.5 0.72 0.5 setrgbcolor), + fillcolor=green!30, + intersectiontype=0, + intersectionplan={ + [1 0 0 -1.5]}, + intersectioncolor=(rouge), + intersectionlinewidth=2.2] +\psSolid[object=courbe,r=0,linewidth=2pt, + range=0 6.28, + linecolor=red, + function=lemniscate]% +\psSolid[object=plan,action=draw, + definition=equation, + args={[1 0 0 -1.5] 90}, + base=-5 5 -2 2,planmarks,showBase] +%\composeSolid +\end{pspicture} +\end{center} +\begin{center} +\begin{pspicture}(-6,-4)(6,4) +\pstVerb{/Ampl 3 2 sqrt mul def}% +\defFunction[algebraic]{lemniscate}(t){1.5}{Ampl*sin(t)/(1+cos(t)*cos(t))}{Ampl*sin(t)*cos(t)/(1+cos(t)*cos(t))} +\psset{viewpoint=50 -10 30 rtp2xyz,Decran=50} +%\lightsource +\psset{lightsrc=viewpoint} +\psframe[fillstyle=solid,fillcolor=gray!50](-6,-4)(6,4) +\psSolid[object=datfile,file=tore1860lemniscate, + hollow, + rm=0 1, + fillcolor=green!30,incolor=yellow!50] +\psSolid[object=courbe,r=0,linewidth=2pt, + range=0 6.28, + linecolor=red, + function=lemniscate]% +\psSolid[object=plan,action=draw, + definition=equation, + args={[1 0 0 -1.5] 90}, + base=-5 5 -2 2,planmarks,showBase] +\end{pspicture} +\end{center} +\subsection{Some more examples} +\begin{enumerate} +\item +You will find a \verb+jps+ coded version of this document +within the \verb+\codejps+ command in the following document: + +\centerline{\url{http://melusine.eu.org/syracuse/mluque/solides3d2007/sections}} +\item A lesson about conic sections on: + +\centerline{\url{http://melusine.eu.org/syracuse/mluque/solides3d2007/sections/sections-cone}} +\item A lesson about cylindrical sections on: + +\centerline{\url{http://melusine.eu.org/syracuse/mluque/solides3d2007/sections/section-cylindre}} +\item A lesson about sections of a torus on: + +\centerline{\url{http://melusine.eu.org/syracuse/mluque/solides3d2007/sections/section-tore}} +\end{enumerate} + + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-solidescreux_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-solidescreux_en_corr.tex new file mode 100644 index 00000000000..e929ccbf094 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-solidescreux_en_corr.tex @@ -0,0 +1,102 @@ +\section{Emptying a solid} +Several of the predefined solids have a ``\textit{hollow}'' relative which is naturally associated with it (the cone, the truncated cone, the cylinder, the prism and the spherical segment). For all those, the option \verb+[hollow=true]+ is provided. +Set to \texttt{false}, one gets the ``filled'' solid; set to \texttt{true} one gets the ``hollow'' version. + + +\subsubsection{Example 1: a cylinder and a hollow cylinder} + + + +\begin{LTXexample}[width=5cm] +\psset{unit=0.5} +\psset{lightsrc=viewpoint,viewpoint=50 60 25 rtp2xyz,Decran=50} +\begin{pspicture}(-2,-3)(6,6) +\psSolid[object=cylindre,h=6,r=2, + fillcolor=yellow, + ](0,4,0) +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[width=5cm] +\psset{unit=0.5} +\psset{lightsrc=viewpoint,viewpoint=50 60 25 rtp2xyz,Decran=50} +\begin{pspicture}(-2,-3)(6,6) +\psSolid[object=cylindre,h=6,r=2, + fillcolor=yellow,incolor=red, + hollow](0,4,0) +\end{pspicture} +\end{LTXexample} + + +\newpage + +\subsubsection{Example 2: a prism and a hollow prism} + +\begin{LTXexample}[width=8.7cm] +\psset{unit=0.5} +\psset{lightsrc=viewpoint,viewpoint=50 60 25 rtp2xyz,Decran=50} +\begin{pspicture}(-9,-4)(4,8) +\defFunction{F}(t){t cos 3 mul}{t sin 3 mul}{} +\defFunction{G}(t){t cos}{t sin}{} +\psSolid[object=grille,base=-6 6 -4 4,action=draw]% +\psSolid[object=prisme, + h=8,fillcolor=yellow, + RotX=90,ngrid=8 18, + base=0 180 {F} CourbeR2+ + 180 0 {G} CourbeR2+](0,4,0) +\axesIIID(3,4,3)(8,6,7) +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[width=8.7cm] +\psset{unit=0.5} +\psset{lightsrc=viewpoint,viewpoint=50 60 25 rtp2xyz,Decran=50} +\begin{pspicture}(-9,-4)(3,8) +\defFunction{F}(t){t cos 3 mul}{t sin 3 mul}{} +\defFunction{G}(t){t cos}{t sin}{} +\psSolid[object=grille,base=-6 6 -4 4,action=draw]% +\psSolid[object=prisme, + h=8,fillcolor=yellow,incolor=red, + RotX=90,hollow,ngrid=8 18, + base=0 180 {F} CourbeR2+ + 180 0 {G} CourbeR2+](0,4,0) +\axesIIID(3,4,3)(8,6,7) +\end{pspicture} +\end{LTXexample} + +\newpage +\subsubsection{Example 3: a spherical zone and a hollow spherical zone} + +\begin{LTXexample}[width=7.5cm] +\psset{unit=0.5} +\psset{lightsrc=10 20 30,viewpoint=50 60 25 rtp2xyz,Decran=50} +\begin{pspicture}(-7,-4)(5,7) +\psSolid[object=grille, + base=-5 5 -5 5, + action=draw]% +\psSolid[object=calottesphere, + r=3,ngrid=16 18, + fillcolor=cyan!50, + incolor=yellow, + theta=45,phi=-30](0,0,1.5)% +\axesIIID(3,3,3.6)(6,6,5) +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[width=7.5cm] +\psset{unit=0.5} +\psset{lightsrc=10 20 30,viewpoint=50 60 25 rtp2xyz,Decran=50} +\begin{pspicture}(-7,-5)(7,5) +\psSolid[object=calottesphere, + r=3,ngrid=16 18, + fillcolor=cyan!50, + incolor=yellow, + theta=45,phi=-30, + hollow, + RotY=-80]% +\axesIIID(0,3,3)(6,5,4) +\end{pspicture} +\end{LTXexample} + + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-solidespredefinis_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-solidespredefinis_en_corr.tex new file mode 100644 index 00000000000..1c9cb821791 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-solidespredefinis_en_corr.tex @@ -0,0 +1,1042 @@ +\section {The predefined solids and their parameters} + +The basic command is:~ +\Cadre{\textbackslash psSolid[object=\textsl{name}]$(x, y ,z)$} which allows us to translate the chosen object to the point with the coordinates $(x, y, +z)$. + +The available predefined names for the objects are: +\begin{sloppypar} +{\ttfamily%\flushleft \hyphenchar\font`\-% +point, line, vector, plan, grille, cube, cylindre, cylindrecreux, cone, conecreux, tronccone, +troncconecreux, sphere, calottesphere, calottespherecreuse, tore, +tetrahedron, octahedron, dodecahedron, +isocahedron, anneau, prisme, prismecreux, parallelepiped, face, polygonregulier, ruban, surface, surface*, surfaceparamettree, pie, fusion, geode, load, offfile, objfile, datfile, new.} +\end{sloppypar} + + +The following table gives an example of every one of the above named solids with their specified parameters: + +\begin{center} +\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{5cm}} + \hline +\toptableau +\\\hline + Point& + \begin{tabular}{c} + \texttt{[args=1 1 0]}\\ + coordinates + \end{tabular} + & + \begin{pspicture}(-2,-2)(2,2) +\psset{lightsrc=10 5 20,viewpoint=50 20 30 rtp2xyz} +\psSolid[object=point,args=1 1 0]% +\axesIIID(1.5,1.5,1) +\end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSolid[object=point, +args=1 1 0]% +\end{verbatim} +\end{minipage} +\\\hline + Line& + \begin{tabular}{c} + \texttt{[args=0 -1 0 1 2 2]}\\ + coordinates of the\\ + end points + \end{tabular} + & + \begin{pspicture}(-2,-2)(2,2) +\psset{lightsrc=10 5 20,viewpoint=50 20 30 rtp2xyz} +\psSolid[object=line,args=0 -1 0 1 2 2] +\axesIIID(1.5,1.5,1) +\end{pspicture} + & +\begin{minipage}{5cm} +\begin{verbatim} +\psSolid[object=line, +args=0 -1 0 1 2 2] +\end{verbatim} +\end{minipage} +\\\hline + Vector& + \begin{tabular}{c} + \texttt{[args=1 2 2]}\\ + components of\\ + the vector + \end{tabular} + & +\begin{pspicture}(-2,-2)(2,2) +\psset{lightsrc=10 5 20,viewpoint=50 20 30 rtp2xyz} +\psSolid[object=vecteur,args=1 2 2] +\axesIIID(1.5,1.5,1) +\end{pspicture} + & +\begin{minipage}{5cm} +\begin{verbatim} +\psSolid[object=vecteur, +args=1 2 2] +\end{verbatim} +\end{minipage} +\\\hline + Plane& + \begin{tabular}{c} + \texttt{[base=-x x -y y]}\\ + range of plane\\ + \texttt{args={[0 0 1 0]}}\\ + equation of plane + \end{tabular} + & + \begin{pspicture}(-2,-2)(2,2) +\psset{lightsrc=10 5 20,viewpoint=50 20 30 rtp2xyz} +\psSolid[object=plan, + definition=equation, + args={[0 0 1 0]}, + base=-1 1 -1.5 1.5] +\axesIIID(1.5,1.5,1) +\end{pspicture} + & +\begin{minipage}{5cm} +\begin{verbatim} +\psSolid[object=plan, +definition=equation, +args={[0 0 1 0]}, +base=-1 1 -1.5 1.5] +\end{verbatim} +\end{minipage} +\\\hline + +\end{tabular} +\end{center} + +\begin{center} +\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{5cm}} + \hline +\toptableau +\\\hline + Cube& \begin{tabular}{c} + \texttt{[a=4]}\\ + edge's length + \end{tabular} + & + \begin{pspicture}(-2,-2)(2,2) +\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz} + \psset{Decran=60} + \psSolid[ + object=cube,a=2,action=draw*,fillcolor=magenta!20]% + \axesIIID(1,1,1)(1.5,1.5,1.5) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSolid[ + object=cube, + a=2, + action=draw*, + fillcolor=magenta!20] + \end{verbatim} + \end{minipage} +\\\hline + Cylinder& + \begin{tabular}{c} + \texttt{[h=6,r=2]}\\ + height and radius\\ + grid:\\ + \texttt{[ngrid=n1 n2]} + \end{tabular} + & + \begin{pspicture}(-2,-2.5)(2,3) +\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz} + \psset{Decran=30} +\psSolid[object=cylindre,h=5,r=2,fillcolor=white,ngrid=4 32](0,0,-3) + \axesIIID(2,2,2.5)(3,3,3.5) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSolid[ + object=cylindre, + h=5,r=2, + fillcolor=white, + ngrid=4 32] + (0,0,-3) + \end{verbatim} + \end{minipage} +\\\hline + Hollow Cylinder& + \begin{tabular}{c} + \texttt{[h=6,r=2]}\\ + height and radius\\ + grid:\\ + \texttt{[ngrid=n1 n2]} + \end{tabular} + & + \begin{pspicture}(-2,-2.5)(2,3) +\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz} + \psset{Decran=30} +\psSolid[object=cylindrecreux,h=5,r=2,fillcolor=white,mode=4,incolor=green!50](0,0,-2.5) + \axesIIID(2,2,2.5)(3,3,4.5) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSolid[ + object=cylindrecreux, + h=5,r=2, + fillcolor=white, + mode=4, + incolor=green!50] + (0,0,-3) + \end{verbatim} + \end{minipage} + \\\hline +\end{tabular} +\end{center} + +\begin{center} +\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{5cm}} + \hline +\toptableau +\\\hline + Cone& + \begin{tabular}{c} + \texttt{[h=6,r=2]}\\ + height and radius\\ + grid:\\ + \texttt{[ngrid=n1 n2]} + \end{tabular} + & + \begin{pspicture}(-2,-1)(2,4) +\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz} + \psset{Decran=30} + \psSolid[object=cone,h=5,r=2,fillcolor=cyan,mode=4]% + \axesIIID(2,2,5)(2.5,2.5,6) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} + \psSolid[ + object=cone, + h=5,r=2, + fillcolor=cyan, + mode=4]% + \end{verbatim} + \end{minipage} +\\\hline + Hollow Cone& + \begin{tabular}{c} + \texttt{[h=6,r=2]}\\ + height and radius\\ + grid:\\ + \texttt{[ngrid=n1 n2]} + \end{tabular} + & + \begin{pspicture}(-2,-1)(2,4) +\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz} + \psset{Decran=30} + \psSolid[object=conecreux,h=5,r=2,fillcolor=white,mode=4,RotY=-60,incolor=green!50]% + \axesIIID(2,2,5)(2.5,2.5,6) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} + \psSolid[ + object=conecreux, + h=5,r=2, + RotY=-60, + fillcolor=white, + incolor=green!50, + mode=4]% + \end{verbatim} + \end{minipage} + \\\hline + Truncated Cone& + \begin{tabular}{c} + \texttt{[h=6,r0=4,r1=1.5]}\\ + height and radii\\ + grid:\\ + \texttt{[ngrid=n1 n2]} + \end{tabular} + & + \begin{pspicture}(-2,-1)(2,4) +\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz} + \psset{Decran=30} + \psSolid[object=tronccone,r0=2,r1=1.5,h=5,fillcolor=cyan,mode=4]% + \axesIIID(2,2,5)(2.5,2.5,6) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} + \psSolid[ + object=tronccone, + r0=2,r1=1.5,h=5, + fillcolor=cyan, + mode=4]% + \end{verbatim} + \end{minipage} +\\\hline + \begin{tabular}{c} + Truncated \\ + Hollow Cone + \end{tabular} + & + \begin{tabular}{c} + \texttt{[h=6,r0=4,r1=1.5]}\\ + height and radii\\ + grid:\\ + \texttt{[ngrid=n1 n2]} + \end{tabular} + & + \begin{pspicture}(-2,-1)(2,4) +\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz} + \psset{Decran=30} + \psSolid[object=troncconecreux,r0=2,r1=1,h=5,fillcolor=white,mode=4]% + \axesIIID(2,2,5)(2.5,2.5,6) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSolid[ + object=troncconecreux, + r0=2,r1=1,h=5, + fillcolor=white, + mode=4]% + \end{verbatim} + \end{minipage} +\\\hline +\end{tabular} +\end{center} + +%\newpage + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{center} +%\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{5cm}} +\begin{tabular}{ + >{\bfseries\sffamily\color{blue}} l + >{\centering} m{4cm} m{4cm} m{5cm}} + \hline +\toptableau +\\\hline + Sphere & + \begin{tabular}{c} + \texttt{[r=2]}\\ + radius\\ + grid:\\ + \texttt{[ngrid=n1 n2]} + \end{tabular} + & + \begin{pspicture}(-2,-2)(2,3) +\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz} + \psset{Decran=30} + \psSolid[object=sphere,r=3,fillcolor=red!25,ngrid=18 18,linewidth=0.2\pslinewidth]% + \axesIIID(3,3,3)(4,4,4) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} + \psSolid[ + object=sphere, + r=2,fillcolor=red!25, + ngrid=18 18]% + \end{verbatim} + \end{minipage} +\\\hline + \begin{tabular}{c} + Spherical \\ + zone + \end{tabular} & + \begin{tabular}{c} + \texttt{[r=2]} \\ + radius\\ + \texttt{[phi=0,theta=90]} \\ + latitude for slicing\\ + the zone respectively \\ + from the bottom and top \\ + \end{tabular} + & +\begin{pspicture}(-2,-3)(5,3) +\psset{unit=0.5} +\psset{lightsrc=42 24 13,viewpoint=50 30 15 rtp2xyz,Decran=50} +\psSolid[object=calottesphere,r=3,ngrid=16 18, + fillcolor=cyan!50,incolor=yellow,theta=45,phi=-30,hollow,RotY=-80]% +\axesIIID(0,3,3)(6,5,4) +\end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSolid[ + object=calottesphere, + r=3,ngrid=16 18, + theta=45,phi=-30, + hollow,RotY=-80]% + \end{verbatim} + \end{minipage} +\\\hline + Torus & + \begin{tabular}{c} + \texttt{[r0=4,r1=1.5]} \\ + inner radius\\ + mean radius\\ + grid:\\ + \texttt{[ngrid=n1 n2]} + \end{tabular} + & + \begin{pspicture}(-2,-2)(2,2.35) +\psset{lightsrc=42 24 13,viewpoint=50 30 15 rtp2xyz} + \psset{Decran=30,unit=0.9} + \psSolid[r1=2.5,r0=1.5,object=tore,ngrid=18 36,fillcolor=green!30,action=draw**]% + \axesIIID(4,4,0)(5,5,4) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} + \psSolid[ + r1=2.5,r0=1.5, + object=tore, + ngrid=18 36, + fillcolor=green!30, + action=draw*]% + \end{verbatim} + \end{minipage} +\\\hline + \begin{tabular}{c} + Cylindric \\ + Ring + \end{tabular} + & + \begin{tabular}{c} + \texttt{[r1=2.5,r0=1.5,}\\ + inner and outer radius\\ + \texttt{h=6,section=...]}\\ + height\\ + cross \\ + section + \end{tabular} + & + \begin{pspicture}(-2,-2)(2,2.35) +%\psset{unit=0.44} +\psset{lightsrc=42 24 13,viewpoint=50 30 15 rtp2xyz} + \psset{Decran=30} +\psSolid[object=anneau,fillcolor=yellow,h=1.5,r1=4,r0=3]% + \axesIIID(4,4,0)(5,5,4) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} + \psSolid[ + object=anneau, + fillcolor=yellow, + h=1.5,r1=4,r0=3]% + \end{verbatim} + \end{minipage} +\\\hline +\end{tabular} +\end{center} + + +\begin{center} +%\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{6cm}} +\begin{tabular}{ + >{\bfseries\sffamily\color{blue}} l + >{\centering} m{4cm} m{4cm} m{5cm}} + \hline +\toptableau +\\\hline + Tetrahedron& + \begin{tabular}{c} + \texttt{[r=2]}\\ + radius of the\\ + circumscribed sphere + \end{tabular} + & + \begin{pspicture}(-2,-2)(2,2) +\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz} + \psset{Decran=30} + \psSolid[object=tetrahedron,r=3,linecolor=blue,action=draw]% + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSolid[ + object=tetrahedron, + r=3, + linecolor=blue, + action=draw]% + \end{verbatim} + \end{minipage} +\\\hline +Octahedron & + \begin{tabular}{c} + \texttt{[a=2]}\\ + radius of the\\ + circumscribed sphere + \end{tabular} + & + \begin{pspicture}(-2,-1.85)(2,2.85) +\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz} + \psset{Decran=30} + \psSolid[object=octahedron,a=3,linecolor=blue,fillcolor=Turquoise]% + \axesIIID(3,3,3)(4,4,4) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} + \psSolid[ + object=octahedron, + a=3, + linecolor=blue, + fillcolor=Turquoise]% + \end{verbatim} + \end{minipage} +\\\hline + Dodecahedron & + \begin{tabular}{c} + \texttt{[a=2]}\\ + radius of the\\ + circumscribed sphere + \end{tabular} + & + \begin{pspicture}(-2,-1.85)(2,1.85) +\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz} + \psset{Decran=30} + \psSolid[object=dodecahedron,a=2.5,RotZ=90,action=draw*,fillcolor=OliveGreen]% + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} + \psSolid[ + object=dodecahedron, + a=2.5,RotZ=90, + action=draw*, + fillcolor=OliveGreen]% + \end{verbatim} + \end{minipage} +\\ \hline +Icosahedron & + \begin{tabular}{c} + \texttt{[a=2]}\\ + radius of the\\ + circumscribed sphere + \end{tabular} + & + \begin{pspicture}(-2,-1.85)(2,2.85) +\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz} + \psset{Decran=30} + \psSolid[object=icosahedron,a=3,action=draw*,fillcolor=green!50]% + \axesIIID(3,3,3)(4,4,4) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSolid[ + object=icosahedron, + a=3, + action=draw*, + fillcolor=green!50]% + \end{verbatim} + \end{minipage} +\\\hline + Prism + & + \begin{tabular}{c} + \texttt{[axe=0 0 1]}\\ + direction of the axis\\ + \texttt{[base=}\\ + \texttt{-1 -1 1 -1 0 1]}\\ + coordinates of\\ + the vertices\\ + of the base\\ + \texttt{[h=6]}\\ + height + \end{tabular} + & + \begin{pspicture}(-2,-2)(2,3) +\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz} + \psset{Decran=30,unit=0.9} +\psSolid[object=prisme,action=draw*,linecolor=red,h=4,fillcolor=gray!50]% +\psSolid[object=grille,base=-3 3 -3 3,action=draw]% + \axesIIID(3,3,4)(5,5,5) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSolid[ + object=prisme, + action=draw*, + linecolor=red, + h=4]% + \end{verbatim} + \end{minipage} + \\\hline +\end{tabular} +\end{center} + +%\newpage +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{center} +%\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz} +%\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{6cm}} +\begin{tabular}{ + >{\bfseries\sffamily\color{blue}} l + >{\centering} m{4cm} m{4cm} m{5cm}} + \hline +\toptableau +\\\hline + Grid + & + \begin{tabular}{c} + \texttt{[base=-X +X -Y +Y]} + \end{tabular} + & + \begin{pspicture}(-1.5,-2)(2,3) +\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz} + \psset{Decran=30,unit=0.9} +\psSolid[object=grille,base=-5 5 -3 3]% + \axesIIID(5,3,0)(6,4,4) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSolid[ + object=grille, + base=-5 5 -3 3]% + \end{verbatim} + \end{minipage} +\\\hline +% + Cuboid + & + \begin{tabular}{c} + \texttt{[a=4,b=3,c=2]}\\ + edge lenghts\\ + with center in $O$ + \end{tabular} + & + \begin{pspicture}(-1.5,-2)(2,3) + \psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz} + \psset{Decran=30} +\psSolid[object=parallelepiped,a=5,b=6,c=2,fillcolor=bleuciel,axe=1 1 1](0,0,c 2 div) +\psSolid[object=grille,base=-2.5 2.5 -3 3,action=draw](0,0,2) +\psSolid[object=grille,base=-1 1 -3 3,RotY=90,action=draw](2.5,0,1) +\psSolid[object=grille,base=-2.5 2.5 -1 1,RotX=-90,action=draw](0,3,1) + \axesIIID(2.5,3,2)(3.5,4,4) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSolid[ + object=parallelepiped,% + a=5,b=6,c=2, + fillcolor=yellow]% + (0,0,c 2 div) + \end{verbatim} + \end{minipage} +\\\hline +% + Face + & + \begin{tabular}{l} + \texttt{[base=x0 y0 x1 y1}\\ + \texttt{~ x2 y2 etc.]}\\ + the coordinates \\ + of the vertices + \end{tabular} + & +\begin{pspicture}(-2,-2)(3,2) +\psset{unit=0.4} +\psset{viewpoint=50 -20 30 rtp2xyz,Decran=50} +\psSolid[object=grille,base=-4 6 -4 4,action=draw,linecolor=gray](0,0,0) +\psSolid[object=face,fillcolor=yellow, + incolor=blue, + base=0 0 3 0 1.5 3 + ](0,1,0) +\psSolid[object=face,fillcolor=yellow, + incolor=blue, + base=0 0 3 0 1.5 3, + RotX=180](0,-1,0) +\axesIIID(0,0,0)(6,6,3) +\end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSolid[ + object=face, + fillcolor=yellow, + incolor=blue, + base=0 0 3 0 1.5 3 + ](0,1,0) +\psSolid[ + object=face, + fillcolor=yellow, + incolor=blue, + base=0 0 3 0 1.5 3, + RotX=180](0,-1,0) + \end{verbatim} + \end{minipage} +\\\hline +% + Strip + & + \begin{tabular}{l} + \texttt{[base=x0 y0 x1 y1}\\ + \texttt{~ x2 y2 etc.]}\\ + \texttt{[h=height]}\\ + \texttt{[ngrid=value]}\\ + number of gridlines\\ + \texttt{[axe=0 0 1]}\\ + direction of inclination\\ + of the strip + \end{tabular} + & +\begin{pspicture}(-2,-2)(5,3) +\psset{lightsrc=10 0 10,viewpoint=50 -20 30 rtp2xyz,Decran=50,unit=0.5} +\psSolid[object=grille,base=-4 6 -2 4,action=draw,linecolor=gray](0,0,0) +\psSolid[object=ruban,h=3,fillcolor=red!50, + base=0 0 2 2 4 0 6 2, + num=0 1 2 3, + show=0 1 2 3, + ngrid=3]% +\axesIIID(0,2,0)(6,6,6) +\end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSolid[ + object=ruban,h=3, + fillcolor=red!50, + base=0 0 2 2 4 0 6 2, + num=0 1 2 3, + show=0 1 2 3, + ngrid=3]) + \end{verbatim} + \end{minipage} +\\\hline +\end{tabular} +\end{center} + +%\newpage + +%\begin{center} +%\psset{lightsrc=10 20 30,SphericalCoor,viewpoint=50 20 30} +%%\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{6cm}} +%\begin{tabular}{ +% >{\bfseries\sffamily\color{blue}} l +% >{\centering} m{4cm} m{4cm} m{5cm}} +% \hline +%\toptableau +%% chemin +%% & +%% \begin{tabular}{l} +%% dessine un chemin\\ +%% d\'{e}fini en postscript\\ +%% sur un plan +%% \end{tabular} +%% & +%% \psset{unit=0.4} +%% \begin{pspicture}(-2,-5)(6,8)% +%% \psframe*[linecolor=blue!50](-6,-5)(6,7) +%% \psset{lightsrc=50 20 20,viewpoint=50 30 15,Decran=60} +%% \psProjection[object=chemin,fillstyle=solid,fillcolor=white, +%% linewidth=.05,linecolor=red, +%% normal=1 1 2 180, +%% path=newpath +%% -4 -4 smoveto +%% -4 4 slineto +%% 4 4 slineto +%% 4 -4 slineto +%% closepath +%% ](1,1,2) +%% \psProjection[object=chemin, +%% linewidth=.02, +%% normal=1 1 2 180, +%% path=newpath +%% -4 1 4 +%% {-4 exch smoveto +%% 8 0 srlineto} for +%% -4 1 4 +%% {-4 smoveto +%% 0 8 srlineto} for +%% ](1,1,2) +%% \psProjection[object=chemin,fillstyle=hlines,hatchcolor=yellow, +%% linecolor=red, +%% normal=1 1 2 180, +%% path=newpath +%% 2 0 moveto +%% 0 2 360 { +%% /x exch def +%% x cos 2 mul +%% x sin 2 mul +%% slineto +%% } for +%% ](1,1,2) +%% \psPoint(0,0,0){O} +%% \psPoint(1,1,2){O1}\psPoint(1.4,1.4,2.8){K} +%% \psline[linewidth=.1,linecolor=red](O1)(K) +%% \psline[linestyle=dashed](O)(O1) +%% \psProjection[object=chemin, +%% linewidth=.1, +%% linecolor=green, +%% normal=1 1 2 180, +%% path= +%% newpath +%% 0 0 smoveto +%% 1 0 slineto](1,1,2) +%% \psProjection[object=chemin, +%% linewidth=.1, +%% linecolor=blue, +%% normal=1 1 2 180, +%% path= +%% newpath +%% 0 0 smoveto +%% 0 1 slineto](1,1,2) +%% \axesIIID(4,4,2)(5,5,6) +%% \end{pspicture} +%% & +%% \begin{minipage}{6cm} +%% \begin{verbatim} +%% \psProjection[object=chemin, +%% fillstyle=hlines, +%% hatchcolor=yellow, +%% linecolor=red, +%% normal=1 1 2 180, +%% path=newpath +%% 2 0 smoveto +%% 0 2 360 { +%% /x exch def +%% x cos 2 mul +%% x sin 2 mul +%% slineto +%% } for +%% ](1,1,2) +%% \end{verbatim} +%% \end{minipage} +%\end{tabular} +%\end{center} + +%\newpage +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{center} +%\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{6cm}} +\begin{tabular}{ + >{\bfseries\sffamily\color{blue}} l + >{\centering} m{4cm} m{4cm} m{5cm}} + \hline +\toptableau +\\\hline + Surface + & + \begin{tabular}{l} + see the related \\ + paragraph in the \\ + documentation + \end{tabular} + & +\begin{pspicture}(-2,-3)(3,3) +\psset{unit=0.4} +\psset{lightsrc=30 30 25} +\psset{viewpoint=50 40 30 rtp2xyz,Decran=50} +\psSurface[ngrid=.25 .25,incolor=white,axesboxed](-4,-4)(4,4){% + x dup mul y dup mul 3 mul sub x mul 32 div} +\end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSurface[ngrid=.25 .25, + incolor=white,axesboxed] + (-4,-4)(4,4){% + x dup mul y dup mul 3 mul + sub x mul 32 div} + \end{verbatim} + \end{minipage} +\\\hline +% + New + & + \begin{tabular}{l} + solid defined\\ + by the coordinates \\ + of the vertices\\ + and the vertices\\ + of each face + \end{tabular} + & + +\begin{pspicture}(-2,-2)(2,4) +\psset{unit=0.4} +\psset{viewpoint=50 -20 30 rtp2xyz,Decran=50} +\psSolid[object=new, + action=draw, + sommets= + 2 4 3 + -2 4 3 + -2 -4 3 + 2 -4 3 + 2 4 0 + -2 4 0 + -2 -4 0 + 2 -4 0 + 0 4 5 + 0 -4 5, + faces={ + [0 1 2 3] + [7 6 5 4] + [0 3 7 4] + [3 9 2] + [1 8 0] + [8 9 3 0] + [9 8 1 2] + [6 7 3 2] + [2 1 5 6]}, + num=all, + show=all]% +\axesIIID(0,0,0)(5,5,7) +\end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} + \psSolid[object=new, + action=draw, + sommets= + 2 4 3 + -2 4 3 + -2 -4 3 + 2 -4 3 + 2 4 0 + -2 4 0 + -2 -4 0 + 2 -4 0 + 0 4 5 + 0 -4 5, + faces={ + [0 1 2 3] + [7 6 5 4] + [0 3 7 4] + [3 9 2] + [1 8 0] + [8 9 3 0] + [9 8 1 2] + [6 7 3 2] + [2 1 5 6]}]% + \end{verbatim} + \end{minipage} +\\\hline +% + Curve + & + \begin{tabular}{l} + curve of a function\\ + $\mathbb{R} \rightarrow \mathbb{R}^3$\\ + defined by its\\ + paramterised equations\\ + \end{tabular} + & + +\begin{pspicture}(-2,-1)(1.75,2.7) +\psset{unit=0.35} +\psset{lightsrc=10 -20 50,viewpoint=50 -20 20 rtp2xyz,Decran=50} +%\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} + & + \begin{minipage}{5cm} +% \footnotesize + \begin{verbatim} +\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{verbatim} + \end{minipage} +\\\hline +%% courbeR2 +%% & +%% \begin{tabular}{l} +%% trac\'{e} d'une fonction\\ +%% R --> R\textsuperscript{2}\\ +%% d\'{e}finie par ses\\ +%% \'{e}quations param\'{e}triques\\ +%% \end{tabular} +%% & +%% \psset{unit=0.4} +%% \begin{pspicture}(-6,-7)(6,6) +%% \psframe*[linecolor=yellow!50](-6,-6)(6,6) +%% \psset{SphericalCoor,viewpoint=50 -20 30,Decran=50} +%% {\psset{linewidth=0.5\pslinewidth,linecolor=gray} +%% \psSolid[object=grille,base=-4 4 -4 0,RotX=90,RotZ=90]% +%% \psSolid[object=grille,base=-4 4 -4 4]% +%% \psSolid[object=grille,base=-4 4 0 4,RotX=90,RotZ=90]} +%% \defFunction{parabole}(t){t}{t dup mul}{} +%% \defFunction{droite}(t){t}{t 2 add }{} +%% \axesIIID(0,0,0)(4,4,4) +%% \psProjection[object=chemin, +%% linewidth=.1, +%% linecolor=blue, +%% normal=0 1 0 1 0 0, +%% path= +%% newpath +%% 0 0 moveto +%% 1 0 lineto] +%% \psProjection[object=chemin, +%% linewidth=.1, +%% linecolor=red, +%% normal=0 1 0 1 0 0, +%% path= +%% newpath +%% 0 0 moveto +%% 0 1 lineto] +%% \psProjection[object=courbeR2, +%% range=-1 2,fillstyle=vlines,hatchwidth=0.5\pslinewidth, +%% normal=0 1 0 1 0 0, +%% function=parabole] +%% \psProjection[object=courbeR2, +%% range=-2 2, +%% linecolor=green, +%% normal=0 1 0 1 0 0, +%% function=parabole] +%% \psProjection[object=courbeR2, +%% range=-2 2 , +%% linecolor=red, +%% normal=0 1 0 1 0 0, +%% function=droite] +%% \psPoint(0,0,4.15){Z1} +%% \uput*[60](Z1){$z=y^2$} +%% \rput(0,-6.5){\psframebox[linecolor=yellow!50]{\texttt{$\backslash${}defFunction\{parabole\}(t)\{t\}\{t dup mul\}\{\}}}} +%% \end{pspicture} +%% & +%% \begin{minipage}{6cm} +%% \footnotesize +%% \begin{verbatim} +%% \psProjection[object=courbeR2, +%% range=-2 2, +%% linecolor=green, +%% normal=0 1 0 1 0 0, +%% function=parabole] +%% \end{verbatim} +%% \end{minipage} +%% \\\hline +\end{tabular} +\end{center} + +Some information about rings and parallelepipeds is available in the documents: +\begin{itemize} + \item \texttt{doc-grille-parallelepiped.tex(.pdf)}; + \item \texttt{doc-anneau.tex(.pdf).} +\end{itemize} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%\newpage + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-surfaces_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-surfaces_en_corr.tex new file mode 100644 index 00000000000..abb3d72a6e1 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-surfaces_en_corr.tex @@ -0,0 +1,223 @@ +\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 + \verb+[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{[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 \texttt{[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 \texttt{[grid]}: by default the grid is activated. If the + option \texttt{[grid]} is used, the grid will be deactivated! %%%% this seems perverse; would [nogrid] be better? + \item \texttt{[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 \texttt{[Zmin]}: minimum value; + \item \texttt{[Zmax]}: maximum value; + \item \texttt{[QZ]}: allows a vertical shift of the coordinate axes +with the value \texttt{[QZ=value]}; + \item \texttt{[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){data}+; + \item \texttt{[spotY]}: is similar; + \item \texttt{[spotZ]}: likewise. + \end{itemize} +\end{itemize} +If the option \verb+[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 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: +\verb+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 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 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 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 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=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} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-surfacesparametrees_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-surfacesparametrees_en_corr.tex new file mode 100644 index 00000000000..5856a2ec448 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-surfacesparametrees_en_corr.tex @@ -0,0 +1,169 @@ +\section{Parameterized surfaces} + +\subsection{The method} + +The parameterized surfaces are setup as $[x(u,v),y(u,v),z(u,v)]$ and administered thanks to the macro \bs{psSolid} by the option +\verb+[object=surfaceparametree]+ and defined either in \textit{Reverse Polish Notation}(\texttt{RPN}): + + +\begin{verbatim} +\defFunction{shell}(u,v){1.2 v exp u Sin dup mul v Cos mul mul}% x(u,v) + {1.2 v exp u Sin dup mul v Sin mul mul}% y(u,v) + {1.2 v exp u Sin u Cos mul mul} %z(u,v) +\end{verbatim} + +or in \textit{algebraic notation}: + +\begin{verbatim} +\defFunction[algebraic]{shell}(u,v){1.2^v*(sin(u)^2*cos(v))}% x(u,v) + {1.2^v*(sin(u)^2*sin(v))}% y(u,v) + {1.2^v*(sin(u)*cos(u))} %z(u,v) +\end{verbatim} + +The range for the values of $u$ and $v$ are defined within the option +\texttt{[range=$\mathtt{u_{min}}$ $\mathtt{u_{max}}$ $\mathtt{v_{min}}$ %$ +$\mathtt{v_{max}}$]}. + +The drawing of the function is activated with +\texttt{[function=name]}, this name is implied when the parametric equations are written: +\verb+\defFunction{name}...+ + +Any other choice of $u$ and $v$ are accepted. Let's remind that the argument of +\texttt{Sin} and \texttt{Cos} must be in radians those of \texttt{sin} and +\texttt{cos} in degrees if \textit{RPN} is used. Within the algebraic notation, the argument is in radians. + + +\subsection{Example 1: a sea shell} +\newcommand\quadrillage{% +\psset{linecolor={[cmyk]{1,0,1,0.5}}}\green +\multido{\ix=-4+1}{9}{% + \psPoint(\ix\space,4,-3){X1} + \psPoint(\ix\space,4 .2 add,-3){X2} + \psline(X1)(X2) + \uput[-120](X1){\small\ix}} +\multido{\iy=-4+1}{9}{% + \psPoint(-4,\iy\space,-3){Y1} + \psPoint(-4 .2 sub,\iy\space,-3){Y2} + \psline(Y1)(Y2) + \uput[0](Y1){\small\iy}} +\multido{\iz=-3+1}{7}{% + \psPoint(4,4,\iz\space){Z1} + \psPoint(4,4 .2 add,\iz\space){Z2} + \psline(Z1)(Z2) + \uput[l](Z1){\small\iz}} +\psPoint(0,4 0.5 add,-3){X0} +\uput[-120](X0){$x$} + \psPoint(-4 .5 sub,0,-3){Y0} +\uput[0](Y0){$y$}} +\begin{LTXexample}[width=7.8cm] +\psset{unit=0.75} +\begin{pspicture}(-5.5,-6)(4.5,4) +\psframe*(-5.5,-6)(4.5,4) +\psset[pst-solides3d]{viewpoint=20 120 30 rtp2xyz, + Decran=15,lightsrc=-10 15 10} +% Parametric Surfaces +\psSolid[object=grille,base=-4 4 -4 4, + action=draw*,linecolor={[cmyk]{1,0,1,0.5}}] + (0,0,-3) +\defFunction{shell}(u,v) + {1.2 v exp u Sin dup mul v Cos mul mul} + {1.2 v exp u Sin dup mul v Sin mul mul} + {1.2 v exp u Sin u Cos mul mul} +\psSolid[object=surfaceparametree, + linecolor={[cmyk]{1,0,1,0.5}}, + base=0 pi pi 4 div neg 5 pi mul 2 div, + fillcolor=yellow!50,incolor=green!50, + function=shell,linewidth=0.5\pslinewidth,ngrid=25]% +\psSolid[object=parallelepiped,a=8,b=8,c=6, + action=draw,linecolor={[cmyk]{1,0,1,0.5}}]% +\quadrillage +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[width=7.8cm] +\psset{unit=0.75} +\begin{pspicture}(-5,-4)(5,6) +\psframe*(-5,-4)(5,6) +\psset[pst-solides3d]{viewpoint=20 20 -10 rtp2xyz, + Decran=15,lightsrc=5 10 2} +% Parametric Surfaces +\psSolid[object=grille,base=-4 4 -4 4, + action=draw*,linecolor=red](0,0,-3) +\defFunction[algebraic]{shell}(u,v) + {1.21^v*(sin(u)*cos(u))} + {1.21^v*(sin(u)^2*sin(v))} + {1.21^v*(sin(u)^2*cos(v))} +%% \defFunction{shell}(u,v) +%% {1.2 v exp u Sin u Cos mul mul} +%% {1.2 v exp u Sin dup mul v Sin mul mul} +%% {1.2 v exp u Sin dup mul v Cos mul mul} +\psSolid[object=surfaceparametree, + linecolor={[cmyk]{1,0,1,0.5}}, + base=0 pi pi 4 div neg 5 pi mul 2 div, + fillcolor=green!50,incolor=yellow!50, + function=shell,linewidth=0.5\pslinewidth, + ngrid=25]% +\white% +\gridIIID[Zmin=-3,Zmax=4,linecolor=white, + QZ=0.5](-4,4)(-4,4) +\end{pspicture} +\end{LTXexample} + + + +\subsection{Example 2: a helix} +\begin{LTXexample}[width=5.5cm] +\psset{unit=0.75} +\begin{pspicture}(-3,-4)(3,6) +\psset[pst-solides3d]{viewpoint=20 10 2,Decran=20, + lightsrc=20 10 10} +% Parametric Surfaces +\defFunction{helix}(u,v) + {1 .4 v Cos mul sub u Cos mul 2 mul} + {1 .4 v Cos mul sub u Sin mul 2 mul} + {.4 v Sin mul u .3 mul add} +\psSolid[object=surfaceparametree,linewidth=0.5\pslinewidth, + base=-10 10 0 6.28,fillcolor=yellow!50,incolor=green!50, + function=helix, + ngrid=60 0.4]% +\gridIIID[Zmin=-3,Zmax=3](-2,2)(-2,2) +\end{pspicture} +\end{LTXexample} + + +\subsection{Example 3: a cone} +\begin{LTXexample}[width=10cm] +\psset{unit=0.5} +\begin{pspicture}(-9,-7)(10,12) +\psframe*(-9,-7)(10,12) +\psset[pst-solides3d]{ + viewpoint=20 5 10, + Decran=50,lightsrc=20 10 5} +\psSolid[ + object=grille,base=-2 2 -2 2, + linecolor=white](0,0,-2) +% Parametric Surfaces +\defFunction{cone}(u,v) + {u v Cos mul}{u v Sin mul}{u} +\psSolid[object=surfaceparametree, + base=-2 2 0 2 pi mul, + fillcolor=yellow!50, + incolor=green!50,function=cone, + linewidth=0.5\pslinewidth, + ngrid=25 40]% +\psset{linecolor=white}\white +\gridIIID[Zmin=-2,Zmax=2] + (-2,2)(-2,2) +\end{pspicture} +\end{LTXexample} + + +\subsection{An advised website} +You will find on the website: + +\centerline{\url{http://k3dsurf.sourceforge.net/}} + +an excellent software to represent surfaces with numerous examples of parameterized surfaces and others. + +\endinput + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-tracerpolygone_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-tracerpolygone_en_corr.tex new file mode 100644 index 00000000000..a3aa22aa721 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-tracerpolygone_en_corr.tex @@ -0,0 +1,13 @@ +\section{Drawing a polygon} + +We use: \texttt{\textbackslash psPolygonIIID[options](x0,y0,z0)(x1,y1,z1)\ldots(xn,yn,zn)}, +with the possible options that follow: +\begin{itemize} + \item \texttt{linecolor=color}; + \item \texttt{doubleline=true}; + \item \texttt{linearc=value}; + \item \texttt{fillstyle=solid}; + \item \texttt{fillstyle=vlines} or \texttt{fillstyle=hlines} or \texttt{fillstyle=crosshatch}. +\end{itemize} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-transform_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-transform_en_corr.tex new file mode 100644 index 00000000000..d141e5cb126 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-transform_en_corr.tex @@ -0,0 +1,162 @@ +\section{The option \texttt{transform}} + +The option \verb+transform=...+, which is nothing else than a formula $\mathbb{R}^3 \rightarrow \mathbb{R}^3$, +which is applied to every point of the solid. In the first example, the object that accepts the transformation is a cube. +The referenced cube is yellow, the transformed cube is green and the cube before the transformation is setup with a reticule. + +\subsection{Identical scaling factor in the three coordinates} + +The scaling factor is set to $0.5$. It is either introduced within the PostScript variable `\texttt{/Facteur}': +\begin{verbatim} +\pstVerb{/Facteur {.5 mulv3d} def}% +\end{verbatim} +and then passed to the option \verb+transform+: +\begin{verbatim} +\psSolid[object=cube,a=2,ngrid=3, + transform=Facteur](2,0,1)% +\end{verbatim} +or directly passed to the option: +\begin{verbatim} +\psSolid[object=cube,a=2,ngrid=3, + transform={.5 mulv3d}](2,0,1)% +\end{verbatim} +Here the \textit{jps} abbreviation \texttt{transform=\{.5 mulv3d\}} for a function $\mathbb{R}^3 \rightarrow \mathbb{R}^3$ was used. + +Another method would be to use the code +\begin{verbatim} +\defFunction[algebraic]{matransformation}(x,y,z) + {.5*x} + {.5*y} + {.5*z} +\end{verbatim} +and then pass it to the option +\Cadre{[\texttt{transform=matransformation}]}. +\begin{LTXexample}[pos=t] +\psset{viewpoint=20 60 20 rtp2xyz,lightsrc=viewpoint,Decran=20} +\begin{pspicture}(-5,-3)(6,5) +\psframe(-5,-3)(6,5) +\psSolid[object=grille,base=-4 4 -4 4,fillcolor=red!50]% +\axesIIID(0,0,0)(4,4,4)% +\psSolid[object=cube,fillcolor=yellow!50, + a=2,ngrid=3](-2,0,1) +\psSolid[object=cube,fillcolor=green!50, + a=2,transform={.5 mulv3d}, + ngrid=3](2,0,1) +\psSolid[object=cube, + action=draw, + a=2,ngrid=3](2,0,1) +\end{pspicture} +\end{LTXexample} + +\encadre{The scaling factor also affects the position coordinates of the cube's center.} + +\subsection{Different scaling factors for the three coordinates} + +Let's for example use a factor 0.75 for $x$, 4 +for $y$ and 0.5 for $z$ using the function \texttt{scaleOpoint3d} from the + \textit{jps} library -- so a cube will be transformed to a cuboid. +\begin{LTXexample}[pos=t] +\psset{viewpoint=20 60 20 rtp2xyz,lightsrc=viewpoint,Decran=20} +\begin{pspicture}(-5,-3)(6,5) +\psframe(-5,-3)(6,5) +\psSolid[object=grille,base=-4 4 -4 4,fillcolor=red!50]% +\axesIIID(0,0,0)(4,4,4)% +\psSolid[object=cube,fillcolor=yellow!50, + a=2,ngrid=3](-2,0,1) +\psSolid[object=cube,fillcolor=green!50, + a=2,transform={.75 4 .5 scaleOpoint3d}, + ngrid=3](2,0,1) +\psSolid[object=cube, + action=draw, + a=2,ngrid=3](2,0,1) +\end{pspicture} +\end{LTXexample} + +\subsection{Transformation associated with the distance to the origin} + +Here an example applied to a cube: + +\begin{equation*} +\left\lbrace\begin{aligned} +x'&=\big(0.5\sqrt{x^2+y^2+z^2}+1-0.5\sqrt{3}\big)x \\ +y'&=\big(0.5\sqrt{x^2+y^2+z^2}+1-0.5\sqrt{3}\big)y \\ +z'&=\big(0.5\sqrt{x^2+y^2+z^2}+1-0.5\sqrt{3}\big)z +\end{aligned}\right. +\end{equation*} + +\begin{LTXexample}[width=7cm] +\begin{pspicture}(-3,-4)(4,3) +\psset{viewpoint=20 60 20 rtp2xyz,lightsrc=10 15 7,Decran=20} +\pstVerb{ +/gro { +4 dict begin + /M defpoint3d + /a .5 def + /b 1 a 3 sqrt mul sub def + /k M norme3d a mul b add def + M k mulv3d +end +} def}% +\psset{linewidth=.02,linecolor=gray} +\psSolid[object=cube,a=3,ngrid=9, + transform=gro]% +\end{pspicture} +\end{LTXexample} +%\newpage + +\subsection{Bending and torsion of beams} + +The solid to the left is a prism of the height 10 cm with 20 floors +(\verb+[ngrid=20 2]+). In every floor, an additional angle of rotation -- for example 10$^{\mathrm{o}}$ around the $Oz$ axis is -- given. + Now that the adjacent floors have a distance of $0.5$~cm, one multiplies $z\times20$. + +La flexion est envisagée dans le plan $xOz$ sous l'action d'une force perpendiculaire à la poutre appliquée en son extrémité. + +\begin{LTXexample}[pos=t] +\psset{viewpoint=100 50 20 rtp2xyz,lightsrc=viewpoint,Decran=100,unit=0.65} +\begin{pspicture}(-3,-1)(3.5,11) +\psframe(-3,-1)(3.5,11) +\psSolid[object=grille,base=-2 2 -2 2,ngrid=8]% +\psSolid[object=prisme,h=10,ngrid=20 2, + 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]% +\end{pspicture} +\begin{pspicture}(-3,-1)(3.5,11) +\psframe(-3,-1)(3.5,11) +\psSolid[object=grille,base=-2 2 -2 2,ngrid=8]% +\pstVerb{ +/torsion {% on tourne de 10 degrés suivant l'axe Oz à chaque niveau +2 dict begin + /M defpoint3d % on récupère les coordonnées + M /z exch def pop pop + M 0 0 z 20 mul rotateOpoint3d +end} def}% +\psSolid[object=prisme,h=10,ngrid=20 2, + 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, + transform=torsion]% +\psTransformPoint[RotZ=20](2 0 10)(0,0,0){A} +\psTransformPoint[RotZ=20](2 1 10)(0,0,0){A'} +\psTransformPoint[RotZ=20](-2 0 10)(0,0,0){B} +\psTransformPoint[RotZ=20](-2 -1 10)(0,0,0){B'} +\psline[linecolor=red]{v-v}(A')(A)(B)(B') +\end{pspicture} +\begin{pspicture}(-3.5,-1)(3,11) +\psframe(-3.5,-1)(3,11) +\psSolid[object=grille,base=-2 2 -2 2,ngrid=8]% +\pstVerb{% idée de Christophe Poulain +/flexion {% on tourne de 2 degrés suivant l'axe Oy à chaque niveau +2 dict begin + /M defpoint3d % on récupère les coordonnées + M /z exch def pop pop + M 0 z 2 mul 0 rotateOpoint3d +end} def}% +\axesIIID(0,0,0)(3,3,10) +\psSolid[object=prisme,h=10,ngrid=20 2, + 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, + transform=flexion]% +\psTransformPoint[RotY=20](0.5 0 10)(0,0,0){A} +\psPoint(3 20 cos mul 20 sin 10 mul add 0.5 add,0, 20 cos 10 mul 20 sin 3 mul sub){A'} +\psdot(A)\psline[linecolor=red]{-v}(A)(A') +\end{pspicture} +\end{LTXexample} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-transformpointconnu_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-transformpointconnu_en_corr.tex new file mode 100644 index 00000000000..69c9153c232 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-transformpointconnu_en_corr.tex @@ -0,0 +1,66 @@ +\section{Transformations to a point} + +Given is an initial point $A(x,y,z)$. Now one makes some +rotations around the axes $Ox$, $Oy$ and $Oz$ with the appropriate angles (in degrees): +\verb+[RotX=valueX,RotY=valueY,RotZ=valueZ]+, in this order, +then translates it with the vector $(v_x,v_y,v_z)$. The problem is to get back +the coordinates of the image (final point) $A'(x',y',z')$. + +The code +\texttt{\textbackslash psTransformPoint[RotX=valueX,RotY=valueY, + RotZ=valueZ](x y z)(vx,vy,vz)\{A'\}}\\ +now allows to save the node $A'$, the coordinates of the transformed point. + +In the following example, $A(2,2,2)$ is one of the vertices of the initial +cube, where the center is placed at the origin. + +\begin{verbatim} +\psSolid[object=cube,a=4,action=draw*,linecolor=red]% +\end{verbatim} + +Some transformations are applied to the cube: + +\begin{verbatim} +\psSolid[object=cube,a=4,action=draw*,RotX=-30,RotY=60,RotZ=-60](7.5,11.25,10)% +\end{verbatim} + +To obtain the image of $A$, we use the following command: + + +\begin{verbatim} +\psTransformPoint[RotX=-30,RotY=60,RotZ=-60](2 2 2)(7.5,11.25,10){A'} +\end{verbatim} + +This allows, for example, to name these points and then draw the vector $\overrightarrow{AA'}$. +\begin{center} +\begin{pspicture}(-2,-4)(6,6) +\psframe(-3,-4)(9,6) +\psset{viewpoint=50 20 30 rtp2xyz,Decran=50,unit=0.5} +\psSolid[object=cube,a=4,action=draw*,linecolor=red]% +\psPoint(2,2,2){A}\psdot(A) +\psSolid[object=cube,a=4,action=draw*,RotX=-30,RotY=60,RotZ=-60](7.5,11.25,10)% +\psTransformPoint[RotX=-30,RotY=60,RotZ=-60](2 2 2)(7.5,11.25,10){A'} +\psdot(A')\psline[linecolor=blue,arrowsize=0.3]{{o-v}}(A)(A') +\uput[u](A'){$A'$}\uput[u](A){$A$} +\psset{solidmemory,action=none} +\psSolid[object=cube,a=4,name=A1,](0,0,0) +\psSolid[object=plan,definition=solidface,args=A1 0,name=P0] +\psSolid[object=plan,definition=solidface,args=A1 1,name=P1] +\psSolid[object=plan,definition=solidface,args=A1 4,name=P4] +\psset{fontsize=100} +\psProjection[object=texte,linecolor=red,text=A,plan=P0] +\psProjection[object=texte,linecolor=red,text=B,plan=P1] +\psProjection[object=texte,linecolor=red,text=E,plan=P4] +\psSolid[object=cube,a=4,RotX=-30,RotY=60,RotZ=-60,name=A2,](7.5,11.25,10) +\psSolid[object=plan,definition=solidface,args=A2 0,name=P'0] +\psSolid[object=plan,definition=solidface,args=A2 1,name=P'1] +\psSolid[object=plan,definition=solidface,args=A2 2,name=P'2] +\psProjection[object=texte,text=A,plan=P'0] +\psProjection[object=texte,text=B,plan=P'1] +\psProjection[object=texte,text=C,plan=P'2] +\axesIIID(2,2,2)(10,10,8) +\end{pspicture} +\end{center} + + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-tronque_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-tronque_en_corr.tex new file mode 100644 index 00000000000..df11a00211c --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-tronque_en_corr.tex @@ -0,0 +1,36 @@ +\section{Truncate a solid's vertices} + +The option \verb+trunc+ allows us to truncate a solid's vertices either +globally or individually. This option uses the key +\verb+trunccoeff+ (value $0.25$ by default) which indicates the ratio +$k$ used for the truncation ($0<k\leq 0.5$). +% +\begin{itemize} + \item \verb+[trunc=all]+ truncates all the vertices; + \item \verb+[trunc=0 1 2 3]+ truncates the vertices \texttt{[0,1,2 and 3]}. +\end{itemize} +% +\begin{LTXexample}[width=6cm] +\psset{viewpoint=50 50 30 rtp2xyz,Decran=25,lightsrc=viewpoint} +\begin{pspicture}(-3,-2)(2,2) +\psSolid[ + action=draw, + object=cube, + RotZ=30, + trunccoeff=.2, + trunc=all]% +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[width=6cm] +\psset{viewpoint=50 50 30 rtp2xyz,Decran=25,lightsrc=viewpoint} +\begin{pspicture}(-3,-2)(2,2) +\psSolid[action=draw, + object=cube, + RotZ=30, + trunccoeff=.2, + trunc=0 1 2 3]% +\end{pspicture} +\end{LTXexample} + +\endinput
\ No newline at end of file diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-tube_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-tube_en_corr.tex new file mode 100644 index 00000000000..1799ba0ef69 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-tube_en_corr.tex @@ -0,0 +1,255 @@ +\section{Tubes} + +This section is about to substitute a curve in two or three dimensions (2D or 3D), +that are setup parameterized, by a tube, where the initial curve is the axes and +we can choose the radius and grid. We find some mathematical elements concerning +these objects on the following websites: + +\centerline{\url{http://fr.wikipedia.org/wiki/Tube_(math\%C3\%A9matiques)}} + +\centerline{\url{http://www.mathcurve.com/surfaces/tube/tube.shtml}} + +As usual, the \texttt{pst-solides3d} package offers two possibilities to draw the tubes: +\begin{itemize} + \item via \texttt{PSTricks} and the argument \verb+object+ of \bs{psSolid} + \item directly with \verb+\codejps+ +\end{itemize} + +\encadre{It is often advisable to calculate in advance, by hand or with a preferred software, the first derivatives of the parametric functions which define the coordinates.} + +However, if this derivative isn't defined explicitly by the user, the package makes some approximate calculations, but the result then is not always sufficient. + + +\subsection{Usage with PSTricks} + +\subsubsection{Give your curves a relief} +``\textit{Donnez du relief \`{a} vos courbes}'', this is the title of the article +from Robert \textsc{Ferr\'{e}ol}, available on: + +\url{http://mapage.noos.fr/r.ferreol/atelecharger/textes/relief/courbes\%20en\%20relief.html} + +from who the following functions were borrowed and which are analogous to a +Lissajous figure enrolled around a cylinder. + + +\begin{LTXexample}[pos=t] +\begin{pspicture}(-3.5,-4)(4,4) +\psset{lightsrc=80 30 30,viewpoint=100 45 30 rtp2xyz,Decran=110,linewidth=0.2pt} +\defFunction[algebraic]{Func}(t){2.5*cos(t)}{2.5*sin(t)}{2*cos(5*t)} +\defFunction[algebraic]{Func'}(t){-2.5*sin(t)}{2.5*cos(t)}{-10*sin(5*t)} +\psSolid[object=courbe,range=0 6.28,hue=0 1 0.7 1, + ngrid=360 8,function=Func,r=0.15] +\end{pspicture} +\end{LTXexample} + + +The argument \verb+[objet=courbe]+ with the parameters +\verb+[r=]+, \verb+[function=]+ and \verb+[range=]+ is used to specify +the radius of the tube, the name of the function to be used and the range. + +We can also refine the grid with the optional argument +\texttt{[ngrid=$n_1$ $n_2$]} where $n_1$ represents the number of +vertices of a section of a tube (if $n_1 = 6$, this gives a tube with a +hexagonal section) and $n_2$ represents the number of divisions along it. + + +\subsubsection{A hairline curve is produced with the radius \texttt{[r=0]}} + +And thus, no fear to specify the derived function. + +\begin{LTXexample}[pos=t] +\begin{pspicture}(-3.5,-4)(4,4) +\psset{lightsrc=80 30 30,viewpoint=100 45 30 rtp2xyz,Decran=110} +\defFunction[algebraic]{FI}(t){2.5*cos(t)}{2.5*sin(t)}{2*cos(5*t)} +\psSolid[object=courbe,range=0 6.28,linewidth=2pt,linecolor=blue,function=FI,r=0] +\end{pspicture} +\end{LTXexample} + + +\subsection{Usage with \texttt{\textbackslash{}codejps}} + +The syntax is \texttt{\textbackslash{}codejps\{t\_min t\_max (name\_function) +radius\_tube [n1 n2] newtube\}.} + + +\begin{LTXexample}[pos=t] +\begin{pspicture}(-3.5,-3.5)(4,3.5) +\psset{lightsrc=80 30 30,viewpoint=100 45 90 rtp2xyz,Decran=100,linewidth=0.2pt} +\codejps{ +/rpn {tx@AlgToPs begin AlgToPs end cvx exec} def +/xc {((2+1*cos(2.75*t))*cos(t)) rpn } def +/yc {((2+1*cos(2.75*t))*sin(t)) rpn } def +/zc {(1*sin(2.75*t)) rpn } def +/xc' {(-2.75*sin(2.75*t)*cos(t)-(2+cos(2.75*t))*sin(t)) rpn } def +/yc' {(-2.75*sin(2.75*t)*sin(t)+(2+cos(2.75*t))*cos(t)) rpn } def +/zc' {(2.75*cos(2.75*t)) rpn } def +/g { 3 dict begin /t exch def xc yc zc end } def +/g' { % first derivative +3 dict begin /t exch def xc' yc' zc' end } def +/solenoide{ +% t_min t_max (name_function) radius_tube [resolution] + 0 25.2 (g) 0.1 [360 8] newtube dup [0 1] solidputhuecolors} def +solenoide +drawsolid** +}% +\end{pspicture} +\end{LTXexample} + +\subsection{Improving the speed of readout} + +The curve with the name ``\textit{horopter}'' is the subject of this website: + +\centerline{\url{http://www.mathcurve.com/courbes3d/horoptere/horoptere.shtml}} + +\subsubsection{Obtaining the curve directly} + +The following lines allow to calculate the points and draw the curve. +The resolution \texttt{[ngrid=72 12]} of the curve was increased, so some +more calculation time to produce the result, which some will judge as very long. +\begin{verbatim} +\begin{pspicture}(-7,-2)(7,4) +\psset{lightsrc=80 30 30} +\psset{viewpoint=1000 60 20 rtp2xyz,Decran=1000} +\psframe(-7,-2)(7,4) +\psset{solidmemory} +\codejps{/a 2 def /b 2 def}% +\defFunction[algebraic]{F3}(t) + {a*(1+cos(t))} + {b*tan(t/2)} + {a*sin(t)} +\defFunction[algebraic]{F3'}(t) + {-a*sin(t)} + {b*(1+tan(1/2*t)^2)} + {a*cos(t)} +\psSolid[object=courbe, + range=-2.7468 2.7468, + ngrid=72 12, + function=F3,hue=0 1 0.7 1, + action=none,name=H1, + r=1]% +\psSolid[object=cylindrecreux, + h=20,r=1,RotX=90, + incolor=green!30,action=none, + name=C1, + ngrid=36 36](2,10,0) +\psSolid[object=fusion, + base=H1 C1] +\composeSolid +\end{pspicture} +\end{verbatim} + +\subsubsection{Saving the parameters of the curve} + +If this curve is used several times it is advisable to backup all the +characteristics of that curve, like: +coordinates of the vertices, list of colors of the faces with placing +the last command \texttt{[action=writesolid]}: +\begin{verbatim} +\psSolid[object=fusion, + base=H1 C1, + file=horoptere, + action=writesolid] +\end{verbatim} +The following sequence \Cadre{LaTeX fichier.tex->dvips->GSview + (Windows) or gv (Linux)} will generate 4 files: +\begin{itemize} + \item \texttt{horoptere-couleurs.dat} $\rightarrow$ the colors of the faces; + \item \texttt{horoptere-faces.dat} $\rightarrow$ the list of faces; + \item \texttt{horoptere-sommets.dat} $\rightarrow$ the list of vertices; + \item \texttt{horoptere-io.dat} $\rightarrow$ the number of faces and vertices. +\end{itemize} + +then read and execute the files with the command: +\texttt{\textbackslash{}psSolid[object=datfile,file=horoptere]}, the time saved can be quite significant + + + +\encadre{By default, under Windows and Linux, the security of files on the hard drive is activated and doesn't allow to write on the drive. +To deactivate that security option, more or less temporarily, here the two corresponding procedures: + +\begin{description} + + \item[Linux:] The advice from Jean-Michel \textsc{Sarlat}: the simplest will be to use GhostScript directly, within the console. As there is no image to wait for: + +\$$>$ gs -dNOSAFER monfichier.ps quit.ps + \item[Windows:] Within the menue \texttt{Options}, the option + \textsf{Security of files} must be turned to unchecked. +\end{description}} + +\subsubsection{The plot of the curve} + +\begin{LTXexample}[width=9cm] +\begin{pspicture}(-5,-3.5)(4,3) +\psset{lightsrc=80 30 30} +\psset{viewpoint=100 60 20 rtp2xyz, + Decran=75} +\psframe*[linecolor=cyan!30](-4.5,-3)(3.5,3) +\psSolid[object=datfile,file=horoptere] +\end{pspicture} +\end{LTXexample} + + + +\subsection{Some other examples} + + +\subsubsection{A straight line} + +\begin{LTXexample}[width=7cm] +\begin{pspicture}(-3.5,-2)(3.5,2) +\psset{viewpoint=100 -20 20 rtp2xyz, + Decran=75,unit=0.8} +\psSolid[object=grille,base=-4 4 -4 4]% +\defFunction[algebraic]{FIV}(t){t}{t}{0.5} +\defFunction[algebraic]{FIV'}(t){1}{1}{0} +\psSolid[object=courbe, + range=-4 4, ngrid=16 16, + function=FIV, r=0.5] +\end{pspicture} +\end{LTXexample} + + + +\subsubsection{A hypocycloid} + +\begin{LTXexample}[width=7cm] +\begin{pspicture}(-3.5,-3)(3.5,3) +\psset{viewpoint=100 20 45 rtp2xyz, + Decran=75,unit=0.7} +\psSolid[object=grille,base=-5 5 -5 5]% +\defFunction[algebraic]{FII}(t) + {4*cos(t)+cos(4*t)/2} + {4*sin(t)-sin(4*t)/2} + {1} +\defFunction[algebraic]{FII'}(t) + {-4*sin(t)-2*sin(4*t)} + {4*cos(t)-2*cos(4*t)} + {0} +\psSolid[object=courbe, + range=0 6.28,ngrid=90 16, + function=FII,r=1] +\end{pspicture} +\end{LTXexample} + +\subsubsection{The spring of Gaston} + +\begin{LTXexample}[width=7cm] +\begin{pspicture}(-3.5,-4)(3.5,4.5) +\psset{lightsrc=80 30 30, + viewpoint=100 20 20 rtp2xyz,Decran=50} +\defFunction[algebraic]{FIII}(t) + {(t^2+3)*sin(15*t)} + {(t^2+3)*cos(15*t)}{2*t} +\defFunction[algebraic]{FIII'}(t) + {2*t*sin(15*t)+15*(t^2+3)*cos(15*t)} + {2*t*cos(15*t)-15*(t^2+3)*sin(15*t)}{2} +\psSolid[object=courbe, + range=-2 2,ngrid=360 6, + function=FIII,hue=0.2 0.3, + linewidth=0.1pt,r=0.2] +\end{pspicture} +\end{LTXexample} + + +\endinput + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-vecteur_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-vecteur_en_corr.tex new file mode 100644 index 00000000000..ee5baa53b0e --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-vecteur_en_corr.tex @@ -0,0 +1,83 @@ +\section{The object \texttt{vecteur}} + +\subsection{Definition with components} + +The object \verb+vecteur+ allows us to define a vector. The simplest way to do that is to use the argument \texttt{[args=$x$ $y$ $z$]} to specify its components. + +\psset{lightsrc=10 -20 50,viewpoint=50 -20 30 rtp2xyz,Decran=100} +\begin{LTXexample}[width=6cm] +\begin{pspicture*}(-1,-1)(1,2) +\psSolid[object=vecteur, + action=draw*, + args=0 0 1, + linecolor=yellow]% +\psSolid[object=vecteur, + args=1 0 0, + linecolor=red] +\psSolid[object=vecteur, + args=0 0 1, + linecolor=blue](1,0,0) +\end{pspicture*} +\end{LTXexample} + +\subsection{Definition with 2 points} + +We can also define a vector with 2 given points $A$ and $B$ of $\mathbb{R}^3$. + +One then uses the arguments \verb+[definition=vecteur3d]+ and \texttt{[args=$x_A$ $y_A$ $z_A$ $x_B$ +$y_B$ $z_B$]} where $(x_A, y_A, z_A)$ and $(x_B, y_B, z_B)$ are the appropriate coordinates of the points $A$ et $B$ + +If the points $A$ and $B$ were already defined, one can easily use the named variables: +\texttt{[args=$A$ $B$]}. + +\psset{lightsrc=10 -20 50,viewpoint=20 20 20,Decran=20} +\begin{LTXexample}[width=6cm] +\begin{pspicture*}(-3,-3)(4.5,2) +\psSolid[object=plan, + linecolor=gray, + definition=equation, + args={[0 1 1 0]}, + base=-1 3 -2 2, + planmarks, + plangrid] +\psSolid[object=vecteur, + definition=vecteur3d, + args=0 0 1 1 1 1]% +\end{pspicture*} +\end{LTXexample} + + +\subsection{Some other definitions of a vector} + +There are some other possibilities to define a vector. Here a list of some possible definitions with the appropriate arguments: + +\begin{itemize} + +\item \verb+[definition=addv3d]+; +\verb+args=+ $\vec u$ $\vec v$. + +Addition of 2 vectors. + +\item \verb+[definition=subv3d]+; +\verb+args=+ $\vec u$ $\vec v$. + +Difference of 2 vectors. + +\item \verb+[definition=mulv3d]+; +\verb+args=+ $\vec u$ $\lambda $. + +Multiplication of a vector with a real. + +\item \verb+[definition=vectprod3d]+; +\verb+args=+ $\vec u$ $\vec v$. + +Vector product of 2 vectors. + +\item \verb+[definition=normalize3d]+; +\verb+args=+ $\vec u$. + +Normalized vector $\Vert \vec u\Vert ^{-1} \vec u$. + +\end{itemize} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/paraboloid-couleurs.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/paraboloid-couleurs.dat new file mode 100644 index 00000000000..1eaf3d68507 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/paraboloid-couleurs.dat @@ -0,0 +1,12800 @@ +(1 1 1 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/pst-solides3d-doc-EN.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/pst-solides3d-doc-EN.tex new file mode 100644 index 00000000000..558aa392901 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/pst-solides3d-doc-EN.tex @@ -0,0 +1,493 @@ +\listfiles % Writes out the package versions in the log file +\documentclass[% + 11pt, % normal font size (default, alias for fontsize=11pt) + BCOR10mm, % binding correction (deprecated, use: BCOR=10mm) + DIV12, % divison factor for page layout contrution + % (deprecated, use: DIV=12) + bibtotoc, % add unnumbered entry for the bibliography to the table + % of contents (deprecated, use: toc=bibliography or + % bibliography=totoc) + parskip, % use one base line vertical inter-paragraph space and + % at least 1 em horizontal space at the end of paragraphs + % instead of indenting first line of paragraphs + twoside, % use twosided layout (default) + smallheadings, % use smaller font sizes for headings (but at least + % \normalsize) with less vertical above and below headings + % (deprecated, use: headings=small) + 1.1headlines, % set head height to 1.1\baselineskip of \normalsize + % (deprecated, use: headlines=1.1) + headexclude, % page head is part of the margins not the type area + % (default, deprecated, use: headinclude=false) + footexclude, % page foot is part of the margins not the type area + % (default, deprecated, use: footinclude=false) + mpexclude % margin notes are part of the margins not the type area + % (default, deprecated, use: mpinclude=false) + ]{scrbook} + +\usepackage[latin1]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{lmodern} +\usepackage{scrpage2} +\pagestyle{scrheadings} + +%\usepackage{arev} +%\usepackage{manfnt} +%\usepackage[garamond]{mathdesign} +%\renewcommand{\ttdefault}{lmtt} + +\usepackage{multicol} % Intermix single and multiple columns +\usepackage{longtable} % Allows tables to flow over page boundaries +\usepackage{array} % Extending the array and tabular environments +\usepackage{arrayjob} % Management of arrays +\usepackage{url} % Verbatim with URL-sensitive line breaks +\usepackage[a4paper,dvips,hmargin=2cm,vmargin=3cm]{geometry} % Flexible and complete interface to document dimensions +\usepackage{framed} % Framed or shaded regions that can break across pages +\usepackage{amsmath,amssymb} % allows multiple maths-environments +\usepackage{ragged2e} +\usepackage{titlesec} % Select alternative section titles + + +%%%%%%% +%%%%%%% Loading the necessary graphic packages +\usepackage[dvipsnames,svgnames,table]{pstricks} % Loads the basic packages of 'PSTricks' + % with predefined color schemes from 'xcolor' +\usepackage[final]{showexpl} % Typesetting LaTeX source code +\usepackage{pst-plot} % Macros for plotting functions and data records +\usepackage{pst-eucl} % The 'pst-eucl' package allow the drawing of Euclidean geometric + % figures using LaTeX macros for specifying mathematical constraints. + % It is thus possible to build point using common transformations or intersections. + % The use of coordinates is limited to points which controlled the figure. +\usepackage{pst-solides3d} % The package is designed to draw solids in 3D perspective. +\let\PSTfileversion\fileversion +\let\PSTfiledate\filedate +\usepackage{pstricks-add} % A collection of add-ons and bugfixes for PSTricks. + % Allows 'algebraic notation' instead of the PostScript + % native RPN (Revers Polish Notation). +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Note: 'pstricks-add' always needs to be loaded last. % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\DeclareFixedFont{\timesnormal}{T1}{ptm}{m}{n}{2cm} +\raggedbottom +\makeatletter +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% adapt\'{e} de \psRandom du package pstricks-add +%% pour rendre al\'{e}atoire la taille des \'{e}toiles +%% Manuel Luque +\newdimen\pssizeStar +\def\psset@sizeStar#1{\pssetlength\pssizeStar{#1}} +\psset@sizeStar{1pt} +\def\psRandomStar{\pst@object{psRandomStar}}% +\def\psRandomStar@i{\@ifnextchar({\psRandomStar@ii}{\psRandomStar@iii(0,0)(1,1)}} +\def\psRandomStar@ii(#1){\@ifnextchar({\psRandomStar@iii(#1)}{\psRandomStar@iii(0,0)(#1)}} +\def\psRandomStar@iii(#1)(#2)#3{% + \def\pst@tempA{#3}% + \ifx\pst@tempA\pst@empty\psclip{\psframe(#2)}\else\psclip{#3}\fi + \pst@getcoor{#1}\pst@tempA + \pst@getcoor{#2}\pst@tempB + \begin@SpecialObj + \addto@pscode{ + \pst@tempA\space /yMin exch def + /xMin exch def + \pst@tempB\space /yMax exch def + /xMax exch def + /dy yMax yMin sub def + /dx xMax xMin sub def + rrand srand % initializes the random generator + /getRandReal { rand 2147483647 div } def + \psk@randomPoints { + /DS \pst@number\pssizeStar\space getRandReal mul def + \@nameuse{psds@\psk@dotstyle} + \ifPst@color getRandReal 1 1 sethsbcolor \fi + getRandReal dx mul xMin add + getRandReal dy mul yMin add + Dot + \ifx\psk@fillstyle\psfs@solid fill \fi stroke + } repeat + }% + \end@SpecialObj + \endpsclip + \ignorespaces +} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% macro H.Voss sur : +%%http://tug.org/mailman/htdig/pstricks/2007/004640.html + +\def\GetCenter#1{ tx@NodeDict begin /N@#1 load GetCenter end + \pst@number\psyunit div /#1.y ED + \pst@number\psxunit div /#1.x ED } +\makeatother + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Jean-Michel Sarlat et Guillaume Connan +\newenvironment{gbar}{% + \def\FrameCommand{{\color{red}\vrule width 2pt}\colorbox{yellow!30}}% + \MakeFramed {\advance\hsize-\width \FrameRestore}}% +{\endMakeFramed} + +%%%%%%% +%%%%%%% Setting the Chapter layout +\titleformat{\chapter}[display] % {command}[shape] + {\usekomafont{chapter}\Large \color{OrangeReddy}} % format + { % label + \LARGE\MakeUppercase{\chaptertitlename} \Huge \thechapter \filright% + }%} + {1pt} % sep (from chapternumber) + {\titlerule \vspace{0.9pc} \filright \color{OrangeReddy}} % {before}[after] (before chaptertitle and after) + [\color{OrangeReddy} \vspace{0.9pc} \filright {\titlerule}] + + +%%%%%%% +%%%%%%% Highlight some expressions +\newcommand\Cadre[1]{\psframebox[fillstyle=solid,fillcolor=gray!20,linecolor=gray!20]{\texttt{#1}}} + +%%%%%%% +%%%%%%% Box and highlight some notes +\newcommand\encadre[1]{ +\psframebox[fillstyle=solid,fillcolor=gray!20,linecolor=gray!20]{ + \begin{minipage}{\textwidth} + {\textbf{\textcolor{OrangeReddy}{Note:}}\qquad #1} + \end{minipage}} +} + + +%%%%%%% +%%%%%%% Highlight the table of the predefined solids +\newcommand\toptableau{ +\rowcolor{gray!20} + \textbf{Solid} & \begin{tabular}{c} + \textbf{Default}\\ + \textbf{Parameters} + \end{tabular} & + \begin{minipage}{4cm} + \centerline{\textbf{View}} + \end{minipage}& + \begin{minipage}{4cm} + \centerline{\textbf{Code}} + \end{minipage}} +%%%%%%% +%%%%%%% Color array +\newarray\colors +\readarray{colors}{% +Apricot&Aquamarine% +&Bittersweet&Black&Blue&BlueGreen&BlueViolet&BrickRed&Brown&BurntOrange% +&CadetBlue&CarnationPink&Cerulean&CornflowerBlue&Cyan&Dandelion&DarkOrchid% +&Emerald&ForestGreen&Fuchsia&Goldenrod&Gray&Green&GreenYellow&JungleGreen% +&Lavender&LimeGreen&Magenta&Mahogany&Maroon&Melon&MidnightBlue&Mulberry% +&NavyBlue&OliveGreen&Orange&OrangeRed&Orchid&Peach&Periwinkle&PineGreen% +&Plum&ProcessBlue&Purple&RawSienna&Red&RedOrange&RedViolet&Rhodamine&RoyalBlue% +&RoyalPurple&RubineRed&Salmon&SeaGreen&Sepia&SkyBlue&SpringGreen&Tan&TealBlue% +&Thistle&Turquoise&Violet&VioletRed&White&WildStrawberry&Yellow&YellowGreen&YellowOrange} + +\edef\colorfaces{}% +\multido{\i=0+1}{67}{% + \checkcolors(\i) +\xdef\colorfaces{\colorfaces\i\space(\cachedata)\space}} + +\definecolor{bleuciel}{rgb}{0.78,0.84,0.99} +\definecolor{OrangeReddy}{rgb}{0.73,0.00,0.00} + +%%%%%%% +%%%%%%% Highlight some commands with backslashes (the three macros) +\newcommand{\bs}[1]{% + \psframebox[fillstyle=solid,fillcolor=gray!20, + linecolor=gray!20]{\texttt{\textbackslash#1}}} + +%%%%%%% +%%%%%%% Positioning the viewpoint +\def\PointEcran(#1,#2,#3)#4{% position of the viewpoint on the screen +\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}} + + +%%%%%%% +%%%%%%% Defining the path for the input files +\def \datapath{% +% ../doc/} +} + +%%%%%%% +%%%%%%% Layout of the verbatim listing of showexamples +\lstset{% + basicstyle=\ttfamily\footnotesize, + commentstyle=\color{PineGreen}\slshape\footnotesize, + showspaces=false, + showstringspaces=false, + breaklines=true, + backgroundcolor=\color{gray!20}, + breakautoindent=true, + captionpos=t, + language=TeX, + emph={\begin,\codejps,\end}, + emphstyle=\color{RoyalBlue}, + emph={[2]pspicture}, + emphstyle={[2]\color{OrangeReddy}}, + numbersep=5pt +} + +%%%%%%% +%%%%%%% Title Page +\title{\texttt{pst-solides3d}:\\ + The Documentation -- The Basics + \\[0.5cm] +{\normalsize v. \PSTfileversion\ (\PSTfiledate)}\\ +\input \datapath tintin +} +\author{Jean-Paul \textsc{Vignault}, Manuel \textsc{Luque}, Arnaud +\textsc{Schmittbuhl}\\ +{\small + \url{<jpv@melusine.eu.org>}, \url{<manuel.luque27@gmail.com>}, + \url{<aschmittbuhl@libertysurf.fr>}} +\thanks{With the additional help of:\newline + J\"{u}rgen \textsc{Gilg} \url{<gilg@acrotex.net>},\newline + Jean-Michel \textsc{Sarlat} \url{<jm.sarlat@gmail.com>},\newline + Herbert \textsc{Voss} \url{<herbert.voss@fu-berlin.de>}. +}} +\date{\today} + + + +\usepackage[ +% colors for the links + colorlinks=true, % color links + urlcolor=OrangeReddy, % color of URL links + filecolor=black, % color of file links + linkcolor=OrangeReddy, % color of links +% Links + %raiselinks=true, % raise up links (for HyperTeX backend) + %backref=page, % do bibliographical back refenrernces + pagebackref=true, % back reference by page numbers + verbose, % be chatty + hyperindex=true, % set up hyperlink indices + linktocpage=true, % make page number, not text, be linked on TOC, LOF, LOT + hyperfootnotes=false, % do not set up hyperlink footnotes +% Bookmarks + bookmarks=true, % Generating Bookmarks for the PDF-Viewer + bookmarksopenlevel=1, % Level to which Bookmarks are opened + bookmarksopen=true, % Open up Bookmarks tree + bookmarksnumbered=true, % Put section numbers in Bookmarks + %bookmarkstype=toc, % Specify which TOC file to mimic +% Anchors + plainpages=false, % do not page number anchors as plain arabic + pageanchor=true % put an anchor on every page + ]{hyperref} + +%%%%%%% +%%%%%%% PDF Informations +\hypersetup{% + pdftitle={pst-solides3d - The Documentation}, % Text for the PDF title field + pdfauthor={Jean-Paul Vignault, Manuel Luque, Arnaud Schmittbuhl}, % Text for the PDF author field + pdfcreator={LaTeX, hyperref, KOMA-Script}, % Text for the PDF creator field + %pdfproducer={pdfeTeX 1.10b-2.1} % Text for the PDF producer field + pdfstartview=FitH, % Fits the width of the page to the window. + pdfpagemode=UseOutlines, % Show Bookmarks in the Viewer + pdfpagelabels=true % set PDF page labels + } +\usepackage{breakurl} % Line-breakable \url-like links in hyperref when compiling via dvips/ps2pdf + +%%%%%%%%% Herbert +%\usepackage{underscore} +\ofoot{\pagemark} +\newcommand\Input[2][\datapath]{\ifoot{{\footnotesize#2}}\input{#1#2}} +% doesnt wotrk with underscores in filename + + +\begin{document} +\maketitle + +\tableofcontents + +\newpage + +\chapter{Basics for the package} +\input \datapath chapter_1_en_corr + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\chapter{Basic commands} +\input \datapath chapter_2_en_corr +\input \datapath par-solidespredefinis_en_corr +\input \datapath par-positionnersolide_en_corr + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\chapter{More options of \textbackslash{}psSolid} +\input \datapath par-commandestrace_en_corr + +\input \datapath par-solidescreux_en_corr + +\input \datapath par-numeroterfacettes_en_corr + +\input \datapath par-enleverfacettes_en_corr + +\input \datapath par-pointagesommets_en_corr + +\input \datapath par-couleurs_en_corr + +\input \datapath par-colorierfacettes_en_corr + +\input \datapath par-opacity_en_corr + +\input \datapath par-definitionmaillage_en_corr + +\input \datapath par-modes_en_corr + +\input \datapath par-eclairageponctuel_en_corr + +\input \datapath par-tronque_en_corr + +\input \datapath par-affinage_en_corr + +\input \datapath par-chanfrein_en_corr + +\input \datapath par-transform_en_corr + +\input \datapath par-lignedeniveau_en_corr + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\chapter{Usage of external files} +\input \datapath par-datfile_en_corr + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\chapter{Some special objects} +%\input \datapath par-grille_en_corr +\input \datapath par-point_en_corr + +\input \datapath par-vecteur_en_corr + +\input \datapath par-plan_en_corr + +\input \datapath par-geode_en_corr + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\chapter{Generating some new solids} +\input \datapath par-codejps_en_corr + +\input \datapath par-definirfonction_en_corr + +\input \datapath par-courbeR3_en_corr + +\input \datapath par-tube_en_corr + +\input \datapath par-prisme_en_corr + +\input \datapath par-new_en_corr + +\input \datapath par-face_en_corr + +\input \datapath par-ruban_en_corr + +\input \datapath par-anneaux_en_corr + +\input \datapath par-cylindres-cones_en_corr + +\input \datapath par-surfacesparametrees_en_corr + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\chapter{Surfaces defined by a function of the form $z=f(x,y)$} +\input \datapath par-surfaces_en_corr + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\chapter{Advanced usage} +\input \datapath par-nommersolide_en_corr + +\input \datapath par-section_en_corr + +\input \datapath par-fusion_en_corr + +\input \datapath par-fusionjps_en_corr + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\chapter{Interaction with PSTricks} + +\input \datapath par-positionnerpointconnu_en_corr + +\input \datapath par-ligne3D_en_corr + +\input \datapath par-tracerpolygone_en_corr + +\input \datapath par-transformpointconnu_en_corr + +\input \datapath par-annoterschema_en_corr + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\chapter{Projections} +\input \datapath par-projpresentation_en_corr + +\input \datapath par-projectionvisibility_en_corr + +\input \datapath par-definirplanquelconque_en_corr + +\input \datapath par-projectionpoint_en_corr + +\input \datapath par-projectionvecteur_en_corr + +\input \datapath par-projectiondroite_en_corr + +%\newpage +\input \datapath par-projectioncercle_en_corr + +\input \datapath par-projectionpolygone_en_corr + +\input \datapath par-projectionligne_en_corr +%\newpage + +\input \datapath par-projectionangledroit_en_corr + +\input \datapath par-projectioncourbe_en_corr + +\input \datapath par-projectiontexte_en_corr + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\chapter{Possible extensions} +\input \datapath par-extensions_en_corr + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\appendix +\chapter{Appendix} +\input \datapath par-parametres_en_corr +\input \datapath par-keywords_en_corr +\input \datapath par-acknowledgements_en +\input \datapath par-poems_en + + +\nocite{*} +\bgroup +\RaggedRight +\bibliographystyle{plain} +\bibliography{pst-solides3d-doc} +\egroup + +\end{document} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/pst-solides3d-doc.bib b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/pst-solides3d-doc.bib new file mode 100644 index 00000000000..c96eef7409f --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/pst-solides3d-doc.bib @@ -0,0 +1,98 @@ +%% -*-bibtex-*- +@STRING{tugboat = {TUGboat} } +@STRING{dtk = {{D}ie {\TeX}nische {K}om{\"o}die} } + +@Book{casselman05, + author = {Bill Casselman}, + title = {Mathematical {I}llustrations -- a manual of geometry and {P}ost{S}cript}, + publisher = {Cambridge University Press}, + year = {2005}, + address = {Cambridge}, +} + + +@Book{PSTricks2, + author = {Herbert Vo\ss}, + title = {{PSTricks,} {G}rafik f\"ur \TeX{} und \LaTeX}, + edition = {4th}, + publisher = {DANTE -- Lehmanns}, + year = {2007}, + address = {Heidelberg/Hamburg} +} + +@Book{companion04, + author = {Frank Mittelbach and Michel Goosens et al}, + title = {The {\LaTeX} {C}ompanion}, + edition = {2nd}, + publisher = {Addison-Wesley Publishing Company}, + year = {2004}, + address = {Boston} +} + +@Book{unbound, + author = {Alan Hoenig}, + title = {\TeX{} {U}nbound: \LaTeX{} \& \TeX{} {S}trategies, {F}onts, {G}raphics, and {M}ore}, + publisher = {Oxford University Press}, + year = {1998}, + address = {London} +} + +@Book{tlgc2, + author = {Michel Goosens and Frank Mittelbach and Sebastian Rahtz and Denis Roegel and Herbert Vo{\ss}}, + title = {The {\LaTeX} {G}raphics {C}ompanion}, + publisher = {{Addison-Wesley Publishing Company}}, + edition = {2nd}, + year = {2007}, + address = {Reading, Mass.} +} + +@Article{girou:01:, + author = {Denis Girou}, + title = {Pr\'esentation de {PST}ricks}, + journal = {Cahier {GUT}enberg}, + year = 1994, + volume = {16}, + month = apr, + pages = {21-70} +} + +@Article{girou:02:, + author = {{Timothy Van} Zandt and Denis Girou}, + title = {Inside {PST}ricks}, + journal = TUGboat, + year = 1994, + volume = {15}, + month = sep, + pages = {239-246} +} + +@MISC{xkeyval, + author = {Hendri Adriaens}, + title = {xkeyval package}, + howpublished = {\url{CTAN:/macros/latex/contrib/xkeyval}}, + year = 2004 +} + +@Article{rahtz:96-1, + author = {Sebastian Rahtz}, + title = {An introduction to {PST}ricks, part {I}}, + journal = {Baskerville}, + address = {\url{CTAN: /usergrps/uktug/baskervi/}}, + year = 1996, + volume = 6, + number = 1, + month = feb, + pages = {22-34} +} +@Article{rahtz:96-2, + author = {Sebastian Rahtz}, + title = {An introduction to {PST}ricks, part {II}}, + journal = {Baskerville}, + address = {\url{CTAN: /usergrps/uktug/baskervi/}}, + year = 1996, + volume = 6, + number = 2, + month = apr, + pages = {23-33} +} + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/rocket.obj b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/rocket.obj new file mode 100644 index 00000000000..4ecc0d252f2 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/rocket.obj @@ -0,0 +1,356 @@ +v 0.007667 0.136523 -0.000000 +v 0.007083 0.136523 0.002827 +v 0.005421 0.136523 0.005224 +v 0.002934 0.136523 0.006826 +v -0.000000 0.136523 0.007388 +v -0.002934 0.136523 0.006826 +v -0.005421 0.136523 0.005224 +v -0.007083 0.136523 0.002827 +v -0.007667 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+(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860lemniscate-faces.dat 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860ovales-faces.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860ovales-faces.dat new file mode 100644 index 00000000000..9b4f939da22 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/tore1860ovales-faces.dat @@ -0,0 +1,706 @@ +[740 741 742 743 735 736 731 732 727 728 722 723 724 725 726 729 730 733 734 737 738 744 745 746 747 739 ] +[720 719 716 715 712 711 708 707 701 700 699 698 697 696 706 705 704 703 702 710 709 714 713 718 717 721 ] +[1 0 18 19 ] +[2 1 19 20 ] +[3 2 20 21 ] +[4 3 21 22 ] +[5 4 22 23 ] +[6 5 23 24 ] +[7 6 24 25 ] +[8 7 25 26 ] +[9 8 26 27 ] +[10 9 27 28 ] 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1.47721 +3.0 -7.45079e-008 -1.47721 +3.0 0.315313 1.47721 +3.0 0.315313 -1.47721 +3.0 0.637669 1.47721 +3.0 0.637669 -1.47721 +3.0 0.974756 1.47721 +3.0 0.974756 -1.47721 +3.0 1.33568 1.46868 +3.0 1.27038 1.47721 +3.0 1.27038 -1.47721 +3.0 1.33568 -1.46868 +3.0 1.73205 1.4031 +3.0 1.73205 -1.4031 +3.0 2.17963 1.31425 +3.0 2.17963 -1.31425 +3.0 2.70121 1.05831 +3.0 2.24596 1.29904 +3.0 2.24596 -1.29904 +3.0 2.70121 -1.05831 +3.0 3.33184 0.0939952 +3.0 3.22749 0.51303 +3.0 2.85963 0.964181 +3.0 2.85963 -0.964181 +3.0 3.22749 -0.51303 +3.0 3.33184 -0.0939952 +3.0 3.35314 0.0 diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-anneaux.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-anneaux.tex index d2f097f82eb..f8f44dfb3b2 100644 --- a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-anneaux.tex +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-anneaux.tex @@ -1,10 +1,8 @@ - \section {Solide anneau} Cette partie traite des anneaux cylindriques. Dans la commande \verb+\psSolid+, cet objet est tracé avec l'option : -\verb+[object=anneau]+, dont il faut fixer -3 paramètres : +\verb+[object=anneau]+, dont il faut fixer 3 paramètres : \begin{itemize} \item le rayon intérieur \verb+[r=1.5]+ (valeur par défaut) ; \item le rayon extérieur \verb+[R=4]+ (valeur par défaut) @@ -19,7 +17,7 @@ La section de l'anneau dont la forme \texttt{rectangulaire} a été choisie par défaut, peut être redessinée par l'utilisateur. Nous allons détailler différents exemples de section. -\subsection {Commande pré-définie~: l'anneau à section rectangulaire.} +\subsection{Commande pré-définie~: l'anneau à section rectangulaire.} Cette section est définie dans le plan $Oyz$, elle est paramétrée par le triplet $(r, R, h)$. Les valeurs du rayon @@ -29,34 +27,27 @@ anneau à section rectangulaire variable, et la définition se fait au moment de la transmission des valeurs pour $(r, R, h)$ dans les options de \verb+\psSolid+. -Si l'utilisateur redéfinit la macro \TeX {} \verb+\Section+ avec des +Si l'utilisateur redéfinit la macro \TeX{} \verb+\Section+ avec des valeurs numériques plutôt que les paramètres $r$, $R$ et $h$, alors l'anneau n'est plus variable et il n'est plus besoin de transmettre des valeurs pour $r$, $R$, et $h$ dans les options de \verb+\psSolid+. -\begin{minipage}{0.45\linewidth} -\begin{verbatim} -\newcommand\Section{% -% y z - R h 2 div neg % sommet 1 - % S1 (R,-h/2) - R h 2 div % sommet 2 - % S2 (r,h/2) - r h 2 div % sommet 3 - % S3 (r,h/2) - r h 2 div neg % sommet 4 - % S4 (r,-h/2) - } -\end{verbatim} -\end{minipage} -\hfill -\begin{minipage}{0.45\linewidth} -\psset{unit=0.5} -\begin{pspicture}(-5,-3)(5,3) -\pstVerb{/R 4 def /r 2 def /h 2 def}% -\newcommand\RectangularSection{% +%\begin{minipage}{0.45\linewidth} +\begin{lstlisting}[basicstyle=\footnotesize\ttfamily] +\def\Section{% y z + Rad1 height 2 div neg % S1 (R,-h/2) sommet 1 + Rad1 height 2 div % S2 (r,h/2) sommet 2 + rad2 height 2 div % S3 (r,h/2) sommet 3 + rad2 height 2 div neg }% S4 (r,-h/2) sommet 4 +\end{lstlisting} + +\begin{LTXexample}[width=5cm] +\psset{unit=0.5}\begin{pspicture}(-5,-3)(5,3) +\pstVerb{/Rad1 4 def /rad2 2 def /height 2 def}% +\def\RectangularSection{% \pspolygon[fillstyle=vlines,linewidth=2\pslinewidth]% - (!R h 2 div neg)(!R h 2 div)(!r h 2 div)(!r h 2 div neg)} + (!Rad1 height 2 div neg)(!Rad1 height 2 div)% + (!rad2 height 2 div)(!rad2 height 2 div neg)} \rput(0,0){\RectangularSection}\rput(-6,0){\RectangularSection} \psline(-2,1)(2,1)\psline(-2,-1)(2,-1) \psline[linestyle=dashed,dash=1 0.2 0.05 0.2]{->}(0,-3)(0,3) @@ -65,388 +56,219 @@ des valeurs pour $r$, $R$, et $h$ dans les options de \verb+\psSolid+. \psline{->}(0,1.5)(2,1.5)\uput[u](1,1.5){$r$} \psline{->}(0,2.5)(4,2.5)\uput[u](2,2.5){$R$} \psline{<->}(5,-1)(5,1)\uput[r](5,0){$h$} -\uput[dr](!R h 2 div neg){1} -\uput[ur](!R h 2 div ){2} -\uput[ul](!r h 2 div ){3} -\uput[dl](!r h 2 div neg){4} +\uput[dr](!Rad1 height 2 div neg){1}\uput[ur](!Rad1 height 2 div ){2} +\uput[ul](!rad2 height 2 div ){3} \uput[dl](!rad2 height 2 div neg){4} \end{pspicture} -\end{minipage} -% -\bgroup\centering -%% -\psset{unit=0.5} +\end{LTXexample} + + +\begin{center} +\begingroup +\psset{unit=0.5cm} \begin{pspicture}(-5,-4)(5,4) \psframe(-5,-4)(5,4) -\psset[pst-solides3d]{viewpoint=50 20 40 rtp2xyz,Decran=25,lightsrc=10 20 20} +\psset{viewpoint=50 20 40 rtp2xyz,Decran=25,lightsrc=10 20 20} \psSolid[object=anneau,fillcolor=cyan,h=3,R=8,r=6,ngrid=4,RotX=10](0,0,0) \end{pspicture} -%% +\qquad \begin{pspicture}(-5,-4)(5,4) \psframe(-5,-4)(5,4) -\psset[pst-solides3d]{viewpoint=50 -20 -40 rtp2xyz,Decran=25,lightsrc=-10 -20 -20} +\psset{viewpoint=50 -20 -40 rtp2xyz,Decran=25,lightsrc=-10 -20 -20} \psSolid[object=anneau,fillcolor=yellow,h=3,R=8,r=6,RotX=90,RotZ=10](0,0,0) \end{pspicture} -\par\egroup -%% \begin{verbatim} -%% \begin{pspicture}(-5,-6)(5,6) -%% \psframe(-5,-4)(5,4) -%% \psset[pst-solides3d]{viewpoint=50 20 40 rtp2xyz,% -%% Decran=25,lightsrc=10 20 20} -%% \psSolid[object=anneau,fillcolor=cyan,h=3,R=8,r=6,ngrid=4,RotX=10](0,0,0) -%% \end{pspicture} -%% %% -%% \begin{pspicture}(-5,-6)(5,5) -%% \psframe(-5,-4)(5,4) -%% \psset[pst-solides3d]{viewpoint=50 -20 -40 rtp2xyz,% -%% Decran=25,lightsrc=-10 -20 -20} -%% \psSolid[object=anneau,fillcolor=yellow,h=3,R=8,r=6,RotX=90,RotZ=10](0,0,0) -%% \end{pspicture} -%% \end{verbatim} -\begin{verbatim} +\endgroup +\end{center} + +\begin{lstlisting}[basicstyle=\footnotesize\ttfamily] \psSolid[object=anneau,fillcolor=cyan,h=3,R=8,r=6,ngrid=4,RotX=10](0,0,0) \psSolid[object=anneau,fillcolor=yellow,h=3,R=8,r=6,RotX=90,RotZ=10](0,0,0) -\end{verbatim} +\end{lstlisting} -\subsection {Un simple anneau à section triangulaire} +\subsection{Un simple anneau à section triangulaire} Ci-dessous un anneau très simple, à section triangulaire fixe. La section est définie par la donnée des $3$~points $(6, -2)$, (10, 0) et $(6, 2)$ dans l'option \texttt{section} de \verb+\psSolid+. -\begin{center} -\begin{minipage}{0.45\linewidth} -\psset{unit=0.5} -\begin{pspicture}(-5,-6)(5,6) -\psframe(-5,-4)(5,4) -\psset[pst-solides3d]{ - viewpoint=50 20 40 rtp2xyz,Decran=25, - lightsrc=10 20 20} -\psSolid[object=anneau, - section=6 -2 10 0 6 2, - fillcolor=cyan,RotX=10]% -\end{pspicture} -\end{minipage} -%% -\begin{minipage}{0.45\linewidth} -\begin{verbatim} -\psset{unit=0.5} -\begin{pspicture}(-5,-6)(5,6) +\begin{LTXexample}[width=5cm] +\psset{unit=0.5cm} +\begin{pspicture}(-5,-4)(5,4) \psframe(-5,-4)(5,4) -\psset[pst-solides3d]{ - viewpoint=50 20 40 rtp2xyz,Decran=25, +\psset{viewpoint=50 20 40 rtp2xyz,Decran=25, lightsrc=10 20 20} -\psSolid[object=anneau, - section=6 -2 10 0 6 2, - fillcolor=cyan,RotX=10]% +\psSolid[object=anneau,section=6 -2 10 0 6 2, + fillcolor=cyan,RotX=10] \end{pspicture} -\end{verbatim} -\end{minipage} -\end{center} +\end{LTXexample} -%\newpage -\subsection {Un anneau variable à section triangulaire} +\subsection{Un anneau variable à section triangulaire} -\newcommand\SectionTriangulaire{ - R h 2 div neg % sommet 1 - R r add 2 div h 2 div % sommet 2 - r h 2 div neg % sommet 3 -} +\begin{lstlisting}[basicstyle=\footnotesize\ttfamily] +\newcommand\SectionTriangulaire{% y <----z----> + Rad1 height 2 div neg % S1 (R,-h/2) + Rad1 rad2 add 2 div height 2 div % S2 ((R+r)/2,h/2) + rad2 height 2 div neg } % S3 (r,-h/2) +\end{lstlisting} -\begin{minipage}{0.45\linewidth} -\begin{verbatim} -\newcommand\SectionTriangulaire{ -% y <----z----> - R h 2 div neg - % S1 (R,-h/2) - R r add 2 div h 2 div - % S2 ((R+r)/2,h/2) - r h 2 div neg - % S3 (r,-h/2) -} -\end{verbatim} -\end{minipage} -\hfill -\begin{minipage}{0.45\linewidth} -\psset{unit=0.5} +\def\TriangularSection{% + \pspolygon[fillstyle=vlines,linewidth=1.5pt](!Rad1 height 2 div neg)% + (!Rad1 rad2 add 2 div height 2 div)(!rad2 height 2 div neg)} +\begin{LTXexample}[width=5cm] +\psset{unit=0.5cm}\pstVerb{/Rad1 4 def /rad2 2 def /height 2 def }% \begin{pspicture}(-5,-3)(5,3) -%\psgrid -\pstVerb{/R 4 def /r 2 def /h 2 def}% -\newcommand\TriangularSection{% - \pspolygon[fillstyle=vlines,linewidth=2\pslinewidth]% - (!R h 2 div neg)(!R r add 2 div h 2 div)(!r h 2 div neg)} \rput(0,0){\TriangularSection}\rput(-6,0){\TriangularSection} \psline(-3,1)(3,1)\psline(-4,-1)(4,-1) \psline[linestyle=dashed,dash=1 0.2 0.05 0.2]{->}(0,-3)(0,3) \uput[u](0,3){$z$}\uput[r](4.1,0){$y$}\uput[dl](0,0){$O$} -\psline[linestyle=dashed](2,-1)(2,1.5) -\psline[linestyle=dashed](4,-1)(4,2.5) -\psline[linestyle=dashed]{->}(-4,0)(4.2,0) \psline{->}(0,1.5)(2,1.5)\uput[u](1,1.5){$r$} \psline{->}(0,2.5)(4,2.5)\uput[u](2,2.5){$R$} \psline{<->}(5,-1)(5,1)\uput[r](5,0){$h$} -\uput[dr](!R h 2 div neg){1} -\uput[u](!R r add 2 div h 2 div){2} -\uput[dl](!r h 2 div neg){3} +\uput[dr](! Rad1 height 2 div neg){1} +\uput[u](! Rad1 rad2 add 2 div height 2 div){2} +\uput[dl](! rad2 height 2 div neg){3}\psset{linestyle=dashed} +\psline(2,-1)(2,1.5)\psline(4,-1)(4,2.5)\psline{->}(-4,0)(4.2,0) \end{pspicture} -\end{minipage} +\end{LTXexample} + + \begin{center} -%% -\psset{unit=0.5} +\psset{unit=0.5cm} +\def\SectionTriangulaire{ + R h 2 div neg % sommet 1 + R r add 2 div h 2 div % sommet 2 + r h 2 div neg } % sommet 3 \begin{pspicture}(-5,-6)(5,6) \psframe(-5,-4)(5,4) -\psset[pst-solides3d]{viewpoint=50 20 40 rtp2xyz,Decran=25,lightsrc=10 20 20} +\psset{viewpoint=50 20 40 rtp2xyz,Decran=25,lightsrc=10 20 20} \psSolid[object=anneau,section=\SectionTriangulaire,fillcolor=cyan,h=3,R=8,r=4,RotX=10]% \end{pspicture} -%% +\qquad \begin{pspicture}(-5,-6)(5,5) \psframe(-5,-4)(5,4) -\psset[pst-solides3d]{viewpoint=50 -20 -40 rtp2xyz,Decran=25,lightsrc=-10 -20 -20} +\psset{viewpoint=50 -20 -40 rtp2xyz,Decran=25,lightsrc=-10 -20 -20} \psSolid[object=anneau,section=\SectionTriangulaire,fillcolor=yellow,h=3,R=8,r=4,RotX=-90,RotZ=10]% \end{pspicture} \end{center} -%% \begin{verbatim} -%% \begin{pspicture}(-5,-6)(5,6) -%% \psframe(-5,-4)(5,4) -%% \psset[pst-solides3d]{viewpoint=50 20 40 rtp2xyz,% -%% Decran=25,lightsrc=10 20 20} -%% \psSolid[object=anneau,section=\SectionTriangulaire,% -%% fillcolor=cyan,h=3,R=8,r=4,RotX=10](0,0,0) -%% \end{pspicture} -%% %% -%% \begin{pspicture}(-5,-6)(5,5) -%% \psframe(-5,-4)(5,4) -%% \psset[pst-solides3d]{viewpoint=50 -20 -40 rtp2xyz,% -%% Decran=25,lightsrc=-10 -20 -20} -%% \psSolid[object=anneau,section=\SectionTriangulaire,% -%% fillcolor=yellow,h=3,R=8,r=4,RotX=-90,RotZ=10](0,0,0) -%% \end{pspicture} -%% \end{verbatim} -\begin{verbatim} -\psSolid[object=anneau,section=\SectionTriangulaire,% - fillcolor=cyan,h=3,R=8,r=4,RotX=10](0,0,0) -%% -\psSolid[object=anneau,section=\SectionTriangulaire,% - fillcolor=yellow,h=3,R=8,r=4,RotX=-90,RotZ=10](0,0,0) -\end{verbatim} -%%\newpage - -\newcommand\SectionPneu{ - /m {90 4 div} bind def - /Scos {m cos 2 m mul cos add 3 m mul cos add} bind def - /Z0 {h 4 div} bind def - /c {Z0 Scos div} bind def - /Z1 {Z0 c m cos mul add} bind def - /Z2 {Z1 c m 2 mul cos mul add} bind def - /R1 {R c m sin mul sub} bind def - /R2 {R1 c m 2 mul sin mul sub} bind def - /R3 {R2 c m 3 mul sin mul sub} bind def - R h 4 div neg % 1 - R h 4 div % 2 - R1 Z1 % 3 - R2 Z2 % 4 - R3 h 2 div % 5 - r h 2 div % 6 - r h 2 div neg % 7 - R3 h 2 div neg % 8 - R2 Z2 neg % 9 - R1 Z1 neg % 10 - } -\subsection {L'anneau à section ``pneu'' : anneau cylindrique à arêtes chanfreinées.} +\begin{lstlisting}[basicstyle=\footnotesize\ttfamily] +\psSolid[object=anneau,section=\SectionTriangulaire, + fillcolor=cyan,h=3,R=8,r=4,RotX=10](0,0,0) +\psSolid[object=anneau,section=\SectionTriangulaire, + fillcolor=yellow,h=3,R=8,r=4,RotX=-90,RotZ=10](0,0,0) +\end{lstlisting} + +\clearpage +\subsection[L'anneau à section ``pneu'']% + {L'anneau à section ``pneu'' : anneau cylindrique à arêtes chanfreinées.} + \begin{minipage}{0.45\linewidth} -{\small -\begin{verbatim} -\renewcommand\SectionPneu{ - /m {90 4 div} bind def - /Scos {m cos 2 m mul cos add 3 m mul cos add} bind def - /Z0 {h 4 div} bind def - /c {Z0 Scos div} bind def - /Z1 {Z0 c m cos mul add} bind def - /Z2 {Z1 c m 2 mul cos mul add} bind def - /R1 {R c m sin mul sub} bind def - /R2 {R1 c m 2 mul sin mul sub} bind def - /R3 {R2 c m 3 mul sin mul sub} bind def - R h 4 div neg % 1 - R h 4 div % 2 - R1 Z1 % 3 - R2 Z2 % 4 - R3 h 2 div % 5 - r h 2 div % 6 - r h 2 div neg % 7 - R3 h 2 div neg % 8 - R2 Z2 neg % 9 - R1 Z1 neg % 10 - } -\end{verbatim}} +\begin{lstlisting}[basicstyle=\footnotesize\ttfamily] +\def\SectionPneu{ + /MM { 90 4 div} bind def + /Scos {MM cos 2 MM mul cos add 3 MM mul cos add} bind def + /Z0 {h 4 div} bind def + /c {Z0 Scos div} bind def + /Z1 {Z0 c MM cos mul add} bind def + /Z2 {Z1 c MM 2 mul cos mul add} bind def + /R1 {R c MM sin mul sub} bind def + /R2 {R1 c MM 2 mul sin mul sub} bind def + /R3 {R2 c MM 3 mul sin mul sub} bind def + R h 4 div neg % 1 + R h 4 div % 2 + R1 Z1 % 3 + R2 Z2 % 4 + R3 h 2 div % 5 + r h 2 div % 6 + r h 2 div neg % 7 + R3 h 2 div neg % 8 + R2 Z2 neg % 9 + R1 Z1 neg % 10 +} +\end{lstlisting} \end{minipage} \hfill \begin{minipage}{0.45\linewidth} -%\psset{unit=0.65} +\psset{unit=0.7cm} \begin{pspicture}(-2,-3)(5,6) -%\psgrid -\pstVerb{/R 4 def /r 2 def /h 2 def}% -\pstVerb{/m {90 4 div} bind def - /Scos {m cos 2 m mul cos add 3 m mul cos add} bind def - /Z0 {h 4 div} bind def - /c {Z0 Scos div} bind def - /Z1 {Z0 c m cos mul add} bind def - /Z2 {Z1 c m 2 mul cos mul add} bind def - /R1 {R c m sin mul sub} bind def - /R2 {R1 c m 2 mul sin mul sub} bind def - /R3 {R2 c m 3 mul sin mul sub} bind def}% -\pnode(!R h 4 div neg){S1} -\pnode(!R h 4 div){S2} -\pnode(!R1 Z1){S3} -\pnode(!R2 Z2){S4} -\pnode(!R3 h 2 div){S5} -\pnode(!r h 2 div){S6} -\pnode(!r h 2 div neg){S7} -\pnode(!R3 h 2 div neg){S8} -\pnode(!R2 Z2 neg){S9} -\pnode(!R1 Z1 neg){S10} +\pstVerb{/Rad1 4 def /rad2 2 def /height 2 def + /MM {90 4 div} bind def + /Scos {MM cos 2 MM mul cos add 3 MM mul cos add} bind def + /Z0 {height 4 div} bind def + /c {Z0 Scos div} bind def + /Z1 {Z0 c MM cos mul add} bind def + /Z2 {Z1 c MM 2 mul cos mul add} bind def + /R1 {Rad1 c MM sin mul sub} bind def + /R2 {R1 c MM 2 mul sin mul sub} bind def + /R3 {R2 c MM 3 mul sin mul sub} bind def}% +\pnode(!Rad1 height 4 div neg){S1}\pnode(!Rad1 height 4 div){S2} +\pnode(!R1 Z1){S3} \pnode(!R2 Z2){S4} +\pnode(!R3 height 2 div){S5} \pnode(!rad2 height 2 div){S6} +\pnode(!rad2 height 2 div neg){S7}\pnode(!R3 height 2 div neg){S8} +\pnode(!R2 Z2 neg){S9} \pnode(!R1 Z1 neg){S10} \newcommand\pneuSection{\pspolygon[fillstyle=vlines,linewidth=2\pslinewidth]% (S1)(S2)(S3)(S4)(S5)(S6)(S7)(S8)(S9)(S10)} \rput(0,0){\pneuSection}\rput{180}{\pspolygon[fillstyle=vlines,linewidth=2\pslinewidth]% - (!R h 4 div neg)(!R h 4 div)(!R1 Z1)(!R2 Z2)(!R3 h 2 div)(!r h 2 div)(!r h 2 div neg)(!R3 h 2 div neg)(!R2 Z2 neg)(!R1 Z1 neg)} + (!Rad1 height 4 div neg)(!Rad1 height 4 div)(!R1 Z1)(!R2 Z2)% + (!R3 height 2 div)(!rad2 height 2 div)(!rad2 height 2 div neg)(!R3 height 2 div neg)(!R2 Z2 neg)(!R1 Z1 neg)} \psline(-3,1)(3,1)\psline(-3,-1)(3,-1) \psline[linestyle=dashed,dash=1 0.2 0.05 0.2]{->}(0,-3)(0,3) \uput[u](0,3){$z$}\uput[r](4.1,0){$y$}\uput[dl](0,0){$O$} -\psline[linestyle=dashed](2,-1)(2,1.5) -\psline[linestyle=dashed](4,-1)(4,2.5) -\psline[linestyle=dashed]{->}(-4,0)(4.2,0) -\psline{->}(0,1.5)(2,1.5)\uput[u](1,1.5){$r$} -\psline{->}(0,2.5)(4,2.5)\uput[u](2,2.5){$R$} -\psline{<->}(5,-1)(5,1)\uput[r](5,0){$h$} -\uput[r](S1){1} -\uput[r](S2){2} -\uput[u](S3){3} -\uput[u](S4){4} -\uput[u](S5){5} -\uput[ul](S6){6} -\uput[dl](S7){7} -\uput[dl](S8){8} -\uput[dr](S9){9} -\uput[r](S10){10} +\psline[linestyle=dashed](2,-1)(2,1.5)\psline[linestyle=dashed](4,-1)(4,2.5) +\psline[linestyle=dashed]{->}(-4,0)(4.2,0)\psline{->}(0,1.5)(2,1.5)\uput[u](1,1.5){$r$} +\psline{->}(0,2.5)(4,2.5)\uput[u](2,2.5){$R$}\psline{<->}(5,-1)(5,1)\uput[r](5,0){$h$} +\uput[r](S1){1}\uput[r](S2){2}\uput[u](S3){3}\uput[u](S4){4} +\uput[u](S5){5}\uput[ul](S6){6}\uput[dl](S7){7}\uput[dl](S8){8} +\uput[dr](S9){9}\uput[r](S10){10} \psdots[linecolor=red](S1)(S2)(S3)(S4)(S5)(S6)(S7)(S8)(S9)(S10) \end{pspicture} \end{minipage} -%\iffalse \begin{center} -\psset{unit=0.7} +\def\SectionPneu{ + /MM { 90 4 div } def + /Scos { MM cos 2 MM mul cos add 3 MM mul cos add } def + /Z0 { h 4 div } def + /c {Z0 Scos div} def + /Z1 { Z0 c MM cos mul add } def + /Z2 { Z1 c MM 2 mul cos mul add } def + /R1 { R c MM sin mul sub } def + /R2 { R1 c MM 2 mul sin mul sub } def + /R3 { R2 c MM 3 mul sin mul sub } def + R h 4 div neg % 1 + R h 4 div % 2 + R1 Z1 % 3 + R2 Z2 % 4 + R3 h 2 div % 5 + r h 2 div % 6 + r h 2 div neg % 7 + R3 h 2 div neg % 8 + R2 Z2 neg % 9 + R1 Z1 neg % 10 +} +\psset{unit=0.7cm} \begin{pspicture}(-5,-5)(5,4) \psframe(-5,-4)(5,4) -\psset[pst-solides3d]{viewpoint=50 20 40 rtp2xyz,Decran=25,lightsrc=10 20 20} +\psset{viewpoint=50 20 40 rtp2xyz,Decran=25,lightsrc=10 20 20} \psSolid[object=anneau,section=\SectionPneu,fillcolor=cyan,h=3,R=8,r=4,RotX=10]% \end{pspicture} -%% +\qquad \begin{pspicture}(-5,-5)(5,4) \psframe(-5,-4)(5,4) -\psset[pst-solides3d]{viewpoint=50 -20 -40 rtp2xyz,Decran=25,lightsrc=-10 -20 -20} +\psset{viewpoint=50 -20 -40 rtp2xyz,Decran=25,lightsrc=-10 -20 -20} \psSolid[object=anneau,section=\SectionPneu,fillcolor=yellow,h=3,R=8,r=4,RotX=-90,RotZ=10]% \end{pspicture} \end{center} -%% -\begin{gbar} -\begin{verbatim} -\psSolid[object=anneau,section=\SectionPneu,% - fillcolor=cyan,h=3,R=8,r=4,RotX=10](0,0,0) -\psSolid[object=anneau,section=\SectionPneu,% - fillcolor=yellow,h=3,R=8,r=4,RotX=-90,RotZ=10]% -\end{verbatim} -\end{gbar} -%\fi -\newpage - -\subsection{Bobine vide} - -\newcommand\SectionBobine{ - r h 2 div % 1 - r h 2 div neg % 2 - R h 2 div neg % 3 - R h 3 div neg % 4 - R h 4 div sub h 3 div neg % 5 - R h 4 div sub h 3 div % 6 - R h 3 div % 7 - R h 2 div % 8 - } -\begin{minipage}{0.45\linewidth} -\begin{verbatim} -\newcommand\SectionBobine{ - r h 2 div % 1 - r h 2 div neg % 2 - R h 2 div neg % 3 - R h 3 div neg % 4 - R h 4 div sub h 3 div neg % 5 - R h 4 div sub h 3 div % 6 - R h 3 div % 7 - R h 2 div % 8 - } -\end{verbatim} -\end{minipage} -\hfill -\begin{minipage}{0.45\linewidth} -\begin{pspicture}(-2,-2)(5,2) -\pstVerb{/RB 4 def /rB 2 def /hB 3 def}% -\pnode(!rB hB 2 div){S1} -\pnode(!rB hB 2 div neg){S2} -\pnode(!RB hB 2 div neg){S3} -\pnode(!RB hB 3 div neg){S4} -\pnode(!RB hB 4 div sub hB 3 div neg){S5} -\pnode(!RB hB 4 div sub hB 3 div){S6} -\pnode(!RB hB 3 div){S7} -\pnode(!RB hB 2 div){S8} -\newcommand\pneuSection{\pspolygon[fillstyle=vlines,linewidth=2\pslinewidth]% - (S1)(S2)(S3)(S4)(S5)(S6)(S7)(S8)} -\rput(0,0){\pneuSection}\rput{180}{\pspolygon[fillstyle=vlines,linewidth=2\pslinewidth]% - (!rB hB 2 div)(!rB hB 2 div neg)(!RB hB 2 div neg)(!RB hB 3 div neg)(!RB hB 4 div sub hB 3 div neg)(!RB hB 4 div sub hB 3 div)(!RB hB 3 div)(!RB hB 2 div)} -\psline(-3,1.5)(3,1.5)\psline(-3,-1.5)(3,-1.5) -\psline[linestyle=dashed,dash=1 0.2 0.05 0.2]{->}(0,-3)(0,3) -\uput[u](0,3){$z$}\uput[r](4.1,0){$y$}\uput[dl](0,0){$O$} -\psline[linestyle=dashed](2,-1)(2,1.5) -\psline[linestyle=dashed](4,-1)(4,2.5) -\psline[linestyle=dashed](-4,-1)(4,-1) -\psline[linestyle=dashed](-4,1)(4,1) -\psline[linestyle=dashed]{->}(-4,0)(4.2,0) -\psline{->}(0,1.8)(2,1.8)\uput[u](1,1.8){$r$} -\psline{->}(0,2.5)(4,2.5)\uput[u](2,2.5){$R$} -\psline{<->}(5,-1.5)(5,1.5)\uput[r](5,0){$h$} -\uput[u](S1){1} -\uput[d](S2){2} -\uput[d](S3){3} -\uput[r](S4){4} -\uput[ur](S5){5} -\uput[dr](S6){6} -\uput[r](S7){7} -\uput[r](S8){8} -\psdots[linecolor=red](S1)(S2)(S3)(S4)(S5)(S6)(S7)(S8) -\end{pspicture} -\end{minipage} -\begin{center} -\begin{pspicture}(-5,-6)(5,5) -\psframe*[linecolor=blue!50](-5,-5)(5,4) -\psset[pst-solides3d]{viewpoint=70 40 10 rtp2xyz,Decran=25,lightsrc=0 30 100} -\psSolid[object=grille,base=-15 15 -15 15,fillcolor=yellow!30!black!10](0,0,-8) -%\psSolid[object=prisme,h=2,base=-15 1 -15 -1 15 -1 15 1](0,0,-8) -\psSolid[object=anneau,section=\SectionBobine,fillcolor=gray!50,h=6,R=8,r=4,RotX=90,linecolor=gray]% -\end{pspicture} -\end{center} -\begin{gbar} + \begin{verbatim} -\psSolid[object=grille,base=-15 15 -15 15,fillcolor=yellow!30](0,0,-8) -\psSolid[object=anneau,section=\SectionBobine,% - fillcolor=gray!50,h=6,R=8,r=4,RotX=90,linecolor=gray]% +\psSolid[object=anneau,section=\SectionPneu,fillcolor=cyan,h=3,R=8,r=4,RotX=10](0,0,0) +\psSolid[object=anneau,section=\SectionPneu,fillcolor=yellow,h=3,R=8,r=4,RotX=-90,RotZ=10] \end{verbatim} -\end{gbar} - -\subsection{D'autres anneaux} -Trois autres exemples sont disponibles sur la page : -\centerline{\url{http://syracuse.eu.org/lab/bpst/pst-solides3d/anneaux}} +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-anneaux2.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-anneaux2.tex new file mode 100644 index 00000000000..08fef75dffc --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-anneaux2.tex @@ -0,0 +1,92 @@ +\subsection{Bobine vide} + + +\begin{minipage}{0.45\linewidth} +\begin{verbatim} +\newcommand\SectionBobine{ + r h 2 div % 1 + r h 2 div neg % 2 + R h 2 div neg % 3 + R h 3 div neg % 4 + R h 4 div sub h 3 div neg % 5 + R h 4 div sub h 3 div % 6 + R h 3 div % 7 + R h 2 div % 8 +} +\end{verbatim} +\end{minipage} +\hfill +\begin{minipage}{0.45\linewidth} +\begin{pspicture}(-2,-2)(5,2) +\pnode(!2 3 2 div){S1} +\pnode(!2 3 2 div neg){S2} +\pnode(!4 3 2 div neg){S3} +\pnode(!4 3 3 div neg){S4} +\pnode(!4 3 4 div sub 3 3 div neg){S5} +\pnode(!4 3 4 div sub 3 3 div){S6} +\pnode(!4 3 3 div){S7} +\pnode(!4 3 2 div){S8} +\def\pneuSection{\pspolygon[fillstyle=vlines,linewidth=2\pslinewidth]% + (S1)(S2)(S3)(S4)(S5)(S6)(S7)(S8)} +\rput(0,0){\pneuSection}\rput{180}{\pspolygon[fillstyle=vlines,linewidth=1.5pt]% + (!2 3 2 div)(!2 3 2 div neg)(!4 3 2 div neg) + (!4 3 3 div neg)(!4 3 4 div sub 3 3 div neg) + (!4 3 4 div sub 3 3 div)(!4 3 3 div)(!4 3 2 div)} +\psline(-3,1.5)(3,1.5)\psline(-3,-1.5)(3,-1.5) +\psline[linestyle=dashed,dash=1 0.2 0.05 0.2]{->}(0,-3)(0,3) +\uput[u](0,3){$z$}\uput[r](4.1,0){$y$}\uput[dl](0,0){$O$} +\psline[linestyle=dashed](2,-1)(2,1.5) +\psline[linestyle=dashed](4,-1)(4,2.5) +\psline[linestyle=dashed](-4,-1)(4,-1) +\psline[linestyle=dashed](-4,1)(4,1) +\psline[linestyle=dashed]{->}(-4,0)(4.2,0) +\psline{->}(0,1.8)(2,1.8)\uput[u](1,1.8){$r$} +\psline{->}(0,2.5)(4,2.5)\uput[u](2,2.5){$R$} +\psline{<->}(5,-1.5)(5,1.5)\uput[r](5,0){$h$} +\uput[u](S1){1} +\uput[d](S2){2} +\uput[d](S3){3} +\uput[r](S4){4} +\uput[ur](S5){5} +\uput[dr](S6){6} +\uput[r](S7){7} +\uput[r](S8){8} +\psdots[linecolor=red](S1)(S2)(S3)(S4)(S5)(S6)(S7)(S8) +\end{pspicture} +\end{minipage} + + +\begin{center} +\begin{pspicture}(-5,-6)(5,5) +\def\SectionBobine{ + r h 2 div % 1 + r h 2 div neg % 2 + R h 2 div neg % 3 + R h 3 div neg % 4 + R h 4 div sub h 3 div neg % 5 + R h 4 div sub h 3 div % 6 + R h 3 div % 7 + R h 2 div % 8 +} +\psframe*[linecolor=blue!50](-5,-5)(5,4) +\psset{viewpoint=70 40 10 rtp2xyz,Decran=25,lightsrc=0 30 100} +\psSolid[object=grille,base=-15 15 -15 15,fillcolor=yellow!30!black!10](0,0,-8) +%\psSolid[object=prisme,h=2,base=-15 1 -15 -1 15 -1 15 1](0,0,-8) +\psSolid[object=anneau,section=\SectionBobine,fillcolor=gray!50,h=6,R=8,r=4,RotX=90,linecolor=gray]% +\end{pspicture} +\end{center} + + +\begin{lstlisting}[basicstyle=\small\ttfamily] +\psSolid[object=grille,base=-15 15 -15 15,fillcolor=yellow!30](0,0,-8) +\psSolid[object=anneau,section=\SectionBobine,fillcolor=gray!50,h=6,R=8,r=4,RotX=90,linecolor=gray]% +\end{lstlisting} + + +\subsection{D'autres anneaux} +Trois autres exemples sont disponibles sur la page : + +\url{http://syracuse.eu.org/lab/bpst/pst-solides3d/anneaux} + + +\endinput
\ No newline at end of file diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-changements.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-changements.tex index a5816e40dcd..abf4aa66a41 100644 --- a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-changements.tex +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-changements.tex @@ -38,3 +38,4 @@ remplacent les commandes respectives \verb+rlineto+. \end {itemize} + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-cylindres-cones.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-cylindres-cones.tex index 03e82106bd1..b2339b1c3e7 100644 --- a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-cylindres-cones.tex +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-cylindres-cones.tex @@ -324,3 +324,5 @@ Maxime Chupin, suite à une question sur la liste de diffusion de \url{http://mel l'exemple suivant écrit par Maxime Chupin. \newline \centerline{\url{http://melusine.eu.org/lab/bpst/pst-solides3d/cone/cone-dir_02.pst}}} + +\endinput
\ No newline at end of file diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-eclairageponctuel.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-eclairageponctuel.tex index b8e4c23915d..192c1e3f638 100644 --- a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-eclairageponctuel.tex +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-eclairageponctuel.tex @@ -1,4 +1,4 @@ -\section {\' Eclairage par une source lumineuse ponctuelle} +\section[Source lumineuse ponctuelle]{\' Eclairage par une source lumineuse ponctuelle} Deux paramètres, l'un positionne la source, l'autre fixe l'intensité lumineuse : diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-ruban.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-ruban.tex index 401a378c005..d239035041e 100644 --- a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-ruban.tex +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-ruban.tex @@ -51,12 +51,12 @@ le sens trigonométrique par le paramètre \texttt{base} : \psset{lightsrc=10 30 10,viewpoint=50 50 20 rtp2xyz,Decran=50} \begin{pspicture}(-10,-6)(12,8) \psframe(-10,-6)(12,7) -\defFunction{F}(t){2 t 4 mul cos mul}{t 20 div}{} +\defFunction{funcF}(t){2 t 4 mul cos mul}{t 20 div}{} \psSolid[object=grille,base=-6 6 -10 10,action=draw,linecolor=gray](0,0,0) \psSolid[object=ruban,h=2,fillcolor=red!50, - resolution=72, - base=-200 200 {F} CourbeR2+, %% -200 5 200 {/Angle ED 2 Angle 4 mul cos mul Angle 20 div } for, - ngrid=4](0,0,0) + resolution=72, + base=-200 200 {funcF} CourbeR2+, %% -200 5 200 {/Angle ED 2 Angle 4 mul cos mul Angle 20 div } for, + ngrid=4](0,0,0) \axesIIID(5,10,0)(7,11,6) \end{pspicture} \end{center} @@ -66,11 +66,11 @@ le sens trigonométrique par le paramètre \texttt{base} : \psset{lightsrc=10 30 10,viewpoint=50 50 20 rtp2xyz,Decran=50} \begin{pspicture}(-10,-5)(12,7) \psframe(-10,-5)(12,7) -\defFunction{F}(t){2 t 4 mul cos mul}{t 20 div}{} +\defFunction{funcF}(t){2 t 4 mul cos mul}{t 20 div}{} \psSolid[object=grille,base=-6 6 -10 10,action=draw,linecolor=gray](0,0,0) \psSolid[object=ruban,h=2,fillcolor=red!50, resolution=72, - base=-200 200 {F} CourbeR2+, + base=-200 200 {funcF} CourbeR2+, ngrid=4](0,0,0) \axesIIID(5,10,0)(7,11,6) \end{pspicture} @@ -87,11 +87,11 @@ $90^{\mathrm{o}}$ autour de $Oy$. \psset{lightsrc=10 30 10,viewpoint=50 50 20 rtp2xyz,Decran=30} \begin{pspicture}(-14,-7)(8,5) \psframe(-14,-7)(8,5) -\defFunction{F}(t){t 4 mul cos}{t 20 div}{} +\defFunction{funcF}(t){t 4 mul cos}{t 20 div}{} \psSolid[object=grille,base=0 16 -10 10,action=draw,linecolor=gray](0,0,0) \psSolid[object=ruban,h=16,fillcolor=red!50,RotY=90,incolor=green!20, resolution=72, - base=-200 200 {F} CourbeR2+, + base=-200 200 {funcF} CourbeR2+, ngrid=16](0,0,1) \axesIIID(16,10,0)(20,12,6) \end{pspicture} @@ -100,11 +100,11 @@ $90^{\mathrm{o}}$ autour de $Oy$. \psset{unit=0.6} \psset{lightsrc=10 30 10,viewpoint=50 50 20 rtp2xyz,Decran=30} \begin{pspicture}(-14,-7)(8,7) -\defFunction{F}(t){t 4 mul cos}{t 20 div}{} +\defFunction{funcF}(t){t 4 mul cos}{t 20 div}{} \psSolid[object=grille,base=0 16 -10 10,action=draw,linecolor=gray](0,0,0) \psSolid[object=ruban,h=16,fillcolor=red!50,RotY=90,incolor=green!20, resolution=72, - base=-200 200 {F} CourbeR2+, + base=-200 200 {funcF} CourbeR2+, ngrid=16](0,0,1) \psframe(-14,-7)(8,7) \axesIIID(16,10,0)(20,12,6) @@ -139,11 +139,11 @@ sommets sont calculés par la commande \\\verb+\psPoint(x,y,z){P}+ \psPoint(\iB\space cos 3 mul,\iB\space sin 3 mul,0){p\i} }% \pspolygon[fillstyle=solid,fillcolor=blue!50](P0)(p0)(P1)(p1)(P2)(p2)(P3)(p3)(P4)(p4)(P5)(p5) -\defFunction{F}(t){t cos 5 mul}{t sin 5 mul}{} -\defFunction{G}(t){t 36 add cos 3 mul}{t 36 add sin 3 mul}{} +\defFunction{funcF}(t){t cos 5 mul}{t sin 5 mul}{} +\defFunction{funcG}(t){t 36 add cos 3 mul}{t 36 add sin 3 mul}{} \psSolid[object=grille,base=-6 6 -6 6,action=draw,linecolor=gray](0,0,0) \psSolid[object=ruban,h=1,fillcolor=red!50, - base=0 72 360 {/Angle exch def Angle F Angle G} for, + base=0 72 360 {/Angle exch def Angle funcF Angle funcG} for, num=0 1 2 3, show=0 1 2 3, ngrid=2](0,0,0) @@ -159,11 +159,11 @@ sommets sont calculés par la commande \\\verb+\psPoint(x,y,z){P}+ }% \pspolygon[fillstyle=solid,fillcolor=blue!50] (P0)(p0)(P1)(p1)(P2)(p2)(P3)(p3)(P4)(p4)(P5)(p5) -\defFunction{F}(t){t cos 5 mul}{t sin 5 mul}{} -\defFunction{G}(t){t 36 add cos 3 mul}{t 36 add sin 3 mul}{} +\defFunction{funcF}(t){t cos 5 mul}{t sin 5 mul}{} +\defFunction{funcG}(t){t 36 add cos 3 mul}{t 36 add sin 3 mul}{} \psSolid[object=grille,base=-6 6 -6 6,action=draw,linecolor=gray](0,0,0) \psSolid[object=ruban,h=1,fillcolor=red!50, - base=0 72 360 {/Angle exch def Angle F Angle G} for, + base=0 72 360 {/Angle exch def Angle funcF Angle funcG} for, num=0 1 2 3, show=0 1 2 3, ngrid=2](0,0,0) \axesIIID(5,5,0)(6,6,6) \end{pspicture} @@ -179,34 +179,37 @@ Le fond du récipient est défini par l'objet \texttt{face} avec l'option \psset{lightsrc=10 0 10,viewpoint=50 -20 20 rtp2xyz,Decran=50} \begin{pspicture}(-9,-4)(9,7) \psframe(-9,-4)(9,7) -\defFunction{F}(t){t cos 5 mul}{t sin 5 mul}{} -\defFunction{G}(t){t 36 add cos 3 mul}{t 36 add sin 3 mul}{} +\defFunction{funcF}(t){t cos 5 mul}{t sin 5 mul}{} +\defFunction{funcG}(t){t 36 add cos 3 mul}{t 36 add sin 3 mul}{} \psSolid[object=face,fillcolor=blue!50, biface, - base=0 72 360 {/Angle exch def Angle F Angle G} for, + base=0 72 360 {/Angle exch def Angle funcF Angle funcG} for, ](0,0,0) \psSolid[object=grille,base=-6 6 -6 6,action=draw,linecolor=gray](0,0,0) \psSolid[object=ruban,h=1,fillcolor=red!50, - base=0 72 360 {/Angle exch def Angle F Angle G} for, + base=0 72 360 {/Angle exch def Angle funcF Angle funcG} for, ngrid=2](0,0,0) \axesIIID(5,5,0)(6,6,6) \end{pspicture} \end{center} + \begin{verbatim} \psset{lightsrc=10 0 10,viewpoint=50 -20 20 rtp2xyz,Decran=50} \begin{pspicture}(-9,-4)(9,7) \psframe(-9,-4)(9,7) -\defFunction{F}(t){t cos 5 mul}{t sin 5 mul}{} -\defFunction{G}(t){t 36 add cos 3 mul}{t 36 add sin 3 mul}{} +\defFunction{funcF}(t){t cos 5 mul}{t sin 5 mul}{} +\defFunction{funcG}(t){t 36 add cos 3 mul}{t 36 add sin 3 mul}{} \psSolid[object=face,fillcolor=blue!50, biface, - base=0 72 360 {/Angle exch def Angle F Angle G} for, + base=0 72 360 {/Angle exch def Angle funcF Angle funcG} for, ](0,0,0) \psSolid[object=grille,base=-6 6 -6 6,action=draw,linecolor=gray](0,0,0) \psSolid[object=ruban,h=1,fillcolor=red!50, - base=0 72 360 {/Angle exch def Angle F Angle G} for, + base=0 72 360 {/Angle exch def Angle funcF Angle funcG} for, ngrid=2](0,0,0) \axesIIID(5,5,0)(6,6,6) \end{pspicture} \end{verbatim} + +\endinput diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-solidespredefinis.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-solidespredefinis.tex index 18ae342e8e4..abdf49fedd6 100644 --- a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-solidespredefinis.tex +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-solidespredefinis.tex @@ -1,4 +1,4 @@ -\section {Les principaux solides prédéfinis et leurs paramètres} +\section[Paramètres]{Les principaux solides prédéfinis et leurs paramètres} La commande de base est~:~ \Cadre{\textbackslash psSolid[object=\textsl{nom}]$(x, y ,z)$} qui permet diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc.bib b/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc.bib index 70b71bd6661..2daba5851fb 100644 --- a/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc.bib +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc.bib @@ -42,7 +42,7 @@ author = {Michel Goosens and Frank Mittelbach and Sebastian Rahtz and Denis Roegel and Herbert Vo{\ss}}, title = {The {\LaTeX} {G}raphics {C}ompanion}, publisher = {{Addison-Wesley Publishing Company}}, - edition = second, + edition = {second}, year = {2007}, address = {Reading, Mass.} } diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc.pdf b/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc.pdf Binary files differindex c2f4490d3dc..84b67037add 100644 --- a/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc.pdf +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc.pdf diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc.tex index 6a7e51cc00e..b14aa1737f4 100644 --- a/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc.tex +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc.tex @@ -1,4 +1,4 @@ -\documentclass{book} +\documentclass[twoside]{book} \usepackage[dvipsnames,svgnames]{pstricks} \usepackage{pst-plot,pst-eucl} \usepackage{pstricks-add,pst-solides3d} @@ -7,8 +7,9 @@ \usepackage[latin1]{inputenc} \usepackage[T1]{fontenc} \usepackage{manfnt} +\usepackage{lmodern} \usepackage[garamond]{mathdesign} -\renewcommand{\ttdefault}{lmtt} +%\renewcommand{\ttdefault}{lmtt} \usepackage{colortbl} \usepackage{multicol} \usepackage{longtable} @@ -25,75 +26,11 @@ \listfiles \DeclareFixedFont{\timesnormal}{T1}{ptm}{m}{n}{2cm} \raggedbottom -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% de nouvelles flèches de Christophe FOUREY -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\makeatletter -% http://tug.org/mailman/htdig/pstricks/2007/004294.html -% v : Vee arrow (inside) -% V : Vee arrow (outside) -% f : Filled vee arrow (inside) -% F : Filled vee arrow (outside) -\edef\pst@arrowtable{\pst@arrowtable,v-v,V-V,f-f,F-F} - -% Vee arrow -\def\psset@veearrowlength#1{\pst@getlength{#1}\psk@veearrowlength} -\psset@veearrowlength{3mm} % default projected length -\def\psset@veearrowangle#1{\pst@getangle{#1}\psk@veearrowangle} -\psset@veearrowangle{30} % default angle -\def\psset@veearrowlinewidth#1{\pst@getlength{#1}\psk@veearrowlinewidth} -\psset@veearrowlinewidth{.35mm} % default vee arrow line width - -% Filled vee arrow -\def\psset@filledveearrowlength#1{\pst@getlength{#1} -\psk@filledveearrowlength} -\psset@filledveearrowlength{3mm} % default projected length -\def\psset@filledveearrowangle#1{\pst@getangle{#1} -\psk@filledveearrowangle} -\psset@filledveearrowangle{15} % default angle -\def\psset@filledveearrowlinewidth#1{\pst@getlength{#1} -\psk@filledveearrowlinewidth} -\psset@filledveearrowlinewidth{.35mm} % default vee arrow line width - -\pst@def{VeeArrow}<% - 1 setlinecap % round caps - 1 setlinejoin % round join - setlinewidth % vee arrow line width - /y ED % projected length - 2 div /a ED % angle (divide by 2) - /t ED % false = inside, true = outside - a sin a cos div y mul /x ED % perpendicular length : x=tan(a).y - t { 1 -1 scale } if % if outside : symmetry - x neg y moveto % point #1 - 0 0 L % point #2 - x y L % point #3 - {closepath gsave fill grestore} if % if filled : close and fill - stroke % draw line - 0 t {y 2 mul} {0} ifelse moveto> % if outside : twice longer line - -% VeeArrow : filled? outside? (total) angle (projected) length (arrow) line width - -\@namedef{psas@v}{% - false false \psk@veearrowangle \psk@veearrowlength -\psk@veearrowlinewidth \tx@VeeArrow} - -\@namedef{psas@V}{% - false true \psk@veearrowangle \psk@veearrowlength -\psk@veearrowlinewidth \tx@VeeArrow} - -\@namedef{psas@f}{% - true false \psk@filledveearrowangle \psk@filledveearrowlength -\psk@filledveearrowlinewidth \tx@VeeArrow} - -\@namedef{psas@F}{% - true true \psk@filledveearrowangle \psk@filledveearrowlength -\psk@filledveearrowlinewidth \tx@VeeArrow} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% adapté de \psRandom du package pstricks-add %% pour rendre aléatoire la taille des étoiles %% Manuel Luque \newdimen\pssizeStar +\makeatletter \def\psset@sizeStar#1{\pssetlength\pssizeStar{#1}} \psset@sizeStar{1pt} \def\psRandomStar{\pst@object{psRandomStar}}% @@ -198,10 +135,6 @@ Apricot&Aquamarine% \psPoint(x_E,y_E,z_E){#4}} -\def \datapath {% -% ../doc/} -} - \title{\texttt{pst-solides3d} :\\ guide de l'utilisateur \\[0.5cm] @@ -218,132 +151,144 @@ Apricot&Aquamarine% Jürgen \textsc{Gilg}\url{<gilg@acrotex.net>}, Jean-Michel \textsc{Sarlat}\url{<jm.sarlat@gmail.com>}, Herbert \textsc{Voss}\url{<Herbert.Voss@FU-Berlin.DE>}.}} -\date{15 juillet 2\,008} +\date{\today} + +\def\datapath{}%../doc/} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Herbert %%%%%%%%%%%%%%%%%%%%%%%%%% +\usepackage{fancyhdr} +\pagestyle{fancy} +\fancyfoot{}% delete all +\fancyfoot[LE,RO]{\thepage} +\newcommand\Input[2][\datapath]{\fancyfoot[RE,LO]{{\footnotesize#2}}% + \begingroup\input{#1#2}\endgroup\par} +% doesnt work with underscores in filename + \begin{document} \maketitle - -%\input[tore-damier} -%\input{methane} -%\input{anneaux} -%\vfill -%\input{S2O3} -%\input \datapath init3d -%\vfill -%\newpage \tableofcontents \newpage %\end {document} -\input \datapath par-constitution -\input \datapath par-preambule -\input \datapath par-presentation -\input \datapath par-changements - +\Input{par-constitution} +\Input{par-preambule} +\Input{par-presentation} +\Input{par-changements} \chapter{Commandes de bases} -\input \datapath par-choixpointdevue -\input \datapath par-axes3D +\Input{par-choixpointdevue} +\Input{par-axes3D} \newpage -\input \datapath par-solidespredefinis -\input \datapath par-positionnersolide +\Input{par-solidespredefinis} +\Input{par-positionnersolide} \chapter{Les options de \textbackslash{}psSolid} -\input \datapath par-commandestrace -\input \datapath par-solidescreux -\input \datapath par-numeroterfacettes -\input \datapath par-enleverfacettes -\input \datapath par-pointagesommets - -\input \datapath par-couleurs -\input \datapath par-colorierfacettes -\input \datapath par-opacity -\input \datapath par-definitionmaillage -\input \datapath par-modes - -\input \datapath par-eclairageponctuel -\input \datapath par-tronque -\input \datapath par-affinage -\input \datapath par-chanfrein -\input \datapath par-transform -\input \datapath par-lignedeniveau +\Input{par-commandestrace} +\Input{par-solidescreux} +\Input{par-numeroterfacettes} +\Input{par-enleverfacettes} +\Input{par-pointagesommets} + +\Input{par-couleurs} +\Input{par-colorierfacettes} +\Input{par-opacity} +\Input{par-definitionmaillage} +\Input{par-modes} + +\Input{par-eclairageponctuel} +\Input{par-tronque} +\Input{par-affinage} +\Input{par-chanfrein} +\Input{par-transform} +\Input{par-lignedeniveau} \chapter{Utilisation de fichiers externes} -\input \datapath par-datfile -%\input \datapath par-offfile -%\input \datapath par-objfile +\Input{par-datfile} +%\Input{par-offfile +%\Input{par-objfile \chapter{Quelques objets spécifiques} -%\input \datapath par-grille -\input \datapath par-plan -\input \datapath par-vecteur -\input \datapath par-point -\input \datapath par-geode +%\Input{par-grille +\Input{par-plan} +\Input{par-vecteur} +\Input{par-point} +\Input{par-geode} \chapter{Fabriquer de nouveaux solides} -\input \datapath par-codejps -\input \datapath par-definirfonction - -\input \datapath par-courbeR3 -\input \datapath par-tube -\input \datapath par-prisme -\input \datapath par-new -\input \datapath par-face -\input \datapath par-ruban +\Input{par-codejps} +\Input{par-definirfonction} + +\Input{par-courbeR3} +\Input{par-tube} +\Input{par-prisme} +\Input{par-new} +\Input{par-face} +\Input{par-ruban} %\newpage -\input \datapath par-anneaux -\input \datapath par-cylindres-cones -\input \datapath par-surfacesparametrees +\Input{par-anneaux}% Problem with the \Input macro and par-anneaux here +%\fancyfoot[RE,LO]{{\footnotesize par-anneaux}}\input{\datapath par-anneaux} +%\fancyfoot[RE,LO]{} +\clearpage +\Input{par-anneaux2}% Problem with the \Input macro and par-anneaux here + + +\Input{par-cylindres-cones} + + +\Input{par-surfacesparametrees} -\chapter{Surfaces définies par une fonction $z=f(x,y)$} -\input \datapath par-surfaces +\chapter{Surfaces définies par une fonction} +\Input{par-surfaces} \chapter{Utilisation avancée} -\input \datapath par-nommersolide -\input \datapath par-section -\input \datapath par-fusion -\input \datapath par-fusionjps +\Input{par-nommersolide} +\Input{par-section} +\Input{par-fusion} +\Input{par-fusionjps} \chapter{Interaction avec PSTricks} -\input \datapath par-positionnerpointconnu -\input \datapath par-ligne3D -\input \datapath par-tracerpolygone -\input \datapath par-transformpointconnu -\input \datapath par-annoterschema -%%\input \datapath par-composervue +\Input{par-positionnerpointconnu} +\Input{par-ligne3D} +\Input{par-tracerpolygone} +\Input{par-transformpointconnu} +\Input{par-annoterschema} +%%\Input{par-composervue} \chapter{Projections} -\input \datapath par-projpresentation -\input \datapath par-projectionvisibility -\input \datapath par-definirplanquelconque -\input \datapath par-projectionpoint -\input \datapath par-projectionvecteur -\input \datapath par-projectiondroite +\Input{par-projpresentation} +\Input{par-projectionvisibility} +\Input{par-definirplanquelconque} +\Input{par-projectionpoint} +\Input{par-projectionvecteur} +\Input{par-projectiondroite} \newpage -\input \datapath par-projectioncercle -\input \datapath par-projectionpolygone -\input \datapath par-projectionligne +\Input{par-projectioncercle} +\Input{par-projectionpolygone} +\Input{par-projectionligne} \newpage -\input \datapath par-projectionangledroit -%% \input \datapath par-definirfacesolideproj %% destroy -\input \datapath par-projectioncourbe -%% \input \datapath par-projectionchemin -\input \datapath par-projectiontexte +\Input{par-projectionangledroit} +%% \Input{par-definirfacesolideproj} %% destroy +\Input{par-projectioncourbe} +%% \Input{par-projectionchemin} +\Input{par-projectiontexte} +\appendix \chapter{Annexe} -\input \datapath par-parametres +\Input{par-parametres} \nocite{*} \bgroup +\fancyfoot{} \RaggedRight \bibliographystyle{plain} \bibliography{pst-solides3d-doc} |