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diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/source/par-anneaux-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/source/par-anneaux-en.tex deleted file mode 100644 index 8a12bc143a6..00000000000 --- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/source/par-anneaux-en.tex +++ /dev/null @@ -1,397 +0,0 @@ - -\section{Solid rings} - -This paragraph discusses the cylindric \Index{rings}. Within the macro -\Lcs{psSolid}, this object is passed with the option: -\texttt{\Lkeyword{object}=\Lkeyval{anneau}}, that comes with 3 parameters: -\begin{itemize} - \item the inner radius \texttt{\Lkeyword{r}=1.5} (value by default); - \item the outer radius \texttt{\Lkeyword{R}=4} (value by default); - \item the height \texttt{\Lkeyword{h}=6} (value by default). -\end{itemize} - -The argument \Lkeyword{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 \Lcs{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 \Lcs{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 \Lcs{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 \Lkeyword{section} of \Lcs{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 2: 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 |