diff options
Diffstat (limited to 'Master/texmf-dist/doc/generic/pst-solides3d/doc-src/par-projectioncourbe-en.tex')
-rw-r--r-- | Master/texmf-dist/doc/generic/pst-solides3d/doc-src/par-projectioncourbe-en.tex | 114 |
1 files changed, 114 insertions, 0 deletions
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-src/par-projectioncourbe-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-src/par-projectioncourbe-en.tex new file mode 100644 index 00000000000..93234f94e7e --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-src/par-projectioncourbe-en.tex @@ -0,0 +1,114 @@ +\section{Curves of real-valued and \Index{parameterised functions}} + +\subsection{Curve of a real-valued function} + +The object \Lkeyword{courbe} allows us to draw a curve, where the +name is given with the option \Lkeyword{function}. This \Index{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 \Lkeyword{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{\Lkeyword{range}=$xmin$ $xmax$}, and the option \texttt{argument=$n$} +defines the number of points to be plotted when drawing the \Index{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{\Index{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 \Lcs{psProjection} is now \Lkeyword{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: \Index{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 |