Thomas Söll propose 2 nouvelles macros pour pst-eucl

Pour le package pst-eucl de Dominique Rodriguez, Thomas Söll propose la possibilité d'afficher la distance entre 2 points ainsi que le marquage et la valeur d'un angle déterminé par 3 points. Le calcul est effectué par l'interpréteur postscript ainsi que l'affichage du résultat. Ce sont les macros :
\psSpaceV
\psAngleMark
Cette dernière ajoute donc l'option d'affichage de la valeur de l'angle à celles de la macro de pst-eucl : \pstMarkAngle.

Le listing ci-dessous à compiler : LaTeX->dvips->ps2pdf

\documentclass[border=10pt]{standalone}
\usepackage[distiller]{pstricks}
\usepackage{pst-eucl,pstricks-add}

\SpecialCoor%
\makeatletter
\pst@addfams{pst-eucl}
\define@key[psset]{pst-eucl}{DecimalN}{\def\psk@DecimalN{#1}}%
% Linecolor
\define@key[psset]{pst-eucl}{ArcColor}{\def\psk@ArcColor{#1}}%
% fillcolor for wedge
\define@key[psset]{pst-eucl}{WedgeColor}{\def\psk@WedgeColor{#1}}%
% fillcolor for wedge
\define@key[psset]{pst-eucl}{WedgeOpacity}{\def\psk@WedgeOpacity{#1}}%
% x Labelsep
\define@key[psset]{pst-eucl}{xLabelSep}{\def\psk@xLabelSep{#1}}%
% y Labelsep
\define@key[psset]{pst-eucl}{yLabelSep}{\def\psk@yLabelSep{#1}}%
% Fontsize Values
\define@key[psset]{pst-eucl}{FontSizeV}{\def\psk@FontSizeV{#1}}%
%----------------------------------------------------------------------
\define@boolkey[psset]{pst-eucl}[Pst@]{AngleValue}[false]{} % show angle value
\define@boolkey[psset]{pst-eucl}[Pst@]{AngleArc}[true]{} % show angle arcShowWedge
\define@boolkey[psset]{pst-eucl}[Pst@]{ShowWedge}[true]{} % show wedge
%---------------------------------------------------------------------
%   Default Parameter
\psset[pst-eucl]{%
DecimalN=2,ArcColor=black,WedgeColor=blue,WedgeOpacity=0.2,AngleValue=false,AngleArc=true,xLabelSep=0,yLabelSep=0,FontSizeV=8,ShowWedge=true
}
%------------- Distance of 2 points -----------------------
%---------------------------------------------------------------------
\def\psSpaceV{\pst@object{pstpsSpaceV}}%
\def\pstpsSpaceV@i(#1)(#2)#3#4{%
\begingroup%
\pst@killglue
\use@par
\pst@getcoor{#1}\pst@tempA
\pst@getcoor{#2}\pst@tempB
\pnode(! %
/Helvetica findfont \psk@FontSizeV\space scalefont setfont
/laenge {10 #4 exp mul round 10 #4 exp div 15 string cvs stringwidth } def
/Wert {10 #4 exp mul round 10 #4 exp div 15 string cvs dot2comma show } def
\pst@tempA \tx@UserCoor /y1 ED /x1 ED
\pst@tempB \tx@UserCoor /y2 ED /x2 ED
\pst@tempA /y3 ED /x3 ED
\pst@tempB /y4 ED /x4 ED
x3 x4 sub y3 y4 sub Pyth laenge /dx ED
x3 x4 add 2 div dx 2 div sub \psk@xLabelSep\space add y3 y4 add 2 div \psk@yLabelSep\space add
moveto %
x1 x2 sub y1 y2 sub Pyth Wert
x1 x2 add 2 div y1 y2 add 2 div){#3}
\endgroup
\ignorespaces
}
%--------------------------------------------------------------------
%------------- angle mark and calculate the value -----------
%---------------------------------------------------------------------
\def\psAngleMark{\@ifnextchar[\Pst@AngleMark{\Pst@AngleMark[]}}%
\def\Pst@AngleMark[#1](#2)(#3)(#4)#5{%
\def\pst@par{#1}%
\begingroup%
\pst@killglue
\use@par
\pst@getcoor{#2}\pst@tempA
\pst@getcoor{#3}\pst@tempB
\pst@getcoor{#4}\pst@tempC
\pst@Verb{%
\pst@tempA \tx@UserCoor /y1 ED /x1 ED
\pst@tempB \tx@UserCoor /y2 ED /x2 ED
\pst@tempC \tx@UserCoor /y3 ED /x3 ED
y1 y2 sub x1 x2 sub Atan neg /delta1 ED
y3 y2 sub x3 x2 sub Atan neg /delta2 ED
delta1 delta2 le {180 delta2 delta1 add 2 div neg add /WiM ED} {delta2 delta1 add 2 div neg /WiM ED} ifelse
}
\ifPst@ShowWedge
\pswedge[fillstyle=solid,fillcolor=\psk@WedgeColor,opacity=\psk@WedgeOpacity](#3){\psk@MarkAngleRadius}{! delta1}{! delta2}%
\else \fi
\ifPst@AngleArc
\psarc[linecolor=\psk@ArcColor](#3){\psk@MarkAngleRadius}{! delta1}{! delta2}%
\else \fi
%
\pnode(! %
/dec \psk@DecimalN\space def
/Helvetica findfont \psk@FontSizeV\space scalefont setfont
/s1 { /Symbol findfont \psk@FontSizeV\space scalefont setfont } bind def
/laenge {10 dec exp mul round 10 dec exp div 15 string cvs stringwidth } def
/WertZeigen {10 dec exp mul round 10 dec exp div 15 string cvs dot2comma show s1 (\string\260) show} def
\pst@tempA \tx@UserCoor /y1 ED /x1 ED
\pst@tempB \tx@UserCoor /y2 ED /x2 ED
\pst@tempC \tx@UserCoor /y3 ED /x3 ED
y1 y2 sub x1 x2 sub Atan neg /delta1 ED
y3 y2 sub x3 x2 sub Atan neg /delta2 ED
delta1 delta2 le {360 delta2 delta1 sub abs sub /WiWert ED} {delta2 delta1 sub abs /WiWert ED} ifelse
delta1 delta2 le {180 delta2 delta1 add 2 div neg add /WiM ED} {delta2 delta1 add 2 div neg /WiM ED} ifelse
\psk@MarkAngleRadius\space delta2 delta1 add 2 div PtoC \pst@tempB exch pop add /ym1 ED \pst@tempB pop add /xm1 ED
xm1 \psk@MarkAngleRadius\space WiM cos mul \pst@number\psxunit mul add \psk@xLabelSep\space add ym1 \psk@MarkAngleRadius\space WiM sin mul \pst@number\psxunit mul add \psk@yLabelSep\space add moveto %
\ifPst@AngleValue
WiWert WertZeigen
\else \fi
x2 0.8 WiM cos mul add y2 0.8 WiM sin mul add){#3-M}
\uput{\psk@LabelSep}[! WiM]{0}(#3){#5}
\endgroup
\ignorespaces
}
\makeatother

\begin{document}

\begin{pspicture}(-12,-8)(1,1)
\psgrid[gridlabels=0pt,subgriddiv=2,gridwidth=0.4pt,subgridwidth=0.2pt,gridcolor=black!60,subgridcolor=black!40]
\def\seitec{6}
\def\seitea{7}
\def\seiteb{8}
\psset{PointSymbol=none,linejoin=1,linewidth=0.4pt,PtNameMath=false,labelsep=0.07,MarkAngleRadius=1.1,DecimalN=1}
    \pstGeonode[PosAngle={90,90}](0,0){A}(6;190){B}
%    \pstGeonode[PosAngle={225,-75}](0,0){A}(\seitec;10){B}
    \psset{PointName=}
    \pstInterCC[RadiusA=\pstDistVal{\seiteb},RadiusB=\pstDistVal{\seitea},PosAngle=-90,PointNameA=C]{A}{}{B}{}{C}{C-}
    \pstInterCC[RadiusA=\pstDistAB{A}{B},RadiusB=\pstDistAB{B}{C}]{C}{}{A}{}{D-}{D}
    \pstInterLC[Radius=\pstDistAB{A}{C}]{C}{D}{C}{}{A'-}{A'}
    \pstInterCC[RadiusA=\pstDistAB{A}{B},RadiusB=\pstDistAB{B}{C}]{A'}{}{C}{}{B'}{B'-}
    \pstInterLL[PosAngle=90,PointName=default]{B'}{C}{A}{B}{E}
    \pspolygon(A)(B)(C)
    \pspolygon[fillstyle=solid,fillcolor=magenta,opacity=0.1](C)(E)(B)

\psAngleMark[ArcColor=blue,WedgeColor=blue!20,AngleValue=true,LabelSep=0.7,arrows=->](B)(A)(C){}
\psAngleMark[AngleValue=true,ArcColor=red,arrows=->,WedgeOpacity=0.6,WedgeColor=yellow,LabelSep=0.5](C)(B)(A){$\beta$}
\psAngleMark[LabelSep=0.7,WedgeColor=green,xLabelSep=-6,yLabelSep=-10](A)(C)(B){$\gamma$}
\psAngleMark[LabelSep=0.7,AngleArc=false,WedgeColor=green,arrows=->,xLabelSep=-15,yLabelSep=0](C)(E)(B){\color{green}$\gamma$}
\psAngleMark[AngleValue=true,MarkAngleRadius=1.0,LabelSep=0.5,ShowWedge=false,xLabelSep=-5,yLabelSep=7,arrows=->](E)(B)(C){}

\pcline[linestyle=none](A)(B)\nbput{\seitec}
\pcline[linestyle=none](C)(B)\naput{\seitea}
\psSpaceV[xLabelSep=-8,yLabelSep=4](B)(E){MW}{2}
\psSpaceV[FontSizeV=15,xLabelSep=-20](A)(C){MAC}{1}
\psSpaceV[xLabelSep=-17](E)(C){MEC}{1}
\end{pspicture}
\end{document}