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+%% $Id: pst-3dplot.pro 236 2009-12-31 08:59:43Z herbert $
+%%
+%% This is file `pst-electricfield.pro',
+%%
+%% IMPORTANT NOTICE:
+%%
+%% Package `pst-electricfield.tex'
+%% Jürgen Gilg
+%% Manuel Luque
+%% Patrice Megrét
+%% Herbert Voss
+%%
+%% This program can be redistributed and/or modified under the terms
+%% of the LaTeX Project Public License Distributed from CTAN archives
+%% in directory macros/latex/base/lppl.txt.
+%%
+%% DESCRIPTION:
+%% `pst-electricfield' is a PSTricks package to draw fields of charges
+%%
+%% version 0.04 / 2010-06-08 Herbert Voss <hvoss _at_ tug.org>
+%%
+%
+/tx@EFieldDict 60 dict def
+tx@EFieldDict begin
+%
+% helper functions
+/getX { xCoor exch get } def
+/getY { yCoor exch get } def
+/getQ { Qcharges exch get } def
+% /getR { Radius exch get } def
+%
+/setValues {
+ /xCoor [
+ 0 1 NoQ {
+ /i exch def
+ /qi QXYN i get def
+ qi 1 get} for
+ ] def
+ /yCoor [
+ 0 1 NoQ {
+ /i exch def
+ /qi QXYN i get def
+ qi 2 get} for
+ ] def
+} def
+/Radius {xP i getX sub yP i getY sub Pyth} def
+%
+/fleche {
+ gsave
+ x2 y2 moveto
+ y2 y1 sub x2 x1 sub atan rotate % 1 1 scale
+ -1 CLW mul 2 CLW mul rlineto
+ 7 CLW mul -2 CLW mul rlineto
+ -7 CLW mul -2 CLW mul rlineto
+ closepath
+ fill
+ grestore
+} def
+%
+%% syntaxe : any isbool --> booleen
+/isbool { type (booleantype) cvn eq } def
+%% syntaxe : any isinteger --> booleen
+/isinteger { type (integertype) cvn eq } def
+%
+/drawChargeCircle { % qi x y r on the stack
+ 0 360 arc
+ gsave
+ 0 ge {1}{0} ifelse setgray fill
+ grestore
+ 0 setgray stroke
+} def
+%
+/Electricfield {
+ % extraction des donnees = qi, xi, yi, Ni, plotCharge
+ /NoQ QXYN length 1 sub def % nombre de charges -1
+ /NL [ % les lignes
+ 0 1 NoQ {
+ /i exch def
+ /qi QXYN i get def
+ qi length 3 eq
+ { /nL N def }
+ { qi 3 get dup isinteger
+ { /nL ED }
+ { pop /nL N def } ifelse } ifelse
+ nL } for
+ ] def
+ /plotCharge [ % les lignes
+ 0 1 NoQ {
+ /i exch def
+ /qi QXYN i get def
+ qi length 3 eq
+ { /pC true def }
+ { qi length 4 eq
+ { qi 3 get dup isbool
+ { /pC ED }
+ { pop /pC true def } ifelse }
+ { qi 4 get /pC ED } ifelse } ifelse
+ pC } for
+ ] def
+ /Qcharges [ % les charges
+ 0 1 NoQ {
+ /i exch def
+ /qi QXYN i get def
+ qi 0 get} for
+ ] def
+ setValues
+ 0 0 moveto
+ /Lignes [ % on stroke dans un tableau toutes lignes
+ 0 1 NoQ {
+ /iQ ED % on considere chacune des charges
+ /dAngle 360 NL iQ get 1 sub div def
+ /pasX iQ getQ 0 ge {Pas} {Pas neg} ifelse def
+ /xStart iQ getX def
+ /yStart iQ getY def
+ [
+ 0 dAngle 360 dAngle sub {
+ /iA ED % on en fait le tour
+ /xP xStart pasX iA cos mul add def
+ /yP yStart pasX iA sin mul add def
+ [ NbrePoints { % nombre de points
+ 0 0
+ 0 1 NoQ {
+ /i ED
+ i getQ xP i getX sub mul Radius 3 exp Div add exch
+ i getQ yP i getY sub mul Radius 3 exp Div add exch
+ } for
+ /Ex ED
+ /Ey ED
+ /NormeE Ex Ey Pyth def
+ /dX Ex NormeE div pasX mul def
+ /dY Ey NormeE div pasX mul def
+ /xP xP dX add def /yP yP dY add def
+ [ xP xUnit mul yP yUnit mul ]
+ } repeat
+ ]
+ } for
+ ]
+ } for
+ ] def
+% on lit les tableaux et on dessine les lignes
+ 0 1 Lignes length 1 sub {
+ /iQ ED % chaque charge
+ /qi iQ getQ def
+ /Lignes_Champ Lignes iQ get def
+ 0 1 Lignes_Champ length 1 sub {
+ /iLi ED
+ /Ligne_Champ Lignes_Champ iLi get def % une ligne
+ Ligne_Champ 0 get aload pop moveto % xP yP
+ 1 1 Ligne_Champ length 1 sub {
+ /iCompteur exch def
+ Ligne_Champ iCompteur get aload pop lineto
+ } for
+ stroke
+ % les fleches
+ Ligne_Champ dup length 1 sub posArrow mul cvi get aload pop
+ /y1 ED
+ /x1 ED
+ Ligne_Champ dup length 1 sub posArrow mul cvi 1 add get aload pop
+ /y2 ED
+ /x2 ED
+ /X1 x2 def
+ /X2 x1 def
+ /Y1 y2 def
+ /Y2 y1 def
+ qi 0 le { /x1 X1 def /x2 X2 def /y1 Y1 def /y2 Y2 def} if
+ fleche
+ } for
+ } for
+ 0 1 NoQ {
+ /i exch def
+ Qcharges i get dup /qi ED
+ xCoor i get xUnit mul
+ yCoor i get yUnit mul % now on stack: qi x y
+ plotCharge i get % relative or absolute radii?
+ { ChargeRadius qi abs mul drawChargeCircle }
+ { ChargeRadius 0 gt
+ { ChargeRadius drawChargeCircle }
+ { pop pop pop } ifelse } ifelse
+ } for
+} def % Electricfield
+%
+%
+/Equipotential {
+% extraction des donnees = qi, xi, yi,
+ /NoQ QXYN length 1 sub def % nombre de charges -1
+ /Qcharges [ % les charges
+ 0 1 NoQ {
+ /i exch def
+ /qi QXYN i get def
+ qi 0 get} for
+ ] def
+ setValues
+ /Func {
+ 0
+ 0 1 NoQ {/i exch def
+ /qi QXYN i get def
+ qi 0 get
+ Radius div add } for
+ 9 mul % V en volts q en nC
+ V sub
+ } def
+ % code extrait de pst-func
+ /xPixel xMax xMin sub xUnit mul round cvi def
+ /yPixel yMax yMin sub yUnit mul round cvi def
+ /dx xMax xMin sub xPixel div def
+ /dy yMax yMin sub yPixel div def
+ /setpixel {
+ dy div exch
+ dx div exch
+ LW 2 div 0 360 arc fill
+ } bind def
+%
+ Vmin StepV Vmax {
+ /V ED
+ /VZ true def % suppose that F(x,y)>=0
+ /xP xMin def
+ /yP yMin def
+ Func 0.0 lt { /VZ false def } if % first value
+ xMin dx StepFactor mul xMax {
+ /xP exch def
+ yMin dy StepFactor mul yMax {
+ /yP exch def
+ Func 0 lt
+ { VZ { xP yP setpixel /VZ false def} if }
+ { VZ {}{ xP yP setpixel /VZ true def } ifelse } ifelse
+ } for
+ } for
+%
+ /xP xMin def /y yMin def Func 0.0 lt { /VZ false def } if % erster Wert
+ yMin dy StepFactor mul yMax {
+ /yP exch def
+ xMin dx StepFactor mul xMax {
+ /xP exch def
+ Func 0 lt
+ { VZ { xP yP setpixel /VZ false def} if }
+ { VZ {}{ xP yP setpixel /VZ true def } ifelse } ifelse
+ } for
+ } for
+ } for
+} def % Equipotential
+%
+end % tx@EFieldDict
+% \ No newline at end of file