blob: 22dc1b0c06a948c94ab90cf2822c1e2712658400 (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
|
%% $Id: pst-electricfield.pro 479 2011-03-26 10:12:49Z 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 0.05 / 2011-03-26 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
arrowscale
-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
%
|
