blob: 72980006e21ff1ae691c8be912f7cda91234e307 (
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
|
%% $Id: pst-bezier.pro 323 2016-08-20 17:57:28Z herbert $
%% PostScript prologue for pst-bezier.tex.
%%
%% Version 0.02, 2016/08/19
%%
%% For distribution, see pst-bezier.tex.
%%
%%
tx@Dict begin
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Auxiliary routines:
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%% [x1 y1] [x2 y2] -> [ x1+y1 x2+y2 ]
/AddArrays2d {
[ 3 1 roll %% Get the operands
2 copy
0 get exch
0 get add %% first component finished
%% second component:
3 1 roll
1 get exch
1 get add ]} bind def
%% [x1 y1] [x2 y2] -> [ x1-x2 y1-y2 ]
/SubArrays2d {
[ 3 1 roll exch
2 copy
0 get exch 0 get sub
3 1 roll
1 get exch
1 get sub ] } bind def
%% [x y] s -> [s*x s*y]
/ScaleArray2d {
[ 3 1 roll exch
2 copy
0 get mul
3 1 roll
1 get mul
] } bind def
%
%% << [Array of Bezier splines] /K 1 >> -> empty stack
%% Thereby, a Bezier spline is described by an array:
%% [x0 y0 x1 y1 x2 y2 x3 y3 sl sr]
%% (x0,y0) is the right control point
/pstBCurve {
begin %% LaTeX provides the dictionary (see above comments)
1 1 Splines length 1 sub {
/K exch def % K is the index of the spline.
%%
%% First control point:
Splines K get 0 get dup %% switch the cases /n and /s...
/n eq { %% `not specified' -> automatically computed
Splines K get 0 %% l(k) is going to be set...
%% | -> p(k-1)+(p(k)-p(k-2))*sl(k)
Splines K get 4 2 getinterval
Splines K 2 sub get 4 2 getinterval
SubArrays2d
Splines K get 6 get ScaleArray2d
Splines K 1 sub get 4 2 getinterval
AddArrays2d
putinterval %% ...setting l(k)
} if
/s eq { %% `symmetric' -> compute from r(k-1)
Splines K get 0 %% l(k):=
%% | -> 2*p(k-1)-r(k-1)
Splines K 1 sub get 4 2 getinterval 2 ScaleArray2d
Splines K 1 sub get 2 2 getinterval SubArrays2d
putinterval %%
} if
%% Second control point:
Splines K get 2 get dup %% (cases /n and /s)
/n eq { %% `not specified' -> automatically computed
Splines K get 2
%% | -> p(k)+(p(k+1)-p(k-1))*sr(k)
Splines K 1 sub get 4 2 getinterval
Splines K 1 add get 4 2 getinterval
SubArrays2d
Splines K get 7 get ScaleArray2d
Splines K get 4 2 getinterval
AddArrays2d
putinterval
} if
/s eq { %% `symmetric' -> compute from l(k+1)
Splines K get 2
%% | -> 2*p(k)-l(k+1)
Splines K get 4 2 getinterval 2 ScaleArray2d
Splines K 1 add get 0 2 getinterval SubArrays2d
putinterval
} if
} for %% all splines.
%%
%% The current point is already correctly set by the LaTeX macro.
%% So get ride of the 0th dummy spline.
Splines 1 Splines length 1 sub getinterval {%
aload pop pop pop %% get ride of the array itself and the scaling factor.
curveto% now the actual spline is on the stack...
} forall %% splines.
/Points [ %% now save the points for the showpoints-feature.
Splines 0 get 4 2 getinterval aload pop
Splines 1 Splines length 1 sub getinterval { aload pop pop pop } forall
]
end def %% Put points in the top dictionary
} bind def
%
/tx@RQBCmasse {
/P0P1{
xP0 xP1 add
yP0 yP1 add
} def
/P0P2{
xP0 xP2 add
yP0 yP2 add
} def
/P1P2{
xP2 xP1 add
yP2 yP1 add
} def
/B0 { 1 t sub dup mul } def
/B1 {2 t mul 1 t sub mul }def
/B2 { t dup mul }def
%
% w0 abs 1e-6 gt {1}{0} ifelse /choixw0 exch def
% w1 abs 1e-6 gt {1}{0} ifelse /choixw1 exch def
% w2 abs 1e-6 gt {1}{0} ifelse /choixw2 exch def
% /choix choixw2 4 mul choixw1 2 mul add choixw0 add def
choix 1 eq {
/den { w0 B0 mul }def %
/RQBCmasse1 {
0 1 nB {/t exch nB div def
den 0 ne {
w0 B0 mul xP0 mul B1 xP1 mul add B2 xP2 mul add den div
w0 B0 mul yP0 mul B1 yP1 mul add B2 yP2 mul add den div
} if
} for
} def
/RQBCmasse2 {} def
} if % fin choix 1
choix 2 eq {
/den {w1 B1 mul } def %
/RQBCmasse1 {
1 1 nB {/t exch nB div def
den 0 ne {% B0*P0+w1*B1*P1+B2*P2
B0 xP0 mul w1 B1 mul xP1 mul add B2 xP2 mul add den div
B0 yP0 mul w1 B1 mul yP1 mul add B2 yP2 mul add den div
} if
} for
} def
/RQBCmasse2 {} def
} if % fin choix 2
choix 3 eq {
/den { w0 B0 mul w1 B1 mul add } def % w0*B0+w1*B1
/RQBCmasse1 {
0 1 nB {/t exch nB div def
den 1e-6 gt { % w0*B0*P0+w1*B1*P1+B2*P2
w0 B0 mul xP0 mul w1 B1 mul xP1 mul add B2 xP2 mul add den div
w0 B0 mul yP0 mul w1 B1 mul yP1 mul add B2 yP2 mul add den div
} if
} for
} def
/RQBCmasse2 {
0 1 nB {/t exch nB div def
den -1e-6 lt { % w0*B0*P0+w1*B1*P1+B2*P2
w0 B0 mul xP0 mul w1 B1 mul xP1 mul add B2 xP2 mul add den div
w0 B0 mul yP0 mul w1 B1 mul yP1 mul add B2 yP2 mul add den div
} if
} for
} def
} if % fin choix 3
choix 4 eq {
/den { w2 B2 mul } def % w2*B2
/RQBCmasse1 {
0 1 nB {/t exch nB div def
den 0 ne { % B0*P0+B1*P1+w2*B2*P2
B0 xP0 mul B1 xP1 mul add w2 B2 mul xP2 mul add den div
B0 yP0 mul B1 yP1 mul add w2 B2 mul yP2 mul add den div
} if
} for
} def
/RQBCmasse2 {} def
} if % fin choix 4
choix 5 eq {
/den {w0 B0 mul w2 B2 mul add} def % w0*B0+w2*B2
/RQBCmasse1 {
1 1 nB {/t exch nB div def
den 0 ne { % w0*B0*P0+B1*P1+w2*B2*P2
w0 B0 mul xP0 mul B1 xP1 mul add w2 B2 mul xP2 mul add den div
w0 B0 mul yP0 mul B1 yP1 mul add w2 B2 mul yP2 mul add den div
} if
} for
} def
/RQBCmasse2 {} def
} if % fin choix 5
choix 6 eq {
/den { w1 B1 mul w2 B2 mul add } def % w1*B1+w2*B2
/RQBCmasse1 {
0 1 nB {/t exch nB div def
den 1e-6 gt { % B0*P0+w1*B1*P1+w2*B2*P2
B0 xP0 mul w1 B1 mul xP1 mul add w2 B2 mul xP2 mul add den div
B0 yP0 mul w1 B1 mul yP1 mul add w2 B2 mul yP2 mul add den div
} if
} for
} def
/RQBCmasse2 {
0 1 nB {/t exch nB div def
den -1e-6 lt { % B0*P0+w1*B1*P1+w2*B2*P2
B0 xP0 mul w1 B1 mul xP1 mul add w2 B2 mul xP2 mul add den div
B0 yP0 mul w1 B1 mul yP1 mul add w2 B2 mul yP2 mul add den div
} if
} for
} def
} if % fin choix 6
choix 7 eq {
/den { w0 B0 mul w1 B1 mul add w2 B2 mul add } def
% tableau de pointslist[(w0-w1+sqrt(-w0*w2+w1^2))/(w0-2*w1+w2),(w0-w1-sqrt(-w0*w2+w1^2))/(w0-2*w1+w2)]
/RQBCmasse1 {
0 1 nB {/t exch nB div def
den 1e-6 gt { % w0*B0*P0+w1*B1*P1+w2*B2*P2
w0 B0 mul xP0 mul B1 w1 mul xP1 mul add w2 B2 mul xP2 mul add den div % xP
w0 B0 mul yP0 mul B1 w1 mul yP1 mul add w2 B2 mul yP2 mul add den div % yP
} if
} for
} def
/RQBCmasse2 {
0 1 nB {/t exch nB div def
den -1e-6 lt {
w0 B0 mul xP0 mul B1 w1 mul xP1 mul add w2 B2 mul xP2 mul add den div % xP
w0 B0 mul yP0 mul B1 w1 mul yP1 mul add w2 B2 mul yP2 mul add den div % yP
} if
} for
} def
} if % fin du choix 7
} def
%
end %% tx@Dict
|
