summaryrefslogtreecommitdiff
path: root/Master/texmf-dist/dvips/pstricks/pstricks.pro
blob: 823fa1e8e7a64e3c268e6bb7e12378ded0740a25 (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
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
% $Id: pstricks.pro 1055 2019-05-16 11:59:06Z herbert $
%
%% PostScript prologue for pstricks.tex.
%% Version 1.34, 2021/03/30
%%
%% 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.
%
%
% Define the follwing gs-functions if not known, eg when using distiller
%

revision 952 gt 
{
    systemdict /.setopacityalpha known not 
      { 
         (\n\n%%%% WARNING: Transparency operations ignored - need to use -dALLOWPSTRANSPARENCY\n\n) print flush
         /.setopacityalpha { pop } bind def 
         /.setshapealpha { pop } bind def 
      }
      {
        /.setopacityalpha /.setfillconstantalpha load def 
        /.setblendmode { pop } def 
        /.setshapealpha {dup .setfillconstantalpha .setstrokeconstantalpha true .setalphaisshape } def  
      } ifelse
}
{
  systemdict /.setopacityalpha known not 
  { 
    (\n\n%%%% WARNING: Transparency operations ignored - need to use -dNOSAFER\n\n) print flush
    /.setopacityalpha { pop } bind def 
    /.setshapealpha { pop } bind def 
  } if
} ifelse

%%<bool> .setalphaisshape -
%%    If true, the values set by setstrokeconstantalpha and setfillconstantalpha are interpreted as shape values. The initial value of the AIS flag is false. 

%
/tx@Dict 200 dict def 				% the main PSTricks dictionary
tx@Dict begin
/ADict 25 dict def				% The arrow dictionary
/CM { matrix currentmatrix } bind def
/SLW /setlinewidth load def
/CLW /currentlinewidth load def
/CP /currentpoint load def
/ED { exch def } bind def
/L /lineto load def
/T /translate load def
/TMatrix { } def
/RAngle { 0 } def
/Sqrt { dup 0 lt { pop 0 } { sqrt } ifelse } def  % return 0 for negative arguments 
/Atan { /atan load stopped { pop pop 0 } if } def % return 0 if atan not known
/ATAN1 {neg -1 atan 180 sub } def		% atan(x) (only one parameter)
/Div { dup 0 eq { pop } { div } ifelse } def  	% control the division
/Log { dup 1e-20 lt { pop -1e30 }{ log } ifelse } def % control the log
/tan { dup cos abs 1.e-10 lt 
  { pop 1.e10 } 				% return 1.e10 as infinit
  { dup sin exch cos div } ifelse 		% default sin/cos
} def
/Tan { dup sin exch cos Div } def 		% sin(x)/cos(x) x in degrees
/Acos {dup dup mul neg 1 add dup 0 lt {		% arc cos, returns 0 when negative root
  pop pop 0 }{ sqrt exch atan} ifelse } def
/Acos2 { 2 dict begin 
  /x ED /y ED
  y abs 1.0e-20 lt { 1.0e30 } if
  x y div 
  dup dup mul neg 1 add dup 0 lt {		% arc cos needs two values x,y
  pop pop 0 }{ sqrt exch atan} ifelse 
  y 0 lt { 180 add } if
} def
/Power { %  a^b   latest ghostscript don't allow -4^-3.1
  2 dict begin	% hold all local
  /b ED
  /a ED
  a 0 lt % prevent something like (-4)^(-3.1)=> 1/(-4)^3
    { b 0 lt 
      { a b cvi exp }
      { a b exp } ifelse 
    }
    { a 0 eq { 0 }{ a b exp } ifelse
    } ifelse
  end
} def
%
/NET { neg exch neg exch T } def	      	% change coordinate system to the negative one		
/Pyth { dup mul exch dup mul add sqrt } def   	% Pythagoras, expects 2 parameter
/addCoors { 
  3 -1 roll 		% xA xB yB yA
  add			% xA xB yB+yA
  3 1 roll 		% yB+yA xA xB
  add			% yB+yA xA+xB
  exch                  % xA+xB yA+yB
} def
/Pyth2 {					% Pythagoras, xA yA xB yB
  3 -1 roll 		% xA xB yB yA
  sub			% xA xB yB-yA
  3 1 roll 		% yB-yA xA xB
  sub			% yB-yA xA-xB
  Pyth } def
/PtoC { 2 copy cos mul 3 1 roll sin mul } def % Polar to Cartesian (original)
/PtoCrel { pst@angleunit PtoC } def % Polar to Cartesian with \degrees[??]
/PtoCab { dup cos 4 -1 roll mul 3 1 roll sin mul } def % Polar to Cartesian (Ellipse) a b phi-> x y 
/AnytoDeg { pst@angleunit } def 
/DegtoAny { 1 pst@angleunit div} def
/AnytoRad { AnytoDeg DegtoRad } def 
/RadtoAny { RadtoDeg DegtoAny } def
%
%/Rand { rand 4294967295 div } def		% a real random number
/Rand { rand 2147483447 div } def		% a real random number between 0 and 1
%----------------- hv added 20050516 ---------------
/PiDiv2 1.57079632680 def
/Pi 3.14159265359 def 
/TwoPi 6.28318530718 def
/Euler 2.71828182846 def 
%/e Euler bind def
%
/RadtoDeg { 180 mul Pi div } bind def 		% convert from radian to degrees
/DegtoRad { Pi mul 180 div } bind def 		% viceversa
%
/startGlobal { true setglobal globaldict begin } bind def
/endGlobal { end false setglobal } bind def
/pssetRGBcolor /setrgbcolor load def
/pssetCMYKcolor /setcmykcolor load def
/pssetGraycolor /setgray load def
%
%----------------- hv end---------------------------
/PathLength@ { /z z y y1 sub x x1 sub Pyth add def /y1 y def /x1 x def } def
%
/PathLength { 
  flattenpath /z 0 def 
  { /y1 ED /x1 ED /y2 y1 def /x2 x1 def }
  { /y ED /x ED PathLength@ } 
  {} 
  { /y y2 def /x x2 def PathLength@ }
  /pathforall load stopped { pop pop pop pop } if 
  z 
} def
%
/STP { .996264 dup scale } def			% BP/PT scaling
/STV { SDict begin normalscale end STP  } def	% 
%
/DashLine {
    dup 0 gt
    { /a .5 def PathLength exch div }
    { pop /a 1 def PathLength } ifelse
    /b ED % pattern should fit evenly in b
    dup /X ED % pattern array
    0 get /y ED % length of first black segment
    /z 0 X {add} forall def % length of the full pattern
    %% Computation of the scaling factor as described by van Zandt:
    b a .5 sub 2 mul y mul sub z Div round
    z mul a .5 sub 2 mul y mul add b exch Div
    %%%% scaling factor on stack.
    /z ED %% now, z is the scaling factor
    false % for the length test below
    X { z mul } forall X astore %% modification TN 04-08-07
    %%% Checking whether at least one dash in X has positive length:
    {0 gt or} forall
    { X 1 a sub y mul }
    { [ 1 0 ] 0 }
    ifelse
    setdash stroke
} def
%
/DotLine { 
  /b PathLength def 
  /a ED /z ED /y CLW def 
  /z y z add def 
  a 0 gt { 
    /b b a div def 
  }{ 
    a 0 eq { 
      /b b y sub def 
    }{ a -3 eq { 
      /b b y add def } if 
    } ifelse 
  } ifelse 
  [ 0 b b z Div round Div dup 0 le { pop 1 } if ] 
  a 0 gt { 0 }{ y 2 div a -2 gt { neg }if } ifelse 
  setdash 1 setlinecap stroke 
} def
%
/SymbolLine {   % on stack [ x y x y ...
  counttomark 					% number of elements
  2 div cvi /n ED     				% n pairs
  /YA ED /XA ED					% the start point
  n 1 sub { 
    /YB ED /XB ED
    /XLength XB XA sub def
    /YLength YB YA sub def
    /PAngle YLength XLength Atan def
    /XYLength XLength YLength Pyth def
    %% for negative SymStep we calculate the distance 
    SymStep 0 lt 
      { %XYLength SymStep div abs cvi 
        /nSym SymStep abs cvi def } 
      { /nSym XYLength SymStep div cvi def }
    ifelse
    0.5 setflat
    /Shift Symbol stringwidth pop 2 div def 
    /deltaX XLength nSym div def
    /deltaY YLength nSym div def
    curveticks 
      { XA YA moveto }
      { XA Shift sub YA Shift sub moveto }
    ifelse 
    nSym { 
      gsave 
      curveticks 
        { PAngle 180 sub CorrAngle sub tickAngle add /rotAngle ED  
          currentpoint translate rotAngle rotate 
          0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto 
          SymbolLinewidth setlinewidth stroke
        }
        { 
          rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if
          Symbol show 
        }
      ifelse 
      grestore 
      deltaX deltaY rmoveto
    } repeat
    /YA YB def /XA XB def
  } repeat 
  curveticks 
    { XA YA moveto }
    { XA Shift sub YA Shift sub moveto }
  ifelse 
  gsave 
  curveticks 
    { PAngle 180 sub CorrAngle sub tickAngle add /rotAngle ED  
      XA YA translate rotAngle rotate 
      0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto 
      SymbolLinewidth setlinewidth stroke
    }
    { 
      rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if
      Symbol show 
    }
  ifelse 
  grestore
  pop 				% delete the mark symbol
} def
%
/LineFill { % hv ------------ patch 7 -------------
  gsave 
  abs /hatchWidthInc ED
  abs /hatchSepInc ED
  abs CLW add /a ED 
  a 0 dtransform round exch round exch
  2 copy idtransform 
  exch Atan rotate 
  idtransform pop /a ED 
  .25 .25 itransform pathbbox 
  /y2 ED 
  a Div ceiling cvi /x2 ED /y1 ED 
  a Div cvi /x1 ED /y2 y2 y1 sub def 
  clipType   % must be defined in pstricks.tex: clip -- eoclip 
  newpath 
  2 setlinecap 
  systemdict
  /setstrokeadjust known { true setstrokeadjust } if 
  x2 x1 sub 1 add { 
    x1 a mul y1 moveto 0 y2 rlineto stroke 
    /x1 x1 1 add 
      hatchWidthInc 0 gt { CLW add } if 
    def 
    hatchSepInc 0 gt hatchWidthInc 0 gt or { 
      /a a hatchSepInc add def
      CLW hatchWidthInc add SLW 
    } if
  } repeat 
  grestore 
  pop pop } def
%
/DotFill {%	 on stack: dot radius
  /dotRadius ED
  abs CLW add /a ED 
  a 0 dtransform round exch round exch
  2 copy idtransform 
  exch Atan rotate 
  idtransform pop /a ED 
  .25 .25 itransform 
  pathbbox % llx lly urx ury of smallest bounding box
  /y2 ED /x2 ED /y1 ED /x1 ED 
  y2 y1 sub a div 2 add cvi /Ny ED
  x2 x1 sub a div 2 add cvi /Nx ED
  clipType   % must be defined in pstricks.tex: clip -- eoclip 
  newpath 
  /yA y1 dotRadius add CLW add def
  /xA0 x1 dotRadius add CLW add def
  Ny {
     /xA xA0 def
     Nx { 
       newpath 
       xA yA dotRadius 0 360 arc 
       SolidDot { gsave fill grestore } if 
       stroke
       xA a add /xA ED
     } repeat
     yA a add /yA ED
  } repeat
  grestore
} def
%
/PenroseFill {%	 on stack: scaling factor
  /Scale ED
%  1 exch div round /penroseFactor ED 
%  a 0 dtransform round exch round exch
%  2 copy idtransform 
%  exch Atan rotate 
%  idtransform pop /a ED 
%  .25 .25 itransform pathbbox 
%  /y2 ED 
%  a Div ceiling cvi /x2 ED /y1 ED 
%  a Div cvi /x1 ED /y2 y2 y1 sub def 
  clip 
  newpath 
gsave
  220 150 translate
  Scale dup scale
  systemdict /setstrokeadjust known { true setstrokeadjust } if 
  /I/S/L/W/G/+/Z/F/E/D[/def/exch/for{E D}/add{s E get mul}
 { Z -36.2001 1 33 }{25 E S rlineto}{/q Z dup q G E q 1 + G}{Z 2 2}]{cvx def}forall
  [0 72 1008 {dup sin E cos }F ]1 setlinejoin/s W{/a W{/b I 10{/i I 4{/m I moveto
  i m +/j I 10{/l Z b m l + G a l G sub s m get div .2 + floor .3 + 25
  mul j l + S rmoveto}F i L j L stroke }F}F}F}F 
  grestore 
%  pop pop 
} def
%
/PenroseFillA {%  on stack: scaling factor, border color, kite color, dart color
  /Scale ED
  Scale dup scale
  /border_colour ED 
  /kite_colour ED 
  /dart_colour ED
  clip 
  newpath 
  gsave
  100 100 translate
  6 
  Scale 1 lt { 1 Scale dup add div mul cvi } if %%%%   Number of iterations
  10					%%%%   Long side length in millimeters
  /border_width { L 0.06 mul }def		%%%%   Choose the scalefactor for the borders
  /L exch 25.4 div 72 mul def		%%%%   Conversion: mm -> inches -> points
  /f{-1 5 sqrt add 2 div}bind def		%%%%   The reciprocal of the golden ratio
  /l{L f mul}bind def			%%%%   Short side length l = L*f
  /Ll{L l add}bind def			%%%%   Ll =  L + l
  /c{36 cos L mul}bind def		%%%%   c  =  L*cos(36)
  /s{36 sin L mul}bind def		%%%%   s  =  L*sin(36)
  /draw_tile { 0 0 moveto c s lineto 0 lineto gsave closepath gsave fill grestore
	     0 setlinewidth stroke grestore border_colour stroke } bind def
  /half_kite { dup dup 0 gt{ 1 sub gsave f f neg scale -36 rotate half_dart
			   Ll 0 translate 144 rotate kite grestore }
	      		 { kite_colour L draw_tile }ifelse
	     pop } bind def
  /half_dart { dup dup 0 gt{ 1 sub gsave f f scale half_kite
			   -144 rotate Ll neg 0 translate half_dart grestore }
	      		 { dart_colour l draw_tile }ifelse
  	     pop } bind def
  /kite{ gsave half_kite 1 -1 scale half_kite grestore }bind def
  border_width setlinewidth  1 setlinejoin  1 setlinecap
%  450 0 translate  
  dup f exch neg exp dup scale
  5 {kite 72 rotate } repeat stroke 
  grestore
} def
%
%
/TruchetFill { %	 on stack: scaling factor
  10 dict begin
  dup dup scale
  1 exch div round /penroseFactor ED 
  a 0 dtransform round exch round exch
  2 copy idtransform 
  exch Atan rotate 
  idtransform pop /a ED 
  .25 .25 itransform pathbbox 
  /y2 ED 
  a Div ceiling cvi /x2 ED /y1 ED 
  a Div cvi /x1 ED /y2 y2 y1 sub def 
  clip 
  newpath 
  systemdict
  /setstrokeadjust known { true setstrokeadjust } if 
  /ma a neg def
  /ha a 2 div def 
  /mha ha neg def
  /tile { 
    rand dup 2 idiv 2 mul eq { 90 rotate } if
    mha mha moveto ha mha lineto
    ha ha lineto mha ha lineto
%    closepath .1 setlinewidth stroke
    contents
  } def
  /contents{ 
    0 ha moveto ha 0 lineto
    0 mha moveto mha 0 lineto
%    1 setlinewidth stroke
  } def
  /dotiling {
    f ma mul a f a mul { 
      /i exch def
      f ma mul a f a mul { 
        /j exch def
        gsave i j translate
        tile stroke grestore
      } for
    } for
  } def
%
  /f 3 def 
  5 srand dotiling 
  end % local user dict
} def
%
/BeginArrow { 
  ADict begin 			% hold it local, for end see EndArrow
  /@mtrx CM def 
  gsave 
  2 copy T 
  2 index sub neg exch 
  3 index sub exch Atan 
  rotate newpath 
} def
%
/EndArrow { @mtrx setmatrix CP grestore end } def % end the ADict
%
/Arrow { 
  CLW mul add dup 
  2 div /w ED 
  mul dup /h ED 
  mul /a ED 
  { 0 h T 1 -1 scale } if 
  w neg h moveto 
  0 0 L w h L w neg a neg rlineto 
  gsave fill grestore 
} def
%
/ArrowD { % the sides are drawn as curves (hv 20071211)
  CLW mul add dup 
  2 div /w ED 
  mul dup /h ED 
  mul /Inset ED 
  { 0 h T 1 -1 scale } if % changes the direction
% we use y=w/h^2 * x^2 as equation for the control points
% for the coordinates the arrow is seen from top to bottom
% the bottom (tip) is (0;0)
  w neg h moveto % lower left of >
  w 9 div 4 mul neg h 3 div 2 mul
  w 9 div neg       h 3 div  
  0 0 curveto    % tip of >
  w 9 div        h 3 div  
  w 9 div 4 mul  h 3 div 2 mul
  w h curveto % upper left of >
  w neg Inset neg rlineto % move to x=0 and inset
  gsave fill grestore 
} def 
%
/Tbar { 
  CLW mul add /z ED 
  z -2 div CLW 2 div moveto 
  z 0 rlineto stroke 
  0 CLW moveto 
} def
%
/Bracket { 
  CLW mul add dup CLW sub 2 div 
  /x ED mul CLW add /y ED /z CLW 2 div def 
  x neg y moveto 
  x neg CLW 2 div L x CLW 2 div L x y L stroke 
  0 CLW moveto 
} def
%
/RoundBracket { 
  CLW mul add dup 2 div 
  /x ED mul /y ED /mtrx CM def 
  0 CLW 2 div T x y mul 0 ne { x y scale } if 
  1 1 moveto 
  .85 .5 .35 0 0 0 curveto 
  -.35 0 -.85 .5 -1 1 curveto 
  mtrx setmatrix stroke 0 CLW moveto 
} def
%
/SD { 0 360 arc fill } def
%
/EndDot { % DS is the dot size 
  { /z DS def } { /z 0 def } ifelse  	% outer or inner dimen 
  /b ED 				% the color definition
  0 z DS SD 
  b { 0 z DS CLW sub SD } if 
  0 DS z add CLW 4 div sub 
  moveto 
} def
%
/Shadow { [ { /moveto load } { /lineto load } { /curveto load } {
  /closepath load } /pathforall load stopped { pop pop pop pop CP /moveto
  load } if ] cvx newpath 3 1 roll T exec } def
%
/NArray { % holds the coordinates and on top of stack the showpoints boolean
  /showpoints ED 
  counttomark 2 div dup cvi /n ED  	% n 2 div on stack 
  n eq not { exch pop } if		% even numbers of points? delete one
  ] aload /Points ED 
  showpoints not { Points aload pop } if
%    { ] aload /Points ED } 
%    { n 2 mul 1 add -1 roll pop } ifelse	% delete the mark symbol 
} def
%
/Line { 
  NArray n 0 eq not 
    { n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub def 
      n { Lineto } repeat 
      CP 4 2 roll ArrowB L pop pop 
    } if 
} def
%
/LineToYAxis {
  /Ox ED		% Save the x origin value 
  NArray            % all x-y pairs on stack
  n { 2 copy moveto % go to current point
    Ox exch Lineto   % line to y-axis
    pop             % delete old x-value
  } repeat
} def
%
/LineToXAxis{
  /Oy ED		% Save the y origin value 
  NArray		% all x-y pairs on stack
  n 0 eq not
    { n 1 eq { 0 0 /n 2 def } if
      ArrowA
      /n n 2 sub def
      CP 2 copy moveto pop Oy Lineto
      n { 2 copy moveto pop Oy Lineto } repeat
      CP
      4 2 roll
      ArrowB
      2 copy moveto pop Oy
      L
      pop pop } if
} def
%
/Arcto { 
  /a [ 6 -2 roll ] cvx def 
  a r 
  /arcto load stopped { 5 } { 4 } ifelse { pop } repeat 
  a 
} def
%
/CheckClosed { 
  dup n 2 mul 1 sub index eq 2 index n 2 mul 1 add index eq
  and { pop pop /n n 1 sub def } if 
} def
%
/Polygon { 
  NArray n 2 eq { 0 0 /n 3 def } if 
  n 3 lt 
    { n { pop pop } repeat } 
    { n 3 gt { CheckClosed } if 
      n 2 mul -2 roll 
      /y0 ED /x0 ED /y1 ED /x1 ED  
      x1 y1 
      /x1 x0 x1 add 2 div def 
      /y1 y0 y1 add 2 div def 
      x1 y1 moveto 
      /n n 2 sub def 
      n { Lineto } repeat 
      x1 y1 x0 y0 6 4 roll Lineto
      Lineto pop pop closepath } ifelse 
} def
%
/SymbolPolygon {   % on stack [ x y x y ...
  counttomark 					% number of elements
  2 add /m ED
  2 copy m 2 roll				% copy last two
  m 2 div cvi /n ED    				% n pairs
  /YA ED /XA ED					% the start point
  n 1 sub { 
    /YB ED /XB ED
    /XLength XB XA sub def
    /YLength YB YA sub def
    /PAngle YLength XLength Atan def
    /XYLength XLength YLength Pyth def
    /nSym XYLength SymStep Div cvi def
    /Shift Symbol stringwidth pop 2 Div def 
    /deltaX XLength nSym Div def
    /deltaY YLength nSym Div def
    XA Shift sub YA Shift sub moveto 
    nSym { 
      gsave rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if
      Symbol show 
      grestore 
      deltaX deltaY rmoveto
    } repeat
%    XB Shift sub YB Shift sub moveto Symbol show
    /YA YB def /XA XB def
  } repeat 
  pop	% delete the mark symbol
} def
%
/Diamond { 
  /mtrx CM def 
  T rotate 
  /h ED 
  /w ED 
  dup 0 eq { pop } { CLW mul neg 
    /d ED 
    /a w h Atan def 
    /h d a sin Div h add def 
    /w d a cos Div w add def } ifelse 
  mark w 2 div h 2 div w 0 0 h neg w neg 0 0 h w 2 div h 2 div 
  /ArrowA { moveto } def 
  /ArrowB { } def 
  false Line 
  closepath mtrx setmatrix } def
%
/Triangle { 
  /mtrx CM def 
  translate 
  rotate /h ED 2 div /w ED 
  dup CLW mul /d ED 
  /h h d w h Atan sin Div sub def 
  /w w d h w Atan 2 div dup cos exch sin Div mul sub def 
  mark 
  0 d w neg d 0 h w d 0 d 
  /ArrowA { moveto } def 
  /ArrowB { } def 
  false 
  Line 
  closepath 
  mtrx
% DG/SR modification begin - Jun.  1, 1998 - Patch 3 (from Michael Vulis)
% setmatrix } def
  setmatrix pop 
} def
% DG/SR modification end
%
/CCA { 
  /y ED /x ED 
  2 copy y sub /dy1 ED 
  x sub /dx1 ED 
  /l1 dx1 dy1 Pyth def 
} def
%
/CC { 
  /l0 l1 def 
  /x1 x dx sub def 
  /y1 y dy sub def 
  /dx0 dx1 def 
  /dy0 dy1 def 
  CCA 
  /dx dx0 l1 c exp mul dx1 l0 c exp mul add def 
  /dy dy0 l1 c exp mul dy1 l0 c exp mul add def 
  /m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos abs b exp a mul dx dy Pyth Div 2 div def 
  /x2 x l0 dx mul m mul sub def
  /y2 y l0 dy mul m mul sub def 
  /dx l1 dx mul m mul neg def 
  /dy l1 dy mul m mul neg def 
} def
%
/IC { 
  /c c 1 add def 
  c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if } ifelse 
  /a a 2 mul 3 div 45 cos b exp div def 
  CCA 
  /dx 0 def 
  /dy 0 def 
} def
%
/BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def
/NC { CC x1 y1 x2 y2 x y curveto } def
/EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def
/BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def
/NAC { x2 y2 x y curveto CC x1 y1 } def
/EAC { x2 y2 x y ArrowB curveto pop pop } def
%
/OpenCurve { 
  NArray n 3 lt 
    { n { pop pop } repeat } 
    { BOC /n n 3 sub def n { NC } repeat EOC } ifelse 
} def
%
/CurvePath { 
  %% for negative SymStep we calculate the distance 
  SymStep 0 lt { gsave PathLength SymStep div abs /SymStep ED grestore } if
  0.5 setflat
  flattenpath /z 0 def /z0 0 def
  { /y1 ED /x1 ED /y2 y1 def /x2 x1 def 
    x1 Shift sub y1 Shift sub moveto 
    gsave 
    curveticks 
      { x1 y1 translate startAngle rotate 
        0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto 
        SymbolLinewidth setlinewidth stroke      
      }
      { startAngle rotate Symbol show }
    ifelse 
    grestore /z0 z def }
  { /y ED /x ED PathLength@ z z0 sub SymStep ge {
      x Shift sub y Shift sub moveto 
      gsave 
      curveticks 
        { y yOld sub x xOld sub Atan 180 sub CorrAngle sub /rotAngle ED  
          x y translate rotAngle rotate 
          0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto 
          SymbolLinewidth setlinewidth stroke
        }
        { 
          rotateSymbol { y yOld sub x xOld sub Atan 180 sub CorrAngle sub rotate } if        
          Symbol show 
        }
      ifelse 
      grestore /z0 z def } if 
    /yOld y def /xOld x def } 
  {} %% the lineto part
  { /y y2 def /x x2 def PathLength@ 
    x Shift sub y Shift sub moveto 
    gsave
    curveticks 
      { y yOld sub x xOld sub Atan 180 sub /rotAngle ED  
        x y translate rotAngle rotate 
        0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto 
        SymbolLinewidth setlinewidth stroke
      }
      { 
        x Shift sub y Shift sub moveto 
        rotateSymbol { y yOld sub x xOld sub Atan 180 sub CorrAngle sub rotate } if        
        Symbol show 
      }
    ifelse 
    grestore
  }
  pathforall 
%  curveticks 
%   { gsave 
%     x y translate rotAngle rotate 
%     0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto 
%     SymbolLinewidth setlinewidth stroke grestore
%   } if
  z 
} def
%
/OpenSymbolCurve { 
  OpenCurve
  0.1 setflat
  /Shift Symbol stringwidth pop 2 div def 
  CurvePath 
} def
%
/AltCurve { 
  { false NArray n 2 mul 2 roll 
    [ n 2 mul 3 sub 1 roll ] aload
    /Points ED 
    n 2 mul -2 roll } 
  { false NArray } ifelse 
  n 4 lt { n { pop pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse 
} def
%
/AltOpenSymbolCurve { 
  AltCurve
  0.1 setflat
  /Shift Symbol stringwidth pop 2 div def 
  CurvePath 
} def
%
/ClosedCurve { 
  NArray n 3 lt 
    { n { pop pop } repeat } 
    { n 3 gt { CheckClosed } if 
      6 copy n 2 mul 6 add 6 roll 
      IC CC x y moveto n { NC } repeat 
      closepath pop pop 
    } ifelse 
} def
%
/ClosedSymbolCurve { 
  ClosedCurve
  0.1 setflat
  /Shift Symbol stringwidth pop 2 div def 
  CurvePath 
} def
%
/CalcBezierSpline {%  Christoph Bersch
  10 dict begin
  /getX { Points exch 2 mul get } def
  /getY { Points exch 2 mul 1 add get } def
  /n Points length 1 sub 2 idiv def
  /GetFirstControlPoints {
    /x n array def
    /tmp n array def
    /b 2 def
    x 0 rhs 0 get b div put
    1 1 n 1 sub {
      /i exch def
      tmp i 1 b div dup 4 1 roll put
      i n 1 sub lt { 4 }{ 3.5 } ifelse exch sub /b exch def
      x i rhs i get x i 1 sub get sub b div put
    } for
    1 1 n 1 sub {
      n exch sub
      dup dup x exch 1 sub 2 copy 6 2 roll
      get 3 1 roll tmp exch get
      exch x exch get mul sub
      put	
    } for
    x
  } def
  % 
  n 1 eq {
    0 getX 2 mul 1 getX add 3 div
    0 getY 2 mul 1 getY add 3 div
    exch dup 3 1 roll 2 mul 0 getX sub
    exch dup 3 1 roll 2 mul 0 getY sub
    [ 0 getX 0 getY 7 3 roll 1 getX 1 getY ] /outPoints exch def
  } {
    /outPoints 6 n mul 2 add array def
    0 1 n {
      dup dup 6 mul dup 1 add
      outPoints exch 5 -1 roll getY put
      outPoints exch 3 -1 roll getX put
    } for
    /rhs n array def
    1 1 n 2 sub {
      rhs exch dup dup getX 4 mul exch 1 add getX 2 mul add put
    } for
    rhs 0 0 getX 1 getX 2 mul add put
    rhs n 1 sub dup getX 8 mul n getX add 2 div put
    GetFirstControlPoints
    1 1 n 2 sub {
      rhs exch dup dup getY 4 mul exch 1 add getY 2 mul add put
    } for
    rhs 0 0 getY 1 getY 2 mul add put
    rhs n 1 sub dup getY 8 mul n getY add 2 div put
    GetFirstControlPoints
    0 1 n 1 sub {
      /i exch def
      2 copy
      i get outPoints 6 i mul 3 add 3 -1 roll put
      i get outPoints 6 i mul 2 add 3 -1 roll put
      2 copy
      i n 1 sub lt {
        i 1 add get i 1 add getY 2 mul exch sub outPoints 6 i mul 5 add 3 -1 roll put
        i 1 add get i 1 add getX 2 mul exch sub outPoints 6 i mul 4 add 3 -1 roll put
      }{
        n 1 sub get n getY add 2 div outPoints 6 n 1 sub mul 5 add 3 -1 roll put
        n 1 sub get n getX add 2 div outPoints 6 n 1 sub mul 4 add 3 -1 roll put
      } ifelse
    } for
    pop pop
  } ifelse
  outPoints
  end
} def
/Spline {
  /showpoints ED
  counttomark 2 div dup cvi /n ED
  n eq not { exch pop } if
  ] /Points ED
  n 1 gt {
    CalcBezierSpline
    mark exch aload pop
    ArrowA
    n 2 sub {
      6 2 roll 4 2 roll curveto
    } repeat
    6 2 roll 4 2 roll ArrowB curveto
  } if
} def
/OpenSymbolSpline {
  Spline
  0.1 setflat
  /Shift Symbol stringwidth pop 2 div def 
  CurvePath 
} def
%
/SQ { /r ED r r moveto r r neg L r neg r neg L r neg r L fill } def
/ST { /y ED /x ED x y moveto x neg y L 0 x L fill } def
/SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore } def
%
/FontDot { 
  DS 2 mul dup 
  matrix scale matrix concatmatrix exch matrix
  rotate matrix concatmatrix exch 
  findfont exch makefont setfont 
} def
%
/Rect { 
  x1 y1 y2 add 2 div moveto 
%  x1 y2 lineto 
%  x2 y2 lineto 
%  x2 y1 lineto
%  x1 y1 lineto 
  x1 y1 lineto  % counter clockwise path
  x2 y1 lineto 
  x2 y2 lineto
  x1 y2 lineto 
  closepath 
} def
%
/OvalFrame { 
  x1 x2 eq y1 y2 eq or 
    { pop pop x1 y1 moveto x2 y2 L } 
    { y1 y2 sub abs x1 x2 sub abs 2 copy gt 
      { exch pop } { pop } ifelse 
      2 div exch { dup 3 1 roll mul exch } if 
      2 copy lt { pop } { exch pop } ifelse
      /b ED 
      x1 y1 y2 add 2 div moveto 
      x1 y2 x2 y2 b arcto 
      x2 y2 x2 y1 b arcto
      x2 y1 x1 y1 b arcto 
      x1 y1 x1 y2 b arcto 
      16 { pop } repeat 
      closepath 
    } ifelse 
} def
%
/Frame { 
  CLW mul /a ED 
  3 -1 roll 
  2 copy gt { exch } if 
  a sub /y2 ED 
  a add /y1 ED 
  2 copy gt { exch } if 
  a sub /x2 ED 
  a add /x1 ED 
  1 index 0 eq { pop pop Rect } { OvalFrame } ifelse 
} def
%
/BezierNArray { 
  /f ED 
  counttomark 2 div dup cvi /n ED 
  n eq not { exch pop } if 
  n 1 sub neg 3 mod 3 add 3 mod { 0 0 /n n 1 add def } repeat 
  f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse 
} def
%
/OpenBezier { 
  BezierNArray 
  n 1 eq 
    { pop pop } 
    { ArrowA n 4 sub 3 idiv 
      { 6 2 roll 4 2 roll curveto } repeat 
      6 2 roll 4 2 roll ArrowB curveto } ifelse 
} def
%
/OpenSymbolBezier { 
  OpenBezier
  0.1 setflat
  /Shift Symbol stringwidth pop 2 div def 
  CurvePath 
} def
%
/ClosedBezier { 
  BezierNArray 
  n 1 eq 
    { pop pop } 
    { moveto n 1 sub 3 idiv 
      { 6 2 roll 4 2 roll curveto } repeat 
      closepath } ifelse 
} def
%
/ClosedSymbolBezier { 
  /f ED				 % save showpoints value 
  2 copy /yEnd ED /xEnd ED
  counttomark -2 roll 2 copy /yStart ED /xStart ED
  counttomark 2 roll
  f
  ClosedBezier
  0.1 setflat
  /Shift Symbol stringwidth pop 2 div def 
  CurvePath 
  [ xEnd yEnd xStart yStart SymbolLine 
} def
%
/BezierShowPoints { 
  gsave 
  Points aload length 2 div cvi /n ED 
  moveto 
  n 1 sub { lineto } repeat 
  CLW 2 div SLW [ 4 4 ] 0 setdash stroke 
  grestore 
} def
%
/Parab { 
  /y0 ED /x0 ED /y1 ED /x1 ED 
  /dx x0 x1 sub 3 div def 
  /dy y0 y1 sub 3 div def 
  x0 dx sub y0 dy add x1 y1 ArrowA
  x0 dx add y0 dy add x0 2 mul x1 sub y1 ArrowB 
  curveto 
  /Points [ x1 y1 x0 y0 x0 2 mul x1 sub y1 ] def 
} def
%
/Parab1 { % 1 end  |  0 SP
  /ySP ED /xSP ED /y1 ED /x1 ED 
  /dx xSP x1 sub 3 div def 
  /dy ySP y1 sub 3 div def 
  newpath x1 y1 moveto xSP y1 lineto xSP ySP lineto 
                       x1 ySP lineto closepath clip 
  currentpoint
  newpath moveto
  xSP dx sub ySP dy add x1 y1 ArrowA
  xSP dx add ySP dy add xSP 2 mul x1 sub y1 ArrowB 
  curveto 
  /Points [ x1 y1 xSP ySP xSP 2 mul x1 sub y1 ] def 
} def
%
/Grid { 
  newpath 
  /a 4 string def 
  /b ED % 				psk@gridlabels in pt
  /c ED % 				{ \pst@usecolor\psgridlabelcolor }
  /n ED % 				psk@griddots
  cvi dup 1 lt { pop 1 } if 
  /s ED % 				\psk@subgriddiv
  s div dup 0 eq { pop 1 } if 
  /dy ED s div dup 0 eq { pop 1 } if %	\pst@number\psyunit abs
  /dx ED dy div round dy mul         %	\pst@number\psxunit abs
  /y0 ED dx div round dx mul 
  /x0 ED dy div round cvi 
  /y2 ED dx div round cvi 
  /x2 ED dy div round cvi 
  /y1 ED dx div round cvi 
  /x1 ED 
  /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def 
  /w x2 x1 sub 0 gt { 1 } { -1 } ifelse def 
  b 0 gt { 
    /z1 b 4 div CLW 2 div add def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%    Helvetica findfont b scalefont setfont 
%    is set in pstricks.tex
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%    
%     /NimbusSanL-Regu findfont b scalefont setfont   
  /b b .95 mul CLW 2 div add def } if 
  systemdict /setstrokeadjust known 
    { true setstrokeadjust /t { } def }
    { /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add
       exch itransform } bind def } ifelse 
  gsave n 0 gt { 1 setlinecap [ 0 dy n div ] dy n div 2 div setdash } { 2 setlinecap } ifelse 
  /i x1 def 
  /f y1 dy mul n 0 gt { dy n div 2 div h mul sub } if def 
  /g y2 dy mul n 0 gt { dy n div 2 div h mul add } if def 
  x2 x1 sub w mul 1 add dup 1000 gt { pop 1000 } if 
  dup % run loop two times: lines and labels
  { i dx mul dup xGridOffset add y0 moveto % draw the lines
    dup t f moveto 
    g t L stroke 
    /i i w add def 
  } repeat 
  /i x1 def 
  GridDX div ceiling cvi 
  { i dx mul GridDX mul dup xGridOffset add y0 moveto % plot the labels
    b 0 gt 
      { gsave c i GridDX mul a cvs dup stringwidth pop /z2 ED  
        w 0 gt {z1} {z1 z2 add neg} ifelse 
	h 0 gt {b neg}{z1} ifelse exch GridDX div z2 2 div sub exch 
        rmoveto show grestore } if 
    /i i w add def 
  } repeat 
  grestore 
  gsave 
  n 0 gt
    { 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash }
    { 2 setlinecap } ifelse 
  /i y1 def 
  /f x1 dx mul n 0 gt { dx n div 2 div w mul sub } if def 
  /g x2 dx mul n 0 gt { dx n div 2 div w mul add } if def 
  y2 y1 sub h mul 1 add dup 1000 gt { pop 1000 } if 
  dup % run loop two times: lines and labels
  { newpath i dy mul dup yGridOffset add x0 exch moveto 
    dup f exch t moveto 
    g exch t L stroke 
    /i i h add def 
  } repeat 
  /i y1 def 
  GridDY div ceiling cvi
  { newpath i dy mul GridDY mul dup yGridOffset add x0 exch moveto 
    b 0 gt { gsave c i GridDY mul a cvs dup stringwidth pop 
      /z2 ED 
      w 0 gt {z1 z2 add neg} {z1} ifelse 
      h 0 gt {z1} {b neg} ifelse GridDY div b 2 div sub
      rmoveto show grestore } if 
    /i i h add def 
  } repeat 
  grestore 
} def
%
/ArcArrow { 
  /d ED /b ED /a ED 
  gsave 
  newpath 0 -1000 moveto clip 
  newpath 
  0 1 0 0 b 
  grestore 
  c mul 
  /e ED 
  pop pop pop r a e d PtoC y add exch x add
  exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c
  mul neg d 
} def
%
%
/isbool { type (booleantype) cvn eq } def
%
/Ellipse { 
  dup isbool { /MoveToStart ED }{ /MoveToStart false def }ifelse  % false or true
  /rotAngle ED
  /mtrx CM def 
  T 
  rotAngle rotate
  scale 
  MoveToStart { 0 0 moveto 1 0 rmoveto } if  % move to the start position
  0 0 1 5 3 roll arc 
  mtrx setmatrix 
} def
%
/ArcAdjust { %%%% Vincent Guirardel
% given a target length (targetLength) and an initial angle (angle0) [in the stack],
% let  M(angle0)=(rx*cos(angle0),ry*sin(angle0))=(x0,y0).
% This computes an angle t such that (x0,y0) is at distance 
% targetLength from the point M(t)=(rx*cos(t),ry*sin(t)).
% NOTE: this an absolute angle, it does not have to be added or substracted to angle0
% contrary to TvZ's code.
% To achieve, this, one iterates the following process: start with some angle t,
% compute the point M' at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)].
% Now take t' (= new angle) so that (0,0) M(t') and M' are aligned.
%
% Another difference with TvZ's code is that we need d (=add/sub) to be defined.
% the value of d = add/sub is used to know on which side we have to move.
% It is only used in the initialisation of the angle before the iteration.
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Input stack:  1: target length 2: initial angle
% variables used : rx, ry, d (=add/sub)
%
  /targetLength ED /angle0 ED
  /x0 rx angle0 cos mul def
  /y0 ry angle0 sin mul def
% we are looking for an angle t such that (x0,y0) is at distance targetLength 
% from the point M(t)=(rx*cos(t),ry*sin(t)))
%initialisation of angle (using 1st order approx = TvZ's code)
  targetLength 57.2958 mul
  angle0 sin rx mul dup mul
  angle0 cos ry mul dup mul
  add sqrt div 
% if initialisation angle is two large (more than 90 degrees) set it to 90 degrees
% (if the ellipse is very curved at the point where we draw the arrow, %
% the value can be much more than 360 degrees !)
% this should avoid going on the wrong side (more than 180 degrees) or go near
% a bad attractive point (at 180 degrees)
  dup 90 ge { pop 90 } if 
  angle0 exch d % add or sub
% maximum number of times to iterate the iterative procedure:
% iterative procedure: takes an angle t on top of stack, computes a 
% better angle (and put it on top of stack)
  30 { dup
% compute distance D between (x0,y0) and M(t)
    dup cos rx mul x0 sub dup mul exch sin ry mul y0 sub dup mul add sqrt
% if D almost equals targetLength, we stop
    dup targetLength sub abs 1e-5 le { pop exit } if
% stack now contains D t
% compute the point M(t') at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]:
% M(t')= ( (x(t)-x0)*targetLength/d+x0 , (y(t)-y0)*targetLength/d+y0 )
    exch dup cos rx mul x0 sub  exch sin ry mul y0 sub
% stack contains:  y(t)-y0, x(t)-x0, d
    2 index Div targetLength mul y0 add ry Div exch
    2 index Div targetLength mul x0 add rx Div
% stack contains x(t')/rx , y(t')/ry , d
% now compute t', and remove D from stack
    atan exch pop
  } repeat
% we don't look at what happened... in particular, if targetLength is greater 
% than the diameter of the ellipse...
% the final angle will be around /angle0 + 180. maybe we should treat this pathological case...
% after iteration, stack contains an angle t such that M(t) is the tail of the arrow
% to give back the result as a an angle relative to angle0 we could add the following line:
% angle0 sub 0 exch d
%
% begin bug fix 2006-01-11
% we want to adjust the new angle t' by a multiple of 360 so that  | t'-angle0 | <= 180
%(we don't want to make the ellipse turn more or less than it should)...
dup angle0 sub dup abs 180 gt { 180 add 360 div floor 360 mul sub } { pop } ifelse
% end bug fix
} def
%
/EllipticArcArrow {
  /d ED      % is add or sub
  /b ED      % arrow procedure
  /a1 ED     % angle
  gsave
  newpath
  0 -1000 moveto
  clip                  % Set clippath far from arrow.
  newpath
  0 1 0 0 b             % Draw arrow to determine length.
  grestore
% Length of arrow is on top of stack. Next 3 numbers are junk.
%
  a1 exch ArcAdjust   % Angular position of base of arrow.
  /a2 ED
  pop pop pop
  a2 cos rx mul xOrig add % hv 2007-08-29   x->xOrig
  a2 sin ry mul yOrig add % hv 2007-08-29   y->yOrig
  a1 cos rx mul xOrig add % 
  a1 sin ry mul yOrig add % 
% Now arrow tip coor and base coor are on stack.
  b pop pop pop pop       % Draw arrow, and discard coordinates.
  a2 CLW 8 div
% change value of d (test it by looking if  `` 1 1 d '' gives 2 or not )
  1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse
  ArcAdjust
% resets original value of d
  1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse  % Adjust angle to give overlap.
} def
%%------------------ tvz/DG/hv (2004-05-10) end -------------------%%
%
/Rot { CP CP translate 3 -1 roll neg rotate NET  } def
%
/RotBegin { 
  tx@Dict /TMatrix known not { /TMatrix { } def /RAngle { 0 } def } if 
  /TMatrix [ TMatrix CM ] cvx def 
  /a ED 
  a Rot /RAngle [ RAngle dup a add ] cvx def 
} def
%
/RotEnd { 
  /TMatrix [ TMatrix setmatrix ] cvx def 
  /RAngle [ RAngle pop ] cvx def 
} def
%
/PutCoor { gsave CP T CM STV exch exec moveto setmatrix CP grestore } def
/PutBegin { /TMatrix [ TMatrix CM ] cvx def CP 4 2 roll T moveto } def
/PutEnd { CP /TMatrix [ TMatrix setmatrix ] cvx def moveto } def
%
/Uput {
  /a ED 
  add 2 div /h ED 2 
  div /w ED 
  /s a sin def 
  /c a cos def 
  /b s abs c abs 2 copy gt dup 
    /q ED 
    { pop } { exch pop } ifelse def 
  /w1 c b div w mul def 
  /h1 s b div h mul def 
  q { w1 abs w sub dup c mul abs }{ h1 abs h sub dup s mul abs } ifelse 
} def
%
/UUput { 
  5 dict begin
  /z ED 
  abs /y ED 
  /x ED 
  q { x s div c mul abs y gt }{ x c div s mul abs y gt } ifelse 
    { x x mul y y mul sub z z mul add sqrt z add } 
    { q { x s div } { x c div } ifelse abs 
    } ifelse 
  a PtoC 
  h1 add exch 
  w1 add exch 
  end
} def
%
end
%-----------------------------------------------------------------------------%
%
% END pstricks.pro