summaryrefslogtreecommitdiffstats
path: root/generic/tkCanvArc.c
blob: cd7ce9dfa4ff7ee0f5497b9d706fe3dd74d9e95c (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
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
1706
1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
1729
1730
1731
1732
1733
1734
1735
1736
1737
1738
1739
1740
1741
1742
1743
1744
1745
1746
1747
1748
1749
1750
1751
1752
1753
1754
1755
1756
1757
1758
1759
1760
1761
1762
1763
1764
1765
1766
1767
1768
1769
1770
1771
1772
1773
1774
1775
1776
1777
1778
1779
1780
1781
1782
1783
1784
1785
1786
1787
1788
1789
1790
1791
1792
1793
1794
1795
1796
1797
1798
1799
1800
1801
1802
1803
1804
1805
1806
1807
1808
1809
1810
1811
1812
1813
1814
1815
1816
1817
1818
1819
1820
1821
1822
1823
1824
1825
1826
1827
1828
1829
1830
1831
1832
1833
1834
1835
1836
1837
1838
1839
1840
1841
1842
1843
1844
1845
1846
1847
1848
1849
1850
1851
1852
1853
1854
1855
1856
1857
1858
1859
1860
1861
1862
1863
1864
1865
1866
1867
1868
1869
1870
1871
1872
1873
1874
1875
1876
1877
1878
1879
1880
1881
1882
1883
1884
1885
1886
1887
1888
1889
1890
1891
1892
1893
1894
1895
1896
1897
1898
1899
1900
1901
1902
1903
1904
1905
1906
1907
1908
1909
1910
1911
1912
1913
1914
1915
1916
1917
1918
1919
1920
1921
1922
1923
1924
1925
1926
1927
1928
1929
1930
1931
1932
1933
1934
1935
1936
1937
1938
1939
1940
1941
1942
1943
1944
1945
1946
1947
1948
1949
1950
1951
1952
1953
1954
1955
1956
1957
1958
1959
1960
1961
1962
1963
1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
2041
2042
2043
2044
2045
2046
2047
2048
2049
2050
2051
2052
2053
2054
2055
2056
2057
2058
2059
2060
2061
2062
2063
2064
2065
2066
2067
2068
2069
2070
2071
2072
2073
2074
2075
2076
2077
2078
2079
2080
2081
2082
2083
2084
2085
2086
2087
2088
2089
2090
2091
2092
2093
2094
2095
2096
2097
2098
2099
2100
2101
2102
2103
2104
2105
2106
2107
2108
2109
2110
2111
2112
2113
2114
2115
2116
2117
2118
2119
2120
2121
2122
2123
2124
2125
2126
2127
2128
2129
2130
2131
2132
2133
2134
2135
2136
2137
2138
2139
2140
2141
2142
2143
2144
2145
2146
2147
2148
2149
2150
2151
2152
2153
2154
2155
2156
2157
2158
2159
2160
2161
2162
2163
2164
2165
2166
2167
2168
2169
2170
2171
2172
2173
2174
2175
2176
2177
2178
2179
2180
2181
2182
2183
2184
2185
2186
2187
2188
2189
2190
2191
2192
2193
2194
2195
2196
2197
2198
2199
2200
2201
2202
2203
2204
2205
2206
2207
2208
2209
2210
2211
2212
2213
2214
2215
2216
2217
2218
2219
2220
2221
2222
2223
2224
2225
2226
2227
2228
2229
2230
2231
2232
2233
2234
2235
2236
2237
2238
2239
2240
2241
2242
2243
2244
2245
2246
2247
2248
2249
2250
2251
2252
2253
2254
2255
2256
2257
2258
2259
2260
2261
2262
2263
2264
2265
2266
2267
2268
2269
2270
2271
2272
2273
2274
2275
2276
2277
2278
2279
2280
2281
2282
2283
2284
2285
2286
2287
2288
2289
2290
2291
2292
2293
2294
2295
2296
2297
2298
2299
2300
2301
2302
2303
2304
/*
 * tkCanvArc.c --
 *
 *	This file implements arc items for canvas widgets.
 *
 * Copyright (c) 1992-1994 The Regents of the University of California.
 * Copyright (c) 1994-1997 Sun Microsystems, Inc.
 *
 * See the file "license.terms" for information on usage and redistribution of
 * this file, and for a DISCLAIMER OF ALL WARRANTIES.
 */

#include "tkInt.h"
#include "tkCanvas.h"

#include "float.h"

/*
 * The structure below defines the record for each arc item.
 */

typedef enum {
    PIESLICE_STYLE, CHORD_STYLE, ARC_STYLE
} Style;

typedef struct ArcItem {
    Tk_Item header;		/* Generic stuff that's the same for all
				 * types. MUST BE FIRST IN STRUCTURE. */
    Tk_Outline outline;		/* Outline structure */
    double bbox[4];		/* Coordinates (x1, y1, x2, y2) of bounding
				 * box for oval of which arc is a piece. */
    double start;		/* Angle at which arc begins, in degrees
				 * between 0 and 360. */
    double extent;		/* Extent of arc (angular distance from start
				 * to end of arc) in degrees between -360 and
				 * 360. */
    double *outlinePtr;		/* Points to (x,y) coordinates for points that
				 * define one or two closed polygons
				 * representing the portion of the outline
				 * that isn't part of the arc (the V-shape for
				 * a pie slice or a line-like segment for a
				 * chord). Malloc'ed. */
    int numOutlinePoints;	/* Number of points at outlinePtr. Zero means
				 * no space allocated. */
    Tk_TSOffset tsoffset;
    XColor *fillColor;		/* Color for filling arc (used for drawing
				 * outline too when style is "arc"). NULL
				 * means don't fill arc. */
    XColor *activeFillColor;	/* Color for filling arc (used for drawing
				 * outline too when style is "arc" and state
				 * is "active"). NULL means use fillColor. */
    XColor *disabledFillColor;	/* Color for filling arc (used for drawing
				 * outline too when style is "arc" and state
				 * is "disabled". NULL means use fillColor */
    Pixmap fillStipple;		/* Stipple bitmap for filling item. */
    Pixmap activeFillStipple;	/* Stipple bitmap for filling item if state is
				 * active. */
    Pixmap disabledFillStipple;	/* Stipple bitmap for filling item if state is
				 * disabled. */
    Style style;		/* How to draw arc: arc, chord, or
				 * pieslice. */
    GC fillGC;			/* Graphics context for filling item. */
    double center1[2];		/* Coordinates of center of arc outline at
				 * start (see ComputeArcOutline). */
    double center2[2];		/* Coordinates of center of arc outline at
				 * start+extent (see ComputeArcOutline). */
    double height;              /* Distance from the arc's chord to its
				 * mid-point. */
    double startPoint[2];       /* Start point of arc used when specifying
				 * height. */
    double endPoint[2];         /* End point of arc used when specifying
				 * height. */
} ArcItem;

/*
 * The definitions below define the sizes of the polygons used to display
 * outline information for various styles of arcs:
 */

#define CHORD_OUTLINE_PTS	7
#define PIE_OUTLINE1_PTS	6
#define PIE_OUTLINE2_PTS	7

/*
 * Information used for parsing configuration specs:
 */

static int	StyleParseProc(ClientData clientData, Tcl_Interp *interp,
		    Tk_Window tkwin, const char *value,
		    char *widgRec, int offset);
static const char * StylePrintProc(ClientData clientData, Tk_Window tkwin,
		    char *widgRec, int offset, Tcl_FreeProc **freeProcPtr);

static const Tk_CustomOption stateOption = {
    TkStateParseProc, TkStatePrintProc, INT2PTR(2)
};
static const Tk_CustomOption styleOption = {
    StyleParseProc, StylePrintProc, NULL
};
static const Tk_CustomOption tagsOption = {
    Tk_CanvasTagsParseProc, Tk_CanvasTagsPrintProc, NULL
};
static const Tk_CustomOption dashOption = {
    TkCanvasDashParseProc, TkCanvasDashPrintProc, NULL
};
static const Tk_CustomOption offsetOption = {
    TkOffsetParseProc, TkOffsetPrintProc, INT2PTR(TK_OFFSET_RELATIVE)
};
static const Tk_CustomOption pixelOption = {
    TkPixelParseProc, TkPixelPrintProc, NULL
};

static const Tk_ConfigSpec configSpecs[] = {
    {TK_CONFIG_CUSTOM, "-activedash", NULL, NULL,
	NULL, offsetof(ArcItem, outline.activeDash),
	TK_CONFIG_NULL_OK, &dashOption},
    {TK_CONFIG_COLOR, "-activefill", NULL, NULL,
	NULL, offsetof(ArcItem, activeFillColor), TK_CONFIG_NULL_OK, NULL},
    {TK_CONFIG_COLOR, "-activeoutline", NULL, NULL,
	NULL, offsetof(ArcItem, outline.activeColor), TK_CONFIG_NULL_OK, NULL},
    {TK_CONFIG_BITMAP, "-activeoutlinestipple", NULL, NULL,
	NULL, offsetof(ArcItem, outline.activeStipple), TK_CONFIG_NULL_OK, NULL},
    {TK_CONFIG_BITMAP, "-activestipple", NULL, NULL,
	NULL, offsetof(ArcItem, activeFillStipple), TK_CONFIG_NULL_OK, NULL},
    {TK_CONFIG_CUSTOM, "-activewidth", NULL, NULL,
	"0.0", offsetof(ArcItem, outline.activeWidth),
	TK_CONFIG_DONT_SET_DEFAULT, &pixelOption},
    {TK_CONFIG_CUSTOM, "-dash", NULL, NULL,
	NULL, offsetof(ArcItem, outline.dash),
	TK_CONFIG_NULL_OK, &dashOption},
    {TK_CONFIG_PIXELS, "-dashoffset", NULL, NULL,
	"0", offsetof(ArcItem, outline.offset), TK_CONFIG_DONT_SET_DEFAULT, NULL},
    {TK_CONFIG_CUSTOM, "-disableddash", NULL, NULL,
	NULL, offsetof(ArcItem, outline.disabledDash),
	TK_CONFIG_NULL_OK, &dashOption},
    {TK_CONFIG_COLOR, "-disabledfill", NULL, NULL,
	NULL, offsetof(ArcItem, disabledFillColor), TK_CONFIG_NULL_OK, NULL},
    {TK_CONFIG_COLOR, "-disabledoutline", NULL, NULL,
	NULL, offsetof(ArcItem, outline.disabledColor), TK_CONFIG_NULL_OK, NULL},
    {TK_CONFIG_BITMAP, "-disabledoutlinestipple", NULL, NULL,
	NULL, offsetof(ArcItem, outline.disabledStipple), TK_CONFIG_NULL_OK, NULL},
    {TK_CONFIG_BITMAP, "-disabledstipple", NULL, NULL,
	NULL, offsetof(ArcItem, disabledFillStipple), TK_CONFIG_NULL_OK, NULL},
    {TK_CONFIG_CUSTOM, "-disabledwidth", NULL, NULL,
	"0.0", offsetof(ArcItem, outline.disabledWidth),
	TK_CONFIG_DONT_SET_DEFAULT, &pixelOption},
    {TK_CONFIG_DOUBLE, "-extent", NULL, NULL,
	"90", offsetof(ArcItem, extent), TK_CONFIG_DONT_SET_DEFAULT, NULL},
    {TK_CONFIG_COLOR, "-fill", NULL, NULL,
	NULL, offsetof(ArcItem, fillColor), TK_CONFIG_NULL_OK, NULL},
    {TK_CONFIG_DOUBLE, "-height", NULL, NULL,
	0, offsetof(ArcItem, height), TK_CONFIG_DONT_SET_DEFAULT, NULL},
    {TK_CONFIG_CUSTOM, "-offset", NULL, NULL,
	"0,0", offsetof(ArcItem, tsoffset),
	TK_CONFIG_DONT_SET_DEFAULT, &offsetOption},
    {TK_CONFIG_COLOR, "-outline", NULL, NULL,
	"black", offsetof(ArcItem, outline.color), TK_CONFIG_NULL_OK, NULL},
    {TK_CONFIG_CUSTOM, "-outlineoffset", NULL, NULL,
	"0,0", offsetof(ArcItem, outline.tsoffset),
	TK_CONFIG_DONT_SET_DEFAULT, &offsetOption},
    {TK_CONFIG_BITMAP, "-outlinestipple", NULL, NULL,
	NULL, offsetof(ArcItem, outline.stipple), TK_CONFIG_NULL_OK, NULL},
    {TK_CONFIG_DOUBLE, "-start", NULL, NULL,
	"0", offsetof(ArcItem, start), TK_CONFIG_DONT_SET_DEFAULT, NULL},
    {TK_CONFIG_CUSTOM, "-state", NULL, NULL,
	NULL, offsetof(Tk_Item, state), TK_CONFIG_NULL_OK, &stateOption},
    {TK_CONFIG_BITMAP, "-stipple", NULL, NULL,
	NULL, offsetof(ArcItem, fillStipple), TK_CONFIG_NULL_OK, NULL},
    {TK_CONFIG_CUSTOM, "-style", NULL, NULL,
	NULL, offsetof(ArcItem, style), TK_CONFIG_DONT_SET_DEFAULT,
	&styleOption},
    {TK_CONFIG_CUSTOM, "-tags", NULL, NULL,
	NULL, 0, TK_CONFIG_NULL_OK, &tagsOption},
    {TK_CONFIG_CUSTOM, "-width", NULL, NULL,
	"1.0", offsetof(ArcItem, outline.width), TK_CONFIG_DONT_SET_DEFAULT,
	&pixelOption},
    {TK_CONFIG_END, NULL, NULL, NULL, NULL, 0, 0, NULL}
};

/*
 * Prototypes for functions defined in this file:
 */

static void		ComputeArcBbox(Tk_Canvas canvas, ArcItem *arcPtr);
static int		ConfigureArc(Tcl_Interp *interp,
			    Tk_Canvas canvas, Tk_Item *itemPtr, int objc,
			    Tcl_Obj *const objv[], int flags);
static void		ComputeArcParametersFromHeight(ArcItem *arcPtr);
static int		CreateArc(Tcl_Interp *interp,
			    Tk_Canvas canvas, struct Tk_Item *itemPtr,
			    int objc, Tcl_Obj *const objv[]);
static void		DeleteArc(Tk_Canvas canvas,
			    Tk_Item *itemPtr, Display *display);
static void		DisplayArc(Tk_Canvas canvas,
			    Tk_Item *itemPtr, Display *display, Drawable dst,
			    int x, int y, int width, int height);
static int		ArcCoords(Tcl_Interp *interp, Tk_Canvas canvas,
			    Tk_Item *itemPtr, int objc, Tcl_Obj *const objv[]);
static int		ArcToArea(Tk_Canvas canvas,
			    Tk_Item *itemPtr, double *rectPtr);
static double		ArcToPoint(Tk_Canvas canvas,
			    Tk_Item *itemPtr, double *coordPtr);
static int		ArcToPostscript(Tcl_Interp *interp,
			    Tk_Canvas canvas, Tk_Item *itemPtr, int prepass);
static void		ScaleArc(Tk_Canvas canvas,
			    Tk_Item *itemPtr, double originX, double originY,
			    double scaleX, double scaleY);
static void		TranslateArc(Tk_Canvas canvas,
			    Tk_Item *itemPtr, double deltaX, double deltaY);
static int		AngleInRange(double x, double y,
			    double start, double extent);
static void		ComputeArcOutline(Tk_Canvas canvas, ArcItem *arcPtr);
static int		HorizLineToArc(double x1, double x2,
			    double y, double rx, double ry,
			    double start, double extent);
static int		VertLineToArc(double x, double y1,
			    double y2, double rx, double ry,
			    double start, double extent);
static void		RotateArc(Tk_Canvas canvas, Tk_Item *itemPtr,
			    double originX, double originY, double angleRad);

/*
 * The structures below defines the arc item types by means of functions that
 * can be invoked by generic item code.
 */

Tk_ItemType tkArcType = {
    "arc",			/* name */
    sizeof(ArcItem),		/* itemSize */
    CreateArc,			/* createProc */
    configSpecs,		/* configSpecs */
    ConfigureArc,		/* configureProc */
    ArcCoords,			/* coordProc */
    DeleteArc,			/* deleteProc */
    DisplayArc,			/* displayProc */
    TK_CONFIG_OBJS,		/* flags */
    ArcToPoint,			/* pointProc */
    ArcToArea,			/* areaProc */
    ArcToPostscript,		/* postscriptProc */
    ScaleArc,			/* scaleProc */
    TranslateArc,		/* translateProc */
    NULL,			/* indexProc */
    NULL,			/* icursorProc */
    NULL,			/* selectionProc */
    NULL,			/* insertProc */
    NULL,			/* dTextProc */
    NULL,			/* nextPtr */
    RotateArc,			/* rotateProc */
    0, NULL, NULL
};

/*
 *--------------------------------------------------------------
 *
 * CreateArc --
 *
 *	This function is invoked to create a new arc item in a canvas.
 *
 * Results:
 *	A standard Tcl return value. If an error occurred in creating the
 *	item, then an error message is left in the interp's result; in this
 *	case itemPtr is left uninitialized, so it can be safely freed by the
 *	caller.
 *
 * Side effects:
 *	A new arc item is created.
 *
 *--------------------------------------------------------------
 */

static int
CreateArc(
    Tcl_Interp *interp,		/* Interpreter for error reporting. */
    Tk_Canvas canvas,		/* Canvas to hold new item. */
    Tk_Item *itemPtr,		/* Record to hold new item; header has been
				 * initialized by caller. */
    int objc,			/* Number of arguments in objv. */
    Tcl_Obj *const objv[])	/* Arguments describing arc. */
{
    ArcItem *arcPtr = (ArcItem *) itemPtr;
    int i;

    if (objc == 0) {
	Tcl_Panic("canvas did not pass any coords");
    }

    /*
     * Carry out initialization that is needed in order to clean up after
     * errors during the the remainder of this function.
     */

    Tk_CreateOutline(&(arcPtr->outline));
    arcPtr->start = 0;
    arcPtr->extent = 90;
    arcPtr->outlinePtr = NULL;
    arcPtr->numOutlinePoints = 0;
    arcPtr->tsoffset.flags = 0;
    arcPtr->tsoffset.xoffset = 0;
    arcPtr->tsoffset.yoffset = 0;
    arcPtr->fillColor = NULL;
    arcPtr->activeFillColor = NULL;
    arcPtr->disabledFillColor = NULL;
    arcPtr->fillStipple = None;
    arcPtr->activeFillStipple = None;
    arcPtr->disabledFillStipple = None;
    arcPtr->style = PIESLICE_STYLE;
    arcPtr->fillGC = NULL;
    arcPtr->height = 0;

    /*
     * Process the arguments to fill in the item record.
     */

    for (i = 1; i < objc; i++) {
	const char *arg = Tcl_GetString(objv[i]);

	if ((arg[0] == '-') && (arg[1] >= 'a') && (arg[1] <= 'z')) {
	    break;
	}
    }
    if (ArcCoords(interp, canvas, itemPtr, i, objv) != TCL_OK) {
	goto error;
    }
    if (ConfigureArc(interp, canvas, itemPtr, objc-i, objv+i, 0) == TCL_OK) {
	return TCL_OK;
    }

  error:
    DeleteArc(canvas, itemPtr, Tk_Display(Tk_CanvasTkwin(canvas)));
    return TCL_ERROR;
}

/*
 *--------------------------------------------------------------
 *
 * ArcCoords --
 *
 *	This function is invoked to process the "coords" widget command on
 *	arcs. See the user documentation for details on what it does.
 *
 * Results:
 *	Returns TCL_OK or TCL_ERROR, and sets the interp's result.
 *
 * Side effects:
 *	The coordinates for the given item may be changed.
 *
 *--------------------------------------------------------------
 */

static int
ArcCoords(
    Tcl_Interp *interp,		/* Used for error reporting. */
    Tk_Canvas canvas,		/* Canvas containing item. */
    Tk_Item *itemPtr,		/* Item whose coordinates are to be read or
				 * modified. */
    int objc,			/* Number of coordinates supplied in objv. */
    Tcl_Obj *const objv[])	/* Array of coordinates: x1, y1, x2, y2, ... */
{
    ArcItem *arcPtr = (ArcItem *) itemPtr;

    if (objc == 0) {
	Tcl_Obj *objs[4];

	objs[0] = Tcl_NewDoubleObj(arcPtr->bbox[0]);
	objs[1] = Tcl_NewDoubleObj(arcPtr->bbox[1]);
	objs[2] = Tcl_NewDoubleObj(arcPtr->bbox[2]);
	objs[3] = Tcl_NewDoubleObj(arcPtr->bbox[3]);
	Tcl_SetObjResult(interp, Tcl_NewListObj(4, objs));
    } else if ((objc == 1) || (objc == 4)) {
	if (objc == 1) {
	    if (Tcl_ListObjGetElements(interp, objv[0], &objc,
		    (Tcl_Obj ***) &objv) != TCL_OK) {
		return TCL_ERROR;
	    } else if (objc != 4) {
		Tcl_SetObjResult(interp, Tcl_ObjPrintf(
			"wrong # coordinates: expected 4, got %d", objc));
		Tcl_SetErrorCode(interp, "TK", "CANVAS", "COORDS", "ARC",
			NULL);
		return TCL_ERROR;
	    }
	}
	if ((Tk_CanvasGetCoordFromObj(interp, canvas, objv[0],
 		    &arcPtr->bbox[0]) != TCL_OK)
		|| (Tk_CanvasGetCoordFromObj(interp, canvas, objv[1],
		    &arcPtr->bbox[1]) != TCL_OK)
		|| (Tk_CanvasGetCoordFromObj(interp, canvas, objv[2],
			&arcPtr->bbox[2]) != TCL_OK)
		|| (Tk_CanvasGetCoordFromObj(interp, canvas, objv[3],
			&arcPtr->bbox[3]) != TCL_OK)) {
	    return TCL_ERROR;
	}

	/*
	 * Store bbox as start and end points so they can be used if either
	 * radius or height is specified.
	 */

	arcPtr->startPoint[0] = arcPtr->bbox[0];
	arcPtr->startPoint[1] = arcPtr->bbox[1];
	arcPtr->endPoint[0] = arcPtr->bbox[2];
	arcPtr->endPoint[1] = arcPtr->bbox[3];

	ComputeArcBbox(canvas, arcPtr);
    } else {
	Tcl_SetObjResult(interp, Tcl_ObjPrintf(
		"wrong # coordinates: expected 0 or 4, got %d", objc));
	Tcl_SetErrorCode(interp, "TK", "CANVAS", "COORDS", "ARC", NULL);
	return TCL_ERROR;
    }
    return TCL_OK;
}

/*
 *--------------------------------------------------------------
 *
 * ConfigureArc --
 *
 *	This function is invoked to configure various aspects of a arc item,
 *	such as its outline and fill colors.
 *
 * Results:
 *	A standard Tcl result code. If an error occurs, then an error message
 *	is left in the interp's result.
 *
 * Side effects:
 *	Configuration information, such as colors and stipple patterns, may be
 *	set for itemPtr.
 *
 *--------------------------------------------------------------
 */

static int
ConfigureArc(
    Tcl_Interp *interp,		/* Used for error reporting. */
    Tk_Canvas canvas,		/* Canvas containing itemPtr. */
    Tk_Item *itemPtr,		/* Arc item to reconfigure. */
    int objc,			/* Number of elements in objv. */
    Tcl_Obj *const objv[],	/* Arguments describing things to configure. */
    int flags)			/* Flags to pass to Tk_ConfigureWidget. */
{
    ArcItem *arcPtr = (ArcItem *) itemPtr;
    XGCValues gcValues;
    GC newGC;
    unsigned long mask;
    int i;
    Tk_Window tkwin;
    Tk_TSOffset *tsoffset;
    XColor *color;
    Pixmap stipple;
    Tk_State state;

    tkwin = Tk_CanvasTkwin(canvas);
    if (TCL_OK != Tk_ConfigureWidget(interp, tkwin, configSpecs, objc,
	    (const char **) objv, (char *) arcPtr, flags|TK_CONFIG_OBJS)) {
	return TCL_ERROR;
    }

    state = itemPtr->state;

    /*
     * A few of the options require additional processing, such as style and
     * graphics contexts.
     */

    if (arcPtr->outline.activeWidth > arcPtr->outline.width ||
	    arcPtr->outline.activeDash.number != 0 ||
	    arcPtr->outline.activeColor != NULL ||
	    arcPtr->outline.activeStipple != None ||
	    arcPtr->activeFillColor != NULL ||
	    arcPtr->activeFillStipple != None) {
	itemPtr->redraw_flags |= TK_ITEM_STATE_DEPENDANT;
    } else {
	itemPtr->redraw_flags &= ~TK_ITEM_STATE_DEPENDANT;
    }

    /*
     * Override the start and extent if the height is given.
     */

    ComputeArcParametersFromHeight(arcPtr);

    ComputeArcBbox(canvas, arcPtr);

    i = (int) (arcPtr->start/360.0);
    arcPtr->start -= i*360.0;
    if (arcPtr->start < 0) {
	arcPtr->start += 360.0;
    }
    i = (int) (arcPtr->extent/360.0);
    arcPtr->extent -= i*360.0;

    tsoffset = &arcPtr->outline.tsoffset;
    flags = tsoffset->flags;
    if (flags & TK_OFFSET_LEFT) {
	tsoffset->xoffset = (int) (arcPtr->bbox[0] + 0.5);
    } else if (flags & TK_OFFSET_CENTER) {
	tsoffset->xoffset = (int) ((arcPtr->bbox[0]+arcPtr->bbox[2]+1)/2);
    } else if (flags & TK_OFFSET_RIGHT) {
	tsoffset->xoffset = (int) (arcPtr->bbox[2] + 0.5);
    }
    if (flags & TK_OFFSET_TOP) {
	tsoffset->yoffset = (int) (arcPtr->bbox[1] + 0.5);
    } else if (flags & TK_OFFSET_MIDDLE) {
	tsoffset->yoffset = (int) ((arcPtr->bbox[1]+arcPtr->bbox[3]+1)/2);
    } else if (flags & TK_OFFSET_BOTTOM) {
	tsoffset->yoffset = (int) (arcPtr->bbox[2] + 0.5);
    }

    mask = Tk_ConfigOutlineGC(&gcValues, canvas, itemPtr, &(arcPtr->outline));
    if (mask) {
	gcValues.cap_style = CapButt;
	mask |= GCCapStyle;
	newGC = Tk_GetGC(tkwin, mask, &gcValues);
    } else {
	newGC = NULL;
    }
    if (arcPtr->outline.gc != NULL) {
	Tk_FreeGC(Tk_Display(tkwin), arcPtr->outline.gc);
    }
    arcPtr->outline.gc = newGC;

    if(state == TK_STATE_NULL) {
	state = Canvas(canvas)->canvas_state;
    }
    if (state==TK_STATE_HIDDEN) {
	ComputeArcBbox(canvas, arcPtr);
	return TCL_OK;
    }

    color = arcPtr->fillColor;
    stipple = arcPtr->fillStipple;
    if (Canvas(canvas)->currentItemPtr == itemPtr) {
	if (arcPtr->activeFillColor!=NULL) {
	    color = arcPtr->activeFillColor;
	}
	if (arcPtr->activeFillStipple!=None) {
	    stipple = arcPtr->activeFillStipple;
	}
    } else if (state==TK_STATE_DISABLED) {
	if (arcPtr->disabledFillColor!=NULL) {
	    color = arcPtr->disabledFillColor;
	}
	if (arcPtr->disabledFillStipple!=None) {
	    stipple = arcPtr->disabledFillStipple;
	}
    }

    if (arcPtr->style == ARC_STYLE) {
	newGC = NULL;
    } else if (color == NULL) {
	newGC = NULL;
    } else {
	gcValues.foreground = color->pixel;
	if (arcPtr->style == CHORD_STYLE) {
	    gcValues.arc_mode = ArcChord;
	} else {
	    gcValues.arc_mode = ArcPieSlice;
	}
	mask = GCForeground|GCArcMode;
	if (stipple != None) {
	    gcValues.stipple = stipple;
	    gcValues.fill_style = FillStippled;
	    mask |= GCStipple|GCFillStyle;
	}
	newGC = Tk_GetGC(tkwin, mask, &gcValues);
    }
    if (arcPtr->fillGC != NULL) {
	Tk_FreeGC(Tk_Display(tkwin), arcPtr->fillGC);
    }
    arcPtr->fillGC = newGC;

    tsoffset = &arcPtr->tsoffset;
    flags = tsoffset->flags;
    if (flags & TK_OFFSET_LEFT) {
	tsoffset->xoffset = (int) (arcPtr->bbox[0] + 0.5);
    } else if (flags & TK_OFFSET_CENTER) {
	tsoffset->xoffset = (int) ((arcPtr->bbox[0]+arcPtr->bbox[2]+1)/2);
    } else if (flags & TK_OFFSET_RIGHT) {
	tsoffset->xoffset = (int) (arcPtr->bbox[2] + 0.5);
    }
    if (flags & TK_OFFSET_TOP) {
	tsoffset->yoffset = (int) (arcPtr->bbox[1] + 0.5);
    } else if (flags & TK_OFFSET_MIDDLE) {
	tsoffset->yoffset = (int) ((arcPtr->bbox[1]+arcPtr->bbox[3]+1)/2);
    } else if (flags & TK_OFFSET_BOTTOM) {
	tsoffset->yoffset = (int) (arcPtr->bbox[3] + 0.5);
    }

    ComputeArcBbox(canvas, arcPtr);
    return TCL_OK;
}

/*
 *--------------------------------------------------------------
 *
 * ComputeArcParametersFromHeight --
 *
 *	This function calculates the arc parameters given start-point,
 *	end-point and height (!= 0).
 *
 * Results:
 *	None.
 *
 * Side effects:
 *	The height parameter is set to 0 on exit.
 *
 *--------------------------------------------------------------
 */

static void
ComputeArcParametersFromHeight(
    ArcItem* arcPtr)
{
    double chordLen, chordDir[2], chordCen[2], arcCen[2], d, radToDeg, radius;

    /*
     * Do nothing if no height has been specified.
     */

    if (arcPtr->height == 0)
        return;

    /*
     * Calculate the chord length, return early if it is too small.
     */

    chordLen = hypot(arcPtr->endPoint[1] - arcPtr->startPoint[1],
	    arcPtr->startPoint[0] - arcPtr->endPoint[0]);

    if (chordLen < DBL_EPSILON) {
        arcPtr->start = arcPtr->extent = arcPtr->height = 0;
        return;
    }

    chordDir[0] = (arcPtr->endPoint[0] - arcPtr->startPoint[0]) / chordLen;
    chordDir[1] = (arcPtr->endPoint[1] - arcPtr->startPoint[1]) / chordLen;
    chordCen[0] = (arcPtr->startPoint[0] + arcPtr->endPoint[0]) / 2;
    chordCen[1] = (arcPtr->startPoint[1] + arcPtr->endPoint[1]) / 2;

    /*
     * Calculate the radius (assumes height != 0).
     */

    radius = (4*pow(arcPtr->height, 2) + pow(chordLen, 2))
	    / (8 * arcPtr->height);

    /*
     * The arc centre.
     */

    d = radius - arcPtr->height;
    arcCen[0] = chordCen[0] - d * chordDir[1];
    arcCen[1] = chordCen[1] + d * chordDir[0];

    /*
     * The arc start and span. Angles are negated because the coordinate
     * system is left-handed.
     */

    radToDeg = 45 / atan(1);
    arcPtr->start = atan2(arcCen[1] - arcPtr->startPoint[1],
	    arcPtr->startPoint[0] - arcCen[0]) * radToDeg;
    arcPtr->extent = -2 * asin(chordLen / (2 * radius)) * radToDeg;

    /*
     * Handle spans > 180.
     */

    if (fabs(2 * arcPtr->height) > chordLen) {
	arcPtr->extent = arcPtr->extent > 0 ? (360 - arcPtr->extent)
		: -(360 + arcPtr->extent);
    }

    /*
     * Create the bounding box.
     */

    arcPtr->bbox[0] = arcCen[0] - radius;
    arcPtr->bbox[1] = arcCen[1] - radius;
    arcPtr->bbox[2] = arcCen[0] + radius;
    arcPtr->bbox[3] = arcCen[1] + radius;

    /*
     * Set the height to 0 so that itemcget -height returns 0.
     */

    arcPtr->height = 0;
}

/*
 *--------------------------------------------------------------
 *
 * DeleteArc --
 *
 *	This function is called to clean up the data structure associated with
 *	an arc item.
 *
 * Results:
 *	None.
 *
 * Side effects:
 *	Resources associated with itemPtr are released.
 *
 *--------------------------------------------------------------
 */

static void
DeleteArc(
    Tk_Canvas canvas,		/* Info about overall canvas. */
    Tk_Item *itemPtr,		/* Item that is being deleted. */
    Display *display)		/* Display containing window for canvas. */
{
    ArcItem *arcPtr = (ArcItem *) itemPtr;

    Tk_DeleteOutline(display, &(arcPtr->outline));
    if (arcPtr->numOutlinePoints != 0) {
	ckfree(arcPtr->outlinePtr);
    }
    if (arcPtr->fillColor != NULL) {
	Tk_FreeColor(arcPtr->fillColor);
    }
    if (arcPtr->activeFillColor != NULL) {
	Tk_FreeColor(arcPtr->activeFillColor);
    }
    if (arcPtr->disabledFillColor != NULL) {
	Tk_FreeColor(arcPtr->disabledFillColor);
    }
    if (arcPtr->fillStipple != None) {
	Tk_FreeBitmap(display, arcPtr->fillStipple);
    }
    if (arcPtr->activeFillStipple != None) {
	Tk_FreeBitmap(display, arcPtr->activeFillStipple);
    }
    if (arcPtr->disabledFillStipple != None) {
	Tk_FreeBitmap(display, arcPtr->disabledFillStipple);
    }
    if (arcPtr->fillGC != NULL) {
	Tk_FreeGC(display, arcPtr->fillGC);
    }
}

/*
 *--------------------------------------------------------------
 *
 * ComputeArcBbox --
 *
 *	This function is invoked to compute the bounding box of all the pixels
 *	that may be drawn as part of an arc.
 *
 * Results:
 *	None.
 *
 * Side effects:
 *	The fields x1, y1, x2, and y2 are updated in the header for itemPtr.
 *
 *--------------------------------------------------------------
 */

	/* ARGSUSED */
static void
ComputeArcBbox(
    Tk_Canvas canvas,		/* Canvas that contains item. */
    ArcItem *arcPtr)		/* Item whose bbox is to be recomputed. */
{
    double tmp, center[2], point[2];
    double width;
    Tk_State state = arcPtr->header.state;

    if (state == TK_STATE_NULL) {
	state = Canvas(canvas)->canvas_state;
    }

    width = arcPtr->outline.width;
    if (width < 1.0) {
	width = 1.0;
    }
    if (state==TK_STATE_HIDDEN) {
	arcPtr->header.x1 = arcPtr->header.x2 =
	arcPtr->header.y1 = arcPtr->header.y2 = -1;
	return;
    } else if (Canvas(canvas)->currentItemPtr == (Tk_Item *) arcPtr) {
	if (arcPtr->outline.activeWidth>width) {
	    width = arcPtr->outline.activeWidth;
	}
    } else if (state==TK_STATE_DISABLED) {
	if (arcPtr->outline.disabledWidth>0) {
	    width = arcPtr->outline.disabledWidth;
	}
    }

    /*
     * Make sure that the first coordinates are the lowest ones.
     */

    if (arcPtr->bbox[1] > arcPtr->bbox[3]) {
	double tmp = arcPtr->bbox[3];

	arcPtr->bbox[3] = arcPtr->bbox[1];
	arcPtr->bbox[1] = tmp;
    }
    if (arcPtr->bbox[0] > arcPtr->bbox[2]) {
	double tmp = arcPtr->bbox[2];

	arcPtr->bbox[2] = arcPtr->bbox[0];
	arcPtr->bbox[0] = tmp;
    }

    ComputeArcOutline(canvas,arcPtr);

    /*
     * To compute the bounding box, start with the bbox formed by the two
     * endpoints of the arc. Then add in the center of the arc's oval (if
     * relevant) and the 3-o'clock, 6-o'clock, 9-o'clock, and 12-o'clock
     * positions, if they are relevant.
     */

    arcPtr->header.x1 = arcPtr->header.x2 = (int) arcPtr->center1[0];
    arcPtr->header.y1 = arcPtr->header.y2 = (int) arcPtr->center1[1];
    TkIncludePoint((Tk_Item *) arcPtr, arcPtr->center2);
    center[0] = (arcPtr->bbox[0] + arcPtr->bbox[2])/2;
    center[1] = (arcPtr->bbox[1] + arcPtr->bbox[3])/2;
    if (arcPtr->style == PIESLICE_STYLE) {
	TkIncludePoint((Tk_Item *) arcPtr, center);
    }

    tmp = -arcPtr->start;
    if (tmp < 0) {
	tmp += 360.0;
    }
    if ((tmp < arcPtr->extent) || ((tmp-360) > arcPtr->extent)) {
	point[0] = arcPtr->bbox[2];
	point[1] = center[1];
	TkIncludePoint((Tk_Item *) arcPtr, point);
    }
    tmp = 90.0 - arcPtr->start;
    if (tmp < 0) {
	tmp += 360.0;
    }
    if ((tmp < arcPtr->extent) || ((tmp-360) > arcPtr->extent)) {
	point[0] = center[0];
	point[1] = arcPtr->bbox[1];
	TkIncludePoint((Tk_Item *) arcPtr, point);
    }
    tmp = 180.0 - arcPtr->start;
    if (tmp < 0) {
	tmp += 360.0;
    }
    if ((tmp < arcPtr->extent) || ((tmp-360) > arcPtr->extent)) {
	point[0] = arcPtr->bbox[0];
	point[1] = center[1];
	TkIncludePoint((Tk_Item *) arcPtr, point);
    }
    tmp = 270.0 - arcPtr->start;
    if (tmp < 0) {
	tmp += 360.0;
    }
    if ((tmp < arcPtr->extent) || ((tmp-360) > arcPtr->extent)) {
	point[0] = center[0];
	point[1] = arcPtr->bbox[3];
	TkIncludePoint((Tk_Item *) arcPtr, point);
    }

    /*
     * Lastly, expand by the width of the arc (if the arc's outline is being
     * drawn) and add one extra pixel just for safety.
     */

    if (arcPtr->outline.gc == NULL) {
	tmp = 1;
    } else {
	tmp = (int) ((width + 1.0)/2.0 + 1);
    }
    arcPtr->header.x1 -= (int) tmp;
    arcPtr->header.y1 -= (int) tmp;
    arcPtr->header.x2 += (int) tmp;
    arcPtr->header.y2 += (int) tmp;
}

/*
 *--------------------------------------------------------------
 *
 * DisplayArc --
 *
 *	This function is invoked to draw an arc item in a given drawable.
 *
 * Results:
 *	None.
 *
 * Side effects:
 *	ItemPtr is drawn in drawable using the transformation information in
 *	canvas.
 *
 *--------------------------------------------------------------
 */

static void
DisplayArc(
    Tk_Canvas canvas,		/* Canvas that contains item. */
    Tk_Item *itemPtr,		/* Item to be displayed. */
    Display *display,		/* Display on which to draw item. */
    Drawable drawable,		/* Pixmap or window in which to draw item. */
    int x, int y,		/* Describes region of canvas that must be */
    int width, int height)	/* redisplayed (not used). */
{
    ArcItem *arcPtr = (ArcItem *) itemPtr;
    short x1, y1, x2, y2;
    int start, extent, dashnumber;
    double lineWidth;
    Tk_State state = itemPtr->state;
    Pixmap stipple;

    if (state == TK_STATE_NULL) {
	state = Canvas(canvas)->canvas_state;
    }
    lineWidth = arcPtr->outline.width;
    if (lineWidth < 1.0) {
	lineWidth = 1.0;
    }
    dashnumber = arcPtr->outline.dash.number;
    stipple = arcPtr->fillStipple;
    if (Canvas(canvas)->currentItemPtr == itemPtr) {
	if (arcPtr->outline.activeWidth>lineWidth) {
	    lineWidth = arcPtr->outline.activeWidth;
	}
	if (arcPtr->outline.activeDash.number != 0) {
	    dashnumber = arcPtr->outline.activeDash.number;
	}
	if (arcPtr->activeFillStipple != None) {
	    stipple = arcPtr->activeFillStipple;
	}
    } else if (state == TK_STATE_DISABLED) {
	if (arcPtr->outline.disabledWidth > 0) {
	    lineWidth = arcPtr->outline.disabledWidth;
	}
	if (arcPtr->outline.disabledDash.number != 0) {
	    dashnumber = arcPtr->outline.disabledDash.number;
	}
	if (arcPtr->disabledFillStipple != None) {
	    stipple = arcPtr->disabledFillStipple;
	}
    }

    /*
     * Compute the screen coordinates of the bounding box for the item, plus
     * integer values for the angles.
     */

    Tk_CanvasDrawableCoords(canvas, arcPtr->bbox[0], arcPtr->bbox[1],
	    &x1, &y1);
    Tk_CanvasDrawableCoords(canvas, arcPtr->bbox[2], arcPtr->bbox[3],
	    &x2, &y2);
    if (x2 <= x1) {
	x2 = x1+1;
    }
    if (y2 <= y1) {
	y2 = y1+1;
    }
    start = (int) ((64*arcPtr->start) + 0.5);
    extent = (int) ((64*arcPtr->extent) + 0.5);

    /*
     * Display filled arc first (if wanted), then outline. If the extent is
     * zero then don't invoke XFillArc or XDrawArc, since this causes some
     * window servers to crash and should be a no-op anyway.
     */

    if ((arcPtr->fillGC != NULL) && (extent != 0)) {
	if (stipple != None) {
	    int w = 0;
	    int h = 0;
	    Tk_TSOffset *tsoffset = &arcPtr->tsoffset;
	    int flags = tsoffset->flags;

	    if (flags & (TK_OFFSET_CENTER|TK_OFFSET_MIDDLE)) {
		Tk_SizeOfBitmap(display, stipple, &w, &h);
		if (flags & TK_OFFSET_CENTER) {
		    w /= 2;
		} else {
		    w = 0;
		}
		if (flags & TK_OFFSET_MIDDLE) {
		    h /= 2;
		} else {
		    h = 0;
		}
	    }
	    tsoffset->xoffset -= w;
	    tsoffset->yoffset -= h;
	    Tk_CanvasSetOffset(canvas, arcPtr->fillGC, tsoffset);
	    if (tsoffset) {
		tsoffset->xoffset += w;
		tsoffset->yoffset += h;
	    }
	}
	XFillArc(display, drawable, arcPtr->fillGC, x1, y1, (unsigned) (x2-x1),
		(unsigned) (y2-y1), start, extent);
	if (stipple != None) {
	    XSetTSOrigin(display, arcPtr->fillGC, 0, 0);
	}
    }
    if (arcPtr->outline.gc != NULL) {
	Tk_ChangeOutlineGC(canvas, itemPtr, &(arcPtr->outline));

	if (extent != 0) {
	    XDrawArc(display, drawable, arcPtr->outline.gc, x1, y1,
		    (unsigned) (x2-x1), (unsigned) (y2-y1), start, extent);
	}

	/*
	 * If the outline width is very thin, don't use polygons to draw the
	 * linear parts of the outline (this often results in nothing being
	 * displayed); just draw lines instead. The same is done if the
	 * outline is dashed, because then polygons don't work.
	 */

	if (lineWidth < 1.5 || dashnumber != 0) {
	    Tk_CanvasDrawableCoords(canvas, arcPtr->center1[0],
		    arcPtr->center1[1], &x1, &y1);
	    Tk_CanvasDrawableCoords(canvas, arcPtr->center2[0],
		    arcPtr->center2[1], &x2, &y2);

	    if (arcPtr->style == CHORD_STYLE) {
		XDrawLine(display, drawable, arcPtr->outline.gc,
			x1, y1, x2, y2);
	    } else if (arcPtr->style == PIESLICE_STYLE) {
		short cx, cy;

		Tk_CanvasDrawableCoords(canvas,
			(arcPtr->bbox[0] + arcPtr->bbox[2])/2.0,
			(arcPtr->bbox[1] + arcPtr->bbox[3])/2.0, &cx, &cy);
		XDrawLine(display, drawable, arcPtr->outline.gc,
			cx, cy, x1, y1);
		XDrawLine(display, drawable, arcPtr->outline.gc,
			cx, cy, x2, y2);
	    }
	} else {
	    if (arcPtr->style == CHORD_STYLE) {
		TkFillPolygon(canvas, arcPtr->outlinePtr, CHORD_OUTLINE_PTS,
			display, drawable, arcPtr->outline.gc, NULL);
	    } else if (arcPtr->style == PIESLICE_STYLE) {
		TkFillPolygon(canvas, arcPtr->outlinePtr, PIE_OUTLINE1_PTS,
			display, drawable, arcPtr->outline.gc, NULL);
		TkFillPolygon(canvas, arcPtr->outlinePtr + 2*PIE_OUTLINE1_PTS,
			PIE_OUTLINE2_PTS, display, drawable,
			arcPtr->outline.gc, NULL);
	    }
	}

	Tk_ResetOutlineGC(canvas, itemPtr, &(arcPtr->outline));
    }
}

/*
 *--------------------------------------------------------------
 *
 * ArcToPoint --
 *
 *	Computes the distance from a given point to a given arc, in canvas
 *	units.
 *
 * Results:
 *	The return value is 0 if the point whose x and y coordinates are
 *	coordPtr[0] and coordPtr[1] is inside the arc. If the point isn't
 *	inside the arc then the return value is the distance from the point to
 *	the arc. If itemPtr is filled, then anywhere in the interior is
 *	considered "inside"; if itemPtr isn't filled, then "inside" means only
 *	the area occupied by the outline.
 *
 * Side effects:
 *	None.
 *
 *--------------------------------------------------------------
 */

	/* ARGSUSED */
static double
ArcToPoint(
    Tk_Canvas canvas,		/* Canvas containing item. */
    Tk_Item *itemPtr,		/* Item to check against point. */
    double *pointPtr)		/* Pointer to x and y coordinates. */
{
    ArcItem *arcPtr = (ArcItem *) itemPtr;
    double vertex[2], pointAngle, diff, dist, newDist;
    double poly[8], polyDist, width, t1, t2;
    int filled, angleInRange;
    Tk_State state = itemPtr->state;

    if (state == TK_STATE_NULL) {
	state = Canvas(canvas)->canvas_state;
    }

    width = (double) arcPtr->outline.width;
    if (Canvas(canvas)->currentItemPtr == itemPtr) {
	if (arcPtr->outline.activeWidth>width) {
	    width = (double) arcPtr->outline.activeWidth;
	}
    } else if (state == TK_STATE_DISABLED) {
	if (arcPtr->outline.disabledWidth>0) {
	    width = (double) arcPtr->outline.disabledWidth;
	}
    }

    /*
     * See if the point is within the angular range of the arc. Remember, X
     * angles are backwards from the way we'd normally think of them. Also,
     * compensate for any eccentricity of the oval.
     */

    vertex[0] = (arcPtr->bbox[0] + arcPtr->bbox[2])/2.0;
    vertex[1] = (arcPtr->bbox[1] + arcPtr->bbox[3])/2.0;
    t1 = arcPtr->bbox[3] - arcPtr->bbox[1];
    if (t1 != 0.0) {
	t1 = (pointPtr[1] - vertex[1]) / t1;
    }
    t2 = arcPtr->bbox[2] - arcPtr->bbox[0];
    if (t2 != 0.0) {
	t2 = (pointPtr[0] - vertex[0]) / t2;
    }
    if ((t1 == 0.0) && (t2 == 0.0)) {
	pointAngle = 0;
    } else {
	pointAngle = -atan2(t1, t2)*180/PI;
    }
    diff = pointAngle - arcPtr->start;
    diff -= ((int) (diff/360.0) * 360.0);
    if (diff < 0) {
	diff += 360.0;
    }
    angleInRange = (diff <= arcPtr->extent) ||
	    ((arcPtr->extent < 0) && ((diff - 360.0) >= arcPtr->extent));

    /*
     * Now perform different tests depending on what kind of arc we're dealing
     * with.
     */

    if (arcPtr->style == ARC_STYLE) {
	if (angleInRange) {
	    return TkOvalToPoint(arcPtr->bbox, width, 0, pointPtr);
	}
	dist = hypot(pointPtr[0] - arcPtr->center1[0],
		pointPtr[1] - arcPtr->center1[1]);
	newDist = hypot(pointPtr[0] - arcPtr->center2[0],
		pointPtr[1] - arcPtr->center2[1]);
	if (newDist < dist) {
	    return newDist;
	}
	return dist;
    }

    if ((arcPtr->fillGC != NULL) || (arcPtr->outline.gc == NULL)) {
	filled = 1;
    } else {
	filled = 0;
    }
    if (arcPtr->outline.gc == NULL) {
	width = 0.0;
    }

    if (arcPtr->style == PIESLICE_STYLE) {
	if (width > 1.0) {
	    dist = TkPolygonToPoint(arcPtr->outlinePtr, PIE_OUTLINE1_PTS,
		    pointPtr);
	    newDist = TkPolygonToPoint(arcPtr->outlinePtr + 2*PIE_OUTLINE1_PTS,
		    PIE_OUTLINE2_PTS, pointPtr);
	} else {
	    dist = TkLineToPoint(vertex, arcPtr->center1, pointPtr);
	    newDist = TkLineToPoint(vertex, arcPtr->center2, pointPtr);
	}
	if (newDist < dist) {
	    dist = newDist;
	}
	if (angleInRange) {
	    newDist = TkOvalToPoint(arcPtr->bbox, width, filled, pointPtr);
	    if (newDist < dist) {
		dist = newDist;
	    }
	}
	return dist;
    }

    /*
     * This is a chord-style arc. We have to deal specially with the
     * triangular piece that represents the difference between a chord-style
     * arc and a pie-slice arc (for small angles this piece is excluded here
     * where it would be included for pie slices; for large angles the piece
     * is included here but would be excluded for pie slices).
     */

    if (width > 1.0) {
	dist = TkPolygonToPoint(arcPtr->outlinePtr, CHORD_OUTLINE_PTS,
		pointPtr);
    } else {
	dist = TkLineToPoint(arcPtr->center1, arcPtr->center2, pointPtr);
    }
    poly[0] = poly[6] = vertex[0];
    poly[1] = poly[7] = vertex[1];
    poly[2] = arcPtr->center1[0];
    poly[3] = arcPtr->center1[1];
    poly[4] = arcPtr->center2[0];
    poly[5] = arcPtr->center2[1];
    polyDist = TkPolygonToPoint(poly, 4, pointPtr);
    if (angleInRange) {
	if ((arcPtr->extent < -180.0) || (arcPtr->extent > 180.0)
		|| (polyDist > 0.0)) {
	    newDist = TkOvalToPoint(arcPtr->bbox, width, filled, pointPtr);
	    if (newDist < dist) {
		dist = newDist;
	    }
	}
    } else {
	if ((arcPtr->extent < -180.0) || (arcPtr->extent > 180.0)) {
	    if (filled && (polyDist < dist)) {
		dist = polyDist;
	    }
	}
    }
    return dist;
}

/*
 *--------------------------------------------------------------
 *
 * ArcToArea --
 *
 *	This function is called to determine whether an item lies entirely
 *	inside, entirely outside, or overlapping a given area.
 *
 * Results:
 *	-1 is returned if the item is entirely outside the area given by
 *	rectPtr, 0 if it overlaps, and 1 if it is entirely inside the given
 *	area.
 *
 * Side effects:
 *	None.
 *
 *--------------------------------------------------------------
 */

	/* ARGSUSED */
static int
ArcToArea(
    Tk_Canvas canvas,		/* Canvas containing item. */
    Tk_Item *itemPtr,		/* Item to check against arc. */
    double *rectPtr)		/* Pointer to array of four coordinates (x1,
				 * y1, x2, y2) describing rectangular area. */
{
    ArcItem *arcPtr = (ArcItem *) itemPtr;
    double rx, ry;		/* Radii for transformed oval: these define an
				 * oval centered at the origin. */
    double tRect[4];		/* Transformed version of x1, y1, x2, y2, for
				 * coord. system where arc is centered on the
				 * origin. */
    double center[2], width, angle, tmp;
    double points[20], *pointPtr;
    int numPoints, filled;
    int inside;			/* Non-zero means every test so far suggests
				 * that arc is inside rectangle. 0 means every
				 * test so far shows arc to be outside of
				 * rectangle. */
    int newInside;
    Tk_State state = itemPtr->state;

    if(state == TK_STATE_NULL) {
	state = Canvas(canvas)->canvas_state;
    }
    width = (double) arcPtr->outline.width;
    if (Canvas(canvas)->currentItemPtr == itemPtr) {
	if (arcPtr->outline.activeWidth>width) {
	    width = (double) arcPtr->outline.activeWidth;
	}
    } else if (state == TK_STATE_DISABLED) {
	if (arcPtr->outline.disabledWidth>0) {
	    width = (double) arcPtr->outline.disabledWidth;
	}
    }

    if ((arcPtr->fillGC != NULL) || (arcPtr->outline.gc == NULL)) {
	filled = 1;
    } else {
	filled = 0;
    }
    if (arcPtr->outline.gc == NULL) {
	width = 0.0;
    }

    /*
     * Transform both the arc and the rectangle so that the arc's oval is
     * centered on the origin.
     */

    center[0] = (arcPtr->bbox[0] + arcPtr->bbox[2])/2.0;
    center[1] = (arcPtr->bbox[1] + arcPtr->bbox[3])/2.0;
    tRect[0] = rectPtr[0] - center[0];
    tRect[1] = rectPtr[1] - center[1];
    tRect[2] = rectPtr[2] - center[0];
    tRect[3] = rectPtr[3] - center[1];
    rx = arcPtr->bbox[2] - center[0] + width/2.0;
    ry = arcPtr->bbox[3] - center[1] + width/2.0;

    /*
     * Find the extreme points of the arc and see whether these are all inside
     * the rectangle (in which case we're done), partly in and partly out (in
     * which case we're done), or all outside (in which case we have more work
     * to do). The extreme points include the following, which are checked in
     * order:
     *
     * 1. The outside points of the arc, corresponding to start and extent.
     * 2. The center of the arc (but only in pie-slice mode).
     * 3. The 12, 3, 6, and 9-o'clock positions (but only if the arc includes
     *	  those angles).
     */

    pointPtr = points;
    angle = -arcPtr->start*(PI/180.0);
    pointPtr[0] = rx*cos(angle);
    pointPtr[1] = ry*sin(angle);
    angle += -arcPtr->extent*(PI/180.0);
    pointPtr[2] = rx*cos(angle);
    pointPtr[3] = ry*sin(angle);
    numPoints = 2;
    pointPtr += 4;

    if ((arcPtr->style == PIESLICE_STYLE) && (arcPtr->extent < 180.0)) {
	pointPtr[0] = 0.0;
	pointPtr[1] = 0.0;
	numPoints++;
	pointPtr += 2;
    }

    tmp = -arcPtr->start;
    if (tmp < 0) {
	tmp += 360.0;
    }
    if ((tmp < arcPtr->extent) || ((tmp-360) > arcPtr->extent)) {
	pointPtr[0] = rx;
	pointPtr[1] = 0.0;
	numPoints++;
	pointPtr += 2;
    }
    tmp = 90.0 - arcPtr->start;
    if (tmp < 0) {
	tmp += 360.0;
    }
    if ((tmp < arcPtr->extent) || ((tmp-360) > arcPtr->extent)) {
	pointPtr[0] = 0.0;
	pointPtr[1] = -ry;
	numPoints++;
	pointPtr += 2;
    }
    tmp = 180.0 - arcPtr->start;
    if (tmp < 0) {
	tmp += 360.0;
    }
    if ((tmp < arcPtr->extent) || ((tmp-360) > arcPtr->extent)) {
	pointPtr[0] = -rx;
	pointPtr[1] = 0.0;
	numPoints++;
	pointPtr += 2;
    }
    tmp = 270.0 - arcPtr->start;
    if (tmp < 0) {
	tmp += 360.0;
    }
    if ((tmp < arcPtr->extent) || ((tmp-360) > arcPtr->extent)) {
	pointPtr[0] = 0.0;
	pointPtr[1] = ry;
	numPoints++;
    }

    /*
     * Now that we've located the extreme points, loop through them all to see
     * which are inside the rectangle.
     */

    inside = (points[0] > tRect[0]) && (points[0] < tRect[2])
	    && (points[1] > tRect[1]) && (points[1] < tRect[3]);
    for (pointPtr = points+2; numPoints > 1; pointPtr += 2, numPoints--) {
	newInside = (pointPtr[0] > tRect[0]) && (pointPtr[0] < tRect[2])
		&& (pointPtr[1] > tRect[1]) && (pointPtr[1] < tRect[3]);
	if (newInside != inside) {
	    return 0;
	}
    }

    if (inside) {
	return 1;
    }

    /*
     * So far, oval appears to be outside rectangle, but can't yet tell for
     * sure. Next, test each of the four sides of the rectangle against the
     * bounding region for the arc. If any intersections are found, then
     * return "overlapping". First, test against the polygon(s) forming the
     * sides of a chord or pie-slice.
     */

    if (arcPtr->style == PIESLICE_STYLE) {
	if (width >= 1.0) {
	    if (TkPolygonToArea(arcPtr->outlinePtr, PIE_OUTLINE1_PTS,
		    rectPtr) != -1) {
		return 0;
	    }
	    if (TkPolygonToArea(arcPtr->outlinePtr + 2*PIE_OUTLINE1_PTS,
		    PIE_OUTLINE2_PTS, rectPtr) != -1) {
		return 0;
	    }
	} else {
	    if ((TkLineToArea(center, arcPtr->center1, rectPtr) != -1) ||
		    (TkLineToArea(center, arcPtr->center2, rectPtr) != -1)) {
		return 0;
	    }
	}
    } else if (arcPtr->style == CHORD_STYLE) {
	if (width >= 1.0) {
	    if (TkPolygonToArea(arcPtr->outlinePtr, CHORD_OUTLINE_PTS,
		    rectPtr) != -1) {
		return 0;
	    }
	} else {
	    if (TkLineToArea(arcPtr->center1, arcPtr->center2,
		    rectPtr) != -1) {
		return 0;
	    }
	}
    }

    /*
     * Next check for overlap between each of the four sides and the outer
     * perimiter of the arc. If the arc isn't filled, then also check the
     * inner perimeter of the arc.
     */

    if (HorizLineToArc(tRect[0], tRect[2], tRect[1], rx, ry, arcPtr->start,
		arcPtr->extent)
	    || HorizLineToArc(tRect[0], tRect[2], tRect[3], rx, ry,
		arcPtr->start, arcPtr->extent)
	    || VertLineToArc(tRect[0], tRect[1], tRect[3], rx, ry,
		arcPtr->start, arcPtr->extent)
	    || VertLineToArc(tRect[2], tRect[1], tRect[3], rx, ry,
		arcPtr->start, arcPtr->extent)) {
	return 0;
    }
    if ((width > 1.0) && !filled) {
	rx -= width;
	ry -= width;
	if (HorizLineToArc(tRect[0], tRect[2], tRect[1], rx, ry, arcPtr->start,
		    arcPtr->extent)
		|| HorizLineToArc(tRect[0], tRect[2], tRect[3], rx, ry,
		    arcPtr->start, arcPtr->extent)
		|| VertLineToArc(tRect[0], tRect[1], tRect[3], rx, ry,
		    arcPtr->start, arcPtr->extent)
		|| VertLineToArc(tRect[2], tRect[1], tRect[3], rx, ry,
		    arcPtr->start, arcPtr->extent)) {
	    return 0;
	}
    }

    /*
     * The arc still appears to be totally disjoint from the rectangle, but
     * it's also possible that the rectangle is totally inside the arc. Do one
     * last check, which is to check one point of the rectangle to see if it's
     * inside the arc. If it is, we've got overlap. If it isn't, the arc's
     * really outside the rectangle.
     */

    if (ArcToPoint(canvas, itemPtr, rectPtr) == 0.0) {
	return 0;
    }
    return -1;
}

/*
 *--------------------------------------------------------------
 *
 * ScaleArc --
 *
 *	This function is invoked to rescale an arc item.
 *
 * Results:
 *	None.
 *
 * Side effects:
 *	The arc referred to by itemPtr is rescaled so that the following
 *	transformation is applied to all point coordinates:
 *		x' = originX + scaleX*(x-originX)
 *		y' = originY + scaleY*(y-originY)
 *
 *--------------------------------------------------------------
 */

static void
ScaleArc(
    Tk_Canvas canvas,		/* Canvas containing arc. */
    Tk_Item *itemPtr,		/* Arc to be scaled. */
    double originX,		/* Origin about which to scale rect. */
    double originY,
    double scaleX,		/* Amount to scale in X direction. */
    double scaleY)		/* Amount to scale in Y direction. */
{
    ArcItem *arcPtr = (ArcItem *) itemPtr;

    arcPtr->bbox[0] = originX + scaleX*(arcPtr->bbox[0] - originX);
    arcPtr->bbox[1] = originY + scaleY*(arcPtr->bbox[1] - originY);
    arcPtr->bbox[2] = originX + scaleX*(arcPtr->bbox[2] - originX);
    arcPtr->bbox[3] = originY + scaleY*(arcPtr->bbox[3] - originY);
    ComputeArcBbox(canvas, arcPtr);
}

/*
 *--------------------------------------------------------------
 *
 * RotateArc --
 *
 *	This function is called to rotate an arc by a given amount.
 *
 * Results:
 *	None.
 *
 * Side effects:
 *	The position of the arc is rotated by angleRad radians about (originX,
 *	originY), and the bounding box is updated in the generic part of the
 *	item structure.
 *
 *--------------------------------------------------------------
 */

static void
RotateArc(
    Tk_Canvas canvas,
    Tk_Item *itemPtr,
    double originX,
    double originY,
    double angleRad)
{
    ArcItem *arcPtr = (ArcItem *) itemPtr;
    double newX, newY, oldX, oldY;

    /*
     * Compute the centre of the box, then rotate that about the origin.
     */

    newX = oldX = (arcPtr->bbox[0] + arcPtr->bbox[2]) / 2.0;
    newY = oldY = (arcPtr->bbox[1] + arcPtr->bbox[3]) / 2.0;
    TkRotatePoint(originX, originY, sin(angleRad), cos(angleRad),
	    &newX, &newY);

    /*
     * Apply the translation to the box.
     */

    arcPtr->bbox[0] += newX - oldX;
    arcPtr->bbox[1] += newY - oldY;
    arcPtr->bbox[2] += newX - oldX;
    arcPtr->bbox[3] += newY - oldY;

    /*
     * TODO: update the arc endpoints?
     */

    ComputeArcBbox(canvas, arcPtr);
}

/*
 *--------------------------------------------------------------
 *
 * TranslateArc --
 *
 *	This function is called to move an arc by a given amount.
 *
 * Results:
 *	None.
 *
 * Side effects:
 *	The position of the arc is offset by (xDelta, yDelta), and the
 *	bounding box is updated in the generic part of the item structure.
 *
 *--------------------------------------------------------------
 */

static void
TranslateArc(
    Tk_Canvas canvas,		/* Canvas containing item. */
    Tk_Item *itemPtr,		/* Item that is being moved. */
    double deltaX,		/* Amount by which item is to be moved. */
    double deltaY)
{
    ArcItem *arcPtr = (ArcItem *) itemPtr;

    arcPtr->bbox[0] += deltaX;
    arcPtr->bbox[1] += deltaY;
    arcPtr->bbox[2] += deltaX;
    arcPtr->bbox[3] += deltaY;
    ComputeArcBbox(canvas, arcPtr);
}

/*
 *--------------------------------------------------------------
 *
 * ComputeArcOutline --
 *
 *	This function creates a polygon describing everything in the outline
 *	for an arc except what's in the curved part. For a "pie slice" arc
 *	this is a V-shaped chunk, and for a "chord" arc this is a linear chunk
 *	(with cutaway corners). For "arc" arcs, this stuff isn't relevant.
 *
 * Results:
 *	None.
 *
 * Side effects:
 *	The information at arcPtr->outlinePtr gets modified, and storage for
 *	arcPtr->outlinePtr may be allocated or freed.
 *
 *--------------------------------------------------------------
 */

static void
ComputeArcOutline(
    Tk_Canvas canvas,		/* Information about overall canvas. */
    ArcItem *arcPtr)		/* Information about arc. */
{
    double sin1, cos1, sin2, cos2, angle, width, halfWidth;
    double boxWidth, boxHeight;
    double vertex[2], corner1[2], corner2[2];
    double *outlinePtr;
    Tk_State state = arcPtr->header.state;

    /*
     * Make sure that the outlinePtr array is large enough to hold either a
     * chord or pie-slice outline.
     */

    if (arcPtr->numOutlinePoints == 0) {
	arcPtr->outlinePtr = ckalloc(26 * sizeof(double));
	arcPtr->numOutlinePoints = 22;
    }
    outlinePtr = arcPtr->outlinePtr;

    if (state == TK_STATE_NULL) {
	state = Canvas(canvas)->canvas_state;
    }

    /*
     * First compute the two points that lie at the centers of the ends of the
     * curved arc segment, which are marked with X's in the figure below:
     *
     *
     *				  * * *
     *			      *          *
     *			   *      * *      *
     *			 *    *         *    *
     *			*   *             *   *
     *			 X *               * X
     *
     * The code is tricky because the arc can be ovular in shape. It computes
     * the position for a unit circle, and then scales to fit the shape of the
     * arc's bounding box.
     *
     * Also, watch out because angles go counter-clockwise like you might
     * expect, but the y-coordinate system is inverted. To handle this, just
     * negate the angles in all the computations.
     */

    boxWidth = arcPtr->bbox[2] - arcPtr->bbox[0];
    boxHeight = arcPtr->bbox[3] - arcPtr->bbox[1];
    angle = -arcPtr->start*PI/180.0;
    sin1 = sin(angle);
    cos1 = cos(angle);
    angle -= arcPtr->extent*PI/180.0;
    sin2 = sin(angle);
    cos2 = cos(angle);
    vertex[0] = (arcPtr->bbox[0] + arcPtr->bbox[2])/2.0;
    vertex[1] = (arcPtr->bbox[1] + arcPtr->bbox[3])/2.0;
    arcPtr->center1[0] = vertex[0] + cos1*boxWidth/2.0;
    arcPtr->center1[1] = vertex[1] + sin1*boxHeight/2.0;
    arcPtr->center2[0] = vertex[0] + cos2*boxWidth/2.0;
    arcPtr->center2[1] = vertex[1] + sin2*boxHeight/2.0;

    /*
     * Next compute the "outermost corners" of the arc, which are marked with
     * X's in the figure below:
     *
     *				  * * *
     *			      *          *
     *			   *      * *      *
     *			 *    *         *    *
     *			X   *             *   X
     *			   *               *
     *
     * The code below is tricky because it has to handle eccentricity in the
     * shape of the oval. The key in the code below is to realize that the
     * slope of the line from arcPtr->center1 to corner1 is (boxWidth*sin1)
     * divided by (boxHeight*cos1), and similarly for arcPtr->center2 and
     * corner2. These formulas can be computed from the formula for the oval.
     */

    width = arcPtr->outline.width;
    if (Canvas(canvas)->currentItemPtr == (Tk_Item *) arcPtr) {
	if (arcPtr->outline.activeWidth>arcPtr->outline.width) {
	    width = arcPtr->outline.activeWidth;
	}
    } else if (state == TK_STATE_DISABLED) {
	if (arcPtr->outline.disabledWidth>arcPtr->outline.width) {
	    width = arcPtr->outline.disabledWidth;
	}
    }
    halfWidth = width/2.0;

    if (((boxWidth*sin1) == 0.0) && ((boxHeight*cos1) == 0.0)) {
	angle = 0.0;
    } else {
	angle = atan2(boxWidth*sin1, boxHeight*cos1);
    }
    corner1[0] = arcPtr->center1[0] + cos(angle)*halfWidth;
    corner1[1] = arcPtr->center1[1] + sin(angle)*halfWidth;
    if (((boxWidth*sin2) == 0.0) && ((boxHeight*cos2) == 0.0)) {
	angle = 0.0;
    } else {
	angle = atan2(boxWidth*sin2, boxHeight*cos2);
    }
    corner2[0] = arcPtr->center2[0] + cos(angle)*halfWidth;
    corner2[1] = arcPtr->center2[1] + sin(angle)*halfWidth;

    /*
     * For a chord outline, generate a six-sided polygon with three points for
     * each end of the chord. The first and third points for each end are butt
     * points generated on either side of the center point. The second point
     * is the corner point.
     */

    if (arcPtr->style == CHORD_STYLE) {
	outlinePtr[0] = outlinePtr[12] = corner1[0];
	outlinePtr[1] = outlinePtr[13] = corner1[1];
	TkGetButtPoints(arcPtr->center2, arcPtr->center1,
		width, 0, outlinePtr+10, outlinePtr+2);
	outlinePtr[4] = arcPtr->center2[0] + outlinePtr[2]
		- arcPtr->center1[0];
	outlinePtr[5] = arcPtr->center2[1] + outlinePtr[3]
		- arcPtr->center1[1];
	outlinePtr[6] = corner2[0];
	outlinePtr[7] = corner2[1];
	outlinePtr[8] = arcPtr->center2[0] + outlinePtr[10]
		- arcPtr->center1[0];
	outlinePtr[9] = arcPtr->center2[1] + outlinePtr[11]
		- arcPtr->center1[1];
    } else if (arcPtr->style == PIESLICE_STYLE) {
	/*
	 * For pie slices, generate two polygons, one for each side of the pie
	 * slice. The first arm has a shape like this, where the center of the
	 * oval is X, arcPtr->center1 is at Y, and corner1 is at Z:
	 *
	 *	 _____________________
	 *	|		      \
	 *	|		       \
	 *	X		     Y  Z
	 *	|		       /
	 *	|_____________________/
	 */

	TkGetButtPoints(arcPtr->center1, vertex, width, 0,
		outlinePtr, outlinePtr+2);
	outlinePtr[4] = arcPtr->center1[0] + outlinePtr[2] - vertex[0];
	outlinePtr[5] = arcPtr->center1[1] + outlinePtr[3] - vertex[1];
	outlinePtr[6] = corner1[0];
	outlinePtr[7] = corner1[1];
	outlinePtr[8] = arcPtr->center1[0] + outlinePtr[0] - vertex[0];
	outlinePtr[9] = arcPtr->center1[1] + outlinePtr[1] - vertex[1];
	outlinePtr[10] = outlinePtr[0];
	outlinePtr[11] = outlinePtr[1];

	/*
	 * The second arm has a shape like this:
	 *
	 *	   ______________________
	 *	  /			  \
	 *	 /			   \
	 *	Z  Y			X  /
	 *	 \			  /
	 *	  \______________________/
	 *
	 * Similar to above X is the center of the oval/circle, Y is
	 * arcPtr->center2, and Z is corner2. The extra jog out to the left of
	 * X is needed in or to produce a butted joint with the first arm; the
	 * corner to the right of X is one of the first two points of the
	 * first arm, depending on extent.
	 */

	TkGetButtPoints(arcPtr->center2, vertex, width, 0,
		outlinePtr+12, outlinePtr+16);
	if ((arcPtr->extent > 180) ||
		((arcPtr->extent < 0) && (arcPtr->extent > -180))) {
	    outlinePtr[14] = outlinePtr[0];
	    outlinePtr[15] = outlinePtr[1];
	} else {
	    outlinePtr[14] = outlinePtr[2];
	    outlinePtr[15] = outlinePtr[3];
	}
	outlinePtr[18] = arcPtr->center2[0] + outlinePtr[16] - vertex[0];
	outlinePtr[19] = arcPtr->center2[1] + outlinePtr[17] - vertex[1];
	outlinePtr[20] = corner2[0];
	outlinePtr[21] = corner2[1];
	outlinePtr[22] = arcPtr->center2[0] + outlinePtr[12] - vertex[0];
	outlinePtr[23] = arcPtr->center2[1] + outlinePtr[13] - vertex[1];
	outlinePtr[24] = outlinePtr[12];
	outlinePtr[25] = outlinePtr[13];
    }
}

/*
 *--------------------------------------------------------------
 *
 * HorizLineToArc --
 *
 *	Determines whether a horizontal line segment intersects a given arc.
 *
 * Results:
 *	The return value is 1 if the given line intersects the infinitely-thin
 *	arc section defined by rx, ry, start, and extent, and 0 otherwise.
 *	Only the perimeter of the arc is checked: interior areas (e.g. chord
 *	or pie-slice) are not checked.
 *
 * Side effects:
 *	None.
 *
 *--------------------------------------------------------------
 */

static int
HorizLineToArc(
    double x1, double x2,	/* X-coords of endpoints of line segment. X1
				 * must be <= x2. */
    double y,			/* Y-coordinate of line segment. */
    double rx, double ry,	/* These x- and y-radii define an oval
				 * centered at the origin. */
    double start, double extent)/* Angles that define extent of arc, in the
				 * standard fashion for this module. */
{
    double tmp, x;
    double tx, ty;		/* Coordinates of intersection point in
				 * transformed coordinate system. */

    /*
     * Compute the x-coordinate of one possible intersection point between the
     * arc and the line. Use a transformed coordinate system where the oval is
     * a unit circle centered at the origin. Then scale back to get actual
     * x-coordinate.
     */

    ty = y/ry;
    tmp = 1 - ty*ty;
    if (tmp < 0) {
	return 0;
    }
    tx = sqrt(tmp);
    x = tx*rx;

    /*
     * Test both intersection points.
     */

    if ((x >= x1) && (x <= x2) && AngleInRange(tx, ty, start, extent)) {
	return 1;
    }
    if ((-x >= x1) && (-x <= x2) && AngleInRange(-tx, ty, start, extent)) {
	return 1;
    }
    return 0;
}

/*
 *--------------------------------------------------------------
 *
 * VertLineToArc --
 *
 *	Determines whether a vertical line segment intersects a given arc.
 *
 * Results:
 *	The return value is 1 if the given line intersects the infinitely-thin
 *	arc section defined by rx, ry, start, and extent, and 0 otherwise.
 *	Only the perimeter of the arc is checked: interior areas (e.g. chord
 *	or pie-slice) are not checked.
 *
 * Side effects:
 *	None.
 *
 *--------------------------------------------------------------
 */

static int
VertLineToArc(
    double x,			/* X-coordinate of line segment. */
    double y1, double y2,	/* Y-coords of endpoints of line segment. Y1
				 * must be <= y2. */
    double rx, double ry,	/* These x- and y-radii define an oval
				 * centered at the origin. */
    double start, double extent)/* Angles that define extent of arc, in the
				 * standard fashion for this module. */
{
    double tmp, y;
    double tx, ty;		/* Coordinates of intersection point in
				 * transformed coordinate system. */

    /*
     * Compute the y-coordinate of one possible intersection point between the
     * arc and the line. Use a transformed coordinate system where the oval is
     * a unit circle centered at the origin. Then scale back to get actual
     * y-coordinate.
     */

    tx = x/rx;
    tmp = 1 - tx*tx;
    if (tmp < 0) {
	return 0;
    }
    ty = sqrt(tmp);
    y = ty*ry;

    /*
     * Test both intersection points.
     */

    if ((y > y1) && (y < y2) && AngleInRange(tx, ty, start, extent)) {
	return 1;
    }
    if ((-y > y1) && (-y < y2) && AngleInRange(tx, -ty, start, extent)) {
	return 1;
    }
    return 0;
}

/*
 *--------------------------------------------------------------
 *
 * AngleInRange --
 *
 *	Determine whether the angle from the origin to a given point is within
 *	a given range.
 *
 * Results:
 *	The return value is 1 if the angle from (0,0) to (x,y) is in the range
 *	given by start and extent, where angles are interpreted in the
 *	standard way for ovals (meaning backwards from normal interpretation).
 *	Otherwise the return value is 0.
 *
 * Side effects:
 *	None.
 *
 *--------------------------------------------------------------
 */

static int
AngleInRange(
    double x, double y,		/* Coordinate of point; angle measured from
				 * origin to here, relative to x-axis. */
    double start,		/* First angle, degrees, >=0, <=360. */
    double extent)		/* Size of arc in degrees >=-360, <=360. */
{
    double diff;

    if ((x == 0.0) && (y == 0.0)) {
	return 1;
    }
    diff = -atan2(y, x);
    diff = diff*(180.0/PI) - start;
    while (diff > 360.0) {
	diff -= 360.0;
    }
    while (diff < 0.0) {
	diff += 360.0;
    }
    if (extent >= 0) {
	return diff <= extent;
    }
    return (diff-360.0) >= extent;
}

/*
 *--------------------------------------------------------------
 *
 * ArcToPostscript --
 *
 *	This function is called to generate Postscript for arc items.
 *
 * Results:
 *	The return value is a standard Tcl result. If an error occurs in
 *	generating Postscript then an error message is left in the interp's
 *	result, replacing whatever used to be there. If no error occurs, then
 *	Postscript for the item is appended to the result.
 *
 * Side effects:
 *	None.
 *
 *--------------------------------------------------------------
 */

static int
ArcToPostscript(
    Tcl_Interp *interp,		/* Leave Postscript or error message here. */
    Tk_Canvas canvas,		/* Information about overall canvas. */
    Tk_Item *itemPtr,		/* Item for which Postscript is wanted. */
    int prepass)		/* 1 means this is a prepass to collect font
				 * information; 0 means final Postscript is
				 * being created. */
{
    ArcItem *arcPtr = (ArcItem *) itemPtr;
    double y1, y2, ang1, ang2;
    XColor *color;
    Pixmap stipple;
    XColor *fillColor;
    Pixmap fillStipple;
    Tk_State state = itemPtr->state;
    Tcl_Obj *psObj;
    Tcl_InterpState interpState;

    y1 = Tk_CanvasPsY(canvas, arcPtr->bbox[1]);
    y2 = Tk_CanvasPsY(canvas, arcPtr->bbox[3]);
    ang1 = arcPtr->start;
    ang2 = ang1 + arcPtr->extent;
    if (ang2 < ang1) {
	ang1 = ang2;
	ang2 = arcPtr->start;
    }

    if (state == TK_STATE_NULL) {
	state = Canvas(canvas)->canvas_state;
    }
    color = arcPtr->outline.color;
    stipple = arcPtr->outline.stipple;
    fillColor = arcPtr->fillColor;
    fillStipple = arcPtr->fillStipple;
    if (Canvas(canvas)->currentItemPtr == itemPtr) {
	if (arcPtr->outline.activeColor!=NULL) {
	    color = arcPtr->outline.activeColor;
	}
	if (arcPtr->outline.activeStipple!=None) {
	    stipple = arcPtr->outline.activeStipple;
	}
	if (arcPtr->activeFillColor!=NULL) {
	    fillColor = arcPtr->activeFillColor;
	}
	if (arcPtr->activeFillStipple!=None) {
	    fillStipple = arcPtr->activeFillStipple;
	}
    } else if (state == TK_STATE_DISABLED) {
	if (arcPtr->outline.disabledColor!=NULL) {
	    color = arcPtr->outline.disabledColor;
	}
	if (arcPtr->outline.disabledStipple!=None) {
	    stipple = arcPtr->outline.disabledStipple;
	}
	if (arcPtr->disabledFillColor!=NULL) {
	    fillColor = arcPtr->disabledFillColor;
	}
	if (arcPtr->disabledFillStipple!=None) {
	    fillStipple = arcPtr->disabledFillStipple;
	}
    }

    /*
     * Make our working space.
     */

    psObj = Tcl_NewObj();
    interpState = Tcl_SaveInterpState(interp, TCL_OK);

    /*
     * If the arc is filled, output Postscript for the interior region of the
     * arc.
     */

    if (arcPtr->fillGC != NULL) {
	Tcl_AppendPrintfToObj(psObj,
		"matrix currentmatrix\n"
		"%.15g %.15g translate %.15g %.15g scale\n",
		(arcPtr->bbox[0] + arcPtr->bbox[2])/2, (y1 + y2)/2,
		(arcPtr->bbox[2] - arcPtr->bbox[0])/2, (y1 - y2)/2);

	if (arcPtr->style != CHORD_STYLE) {
	    Tcl_AppendToObj(psObj, "0 0 moveto ", -1);
	}
	Tcl_AppendPrintfToObj(psObj,
		"0 0 1 %.15g %.15g arc closepath\nsetmatrix\n",
		ang1, ang2);

	Tcl_ResetResult(interp);
	if (Tk_CanvasPsColor(interp, canvas, fillColor) != TCL_OK) {
	    goto error;
	}
	Tcl_AppendObjToObj(psObj, Tcl_GetObjResult(interp));

	if (fillStipple != None) {
	    Tcl_AppendToObj(psObj, "clip ", -1);

	    Tcl_ResetResult(interp);
	    if (Tk_CanvasPsStipple(interp, canvas, fillStipple) != TCL_OK) {
		goto error;
	    }
	    Tcl_AppendObjToObj(psObj, Tcl_GetObjResult(interp));

	    if (arcPtr->outline.gc != NULL) {
		Tcl_AppendToObj(psObj, "grestore gsave\n", -1);
	    }
	} else {
	    Tcl_AppendToObj(psObj, "fill\n", -1);
	}
    }

    /*
     * If there's an outline for the arc, draw it.
     */

    if (arcPtr->outline.gc != NULL) {
	Tcl_AppendPrintfToObj(psObj,
		"matrix currentmatrix\n"
		"%.15g %.15g translate %.15g %.15g scale\n",
		(arcPtr->bbox[0] + arcPtr->bbox[2])/2, (y1 + y2)/2,
		(arcPtr->bbox[2] - arcPtr->bbox[0])/2, (y1 - y2)/2);
	Tcl_AppendPrintfToObj(psObj,
		"0 0 1 %.15g %.15g arc\nsetmatrix\n0 setlinecap\n",
		ang1, ang2);

	Tcl_ResetResult(interp);
	if (Tk_CanvasPsOutline(canvas, itemPtr, &arcPtr->outline) != TCL_OK) {
	    goto error;
	}
	Tcl_AppendObjToObj(psObj, Tcl_GetObjResult(interp));

	if (arcPtr->style != ARC_STYLE) {
	    Tcl_AppendToObj(psObj, "grestore gsave\n", -1);

	    Tcl_ResetResult(interp);
	    if (arcPtr->style == CHORD_STYLE) {
		Tk_CanvasPsPath(interp, canvas, arcPtr->outlinePtr,
			CHORD_OUTLINE_PTS);
	    } else {
		Tk_CanvasPsPath(interp, canvas, arcPtr->outlinePtr,
			PIE_OUTLINE1_PTS);
		if (Tk_CanvasPsColor(interp, canvas, color) != TCL_OK) {
		    goto error;
		}
		Tcl_AppendObjToObj(psObj, Tcl_GetObjResult(interp));

		if (stipple != None) {
		    Tcl_AppendToObj(psObj, "clip ", -1);

		    Tcl_ResetResult(interp);
		    if (Tk_CanvasPsStipple(interp, canvas, stipple) !=TCL_OK){
			goto error;
		    }
		    Tcl_AppendObjToObj(psObj, Tcl_GetObjResult(interp));
		} else {
		    Tcl_AppendToObj(psObj, "fill\n", -1);
		}
		Tcl_AppendToObj(psObj, "grestore gsave\n", -1);

		Tcl_ResetResult(interp);
		Tk_CanvasPsPath(interp, canvas,
			arcPtr->outlinePtr + 2*PIE_OUTLINE1_PTS,
			PIE_OUTLINE2_PTS);
	    }
	    if (Tk_CanvasPsColor(interp, canvas, color) != TCL_OK) {
		goto error;
	    }
	    Tcl_AppendObjToObj(psObj, Tcl_GetObjResult(interp));

	    if (stipple != None) {
		Tcl_AppendToObj(psObj, "clip ", -1);

		Tcl_ResetResult(interp);
		if (Tk_CanvasPsStipple(interp, canvas, stipple) != TCL_OK) {
		    goto error;
		}
		Tcl_AppendObjToObj(psObj, Tcl_GetObjResult(interp));
	    } else {
		Tcl_AppendToObj(psObj, "fill\n", -1);
	    }
	}
    }

    /*
     * Plug the accumulated postscript back into the result.
     */

    (void) Tcl_RestoreInterpState(interp, interpState);
    Tcl_AppendObjToObj(Tcl_GetObjResult(interp), psObj);
    Tcl_DecrRefCount(psObj);
    return TCL_OK;

  error:
    Tcl_DiscardInterpState(interpState);
    Tcl_DecrRefCount(psObj);
    return TCL_ERROR;
}

/*
 *--------------------------------------------------------------
 *
 * StyleParseProc --
 *
 *	This function is invoked during option processing to handle the
 *	"-style" option.
 *
 * Results:
 *	A standard Tcl return value.
 *
 * Side effects:
 *	The state for a given item gets replaced by the state indicated in the
 *	value argument.
 *
 *--------------------------------------------------------------
 */

static int
StyleParseProc(
    ClientData clientData,	/* some flags.*/
    Tcl_Interp *interp,		/* Used for reporting errors. */
    Tk_Window tkwin,		/* Window containing canvas widget. */
    const char *value,		/* Value of option. */
    char *widgRec,		/* Pointer to record for item. */
    int offset)			/* Offset into item. */
{
    int c;
    size_t length;

    register Style *stylePtr = (Style *) (widgRec + offset);

    if (value == NULL || *value == 0) {
	*stylePtr = PIESLICE_STYLE;
	return TCL_OK;
    }

    c = value[0];
    length = strlen(value);

    if ((c == 'a') && (strncmp(value, "arc", length) == 0)) {
	*stylePtr = ARC_STYLE;
	return TCL_OK;
    }
    if ((c == 'c') && (strncmp(value, "chord", length) == 0)) {
	*stylePtr = CHORD_STYLE;
	return TCL_OK;
    }
    if ((c == 'p') && (strncmp(value, "pieslice", length) == 0)) {
	*stylePtr = PIESLICE_STYLE;
	return TCL_OK;
    }

    Tcl_SetObjResult(interp, Tcl_ObjPrintf(
	    "bad -style option \"%s\": must be arc, chord, or pieslice",
	    value));
    Tcl_SetErrorCode(interp, "TK", "CANVAS", "ARC_STYLE", NULL);
    *stylePtr = PIESLICE_STYLE;
    return TCL_ERROR;
}

/*
 *--------------------------------------------------------------
 *
 * StylePrintProc --
 *
 *	This function is invoked by the Tk configuration code to produce a
 *	printable string for the "-style" configuration option.
 *
 * Results:
 *	The return value is a string describing the state for the item
 *	referred to by "widgRec". In addition, *freeProcPtr is filled in with
 *	the address of a function to call to free the result string when it's
 *	no longer needed (or NULL to indicate that the string doesn't need to
 *	be freed).
 *
 * Side effects:
 *	None.
 *
 *--------------------------------------------------------------
 */

static const char *
StylePrintProc(
    ClientData clientData,	/* Ignored. */
    Tk_Window tkwin,		/* Ignored. */
    char *widgRec,		/* Pointer to record for item. */
    int offset,			/* Offset into item. */
    Tcl_FreeProc **freeProcPtr)	/* Pointer to variable to fill in with
				 * information about how to reclaim storage
				 * for return string. */
{
    register Style *stylePtr = (Style *) (widgRec + offset);

    if (*stylePtr == ARC_STYLE) {
	return "arc";
    } else if (*stylePtr == CHORD_STYLE) {
	return "chord";
    } else {
	return "pieslice";
    }
}

/*
 * Local Variables:
 * mode: c
 * c-basic-offset: 4
 * fill-column: 78
 * End:
 */