summaryrefslogtreecommitdiffstats
path: root/src/bdd/cudd/cuddAPI.c
blob: a16b82cfc9567705b85c059406cfe3ec2df49c78 (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
2305
2306
2307
2308
2309
2310
2311
2312
2313
2314
2315
2316
2317
2318
2319
2320
2321
2322
2323
2324
2325
2326
2327
2328
2329
2330
2331
2332
2333
2334
2335
2336
2337
2338
2339
2340
2341
2342
2343
2344
2345
2346
2347
2348
2349
2350
2351
2352
2353
2354
2355
2356
2357
2358
2359
2360
2361
2362
2363
2364
2365
2366
2367
2368
2369
2370
2371
2372
2373
2374
2375
2376
2377
2378
2379
2380
2381
2382
2383
2384
2385
2386
2387
2388
2389
2390
2391
2392
2393
2394
2395
2396
2397
2398
2399
2400
2401
2402
2403
2404
2405
2406
2407
2408
2409
2410
2411
2412
2413
2414
2415
2416
2417
2418
2419
2420
2421
2422
2423
2424
2425
2426
2427
2428
2429
2430
2431
2432
2433
2434
2435
2436
2437
2438
2439
2440
2441
2442
2443
2444
2445
2446
2447
2448
2449
2450
2451
2452
2453
2454
2455
2456
2457
2458
2459
2460
2461
2462
2463
2464
2465
2466
2467
2468
2469
2470
2471
2472
2473
2474
2475
2476
2477
2478
2479
2480
2481
2482
2483
2484
2485
2486
2487
2488
2489
2490
2491
2492
2493
2494
2495
2496
2497
2498
2499
2500
2501
2502
2503
2504
2505
2506
2507
2508
2509
2510
2511
2512
2513
2514
2515
2516
2517
2518
2519
2520
2521
2522
2523
2524
2525
2526
2527
2528
2529
2530
2531
2532
2533
2534
2535
2536
2537
2538
2539
2540
2541
2542
2543
2544
2545
2546
2547
2548
2549
2550
2551
2552
2553
2554
2555
2556
2557
2558
2559
2560
2561
2562
2563
2564
2565
2566
2567
2568
2569
2570
2571
2572
2573
2574
2575
2576
2577
2578
2579
2580
2581
2582
2583
2584
2585
2586
2587
2588
2589
2590
2591
2592
2593
2594
2595
2596
2597
2598
2599
2600
2601
2602
2603
2604
2605
2606
2607
2608
2609
2610
2611
2612
2613
2614
2615
2616
2617
2618
2619
2620
2621
2622
2623
2624
2625
2626
2627
2628
2629
2630
2631
2632
2633
2634
2635
2636
2637
2638
2639
2640
2641
2642
2643
2644
2645
2646
2647
2648
2649
2650
2651
2652
2653
2654
2655
2656
2657
2658
2659
2660
2661
2662
2663
2664
2665
2666
2667
2668
2669
2670
2671
2672
2673
2674
2675
2676
2677
2678
2679
2680
2681
2682
2683
2684
2685
2686
2687
2688
2689
2690
2691
2692
2693
2694
2695
2696
2697
2698
2699
2700
2701
2702
2703
2704
2705
2706
2707
2708
2709
2710
2711
2712
2713
2714
2715
2716
2717
2718
2719
2720
2721
2722
2723
2724
2725
2726
2727
2728
2729
2730
2731
2732
2733
2734
2735
2736
2737
2738
2739
2740
2741
2742
2743
2744
2745
2746
2747
2748
2749
2750
2751
2752
2753
2754
2755
2756
2757
2758
2759
2760
2761
2762
2763
2764
2765
2766
2767
2768
2769
2770
2771
2772
2773
2774
2775
2776
2777
2778
2779
2780
2781
2782
2783
2784
2785
2786
2787
2788
2789
2790
2791
2792
2793
2794
2795
2796
2797
2798
2799
2800
2801
2802
2803
2804
2805
2806
2807
2808
2809
2810
2811
2812
2813
2814
2815
2816
2817
2818
2819
2820
2821
2822
2823
2824
2825
2826
2827
2828
2829
2830
2831
2832
2833
2834
2835
2836
2837
2838
2839
2840
2841
2842
2843
2844
2845
2846
2847
2848
2849
2850
2851
2852
2853
2854
2855
2856
2857
2858
2859
2860
2861
2862
2863
2864
2865
2866
2867
2868
2869
2870
2871
2872
2873
2874
2875
2876
2877
2878
2879
2880
2881
2882
2883
2884
2885
2886
2887
2888
2889
2890
2891
2892
2893
2894
2895
2896
2897
2898
2899
2900
2901
2902
2903
2904
2905
2906
2907
2908
2909
2910
2911
2912
2913
2914
2915
2916
2917
2918
2919
2920
2921
2922
2923
2924
2925
2926
2927
2928
2929
2930
2931
2932
2933
2934
2935
2936
2937
2938
2939
2940
2941
2942
2943
2944
2945
2946
2947
2948
2949
2950
2951
2952
2953
2954
2955
2956
2957
2958
2959
2960
2961
2962
2963
2964
2965
2966
2967
2968
2969
2970
2971
2972
2973
2974
2975
2976
2977
2978
2979
2980
2981
2982
2983
2984
2985
2986
2987
2988
2989
2990
2991
2992
2993
2994
2995
2996
2997
2998
2999
3000
3001
3002
3003
3004
3005
3006
3007
3008
3009
3010
3011
3012
3013
3014
3015
3016
3017
3018
3019
3020
3021
3022
3023
3024
3025
3026
3027
3028
3029
3030
3031
3032
3033
3034
3035
3036
3037
3038
3039
3040
3041
3042
3043
3044
3045
3046
3047
3048
3049
3050
3051
3052
3053
3054
3055
3056
3057
3058
3059
3060
3061
3062
3063
3064
3065
3066
3067
3068
3069
3070
3071
3072
3073
3074
3075
3076
3077
3078
3079
3080
3081
3082
3083
3084
3085
3086
3087
3088
3089
3090
3091
3092
3093
3094
3095
3096
3097
3098
3099
3100
3101
3102
3103
3104
3105
3106
3107
3108
3109
3110
3111
3112
3113
3114
3115
3116
3117
3118
3119
3120
3121
3122
3123
3124
3125
3126
3127
3128
3129
3130
3131
3132
3133
3134
3135
3136
3137
3138
3139
3140
3141
3142
3143
3144
3145
3146
3147
3148
3149
3150
3151
3152
3153
3154
3155
3156
3157
3158
3159
3160
3161
3162
3163
3164
3165
3166
3167
3168
3169
3170
3171
3172
3173
3174
3175
3176
3177
3178
3179
3180
3181
3182
3183
3184
3185
3186
3187
3188
3189
3190
3191
3192
3193
3194
3195
3196
3197
3198
3199
3200
3201
3202
3203
3204
3205
3206
3207
3208
3209
3210
3211
3212
3213
3214
3215
3216
3217
3218
3219
3220
3221
3222
3223
3224
3225
3226
3227
3228
3229
3230
3231
3232
3233
3234
3235
3236
3237
3238
3239
3240
3241
3242
3243
3244
3245
3246
3247
3248
3249
3250
3251
3252
3253
3254
3255
3256
3257
3258
3259
3260
3261
3262
3263
3264
3265
3266
3267
3268
3269
3270
3271
3272
3273
3274
3275
3276
3277
3278
3279
3280
3281
3282
3283
3284
3285
3286
3287
3288
3289
3290
3291
3292
3293
3294
3295
3296
3297
3298
3299
3300
3301
3302
3303
3304
3305
3306
3307
3308
3309
3310
3311
3312
3313
3314
3315
3316
3317
3318
3319
3320
3321
3322
3323
3324
3325
3326
3327
3328
3329
3330
3331
3332
3333
3334
3335
3336
3337
3338
3339
3340
3341
3342
3343
3344
3345
3346
3347
3348
3349
3350
3351
3352
3353
3354
3355
3356
3357
3358
3359
3360
3361
3362
3363
3364
3365
3366
3367
3368
3369
3370
3371
3372
3373
3374
3375
3376
3377
3378
3379
3380
3381
3382
3383
3384
3385
3386
3387
3388
3389
3390
3391
3392
3393
3394
3395
3396
3397
3398
3399
3400
3401
3402
3403
3404
3405
3406
3407
3408
3409
3410
3411
3412
3413
3414
3415
3416
3417
3418
3419
3420
3421
3422
3423
3424
3425
3426
3427
3428
3429
3430
3431
3432
3433
3434
3435
3436
3437
3438
3439
3440
3441
3442
3443
3444
3445
3446
3447
3448
3449
3450
3451
3452
3453
3454
3455
3456
3457
3458
3459
3460
3461
3462
3463
3464
3465
3466
3467
3468
3469
3470
3471
3472
3473
3474
3475
3476
3477
3478
3479
3480
3481
3482
3483
3484
3485
3486
3487
3488
3489
3490
3491
3492
3493
3494
3495
3496
3497
3498
3499
3500
3501
3502
3503
3504
3505
3506
3507
3508
3509
3510
3511
3512
3513
3514
3515
3516
3517
3518
3519
3520
3521
3522
3523
3524
3525
3526
3527
3528
3529
3530
3531
3532
3533
3534
3535
3536
3537
3538
3539
3540
3541
3542
3543
3544
3545
3546
3547
3548
3549
3550
3551
3552
3553
3554
3555
3556
3557
3558
3559
3560
3561
3562
3563
3564
3565
3566
3567
3568
3569
3570
3571
3572
3573
3574
3575
3576
3577
3578
3579
3580
3581
3582
3583
3584
3585
3586
3587
3588
3589
3590
3591
3592
3593
3594
3595
3596
3597
3598
3599
3600
3601
3602
3603
3604
3605
3606
3607
3608
3609
3610
3611
3612
3613
3614
3615
3616
3617
3618
3619
3620
3621
3622
3623
3624
3625
3626
3627
3628
3629
3630
3631
3632
3633
3634
3635
3636
3637
3638
3639
3640
3641
3642
3643
3644
3645
3646
3647
3648
3649
3650
3651
3652
3653
3654
3655
3656
3657
3658
3659
3660
3661
3662
3663
3664
3665
3666
3667
3668
3669
3670
3671
3672
3673
3674
3675
3676
3677
3678
3679
3680
3681
3682
3683
3684
3685
3686
3687
3688
3689
3690
3691
3692
3693
3694
3695
3696
3697
3698
3699
3700
3701
3702
3703
3704
3705
3706
3707
3708
3709
3710
3711
3712
3713
3714
3715
3716
3717
3718
3719
3720
3721
3722
3723
3724
3725
3726
3727
3728
3729
3730
3731
3732
3733
3734
3735
3736
3737
3738
3739
3740
3741
3742
3743
3744
3745
3746
3747
3748
3749
3750
3751
3752
3753
3754
3755
3756
3757
3758
3759
3760
3761
3762
3763
3764
3765
3766
3767
3768
3769
3770
3771
3772
3773
3774
3775
3776
3777
3778
3779
3780
3781
3782
3783
3784
3785
3786
3787
3788
3789
3790
3791
3792
3793
3794
3795
3796
3797
3798
3799
3800
3801
3802
3803
3804
3805
3806
3807
3808
3809
3810
3811
3812
3813
3814
3815
3816
3817
3818
3819
3820
3821
3822
3823
3824
3825
3826
3827
3828
3829
3830
3831
3832
3833
3834
3835
3836
3837
3838
3839
3840
3841
3842
3843
3844
3845
3846
3847
3848
3849
3850
3851
3852
3853
3854
3855
3856
3857
3858
3859
3860
3861
3862
3863
3864
3865
3866
3867
3868
3869
3870
3871
3872
3873
3874
3875
3876
3877
3878
3879
3880
3881
3882
3883
3884
3885
3886
3887
3888
3889
3890
3891
3892
3893
3894
3895
3896
3897
3898
3899
3900
3901
3902
3903
3904
3905
3906
3907
3908
3909
3910
3911
3912
3913
3914
3915
3916
3917
3918
3919
3920
3921
3922
3923
3924
3925
3926
3927
3928
3929
3930
3931
3932
3933
3934
3935
3936
3937
3938
3939
3940
3941
3942
3943
3944
3945
3946
3947
3948
3949
3950
3951
3952
3953
3954
3955
3956
3957
3958
3959
3960
3961
3962
3963
3964
3965
3966
3967
3968
3969
3970
3971
3972
3973
3974
3975
3976
3977
3978
3979
3980
3981
3982
3983
3984
3985
3986
3987
3988
3989
3990
3991
3992
3993
3994
3995
3996
3997
3998
3999
4000
4001
4002
4003
4004
4005
4006
4007
4008
4009
4010
4011
4012
4013
4014
4015
4016
4017
4018
4019
4020
4021
4022
4023
4024
4025
4026
4027
4028
4029
4030
4031
4032
4033
4034
4035
4036
4037
4038
4039
4040
4041
4042
4043
4044
4045
4046
4047
4048
4049
4050
4051
4052
4053
4054
4055
4056
4057
4058
4059
4060
4061
4062
4063
4064
4065
4066
4067
4068
4069
4070
4071
4072
4073
4074
4075
4076
4077
4078
4079
4080
4081
4082
4083
4084
4085
4086
4087
4088
4089
4090
4091
4092
4093
4094
4095
4096
4097
4098
4099
4100
4101
4102
4103
4104
4105
4106
4107
4108
4109
4110
4111
4112
4113
4114
4115
4116
4117
4118
4119
4120
4121
4122
4123
4124
4125
4126
4127
4128
4129
4130
4131
4132
4133
4134
4135
4136
4137
4138
4139
4140
4141
4142
4143
4144
4145
4146
4147
4148
4149
4150
4151
4152
4153
4154
4155
4156
4157
4158
4159
4160
4161
4162
4163
4164
4165
4166
4167
4168
4169
4170
4171
4172
4173
4174
4175
4176
4177
4178
4179
4180
4181
4182
4183
4184
4185
4186
4187
4188
4189
4190
4191
4192
4193
4194
4195
4196
4197
4198
4199
4200
4201
4202
4203
4204
4205
4206
4207
4208
4209
4210
4211
4212
4213
4214
4215
4216
4217
4218
4219
4220
4221
4222
4223
4224
4225
4226
4227
4228
4229
4230
4231
4232
4233
4234
4235
4236
4237
4238
4239
4240
4241
4242
4243
4244
4245
4246
4247
4248
4249
4250
4251
4252
4253
4254
4255
4256
4257
4258
4259
4260
4261
4262
4263
4264
4265
4266
4267
4268
4269
4270
4271
4272
4273
4274
4275
4276
4277
4278
4279
4280
4281
4282
4283
4284
4285
4286
4287
4288
4289
4290
4291
4292
4293
4294
4295
4296
4297
4298
4299
4300
4301
4302
4303
4304
4305
4306
4307
4308
4309
4310
4311
4312
4313
4314
4315
4316
4317
4318
4319
4320
4321
4322
4323
4324
4325
4326
4327
4328
4329
4330
4331
4332
4333
4334
4335
4336
4337
4338
4339
4340
4341
4342
4343
4344
4345
4346
4347
4348
4349
4350
4351
4352
4353
4354
4355
4356
4357
4358
4359
4360
4361
4362
4363
4364
4365
4366
4367
4368
4369
4370
4371
4372
4373
4374
4375
4376
4377
4378
4379
4380
4381
4382
4383
4384
4385
4386
4387
4388
4389
4390
4391
4392
4393
4394
4395
4396
4397
4398
4399
4400
4401
4402
4403
4404
4405
4406
4407
4408
4409
/**CFile***********************************************************************

  FileName    [cuddAPI.c]

  PackageName [cudd]

  Synopsis    [Application interface functions.]

  Description [External procedures included in this module:
        <ul>
        <li> Cudd_addNewVar()
        <li> Cudd_addNewVarAtLevel()
        <li> Cudd_bddNewVar()
        <li> Cudd_bddNewVarAtLevel()
        <li> Cudd_addIthVar()
        <li> Cudd_bddIthVar()
        <li> Cudd_zddIthVar()
        <li> Cudd_zddVarsFromBddVars()
        <li> Cudd_addConst()
        <li> Cudd_IsNonConstant()
        <li> Cudd_AutodynEnable()
        <li> Cudd_AutodynDisable()
        <li> Cudd_ReorderingStatus()
        <li> Cudd_AutodynEnableZdd()
        <li> Cudd_AutodynDisableZdd()
        <li> Cudd_ReorderingStatusZdd()
        <li> Cudd_zddRealignmentEnabled()
        <li> Cudd_zddRealignEnable()
        <li> Cudd_zddRealignDisable()
        <li> Cudd_bddRealignmentEnabled()
        <li> Cudd_bddRealignEnable()
        <li> Cudd_bddRealignDisable()
        <li> Cudd_ReadOne()
        <li> Cudd_ReadZddOne()
        <li> Cudd_ReadZero()
        <li> Cudd_ReadLogicZero()
        <li> Cudd_ReadPlusInfinity()
        <li> Cudd_ReadMinusInfinity()
        <li> Cudd_ReadBackground()
        <li> Cudd_SetBackground()
        <li> Cudd_ReadCacheSlots()
        <li> Cudd_ReadCacheUsedSlots()
        <li> Cudd_ReadCacheLookUps()
        <li> Cudd_ReadCacheHits()
        <li> Cudd_ReadMinHit()
        <li> Cudd_SetMinHit()
        <li> Cudd_ReadLooseUpTo()
        <li> Cudd_SetLooseUpTo()
        <li> Cudd_ReadMaxCache()
        <li> Cudd_ReadMaxCacheHard()
        <li> Cudd_SetMaxCacheHard()
        <li> Cudd_ReadSize()
        <li> Cudd_ReadSlots()
        <li> Cudd_ReadUsedSlots()
        <li> Cudd_ExpectedUsedSlots()
        <li> Cudd_ReadKeys()
        <li> Cudd_ReadDead()
        <li> Cudd_ReadMinDead()
        <li> Cudd_ReadReorderings()
        <li> Cudd_ReadReorderingTime()
        <li> Cudd_ReadGarbageCollections()
        <li> Cudd_ReadGarbageCollectionTime()
        <li> Cudd_ReadNodesFreed()
        <li> Cudd_ReadNodesDropped()
        <li> Cudd_ReadUniqueLookUps()
        <li> Cudd_ReadUniqueLinks()
        <li> Cudd_ReadSiftMaxVar()
        <li> Cudd_SetSiftMaxVar()
        <li> Cudd_ReadMaxGrowth()
        <li> Cudd_SetMaxGrowth()
        <li> Cudd_ReadMaxGrowthAlternate()
        <li> Cudd_SetMaxGrowthAlternate()
        <li> Cudd_ReadReorderingCycle()
        <li> Cudd_SetReorderingCycle()
        <li> Cudd_ReadTree()
        <li> Cudd_SetTree()
        <li> Cudd_FreeTree()
        <li> Cudd_ReadZddTree()
        <li> Cudd_SetZddTree()
        <li> Cudd_FreeZddTree()
                <li> Cudd_NodeReadIndex()
        <li> Cudd_ReadPerm()
        <li> Cudd_ReadInvPerm()
        <li> Cudd_ReadVars()
        <li> Cudd_ReadEpsilon()
        <li> Cudd_SetEpsilon()
        <li> Cudd_ReadGroupCheck()
        <li> Cudd_SetGroupcheck()
        <li> Cudd_GarbageCollectionEnabled()
        <li> Cudd_EnableGarbageCollection()
        <li> Cudd_DisableGarbageCollection()
        <li> Cudd_DeadAreCounted()
        <li> Cudd_TurnOnCountDead()
        <li> Cudd_TurnOffCountDead()
        <li> Cudd_ReadRecomb()
        <li> Cudd_SetRecomb()
        <li> Cudd_ReadSymmviolation()
        <li> Cudd_SetSymmviolation()
        <li> Cudd_ReadArcviolation()
        <li> Cudd_SetArcviolation()
        <li> Cudd_ReadPopulationSize()
        <li> Cudd_SetPopulationSize()
        <li> Cudd_ReadNumberXovers()
        <li> Cudd_SetNumberXovers()
        <li> Cudd_ReadMemoryInUse()
        <li> Cudd_PrintInfo()
        <li> Cudd_ReadPeakNodeCount()
        <li> Cudd_ReadPeakLiveNodeCount()
        <li> Cudd_ReadNodeCount()
        <li> Cudd_zddReadNodeCount()
        <li> Cudd_AddHook()
        <li> Cudd_RemoveHook()
        <li> Cudd_IsInHook()
        <li> Cudd_StdPreReordHook()
        <li> Cudd_StdPostReordHook()
        <li> Cudd_EnableReorderingReporting()
        <li> Cudd_DisableReorderingReporting()
        <li> Cudd_ReorderingReporting()
        <li> Cudd_ReadErrorCode()
        <li> Cudd_ClearErrorCode()
        <li> Cudd_ReadStdout()
        <li> Cudd_SetStdout()
        <li> Cudd_ReadStderr()
        <li> Cudd_SetStderr()
        <li> Cudd_ReadNextReordering()
        <li> Cudd_SetNextReordering()
        <li> Cudd_ReadSwapSteps()
        <li> Cudd_ReadMaxLive()
        <li> Cudd_SetMaxLive()
        <li> Cudd_ReadMaxMemory()
        <li> Cudd_SetMaxMemory()
        <li> Cudd_bddBindVar()
        <li> Cudd_bddUnbindVar()
        <li> Cudd_bddVarIsBound()
        <li> Cudd_bddSetPiVar()
        <li> Cudd_bddSetPsVar()
        <li> Cudd_bddSetNsVar()
        <li> Cudd_bddIsPiVar()
        <li> Cudd_bddIsPsVar()
        <li> Cudd_bddIsNsVar()
        <li> Cudd_bddSetPairIndex()
        <li> Cudd_bddReadPairIndex()
        <li> Cudd_bddSetVarToBeGrouped()
        <li> Cudd_bddSetVarHardGroup()
        <li> Cudd_bddResetVarToBeGrouped()
        <li> Cudd_bddIsVarToBeGrouped()
        <li> Cudd_bddSetVarToBeUngrouped()
        <li> Cudd_bddIsVarToBeUngrouped()
        <li> Cudd_bddIsVarHardGroup()
        </ul>
          Static procedures included in this module:
        <ul>
        <li> fixVarTree()
        </ul>]

  SeeAlso     []

  Author      [Fabio Somenzi]

  Copyright   [This file was created at the University of Colorado at
  Boulder.  The University of Colorado at Boulder makes no warranty
  about the suitability of this software for any purpose.  It is
  presented on an AS IS basis.]

******************************************************************************/

#include    "util_hack.h"
#include    "cuddInt.h"

/*---------------------------------------------------------------------------*/
/* Constant declarations                                                     */
/*---------------------------------------------------------------------------*/

/*---------------------------------------------------------------------------*/
/* Stucture declarations                                                     */
/*---------------------------------------------------------------------------*/

/*---------------------------------------------------------------------------*/
/* Type declarations                                                         */
/*---------------------------------------------------------------------------*/

/*---------------------------------------------------------------------------*/
/* Variable declarations                                                     */
/*---------------------------------------------------------------------------*/

#ifndef lint
static char rcsid[] DD_UNUSED = "$Id: cuddAPI.c,v 1.1.1.1 2003/02/24 22:23:51 wjiang Exp $";
#endif

/*---------------------------------------------------------------------------*/
/* Macro declarations                                                        */
/*---------------------------------------------------------------------------*/

/**AutomaticStart*************************************************************/

/*---------------------------------------------------------------------------*/
/* Static function prototypes                                                */
/*---------------------------------------------------------------------------*/

static void fixVarTree ARGS((MtrNode *treenode, int *perm, int size));
static int addMultiplicityGroups ARGS((DdManager *dd, MtrNode *treenode, int multiplicity, char *vmask, char *lmask));

/**AutomaticEnd***************************************************************/


/*---------------------------------------------------------------------------*/
/* Definition of exported functions                                          */
/*---------------------------------------------------------------------------*/


/**Function********************************************************************

  Synopsis    [Returns a new ADD variable.]

  Description [Creates a new ADD variable.  The new variable has an
  index equal to the largest previous index plus 1.  Returns a
  pointer to the new variable if successful; NULL otherwise.
  An ADD variable differs from a BDD variable because it points to the
  arithmetic zero, instead of having a complement pointer to 1. ]

  SideEffects [None]

  SeeAlso     [Cudd_bddNewVar Cudd_addIthVar Cudd_addConst
  Cudd_addNewVarAtLevel]

******************************************************************************/
DdNode *
Cudd_addNewVar(
  DdManager * dd)
{
    DdNode *res;

    if ((unsigned int) dd->size >= CUDD_MAXINDEX - 1) return(NULL);
    do {
    dd->reordered = 0;
    res = cuddUniqueInter(dd,dd->size,DD_ONE(dd),DD_ZERO(dd));
    } while (dd->reordered == 1);

    return(res);

} /* end of Cudd_addNewVar */


/**Function********************************************************************

  Synopsis    [Returns a new ADD variable at a specified level.]

  Description [Creates a new ADD variable.  The new variable has an
  index equal to the largest previous index plus 1 and is positioned at
  the specified level in the order.  Returns a pointer to the new
  variable if successful; NULL otherwise.]

  SideEffects [None]

  SeeAlso     [Cudd_addNewVar Cudd_addIthVar Cudd_bddNewVarAtLevel]

******************************************************************************/
DdNode *
Cudd_addNewVarAtLevel(
  DdManager * dd,
  int  level)
{
    DdNode *res;

    if ((unsigned int) dd->size >= CUDD_MAXINDEX - 1) return(NULL);
    if (level >= dd->size) return(Cudd_addIthVar(dd,level));
    if (!cuddInsertSubtables(dd,1,level)) return(NULL);
    do {
    dd->reordered = 0;
    res = cuddUniqueInter(dd,dd->size - 1,DD_ONE(dd),DD_ZERO(dd));
    } while (dd->reordered == 1);

    return(res);

} /* end of Cudd_addNewVarAtLevel */


/**Function********************************************************************

  Synopsis    [Returns a new BDD variable.]

  Description [Creates a new BDD variable.  The new variable has an
  index equal to the largest previous index plus 1.  Returns a
  pointer to the new variable if successful; NULL otherwise.]

  SideEffects [None]

  SeeAlso     [Cudd_addNewVar Cudd_bddIthVar Cudd_bddNewVarAtLevel]

******************************************************************************/
DdNode *
Cudd_bddNewVar(
  DdManager * dd)
{
    DdNode *res;

    if ((unsigned int) dd->size >= CUDD_MAXINDEX - 1) return(NULL);
    res = cuddUniqueInter(dd,dd->size,dd->one,Cudd_Not(dd->one));

    return(res);

} /* end of Cudd_bddNewVar */


/**Function********************************************************************

  Synopsis    [Returns a new BDD variable at a specified level.]

  Description [Creates a new BDD variable.  The new variable has an
  index equal to the largest previous index plus 1 and is positioned at
  the specified level in the order.  Returns a pointer to the new
  variable if successful; NULL otherwise.]

  SideEffects [None]

  SeeAlso     [Cudd_bddNewVar Cudd_bddIthVar Cudd_addNewVarAtLevel]

******************************************************************************/
DdNode *
Cudd_bddNewVarAtLevel(
  DdManager * dd,
  int  level)
{
    DdNode *res;

    if ((unsigned int) dd->size >= CUDD_MAXINDEX - 1) return(NULL);
    if (level >= dd->size) return(Cudd_bddIthVar(dd,level));
    if (!cuddInsertSubtables(dd,1,level)) return(NULL);
    res = dd->vars[dd->size - 1];

    return(res);

} /* end of Cudd_bddNewVarAtLevel */


/**Function********************************************************************

  Synopsis    [Returns the ADD variable with index i.]

  Description [Retrieves the ADD variable with index i if it already
  exists, or creates a new ADD variable.  Returns a pointer to the
  variable if successful; NULL otherwise.  An ADD variable differs from
  a BDD variable because it points to the arithmetic zero, instead of
  having a complement pointer to 1. ]

  SideEffects [None]

  SeeAlso     [Cudd_addNewVar Cudd_bddIthVar Cudd_addConst
  Cudd_addNewVarAtLevel]

******************************************************************************/
DdNode *
Cudd_addIthVar(
  DdManager * dd,
  int  i)
{
    DdNode *res;

    if ((unsigned int) i >= CUDD_MAXINDEX - 1) return(NULL);
    do {
    dd->reordered = 0;
    res = cuddUniqueInter(dd,i,DD_ONE(dd),DD_ZERO(dd));
    } while (dd->reordered == 1);

    return(res);

} /* end of Cudd_addIthVar */


/**Function********************************************************************

  Synopsis    [Returns the BDD variable with index i.]

  Description [Retrieves the BDD variable with index i if it already
  exists, or creates a new BDD variable.  Returns a pointer to the
  variable if successful; NULL otherwise.]

  SideEffects [None]

  SeeAlso     [Cudd_bddNewVar Cudd_addIthVar Cudd_bddNewVarAtLevel
  Cudd_ReadVars]

******************************************************************************/
DdNode *
Cudd_bddIthVar(
  DdManager * dd,
  int  i)
{
    DdNode *res;

    if ((unsigned int) i >= CUDD_MAXINDEX - 1) return(NULL);
    if (i < dd->size) {
    res = dd->vars[i];
    } else {
    res = cuddUniqueInter(dd,i,dd->one,Cudd_Not(dd->one));
    }

    return(res);

} /* end of Cudd_bddIthVar */


/**Function********************************************************************

  Synopsis    [Returns the ZDD variable with index i.]

  Description [Retrieves the ZDD variable with index i if it already
  exists, or creates a new ZDD variable.  Returns a pointer to the
  variable if successful; NULL otherwise.]

  SideEffects [None]

  SeeAlso     [Cudd_bddIthVar Cudd_addIthVar]

******************************************************************************/
DdNode *
Cudd_zddIthVar(
  DdManager * dd,
  int  i)
{
    DdNode *res;
    DdNode *zvar;
    DdNode *lower;
    int j;

    if ((unsigned int) i >= CUDD_MAXINDEX - 1) return(NULL);

    /* The i-th variable function has the following structure:
    ** at the level corresponding to index i there is a node whose "then"
    ** child points to the universe, and whose "else" child points to zero.
    ** Above that level there are nodes with identical children.
    */

    /* First we build the node at the level of index i. */
    lower = (i < dd->sizeZ - 1) ? dd->univ[dd->permZ[i]+1] : DD_ONE(dd);
    do {
    dd->reordered = 0;
    zvar = cuddUniqueInterZdd(dd, i, lower, DD_ZERO(dd));
    } while (dd->reordered == 1);

    if (zvar == NULL)
    return(NULL);
    cuddRef(zvar);

    /* Now we add the "filler" nodes above the level of index i. */
    for (j = dd->permZ[i] - 1; j >= 0; j--) {
    do {
        dd->reordered = 0;
        res = cuddUniqueInterZdd(dd, dd->invpermZ[j], zvar, zvar);
    } while (dd->reordered == 1);
    if (res == NULL) {
        Cudd_RecursiveDerefZdd(dd,zvar);
        return(NULL);
    }
    cuddRef(res);
    Cudd_RecursiveDerefZdd(dd,zvar);
    zvar = res;
    }
    cuddDeref(zvar);
    return(zvar);

} /* end of Cudd_zddIthVar */


/**Function********************************************************************

  Synopsis    [Creates one or more ZDD variables for each BDD variable.]

  Description [Creates one or more ZDD variables for each BDD
  variable.  If some ZDD variables already exist, only the missing
  variables are created.  Parameter multiplicity allows the caller to
  control how many variables are created for each BDD variable in
  existence. For instance, if ZDDs are used to represent covers, two
  ZDD variables are required for each BDD variable.  The order of the
  BDD variables is transferred to the ZDD variables. If a variable
  group tree exists for the BDD variables, a corresponding ZDD
  variable group tree is created by expanding the BDD variable
  tree. In any case, the ZDD variables derived from the same BDD
  variable are merged in a ZDD variable group. If a ZDD variable group
  tree exists, it is freed. Returns 1 if successful; 0 otherwise.]

  SideEffects [None]

  SeeAlso     [Cudd_bddNewVar Cudd_bddIthVar Cudd_bddNewVarAtLevel]

******************************************************************************/
int
Cudd_zddVarsFromBddVars(
  DdManager * dd /* DD manager */,
  int multiplicity /* how many ZDD variables are created for each BDD variable */)
{
    int res;
    int i, j;
    int allnew;
    int *permutation;

    if (multiplicity < 1) return(0);
    allnew = dd->sizeZ == 0;
    if (dd->size * multiplicity > dd->sizeZ) {
    res = cuddResizeTableZdd(dd,dd->size * multiplicity - 1);
    if (res == 0) return(0);
    }
    /* Impose the order of the BDD variables to the ZDD variables. */
    if (allnew) {
    for (i = 0; i < dd->size; i++) {
        for (j = 0; j < multiplicity; j++) {
        dd->permZ[i * multiplicity + j] =
            dd->perm[i] * multiplicity + j;
        dd->invpermZ[dd->permZ[i * multiplicity + j]] =
            i * multiplicity + j;
        }
    }
    for (i = 0; i < dd->sizeZ; i++) {
        dd->univ[i]->index = dd->invpermZ[i];
    }
    } else {
    permutation = ALLOC(int,dd->sizeZ);
    if (permutation == NULL) {
        dd->errorCode = CUDD_MEMORY_OUT;
        return(0);
    }
    for (i = 0; i < dd->size; i++) {
        for (j = 0; j < multiplicity; j++) {
        permutation[i * multiplicity + j] =
            dd->invperm[i] * multiplicity + j;
        }
    }
    for (i = dd->size * multiplicity; i < dd->sizeZ; i++) {
        permutation[i] = i;
    }
    res = Cudd_zddShuffleHeap(dd, permutation);
    FREE(permutation);
    if (res == 0) return(0);
    }
    /* Copy and expand the variable group tree if it exists. */
    if (dd->treeZ != NULL) {
    Cudd_FreeZddTree(dd);
    }
    if (dd->tree != NULL) {
    dd->treeZ = Mtr_CopyTree(dd->tree, multiplicity);
    if (dd->treeZ == NULL) return(0);
    } else if (multiplicity > 1) {
    dd->treeZ = Mtr_InitGroupTree(0, dd->sizeZ);
    if (dd->treeZ == NULL) return(0);
    dd->treeZ->index = dd->invpermZ[0];
    }
    /* Create groups for the ZDD variables derived from the same BDD variable.
    */
    if (multiplicity > 1) {
    char *vmask, *lmask;

    vmask = ALLOC(char, dd->size);
    if (vmask == NULL) {
        dd->errorCode = CUDD_MEMORY_OUT;
        return(0);
    }
    lmask =  ALLOC(char, dd->size);
    if (lmask == NULL) {
        dd->errorCode = CUDD_MEMORY_OUT;
        return(0);
    }
    for (i = 0; i < dd->size; i++) {
        vmask[i] = lmask[i] = 0;
    }
    res = addMultiplicityGroups(dd,dd->treeZ,multiplicity,vmask,lmask);
    FREE(vmask);
    FREE(lmask);
    if (res == 0) return(0);
    }
    return(1);

} /* end of Cudd_zddVarsFromBddVars */


/**Function********************************************************************

  Synopsis    [Returns the ADD for constant c.]

  Description [Retrieves the ADD for constant c if it already
  exists, or creates a new ADD.  Returns a pointer to the
  ADD if successful; NULL otherwise.]

  SideEffects [None]

  SeeAlso     [Cudd_addNewVar Cudd_addIthVar]

******************************************************************************/
DdNode *
Cudd_addConst(
  DdManager * dd,
  CUDD_VALUE_TYPE  c)
{
    return(cuddUniqueConst(dd,c));

} /* end of Cudd_addConst */


/**Function********************************************************************

  Synopsis    [Returns 1 if a DD node is not constant.]

  Description [Returns 1 if a DD node is not constant. This function is
  useful to test the results of Cudd_bddIteConstant, Cudd_addIteConstant,
  Cudd_addEvalConst. These results may be a special value signifying
  non-constant. In the other cases the macro Cudd_IsConstant can be used.]

  SideEffects [None]

  SeeAlso     [Cudd_IsConstant Cudd_bddIteConstant Cudd_addIteConstant
  Cudd_addEvalConst]

******************************************************************************/
int
Cudd_IsNonConstant(
  DdNode *f)
{
    return(f == DD_NON_CONSTANT || !Cudd_IsConstant(f));

} /* end of Cudd_IsNonConstant */


/**Function********************************************************************

  Synopsis    [Enables automatic dynamic reordering of BDDs and ADDs.]

  Description [Enables automatic dynamic reordering of BDDs and
  ADDs. Parameter method is used to determine the method used for
  reordering. If CUDD_REORDER_SAME is passed, the method is
  unchanged.]

  SideEffects [None]

  SeeAlso     [Cudd_AutodynDisable Cudd_ReorderingStatus
  Cudd_AutodynEnableZdd]

******************************************************************************/
void
Cudd_AutodynEnable(
  DdManager * unique,
  Cudd_ReorderingType  method)
{
    unique->autoDyn = 1;
    if (method != CUDD_REORDER_SAME) {
    unique->autoMethod = method;
    }
#ifndef DD_NO_DEATH_ROW
    /* If reordering is enabled, using the death row causes too many
    ** invocations. Hence, we shrink the death row to just one entry.
    */
    cuddClearDeathRow(unique);
    unique->deathRowDepth = 1;
    unique->deadMask = unique->deathRowDepth - 1;
    if ((unsigned) unique->nextDead > unique->deadMask) {
    unique->nextDead = 0;
    }
    unique->deathRow = REALLOC(DdNodePtr, unique->deathRow,
    unique->deathRowDepth);
#endif
    return;

} /* end of Cudd_AutodynEnable */


/**Function********************************************************************

  Synopsis    [Disables automatic dynamic reordering.]

  Description []

  SideEffects [None]

  SeeAlso     [Cudd_AutodynEnable Cudd_ReorderingStatus
  Cudd_AutodynDisableZdd]

******************************************************************************/
void
Cudd_AutodynDisable(
  DdManager * unique)
{
    unique->autoDyn = 0;
    return;

} /* end of Cudd_AutodynDisable */


/**Function********************************************************************

  Synopsis    [Reports the status of automatic dynamic reordering of BDDs
  and ADDs.]

  Description [Reports the status of automatic dynamic reordering of
  BDDs and ADDs. Parameter method is set to the reordering method
  currently selected. Returns 1 if automatic reordering is enabled; 0
  otherwise.]

  SideEffects [Parameter method is set to the reordering method currently
  selected.]

  SeeAlso     [Cudd_AutodynEnable Cudd_AutodynDisable
  Cudd_ReorderingStatusZdd]

******************************************************************************/
int
Cudd_ReorderingStatus(
  DdManager * unique,
  Cudd_ReorderingType * method)
{
    *method = unique->autoMethod;
    return(unique->autoDyn);

} /* end of Cudd_ReorderingStatus */


/**Function********************************************************************

  Synopsis    [Enables automatic dynamic reordering of ZDDs.]

  Description [Enables automatic dynamic reordering of ZDDs. Parameter
  method is used to determine the method used for reordering ZDDs. If
  CUDD_REORDER_SAME is passed, the method is unchanged.]

  SideEffects [None]

  SeeAlso     [Cudd_AutodynDisableZdd Cudd_ReorderingStatusZdd
  Cudd_AutodynEnable]

******************************************************************************/
void
Cudd_AutodynEnableZdd(
  DdManager * unique,
  Cudd_ReorderingType method)
{
    unique->autoDynZ = 1;
    if (method != CUDD_REORDER_SAME) {
    unique->autoMethodZ = method;
    }
    return;

} /* end of Cudd_AutodynEnableZdd */


/**Function********************************************************************

  Synopsis    [Disables automatic dynamic reordering of ZDDs.]

  Description []

  SideEffects [None]

  SeeAlso     [Cudd_AutodynEnableZdd Cudd_ReorderingStatusZdd
  Cudd_AutodynDisable]

******************************************************************************/
void
Cudd_AutodynDisableZdd(
  DdManager * unique)
{
    unique->autoDynZ = 0;
    return;

} /* end of Cudd_AutodynDisableZdd */


/**Function********************************************************************

  Synopsis    [Reports the status of automatic dynamic reordering of ZDDs.]

  Description [Reports the status of automatic dynamic reordering of
  ZDDs. Parameter method is set to the ZDD reordering method currently
  selected. Returns 1 if automatic reordering is enabled; 0
  otherwise.]

  SideEffects [Parameter method is set to the ZDD reordering method currently
  selected.]

  SeeAlso     [Cudd_AutodynEnableZdd Cudd_AutodynDisableZdd
  Cudd_ReorderingStatus]

******************************************************************************/
int
Cudd_ReorderingStatusZdd(
  DdManager * unique,
  Cudd_ReorderingType * method)
{
    *method = unique->autoMethodZ;
    return(unique->autoDynZ);

} /* end of Cudd_ReorderingStatusZdd */


/**Function********************************************************************

  Synopsis    [Tells whether the realignment of ZDD order to BDD order is
  enabled.]

  Description [Returns 1 if the realignment of ZDD order to BDD order is
  enabled; 0 otherwise.]

  SideEffects [None]

  SeeAlso     [Cudd_zddRealignEnable Cudd_zddRealignDisable
  Cudd_bddRealignEnable Cudd_bddRealignDisable]

******************************************************************************/
int
Cudd_zddRealignmentEnabled(
  DdManager * unique)
{
    return(unique->realign);

} /* end of Cudd_zddRealignmentEnabled */


/**Function********************************************************************

  Synopsis    [Enables realignment of ZDD order to BDD order.]

  Description [Enables realignment of the ZDD variable order to the
  BDD variable order after the BDDs and ADDs have been reordered.  The
  number of ZDD variables must be a multiple of the number of BDD
  variables for realignment to make sense. If this condition is not met,
  Cudd_ReduceHeap will return 0. Let <code>M</code> be the
  ratio of the two numbers. For the purpose of realignment, the ZDD
  variables from <code>M*i</code> to <code>(M+1)*i-1</code> are
  reagarded as corresponding to BDD variable <code>i</code>. Realignment
  is initially disabled.]

  SideEffects [None]

  SeeAlso     [Cudd_ReduceHeap Cudd_zddRealignDisable
  Cudd_zddRealignmentEnabled Cudd_bddRealignDisable
  Cudd_bddRealignmentEnabled]

******************************************************************************/
void
Cudd_zddRealignEnable(
  DdManager * unique)
{
    unique->realign = 1;
    return;

} /* end of Cudd_zddRealignEnable */


/**Function********************************************************************

  Synopsis    [Disables realignment of ZDD order to BDD order.]

  Description []

  SideEffects [None]

  SeeAlso     [Cudd_zddRealignEnable Cudd_zddRealignmentEnabled
  Cudd_bddRealignEnable Cudd_bddRealignmentEnabled]

******************************************************************************/
void
Cudd_zddRealignDisable(
  DdManager * unique)
{
    unique->realign = 0;
    return;

} /* end of Cudd_zddRealignDisable */


/**Function********************************************************************

  Synopsis    [Tells whether the realignment of BDD order to ZDD order is
  enabled.]

  Description [Returns 1 if the realignment of BDD order to ZDD order is
  enabled; 0 otherwise.]

  SideEffects [None]

  SeeAlso     [Cudd_bddRealignEnable Cudd_bddRealignDisable
  Cudd_zddRealignEnable Cudd_zddRealignDisable]

******************************************************************************/
int
Cudd_bddRealignmentEnabled(
  DdManager * unique)
{
    return(unique->realignZ);

} /* end of Cudd_bddRealignmentEnabled */


/**Function********************************************************************

  Synopsis    [Enables realignment of BDD order to ZDD order.]

  Description [Enables realignment of the BDD variable order to the
  ZDD variable order after the ZDDs have been reordered.  The
  number of ZDD variables must be a multiple of the number of BDD
  variables for realignment to make sense. If this condition is not met,
  Cudd_zddReduceHeap will return 0. Let <code>M</code> be the
  ratio of the two numbers. For the purpose of realignment, the ZDD
  variables from <code>M*i</code> to <code>(M+1)*i-1</code> are
  reagarded as corresponding to BDD variable <code>i</code>. Realignment
  is initially disabled.]

  SideEffects [None]

  SeeAlso     [Cudd_zddReduceHeap Cudd_bddRealignDisable
  Cudd_bddRealignmentEnabled Cudd_zddRealignDisable
  Cudd_zddRealignmentEnabled]

******************************************************************************/
void
Cudd_bddRealignEnable(
  DdManager * unique)
{
    unique->realignZ = 1;
    return;

} /* end of Cudd_bddRealignEnable */


/**Function********************************************************************

  Synopsis    [Disables realignment of ZDD order to BDD order.]

  Description []

  SideEffects [None]

  SeeAlso     [Cudd_bddRealignEnable Cudd_bddRealignmentEnabled
  Cudd_zddRealignEnable Cudd_zddRealignmentEnabled]

******************************************************************************/
void
Cudd_bddRealignDisable(
  DdManager * unique)
{
    unique->realignZ = 0;
    return;

} /* end of Cudd_bddRealignDisable */


/**Function********************************************************************

  Synopsis    [Returns the one constant of the manager.]

  Description [Returns the one constant of the manager. The one
  constant is common to ADDs and BDDs.]

  SideEffects [None]

  SeeAlso [Cudd_ReadZero Cudd_ReadLogicZero Cudd_ReadZddOne]

******************************************************************************/
DdNode *
Cudd_ReadOne(
  DdManager * dd)
{
    return(dd->one);

} /* end of Cudd_ReadOne */


/**Function********************************************************************

  Synopsis    [Returns the ZDD for the constant 1 function.]

  Description [Returns the ZDD for the constant 1 function.
  The representation of the constant 1 function as a ZDD depends on
  how many variables it (nominally) depends on. The index of the
  topmost variable in the support is given as argument <code>i</code>.]

  SideEffects [None]

  SeeAlso [Cudd_ReadOne]

******************************************************************************/
DdNode *
Cudd_ReadZddOne(
  DdManager * dd,
  int  i)
{
    if (i < 0)
    return(NULL);
    return(i < dd->sizeZ ? dd->univ[i] : DD_ONE(dd));

} /* end of Cudd_ReadZddOne */



/**Function********************************************************************

  Synopsis    [Returns the zero constant of the manager.]

  Description [Returns the zero constant of the manager. The zero
  constant is the arithmetic zero, rather than the logic zero. The
  latter is the complement of the one constant.]

  SideEffects [None]

  SeeAlso [Cudd_ReadOne Cudd_ReadLogicZero]

******************************************************************************/
DdNode *
Cudd_ReadZero(
  DdManager * dd)
{
    return(DD_ZERO(dd));

} /* end of Cudd_ReadZero */


/**Function********************************************************************

  Synopsis    [Returns the logic zero constant of the manager.]

  Description [Returns the zero constant of the manager. The logic zero
  constant is the complement of the one constant, and is distinct from
  the arithmetic zero.]

  SideEffects [None]

  SeeAlso [Cudd_ReadOne Cudd_ReadZero]

******************************************************************************/
DdNode *
Cudd_ReadLogicZero(
  DdManager * dd)
{
    return(Cudd_Not(DD_ONE(dd)));

} /* end of Cudd_ReadLogicZero */


/**Function********************************************************************

  Synopsis    [Reads the plus-infinity constant from the manager.]

  Description []

  SideEffects [None]

******************************************************************************/
DdNode *
Cudd_ReadPlusInfinity(
  DdManager * dd)
{
    return(dd->plusinfinity);

} /* end of Cudd_ReadPlusInfinity */


/**Function********************************************************************

  Synopsis    [Reads the minus-infinity constant from the manager.]

  Description []

  SideEffects [None]

******************************************************************************/
DdNode *
Cudd_ReadMinusInfinity(
  DdManager * dd)
{
    return(dd->minusinfinity);

} /* end of Cudd_ReadMinusInfinity */


/**Function********************************************************************

  Synopsis    [Reads the background constant of the manager.]

  Description []

  SideEffects [None]

******************************************************************************/
DdNode *
Cudd_ReadBackground(
  DdManager * dd)
{
    return(dd->background);

} /* end of Cudd_ReadBackground */


/**Function********************************************************************

  Synopsis    [Sets the background constant of the manager.]

  Description [Sets the background constant of the manager. It assumes
  that the DdNode pointer bck is already referenced.]

  SideEffects [None]

******************************************************************************/
void
Cudd_SetBackground(
  DdManager * dd,
  DdNode * bck)
{
    dd->background = bck;

} /* end of Cudd_SetBackground */


/**Function********************************************************************

  Synopsis    [Reads the number of slots in the cache.]

  Description []

  SideEffects [None]

  SeeAlso     [Cudd_ReadCacheUsedSlots]

******************************************************************************/
unsigned int
Cudd_ReadCacheSlots(
  DdManager * dd)
{
    return(dd->cacheSlots);

} /* end of Cudd_ReadCacheSlots */


/**Function********************************************************************

  Synopsis    [Reads the fraction of used slots in the cache.]

  Description [Reads the fraction of used slots in the cache. The unused
  slots are those in which no valid data is stored. Garbage collection,
  variable reordering, and cache resizing may cause used slots to become
  unused.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadCacheSlots]

******************************************************************************/
double
Cudd_ReadCacheUsedSlots(
  DdManager * dd)
{
    unsigned long used = 0;
    int slots = dd->cacheSlots;
    DdCache *cache = dd->cache;
    int i;

    for (i = 0; i < slots; i++) {
    used += cache[i].h != 0;
    }

    return((double)used / (double) dd->cacheSlots);

} /* end of Cudd_ReadCacheUsedSlots */


/**Function********************************************************************

  Synopsis    [Returns the number of cache look-ups.]

  Description [Returns the number of cache look-ups.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadCacheHits]

******************************************************************************/
double
Cudd_ReadCacheLookUps(
  DdManager * dd)
{
    return(dd->cacheHits + dd->cacheMisses +
       dd->totCachehits + dd->totCacheMisses);

} /* end of Cudd_ReadCacheLookUps */


/**Function********************************************************************

  Synopsis    [Returns the number of cache hits.]

  Description []

  SideEffects [None]

  SeeAlso     [Cudd_ReadCacheLookUps]

******************************************************************************/
double
Cudd_ReadCacheHits(
  DdManager * dd)
{
    return(dd->cacheHits + dd->totCachehits);

} /* end of Cudd_ReadCacheHits */


/**Function********************************************************************

  Synopsis    [Returns the number of recursive calls.]

  Description [Returns the number of recursive calls if the package is
  compiled with DD_COUNT defined.]

  SideEffects [None]

  SeeAlso     []

******************************************************************************/
double
Cudd_ReadRecursiveCalls(
  DdManager * dd)
{
#ifdef DD_COUNT
    return(dd->recursiveCalls);
#else
    return(-1.0);
#endif

} /* end of Cudd_ReadRecursiveCalls */



/**Function********************************************************************

  Synopsis    [Reads the hit rate that causes resizinig of the computed
  table.]

  Description []

  SideEffects [None]

  SeeAlso     [Cudd_SetMinHit]

******************************************************************************/
unsigned int
Cudd_ReadMinHit(
  DdManager * dd)
{
    /* Internally, the package manipulates the ratio of hits to
    ** misses instead of the ratio of hits to accesses. */
    return((unsigned int) (0.5 + 100 * dd->minHit / (1 + dd->minHit)));

} /* end of Cudd_ReadMinHit */


/**Function********************************************************************

  Synopsis    [Sets the hit rate that causes resizinig of the computed
  table.]

  Description [Sets the minHit parameter of the manager. This
  parameter controls the resizing of the computed table. If the hit
  rate is larger than the specified value, and the cache is not
  already too large, then its size is doubled.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadMinHit]

******************************************************************************/
void
Cudd_SetMinHit(
  DdManager * dd,
  unsigned int hr)
{
    /* Internally, the package manipulates the ratio of hits to
    ** misses instead of the ratio of hits to accesses. */
    dd->minHit = (double) hr / (100.0 - (double) hr);

} /* end of Cudd_SetMinHit */


/**Function********************************************************************

  Synopsis    [Reads the looseUpTo parameter of the manager.]

  Description []

  SideEffects [None]

  SeeAlso     [Cudd_SetLooseUpTo Cudd_ReadMinHit Cudd_ReadMinDead]

******************************************************************************/
unsigned int
Cudd_ReadLooseUpTo(
  DdManager * dd)
{
    return(dd->looseUpTo);

} /* end of Cudd_ReadLooseUpTo */


/**Function********************************************************************

  Synopsis    [Sets the looseUpTo parameter of the manager.]

  Description [Sets the looseUpTo parameter of the manager. This
  parameter of the manager controls the threshold beyond which no fast
  growth of the unique table is allowed. The threshold is given as a
  number of slots. If the value passed to this function is 0, the
  function determines a suitable value based on the available memory.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadLooseUpTo Cudd_SetMinHit]

******************************************************************************/
void
Cudd_SetLooseUpTo(
  DdManager * dd,
  unsigned int lut)
{
    if (lut == 0) {
    long datalimit = getSoftDataLimit();
    lut = (unsigned int) (datalimit / (sizeof(DdNode) *
                       DD_MAX_LOOSE_FRACTION));
    }
    dd->looseUpTo = lut;

} /* end of Cudd_SetLooseUpTo */


/**Function********************************************************************

  Synopsis    [Returns the soft limit for the cache size.]

  Description [Returns the soft limit for the cache size. The soft limit]

  SideEffects [None]

  SeeAlso     [Cudd_ReadMaxCache]

******************************************************************************/
unsigned int
Cudd_ReadMaxCache(
  DdManager * dd)
{
    return(2 * dd->cacheSlots + dd->cacheSlack);

} /* end of Cudd_ReadMaxCache */


/**Function********************************************************************

  Synopsis    [Reads the maxCacheHard parameter of the manager.]

  Description []

  SideEffects [None]

  SeeAlso     [Cudd_SetMaxCacheHard Cudd_ReadMaxCache]

******************************************************************************/
unsigned int
Cudd_ReadMaxCacheHard(
  DdManager * dd)
{
    return(dd->maxCacheHard);

} /* end of Cudd_ReadMaxCache */


/**Function********************************************************************

  Synopsis    [Sets the maxCacheHard parameter of the manager.]

  Description [Sets the maxCacheHard parameter of the manager. The
  cache cannot grow larger than maxCacheHard entries. This parameter
  allows an application to control the trade-off of memory versus
  speed. If the value passed to this function is 0, the function
  determines a suitable maximum cache size based on the available memory.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadMaxCacheHard Cudd_SetMaxCache]

******************************************************************************/
void
Cudd_SetMaxCacheHard(
  DdManager * dd,
  unsigned int mc)
{
    if (mc == 0) {
    long datalimit = getSoftDataLimit();
    mc = (unsigned int) (datalimit / (sizeof(DdCache) *
                      DD_MAX_CACHE_FRACTION));
    }
    dd->maxCacheHard = mc;

} /* end of Cudd_SetMaxCacheHard */


/**Function********************************************************************

  Synopsis    [Returns the number of BDD variables in existance.]

  Description []

  SideEffects [None]

  SeeAlso     [Cudd_ReadZddSize]

******************************************************************************/
int
Cudd_ReadSize(
  DdManager * dd)
{
    return(dd->size);

} /* end of Cudd_ReadSize */


/**Function********************************************************************

  Synopsis    [Returns the number of ZDD variables in existance.]

  Description []

  SideEffects [None]

  SeeAlso     [Cudd_ReadSize]

******************************************************************************/
int
Cudd_ReadZddSize(
  DdManager * dd)
{
    return(dd->sizeZ);

} /* end of Cudd_ReadZddSize */


/**Function********************************************************************

  Synopsis    [Returns the total number of slots of the unique table.]

  Description [Returns the total number of slots of the unique table.
  This number ismainly for diagnostic purposes.]

  SideEffects [None]

******************************************************************************/
unsigned int
Cudd_ReadSlots(
  DdManager * dd)
{
    return(dd->slots);

} /* end of Cudd_ReadSlots */


/**Function********************************************************************

  Synopsis    [Reads the fraction of used slots in the unique table.]

  Description [Reads the fraction of used slots in the unique
  table. The unused slots are those in which no valid data is
  stored. Garbage collection, variable reordering, and subtable
  resizing may cause used slots to become unused.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadSlots]

******************************************************************************/
double
Cudd_ReadUsedSlots(
  DdManager * dd)
{
    unsigned long used = 0;
    int i, j;
    int size = dd->size;
    DdNodePtr *nodelist;
    DdSubtable *subtable;
    DdNode *node;
    DdNode *sentinel = &(dd->sentinel);

    /* Scan each BDD/ADD subtable. */
    for (i = 0; i < size; i++) {
    subtable = &(dd->subtables[i]);
    nodelist = subtable->nodelist;
    for (j = 0; (unsigned) j < subtable->slots; j++) {
        node = nodelist[j];
        if (node != sentinel) {
        used++;
        }
    }
    }

    /* Scan the ZDD subtables. */
    size = dd->sizeZ;

    for (i = 0; i < size; i++) {
    subtable = &(dd->subtableZ[i]);
    nodelist = subtable->nodelist;
    for (j = 0; (unsigned) j < subtable->slots; j++) {
        node = nodelist[j];
        if (node != NULL) {
        used++;
        }
    }
    }

    /* Constant table. */
    subtable = &(dd->constants);
    nodelist = subtable->nodelist;
    for (j = 0; (unsigned) j < subtable->slots; j++) {
    node = nodelist[j];
    if (node != NULL) {
        used++;
    }
    }

    return((double)used / (double) dd->slots);

} /* end of Cudd_ReadUsedSlots */


/**Function********************************************************************

  Synopsis    [Computes the expected fraction of used slots in the unique
  table.]

  Description [Computes the fraction of slots in the unique table that
  should be in use. This expected value is based on the assumption
  that the hash function distributes the keys randomly; it can be
  compared with the result of Cudd_ReadUsedSlots to monitor the
  performance of the unique table hash function.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadSlots Cudd_ReadUsedSlots]

******************************************************************************/
double
Cudd_ExpectedUsedSlots(
  DdManager * dd)
{
    int i;
    int size = dd->size;
    DdSubtable *subtable;
    double empty = 0.0;

    /* To each subtable we apply the corollary to Theorem 8.5 (occupancy
    ** distribution) from Sedgewick and Flajolet's Analysis of Algorithms.
    ** The corollary says that for a a table with M buckets and a load ratio
    ** of r, the expected number of empty buckets is asymptotically given
    ** by M * exp(-r).
    */

    /* Scan each BDD/ADD subtable. */
    for (i = 0; i < size; i++) {
    subtable = &(dd->subtables[i]);
    empty += (double) subtable->slots *
        exp(-(double) subtable->keys / (double) subtable->slots);
    }

    /* Scan the ZDD subtables. */
    size = dd->sizeZ;

    for (i = 0; i < size; i++) {
    subtable = &(dd->subtableZ[i]);
    empty += (double) subtable->slots *
        exp(-(double) subtable->keys / (double) subtable->slots);
    }

    /* Constant table. */
    subtable = &(dd->constants);
    empty += (double) subtable->slots *
    exp(-(double) subtable->keys / (double) subtable->slots);

    return(1.0 - empty / (double) dd->slots);

} /* end of Cudd_ExpectedUsedSlots */


/**Function********************************************************************

  Synopsis    [Returns the number of nodes in the unique table.]

  Description [Returns the total number of nodes currently in the unique
  table, including the dead nodes.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadDead]

******************************************************************************/
unsigned int
Cudd_ReadKeys(
  DdManager * dd)
{
    return(dd->keys);

} /* end of Cudd_ReadKeys */


/**Function********************************************************************

  Synopsis    [Returns the number of dead nodes in the unique table.]

  Description []

  SideEffects [None]

  SeeAlso     [Cudd_ReadKeys]

******************************************************************************/
unsigned int
Cudd_ReadDead(
  DdManager * dd)
{
    return(dd->dead);

} /* end of Cudd_ReadDead */


/**Function********************************************************************

  Synopsis    [Reads the minDead parameter of the manager.]

  Description [Reads the minDead parameter of the manager. The minDead
  parameter is used by the package to decide whether to collect garbage
  or resize a subtable of the unique table when the subtable becomes
  too full. The application can indirectly control the value of minDead
  by setting the looseUpTo parameter.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadDead Cudd_ReadLooseUpTo Cudd_SetLooseUpTo]

******************************************************************************/
unsigned int
Cudd_ReadMinDead(
  DdManager * dd)
{
    return(dd->minDead);

} /* end of Cudd_ReadMinDead */


/**Function********************************************************************

  Synopsis    [Returns the number of times reordering has occurred.]

  Description [Returns the number of times reordering has occurred in the
  manager. The number includes both the calls to Cudd_ReduceHeap from
  the application program and those automatically performed by the
  package. However, calls that do not even initiate reordering are not
  counted. A call may not initiate reordering if there are fewer than
  minsize live nodes in the manager, or if CUDD_REORDER_NONE is specified
  as reordering method. The calls to Cudd_ShuffleHeap are not counted.]

  SideEffects [None]

  SeeAlso [Cudd_ReduceHeap Cudd_ReadReorderingTime]

******************************************************************************/
int
Cudd_ReadReorderings(
  DdManager * dd)
{
    return(dd->reorderings);

} /* end of Cudd_ReadReorderings */


/**Function********************************************************************

  Synopsis    [Returns the time spent in reordering.]

  Description [Returns the number of milliseconds spent reordering
  variables since the manager was initialized. The time spent in collecting
  garbage before reordering is included.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadReorderings]

******************************************************************************/
long
Cudd_ReadReorderingTime(
  DdManager * dd)
{
    return(dd->reordTime);

} /* end of Cudd_ReadReorderingTime */


/**Function********************************************************************

  Synopsis    [Returns the number of times garbage collection has occurred.]

  Description [Returns the number of times garbage collection has
  occurred in the manager. The number includes both the calls from
  reordering procedures and those caused by requests to create new
  nodes.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadGarbageCollectionTime]

******************************************************************************/
int
Cudd_ReadGarbageCollections(
  DdManager * dd)
{
    return(dd->garbageCollections);

} /* end of Cudd_ReadGarbageCollections */


/**Function********************************************************************

  Synopsis    [Returns the time spent in garbage collection.]

  Description [Returns the number of milliseconds spent doing garbage
  collection since the manager was initialized.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadGarbageCollections]

******************************************************************************/
long
Cudd_ReadGarbageCollectionTime(
  DdManager * dd)
{
    return(dd->GCTime);

} /* end of Cudd_ReadGarbageCollectionTime */


/**Function********************************************************************

  Synopsis    [Returns the number of nodes freed.]

  Description [Returns the number of nodes returned to the free list if the
  keeping of this statistic is enabled; -1 otherwise. This statistic is
  enabled only if the package is compiled with DD_STATS defined.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadNodesDropped]

******************************************************************************/
double
Cudd_ReadNodesFreed(
  DdManager * dd)
{
#ifdef DD_STATS
    return(dd->nodesFreed);
#else
    return(-1.0);
#endif

} /* end of Cudd_ReadNodesFreed */


/**Function********************************************************************

  Synopsis    [Returns the number of nodes dropped.]

  Description [Returns the number of nodes killed by dereferencing if the
  keeping of this statistic is enabled; -1 otherwise. This statistic is
  enabled only if the package is compiled with DD_STATS defined.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadNodesFreed]

******************************************************************************/
double
Cudd_ReadNodesDropped(
  DdManager * dd)
{
#ifdef DD_STATS
    return(dd->nodesDropped);
#else
    return(-1.0);
#endif

} /* end of Cudd_ReadNodesDropped */


/**Function********************************************************************

  Synopsis    [Returns the number of look-ups in the unique table.]

  Description [Returns the number of look-ups in the unique table if the
  keeping of this statistic is enabled; -1 otherwise. This statistic is
  enabled only if the package is compiled with DD_UNIQUE_PROFILE defined.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadUniqueLinks]

******************************************************************************/
double
Cudd_ReadUniqueLookUps(
  DdManager * dd)
{
#ifdef DD_UNIQUE_PROFILE
    return(dd->uniqueLookUps);
#else
    return(-1.0);
#endif

} /* end of Cudd_ReadUniqueLookUps */


/**Function********************************************************************

  Synopsis    [Returns the number of links followed in the unique table.]

  Description [Returns the number of links followed during look-ups in the
  unique table if the keeping of this statistic is enabled; -1 otherwise.
  If an item is found in the first position of its collision list, the
  number of links followed is taken to be 0. If it is in second position,
  the number of links is 1, and so on. This statistic is enabled only if
  the package is compiled with DD_UNIQUE_PROFILE defined.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadUniqueLookUps]

******************************************************************************/
double
Cudd_ReadUniqueLinks(
  DdManager * dd)
{
#ifdef DD_UNIQUE_PROFILE
    return(dd->uniqueLinks);
#else
    return(-1.0);
#endif

} /* end of Cudd_ReadUniqueLinks */


/**Function********************************************************************

  Synopsis    [Reads the siftMaxVar parameter of the manager.]

  Description [Reads the siftMaxVar parameter of the manager. This
  parameter gives the maximum number of variables that will be sifted
  for each invocation of sifting.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadSiftMaxSwap Cudd_SetSiftMaxVar]

******************************************************************************/
int
Cudd_ReadSiftMaxVar(
  DdManager * dd)
{
    return(dd->siftMaxVar);

} /* end of Cudd_ReadSiftMaxVar */


/**Function********************************************************************

  Synopsis    [Sets the siftMaxVar parameter of the manager.]

  Description [Sets the siftMaxVar parameter of the manager. This
  parameter gives the maximum number of variables that will be sifted
  for each invocation of sifting.]

  SideEffects [None]

  SeeAlso     [Cudd_SetSiftMaxSwap Cudd_ReadSiftMaxVar]

******************************************************************************/
void
Cudd_SetSiftMaxVar(
  DdManager * dd,
  int  smv)
{
    dd->siftMaxVar = smv;

} /* end of Cudd_SetSiftMaxVar */


/**Function********************************************************************

  Synopsis    [Reads the siftMaxSwap parameter of the manager.]

  Description [Reads the siftMaxSwap parameter of the manager. This
  parameter gives the maximum number of swaps that will be attempted
  for each invocation of sifting. The real number of swaps may exceed
  the set limit because the package will always complete the sifting
  of the variable that causes the limit to be reached.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadSiftMaxVar Cudd_SetSiftMaxSwap]

******************************************************************************/
int
Cudd_ReadSiftMaxSwap(
  DdManager * dd)
{
    return(dd->siftMaxSwap);

} /* end of Cudd_ReadSiftMaxSwap */


/**Function********************************************************************

  Synopsis    [Sets the siftMaxSwap parameter of the manager.]

  Description [Sets the siftMaxSwap parameter of the manager. This
  parameter gives the maximum number of swaps that will be attempted
  for each invocation of sifting. The real number of swaps may exceed
  the set limit because the package will always complete the sifting
  of the variable that causes the limit to be reached.]

  SideEffects [None]

  SeeAlso     [Cudd_SetSiftMaxVar Cudd_ReadSiftMaxSwap]

******************************************************************************/
void
Cudd_SetSiftMaxSwap(
  DdManager * dd,
  int  sms)
{
    dd->siftMaxSwap = sms;

} /* end of Cudd_SetSiftMaxSwap */


/**Function********************************************************************

  Synopsis    [Reads the maxGrowth parameter of the manager.]

  Description [Reads the maxGrowth parameter of the manager.  This
  parameter determines how much the number of nodes can grow during
  sifting of a variable.  Overall, sifting never increases the size of
  the decision diagrams.  This parameter only refers to intermediate
  results.  A lower value will speed up sifting, possibly at the
  expense of quality.]

  SideEffects [None]

  SeeAlso     [Cudd_SetMaxGrowth Cudd_ReadMaxGrowthAlternate]

******************************************************************************/
double
Cudd_ReadMaxGrowth(
  DdManager * dd)
{
    return(dd->maxGrowth);

} /* end of Cudd_ReadMaxGrowth */


/**Function********************************************************************

  Synopsis    [Sets the maxGrowth parameter of the manager.]

  Description [Sets the maxGrowth parameter of the manager.  This
  parameter determines how much the number of nodes can grow during
  sifting of a variable.  Overall, sifting never increases the size of
  the decision diagrams.  This parameter only refers to intermediate
  results.  A lower value will speed up sifting, possibly at the
  expense of quality.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadMaxGrowth Cudd_SetMaxGrowthAlternate]

******************************************************************************/
void
Cudd_SetMaxGrowth(
  DdManager * dd,
  double mg)
{
    dd->maxGrowth = mg;

} /* end of Cudd_SetMaxGrowth */


/**Function********************************************************************

  Synopsis    [Reads the maxGrowthAlt parameter of the manager.]

  Description [Reads the maxGrowthAlt parameter of the manager.  This
  parameter is analogous to the maxGrowth paramter, and is used every
  given number of reorderings instead of maxGrowth.  The number of
  reorderings is set with Cudd_SetReorderingCycle.  If the number of
  reorderings is 0 (default) maxGrowthAlt is never used.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadMaxGrowth Cudd_SetMaxGrowthAlternate
  Cudd_SetReorderingCycle Cudd_ReadReorderingCycle]

******************************************************************************/
double
Cudd_ReadMaxGrowthAlternate(
  DdManager * dd)
{
    return(dd->maxGrowthAlt);

} /* end of Cudd_ReadMaxGrowthAlternate */


/**Function********************************************************************

  Synopsis    [Sets the maxGrowthAlt parameter of the manager.]

  Description [Sets the maxGrowthAlt parameter of the manager.  This
  parameter is analogous to the maxGrowth paramter, and is used every
  given number of reorderings instead of maxGrowth.  The number of
  reorderings is set with Cudd_SetReorderingCycle.  If the number of
  reorderings is 0 (default) maxGrowthAlt is never used.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadMaxGrowthAlternate Cudd_SetMaxGrowth
  Cudd_SetReorderingCycle Cudd_ReadReorderingCycle]

******************************************************************************/
void
Cudd_SetMaxGrowthAlternate(
  DdManager * dd,
  double mg)
{
    dd->maxGrowthAlt = mg;

} /* end of Cudd_SetMaxGrowthAlternate */


/**Function********************************************************************

  Synopsis    [Reads the reordCycle parameter of the manager.]

  Description [Reads the reordCycle parameter of the manager.  This
  parameter determines how often the alternate threshold on maximum
  growth is used in reordering.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadMaxGrowthAlternate Cudd_SetMaxGrowthAlternate
  Cudd_SetReorderingCycle]

******************************************************************************/
int
Cudd_ReadReorderingCycle(
  DdManager * dd)
{
    return(dd->reordCycle);

} /* end of Cudd_ReadReorderingCycle */


/**Function********************************************************************

  Synopsis    [Sets the reordCycle parameter of the manager.]

  Description [Sets the reordCycle parameter of the manager.  This
  parameter determines how often the alternate threshold on maximum
  growth is used in reordering.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadMaxGrowthAlternate Cudd_SetMaxGrowthAlternate
  Cudd_ReadReorderingCycle]

******************************************************************************/
void
Cudd_SetReorderingCycle(
  DdManager * dd,
  int cycle)
{
    dd->reordCycle = cycle;

} /* end of Cudd_SetReorderingCycle */


/**Function********************************************************************

  Synopsis    [Returns the variable group tree of the manager.]

  Description []

  SideEffects [None]

  SeeAlso     [Cudd_SetTree Cudd_FreeTree Cudd_ReadZddTree]

******************************************************************************/
MtrNode *
Cudd_ReadTree(
  DdManager * dd)
{
    return(dd->tree);

} /* end of Cudd_ReadTree */


/**Function********************************************************************

  Synopsis    [Sets the variable group tree of the manager.]

  Description []

  SideEffects [None]

  SeeAlso     [Cudd_FreeTree Cudd_ReadTree Cudd_SetZddTree]

******************************************************************************/
void
Cudd_SetTree(
  DdManager * dd,
  MtrNode * tree)
{
    if (dd->tree != NULL) {
    Mtr_FreeTree(dd->tree);
    }
    dd->tree = tree;
    if (tree == NULL) return;

    fixVarTree(tree, dd->perm, dd->size);
    return;

} /* end of Cudd_SetTree */


/**Function********************************************************************

  Synopsis    [Frees the variable group tree of the manager.]

  Description []

  SideEffects [None]

  SeeAlso     [Cudd_SetTree Cudd_ReadTree Cudd_FreeZddTree]

******************************************************************************/
void
Cudd_FreeTree(
  DdManager * dd)
{
    if (dd->tree != NULL) {
    Mtr_FreeTree(dd->tree);
    dd->tree = NULL;
    }
    return;

} /* end of Cudd_FreeTree */


/**Function********************************************************************

  Synopsis    [Returns the variable group tree of the manager.]

  Description []

  SideEffects [None]

  SeeAlso     [Cudd_SetZddTree Cudd_FreeZddTree Cudd_ReadTree]

******************************************************************************/
MtrNode *
Cudd_ReadZddTree(
  DdManager * dd)
{
    return(dd->treeZ);

} /* end of Cudd_ReadZddTree */


/**Function********************************************************************

  Synopsis    [Sets the ZDD variable group tree of the manager.]

  Description []

  SideEffects [None]

  SeeAlso     [Cudd_FreeZddTree Cudd_ReadZddTree Cudd_SetTree]

******************************************************************************/
void
Cudd_SetZddTree(
  DdManager * dd,
  MtrNode * tree)
{
    if (dd->treeZ != NULL) {
    Mtr_FreeTree(dd->treeZ);
    }
    dd->treeZ = tree;
    if (tree == NULL) return;

    fixVarTree(tree, dd->permZ, dd->sizeZ);
    return;

} /* end of Cudd_SetZddTree */


/**Function********************************************************************

  Synopsis    [Frees the variable group tree of the manager.]

  Description []

  SideEffects [None]

  SeeAlso     [Cudd_SetZddTree Cudd_ReadZddTree Cudd_FreeTree]

******************************************************************************/
void
Cudd_FreeZddTree(
  DdManager * dd)
{
    if (dd->treeZ != NULL) {
    Mtr_FreeTree(dd->treeZ);
    dd->treeZ = NULL;
    }
    return;

} /* end of Cudd_FreeZddTree */


/**Function********************************************************************

  Synopsis    [Returns the index of the node.]

  Description [Returns the index of the node. The node pointer can be
  either regular or complemented.]

  SideEffects [None]

  SeeAlso [Cudd_ReadIndex]

******************************************************************************/
unsigned int
Cudd_NodeReadIndex(
  DdNode * node)
{
    return((unsigned int) Cudd_Regular(node)->index);

} /* end of Cudd_NodeReadIndex */


/**Function********************************************************************

  Synopsis    [Returns the current position of the i-th variable in the
  order.]

  Description [Returns the current position of the i-th variable in
  the order. If the index is CUDD_CONST_INDEX, returns
  CUDD_CONST_INDEX; otherwise, if the index is out of bounds returns
  -1.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadInvPerm Cudd_ReadPermZdd]

******************************************************************************/
int
Cudd_ReadPerm(
  DdManager * dd,
  int  i)
{
    if (i == CUDD_CONST_INDEX) return(CUDD_CONST_INDEX);
    if (i < 0 || i >= dd->size) return(-1);
    return(dd->perm[i]);

} /* end of Cudd_ReadPerm */


/**Function********************************************************************

  Synopsis    [Returns the current position of the i-th ZDD variable in the
  order.]

  Description [Returns the current position of the i-th ZDD variable
  in the order. If the index is CUDD_CONST_INDEX, returns
  CUDD_CONST_INDEX; otherwise, if the index is out of bounds returns
  -1.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadInvPermZdd Cudd_ReadPerm]

******************************************************************************/
int
Cudd_ReadPermZdd(
  DdManager * dd,
  int  i)
{
    if (i == CUDD_CONST_INDEX) return(CUDD_CONST_INDEX);
    if (i < 0 || i >= dd->sizeZ) return(-1);
    return(dd->permZ[i]);

} /* end of Cudd_ReadPermZdd */


/**Function********************************************************************

  Synopsis    [Returns the index of the variable currently in the i-th
  position of the order.]

  Description [Returns the index of the variable currently in the i-th
  position of the order. If the index is CUDD_CONST_INDEX, returns
  CUDD_CONST_INDEX; otherwise, if the index is out of bounds returns -1.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadPerm Cudd_ReadInvPermZdd]

******************************************************************************/
int
Cudd_ReadInvPerm(
  DdManager * dd,
  int  i)
{
    if (i == CUDD_CONST_INDEX) return(CUDD_CONST_INDEX);
    if (i < 0 || i >= dd->size) return(-1);
    return(dd->invperm[i]);

} /* end of Cudd_ReadInvPerm */


/**Function********************************************************************

  Synopsis    [Returns the index of the ZDD variable currently in the i-th
  position of the order.]

  Description [Returns the index of the ZDD variable currently in the
  i-th position of the order. If the index is CUDD_CONST_INDEX, returns
  CUDD_CONST_INDEX; otherwise, if the index is out of bounds returns -1.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadPerm Cudd_ReadInvPermZdd]

******************************************************************************/
int
Cudd_ReadInvPermZdd(
  DdManager * dd,
  int  i)
{
    if (i == CUDD_CONST_INDEX) return(CUDD_CONST_INDEX);
    if (i < 0 || i >= dd->sizeZ) return(-1);
    return(dd->invpermZ[i]);

} /* end of Cudd_ReadInvPermZdd */


/**Function********************************************************************

  Synopsis    [Returns the i-th element of the vars array.]

  Description [Returns the i-th element of the vars array if it falls
  within the array bounds; NULL otherwise. If i is the index of an
  existing variable, this function produces the same result as
  Cudd_bddIthVar. However, if the i-th var does not exist yet,
  Cudd_bddIthVar will create it, whereas Cudd_ReadVars will not.]

  SideEffects [None]

  SeeAlso     [Cudd_bddIthVar]

******************************************************************************/
DdNode *
Cudd_ReadVars(
  DdManager * dd,
  int  i)
{
    if (i < 0 || i > dd->size) return(NULL);
    return(dd->vars[i]);

} /* end of Cudd_ReadVars */


/**Function********************************************************************

  Synopsis    [Reads the epsilon parameter of the manager.]

  Description [Reads the epsilon parameter of the manager. The epsilon
  parameter control the comparison between floating point numbers.]

  SideEffects [None]

  SeeAlso     [Cudd_SetEpsilon]

******************************************************************************/
CUDD_VALUE_TYPE
Cudd_ReadEpsilon(
  DdManager * dd)
{
    return(dd->epsilon);

} /* end of Cudd_ReadEpsilon */


/**Function********************************************************************

  Synopsis    [Sets the epsilon parameter of the manager to ep.]

  Description [Sets the epsilon parameter of the manager to ep. The epsilon
  parameter control the comparison between floating point numbers.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadEpsilon]

******************************************************************************/
void
Cudd_SetEpsilon(
  DdManager * dd,
  CUDD_VALUE_TYPE  ep)
{
    dd->epsilon = ep;

} /* end of Cudd_SetEpsilon */


/**Function********************************************************************

  Synopsis    [Reads the groupcheck parameter of the manager.]

  Description [Reads the groupcheck parameter of the manager. The
  groupcheck parameter determines the aggregation criterion in group
  sifting.]

  SideEffects [None]

  SeeAlso     [Cudd_SetGroupcheck]

******************************************************************************/
Cudd_AggregationType
Cudd_ReadGroupcheck(
  DdManager * dd)
{
    return(dd->groupcheck);

} /* end of Cudd_ReadGroupCheck */


/**Function********************************************************************

  Synopsis    [Sets the parameter groupcheck of the manager to gc.]

  Description [Sets the parameter groupcheck of the manager to gc. The
  groupcheck parameter determines the aggregation criterion in group
  sifting.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadGroupCheck]

******************************************************************************/
void
Cudd_SetGroupcheck(
  DdManager * dd,
  Cudd_AggregationType gc)
{
    dd->groupcheck = gc;

} /* end of Cudd_SetGroupcheck */


/**Function********************************************************************

  Synopsis    [Tells whether garbage collection is enabled.]

  Description [Returns 1 if garbage collection is enabled; 0 otherwise.]

  SideEffects [None]

  SeeAlso     [Cudd_EnableGarbageCollection Cudd_DisableGarbageCollection]

******************************************************************************/
int
Cudd_GarbageCollectionEnabled(
  DdManager * dd)
{
    return(dd->gcEnabled);

} /* end of Cudd_GarbageCollectionEnabled */


/**Function********************************************************************

  Synopsis    [Enables garbage collection.]

  Description [Enables garbage collection. Garbage collection is
  initially enabled. Therefore it is necessary to call this function
  only if garbage collection has been explicitly disabled.]

  SideEffects [None]

  SeeAlso     [Cudd_DisableGarbageCollection Cudd_GarbageCollectionEnabled]

******************************************************************************/
void
Cudd_EnableGarbageCollection(
  DdManager * dd)
{
    dd->gcEnabled = 1;

} /* end of Cudd_EnableGarbageCollection */


/**Function********************************************************************

  Synopsis    [Disables garbage collection.]

  Description [Disables garbage collection. Garbage collection is
  initially enabled. This function may be called to disable it.
  However, garbage collection will still occur when a new node must be
  created and no memory is left, or when garbage collection is required
  for correctness. (E.g., before reordering.)]

  SideEffects [None]

  SeeAlso     [Cudd_EnableGarbageCollection Cudd_GarbageCollectionEnabled]

******************************************************************************/
void
Cudd_DisableGarbageCollection(
  DdManager * dd)
{
    dd->gcEnabled = 0;

} /* end of Cudd_DisableGarbageCollection */


/**Function********************************************************************

  Synopsis    [Tells whether dead nodes are counted towards triggering
  reordering.]

  Description [Tells whether dead nodes are counted towards triggering
  reordering. Returns 1 if dead nodes are counted; 0 otherwise.]

  SideEffects [None]

  SeeAlso     [Cudd_TurnOnCountDead Cudd_TurnOffCountDead]

******************************************************************************/
int
Cudd_DeadAreCounted(
  DdManager * dd)
{
    return(dd->countDead == 0 ? 1 : 0);

} /* end of Cudd_DeadAreCounted */


/**Function********************************************************************

  Synopsis    [Causes the dead nodes to be counted towards triggering
  reordering.]

  Description [Causes the dead nodes to be counted towards triggering
  reordering. This causes more frequent reorderings. By default dead
  nodes are not counted.]

  SideEffects [Changes the manager.]

  SeeAlso     [Cudd_TurnOffCountDead Cudd_DeadAreCounted]

******************************************************************************/
void
Cudd_TurnOnCountDead(
  DdManager * dd)
{
    dd->countDead = 0;

} /* end of Cudd_TurnOnCountDead */


/**Function********************************************************************

  Synopsis    [Causes the dead nodes not to be counted towards triggering
  reordering.]

  Description [Causes the dead nodes not to be counted towards
  triggering reordering. This causes less frequent reorderings. By
  default dead nodes are not counted. Therefore there is no need to
  call this function unless Cudd_TurnOnCountDead has been previously
  called.]

  SideEffects [Changes the manager.]

  SeeAlso     [Cudd_TurnOnCountDead Cudd_DeadAreCounted]

******************************************************************************/
void
Cudd_TurnOffCountDead(
  DdManager * dd)
{
    dd->countDead = ~0;

} /* end of Cudd_TurnOffCountDead */


/**Function********************************************************************

  Synopsis    [Returns the current value of the recombination parameter used
  in group sifting.]

  Description [Returns the current value of the recombination
  parameter used in group sifting. A larger (positive) value makes the
  aggregation of variables due to the second difference criterion more
  likely. A smaller (negative) value makes aggregation less likely.]

  SideEffects [None]

  SeeAlso     [Cudd_SetRecomb]

******************************************************************************/
int
Cudd_ReadRecomb(
  DdManager * dd)
{
    return(dd->recomb);

} /* end of Cudd_ReadRecomb */


/**Function********************************************************************

  Synopsis    [Sets the value of the recombination parameter used in group
  sifting.]

  Description [Sets the value of the recombination parameter used in
  group sifting. A larger (positive) value makes the aggregation of
  variables due to the second difference criterion more likely. A
  smaller (negative) value makes aggregation less likely. The default
  value is 0.]

  SideEffects [Changes the manager.]

  SeeAlso     [Cudd_ReadRecomb]

******************************************************************************/
void
Cudd_SetRecomb(
  DdManager * dd,
  int  recomb)
{
    dd->recomb = recomb;

} /* end of Cudd_SetRecomb */


/**Function********************************************************************

  Synopsis    [Returns the current value of the symmviolation parameter used
  in group sifting.]

  Description [Returns the current value of the symmviolation
  parameter. This parameter is used in group sifting to decide how
  many violations to the symmetry conditions <code>f10 = f01</code> or
  <code>f11 = f00</code> are tolerable when checking for aggregation
  due to extended symmetry. The value should be between 0 and 100. A
  small value causes fewer variables to be aggregated. The default
  value is 0.]

  SideEffects [None]

  SeeAlso     [Cudd_SetSymmviolation]

******************************************************************************/
int
Cudd_ReadSymmviolation(
  DdManager * dd)
{
    return(dd->symmviolation);

} /* end of Cudd_ReadSymmviolation */


/**Function********************************************************************

  Synopsis    [Sets the value of the symmviolation parameter used
  in group sifting.]

  Description [Sets the value of the symmviolation
  parameter. This parameter is used in group sifting to decide how
  many violations to the symmetry conditions <code>f10 = f01</code> or
  <code>f11 = f00</code> are tolerable when checking for aggregation
  due to extended symmetry. The value should be between 0 and 100. A
  small value causes fewer variables to be aggregated. The default
  value is 0.]

  SideEffects [Changes the manager.]

  SeeAlso     [Cudd_ReadSymmviolation]

******************************************************************************/
void
Cudd_SetSymmviolation(
  DdManager * dd,
  int  symmviolation)
{
    dd->symmviolation = symmviolation;

} /* end of Cudd_SetSymmviolation */


/**Function********************************************************************

  Synopsis    [Returns the current value of the arcviolation parameter used
  in group sifting.]

  Description [Returns the current value of the arcviolation
  parameter. This parameter is used in group sifting to decide how
  many arcs into <code>y</code> not coming from <code>x</code> are
  tolerable when checking for aggregation due to extended
  symmetry. The value should be between 0 and 100. A small value
  causes fewer variables to be aggregated. The default value is 0.]

  SideEffects [None]

  SeeAlso     [Cudd_SetArcviolation]

******************************************************************************/
int
Cudd_ReadArcviolation(
  DdManager * dd)
{
    return(dd->arcviolation);

} /* end of Cudd_ReadArcviolation */


/**Function********************************************************************

  Synopsis    [Sets the value of the arcviolation parameter used
  in group sifting.]

  Description [Sets the value of the arcviolation
  parameter. This parameter is used in group sifting to decide how
  many arcs into <code>y</code> not coming from <code>x</code> are
  tolerable when checking for aggregation due to extended
  symmetry. The value should be between 0 and 100. A small value
  causes fewer variables to be aggregated. The default value is 0.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadArcviolation]

******************************************************************************/
void
Cudd_SetArcviolation(
  DdManager * dd,
  int  arcviolation)
{
    dd->arcviolation = arcviolation;

} /* end of Cudd_SetArcviolation */


/**Function********************************************************************

  Synopsis    [Reads the current size of the population used by the
  genetic algorithm for reordering.]

  Description [Reads the current size of the population used by the
  genetic algorithm for variable reordering. A larger population size will
  cause the genetic algorithm to take more time, but will generally
  produce better results. The default value is 0, in which case the
  package uses three times the number of variables as population size,
  with a maximum of 120.]

  SideEffects [None]

  SeeAlso     [Cudd_SetPopulationSize]

******************************************************************************/
int
Cudd_ReadPopulationSize(
  DdManager * dd)
{
    return(dd->populationSize);

} /* end of Cudd_ReadPopulationSize */


/**Function********************************************************************

  Synopsis    [Sets the size of the population used by the
  genetic algorithm for reordering.]

  Description [Sets the size of the population used by the
  genetic algorithm for variable reordering. A larger population size will
  cause the genetic algorithm to take more time, but will generally
  produce better results. The default value is 0, in which case the
  package uses three times the number of variables as population size,
  with a maximum of 120.]

  SideEffects [Changes the manager.]

  SeeAlso     [Cudd_ReadPopulationSize]

******************************************************************************/
void
Cudd_SetPopulationSize(
  DdManager * dd,
  int  populationSize)
{
    dd->populationSize = populationSize;

} /* end of Cudd_SetPopulationSize */


/**Function********************************************************************

  Synopsis    [Reads the current number of crossovers used by the
  genetic algorithm for reordering.]

  Description [Reads the current number of crossovers used by the
  genetic algorithm for variable reordering. A larger number of crossovers will
  cause the genetic algorithm to take more time, but will generally
  produce better results. The default value is 0, in which case the
  package uses three times the number of variables as number of crossovers,
  with a maximum of 60.]

  SideEffects [None]

  SeeAlso     [Cudd_SetNumberXovers]

******************************************************************************/
int
Cudd_ReadNumberXovers(
  DdManager * dd)
{
    return(dd->numberXovers);

} /* end of Cudd_ReadNumberXovers */


/**Function********************************************************************

  Synopsis    [Sets the number of crossovers used by the
  genetic algorithm for reordering.]

  Description [Sets the number of crossovers used by the genetic
  algorithm for variable reordering. A larger number of crossovers
  will cause the genetic algorithm to take more time, but will
  generally produce better results. The default value is 0, in which
  case the package uses three times the number of variables as number
  of crossovers, with a maximum of 60.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadNumberXovers]

******************************************************************************/
void
Cudd_SetNumberXovers(
  DdManager * dd,
  int  numberXovers)
{
    dd->numberXovers = numberXovers;

} /* end of Cudd_SetNumberXovers */

/**Function********************************************************************

  Synopsis    [Returns the memory in use by the manager measured in bytes.]

  Description []

  SideEffects [None]

  SeeAlso     []

******************************************************************************/
long
Cudd_ReadMemoryInUse(
  DdManager * dd)
{
    return(dd->memused);

} /* end of Cudd_ReadMemoryInUse */


/**Function********************************************************************

  Synopsis    [Prints out statistics and settings for a CUDD manager.]

  Description [Prints out statistics and settings for a CUDD manager.
  Returns 1 if successful; 0 otherwise.]

  SideEffects [None]

  SeeAlso     []

******************************************************************************/
int
Cudd_PrintInfo(
  DdManager * dd,
  FILE * fp)
{
    int retval;
    Cudd_ReorderingType autoMethod, autoMethodZ;

    /* Modifiable parameters. */
    retval = fprintf(fp,"**** CUDD modifiable parameters ****\n");
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Hard limit for cache size: %u\n",
             Cudd_ReadMaxCacheHard(dd));
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Cache hit threshold for resizing: %u%%\n",
             Cudd_ReadMinHit(dd));
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Garbage collection enabled: %s\n",
             Cudd_GarbageCollectionEnabled(dd) ? "yes" : "no");
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Limit for fast unique table growth: %u\n",
             Cudd_ReadLooseUpTo(dd));
    if (retval == EOF) return(0);
    retval = fprintf(fp,
             "Maximum number of variables sifted per reordering: %d\n",
             Cudd_ReadSiftMaxVar(dd));
    if (retval == EOF) return(0);
    retval = fprintf(fp,
             "Maximum number of variable swaps per reordering: %d\n",
             Cudd_ReadSiftMaxSwap(dd));
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Maximum growth while sifting a variable: %g\n",
             Cudd_ReadMaxGrowth(dd));
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Dynamic reordering of BDDs enabled: %s\n",
             Cudd_ReorderingStatus(dd,&autoMethod) ? "yes" : "no");
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Default BDD reordering method: %d\n", autoMethod);
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Dynamic reordering of ZDDs enabled: %s\n",
             Cudd_ReorderingStatusZdd(dd,&autoMethodZ) ? "yes" : "no");
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Default ZDD reordering method: %d\n", autoMethodZ);
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Realignment of ZDDs to BDDs enabled: %s\n",
             Cudd_zddRealignmentEnabled(dd) ? "yes" : "no");
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Realignment of BDDs to ZDDs enabled: %s\n",
             Cudd_bddRealignmentEnabled(dd) ? "yes" : "no");
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Dead nodes counted in triggering reordering: %s\n",
             Cudd_DeadAreCounted(dd) ? "yes" : "no");
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Group checking criterion: %d\n",
             Cudd_ReadGroupcheck(dd));
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Recombination threshold: %d\n", Cudd_ReadRecomb(dd));
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Symmetry violation threshold: %d\n",
             Cudd_ReadSymmviolation(dd));
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Arc violation threshold: %d\n",
             Cudd_ReadArcviolation(dd));
    if (retval == EOF) return(0);
    retval = fprintf(fp,"GA population size: %d\n",
             Cudd_ReadPopulationSize(dd));
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Number of crossovers for GA: %d\n",
             Cudd_ReadNumberXovers(dd));
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Next reordering threshold: %u\n",
             Cudd_ReadNextReordering(dd));
    if (retval == EOF) return(0);

    /* Non-modifiable parameters. */
    retval = fprintf(fp,"**** CUDD non-modifiable parameters ****\n");
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Memory in use: %ld\n", Cudd_ReadMemoryInUse(dd));
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Peak number of nodes: %ld\n",
             Cudd_ReadPeakNodeCount(dd));
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Peak number of live nodes: %d\n",
             Cudd_ReadPeakLiveNodeCount(dd));
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Number of BDD variables: %d\n", dd->size);
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Number of ZDD variables: %d\n", dd->sizeZ);
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Number of cache entries: %u\n", dd->cacheSlots);
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Number of cache look-ups: %.0f\n",
             Cudd_ReadCacheLookUps(dd));
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Number of cache hits: %.0f\n",
             Cudd_ReadCacheHits(dd));
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Number of cache insertions: %.0f\n",
             dd->cacheinserts);
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Number of cache collisions: %.0f\n",
             dd->cachecollisions);
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Number of cache deletions: %.0f\n",
             dd->cachedeletions);
    if (retval == EOF) return(0);
    retval = cuddCacheProfile(dd,fp);
    if (retval == 0) return(0);
    retval = fprintf(fp,"Soft limit for cache size: %u\n",
             Cudd_ReadMaxCache(dd));
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Number of buckets in unique table: %u\n", dd->slots);
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Used buckets in unique table: %.2f%% (expected %.2f%%)\n",
             100.0 * Cudd_ReadUsedSlots(dd),
             100.0 * Cudd_ExpectedUsedSlots(dd));
    if (retval == EOF) return(0);
#ifdef DD_UNIQUE_PROFILE
    retval = fprintf(fp,"Unique lookups: %.0f\n", dd->uniqueLookUps);
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Unique links: %.0f (%g per lookup)\n",
        dd->uniqueLinks, dd->uniqueLinks / dd->uniqueLookUps);
    if (retval == EOF) return(0);
#endif
    retval = fprintf(fp,"Number of BDD and ADD nodes: %u\n", dd->keys);
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Number of ZDD nodes: %u\n", dd->keysZ);
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Number of dead BDD and ADD nodes: %u\n", dd->dead);
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Number of dead ZDD nodes: %u\n", dd->deadZ);
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Total number of nodes allocated: %.0f\n",
             dd->allocated);
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Total number of nodes reclaimed: %.0f\n",
             dd->reclaimed);
    if (retval == EOF) return(0);
#if DD_STATS
    retval = fprintf(fp,"Nodes freed: %.0f\n", dd->nodesFreed);
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Nodes dropped: %.0f\n", dd->nodesDropped);
    if (retval == EOF) return(0);
#endif
#if DD_COUNT
    retval = fprintf(fp,"Number of recursive calls: %.0f\n",
             Cudd_ReadRecursiveCalls(dd));
    if (retval == EOF) return(0);
#endif
    retval = fprintf(fp,"Garbage collections so far: %d\n",
             Cudd_ReadGarbageCollections(dd));
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Time for garbage collection: %.2f sec\n",
             ((double)Cudd_ReadGarbageCollectionTime(dd)/1000.0));
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Reorderings so far: %d\n", dd->reorderings);
    if (retval == EOF) return(0);
    retval = fprintf(fp,"Time for reordering: %.2f sec\n",
             ((double)Cudd_ReadReorderingTime(dd)/1000.0));
    if (retval == EOF) return(0);
#if DD_COUNT
    retval = fprintf(fp,"Node swaps in reordering: %.0f\n",
    Cudd_ReadSwapSteps(dd));
    if (retval == EOF) return(0);
#endif

    return(1);

} /* end of Cudd_PrintInfo */


/**Function********************************************************************

  Synopsis    [Reports the peak number of nodes.]

  Description [Reports the peak number of nodes. This number includes
  node on the free list. At the peak, the number of nodes on the free
  list is guaranteed to be less than DD_MEM_CHUNK.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadNodeCount Cudd_PrintInfo]

******************************************************************************/
long
Cudd_ReadPeakNodeCount(
  DdManager * dd)
{
    long count = 0;
    DdNodePtr *scan = dd->memoryList;

    while (scan != NULL) {
    count += DD_MEM_CHUNK;
    scan = (DdNodePtr *) *scan;
    }
    return(count);

} /* end of Cudd_ReadPeakNodeCount */


/**Function********************************************************************

  Synopsis    [Reports the peak number of live nodes.]

  Description [Reports the peak number of live nodes. This count is kept
  only if CUDD is compiled with DD_STATS defined. If DD_STATS is not
  defined, this function returns -1.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadNodeCount Cudd_PrintInfo Cudd_ReadPeakNodeCount]

******************************************************************************/
int
Cudd_ReadPeakLiveNodeCount(
  DdManager * dd)
{
    unsigned int live = dd->keys - dd->dead;

    if (live > dd->peakLiveNodes) {
    dd->peakLiveNodes = live;
    }
    return((int)dd->peakLiveNodes);

} /* end of Cudd_ReadPeakLiveNodeCount */


/**Function********************************************************************

  Synopsis    [Reports the number of nodes in BDDs and ADDs.]

  Description [Reports the number of live nodes in BDDs and ADDs. This
  number does not include the isolated projection functions and the
  unused constants. These nodes that are not counted are not part of
  the DDs manipulated by the application.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadPeakNodeCount Cudd_zddReadNodeCount]

******************************************************************************/
long
Cudd_ReadNodeCount(
  DdManager * dd)
{
    long count;
    int i;

#ifndef DD_NO_DEATH_ROW
    cuddClearDeathRow(dd);
#endif

    count = dd->keys - dd->dead;

    /* Count isolated projection functions. Their number is subtracted
    ** from the node count because they are not part of the BDDs.
    */
    for (i=0; i < dd->size; i++) {
    if (dd->vars[i]->ref == 1) count--;
    }
    /* Subtract from the count the unused constants. */
    if (DD_ZERO(dd)->ref == 1) count--;
    if (DD_PLUS_INFINITY(dd)->ref == 1) count--;
    if (DD_MINUS_INFINITY(dd)->ref == 1) count--;

    return(count);

} /* end of Cudd_ReadNodeCount */



/**Function********************************************************************

  Synopsis    [Reports the number of nodes in ZDDs.]

  Description [Reports the number of nodes in ZDDs. This
  number always includes the two constants 1 and 0.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadPeakNodeCount Cudd_ReadNodeCount]

******************************************************************************/
long
Cudd_zddReadNodeCount(
  DdManager * dd)
{
    return(dd->keysZ - dd->deadZ + 2);

} /* end of Cudd_zddReadNodeCount */


/**Function********************************************************************

  Synopsis    [Adds a function to a hook.]

  Description [Adds a function to a hook. A hook is a list of
  application-provided functions called on certain occasions by the
  package. Returns 1 if the function is successfully added; 2 if the
  function was already in the list; 0 otherwise.]

  SideEffects [None]

  SeeAlso     [Cudd_RemoveHook]

******************************************************************************/
int
Cudd_AddHook(
  DdManager * dd,
  int (*f)(DdManager *, char *, void *) ,
  Cudd_HookType where)
{
    DdHook **hook, *nextHook, *newHook;

    switch (where) {
    case CUDD_PRE_GC_HOOK:
    hook = &(dd->preGCHook);
    break;
    case CUDD_POST_GC_HOOK:
    hook = &(dd->postGCHook);
    break;
    case CUDD_PRE_REORDERING_HOOK:
    hook = &(dd->preReorderingHook);
    break;
    case CUDD_POST_REORDERING_HOOK:
    hook = &(dd->postReorderingHook);
    break;
    default:
    return(0);
    }
    /* Scan the list and find whether the function is already there.
    ** If so, just return. */
    nextHook = *hook;
    while (nextHook != NULL) {
    if (nextHook->f == f) {
        return(2);
    }
    hook = &(nextHook->next);
    nextHook = nextHook->next;
    }
    /* The function was not in the list. Create a new item and append it
    ** to the end of the list. */
    newHook = ALLOC(DdHook,1);
    if (newHook == NULL) {
    dd->errorCode = CUDD_MEMORY_OUT;
    return(0);
    }
    newHook->next = NULL;
    newHook->f = f;
    *hook = newHook;
    return(1);

} /* end of Cudd_AddHook */


/**Function********************************************************************

  Synopsis    [Removes a function from a hook.]

  Description [Removes a function from a hook. A hook is a list of
  application-provided functions called on certain occasions by the
  package. Returns 1 if successful; 0 the function was not in the list.]

  SideEffects [None]

  SeeAlso     [Cudd_AddHook]

******************************************************************************/
int
Cudd_RemoveHook(
  DdManager * dd,
  int (*f)(DdManager *, char *, void *) ,
  Cudd_HookType where)
{
    DdHook **hook, *nextHook;

    switch (where) {
    case CUDD_PRE_GC_HOOK:
    hook = &(dd->preGCHook);
    break;
    case CUDD_POST_GC_HOOK:
    hook = &(dd->postGCHook);
    break;
    case CUDD_PRE_REORDERING_HOOK:
    hook = &(dd->preReorderingHook);
    break;
    case CUDD_POST_REORDERING_HOOK:
    hook = &(dd->postReorderingHook);
    break;
    default:
    return(0);
    }
    nextHook = *hook;
    while (nextHook != NULL) {
    if (nextHook->f == f) {
        *hook = nextHook->next;
        FREE(nextHook);
        return(1);
    }
    hook = &(nextHook->next);
    nextHook = nextHook->next;
    }

    return(0);

} /* end of Cudd_RemoveHook */


/**Function********************************************************************

  Synopsis    [Checks whether a function is in a hook.]

  Description [Checks whether a function is in a hook. A hook is a list of
  application-provided functions called on certain occasions by the
  package. Returns 1 if the function is found; 0 otherwise.]

  SideEffects [None]

  SeeAlso     [Cudd_AddHook Cudd_RemoveHook]

******************************************************************************/
int
Cudd_IsInHook(
  DdManager * dd,
  int (*f)(DdManager *, char *, void *) ,
  Cudd_HookType where)
{
    DdHook *hook;

    switch (where) {
    case CUDD_PRE_GC_HOOK:
    hook = dd->preGCHook;
    break;
    case CUDD_POST_GC_HOOK:
    hook = dd->postGCHook;
    break;
    case CUDD_PRE_REORDERING_HOOK:
    hook = dd->preReorderingHook;
    break;
    case CUDD_POST_REORDERING_HOOK:
    hook = dd->postReorderingHook;
    break;
    default:
    return(0);
    }
    /* Scan the list and find whether the function is already there. */
    while (hook != NULL) {
    if (hook->f == f) {
        return(1);
    }
    hook = hook->next;
    }
    return(0);

} /* end of Cudd_IsInHook */


/**Function********************************************************************

  Synopsis    [Sample hook function to call before reordering.]

  Description [Sample hook function to call before reordering.
  Prints on the manager's stdout reordering method and initial size.
  Returns 1 if successful; 0 otherwise.]

  SideEffects [None]

  SeeAlso     [Cudd_StdPostReordHook]

******************************************************************************/
int
Cudd_StdPreReordHook(
  DdManager *dd,
  char *str,
  void *data)
{
    Cudd_ReorderingType method = (Cudd_ReorderingType) (ptruint) data;
    int retval;

    retval = fprintf(dd->out,"%s reordering with ", str);
    if (retval == EOF) return(0);
    switch (method) {
    case CUDD_REORDER_SIFT_CONVERGE:
    case CUDD_REORDER_SYMM_SIFT_CONV:
    case CUDD_REORDER_GROUP_SIFT_CONV:
    case CUDD_REORDER_WINDOW2_CONV:
    case CUDD_REORDER_WINDOW3_CONV:
    case CUDD_REORDER_WINDOW4_CONV:
    case CUDD_REORDER_LINEAR_CONVERGE:
    retval = fprintf(dd->out,"converging ");
    if (retval == EOF) return(0);
    break;
    default:
    break;
    }
    switch (method) {
    case CUDD_REORDER_RANDOM:
    case CUDD_REORDER_RANDOM_PIVOT:
    retval = fprintf(dd->out,"random");
    break;
    case CUDD_REORDER_SIFT:
    case CUDD_REORDER_SIFT_CONVERGE:
    retval = fprintf(dd->out,"sifting");
    break;
    case CUDD_REORDER_SYMM_SIFT:
    case CUDD_REORDER_SYMM_SIFT_CONV:
    retval = fprintf(dd->out,"symmetric sifting");
    break;
    case CUDD_REORDER_LAZY_SIFT:
    retval = fprintf(dd->out,"lazy sifting");
    break;
    case CUDD_REORDER_GROUP_SIFT:
    case CUDD_REORDER_GROUP_SIFT_CONV:
    retval = fprintf(dd->out,"group sifting");
    break;
    case CUDD_REORDER_WINDOW2:
    case CUDD_REORDER_WINDOW3:
    case CUDD_REORDER_WINDOW4:
    case CUDD_REORDER_WINDOW2_CONV:
    case CUDD_REORDER_WINDOW3_CONV:
    case CUDD_REORDER_WINDOW4_CONV:
    retval = fprintf(dd->out,"window");
    break;
    case CUDD_REORDER_ANNEALING:
    retval = fprintf(dd->out,"annealing");
    break;
    case CUDD_REORDER_GENETIC:
    retval = fprintf(dd->out,"genetic");
    break;
    case CUDD_REORDER_LINEAR:
    case CUDD_REORDER_LINEAR_CONVERGE:
    retval = fprintf(dd->out,"linear sifting");
    break;
    case CUDD_REORDER_EXACT:
    retval = fprintf(dd->out,"exact");
    break;
    default:
    return(0);
    }
    if (retval == EOF) return(0);

    retval = fprintf(dd->out,": from %ld to ... ", strcmp(str, "BDD") == 0 ?
             Cudd_ReadNodeCount(dd) : Cudd_zddReadNodeCount(dd));
    if (retval == EOF) return(0);
    fflush(dd->out);
    return(1);

} /* end of Cudd_StdPreReordHook */


/**Function********************************************************************

  Synopsis    [Sample hook function to call after reordering.]

  Description [Sample hook function to call after reordering.
  Prints on the manager's stdout final size and reordering time.
  Returns 1 if successful; 0 otherwise.]

  SideEffects [None]

  SeeAlso     [Cudd_StdPreReordHook]

******************************************************************************/
int
Cudd_StdPostReordHook(
  DdManager *dd,
  char *str,
  void *data)
{
    long initialTime = (long) data;
    int retval;
    long finalTime = util_cpu_time();
    double totalTimeSec = (double)(finalTime - initialTime) / 1000.0;

    retval = fprintf(dd->out,"%ld nodes in %g sec\n", strcmp(str, "BDD") == 0 ?
             Cudd_ReadNodeCount(dd) : Cudd_zddReadNodeCount(dd),
             totalTimeSec);
    if (retval == EOF) return(0);
    retval = fflush(dd->out);
    if (retval == EOF) return(0);
    return(1);

} /* end of Cudd_StdPostReordHook */


/**Function********************************************************************

  Synopsis    [Enables reporting of reordering stats.]

  Description [Enables reporting of reordering stats.
  Returns 1 if successful; 0 otherwise.]

  SideEffects [Installs functions in the pre-reordering and post-reordering
  hooks.]

  SeeAlso     [Cudd_DisableReorderingReporting Cudd_ReorderingReporting]

******************************************************************************/
int
Cudd_EnableReorderingReporting(
  DdManager *dd)
{
    if (!Cudd_AddHook(dd, Cudd_StdPreReordHook, CUDD_PRE_REORDERING_HOOK)) {
    return(0);
    }
    if (!Cudd_AddHook(dd, Cudd_StdPostReordHook, CUDD_POST_REORDERING_HOOK)) {
    return(0);
    }
    return(1);

} /* end of Cudd_EnableReorderingReporting */


/**Function********************************************************************

  Synopsis    [Disables reporting of reordering stats.]

  Description [Disables reporting of reordering stats.
  Returns 1 if successful; 0 otherwise.]

  SideEffects [Removes functions from the pre-reordering and post-reordering
  hooks.]

  SeeAlso     [Cudd_EnableReorderingReporting Cudd_ReorderingReporting]

******************************************************************************/
int
Cudd_DisableReorderingReporting(
  DdManager *dd)
{
    if (!Cudd_RemoveHook(dd, Cudd_StdPreReordHook, CUDD_PRE_REORDERING_HOOK)) {
    return(0);
    }
    if (!Cudd_RemoveHook(dd, Cudd_StdPostReordHook, CUDD_POST_REORDERING_HOOK)) {
    return(0);
    }
    return(1);

} /* end of Cudd_DisableReorderingReporting */


/**Function********************************************************************

  Synopsis    [Returns 1 if reporting of reordering stats is enabled.]

  Description [Returns 1 if reporting of reordering stats is enabled;
  0 otherwise.]

  SideEffects [none]

  SeeAlso     [Cudd_EnableReorderingReporting Cudd_DisableReorderingReporting]

******************************************************************************/
int
Cudd_ReorderingReporting(
  DdManager *dd)
{
    return(Cudd_IsInHook(dd, Cudd_StdPreReordHook, CUDD_PRE_REORDERING_HOOK));

} /* end of Cudd_ReorderingReporting */


/**Function********************************************************************

  Synopsis    [Returns the code of the last error.]

  Description [Returns the code of the last error. The error codes are
  defined in cudd.h.]

  SideEffects [None]

  SeeAlso     [Cudd_ClearErrorCode]

******************************************************************************/
Cudd_ErrorType
Cudd_ReadErrorCode(
  DdManager *dd)
{
    return(dd->errorCode);

} /* end of Cudd_ReadErrorCode */


/**Function********************************************************************

  Synopsis    [Clear the error code of a manager.]

  Description []

  SideEffects [None]

  SeeAlso     [Cudd_ReadErrorCode]

******************************************************************************/
void
Cudd_ClearErrorCode(
  DdManager *dd)
{
    dd->errorCode = CUDD_NO_ERROR;

} /* end of Cudd_ClearErrorCode */


/**Function********************************************************************

  Synopsis    [Reads the stdout of a manager.]

  Description [Reads the stdout of a manager. This is the file pointer to
  which messages normally going to stdout are written. It is initialized
  to stdout. Cudd_SetStdout allows the application to redirect it.]

  SideEffects [None]

  SeeAlso     [Cudd_SetStdout Cudd_ReadStderr]

******************************************************************************/
FILE *
Cudd_ReadStdout(
  DdManager *dd)
{
    return(dd->out);

} /* end of Cudd_ReadStdout */


/**Function********************************************************************

  Synopsis    [Sets the stdout of a manager.]

  Description []

  SideEffects [None]

  SeeAlso     [Cudd_ReadStdout Cudd_SetStderr]

******************************************************************************/
void
Cudd_SetStdout(
  DdManager *dd,
  FILE *fp)
{
    dd->out = fp;

} /* end of Cudd_SetStdout */


/**Function********************************************************************

  Synopsis    [Reads the stderr of a manager.]

  Description [Reads the stderr of a manager. This is the file pointer to
  which messages normally going to stderr are written. It is initialized
  to stderr. Cudd_SetStderr allows the application to redirect it.]

  SideEffects [None]

  SeeAlso     [Cudd_SetStderr Cudd_ReadStdout]

******************************************************************************/
FILE *
Cudd_ReadStderr(
  DdManager *dd)
{
    return(dd->err);

} /* end of Cudd_ReadStderr */


/**Function********************************************************************

  Synopsis    [Sets the stderr of a manager.]

  Description []

  SideEffects [None]

  SeeAlso     [Cudd_ReadStderr Cudd_SetStdout]

******************************************************************************/
void
Cudd_SetStderr(
  DdManager *dd,
  FILE *fp)
{
    dd->err = fp;

} /* end of Cudd_SetStderr */


/**Function********************************************************************

  Synopsis    [Returns the threshold for the next dynamic reordering.]

  Description [Returns the threshold for the next dynamic reordering.
  The threshold is in terms of number of nodes and is in effect only
  if reordering is enabled. The count does not include the dead nodes,
  unless the countDead parameter of the manager has been changed from
  its default setting.]

  SideEffects [None]

  SeeAlso     [Cudd_SetNextReordering]

******************************************************************************/
unsigned int
Cudd_ReadNextReordering(
  DdManager *dd)
{
    return(dd->nextDyn);

} /* end of Cudd_ReadNextReordering */


/**Function********************************************************************

  Synopsis    [Sets the threshold for the next dynamic reordering.]

  Description [Sets the threshold for the next dynamic reordering.
  The threshold is in terms of number of nodes and is in effect only
  if reordering is enabled. The count does not include the dead nodes,
  unless the countDead parameter of the manager has been changed from
  its default setting.]

  SideEffects [None]

  SeeAlso     [Cudd_ReadNextReordering]

******************************************************************************/
void
Cudd_SetNextReordering(
  DdManager *dd,
  unsigned int next)
{
    dd->nextDyn = next;

} /* end of Cudd_SetNextReordering */


/**Function********************************************************************

  Synopsis    [Reads the number of elementary reordering steps.]

  Description []

  SideEffects [none]

  SeeAlso     []

******************************************************************************/
double
Cudd_ReadSwapSteps(
  DdManager *dd)
{
#ifdef DD_COUNT
    return(dd->swapSteps);
#else
    return(-1);
#endif

} /* end of Cudd_ReadSwapSteps */


/**Function********************************************************************

  Synopsis    [Reads the maximum allowed number of live nodes.]

  Description [Reads the maximum allowed number of live nodes. When this
  number is exceeded, the package returns NULL.]

  SideEffects [none]

  SeeAlso     [Cudd_SetMaxLive]

******************************************************************************/
unsigned int
Cudd_ReadMaxLive(
  DdManager *dd)
{
    return(dd->maxLive);

} /* end of Cudd_ReadMaxLive */


/**Function********************************************************************

  Synopsis    [Sets the maximum allowed number of live nodes.]

  Description [Sets the maximum allowed number of live nodes. When this
  number is exceeded, the package returns NULL.]

  SideEffects [none]

  SeeAlso     [Cudd_ReadMaxLive]

******************************************************************************/
void
Cudd_SetMaxLive(
  DdManager *dd,
  unsigned int maxLive)
{
    dd->maxLive = maxLive;

} /* end of Cudd_SetMaxLive */


/**Function********************************************************************

  Synopsis    [Reads the maximum allowed memory.]

  Description [Reads the maximum allowed memory. When this
  number is exceeded, the package returns NULL.]

  SideEffects [none]

  SeeAlso     [Cudd_SetMaxMemory]

******************************************************************************/
long
Cudd_ReadMaxMemory(
  DdManager *dd)
{
    return(dd->maxmemhard);

} /* end of Cudd_ReadMaxMemory */


/**Function********************************************************************

  Synopsis    [Sets the maximum allowed memory.]

  Description [Sets the maximum allowed memory. When this
  number is exceeded, the package returns NULL.]

  SideEffects [none]

  SeeAlso     [Cudd_ReadMaxMemory]

******************************************************************************/
void
Cudd_SetMaxMemory(
  DdManager *dd,
  long maxMemory)
{
    dd->maxmemhard = maxMemory;

} /* end of Cudd_SetMaxMemory */


/**Function********************************************************************

  Synopsis    [Prevents sifting of a variable.]

  Description [This function sets a flag to prevent sifting of a
  variable.  Returns 1 if successful; 0 otherwise (i.e., invalid
  variable index).]

  SideEffects [Changes the "bindVar" flag in DdSubtable.]

  SeeAlso     [Cudd_bddUnbindVar]

******************************************************************************/
int
Cudd_bddBindVar(
  DdManager *dd /* manager */,
  int index /* variable index */)
{
    if (index >= dd->size || index < 0) return(0);
    dd->subtables[dd->perm[index]].bindVar = 1;
    return(1);

} /* end of Cudd_bddBindVar */


/**Function********************************************************************

  Synopsis    [Allows the sifting of a variable.]

  Description [This function resets the flag that prevents the sifting
  of a variable. In successive variable reorderings, the variable will
  NOT be skipped, that is, sifted.  Initially all variables can be
  sifted. It is necessary to call this function only to re-enable
  sifting after a call to Cudd_bddBindVar. Returns 1 if successful; 0
  otherwise (i.e., invalid variable index).]

  SideEffects [Changes the "bindVar" flag in DdSubtable.]

  SeeAlso     [Cudd_bddBindVar]

******************************************************************************/
int
Cudd_bddUnbindVar(
  DdManager *dd /* manager */,
  int index /* variable index */)
{
    if (index >= dd->size || index < 0) return(0);
    dd->subtables[dd->perm[index]].bindVar = 0;
    return(1);

} /* end of Cudd_bddUnbindVar */


/**Function********************************************************************

  Synopsis    [Tells whether a variable can be sifted.]

  Description [This function returns 1 if a variable is enabled for
  sifting.  Initially all variables can be sifted. This function returns
  0 only if there has been a previous call to Cudd_bddBindVar for that
  variable not followed by a call to Cudd_bddUnbindVar. The function returns
  0 also in the case in which the index of the variable is out of bounds.]

  SideEffects [none]

  SeeAlso     [Cudd_bddBindVar Cudd_bddUnbindVar]

******************************************************************************/
int
Cudd_bddVarIsBound(
  DdManager *dd /* manager */,
  int index /* variable index */)
{
    if (index >= dd->size || index < 0) return(0);
    return(dd->subtables[dd->perm[index]].bindVar);

} /* end of Cudd_bddVarIsBound */


/**Function********************************************************************

  Synopsis    [Sets a variable type to primary input.]

  Description [Sets a variable type to primary input.  The variable type is
  used by lazy sifting.  Returns 1 if successful; 0 otherwise.]

  SideEffects [modifies the manager]

  SeeAlso     [Cudd_bddSetPsVar Cudd_bddSetNsVar Cudd_bddIsPiVar]

******************************************************************************/
int
Cudd_bddSetPiVar(
  DdManager *dd /* manager */,
  int index /* variable index */)
{
    if (index >= dd->size || index < 0) return (0);
    dd->subtables[dd->perm[index]].varType = CUDD_VAR_PRIMARY_INPUT;
    return(1);

} /* end of Cudd_bddSetPiVar */


/**Function********************************************************************

  Synopsis    [Sets a variable type to present state.]

  Description [Sets a variable type to present state.  The variable type is
  used by lazy sifting.  Returns 1 if successful; 0 otherwise.]

  SideEffects [modifies the manager]

  SeeAlso     [Cudd_bddSetPiVar Cudd_bddSetNsVar Cudd_bddIsPsVar]

******************************************************************************/
int
Cudd_bddSetPsVar(
  DdManager *dd /* manager */,
  int index /* variable index */)
{
    if (index >= dd->size || index < 0) return (0);
    dd->subtables[dd->perm[index]].varType = CUDD_VAR_PRESENT_STATE;
    return(1);

} /* end of Cudd_bddSetPsVar */


/**Function********************************************************************

  Synopsis    [Sets a variable type to next state.]

  Description [Sets a variable type to next state.  The variable type is
  used by lazy sifting.  Returns 1 if successful; 0 otherwise.]

  SideEffects [modifies the manager]

  SeeAlso     [Cudd_bddSetPiVar Cudd_bddSetPsVar Cudd_bddIsNsVar]

******************************************************************************/
int
Cudd_bddSetNsVar(
  DdManager *dd /* manager */,
  int index /* variable index */)
{
    if (index >= dd->size || index < 0) return (0);
    dd->subtables[dd->perm[index]].varType = CUDD_VAR_NEXT_STATE;
    return(1);

} /* end of Cudd_bddSetNsVar */


/**Function********************************************************************

  Synopsis    [Checks whether a variable is primary input.]

  Description [Checks whether a variable is primary input.  Returns 1 if
  the variable's type is primary input; 0 if the variable exists but is
  not a primary input; -1 if the variable does not exist.]

  SideEffects [none]

  SeeAlso     [Cudd_bddSetPiVar Cudd_bddIsPsVar Cudd_bddIsNsVar]

******************************************************************************/
int
Cudd_bddIsPiVar(
  DdManager *dd /* manager */,
  int index /* variable index */)
{
    if (index >= dd->size || index < 0) return -1;
    return (dd->subtables[dd->perm[index]].varType == CUDD_VAR_PRIMARY_INPUT);

} /* end of Cudd_bddIsPiVar */


/**Function********************************************************************

  Synopsis    [Checks whether a variable is present state.]

  Description [Checks whether a variable is present state.  Returns 1 if
  the variable's type is present state; 0 if the variable exists but is
  not a present state; -1 if the variable does not exist.]

  SideEffects [none]

  SeeAlso     [Cudd_bddSetPsVar Cudd_bddIsPiVar Cudd_bddIsNsVar]

******************************************************************************/
int
Cudd_bddIsPsVar(
  DdManager *dd,
  int index)
{
    if (index >= dd->size || index < 0) return -1;
    return (dd->subtables[dd->perm[index]].varType == CUDD_VAR_PRESENT_STATE);

} /* end of Cudd_bddIsPsVar */


/**Function********************************************************************

  Synopsis    [Checks whether a variable is next state.]

  Description [Checks whether a variable is next state.  Returns 1 if
  the variable's type is present state; 0 if the variable exists but is
  not a present state; -1 if the variable does not exist.]

  SideEffects [none]

  SeeAlso     [Cudd_bddSetNsVar Cudd_bddIsPiVar Cudd_bddIsPsVar]

******************************************************************************/
int
Cudd_bddIsNsVar(
  DdManager *dd,
  int index)
{
    if (index >= dd->size || index < 0) return -1;
    return (dd->subtables[dd->perm[index]].varType == CUDD_VAR_NEXT_STATE);

} /* end of Cudd_bddIsNsVar */


/**Function********************************************************************

  Synopsis    [Sets a corresponding pair index for a given index.]

  Description [Sets a corresponding pair index for a given index.
  These pair indices are present and next state variable.  Returns 1 if
  successful; 0 otherwise.]

  SideEffects [modifies the manager]

  SeeAlso     [Cudd_bddReadPairIndex]

******************************************************************************/
int
Cudd_bddSetPairIndex(
  DdManager *dd /* manager */,
  int index /* variable index */,
  int pairIndex /* corresponding variable index */)
{
    if (index >= dd->size || index < 0) return(0);
    dd->subtables[dd->perm[index]].pairIndex = pairIndex;
    return(1);

} /* end of Cudd_bddSetPairIndex */


/**Function********************************************************************

  Synopsis    [Reads a corresponding pair index for a given index.]

  Description [Reads a corresponding pair index for a given index.
  These pair indices are present and next state variable.  Returns the
  corresponding variable index if the variable exists; -1 otherwise.]

  SideEffects [modifies the manager]

  SeeAlso     [Cudd_bddSetPairIndex]

******************************************************************************/
int
Cudd_bddReadPairIndex(
  DdManager *dd,
  int index)
{
    if (index >= dd->size || index < 0) return -1;
    return dd->subtables[dd->perm[index]].pairIndex;

} /* end of Cudd_bddReadPairIndex */


/**Function********************************************************************

  Synopsis    [Sets a variable to be grouped.]

  Description [Sets a variable to be grouped. This function is used for
  lazy sifting.  Returns 1 if successful; 0 otherwise.]

  SideEffects [modifies the manager]

  SeeAlso     [Cudd_bddSetVarHardGroup Cudd_bddResetVarToBeGrouped]

******************************************************************************/
int
Cudd_bddSetVarToBeGrouped(
  DdManager *dd,
  int index)
{
    if (index >= dd->size || index < 0) return(0);
    if (dd->subtables[dd->perm[index]].varToBeGrouped <= CUDD_LAZY_SOFT_GROUP) {
    dd->subtables[dd->perm[index]].varToBeGrouped = CUDD_LAZY_SOFT_GROUP;
    }
    return(1);

} /* end of Cudd_bddSetVarToBeGrouped */


/**Function********************************************************************

  Synopsis    [Sets a variable to be a hard group.]

  Description [Sets a variable to be a hard group.  This function is used
  for lazy sifting.  Returns 1 if successful; 0 otherwise.]

  SideEffects [modifies the manager]

  SeeAlso     [Cudd_bddSetVarToBeGrouped Cudd_bddResetVarToBeGrouped
  Cudd_bddIsVarHardGroup]

******************************************************************************/
int
Cudd_bddSetVarHardGroup(
  DdManager *dd,
  int index)
{
    if (index >= dd->size || index < 0) return(0);
    dd->subtables[dd->perm[index]].varToBeGrouped = CUDD_LAZY_HARD_GROUP;
    return(1);

} /* end of Cudd_bddSetVarHardGrouped */


/**Function********************************************************************

  Synopsis    [Resets a variable not to be grouped.]

  Description [Resets a variable not to be grouped.  This function is
  used for lazy sifting.  Returns 1 if successful; 0 otherwise.]

  SideEffects [modifies the manager]

  SeeAlso     [Cudd_bddSetVarToBeGrouped Cudd_bddSetVarHardGroup]

******************************************************************************/
int
Cudd_bddResetVarToBeGrouped(
  DdManager *dd,
  int index)
{
    if (index >= dd->size || index < 0) return(0);
    if (dd->subtables[dd->perm[index]].varToBeGrouped <=
    CUDD_LAZY_SOFT_GROUP) {
    dd->subtables[dd->perm[index]].varToBeGrouped = CUDD_LAZY_NONE;
    }
    return(1);

} /* end of Cudd_bddResetVarToBeGrouped */


/**Function********************************************************************

  Synopsis    [Checks whether a variable is set to be grouped.]

  Description [Checks whether a variable is set to be grouped. This
  function is used for lazy sifting.]

  SideEffects [none]

  SeeAlso     []

******************************************************************************/
int
Cudd_bddIsVarToBeGrouped(
  DdManager *dd,
  int index)
{
    if (index >= dd->size || index < 0) return(-1);
    if (dd->subtables[dd->perm[index]].varToBeGrouped == CUDD_LAZY_UNGROUP)
    return(0);
    else
    return(dd->subtables[dd->perm[index]].varToBeGrouped);

} /* end of Cudd_bddIsVarToBeGrouped */


/**Function********************************************************************

  Synopsis    [Sets a variable to be ungrouped.]

  Description [Sets a variable to be ungrouped. This function is used
  for lazy sifting.  Returns 1 if successful; 0 otherwise.]

  SideEffects [modifies the manager]

  SeeAlso     [Cudd_bddIsVarToBeUngrouped]

******************************************************************************/
int
Cudd_bddSetVarToBeUngrouped(
  DdManager *dd,
  int index)
{
    if (index >= dd->size || index < 0) return(0);
    dd->subtables[dd->perm[index]].varToBeGrouped = CUDD_LAZY_UNGROUP;
    return(1);

} /* end of Cudd_bddSetVarToBeGrouped */


/**Function********************************************************************

  Synopsis    [Checks whether a variable is set to be ungrouped.]

  Description [Checks whether a variable is set to be ungrouped. This
  function is used for lazy sifting.  Returns 1 if the variable is marked
  to be ungrouped; 0 if the variable exists, but it is not marked to be
  ungrouped; -1 if the variable does not exist.]

  SideEffects [none]

  SeeAlso     [Cudd_bddSetVarToBeUngrouped]

******************************************************************************/
int
Cudd_bddIsVarToBeUngrouped(
  DdManager *dd,
  int index)
{
    if (index >= dd->size || index < 0) return(-1);
    return dd->subtables[dd->perm[index]].varToBeGrouped == CUDD_LAZY_UNGROUP;

} /* end of Cudd_bddIsVarToBeGrouped */


/**Function********************************************************************

  Synopsis    [Checks whether a variable is set to be in a hard group.]

  Description [Checks whether a variable is set to be in a hard group.  This
  function is used for lazy sifting.  Returns 1 if the variable is marked
  to be in a hard group; 0 if the variable exists, but it is not marked to be
  in a hard group; -1 if the variable does not exist.]

  SideEffects [none]

  SeeAlso     [Cudd_bddSetVarHardGroup]

******************************************************************************/
int
Cudd_bddIsVarHardGroup(
  DdManager *dd,
  int index)
{
    if (index >= dd->size || index < 0) return(-1);
    if (dd->subtables[dd->perm[index]].varToBeGrouped == CUDD_LAZY_HARD_GROUP)
    return(1);
    return(0);

} /* end of Cudd_bddIsVarToBeGrouped */


/*---------------------------------------------------------------------------*/
/* Definition of internal functions                                          */
/*---------------------------------------------------------------------------*/

/*---------------------------------------------------------------------------*/
/* Definition of static functions                                            */
/*---------------------------------------------------------------------------*/


/**Function********************************************************************

  Synopsis    [Fixes a variable group tree.]

  Description []

  SideEffects [Changes the variable group tree.]

  SeeAlso     []

******************************************************************************/
static void
fixVarTree(
  MtrNode * treenode,
  int * perm,
  int  size)
{
    treenode->index = treenode->low;
    treenode->low = ((int) treenode->index < size) ?
    perm[treenode->index] : treenode->index;
    if (treenode->child != NULL)
    fixVarTree(treenode->child, perm, size);
    if (treenode->younger != NULL)
    fixVarTree(treenode->younger, perm, size);
    return;

} /* end of fixVarTree */


/**Function********************************************************************

  Synopsis    [Adds multiplicity groups to a ZDD variable group tree.]

  Description [Adds multiplicity groups to a ZDD variable group tree.
  Returns 1 if successful; 0 otherwise. This function creates the groups
  for set of ZDD variables (whose cardinality is given by parameter
  multiplicity) that are created for each BDD variable in
  Cudd_zddVarsFromBddVars. The crux of the matter is to determine the index
  each new group. (The index of the first variable in the group.)
  We first build all the groups for the children of a node, and then deal
  with the ZDD variables that are directly attached to the node. The problem
  for these is that the tree itself does not provide information on their
  position inside the group. While we deal with the children of the node,
  therefore, we keep track of all the positions they occupy. The remaining
  positions in the tree can be freely used. Also, we keep track of all the
  variables placed in the children. All the remaining variables are directly
  attached to the group. We can then place any pair of variables not yet
  grouped in any pair of available positions in the node.]

  SideEffects [Changes the variable group tree.]

  SeeAlso     [Cudd_zddVarsFromBddVars]

******************************************************************************/
static int
addMultiplicityGroups(
  DdManager *dd /* manager */,
  MtrNode *treenode /* current tree node */,
  int multiplicity /* how many ZDD vars per BDD var */,
  char *vmask /* variable pairs for which a group has been already built */,
  char *lmask /* levels for which a group has already been built*/)
{
    int startV, stopV, startL;
    int i, j;
    MtrNode *auxnode = treenode;

    while (auxnode != NULL) {
    if (auxnode->child != NULL) {
        addMultiplicityGroups(dd,auxnode->child,multiplicity,vmask,lmask);
    }
    /* Build remaining groups. */
    startV = dd->permZ[auxnode->index] / multiplicity;
    startL = auxnode->low / multiplicity;
    stopV = startV + auxnode->size / multiplicity;
    /* Walk down vmask starting at startV and build missing groups. */
    for (i = startV, j = startL; i < stopV; i++) {
        if (vmask[i] == 0) {
        MtrNode *node;
        while (lmask[j] == 1) j++;
        node = Mtr_MakeGroup(auxnode, j * multiplicity, multiplicity,
                     MTR_FIXED);
        if (node == NULL) {
            return(0);
        }
        node->index = dd->invpermZ[i * multiplicity];
        vmask[i] = 1;
        lmask[j] = 1;
        }
    }
    auxnode = auxnode->younger;
    }
    return(1);

} /* end of addMultiplicityGroups */