Codebase list gmp / 5d99225f-0690-40b1-bd90-28e9ee1e3fe0/main longlong.h
5d99225f-0690-40b1-bd90-28e9ee1e3fe0/main

Tree @5d99225f-0690-40b1-bd90-28e9ee1e3fe0/main (Download .tar.gz)

longlong.h @5d99225f-0690-40b1-bd90-28e9ee1e3fe0/mainraw · history · blame

   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
/* longlong.h -- definitions for mixed size 32/64 bit arithmetic.

Copyright 1991-1994, 1996, 1997, 1999-2005, 2007-2009, 2011-2020 Free Software
Foundation, Inc.

This file is part of the GNU MP Library.

The GNU MP Library is free software; you can redistribute it and/or modify
it under the terms of either:

  * the GNU Lesser General Public License as published by the Free
    Software Foundation; either version 3 of the License, or (at your
    option) any later version.

or

  * the GNU General Public License as published by the Free Software
    Foundation; either version 2 of the License, or (at your option) any
    later version.

or both in parallel, as here.

The GNU MP Library is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
for more details.

You should have received copies of the GNU General Public License and the
GNU Lesser General Public License along with the GNU MP Library.  If not,
see https://www.gnu.org/licenses/.  */

/* You have to define the following before including this file:

   UWtype -- An unsigned type, default type for operations (typically a "word")
   UHWtype -- An unsigned type, at least half the size of UWtype
   UDWtype -- An unsigned type, at least twice as large a UWtype
   W_TYPE_SIZE -- size in bits of UWtype

   SItype, USItype -- Signed and unsigned 32 bit types
   DItype, UDItype -- Signed and unsigned 64 bit types

   On a 32 bit machine UWtype should typically be USItype;
   on a 64 bit machine, UWtype should typically be UDItype.

   Optionally, define:

   LONGLONG_STANDALONE -- Avoid code that needs machine-dependent support files
   NO_ASM -- Disable inline asm


   CAUTION!  Using this version of longlong.h outside of GMP is not safe.  You
   need to include gmp.h and gmp-impl.h, or certain things might not work as
   expected.
*/

#define __BITS4 (W_TYPE_SIZE / 4)
#define __ll_B ((UWtype) 1 << (W_TYPE_SIZE / 2))
#define __ll_lowpart(t) ((UWtype) (t) & (__ll_B - 1))
#define __ll_highpart(t) ((UWtype) (t) >> (W_TYPE_SIZE / 2))

/* This is used to make sure no undesirable sharing between different libraries
   that use this file takes place.  */
#ifndef __MPN
#define __MPN(x) __##x
#endif

/* Define auxiliary asm macros.

   1) umul_ppmm(high_prod, low_prod, multiplier, multiplicand) multiplies two
   UWtype integers MULTIPLIER and MULTIPLICAND, and generates a two UWtype
   word product in HIGH_PROD and LOW_PROD.

   2) __umulsidi3(a,b) multiplies two UWtype integers A and B, and returns a
   UDWtype product.  This is just a variant of umul_ppmm.

   3) udiv_qrnnd(quotient, remainder, high_numerator, low_numerator,
   denominator) divides a UDWtype, composed by the UWtype integers
   HIGH_NUMERATOR and LOW_NUMERATOR, by DENOMINATOR and places the quotient
   in QUOTIENT and the remainder in REMAINDER.  HIGH_NUMERATOR must be less
   than DENOMINATOR for correct operation.  If, in addition, the most
   significant bit of DENOMINATOR must be 1, then the pre-processor symbol
   UDIV_NEEDS_NORMALIZATION is defined to 1.

   4) sdiv_qrnnd(quotient, remainder, high_numerator, low_numerator,
   denominator).  Like udiv_qrnnd but the numbers are signed.  The quotient
   is rounded towards 0.

   5) count_leading_zeros(count, x) counts the number of zero-bits from the
   msb to the first non-zero bit in the UWtype X.  This is the number of
   steps X needs to be shifted left to set the msb.  Undefined for X == 0,
   unless the symbol COUNT_LEADING_ZEROS_0 is defined to some value.

   6) count_trailing_zeros(count, x) like count_leading_zeros, but counts
   from the least significant end.

   7) add_ssaaaa(high_sum, low_sum, high_addend_1, low_addend_1,
   high_addend_2, low_addend_2) adds two UWtype integers, composed by
   HIGH_ADDEND_1 and LOW_ADDEND_1, and HIGH_ADDEND_2 and LOW_ADDEND_2
   respectively.  The result is placed in HIGH_SUM and LOW_SUM.  Overflow
   (i.e. carry out) is not stored anywhere, and is lost.

   8) sub_ddmmss(high_difference, low_difference, high_minuend, low_minuend,
   high_subtrahend, low_subtrahend) subtracts two two-word UWtype integers,
   composed by HIGH_MINUEND_1 and LOW_MINUEND_1, and HIGH_SUBTRAHEND_2 and
   LOW_SUBTRAHEND_2 respectively.  The result is placed in HIGH_DIFFERENCE
   and LOW_DIFFERENCE.  Overflow (i.e. carry out) is not stored anywhere,
   and is lost.

   If any of these macros are left undefined for a particular CPU,
   C macros are used.


   Notes:

   For add_ssaaaa the two high and two low addends can both commute, but
   unfortunately gcc only supports one "%" commutative in each asm block.
   This has always been so but is only documented in recent versions
   (eg. pre-release 3.3).  Having two or more "%"s can cause an internal
   compiler error in certain rare circumstances.

   Apparently it was only the last "%" that was ever actually respected, so
   the code has been updated to leave just that.  Clearly there's a free
   choice whether high or low should get it, if there's a reason to favour
   one over the other.  Also obviously when the constraints on the two
   operands are identical there's no benefit to the reloader in any "%" at
   all.

   */

/* The CPUs come in alphabetical order below.

   Please add support for more CPUs here, or improve the current support
   for the CPUs below!  */


/* count_leading_zeros_gcc_clz is count_leading_zeros implemented with gcc
   3.4 __builtin_clzl or __builtin_clzll, according to our limb size.
   Similarly count_trailing_zeros_gcc_ctz using __builtin_ctzl or
   __builtin_ctzll.

   These builtins are only used when we check what code comes out, on some
   chips they're merely libgcc calls, where we will instead want an inline
   in that case (either asm or generic C).

   These builtins are better than an asm block of the same insn, since an
   asm block doesn't give gcc any information about scheduling or resource
   usage.  We keep an asm block for use on prior versions of gcc though.

   For reference, __builtin_ffs existed in gcc prior to __builtin_clz, but
   it's not used (for count_leading_zeros) because it generally gives extra
   code to ensure the result is 0 when the input is 0, which we don't need
   or want.  */

#ifdef _LONG_LONG_LIMB
#define count_leading_zeros_gcc_clz(count,x)	\
  do {						\
    ASSERT ((x) != 0);				\
    (count) = __builtin_clzll (x);		\
  } while (0)
#else
#define count_leading_zeros_gcc_clz(count,x)	\
  do {						\
    ASSERT ((x) != 0);				\
    (count) = __builtin_clzl (x);		\
  } while (0)
#endif

#ifdef _LONG_LONG_LIMB
#define count_trailing_zeros_gcc_ctz(count,x)	\
  do {						\
    ASSERT ((x) != 0);				\
    (count) = __builtin_ctzll (x);		\
  } while (0)
#else
#define count_trailing_zeros_gcc_ctz(count,x)	\
  do {						\
    ASSERT ((x) != 0);				\
    (count) = __builtin_ctzl (x);		\
  } while (0)
#endif


/* FIXME: The macros using external routines like __MPN(count_leading_zeros)
   don't need to be under !NO_ASM */
#if ! defined (NO_ASM)

#if defined (__alpha) && W_TYPE_SIZE == 64
/* Most alpha-based machines, except Cray systems. */
#if defined (__GNUC__)
#if __GMP_GNUC_PREREQ (3,3)
#define umul_ppmm(ph, pl, m0, m1) \
  do {									\
    UDItype __m0 = (m0), __m1 = (m1);					\
    (ph) = __builtin_alpha_umulh (__m0, __m1);				\
    (pl) = __m0 * __m1;							\
  } while (0)
#else
#define umul_ppmm(ph, pl, m0, m1) \
  do {									\
    UDItype __m0 = (m0), __m1 = (m1);					\
    __asm__ ("umulh %r1,%2,%0"						\
	     : "=r" (ph)						\
	     : "%rJ" (__m0), "rI" (__m1));				\
    (pl) = __m0 * __m1;							\
  } while (0)
#endif
#else /* ! __GNUC__ */
#include <machine/builtins.h>
#define umul_ppmm(ph, pl, m0, m1) \
  do {									\
    UDItype __m0 = (m0), __m1 = (m1);					\
    (ph) = __UMULH (__m0, __m1);					\
    (pl) = __m0 * __m1;							\
  } while (0)
#endif
#ifndef LONGLONG_STANDALONE
#define udiv_qrnnd(q, r, n1, n0, d) \
  do { UWtype __di;							\
    __di = __MPN(invert_limb) (d);					\
    udiv_qrnnd_preinv (q, r, n1, n0, d, __di);				\
  } while (0)
#define UDIV_PREINV_ALWAYS  1
#define UDIV_NEEDS_NORMALIZATION 1
#endif /* LONGLONG_STANDALONE */

/* clz_tab is required in all configurations, since mpn/alpha/cntlz.asm
   always goes into libgmp.so, even when not actually used.  */
#define COUNT_LEADING_ZEROS_NEED_CLZ_TAB

#if defined (__GNUC__) && HAVE_HOST_CPU_alpha_CIX
#define count_leading_zeros(COUNT,X) \
  __asm__("ctlz %1,%0" : "=r"(COUNT) : "r"(X))
#define count_trailing_zeros(COUNT,X) \
  __asm__("cttz %1,%0" : "=r"(COUNT) : "r"(X))
#endif /* clz/ctz using cix */

#if ! defined (count_leading_zeros)				\
  && defined (__GNUC__) && ! defined (LONGLONG_STANDALONE)
/* ALPHA_CMPBGE_0 gives "cmpbge $31,src,dst", ie. test src bytes == 0.
   "$31" is written explicitly in the asm, since an "r" constraint won't
   select reg 31.  There seems no need to worry about "r31" syntax for cray,
   since gcc itself (pre-release 3.4) emits just $31 in various places.	 */
#define ALPHA_CMPBGE_0(dst, src)					\
  do { asm ("cmpbge $31, %1, %0" : "=r" (dst) : "r" (src)); } while (0)
/* Zero bytes are turned into bits with cmpbge, a __clz_tab lookup counts
   them, locating the highest non-zero byte.  A second __clz_tab lookup
   counts the leading zero bits in that byte, giving the result.  */
#define count_leading_zeros(count, x)					\
  do {									\
    UWtype  __clz__b, __clz__c, __clz__x = (x);				\
    ALPHA_CMPBGE_0 (__clz__b,  __clz__x);	    /* zero bytes */	\
    __clz__b = __clz_tab [(__clz__b >> 1) ^ 0x7F];  /* 8 to 1 byte */	\
    __clz__b = __clz__b * 8 - 7;		    /* 57 to 1 shift */ \
    __clz__x >>= __clz__b;						\
    __clz__c = __clz_tab [__clz__x];		    /* 8 to 1 bit */	\
    __clz__b = 65 - __clz__b;						\
    (count) = __clz__b - __clz__c;					\
  } while (0)
#define COUNT_LEADING_ZEROS_NEED_CLZ_TAB
#endif /* clz using cmpbge */

#if ! defined (count_leading_zeros) && ! defined (LONGLONG_STANDALONE)
#if HAVE_ATTRIBUTE_CONST
long __MPN(count_leading_zeros) (UDItype) __attribute__ ((const));
#else
long __MPN(count_leading_zeros) (UDItype);
#endif
#define count_leading_zeros(count, x) \
  ((count) = __MPN(count_leading_zeros) (x))
#endif /* clz using mpn */
#endif /* __alpha */

#if defined (__AVR) && W_TYPE_SIZE == 8
#define umul_ppmm(ph, pl, m0, m1) \
  do {									\
    unsigned short __p = (unsigned short) (m0) * (m1);			\
    (ph) = __p >> 8;							\
    (pl) = __p;								\
  } while (0)
#endif /* AVR */

#if defined (_CRAY) && W_TYPE_SIZE == 64
#include <intrinsics.h>
#define UDIV_PREINV_ALWAYS  1
#define UDIV_NEEDS_NORMALIZATION 1
long __MPN(count_leading_zeros) (UDItype);
#define count_leading_zeros(count, x) \
  ((count) = _leadz ((UWtype) (x)))
#if defined (_CRAYIEEE)		/* I.e., Cray T90/ieee, T3D, and T3E */
#define umul_ppmm(ph, pl, m0, m1) \
  do {									\
    UDItype __m0 = (m0), __m1 = (m1);					\
    (ph) = _int_mult_upper (__m0, __m1);				\
    (pl) = __m0 * __m1;							\
  } while (0)
#ifndef LONGLONG_STANDALONE
#define udiv_qrnnd(q, r, n1, n0, d) \
  do { UWtype __di;							\
    __di = __MPN(invert_limb) (d);					\
    udiv_qrnnd_preinv (q, r, n1, n0, d, __di);				\
  } while (0)
#endif /* LONGLONG_STANDALONE */
#endif /* _CRAYIEEE */
#endif /* _CRAY */

#if defined (__ia64) && W_TYPE_SIZE == 64
/* This form encourages gcc (pre-release 3.4 at least) to emit predicated
   "sub r=r,r" and "sub r=r,r,1", giving a 2 cycle latency.  The generic
   code using "al<bl" arithmetically comes out making an actual 0 or 1 in a
   register, which takes an extra cycle.  */
#define sub_ddmmss(sh, sl, ah, al, bh, bl)      \
  do {						\
    UWtype __x;					\
    __x = (al) - (bl);				\
    if ((al) < (bl))				\
      (sh) = (ah) - (bh) - 1;			\
    else					\
      (sh) = (ah) - (bh);			\
    (sl) = __x;					\
  } while (0)
#if defined (__GNUC__) && ! defined (__INTEL_COMPILER)
/* Do both product parts in assembly, since that gives better code with
   all gcc versions.  Some callers will just use the upper part, and in
   that situation we waste an instruction, but not any cycles.  */
#define umul_ppmm(ph, pl, m0, m1) \
    __asm__ ("xma.hu %0 = %2, %3, f0\n\txma.l %1 = %2, %3, f0"		\
	     : "=&f" (ph), "=f" (pl)					\
	     : "f" (m0), "f" (m1))
#define count_leading_zeros(count, x) \
  do {									\
    UWtype _x = (x), _y, _a, _c;					\
    __asm__ ("mux1 %0 = %1, @rev" : "=r" (_y) : "r" (_x));		\
    __asm__ ("czx1.l %0 = %1" : "=r" (_a) : "r" (-_y | _y));		\
    _c = (_a - 1) << 3;							\
    _x >>= _c;								\
    if (_x >= 1 << 4)							\
      _x >>= 4, _c += 4;						\
    if (_x >= 1 << 2)							\
      _x >>= 2, _c += 2;						\
    _c += _x >> 1;							\
    (count) =  W_TYPE_SIZE - 1 - _c;					\
  } while (0)
/* similar to what gcc does for __builtin_ffs, but 0 based rather than 1
   based, and we don't need a special case for x==0 here */
#define count_trailing_zeros(count, x)					\
  do {									\
    UWtype __ctz_x = (x);						\
    __asm__ ("popcnt %0 = %1"						\
	     : "=r" (count)						\
	     : "r" ((__ctz_x-1) & ~__ctz_x));				\
  } while (0)
#endif
#if defined (__INTEL_COMPILER)
#include <ia64intrin.h>
#define umul_ppmm(ph, pl, m0, m1)					\
  do {									\
    UWtype __m0 = (m0), __m1 = (m1);					\
    ph = _m64_xmahu (__m0, __m1, 0);					\
    pl = __m0 * __m1;							\
  } while (0)
#endif
#ifndef LONGLONG_STANDALONE
#define udiv_qrnnd(q, r, n1, n0, d) \
  do { UWtype __di;							\
    __di = __MPN(invert_limb) (d);					\
    udiv_qrnnd_preinv (q, r, n1, n0, d, __di);				\
  } while (0)
#define UDIV_PREINV_ALWAYS  1
#define UDIV_NEEDS_NORMALIZATION 1
#endif
#endif


#if defined (__GNUC__)

/* We sometimes need to clobber "cc" with gcc2, but that would not be
   understood by gcc1.  Use cpp to avoid major code duplication.  */
#if __GNUC__ < 2
#define __CLOBBER_CC
#define __AND_CLOBBER_CC
#else /* __GNUC__ >= 2 */
#define __CLOBBER_CC : "cc"
#define __AND_CLOBBER_CC , "cc"
#endif /* __GNUC__ < 2 */

#if (defined (__a29k__) || defined (_AM29K)) && W_TYPE_SIZE == 32
#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
  __asm__ ("add %1,%4,%5\n\taddc %0,%2,%3"				\
	   : "=r" (sh), "=&r" (sl)					\
	   : "r" (ah), "rI" (bh), "%r" (al), "rI" (bl))
#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
  __asm__ ("sub %1,%4,%5\n\tsubc %0,%2,%3"				\
	   : "=r" (sh), "=&r" (sl)					\
	   : "r" (ah), "rI" (bh), "r" (al), "rI" (bl))
#define umul_ppmm(xh, xl, m0, m1) \
  do {									\
    USItype __m0 = (m0), __m1 = (m1);					\
    __asm__ ("multiplu %0,%1,%2"					\
	     : "=r" (xl)						\
	     : "r" (__m0), "r" (__m1));					\
    __asm__ ("multmu %0,%1,%2"						\
	     : "=r" (xh)						\
	     : "r" (__m0), "r" (__m1));					\
  } while (0)
#define udiv_qrnnd(q, r, n1, n0, d) \
  __asm__ ("dividu %0,%3,%4"						\
	   : "=r" (q), "=q" (r)						\
	   : "1" (n1), "r" (n0), "r" (d))
#define count_leading_zeros(count, x) \
    __asm__ ("clz %0,%1"						\
	     : "=r" (count)						\
	     : "r" (x))
#define COUNT_LEADING_ZEROS_0 32
#endif /* __a29k__ */

#if defined (__arc__)
#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
  __asm__ ("add.f\t%1, %4, %5\n\tadc\t%0, %2, %3"			\
	   : "=r" (sh),							\
	     "=&r" (sl)							\
	   : "r"  ((USItype) (ah)),					\
	     "rICal" ((USItype) (bh)),					\
	     "%r" ((USItype) (al)),					\
	     "rICal" ((USItype) (bl)))
#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
  __asm__ ("sub.f\t%1, %4, %5\n\tsbc\t%0, %2, %3"			\
	   : "=r" (sh),							\
	     "=&r" (sl)							\
	   : "r" ((USItype) (ah)),					\
	     "rICal" ((USItype) (bh)),					\
	     "r" ((USItype) (al)),					\
	     "rICal" ((USItype) (bl)))
#endif

#if defined (__arm__) && (defined (__thumb2__) || !defined (__thumb__)) \
    && W_TYPE_SIZE == 32
#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
  do {									\
    if (__builtin_constant_p (bl) && -(USItype)(bl) < (USItype)(bl))	\
      __asm__ ("subs\t%1, %4, %5\n\tadc\t%0, %2, %3"			\
	   : "=r" (sh), "=&r" (sl)					\
	       : "r" (ah), "rI" (bh),					\
		 "%r" (al), "rI" (-(USItype)(bl)) __CLOBBER_CC);	\
    else								\
      __asm__ ("adds\t%1, %4, %5\n\tadc\t%0, %2, %3"			\
	   : "=r" (sh), "=&r" (sl)					\
	   : "r" (ah), "rI" (bh), "%r" (al), "rI" (bl) __CLOBBER_CC);	\
  } while (0)
/* FIXME: Extend the immediate range for the low word by using both ADDS and
   SUBS, since they set carry in the same way.  We need separate definitions
   for thumb and non-thumb since thumb lacks RSC.  */
#if defined (__thumb__)
#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
  do {									\
    if (__builtin_constant_p (ah) && __builtin_constant_p (bh)		\
	&& (ah) == (bh))						\
      __asm__ ("subs\t%1, %2, %3\n\tsbc\t%0, %0, %0"			\
	       : "=r" (sh), "=r" (sl)					\
	       : "r" (al), "rI" (bl) __CLOBBER_CC);			\
    else if (__builtin_constant_p (al))					\
      __asm__ ("rsbs\t%1, %5, %4\n\tsbc\t%0, %2, %3"			\
	       : "=r" (sh), "=&r" (sl)					\
	       : "r" (ah), "rI" (bh), "rI" (al), "r" (bl) __CLOBBER_CC); \
    else if (__builtin_constant_p (bl))					\
      __asm__ ("subs\t%1, %4, %5\n\tsbc\t%0, %2, %3"			\
	       : "=r" (sh), "=&r" (sl)					\
	       : "r" (ah), "rI" (bh), "r" (al), "rI" (bl) __CLOBBER_CC); \
    else								\
      __asm__ ("subs\t%1, %4, %5\n\tsbc\t%0, %2, %3"			\
	       : "=r" (sh), "=&r" (sl)					\
	       : "r" (ah), "rI" (bh), "r" (al), "rI" (bl) __CLOBBER_CC); \
    } while (0)
#else
#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
  do {									\
    if (__builtin_constant_p (ah) && __builtin_constant_p (bh)		\
	&& (ah) == (bh))						\
      __asm__ ("subs\t%1, %2, %3\n\tsbc\t%0, %0, %0"			\
	       : "=r" (sh), "=r" (sl)					\
	       : "r" (al), "rI" (bl) __CLOBBER_CC);			\
    else if (__builtin_constant_p (al))					\
      {									\
	if (__builtin_constant_p (ah))					\
	  __asm__ ("rsbs\t%1, %5, %4\n\trsc\t%0, %3, %2"		\
		   : "=r" (sh), "=&r" (sl)				\
		   : "rI" (ah), "r" (bh), "rI" (al), "r" (bl) __CLOBBER_CC); \
	else								\
	  __asm__ ("rsbs\t%1, %5, %4\n\tsbc\t%0, %2, %3"		\
		   : "=r" (sh), "=&r" (sl)				\
		   : "r" (ah), "rI" (bh), "rI" (al), "r" (bl) __CLOBBER_CC); \
      }									\
    else if (__builtin_constant_p (ah))					\
      {									\
	if (__builtin_constant_p (bl))					\
	  __asm__ ("subs\t%1, %4, %5\n\trsc\t%0, %3, %2"		\
		   : "=r" (sh), "=&r" (sl)				\
		   : "rI" (ah), "r" (bh), "r" (al), "rI" (bl) __CLOBBER_CC); \
	else								\
	  __asm__ ("rsbs\t%1, %5, %4\n\trsc\t%0, %3, %2"		\
		   : "=r" (sh), "=&r" (sl)				\
		   : "rI" (ah), "r" (bh), "rI" (al), "r" (bl) __CLOBBER_CC); \
      }									\
    else if (__builtin_constant_p (bl))					\
      __asm__ ("subs\t%1, %4, %5\n\tsbc\t%0, %2, %3"			\
	       : "=r" (sh), "=&r" (sl)					\
	       : "r" (ah), "rI" (bh), "r" (al), "rI" (bl) __CLOBBER_CC); \
    else								\
      __asm__ ("subs\t%1, %4, %5\n\tsbc\t%0, %2, %3"			\
	       : "=r" (sh), "=&r" (sl)					\
	       : "r" (ah), "rI" (bh), "r" (al), "rI" (bl) __CLOBBER_CC); \
    } while (0)
#endif
#if defined (__ARM_ARCH_2__) || defined (__ARM_ARCH_2A__) \
    || defined (__ARM_ARCH_3__)
#define umul_ppmm(xh, xl, a, b)						\
  do {									\
    register USItype __t0, __t1, __t2;					\
    __asm__ ("%@ Inlined umul_ppmm\n"					\
	   "	mov	%2, %5, lsr #16\n"				\
	   "	mov	%0, %6, lsr #16\n"				\
	   "	bic	%3, %5, %2, lsl #16\n"				\
	   "	bic	%4, %6, %0, lsl #16\n"				\
	   "	mul	%1, %3, %4\n"					\
	   "	mul	%4, %2, %4\n"					\
	   "	mul	%3, %0, %3\n"					\
	   "	mul	%0, %2, %0\n"					\
	   "	adds	%3, %4, %3\n"					\
	   "	addcs	%0, %0, #65536\n"				\
	   "	adds	%1, %1, %3, lsl #16\n"				\
	   "	adc	%0, %0, %3, lsr #16"				\
	   : "=&r" ((USItype) (xh)), "=r" ((USItype) (xl)),		\
	     "=&r" (__t0), "=&r" (__t1), "=r" (__t2)			\
	   : "r" ((USItype) (a)), "r" ((USItype) (b)) __CLOBBER_CC);	\
  } while (0)
#ifndef LONGLONG_STANDALONE
#define udiv_qrnnd(q, r, n1, n0, d) \
  do { UWtype __r;							\
    (q) = __MPN(udiv_qrnnd) (&__r, (n1), (n0), (d));			\
    (r) = __r;								\
  } while (0)
extern UWtype __MPN(udiv_qrnnd) (UWtype *, UWtype, UWtype, UWtype);
#endif /* LONGLONG_STANDALONE */
#else /* ARMv4 or newer */
#define umul_ppmm(xh, xl, a, b) \
  __asm__ ("umull %0,%1,%2,%3" : "=&r" (xl), "=&r" (xh) : "r" (a), "r" (b))
#define smul_ppmm(xh, xl, a, b) \
  __asm__ ("smull %0,%1,%2,%3" : "=&r" (xl), "=&r" (xh) : "r" (a), "r" (b))
#ifndef LONGLONG_STANDALONE
#define udiv_qrnnd(q, r, n1, n0, d) \
  do { UWtype __di;							\
    __di = __MPN(invert_limb) (d);					\
    udiv_qrnnd_preinv (q, r, n1, n0, d, __di);				\
  } while (0)
#define UDIV_PREINV_ALWAYS  1
#define UDIV_NEEDS_NORMALIZATION 1
#endif /* LONGLONG_STANDALONE */
#endif /* defined(__ARM_ARCH_2__) ... */
#define count_leading_zeros(count, x)  count_leading_zeros_gcc_clz(count, x)
#define count_trailing_zeros(count, x)  count_trailing_zeros_gcc_ctz(count, x)
#endif /* __arm__ */

#if defined (__aarch64__) && W_TYPE_SIZE == 64
#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
  do {									\
    if (__builtin_constant_p (bl) && ~(UDItype)(bl) <= (UDItype)(bl))	\
      __asm__ ("subs\t%1, %x4, %5\n\tadc\t%0, %x2, %x3"			\
	       : "=r" (sh), "=&r" (sl)					\
	       : "rZ" ((UDItype)(ah)), "rZ" ((UDItype)(bh)),		\
		 "%r" ((UDItype)(al)), "rI" (-(UDItype)(bl)) __CLOBBER_CC);\
    else								\
      __asm__ ("adds\t%1, %x4, %5\n\tadc\t%0, %x2, %x3"			\
	       : "=r" (sh), "=&r" (sl)					\
	       : "rZ" ((UDItype)(ah)), "rZ" ((UDItype)(bh)),		\
		 "%r" ((UDItype)(al)), "rI" ((UDItype)(bl)) __CLOBBER_CC);\
  } while (0)
#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
  do {									\
    if (__builtin_constant_p (bl) && ~(UDItype)(bl) <= (UDItype)(bl))	\
      __asm__ ("adds\t%1, %x4, %5\n\tsbc\t%0, %x2, %x3"			\
	       : "=r,r" (sh), "=&r,&r" (sl)				\
	       : "rZ,rZ" ((UDItype)(ah)), "rZ,rZ" ((UDItype)(bh)),	\
		 "r,Z"   ((UDItype)(al)), "rI,r" (-(UDItype)(bl)) __CLOBBER_CC);\
    else								\
      __asm__ ("subs\t%1, %x4, %5\n\tsbc\t%0, %x2, %x3"			\
	       : "=r,r" (sh), "=&r,&r" (sl)				\
	       : "rZ,rZ" ((UDItype)(ah)), "rZ,rZ" ((UDItype)(bh)),	\
		 "r,Z"   ((UDItype)(al)), "rI,r"  ((UDItype)(bl)) __CLOBBER_CC);\
  } while(0);
#if __GMP_GNUC_PREREQ (4,9)
#define umul_ppmm(w1, w0, u, v) \
  do {									\
    typedef unsigned int __ll_UTItype __attribute__((mode(TI)));	\
    __ll_UTItype __ll = (__ll_UTItype)(u) * (v);			\
    w1 = __ll >> 64;							\
    w0 = __ll;								\
  } while (0)
#endif
#if !defined (umul_ppmm)
#define umul_ppmm(ph, pl, m0, m1) \
  do {									\
    UDItype __m0 = (m0), __m1 = (m1);					\
    __asm__ ("umulh\t%0, %1, %2" : "=r" (ph) : "r" (__m0), "r" (__m1));	\
    (pl) = __m0 * __m1;							\
  } while (0)
#endif
#define count_leading_zeros(count, x)  count_leading_zeros_gcc_clz(count, x)
#define count_trailing_zeros(count, x)  count_trailing_zeros_gcc_ctz(count, x)
#endif /* __aarch64__ */

#if defined (__clipper__) && W_TYPE_SIZE == 32
#define umul_ppmm(w1, w0, u, v) \
  ({union {UDItype __ll;						\
	   struct {USItype __l, __h;} __i;				\
	  } __x;							\
  __asm__ ("mulwux %2,%0"						\
	   : "=r" (__x.__ll)						\
	   : "%0" ((USItype)(u)), "r" ((USItype)(v)));			\
  (w1) = __x.__i.__h; (w0) = __x.__i.__l;})
#define smul_ppmm(w1, w0, u, v) \
  ({union {DItype __ll;							\
	   struct {SItype __l, __h;} __i;				\
	  } __x;							\
  __asm__ ("mulwx %2,%0"						\
	   : "=r" (__x.__ll)						\
	   : "%0" ((SItype)(u)), "r" ((SItype)(v)));			\
  (w1) = __x.__i.__h; (w0) = __x.__i.__l;})
#define __umulsidi3(u, v) \
  ({UDItype __w;							\
    __asm__ ("mulwux %2,%0"						\
	     : "=r" (__w) : "%0" ((USItype)(u)), "r" ((USItype)(v)));	\
    __w; })
#endif /* __clipper__ */

/* Fujitsu vector computers.  */
#if defined (__uxp__) && W_TYPE_SIZE == 32
#define umul_ppmm(ph, pl, u, v) \
  do {									\
    union {UDItype __ll;						\
	   struct {USItype __h, __l;} __i;				\
	  } __x;							\
    __asm__ ("mult.lu %1,%2,%0"	: "=r" (__x.__ll) : "%r" (u), "rK" (v));\
    (ph) = __x.__i.__h;							\
    (pl) = __x.__i.__l;							\
  } while (0)
#define smul_ppmm(ph, pl, u, v) \
  do {									\
    union {UDItype __ll;						\
	   struct {USItype __h, __l;} __i;				\
	  } __x;							\
    __asm__ ("mult.l %1,%2,%0" : "=r" (__x.__ll) : "%r" (u), "rK" (v));	\
    (ph) = __x.__i.__h;							\
    (pl) = __x.__i.__l;							\
  } while (0)
#endif

#if defined (__gmicro__) && W_TYPE_SIZE == 32
#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
  __asm__ ("add.w %5,%1\n\taddx %3,%0"					\
	   : "=g" (sh), "=&g" (sl)					\
	   : "0"  ((USItype)(ah)), "g" ((USItype)(bh)),			\
	     "%1" ((USItype)(al)), "g" ((USItype)(bl)))
#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
  __asm__ ("sub.w %5,%1\n\tsubx %3,%0"					\
	   : "=g" (sh), "=&g" (sl)					\
	   : "0" ((USItype)(ah)), "g" ((USItype)(bh)),			\
	     "1" ((USItype)(al)), "g" ((USItype)(bl)))
#define umul_ppmm(ph, pl, m0, m1) \
  __asm__ ("mulx %3,%0,%1"						\
	   : "=g" (ph), "=r" (pl)					\
	   : "%0" ((USItype)(m0)), "g" ((USItype)(m1)))
#define udiv_qrnnd(q, r, nh, nl, d) \
  __asm__ ("divx %4,%0,%1"						\
	   : "=g" (q), "=r" (r)						\
	   : "1" ((USItype)(nh)), "0" ((USItype)(nl)), "g" ((USItype)(d)))
#define count_leading_zeros(count, x) \
  __asm__ ("bsch/1 %1,%0"						\
	   : "=g" (count) : "g" ((USItype)(x)), "0" ((USItype)0))
#endif

#if defined (__hppa) && W_TYPE_SIZE == 32
#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
  __asm__ ("add%I5 %5,%r4,%1\n\taddc %r2,%r3,%0"			\
	   : "=r" (sh), "=&r" (sl)					\
	   : "rM" (ah), "rM" (bh), "%rM" (al), "rI" (bl))
#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
  __asm__ ("sub%I4 %4,%r5,%1\n\tsubb %r2,%r3,%0"			\
	   : "=r" (sh), "=&r" (sl)					\
	   : "rM" (ah), "rM" (bh), "rI" (al), "rM" (bl))
#if defined (_PA_RISC1_1)
#define umul_ppmm(wh, wl, u, v) \
  do {									\
    union {UDItype __ll;						\
	   struct {USItype __h, __l;} __i;				\
	  } __x;							\
    __asm__ ("xmpyu %1,%2,%0" : "=*f" (__x.__ll) : "*f" (u), "*f" (v));	\
    (wh) = __x.__i.__h;							\
    (wl) = __x.__i.__l;							\
  } while (0)
#endif
#define count_leading_zeros(count, x) \
  do {									\
    USItype __tmp;							\
    __asm__ (								\
       "ldi		1,%0\n"						\
"	extru,=		%1,15,16,%%r0	; Bits 31..16 zero?\n"		\
"	extru,tr	%1,15,16,%1	; No.  Shift down, skip add.\n"	\
"	ldo		16(%0),%0	; Yes.  Perform add.\n"		\
"	extru,=		%1,23,8,%%r0	; Bits 15..8 zero?\n"		\
"	extru,tr	%1,23,8,%1	; No.  Shift down, skip add.\n"	\
"	ldo		8(%0),%0	; Yes.  Perform add.\n"		\
"	extru,=		%1,27,4,%%r0	; Bits 7..4 zero?\n"		\
"	extru,tr	%1,27,4,%1	; No.  Shift down, skip add.\n"	\
"	ldo		4(%0),%0	; Yes.  Perform add.\n"		\
"	extru,=		%1,29,2,%%r0	; Bits 3..2 zero?\n"		\
"	extru,tr	%1,29,2,%1	; No.  Shift down, skip add.\n"	\
"	ldo		2(%0),%0	; Yes.  Perform add.\n"		\
"	extru		%1,30,1,%1	; Extract bit 1.\n"		\
"	sub		%0,%1,%0	; Subtract it.\n"		\
	: "=r" (count), "=r" (__tmp) : "1" (x));			\
  } while (0)
#endif /* hppa */

/* These macros are for ABI=2.0w.  In ABI=2.0n they can't be used, since GCC
   (3.2) puts longlong into two adjacent 32-bit registers.  Presumably this
   is just a case of no direct support for 2.0n but treating it like 1.0. */
#if defined (__hppa) && W_TYPE_SIZE == 64 && ! defined (_LONG_LONG_LIMB)
#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
  __asm__ ("add%I5 %5,%r4,%1\n\tadd,dc %r2,%r3,%0"			\
	   : "=r" (sh), "=&r" (sl)					\
	   : "rM" (ah), "rM" (bh), "%rM" (al), "rI" (bl))
#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
  __asm__ ("sub%I4 %4,%r5,%1\n\tsub,db %r2,%r3,%0"			\
	   : "=r" (sh), "=&r" (sl)					\
	   : "rM" (ah), "rM" (bh), "rI" (al), "rM" (bl))
#endif /* hppa */

#if (defined (__i370__) || defined (__s390__) || defined (__mvs__)) && W_TYPE_SIZE == 32
#if defined (__zarch__) || defined (HAVE_HOST_CPU_s390_zarch)
#define add_ssaaaa(sh, sl, ah, al, bh, bl)				\
  do {									\
/*  if (__builtin_constant_p (bl))					\
      __asm__ ("alfi\t%1,%o5\n\talcr\t%0,%3"				\
	       : "=r" (sh), "=&r" (sl)					\
	       : "0"  (ah), "r" (bh), "%1" (al), "n" (bl) __CLOBBER_CC);\
    else								\
*/    __asm__ ("alr\t%1,%5\n\talcr\t%0,%3"				\
	       : "=r" (sh), "=&r" (sl)					\
	       : "0"  (ah), "r" (bh), "%1" (al), "r" (bl)__CLOBBER_CC);	\
  } while (0)
#define sub_ddmmss(sh, sl, ah, al, bh, bl)				\
  do {									\
/*  if (__builtin_constant_p (bl))					\
      __asm__ ("slfi\t%1,%o5\n\tslbr\t%0,%3"				\
	       : "=r" (sh), "=&r" (sl)					\
	       : "0" (ah), "r" (bh), "1" (al), "n" (bl) __CLOBBER_CC);	\
    else								\
*/    __asm__ ("slr\t%1,%5\n\tslbr\t%0,%3"				\
	       : "=r" (sh), "=&r" (sl)					\
	       : "0" (ah), "r" (bh), "1" (al), "r" (bl) __CLOBBER_CC);	\
  } while (0)
#if __GMP_GNUC_PREREQ (4,5)
#define umul_ppmm(xh, xl, m0, m1)					\
  do {									\
    union {UDItype __ll;						\
	   struct {USItype __h, __l;} __i;				\
	  } __x;							\
    __x.__ll = (UDItype) (m0) * (UDItype) (m1);				\
    (xh) = __x.__i.__h; (xl) = __x.__i.__l;				\
  } while (0)
#else
#if 0
/* FIXME: this fails if gcc knows about the 64-bit registers.  Use only
   with a new enough processor pretending we have 32-bit registers.  */
#define umul_ppmm(xh, xl, m0, m1)					\
  do {									\
    union {UDItype __ll;						\
	   struct {USItype __h, __l;} __i;				\
	  } __x;							\
    __asm__ ("mlr\t%0,%2"						\
	     : "=r" (__x.__ll)						\
	     : "%0" (m0), "r" (m1));					\
    (xh) = __x.__i.__h; (xl) = __x.__i.__l;				\
  } while (0)
#else
#define umul_ppmm(xh, xl, m0, m1)					\
  do {									\
  /* When we have 64-bit regs and gcc is aware of that, we cannot simply use
     DImode for the product, since that would be allocated to a single 64-bit
     register, whereas mlr uses the low 32-bits of an even-odd register pair.
  */									\
    register USItype __r0 __asm__ ("0");				\
    register USItype __r1 __asm__ ("1") = (m0);				\
    __asm__ ("mlr\t%0,%3"						\
	     : "=r" (__r0), "=r" (__r1)					\
	     : "r" (__r1), "r" (m1));					\
    (xh) = __r0; (xl) = __r1;						\
  } while (0)
#endif /* if 0 */
#endif
#if 0
/* FIXME: this fails if gcc knows about the 64-bit registers.  Use only
   with a new enough processor pretending we have 32-bit registers.  */
#define udiv_qrnnd(q, r, n1, n0, d)					\
  do {									\
    union {UDItype __ll;						\
	   struct {USItype __h, __l;} __i;				\
	  } __x;							\
    __x.__i.__h = n1; __x.__i.__l = n0;					\
    __asm__ ("dlr\t%0,%2"						\
	     : "=r" (__x.__ll)						\
	     : "0" (__x.__ll), "r" (d));				\
    (q) = __x.__i.__l; (r) = __x.__i.__h;				\
  } while (0)
#else
#define udiv_qrnnd(q, r, n1, n0, d)					\
  do {									\
    register USItype __r0 __asm__ ("0") = (n1);				\
    register USItype __r1 __asm__ ("1") = (n0);				\
    __asm__ ("dlr\t%0,%4"						\
	     : "=r" (__r0), "=r" (__r1)					\
	     : "r" (__r0), "r" (__r1), "r" (d));			\
    (q) = __r1; (r) = __r0;						\
  } while (0)
#endif /* if 0 */
#else /* if __zarch__ */
/* FIXME: this fails if gcc knows about the 64-bit registers.  */
#define smul_ppmm(xh, xl, m0, m1)					\
  do {									\
    union {DItype __ll;							\
	   struct {USItype __h, __l;} __i;				\
	  } __x;							\
    __asm__ ("mr\t%0,%2"						\
	     : "=r" (__x.__ll)						\
	     : "%0" (m0), "r" (m1));					\
    (xh) = __x.__i.__h; (xl) = __x.__i.__l;				\
  } while (0)
/* FIXME: this fails if gcc knows about the 64-bit registers.  */
#define sdiv_qrnnd(q, r, n1, n0, d)					\
  do {									\
    union {DItype __ll;							\
	   struct {USItype __h, __l;} __i;				\
	  } __x;							\
    __x.__i.__h = n1; __x.__i.__l = n0;					\
    __asm__ ("dr\t%0,%2"						\
	     : "=r" (__x.__ll)						\
	     : "0" (__x.__ll), "r" (d));				\
    (q) = __x.__i.__l; (r) = __x.__i.__h;				\
  } while (0)
#endif /* if __zarch__ */
#endif

#if defined (__s390x__) && W_TYPE_SIZE == 64
/* We need to cast operands with register constraints, otherwise their types
   will be assumed to be SImode by gcc.  For these machines, such operations
   will insert a value into the low 32 bits, and leave the high 32 bits with
   garbage.  */
#define add_ssaaaa(sh, sl, ah, al, bh, bl)				\
  do {									\
    __asm__ ("algr\t%1,%5\n\talcgr\t%0,%3"				\
	       : "=r" (sh), "=&r" (sl)					\
	       : "0"  ((UDItype)(ah)), "r" ((UDItype)(bh)),		\
		 "%1" ((UDItype)(al)), "r" ((UDItype)(bl)) __CLOBBER_CC); \
  } while (0)
#define sub_ddmmss(sh, sl, ah, al, bh, bl)				\
  do {									\
    __asm__ ("slgr\t%1,%5\n\tslbgr\t%0,%3"				\
	     : "=r" (sh), "=&r" (sl)					\
	     : "0" ((UDItype)(ah)), "r" ((UDItype)(bh)),		\
	       "1" ((UDItype)(al)), "r" ((UDItype)(bl)) __CLOBBER_CC);	\
  } while (0)
#define umul_ppmm(xh, xl, m0, m1)					\
  do {									\
    union {unsigned int __attribute__ ((mode(TI))) __ll;		\
	   struct {UDItype __h, __l;} __i;				\
	  } __x;							\
    __asm__ ("mlgr\t%0,%2"						\
	     : "=r" (__x.__ll)						\
	     : "%0" ((UDItype)(m0)), "r" ((UDItype)(m1)));		\
    (xh) = __x.__i.__h; (xl) = __x.__i.__l;				\
  } while (0)
#define udiv_qrnnd(q, r, n1, n0, d)					\
  do {									\
    union {unsigned int __attribute__ ((mode(TI))) __ll;		\
	   struct {UDItype __h, __l;} __i;				\
	  } __x;							\
    __x.__i.__h = n1; __x.__i.__l = n0;					\
    __asm__ ("dlgr\t%0,%2"						\
	     : "=r" (__x.__ll)						\
	     : "0" (__x.__ll), "r" ((UDItype)(d)));			\
    (q) = __x.__i.__l; (r) = __x.__i.__h;				\
  } while (0)
#if 0 /* FIXME: Enable for z10 (?) */
#define count_leading_zeros(cnt, x)					\
  do {									\
    union {unsigned int __attribute__ ((mode(TI))) __ll;		\
	   struct {UDItype __h, __l;} __i;				\
	  } __clr_cnt;							\
    __asm__ ("flogr\t%0,%1"						\
	     : "=r" (__clr_cnt.__ll)					\
	     : "r" (x) __CLOBBER_CC);					\
    (cnt) = __clr_cnt.__i.__h;						\
  } while (0)
#endif
#endif

/* On x86 and x86_64, every asm implicitly clobbers "flags" and "fpsr",
   so we don't need __CLOBBER_CC.  */
#if (defined (__i386__) || defined (__i486__)) && W_TYPE_SIZE == 32
#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
  __asm__ ("addl %5,%k1\n\tadcl %3,%k0"					\
	   : "=r" (sh), "=&r" (sl)					\
	   : "0"  ((USItype)(ah)), "g" ((USItype)(bh)),			\
	     "%1" ((USItype)(al)), "g" ((USItype)(bl)))
#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
  __asm__ ("subl %5,%k1\n\tsbbl %3,%k0"					\
	   : "=r" (sh), "=&r" (sl)					\
	   : "0" ((USItype)(ah)), "g" ((USItype)(bh)),			\
	     "1" ((USItype)(al)), "g" ((USItype)(bl)))
#define umul_ppmm(w1, w0, u, v) \
  __asm__ ("mull %3"							\
	   : "=a" (w0), "=d" (w1)					\
	   : "%0" ((USItype)(u)), "rm" ((USItype)(v)))
#define udiv_qrnnd(q, r, n1, n0, dx) /* d renamed to dx avoiding "=d" */\
  __asm__ ("divl %4"		     /* stringification in K&R C */	\
	   : "=a" (q), "=d" (r)						\
	   : "0" ((USItype)(n0)), "1" ((USItype)(n1)), "rm" ((USItype)(dx)))

#if HAVE_HOST_CPU_i586 || HAVE_HOST_CPU_pentium || HAVE_HOST_CPU_pentiummmx
/* Pentium bsrl takes between 10 and 72 cycles depending where the most
   significant 1 bit is, hence the use of the following alternatives.  bsfl
   is slow too, between 18 and 42 depending where the least significant 1
   bit is, so let the generic count_trailing_zeros below make use of the
   count_leading_zeros here too.  */

#if HAVE_HOST_CPU_pentiummmx && ! defined (LONGLONG_STANDALONE)
/* The following should be a fixed 14 or 15 cycles, but possibly plus an L1
   cache miss reading from __clz_tab.  For P55 it's favoured over the float
   below so as to avoid mixing MMX and x87, since the penalty for switching
   between the two is about 100 cycles.

   The asm block sets __shift to -3 if the high 24 bits are clear, -2 for
   16, -1 for 8, or 0 otherwise.  This could be written equivalently as
   follows, but as of gcc 2.95.2 it results in conditional jumps.

       __shift = -(__n < 0x1000000);
       __shift -= (__n < 0x10000);
       __shift -= (__n < 0x100);

   The middle two sbbl and cmpl's pair, and with luck something gcc
   generates might pair with the first cmpl and the last sbbl.  The "32+1"
   constant could be folded into __clz_tab[], but it doesn't seem worth
   making a different table just for that.  */

#define count_leading_zeros(c,n)					\
  do {									\
    USItype  __n = (n);							\
    USItype  __shift;							\
    __asm__ ("cmpl  $0x1000000, %1\n"					\
	     "sbbl  %0, %0\n"						\
	     "cmpl  $0x10000, %1\n"					\
	     "sbbl  $0, %0\n"						\
	     "cmpl  $0x100, %1\n"					\
	     "sbbl  $0, %0\n"						\
	     : "=&r" (__shift) : "r"  (__n));				\
    __shift = __shift*8 + 24 + 1;					\
    (c) = 32 + 1 - __shift - __clz_tab[__n >> __shift];			\
  } while (0)
#define COUNT_LEADING_ZEROS_NEED_CLZ_TAB
#define COUNT_LEADING_ZEROS_0   31   /* n==0 indistinguishable from n==1 */

#else /* ! pentiummmx || LONGLONG_STANDALONE */
/* The following should be a fixed 14 cycles or so.  Some scheduling
   opportunities should be available between the float load/store too.  This
   sort of code is used in gcc 3 for __builtin_ffs (with "n&-n") and is
   apparently suggested by the Intel optimizing manual (don't know exactly
   where).  gcc 2.95 or up will be best for this, so the "double" is
   correctly aligned on the stack.  */
#define count_leading_zeros(c,n)					\
  do {									\
    union {								\
      double    d;							\
      unsigned  a[2];							\
    } __u;								\
    __u.d = (UWtype) (n);						\
    (c) = 0x3FF + 31 - (__u.a[1] >> 20);				\
  } while (0)
#define COUNT_LEADING_ZEROS_0   (0x3FF + 31)
#endif /* pentiummx */

#else /* ! pentium */

#if __GMP_GNUC_PREREQ (3,4)  /* using bsrl */
#define count_leading_zeros(count,x)  count_leading_zeros_gcc_clz(count,x)
#endif /* gcc clz */

/* On P6, gcc prior to 3.0 generates a partial register stall for
   __cbtmp^31, due to using "xorb $31" instead of "xorl $31", the former
   being 1 code byte smaller.  "31-__cbtmp" is a workaround, probably at the
   cost of one extra instruction.  Do this for "i386" too, since that means
   generic x86.  */
#if ! defined (count_leading_zeros) && __GNUC__ < 3			\
  && (HAVE_HOST_CPU_i386						\
      || HAVE_HOST_CPU_i686						\
      || HAVE_HOST_CPU_pentiumpro					\
      || HAVE_HOST_CPU_pentium2						\
      || HAVE_HOST_CPU_pentium3)
#define count_leading_zeros(count, x)					\
  do {									\
    USItype __cbtmp;							\
    ASSERT ((x) != 0);							\
    __asm__ ("bsrl %1,%0" : "=r" (__cbtmp) : "rm" ((USItype)(x)));	\
    (count) = 31 - __cbtmp;						\
  } while (0)
#endif /* gcc<3 asm bsrl */

#ifndef count_leading_zeros
#define count_leading_zeros(count, x)					\
  do {									\
    USItype __cbtmp;							\
    ASSERT ((x) != 0);							\
    __asm__ ("bsrl %1,%0" : "=r" (__cbtmp) : "rm" ((USItype)(x)));	\
    (count) = __cbtmp ^ 31;						\
  } while (0)
#endif /* asm bsrl */

#if __GMP_GNUC_PREREQ (3,4)  /* using bsfl */
#define count_trailing_zeros(count,x)  count_trailing_zeros_gcc_ctz(count,x)
#endif /* gcc ctz */

#ifndef count_trailing_zeros
#define count_trailing_zeros(count, x)					\
  do {									\
    ASSERT ((x) != 0);							\
    __asm__ ("bsfl %1,%k0" : "=r" (count) : "rm" ((USItype)(x)));	\
  } while (0)
#endif /* asm bsfl */

#endif /* ! pentium */

#endif /* 80x86 */

#if defined (__amd64__) && W_TYPE_SIZE == 64
#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
  __asm__ ("addq %5,%q1\n\tadcq %3,%q0"					\
	   : "=r" (sh), "=&r" (sl)					\
	   : "0"  ((UDItype)(ah)), "rme" ((UDItype)(bh)),		\
	     "%1" ((UDItype)(al)), "rme" ((UDItype)(bl)))
#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
  __asm__ ("subq %5,%q1\n\tsbbq %3,%q0"					\
	   : "=r" (sh), "=&r" (sl)					\
	   : "0" ((UDItype)(ah)), "rme" ((UDItype)(bh)),		\
	     "1" ((UDItype)(al)), "rme" ((UDItype)(bl)))
#if X86_ASM_MULX \
   && (HAVE_HOST_CPU_haswell || HAVE_HOST_CPU_broadwell \
       || HAVE_HOST_CPU_skylake || HAVE_HOST_CPU_bd4 || HAVE_HOST_CPU_zen)
#define umul_ppmm(w1, w0, u, v) \
  __asm__ ("mulx\t%3, %q0, %q1"						\
	   : "=r" (w0), "=r" (w1)					\
	   : "%d" ((UDItype)(u)), "rm" ((UDItype)(v)))
#else
#define umul_ppmm(w1, w0, u, v) \
  __asm__ ("mulq\t%3"							\
	   : "=a" (w0), "=d" (w1)					\
	   : "%0" ((UDItype)(u)), "rm" ((UDItype)(v)))
#endif
#define udiv_qrnnd(q, r, n1, n0, dx) /* d renamed to dx avoiding "=d" */\
  __asm__ ("divq %4"		     /* stringification in K&R C */	\
	   : "=a" (q), "=d" (r)						\
	   : "0" ((UDItype)(n0)), "1" ((UDItype)(n1)), "rm" ((UDItype)(dx)))

#if HAVE_HOST_CPU_haswell || HAVE_HOST_CPU_broadwell || HAVE_HOST_CPU_skylake \
  || HAVE_HOST_CPU_k10 || HAVE_HOST_CPU_bd1 || HAVE_HOST_CPU_bd2	\
  || HAVE_HOST_CPU_bd3 || HAVE_HOST_CPU_bd4 || HAVE_HOST_CPU_zen	\
  || HAVE_HOST_CPU_bobcat || HAVE_HOST_CPU_jaguar
#define count_leading_zeros(count, x)					\
  do {									\
    /* This is lzcnt, spelled for older assemblers.  Destination and */	\
    /* source must be a 64-bit registers, hence cast and %q.         */	\
    __asm__ ("rep;bsr\t%1, %q0" : "=r" (count) : "rm" ((UDItype)(x)));	\
  } while (0)
#define COUNT_LEADING_ZEROS_0 64
#else
#define count_leading_zeros(count, x)					\
  do {									\
    UDItype __cbtmp;							\
    ASSERT ((x) != 0);							\
    __asm__ ("bsr\t%1,%0" : "=r" (__cbtmp) : "rm" ((UDItype)(x)));	\
    (count) = __cbtmp ^ 63;						\
  } while (0)
#endif

#if HAVE_HOST_CPU_bd2 || HAVE_HOST_CPU_bd3 || HAVE_HOST_CPU_bd4 \
  || HAVE_HOST_CPU_zen || HAVE_HOST_CPU_jaguar
#define count_trailing_zeros(count, x)					\
  do {									\
    /* This is tzcnt, spelled for older assemblers.  Destination and */	\
    /* source must be a 64-bit registers, hence cast and %q.         */	\
    __asm__ ("rep;bsf\t%1, %q0" : "=r" (count) : "rm" ((UDItype)(x)));	\
  } while (0)
#define COUNT_TRAILING_ZEROS_0 64
#else
#define count_trailing_zeros(count, x)					\
  do {									\
    ASSERT ((x) != 0);							\
    __asm__ ("bsf\t%1, %q0" : "=r" (count) : "rm" ((UDItype)(x)));	\
  } while (0)
#endif
#endif /* __amd64__ */

#if defined (__i860__) && W_TYPE_SIZE == 32
#define rshift_rhlc(r,h,l,c) \
  __asm__ ("shr %3,r0,r0\;shrd %1,%2,%0"				\
	   "=r" (r) : "r" (h), "r" (l), "rn" (c))
#endif /* i860 */

#if defined (__i960__) && W_TYPE_SIZE == 32
#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
  __asm__ ("cmpo 1,0\;addc %5,%4,%1\;addc %3,%2,%0"			\
	   : "=r" (sh), "=&r" (sl)					\
	   : "dI" (ah), "dI" (bh), "%dI" (al), "dI" (bl))
#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
  __asm__ ("cmpo 0,0\;subc %5,%4,%1\;subc %3,%2,%0"			\
	   : "=r" (sh), "=&r" (sl)					\
	   : "dI" (ah), "dI" (bh), "dI" (al), "dI" (bl))
#define umul_ppmm(w1, w0, u, v) \
  ({union {UDItype __ll;						\
	   struct {USItype __l, __h;} __i;				\
	  } __x;							\
  __asm__ ("emul %2,%1,%0"						\
	   : "=d" (__x.__ll) : "%dI" (u), "dI" (v));			\
  (w1) = __x.__i.__h; (w0) = __x.__i.__l;})
#define __umulsidi3(u, v) \
  ({UDItype __w;							\
    __asm__ ("emul %2,%1,%0" : "=d" (__w) : "%dI" (u), "dI" (v));	\
    __w; })
#define udiv_qrnnd(q, r, nh, nl, d) \
  do {									\
    union {UDItype __ll;						\
	   struct {USItype __l, __h;} __i;				\
	  } __nn;							\
    __nn.__i.__h = (nh); __nn.__i.__l = (nl);				\
    __asm__ ("ediv %d,%n,%0"						\
	   : "=d" (__rq.__ll) : "dI" (__nn.__ll), "dI" (d));		\
    (r) = __rq.__i.__l; (q) = __rq.__i.__h;				\
  } while (0)
#define count_leading_zeros(count, x) \
  do {									\
    USItype __cbtmp;							\
    __asm__ ("scanbit %1,%0" : "=r" (__cbtmp) : "r" (x));		\
    (count) = __cbtmp ^ 31;						\
  } while (0)
#define COUNT_LEADING_ZEROS_0 (-32) /* sic */
#if defined (__i960mx)		/* what is the proper symbol to test??? */
#define rshift_rhlc(r,h,l,c) \
  do {									\
    union {UDItype __ll;						\
	   struct {USItype __l, __h;} __i;				\
	  } __nn;							\
    __nn.__i.__h = (h); __nn.__i.__l = (l);				\
    __asm__ ("shre %2,%1,%0" : "=d" (r) : "dI" (__nn.__ll), "dI" (c));	\
  }
#endif /* i960mx */
#endif /* i960 */

#if (defined (__mc68000__) || defined (__mc68020__) || defined(mc68020) \
     || defined (__m68k__) || defined (__mc5200__) || defined (__mc5206e__) \
     || defined (__mc5307__)) && W_TYPE_SIZE == 32
#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
  __asm__ ("add%.l %5,%1\n\taddx%.l %3,%0"				\
	   : "=d" (sh), "=&d" (sl)					\
	   : "0"  ((USItype)(ah)), "d" ((USItype)(bh)),			\
	     "%1" ((USItype)(al)), "g" ((USItype)(bl)))
#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
  __asm__ ("sub%.l %5,%1\n\tsubx%.l %3,%0"				\
	   : "=d" (sh), "=&d" (sl)					\
	   : "0" ((USItype)(ah)), "d" ((USItype)(bh)),			\
	     "1" ((USItype)(al)), "g" ((USItype)(bl)))
/* The '020, '030, '040 and CPU32 have 32x32->64 and 64/32->32q-32r.  */
#if defined (__mc68020__) || defined(mc68020) \
     || defined (__mc68030__) || defined (mc68030) \
     || defined (__mc68040__) || defined (mc68040) \
     || defined (__mcpu32__) || defined (mcpu32) \
     || defined (__NeXT__)
#define umul_ppmm(w1, w0, u, v) \
  __asm__ ("mulu%.l %3,%1:%0"						\
	   : "=d" (w0), "=d" (w1)					\
	   : "%0" ((USItype)(u)), "dmi" ((USItype)(v)))
#define udiv_qrnnd(q, r, n1, n0, d) \
  __asm__ ("divu%.l %4,%1:%0"						\
	   : "=d" (q), "=d" (r)						\
	   : "0" ((USItype)(n0)), "1" ((USItype)(n1)), "dmi" ((USItype)(d)))
#define sdiv_qrnnd(q, r, n1, n0, d) \
  __asm__ ("divs%.l %4,%1:%0"						\
	   : "=d" (q), "=d" (r)						\
	   : "0" ((USItype)(n0)), "1" ((USItype)(n1)), "dmi" ((USItype)(d)))
#else /* for other 68k family members use 16x16->32 multiplication */
#define umul_ppmm(xh, xl, a, b) \
  do { USItype __umul_tmp1, __umul_tmp2;				\
	__asm__ ("| Inlined umul_ppmm\n"				\
"	move%.l	%5,%3\n"						\
"	move%.l	%2,%0\n"						\
"	move%.w	%3,%1\n"						\
"	swap	%3\n"							\
"	swap	%0\n"							\
"	mulu%.w	%2,%1\n"						\
"	mulu%.w	%3,%0\n"						\
"	mulu%.w	%2,%3\n"						\
"	swap	%2\n"							\
"	mulu%.w	%5,%2\n"						\
"	add%.l	%3,%2\n"						\
"	jcc	1f\n"							\
"	add%.l	%#0x10000,%0\n"						\
"1:	move%.l	%2,%3\n"						\
"	clr%.w	%2\n"							\
"	swap	%2\n"							\
"	swap	%3\n"							\
"	clr%.w	%3\n"							\
"	add%.l	%3,%1\n"						\
"	addx%.l	%2,%0\n"						\
"	| End inlined umul_ppmm"					\
	      : "=&d" (xh), "=&d" (xl),					\
		"=d" (__umul_tmp1), "=&d" (__umul_tmp2)			\
	      : "%2" ((USItype)(a)), "d" ((USItype)(b)));		\
  } while (0)
#endif /* not mc68020 */
/* The '020, '030, '040 and '060 have bitfield insns.
   GCC 3.4 defines __mc68020__ when in CPU32 mode, check for __mcpu32__ to
   exclude bfffo on that chip (bitfield insns not available).  */
#if (defined (__mc68020__) || defined (mc68020)    \
     || defined (__mc68030__) || defined (mc68030) \
     || defined (__mc68040__) || defined (mc68040) \
     || defined (__mc68060__) || defined (mc68060) \
     || defined (__NeXT__))			   \
  && ! defined (__mcpu32__)
#define count_leading_zeros(count, x) \
  __asm__ ("bfffo %1{%b2:%b2},%0"					\
	   : "=d" (count)						\
	   : "od" ((USItype) (x)), "n" (0))
#define COUNT_LEADING_ZEROS_0 32
#endif
#endif /* mc68000 */

#if defined (__m88000__) && W_TYPE_SIZE == 32
#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
  __asm__ ("addu.co %1,%r4,%r5\n\taddu.ci %0,%r2,%r3"			\
	   : "=r" (sh), "=&r" (sl)					\
	   : "rJ" (ah), "rJ" (bh), "%rJ" (al), "rJ" (bl))
#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
  __asm__ ("subu.co %1,%r4,%r5\n\tsubu.ci %0,%r2,%r3"			\
	   : "=r" (sh), "=&r" (sl)					\
	   : "rJ" (ah), "rJ" (bh), "rJ" (al), "rJ" (bl))
#define count_leading_zeros(count, x) \
  do {									\
    USItype __cbtmp;							\
    __asm__ ("ff1 %0,%1" : "=r" (__cbtmp) : "r" (x));			\
    (count) = __cbtmp ^ 31;						\
  } while (0)
#define COUNT_LEADING_ZEROS_0 63 /* sic */
#if defined (__m88110__)
#define umul_ppmm(wh, wl, u, v) \
  do {									\
    union {UDItype __ll;						\
	   struct {USItype __h, __l;} __i;				\
	  } __x;							\
    __asm__ ("mulu.d %0,%1,%2" : "=r" (__x.__ll) : "r" (u), "r" (v));	\
    (wh) = __x.__i.__h;							\
    (wl) = __x.__i.__l;							\
  } while (0)
#define udiv_qrnnd(q, r, n1, n0, d) \
  ({union {UDItype __ll;						\
	   struct {USItype __h, __l;} __i;				\
	  } __x, __q;							\
  __x.__i.__h = (n1); __x.__i.__l = (n0);				\
  __asm__ ("divu.d %0,%1,%2"						\
	   : "=r" (__q.__ll) : "r" (__x.__ll), "r" (d));		\
  (r) = (n0) - __q.__l * (d); (q) = __q.__l; })
#endif /* __m88110__ */
#endif /* __m88000__ */

#if defined (__mips) && W_TYPE_SIZE == 32
#if __GMP_GNUC_PREREQ (4,4)
#define umul_ppmm(w1, w0, u, v) \
  do {									\
    UDItype __ll = (UDItype)(u) * (v);					\
    w1 = __ll >> 32;							\
    w0 = __ll;								\
  } while (0)
#endif
#if !defined (umul_ppmm) && __GMP_GNUC_PREREQ (2,7) && !defined (__clang__)
#define umul_ppmm(w1, w0, u, v) \
  __asm__ ("multu %2,%3" : "=l" (w0), "=h" (w1) : "d" (u), "d" (v))
#endif
#if !defined (umul_ppmm)
#define umul_ppmm(w1, w0, u, v) \
  __asm__ ("multu %2,%3\n\tmflo %0\n\tmfhi %1"				\
	   : "=d" (w0), "=d" (w1) : "d" (u), "d" (v))
#endif
#endif /* __mips */

#if (defined (__mips) && __mips >= 3) && W_TYPE_SIZE == 64
#if defined (_MIPS_ARCH_MIPS64R6)
#define umul_ppmm(w1, w0, u, v) \
  do {									\
    UDItype __m0 = (u), __m1 = (v);					\
    (w0) = __m0 * __m1;							\
    __asm__ ("dmuhu\t%0, %1, %2" : "=d" (w1) : "d" (__m0), "d" (__m1));	\
  } while (0)
#endif
#if !defined (umul_ppmm) && __GMP_GNUC_PREREQ (4,4)
#define umul_ppmm(w1, w0, u, v) \
  do {									\
    typedef unsigned int __ll_UTItype __attribute__((mode(TI)));	\
    __ll_UTItype __ll = (__ll_UTItype)(u) * (v);			\
    w1 = __ll >> 64;							\
    w0 = __ll;								\
  } while (0)
#endif
#if !defined (umul_ppmm) && __GMP_GNUC_PREREQ (2,7) && !defined (__clang__)
#define umul_ppmm(w1, w0, u, v) \
  __asm__ ("dmultu %2,%3"						\
	   : "=l" (w0), "=h" (w1)					\
	   : "d" ((UDItype)(u)), "d" ((UDItype)(v)))
#endif
#if !defined (umul_ppmm)
#define umul_ppmm(w1, w0, u, v) \
  __asm__ ("dmultu %2,%3\n\tmflo %0\n\tmfhi %1"				\
	   : "=d" (w0), "=d" (w1)					\
	   : "d" ((UDItype)(u)), "d" ((UDItype)(v)))
#endif
#endif /* __mips */

#if defined (__mmix__) && W_TYPE_SIZE == 64
#define umul_ppmm(w1, w0, u, v) \
  __asm__ ("MULU %0,%2,%3" : "=r" (w0), "=z" (w1) : "r" (u), "r" (v))
#endif

#if defined (__ns32000__) && W_TYPE_SIZE == 32
#define umul_ppmm(w1, w0, u, v) \
  ({union {UDItype __ll;						\
	   struct {USItype __l, __h;} __i;				\
	  } __x;							\
  __asm__ ("meid %2,%0"							\
	   : "=g" (__x.__ll)						\
	   : "%0" ((USItype)(u)), "g" ((USItype)(v)));			\
  (w1) = __x.__i.__h; (w0) = __x.__i.__l;})
#define __umulsidi3(u, v) \
  ({UDItype __w;							\
    __asm__ ("meid %2,%0"						\
	     : "=g" (__w)						\
	     : "%0" ((USItype)(u)), "g" ((USItype)(v)));		\
    __w; })
#define udiv_qrnnd(q, r, n1, n0, d) \
  ({union {UDItype __ll;						\
	   struct {USItype __l, __h;} __i;				\
	  } __x;							\
  __x.__i.__h = (n1); __x.__i.__l = (n0);				\
  __asm__ ("deid %2,%0"							\
	   : "=g" (__x.__ll)						\
	   : "0" (__x.__ll), "g" ((USItype)(d)));			\
  (r) = __x.__i.__l; (q) = __x.__i.__h; })
#define count_trailing_zeros(count,x) \
  do {									\
    __asm__ ("ffsd	%2,%0"						\
	     : "=r" (count)						\
	     : "0" ((USItype) 0), "r" ((USItype) (x)));			\
  } while (0)
#endif /* __ns32000__ */

/* In the past we had a block of various #defines tested
       _ARCH_PPC    - AIX
       _ARCH_PWR    - AIX
       __powerpc__  - gcc
       __POWERPC__  - BEOS
       __ppc__      - Darwin
       PPC          - old gcc, GNU/Linux, SysV
   The plain PPC test was not good for vxWorks, since PPC is defined on all
   CPUs there (eg. m68k too), as a constant one is expected to compare
   CPU_FAMILY against.

   At any rate, this was pretty unattractive and a bit fragile.  The use of
   HAVE_HOST_CPU_FAMILY is designed to cut through it all and be sure of
   getting the desired effect.

   ENHANCE-ME: We should test _IBMR2 here when we add assembly support for
   the system vendor compilers.  (Is that vendor compilers with inline asm,
   or what?)  */

#if (HAVE_HOST_CPU_FAMILY_power || HAVE_HOST_CPU_FAMILY_powerpc)	\
  && W_TYPE_SIZE == 32
#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
  do {									\
    if (__builtin_constant_p (bh) && (bh) == 0)				\
      __asm__ ("add%I4c %1,%3,%4\n\taddze %0,%2"			\
	       : "=r" (sh), "=&r" (sl) : "r" (ah), "%r" (al), "rI" (bl)	\
		 __CLOBBER_CC);						\
    else if (__builtin_constant_p (bh) && (bh) == ~(USItype) 0)		\
      __asm__ ("add%I4c %1,%3,%4\n\taddme %0,%2"			\
	       : "=r" (sh), "=&r" (sl) : "r" (ah), "%r" (al), "rI" (bl)	\
		 __CLOBBER_CC);						\
    else								\
      __asm__ ("add%I5c %1,%4,%5\n\tadde %0,%2,%3"			\
	       : "=r" (sh), "=&r" (sl)					\
	       : "r" (ah), "r" (bh), "%r" (al), "rI" (bl)		\
		 __CLOBBER_CC);						\
  } while (0)
#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
  do {									\
    if (__builtin_constant_p (ah) && (ah) == 0)				\
      __asm__ ("subf%I3c %1,%4,%3\n\tsubfze %0,%2"			\
	       : "=r" (sh), "=&r" (sl) : "r" (bh), "rI" (al), "r" (bl)	\
		 __CLOBBER_CC);						\
    else if (__builtin_constant_p (ah) && (ah) == ~(USItype) 0)		\
      __asm__ ("subf%I3c %1,%4,%3\n\tsubfme %0,%2"			\
	       : "=r" (sh), "=&r" (sl) : "r" (bh), "rI" (al), "r" (bl)	\
		 __CLOBBER_CC);						\
    else if (__builtin_constant_p (bh) && (bh) == 0)			\
      __asm__ ("subf%I3c %1,%4,%3\n\taddme %0,%2"			\
	       : "=r" (sh), "=&r" (sl) : "r" (ah), "rI" (al), "r" (bl)	\
		 __CLOBBER_CC);						\
    else if (__builtin_constant_p (bh) && (bh) == ~(USItype) 0)		\
      __asm__ ("subf%I3c %1,%4,%3\n\taddze %0,%2"			\
	       : "=r" (sh), "=&r" (sl) : "r" (ah), "rI" (al), "r" (bl)	\
		 __CLOBBER_CC);						\
    else								\
      __asm__ ("subf%I4c %1,%5,%4\n\tsubfe %0,%3,%2"			\
	       : "=r" (sh), "=&r" (sl)					\
	       : "r" (ah), "r" (bh), "rI" (al), "r" (bl)		\
		 __CLOBBER_CC);						\
  } while (0)
#define count_leading_zeros(count, x) \
  __asm__ ("cntlzw %0,%1" : "=r" (count) : "r" (x))
#define COUNT_LEADING_ZEROS_0 32
#if HAVE_HOST_CPU_FAMILY_powerpc
#if __GMP_GNUC_PREREQ (4,4)
#define umul_ppmm(w1, w0, u, v) \
  do {									\
    UDItype __ll = (UDItype)(u) * (v);					\
    w1 = __ll >> 32;							\
    w0 = __ll;								\
  } while (0)
#endif
#if !defined (umul_ppmm)
#define umul_ppmm(ph, pl, m0, m1) \
  do {									\
    USItype __m0 = (m0), __m1 = (m1);					\
    __asm__ ("mulhwu %0,%1,%2" : "=r" (ph) : "%r" (m0), "r" (m1));	\
    (pl) = __m0 * __m1;							\
  } while (0)
#endif
#define smul_ppmm(ph, pl, m0, m1) \
  do {									\
    SItype __m0 = (m0), __m1 = (m1);					\
    __asm__ ("mulhw %0,%1,%2" : "=r" (ph) : "%r" (m0), "r" (m1));	\
    (pl) = __m0 * __m1;							\
  } while (0)
#else
#define smul_ppmm(xh, xl, m0, m1) \
  __asm__ ("mul %0,%2,%3" : "=r" (xh), "=q" (xl) : "r" (m0), "r" (m1))
#define sdiv_qrnnd(q, r, nh, nl, d) \
  __asm__ ("div %0,%2,%4" : "=r" (q), "=q" (r) : "r" (nh), "1" (nl), "r" (d))
#endif
#endif /* 32-bit POWER architecture variants.  */

/* We should test _IBMR2 here when we add assembly support for the system
   vendor compilers.  */
#if HAVE_HOST_CPU_FAMILY_powerpc && W_TYPE_SIZE == 64
#if !defined (_LONG_LONG_LIMB)
/* _LONG_LONG_LIMB is ABI=mode32 where adde operates on 32-bit values.  So
   use adde etc only when not _LONG_LONG_LIMB.  */
#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
  do {									\
    if (__builtin_constant_p (bh) && (bh) == 0)				\
      __asm__ ("add%I4c %1,%3,%4\n\taddze %0,%2"			\
	       : "=r" (sh), "=&r" (sl)					\
	       : "r"  ((UDItype)(ah)),					\
		 "%r" ((UDItype)(al)), "rI" ((UDItype)(bl))		\
		 __CLOBBER_CC);						\
    else if (__builtin_constant_p (bh) && (bh) == ~(UDItype) 0)		\
      __asm__ ("add%I4c %1,%3,%4\n\taddme %0,%2"			\
	       : "=r" (sh), "=&r" (sl)					\
	       : "r"  ((UDItype)(ah)),					\
		 "%r" ((UDItype)(al)), "rI" ((UDItype)(bl))		\
		 __CLOBBER_CC);						\
    else								\
      __asm__ ("add%I5c %1,%4,%5\n\tadde %0,%2,%3"			\
	       : "=r" (sh), "=&r" (sl)					\
	       : "r"  ((UDItype)(ah)), "r"  ((UDItype)(bh)),		\
		 "%r" ((UDItype)(al)), "rI" ((UDItype)(bl))		\
		 __CLOBBER_CC);						\
  } while (0)
/* We use "*rI" for the constant operand here, since with just "I", gcc barfs.
   This might seem strange, but gcc folds away the dead code late.  */
#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
  do {									\
    if (__builtin_constant_p (bl)					\
	&& (bl) > -0x8000 && (bl) <= 0x8000 && (bl) != 0) {		\
	if (__builtin_constant_p (ah) && (ah) == 0)			\
	  __asm__ ("addic %1,%3,%4\n\tsubfze %0,%2"			\
		   : "=r" (sh), "=&r" (sl)				\
		   :                       "r" ((UDItype)(bh)),		\
		     "r" ((UDItype)(al)), "*rI" (-((UDItype)(bl)))	\
		     __CLOBBER_CC);					\
	else if (__builtin_constant_p (ah) && (ah) == ~(UDItype) 0)	\
	  __asm__ ("addic %1,%3,%4\n\tsubfme %0,%2"			\
		   : "=r" (sh), "=&r" (sl)				\
		   :                       "r" ((UDItype)(bh)),		\
		     "r" ((UDItype)(al)), "*rI" (-((UDItype)(bl)))	\
		     __CLOBBER_CC);					\
	else if (__builtin_constant_p (bh) && (bh) == 0)		\
	  __asm__ ("addic %1,%3,%4\n\taddme %0,%2"			\
		   : "=r" (sh), "=&r" (sl)				\
		   : "r" ((UDItype)(ah)),				\
		     "r" ((UDItype)(al)), "*rI" (-((UDItype)(bl)))	\
		     __CLOBBER_CC);					\
	else if (__builtin_constant_p (bh) && (bh) == ~(UDItype) 0)	\
	  __asm__ ("addic %1,%3,%4\n\taddze %0,%2"			\
		   : "=r" (sh), "=&r" (sl)				\
		   : "r" ((UDItype)(ah)),				\
		     "r" ((UDItype)(al)), "*rI" (-((UDItype)(bl)))	\
		     __CLOBBER_CC);					\
	else								\
	  __asm__ ("addic %1,%4,%5\n\tsubfe %0,%3,%2"			\
		   : "=r" (sh), "=&r" (sl)				\
		   : "r" ((UDItype)(ah)), "r" ((UDItype)(bh)),		\
		     "r" ((UDItype)(al)), "*rI" (-((UDItype)(bl)))	\
		     __CLOBBER_CC);					\
    } else {								\
	if (__builtin_constant_p (ah) && (ah) == 0)			\
	  __asm__ ("subf%I3c %1,%4,%3\n\tsubfze %0,%2"			\
		   : "=r" (sh), "=&r" (sl)				\
		   :                       "r" ((UDItype)(bh)),		\
		     "rI" ((UDItype)(al)), "r" ((UDItype)(bl))		\
		     __CLOBBER_CC);					\
	else if (__builtin_constant_p (ah) && (ah) == ~(UDItype) 0)	\
	  __asm__ ("subf%I3c %1,%4,%3\n\tsubfme %0,%2"			\
		   : "=r" (sh), "=&r" (sl)				\
		   :                       "r" ((UDItype)(bh)),		\
		     "rI" ((UDItype)(al)), "r" ((UDItype)(bl))		\
		     __CLOBBER_CC);					\
	else if (__builtin_constant_p (bh) && (bh) == 0)		\
	  __asm__ ("subf%I3c %1,%4,%3\n\taddme %0,%2"			\
		   : "=r" (sh), "=&r" (sl)				\
		   : "r"  ((UDItype)(ah)),				\
		     "rI" ((UDItype)(al)), "r" ((UDItype)(bl))		\
		     __CLOBBER_CC);					\
	else if (__builtin_constant_p (bh) && (bh) == ~(UDItype) 0)	\
	  __asm__ ("subf%I3c %1,%4,%3\n\taddze %0,%2"			\
		   : "=r" (sh), "=&r" (sl)				\
		   : "r"  ((UDItype)(ah)),				\
		     "rI" ((UDItype)(al)), "r" ((UDItype)(bl))		\
		     __CLOBBER_CC);					\
	else								\
	  __asm__ ("subf%I4c %1,%5,%4\n\tsubfe %0,%3,%2"		\
		   : "=r" (sh), "=&r" (sl)				\
		   : "r"  ((UDItype)(ah)), "r" ((UDItype)(bh)),		\
		     "rI" ((UDItype)(al)), "r" ((UDItype)(bl))		\
		     __CLOBBER_CC);					\
    }									\
  } while (0)
#endif /* ! _LONG_LONG_LIMB */
#define count_leading_zeros(count, x) \
  __asm__ ("cntlzd %0,%1" : "=r" (count) : "r" (x))
#define COUNT_LEADING_ZEROS_0 64
#if __GMP_GNUC_PREREQ (4,8)
#define umul_ppmm(w1, w0, u, v) \
  do {									\
    typedef unsigned int __ll_UTItype __attribute__((mode(TI)));	\
    __ll_UTItype __ll = (__ll_UTItype)(u) * (v);			\
    w1 = __ll >> 64;							\
    w0 = __ll;								\
  } while (0)
#endif
#if !defined (umul_ppmm)
#define umul_ppmm(ph, pl, m0, m1) \
  do {									\
    UDItype __m0 = (m0), __m1 = (m1);					\
    __asm__ ("mulhdu %0,%1,%2" : "=r" (ph) : "%r" (__m0), "r" (__m1));	\
    (pl) = __m0 * __m1;							\
  } while (0)
#endif
#define smul_ppmm(ph, pl, m0, m1) \
  do {									\
    DItype __m0 = (m0), __m1 = (m1);					\
    __asm__ ("mulhd %0,%1,%2" : "=r" (ph) : "%r" (__m0), "r" (__m1));	\
    (pl) = __m0 * __m1;							\
  } while (0)
#endif /* 64-bit PowerPC.  */

#if defined (__pyr__) && W_TYPE_SIZE == 32
#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
  __asm__ ("addw %5,%1\n\taddwc %3,%0"					\
	   : "=r" (sh), "=&r" (sl)					\
	   : "0"  ((USItype)(ah)), "g" ((USItype)(bh)),			\
	     "%1" ((USItype)(al)), "g" ((USItype)(bl)))
#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
  __asm__ ("subw %5,%1\n\tsubwb %3,%0"					\
	   : "=r" (sh), "=&r" (sl)					\
	   : "0" ((USItype)(ah)), "g" ((USItype)(bh)),			\
	     "1" ((USItype)(al)), "g" ((USItype)(bl)))
/* This insn works on Pyramids with AP, XP, or MI CPUs, but not with SP.  */
#define umul_ppmm(w1, w0, u, v) \
  ({union {UDItype __ll;						\
	   struct {USItype __h, __l;} __i;				\
	  } __x;							\
  __asm__ ("movw %1,%R0\n\tuemul %2,%0"					\
	   : "=&r" (__x.__ll)						\
	   : "g" ((USItype) (u)), "g" ((USItype)(v)));			\
  (w1) = __x.__i.__h; (w0) = __x.__i.__l;})
#endif /* __pyr__ */

#if defined (__ibm032__) /* RT/ROMP */  && W_TYPE_SIZE == 32
#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
  __asm__ ("a %1,%5\n\tae %0,%3"					\
	   : "=r" (sh), "=&r" (sl)					\
	   : "0"  ((USItype)(ah)), "r" ((USItype)(bh)),			\
	     "%1" ((USItype)(al)), "r" ((USItype)(bl)))
#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
  __asm__ ("s %1,%5\n\tse %0,%3"					\
	   : "=r" (sh), "=&r" (sl)					\
	   : "0" ((USItype)(ah)), "r" ((USItype)(bh)),			\
	     "1" ((USItype)(al)), "r" ((USItype)(bl)))
#define smul_ppmm(ph, pl, m0, m1) \
  __asm__ (								\
       "s	r2,r2\n"						\
"	mts r10,%2\n"							\
"	m	r2,%3\n"						\
"	m	r2,%3\n"						\
"	m	r2,%3\n"						\
"	m	r2,%3\n"						\
"	m	r2,%3\n"						\
"	m	r2,%3\n"						\
"	m	r2,%3\n"						\
"	m	r2,%3\n"						\
"	m	r2,%3\n"						\
"	m	r2,%3\n"						\
"	m	r2,%3\n"						\
"	m	r2,%3\n"						\
"	m	r2,%3\n"						\
"	m	r2,%3\n"						\
"	m	r2,%3\n"						\
"	m	r2,%3\n"						\
"	cas	%0,r2,r0\n"						\
"	mfs	r10,%1"							\
	   : "=r" (ph), "=r" (pl)					\
	   : "%r" ((USItype)(m0)), "r" ((USItype)(m1))			\
	   : "r2")
#define count_leading_zeros(count, x) \
  do {									\
    if ((x) >= 0x10000)							\
      __asm__ ("clz	%0,%1"						\
	       : "=r" (count) : "r" ((USItype)(x) >> 16));		\
    else								\
      {									\
	__asm__ ("clz	%0,%1"						\
		 : "=r" (count) : "r" ((USItype)(x)));			\
	(count) += 16;							\
      }									\
  } while (0)
#endif /* RT/ROMP */

#if defined (__riscv64) && W_TYPE_SIZE == 64
#define umul_ppmm(ph, pl, u, v) \
  do {									\
    UDItype __u = (u), __v = (v);					\
    (pl) = __u * __v;							\
    __asm__ ("mulhu\t%2, %1, %0" : "=r" (ph) : "%r" (__u), "r" (__v));	\
  } while (0)
#endif

#if (defined (__SH2__) || defined (__SH3__) || defined (__SH4__)) && W_TYPE_SIZE == 32
#define umul_ppmm(w1, w0, u, v) \
  __asm__ ("dmulu.l %2,%3\n\tsts macl,%1\n\tsts mach,%0"		\
	   : "=r" (w1), "=r" (w0) : "r" (u), "r" (v) : "macl", "mach")
#endif

#if defined (__sparc__) && W_TYPE_SIZE == 32
#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
  __asm__ ("addcc %r4,%5,%1\n\taddx %r2,%3,%0"				\
	   : "=r" (sh), "=&r" (sl)					\
	   : "rJ" (ah), "rI" (bh),"%rJ" (al), "rI" (bl)			\
	   __CLOBBER_CC)
#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
  __asm__ ("subcc %r4,%5,%1\n\tsubx %r2,%3,%0"				\
	   : "=r" (sh), "=&r" (sl)					\
	   : "rJ" (ah), "rI" (bh), "rJ" (al), "rI" (bl)	\
	   __CLOBBER_CC)
/* FIXME: When gcc -mcpu=v9 is used on solaris, gcc/config/sol2-sld-64.h
   doesn't define anything to indicate that to us, it only sets __sparcv8. */
#if defined (__sparc_v9__) || defined (__sparcv9)
/* Perhaps we should use floating-point operations here?  */
#if 0
/* Triggers a bug making mpz/tests/t-gcd.c fail.
   Perhaps we simply need explicitly zero-extend the inputs?  */
#define umul_ppmm(w1, w0, u, v) \
  __asm__ ("mulx %2,%3,%%g1; srl %%g1,0,%1; srlx %%g1,32,%0" :		\
	   "=r" (w1), "=r" (w0) : "r" (u), "r" (v) : "g1")
#else
/* Use v8 umul until above bug is fixed.  */
#define umul_ppmm(w1, w0, u, v) \
  __asm__ ("umul %2,%3,%1;rd %%y,%0" : "=r" (w1), "=r" (w0) : "r" (u), "r" (v))
#endif
/* Use a plain v8 divide for v9.  */
#define udiv_qrnnd(q, r, n1, n0, d) \
  do {									\
    USItype __q;							\
    __asm__ ("mov %1,%%y;nop;nop;nop;udiv %2,%3,%0"			\
	     : "=r" (__q) : "r" (n1), "r" (n0), "r" (d));		\
    (r) = (n0) - __q * (d);						\
    (q) = __q;								\
  } while (0)
#else
#if defined (__sparc_v8__)   /* gcc normal */				\
  || defined (__sparcv8)     /* gcc solaris */				\
  || HAVE_HOST_CPU_supersparc
/* Don't match immediate range because, 1) it is not often useful,
   2) the 'I' flag thinks of the range as a 13 bit signed interval,
   while we want to match a 13 bit interval, sign extended to 32 bits,
   but INTERPRETED AS UNSIGNED.  */
#define umul_ppmm(w1, w0, u, v) \
  __asm__ ("umul %2,%3,%1;rd %%y,%0" : "=r" (w1), "=r" (w0) : "r" (u), "r" (v))

#if HAVE_HOST_CPU_supersparc
#else
/* Don't use this on SuperSPARC because its udiv only handles 53 bit
   dividends and will trap to the kernel for the rest. */
#define udiv_qrnnd(q, r, n1, n0, d) \
  do {									\
    USItype __q;							\
    __asm__ ("mov %1,%%y;nop;nop;nop;udiv %2,%3,%0"			\
	     : "=r" (__q) : "r" (n1), "r" (n0), "r" (d));		\
    (r) = (n0) - __q * (d);						\
    (q) = __q;								\
  } while (0)
#endif /* HAVE_HOST_CPU_supersparc */

#else /* ! __sparc_v8__ */
#if defined (__sparclite__)
/* This has hardware multiply but not divide.  It also has two additional
   instructions scan (ffs from high bit) and divscc.  */
#define umul_ppmm(w1, w0, u, v) \
  __asm__ ("umul %2,%3,%1;rd %%y,%0" : "=r" (w1), "=r" (w0) : "r" (u), "r" (v))
#define udiv_qrnnd(q, r, n1, n0, d) \
  __asm__ ("! Inlined udiv_qrnnd\n"					\
"	wr	%%g0,%2,%%y	! Not a delayed write for sparclite\n"	\
"	tst	%%g0\n"							\
"	divscc	%3,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%%g1\n"						\
"	divscc	%%g1,%4,%0\n"						\
"	rd	%%y,%1\n"						\
"	bl,a 1f\n"							\
"	add	%1,%4,%1\n"						\
"1:	! End of inline udiv_qrnnd"					\
	   : "=r" (q), "=r" (r) : "r" (n1), "r" (n0), "rI" (d)		\
	   : "%g1" __AND_CLOBBER_CC)
#define count_leading_zeros(count, x) \
  __asm__ ("scan %1,1,%0" : "=r" (count) : "r" (x))
/* Early sparclites return 63 for an argument of 0, but they warn that future
   implementations might change this.  Therefore, leave COUNT_LEADING_ZEROS_0
   undefined.  */
#endif /* __sparclite__ */
#endif /* __sparc_v8__ */
#endif /* __sparc_v9__ */
/* Default to sparc v7 versions of umul_ppmm and udiv_qrnnd.  */
#ifndef umul_ppmm
#define umul_ppmm(w1, w0, u, v) \
  __asm__ ("! Inlined umul_ppmm\n"					\
"	wr	%%g0,%2,%%y	! SPARC has 0-3 delay insn after a wr\n" \
"	sra	%3,31,%%g2	! Don't move this insn\n"		\
"	and	%2,%%g2,%%g2	! Don't move this insn\n"		\
"	andcc	%%g0,0,%%g1	! Don't move this insn\n"		\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,%3,%%g1\n"						\
"	mulscc	%%g1,0,%%g1\n"						\
"	add	%%g1,%%g2,%0\n"						\
"	rd	%%y,%1"							\
	   : "=r" (w1), "=r" (w0) : "%rI" (u), "r" (v)			\
	   : "%g1", "%g2" __AND_CLOBBER_CC)
#endif
#ifndef udiv_qrnnd
#ifndef LONGLONG_STANDALONE
#define udiv_qrnnd(q, r, n1, n0, d) \
  do { UWtype __r;							\
    (q) = __MPN(udiv_qrnnd) (&__r, (n1), (n0), (d));			\
    (r) = __r;								\
  } while (0)
extern UWtype __MPN(udiv_qrnnd) (UWtype *, UWtype, UWtype, UWtype);
#endif /* LONGLONG_STANDALONE */
#endif /* udiv_qrnnd */
#endif /* __sparc__ */

#if defined (__sparc__) && W_TYPE_SIZE == 64
#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
  __asm__ (								\
       "addcc	%r4,%5,%1\n"						\
      "	addccc	%r6,%7,%%g0\n"						\
      "	addc	%r2,%3,%0"						\
       : "=r" (sh), "=&r" (sl)						\
       : "rJ"  ((UDItype)(ah)), "rI" ((UDItype)(bh)),			\
	 "%rJ" ((UDItype)(al)), "rI" ((UDItype)(bl)),			\
	 "%rJ" ((UDItype)(al) >> 32), "rI" ((UDItype)(bl) >> 32)	\
	   __CLOBBER_CC)
#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
  __asm__ (								\
       "subcc	%r4,%5,%1\n"						\
      "	subccc	%r6,%7,%%g0\n"						\
      "	subc	%r2,%3,%0"						\
       : "=r" (sh), "=&r" (sl)						\
       : "rJ" ((UDItype)(ah)), "rI" ((UDItype)(bh)),			\
	 "rJ" ((UDItype)(al)), "rI" ((UDItype)(bl)),			\
	 "rJ" ((UDItype)(al) >> 32), "rI" ((UDItype)(bl) >> 32)		\
	   __CLOBBER_CC)
#if __VIS__ >= 0x300
#undef add_ssaaaa
#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
  __asm__ (								\
       "addcc	%r4, %5, %1\n"						\
      "	addxc	%r2, %r3, %0"						\
	  : "=r" (sh), "=&r" (sl)					\
       : "rJ"  ((UDItype)(ah)), "rJ" ((UDItype)(bh)),			\
	 "%rJ" ((UDItype)(al)), "rI" ((UDItype)(bl)) __CLOBBER_CC)
#define umul_ppmm(ph, pl, m0, m1) \
  do {									\
    UDItype __m0 = (m0), __m1 = (m1);					\
    (pl) = __m0 * __m1;							\
    __asm__ ("umulxhi\t%2, %1, %0"					\
	     : "=r" (ph)						\
	     : "%r" (__m0), "r" (__m1));				\
  } while (0)
#define count_leading_zeros(count, x) \
  __asm__ ("lzd\t%1,%0" : "=r" (count) : "r" (x))
/* Needed by count_leading_zeros_32 in sparc64.h.  */
#define COUNT_LEADING_ZEROS_NEED_CLZ_TAB
#endif
#endif

#if (defined (__vax) || defined (__vax__)) && W_TYPE_SIZE == 32
#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
  __asm__ ("addl2 %5,%1\n\tadwc %3,%0"					\
	   : "=g" (sh), "=&g" (sl)					\
	   : "0"  ((USItype)(ah)), "g" ((USItype)(bh)),			\
	     "%1" ((USItype)(al)), "g" ((USItype)(bl)))
#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
  __asm__ ("subl2 %5,%1\n\tsbwc %3,%0"					\
	   : "=g" (sh), "=&g" (sl)					\
	   : "0" ((USItype)(ah)), "g" ((USItype)(bh)),			\
	     "1" ((USItype)(al)), "g" ((USItype)(bl)))
#define smul_ppmm(xh, xl, m0, m1) \
  do {									\
    union {UDItype __ll;						\
	   struct {USItype __l, __h;} __i;				\
	  } __x;							\
    USItype __m0 = (m0), __m1 = (m1);					\
    __asm__ ("emul %1,%2,$0,%0"						\
	     : "=g" (__x.__ll) : "g" (__m0), "g" (__m1));		\
    (xh) = __x.__i.__h; (xl) = __x.__i.__l;				\
  } while (0)
#define sdiv_qrnnd(q, r, n1, n0, d) \
  do {									\
    union {DItype __ll;							\
	   struct {SItype __l, __h;} __i;				\
	  } __x;							\
    __x.__i.__h = n1; __x.__i.__l = n0;					\
    __asm__ ("ediv %3,%2,%0,%1"						\
	     : "=g" (q), "=g" (r) : "g" (__x.__ll), "g" (d));		\
  } while (0)
#if 0
/* FIXME: This instruction appears to be unimplemented on some systems (vax
   8800 maybe). */
#define count_trailing_zeros(count,x)					\
  do {									\
    __asm__ ("ffs 0, 31, %1, %0"					\
	     : "=g" (count)						\
	     : "g" ((USItype) (x)));					\
  } while (0)
#endif
#endif /* vax */

#if defined (__z8000__) && W_TYPE_SIZE == 16
#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
  __asm__ ("add	%H1,%H5\n\tadc	%H0,%H3"				\
	   : "=r" (sh), "=&r" (sl)					\
	   : "0"  ((unsigned int)(ah)), "r" ((unsigned int)(bh)),	\
	     "%1" ((unsigned int)(al)), "rQR" ((unsigned int)(bl)))
#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
  __asm__ ("sub	%H1,%H5\n\tsbc	%H0,%H3"				\
	   : "=r" (sh), "=&r" (sl)					\
	   : "0" ((unsigned int)(ah)), "r" ((unsigned int)(bh)),	\
	     "1" ((unsigned int)(al)), "rQR" ((unsigned int)(bl)))
#define umul_ppmm(xh, xl, m0, m1) \
  do {									\
    union {long int __ll;						\
	   struct {unsigned int __h, __l;} __i;				\
	  } __x;							\
    unsigned int __m0 = (m0), __m1 = (m1);				\
    __asm__ ("mult	%S0,%H3"					\
	     : "=r" (__x.__i.__h), "=r" (__x.__i.__l)			\
	     : "%1" (m0), "rQR" (m1));					\
    (xh) = __x.__i.__h; (xl) = __x.__i.__l;				\
    (xh) += ((((signed int) __m0 >> 15) & __m1)				\
	     + (((signed int) __m1 >> 15) & __m0));			\
  } while (0)
#endif /* __z8000__ */

#endif /* __GNUC__ */

#endif /* NO_ASM */


/* FIXME: "sidi" here is highly doubtful, should sometimes be "diti".  */
#if !defined (umul_ppmm) && defined (__umulsidi3)
#define umul_ppmm(ph, pl, m0, m1) \
  do {									\
    UDWtype __ll = __umulsidi3 (m0, m1);				\
    ph = (UWtype) (__ll >> W_TYPE_SIZE);				\
    pl = (UWtype) __ll;							\
  } while (0)
#endif

#if !defined (__umulsidi3)
#define __umulsidi3(u, v) \
  ({UWtype __hi, __lo;							\
    umul_ppmm (__hi, __lo, u, v);					\
    ((UDWtype) __hi << W_TYPE_SIZE) | __lo; })
#endif


#if defined (__cplusplus)
#define __longlong_h_C "C"
#else
#define __longlong_h_C
#endif

/* Use mpn_umul_ppmm or mpn_udiv_qrnnd functions, if they exist.  The "_r"
   forms have "reversed" arguments, meaning the pointer is last, which
   sometimes allows better parameter passing, in particular on 64-bit
   hppa. */

#define mpn_umul_ppmm  __MPN(umul_ppmm)
extern __longlong_h_C UWtype mpn_umul_ppmm (UWtype *, UWtype, UWtype);

#if ! defined (umul_ppmm) && HAVE_NATIVE_mpn_umul_ppmm  \
  && ! defined (LONGLONG_STANDALONE)
#define umul_ppmm(wh, wl, u, v)						\
  do {									\
    UWtype __umul_ppmm__p0;						\
    (wh) = mpn_umul_ppmm (&__umul_ppmm__p0, (UWtype) (u), (UWtype) (v));\
    (wl) = __umul_ppmm__p0;						\
  } while (0)
#endif

#define mpn_umul_ppmm_r  __MPN(umul_ppmm_r)
extern __longlong_h_C UWtype mpn_umul_ppmm_r (UWtype, UWtype, UWtype *);

#if ! defined (umul_ppmm) && HAVE_NATIVE_mpn_umul_ppmm_r	\
  && ! defined (LONGLONG_STANDALONE)
#define umul_ppmm(wh, wl, u, v)						\
  do {									\
    UWtype __umul_p0;							\
    (wh) = mpn_umul_ppmm_r ((UWtype) (u), (UWtype) (v), &__umul_p0);	\
    (wl) = __umul_p0;							\
  } while (0)
#endif

#define mpn_udiv_qrnnd  __MPN(udiv_qrnnd)
extern __longlong_h_C UWtype mpn_udiv_qrnnd (UWtype *, UWtype, UWtype, UWtype);

#if ! defined (udiv_qrnnd) && HAVE_NATIVE_mpn_udiv_qrnnd	\
  && ! defined (LONGLONG_STANDALONE)
#define udiv_qrnnd(q, r, n1, n0, d)					\
  do {									\
    UWtype __udiv_qrnnd_r;						\
    (q) = mpn_udiv_qrnnd (&__udiv_qrnnd_r,				\
			  (UWtype) (n1), (UWtype) (n0), (UWtype) d);	\
    (r) = __udiv_qrnnd_r;						\
  } while (0)
#endif

#define mpn_udiv_qrnnd_r  __MPN(udiv_qrnnd_r)
extern __longlong_h_C UWtype mpn_udiv_qrnnd_r (UWtype, UWtype, UWtype, UWtype *);

#if ! defined (udiv_qrnnd) && HAVE_NATIVE_mpn_udiv_qrnnd_r	\
  && ! defined (LONGLONG_STANDALONE)
#define udiv_qrnnd(q, r, n1, n0, d)					\
  do {									\
    UWtype __udiv_qrnnd_r;						\
    (q) = mpn_udiv_qrnnd_r ((UWtype) (n1), (UWtype) (n0), (UWtype) d,	\
			    &__udiv_qrnnd_r);				\
    (r) = __udiv_qrnnd_r;						\
  } while (0)
#endif


/* If this machine has no inline assembler, use C macros.  */

#if !defined (add_ssaaaa)
#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
  do {									\
    UWtype __x;								\
    UWtype __al = (al);							\
    UWtype __bl = (bl);							\
    __x = __al + __bl;							\
    (sh) = (ah) + (bh) + (__x < __al);					\
    (sl) = __x;								\
  } while (0)
#endif

#if !defined (sub_ddmmss)
#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
  do {									\
    UWtype __x;								\
    UWtype __al = (al);							\
    UWtype __bl = (bl);							\
    __x = __al - __bl;							\
    (sh) = (ah) - (bh) - (__al < __bl);					\
    (sl) = __x;								\
  } while (0)
#endif

/* If we lack umul_ppmm but have smul_ppmm, define umul_ppmm in terms of
   smul_ppmm.  */
#if !defined (umul_ppmm) && defined (smul_ppmm)
#define umul_ppmm(w1, w0, u, v)						\
  do {									\
    UWtype __w1;							\
    UWtype __xm0 = (u), __xm1 = (v);					\
    smul_ppmm (__w1, w0, __xm0, __xm1);					\
    (w1) = __w1 + (-(__xm0 >> (W_TYPE_SIZE - 1)) & __xm1)		\
		+ (-(__xm1 >> (W_TYPE_SIZE - 1)) & __xm0);		\
  } while (0)
#endif

/* If we still don't have umul_ppmm, define it using plain C.

   For reference, when this code is used for squaring (ie. u and v identical
   expressions), gcc recognises __x1 and __x2 are the same and generates 3
   multiplies, not 4.  The subsequent additions could be optimized a bit,
   but the only place GMP currently uses such a square is mpn_sqr_basecase,
   and chips obliged to use this generic C umul will have plenty of worse
   performance problems than a couple of extra instructions on the diagonal
   of sqr_basecase.  */

#if !defined (umul_ppmm)
#define umul_ppmm(w1, w0, u, v)						\
  do {									\
    UWtype __x0, __x1, __x2, __x3;					\
    UHWtype __ul, __vl, __uh, __vh;					\
    UWtype __u = (u), __v = (v);					\
									\
    __ul = __ll_lowpart (__u);						\
    __uh = __ll_highpart (__u);						\
    __vl = __ll_lowpart (__v);						\
    __vh = __ll_highpart (__v);						\
									\
    __x0 = (UWtype) __ul * __vl;					\
    __x1 = (UWtype) __ul * __vh;					\
    __x2 = (UWtype) __uh * __vl;					\
    __x3 = (UWtype) __uh * __vh;					\
									\
    __x1 += __ll_highpart (__x0);/* this can't give carry */		\
    __x1 += __x2;		/* but this indeed can */		\
    if (__x1 < __x2)		/* did we get it? */			\
      __x3 += __ll_B;		/* yes, add it in the proper pos. */	\
									\
    (w1) = __x3 + __ll_highpart (__x1);					\
    (w0) = (__x1 << W_TYPE_SIZE/2) + __ll_lowpart (__x0);		\
  } while (0)
#endif

/* If we don't have smul_ppmm, define it using umul_ppmm (which surely will
   exist in one form or another.  */
#if !defined (smul_ppmm)
#define smul_ppmm(w1, w0, u, v)						\
  do {									\
    UWtype __w1;							\
    UWtype __xm0 = (u), __xm1 = (v);					\
    umul_ppmm (__w1, w0, __xm0, __xm1);					\
    (w1) = __w1 - (-(__xm0 >> (W_TYPE_SIZE - 1)) & __xm1)		\
		- (-(__xm1 >> (W_TYPE_SIZE - 1)) & __xm0);		\
  } while (0)
#endif

/* Define this unconditionally, so it can be used for debugging.  */
#define __udiv_qrnnd_c(q, r, n1, n0, d) \
  do {									\
    UWtype __d1, __d0, __q1, __q0, __r1, __r0, __m;			\
									\
    ASSERT ((d) != 0);							\
    ASSERT ((n1) < (d));						\
									\
    __d1 = __ll_highpart (d);						\
    __d0 = __ll_lowpart (d);						\
									\
    __q1 = (n1) / __d1;							\
    __r1 = (n1) - __q1 * __d1;						\
    __m = __q1 * __d0;							\
    __r1 = __r1 * __ll_B | __ll_highpart (n0);				\
    if (__r1 < __m)							\
      {									\
	__q1--, __r1 += (d);						\
	if (__r1 >= (d)) /* i.e. we didn't get carry when adding to __r1 */\
	  if (__r1 < __m)						\
	    __q1--, __r1 += (d);					\
      }									\
    __r1 -= __m;							\
									\
    __q0 = __r1 / __d1;							\
    __r0 = __r1  - __q0 * __d1;						\
    __m = __q0 * __d0;							\
    __r0 = __r0 * __ll_B | __ll_lowpart (n0);				\
    if (__r0 < __m)							\
      {									\
	__q0--, __r0 += (d);						\
	if (__r0 >= (d))						\
	  if (__r0 < __m)						\
	    __q0--, __r0 += (d);					\
      }									\
    __r0 -= __m;							\
									\
    (q) = __q1 * __ll_B | __q0;						\
    (r) = __r0;								\
  } while (0)

/* If the processor has no udiv_qrnnd but sdiv_qrnnd, go through
   __udiv_w_sdiv (defined in libgcc or elsewhere).  */
#if !defined (udiv_qrnnd) && defined (sdiv_qrnnd) \
  && ! defined (LONGLONG_STANDALONE)
#define udiv_qrnnd(q, r, nh, nl, d) \
  do {									\
    UWtype __r;								\
    (q) = __MPN(udiv_w_sdiv) (&__r, nh, nl, d);				\
    (r) = __r;								\
  } while (0)
__GMP_DECLSPEC UWtype __MPN(udiv_w_sdiv) (UWtype *, UWtype, UWtype, UWtype);
#endif

/* If udiv_qrnnd was not defined for this processor, use __udiv_qrnnd_c.  */
#if !defined (udiv_qrnnd)
#define UDIV_NEEDS_NORMALIZATION 1
#define udiv_qrnnd __udiv_qrnnd_c
#endif

#if !defined (count_leading_zeros)
#define count_leading_zeros(count, x) \
  do {									\
    UWtype __xr = (x);							\
    UWtype __a;								\
									\
    if (W_TYPE_SIZE == 32)						\
      {									\
	__a = __xr < ((UWtype) 1 << 2*__BITS4)				\
	  ? (__xr < ((UWtype) 1 << __BITS4) ? 1 : __BITS4 + 1)		\
	  : (__xr < ((UWtype) 1 << 3*__BITS4) ? 2*__BITS4 + 1		\
	  : 3*__BITS4 + 1);						\
      }									\
    else								\
      {									\
	for (__a = W_TYPE_SIZE - 8; __a > 0; __a -= 8)			\
	  if (((__xr >> __a) & 0xff) != 0)				\
	    break;							\
	++__a;								\
      }									\
									\
    (count) = W_TYPE_SIZE + 1 - __a - __clz_tab[__xr >> __a];		\
  } while (0)
/* This version gives a well-defined value for zero. */
#define COUNT_LEADING_ZEROS_0 (W_TYPE_SIZE - 1)
#define COUNT_LEADING_ZEROS_NEED_CLZ_TAB
#define COUNT_LEADING_ZEROS_SLOW
#endif

/* clz_tab needed by mpn/x86/pentium/mod_1.asm in a fat binary */
#if HAVE_HOST_CPU_FAMILY_x86 && WANT_FAT_BINARY
#define COUNT_LEADING_ZEROS_NEED_CLZ_TAB
#endif

#ifdef COUNT_LEADING_ZEROS_NEED_CLZ_TAB
extern const unsigned char __GMP_DECLSPEC __clz_tab[129];
#endif

#if !defined (count_trailing_zeros)
#if !defined (COUNT_LEADING_ZEROS_SLOW)
/* Define count_trailing_zeros using an asm count_leading_zeros.  */
#define count_trailing_zeros(count, x)					\
  do {									\
    UWtype __ctz_x = (x);						\
    UWtype __ctz_c;							\
    ASSERT (__ctz_x != 0);						\
    count_leading_zeros (__ctz_c, __ctz_x & -__ctz_x);			\
    (count) = W_TYPE_SIZE - 1 - __ctz_c;				\
  } while (0)
#else
/* Define count_trailing_zeros in plain C, assuming small counts are common.
   We use clz_tab without ado, since the C count_leading_zeros above will have
   pulled it in.  */
#define count_trailing_zeros(count, x)					\
  do {									\
    UWtype __ctz_x = (x);						\
    int __ctz_c;							\
									\
    if (LIKELY ((__ctz_x & 0xff) != 0))					\
      (count) = __clz_tab[__ctz_x & -__ctz_x] - 2;			\
    else								\
      {									\
	for (__ctz_c = 8 - 2; __ctz_c < W_TYPE_SIZE - 2; __ctz_c += 8)	\
	  {								\
	    __ctz_x >>= 8;						\
	    if (LIKELY ((__ctz_x & 0xff) != 0))				\
	      break;							\
	  }								\
									\
	(count) = __ctz_c + __clz_tab[__ctz_x & -__ctz_x];		\
      }									\
  } while (0)
#endif
#endif

#ifndef UDIV_NEEDS_NORMALIZATION
#define UDIV_NEEDS_NORMALIZATION 0
#endif

/* Whether udiv_qrnnd is actually implemented with udiv_qrnnd_preinv, and
   that hence the latter should always be used.  */
#ifndef UDIV_PREINV_ALWAYS
#define UDIV_PREINV_ALWAYS 0
#endif