This file is indexed.

/usr/share/acl2-8.0dfsg/basis-a.lisp is in acl2-source 8.0dfsg-1.

This file is owned by root:root, with mode 0o644.

The actual contents of the file can be viewed below.

   1
   2
   3
   4
   5
   6
   7
   8
   9
  10
  11
  12
  13
  14
  15
  16
  17
  18
  19
  20
  21
  22
  23
  24
  25
  26
  27
  28
  29
  30
  31
  32
  33
  34
  35
  36
  37
  38
  39
  40
  41
  42
  43
  44
  45
  46
  47
  48
  49
  50
  51
  52
  53
  54
  55
  56
  57
  58
  59
  60
  61
  62
  63
  64
  65
  66
  67
  68
  69
  70
  71
  72
  73
  74
  75
  76
  77
  78
  79
  80
  81
  82
  83
  84
  85
  86
  87
  88
  89
  90
  91
  92
  93
  94
  95
  96
  97
  98
  99
 100
 101
 102
 103
 104
 105
 106
 107
 108
 109
 110
 111
 112
 113
 114
 115
 116
 117
 118
 119
 120
 121
 122
 123
 124
 125
 126
 127
 128
 129
 130
 131
 132
 133
 134
 135
 136
 137
 138
 139
 140
 141
 142
 143
 144
 145
 146
 147
 148
 149
 150
 151
 152
 153
 154
 155
 156
 157
 158
 159
 160
 161
 162
 163
 164
 165
 166
 167
 168
 169
 170
 171
 172
 173
 174
 175
 176
 177
 178
 179
 180
 181
 182
 183
 184
 185
 186
 187
 188
 189
 190
 191
 192
 193
 194
 195
 196
 197
 198
 199
 200
 201
 202
 203
 204
 205
 206
 207
 208
 209
 210
 211
 212
 213
 214
 215
 216
 217
 218
 219
 220
 221
 222
 223
 224
 225
 226
 227
 228
 229
 230
 231
 232
 233
 234
 235
 236
 237
 238
 239
 240
 241
 242
 243
 244
 245
 246
 247
 248
 249
 250
 251
 252
 253
 254
 255
 256
 257
 258
 259
 260
 261
 262
 263
 264
 265
 266
 267
 268
 269
 270
 271
 272
 273
 274
 275
 276
 277
 278
 279
 280
 281
 282
 283
 284
 285
 286
 287
 288
 289
 290
 291
 292
 293
 294
 295
 296
 297
 298
 299
 300
 301
 302
 303
 304
 305
 306
 307
 308
 309
 310
 311
 312
 313
 314
 315
 316
 317
 318
 319
 320
 321
 322
 323
 324
 325
 326
 327
 328
 329
 330
 331
 332
 333
 334
 335
 336
 337
 338
 339
 340
 341
 342
 343
 344
 345
 346
 347
 348
 349
 350
 351
 352
 353
 354
 355
 356
 357
 358
 359
 360
 361
 362
 363
 364
 365
 366
 367
 368
 369
 370
 371
 372
 373
 374
 375
 376
 377
 378
 379
 380
 381
 382
 383
 384
 385
 386
 387
 388
 389
 390
 391
 392
 393
 394
 395
 396
 397
 398
 399
 400
 401
 402
 403
 404
 405
 406
 407
 408
 409
 410
 411
 412
 413
 414
 415
 416
 417
 418
 419
 420
 421
 422
 423
 424
 425
 426
 427
 428
 429
 430
 431
 432
 433
 434
 435
 436
 437
 438
 439
 440
 441
 442
 443
 444
 445
 446
 447
 448
 449
 450
 451
 452
 453
 454
 455
 456
 457
 458
 459
 460
 461
 462
 463
 464
 465
 466
 467
 468
 469
 470
 471
 472
 473
 474
 475
 476
 477
 478
 479
 480
 481
 482
 483
 484
 485
 486
 487
 488
 489
 490
 491
 492
 493
 494
 495
 496
 497
 498
 499
 500
 501
 502
 503
 504
 505
 506
 507
 508
 509
 510
 511
 512
 513
 514
 515
 516
 517
 518
 519
 520
 521
 522
 523
 524
 525
 526
 527
 528
 529
 530
 531
 532
 533
 534
 535
 536
 537
 538
 539
 540
 541
 542
 543
 544
 545
 546
 547
 548
 549
 550
 551
 552
 553
 554
 555
 556
 557
 558
 559
 560
 561
 562
 563
 564
 565
 566
 567
 568
 569
 570
 571
 572
 573
 574
 575
 576
 577
 578
 579
 580
 581
 582
 583
 584
 585
 586
 587
 588
 589
 590
 591
 592
 593
 594
 595
 596
 597
 598
 599
 600
 601
 602
 603
 604
 605
 606
 607
 608
 609
 610
 611
 612
 613
 614
 615
 616
 617
 618
 619
 620
 621
 622
 623
 624
 625
 626
 627
 628
 629
 630
 631
 632
 633
 634
 635
 636
 637
 638
 639
 640
 641
 642
 643
 644
 645
 646
 647
 648
 649
 650
 651
 652
 653
 654
 655
 656
 657
 658
 659
 660
 661
 662
 663
 664
 665
 666
 667
 668
 669
 670
 671
 672
 673
 674
 675
 676
 677
 678
 679
 680
 681
 682
 683
 684
 685
 686
 687
 688
 689
 690
 691
 692
 693
 694
 695
 696
 697
 698
 699
 700
 701
 702
 703
 704
 705
 706
 707
 708
 709
 710
 711
 712
 713
 714
 715
 716
 717
 718
 719
 720
 721
 722
 723
 724
 725
 726
 727
 728
 729
 730
 731
 732
 733
 734
 735
 736
 737
 738
 739
 740
 741
 742
 743
 744
 745
 746
 747
 748
 749
 750
 751
 752
 753
 754
 755
 756
 757
 758
 759
 760
 761
 762
 763
 764
 765
 766
 767
 768
 769
 770
 771
 772
 773
 774
 775
 776
 777
 778
 779
 780
 781
 782
 783
 784
 785
 786
 787
 788
 789
 790
 791
 792
 793
 794
 795
 796
 797
 798
 799
 800
 801
 802
 803
 804
 805
 806
 807
 808
 809
 810
 811
 812
 813
 814
 815
 816
 817
 818
 819
 820
 821
 822
 823
 824
 825
 826
 827
 828
 829
 830
 831
 832
 833
 834
 835
 836
 837
 838
 839
 840
 841
 842
 843
 844
 845
 846
 847
 848
 849
 850
 851
 852
 853
 854
 855
 856
 857
 858
 859
 860
 861
 862
 863
 864
 865
 866
 867
 868
 869
 870
 871
 872
 873
 874
 875
 876
 877
 878
 879
 880
 881
 882
 883
 884
 885
 886
 887
 888
 889
 890
 891
 892
 893
 894
 895
 896
 897
 898
 899
 900
 901
 902
 903
 904
 905
 906
 907
 908
 909
 910
 911
 912
 913
 914
 915
 916
 917
 918
 919
 920
 921
 922
 923
 924
 925
 926
 927
 928
 929
 930
 931
 932
 933
 934
 935
 936
 937
 938
 939
 940
 941
 942
 943
 944
 945
 946
 947
 948
 949
 950
 951
 952
 953
 954
 955
 956
 957
 958
 959
 960
 961
 962
 963
 964
 965
 966
 967
 968
 969
 970
 971
 972
 973
 974
 975
 976
 977
 978
 979
 980
 981
 982
 983
 984
 985
 986
 987
 988
 989
 990
 991
 992
 993
 994
 995
 996
 997
 998
 999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
1706
1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
1729
1730
1731
1732
1733
1734
1735
1736
1737
1738
1739
1740
1741
1742
1743
1744
1745
1746
1747
1748
1749
1750
1751
1752
1753
1754
1755
1756
1757
1758
1759
1760
1761
1762
1763
1764
1765
1766
1767
1768
1769
1770
1771
1772
1773
1774
1775
1776
1777
1778
1779
1780
1781
1782
1783
1784
1785
1786
1787
1788
1789
1790
1791
1792
1793
1794
1795
1796
1797
1798
1799
1800
1801
1802
1803
1804
1805
1806
1807
1808
1809
1810
1811
1812
1813
1814
1815
1816
1817
1818
1819
1820
1821
1822
1823
1824
1825
1826
1827
1828
1829
1830
1831
1832
1833
1834
1835
1836
1837
1838
1839
1840
1841
1842
1843
1844
1845
1846
1847
1848
1849
1850
1851
1852
1853
1854
1855
1856
1857
1858
1859
1860
1861
1862
1863
1864
1865
1866
1867
1868
1869
1870
1871
1872
1873
1874
1875
1876
1877
1878
1879
1880
1881
1882
1883
1884
1885
1886
1887
1888
1889
1890
1891
1892
1893
1894
1895
1896
1897
1898
1899
1900
1901
1902
1903
1904
1905
1906
1907
1908
1909
1910
1911
1912
1913
1914
1915
1916
1917
1918
1919
1920
1921
1922
1923
1924
1925
1926
1927
1928
1929
1930
1931
1932
1933
1934
1935
1936
1937
1938
1939
1940
1941
1942
1943
1944
1945
1946
1947
1948
1949
1950
1951
1952
1953
1954
1955
1956
1957
1958
1959
1960
1961
1962
1963
1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
2041
2042
2043
2044
2045
2046
2047
2048
2049
2050
2051
2052
2053
2054
2055
2056
2057
2058
2059
2060
2061
2062
2063
2064
2065
2066
2067
2068
2069
2070
2071
2072
2073
2074
2075
2076
2077
2078
2079
2080
2081
2082
2083
2084
2085
2086
2087
2088
2089
2090
2091
2092
2093
2094
2095
2096
2097
2098
2099
2100
2101
2102
2103
2104
2105
2106
2107
2108
2109
2110
2111
2112
2113
2114
2115
2116
2117
2118
2119
2120
2121
2122
2123
2124
2125
2126
2127
2128
2129
2130
2131
2132
2133
2134
2135
2136
2137
2138
2139
2140
2141
2142
2143
2144
2145
2146
2147
2148
2149
2150
2151
2152
2153
2154
2155
2156
2157
2158
2159
2160
2161
2162
2163
2164
2165
2166
2167
2168
2169
2170
2171
2172
2173
2174
2175
2176
2177
2178
2179
2180
2181
2182
2183
2184
2185
2186
2187
2188
2189
2190
2191
2192
2193
2194
2195
2196
2197
2198
2199
2200
2201
2202
2203
2204
2205
2206
2207
2208
2209
2210
2211
2212
2213
2214
2215
2216
2217
2218
2219
2220
2221
2222
2223
2224
2225
2226
2227
2228
2229
2230
2231
2232
2233
2234
2235
2236
2237
2238
2239
2240
2241
2242
2243
2244
2245
2246
2247
2248
2249
2250
2251
2252
2253
2254
2255
2256
2257
2258
2259
2260
2261
2262
2263
2264
2265
2266
2267
2268
2269
2270
2271
2272
2273
2274
2275
2276
2277
2278
2279
2280
2281
2282
2283
2284
2285
2286
2287
2288
2289
2290
2291
2292
2293
2294
2295
2296
2297
2298
2299
2300
2301
2302
2303
2304
2305
2306
2307
2308
2309
2310
2311
2312
2313
2314
2315
2316
2317
2318
2319
2320
2321
2322
2323
2324
2325
2326
2327
2328
2329
2330
2331
2332
2333
2334
2335
2336
2337
2338
2339
2340
2341
2342
2343
2344
2345
2346
2347
2348
2349
2350
2351
2352
2353
2354
2355
2356
2357
2358
2359
2360
2361
2362
2363
2364
2365
2366
2367
2368
2369
2370
2371
2372
2373
2374
2375
2376
2377
2378
2379
2380
2381
2382
2383
2384
2385
2386
2387
2388
2389
2390
2391
2392
2393
2394
2395
2396
2397
2398
2399
2400
2401
2402
2403
2404
2405
2406
2407
2408
2409
2410
2411
2412
2413
2414
2415
2416
2417
2418
2419
2420
2421
2422
2423
2424
2425
2426
2427
2428
2429
2430
2431
2432
2433
2434
2435
2436
2437
2438
2439
2440
2441
2442
2443
2444
2445
2446
2447
2448
2449
2450
2451
2452
2453
2454
2455
2456
2457
2458
2459
2460
2461
2462
2463
2464
2465
2466
2467
2468
2469
2470
2471
2472
2473
2474
2475
2476
2477
2478
2479
2480
2481
2482
2483
2484
2485
2486
2487
2488
2489
2490
2491
2492
2493
2494
2495
2496
2497
2498
2499
2500
2501
2502
2503
2504
2505
2506
2507
2508
2509
2510
2511
2512
2513
2514
2515
2516
2517
2518
2519
2520
2521
2522
2523
2524
2525
2526
2527
2528
2529
2530
2531
2532
2533
2534
2535
2536
2537
2538
2539
2540
2541
2542
2543
2544
2545
2546
2547
2548
2549
2550
2551
2552
2553
2554
2555
2556
2557
2558
2559
2560
2561
2562
2563
2564
2565
2566
2567
2568
2569
2570
2571
2572
2573
2574
2575
2576
2577
2578
2579
2580
2581
2582
2583
2584
2585
2586
2587
2588
2589
2590
2591
2592
2593
2594
2595
2596
2597
2598
2599
2600
2601
2602
2603
2604
2605
2606
2607
2608
2609
2610
2611
2612
2613
2614
2615
2616
2617
2618
2619
2620
2621
2622
2623
2624
2625
2626
2627
2628
2629
2630
2631
2632
2633
2634
2635
2636
2637
2638
2639
2640
2641
2642
2643
2644
2645
2646
2647
2648
2649
2650
2651
2652
2653
2654
2655
2656
2657
2658
2659
2660
2661
2662
2663
2664
2665
2666
2667
2668
2669
2670
2671
2672
2673
2674
2675
2676
2677
2678
2679
2680
2681
2682
2683
2684
2685
2686
2687
2688
2689
2690
2691
2692
2693
2694
2695
2696
2697
2698
2699
2700
2701
2702
2703
2704
2705
2706
2707
2708
2709
2710
2711
2712
2713
2714
2715
2716
2717
2718
2719
2720
2721
2722
2723
2724
2725
2726
2727
2728
2729
2730
2731
2732
2733
2734
2735
2736
2737
2738
2739
2740
2741
2742
2743
2744
2745
2746
2747
2748
2749
2750
2751
2752
2753
2754
2755
2756
2757
2758
2759
2760
2761
2762
2763
2764
2765
2766
2767
2768
2769
2770
2771
2772
2773
2774
2775
2776
2777
2778
2779
2780
2781
2782
2783
2784
2785
2786
2787
2788
2789
2790
2791
2792
2793
2794
2795
2796
2797
2798
2799
2800
2801
2802
2803
2804
2805
2806
2807
2808
2809
2810
2811
2812
2813
2814
2815
2816
2817
2818
2819
2820
2821
2822
2823
2824
2825
2826
2827
2828
2829
2830
2831
2832
2833
2834
2835
2836
2837
2838
2839
2840
2841
2842
2843
2844
2845
2846
2847
2848
2849
2850
2851
2852
2853
2854
2855
2856
2857
2858
2859
2860
2861
2862
2863
2864
2865
2866
2867
2868
2869
2870
2871
2872
2873
2874
2875
2876
2877
2878
2879
2880
2881
2882
2883
2884
2885
2886
2887
2888
2889
2890
2891
2892
2893
2894
2895
2896
2897
2898
2899
2900
2901
2902
2903
2904
2905
2906
2907
2908
2909
2910
2911
2912
2913
2914
2915
2916
2917
2918
2919
2920
2921
2922
2923
2924
2925
2926
2927
2928
2929
2930
2931
2932
2933
2934
2935
2936
2937
2938
2939
2940
2941
2942
2943
2944
2945
2946
2947
2948
2949
2950
2951
2952
2953
2954
2955
2956
2957
2958
2959
2960
2961
2962
2963
2964
2965
2966
2967
2968
2969
2970
2971
2972
2973
2974
2975
2976
2977
2978
2979
2980
2981
2982
2983
2984
2985
2986
2987
2988
2989
2990
2991
2992
2993
2994
2995
2996
2997
2998
2999
3000
3001
3002
3003
3004
3005
3006
3007
3008
3009
3010
3011
3012
3013
3014
3015
3016
3017
3018
3019
3020
3021
3022
3023
3024
3025
3026
3027
3028
3029
3030
3031
3032
3033
3034
3035
3036
3037
3038
3039
3040
3041
3042
3043
3044
3045
3046
3047
3048
3049
3050
3051
3052
3053
3054
3055
3056
3057
3058
3059
3060
3061
3062
3063
3064
3065
3066
3067
3068
3069
3070
3071
3072
3073
3074
3075
3076
3077
3078
3079
3080
3081
3082
3083
3084
3085
3086
3087
3088
3089
3090
3091
3092
3093
3094
3095
3096
3097
3098
3099
3100
3101
3102
3103
3104
3105
3106
3107
3108
3109
3110
3111
3112
3113
3114
3115
3116
3117
3118
3119
3120
3121
3122
3123
3124
3125
3126
3127
3128
3129
3130
3131
3132
3133
3134
3135
3136
3137
3138
3139
3140
3141
3142
3143
3144
3145
3146
3147
3148
3149
3150
3151
3152
3153
3154
3155
3156
3157
3158
3159
3160
3161
3162
3163
3164
3165
3166
3167
3168
3169
3170
3171
3172
3173
3174
3175
3176
3177
3178
3179
3180
3181
3182
3183
3184
3185
3186
3187
3188
3189
3190
3191
3192
3193
3194
3195
3196
3197
3198
3199
3200
3201
3202
3203
3204
3205
3206
3207
3208
3209
3210
3211
3212
3213
3214
3215
3216
3217
3218
3219
3220
3221
3222
3223
3224
3225
3226
3227
3228
3229
3230
3231
3232
3233
3234
3235
3236
3237
3238
3239
3240
3241
3242
3243
3244
3245
3246
3247
3248
3249
3250
3251
3252
3253
3254
3255
3256
3257
3258
3259
3260
3261
3262
3263
3264
3265
3266
3267
3268
3269
3270
3271
3272
3273
3274
3275
3276
3277
3278
3279
3280
3281
3282
3283
3284
3285
3286
3287
3288
3289
3290
3291
3292
3293
3294
3295
3296
3297
3298
3299
3300
3301
3302
3303
3304
3305
3306
3307
3308
3309
3310
3311
3312
3313
3314
3315
3316
3317
3318
3319
3320
3321
3322
3323
3324
3325
3326
3327
3328
3329
3330
3331
3332
3333
3334
3335
3336
3337
3338
3339
3340
3341
3342
3343
3344
3345
3346
3347
3348
3349
3350
3351
3352
3353
3354
3355
3356
3357
3358
3359
3360
3361
3362
3363
3364
3365
3366
3367
3368
3369
3370
3371
3372
3373
3374
3375
3376
3377
3378
3379
3380
3381
3382
3383
3384
3385
3386
3387
3388
3389
3390
3391
3392
3393
3394
3395
3396
3397
3398
3399
3400
3401
3402
3403
3404
3405
3406
3407
3408
3409
3410
3411
3412
3413
3414
3415
3416
3417
3418
3419
3420
3421
3422
3423
3424
3425
3426
3427
3428
3429
3430
3431
3432
3433
3434
3435
3436
3437
3438
3439
3440
3441
3442
3443
3444
3445
3446
3447
3448
3449
3450
3451
3452
3453
3454
3455
3456
3457
3458
3459
3460
3461
3462
3463
3464
3465
3466
3467
3468
3469
3470
3471
3472
3473
3474
3475
3476
3477
3478
3479
3480
3481
3482
3483
3484
3485
3486
3487
3488
3489
3490
3491
3492
3493
3494
3495
3496
3497
3498
3499
3500
3501
3502
3503
3504
3505
3506
3507
3508
3509
3510
3511
3512
3513
3514
3515
3516
3517
3518
3519
3520
3521
3522
3523
3524
3525
3526
3527
3528
3529
3530
3531
3532
3533
3534
3535
3536
3537
3538
3539
3540
3541
3542
3543
3544
3545
3546
3547
3548
3549
3550
3551
3552
3553
3554
3555
3556
3557
3558
3559
3560
3561
3562
3563
3564
3565
3566
3567
3568
3569
3570
3571
3572
3573
3574
3575
3576
3577
3578
3579
3580
3581
3582
3583
3584
3585
3586
3587
3588
3589
3590
3591
3592
3593
3594
3595
3596
3597
3598
3599
3600
3601
3602
3603
3604
3605
3606
3607
3608
3609
3610
3611
3612
3613
3614
3615
3616
3617
3618
3619
3620
3621
3622
3623
3624
3625
3626
3627
3628
3629
3630
3631
3632
3633
3634
3635
3636
3637
3638
3639
3640
3641
3642
3643
3644
3645
3646
3647
3648
3649
3650
3651
3652
3653
3654
3655
3656
3657
3658
3659
3660
3661
3662
3663
3664
3665
3666
3667
3668
3669
3670
3671
3672
3673
3674
3675
3676
3677
3678
3679
3680
3681
3682
3683
3684
3685
3686
3687
3688
3689
3690
3691
3692
3693
3694
3695
3696
3697
3698
3699
3700
3701
3702
3703
3704
3705
3706
3707
3708
3709
3710
3711
3712
3713
3714
3715
3716
3717
3718
3719
3720
3721
3722
3723
3724
3725
3726
3727
3728
3729
3730
3731
3732
3733
3734
3735
3736
3737
3738
3739
3740
3741
3742
3743
3744
3745
3746
3747
3748
3749
3750
3751
3752
3753
3754
3755
3756
3757
3758
3759
3760
3761
3762
3763
3764
3765
3766
3767
3768
3769
3770
3771
3772
3773
3774
3775
3776
3777
3778
3779
3780
3781
3782
3783
3784
3785
3786
3787
3788
3789
3790
3791
3792
3793
3794
3795
3796
3797
3798
3799
3800
3801
3802
3803
3804
3805
3806
3807
3808
3809
3810
3811
3812
3813
3814
3815
3816
3817
3818
3819
3820
3821
3822
3823
3824
3825
3826
3827
3828
3829
3830
3831
3832
3833
3834
3835
3836
3837
3838
3839
3840
3841
3842
3843
3844
3845
3846
3847
3848
3849
3850
3851
3852
3853
3854
3855
3856
3857
3858
3859
3860
3861
3862
3863
3864
3865
3866
3867
3868
3869
3870
3871
3872
3873
3874
3875
3876
3877
3878
3879
3880
3881
3882
3883
3884
3885
3886
3887
3888
3889
3890
3891
3892
3893
3894
3895
3896
3897
3898
3899
3900
3901
3902
3903
3904
3905
3906
3907
3908
3909
3910
3911
3912
3913
3914
3915
3916
3917
3918
3919
3920
3921
3922
3923
3924
3925
3926
3927
3928
3929
3930
3931
3932
3933
3934
3935
3936
3937
3938
3939
3940
3941
3942
3943
3944
3945
3946
3947
3948
3949
3950
3951
3952
3953
3954
3955
3956
3957
3958
3959
3960
3961
3962
3963
3964
3965
3966
3967
3968
3969
3970
3971
3972
3973
3974
3975
3976
3977
3978
3979
3980
3981
3982
3983
3984
3985
3986
3987
3988
3989
3990
3991
3992
3993
3994
3995
3996
3997
3998
3999
4000
4001
4002
4003
4004
4005
4006
4007
4008
4009
4010
4011
4012
4013
4014
4015
4016
4017
4018
4019
4020
4021
4022
4023
4024
4025
4026
4027
4028
4029
4030
4031
4032
4033
4034
4035
4036
4037
4038
4039
4040
4041
4042
4043
4044
4045
4046
4047
4048
4049
4050
4051
4052
4053
4054
4055
4056
4057
4058
4059
4060
4061
4062
4063
4064
4065
4066
4067
4068
4069
4070
4071
4072
4073
4074
4075
4076
4077
4078
4079
4080
4081
4082
4083
4084
4085
4086
4087
4088
4089
4090
4091
4092
4093
4094
4095
4096
4097
4098
4099
4100
4101
4102
4103
4104
4105
4106
4107
4108
4109
4110
4111
4112
4113
4114
4115
4116
4117
4118
4119
4120
4121
4122
4123
4124
4125
4126
4127
4128
4129
4130
4131
4132
4133
4134
4135
4136
4137
4138
4139
4140
4141
4142
4143
4144
4145
4146
4147
4148
4149
4150
4151
4152
4153
4154
4155
4156
4157
4158
4159
4160
4161
4162
4163
4164
4165
4166
4167
4168
4169
4170
4171
4172
4173
4174
4175
4176
4177
4178
4179
4180
4181
4182
4183
4184
4185
4186
4187
4188
4189
4190
4191
4192
4193
4194
4195
4196
4197
4198
4199
4200
4201
4202
4203
4204
4205
4206
4207
4208
4209
4210
4211
4212
4213
4214
4215
4216
4217
4218
4219
4220
4221
4222
4223
4224
4225
4226
4227
4228
4229
4230
4231
4232
4233
4234
4235
4236
4237
4238
4239
4240
4241
4242
4243
4244
4245
4246
4247
4248
4249
4250
4251
4252
4253
4254
4255
4256
4257
4258
4259
4260
4261
4262
4263
4264
4265
4266
4267
4268
4269
4270
4271
4272
4273
4274
4275
4276
4277
4278
4279
4280
4281
4282
4283
4284
4285
4286
4287
4288
4289
4290
4291
4292
4293
4294
4295
4296
4297
4298
4299
4300
4301
4302
4303
4304
4305
4306
4307
4308
4309
4310
4311
4312
4313
4314
4315
4316
4317
4318
4319
4320
4321
4322
4323
4324
4325
4326
4327
4328
4329
4330
4331
4332
4333
4334
4335
4336
4337
4338
4339
4340
4341
4342
4343
4344
4345
4346
4347
4348
4349
4350
4351
4352
4353
4354
4355
4356
4357
4358
4359
4360
4361
4362
4363
4364
4365
4366
4367
4368
4369
4370
4371
4372
4373
4374
4375
4376
4377
4378
4379
4380
4381
4382
4383
4384
4385
4386
4387
4388
4389
4390
4391
4392
4393
4394
4395
4396
4397
4398
4399
4400
4401
4402
4403
4404
4405
4406
4407
4408
4409
4410
4411
4412
4413
4414
4415
4416
4417
4418
4419
4420
4421
4422
4423
4424
4425
4426
4427
4428
4429
4430
4431
4432
4433
4434
4435
4436
4437
4438
4439
4440
4441
4442
4443
4444
4445
4446
4447
4448
4449
4450
4451
4452
4453
4454
4455
4456
4457
4458
4459
4460
4461
4462
4463
4464
4465
4466
4467
4468
4469
4470
4471
4472
4473
4474
4475
4476
4477
4478
4479
4480
4481
4482
4483
4484
4485
4486
4487
4488
4489
4490
4491
4492
4493
4494
4495
4496
4497
4498
4499
4500
4501
4502
4503
4504
4505
4506
4507
4508
4509
4510
4511
4512
4513
4514
4515
4516
4517
4518
4519
4520
4521
4522
4523
4524
4525
4526
4527
4528
4529
4530
4531
4532
4533
4534
4535
4536
4537
4538
4539
4540
4541
4542
4543
4544
4545
4546
4547
4548
4549
4550
4551
4552
4553
4554
4555
4556
4557
4558
4559
4560
4561
4562
4563
4564
4565
4566
4567
4568
4569
4570
4571
4572
4573
4574
4575
4576
4577
4578
4579
4580
4581
4582
4583
4584
4585
4586
4587
4588
4589
4590
4591
4592
4593
4594
4595
4596
4597
4598
4599
4600
4601
4602
4603
4604
4605
4606
4607
4608
4609
4610
4611
4612
4613
4614
4615
4616
4617
4618
4619
4620
4621
4622
4623
4624
4625
4626
4627
4628
4629
4630
4631
4632
4633
4634
4635
4636
4637
4638
4639
4640
4641
4642
4643
4644
4645
4646
4647
4648
4649
4650
4651
4652
4653
4654
4655
4656
4657
4658
4659
4660
4661
4662
4663
4664
4665
4666
4667
4668
4669
4670
4671
4672
4673
4674
4675
4676
4677
4678
4679
4680
4681
4682
4683
4684
4685
4686
4687
4688
4689
4690
4691
4692
4693
4694
4695
4696
4697
4698
4699
4700
4701
4702
4703
4704
4705
4706
4707
4708
4709
4710
4711
4712
4713
4714
4715
4716
4717
4718
4719
4720
4721
4722
4723
4724
4725
4726
4727
4728
4729
4730
4731
4732
4733
4734
4735
4736
4737
4738
4739
4740
4741
4742
4743
4744
4745
4746
4747
4748
4749
4750
4751
4752
4753
4754
4755
4756
4757
4758
4759
4760
4761
4762
4763
4764
4765
4766
4767
4768
4769
4770
4771
4772
4773
4774
4775
4776
4777
4778
4779
4780
4781
4782
4783
4784
4785
4786
4787
4788
4789
4790
4791
4792
4793
4794
4795
4796
4797
4798
4799
4800
4801
4802
4803
4804
4805
4806
4807
4808
4809
4810
4811
4812
4813
4814
4815
4816
4817
4818
4819
4820
4821
4822
4823
4824
4825
4826
4827
4828
4829
4830
4831
4832
4833
4834
4835
4836
4837
4838
4839
4840
4841
4842
4843
4844
4845
4846
4847
4848
4849
4850
4851
4852
4853
4854
4855
4856
4857
4858
4859
4860
4861
4862
4863
4864
4865
4866
4867
4868
4869
4870
4871
4872
4873
4874
4875
4876
4877
4878
4879
4880
4881
4882
4883
4884
4885
4886
4887
4888
4889
4890
4891
4892
4893
4894
4895
4896
4897
4898
4899
4900
4901
4902
4903
4904
4905
4906
4907
4908
4909
4910
4911
4912
4913
4914
4915
4916
4917
4918
4919
4920
4921
4922
4923
4924
4925
4926
4927
4928
4929
4930
4931
4932
4933
4934
4935
4936
4937
4938
4939
4940
4941
4942
4943
4944
4945
4946
4947
4948
4949
4950
4951
4952
4953
4954
4955
4956
4957
4958
4959
4960
4961
4962
4963
4964
4965
4966
4967
4968
4969
4970
4971
4972
4973
4974
4975
4976
4977
4978
4979
4980
4981
4982
4983
4984
4985
4986
4987
4988
4989
4990
4991
4992
4993
4994
4995
4996
4997
4998
4999
5000
5001
5002
5003
5004
5005
5006
5007
5008
5009
5010
5011
5012
5013
5014
5015
5016
5017
5018
5019
5020
5021
5022
5023
5024
5025
5026
5027
5028
5029
5030
5031
5032
5033
5034
5035
5036
5037
5038
5039
5040
5041
5042
5043
5044
5045
5046
5047
5048
5049
5050
5051
5052
5053
5054
5055
5056
5057
5058
5059
5060
5061
5062
5063
5064
5065
5066
5067
5068
5069
5070
5071
5072
5073
5074
5075
5076
5077
5078
5079
5080
5081
5082
5083
5084
5085
5086
5087
5088
5089
5090
5091
5092
5093
5094
5095
5096
5097
5098
5099
5100
5101
5102
5103
5104
5105
5106
5107
5108
5109
5110
5111
5112
5113
5114
5115
5116
5117
5118
5119
5120
5121
5122
5123
5124
5125
5126
5127
5128
5129
5130
5131
5132
5133
5134
5135
5136
5137
5138
5139
5140
5141
5142
5143
5144
5145
5146
5147
5148
5149
5150
5151
5152
5153
5154
5155
5156
5157
5158
5159
5160
5161
5162
5163
5164
5165
5166
5167
5168
5169
5170
5171
5172
5173
5174
5175
5176
5177
5178
5179
5180
5181
5182
5183
5184
5185
5186
5187
5188
5189
5190
5191
5192
5193
5194
5195
5196
5197
5198
5199
5200
5201
5202
5203
5204
5205
5206
5207
5208
5209
5210
5211
5212
5213
5214
5215
5216
5217
5218
5219
5220
5221
5222
5223
5224
5225
5226
5227
5228
5229
5230
5231
5232
5233
5234
5235
5236
5237
5238
5239
5240
5241
5242
5243
5244
5245
5246
5247
5248
5249
5250
5251
5252
5253
5254
5255
5256
5257
5258
5259
5260
5261
5262
5263
5264
5265
5266
5267
5268
5269
5270
5271
5272
5273
5274
5275
5276
5277
5278
5279
5280
5281
5282
5283
5284
5285
5286
5287
5288
5289
5290
5291
5292
5293
5294
5295
5296
5297
5298
5299
5300
5301
5302
5303
5304
5305
5306
5307
5308
5309
5310
5311
5312
5313
5314
5315
5316
5317
5318
5319
5320
5321
5322
5323
5324
5325
5326
5327
5328
5329
5330
5331
5332
5333
5334
5335
5336
5337
5338
5339
5340
5341
5342
5343
5344
5345
5346
5347
5348
5349
5350
5351
5352
5353
5354
5355
5356
5357
5358
5359
5360
5361
5362
5363
5364
5365
5366
5367
5368
5369
5370
5371
5372
5373
5374
5375
5376
5377
5378
5379
5380
5381
5382
5383
5384
5385
5386
5387
5388
5389
5390
5391
5392
5393
5394
5395
5396
5397
5398
5399
5400
5401
5402
5403
5404
5405
5406
5407
5408
5409
5410
5411
5412
5413
5414
5415
5416
5417
5418
5419
5420
5421
5422
5423
5424
5425
5426
5427
5428
5429
5430
5431
5432
5433
5434
5435
5436
5437
5438
5439
5440
5441
5442
5443
5444
5445
5446
5447
5448
5449
5450
5451
5452
5453
5454
5455
5456
5457
5458
5459
5460
5461
5462
5463
5464
5465
5466
5467
5468
5469
5470
5471
5472
5473
5474
5475
5476
5477
5478
5479
5480
5481
5482
5483
5484
5485
5486
5487
5488
5489
5490
5491
5492
5493
5494
5495
5496
5497
5498
5499
5500
5501
5502
5503
5504
5505
5506
5507
5508
5509
5510
5511
5512
5513
5514
5515
5516
5517
5518
5519
5520
5521
5522
5523
5524
5525
5526
5527
5528
5529
5530
5531
5532
5533
5534
5535
5536
5537
5538
5539
5540
5541
5542
5543
5544
5545
5546
5547
5548
5549
5550
5551
5552
5553
5554
5555
5556
5557
5558
5559
5560
5561
5562
5563
5564
5565
5566
5567
5568
5569
5570
5571
5572
5573
5574
5575
5576
5577
5578
5579
5580
5581
5582
5583
5584
5585
5586
5587
5588
5589
5590
5591
5592
5593
5594
5595
5596
5597
5598
5599
5600
5601
5602
5603
5604
5605
5606
5607
5608
5609
5610
5611
5612
5613
5614
5615
5616
5617
5618
5619
5620
5621
5622
5623
5624
5625
5626
5627
5628
5629
5630
5631
5632
5633
5634
5635
5636
5637
5638
5639
5640
5641
5642
5643
5644
5645
5646
5647
5648
5649
5650
5651
5652
5653
5654
5655
5656
5657
5658
5659
5660
5661
5662
5663
5664
5665
5666
5667
5668
5669
5670
5671
5672
5673
5674
5675
5676
5677
5678
5679
5680
5681
5682
5683
5684
5685
5686
5687
5688
5689
5690
5691
5692
5693
5694
5695
5696
5697
5698
5699
5700
5701
5702
5703
5704
5705
5706
5707
5708
5709
5710
5711
5712
5713
5714
5715
5716
5717
5718
5719
5720
5721
5722
5723
5724
5725
5726
5727
5728
5729
5730
5731
5732
5733
5734
5735
5736
5737
5738
5739
5740
5741
5742
5743
5744
5745
5746
5747
5748
5749
5750
5751
5752
5753
5754
5755
5756
5757
5758
5759
5760
5761
5762
5763
5764
5765
5766
5767
5768
5769
5770
5771
5772
5773
5774
5775
5776
5777
5778
5779
5780
5781
5782
5783
5784
5785
5786
5787
5788
5789
5790
5791
5792
5793
5794
5795
5796
5797
5798
5799
5800
5801
5802
5803
5804
5805
5806
5807
5808
5809
5810
5811
5812
5813
5814
5815
5816
5817
5818
5819
5820
5821
5822
5823
5824
5825
5826
5827
5828
5829
5830
5831
5832
5833
5834
5835
5836
5837
5838
5839
5840
5841
5842
5843
5844
5845
5846
5847
5848
5849
5850
5851
5852
5853
5854
5855
5856
5857
5858
5859
5860
5861
5862
5863
5864
5865
5866
5867
5868
5869
5870
5871
5872
5873
5874
5875
5876
5877
5878
5879
5880
5881
5882
5883
5884
5885
5886
5887
5888
5889
5890
5891
5892
5893
5894
5895
5896
5897
5898
5899
5900
5901
5902
5903
5904
5905
5906
5907
5908
5909
5910
5911
5912
5913
5914
5915
5916
5917
5918
5919
5920
5921
5922
5923
5924
5925
5926
5927
5928
5929
5930
5931
5932
5933
5934
5935
5936
5937
5938
5939
5940
5941
5942
5943
5944
5945
5946
5947
5948
5949
5950
5951
5952
5953
5954
5955
5956
5957
5958
5959
5960
5961
5962
5963
5964
5965
5966
5967
5968
5969
5970
5971
5972
5973
5974
5975
5976
5977
5978
5979
5980
5981
5982
5983
5984
5985
5986
5987
5988
5989
5990
5991
5992
5993
5994
5995
5996
5997
5998
5999
6000
6001
6002
6003
6004
6005
6006
6007
6008
6009
6010
6011
6012
6013
6014
6015
6016
6017
6018
6019
6020
6021
6022
6023
6024
6025
6026
6027
6028
6029
6030
6031
6032
6033
6034
6035
6036
6037
6038
6039
6040
6041
6042
6043
6044
6045
6046
6047
6048
6049
6050
6051
6052
6053
6054
6055
6056
6057
6058
6059
6060
6061
6062
6063
6064
6065
6066
6067
6068
6069
6070
6071
6072
6073
6074
6075
6076
6077
6078
6079
6080
6081
6082
6083
6084
6085
6086
6087
6088
6089
6090
6091
6092
6093
6094
6095
6096
6097
6098
6099
6100
6101
6102
6103
6104
6105
6106
6107
6108
6109
6110
6111
6112
6113
6114
6115
6116
6117
6118
6119
6120
6121
6122
6123
6124
6125
6126
6127
6128
6129
6130
6131
6132
6133
6134
6135
6136
6137
6138
6139
6140
6141
6142
6143
6144
6145
6146
6147
6148
6149
6150
6151
6152
6153
6154
6155
6156
6157
6158
6159
6160
6161
6162
6163
6164
6165
6166
6167
6168
6169
6170
6171
6172
6173
6174
6175
6176
6177
6178
6179
6180
6181
6182
6183
6184
6185
6186
6187
6188
6189
6190
6191
6192
6193
6194
6195
6196
6197
6198
6199
6200
6201
6202
6203
6204
6205
6206
6207
6208
6209
6210
6211
6212
6213
6214
6215
6216
6217
6218
6219
6220
6221
6222
6223
6224
6225
6226
6227
6228
6229
6230
6231
6232
6233
6234
6235
6236
6237
6238
6239
6240
6241
6242
6243
6244
6245
6246
6247
6248
6249
6250
6251
6252
6253
6254
6255
6256
6257
6258
6259
6260
6261
6262
6263
6264
6265
6266
6267
6268
6269
6270
6271
6272
6273
6274
6275
6276
6277
6278
6279
6280
6281
6282
6283
6284
6285
6286
6287
6288
6289
6290
6291
6292
6293
6294
6295
6296
6297
6298
6299
6300
6301
6302
6303
6304
6305
6306
6307
6308
6309
6310
6311
6312
6313
6314
6315
6316
6317
6318
6319
6320
6321
6322
6323
6324
6325
6326
6327
6328
6329
6330
6331
6332
6333
6334
6335
6336
6337
6338
6339
6340
6341
6342
6343
6344
6345
6346
6347
6348
6349
6350
6351
6352
6353
6354
6355
6356
6357
6358
6359
6360
6361
6362
6363
6364
6365
6366
6367
6368
6369
6370
6371
6372
6373
6374
6375
6376
6377
6378
6379
6380
6381
6382
6383
6384
6385
6386
6387
6388
6389
6390
6391
6392
6393
6394
6395
6396
6397
6398
6399
6400
6401
6402
6403
6404
6405
6406
6407
6408
6409
6410
6411
6412
6413
6414
6415
6416
6417
6418
6419
6420
6421
6422
6423
6424
6425
6426
6427
6428
6429
6430
6431
6432
6433
6434
6435
6436
6437
6438
6439
6440
6441
6442
6443
6444
6445
6446
6447
6448
6449
6450
6451
6452
6453
6454
6455
6456
6457
6458
6459
6460
6461
6462
6463
6464
6465
6466
6467
6468
6469
6470
6471
6472
6473
6474
6475
6476
6477
6478
6479
6480
6481
6482
6483
6484
6485
6486
6487
6488
6489
6490
6491
6492
6493
6494
6495
6496
6497
6498
6499
6500
6501
6502
6503
6504
6505
6506
6507
6508
6509
6510
6511
6512
6513
6514
6515
6516
6517
6518
6519
6520
6521
6522
6523
6524
6525
6526
6527
6528
6529
6530
6531
6532
6533
6534
6535
6536
6537
6538
6539
6540
6541
6542
6543
6544
6545
6546
6547
6548
6549
6550
6551
6552
6553
6554
6555
6556
6557
6558
6559
6560
6561
6562
6563
6564
6565
6566
6567
6568
6569
6570
6571
6572
6573
6574
6575
6576
6577
6578
6579
6580
6581
6582
6583
6584
6585
6586
6587
6588
6589
6590
6591
6592
6593
6594
6595
6596
6597
6598
6599
6600
6601
6602
6603
6604
6605
6606
6607
6608
6609
6610
6611
6612
6613
6614
6615
6616
6617
6618
6619
6620
6621
6622
6623
6624
6625
6626
6627
6628
6629
6630
6631
6632
6633
6634
6635
6636
6637
6638
6639
6640
6641
6642
6643
6644
6645
6646
6647
6648
6649
6650
6651
6652
6653
6654
6655
6656
6657
6658
6659
6660
6661
6662
6663
6664
6665
6666
6667
6668
6669
6670
6671
6672
6673
6674
6675
6676
6677
6678
6679
6680
6681
6682
6683
6684
6685
6686
6687
6688
6689
6690
6691
6692
6693
6694
6695
6696
6697
6698
6699
6700
6701
6702
6703
6704
6705
6706
6707
6708
6709
6710
6711
6712
6713
6714
6715
6716
6717
6718
6719
6720
6721
6722
6723
6724
6725
6726
6727
6728
6729
6730
6731
6732
6733
6734
6735
6736
6737
6738
6739
6740
6741
6742
6743
6744
6745
6746
6747
6748
6749
6750
6751
6752
6753
6754
6755
6756
6757
6758
6759
6760
6761
6762
6763
6764
6765
6766
6767
6768
6769
6770
6771
6772
6773
6774
6775
6776
6777
6778
6779
6780
6781
6782
6783
6784
6785
6786
6787
6788
6789
6790
6791
6792
6793
6794
6795
6796
6797
6798
6799
6800
6801
6802
6803
6804
6805
6806
6807
6808
6809
6810
6811
6812
6813
6814
6815
6816
6817
6818
6819
6820
6821
6822
6823
6824
6825
6826
6827
6828
6829
6830
6831
6832
6833
6834
6835
6836
6837
6838
6839
6840
6841
6842
6843
6844
6845
6846
6847
6848
6849
6850
6851
6852
6853
6854
6855
6856
6857
6858
6859
6860
6861
6862
6863
6864
6865
6866
6867
6868
6869
6870
6871
6872
6873
6874
6875
6876
6877
6878
6879
6880
6881
6882
6883
6884
6885
6886
6887
6888
6889
6890
6891
6892
6893
6894
6895
6896
6897
6898
6899
6900
6901
6902
6903
6904
6905
6906
6907
6908
6909
6910
6911
6912
6913
6914
6915
6916
6917
6918
6919
6920
6921
6922
6923
6924
6925
6926
6927
6928
6929
6930
6931
6932
6933
6934
6935
6936
6937
6938
6939
6940
6941
6942
6943
6944
6945
6946
6947
6948
6949
6950
6951
6952
6953
6954
6955
6956
6957
6958
6959
6960
6961
6962
6963
6964
6965
6966
6967
6968
6969
6970
6971
6972
6973
6974
6975
6976
6977
6978
6979
6980
6981
6982
6983
6984
6985
6986
6987
6988
6989
6990
6991
6992
6993
6994
6995
6996
6997
6998
6999
7000
7001
7002
7003
7004
7005
7006
7007
7008
7009
7010
7011
7012
7013
7014
7015
7016
7017
7018
7019
7020
7021
7022
7023
7024
7025
7026
7027
7028
7029
7030
7031
7032
7033
7034
7035
7036
7037
7038
7039
7040
7041
7042
7043
7044
7045
7046
7047
7048
7049
7050
7051
7052
7053
7054
7055
7056
7057
7058
7059
7060
7061
7062
7063
7064
7065
7066
7067
7068
7069
7070
7071
7072
7073
7074
7075
7076
7077
7078
7079
7080
7081
7082
7083
7084
7085
7086
7087
7088
7089
7090
7091
7092
7093
7094
7095
7096
7097
7098
7099
7100
7101
7102
7103
7104
7105
7106
7107
7108
7109
7110
7111
7112
7113
7114
7115
7116
7117
7118
7119
7120
7121
7122
7123
7124
7125
7126
7127
7128
7129
7130
7131
7132
7133
7134
7135
7136
7137
7138
7139
7140
7141
7142
7143
7144
7145
7146
7147
7148
7149
7150
7151
7152
7153
7154
7155
7156
7157
7158
7159
7160
7161
7162
7163
7164
7165
7166
7167
7168
7169
7170
7171
7172
7173
7174
7175
7176
7177
7178
7179
7180
7181
7182
7183
7184
7185
7186
7187
7188
7189
7190
7191
7192
7193
7194
7195
7196
7197
7198
7199
7200
7201
7202
7203
7204
7205
7206
7207
7208
7209
7210
7211
7212
7213
7214
7215
7216
7217
7218
7219
7220
7221
7222
7223
7224
7225
7226
7227
7228
7229
7230
7231
7232
7233
7234
7235
7236
7237
7238
7239
7240
7241
7242
7243
7244
7245
7246
7247
7248
7249
7250
7251
7252
7253
7254
7255
7256
7257
7258
7259
7260
7261
7262
7263
7264
7265
7266
7267
7268
7269
7270
7271
7272
7273
7274
7275
7276
7277
7278
7279
; ACL2 Version 8.0 -- A Computational Logic for Applicative Common Lisp
; Copyright (C) 2017, Regents of the University of Texas

; This version of ACL2 is a descendent of ACL2 Version 1.9, Copyright
; (C) 1997 Computational Logic, Inc.  See the documentation topic NOTE-2-0.

; This program is free software; you can redistribute it and/or modify
; it under the terms of the LICENSE file distributed with ACL2.

; This program 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
; LICENSE for more details.

; Written by:  Matt Kaufmann               and J Strother Moore
; email:       Kaufmann@cs.utexas.edu      and Moore@cs.utexas.edu
; Department of Computer Science
; University of Texas at Austin
; Austin, TX 78712 U.S.A.

; The code in this file was originally placed in several different source
; files, but was moved here in order to support the creation of "toothbrush"
; applications -- that is, so that fewer ACL2 source files need to be loaded in
; order to support ACL2 applications.  See community books file
; books/system/toothbrush/README.

(in-package "ACL2")

; Essay on Wormholes

; Once upon a time (Version  3.6 and earlier) the wormhole function had a
; pseudo-flg argument which allowed the user a quick way to determine whether
; it was appropriate to incur the expense of going into the wormhole.  The idea
; was that the form could have one a free var in it, wormhole-output, and that
; when it was evaluated in raw Lisp that variable was bound to the last value
; returned by the wormhole.  Since wormhole always returned nil anyway, this
; screwy semantics didn't matter.  However, it was implemented in such a way
; that a poorly constructed pseudo-flg could survive guard verification and yet
; cause a hard error at runtime because during guard verification
; wormhole-output was bound to NIL but in actual evaluation it was entirely
; under the control of the wormhole forms.

; To fix this we have introduced wormhole-eval.  It takes two important
; arguments, the name of the wormhole and a lambda expression.  Both must be
; quoted.  The lambda may have at most one argument but the body may contain
; any variables available in the environment of the wormhole-eval call.  (A
; third argument to wormhole-eval is an arbitrary form that uses all the free
; vars of the lambda, thus insuring that translate will cause an error if the
; lambda uses variables unavailable in the context.)  The body of the lambda
; must be a single-valued, non-state, non-stobj term.

; The idea is that the lambda expression is applied to the last value of the
; wormhole output and its value is assigned as the last value of the wormhole
; output.  Wormhole-eval always returns nil.  Translation of a wormhole-eval
; call enforces these restrictions.  Furthermore, it translates the body of the
; lambda (even though the lambda is quoted).  This is irrelevant since the
; wormhole-eval returns nil regardless of the lambda expression supplied.
; Similarly, translation computes an appropriate third argument to use all the
; free vars, so the user may just write nil there and a suitable form is
; inserted by translate.

; We arrange for wormhole-eval to be a macro in raw lisp that really does what
; is said above.

; To make it bullet-proof, when we generate guard clauses we go inside the
; lambda, generating a new variable symbol to use in place of the lambda formal
; denoting the last value of the wormhole output.  Thus, if guard clauses can be
; verified, it doesn't matter what the wormhole actually returns as its value.

; Ev-rec, the interpreter for terms, treats wormhole-eval specially in the
; expected way, as does oneify.  Thus, both interpreted and compiled calls of
; wormhole-eval are handled, and guard violations are handled politely.

; Now, how does this allow us to fix the wormhole pseudo-flg problem?

; The hidden global variable in Lisp used to record the status of the various
; wormholes is called *wormhole-status-alist*.  The entry in this alist for
; a particular wormhole will be called the wormhole's ``status.''  The lambda
; expression in wormhole-eval maps the wormhole's status to a new status.

; The status of a wormhole is supposed to be a cons whose car is either :ENTER
; or :SKIP.  However, in the absence of verifying the guards on the code inside
; wormholes and in light of the fact that users can set the status by
; manipulating wormhole-status in the wormhole it is hard to insure that the
; status is always as supposed.  So we code rather defensively.

; When the ``function'' wormhole is called it may or may not actually enter a
; wormhole.  ``Entering'' the wormhole means invoking the form on the given
; input, inside a side-effects undoing call of ld.  That, in turn, involves
; setting up the ld specials and then reading, translating, and evaluating
; forms.  Upon exit, cleanup must be done.  So entering is expensive.

; Whether it enters the wormhole or not depends on the wormhole's status, and
; in particular it depends on what we call the wormhole's ``entry code''
; computed from the status as follows.

; If the wormhole's status satisfies wormhole-statusp then the situation is
; simple: wormhole enters the wormhole if the status is :ENTER and doesn't if
; the status is :SKIP.  But we compute the entry code defensively: the entry
; code is :SKIP if and only if the wormhole's status is a cons whose car is
; :SKIP.  Otherwise, the entry code is :ENTER.

; If we enter the wormhole, we take the wormhole input argument and stuff it
; into (@ wormhole-input), allowing the user to see it inside the ld code.  We
; take the wormhole status and stuff it into (@ wormhole-status), allowing the
; user to see it and probably change it with (assign wormhole-status...).  When
; we exit ld, we take (@ wormhole-status) and put it back into the hidden
; *wormhole-status-alist*.

; One subtlety arises: How to make wormholes re-entrant...  The problem is that
; sometimes the current status is in the hidden alist and other times it is in
; (@ wormhole-status).  So when we try to enter a new wormhole from within a
; wormhole -- which always happens by calling wormhole-eval -- the first thing
; we do is stuff the current (@ wormhole-status) into the hidden
; *wormhole-status-alist*.  This means that the lambda expression for the new
; entrance is applied, it is applied to the ``most recent'' value of the status
; of that particular wormhole.  The natural undoing of wormhole effects
; implements the restoration of (@ wormhole-status) upon exit from the
; recursive wormhole.

; If we wanted to convert our system code to logic mode we would want to verify
; the guards of the lambda bodies and the wormhole-status after ld.  See the
; comment in push-accp.  Here is a proposal for how to do that.  First, insist
; that wormhole names are symbols.  Indeed, they must be one argument,
; guard-verified Boolean functions.  The guard for a call of wormhole-eval on a
; wormhole named foo should include the conjunct (foo nil) to insure that the
; initial value of the status is acceptable.  The guard on the body of (lambda
; (whs) body) should be extended to include the hypothesis that (foo whs) is
; true and that (foo whs) --> (foo body) is true.  We should then change
; wormhole so that if it calls ld it tests foo at runtime after the ld returns
; so we know that the final status satisfies foo.  If we do this we can safely
; assume that every status seen by a lambda body in wormhole-eval will satisfy
; the foo invariant.

(defun wormhole-statusp (whs)
  (declare (xargs :mode :logic :guard t))
  (or (equal whs nil)
      (and (consp whs)
           (or (eq (car whs) :ENTER)
               (eq (car whs) :SKIP)))))

(defun wormhole-entry-code (whs)

; Keep this function in sync with the inline code in wormhole1.

  (declare (xargs :mode :logic :guard t))
  (if (and (consp whs)
           (eq (car whs) :SKIP))
      :SKIP
      :ENTER))

(defun wormhole-data (whs)
  (declare (xargs :mode :logic :guard t))
  (if (consp whs)
      (cdr whs)
      nil))

(defun set-wormhole-entry-code (whs code)
  (declare (xargs :mode :logic
                  :guard (or (eq code :ENTER)
                             (eq code :SKIP))))
  (if (consp whs)
      (if (eq (car whs) code)
          whs
          (cons code (cdr whs)))
      (if (eq code :enter)
          whs
          (cons :skip whs))))

(defun set-wormhole-data (whs data)
  (declare (xargs :mode :logic :guard t))
  (if (consp whs)
      (if (equal (cdr whs) data)
          whs
          (cons (car whs) data))
      (cons :enter data)))

(defun make-wormhole-status (old-status new-code new-data)
  (declare (xargs :mode :logic
                  :guard (or (eq new-code :ENTER)
                             (eq new-code :SKIP))))
  (if (consp old-status)
      (if (and (eq new-code (car old-status))
               (equal new-data (cdr old-status)))
          old-status
          (cons new-code new-data))
      (cons new-code new-data)))

; (defthm wormhole-status-guarantees
;   (if (or (eq code :enter)
;           (eq code :skip))
;       (and (implies (wormhole-statusp whs)
;                     (wormhole-statusp (set-wormhole-entry-code whs code)))
;            (implies (wormhole-statusp whs)
;                     (wormhole-statusp (set-wormhole-data whs data)))
;            (equal (wormhole-entry-code (set-wormhole-entry-code whs code))
;                   code)
;            (equal (wormhole-data (set-wormhole-data whs data))
;                   data)
;            (implies (wormhole-statusp whs)
;                     (equal (wormhole-data (set-wormhole-entry-code whs code))
;                            (wormhole-data whs)))
;            (implies (wormhole-statusp whs)
;                     (equal (wormhole-entry-code
;                             (set-wormhole-data whs data))
;                            (wormhole-entry-code whs)))
;            (implies (wormhole-statusp whs)
;                     (wormhole-statusp (make-wormhole-status whs code data)))
;            (equal (wormhole-entry-code (make-wormhole-status whs code data))
;                   code)
;            (equal (wormhole-data (make-wormhole-status whs code data))
;                   data))
;       t)
;   :rule-classes nil)
;
; (verify-guards wormhole-status-guarantees)

; In particular, given a legal code, set-wormhole-entry-code preserves
; wormhole-statusp and always returns an object with the given entry code
; (whether the status was well-formed or not).  Furthermore, the guards on
; these functions are verified.  Thus, they can be called safely even if the
; user has messed up our wormhole status.  Of course, if the user has messed up
; the status, there is no guarantee about what happens inside the wormhole.

(defun tree-occur-eq (x y)

; Does symbol x occur in the cons tree y?

  (declare (xargs :guard (symbolp x)))
  (cond ((consp y)
         (or (tree-occur-eq x (car y))
             (tree-occur-eq x (cdr y))))
        (t (eq x y))))

#+acl2-loop-only
(defun wormhole-eval (qname qlambda free-vars)

; A typical call of this function is
; (wormhole-eval 'my-wormhole
;                '(lambda (output) (p x y output))
;                (list x y))

; And the pragmatic semantics is that the lambda expression is applied to the
; last output of the wormhole my-wormhole, the result of of the application is
; stuffed back in as the last output, and the function logically returns nil.
; Note that free vars in the lambda must listed.  This is so that the free vars
; of this wormhole-eval expression consists of the free vars of the lambda,
; even though the lambda appears quoted.  Translate automatically replaces the
; lambda expression constant by the translated version of that same constant,
; and it replaces the supposed list of free vars by the actual free vars.  So
; in fact the user calling wormhole-eval can just put nil in the free-vars arg
; and let translate fill it in.  Translate can mangle the arguments of
; wormhole-eval because it always returns nil, regardless of its arguments.

; The guard is declared below to be t but actually we compute the guard for the
; body of the quoted lambda, with some fiddling about the bound variable.

  (declare (xargs :mode :logic
                  :guard t)
           (ignore qname qlambda free-vars))


  nil)

(deflock *wormhole-lock*)

#-acl2-loop-only
(defmacro wormhole-eval (qname qlambda free-vars)
  (declare (xargs :guard t))

; All calls of wormhole-eval that have survived translation are of a special
; form.  Qname is a quoted object (used as the name of a wormhole), and qlambda
; is of one of the two forms:

; (i)  (quote (lambda (whs) body)), or
; (ii) (quote (lambda ()    body))

; where whs (``wormhole status'') is a legal variable symbol, body is a fully
; translated term that may involve whs and other variables which returns one
; result.  We furthermore know that the free vars in the lambda are the free
; vars of the term free-vars, which is typically just a list-expression of
; variable names supplied by translate.  Finally, we know that whs appears as
; the lambda formal iff it is used in body.

; Wormholes may have arbitrary objects for names, so qname is not necessarily a
; quoted symbol.  This may be the first entry into the wormhole of that name,
; in which case the most recent output of the wormhole is understood to be nil.

; Logically this function always returns nil.  Actually, it applies the lambda
; expression to either (i) ``the most recent output'' of the named wormhole or
; (ii) no arguments, appropriately, and stores the result as the most recent
; output, and then returns nil.

  (let* ((whs (if (car (cadr (cadr qlambda)))
                  (car (cadr (cadr qlambda))) ; Case (i)
                (gensym)))                    ; Case (ii)
         (val (gensym))
         (form

; The code we lay down is the same in both cases, because we use the variable whs to
; store the old value of the status to see whether it has changed.  But we have
; to generate a name if one isn't supplied.

          `(progn
             (cond (*wormholep*
                    (setq *wormhole-status-alist*
                          (put-assoc-equal
                           (f-get-global 'wormhole-name
                                         *the-live-state*)
                           (f-get-global 'wormhole-status
                                         *the-live-state*)
                           *wormhole-status-alist*))))
             (let* ((*wormholep* t)
                    (,whs (cdr (assoc-equal ,qname *wormhole-status-alist*)))
                    (,val ,(caddr (cadr qlambda))))
               (or (equal ,whs ,val)
                   (setq *wormhole-status-alist*
                         (put-assoc-equal ,qname ,val *wormhole-status-alist*)))
               nil))))
    (cond ((tree-occur-eq :no-wormhole-lock free-vars)
           form)
          (t `(with-wormhole-lock ,form)))))

(defmacro wormhole (name entry-lambda input form
                         &key
                         (current-package 'same current-packagep)
                         (ld-skip-proofsp 'same ld-skip-proofspp)
                         (ld-redefinition-action 'save ld-redefinition-actionp)
                         (ld-prompt ''wormhole-prompt)
                         (ld-missing-input-ok 'same ld-missing-input-okp)
                         (ld-pre-eval-filter 'same ld-pre-eval-filterp)
                         (ld-pre-eval-print 'same ld-pre-eval-printp)
                         (ld-post-eval-print 'same ld-post-eval-printp)
                         (ld-evisc-tuple 'same ld-evisc-tuplep)
                         (ld-error-triples 'same ld-error-triplesp)
                         (ld-error-action 'same ld-error-actionp)
                         (ld-query-control-alist 'same ld-query-control-alistp)
                         (ld-verbose 'same ld-verbosep)
                         (ld-user-stobjs-modified-warning ':same))
  `(with-wormhole-lock
    (prog2$
     (wormhole-eval ,name ,entry-lambda

; It is probably harmless to allow a second lock under the one above, but there
; is no need, so we avoid it.

                    :no-wormhole-lock)
     (wormhole1
      ,name
      ,input
      ,form
      (list
       ,@(append
          (if current-packagep
              (list `(cons 'current-package ,current-package))
            nil)
          (if ld-skip-proofspp
              (list `(cons 'ld-skip-proofsp ,ld-skip-proofsp))
            nil)
          (if ld-redefinition-actionp
              (list `(cons 'ld-redefinition-action
                           ,ld-redefinition-action))
            nil)
          (list `(cons 'ld-prompt ,ld-prompt))
          (if ld-missing-input-okp
              (list `(cons 'ld-missing-input-ok ,ld-missing-input-ok))
            nil)
          (if ld-pre-eval-filterp
              (list `(cons 'ld-pre-eval-filter ,ld-pre-eval-filter))
            nil)
          (if ld-pre-eval-printp
              (list `(cons 'ld-pre-eval-print ,ld-pre-eval-print))
            nil)
          (if ld-post-eval-printp
              (list `(cons 'ld-post-eval-print ,ld-post-eval-print))
            nil)
          (if ld-evisc-tuplep
              (list `(cons 'ld-evisc-tuple ,ld-evisc-tuple))
            nil)
          (if ld-error-triplesp
              (list `(cons 'ld-error-triples ,ld-error-triples))
            nil)
          (if ld-error-actionp
              (list `(cons 'ld-error-action ,ld-error-action))
            nil)
          (if ld-query-control-alistp
              (list `(cons 'ld-query-control-alist ,ld-query-control-alist))
            nil)
          (if ld-verbosep
              (list `(cons 'ld-verbose ,ld-verbose))
            nil)
          (if (eq ld-user-stobjs-modified-warning :same)
              (list `(cons 'ld-user-stobjs-modified-warning
                           ,ld-user-stobjs-modified-warning))
            nil)))))))

(defun legal-constantp1 (name)

; This function should correctly distinguish between variables and
; constants for symbols that are known to satisfy
; legal-variable-or-constant-namep.  Thus, if name satisfies this
; predicate then it cannot be a variable.

  (declare (xargs :guard (symbolp name)))
  (or (eq name t)
      (eq name nil)
      (let ((s (symbol-name name)))
        (and (not (= (length s) 0))
             (eql (char s 0) #\*)
             (eql (char s (1- (length s))) #\*)))))

(defun lambda-keywordp (x)
  (and (symbolp x)
       (eql 1 (string<= "&" (symbol-name x)))))

(defun legal-variable-or-constant-namep (name)

; This function checks the syntax of variable or constant name
; symbols.  In all cases, name must be a symbol that is not in the
; keyword package or among *common-lisp-specials-and-constants*
; (except t and nil), or in the main Lisp package but outside
; *common-lisp-symbols-from-main-lisp-package*, and that does not
; start with an ampersand.  The function returns 'constant, 'variable,
; or nil.

; WARNING: T and nil are legal-variable-or-constant-nameps
; because we want to allow their use as constants.

; We now allow some variables (but still no constants) from the main Lisp
; package.  See *common-lisp-specials-and-constants*.  The following note
; explains why we have been cautious here.

; Historical Note

; This package restriction prohibits using some very common names as
; variables or constants, e.g., MAX and REST.  Why do we do this?  The
; reason is that there are a few such symbols, such as
; LAMBDA-LIST-KEYWORDS, which if bound or set could cause real
; trouble.  Rather than attempt to identify all of the specials of
; CLTL that are prohibited as ACL2 variables, we just prohibit them
; all.  One might be reminded of Alexander cutting the Gordian Knot.
; We could spend a lot of time unraveling complex questions about
; specials in CLTL or we can get on with it.  When ACL2 prevents you
; from using REST as an argument, you should see the severed end of a
; once tangled rope.

; For example, akcl and lucid (and others perhaps) allow you to define
; (defun foo (boole-c2) boole-c2) but then (foo 3) causes an error.
; Note that boole-c2 is recognized as special (by
; system::proclaimed-special-p) in lucid, but not in akcl (by
; si::specialp); in fact it's a constant in both.  Ugh.

; End of Historical Note.

  (and (symbolp name)
       (cond
        ((or (eq name t) (eq name nil))
         'constant)
        (t (let ((p (symbol-package-name name)))
             (and (not (equal p "KEYWORD"))
                  (let ((s (symbol-name name)))
                    (cond
                     ((and (not (= (length s) 0))
                           (eql (char s 0) #\*)
                           (eql (char s (1- (length s))) #\*))

; It was an oversight that a symbol with a symbol-name of "*" has always been
; considered a constant rather than a variable.  The intention was to view "*"
; as a delimiter -- thus, even "**" is probably OK for a constant since the
; empty string is delimited.  But it doesn't seem important to change this
; now.  If we do make such a change, consider the following (at least).

; - It will be necessary to update :doc defconst.

; - Fix the error message for, e.g., (defconst foo::* 17), so that it doesn't
;   say "does not begin and end with the character *".

; - Make sure the error message is correct for (defun foo (*) *).  It should
;   probably complain about the main Lisp package, not about "the syntax of a
;   constant".

                      (if (equal p *main-lisp-package-name*)
                          nil
                        'constant))
                     ((and (not (= (length s) 0))
                           (eql (char s 0) #\&))
                      nil)
                     ((equal p *main-lisp-package-name*)
                      (and (not (member-eq
                                 name
                                 *common-lisp-specials-and-constants*))
                           (member-eq
                            name
                            *common-lisp-symbols-from-main-lisp-package*)
                           'variable))
                     (t 'variable)))))))))

(defun legal-variablep (name)

; Name may be used as a variable if it has the syntax of a variable
; (see legal-variable-or-constant-namep) and does not have the syntax of
; a constant, i.e., does not start and end with a *.

  (eq (legal-variable-or-constant-namep name) 'variable))

(defun arglistp1 (lst)

; Every element of lst is a legal-variablep.

  (cond ((atom lst) (null lst))
        (t (and (legal-variablep (car lst))
                (arglistp1 (cdr lst))))))

(defun arglistp (lst)
  (and (arglistp1 lst)
       (no-duplicatesp-eq lst)))

(defun find-first-bad-arg (args)

; This function is only called when args is known to be a non-arglistp
; that is a true list.  It returns the first bad argument and a string
; that completes the phrase "... violates the rules because it ...".

  (declare (xargs :guard (and (true-listp args)
                              (not (arglistp args)))))
  (cond
   ;;((null args) (mv nil nil)) -- can't happen, given the guard!
   ((not (symbolp (car args))) (mv (car args) "is not a symbol"))
   ((legal-constantp1 (car args))
    (mv (car args) "has the syntax of a constant"))
   ((lambda-keywordp (car args))
    (mv (car args) "is a lambda keyword"))
   ((keywordp (car args))
    (mv (car args) "is in the KEYWORD package"))
   ((member-eq (car args) *common-lisp-specials-and-constants*)
    (mv (car args) "belongs to the list *common-lisp-specials-and-constants* ~
                    of symbols from the main Lisp package"))
   ((member-eq (car args) (cdr args))
    (mv (car args) "occurs more than once in the list"))
   ((and (equal (symbol-package-name (car args)) *main-lisp-package-name*)
         (not (member-eq (car args)
                         *common-lisp-symbols-from-main-lisp-package*)))
    (mv (car args) "belongs to the main Lisp package but not to the list ~
                    *common-lisp-symbols-from-main-lisp-package*"))
   (t (find-first-bad-arg (cdr args)))))

(defun process-defabbrev-declares (decls)
  (cond ((endp decls) ())

; Here we do a cheap check that the declare form is illegal.  It is tempting to
; use collect-declarations, but it take state.  Anyhow, there is no soundness
; issue; the user will just be a bit surprised when the error shows up later as
; the macro defined by the defabbrev is applied.

        ((not (and (consp (car decls))
                   (eq (caar decls) 'DECLARE)
                   (true-list-listp (cdar decls))
                   (subsetp-eq (strip-cars (cdar decls))
                               '(IGNORE IGNORABLE TYPE))))
         (er hard 'process-defabbrev-declares
             "In a DEFABBREV form, each expression after the argument list ~
              but before the body must be of the form (DECLARE decl1 .. ~
              declk), where each dcli is of the form (IGNORE ..), (IGNORABLE ~
              ..), or (TYPE ..).  The form ~x0 is thus illegal."
             (car decls)))
        (t
         (cons (kwote (car decls))
               (process-defabbrev-declares (cdr decls))))))

(defun defabbrev1 (lst)
  (declare (xargs :guard (true-listp lst)))
  (cond ((null lst) nil)
        (t (cons (list 'list (list 'quote (car lst)) (car lst))
                 (defabbrev1 (cdr lst))))))

(defmacro defabbrev (fn args &rest body)
  (cond ((null body)
         (er hard (cons 'defabbrev fn)
             "The body of this DEFABBREV form is missing."))
        ((not (true-listp args))
         (er hard (cons 'defabbrev fn)
             "The formal parameter list for a DEFABBREV must be a true list.  ~
              The argument list ~x0 is thus illegal."
             args))
        ((not (arglistp args))
         (mv-let (culprit explan)
                 (find-first-bad-arg args)
                 (er hard (cons 'defabbrev fn)
                     "The formal parameter list for a DEFABBREV must be a ~
                      list of distinct variables, but ~x0 does not meet these ~
                      conditions.  The element ~x1 ~@2."
                     args culprit explan)))
        (t
         (mv-let (doc-string-list body)
                 (if (and (stringp (car body))
                          (cdr body))
                     (mv (list (car body)) (cdr body))
                   (mv nil body))
                 (cond ((null body)
                        (er hard (cons 'defabbrev fn)
                            "This DEFABBREV form has a doc string but no ~
                             body."))
                       ((and (consp (car (last body)))
                             (eq (caar (last body)) 'declare))
                        (er hard (cons 'defabbrev fn)
                            "The body of this DEFABBREV form is a DECLARE ~
                             form, namely ~x0.  This is illegal and probably ~
                             is not what was intended."
                            (car (last body))))
                       (t
                        `(defmacro ,fn ,args
                           ,@doc-string-list
                           (list 'let
                                 (list ,@(defabbrev1 args))
                                 ,@(process-defabbrev-declares
                                    (butlast body 1))
                                 ',(car (last body))))))))))

; Essay on Evisceration

; We have designed the pretty printer so that it can print an
; "eviscerated" object, that is, an object that has had certain
; substructures removed.  We discuss the prettyprinter in the Essay on
; the ACL2 Prettyprinter.  The pretty printer has a flag, eviscp,
; which indicates whether the object has been eviscerated or not.  If
; not, then the full object is printed as it stands.  If so, then
; certain substructures of it are given special interpretation by the
; printer.  In particular, when the printer encounters a cons of the
; form (:evisceration-mark . x) then x is a string and the cons is
; printed by printing the characters in x (without the double
; gritches).

;     object                            pretty printed output
; (:evisceration-mark . "#")                     #
; (:evisceration-mark . "...")                   ...
; (:evisceration-mark . "<state>")               <state>
; (:evisceration-mark . ":EVISCERATION-MARK")    :EVISCERATION-MARK

; So suppose you have some object and you want to print it, implementing
; the CLTL conventions for *print-level* and *print-length*.  Then you
; must first scan it, inserting :evisceration-mark forms where
; appropriate.  But what if it contains some occurrences of
; :evisceration-mark?  Then you must use evisceration mechanism to print
; them correctly!  Once you have properly eviscerated the object, you can
; call the prettyprinter on it, telling it that the object has been
; eviscerated.  If, on the other hand, you don't want to eviscerate it,
; then you needn't sweep it to protect the native :evisceration-marks:
; just call the prettyprinter with the eviscp flag off.

(defconst *evisceration-mark* :evisceration-mark)

; Note: It is important that the evisceration-mark be a keyword.
; One reason is that (:evisceration-mark . ":EVISCERATION-MARK")
; couldn't be used to print a non-keyword because the package might
; need to be printed.  Another is that we exploit the fact that no
; event name nor any formal is *evisceration-mark*.  See
; print-ldd-full-or-sketch.  Furthermore, if the particular keyword
; chosen is changed, alter *anti-evisceration-mark* below!

(defconst *evisceration-hash-mark* (cons *evisceration-mark* "#"))
(defconst *evisceration-ellipsis-mark* (cons *evisceration-mark* "..."))
(defconst *evisceration-world-mark*
  (cons *evisceration-mark* "<world>"))
(defconst *evisceration-state-mark*
  (cons *evisceration-mark* "<state>"))
(defconst *evisceration-error-triple-marks*
  (list nil nil *evisceration-state-mark*))
(defconst *evisceration-hiding-mark*
  (cons *evisceration-mark* "<hidden>"))

(defconst *anti-evisceration-mark*
  (cons *evisceration-mark* ":EVISCERATION-MARK"))

(defmacro evisceratedp (eviscp x)
; Warning:  The value of x should be a consp.
  `(and ,eviscp (eq (car ,x) *evisceration-mark*)))

; Essay on Iprinting

; Through Version_3.4, when ACL2 eviscerated a form using a print-level or
; print-length from an evisc-tuple, the resulting # and ... made it impossible
; to read the form back in.  We have implemented "iprinting" (think
; "interactive printing") to deal with this problem.  Our implementation uses
; an "iprint array", or "iprint-ar" for short, as described below.  Now, when
; iprinting is enabled, then instead of # or ... we will see #@i# for i = 1, 2,
; etc.  See :doc set-iprint for more information at the user level.  In brief,
; the idea is to maintain a state global 'iprint-ar whose value is an ACL2
; array that associates each such i with its hidden value.  (This use of #@i#
; allows us also to think of "iprinting" as standing for "index printing" or "i
; printing".)

; We implement this idea by modifying the recursive subroutines of eviscerate
; to accumulate each association of a positive i with its hidden value. When
; fmt (or fms, etc.) is called, eviscerate-top or eviscerate-stobjs-top will be
; called in order to update the existing 'iprint-ar with those new
; associations.

; We use index 0 to store the most recent i for which #@i# has been printed,
; assuming iprinting is enabled, or else (list i) if iprinting is disabled.  We
; call such i the last-index, and it is initially 0.  Note that state global
; 'iprint-ar is thus always bound to an installed ACL2 array.

; When state global 'iprint-fal has a non-nil value (which is exactly when
; set-iprint was last called with a non-nil value of :share), it is a
; fast-alist that inverts iprint-ar in the following sense: for every pair (i
; . v) in iprint-ar with 1 <= i <= last-index, (v . i) is in the value of
; 'iprint-fal.  See :doc set-iprint for more about :share.

; We have to face a fundamental question: Do we use acons or aset1 as we
; encounter a new form to assign to some #@i# during those recursive
; subroutines?  The latter is dangerous in case we interrupt before installing
; the result in the state global.  So it's tempting to use acons -- but it
; could be inefficient to compress the iprint-ar on each top-level call.  So
; instead we use acons to build up a new alist from scratch.  Then at the
; top level, we apply aset1 for each entry if we can do so without needing to
; ``rollover'', i.e., set the last-index back to 0; otherwise we call compress1
; rather than making a series of aset1 calls.  With luck this final step will
; be fast and unlikely to be interrupted from the time the first aset1 or
; compress1 is applied until the state global 'iprint-ar is updated.

; Let's also comment on why we have a soft and a hard bound (as described in
; :doc set-iprint).  In general we allow indices to increase between successive
; top-level invocations, so that the user can read back in any forms that were
; printed. But the soft bound forces a rollover at the top level of LD when the
; last-index exceeds that bound, so that we don't hold on to a potentially
; unbounded amount of space for the objects in the iprint-ar. The hard bound
; (which generally exceeds the soft bound) steps in if the last-index exceeds
; it after pretty-printing a single form.  Thus, if there are large objects and
; very long runs between successive top-level forms, space can be
; reclaimed. The hard bound is therefore probably less likely to be of use.

; We maintain the invariant that the dimension of state global 'iprint-ar
; exceeds the hard bound.  Thus, when we update the 'iprint-ar in the normal
; case that the hard bound is not exceeded, then the dimension will not be
; exceeded either; that is, every update will be with an index that is in
; bounds.  In order to maintain this invariant, the hard bound is untouchable,
; and its setter function compresses the global iprint-ar with a new dimension
; that exceeds the specified hard bound.  Therefore the hard bound must be a
; number, not nil.  Notice that with this invariant, we can avoid compressing
; twice when we roll over upon exceeding the hard or soft bound: we first reset
; the last-index to 0 and then do the compression, rather than compressing once
; for the increased dimension and once for the rollover.

; We also maintain the invariant that the maximum-length of the 'iprint-ar is
; always at least four times its dimension.  See the comment about this in
; rollover-iprint-ar.

; It is tempting to cause an error when the user submits a form containing some
; #@j# and #@k# such that j <= last-index < k.  In such a case, k is from
; before the rollover and j is from after the rollover, so these couldn't have
; been stored during a prettyprint of the same form.  By default we avoid this
; restriction, because the user might want to read a list that includes some
; forms prettyprinted before the last rollover and other forms printed after
; the last rollover.  But if iprint sharing is on, then a subform that had been
; printed before rollover might include iprint indices that have since changed,
; which might be highly confusing.  So we make the above restriction on indices
; when iprint sharing is on, as documented in :doc set-iprint.

; We need to be sure that the global iprint-ar is installed as an ACL2 array, in
; order to avoid slow-array-warnings.  See the comment in
; push-wormhole-undo-formi for how we deal with this issue in the presence of
; wormholes.

; End of Essay on Iprinting

(defconst *sharp-atsign-ar* ; see get-sharp-atsign
  (let ((dim (1+ *iprint-hard-bound-default*)))
    (compress1
     'sharp-atsign-ar
     (cons `(:HEADER :DIMENSIONS     (,dim)
                     :MAXIMUM-LENGTH ,(1+ dim) ; no duplicates expected
                     :NAME           sharp-atsign-ar)
           (sharp-atsign-alist *iprint-hard-bound-default* nil)))))

(defun get-sharp-atsign (i)

; If i is below the hard bound, then we get the string #@i# from a fixed array,
; so that we don't have to keep consing up that string.

  (declare (xargs :guard (posp i)))
  (cond ((<= i *iprint-hard-bound-default*)
         (aref1 'sharp-atsign-ar *sharp-atsign-ar* i))
        (t (make-sharp-atsign i))))

(defun update-iprint-alist-fal (iprint-alist iprint-fal-new iprint-fal-old val)

; We are doing iprinting.  Iprint-alist is either a positive integer,
; representing the last-index but no accumulated iprint-alist, or else is a
; non-empty alist of entries (i . val_i).  See the Essay on Iprinting.

  (let ((pair (and iprint-fal-old
                   (or (hons-get val iprint-fal-new)
                       (hons-get val iprint-fal-old)))))
    (cond (pair
           (mv (cdr pair) iprint-alist iprint-fal-new))
          ((consp iprint-alist)
           (let ((index (1+ (caar iprint-alist))))
             (mv index
                 (acons index val iprint-alist)
                 (and iprint-fal-old
                      (hons-acons val index iprint-fal-new)))))
          (t
           (let ((index (1+ iprint-alist)))
             (mv index
                 (acons index val nil)
                 (and iprint-fal-old
                      (hons-acons val index iprint-fal-new))))))))

; We now define the most elementary eviscerator, the one that implements
; *print-level* and *print-length*.  In this same pass we also arrange to
; hide any object in alist, where alist pairs objects with their
; evisceration strings -- or if not a string, with the appropriate
; evisceration pair.

(mutual-recursion

(defun eviscerate1 (x v max-v max-n alist evisc-table hiding-cars
                      iprint-alist iprint-fal-new iprint-fal-old eager-p)

; Iprint-alist is either a symbol, indicating that we are not doing iprinting; a
; positive integer, representing the last-index but no accumulated iprint-alist;
; or an accumulated alist of entries (i . val_i).  See the Essay on Iprinting.
; Note that if iprint-alist is a symbol, then it is nil if no evisceration has
; been done based on print-length or print-level, else t.

; If iprint-fal-old is nil (i.e., if iprinting is off), then eager-p is
; essentially irrelevant; but as a sanity check, we insist that eager-p is nil
; in that case (as enforced by the assert$ call below).

  (let* ((temp (or (hons-assoc-equal x alist)
                   (hons-assoc-equal x evisc-table)))
         (eager-pair (and eager-p
                          (null (cdr temp))
                          (consp x)
                          (assert$
                           iprint-fal-old
                           (or (hons-get x iprint-fal-new)
                               (hons-get x iprint-fal-old))))))
    (cond ((cdr temp)
           (mv (cond ((stringp (cdr temp))
                      (cons *evisceration-mark* (cdr temp)))
                     (t (cdr temp)))
               iprint-alist
               iprint-fal-new))
          ((atom x)
           (mv (cond ((eq x *evisceration-mark*) *anti-evisceration-mark*)
                     (t x))
               iprint-alist
               iprint-fal-new))
          (eager-pair
           (mv (cons *evisceration-mark*
                     (get-sharp-atsign (cdr eager-pair)))
               iprint-alist
               iprint-fal-new))
          ((= v max-v)
           (cond ((symbolp iprint-alist)
                  (mv *evisceration-hash-mark* t iprint-fal-new))
                 (t
                  (mv-let (index iprint-alist iprint-fal-new)
                    (update-iprint-alist-fal iprint-alist
                                             iprint-fal-new
                                             iprint-fal-old
                                             x)
                    (mv (cons *evisceration-mark*
                              (get-sharp-atsign index))
                        iprint-alist
                        iprint-fal-new)))))
          ((member-eq (car x) hiding-cars)
           (mv *evisceration-hiding-mark* iprint-alist iprint-fal-new))
          (t (eviscerate1-lst x (1+ v) 0 max-v max-n alist evisc-table
                              hiding-cars iprint-alist
                              iprint-fal-new iprint-fal-old eager-p)))))

(defun eviscerate1-lst (lst v n max-v max-n alist evisc-table hiding-cars
                            iprint-alist iprint-fal-new iprint-fal-old eager-p)
  (let* ((temp (or (hons-assoc-equal lst alist)
                   (hons-assoc-equal lst evisc-table)))
         (eager-pair (and eager-p
                          (null (cdr temp))
                          (consp lst)
                          (assert$
                           iprint-fal-old
                           (or (hons-get lst iprint-fal-new)
                               (hons-get lst iprint-fal-old))))))
    (cond
     ((cdr temp)
      (mv (cond ((stringp (cdr temp))
                 (cons *evisceration-mark* (cdr temp)))
                (t (cdr temp)))
          iprint-alist
          iprint-fal-new))
     ((atom lst)
      (mv (cond ((eq lst *evisceration-mark*) *anti-evisceration-mark*)
                (t lst))
          iprint-alist
          iprint-fal-new))
     (eager-pair
      (mv (cons *evisceration-mark*
                (get-sharp-atsign (cdr eager-pair)))
          iprint-alist
          iprint-fal-new))
     ((= n max-n)
      (cond ((symbolp iprint-alist)
             (mv (list *evisceration-ellipsis-mark*) t iprint-fal-new))
            (t (mv-let (index iprint-alist iprint-fal-new)
                 (update-iprint-alist-fal iprint-alist
                                          iprint-fal-new
                                          iprint-fal-old
                                          lst)
                 (mv (cons *evisceration-mark*
                           (get-sharp-atsign index))
                     iprint-alist
                     iprint-fal-new)))))
     (t (mv-let (first iprint-alist iprint-fal-new)
          (eviscerate1 (car lst) v max-v max-n alist evisc-table
                       hiding-cars iprint-alist
                       iprint-fal-new iprint-fal-old eager-p)
          (mv-let (rest iprint-alist iprint-fal-new)
            (eviscerate1-lst (cdr lst) v (1+ n)
                             max-v max-n alist evisc-table
                             hiding-cars iprint-alist
                             iprint-fal-new iprint-fal-old eager-p)
            (mv (cons first rest) iprint-alist iprint-fal-new)))))))
)

(mutual-recursion

(defun eviscerate1p (x alist evisc-table hiding-cars)

; This function returns t iff (eviscerate1 x 0 -1 -1 alist evisc-table hidep)
; returns something other than x.  That is, iff the evisceration of x either
; uses alist, evisc-table, hiding or the *anti-evisceration-mark* (assuming
; that print-level and print-length never max out).

  (let ((temp (or (hons-assoc-equal x alist)
                  (hons-assoc-equal x evisc-table))))
    (cond ((cdr temp) t)
          ((atom x)
           (cond ((eq x *evisceration-mark*) t)
                 (t nil)))
          ((member-eq (car x) hiding-cars) t)
          (t (eviscerate1p-lst x alist evisc-table hiding-cars)))))

(defun eviscerate1p-lst (lst alist evisc-table hiding-cars)
  (let ((temp (or (hons-assoc-equal lst alist)
                  (hons-assoc-equal lst evisc-table))))
    (cond ((cdr temp) t)
          ((atom lst)
           (cond ((eq lst *evisceration-mark*) t)
                 (t nil)))
          (t (or (eviscerate1p (car lst) alist evisc-table hiding-cars)
                 (eviscerate1p-lst (cdr lst) alist evisc-table
                                   hiding-cars))))))
)

(defun eviscerate (x print-level print-length alist evisc-table hiding-cars
                     iprint-alist iprint-fal-new iprint-fal-old eager-p)

; See also eviscerate-top, which takes iprint-ar from the state and installs a
; new iprint-ar in the state, and update-iprint-alist, which describes the role
; of a non-symbol iprint-alist as per the Essay on Iprinting.

; Print-level and print-length should either be non-negative integers or nil.
; Alist and evisc-table are alists pairing arbitrary objects to strings or
; other objects.  Hiding-cars is a list of symbols.  Any x that starts with one
; of these symbols is printed as <hidden>.  If alist or evisc-table pairs an
; object with a string, the string is printed in place of the object.  If alist
; or evisc-table pairs an object with anything else, x, then x is substituted
; for the the object and is treated as eviscerated.  In general, alist will
; come from an evisceration tuple and evisc-table will be the value of the
; 'evisc-table table in the current ACL2 world.  We give priority to the former
; because the user may want to override the evisc-table, for example using ~P
; in a call of fmt.

; This function copies the structure x and replaces certain deep substructures
; with evisceration marks.  The determination of which substructures to so
; abbreviate is based on the same algorithm used to define *print-level* and
; *print-length* in CLTL, with the additional identification of all occurrences
; of any object in alist or evisc-table.

; For example, if x is '(if (member x y) (+ (car x) 3) '(foo . b)) and
; print-level is 2 and print-length is 3 then the output is:

; (IF (MEMBER X Y)
;     (+ (*evisceration-mark* . "#") 3)
;     (*evisceration-mark* . "..."))

; See pg 373 of CLTL.

; Of course we are supposed to print this as:

; (IF (MEMBER X Y) (+ # 3) ...)

; We consider a couple of special cases to reduce unnecessary consing
; of eviscerated values.

  (cond ((and (null print-level)
              (null print-length))

; Warning: Observe that even if alist is nil, x might contain the
; *evisceration-mark* or hiding expressions and hence have a
; non-trivial evisceration

         (cond ((eviscerate1p x alist evisc-table hiding-cars)
                (eviscerate1 x 0 -1 -1 alist evisc-table hiding-cars

; Since we are not eviscerating based on print-level or print-length, there is
; no involvement of iprinting, so we pass nil for the remaining arguments.

                             nil nil nil nil))
               (t (mv x iprint-alist iprint-fal-new))))
        (t (eviscerate1 (if eager-p (hons-copy x) x)
                        0
                        (or print-level -1)
                        (or print-length -1)
                        alist
                        evisc-table
                        hiding-cars
                        iprint-alist
                        iprint-fal-new
                        iprint-fal-old
                        eager-p))))

(defun eviscerate-simple (x print-level print-length alist evisc-table
                            hiding-cars)

; This wrapper for eviscerate avoids the need to pass back multiple values when
; the iprint-alist is nil and we don't care if evisceration has occurred.

  (mv-let (result null-iprint-alist null-iprint-fal)
    (eviscerate x print-level print-length alist evisc-table hiding-cars
                nil nil

; We normally pass in the current value of state global 'iprint-fal for the
; last argument, iprint-fal-old, of eviscerate.  However, since iprint-alist is
; nil, we know that it's fine to pass in nil for iprint-fal-old, and similarly
; for eager-p.

                nil nil)
    (assert$ (and (booleanp null-iprint-alist)
                  (null null-iprint-fal))
             result)))

(defun aset1-lst (name alist ar)
  (declare (xargs :guard (eqlable-alistp alist))) ; really nat-alistp
  (cond ((endp alist)
         ar)
        (t (aset1-lst name
                      (cdr alist)
                      (aset1 name ar (caar alist) (cdar alist))))))

; Next we define accessors for iprint arrays.

(defun iprint-hard-bound (state)
  (f-get-global 'iprint-hard-bound state))

(defun iprint-soft-bound (state)
  (f-get-global 'iprint-soft-bound state))

(defun iprint-last-index* (iprint-ar)
  (declare (xargs :guard (array1p 'iprint-ar iprint-ar)))
  (let ((x (aref1 'iprint-ar iprint-ar 0)))
    (if (consp x) ; iprinting is disabled
        (car x)
      x)))

(defun iprint-last-index (state)
  (iprint-last-index* (f-get-global 'iprint-ar state)))

(defun iprint-ar-illegal-index (index state)
  (declare (xargs :guard (and (natp index) (state-p state))))
  (or (zp index)
      (let* ((iprint-ar (f-get-global 'iprint-ar state))
             (bound (default 'iprint-ar iprint-ar)))
        (if (null bound)
            (> index (iprint-last-index* iprint-ar))
          (> index bound)))))

(defun iprint-enabledp (state)
  (natp (aref1 'iprint-ar (f-get-global 'iprint-ar state) 0)))

(defun iprint-ar-aref1 (index state)

; We do not try to determine if the index is appropriate, other than to avoid a
; guard violation on the aref1 call.  See the Essay on Iprinting.

  (declare (xargs :guard (and (posp index) (state-p state))))
  (let ((iprint-ar (f-get-global 'iprint-ar state)))

;; PAPER:
; We use a raw Lisp error since otherwise we get an error such as "Can't throw
; to tag RAW-EV-FNCALL".

    #-acl2-loop-only
    (cond ((>= index (car (dimensions 'iprint-ar iprint-ar)))

; The following error probably never occurs, since we have already done a
; bounds check with iprint-ar-illegal-index.

           (error
            "Out of range index for iprinting: ~s.~%See :DOC set-iprint."
            index)))
    (aref1 'iprint-ar iprint-ar index)))

(defun collect-posp-indices-to-header (ar acc)

; Accumulates the reverse of ar onto acc, skipping entries with index 0 and
; stopping just before the :header.

  (cond ((endp ar)
         (er hard 'collect-posp-indices-to-header
             "Implementation error: Failed to find :HEADER as expected!"))
        ((eq (caar ar) :HEADER)
         acc)
        (t
         (collect-posp-indices-to-header (cdr ar)
                                         (if (eql (caar ar) 0)
                                             acc
                                           (cons (car ar) acc))))))

(defun iprint-fal-name (iprint-fal)
  (if (consp iprint-fal)
      (cdr (last iprint-fal))
    iprint-fal))

(defun iprint-eager-p (iprint-fal)
  (eq (iprint-fal-name iprint-fal)
      :eager))

(defun init-iprint-fal (sym state)

; Warning: Consider also calling init-iprint-ar when calling this function.

; The initial value of state global 'iprint-fal is nil if we are not to re-use
; indices, and otherwise is the atom, :iprint-fal.  We choose a keyword so that
; fast-alist-summary can print that name nicely in any package.

  (declare (xargs :guard (symbolp sym)))
  (let* ((old-iprint-fal (f-get-global 'iprint-fal state))
         (old-iprint-name (iprint-fal-name old-iprint-fal))
         (new-iprint-fal (cond ((null sym) nil)
                               ((eq sym t)
                                :iprint-fal)
                               ((eq sym :same)
                                old-iprint-name)
                               (t sym))))
    (prog2$ (and (consp old-iprint-fal) ; optimization
                 (fast-alist-free old-iprint-fal))
            (pprogn (f-put-global 'iprint-fal new-iprint-fal state)
                    (mv (cond
                         ((eq old-iprint-name new-iprint-fal)
                          nil)
                         (new-iprint-fal
                          (msg "Iprinting is enabled with~@0 sharing, with a ~
                                fast-alist whose name is ~x1."
                               (if (iprint-eager-p new-iprint-fal)
                                   " eager"
                                 "")
                               new-iprint-fal))
                         (t
                          (msg "Iprinting is enabled without sharing.")))
                        state)))))

(defun rollover-iprint-ar (iprint-alist last-index state)

; We assume that iprinting is enabled.  Install a new iprint-ar, whose last
; index before rollover is intended to be last-index and whose alist is
; intended to extend state global 'iprint-ar, as the new (and compressed) value
; of state global 'iprint-ar.

  (let* ((old-iprint-ar (f-get-global 'iprint-ar state))
         (new-dim

; Clearly last-index exceeds the iprint-hard-bound, as required by one of our
; invariants (see the Essay on Iprinting), if we are rolling over because
; last-index exceeds that hard bound.  But we can also call rollover-iprint-ar
; when exceeding the soft bound, which may be smaller than the hard bound (it
; probably is smaller, typically).  The taking of this max is cheap so we
; always do it, so that rollover-iprint-ar will always preserve the above
; invariant.

; To illustrate the above point, evaluate the following forms in a fresh ACL2
; session and see the error if we bind new-dim to (1+ last-index).

; (set-ld-evisc-tuple (evisc-tuple 2 3 nil nil) state)
; (set-iprint t :soft-bound 2 :hard-bound 7)
; '((a b c d e) (a b c d e) (a b c d e))
; '((a b c d e) (a b c d e) (a b c d e) (a b c d e) (a b c d e))

          (1+ (max (iprint-hard-bound state) last-index)))
         (new-max-len

; A multiplier of 4 allows us to maintain the invariant that the maximum-length
; is always at least four times the dimension.  This guarantees that the
; 'iprint-ar alist never reaches the maximum-length because it never reaches
; 4*d, where d is the dimension, as this alist has at most:
; - up to d-2 values for index >= 1 since the latest rollover;
; - up to d-2 values for index >= 1 before the latest rollover;
; - at most two headers (the 2nd is just before a new compression at rollover)
; - no two successive bindings of index 0
; So without considering index 0, the maximum is (d-2 + d-2 + 2) = 2d-1.  Now
; for the bindings of index 0, double that and add one to get 4d-1.

; Thus, since the dimension never decreases (except when we reinitialize), we
; are assured that our use of aset1-lst in update-iprint-ar will never cause a
; recompression.  See also corresponding comments in disable-iprint-ar and
; enable-iprint-ar.

          (* 4 new-dim))
         (new-header
          (prog2$
           (or (<= new-max-len *maximum-positive-32-bit-integer*)
               (er hard 'rollover-iprint-ar
                   "Attempted to expand iprint-ar to a maximum-length of ~x0, ~
                    exceeding *maximum-positive-32-bit-integer*, which is ~x1."
                   new-max-len
                   *maximum-positive-32-bit-integer*))
           `(:HEADER :DIMENSIONS     (,new-dim)
                     :MAXIMUM-LENGTH ,new-max-len
                     :DEFAULT        ,last-index
                     :NAME           iprint-ar
                     :ORDER          :none)))
         (new-iprint-ar
          (compress1 'iprint-ar
                     (cons new-header
                           (acons 0 0
                                  (collect-posp-indices-to-header
                                   old-iprint-ar

; If we change the :order to < from :none, then we need to reverse iprint-alist
; just below.  But first read the comment in disable-iprint-ar to see why
; changing the :order from :none requires some thought.

                                   iprint-alist))))))
    (mv-let (msg state)
      (init-iprint-fal :same state)
      (declare (ignore msg))
      (f-put-global 'iprint-ar new-iprint-ar state))))

(defun update-iprint-fal-rec (iprint-fal-new iprint-fal-old)
  (cond ((atom iprint-fal-new) iprint-fal-old)
        (t (update-iprint-fal-rec (cdr iprint-fal-new)
                                  (hons-acons (caar iprint-fal-new)
                                              (cdar iprint-fal-new)
                                              iprint-fal-old)))))

(defun update-iprint-fal (iprint-fal-new state)
  (cond
   ((atom iprint-fal-new) state) ; optimization
   (t (f-put-global 'iprint-fal
                    (update-iprint-fal-rec iprint-fal-new
                                           (f-get-global 'iprint-fal state))
                    state))))

(defun update-iprint-ar-fal (iprint-alist iprint-fal-new iprint-fal-old state)

; We assume that iprinting is enabled.  Iprint-alist is known to be a consp.
; We update state globals 'iprint-ar and 'iprint-fal by updating them with the
; pairs in iprint-alist and iprint-fal-new, respectively.

  (let ((last-index (caar iprint-alist)))
    (cond ((> last-index (iprint-hard-bound state))

; We throw away iprint-fal-new, because we only want to re-use indices below
; last-index -- re-use of larger indices could quickly leave us pointing to
; stale values when re-printing (say, using without-evisc) recently-printed
; values.

           (rollover-iprint-ar iprint-alist last-index state))
          (t
           (assert$
            (or (null iprint-fal-old) ; might have passed in nil at top level
                (equal (f-get-global 'iprint-fal state)
                       iprint-fal-old))
            (pprogn
             (update-iprint-fal iprint-fal-new state)
             (f-put-global 'iprint-ar

; We know last-index <= (iprint-hard-bound state), and it is an invariant that
; this hard bound is less than the dimension of (@ iprint-ar).  See the
; discussion of this invariant in the Essay on Iprinting.  So last-index is
; less than that dimension, hence we can update with aset1 without encountering
; out-of-bounds indices.

                           (aset1-lst 'iprint-ar
                                      (acons 0 last-index iprint-alist)
                                      (f-get-global 'iprint-ar state))
                           state)))))))

(defun eviscerate-top (x print-level print-length alist evisc-table hiding-cars
                         state)

; We take iprint-ar from the state and then install a new iprint-ar in the state,
; in addition to returning the evisceration of x.  See eviscerate and the Essay
; on Iprinting for more details.

  (let ((iprint-fal-old (f-get-global 'iprint-fal state)))
    (mv-let (result iprint-alist iprint-fal-new)
      (eviscerate x print-level print-length alist evisc-table hiding-cars
                  (and (iprint-enabledp state)
                       (iprint-last-index state))
                  nil iprint-fal-old (iprint-eager-p iprint-fal-old))
      (fast-alist-free-on-exit
       iprint-fal-new
       (let ((state
              (cond
               ((eq iprint-alist t)
                (f-put-global 'evisc-hitp-without-iprint t state))
               ((atom iprint-alist) state)
               (t (update-iprint-ar-fal iprint-alist
                                        iprint-fal-new
                                        iprint-fal-old
                                        state)))))
         (mv result state))))))

; Essay on the ACL2 Prettyprinter

; The ACL2 prettyprinter is a two pass, linear time, exact prettyprinter.  By
; "exact" we mean that if it has a page of width w and a big enough form, it
; will guarantee to use all the columns, i.e., the widest line will end in
; column w.  The algorithm dates from about 1971 -- virtually the same code was
; in the earliest Edinburgh Pure Lisp Theorem Prover.  This approach to
; prettyprinting was invented by Bob Boyer; see
; http://www.cs.utexas.edu/~boyer/pretty-print.pdf.  Most prettyprinters are
; quadratic and inexact.

; The secret to this method is to make two linear passes, ppr1 and ppr2.  The
; first pass builds a data structure, called a ``ppr tuple,'' that tells the
; second pass how to print.

; Some additional general principles of our prettyprinter are
; (i)    Print flat whenever possible.

; (ii)   However, don't print flat argument lists of length over 40; they're
;        too hard to parse.  (But this can be overridden by state global
;        ppr-flat-right-margin.)

; (iii)  Atoms and eviscerated things (which print like atoms, e.g., `<world>')
;        may be printed on a single line.

; (iv)   But parenthesized expressions should not be printed on a line with any
;        other argument (unless the whole form fits on the line).  Thus we may
;        produce:
;        `(foo (bar a) b c d)'
;        and
;        `(foo a b
;              c d)'
;        But we never produce
;        `(foo (bar a) b
;              c d)'
;        preferring instead
;        `(foo (bar a)
;              b c d)'
;        It is our belief that parenthesized expressions are hard to parse and
;        after doing so the eye tends to miss little atoms (like b above)
;        hiding in their shadows.

; To play with ppr we recommend executing this form:

; (ppr2 (ppr1 x (print-base) (print-radix) 30 0 state t)
;       0 *standard-co* state t)

; This will prettyprint x on a page of width 30, assuming that printing starts
; in column 0.  To see the ppr tuple that drives the printer, just evaluate the
; inner ppr1 form,
; (ppr1 x (print-base) (print-radix) 30 0 state nil).

; The following test macro is handy.  A typical call of the macro is

; (test 15 (foo (bar x) (mum :key1 val1 :key2 :val2)))

; Note that x is not evaluated.  If you want to evaluate x and ppr the value,
; use

;   (testfn 10
;           (eviscerate-simple `(foo (bar x)
;                             (mum :key1 :val1 :key2 :val2)
;                             ',(w state))
;                       nil nil ; print-level and print-length
;                       (world-evisceration-alist state nil)
;                       nil
;                       nil)
;           state)

; Note that x may be eviscerated, i.e., eviscerated objects in x are printed in
; their short form, not literally.

;   (defun testfn (d x state)
;     (declare (xargs :mode :program :stobjs (state)))
;     (let ((tuple (ppr1 x (print-base) (print-radix) d 0 state t)))
;       (pprogn
;        (fms "~%Tuple: ~x0~%Output:~%" (list (cons #\0 tuple))
;             *standard-co* state nil)
;        (ppr2 tuple 0 *standard-co* state t)
;        (fms "~%" nil *standard-co* state nil))))
;
;   (defmacro test (d x)

; Ppr tuples record enough information about the widths of various forms so
; that it can be computed without having to recompute any part of it and so
; that the second pass can print without having to count characters.

; A ppr tuple has the form (token n . z).  In the display below, the variables
; ti represent ppr tuples and the variables xi represent objects to be printed
; directly.  Any xi could an eviscerated object, a list whose car is the
; evisceration mark.

; (FLAT n x1 ... xk) - Print the xi, separated by spaces, all on one
;                      line. The total width of output will be n.
;                      Note that k >= 1.  Note also that such a FLAT
;                      represents k objects.  A special case is (FLAT
;                      n x1), which represents one object.  We make
;                      this observation because sometimes (in
;                      cons-ppr1) we `just know' that k=1 and the
;                      reason is: we know the FLAT we're holding
;                      represents a single object.

; (FLAT n x1... . xk)- Print the xi, separated by spaces, with xk
;                      separated by `. ', all on one line.  Here xk
;                      is at atom or an eviscerated object.

; (FLAT n . xk)      - Here, xk is an atom (or an eviscerated object).
;                      Print a dot, a space, and xk.  The width will
;                      be n.  Note that this FLAT does not actually
;                      represent an object.  That is, no Lisp object
;                      prints as `. xk'.

; Note: All three forms of FLAT are really just (FLAT n . x) where x is a
; possibly improper list and the elements of x (and its final cdr) are printed,
; separated appropriately by spaces or dot.

; (MATCHED-KEYWORD n x1)
;                    - Exactly like (FLAT n x1), i.e., prints x1,
;                      but by virtue of being different from FLAT
;                      no other xi's are ever added.  In this tuple,
;                      x1 is always a keyword and it will appear on
;                      a line by itself.  Its associated value will
;                      appear below it in the column because we tried
;                      to put them on the same line but we did not have
;                      room.

; (DOT 1)            - Print a dot.

; (QUOTE n . t1)     - Print a single-quote followed by pretty-
;                      printing the ppr tuple t1.

; (WIDE n t1 t2 ...) - Here, t1 is a FLAT tuple of width j.  We
;                      print an open paren, the contents of t1, a
;                      space, and then we prettyprint each of the
;                      remaining ti in a column.  When we're done, we
;                      print a close paren.  The width of the longest
;                      line we will print is n.

; (i n t1 ...)       - We print an open paren, prettyprint t1, then
;                      do a newline.  Then we prettyprint the
;                      remaining ti in the column that is i to the
;                      right of the paren.  We conclude with a close
;                      paren.  The width of the longest line we will
;                      print is n.  We call this an `indent tuple'.

; (KEYPAIR n t1 . t2)- Here, t1 is a FLAT tuple of width j.  We print
;                      t1, a space, and then prettyprint t2.  The
;                      length of the longest line we will print is n.

; The sentences "The length of the longest line we will print is n."
; bears explanation.  Consider

; (FOO (BAR X)
;      (MUMBLE Y)
;      Z)
;|<- 15 chars  ->|
; 123456789012345

; The length of the longest line, n, is 15.  That is, the length of the longest
; line counts the spaces from the start of the printing.  In the case of a
; KEYPAIR tuple:

; :KEY (FOO
;       (BAR X)
;       Y)
;|<- 13      ->|

; we count the spaces from the beginning of the keyword.  That is, we consider
; the whole block of text.

; Below we print test-term in two different widths, and display the ppr tuple
; that drives each of the two printings.

; (assign test-term
;         '(FFF (GGG (HHH (QUOTE (A . B))))
;               (III YYY ZZZ)))
;
;
; (ppr2 (ppr1 (@ test-term) (print-base) (print-radix) 30 0 state nil) 0
;       *standard-co* state nil)
; ; =>
; (FFF (GGG (HHH '(A . B)))          (WIDE 25 (FLAT 3 FFF)
;      (III YYY ZZZ))                         (FLAT 20 (GGG (HHH '(A . B))))
;                                             (FLAT 14 (III YYY ZZZ)))
; <-          25         ->|
;
; (ppr2 (ppr1 (@ test-term) (print-base) (print-radix) 20 0 state nil) 0
;       *standard-co* state nil)
; ; =>
; (FFF                               (1 20 (FLAT 3 FFF)
;  (GGG                                    (4 19 (FLAT 3 GGG)
;      (HHH '(A . B)))                           (FLAT 15 (HHH '(A . B))))
;  (III YYY ZZZ))                          (FLAT 14 (III YYY ZZZ)))
;
; <-       20       ->|

; The function cons-ppr1, below, is the first interesting function in the nest.
; We want to build a tuple to print a given list form, like a function call.
; We basically get the tuple for the car and a list of tuples for the cdr and
; then use cons-ppr1 to combine them.  The resulting list of tuples will be
; embedded in either a WIDE or an indent tuple.  Thus, this list of tuples we
; will create describes a column of forms.  The number of items in that column
; is not necessarily the same as the number of arguments of the function call.
; For example, the term (f a b c) might be prettyprinted as
; (f a
;    b c)
; where b and c are printed flat on a single line.  Thus, the three arguments
; of f end up being described by a list of two tuples, one for a and another
; for b and c.

; To form lists of tuples we just use cons-ppr1 to combine the tuples we get
; for each element.

; Let x and lst be, respectively, a ppr tuple for an element and a list of
; tuples for list of elements.  Think of lst as describing a column of forms.
; Either x can become another item that column, or else x can be incorporated
; into the first item in that column.  For example, suppose x will print as X
; and lst will print as a column containing y1, y2, etc.  Then we have this
; choice for printing x and lst:

; lengthened column          lengthened first row
; x                          x y1
; y1                         y2
; ...                        ...

; We get the `lengthened column' behavior if we just cons x onto lst.  We get
; the `lengthened row' behavior if we merge the tuples for x and y1.  But we
; only merge if they both print flat.

; Now we lay down some macros that help with the efficiency of the FMT
; functions, by making it easy to declare various formals and function values
; to be fixnums.  See the Essay on Fixnum Declarations.

(defmacro mv-letc (vars form body)
  `(mv-let ,vars ,form
           (declare (type (signed-byte 30) col))
           ,body))

(defmacro er-hard-val (val &rest args)

; Use (er-hard-val val ctx str ...) instead of (er hard? ctx str ...)
; when there is an expectation on the return type, which should be the
; type of val.  Compilation with the cmulisp compiler produces many
; warnings if we do not use some such device.

  `(prog2$ (er hard? ,@args)
           ,val))

(defmacro the-fixnum! (n ctx)

; See also the-half-fixnum!.

  (let ((upper-bound (fixnum-bound)))
    (declare (type (signed-byte 30) upper-bound))
    (let ((lower-bound (- (1+ upper-bound))))
      (declare (type (signed-byte 30) lower-bound))
      `(the-fixnum
        (let ((n ,n))
          (if (and (<= n ,upper-bound)
                   (>= n ,lower-bound))
              n
            (er-hard-val 0 ,ctx
                         "The object ~x0 is not a fixnum ~
                          (precisely:  not a (signed-byte 30))."
                         n)))))))

(defmacro the-half-fixnum! (n ctx)

; Same as the-fixnum!, but leaves some room.

  (let ((upper-bound (floor (fixnum-bound) 2))) ; (1- (expt 2 28))
    (declare (type (signed-byte 29) upper-bound))
    (let ((lower-bound (- (1+ upper-bound))))
      (declare (type (signed-byte 29) lower-bound))
      `(the-fixnum
        (let ((n ,n))
          (if (and (<= n ,upper-bound)
                   (>= n ,lower-bound))
              n
            (er-hard-val 0 ,ctx
                         "The object ~x0 is not a `half-fixnum' ~
                          (precisely:  not a (signed-byte 29))."
                         n)))))))

(defmacro the-unsigned-byte! (bits n ctx)
  `(the (unsigned-byte ,bits)
        (let ((n ,n) (bits ,bits))
          (if (unsigned-byte-p bits n)
              n
            (er-hard-val 0 ,ctx
                         "The object ~x0 is not an (unsigned-byte ~x1)."
                         n bits)))))

(defmacro the-string! (s ctx)
  `(if (stringp ,s)
       (the string ,s)
     (er-hard-val "" ,ctx
                  "Not a string:  ~s0."
                  ,s)))

(defun xxxjoin-fixnum (fn args root)

; This is rather like xxxjoin, but we wrap the-fixnum around all
; arguments.

  (declare (xargs :guard (true-listp args)))
  (if (cdr args)
      (list 'the-fixnum
            (list fn
                  (list 'the-fixnum (car args))
                  (xxxjoin-fixnum fn (cdr args) root)))
    (if args ; one arg
        (list 'the-fixnum (car args))
      root)))

(defmacro +f (&rest args)
  (xxxjoin-fixnum '+ args 0))

(defmacro -f (arg1 &optional arg2)
  (if arg2
      `(the-fixnum (- (the-fixnum ,arg1)
                      (the-fixnum ,arg2)))
    `(the-fixnum (- (the-fixnum ,arg1)))))

(defmacro 1-f (x)
  (list 'the-fixnum
        (list '1- (list 'the-fixnum x))))

(defmacro 1+f (x)
  (list 'the-fixnum
        (list '1+ (list 'the-fixnum x))))

(defmacro charf (s i)
  (list 'the 'character
        (list 'char s i)))

(defmacro *f (&rest args)
  (xxxjoin-fixnum '* args 1))

; Essay on the Printing of Dotted Pairs and

; It is instructive to realize that we print a dotted pair as though it were a
; list of length 3 and the dot was just a normal argument.

; In the little table below I show, for various values of d, two things: the
; characters output by

; (ppr2 (ppr1 `(xx . yy) (print-base) (print-radix) d 0 state nil)
;       0 *standard-co* state nil)

; and the ppr tuple produced by the ppr1 call.
;
; d         output                 ppr tuple

;        |<-  9  ->|

; 9       (XX . YY)              (FLAT 9 (XX . YY))

; 8       (XX                    (3 8 (FLAT 2 XX) (FLAT 5 . YY))
;            . YY)

; 7       (XX                    (2 7 (FLAT 2 XX) (FLAT 5 . YY))
;           . YY)

; 6       (XX                    (1 6 (FLAT 2 XX) (FLAT 5 . YY))
;          . YY)

; 5       (XX                    (2 5 (FLAT 2 XX) (DOT 1) (FLAT 3 YY))
;           .
;           YY)

; 4       (XX                    (1 4 (FLAT 2 XX) (DOT 1) (FLAT 3 YY))
;          .
;          YY)

; The fact that the dot is not necessarily connected to (on the same line as)
; the atom following it is the reason we have the (DOT 1) tuple.  We have to
; represent the dot so that its placement is first class.  So when we're
; assembling the tuple for a list, we cdr down the list using cons-ppr1 to put
; together the tuple for the car with the tuple for the cdr.  If we reach a
; non-nil cdr, atm, we call cons-ppr1 on the dot tuple and the tuple
; representing the atm.  Depending on the width we have, this may produce (FLAT
; n . atm) which attaches the dot to the atm, or ((DOT 1) (FLAT n atm)) which
; leaves the dot on a line by itself.

; We want keywords to appear on new lines.  That means if the first element of
; lst is a keyword, don't merge (unless x is one too).

; BUG
; ACL2 p!>(let ((x '(foo bigggggggggggggggg . :littlllllllllllllle)))
;          (ppr2 (ppr1 x (print-base) (print-radix) 40 0 state nil)
;                0 *standard-co* state nil))
; (x   = (DOT 1)
; lst = ((FLAT 21 :LITTLLLLLLLLLLLLLLE))
; val = ((FLAT 23 . :LITTLLLLLLLLLLLLLLE)))
;
; HARD ACL2 ERROR in CONS-PPR1:  I thought I could force it!

(defmacro ppr-flat-right-margin ()
  '(f-get-global 'ppr-flat-right-margin state))

(defun set-ppr-flat-right-margin (val state)
  (if (posp val)
      (f-put-global 'ppr-flat-right-margin val state)
    (prog2$ (illegal 'set-ppr-flat-right-margin
                     "Set-ppr-flat-right-margin takes a positive integer ~
                      argument, unlike ~x0."
                     (list (cons #\0 val)))
            state)))

; Note: In the function below, column is NOT a number!  Often in this code,
; ``col'' is used to represent the position of the character column into which
; we are printing.  But ``column'' is a list of ppr tuples.

(defun keyword-param-valuep (tuple eviscp)

; We return t iff tuple represents a single object that could plausibly be the
; value of a keyword parameter.  The (or i ii iii iv) below checks that tuple
; represents a single object, either by being (i) a FLAT tuple listing exactly
; one object (ii) a QUOTE tuple, (iii) a WIDE tuple, or (iv) an indent tuple.
; The only other kinds of tuples are KEYPAIR tuples, FLAT tuples representing
; dotted objects `. atm', FLAT tuples representing several objects `a b c', and
; MATCHED-KEYWORD tuples representing keywords whose associated values are on
; the next line.  These wouldn't be provided as the value of a keyword
; argument.

  (or (and (eq (car tuple) 'flat)
           (not (or (atom (cddr tuple)) ; tuple is `. atm'
                    (evisceratedp eviscp (cddr tuple))))
           (null (cdr (cddr tuple))))
      (eq (car tuple) 'quote)
      (eq (car tuple) 'wide)
      (integerp (car tuple))))

(defun cons-ppr1 (x column width ppr-flat-right-margin eviscp)

; Here, x is a ppr tuple representing either a dot or a single object and
; column is a list of tuples corresponding to a list of objects (possibly a
; list of length greater than that of column).  Intuitively, column will print
; as a column of objects and we want to add x to that column, either by
; extending the top row or adding a new row.  In the most typical case, x might
; be (FLAT 3 ABC) and column is ((FLAT 7 DEF GHI) (...)).  Thus our choices
; would be to produce

; lengthened column          lengthened first row
; ABC                        ABC DEF GHI
; DEF GHI                    (...)
; (...)

; It is also here that we deal specially with keywords.  If x is
; (FLAT 3 :ABC) and column is ((...) (...)) then we have the choice:

; lengthened column          lengthened first row
; :ABC                       :ABC (...)
; (...)                      (...)
; (...)

; The default behavior is always to lengthen the column, which is just to cons
; x onto column.

  (cond
   ((and (eq (car x) 'flat)

; Note: Since x represents a dot or an object, we know that it is not of the
; form (FLAT n . atm).  Thus, (cddr x) is a list of length 1 containing a
; single (possibly eviscerated) object, x1.  If that object is an atom (or
; prints like one) we'll consider merging it with whatever else is on the first
; row.

         (or (atom (car (cddr x)))
             (evisceratedp eviscp (car (cddr x))))
         (consp column))

    (let ((x1 (car (cddr x)))
          (row1 (car column)))

; We know x represents the atom x1 (actually, x1 may be an eviscerated object,
; but if so it prints flat like an atom, e.g., `<world>').  Furthermore, we
; know column is non-empty and so has a first element, e.g., row1.

      (cond
       ((keywordp x1)

; So x1 is a keyword.  Are we looking at a keypair?  We are if row1 represents
; a single value.  By a ``single value'' we mean a single object that can be
; taken as the value of the keyword x1.  If row1 represents a sequence of more
; than one object, e.g., (FLAT 5 a b c), then we are not in a keypair situation
; because keyword argument lists must be keyword/value pairs all the way down
; and we form these columns bottom up, so if b were a keyword in the proper
; context, we would have paired it with c as keypair, not merged it, or we
; would have put it in a MATCHED-KEYWORD, indicating that its associated value
; is below it in the column.  If row1 does not represent a single value we act
; just like x1 had not been a keyword, i.e., we try to merge it with row1.
; This will shut down subsequent attempts to create keypairs above us.

        (cond
         ((and (keyword-param-valuep row1 eviscp)
               (or (null (cdr column))
                   (eq (car (cadr column)) 'keypair)
                   (eq (car (cadr column)) 'matched-keyword)))

; So x1 is a keyword, row1 represents a keyword parameter value, and
; the rest of the column represents keyword/value pairs.  The last
; test is made by just checking the item on the column below row1.  It
; would only be a keyword/value pair if the whole column consisted of
; those.  We consider making a keypair of width n = width of key, plus
; space, plus width of widest line in row1.  Note that we don't mind
; this running over the standard 40 character max line length because
; it is so iconic.

          (let ((n (+ (cadr x) (+ 1 (cadr row1)))))
            (cond ((<= n width)
                   (cons
                    (cons 'keypair (cons n (cons x row1)))
                    (cdr column)))

; Otherwise, we put x on a newline and leave the column as it was.  Note that
; we convert x from a FLAT to a MATCHED-KEYWORD, so insure that it stays on a
; line by itself and to keyword/value pairs encountered above us in the
; bottom-up processing to be paired with KEYPAIR.

                  (t (cons (cons 'MATCHED-KEYWORD (cdr x))
                           column)))))

; In this case, we are not in the context of a keyword/value argument even
; though x is a keyword.  So we act just like x is not a keyword and see
; whether we can merge it with row1.  We merge only if row1 is FLAT already and
; the width of the merged row is acceptable.  Even if row1 prints as `. atm' we
; will merge, giving rise to such displays as

; (foo a b c
;      d e f . atm)

         ((eq (car row1) 'flat)
          (let ((n (+ (cadr x) (+ 1 (cadr row1)))))
            (cond ((and (<= n ppr-flat-right-margin) (<= n width))
                   (cons
                    (cons 'flat (cons n (cons x1 (cddr row1))))
                    (cdr column)))
                  (t (cons x column)))))
         (t (cons x column))))

; In this case, x1 is not a keyword.  But it is known to print in atom-like
; way, e.g., `ABC' or `<world>'.  So we try a simple merge following the same
; scheme as above.

       ((eq (car row1) 'flat)
        (let ((n (+ (cadr x) (+ 1 (cadr row1)))))
          (cond ((and (<= n ppr-flat-right-margin) (<= n width))
                 (cons
                  (cons 'flat (cons n (cons x1 (cddr row1))))
                  (cdr column)))
                (t (cons x column)))))
       (t (cons x column)))))
   ((and (eq (car x) 'dot)
         (consp column))
    (let ((row1 (car column)))
      (cond ((eq (car row1) 'flat)

; In this case we know (car (cddr row1)) is an atom (or an eviscerated object)
; and it becomes the cddr of the car of the answer, which puts the dot on the
; same line as the terminal cdr.

             (let ((n (+ (cadr x) (+ 1 (cadr row1)))))
               (cond ((and (<= n ppr-flat-right-margin) (<= n width))
                      (cons
                       (cons 'flat
                             (cons n (car (cddr row1))))
                       (cdr column)))
                     (t (cons x column)))))
            (t (cons x column)))))

; In this case, x1 does not print flat.  So we add a new row.

   (t (cons x column))))

(defun flsz-integer (x print-base acc)
  (declare (type (unsigned-byte 5) print-base)
           (type (signed-byte 30) acc)
           (xargs :guard (print-base-p print-base)))
  (the-fixnum
   (cond ((< x 0)
          (flsz-integer (- x) print-base (1+f acc)))
         ((< x print-base) (1+f acc))
         (t (flsz-integer (truncate x print-base) print-base (1+f acc))))))

(defun flsz-atom (x print-base print-radix acc state)
  (declare (type (unsigned-byte 5) print-base)
           (type (signed-byte 30) acc))
  (the-fixnum
   (cond ((> acc (the (signed-byte 30) 100000))

; In order to make it very simple to guarantee that flsz and flsz-atom return
; fixnums, we ensure that acc is small enough below.  We could certainly
; provide a much more generous bound, but 100,000 seems safe at the moment!

          100000)
         ((integerp x)
          (flsz-integer x
                        print-base
                        (cond ((null print-radix)
                               acc)
                              ((int= print-base 10) ; `.' suffix
                               (+f 1 acc))
                              (t ; #b, #o, or #x prefix
                               (+f 2 acc)))))
         ((symbolp x)

; For symbols we add together the length of the "package part" and the symbol
; name part.  We include the colons in the package part.

          (+f (cond
               ((keywordp x) (1+f acc))
               ((symbol-in-current-package-p x state)
                acc)
               (t
                (let ((p (symbol-package-name x)))
                  (cond ((needs-slashes p state)
                         (+f 4 acc (the-half-fixnum! (length p)
                                                     'flsz-atom)))
                        (t (+f 2 acc (the-half-fixnum! (length p)
                                                       'flsz-atom)))))))
              (let ((s (symbol-name x)))
                 (cond ((needs-slashes s state)
                        (+f 2 (the-half-fixnum! (length s) 'flsz-atom)))
                       (t (+f (the-half-fixnum! (length s) 'flsz-atom)))))))
         ((rationalp x)
          (flsz-integer (numerator x)
                        print-base
                        (flsz-integer (denominator x)
                                      print-base
                                      (cond ((null print-radix)
                                             (+f 1 acc))
                                            ((int= print-base 10) ; #10r prefix
                                             (+f 5 acc))
                                            (t ; #b, #o, or #x prefix
                                             (+f 3 acc))))))
         ((complex-rationalp x)
          (flsz-atom (realpart x)
                     print-base
                     print-radix
                     (flsz-atom (imagpart x) print-base print-radix acc state)
                     state))
         ((stringp x)
          (+f 2 acc (the-half-fixnum! (length x) 'flsz-atom)))
         ((characterp x)
          (+f acc
              (cond ((eql x #\Newline) 9)
                    ((eql x #\Rubout) 8)
                    ((eql x #\Return) 8)
                    ((eql x #\Space) 7)
                    ((eql x #\Page) 6)
                    ((eql x #\Tab) 5)
                    (t 3))))
         (t 0))))

(defun flsz1 (x print-base print-radix j maximum state eviscp)

; Actually, maximum should be of type (signed-byte 29).

  (declare (type (unsigned-byte 5) print-base)
           (type (signed-byte 30) j maximum))
  (the-fixnum
   (cond ((> j maximum) j)
         ((atom x) (flsz-atom x print-base print-radix j state))
         ((evisceratedp eviscp x)
          (+f j (the-half-fixnum! (length (cdr x)) 'flsz)))
         ((atom (cdr x))
          (cond ((null (cdr x))
                 (flsz1 (car x) print-base print-radix (+f 2 j) maximum state
                        eviscp))
                (t (flsz1 (cdr x)
                          print-base
                          print-radix
                          (flsz1 (car x) print-base print-radix (+f 5 j)
                                 maximum state eviscp)
                          maximum state eviscp))))
         ((and (eq (car x) 'quote)
               (consp (cdr x))
               (null (cddr x)))
          (flsz1 (cadr x) print-base print-radix (+f 1 j) maximum state
                 eviscp))
         (t (flsz1 (cdr x)
                   print-base
                   print-radix
                   (flsz1 (car x) print-base print-radix (+f 1 j) maximum state
                          eviscp)
                   maximum state eviscp)))))

#+acl2-infix
(defun output-in-infixp (state)
  (let ((infixp (f-get-global 'infixp state)))
    (or (eq infixp t) (eq infixp :out))))

#+acl2-infix
(defun flatsize-infix (x print-base print-radix termp j max state eviscp)

; Suppose that printing x flat in infix notation causes k characters to come
; out.  Then we return j+k.  All answers greater than max are equivalent.

; If you think of j as the column into which you start printing flat, then this
; returns the column you'll print into after printing x.  If that column
; exceeds max, which is the right margin, then it doesn't matter by how far it
; exceeds max.

; In our $ infix notation, flat output has two extra chars in it, the $ and
; space.  But note that we use infix output only if infixp is t or :out.

  (declare (ignore termp))
  (+ 2 (flsz1 x print-base print-radix j max state eviscp)))

(defun flsz (x termp j maximum state eviscp)
  #-acl2-infix (declare (ignore termp))
  (cond #+acl2-infix
        ((output-in-infixp state)
         (flatsize-infix x (print-base) (print-radix) termp j maximum state
                         eviscp))
        (t (flsz1 x (print-base) (print-radix) j maximum state eviscp))))

(defun max-width (lst maximum)
  (cond ((null lst) maximum)
        ((> (cadr (car lst)) maximum)
         (max-width (cdr lst) (cadr (car lst))))
        (t (max-width (cdr lst) maximum))))

(mutual-recursion

(defun ppr1 (x print-base print-radix width rpc state eviscp)

; We create a ppr tuple for x, i.e., a list structure that tells us how to
; prettyprint x, in a column of the given width.  Rpc stands for `right paren
; count' and is the number of right parens that will follow the printed version
; of x.  For example, in printing the x in (f (g (h x)) u) there will always be
; 2 right parens after it.  So we cannot let x use the entire available width,
; only the width-2.  Rpc would be 2.  Eviscp indicates whether we are to think
; of evisc marks as printing as atom-like strings or whether they're just
; themselves as data.

  (declare (type (signed-byte 30) print-base width rpc))
  (let ((sz (flsz1 x print-base print-radix rpc width state eviscp)))
    (declare (type (signed-byte 30) sz))
    (cond ((or (atom x)
               (evisceratedp eviscp x)
               (and (<= sz width)
                    (<= sz (ppr-flat-right-margin))))
           (cons 'flat (cons sz (list x))))
          ((and (eq (car x) 'quote)
                (consp (cdr x))
                (null (cddr x)))
           (let* ((x1 (ppr1 (cadr x) print-base print-radix (+f width -1) rpc state
                            eviscp)))
             (cons 'quote (cons (+ 1 (cadr x1)) x1))))
          (t
           (let* ((x1 (ppr1 (car x) print-base print-radix (+f width -1)
                            (the-fixnum (if (null (cdr x)) (+ rpc 1) 0))
                            state eviscp))

; If the fn is a symbol (or eviscerated, which we treat as a symbol), then the
; hd-sz is the length of the symbol.  Else, hd-sz is nil.  Think of (null
; hd-sz) as meaning "fn is a lambda expression".

                  (hd-sz (cond ((or (atom (car x))
                                    (evisceratedp eviscp (car x)))
                                (cadr x1))
                               (t nil)))

; When printing the cdr of x, give each argument the full width (minus 1 for
; the minimal amount of indenting).  Note that x2 contains the ppr tuples for
; the car and the cdr.

                  (x2 (cons x1
                            (ppr1-lst (cdr x) print-base print-radix (+f width -1)
                                      (+f rpc 1) state eviscp)))

; If the fn is a symbol, then we get the maximum width of any single argument.
; Otherwise, we get the maximum width of the fn and its arguments.

                  (maximum (cond (hd-sz (max-width (cdr x2) -1))
                                 (t (max-width x2 -1)))))

             (cond ((null hd-sz)

; If the fn is lambda, we indent the args by 1 and report the width of the
; whole to be one more than the maximum computed above.

                    (cons 1 (cons (+ 1 maximum) x2)))
                   ((<= (+ hd-sz (+ 2 maximum)) width)

; We can print WIDE if we have room for an open paren, the fn, a space, and the
; widest argument.

                    (cons 'wide
                          (cons (+ hd-sz (+ 2 maximum)) x2)))
                   ((< maximum width)

; If the maximum is less than the width, we can do exact indenting of the
; arguments to make the widest argument come out on the right margin.  This
; exactness property is one of the things that makes this algorithm produce
; such beautiful output: we get the largest possible indentation, which makes
; it easy to identify peer arguments.  How much do we indent?  width-maximum
; will guarantee that the widest argument ends on the right margin.  However,
; we believe that it is more pleasing if argument columns occur at regular
; indents.  So we limit our indenting to 5 and just give up the white space
; over on the right margin.  Note that we compute the width of the whole term
; accordingly.

                    (cons (min 5 (+ width (- maximum)))
                          (cons (+ maximum (min 5 (+ width (- maximum))))
                                x2)))

; If maximum is not less than width, we indent by 1.

                   (t (cons 1 (cons (+ 1 maximum) x2)))))))))


; The next function computes a ppr tuple for each element of lst.  Typically
; these are all arguments to a function.  But of course, we prettyprint
; arbitrary constants and so have to handle the case that the list is not a
; true-list.

; If you haven't read about cons-ppr1, above, do so now.

(defun ppr1-lst (lst print-base print-radix width rpc state eviscp)

  (declare (type (signed-byte 30) print-base width rpc))
  (cond ((atom lst)

; If the list is empty and null, then nothing is printed (besides the parens
; which are being accounted for otherwise).  If the list is terminated by some
; non-nil atom, we will print a dot and the atom.  We do that by merging a dot
; tuple into the flat for the atom, if there's room on the line, using
; cons-ppr1.  Where this merged flat will go, i.e., will it be indented under
; the car as happens in the Essay on the Printing of Dotted Pairs, is the
; concern of ppr1-lst, not the cons-ppr1.  The cons-ppr1 below just produces a
; merged flat containing the dot, if the width permits.

         (cond ((null lst) nil)
               (t (cons-ppr1 '(dot 1)
                             (list (ppr1 lst print-base print-radix width rpc
                                         state eviscp))
                             width (ppr-flat-right-margin) eviscp))))

; The case for an eviscerated terminal cdr is handled the same way.

        ((evisceratedp eviscp lst)
         (cons-ppr1 '(dot 1)
                    (list (ppr1 lst print-base print-radix width rpc state
                                eviscp))
                    width (ppr-flat-right-margin) eviscp))

; If the list is a true singleton, we just use ppr1 and we pass it the rpc that
; was passed in because this last item will be followed by that many parens on
; the same line.

        ((null (cdr lst))
         (list (ppr1 (car lst) print-base print-radix width rpc state eviscp)))

; Otherwise, we know that the car is followed by more elements.  So its rpc is
; 0.

        (t (cons-ppr1 (ppr1 (car lst) print-base print-radix width 0 state
                            eviscp)
                      (ppr1-lst (cdr lst) print-base print-radix width rpc
                                state eviscp)
                      width (ppr-flat-right-margin) eviscp))))

)

(defun newline (channel state)
  (declare (xargs :guard (and (state-p state)
                              (symbolp channel)
                              (open-output-channel-p channel :character state))))
  (princ$ #\Newline channel state))

(defun fmt-hard-right-margin (state)
  (the-fixnum
   (f-get-global 'fmt-hard-right-margin state)))

(defun fmt-soft-right-margin (state)
  (the-fixnum
   (f-get-global 'fmt-soft-right-margin state)))

(defun set-fmt-hard-right-margin (n state)
  (cond
   ((and (integerp n)
         (< 0 n))
    (f-put-global 'fmt-hard-right-margin
                  (the-half-fixnum! n 'set-fmt-hard-right-margin)
                  state))
   (t (let ((err (er hard 'set-fmt-hard-right-margin
                     "The fmt-hard-right-margin must be a positive ~
                      integer, but ~x0 is not."
                     n)))
        (declare (ignore err))
        state))))

(defun set-fmt-soft-right-margin (n state)
  (cond
   ((and (integerp n)
         (< 0 n))
    (f-put-global 'fmt-soft-right-margin
                  (the-half-fixnum! n 'set-fmt-soft-right-margin)
                  state))
   (t (let ((err (er hard 'set-fmt-soft-right-margin
                     "The fmt-soft-right-margin must be a positive ~
                      integer, but ~x0 is not."
                     n)))
        (declare (ignore err))
        state))))

(defun write-for-read (state)
  (declare (xargs :guard (and (state-p state)
                              (f-boundp-global 'write-for-read state))))
  (f-get-global 'write-for-read state))

(defun spaces1 (n col hard-right-margin channel state)
  (declare (type (signed-byte 30) n col hard-right-margin))
  (cond ((<= n 0) state)
        ((> col hard-right-margin)
         (pprogn (if (write-for-read state)
                     state
                   (princ$ #\\ channel state))
                 (newline channel state)
                 (spaces1 n 0 hard-right-margin channel state)))
        (t (pprogn (princ$ #\Space channel state)
                   (spaces1 (1-f n) (1+f col) hard-right-margin channel
                            state)))))

; The use of *acl2-built-in-spaces-array* to circumvent the call to spaces1
; under spaces has saved about 25% in GCL and a little more than 50% in
; Allegro.

(defun make-spaces-array-rec (n acc)
  (if (zp n)
      (cons (cons 0 "") acc)
    (make-spaces-array-rec
     (1- n)
     (cons
      (cons n
            (coerce (make-list n :initial-element #\Space) 'string))
      acc))))

(defun make-spaces-array (n)
  (compress1
   'acl2-built-in-spaces-array
   (cons `(:HEADER :DIMENSIONS (,(1+ n))
                   :MAXIMUM-LENGTH ,(+ 2 n)
                   :DEFAULT nil ; should be ignored
                   :NAME acl2-built-in-spaces-array)
         (make-spaces-array-rec n nil))))

(defconst *acl2-built-in-spaces-array*

; Keep the 200 below in sync with the code in spaces.

  (make-spaces-array 200))

(defun spaces (n col channel state)
  (declare (type (signed-byte 30) n col))
  (let ((hard-right-margin (fmt-hard-right-margin state))
        (result-col (+f n col)))
    (declare (type (signed-byte 30) hard-right-margin result-col))
    (if (and (<= result-col hard-right-margin)

; Keep the 200 below in sync with the code in *acl2-built-in-spaces-array*.

             (<= n 200))
        ;; actually (1+ hard-right-margin) would do
        (princ$ (aref1 'acl2-built-in-spaces-array
                       *acl2-built-in-spaces-array*
                       n)
                channel state)
      (spaces1 (the-fixnum! n 'spaces)
               (the-fixnum col)
               hard-right-margin
               channel state))))

(mutual-recursion

(defun flpr1 (x channel state eviscp)
  (cond ((atom x)
         (prin1$ x channel state))
        ((evisceratedp eviscp x)
         (princ$ (cdr x) channel state))
        ((and (eq (car x) 'quote)
              (consp (cdr x))
              (null (cddr x)))
         (pprogn (princ$ #\' channel state)
                 (flpr1 (cadr x) channel state eviscp)))
        (t (pprogn (princ$ #\( channel state)
                   (flpr11 x channel state eviscp)))))

(defun flpr11 (x channel state eviscp)
  (pprogn
   (flpr1 (car x) channel state eviscp)
   (cond ((null (cdr x)) (princ$ #\) channel state))
         ((or (atom (cdr x))
              (evisceratedp eviscp (cdr x)))
          (pprogn
           (princ$ " . " channel state)
           (flpr1 (cdr x) channel state eviscp)
           (princ$ #\) channel state)))
         (t (pprogn
             (princ$ #\Space channel state)
             (flpr11 (cdr x) channel state eviscp))))))

)

#+(and acl2-infix (not acl2-loop-only))
(defun-one-output print-flat-infix (x termp file eviscp)

; Print x flat (without terpri's) in infix notation to the open output
; stream file.  Give special treatment to :evisceration-mark iff
; eviscp.  We only call this function if flatsize-infix assures us
; that x will fit on the line.  See the Essay on Evisceration in this
; file to details on that subject.

  (declare (ignore termp eviscp))
  (let ((*print-case* :downcase)
        (*print-pretty* nil))
    (princ "$ " file)
    (prin1 x file)))

(defun flpr (x termp channel state eviscp)
  #-(and acl2-infix (not acl2-loop-only))
  (declare (ignore termp))
  #+(and acl2-infix (not acl2-loop-only))
  (cond ((and (live-state-p state)
              (output-in-infixp state))
         (print-flat-infix x termp
                           (get-output-stream-from-channel channel)
                           eviscp)
         (return-from flpr *the-live-state*)))
  (flpr1 x channel state eviscp))

(defun ppr2-flat (x channel state eviscp)

; We print the elements of x, separated by spaces.  If x is a non-nil atom, we
; print a dot and then x.

  (cond ((null x) state)
        ((or (atom x)
             (evisceratedp eviscp x))
         (pprogn (princ$ #\. channel state)
                 (princ$ #\Space channel state)
                 (flpr1 x channel state eviscp)))
        (t (pprogn
            (flpr1 (car x) channel state eviscp)
            (cond ((cdr x)
                   (pprogn (princ$ #\Space channel state)
                           (ppr2-flat (cdr x) channel state eviscp)))
                  (t state))))))

(mutual-recursion

(defun ppr2-column (lst loc col channel state eviscp)

; We print the elements of lst in a column.  The column number is col and we
; assume the print head is currently in column loc, loc <= col.  Thus, to
; indent to col we print col-loc spaces.  After every element of lst but the
; last, we print a newline.

  (cond ((null lst) state)
        (t (pprogn
            (spaces (+ col (- loc)) loc channel state)
            (ppr2 (car lst) col channel state eviscp)
            (cond ((null (cdr lst)) state)
                  (t (pprogn
                      (newline channel state)
                      (ppr2-column (cdr lst) 0 col
                                   channel state eviscp))))))))

(defun ppr2 (x col channel state eviscp)

; We interpret the ppr tuple x.

  (case
    (car x)
    (flat (ppr2-flat (cddr x) channel state eviscp))
    (matched-keyword
     (ppr2-flat (cddr x) channel state eviscp)) ; just like flat!
    (dot (princ$ #\. channel state))
    (quote (pprogn (princ$ #\' channel state)
                   (ppr2 (cddr x) (+ 1 col) channel state eviscp)))
    (keypair (pprogn
              (ppr2-flat (cddr (car (cddr x))) channel state eviscp)
              (princ$ #\Space channel state)
              (ppr2 (cdr (cddr x))
                    (+ col (+ 1 (cadr (car (cddr x)))))
                    channel state eviscp)))
    (wide (pprogn
           (princ$ #\( channel state)
           (ppr2-flat (cddr (car (cddr x))) channel state eviscp)
           (ppr2-column (cdr (cddr x))
                        (+ col (+ 1 (cadr (car (cddr x)))))
                        (+ col (+ 2 (cadr (car (cddr x)))))
                        channel state eviscp)
           (princ$ #\) channel state)))
    (otherwise (pprogn
                (princ$ #\( channel state)
                (ppr2 (car (cddr x)) (+ col (car x)) channel
                      state eviscp)
                (cond ((cdr (cddr x))
                       (pprogn
                        (newline channel state)
                        (ppr2-column (cdr (cddr x))
                                     0
                                     (+ col (car x))
                                     channel state eviscp)
                        (princ$ #\) channel state)))
                      (t (princ$ #\) channel state)))))))
)

; We used to set *fmt-ppr-indentation* below to 5, but it the indentation was
; sometimes odd because when printing a list, some elements could be indented
; and others not.  At any rate, it should be less than the
; fmt-hard-right-margin in order to preserve the invariant that fmt0 is called
; on columns that do not exceed this value.

(defconst *fmt-ppr-indentation* 0)

(defun ppr (x col channel state eviscp)

; If eviscp is nil, then we pretty print x as given.  Otherwise, x has been
; eviscerated and we give special importance to the *evisceration-mark*.  NOTE
; WELL: This function does not eviscerate -- it assumes the evisceration has
; been done if needed.

  (declare (type (signed-byte 30) col))
  (let ((fmt-hard-right-margin (fmt-hard-right-margin state)))
    (declare (type (signed-byte 30) fmt-hard-right-margin))
    (cond
     ((< col fmt-hard-right-margin)
      (ppr2 (ppr1 x (print-base) (print-radix)
                  (+f fmt-hard-right-margin (-f col))
                  0 state eviscp)
            col channel state eviscp))
     (t (let ((er
               (er hard 'ppr
                   "The `col' argument to ppr must be less than value ~
                    of the state global variable ~
                    fmt-hard-right-margin, but ~x0 is not less than ~
                    ~x1."
                   col fmt-hard-right-margin)))
          (declare (ignore er))
          state)))))

(defun scan-past-whitespace (s i maximum)
  (declare (type (signed-byte 30) i maximum)
           (type string s))
  (the-fixnum
   (cond ((< i maximum)
          (cond ((member (charf s i) '(#\Space #\Tab #\Newline))
                 (scan-past-whitespace s (+f i 1) maximum))
                (t i)))
         (t maximum))))

(defun zero-one-or-more (x)
  (let ((n (cond ((integerp x) x)
                 (t (length x)))))
    (case n
          (0 0)
          (1 1)
          (otherwise 2))))

(defun find-alternative-skip (s i maximum)

; This function finds the first character after a list of alternatives.  i is
; the value of find-alternative-stop, i.e., it points to the ~ in the ~/ or ~]
; that closed the alternative used.

; Suppose s is "~#7~[ab~/cd~/ef~]acl2".
;               01234567890123456789
; If i is 11, the answer is 17.
;

  (declare (type (signed-byte 30) i maximum)
           (type string s))
  (the-fixnum
   (cond ((< i maximum)
          (let ((char-s-i (charf s i)))
            (declare (type character char-s-i))
            (case char-s-i
              (#\~
               (let ((char-s-1+i (charf s (1+f i))))
                 (declare (type character char-s-1+i))
                 (case char-s-1+i
                   (#\] (+f 2 i))
                   (#\[ (find-alternative-skip
                         s
                         (find-alternative-skip s (+f 2 i)
                                                maximum)
                         maximum))
                   (otherwise (find-alternative-skip
                               s (+f 2 i) maximum)))))
              (otherwise
               (find-alternative-skip s (+f 1 i) maximum)))))
         (t (er-hard-val 0 'find-alternative-skip
                "Illegal Fmt Syntax -  While looking for the terminating ~
                bracket of a tilde alternative directive in the string ~
                below we ran off the end of the string.~|~%~x0"
                s)))))

(defun find-alternative-start1 (x s i maximum)
  (declare (type (signed-byte 30) x i maximum)
           (type string s))
  (the-fixnum
   (cond ((= x 0) i)
         ((< i maximum)
          (let ((char-s-i (charf s i)))
            (declare (type character char-s-i))
            (case char-s-i
              (#\~
               (let ((char-s-1+-i (charf s (1+f i))))
                 (declare (type character char-s-1+-i))
                 (case char-s-1+-i
                   (#\/ (find-alternative-start1
                         (1-f x) s (+f 2 i)
                         maximum))
                   (#\] (er-hard-val 0 'find-alternative-start1
                            "Illegal Fmt Syntax -- The tilde directive ~
                             terminating at position ~x0 of the string below ~
                             does not have enough alternative clauses.  When ~
                             the terminal bracket was reached we still needed ~
                             ~#1~[~/1 more alternative~/~x2 more ~
                             alternatives~].~|~%~x3"
                            i
                            (zero-one-or-more x)
                            x
                            s))
                   (#\[ (find-alternative-start1
                         x s
                         (find-alternative-skip s (+f 2 i) maximum)
                         maximum))
                   (otherwise
                    (find-alternative-start1
                     x s (+f 2 i) maximum)))))
              (otherwise
               (find-alternative-start1 x s (+f 1 i)
                                        maximum)))))
         (t (er-hard-val 0 'find-alternative-start1
                "Illegal Fmt Syntax -- While searching for the appropriate ~
                alternative clause of a tilde alternative directive in the ~
                string below, we ran off the end of the string.~|~%~x0"
                s)))))

(defun fmt-char (s i j maximum err-flg)
  (declare (type (signed-byte 30) i maximum)

; We only increment i by a small amount, j.

           (type (integer 0 100) j)
           (type string s))
  (the character
       (cond ((< (+f i j) maximum) (charf s (+f i j)))
             (t
              (prog2$ ; return an arbitrary character
               (cond (err-flg
                      (er hard 'fmt-char
                          "Illegal Fmt Syntax.  The tilde directive at ~
                           location ~x0 in the fmt string below requires that ~
                           we look at the character ~x1 further down in the ~
                           string.  But the string terminates at location ~
                           ~x2.~|~%~x3"
                          i j maximum s))
                     (t nil))
               #\a)))))

(defun find-alternative-start (x s i maximum)

; This function returns the index of the first character in the xth
; alternative, assuming i points to the ~ that begins the alternative
; directive.  If x is not an integer, we assume it is a non-empty
; list.  If its length is 1, pick the 0th alternative.  Otherwise,
; pick the 1st.  This means we can test on a list to get a "plural" test.

; Suppose s is "~#7~[ab~/cd~/ef~]acl2".  The indices into s are
;               01234567890123456789
; This function is supposed to be called with i=0.  Suppose register
; 7 contains a 1.  That's the value of x.  This function will return
; 9, the index of the beginning of alternative x.

  (declare (type (signed-byte 30) i maximum)
           (type string s))
  (the-fixnum
   (let ((x (cond ((integerp x) (the-fixnum! x 'find-alternative-start))
                  ((and (consp x)
                        (atom (cdr x)))
                   0)
                  (t 1))))
     (declare (type (signed-byte 30) x))
     (cond ((not (and (eql (the character (fmt-char s i 3 maximum t)) #\~)
                      (eql (the character (fmt-char s i 4 maximum t)) #\[)))
            (er-hard-val 0 'find-alternative-start
                "Illegal Fmt Syntax:  The tilde directive at ~x0 in the ~
                fmt string below must be followed immediately by ~~[. ~
                ~|~%~x1"
                i s))
           (t (find-alternative-start1 x s (+f i 5) maximum))))))

(defun find-alternative-stop (s i maximum)

; This function finds the end of the alternative into which i is
; pointing.  i is usually the first character of the current alternative.
; The answer points to the ~ in the ~/ or ~] closing the alternative.

; Suppose s is "~#7~[ab~/cd~/ef~]acl2".
;               01234567890123456789
; and i is 9.  Then the answer is 11.

  (declare (type (signed-byte 30) i maximum)
           (type string s))
  (the-fixnum
   (cond ((< i maximum)
          (let ((char-s-i (charf s i)))
            (declare (type character char-s-i))
            (case char-s-i
              (#\~ (let ((char-s-1+i (charf s (1+f i))))
                     (declare (type character char-s-1+i))
                     (case char-s-1+i
                       (#\/ i)
                       (#\[ (find-alternative-stop
                             s
                             (find-alternative-skip s (+f 2 i) maximum)
                             maximum))
                       (#\] i)
                       (otherwise (find-alternative-stop
                                   s (+f 2 i) maximum)))))
              (otherwise (find-alternative-stop s (+f 1 i) maximum)))))
         (t (er-hard-val 0 'find-alternative-stop
                "Illegal Fmt Syntax -- While looking for the terminating ~
                slash of a tilde alternative directive alternative clause ~
                in the string below we ran off the end of the string. ~
                ~|~%~x0"
                s)))))

(defun punctp (c)
  (if (member c '(#\. #\, #\: #\; #\? #\! #\) #\]))
      c
    nil))

(defun fmt-tilde-s1 (s i maximum col channel state)
  (declare (type (signed-byte 30) i maximum col)
           (type string s))
  (the2s
   (signed-byte 30)
   (cond ((not (< i maximum))
          (mv col state))
         ((and (> col (fmt-hard-right-margin state))
               (not (write-for-read state)))
          (pprogn
           (princ$ #\\ channel state)
           (newline channel state)
           (fmt-tilde-s1 s i maximum 0 channel state)))
         (t
          (let ((c (charf s i))
                (fmt-soft-right-margin (fmt-soft-right-margin state)))
            (declare (type character c)
                     (type (signed-byte 30) fmt-soft-right-margin))
            (cond ((and (> col fmt-soft-right-margin)
                        (not (write-for-read state))
                        (eql c #\Space))
                   (pprogn
                    (newline channel state)
                    (fmt-tilde-s1 s
                                  (scan-past-whitespace s (+f i 1) maximum)
                                  maximum 0 channel state)))
                  ((and (> col fmt-soft-right-margin)
                        (not (write-for-read state))
                        (or (eql c #\-)
                            (eql c #\_))
                        (not (int= (1+f i) maximum)))

; If we are beyond the soft right margin and we are about to print a
; hyphen or underscore and it is not the last character in the string,
; then print it and do a terpri.  If it is the last character, as it
; is in say, the function name "1-", then we don't do the terpri and
; hope there is a better place to break soon.  The motivating example
; for this was in seeing a list of function names get printed in a way
; that produced a comma as the first character of the newline, e.g.,
; "... EQL, 1+, 1-
; , ZEROP and PLUSP."

                   (pprogn
                    (princ$ c channel state)
                    (if (eql c #\-) state (princ$ #\- channel state))
                    (newline channel state)
                    (fmt-tilde-s1 s
                                  (scan-past-whitespace s (+f i 1) maximum)
                                  maximum 0 channel state)))
                  (t
                   (pprogn
                    (princ$ c channel state)
                    (fmt-tilde-s1 s (1+f i) maximum
                                  (if (eql c #\Newline)
                                      0
                                    (1+f col))
                                  channel state)))))))))

(defun fmt-tilde-cap-s1 (s i maximum col channel state)
  (declare (type (signed-byte 30) i maximum col)
           (type string s))
  (the2s
   (signed-byte 30)
   (cond ((not (< i maximum))
          (mv col state))
         (t
          (let ((c (charf s i)))
            (declare (type character c))
            (pprogn
             (princ$ c channel state)
             (fmt-tilde-cap-s1 s (1+f i) maximum
                               (if (eql c #\Newline)
                                   0
                                 (1+f col))
                               channel state)))))))

(defun fmt-var (s alist i maximum)
  (declare (type (signed-byte 30) i maximum)
           (type string s))
  (let ((x (assoc (the character (fmt-char s i 2 maximum t)) alist)))
    (cond (x (cdr x))
          (t (er hard 'fmt-var
                 "Unbound Fmt Variable.  The tilde directive at location ~x0 ~
                  in the fmt string below uses the variable ~x1.  But ~
                  this variable is not bound in the association list, ~
                  ~x2, supplied with the fmt string.~|~%~x3"
                 i (char s (+f i 2)) alist s)))))

(defun splat-atom (x print-base print-radix indent col channel state)

; See also splat-atom!, which ignores margins.

  (let* ((sz (flsz-atom x print-base print-radix 0 state))
         (too-bigp (> (+ col sz) (fmt-hard-right-margin state))))
    (pprogn (if too-bigp
                (pprogn (newline channel state)
                        (spaces indent 0 channel state))
                state)
            (prin1$ x channel state)
            (mv (if too-bigp (+ indent sz) (+ col sz))
                state))))

(defun splat-atom! (x print-base print-radix col channel state)

; See also splat-atom, which takes account of margins by possibly printing
; newlines.

  (pprogn (prin1$ x channel state)
          (mv (flsz-atom x print-base print-radix col state)
              state)))

; Splat, below, prints out an arbitrary ACL2 object flat, introducing
; the single-gritch notation for quote and breaking lines between lexemes
; to avoid going over the hard right margin.  It indents all but the first
; line by indent spaces.

(mutual-recursion

(defun splat (x print-base print-radix indent col channel state)
  (cond ((atom x)
         (splat-atom x print-base print-radix indent col channel state))
        ((and (eq (car x) 'quote)
              (consp (cdr x))
              (null (cddr x)))
         (pprogn (princ$ #\' channel state)
                 (splat (cadr x) print-base print-radix indent (1+ col) channel
                        state)))
        (t (pprogn (princ$ #\( channel state)
                   (splat1 x print-base print-radix indent (1+ col) channel
                           state)))))

(defun splat1 (x print-base print-radix indent col channel state)
  (mv-let (col state)
          (splat (car x) print-base print-radix indent col channel state)
          (cond ((null (cdr x))
                 (pprogn (princ$ #\) channel state)
                         (mv (1+ col) state)))
                ((atom (cdr x))
                 (cond ((> (+ 3 col) (fmt-hard-right-margin state))
                        (pprogn (newline channel state)
                                (spaces indent 0 channel state)
                                (princ$ ". " channel state)
                                (mv-let (col state)
                                        (splat (cdr x)
                                               print-base print-radix indent
                                               (+ indent 2)
                                               channel state)
                                        (pprogn (princ$ #\) channel state)
                                                (mv (1+ col) state)))))
                       (t (pprogn
                           (princ$ " . " channel state)
                           (mv-let (col state)
                                   (splat (cdr x)
                                          print-base print-radix indent
                                          (+ 3 col)
                                          channel state)
                                   (pprogn (princ$ #\) channel state)
                                           (mv (1+ col) state)))))))
                (t (pprogn
                    (princ$ #\Space channel state)
                    (splat1 (cdr x) print-base print-radix indent (1+ col)
                            channel state))))))

)

(defun number-of-digits (n print-base print-radix)

; We compute the width of the field necessary to express the integer n
; in the given print-base.  We assume minus signs are printed but plus
; signs are not.  Thus, if n is -123 we return 4, if n is 123 we
; return 3.

  (cond ((< n 0) (1+ (number-of-digits (abs n) print-base print-radix)))
        ((< n print-base)
         (cond ((null print-radix)
                1)
               ((int= print-base 10) ; `.' suffix
                2)
               (t ; #b, #o, or #x prefix
                3)))
        (t (1+ (number-of-digits (floor n print-base) print-base
                                 print-radix)))))

(defun left-pad-with-blanks (n width col channel state)

; Print the integer n right-justified in a field of width width.
; We return the final column (assuming we started in col) and state.

  (declare (type (signed-byte 30) col))
  (the2s
   (signed-byte 30)
   (let ((d (the-half-fixnum! (number-of-digits n (print-base) (print-radix))
                              'left-pad-with-blanks)))
     (declare (type (signed-byte 30) d))
     (cond ((>= d width)
            (pprogn (prin1$ n channel state)
                    (mv (+ col d) state)))
           (t (pprogn
               (spaces (- width d) col channel state)
               (prin1$ n channel state)
               (mv (the-fixnum! (+ col width) 'left-pad-with-blanks)
                   state)))))))

(defmacro maybe-newline (body)

; This macro is used in fmt0 to force a newline only when absolutely
; necessary.  It knows the locals of fmt0, in particular, col,
; channel, and state.  We wrap this macro around code that is about to
; print a character at col.  Once upon a time we just started fmt0
; with a newline if we were past the hard right margin, but that
; produced occasional lines that ended naturally at the hard right
; margin and then had a backslash inserted in anticipation of the 0
; characters to follow.  It was impossible to tell if more characters
; follow because there may be tilde commands between where you are and
; the end of the line, and they may or may not print things.

  `(mv-letc (col state)
            (cond
             ((and (> col (fmt-hard-right-margin state))
                   (not (write-for-read state)))
              (pprogn (princ$ #\\ channel state)
                      (newline channel state)
                      (mv 0 state)))
             (t (mv col state)))
            ,body))

; To support the convention that er, fmt, and even individual fmt
; commands such as ~X can control their own evisceration parameters,
; we now introduce the idea of an evisceration tuple, or evisc-tuple.

(defun evisc-tuple (print-level print-length alist hiding-cars)

; See :doc set-evisc-tuple for a lot of information about evisc-tuples.  Also
; see the Essay on Iprinting for a related topic.

; This is really just a record constructor, but we haven't got defrec
; yet so we do it by hand.  See set-evisc-tuple.

; We sometimes write out constant evisc tuples!  However they are commented
; nearby with (evisc-tuple ...).

; The primitive consumers of evisc tuples all call eviscerate-top or
; eviscerate-stobjs-top.

;         car   cadr        caddr        cadddr

  (list alist   print-level print-length hiding-cars))

(defun standard-evisc-tuplep (x)
  (or (null x)
      (and (true-listp x)
           (= (length x) 4)
           (alistp (car x))
           (or (null (cadr x))
               (integerp (cadr x)))
           (or (null (caddr x))
               (integerp (caddr x)))
           (symbol-listp (cadddr x)))))

(defun world-evisceration-alist (state alist)
  (declare (xargs :stobjs state))
  (let ((wrld (w state)))
    (cond ((null wrld) ; loading during the build
           alist)
          (t (cons (cons wrld *evisceration-world-mark*)
                   alist)))))

(defun abbrev-evisc-tuple (state)

; As of January 2009 the abbrev-evisc-tuple is used in error, warning$,
; observation, pstack, break-on-error, and miscellany such as running commands
; where little output is desired, say for :ubt or rebuild.  We don't put this
; complete of a specification into the documentation, however, in case later we
; tweak the set of uses of the abbrev-evisc-tuple.  This comment should
; similarly not be viewed as definitive if it is long after January 2009.

  (declare (xargs :stobjs state
                  :guard (f-boundp-global 'abbrev-evisc-tuple state)))
  (let ((evisc-tuple (f-get-global 'abbrev-evisc-tuple state)))
    (cond
     ((eq evisc-tuple :default)
      (cons (world-evisceration-alist state nil)
            '(5 7 nil)))
     (t evisc-tuple))))

(defmacro gag-mode ()
  '(f-get-global 'gag-mode state))

(defun term-evisc-tuple (flg state)

; This evisceration tuple is used when we are printing terms or lists of terms.
; If state global 'term-evisc-tuple has value other than :default, then we
; return that value.  Otherwise:

; We don't hide the world or state because they aren't (usually) found in
; terms.  This saves us a little time.  If the global value of
; 'eviscerate-hide-terms is t, we print (HIDE ...) as <hidden>.  Otherwise not.
; Flg controls whether we actually eviscerate on the basis of structural depth
; and length.  If flg is t we do.  The choice of the print-length 4 is
; motivated by the idea of being able to print IF as (IF # # #) rather than (IF
; # # ...).  Print-level 3 lets us print a clause as ((NOT (PRIMEP #)) ...)
; rather than ((NOT #) ...).

  (let ((evisc-tuple (f-get-global 'term-evisc-tuple state)))
    (cond ((not (eq evisc-tuple :default))
           evisc-tuple)
          ((f-get-global 'eviscerate-hide-terms state)
           (cond (flg
;;; (evisc-tuple 3 4 nil '(hide))
                  '(nil 3 4 (hide)))
                 (t
;;; (evisc-tuple nil nil nil '(hide))
                  '(nil nil nil (hide)))))
          (flg ;;; (evisc-tuple 3 4 nil nil)
           '(nil 3 4 nil))
          (t nil))))

(defun gag-mode-evisc-tuple (state)
  (cond ((gag-mode)
         (let ((val (f-get-global 'gag-mode-evisc-tuple state)))
           (if (eq val :DEFAULT)
               nil
             val)))
        (t (term-evisc-tuple nil state))))

(defun ld-evisc-tuple (state)
  (let ((evisc-tuple (f-get-global 'ld-evisc-tuple state)))
    (assert$ (not (eq evisc-tuple :default)) ; only abbrev, term evisc-tuples
             evisc-tuple)))

#+(and acl2-infix (not acl2-loop-only))
(defun-one-output print-infix (x termp width rpc col file eviscp)

; X is an s-expression denoting a term (if termp = t) or an evg (if
; termp = nil).  File is an open output file.  Prettyprint x in infix
; notation to file.  If eviscp is t then we are to give special treatment to
; the :evisceration-mark; otherwise not.

; This hook is modeled after the ACL2 pretty-printer, which has the following
; additional features.  These features need not be implemented in the infix
; prettyprinter.  The printer is assumed to be in column col, where col=0 means
; it is on the left margin.  We are supposed to print our first character in
; that column.  We are supposed to print in a field of width width.  That is,
; the largest column into which we might print is col+width-2.  Finally, assume
; that on the last line of the output somebody is going to write rpc additional
; characters and arrange for this not to overflow the col+width-2 limit.  Rpc
; is used when, for example, we plan to print some punctuation, like a comma,
; after a form and want to ensure that we can do it without overflowing the
; right margin.  (One might think that the desired effect could be obtained by
; setting width smaller, but that is wrong because it narrows the whole field
; and we only want to guarantee space on the last line.)  Here is an example.
; Use ctrl-x = in emacs to see what columns things are in.  The semi-colons are
; in column 0.  Pretend they are all spaces, as they would be if the printing
; had been done by fmt-ppr.

; (foobar
;   (here is a long arg)
;   a)

; Here, col = 2, width = 23, and rpc = 19!

; Infix Hack:
; We simply print out $ followed by the expression.  We print the
; expression in lower-case.

  (declare (ignore termp width rpc col eviscp))
  (let ((*print-case* :downcase)
        (*print-pretty* t))
    (princ "$ " file)
    (prin1 x file)))

(defun fmt-ppr (x termp width rpc col channel state eviscp)
  (declare (type (signed-byte 30) col))
  #-(and acl2-infix (not acl2-loop-only))
  (declare (ignore termp))
  #+(and acl2-infix (not acl2-loop-only))
  (cond
   ((and (live-state-p state)
         (output-in-infixp state))
    (print-infix x termp width rpc col
                 (get-output-stream-from-channel channel)
                 eviscp)
    (return-from fmt-ppr *the-live-state*)))
  (ppr2 (ppr1 x (print-base) (print-radix) width rpc state eviscp)
        col channel state eviscp))

(mutual-recursion

(defun fmt0* (str0 str1 str2 str3 lst alist col channel state evisc-tuple)

; This odd function prints out the members of lst.  If the list has no
; elements, str0 is used.  If the list has 1 element, str1 is used
; with #\* bound to the element.  If the list has two elements, str2
; is used with #\* bound to the first element and then str1 is used
; with #\* bound to the second.  If the list has more than two
; elements, str3 is used with #\* bound successively to each element
; until there are only two left.  The function is used in the
; implementation of ~&, ~v, and ~*.

  (declare (type (signed-byte 30) col)
           (type string str0 str1 str2 str3))
  (the2s
   (signed-byte 30)
   (cond ((null lst)
          (fmt0 str0 alist 0 (the-fixnum! (length str0) 'fmt0*) col channel
                state evisc-tuple))
         ((null (cdr lst))
          (fmt0 str1
                (cons (cons #\* (car lst)) alist)
                0 (the-fixnum! (length str1) 'fmt0*) col channel
                state evisc-tuple))
         ((null (cddr lst))
          (mv-letc (col state)
                   (fmt0 str2
                         (cons (cons #\* (car lst)) alist)
                         0 (the-fixnum! (length str2) 'fmt0*)
                         col channel state evisc-tuple)
                   (fmt0* str0 str1 str2 str3 (cdr lst) alist col channel
                          state evisc-tuple)))
         (t (mv-letc (col state)
                     (fmt0 str3
                           (cons (cons #\* (car lst)) alist)
                           0 (the-fixnum! (length str3) 'fmt0*)
                           col channel state evisc-tuple)
                     (fmt0* str0 str1 str2 str3 (cdr lst) alist col channel
                            state evisc-tuple))))))

(defun fmt0&v (flg lst punct col channel state evisc-tuple)
  (declare (type (signed-byte 30) col))
  (the2s
   (signed-byte 30)
   (case flg
     (&
      (case
          punct
        (#\. (fmt0* "" "~x*." "~x* and " "~x*, " lst nil col channel
                    state evisc-tuple))
        (#\, (fmt0* "" "~x*," "~x* and " "~x*, " lst nil col channel
                    state evisc-tuple))
        (#\: (fmt0* "" "~x*:" "~x* and " "~x*, " lst nil col channel
                    state evisc-tuple))
        (#\; (fmt0* "" "~x*;" "~x* and " "~x*, " lst nil col channel
                    state evisc-tuple))
        (#\! (fmt0* "" "~x*!" "~x* and " "~x*, " lst nil col channel
                    state evisc-tuple))
        (#\) (fmt0* "" "~x*)" "~x* and " "~x*, " lst nil col channel
                    state evisc-tuple))
        (#\? (fmt0* "" "~x*?" "~x* and " "~x*, " lst nil col channel
                    state evisc-tuple))
        (otherwise
         (fmt0* "" "~x*" "~x* and " "~x*, " lst nil col channel
                state evisc-tuple))))
     (otherwise
      (case
          punct
        (#\. (fmt0* "" "~x*." "~x* or " "~x*, " lst nil col channel
                    state evisc-tuple))
        (#\, (fmt0* "" "~x*," "~x* or " "~x*, " lst nil col channel
                    state evisc-tuple))
        (#\: (fmt0* "" "~x*:" "~x* or " "~x*, " lst nil col channel
                    state evisc-tuple))
        (#\; (fmt0* "" "~x*;" "~x* or " "~x*, " lst nil col channel
                    state evisc-tuple))
        (#\! (fmt0* "" "~x*!" "~x* or " "~x*, " lst nil col channel
                    state evisc-tuple))
        (#\) (fmt0* "" "~x*)" "~x* or " "~x*, " lst nil col channel
                    state evisc-tuple))
        (#\? (fmt0* "" "~x*?" "~x* or " "~x*, " lst nil col channel
                    state evisc-tuple))
        (otherwise
         (fmt0* "" "~x*" "~x* or " "~x*, " lst nil col channel
                state evisc-tuple)))))))

(defun spell-number (n cap col channel state evisc-tuple)

; If n is an integerp we spell out the name of the cardinal number n
; (for a few cases) or else we just print the decimal representation
; of n.  E.g., n=4 makes us spell "four".  If n is a consp then we
; assume its car is an integer and we spell the corresponding ordinal
; number, e.g., n= '(4 . th) makes us spell "fourth".  We capitalize
; the word if cap is t.

  (declare (type (signed-byte 30) col))
  (the2s
   (signed-byte 30)
   (let ((str
          (cond ((integerp n)
                 (cond ((int= n 0) (if cap "Zero" "zero"))
                       ((int= n 1) (if cap "One" "one"))
                       ((int= n 2) (if cap "Two" "two"))
                       ((int= n 3) (if cap "Three" "three"))
                       ((int= n 4) (if cap "Four" "four"))
                       ((int= n 5) (if cap "Five" "five"))
                       ((int= n 6) (if cap "Six" "six"))
                       ((int= n 7) (if cap "Seven" "seven"))
                       ((int= n 8) (if cap "Eight" "eight"))
                       ((int= n 9) (if cap "Nine" "nine"))
                       ((int= n 10) (if cap "Ten" "ten"))
                       ((int= n 11) (if cap "Eleven" "eleven"))
                       ((int= n 12) (if cap "Twelve" "twelve"))
                       ((int= n 13) (if cap "Thirteen" "thirteen"))
                       (t "~x0")))
                ((and (consp n)
                      (<= 0 (car n))
                      (<= (car n) 13))
                 (cond ((int= (car n) 0) (if cap "Zeroth" "zeroth"))
                       ((int= (car n) 1) (if cap "First" "first"))
                       ((int= (car n) 2) (if cap "Second" "second"))
                       ((int= (car n) 3) (if cap "Third" "third"))
                       ((int= (car n) 4) (if cap "Fourth" "fourth"))
                       ((int= (car n) 5) (if cap "Fifth" "fifth"))
                       ((int= (car n) 6) (if cap "Sixth" "sixth"))
                       ((int= (car n) 7) (if cap "Seventh" "seventh"))
                       ((int= (car n) 8) (if cap "Eighth" "eighth"))
                       ((int= (car n) 9) (if cap "Ninth" "ninth"))
                       ((int= (car n) 10) (if cap "Tenth" "tenth"))
                       ((int= (car n) 11) (if cap "Eleventh" "eleventh"))
                       ((int= (car n) 12) (if cap "Twelfth" "twelfth"))
                       (t (if cap "Thirteenth" "thirteenth"))))
                (t (let ((d (mod (abs (car n)) 10)))

; We print -11th, -12th, -13th, ... -20th, -21st, -22nd, etc., though
; what business anyone has using negative ordinals I can't imagine.

                     (cond ((or (int= d 0)
                                (> d 3)
                                (int= (car n) -11)
                                (int= (car n) -12)
                                (int= (car n) -13))
                            "~x0th")
                           ((int= d 1) "~x0st")
                           ((int= d 2) "~x0nd")
                           (t "~x0rd")))))))

     (fmt0 (the-string! str 'spell-number)
           (cond ((integerp n)
                  (cond ((and (<= 0 n) (<= n 13)) nil)
                        (t (list (cons #\0 n)))))
                 (t (cond ((and (<= 0 (car n)) (<= (car n) 13)) nil)
                          (t (list (cons #\0 (car n)))))))
           0 (the-fixnum! (length str) 'spell-number)
           col channel state evisc-tuple))))

(defun fmt-tilde-s (s col channel state)

; If s is a symbol or a string, we print it out, breaking on hyphens but not
; being fooled by fmt directives inside it.  We also allow s to be a number
; (not sure why this was ever allowed, but we continue to support it).  We
; return the new col and state.

  (declare (type (signed-byte 30) col))
  (the2s
   (signed-byte 30)
   (cond
    ((acl2-numberp s)
     (pprogn (prin1$ s channel state)
             (mv (flsz-atom s (print-base) (print-radix) col state) state)))
    ((stringp s)
     (fmt-tilde-s1 s 0 (the-fixnum! (length s) 'fmt-tilde-s) col
                   channel state))
    (t
     (let ((str (symbol-name s)))
       (cond
        ((keywordp s)
         (cond
          ((needs-slashes str state)
           (splat-atom s (print-base) (print-radix) 0 col channel state))
          (t (fmt0 ":~s0" (list (cons #\0 str)) 0 4 col channel state nil))))
        ((symbol-in-current-package-p s state)
         (cond
          ((needs-slashes str state)
           (splat-atom s (print-base) (print-radix) 0 col channel state))
          (t (fmt-tilde-s1 str 0
                           (the-fixnum! (length str) 'fmt-tilde-s)
                           col channel state))))
        (t
         (let ((p (symbol-package-name s)))
           (cond
            ((or (needs-slashes p state)
                 (needs-slashes str state))
             (splat-atom s (print-base) (print-radix) 0 col channel state))
            (t (fmt0 "~s0::~-~s1"
                     (list (cons #\0 p)
                           (cons #\1 str))
                     0 10 col channel state nil)))))))))))

(defun fmt-tilde-cap-s (s col channel state)

; This variant of fmt-tilde-s avoids printing newlines during the printing of
; s.

  (declare (type (signed-byte 30) col))
  (the2s
   (signed-byte 30)
   (cond
    ((acl2-numberp s)
     (splat-atom! s (print-base) (print-radix) col channel state))
    ((stringp s)
     (fmt-tilde-cap-s1 s 0 (the-fixnum! (length s) 'fmt-tilde-s) col
                       channel state))
    (t
     (let ((str (symbol-name s)))
       (cond
        ((keywordp s)
         (cond
          ((needs-slashes str state)
           (splat-atom! s (print-base) (print-radix) col channel state))
          (t (fmt0 ":~S0" (list (cons #\0 str)) 0 4 col channel state nil))))
        ((symbol-in-current-package-p s state)
         (cond
          ((needs-slashes str state)
           (splat-atom! s (print-base) (print-radix) col channel state))
          (t (fmt-tilde-cap-s1 str 0
                               (the-fixnum! (length str) 'fmt-tilde-s)
                               col channel state))))
        (t
         (let ((p (symbol-package-name s)))
           (cond
            ((or (needs-slashes p state)
                 (needs-slashes str state))
             (splat-atom! s (print-base) (print-radix) col channel state))
            (t (fmt0 "~S0::~S1"
                     (list (cons #\0 p)
                           (cons #\1 str))
                     0 10 col channel state nil)))))))))))

(defun fmt0 (s alist i maximum col channel state evisc-tuple)
  (declare (type (signed-byte 30) i maximum col)
           (type string s))

; WARNING:  If you add new tilde-directives update :DOC fmt and the
; copies in :DOC fmt1 and :DOC fms.

  (declare (type (signed-byte 30) col))
  (the2s
   (signed-byte 30)
   (cond
    ((>= i maximum)
     (mv (the (signed-byte 30) col) state))
    (t
     (let ((c (charf s i)))
       (declare (type character c))
       (cond
        ((eql c #\~)
         (let ((fmc (the character (fmt-char s i 1 maximum t))))
           (declare (type character fmc))
           (case
            fmc
             ((#\p #\q #\P #\Q #\x #\y #\X #\Y)

; The only difference between pqPQ and xyXY is that the former can cause infix
; printing.  (But see the comment below about "hyphenate" for how we can cause
; the latter to enable hyphenation.)  However, as of this writing (Jan. 2009)
; it is far from clear that infix printing still works; so we consider it to be
; deprecated.  Infix printing assumes the term has already been untranslated.

; The difference between the lowercase directives and the uppercase ones is
; that the uppercase ones take two fmt-vars, e.g., ~X01, and use the contents
; of the second one as the evisceration value.  Otherwise the uppercase
; directives behave as their lowercase counterparts.

; On symbols, ~x and ~y are alike and just print starting in col.  On non-
; symbols they both prettyprint.  But ~y starts printing in col while ~x may do
; a terpri and indent first.  ~x concludes with a terpri if it put out a terpri
; before printing.  ~y always concludes with a terpri on non-symbols, so you
; know where you end up.

              (maybe-newline
               (let* ((caps (or (eql fmc #\P) (eql fmc #\Q)
                                (eql fmc #\X) (eql fmc #\Y)))
                      (px (or (eql fmc #\p) (eql fmc #\P)
                              (eql fmc #\x) (eql fmc #\X)))
                      (qy (not px))
                      (pq (or (eql fmc #\p) (eql fmc #\P)
                              (eql fmc #\q) (eql fmc #\Q)))
                      (local-evisc-tuple
                       (cond (caps
                              (fmt-var s alist (1+f i) maximum))
                             (t evisc-tuple)))
                      (evisc-table (table-alist 'evisc-table (w state)))
                      (eviscp (or local-evisc-tuple evisc-table)))
                 (mv-let
                  (x state)
                  (cond (eviscp (eviscerate-top
                                 (fmt-var s alist i maximum)
                                 (cadr local-evisc-tuple)   ;;; print-level
                                 (caddr local-evisc-tuple)  ;;; print-length
                                 (car local-evisc-tuple)    ;;; alist
                                 evisc-table
                                 (cadddr local-evisc-tuple) ;;; hiding-cars
                                 state))
                        (t (mv (fmt-var s alist i maximum)
                               state)))

; Through Version_3.4, ACL2 could hyphenate rule names during proof commentary
; because of the following COND branch in the case of ~x/~y/~X/~Y (though
; fmt-symbol-name has since been renamed as fmt-tilde-s).  We have decided to
; opt instead for uniform treatment of ~x/~y/~X/~Y and ~p/~q/~P/~Q, modulo
; potential support for infix printing for the latter group (which we may
; eliminate in the future).  By avoiding hyphenation we make it easier for a
; user to grab a rule name from the output, though now one might want to do
; some hyphenation by hand when preparing proof output for publication.

;                   ((and (or (symbolp x)
;                             (acl2-numberp x))
;                         (member-eq fmc '(#\x #\y #\X #\Y)))
;                    (mv-letc (col state)
;                             (fmt-tilde-s x col channel state)
;                             (fmt0 s alist
;                                   (+f i (if (or (eql fmc #\X)
;                                                 (eql fmc #\Y))
;                                             4
;                                           3))
;                                   maximum col channel state evisc-tuple)))

                  (let ((fmt-hard-right-margin
                         (fmt-hard-right-margin state)))
                    (declare (type (signed-byte 30) fmt-hard-right-margin))
                    (let ((sz (flsz x pq col fmt-hard-right-margin state
                                    eviscp)))
                      (declare (type (signed-byte 30) sz))
                      (cond
                       ((and px
                             (> col (the-fixnum *fmt-ppr-indentation*))
                             (>= sz fmt-hard-right-margin)
                             (not (>= (flsz x
                                            pq
                                            (the-fixnum
                                             *fmt-ppr-indentation*)
                                            fmt-hard-right-margin
                                            state eviscp)
                                      fmt-hard-right-margin)))
                        (pprogn
                         (newline channel state)
                         (spaces1 (the-fixnum *fmt-ppr-indentation*) 0
                                  fmt-hard-right-margin
                                  channel state)
                         (fmt0 s alist i maximum
                               (the-fixnum *fmt-ppr-indentation*)
                               channel state evisc-tuple)))
                       ((or qy
                            (>= sz fmt-hard-right-margin))
                        (pprogn
                         (cond (qy
                                state)
                               ((= col 0) state)
                               (t (newline channel state)))
                         (if qy
                             state
                           (spaces1 (the-fixnum *fmt-ppr-indentation*)
                                    0 fmt-hard-right-margin channel state))
                         (let ((c (fmt-char s i
                                            (the-fixnum
                                             (if caps
                                                 4
                                               3))
                                            maximum nil)))
                           (cond ((punctp c)
                                  (pprogn
                                   (fmt-ppr
                                    x
                                    pq
                                    (+f fmt-hard-right-margin
                                        (-f (if qy
                                                col
                                              *fmt-ppr-indentation*)))
                                    1
                                    (the-fixnum
                                     (if qy
                                         col
                                       *fmt-ppr-indentation*))
                                    channel state eviscp)
                                   (princ$ c channel state)
                                   (newline channel state)
                                   (fmt0 s alist
                                         (scan-past-whitespace
                                          s
                                          (+f i (if caps
                                                    5
                                                  4))
                                          maximum)
                                         maximum 0 channel state
                                         evisc-tuple)))
                                 (t
                                  (pprogn
                                   (fmt-ppr
                                    x
                                    pq
                                    (+f fmt-hard-right-margin
                                        (-f (if qy
                                                col
                                              *fmt-ppr-indentation*)))
                                    0
                                    (the-fixnum
                                     (if qy
                                         col
                                       *fmt-ppr-indentation*))
                                    channel state eviscp)
                                   (newline channel state)
                                   (fmt0 s alist
                                         (scan-past-whitespace
                                          s
                                          (+f i (if caps
                                                    4
                                                  3))
                                          maximum)
                                         maximum 0 channel state
                                         evisc-tuple)))))))
                       (t (pprogn
                           (flpr x pq channel state eviscp)
                           (fmt0 s alist
                                 (+f i (if caps
                                           4
                                         3))
                                 maximum sz
                                 channel state evisc-tuple))))))))))
             (#\@ (let ((s1 (fmt-var s alist i maximum)))
                    (mv-letc (col state)
                             (cond ((stringp s1)
                                    (fmt0 s1 alist 0
                                          (the-fixnum! (length s1) 'fmt0)
                                          col channel state evisc-tuple))
                                   ((consp s1)
                                    (fmt0 (car s1)
                                          (append (cdr s1) alist)
                                          0
                                          (the-fixnum! (length (car s1)) 'fmt0)
                                          col channel state evisc-tuple))
                                   (t (mv (er-hard-val 0 'fmt0
                                              "Illegal Fmt Syntax.  The ~
                                               tilde-@ directive at position ~
                                               ~x0 of the string below is ~
                                               illegal because its variable ~
                                               evaluated to ~x1, which is ~
                                               neither a string nor a ~
                                               list.~|~%~x2"
                                              i s1 s)
                                          state)))
                             (fmt0 s alist (+f i 3) maximum col
                                   channel state evisc-tuple))))
             (#\# (let ((n (find-alternative-start
                            (fmt-var s alist i maximum) s i maximum)))
                    (declare (type (signed-byte 30) n))
                    (let ((m (find-alternative-stop s n maximum)))
                      (declare (type (signed-byte 30) m))
                      (let ((o (find-alternative-skip s m maximum)))
                        (declare (type (signed-byte 30) o))
                        (mv-letc (col state) (fmt0 s alist
                                                   (the-fixnum n)
                                                   (the-fixnum m)
                                                   col channel
                                                   state evisc-tuple)
                                 (fmt0 s alist (the-fixnum o) maximum
                                       col channel state evisc-tuple))))))
             (#\* (let ((x (fmt-var s alist i maximum)))
                    (mv-letc (col state)
                             (fmt0* (car x) (cadr x) (caddr x) (cadddr x)
                                    (car (cddddr x))
                                    (append (cdr (cddddr x)) alist)
                                    col channel state evisc-tuple)
                             (fmt0 s alist (+f i 3) maximum col
                                   channel state evisc-tuple))))
             (#\& (let ((i+3 (+f i 3)))
                    (declare (type (signed-byte 30) i+3))
                    (mv-letc (col state)
                             (fmt0&v '&
                                     (fmt-var s alist i maximum)
                                     (punctp (and (< i+3 maximum)
                                                  (char s i+3)))
                                     col channel state evisc-tuple)
                             (fmt0 s alist
                                   (the-fixnum
                                    (cond
                                     ((punctp (and (< i+3 maximum)
                                                   (char s i+3)))
                                      (+f i 4))
                                     (t i+3)))
                                   maximum
                                   col channel state evisc-tuple))))
             (#\v (let ((i+3 (+f i 3)))
                    (declare (type (signed-byte 30) i+3))
                    (mv-letc (col state)
                             (fmt0&v 'v
                                     (fmt-var s alist i maximum)
                                     (punctp (and (< i+3 maximum)
                                                  (char s i+3)))
                                     col channel state evisc-tuple)
                             (fmt0 s alist
                                   (the-fixnum
                                    (cond
                                     ((punctp (and (< i+3 maximum)
                                                   (char s i+3)))
                                      (+f i 4))
                                     (t i+3)))
                                   maximum
                                   col channel state evisc-tuple))))
             (#\n (maybe-newline
                   (mv-letc (col state)
                            (spell-number (fmt-var s alist i maximum)
                                          nil col channel state evisc-tuple)
                            (fmt0 s alist (+f i 3) maximum col channel
                                  state evisc-tuple))))
             (#\N (maybe-newline
                   (mv-letc (col state)
                            (spell-number (fmt-var s alist i maximum)
                                          t col channel state evisc-tuple)
                            (fmt0 s alist (+f i 3) maximum col channel
                                  state evisc-tuple))))
             (#\t (maybe-newline
                   (let ((goal-col (fmt-var s alist i maximum))
                         (fmt-hard-right-margin (fmt-hard-right-margin state)))
                     (declare (type (signed-byte 30)
                                    goal-col fmt-hard-right-margin))
                     (pprogn
                      (cond ((> goal-col fmt-hard-right-margin)
                             (let ((er (er hard 'fmt0
                                           "It is illegal to tab past the ~
                                            value of (@ ~
                                            fmt-hard-right-margin), ~x0, and ~
                                            hence the directive ~~t~s1 to tab ~
                                            to column ~x2 is illegal.  See ~
                                            :DOC set-fmt-hard-right-margin."
                                           fmt-hard-right-margin
                                           (string (fmt-char s i 2 maximum t))
                                           goal-col)))
                               (declare (ignore er))
                               state))
                            ((>= col goal-col)
                             (pprogn (newline channel state)
                                     (spaces1 (the-fixnum goal-col) 0
                                              fmt-hard-right-margin
                                              channel state)))
                            (t (spaces1 (-f goal-col col) col
                                        fmt-hard-right-margin
                                        channel state)))
                      (fmt0 s alist (+f i 3) maximum
                            (the-fixnum goal-col)
                            channel state evisc-tuple)))))
             (#\c (maybe-newline
                   (let ((pair (fmt-var s alist i maximum)))
                     (cond ((and (consp pair)
                                 (integerp (car pair))
                                 (integerp (cdr pair))
                                 (>= (cdr pair) 0))
                            (mv-letc (col state)
                                     (left-pad-with-blanks (car pair)
                                                           (cdr pair)
                                                           col channel state)
                                     (fmt0 s alist (+f i 3) maximum col channel
                                           state evisc-tuple)))
                           (t (mv (er-hard-val 0 'fmt0
                                      "Illegal Fmt Syntax.  The tilde-c ~
                                       directive at position ~x0 of the string ~
                                       below is illegal because its variable ~
                                       evaluated to ~x1, which is not of the ~
                                       form (n . width), where n and width are ~
                                       integers and width is ~
                                       nonnegative.~|~%~x2"
                                      i pair s)
                                  state))))))
             ((#\f #\F)
              (maybe-newline
               (mv-letc (col state)
                        (splat (fmt-var s alist i maximum)
                               (print-base) (print-radix)
                               (if (eql fmc #\F) (1+f col) 0)
                               col channel state)
                        (fmt0 s alist (+f i 3) maximum col channel
                              state evisc-tuple))))
             (#\s (maybe-newline
                   (mv-letc (col state)
                            (fmt-tilde-s (fmt-var s alist i maximum) col
                                         channel state)
                            (fmt0 s alist (+f i 3) maximum col channel
                                  state evisc-tuple))))
             (#\S (maybe-newline
                   (mv-letc (col state)
                            (fmt-tilde-cap-s (fmt-var s alist i maximum) col
                                             channel state)
                            (fmt0 s alist (+f i 3) maximum col channel
                                  state evisc-tuple))))
             (#\Space (let ((fmt-hard-right-margin
                             (fmt-hard-right-margin state)))
                        (declare (type (signed-byte 30) fmt-hard-right-margin))
                        (pprogn
                         (cond ((> col fmt-hard-right-margin)
                                (newline channel state))
                               (t state))
                         (princ$ #\Space channel state)
                         (fmt0 s alist (+f i 2) maximum
                               (cond ((> col fmt-hard-right-margin)
                                      1)
                                     (t (1+f col)))
                               channel state evisc-tuple))))
             (#\_ (maybe-newline
                   (let ((fmt-hard-right-margin
                          (fmt-hard-right-margin state)))
                     (declare (type (signed-byte 30) fmt-hard-right-margin))
                     (let ((n (the-half-fixnum! (fmt-var s alist i maximum)
                                                'fmt0)))
                       (declare (type (signed-byte 30) n))
                       (let ((new-col (+f col n)))
                         (declare (type (signed-byte 30) new-col))
                         (pprogn
                          (spaces n col channel state)
                          (cond
                           ((> new-col fmt-hard-right-margin)
                            (newline channel state))
                           (t state))
                          (fmt0 s alist (+f i 3) maximum
                                (the-fixnum
                                 (cond
                                  ((> new-col fmt-hard-right-margin)
                                   0)
                                  (t new-col)))
                                channel state evisc-tuple)))))))
             (#\Newline
              (fmt0 s alist (scan-past-whitespace s (+f i 2) maximum)
                    maximum col channel state evisc-tuple))
             (#\| (pprogn
                   (if (int= col 0) state (newline channel state))
                   (fmt0 s alist (+f i 2)
                         maximum 0 channel state evisc-tuple)))
             (#\% (pprogn
                   (newline channel state)
                   (fmt0 s alist (+f i 2)
                         maximum 0 channel state evisc-tuple)))
             (#\~ (maybe-newline
                   (pprogn
                    (princ$ #\~ channel state)
                    (fmt0 s alist (+f i 2) maximum (1+f col) channel
                          state evisc-tuple))))
             (#\- (cond ((> col (fmt-soft-right-margin state))
                         (pprogn
                          (princ$ #\- channel state)
                          (newline channel state)
                          (fmt0 s alist
                                (scan-past-whitespace s (+f i 2) maximum)
                                maximum 0 channel state evisc-tuple)))
                        (t (fmt0 s alist (+f i 2) maximum col channel
                                 state evisc-tuple))))
             (otherwise (let ((x
                               (er hard 'fmt0
                                   "Illegal Fmt Syntax.  The tilde ~
                                     directive at position ~x0 of the ~
                                     string below is unrecognized.~|~%~x1"
                                   i s)))
                          (declare (ignore x))
                          (mv 0 state))))))
        ((and (> col (fmt-soft-right-margin state))
              (eql c #\Space))
         (pprogn (newline channel state)
                 (fmt0 s alist
                       (scan-past-whitespace s (+f i 1) maximum)
                       maximum
                       0 channel state evisc-tuple)))
        ((and (>= col (fmt-soft-right-margin state))
              (eql c #\-))
         (pprogn (princ$ c channel state)
                 (newline channel state)
                 (fmt0 s alist
                       (scan-past-whitespace s (+f i 1) maximum)
                       maximum
                       0 channel state evisc-tuple)))
;       ((and (eql c #\Space)
; I cut out this code in response to Kaufmann's complaint 38.  The idea is
; *not* to ignore spaces after ~% directives.  I've left the code here to
; remind me of what I used to do, in case I see output that is malformed.
;            (int= col 0))
;       (fmt0 s alist (+f i 1) maximum 0 channel state evisc-tuple))
        (t (maybe-newline
            (pprogn (princ$ c channel state)
                    (fmt0 s alist (+f i 1) maximum
                          (if (eql c #\Newline) 0 (+f col 1))
                          channel state evisc-tuple))))))))))

)

(defun tilde-*-&v-strings (flg lst punct)

; This function returns an object that when bound to #\0 will cause
; ~*0 to print a conjunction (flg='&) or disjunction (flg='v) of the
; strings in lst, followed by punctuation punct, which must be #\. or
; #\,.

; WARNING:  This displayed strings are not equal to the strings in lst
; because whitespace may be inserted!

; ~& doesn't print a list of short strings very well because the first
; group is printed flat across the line, then when the line gets too
; long, the next string is indented and followed by a newline, which
; allows another bunch to be printed flat.  This function prints them
; with ~s which actually breaks the strings up internally in a way
; that does not preserve their equality.  "history-management.lisp"
; might have a newline inserted after the hyphen.

  (case
   flg
   (&
    (case
     punct
     (#\. (list "" "\"~s*\"." "\"~s*\" and " "\"~s*\", " lst))
     (#\, (list "" "\"~s*\"," "\"~s*\" and " "\"~s*\", " lst))
     (#\: (list "" "\"~s*\":" "\"~s*\" and " "\"~s*\", " lst))
     (#\; (list "" "\"~s*\";" "\"~s*\" and " "\"~s*\", " lst))
     (#\! (list "" "\"~s*\"!" "\"~s*\" and " "\"~s*\", " lst))
     (#\) (list "" "\"~s*\")" "\"~s*\" and " "\"~s*\", " lst))
     (#\? (list "" "\"~s*\"?" "\"~s*\" and " "\"~s*\", " lst))
     (otherwise
      (list "" "\"~s*\"" "\"~s*\" and " "\"~s*\", " lst))))
   (otherwise
    (case
     punct
     (#\. (list "" "\"~s*\"." "\"~s*\" or " "\"~s*\", " lst))
     (#\, (list "" "\"~s*\"," "\"~s*\" or " "\"~s*\", " lst))
     (#\: (list "" "\"~s*\":" "\"~s*\" or " "\"~s*\", " lst))
     (#\; (list "" "\"~s*\";" "\"~s*\" or " "\"~s*\", " lst))
     (#\! (list "" "\"~s*\"!" "\"~s*\" or " "\"~s*\", " lst))
     (#\) (list "" "\"~s*\")" "\"~s*\" or " "\"~s*\", " lst))
     (#\? (list "" "\"~s*\"?" "\"~s*\" or " "\"~s*\", " lst))
     (otherwise
      (list "" "\"~s*\"" "\"~s*\" or " "\"~s*\", " lst))))))

(defun fmt1 (str alist col channel state evisc-tuple)

; WARNING:  The master copy of the tilde-directives list is in :DOC fmt.

  (declare (type (signed-byte 30) col))
  (the2s
   (signed-byte 30)
   (mv-let (col state)
           (fmt0 (the-string! str 'fmt1) alist 0
                 (the-fixnum! (length str) 'fmt1)
                 (the-fixnum! col 'fmt1)
                 channel state evisc-tuple)
           (declare (type (signed-byte 30) col))
           (prog2$ (and (eq channel *standard-co*)
                        (maybe-finish-output$ *standard-co* state))
                   (mv col state)))))

(defun fmt (str alist channel state evisc-tuple)

; WARNING: IF you change the list of tilde-directives, change the copy of it in
; the :DOC for fmt1 and fms.

; For a discussion of our style of pretty-printing, see
; http://www.cs.utexas.edu/~boyer/pretty-print.pdf.

  (the2s
   (signed-byte 30)
   (pprogn
    (newline channel state)
    (fmt1 str alist 0 channel state evisc-tuple))))

(defun fms (str alist channel state evisc-tuple)

; WARNING: The master copy of the tilde-directives list is in :DOC fmt.

  (pprogn
   (newline channel state)
   (mv-let (col state)
           (fmt1 str alist 0 channel state evisc-tuple)
           (declare (ignore col))
           state)))

(defun fmt1! (str alist col channel state evisc-tuple)

; WARNING: The master copy of the tilde-directives list is in :DOC fmt.

  (mv-let (erp col state)
          (state-global-let*
           ((write-for-read t))
           (mv-let (col state)
                   (fmt1 str alist col channel state evisc-tuple)
                   (mv nil col state)))
          (declare (ignore erp))
          (mv col state)))

(defun fmt! (str alist channel state evisc-tuple)

; WARNING: The master copy of the tilde-directives list is in :DOC fmt.

  (mv-let (erp col state)
          (state-global-let*
           ((write-for-read t))
           (mv-let (col state)
                   (fmt str alist channel state evisc-tuple)
                   (mv nil col state)))
          (declare (ignore erp))
          (mv col state)))

(defun fms! (str alist channel state evisc-tuple)

; WARNING: The master copy of the tilde-directives list is in :DOC fmt.

  (mv-let (erp val state)
          (state-global-let*
           ((write-for-read t))
           (pprogn (fms str alist channel state evisc-tuple)
                   (mv nil nil state)))
          (declare (ignore erp val))
          state))

(defmacro fmx (str &rest args)
  (declare (xargs :guard (<= (length args) 10)))
  `(fmt ,str ,(make-fmt-bindings '(#\0 #\1 #\2 #\3 #\4
                                   #\5 #\6 #\7 #\8 #\9)
                                 args)
        *standard-co* state nil))

(defun fmt-doc-example1 (lst i)
  (cond ((null lst) nil)
        (t (cons (cons "~c0 (~n1)~tc~y2~|"
                       (list (cons #\0 (cons i 5))
                             (cons #\1 (list i))
                             (cons #\2 (car lst))))
                 (fmt-doc-example1 (cdr lst) (1+ i))))))

(defun fmt-doc-example (x state)
  (fmt "Here is a true list:  ~x0.  It has ~#1~[no elements~/a single ~
        element~/~n2 elements~], ~@3~%~%We could print each element in square ~
        brackets:~%(~*4).  And if we wished to itemize them into column 15 we ~
        could do it like this~%0123456789012345~%~*5End of example."
       (list (cons #\0 x)
             (cons #\1 (cond ((null x) 0) ((null (cdr x)) 1)(t 2)))
             (cons #\2 (length x))
             (cons #\3 (cond ((< (length x) 3) "and so we can't print the third one!")
                             (t (cons "the third of which is ~x0."
                                      (list (cons #\0 (caddr x)))))))
             (cons #\4 (list "[empty]"
                             "[the end: ~y*]"
                             "[almost there: ~y*], "
                             "[~y*], "
                             x))
             (cons #\5 (list* "" "~@*" "~@*" "~@*"
                              (fmt-doc-example1 x 0)
                              (list (cons #\c 15)))))
         *standard-co* state nil))

(defun fmt-abbrev1 (str alist col channel state suffix-msg)
  (pprogn
   (f-put-global 'evisc-hitp-without-iprint nil state)
   (mv-let (col state)
           (fmt1 str alist col channel state (abbrev-evisc-tuple state))
           (fmt1 "~@0~@1"
                 (list
                  (cons #\0
                        (cond ((f-get-global 'evisc-hitp-without-iprint
                                             state)
                               (assert$
                                (not (iprint-enabledp state))
                                "~|(See :DOC set-iprint to be able to see ~
                                 elided values in this message.)"))
                              (t "")))
                  (cons #\1 suffix-msg))
                 col channel state nil))))

(defun fmt-abbrev (str alist col channel state suffix-msg)
  (mv-let (col state)
          (fmt-abbrev1 str alist col channel state suffix-msg)
          (declare (ignore col))
          state))

(defconst *fmt-ctx-spacers*
  '(defun
     #+:non-standard-analysis defun-std
     mutual-recursion
     defuns
     defthm
     #+:non-standard-analysis defthm-std
     defaxiom
     defconst
     defstobj defabsstobj
     defpkg
     deflabel
     deftheory
     defchoose
     verify-guards
     verify-termination
     defmacro
     in-theory
     in-arithmetic-theory
     regenerate-tau-database
     push-untouchable
     remove-untouchable
     reset-prehistory
     set-body
     table
     encapsulate
     include-book))

(defun fmt-ctx (ctx col channel state)

; We print the context in which an error has occurred.  If infix printing is
; being used (infixp = t or :out) then ctx is just the event form itself and we
; print it with evisceration.  Otherwise, we are more efficient in our choice
; of ctx and we interpret it according to its type, to make it convenient to
; construct the more common contexts.  If ctx is nil, we print nothing.  If ctx
; is a symbol, we print it from #\0 via "~x0".  If ctx is a pair whose car is a
; symbol, we print its car and cdr from #\0 and #\1 respectively with "(~x0 ~x1
; ...)".  Otherwise, we print it from #\0 with "~@0".

; We print no other words, spaces or punctuation.  We return the new
; col and state.

  (declare (type (signed-byte 30) col))

; The following bit of raw-Lisp code can be useful when observing
; "ACL2 Error in T:".

; #-acl2-loop-only
; (when (eq ctx t) (break))

  (the2s
   (signed-byte 30)
   (cond #+acl2-infix
         ((output-in-infixp state)
          (fmt1 "~p0"
                (list (cons #\0 ctx))
                col channel state
                (evisc-tuple 1 2 nil nil)))
         ((null ctx)
          (mv col state))
         ((symbolp ctx)
          (fmt1 "~x0" (list (cons #\0 ctx)) col channel state nil))
         ((and (consp ctx)
               (symbolp (car ctx)))
          (fmt1 "(~@0~x1 ~x2 ...)"
                (list (cons #\0
                            (if (member-eq (car ctx) *fmt-ctx-spacers*) " " ""))
                      (cons #\1 (car ctx))
                      (cons #\2 (cdr ctx)))
                col channel state nil))
         (t (fmt-abbrev1 "~@0" (list (cons #\0 ctx)) col channel state "")))))

(defun fmt-in-ctx (ctx col channel state)

; We print the phrase " in ctx:  ", if ctx is non-nil, and return
; the new col and state.

  (declare (type (signed-byte 30) col))
  (the2s
   (signed-byte 30)
   (cond ((null ctx)
          (fmt1 ":  " nil col channel state nil))
         (t (mv-let (col state)
                    (fmt1 " in " nil col channel state nil)
                    (mv-let (col state)
                            (fmt-ctx ctx col channel state)
                            (fmt1 ":  " nil col channel state nil)))))))

(defun error-fms-channel (hardp ctx str alist channel state)

; This function prints the "ACL2 Error" banner and ctx, then the
; user's str and alist, and then two carriage returns.  It returns state.

; Historical Note about ACL2

; Once upon a time we accomplished all this with something like: "ACL2
; Error (in ~xc): ~@s~%~%" and it bound #\c and #\s to ctx and str in
; alist.  That suffers from the fact that it may overwrite the user's
; bindings of #\c and #\s -- unlikely if this error call was generated
; by our er macro.  We rewrote the function this way simply so we
; would not have to remember that some variables are special.

  (mv-let (col state)
          (fmt1 (if hardp
                    "HARD ACL2 ERROR"
                  "ACL2 Error")
                nil 0 channel state nil)
          (mv-let (col state)
                  (fmt-in-ctx ctx col channel state)
                  (fmt-abbrev str alist col channel state ""))))

(defun error-fms (hardp ctx str alist state)

; See error-fms-channel.  Here we also print extra newlines.

; Keep in sync with error-fms-cw.

  (with-output-lock
   (let ((chan (f-get-global 'standard-co state)))
     (pprogn (newline chan state)
             (newline chan state)
             (error-fms-channel hardp ctx str alist chan state)
             (newline chan state)
             (newline chan state)))))

#-acl2-loop-only
(defvar *accumulated-warnings* nil)

(defun push-warning-frame (state)
  #-acl2-loop-only
  (setq *accumulated-warnings*
        (cons nil *accumulated-warnings*))
  state)

(defun absorb-frame (lst stk)
  (if (consp stk)
      (cons (union-equal lst (car stk))
            (cdr stk))
    stk))

(defun pop-warning-frame (accum-p state)

; When a "compound" event has a "sub-event" that generates warnings, we want
; the warning strings from the sub-event's summary to appear in the parent
; event's summary.  Accum-p should be nil if and only if the sub-event whose
; warning frame we are popping had its warnings suppressed.

; Starting after Version_4.1, we use the ACL2 oracle to explain warning frames.
; Previously we kept these frames with a state global variable,
; 'accumulated-warnings, rather than in the raw lisp variable,
; *accumulated-warnings*.  But then we introduced warning$-cw1 to support the
; definitions of translate1-cmp and translate-cmp, which do not modify the ACL2
; state.  Since warning$-cw1 uses a wormhole, the warning frames based on a
; state global variable were unavailable when printing warning summaries.

  #+acl2-loop-only
  (declare (ignore accum-p))
  #+acl2-loop-only
  (mv-let (erp val state)
          (read-acl2-oracle state)
          (declare (ignore erp))
          (mv val state))
  #-acl2-loop-only
  (let ((stk *accumulated-warnings*))
    (cond ((consp stk)
           (progn (setq *accumulated-warnings*
                        (if accum-p
                            (absorb-frame (car stk)
                                          (cdr stk))
                          (cdr stk)))
                  (mv (car stk) state)))
          (t (mv (er hard 'pop-warning-frame
                     "The 'accumulated-warnings stack is empty.")
                 state)))))

(defun push-warning (summary state)
  #+acl2-loop-only
  (declare (ignore summary))
  #-acl2-loop-only
  (when (consp *accumulated-warnings*)

; We used to cause an error, shown below, if the above test fails.  But
; WARNINGs are increasingly used by non-events, such as :trans and (thm ...)
; and rather than protect them all with push-warning-frame/pop-warning-frame we
; are just adopting the policy of not pushing warnings if the stack isn't set
; up for them.  Here is the old code.

;            (prog2$ (er hard 'push-warning
;                        "The 'accumulated-warnings stack is empty but we were ~
;                         asked to add ~x0 to the top frame."
;                        summary)
;                     state)

    (setq *accumulated-warnings*
          (cons (add-to-set-equal summary (car *accumulated-warnings*))
                (cdr *accumulated-warnings*))))
  state)

; The ACL2 Record Facilities

; Our record facility gives us the ability to declare "new" types of
; structures which are represented as lists.  If desired the lists
; are tagged with the name of the new record type.  Otherwise they are
; not tagged and are called "cheap" records.

; The expression (DEFREC SHIP (X . Y) NIL) declares SHIP to
; be a tagged (non-cheap) record of two components X and Y.  An
; example concrete SHIP is '(SHIP 2 . 4).  Note that cheapness refers
; only to whether the record is tagged and whether the tag is tested
; upon access and change, not whether the final cdr is used.

; To make a ship:  (MAKE SHIP :X x :Y y) or (MAKE SHIP :Y y :X x).
; To access the Xth component of the ship object obj: (ACCESS SHIP obj :X).
; To change the Xth component to val: (CHANGE SHIP obj :X val).
; Note the use of keywords in these forms.

; It is possible to change several fields at once, e.g.,
; (CHANGE SHIP obj :X val-x :Y val-y).  In general, to cons up a changed
; record one only does the conses necessary.

; The implementation of records is as follows.  DEFREC expands
; into a collection of macro definitions for certain generated function
; symbols.  In the example above we define the macros:

; |Make SHIP record|
; |Access SHIP record field X|
; |Access SHIP record field Y|
; |Change SHIP record fields|

; The macro expression (MAKE SHIP ...) expands to a call of the first
; function.  (ACCESS SHIP ... :X) expands to a call of the second.
; (CHANGE SHIP obj :X val-x :Y val-y) expands to
; (|Change SHIP record fields| obj :X val-x :Y val-y).

; The five new symbols above are defined as macros that further expand
; into raw CAR/CDR nests if the record is cheap and a similar nest
; that first checks the type of the record otherwise.

; In using the record facility I have sometimes pondered which fields I should
; allocate where to maximize access speed.  Other times I have just laid them
; out in an arbitrary fashion.  In any case, the following functions might be
; useful if you are wondering how to lay out a record.  That is, grab the
; following progn and execute it in the full ACL2 system.  (It cannot be
; executed at this point in basis.lisp because it uses functions defined
; elsewhere; it is here only to be easy to find when looking up the comments
; about records.)  Note that it changes the default-defun-mode to :program.  Then
; invoke :sbt n, where n is an integer.

; For example
; ACL2 g>:sbt 5

; The Binary Trees with Five Tips
; 2.400  ((2 . 2) 2 3 . 3)
; 2.600  (1 (3 . 3) 3 . 3)
; 2.800  (1 2 3 4 . 4)

; Sbt will print out all of the interesting binary trees with the
; given number of tips.  The integer appearing at a tip is the number
; of car/cdrs necessary to access that field of a cheap record laid
; out as shown.  That is also the number of conses required to change
; that single field.  The decimal number in the left column is the
; average number of car/cdrs required to access a field, assuming all
; fields are accessed equally often.  The number of trees generated
; grows exponentially with n.  Roughly 100 trees are printed for size
; 10.  Beware!

; The function (analyze-tree x state) is also helpful.  E.g.,

; ACL2 g>(analyze-tree '((type-alist . term) cl-ids rewrittenp
;                          force-flg . rune-or-non-rune)
;                        state)

; Shape:  ((2 . 2) 2 3 4 . 4)
; Field Depths:
; ((TYPE-ALIST . 2)
;  (TERM . 2)
;  (CL-IDS . 2)
;  (REWRITTENP . 3)
;  (FORCE-FLG . 4)
;  (RUNE-OR-NON-RUNE . 4))
; Avg Depth:  2.833

; (progn
;   (program)
;   (defun bump-binary-tree (tree)
;     (cond ((atom tree) (1+ tree))
;           (t (cons (bump-binary-tree (car tree))
;                    (bump-binary-tree (cdr tree))))))
;
;   (defun cons-binary-trees (t1 t2)
;     (cons (bump-binary-tree t1) (bump-binary-tree t2)))
;
;   (defun combine-binary-trees1 (t1 lst2 ans)
;     (cond ((null lst2) ans)
;           (t (combine-binary-trees1 t1 (cdr lst2)
;                                     (cons (cons-binary-trees t1 (car lst2))
;                                           ans)))))
;
;   (defun combine-binary-trees (lst1 lst2 ans)
;     (cond
;      ((null lst1) ans)
;      (t (combine-binary-trees (cdr lst1)
;                               lst2
;                               (combine-binary-trees1 (car lst1) lst2 ans)))))
;
;   (mutual-recursion
;
;    (defun all-binary-trees1 (i n)
;      (cond ((= i 0) nil)
;            (t (revappend (combine-binary-trees (all-binary-trees i)
;                                                (all-binary-trees (- n i))
;                                                nil)
;                          (all-binary-trees1 (1- i) n)))))
;
;    (defun all-binary-trees (n)
;      (cond ((= n 1) (list 0))
;            (t (all-binary-trees1 (floor n 2) n))))
;    )
;
;   (defun total-access-time-binary-tree (x)
;     (cond ((atom x) x)
;           (t (+ (total-access-time-binary-tree (car x))
;                 (total-access-time-binary-tree (cdr x))))))
;
;   (defun total-access-time-binary-tree-lst (lst)
;
; ; Pairs each tree in lst with its total-access-time.
;
;     (cond ((null lst) nil)
;           (t (cons (cons (total-access-time-binary-tree (car lst))
;                          (car lst))
;                    (total-access-time-binary-tree-lst (cdr lst))))))
;
;   (defun show-binary-trees1 (n lst state)
;     (cond ((null lst) state)
;           (t (let* ((tat (floor (* (caar lst) 1000) n))
;                     (d0 (floor tat 1000))
;                     (d1 (- (floor tat 100) (* d0 10)))
;                     (d2 (- (floor tat 10) (+ (* d0 100) (* d1 10))))
;                     (d3 (- tat (+ (* d0 1000) (* d1 100) (* d2 10)))))
;
;                (pprogn
;                 (mv-let (col state)
;                         (fmt1 "~x0.~x1~x2~x3  ~x4~%"
;                               (list (cons #\0 d0)
;                                     (cons #\1 d1)
;                                     (cons #\2 d2)
;                                     (cons #\3 d3)
;                                     (cons #\4 (cdar lst)))
;                               0
;                               *standard-co* state nil)
;                         (declare (ignore col))
;                         state)
;                 (show-binary-trees1 n (cdr lst) state))))))
;
;   (defun show-binary-trees (n state)
;     (let ((lst (reverse
;                 (merge-sort-car->
;                  (total-access-time-binary-tree-lst
;                   (all-binary-trees n))))))
;       (pprogn
;        (fms "The Binary Trees with ~N0 Tips~%"
;             (list (cons #\0 n))
;             *standard-co* state nil)
;        (show-binary-trees1 n lst state))))
;
;   (defun analyze-tree1 (x i)
;     (cond ((atom x) i)
;           (t (cons (analyze-tree1 (car x) (1+ i))
;                    (analyze-tree1 (cdr x) (1+ i))))))
;
;   (defun analyze-tree2 (x i)
;     (cond ((atom x) (list (cons x i)))
;           (t (append (analyze-tree2 (car x) (1+  i))
;                      (analyze-tree2 (cdr x) (1+  i))))))
;
;   (defun analyze-tree3 (x)
;     (cond ((atom x) 1)
;           (t (+ (analyze-tree3 (car x)) (analyze-tree3 (cdr x))))))
;
;   (defun analyze-tree (x state)
;     (let* ((binary-tree (analyze-tree1 x 0))
;            (alist (analyze-tree2 x 0))
;            (n (analyze-tree3 x))
;            (k (total-access-time-binary-tree binary-tree)))
;       (let* ((tat (floor (* k 1000) n))
;              (d0 (floor tat 1000))
;              (d1 (- (floor tat 100) (* d0 10)))
;              (d2 (- (floor tat 10) (+ (* d0 100) (* d1 10))))
;              (d3 (- tat (+ (* d0 1000) (* d1 100) (* d2 10)))))
;         (pprogn
;          (fms "Shape:  ~x0~%Field Depths:  ~x1~%Avg Depth:  ~x2.~x3~x4~x5~%"
;               (list (cons #\0 binary-tree)
;                     (cons #\1 alist)
;                     (cons #\2 d0)
;                     (cons #\3 d1)
;                     (cons #\4 d2)
;                     (cons #\5 d3))
;               *standard-co* state nil)
;          (value :invisible)))))
;
;   (defmacro sbt (n) `(pprogn (show-binary-trees ,n state) (value :invisible))))
;

(defun record-maker-function-name (name)
  (intern-in-package-of-symbol
   (coerce (append (coerce "Make " 'list)
                   (coerce (symbol-name name) 'list)
                   (coerce " record" 'list))
           'string)
   name))

; Record-accessor-function-name is now in axioms.lisp.

(defun record-changer-function-name (name)
  (intern-in-package-of-symbol
   (coerce
    (append (coerce "Change " 'list)
            (coerce (symbol-name name) 'list)
            (coerce " record fields" 'list))
    'string)
   name))

(defmacro make (&rest args)
  (cond ((keyword-value-listp (cdr args))
         (cons (record-maker-function-name (car args)) (cdr args)))
        (t (er hard 'record-error
               "Make was given a non-keyword as a field specifier.  ~
                The offending form is ~x0."
               (cons 'make args)))))

; Access is now in axioms.lisp.

(defmacro change (&rest args)
  (cond ((keyword-value-listp (cddr args))
         (cons (record-changer-function-name (car args)) (cdr args)))
        (t (er hard 'record-error
               "Change was given a non-keyword as a field specifier.  ~
                The offending form is ~x0."
               (cons 'change args)))))

(defun make-record-car-cdrs1 (lst var)
  (cond ((null lst) var)
        (t (list (car lst) (make-record-car-cdrs1 (cdr lst) var)))))

(defun make-record-car-cdrs (field-layout car-cdr-lst)
  (cond ((atom field-layout)
         (cond ((null field-layout) nil)
               (t (list (make-record-car-cdrs1 car-cdr-lst field-layout)))))
        (t (append (make-record-car-cdrs (car field-layout)
                                         (cons 'car car-cdr-lst))
                   (make-record-car-cdrs (cdr field-layout)
                                         (cons 'cdr car-cdr-lst))))))

(defun make-record-accessors (name field-lst car-cdrs cheap)
  (cond ((null field-lst) nil)
        (t
         (cons (cond
                (cheap
                 (list 'defabbrev
                       (record-accessor-function-name name (car field-lst))
                       (list (car field-lst))
                       (car car-cdrs)))
                (t (list 'defabbrev
                         (record-accessor-function-name name (car field-lst))
                         (list (car field-lst))
                         (sublis (list (cons 'name name)
                                       (cons 'x (car field-lst))
                                       (cons 'z (car car-cdrs)))
                                 '(prog2$ (or (and (consp x)
                                                   (eq (car x) (quote name)))
                                              (record-error (quote name) x))
                                          z)))))
               (make-record-accessors name
                                      (cdr field-lst)
                                      (cdr car-cdrs)
                                      cheap)))))

(defun symbol-name-tree-occur (sym sym-tree)

; Sym is a symbol -- in fact, a keyword in proper usage -- and
; sym-tree is a tree of symbols.  We ask whether a symbol with
; the same symbol-name as key occurs in sym-tree.  If so, we return
; that symbol.  Otherwise we return nil.

  (cond ((symbolp sym-tree)
         (cond ((equal (symbol-name sym) (symbol-name sym-tree))
                sym-tree)
               (t nil)))
        ((atom sym-tree)
         nil)
        (t (or (symbol-name-tree-occur sym (car sym-tree))
               (symbol-name-tree-occur sym (cdr sym-tree))))))

(defun some-symbol-name-tree-occur (syms sym-tree)
  (cond ((null syms) nil)
        ((symbol-name-tree-occur (car syms) sym-tree) t)
        (t (some-symbol-name-tree-occur (cdr syms) sym-tree))))

(defun make-record-changer-cons (fields field-layout x)

; Fields is the list of keyword field specifiers that are being
; changed.  Field-layout is the user's layout of the record.  X is the
; name of the variable holding the instance of the record.

  (cond ((not (some-symbol-name-tree-occur fields field-layout))
         x)
        ((atom field-layout)
         field-layout)
        (t
         (list 'cons
               (make-record-changer-cons fields
                                         (car field-layout)
                                         (list 'car x))
               (make-record-changer-cons fields
                                         (cdr field-layout)
                                         (list 'cdr x))))))

(defun make-record-changer-let-bindings (field-layout lst)

; Field-layout is the symbol tree provided by the user describing the
; layout of the fields.  Lst is the keyword/value list in a change
; form.  We want to bind each field name to the corresponding value.
; The only reason we take field-layout as an argument is that we
; don't know from :key which package 'key is in.

  (cond ((null lst) nil)
        (t (let ((var (symbol-name-tree-occur (car lst) field-layout)))
             (cond ((null var)
                    (er hard 'record-error
                        "A make or change form has used ~x0 as though ~
                         it were a legal field specifier in a record ~
                         with the layout ~x1."
                        (car lst)
                        field-layout))
                   (t
                    (cons (list var (cadr lst))
                          (make-record-changer-let-bindings field-layout
                                                            (cddr lst)))))))))

(defun make-record-changer-let (name field-layout cheap rec lst)
  (cond
   (cheap
    (list 'let (cons (list 'record-changer-not-to-be-used-elsewhere rec)
                     (make-record-changer-let-bindings field-layout lst))
          (make-record-changer-cons
           (evens lst)
           field-layout
           'record-changer-not-to-be-used-elsewhere)))
   (t
    (list 'let (cons (list 'record-changer-not-to-be-used-elsewhere rec)
                     (make-record-changer-let-bindings field-layout lst))
          (sublis
           (list (cons 'name name)
                 (cons 'cons-nest
                       (make-record-changer-cons
                        (evens lst)
                        field-layout
                        '(cdr record-changer-not-to-be-used-elsewhere))))
           '(prog2$ (or (and (consp record-changer-not-to-be-used-elsewhere)
                             (eq (car record-changer-not-to-be-used-elsewhere)
                                 (quote name)))
                        (record-error (quote name)
                                      record-changer-not-to-be-used-elsewhere))
                    (cons (quote name) cons-nest)))))))

(defun make-record-changer (name field-layout cheap)
  (list 'defmacro
        (record-changer-function-name name)
        '(&rest args)
        (list 'make-record-changer-let
              (kwote name)
              (kwote field-layout)
              cheap
              '(car args)
              '(cdr args))))

(defun make-record-maker-cons (fields field-layout)

; Fields is the list of keyword field specifiers being initialized in
; a record.  Field-layout is the user's specification of the layout.
; We lay down a cons tree isomorphic to field-layout whose tips are
; either the corresponding tip of field-layout or nil according to
; whether the keyword corresponding to the field-layout tip is in fields.

  (cond ((atom field-layout)
         (cond ((some-symbol-name-tree-occur fields field-layout)

; The above call is a little strange isn't it?  Field-layout is an
; atom, a symbol really, and here we are asking whether any element of
; fields symbol-name-tree-occurs in it.  We're really just exploiting
; some-symbol-name-tree-occur to walk down fields for us taking the
; symbol-name of each element and seeing if it occurs in (i.e., in
; this case, is) the symbol name of field-layout.

                field-layout)
               (t nil)))
        (t
         (list 'cons
               (make-record-maker-cons fields
                                       (car field-layout))
               (make-record-maker-cons fields
                                       (cdr field-layout))))))

(defun make-record-maker-let (name field-layout cheap lst)
  (cond
   (cheap
    (list 'let (make-record-changer-let-bindings field-layout lst)
          (make-record-maker-cons (evens lst)
                                  field-layout)))
   (t
    (list 'let (make-record-changer-let-bindings field-layout lst)
          (list 'cons
                (kwote name)
                (make-record-maker-cons (evens lst)
                                        field-layout))))))

(defun make-record-maker (name field-layout cheap)
  (list 'defmacro
        (record-maker-function-name name)
        '(&rest args)
        (list 'make-record-maker-let
              (kwote name)
              (kwote field-layout)
              cheap
              'args)))

(defun make-record-field-lst (field-layout)
  (cond ((atom field-layout)
         (cond ((null field-layout) nil)
               (t (list field-layout))))
        (t (append (make-record-field-lst (car field-layout))
                   (make-record-field-lst (cdr field-layout))))))

(defun record-maker-recognizer-name (name)

; We use the "WEAK-" prefix in order to avoid name clashes with stronger
; recognizers that one may wish to define.

  (declare (xargs :guard (symbolp name)))
  (intern-in-package-of-symbol
   (concatenate 'string "WEAK-" (symbol-name name) "-P")
   name))

(defun make-record-recognizer-body (field-layout)
  (declare (xargs :guard t))
  (cond
   ((consp field-layout)
    (cond
     ((consp (car field-layout))
      (cond
       ((consp (cdr field-layout))
        `(and (consp x)
              (let ((x (car x)))
                ,(make-record-recognizer-body (car field-layout)))
              (let ((x (cdr x)))
                ,(make-record-recognizer-body (cdr field-layout)))))
       (t
        `(and (consp x)
              (let ((x (car x)))
                ,(make-record-recognizer-body (car field-layout)))))))
     ((consp (cdr field-layout))
      `(and (consp x)
            (let ((x (cdr x)))
              ,(make-record-recognizer-body (cdr field-layout)))))
     (t '(consp x))))
   (t t)))

(defun make-record-recognizer (name field-layout cheap recog-name)
  `(defun ,recog-name (x)
     (declare (xargs :mode :logic :guard t))
     ,(cond (cheap (make-record-recognizer-body field-layout))
            (t `(and (consp x)
                     (eq (car x) ',name)
                     (let ((x (cdr x)))
                       ,(make-record-recognizer-body field-layout)))))))

(defun record-macros (name field-layout cheap recog-name)
  (declare (xargs :guard (or recog-name (symbolp name))))
  (let ((recog-name (or recog-name
                        (record-maker-recognizer-name name))))
    (cons 'progn
          (append
           (make-record-accessors name
                                  (make-record-field-lst field-layout)
                                  (make-record-car-cdrs field-layout
                                                        (if cheap nil '(cdr)))
                                  cheap)
           (list (make-record-changer name field-layout cheap)
                 (make-record-maker name field-layout cheap)
                 (make-record-recognizer name field-layout cheap recog-name))))))

; WARNING: If you change the layout of records, you must change
; certain functions that build them in.  Generally, these functions
; are defined before defrec was defined, but need to access
; components.  See the warning associated with defrec rewrite-constant
; for a list of one group of such functions.  You might also search
; for occurrences of the word defrec prior to this definition of it.

(defmacro defrec (name field-lst cheap &optional recog-name)

; Warning: If when cheap = nil, the car of a record is no longer name, then
; consider changing the definition or use of record-type.

; A recognizer with guard t has is defined using recog-name, if supplied; else,
; by default, its name for (defrec foo ...) is the symbol WEAK-FOO-P, in the
; same package as foo.

  (record-macros name field-lst cheap recog-name))

(defmacro record-type (x)

; X is a non-cheap record, i.e., a record whose defrec has cheap = nil.

  `(car ,x))

; Warning and Observation

; Essay on Inhibited Output and the Illusion of Windows

; The "io" in io?, below, stands for "inhibit output".  Roughly speaking, it
; takes an unevaluated symbolic token denoting a "kind" of output, an output
; shape involving STATE, and a form with the indicated output signature.
; If the "kind" of output is currently inhibited, it returns all nils and the
; current state, e.g., (mv nil state nil) in the case where the output
; shape is something like (mv x state y).  If the kind of output is not
; inhibited, the form is evaluated and its value is returned.

; If form always returned an error triple, this could be said as:
; `(cond ((member-eq ',token (f-get-global 'inhibit-output-lst state))
;         (value nil))
;        (t ,form))
; This whole macro is just a simple way to do optionally inhibited output.

; The introduction of an emacs window-based interface, led us to put a little
; more functionality into this macro.  Each kind of output has a window
; associated with it.  If the kind of output is uninhibited, the io? macro
; sends to *standard-co* certain auxiliary output which causes the
; *standard-co* output by form to be shipped to the designated window.

; The association of windows is accomplished via the constant
; *window-descriptions* below which contains elements of the form (token str
; clear cursor-at-top pop-up), where token is a "kind" of output, str
; identifies the associated window, and the remaining components specify
; options for how output to the window is handled by default.  The io? macro
; provides keyword arguments for overriding these defaults.  If :clear t is
; specified, the window is cleared before the text is written into it,
; otherwise the text is appended to the end.  If :cursor-at-top t is specified,
; the cursor is left at the top of the inserted text, otherwise it is left at
; the bottom of the inserted text.  If :pop-up t is specified, the window is
; raised to the top of the desktop, otherwise the window remains where it was.

; We have purposely avoided trying to suggest that windows are objects in ACL2.
; We have no way to create them or manage them.  We merely ship a sequence of
; characters to *standard-co* and let the host do whatever it does with them.
; Extending ACL2 with some window abstraction is a desirable thing to do.  I
; would like to be able to manipulate windows as ACL2 objects.  But that is
; beyond the scope of the current work whose aim is merely to provide a more
; modern interface to ACL2 without doing too much violence to ACL2's
; applicative nature or to its claim to be Common Lisp.  Those two constraints
; make the introduction of true window objects truly interesting.

; Finally io? allows for the entire io process to be illusory.  This occurs if
; the commentp argument is t.  In this case, the io? form is logically
; equivalent to NIL.  The actual output is performed after opening a wormhole
; to state.

(defun io?-nil-output (lst default-bindings)
  (cond ((null lst) nil)
        (t (cons (cond ((eq (car lst) 'state) 'state)
                       ((cadr (assoc-eq (car lst) default-bindings)))
                       (t nil))
                 (io?-nil-output (cdr lst) default-bindings)))))

(defmacro check-exact-free-vars (ctx vars form)

; A typical use of this macro is (check-free-vars io? vars form) which just
; expands to the translation of form provided all vars occurring freely in form
; are among vars and vice-versa.  The first argument is the name of the calling
; routine, which is used in error reporting.

  (declare (xargs :guard (symbol-listp vars)))
  `(translate-and-test
    (lambda (term)
      (let ((vars ',vars)
            (all-vars (all-vars term)))
        (cond ((not (subsetp-eq all-vars vars))
               (msg "Free vars problem with ~x0:  Variable~#1~[~/s~] ~&1 ~
                     occur~#1~[s~/~] in ~x2 even though not declared."
                    ',ctx
                    (set-difference-eq all-vars vars)
                    term))
              ((not (subsetp-eq vars all-vars))
               (msg "Free vars problem with ~x0: Variable~#1~[~/s~] ~&1 ~
                     ~#1~[does~/do~] not occur in ~x2 even though declared."
                    ',ctx
                    (set-difference-eq vars all-vars)
                    term))
              (t t))))
    ,form))

(defun formal-bindings (vars)

; For example, if vars is (ab cd) then return the object
; ((list (quote ab) (list 'quote ab)) (list (quote cd) (list 'quote cd))).

  (if (endp vars)
      nil
    (cons (list 'list
                (list 'quote (car vars))
                (list 'list ''quote (car vars)))
          (formal-bindings (cdr vars)))))

(defrec io-record
  (io-marker . form)
  t)

(defun push-io-record (io-marker form state)
  (declare (xargs :stobjs state
                  :guard (f-boundp-global 'saved-output-reversed state)))
  (f-put-global 'saved-output-reversed
                (cons (make io-record
                            :io-marker io-marker
                            :form form)
                      (f-get-global 'saved-output-reversed state))
                state))

(defun saved-output-token-p (token state)
  (declare (xargs :stobjs state
                  :guard
                  (and (symbolp token)
                       (f-boundp-global 'saved-output-p state)
                       (f-boundp-global 'saved-output-token-lst state)
                       (or (eq (f-get-global 'saved-output-token-lst state)
                               :all)
                           (true-listp (f-get-global 'saved-output-token-lst
                                                     state))))))
  (and (f-get-global 'saved-output-p state)
       (or (eq (f-get-global 'saved-output-token-lst state) :all)
           (member-eq token (f-get-global 'saved-output-token-lst state)))))

(defun io?-wormhole-bindings (i vars)
  (declare (xargs :guard (and (true-listp vars)
                              (natp i))))
  (cond ((endp vars) nil)
        (t (cons (list (car vars)
                       `(nth ,i (@ wormhole-input)))
                 (io?-wormhole-bindings (1+ i) (cdr vars))))))

(defmacro io? (token commentp shape vars body
                     &key
                     (clear 'nil clear-argp)
                     (cursor-at-top 'nil cursor-at-top-argp)
                     (pop-up 'nil pop-up-argp)
                     (default-bindings 'nil)
                     (chk-translatable 't)
                     (io-marker 'nil))

; Typical use (io? error nil (mv col state) (x y) (fmt ...)), meaning execute
; the fmt statement unless 'error is on 'inhibit-output-lst.  The mv expression
; is the shape of the output produced by the fmt expression, and the list (x y)
; for vars indicates the variables other than state that occur free in that
; expression.  See the comment above, and see the Essay on Saved-output for a
; comment that gives a convenient macro for obtaining the free variables other
; than state that occur free in body.

; Default-bindings is a list of doublets (symbol value).  It is used in order
; to supply a non-nil return value for other than state when io is suppressed.
; For example, fmt returns col and state, as suggested by the third (shape)
; argument below.  Without the :default-bindings, this form would evaluate to
; (mv nil state) if event IO is inhibited.  But there are fixnum declarations
; that require the first return value of fmt to be an integer, and we can
; specify the result in the inhibited case to be (mv 0 state) with the
; following :default-bindings:

; (io? event nil (mv col state) nil (fmt ...) :default-bindings ((col 0)))

; The values in :default-bindings are evaluated, so it would be equivalent to
; replace 0 with (- 4 4), for example.

; Keep argument list in sync with io?@par.

; Chk-translatable is only used when commentp is not nil, to check at translate
; time that the body passes translation relative to the given shape.
; (Otherwise such a check is only made when the wormhole call below is actually
; evaluated.)

; Parallelism blemish: avoid calling io? with commentp = t under
; with-output-lock.  During experimentation, we have ACL2(p) hang in such a
; case, because of the interaction of locks created by wormhole1 and
; with-output-lock.  (So more generally, avoid calling with-wormhole-lock in
; the scope of with-output-lock; the other way around is fine.)

  (declare (xargs :guard (and (symbolp token)
                              (symbol-listp vars)
                              (no-duplicatesp vars)
                              (not (member-eq 'state vars))
                              (assoc-eq token *window-descriptions*))))
  (let* ((associated-window (assoc-eq token *window-descriptions*))
         (expansion
          `(let* ((io?-output-inhibitedp
                   (member-eq ',token
                              (f-get-global 'inhibit-output-lst state)))
                  (io?-alist
                   (and (not io?-output-inhibitedp)
                        (list
                         (cons #\w ,(cadr associated-window))
                         (cons #\c ,(if clear-argp
                                        clear
                                      (caddr associated-window)))
                         (cons #\t ,(if cursor-at-top-argp
                                        cursor-at-top
                                      (cadddr associated-window)))
                         (cons #\p ,(if pop-up-argp
                                        pop-up
                                      (car (cddddr associated-window))))

; Peter Dillinger requested the following binding, so that he could specify a
; window prelude string that distinguishes between, for example, "prove",
; "event", and "summary" output, which with the default string would all just
; show up as window 4.

                         (cons #\k ,(symbol-name token))))))
             (pprogn
              (if (or io?-output-inhibitedp
                      (null (f-get-global 'window-interfacep state)))
                  state
                (mv-let (io?-col state)
                        (fmt1! (f-get-global 'window-interface-prelude state)
                               io?-alist 0 *standard-co* state nil)
                        (declare (ignore io?-col))
                        state))
              ,(let ((body
                      `(check-vars-not-free
                        (io?-output-inhibitedp io?-alist)
                        (check-exact-free-vars io? (state ,@vars) ,body)))
                     (nil-output (if (eq shape 'state)
                                     'state
                                   (cons 'mv (io?-nil-output (cdr shape)
                                                             default-bindings))))
                     (postlude
                      `(mv-let
                        (io?-col state)
                        (if (or io?-output-inhibitedp
                                (null (f-get-global 'window-interfacep state)))
                            (mv 0 state)
                          (fmt1! (f-get-global 'window-interface-postlude state)
                                 io?-alist 0 *standard-co* state nil))
                        (declare (ignore io?-col))
                        (check-vars-not-free
                         (io?-output-inhibitedp io?-alist io?-col)
                         ,shape))))
                 (let ((body (if commentp
                                 `(let ,(io?-wormhole-bindings 0 vars)
                                    ,body)
                               body)))
                   (cond
                    ((eq shape 'state)
                     `(pprogn
                       (if io?-output-inhibitedp state ,body)
                       ,postlude))
                    (t `(mv-let ,(cdr shape)
                                (if io?-output-inhibitedp
                                    ,nil-output
                                  ,body)
                                ,postlude)))))))))
    (cond
     (commentp
      (let ((form
             (cond
              ((eq shape 'state)
               `(pprogn ,expansion (value :q)))
              (t
               `(mv-let ,(cdr shape)
                        ,expansion
                        (declare
                         (ignore ,@(remove1-eq 'state (cdr shape))))
                        (value :q))))))
        `(prog2$
          ,(if chk-translatable
               `(chk-translatable ,body ,shape)
             nil)
          (wormhole 'comment-window-io
                    '(lambda (whs)
                       (set-wormhole-entry-code whs :ENTER))
                    (list ,@vars)
                    ',form
                    :ld-error-action :return!
                    :ld-verbose nil
                    :ld-pre-eval-print nil
                    :ld-prompt nil))))
     (t `(pprogn
          (cond ((saved-output-token-p ',token state)
                 (push-io-record ,io-marker
                                 (list 'let
                                       (list ,@(formal-bindings vars))
                                       ',expansion)
                                 state))
                (t state))
          ,expansion)))))

#+acl2-par
(defmacro io?@par (token commentp &rest rst)

; This macro is the same as io?, except that it provides the extra property
; that the commentp flag is overridden to use comment-window printing.

; Keep the argument list in sync with io?.

; Parallelism blemish: surround the io? call below with a suitable lock.  Once
; this is done, remove any redundant locks around io?@par calls.

  (declare (ignore commentp))
  `(io? ,token t ,@rst))

(defmacro io?-prove (vars body &rest keyword-args)

; Keep in sync with io?-prove-cw.

  `(io? prove nil state ,vars
        (if (gag-mode) state ,body)
        ,@keyword-args))

(defun output-ignored-p (token state)
  (and (not (saved-output-token-p token state))
       (member-eq token
                  (f-get-global 'inhibit-output-lst state))))

(defun error1 (ctx str alist state)

; Warning: Keep this in sync with error1-safe and error1@par.

  (pprogn
   (io? error nil state (alist str ctx)
        (error-fms nil ctx str alist state))
   (mv t nil state)))

#+acl2-par
(defun error1@par (ctx str alist state)

; Keep in sync with error1.  We accept state so that calls to error1 and
; error1@par look the same.

  (declare (ignore state))
  (prog2$
   (io? error t state (alist str ctx)
        (error-fms nil ctx str alist state)
        :chk-translatable nil)
   (mv@par t nil state)))

(defun error1-safe (ctx str alist state)

; Warning: Keep this in sync with error1.

; Note: One can rely on this returning a value component of nil.

  (pprogn
   (io? error nil state (alist str ctx)
        (error-fms nil ctx str alist state))
   (mv nil nil state)))

(defconst *uninhibited-warning-summaries*
  '("Uncertified"
    "Provisionally certified"
    "Skip-proofs"
    "Defaxioms"
    "Ttags"

; Uncomment the following in order to see invariant-risk warnings during
; regression.
;   "Invariant-risk"

; The above are included because of soundness.  But the following are included
; so that we can see them even when inside include-book, since messages printed
; by missing-compiled-book may assume that such warnings are not inhibited.

    "Compiled file"
    "User-stobjs-modified"))

(defun warning-off-p1 (summary wrld ld-skip-proofsp)

; This function is used by warning$ to determine whether a given warning should
; be printed.  See also warning-disabled-p, which we can use to avoid needless
; computation on behalf of disabled warnings.

  (declare (xargs :guard (and (or (null summary)
                                  (and (stringp summary)
                                       (standard-string-p summary)))
                              (plist-worldp wrld)
                              (standard-string-alistp
                               (table-alist 'inhibit-warnings-table wrld)))))
  (or (and summary
           (assoc-string-equal
            summary
            (table-alist 'inhibit-warnings-table wrld)))

; The above is sufficient to turn off (warning$ "string" ...).  But even when
; the above condition isn't met, we turn off all warnings -- with the exception
; of those related to soundness -- while including a book.

      (and (or (eq ld-skip-proofsp 'include-book)
               (eq ld-skip-proofsp 'include-book-with-locals)
               (eq ld-skip-proofsp 'initialize-acl2))
           (not (and summary
                     (member-string-equal
                      summary
                      *uninhibited-warning-summaries*))))))

(defun warning-off-p (summary state)
  (warning-off-p1 summary (w state) (ld-skip-proofsp state)))

(defrec state-vars

; Warning: Keep this in sync with default-state-vars.

  ((safe-mode boot-strap-flg . temp-touchable-vars)
   .
   (guard-checking-on ld-skip-proofsp
                      temp-touchable-fns . parallel-execution-enabled))
  nil)

(defmacro default-state-vars
  (state-p &key
           (safe-mode 'nil safe-mode-p)
           (boot-strap-flg 'nil boot-strap-flg-p)
           (temp-touchable-vars 'nil temp-touchable-vars-p)
           (guard-checking-on 't guard-checking-on-p)
           (ld-skip-proofsp 'nil ld-skip-proofsp-p)
           (temp-touchable-fns 'nil temp-touchable-fns-p)
           (parallel-execution-enabled 'nil parallel-execution-enabled-p))

; Warning: Keep this in sync with defrec state-vars.

; State-p is t to indicate that we use the current values of the relevant state
; globals.  Otherwise we use the specified defaults, which are supplied above
; for convenience but can be changed there (i.e., in this code) if better
; default values are found.

  (cond ((eq state-p t)
         `(make state-vars
                :safe-mode
                ,(if safe-mode-p
                     safe-mode
                   '(f-get-global 'safe-mode state))
                :boot-strap-flg
                ,(if boot-strap-flg-p
                     boot-strap-flg
                   '(f-get-global 'boot-strap-flg state))
                :temp-touchable-vars
                ,(if temp-touchable-vars-p
                     temp-touchable-vars
                   '(f-get-global 'temp-touchable-vars state))
                :guard-checking-on
                ,(if guard-checking-on-p
                     guard-checking-on
                   '(f-get-global 'guard-checking-on state))
                :ld-skip-proofsp
                ,(if ld-skip-proofsp-p
                     ld-skip-proofsp
                   '(f-get-global 'ld-skip-proofsp state))
                :temp-touchable-fns
                ,(if temp-touchable-fns-p
                     temp-touchable-fns
                   '(f-get-global 'temp-touchable-fns state))
                :parallel-execution-enabled
                ,(if parallel-execution-enabled-p
                     parallel-execution-enabled
                   '(f-get-global 'parallel-execution-enabled state))))
        (t ; state-p is not t
         `(make state-vars
                :safe-mode ,safe-mode
                :temp-touchable-vars ,temp-touchable-vars
                :guard-checking-on ,guard-checking-on
                :ld-skip-proofsp ,ld-skip-proofsp
                :temp-touchable-fns ,temp-touchable-fns
                :parallel-execution-enabled ,parallel-execution-enabled))))

(defun warning1-body (ctx summary str+ alist state)

; Str+ is either a string or a pair (str . raw-alist), where raw-alist is to be
; used in place of str and the input alist if we are in raw-warning-format
; mode.

  (let ((channel (f-get-global 'proofs-co state)))
    (pprogn
     (if summary
         (push-warning summary state)
       state)
     (cond
      ((f-get-global 'raw-warning-format state)
       (cond ((consp str+)
              (fms "~y0"
                   (list (cons #\0 (list :warning summary
                                         (cons (list :ctx ctx)
                                               (cdr str+)))))
                   channel state nil))
             (t
              (fms "(:WARNING ~x0~t1~y2)~%"
                   (list (cons #\0 summary)
                         (cons #\1 10) ; (length "(:WARNING ")
                         (cons #\2
                               (list (cons :ctx ctx)
                                     (cons :fmt-string str+)
                                     (cons :fmt-alist alist))))
                   channel state nil))))
      (t (let ((str (cond ((consp str+)
                           (assert$ (and (stringp (car str+))
                                         (alistp (cdr str+)))
                                    (car str+)))
                          (t str+))))
           (mv-let
             (col state)
             (fmt "ACL2 Warning~#0~[~/ [~s1]~]"
                  (list (cons #\0 (if summary 1 0))
                        (cons #\1 summary))
                  channel state nil)
             (mv-let (col state)
               (fmt-in-ctx ctx col channel state)
               (fmt-abbrev str alist col channel state "~%~%")))))))))

(defmacro warning1-form (commentp)

; See warning1.

  `(mv-let
    (check-warning-off summary)
    (cond ((consp summary)
           (mv nil (car summary)))
          (t (mv t summary)))
    (cond
     ((and check-warning-off
           ,(if commentp
                '(warning-off-p1 summary
                                 wrld
                                 (access state-vars state-vars
                                         :ld-skip-proofsp))
              '(warning-off-p summary state)))
      ,(if commentp nil 'state))

; Note:  There are two io? expressions below.  They are just alike except
; that the first uses the token WARNING! and the other uses WARNING.  Keep
; them that way!

     ((and summary
           (member-string-equal summary *uninhibited-warning-summaries*))
      (io? WARNING! ,commentp state
           (summary ctx alist str)
           (warning1-body ctx summary str alist state)
           :chk-translatable nil))
     (t (io? WARNING ,commentp state
             (summary ctx alist str)
             (warning1-body ctx summary str alist state)
             :chk-translatable nil)))))

(defun warning1 (ctx summary str alist state)

; This function prints the "ACL2 Warning" banner and ctx, then the
; user's summary, str and alist, and then two carriage returns.

  (warning1-form nil))

(defmacro warning-disabled-p (summary)

; We can use this function to avoid needless computation on behalf of disabled
; warnings.

  (declare (xargs :guard (stringp summary)))
  (let ((tp (if (member-equal summary *uninhibited-warning-summaries*)
                'warning!
              'warning)))
    `(or (output-ignored-p ',tp state)
         (warning-off-p ,summary state))))

(defmacro observation1-body (commentp)
  `(io? observation ,commentp state
        (str alist ctx abbrev-p)
        (let ((channel (f-get-global 'proofs-co state)))
          (mv-let
           (col state)
           (fmt "ACL2 Observation" nil channel state nil)
           (mv-let (col state)
                   (fmt-in-ctx ctx col channel state)
                   (cond (abbrev-p
                          (fmt-abbrev str alist col channel state "~|"))
                         ((null abbrev-p)
                          (mv-let (col state)
                                  (fmt1 str alist col channel state nil)
                                  (declare (ignore col))
                                  (newline channel state)))
                         (t
                          (prog2$ (er hard 'observation1
                                      "The abbrev-p (fourth) argument of ~
                                       observation1 must be t or nil, so the ~
                                       value ~x0 is illegal."
                                      abbrev-p)
                                  state))))))
        :chk-translatable nil))

(defun observation1 (ctx str alist abbrev-p state)


; This function prints the "ACL2 Observation" banner and ctx, then the
; user's str and alist, and then a carriage return.

  (observation1-body nil))

(defun observation1-cw (ctx str alist abbrev-p)
  (observation1-body t))

(defmacro observation (&rest args)

; A typical use of this macro might be:
; (observation ctx "5 :REWRITE rules are being stored under name ~x0." name).

  `(cond
    ((or (eq (ld-skip-proofsp state) 'include-book)
         (eq (ld-skip-proofsp state) 'include-book-with-locals)
         (eq (ld-skip-proofsp state) 'initialize-acl2))
     state)
    (t
     (observation1
      ,(car args)
      ,(cadr args)
      ,(make-fmt-bindings '(#\0 #\1 #\2 #\3 #\4
                            #\5 #\6 #\7 #\8 #\9)
                          (cddr args))
      t
      state))))

(defmacro observation-cw (&rest args)

; See observation.  This macro uses wormholes to avoid modifying state, and
; prints even when including books.

  `(observation1-cw
    ,(car args)
    ,(cadr args)
    ,(make-fmt-bindings '(#\0 #\1 #\2 #\3 #\4
                          #\5 #\6 #\7 #\8 #\9)
                        (cddr args))
    t))

; Start stobj support in raw Lisp

(defrec defstobj-field-template
  (((fieldp-name . type) . (init . length-name))
   (accessor-name . updater-name)
   resize-name
   resizable
   . other ; e.g., for hacking in community book books/add-ons/hash-stobjs.lisp
   )
  nil)

(defrec defstobj-template
  ((congruent-to . non-memoizable)
   (recognizer . creator)
   field-templates
   inline)
  nil)

(defun packn1 (lst)
  (declare (xargs :guard (good-atom-listp lst)))
  (cond ((endp lst) nil)
        (t (append (explode-atom (car lst) 10)
                   (packn1 (cdr lst))))))

(defun packn-pos (lst witness)
  (declare (xargs :guard (and (good-atom-listp lst)
                              (symbolp witness))))
  (intern-in-package-of-symbol (coerce (packn1 lst) 'string)
                               witness))

(defun packn (lst)
  (declare (xargs :guard (good-atom-listp lst)))
  (let ((ans
; See comment in intern-in-package-of-symbol for an explanation of this trick.
         (intern (coerce (packn1 lst) 'string)
                 "ACL2")))
    ans))

(defun pack2 (n1 n2)
  (packn (list n1 n2)))

(defun defstobj-fnname (root key1 key2 renaming-alist)

; Warning: Keep this in sync with stobj-updater-guess-from-accessor.

; This function generates the actual name we will use for a function generated
; by defstobj.  Root and renaming-alist are, respectively, a symbol and an
; alist.  Key1 describes which function name we are to generate and is one of
; :length, :resize, :recognizer, :accessor, :updater, or :creator.  Key2
; describes the ``type'' of root.  It is :top if root is the name of the live
; object (and hence, root starts with a $) and it is otherwise either :array or
; :non-array.  Note that if renaming-alist is nil, then this function returns
; the ``default'' name used.  If renaming-alist pairs some default name with an
; illegal name, the result is, of course, an illegal name.

  (let* ((default-fnname
           (case key1
             (:recognizer
              (case key2
                (:top
                 (packn-pos
                  (list (coerce (append (coerce (symbol-name root) 'list)
                                        '(#\P))
                                'string))
                  root))
                (otherwise (packn-pos (list root "P") root))))

; This function can legitimately return nil for key1 values of :length
; and :resize.  We are careful in the assoc-eq call below not to look
; for nil on the renaming-alist.  That check is probably not
; necessary, but we include it for robustness.

             (:length
              (and (eq key2 :array)
                   (packn-pos (list root "-LENGTH") root)))
             (:resize
              (and (eq key2 :array)
                   (packn-pos (list "RESIZE-" root) root)))
             (:accessor
              (case key2
                (:array (packn-pos (list root "I") root))
                (otherwise root)))
             (:updater
              (case key2
                (:array (packn-pos (list "UPDATE-" root "I") root))
                (otherwise (packn-pos (list "UPDATE-" root) root))))
             (:creator
              (packn-pos (list "CREATE-" root) root))
             (otherwise
              (er hard 'defstobj-fnname
                  "Implementation error (bad case); please contact ACL2 ~
                   implementors."))))
         (temp (and default-fnname ; see comment above
                    (assoc-eq default-fnname renaming-alist))))
    (if temp (cadr temp) default-fnname)))

(defun defined-constant (name w)

; Name is a defined-constant if it has been declared with defconst.
; If name is a defined-constant then we can show that it satisfies
; legal-constantp, because when a name is declared as a constant we
; insist that it satisfy the syntactic check.  But there are
; legal-constantps that aren't defined-constants, e.g., any symbol
; that could be (but hasn't yet been) declared as a constant.  We
; check, below, that name is a symbolp just to guard the getprop.

; This function returns the quoted term that is the value of name, if
; name is a constant.  That result is always non-nil (it may be (quote
; nil) of course).

  (and (symbolp name)
       (getpropc name 'const nil w)))

(defun fix-stobj-array-type (type wrld)

; Note: Wrld may be a world or nil.  If wrld is nil and we are in raw Lisp,
; then this function should be called in a context where the symbol-value is
; available for any symbol introduced by a previous defconst event.  Our
; intended use case meets that criterion: evaluation of a defstobj form during
; loading of the compiled file for a book.

  (let* ((max (car (caddr type)))
         (n (cond ((consp wrld)
                   (let ((qc (defined-constant max wrld)))
                     (and qc (unquote qc))))
                  #-acl2-loop-only
                  ((eq wrld nil)
                   (and (symbolp max)
                        (symbol-value max)))
                  (t nil))))
    (cond (n (list (car type)
                   (cadr type)
                   (list n)))
          (t type))))

(defun defstobj-field-templates (field-descriptors renaming wrld)

; Note: Wrld may be a world or nil.  See fix-stobj-array-type.

  (cond
   ((endp field-descriptors) nil)
   (t
    (let* ((field-desc (car field-descriptors))
           (field (if (atom field-desc)
                      field-desc
                    (car field-desc)))
           (type (if (consp field-desc)
                     (or (cadr (assoc-keyword :type (cdr field-desc)))
                         t)
                   t))
           (init (if (consp field-desc)
                     (cadr (assoc-keyword :initially (cdr field-desc)))
                   nil))
           (resizable (if (consp field-desc)
                          (cadr (assoc-keyword :resizable (cdr field-desc)))
                        nil))
           (key2 (if (and (consp type)
                          (eq (car type) 'array))
                     :array
                   :non-array))
           (fieldp-name (defstobj-fnname field :recognizer key2 renaming))
           (accessor-name (defstobj-fnname field :accessor key2 renaming))
           (updater-name (defstobj-fnname field :updater key2 renaming))
           (resize-name (defstobj-fnname field :resize key2 renaming))
           (length-name (defstobj-fnname field :length key2 renaming)))
      (cons (make defstobj-field-template
                  :fieldp-name fieldp-name
                  :type (cond ((and (consp type)
                                    (eq (car type) 'array))
                               (fix-stobj-array-type type wrld))
                              (t type))
                  :init init
                  :accessor-name accessor-name
                  :updater-name updater-name
                  :length-name length-name
                  :resize-name resize-name
                  :resizable resizable)
            (defstobj-field-templates
              (cdr field-descriptors) renaming wrld))))))

(defconst *defstobj-keywords*
  '(:renaming :inline :congruent-to :non-memoizable))

; The following function is used to implement a slightly generalized
; form of macro args, namely one in which we can provide an arbitrary
; number of ordinary arguments terminated by an arbitrary number of
; keyword argument pairs.

(defun partition-rest-and-keyword-args1 (x)
  (cond ((endp x) (mv nil nil))
        ((keywordp (car x))
         (mv nil x))
        (t (mv-let (rest keypart)
                   (partition-rest-and-keyword-args1 (cdr x))
                   (mv (cons (car x) rest)
                       keypart)))))

(defun partition-rest-and-keyword-args2 (keypart keys alist)

; We return t if keypart is ill-formed as noted below.  Otherwise, we
; return ((:keyn . vn) ... (:key1 . v1)).

  (cond ((endp keypart) alist)
        ((and (keywordp (car keypart))
              (consp (cdr keypart))
              (not (assoc-eq (car keypart) alist))
              (member (car keypart) keys))
         (partition-rest-and-keyword-args2 (cddr keypart)
                                           keys
                                           (cons (cons (car keypart)
                                                       (cadr keypart))
                                                 alist)))
        (t t)))

(defun partition-rest-and-keyword-args (x keys)

; X is assumed to be a list of the form (a1 ... an :key1 v1 ... :keyk
; vk), where no ai is a keyword.  We return (mv erp rest alist), where
; erp is t iff the keyword section of x is ill-formed.  When erp is
; nil, rest is '(a1 ... an) and alist is '((:key1 . v1) ... (:keyk
; . vk)).

; The keyword section is ill-formed if it contains a non-keyword in an
; even numbered element, if it binds the same keyword more than once,
; or if it binds a keyword other than those listed in keys.

  (mv-let (rest keypart)
          (partition-rest-and-keyword-args1 x)
          (let ((alist (partition-rest-and-keyword-args2 keypart keys nil)))
            (cond
             ((eq alist t) (mv t nil nil))
             (t (mv nil rest alist))))))

(defun defstobj-template (name args wrld)

; Note: Wrld may be a world or nil.  See fix-stobj-array-type.

; We unpack the args to get the renamed field descriptors.  We return a
; defstobj-template with fields (namep create-name fields inline congruent-to),
; where: namep is the name of the recognizer for the single-threaded object;
; create-name is the name of the constructor for the stobj; fields is a list
; corresponding to the field descriptors, but normalized with respect to the
; renaming, types, etc.; inline is t if :inline t was specified in the defstobj
; event, else nil; and congruent-to is the :congruent-to field of the defstobj
; event (default: nil).  A field in fields is of the form (recog-name type init
; accessor-name updater-name length-name resize-name resizable).  The last
; three fields are nil unless type has the form (ARRAY ptype (n)), in which
; case ptype is a primitive type and n is a positive integer.  Init is the evg
; of a constant term, i.e., should be quoted to be a treated as a term.

  (mv-let
   (erp field-descriptors key-alist)
   (partition-rest-and-keyword-args args *defstobj-keywords*)
   (cond
    (erp

; If the defstobj has been admitted, this won't happen.

     (er hard 'defstobj
         "The keyword arguments to the DEFSTOBJ event must appear ~
          after all field descriptors.  The allowed keyword ~
          arguments are ~&0, and these may not be duplicated.  Thus, ~
          ~x1 is ill-formed."
         *defstobj-keywords*
         (list* 'defstobj name args)))
    (t
     (let ((renaming (cdr (assoc-eq :renaming key-alist)))
           (inline (cdr (assoc-eq :inline key-alist)))
           (congruent-to (cdr (assoc-eq :congruent-to key-alist)))
           (non-memoizable (cdr (assoc-eq :non-memoizable key-alist))))
       (make defstobj-template
             :recognizer (defstobj-fnname name :recognizer :top renaming)
             :creator (defstobj-fnname name :creator :top renaming)
             :field-templates (defstobj-field-templates
                                field-descriptors renaming wrld)
             :non-memoizable non-memoizable
             :inline inline
             :congruent-to congruent-to))))))

(defun simple-array-type (array-etype dimensions)
  (declare (ignore dimensions))
  (cond
   ((eq array-etype t)
    `(simple-vector *))
   ((eq array-etype '*)
    (er hard 'simple-array-type
        "Implementation error: We had thought that * is an invalid type-spec! ~
         ~ Please contact the ACL2 implementors."))
   (t `(simple-array ,array-etype (*)))))

#-acl2-loop-only
(defun-one-output stobj-copy-array-aref (a1 a2 i n)
  (declare (type (unsigned-byte 29) i n))

; Copy the first n elements of array a1 into array a2, starting with index i,
; and then return a2.  See also copy-array-svref and stobj-copy-array-fix-aref.
; Note that this copying does not copy substructures, so in the case that a1 is
; an array of stobjs, if 0 <= i < n then the ith element of a1 will be EQ to
; the ith element of a2 after the copy is complete.

  (cond
   ((>= i n) a2)
   (t (setf (aref a2 i)
            (aref a1 i))
      (stobj-copy-array-aref a1 a2
                             (the (unsigned-byte 29) (1+ i))
                             (the (unsigned-byte 29) n)))))

#-acl2-loop-only
(defun-one-output stobj-copy-array-svref (a1 a2 i n)
  (declare (type (unsigned-byte 29) i n)
           (type simple-vector a1 a2))

; This is a variant of copy-array-aref for simple vectors a1 and a2.

  (cond
   ((>= i n) a2)
   (t (setf (svref a2 i)
            (svref a1 i))
      (stobj-copy-array-svref a1 a2
                              (the (unsigned-byte 29) (1+ i))
                              (the (unsigned-byte 29) n)))))

#-acl2-loop-only
(defun-one-output stobj-copy-array-fix-aref (a1 a2 i n)
  #+gcl ; declaration causes errors in cmucl and sbcl and may not be necessary
        ; except in gcl (to avoid boxing)
  (declare (type (unsigned-byte 29) i n)
           (type (simple-array (signed-byte 29) (*)) a1 a2))

; This is a variant of copy-array-aref for arrays of fixnums a1 and a2.  We
; need this special version to avoid fixnum boxing in GCL during resizing.

  (cond
   ((>= i n) a2)
   (t (setf (aref a2 i)
            (aref a1 i))
      (stobj-copy-array-fix-aref a1 a2
                                 (the (unsigned-byte 29) (1+ i))
                                 (the (unsigned-byte 29) n)))))

(defmacro live-stobjp (name)

; Through Version_4.3, this macro was called the-live-stobj, and its body was
; `(eq ,name ,(the-live-var name)).  However, we need a more permissive
; definition in support of congruent stobjs (and perhaps local stobjs and stobj
; fields of nested stobjs).  Note that no ACL2 object is a simple-vector; in
; particular, a string is a vector but not a simple-vector.

  `(typep ,name 'simple-vector))

(defconst *expt2-28* (expt 2 28))

(defun array-etype-is-fixnum-type (array-etype)
  (declare (xargs :guard
                  (implies (consp array-etype)
                           (true-listp array-etype))))
  (and (consp array-etype)
       (case (car array-etype)
             (integer
              (let* ((e1 (cadr array-etype))
                     (int1 (if (integerp e1)
                               e1
                             (and (consp e1)
                                  (integerp (car e1))
                                  (1- (car e1)))))
                     (e2 (caddr array-etype))
                     (int2 (if (integerp e2)
                               e2
                             (and (consp e2)
                                  (integerp (car e2))
                                  (1- (car e2))))))
                (and int1
                     int2
                     (>= int1 (- *expt2-28*))
                     (< int2 *expt2-28*))))
             (mod
              (and (integerp (cadr array-etype))
                   (< (cadr array-etype)
                      *expt2-28*)))
             (unsigned-byte
              (and (integerp (cadr array-etype))
                   (<= (cadr array-etype)
                       29)))
             (signed-byte
              (and (integerp (cadr array-etype))
                   (<= (cadr array-etype)
                       30))))))

(defun absstobj-name (name type)

; Warning: The (absstobj-name name :CREATOR) should equal (defstobj-fnname name
; :CREATOR :TOP nil), because of the use of the latter in
; parse-with-local-stobj.

  (declare (type symbol name type))
  (mv-let (prefix suffix)
          (case type
            (:A (mv nil "$A")) ; abstract
            (:C (mv nil "$C")) ; concrete
            (:CREATOR (mv "CREATE-" nil))
            (:RECOGNIZER (mv nil "P"))
            (:RECOGNIZER-LOGIC (mv nil "$AP"))
            (:RECOGNIZER-EXEC (mv nil "$CP"))
            (:CORR-FN (mv nil "$CORR"))
            (:CORRESPONDENCE (mv nil "{CORRESPONDENCE}"))
            (:PRESERVED (mv nil "{PRESERVED}"))
            (:GUARD-THM (mv nil "{GUARD-THM}"))
            (otherwise (mv (er hard 'absstobj-name
                               "Unrecognized type, ~x0."
                               type)
                           nil)))
          (let* ((s (symbol-name name))
                 (s (if prefix (concatenate 'string prefix s) s))
                 (s (if suffix (concatenate 'string s suffix) s)))
            (intern-in-package-of-symbol s name))))

(defun get-stobj-creator (stobj wrld)

; This function assumes that wrld is an ACL2 logical world, although wrld may
; be nil when we call this in raw Lisp.

; If stobj is a stobj name, return the name of its creator; else nil.  We use
; the fact that the value of the 'stobj property is (*the-live-var* recognizer
; creator ...) for all user defined stobj names, is '(*the-live-state*) for
; STATE, and is nil for all other names.

  (cond ((eq stobj 'state) 'state-p)
        ((not (symbolp stobj)) nil)
        (wrld (caddr (getpropc stobj 'stobj nil wrld)))
        (t
         #-acl2-loop-only
         (let ((d (get (the-live-var stobj)
                       'redundant-raw-lisp-discriminator)))
           (cond ((eq (car d) 'defabsstobj)

; Then d is (defabsstobj name . keyword-alist).

                  (let ((tail (assoc-keyword :CREATOR d)))
                    (cond (tail (let* ((field-descriptor (cadr tail))
                                       (c (if (consp field-descriptor)
                                              (car field-descriptor)
                                            field-descriptor)))
                                  (assert$ (symbolp c)
                                           c)))
                          (t (let ((name (cadr d)))
                               (absstobj-name name :CREATOR))))))
                 (t (caddr d))))
         #+acl2-loop-only
         (er hard 'stobj-creator
             "Implementation error: The call ~x0 is illegal, because ~
              get-stobj-creator must not be called inside the ACL2 loop (as ~
              is the case here) with wrld = nil."
             `(get-stobj-creator ,stobj nil)))))

(defmacro the$ (type val)
  (cond ((eq type t)
         val)
        (t `(the ,type ,val))))

(defun defstobj-field-fns-raw-defs (var flush-var inline n field-templates)

; Warning: Keep the formals in the definitions below in sync with corresponding
; formals defstobj-field-fns-raw-defs.  Otherwise trace$ may not work
; correctly; we saw such a problem in Version_5.0 for a resize function.

; Warning:  See the guard remarks in the Essay on Defstobj Definitions.

  #-hons (declare (ignorable flush-var)) ; irrelevant var without hons
  (cond
   ((endp field-templates) nil)
   (t
    (append
     (let* ((field-template (car field-templates))
            (type (access defstobj-field-template field-template :type))
            (init (access defstobj-field-template field-template :init))
            (arrayp (and (consp type) (eq (car type) 'array)))
            (array-etype0 (and arrayp (cadr type)))
            (stobj-creator (get-stobj-creator (if arrayp array-etype0 type)
                                              nil))
            (scalar-type
             (if stobj-creator t type)) ; only used when (not arrayp)
            (array-etype (and arrayp
                              (if stobj-creator

; Stobj-creator is non-nil when array-etype is a stobj.  The real element type,
; then, is simple-array rather than a simple-array-type, so we might say that
; the parent stobj array is not simple.  But we will assume that the advantage
; of having a simple-vector for the parent stobj outweighs the advantage of
; having a simple-vector element type declaration.

                                  t
                                array-etype0)))
            (simple-type (and arrayp
                              (simple-array-type array-etype (caddr type))))
            (array-length (and arrayp (car (caddr type))))
            (vref (and arrayp
                       (if (eq (car simple-type) 'simple-vector)
                           'svref
                         'aref)))
            (fix-vref (and arrayp
                           (if (array-etype-is-fixnum-type array-etype)
                               'fix-aref
                             vref)))
            (accessor-name (access defstobj-field-template
                                   field-template
                                   :accessor-name))
            (updater-name (access defstobj-field-template
                                  field-template
                                  :updater-name))
            (length-name (access defstobj-field-template
                                 field-template
                                 :length-name))
            (resize-name (access defstobj-field-template
                                 field-template
                                 :resize-name))
            (resizable (access defstobj-field-template
                               field-template
                               :resizable)))
       (cond
        (arrayp
         `((,length-name
            (,var)
            ,@(and inline (list *stobj-inline-declare*))
            ,@(if (not resizable)
                  `((declare (ignore ,var))
                    ,array-length)
                `((the (and fixnum (integer 0 *))
                       (length (svref ,var ,n))))))
           (,resize-name
            (i ,var)
            ,@(if (not resizable)
                  `((declare (ignore i))
                    (prog2$
                     (er hard ',resize-name
                         "The array field corresponding to accessor ~x0 of ~
                          stobj ~x1 was not declared :resizable t.  ~
                          Therefore, it is illegal to resize this array."
                         ',accessor-name
                         ',var)
                     ,var))
                `((if (not (and (integerp i)
                                (>= i 0)
                                (< i array-dimension-limit)))
                      (hard-error
                       ',resize-name
                       "Attempted array resize failed because the requested ~
                        size ~x0 was not a nonnegative integer less than the ~
                        value of Common Lisp constant array-dimension-limit, ~
                        which is ~x1.  These bounds on array sizes are fixed ~
                        by ACL2."
                       (list (cons #\0 i)
                             (cons #\1 array-dimension-limit)))
                    (let* ((var ,var)
                           (old (svref var ,n))
                           (min-index (min i (length old)))
                           (new (make-array$ i

; The :initial-element below is probably not necessary in the case
; that we are downsizing the array.  At least, CLtL2 does not make any
; requirements about specifying an :initial-element, even when an
; :element-type is supplied.  However, it seems harmless enough to go
; ahead and specify :initial-element even for downsizing: resizing is
; not expected to be fast, we save a case split here (at the expense
; of this comment!), and besides, we are protecting against the
; possibility that some Common Lisp will fail to respect the spec and
; will cause an error by trying to initialize a fixnum array (say)
; with NILs.

                                             :initial-element
                                             ',init
                                             :element-type
                                             ',array-etype)))
                      #+hons (memoize-flush ,flush-var)
                      (setf (svref var ,n)
                            (,(pack2 'stobj-copy-array- fix-vref)
                             old new 0 min-index))
                      ,@(and stobj-creator
                             `((when (< (length old) i)
                                 (loop for j from (length old) to (1- i)
                                       do (setf (svref new j)
                                                (,stobj-creator))))))
                      var)))))
           (,accessor-name
            (i ,var)
            (declare (type (and fixnum (integer 0 *)) i))
            ,@(and inline (list *stobj-inline-declare*))
            (the$ ,array-etype
                  (,vref (the ,simple-type (svref ,var ,n))
                         (the (and fixnum (integer 0 *)) i))))
           (,updater-name
            (i v ,var)
            (declare (type (and fixnum (integer 0 *)) i)
                     ,@(and (not (eq array-etype t))
                            `((type ,array-etype v))))
            ,@(and inline (list *stobj-inline-declare*))
            (progn
              #+hons (memoize-flush ,flush-var)

; See the long comment below for the updater in the scalar case, about
; supporting *1* functions.

              (setf (,vref ,(if (eq simple-type t)
                                `(svref ,var ,n)
                              `(the ,simple-type (svref ,var ,n)))
                           (the (and fixnum (integer 0 *)) i))
                    (the$ ,array-etype v))
              ,var))))
        ((eq scalar-type t)
         `((,accessor-name (,var)
                           ,@(and inline (list *stobj-inline-declare*))
                           (svref ,var ,n))
           (,updater-name (v ,var)
                          ,@(and inline (list *stobj-inline-declare*))
                          (progn
                            #+hons (memoize-flush ,flush-var)

; For the case of a stobj field, we considered causing an error here since the
; raw Lisp code for stobj-let avoids calling updaters because there is no need:
; updates for fields that are stobjs have already updated destructively.
; However, a raw Lisp updater can be called by a *1* function, say *1*f,
; applied to live stobjs, when guard checking does not pass control to the raw
; Lisp function, f.  Perhaps we could optimize to avoid this, but there is no
; need; this setf is fast and is only called on behalf of executing *1*
; function calls.  See the comment referencing "defstobj-field-fns-raw-defs" in
; community book misc/nested-stobj-tests.lisp.  To see this point in action,
; evaluate the forms under that comment after modifying this definition by
; uncommenting the following line of code.

;                           ,@(when stobj-creator '((break$))) ; see just above

                            (setf (svref ,var ,n) v)
                            ,var))))
        (t
         (assert$
          (not stobj-creator) ; scalar-type is t for stobj-creator
          `((,accessor-name (,var)
                            ,@(and inline (list *stobj-inline-declare*))
                            (the$ ,scalar-type
                                  (aref (the (simple-array ,scalar-type (1))
                                             (svref ,var ,n))
                                        0)))
            (,updater-name (v ,var)
                           ,@(and (not (eq scalar-type t))
                                  `((declare (type ,scalar-type v))))
                           ,@(and inline (list *stobj-inline-declare*))
                           (progn
                             #+hons (memoize-flush ,flush-var)
                             (setf (aref (the (simple-array ,scalar-type (1))
                                              (svref ,var ,n))
                                         0)
                                   (the$ ,scalar-type v))
                             ,var)))))))
     (defstobj-field-fns-raw-defs
       var flush-var inline (1+ n) (cdr field-templates))))))

(defun defstobj-raw-init-fields (field-templates)

; Keep this in sync with defstobj-axiomatic-init-fields.

  (cond
   ((endp field-templates) nil)
   (t (let* ((field-template (car field-templates))
             (type (access defstobj-field-template field-template :type))
             (arrayp (and (consp type) (eq (car type) 'array)))
             (array-etype0 (and arrayp (cadr type)))
             (array-size (and arrayp (car (caddr type))))
             (stobj-creator (get-stobj-creator (if arrayp array-etype0 type)
                                               nil))
             (array-etype (and arrayp

; See comment for this binding in defstobj-field-fns-raw-defs.

                               (if stobj-creator
                                   t
                                 array-etype0)))
             (init (access defstobj-field-template field-template :init)))
        (cond
         (arrayp
          (cons (cond (stobj-creator
                       (assert$
                        (null init) ; checked by chk-stobj-field-descriptor
                        (assert$

; We expect array-size to be a natural number, as this is checked by
; chk-stobj-field-descriptor (using fix-stobj-array-type).  It is important
; that array-size not be a Lisp form that references the variable AR, even
; after macroexpasion, in order to avoid capture by the binding of AR below.

                         (natp array-size)
                         `(let ((ar (make-array$ ,array-size

; Do not be tempted to use :initial-element (,stobj-creator) here, because that
; would presumably share structure among all the created stobjs.

                                                 :element-type ',array-etype)))
                            (loop for i from 0 to ,(1- array-size)
                                  do
                                  (setf (svref ar i) (,stobj-creator)))
                            ar))))
                      (t `(make-array$ ,array-size
                                       :element-type ',array-etype
                                       :initial-element ',init)))
                (defstobj-raw-init-fields (cdr field-templates))))
         ((eq type t)
          (cons (kwote init)
                (defstobj-raw-init-fields (cdr field-templates))))
         (stobj-creator
          (cons `(,stobj-creator)
                (defstobj-raw-init-fields (cdr field-templates))))
         (t (cons `(make-array$ 1
                                :element-type ',type
                                :initial-element ',init)
                  (defstobj-raw-init-fields (cdr field-templates)))))))))

(defun defstobj-raw-init-setf-forms (var index raw-init-fields acc)
  (cond ((endp raw-init-fields) acc) ; no need to reverse
        (t (defstobj-raw-init-setf-forms
             var
             (1+ index)
             (cdr raw-init-fields)
             (cons `(setf (svref ,var ,index)
                          ,(car raw-init-fields))
                   acc)))))

(defun defstobj-raw-init (template)

; This function generates the initialization code for the live object
; representing the stobj name.

  (let* ((field-templates (access defstobj-template template :field-templates))
         (raw-init-fields (defstobj-raw-init-fields field-templates))
         (len (length field-templates)))
    `(cond
      ((< ,len call-arguments-limit)

; This check is necessary because GCL complains when VECTOR is called on more
; than 64 arguments.  Actually, the other code -- where LIST is called instead
; of VECTOR -- is in principle just as problematic when field-templates is at
; least as long as call-arguments-limit.  However, GCL has (through 2015 at
; least) been forgiving when LIST is called with too many arguments (as per
; call-arguments-limit).

       (vector ,@raw-init-fields))
      (t
       (let ((v (make-array$ ,len)))
         ,@(defstobj-raw-init-setf-forms 'v 0 raw-init-fields nil)
         v)))))

(defun defstobj-component-recognizer-calls (field-templates n var ans)

; Warning:  See the guard remarks in the Essay on Defstobj Definitions.

; Given a list of defstobj-field-template records with n+1 field names -- for
; example regp, pcp, ... -- such that var is some symbol, v, we return a
; corresponding list -- for example ((regp (nth 0 v)) (pcp (nth 1 v)) ...).
; Except, for each field corresponding to a non-resizable array then we also
; include a corresponding length statement in the list.

  (cond ((endp field-templates)
         (reverse ans))
        (t (defstobj-component-recognizer-calls
             (cdr field-templates)
             (+ n 1)
             var
             (let* ((type (access defstobj-field-template
                                  (car field-templates)
                                  :type))
                    (nonresizable-ar (and (consp type)
                                          (eq (car type) 'array)
                                          (not (access defstobj-field-template
                                                       (car field-templates)
                                                       :resizable))))
                    (pred-stmt `(,(access defstobj-field-template
                                          (car field-templates)
                                          :fieldp-name)
                                 (nth ,n ,var))))
               (if nonresizable-ar
                   (list* `(equal (len (nth ,n ,var)) ,(car (caddr type)))
                          pred-stmt
                          ans)
                 (cons pred-stmt ans)))))))

(defun stobjp (x known-stobjs w)

; We recognize whether x is to be treated as a stobj name.  Known-stobjs is a
; list of all such names, or else T, standing for all stobj names in w.  During
; translation, only certain known stobjs in w are considered stobjs, as per the
; user's :stobjs declare xargs.  If you want to know whether x has been defined
; as a stobj in w, use known-stobjs = t.

; Slight abuse permitted: Sometimes known-stobjs will be a list of stobj flags!
; E.g., we might supply (NIL NIL STATE NIL $S) where (STATE $S) is technically
; required.  But we should never ask if NIL is a stobj because we only ask this
; of variable symbols.  But just to make this an ironclad guarantee, we include
; the first conjunct below.

  (declare (xargs :guard (and (plist-worldp w)
                              (or (eq known-stobjs t)
                                  (true-listp known-stobjs)))))
  (and x
       (symbolp x)
       (if (eq known-stobjs t)
           (getpropc x 'stobj nil w)
         (member-eq x known-stobjs))))

(defun translate-stobj-type-to-guard (x var wrld)

; This function is a variant of translate-declaration-to-guard.  Like that
; function, x is an alleged type about the variable symbol var -- think
; (DECLARE (TYPE x ...)) -- and results in an UNTRANSLATED term about var if x
; is seen to be a valid type-spec for ACL2.  Unlike that function, here we
; allow x to be a stobj name, which may be used as a type in a field of another
; stobj (introduced after x).  We return nil if x is not either sort of valid
; type spec.

; Our intended use of this function is in generation of guards for recognizers
; of stobj fields that may themselves be stobjs.  We do not use this however in
; accessors or updaters, where translate-declaration-to-guard suffices: we do
; not want to generate a stobj recognizer since the child stobj is supplied
; explicitly using :stobjs.

  (or (translate-declaration-to-guard x var wrld)
      (let ((stobj-recog (and (not (eq x 'state))
                              (cadr

; Use stobjp below, not getprop, since we do not know that x is a symbol.

                               (stobjp x t wrld)))))
        (and stobj-recog
             (list stobj-recog var)))))

(defun defstobj-component-recognizer-axiomatic-defs (name template
                                                          field-templates wrld)

; Warning:  See the guard remarks in the Essay on Defstobj Definitions.

; It is permissible for wrld to be nil, as this merely defeats additional
; checking by translate-declaration-to-guard.

; We return a list of defs (see defstobj-axiomatic-defs) for all the
; recognizers for the single-threaded resource named name with the given
; template.  The answer contains the top-level recognizer as well as the
; definitions of all component recognizers.  The answer contains defs for
; auxiliary functions used in array component recognizers.  The defs are listed
; in an order suitable for processing (components first, then top-level).

  (cond
   ((endp field-templates)
    (let* ((recog-name (access defstobj-template template :recognizer))
           (field-templates (access defstobj-template template
                                    :field-templates))
           (n (length field-templates)))

; Rockwell Addition: See comment below.

; Note: The recognizer for a stobj must be Boolean!  That is why we
; conclude the AND below with a final T.  The individual field
; recognizers need not be Boolean and sometimes are not!  For example,
; a field with :TYPE (MEMBER e1 ... ek) won't be Boolean, nor with
; certain :TYPE (OR ...) involving MEMBER.  The reason we want the
; stobj recognizer to be Boolean is so that we can replace it by T in
; guard conjectures for functions that have been translated with the
; stobj syntactic restrictions.  See optimize-stobj-recognizers.

      (list `(,recog-name (,name)
                          (declare (xargs :guard t
                                          :verify-guards t))
                          (and (true-listp ,name)
                               (= (length ,name) ,n)
                               ,@(defstobj-component-recognizer-calls
                                   field-templates 0 name nil)
                               t)))))
   (t
    (let ((recog-name (access defstobj-field-template
                              (car field-templates)
                              :fieldp-name))
          (type (access defstobj-field-template
                        (car field-templates)
                        :type)))

; Below we simply append the def or defs for this field to those for
; the rest.  We get two defs for each array field and one def for each
; of the others.

      (cons (cond
             ((and (consp type)
                   (eq (car type) 'array))
              (let ((etype (cadr type)))
                `(,recog-name (x)
                              (declare (xargs :guard t
                                              :verify-guards t))
                              (if (atom x)
                                  (equal x nil)
                                (and ,(translate-stobj-type-to-guard
                                       etype '(car x) wrld)
                                     (,recog-name (cdr x)))))))
             (t (let ((type-term (translate-stobj-type-to-guard
                                  type 'x wrld)))

; We might not use x in the type-term and so have to declare it ignorable.

                  `(,recog-name (x)
                                (declare (xargs :guard t
                                                :verify-guards t)
                                         (ignorable x))
                                ,type-term))))
            (defstobj-component-recognizer-axiomatic-defs
              name template (cdr field-templates) wrld))))))

(defun congruent-stobj-rep (name wrld)
  (assert$
   wrld ; use congruent-stobj-rep-raw if wrld is not available
   (or (getpropc name 'congruent-stobj-rep nil wrld)
       name)))

(defun all-but-last (l)
  (declare (xargs :guard (true-listp l) ; and let's verify termination/guards:
                  :mode :logic))
  (cond ((endp l) nil)
        ((endp (cdr l)) nil)
        (t (cons (car l) (all-but-last (cdr l))))))

(defun defstobj-raw-defs (name template congruent-stobj-rep wrld)

; Warning:  See the guard remarks in the Essay on Defstobj Definitions.

; This function generates a list of defs.  Each def is such that
; (defun . def) is a well-formed raw Lisp definition.  The defuns can
; be executed in raw lisp to define the versions of the recognizers,
; accessors, and updaters (and for array fields, length and resize
; functions) that are run when we know the guards are satisfied.  Many
; of these functions anticipate application to the live object itself.

; It is permissible for wrld to be nil, as this merely defeats additional
; checking by translate-declaration-to-guard.  If wrld is nil, then
; congruent-stobj-rep should be the result of calling congruent-stobj-rep on
; name and the world where the corresponding defstobj is executed.  If wrld is
; non-nil, then it should be an ACL2 world and congruent-stobj-rep is
; irrelevant.

; WARNING: If you change the formals of these generated raw defs be
; sure to change the formals of the corresponding axiomatic defs.

  #-hons (declare (ignore congruent-stobj-rep))
  (let* ((recog (access defstobj-template template :recognizer))
         (creator (access defstobj-template template :creator))
         (field-templates (access defstobj-template template :field-templates))
         (inline (access defstobj-template template :inline)))
    (append
     (all-but-last
      (defstobj-component-recognizer-axiomatic-defs name template
        field-templates wrld))
     `((,recog (,name)
               (cond
                ((live-stobjp ,name)
                 t)
                (t (and (true-listp ,name)
                        (= (length ,name) ,(length field-templates))
                        ,@(defstobj-component-recognizer-calls
                            field-templates 0 name nil)))))
       (,creator ()
                 ,(defstobj-raw-init template))
       ,@(defstobj-field-fns-raw-defs
           name
           #-hons nil
           #+hons (cond
                   ((access defstobj-template template :non-memoizable)
                    nil)
                   (wrld (let ((congruent-to (access defstobj-template template
                                                     :congruent-to)))
                           (if congruent-to
                               (congruent-stobj-rep congruent-to wrld)
                             name)))
                   (t congruent-stobj-rep))
           inline 0 field-templates)))))

(defun defconst-name (name)
  (intern-in-package-of-symbol
   (concatenate 'string "*" (symbol-name name) "*")
   name))

(defun defstobj-defconsts (names index)
  (if (endp names)
      nil
    (cons `(defconst ,(defconst-name (car names)) ,index)
          (defstobj-defconsts (cdr names) (1+ index)))))

(defun strip-accessor-names (field-templates)
  (if (endp field-templates)
      nil
    (cons (access defstobj-field-template (car field-templates)
                  :accessor-name)
          (strip-accessor-names (cdr field-templates)))))

(defun the-live-var (name)

; If the user declares a single-threaded object named $S then we will
; use *the-live-$s* as the Lisp parameter holding the live object
; itself.  One might wonder why we don't choose to name this object
; $s?  Perhaps we could, since starting with Version  2.6 we no longer
; get the symbol-value of *the-live-$s* except at the top level,
; because of local stobjs.  Below we explain our earlier thinking.

; Historical Plaque for Why the Live Var for $S Is Not $S

; [Otherwise] Consider how hard it would then be to define the raw defs
; (below).  $S is the formal parameter, and naturally so since we want
; translate to enforce the rules on single-threadedness.  The raw code
; has to check whether the actual is the live object.  We could hardly
; write (eq $S $S).

  (packn-pos (list "*THE-LIVE-" name "*") name))

(defun standard-co (state)
  (f-get-global 'standard-co state))

#-acl2-loop-only
(defmacro defstobj (name &rest args)

; Warning: If you change this definition, consider the possibility of making
; corresponding changes to the #-acl2-loop-only definition of defabsstobj.

; This function is run when we evaluate (defstobj name . args) in raw lisp.
; A typical such form is

; (defstobj $st
;   (flag :type t :initially run)
;   (pc   :type (integer 0 255) :initially 128)
;   (mem  :type (array (integer 0 255) (256)) :initially 0))

; Warning: If this event ever generates proof obligations, remove it from the
; list of exceptions in install-event just below its "Comment on irrelevance of
; skip-proofs".

; This function must contend with a problem analogous to the one addressed by
; acl2::defconst in acl2.lisp: the need to avoid re-declaration of the same
; stobj.  We use redundant-raw-lisp-discriminator in much the same way as in
; the raw lisp defmacro of acl2::defconst.

  (let* ((template (defstobj-template name args nil))
         (congruent-to (access defstobj-template template :congruent-to))
         (congruent-stobj-rep (if congruent-to
                                  (congruent-stobj-rep-raw congruent-to)
                                name))
         (non-memoizable (access defstobj-template template :non-memoizable))
         (init (defstobj-raw-init template))
         (the-live-name (the-live-var name)))
    `(progn

; We place the defvar above the subsequent let*, in order to avoid
; warnings in Lisps such as CCL that compile on-the-fly.

       (defvar ,the-live-name)
       #+hons ,@(and (null congruent-to)

; It has occurred to us that this defg form might be avoidable when
; non-memoizable is true, since the purpose of st-lst is probably only to
; support memoize-flush.  However, it seems harmless enough to lay down this
; form even when non-memoizable is true, so we go ahead and do so rather than
; think carefully about avoiding it.

                     `((defg ,(st-lst name) nil)))

; Now we lay down the defuns of the recognizers, accessors and updaters as
; generated by defstobj-raw-defs.  The boilerplate below just adds the DEFUN to
; the front of each def generated, preserving the order of the defs as
; generated.  We deal here with the :inline case; note that
; *stobj-inline-declare* was added in defstobj-field-fns-raw-defs.

       ,@(mapcar (function (lambda (def)
                             (if (member-equal *stobj-inline-declare* def)
                                 (cons 'DEFABBREV
                                       (remove-stobj-inline-declare def))
                               (cons 'DEFUN def))))
                 (defstobj-raw-defs name template congruent-stobj-rep nil))
       ,@(defstobj-defconsts
           (strip-accessor-names (access defstobj-template template
                                         :field-templates))
           0)
       (let* ((template ',template)
              (congruent-stobj-rep ',congruent-stobj-rep)
              (non-memoizable ',non-memoizable)
              (boundp (boundp ',the-live-name))
              (d (and boundp
                      (get ',the-live-name
                           'redundant-raw-lisp-discriminator)))

; d is expected to be of the form (DEFSTOBJ namep creator field-templates
; . congruent-stobj-rep).

              (ok-p (and boundp
                         (consp d)
                         (eq (car d) 'defstobj)
                         (consp (cdr d))
                         (eq (cadr d) (access defstobj-template template
                                              :recognizer))
                         (consp (cddr d))
                         (eq (caddr d) (access defstobj-template template
                                               :creator))
                         (equal (cadddr d) (access defstobj-template template
                                                   :field-templates))
                         (eq (car (cddddr d)) congruent-stobj-rep)
                         (eq (cdr (cddddr d)) non-memoizable)

; We also formerly required:

;                        (stobj-initial-statep (symbol-value ',the-live-name)
;                                              (access defstobj-template template
;                                                      :field-templates))

; However, the stobj need not have its initial value; consider a redundant
; defstobj in a book whose certification world has already modified the stobj,
; or a defstobj in a book whose value is modified in a make-event later in that
; book.  Either way, ok-p would be false when this code is executed by loading
; the compiled file.

; We do not check the :inline :congruent-to fields, because these incur no
; proof obligations.  If a second pass of encapsulate, or inclusion of a book,
; exposes a later non-local defstobj that is redundant with an earlier local
; one, then any problems will be caught during local compatibility checks.

                         )))
         (cond
          (ok-p ',name)
          ((and boundp (not (raw-mode-p *the-live-state*)))
           (interface-er
            "Illegal attempt to redeclare the single-threaded object ~s0."
            ',name))
          (t

; Memoize-flush expects the variable (st-lst name) to be bound.

           (setf ,the-live-name ,init)
           (setf (get ',the-live-name 'redundant-raw-lisp-discriminator)
                 (list* 'defstobj
                        (access defstobj-template template
                                :recognizer)
                        (access defstobj-template template
                                :creator)
                        (access defstobj-template template
                                :field-templates)
                        congruent-stobj-rep
                        (access defstobj-template template
                                :non-memoizable)))
           (let ((old (and boundp

; Since boundp, then by a test made above, we also know (raw-mode-p state).
; This boundp test could be omitted, since otherwise we know that the assoc-eq
; call below will return nil; the boundp check is just an optimization.

                           (assoc-eq ',name *user-stobj-alist*))))
             (cond
              (old ; hence raw-mode
               (fms "Note:  Redefining and reinitializing stobj ~x0 in raw ~
                     mode.~%"
                    (list (cons #\0 ',name))
                    (standard-co *the-live-state*) *the-live-state* nil)
               (setf (cdr old)
                     (symbol-value ',the-live-name)))
              (t
               (assert$
                (not (assoc-eq ',name *user-stobj-alist*))
                (setq *user-stobj-alist*
                      (cons (cons ',name (symbol-value ',the-live-name))
                            *user-stobj-alist*))))))
           ',name))))))

; End of stobj support in raw lisp

; We need to have state globals bound for prin1$ etc. to work, because of calls
; of with-print-controls.  We may also need the dolist form below for tracing,
; which uses current-package for printing and current-acl2-world for
; current-acl2-world suppression.  State globals such as 'compiler-enabled,
; whose value depends on the host Common Lisp implementation, are initialized
; here rather than in *initial-global-table*, so that the value of any defconst
; (such as *initial-global-table*) is independent of the host Common Lisp
; implementation.  That is important to avoid trivial soundness bugs based on
; variance of a defconst value from one underlying Lisp to another.

#-acl2-loop-only
(initialize-state-globals)

; Case-match (needed for parse-with-local-stobj, below)

(defun equal-x-constant (x const)

; x is an arbitrary term, const is a quoted constant, e.g., a list of
; the form (QUOTE guts).  We return a term equivalent to (equal x
; const).

  (declare (xargs :guard (and (consp const)
                              (eq (car const) 'quote)
                              (consp (cdr const)))))
  (let ((guts (cadr const)))
    (cond ((symbolp guts)
           (list 'eq x const))
          ((or (acl2-numberp guts)
               (characterp guts))
           (list 'eql x guts))
          ((stringp guts)
           (list 'equal x guts))
          (t (list 'equal x const)))))

(defun match-tests-and-bindings (x pat tests bindings)

; We return two results.  The first is a list of tests, in reverse
; order, that determine whether x matches the structure pat.  We
; describe the language of pat below.  The tests are accumulated onto
; tests, which should be nil initially.  The second result is an alist
; containing entries of the form (sym expr), suitable for use as the
; bindings in the let we generate if the tests are satisfied.  The
; bindings required by pat are accumulated onto bindings and thus are
; reverse order, although their order is actually irrelevant.

; For example, the pattern
;   ('equal ('car ('cons u v)) u)
; matches only first order instances of (EQUAL (CAR (CONS u v)) u).

; The pattern
;   ('equal (ev (simp x) a) (ev x a))
; matches only second order instances of (EQUAL (ev (simp x) a) (ev x a)),
; i.e., ev, simp, x, and a are all bound in the match.

; In general, the match requires that the cons structure of x be isomorphic
; to that of pat, down to the atoms in pat.  Symbols in the pat denote
; variables that match anything and get bound to the structure matched.
; Occurrences of a symbol after the first match only structures equal to
; the binding.  Non-symbolp atoms match themselves.

; There are some exceptions to the general scheme described above.  A
; cons structure starting with QUOTE matches only itself.  The symbols
; nil and t, and all symbols whose symbol-name starts with #\* match
; only structures equal to their values.  (These symbols cannot be
; legally bound in ACL2 anyway, so this exceptional treatment does not
; restrict us further.)  Any symbol starting with #\! matches only the
; value of the symbol whose name is obtained by dropping the #\!.
; This is a way of referring to already bound variables in the
; pattern.  Finally, the symbol & matches anything and causes no
; binding.

  (declare (xargs :guard (symbol-doublet-listp bindings)))
  (cond
   ((symbolp pat)
    (cond
     ((or (eq pat t)
          (eq pat nil)
          (keywordp pat))
      (mv (cons (list 'eq x pat) tests) bindings))
     ((and (> (length (symbol-name pat)) 0)
           (eql #\* (char (symbol-name pat) 0)))
      (mv (cons (list 'equal x pat) tests) bindings))
     ((and (> (length (symbol-name pat)) 0)
           (eql #\! (char (symbol-name pat) 0)))
      (mv (cons (list 'equal x
                      (intern (coerce (cdr (coerce (symbol-name pat)
                                                   'list))
                                      'string)
                              "ACL2"))
                tests)
          bindings))
     ((eq pat '&) (mv tests bindings))
     (t (let ((binding (assoc-eq pat bindings)))
          (cond ((null binding)
                 (mv tests (cons (list pat x) bindings)))
                (t (mv (cons (list 'equal x (cadr binding)) tests)
                       bindings)))))))
   ((atom pat)
    (mv (cons (equal-x-constant x (list 'quote pat)) tests)
        bindings))
   ((and (eq (car pat) 'quote)
         (consp (cdr pat))
         (null (cddr pat)))
    (mv (cons (equal-x-constant x pat) tests)
        bindings))
   (t (mv-let (tests1 bindings1)
        (match-tests-and-bindings (list 'car x) (car pat)
                                  (cons (list 'consp x) tests)
                                  bindings)
        (match-tests-and-bindings (list 'cdr x) (cdr pat)
                                  tests1 bindings1)))))
(defun match-clause (x pat forms)
  (declare (xargs :guard t))
  (mv-let (tests bindings)
    (match-tests-and-bindings x pat nil nil)
    (list (if (null tests)
              t
            (cons 'and (reverse tests)))
          (cons 'let (cons (reverse bindings) forms)))))

(defun match-clause-list (x clauses)
  (declare (xargs :guard (alistp clauses)))
  (cond ((consp clauses)
         (if (eq (caar clauses) '&)
             (list (match-clause x (caar clauses) (cdar clauses)))
           (cons (match-clause x (caar clauses) (cdar clauses))
                 (match-clause-list x (cdr clauses)))))
        (t '((t nil)))))

(defmacro case-match (&rest args)
  (declare (xargs :guard (and (consp args)
                              (symbolp (car args))
                              (alistp (cdr args))
                              (null (cdr (member-equal (assoc-eq '& (cdr args))
                                                       (cdr args)))))))
  (cons 'cond (match-clause-list (car args) (cdr args))))

; Local stobj support

(defun parse-with-local-stobj (x)

; x is a with-local-stobj form.  We return (mv erp stobj-name mv-let-form
; creator-name).

  (case-match x
    ((st
      ('mv-let . mv-let-body))
     (cond ((symbolp st)
            (mv nil st (cons 'mv-let mv-let-body)
                (defstobj-fnname st :creator :top nil)))
           (t (mv t nil nil nil))))
    ((st
      ('mv-let . mv-let-body)
      creator)
     (mv nil st (cons 'mv-let mv-let-body) creator))
    (& (mv t nil nil nil))))

#-acl2-loop-only
(defun-one-output mv-let-for-with-local-stobj (mv-let-form st creator flet-fns
                                                           w program-p)

; If w is not nil, then it is the current ACL2 world and we are to oneify the
; appropriate subforms with the indicated program-p argument.  If w is nil,
; then program-p is irrelevant.

; It was tempting to have an acl2-loop-only version of the body below as well,
; which would omit the binding of the live var.  But if someone were to
; verify-termination of this function, we could presumably prove nil using the
; discrepancy between the two versions.  So we take the attitude that
; with-local-stobj is a special form, like let, that is not defined.

; In the case that st is STATE, this form does not take responsibility for
; restoring state, for example by restoring values of state global variables
; and by closing channels that may have been created during evaluation of the
; producer form.  A with-local-state form thus needs to take responsibility for
; restoring state; see for example the definition of channel-to-string.

  (let ((producer (caddr mv-let-form))
        (rest (cdddr mv-let-form)))
    `(mv-let ,(cadr mv-let-form)
             (let* (,@(and (not (eq st 'state))
                           `((,st (,creator))))

; We bind the live var so that user-stobj-alist-safe can catch misguided
; attempts to use functions like trans-eval in inappropriate contexts.

                    ,@(cond ((eq st 'state)
                             '((*inside-with-local-state* t)
                               (*wormholep*

; We are in a local state, so it is irrelevant whether or not we are in a
; wormhole, since (conceptually at least) the local state will be thrown away
; after making changes to it.

                                nil)
                               (*file-clock* *file-clock*)
                               (*t-stack* *t-stack*)
                               (*t-stack-length* *t-stack-length*)
                               (*32-bit-integer-stack* *32-bit-integer-stack*)
                               (*32-bit-integer-stack-length*
                                *32-bit-integer-stack-length*)))
                            (t `((,(the-live-var st) ,st)))))
               ,(let ((p (if w
                             (oneify producer flet-fns w program-p)
                           producer)))
                  (if (eq st 'state)

; We should lock this computation when #+acl2-par, even though special
; variables that are let-bound (including those bound above) are thread-local.

                      `(if (f-get-global 'parallel-execution-enabled
                                         *the-live-state*)

; Parallelism wart: this isn't really the right check for ACL2(p), because
; we've effectively disallowed the use of with-local-state, even when we're not
; executing in parallel!  This bothers Rager, because he wants to use
; with-local-state in code that isn't executing in parallel (in his
; dissertation's supporting evidence, for reading in files that contain
; performance results).  Instead, we should be calling
; warn-about-parallelism-hazard (similar to what we do in the definition of
; state-global-let*).

                           (er hard! 'with-local-state
                               "The use of with-local-state (or, ~
                                with-local-stobj where STATE is the stobj) is ~
                                disallowed with parallel execution enabled.  ~
                                To disable parallel execution, see :DOC ~
                                set-parallel-execution.")
                         ,p)
                    p)))
             (declare (ignore ,st))
             ,@(if w
                   (if (cdr rest) ; rest is ((declare (ignore ...)) body)
                       (list (car rest)
                             (oneify (cadr rest) flet-fns w program-p))
                     (list (oneify (car rest) flet-fns w program-p)))
                 rest))))

#-acl2-loop-only ; see the comment in mv-let-for-with-local-stobj
(defmacro with-local-stobj (&rest args)

; Below are some tests of local stobjs.

;  (defstobj foo bar xxx)
;
;  (thm (equal (create-foo) '(nil nil))) ; succeeds
;
;  (defun up1 (x foo)
;    (declare (xargs :stobjs foo))
;    (update-bar x foo))
;
;  (bar foo) ; nil
;
;  (up1 3 foo) ; <foo>
;
;  (bar foo) ; 3
;
;  (defun test (x) ; should fail; must use with-local-stobj explicitly
;    (mv-let (a b foo)
;            (let ((foo (create-foo)))
;              (let ((foo (up1 (1+ x) foo)))
;                (mv (bar foo) (xxx foo) foo)))
;            (declare (ignore foo))
;            (mv a b x)))
;
;  (defun test (x)
;    (declare (xargs :guard (acl2-numberp x) :verify-guards nil))
;    (with-local-stobj
;     foo
;     (mv-let (a b foo)
;             (let ((foo (up1 (1+ x) foo)))
;               (mv (bar foo) (xxx foo) foo))
;             (mv a b x))))
;
;  (test 17) ; (18 NIL 17)
;
;  (bar foo) ; 3
;
;  (thm (equal (test x) (list (1+ x) nil x))) ; succeeds
;
;  (thm (equal (test x) (list (1+ x) nil x)) ; succeeds
;       :hints (("Goal"
;                :in-theory
;                (enable
;                 (:executable-counterpart create-foo)))))
;
;  (thm (equal (test x) (list (1+ x) nil x)) ; fails, creating (NOT (NTH 1 (HIDE (CREATE-FOO))))
;       :hints (("Goal"
;                :in-theory
;                (set-difference-theories
;                 (enable
;                  (:executable-counterpart create-foo))
;                 '(create-foo)))))
;
;  (verify-guards test)
;
;  (test 17) ; (18 nil 17)
;
;  (bar foo) ; 3
;
;  (defun test2 (x)
;    (with-local-stobj
;     foo
;     (mv-let (a foo)
;             (let ((foo (up1 (1+ x) foo))) (mv (bar foo) foo))
;             (mv a x))))
;
;  (test2 12) ; (13 12)
;
;  (bar foo) ; 3
;
;  (thm (equal (test x) (mv-let (x y) (test2 x) (mv x nil y)))) ; succeeds
;
;  (create-foo) ; should get graceful error
;
;  (defun test3 (x) ; Should be OK.
;    (with-local-stobj
;     foo
;     (mv-let (a foo)
;             (let ((foo (up1 (1+ x) foo))) (mv (bar foo) foo))
;             a)))
;
;  (test3 11) ; 12
;
;  (bar foo) ; 3
;
;  (defun test4 (x foo) ; Should be OK.
;    (declare (xargs :stobjs foo
;                    :verify-guards nil))
;    (let* ((x+1
;           (with-local-stobj
;            foo
;            (mv-let (a foo)
;                    (let ((foo (up1 (1+ x) foo))) (mv (bar foo) foo))
;                    a)))
;           (foo (up1 92 foo)))
;      (mv x+1 foo)))
;
;  (test4 19 foo) ; (20 <foo>)
;
;  (bar foo) ; 92
;
;  (defun test5 (x foo) ; Should be OK.
;    (declare (xargs :stobjs foo
;                    :verify-guards nil))
;    (let* ((foo (up1 23 foo))
;           (x+1
;            (with-local-stobj
;             foo
;             (mv-let (a foo)
;                     (let ((foo (up1 (1+ x) foo))) (mv (bar foo) foo))
;                     a))))
;      (mv x+1 foo)))
;
;  (test5 35 foo) ; (36 <foo>)
;
;  (bar foo) ; 23
;
;  (with-local-stobj ; should get macroexpansion error or the equivalent
;   foo
;   (mv foo 3))
;
;  (defun trans-eval-test (x foo state) ; this part is ok
;    (declare (xargs :stobjs (foo state)
;                    :mode :program))
;    (mv-let (erp val state)
;            (trans-eval '(update-bar (cons 3 (bar foo)) foo) 'top state t)
;            (declare (ignore erp val))
;            (mv x foo state)))
;
;  (with-local-stobj ; should fail; cannot use with-local-stobj in top level loop
;   foo
;   (mv-let (x foo state)
;           (trans-eval-test 3 foo state t)
;           (mv x state)))
;
;  (pprogn
;   (with-local-stobj ; should fail with create-foo error
;    foo
;    (mv-let (x foo state)
;            (trans-eval-test 3 foo state t)
;            (declare (ignore x))
;            state))
;   (mv 3 state))
;
;  (defun test6 (a state)
;    (declare (xargs :mode :program :stobjs state))
;    (with-local-stobj
;     foo
;     (mv-let (x foo state)
;             (trans-eval-test a foo state t)
;             (mv x state))))
;
;  (test6 100 state) ; should get trans-eval error:  user-stobj-alist mismatch
;
;  (bar foo) ; 23, still -- trans-eval did not affect global state

; Below are some more tests, contributed by Rob Sumners.

;  (defstobj foo foo-fld)
;  (defstobj bar bar-fld)
;
;  (defun test-wls1 (x)
;    (with-local-stobj
;     foo
;     (mv-let (result foo)
;             (let ((foo (update-foo-fld 2 foo)))
;               (mv (with-local-stobj
;                    bar
;                    (mv-let (result bar)
;                            (let ((bar (update-bar-fld 3 bar)))
;                              (mv x bar))
;                            result))
;                   foo))
;             result)))
;
;  (test-wls1 129) ; 129
;
;  :comp t
;
;  (test-wls1 '(adjka 202)) ; '(ADJKA 202)
;
;  (thm (equal (test-wls1 x) x))
;
;  (defun test-wls2 (x)
;    (with-local-stobj
;     foo
;     (mv-let (result foo)
;             (let ((foo (update-foo-fld 2 foo)))
;               (mv (with-local-stobj
;                    foo
;                    (mv-let (result foo)
;                            (let ((foo (update-foo-fld 3 foo)))
;                              (mv x foo))
;                            result))
;                   foo))
;             result)))
;
;  (test-wls2 129) ; 129
;
;  :comp t
;
;  (test-wls2 '(adjka 202)) ; (ADJKA 202)
;
;  (thm (equal (test-wls2 x) x))
;
;  (defun test-wls3 (x)
;    (if (atom x) x
;      (with-local-stobj
;       foo
;       (mv-let (result foo)
;               (mv (cons (car x)
;                         (test-wls3 (cdr x)))
;                   foo)
;               (let ((x result))
;                 (if (atom x) x (cons (car x) (cdr x))))))))
;
;  (test-wls3 129) ; 129
;
;  :comp t
;
;  (test-wls3 '(adjka 202)) ; (ADJKA 202)
;
;  (thm (equal (test-wls3 x) x))

  (mv-let (erp st mv-let-form creator)
          (parse-with-local-stobj args)
          (if (or erp
                  (not (and (true-listp mv-let-form)
                            (<= 3 (length mv-let-form)))))
              (er hard 'with-local-stobj
                  "Macroexpansion of a with-local-stobj call caused an error. ~
                   See :DOC with-local-stobj.")
            (mv-let-for-with-local-stobj mv-let-form st creator nil nil nil))))

; The following definitions were moved here from other-events.lisp so that it
; is included in the toothbrush.

(defun parse-version (version)

; Version is an ACL2 version string, as in state global 'acl2-version.  We
; return (mv major minor incrl rest), where either major is nil, indicating an
; ill-formed version; or else major, minor, and incrl are natural numbers
; indicating the major, minor, and incrl version, and rest is the part of the
; string starting with #\(, if any.  For example,
; (parse-version "ACL2 Version 2.10") is (mv 2 10 0 "") and
; (parse-version "ACL2 Version 2.10.1(r)") is (mv 2 10 1 "(r)").

  (declare (xargs :guard (stringp version)))
  (let* ((root "ACL2 Version")
         (pos0 (if (and (stringp version)
                        (<= 13 (length version))
                        (equal (subseq version 0 12) root)
                        (or (eql (char version 12) #\Space)
                            (eql (char version 12) #\_)))
                   13
                 nil))
         (pos-lparen (position #\( version))
         (end0 (or pos-lparen
                   (length version)))
         (rest (subseq version end0 (length version)))
         (from-pos0 (and pos0 (subseq version pos0 end0)))
         (pos1-from-pos0 (and pos0 (position #\. from-pos0)))
         (pos1 (and pos1-from-pos0 (+ pos0 pos1-from-pos0)))
         (major (and pos1 (decimal-string-to-number
                           (subseq version pos0 pos1)
                           (- pos1 pos0) 0)))
         (from-pos1 (and pos1 (subseq version (1+ pos1) end0)))
         (pos2-from-pos1 (and pos1 (position #\. from-pos1)))
         (pos2 (if pos2-from-pos1
                   (+ (1+ pos1) pos2-from-pos1)
                 (and pos1 end0)))
         (minor (and pos2 (decimal-string-to-number
                           (subseq version (1+ pos1) pos2)
                           (1- (- pos2 pos1)) 0)))
         (incrl (if (and pos2 (< pos2 end0))
                    (decimal-string-to-number
                     (subseq version (1+ pos2) end0)
                     (1- (- end0 pos2))
                     0)
                  0)))
    (mv major minor incrl rest)))

#-acl2-loop-only
(defun-one-output latest-release-note-string ()
  (mv-let (major minor incrl rest)
    (parse-version (f-get-global 'acl2-version *the-live-state*))
    (declare (ignore rest))
    (if (zerop incrl)
        (format nil "note-~s-~s" major minor)
      (format nil "note-~s-~s-~s" major minor incrl))))

(defun pcd2 (n channel state)
  (declare (xargs :guard (integerp n)))
  (cond ((< n 10)
         (pprogn (princ$ "0" channel state)
                 (princ$ n channel state)))
        (t (princ$ n channel state))))

(defun power-rep (n b)
  (if (< n b)
      (list n)
    (cons (rem n b)
          (power-rep (floor n b) b))))

(defun decode-idate (n)
  (let ((tuple (power-rep n 100)))
    (cond
     ((< (len tuple) 6)
      (er hard 'decode-idate
          "Idates are supposed to decode to a list of at least length six ~
           but ~x0 decoded to ~x1."
          n tuple))
     ((equal (len tuple) 6) tuple)
     (t

; In this case, tuple is (secs mins hrs day month yr1 yr2 ...) where 0
; <= yri < 100 and (yr1 yr2 ...) represents a big number, yr, in base
; 100.  Yr is the number of years since 1900.

        (let ((secs (nth 0 tuple))
              (mins (nth 1 tuple))
              (hrs  (nth 2 tuple))
              (day  (nth 3 tuple))
              (mo   (nth 4 tuple))
              (yr (power-eval (cdr (cddddr tuple)) 100)))
          (list secs mins hrs day mo yr))))))

(defun print-idate (n channel state)
  (let* ((x (decode-idate n))
         (sec (car x))
         (minimum (cadr x))
         (hrs (caddr x))
         (day (cadddr x))
         (mo (car (cddddr x)))
         (yr (cadr (cddddr x))))  ; yr = years since 1900.  It is possible
                                  ; that yr > 99!
    (pprogn
     (princ$ (nth (1- mo)
              '(|January| |February| |March| |April| |May|
                |June| |July| |August| |September|
                |October| |November| |December|))
             channel state)
     (princ$ #\Space channel state)
     (princ$ day channel state)
     (princ$ "," channel state)
     (princ$ #\Space channel state)
     (princ$ (+ 1900 yr) channel state)
     (princ$ "  " channel state)
     (pcd2 hrs channel state)
     (princ$ ":" channel state)
     (pcd2 minimum channel state)
     (princ$ ":" channel state)
     (pcd2 sec channel state)
     state)))

; This definition was originally in acl2-init.lisp, but cmulisp warned that
; *open-output-channel-key*, print-idate, and idate were undefined.
#-acl2-loop-only
(defun saved-build-date-string ()
  (with-output-to-string
   (str)
   (setf (get 'tmp-channel *open-output-channel-key*)
         str)
   (print-idate (idate)
                'tmp-channel
                *the-live-state*)
   (remprop 'tmp-channel *open-output-channel-key*)
   str))

; Quitting

(defun good-bye-fn (status)
  (declare (xargs :mode :logic :guard t))
  #-acl2-loop-only
  (exit-lisp (ifix status))
  status)

(defmacro good-bye (&optional (status '0))
  `(good-bye-fn ,status))

(defmacro exit (&optional (status '0))
  `(good-bye-fn ,status))

(defmacro quit (&optional (status '0))
  `(good-bye-fn ,status))

; Saving an Executable Image

#-acl2-loop-only
(defparameter *initial-cbd* nil)

#-acl2-loop-only
(defvar *return-from-lp* nil)

#-acl2-loop-only
(defvar *lp-init-forms* nil)

(defun save-exec-fn (exec-filename extra-startup-string host-lisp-args
                                   toplevel-args inert-args return-from-lp
                                   init-forms)

  #-acl2-loop-only
  (progn

    (when (not (our-probe-file (directory-namestring exec-filename)))

; Without this check, CCL will create a directory for us; yet SBCL will not.
; We prefer consistent behavior across all Lisps.  Here we choose to require
; the directory to exist already, to prevent users from creating directories
; they don't want by mistake.

      (error "~s is unable to save to file ~s, because its directory does not ~
              exist."
             'save-exec exec-filename))

; Parallelism blemish: it may be a good idea to reset the parallelism variables
; in all #+acl2-par compilations before saving the image.

    (when (and init-forms return-from-lp)

; For each of return-from-lp and init-forms, a non-nil value takes us through a
; different branch of LP.  Rather than support the use of both, we cause an
; error.

      (er hard 'save-exec
          "The use of non-nil values for both :init-forms and :return-from-lp ~
           is not supported for save-exec.  Consider using only :init-forms, ~
           with (value :q) as the final form."))
    (setq *return-from-lp* return-from-lp)
    (setq *lp-init-forms* init-forms)
    #-sbcl (when toplevel-args
             (er hard 'save-exec
                 "Keyword argument :toplevel-args is only allowed when the ~
                  host Lisp is SBCL."))
    (if (not (eql *ld-level* 0))
        (er hard 'save-exec
            "Please type :q to exit the ACL2 read-eval-print loop and then try ~
             again."))
    (if (equal extra-startup-string "")
        (er hard 'save-exec
            "The extra-startup-string argument of save-exec must be ~x0 or ~
             else a non-empty string."
            nil)
      (setq *saved-string*
            (format
             nil
             "~a~%MODIFICATION NOTICE:~%~%~a~%"
             *saved-string*
             (cond ((null extra-startup-string)
                    "This ACL2 executable was created by saving a session.")
                   (t extra-startup-string)))))
    #-(or gcl cmu sbcl allegro clisp ccl lispworks)
    (er hard 'save-exec
        "Sorry, but save-exec is not implemented for this Common Lisp.")

; The forms just below, before the call of save-exec-raw, are there so that the
; initial (lp) will set the :cbd correctly.

    (f-put-global 'connected-book-directory nil *the-live-state*)
    (setq *initial-cbd* nil)
    (setq *startup-package-name* (package-name *package*))
    (setq *saved-build-date-lst*

; By using setq here for *saved-build-date* instead of a let-binding for
; save-exec-raw, it happens that saving more than once in the same session (for
; Lisps that allow this, such as Allegro CL but not GCL) would result in extra
; "; then ..." strings.  But that seems a minor problem, and avoids having to
; think about the effect of having a let-binding in force above a save of an
; image.

          (cons (saved-build-date-string)
                *saved-build-date-lst*))
    (save-exec-raw exec-filename
                   host-lisp-args
                   #+sbcl toplevel-args
                   inert-args))
  #+acl2-loop-only
  (declare (ignore exec-filename extra-startup-string host-lisp-args
                   toplevel-args inert-args return-from-lp init-forms))
  nil ; Won't get to here in GCL and perhaps other lisps
  )

(defmacro save-exec (exec-filename extra-startup-string
                                   &key
                                   host-lisp-args toplevel-args inert-args
                                   return-from-lp init-forms)
  `(save-exec-fn ,exec-filename ,extra-startup-string ,host-lisp-args
                 ,toplevel-args ,inert-args ,return-from-lp ,init-forms))

(defconst *slash-dot-dot*
  (concatenate 'string *directory-separator-string* ".."))

(defconst *length-slash-dot-dot*
  (length *slash-dot-dot*))

(defun find-dot-dot (full-pathname i)

; Termination and even guard-verification are proved in community book
; books/system/extend-pathname.lisp.

  (declare (xargs :guard (and (stringp full-pathname)
                              (natp i)
                              (<= i (length full-pathname)))
                  :measure (nfix (- (length full-pathname) i))))
  (let ((pos (search *slash-dot-dot* full-pathname :start2 i)))
    (and pos
         (let ((pos+3 (+ pos *length-slash-dot-dot*)))
           (cond
            ((or (eql pos+3 (length full-pathname))
                 (eql (char full-pathname pos+3) *directory-separator*))
             pos)
            ((mbt (<= pos+3 (length full-pathname)))
             (find-dot-dot full-pathname pos+3)))))))

(mutual-recursion

; The :measure declarations in this mutual-recursion nest are in support of
; community book books/system/extend-pathname.lisp.  The :guard declarations
; below are intended to be correct, but we won't really know until guards have
; been verified; it seems quite possible that the guards will need to be
; adjusted.

(defun cancel-dot-dots (full-pathname)
  (declare (xargs :guard (stringp full-pathname)
                  :measure (* 2 (length full-pathname))))
  (let ((p (find-dot-dot full-pathname 0)))
    (cond ((and p
                (mbt ; termination help
                 (and (natp p)
                      (stringp full-pathname)
                      (< p (length full-pathname)))))
           (let ((new-p
                  (merge-using-dot-dot
                   (subseq full-pathname 0 p)
                   (subseq full-pathname (1+ p) (length full-pathname)))))
             (and (mbt ; termination help
                   (and (stringp new-p)
                        (< (length new-p) (length full-pathname))))
                  (cancel-dot-dots new-p))))
          (t full-pathname))))

(defun get-parent-directory (p0)

; P is an absolute pathname for a directory, not a file, where p does not end
; in "/".  We return an absolute pathname for its parent directory, not
; including the trailing "/".  See also get-directory-of-file, which is a
; related function for files.

  (declare (xargs :guard (stringp p0)
                  :measure (1+ (* 2 (length p0)))))
  (let* ((p (and (mbt (stringp p0))
                 (cancel-dot-dots p0)))
         (posn (search *directory-separator-string* p :from-end t)))
    (cond
     (posn (subseq p 0 posn))
     (t (er hard? 'get-parent-directory
            "Implementation error!  Unable to get parent directory for ~
             directory ~x0."
            p0)))))

(defun merge-using-dot-dot (p s)

; P is the absolute pathname of a directory without the final "/".  S is a
; pathname (for a file or a directory) that may start with any number of
; sequences "../" and "./".  We want to "cancel" the leading "../"s in s
; against directories at the end of p, and eliminate leading "./"s from s
; (including leading "." if that is all of s).  The result should syntactically
; represent a directory (end with a "/" or "."  or be "") if and only if s
; syntactically represents a directory.

; This code is intended to be simple, not necessarily efficient.

  (declare (xargs :guard (and (stringp p)
                              (stringp s)
                              (not (equal s "")))
                  :measure (+ 1 (* 2 (+ (length p) (length s))))))
  (cond
   ((not (mbt ; termination help
          (and (stringp p)
               (stringp s)
               (not (equal s "")))))
    nil)
   ((equal p "") s)
   ((equal s "..")
    (concatenate 'string
                 (get-parent-directory p)
                 *directory-separator-string*))
   ((equal s ".")
    (concatenate 'string
                 p
                 *directory-separator-string*))
   ((and (>= (length s) 3)
         (eql (char s 0) #\.)
         (eql (char s 1) #\.)
         (eql (char s 2) #\/)
         (mbt (<= (length (get-parent-directory p)) ; termination help
                  (length p))))
    (merge-using-dot-dot (get-parent-directory p)
                         (subseq s 3 (length s))))
   ((and (>= (length s) 2)
         (eql (char s 0) #\.)
         (eql (char s 1) #\/))
    (merge-using-dot-dot p (subseq s 2 (length s))))
   (t
    (concatenate 'string p *directory-separator-string* s))))

)