package octez-proto-libs

  1. Overview
  2. Docs
Legend:
Page
Library
Module
Module type
Parameter
Class
Class type
Source

Source file v5.ml

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
7280
7281
7282
7283
7284
7285
7286
7287
7288
7289
7290
7291
7292
7293
7294
7295
7296
7297
7298
7299
7300
7301
7302
7303
7304
7305
7306
7307
7308
7309
7310
7311
7312
7313
7314
7315
7316
7317
7318
7319
7320
7321
7322
7323
7324
7325
7326
7327
7328
7329
7330
7331
7332
7333
7334
7335
7336
7337
7338
7339
7340
7341
7342
7343
7344
7345
7346
7347
7348
7349
7350
7351
7352
7353
7354
7355
7356
7357
7358
7359
7360
7361
7362
7363
7364
7365
7366
7367
7368
7369
7370
7371
7372
7373
7374
7375
7376
7377
7378
7379
7380
7381
7382
7383
7384
7385
7386
7387
7388
7389
7390
7391
7392
7393
7394
7395
7396
7397
7398
7399
7400
7401
7402
7403
7404
7405
7406
7407
7408
7409
7410
7411
7412
7413
7414
7415
7416
7417
7418
7419
7420
7421
7422
7423
7424
7425
7426
7427
7428
7429
7430
7431
7432
7433
7434
7435
7436
7437
7438
7439
7440
7441
7442
7443
7444
7445
7446
7447
7448
7449
7450
7451
7452
7453
7454
7455
7456
7457
7458
7459
7460
7461
7462
7463
7464
7465
7466
7467
7468
7469
7470
7471
7472
7473
7474
7475
7476
7477
7478
7479
7480
7481
7482
7483
7484
7485
7486
7487
7488
7489
7490
7491
7492
7493
7494
7495
7496
7497
7498
7499
7500
7501
7502
7503
7504
7505
7506
7507
7508
7509
7510
7511
7512
7513
7514
7515
7516
7517
7518
7519
7520
7521
7522
7523
7524
7525
7526
7527
7528
7529
7530
7531
7532
7533
7534
7535
7536
7537
7538
7539
7540
7541
7542
7543
7544
7545
7546
7547
7548
7549
7550
7551
7552
7553
7554
7555
7556
7557
7558
7559
7560
7561
7562
7563
7564
7565
7566
7567
7568
7569
7570
7571
7572
7573
7574
7575
7576
7577
7578
7579
7580
7581
7582
7583
7584
7585
7586
7587
7588
7589
7590
7591
7592
7593
7594
7595
7596
7597
7598
7599
7600
7601
7602
7603
7604
7605
7606
7607
7608
7609
7610
7611
7612
7613
7614
7615
7616
7617
7618
7619
7620
7621
7622
7623
7624
7625
7626
7627
7628
7629
7630
7631
7632
7633
7634
7635
7636
7637
7638
7639
7640
7641
7642
7643
7644
7645
7646
7647
7648
7649
7650
7651
7652
7653
7654
7655
7656
7657
7658
7659
7660
7661
7662
7663
7664
7665
7666
7667
7668
7669
7670
7671
7672
7673
7674
7675
7676
7677
7678
7679
7680
7681
7682
7683
7684
7685
7686
7687
7688
7689
7690
7691
7692
7693
7694
7695
7696
7697
7698
7699
7700
7701
7702
7703
7704
7705
7706
7707
7708
7709
7710
7711
7712
7713
7714
7715
7716
7717
7718
7719
7720
7721
7722
7723
7724
7725
7726
7727
7728
7729
7730
7731
7732
7733
7734
7735
7736
7737
7738
7739
7740
7741
7742
7743
7744
7745
7746
7747
7748
7749
7750
7751
7752
7753
7754
7755
7756
7757
7758
7759
7760
7761
7762
7763
7764
7765
7766
7767
7768
7769
7770
7771
7772
7773
7774
7775
7776
7777
7778
7779
7780
7781
7782
7783
7784
7785
7786
7787
7788
7789
7790
7791
7792
7793
7794
7795
7796
7797
7798
7799
7800
7801
7802
7803
7804
7805
7806
7807
7808
7809
7810
7811
7812
7813
7814
7815
7816
7817
7818
7819
7820
7821
7822
7823
7824
7825
7826
7827
7828
7829
7830
7831
7832
7833
7834
7835
7836
7837
7838
7839
7840
7841
7842
7843
7844
7845
7846
7847
7848
7849
7850
7851
7852
7853
7854
7855
7856
7857
7858
7859
7860
7861
7862
7863
7864
7865
7866
7867
7868
7869
7870
7871
7872
7873
7874
7875
7876
7877
7878
7879
7880
7881
7882
7883
7884
7885
7886
7887
7888
7889
7890
7891
7892
7893
7894
7895
7896
7897
7898
7899
7900
7901
7902
7903
7904
7905
7906
7907
7908
7909
7910
7911
7912
7913
7914
7915
7916
7917
7918
7919
7920
7921
7922
7923
7924
7925
7926
7927
7928
7929
7930
7931
7932
7933
7934
7935
7936
7937
7938
7939
7940
7941
7942
7943
7944
7945
7946
7947
7948
7949
7950
7951
7952
7953
7954
7955
7956
7957
7958
7959
7960
7961
7962
7963
7964
7965
7966
7967
7968
7969
7970
7971
7972
7973
7974
7975
7976
7977
7978
7979
7980
7981
7982
7983
7984
7985
7986
7987
7988
7989
7990
7991
7992
7993
7994
7995
7996
7997
7998
7999
8000
8001
8002
8003
8004
8005
8006
8007
8008
8009
8010
8011
8012
8013
8014
8015
8016
8017
8018
8019
8020
8021
8022
8023
8024
8025
8026
8027
8028
8029
8030
8031
8032
8033
8034
8035
8036
8037
8038
8039
8040
8041
8042
8043
8044
8045
8046
8047
8048
8049
8050
8051
8052
8053
8054
8055
8056
8057
8058
8059
8060
8061
8062
8063
8064
8065
8066
8067
8068
8069
8070
8071
8072
8073
8074
8075
8076
8077
8078
8079
8080
8081
8082
8083
8084
8085
8086
8087
8088
8089
8090
8091
8092
8093
8094
8095
8096
8097
8098
8099
8100
8101
8102
8103
8104
8105
8106
8107
8108
8109
8110
8111
8112
8113
8114
8115
8116
8117
8118
8119
8120
8121
8122
8123
8124
8125
8126
8127
8128
8129
8130
8131
8132
8133
8134
8135
8136
8137
8138
8139
8140
8141
8142
8143
8144
8145
8146
8147
8148
8149
8150
8151
8152
8153
8154
8155
8156
8157
8158
8159
8160
8161
8162
8163
8164
8165
8166
8167
8168
8169
8170
8171
8172
8173
8174
8175
8176
8177
8178
8179
8180
8181
8182
8183
8184
8185
8186
8187
8188
8189
8190
8191
8192
8193
8194
8195
8196
8197
8198
8199
8200
8201
8202
8203
8204
8205
8206
8207
8208
8209
8210
8211
8212
8213
8214
8215
8216
8217
8218
8219
8220
8221
8222
8223
8224
8225
8226
8227
8228
8229
8230
8231
8232
8233
8234
8235
8236
8237
8238
8239
8240
8241
8242
8243
8244
8245
8246
8247
8248
8249
8250
8251
8252
8253
8254
8255
8256
8257
8258
8259
8260
8261
8262
8263
8264
8265
8266
8267
8268
8269
8270
8271
8272
8273
8274
8275
8276
8277
8278
8279
8280
8281
8282
8283
8284
8285
8286
8287
8288
8289
8290
8291
8292
8293
8294
8295
8296
8297
8298
8299
8300
8301
8302
8303
8304
8305
8306
8307
8308
8309
8310
8311
8312
8313
8314
8315
8316
8317
8318
8319
8320
8321
8322
8323
8324
8325
8326
8327
8328
8329
8330
8331
8332
8333
8334
8335
8336
8337
8338
8339
8340
8341
8342
8343
8344
8345
8346
8347
8348
8349
8350
8351
8352
8353
8354
8355
8356
8357
8358
8359
8360
8361
8362
8363
8364
8365
8366
8367
8368
8369
8370
8371
8372
8373
8374
8375
8376
8377
8378
8379
8380
8381
8382
8383
8384
8385
8386
8387
8388
8389
8390
8391
8392
8393
8394
8395
8396
8397
8398
8399
8400
8401
8402
8403
8404
8405
8406
8407
8408
8409
8410
8411
8412
8413
8414
8415
8416
8417
8418
8419
8420
8421
8422
8423
8424
8425
8426
8427
8428
8429
8430
8431
8432
8433
8434
8435
8436
8437
8438
8439
8440
8441
8442
8443
8444
8445
8446
8447
8448
8449
8450
8451
8452
8453
8454
8455
8456
8457
8458
8459
8460
8461
8462
8463
8464
8465
8466
8467
8468
8469
8470
8471
8472
8473
8474
8475
8476
8477
8478
8479
8480
8481
8482
8483
8484
8485
8486
8487
8488
8489
8490
8491
8492
8493
8494
8495
8496
8497
8498
8499
8500
8501
8502
8503
8504
8505
8506
8507
8508
8509
8510
8511
8512
8513
8514
8515
8516
8517
8518
8519
8520
8521
8522
8523
8524
8525
8526
8527
8528
8529
8530
8531
8532
8533
8534
8535
8536
8537
8538
8539
8540
8541
8542
8543
8544
8545
8546
8547
8548
8549
8550
8551
8552
8553
8554
8555
8556
8557
8558
8559
8560
8561
8562
8563
8564
8565
8566
8567
8568
8569
8570
8571
8572
8573
8574
8575
8576
8577
8578
8579
8580
8581
8582
8583
8584
8585
8586
8587
8588
8589
8590
8591
8592
8593
8594
8595
8596
8597
8598
8599
8600
8601
8602
8603
8604
8605
8606
8607
8608
8609
8610
8611
8612
8613
8614
8615
8616
8617
8618
8619
8620
8621
8622
8623
8624
8625
8626
8627
8628
8629
8630
8631
8632
8633
8634
8635
8636
8637
8638
8639
8640
8641
8642
8643
8644
8645
8646
8647
8648
8649
8650
8651
8652
8653
8654
8655
8656
8657
8658
8659
8660
8661
8662
8663
8664
8665
8666
8667
8668
8669
8670
8671
8672
8673
8674
8675
8676
8677
8678
8679
8680
8681
8682
8683
8684
8685
8686
8687
8688
8689
8690
8691
8692
8693
8694
8695
8696
8697
8698
8699
8700
8701
8702
8703
8704
8705
8706
8707
8708
8709
8710
8711
8712
8713
8714
8715
8716
8717
8718
8719
8720
8721
8722
8723
8724
8725
8726
8727
8728
8729
8730
8731
8732
8733
8734
8735
8736
8737
8738
8739
8740
8741
8742
8743
8744
8745
8746
8747
8748
8749
8750
8751
8752
8753
8754
8755
8756
8757
8758
8759
8760
8761
8762
8763
8764
8765
8766
8767
8768
8769
8770
8771
8772
8773
8774
8775
8776
8777
8778
8779
8780
8781
8782
8783
8784
8785
8786
8787
8788
8789
8790
8791
8792
8793
8794
8795
8796
8797
8798
8799
8800
8801
8802
8803
8804
8805
8806
8807
8808
8809
8810
8811
8812
8813
8814
8815
8816
8817
8818
8819
8820
8821
8822
8823
8824
8825
8826
8827
8828
8829
8830
8831
8832
8833
8834
8835
8836
8837
8838
8839
8840
8841
8842
8843
8844
8845
8846
8847
8848
8849
8850
8851
8852
8853
8854
8855
8856
8857
8858
8859
8860
8861
8862
8863
8864
8865
8866
8867
8868
8869
8870
8871
8872
8873
8874
8875
8876
8877
8878
8879
8880
8881
8882
8883
8884
8885
8886
8887
8888
8889
8890
8891
8892
8893
8894
8895
8896
8897
8898
8899
8900
8901
8902
8903
8904
8905
8906
8907
8908
8909
8910
8911
8912
8913
8914
8915
8916
8917
8918
8919
8920
8921
8922
8923
8924
8925
8926
8927
8928
8929
8930
8931
8932
8933
8934
8935
8936
8937
8938
8939
8940
8941
8942
8943
8944
8945
8946
8947
8948
8949
8950
8951
8952
8953
8954
8955
8956
8957
8958
8959
8960
8961
8962
8963
8964
8965
8966
8967
8968
8969
8970
8971
8972
8973
8974
8975
8976
8977
8978
8979
8980
8981
8982
8983
8984
8985
8986
8987
8988
8989
8990
8991
8992
8993
8994
8995
8996
8997
8998
8999
9000
9001
9002
9003
9004
9005
9006
9007
9008
9009
9010
9011
9012
9013
9014
9015
9016
9017
9018
9019
9020
9021
9022
9023
9024
9025
9026
9027
9028
9029
9030
9031
9032
9033
9034
9035
9036
9037
9038
9039
9040
9041
9042
9043
9044
9045
9046
9047
9048
9049
9050
9051
9052
9053
9054
9055
9056
9057
9058
9059
9060
9061
9062
9063
9064
9065
9066
9067
9068
9069
9070
9071
9072
9073
9074
9075
9076
9077
9078
9079
9080
9081
9082
9083
9084
9085
9086
9087
9088
9089
9090
9091
9092
9093
9094
9095
9096
9097
9098
9099
9100
9101
9102
9103
9104
9105
9106
9107
9108
9109
9110
9111
9112
9113
9114
9115
9116
9117
9118
9119
9120
9121
9122
9123
9124
9125
9126
9127
9128
9129
9130
9131
9132
9133
9134
9135
9136
9137
9138
9139
9140
9141
9142
9143
9144
9145
9146
9147
9148
9149
9150
9151
9152
9153
9154
9155
9156
9157
9158
9159
9160
9161
9162
9163
9164
9165
9166
9167
9168
9169
9170
9171
9172
9173
9174
9175
9176
9177
9178
9179
9180
9181
9182
9183
9184
9185
9186
9187
9188
9189
9190
9191
9192
9193
9194
9195
9196
9197
9198
9199
9200
9201
9202
9203
9204
9205
9206
9207
9208
9209
9210
9211
9212
9213
9214
9215
9216
9217
9218
9219
9220
9221
9222
9223
9224
9225
9226
9227
9228
9229
9230
9231
9232
9233
9234
9235
9236
9237
9238
9239
9240
9241
9242
9243
9244
9245
9246
9247
9248
9249
9250
9251
9252
9253
9254
9255
9256
9257
9258
9259
9260
9261
9262
9263
9264
9265
9266
9267
9268
9269
9270
9271
9272
9273
9274
9275
9276
9277
9278
9279
9280
9281
9282
9283
9284
9285
9286
9287
9288
9289
9290
9291
9292
9293
9294
9295
9296
9297
9298
9299
9300
9301
9302
9303
9304
9305
9306
9307
9308
9309
9310
9311
9312
9313
9314
9315
9316
9317
9318
9319
9320
9321
9322
9323
9324
9325
9326
9327
9328
9329
9330
9331
9332
9333
9334
9335
9336
9337
9338
9339
9340
9341
9342
9343
9344
9345
9346
9347
9348
9349
9350
9351
9352
9353
9354
9355
9356
9357
9358
9359
9360
9361
9362
9363
9364
9365
9366
9367
9368
9369
9370
9371
9372
9373
9374
9375
9376
9377
9378
9379
9380
9381
9382
9383
9384
9385
9386
9387
9388
9389
9390
9391
9392
9393
9394
9395
9396
9397
9398
9399
9400
9401
9402
9403
9404
9405
9406
9407
9408
9409
9410
9411
9412
9413
9414
9415
9416
9417
9418
9419
9420
9421
9422
9423
9424
9425
9426
9427
9428
9429
9430
9431
9432
9433
9434
9435
9436
9437
9438
9439
9440
9441
9442
9443
9444
9445
9446
9447
9448
9449
9450
9451
9452
9453
9454
9455
9456
9457
9458
9459
9460
9461
9462
9463
9464
9465
9466
9467
9468
9469
9470
9471
9472
9473
9474
9475
9476
9477
9478
9479
9480
9481
9482
9483
9484
9485
9486
9487
9488
9489
9490
9491
9492
9493
9494
9495
9496
9497
9498
9499
9500
9501
9502
9503
9504
9505
9506
9507
9508
9509
9510
9511
9512
9513
9514
9515
9516
9517
9518
9519
9520
9521
9522
9523
9524
9525
9526
9527
9528
9529
9530
9531
9532
9533
9534
9535
9536
9537
9538
9539
9540
9541
9542
9543
9544
9545
9546
9547
9548
9549
9550
9551
9552
9553
9554
9555
9556
9557
9558
9559
9560
9561
9562
9563
9564
9565
9566
9567
9568
9569
9570
9571
9572
9573
9574
9575
9576
9577
9578
9579
9580
9581
9582
9583
9584
9585
9586
9587
9588
9589
9590
9591
9592
9593
9594
9595
9596
9597
9598
9599
9600
9601
9602
9603
9604
9605
9606
9607
9608
9609
9610
9611
9612
9613
9614
9615
9616
9617
9618
9619
9620
9621
9622
9623
9624
9625
9626
9627
9628
9629
9630
9631
9632
9633
9634
9635
9636
9637
9638
9639
9640
9641
9642
9643
9644
9645
9646
9647
9648
9649
9650
9651
9652
9653
9654
9655
9656
9657
9658
9659
9660
9661
9662
9663
9664
9665
9666
9667
9668
9669
9670
9671
9672
9673
9674
9675
9676
9677
9678
9679
9680
9681
9682
9683
9684
9685
9686
9687
9688
9689
9690
9691
9692
9693
9694
9695
9696
9697
9698
9699
9700
9701
9702
9703
9704
9705
9706
9707
9708
9709
9710
9711
9712
9713
9714
9715
9716
9717
9718
9719
9720
9721
9722
9723
9724
9725
9726
9727
9728
9729
9730
9731
9732
9733
9734
9735
9736
9737
9738
9739
9740
9741
9742
9743
9744
9745
9746
9747
9748
9749
9750
9751
9752
9753
9754
9755
9756
9757
9758
9759
9760
9761
9762
9763
9764
9765
9766
9767
9768
9769
9770
9771
9772
9773
9774
9775
9776
9777
9778
9779
9780
9781
9782
9783
9784
9785
9786
9787
9788
9789
9790
9791
9792
9793
9794
9795
9796
9797
9798
9799
9800
9801
9802
9803
9804
9805
9806
9807
9808
9809
9810
9811
9812
9813
9814
9815
9816
9817
9818
9819
9820
9821
9822
9823
9824
9825
9826
9827
9828
9829
9830
9831
9832
9833
9834
9835
9836
9837
9838
9839
9840
9841
9842
9843
9844
9845
9846
9847
9848
9849
9850
9851
9852
9853
9854
9855
9856
9857
9858
9859
9860
9861
9862
9863
9864
9865
9866
9867
9868
9869
9870
9871
9872
9873
9874
9875
9876
9877
9878
9879
9880
9881
9882
9883
9884
9885
9886
9887
9888
9889
9890
9891
9892
9893
9894
9895
9896
9897
9898
9899
9900
9901
9902
9903
9904
9905
9906
9907
9908
9909
9910
9911
9912
9913
9914
9915
9916
9917
9918
9919
9920
9921
9922
9923
9924
9925
9926
9927
9928
9929
9930
9931
9932
9933
9934
9935
9936
9937
9938
9939
9940
9941
9942
9943
9944
9945
9946
9947
9948
9949
9950
9951
9952
9953
9954
9955
9956
9957
9958
9959
9960
9961
9962
9963
9964
9965
9966
9967
9968
9969
9970
9971
9972
9973
9974
9975
9976
9977
9978
9979
9980
9981
9982
9983
9984
9985
9986
9987
9988
9989
9990
9991
9992
9993
9994
9995
9996
9997
9998
9999
10000
10001
10002
10003
10004
10005
10006
10007
10008
10009
10010
10011
10012
10013
10014
10015
10016
10017
10018
10019
10020
10021
10022
10023
10024
10025
10026
10027
10028
10029
10030
10031
10032
10033
10034
10035
10036
10037
10038
10039
10040
10041
10042
10043
10044
10045
10046
10047
10048
10049
10050
10051
10052
10053
10054
10055
10056
10057
10058
10059
10060
10061
10062
10063
10064
10065
10066
10067
10068
10069
10070
10071
10072
10073
10074
10075
10076
10077
10078
10079
10080
10081
10082
10083
10084
10085
10086
10087
10088
10089
10090
10091
10092
10093
10094
10095
10096
10097
10098
10099
10100
10101
10102
10103
10104
10105
10106
10107
10108
10109
10110
10111
10112
10113
10114
10115
10116
10117
10118
10119
10120
10121
10122
10123
10124
10125
10126
10127
10128
10129
10130
10131
10132
10133
10134
10135
10136
10137
10138
10139
10140
10141
10142
10143
10144
10145
10146
10147
10148
10149
10150
10151
10152
10153
10154
10155
10156
10157
10158
10159
10160
10161
10162
10163
10164
10165
10166
10167
10168
10169
10170
10171
10172
10173
10174
10175
10176
10177
10178
10179
10180
10181
10182
10183
10184
10185
10186
10187
10188
10189
10190
10191
10192
10193
10194
10195
10196
10197
10198
10199
10200
10201
10202
10203
10204
10205
10206
10207
10208
10209
10210
10211
10212
10213
10214
10215
10216
10217
10218
10219
10220
10221
10222
10223
10224
10225
10226
10227
10228
10229
10230
10231
10232
10233
10234
10235
10236
10237
10238
10239
10240
10241
10242
10243
10244
10245
10246
10247
10248
10249
10250
10251
10252
10253
10254
10255
10256
10257
10258
10259
10260
10261
10262
10263
10264
10265
10266
10267
10268
10269
10270
10271
10272
10273
10274
10275
10276
10277
10278
10279
10280
10281
10282
10283
10284
10285
10286
10287
10288
10289
10290
10291
10292
10293
10294
10295
10296
10297
10298
10299
10300
10301
10302
10303
10304
10305
10306
10307
10308
10309
10310
10311
10312
10313
10314
10315
10316
10317
10318
10319
10320
10321
10322
10323
10324
10325
10326
10327
10328
10329
10330
10331
10332
10333
10334
10335
10336
10337
10338
10339
10340
10341
10342
10343
10344
10345
10346
10347
10348
10349
10350
10351
10352
10353
10354
10355
10356
10357
10358
10359
10360
10361
10362
10363
10364
10365
10366
10367
10368
10369
10370
10371
10372
10373
10374
10375
10376
10377
10378
10379
10380
10381
10382
10383
10384
10385
10386
10387
10388
10389
10390
10391
10392
10393
10394
10395
10396
10397
10398
10399
10400
10401
10402
10403
10404
10405
10406
10407
10408
10409
10410
10411
10412
10413
10414
10415
10416
10417
10418
10419
10420
10421
10422
10423
10424
10425
10426
10427
10428
10429
10430
10431
10432
10433
10434
10435
10436
10437
10438
10439
10440
10441
10442
10443
10444
10445
10446
10447
10448
10449
10450
10451
10452
10453
10454
10455
10456
10457
10458
10459
10460
10461
10462
10463
10464
10465
10466
10467
10468
10469
10470
10471
10472
10473
10474
10475
10476
10477
10478
10479
10480
10481
10482
10483
10484
10485
10486
10487
10488
10489
10490
10491
10492
10493
10494
10495
10496
10497
10498
10499
10500
10501
10502
10503
10504
10505
10506
10507
10508
10509
10510
10511
10512
10513
10514
10515
10516
10517
10518
10519
10520
10521
10522
10523
10524
10525
10526
10527
10528
10529
10530
10531
10532
10533
10534
10535
10536
10537
10538
10539
10540
10541
10542
10543
10544
10545
10546
10547
10548
10549
10550
10551
10552
10553
10554
10555
10556
10557
10558
10559
10560
10561
10562
10563
10564
10565
10566
10567
10568
10569
10570
10571
10572
10573
10574
10575
10576
10577
10578
10579
10580
10581
10582
10583
10584
10585
10586
10587
10588
10589
10590
10591
10592
10593
10594
10595
10596
10597
10598
10599
10600
10601
10602
10603
10604
10605
10606
10607
10608
10609
10610
10611
10612
10613
10614
10615
10616
10617
10618
10619
10620
10621
10622
10623
10624
10625
10626
10627
10628
10629
10630
10631
10632
10633
10634
10635
10636
10637
10638
10639
10640
10641
10642
10643
10644
10645
10646
10647
10648
10649
10650
10651
10652
10653
10654
10655
10656
10657
10658
10659
10660
10661
10662
10663
10664
10665
10666
10667
10668
10669
10670
10671
10672
10673
10674
10675
10676
10677
10678
10679
10680
10681
10682
10683
10684
10685
10686
10687
10688
10689
10690
10691
10692
10693
10694
10695
10696
10697
10698
10699
10700
10701
10702
10703
10704
10705
10706
10707
10708
10709
10710
10711
10712
10713
10714
10715
10716
10717
10718
10719
10720
10721
10722
10723
10724
10725
10726
10727
10728
10729
10730
10731
10732
10733
10734
10735
10736
10737
10738
10739
10740
10741
10742
10743
10744
10745
10746
10747
10748
10749
10750
10751
10752
10753
10754
10755
10756
10757
10758
10759
10760
10761
10762
10763
10764
10765
10766
10767
10768
10769
10770
10771
10772
10773
10774
10775
10776
10777
10778
10779
10780
10781
10782
10783
10784
10785
10786
10787
10788
10789
10790
10791
10792
10793
10794
10795
10796
10797
10798
10799
10800
10801
10802
10803
10804
10805
10806
10807
10808
10809
10810
10811
10812
10813
10814
10815
10816
10817
10818
10819
10820
10821
10822
10823
10824
10825
10826
10827
10828
10829
10830
10831
10832
10833
10834
10835
10836
10837
10838
10839
10840
10841
10842
10843
10844
10845
10846
10847
10848
10849
10850
10851
10852
10853
10854
10855
10856
10857
10858
10859
10860
10861
10862
10863
10864
10865
10866
10867
10868
10869
10870
10871
10872
10873
10874
10875
10876
10877
10878
10879
10880
10881
10882
10883
10884
10885
10886
10887
10888
10889
10890
10891
10892
10893
10894
10895
10896
10897
10898
10899
10900
10901
10902
10903
10904
10905
10906
10907
10908
10909
10910
10911
10912
10913
10914
10915
10916
10917
10918
10919
10920
10921
10922
10923
10924
10925
10926
10927
10928
10929
10930
10931
10932
10933
10934
10935
10936
10937
10938
10939
10940
10941
10942
10943
10944
10945
10946
(* This file was automatically generated, do not edit.*)
(* Edit file v5.in.ml instead. *)
# 1 "v5.in.ml"
module type T = sig
  module CamlinternalFormatBasics : module type of struct
    include Tezos_protocol_environment_sigs_internals.CamlinternalFormatBasics
  end

  module Pervasives : sig
# 1 "v5/pervasives.mli"
(**************************************************************************)
(*                                                                        *)
(*                                 OCaml                                  *)
(*                                                                        *)
(*             Xavier Leroy, projet Cristal, INRIA Rocquencourt           *)
(*                                                                        *)
(*   Copyright 1996 Institut National de Recherche en Informatique et     *)
(*     en Automatique.                                                    *)
(*                                                                        *)
(*   All rights reserved.  This file is distributed under the terms of    *)
(*   the GNU Lesser General Public License version 2.1, with the          *)
(*   special exception on linking described in the file LICENSE.          *)
(*                                                                        *)
(**************************************************************************)

(** The OCaml Standard library.

    This module is automatically opened at the beginning of each
    compilation. All components of this module can therefore be
    referred by their short name, without prefixing them by [Stdlib].

    It particular, it provides the basic operations over the built-in
    types (numbers, booleans, byte sequences, strings, exceptions,
    references, lists, arrays, input-output channels, ...) and the
    {{!modules}standard library modules}.
*)

(** {1 Exceptions} *)

external raise : exn -> 'a = "%raise"
(** Raise the given exception value *)

external raise_notrace : exn -> 'a = "%raise_notrace"
(** A faster version [raise] which does not record the backtrace.
    @since 4.02.0
*)

val invalid_arg : string -> 'a
(** Raise exception [Invalid_argument] with the given string. *)

val failwith : string -> 'a
(** Raise exception [Failure] with the given string. *)

exception Exit
(** The [Exit] exception is not raised by any library function.  It is
    provided for use in your programs. *)

(** {1 Boolean operations} *)

external not : bool -> bool = "%boolnot"
(** The boolean negation. *)

external ( && ) : bool -> bool -> bool = "%sequand"
(** The boolean 'and'. Evaluation is sequential, left-to-right:
   in [e1 && e2], [e1] is evaluated first, and if it returns [false],
   [e2] is not evaluated at all.
   Right-associative operator,  see {!Ocaml_operators} for more information.
*)

external ( || ) : bool -> bool -> bool = "%sequor"
(** The boolean 'or'. Evaluation is sequential, left-to-right:
   in [e1 || e2], [e1] is evaluated first, and if it returns [true],
   [e2] is not evaluated at all.
   Right-associative operator,  see {!Ocaml_operators} for more information.
*)

(** {1 Debugging} *)

external __LOC__ : string = "%loc_LOC"
(** [__LOC__] returns the location at which this expression appears in
    the file currently being parsed by the compiler, with the standard
    error format of OCaml: "File %S, line %d, characters %d-%d".
    @since 4.02.0
*)

external __FILE__ : string = "%loc_FILE"
(** [__FILE__] returns the name of the file currently being
    parsed by the compiler.
    @since 4.02.0
*)

external __LINE__ : int = "%loc_LINE"
(** [__LINE__] returns the line number at which this expression
    appears in the file currently being parsed by the compiler.
    @since 4.02.0
*)

external __MODULE__ : string = "%loc_MODULE"
(** [__MODULE__] returns the module name of the file being
    parsed by the compiler.
    @since 4.02.0
*)

external __POS__ : string * int * int * int = "%loc_POS"
(** [__POS__] returns a tuple [(file,lnum,cnum,enum)], corresponding
    to the location at which this expression appears in the file
    currently being parsed by the compiler. [file] is the current
    filename, [lnum] the line number, [cnum] the character position in
    the line and [enum] the last character position in the line.
    @since 4.02.0
 *)

external __LOC_OF__ : 'a -> string * 'a = "%loc_LOC"
(** [__LOC_OF__ expr] returns a pair [(loc, expr)] where [loc] is the
    location of [expr] in the file currently being parsed by the
    compiler, with the standard error format of OCaml: "File %S, line
    %d, characters %d-%d".
    @since 4.02.0
*)

external __LINE_OF__ : 'a -> int * 'a = "%loc_LINE"
(** [__LINE_OF__ expr] returns a pair [(line, expr)], where [line] is the
    line number at which the expression [expr] appears in the file
    currently being parsed by the compiler.
    @since 4.02.0
 *)

external __POS_OF__ : 'a -> (string * int * int * int) * 'a = "%loc_POS"
(** [__POS_OF__ expr] returns a pair [(loc,expr)], where [loc] is a
    tuple [(file,lnum,cnum,enum)] corresponding to the location at
    which the expression [expr] appears in the file currently being
    parsed by the compiler. [file] is the current filename, [lnum] the
    line number, [cnum] the character position in the line and [enum]
    the last character position in the line.
    @since 4.02.0
 *)

(** {1 Composition operators} *)

external ( |> ) : 'a -> ('a -> 'b) -> 'b = "%revapply"
(** Reverse-application operator: [x |> f |> g] is exactly equivalent
 to [g (f (x))].
 Left-associative operator, see {!Ocaml_operators} for more information.
 @since 4.01
*)

external ( @@ ) : ('a -> 'b) -> 'a -> 'b = "%apply"
(** Application operator: [g @@ f @@ x] is exactly equivalent to
 [g (f (x))].
 Right-associative operator, see {!Ocaml_operators} for more information.
 @since 4.01
*)

(** {1 Integer arithmetic} *)

(** Integers are [Sys.int_size] bits wide.
    All operations are taken modulo 2{^[Sys.int_size]}.
    They do not fail on overflow. *)

external ( ~- ) : int -> int = "%negint"
(** Unary negation. You can also write [- e] instead of [~- e].
    Unary operator, see {!Ocaml_operators} for more information.
*)


external ( ~+ ) : int -> int = "%identity"
(** Unary addition. You can also write [+ e] instead of [~+ e].
    Unary operator, see {!Ocaml_operators} for more information.
    @since 3.12.0
*)

external succ : int -> int = "%succint"
(** [succ x] is [x + 1]. *)

external pred : int -> int = "%predint"
(** [pred x] is [x - 1]. *)

external ( + ) : int -> int -> int = "%addint"
(** Integer addition.
    Left-associative operator, see {!Ocaml_operators} for more information.
*)

external ( - ) : int -> int -> int = "%subint"
(** Integer subtraction.
    Left-associative operator, , see {!Ocaml_operators} for more information.
*)

external ( * ) : int -> int -> int = "%mulint"
(** Integer multiplication.
    Left-associative operator, see {!Ocaml_operators} for more information.
*)

external ( / ) : int -> int -> int = "%divint"
(** Integer division.
   Raise [Division_by_zero] if the second argument is 0.
   Integer division rounds the real quotient of its arguments towards zero.
   More precisely, if [x >= 0] and [y > 0], [x / y] is the greatest integer
   less than or equal to the real quotient of [x] by [y].  Moreover,
   [(- x) / y = x / (- y) = - (x / y)].
   Left-associative operator, see {!Ocaml_operators} for more information.
*)

external ( mod ) : int -> int -> int = "%modint"
(** Integer remainder.  If [y] is not zero, the result
   of [x mod y] satisfies the following properties:
   [x = (x / y) * y + x mod y] and
   [abs(x mod y) <= abs(y) - 1].
   If [y = 0], [x mod y] raises [Division_by_zero].
   Note that [x mod y] is negative only if [x < 0].
   Raise [Division_by_zero] if [y] is zero.
   Left-associative operator, see {!Ocaml_operators} for more information.
*)

val abs : int -> int
(** Return the absolute value of the argument.  Note that this may be
  negative if the argument is [min_int]. *)

val max_int : int
(** The greatest representable integer. *)

val min_int : int
(** The smallest representable integer. *)


(** {2 Bitwise operations} *)

external ( land ) : int -> int -> int = "%andint"
(** Bitwise logical and.
    Left-associative operator, see {!Ocaml_operators} for more information.
*)

external ( lor ) : int -> int -> int = "%orint"
(** Bitwise logical or.
    Left-associative operator, see {!Ocaml_operators} for more information.
*)

external ( lxor ) : int -> int -> int = "%xorint"
(** Bitwise logical exclusive or.
    Left-associative operator, see {!Ocaml_operators} for more information.
*)

val lnot : int -> int
(** Bitwise logical negation. *)

external ( lsl ) : int -> int -> int = "%lslint"
(** [n lsl m] shifts [n] to the left by [m] bits.
    The result is unspecified if [m < 0] or [m > Sys.int_size].
    Right-associative operator, see {!Ocaml_operators} for more information.
*)

external ( lsr ) : int -> int -> int = "%lsrint"
(** [n lsr m] shifts [n] to the right by [m] bits.
    This is a logical shift: zeroes are inserted regardless of
    the sign of [n].
    The result is unspecified if [m < 0] or [m > Sys.int_size].
    Right-associative operator, see {!Ocaml_operators} for more information.
*)

external ( asr ) : int -> int -> int = "%asrint"
(** [n asr m] shifts [n] to the right by [m] bits.
    This is an arithmetic shift: the sign bit of [n] is replicated.
    The result is unspecified if [m < 0] or [m > Sys.int_size].
    Right-associative operator, see {!Ocaml_operators} for more information.
*)

(** {1 String operations}

   More string operations are provided in module {!String}.
*)

val ( ^ ) : string -> string -> string
(** String concatenation.
    Right-associative operator, see {!Ocaml_operators} for more information.
*)

(** {1 Character operations}

   More character operations are provided in module {!Char}.
*)

external int_of_char : char -> int = "%identity"
(** Return the ASCII code of the argument. *)

val char_of_int : int -> char
(** Return the character with the given ASCII code.
   Raise [Invalid_argument "char_of_int"] if the argument is
   outside the range 0--255. *)


(** {1 Unit operations} *)

external ignore : 'a -> unit = "%ignore"
(** Discard the value of its argument and return [()].
   For instance, [ignore(f x)] discards the result of
   the side-effecting function [f].  It is equivalent to
   [f x; ()], except that the latter may generate a
   compiler warning; writing [ignore(f x)] instead
   avoids the warning. *)


(** {1 String conversion functions} *)

val string_of_bool : bool -> string
(** Return the string representation of a boolean. As the returned values
   may be shared, the user should not modify them directly.
*)

val bool_of_string_opt: string -> bool option
(** Convert the given string to a boolean.

   Return [None] if the string is not ["true"] or ["false"].
   @since 4.05
*)

val string_of_int : int -> string
(** Return the string representation of an integer, in decimal. *)

val int_of_string_opt: string -> int option
(** Convert the given string to an integer.
   The string is read in decimal (by default, or if the string
   begins with [0u]), in hexadecimal (if it begins with [0x] or
   [0X]), in octal (if it begins with [0o] or [0O]), or in binary
   (if it begins with [0b] or [0B]).

   The [0u] prefix reads the input as an unsigned integer in the range
   [[0, 2*max_int+1]].  If the input exceeds {!max_int}
   it is converted to the signed integer
   [min_int + input - max_int - 1].

   The [_] (underscore) character can appear anywhere in the string
   and is ignored.

   Return [None] if the given string is not a valid representation of an
   integer, or if the integer represented exceeds the range of integers
   representable in type [int].
   @since 4.05
*)

(** {1 Pair operations} *)

external fst : 'a * 'b -> 'a = "%field0"
(** Return the first component of a pair. *)

external snd : 'a * 'b -> 'b = "%field1"
(** Return the second component of a pair. *)


(** {1 List operations}

   More list operations are provided in module {!List}.
*)

val ( @ ) : 'a list -> 'a list -> 'a list
(** List concatenation.  Not tail-recursive (length of the first argument).
  Right-associative operator, see {!Ocaml_operators} for more information.
*)

(** {1 References} *)

type 'a ref = { mutable contents : 'a }
(** The type of references (mutable indirection cells) containing
   a value of type ['a]. *)

external ref : 'a -> 'a ref = "%makemutable"
(** Return a fresh reference containing the given value. *)

external ( ! ) : 'a ref -> 'a = "%field0"
(** [!r] returns the current contents of reference [r].
   Equivalent to [fun r -> r.contents].
   Unary operator, see {!Ocaml_operators} for more information.
*)

external ( := ) : 'a ref -> 'a -> unit = "%setfield0"
(** [r := a] stores the value of [a] in reference [r].
   Equivalent to [fun r v -> r.contents <- v].
   Right-associative operator, see {!Ocaml_operators} for more information.
*)

external incr : int ref -> unit = "%incr"
(** Increment the integer contained in the given reference.
   Equivalent to [fun r -> r := succ !r]. *)

external decr : int ref -> unit = "%decr"
(** Decrement the integer contained in the given reference.
   Equivalent to [fun r -> r := pred !r]. *)

(** {1 Result type} *)

(** @since 4.03.0 *)
type ('a,'b) result = Ok of 'a | Error of 'b

(** {1 Operations on format strings} *)

(** Format strings are character strings with special lexical conventions
  that defines the functionality of formatted input/output functions. Format
  strings are used to read data with formatted input functions from module
  {!Scanf} and to print data with formatted output functions from modules
  {!Printf} and {!Format}.

  Format strings are made of three kinds of entities:
  - {e conversions specifications}, introduced by the special character ['%']
    followed by one or more characters specifying what kind of argument to
    read or print,
  - {e formatting indications}, introduced by the special character ['@']
    followed by one or more characters specifying how to read or print the
    argument,
  - {e plain characters} that are regular characters with usual lexical
    conventions. Plain characters specify string literals to be read in the
    input or printed in the output.

  There is an additional lexical rule to escape the special characters ['%']
  and ['@'] in format strings: if a special character follows a ['%']
  character, it is treated as a plain character. In other words, ["%%"] is
  considered as a plain ['%'] and ["%@"] as a plain ['@'].

  For more information about conversion specifications and formatting
  indications available, read the documentation of modules {!Scanf},
  {!Printf} and {!Format}.
*)

(** Format strings have a general and highly polymorphic type
    [('a, 'b, 'c, 'd, 'e, 'f) format6].
    The two simplified types, [format] and [format4] below are
    included for backward compatibility with earlier releases of
    OCaml.

    The meaning of format string type parameters is as follows:

    - ['a] is the type of the parameters of the format for formatted output
      functions ([printf]-style functions);
      ['a] is the type of the values read by the format for formatted input
      functions ([scanf]-style functions).

    - ['b] is the type of input source for formatted input functions and the
      type of output target for formatted output functions.
      For [printf]-style functions from module {!Printf}, ['b] is typically
      [out_channel];
      for [printf]-style functions from module {!Format}, ['b] is typically
      {!Format.formatter};
      for [scanf]-style functions from module {!Scanf}, ['b] is typically
      {!Scanf.Scanning.in_channel}.

      Type argument ['b] is also the type of the first argument given to
      user's defined printing functions for [%a] and [%t] conversions,
      and user's defined reading functions for [%r] conversion.

    - ['c] is the type of the result of the [%a] and [%t] printing
      functions, and also the type of the argument transmitted to the
      first argument of [kprintf]-style functions or to the
      [kscanf]-style functions.

    - ['d] is the type of parameters for the [scanf]-style functions.

    - ['e] is the type of the receiver function for the [scanf]-style functions.

    - ['f] is the final result type of a formatted input/output function
      invocation: for the [printf]-style functions, it is typically [unit];
      for the [scanf]-style functions, it is typically the result type of the
      receiver function.
*)

type ('a, 'b, 'c, 'd, 'e, 'f) format6 =
  ('a, 'b, 'c, 'd, 'e, 'f) CamlinternalFormatBasics.format6

type ('a, 'b, 'c, 'd) format4 = ('a, 'b, 'c, 'c, 'c, 'd) format6

type ('a, 'b, 'c) format = ('a, 'b, 'c, 'c) format4

val string_of_format : ('a, 'b, 'c, 'd, 'e, 'f) format6 -> string
(** Converts a format string into a string. *)

external format_of_string :
  ('a, 'b, 'c, 'd, 'e, 'f) format6 ->
  ('a, 'b, 'c, 'd, 'e, 'f) format6 = "%identity"
(** [format_of_string s] returns a format string read from the string
    literal [s].
    Note: [format_of_string] can not convert a string argument that is not a
    literal. If you need this functionality, use the more general
    {!Scanf.format_from_string} function.
*)

val ( ^^ ) :
  ('a, 'b, 'c, 'd, 'e, 'f) format6 ->
  ('f, 'b, 'c, 'e, 'g, 'h) format6 ->
  ('a, 'b, 'c, 'd, 'g, 'h) format6
(** [f1 ^^ f2] catenates format strings [f1] and [f2]. The result is a
  format string that behaves as the concatenation of format strings [f1] and
  [f2]: in case of formatted output, it accepts arguments from [f1], then
  arguments from [f2]; in case of formatted input, it returns results from
  [f1], then results from [f2].
  Right-associative operator, see {!Ocaml_operators} for more information.
*)
end
# 6 "v5.in.ml"


  open Pervasives

  module Either : sig
# 1 "v5/either.mli"
(**************************************************************************)
(*                                                                        *)
(*                                 OCaml                                  *)
(*                                                                        *)
(*         Gabriel Scherer, projet Parsifal, INRIA Saclay                 *)
(*                                                                        *)
(*   Copyright 2019 Institut National de Recherche en Informatique et     *)
(*     en Automatique.                                                    *)
(*                                                                        *)
(*   All rights reserved.  This file is distributed under the terms of    *)
(*   the GNU Lesser General Public License version 2.1, with the          *)
(*   special exception on linking described in the file LICENSE.          *)
(*                                                                        *)
(**************************************************************************)

(** Either type.

    Either is the simplest and most generic sum/variant type:
    a value of [('a, 'b) Either.t] is either a [Left (v : 'a)]
    or a [Right (v : 'b)].

    It is a natural choice in the API of generic functions where values
    could fall in two different cases, possibly at different types,
    without assigning a specific meaning to what each case should be.

    For example:

{[List.partition_map:
    ('a -> ('b, 'c) Either.t) -> 'a list -> 'b list * 'c list]}

    If you are looking for a parametrized type where
    one alternative means success and the other means failure,
    you should use the more specific type {!Result.t}.

    @since 4.12
*)

(* Unlike [result], no [either] type is made available in Stdlib,
   one needs to access [Either.t] explicitly:

   - This type is less common in typical OCaml codebases,
     which prefer domain-specific variant types whose constructors
     carry more meaning.
   - Adding this to Stdlib would raise warnings in existing codebases
     that already use a constructor named Left or Right:
     + when opening a module that exports such a name,
       warning 45 is raised
     + adding a second constructor of the same name in scope kicks
       in the disambiguation mechanisms, and warning 41 may now
       be raised by existing code.

   If the use becomes more common in the future we can always
   revisit this choice.
*)

type ('a, 'b) t = Left of 'a | Right of 'b (**)
(** A value of [('a, 'b) Either.t] contains
    either a value of ['a]  or a value of ['b] *)

(* some values omitted *)

val equal :
  left:('a -> 'a -> bool) -> right:('b -> 'b -> bool) ->
  ('a, 'b) t -> ('a, 'b) t -> bool
(** [equal ~left ~right e0 e1] tests equality of [e0] and [e1] using [left]
    and [right] to respectively compare values wrapped by [Left _] and
    [Right _]. *)

val compare :
  left:('a -> 'a -> int) -> right:('b -> 'b -> int) ->
  ('a, 'b) t -> ('a, 'b) t -> int
(** [compare ~left ~right e0 e1] totally orders [e0] and [e1] using [left] and
    [right] to respectively compare values wrapped by [Left _ ] and [Right _].
    [Left _] values are smaller than [Right _] values. *)
end
# 10 "v5.in.ml"


  module String : sig
# 1 "v5/string.mli"
(**************************************************************************)
(*                                                                        *)
(*                                 OCaml                                  *)
(*                                                                        *)
(*             Xavier Leroy, projet Cristal, INRIA Rocquencourt           *)
(*                                                                        *)
(*   Copyright 1996 Institut National de Recherche en Informatique et     *)
(*     en Automatique.                                                    *)
(*                                                                        *)
(*   All rights reserved.  This file is distributed under the terms of    *)
(*   the GNU Lesser General Public License version 2.1, with the          *)
(*   special exception on linking described in the file LICENSE.          *)
(*                                                                        *)
(**************************************************************************)

(** String operations.

  A string is an immutable data structure that contains a
  fixed-length sequence of (single-byte) characters. Each character
  can be accessed in constant time through its index.

  Given a string [s] of length [l], we can access each of the [l]
  characters of [s] via its index in the sequence. Indexes start at
  [0], and we will call an index valid in [s] if it falls within the
  range [[0...l-1]] (inclusive). A position is the point between two
  characters or at the beginning or end of the string.  We call a
  position valid in [s] if it falls within the range [[0...l]]
  (inclusive). Note that the character at index [n] is between
  positions [n] and [n+1].

  Two parameters [start] and [len] are said to designate a valid
  substring of [s] if [len >= 0] and [start] and [start+len] are
  valid positions in [s].

  Note: OCaml strings used to be modifiable in place, for instance via
  the {!String.set} and {!String.blit} functions described below. This
  usage is only possible when the compiler is put in "unsafe-string"
  mode by giving the [-unsafe-string] command-line option. This
  compatibility mode makes the types [string] and [bytes] (see module
  {!Bytes}) interchangeable so that functions expecting byte sequences
  can also accept strings as arguments and modify them.

  The distinction between [bytes] and [string] was introduced in OCaml
  4.02, and the "unsafe-string" compatibility mode was the default
  until OCaml 4.05. Starting with 4.06, the compatibility mode is
  opt-in; we intend to remove the option in the future.
*)

external length : string -> int = "%string_length"
(** Return the length (number of characters) of the given string. *)

external get : string -> int -> char = "%string_safe_get"
(** [String.get s n] returns the character at index [n] in string [s].
   You can also write [s.[n]] instead of [String.get s n].

   Raise [Invalid_argument] if [n] not a valid index in [s]. *)


val make : int -> char -> string
(** [String.make n c] returns a fresh string of length [n],
   filled with the character [c].

   Raise [Invalid_argument] if [n < 0] or [n > ]{!Sys.max_string_length}. *)

val init : int -> (int -> char) -> string
(** [String.init n f] returns a string of length [n], with character
    [i] initialized to the result of [f i] (called in increasing
    index order).

    Raise [Invalid_argument] if [n < 0] or [n > ]{!Sys.max_string_length}.

    @since 4.02.0
*)

val sub : string -> int -> int -> string
(** [String.sub s start len] returns a fresh string of length [len],
   containing the substring of [s] that starts at position [start] and
   has length [len].

   Raise [Invalid_argument] if [start] and [len] do not
   designate a valid substring of [s]. *)

val blit : string -> int -> bytes -> int -> int -> unit
(** Same as {!Bytes.blit_string}. *)

val concat : string -> string list -> string
(** [String.concat sep sl] concatenates the list of strings [sl],
    inserting the separator string [sep] between each.

    Raise [Invalid_argument] if the result is longer than
    {!Sys.max_string_length} bytes. *)

val iter : (char -> unit) -> string -> unit
(** [String.iter f s] applies function [f] in turn to all
   the characters of [s].  It is equivalent to
   [f s.[0]; f s.[1]; ...; f s.[String.length s - 1]; ()]. *)

val iteri : (int -> char -> unit) -> string -> unit
(** Same as {!String.iter}, but the
   function is applied to the index of the element as first argument
   (counting from 0), and the character itself as second argument.
   @since 4.00.0 *)

val map : (char -> char) -> string -> string
(** [String.map f s] applies function [f] in turn to all the
    characters of [s] (in increasing index order) and stores the
    results in a new string that is returned.
    @since 4.00.0 *)

val mapi : (int -> char -> char) -> string -> string
(** [String.mapi f s] calls [f] with each character of [s] and its
    index (in increasing index order) and stores the results in a new
    string that is returned.
    @since 4.02.0 *)

val trim : string -> string
(** Return a copy of the argument, without leading and trailing
   whitespace.  The characters regarded as whitespace are: [' '],
   ['\012'], ['\n'], ['\r'], and ['\t'].  If there is neither leading nor
   trailing whitespace character in the argument, return the original
   string itself, not a copy.
   @since 4.00.0 *)

val escaped : string -> string
(** Return a copy of the argument, with special characters
    represented by escape sequences, following the lexical
    conventions of OCaml.
    All characters outside the ASCII printable range (32..126) are
    escaped, as well as backslash and double-quote.

    If there is no special character in the argument that needs
    escaping, return the original string itself, not a copy.

    Raise [Invalid_argument] if the result is longer than
    {!Sys.max_string_length} bytes.

    The function {!Scanf.unescaped} is a left inverse of [escaped],
    i.e. [Scanf.unescaped (escaped s) = s] for any string [s] (unless
    [escape s] fails). *)

val index_opt: string -> char -> int option
(** [String.index_opt s c] returns the index of the first
    occurrence of character [c] in string [s], or
    [None] if [c] does not occur in [s].
    @since 4.05 *)

val rindex_opt: string -> char -> int option
(** [String.rindex_opt s c] returns the index of the last occurrence
    of character [c] in string [s], or [None] if [c] does not occur in
    [s].
    @since 4.05 *)

val index_from_opt: string -> int -> char -> int option
(** [String.index_from_opt s i c] returns the index of the
    first occurrence of character [c] in string [s] after position [i]
    or [None] if [c] does not occur in [s] after position [i].

    [String.index_opt s c] is equivalent to [String.index_from_opt s 0 c].
    Raise [Invalid_argument] if [i] is not a valid position in [s].

    @since 4.05
*)

val rindex_from_opt: string -> int -> char -> int option
(** [String.rindex_from_opt s i c] returns the index of the
   last occurrence of character [c] in string [s] before position [i+1]
   or [None] if [c] does not occur in [s] before position [i+1].

   [String.rindex_opt s c] is equivalent to
   [String.rindex_from_opt s (String.length s - 1) c].

   Raise [Invalid_argument] if [i+1] is not a valid position in [s].

    @since 4.05
*)

val contains : string -> char -> bool
(** [String.contains s c] tests if character [c]
   appears in the string [s]. *)

val contains_from : string -> int -> char -> bool
(** [String.contains_from s start c] tests if character [c]
   appears in [s] after position [start].
   [String.contains s c] is equivalent to
   [String.contains_from s 0 c].

   Raise [Invalid_argument] if [start] is not a valid position in [s]. *)

val rcontains_from : string -> int -> char -> bool
(** [String.rcontains_from s stop c] tests if character [c]
   appears in [s] before position [stop+1].

   Raise [Invalid_argument] if [stop < 0] or [stop+1] is not a valid
   position in [s]. *)

val uppercase_ascii : string -> string
(** Return a copy of the argument, with all lowercase letters
   translated to uppercase, using the US-ASCII character set.
   @since 4.03.0 *)

val lowercase_ascii : string -> string
(** Return a copy of the argument, with all uppercase letters
   translated to lowercase, using the US-ASCII character set.
   @since 4.03.0 *)

val capitalize_ascii : string -> string
(** Return a copy of the argument, with the first character set to uppercase,
   using the US-ASCII character set.
   @since 4.03.0 *)

val uncapitalize_ascii : string -> string
(** Return a copy of the argument, with the first character set to lowercase,
   using the US-ASCII character set.
   @since 4.03.0 *)

type t = string
(** An alias for the type of strings. *)

val compare: t -> t -> int
(** The comparison function for strings, with the same specification as
    {!Stdlib.compare}.  Along with the type [t], this function [compare]
    allows the module [String] to be passed as argument to the functors
    {!Set.Make} and {!Map.Make}. *)

val equal: t -> t -> bool
(** The equal function for strings.
    @since 4.03.0 *)

val split_on_char: char -> string -> string list
(** [String.split_on_char sep s] returns the list of all (possibly empty)
    substrings of [s] that are delimited by the [sep] character.

    The function's output is specified by the following invariants:

    - The list is not empty.
    - Concatenating its elements using [sep] as a separator returns a
      string equal to the input ([String.concat (String.make 1 sep)
      (String.split_on_char sep s) = s]).
    - No string in the result contains the [sep] character.

    @since 4.04.0
*)
end
# 12 "v5.in.ml"


  module Char : sig
# 1 "v5/char.mli"
(**************************************************************************)
(*                                                                        *)
(*                                 OCaml                                  *)
(*                                                                        *)
(*             Xavier Leroy, projet Cristal, INRIA Rocquencourt           *)
(*                                                                        *)
(*   Copyright 1996 Institut National de Recherche en Informatique et     *)
(*     en Automatique.                                                    *)
(*                                                                        *)
(*   All rights reserved.  This file is distributed under the terms of    *)
(*   the GNU Lesser General Public License version 2.1, with the          *)
(*   special exception on linking described in the file LICENSE.          *)
(*                                                                        *)
(**************************************************************************)

(** Character operations. *)

external code : char -> int = "%identity"
(** Return the ASCII code of the argument. *)

val chr : int -> char
(** Return the character with the given ASCII code.
   @raise Invalid_argument if the argument is
   outside the range 0--255. *)

val escaped : char -> string
(** Return a string representing the given character,
    with special characters escaped following the lexical conventions
    of OCaml.
    All characters outside the ASCII printable range (32..126) are
    escaped, as well as backslash, double-quote, and single-quote. *)

val lowercase_ascii : char -> char
(** Convert the given character to its equivalent lowercase character,
   using the US-ASCII character set.
   @since 4.03.0 *)

val uppercase_ascii : char -> char
(** Convert the given character to its equivalent uppercase character,
   using the US-ASCII character set.
   @since 4.03.0 *)

type t = char
(** An alias for the type of characters. *)

val compare: t -> t -> int
(** The comparison function for characters, with the same specification as
    {!Stdlib.compare}.  Along with the type [t], this function [compare]
    allows the module [Char] to be passed as argument to the functors
    {!Set.Make} and {!Map.Make}. *)

val equal: t -> t -> bool
(** The equal function for chars.
    @since 4.03.0 *)
end
# 14 "v5.in.ml"


  module Bytes : sig
# 1 "v5/bytes.mli"
(**************************************************************************)
(*                                                                        *)
(*                                 OCaml                                  *)
(*                                                                        *)
(*             Xavier Leroy, projet Cristal, INRIA Rocquencourt           *)
(*                                                                        *)
(*   Copyright 1996 Institut National de Recherche en Informatique et     *)
(*     en Automatique.                                                    *)
(*                                                                        *)
(*   All rights reserved.  This file is distributed under the terms of    *)
(*   the GNU Lesser General Public License version 2.1, with the          *)
(*   special exception on linking described in the file LICENSE.          *)
(*                                                                        *)
(**************************************************************************)

(** Byte sequence operations.

   A byte sequence is a mutable data structure that contains a
   fixed-length sequence of bytes. Each byte can be indexed in
   constant time for reading or writing.

   Given a byte sequence [s] of length [l], we can access each of the
   [l] bytes of [s] via its index in the sequence. Indexes start at
   [0], and we will call an index valid in [s] if it falls within the
   range [[0...l-1]] (inclusive). A position is the point between two
   bytes or at the beginning or end of the sequence.  We call a
   position valid in [s] if it falls within the range [[0...l]]
   (inclusive). Note that the byte at index [n] is between positions
   [n] and [n+1].

   Two parameters [start] and [len] are said to designate a valid
   range of [s] if [len >= 0] and [start] and [start+len] are valid
   positions in [s].

   Byte sequences can be modified in place, for instance via the [set]
   and [blit] functions described below.  See also strings (module
   {!String}), which are almost the same data structure, but cannot be
   modified in place.

   Bytes are represented by the OCaml type [char].

   The labeled version of this module can be used as described in the
   {!StdLabels} module.

   @since 4.02.0

   *)

external length : bytes -> int = "%bytes_length"
(** Return the length (number of bytes) of the argument. *)

external get : bytes -> int -> char = "%bytes_safe_get"
(** [get s n] returns the byte at index [n] in argument [s].
    @raise Invalid_argument if [n] is not a valid index in [s]. *)


external set : bytes -> int -> char -> unit = "%bytes_safe_set"
(** [set s n c] modifies [s] in place, replacing the byte at index [n]
    with [c].
    @raise Invalid_argument if [n] is not a valid index in [s]. *)

val make : int -> char -> bytes
(** [make n c] returns a new byte sequence of length [n], filled with
    the byte [c].
    @raise Invalid_argument if [n < 0] or [n > ]{!Sys.max_string_length}. *)

val init : int -> (int -> char) -> bytes
(** [init n f] returns a fresh byte sequence of length [n],
    with character [i] initialized to the result of [f i] (in increasing
    index order).
    @raise Invalid_argument if [n < 0] or [n > ]{!Sys.max_string_length}. *)

val empty : bytes
(** A byte sequence of size 0. *)

val copy : bytes -> bytes
(** Return a new byte sequence that contains the same bytes as the
    argument. *)

val of_string : string -> bytes
(** Return a new byte sequence that contains the same bytes as the
    given string. *)

val to_string : bytes -> string
(** Return a new string that contains the same bytes as the given byte
    sequence. *)

val sub : bytes -> int -> int -> bytes
(** [sub s pos len] returns a new byte sequence of length [len],
    containing the subsequence of [s] that starts at position [pos]
    and has length [len].
    @raise Invalid_argument if [pos] and [len] do not designate a
    valid range of [s]. *)

val sub_string : bytes -> int -> int -> string
(** Same as {!sub} but return a string instead of a byte sequence. *)

val extend : bytes -> int -> int -> bytes
(** [extend s left right] returns a new byte sequence that contains
    the bytes of [s], with [left] uninitialized bytes prepended and
    [right] uninitialized bytes appended to it. If [left] or [right]
    is negative, then bytes are removed (instead of appended) from
    the corresponding side of [s].
    @raise Invalid_argument if the result length is negative or
    longer than {!Sys.max_string_length} bytes.
    @since 4.05.0 in BytesLabels *)

val fill : bytes -> int -> int -> char -> unit
(** [fill s pos len c] modifies [s] in place, replacing [len]
    characters with [c], starting at [pos].
    @raise Invalid_argument if [pos] and [len] do not designate a
    valid range of [s]. *)

val blit :
  bytes -> int -> bytes -> int -> int
  -> unit
(** [blit src src_pos dst dst_pos len] copies [len] bytes from sequence
    [src], starting at index [src_pos], to sequence [dst], starting at
    index [dst_pos]. It works correctly even if [src] and [dst] are the
    same byte sequence, and the source and destination intervals
    overlap.
    @raise Invalid_argument if [src_pos] and [len] do not
    designate a valid range of [src], or if [dst_pos] and [len]
    do not designate a valid range of [dst]. *)

val blit_string :
  string -> int -> bytes -> int -> int
  -> unit
(** [blit src src_pos dst dst_pos len] copies [len] bytes from string
    [src], starting at index [src_pos], to byte sequence [dst],
    starting at index [dst_pos].
    @raise Invalid_argument if [src_pos] and [len] do not
    designate a valid range of [src], or if [dst_pos] and [len]
    do not designate a valid range of [dst].
    @since 4.05.0 in BytesLabels *)

val concat : bytes -> bytes list -> bytes
(** [concat sep sl] concatenates the list of byte sequences [sl],
    inserting the separator byte sequence [sep] between each, and
    returns the result as a new byte sequence.
    @raise Invalid_argument if the result is longer than
    {!Sys.max_string_length} bytes.
    *)

val cat : bytes -> bytes -> bytes
(** [cat s1 s2] concatenates [s1] and [s2] and returns the result
    as a new byte sequence.
    @raise Invalid_argument if the result is longer than
    {!Sys.max_string_length} bytes.
    @since 4.05.0 in BytesLabels *)

val iter : (char -> unit) -> bytes -> unit
(** [iter f s] applies function [f] in turn to all the bytes of [s].
    It is equivalent to [f (get s 0); f (get s 1); ...; f (get s
    (length s - 1)); ()]. *)

val iteri : (int -> char -> unit) -> bytes -> unit
(** Same as {!iter}, but the function is applied to the index of
    the byte as first argument and the byte itself as second
    argument. *)

val map : (char -> char) -> bytes -> bytes
(** [map f s] applies function [f] in turn to all the bytes of [s] (in
    increasing index order) and stores the resulting bytes in a new sequence
    that is returned as the result. *)

val mapi : (int -> char -> char) -> bytes -> bytes
(** [mapi f s] calls [f] with each character of [s] and its
    index (in increasing index order) and stores the resulting bytes
    in a new sequence that is returned as the result. *)

val trim : bytes -> bytes
(** Return a copy of the argument, without leading and trailing
    whitespace. The bytes regarded as whitespace are the ASCII
    characters [' '], ['\012'], ['\n'], ['\r'], and ['\t']. *)

val escaped : bytes -> bytes
(** Return a copy of the argument, with special characters represented
    by escape sequences, following the lexical conventions of OCaml.
    All characters outside the ASCII printable range (32..126) are
    escaped, as well as backslash and double-quote.
    @raise Invalid_argument if the result is longer than
    {!Sys.max_string_length} bytes. *)

val index_opt: bytes -> char -> int option
(** [index_opt s c] returns the index of the first occurrence of byte [c]
    in [s] or [None] if [c] does not occur in [s].
    @since 4.05 *)

val rindex_opt: bytes -> char -> int option
(** [rindex_opt s c] returns the index of the last occurrence of byte [c]
    in [s] or [None] if [c] does not occur in [s].
    @since 4.05 *)

val index_from_opt: bytes -> int -> char -> int option
(** [index_from_opt s i c] returns the index of the first occurrence of
    byte [c] in [s] after position [i] or [None] if [c] does not occur in [s]
    after position [i].
    [index_opt s c] is equivalent to [index_from_opt s 0 c].
    @raise Invalid_argument if [i] is not a valid position in [s].
    @since 4.05 *)


val rindex_from_opt: bytes -> int -> char -> int option
(** [rindex_from_opt s i c] returns the index of the last occurrence
    of byte [c] in [s] before position [i+1] or [None] if [c] does not
    occur in [s] before position [i+1].  [rindex_opt s c] is equivalent to
    [rindex_from s (length s - 1) c].
    @raise Invalid_argument if [i+1] is not a valid position in [s].
    @since 4.05 *)

val contains : bytes -> char -> bool
(** [contains s c] tests if byte [c] appears in [s]. *)

val contains_from : bytes -> int -> char -> bool
(** [contains_from s start c] tests if byte [c] appears in [s] after
    position [start].  [contains s c] is equivalent to [contains_from
    s 0 c].
    @raise Invalid_argument if [start] is not a valid position in [s]. *)

val rcontains_from : bytes -> int -> char -> bool
(** [rcontains_from s stop c] tests if byte [c] appears in [s] before
    position [stop+1].
    @raise Invalid_argument if [stop < 0] or [stop+1] is not a valid
    position in [s]. *)

val uppercase_ascii : bytes -> bytes
(** Return a copy of the argument, with all lowercase letters
   translated to uppercase, using the US-ASCII character set.
   @since 4.03.0 (4.05.0 in BytesLabels) *)

val lowercase_ascii : bytes -> bytes
(** Return a copy of the argument, with all uppercase letters
   translated to lowercase, using the US-ASCII character set.
   @since 4.03.0 (4.05.0 in BytesLabels) *)

val capitalize_ascii : bytes -> bytes
(** Return a copy of the argument, with the first character set to uppercase,
   using the US-ASCII character set.
   @since 4.03.0 (4.05.0 in BytesLabels) *)

val uncapitalize_ascii : bytes -> bytes
(** Return a copy of the argument, with the first character set to lowercase,
   using the US-ASCII character set.
   @since 4.03.0 (4.05.0 in BytesLabels) *)

type t = bytes
(** An alias for the type of byte sequences. *)

val compare: t -> t -> int
(** The comparison function for byte sequences, with the same
    specification as {!Stdlib.compare}.  Along with the type [t],
    this function [compare] allows the module [Bytes] to be passed as
    argument to the functors {!Set.Make} and {!Map.Make}. *)

val equal: t -> t -> bool
(** The equality function for byte sequences.
    @since 4.03.0 (4.05.0 in BytesLabels) *)
end
# 16 "v5.in.ml"


  module Int32 : sig
# 1 "v5/int32.mli"
(**************************************************************************)
(*                                                                        *)
(*                                 OCaml                                  *)
(*                                                                        *)
(*             Xavier Leroy, projet Cristal, INRIA Rocquencourt           *)
(*                                                                        *)
(*   Copyright 1996 Institut National de Recherche en Informatique et     *)
(*     en Automatique.                                                    *)
(*                                                                        *)
(*   All rights reserved.  This file is distributed under the terms of    *)
(*   the GNU Lesser General Public License version 2.1, with the          *)
(*   special exception on linking described in the file LICENSE.          *)
(*                                                                        *)
(**************************************************************************)

(** 32-bit integers.

   This module provides operations on the type [int32]
   of signed 32-bit integers.  Unlike the built-in [int] type,
   the type [int32] is guaranteed to be exactly 32-bit wide on all
   platforms.  All arithmetic operations over [int32] are taken
   modulo 2{^32}.

   Performance notice: values of type [int32] occupy more memory
   space than values of type [int], and arithmetic operations on
   [int32] are generally slower than those on [int].  Use [int32]
   only when the application requires exact 32-bit arithmetic.

    Literals for 32-bit integers are suffixed by l:
    {[
      let zero: int32 = 0l
      let one: int32 = 1l
      let m_one: int32 = -1l
    ]}
*)

val zero : int32
(** The 32-bit integer 0. *)

val one : int32
(** The 32-bit integer 1. *)

val minus_one : int32
(** The 32-bit integer -1. *)

external neg : int32 -> int32 = "%int32_neg"
(** Unary negation. *)

external add : int32 -> int32 -> int32 = "%int32_add"
(** Addition. *)

external sub : int32 -> int32 -> int32 = "%int32_sub"
(** Subtraction. *)

external mul : int32 -> int32 -> int32 = "%int32_mul"
(** Multiplication. *)

external div : int32 -> int32 -> int32 = "%int32_div"
(** Integer division. This division rounds the real quotient of
   its arguments towards zero, as specified for {!Stdlib.(/)}.
   @raise Division_by_zero if the second
   argument is zero.  *)

external rem : int32 -> int32 -> int32 = "%int32_mod"
(** Integer remainder.  If [y] is not zero, the result
   of [Int32.rem x y] satisfies the following property:
   [x = Int32.add (Int32.mul (Int32.div x y) y) (Int32.rem x y)].
   If [y = 0], [Int32.rem x y] raises [Division_by_zero]. *)

val succ : int32 -> int32
(** Successor.  [Int32.succ x] is [Int32.add x Int32.one]. *)

val pred : int32 -> int32
(** Predecessor.  [Int32.pred x] is [Int32.sub x Int32.one]. *)

val abs : int32 -> int32
(** Return the absolute value of its argument. *)

val max_int : int32
(** The greatest representable 32-bit integer, 2{^31} - 1. *)

val min_int : int32
(** The smallest representable 32-bit integer, -2{^31}. *)


external logand : int32 -> int32 -> int32 = "%int32_and"
(** Bitwise logical and. *)

external logor : int32 -> int32 -> int32 = "%int32_or"
(** Bitwise logical or. *)

external logxor : int32 -> int32 -> int32 = "%int32_xor"
(** Bitwise logical exclusive or. *)

val lognot : int32 -> int32
(** Bitwise logical negation. *)

external shift_left : int32 -> int -> int32 = "%int32_lsl"
(** [Int32.shift_left x y] shifts [x] to the left by [y] bits.
   The result is unspecified if [y < 0] or [y >= 32]. *)

external shift_right : int32 -> int -> int32 = "%int32_asr"
(** [Int32.shift_right x y] shifts [x] to the right by [y] bits.
   This is an arithmetic shift: the sign bit of [x] is replicated
   and inserted in the vacated bits.
   The result is unspecified if [y < 0] or [y >= 32]. *)

external shift_right_logical : int32 -> int -> int32 = "%int32_lsr"
(** [Int32.shift_right_logical x y] shifts [x] to the right by [y] bits.
   This is a logical shift: zeroes are inserted in the vacated bits
   regardless of the sign of [x].
   The result is unspecified if [y < 0] or [y >= 32]. *)

external of_int : int -> int32 = "%int32_of_int"
(** Convert the given integer (type [int]) to a 32-bit integer
    (type [int32]). On 64-bit platforms, the argument is taken
    modulo 2{^32}. *)

external to_int : int32 -> int = "%int32_to_int"
(** Convert the given 32-bit integer (type [int32]) to an
   integer (type [int]).  On 32-bit platforms, the 32-bit integer
   is taken modulo 2{^31}, i.e. the high-order bit is lost
   during the conversion.  On 64-bit platforms, the conversion
   is exact. *)

val of_string_opt: string -> int32 option
(** Same as [of_string], but return [None] instead of raising.
    @since 4.05 *)


val to_string : int32 -> string
(** Return the string representation of its argument, in signed decimal. *)

type t = int32
(** An alias for the type of 32-bit integers. *)

val compare: t -> t -> int
(** The comparison function for 32-bit integers, with the same specification as
    {!Stdlib.compare}.  Along with the type [t], this function [compare]
    allows the module [Int32] to be passed as argument to the functors
    {!Set.Make} and {!Map.Make}. *)

val equal: t -> t -> bool
(** The equal function for int32s.
    @since 4.03.0 *)
end
# 18 "v5.in.ml"


  module Int64 : sig
# 1 "v5/int64.mli"
(**************************************************************************)
(*                                                                        *)
(*                                 OCaml                                  *)
(*                                                                        *)
(*             Xavier Leroy, projet Cristal, INRIA Rocquencourt           *)
(*                                                                        *)
(*   Copyright 1996 Institut National de Recherche en Informatique et     *)
(*     en Automatique.                                                    *)
(*                                                                        *)
(*   All rights reserved.  This file is distributed under the terms of    *)
(*   the GNU Lesser General Public License version 2.1, with the          *)
(*   special exception on linking described in the file LICENSE.          *)
(*                                                                        *)
(**************************************************************************)

(** 64-bit integers.

   This module provides operations on the type [int64] of
   signed 64-bit integers.  Unlike the built-in [int] type,
   the type [int64] is guaranteed to be exactly 64-bit wide on all
   platforms.  All arithmetic operations over [int64] are taken
   modulo 2{^64}

   Performance notice: values of type [int64] occupy more memory
   space than values of type [int], and arithmetic operations on
   [int64] are generally slower than those on [int].  Use [int64]
   only when the application requires exact 64-bit arithmetic.

    Literals for 64-bit integers are suffixed by L:
    {[
      let zero: int64 = 0L
      let one: int64 = 1L
      let m_one: int64 = -1L
    ]}
*)

val zero : int64
(** The 64-bit integer 0. *)

val one : int64
(** The 64-bit integer 1. *)

val minus_one : int64
(** The 64-bit integer -1. *)

external neg : int64 -> int64 = "%int64_neg"
(** Unary negation. *)

external add : int64 -> int64 -> int64 = "%int64_add"
(** Addition. *)

external sub : int64 -> int64 -> int64 = "%int64_sub"
(** Subtraction. *)

external mul : int64 -> int64 -> int64 = "%int64_mul"
(** Multiplication. *)

external div : int64 -> int64 -> int64 = "%int64_div"
(** Integer division.
   @raise Division_by_zero if the second
   argument is zero.  This division rounds the real quotient of
   its arguments towards zero, as specified for {!Stdlib.(/)}. *)

external rem : int64 -> int64 -> int64 = "%int64_mod"
(** Integer remainder.  If [y] is not zero, the result
   of [Int64.rem x y] satisfies the following property:
   [x = Int64.add (Int64.mul (Int64.div x y) y) (Int64.rem x y)].
   If [y = 0], [Int64.rem x y] raises [Division_by_zero]. *)

val succ : int64 -> int64
(** Successor.  [Int64.succ x] is [Int64.add x Int64.one]. *)

val pred : int64 -> int64
(** Predecessor.  [Int64.pred x] is [Int64.sub x Int64.one]. *)

val abs : int64 -> int64
(** Return the absolute value of its argument. *)

val max_int : int64
(** The greatest representable 64-bit integer, 2{^63} - 1. *)

val min_int : int64
(** The smallest representable 64-bit integer, -2{^63}. *)

external logand : int64 -> int64 -> int64 = "%int64_and"
(** Bitwise logical and. *)

external logor : int64 -> int64 -> int64 = "%int64_or"
(** Bitwise logical or. *)

external logxor : int64 -> int64 -> int64 = "%int64_xor"
(** Bitwise logical exclusive or. *)

val lognot : int64 -> int64
(** Bitwise logical negation. *)

external shift_left : int64 -> int -> int64 = "%int64_lsl"
(** [Int64.shift_left x y] shifts [x] to the left by [y] bits.
   The result is unspecified if [y < 0] or [y >= 64]. *)

external shift_right : int64 -> int -> int64 = "%int64_asr"
(** [Int64.shift_right x y] shifts [x] to the right by [y] bits.
   This is an arithmetic shift: the sign bit of [x] is replicated
   and inserted in the vacated bits.
   The result is unspecified if [y < 0] or [y >= 64]. *)

external shift_right_logical : int64 -> int -> int64 = "%int64_lsr"
(** [Int64.shift_right_logical x y] shifts [x] to the right by [y] bits.
   This is a logical shift: zeroes are inserted in the vacated bits
   regardless of the sign of [x].
   The result is unspecified if [y < 0] or [y >= 64]. *)

external of_int : int -> int64 = "%int64_of_int"
(** Convert the given integer (type [int]) to a 64-bit integer
    (type [int64]). *)

external to_int : int64 -> int = "%int64_to_int"
(** Convert the given 64-bit integer (type [int64]) to an
   integer (type [int]).  On 64-bit platforms, the 64-bit integer
   is taken modulo 2{^63}, i.e. the high-order bit is lost
   during the conversion.  On 32-bit platforms, the 64-bit integer
   is taken modulo 2{^31}, i.e. the top 33 bits are lost
   during the conversion. *)

external of_int32 : int32 -> int64 = "%int64_of_int32"
(** Convert the given 32-bit integer (type [int32])
   to a 64-bit integer (type [int64]). *)

external to_int32 : int64 -> int32 = "%int64_to_int32"
(** Convert the given 64-bit integer (type [int64]) to a
   32-bit integer (type [int32]). The 64-bit integer
   is taken modulo 2{^32}, i.e. the top 32 bits are lost
   during the conversion.  *)

val of_string_opt: string -> int64 option
(** Same as [of_string], but return [None] instead of raising.
    @since 4.05 *)

val to_string : int64 -> string
(** Return the string representation of its argument, in decimal. *)

type t = int64
(** An alias for the type of 64-bit integers. *)

val compare: t -> t -> int
(** The comparison function for 64-bit integers, with the same specification as
    {!Stdlib.compare}.  Along with the type [t], this function [compare]
    allows the module [Int64] to be passed as argument to the functors
    {!Set.Make} and {!Map.Make}. *)

val equal: t -> t -> bool
(** The equal function for int64s.
    @since 4.03.0 *)
end
# 20 "v5.in.ml"


  module Format : sig
# 1 "v5/format.mli"
(**************************************************************************)
(*                                                                        *)
(*                                 OCaml                                  *)
(*                                                                        *)
(*             Pierre Weis, projet Cristal, INRIA Rocquencourt            *)
(*                                                                        *)
(*   Copyright 1996 Institut National de Recherche en Informatique et     *)
(*     en Automatique.                                                    *)
(*                                                                        *)
(*   All rights reserved.  This file is distributed under the terms of    *)
(*   the GNU Lesser General Public License version 2.1, with the          *)
(*   special exception on linking described in the file LICENSE.          *)
(*                                                                        *)
(**************************************************************************)

(** Pretty-printing.

   This module implements a pretty-printing facility to format values
   within {{!boxes}'pretty-printing boxes'} and {{!tags}'semantic tags'}
   combined with a set of {{!fpp}printf-like functions}.
   The pretty-printer splits lines at specified {{!breaks}break hints},
   and indents lines according to the box structure.
   Similarly, {{!tags}semantic tags} can be used to decouple text
   presentation from its contents.

   This pretty-printing facility is implemented as an overlay on top of
   abstract {{!section:formatter}formatters} which provide basic output
   functions.
   Some formatters are predefined, notably:
   - {!std_formatter} outputs to {{!Stdlib.stdout}stdout}
   - {!err_formatter} outputs to {{!Stdlib.stderr}stderr}

   Most functions in the {!Format} module come in two variants:
   a short version that operates on {!std_formatter} and the
   generic version prefixed by [pp_] that takes a formatter
   as its first argument.

   More formatters can be created with {!formatter_of_out_channel},
   {!formatter_of_buffer}, {!formatter_of_symbolic_output_buffer}
   or using {{!section:formatter}custom formatters}.

*)

(** {1 Introduction}
   For a gentle introduction to the basics of pretty-printing using
   [Format], read
   {{:http://caml.inria.fr/resources/doc/guides/format.en.html}
    http://caml.inria.fr/resources/doc/guides/format.en.html}.

   You may consider this module as providing an extension to the
   [printf] facility to provide automatic line splitting. The addition of
   pretty-printing annotations to your regular [printf] format strings gives
   you fancy indentation and line breaks.
   Pretty-printing annotations are described below in the documentation of
   the function {!Format.fprintf}.

   You may also use the explicit pretty-printing box management and printing
   functions provided by this module. This style is more basic but more
   verbose than the concise [fprintf] format strings.

   For instance, the sequence
   [open_box 0; print_string "x ="; print_space ();
    print_int 1; close_box (); print_newline ()]
   that prints [x = 1] within a pretty-printing box, can be
   abbreviated as [printf "@[%s@ %i@]@." "x =" 1], or even shorter
   [printf "@[x =@ %i@]@." 1].

   Rule of thumb for casual users of this library:
 - use simple pretty-printing boxes (as obtained by [open_box 0]);
 - use simple break hints as obtained by [print_cut ()] that outputs a
   simple break hint, or by [print_space ()] that outputs a space
   indicating a break hint;
 - once a pretty-printing box is open, display its material with basic
   printing functions (e. g. [print_int] and [print_string]);
 - when the material for a pretty-printing box has been printed, call
   [close_box ()] to close the box;
 - at the end of pretty-printing, flush the pretty-printer to display all
   the remaining material, e.g. evaluate [print_newline ()].

   The behavior of pretty-printing commands is unspecified
   if there is no open pretty-printing box. Each box opened by
   one of the [open_] functions below must be closed using [close_box]
   for proper formatting. Otherwise, some of the material printed in the
   boxes may not be output, or may be formatted incorrectly.

   In case of interactive use, each phrase is executed in the initial state
   of the standard pretty-printer: after each phrase execution, the
   interactive system closes all open pretty-printing boxes, flushes all
   pending text, and resets the standard pretty-printer.

   Warning: mixing calls to pretty-printing functions of this module with
   calls to {!Stdlib} low level output functions is error prone.

   The pretty-printing functions output material that is delayed in the
   pretty-printer queue and stacks in order to compute proper line
   splitting. In contrast, basic I/O output functions write directly in
   their output device. As a consequence, the output of a basic I/O function
   may appear before the output of a pretty-printing function that has been
   called before. For instance,
   [
    Stdlib.print_string "<";
    Format.print_string "PRETTY";
    Stdlib.print_string ">";
    Format.print_string "TEXT";
   ]
   leads to output [<>PRETTYTEXT].

*)

type formatter
(** Abstract data corresponding to a pretty-printer (also called a
    formatter) and all its machinery. See also {!section:formatter}. *)

(** {1:boxes Pretty-printing boxes} *)

(** The pretty-printing engine uses the concepts of pretty-printing box and
  break hint to drive indentation and line splitting behavior of the
  pretty-printer.

  Each different pretty-printing box kind introduces a specific line splitting
  policy:

  - within an {e horizontal} box, break hints never split the line (but the
    line may be split in a box nested deeper),
  - within a {e vertical} box, break hints always split the line,
  - within an {e horizontal/vertical} box, if the box fits on the current line
    then break hints never split the line, otherwise break hint always split
    the line,
  - within a {e compacting} box, a break hint never splits the line,
    unless there is no more room on the current line.

  Note that line splitting policy is box specific: the policy of a box does
  not rule the policy of inner boxes. For instance, if a vertical box is
  nested in an horizontal box, all break hints within the vertical box will
  split the line.

  Moreover, opening a box after the {{!maxindent}maximum indentation limit}
  splits the line whether or not the box would end up fitting on the line.

*)

val pp_open_box : formatter -> int -> unit
(** [pp_open_box ppf d] opens a new compacting pretty-printing box with
    offset [d] in the formatter [ppf].

   Within this box, the pretty-printer prints as much as possible material on
   every line.

   A break hint splits the line if there is no more room on the line to
   print the remainder of the box.

   Within this box, the pretty-printer emphasizes the box structure:
   if a structural box does not fit fully on a simple line, a break
   hint also splits the line if the splitting ``moves to the left''
   (i.e. the new line gets an indentation smaller than the one of the current
   line).

   This box is the general purpose pretty-printing box.

   If the pretty-printer splits the line in the box, offset [d] is added to
   the current indentation.
*)


val pp_close_box : formatter -> unit -> unit
(** Closes the most recently open pretty-printing box. *)

val pp_open_hbox : formatter -> unit -> unit
(** [pp_open_hbox ppf ()] opens a new 'horizontal' pretty-printing box.

  This box prints material on a single line.

  Break hints in a horizontal box never split the line.
  (Line splitting may still occur inside boxes nested deeper).
*)

val pp_open_vbox : formatter -> int -> unit
(** [pp_open_vbox ppf d] opens a new 'vertical' pretty-printing box
  with offset [d].

  This box prints material on as many lines as break hints in the box.

  Every break hint in a vertical box splits the line.

  If the pretty-printer splits the line in the box, [d] is added to the
  current indentation.
*)

val pp_open_hvbox : formatter -> int -> unit
(** [pp_open_hvbox ppf d] opens a new 'horizontal/vertical' pretty-printing box
  with offset [d].

  This box behaves as an horizontal box if it fits on a single line,
  otherwise it behaves as a vertical box.

  If the pretty-printer splits the line in the box, [d] is added to the
  current indentation.
*)

val pp_open_hovbox : formatter -> int -> unit
(** [pp_open_hovbox ppf d] opens a new 'horizontal-or-vertical'
  pretty-printing box with offset [d].

  This box prints material as much as possible on every line.

  A break hint splits the line if there is no more room on the line to
  print the remainder of the box.

  If the pretty-printer splits the line in the box, [d] is added to the
  current indentation.
*)

(** {1 Formatting functions} *)

val pp_print_string : formatter -> string -> unit
(** [pp_print_string ppf s] prints [s] in the current pretty-printing box. *)

val pp_print_as : formatter -> int -> string -> unit
(** [pp_print_as ppf len s] prints [s] in the current pretty-printing box.
  The pretty-printer formats [s] as if it were of length [len].
*)

val pp_print_int : formatter -> int -> unit
(** Print an integer in the current pretty-printing box. *)

val pp_print_char : formatter -> char -> unit
(** Print a character in the current pretty-printing box. *)

val pp_print_bool : formatter -> bool -> unit
(** Print a boolean in the current pretty-printing box. *)

(** {1:breaks Break hints} *)

(** A 'break hint' tells the pretty-printer to output some space or split the
  line whichever way is more appropriate to the current pretty-printing box
  splitting rules.

  Break hints are used to separate printing items and are mandatory to let
  the pretty-printer correctly split lines and indent items.

  Simple break hints are:
  - the 'space': output a space or split the line if appropriate,
  - the 'cut': split the line if appropriate.

  Note: the notions of space and line splitting are abstract for the
  pretty-printing engine, since those notions can be completely redefined
  by the programmer.
  However, in the pretty-printer default setting, ``output a space'' simply
  means printing a space character (ASCII code 32) and ``split the line''
  means printing a newline character (ASCII code 10).
*)

val pp_print_space : formatter -> unit -> unit
(** [pp_print_space ppf ()] emits a 'space' break hint:
  the pretty-printer may split the line at this point,
  otherwise it prints one space.

  [pp_print_space ppf ()] is equivalent to [pp_print_break ppf 1 0].
*)

val pp_print_cut : formatter -> unit -> unit
(** [pp_print_cut ppf ()] emits a 'cut' break hint:
  the pretty-printer may split the line at this point,
  otherwise it prints nothing.

  [pp_print_cut ppf ()] is equivalent to [pp_print_break ppf 0 0].
*)

val pp_print_break : formatter -> int -> int -> unit
(** [pp_print_break ppf nspaces offset] emits a 'full' break hint:
  the pretty-printer may split the line at this point,
  otherwise it prints [nspaces] spaces.

  If the pretty-printer splits the line, [offset] is added to
  the current indentation.
*)

val pp_print_custom_break :
  formatter ->
  fits:(string * int * string) ->
  breaks:(string * int * string) ->
  unit
(** [pp_print_custom_break ppf ~fits:(s1, n, s2) ~breaks:(s3, m, s4)] emits a
   custom break hint: the pretty-printer may split the line at this point.

   If it does not split the line, then the [s1] is emitted, then [n] spaces,
   then [s2].

   If it splits the line, then it emits the [s3] string, then an indent
   (according to the box rules), then an offset of [m] spaces, then the [s4]
   string.

   While [n] and [m] are handled by [formatter_out_functions.out_indent], the
   strings will be handled by [formatter_out_functions.out_string]. This allows
   for a custom formatter that handles indentation distinctly, for example,
   outputs [<br/>] tags or [&nbsp;] entities.

   The custom break is useful if you want to change which visible
   (non-whitespace) characters are printed in case of break or no break. For
   example, when printing a list [ [a; b; c] ], you might want to add a
   trailing semicolon when it is printed vertically:

   {[
[
  a;
  b;
  c;
]
   ]}

   You can do this as follows:
   {[
printf "@[<v 0>[@;<0 2>@[<v 0>a;@,b;@,c@]%t]@]@\n"
  (pp_print_custom_break ~fits:("", 0, "") ~breaks:(";", 0, ""))
   ]}

  @since 4.08.0
*)

val pp_force_newline : formatter -> unit -> unit
(** Force a new line in the current pretty-printing box.

  The pretty-printer must split the line at this point,

  Not the normal way of pretty-printing, since imperative line splitting may
  interfere with current line counters and box size calculation.
  Using break hints within an enclosing vertical box is a better
  alternative.
*)

val pp_print_if_newline : formatter -> unit -> unit
(** Execute the next formatting command if the preceding line
  has just been split. Otherwise, ignore the next formatting
  command.
*)

(** {1 Pretty-printing termination} *)

val pp_print_flush : formatter -> unit -> unit
(** End of pretty-printing: resets the pretty-printer to initial state.

  All open pretty-printing boxes are closed, all pending text is printed.
  In addition, the pretty-printer low level output device is flushed to
  ensure that all pending text is really displayed.

  Note: never use [print_flush] in the normal course of a pretty-printing
  routine, since the pretty-printer uses a complex buffering machinery to
  properly indent the output; manually flushing those buffers at random
  would conflict with the pretty-printer strategy and result to poor
  rendering.

  Only consider using [print_flush] when displaying all pending material is
  mandatory (for instance in case of interactive use when you want the user
  to read some text) and when resetting the pretty-printer state will not
  disturb further pretty-printing.

  Warning: If the output device of the pretty-printer is an output channel,
  repeated calls to [print_flush] means repeated calls to {!Stdlib.flush}
  to flush the out channel; these explicit flush calls could foil the
  buffering strategy of output channels and could dramatically impact
  efficiency.
*)

val pp_print_newline : formatter -> unit -> unit
(** End of pretty-printing: resets the pretty-printer to initial state.

  All open pretty-printing boxes are closed, all pending text is printed.

  Equivalent to {!print_flush} followed by a new line.
  See corresponding words of caution for {!print_flush}.

  Note: this is not the normal way to output a new line;
  the preferred method is using break hints within a vertical pretty-printing
  box.
*)

(** {1 Margin} *)

val pp_set_margin : formatter -> int -> unit
(** [pp_set_margin ppf d] sets the right margin to [d] (in characters):
  the pretty-printer splits lines that overflow the right margin according to
  the break hints given.
  Setting the margin to [d] means that the formatting engine aims at
  printing at most [d-1] characters per line.
  Nothing happens if [d] is smaller than 2.
  If [d] is too large, the right margin is set to the maximum
  admissible value (which is greater than [10 ^ 9]).
  If [d] is less than the current maximum indentation limit, the
  maximum indentation limit is decreased while trying to preserve
  a minimal ratio [max_indent/margin>=50%] and if possible
  the current difference [margin - max_indent].

  See also {!pp_set_geometry}.
*)

val pp_get_margin : formatter -> unit -> int
(** Returns the position of the right margin. *)

(** {1:maxindent Maximum indentation limit} *)

val pp_set_max_indent : formatter -> int -> unit
(** [pp_set_max_indent ppf d] sets the maximum indentation limit of lines
  to [d] (in characters):
  once this limit is reached, new pretty-printing boxes are rejected to the
  left, unless the enclosing box fully fits on the current line.
  As an illustration,
  {[ set_margin 10; set_max_indent 5; printf "@[123456@[7@]89A@]@." ]}
  yields
  {[
    123456
    789A
  ]}
  because the nested box ["@[7@]"] is opened after the maximum indentation
  limit ([7>5]) and its parent box does not fit on the current line.
  Either decreasing the length of the parent box to make it fit on a line:
  {[ printf "@[123456@[7@]89@]@." ]}
  or opening an intermediary box before the maximum indentation limit which
  fits on the current line
  {[ printf "@[123@[456@[7@]89@]A@]@." ]}
  avoids the rejection to the left of the inner boxes and print respectively
  ["123456789"] and ["123456789A"] .
  Note also that vertical boxes never fit on a line whereas horizontal boxes
  always fully fit on the current line.
  Opening a box may split a line whereas the contents may have fit.
  If this behavior is problematic, it can be curtailed by setting the maximum
  indentation limit to [margin - 1]. Note that setting the maximum indentation
  limit to [margin] is invalid.

  Nothing happens if [d] is smaller than 2.

  If [d] is too large, the limit is set to the maximum
  admissible value (which is greater than [10 ^ 9]).

  If [d] is greater or equal than the current margin, it is ignored,
  and the current maximum indentation limit is kept.

  See also {!pp_set_geometry}.
*)

val pp_get_max_indent : formatter -> unit -> int
(** Return the maximum indentation limit (in characters). *)

(** {1 Maximum formatting depth} *)

(** The maximum formatting depth is the maximum number of pretty-printing
  boxes simultaneously open.

  Material inside boxes nested deeper is printed as an ellipsis (more
  precisely as the text returned by {!get_ellipsis_text} [()]).
*)

val pp_set_max_boxes : formatter -> int -> unit
(** [pp_set_max_boxes ppf max] sets the maximum number of pretty-printing
    boxes simultaneously open.

  Material inside boxes nested deeper is printed as an ellipsis (more
  precisely as the text returned by {!get_ellipsis_text} [()]).

  Nothing happens if [max] is smaller than 2.
*)

val pp_get_max_boxes : formatter -> unit -> int
(** Returns the maximum number of pretty-printing boxes allowed before
  ellipsis.
*)

val pp_over_max_boxes : formatter -> unit -> bool
(** Tests if the maximum number of pretty-printing boxes allowed have already
  been opened.
*)

(** {1 Tabulation boxes} *)

(**

  A {e tabulation box} prints material on lines divided into cells of fixed
  length. A tabulation box provides a simple way to display vertical columns
  of left adjusted text.

  This box features command [set_tab] to define cell boundaries, and command
  [print_tab] to move from cell to cell and split the line when there is no
  more cells to print on the line.

  Note: printing within tabulation box is line directed, so arbitrary line
  splitting inside a tabulation box leads to poor rendering. Yet, controlled
  use of tabulation boxes allows simple printing of columns within
  module {!Format}.
*)

val pp_open_tbox : formatter -> unit -> unit
(** [open_tbox ()] opens a new tabulation box.

  This box prints lines separated into cells of fixed width.

  Inside a tabulation box, special {e tabulation markers} defines points of
  interest on the line (for instance to delimit cell boundaries).
  Function {!Format.set_tab} sets a tabulation marker at insertion point.

  A tabulation box features specific {e tabulation breaks} to move to next
  tabulation marker or split the line. Function {!Format.print_tbreak} prints
  a tabulation break.
*)

val pp_close_tbox : formatter -> unit -> unit
(** Closes the most recently opened tabulation box. *)

val pp_set_tab : formatter -> unit -> unit
(** Sets a tabulation marker at current insertion point. *)

val pp_print_tab : formatter -> unit -> unit
(** [print_tab ()] emits a 'next' tabulation break hint: if not already set on
  a tabulation marker, the insertion point moves to the first tabulation
  marker on the right, or the pretty-printer splits the line and insertion
  point moves to the leftmost tabulation marker.

  It is equivalent to [print_tbreak 0 0]. *)

val pp_print_tbreak : formatter -> int -> int -> unit
(** [print_tbreak nspaces offset] emits a 'full' tabulation break hint.

  If not already set on a tabulation marker, the insertion point moves to the
  first tabulation marker on the right and the pretty-printer prints
  [nspaces] spaces.

  If there is no next tabulation marker on the right, the pretty-printer
  splits the line at this point, then insertion point moves to the leftmost
  tabulation marker of the box.

  If the pretty-printer splits the line, [offset] is added to
  the current indentation.
*)

(** {1 Ellipsis} *)

val pp_set_ellipsis_text : formatter -> string -> unit
(** Set the text of the ellipsis printed when too many pretty-printing boxes
  are open (a single dot, [.], by default).
*)

val pp_get_ellipsis_text : formatter -> unit -> string
(** Return the text of the ellipsis. *)

(** {1 Convenience formatting functions.} *)

val pp_print_list:
  ?pp_sep:(formatter -> unit -> unit) ->
  (formatter -> 'a -> unit) -> (formatter -> 'a list -> unit)
(** [pp_print_list ?pp_sep pp_v ppf l] prints items of list [l],
  using [pp_v] to print each item, and calling [pp_sep]
  between items ([pp_sep] defaults to {!pp_print_cut}.
  Does nothing on empty lists.

  @since 4.02.0
*)

val pp_print_text : formatter -> string -> unit
(** [pp_print_text ppf s] prints [s] with spaces and newlines respectively
  printed using {!pp_print_space} and {!pp_force_newline}.

  @since 4.02.0
*)

val pp_print_option :
  ?none:(formatter -> unit -> unit) ->
  (formatter -> 'a -> unit) -> (formatter -> 'a option -> unit)
(** [pp_print_option ?none pp_v ppf o] prints [o] on [ppf]
    using [pp_v] if [o] is [Some v] and [none] if it is [None]. [none]
    prints nothing by default.

    @since 4.08 *)

val pp_print_result :
  ok:(formatter -> 'a -> unit) -> error:(formatter -> 'e -> unit) ->
  formatter -> ('a, 'e) result -> unit
(** [pp_print_result ~ok ~error ppf r] prints [r] on [ppf] using
    [ok] if [r] is [Ok _] and [error] if [r] is [Error _].

    @since 4.08 *)

(** {1:fpp Formatted pretty-printing} *)

(**
  Module [Format] provides a complete set of [printf] like functions for
  pretty-printing using format string specifications.

  Specific annotations may be added in the format strings to give
  pretty-printing commands to the pretty-printing engine.

  Those annotations are introduced in the format strings using the [@]
  character. For instance, [@ ] means a space break, [@,] means a cut,
  [@\[] opens a new box, and [@\]] closes the last open box.

*)

val fprintf : formatter -> ('a, formatter, unit) format -> 'a

(** [fprintf ff fmt arg1 ... argN] formats the arguments [arg1] to [argN]
  according to the format string [fmt], and outputs the resulting string on
  the formatter [ff].

  The format string [fmt] is a character string which contains three types of
  objects: plain characters and conversion specifications as specified in
  the {!Printf} module, and pretty-printing indications specific to the
  [Format] module.

  The pretty-printing indication characters are introduced by
  a [@] character, and their meanings are:
  - [@\[]: open a pretty-printing box. The type and offset of the
    box may be optionally specified with the following syntax:
    the [<] character, followed by an optional box type indication,
    then an optional integer offset, and the closing [>] character.
    Pretty-printing box type is one of [h], [v], [hv], [b], or [hov].
    '[h]' stands for an 'horizontal' pretty-printing box,
    '[v]' stands for a 'vertical' pretty-printing box,
    '[hv]' stands for an 'horizontal/vertical' pretty-printing box,
    '[b]' stands for an 'horizontal-or-vertical' pretty-printing box
    demonstrating indentation,
    '[hov]' stands a simple 'horizontal-or-vertical' pretty-printing box.
    For instance, [@\[<hov 2>] opens an 'horizontal-or-vertical'
    pretty-printing box with indentation 2 as obtained with [open_hovbox 2].
    For more details about pretty-printing boxes, see the various box opening
    functions [open_*box].
  - [@\]]: close the most recently opened pretty-printing box.
  - [@,]: output a 'cut' break hint, as with [print_cut ()].
  - [@ ]: output a 'space' break hint, as with [print_space ()].
  - [@;]: output a 'full' break hint as with [print_break]. The
    [nspaces] and [offset] parameters of the break hint may be
    optionally specified with the following syntax:
    the [<] character, followed by an integer [nspaces] value,
    then an integer [offset], and a closing [>] character.
    If no parameters are provided, the good break defaults to a
    'space' break hint.
  - [@.]: flush the pretty-printer and split the line, as with
    [print_newline ()].
  - [@<n>]: print the following item as if it were of length [n].
    Hence, [printf "@<0>%s" arg] prints [arg] as a zero length string.
    If [@<n>] is not followed by a conversion specification,
    then the following character of the format is printed as if
    it were of length [n].
  - [@\{]: open a semantic tag. The name of the tag may be optionally
    specified with the following syntax:
    the [<] character, followed by an optional string
    specification, and the closing [>] character. The string
    specification is any character string that does not contain the
    closing character ['>']. If omitted, the tag name defaults to the
    empty string.
    For more details about semantic tags, see the functions {!open_stag} and
    {!close_stag}.
  - [@\}]: close the most recently opened semantic tag.
  - [@?]: flush the pretty-printer as with [print_flush ()].
    This is equivalent to the conversion [%!].
  - [@\n]: force a newline, as with [force_newline ()], not the normal way
    of pretty-printing, you should prefer using break hints inside a vertical
    pretty-printing box.

  Note: To prevent the interpretation of a [@] character as a
  pretty-printing indication, escape it with a [%] character.
  Old quotation mode [@@] is deprecated since it is not compatible with
  formatted input interpretation of character ['@'].

  Example: [printf "@[%s@ %d@]@." "x =" 1] is equivalent to
  [open_box (); print_string "x ="; print_space ();
   print_int 1; close_box (); print_newline ()].
  It prints [x = 1] within a pretty-printing 'horizontal-or-vertical' box.

*)

val sprintf : ('a, unit, string) format -> 'a
(** Same as [printf] above, but instead of printing on a formatter,
  returns a string containing the result of formatting the arguments.
  Note that the pretty-printer queue is flushed at the end of {e each
  call} to [sprintf].

  In case of multiple and related calls to [sprintf] to output
  material on a single string, you should consider using [fprintf]
  with the predefined formatter [str_formatter] and call
  [flush_str_formatter ()] to get the final result.

  Alternatively, you can use [Format.fprintf] with a formatter writing to a
  buffer of your own: flushing the formatter and the buffer at the end of
  pretty-printing returns the desired string.
*)

val asprintf : ('a, formatter, unit, string) format4 -> 'a
(** Same as [printf] above, but instead of printing on a formatter,
  returns a string containing the result of formatting the arguments.
  The type of [asprintf] is general enough to interact nicely with [%a]
  conversions.

  @since 4.01.0
*)

val dprintf :
  ('a, formatter, unit, formatter -> unit) format4 -> 'a
(** Same as {!fprintf}, except the formatter is the last argument.
  [dprintf "..." a b c] is a function of type
  [formatter -> unit] which can be given to a format specifier [%t].

  This can be used as a replacement for {!asprintf} to delay
  formatting decisions. Using the string returned by {!asprintf} in a
  formatting context forces formatting decisions to be taken in
  isolation, and the final string may be created
  prematurely. {!dprintf} allows delay of formatting decisions until
  the final formatting context is known.
  For example:
{[
  let t = Format.dprintf "%i@ %i@ %i" 1 2 3 in
  ...
  Format.printf "@[<v>%t@]" t
]}

  @since 4.08.0
*)


val ifprintf : formatter -> ('a, formatter, unit) format -> 'a
(** Same as [fprintf] above, but does not print anything.
  Useful to ignore some material when conditionally printing.

  @since 3.10.0
*)

(** Formatted Pretty-Printing with continuations. *)

val kfprintf :
  (formatter -> 'a) -> formatter ->
  ('b, formatter, unit, 'a) format4 -> 'b
(** Same as [fprintf] above, but instead of returning immediately,
  passes the formatter to its first argument at the end of printing. *)

val kdprintf :
  ((formatter -> unit) -> 'a) ->
  ('b, formatter, unit, 'a) format4 -> 'b
(** Same as {!dprintf} above, but instead of returning immediately,
  passes the suspended printer to its first argument at the end of printing.

  @since 4.08.0
*)

val ikfprintf :
  (formatter -> 'a) -> formatter ->
  ('b, formatter, unit, 'a) format4 -> 'b
(** Same as [kfprintf] above, but does not print anything.
  Useful to ignore some material when conditionally printing.

  @since 3.12.0
*)

val ksprintf : (string -> 'a) -> ('b, unit, string, 'a) format4 -> 'b
(** Same as [sprintf] above, but instead of returning the string,
  passes it to the first argument. *)

val kasprintf : (string -> 'a) -> ('b, formatter, unit, 'a) format4 -> 'b
(** Same as [asprintf] above, but instead of returning the string,
  passes it to the first argument.

  @since 4.03
*)
end
# 22 "v5.in.ml"


  module Logging : sig
# 1 "v5/logging.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2021 Nomadic Labs <contact@nomadic-labs.com>                *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** Logging levels.  See [docs/developer/guidelines.rst] for their meaning *)
type level = Debug | Info | Notice | Warning | Error | Fatal

(** Logs a message. It is the shell's responsibility to manage the actual
    logging.

    Even though logging may involve system calls, formatting, or other work, the
    shell guarantees that calling this function doesn't transfer control over
    another promise. Consequently, the performance of this function can be
    considered predictable from the point of view of gas-consumption.

    Note that the function call has predictable performance, but that it is the
    caller's responsibility to ensure that argument evaluation has predictable
    performance too. E.g., [log Notice "%s" (Format.asprint …)] may spend time
    formatting the argument string. *)
val log : level -> ('a, Format.formatter, unit, unit) format4 -> 'a

(** Same as [log] but more efficient with a simpler interface. *)
val log_string : level -> string -> unit
end
# 24 "v5.in.ml"


  module Hex : sig
# 1 "v5/hex.mli"
(*
 * Copyright (c) 2015 Trevor Summers Smith <trevorsummerssmith@gmail.com>
 * Copyright (c) 2014 Thomas Gazagnaire <thomas@gazagnaire.org>
 *
 * Permission to use, copy, modify, and distribute this software for any
 * purpose with or without fee is hereby granted, provided that the above
 * copyright notice and this permission notice appear in all copies.
 *
 * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
 * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
 * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
 * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
 * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
 * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
 * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
 *)

(** Hexadecimal encoding.

    [Hex] defines hexadecimal encodings for {{!char}characters},
    {{!string}strings} and {{!cstruct}Cstruct.t} buffers. *)

type t = [`Hex of string]
(** The type var hexadecimal values. *)

(** {1:char Characters} *)

val of_char: char -> char * char
(** [of_char c] is the the hexadecimal encoding of the character
    [c]. *)

val to_char: char -> char -> char option
(** [to_char x y] is the character corresponding to the [xy]
    hexadecimal encoding.

    Returns [None] if [x] or [y] are not in the ranges ['0'..'9'],
    ['a'..'f'], or ['A'..'F']. *)

(** {1:string Strings} *)

val of_string: ?ignore:char list -> string -> t
(** [of_string s] is the hexadecimal representation of the binary
    string [s]. If [ignore] is set, skip the characters in the list
    when converting. Eg [of_string ~ignore:[' '] "a f"]. The default
    value of [ignore] is [[]]). *)

val to_string: t -> string option
(** [to_string t] is the binary string [s] such that [of_string s] is
    [t].

    Returns [None] if [t] contains a character that is not in the range ['0'..'9'],
    ['a'..'f'], or ['A'..'F']. *)

(** {1:byte Bytes} *)

val of_bytes: ?ignore:char list -> bytes -> t
(** [of_bytes s] is the hexadecimal representation of the binary
    string [s]. If [ignore] is set, skip the characters in the list
    when converting. Eg [of_bytes ~ignore:[' '] "a f"]. The default
    value of [ignore] is [[]]). *)

val to_bytes: t -> bytes option
(** [to_bytes t] is the binary string [s] such that [of_bytes s] is
    [t].

    Returns [None] if [t] contains a character that is not in the range ['0'..'9'],
    ['a'..'f'], or ['A'..'F']. *)

(** {1 Debugging} *)

val hexdump_s: ?print_row_numbers:bool -> ?print_chars:bool -> t -> string
(** Same as [hexdump] except returns a string. *)

(** {1 Pretty printing} *)

val pp : Format.formatter -> t -> unit [@@ocaml.toplevel_printer]
(** [pp fmt t] will output a human-readable hex representation of [t]
    to the formatter [fmt]. *)

val show : t -> string
(** [show t] will return a human-readable hex representation of [t] as
    a string. *)
end
# 26 "v5.in.ml"


  module Z : sig
# 1 "v5/z.mli"
(**
   Integers.

   This modules provides arbitrary-precision integers.
   Small integers internally use a regular OCaml [int].
   When numbers grow too large, we switch transparently to GMP numbers
   ([mpn] numbers fully allocated on the OCaml heap).

   This interface is rather similar to that of [Int32] and [Int64],
   with some additional functions provided natively by GMP
   (GCD, square root, pop-count, etc.).


   This file is part of the Zarith library
   http://forge.ocamlcore.org/projects/zarith .
   It is distributed under LGPL 2 licensing, with static linking exception.
   See the LICENSE file included in the distribution.

   Copyright (c) 2010-2011 Antoine Miné, Abstraction project.
   Abstraction is part of the LIENS (Laboratoire d'Informatique de l'ENS),
   a joint laboratory by:
   CNRS (Centre national de la recherche scientifique, France),
   ENS (École normale supérieure, Paris, France),
   INRIA Rocquencourt (Institut national de recherche en informatique, France).

 *)


(** {1 Toplevel} *)

(** For an optimal experience with the [ocaml] interactive toplevel,
    the magic commands are:

    {[
    #load "zarith.cma";;
    #install_printer Z.pp_print;;
    ]}

    Alternatively, using the new [Zarith_top] toplevel module, simply:
    {[
    #require "zarith.top";;
    ]}
*)



(** {1 Types} *)

type t
(** Type of integers of arbitrary length. *)

exception Overflow
(** Raised by conversion functions when the value cannot be represented in
    the destination type.
 *)

(** {1 Construction} *)

val zero: t
(** The number 0. *)

val one: t
(** The number 1. *)

val minus_one: t
(** The number -1. *)

external of_int: int -> t = "%identity"
(** Converts from a base integer. *)

external of_int32: int32 -> t = "ml_z_of_int32"
(** Converts from a 32-bit integer. *)

external of_int64: int64 -> t = "ml_z_of_int64"
(** Converts from a 64-bit integer. *)

val of_string: string -> t
(** Converts a string to an integer.
    An optional [-] prefix indicates a negative number, while a [+]
    prefix is ignored.
    An optional prefix [0x], [0o], or [0b] (following the optional [-]
    or [+] prefix) indicates that the number is,
    represented, in hexadecimal, octal, or binary, respectively.
    Otherwise, base 10 is assumed.
    (Unlike C, a lone [0] prefix does not denote octal.)
    Raises an [Invalid_argument] exception if the string is not a
    syntactically correct representation of an integer.
 *)

val of_substring : string -> pos:int -> len:int -> t
(** [of_substring s ~pos ~len] is the same as [of_string (String.sub s
    pos len)]
 *)

val of_string_base: int -> string -> t
(** Parses a number represented as a string in the specified base,
    with optional [-] or [+] prefix.
    The base must be between 2 and 16.
 *)

external of_substring_base
  : int -> string -> pos:int -> len:int -> t
  = "ml_z_of_substring_base"
(** [of_substring_base base s ~pos ~len] is the same as [of_string_base
    base (String.sub s pos len)]
*)


(** {1 Basic arithmetic operations} *)

val succ: t -> t
(** Returns its argument plus one. *)

val pred: t -> t
(** Returns its argument minus one. *)

val abs: t -> t
(** Absolute value. *)

val neg: t -> t
(** Unary negation. *)

val add: t -> t -> t
(** Addition. *)

val sub: t -> t -> t
(** Subtraction. *)

val mul: t -> t -> t
(** Multiplication. *)

val div: t -> t -> t
(** Integer division. The result is truncated towards zero
    and obeys the rule of signs.
    Raises [Division_by_zero] if the divisor (second argument) is 0.
 *)

val rem: t -> t -> t
(** Integer remainder. Can raise a [Division_by_zero].
    The result of [rem a b] has the sign of [a], and its absolute value is
    strictly smaller than the absolute value of [b].
    The result satisfies the equality [a = b * div a b + rem a b].
 *)

external div_rem: t -> t -> (t * t) = "ml_z_div_rem"
(** Computes both the integer quotient and the remainder.
    [div_rem a b] is equal to [(div a b, rem a b)].
    Raises [Division_by_zero] if [b = 0].
 *)

external cdiv: t -> t -> t = "ml_z_cdiv"
(** Integer division with rounding towards +oo (ceiling).
    Can raise a [Division_by_zero].
 *)

external fdiv: t -> t -> t = "ml_z_fdiv"
(** Integer division with rounding towards -oo (floor).
    Can raise a [Division_by_zero].
 *)

val ediv_rem: t -> t -> (t * t)
(** Euclidean division and remainder.  [ediv_rem a b] returns a pair [(q, r)]
    such that [a = b * q + r] and [0 <= r < |b|].
    Raises [Division_by_zero] if [b = 0].
 *)

val ediv: t -> t -> t
(** Euclidean division. [ediv a b] is equal to [fst (ediv_rem a b)].
    The result satisfies [0 <= a - b * ediv a b < |b|].
    Raises [Division_by_zero] if [b = 0].
 *)

val erem: t -> t -> t
(** Euclidean remainder.  [erem a b] is equal to [snd (ediv_rem a b)].
    The result satisfies [0 <= erem a b < |b|] and
    [a = b * ediv a b + erem a b].  Raises [Division_by_zero] if [b = 0].
 *)

val divexact: t -> t -> t
(** [divexact a b] divides [a] by [b], only producing correct result when the
    division is exact, i.e., when [b] evenly divides [a].
    It should be faster than general division.
    Can raise a [Division_by_zero].
*)

external divisible: t -> t -> bool = "ml_z_divisible"
(** [divisible a b] returns [true] if [a] is exactly divisible by [b].
    Unlike the other division functions, [b = 0] is accepted 
    (only 0 is considered divisible by 0).
*)

external congruent: t -> t -> t -> bool = "ml_z_congruent"
(** [congruent a b c] returns [true] if [a] is congruent to [b] modulo [c].
    Unlike the other division functions, [c = 0] is accepted 
    (only equal numbers are considered equal congruent 0).
*)




(** {1 Bit-level operations} *)

(** For all bit-level operations, negative numbers are considered in 2's
    complement representation, starting with a virtual infinite number of
    1s.
 *)

val logand: t -> t -> t
(** Bitwise logical and. *)
    
val logor: t -> t -> t
(** Bitwise logical or. *)
    
val logxor: t -> t -> t
(** Bitwise logical exclusive or. *)

val lognot: t -> t
(** Bitwise logical negation. 
    The identity [lognot a]=[-a-1] always hold.
 *)

val shift_left: t -> int -> t
(** Shifts to the left. 
    Equivalent to a multiplication by a power of 2.
    The second argument must be nonnegative.
 *)

val shift_right: t -> int -> t
(** Shifts to the right. 
    This is an arithmetic shift, 
    equivalent to a division by a power of 2 with rounding towards -oo.
    The second argument must be nonnegative.
 *)

val shift_right_trunc: t -> int -> t
(** Shifts to the right, rounding towards 0.
    This is equivalent to a division by a power of 2, with truncation.
    The second argument must be nonnegative.
 *)

external numbits: t -> int = "ml_z_numbits" [@@noalloc]
(** Returns the number of significant bits in the given number.
    If [x] is zero, [numbits x] returns 0.  Otherwise,
    [numbits x] returns a positive integer [n] such that
    [2^{n-1} <= |x| < 2^n].  Note that [numbits] is defined
    for negative arguments, and that [numbits (-x) = numbits x]. *)

external trailing_zeros: t -> int = "ml_z_trailing_zeros" [@@noalloc]
(** Returns the number of trailing 0 bits in the given number.
    If [x] is zero, [trailing_zeros x] returns [max_int].
    Otherwise, [trailing_zeros x] returns a nonnegative integer [n]
    which is the largest [n] such that [2^n] divides [x] evenly.
    Note that [trailing_zeros] is defined for negative arguments,
    and that [trailing_zeros (-x) = trailing_zeros x]. *)

val testbit: t -> int -> bool
(** [testbit x n] return the value of bit number [n] in [x]:
    [true] if the bit is 1, [false] if the bit is 0.
    Bits are numbered from 0.  Raise [Invalid_argument] if [n]
    is negative. *)

external popcount: t -> int = "ml_z_popcount"
(** Counts the number of bits set.
    Raises [Overflow] for negative arguments, as those have an infinite
    number of bits set.
 *)

external hamdist: t -> t -> int = "ml_z_hamdist"
(** Counts the number of different bits.
    Raises [Overflow] if the arguments have different signs
    (in which case the distance is infinite).
 *)

(** {1 Conversions} *)

(** Note that, when converting to an integer type that cannot represent the
    converted value, an [Overflow] exception is raised.
 *)

val to_int: t -> int
(** Converts to a base integer. May raise an [Overflow]. *)

external to_int32: t -> int32 = "ml_z_to_int32"
(** Converts to a 32-bit integer. May raise [Overflow]. *)

external to_int64: t -> int64 = "ml_z_to_int64"
(** Converts to a 64-bit integer. May raise [Overflow]. *)

val to_string: t -> string
(** Gives a human-readable, decimal string representation of the argument. *)

external format: string -> t -> string = "ml_z_format"
(** Gives a string representation of the argument in the specified
    printf-like format.
    The general specification has the following form:

    [% \[flags\] \[width\] type]

    Where the type actually indicates the base:

    - [i], [d], [u]: decimal
    - [b]: binary
    - [o]: octal
    - [x]: lowercase hexadecimal
    - [X]: uppercase hexadecimal

    Supported flags are:

    - [+]: prefix positive numbers with a [+] sign
    - space: prefix positive numbers with a space
    - [-]: left-justify (default is right justification)
    - [0]: pad with zeroes (instead of spaces)
    - [#]: alternate formatting (actually, simply output a literal-like prefix: [0x], [0b], [0o])

    Unlike the classic [printf], all numbers are signed (even hexadecimal ones),
    there is no precision field, and characters that are not part of the format
    are simply ignored (and not copied in the output).
 *)

external fits_int: t -> bool = "ml_z_fits_int" [@@noalloc]
(** Whether the argument fits in a regular [int]. *)

external fits_int32: t -> bool = "ml_z_fits_int32" [@@noalloc]
(** Whether the argument fits in an [int32]. *)

external fits_int64: t -> bool = "ml_z_fits_int64" [@@noalloc]
(** Whether the argument fits in an [int64]. *)


(** {1 Printing} *)

val pp_print: Format.formatter -> t -> unit
(** Prints the argument on the specified formatter.
    Can be used as [%a] format printer in [Format.printf] and as
    argument to [#install_printer] in the top-level.
 *)


(** {1 Ordering} *)

external compare: t -> t -> int = "ml_z_compare" [@@noalloc]
(** Comparison.  [compare x y] returns 0 if [x] equals [y],
    -1 if [x] is smaller than [y], and 1 if [x] is greater than [y].

    Note that Pervasive.compare can be used to compare reliably two integers
    only on OCaml 3.12.1 and later versions.
 *)

external equal: t -> t -> bool = "ml_z_equal" [@@noalloc]
(** Equality test. *)

val leq: t -> t -> bool
(** Less than or equal. *)

val geq: t -> t -> bool
(** Greater than or equal. *)

val lt: t -> t -> bool
(** Less than (and not equal). *)

val gt: t -> t -> bool
(** Greater than (and not equal). *)

external sign: t -> int = "ml_z_sign" [@@noalloc]
(** Returns -1, 0, or 1 when the argument is respectively negative, null, or
    positive.
 *)

val min: t -> t -> t
(** Returns the minimum of its arguments. *)

val max: t -> t -> t
(** Returns the maximum of its arguments. *)

val is_even: t -> bool
(** Returns true if the argument is even (divisible by 2), false if odd. *)

val is_odd: t -> bool
(** Returns true if the argument is odd, false if even. *)

(** {1 Powers} *)

external pow: t -> int -> t = "ml_z_pow"
(** [pow base exp] raises [base] to the [exp] power.
    [exp] must be nonnegative.
    Note that only exponents fitting in a machine integer are supported, as
    larger exponents would surely make the result's size overflow the
    address space.
 *)

external sqrt: t -> t = "ml_z_sqrt"
(** Returns the square root. The result is truncated (rounded down
    to an integer).
    Raises an [Invalid_argument] on negative arguments.
 *)

external sqrt_rem: t -> (t * t) = "ml_z_sqrt_rem"
(** Returns the square root truncated, and the remainder.
    Raises an [Invalid_argument] on negative arguments.
 *)

external root: t -> int -> t = "ml_z_root"
(** [root x n] computes the [n]-th root of [x].
    [n] must be positive and, if [n] is even, then [x] must be nonnegative.
    Otherwise, an [Invalid_argument] is raised.
 *)

external rootrem: t -> int -> t * t = "ml_z_rootrem"
(** [rootrem x n] computes the [n]-th root of [x] and the remainder
    [x-root**n].
    [n] must be positive and, if [n] is even, then [x] must be nonnegative.
    Otherwise, an [Invalid_argument] is raised.
 *)

external perfect_power: t -> bool = "ml_z_perfect_power"
(** True if the argument has the form [a^b], with [b>1] *)

external perfect_square: t -> bool = "ml_z_perfect_square"
(** True if the argument has the form [a^2]. *)

val log2: t -> int
(** Returns the base-2 logarithm of its argument, rounded down to
    an integer.  If [x] is positive, [log2 x] returns the largest [n]
    such that [2^n <= x].  If [x] is negative or zero, [log2 x] raise
    the [Invalid_argument] exception. *)

val log2up: t -> int
(** Returns the base-2 logarithm of its argument, rounded up to
    an integer.  If [x] is positive, [log2up x] returns the smallest [n]
    such that [x <= 2^n].  If [x] is negative or zero, [log2up x] raise
    the [Invalid_argument] exception. *)

(** {1 Representation} *)

external size: t -> int = "ml_z_size" [@@noalloc]
(** Returns the number of machine words used to represent the number. *)

external extract: t -> int -> int -> t = "ml_z_extract"
(** [extract a off len] returns a nonnegative number corresponding to bits
    [off] to [off]+[len]-1 of [b].
    Negative [a] are considered in infinite-length 2's complement
    representation.
 *)

val signed_extract: t -> int -> int -> t
(** [signed_extract a off len] extracts bits [off] to [off]+[len]-1 of [b],
    as [extract] does, then sign-extends bit [len-1] of the result
    (that is, bit [off + len - 1] of [a]).  The result is between
    [- 2{^[len]-1}] (included) and [2{^[len]-1}] (excluded),
    and equal to [extract a off len] modulo [2{^len}].
 *)

external to_bits: t -> string = "ml_z_to_bits"
(** Returns a binary representation of the argument.
    The string result should be interpreted as a sequence of bytes,
    corresponding to the binary representation of the absolute value of
    the argument in little endian ordering.
    The sign is not stored in the string.
 *)

external of_bits: string -> t = "ml_z_of_bits"
(** Constructs a number from a binary string representation.
    The string is interpreted as a sequence of bytes in little endian order,
    and the result is always positive.
    We have the identity: [of_bits (to_bits x) = abs x].
    However, we can have [to_bits (of_bits s) <> s] due to the presence of
    trailing zeros in s.
 *)
end
# 28 "v5.in.ml"


  module Lwt : sig
# 1 "v5/lwt.mli"
(* This file is part of Lwt, released under the MIT license. See LICENSE.md for
   details, or visit https://github.com/ocsigen/lwt/blob/master/LICENSE.md. *)


(** {2 Fundamentals} *)

(** {3 Promises} *)

type +'a t
(** Promises for values of type ['a].

    A {b promise} is a memory cell that is always in one of three {b states}:

    - {e fulfilled}, and containing one value of type ['a],
    - {e rejected}, and containing one exception, or
    - {e pending}, in which case it may become fulfilled or rejected later.

    A {e resolved} promise is one that is either fulfilled or rejected, i.e. not
    pending. Once a promise is resolved, its content cannot change. So, promises
    are {e write-once references}. The only possible state changes are (1) from
    pending to fulfilled and (2) from pending to rejected.

    Promises are typically “read” by attaching {b callbacks} to them. The most
    basic functions for that are {!Lwt.bind}, which attaches a callback that is
    called when a promise becomes fulfilled, and {!Lwt.catch}, for rejection.

    Promise variables of this type, ['a Lwt.t], are actually {b read-only} in
    Lwt. Separate {e resolvers} of type ['a ]{!Lwt.u} are used to write to them.
    Promises and their resolvers are created together by calling {!Lwt.wait}.
    There is one exception to this: most promises can be {e canceled} by calling
    {!Lwt.cancel}, without going through a resolver. *)

val return : 'a -> 'a t
(** [Lwt.return v] creates a new {{: #TYPEt} promise} that is {e already
    fulfilled} with value [v].

    This is needed to satisfy the type system in some cases. For example, in a
    [match] expression where one case evaluates to a promise, the other cases
    have to evaluate to promises as well:

{[
match need_input with
| true -> Lwt_io.(read_line stdin)   (* Has type string Lwt.t... *)
| false -> Lwt.return ""             (* ...so wrap empty string in a promise. *)
]}

    Another typical usage is in {{: #VALbind} [let%lwt]}. The expression after
    the “[in]” has to evaluate to a promise. So, if you compute an ordinary
    value instead, you have to wrap it:

{[
let%lwt line = Lwt_io.(read_line stdin) in
Lwt.return (line ^ ".")
]} *)


(** {3 Callbacks} *)

val bind : 'a t -> ('a -> 'b t) -> 'b t
(** [Lwt.bind p_1 f] makes it so that [f] will run when [p_1] is {{: #TYPEt}
    {e fulfilled}}.

    When [p_1] is fulfilled with value [v_1], the callback [f] is called with
    that same value [v_1]. Eventually, after perhaps starting some I/O or other
    computation, [f] returns promise [p_2].

    [Lwt.bind] itself returns immediately. It only attaches the callback [f] to
    [p_1] – it does not wait for [p_2]. {e What} [Lwt.bind] returns is yet a
    third promise, [p_3]. Roughly speaking, fulfillment of [p_3] represents both
    [p_1] and [p_2] becoming fulfilled, one after the other.

    A minimal example of this is an echo program:

{[
let () =
  let p_3 =
    Lwt.bind
      Lwt_io.(read_line stdin)
      (fun line -> Lwt_io.printl line)
  in
  Lwt_main.run p_3

(* ocamlfind opt -linkpkg -thread -package lwt.unix code.ml && ./a.out *)
]}

    Rejection of [p_1] and [p_2], and raising an exception in [f], are all
    forwarded to rejection of [p_3].

    {b Precise behavior}

    [Lwt.bind] returns a promise [p_3] immediately. [p_3] starts out pending,
    and is resolved as follows:

    - The first condition to wait for is that [p_1] becomes resolved. It does
      not matter whether [p_1] is already resolved when [Lwt.bind] is called, or
      becomes resolved later – the rest of the behavior is the same.
    - If and when [p_1] becomes resolved, it will, by definition, be either
      fulfilled or rejected.
    - If [p_1] is rejected, [p_3] is rejected with the same exception.
    - If [p_1] is fulfilled, with value [v], [f] is applied to [v].
    - [f] may finish by returning the promise [p_2], or raising an exception.
    - If [f] raises an exception, [p_3] is rejected with that exception.
    - Finally, the remaining case is when [f] returns [p_2]. From that point on,
      [p_3] is effectively made into a reference to [p_2]. This means they have
      the same state, undergo the same state changes, and performing any
      operation on one is equivalent to performing it on the other.

    {b Syntactic sugar}

    [Lwt.bind] is almost never written directly, because sequences of [Lwt.bind]
    result in growing indentation and many parentheses:

{[
let () =
  Lwt_main.run begin
    Lwt.bind Lwt_io.(read_line stdin) (fun line ->
      Lwt.bind (Lwt_unix.sleep 1.) (fun () ->
        Lwt_io.printf "One second ago, you entered %s\n" line))
  end

(* ocamlfind opt -linkpkg -thread -package lwt.unix code.ml && ./a.out *)
]}

    The recommended way to write [Lwt.bind] is using the [let%lwt] syntactic
    sugar:

{[
let () =
  Lwt_main.run begin
    let%lwt line = Lwt_io.(read_line stdin) in
    let%lwt () = Lwt_unix.sleep 1. in
    Lwt_io.printf "One second ago, you entered %s\n" line
  end

(* ocamlfind opt -linkpkg -thread -package lwt_ppx,lwt.unix code.ml && ./a.out *)
]}

    This uses the Lwt {{: Ppx_lwt.html} PPX} (preprocessor). Note that we had to
    add package [lwt_ppx] to the command line for building this program. We will
    do that throughout this manual.

    Another way to write [Lwt.bind], that you may encounter while reading code,
    is with the [>>=] operator:

{[
open Lwt.Infix

let () =
  Lwt_main.run begin
    Lwt_io.(read_line stdin) >>= fun line ->
    Lwt_unix.sleep 1. >>= fun () ->
    Lwt_io.printf "One second ago, you entered %s\n" line
  end

(* ocamlfind opt -linkpkg -thread -package lwt.unix code.ml && ./a.out *)
]}

    The [>>=] operator comes from the module {!Lwt.Infix}, which is why we
    opened it at the beginning of the program.

    See also {!Lwt.map}. *)



(** {2 Convenience} *)

(** {3 Callback helpers} *)

val map : ('a -> 'b) -> 'a t -> 'b t
(** [Lwt.map f p_1] is similar to {!Lwt.bind}[ p_1 f], but [f] is not expected
    to return a promise.

    This function is more convenient that {!Lwt.bind} when [f] inherently does
    not return a promise. An example is [Stdlib.int_of_string]:

{[
let read_int : unit -> int Lwt.t = fun () ->
  Lwt.map
    int_of_string
    Lwt_io.(read_line stdin)

let () =
  Lwt_main.run begin
    let%lwt number = read_int () in
    Lwt_io.printf "%i\n" number
  end

(* ocamlfind opt -linkpkg -thread -package lwt_ppx,lwt.unix code.ml && ./a.out *)
]}

    By comparison, the {!Lwt.bind} version is more awkward:

{[
let read_int : unit -> int Lwt.t = fun () ->
  Lwt.bind
    Lwt_io.(read_line stdin)
    (fun line -> Lwt.return (int_of_string line))
]}

    As with {!Lwt.bind}, sequences of calls to [Lwt.map] result in excessive
    indentation and parentheses. The recommended syntactic sugar for avoiding
    this is the {{: #VAL(>|=)} [>|=]} operator, which comes from module
    [Lwt.Infix]:

{[
open Lwt.Infix

let read_int : unit -> int Lwt.t = fun () ->
  Lwt_io.(read_line stdin) >|= int_of_string
]}

    The detailed operation follows. For consistency with the promises in
    {!Lwt.bind}, the {e two} promises involved are named [p_1] and [p_3]:

    - [p_1] is the promise passed to [Lwt.map].
    - [p_3] is the promise returned by [Lwt.map].

    [Lwt.map] returns a promise [p_3]. [p_3] starts out pending. It is resolved
    as follows:

    - [p_1] may be, or become, resolved. In that case, by definition, it will
      become fulfilled or rejected. Fulfillment is the interesting case, but the
      behavior on rejection is simpler, so we focus on rejection first.
    - When [p_1] becomes rejected, [p_3] is rejected with the same exception.
    - When [p_1] instead becomes fulfilled, call the value it is fulfilled with
      [v].
    - [f v] is applied. If this finishes, it may either return another value, or
      raise an exception.
    - If [f v] returns another value [v'], [p_3] is fulfilled with [v'].
    - If [f v] raises exception [exn], [p_3] is rejected with [exn]. *)


(** {3 Pre-allocated promises} *)

val return_unit : unit t
(** [Lwt.return_unit] is defined as {!Lwt.return}[ ()], but this definition is
    evaluated only once, during initialization of module [Lwt], at the beginning
    of your program.

    This means the promise is allocated only once. By contrast, each time
    {!Lwt.return}[ ()] is evaluated, it allocates a new promise.

    It is recommended to use [Lwt.return_unit] only where you know the
    allocations caused by an instance of {!Lwt.return}[ ()] are a performance
    bottleneck. Generally, the cost of I/O tends to dominate the cost of
    {!Lwt.return}[ ()] anyway.

    In future Lwt, we hope to perform this optimization, of using a single,
    pre-allocated promise, automatically, wherever {!Lwt.return}[ ()] is
    written. *)

val return_none : (_ option) t
(** [Lwt.return_none] is like {!Lwt.return_unit}, but for
    {!Lwt.return}[ None]. *)

val return_nil : (_ list) t
(** [Lwt.return_nil] is like {!Lwt.return_unit}, but for {!Lwt.return}[ []]. *)

val return_true : bool t
(** [Lwt.return_true] is like {!Lwt.return_unit}, but for
    {!Lwt.return}[ true]. *)

val return_false : bool t
(** [Lwt.return_false] is like {!Lwt.return_unit}, but for
    {!Lwt.return}[ false]. *)
end
# 30 "v5.in.ml"


  module Data_encoding : sig
# 1 "v5/data_encoding.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(* Copyright (c) 2022 Nomadic Labs <contact@nomadic-labs.com>                *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** In memory JSON data *)
type json =
  [ `O of (string * json) list
  | `Bool of bool
  | `Float of float
  | `A of json list
  | `Null
  | `String of string ]

(* [tag_size] is not declared in the upstream library, instead, the expanded
   polymorphic-variant type-expression is used as is. We include it in the
   protocol environment to help coq-of-ocaml process the files. *)
type tag_size = [`Uint8 | `Uint16]

type json_schema

(** The type descriptors for values of type ['a]. *)
type 'a t

type 'a encoding = 'a t

val classify : 'a encoding -> [`Fixed of int | `Dynamic | `Variable]

(** {3 Ground descriptors} *)

(** {4 voids} *)

(** Special value [null] in JSON, nothing in binary. *)
val null : unit encoding

(** Empty object (not included in binary, encoded as empty object in JSON). *)
val empty : unit encoding

(** Unit value, omitted in binary.
      Serialized as an empty object in JSON, accepts any object when deserializing. *)
val unit : unit encoding

(** Constant string (data is not included in the binary data). *)
val constant : string -> unit encoding

(** {4 ground numerical types}

      All encodings are big-endians.

      - 8-bit integers (signed or unsigned) are encoded over 1 single byte.
      - 16-bit integers (signed or unsigned) are encoded over 2 bytes.
      - 31-bit integers are always signed and always encoded over 4 bytes.
      - 32-bit integers are always signed and always encoded over 4 bytes.
      - 64-bit integers are always signed and always encoded over 8 bytes.

      A note on 31-bit integers. The internal representation of integers in
      OCaml reserves one bit for GC tagging. The remaining bits encode a signed
      integer. For compatibility with 32-bit machine, we restrict these native
      integers to the 31-bit range. *)

(** Signed 8 bit integer
      (data is encoded as a byte in binary and an integer in JSON). *)
val int8 : int encoding

(** Unsigned 8 bit integer
      (data is encoded as a byte in binary and an integer in JSON). *)
val uint8 : int encoding

(** Signed 16 bit integer
      (data is encoded as a short in binary and an integer in JSON). *)
val int16 : int encoding

(** Unsigned 16 bit integer
      (data is encoded as a short in binary and an integer in JSON). *)
val uint16 : int encoding

(** Signed 31 bit integer, which corresponds to type int on 32-bit OCaml systems
      (data is encoded as a 32 bit int in binary and an integer in JSON). *)
val int31 : int encoding

(** Signed 32 bit integer
      (data is encoded as a 32-bit int in binary and an integer in JSON). *)
val int32 : int32 encoding

(** Signed 64 bit integer
      (data is encoded as a 64-bit int in binary and a decimal string in JSON). *)
val int64 : int64 encoding

(** Integer with bounds in a given range. Both bounds are inclusive.

      @raise Invalid_argument if the bounds are beyond the interval
      [-2^30; 2^30-1]. These bounds are chosen to be compatible with all versions
      of OCaml.
  *)
val ranged_int : int -> int -> int encoding

(** Big number
      In JSON, data is encoded as a decimal string.
      In binary, data is encoded as a variable length sequence of
      bytes, with a running unary size bit: the most significant bit of
      each byte tells is this is the last byte in the sequence (0) or if
      there is more to read (1). The second most significant bit of the
      first byte is reserved for the sign (positive if zero). Binary_size and
      sign bits ignored, data is then the binary representation of the
      absolute value of the number in little-endian order. *)
val z : Z.t encoding

(** Positive big number, see [z]. *)
val n : Z.t encoding

(** {4 Other ground type encodings} *)

(** Encoding of a boolean
    (data is encoded as a byte in binary and a boolean in JSON). *)
val bool : bool encoding

(** Encoding of a string
    - encoded as a byte sequence in binary prefixed by the length
      of the string
    - encoded as a string in JSON. *)
val string : string encoding

(** Encoding of arbitrary bytes
    (encoded via hex in JSON and directly as a sequence byte in binary). *)
val bytes : Bytes.t encoding

(** {3 Descriptor combinators} *)

(** Combinator to make an optional value
    (represented as a 1-byte tag followed by the data (or nothing) in binary
     and either the raw value or a null in JSON).

    Note that the JSON representation is only weakly discriminating.
    Specifically, the value [Some None] is represented as the raw value [None]
    and so the two are indistinguishable. For this reason, this combinator
    does not support nesting, nor does it support use within a recursive
    ({!mu}) encoding.

    @raise Invalid_argument if called on an encoding which may be represented
    as [null] in JSON. This includes an encoding of the form [option _],
    [conv _ _ (option _)], [dynamic_size (option _)], etc.

    @raise Invalid_argument if called within the body of a {!mu}. *)
val option : 'a encoding -> 'a option encoding

(** Combinator to make a {!result} value
    represented as a 1-byte tag followed by the data of either type in binary,
    and either unwrapped value in JSON (the caller must ensure that both
    encodings do not collide). *)
val result : 'a encoding -> 'b encoding -> ('a, 'b) result encoding

(** Array combinator.
    - encoded as an array in JSON
    - encoded as the concatenation of all the element in binary
     prefixed its length in bytes

    @param [max_length]
    If [max_length] is passed and the encoding of elements has fixed
    size, a {!check_size} is automatically added for earlier rejection.

    @raise Invalid_argument if the inner encoding is variable. *)
val array : ?max_length:int -> 'a encoding -> 'a array encoding

(** List combinator.
    - encoded as an array in JSON
    - encoded as the concatenation of all the element in binary
     prefixed its length in bytes

    @param [max_length]
    If [max_length] is passed and the encoding of elements has fixed
    size, a {!check_size} is automatically added for earlier rejection.

    @raise Invalid_argument if the inner encoding is variable. *)
val list : ?max_length:int -> 'a encoding -> 'a list encoding

(** Provide a transformer from one encoding to a different one.

    Used to simplify nested encodings or to change the generic tuples
    built by {!obj1}, {!tup1} and the like into proper records.

    A schema may optionally be provided as documentation of the new encoding. *)
val conv :
  ('a -> 'b) -> ('b -> 'a) -> ?schema:json_schema -> 'b encoding -> 'a encoding

(** [conv_with_guard] is similar to {!conv} but the function that takes in the value
    from the outside (untrusted) world has a chance to fail.

    Specifically, if the function returns [Error msg] then the decoding is
    interrupted with an error carrying the message [msg]. If the function
    returns [Ok _] then the decoding proceeds normally. *)
val conv_with_guard :
  ('a -> 'b) ->
  ('b -> ('a, string) result) ->
  ?schema:json_schema ->
  'b encoding ->
  'a encoding

(** [with_decoding_guard g e] is similar to [e] but decoding fails if [g]
    returns [Error _] on the decoded value. *)
val with_decoding_guard :
  ('a -> (unit, string) result) -> 'a encoding -> 'a encoding

(** Association list.
    An object in JSON, a list of pairs in binary. *)
val assoc : 'a encoding -> (string * 'a) list encoding

(** {3 Product descriptors} *)

(** An enriched encoding to represent a component in a structured
    type, augmenting the encoding with a name and whether it is a
    required or optional. Fields are used to encode OCaml tuples as
    objects in JSON, and as sequences in binary, using combinator
    {!obj1} and the like. *)
type 'a field

(** Required field. *)
val req :
  ?title:string -> ?description:string -> string -> 't encoding -> 't field

(** Optional field. Omitted entirely in JSON encoding if None.
    Omitted in binary if the only optional field in a [`Variable]
    encoding, otherwise a 1-byte prefix (`0` or `255`) tells if the
    field is present or not. *)
val opt :
  ?title:string ->
  ?description:string ->
  string ->
  't encoding ->
  't option field

(** Optional field of variable length.
    Only one can be present in a given object. *)
val varopt :
  ?title:string ->
  ?description:string ->
  string ->
  't encoding ->
  't option field

(** Required field with a default value.
    If the default value is passed, the field is omitted in JSON.
    The value is always serialized in binary. *)
val dft :
  ?title:string ->
  ?description:string ->
  string ->
  't encoding ->
  't ->
  't field

(** {4 Constructors for objects with N fields} *)

(** These are serialized to binary by converting each internal
    object to binary and placing them in the order of the original
    object. These are serialized to JSON as a JSON object with the
    field names. An object might only contains one 'variable'
    field, typically the last one. If the encoding of more than one
    field are 'variable', the first ones should be wrapped with
    [dynamic_size].

    @raise Invalid_argument if more than one field is a variable one. *)

val obj1 : 'f1 field -> 'f1 encoding

val obj2 : 'f1 field -> 'f2 field -> ('f1 * 'f2) encoding

val obj3 : 'f1 field -> 'f2 field -> 'f3 field -> ('f1 * 'f2 * 'f3) encoding

val obj4 :
  'f1 field ->
  'f2 field ->
  'f3 field ->
  'f4 field ->
  ('f1 * 'f2 * 'f3 * 'f4) encoding

val obj5 :
  'f1 field ->
  'f2 field ->
  'f3 field ->
  'f4 field ->
  'f5 field ->
  ('f1 * 'f2 * 'f3 * 'f4 * 'f5) encoding

val obj6 :
  'f1 field ->
  'f2 field ->
  'f3 field ->
  'f4 field ->
  'f5 field ->
  'f6 field ->
  ('f1 * 'f2 * 'f3 * 'f4 * 'f5 * 'f6) encoding

val obj7 :
  'f1 field ->
  'f2 field ->
  'f3 field ->
  'f4 field ->
  'f5 field ->
  'f6 field ->
  'f7 field ->
  ('f1 * 'f2 * 'f3 * 'f4 * 'f5 * 'f6 * 'f7) encoding

val obj8 :
  'f1 field ->
  'f2 field ->
  'f3 field ->
  'f4 field ->
  'f5 field ->
  'f6 field ->
  'f7 field ->
  'f8 field ->
  ('f1 * 'f2 * 'f3 * 'f4 * 'f5 * 'f6 * 'f7 * 'f8) encoding

val obj9 :
  'f1 field ->
  'f2 field ->
  'f3 field ->
  'f4 field ->
  'f5 field ->
  'f6 field ->
  'f7 field ->
  'f8 field ->
  'f9 field ->
  ('f1 * 'f2 * 'f3 * 'f4 * 'f5 * 'f6 * 'f7 * 'f8 * 'f9) encoding

val obj10 :
  'f1 field ->
  'f2 field ->
  'f3 field ->
  'f4 field ->
  'f5 field ->
  'f6 field ->
  'f7 field ->
  'f8 field ->
  'f9 field ->
  'f10 field ->
  ('f1 * 'f2 * 'f3 * 'f4 * 'f5 * 'f6 * 'f7 * 'f8 * 'f9 * 'f10) encoding

(** Create a larger object from the encodings of two smaller ones.
    @raise Invalid_argument if both arguments are not objects  or if both
    tuples contains a variable field.. *)
val merge_objs : 'o1 encoding -> 'o2 encoding -> ('o1 * 'o2) encoding

(** {4 Constructors for tuples with N fields} *)

(** These are serialized to binary by converting each internal
    object to binary and placing them in the order of the original
    object. These are serialized to JSON as JSON arrays/lists.  Like
    objects, a tuple might only contains one 'variable' field,
    typically the last one. If the encoding of more than one field
    are 'variable', the first ones should be wrapped with
    [dynamic_size].

    @raise Invalid_argument if more than one field is a variable one. *)

val tup1 : 'f1 encoding -> 'f1 encoding

val tup2 : 'f1 encoding -> 'f2 encoding -> ('f1 * 'f2) encoding

val tup3 :
  'f1 encoding -> 'f2 encoding -> 'f3 encoding -> ('f1 * 'f2 * 'f3) encoding

val tup4 :
  'f1 encoding ->
  'f2 encoding ->
  'f3 encoding ->
  'f4 encoding ->
  ('f1 * 'f2 * 'f3 * 'f4) encoding

val tup5 :
  'f1 encoding ->
  'f2 encoding ->
  'f3 encoding ->
  'f4 encoding ->
  'f5 encoding ->
  ('f1 * 'f2 * 'f3 * 'f4 * 'f5) encoding

val tup6 :
  'f1 encoding ->
  'f2 encoding ->
  'f3 encoding ->
  'f4 encoding ->
  'f5 encoding ->
  'f6 encoding ->
  ('f1 * 'f2 * 'f3 * 'f4 * 'f5 * 'f6) encoding

val tup7 :
  'f1 encoding ->
  'f2 encoding ->
  'f3 encoding ->
  'f4 encoding ->
  'f5 encoding ->
  'f6 encoding ->
  'f7 encoding ->
  ('f1 * 'f2 * 'f3 * 'f4 * 'f5 * 'f6 * 'f7) encoding

val tup8 :
  'f1 encoding ->
  'f2 encoding ->
  'f3 encoding ->
  'f4 encoding ->
  'f5 encoding ->
  'f6 encoding ->
  'f7 encoding ->
  'f8 encoding ->
  ('f1 * 'f2 * 'f3 * 'f4 * 'f5 * 'f6 * 'f7 * 'f8) encoding

val tup9 :
  'f1 encoding ->
  'f2 encoding ->
  'f3 encoding ->
  'f4 encoding ->
  'f5 encoding ->
  'f6 encoding ->
  'f7 encoding ->
  'f8 encoding ->
  'f9 encoding ->
  ('f1 * 'f2 * 'f3 * 'f4 * 'f5 * 'f6 * 'f7 * 'f8 * 'f9) encoding

val tup10 :
  'f1 encoding ->
  'f2 encoding ->
  'f3 encoding ->
  'f4 encoding ->
  'f5 encoding ->
  'f6 encoding ->
  'f7 encoding ->
  'f8 encoding ->
  'f9 encoding ->
  'f10 encoding ->
  ('f1 * 'f2 * 'f3 * 'f4 * 'f5 * 'f6 * 'f7 * 'f8 * 'f9 * 'f10) encoding

(** Create a large tuple encoding from two smaller ones.
    @raise Invalid_argument if both values are not tuples or if both
    tuples contains a variable field. *)
val merge_tups : 'a1 encoding -> 'a2 encoding -> ('a1 * 'a2) encoding

(** {3 Sum descriptors} *)

(** A partial encoding to represent a case in a variant type.  Hides
    the (existentially bound) type of the parameter to the specific
    case, providing its encoder, and converter functions to and from
    the union type. *)
type 't case

type case_tag = Tag of int | Json_only

(** A sum descriptor can be optimized by providing a specific
   [matching_function] which efficiently determines in which case
   some value of type ['a] falls.

   Note that in general you should use a total function (i.e., one defined
   over the whole of the ['a] type) for the [matching_function]. However, in
   the case where you have a good reason to use a partial function, you should
   raise {!No_case_matched} in the dead branches. Reasons why you may want to
   do so include:
   - ['a] is an open variant and you will complete the matching function
     later, and
   - there is a code invariant that guarantees that ['a] is not fully
     inhabited. *)
type 'a matching_function = 'a -> match_result

and match_result

(** [matched t e u] represents the fact that a value is tagged with [t] and
    carries the payload [u] which can be encoded with [e].

    The optional argument [tag_size] must match the one passed to the
    {!matching} function [matched] is called inside of.

    An example is given in the documentation of {!matching}.

    @raise [Invalid_argument] if [t < 0]

    @raise [Invalid_argument] if [t] does not fit in [tag_size] *)
val matched : ?tag_size:tag_size -> int -> 'a encoding -> 'a -> match_result

(** Encodes a variant constructor. Takes the encoding for the specific
    parameters, a recognizer function that will extract the parameters
    in case the expected case of the variant is being serialized, and
    a constructor function for deserialization.

    The tag must be less than the tag size of the union in which you use the case.
    An optional tag gives a name to a case and should be used to maintain
    compatibility.

    An optional name for the case can be provided, which is used in the binary
    documentation.

    @raise [Invalid_argument] if [case_tag] is [Tag t] with [t < 0] *)
val case :
  title:string ->
  ?description:string ->
  case_tag ->
  'a encoding ->
  ('t -> 'a option) ->
  ('a -> 't) ->
  't case

(** Create a single encoding from a series of cases.

    In JSON, all cases are tried one after the other using the [case list]. The
    caller is responsible for avoiding collisions. If there are collisions
    (i.e., if multiple cases produce the same JSON output) then the encoding
    and decoding processes might not be inverse of each other. In other words,
    [destruct e (construct e v)] may not be equal to [v].

    In binary, a prefix tag is added to discriminate quickly between
    cases. The default is [`Uint8] and you must use a [`Uint16] if
    you are going to have more than 256 cases.

    The matching function is used during binary encoding of a value
    [v] to efficiently determine which of the cases corresponds to
    [v]. The case list is used during decoding to reconstruct a value based on
    the encoded tag. (Decoding is optimised internally: tag look-up has a
    constant cost.)

    The caller is responsible for ensuring that the [matching_function] and the
    [case list] describe the same encoding. If they describe different
    encodings, then the decoding and encoding processes will not be inverses of
    each others. In other words, [of_bytes e (to_bytes e v)] will not be equal
    to [v].

    If you do not wish to be responsible for this, you can use the unoptimised
    {!union} that uses a [case list] only (see below). Beware that in {!union}
    the complexity of the encoding is linear in the number of cases.

    Following: a basic example use. Note that the [matching_function] uses the
    same tags, payload conversions, and payload encoding as the [case list].

{[
type t = A of string | B of int * int | C
let encoding_t =
  (* Tags and payload encodings for each constructors *)
  let a_tag = 0 and a_encoding = string in
  let b_tag = 1 and b_encoding = obj2 (req "x" int) (req "y" int) in
  let c_tag = 2 and c_encoding = unit in
  matching
    (* optimised encoding function *)
    (function
       | A s -> matched a_tag a_encoding s
       | B (x, y) -> matched b_tag b_encoding (x, y)
       | C -> matched c_tag c_encoding ())
    (* decoding case list *)
    [
       case ~title:"A"
         (Tag a_tag)
         a_encoding
         (function A s -> Some s | _ -> None) (fun s -> A s);
       case ~title:"B"
         (Tag b_tag)
         b_encoding
         (function B (x, y) -> Some (x, y) | _ -> None) (fun (x, y) -> B (x, y));
       case ~title:"C"
         (Tag c_tag)
         c_encoding
         (function C -> Some () | _ -> None) (fun () -> C);
    ]
]}

    @raise [Invalid_argument] if it is given an empty [case list]

    @raise [Invalid_argument] if there are more than one [case] with the same
    [tag] in the [case list]

    @raise [Invalid_argument] if there are more cases in the [case list] than
    can fit in the [tag_size] *)
val matching :
  ?tag_size:tag_size -> 't matching_function -> 't case list -> 't encoding

(** Same as matching except that the matching function is
    a linear traversal of the cases.

    @raise [Invalid_argument] if it is given an empty [case list]

    @raise [Invalid_argument] if there are more than one [case] with the same
    [tag] in the [case list]

    @raise [Invalid_argument] if there are more cases in the [case list] than
    can fit in the [tag_size] *)
val union : ?tag_size:tag_size -> 't case list -> 't encoding

(** {3 Specialized descriptors} *)

(** Encode enumeration via association list
    - represented as a string in JSON and
    - represented as an integer representing the element's position
      in the list in binary. The integer size depends on the list size.*)
val string_enum : (string * 'a) list -> 'a encoding

(** Create encodings that produce data of a fixed length when binary encoded.
    See the preamble for an explanation. *)
module Fixed : sig
  (** @raise Invalid_argument if the argument is less or equal to zero. *)
  val string : int -> string encoding

  (** @raise Invalid_argument if the argument is less or equal to zero. *)
  val bytes : int -> bytes encoding

  (** [add_padding e n] is a padded version of the encoding [e]. In Binary,
      there are [n] null bytes ([\000]) added after the value encoded by [e].
      In JSON, padding is ignored.

      @raise Invalid_argument if [n <= 0]. *)
  val add_padding : 'a encoding -> int -> 'a encoding

  (** [list n e] is an encoding for lists of exactly [n] elements. If a list
      of more or fewer elements is provided, then the encoding fails with the
      [write_error List_invalid_length]. For decoding, it can fail with
      [read_error Not_enough_data] or [read_error Extra_bytes], or it may
      cause other failures further down the line when the AST traversal
      becomes out-of-sync with the underlying byte-stream traversal.

      The difference of the errors being used when encoding and decoding is
      because when encoding we have access to the list and we can check the
      actual length, whereas when decoding we only see bytes, sometimes too
      many, sometimes not enough.

      This encoding has a narrow set of possible applications because it is
      very restrictive. Still, it can to:
      - mirror static guarantees about the length of some lists,
      - special-case some common lengths of typical input in a union (see
        example below),
      - other ends.

{[
type expr =
  | Op of string * expr list (* most commonly 1 or 2 operands *)
  | Literal of string
let expr_encoding =
  mu "expr" (fun e ->
    union [
      case ~title:"op-nonary" (Tag 0)
        string
        (function Op (op, []) -> Some op | _ -> None)
        (fun op -> Op (op, []));
      case ~title:"op-unary" (Tag 1)
        (tup2 string (Fixed.list 1 e))
        (function Op (op, ([_]) as operand) -> Some (op, operand) | _ -> None)
        (fun (op, operand) -> Op (op, operand));
      case ~title:"op-binary" (Tag 2)
        (tup2 string (Fixed.list 2 e))
        (function Op (op, ([_;_]) as operand) -> Some (op, operand) | _ -> None)
        (fun (op, operand) -> Op (op, operand));
      case ~title:"op-moreary" (Tag 3)
        (tup2 string (list e))
        (function Op (op, operand) -> Some (op, operand) | _ -> None)
        (fun (op, operand) -> Op (op, operand));
      case ~title:"literal" (Tag 4)
        string
        (function Literal l -> Some l | _ -> None)
        (fun l -> Literal l);
        ]
  )
]}

      Interestingly, the cases for known lengths can be generated
      programmatically.

      @raise Invalid_argument if the argument [n] is less or equal to zero.

      @raise Invalid_argument if the argument [e] is a [`Variable]-size
      encoding or a zero-byte encoding. *)
  val list : int -> 'a encoding -> 'a list encoding

  (** See [list] above.

      @raise Invalid_argument if the argument [n] is less or equal to zero.

      @raise Invalid_argument if the argument [e] is a [`Variable]-size
      encoding or a zero-byte encoding. *)
  val array : int -> 'a encoding -> 'a array encoding
end

(** Create encodings that produce data of a variable length when binary encoded.
    See the preamble for an explanation. *)
module Variable : sig
  val string : string encoding

  val bytes : bytes encoding

  (** @raise Invalid_argument if the encoding argument is variable length
        or may lead to zero-width representation in binary. *)
  val array : ?max_length:int -> 'a encoding -> 'a array encoding

  (** @raise Invalid_argument if the encoding argument is variable length
      or may lead to zero-width representation in binary. *)
  val list : ?max_length:int -> 'a encoding -> 'a list encoding
end

module Bounded : sig
  (** Encoding of a string whose length does not exceed the specified length.
      The size field uses the smallest integer that can accommodate the
      maximum size - e.g., [`Uint8] for very short strings, [`Uint16] for
      longer strings, etc.

      Attempting to construct a string with a length that is too long causes
      an [Invalid_argument] exception. *)
  val string : int -> string encoding

  (** See {!string} above. *)
  val bytes : int -> bytes encoding
end

(** Mark an encoding as being of dynamic size.
    Forces the size to be stored alongside content when needed.
    Typically used to combine two variable encodings in a same
    objects or tuple, or to use a variable encoding in an array or a list. *)
val dynamic_size :
  ?kind:[`Uint30 | `Uint16 | `Uint8] -> 'a encoding -> 'a encoding

(** [check_size size encoding] ensures that the binary encoding
    of a value will not be allowed to exceed [size] bytes. The reader
    and the writer fails otherwise. This function do not modify
    the JSON encoding. *)
val check_size : int -> 'a encoding -> 'a encoding

(** Define different encodings for JSON and binary serialization. *)
val splitted : json:'a encoding -> binary:'a encoding -> 'a encoding

(** Combinator for recursive encodings.

     Notice that the function passed to [mu] must be pure. Otherwise,
     the behavior is unspecified.

     A stateful recursive encoding can still be put under a [delayed]
     combinator to make sure that a new encoding is generated each
     time it is used. Caching the encoding generation when the state
     has not changed is then the responsability of the client.

  *)
val mu :
  string ->
  ?title:string ->
  ?description:string ->
  ('a encoding -> 'a encoding) ->
  'a encoding

(** {3 Documenting descriptors} *)

(** Give a name to an encoding and optionally
      add documentation to an encoding. *)
val def :
  string -> ?title:string -> ?description:string -> 't encoding -> 't encoding

(** See {!lazy_encoding} below.*)
type 'a lazy_t

(** Combinator to have a part of the binary encoding lazily deserialized.
      This is transparent on the JSON side. *)
val lazy_encoding : 'a encoding -> 'a lazy_t encoding

(** Force the decoding (memoized for later calls), and return the
      value if successful. *)
val force_decode : 'a lazy_t -> 'a option

(** Obtain the bytes without actually deserializing.  Will serialize
    and memoize the result if the value is not the result of a lazy
    deserialization. *)
val force_bytes : 'a lazy_t -> bytes

(** Make a lazy value from an immediate one. *)
val make_lazy : 'a encoding -> 'a -> 'a lazy_t

(** Apply on structure of lazy value, and combine results *)
val apply_lazy :
  fun_value:('a -> 'b) ->
  fun_bytes:(bytes -> 'b) ->
  fun_combine:('b -> 'b -> 'b) ->
  'a lazy_t ->
  'b

module Compact : sig
  (** This module provides specialized encoding combinators that are
      implemented to reduce the size of the serialization result.

      The main trick this module relies on is the notion of “shared tags”.
      In [Data_encoding], the [union] combinator uses (at least) one byte
      every time it is used, to “tag” the output and distinguish between
      various disjunction cases. As a consequence, if [n] [union] are
      composed together to define one encoding, (at least) [n] bytes are
      being allocated. However, in practice, only few bits are used in
      each tags, which means the rest is “wasted.”

      As an example, consider this type:

      {[
      type t =
        | T1 of { f1 : int option; f2 : (int, bool) Either.t }
        | T2 of { f3: int }
      ]}

      A value of [t] using the constructor [T1] will be serialized into
      a binary array of this form:

      {v
      ┌────────┬─────────┬─────────────┬─────────┬─────────────┐
      │ tag(t) │ tag(f1) │ payload(f1) │ tag(f2) │ payload(f2) │
      └────────┴─────────┴─────────────┴─────────┴─────────────┘
        1 byte   1 byte    N bytes       1 byte    M bytes
      v}

      Where [tag(f)] is a value used by [Data_encoding] to distinguish
      between several encoding alternatives for [f], and [payload(f)] is
      the resulting binary array.

      For both [option] and [Either.t], the tag of the encoding only uses
      one bit in practice. Which means that for [T1], encoding the pair
      [(f1, f2)] needs two bits, but the default approach of
      [Data_encoding] uses two {i bytes} instead.  Similarly, to
      distinguish between [T1] and [T2] needs one bit, but the default
      approach is to use an additional tag (one additional {i byte}).

      This module provides an approach to tackle this issue, by
      allocating only one tag ({i i.e.}, one byte) that is used to store
      the useful bits to distinguish between the disjunction cases. We
      call this tag the “shared tag” of the encoding. The bits of the
      shared tag describes precisely the layout of the encoded data.

      For instance, considering a compact encoding for [t], the third
      bit of the tag can be used to distinguish between [T1] and [T2].
      In case the third bit is 0, the first bit of the tag determines
      the case of [option], and the second the case of [Either.t].

      As a consequence the resulting binary array for the constructor
      [T1] is, using
      - [_] to represent meaningless bits,
      - [0] and [1] to represent actual bit values,
      - [e] to represent the bit used to distinguish the [Either] case of [f2], and
      - [o] to represent the bit used to distinguish the [Option] case of [f1]:

      {v
      ┌──────────┬─────────────┬─────────────┐
      │ _____0eo │ payload(f1) │ payload(f2) │
      └──────────┴─────────────┴─────────────┘
        1 byte     N bytes       M bytes
      v}

      while the resulting binary array for the constructor [T2] is

      {v
      ┌──────────┬─────────────┐
      │ _____100 │ payload(f3) │
      └──────────┴─────────────┘
        1 byte     N bytes
      v} *)

  (** The description of a compact encoding. *)
  type 'a t

  (** Turn a compact encoding into a regular {!Data_encoding.t}.

      @param tag_size controls the size of the tag used to discriminate the
      values. Note that in data-encoding, all the writes and reads are byte
      aligned so the tag must fit in either 0 ([`Uint0]), 1 ([`Uint8]), or 2
      ([`Uint16]) bytes.

      The default is [`Uint0], i.e., no tag at all. This is can only represent
      values which use 0 bits of tags.

      It is recommended to set the [tag_size] explicitly.

      @raise Invalid_argument if the shared tags cannot fit in [tag_size]
      space. *)
  val make : ?tag_size:[`Uint0 | `Uint8 | `Uint16] -> 'a t -> 'a encoding

  (** [tag_bit_count c] is the number of bits of tag that a compact encoding
      uses. *)
  val tag_bit_count : 'a t -> int

  (** {1 Combinators} *)

  (** Similarly to [Data_encoding], we provide various combinators to
      compose compact encoding together. *)

  (** {2 Base types} *)

  (** A type with no inhabitant. *)
  type void

  (** A compact encoding used to denote an impossible case inside of
      conjunction operators such as [union].

      Uses 0 bit of tag. *)
  val void : void t

  (** [refute x] can be used to refute a branch of a [match] which
      exhibits a value of type [void]. *)
  val refute : void -> 'a

  (** A compact encoding of the singleton value [unit], which has zero
      memory footprint.

      Uses zero (0) bits of tag. *)
  val unit : unit t

  (** Efficient encoding of boolean values. It uses one (1) bit in the
      shared tag, and zero bit in the payload. *)
  val bool : bool t

  (** [payload encoding] unconditionally uses [encoding] in the
      payload, and uses zero (0) bit in the shared tag. *)
  val payload : 'a encoding -> 'a t

  (** Uses one (1) bit in the tag to encode an option. *)
  val option : 'a t -> 'a option t

  (** {2 Conversion} *)

  (** [conv ?json f g e] reuses the encoding [e] for type [b] to encode
      a type [a] using the isomorphism [(f, g)]. The optional argument
      allows to overwrite the encoding used for JSON, in place of the
      one computed by default. *)
  val conv : ?json:'a encoding -> ('a -> 'b) -> ('b -> 'a) -> 'b t -> 'a t

  (** {2 Conjunctions} *)

  (** [tup1 e] wraps the underlying encoding of [e] in a [tup1] (from the
      parent module). This is only useful in that, provided you use
      [make ~tag_size:`Uint0] to translate the returned compact encoding, it
      allows you to call [merge_tups] on it.

      Uses as many bits of tag as [e]. *)
  val tup1 : 'a t -> 'a t

  (** [tup2 e1 e2] concatenates the shared tags and payloads of [e1] and
      [e2].

      Uses as many bits of tags as the sum of the tags used by its arguments. *)
  val tup2 : 'a t -> 'b t -> ('a * 'b) t

  (** [tup3 e1 e2 e3] concatenates the shared tags and payloads of [e1],
      [e2], and [e3].

      Uses as many bits of tags as the sum of the tags used by its arguments. *)
  val tup3 : 'a t -> 'b t -> 'c t -> ('a * 'b * 'c) t

  (** [tup4 e1 e2 e3 e4] concatenates the shared tags and payloads of
      [e1], [e2], [e3] and [e4].

      Uses as many bits of tags as the sum of the tags used by its arguments. *)
  val tup4 : 'a t -> 'b t -> 'c t -> 'd t -> ('a * 'b * 'c * 'd) t

  val tup5 :
    'f1 t -> 'f2 t -> 'f3 t -> 'f4 t -> 'f5 t -> ('f1 * 'f2 * 'f3 * 'f4 * 'f5) t

  val tup6 :
    'f1 t ->
    'f2 t ->
    'f3 t ->
    'f4 t ->
    'f5 t ->
    'f6 t ->
    ('f1 * 'f2 * 'f3 * 'f4 * 'f5 * 'f6) t

  val tup7 :
    'f1 t ->
    'f2 t ->
    'f3 t ->
    'f4 t ->
    'f5 t ->
    'f6 t ->
    'f7 t ->
    ('f1 * 'f2 * 'f3 * 'f4 * 'f5 * 'f6 * 'f7) t

  val tup8 :
    'f1 t ->
    'f2 t ->
    'f3 t ->
    'f4 t ->
    'f5 t ->
    'f6 t ->
    'f7 t ->
    'f8 t ->
    ('f1 * 'f2 * 'f3 * 'f4 * 'f5 * 'f6 * 'f7 * 'f8) t

  val tup9 :
    'f1 t ->
    'f2 t ->
    'f3 t ->
    'f4 t ->
    'f5 t ->
    'f6 t ->
    'f7 t ->
    'f8 t ->
    'f9 t ->
    ('f1 * 'f2 * 'f3 * 'f4 * 'f5 * 'f6 * 'f7 * 'f8 * 'f9) t

  val tup10 :
    'f1 t ->
    'f2 t ->
    'f3 t ->
    'f4 t ->
    'f5 t ->
    'f6 t ->
    'f7 t ->
    'f8 t ->
    'f9 t ->
    'f10 t ->
    ('f1 * 'f2 * 'f3 * 'f4 * 'f5 * 'f6 * 'f7 * 'f8 * 'f9 * 'f10) t

  type 'a field

  (** [req "f" compact] can be used in conjunction with [objN] to create
      compact encoding with more readable JSON encoding, as an
      alternative of [tupN]. The JSON output is a dictionary which
      contains the field [f] with a value encoded using [compact]. *)
  val req : string -> 'a t -> 'a field

  (** Same as {!req}, but the field is optional.

      An [objN] compact encoding uses as many bits of tags as its number of
      [opt] fields. *)
  val opt : string -> 'a t -> 'a option field

  (** [obj1] can be used in conjunction with [req] or [opt] to produce
      more readable JSON outputs.

      Uses as many bits of tags as there are [opt] fields in its arguments. *)
  val obj1 : 'a field -> 'a t

  (** An alternative to [tup2] which can be used in conjunction with
      {!req} and {!opt} to produce more readable JSON outputs based on
      dictionary.

      Uses as many bits of tags as there are [opt] fields in its arguments. *)
  val obj2 : 'a field -> 'b field -> ('a * 'b) t

  (** An alternative to [tup3] which can be used in conjunction with
      {!req} and {!opt} to produce more readable JSON outputs based on
      dictionary.

      Uses as many bits of tags as there are [opt] fields in its arguments. *)
  val obj3 : 'a field -> 'b field -> 'c field -> ('a * 'b * 'c) t

  (** An alternative to [tup4] which can be used in conjunction with
      {!req} and {!opt} to produce more readable JSON outputs based on
      dictionary.

      Uses as many bits of tags as there are [opt] fields in its arguments. *)
  val obj4 :
    'a field -> 'b field -> 'c field -> 'd field -> ('a * 'b * 'c * 'd) t

  val obj5 :
    'f1 field ->
    'f2 field ->
    'f3 field ->
    'f4 field ->
    'f5 field ->
    ('f1 * 'f2 * 'f3 * 'f4 * 'f5) t

  val obj6 :
    'f1 field ->
    'f2 field ->
    'f3 field ->
    'f4 field ->
    'f5 field ->
    'f6 field ->
    ('f1 * 'f2 * 'f3 * 'f4 * 'f5 * 'f6) t

  val obj7 :
    'f1 field ->
    'f2 field ->
    'f3 field ->
    'f4 field ->
    'f5 field ->
    'f6 field ->
    'f7 field ->
    ('f1 * 'f2 * 'f3 * 'f4 * 'f5 * 'f6 * 'f7) t

  val obj8 :
    'f1 field ->
    'f2 field ->
    'f3 field ->
    'f4 field ->
    'f5 field ->
    'f6 field ->
    'f7 field ->
    'f8 field ->
    ('f1 * 'f2 * 'f3 * 'f4 * 'f5 * 'f6 * 'f7 * 'f8) t

  val obj9 :
    'f1 field ->
    'f2 field ->
    'f3 field ->
    'f4 field ->
    'f5 field ->
    'f6 field ->
    'f7 field ->
    'f8 field ->
    'f9 field ->
    ('f1 * 'f2 * 'f3 * 'f4 * 'f5 * 'f6 * 'f7 * 'f8 * 'f9) t

  val obj10 :
    'f1 field ->
    'f2 field ->
    'f3 field ->
    'f4 field ->
    'f5 field ->
    'f6 field ->
    'f7 field ->
    'f8 field ->
    'f9 field ->
    'f10 field ->
    ('f1 * 'f2 * 'f3 * 'f4 * 'f5 * 'f6 * 'f7 * 'f8 * 'f9 * 'f10) t

  (** A compact encoding for [int32] values. It uses 2 bits in the
      shared tag, to determine how many bytes are used in the payload:

      {ul {li [00]: from 0 to 255, one byte.}
          {li [01]: from 256 to 65,535, two bytes.}
          {li [10]: from 65,536 to [Int32.max_int] and for negative values, four bytes.}}

      Note that by itself, this compact encoding is not necessarily more
      economical in space. However, in combination with other compact
      encodings (say, when you have two bits of tag to spare anyway) or given
      a very skewed distribution of values (say, when the vast majority of
      your values are in the 0–255 interval), then it can help you save some
      space.

      Uses two (2) bits of tag. *)
  val int32 : int32 t

  (** A compact encoding for [int64] values. It uses 2 bits in the
      shared tag, to determine how many bytes are used in the payload:

      {ul {li [00]: from 0 to 255, one byte.}
          {li [01]: from 256 to 65,535, two bytes.}
          {li [10]: from 65,536 to 4,294,967,295 four bytes.}
          {li [11]: from 4,294,967,295 and for negative values eight bytes.}}

      See {!int32} for usage recommendations.

      Uses two (2) bits of tag. *)
  val int64 : int64 t

  (** [list ~bits:n encoding] uses [n] bits in the shared tag to encode the
      size of small lists.

      For instance, [list ~bits:2 encoding],

      {ul {li [00]: the payload is empty, because it is the empty list}
          {li [01]: the singleton list, whose element is encoded using
              [encoding].}
          {li [10]: a list of two elements encoded with [encoding]}
          {li [11]: a list of more than two elements, prefixed with its
              encoded size (i.e., the number of bytes it takes to represent
              the whole value) (which uses 4 bytes)}}

      With [~bits:3], lists of 0 to 6 items are encoded with tags [000] to
      [110], and lists of 7 or more are encoded with tag [111] and the
      length.

      Uses [n] bits of tags. *)
  val list : bits:int -> 'a encoding -> 'a list t

  (** {2 Disjunctions} *)

  type 'a case

  (** Usage: [case name encode decode encoding]

      Intended to be used inside a [union]. *)
  val case :
    title:string ->
    ?description:string ->
    'b t ->
    ('a -> 'b option) ->
    ('b -> 'a) ->
    'a case

  (** [union cases] creates a new compact encoding to encompass a
      disjunction of cases.

      The value uses some tag bits to distinguish the different cases of the
      union (see discussion of parameter [union_tag_bits]) and some tag bits
      (potentially 0) to distinguish the values within a case (see discussion
      of parameter [cases_tag_bits]).

      E.g., Given [type t = A of bool | B of int option] and the encoding
      {v
      let c =
        union [
          case "A" (function A b -> Some b | _ -> None) (fun b -> A b) bool;
          case "B" (function B i -> Some i | _ -> None) (fun i -> B b) (option (payload int));
      in
      make ~tag_size:`Uint8 c
      v}
      then a value can have either of the following 4 tags:
      - 0b00000000: case [A], [false]
      - 0b00000001: case [A], [true]
      - 0b00000010: case [B], [Some] (a payload of 4 bytes follows)
      - 0b00000011: case [B], [None]

      In other words, the second bit of this tag is used to discriminate the
      cases of the union, whilst the first bit is used to discriminate within
      each case.

      Note that the compact union can be combined with more compact encoding
      before being passed to [make] in which case the two bits of tags will be
      combined with the tags of the other compact encodings. E.g.,
      [make ~tag_size:`Uint8 (tup2 c c)].

      @param union_tag_bits is the number of bits used to distinguish the
      different cases of the union. For example, if the union has 4 cases
      (i.e., if [List.length cases = 4]) then you can use [~union_tag_bits:2].

      If not provided explicitly, [union_tag_bits] is inferred: it is set to
      the smallest value which can accommodate the provided [cases].

      It is recommended to set [union_tag_bits] explicitly.

      You can over-provision the [union_tag_bits] if you expect the
      [cases] to grow in the future.

      @raise Invalid_argument if the value passed for [union_tag_bits] is not
      sufficient to distinguish between the [cases].

      @param cases_tag_bits is the number of bits that each of the [cases] can
      use. This is only useful if the cases use more than 0 bits of tag.

      It is recommended to set [cases_tag_bits] explicitly if you need the
      layout to be stable even if the [cases] or one of its element changes.

      You can over-provision the [cases_tag_bits] if you expect one of the
      cases to change to use more bits of tag or if you expect that a new case
      using more tag bits will be added in the future.

      E.g., passing [~cases_tag_bits:7] to the [union] in the example above
      will cause the values to be represented as follows:
      - 0b00000000: case [A], [false]
      - 0b00000001: case [A], [true]
      - 0b10000000: case [B], [Some] (a payload of 4 bytes follows)
      - 0b10000001: case [B], [None]

      @raise Invalid_argument if one of the elements of [cases] needs more
      than [cases_tag_bits] bits of tag.

      E.g., [union ~cases_tag_bits:0 [case "Bool" Option.some Fun.id bool]]
      raises [Invalid_argument] because {!bool} uses one bit of tag which is
      more than [0].

      @raise Invalid_argument if [cases] is empty. *)
  val union : ?union_tag_bits:int -> ?cases_tag_bits:int -> 'a case list -> 'a t

  (** [void_case ~title] is an impossible case. It is provided so you can add
      unused tags within a union. E.g.,
      [union [case _; void_case ~title:"reserved-for-v04-compatibility"; case _; case _]]
      uses two bits of tag for the discrimination of the union,
      but the tag [01] is unused (reserved for some version compatibility). *)
  val void_case : title:string -> 'a case

  (** [or_int32 ~i32_title ~alt_title ?alt_description c] creates a new
      compact encoding for the disjunction of
      any type [a] (see {!val-case}) with [int32]. It uses the same number
      of bits as {!int32}, that is 2, and uses the spare tag ([11]) within
      this size for values of type [a].

      @param i32_title is used as a prefix to each of the int32 cases' title.

      @param alt_title is used as the title of the alt case. (See {!val-case} and
      {!union} for details.)

      @param alt_description is used as the description of the alternate case.
      (See {!val-case} and {!union} for details.) *)
  val or_int32 :
    int32_title:string ->
    alt_title:string ->
    ?alt_description:string ->
    'a encoding ->
    (int32, 'a) Either.t t

  (** {1 Custom} *)

  (** This module can be used to write compact encoding for complex types
      without relying on the existing combinators. *)
  module Custom : sig
    type tag = int

    (** Combine multiple tags; will throw an error if the total length of
        the tags is more than 16. *)
    val join_tags : (tag * int) list -> tag

    module type S = sig
      (** The type of [input] this module allows to encode. *)
      type input

      (** The various ways to efficiently encode [input]. *)
      type layout

      (** The list of layouts available to encode [input]. *)
      val layouts : layout list

      (** The number of bits necessary to distinguish between the various
          layouts. *)
      val tag_len : int

      (** [tag layout] computes the tag of {!Data_encoding.union} to be
          used to encode values classified as [layout].

          {b Warning:} It is expected that [tag layout < 2^tag_len - 1]. *)
      val tag : layout -> tag

      (** [partial_encoding layout] returns the encoding to use for values
          classified as [layout].

          This encoding can be partial in the sense that it may fail (it
          will raise an [Invalid_argument]) for some values of [x].
          However, it is expected that [partial_encoding (classify x) x]
          will always succeed. *)
      val partial_encoding : layout -> input encoding

      (** [classify x] returns the layout to be used to encode [x]. *)
      val classify : input -> layout

      (** The encoding to use when targeting a JSON output. *)
      val json_encoding : input encoding
    end

    (** [make (module M)] is a compact encoding for the type of [M.input].

        The JSON representation is entirely determined by [M.json_encoding].

        The binary representation is determined as follows.
        - A value [v : M.input] is classified into a layout [l] by [M.classify v].
        - A tag [M.tag l] is used (which may be combined with the tags of other
          compact encodings as described before).
        - The payload is the same bytes as can be found in the string returned by
          [Data_encoding.Binary.to_string (M.partial_encoding l) v].

        In other words, the tag of a value is [M.(tag (layout v))] and the payload
        of a value is [M.(partial_encoding (layout v) v)].

        It is the user's responsibility to ensure that all the values of [M]
        follow the invariants documented in {!module-type-S}. *)
    val make : (module S with type input = 'a) -> 'a t
  end
end

type 'a compact = 'a Compact.t

val json : json encoding

val json_schema : json_schema encoding

module Json : sig
  val schema : ?definitions_path:string -> 'a encoding -> json_schema

  (** Construct a JSON object from an encoding. *)
  val construct :
    ?include_default_fields:[`Always | `Auto | `Never] ->
    't encoding ->
    't ->
    json

  (** Destruct a JSON object into a value.
      Fail with an exception if the JSON object and encoding do not match.

      @param [bson_relaxation] (default to [false]) works around a limitation of
      the BSON format. Specifically, in BSON, top-level arrays are represented as
      number-indexed objects. When [bson_relaxation] is [true], then the
      destructor attempts to automatically translate the indistinguishable
      values as guided by the encoding. *)
  val destruct : ?bson_relaxation:bool -> 't encoding -> json -> 't

  (** JSON Error *)

  type path = path_item list

  (** A set of accessors that point to a location in a JSON object. *)
  and path_item =
    [ `Field of string  (** A field in an object. *)
    | `Index of int  (** An index in an array. *)
    | `Star  (** Any / every field or index. *)
    | `Next  (** The next element after an array. *) ]

  (** Exception raised by destructors, with the location in the original
      JSON structure and the specific error. *)
  exception Cannot_destruct of (path * exn)

  (** Unexpected kind of data encountered, with the expectation. *)
  exception Unexpected of string * string

  (** Some {!val:union} couldn't be destructed, with the reasons for each {!val:case}. *)
  exception No_case_matched of exn list

  (** Array of unexpected size encountered, with the expectation. *)
  exception Bad_array_size of int * int

  (** Missing field in an object. *)
  exception Missing_field of string

  (** Supernumerary field in an object. *)
  exception Unexpected_field of string

  val print_error :
    ?print_unknown:(Format.formatter -> exn -> unit) ->
    Format.formatter ->
    exn ->
    unit

  (** Helpers for writing encoders. *)
  val cannot_destruct : ('a, Format.formatter, unit, 'b) format4 -> 'a

  val wrap_error : ('a -> 'b) -> 'a -> 'b

  val pp : Format.formatter -> json -> unit
end

module Binary : sig
  (** Compute the expected length of the binary representation of a value.

      @raise Write_error in case some size/length invariants are broken.
   *)
  val length : 'a encoding -> 'a -> int

  (** Returns the size of the binary representation that the given
      encoding might produce, only when this size does not depends of the value
      itself.

      E.g., [fixed_length (tup2 int64 (Fixed.string 2))] is [Some _]

      E.g., [fixed_length (result int64 (Fixed.string 2))] is [None]

      E.g., [fixed_length (list (tup2 int64 (Fixed.string 2)))] is [None] *)
  val fixed_length : 'a encoding -> int option

  (** Returns the maximum size of the binary representation that the given
      encoding might produce, only when this maximum size does not depends of
      the value itself.

      E.g., [maximum_length (tup2 int64 (Fixed.string 2))] is [Some _]

      E.g., [maximum_length (result int64 (Fixed.string 2))] is [Some _]

      E.g., [maximum_length (list (tup2 int64 (Fixed.string 2)))] is [None]

      Note that the function assumes that recursive encodings (build using [mu])
      are used for recursive data types. As a result, [maximum_length] will
      return [None] if given a recursive encoding.

      If there are static guarantees about the maximum size of the
      representation for values of a given type, you can wrap your encoding in
      [check_size]. This will cause [maximum_length] to return [Some _]. *)
  val maximum_length : 'a encoding -> int option

  val of_bytes_opt : 'a encoding -> bytes -> 'a option

  val of_string_opt : 'a encoding -> string -> 'a option

  val to_bytes_opt : ?buffer_size:int -> 'a encoding -> 'a -> bytes option

  (** [to_bytes_exn enc v] is equivalent to [to_bytes enc v], except

      @raise [Write_error] instead of returning [None] in case of error. *)
  val to_bytes_exn : ?buffer_size:int -> 'a encoding -> 'a -> bytes

  val to_string_opt : ?buffer_size:int -> 'a encoding -> 'a -> string option

  (** @raise [Write_error] instead of returning [None] in case of error. *)
  val to_string_exn : ?buffer_size:int -> 'a encoding -> 'a -> string
end
end
# 32 "v5.in.ml"


  module Raw_hashes : sig
# 1 "v5/raw_hashes.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

val blake2b : bytes -> bytes

val sha256 : bytes -> bytes

val sha512 : bytes -> bytes

val keccak256 : bytes -> bytes

val sha3_256 : bytes -> bytes

val sha3_512 : bytes -> bytes
end
# 34 "v5.in.ml"


  module Compare : sig
# 1 "v5/compare.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(* Copyright (c) 2021 Nomadic Labs <contact@nomadic-labs.com>                *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** {1 [Compare]}

    Monomorphic comparison for common ground types and common type constructors.

    [Compare] provides a module signature for the standard comparison functions
    and operators as well as modules of that signature for the common OCaml
    ground types ([int], [bool], etc.) and type constructors ([list], [option],
    etc.).

    [Compare] also provides some additional helpers for comparison-related
    tasks. *)

(** {2 Signatures and a functor} *)

(** [COMPARABLE] is a signature for basic comparison. It is used only for
    instantiating full comparison modules of signature {!module-type-S} via the
    functor {!Make}. *)
module type COMPARABLE = sig
  type t

  val compare : t -> t -> int
end

(** [S] is a signature for a fully-fledge comparison module. It includes all the
    functions and operators derived from a [compare] function. *)
module type S = sig
  type t

  (** [x = y] iff [compare x y = 0] *)
  val ( = ) : t -> t -> bool

  (** [x <> y] iff [compare x y <> 0] *)
  val ( <> ) : t -> t -> bool

  (** [x < y] iff [compare x y < 0] *)
  val ( < ) : t -> t -> bool

  (** [x <= y] iff [compare x y <= 0] *)
  val ( <= ) : t -> t -> bool

  (** [x >= y] iff [compare x y >= 0] *)
  val ( >= ) : t -> t -> bool

  (** [x > y] iff [compare x y > 0] *)
  val ( > ) : t -> t -> bool

  (** [compare] an alias for the functor parameter's [compare] function *)
  val compare : t -> t -> int

  (** [equal x y] iff [compare x y = 0] *)
  val equal : t -> t -> bool

  (** [max x y] is [x] if [x >= y] otherwise it is [y] *)
  val max : t -> t -> t

  (** [min x y] is [x] if [x <= y] otherwise it is [y] *)
  val min : t -> t -> t
end

module Make (P : COMPARABLE) : S with type t := P.t

(** {2 Base types}

    The specialised comparison and all the specialised functions and operators
    on the base types are compatible with the polymorphic comparison and all the
    polymorphic functions and operators from the {!Stdlib}. *)

module Char : S with type t = char

module Bool : S with type t = bool

(** [Int] is a comparison module. Out of performance concerns, the signature
    actually contains compiler builtins ([external]) rather than [val]. *)
module Int : sig
  type t = int

  external ( = ) : int -> int -> bool = "%equal"

  external ( <> ) : int -> int -> bool = "%notequal"

  external ( < ) : int -> int -> bool = "%lessthan"

  external ( > ) : int -> int -> bool = "%greaterthan"

  external ( <= ) : int -> int -> bool = "%lessequal"

  external ( >= ) : int -> int -> bool = "%greaterequal"

  external compare : int -> int -> int = "%compare"

  val max : int -> int -> int

  val min : int -> int -> int

  external equal : int -> int -> bool = "%equal"
end

module Int32 : S with type t = int32

module Uint32 : S with type t = int32

module Int64 : S with type t = int64

module Uint64 : S with type t = int64

module String : S with type t = string

module Bytes : S with type t = bytes

(** [Z] is a comparison module for Zarith numbers. *)
module Z : S with type t = Z.t

(** {2 Type constructors}

    Provided the functor argument(s) are compatible with the polymorphic
    comparison of the {!Stdlib}, then the specialised comparison and all the
    specialised functions and operators on the derived types are compatible with
    the polymorphic comparison and all the polymorphic functions and operators
    from the {!Stdlib}. *)

module List (P : COMPARABLE) : S with type t = P.t list

module Option (P : COMPARABLE) : S with type t = P.t option

module Result (Ok : COMPARABLE) (Error : COMPARABLE) :
  S with type t = (Ok.t, Error.t) result

(** {2 List lengths}

    Helpers for more readable {!Stdlib.List.compare_lengths} and
    {!Stdlib.List.compare_length_with}.

    These modules are intended to be used as [Module.(expression)], most often
    within an [if] condition. E.g.,

{[
if Compare.List_length_with.(chunks > max_number_of_chunks) then
   raise Maximum_size_exceeeded
else
   ..
]}
    *)

module List_length_with : sig
  (** [Compare.List_length_with.(l = n)] iff [l] is of length [n]. In other
      words iff [Stdlib.List.compare_length_with l n = 0]. Note that, like
      [compare_length_with], this comparison does not explore the list [l]
      beyond its [n]-th element. *)
  val ( = ) : 'a list -> int -> bool

  (** [Compare.List_length_with.(l <> n)] iff [l] is not of length [n]. In other
      words iff [Stdlib.List.compare_length_with l n <> 0]. Note that, like
      [compare_length_with], this comparison does not explore the list [l]
      beyond its [n]-th element. *)
  val ( <> ) : 'a list -> int -> bool

  (** [Compare.List_length_with.(l < n)] iff [l] is of length strictly less than
      [n]. In other words iff [Stdlib.List.compare_length_with l n < 0]. Note
      that, like [compare_length_with], this comparison does not explore the
      list [l] beyond its [n]-th element. *)
  val ( < ) : 'a list -> int -> bool

  (** [Compare.List_length_with.(l <= n)] iff [l] is of length less than [n]. In
      other words iff [Stdlib.List.compare_length_with l n <= 0]. Note that,
      like [compare_length_with], this comparison does not explore the list [l]
      beyond its [n]-th element. *)
  val ( <= ) : 'a list -> int -> bool

  (** [Compare.List_length_with.(l >= n)] iff [l] is of length greater than [n].
      In other words iff [Stdlib.List.compare_length_with l n >= 0]. Note that,
      like [compare_length_with], this comparison does not explore the list [l]
      beyond its [n]-th element. *)
  val ( >= ) : 'a list -> int -> bool

  (** [Compare.List_length_with.(l > n)] iff [l] is of length strictly greater
      than [n]. In other words iff [Stdlib.List.compare_length_with l n > 0].
      Note that, like [compare_length_with], this comparison does not explore
      the list [l] beyond its [n]-th element. *)
  val ( > ) : 'a list -> int -> bool

  (** [Compare.List_length_with.compare] is an alias for
      [Stdlib.List.compare_length_with]. *)
  val compare : 'a list -> int -> int

  (** [Compare.List_length_with.equal] is an alias for
      [Compare.List_length_with.( = )]. *)
  val equal : 'a list -> int -> bool
end

module List_lengths : sig
  (** [Compare.List_lengths.(xs = ys)] iff [xs] and [ys] have the same length.
      In other words, iff [Stdlib.List.compare_lengths xs ys = 0]. Note that,
      like [compare_lengths], this comparison only explores the lists up to the
      length of the shortest one. *)
  val ( = ) : 'a list -> 'b list -> bool

  (** [Compare.List_lengths.(xs <> ys)] iff [xs] and [ys] have different
      lengths. In other words, iff [Stdlib.List.compare_lengths xs ys <> 0].
      Note that, like [compare_lengths], this comparison only explores the lists
      up to the length of the shortest one. *)
  val ( <> ) : 'a list -> 'b list -> bool

  (** [Compare.List_lengths.(xs < ys)] iff [xs] is strictly shorter than [ys].
      In other words, iff [Stdlib.List.compare_lengths xs ys < 0]. Note that,
      like [compare_lengths], this comparison only explores the lists up to the
      length of the shortest one. *)
  val ( < ) : 'a list -> 'b list -> bool

  (** [Compare.List_lengths.(xs <= ys)] iff [xs] is shorter than [ys].
      In other words, iff [Stdlib.List.compare_lengths xs ys <= 0]. Note that,
      like [compare_lengths], this comparison only explores the lists up to the
      length of the shortest one. *)
  val ( <= ) : 'a list -> 'b list -> bool

  (** [Compare.List_lengths.(xs >= ys)] iff [xs] is longer than [ys].
      In other words, iff [Stdlib.List.compare_lengths xs ys >= 0]. Note that,
      like [compare_lengths], this comparison only explores the lists up to the
      length of the shortest one. *)
  val ( >= ) : 'a list -> 'b list -> bool

  (** [Compare.List_lengths.(xs > ys)] iff [xs] is strictly longer than [ys].
      In other words, iff [Stdlib.List.compare_lengths xs ys > 0]. Note that,
      like [compare_lengths], this comparison only explores the lists up to the
      length of the shortest one. *)
  val ( > ) : 'a list -> 'b list -> bool

  (** [Compare.List_lengths.compare] is an alias for
      [Stdlib.List.compare_lengths]. *)
  val compare : 'a list -> 'b list -> int

  (** [Compare.List_lengths.equal] is an alias for
      [Compare.List_lengths.( = )]. *)
  val equal : 'a list -> 'b list -> bool
end

(** {2 Building blocks} *)

(** [or_else c f] is [c] if [c <> 0] or [f ()] otherwise.

    The intended use is
{[
let compare (foo_a, bar_a) (foo_b, bar_b) =
  or_else (Foo.compare foo_a foo_b) (fun () -> Bar.compare bar_a bar_b)
]}
*)
val or_else : int -> (unit -> int) -> int
end
# 36 "v5.in.ml"


  module Time : sig
# 1 "v5/time.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

type t

include Compare.S with type t := t

val add : t -> int64 -> t

val diff : t -> t -> int64

val of_seconds : int64 -> t

val to_seconds : t -> int64

val of_notation : string -> t option

val of_notation_exn : string -> t

val to_notation : t -> string

val encoding : t Data_encoding.t

val rfc_encoding : t Data_encoding.t

val pp_hum : Format.formatter -> t -> unit
end
# 38 "v5.in.ml"


  module TzEndian : sig
# 1 "v5/tzEndian.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2019 Nomadic Labs, <contact@nomadic-labs.com>               *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

val get_int32 : bytes -> int -> int32

val get_int32_string : string -> int -> int32

val set_int32 : bytes -> int -> int32 -> unit

val set_int8 : bytes -> int -> int -> unit

val get_int8 : bytes -> int -> int

val get_int8_string : string -> int -> int

val set_int16 : bytes -> int -> int -> unit

val get_int16 : bytes -> int -> int

val get_int16_string : string -> int -> int

val set_int64 : bytes -> int -> int64 -> unit

val get_int64 : bytes -> int -> int64

val get_int64_string : string -> int -> int64

val get_uint8 : bytes -> int -> int

val get_uint8_string : string -> int -> int

val set_uint8 : bytes -> int -> int -> unit

val get_uint16 : bytes -> int -> int

val get_uint16_string : string -> int -> int

val set_uint16 : bytes -> int -> int -> unit
end
# 40 "v5.in.ml"


  module Bits : sig
# 1 "v5/bits.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2021 Nomadic Labs. <contact@nomadic-labs.com>               *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** Assuming [x >= 0], [numbits x] is the number of bits needed to
    represent [x]. This is also the unique [k] such that
    [2^{k - 1} <= x < 2^k] if [x > 0] and [0] otherwise.

    The behaviour is unspecified if [x < 0].*)
val numbits : int -> int
end
# 42 "v5.in.ml"


  module Equality_witness : sig
# 1 "v5/equality_witness.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2021 Nomadic Labs. <contact@nomadic-labs.com>               *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(**

   This module provides support for type equalities and runtime type identifiers.

   For two types [a] and [b], [(a, b) eq] is a witness that [a = b]. This is
   a standard generalized algebraic datatype on top of which type-level
   programming techniques can be implemented.

   Given a type [a], an inhabitant of [a t] is a dynamic identifier for [a].
   Identifiers can be compared for equality. They are also equipped with a
   hash function.

   WARNING: the hash function changes at every run. Therefore, the result
   of the hash function should never be stored.

   Notice that dynamic identifiers are not unique: two identifiers for [a]
   can have distinct hash and can be physically distinct. Hence, only [eq]
   can decide if two type identifiers correspond to the same type.

*)

(** A proof witness that two types are equal. *)
type (_, _) eq = Refl : ('a, 'a) eq

(** A dynamic representation for ['a]. *)
type 'a t

(** [make ()] is a dynamic representation for ['a]. A fresh identifier
   is returned each time [make ()] is evaluated. *)
val make : unit -> 'a t

(** [eq ida idb] returns a proof that [a = b] if [ida] and [idb]
   identify the same type. *)
val eq : 'a t -> 'b t -> ('a, 'b) eq option

(** [hash id] returns a hash for [id]. *)
val hash : 'a t -> int
end
# 44 "v5.in.ml"


  module FallbackArray : sig
# 1 "v5/fallbackArray.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2021 Nomadic Labs <contact@nomadic-labs.com>                *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(**

   This module implements arrays equipped with accessors that cannot
   raise exceptions. Reading out of the bounds of the arrays return a
   fallback value fixed at array construction time, writing out of the
   bounds of the arrays is ignored.

*)

(** The type for array containing values of type ['a]. *)
type 'a t

(** [make len v] builds an array [a] initialized [len] cells with
   [v]. The value [v] is the fallback value for [a]. *)
val make : int -> 'a -> 'a t

(** [of_list ~fallback ~proj l] builds a fallback array [a] of length
    [List.length l] where each cell [i] is initialized by [proj (List.nth l i)]
    and the fallback value is [fallback]. *)
val of_list : fallback:'b -> proj:('a -> 'b) -> 'a list -> 'b t

(** [fallback a] returns the fallback value for [a]. *)
val fallback : 'a t -> 'a

(** [length a] returns the length of [a]. *)
val length : 'a t -> int

(** [get a idx] returns the contents of the cell of index [idx] in
   [a]. If [idx] < 0 or [idx] >= [length a], [get a idx] =
   [fallback a]. *)
val get : 'a t -> int -> 'a

(** [set a idx value] updates the cell of index [idx] with [value].
    If [idx] < 0 or [idx] >= [length a], [a] is unchanged. *)
val set : 'a t -> int -> 'a -> unit

(** [iter f a] iterates [f] over the cells of [a] from the
   cell indexed [0] to the cell indexed [length a - 1]. *)
val iter : ('a -> unit) -> 'a t -> unit

(** [map f a] computes a new array obtained by applying [f] to each
   cell contents of [a]. Notice that the fallback value of the new
   array is [f (fallback a)]. *)
val map : ('a -> 'b) -> 'a t -> 'b t

(** [fold f a init] traverses [a] from the cell indexed [0] to the
   cell indexed [length a - 1] and transforms [accu] into [f accu x]
   where [x] is the content of the cell under focus. [accu] is
   [init] on the first iteration. *)
val fold : ('b -> 'a -> 'b) -> 'a t -> 'b -> 'b

(** [fold_map f a init fallback] traverses [a] from the cell indexed
   [0] to the cell indexed [length a - 1] and transforms [accu] into
   [fst (f accu x)] where [x] is the content of the cell under
   focus. [accu] is [init] on the first iteration. The function also
   returns a fresh array containing [snd (f accu x)] for each [x].
   [fallback] is required to initialize a fresh array before it can be
   filled. *)
val fold_map : ('b -> 'a -> 'b * 'c) -> 'a t -> 'b -> 'c -> 'b * 'c t
end
# 46 "v5.in.ml"


  module Error_monad : sig
# 1 "v5/error_monad.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(* Copyright (c) 2020 Nomadic Labs <contact@nomadic-labs.com>                *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

type error_category = [`Branch | `Temporary | `Permanent | `Outdated]

(** CORE : errors *)

type error = ..

val error_encoding : error Data_encoding.t

val pp : Format.formatter -> error -> unit

(** EXT : error registration/query *)

val register_error_kind :
  error_category ->
  id:string ->
  title:string ->
  description:string ->
  ?pp:(Format.formatter -> 'err -> unit) ->
  'err Data_encoding.t ->
  (error -> 'err option) ->
  ('err -> error) ->
  unit

val json_of_error : error -> Data_encoding.json

val error_of_json : Data_encoding.json -> error

type error_info = {
  category : error_category;
  id : string;
  title : string;
  description : string;
  schema : Data_encoding.json_schema;
}

val pp_info : Format.formatter -> error_info -> unit

(** Retrieves information of registered errors *)
val get_registered_errors : unit -> error_info list

(** MONAD : trace, monad, etc. *)

type 'err trace

type 'a tzresult = ('a, error trace) result

val make_trace_encoding : 'error Data_encoding.t -> 'error trace Data_encoding.t

val trace_encoding : error trace Data_encoding.t

val pp_trace : Format.formatter -> error trace -> unit

val result_encoding : 'a Data_encoding.t -> 'a tzresult Data_encoding.t

val ok : 'a -> ('a, 'trace) result

val return : 'a -> ('a, 'trace) result Lwt.t

val return_unit : (unit, 'trace) result Lwt.t

val return_none : ('a option, 'trace) result Lwt.t

val return_some : 'a -> ('a option, 'trace) result Lwt.t

val return_nil : ('a list, 'trace) result Lwt.t

val return_true : (bool, 'trace) result Lwt.t

val return_false : (bool, 'trace) result Lwt.t

val error : 'err -> ('a, 'err trace) result

val trace_of_error : 'err -> 'err trace

val fail : 'err -> ('a, 'err trace) result Lwt.t

val ( >>= ) : 'a Lwt.t -> ('a -> 'b Lwt.t) -> 'b Lwt.t

val ( >|= ) : 'a Lwt.t -> ('a -> 'b) -> 'b Lwt.t

val ( >>? ) :
  ('a, 'trace) result -> ('a -> ('b, 'trace) result) -> ('b, 'trace) result

val ( >|? ) : ('a, 'trace) result -> ('a -> 'b) -> ('b, 'trace) result

val ( >>=? ) :
  ('a, 'trace) result Lwt.t ->
  ('a -> ('b, 'trace) result Lwt.t) ->
  ('b, 'trace) result Lwt.t

val ( >|=? ) :
  ('a, 'trace) result Lwt.t -> ('a -> 'b) -> ('b, 'trace) result Lwt.t

val ( >>?= ) :
  ('a, 'trace) result ->
  ('a -> ('b, 'trace) result Lwt.t) ->
  ('b, 'trace) result Lwt.t

val ( >|?= ) :
  ('a, 'trace) result -> ('a -> 'b Lwt.t) -> ('b, 'trace) result Lwt.t

val record_trace : 'err -> ('a, 'err trace) result -> ('a, 'err trace) result

val trace :
  'err -> ('b, 'err trace) result Lwt.t -> ('b, 'err trace) result Lwt.t

val record_trace_eval :
  (unit -> 'err) -> ('a, 'err trace) result -> ('a, 'err trace) result

val trace_eval :
  (unit -> 'err) ->
  ('b, 'err trace) result Lwt.t ->
  ('b, 'err trace) result Lwt.t

val error_unless : bool -> 'err -> (unit, 'err trace) result

val error_when : bool -> 'err -> (unit, 'err trace) result

val fail_unless : bool -> 'err -> (unit, 'err trace) result Lwt.t

val fail_when : bool -> 'err -> (unit, 'err trace) result Lwt.t

val unless :
  bool -> (unit -> (unit, 'trace) result Lwt.t) -> (unit, 'trace) result Lwt.t

val when_ :
  bool -> (unit -> (unit, 'trace) result Lwt.t) -> (unit, 'trace) result Lwt.t

val dont_wait :
  (exn -> unit) ->
  ('trace -> unit) ->
  (unit -> (unit, 'trace) result Lwt.t) ->
  unit

(** [catch f] executes [f] within a try-with block and wraps exceptions within
    a [tzresult]. [catch f] is equivalent to
    [try Ok (f ()) with e -> Error (error_of_exn e)].

    If [catch_only] is set, then only exceptions [e] such that [catch_only e] is
    [true] are caught.

    Whether [catch_only] is set or not, this function never catches
    non-deterministic runtime exceptions of OCaml such as {!Stack_overflow} and
    {!Out_of_memory} nor system-exceptions such as {!Unix.Unix_error} and
    {!Sys_error}. *)
val catch : ?catch_only:(exn -> bool) -> (unit -> 'a) -> 'a tzresult

(** [catch_f f handler] is equivalent to [map_error (catch f) handler].
    In other words, it catches exceptions in [f ()] and either returns the
    value in an [Ok] or passes the exception to [handler] for the [Error].

    [catch_only] has the same use as with [catch]. The same restriction on
    catching non-deterministic runtime exceptions applies. *)
val catch_f :
  ?catch_only:(exn -> bool) -> (unit -> 'a) -> (exn -> error) -> 'a tzresult

(** [catch_s] is like [catch] but when [f] returns a promise. It is equivalent
    to

{[
Lwt.try_bind f
  (fun v -> Lwt.return (Ok v))
  (fun e -> Lwt.return (Error (error_of_exn e)))
]}

    If [catch_only] is set, then only exceptions [e] such that [catch_only e] is
    [true] are caught.

    Whether [catch_only] is set or not, this function never catches
    non-deterministic runtime exceptions of OCaml such as {!Stack_overflow} and
    {!Out_of_memory} nor system-exceptions such as {!Unix.Unix_error} and
    {!Sys_error}. *)
val catch_s :
  ?catch_only:(exn -> bool) -> (unit -> 'a Lwt.t) -> 'a tzresult Lwt.t

(* Synchronisation *)

val join_e : (unit, 'err trace) result list -> (unit, 'err trace) result

val all_e : ('a, 'err trace) result list -> ('a list, 'err trace) result

val both_e :
  ('a, 'err trace) result ->
  ('b, 'err trace) result ->
  ('a * 'b, 'err trace) result

(**/**)

(* The protocol environment needs to know about shell's tzresult because they are
   used for in-protocol RPCs. Moreover, some light processing on these results
   is done in the protocol which requires the type to be concrete.

   The type is kept private because the environment is sole responsible for
   wrapping the protocol's errors into the shell's. *)

type shell_tztrace

type 'a shell_tzresult = ('a, shell_tztrace) result

module Lwt_syntax : sig
  val return : 'a -> 'a Lwt.t

  val return_none : _ option Lwt.t

  val return_nil : _ list Lwt.t

  val return_true : bool Lwt.t

  val return_false : bool Lwt.t

  val return_some : 'a -> 'a option Lwt.t

  val return_ok : 'a -> ('a, _) result Lwt.t

  val return_error : 'e -> (_, 'e) result Lwt.t

  val return_ok_unit : (unit, 'e) result Lwt.t

  val return_ok_true : (bool, 'e) result Lwt.t

  val return_ok_false : (bool, 'e) result Lwt.t

  val return_ok_none : ('a option, 'e) result Lwt.t

  val return_ok_nil : ('a list, 'e) result Lwt.t

  val ( let* ) : 'a Lwt.t -> ('a -> 'b Lwt.t) -> 'b Lwt.t

  val ( and* ) : 'a Lwt.t -> 'b Lwt.t -> ('a * 'b) Lwt.t

  val ( let+ ) : 'a Lwt.t -> ('a -> 'b) -> 'b Lwt.t

  val ( and+ ) : 'a Lwt.t -> 'b Lwt.t -> ('a * 'b) Lwt.t

  val join : unit Lwt.t list -> unit Lwt.t

  val all : 'a Lwt.t list -> 'a list Lwt.t

  val both : 'a Lwt.t -> 'b Lwt.t -> ('a * 'b) Lwt.t
end

module Result_syntax : sig
  val return : 'a -> ('a, 'e) result

  val return_unit : (unit, 'e) result

  val return_none : ('a option, 'e) result

  val return_some : 'a -> ('a option, 'e) result

  val return_nil : ('a list, 'e) result

  val return_true : (bool, 'e) result

  val return_false : (bool, 'e) result

  val fail : 'e -> ('a, 'e) result

  val ( let* ) : ('a, 'e) result -> ('a -> ('b, 'e) result) -> ('b, 'e) result

  val ( let+ ) : ('a, 'e) result -> ('a -> 'b) -> ('b, 'e) result

  val join : (unit, 'e) result list -> (unit, 'e list) result

  val all : ('a, 'e) result list -> ('a list, 'e list) result

  val both : ('a, 'e) result -> ('b, 'e) result -> ('a * 'b, 'e list) result
end

module Lwt_result_syntax : sig
  val return : 'a -> ('a, 'e) result Lwt.t

  val return_unit : (unit, 'e) result Lwt.t

  val return_none : ('a option, 'e) result Lwt.t

  val return_some : 'a -> ('a option, 'e) result Lwt.t

  val return_nil : ('a list, 'e) result Lwt.t

  val return_true : (bool, 'e) result Lwt.t

  val return_false : (bool, 'e) result Lwt.t

  val fail : 'e -> ('a, 'e) result Lwt.t

  val ( let* ) :
    ('a, 'e) result Lwt.t ->
    ('a -> ('b, 'e) result Lwt.t) ->
    ('b, 'e) result Lwt.t

  val ( let+ ) : ('a, 'e) result Lwt.t -> ('a -> 'b) -> ('b, 'e) result Lwt.t

  val lwt_map_error :
    ('e -> 'f) -> ('a, 'e) result Lwt.t -> ('a, 'f) result Lwt.t

  val ( let*! ) : 'a Lwt.t -> ('a -> 'b Lwt.t) -> 'b Lwt.t

  val ( let*? ) :
    ('a, 'e) result -> ('a -> ('b, 'e) result Lwt.t) -> ('b, 'e) result Lwt.t

  val join : (unit, 'e) result Lwt.t list -> (unit, 'e list) result Lwt.t

  val all : ('a, 'e) result Lwt.t list -> ('a list, 'e list) result Lwt.t

  val both :
    ('a, 'e) result Lwt.t ->
    ('b, 'e) result Lwt.t ->
    ('a * 'b, 'e list) result Lwt.t
end

module Tzresult_syntax : sig
  val return : 'a -> ('a, 'error) result

  val return_unit : (unit, 'error) result

  val return_none : ('a option, 'error) result

  val return_some : 'a -> ('a option, 'error) result

  val return_nil : ('a list, 'error) result

  val return_true : (bool, 'error) result

  val return_false : (bool, 'error) result

  val fail : 'error -> ('a, 'error trace) result

  val ( let* ) : ('a, 'e) result -> ('a -> ('b, 'e) result) -> ('b, 'e) result

  val ( and* ) :
    ('a, 'e trace) result -> ('b, 'e trace) result -> ('a * 'b, 'e trace) result

  val ( let+ ) : ('a, 'e) result -> ('a -> 'b) -> ('b, 'e) result

  val ( and+ ) :
    ('a, 'e trace) result -> ('b, 'e trace) result -> ('a * 'b, 'e trace) result

  val join : (unit, 'error trace) result list -> (unit, 'error trace) result

  val all : ('a, 'error trace) result list -> ('a list, 'error trace) result

  val both :
    ('a, 'error trace) result ->
    ('b, 'error trace) result ->
    ('a * 'b, 'error trace) result
end

module Lwt_tzresult_syntax : sig
  val return : 'a -> ('a, 'error) result Lwt.t

  val return_unit : (unit, 'error) result Lwt.t

  val return_none : ('a option, 'error) result Lwt.t

  val return_some : 'a -> ('a option, 'error) result Lwt.t

  val return_nil : ('a list, 'error) result Lwt.t

  val return_true : (bool, 'error) result Lwt.t

  val return_false : (bool, 'error) result Lwt.t

  val fail : 'error -> ('a, 'error trace) result Lwt.t

  val ( let* ) :
    ('a, 'e) result Lwt.t ->
    ('a -> ('b, 'e) result Lwt.t) ->
    ('b, 'e) result Lwt.t

  val ( and* ) :
    ('a, 'e trace) result Lwt.t ->
    ('b, 'e trace) result Lwt.t ->
    ('a * 'b, 'e trace) result Lwt.t

  val ( let+ ) : ('a, 'e) result Lwt.t -> ('a -> 'b) -> ('b, 'e) result Lwt.t

  val ( and+ ) :
    ('a, 'e trace) result Lwt.t ->
    ('b, 'e trace) result Lwt.t ->
    ('a * 'b, 'e trace) result Lwt.t

  val ( let*! ) : 'a Lwt.t -> ('a -> 'b Lwt.t) -> 'b Lwt.t

  val ( let*? ) :
    ('a, 'e) result -> ('a -> ('b, 'e) result Lwt.t) -> ('b, 'e) result Lwt.t

  val join :
    (unit, 'error trace) result Lwt.t list -> (unit, 'error trace) result Lwt.t

  val all :
    ('a, 'error trace) result Lwt.t list -> ('a list, 'error trace) result Lwt.t

  val both :
    ('a, 'error trace) result Lwt.t ->
    ('b, 'error trace) result Lwt.t ->
    ('a * 'b, 'error trace) result Lwt.t
end
end
# 48 "v5.in.ml"


  open Error_monad

  module Seq : sig
# 1 "v5/seq.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2020 Nomadic Labs <contact@nomadic-labs.com>                *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(* From Lwtreslib *)

type 'a t = unit -> 'a node

and +'a node = Nil | Cons of 'a * 'a t

val empty : 'a t

val return : 'a -> 'a t

val cons : 'a -> 'a t -> 'a t

val append : 'a t -> 'a t -> 'a t

val map : ('a -> 'b) -> 'a t -> 'b t

val filter : ('a -> bool) -> 'a t -> 'a t

val filter_map : ('a -> 'b option) -> 'a t -> 'b t

val flat_map : ('a -> 'b t) -> 'a t -> 'b t

val fold_left : ('a -> 'b -> 'a) -> 'a -> 'b t -> 'a

val iter : ('a -> unit) -> 'a t -> unit

val unfold : ('b -> ('a * 'b) option) -> 'b -> 'a t

(** {3 Lwtreslib-specific extensions} *)

(** [first s] is [None] if [s] is empty, it is [Some x] where [x] is the
    first element of [s] otherwise.

    Note that [first] forces the first element of the sequence, which can have
    side-effects or be computationally expensive. Consider, e.g., the case
    where [s = filter (fun …) s']: [first s] can force multiple of the values
    from [s']. *)
val first : 'a t -> 'a option

(** Similar to {!fold_left} but wraps the traversal in {!result}. The
    traversal is interrupted if one of the step returns an [Error _]. *)
val fold_left_e :
  ('a -> 'b -> ('a, 'trace) result) -> 'a -> 'b t -> ('a, 'trace) result

(** Similar to {!fold_left} but wraps the traversing in {!Lwt}. Each step of
    the traversal is started after the previous one has resolved. The
    traversal is interrupted if one of the promise is rejected. *)
val fold_left_s : ('a -> 'b -> 'a Lwt.t) -> 'a -> 'b t -> 'a Lwt.t

(** Similar to {!fold_left} but wraps the traversing in [result Lwt.t].
    Each step of the traversal is started after the previous one resolved. The
    traversal is interrupted if one of the step is rejected or is fulfilled
    with [Error _]. *)
val fold_left_es :
  ('a -> 'b -> ('a, 'trace) result Lwt.t) ->
  'a ->
  'b t ->
  ('a, 'trace) result Lwt.t

(** Similar to {!iter} but wraps the iteration in {!result}. The iteration
    is interrupted if one of the step returns an [Error _]. *)
val iter_e : ('a -> (unit, 'trace) result) -> 'a t -> (unit, 'trace) result

(** Similar to {!iter} but wraps the iteration in {!Lwt}. Each step
    of the iteration is started after the previous one resolved. The iteration
    is interrupted if one of the promise is rejected. *)
val iter_s : ('a -> unit Lwt.t) -> 'a t -> unit Lwt.t

(** Similar to {!iter} but wraps the iteration in [result Lwt.t]. Each step
    of the iteration is started after the previous one resolved. The iteration
    is interrupted if one of the promise is rejected of fulfilled with an
    [Error _]. *)
val iter_es :
  ('a -> (unit, 'trace) result Lwt.t) -> 'a t -> (unit, 'trace) result Lwt.t

(** Similar to {!iter} but wraps the iteration in [result Lwt.t]. All the
    steps of the iteration are started concurrently. The promise [iter_ep]
    resolves once all the promises of the traversal resolve. At this point it
    either:
    - is rejected if at least one of the promises is, otherwise
    - is fulfilled with [Error _] if at least one of the promises is,
      otherwise
    - is fulfilled with [Ok ()] if all the promises are. *)
val iter_ep :
  ('a -> (unit, 'error Error_monad.trace) result Lwt.t) ->
  'a t ->
  (unit, 'error Error_monad.trace) result Lwt.t

(** Similar to {!iter} but wraps the iteration in {!Lwt}. All the
    steps of the iteration are started concurrently. The promise [iter_p f s]
    is resolved only once all the promises of the iteration are. At this point
    it is either fulfilled if all promises are, or rejected if at least one of
    them is. *)
val iter_p : ('a -> unit Lwt.t) -> 'a t -> unit Lwt.t
end
# 52 "v5.in.ml"


  module List : sig
# 1 "v5/list.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2020 Nomadic Labs <contact@nomadic-labs.com>                *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** {1 List}

    A replacement for {!Stdlib.List} which:
    - replaces the exception-raising functions by exception-safe variants,
    - provides Lwt-, result- and Lwt-result-aware traversors.

    [List] is intended to shadow both {!Stdlib.List} and {!Lwt_list}. *)

(** {2 Basics}

    Checkout {!Lwtreslib} for an introduction to the naming and semantic
    convention of Lwtreslib. In a nutshell:
    - Stdlib functions that raise exceptions are replaced by safe variants
      (typically returning [option]).
    - The [_e] suffix is for result-aware traversors ("e" stands for "error"),
      [_s] and [_p] are for Lwt-aware, and [_es] and [_ep] are for
      Lwt-result-aware.
    - [_e], [_s], and [_es] traversors are {i fail-early}: they stop traversal
      as soon as a failure ([Error] or [Fail]) occurs; [_p] and [_ep]
      traversors are {i best-effort}: they only resolve once all of the
      intermediate promises have, even if a failure occurs. *)

(** {2 Double-traversal and combine}

    Note that double-list traversors ([iter2], [map2], etc., and also [combine])
    take an additional [when_different_lengths] parameter. This is to control
    the error that is returned when the two lists passed as arguments have
    different lengths.

    This mechanism is a replacement for {!Stdlib.List.iter2} (etc.) raising
    [Invalid_argument].

    Note that, as per the fail-early behaviour mentioned above, [_e], [_s], and
    [_es] traversors will have already processed the common-prefix before the
    error is returned.

    Because the best-effort behaviour of [_p] and [_ep] is unsatisfying for this
    failure case, double parallel traversors are omitted from this library.
    (Specifically, it is not obvious whether nor how the
    [when_different_lengths] error should be composed with the other errors.)

    To obtain a different behaviour for sequential traversors, or to process
    two lists in parallel, you can use {!combine} or any of the alternatives
    that handles the error differently: {!combine_drop},
    {!combine_with_leftovers}. Finally, the {!rev_combine} is provided to allow
    to avoid multiple-reversing.

    {3 Special considerations}

    Because they traverse the list from right-to-left, the {!fold_right2}
    function and all its variants fail with [when_different_lengths] before any
    of the processing starts. Whilst this is still within the fail-early
    behaviour, it may be surprising enough that it requires mentioning here.

    Because they may return early, {!for_all2} and {!exists2} and all their
    variants may return [Ok _] even though the arguments have different lengths.
*)

(** {2 API} *)

(** {3 The list type} *)
type 'a t = 'a list = [] | ( :: ) of 'a * 'a list

  (** {3 Constructors and some such} *)

(** [nil] is [[]] *)
val nil : 'a list

(** [nil_e] is [Ok []] *)
val nil_e : ('a list, 'trace) result

(** [nil_s] is [Lwt.return_nil] *)
val nil_s : 'a list Lwt.t

(** [nil_es] is [Lwt.return (Ok [])] *)
val nil_es : ('a list, 'trace) result Lwt.t

(** [cons x xs] is [x :: xs] *)
val cons : 'a -> 'a list -> 'a list

(** {3 Safe wrappers}

    This part of the module simply shadows some functions from {!Stdlib.List}
    with exceptionless variants. As per the design principles of Lwtreslib,

    - functions which may fail with [Not_found] or otherwise from
      unavailability of data return an [option] instead,
    - function which may fail with [Invalid_argument _] or otherwise from
      malformedness of input receive an additional parameter to return as an
      [Error] instead,
    - functions which perform polymorphic comparison receive an additional
      parameter for monomorphic comparison instead. *)

(** [hd xs] is the head (first element) of the list or [None] if the list is
    empty. *)
val hd : 'a list -> 'a option

(** [tl xs] is the tail of the list (the whole list except the first element)
    or [None] if the list is empty. *)
val tl : 'a list -> 'a list option

(** [nth xs n] is the [n]th element of the list or [None] if the list has
    fewer than [n] elements.

    For example, [nth xs 0 = hd xs] and [nth ['x'; 'y'] 1 = Some 'y']. *)
val nth : 'a list -> int -> 'a option

(** [nth_opt] is an alias for [nth] provided for compatibility with
      {!Stdlib.List}. *)
val nth_opt : 'a list -> int -> 'a option

(** [last x xs] is the last element of the list [xs] or [x] if [xs] is empty.

    The primary intended use for [last] is after destructing a list:
      [match l with | [] -> … | x :: xs -> last x xs]
    but it can also be used for a default value:
    [last default_value_if_empty xs]. *)
val last : 'a -> 'a list -> 'a

(** [last_opt xs] is the last element of the list [xs] or [None] if the list
    [xs] is empty. *)
val last_opt : 'a list -> 'a option

(** [find predicate xs] is the first element [x] of the list [xs] such that
    [predicate x] is [true] or [None] if the list [xs] has no such element. *)
val find : ('a -> bool) -> 'a list -> 'a option

(** [find_opt] is an alias for [find] provided for compatibility with
    {!Stdlib.List}. *)
val find_opt : ('a -> bool) -> 'a list -> 'a option

(** [find_map f xs] applies [f] to each of the elements of [xs] until it
    returns [Some _] at which point it is returned. If no such elements are
    found then it returns [None].

    Note that it only applies [f] to a prefix of [xs]. It doesn't apply [f] to
    the elements of [xs] which are after the found element. Consequently,
    [find_map f xs] has better performance and a different semantic than
    calling [map] and [find] separately. *)
val find_map : ('a -> 'b option) -> 'a list -> 'b option

(** [mem ~equal a l] is [true] iff there is an element [e] of [l] such that
    [equal a e]. *)
val mem : equal:('a -> 'a -> bool) -> 'a -> 'a list -> bool

(** [assoc ~equal k kvs] is [Some v] such that [(k', v)] is the first pair in
    the list such that [equal k' k] or [None] if the list contains no such
    pair. *)
val assoc : equal:('a -> 'a -> bool) -> 'a -> ('a * 'b) list -> 'b option

(** [assoc_opt] is an alias for [assoc] provided for compatibility with
    {!Stdlib.List}. *)
val assoc_opt : equal:('a -> 'a -> bool) -> 'a -> ('a * 'b) list -> 'b option

(** [assq k kvs] is the same as [assoc ~equal:Stdlib.( == ) k kvs]: it uses
    the physical equality. *)
val assq : 'a -> ('a * 'b) list -> 'b option

(** [assq_opt] is an alias for [assq] provided for compatibility with
    {!Stdlib.List}. *)
val assq_opt : 'a -> ('a * 'b) list -> 'b option

(** [mem_assoc ~equal k l] is equivalent to
    [Option.is_some @@ assoc ~equal k l]. *)
val mem_assoc : equal:('a -> 'a -> bool) -> 'a -> ('a * 'b) list -> bool

(** [mem_assq k l] is [mem_assoc ~equal:Stdlib.( == ) k l]. *)
val mem_assq : 'a -> ('a * 'b) list -> bool

(** [remove_assoc ~equal k l] is [l] without the first element [(k', _)] such
    that [equal k k']. *)
val remove_assoc :
  equal:('a -> 'a -> bool) -> 'a -> ('a * 'b) list -> ('a * 'b) list

(** [remove_assoq k l] is [remove_assoc ~equal:Stdlib.( == ) k l]. *)
val remove_assq : 'a -> ('a * 'b) list -> ('a * 'b) list

(** {3 Initialisation} *)

(** [init ~when_negative_length n f] is a list of [n] elements [f 0], [f 1],
    etc.

    If [n] is negative, it is [Error when_negative_length] instead. *)
val init :
  when_negative_length:'trace ->
  int ->
  (int -> 'a) ->
  ('a list, 'trace) result

(** {3 Basic traversal} *)

(** [length xs] is the number of elements in [xs].

    [length []] is [0], [length ['x']] is [1], etc. *)
val length : 'a list -> int

(** [rev xs] is a list with the elements appearing in the reverse order as in
    [xs].

    [rev ['x'; 'y']] is ['y'; 'x'] *)
val rev : 'a list -> 'a list

(** [concat xs] is a list containing the elements of the elements of [xs].

    [concat [['x'; 'y']; ['a'; 'b']]] is [['x'; 'y'; 'a'; 'b']] *)
val concat : 'a list list -> 'a list

(** [append xs ys] is a list containing the elements of [xs] and the elements
    of [ys], in this order.

    [concat ['x'; 'y'] ['a'; 'b']] is [['x'; 'y'; 'a'; 'b']] *)
val append : 'a list -> 'a list -> 'a list

(** [rev_append xs ys] is [append (rev xs) ys] but more efficient. In other
    words, [rev_append xs ys] is a list containing the elements of xs in
    reverse order followed by the elements of [ys].

    There are two main use-cases for [rev_append]. First, you should use
    [rev_append] when the order of elements is unimportant. In this case you
    simply replace [append xs ys] with [rev_append xs ys].

    Second, you can use [rev_append] on an already reversed list. You may
    obtain an already reversed list from any of the other [rev_*] functions of
    this module, or simply via your own traversal. In this case, you replace,
    say, [append (map f xs) ys] with [rev_append (rev_map f xs) ys]. *)
val rev_append : 'a list -> 'a list -> 'a list

  (** [flatten] is an alias for {!concat}. *)
val flatten : 'a list list -> 'a list

(** {3 Double-list traversals}

    These safe-wrappers take an explicit value to handle the case of lists of
    unequal length. This value is passed as a named parameter:
    [when_different_lengths].

    Note that the traversal function passed as argument (if any) is applied to
    the common prefix of the two lists, even if they are of different lengths.
    E.g., in [map2 f ['x', 'y'] ['a']] the call [f 'x' 'a'] is made and all
    its side-effects are performed before the value
    [Error when_different_lengths] is returned
*)

(** [combine ~when_different_lengths l1 l2] is either
    - [Error when_different_lengths] if [List.length l1 <> List.length l2]
    - a list of pairs of elements from [l1] and [l2]

      E.g., [combine ~when_different_lengths [] []] is [Ok []]

      E.g., [combine ~when_different_lengths [1; 2] ['a'; 'b']] is [Ok [(1,'a'); (2, 'b')]]

      E.g., [combine ~when_different_lengths:"wrong" [1] []] is [Error "wrong"]

    Note: [combine ~when_different_lengths l1 l2] is equivalent to
      [try Ok (Stdlib.List.combine l1 l2) with Invalid_argument _ -> when_different_lengths]

    The same equivalence almost holds for the other double traversors below.
    The notable difference is if the functions passed as argument to the
    traversors raise the [Invalid_argument _] exception. *)
val combine :
  when_different_lengths:'trace ->
  'a list ->
  'b list ->
  (('a * 'b) list, 'trace) result

(** [rev_combine ~when_different_lengths xs ys] is
    [rev (combine ~when_different_lengths xs ys)] but more efficient. *)
val rev_combine :
  when_different_lengths:'trace ->
  'a list ->
  'b list ->
  (('a * 'b) list, 'trace) result

(** [split xs] is [(List.map fst xs, List.map snd xs)] but more efficient. *)
val split : ('a * 'b) list -> 'a list * 'b list

(** [iter2 ~when_different_lengths f xs ys] is [f x0 y0; f x1 y1; …].

    Remember that, even if the lists are of different lengths, the function
    [f] is applied to the common prefix of [xs] and [ys]. This is true for
    other traversals, but especially relevant to [iter] which is commonly used
    for side-effects. *)
val iter2 :
  when_different_lengths:'trace ->
  ('a -> 'b -> unit) ->
  'a list ->
  'b list ->
  (unit, 'trace) result

(** [map2 ~when_different_lengths f xs ys] is a list with elements [f x0 y0],
    [f x1 y1], etc.

    Remember that, even if the lists are of different lengths, the function
    [f] is applied to the common prefix of [xs] and [ys]. Beware of
    side-effects and computational cost. *)
val map2 :
  when_different_lengths:'trace ->
  ('a -> 'b -> 'c) ->
  'a list ->
  'b list ->
  ('c list, 'trace) result

(** [rev_map2 ~when_different_lengths f xs ys] is
    [Result.map rev @@ map2 ~when_different_lengths f xs ys] but more
    efficient.

    Remember that, even if the lists are of different lengths, the function
    [f] is applied to the common prefix of [xs] and [ys]. Beware of
    side-effects and computational cost. *)
val rev_map2 :
  when_different_lengths:'trace ->
  ('a -> 'b -> 'c) ->
  'a list ->
  'b list ->
  ('c list, 'trace) result

(** [fold_left2 ~when_different_lengths f init xs ys] is
    [… (f (f init x0 y0) x1 y1)].

    Remember that, even if the lists are of different lengths, the function
    [f] is applied to the common prefix of [xs] and [ys]. Beware of
    side-effects and computational cost. *)
val fold_left2 :
  when_different_lengths:'trace ->
  ('a -> 'b -> 'c -> 'a) ->
  'a ->
  'b list ->
  'c list ->
  ('a, 'trace) result

(** [fold_right2 ~when_different_lengths f xs ys init] is
    [f x0 y0 (f x1 y1 (…))].

    This function is not tail-recursive.

    Note that unlike the left-to-right double-list traversors, [fold_right2]
    only calls [f] if the lists are of the same length. *)
val fold_right2 :
  when_different_lengths:'trace ->
  ('a -> 'b -> 'c -> 'c) ->
  'a list ->
  'b list ->
  'c ->
  ('c, 'trace) result

(** [for_all2 ~when_different_lengths f xs ys] is
    [f x0 y0 && f x1 y1 && …].

    The function stops early if it encounters elements [xn], [yn] such that [f
    xn yn] is [false]. (This is consistent with the short-circuit, lazy
    evaluation strategy of [&&] in the descritpion above.)

    Also note that, if such an element is found in the common prefix of [xs]
    and [ys], then the function returns [Ok false] even if [xs] and [ys] are
    of different lengths.

    Examples:

    [for_all2 ~when_different_lengths (=) [] []] is [Ok true]

    [for_all2 ~when_different_lengths (=) ['x'] ['a']] is [Ok false]

    [for_all2 ~when_different_lengths (=) ['x'; 'y'] ['a']] is [Ok false]

    [for_all2 ~when_different_lengths (=) ['x'] ['x']] is [Ok true]

    [for_all2 ~when_different_lengths (=) ['x'; 'y'] ['x']] is [Error when_different_lengths]

    [for_all2 ~when_different_lengths (=) ['x'; 'y'] ['x'; 'b']] is [Ok false]

    [for_all2 ~when_different_lengths (=) ['x'; 'y'] ['x'; 'y'; 'c']] is
    [Error when_different_lengths]

    Remember that, when it returns [Error when_different_lengths], the
    function [f] has already been applied to the common prefix of [xs] and
    [ys]. Beware of side-effects and computational cost. *)
val for_all2 :
  when_different_lengths:'trace ->
  ('a -> 'b -> bool) ->
  'a list ->
  'b list ->
  (bool, 'trace) result

(** [exists2 ~when_different_lengths f xs ys] is
    [f x0 y0 || f x1 y1 || …].

    The function stops early if it encounters elements [xn], [yn] such that [f
    xn yn] is [true]. (This is consistent with the short-circuit, lazy
    evaluation strategy of [||] in the descritpion above.)

    Also note that, if such an element is found in the common prefix of [xs]
    and [ys], then the function returns [Ok true] even if [xs] and [ys] are of
    different lengths.

    Examples:

    [exists2 ~when_different_lengths (=) [] []] is [Ok false]

    [exists2 ~when_different_lengths (=) ['x'] ['a']] is [Ok false]

    [exists2 ~when_different_lengths (=) ['x'; 'y'] ['a']] is [Error when_different_lengths]

    [exists2 ~when_different_lengths (=) ['x'] ['x']] is [Ok true]

    [exists2 ~when_different_lengths (=) ['x'; 'y'] ['x']] is [Ok true]

    Remember that, when it returns [Error when_different_lengths], the
    function [f] has already been applied to the common prefix of [xs] and
    [ys]. Beware of side-effects and computational cost. *)
val exists2 :
  when_different_lengths:'trace ->
  ('a -> 'b -> bool) ->
  'a list ->
  'b list ->
  (bool, 'trace) result

(** {3 Monad-aware variants}

    The functions below are strict extensions of the standard {!Stdlib.List}
    module. It is for result-, lwt- and lwt-result-aware variants. The meaning
    of the suffix is as described above, in {!Lwtreslib}, and in {!Sigs.Seq}. *)

(** {3 Initialisation variants}

    Note that for asynchronous variants ([_s], [_es], [_p], and [_ep]), if the
    length parameter is negative, then the promise is returned already
    fulfilled with [Error when_different_lengths]. *)

(** [init_e] is a Result-aware variant of {!init}. *)
val init_e :
  when_negative_length:'trace ->
  int ->
  (int -> ('a, 'trace) result) ->
  ('a list, 'trace) result

(** [init_s] is an Lwt-aware variant of {!init}. *)
val init_s :
  when_negative_length:'trace ->
  int ->
  (int -> 'a Lwt.t) ->
  ('a list, 'trace) result Lwt.t

(** [init_es] is an Lwt-Result-aware variant of {!init}. *)
val init_es :
  when_negative_length:'trace ->
  int ->
  (int -> ('a, 'trace) result Lwt.t) ->
  ('a list, 'trace) result Lwt.t

(** [init_p] is a variant of {!init_s} where the promises are evaluated
    concurrently. *)
val init_p :
  when_negative_length:'trace ->
  int ->
  (int -> 'a Lwt.t) ->
  ('a list, 'trace) result Lwt.t

(** {3 Query variants} *)

(** [find_e] is a Result-aware variant of {!find}. *)
val find_e :
  ('a -> (bool, 'trace) result) -> 'a list -> ('a option, 'trace) result

(** [find_s] is an Lwt-aware variant of {!find}. *)
val find_s : ('a -> bool Lwt.t) -> 'a list -> 'a option Lwt.t

(** [find_es] is an Lwt-Result-aware variant of {!find}. *)
val find_es :
  ('a -> (bool, 'trace) result Lwt.t) ->
  'a list ->
  ('a option, 'trace) result Lwt.t

(** [find_map_e] is a Result-aware variant of {!find_map}. *)
val find_map_e :
  ('a -> ('b option, 'trace) result) -> 'a list -> ('b option, 'trace) result

(** [find_map_s] is an Lwt-aware variant of {!find_map}. *)
val find_map_s : ('a -> 'b option Lwt.t) -> 'a list -> 'b option Lwt.t

(** [find_map_es] is an Lwt-Result-aware variant of {!find_map}. *)
val find_map_es :
  ('a -> ('b option, 'trace) result Lwt.t) ->
  'a list ->
  ('b option, 'trace) result Lwt.t

(** [filter f xs] is the list of all the elements [xn] of [xs] such that
    [f xn] is [true].

    [filter (fun x -> x > 10) [0; 2; 19; 22; -1; 3; 11]] is [[19; 22; 11]] *)
val filter : ('a -> bool) -> 'a list -> 'a list

(** [filteri] is similar to {!filter} but the predicate also receives the
    element's index as an argument. *)
val filteri : (int -> 'a -> bool) -> 'a list -> 'a list

(** [find_all] is an alias for {!filter}. *)
val find_all : ('a -> bool) -> 'a list -> 'a list

(** [rev_filter f l] is [rev (filter f l)] but more efficient. *)
val rev_filter : ('a -> bool) -> 'a list -> 'a list

(** [rev_filteri f l] is [rev (filteri f l)] but more efficient. *)
val rev_filteri : (int -> 'a -> bool) -> 'a list -> 'a list

(** [rev_filter_some xs] is [rev @@ filter_some xs] but more efficient. *)
val rev_filter_some : 'a option list -> 'a list

(** [filter_some] extracts all the payloads of the [Some] variants.
    The order is preserved.

    [filter_some [None; Some 'a'; None; None; Some 'z'; Some 'u']] is
    [['a'; 'z'; 'u']]. *)
val filter_some : 'a option list -> 'a list

(** [rev_filter_ok rs] is [rev @@ filter_ok rs] but more efficient. *)
val rev_filter_ok : ('a, 'b) result list -> 'a list

(** [filter_ok] extracts all the payloads of the [Ok] variants.
    The order is preserved.

    [filter_ok [Error 3; Ok 'a'; Error 3; Error 5; Ok 'z'; Ok 'u']] is
    [['a'; 'z'; 'u']]. *)
val filter_ok : ('a, 'b) result list -> 'a list

(** [rev_filter_error rs] is [rev @@ filter_error rs] but more efficient. *)
val rev_filter_error : ('a, 'b) result list -> 'b list

(** [filter_error] extracts all the payloads of the [Error] variants.
    The order is preserved.

    [filter_ok [Error 3; Ok 'a'; Error 3; Error 5; Ok 'z'; Ok 'u']] is
    [[3; 3; 5]]. *)
val filter_error : ('a, 'b) result list -> 'b list

(** [rev_filter_left es] is [rev @@ filter_left es] but more efficient. *)
val rev_filter_left : ('a, 'b) Either.t list -> 'a list

(** [filter_left] extracts all the payloads of the [Left] variants.
    The order is preserved.

    [filter_left [Right 3; Left 'a'; Right 3; Right 5; Left 'z'; Left 'u']] is
    [['a'; 'z'; 'u']]. *)
val filter_left : ('a, 'b) Either.t list -> 'a list

(** [rev_filter_right es] is [rev @@ filter_right es] but more efficient. *)
val rev_filter_right : ('a, 'b) Either.t list -> 'b list

(** [filter_right] extracts all the payloads of the [Right] variants.
    The order is preserved.

    [filter_right [Right 3; Left 'a'; Right 3; Right 5; Left 'z'; Left 'u']] is
    [[3; 3; 5]]. *)
val filter_right : ('a, 'b) Either.t list -> 'b list

(** [rev_filter_e] is a Result-aware variant of {!rev_filter}. *)
val rev_filter_e :
  ('a -> (bool, 'trace) result) -> 'a list -> ('a list, 'trace) result

(** [filter_e] is a Result-aware variant of {!filter}. *)
val filter_e :
  ('a -> (bool, 'trace) result) -> 'a list -> ('a list, 'trace) result

(** [rev_filter_s] is an Lwt-aware variant of {!rev_filter}. *)
val rev_filter_s : ('a -> bool Lwt.t) -> 'a list -> 'a list Lwt.t

(** [filter_s] is an Lwt-aware variant of {!filter}. *)
val filter_s : ('a -> bool Lwt.t) -> 'a list -> 'a list Lwt.t

(** [rev_filter_es] is an Lwt-Result-aware variant of {!rev_filter}. *)
val rev_filter_es :
  ('a -> (bool, 'trace) result Lwt.t) ->
  'a list ->
  ('a list, 'trace) result Lwt.t

(** [filter_es] is an Lwt-Result-aware variant of {!filter}. *)
val filter_es :
  ('a -> (bool, 'trace) result Lwt.t) ->
  'a list ->
  ('a list, 'trace) result Lwt.t

(** [rev_filteri_e] is a Result-aware variant of {!rev_filteri}. *)
val rev_filteri_e :
  (int -> 'a -> (bool, 'trace) result) -> 'a list -> ('a list, 'trace) result

(** [filteri_e] is a Result-aware variant of {!filteri}. *)
val filteri_e :
  (int -> 'a -> (bool, 'trace) result) -> 'a list -> ('a list, 'trace) result

(** [rev_filteri_s] is an Lwt-aware variant of {!rev_filteri}. *)
val rev_filteri_s : (int -> 'a -> bool Lwt.t) -> 'a list -> 'a list Lwt.t

(** [filteri_s] is an Lwt-aware variant of {!filteri}. *)
val filteri_s : (int -> 'a -> bool Lwt.t) -> 'a list -> 'a list Lwt.t

(** [rev_filteri_es] is an Lwt-Result-aware variant of {!rev_filteri}. *)
val rev_filteri_es :
  (int -> 'a -> (bool, 'trace) result Lwt.t) ->
  'a list ->
  ('a list, 'trace) result Lwt.t

(** [filteri_es] is an Lwt-Result-aware variant of {!filteri}. *)
val filteri_es :
  (int -> 'a -> (bool, 'trace) result Lwt.t) ->
  'a list ->
  ('a list, 'trace) result Lwt.t

(** [rev_partition f xs] is [let rt, rf = partition f xs in (rev rt, rev rf)]
    but more efficient. *)
val rev_partition : ('a -> bool) -> 'a list -> 'a list * 'a list

(** [partition f xs] is a couple of lists [(ts, fs)] where [ts] contains all
    the elements of [xs] such that [f x] is [true] and [fs] contains all the
    elements of [xs] such that [f x] is [false].

    The function [f] is applied once to each element of [xs]. *)
val partition : ('a -> bool) -> 'a list -> 'a list * 'a list

(** [rev_partition_map f xs] is
    [let rt, rf = partition_map f xs in (rev rt, rev rf)]
    but more efficient. *)
val rev_partition_map :
  ('a -> ('b, 'c) Either.t) -> 'a list -> 'b list * 'c list

(** [partition_map f xs] applies [f] to each of the element of [xs] and
    returns a couple of lists [(ls, rs)] where [ls] contains all
    the [l] such that [f x] is [Left l] and [rs] contains all
    the [r] such that [f x] is [Right r]. *)
val partition_map : ('a -> ('b, 'c) Either.t) -> 'a list -> 'b list * 'c list

(** [rev_partition_result rs] is [partition_result @@ rev rs] but more
    efficient. *)
val rev_partition_result : ('a, 'b) result list -> 'a list * 'b list

(** [partition_result rs] is a tuple of lists [(os, es)] where [os] contains
    all the payloads of [Ok] variants of [rs] and [es] contains all the
    payloads of [Error] variants of [rs].

    [partition_result rs] is [(filter_ok rs, filter_error rs)] but more
    efficient. *)
val partition_result : ('a, 'b) result list -> 'a list * 'b list

(** [rev_partition_either rs] is [partition_either @@ rev rs] but more
    efficient. *)
val rev_partition_either : ('a, 'b) Either.t list -> 'a list * 'b list

(** [partition_either es] is a tuple of lists [(ls, rs)] where [ls] contains
    all the payloads of [Left] variants of [ls] and [rs] contains all the
    payloads of [Right] variants of [es].

    [partition_either es] is [(filter_left es, filter_right es)] but more
    efficient. *)
val partition_either : ('a, 'b) Either.t list -> 'a list * 'b list

(** [rev_partition_e] is a Result-aware variant of {!rev_partition}. *)
val rev_partition_e :
  ('a -> (bool, 'trace) result) ->
  'a list ->
  ('a list * 'a list, 'trace) result

(** [partition_e] is a Result-aware variant of {!partition}. *)
val partition_e :
  ('a -> (bool, 'trace) result) ->
  'a list ->
  ('a list * 'a list, 'trace) result

(** [rev_partition_s] is an Lwt-aware variant of {!rev_partition}. *)
val rev_partition_s :
  ('a -> bool Lwt.t) -> 'a list -> ('a list * 'a list) Lwt.t

(** [partition_s] is an Lwt-aware variant of {!partition}. *)
val partition_s : ('a -> bool Lwt.t) -> 'a list -> ('a list * 'a list) Lwt.t

(** [rev_partition_es] is an Lwt-Result-aware variant of {!rev_partition}. *)
val rev_partition_es :
  ('a -> (bool, 'trace) result Lwt.t) ->
  'a list ->
  ('a list * 'a list, 'trace) result Lwt.t

(** [partition_es] is an Lwt-Result-aware variant of {!partition}. *)
val partition_es :
  ('a -> (bool, 'trace) result Lwt.t) ->
  'a list ->
  ('a list * 'a list, 'trace) result Lwt.t

(** [partition_p] is a variant of {!partition_s} where the promises are
    evaluated concurrently. *)
val partition_p : ('a -> bool Lwt.t) -> 'a list -> ('a list * 'a list) Lwt.t

(** [rev_partition_map_e] is a Result-aware variant of {!rev_partition_map}. *)
val rev_partition_map_e :
  ('a -> (('b, 'c) Either.t, 'trace) result) ->
  'a list ->
  ('b list * 'c list, 'trace) result

(** [partition_map_e] is a Result-aware variant of {!partition_map}. *)
val partition_map_e :
  ('a -> (('b, 'c) Either.t, 'trace) result) ->
  'a list ->
  ('b list * 'c list, 'trace) result

(** [rev_partition_map_s] is an Lwt-aware variant of {!rev_partition_map}. *)
val rev_partition_map_s :
  ('a -> ('b, 'c) Either.t Lwt.t) -> 'a list -> ('b list * 'c list) Lwt.t

(** [partition_map_s] is an Lwt-aware variant of {!partition_map}. *)
val partition_map_s :
  ('a -> ('b, 'c) Either.t Lwt.t) -> 'a list -> ('b list * 'c list) Lwt.t

(** [rev_partition_map_es] is an Lwt-Result-aware variant of
  {!rev_partition_map}. *)
val rev_partition_map_es :
  ('a -> (('b, 'c) Either.t, 'trace) result Lwt.t) ->
  'a list ->
  ('b list * 'c list, 'trace) result Lwt.t

(** [partition_map_es] is an Lwt-Result-aware variant of {!partition_map}. *)
val partition_map_es :
  ('a -> (('b, 'c) Either.t, 'trace) result Lwt.t) ->
  'a list ->
  ('b list * 'c list, 'trace) result Lwt.t

(** {3 Traversal variants} *)

(** [iter f xs] is [f x0; f x1; …]. *)
val iter : ('a -> unit) -> 'a list -> unit

(** [iter_e] is a Result-aware variant of {!iter}. *)
val iter_e : ('a -> (unit, 'trace) result) -> 'a list -> (unit, 'trace) result

(** [iter_s] is an Lwt-aware variant of {!iter}. *)
val iter_s : ('a -> unit Lwt.t) -> 'a list -> unit Lwt.t

(** [iter_es] is an Lwt-Result-aware variant of {!iter}. *)
val iter_es :
  ('a -> (unit, 'trace) result Lwt.t) ->
  'a list ->
  (unit, 'trace) result Lwt.t

(** [iter_p] is a variant of {!iter_s} where the promises are evaluated
    concurrently. *)
val iter_p : ('a -> unit Lwt.t) -> 'a list -> unit Lwt.t

(** [iteri f xs] is [f 0 x0; f 1 x1; …]. *)
val iteri : (int -> 'a -> unit) -> 'a list -> unit

(** [iteri_e] is a Result-aware variant of {!iteri}. *)
val iteri_e :
  (int -> 'a -> (unit, 'trace) result) -> 'a list -> (unit, 'trace) result

(** [iteri_s] is an Lwt-aware variant of {!iteri}. *)
val iteri_s : (int -> 'a -> unit Lwt.t) -> 'a list -> unit Lwt.t

(** [iteri_es] is an Lwt-Result-aware variant of {!iteri}. *)
val iteri_es :
  (int -> 'a -> (unit, 'trace) result Lwt.t) ->
  'a list ->
  (unit, 'trace) result Lwt.t

(** [iteri_p] is a variant of {!iteri_s} where the promises are evaluated
    concurrently. *)
val iteri_p : (int -> 'a -> unit Lwt.t) -> 'a list -> unit Lwt.t

(** [map f xs] is the list [[f x0; f x1; …]]. *)
val map : ('a -> 'b) -> 'a list -> 'b list

(** [map_e] is a Result-aware variant of {!map}. *)
val map_e : ('a -> ('b, 'trace) result) -> 'a list -> ('b list, 'trace) result

(** [map_s] is an Lwt-aware variant of {!map}. *)
val map_s : ('a -> 'b Lwt.t) -> 'a list -> 'b list Lwt.t

(** [map_es] is an Lwt-Result-aware variant of {!map}. *)
val map_es :
  ('a -> ('b, 'trace) result Lwt.t) ->
  'a list ->
  ('b list, 'trace) result Lwt.t

(** [map_p] is a variant of {!map_s} where the promises are evaluated
    concurrently. *)
val map_p : ('a -> 'b Lwt.t) -> 'a list -> 'b list Lwt.t

(** [mapi f xs] is the list [[f 0 x0; f 1 x1; …]]. *)
val mapi : (int -> 'a -> 'b) -> 'a list -> 'b list

(** [mapi_e] is a Result-aware variant of {!mapi}. *)
val mapi_e :
  (int -> 'a -> ('b, 'trace) result) -> 'a list -> ('b list, 'trace) result

(** [mapi_s] is an Lwt-aware variant of {!mapi}. *)
val mapi_s : (int -> 'a -> 'b Lwt.t) -> 'a list -> 'b list Lwt.t

(** [mapi_es] is an Lwt-Result-aware variant of {!mapi}. *)
val mapi_es :
  (int -> 'a -> ('b, 'trace) result Lwt.t) ->
  'a list ->
  ('b list, 'trace) result Lwt.t

(** [mapi_p] is a variant of {!mapi_s} where the promises are evaluated
    concurrently. *)
val mapi_p : (int -> 'a -> 'b Lwt.t) -> 'a list -> 'b list Lwt.t

(** [rev_map f xs] is [rev @@ map f xs] but more efficient. *)
val rev_map : ('a -> 'b) -> 'a list -> 'b list

(** [rev_mapi f xs] is [rev @@ mapi f xs] but more efficient. *)
val rev_mapi : (int -> 'a -> 'b) -> 'a list -> 'b list

(** [rev_map_e] is a Result-aware variant of {!rev_map}. *)
val rev_map_e :
  ('a -> ('b, 'trace) result) -> 'a list -> ('b list, 'trace) result

(** [rev_map_s] is an Lwt-aware variant of {!rev_map}. *)
val rev_map_s : ('a -> 'b Lwt.t) -> 'a list -> 'b list Lwt.t

(** [rev_map_es] is an Lwt-Result-aware variant of {!rev_map}. *)
val rev_map_es :
  ('a -> ('b, 'trace) result Lwt.t) ->
  'a list ->
  ('b list, 'trace) result Lwt.t

(** [rev_map_p] is a variant of {!rev_map_s} where the promises are evaluated
    concurrently. *)
val rev_map_p : ('a -> 'b Lwt.t) -> 'a list -> 'b list Lwt.t

(** [rev_mapi_e] is a Result-aware variant of {!rev_mapi}. *)
val rev_mapi_e :
  (int -> 'a -> ('b, 'trace) result) -> 'a list -> ('b list, 'trace) result

(** [rev_mapi_s] is an Lwt-aware variant of {!rev_mapi}. *)
val rev_mapi_s : (int -> 'a -> 'b Lwt.t) -> 'a list -> 'b list Lwt.t

(** [rev_mapi_es] is an Lwt-Result-aware variant of {!rev_mapi}. *)
val rev_mapi_es :
  (int -> 'a -> ('b, 'trace) result Lwt.t) ->
  'a list ->
  ('b list, 'trace) result Lwt.t

(** [rev_mapi_p] is a variant of {!rev_mapi_s} where the promises are
    evaluated concurrently. *)
val rev_mapi_p : (int -> 'a -> 'b Lwt.t) -> 'a list -> 'b list Lwt.t

(** [rev_filter_map f xs] is [rev @@ filter_map f xs] but more efficient. *)
val rev_filter_map : ('a -> 'b option) -> 'a list -> 'b list

(** [rev_filter_map_e] is a Result-aware variant of {!rev_filter_map}. *)
val rev_filter_map_e :
  ('a -> ('b option, 'trace) result) -> 'a list -> ('b list, 'trace) result

(** [filter_map_e] is a Result-aware variant of {!filter_map}. *)
val filter_map_e :
  ('a -> ('b option, 'trace) result) -> 'a list -> ('b list, 'trace) result

(** [rev_filter_map_s] is an Lwt-aware variant of {!rev_filter_map}. *)
val rev_filter_map_s : ('a -> 'b option Lwt.t) -> 'a list -> 'b list Lwt.t

(** [filter_map f xs] is [filter_some @@ map f xs] but more efficient. *)
val filter_map : ('a -> 'b option) -> 'a list -> 'b list

(** [filter_map_s] is an Lwt-aware variant of {!filter_map}. *)
val filter_map_s : ('a -> 'b option Lwt.t) -> 'a list -> 'b list Lwt.t

(** [rev_filter_map_es] is an Lwt-Result-aware variant of {!rev_filter_map}. *)
val rev_filter_map_es :
  ('a -> ('b option, 'trace) result Lwt.t) ->
  'a list ->
  ('b list, 'trace) result Lwt.t

(** [filter_map_es] is an Lwt-Result-aware variant of {!filter_map}. *)
val filter_map_es :
  ('a -> ('b option, 'trace) result Lwt.t) ->
  'a list ->
  ('b list, 'trace) result Lwt.t

(** [filter_map_p] is a variant of {!filter_map_s} where the promises are evaluated concurrently. *)
val filter_map_p : ('a -> 'b option Lwt.t) -> 'a list -> 'b list Lwt.t

val concat_map : ('a -> 'b list) -> 'a list -> 'b list

(** [concat_map_s] is an Lwt-aware variant of {!concat_map}. *)
val concat_map_s : ('a -> 'b list Lwt.t) -> 'a list -> 'b list Lwt.t

(** [concat_map_e] is a Result-aware variant of {!concat_map}. *)
val concat_map_e :
  ('a -> ('b list, 'error) result) -> 'a list -> ('b list, 'error) result

(** [concat_map_es] is an Lwt-Result-aware variant of {!concat_map}. *)
val concat_map_es :
  ('a -> ('b list, 'error) result Lwt.t) ->
  'a list ->
  ('b list, 'error) result Lwt.t

(** [concat_map_p] is a variant of {!concat_map_s} where the promises are evaluated concurrently. *)
val concat_map_p : ('a -> 'b list Lwt.t) -> 'a list -> 'b list Lwt.t

val fold_left : ('a -> 'b -> 'a) -> 'a -> 'b list -> 'a

(** [fold_left_e] is a Result-aware variant of {!fold_left}. *)
val fold_left_e :
  ('a -> 'b -> ('a, 'trace) result) -> 'a -> 'b list -> ('a, 'trace) result

(** [fold_left_s] is an Lwt-aware variant of {!fold_left}. *)
val fold_left_s : ('a -> 'b -> 'a Lwt.t) -> 'a -> 'b list -> 'a Lwt.t

(** [fold_left_es] is an Lwt-Result-aware variant of {!fold_left}. *)
val fold_left_es :
  ('a -> 'b -> ('a, 'trace) result Lwt.t) ->
  'a ->
  'b list ->
  ('a, 'trace) result Lwt.t

(** [fold_left_map f a xs] is a combination of [fold_left] and [map] that maps
    over all elements of [xs] and threads an accumulator with initial value [a]
    through calls to [f]. *)
val fold_left_map : ('a -> 'b -> 'a * 'c) -> 'a -> 'b list -> 'a * 'c list

(** [fold_left_map_e f a xs] is a combination of [fold_left_e] and [map_e] that
    maps over all elements of [xs] and threads an accumulator with initial
    value [a] through calls to [f]. The list is traversed from left to right
    and the first encountered error is returned. *)
val fold_left_map_e :
  ('a -> 'b -> ('a * 'c, 'trace) result) ->
  'a ->
  'b list ->
  ('a * 'c list, 'trace) result

(** [fold_left_map_s f a xs] is a combination of [fold_left_s] and [map_s] that
    maps over all elements of [xs] and threads an accumulator with initial
    value [a] through calls to [f]. *)
val fold_left_map_s :
  ('a -> 'b -> ('a * 'c) Lwt.t) -> 'a -> 'b list -> ('a * 'c list) Lwt.t

(** [fold_left_map_es f a xs] is a combination of [fold_left_es] and [map_es] that
    maps over all elements of [xs] and threads an accumulator with initial
    value [a] through calls to [f]. The list is traversed from left to right
    and the first encountered error is returned. *)
val fold_left_map_es :
  ('a -> 'b -> ('a * 'c, 'trace) result Lwt.t) ->
  'a ->
  'b list ->
  ('a * 'c list, 'trace) result Lwt.t

val fold_left_i : (int -> 'a -> 'b -> 'a) -> 'a -> 'b list -> 'a

val fold_left_i_e :
  (int -> 'a -> 'b -> ('a, 'trace) result) ->
  'a ->
  'b list ->
  ('a, 'trace) result

val fold_left_i_s : (int -> 'a -> 'b -> 'a Lwt.t) -> 'a -> 'b list -> 'a Lwt.t

val fold_left_i_es :
  (int -> 'a -> 'b -> ('a, 'trace) result Lwt.t) ->
  'a ->
  'b list ->
  ('a, 'trace) result Lwt.t

(** This function is not tail-recursive *)
val fold_right : ('a -> 'b -> 'b) -> 'a list -> 'b -> 'b

(** This function is not tail-recursive *)
val fold_right_e :
  ('a -> 'b -> ('b, 'trace) result) -> 'a list -> 'b -> ('b, 'trace) result

(** This function is not tail-recursive *)
val fold_right_s : ('a -> 'b -> 'b Lwt.t) -> 'a list -> 'b -> 'b Lwt.t

(** This function is not tail-recursive *)
val fold_right_es :
  ('a -> 'b -> ('b, 'trace) result Lwt.t) ->
  'a list ->
  'b ->
  ('b, 'trace) result Lwt.t

(** {3 Double-traversal variants}

    As mentioned above, there are no [_p] and [_ep] double-traversors. Use
    {!combine} (and variants) to circumvent this. *)

val iter2_e :
  when_different_lengths:'trace ->
  ('a -> 'b -> (unit, 'trace) result) ->
  'a list ->
  'b list ->
  (unit, 'trace) result

val iter2_s :
  when_different_lengths:'trace ->
  ('a -> 'b -> unit Lwt.t) ->
  'a list ->
  'b list ->
  (unit, 'trace) result Lwt.t

val iter2_es :
  when_different_lengths:'trace ->
  ('a -> 'b -> (unit, 'trace) result Lwt.t) ->
  'a list ->
  'b list ->
  (unit, 'trace) result Lwt.t

val map2_e :
  when_different_lengths:'trace ->
  ('a -> 'b -> ('c, 'trace) result) ->
  'a list ->
  'b list ->
  ('c list, 'trace) result

val map2_s :
  when_different_lengths:'trace ->
  ('a -> 'b -> 'c Lwt.t) ->
  'a list ->
  'b list ->
  ('c list, 'trace) result Lwt.t

val map2_es :
  when_different_lengths:'trace ->
  ('a -> 'b -> ('c, 'trace) result Lwt.t) ->
  'a list ->
  'b list ->
  ('c list, 'trace) result Lwt.t

val rev_map2_e :
  when_different_lengths:'trace ->
  ('a -> 'b -> ('c, 'trace) result) ->
  'a list ->
  'b list ->
  ('c list, 'trace) result

val rev_map2_s :
  when_different_lengths:'trace ->
  ('a -> 'b -> 'c Lwt.t) ->
  'a list ->
  'b list ->
  ('c list, 'trace) result Lwt.t

val rev_map2_es :
  when_different_lengths:'trace ->
  ('a -> 'b -> ('c, 'trace) result Lwt.t) ->
  'a list ->
  'b list ->
  ('c list, 'trace) result Lwt.t

val fold_left2_e :
  when_different_lengths:'trace ->
  ('a -> 'b -> 'c -> ('a, 'trace) result) ->
  'a ->
  'b list ->
  'c list ->
  ('a, 'trace) result

val fold_left2_s :
  when_different_lengths:'trace ->
  ('a -> 'b -> 'c -> 'a Lwt.t) ->
  'a ->
  'b list ->
  'c list ->
  ('a, 'trace) result Lwt.t

val fold_left2_es :
  when_different_lengths:'trace ->
  ('a -> 'b -> 'c -> ('a, 'trace) result Lwt.t) ->
  'a ->
  'b list ->
  'c list ->
  ('a, 'trace) result Lwt.t

(** This function is not tail-recursive *)
val fold_right2_e :
  when_different_lengths:'trace ->
  ('a -> 'b -> 'c -> ('c, 'trace) result) ->
  'a list ->
  'b list ->
  'c ->
  ('c, 'trace) result

(** This function is not tail-recursive *)
val fold_right2_s :
  when_different_lengths:'trace ->
  ('a -> 'b -> 'c -> 'c Lwt.t) ->
  'a list ->
  'b list ->
  'c ->
  ('c, 'trace) result Lwt.t

(** This function is not tail-recursive *)
val fold_right2_es :
  when_different_lengths:'trace ->
  ('a -> 'b -> 'c -> ('c, 'trace) result Lwt.t) ->
  'a list ->
  'b list ->
  'c ->
  ('c, 'trace) result Lwt.t

(** {3 Scanning variants} *)

val for_all : ('a -> bool) -> 'a list -> bool

val for_all_e :
  ('a -> (bool, 'trace) result) -> 'a list -> (bool, 'trace) result

val for_all_s : ('a -> bool Lwt.t) -> 'a list -> bool Lwt.t

val for_all_es :
  ('a -> (bool, 'trace) result Lwt.t) ->
  'a list ->
  (bool, 'trace) result Lwt.t

val for_all_p : ('a -> bool Lwt.t) -> 'a list -> bool Lwt.t

val exists : ('a -> bool) -> 'a list -> bool

val exists_e :
  ('a -> (bool, 'trace) result) -> 'a list -> (bool, 'trace) result

val exists_s : ('a -> bool Lwt.t) -> 'a list -> bool Lwt.t

val exists_es :
  ('a -> (bool, 'trace) result Lwt.t) ->
  'a list ->
  (bool, 'trace) result Lwt.t

val exists_p : ('a -> bool Lwt.t) -> 'a list -> bool Lwt.t

(** {3 Double-scanning variants}

    As mentioned above, there are no [_p] and [_ep] double-scanners. Use
    {!combine} (and variants) to circumvent this. *)

val for_all2_e :
  when_different_lengths:'trace ->
  ('a -> 'b -> (bool, 'trace) result) ->
  'a list ->
  'b list ->
  (bool, 'trace) result

val for_all2_s :
  when_different_lengths:'trace ->
  ('a -> 'b -> bool Lwt.t) ->
  'a list ->
  'b list ->
  (bool, 'trace) result Lwt.t

val for_all2_es :
  when_different_lengths:'trace ->
  ('a -> 'b -> (bool, 'trace) result Lwt.t) ->
  'a list ->
  'b list ->
  (bool, 'trace) result Lwt.t

val exists2_e :
  when_different_lengths:'trace ->
  ('a -> 'b -> (bool, 'trace) result) ->
  'a list ->
  'b list ->
  (bool, 'trace) result

val exists2_s :
  when_different_lengths:'trace ->
  ('a -> 'b -> bool Lwt.t) ->
  'a list ->
  'b list ->
  (bool, 'trace) result Lwt.t

val exists2_es :
  when_different_lengths:'trace ->
  ('a -> 'b -> (bool, 'trace) result Lwt.t) ->
  'a list ->
  'b list ->
  (bool, 'trace) result Lwt.t

(** {3 Combine variants}

    These are primarily intended to be used for preprocessing before applying
    a traversor to the resulting list of pairs. They give alternatives to the
    [when_different_lengths] mechanism of the immediate double-traversors
    above.

    In case the semantic of, say, [map2_es] was unsatisfying, one can use
    [map_es] on a [combine]-preprocessed pair of lists. The different variants
    of [combine] give different approaches to different-length handling. *)

(** [combine_drop ll lr] is a list [l] of pairs of elements taken from the
    common-length prefix of [ll] and [lr]. The suffix of whichever list is
    longer (if any) is dropped.

    More formally [nth l n] is:
    - [None] if [n >= min (length ll) (length lr)]
    - [Some (Option.get @@ nth ll n, Option.get @@ nth lr n)] otherwise
    *)
val combine_drop : 'a list -> 'b list -> ('a * 'b) list

(** [combine_with_leftovers ll lr] is a tuple [(combined, leftover)]
    where [combined] is [combine_drop ll lr]
      and [leftover] is either [Either.Left lsuffix] or [Either.Right rsuffix]
      depending on which of [ll] or [lr] is longer. [leftover] is [None] if the
      two lists have the same length. *)
val combine_with_leftovers :
    'a list -> 'b list -> ('a * 'b) list * ('a list, 'b list) Either.t option

  (** {3 Comparison and equality}

      The comparison and equality functions are those of the OCaml [Stdlib]. *)

val compare : ('a -> 'a -> int) -> 'a list -> 'a list -> int

val compare_lengths : 'a list -> 'b list -> int

val compare_length_with : 'a list -> int -> int

val equal : ('a -> 'a -> bool) -> 'a list -> 'a list -> bool

  (** {3 Sorting}

      The sorting functions are those of the OCaml [Stdlib]. *)

val sort : ('a -> 'a -> int) -> 'a list -> 'a list

val stable_sort : ('a -> 'a -> int) -> 'a list -> 'a list

val fast_sort : ('a -> 'a -> int) -> 'a list -> 'a list

val sort_uniq : ('a -> 'a -> int) -> 'a list -> 'a list

  (** {3 Conversion}

      The conversion functions are those of the OCaml [Stdlib]. *)

val to_seq : 'a list -> 'a Seq.t

val of_seq : 'a Seq.t -> 'a list

val init_ep :
  when_negative_length:'error ->
  int ->
  (int -> ('a, 'error Error_monad.trace) result Lwt.t) ->
  ('a list, 'error Error_monad.trace) result Lwt.t

val filter_ep :
  ('a -> (bool, 'error Error_monad.trace) result Lwt.t) ->
  'a list ->
  ('a list, 'error Error_monad.trace) result Lwt.t

val partition_ep :
  ('a -> (bool, 'error Error_monad.trace) result Lwt.t) ->
  'a list ->
  ('a list * 'a list, 'error Error_monad.trace) result Lwt.t

val partition_map_ep :
  ('a -> (('b, 'c) Either.t, 'error Error_monad.trace) result Lwt.t) ->
  'a list ->
  ('b list * 'c list, 'error Error_monad.trace) result Lwt.t

val iter_ep :
  ('a -> (unit, 'error Error_monad.trace) result Lwt.t) ->
  'a list ->
  (unit, 'error Error_monad.trace) result Lwt.t

val iteri_ep :
  (int -> 'a -> (unit, 'error Error_monad.trace) result Lwt.t) ->
  'a list ->
  (unit, 'error Error_monad.trace) result Lwt.t

val map_ep :
  ('a -> ('b, 'error Error_monad.trace) result Lwt.t) ->
  'a list ->
  ('b list, 'error Error_monad.trace) result Lwt.t

val mapi_ep :
  (int -> 'a -> ('b, 'error Error_monad.trace) result Lwt.t) ->
  'a list ->
  ('b list, 'error Error_monad.trace) result Lwt.t

val rev_map_ep :
  ('a -> ('b, 'error Error_monad.trace) result Lwt.t) ->
  'a list ->
  ('b list, 'error Error_monad.trace) result Lwt.t

val rev_mapi_ep :
  (int -> 'a -> ('b, 'error Error_monad.trace) result Lwt.t) ->
  'a list ->
  ('b list, 'error Error_monad.trace) result Lwt.t

val filter_map_ep :
  ('a -> ('b option, 'error Error_monad.trace) result Lwt.t) ->
  'a list ->
  ('b list, 'error Error_monad.trace) result Lwt.t

val concat_map_ep :
  ('a -> ('b list, 'error trace) result Lwt.t) ->
  'a list ->
  ('b list, 'error trace) result Lwt.t

val for_all_ep :
  ('a -> (bool, 'error Error_monad.trace) result Lwt.t) ->
  'a list ->
  (bool, 'error Error_monad.trace) result Lwt.t

val exists_ep :
  ('a -> (bool, 'error Error_monad.trace) result Lwt.t) ->
  'a list ->
  (bool, 'error Error_monad.trace) result Lwt.t
end
# 54 "v5.in.ml"


  module Set : sig
# 1 "v5/set.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2020 Nomadic Labs <contact@nomadic-labs.com>                *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(* From Lwtreslib *)

module type S = sig
  type elt

  type t

  val empty : t

  val is_empty : t -> bool

  val mem : elt -> t -> bool

  val add : elt -> t -> t

  val singleton : elt -> t

  val remove : elt -> t -> t

  val union : t -> t -> t

  val inter : t -> t -> t

  val disjoint : t -> t -> bool

  val diff : t -> t -> t

  val compare : t -> t -> int

  val equal : t -> t -> bool

  val subset : t -> t -> bool

  val iter : (elt -> unit) -> t -> unit

  val iter_e : (elt -> (unit, 'trace) result) -> t -> (unit, 'trace) result

  val iter_s : (elt -> unit Lwt.t) -> t -> unit Lwt.t

  val iter_p : (elt -> unit Lwt.t) -> t -> unit Lwt.t

  val iter_es :
    (elt -> (unit, 'trace) result Lwt.t) -> t -> (unit, 'trace) result Lwt.t

  val map : (elt -> elt) -> t -> t

  val fold : (elt -> 'a -> 'a) -> t -> 'a -> 'a

  val fold_e :
    (elt -> 'a -> ('a, 'trace) result) -> t -> 'a -> ('a, 'trace) result

  val fold_s : (elt -> 'a -> 'a Lwt.t) -> t -> 'a -> 'a Lwt.t

  val fold_es :
    (elt -> 'a -> ('a, 'trace) result Lwt.t) ->
    t ->
    'a ->
    ('a, 'trace) result Lwt.t

  val for_all : (elt -> bool) -> t -> bool

  val exists : (elt -> bool) -> t -> bool

  val filter : (elt -> bool) -> t -> t

  val filter_map : (elt -> elt option) -> t -> t

  val partition : (elt -> bool) -> t -> t * t

  val cardinal : t -> int

  val elements : t -> elt list

  val min_elt : t -> elt option

  val min_elt_opt : t -> elt option

  val max_elt : t -> elt option

  val max_elt_opt : t -> elt option

  val choose : t -> elt option

  val choose_opt : t -> elt option

  val split : elt -> t -> t * bool * t

  val find : elt -> t -> elt option

  val find_opt : elt -> t -> elt option

  val find_first : (elt -> bool) -> t -> elt option

  val find_first_opt : (elt -> bool) -> t -> elt option

  val find_last : (elt -> bool) -> t -> elt option

  val find_last_opt : (elt -> bool) -> t -> elt option

  val of_list : elt list -> t

  val to_seq_from : elt -> t -> elt Seq.t

  val to_seq : t -> elt Seq.t

  val to_rev_seq : t -> elt Seq.t

  val add_seq : elt Seq.t -> t -> t

  val of_seq : elt Seq.t -> t

  val iter_ep :
    (elt -> (unit, 'error Error_monad.trace) result Lwt.t) ->
    t ->
    (unit, 'error Error_monad.trace) result Lwt.t
end

module Make (Ord : Compare.COMPARABLE) : S with type elt = Ord.t
end
# 56 "v5.in.ml"


  module Map : sig
# 1 "v5/map.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2020 Nomadic Labs <contact@nomadic-labs.com>                *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(* From Lwtreslib *)

module type S = sig
  type key

  type +!'a t

  val empty : 'a t

  val is_empty : 'a t -> bool

  val mem : key -> 'a t -> bool

  val add : key -> 'a -> 'a t -> 'a t

  val update : key -> ('a option -> 'a option) -> 'a t -> 'a t

  val singleton : key -> 'a -> 'a t

  val remove : key -> 'a t -> 'a t

  val merge :
    (key -> 'a option -> 'b option -> 'c option) -> 'a t -> 'b t -> 'c t

  val union : (key -> 'a -> 'a -> 'a option) -> 'a t -> 'a t -> 'a t

  val compare : ('a -> 'a -> int) -> 'a t -> 'a t -> int

  val equal : ('a -> 'a -> bool) -> 'a t -> 'a t -> bool

  val iter : (key -> 'a -> unit) -> 'a t -> unit

  (** [iter_e f m] applies [f] to the bindings of [m] one by one in an
      unspecified order. If all the applications result in [Ok ()], then the
      result of the iteration is [Ok ()]. If any of the applications results in
      [Error e] then the iteration stops and the result of the iteration is
      [Error e]. *)
  val iter_e :
    (key -> 'a -> (unit, 'trace) result) -> 'a t -> (unit, 'trace) result

  val iter_s : (key -> 'a -> unit Lwt.t) -> 'a t -> unit Lwt.t

  val iter_p : (key -> 'a -> unit Lwt.t) -> 'a t -> unit Lwt.t

  (** [iter_es f m] applies [f] to the bindings of [m] in an unspecified order,
      one after the other as the promises resolve. If all the applications
      result in [Ok ()], then the result of the iteration is [Ok ()]. If any of
      the applications results in [Error e] then the iteration stops and the
      result of the iteration is [Error e]. *)
  val iter_es :
    (key -> 'a -> (unit, 'trace) result Lwt.t) ->
    'a t ->
    (unit, 'trace) result Lwt.t

  val fold : (key -> 'a -> 'b -> 'b) -> 'a t -> 'b -> 'b

  (** [fold_e f m init] is
      [f k1 d1 init >>? fun acc -> f k2 d2 acc >>? fun acc -> …] where [kN] is
      the key bound to [dN] in [m]. *)
  val fold_e :
    (key -> 'a -> 'b -> ('b, 'trace) result) ->
    'a t ->
    'b ->
    ('b, 'trace) result

  val fold_s : (key -> 'a -> 'b -> 'b Lwt.t) -> 'a t -> 'b -> 'b Lwt.t

  (** [fold_es f m init] is
      [f k1 d1 init >>=? fun acc -> f k2 d2 acc >>=? fun acc -> …] where [kN] is
      the key bound to [dN] in [m]. *)
  val fold_es :
    (key -> 'a -> 'b -> ('b, 'trace) result Lwt.t) ->
    'a t ->
    'b ->
    ('b, 'trace) result Lwt.t

  val for_all : (key -> 'a -> bool) -> 'a t -> bool

  val exists : (key -> 'a -> bool) -> 'a t -> bool

  val filter : (key -> 'a -> bool) -> 'a t -> 'a t

  val filter_map : (key -> 'a -> 'b option) -> 'a t -> 'b t

  val partition : (key -> 'a -> bool) -> 'a t -> 'a t * 'a t

  val cardinal : 'a t -> int

  val bindings : 'a t -> (key * 'a) list

  val min_binding : 'a t -> (key * 'a) option

  val min_binding_opt : 'a t -> (key * 'a) option

  val max_binding : 'a t -> (key * 'a) option

  val max_binding_opt : 'a t -> (key * 'a) option

  val choose : 'a t -> (key * 'a) option

  val choose_opt : 'a t -> (key * 'a) option

  val split : key -> 'a t -> 'a t * 'a option * 'a t

  val find : key -> 'a t -> 'a option

  val find_opt : key -> 'a t -> 'a option

  val find_first : (key -> bool) -> 'a t -> (key * 'a) option

  val find_first_opt : (key -> bool) -> 'a t -> (key * 'a) option

  val find_last : (key -> bool) -> 'a t -> (key * 'a) option

  val find_last_opt : (key -> bool) -> 'a t -> (key * 'a) option

  val map : ('a -> 'b) -> 'a t -> 'b t

  val mapi : (key -> 'a -> 'b) -> 'a t -> 'b t

  val to_seq : 'a t -> (key * 'a) Seq.t

  val to_rev_seq : 'a t -> (key * 'a) Seq.t

  val to_seq_from : key -> 'a t -> (key * 'a) Seq.t

  val add_seq : (key * 'a) Seq.t -> 'a t -> 'a t

  val of_seq : (key * 'a) Seq.t -> 'a t

  val iter_ep :
    (key -> 'a -> (unit, 'error Error_monad.trace) result Lwt.t) ->
    'a t ->
    (unit, 'error Error_monad.trace) result Lwt.t

end

module Make (Ord : Compare.COMPARABLE) : S with type key = Ord.t
end
# 58 "v5.in.ml"


  module Option : sig
# 1 "v5/option.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2020 Nomadic Labs <contact@nomadic-labs.com>                *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** Signature from Lwtreslib's option module *)

type 'a t = 'a option = None | Some of 'a

val none : 'a option

val none_e : ('a option, 'trace) result

val none_s : 'a option Lwt.t

val none_es : ('a option, 'trace) result Lwt.t

val some : 'a -> 'a option

val some_unit : unit option

val some_nil : 'a list option

val some_e : 'a -> ('a option, 'trace) result

val some_s : 'a -> 'a option Lwt.t

val some_es : 'a -> ('a option, 'trace) result Lwt.t

val value : 'a option -> default:'a -> 'a

val value_e : 'a option -> error:'trace -> ('a, 'trace) result

val value_f : 'a option -> default:(unit -> 'a) -> 'a

val value_fe : 'a option -> error:(unit -> 'trace) -> ('a, 'trace) result

val bind : 'a option -> ('a -> 'b option) -> 'b option

val join : 'a option option -> 'a option

val either : 'a option -> 'a option -> 'a option

val map : ('a -> 'b) -> 'a option -> 'b option

val map_s : ('a -> 'b Lwt.t) -> 'a option -> 'b option Lwt.t

val map_e :
  ('a -> ('b, 'trace) result) -> 'a option -> ('b option, 'trace) result

val map_es :
  ('a -> ('b, 'trace) result Lwt.t) ->
  'a option ->
  ('b option, 'trace) result Lwt.t

val fold : none:'a -> some:('b -> 'a) -> 'b option -> 'a

val fold_s : none:'a -> some:('b -> 'a Lwt.t) -> 'b option -> 'a Lwt.t

val fold_f : none:(unit -> 'a) -> some:('b -> 'a) -> 'b option -> 'a

val iter : ('a -> unit) -> 'a option -> unit

val iter_s : ('a -> unit Lwt.t) -> 'a option -> unit Lwt.t

val iter_e :
  ('a -> (unit, 'trace) result) -> 'a option -> (unit, 'trace) result

val iter_es :
  ('a -> (unit, 'trace) result Lwt.t) ->
  'a option ->
  (unit, 'trace) result Lwt.t

val is_none : 'a option -> bool

val is_some : 'a option -> bool

val equal : ('a -> 'a -> bool) -> 'a option -> 'a option -> bool

val compare : ('a -> 'a -> int) -> 'a option -> 'a option -> int

val to_result : none:'trace -> 'a option -> ('a, 'trace) result

val of_result : ('a, 'e) result -> 'a option

val to_list : 'a option -> 'a list

val to_seq : 'a option -> 'a Seq.t

(** [catch f] is [Some (f ())] if [f] does not raise an exception, it is
    [None] otherwise.

    You should only use [catch] when you truly do not care about
    what exception may be raised during the evaluation of [f ()]. If you need
    to inspect the raised exception, or if you need to pass it along, consider
    {!Result.catch} instead.

    If [catch_only] is set, then only exceptions [e] such that [catch_only e]
    is [true] are caught.

    Whether [catch_only] is set or not, you cannot catch non-deterministic
    runtime exceptions of OCaml such as {!Stack_overflow} and
    {!Out_of_memory} nor system exceptions such as {!Unix.Unix_error}. *)
val catch : ?catch_only:(exn -> bool) -> (unit -> 'a) -> 'a option

(** [catch_s f] is a promise that resolves to [Some x] if and when [f ()]
    resolves to [x]. Alternatively, it resolves to [None] if and when [f ()]
    is rejected.

    You should only use [catch_s] when you truly do not care about
    what exception may be raised during the evaluation of [f ()]. If you need
    to inspect the raised exception, or if you need to pass it along, consider
    {!Result.catch_s} instead.

    If [catch_only] is set, then only exceptions [e] such that [catch_only e]
    is [true] are caught.

    Whether [catch_only] is set or not, you cannot catch non-deterministic
    runtime exceptions of OCaml such as {!Stack_overflow} and
    {!Out_of_memory} nor system exceptions such as {!Unix.Unix_error}. *)
val catch_s :
  ?catch_only:(exn -> bool) -> (unit -> 'a Lwt.t) -> 'a option Lwt.t
end
# 60 "v5.in.ml"


  module Result : sig
# 1 "v5/result.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2020 Nomadic Labs <contact@nomadic-labs.com>                *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

type ('a, 'e) t = ('a, 'e) result = Ok of 'a | Error of 'e (***)

val ok : 'a -> ('a, 'e) result

val ok_s : 'a -> ('a, 'e) result Lwt.t

val error : 'e -> ('a, 'e) result

val error_s : 'e -> ('a, 'e) result Lwt.t

val return : 'a -> ('a, 'e) result

val return_unit : (unit, 'e) result

val return_none : ('a option, 'e) result

val return_some : 'a -> ('a option, 'e) result

val return_nil : ('a list, 'e) result

val return_true : (bool, 'e) result

val return_false : (bool, 'e) result

val value : ('a, 'e) result -> default:'a -> 'a

val value_f : ('a, 'e) result -> default:(unit -> 'a) -> 'a

val bind : ('a, 'e) result -> ('a -> ('b, 'e) result) -> ('b, 'e) result

val bind_s :
  ('a, 'e) result -> ('a -> ('b, 'e) result Lwt.t) -> ('b, 'e) result Lwt.t

val bind_error : ('a, 'e) result -> ('e -> ('a, 'f) result) -> ('a, 'f) result

val bind_error_s :
  ('a, 'e) result -> ('e -> ('a, 'f) result Lwt.t) -> ('a, 'f) result Lwt.t

val join : (('a, 'e) result, 'e) result -> ('a, 'e) result

val map : ('a -> 'b) -> ('a, 'e) result -> ('b, 'e) result

(* NOTE: [map_e] is [bind] *)
val map_e : ('a -> ('b, 'e) result) -> ('a, 'e) result -> ('b, 'e) result

val map_s : ('a -> 'b Lwt.t) -> ('a, 'e) result -> ('b, 'e) result Lwt.t

(* NOTE: [map_es] is [bind_s] *)
val map_es :
  ('a -> ('b, 'e) result Lwt.t) -> ('a, 'e) result -> ('b, 'e) result Lwt.t

val map_error : ('e -> 'f) -> ('a, 'e) result -> ('a, 'f) result

(* NOTE: [map_error_e] is [bind_error] *)
val map_error_e : ('e -> ('a, 'f) result) -> ('a, 'e) result -> ('a, 'f) result

val map_error_s : ('e -> 'f Lwt.t) -> ('a, 'e) result -> ('a, 'f) result Lwt.t

(* NOTE: [map_error_es] is [bind_error_s] *)
val map_error_es :
  ('e -> ('a, 'f) result Lwt.t) -> ('a, 'e) result -> ('a, 'f) result Lwt.t

val fold : ok:('a -> 'c) -> error:('e -> 'c) -> ('a, 'e) result -> 'c

val iter : ('a -> unit) -> ('a, 'e) result -> unit

val iter_s : ('a -> unit Lwt.t) -> ('a, 'e) result -> unit Lwt.t

val iter_error : ('e -> unit) -> ('a, 'e) result -> unit

val iter_error_s : ('e -> unit Lwt.t) -> ('a, 'e) result -> unit Lwt.t

val is_ok : ('a, 'e) result -> bool

val is_error : ('a, 'e) result -> bool

val equal :
  ok:('a -> 'a -> bool) ->
  error:('e -> 'e -> bool) ->
  ('a, 'e) result ->
  ('a, 'e) result ->
  bool

val compare :
  ok:('a -> 'a -> int) ->
  error:('e -> 'e -> int) ->
  ('a, 'e) result ->
  ('a, 'e) result ->
  int

val to_option : ('a, 'e) result -> 'a option

val of_option : error:'e -> 'a option -> ('a, 'e) result

val to_list : ('a, 'e) result -> 'a list

val to_seq : ('a, 'e) result -> 'a Seq.t

(** [catch f] is [try Ok (f ()) with e -> Error e]: it is [Ok x] if [f ()]
    evaluates to [x], and it is [Error e] if [f ()] raises [e].

    See {!WithExceptions.S.Result.to_exn} for a converse function.

    If [catch_only] is set, then only exceptions [e] such that [catch_only e]
    is [true] are caught.

    Whether [catch_only] is set or not, you cannot catch non-deterministic
    runtime exceptions of OCaml such as {!Stack_overflow} and
    {!Out_of_memory} nor system exceptions such as {!Unix.Unix_error}. *)
val catch : ?catch_only:(exn -> bool) -> (unit -> 'a) -> ('a, exn) result

(** [catch_f f handler] is equivalent to [map_error (catch f) handler].
    In other words, it catches exceptions in [f ()] and either returns the
    value in an [Ok] or passes the exception to [handler] for the [Error].

    [catch_only] has the same use as with [catch]. The same restriction on
    catching non-deterministic runtime exceptions applies. *)
val catch_f :
  ?catch_only:(exn -> bool) ->
  (unit -> 'a) ->
  (exn -> 'error) ->
  ('a, 'error) result

(** [catch_s] is [catch] but for Lwt promises. Specifically, [catch_s f]
    returns a promise that resolves to [Ok x] if and when [f ()] resolves to
    [x], or to [Error exc] if and when [f ()] is rejected with [exc].

    If [catch_only] is set, then only exceptions [e] such that [catch_only e]
    is [true] are caught.

    Whether [catch_only] is set or not, you cannot catch non-deterministic
    runtime exceptions of OCaml such as {!Stack_overflow} and
    {!Out_of_memory} nor system exceptions such as {!Unix.Unix_error}. *)
val catch_s :
  ?catch_only:(exn -> bool) -> (unit -> 'a Lwt.t) -> ('a, exn) result Lwt.t
end
# 62 "v5.in.ml"


  module RPC_arg : sig
# 1 "v5/RPC_arg.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** See [src/lib_rpc/RPC_arg.mli] for documentation *)

type 'a t

type 'a arg = 'a t

val make :
  ?descr:string ->
  name:string ->
  destruct:(string -> ('a, string) result) ->
  construct:('a -> string) ->
  unit ->
  'a arg

type descr = {name : string; descr : string option}

val descr : 'a arg -> descr

val bool : bool arg

val int : int arg

val uint : int arg

val int32 : int32 arg

val uint31 : int32 arg

val int64 : int64 arg

val uint63 : int64 arg

val string : string arg

val like : 'a arg -> ?descr:string -> string -> 'a arg

type ('a, 'b) eq = Eq : ('a, 'a) eq

val eq : 'a arg -> 'b arg -> ('a, 'b) eq option
end
# 64 "v5.in.ml"


  module RPC_path : sig
# 1 "v5/RPC_path.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

type ('prefix, 'params) t

type ('prefix, 'params) path = ('prefix, 'params) t

type 'prefix context = ('prefix, 'prefix) path

val root : unit context

val open_root : 'a context

val add_suffix : ('prefix, 'params) path -> string -> ('prefix, 'params) path

val ( / ) : ('prefix, 'params) path -> string -> ('prefix, 'params) path

val add_arg :
  ('prefix, 'params) path -> 'a RPC_arg.t -> ('prefix, 'params * 'a) path

val ( /: ) :
  ('prefix, 'params) path -> 'a RPC_arg.t -> ('prefix, 'params * 'a) path

val add_final_args :
  ('prefix, 'params) path -> 'a RPC_arg.t -> ('prefix, 'params * 'a list) path

val ( /:* ) :
  ('prefix, 'params) path -> 'a RPC_arg.t -> ('prefix, 'params * 'a list) path
end
# 66 "v5.in.ml"


  module RPC_query : sig
# 1 "v5/RPC_query.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

type 'a t

type 'a query = 'a t

val empty : unit query

type ('a, 'b) field

val field :
  ?descr:string -> string -> 'a RPC_arg.t -> 'a -> ('b -> 'a) -> ('b, 'a) field

val opt_field :
  ?descr:string ->
  string ->
  'a RPC_arg.t ->
  ('b -> 'a option) ->
  ('b, 'a option) field

val flag : ?descr:string -> string -> ('b -> bool) -> ('b, bool) field

val multi_field :
  ?descr:string ->
  string ->
  'a RPC_arg.t ->
  ('b -> 'a list) ->
  ('b, 'a list) field

type ('a, 'b, 'c) open_query

val query : 'b -> ('a, 'b, 'b) open_query

val ( |+ ) :
  ('a, 'b, 'c -> 'd) open_query -> ('a, 'c) field -> ('a, 'b, 'd) open_query

val seal : ('a, 'b, 'a) open_query -> 'a t

type untyped = (string * string) list

exception Invalid of string

val parse : 'a query -> untyped -> 'a
end
# 68 "v5.in.ml"


  module RPC_service : sig
# 1 "v5/RPC_service.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** HTTP methods. *)
type meth = [`GET | `POST | `DELETE | `PUT | `PATCH]

type (+'meth, 'prefix, 'params, 'query, 'input, 'output) t
  constraint 'meth = [< meth]

type (+'meth, 'prefix, 'params, 'query, 'input, 'output) service =
  ('meth, 'prefix, 'params, 'query, 'input, 'output) t

val get_service :
  ?description:string ->
  query:'query RPC_query.t ->
  output:'output Data_encoding.t ->
  ('prefix, 'params) RPC_path.t ->
  ([`GET], 'prefix, 'params, 'query, unit, 'output) service

val post_service :
  ?description:string ->
  query:'query RPC_query.t ->
  input:'input Data_encoding.t ->
  output:'output Data_encoding.t ->
  ('prefix, 'params) RPC_path.t ->
  ([`POST], 'prefix, 'params, 'query, 'input, 'output) service

val delete_service :
  ?description:string ->
  query:'query RPC_query.t ->
  output:'output Data_encoding.t ->
  ('prefix, 'params) RPC_path.t ->
  ([`DELETE], 'prefix, 'params, 'query, unit, 'output) service

val patch_service :
  ?description:string ->
  query:'query RPC_query.t ->
  input:'input Data_encoding.t ->
  output:'output Data_encoding.t ->
  ('prefix, 'params) RPC_path.t ->
  ([`PATCH], 'prefix, 'params, 'query, 'input, 'output) service

val put_service :
  ?description:string ->
  query:'query RPC_query.t ->
  input:'input Data_encoding.t ->
  output:'output Data_encoding.t ->
  ('prefix, 'params) RPC_path.t ->
  ([`PUT], 'prefix, 'params, 'query, 'input, 'output) service
end
# 70 "v5.in.ml"


  module RPC_answer : sig
# 1 "v5/RPC_answer.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** Return type for service handler *)
type 'o t =
  [ `Ok of 'o (* 200 *)
  | `OkChunk of 'o (* 200 but send answer as chunked transfer encoding *)
  | `OkStream of 'o stream (* 200 *)
  | `Created of string option (* 201 *)
  | `No_content (* 204 *)
  | `Unauthorized of error list option (* 401 *)
  | `Forbidden of error list option (* 403 *)
  | `Not_found of error list option (* 404 *)
  | `Conflict of error list option (* 409 *)
  | `Error of error list option (* 500 *) ]

and 'a stream = {next : unit -> 'a option Lwt.t; shutdown : unit -> unit}

val return : 'o -> 'o t Lwt.t

(** [return_chunked] is identical to [return] but it indicates to the server
    that the result might be long and that the serialisation should be done in
    mutliple chunks.

    You should use [return_chunked] when returning an (unbounded or potentially
    large) list, array, map, or other such set. *)
val return_chunked : 'o -> 'o t Lwt.t

val return_stream : 'o stream -> 'o t Lwt.t

val not_found : 'o t Lwt.t

val fail : error list -> 'a t Lwt.t
end
# 72 "v5.in.ml"


  module RPC_directory : sig
# 1 "v5/RPC_directory.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** Dispatch tree *)
type 'prefix t

type 'prefix directory = 'prefix t

(** Empty list of dispatch trees *)
val empty : 'prefix directory

val map : ('a -> 'b Lwt.t) -> 'b directory -> 'a directory

val prefix : ('pr, 'p) RPC_path.path -> 'p directory -> 'pr directory

val merge : 'a directory -> 'a directory -> 'a directory

(** Possible error while registering services. *)
type step =
  | Static of string
  | Dynamic of RPC_arg.descr
  | DynamicTail of RPC_arg.descr

type conflict =
  | CService of RPC_service.meth
  | CDir
  | CBuilder
  | CTail
  | CTypes of RPC_arg.descr * RPC_arg.descr
  | CType of RPC_arg.descr * string list

exception Conflict of step list * conflict

(** Registering handler in service tree.

    The [chunked] parameter controls whether the answer to the RPC is chunk
    encoded (i.e., the serialisation is split and the caller receives the answer
    in multiple chunks) or not. Defaults to [false]. Set to [true] for RPCs that
    return potentially large collections (e.g., unbounded lists). *)
val register :
  chunked:bool ->
  'prefix directory ->
  ('meth, 'prefix, 'params, 'query, 'input, 'output) RPC_service.t ->
  ('params -> 'query -> 'input -> 'output tzresult Lwt.t) ->
  'prefix directory

val opt_register :
  chunked:bool ->
  'prefix directory ->
  ('meth, 'prefix, 'params, 'query, 'input, 'output) RPC_service.t ->
  ('params -> 'query -> 'input -> 'output option tzresult Lwt.t) ->
  'prefix directory

val gen_register :
  'prefix directory ->
  ('meth, 'prefix, 'params, 'query, 'input, 'output) RPC_service.t ->
  ('params -> 'query -> 'input -> [< 'output RPC_answer.t] Lwt.t) ->
  'prefix directory

val lwt_register :
  chunked:bool ->
  'prefix directory ->
  ('meth, 'prefix, 'params, 'query, 'input, 'output) RPC_service.t ->
  ('params -> 'query -> 'input -> 'output Lwt.t) ->
  'prefix directory

(** Registering handler in service tree. Curryfied variant.  *)

val register0 :
  chunked:bool ->
  unit directory ->
  ('m, unit, unit, 'q, 'i, 'o) RPC_service.t ->
  ('q -> 'i -> 'o tzresult Lwt.t) ->
  unit directory

val register1 :
  chunked:bool ->
  'prefix directory ->
  ('m, 'prefix, unit * 'a, 'q, 'i, 'o) RPC_service.t ->
  ('a -> 'q -> 'i -> 'o tzresult Lwt.t) ->
  'prefix directory

val register2 :
  chunked:bool ->
  'prefix directory ->
  ('m, 'prefix, (unit * 'a) * 'b, 'q, 'i, 'o) RPC_service.t ->
  ('a -> 'b -> 'q -> 'i -> 'o tzresult Lwt.t) ->
  'prefix directory

val register3 :
  chunked:bool ->
  'prefix directory ->
  ('m, 'prefix, ((unit * 'a) * 'b) * 'c, 'q, 'i, 'o) RPC_service.t ->
  ('a -> 'b -> 'c -> 'q -> 'i -> 'o tzresult Lwt.t) ->
  'prefix directory

val register4 :
  chunked:bool ->
  'prefix directory ->
  ('m, 'prefix, (((unit * 'a) * 'b) * 'c) * 'd, 'q, 'i, 'o) RPC_service.t ->
  ('a -> 'b -> 'c -> 'd -> 'q -> 'i -> 'o tzresult Lwt.t) ->
  'prefix directory

val register5 :
  chunked:bool ->
  'prefix directory ->
  ('m, 'prefix, ((((unit * 'a) * 'b) * 'c) * 'd) * 'e, 'q, 'i, 'o) RPC_service.t ->
  ('a -> 'b -> 'c -> 'd -> 'e -> 'q -> 'i -> 'o tzresult Lwt.t) ->
  'prefix directory

val opt_register0 :
  chunked:bool ->
  unit directory ->
  ('m, unit, unit, 'q, 'i, 'o) RPC_service.t ->
  ('q -> 'i -> 'o option tzresult Lwt.t) ->
  unit directory

val opt_register1 :
  chunked:bool ->
  'prefix directory ->
  ('m, 'prefix, unit * 'a, 'q, 'i, 'o) RPC_service.t ->
  ('a -> 'q -> 'i -> 'o option tzresult Lwt.t) ->
  'prefix directory

val opt_register2 :
  chunked:bool ->
  'prefix directory ->
  ('m, 'prefix, (unit * 'a) * 'b, 'q, 'i, 'o) RPC_service.t ->
  ('a -> 'b -> 'q -> 'i -> 'o option tzresult Lwt.t) ->
  'prefix directory

val opt_register3 :
  chunked:bool ->
  'prefix directory ->
  ('m, 'prefix, ((unit * 'a) * 'b) * 'c, 'q, 'i, 'o) RPC_service.t ->
  ('a -> 'b -> 'c -> 'q -> 'i -> 'o option tzresult Lwt.t) ->
  'prefix directory

val opt_register4 :
  chunked:bool ->
  'prefix directory ->
  ('m, 'prefix, (((unit * 'a) * 'b) * 'c) * 'd, 'q, 'i, 'o) RPC_service.t ->
  ('a -> 'b -> 'c -> 'd -> 'q -> 'i -> 'o option tzresult Lwt.t) ->
  'prefix directory

val opt_register5 :
  chunked:bool ->
  'prefix directory ->
  ('m, 'prefix, ((((unit * 'a) * 'b) * 'c) * 'd) * 'e, 'q, 'i, 'o) RPC_service.t ->
  ('a -> 'b -> 'c -> 'd -> 'e -> 'q -> 'i -> 'o option tzresult Lwt.t) ->
  'prefix directory

val gen_register0 :
  unit directory ->
  ('m, unit, unit, 'q, 'i, 'o) RPC_service.t ->
  ('q -> 'i -> [< 'o RPC_answer.t] Lwt.t) ->
  unit directory

val gen_register1 :
  'prefix directory ->
  ('m, 'prefix, unit * 'a, 'q, 'i, 'o) RPC_service.t ->
  ('a -> 'q -> 'i -> [< 'o RPC_answer.t] Lwt.t) ->
  'prefix directory

val gen_register2 :
  'prefix directory ->
  ('m, 'prefix, (unit * 'a) * 'b, 'q, 'i, 'o) RPC_service.t ->
  ('a -> 'b -> 'q -> 'i -> [< 'o RPC_answer.t] Lwt.t) ->
  'prefix directory

val gen_register3 :
  'prefix directory ->
  ('m, 'prefix, ((unit * 'a) * 'b) * 'c, 'q, 'i, 'o) RPC_service.t ->
  ('a -> 'b -> 'c -> 'q -> 'i -> [< 'o RPC_answer.t] Lwt.t) ->
  'prefix directory

val gen_register4 :
  'prefix directory ->
  ('m, 'prefix, (((unit * 'a) * 'b) * 'c) * 'd, 'q, 'i, 'o) RPC_service.t ->
  ('a -> 'b -> 'c -> 'd -> 'q -> 'i -> [< 'o RPC_answer.t] Lwt.t) ->
  'prefix directory

val gen_register5 :
  'prefix directory ->
  ('m, 'prefix, ((((unit * 'a) * 'b) * 'c) * 'd) * 'e, 'q, 'i, 'o) RPC_service.t ->
  ('a -> 'b -> 'c -> 'd -> 'e -> 'q -> 'i -> [< 'o RPC_answer.t] Lwt.t) ->
  'prefix directory

val lwt_register0 :
  chunked:bool ->
  unit directory ->
  ('m, unit, unit, 'q, 'i, 'o) RPC_service.t ->
  ('q -> 'i -> 'o Lwt.t) ->
  unit directory

val lwt_register1 :
  chunked:bool ->
  'prefix directory ->
  ('m, 'prefix, unit * 'a, 'q, 'i, 'o) RPC_service.t ->
  ('a -> 'q -> 'i -> 'o Lwt.t) ->
  'prefix directory

val lwt_register2 :
  chunked:bool ->
  'prefix directory ->
  ('m, 'prefix, (unit * 'a) * 'b, 'q, 'i, 'o) RPC_service.t ->
  ('a -> 'b -> 'q -> 'i -> 'o Lwt.t) ->
  'prefix directory

val lwt_register3 :
  chunked:bool ->
  'prefix directory ->
  ('m, 'prefix, ((unit * 'a) * 'b) * 'c, 'q, 'i, 'o) RPC_service.t ->
  ('a -> 'b -> 'c -> 'q -> 'i -> 'o Lwt.t) ->
  'prefix directory

val lwt_register4 :
  chunked:bool ->
  'prefix directory ->
  ('m, 'prefix, (((unit * 'a) * 'b) * 'c) * 'd, 'q, 'i, 'o) RPC_service.t ->
  ('a -> 'b -> 'c -> 'd -> 'q -> 'i -> 'o Lwt.t) ->
  'prefix directory

val lwt_register5 :
  chunked:bool ->
  'prefix directory ->
  ('m, 'prefix, ((((unit * 'a) * 'b) * 'c) * 'd) * 'e, 'q, 'i, 'o) RPC_service.t ->
  ('a -> 'b -> 'c -> 'd -> 'e -> 'q -> 'i -> 'o Lwt.t) ->
  'prefix directory

(** Registering dynamic subtree. *)
val register_dynamic_directory :
  ?descr:string ->
  'prefix directory ->
  ('prefix, 'a) RPC_path.t ->
  ('a -> 'a directory Lwt.t) ->
  'prefix directory
end
# 74 "v5.in.ml"


  module Base58 : sig
# 1 "v5/base58.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

type 'a encoding

(** Decoder for a given kind of data. It returns [None] when
    the decoded data does not start with the expected prefix. *)
val simple_decode : 'a encoding -> string -> 'a option

(** Encoder for a given kind of data. *)
val simple_encode : 'a encoding -> 'a -> string

(** An extensible sum-type for decoded data: one case per known
    "prefix". See for instance [Hash.Block_hash.Hash] or
    [Environment.Ed25519.Public_key_hash]. *)
type data = ..

(** Register a new encoding. The function might raise [Invalid_arg] if
    the provided [prefix] overlaps with a previously registered
    prefix. The [to_raw] and [of_raw] are the ad-hoc
    serialisation/deserialisation for the data. The [wrap] should wrap
    the deserialised value into the extensible sum-type [data] (see
    the generic function [decode]). *)
val register_encoding :
  prefix:string ->
  length:int ->
  to_raw:('a -> string) ->
  of_raw:(string -> 'a option) ->
  wrap:('a -> data) ->
  'a encoding

(** Checks that an encoding has a certain prefix and length. *)
val check_encoded_prefix : 'a encoding -> string -> int -> unit

(** Generic decoder. It returns [None] when the decoded data does
    not start with a registered prefix. *)
val decode : string -> data option
end
# 76 "v5.in.ml"


  module S : sig
# 1 "v5/s.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(* Copyright (c) 2020 Metastate AG <hello@metastate.dev>                     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** Generic interface for a datatype with comparison, pretty-printer
    and serialization functions. *)
module type T = sig
  type t

  include Compare.S with type t := t

  val pp : Format.formatter -> t -> unit

  val encoding : t Data_encoding.t

  val to_bytes : t -> bytes

  val of_bytes : bytes -> t option
end

(** Generic interface for a datatype with comparison, pretty-printer,
    serialization functions and a hashing function. *)
module type HASHABLE = sig
  include T

  type hash

  val hash : t -> hash

  val hash_raw : bytes -> hash
end

(** {2 Hash Types} *)

(** The signature of an abstract hash type, as produced by functor
    {!Make_SHA256}. The {!t} type is abstracted for separating the
    various kinds of hashes in the system at typing time. Each type is
    equipped with functions to use it as is of as keys in the database
    or in memory sets and maps. *)

module type MINIMAL_HASH = sig
  type t

  val name : string

  val title : string

  val pp : Format.formatter -> t -> unit

  val pp_short : Format.formatter -> t -> unit

  include Compare.S with type t := t

  val hash_bytes : ?key:bytes -> bytes list -> t

  val hash_string : ?key:string -> string list -> t

  val zero : t
end

module type RAW_DATA = sig
  type t

  val size : int (* in bytes *)

  val to_bytes : t -> bytes

  val of_bytes_opt : bytes -> t option

  val of_bytes_exn : bytes -> t
end

module type B58_DATA = sig
  type t

  val to_b58check : t -> string

  val to_short_b58check : t -> string

  val of_b58check_exn : string -> t

  val of_b58check_opt : string -> t option

  type Base58.data += Data of t

  val b58check_encoding : t Base58.encoding
end

module type ENCODER = sig
  type t

  val encoding : t Data_encoding.t

  val rpc_arg : t RPC_arg.t
end

module type INDEXES_SET = sig
  include Set.S

  val random_elt : t -> elt

  val encoding : t Data_encoding.t
end

module type INDEXES_MAP = sig
  include Map.S

  val encoding : 'a Data_encoding.t -> 'a t Data_encoding.t
end

module type INDEXES = sig
  type t

  module Set : INDEXES_SET with type elt = t

  module Map : INDEXES_MAP with type key = t
end

module type HASH = sig
  include MINIMAL_HASH

  include RAW_DATA with type t := t

  include B58_DATA with type t := t

  include ENCODER with type t := t

  include INDEXES with type t := t
end

module type MERKLE_TREE = sig
  type elt

  include HASH

  val compute : elt list -> t

  val empty : t

  type path = Left of path * t | Right of t * path | Op

  val compute_path : elt list -> int -> path

  val check_path : path -> elt -> t * int

  val path_encoding : path Data_encoding.t
end

module type SIGNATURE_PUBLIC_KEY_HASH = sig
  type t

  val pp : Format.formatter -> t -> unit

  val pp_short : Format.formatter -> t -> unit

  include Compare.S with type t := t

  include RAW_DATA with type t := t

  include B58_DATA with type t := t

  include ENCODER with type t := t

  include INDEXES with type t := t

  val zero : t
end

module type SIGNATURE_PUBLIC_KEY = sig
  type t

  val pp : Format.formatter -> t -> unit

  include Compare.S with type t := t

  include B58_DATA with type t := t

  include ENCODER with type t := t

  type public_key_hash_t

  val hash : t -> public_key_hash_t

  val size : t -> int (* in bytes *)

  val of_bytes_without_validation : bytes -> t option
end

module type SIGNATURE = sig
  module Public_key_hash : SIGNATURE_PUBLIC_KEY_HASH

  module Public_key :
    SIGNATURE_PUBLIC_KEY with type public_key_hash_t := Public_key_hash.t

  type t

  val pp : Format.formatter -> t -> unit

  include RAW_DATA with type t := t

  include Compare.S with type t := t

  include B58_DATA with type t := t

  include ENCODER with type t := t

  val zero : t

  type watermark

  (** Check a signature *)
  val check : ?watermark:watermark -> Public_key.t -> t -> bytes -> bool
end

module type FIELD = sig
  type t

  (** The order of the finite field *)
  val order : Z.t

  (** Minimal number of bytes required to encode a value of the field. *)
  val size_in_bytes : int

  (** [check_bytes bs] returns [true] if [bs] is a correct byte
      representation of a field element *)
  val check_bytes : Bytes.t -> bool

  (** The neutral element for the addition *)
  val zero : t

  (** The neutral element for the multiplication *)
  val one : t

  (** [add a b] returns [a + b mod order] *)
  val add : t -> t -> t

  (** [mul a b] returns [a * b mod order] *)
  val mul : t -> t -> t

  (** [eq a b] returns [true] if [a = b mod order], else [false] *)
  val eq : t -> t -> bool

  (** [negate x] returns [-x mod order]. Equivalently, [negate x] returns the
      unique [y] such that [x + y mod order = 0]
  *)
  val negate : t -> t

  (** [inverse_opt x] returns [x^-1] if [x] is not [0] as an option, else [None] *)
  val inverse_opt : t -> t option

  (** [pow x n] returns [x^n] *)
  val pow : t -> Z.t -> t

  (** From a predefined bytes representation, construct a value t. It is not
      required that to_bytes [(Option.get (of_bytes_opt t)) = t]. By default,
      little endian encoding is used and the given element is modulo the prime
      order *)
  val of_bytes_opt : Bytes.t -> t option

  (** Convert the value t to a bytes representation which can be used for
      hashing for instance. It is not required that [to_bytes (Option.get
      (of_bytes_opt t)) = t]. By default, little endian encoding is used, and
      length of the resulting bytes may vary depending on the order.
  *)
  val to_bytes : t -> Bytes.t
end

(** Module type for the prime fields GF(p) *)
module type PRIME_FIELD = sig
  include FIELD

  (** Actual number of bytes allocated for a value of type t *)
  val size_in_memory : int

  (** [of_z x] builds an element t from the Zarith element [x]. [mod order] is
      applied if [x >= order] or [x < 0]. *)
  val of_z : Z.t -> t

  (** [to_z x] builds a Zarith element, using the decimal representation.
      Arithmetic on the result can be done using the modular functions on
      integers *)
  val to_z : t -> Z.t
end

module type CURVE = sig
  (** The type of the element in the elliptic curve *)
  type t

  (** Actual number of bytes allocated for a value of type t *)
  val size_in_memory : int

  (** The size of a point representation, in bytes *)
  val size_in_bytes : int

  module Scalar : FIELD

  (** Check if a point, represented as a byte array, is on the curve **)
  val check_bytes : Bytes.t -> bool

  (** Attempt to construct a point from a byte array *)
  val of_bytes_opt : Bytes.t -> t option

  (** Return a representation in bytes *)
  val to_bytes : t -> Bytes.t

  (** Zero of the elliptic curve *)
  val zero : t

  (** A fixed generator of the elliptic curve *)
  val one : t

  (** Return the addition of two element *)
  val add : t -> t -> t

  (** Double the element *)
  val double : t -> t

  (** Return the opposite of the element *)
  val negate : t -> t

  (** Return [true] if the two elements are algebraically the same *)
  val eq : t -> t -> bool

  (** Multiply an element by a scalar *)
  val mul : t -> Scalar.t -> t
end
end
# 78 "v5.in.ml"


  module Blake2B : sig
# 1 "v5/blake2B.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** Builds a new Hash type using Blake2B. *)

(** The parameters for creating a new Hash type using
    {!Make_Blake2B}. Both {!name} and {!title} are only informative,
    used in error messages and serializers. *)

module type Name = sig
  val name : string

  val title : string

  val size : int option
end

module type PrefixedName = sig
  include Name

  val b58check_prefix : string
end

(** Builds a new Hash type using Blake2B. *)
module Make_minimal (Name : Name) : S.MINIMAL_HASH

module type Register = sig
  val register_encoding :
    prefix:string ->
    length:int ->
    to_raw:('a -> string) ->
    of_raw:(string -> 'a option) ->
    wrap:('a -> Base58.data) ->
    'a Base58.encoding
end

module Make (Register : Register) (Name : PrefixedName) : S.HASH
end
# 80 "v5.in.ml"


  module Bls12_381 : sig
# 1 "v5/bls12_381.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2020 Metastate AG <hello@metastate.ch>                      *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

module Fr : S.PRIME_FIELD

module G1 : S.CURVE with type Scalar.t = Fr.t

module G2 : S.CURVE with type Scalar.t = Fr.t

val pairing_check : (G1.t * G2.t) list -> bool
end
# 82 "v5.in.ml"


  module Bls_signature : sig
# 1 "v5/bls_signature.mli"
(* MIT License
*
* Copyright (c) 2020 Danny Willems <be.danny.willems@gmail.com>
* Copyright (c) 2020 Nomadic Labs <contact@nomadic-labs.com>
*
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in all
* copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
* SOFTWARE. *)

(** Type of the public keys *)
type pk

(** The size in bytes of a serialized value [pk] *)
val pk_size_in_bytes : int

(** Build a value of type [pk] without performing any check on the input.
    It is safe to use this function when verifying a signature as the
    signature function verifies if the point is in the prime subgroup. Using
    [unsafe_pk_of_bytes] removes a verification performed twice when used
    [pk_of_bytes_exn] or [pk_of_bytes_opt].

    The expected bytes format are the compressed form of a point on G1. *)

val unsafe_pk_of_bytes : Bytes.t -> pk

(** Build a value of type [pk] safely, i.e. the function checks the bytes
    given in parameters represents a point on the curve and in the prime subgroup.
    Return [None] if the bytes are not in the correct format or does
    not represent a point in the prime subgroup.

    The expected bytes format are the compressed form of a point on G1.
*)
val pk_of_bytes_opt : Bytes.t -> pk option

(** Returns a bytes representation of a value of type [pk]. The output is the
    compressed form a the point G1.t the [pk] represents.
*)
val pk_to_bytes : pk -> Bytes.t

(** Type of the signatures *)
type signature

(** The size in bytes of a serialized value [signature] *)
val signature_size_in_bytes : int

(** Build a value of type {!signature} without performing any check on the
    input. It is safe to use this function when verifying a signature as the
    signature function verifies if the point is in the prime subgroup. Using
    {!unsafe_signature_of_bytes} removes a verification performed twice when
    using {!signature_of_bytes_exn} or {!signature_of_bytes_opt}.

    The expected bytes format are the compressed form of a point on G2. *)
val unsafe_signature_of_bytes : Bytes.t -> signature

(** Build a value of type {!signature} safely, i.e. the function checks the
    bytes given as argument represents a point on the curve and in the
    prime subgroup. Return [None] if the bytes are not in the correct format
    or do not represent a point in the prime subgroup.

    The expected bytes format are the compressed form of a point on G2. *)
val signature_of_bytes_opt : Bytes.t -> signature option

(** Returns a bytes representation of a value of type [signature]. The
    output is the compressed form of the {!G2.t} point the [signature]
    represents. *)
val signature_to_bytes : signature -> Bytes.t

(** [aggregate_signature_opt signatures] aggregates the signatures [signatures], following
    https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-bls-signature-04#section-2.8.
    Return [None] if [INVALID] is expected in the specification
*)
val aggregate_signature_opt : signature list -> signature option

val verify : pk -> Bytes.t -> signature -> bool

val aggregate_verify : (pk * Bytes.t) list -> signature -> bool
end
# 84 "v5.in.ml"


  module Ed25519 : sig
# 1 "v5/ed25519.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** Tezos - Ed25519 cryptography *)

include S.SIGNATURE with type watermark := bytes
end
# 86 "v5.in.ml"


  module Secp256k1 : sig
# 1 "v5/secp256k1.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** Tezos - Secp256k1 cryptography *)

include S.SIGNATURE with type watermark := bytes
end
# 88 "v5.in.ml"


  module P256 : sig
# 1 "v5/p256.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** Tezos - P256 cryptography *)

include S.SIGNATURE with type watermark := bytes
end
# 90 "v5.in.ml"


  module Chain_id : sig
# 1 "v5/chain_id.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

include S.HASH
end
# 92 "v5.in.ml"


  module Signature : sig
# 1 "v5/signature.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

type public_key_hash =
  | Ed25519 of Ed25519.Public_key_hash.t
  | Secp256k1 of Secp256k1.Public_key_hash.t
  | P256 of P256.Public_key_hash.t

type public_key =
  | Ed25519 of Ed25519.Public_key.t
  | Secp256k1 of Secp256k1.Public_key.t
  | P256 of P256.Public_key.t

type watermark =
  | Block_header of Chain_id.t
  | Endorsement of Chain_id.t
  | Generic_operation
  | Custom of bytes

include
  S.SIGNATURE
    with type Public_key_hash.t = public_key_hash
     and type Public_key.t = public_key
     and type watermark := watermark
end
# 94 "v5.in.ml"


  module Block_hash : sig
# 1 "v5/block_hash.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** Blocks hashes / IDs. *)
include S.HASH
end
# 96 "v5.in.ml"


  module Operation_hash : sig
# 1 "v5/operation_hash.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** Operations hashes / IDs. *)
include S.HASH
end
# 98 "v5.in.ml"


  module Operation_list_hash : sig
# 1 "v5/operation_list_hash.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** Blocks hashes / IDs. *)
include S.MERKLE_TREE with type elt = Operation_hash.t
end
# 100 "v5.in.ml"


  module Operation_list_list_hash : sig
# 1 "v5/operation_list_list_hash.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** Blocks hashes / IDs. *)
include S.MERKLE_TREE with type elt = Operation_list_hash.t
end
# 102 "v5.in.ml"


  module Protocol_hash : sig
# 1 "v5/protocol_hash.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** Protocol hashes / IDs. *)
include S.HASH
end
# 104 "v5.in.ml"


  module Context_hash : sig
# 1 "v5/context_hash.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** Committed context hashes / IDs. *)
include S.HASH

(** The module for representing the hash version of a context *)
module Version : sig
  (** The type for hash versions. *)
  type t = private int

  include Compare.S with type t := t

  (** [pp] is the pretty-printer for hash versions. *)
  val pp : Format.formatter -> t -> unit

  (** [encoding] is the data encoding for hash versions. *)
  val encoding : t Data_encoding.t

  (** [of_int i] is the hash version equivalent to [i].
      This function raises [Invalid_argument] if [i] is not an unsigned 16-bit integer. *)
  val of_int : int -> t
end

type version = Version.t
end
# 106 "v5.in.ml"


  module Sapling : sig
# 1 "v5/sapling.mli"
(* The MIT License (MIT)
 *
 * Copyright (c) 2019-2020 Nomadic Labs <contact@nomadic-labs.com>
 *
 * Permission is hereby granted, free of charge, to any person obtaining a copy
 * of this software and associated documentation files (the "Software"), to deal
 * in the Software without restriction, including without limitation the rights
 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
 * copies of the Software, and to permit persons to whom the Software is
 * furnished to do so, subject to the following conditions:
 *
 * The above copyright notice and this permission notice shall be included in all
 * copies or substantial portions of the Software.
 *
 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
 * SOFTWARE. *)

module Ciphertext : sig
  type t

  val encoding : t Data_encoding.t

  val get_memo_size : t -> int
end

module Commitment : sig
  type t

  val encoding : t Data_encoding.t

  val valid_position : int64 -> bool
end

module CV : sig
  type t

  val encoding : t Data_encoding.t
end

module Hash : sig
  type t

  val compare : t -> t -> int

  val encoding : t Data_encoding.t

  val to_bytes : t -> Bytes.t

  val of_bytes_exn : Bytes.t -> t

  val uncommitted : height:int -> t

  val merkle_hash : height:int -> t -> t -> t

  val of_commitment : Commitment.t -> t

  val to_commitment : t -> Commitment.t
end

module Nullifier : sig
  type t

  val encoding : t Data_encoding.t

  val compare : t -> t -> int
end

module UTXO : sig
  type rk

  type spend_proof

  type spend_sig

  type output_proof

  type input = {
    cv : CV.t;
    nf : Nullifier.t;
    rk : rk;
    proof_i : spend_proof;
    signature : spend_sig;
  }

  val input_encoding : input Data_encoding.t

  type output = {
    cm : Commitment.t;
    proof_o : output_proof;
    ciphertext : Ciphertext.t;
  }

  val output_encoding : output Data_encoding.t

  type binding_sig

  type transaction = {
    inputs : input list;
    outputs : output list;
    binding_sig : binding_sig;
    balance : Int64.t;
    root : Hash.t;
    bound_data : string;
  }

  val transaction_encoding : transaction Data_encoding.t

  val binding_sig_encoding : binding_sig Data_encoding.t

  module Legacy : sig
    type transaction_new = transaction

    type transaction = {
      inputs : input list;
      outputs : output list;
      binding_sig : binding_sig;
      balance : Int64.t;
      root : Hash.t;
    }

    val transaction_encoding : transaction Data_encoding.t

    val cast : transaction -> transaction_new
  end
end

module Verification : sig
  type t

  val with_verification_ctx : (t -> 'a) -> 'a

  val check_spend : t -> UTXO.input -> Hash.t -> string -> bool

  val check_output : t -> UTXO.output -> bool

  val final_check : t -> UTXO.transaction -> string -> bool
end
end
# 108 "v5.in.ml"


  module Timelock : sig
# 1 "v5/timelock.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2020 Nomadic Labs, <contact@nomadic-labs.com                *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** Contains a value (the decryption of the ciphertext) that can be provably
recovered in [time] sequential operation or with the rsa secret. *)
type chest

val chest_encoding : chest Data_encoding.t

(** Provably opens a chest in a short time. *)
type chest_key

val chest_key_encoding : chest_key Data_encoding.t

(** Result of the opening of a chest.
    The opening can fail in two way which we distinguish to blame the right person.
    One can provide a false unlocked_value or unlocked_proof, in which case
    we return [Bogus_opening] and the provider of the chest key is at fault.
    Otherwise, one can lock the wrong key or put garbage in the ciphertext in which case
    we return [Bogus_cipher] and the provider of the chest is at fault.
    Otherwise we return [Correct payload] where payload was what had
    originally been put in the chest. *)
type opening_result = Correct of Bytes.t | Bogus_cipher | Bogus_opening

(** Takes a chest, chest key and time and tries to recover the underlying
    plaintext. See the documentation of opening_result. *)
val open_chest : chest -> chest_key -> time:int -> opening_result

(** Gives the size of the underlying plaintext in a chest in bytes.
    Used for gas accounting*)
val get_plaintext_size : chest -> int
end
# 110 "v5.in.ml"


  module Micheline : sig
# 1 "v5/micheline.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

type annot = string list

type ('l, 'p) node =
  | Int of 'l * Z.t
  | String of 'l * string
  | Bytes of 'l * bytes
  | Prim of 'l * 'p * ('l, 'p) node list * annot
  | Seq of 'l * ('l, 'p) node list

type 'p canonical

type canonical_location

val dummy_location : canonical_location

val root : 'p canonical -> (canonical_location, 'p) node

val canonical_location_encoding : canonical_location Data_encoding.encoding

val canonical_encoding :
  variant:string ->
  'l Data_encoding.encoding ->
  'l canonical Data_encoding.encoding

val location : ('l, 'p) node -> 'l

val annotations : ('l, 'p) node -> string list

val strip_locations : (_, 'p) node -> 'p canonical
end
# 112 "v5.in.ml"


  module Block_header : sig
# 1 "v5/block_header.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

type shell_header = {
  level : Int32.t;  (** Height of the block, from the genesis block. *)
  proto_level : int;
      (** Number (uint8) of protocol changes since genesis modulo 256. *)
  predecessor : Block_hash.t;  (** Hash of the preceding block. *)
  timestamp : Time.t;
      (** Timestamp at which the block is claimed to have been created. *)
  validation_passes : int;
      (** Number (uint8) of validation passes (also number of lists of operations). *)
  operations_hash : Operation_list_list_hash.t;
      (** Hash of the list of lists (actually root hashes of merkle trees)
          of operations included in the block. There is one list of
          operations per validation pass. *)
  fitness : Bytes.t list;
      (** A sequence of sequences of unsigned bytes, ordered by length and
          then lexicographically. It represents the claimed fitness of the
          chain ending in this block. *)
  context : Context_hash.t;
      (** Hash of the state of the context after application of this block. *)
}

val shell_header_encoding : shell_header Data_encoding.t

type t = {shell : shell_header; protocol_data : bytes}

include S.HASHABLE with type t := t and type hash := Block_hash.t
end
# 114 "v5.in.ml"


  module Bounded : sig
# 1 "v5/bounded.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2022 Trili Tech, <contact@trili.tech>                       *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** This module implements bounded (or refined) versions of data types. *)

(** Bounded [int32]. *)
module Int32 : sig
  (** Bounds.

      Formally each [B : BOUND] represents the interval of all integers
      between [B.min_int] and [B.max_int]. This is a closed interval, e.g.
      the endpoints are included.

      Intervals can be empty, for example [struct let min_int = 1; let max_int
      0 end] is empty.
   *)
  module type BOUNDS = sig
    val min_int : int32

    val max_int : int32
  end

  module type S = sig
    type t

    include BOUNDS

    include Compare.S with type t := t

    val encoding : t Data_encoding.t

    val to_int32 : t -> int32

    val of_int32 : int32 -> t option
  end

  (** Produce a module [_ : S] of bounded integers.

      If the given interval is empty, [S.t] is the empty type, and [of_int32]
      returns [Error] for all inputs.

      {4 Encoding}
      [(Make B).encoding] is based on the underlying [int32] encoding. This
      allow future compatiblity with larger bounds, at the price of addding 1-3
      redundant bytes to each message.
   *)
  module Make (_ : BOUNDS) : S
end
end
# 116 "v5.in.ml"


  module Fitness : sig
# 1 "v5/fitness.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** The fitness of a block is defined as a list of bytes,
    compared in a lexicographical order (longer list are greater). *)
include S.T with type t = bytes list
end
# 118 "v5.in.ml"


  module Operation : sig
# 1 "v5/operation.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** Tezos operations. *)

type shell_header = {
  branch : Block_hash.t;
      (** The operation is only valid in a branch containing the
      block [branch]. *)
}

val shell_header_encoding : shell_header Data_encoding.t

type t = {shell : shell_header; proto : bytes}

include S.HASHABLE with type t := t and type hash := Operation_hash.t
end
# 120 "v5.in.ml"


  module Context : sig
# 1 "v5/context.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** View over the context store, restricted to types, access and
    functional manipulation of an existing context. *)

(* Copy/paste of Environment_context_sigs.Context.S *)

(** The tree depth of a fold. See the [fold] function for more information. *)
type depth = [`Eq of int | `Le of int | `Lt of int | `Ge of int | `Gt of int]

(** The type for context configuration. *)
type config

(** The equality function for context configurations. If two context have the
    same configuration, they will generate the same context hashes. *)
val equal_config : config -> config -> bool

module type VIEW = sig
  (** The type for context views. *)
  type t

  (** The type for context keys. *)
  type key

  (** The type for context values. *)
  type value

  (** The type for context trees. *)
  type tree

  (** {2 Getters} *)

  (** [mem t k] is an Lwt promise that resolves to [true] iff [k] is bound
      to a value in [t]. *)
  val mem : t -> key -> bool Lwt.t

  (** [mem_tree t k] is like {!mem} but for trees. *)
  val mem_tree : t -> key -> bool Lwt.t

  (** [find t k] is an Lwt promise that resolves to [Some v] if [k] is
      bound to the value [v] in [t] and [None] otherwise. *)
  val find : t -> key -> value option Lwt.t

  (** [find_tree t k] is like {!find} but for trees. *)
  val find_tree : t -> key -> tree option Lwt.t

  (** [list t key] is the list of files and sub-nodes stored under [k] in [t].
      The result order is not specified but is stable.

      [offset] and [length] are used for pagination. *)
  val list :
    t -> ?offset:int -> ?length:int -> key -> (string * tree) list Lwt.t

  (** [length t key] is an Lwt promise that resolves to the number of
      files and sub-nodes stored under [k] in [t].

      It is equivalent to [list t k >|= List.length] but has a
      constant-time complexity. *)
  val length : t -> key -> int Lwt.t

  (** {2 Setters} *)

  (** [add t k v] is an Lwt promise that resolves to [c] such that:

    - [k] is bound to [v] in [c];
    - and [c] is similar to [t] otherwise.

    If [k] was already bound in [t] to a value that is physically equal
    to [v], the result of the function is a promise that resolves to
    [t]. Otherwise, the previous binding of [k] in [t] disappears. *)
  val add : t -> key -> value -> t Lwt.t

  (** [add_tree] is like {!add} but for trees. *)
  val add_tree : t -> key -> tree -> t Lwt.t

  (** [remove t k v] is an Lwt promise that resolves to [c] such that:

    - [k] is unbound in [c];
    - and [c] is similar to [t] otherwise. *)
  val remove : t -> key -> t Lwt.t

  (** {2 Folding} *)

  (** [fold ?depth t root ~order ~init ~f] recursively folds over the trees
      and values of [t]. The [f] callbacks are called with a key relative
      to [root]. [f] is never called with an empty key for values; i.e.,
      folding over a value is a no-op.

      The depth is 0-indexed. If [depth] is set (by default it is not), then [f]
      is only called when the conditions described by the parameter is true:

      - [Eq d] folds over nodes and values of depth exactly [d].
      - [Lt d] folds over nodes and values of depth strictly less than [d].
      - [Le d] folds over nodes and values of depth less than or equal to [d].
      - [Gt d] folds over nodes and values of depth strictly more than [d].
      - [Ge d] folds over nodes and values of depth more than or equal to [d].

      If [order] is [`Sorted] (the default), the elements are traversed in
      lexicographic order of their keys. For large nodes, it is memory-consuming,
      use [`Undefined] for a more memory efficient [fold]. *)
  val fold :
    ?depth:depth ->
    t ->
    key ->
    order:[`Sorted | `Undefined] ->
    init:'a ->
    f:(key -> tree -> 'a -> 'a Lwt.t) ->
    'a Lwt.t

  (** {2 Configuration} *)

  (** [config t] is [t]'s hash configuration. *)
  val config : t -> config
end

module Kind : sig
  type t = [`Value | `Tree]
end

module type TREE = sig
  (** [Tree] provides immutable, in-memory partial mirror of the
      context, with lazy reads and delayed writes. The trees are Merkle
      trees that carry the same hash as the part of the context they
      mirror.

      Trees are immutable and non-persistent (they disappear if the
      host crash), held in memory for efficiency, where reads are done
      lazily and writes are done only when needed, e.g. on
      [Context.commit]. If a key is modified twice, only the last
      value will be written to disk on commit. *)

  (** The type for context views. *)
  type t

  (** The type for context trees. *)
  type tree

  include VIEW with type t := tree and type tree := tree

  (** [empty _] is the empty tree. *)
  val empty : t -> tree

  (** [is_empty t] is true iff [t] is [empty _]. *)
  val is_empty : tree -> bool

  (** [kind t] is [t]'s kind. It's either a tree node or a leaf
      value. *)
  val kind : tree -> Kind.t

  (** [to_value t] is an Lwt promise that resolves to [Some v] if [t]
      is a leaf tree and [None] otherwise. It is equivalent to [find t
      []]. *)
  val to_value : tree -> value option Lwt.t

  (** [of_value _ v] is an Lwt promise that resolves to the leaf tree
      [v]. Is is equivalent to [add (empty _) [] v]. *)
  val of_value : t -> value -> tree Lwt.t

  (** [hash t] is [t]'s Merkle hash. *)
  val hash : tree -> Context_hash.t

  (** [equal x y] is true iff [x] and [y] have the same Merkle hash. *)
  val equal : tree -> tree -> bool

  (** {2 Caches} *)

  (** [clear ?depth t] clears all caches in the tree [t] for subtrees with a
      depth higher than [depth]. If [depth] is not set, all of the subtrees are
      cleared. *)
  val clear : ?depth:int -> tree -> unit
end

module Proof : sig
  (** Proofs are compact representations of trees which can be shared
      between peers.

      This is expected to be used as follows:

      - A first peer runs a function [f] over a tree [t]. While performing
        this computation, it records: the hash of [t] (called [before]
        below), the hash of [f t] (called [after] below) and a subset of [t]
        which is needed to replay [f] without any access to the first peer's
        storage. Once done, all these informations are packed into a proof of
        type [t] that is sent to the second peer.

      - The second peer generates an initial tree [t'] from [p] and computes
        [f t']. Once done, it compares [t']'s hash and [f t']'s hash to [before]
        and [after]. If they match, they know that the result state [f t'] is a
        valid context state, without having to have access to the full storage
        of the first peer. *)

  (** The type for file and directory names. *)
  type step = string

  (** The type for values. *)
  type value = bytes

  (** The type of indices for inodes' children. *)
  type index = int

  (** The type for hashes. *)
  type hash = Context_hash.t

  (** The type for (internal) inode proofs.

      These proofs encode large directories into a tree-like structure. This
      reflects irmin-pack's way of representing nodes and computing
      hashes (tree-like representations for nodes scales better than flat
      representations).

      [length] is the total number of entries in the children of the inode.
      It's the size of the "flattened" version of that inode. [length] can be
      used to prove the correctness of operations such [Tree.length] and
      [Tree.list ~offset ~length] in an efficient way.

      In proofs with [version.is_binary = false], an inode at depth 0 has a
      [length] of at least [257]. Below that threshold a [Node] tag is used in
      [tree]. That threshold is [3] when [version.is_binary = true].

      [proofs] contains the children proofs. It is a sparse list of ['a] values.
      These values are associated to their index in the list, and the list is
      kept sorted in increasing order of indices. ['a] can be a concrete proof
      or a hash of that proof.

      In proofs with [version.is_binary = true], inodes have at most 2 proofs
      (indexed 0 or 1).

      In proofs with [version.is_binary = false], inodes have at most 32 proofs
      (indexed from 0 to 31). *)
  type 'a inode = {length : int; proofs : (index * 'a) list}

  (** The type for inode extenders.

      An extender is a compact representation of a sequence of [inode] which
      contain only one child. As for inodes, The ['a] parameter can be a
      concrete proof or a hash of that proof.

      If an inode proof contains singleton children [i_0, ..., i_n] such as:
      [{length=l; proofs = [ (i_0, {proofs = ... { proofs = [ (i_n, p) ] }})]}],
      then it is compressed into the inode extender
      [{length=l; segment = [i_0;..;i_n]; proof=p}] sharing the same lenght [l]
      and final proof [p]. *)
  type 'a inode_extender = {length : int; segment : index list; proof : 'a}

  (** The type for compressed and partial Merkle tree proofs.

      Tree proofs do not provide any guarantee with the ordering of
      computations. For instance, if two effects commute, they won't be
      distinguishable by this kind of proofs.

      [Value v] proves that a value [v] exists in the store.

      [Blinded_value h] proves a value with hash [h] exists in the store.

      [Node ls] proves that a a "flat" node containing the list of files [ls]
      exists in the store.

      In proofs with [version.is_binary = true], the length of [ls] is at most
      2.

      In proofs with [version.is_binary = false], the length of [ls] is at most
      256.

      [Blinded_node h] proves that a node with hash [h] exists in the store.

      [Inode i] proves that an inode [i] exists in the store.

      [Extender e] proves that an inode extender [e] exist in the store. *)
  type tree =
    | Value of value
    | Blinded_value of hash
    | Node of (step * tree) list
    | Blinded_node of hash
    | Inode of inode_tree inode
    | Extender of inode_tree inode_extender

  (** The type for inode trees. It is a subset of [tree], limited to nodes.

      [Blinded_inode h] proves that an inode with hash [h] exists in the store.

      [Inode_values ls] is simliar to trees' [Node].

      [Inode_tree i] is similar to tree's [Inode].

      [Inode_extender e] is similar to trees' [Extender].  *)
  and inode_tree =
    | Blinded_inode of hash
    | Inode_values of (step * tree) list
    | Inode_tree of inode_tree inode
    | Inode_extender of inode_tree inode_extender

  (** The type for kinded hashes. *)
  type kinded_hash = [`Value of hash | `Node of hash]

  module Stream : sig
    (** Stream proofs represent an explicit traversal of a Merle tree proof.
        Every element (a node, a value, or a shallow pointer) met is first
        "compressed" by shallowing its children and then recorded in the proof.

        As stream proofs directly encode the recursive construction of the
        Merkle root hash is slightly simpler to implement: verifier simply
        need to hash the compressed elements lazily, without any memory or
        choice.

        Moreover, the minimality of stream proofs is trivial to check.
        Once the computation has consumed the compressed elements required,
        it is sufficient to check that no more compressed elements remain
        in the proof.

        However, as the compressed elements contain all the hashes of their
        shallow children, the size of stream proofs is larger
        (at least double in size in practice) than tree proofs, which only
        contains the hash for intermediate shallow pointers. *)

    (** The type for elements of stream proofs.

        [Value v] is a proof that the next element read in the store is the
        value [v].

        [Node n] is a proof that the next element read in the store is the
        node [n].

        [Inode i] is a proof that the next element read in the store is the
        inode [i].

        [Inode_extender e] is a proof that the next element read in the store
        is the node extender [e]. *)
    type elt =
      | Value of value
      | Node of (step * kinded_hash) list
      | Inode of hash inode
      | Inode_extender of hash inode_extender

    (** The type for stream proofs.

        The sequance [e_1 ... e_n] proves that the [e_1], ..., [e_n] are
        read in the store in sequence. *)
    type t = elt Seq.t
  end

  type stream = Stream.t

  (** The type for proofs of kind ['a].

      A proof [p] proves that the state advanced from [before p] to
      [after p]. [state p]'s hash is [before p], and [state p] contains
      the minimal information for the computation to reach [after p].

      [version p] is the proof version, it packs several informations.

      [is_stream] discriminates between the stream proofs and the tree proofs.

      [is_binary] discriminates between proofs emitted from
      [Tezos_context(_memory).Context_binary] and
      [Tezos_context(_memory).Context].

      It will also help discriminate between the data encoding techniques used.

      The version is meant to be decoded and encoded using the
      {!Tezos_context_helpers.Context.decode_proof_version} and
      {!Tezos_context_helpers.Context.encode_proof_version}. *)
  type 'a t = {
    version : int;
    before : kinded_hash;
    after : kinded_hash;
    state : 'a;
  }
end

include VIEW with type key = string list and type value = bytes

module Tree :
  TREE
    with type t := t
     and type key := key
     and type value := value
     and type tree := tree

(** [verify p f] runs [f] in checking mode. [f] is a function that takes a
    tree as input and returns a new version of the tree and a result. [p] is a
    proof, that is a minimal representation of the tree that contains what [f]
    should be expecting.

    Therefore, contrary to trees found in a storage, the contents of the trees
    passed to [f] may not be available. For this reason, looking up a value at
    some [path] can now produce three distinct outcomes:
    - A value [v] is present in the proof [p] and returned : [find tree path]
      is a promise returning [Some v];
    - [path] is known to have no value in [tree] : [find tree path] is a
      promise returning [None]; and
    - [path] is known to have a value in [tree] but [p] does not provide it
      because [f] should not need it: [verify] returns an error classifying
      [path] as an invalid path (see below).

    The same semantics apply to all operations on the tree [t] passed to [f]
    and on all operations on the trees built from [f].

    The generated tree is the tree after [f] has completed. That tree is
    disconnected from any storage (i.e. [index]). It is possible to run
    operations on it as long as they don't require loading shallowed subtrees.

    The result is [Error (`Msg _)] if the proof is rejected:
    - For tree proofs: when [p.before] is different from the hash of
      [p.state];
    - For tree and stream proofs: when [p.after] is different from the hash
      of [f p.state];
    - For tree proofs: when [f p.state] tries to access invalid paths in
      [p.state];
    - For stream proofs: when the proof is not consumed in the exact same
      order it was produced;
    - For stream proofs: when the proof is too short or not empty once [f] is
      done.

    @raise Failure if the proof version is invalid or incompatible with the
    verifier. *)
type ('proof, 'result) verifier :=
  'proof ->
  (tree -> (tree * 'result) Lwt.t) ->
  ( tree * 'result,
    [ `Proof_mismatch of string
    | `Stream_too_long of string
    | `Stream_too_short of string ] )
  result
  Lwt.t

(** The type for tree proofs.

      Guarantee that the given computation performs exactly the same state
      operations as the generating computation, *in some order*. *)
type tree_proof := Proof.tree Proof.t

(** [verify_tree_proof] is the verifier of tree proofs. *)
val verify_tree_proof : (tree_proof, 'a) verifier

(** The type for stream proofs.

      Guarantee that the given computation performs exactly the same state
      operations as the generating computation, in the exact same order. *)
type stream_proof := Proof.stream Proof.t

(** [verify_stream] is the verifier of stream proofs. *)
val verify_stream_proof : (stream_proof, 'a) verifier

module type PROOF_ENCODING = sig
  val tree_proof_encoding : tree_proof Data_encoding.t

  val stream_proof_encoding : stream_proof Data_encoding.t
end

(** Proof encoding for binary tree Merkle proofs *)
module Proof_encoding : sig
  (** V1: using vanilla Data_encoding. Easier to parse by non-OCaml programs
      but less efficient *)
  module V1 : sig
    (** Encoding for 32-tree proofs *)
    module Tree32 : PROOF_ENCODING

    (** Encoding for binary tree proofs *)
    module Tree2 : PROOF_ENCODING
  end

  (** V2 : using Compact_encoding.  Smaller than V1 but more complex parser
      is required. *)
  module V2 : sig
    (** Encoding for 32-tree proofs *)
    module Tree32 : PROOF_ENCODING

    (** Encoding for binary tree proofs *)
    module Tree2 : PROOF_ENCODING
  end
end

val complete : t -> string -> string list Lwt.t

(** Get the hash version used for the context *)
val get_hash_version : t -> Context_hash.Version.t

(** Set the hash version used for the context.  It may recalculate the hashes
    of the whole context, which can be a long process.
    Returns an Error if the hash version is unsupported. *)
val set_hash_version :
  t -> Context_hash.Version.t -> t Error_monad.shell_tzresult Lwt.t

type cache_key

type cache_value = ..

module type CACHE = sig
  (** Type for context view. A context contains a cache. A cache is
     made of subcaches. Each subcache has its own size limit. The
     limit of its subcache is called a layout and can be initialized
     via the [set_cache_layout] function. *)
  type t

  (** Size for subcaches and values of the cache. Units are not
     specified and left to the economic protocol. *)
  type size

  (** Index type to index caches. *)
  type index

  (** Identifier type for keys. *)
  type identifier

  (** A key uniquely identifies a cached [value] in some subcache. *)
  type key

  (** Cached values inhabit an extensible type. *)
  type value = ..

  (** [key_of_identifier ~cache_index identifier] builds a key from the
      [cache_index] and the [identifier].

      No check are made to ensure the validity of the index.  *)
  val key_of_identifier : cache_index:index -> identifier -> key

  (** [identifier_of_key key] returns the identifier associated to the
      [key]. *)
  val identifier_of_key : key -> identifier

  (** [pp fmt cache] is a pretty printter for a [cache]. *)
  val pp : Format.formatter -> t -> unit

  (** [find ctxt k = Some v] if [v] is the value associated to [k] in
     in the cache where [k] is. Returns [None] if there is no such
     value in the cache of [k].  This function is in the Lwt monad
     because if the value has not been constructed, it is constructed
     on the fly. *)
  val find : t -> key -> value option Lwt.t

  (** [set_cache_layout ctxt layout] sets the caches of [ctxt] to
     comply with given [layout]. If there was already a cache in
     [ctxt], it is erased by the new layout.

     Otherwise, a fresh collection of empty caches is reconstructed
     from the new [layout]. Notice that cache [key]s are invalidated
     in that case, i.e., [get t k] will return [None]. *)
  val set_cache_layout : t -> size list -> t Lwt.t

  (** [update ctxt k (Some (e, size))] returns a cache where the value
      [e] of [size] is associated to key [k]. If [k] is already in the
      cache, the cache entry is updated.

      [update ctxt k None] removes [k] from the cache. *)
  val update : t -> key -> (value * size) option -> t

  (** [sync ctxt ~cache_nonce] updates the context with the domain of
     the cache computed so far. Such function is expected to be called
     at the end of the validation of a block, when there is no more
     accesses to the cache.

     [cache_nonce] identifies the block that introduced new cache
     entries. The nonce should identify uniquely the block which
     modifies this value. It cannot be the block hash for circularity
     reasons: The value of the nonce is stored onto the context and
     consequently influences the context hash of the very same
     block. Such nonce cannot be determined by the shell and its
     computation is delegated to the economic protocol.
  *)
  val sync : t -> cache_nonce:Bytes.t -> t Lwt.t

  (** [clear ctxt] removes all cache entries. *)
  val clear : t -> t

  (** {3 Cache introspection} *)

  (** [list_keys ctxt ~cache_index] returns the list of cached keys in
     cache numbered [cache_index] along with their respective
     [size]. The returned list is sorted in terms of their age in the
     cache, the oldest coming first. If [cache_index] is invalid,
     then this function returns [None]. *)
  val list_keys : t -> cache_index:index -> (key * size) list option

  (** [key_rank index ctxt key] returns the number of cached value older
       than the given [key]; or, [None] if the [key] is not a cache key. *)
  val key_rank : t -> key -> int option

  (** {3 Cache helpers for RPCs} *)

  (** [future_cache_expectation ctxt ~time_in_blocks] returns [ctxt] except
      that the entries of the caches that are presumably too old to
      still be in the caches in [n_blocks] are removed.

      This function is based on a heuristic. The context maintains
      the median of the number of removed entries: this number is
      multipled by `n_blocks` to determine the entries that are
      likely to be removed in `n_blocks`. *)
  val future_cache_expectation : t -> time_in_blocks:int -> t

  (** [cache_size ctxt ~cache_index] returns an overapproximation of
      the size of the cache. Returns [None] if [cache_index] is not a
      valid cache index. *)
  val cache_size : t -> cache_index:index -> size option

  (** [cache_size_limit ctxt ~cache_index] returns the maximal size of
      the cache indexed by [cache_index]. Returns [None] if
      [cache_index] is not a valid cache index. *)
  val cache_size_limit : t -> cache_index:index -> size option
end

module Cache :
  CACHE
    with type t := t
     and type size := int
     and type index := int
     and type identifier := string
     and type key = cache_key
     and type value = cache_value
end
# 122 "v5.in.ml"


  module Updater : sig
# 1 "v5/updater.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

(** Tezos Protocol Environment - Protocol updater. *)

(** Validation result: the record returned by the protocol
    on the successful validation of a block. *)
type validation_result = {
  context : Context.t;
      (** The resulting context, it will be used for the next block. *)
  fitness : Fitness.t;
      (** The effective fitness of the block (to be compared with the one
      'announced' in the block header). *)
  message : string option;
      (** An optional informative message, akin to a 'git commit' message,
      which can be attached to the [context] when it's being commited. *)
  max_operations_ttl : int;
      (** The "time-to-live" of operations for the next block: any
      operation whose 'branch' is older than 'ttl' blocks in the past
      cannot be included in the next block. *)
  last_allowed_fork_level : Int32.t;
      (** The level of the last block for which the node might consider an
      alternate branch. The shell should consider as invalid any branch
      whose fork point is older (has a lower level) than the
      given value. *)
}

type quota = {
  max_size : int;
      (** The maximum size (in bytes) of the serialized list of
      operations. *)
  max_op : int option;
      (** The maximum number of operations in a block.
      [None] means no limit. *)
}

type rpc_context = {
  block_hash : Block_hash.t;
  block_header : Block_header.shell_header;
  context : Context.t;
}

(** This is the signature of a Tezos protocol implementation. It has
    access to the standard library and the Environment module. *)
module type PROTOCOL = sig
  (** The maximum size of a block header in bytes. *)
  val max_block_length : int

  (** The maximum size of an {!operation} in bytes. This value is bigger than the size
      of the bytes required for {!operation_data}, because this value accounts
      for the shell header. *)
  val max_operation_data_length : int

  (** Operations quota for each validation pass. The length of the
     list denotes the number of validation passes. *)
  val validation_passes : quota list

  (** The economic protocol-specific type of blocks. *)
  type block_header_data

  (** Encoding for economic protocol-specific part of block headers. *)
  val block_header_data_encoding : block_header_data Data_encoding.t

  (** A fully parsed block header. *)
  type block_header = {
    shell : Block_header.shell_header;
    protocol_data : block_header_data;
  }

  (** Economic protocol-specific side information computed by the
     protocol during the validation of a block. Should not include
     information about the evaluation of operations which is handled
     separately by {!operation_metadata}. To be used as an execution
     trace by tools (client, indexer). Not necessary for
     validation. *)
  type block_header_metadata

  (** Encoding for economic protocol-specific block metadata. *)
  val block_header_metadata_encoding : block_header_metadata Data_encoding.t

  (** The economic protocol-specific type of operations. *)
  type operation_data

  (** Economic protocol-specific side information computed by the
     protocol during the validation of each operation, to be used
     conjointly with {!block_header_metadata}. *)
  type operation_receipt

  (** A fully parsed operation. *)
  type operation = {
    shell : Operation.shell_header;
    protocol_data : operation_data;
  }

  (** Encoding for economoic protocol-specific operation data. *)
  val operation_data_encoding : operation_data Data_encoding.t

  (** Encoding for eonomic protocol-specific operation receipts. *)
  val operation_receipt_encoding : operation_receipt Data_encoding.t

  (** Encoding that mixes an operation data and its receipt. *)
  val operation_data_and_receipt_encoding :
    (operation_data * operation_receipt) Data_encoding.t

  (** [acceptable_passes op] lists the validation passes in which the
     input operation [op] can appear. For instance, it results in
     [[0]] if [op] only belongs to the first pass. An answer of [[]]
     means that the [op] is ill-formed and cannot be included at
     all in a block. *)
  val acceptable_passes : operation -> int list

  (** [relative_position_within_block op1 op2] provides a partial and
     strict order of operations within a block. It is intended to be
     used as an argument to {!List.sort} (and other sorting/ordering
     functions) to arrange a set of operations into a sequence, the
     order of which is valid for the protocol.

     A negative (respectively, positive) results means that [op1]
     should appear before (and, respectively, after) [op2] in a
     block. This function does not provide a total ordering on the
     operations: a result of [0] entails that the protocol does not
     impose any preferences to the order in which [op1] and [op2]
     should be included in a block.

     {b Caveat Emptor!} [relative_position_within_block o1 o2 = 0]
     does NOT imply that [o1] is equal to [o2] in any way.
     Consequently, it {e MUST NOT} be used as a [compare] component of
     an {!Stdlib.Map.OrderedType}, or any such collection which relies
     on a total comparison function. *)
  val relative_position_within_block : operation -> operation -> int

  (** A functional state that is transmitted through the steps of a
     block validation sequence: it can be created by any of the
     [begin_x] functions below, and its final value is produced by
     {!finalize_block}. It must retain the current state of the store,
     and it can also contain additional information that must be
     remembered during the validation process. Said extra content must
     however be immutable: validator or baker implementations are
     allowed to pause, replay or backtrack throughout validation
     steps. *)
  type validation_state

  (** [begin_partial_application cid ctxt] checks that a block is
     well-formed in a given context. This function should run quickly,
     as its main use is to reject bad blocks from the chain as early
     as possible. The input [ancestor_context] is expected to result
     from the application of an ancestor block of the current head
     with the same economic protocol. Said ancestor block is also
     required to be more recent (i.e., it has a greater level), than
     the current head's "last_allowed_fork_level".

      The resulting `validation_state` will be used for multi-pass
     validation. *)
  val begin_partial_application :
    chain_id:Chain_id.t ->
    ancestor_context:Context.t ->
    predecessor_timestamp:Time.t ->
    predecessor_fitness:Fitness.t ->
    block_header ->
    validation_state tzresult Lwt.t

  (** [begin_application chain_id ... bh] defines the first step in a
     block validation sequence. It initializes a validation context
     for validating a block, whose header is [bh]. *)
  val begin_application :
    chain_id:Chain_id.t ->
    predecessor_context:Context.t ->
    predecessor_timestamp:Time.t ->
    predecessor_fitness:Fitness.t ->
    block_header ->
    validation_state tzresult Lwt.t

  (** [begin_construction] initializes a validation context for
     constructing a new block, as opposed to validating an existing
     block.

     This function can be used in two modes: with and without the
     optional [protocol_data] argument. With the latter, it is used by
     bakers to start the process for baking a new block. Without it,
     is used by the Shell's prevalidator to construct a virtual block,
     which carries the contents of the pre-applied operations of the
     mempool.

     When [protocol_data] is provided, it is not expected to be the
     final value of the field of the same name in the {!type-block_header}
     of the block eventually being baked. Instead, it is expected to
     construct a protocol-specific, good enough, "prototype" of its
     final value. For instance, if the economic protocol specifies
     that its block headers include a signature, [protocol_data] must
     include a (faked) signature.

     Moreover, these prototypes should not be distinguishable after
     the application of [begin_construction]: the function must
     produce the exact same context regardless of being passed a
     prototype, or an "equivalent-but-complete" header. *)
  val begin_construction :
    chain_id:Chain_id.t ->
    predecessor_context:Context.t ->
    predecessor_timestamp:Time.t ->
    predecessor_level:Int32.t ->
    predecessor_fitness:Fitness.t ->
    predecessor:Block_hash.t ->
    timestamp:Time.t ->
    ?protocol_data:block_header_data ->
    unit ->
    validation_state tzresult Lwt.t

  (** [apply_operation vs op] applies the input operation [op] on top
     of the given {!validation_state} [vs]. It must be called after
     {!begin_application} or {!begin_construction}, and before
     {!finalize_block}, for each operation in a block. On a successful
     application, it returns a pair consisting of the resulting
     [validation_state], and the corresponding [operation_receipt]. *)
  val apply_operation :
    validation_state ->
    operation ->
    (validation_state * operation_receipt) tzresult Lwt.t

  (** [finalize_block vs] finalizes the context resulting from the
     application of the contents of the block being validated.

      If there is no protocol migration, i.e., if the block being
     applied is not the last block of the current economic protocol, the
     resulting context can be used in the future as input for the
     validation of its successor blocks. *)
  val finalize_block :
    validation_state ->
    Block_header.shell_header option ->
    (validation_result * block_header_metadata) tzresult Lwt.t

  (** [rpc_services] provides the list of remote procedures exported
     by this protocol implementation. *)
  val rpc_services : rpc_context RPC_directory.t

  (** [init ctxt hd] initializes the context, or upgrades the context
     after a protocol amendment. This function receives as arguments
     the context [ctxt] resulting from the application of the block
     that triggered the amendment, as well as its header [hd]. This
     function should fail if the "protocol stitching", i.e., the
     transition from a valid previous protocol to the one being
     activated, has not been implemented. *)
  val init :
    Context.t -> Block_header.shell_header -> validation_result tzresult Lwt.t

  (** [value_of_key chain_id predecessor_context
     predecessor_timestamp predecessor_level predecessor_fitness
     predecessor timestamp] returns a function to build one value of
     the cache from its key.

     This function is used to restore all or part of the cache, for
     instance when booting a validator to preheat the cache, or when a
     reorganization happens. This function should never fail, returned
     errors are fatal.

     The generated function is passed to [Context.Cache.load_caches]
     which will use it either immediately a cache-loading time or
     on-demand, when a given cached value is accessed. *)
  val value_of_key :
    chain_id:Chain_id.t ->
    predecessor_context:Context.t ->
    predecessor_timestamp:Time.t ->
    predecessor_level:Int32.t ->
    predecessor_fitness:Fitness.t ->
    predecessor:Block_hash.t ->
    timestamp:Time.t ->
    (Context.Cache.key -> Context.Cache.value tzresult Lwt.t) tzresult Lwt.t
end

(** [activate ctxt ph] activates an economic protocol (given by its
   hash [ph]) from the context [ctxt]. The resulting context is still
   a context for the current economic protocol, and the migration is
   not complete until [init] in invoked. *)
val activate : Context.t -> Protocol_hash.t -> Context.t Lwt.t
end
# 124 "v5.in.ml"


  module RPC_context : sig
# 1 "v5/RPC_context.mli"
(*****************************************************************************)
(*                                                                           *)
(* Open Source License                                                       *)
(* Copyright (c) 2018 Dynamic Ledger Solutions, Inc. <contact@tezos.com>     *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
(* copy of this software and associated documentation files (the "Software"),*)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense,  *)
(* and/or sell copies of the Software, and to permit persons to whom the     *)
(* Software is furnished to do so, subject to the following conditions:      *)
(*                                                                           *)
(* The above copyright notice and this permission notice shall be included   *)
(* in all copies or substantial portions of the Software.                    *)
(*                                                                           *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR*)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,  *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER*)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER       *)
(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

type t = Updater.rpc_context

class type ['pr] simple =
  object
    method call_proto_service0 :
      'm 'q 'i 'o.
      (([< RPC_service.meth] as 'm), t, t, 'q, 'i, 'o) RPC_service.t ->
      'pr ->
      'q ->
      'i ->
      'o Error_monad.shell_tzresult Lwt.t

    method call_proto_service1 :
      'm 'a 'q 'i 'o.
      (([< RPC_service.meth] as 'm), t, t * 'a, 'q, 'i, 'o) RPC_service.t ->
      'pr ->
      'a ->
      'q ->
      'i ->
      'o Error_monad.shell_tzresult Lwt.t

    method call_proto_service2 :
      'm 'a 'b 'q 'i 'o.
      (([< RPC_service.meth] as 'm), t, (t * 'a) * 'b, 'q, 'i, 'o) RPC_service.t ->
      'pr ->
      'a ->
      'b ->
      'q ->
      'i ->
      'o Error_monad.shell_tzresult Lwt.t

    method call_proto_service3 :
      'm 'a 'b 'c 'q 'i 'o.
      ( ([< RPC_service.meth] as 'm),
        t,
        ((t * 'a) * 'b) * 'c,
        'q,
        'i,
        'o )
      RPC_service.t ->
      'pr ->
      'a ->
      'b ->
      'c ->
      'q ->
      'i ->
      'o Error_monad.shell_tzresult Lwt.t
  end

val make_call0 :
  ([< RPC_service.meth], t, t, 'q, 'i, 'o) RPC_service.t ->
  'pr #simple ->
  'pr ->
  'q ->
  'i ->
  'o shell_tzresult Lwt.t

val make_call1 :
  ([< RPC_service.meth], t, t * 'a, 'q, 'i, 'o) RPC_service.t ->
  'pr #simple ->
  'pr ->
  'a ->
  'q ->
  'i ->
  'o shell_tzresult Lwt.t

val make_call2 :
  ([< RPC_service.meth], t, (t * 'a) * 'b, 'q, 'i, 'o) RPC_service.t ->
  'pr #simple ->
  'pr ->
  'a ->
  'b ->
  'q ->
  'i ->
  'o shell_tzresult Lwt.t

val make_call3 :
  ([< RPC_service.meth], t, ((t * 'a) * 'b) * 'c, 'q, 'i, 'o) RPC_service.t ->
  'pr #simple ->
  'pr ->
  'a ->
  'b ->
  'c ->
  'q ->
  'i ->
  'o shell_tzresult Lwt.t

val make_opt_call0 :
  ([< RPC_service.meth], t, t, 'q, 'i, 'o) RPC_service.t ->
  'pr #simple ->
  'pr ->
  'q ->
  'i ->
  'o option shell_tzresult Lwt.t

val make_opt_call1 :
  ([< RPC_service.meth], t, t * 'a, 'q, 'i, 'o) RPC_service.t ->
  'pr #simple ->
  'pr ->
  'a ->
  'q ->
  'i ->
  'o option shell_tzresult Lwt.t

val make_opt_call2 :
  ([< RPC_service.meth], t, (t * 'a) * 'b, 'q, 'i, 'o) RPC_service.t ->
  'pr #simple ->
  'pr ->
  'a ->
  'b ->
  'q ->
  'i ->
  'o option shell_tzresult Lwt.t

val make_opt_call3 :
  ([< RPC_service.meth], t, ((t * 'a) * 'b) * 'c, 'q, 'i, 'o) RPC_service.t ->
  'pr #simple ->
  'pr ->
  'a ->
  'b ->
  'c ->
  'q ->
  'i ->
  'o option shell_tzresult Lwt.t
end
# 126 "v5.in.ml"

end
OCaml

Innovation. Community. Security.