summaryrefslogtreecommitdiff
path: root/Doc/library/stdtypes.rst
blob: 0e32348b9b9aca372dba60e829cb646b94a30ef4 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
1706
1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
1729
1730
1731
1732
1733
1734
1735
1736
1737
1738
1739
1740
1741
1742
1743
1744
1745
1746
1747
1748
1749
1750
1751
1752
1753
1754
1755
1756
1757
1758
1759
1760
1761
1762
1763
1764
1765
1766
1767
1768
1769
1770
1771
1772
1773
1774
1775
1776
1777
1778
1779
1780
1781
1782
1783
1784
1785
1786
1787
1788
1789
1790
1791
1792
1793
1794
1795
1796
1797
1798
1799
1800
1801
1802
1803
1804
1805
1806
1807
1808
1809
1810
1811
1812
1813
1814
1815
1816
1817
1818
1819
1820
1821
1822
1823
1824
1825
1826
1827
1828
1829
1830
1831
1832
1833
1834
1835
1836
1837
1838
1839
1840
1841
1842
1843
1844
1845
1846
1847
1848
1849
1850
1851
1852
1853
1854
1855
1856
1857
1858
1859
1860
1861
1862
1863
1864
1865
1866
1867
1868
1869
1870
1871
1872
1873
1874
1875
1876
1877
1878
1879
1880
1881
1882
1883
1884
1885
1886
1887
1888
1889
1890
1891
1892
1893
1894
1895
1896
1897
1898
1899
1900
1901
1902
1903
1904
1905
1906
1907
1908
1909
1910
1911
1912
1913
1914
1915
1916
1917
1918
1919
1920
1921
1922
1923
1924
1925
1926
1927
1928
1929
1930
1931
1932
1933
1934
1935
1936
1937
1938
1939
1940
1941
1942
1943
1944
1945
1946
1947
1948
1949
1950
1951
1952
1953
1954
1955
1956
1957
1958
1959
1960
1961
1962
1963
1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
2041
2042
2043
2044
2045
2046
2047
2048
2049
2050
2051
2052
2053
2054
2055
2056
2057
2058
2059
2060
2061
2062
2063
2064
2065
2066
2067
2068
2069
2070
2071
2072
2073
2074
2075
2076
2077
2078
2079
2080
2081
2082
2083
2084
2085
2086
2087
2088
2089
2090
2091
2092
2093
2094
2095
2096
2097
2098
2099
2100
2101
2102
2103
2104
2105
2106
2107
2108
2109
2110
2111
2112
2113
2114
2115
2116
2117
2118
2119
2120
2121
2122
2123
2124
2125
2126
2127
2128
2129
2130
2131
2132
2133
2134
2135
2136
2137
2138
2139
2140
2141
2142
2143
2144
2145
2146
2147
2148
2149
2150
2151
2152
2153
2154
2155
2156
2157
2158
2159
2160
2161
2162
2163
2164
2165
2166
2167
2168
2169
2170
2171
2172
2173
2174
2175
2176
2177
2178
2179
2180
2181
2182
2183
2184
2185
2186
2187
2188
2189
2190
2191
2192
2193
2194
2195
2196
2197
2198
2199
2200
2201
2202
2203
2204
2205
2206
2207
2208
2209
2210
2211
2212
2213
2214
2215
2216
2217
2218
2219
2220
2221
2222
2223
2224
2225
2226
2227
2228
2229
2230
2231
2232
2233
2234
2235
2236
2237
2238
2239
2240
2241
2242
2243
2244
2245
2246
2247
2248
2249
2250
2251
2252
2253
2254
2255
2256
2257
2258
2259
2260
2261
2262
2263
2264
2265
2266
2267
2268
2269
2270
2271
2272
2273
2274
2275
2276
2277
2278
2279
2280
2281
2282
2283
2284
2285
2286
2287
2288
2289
2290
2291
2292
2293
2294
2295
2296
2297
2298
2299
2300
2301
2302
2303
2304
2305
2306
2307
2308
2309
2310
2311
2312
2313
2314
2315
2316
2317
2318
2319
2320
2321
2322
2323
2324
2325
2326
2327
2328
2329
2330
2331
2332
2333
2334
2335
2336
2337
2338
2339
2340
2341
2342
2343
2344
2345
2346
2347
2348
2349
2350
2351
2352
2353
2354
2355
2356
2357
2358
2359
2360
2361
2362
2363
2364
2365
2366
2367
2368
2369
2370
2371
2372
2373
2374
2375
2376
2377
2378
2379
2380
2381
2382
2383
2384
2385
2386
2387
2388
2389
2390
2391
2392
2393
2394
2395
2396
2397
2398
2399
2400
2401
2402
2403
2404
2405
2406
2407
2408
2409
2410
2411
2412
2413
2414
2415
2416
2417
2418
2419
2420
2421
2422
2423
2424
2425
2426
2427
2428
2429
2430
2431
2432
2433
2434
2435
2436
2437
2438
2439
2440
2441
2442
2443
2444
2445
2446
2447
2448
2449
2450
2451
2452
2453
2454
2455
2456
2457
2458
2459
2460
2461
2462
2463
2464
2465
2466
2467
2468
2469
2470
2471
2472
2473
2474
2475
2476
2477
2478
2479
2480
2481
2482
2483
2484
2485
2486
2487
2488
2489
2490
2491
2492
2493
2494
2495
2496
2497
2498
2499
2500
2501
2502
2503
2504
2505
2506
2507
2508
2509
2510
2511
2512
2513
2514
2515
2516
2517
2518
2519
2520
2521
2522
2523
2524
2525
2526
2527
2528
2529
2530
2531
2532
2533
2534
2535
2536
2537
2538
2539
2540
2541
2542
2543
2544
2545
2546
2547
2548
2549
2550
2551
2552
2553
2554
2555
2556
2557
2558
2559
2560
2561
2562
2563
2564
2565
2566
2567
2568
2569
2570
2571
2572
2573
2574
2575
2576
2577
2578
2579
2580
2581
2582
2583
2584
2585
2586
2587
2588
2589
2590
2591
2592
2593
2594
2595
2596
2597
2598
2599
2600
2601
2602
2603
2604
2605
2606
2607
2608
2609
2610
2611
2612
2613
2614
2615
2616
2617
2618
2619
2620
2621
2622
2623
2624
2625
2626
2627
2628
2629
2630
2631
2632
2633
2634
2635
2636
2637
2638
2639
2640
2641
2642
2643
2644
2645
2646
2647
2648
2649
2650
2651
2652
2653
2654
2655
2656
2657
2658
2659
2660
2661
2662
2663
2664
2665
2666
2667
2668
2669
2670
2671
2672
2673
2674
2675
2676
2677
2678
2679
2680
2681
2682
2683
2684
2685
2686
2687
2688
2689
2690
2691
2692
2693
2694
2695
2696
2697
2698
2699
2700
2701
2702
2703
2704
2705
2706
2707
2708
2709
2710
2711
2712
2713
2714
2715
2716
2717
2718
2719
2720
2721
2722
2723
2724
2725
2726
2727
2728
2729
2730
2731
2732
2733
2734
2735
2736
2737
2738
2739
2740
2741
2742
2743
2744
2745
2746
2747
2748
2749
2750
2751
2752
2753
2754
2755
2756
2757
2758
2759
2760
2761
2762
2763
2764
2765
2766
2767
2768
2769
2770
2771
2772
2773
2774
2775
2776
2777
2778
2779
2780
2781
2782
2783
2784
2785
2786
2787
2788
2789
2790
2791
2792
2793
2794
2795
2796
2797
2798
2799
2800
2801
2802
2803
2804
2805
2806
2807
2808
2809
2810
2811
2812
2813
2814
2815
2816
2817
2818
2819
2820
2821
2822
2823
2824
2825
2826
2827
2828
2829
2830
2831
2832
2833
2834
2835
2836
2837
2838
2839
2840
2841
2842
2843
2844
2845
2846
2847
2848
2849
2850
2851
2852
2853
2854
2855
2856
2857
2858
2859
2860
2861
2862
2863
2864
2865
2866
2867
2868
2869
2870
2871
2872
2873
2874
2875
2876
2877
2878
2879
2880
2881
2882
2883
2884
2885
2886
2887
2888
2889
2890
2891
2892
2893
2894
2895
2896
2897
2898
2899
2900
2901
2902
2903
2904
2905
2906
2907
2908
2909
2910
2911
2912
2913
2914
2915
2916
2917
2918
2919
2920
2921
2922
2923
2924
2925
2926
2927
2928
2929
2930
2931
2932
2933
2934
2935
2936
2937
2938
2939
2940
2941
2942
2943
2944
2945
2946
2947
2948
2949
2950
2951
2952
2953
2954
2955
2956
2957
2958
2959
2960
2961
2962
2963
2964
2965
2966
2967
2968
2969
2970
2971
2972
2973
2974
2975
2976
2977
2978
2979
2980
2981
2982
2983
2984
2985
2986
2987
2988
2989
2990
2991
2992
2993
2994
2995
2996
2997
2998
2999
3000
3001
3002
3003
3004
3005
3006
3007
3008
3009
3010
3011
3012
3013
3014
3015
3016
3017
3018
3019
3020
3021
3022
3023
3024
3025
3026
3027
3028
3029
3030
3031
3032
3033
3034
3035
3036
3037
3038
3039
3040
3041
3042
3043
3044
3045
3046
3047
3048
3049
3050
3051
.. XXX: reference/datamodel and this have quite a few overlaps!


.. _bltin-types:

**************
Built-in Types
**************

The following sections describe the standard types that are built into the
interpreter.

.. note::

   Historically (until release 2.2), Python's built-in types have differed from
   user-defined types because it was not possible to use the built-in types as the
   basis for object-oriented inheritance. This limitation no longer
   exists.

.. index:: pair: built-in; types

The principal built-in types are numerics, sequences, mappings, files, classes,
instances and exceptions.

.. index:: statement: print

Some operations are supported by several object types; in particular,
practically all objects can be compared, tested for truth value, and converted
to a string (with the :func:`repr` function or the slightly different
:func:`str` function).  The latter function is implicitly used when an object is
written by the :func:`print` function.


.. _truth:

Truth Value Testing
===================

.. index::
   statement: if
   statement: while
   pair: truth; value
   pair: Boolean; operations
   single: false

Any object can be tested for truth value, for use in an :keyword:`if` or
:keyword:`while` condition or as operand of the Boolean operations below. The
following values are considered false:

  .. index:: single: None (Built-in object)

* ``None``

  .. index:: single: False (Built-in object)

* ``False``

* zero of any numeric type, for example, ``0``, ``0L``, ``0.0``, ``0j``.

* any empty sequence, for example, ``''``, ``()``, ``[]``.

* any empty mapping, for example, ``{}``.

* instances of user-defined classes, if the class defines a :meth:`__nonzero__`
  or :meth:`__len__` method, when that method returns the integer zero or
  :class:`bool` value ``False``. [#]_

.. index:: single: true

All other values are considered true --- so objects of many types are always
true.

.. index::
   operator: or
   operator: and
   single: False
   single: True

Operations and built-in functions that have a Boolean result always return ``0``
or ``False`` for false and ``1`` or ``True`` for true, unless otherwise stated.
(Important exception: the Boolean operations ``or`` and ``and`` always return
one of their operands.)


.. _boolean:

Boolean Operations --- :keyword:`and`, :keyword:`or`, :keyword:`not`
====================================================================

.. index:: pair: Boolean; operations

These are the Boolean operations, ordered by ascending priority:

+-------------+---------------------------------+-------+
| Operation   | Result                          | Notes |
+=============+=================================+=======+
| ``x or y``  | if *x* is false, then *y*, else | \(1)  |
|             | *x*                             |       |
+-------------+---------------------------------+-------+
| ``x and y`` | if *x* is false, then *x*, else | \(2)  |
|             | *y*                             |       |
+-------------+---------------------------------+-------+
| ``not x``   | if *x* is false, then ``True``, | \(3)  |
|             | else ``False``                  |       |
+-------------+---------------------------------+-------+

.. index::
   operator: and
   operator: or
   operator: not

Notes:

(1)
   This is a short-circuit operator, so it only evaluates the second
   argument if the first one is :const:`False`.

(2)
   This is a short-circuit operator, so it only evaluates the second
   argument if the first one is :const:`True`.

(3)
   ``not`` has a lower priority than non-Boolean operators, so ``not a == b`` is
   interpreted as ``not (a == b)``, and ``a == not b`` is a syntax error.


.. _stdcomparisons:

Comparisons
===========

.. index::
   pair: chaining; comparisons
   pair: operator; comparison
   operator: ==
   operator: <
   operator: <=
   operator: >
   operator: >=
   operator: !=
   operator: is
   operator: is not

Comparison operations are supported by all objects.  They all have the same
priority (which is higher than that of the Boolean operations). Comparisons can
be chained arbitrarily; for example, ``x < y <= z`` is equivalent to ``x < y and
y <= z``, except that *y* is evaluated only once (but in both cases *z* is not
evaluated at all when ``x < y`` is found to be false).

This table summarizes the comparison operations:

+------------+-------------------------+-------+
| Operation  | Meaning                 | Notes |
+============+=========================+=======+
| ``<``      | strictly less than      |       |
+------------+-------------------------+-------+
| ``<=``     | less than or equal      |       |
+------------+-------------------------+-------+
| ``>``      | strictly greater than   |       |
+------------+-------------------------+-------+
| ``>=``     | greater than or equal   |       |
+------------+-------------------------+-------+
| ``==``     | equal                   |       |
+------------+-------------------------+-------+
| ``!=``     | not equal               | \(1)  |
+------------+-------------------------+-------+
| ``is``     | object identity         |       |
+------------+-------------------------+-------+
| ``is not`` | negated object identity |       |
+------------+-------------------------+-------+

Notes:

(1)
    ``!=`` can also be written ``<>``, but this is an obsolete usage
    kept for backwards compatibility only. New code should always use
    ``!=``.

.. index::
   pair: object; numeric
   pair: objects; comparing

Objects of different types, except different numeric types and different string
types, never compare equal; such objects are ordered consistently but
arbitrarily (so that sorting a heterogeneous array yields a consistent result).
Furthermore, some types (for example, file objects) support only a degenerate
notion of comparison where any two objects of that type are unequal.  Again,
such objects are ordered arbitrarily but consistently. The ``<``, ``<=``, ``>``
and ``>=`` operators will raise a :exc:`TypeError` exception when any operand is
a complex number.

.. index:: single: __cmp__() (instance method)

Instances of a class normally compare as non-equal unless the class defines the
:meth:`__cmp__` method.  Refer to :ref:`customization`) for information on the
use of this method to effect object comparisons.

.. impl-detail::

   Objects of different types except numbers are ordered by their type names;
   objects of the same types that don't support proper comparison are ordered by
   their address.

.. index::
   operator: in
   operator: not in

Two more operations with the same syntactic priority, ``in`` and ``not in``, are
supported only by sequence types (below).


.. _typesnumeric:

Numeric Types --- :class:`int`, :class:`float`, :class:`long`, :class:`complex`
===============================================================================

.. index::
   object: numeric
   object: Boolean
   object: integer
   object: long integer
   object: floating point
   object: complex number
   pair: C; language

There are four distinct numeric types: :dfn:`plain integers`, :dfn:`long
integers`, :dfn:`floating point numbers`, and :dfn:`complex numbers`. In
addition, Booleans are a subtype of plain integers. Plain integers (also just
called :dfn:`integers`) are implemented using :ctype:`long` in C, which gives
them at least 32 bits of precision (``sys.maxint`` is always set to the maximum
plain integer value for the current platform, the minimum value is
``-sys.maxint - 1``).  Long integers have unlimited precision.  Floating point
numbers are usually implemented using :ctype:`double` in C; information about
the precision and internal representation of floating point numbers for the
machine on which your program is running is available in
:data:`sys.float_info`.  Complex numbers have a real and imaginary part, which
are each a floating point number.  To extract these parts from a complex number
*z*, use ``z.real`` and ``z.imag``. (The standard library includes additional
numeric types, :mod:`fractions` that hold rationals, and :mod:`decimal` that
hold floating-point numbers with user-definable precision.)

.. index::
   pair: numeric; literals
   pair: integer; literals
   triple: long; integer; literals
   pair: floating point; literals
   pair: complex number; literals
   pair: hexadecimal; literals
   pair: octal; literals

Numbers are created by numeric literals or as the result of built-in functions
and operators.  Unadorned integer literals (including binary, hex, and octal
numbers) yield plain integers unless the value they denote is too large to be
represented as a plain integer, in which case they yield a long integer.
Integer literals with an ``'L'`` or ``'l'`` suffix yield long integers (``'L'``
is preferred because ``1l`` looks too much like eleven!).  Numeric literals
containing a decimal point or an exponent sign yield floating point numbers.
Appending ``'j'`` or ``'J'`` to a numeric literal yields a complex number with a
zero real part. A complex numeric literal is the sum of a real and an imaginary
part.

.. index::
   single: arithmetic
   builtin: int
   builtin: long
   builtin: float
   builtin: complex
   operator: +
   operator: -
   operator: *
   operator: /
   operator: //
   operator: %
   operator: **

Python fully supports mixed arithmetic: when a binary arithmetic operator has
operands of different numeric types, the operand with the "narrower" type is
widened to that of the other, where plain integer is narrower than long integer
is narrower than floating point is narrower than complex. Comparisons between
numbers of mixed type use the same rule. [#]_ The constructors :func:`int`,
:func:`long`, :func:`float`, and :func:`complex` can be used to produce numbers
of a specific type.

All built-in numeric types support the following operations. See
:ref:`power` and later sections for the operators' priorities.

+--------------------+---------------------------------+--------+
| Operation          | Result                          | Notes  |
+====================+=================================+========+
| ``x + y``          | sum of *x* and *y*              |        |
+--------------------+---------------------------------+--------+
| ``x - y``          | difference of *x* and *y*       |        |
+--------------------+---------------------------------+--------+
| ``x * y``          | product of *x* and *y*          |        |
+--------------------+---------------------------------+--------+
| ``x / y``          | quotient of *x* and *y*         | \(1)   |
+--------------------+---------------------------------+--------+
| ``x // y``         | (floored) quotient of *x* and   | (4)(5) |
|                    | *y*                             |        |
+--------------------+---------------------------------+--------+
| ``x % y``          | remainder of ``x / y``          | \(4)   |
+--------------------+---------------------------------+--------+
| ``-x``             | *x* negated                     |        |
+--------------------+---------------------------------+--------+
| ``+x``             | *x* unchanged                   |        |
+--------------------+---------------------------------+--------+
| ``abs(x)``         | absolute value or magnitude of  | \(3)   |
|                    | *x*                             |        |
+--------------------+---------------------------------+--------+
| ``int(x)``         | *x* converted to integer        | \(2)   |
+--------------------+---------------------------------+--------+
| ``long(x)``        | *x* converted to long integer   | \(2)   |
+--------------------+---------------------------------+--------+
| ``float(x)``       | *x* converted to floating point | \(6)   |
+--------------------+---------------------------------+--------+
| ``complex(re,im)`` | a complex number with real part |        |
|                    | *re*, imaginary part *im*.      |        |
|                    | *im* defaults to zero.          |        |
+--------------------+---------------------------------+--------+
| ``c.conjugate()``  | conjugate of the complex number |        |
|                    | *c*. (Identity on real numbers) |        |
+--------------------+---------------------------------+--------+
| ``divmod(x, y)``   | the pair ``(x // y, x % y)``    | (3)(4) |
+--------------------+---------------------------------+--------+
| ``pow(x, y)``      | *x* to the power *y*            | (3)(7) |
+--------------------+---------------------------------+--------+
| ``x ** y``         | *x* to the power *y*            | \(7)   |
+--------------------+---------------------------------+--------+

.. index::
   triple: operations on; numeric; types
   single: conjugate() (complex number method)

Notes:

(1)
   .. index::
      pair: integer; division
      triple: long; integer; division

   For (plain or long) integer division, the result is an integer. The result is
   always rounded towards minus infinity: 1/2 is 0, (-1)/2 is -1, 1/(-2) is -1, and
   (-1)/(-2) is 0.  Note that the result is a long integer if either operand is a
   long integer, regardless of the numeric value.

(2)
   .. index::
      module: math
      single: floor() (in module math)
      single: ceil() (in module math)
      single: trunc() (in module math)
      pair: numeric; conversions

   Conversion from floats using :func:`int` or :func:`long` truncates toward
   zero like the related function, :func:`math.trunc`.  Use the function
   :func:`math.floor` to round downward and :func:`math.ceil` to round
   upward.

(3)
   See :ref:`built-in-funcs` for a full description.

(4)
   .. deprecated:: 2.3
      The floor division operator, the modulo operator, and the :func:`divmod`
      function are no longer defined for complex numbers.  Instead, convert to
      a floating point number using the :func:`abs` function if appropriate.

(5)
   Also referred to as integer division.  The resultant value is a whole integer,
   though the result's type is not necessarily int.

(6)
   float also accepts the strings "nan" and "inf" with an optional prefix "+"
   or "-" for Not a Number (NaN) and positive or negative infinity.

   .. versionadded:: 2.6

(7)
   Python defines ``pow(0, 0)`` and ``0 ** 0`` to be ``1``, as is common for
   programming languages.

All :class:`numbers.Real` types (:class:`int`, :class:`long`, and
:class:`float`) also include the following operations:

+--------------------+------------------------------------+--------+
| Operation          | Result                             | Notes  |
+====================+====================================+========+
| ``math.trunc(x)``  | *x* truncated to Integral          |        |
+--------------------+------------------------------------+--------+
| ``round(x[, n])``  | *x* rounded to n digits,           |        |
|                    | rounding half to even. If n is     |        |
|                    | omitted, it defaults to 0.         |        |
+--------------------+------------------------------------+--------+
| ``math.floor(x)``  | the greatest integral float <= *x* |        |
+--------------------+------------------------------------+--------+
| ``math.ceil(x)``   | the least integral float >= *x*    |        |
+--------------------+------------------------------------+--------+

.. XXXJH exceptions: overflow (when? what operations?) zerodivision


.. _bitstring-ops:

Bit-string Operations on Integer Types
--------------------------------------

.. index::
   triple: operations on; integer; types
   pair: bit-string; operations
   pair: shifting; operations
   pair: masking; operations
   operator: ^
   operator: &
   operator: <<
   operator: >>

Plain and long integer types support additional operations that make sense only
for bit-strings.  Negative numbers are treated as their 2's complement value
(for long integers, this assumes a sufficiently large number of bits that no
overflow occurs during the operation).

The priorities of the binary bitwise operations are all lower than the numeric
operations and higher than the comparisons; the unary operation ``~`` has the
same priority as the other unary numeric operations (``+`` and ``-``).

This table lists the bit-string operations sorted in ascending priority:

+------------+--------------------------------+----------+
| Operation  | Result                         | Notes    |
+============+================================+==========+
| ``x | y``  | bitwise :dfn:`or` of *x* and   |          |
|            | *y*                            |          |
+------------+--------------------------------+----------+
| ``x ^ y``  | bitwise :dfn:`exclusive or` of |          |
|            | *x* and *y*                    |          |
+------------+--------------------------------+----------+
| ``x & y``  | bitwise :dfn:`and` of *x* and  |          |
|            | *y*                            |          |
+------------+--------------------------------+----------+
| ``x << n`` | *x* shifted left by *n* bits   | (1)(2)   |
+------------+--------------------------------+----------+
| ``x >> n`` | *x* shifted right by *n* bits  | (1)(3)   |
+------------+--------------------------------+----------+
| ``~x``     | the bits of *x* inverted       |          |
+------------+--------------------------------+----------+

Notes:

(1)
   Negative shift counts are illegal and cause a :exc:`ValueError` to be raised.

(2)
   A left shift by *n* bits is equivalent to multiplication by ``pow(2, n)``.  A
   long integer is returned if the result exceeds the range of plain integers.

(3)
   A right shift by *n* bits is equivalent to division by ``pow(2, n)``.


Additional Methods on Integer Types
-----------------------------------

The integer types implement the :class:`numbers.Integral` :term:`abstract base
class`. In addition, they provide one more method:

.. method:: int.bit_length()
.. method:: long.bit_length()

    Return the number of bits necessary to represent an integer in binary,
    excluding the sign and leading zeros::

        >>> n = -37
        >>> bin(n)
        '-0b100101'
        >>> n.bit_length()
        6

    More precisely, if ``x`` is nonzero, then ``x.bit_length()`` is the
    unique positive integer ``k`` such that ``2**(k-1) <= abs(x) < 2**k``.
    Equivalently, when ``abs(x)`` is small enough to have a correctly
    rounded logarithm, then ``k = 1 + int(log(abs(x), 2))``.
    If ``x`` is zero, then ``x.bit_length()`` returns ``0``.

    Equivalent to::

        def bit_length(self):
            s = bin(self)       # binary representation:  bin(-37) --> '-0b100101'
            s = s.lstrip('-0b') # remove leading zeros and minus sign
            return len(s)       # len('100101') --> 6

    .. versionadded:: 2.7


Additional Methods on Float
---------------------------

The float type implements the :class:`numbers.Real` :term:`abstract base
class`. float also has the following additional methods.

.. method:: float.as_integer_ratio()

   Return a pair of integers whose ratio is exactly equal to the
   original float and with a positive denominator.  Raises
   :exc:`OverflowError` on infinities and a :exc:`ValueError` on
   NaNs.

   .. versionadded:: 2.6

.. method:: float.is_integer()

   Return ``True`` if the float instance is finite with integral
   value, and ``False`` otherwise::

      >>> (-2.0).is_integer()
      True
      >>> (3.2).is_integer()
      False

   .. versionadded:: 2.6

Two methods support conversion to
and from hexadecimal strings.  Since Python's floats are stored
internally as binary numbers, converting a float to or from a
*decimal* string usually involves a small rounding error.  In
contrast, hexadecimal strings allow exact representation and
specification of floating-point numbers.  This can be useful when
debugging, and in numerical work.


.. method:: float.hex()

   Return a representation of a floating-point number as a hexadecimal
   string.  For finite floating-point numbers, this representation
   will always include a leading ``0x`` and a trailing ``p`` and
   exponent.

   .. versionadded:: 2.6


.. method:: float.fromhex(s)

   Class method to return the float represented by a hexadecimal
   string *s*.  The string *s* may have leading and trailing
   whitespace.

   .. versionadded:: 2.6


Note that :meth:`float.hex` is an instance method, while
:meth:`float.fromhex` is a class method.

A hexadecimal string takes the form::

   [sign] ['0x'] integer ['.' fraction] ['p' exponent]

where the optional ``sign`` may by either ``+`` or ``-``, ``integer``
and ``fraction`` are strings of hexadecimal digits, and ``exponent``
is a decimal integer with an optional leading sign.  Case is not
significant, and there must be at least one hexadecimal digit in
either the integer or the fraction.  This syntax is similar to the
syntax specified in section 6.4.4.2 of the C99 standard, and also to
the syntax used in Java 1.5 onwards.  In particular, the output of
:meth:`float.hex` is usable as a hexadecimal floating-point literal in
C or Java code, and hexadecimal strings produced by C's ``%a`` format
character or Java's ``Double.toHexString`` are accepted by
:meth:`float.fromhex`.


Note that the exponent is written in decimal rather than hexadecimal,
and that it gives the power of 2 by which to multiply the coefficient.
For example, the hexadecimal string ``0x3.a7p10`` represents the
floating-point number ``(3 + 10./16 + 7./16**2) * 2.0**10``, or
``3740.0``::

   >>> float.fromhex('0x3.a7p10')
   3740.0


Applying the reverse conversion to ``3740.0`` gives a different
hexadecimal string representing the same number::

   >>> float.hex(3740.0)
   '0x1.d380000000000p+11'


.. _typeiter:

Iterator Types
==============

.. versionadded:: 2.2

.. index::
   single: iterator protocol
   single: protocol; iterator
   single: sequence; iteration
   single: container; iteration over

Python supports a concept of iteration over containers.  This is implemented
using two distinct methods; these are used to allow user-defined classes to
support iteration.  Sequences, described below in more detail, always support
the iteration methods.

One method needs to be defined for container objects to provide iteration
support:

.. XXX duplicated in reference/datamodel!

.. method:: container.__iter__()

   Return an iterator object.  The object is required to support the iterator
   protocol described below.  If a container supports different types of
   iteration, additional methods can be provided to specifically request
   iterators for those iteration types.  (An example of an object supporting
   multiple forms of iteration would be a tree structure which supports both
   breadth-first and depth-first traversal.)  This method corresponds to the
   :attr:`tp_iter` slot of the type structure for Python objects in the Python/C
   API.

The iterator objects themselves are required to support the following two
methods, which together form the :dfn:`iterator protocol`:


.. method:: iterator.__iter__()

   Return the iterator object itself.  This is required to allow both containers
   and iterators to be used with the :keyword:`for` and :keyword:`in` statements.
   This method corresponds to the :attr:`tp_iter` slot of the type structure for
   Python objects in the Python/C API.


.. method:: iterator.next()

   Return the next item from the container.  If there are no further items, raise
   the :exc:`StopIteration` exception.  This method corresponds to the
   :attr:`tp_iternext` slot of the type structure for Python objects in the
   Python/C API.

Python defines several iterator objects to support iteration over general and
specific sequence types, dictionaries, and other more specialized forms.  The
specific types are not important beyond their implementation of the iterator
protocol.

The intention of the protocol is that once an iterator's :meth:`next` method
raises :exc:`StopIteration`, it will continue to do so on subsequent calls.
Implementations that do not obey this property are deemed broken.  (This
constraint was added in Python 2.3; in Python 2.2, various iterators are broken
according to this rule.)


.. _generator-types:

Generator Types
---------------

Python's :term:`generator`\s provide a convenient way to implement the iterator
protocol.  If a container object's :meth:`__iter__` method is implemented as a
generator, it will automatically return an iterator object (technically, a
generator object) supplying the :meth:`__iter__` and :meth:`next` methods.  More
information about generators can be found in :ref:`the documentation for the
yield expression <yieldexpr>`.


.. _typesseq:

Sequence Types --- :class:`str`, :class:`unicode`, :class:`list`, :class:`tuple`, :class:`bytearray`, :class:`buffer`, :class:`xrange`
======================================================================================================================================

There are seven sequence types: strings, Unicode strings, lists, tuples,
bytearrays, buffers, and xrange objects.

For other containers see the built in :class:`dict` and :class:`set` classes,
and the :mod:`collections` module.


.. index::
   object: sequence
   object: string
   object: Unicode
   object: tuple
   object: list
   object: bytearray
   object: buffer
   object: xrange

String literals are written in single or double quotes: ``'xyzzy'``,
``"frobozz"``.  See :ref:`strings` for more about string literals.
Unicode strings are much like strings, but are specified in the syntax
using a preceding ``'u'`` character: ``u'abc'``, ``u"def"``. In addition
to the functionality described here, there are also string-specific
methods described in the :ref:`string-methods` section. Lists are
constructed with square brackets, separating items with commas: ``[a, b, c]``.
Tuples are constructed by the comma operator (not within square
brackets), with or without enclosing parentheses, but an empty tuple
must have the enclosing parentheses, such as ``a, b, c`` or ``()``.  A
single item tuple must have a trailing comma, such as ``(d,)``.

Bytearray objects are created with the built-in function :func:`bytearray`.

Buffer objects are not directly supported by Python syntax, but can be created
by calling the built-in function :func:`buffer`.  They don't support
concatenation or repetition.

Objects of type xrange are similar to buffers in that there is no specific syntax to
create them, but they are created using the :func:`xrange` function.  They don't
support slicing, concatenation or repetition, and using ``in``, ``not in``,
:func:`min` or :func:`max` on them is inefficient.

Most sequence types support the following operations.  The ``in`` and ``not in``
operations have the same priorities as the comparison operations.  The ``+`` and
``*`` operations have the same priority as the corresponding numeric operations.
[#]_ Additional methods are provided for :ref:`typesseq-mutable`.

This table lists the sequence operations sorted in ascending priority
(operations in the same box have the same priority).  In the table, *s* and *t*
are sequences of the same type; *n*, *i* and *j* are integers:

+------------------+--------------------------------+----------+
| Operation        | Result                         | Notes    |
+==================+================================+==========+
| ``x in s``       | ``True`` if an item of *s* is  | \(1)     |
|                  | equal to *x*, else ``False``   |          |
+------------------+--------------------------------+----------+
| ``x not in s``   | ``False`` if an item of *s* is | \(1)     |
|                  | equal to *x*, else ``True``    |          |
+------------------+--------------------------------+----------+
| ``s + t``        | the concatenation of *s* and   | \(6)     |
|                  | *t*                            |          |
+------------------+--------------------------------+----------+
| ``s * n, n * s`` | *n* shallow copies of *s*      | \(2)     |
|                  | concatenated                   |          |
+------------------+--------------------------------+----------+
| ``s[i]``         | *i*'th item of *s*, origin 0   | \(3)     |
+------------------+--------------------------------+----------+
| ``s[i:j]``       | slice of *s* from *i* to *j*   | (3)(4)   |
+------------------+--------------------------------+----------+
| ``s[i:j:k]``     | slice of *s* from *i* to *j*   | (3)(5)   |
|                  | with step *k*                  |          |
+------------------+--------------------------------+----------+
| ``len(s)``       | length of *s*                  |          |
+------------------+--------------------------------+----------+
| ``min(s)``       | smallest item of *s*           |          |
+------------------+--------------------------------+----------+
| ``max(s)``       | largest item of *s*            |          |
+------------------+--------------------------------+----------+
| ``s.index(i)``   | index of the first occurence   |          |
|                  | of *i* in *s*                  |          |
+------------------+--------------------------------+----------+
| ``s.count(i)``   | total number of occurences of  |          |
|                  | *i* in *s*                     |          |
+------------------+--------------------------------+----------+

Sequence types also support comparisons. In particular, tuples and lists
are compared lexicographically by comparing corresponding
elements. This means that to compare equal, every element must compare
equal and the two sequences must be of the same type and have the same
length. (For full details see :ref:`comparisons` in the language
reference.)

.. index::
   triple: operations on; sequence; types
   builtin: len
   builtin: min
   builtin: max
   pair: concatenation; operation
   pair: repetition; operation
   pair: subscript; operation
   pair: slice; operation
   pair: extended slice; operation
   operator: in
   operator: not in

Notes:

(1)
   When *s* is a string or Unicode string object the ``in`` and ``not in``
   operations act like a substring test.  In Python versions before 2.3, *x* had to
   be a string of length 1. In Python 2.3 and beyond, *x* may be a string of any
   length.

(2)
   Values of *n* less than ``0`` are treated as ``0`` (which yields an empty
   sequence of the same type as *s*).  Note also that the copies are shallow;
   nested structures are not copied.  This often haunts new Python programmers;
   consider:

      >>> lists = [[]] * 3
      >>> lists
      [[], [], []]
      >>> lists[0].append(3)
      >>> lists
      [[3], [3], [3]]

   What has happened is that ``[[]]`` is a one-element list containing an empty
   list, so all three elements of ``[[]] * 3`` are (pointers to) this single empty
   list.  Modifying any of the elements of ``lists`` modifies this single list.
   You can create a list of different lists this way:

      >>> lists = [[] for i in range(3)]
      >>> lists[0].append(3)
      >>> lists[1].append(5)
      >>> lists[2].append(7)
      >>> lists
      [[3], [5], [7]]

(3)
   If *i* or *j* is negative, the index is relative to the end of the string:
   ``len(s) + i`` or ``len(s) + j`` is substituted.  But note that ``-0`` is still
   ``0``.

(4)
   The slice of *s* from *i* to *j* is defined as the sequence of items with index
   *k* such that ``i <= k < j``.  If *i* or *j* is greater than ``len(s)``, use
   ``len(s)``.  If *i* is omitted or ``None``, use ``0``.  If *j* is omitted or
   ``None``, use ``len(s)``.  If *i* is greater than or equal to *j*, the slice is
   empty.

(5)
   The slice of *s* from *i* to *j* with step *k* is defined as the sequence of
   items with index  ``x = i + n*k`` such that ``0 <= n < (j-i)/k``.  In other words,
   the indices are ``i``, ``i+k``, ``i+2*k``, ``i+3*k`` and so on, stopping when
   *j* is reached (but never including *j*).  If *i* or *j* is greater than
   ``len(s)``, use ``len(s)``.  If *i* or *j* are omitted or ``None``, they become
   "end" values (which end depends on the sign of *k*).  Note, *k* cannot be zero.
   If *k* is ``None``, it is treated like ``1``.

(6)
   .. impl-detail::

      If *s* and *t* are both strings, some Python implementations such as
      CPython can usually perform an in-place optimization for assignments of
      the form ``s = s + t`` or ``s += t``.  When applicable, this optimization
      makes quadratic run-time much less likely.  This optimization is both
      version and implementation dependent.  For performance sensitive code, it
      is preferable to use the :meth:`str.join` method which assures consistent
      linear concatenation performance across versions and implementations.

   .. versionchanged:: 2.4
      Formerly, string concatenation never occurred in-place.


.. _string-methods:

String Methods
--------------

.. index:: pair: string; methods

Below are listed the string methods which both 8-bit strings and
Unicode objects support.  Some of them are also available on :class:`bytearray`
objects.

In addition, Python's strings support the sequence type methods
described in the :ref:`typesseq` section. To output formatted strings
use template strings or the ``%`` operator described in the
:ref:`string-formatting` section. Also, see the :mod:`re` module for
string functions based on regular expressions.

.. method:: str.capitalize()

   Return a copy of the string with its first character capitalized and the
   rest lowercased.

   For 8-bit strings, this method is locale-dependent.


.. method:: str.center(width[, fillchar])

   Return centered in a string of length *width*. Padding is done using the
   specified *fillchar* (default is a space).

   .. versionchanged:: 2.4
      Support for the *fillchar* argument.


.. method:: str.count(sub[, start[, end]])

   Return the number of non-overlapping occurrences of substring *sub* in the
   range [*start*, *end*].  Optional arguments *start* and *end* are
   interpreted as in slice notation.


.. method:: str.decode([encoding[, errors]])

   Decodes the string using the codec registered for *encoding*. *encoding*
   defaults to the default string encoding.  *errors* may be given to set a
   different error handling scheme.  The default is ``'strict'``, meaning that
   encoding errors raise :exc:`UnicodeError`.  Other possible values are
   ``'ignore'``, ``'replace'`` and any other name registered via
   :func:`codecs.register_error`, see section :ref:`codec-base-classes`.

   .. versionadded:: 2.2

   .. versionchanged:: 2.3
      Support for other error handling schemes added.

   .. versionchanged:: 2.7
      Support for keyword arguments added.

.. method:: str.encode([encoding[,errors]])

   Return an encoded version of the string.  Default encoding is the current
   default string encoding.  *errors* may be given to set a different error
   handling scheme.  The default for *errors* is ``'strict'``, meaning that
   encoding errors raise a :exc:`UnicodeError`.  Other possible values are
   ``'ignore'``, ``'replace'``, ``'xmlcharrefreplace'``, ``'backslashreplace'`` and
   any other name registered via :func:`codecs.register_error`, see section
   :ref:`codec-base-classes`. For a list of possible encodings, see section
   :ref:`standard-encodings`.

   .. versionadded:: 2.0

   .. versionchanged:: 2.3
      Support for ``'xmlcharrefreplace'`` and ``'backslashreplace'`` and other error
      handling schemes added.

   .. versionchanged:: 2.7
      Support for keyword arguments added.

.. method:: str.endswith(suffix[, start[, end]])

   Return ``True`` if the string ends with the specified *suffix*, otherwise return
   ``False``.  *suffix* can also be a tuple of suffixes to look for.  With optional
   *start*, test beginning at that position.  With optional *end*, stop comparing
   at that position.

   .. versionchanged:: 2.5
      Accept tuples as *suffix*.


.. method:: str.expandtabs([tabsize])

   Return a copy of the string where all tab characters are replaced by one or
   more spaces, depending on the current column and the given tab size.  The
   column number is reset to zero after each newline occurring in the string.
   If *tabsize* is not given, a tab size of ``8`` characters is assumed.  This
   doesn't understand other non-printing characters or escape sequences.


.. method:: str.find(sub[, start[, end]])

   Return the lowest index in the string where substring *sub* is found, such
   that *sub* is contained in the slice ``s[start:end]``.  Optional arguments
   *start* and *end* are interpreted as in slice notation.  Return ``-1`` if
   *sub* is not found.

   .. note::

      The :meth:`~str.find` method should be used only if you need to know the
      position of *sub*.  To check if *sub* is a substring or not, use the
      :keyword:`in` operator::

         >>> 'Py' in 'Python'
         True


.. method:: str.format(*args, **kwargs)

   Perform a string formatting operation.  The string on which this method is
   called can contain literal text or replacement fields delimited by braces
   ``{}``.  Each replacement field contains either the numeric index of a
   positional argument, or the name of a keyword argument.  Returns a copy of
   the string where each replacement field is replaced with the string value of
   the corresponding argument.

      >>> "The sum of 1 + 2 is {0}".format(1+2)
      'The sum of 1 + 2 is 3'

   See :ref:`formatstrings` for a description of the various formatting options
   that can be specified in format strings.

   This method of string formatting is the new standard in Python 3.0, and
   should be preferred to the ``%`` formatting described in
   :ref:`string-formatting` in new code.

   .. versionadded:: 2.6


.. method:: str.index(sub[, start[, end]])

   Like :meth:`find`, but raise :exc:`ValueError` when the substring is not found.


.. method:: str.isalnum()

   Return true if all characters in the string are alphanumeric and there is at
   least one character, false otherwise.

   For 8-bit strings, this method is locale-dependent.


.. method:: str.isalpha()

   Return true if all characters in the string are alphabetic and there is at least
   one character, false otherwise.

   For 8-bit strings, this method is locale-dependent.


.. method:: str.isdigit()

   Return true if all characters in the string are digits and there is at least one
   character, false otherwise.

   For 8-bit strings, this method is locale-dependent.


.. method:: str.islower()

   Return true if all cased characters in the string are lowercase and there is at
   least one cased character, false otherwise.

   For 8-bit strings, this method is locale-dependent.


.. method:: str.isspace()

   Return true if there are only whitespace characters in the string and there is
   at least one character, false otherwise.

   For 8-bit strings, this method is locale-dependent.


.. method:: str.istitle()

   Return true if the string is a titlecased string and there is at least one
   character, for example uppercase characters may only follow uncased characters
   and lowercase characters only cased ones.  Return false otherwise.

   For 8-bit strings, this method is locale-dependent.


.. method:: str.isupper()

   Return true if all cased characters in the string are uppercase and there is at
   least one cased character, false otherwise.

   For 8-bit strings, this method is locale-dependent.


.. method:: str.join(iterable)

   Return a string which is the concatenation of the strings in the
   :term:`iterable` *iterable*.  The separator between elements is the string
   providing this method.


.. method:: str.ljust(width[, fillchar])

   Return the string left justified in a string of length *width*. Padding is done
   using the specified *fillchar* (default is a space).  The original string is
   returned if *width* is less than ``len(s)``.

   .. versionchanged:: 2.4
      Support for the *fillchar* argument.


.. method:: str.lower()

   Return a copy of the string converted to lowercase.

   For 8-bit strings, this method is locale-dependent.


.. method:: str.lstrip([chars])

   Return a copy of the string with leading characters removed.  The *chars*
   argument is a string specifying the set of characters to be removed.  If omitted
   or ``None``, the *chars* argument defaults to removing whitespace.  The *chars*
   argument is not a prefix; rather, all combinations of its values are stripped:

      >>> '   spacious   '.lstrip()
      'spacious   '
      >>> 'www.example.com'.lstrip('cmowz.')
      'example.com'

   .. versionchanged:: 2.2.2
      Support for the *chars* argument.


.. method:: str.partition(sep)

   Split the string at the first occurrence of *sep*, and return a 3-tuple
   containing the part before the separator, the separator itself, and the part
   after the separator.  If the separator is not found, return a 3-tuple containing
   the string itself, followed by two empty strings.

   .. versionadded:: 2.5


.. method:: str.replace(old, new[, count])

   Return a copy of the string with all occurrences of substring *old* replaced by
   *new*.  If the optional argument *count* is given, only the first *count*
   occurrences are replaced.


.. method:: str.rfind(sub [,start [,end]])

   Return the highest index in the string where substring *sub* is found, such
   that *sub* is contained within ``s[start:end]``.  Optional arguments *start*
   and *end* are interpreted as in slice notation.  Return ``-1`` on failure.


.. method:: str.rindex(sub[, start[, end]])

   Like :meth:`rfind` but raises :exc:`ValueError` when the substring *sub* is not
   found.


.. method:: str.rjust(width[, fillchar])

   Return the string right justified in a string of length *width*. Padding is done
   using the specified *fillchar* (default is a space). The original string is
   returned if *width* is less than ``len(s)``.

   .. versionchanged:: 2.4
      Support for the *fillchar* argument.


.. method:: str.rpartition(sep)

   Split the string at the last occurrence of *sep*, and return a 3-tuple
   containing the part before the separator, the separator itself, and the part
   after the separator.  If the separator is not found, return a 3-tuple containing
   two empty strings, followed by the string itself.

   .. versionadded:: 2.5


.. method:: str.rsplit([sep [,maxsplit]])

   Return a list of the words in the string, using *sep* as the delimiter string.
   If *maxsplit* is given, at most *maxsplit* splits are done, the *rightmost*
   ones.  If *sep* is not specified or ``None``, any whitespace string is a
   separator.  Except for splitting from the right, :meth:`rsplit` behaves like
   :meth:`split` which is described in detail below.

   .. versionadded:: 2.4


.. method:: str.rstrip([chars])

   Return a copy of the string with trailing characters removed.  The *chars*
   argument is a string specifying the set of characters to be removed.  If omitted
   or ``None``, the *chars* argument defaults to removing whitespace.  The *chars*
   argument is not a suffix; rather, all combinations of its values are stripped:

      >>> '   spacious   '.rstrip()
      '   spacious'
      >>> 'mississippi'.rstrip('ipz')
      'mississ'

   .. versionchanged:: 2.2.2
      Support for the *chars* argument.


.. method:: str.split([sep[, maxsplit]])

   Return a list of the words in the string, using *sep* as the delimiter
   string.  If *maxsplit* is given, at most *maxsplit* splits are done (thus,
   the list will have at most ``maxsplit+1`` elements).  If *maxsplit* is not
   specified, then there is no limit on the number of splits (all possible
   splits are made).

   If *sep* is given, consecutive delimiters are not grouped together and are
   deemed to delimit empty strings (for example, ``'1,,2'.split(',')`` returns
   ``['1', '', '2']``).  The *sep* argument may consist of multiple characters
   (for example, ``'1<>2<>3'.split('<>')`` returns ``['1', '2', '3']``).
   Splitting an empty string with a specified separator returns ``['']``.

   If *sep* is not specified or is ``None``, a different splitting algorithm is
   applied: runs of consecutive whitespace are regarded as a single separator,
   and the result will contain no empty strings at the start or end if the
   string has leading or trailing whitespace.  Consequently, splitting an empty
   string or a string consisting of just whitespace with a ``None`` separator
   returns ``[]``.

   For example, ``' 1  2   3  '.split()`` returns ``['1', '2', '3']``, and
   ``'  1  2   3  '.split(None, 1)`` returns ``['1', '2   3  ']``.


.. method:: str.splitlines([keepends])

   Return a list of the lines in the string, breaking at line boundaries.  Line
   breaks are not included in the resulting list unless *keepends* is given and
   true.


.. method:: str.startswith(prefix[, start[, end]])

   Return ``True`` if string starts with the *prefix*, otherwise return ``False``.
   *prefix* can also be a tuple of prefixes to look for.  With optional *start*,
   test string beginning at that position.  With optional *end*, stop comparing
   string at that position.

   .. versionchanged:: 2.5
      Accept tuples as *prefix*.


.. method:: str.strip([chars])

   Return a copy of the string with the leading and trailing characters removed.
   The *chars* argument is a string specifying the set of characters to be removed.
   If omitted or ``None``, the *chars* argument defaults to removing whitespace.
   The *chars* argument is not a prefix or suffix; rather, all combinations of its
   values are stripped:

      >>> '   spacious   '.strip()
      'spacious'
      >>> 'www.example.com'.strip('cmowz.')
      'example'

   .. versionchanged:: 2.2.2
      Support for the *chars* argument.


.. method:: str.swapcase()

   Return a copy of the string with uppercase characters converted to lowercase and
   vice versa.

   For 8-bit strings, this method is locale-dependent.


.. method:: str.title()

   Return a titlecased version of the string where words start with an uppercase
   character and the remaining characters are lowercase.

   The algorithm uses a simple language-independent definition of a word as
   groups of consecutive letters.  The definition works in many contexts but
   it means that apostrophes in contractions and possessives form word
   boundaries, which may not be the desired result::

        >>> "they're bill's friends from the UK".title()
        "They'Re Bill'S Friends From The Uk"

   A workaround for apostrophes can be constructed using regular expressions::

        >>> import re
        >>> def titlecase(s):
                return re.sub(r"[A-Za-z]+('[A-Za-z]+)?",
                              lambda mo: mo.group(0)[0].upper() +
                                         mo.group(0)[1:].lower(),
                              s)

        >>> titlecase("they're bill's friends.")
        "They're Bill's Friends."

   For 8-bit strings, this method is locale-dependent.


.. method:: str.translate(table[, deletechars])

   Return a copy of the string where all characters occurring in the optional
   argument *deletechars* are removed, and the remaining characters have been
   mapped through the given translation table, which must be a string of length
   256.

   You can use the :func:`~string.maketrans` helper function in the :mod:`string`
   module to create a translation table. For string objects, set the *table*
   argument to ``None`` for translations that only delete characters:

      >>> 'read this short text'.translate(None, 'aeiou')
      'rd ths shrt txt'

   .. versionadded:: 2.6
      Support for a ``None`` *table* argument.

   For Unicode objects, the :meth:`translate` method does not accept the optional
   *deletechars* argument.  Instead, it returns a copy of the *s* where all
   characters have been mapped through the given translation table which must be a
   mapping of Unicode ordinals to Unicode ordinals, Unicode strings or ``None``.
   Unmapped characters are left untouched. Characters mapped to ``None`` are
   deleted.  Note, a more flexible approach is to create a custom character mapping
   codec using the :mod:`codecs` module (see :mod:`encodings.cp1251` for an
   example).


.. method:: str.upper()

   Return a copy of the string converted to uppercase.

   For 8-bit strings, this method is locale-dependent.


.. method:: str.zfill(width)

   Return the numeric string left filled with zeros in a string of length
   *width*.  A sign prefix is handled correctly.  The original string is
   returned if *width* is less than ``len(s)``.


   .. versionadded:: 2.2.2

The following methods are present only on unicode objects:

.. method:: unicode.isnumeric()

   Return ``True`` if there are only numeric characters in S, ``False``
   otherwise. Numeric characters include digit characters, and all characters
   that have the Unicode numeric value property, e.g. U+2155,
   VULGAR FRACTION ONE FIFTH.

.. method:: unicode.isdecimal()

   Return ``True`` if there are only decimal characters in S, ``False``
   otherwise. Decimal characters include digit characters, and all characters
   that that can be used to form decimal-radix numbers, e.g. U+0660,
   ARABIC-INDIC DIGIT ZERO.


.. _string-formatting:

String Formatting Operations
----------------------------

.. index::
   single: formatting, string (%)
   single: interpolation, string (%)
   single: string; formatting
   single: string; interpolation
   single: printf-style formatting
   single: sprintf-style formatting
   single: % formatting
   single: % interpolation

String and Unicode objects have one unique built-in operation: the ``%``
operator (modulo).  This is also known as the string *formatting* or
*interpolation* operator.  Given ``format % values`` (where *format* is a string
or Unicode object), ``%`` conversion specifications in *format* are replaced
with zero or more elements of *values*.  The effect is similar to the using
:cfunc:`sprintf` in the C language.  If *format* is a Unicode object, or if any
of the objects being converted using the ``%s`` conversion are Unicode objects,
the result will also be a Unicode object.

If *format* requires a single argument, *values* may be a single non-tuple
object. [#]_  Otherwise, *values* must be a tuple with exactly the number of
items specified by the format string, or a single mapping object (for example, a
dictionary).

A conversion specifier contains two or more characters and has the following
components, which must occur in this order:

#. The ``'%'`` character, which marks the start of the specifier.

#. Mapping key (optional), consisting of a parenthesised sequence of characters
   (for example, ``(somename)``).

#. Conversion flags (optional), which affect the result of some conversion
   types.

#. Minimum field width (optional).  If specified as an ``'*'`` (asterisk), the
   actual width is read from the next element of the tuple in *values*, and the
   object to convert comes after the minimum field width and optional precision.

#. Precision (optional), given as a ``'.'`` (dot) followed by the precision.  If
   specified as ``'*'`` (an asterisk), the actual width is read from the next
   element of the tuple in *values*, and the value to convert comes after the
   precision.

#. Length modifier (optional).

#. Conversion type.

When the right argument is a dictionary (or other mapping type), then the
formats in the string *must* include a parenthesised mapping key into that
dictionary inserted immediately after the ``'%'`` character. The mapping key
selects the value to be formatted from the mapping.  For example:

   >>> print '%(language)s has %(number)03d quote types.' % \
   ...       {"language": "Python", "number": 2}
   Python has 002 quote types.

In this case no ``*`` specifiers may occur in a format (since they require a
sequential parameter list).

The conversion flag characters are:

+---------+---------------------------------------------------------------------+
| Flag    | Meaning                                                             |
+=========+=====================================================================+
| ``'#'`` | The value conversion will use the "alternate form" (where defined   |
|         | below).                                                             |
+---------+---------------------------------------------------------------------+
| ``'0'`` | The conversion will be zero padded for numeric values.              |
+---------+---------------------------------------------------------------------+
| ``'-'`` | The converted value is left adjusted (overrides the ``'0'``         |
|         | conversion if both are given).                                      |
+---------+---------------------------------------------------------------------+
| ``' '`` | (a space) A blank should be left before a positive number (or empty |
|         | string) produced by a signed conversion.                            |
+---------+---------------------------------------------------------------------+
| ``'+'`` | A sign character (``'+'`` or ``'-'``) will precede the conversion   |
|         | (overrides a "space" flag).                                         |
+---------+---------------------------------------------------------------------+

A length modifier (``h``, ``l``, or ``L``) may be present, but is ignored as it
is not necessary for Python -- so e.g. ``%ld`` is identical to ``%d``.

The conversion types are:

+------------+-----------------------------------------------------+-------+
| Conversion | Meaning                                             | Notes |
+============+=====================================================+=======+
| ``'d'``    | Signed integer decimal.                             |       |
+------------+-----------------------------------------------------+-------+
| ``'i'``    | Signed integer decimal.                             |       |
+------------+-----------------------------------------------------+-------+
| ``'o'``    | Signed octal value.                                 | \(1)  |
+------------+-----------------------------------------------------+-------+
| ``'u'``    | Obsolete type -- it is identical to ``'d'``.        | \(7)  |
+------------+-----------------------------------------------------+-------+
| ``'x'``    | Signed hexadecimal (lowercase).                     | \(2)  |
+------------+-----------------------------------------------------+-------+
| ``'X'``    | Signed hexadecimal (uppercase).                     | \(2)  |
+------------+-----------------------------------------------------+-------+
| ``'e'``    | Floating point exponential format (lowercase).      | \(3)  |
+------------+-----------------------------------------------------+-------+
| ``'E'``    | Floating point exponential format (uppercase).      | \(3)  |
+------------+-----------------------------------------------------+-------+
| ``'f'``    | Floating point decimal format.                      | \(3)  |
+------------+-----------------------------------------------------+-------+
| ``'F'``    | Floating point decimal format.                      | \(3)  |
+------------+-----------------------------------------------------+-------+
| ``'g'``    | Floating point format. Uses lowercase exponential   | \(4)  |
|            | format if exponent is less than -4 or not less than |       |
|            | precision, decimal format otherwise.                |       |
+------------+-----------------------------------------------------+-------+
| ``'G'``    | Floating point format. Uses uppercase exponential   | \(4)  |
|            | format if exponent is less than -4 or not less than |       |
|            | precision, decimal format otherwise.                |       |
+------------+-----------------------------------------------------+-------+
| ``'c'``    | Single character (accepts integer or single         |       |
|            | character string).                                  |       |
+------------+-----------------------------------------------------+-------+
| ``'r'``    | String (converts any Python object using            | \(5)  |
|            | :func:`repr`).                                      |       |
+------------+-----------------------------------------------------+-------+
| ``'s'``    | String (converts any Python object using            | \(6)  |
|            | :func:`str`).                                       |       |
+------------+-----------------------------------------------------+-------+
| ``'%'``    | No argument is converted, results in a ``'%'``      |       |
|            | character in the result.                            |       |
+------------+-----------------------------------------------------+-------+

Notes:

(1)
   The alternate form causes a leading zero (``'0'``) to be inserted between
   left-hand padding and the formatting of the number if the leading character
   of the result is not already a zero.

(2)
   The alternate form causes a leading ``'0x'`` or ``'0X'`` (depending on whether
   the ``'x'`` or ``'X'`` format was used) to be inserted between left-hand padding
   and the formatting of the number if the leading character of the result is not
   already a zero.

(3)
   The alternate form causes the result to always contain a decimal point, even if
   no digits follow it.

   The precision determines the number of digits after the decimal point and
   defaults to 6.

(4)
   The alternate form causes the result to always contain a decimal point, and
   trailing zeroes are not removed as they would otherwise be.

   The precision determines the number of significant digits before and after the
   decimal point and defaults to 6.

(5)
   The ``%r`` conversion was added in Python 2.0.

   The precision determines the maximal number of characters used.

(6)
   If the object or format provided is a :class:`unicode` string, the resulting
   string will also be :class:`unicode`.

   The precision determines the maximal number of characters used.

(7)
   See :pep:`237`.

Since Python strings have an explicit length, ``%s`` conversions do not assume
that ``'\0'`` is the end of the string.

.. XXX Examples?

.. versionchanged:: 2.7
   ``%f`` conversions for numbers whose absolute value is over 1e50 are no
   longer replaced by ``%g`` conversions.

.. index::
   module: string
   module: re

Additional string operations are defined in standard modules :mod:`string` and
:mod:`re`.


.. _typesseq-xrange:

XRange Type
-----------

.. index:: object: xrange

The :class:`xrange` type is an immutable sequence which is commonly used for
looping.  The advantage of the :class:`xrange` type is that an :class:`xrange`
object will always take the same amount of memory, no matter the size of the
range it represents.  There are no consistent performance advantages.

XRange objects have very little behavior: they only support indexing, iteration,
and the :func:`len` function.


.. _typesseq-mutable:

Mutable Sequence Types
----------------------

.. index::
   triple: mutable; sequence; types
   object: list

List and :class:`bytearray` objects support additional operations that allow
in-place modification of the object. Other mutable sequence types (when added
to the language) should also support these operations. Strings and tuples
are immutable sequence types: such objects cannot be modified once created.
The following operations are defined on mutable sequence types (where *x* is
an arbitrary object):

.. index::
   triple: operations on; sequence; types
   triple: operations on; list; type
   pair: subscript; assignment
   pair: slice; assignment
   pair: extended slice; assignment
   statement: del
   single: append() (list method)
   single: extend() (list method)
   single: count() (list method)
   single: index() (list method)
   single: insert() (list method)
   single: pop() (list method)
   single: remove() (list method)
   single: reverse() (list method)
   single: sort() (list method)

+------------------------------+--------------------------------+---------------------+
| Operation                    | Result                         | Notes               |
+==============================+================================+=====================+
| ``s[i] = x``                 | item *i* of *s* is replaced by |                     |
|                              | *x*                            |                     |
+------------------------------+--------------------------------+---------------------+
| ``s[i:j] = t``               | slice of *s* from *i* to *j*   |                     |
|                              | is replaced by the contents of |                     |
|                              | the iterable *t*               |                     |
+------------------------------+--------------------------------+---------------------+
| ``del s[i:j]``               | same as ``s[i:j] = []``        |                     |
+------------------------------+--------------------------------+---------------------+
| ``s[i:j:k] = t``             | the elements of ``s[i:j:k]``   | \(1)                |
|                              | are replaced by those of *t*   |                     |
+------------------------------+--------------------------------+---------------------+
| ``del s[i:j:k]``             | removes the elements of        |                     |
|                              | ``s[i:j:k]`` from the list     |                     |
+------------------------------+--------------------------------+---------------------+
| ``s.append(x)``              | same as ``s[len(s):len(s)] =   | \(2)                |
|                              | [x]``                          |                     |
+------------------------------+--------------------------------+---------------------+
| ``s.extend(x)``              | same as ``s[len(s):len(s)] =   | \(3)                |
|                              | x``                            |                     |
+------------------------------+--------------------------------+---------------------+
| ``s.count(x)``               | return number of *i*'s for     |                     |
|                              | which ``s[i] == x``            |                     |
+------------------------------+--------------------------------+---------------------+
| ``s.index(x[, i[, j]])``     | return smallest *k* such that  | \(4)                |
|                              | ``s[k] == x`` and ``i <= k <   |                     |
|                              | j``                            |                     |
+------------------------------+--------------------------------+---------------------+
| ``s.insert(i, x)``           | same as ``s[i:i] = [x]``       | \(5)                |
+------------------------------+--------------------------------+---------------------+
| ``s.pop([i])``               | same as ``x = s[i]; del s[i];  | \(6)                |
|                              | return x``                     |                     |
+------------------------------+--------------------------------+---------------------+
| ``s.remove(x)``              | same as ``del s[s.index(x)]``  | \(4)                |
+------------------------------+--------------------------------+---------------------+
| ``s.reverse()``              | reverses the items of *s* in   | \(7)                |
|                              | place                          |                     |
+------------------------------+--------------------------------+---------------------+
| ``s.sort([cmp[, key[,        | sort the items of *s* in place | (7)(8)(9)(10)       |
| reverse]]])``                |                                |                     |
+------------------------------+--------------------------------+---------------------+

Notes:

(1)
   *t* must have the same length as the slice it is  replacing.

(2)
   The C implementation of Python has historically accepted multiple parameters and
   implicitly joined them into a tuple; this no longer works in Python 2.0.  Use of
   this misfeature has been deprecated since Python 1.4.

(3)
   *x* can be any iterable object.

(4)
   Raises :exc:`ValueError` when *x* is not found in *s*. When a negative index is
   passed as the second or third parameter to the :meth:`index` method, the list
   length is added, as for slice indices.  If it is still negative, it is truncated
   to zero, as for slice indices.

   .. versionchanged:: 2.3
      Previously, :meth:`index` didn't have arguments for specifying start and stop
      positions.

(5)
   When a negative index is passed as the first parameter to the :meth:`insert`
   method, the list length is added, as for slice indices.  If it is still
   negative, it is truncated to zero, as for slice indices.

   .. versionchanged:: 2.3
      Previously, all negative indices were truncated to zero.

(6)
   The :meth:`pop` method is only supported by the list and array types.  The
   optional argument *i* defaults to ``-1``, so that by default the last item is
   removed and returned.

(7)
   The :meth:`sort` and :meth:`reverse` methods modify the list in place for
   economy of space when sorting or reversing a large list.  To remind you that
   they operate by side effect, they don't return the sorted or reversed list.

(8)
   The :meth:`sort` method takes optional arguments for controlling the
   comparisons.

   *cmp* specifies a custom comparison function of two arguments (list items) which
   should return a negative, zero or positive number depending on whether the first
   argument is considered smaller than, equal to, or larger than the second
   argument: ``cmp=lambda x,y: cmp(x.lower(), y.lower())``.  The default value
   is ``None``.

   *key* specifies a function of one argument that is used to extract a comparison
   key from each list element: ``key=str.lower``.  The default value is ``None``.

   *reverse* is a boolean value.  If set to ``True``, then the list elements are
   sorted as if each comparison were reversed.

   In general, the *key* and *reverse* conversion processes are much faster than
   specifying an equivalent *cmp* function.  This is because *cmp* is called
   multiple times for each list element while *key* and *reverse* touch each
   element only once.  Use :func:`functools.cmp_to_key` to convert an
   old-style *cmp* function to a *key* function.

   .. versionchanged:: 2.3
      Support for ``None`` as an equivalent to omitting *cmp* was added.

   .. versionchanged:: 2.4
      Support for *key* and *reverse* was added.

(9)
   Starting with Python 2.3, the :meth:`sort` method is guaranteed to be stable.  A
   sort is stable if it guarantees not to change the relative order of elements
   that compare equal --- this is helpful for sorting in multiple passes (for
   example, sort by department, then by salary grade).

(10)
   .. impl-detail::

      While a list is being sorted, the effect of attempting to mutate, or even
      inspect, the list is undefined.  The C implementation of Python 2.3 and
      newer makes the list appear empty for the duration, and raises
      :exc:`ValueError` if it can detect that the list has been mutated during a
      sort.


.. _types-set:

Set Types --- :class:`set`, :class:`frozenset`
==============================================

.. index:: object: set

A :dfn:`set` object is an unordered collection of distinct :term:`hashable` objects.
Common uses include membership testing, removing duplicates from a sequence, and
computing mathematical operations such as intersection, union, difference, and
symmetric difference.
(For other containers see the built in :class:`dict`, :class:`list`,
and :class:`tuple` classes, and the :mod:`collections` module.)


.. versionadded:: 2.4

Like other collections, sets support ``x in set``, ``len(set)``, and ``for x in
set``.  Being an unordered collection, sets do not record element position or
order of insertion.  Accordingly, sets do not support indexing, slicing, or
other sequence-like behavior.

There are currently two built-in set types, :class:`set` and :class:`frozenset`.
The :class:`set` type is mutable --- the contents can be changed using methods
like :meth:`add` and :meth:`remove`.  Since it is mutable, it has no hash value
and cannot be used as either a dictionary key or as an element of another set.
The :class:`frozenset` type is immutable and :term:`hashable` --- its contents
cannot be altered after it is created; it can therefore be used as a dictionary
key or as an element of another set.

As of Python 2.7, non-empty sets (not frozensets) can be created by placing a
comma-separated list of elements within braces, for example: ``{'jack',
'sjoerd'}``, in addition to the :class:`set` constructor.

The constructors for both classes work the same:

.. class:: set([iterable])
           frozenset([iterable])

   Return a new set or frozenset object whose elements are taken from
   *iterable*.  The elements of a set must be hashable.  To represent sets of
   sets, the inner sets must be :class:`frozenset` objects.  If *iterable* is
   not specified, a new empty set is returned.

   Instances of :class:`set` and :class:`frozenset` provide the following
   operations:

   .. describe:: len(s)

      Return the cardinality of set *s*.

   .. describe:: x in s

      Test *x* for membership in *s*.

   .. describe:: x not in s

      Test *x* for non-membership in *s*.

   .. method:: isdisjoint(other)

      Return True if the set has no elements in common with *other*.  Sets are
      disjoint if and only if their intersection is the empty set.

      .. versionadded:: 2.6

   .. method:: issubset(other)
               set <= other

      Test whether every element in the set is in *other*.

   .. method:: set < other

      Test whether the set is a true subset of *other*, that is,
      ``set <= other and set != other``.

   .. method:: issuperset(other)
               set >= other

      Test whether every element in *other* is in the set.

   .. method:: set > other

      Test whether the set is a true superset of *other*, that is, ``set >=
      other and set != other``.

   .. method:: union(other, ...)
               set | other | ...

      Return a new set with elements from the set and all others.

      .. versionchanged:: 2.6
         Accepts multiple input iterables.

   .. method:: intersection(other, ...)
               set & other & ...

      Return a new set with elements common to the set and all others.

      .. versionchanged:: 2.6
         Accepts multiple input iterables.

   .. method:: difference(other, ...)
               set - other - ...

      Return a new set with elements in the set that are not in the others.

      .. versionchanged:: 2.6
         Accepts multiple input iterables.

   .. method:: symmetric_difference(other)
               set ^ other

      Return a new set with elements in either the set or *other* but not both.

   .. method:: copy()

      Return a new set with a shallow copy of *s*.


   Note, the non-operator versions of :meth:`union`, :meth:`intersection`,
   :meth:`difference`, and :meth:`symmetric_difference`, :meth:`issubset`, and
   :meth:`issuperset` methods will accept any iterable as an argument.  In
   contrast, their operator based counterparts require their arguments to be
   sets.  This precludes error-prone constructions like ``set('abc') & 'cbs'``
   in favor of the more readable ``set('abc').intersection('cbs')``.

   Both :class:`set` and :class:`frozenset` support set to set comparisons. Two
   sets are equal if and only if every element of each set is contained in the
   other (each is a subset of the other). A set is less than another set if and
   only if the first set is a proper subset of the second set (is a subset, but
   is not equal). A set is greater than another set if and only if the first set
   is a proper superset of the second set (is a superset, but is not equal).

   Instances of :class:`set` are compared to instances of :class:`frozenset`
   based on their members.  For example, ``set('abc') == frozenset('abc')``
   returns ``True`` and so does ``set('abc') in set([frozenset('abc')])``.

   The subset and equality comparisons do not generalize to a complete ordering
   function.  For example, any two disjoint sets are not equal and are not
   subsets of each other, so *all* of the following return ``False``: ``a<b``,
   ``a==b``, or ``a>b``. Accordingly, sets do not implement the :meth:`__cmp__`
   method.

   Since sets only define partial ordering (subset relationships), the output of
   the :meth:`list.sort` method is undefined for lists of sets.

   Set elements, like dictionary keys, must be :term:`hashable`.

   Binary operations that mix :class:`set` instances with :class:`frozenset`
   return the type of the first operand.  For example: ``frozenset('ab') |
   set('bc')`` returns an instance of :class:`frozenset`.

   The following table lists operations available for :class:`set` that do not
   apply to immutable instances of :class:`frozenset`:

   .. method:: update(other, ...)
               set |= other | ...

      Update the set, adding elements from all others.

      .. versionchanged:: 2.6
         Accepts multiple input iterables.

   .. method:: intersection_update(other, ...)
               set &= other & ...

      Update the set, keeping only elements found in it and all others.

      .. versionchanged:: 2.6
         Accepts multiple input iterables.

   .. method:: difference_update(other, ...)
               set -= other | ...

      Update the set, removing elements found in others.

      .. versionchanged:: 2.6
         Accepts multiple input iterables.

   .. method:: symmetric_difference_update(other)
               set ^= other

      Update the set, keeping only elements found in either set, but not in both.

   .. method:: add(elem)

      Add element *elem* to the set.

   .. method:: remove(elem)

      Remove element *elem* from the set.  Raises :exc:`KeyError` if *elem* is
      not contained in the set.

   .. method:: discard(elem)

      Remove element *elem* from the set if it is present.

   .. method:: pop()

      Remove and return an arbitrary element from the set.  Raises
      :exc:`KeyError` if the set is empty.

   .. method:: clear()

      Remove all elements from the set.


   Note, the non-operator versions of the :meth:`update`,
   :meth:`intersection_update`, :meth:`difference_update`, and
   :meth:`symmetric_difference_update` methods will accept any iterable as an
   argument.

   Note, the *elem* argument to the :meth:`__contains__`, :meth:`remove`, and
   :meth:`discard` methods may be a set.  To support searching for an equivalent
   frozenset, the *elem* set is temporarily mutated during the search and then
   restored.  During the search, the *elem* set should not be read or mutated
   since it does not have a meaningful value.


.. seealso::

   :ref:`comparison-to-builtin-set`
      Differences between the :mod:`sets` module and the built-in set types.


.. _typesmapping:

Mapping Types --- :class:`dict`
===============================

.. index::
   object: mapping
   object: dictionary
   triple: operations on; mapping; types
   triple: operations on; dictionary; type
   statement: del
   builtin: len

A :dfn:`mapping` object maps :term:`hashable` values to arbitrary objects.
Mappings are mutable objects.  There is currently only one standard mapping
type, the :dfn:`dictionary`.  (For other containers see the built in
:class:`list`, :class:`set`, and :class:`tuple` classes, and the
:mod:`collections` module.)

A dictionary's keys are *almost* arbitrary values.  Values that are not
:term:`hashable`, that is, values containing lists, dictionaries or other
mutable types (that are compared by value rather than by object identity) may
not be used as keys.  Numeric types used for keys obey the normal rules for
numeric comparison: if two numbers compare equal (such as ``1`` and ``1.0``)
then they can be used interchangeably to index the same dictionary entry.  (Note
however, that since computers store floating-point numbers as approximations it
is usually unwise to use them as dictionary keys.)

Dictionaries can be created by placing a comma-separated list of ``key: value``
pairs within braces, for example: ``{'jack': 4098, 'sjoerd': 4127}`` or ``{4098:
'jack', 4127: 'sjoerd'}``, or by the :class:`dict` constructor.

.. class:: dict([arg])

   Return a new dictionary initialized from an optional positional argument or from
   a set of keyword arguments. If no arguments are given, return a new empty
   dictionary. If the positional argument *arg* is a mapping object, return a
   dictionary mapping the same keys to the same values as does the mapping object.
   Otherwise the positional argument must be a sequence, a container that supports
   iteration, or an iterator object.  The elements of the argument must each also
   be of one of those kinds, and each must in turn contain exactly two objects.
   The first is used as a key in the new dictionary, and the second as the key's
   value.  If a given key is seen more than once, the last value associated with it
   is retained in the new dictionary.

   If keyword arguments are given, the keywords themselves with their associated
   values are added as items to the dictionary. If a key is specified both in the
   positional argument and as a keyword argument, the value associated with the
   keyword is retained in the dictionary. For example, these all return a
   dictionary equal to ``{"one": 1, "two": 2}``:

   * ``dict(one=1, two=2)``
   * ``dict({'one': 1, 'two': 2})``
   * ``dict(zip(('one', 'two'), (1, 2)))``
   * ``dict([['two', 2], ['one', 1]])``

   The first example only works for keys that are valid Python
   identifiers; the others work with any valid keys.

   .. versionadded:: 2.2

   .. versionchanged:: 2.3
      Support for building a dictionary from keyword arguments added.


   These are the operations that dictionaries support (and therefore, custom
   mapping types should support too):

   .. describe:: len(d)

      Return the number of items in the dictionary *d*.

   .. describe:: d[key]

      Return the item of *d* with key *key*.  Raises a :exc:`KeyError` if *key*
      is not in the map.

      .. versionadded:: 2.5
         If a subclass of dict defines a method :meth:`__missing__`, if the key
         *key* is not present, the ``d[key]`` operation calls that method with
         the key *key* as argument.  The ``d[key]`` operation then returns or
         raises whatever is returned or raised by the ``__missing__(key)`` call
         if the key is not present. No other operations or methods invoke
         :meth:`__missing__`. If :meth:`__missing__` is not defined,
         :exc:`KeyError` is raised.  :meth:`__missing__` must be a method; it
         cannot be an instance variable. For an example, see
         :class:`collections.defaultdict`.

   .. describe:: d[key] = value

      Set ``d[key]`` to *value*.

   .. describe:: del d[key]

      Remove ``d[key]`` from *d*.  Raises a :exc:`KeyError` if *key* is not in the
      map.

   .. describe:: key in d

      Return ``True`` if *d* has a key *key*, else ``False``.

      .. versionadded:: 2.2

   .. describe:: key not in d

      Equivalent to ``not key in d``.

      .. versionadded:: 2.2

   .. describe:: iter(d)

      Return an iterator over the keys of the dictionary.  This is a shortcut
      for :meth:`iterkeys`.

   .. method:: clear()

      Remove all items from the dictionary.

   .. method:: copy()

      Return a shallow copy of the dictionary.

   .. method:: fromkeys(seq[, value])

      Create a new dictionary with keys from *seq* and values set to *value*.

      :func:`fromkeys` is a class method that returns a new dictionary. *value*
      defaults to ``None``.

      .. versionadded:: 2.3

   .. method:: get(key[, default])

      Return the value for *key* if *key* is in the dictionary, else *default*.
      If *default* is not given, it defaults to ``None``, so that this method
      never raises a :exc:`KeyError`.

   .. method:: has_key(key)

      Test for the presence of *key* in the dictionary.  :meth:`has_key` is
      deprecated in favor of ``key in d``.

   .. method:: items()

      Return a copy of the dictionary's list of ``(key, value)`` pairs.

      .. impl-detail::

         Keys and values are listed in an arbitrary order which is non-random,
         varies across Python implementations, and depends on the dictionary's
         history of insertions and deletions.

      If :meth:`items`, :meth:`keys`, :meth:`values`, :meth:`iteritems`,
      :meth:`iterkeys`, and :meth:`itervalues` are called with no intervening
      modifications to the dictionary, the lists will directly correspond.  This
      allows the creation of ``(value, key)`` pairs using :func:`zip`: ``pairs =
      zip(d.values(), d.keys())``.  The same relationship holds for the
      :meth:`iterkeys` and :meth:`itervalues` methods: ``pairs =
      zip(d.itervalues(), d.iterkeys())`` provides the same value for
      ``pairs``. Another way to create the same list is ``pairs = [(v, k) for
      (k, v) in d.iteritems()]``.

   .. method:: iteritems()

      Return an iterator over the dictionary's ``(key, value)`` pairs.  See the
      note for :meth:`dict.items`.

      Using :meth:`iteritems` while adding or deleting entries in the dictionary
      may raise a :exc:`RuntimeError` or fail to iterate over all entries.

      .. versionadded:: 2.2

   .. method:: iterkeys()

      Return an iterator over the dictionary's keys.  See the note for
      :meth:`dict.items`.

      Using :meth:`iterkeys` while adding or deleting entries in the dictionary
      may raise a :exc:`RuntimeError` or fail to iterate over all entries.

      .. versionadded:: 2.2

   .. method:: itervalues()

      Return an iterator over the dictionary's values.  See the note for
      :meth:`dict.items`.

      Using :meth:`itervalues` while adding or deleting entries in the
      dictionary may raise a :exc:`RuntimeError` or fail to iterate over all
      entries.

      .. versionadded:: 2.2

   .. method:: keys()

      Return a copy of the dictionary's list of keys.  See the note for
      :meth:`dict.items`.

   .. method:: pop(key[, default])

      If *key* is in the dictionary, remove it and return its value, else return
      *default*.  If *default* is not given and *key* is not in the dictionary,
      a :exc:`KeyError` is raised.

      .. versionadded:: 2.3

   .. method:: popitem()

      Remove and return an arbitrary ``(key, value)`` pair from the dictionary.

      :func:`popitem` is useful to destructively iterate over a dictionary, as
      often used in set algorithms.  If the dictionary is empty, calling
      :func:`popitem` raises a :exc:`KeyError`.

   .. method:: setdefault(key[, default])

      If *key* is in the dictionary, return its value.  If not, insert *key*
      with a value of *default* and return *default*.  *default* defaults to
      ``None``.

   .. method:: update([other])

      Update the dictionary with the key/value pairs from *other*, overwriting
      existing keys.  Return ``None``.

      :func:`update` accepts either another dictionary object or an iterable of
      key/value pairs (as tuples or other iterables of length two).  If keyword
      arguments are specified, the dictionary is then updated with those
      key/value pairs: ``d.update(red=1, blue=2)``.

      .. versionchanged:: 2.4
          Allowed the argument to be an iterable of key/value pairs and allowed
          keyword arguments.

   .. method:: values()

      Return a copy of the dictionary's list of values.  See the note for
      :meth:`dict.items`.

   .. method:: viewitems()

      Return a new view of the dictionary's items (``(key, value)`` pairs).  See
      below for documentation of view objects.

      .. versionadded:: 2.7

   .. method:: viewkeys()

      Return a new view of the dictionary's keys.  See below for documentation of
      view objects.

      .. versionadded:: 2.7

   .. method:: viewvalues()

      Return a new view of the dictionary's values.  See below for documentation of
      view objects.

      .. versionadded:: 2.7


.. _dict-views:

Dictionary view objects
-----------------------

The objects returned by :meth:`dict.viewkeys`, :meth:`dict.viewvalues` and
:meth:`dict.viewitems` are *view objects*.  They provide a dynamic view on the
dictionary's entries, which means that when the dictionary changes, the view
reflects these changes.

Dictionary views can be iterated over to yield their respective data, and
support membership tests:

.. describe:: len(dictview)

   Return the number of entries in the dictionary.

.. describe:: iter(dictview)

   Return an iterator over the keys, values or items (represented as tuples of
   ``(key, value)``) in the dictionary.

   Keys and values are iterated over in an arbitrary order which is non-random,
   varies across Python implementations, and depends on the dictionary's history
   of insertions and deletions. If keys, values and items views are iterated
   over with no intervening modifications to the dictionary, the order of items
   will directly correspond.  This allows the creation of ``(value, key)`` pairs
   using :func:`zip`: ``pairs = zip(d.values(), d.keys())``.  Another way to
   create the same list is ``pairs = [(v, k) for (k, v) in d.items()]``.

   Iterating views while adding or deleting entries in the dictionary may raise
   a :exc:`RuntimeError` or fail to iterate over all entries.

.. describe:: x in dictview

   Return ``True`` if *x* is in the underlying dictionary's keys, values or
   items (in the latter case, *x* should be a ``(key, value)`` tuple).


Keys views are set-like since their entries are unique and hashable.  If all
values are hashable, so that (key, value) pairs are unique and hashable, then
the items view is also set-like.  (Values views are not treated as set-like
since the entries are generally not unique.)  Then these set operations are
available ("other" refers either to another view or a set):

.. describe:: dictview & other

   Return the intersection of the dictview and the other object as a new set.

.. describe:: dictview | other

   Return the union of the dictview and the other object as a new set.

.. describe:: dictview - other

   Return the difference between the dictview and the other object (all elements
   in *dictview* that aren't in *other*) as a new set.

.. describe:: dictview ^ other

   Return the symmetric difference (all elements either in *dictview* or
   *other*, but not in both) of the dictview and the other object as a new set.


An example of dictionary view usage::

   >>> dishes = {'eggs': 2, 'sausage': 1, 'bacon': 1, 'spam': 500}
   >>> keys = dishes.viewkeys()
   >>> values = dishes.viewvalues()

   >>> # iteration
   >>> n = 0
   >>> for val in values:
   ...     n += val
   >>> print(n)
   504

   >>> # keys and values are iterated over in the same order
   >>> list(keys)
   ['eggs', 'bacon', 'sausage', 'spam']
   >>> list(values)
   [2, 1, 1, 500]

   >>> # view objects are dynamic and reflect dict changes
   >>> del dishes['eggs']
   >>> del dishes['sausage']
   >>> list(keys)
   ['spam', 'bacon']

   >>> # set operations
   >>> keys & {'eggs', 'bacon', 'salad'}
   {'bacon'}


.. _bltin-file-objects:

File Objects
============

.. index::
   object: file
   builtin: file
   module: os
   module: socket

File objects are implemented using C's ``stdio`` package and can be
created with the built-in :func:`open` function.  File
objects are also returned by some other built-in functions and methods,
such as :func:`os.popen` and :func:`os.fdopen` and the :meth:`makefile`
method of socket objects. Temporary files can be created using the
:mod:`tempfile` module, and high-level file operations such as copying,
moving, and deleting files and directories can be achieved with the
:mod:`shutil` module.

When a file operation fails for an I/O-related reason, the exception
:exc:`IOError` is raised.  This includes situations where the operation is not
defined for some reason, like :meth:`seek` on a tty device or writing a file
opened for reading.

Files have the following methods:


.. method:: file.close()

   Close the file.  A closed file cannot be read or written any more. Any operation
   which requires that the file be open will raise a :exc:`ValueError` after the
   file has been closed.  Calling :meth:`close` more than once is allowed.

   As of Python 2.5, you can avoid having to call this method explicitly if you use
   the :keyword:`with` statement.  For example, the following code will
   automatically close *f* when the :keyword:`with` block is exited::

      from __future__ import with_statement # This isn't required in Python 2.6

      with open("hello.txt") as f:
          for line in f:
              print line

   In older versions of Python, you would have needed to do this to get the same
   effect::

      f = open("hello.txt")
      try:
          for line in f:
              print line
      finally:
          f.close()

   .. note::

      Not all "file-like" types in Python support use as a context manager for the
      :keyword:`with` statement.  If your code is intended to work with any file-like
      object, you can use the function :func:`contextlib.closing` instead of using
      the object directly.


.. method:: file.flush()

   Flush the internal buffer, like ``stdio``'s :cfunc:`fflush`.  This may be a
   no-op on some file-like objects.

   .. note::

      :meth:`flush` does not necessarily write the file's data to disk.  Use
      :meth:`flush` followed by :func:`os.fsync` to ensure this behavior.


.. method:: file.fileno()

   .. index::
      pair: file; descriptor
      module: fcntl

   Return the integer "file descriptor" that is used by the underlying
   implementation to request I/O operations from the operating system.  This can be
   useful for other, lower level interfaces that use file descriptors, such as the
   :mod:`fcntl` module or :func:`os.read` and friends.

   .. note::

      File-like objects which do not have a real file descriptor should *not* provide
      this method!


.. method:: file.isatty()

   Return ``True`` if the file is connected to a tty(-like) device, else ``False``.

   .. note::

      If a file-like object is not associated with a real file, this method should
      *not* be implemented.


.. method:: file.next()

   A file object is its own iterator, for example ``iter(f)`` returns *f* (unless
   *f* is closed).  When a file is used as an iterator, typically in a
   :keyword:`for` loop (for example, ``for line in f: print line``), the
   :meth:`.next` method is called repeatedly.  This method returns the next input
   line, or raises :exc:`StopIteration` when EOF is hit when the file is open for
   reading (behavior is undefined when the file is open for writing).  In order to
   make a :keyword:`for` loop the most efficient way of looping over the lines of a
   file (a very common operation), the :meth:`next` method uses a hidden read-ahead
   buffer.  As a consequence of using a read-ahead buffer, combining :meth:`.next`
   with other file methods (like :meth:`readline`) does not work right.  However,
   using :meth:`seek` to reposition the file to an absolute position will flush the
   read-ahead buffer.

   .. versionadded:: 2.3


.. method:: file.read([size])

   Read at most *size* bytes from the file (less if the read hits EOF before
   obtaining *size* bytes).  If the *size* argument is negative or omitted, read
   all data until EOF is reached.  The bytes are returned as a string object.  An
   empty string is returned when EOF is encountered immediately.  (For certain
   files, like ttys, it makes sense to continue reading after an EOF is hit.)  Note
   that this method may call the underlying C function :cfunc:`fread` more than
   once in an effort to acquire as close to *size* bytes as possible. Also note
   that when in non-blocking mode, less data than was requested may be
   returned, even if no *size* parameter was given.

   .. note::
      This function is simply a wrapper for the underlying
      :cfunc:`fread` C function, and will behave the same in corner cases,
      such as whether the EOF value is cached.


.. method:: file.readline([size])

   Read one entire line from the file.  A trailing newline character is kept in
   the string (but may be absent when a file ends with an incomplete line). [#]_
   If the *size* argument is present and non-negative, it is a maximum byte
   count (including the trailing newline) and an incomplete line may be
   returned. When *size* is not 0, an empty string is returned *only* when EOF
   is encountered immediately.

   .. note::

      Unlike ``stdio``'s :cfunc:`fgets`, the returned string contains null characters
      (``'\0'``) if they occurred in the input.


.. method:: file.readlines([sizehint])

   Read until EOF using :meth:`readline` and return a list containing the lines
   thus read.  If the optional *sizehint* argument is present, instead of
   reading up to EOF, whole lines totalling approximately *sizehint* bytes
   (possibly after rounding up to an internal buffer size) are read.  Objects
   implementing a file-like interface may choose to ignore *sizehint* if it
   cannot be implemented, or cannot be implemented efficiently.


.. method:: file.xreadlines()

   This method returns the same thing as ``iter(f)``.

   .. versionadded:: 2.1

   .. deprecated:: 2.3
      Use ``for line in file`` instead.


.. method:: file.seek(offset[, whence])

   Set the file's current position, like ``stdio``'s :cfunc:`fseek`. The *whence*
   argument is optional and defaults to  ``os.SEEK_SET`` or ``0`` (absolute file
   positioning); other values are ``os.SEEK_CUR`` or ``1`` (seek relative to the
   current position) and ``os.SEEK_END`` or ``2``  (seek relative to the file's
   end).  There is no return value.

   For example, ``f.seek(2, os.SEEK_CUR)`` advances the position by two and
   ``f.seek(-3, os.SEEK_END)`` sets the position to the third to last.

   Note that if the file is opened for appending
   (mode ``'a'`` or ``'a+'``), any :meth:`seek` operations will be undone at the
   next write.  If the file is only opened for writing in append mode (mode
   ``'a'``), this method is essentially a no-op, but it remains useful for files
   opened in append mode with reading enabled (mode ``'a+'``).  If the file is
   opened in text mode (without ``'b'``), only offsets returned by :meth:`tell` are
   legal.  Use of other offsets causes undefined behavior.

   Note that not all file objects are seekable.

   .. versionchanged:: 2.6
      Passing float values as offset has been deprecated.


.. method:: file.tell()

   Return the file's current position, like ``stdio``'s :cfunc:`ftell`.

   .. note::

      On Windows, :meth:`tell` can return illegal values (after an :cfunc:`fgets`)
      when reading files with Unix-style line-endings. Use binary mode (``'rb'``) to
      circumvent this problem.


.. method:: file.truncate([size])

   Truncate the file's size.  If the optional *size* argument is present, the file
   is truncated to (at most) that size.  The size defaults to the current position.
   The current file position is not changed.  Note that if a specified size exceeds
   the file's current size, the result is platform-dependent:  possibilities
   include that the file may remain unchanged, increase to the specified size as if
   zero-filled, or increase to the specified size with undefined new content.
   Availability:  Windows, many Unix variants.


.. method:: file.write(str)

   Write a string to the file.  There is no return value.  Due to buffering, the
   string may not actually show up in the file until the :meth:`flush` or
   :meth:`close` method is called.


.. method:: file.writelines(sequence)

   Write a sequence of strings to the file.  The sequence can be any iterable
   object producing strings, typically a list of strings. There is no return value.
   (The name is intended to match :meth:`readlines`; :meth:`writelines` does not
   add line separators.)

Files support the iterator protocol.  Each iteration returns the same result as
``file.readline()``, and iteration ends when the :meth:`readline` method returns
an empty string.

File objects also offer a number of other interesting attributes. These are not
required for file-like objects, but should be implemented if they make sense for
the particular object.


.. attribute:: file.closed

   bool indicating the current state of the file object.  This is a read-only
   attribute; the :meth:`close` method changes the value. It may not be available
   on all file-like objects.


.. attribute:: file.encoding

   The encoding that this file uses. When Unicode strings are written to a file,
   they will be converted to byte strings using this encoding. In addition, when
   the file is connected to a terminal, the attribute gives the encoding that the
   terminal is likely to use (that  information might be incorrect if the user has
   misconfigured the  terminal). The attribute is read-only and may not be present
   on all file-like objects. It may also be ``None``, in which case the file uses
   the system default encoding for converting Unicode strings.

   .. versionadded:: 2.3


.. attribute:: file.errors

   The Unicode error handler used along with the encoding.

   .. versionadded:: 2.6


.. attribute:: file.mode

   The I/O mode for the file.  If the file was created using the :func:`open`
   built-in function, this will be the value of the *mode* parameter.  This is a
   read-only attribute and may not be present on all file-like objects.


.. attribute:: file.name

   If the file object was created using :func:`open`, the name of the file.
   Otherwise, some string that indicates the source of the file object, of the
   form ``<...>``.  This is a read-only attribute and may not be present on all
   file-like objects.


.. attribute:: file.newlines

   If Python was built with universal newlines enabled (the default) this
   read-only attribute exists, and for files opened in universal newline read
   mode it keeps track of the types of newlines encountered while reading the
   file. The values it can take are ``'\r'``, ``'\n'``, ``'\r\n'``, ``None``
   (unknown, no newlines read yet) or a tuple containing all the newline types
   seen, to indicate that multiple newline conventions were encountered. For
   files not opened in universal newline read mode the value of this attribute
   will be ``None``.


.. attribute:: file.softspace

   Boolean that indicates whether a space character needs to be printed before
   another value when using the :keyword:`print` statement. Classes that are trying
   to simulate a file object should also have a writable :attr:`softspace`
   attribute, which should be initialized to zero.  This will be automatic for most
   classes implemented in Python (care may be needed for objects that override
   attribute access); types implemented in C will have to provide a writable
   :attr:`softspace` attribute.

   .. note::

      This attribute is not used to control the :keyword:`print` statement, but to
      allow the implementation of :keyword:`print` to keep track of its internal
      state.


.. _typememoryview:

memoryview type
===============

.. versionadded:: 2.7

:class:`memoryview` objects allow Python code to access the internal data
of an object that supports the buffer protocol without copying.  Memory
is generally interpreted as simple bytes.

.. class:: memoryview(obj)

   Create a :class:`memoryview` that references *obj*.  *obj* must support the
   buffer protocol.  Built-in objects that support the buffer protocol include
   :class:`str` and :class:`bytearray` (but not :class:`unicode`).

   A :class:`memoryview` has the notion of an *element*, which is the
   atomic memory unit handled by the originating object *obj*.  For many
   simple types such as :class:`str` and :class:`bytearray`, an element
   is a single byte, but other third-party types may expose larger elements.

   ``len(view)`` returns the total number of elements in the memoryview,
   *view*.  The :class:`~memoryview.itemsize` attribute will give you the
   number of bytes in a single element.

   A :class:`memoryview` supports slicing to expose its data.  Taking a single
   index will return a single element as a :class:`str` object.  Full
   slicing will result in a subview::

      >>> v = memoryview('abcefg')
      >>> v[1]
      'b'
      >>> v[-1]
      'g'
      >>> v[1:4]
      <memory at 0x77ab28>
      >>> v[1:4].tobytes()
      'bce'

   If the object the memoryview is over supports changing its data, the
   memoryview supports slice assignment::

      >>> data = bytearray('abcefg')
      >>> v = memoryview(data)
      >>> v.readonly
      False
      >>> v[0] = 'z'
      >>> data
      bytearray(b'zbcefg')
      >>> v[1:4] = '123'
      >>> data
      bytearray(b'z123fg')
      >>> v[2] = 'spam'
      Traceback (most recent call last):
        File "<stdin>", line 1, in <module>
      ValueError: cannot modify size of memoryview object

   Notice how the size of the memoryview object cannot be changed.

   :class:`memoryview` has two methods:

   .. method:: tobytes()

      Return the data in the buffer as a bytestring (an object of class
      :class:`str`). ::

         >>> m = memoryview("abc")
         >>> m.tobytes()
         'abc'

   .. method:: tolist()

      Return the data in the buffer as a list of integers. ::

         >>> memoryview("abc").tolist()
         [97, 98, 99]

   There are also several readonly attributes available:

   .. attribute:: format

      A string containing the format (in :mod:`struct` module style) for each
      element in the view.  This defaults to ``'B'``, a simple bytestring.

   .. attribute:: itemsize

      The size in bytes of each element of the memoryview.

   .. attribute:: shape

      A tuple of integers the length of :attr:`ndim` giving the shape of the
      memory as a N-dimensional array.

   .. attribute:: ndim

      An integer indicating how many dimensions of a multi-dimensional array the
      memory represents.

   .. attribute:: strides

      A tuple of integers the length of :attr:`ndim` giving the size in bytes to
      access each element for each dimension of the array.

   .. attribute:: readonly

      A bool indicating whether the memory is read only.

   .. memoryview.suboffsets isn't documented because it only seems useful for C


.. _typecontextmanager:

Context Manager Types
=====================

.. versionadded:: 2.5

.. index::
   single: context manager
   single: context management protocol
   single: protocol; context management

Python's :keyword:`with` statement supports the concept of a runtime context
defined by a context manager.  This is implemented using two separate methods
that allow user-defined classes to define a runtime context that is entered
before the statement body is executed and exited when the statement ends.

The :dfn:`context management protocol` consists of a pair of methods that need
to be provided for a context manager object to define a runtime context:


.. method:: contextmanager.__enter__()

   Enter the runtime context and return either this object or another object
   related to the runtime context. The value returned by this method is bound to
   the identifier in the :keyword:`as` clause of :keyword:`with` statements using
   this context manager.

   An example of a context manager that returns itself is a file object. File
   objects return themselves from __enter__() to allow :func:`open` to be used as
   the context expression in a :keyword:`with` statement.

   An example of a context manager that returns a related object is the one
   returned by :func:`decimal.localcontext`. These managers set the active
   decimal context to a copy of the original decimal context and then return the
   copy. This allows changes to be made to the current decimal context in the body
   of the :keyword:`with` statement without affecting code outside the
   :keyword:`with` statement.


.. method:: contextmanager.__exit__(exc_type, exc_val, exc_tb)

   Exit the runtime context and return a Boolean flag indicating if any exception
   that occurred should be suppressed. If an exception occurred while executing the
   body of the :keyword:`with` statement, the arguments contain the exception type,
   value and traceback information. Otherwise, all three arguments are ``None``.

   Returning a true value from this method will cause the :keyword:`with` statement
   to suppress the exception and continue execution with the statement immediately
   following the :keyword:`with` statement. Otherwise the exception continues
   propagating after this method has finished executing. Exceptions that occur
   during execution of this method will replace any exception that occurred in the
   body of the :keyword:`with` statement.

   The exception passed in should never be reraised explicitly - instead, this
   method should return a false value to indicate that the method completed
   successfully and does not want to suppress the raised exception. This allows
   context management code (such as ``contextlib.nested``) to easily detect whether
   or not an :meth:`__exit__` method has actually failed.

Python defines several context managers to support easy thread synchronisation,
prompt closure of files or other objects, and simpler manipulation of the active
decimal arithmetic context. The specific types are not treated specially beyond
their implementation of the context management protocol. See the
:mod:`contextlib` module for some examples.

Python's :term:`generator`\s and the ``contextlib.contextmanager`` :term:`decorator`
provide a convenient way to implement these protocols.  If a generator function is
decorated with the ``contextlib.contextmanager`` decorator, it will return a
context manager implementing the necessary :meth:`__enter__` and
:meth:`__exit__` methods, rather than the iterator produced by an undecorated
generator function.

Note that there is no specific slot for any of these methods in the type
structure for Python objects in the Python/C API. Extension types wanting to
define these methods must provide them as a normal Python accessible method.
Compared to the overhead of setting up the runtime context, the overhead of a
single class dictionary lookup is negligible.


.. _typesother:

Other Built-in Types
====================

The interpreter supports several other kinds of objects. Most of these support
only one or two operations.


.. _typesmodules:

Modules
-------

The only special operation on a module is attribute access: ``m.name``, where
*m* is a module and *name* accesses a name defined in *m*'s symbol table.
Module attributes can be assigned to.  (Note that the :keyword:`import`
statement is not, strictly speaking, an operation on a module object; ``import
foo`` does not require a module object named *foo* to exist, rather it requires
an (external) *definition* for a module named *foo* somewhere.)

A special member of every module is :attr:`__dict__`. This is the dictionary
containing the module's symbol table. Modifying this dictionary will actually
change the module's symbol table, but direct assignment to the :attr:`__dict__`
attribute is not possible (you can write ``m.__dict__['a'] = 1``, which defines
``m.a`` to be ``1``, but you can't write ``m.__dict__ = {}``).  Modifying
:attr:`__dict__` directly is not recommended.

Modules built into the interpreter are written like this: ``<module 'sys'
(built-in)>``.  If loaded from a file, they are written as ``<module 'os' from
'/usr/local/lib/pythonX.Y/os.pyc'>``.


.. _typesobjects:

Classes and Class Instances
---------------------------

See :ref:`objects` and :ref:`class` for these.


.. _typesfunctions:

Functions
---------

Function objects are created by function definitions.  The only operation on a
function object is to call it: ``func(argument-list)``.

There are really two flavors of function objects: built-in functions and
user-defined functions.  Both support the same operation (to call the function),
but the implementation is different, hence the different object types.

See :ref:`function` for more information.


.. _typesmethods:

Methods
-------

.. index:: object: method

Methods are functions that are called using the attribute notation. There are
two flavors: built-in methods (such as :meth:`append` on lists) and class
instance methods.  Built-in methods are described with the types that support
them.

The implementation adds two special read-only attributes to class instance
methods: ``m.im_self`` is the object on which the method operates, and
``m.im_func`` is the function implementing the method.  Calling ``m(arg-1,
arg-2, ..., arg-n)`` is completely equivalent to calling ``m.im_func(m.im_self,
arg-1, arg-2, ..., arg-n)``.

Class instance methods are either *bound* or *unbound*, referring to whether the
method was accessed through an instance or a class, respectively.  When a method
is unbound, its ``im_self`` attribute will be ``None`` and if called, an
explicit ``self`` object must be passed as the first argument.  In this case,
``self`` must be an instance of the unbound method's class (or a subclass of
that class), otherwise a :exc:`TypeError` is raised.

Like function objects, methods objects support getting arbitrary attributes.
However, since method attributes are actually stored on the underlying function
object (``meth.im_func``), setting method attributes on either bound or unbound
methods is disallowed.  Attempting to set a method attribute results in a
:exc:`TypeError` being raised.  In order to set a method attribute, you need to
explicitly set it on the underlying function object::

   class C:
       def method(self):
           pass

   c = C()
   c.method.im_func.whoami = 'my name is c'

See :ref:`types` for more information.


.. _bltin-code-objects:

Code Objects
------------

.. index:: object: code

.. index::
   builtin: compile
   single: func_code (function object attribute)

Code objects are used by the implementation to represent "pseudo-compiled"
executable Python code such as a function body. They differ from function
objects because they don't contain a reference to their global execution
environment.  Code objects are returned by the built-in :func:`compile` function
and can be extracted from function objects through their :attr:`func_code`
attribute. See also the :mod:`code` module.

.. index::
   statement: exec
   builtin: eval

A code object can be executed or evaluated by passing it (instead of a source
string) to the :keyword:`exec` statement or the built-in :func:`eval` function.

See :ref:`types` for more information.


.. _bltin-type-objects:

Type Objects
------------

.. index::
   builtin: type
   module: types

Type objects represent the various object types.  An object's type is accessed
by the built-in function :func:`type`.  There are no special operations on
types.  The standard module :mod:`types` defines names for all standard built-in
types.

Types are written like this: ``<type 'int'>``.


.. _bltin-null-object:

The Null Object
---------------

This object is returned by functions that don't explicitly return a value.  It
supports no special operations.  There is exactly one null object, named
``None`` (a built-in name).

It is written as ``None``.


.. _bltin-ellipsis-object:

The Ellipsis Object
-------------------

This object is used by extended slice notation (see :ref:`slicings`).  It
supports no special operations.  There is exactly one ellipsis object, named
:const:`Ellipsis` (a built-in name).

It is written as ``Ellipsis``.


Boolean Values
--------------

Boolean values are the two constant objects ``False`` and ``True``.  They are
used to represent truth values (although other values can also be considered
false or true).  In numeric contexts (for example when used as the argument to
an arithmetic operator), they behave like the integers 0 and 1, respectively.
The built-in function :func:`bool` can be used to cast any value to a Boolean,
if the value can be interpreted as a truth value (see section Truth Value
Testing above).

.. index::
   single: False
   single: True
   pair: Boolean; values

They are written as ``False`` and ``True``, respectively.


.. _typesinternal:

Internal Objects
----------------

See :ref:`types` for this information.  It describes stack frame objects,
traceback objects, and slice objects.


.. _specialattrs:

Special Attributes
==================

The implementation adds a few special read-only attributes to several object
types, where they are relevant.  Some of these are not reported by the
:func:`dir` built-in function.


.. attribute:: object.__dict__

   A dictionary or other mapping object used to store an object's (writable)
   attributes.


.. attribute:: object.__methods__

   .. deprecated:: 2.2
      Use the built-in function :func:`dir` to get a list of an object's attributes.
      This attribute is no longer available.


.. attribute:: object.__members__

   .. deprecated:: 2.2
      Use the built-in function :func:`dir` to get a list of an object's attributes.
      This attribute is no longer available.


.. attribute:: instance.__class__

   The class to which a class instance belongs.


.. attribute:: class.__bases__

   The tuple of base classes of a class object.


.. attribute:: class.__name__

   The name of the class or type.


The following attributes are only supported by :term:`new-style class`\ es.

.. attribute:: class.__mro__

   This attribute is a tuple of classes that are considered when looking for
   base classes during method resolution.


.. method:: class.mro()

   This method can be overridden by a metaclass to customize the method
   resolution order for its instances.  It is called at class instantiation, and
   its result is stored in :attr:`__mro__`.


.. method:: class.__subclasses__

   Each new-style class keeps a list of weak references to its immediate
   subclasses.  This method returns a list of all those references still alive.
   Example::

      >>> int.__subclasses__()
      [<type 'bool'>]


.. rubric:: Footnotes

.. [#] Additional information on these special methods may be found in the Python
   Reference Manual (:ref:`customization`).

.. [#] As a consequence, the list ``[1, 2]`` is considered equal to ``[1.0, 2.0]``, and
   similarly for tuples.

.. [#] They must have since the parser can't tell the type of the operands.

.. [#] To format only a tuple you should therefore provide a singleton tuple whose only
   element is the tuple to be formatted.

.. [#] The advantage of leaving the newline on is that returning an empty string is
   then an unambiguous EOF indication.  It is also possible (in cases where it
   might matter, for example, if you want to make an exact copy of a file while
   scanning its lines) to tell whether the last line of a file ended in a newline
   or not (yes this happens!).