File size: 143,441 Bytes
2260825
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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
# coding=utf-8
# Copyright 2020 The Google AI Language Team Authors, Facebook AI Research authors and The HuggingFace Inc. team.
# Copyright (c) 2020, NVIDIA CORPORATION.  All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.

import warnings
from dataclasses import dataclass
from typing import Any, Callable, Dict, Iterable, List, Optional, Tuple, Union

import torch
import torch.distributed as dist
from torch import nn

from .file_utils import ModelOutput
from .generation_beam_search import BeamScorer, BeamSearchScorer
from .generation_logits_process import (
    EncoderNoRepeatNGramLogitsProcessor,
    ForcedBOSTokenLogitsProcessor,
    ForcedEOSTokenLogitsProcessor,
    HammingDiversityLogitsProcessor,
    InfNanRemoveLogitsProcessor,
    LogitsProcessorList,
    MinLengthLogitsProcessor,
    NoBadWordsLogitsProcessor,
    NoRepeatNGramLogitsProcessor,
    PrefixConstrainedLogitsProcessor,
    RepetitionPenaltyLogitsProcessor,
    TemperatureLogitsWarper,
    TopKLogitsWarper,
    TopPLogitsWarper,
)
from .generation_stopping_criteria import (
    MaxLengthCriteria,
    MaxNewTokensCriteria,
    MaxTimeCriteria,
    StoppingCriteriaList,
    validate_stopping_criteria,
)
from .utils import logging


logger = logging.get_logger(__name__)


@dataclass
class GreedySearchDecoderOnlyOutput(ModelOutput):
    """
    Base class for outputs of decoder-only generation models using greedy search.


    Args:
        sequences (:obj:`torch.LongTensor` of shape :obj:`(batch_size, sequence_length)`):
            The generated sequences. The second dimension (sequence_length) is either equal to :obj:`max_length` or
            shorter if all batches finished early due to the :obj:`eos_token_id`.
        scores (:obj:`tuple(torch.FloatTensor)` `optional`, returned when ``output_scores=True`` is passed or when ``config.output_scores=True``):
            Processed prediction scores of the language modeling head (scores for each vocabulary token before SoftMax)
            at each generation step. :obj:`(max_length-input_ids.shape[-1],)`-shaped tuple of :obj:`torch.FloatTensor`
            with each tensor of shape :obj:`(batch_size, config.vocab_size)`).
        attentions (:obj:`tuple(tuple(torch.FloatTensor))`, `optional`, returned when ``output_attentions=True`` is passed or ``config.output_attentions=True``):
            Tuple (one element for each generated token) of tuples (one element for each layer of the decoder) of
            :obj:`torch.FloatTensor` of shape :obj:`(batch_size, num_heads, generated_length, sequence_length)`.
        hidden_states (:obj:`tuple(tuple(torch.FloatTensor))`, `optional`, returned when ``output_hidden_states=True`` is passed or when ``config.output_hidden_states=True``):
            Tuple (one element for each generated token) of tuples (one element for each layer of the decoder) of
            :obj:`torch.FloatTensor` of shape :obj:`(batch_size, generated_length, hidden_size)`.
    """

    sequences: torch.LongTensor = None
    scores: Optional[Tuple[torch.FloatTensor]] = None
    attentions: Optional[Tuple[Tuple[torch.FloatTensor]]] = None
    hidden_states: Optional[Tuple[Tuple[torch.FloatTensor]]] = None


@dataclass
class GreedySearchEncoderDecoderOutput(ModelOutput):
    """
    Base class for outputs of encoder-decoder generation models using greedy search. Hidden states and attention
    weights of the decoder (respectively the encoder) can be accessed via the encoder_attentions and the
    encoder_hidden_states attributes (respectively the decoder_attentions and the decoder_hidden_states attributes)


    Args:
        sequences (:obj:`torch.LongTensor` of shape :obj:`(batch_size, sequence_length)`):
            The generated sequences. The second dimension (sequence_length) is either equal to :obj:`max_length` or
            shorter if all batches finished early due to the :obj:`eos_token_id`.
        scores (:obj:`tuple(torch.FloatTensor)` `optional`, returned when ``output_scores=True`` is passed or when ``config.output_scores=True``):
            Processed prediction scores of the language modeling head (scores for each vocabulary token before SoftMax)
            at each generation step. :obj:`(max_length-1,)`-shaped tuple of :obj:`torch.FloatTensor` with each tensor
            of shape :obj:`(batch_size, config.vocab_size)`).
        encoder_attentions (:obj:`tuple(torch.FloatTensor)`, `optional`, returned when ``output_attentions=True`` is passed or ``config.output_attentions=True``):
            Tuple of :obj:`torch.FloatTensor` (one for each layer of the decoder) of shape :obj:`(batch_size,
            num_heads, sequence_length, sequence_length)`.
        encoder_hidden_states (:obj:`tuple(torch.FloatTensor)`, `optional`, returned when ``output_hidden_states=True`` is passed or when ``config.output_hidden_states=True``):
            Tuple of :obj:`torch.FloatTensor` (one for the output of the embeddings + one for the output of each layer)
            of shape :obj:`(batch_size, sequence_length, hidden_size)`.
        decoder_attentions (:obj:`tuple(tuple(torch.FloatTensor))`, `optional`, returned when ``output_attentions=True`` is passed or ``config.output_attentions=True``):
            Tuple (one element for each generated token) of tuples (one element for each layer of the decoder) of
            :obj:`torch.FloatTensor` of shape :obj:`(batch_size, num_heads, generated_length, sequence_length)`.
        cross_attentions (:obj:`tuple(tuple(torch.FloatTensor))`, `optional`, returned when ``output_attentions=True`` is passed or ``config.output_attentions=True``):
            Tuple (one element for each generated token) of tuples (one element for each layer of the decoder) of
            :obj:`torch.FloatTensor` of shape :obj:`(batch_size, num_heads, generated_length, sequence_length)`.
        decoder_hidden_states (:obj:`tuple(tuple(torch.FloatTensor))`, `optional`, returned when ``output_hidden_states=True`` is passed or when ``config.output_hidden_states=True``):
            Tuple (one element for each generated token) of tuples (one element for each layer of the decoder) of
            :obj:`torch.FloatTensor` of shape :obj:`(batch_size, generated_length, hidden_size)`.
    """

    sequences: torch.LongTensor = None
    scores: Optional[Tuple[torch.FloatTensor]] = None
    encoder_attentions: Optional[Tuple[torch.FloatTensor]] = None
    encoder_hidden_states: Optional[Tuple[torch.FloatTensor]] = None
    decoder_attentions: Optional[Tuple[Tuple[torch.FloatTensor]]] = None
    cross_attentions: Optional[Tuple[Tuple[torch.FloatTensor]]] = None
    decoder_hidden_states: Optional[Tuple[Tuple[torch.FloatTensor]]] = None


@dataclass
class SampleDecoderOnlyOutput(ModelOutput):
    """
    Base class for outputs of decoder-only generation models using sampling.


    Args:
        sequences (:obj:`torch.LongTensor` of shape :obj:`(batch_size*num_return_sequences, sequence_length)`):
            The generated sequences. The second dimension (sequence_length) is either equal to :obj:`max_length` or
            shorter if all batches finished early due to the :obj:`eos_token_id`.
        scores (:obj:`tuple(torch.FloatTensor)` `optional`, returned when ``output_scores=True`` is passed or when ``config.output_scores=True``):
            Processed prediction scores of the language modeling head (scores for each vocabulary token before SoftMax)
            at each generation step. :obj:`(max_length-input_ids.shape[-1],)`-shaped tuple of :obj:`torch.FloatTensor`
            with each tensor of shape :obj:`(batch_size*num_return_sequences, config.vocab_size)`).
        attentions (:obj:`tuple(tuple(torch.FloatTensor))`, `optional`, returned when ``output_attentions=True`` is passed or ``config.output_attentions=True``):
            Tuple (one element for each generated token) of tuples (one element for each layer of the decoder) of
            :obj:`torch.FloatTensor` of shape :obj:`(num_return_sequences*batch_size, num_heads, generated_length,
            sequence_length)`.
        hidden_states (:obj:`tuple(tuple(torch.FloatTensor))`, `optional`, returned when ``output_hidden_states=True`` is passed or when ``config.output_hidden_states=True``):
            Tuple (one element for each generated token) of tuples (one element for each layer of the decoder) of
            :obj:`torch.FloatTensor` of shape :obj:`(num_return_sequences*batch_size, generated_length, hidden_size)`.
    """

    sequences: torch.LongTensor = None
    scores: Optional[Tuple[torch.FloatTensor]] = None
    attentions: Optional[Tuple[Tuple[torch.FloatTensor]]] = None
    hidden_states: Optional[Tuple[Tuple[torch.FloatTensor]]] = None


@dataclass
class SampleEncoderDecoderOutput(ModelOutput):
    """
    Base class for outputs of encoder-decoder generation models using sampling. Hidden states and attention weights of
    the decoder (respectively the encoder) can be accessed via the encoder_attentions and the encoder_hidden_states
    attributes (respectively the decoder_attentions and the decoder_hidden_states attributes)


    Args:
        sequences (:obj:`torch.LongTensor` of shape :obj:`(batch_size*num_return_sequences, sequence_length)`):
            The generated sequences. The second dimension (sequence_length) is either equal to :obj:`max_length` or
            shorter if all batches finished early due to the :obj:`eos_token_id`.
        scores (:obj:`tuple(torch.FloatTensor)` `optional`, returned when ``output_scores=True`` is passed or when ``config.output_scores=True``):
            Processed prediction scores of the language modeling head (scores for each vocabulary token before SoftMax)
            at each generation step. :obj:`(max_length-1,)`-shaped tuple of :obj:`torch.FloatTensor` with each tensor
            of shape :obj:`(batch_size*num_return_sequences, config.vocab_size)`).
        encoder_attentions (:obj:`tuple(torch.FloatTensor)`, `optional`, returned when ``output_attentions=True`` is passed or ``config.output_attentions=True``):
            Tuple of :obj:`torch.FloatTensor` (one for each layer of the decoder) of shape
            :obj:`(batch_size*num_return_sequences, num_heads, sequence_length, sequence_length)`.
        encoder_hidden_states (:obj:`tuple(torch.FloatTensor)`, `optional`, returned when ``output_hidden_states=True`` is passed or when ``config.output_hidden_states=True``):
            Tuple of :obj:`torch.FloatTensor` (one for the output of the embeddings + one for the output of each layer)
            of shape :obj:`(batch_size*num_return_sequences, sequence_length, hidden_size)`.
        decoder_attentions (:obj:`tuple(tuple(torch.FloatTensor))`, `optional`, returned when ``output_attentions=True`` is passed or ``config.output_attentions=True``):
            Tuple (one element for each generated token) of tuples (one element for each layer of the decoder) of
            :obj:`torch.FloatTensor` of shape :obj:`(batch_size*num_return_sequences, num_heads, generated_length,
            sequence_length)`.
        cross_attentions (:obj:`tuple(tuple(torch.FloatTensor))`, `optional`, returned when ``output_attentions=True`` is passed or ``config.output_attentions=True``):
            Tuple (one element for each generated token) of tuples (one element for each layer of the decoder) of
            :obj:`torch.FloatTensor` of shape :obj:`(batch_size, num_heads, generated_length, sequence_length)`.
        decoder_hidden_states (:obj:`tuple(tuple(torch.FloatTensor))`, `optional`, returned when ``output_hidden_states=True`` is passed or when ``config.output_hidden_states=True``):
            Tuple (one element for each generated token) of tuples (one element for each layer of the decoder) of
            :obj:`torch.FloatTensor` of shape :obj:`(batch_size*num_return_sequences, generated_length, hidden_size)`.
    """

    sequences: torch.LongTensor = None
    scores: Optional[Tuple[torch.FloatTensor]] = None
    encoder_attentions: Optional[Tuple[torch.FloatTensor]] = None
    encoder_hidden_states: Optional[Tuple[torch.FloatTensor]] = None
    decoder_attentions: Optional[Tuple[Tuple[torch.FloatTensor]]] = None
    cross_attentions: Optional[Tuple[Tuple[torch.FloatTensor]]] = None
    decoder_hidden_states: Optional[Tuple[Tuple[torch.FloatTensor]]] = None


@dataclass
class BeamSearchDecoderOnlyOutput(ModelOutput):
    """
    Base class for outputs of decoder-only generation models using beam search.

    Args:
        sequences (:obj:`torch.LongTensor` of shape :obj:`(batch_size*num_return_sequences, sequence_length)`):
            The generated sequences. The second dimension (sequence_length) is either equal to :obj:`max_length` or
            shorter if all batches finished early due to the :obj:`eos_token_id`.
        sequences_scores (:obj:`torch.FloatTensor` of shape :obj:`(batch_size*num_return_sequences)`, `optional`, returned when ``output_scores=True`` is passed or when ``config.output_scores=True``):
            Final beam scores of the generated ``sequences``.
        scores (:obj:`tuple(torch.FloatTensor)` `optional`, returned when ``output_scores=True`` is passed or when ``config.output_scores=True``):
            Processed beam scores for each vocabulary token at each generation step. Beam scores consisting of log
            softmax scores for each vocabulary token and sum of log softmax of previously generated tokens in this beam
            . :obj:`(max_length-input_ids.shape[-1],)`-shaped tuple of :obj:`torch.FloatTensor` with each tensor of
            shape :obj:`(batch_size*num_beams*num_return_sequences, config.vocab_size)`).
        attentions (:obj:`tuple(tuple(torch.FloatTensor))`, `optional`, returned when ``output_attentions=True`` is passed or ``config.output_attentions=True``):
            Tuple (one element for each generated token) of tuples (one element for each layer of the decoder) of
            :obj:`torch.FloatTensor` of shape :obj:`(batch_size*num_beams, num_heads, generated_length,
            sequence_length)`.
        hidden_states (:obj:`tuple(tuple(torch.FloatTensor))`, `optional`, returned when ``output_hidden_states=True`` is passed or when ``config.output_hidden_states=True``):
            Tuple (one element for each generated token) of tuples (one element for each layer of the decoder) of
            :obj:`torch.FloatTensor` of shape :obj:`(batch_size*num_beams*num_return_sequences, generated_length,
            hidden_size)`.
    """

    sequences: torch.LongTensor = None
    sequences_scores: Optional[torch.FloatTensor] = None
    scores: Optional[Tuple[torch.FloatTensor]] = None
    attentions: Optional[Tuple[Tuple[torch.FloatTensor]]] = None
    hidden_states: Optional[Tuple[Tuple[torch.FloatTensor]]] = None


@dataclass
class BeamSearchEncoderDecoderOutput(ModelOutput):
    """
    Base class for outputs of encoder-decoder generation models using beam search. Hidden states and attention weights
    of the decoder (respectively the encoder) can be accessed via the encoder_attentions and the encoder_hidden_states
    attributes (respectively the decoder_attentions and the decoder_hidden_states attributes)

    Args:
        sequences (:obj:`torch.LongTensor` of shape :obj:`(batch_size*num_return_sequences, sequence_length)`):
            The generated sequences. The second dimension (sequence_length) is either equal to :obj:`max_length` or
            shorter if all batches finished early due to the :obj:`eos_token_id`.
        sequences_scores (:obj:`torch.FloatTensor` of shape :obj:`(batch_size*num_return_sequences)`, `optional`, returned when ``output_scores=True`` is passed or when ``config.output_scores=True``):
            Final beam scores of the generated ``sequences``.
        scores (:obj:`tuple(torch.FloatTensor)` `optional`, returned when ``output_scores=True`` is passed or when ``config.output_scores=True``):
            Processed beam scores for each vocabulary token at each generation step. Beam scores consisting of log
            softmax scores for each vocabulary token and sum of log softmax of previously generated tokens in this beam
            . :obj:`(max_length-1,)`-shaped tuple of :obj:`torch.FloatTensor` with each tensor of shape
            :obj:`(batch_size*num_beams, config.vocab_size)`).
        attentions (:obj:`tuple(tuple(torch.FloatTensor))`, `optional`, returned when ``output_attentions=True`` is passed or ``config.output_attentions=True``):
        encoder_attentions (:obj:`tuple(torch.FloatTensor)`, `optional`, returned when ``output_attentions=True`` is passed or ``config.output_attentions=True``):
            Tuple of :obj:`torch.FloatTensor` (one for each layer of the decoder) of shape :obj:`(batch_size,
            num_heads, sequence_length, sequence_length)`.
        encoder_hidden_states (:obj:`tuple(torch.FloatTensor)`, `optional`, returned when ``output_hidden_states=True`` is passed or when ``config.output_hidden_states=True``):
            Tuple of :obj:`torch.FloatTensor` (one for the output of the embeddings + one for the output of each layer)
            of shape :obj:`(batch_size*num_beams*num_return_sequences, sequence_length, hidden_size)`.
        decoder_attentions (:obj:`tuple(tuple(torch.FloatTensor))`, `optional`, returned when ``output_attentions=True`` is passed or ``config.output_attentions=True``):
            Tuple (one element for each generated token) of tuples (one element for each layer of the decoder) of
            :obj:`torch.FloatTensor` of shape :obj:`(batch_size*num_beams*num_return_sequences, num_heads,
            generated_length, sequence_length)`.
        cross_attentions (:obj:`tuple(tuple(torch.FloatTensor))`, `optional`, returned when ``output_attentions=True`` is passed or ``config.output_attentions=True``):
            Tuple (one element for each generated token) of tuples (one element for each layer of the decoder) of
            :obj:`torch.FloatTensor` of shape :obj:`(batch_size, num_heads, generated_length, sequence_length)`.
        decoder_hidden_states (:obj:`tuple(tuple(torch.FloatTensor))`, `optional`, returned when ``output_hidden_states=True`` is passed or when ``config.output_hidden_states=True``):
            Tuple (one element for each generated token) of tuples (one element for each layer of the decoder) of
            :obj:`torch.FloatTensor` of shape :obj:`(batch_size*num_beams*num_return_sequences, generated_length,
            hidden_size)`.
    """

    sequences: torch.LongTensor = None
    sequences_scores: Optional[torch.FloatTensor] = None
    scores: Optional[Tuple[torch.FloatTensor]] = None
    encoder_attentions: Optional[Tuple[torch.FloatTensor]] = None
    encoder_hidden_states: Optional[Tuple[torch.FloatTensor]] = None
    decoder_attentions: Optional[Tuple[Tuple[torch.FloatTensor]]] = None
    cross_attentions: Optional[Tuple[Tuple[torch.FloatTensor]]] = None
    decoder_hidden_states: Optional[Tuple[Tuple[torch.FloatTensor]]] = None


@dataclass
class BeamSampleDecoderOnlyOutput(ModelOutput):
    """
    Base class for outputs of decoder-only generation models using beam sample.

    Args:
        sequences (:obj:`torch.LongTensor` of shape :obj:`(batch_size*num_return_sequences, sequence_length)`):
            The generated sequences. The second dimension (sequence_length) is either equal to :obj:`max_length` or
            shorter if all batches finished early due to the :obj:`eos_token_id`.
        sequences_scores (:obj:`torch.FloatTensor` of shape :obj:`(batch_size * num_return_sequence)`, `optional`, returned when ``output_scores=True`` is passed or when ``config.output_scores=True``):
            Final beam scores of the generated ``sequences``.
        scores (:obj:`tuple(torch.FloatTensor)` `optional`, returned when ``output_scores=True`` is passed or when ``config.output_scores=True``):
            Processed beam scores for each vocabulary token at each generation step. Beam scores consisting of log
            softmax scores for each vocabulary token and sum of log softmax of previously generated tokens in this beam
            . :obj:`(max_length-input_ids.shape[-1],)`-shaped tuple of :obj:`torch.FloatTensor` with each tensor of
            shape :obj:`(batch_size*num_beams*num_return_sequences, config.vocab_size)`).
        attentions (:obj:`tuple(tuple(torch.FloatTensor))`, `optional`, returned when ``output_attentions=True`` is passed or ``config.output_attentions=True``):
            Tuple (one element for each generated token) of tuples (one element for each layer of the decoder) of
            :obj:`torch.FloatTensor` of shape :obj:`(batch_size*num_beams, num_heads, generated_length,
            sequence_length)`.
        hidden_states (:obj:`tuple(tuple(torch.FloatTensor))`, `optional`, returned when ``output_hidden_states=True`` is passed or when ``config.output_hidden_states=True``):
            Tuple (one element for each generated token) of tuples (one element for each layer of the decoder) of
            :obj:`torch.FloatTensor` of shape :obj:`(batch_size*num_beams, generated_length, hidden_size)`.
    """

    sequences: torch.LongTensor = None
    sequences_scores: Optional[torch.FloatTensor] = None
    scores: Optional[Tuple[torch.FloatTensor]] = None
    attentions: Optional[Tuple[Tuple[torch.FloatTensor]]] = None
    hidden_states: Optional[Tuple[Tuple[torch.FloatTensor]]] = None


@dataclass
class BeamSampleEncoderDecoderOutput(ModelOutput):
    """
    Base class for outputs of encoder-decoder generation models using beam sampling. Hidden states and attention
    weights of the decoder (respectively the encoder) can be accessed via the encoder_attentions and the
    encoder_hidden_states attributes (respectively the decoder_attentions and the decoder_hidden_states attributes)

    Args:
        sequences (:obj:`torch.LongTensor` of shape :obj:`(batch_size*num_beams, sequence_length)`):
            The generated sequences. The second dimension (sequence_length) is either equal to :obj:`max_length` or
            shorter if all batches finished early due to the :obj:`eos_token_id`.
        sequences_scores (:obj:`torch.FloatTensor` of shape :obj:`(batch_size * num_return_sequence)`, `optional`, returned when ``output_scores=True`` is passed or when ``config.output_scores=True``):
            Final beam scores of the generated ``sequences``.
        scores (:obj:`tuple(torch.FloatTensor)` `optional`, returned when ``output_scores=True`` is passed or when ``config.output_scores=True``):
            Processed beam scores for each vocabulary token at each generation step. Beam scores consisting of log
            softmax scores for each vocabulary token and sum of log softmax of previously generated tokens in this beam
            . :obj:`(max_length-1,)`-shaped tuple of :obj:`torch.FloatTensor` with each tensor of shape
            :obj:`(batch_size*num_beams, config.vocab_size)`).
        encoder_attentions (:obj:`tuple(torch.FloatTensor)`, `optional`, returned when ``output_attentions=True`` is passed or ``config.output_attentions=True``):
            Tuple of :obj:`torch.FloatTensor` (one for each layer of the decoder) of shape :obj:`(batch_size,
            num_heads, sequence_length, sequence_length)`.
        encoder_hidden_states (:obj:`tuple(torch.FloatTensor)`, `optional`, returned when ``output_hidden_states=True`` is passed or when ``config.output_hidden_states=True``):
            Tuple of :obj:`torch.FloatTensor` (one for the output of the embeddings + one for the output of each layer)
            of shape :obj:`(batch_size*num_beams, sequence_length, hidden_size)`.
        decoder_attentions (:obj:`tuple(tuple(torch.FloatTensor))`, `optional`, returned when ``output_attentions=True`` is passed or ``config.output_attentions=True``):
            Tuple (one element for each generated token) of tuples (one element for each layer of the decoder) of
            :obj:`torch.FloatTensor` of shape :obj:`(batch_size*num_beams, num_heads, generated_length,
            sequence_length)`.
        cross_attentions (:obj:`tuple(tuple(torch.FloatTensor))`, `optional`, returned when ``output_attentions=True`` is passed or ``config.output_attentions=True``):
            Tuple (one element for each generated token) of tuples (one element for each layer of the decoder) of
            :obj:`torch.FloatTensor` of shape :obj:`(batch_size, num_heads, generated_length, sequence_length)`.
        decoder_hidden_states (:obj:`tuple(tuple(torch.FloatTensor))`, `optional`, returned when ``output_hidden_states=True`` is passed or when ``config.output_hidden_states=True``):
            Tuple (one element for each generated token) of tuples (one element for each layer of the decoder) of
            :obj:`torch.FloatTensor` of shape :obj:`(batch_size*num_beams, generated_length, hidden_size)`.
    """

    sequences: torch.LongTensor = None
    sequences_scores: Optional[torch.FloatTensor] = None
    scores: Optional[Tuple[torch.FloatTensor]] = None
    encoder_attentions: Optional[Tuple[torch.FloatTensor]] = None
    encoder_hidden_states: Optional[Tuple[torch.FloatTensor]] = None
    decoder_attentions: Optional[Tuple[Tuple[torch.FloatTensor]]] = None
    cross_attentions: Optional[Tuple[Tuple[torch.FloatTensor]]] = None
    decoder_hidden_states: Optional[Tuple[Tuple[torch.FloatTensor]]] = None


GreedySearchOutput = Union[GreedySearchEncoderDecoderOutput, GreedySearchDecoderOnlyOutput]
SampleOutput = Union[SampleEncoderDecoderOutput, SampleDecoderOnlyOutput]
BeamSearchOutput = Union[BeamSearchEncoderDecoderOutput, BeamSearchDecoderOnlyOutput]
BeamSampleOutput = Union[BeamSampleEncoderDecoderOutput, BeamSampleDecoderOnlyOutput]


class GenerationMixin:
    """
    A class containing all of the functions supporting generation, to be used as a mixin in
    :class:`~transformers.PreTrainedModel`.
    """

    def prepare_inputs_for_generation(self, input_ids: torch.LongTensor, **kwargs) -> Dict[str, Any]:
        """
        Implement in subclasses of :class:`~transformers.PreTrainedModel` for custom behavior to prepare inputs in the
        generate method.
        """
        return {"input_ids": input_ids}

    def adjust_logits_during_generation(self, logits: torch.FloatTensor, **kwargs) -> torch.FloatTensor:
        """
        Implement in subclasses of :class:`~transformers.PreTrainedModel` for custom behavior to adjust the logits in
        the generate method.
        """
        return logits

    def _prepare_input_ids_for_generation(
        self, bos_token_id: Optional[int], encoder_outputs: Optional[ModelOutput]
    ) -> torch.LongTensor:
        if self.config.is_encoder_decoder and encoder_outputs is not None:
            # make dummy input_ids with value -100, as a sanity check ensuring that they won't be used for encoding
            shape = encoder_outputs.last_hidden_state.size()[:-1]
            return torch.ones(shape, dtype=torch.long, device=self.device) * -100

        if bos_token_id is None:
            raise ValueError("`bos_token_id` has to be defined when no `input_ids` are provided.")
        return torch.ones((1, 1), dtype=torch.long, device=self.device) * bos_token_id

    def _prepare_attention_mask_for_generation(
        self, input_ids: torch.Tensor, pad_token_id: int, eos_token_id: int
    ) -> torch.LongTensor:
        is_pad_token_in_inputs_ids = (pad_token_id is not None) and (pad_token_id in input_ids)
        is_pad_token_not_equal_to_eos_token_id = (eos_token_id is None) or (
            (eos_token_id is not None) and (pad_token_id != eos_token_id)
        )
        if is_pad_token_in_inputs_ids and is_pad_token_not_equal_to_eos_token_id:
            return input_ids.ne(pad_token_id).long()
        return input_ids.new_ones(input_ids.shape, dtype=torch.long)

    def _prepare_encoder_decoder_kwargs_for_generation(
        self, input_ids: torch.LongTensor, model_kwargs
    ) -> Dict[str, Any]:
        if "encoder_outputs" not in model_kwargs:
            # retrieve encoder hidden states
            encoder = self.get_encoder()
            encoder_kwargs = {
                argument: value
                for argument, value in model_kwargs.items()
                if not (argument.startswith("decoder_") or argument.startswith("cross_attn"))
            }
            model_kwargs["encoder_outputs"]: ModelOutput = encoder(input_ids, return_dict=True, **encoder_kwargs)
        return model_kwargs

    def _prepare_decoder_input_ids_for_generation(
        self, input_ids: torch.LongTensor, decoder_start_token_id: int = None, bos_token_id: int = None
    ) -> torch.LongTensor:
        decoder_start_token_id = self._get_decoder_start_token_id(decoder_start_token_id, bos_token_id)
        decoder_input_ids = (
            torch.ones((input_ids.shape[0], 1), dtype=torch.long, device=input_ids.device) * decoder_start_token_id
        )
        return decoder_input_ids

    def _get_pad_token_id(self, pad_token_id: int = None, eos_token_id: int = None) -> int:
        if pad_token_id is None and eos_token_id is not None:
            logger.warning(f"Setting `pad_token_id` to `eos_token_id`:{eos_token_id} for open-end generation.")
            pad_token_id = eos_token_id
        return pad_token_id

    def _get_decoder_start_token_id(self, decoder_start_token_id: int = None, bos_token_id: int = None) -> int:
        decoder_start_token_id = (
            decoder_start_token_id if decoder_start_token_id is not None else self.config.decoder_start_token_id
        )
        bos_token_id = bos_token_id if bos_token_id is not None else self.config.bos_token_id

        if decoder_start_token_id is not None:
            return decoder_start_token_id
        elif (
            hasattr(self.config, "decoder")
            and hasattr(self.config.decoder, "decoder_start_token_id")
            and self.config.decoder.decoder_start_token_id is not None
        ):
            return self.config.decoder.decoder_start_token_id
        elif bos_token_id is not None:
            return bos_token_id
        elif (
            hasattr(self.config, "decoder")
            and hasattr(self.config.decoder, "bos_token_id")
            and self.config.decoder.bos_token_id is not None
        ):
            return self.config.decoder.bos_token_id
        raise ValueError(
            "`decoder_start_token_id` or `bos_token_id` has to be defined for encoder-decoder generation."
        )

    @staticmethod
    def _expand_inputs_for_generation(
        input_ids: torch.LongTensor,
        expand_size: int = 1,
        is_encoder_decoder: bool = False,
        attention_mask: torch.LongTensor = None,
        encoder_outputs: ModelOutput = None,
        **model_kwargs,
    ) -> Tuple[torch.LongTensor, Dict[str, Any]]:
        expanded_return_idx = (
            torch.arange(input_ids.shape[0]).view(-1, 1).repeat(1, expand_size).view(-1).to(input_ids.device)
        )
        input_ids = input_ids.index_select(0, expanded_return_idx)

        if "token_type_ids" in model_kwargs:
            token_type_ids = model_kwargs["token_type_ids"]
            model_kwargs["token_type_ids"] = token_type_ids.index_select(0, expanded_return_idx)

        if attention_mask is not None:
            model_kwargs["attention_mask"] = attention_mask.index_select(0, expanded_return_idx)

        if is_encoder_decoder:
            assert encoder_outputs is not None
            encoder_outputs["last_hidden_state"] = encoder_outputs.last_hidden_state.index_select(
                0, expanded_return_idx.to(encoder_outputs.last_hidden_state.device)
            )
            model_kwargs["encoder_outputs"] = encoder_outputs
        return input_ids, model_kwargs

    @staticmethod
    def _update_model_kwargs_for_generation(
        outputs: ModelOutput, model_kwargs: Dict[str, Any], is_encoder_decoder: bool = False
    ) -> Dict[str, Any]:
        # update past
        if "past_key_values" in outputs:
            model_kwargs["past"] = outputs.past_key_values
        elif "mems" in outputs:
            model_kwargs["past"] = outputs.mems
        elif "past_buckets_states" in outputs:
            model_kwargs["past"] = outputs.past_buckets_states
        else:
            model_kwargs["past"] = None

        # update token_type_ids with last value
        if "token_type_ids" in model_kwargs:
            token_type_ids = model_kwargs["token_type_ids"]
            model_kwargs["token_type_ids"] = torch.cat([token_type_ids, token_type_ids[:, -1].unsqueeze(-1)], dim=-1)

        # update attention mask
        if not is_encoder_decoder:
            if "attention_mask" in model_kwargs:
                attention_mask = model_kwargs["attention_mask"]
                model_kwargs["attention_mask"] = torch.cat(
                    [attention_mask, attention_mask.new_ones((attention_mask.shape[0], 1))], dim=-1
                )

        return model_kwargs

    def _reorder_cache(self, past, beam_idx):
        raise NotImplementedError(
            f"Make sure that a `_reorder_cache` function is correctly implemented in {self.__class__.__module__} to enable beam search for {self.__class__}"
        )

    def _get_logits_warper(
        self, top_k: int = None, top_p: float = None, temperature: float = None, num_beams: int = None
    ) -> LogitsProcessorList:
        """
        This class returns a :obj:`~transformers.LogitsProcessorList` list object that contains all relevant
        :obj:`~transformers.LogitsWarper` instances used for multinomial sampling.
        """

        # init warp parameters
        top_k = top_k if top_k is not None else self.config.top_k
        top_p = top_p if top_p is not None else self.config.top_p
        temperature = temperature if temperature is not None else self.config.temperature
        # instantiate warpers list
        warpers = LogitsProcessorList()

        # the following idea is largely copied from this PR: https://github.com/huggingface/transformers/pull/5420/files
        # all samplers can be found in `generation_utils_samplers.py`
        if temperature is not None and temperature != 1.0:
            warpers.append(TemperatureLogitsWarper(temperature))
        if top_k is not None and top_k != 0:
            warpers.append(TopKLogitsWarper(top_k=top_k, min_tokens_to_keep=(2 if num_beams > 1 else 1)))
        if top_p is not None and top_p < 1.0:
            warpers.append(TopPLogitsWarper(top_p=top_p, min_tokens_to_keep=(2 if num_beams > 1 else 1)))
        return warpers

    def _get_logits_processor(
        self,
        repetition_penalty: float,
        no_repeat_ngram_size: int,
        encoder_no_repeat_ngram_size: int,
        encoder_input_ids: torch.LongTensor,
        bad_words_ids: List[List[int]],
        min_length: int,
        max_length: int,
        eos_token_id: int,
        forced_bos_token_id: int,
        forced_eos_token_id: int,
        prefix_allowed_tokens_fn: Callable[[int, torch.Tensor], List[int]],
        num_beams: int,
        num_beam_groups: int,
        diversity_penalty: float,
        remove_invalid_values: bool,
    ) -> LogitsProcessorList:
        """
        This class returns a :obj:`~transformers.LogitsProcessorList` list object that contains all relevant
        :obj:`~transformers.LogitsProcessor` instances used to modify the scores of the language model head.
        """
        processors = LogitsProcessorList()

        # init warp parameters
        repetition_penalty = repetition_penalty if repetition_penalty is not None else self.config.repetition_penalty
        no_repeat_ngram_size = (
            no_repeat_ngram_size if no_repeat_ngram_size is not None else self.config.no_repeat_ngram_size
        )
        encoder_no_repeat_ngram_size = (
            encoder_no_repeat_ngram_size
            if encoder_no_repeat_ngram_size is not None
            else self.config.encoder_no_repeat_ngram_size
        )
        bad_words_ids = bad_words_ids if bad_words_ids is not None else self.config.bad_words_ids
        min_length = min_length if min_length is not None else self.config.min_length
        eos_token_id = eos_token_id if eos_token_id is not None else self.config.eos_token_id
        diversity_penalty = diversity_penalty if diversity_penalty is not None else self.config.diversity_penalty
        forced_bos_token_id = (
            forced_bos_token_id if forced_bos_token_id is not None else self.config.forced_bos_token_id
        )
        forced_eos_token_id = (
            forced_eos_token_id if forced_eos_token_id is not None else self.config.forced_eos_token_id
        )
        remove_invalid_values = (
            remove_invalid_values if remove_invalid_values is not None else self.config.remove_invalid_values
        )
        # instantiate processors list

        # the following idea is largely copied from this PR: https://github.com/huggingface/transformers/pull/5420/files
        # all samplers can be found in `generation_utils_samplers.py`
        if diversity_penalty is not None and diversity_penalty > 0.0:
            processors.append(
                HammingDiversityLogitsProcessor(
                    diversity_penalty=diversity_penalty, num_beams=num_beams, num_beam_groups=num_beam_groups
                )
            )
        if repetition_penalty is not None and repetition_penalty != 1.0:
            processors.append(RepetitionPenaltyLogitsProcessor(penalty=repetition_penalty))
        if no_repeat_ngram_size is not None and no_repeat_ngram_size > 0:
            processors.append(NoRepeatNGramLogitsProcessor(no_repeat_ngram_size))
        if encoder_no_repeat_ngram_size is not None and encoder_no_repeat_ngram_size > 0:
            if self.config.is_encoder_decoder:
                processors.append(EncoderNoRepeatNGramLogitsProcessor(encoder_no_repeat_ngram_size, encoder_input_ids))
            else:
                raise ValueError(
                    "It's impossible to use `encoder_no_repeat_ngram_size` with decoder-only architecture"
                )
        if bad_words_ids is not None:
            processors.append(NoBadWordsLogitsProcessor(bad_words_ids, eos_token_id))
        if min_length is not None and eos_token_id is not None and min_length > -1:
            processors.append(MinLengthLogitsProcessor(min_length, eos_token_id))
        if prefix_allowed_tokens_fn is not None:
            processors.append(PrefixConstrainedLogitsProcessor(prefix_allowed_tokens_fn, num_beams // num_beam_groups))
        if forced_bos_token_id is not None:
            processors.append(ForcedBOSTokenLogitsProcessor(forced_bos_token_id))
        if forced_eos_token_id is not None:
            processors.append(ForcedEOSTokenLogitsProcessor(max_length, forced_eos_token_id))
        if remove_invalid_values is True:
            processors.append(InfNanRemoveLogitsProcessor())
        return processors

    def _get_stopping_criteria(
        self, max_length: Optional[int], max_time: Optional[float], max_new_tokens: Optional[int], start_length: int
    ) -> StoppingCriteriaList:
        stopping_criteria = StoppingCriteriaList()
        if max_length is not None:
            stopping_criteria.append(MaxLengthCriteria(max_length=max_length))
        if max_time is not None:
            stopping_criteria.append(MaxTimeCriteria(max_time=max_time))
        if max_new_tokens is not None:
            stopping_criteria.append(MaxNewTokensCriteria(start_length=start_length, max_new_tokens=max_new_tokens))
        return stopping_criteria

    @torch.no_grad()
    def generate(
        self,
        input_ids: Optional[torch.LongTensor] = None,
        max_length: Optional[int] = None,
        min_length: Optional[int] = None,
        do_sample: Optional[bool] = None,
        early_stopping: Optional[bool] = None,
        num_beams: Optional[int] = None,
        temperature: Optional[float] = None,
        top_k: Optional[int] = None,
        top_p: Optional[float] = None,
        repetition_penalty: Optional[float] = None,
        bad_words_ids: Optional[Iterable[int]] = None,
        bos_token_id: Optional[int] = None,
        pad_token_id: Optional[int] = None,
        eos_token_id: Optional[int] = None,
        length_penalty: Optional[float] = None,
        no_repeat_ngram_size: Optional[int] = None,
        encoder_no_repeat_ngram_size: Optional[int] = None,
        num_return_sequences: Optional[int] = None,
        max_time: Optional[float] = None,
        max_new_tokens: Optional[int] = None,
        decoder_start_token_id: Optional[int] = None,
        use_cache: Optional[bool] = None,
        num_beam_groups: Optional[int] = None,
        diversity_penalty: Optional[float] = None,
        prefix_allowed_tokens_fn: Optional[Callable[[int, torch.Tensor], List[int]]] = None,
        output_attentions: Optional[bool] = None,
        output_hidden_states: Optional[bool] = None,
        output_scores: Optional[bool] = None,
        return_dict_in_generate: Optional[bool] = None,
        forced_bos_token_id: Optional[int] = None,
        forced_eos_token_id: Optional[int] = None,
        remove_invalid_values: Optional[bool] = None,
        synced_gpus: Optional[bool] = None,
        **model_kwargs,
    ) -> Union[GreedySearchOutput, SampleOutput, BeamSearchOutput, BeamSampleOutput, torch.LongTensor]:
        r"""
        Generates sequences for models with a language modeling head. The method currently supports greedy decoding,
        multinomial sampling, beam-search decoding, and beam-search multinomial sampling.

        Apart from :obj:`input_ids` and :obj:`attention_mask`, all the arguments below will default to the value of the
        attribute of the same name inside the :class:`~transformers.PretrainedConfig` of the model. The default values
        indicated are the default values of those config.

        Most of these parameters are explained in more detail in `this blog post
        <https://huggingface.co/blog/how-to-generate>`__.

        Parameters:

            input_ids (:obj:`torch.LongTensor` of shape :obj:`(batch_size, sequence_length)`, `optional`):
                The sequence used as a prompt for the generation. If :obj:`None` the method initializes it as an empty
                :obj:`torch.LongTensor` of shape :obj:`(1,)`.
            max_length (:obj:`int`, `optional`, defaults to :obj:`model.config.max_length`):
                The maximum length of the sequence to be generated.
            max_new_tokens (:obj:`int`, `optional`, defaults to None):
                The maximum numbers of tokens to generate, ignore the current number of tokens. Use either
                :obj:`max_new_tokens` or :obj:`max_length` but not both, they serve the same purpose.
            min_length (:obj:`int`, `optional`, defaults to 10):
                The minimum length of the sequence to be generated.
            do_sample (:obj:`bool`, `optional`, defaults to :obj:`False`):
                Whether or not to use sampling ; use greedy decoding otherwise.
            early_stopping (:obj:`bool`, `optional`, defaults to :obj:`False`):
                Whether to stop the beam search when at least ``num_beams`` sentences are finished per batch or not.
            num_beams (:obj:`int`, `optional`, defaults to 1):
                Number of beams for beam search. 1 means no beam search.
            temperature (:obj:`float`, `optional`, defaults to 1.0):
                The value used to module the next token probabilities.
            top_k (:obj:`int`, `optional`, defaults to 50):
                The number of highest probability vocabulary tokens to keep for top-k-filtering.
            top_p (:obj:`float`, `optional`, defaults to 1.0):
                If set to float < 1, only the most probable tokens with probabilities that add up to :obj:`top_p` or
                higher are kept for generation.
            repetition_penalty (:obj:`float`, `optional`, defaults to 1.0):
                The parameter for repetition penalty. 1.0 means no penalty. See `this paper
                <https://arxiv.org/pdf/1909.05858.pdf>`__ for more details.
            pad_token_id (:obj:`int`, `optional`):
                The id of the `padding` token.
            bos_token_id (:obj:`int`, `optional`):
                The id of the `beginning-of-sequence` token.
            eos_token_id (:obj:`int`, `optional`):
                The id of the `end-of-sequence` token.
            length_penalty (:obj:`float`, `optional`, defaults to 1.0):
                Exponential penalty to the length. 1.0 means no penalty. Set to values < 1.0 in order to encourage the
                model to generate shorter sequences, to a value > 1.0 in order to encourage the model to produce longer
                sequences.
            no_repeat_ngram_size (:obj:`int`, `optional`, defaults to 0):
                If set to int > 0, all ngrams of that size can only occur once.
            encoder_no_repeat_ngram_size (:obj:`int`, `optional`, defaults to 0):
                If set to int > 0, all ngrams of that size that occur in the ``encoder_input_ids`` cannot occur in the
                ``decoder_input_ids``.
            bad_words_ids(:obj:`List[List[int]]`, `optional`):
                List of token ids that are not allowed to be generated. In order to get the tokens of the words that
                should not appear in the generated text, use :obj:`tokenizer(bad_word,
                add_prefix_space=True).input_ids`.
            num_return_sequences(:obj:`int`, `optional`, defaults to 1):
                The number of independently computed returned sequences for each element in the batch.
            max_time(:obj:`float`, `optional`, defaults to None):
                The maximum amount of time you allow the computation to run for in seconds. generation will still
                finish the current pass after allocated time has been passed.
            attention_mask (:obj:`torch.LongTensor` of shape :obj:`(batch_size, sequence_length)`, `optional`):
                Mask to avoid performing attention on padding token indices. Mask values are in ``[0, 1]``, 1 for
                tokens that are not masked, and 0 for masked tokens. If not provided, will default to a tensor the same
                shape as :obj:`input_ids` that masks the pad token. `What are attention masks?
                <../glossary.html#attention-mask>`__
            decoder_start_token_id (:obj:`int`, `optional`):
                If an encoder-decoder model starts decoding with a different token than `bos`, the id of that token.
            use_cache: (:obj:`bool`, `optional`, defaults to :obj:`True`):
                Whether or not the model should use the past last key/values attentions (if applicable to the model) to
                speed up decoding.
            num_beam_groups (:obj:`int`, `optional`, defaults to 1):
                Number of groups to divide :obj:`num_beams` into in order to ensure diversity among different groups of
                beams. `this paper <https://arxiv.org/pdf/1610.02424.pdf>`__ for more details.
            diversity_penalty (:obj:`float`, `optional`, defaults to 0.0):
                This value is subtracted from a beam's score if it generates a token same as any beam from other group
                at a particular time. Note that :obj:`diversity_penalty` is only effective if ``group beam search`` is
                enabled.
            prefix_allowed_tokens_fn: (:obj:`Callable[[int, torch.Tensor], List[int]]`, `optional`):
                If provided, this function constraints the beam search to allowed tokens only at each step. If not
                provided no constraint is applied. This function takes 2 arguments: the batch ID :obj:`batch_id` and
                :obj:`input_ids`. It has to return a list with the allowed tokens for the next generation step
                conditioned on the batch ID :obj:`batch_id` and the previously generated tokens :obj:`inputs_ids`. This
                argument is useful for constrained generation conditioned on the prefix, as described in
                `Autoregressive Entity Retrieval <https://arxiv.org/abs/2010.00904>`__.
            output_attentions (:obj:`bool`, `optional`, defaults to `False`):
                Whether or not to return the attentions tensors of all attention layers. See ``attentions`` under
                returned tensors for more details.
            output_hidden_states (:obj:`bool`, `optional`, defaults to `False`):
                Whether or not to return the hidden states of all layers. See ``hidden_states`` under returned tensors
                for more details.
            output_scores (:obj:`bool`, `optional`, defaults to `False`):
                Whether or not to return the prediction scores. See ``scores`` under returned tensors for more details.
            return_dict_in_generate (:obj:`bool`, `optional`, defaults to `False`):
                Whether or not to return a :class:`~transformers.file_utils.ModelOutput` instead of a plain tuple.
            forced_bos_token_id (:obj:`int`, `optional`):
                The id of the token to force as the first generated token after the :obj:`decoder_start_token_id`.
                Useful for multilingual models like :doc:`mBART <../model_doc/mbart>` where the first generated token
                needs to be the target language token.
            forced_eos_token_id (:obj:`int`, `optional`):
                The id of the token to force as the last generated token when :obj:`max_length` is reached.
            remove_invalid_values (:obj:`bool`, `optional`):
                Whether to remove possible `nan` and `inf` outputs of the model to prevent the generation method to
                crash. Note that using ``remove_invalid_values`` can slow down generation.
            synced_gpus (:obj:`bool`, `optional`, defaults to :obj:`False`):
                Whether to continue running the while loop until max_length (needed for ZeRO stage 3)

            model_kwargs:
                Additional model specific kwargs will be forwarded to the :obj:`forward` function of the model. If the
                model is an encoder-decoder model, encoder specific kwargs should not be prefixed and decoder specific
                kwargs should be prefixed with `decoder_`.

        Return:
            :class:`~transformers.file_utils.ModelOutput` or :obj:`torch.LongTensor`: A
            :class:`~transformers.file_utils.ModelOutput` (if ``return_dict_in_generate=True`` or when
            ``config.return_dict_in_generate=True``) or a :obj:`torch.FloatTensor`.

                If the model is `not` an encoder-decoder model (``model.config.is_encoder_decoder=False``), the
                possible :class:`~transformers.file_utils.ModelOutput` types are:

                    - :class:`~transformers.generation_utils.GreedySearchDecoderOnlyOutput`,
                    - :class:`~transformers.generation_utils.SampleDecoderOnlyOutput`,
                    - :class:`~transformers.generation_utils.BeamSearchDecoderOnlyOutput`,
                    - :class:`~transformers.generation_utils.BeamSampleDecoderOnlyOutput`

                If the model is an encoder-decoder model (``model.config.is_encoder_decoder=True``), the possible
                :class:`~transformers.file_utils.ModelOutput` types are:

                    - :class:`~transformers.generation_utils.GreedySearchEncoderDecoderOutput`,
                    - :class:`~transformers.generation_utils.SampleEncoderDecoderOutput`,
                    - :class:`~transformers.generation_utils.BeamSearchEncoderDecoderOutput`,
                    - :class:`~transformers.generation_utils.BeamSampleEncoderDecoderOutput`

        Examples::
            >>> from transformers import AutoTokenizer, AutoModelForCausalLM, AutoModelForSeq2SeqLM

            >>> tokenizer = AutoTokenizer.from_pretrained("distilgpt2")
            >>> model = AutoModelForCausalLM.from_pretrained("distilgpt2")
            >>> # do greedy decoding without providing a prompt
            >>> outputs = model.generate(max_length=40)
            >>> print("Generated:", tokenizer.decode(outputs[0], skip_special_tokens=True))

            >>> tokenizer = AutoTokenizer.from_pretrained("t5-base")
            >>> model = AutoModelForSeq2SeqLM.from_pretrained("t5-base")
            >>> document = (
            ... "at least two people were killed in a suspected bomb attack on a passenger bus "
            ... "in the strife-torn southern philippines on monday , the military said."
            ... )
            >>> # encode input context
            >>> input_ids = tokenizer(document, return_tensors="pt").input_ids
            >>> # generate 3 independent sequences using beam search decoding (5 beams)
            >>> # with T5 encoder-decoder model conditioned on short news article.
            >>> outputs = model.generate(input_ids=input_ids, num_beams=5, num_return_sequences=3)
            >>> print("Generated:", tokenizer.batch_decode(outputs, skip_special_tokens=True))

            >>> tokenizer = AutoTokenizer.from_pretrained("distilgpt2")
            >>> model = AutoModelForCausalLM.from_pretrained("distilgpt2")
            >>> input_context = "The dog"
            >>> # encode input context
            >>> input_ids = tokenizer(input_context, return_tensors="pt").input_ids
            >>> # generate 3 candidates using sampling
            >>> outputs = model.generate(input_ids=input_ids, max_length=20, num_return_sequences=3, do_sample=True)
            >>> print("Generated:", tokenizer.batch_decode(outputs, skip_special_tokens=True))

            >>> tokenizer = AutoTokenizer.from_pretrained("ctrl")
            >>> model = AutoModelForCausalLM.from_pretrained("ctrl")
            >>> # "Legal" is one of the control codes for ctrl
            >>> input_context = "Legal My neighbor is"
            >>> # encode input context
            >>> input_ids = tokenizer(input_context, return_tensors="pt").input_ids
            >>> outputs = model.generate(input_ids=input_ids, max_length=20, repetition_penalty=1.2)
            >>> print("Generated:", tokenizer.decode(outputs[0], skip_special_tokens=True))

            >>> tokenizer = AutoTokenizer.from_pretrained("gpt2")
            >>> model = AutoModelForCausalLM.from_pretrained("gpt2")
            >>> input_context = "My cute dog"
            >>> # get tokens of words that should not be generated
            >>> bad_words_ids = [tokenizer(bad_word, add_prefix_space=True).input_ids for bad_word in ["idiot", "stupid", "shut up"]]
            >>> # encode input context
            >>> input_ids = tokenizer(input_context, return_tensors="pt").input_ids
            >>> # generate sequences without allowing bad_words to be generated
            >>> outputs = model.generate(input_ids=input_ids, max_length=20, do_sample=True, bad_words_ids=bad_words_ids)
            >>> print("Generated:", tokenizer.decode(outputs[0], skip_special_tokens=True))
        """

        # set init values
        if max_length is None and max_new_tokens is None:
            # Both are None, default
            max_length = self.config.max_length
        elif max_length is not None and max_new_tokens is not None:
            # Both are set, this is odd, raise a warning
            warnings.warn(
                "Both `max_length` and `max_new_tokens` have been set but they serve the same purpose.", UserWarning
            )

        max_length = max_length if max_length is not None else self.config.max_length
        num_beams = num_beams if num_beams is not None else self.config.num_beams
        num_beam_groups = num_beam_groups if num_beam_groups is not None else self.config.num_beam_groups
        do_sample = do_sample if do_sample is not None else self.config.do_sample
        num_return_sequences = (
            num_return_sequences if num_return_sequences is not None else self.config.num_return_sequences
        )

        pad_token_id = pad_token_id if pad_token_id is not None else self.config.pad_token_id
        bos_token_id = bos_token_id if bos_token_id is not None else self.config.bos_token_id
        eos_token_id = eos_token_id if eos_token_id is not None else self.config.eos_token_id

        output_scores = output_scores if output_scores is not None else self.config.output_scores
        output_attentions = output_attentions if output_attentions is not None else self.config.output_attentions
        output_hidden_states = (
            output_hidden_states if output_hidden_states is not None else self.config.output_hidden_states
        )
        return_dict_in_generate = (
            return_dict_in_generate if return_dict_in_generate is not None else self.config.return_dict_in_generate
        )

        model_kwargs["output_attentions"] = output_attentions
        model_kwargs["output_hidden_states"] = output_hidden_states

        if input_ids is None and "inputs_embeds" not in model_kwargs:
            # init `input_ids` with bos_token_id
            input_ids = self._prepare_input_ids_for_generation(bos_token_id, model_kwargs.get("encoder_outputs"))

        if model_kwargs.get("attention_mask", None) is None:
            # init `attention_mask` depending on `pad_token_id`
            model_kwargs["attention_mask"] = self._prepare_attention_mask_for_generation(
                input_ids, pad_token_id, eos_token_id
            )

        # special case if pad_token_id is not defined
        if pad_token_id is None and eos_token_id is not None:
            logger.warning(f"Setting `pad_token_id` to `eos_token_id`:{eos_token_id} for open-end generation.")
            pad_token_id = eos_token_id

        # Storing encoder_input_ids for logits_processor that could use them
        encoder_input_ids = input_ids if self.config.is_encoder_decoder else None

        if self.config.is_encoder_decoder:
            # add encoder_outputs to model_kwargs
            model_kwargs = self._prepare_encoder_decoder_kwargs_for_generation(input_ids, model_kwargs)

            # set input_ids as decoder_input_ids
            if "decoder_input_ids" in model_kwargs:
                input_ids = model_kwargs.pop("decoder_input_ids")
            else:
                input_ids = self._prepare_decoder_input_ids_for_generation(
                    input_ids, decoder_start_token_id=decoder_start_token_id, bos_token_id=bos_token_id
                )

            if "encoder_outputs" not in model_kwargs or not isinstance(model_kwargs["encoder_outputs"], ModelOutput):
                raise ValueError("Make sure that `model_kwargs` include `encoder_outputs` of type `ModelOutput`.")

        if input_ids.shape[-1] >= max_length:
            input_ids_string = "decoder_input_ids" if self.config.is_encoder_decoder else "input_ids"
            logger.warning(
                f"Input length of {input_ids_string} is {input_ids.shape[-1]}, but ``max_length`` is set to {max_length}."
                "This can lead to unexpected behavior. You should consider increasing ``config.max_length`` or ``max_length``."
            )

        # determine generation mode
        is_greedy_gen_mode = (num_beams == 1) and (num_beam_groups == 1) and do_sample is False
        is_sample_gen_mode = (num_beams == 1) and (num_beam_groups == 1) and do_sample is True
        is_beam_gen_mode = (num_beams > 1) and (num_beam_groups == 1) and do_sample is False
        is_beam_sample_gen_mode = (num_beams > 1) and (num_beam_groups == 1) and do_sample is True
        is_group_beam_gen_mode = (num_beams > 1) and (num_beam_groups > 1)
        if num_beam_groups > num_beams:
            raise ValueError("`num_beam_groups` has to be smaller or equal to `num_beams`")
        if is_group_beam_gen_mode and do_sample is True:
            raise ValueError(
                "Diverse beam search cannot be used in sampling mode. Make sure that `do_sample` is set to `False`."
            )

        # set model_kwargs
        model_kwargs["use_cache"] = use_cache

        # get distribution pre_processing samplers
        logits_processor = self._get_logits_processor(
            repetition_penalty=repetition_penalty,
            no_repeat_ngram_size=no_repeat_ngram_size,
            encoder_no_repeat_ngram_size=encoder_no_repeat_ngram_size,
            encoder_input_ids=encoder_input_ids,
            bad_words_ids=bad_words_ids,
            min_length=min_length,
            max_length=max_length,
            eos_token_id=eos_token_id,
            forced_bos_token_id=forced_bos_token_id,
            forced_eos_token_id=forced_eos_token_id,
            prefix_allowed_tokens_fn=prefix_allowed_tokens_fn,
            num_beams=num_beams,
            num_beam_groups=num_beam_groups,
            diversity_penalty=diversity_penalty,
            remove_invalid_values=remove_invalid_values,
        )

        cur_len = input_ids.shape[-1]
        stopping_criteria = self._get_stopping_criteria(
            max_length=max_length, max_time=max_time, max_new_tokens=max_new_tokens, start_length=cur_len
        )

        if is_greedy_gen_mode:
            if num_return_sequences > 1:
                raise ValueError(
                    f"num_return_sequences has to be 1, but is {num_return_sequences} when doing greedy search."
                )

            # greedy search
            return self.greedy_search(
                input_ids,
                logits_processor=logits_processor,
                stopping_criteria=stopping_criteria,
                pad_token_id=pad_token_id,
                eos_token_id=eos_token_id,
                output_scores=output_scores,
                return_dict_in_generate=return_dict_in_generate,
                synced_gpus=synced_gpus,
                **model_kwargs,
            )

        elif is_sample_gen_mode:
            # get probability distribution warper
            logits_warper = self._get_logits_warper(
                top_k=top_k, top_p=top_p, temperature=temperature, num_beams=num_beams
            )

            # expand input_ids with `num_return_sequences` additional sequences per batch
            input_ids, model_kwargs = self._expand_inputs_for_generation(
                input_ids,
                expand_size=num_return_sequences,
                is_encoder_decoder=self.config.is_encoder_decoder,
                **model_kwargs,
            )

            # sample
            return self.sample(
                input_ids,
                logits_processor=logits_processor,
                logits_warper=logits_warper,
                stopping_criteria=stopping_criteria,
                pad_token_id=pad_token_id,
                eos_token_id=eos_token_id,
                output_scores=output_scores,
                return_dict_in_generate=return_dict_in_generate,
                synced_gpus=synced_gpus,
                **model_kwargs,
            )

        elif is_beam_gen_mode:
            batch_size = input_ids.shape[0]

            length_penalty = length_penalty if length_penalty is not None else self.config.length_penalty
            early_stopping = early_stopping if early_stopping is not None else self.config.early_stopping

            if num_return_sequences > num_beams:
                raise ValueError("`num_return_sequences` has to be smaller or equal to `num_beams`.")

            if stopping_criteria.max_length is None:
                raise ValueError("`max_length` needs to be a stopping_criteria for now.")

            beam_scorer = BeamSearchScorer(
                batch_size=batch_size,
                num_beams=num_beams,
                device=self.device,
                length_penalty=length_penalty,
                do_early_stopping=early_stopping,
                num_beam_hyps_to_keep=num_return_sequences,
            )
            # interleave with `num_beams`
            input_ids, model_kwargs = self._expand_inputs_for_generation(
                input_ids, expand_size=num_beams, is_encoder_decoder=self.config.is_encoder_decoder, **model_kwargs
            )
            return self.beam_search(
                input_ids,
                beam_scorer,
                logits_processor=logits_processor,
                stopping_criteria=stopping_criteria,
                pad_token_id=pad_token_id,
                eos_token_id=eos_token_id,
                output_scores=output_scores,
                return_dict_in_generate=return_dict_in_generate,
                synced_gpus=synced_gpus,
                **model_kwargs,
            )

        elif is_beam_sample_gen_mode:
            logits_warper = self._get_logits_warper(
                top_k=top_k, top_p=top_p, temperature=temperature, num_beams=num_beams
            )

            batch_size = input_ids.shape[0] * num_return_sequences

            length_penalty = length_penalty if length_penalty is not None else self.config.length_penalty
            if stopping_criteria.max_length is None:
                raise ValueError("`max_length` needs to be a stopping_criteria for now.")
            beam_scorer = BeamSearchScorer(
                batch_size=batch_size,
                num_beams=num_beams,
                device=self.device,
                length_penalty=length_penalty,
                do_early_stopping=early_stopping,
            )

            # interleave with `num_beams * num_return_sequences`
            input_ids, model_kwargs = self._expand_inputs_for_generation(
                input_ids,
                expand_size=num_beams * num_return_sequences,
                is_encoder_decoder=self.config.is_encoder_decoder,
                **model_kwargs,
            )

            return self.beam_sample(
                input_ids,
                beam_scorer,
                logits_processor=logits_processor,
                logits_warper=logits_warper,
                stopping_criteria=stopping_criteria,
                pad_token_id=pad_token_id,
                eos_token_id=eos_token_id,
                output_scores=output_scores,
                return_dict_in_generate=return_dict_in_generate,
                synced_gpus=synced_gpus,
                **model_kwargs,
            )

        elif is_group_beam_gen_mode:
            batch_size = input_ids.shape[0]

            length_penalty = length_penalty if length_penalty is not None else self.config.length_penalty
            early_stopping = early_stopping if early_stopping is not None else self.config.early_stopping

            if num_return_sequences > num_beams:
                raise ValueError("`num_return_sequences` has to be smaller or equal to `num_beams`.")

            if num_beams % num_beam_groups != 0:
                raise ValueError("`num_beams` should be divisible by `num_beam_groups` for group beam search.")

            if stopping_criteria.max_length is None:
                raise ValueError("`max_length` needs to be a stopping_criteria for now.")

            diverse_beam_scorer = BeamSearchScorer(
                batch_size=batch_size,
                num_beams=num_beams,
                max_length=stopping_criteria.max_length,
                device=self.device,
                length_penalty=length_penalty,
                do_early_stopping=early_stopping,
                num_beam_hyps_to_keep=num_return_sequences,
                num_beam_groups=num_beam_groups,
            )
            # interleave with `num_beams`
            input_ids, model_kwargs = self._expand_inputs_for_generation(
                input_ids, expand_size=num_beams, is_encoder_decoder=self.config.is_encoder_decoder, **model_kwargs
            )
            return self.group_beam_search(
                input_ids,
                diverse_beam_scorer,
                logits_processor=logits_processor,
                stopping_criteria=stopping_criteria,
                pad_token_id=pad_token_id,
                eos_token_id=eos_token_id,
                output_scores=output_scores,
                return_dict_in_generate=return_dict_in_generate,
                synced_gpus=synced_gpus,
                **model_kwargs,
            )

    def greedy_search(
        self,
        input_ids: torch.LongTensor,
        logits_processor: Optional[LogitsProcessorList] = None,
        stopping_criteria: Optional[StoppingCriteriaList] = None,
        max_length: Optional[int] = None,
        pad_token_id: Optional[int] = None,
        eos_token_id: Optional[int] = None,
        output_attentions: Optional[bool] = None,
        output_hidden_states: Optional[bool] = None,
        output_scores: Optional[bool] = None,
        return_dict_in_generate: Optional[bool] = None,
        synced_gpus: Optional[bool] = None,
        **model_kwargs,
    ) -> Union[GreedySearchOutput, torch.LongTensor]:
        r"""
        Generates sequences for models with a language modeling head using greedy decoding.

        Parameters:

            input_ids (:obj:`torch.LongTensor` of shape :obj:`(batch_size, sequence_length)`, `optional`):
                The sequence used as a prompt for the generation. If :obj:`None` the method initializes it as an empty
                :obj:`torch.LongTensor` of shape :obj:`(1,)`.
            logits_processor (:obj:`LogitsProcessorList`, `optional`):
                An instance of :class:`~transformers.LogitsProcessorList`. List of instances of class derived from
                :class:`~transformers.LogitsProcessor` used to modify the prediction scores of the language modeling
                head applied at each generation step.
            stopping_criteria (:obj:`StoppingCriteriaList`, `optional`):
                An instance of :class:`~transformers.StoppingCriteriaList`. List of instances of class derived from
                :class:`~transformers.StoppingCriteria` used to tell if the generation loop should stop.

            max_length (:obj:`int`, `optional`, defaults to 20):
                **DEPRECATED**. Use :obj:`logits_processor` or :obj:`stopping_criteria` directly to cap the number of
                generated tokens. The maximum length of the sequence to be generated.
            pad_token_id (:obj:`int`, `optional`):
                The id of the `padding` token.
            eos_token_id (:obj:`int`, `optional`):
                The id of the `end-of-sequence` token.
            output_attentions (:obj:`bool`, `optional`, defaults to `False`):
                Whether or not to return the attentions tensors of all attention layers. See ``attentions`` under
                returned tensors for more details.
            output_hidden_states (:obj:`bool`, `optional`, defaults to `False`):
                Whether or not to return the hidden states of all layers. See ``hidden_states`` under returned tensors
                for more details.
            output_scores (:obj:`bool`, `optional`, defaults to `False`):
                Whether or not to return the prediction scores. See ``scores`` under returned tensors for more details.
            return_dict_in_generate (:obj:`bool`, `optional`, defaults to `False`):
                Whether or not to return a :class:`~transformers.file_utils.ModelOutput` instead of a plain tuple.
            synced_gpus (:obj:`bool`, `optional`, defaults to :obj:`False`):
                Whether to continue running the while loop until max_length (needed for ZeRO stage 3)
            model_kwargs:
                Additional model specific keyword arguments will be forwarded to the :obj:`forward` function of the
                model. If model is an encoder-decoder model the kwargs should include :obj:`encoder_outputs`.

        Return:
            :class:`~transformers.generation_utils.GreedySearchDecoderOnlyOutput`,
            :class:`~transformers.generation_utils.GreedySearchEncoderDecoderOutput` or obj:`torch.LongTensor`: A
            :obj:`torch.LongTensor` containing the generated tokens (default behaviour) or a
            :class:`~transformers.generation_utils.GreedySearchDecoderOnlyOutput` if
            ``model.config.is_encoder_decoder=False`` and ``return_dict_in_generate=True`` or a
            :class:`~transformers.generation_utils.GreedySearchEncoderDecoderOutput` if
            ``model.config.is_encoder_decoder=True``.

        Examples::

            >>> from transformers import (
            ... AutoTokenizer,
            ... AutoModelForCausalLM,
            ... LogitsProcessorList,
            ... MinLengthLogitsProcessor,
            ... )

            >>> tokenizer = AutoTokenizer.from_pretrained("gpt2")
            >>> model = AutoModelForCausalLM.from_pretrained("gpt2")

            >>> # set pad_token_id to eos_token_id because GPT2 does not have a EOS token
            >>> model.config.pad_token_id = model.config.eos_token_id

            >>> input_prompt = "Today is a beautiful day, and"
            >>> input_ids = tokenizer(input_prompt, return_tensors="pt").input_ids

            >>> # instantiate logits processors
            >>> logits_processor = LogitsProcessorList([
            ...     MinLengthLogitsProcessor(15, eos_token_id=model.config.eos_token_id),
            ... ])

            >>> outputs = model.greedy_search(input_ids, logits_processor=logits_processor)

            >>> print("Generated:", tokenizer.batch_decode(outputs, skip_special_tokens=True))
        """
        # init values
        logits_processor = logits_processor if logits_processor is not None else LogitsProcessorList()
        stopping_criteria = stopping_criteria if stopping_criteria is not None else StoppingCriteriaList()
        if max_length is not None:
            warnings.warn(
                "`max_length` is deprecated in this function, use `stopping_criteria=StoppingCriteriaList(MaxLengthCriteria(max_length=max_length))` instead.",
                UserWarning,
            )
            stopping_criteria = validate_stopping_criteria(stopping_criteria, max_length)
        pad_token_id = pad_token_id if pad_token_id is not None else self.config.pad_token_id
        eos_token_id = eos_token_id if eos_token_id is not None else self.config.eos_token_id
        output_scores = output_scores if output_scores is not None else self.config.output_scores
        output_attentions = output_attentions if output_attentions is not None else self.config.output_attentions
        output_hidden_states = (
            output_hidden_states if output_hidden_states is not None else self.config.output_hidden_states
        )
        return_dict_in_generate = (
            return_dict_in_generate if return_dict_in_generate is not None else self.config.return_dict_in_generate
        )

        # init attention / hidden states / scores tuples
        scores = () if (return_dict_in_generate and output_scores) else None
        decoder_attentions = () if (return_dict_in_generate and output_attentions) else None
        cross_attentions = () if (return_dict_in_generate and output_attentions) else None
        decoder_hidden_states = () if (return_dict_in_generate and output_hidden_states) else None

        # if model is an encoder-decoder, retrieve encoder attention weights and hidden states
        if return_dict_in_generate and self.config.is_encoder_decoder:
            encoder_attentions = model_kwargs["encoder_outputs"].get("attentions") if output_attentions else None
            encoder_hidden_states = (
                model_kwargs["encoder_outputs"].get("hidden_states") if output_hidden_states else None
            )

        # keep track of which sequences are already finished
        unfinished_sequences = input_ids.new(input_ids.shape[0]).fill_(1)
        cur_len = input_ids.shape[-1]

        this_peer_finished = False  # used by synced_gpus only
        while True:

            if synced_gpus:
                # Under synced_gpus the `forward` call must continue until all gpus complete their sequence.
                # The following logic allows an early break if all peers finished generating their sequence
                this_peer_finished_flag = torch.tensor(0.0 if this_peer_finished else 1.0).to(input_ids.device)
                # send 0.0 if we finished, 1.0 otherwise
                dist.all_reduce(this_peer_finished_flag, op=dist.ReduceOp.SUM)
                # did all peers finish? the reduced sum will be 0.0 then
                if this_peer_finished_flag.item() == 0.0:
                    break

            # prepare model inputs
            model_inputs = self.prepare_inputs_for_generation(input_ids, **model_kwargs)

            # forward pass to get next token
            outputs = self(
                **model_inputs,
                return_dict=True,
                output_attentions=output_attentions,
                output_hidden_states=output_hidden_states,
            )

            if synced_gpus and this_peer_finished:
                cur_len = cur_len + 1
                continue  # don't waste resources running the code we don't need

            next_token_logits = outputs.logits[:, -1, :]

            # Store scores, attentions and hidden_states when required
            if return_dict_in_generate:
                if output_scores:
                    scores += (next_token_logits,)
                if output_attentions:
                    decoder_attentions += (
                        (outputs.decoder_attentions,) if self.config.is_encoder_decoder else (outputs.attentions,)
                    )
                    if self.config.is_encoder_decoder:
                        cross_attentions += (outputs.cross_attentions,)

                if output_hidden_states:
                    decoder_hidden_states += (
                        (outputs.decoder_hidden_states,)
                        if self.config.is_encoder_decoder
                        else (outputs.hidden_states,)
                    )

            # pre-process distribution
            next_tokens_scores = logits_processor(input_ids, next_token_logits)

            # argmax
            next_tokens = torch.argmax(next_tokens_scores, dim=-1)

            # finished sentences should have their next token be a padding token
            if eos_token_id is not None:
                assert pad_token_id is not None, "If eos_token_id is defined, make sure that pad_token_id is defined."
                next_tokens = next_tokens * unfinished_sequences + pad_token_id * (1 - unfinished_sequences)

            # update generated ids, model inputs, and length for next step
            input_ids = torch.cat([input_ids, next_tokens[:, None]], dim=-1)
            model_kwargs = self._update_model_kwargs_for_generation(
                outputs, model_kwargs, is_encoder_decoder=self.config.is_encoder_decoder
            )
            cur_len = cur_len + 1

            # if eos_token was found in one sentence, set sentence to finished
            if eos_token_id is not None:
                unfinished_sequences = unfinished_sequences.mul((next_tokens != eos_token_id).long())

            # stop when each sentence is finished, or if we exceed the maximum length
            if unfinished_sequences.max() == 0 or stopping_criteria(input_ids, scores):
                if not synced_gpus:
                    break
                else:
                    this_peer_finished = True

        if return_dict_in_generate:
            if self.config.is_encoder_decoder:
                return GreedySearchEncoderDecoderOutput(
                    sequences=input_ids,
                    scores=scores,
                    encoder_attentions=encoder_attentions,
                    encoder_hidden_states=encoder_hidden_states,
                    decoder_attentions=decoder_attentions,
                    cross_attentions=cross_attentions,
                    decoder_hidden_states=decoder_hidden_states,
                )
            else:
                return GreedySearchDecoderOnlyOutput(
                    sequences=input_ids,
                    scores=scores,
                    attentions=decoder_attentions,
                    hidden_states=decoder_hidden_states,
                )
        else:
            return input_ids

    def sample(
        self,
        input_ids: torch.LongTensor,
        logits_processor: Optional[LogitsProcessorList] = None,
        stopping_criteria: Optional[StoppingCriteriaList] = None,
        logits_warper: Optional[LogitsProcessorList] = None,
        max_length: Optional[int] = None,
        pad_token_id: Optional[int] = None,
        eos_token_id: Optional[int] = None,
        output_attentions: Optional[bool] = None,
        output_hidden_states: Optional[bool] = None,
        output_scores: Optional[bool] = None,
        return_dict_in_generate: Optional[bool] = None,
        synced_gpus: Optional[bool] = None,
        **model_kwargs,
    ) -> Union[SampleOutput, torch.LongTensor]:
        r"""
        Generates sequences for models with a language modeling head using multinomial sampling.

        Parameters:

            input_ids (:obj:`torch.LongTensor` of shape :obj:`(batch_size, sequence_length)`, `optional`):
                The sequence used as a prompt for the generation. If :obj:`None` the method initializes it as an empty
                :obj:`torch.LongTensor` of shape :obj:`(1,)`.
            logits_processor (:obj:`LogitsProcessorList`, `optional`):
                An instance of :class:`~transformers.LogitsProcessorList`. List of instances of class derived from
                :class:`~transformers.LogitsProcessor` used to modify the prediction scores of the language modeling
                head applied at each generation step.
            stopping_criteria (:obj:`StoppingCriteriaList`, `optional`):
                An instance of :class:`~transformers.StoppingCriteriaList`. List of instances of class derived from
                :class:`~transformers.StoppingCriteria` used to tell if the generation loop should stop.
            logits_warper (:obj:`LogitsProcessorList`, `optional`):
                An instance of :class:`~transformers.LogitsProcessorList`. List of instances of class derived from
                :class:`~transformers.LogitsWarper` used to warp the prediction score distribution of the language
                modeling head applied before multinomial sampling at each generation step.
            max_length (:obj:`int`, `optional`, defaults to 20):
                **DEPRECATED**. Use :obj:`logits_processor` or :obj:`stopping_criteria` directly to cap the number of
                generated tokens. The maximum length of the sequence to be generated.
            pad_token_id (:obj:`int`, `optional`):
                The id of the `padding` token.
            eos_token_id (:obj:`int`, `optional`):
                The id of the `end-of-sequence` token.
            output_attentions (:obj:`bool`, `optional`, defaults to `False`):
                Whether or not to return the attentions tensors of all attention layers. See ``attentions`` under
                returned tensors for more details.
            output_hidden_states (:obj:`bool`, `optional`, defaults to `False`):
                Whether or not to return the hidden states of all layers. See ``hidden_states`` under returned tensors
                for more details.
            output_scores (:obj:`bool`, `optional`, defaults to `False`):
                Whether or not to return the prediction scores. See ``scores`` under returned tensors for more details.
            return_dict_in_generate (:obj:`bool`, `optional`, defaults to `False`):
                Whether or not to return a :class:`~transformers.file_utils.ModelOutput` instead of a plain tuple.
            synced_gpus (:obj:`bool`, `optional`, defaults to :obj:`False`):
                Whether to continue running the while loop until max_length (needed for ZeRO stage 3)
            model_kwargs:
                Additional model specific kwargs will be forwarded to the :obj:`forward` function of the model. If
                model is an encoder-decoder model the kwargs should include :obj:`encoder_outputs`.

        Return:
            :class:`~transformers.generation_utils.SampleDecoderOnlyOutput`,
            :class:`~transformers.generation_utils.SampleEncoderDecoderOutput` or obj:`torch.LongTensor`: A
            :obj:`torch.LongTensor` containing the generated tokens (default behaviour) or a
            :class:`~transformers.generation_utils.SampleDecoderOnlyOutput` if
            ``model.config.is_encoder_decoder=False`` and ``return_dict_in_generate=True`` or a
            :class:`~transformers.generation_utils.SampleEncoderDecoderOutput` if
            ``model.config.is_encoder_decoder=True``.

        Examples::

            >>> from transformers import (
            ...    AutoTokenizer,
            ...    AutoModelForCausalLM,
            ...    LogitsProcessorList,
            ...    MinLengthLogitsProcessor,
            ...    TopKLogitsWarper,
            ...    TemperatureLogitsWarper,
            ... )

            >>> tokenizer = AutoTokenizer.from_pretrained("gpt2")
            >>> model = AutoModelForCausalLM.from_pretrained("gpt2")

            >>> # set pad_token_id to eos_token_id because GPT2 does not have a EOS token
            >>> model.config.pad_token_id = model.config.eos_token_id

            >>> input_prompt = "Today is a beautiful day, and"
            >>> input_ids = tokenizer(input_prompt, return_tensors="pt").input_ids

            >>> # instantiate logits processors
            >>> logits_processor = LogitsProcessorList([
            ...     MinLengthLogitsProcessor(15, eos_token_id=model.config.eos_token_id),
            ... ])
            >>> # instantiate logits processors
            >>> logits_warper = LogitsProcessorList([
            ...     TopKLogitsWarper(50),
            ...     TemperatureLogitsWarper(0.7),
            ... ])

            >>> outputs = model.sample(input_ids, logits_processor=logits_processor, logits_warper=logits_warper)

            >>> print("Generated:", tokenizer.batch_decode(outputs, skip_special_tokens=True))
        """

        # init values
        logits_processor = logits_processor if logits_processor is not None else LogitsProcessorList()
        stopping_criteria = stopping_criteria if stopping_criteria is not None else StoppingCriteriaList()
        if max_length is not None:
            warnings.warn(
                "`max_length` is deprecated in this function, use `stopping_criteria=StoppingCriteriaList(MaxLengthCriteria(max_length=max_length))` instead.",
                UserWarning,
            )
            stopping_criteria = validate_stopping_criteria(stopping_criteria, max_length)
        logits_warper = logits_warper if logits_warper is not None else LogitsProcessorList()
        pad_token_id = pad_token_id if pad_token_id is not None else self.config.pad_token_id
        eos_token_id = eos_token_id if eos_token_id is not None else self.config.eos_token_id
        output_scores = output_scores if output_scores is not None else self.config.output_scores
        output_attentions = output_attentions if output_attentions is not None else self.config.output_attentions
        output_hidden_states = (
            output_hidden_states if output_hidden_states is not None else self.config.output_hidden_states
        )
        return_dict_in_generate = (
            return_dict_in_generate if return_dict_in_generate is not None else self.config.return_dict_in_generate
        )

        # init attention / hidden states / scores tuples
        scores = () if (return_dict_in_generate and output_scores) else None
        decoder_attentions = () if (return_dict_in_generate and output_attentions) else None
        cross_attentions = () if (return_dict_in_generate and output_attentions) else None
        decoder_hidden_states = () if (return_dict_in_generate and output_hidden_states) else None

        # if model is an encoder-decoder, retrieve encoder attention weights and hidden states
        if return_dict_in_generate and self.config.is_encoder_decoder:
            encoder_attentions = model_kwargs["encoder_outputs"].get("attentions") if output_attentions else None
            encoder_hidden_states = (
                model_kwargs["encoder_outputs"].get("hidden_states") if output_hidden_states else None
            )

        # keep track of which sequences are already finished
        unfinished_sequences = input_ids.new(input_ids.shape[0]).fill_(1)
        cur_len = input_ids.shape[-1]

        this_peer_finished = False  # used by synced_gpus only
        # auto-regressive generation
        while True:

            if synced_gpus:
                # Under synced_gpus the `forward` call must continue until all gpus complete their sequence.
                # The following logic allows an early break if all peers finished generating their sequence
                this_peer_finished_flag = torch.tensor(0.0 if this_peer_finished else 1.0).to(input_ids.device)
                # send 0.0 if we finished, 1.0 otherwise
                dist.all_reduce(this_peer_finished_flag, op=dist.ReduceOp.SUM)
                # did all peers finish? the reduced sum will be 0.0 then
                if this_peer_finished_flag.item() == 0.0:
                    break

            # prepare model inputs
            model_inputs = self.prepare_inputs_for_generation(input_ids, **model_kwargs)

            # forward pass to get next token
            outputs = self(
                **model_inputs,
                return_dict=True,
                output_attentions=output_attentions,
                output_hidden_states=output_hidden_states,
            )

            if synced_gpus and this_peer_finished:
                cur_len = cur_len + 1
                continue  # don't waste resources running the code we don't need

            next_token_logits = outputs.logits[:, -1, :]

            # pre-process distribution
            next_token_scores = logits_processor(input_ids, next_token_logits)
            next_token_scores = logits_warper(input_ids, next_token_scores)

            # Store scores, attentions and hidden_states when required
            if return_dict_in_generate:
                if output_scores:
                    scores += (next_token_scores,)
                if output_attentions:
                    decoder_attentions += (
                        (outputs.decoder_attentions,) if self.config.is_encoder_decoder else (outputs.attentions,)
                    )
                    if self.config.is_encoder_decoder:
                        cross_attentions += (outputs.cross_attentions,)

                if output_hidden_states:
                    decoder_hidden_states += (
                        (outputs.decoder_hidden_states,)
                        if self.config.is_encoder_decoder
                        else (outputs.hidden_states,)
                    )

            # sample
            probs = nn.functional.softmax(next_token_scores, dim=-1)
            next_tokens = torch.multinomial(probs, num_samples=1).squeeze(1)

            # finished sentences should have their next token be a padding token
            if eos_token_id is not None:
                assert pad_token_id is not None, "If eos_token_id is defined, make sure that pad_token_id is defined."
                next_tokens = next_tokens * unfinished_sequences + pad_token_id * (1 - unfinished_sequences)

            # update generated ids, model inputs, and length for next step
            input_ids = torch.cat([input_ids, next_tokens[:, None]], dim=-1)
            model_kwargs = self._update_model_kwargs_for_generation(
                outputs, model_kwargs, is_encoder_decoder=self.config.is_encoder_decoder
            )
            cur_len = cur_len + 1

            # if eos_token was found in one sentence, set sentence to finished
            if eos_token_id is not None:
                unfinished_sequences = unfinished_sequences.mul((next_tokens != eos_token_id).long())

            # stop when each sentence is finished, or if we exceed the maximum length
            if unfinished_sequences.max() == 0 or stopping_criteria(input_ids, scores):
                if not synced_gpus:
                    break
                else:
                    this_peer_finished = True

        if return_dict_in_generate:
            if self.config.is_encoder_decoder:
                return SampleEncoderDecoderOutput(
                    sequences=input_ids,
                    scores=scores,
                    encoder_attentions=encoder_attentions,
                    encoder_hidden_states=encoder_hidden_states,
                    decoder_attentions=decoder_attentions,
                    cross_attentions=cross_attentions,
                    decoder_hidden_states=decoder_hidden_states,
                )
            else:
                return SampleDecoderOnlyOutput(
                    sequences=input_ids,
                    scores=scores,
                    attentions=decoder_attentions,
                    hidden_states=decoder_hidden_states,
                )
        else:
            return input_ids

    def beam_search(
        self,
        input_ids: torch.LongTensor,
        beam_scorer: BeamScorer,
        logits_processor: Optional[LogitsProcessorList] = None,
        stopping_criteria: Optional[StoppingCriteriaList] = None,
        max_length: Optional[int] = None,
        pad_token_id: Optional[int] = None,
        eos_token_id: Optional[int] = None,
        output_attentions: Optional[bool] = None,
        output_hidden_states: Optional[bool] = None,
        output_scores: Optional[bool] = None,
        return_dict_in_generate: Optional[bool] = None,
        synced_gpus: Optional[bool] = None,
        **model_kwargs,
    ) -> Union[BeamSearchOutput, torch.LongTensor]:
        r"""
        Generates sequences for models with a language modeling head using beam search decoding.

        Parameters:

            input_ids (:obj:`torch.LongTensor` of shape :obj:`(batch_size, sequence_length)`, `optional`):
                The sequence used as a prompt for the generation. If :obj:`None` the method initializes it as an empty
                :obj:`torch.LongTensor` of shape :obj:`(1,)`.
            beam_scorer (:obj:`BeamScorer`):
                An derived instance of :class:`~transformers.BeamScorer` that defines how beam hypotheses are
                constructed, stored and sorted during generation. For more information, the documentation of
                :class:`~transformers.BeamScorer` should be read.
            logits_processor (:obj:`LogitsProcessorList`, `optional`):
                An instance of :class:`~transformers.LogitsProcessorList`. List of instances of class derived from
                :class:`~transformers.LogitsProcessor` used to modify the prediction scores of the language modeling
                head applied at each generation step.
            stopping_criteria (:obj:`StoppingCriteriaList`, `optional`):
                An instance of :class:`~transformers.StoppingCriteriaList`. List of instances of class derived from
                :class:`~transformers.StoppingCriteria` used to tell if the generation loop should stop.
            max_length (:obj:`int`, `optional`, defaults to 20):
                **DEPRECATED**. Use :obj:`logits_processor` or :obj:`stopping_criteria` directly to cap the number of
                generated tokens. The maximum length of the sequence to be generated.
            pad_token_id (:obj:`int`, `optional`):
                The id of the `padding` token.
            eos_token_id (:obj:`int`, `optional`):
                The id of the `end-of-sequence` token.
            output_attentions (:obj:`bool`, `optional`, defaults to `False`):
                Whether or not to return the attentions tensors of all attention layers. See ``attentions`` under
                returned tensors for more details.
            output_hidden_states (:obj:`bool`, `optional`, defaults to `False`):
                Whether or not to return the hidden states of all layers. See ``hidden_states`` under returned tensors
                for more details.
            output_scores (:obj:`bool`, `optional`, defaults to `False`):
                Whether or not to return the prediction scores. See ``scores`` under returned tensors for more details.
            return_dict_in_generate (:obj:`bool`, `optional`, defaults to `False`):
                Whether or not to return a :class:`~transformers.file_utils.ModelOutput` instead of a plain tuple.
            synced_gpus (:obj:`bool`, `optional`, defaults to :obj:`False`):
                Whether to continue running the while loop until max_length (needed for ZeRO stage 3)
            model_kwargs:
                Additional model specific kwargs will be forwarded to the :obj:`forward` function of the model. If
                model is an encoder-decoder model the kwargs should include :obj:`encoder_outputs`.

        Return:
            :class:`~transformers.generation_utilsBeamSearchDecoderOnlyOutput`,
            :class:`~transformers.generation_utils.BeamSearchEncoderDecoderOutput` or obj:`torch.LongTensor`: A
            :obj:`torch.LongTensor` containing the generated tokens (default behaviour) or a
            :class:`~transformers.generation_utils.BeamSearchDecoderOnlyOutput` if
            ``model.config.is_encoder_decoder=False`` and ``return_dict_in_generate=True`` or a
            :class:`~transformers.generation_utils.BeamSearchEncoderDecoderOutput` if
            ``model.config.is_encoder_decoder=True``.


        Examples::

            >>> from transformers import (
            ...    AutoTokenizer,
            ...    AutoModelForSeq2SeqLM,
            ...    LogitsProcessorList,
            ...    MinLengthLogitsProcessor,
            ...    BeamSearchScorer,
            ... )
            >>> import torch

            >>> tokenizer = AutoTokenizer.from_pretrained("t5-base")
            >>> model = AutoModelForSeq2SeqLM.from_pretrained("t5-base")

            >>> encoder_input_str = "translate English to German: How old are you?"
            >>> encoder_input_ids = tokenizer(encoder_input_str, return_tensors="pt").input_ids


            >>> # lets run beam search using 3 beams
            >>> num_beams = 3
            >>> # define decoder start token ids
            >>> input_ids = torch.ones((num_beams, 1), device=model.device, dtype=torch.long)
            >>> input_ids = input_ids * model.config.decoder_start_token_id

            >>> # add encoder_outputs to model keyword arguments
            >>> model_kwargs = {
            ...     "encoder_outputs": model.get_encoder()(encoder_input_ids.repeat_interleave(num_beams, dim=0), return_dict=True)
            ... }

            >>> # instantiate beam scorer
            >>> beam_scorer = BeamSearchScorer(
            ...     batch_size=1,
            ...     num_beams=num_beams,
            ...     device=model.device,
            ... )

            >>> # instantiate logits processors
            >>> logits_processor = LogitsProcessorList([
            ...     MinLengthLogitsProcessor(5, eos_token_id=model.config.eos_token_id),
            ... ])

            >>> outputs = model.beam_search(input_ids, beam_scorer, logits_processor=logits_processor, **model_kwargs)

            >>> print("Generated:", tokenizer.batch_decode(outputs, skip_special_tokens=True))
        """
        # init values
        logits_processor = logits_processor if logits_processor is not None else LogitsProcessorList()
        stopping_criteria = stopping_criteria if stopping_criteria is not None else StoppingCriteriaList()
        if max_length is not None:
            warnings.warn(
                "`max_length` is deprecated in this function, use `stopping_criteria=StoppingCriteriaList(MaxLengthCriteria(max_length=max_length))` instead.",
                UserWarning,
            )
            stopping_criteria = validate_stopping_criteria(stopping_criteria, max_length)
        if len(stopping_criteria) == 0:
            warnings.warn("You don't have defined any stopping_criteria, this will likely loop forever", UserWarning)
        pad_token_id = pad_token_id if pad_token_id is not None else self.config.pad_token_id
        eos_token_id = eos_token_id if eos_token_id is not None else self.config.eos_token_id
        output_scores = output_scores if output_scores is not None else self.config.output_scores
        output_attentions = output_attentions if output_attentions is not None else self.config.output_attentions
        output_hidden_states = (
            output_hidden_states if output_hidden_states is not None else self.config.output_hidden_states
        )
        return_dict_in_generate = (
            return_dict_in_generate if return_dict_in_generate is not None else self.config.return_dict_in_generate
        )

        # init attention / hidden states / scores tuples
        scores = () if (return_dict_in_generate and output_scores) else None
        decoder_attentions = () if (return_dict_in_generate and output_attentions) else None
        cross_attentions = () if (return_dict_in_generate and output_attentions) else None
        decoder_hidden_states = () if (return_dict_in_generate and output_hidden_states) else None

        # if model is an encoder-decoder, retrieve encoder attention weights and hidden states
        if return_dict_in_generate and self.config.is_encoder_decoder:
            encoder_attentions = model_kwargs["encoder_outputs"].get("attentions") if output_attentions else None
            encoder_hidden_states = (
                model_kwargs["encoder_outputs"].get("hidden_states") if output_hidden_states else None
            )

        batch_size = len(beam_scorer._beam_hyps)
        num_beams = beam_scorer.num_beams

        batch_beam_size, cur_len = input_ids.shape

        assert (
            num_beams * batch_size == batch_beam_size
        ), f"Batch dimension of `input_ids` should be {num_beams * batch_size}, but is {batch_beam_size}."

        beam_scores = torch.zeros((batch_size, num_beams), dtype=torch.float, device=input_ids.device)
        beam_scores[:, 1:] = -1e9
        beam_scores = beam_scores.view((batch_size * num_beams,))

        this_peer_finished = False  # used by synced_gpus only
        while True:

            if synced_gpus:
                # Under synced_gpus the `forward` call must continue until all gpus complete their sequence.
                # The following logic allows an early break if all peers finished generating their sequence
                this_peer_finished_flag = torch.tensor(0.0 if this_peer_finished else 1.0).to(input_ids.device)
                # send 0.0 if we finished, 1.0 otherwise
                dist.all_reduce(this_peer_finished_flag, op=dist.ReduceOp.SUM)
                # did all peers finish? the reduced sum will be 0.0 then
                if this_peer_finished_flag.item() == 0.0:
                    break

            model_inputs = self.prepare_inputs_for_generation(input_ids, **model_kwargs)

            outputs = self(
                **model_inputs,
                return_dict=True,
                output_attentions=output_attentions,
                output_hidden_states=output_hidden_states,
            )

            if synced_gpus and this_peer_finished:
                cur_len = cur_len + 1
                continue  # don't waste resources running the code we don't need

            next_token_logits = outputs.logits[:, -1, :]
            # hack: adjust tokens for Marian. For Marian we have to make sure that the `pad_token_id`
            # cannot be generated both before and after the `nn.functional.log_softmax` operation.
            next_token_logits = self.adjust_logits_during_generation(next_token_logits, cur_len=cur_len)
            next_token_scores = nn.functional.log_softmax(
                next_token_logits, dim=-1
            )  # (batch_size * num_beams, vocab_size)

            next_token_scores = logits_processor(input_ids, next_token_scores)
            next_token_scores = next_token_scores + beam_scores[:, None].expand_as(next_token_scores)

            # Store scores, attentions and hidden_states when required
            if return_dict_in_generate:
                if output_scores:
                    scores += (next_token_scores,)
                if output_attentions:
                    decoder_attentions += (
                        (outputs.decoder_attentions,) if self.config.is_encoder_decoder else (outputs.attentions,)
                    )
                    if self.config.is_encoder_decoder:
                        cross_attentions += (outputs.cross_attentions,)

                if output_hidden_states:
                    decoder_hidden_states += (
                        (outputs.decoder_hidden_states,)
                        if self.config.is_encoder_decoder
                        else (outputs.hidden_states,)
                    )

            # reshape for beam search
            vocab_size = next_token_scores.shape[-1]
            next_token_scores = next_token_scores.view(batch_size, num_beams * vocab_size)

            next_token_scores, next_tokens = torch.topk(
                next_token_scores, 2 * num_beams, dim=1, largest=True, sorted=True
            )

            next_indices = next_tokens // vocab_size
            next_tokens = next_tokens % vocab_size

            # stateless
            beam_outputs = beam_scorer.process(
                input_ids,
                next_token_scores,
                next_tokens,
                next_indices,
                pad_token_id=pad_token_id,
                eos_token_id=eos_token_id,
            )
            beam_scores = beam_outputs["next_beam_scores"]
            beam_next_tokens = beam_outputs["next_beam_tokens"]
            beam_idx = beam_outputs["next_beam_indices"]

            input_ids = torch.cat([input_ids[beam_idx, :], beam_next_tokens.unsqueeze(-1)], dim=-1)

            model_kwargs = self._update_model_kwargs_for_generation(
                outputs, model_kwargs, is_encoder_decoder=self.config.is_encoder_decoder
            )
            if model_kwargs["past"] is not None:
                model_kwargs["past"] = self._reorder_cache(model_kwargs["past"], beam_idx)

            # increase cur_len
            cur_len = cur_len + 1

            if beam_scorer.is_done or stopping_criteria(input_ids, scores):
                if not synced_gpus:
                    break
                else:
                    this_peer_finished = True

        sequence_outputs = beam_scorer.finalize(
            input_ids,
            beam_scores,
            next_tokens,
            next_indices,
            pad_token_id=pad_token_id,
            eos_token_id=eos_token_id,
            max_length=stopping_criteria.max_length,
        )

        if return_dict_in_generate:
            if not output_scores:
                sequence_outputs["sequence_scores"] = None
            if self.config.is_encoder_decoder:
                return BeamSearchEncoderDecoderOutput(
                    sequences=sequence_outputs["sequences"],
                    sequences_scores=sequence_outputs["sequence_scores"],
                    scores=scores,
                    encoder_attentions=encoder_attentions,
                    encoder_hidden_states=encoder_hidden_states,
                    decoder_attentions=decoder_attentions,
                    cross_attentions=cross_attentions,
                    decoder_hidden_states=decoder_hidden_states,
                )
            else:
                return BeamSearchDecoderOnlyOutput(
                    sequences=sequence_outputs["sequences"],
                    sequences_scores=sequence_outputs["sequence_scores"],
                    scores=scores,
                    attentions=decoder_attentions,
                    hidden_states=decoder_hidden_states,
                )
        else:
            return sequence_outputs["sequences"]

    def beam_sample(
        self,
        input_ids: torch.LongTensor,
        beam_scorer: BeamScorer,
        logits_processor: Optional[LogitsProcessorList] = None,
        stopping_criteria: Optional[StoppingCriteriaList] = None,
        logits_warper: Optional[LogitsProcessorList] = None,
        max_length: Optional[int] = None,
        pad_token_id: Optional[int] = None,
        eos_token_id: Optional[int] = None,
        output_attentions: Optional[bool] = None,
        output_hidden_states: Optional[bool] = None,
        output_scores: Optional[bool] = None,
        return_dict_in_generate: Optional[bool] = None,
        synced_gpus: Optional[bool] = None,
        **model_kwargs,
    ) -> Union[BeamSampleOutput, torch.LongTensor]:
        r"""
        Generates sequences for models with a language modeling head using beam search with multinomial sampling.

        Parameters:

            input_ids (:obj:`torch.LongTensor` of shape :obj:`(batch_size, sequence_length)`, `optional`):
                The sequence used as a prompt for the generation. If :obj:`None` the method initializes it as an empty
                :obj:`torch.LongTensor` of shape :obj:`(1,)`.
            beam_scorer (:obj:`BeamScorer`):
                A derived instance of :class:`~transformers.BeamScorer` that defines how beam hypotheses are
                constructed, stored and sorted during generation. For more information, the documentation of
                :class:`~transformers.BeamScorer` should be read.
            logits_processor (:obj:`LogitsProcessorList`, `optional`):
                An instance of :class:`~transformers.LogitsProcessorList`. List of instances of class derived from
                :class:`~transformers.LogitsProcessor` used to modify the prediction scores of the language modeling
                head applied at each generation step.
            stopping_criteria (:obj:`StoppingCriteriaList`, `optional`):
                An instance of :class:`~transformers.StoppingCriteriaList`. List of instances of class derived from
                :class:`~transformers.StoppingCriteria` used to tell if the generation loop should stop.
            logits_warper (:obj:`LogitsProcessorList`, `optional`):
                An instance of :class:`~transformers.LogitsProcessorList`. List of instances of class derived from
                :class:`~transformers.LogitsWarper` used to warp the prediction score distribution of the language
                modeling head applied before multinomial sampling at each generation step.
            max_length (:obj:`int`, `optional`, defaults to 20):
                **DEPRECATED**. Use :obj:`logits_processor` or :obj:`stopping_criteria` directly to cap the number of
                generated tokens. The maximum length of the sequence to be generated.
            pad_token_id (:obj:`int`, `optional`):
                The id of the `padding` token.
            eos_token_id (:obj:`int`, `optional`):
                The id of the `end-of-sequence` token.
            output_attentions (:obj:`bool`, `optional`, defaults to `False`):
                Whether or not to return the attentions tensors of all attention layers. See ``attentions`` under
                returned tensors for more details.
            output_hidden_states (:obj:`bool`, `optional`, defaults to `False`):
                Whether or not to return the hidden states of all layers. See ``hidden_states`` under returned tensors
                for more details.
            output_scores (:obj:`bool`, `optional`, defaults to `False`):
                Whether or not to return the prediction scores. See ``scores`` under returned tensors for more details.
            return_dict_in_generate (:obj:`bool`, `optional`, defaults to `False`):
                Whether or not to return a :class:`~transformers.file_utils.ModelOutput` instead of a plain tuple.
            synced_gpus (:obj:`bool`, `optional`, defaults to :obj:`False`):
                Whether to continue running the while loop until max_length (needed for ZeRO stage 3)
            model_kwargs:
                Additional model specific kwargs will be forwarded to the :obj:`forward` function of the model. If
                model is an encoder-decoder model the kwargs should include :obj:`encoder_outputs`.

        Return:
            :class:`~transformers.generation_utils.BeamSampleDecoderOnlyOutput`,
            :class:`~transformers.generation_utils.BeamSampleEncoderDecoderOutput` or obj:`torch.LongTensor`: A
            :obj:`torch.LongTensor` containing the generated tokens (default behaviour) or a
            :class:`~transformers.generation_utils.BeamSampleDecoderOnlyOutput` if
            ``model.config.is_encoder_decoder=False`` and ``return_dict_in_generate=True`` or a
            :class:`~transformers.generation_utils.BeamSampleEncoderDecoderOutput` if
            ``model.config.is_encoder_decoder=True``.

        Examples::

            >>> from transformers import (
            ...     AutoTokenizer,
            ...     AutoModelForSeq2SeqLM,
            ...     LogitsProcessorList,
            ...     MinLengthLogitsProcessor,
            ...     TopKLogitsWarper,
            ...     TemperatureLogitsWarper,
            ...     BeamSearchScorer,
            ... )
            >>> import torch

            >>> tokenizer = AutoTokenizer.from_pretrained("t5-base")
            >>> model = AutoModelForSeq2SeqLM.from_pretrained("t5-base")

            >>> encoder_input_str = "translate English to German: How old are you?"
            >>> encoder_input_ids = tokenizer(encoder_input_str, return_tensors="pt").input_ids

            >>> # lets run beam search using 3 beams
            >>> num_beams = 3
            >>> # define decoder start token ids
            >>> input_ids = torch.ones((num_beams, 1), device=model.device, dtype=torch.long)
            >>> input_ids = input_ids * model.config.decoder_start_token_id

            >>> # add encoder_outputs to model keyword arguments
            >>> model_kwargs = {
            ...     "encoder_outputs": model.get_encoder()(encoder_input_ids.repeat_interleave(num_beams, dim=0), return_dict=True)
            ... }

            >>> # instantiate beam scorer
            >>> beam_scorer = BeamSearchScorer(
            ...     batch_size=1,
            ...     max_length=model.config.max_length,
            ...     num_beams=num_beams,
            ...     device=model.device,
            ... )

            >>> # instantiate logits processors
            >>> logits_processor = LogitsProcessorList([
            ...     MinLengthLogitsProcessor(5, eos_token_id=model.config.eos_token_id)
            ... ])
            >>> # instantiate logits processors
            >>> logits_warper = LogitsProcessorList([
            ...     TopKLogitsWarper(50),
            ...     TemperatureLogitsWarper(0.7),
            ... ])

            >>> outputs = model.beam_sample(
            ...     input_ids, beam_scorer, logits_processor=logits_processor, logits_warper=logits_warper, **model_kwargs
            ... )

            >>> print("Generated:", tokenizer.batch_decode(outputs, skip_special_tokens=True))
        """
        # init values
        logits_processor = logits_processor if logits_processor is not None else LogitsProcessorList()
        stopping_criteria = stopping_criteria if stopping_criteria is not None else StoppingCriteriaList()
        if max_length is not None:
            warnings.warn(
                "`max_length` is deprecated in this function, use `stopping_criteria=StoppingCriteriaList(MaxLengthCriteria(max_length=max_length))` instead.",
                UserWarning,
            )
            stopping_criteria = validate_stopping_criteria(stopping_criteria, max_length)
        pad_token_id = pad_token_id if pad_token_id is not None else self.config.pad_token_id
        eos_token_id = eos_token_id if eos_token_id is not None else self.config.eos_token_id
        output_scores = output_scores if output_scores is not None else self.config.output_scores
        output_attentions = output_attentions if output_attentions is not None else self.config.output_attentions
        output_hidden_states = (
            output_hidden_states if output_hidden_states is not None else self.config.output_hidden_states
        )
        return_dict_in_generate = (
            return_dict_in_generate if return_dict_in_generate is not None else self.config.return_dict_in_generate
        )

        # init attention / hidden states / scores tuples
        scores = () if (return_dict_in_generate and output_scores) else None
        decoder_attentions = () if (return_dict_in_generate and output_attentions) else None
        cross_attentions = () if (return_dict_in_generate and output_attentions) else None
        decoder_hidden_states = () if (return_dict_in_generate and output_hidden_states) else None

        # if model is an encoder-decoder, retrieve encoder attention weights and hidden states
        if return_dict_in_generate and self.config.is_encoder_decoder:
            encoder_attentions = model_kwargs["encoder_outputs"].get("attentions") if output_attentions else None
            encoder_hidden_states = (
                model_kwargs["encoder_outputs"].get("hidden_states") if output_hidden_states else None
            )

        batch_size = len(beam_scorer._beam_hyps)
        num_beams = beam_scorer.num_beams

        batch_beam_size, cur_len = input_ids.shape

        beam_scores = torch.zeros((batch_size, num_beams), dtype=torch.float, device=input_ids.device)
        beam_scores = beam_scores.view((batch_size * num_beams,))

        this_peer_finished = False  # used by synced_gpus only
        while True:

            if synced_gpus:
                # Under synced_gpus the `forward` call must continue until all gpus complete their sequence.
                # The following logic allows an early break if all peers finished generating their sequence
                this_peer_finished_flag = torch.tensor(0.0 if this_peer_finished else 1.0).to(input_ids.device)
                # send 0.0 if we finished, 1.0 otherwise
                dist.all_reduce(this_peer_finished_flag, op=dist.ReduceOp.SUM)
                # did all peers finish? the reduced sum will be 0.0 then
                if this_peer_finished_flag.item() == 0.0:
                    break

            model_inputs = self.prepare_inputs_for_generation(input_ids, **model_kwargs)

            outputs = self(
                **model_inputs,
                return_dict=True,
                output_attentions=output_attentions,
                output_hidden_states=output_hidden_states,
            )

            if synced_gpus and this_peer_finished:
                cur_len = cur_len + 1
                continue  # don't waste resources running the code we don't need

            next_token_logits = outputs.logits[:, -1, :]

            # hack: adjust tokens for Marian. For Marian we have to make sure that the `pad_token_id`
            # cannot be generated both before and after the `nn.functional.log_softmax` operation.
            next_token_logits = self.adjust_logits_during_generation(next_token_logits, cur_len=cur_len)
            next_token_scores = nn.functional.log_softmax(
                next_token_logits, dim=-1
            )  # (batch_size * num_beams, vocab_size)

            next_token_scores = logits_processor(input_ids, next_token_scores)
            next_token_scores = next_token_scores + beam_scores[:, None].expand_as(next_token_scores)
            next_token_scores = logits_warper(input_ids, next_token_scores)

            # Store scores, attentions and hidden_states when required
            if return_dict_in_generate:
                if output_scores:
                    scores += (next_token_scores,)
                if output_attentions:
                    decoder_attentions += (
                        (outputs.decoder_attentions,) if self.config.is_encoder_decoder else (outputs.attentions,)
                    )
                    if self.config.is_encoder_decoder:
                        cross_attentions += (outputs.cross_attentions,)

                if output_hidden_states:
                    decoder_hidden_states += (
                        (outputs.decoder_hidden_states,)
                        if self.config.is_encoder_decoder
                        else (outputs.hidden_states,)
                    )

            # reshape for beam search
            vocab_size = next_token_scores.shape[-1]
            next_token_scores = next_token_scores.view(batch_size, num_beams * vocab_size)

            probs = nn.functional.softmax(next_token_scores, dim=-1)

            next_tokens = torch.multinomial(probs, num_samples=2 * num_beams)
            next_token_scores = torch.gather(next_token_scores, -1, next_tokens)

            next_token_scores, _indices = torch.sort(next_token_scores, descending=True, dim=1)
            next_tokens = torch.gather(next_tokens, -1, _indices)

            next_indices = next_tokens // vocab_size
            next_tokens = next_tokens % vocab_size

            # stateless
            beam_outputs = beam_scorer.process(
                input_ids,
                next_token_scores,
                next_tokens,
                next_indices,
                pad_token_id=pad_token_id,
                eos_token_id=eos_token_id,
            )
            beam_scores = beam_outputs["next_beam_scores"]
            beam_next_tokens = beam_outputs["next_beam_tokens"]
            beam_idx = beam_outputs["next_beam_indices"]

            input_ids = torch.cat([input_ids[beam_idx, :], beam_next_tokens.unsqueeze(-1)], dim=-1)

            model_kwargs = self._update_model_kwargs_for_generation(
                outputs, model_kwargs, is_encoder_decoder=self.config.is_encoder_decoder
            )
            if model_kwargs["past"] is not None:
                model_kwargs["past"] = self._reorder_cache(model_kwargs["past"], beam_idx)

            # increase cur_len
            cur_len = cur_len + 1

            if beam_scorer.is_done or stopping_criteria(input_ids, scores):
                if not synced_gpus:
                    break
                else:
                    this_peer_finished = True

        sequence_outputs = beam_scorer.finalize(
            input_ids,
            beam_scores,
            next_tokens,
            next_indices,
            pad_token_id=pad_token_id,
            eos_token_id=eos_token_id,
            max_length=stopping_criteria.max_length,
        )

        if return_dict_in_generate:
            if not output_scores:
                sequence_outputs["sequence_scores"] = None
            if self.config.is_encoder_decoder:
                return BeamSampleEncoderDecoderOutput(
                    sequences=sequence_outputs["sequences"],
                    sequences_scores=sequence_outputs["sequence_scores"],
                    scores=scores,
                    encoder_attentions=encoder_attentions,
                    encoder_hidden_states=encoder_hidden_states,
                    decoder_attentions=decoder_attentions,
                    cross_attentions=cross_attentions,
                    decoder_hidden_states=decoder_hidden_states,
                )
            else:
                return BeamSampleDecoderOnlyOutput(
                    sequences=sequence_outputs["sequences"],
                    sequences_scores=sequence_outputs["sequence_scores"],
                    scores=scores,
                    attentions=decoder_attentions,
                    hidden_states=decoder_hidden_states,
                )
        else:
            return sequence_outputs["sequences"]

    def group_beam_search(
        self,
        input_ids: torch.LongTensor,
        beam_scorer: BeamScorer,
        logits_processor: Optional[LogitsProcessorList] = None,
        stopping_criteria: Optional[StoppingCriteriaList] = None,
        max_length: Optional[int] = None,
        pad_token_id: Optional[int] = None,
        eos_token_id: Optional[int] = None,
        output_attentions: Optional[bool] = None,
        output_hidden_states: Optional[bool] = None,
        output_scores: Optional[bool] = None,
        return_dict_in_generate: Optional[bool] = None,
        synced_gpus: Optional[bool] = None,
        **model_kwargs,
    ):
        r"""
        Generates sequences for models with a language modeling head using beam search decoding.

        Parameters:

            input_ids (:obj:`torch.LongTensor` of shape :obj:`(batch_size, sequence_length)`, `optional`):
                The sequence used as a prompt for the generation. If :obj:`None` the method initializes it as an empty
                :obj:`torch.LongTensor` of shape :obj:`(1,)`.
            beam_scorer (:obj:`BeamScorer`):
                An derived instance of :class:`~transformers.BeamScorer` that defines how beam hypotheses are
                constructed, stored and sorted during generation. For more information, the documentation of
                :class:`~transformers.BeamScorer` should be read.
            logits_processor (:obj:`LogitsProcessorList`, `optional`):
                An instance of :class:`~transformers.LogitsProcessorList`. List of instances of class derived from
                :class:`~transformers.LogitsProcessor` used to modify the prediction scores of the language modeling
                head applied at each generation step.
            stopping_criteria (:obj:`StoppingCriteriaList`, `optional`):
                An instance of :class:`~transformers.StoppingCriteriaList`. List of instances of class derived from
                :class:`~transformers.StoppingCriteria` used to tell if the generation loop should stop.
            max_length (:obj:`int`, `optional`, defaults to 20):
                **DEPRECATED**. Use :obj:`logits_processor` or :obj:`stopping_criteria` directly to cap the number of
                generated tokens. The maximum length of the sequence to be generated.
            pad_token_id (:obj:`int`, `optional`):
                The id of the `padding` token.
            eos_token_id (:obj:`int`, `optional`):
                The id of the `end-of-sequence` token.
            output_attentions (:obj:`bool`, `optional`, defaults to `False`):
                Whether or not to return the attentions tensors of all attention layers. See ``attentions`` under
                returned tensors for more details.
            output_hidden_states (:obj:`bool`, `optional`, defaults to `False`):
                Whether or not to return the hidden states of all layers. See ``hidden_states`` under returned tensors
                for more details.
            output_scores (:obj:`bool`, `optional`, defaults to `False`):
                Whether or not to return the prediction scores. See ``scores`` under returned tensors for more details.
            return_dict_in_generate (:obj:`bool`, `optional`, defaults to `False`):
                Whether or not to return a :class:`~transformers.file_utils.ModelOutput` instead of a plain tuple.
            synced_gpus (:obj:`bool`, `optional`, defaults to :obj:`False`):
                Whether to continue running the while loop until max_length (needed for ZeRO stage 3)

            model_kwargs:
                Additional model specific kwargs that will be forwarded to the :obj:`forward` function of the model. If
                model is an encoder-decoder model the kwargs should include :obj:`encoder_outputs`.

        Return:
            :class:`~transformers.generation_utils.BeamSearchDecoderOnlyOutput`,
            :class:`~transformers.generation_utils.BeamSearchEncoderDecoderOutput` or obj:`torch.LongTensor`: A
            :obj:`torch.LongTensor` containing the generated tokens (default behaviour) or a
            :class:`~transformers.generation_utils.BeamSearchDecoderOnlyOutput` if
            :class:`~transformers.generation_utils.BeamSearchDecoderOnlyOutput` if
            ``model.config.is_encoder_decoder=False`` and ``return_dict_in_generate=True`` or a
            :class:`~transformers.generation_utils.BeamSearchEncoderDecoderOutput` if
            ``model.config.is_encoder_decoder=True``.

        Examples::

            >>> from transformers import (
            ...    AutoTokenizer,
            ...    AutoModelForSeq2SeqLM,
            ...    LogitsProcessorList,
            ...    MinLengthLogitsProcessor,
            ...    HammingDiversityLogitsProcessor,
            ...    BeamSearchScorer,
            ... )
            >>> import torch

            >>> tokenizer = AutoTokenizer.from_pretrained("t5-base")
            >>> model = AutoModelForSeq2SeqLM.from_pretrained("t5-base")

            >>> encoder_input_str = "translate English to German: How old are you?"
            >>> encoder_input_ids = tokenizer(encoder_input_str, return_tensors="pt").input_ids


            >>> # lets run diverse beam search using 6 beams
            >>> num_beams = 6
            >>> # define decoder start token ids
            >>> input_ids = torch.ones((num_beams, 1), device=model.device, dtype=torch.long)
            >>> input_ids = input_ids * model.config.decoder_start_token_id

            >>> # add encoder_outputs to model keyword arguments
            >>> model_kwargs = {
            ...     "encoder_outputs": model.get_encoder()(encoder_input_ids.repeat_interleave(num_beams, dim=0), return_dict=True)
            ... }

            >>> # instantiate beam scorer
            >>> beam_scorer = BeamSearchScorer(
            ...     batch_size=1,
            ...     max_length=model.config.max_length,
            ...     num_beams=num_beams,
            ...     device=model.device,
            ...     num_beam_groups=3
            ... )

            >>> # instantiate logits processors
            >>> logits_processor = LogitsProcessorList([
            ...     HammingDiversityLogitsProcessor(5.5, num_beams=6, num_beam_groups=3),
            ...     MinLengthLogitsProcessor(5, eos_token_id=model.config.eos_token_id),
            ... ])

            >>> outputs = model.group_beam_search(input_ids, beam_scorer, logits_processor=logits_processor, **model_kwargs)

            >>> print("Generated:", tokenizer.batch_decode(outputs, skip_special_tokens=True))
        """
        # init values
        logits_processor = logits_processor if logits_processor is not None else LogitsProcessorList()
        stopping_criteria = stopping_criteria if stopping_criteria is not None else StoppingCriteriaList()
        if max_length is not None:
            warnings.warn(
                "`max_length` is deprecated in this function, use `stopping_criteria=StoppingCriteriaList(MaxLengthCriteria(max_length=max_length))` instead.",
                UserWarning,
            )
            stopping_criteria = validate_stopping_criteria(stopping_criteria, max_length)
        pad_token_id = pad_token_id if pad_token_id is not None else self.config.pad_token_id
        eos_token_id = eos_token_id if eos_token_id is not None else self.config.eos_token_id
        output_scores = output_scores if output_scores is not None else self.config.output_scores
        output_attentions = output_attentions if output_attentions is not None else self.config.output_attentions
        output_hidden_states = (
            output_hidden_states if output_hidden_states is not None else self.config.output_hidden_states
        )
        return_dict_in_generate = (
            return_dict_in_generate if return_dict_in_generate is not None else self.config.return_dict_in_generate
        )

        # init attention / hidden states / scores tuples
        scores = () if (return_dict_in_generate and output_scores) else None
        decoder_attentions = () if (return_dict_in_generate and output_attentions) else None
        cross_attentions = () if (return_dict_in_generate and output_attentions) else None
        decoder_hidden_states = () if (return_dict_in_generate and output_hidden_states) else None

        # if model is an encoder-decoder, retrieve encoder attention weights and hidden states
        if return_dict_in_generate and self.config.is_encoder_decoder:
            encoder_attentions = model_kwargs["encoder_outputs"].get("attentions") if output_attentions else None
            encoder_hidden_states = (
                model_kwargs["encoder_outputs"].get("hidden_states") if output_hidden_states else None
            )

        batch_size = len(beam_scorer._beam_hyps)
        num_beams = beam_scorer.num_beams
        num_beam_groups = beam_scorer.num_beam_groups
        num_sub_beams = num_beams // num_beam_groups
        device = input_ids.device

        batch_beam_size, cur_len = input_ids.shape

        assert (
            num_beams * batch_size == batch_beam_size
        ), f"Batch dimension of `input_ids` should be {num_beams * batch_size}, but is {batch_beam_size}."

        beam_scores = torch.full((batch_size, num_beams), -1e9, dtype=torch.float, device=device)
        # initialise score of first beam of each group with 0 and the rest with 1e-9. This ensures that the beams in
        # the same group don't produce same tokens everytime.
        beam_scores[:, ::num_sub_beams] = 0
        beam_scores = beam_scores.view((batch_size * num_beams,))

        this_peer_finished = False  # used by synced_gpus only
        while True:

            if synced_gpus:
                # Under synced_gpus the `forward` call must continue until all gpus complete their sequence.
                # The following logic allows an early break if all peers finished generating their sequence
                this_peer_finished_flag = torch.tensor(0.0 if this_peer_finished else 1.0).to(input_ids.device)
                # send 0.0 if we finished, 1.0 otherwise
                dist.all_reduce(this_peer_finished_flag, op=dist.ReduceOp.SUM)
                # did all peers finish? the reduced sum will be 0.0 then
                if this_peer_finished_flag.item() == 0.0:
                    break

            # predicted tokens in cur_len step
            current_tokens = torch.zeros(batch_size * num_beams, dtype=input_ids.dtype, device=device)

            # indices which will form the beams in the next time step
            reordering_indices = torch.zeros(batch_size * num_beams, dtype=torch.long, device=device)

            # do one decoder step on all beams of all sentences in batch
            model_inputs = self.prepare_inputs_for_generation(input_ids, **model_kwargs)
            outputs = self(
                **model_inputs,
                return_dict=True,
                output_attentions=output_attentions,
                output_hidden_states=output_hidden_states,
            )

            if synced_gpus and this_peer_finished:
                cur_len = cur_len + 1
                continue  # don't waste resources running the code we don't need

            for beam_group_idx in range(num_beam_groups):
                group_start_idx = beam_group_idx * num_sub_beams
                group_end_idx = min(group_start_idx + num_sub_beams, num_beams)
                group_size = group_end_idx - group_start_idx

                # indices of beams of current group among all sentences in batch
                batch_group_indices = []

                if output_scores:
                    processed_score = torch.zeros_like(outputs.logits[:, -1, :])

                for batch_idx in range(batch_size):
                    batch_group_indices.extend(
                        [batch_idx * num_beams + idx for idx in range(group_start_idx, group_end_idx)]
                    )
                group_input_ids = input_ids[batch_group_indices]

                # select outputs of beams of current group only
                next_token_logits = outputs.logits[batch_group_indices, -1, :]

                # hack: adjust tokens for Marian. For Marian we have to make sure that the `pad_token_id`
                # cannot be generated both before and after the `nn.functional.log_softmax` operation.
                next_token_logits = self.adjust_logits_during_generation(next_token_logits, cur_len=cur_len)
                next_token_scores = nn.functional.log_softmax(
                    next_token_logits, dim=-1
                )  # (batch_size * group_size, vocab_size)
                vocab_size = next_token_scores.shape[-1]

                next_token_scores = logits_processor(
                    group_input_ids, next_token_scores, current_tokens=current_tokens, beam_group_idx=beam_group_idx
                )
                next_token_scores = next_token_scores + beam_scores[batch_group_indices].unsqueeze(-1).expand_as(
                    next_token_scores
                )

                if output_scores:
                    processed_score[batch_group_indices] = next_token_scores

                # reshape for beam search
                next_token_scores = next_token_scores.view(batch_size, group_size * vocab_size)

                next_token_scores, next_tokens = torch.topk(
                    next_token_scores, 2 * group_size, dim=1, largest=True, sorted=True
                )

                next_indices = next_tokens // vocab_size
                next_tokens = next_tokens % vocab_size

                # stateless
                beam_outputs = beam_scorer.process(
                    group_input_ids,
                    next_token_scores,
                    next_tokens,
                    next_indices,
                    pad_token_id=pad_token_id,
                    eos_token_id=eos_token_id,
                )
                beam_scores[batch_group_indices] = beam_outputs["next_beam_scores"]
                beam_next_tokens = beam_outputs["next_beam_tokens"]
                beam_idx = beam_outputs["next_beam_indices"]

                input_ids[batch_group_indices] = group_input_ids[beam_idx]
                group_input_ids = torch.cat([group_input_ids[beam_idx, :], beam_next_tokens.unsqueeze(-1)], dim=-1)
                current_tokens[batch_group_indices] = group_input_ids[:, -1]

                # (beam_idx // group_size) -> batch_idx
                # (beam_idx % group_size) -> offset of idx inside the group
                reordering_indices[batch_group_indices] = (
                    num_beams * (beam_idx // group_size) + group_start_idx + (beam_idx % group_size)
                )

            # Store scores, attentions and hidden_states when required
            if return_dict_in_generate:
                if output_scores:
                    scores += (processed_score,)
                if output_attentions:
                    decoder_attentions += (
                        (outputs.decoder_attentions,) if self.config.is_encoder_decoder else (outputs.attentions,)
                    )
                    if self.config.is_encoder_decoder:
                        cross_attentions += (outputs.cross_attentions,)

                if output_hidden_states:
                    decoder_hidden_states += (
                        (outputs.decoder_hidden_states,)
                        if self.config.is_encoder_decoder
                        else (outputs.hidden_states,)
                    )

            input_ids = torch.cat([input_ids, current_tokens.unsqueeze(-1)], dim=-1)

            model_kwargs = self._update_model_kwargs_for_generation(
                outputs, model_kwargs, is_encoder_decoder=self.config.is_encoder_decoder
            )
            if model_kwargs["past"] is not None:
                model_kwargs["past"] = self._reorder_cache(model_kwargs["past"], reordering_indices)

            # increase cur_len
            cur_len = cur_len + 1

            if beam_scorer.is_done or stopping_criteria(input_ids, scores):
                if not synced_gpus:
                    break
                else:
                    this_peer_finished = True

        sequence_outputs = beam_scorer.finalize(
            input_ids,
            beam_scores,
            next_tokens,
            next_indices,
            pad_token_id=pad_token_id,
            eos_token_id=eos_token_id,
            max_length=stopping_criteria.max_length,
        )

        if return_dict_in_generate:
            if not output_scores:
                sequence_outputs["sequence_scores"] = None
            if self.config.is_encoder_decoder:
                return BeamSearchEncoderDecoderOutput(
                    sequences=sequence_outputs["sequences"],
                    sequences_scores=sequence_outputs["sequence_scores"],
                    scores=scores,
                    encoder_attentions=encoder_attentions,
                    encoder_hidden_states=encoder_hidden_states,
                    decoder_attentions=decoder_attentions,
                    cross_attentions=cross_attentions,
                    decoder_hidden_states=decoder_hidden_states,
                )
            else:
                return BeamSearchDecoderOnlyOutput(
                    sequences=sequence_outputs["sequences"],
                    sequences_scores=sequence_outputs["sequence_scores"],
                    scores=scores,
                    attentions=decoder_attentions,
                    hidden_states=decoder_hidden_states,
                )
        else:
            return sequence_outputs["sequences"]


def top_k_top_p_filtering(
    logits: torch.FloatTensor,
    top_k: int = 0,
    top_p: float = 1.0,
    filter_value: float = -float("Inf"),
    min_tokens_to_keep: int = 1,
) -> torch.FloatTensor:
    """
    Filter a distribution of logits using top-k and/or nucleus (top-p) filtering

    Args:
        logits: logits distribution shape (batch size, vocabulary size)
        if top_k > 0: keep only top k tokens with highest probability (top-k filtering).
        if top_p < 1.0: keep the top tokens with cumulative probability >= top_p (nucleus filtering).
            Nucleus filtering is described in Holtzman et al. (http://arxiv.org/abs/1904.09751)
        Make sure we keep at least min_tokens_to_keep per batch example in the output
    From: https://gist.github.com/thomwolf/1a5a29f6962089e871b94cbd09daf317
    """
    if top_k > 0:
        logits = TopKLogitsWarper(top_k=top_k, filter_value=filter_value, min_tokens_to_keep=min_tokens_to_keep)(
            None, logits
        )

    if 0 <= top_p <= 1.0:
        logits = TopPLogitsWarper(top_p=top_p, min_tokens_to_keep=min_tokens_to_keep)(None, logits)

    return logits