forked from jax-ml/jax
-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathlax_autodiff_test.py
1160 lines (1066 loc) · 52.8 KB
/
lax_autodiff_test.py
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
# Copyright 2020 Google LLC
#
# 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
#
# https://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 collections
from functools import partial
import itertools
from unittest import SkipTest
from absl.testing import absltest
from absl.testing import parameterized
import numpy as np
import jax
from jax import dtypes
from jax import lax
from jax._src import test_util as jtu
from jax.test_util import check_grads
from jax._src.util import prod
from jax.config import config
config.parse_flags_with_absl()
FLAGS = config.FLAGS
compatible_shapes = [[(3,)],
[(), (3, 4), (3, 1), (1, 4)],
[(2, 3, 4), (2, 1, 4)]]
GradTestSpec = collections.namedtuple(
"GradTestSpec",
["op", "nargs", "order", "rng_factory", "dtypes", "name", "tol"])
def grad_test_spec(op, nargs, order, rng_factory, dtypes, name=None, tol=None):
return GradTestSpec(
op, nargs, order, rng_factory, dtypes, name or op.__name__, tol)
float_dtypes = jtu.dtypes.all_floating
inexact_dtypes = jtu.dtypes.all_inexact
grad_float_dtypes = jtu.dtypes.floating
grad_complex_dtypes = jtu.dtypes.complex
grad_inexact_dtypes = jtu.dtypes.inexact
LAX_GRAD_OPS = [
grad_test_spec(lax.neg, nargs=1, order=2, rng_factory=jtu.rand_default,
dtypes=grad_inexact_dtypes),
grad_test_spec(lax.floor, nargs=1, order=2,
rng_factory=partial(jtu.rand_uniform, low=0.1, high=0.4),
dtypes=grad_float_dtypes),
grad_test_spec(lax.ceil, nargs=1, order=2,
rng_factory=partial(jtu.rand_uniform, low=0.1, high=0.4),
dtypes=grad_float_dtypes),
grad_test_spec(lax.round, nargs=1, order=2,
rng_factory=partial(jtu.rand_uniform, low=0.1, high=0.4),
dtypes=grad_float_dtypes),
grad_test_spec(lax.exp, nargs=1, order=2, rng_factory=jtu.rand_small,
dtypes=grad_inexact_dtypes),
grad_test_spec(lax.expm1, nargs=1, order=2, rng_factory=jtu.rand_default,
dtypes=grad_inexact_dtypes),
grad_test_spec(lax.log, nargs=1, order=2, rng_factory=jtu.rand_positive,
dtypes=grad_inexact_dtypes),
grad_test_spec(lax.log1p, nargs=1, order=2, rng_factory=jtu.rand_positive,
dtypes=grad_inexact_dtypes),
grad_test_spec(lax.sinh, nargs=1, order=2, rng_factory=jtu.rand_default,
dtypes=grad_float_dtypes + [np.complex64], tol=1e-5),
grad_test_spec(lax.cosh, nargs=1, order=2, rng_factory=jtu.rand_default,
dtypes=grad_inexact_dtypes, tol=1e-5),
grad_test_spec(lax.tanh, nargs=1, order=2, rng_factory=jtu.rand_default,
dtypes=grad_inexact_dtypes, tol=1e-5),
grad_test_spec(lax.sin, nargs=1, order=2, rng_factory=jtu.rand_default,
dtypes=grad_inexact_dtypes, tol={np.float32: 5e-1}),
grad_test_spec(lax.cos, nargs=1, order=2, rng_factory=jtu.rand_default,
dtypes=grad_inexact_dtypes),
grad_test_spec(lax.tan, nargs=1, order=2,
rng_factory=partial(jtu.rand_uniform, low=-1.3, high=1.3),
dtypes=grad_inexact_dtypes, tol=1e-3),
grad_test_spec(lax.asin, nargs=1, order=2,
rng_factory=partial(jtu.rand_uniform, low=-1.3, high=1.3),
dtypes=grad_float_dtypes, tol=1e-3),
grad_test_spec(lax.acos, nargs=1, order=2,
rng_factory=partial(jtu.rand_uniform, low=-1.3, high=1.3),
dtypes=grad_float_dtypes, tol=2e-2),
# TODO(proteneer): atan2 input is already a representation of a
# complex number. Need to think harder about what this even means
# if each input itself is a complex number.
grad_test_spec(lax.atan2, nargs=2, order=2, rng_factory=jtu.rand_default,
dtypes=grad_float_dtypes),
grad_test_spec(lax.erf, nargs=1, order=2, rng_factory=jtu.rand_small,
dtypes=grad_float_dtypes),
grad_test_spec(lax.erfc, nargs=1, order=2, rng_factory=jtu.rand_small,
dtypes=grad_float_dtypes),
grad_test_spec(lax.erf_inv, nargs=1, order=2, rng_factory=jtu.rand_small,
dtypes=grad_float_dtypes),
# grad_test_spec(lax.lgamma, nargs=1, order=2, rng_factory=jtu.rand_small,
# dtypes=grad_float_dtypes), # TODO(mattjj): enable
grad_test_spec(lax.bessel_i0e, nargs=1, order=2, rng_factory=jtu.rand_default,
dtypes=grad_float_dtypes),
grad_test_spec(lax.bessel_i1e, nargs=1, order=2, rng_factory=jtu.rand_default,
dtypes=grad_float_dtypes),
grad_test_spec(lax.real, nargs=1, order=2, rng_factory=jtu.rand_default,
dtypes=grad_complex_dtypes),
grad_test_spec(lax.imag, nargs=1, order=2, rng_factory=jtu.rand_default,
dtypes=grad_complex_dtypes),
grad_test_spec(lax.complex, nargs=2, order=2, rng_factory=jtu.rand_default,
dtypes=grad_float_dtypes),
grad_test_spec(lax.conj, nargs=1, order=2, rng_factory=jtu.rand_default,
dtypes=grad_inexact_dtypes),
grad_test_spec(lax.abs, nargs=1, order=2, rng_factory=jtu.rand_positive,
dtypes=grad_inexact_dtypes),
grad_test_spec(lax.pow, nargs=2, order=2, rng_factory=jtu.rand_positive,
dtypes=grad_inexact_dtypes, tol={np.float32: 3e-1}),
grad_test_spec(lax.sqrt, nargs=1, order=2, rng_factory=jtu.rand_positive,
dtypes=grad_float_dtypes),
grad_test_spec(lax.sqrt, nargs=1, order=2, rng_factory=jtu.rand_default,
dtypes=grad_complex_dtypes),
grad_test_spec(lax.rsqrt, nargs=1, order=2, rng_factory=jtu.rand_positive,
dtypes=grad_float_dtypes),
grad_test_spec(lax.rsqrt, nargs=1, order=2, rng_factory=jtu.rand_default,
dtypes=grad_complex_dtypes),
grad_test_spec(lax.cbrt, nargs=1, order=2, rng_factory=jtu.rand_default,
dtypes=grad_float_dtypes, tol={np.float64: 3e-5}),
grad_test_spec(lax.logistic, nargs=1, order=2,
rng_factory=jtu.rand_default,
dtypes=grad_inexact_dtypes),
grad_test_spec(lax.add, nargs=2, order=2, rng_factory=jtu.rand_default,
dtypes=grad_inexact_dtypes),
grad_test_spec(lax.sub, nargs=2, order=2, rng_factory=jtu.rand_default,
dtypes=grad_inexact_dtypes),
grad_test_spec(lax.mul, nargs=2, order=2, rng_factory=jtu.rand_default,
dtypes=grad_inexact_dtypes),
grad_test_spec(lax.div, nargs=2, order=1, rng_factory=jtu.rand_not_small,
dtypes=grad_inexact_dtypes),
grad_test_spec(lax.max, nargs=2, order=2, rng_factory=jtu.rand_default,
dtypes=grad_float_dtypes),
grad_test_spec(lax.min, nargs=2, order=2, rng_factory=jtu.rand_default,
dtypes=grad_float_dtypes),
# TODO(mattjj): make some-equal checks more robust, enable second-order
# grad_test_spec(lax.max, nargs=2, order=1, rng_factory=jtu.rand_some_equal,
# dtypes=grad_float_dtypes, name="MaxSomeEqual"),
# grad_test_spec(lax.min, nargs=2, order=1, rng_factory=jtu.rand_some_equal,
# dtypes=grad_float_dtypes, name="MinSomeEqual"),
]
GradSpecialValuesTestSpec = collections.namedtuple(
"GradSpecialValuesTestSpec", ["op", "values", "tol"])
def grad_special_values_test_spec(op, values, tol=None):
return GradSpecialValuesTestSpec(op, values, tol)
LAX_GRAD_SPECIAL_VALUE_TESTS = [
grad_special_values_test_spec(
lax.sinh, [0.],
tol={np.float32: 1e-2} if jtu.device_under_test() == "tpu" else None),
grad_special_values_test_spec(
lax.cosh, [0.],
tol={np.float32: 1e-2} if jtu.device_under_test() == "tpu" else None),
grad_special_values_test_spec(lax.tanh, [0., 1000.]),
grad_special_values_test_spec(lax.sin, [0., np.pi, np.pi/2., np.pi/4.]),
grad_special_values_test_spec(lax.cos, [0., np.pi, np.pi/2., np.pi/4.]),
grad_special_values_test_spec(lax.tan, [0.]),
grad_special_values_test_spec(lax.asin, [0.]),
grad_special_values_test_spec(lax.acos, [0.]),
grad_special_values_test_spec(lax.atan, [0., 1000.]),
grad_special_values_test_spec(lax.erf, [0., 10.]),
grad_special_values_test_spec(lax.erfc, [0., 10.]),
]
def check_grads_bilinear(f, args, order,
modes=("fwd", "rev"), atol=None, rtol=None):
# Can use large eps to make up for numerical inaccuracies since the op is
# bilinear (relying on the fact that we only check one arg at a time)
lhs, rhs = args
check_grads(lambda lhs: f(lhs, rhs), (lhs,), order,
modes=modes, atol=atol, rtol=rtol, eps=1.)
check_grads(lambda rhs: f(lhs, rhs), (rhs,), order,
modes=modes, atol=atol, rtol=rtol, eps=1.)
class LaxAutodiffTest(jtu.JaxTestCase):
@parameterized.named_parameters(itertools.chain.from_iterable(
jtu.cases_from_list(
{"testcase_name": jtu.format_test_name_suffix(
rec.name, shapes, itertools.repeat(dtype)),
"op": rec.op, "rng_factory": rec.rng_factory, "shapes": shapes, "dtype": dtype,
"order": rec.order, "tol": rec.tol}
for shape_group in compatible_shapes
for shapes in itertools.combinations_with_replacement(shape_group, rec.nargs)
for dtype in rec.dtypes)
for rec in LAX_GRAD_OPS))
def testOpGrad(self, op, rng_factory, shapes, dtype, order, tol):
rng = rng_factory(self.rng())
if jtu.device_under_test() == "tpu" and op is lax.pow:
raise SkipTest("pow grad imprecise on tpu")
tol = jtu.join_tolerance(1e-1, tol) if jtu.num_float_bits(dtype) == 32 else tol
args = tuple(rng(shape, dtype) for shape in shapes)
check_grads(op, args, order, ["fwd", "rev"], tol, tol)
@parameterized.named_parameters(itertools.chain.from_iterable(
jtu.cases_from_list(
{"testcase_name": f"_{rec.op.__name__}_{special_value}",
"op": rec.op, "special_value": special_value, "tol": rec.tol}
for special_value in rec.values)
for rec in LAX_GRAD_SPECIAL_VALUE_TESTS))
def testOpGradSpecialValue(self, op, special_value, tol):
check_grads(op, (special_value,), 2, ["fwd", "rev"], rtol=tol, atol=tol)
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name": "_from_dtype={}_to_dtype={}".format(
jtu.dtype_str(from_dtype), jtu.dtype_str(to_dtype)),
"from_dtype": from_dtype, "to_dtype": to_dtype}
for from_dtype, to_dtype in itertools.product(inexact_dtypes, repeat=2)))
def testConvertElementTypeGrad(self, from_dtype, to_dtype):
rng = jtu.rand_default(self.rng())
tol = max(jtu.tolerance(to_dtype, jtu.default_gradient_tolerance),
jtu.tolerance(from_dtype, jtu.default_gradient_tolerance))
args = (rng((2, 3), from_dtype),)
convert_element_type = lambda x: lax.convert_element_type(x, to_dtype)
convert_element_type = jtu.ignore_warning(category=np.ComplexWarning)(
convert_element_type)
check_grads(convert_element_type, args, 2, ["fwd", "rev"], tol, tol, eps=1.)
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name": "_shape={}".format(
jtu.format_shape_dtype_string(shape, dtype)),
"shape": shape, "dtype": dtype}
for shape in [(), (2, 3)]
for dtype in grad_float_dtypes))
def testClampGrad(self, shape, dtype):
rng = jtu.rand_default(self.rng())
operand = rng(shape, dtype)
low = operand - dtype(10)
high = operand + dtype(10)
# Avoids points near the boundary where the gradient may be inaccurate.
check_grads(lax.clamp, (operand, low, high), 2, ["fwd", "rev"], eps=1e-2)
check_grads(lax.clamp, (low, operand, high), 2, ["fwd", "rev"], eps=1e-2)
check_grads(lax.clamp, (low, high, operand), 2, ["fwd", "rev"], eps=1e-2)
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name": "_dim={}_baseshape=[{}]_dtype={}_narrs={}".format(
dim, ",".join(str(d) for d in base_shape), np.dtype(dtype).name,
num_arrs),
"dim": dim, "base_shape": base_shape, "dtype": dtype, "num_arrs": num_arrs}
for num_arrs in [3]
for dtype in float_dtypes
for base_shape in [(4,), (3, 4), (2, 3, 4)]
for dim in range(len(base_shape))))
def testConcatenateGrad(self, dim, base_shape, dtype, num_arrs):
rng = jtu.rand_default(self.rng())
shapes = [base_shape[:dim] + (size,) + base_shape[dim+1:]
for size, _ in zip(itertools.cycle([3, 1, 4]), range(num_arrs))]
operands = tuple(rng(shape, dtype) for shape in shapes)
concatenate = lambda *args: lax.concatenate(args, dim)
check_grads(concatenate, operands, 2, ["fwd", "rev"], eps=1.)
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name":
"_lhs_shape={}_rhs_shape={}_strides={}_padding={}"
.format(jtu.format_shape_dtype_string(lhs_shape, dtype),
jtu.format_shape_dtype_string(rhs_shape, dtype),
strides, padding),
"lhs_shape": lhs_shape, "rhs_shape": rhs_shape, "dtype": dtype,
"strides": strides, "padding": padding}
for lhs_shape, rhs_shape, all_strides in itertools.chain(
[((b, i, 3, 4), (j, i, 1, 2), [(1, 1), (1, 2), (2, 1)])
for b, i, j in itertools.product([2, 3], repeat=3)],
[((4, 2, 1), (3, 2, 1), [(1,)])])
for strides in all_strides
for dtype in float_dtypes
for padding in ["VALID", "SAME"]))
def testConvGrad(self, lhs_shape, rhs_shape, dtype, strides, padding):
rng = jtu.rand_small(self.rng())
lhs = rng(lhs_shape, dtype)
rhs = rng(rhs_shape, dtype)
conv = partial(lax.conv, window_strides=strides, padding=padding,
precision=lax.Precision.HIGHEST)
check_grads_bilinear(conv, (lhs, rhs), order=2, modes=["fwd", "rev"],
atol=1e-2, rtol=1e-2)
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name":
"_lhs_shape={}_rhs_shape={}_strides={}_padding={}_lhs_dilation={}_"
"rhs_dilation={}"
.format(jtu.format_shape_dtype_string(lhs_shape, dtype),
jtu.format_shape_dtype_string(rhs_shape, dtype),
strides, padding, lhs_dil, rhs_dil),
"lhs_shape": lhs_shape, "rhs_shape": rhs_shape, "dtype": dtype,
"strides": strides, "padding": padding, "lhs_dil": lhs_dil,
"rhs_dil": rhs_dil}
for lhs_shape, rhs_shape, all_strides, all_pads, lhs_dils, rhs_dils in
itertools.chain(
[((b, i, 3, 4), (j, i, 1, 2), [(1, 1), (1, 2), (2, 1)],
[((0, 0), (0, 0)), ((-1, 0), (0, -1)), ((1, 0), (0, 1))],
[(1, 1), (2, 1)], [(1, 1)])
for b, i, j in itertools.product([2, 3], repeat=3)],
[((4, 2, 1), (3, 2, 1), [(1,)], [((1, 1),), ((0, 0),)],
[(1,), (2,)], [(1,), (2,)])])
for strides in all_strides
for rhs_dil in rhs_dils
for lhs_dil in lhs_dils
for dtype in float_dtypes
for padding in all_pads))
def testConvWithGeneralPaddingGrad(self, lhs_shape, rhs_shape, dtype, strides,
padding, lhs_dil, rhs_dil):
rng = jtu.rand_small(self.rng())
lhs = rng(lhs_shape, dtype)
rhs = rng(rhs_shape, dtype)
conv = partial(lax.conv_with_general_padding, window_strides=strides,
padding=padding, lhs_dilation=lhs_dil, rhs_dilation=rhs_dil,
precision=lax.Precision.HIGHEST)
check_grads_bilinear(conv, (lhs, rhs), order=2, modes=["fwd", "rev"],
atol=1e-2, rtol=1e-2)
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name":
"_lhs_shape={}_rhs_shape={}_strides={}_padding={}_lhs_dilation={}_"
"rhs_dilation={}_dims={}_feature_group_count={}_batch_group_count={}"
.format(jtu.format_shape_dtype_string(lhs_shape, dtype),
jtu.format_shape_dtype_string(rhs_shape, dtype),
strides, padding, lhs_dil, rhs_dil, ",".join(dim_nums),
feature_group_count, batch_group_count),
"lhs_shape": lhs_shape, "rhs_shape": rhs_shape, "dtype": dtype,
"strides": strides, "padding": padding, "lhs_dil": lhs_dil,
"rhs_dil": rhs_dil, "dimension_numbers": dim_nums,
"perms": perms, "feature_group_count": feature_group_count,
"batch_group_count": batch_group_count}
for batch_group_count, feature_group_count in ([(1, 1), (2, 1), (1, 2)])
for lhs_shapes, rhs_shape, all_strides, lhs_dils, rhs_dils in [
([(b * batch_group_count, i * feature_group_count, 6, 7),
(b * batch_group_count, i * feature_group_count, 0, 4)], # lhs_shape
(j * batch_group_count * feature_group_count, i, 1, 2), # rhs_shape
[(1, 1), (1, 2), (2, 1)], # strides
[(1, 1), (2, 1)], # lhs_dils
[(1, 1), (2, 2)]) # rhs_dils
for b, i, j in itertools.product([1, 2], repeat=3)]
for lhs_shape in lhs_shapes
for strides in all_strides
for rhs_dil in rhs_dils
for lhs_dil in lhs_dils
for dtype in grad_inexact_dtypes
for padding in ([((0, 0), (0, 0)), ((1, 0), (0, 1))] +
([((0, -1), (0, 0))] if lhs_shape[2] != 0 else []))
for dim_nums, perms in [
(("NCHW", "OIHW", "NCHW"), ([0, 1, 2, 3], [0, 1, 2, 3])),
(("NHWC", "HWIO", "NHWC"), ([0, 2, 3, 1], [2, 3, 1, 0])),
(("NHWC", "OIHW", "NCHW"), ([0, 2, 3, 1], [0, 1, 2, 3]))]))
def testConvGeneralDilatedGrad(self, lhs_shape, rhs_shape, dtype, strides,
padding, lhs_dil, rhs_dil, dimension_numbers,
perms, feature_group_count, batch_group_count):
if dtype == np.float16:
raise SkipTest("float16 numerical issues") # TODO(mattjj): resolve
if (jtu.device_under_test() == "cpu" and dtype == np.float64 and
lhs_shape == (1,1,6,7) and rhs_shape == (2,1,1,2) and strides == (2, 1)
and padding == ((0, -1), (0, 0)) and lhs_dil == (1, 1) and
rhs_dil == (1, 1)):
# TODO(b/173608403): reenable after LLVM fix.
raise SkipTest("Skipping test due to LLVM lowering bug")
rng = jtu.rand_default(self.rng())
tol = {dtypes.bfloat16: 1e-0, np.float16: 5e-1, np.float32: 1e-3}
# permute shapes to match dim_spec, scale by feature_group_count
lhs_perm, rhs_perm = perms
lhs_shape = list(np.take(lhs_shape, lhs_perm))
rhs_shape = list(np.take(rhs_shape, rhs_perm))
lhs = rng(lhs_shape, dtype)
rhs = rng(rhs_shape, dtype)
conv = partial(lax.conv_general_dilated, window_strides=strides,
padding=padding, lhs_dilation=lhs_dil, rhs_dilation=rhs_dil,
dimension_numbers=dimension_numbers,
feature_group_count=feature_group_count,
batch_group_count=batch_group_count,
precision=lax.Precision.HIGHEST)
check_grads_bilinear(conv, (lhs, rhs), order=2, modes=["fwd", "rev"],
atol=tol, rtol=tol)
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name": "_lhs_shape={}_rhs_shape={}".format(
jtu.format_shape_dtype_string(lhs_shape, dtype),
jtu.format_shape_dtype_string(rhs_shape, dtype)),
"lhs_shape": lhs_shape, "rhs_shape": rhs_shape, "dtype": dtype}
for lhs_shape in [(2,), (3, 2)] for rhs_shape in [(2,), (2, 4)]
for dtype in float_dtypes))
def testDotGrad(self, lhs_shape, rhs_shape, dtype):
rng = jtu.rand_default(self.rng())
tol = {np.float16: 1e-1, np.float32: 1e-4}
lhs = rng(lhs_shape, dtype)
rhs = rng(rhs_shape, dtype)
dot = partial(lax.dot, precision=lax.Precision.HIGHEST)
check_grads_bilinear(dot, (lhs, rhs), order=2, modes=["fwd", "rev"],
atol=tol, rtol=tol)
# check that precision config is preserved
result, pullback = jax.vjp(dot, lhs, rhs)
gresult = lax.zeros_like_array(result)
s = str(jax.make_jaxpr(pullback)(gresult))
assert "Precision.HIGHEST" in s
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name":
"_lhs_shape={}_rhs_shape={}_dimension_numbers={}"
.format(jtu.format_shape_dtype_string(lhs_shape, dtype),
jtu.format_shape_dtype_string(rhs_shape, dtype),
dimension_numbers),
"lhs_shape": lhs_shape, "rhs_shape": rhs_shape, "dtype": dtype,
"dimension_numbers": dimension_numbers}
for lhs_shape, rhs_shape, dimension_numbers in [
((3, 2), (2, 4), (([1], [0]), ([], []))),
((3, 5), (2, 5), (([1], [1]), ([], []))),
((5, 3), (5, 2), (([0], [0]), ([], []))),
((3, 3, 2), (3, 2, 4), (([2], [1]), ([0], [0]))),
((3, 5, 2), (2, 4, 5), (([2], [0]), ([1], [2]))),
((7, 3, 5, 2), (2, 2, 4, 5), (([3], [0]), ([2], [3]))),
]
for dtype in float_dtypes))
def testDotGeneralContractAndBatchGrads(self, lhs_shape, rhs_shape, dtype,
dimension_numbers):
rng = jtu.rand_small(self.rng())
lhs = rng(lhs_shape, dtype)
rhs = rng(rhs_shape, dtype)
dot_general = partial(lax.dot_general, dimension_numbers=dimension_numbers,
precision=lax.Precision.HIGHEST)
check_grads_bilinear(dot_general, (lhs, rhs), order=2, modes=["fwd", "rev"])
# check that precision config is preserved
result, pullback = jax.vjp(dot_general, lhs, rhs)
gresult = lax.zeros_like_array(result)
s = str(jax.make_jaxpr(pullback)(gresult))
assert "Precision.HIGHEST" in s
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name": "_shape={}_dtype={}_broadcast_sizes={}".format(
shape, np.dtype(dtype).name, broadcast_sizes),
"shape": shape, "dtype": dtype, "broadcast_sizes": broadcast_sizes}
for shape in [(), (2, 3)]
for dtype in float_dtypes
for broadcast_sizes in [(), (2,), (1, 2)]))
def testBroadcastGrad(self, shape, dtype, broadcast_sizes):
rng = jtu.rand_default(self.rng())
args = (rng(shape, dtype),)
broadcast = lambda x: lax.broadcast(x, broadcast_sizes)
check_grads(broadcast, args, 2, ["fwd", "rev"], eps=1.)
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name": "_inshape={}_outshape={}_bcdims={}".format(
jtu.format_shape_dtype_string(inshape, dtype),
outshape, broadcast_dimensions),
"inshape": inshape, "dtype": dtype, "outshape": outshape,
"dimensions": broadcast_dimensions}
for inshape, outshape, broadcast_dimensions in [
([2], [2, 2], [0]),
([2], [2, 2], [1]),
([2], [2, 3], [0]),
([], [2, 3], []),
]
for dtype in float_dtypes))
def testBroadcastInDimGrad(self, inshape, dtype, outshape, dimensions):
rng = jtu.rand_default(self.rng())
operand = rng(inshape, dtype)
broadcast_in_dim = lambda x: lax.broadcast_in_dim(x, outshape, dimensions)
check_grads(broadcast_in_dim, (operand,), 2, ["fwd", "rev"], eps=1.)
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name": "_inshape={}_outshape={}_perm={}".format(
jtu.format_shape_dtype_string(arg_shape, dtype),
jtu.format_shape_dtype_string(out_shape, dtype),
permutation),
"arg_shape": arg_shape, "out_shape": out_shape, "dtype": dtype,
"permutation": permutation}
for dtype in float_dtypes
for arg_shape, out_shape, permutation in [
[(3, 4), (12,), None],
[(2, 1, 4), (8,), None],
[(2, 2, 4), (2, 8), None],
[(3, 4), (12,), (0, 1)],
[(3, 4), (12,), (1, 0)],
[(2, 1, 4), (8,), (0, 2, 1)],
[(2, 1, 4), (8,), (2, 0, 1)],
[(2, 2, 4), (2, 8), (0, 2, 1)],
[(2, 2, 4), (2, 8), (2, 0, 1)],
]))
def testReshapeGrad(self, arg_shape, out_shape, permutation, dtype):
rng = jtu.rand_default(self.rng())
operand = rng(arg_shape, dtype)
reshape = lambda x: lax.reshape(x, out_shape, permutation)
check_grads(reshape, (operand,), 2, ["fwd", "rev"], eps=1.)
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name": "_inshape={}_pads={}"
.format(jtu.format_shape_dtype_string(shape, dtype), pads),
"shape": shape, "dtype": dtype, "pads": pads}
for dtype in float_dtypes
for shape, paddings in [
[(), [()]],
((2, 3), [[(1, 2, 1), (0, 1, 0)], [(-1, 0, 0), (-1, 0, 2)]]),
]
for pads in paddings))
def testPadGrad(self, shape, dtype, pads):
rng = jtu.rand_small(self.rng())
operand = rng(shape, dtype)
pad = lambda operand: lax.pad(operand, np.array(0, dtype), pads)
check_grads(pad, (operand,), 2, ["fwd", "rev"], eps=1.)
operand = rng(shape, dtype)
padding_value = np.array(0., dtype)
pad = lambda operand, padding_value: lax.pad(operand, padding_value, pads)
check_grads(pad, (operand, padding_value), 2, ["fwd", "rev"], eps=1.)
def testReverseGrad(self):
rev = lambda operand: lax.rev(operand, dimensions)
dimensions = [0]
check_grads(rev, (np.array([3., 2., 1.]),), 2)
dimensions = [0, 1]
check_grads(rev, (np.array([[6., 5., 4.], [3., 2., 1.]]),), 2,
rtol={np.float32: 3e-3})
def testPowSecondDerivative(self):
# https://github.com/google/jax/issues/12033
x, y = 4.0, 0.0
expected = ((0.0, 1/x), (1/x, np.log(x) ** 2))
with self.subTest("jacfwd"):
result_fwd = jax.jacfwd(jax.jacfwd(lax.pow, (0, 1)), (0, 1))(x, y)
self.assertAllClose(result_fwd, expected)
with self.subTest("jacrev"):
result_rev = jax.jacrev(jax.jacrev(lax.pow, (0, 1)), (0, 1))(x, y)
self.assertAllClose(result_rev, expected)
with self.subTest("zero to the zero"):
result = jax.grad(lax.pow)(0.0, 0.0)
# TODO(jakevdp) special-case zero in a way that doesn't break other cases
# See https://github.com/google/jax/pull/12041#issuecomment-1222766191
# self.assertEqual(result, 0.0)
self.assertAllClose(result, np.nan)
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name": "_predshape={}_argshapes={}".format(
jtu.format_shape_dtype_string(pred_shape, np.bool_),
jtu.format_shape_dtype_string(arg_shape, dtype)),
"pred_shape": pred_shape, "arg_shape": arg_shape, "dtype": dtype}
for arg_shape in [(), (3,), (2, 3)]
for pred_shape in ([(), arg_shape] if arg_shape else [()])
for dtype in float_dtypes))
def testSelectGrad(self, pred_shape, arg_shape, dtype):
rng = jtu.rand_default(self.rng())
pred = rng(pred_shape, np.bool_)
on_true = rng(arg_shape, dtype)
on_false = rng(arg_shape, dtype)
select = lambda on_true, on_false: lax.select(pred, on_true, on_false)
check_grads(select, (on_true, on_false), 2, ["fwd", "rev"], eps=1.)
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name":
"_shape={}_start_indices={}_limit_indices={}_strides={}".format(
jtu.format_shape_dtype_string(shape, dtype),
start_indices, limit_indices, strides),
"shape": shape, "dtype": dtype, "starts": start_indices,
"limits": limit_indices, "strides": strides}
for shape, start_indices, limit_indices, strides in [
[(3,), (1,), (2,), None],
[(7,), (4,), (7,), None],
[(5,), (1,), (5,), (2,)],
[(8,), (1,), (6,), (2,)],
[(5, 3), (1, 1), (3, 2), None],
[(5, 3), (1, 1), (3, 1), None],
[(7, 5, 3), (4, 0, 1), (7, 1, 3), None],
[(5, 3), (1, 1), (2, 1), (1, 1)],
[(5, 3), (1, 1), (5, 3), (2, 1)],
[(3, 3, 5), (0, 2, 0), (3, 2, 5), (1, 2, 1)]
]
for dtype in float_dtypes))
def testSliceGrad(self, shape, dtype, starts, limits, strides):
rng = jtu.rand_default(self.rng())
operand = rng(shape, dtype)
slice = lambda x: lax.slice(x, starts, limits, strides)
check_grads(slice, (operand,), 2, ["fwd", "rev"], eps=1.)
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name": "_shape={}_start_indices={}_size_indices={}".format(
jtu.format_shape_dtype_string(shape, dtype),
start_indices, size_indices),
"shape": shape, "dtype": dtype, "start_indices": start_indices,
"size_indices": size_indices}
for shape, start_indices, size_indices in [
[(3,), (1,), (1,)],
[(5, 3), (1, 1), (3, 1)],
[(7, 5, 3), (4, 1, 0), (2, 0, 1)],
]
for dtype in float_dtypes))
def testDynamicSliceGrad(self, shape, dtype, start_indices, size_indices):
rng = jtu.rand_default(self.rng())
operand = rng(shape, dtype)
dynamic_slice = lambda x: lax.dynamic_slice(x, start_indices, size_indices)
check_grads(dynamic_slice, (operand,), 2, ["fwd", "rev"], eps=1.)
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name": "_shape={}_start_indices={}_update_shape={}".format(
jtu.format_shape_dtype_string(shape, dtype),
start_indices, update_shape),
"shape": shape, "dtype": dtype, "start_indices": start_indices,
"update_shape": update_shape}
for shape, start_indices, update_shape in [
[(3,), (1,), (1,)],
[(5, 3), (1, 1), (3, 1)],
[(7, 5, 3), (4, 1, 0), (2, 0, 1)],
]
for dtype in float_dtypes))
def testDynamicUpdateSliceGrad(self, shape, dtype, start_indices, update_shape):
rng = jtu.rand_default(self.rng())
operand = rng(shape, dtype)
update = rng(update_shape, dtype)
start_indices = np.array(start_indices)
dus = lambda x, y: lax.dynamic_update_slice(x, y, start_indices)
check_grads(dus, (operand, update), 2, ["fwd", "rev"], eps=1.)
dus = lambda x: lax.dynamic_update_slice(x, update, start_indices)
check_grads(dus, (operand,), 2, ["fwd", "rev"], eps=1.)
dus = lambda y: lax.dynamic_update_slice(operand, y, start_indices)
check_grads(dus, (update,), 2, ["fwd", "rev"], eps=1.)
def testDynamicSliceValueAndGrad(self):
# Regression test for https://github.com/google/jax/issues/10984
# Issue arose due to an out-of-range negative index.
rng = jtu.rand_default(self.rng())
shape = (5, 5)
axis = 0
index = -(shape[axis] + 3)
def f(x):
return lax.dynamic_index_in_dim(x, index, axis).sum()
x = rng(shape, np.float32)
result1 = f(x)
result2, _ = jax.value_and_grad(f, 0)(x)
self.assertAllClose(result1, result2)
def testDynamicUpdateSliceValueAndGrad(self):
# Regression test for https://github.com/google/jax/issues/10984
# Issue arose due to an out-of-range negative index.
rng = jtu.rand_default(self.rng())
shape = (5, 5)
axis = 0
index = -(shape[axis] + 3)
def f(x, y):
return lax.dynamic_update_index_in_dim(x, y, index, axis).sum()
x = rng(shape, np.float32)
y = rng([1 for s in shape], np.float32)
result1 = f(x, y)
result2, _ = jax.value_and_grad(f, 0)(x, y)
self.assertAllClose(result1, result2)
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name": "_shape={}_perm={}".format(
jtu.format_shape_dtype_string(shape, dtype), perm),
"shape": shape, "dtype": dtype, "perm": perm}
for shape, perm in [
[(3, 4), (1, 0)],
[(3, 4), (0, 1)],
[(3, 4, 5), (2, 1, 0)],
[(3, 4, 5), (1, 0, 2)],
]
for dtype in float_dtypes))
def testTransposeGrad(self, shape, dtype, perm):
rng = jtu.rand_default(self.rng())
operand = rng(shape, dtype)
transpose = lambda x: lax.transpose(x, perm)
check_grads(transpose, (operand,), 2, ["fwd", "rev"], eps=1.)
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name": "_op={}_inshape={}_reducedims={}"
.format(op.__name__, jtu.format_shape_dtype_string(shape, dtype), dims),
"op": op, "init_val": init_val, "shape": shape, "dtype": dtype,
"dims": dims, "rng_factory": rng_factory}
for init_val, op, dtypes, rng_factory in [
(0, lax.add, float_dtypes + jtu.dtypes.complex, jtu.rand_default),
(-np.inf, lax.max, grad_inexact_dtypes, jtu.rand_unique_int),
(np.inf, lax.min, grad_inexact_dtypes, jtu.rand_unique_int),
(1, lax.mul, grad_float_dtypes, partial(jtu.rand_default, scale=1)),
]
for dtype in dtypes
for shape, dims in [
[(), ()],
[(3, 4, 5), ()],
[(3, 4, 5), (0,)],
[(3, 4, 5), (1, 2)],
[(3, 4, 5), (0, 2)],
[(3, 4, 5), (0, 1, 2)],
[(3, 1), (1,)],
[(3, 0, 5), (1,)],
]))
def testReduceGrad(self, op, init_val, shape, dtype, dims, rng_factory):
rng = rng_factory(self.rng())
if jtu.device_under_test() == "tpu" and op is lax.mul:
raise SkipTest("unimplemented case")
tol = {dtypes.bfloat16: 2e-1, np.float16: 1e-1, np.float32: 1e-1,
np.float64: 1e-3, np.complex64: 1e-1}
operand = rng(shape, dtype)
init_val = np.asarray(init_val, dtype=dtype)
reduce = lambda operand: lax.reduce(operand, init_val, op, dims)
eps = (1.0 if dtypes.finfo(dtype).bits == 16 and op is lax.add else
1e-1 if dtype == dtypes.bfloat16 else
1e-2 if dtypes.finfo(dtype).bits == 32 else None)
if op not in (lax.max, lax.min) or all(d > 0 for d in shape):
check_grads(reduce, (operand,), 2, ["fwd", "rev"], tol, tol, eps)
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name": "_inshape={}_reducedims={}"
.format(jtu.format_shape_dtype_string(shape, dtype), dims),
"shape": shape, "dtype": dtype, "dims": dims}
for dtype in grad_float_dtypes
for shape, dims in [
[(3, 4, 5), ()],
[(3, 4, 5), (0,)],
[(3, 4, 5), (1, 2)],
[(3, 4, 5), (0, 2)],
[(3, 4, 5), (0, 1, 2)],
[(3, 1), (1,)],
[(3, 0, 5), (1,)],
]))
def testReducePairGrad(self, shape, dtype, dims):
rng = jtu.rand_default(self.rng(), scale=1)
tol = {np.float32: 1e-2, np.float64: 1e-4}
operands = (rng(shape, dtype), rng(shape, dtype))
init_vals = (np.array(0, dtype), np.array(1, dtype))
def op(xs, ys):
return (xs[0] + ys[0], xs[1] * ys[1])
reduce = lambda xs, ys: lax.reduce((xs, ys), init_vals, op, dims)
check_grads(reduce, operands, 2, ["fwd", "rev"], tol, tol)
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name": ("_op={}_shape={}_dims={}_strides={}_padding={}"
"_basedilation={}_windowdilation={}")
.format(op.__name__, jtu.format_shape_dtype_string(shape, dtype), dims,
strides, padding, base_dilation, window_dilation),
"op": op, "init_val": init_val, "dtype": dtype, "shape": shape,
"dims": dims, "strides": strides, "padding": padding,
"base_dilation": base_dilation, "window_dilation": window_dilation,
"rng_factory": rng_factory}
for init_val, op, dtypes, rng_factory in [
(0, lax.add, grad_float_dtypes, jtu.rand_small),
(-np.inf, lax.max, grad_float_dtypes, jtu.rand_unique_int),
(np.inf, lax.min, grad_float_dtypes, jtu.rand_unique_int),
]
for shape, dims, strides, padding, base_dilation, window_dilation in (
itertools.chain(
itertools.product(
[(4, 6)],
[(2, 1), (1, 2)],
[(1, 1), (2, 1), (1, 2)],
["VALID", "SAME", [(0, 3), (1, 2)]],
[(1, 1)] + ([(2, 3)]),
[(1, 1)] + ([(1, 2)] if op is lax.add else [])),
itertools.product(
[(3, 2, 4, 6)],
[(1, 1, 2, 1), (2, 1, 2, 1)],
[(1, 2, 2, 1), (1, 1, 1, 1)],
["VALID", "SAME", [(0, 1), (1, 0), (2, 3), (0, 2)]],
[(1, 1, 1, 1)] + ([(2, 1, 3, 2)]),
[(1, 1, 1, 1)] + ([(1, 2, 2, 1)] if op is lax.add else []))))
for dtype in dtypes))
@jtu.ignore_warning(category=UserWarning,
message="Using reduced precision for gradient.*")
def testReduceWindowGrad(
self, op, init_val, dtype, shape, dims, strides,
padding, base_dilation, window_dilation, rng_factory):
rng = rng_factory(self.rng())
init_val = np.asarray(init_val, dtype=dtype)
gradient_order = 3
# We need this conditional and the corresponding loop logic to be in the
# test method, rather than at the parameterized test level, because it
# depends on FLAGS for the device under test.
# TODO(b/31565929): enable when fixed.
if jtu.device_under_test() == "tpu" and op is not lax.add:
if (len(shape) != 4 or dims != (1, 1, 2, 1)
or not isinstance(padding, str)):
raise SkipTest("Only R4 SelectAndScatter implemented on TPU")
def fun(operand):
return lax.reduce_window(operand, init_val, op, dims, strides, padding,
base_dilation, window_dilation)
operand = rng(shape, dtype)
if op is lax.add:
eps = 1.
tol = None
else:
# this test can fail if there are duplicates in operand
self.assertEqual(np.unique(operand).size, operand.size,
msg="test requires operand elements to be unique.")
eps = 1e-2
tol = {np.float16: 1e-1, np.float32: 6e-2, np.float64: 6e-2}
check_grads(fun, (operand,), gradient_order, ["fwd", "rev"], tol, tol,
eps)
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name": "_op={}_shape={}_axis={}_reverse={}"
.format(op.__name__, jtu.format_shape_dtype_string(shape, dtype), axis,
reverse),
"op": op, "shape": shape, "dtype": dtype,
"axis": axis, "reverse": reverse}
for op, types in [
(lax.cumsum, [np.float32, np.float64]),
(lax.cumprod, [np.float32, np.float64]),
]
for dtype in types
for shape in [[10], [3, 4, 5]]
for axis in range(len(shape))
for reverse in [False, True]))
def testCumulativeReduceGrad(self, op, shape, dtype, axis, reverse):
rng_factory = (jtu.rand_default if dtypes.issubdtype(dtype, np.integer)
else jtu.rand_small)
rng = rng_factory(self.rng())
check_grads(partial(op, axis=axis, reverse=reverse), (rng(shape, dtype),),
order=2)
# TODO(b/205052657): enable more tests when supported
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name": "_shape={}_axis={}_isstable={}".format(
jtu.format_shape_dtype_string(shape, dtype), axis, is_stable),
"shape": shape, "dtype": dtype, "axis": axis, "is_stable": is_stable}
for dtype in [np.float32]
for shape in [(5,), (5, 7)]
for axis in [len(shape) - 1]
for is_stable in [False, True]))
def testSortGrad(self, shape, dtype, axis, is_stable):
rng = jtu.rand_default(self.rng())
operand = rng(shape, dtype)
sort = lambda x: lax.sort(x, dimension=axis, is_stable=is_stable)
check_grads(sort, (operand,), 2, ["fwd", "rev"], eps=1e-2)
# TODO(b/205052657): enable more tests when supported
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name": "_keyshape={}_valshape={}_axis={}_isstable={}".format(
jtu.format_shape_dtype_string(shape, key_dtype),
jtu.format_shape_dtype_string(shape, val_dtype),
axis, is_stable),
"shape": shape, "key_dtype": key_dtype, "val_dtype": val_dtype,
"axis": axis, "is_stable": is_stable}
for key_dtype in [np.float32]
for val_dtype in [np.float32]
for shape in [(3,), (5, 3)]
for axis in [len(shape) - 1]
for is_stable in [False, True]))
def testSortKeyValGrad(self, shape, key_dtype, val_dtype, axis, is_stable):
rng = jtu.rand_default(self.rng())
# This test relies on the property that wherever keys are tied, values are
# too, since we don't guarantee the same ordering of values with equal keys.
# To avoid that case, we generate unique keys (globally in the key array).
def args_maker():
flat_keys = np.arange(prod(shape), dtype=key_dtype)
keys = self.rng().permutation(flat_keys).reshape(shape)
values = rng(shape, val_dtype)
return keys, values
keys, values = args_maker()
fun = lambda keys, values: lax.sort_key_val(keys, values, axis, is_stable)
check_grads(fun, (keys, values), 2, ["fwd", "rev"], 1e-2, 1e-2, 1e-2)
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name": "_shape={}_k={}".format(
jtu.format_shape_dtype_string(shape, dtype), k),
"shape": shape, "dtype": dtype, "k": k}
for dtype in [np.float32,]
for shape in [(4,), (5, 5), (2, 1, 4)]
for k in [1, 3]))
def testTopKGrad(self, shape, dtype, k):
flat_values = np.arange(prod(shape), dtype=dtype)
values = self.rng().permutation(flat_values).reshape(shape)
fun = lambda vs: lax.top_k(vs, k=k)[0]
check_grads(fun, (values,), 2, ["fwd", "rev"], eps=1e-2)
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name": "_shape={}_idxs={}_axes={}".format(
jtu.format_shape_dtype_string(shape, dtype), idxs, axes),
"shape": shape, "dtype": dtype, "idxs": idxs, "axes": axes}
for dtype in float_dtypes
for shape, idxs, axes in [
[(3, 4, 5), (np.array([0, 2, 1]),), (0,)],
[(3, 4, 5), (np.array([-1, -2]),), (0,)],
[(3, 4, 5), (np.array([0, 2]), np.array([1, 3])), (0, 1)],
[(3, 4, 5), (np.array([0, 2]), np.array([1, 3])), (0, 2)],
]))
@jax.numpy_rank_promotion('allow') # Test explicitly exercises implicit rank promotion.
def testIndexTakeGrad(self, shape, dtype, idxs, axes):
rng = jtu.rand_default(self.rng())
src = rng(shape, dtype)
index_take = lambda src: lax.index_take(src, idxs, axes)
check_grads(index_take, (src,), 2, ["fwd", "rev"], eps=1.)
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name":
f"_shape={jtu.format_shape_dtype_string(shape, dtype)}"
f"_idxs={jtu.format_shape_dtype_string(idxs.shape, idxs.dtype)}"
f"_dnums={dnums}_slice_sizes={slice_sizes}_mode={mode}"
f"_iteration={iteration}",
"shape": shape, "dtype": dtype, "idxs_shape": idxs.shape,
"idxs_dtype": idxs.dtype, "dnums": dnums, "slice_sizes": slice_sizes,
"max_idx": max_idx, "mode": mode}
for dtype in grad_float_dtypes
for shape, idxs, dnums, slice_sizes, max_idx in [
((5,), np.array([[0], [2]]), lax.GatherDimensionNumbers(
offset_dims=(), collapsed_slice_dims=(0,), start_index_map=(0,)),
(1,), 5),
((10,), np.array([[0], [0], [0]]), lax.GatherDimensionNumbers(
offset_dims=(1,), collapsed_slice_dims=(), start_index_map=(0,)),
(2,), 9),
((10, 5,), np.array([[0], [2], [1]]), lax.GatherDimensionNumbers(
offset_dims=(1,), collapsed_slice_dims=(0,), start_index_map=(0,)),
(1, 3), 3),
]
for mode in ["clip", "fill", "promise_in_bounds"]
for iteration in range(5)))
def testGatherGrad(self, shape, dtype, idxs_shape, idxs_dtype, dnums,
slice_sizes, mode, max_idx):
rng = jtu.rand_default(self.rng())
if mode == "promise_in_bounds":
rng_idx = jtu.rand_int(self.rng(), high=max_idx)
else:
# Only test out-of-bounds indices if using a mode that guarantees correct
# gradients for out-of-bounds indices.
rng_idx = jtu.rand_int(self.rng(), low=-max_idx, high=2 * max_idx)
idxs = rng_idx(idxs_shape, idxs_dtype)
# Use an arbitrary finite fill_value, since NaNs won't work in a numerical
# gradient test.
gather = lambda x: lax.gather(x, idxs, dimension_numbers=dnums,
slice_sizes=slice_sizes, mode=mode,
fill_value=-1)
x = rng(shape, dtype)
check_grads(gather, (x,), 2, ["fwd", "rev"], 1e-2, 1e-2, 1.)
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name":
f"_shape={jtu.format_shape_dtype_string(arg_shape, dtype)}"
f"_idxs={jtu.format_shape_dtype_string(idxs.shape, idxs.dtype)}"
f"_update={update_shape}_dnums={dnums}_mode={mode}"
f"_iteration={iteration}",
"arg_shape": arg_shape, "dtype": dtype, "idxs_shape": idxs.shape,
"idxs_dtype": idxs.dtype, "update_shape": update_shape, "dnums": dnums,
"max_idx": max_idx, "mode": mode}
for dtype in grad_float_dtypes
for arg_shape, idxs, update_shape, dnums, max_idx in [
((5,), np.array([[0], [2]]), (2,),
lax.ScatterDimensionNumbers(update_window_dims=(),
inserted_window_dims=(0,),
scatter_dims_to_operand_dims=(0,)), 4),
((10,), np.array([[0], [0], [0]]), (3, 2),
lax.ScatterDimensionNumbers(update_window_dims=(1,),
inserted_window_dims=(),
scatter_dims_to_operand_dims=(0,)), 9),
((10, 5,), np.array([[0], [2], [1]]), (3, 3),
lax.ScatterDimensionNumbers(update_window_dims=(1,),
inserted_window_dims=(0,),
scatter_dims_to_operand_dims=(0,)), 3),
]
for mode in ["clip", "fill", "promise_in_bounds"]
for iteration in range(5)))
def testScatterAddGrad(self, arg_shape, dtype, idxs_shape, idxs_dtype,
update_shape, dnums, max_idx, mode):
rng = jtu.rand_default(self.rng())
if mode == "promise_in_bounds":
rng_idx = jtu.rand_int(self.rng(), high=max_idx)
else:
# Only test out-of-bounds indices if using a mode that guarantees correct
# gradients for out-of-bounds indices.
rng_idx = jtu.rand_int(self.rng(), low=-max_idx, high=2 * max_idx)
idxs = rng_idx(idxs_shape, idxs_dtype)
scatter_add = lambda x, y: lax.scatter_add(
x, idxs, y, dimension_numbers=dnums, mode=mode)
x = rng(arg_shape, dtype)
y = rng(update_shape, dtype)
check_grads(scatter_add, (x, y), 2, ["fwd", "rev"], 1e-2, 1e-2, 1.)
@parameterized.named_parameters(jtu.cases_from_list(
{"testcase_name": "_shape={}_idxs={}_update={}_dnums={}".format(
jtu.format_shape_dtype_string(arg_shape, dtype),
idxs, update_shape, dnums),
"arg_shape": arg_shape, "dtype": dtype, "idxs": idxs,