Vectorize arange (#38697)
Summary:
Pull Request resolved: https://github.com/pytorch/pytorch/pull/38697
Benchmark (gcc 8.3, Debian Buster, turbo off, Release build, Intel(R)
Xeon(R) E-2136, Parallelization using OpenMP):
```python
import timeit
for dtype in ('torch.double', 'torch.float', 'torch.uint8', 'torch.int8', 'torch.int16', 'torch.int32', 'torch.int64'):
for n, t in [(40_000, 50000),
(400_000, 5000)]:
print(f'torch.arange(0, {n}, dtype={dtype}) for {t} times')
print(timeit.timeit(f'torch.arange(0, {n}, dtype={dtype})', setup=f'import torch', number=t))
```
Before:
```
torch.arange(0, 40000, dtype=torch.double) for 50000 times
1.587841397995362
torch.arange(0, 400000, dtype=torch.double) for 5000 times
0.47885190199303906
torch.arange(0, 40000, dtype=torch.float) for 50000 times
1.5519152240012772
torch.arange(0, 400000, dtype=torch.float) for 5000 times
0.4733216500026174
torch.arange(0, 40000, dtype=torch.uint8) for 50000 times
1.426058754004771
torch.arange(0, 400000, dtype=torch.uint8) for 5000 times
0.43596178699226584
torch.arange(0, 40000, dtype=torch.int8) for 50000 times
1.4289699140063021
torch.arange(0, 400000, dtype=torch.int8) for 5000 times
0.43451592899509706
torch.arange(0, 40000, dtype=torch.int16) for 50000 times
0.5714442400058033
torch.arange(0, 400000, dtype=torch.int16) for 5000 times
0.14837959500437137
torch.arange(0, 40000, dtype=torch.int32) for 50000 times
0.5964003179979045
torch.arange(0, 400000, dtype=torch.int32) for 5000 times
0.15676555599202402
torch.arange(0, 40000, dtype=torch.int64) for 50000 times
0.8390555799996946
torch.arange(0, 400000, dtype=torch.int64) for 5000 times
0.23184613398916554
```
After:
```
torch.arange(0, 40000, dtype=torch.double) for 50000 times
0.6895066159922862
torch.arange(0, 400000, dtype=torch.double) for 5000 times
0.16820953000569716
torch.arange(0, 40000, dtype=torch.float) for 50000 times
1.3640095089940587
torch.arange(0, 400000, dtype=torch.float) for 5000 times
0.39255041000433266
torch.arange(0, 40000, dtype=torch.uint8) for 50000 times
0.3422072059911443
torch.arange(0, 400000, dtype=torch.uint8) for 5000 times
0.0605111670010956
torch.arange(0, 40000, dtype=torch.int8) for 50000 times
0.3449254590086639
torch.arange(0, 400000, dtype=torch.int8) for 5000 times
0.06115841199061833
torch.arange(0, 40000, dtype=torch.int16) for 50000 times
0.7745441729930462
torch.arange(0, 400000, dtype=torch.int16) for 5000 times
0.22106765500211623
torch.arange(0, 40000, dtype=torch.int32) for 50000 times
0.720475220005028
torch.arange(0, 400000, dtype=torch.int32) for 5000 times
0.20230313099455088
torch.arange(0, 40000, dtype=torch.int64) for 50000 times
0.8144655400101328
torch.arange(0, 400000, dtype=torch.int64) for 5000 times
0.23762561299372464
```
Test Plan: Imported from OSS
Reviewed By: ezyang
Differential Revision: D22291236
Pulled By: VitalyFedyunin
fbshipit-source-id: 134dd08b77b11e631d914b5500ee4285b5d0591e