Enable aten::fft_c2r

[CuiYifeng]

Enable aten::fft_c2r with Hermitian Symmetry fixing for DFTI_CONJUGATE_EVEN_STORAGE.

[dvrogozh]

There is #1469 which was submitted earlier by @Wetitpig which has also fft_r2c implemented it seems. Which PR should actually be reviewed?

[CuiYifeng]

There is #1469 which was submitted earlier by @Wetitpig which has also fft_r2c implemented it seems. Which PR should actually be reviewed?

Please review this PR, which contains a fixing for Hermitian Symmetry. There are some failed cases with my old branches.
I will create another PR for aten::fft_r2c recently.
Glad to see the fix of normalization in #1469.

[Wetitpig]

There is #1469 which was submitted earlier by @Wetitpig which has also fft_r2c implemented it seems. Which PR should actually be reviewed?

Please review this PR, which contains a fixing for Hermitian Symmetry. There are some failed cases with my old branches. I will create another PR for aten::fft_r2c recently. Glad to see the fix of normalization in #1469.

Would you mind specifically mentioning which edge cases they failed? This version of HermitSymm looks like using much more other pytorch methods, which may hinder performance.
Thank you

[CuiYifeng]

There is #1469 which was submitted earlier by @Wetitpig which has also fft_r2c implemented it seems. Which PR should actually be reviewed?

Please review this PR, which contains a fixing for Hermitian Symmetry. There are some failed cases with my old branches. I will create another PR for aten::fft_r2c recently. Glad to see the fix of normalization in #1469.

Would you mind specifically mentioning which edge cases they failed? This version of HermitSymm looks like using much more other pytorch methods, which may hinder performance. Thank you

@Wetitpig For example, test_reference_1d_fft_irfft_xpu_complex64 and test_reference_nd_fft_irfftn_xpu_complex64. You can get the total failed list with pytest -sv test/xpu/test_spectral_ops_xpu.py.
I understand your concern about the performance of HermitSymm. Functionality first, HermitSymm with small ATen Ops plan to be optimized in another PR.