Complex gradcheck logic (#43208)
Summary:
Pull Request resolved: https://github.com/pytorch/pytorch/pull/43208
This PR adds gradcheck for complex. The logic used for complex gradcheck is described in Section 3.5.3 here: https://arxiv.org/pdf/1701.00392.pdf
More concretely, this PR introduces the following changes:
1. Updates get_numerical_jacobian to take as input a scalar value for vector (v). Adds gradcheck logic for C -> C, C-> R, R -> C. For R -> C functions, only the real value of gradient is propagated.
2. Adds backward definition for `torch.complex` and also adds a test to verify the definition added.
3. Updates backward for `mul`, `sin`, `cos`, `sinh`, `cosh`.
4. Adds tests for all `torch.real`, `torch.imag`, `torch.view_as_real`, `torch.view_as_complex`, `torch.conj`.
Follow up tasks:
1. Add more thorough tests for R -> C cases. Specifically, add R->C test variants for functions. for e.g., `torch.mul(complex_tensor, real_tensor)`
2. Add back commented test in `common_methods_invocation.py`.
3. Add more special case checking for complex gradcheck to make debugging easier.
4. Update complex autograd note.
5. disable complex autograd for operators not tested for complex.
Test Plan: Imported from OSS
Reviewed By: zou3519
Differential Revision: D23655088
Pulled By: anjali411
fbshipit-source-id: caa75e09864b5f6ead0f988f6368dce64cf15deb
