Dan Foreman-Mackey 8361eb58e1 Activate the FFI implementation of SVD on GPU.
Alongside activating this new implementation, this change adds a new `algorithm` parameter to `jax.lax.svd`. Previously the choice of algorithm was made based on heuristics in the lowering rule, but it probably also makes sense to expose an option for users to specify the algorithm explicitly because our heuristics are not very carefully optimized.

This change updates the implementation of SVD in `lax` to use the FFI version which was added to jaxlib in https://github.com/jax-ml/jax/pull/23794. This comes with a few benefits:

1. When running on a CUDA platform, the 64-bit API will be used for the algorithm based on QR decomposition. (Note that it looks like the 64-bit API isn't available on ROCm.) This addresses part of the feature request in https://github.com/jax-ml/jax/issues/23413, although there's still work to do to port the rest of the GPU calls to the 64-bit API.

2. This implementation supports shape polymorphism in all dimensions with some caveats. By default, we do use some heuristics to based on the matrix sizes to select the algorithm that is used, and the three different algorithms (QR, Jacobi, and batched Jacobi) have sufficiently different behavior (QR returns V^H, whereas Jacobi returns V; batched Jacobi doesn't support `full_matrices=False`) that I couldn't work out a simple way to push this logic into the kernel. If the symbolic constraints are not sufficient to concretely determine the heuristics, we always use the QR algorithm. But, I've also exposed the algorithm selection in the user API, so it's possible to bypass the heuristics and get consistent behavior alongside shape polymorphism if needed.

Besides these core changes, I removed the forward compatibility checks from the CPU lowering, since we're well outside of the forward compatibility window now.

PiperOrigin-RevId: 687106965
2024-10-17 17:57:06 -07:00
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2024-10-10 08:07:35 -07:00