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Previously we had no way to tell XLA that inputs and outputs of GPU custom calls must alias. This now works in XLA:GPU so we can just ask XLA to enforce the aliasing we need. This seems to be causing some test failures downstream, so reverting this for the moment until I can debug them. PiperOrigin-RevId: 479670565
956 lines
35 KiB
C++
956 lines
35 KiB
C++
/* Copyright 2019 The JAX Authors.
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Licensed under the Apache License, Version 2.0 (the "License");
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you may not use this file except in compliance with the License.
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You may obtain a copy of the License at
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http://www.apache.org/licenses/LICENSE-2.0
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Unless required by applicable law or agreed to in writing, software
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distributed under the License is distributed on an "AS IS" BASIS,
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WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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See the License for the specific language governing permissions and
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limitations under the License.
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==============================================================================*/
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#include "jaxlib/cuda/cusolver_kernels.h"
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#include <algorithm>
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#include <cstdint>
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#include <stdexcept>
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#include <utility>
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#include <vector>
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#include "absl/status/status.h"
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#include "absl/status/statusor.h"
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#include "absl/synchronization/mutex.h"
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#include "third_party/gpus/cuda/include/cuda.h"
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#include "third_party/gpus/cuda/include/cuda_runtime_api.h"
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#include "third_party/gpus/cuda/include/cusolverDn.h"
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#include "third_party/gpus/cuda/include/cusolverSp.h"
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#include "jaxlib/cuda/cuda_gpu_kernel_helpers.h"
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#include "jaxlib/handle_pool.h"
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#include "jaxlib/kernel_helpers.h"
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#include "tensorflow/compiler/xla/service/custom_call_status.h"
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namespace jax {
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template <>
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/*static*/ absl::StatusOr<SolverHandlePool::Handle> SolverHandlePool::Borrow(
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cudaStream_t stream) {
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SolverHandlePool* pool = Instance();
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absl::MutexLock lock(&pool->mu_);
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cusolverDnHandle_t handle;
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if (pool->handles_[stream].empty()) {
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnCreate(&handle)));
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} else {
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handle = pool->handles_[stream].back();
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pool->handles_[stream].pop_back();
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}
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if (stream) {
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnSetStream(handle, stream)));
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}
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return Handle(pool, handle, stream);
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}
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template <>
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/*static*/ absl::StatusOr<SpSolverHandlePool::Handle>
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SpSolverHandlePool::Borrow(cudaStream_t stream) {
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SpSolverHandlePool* pool = Instance();
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absl::MutexLock lock(&pool->mu_);
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cusolverSpHandle_t handle;
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if (pool->handles_[stream].empty()) {
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverSpCreate(&handle)));
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} else {
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handle = pool->handles_[stream].back();
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pool->handles_[stream].pop_back();
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}
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if (stream) {
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverSpSetStream(handle, stream)));
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}
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return Handle(pool, handle, stream);
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}
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static int SizeOfCusolverType(CusolverType type) {
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switch (type) {
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case CusolverType::F32:
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return sizeof(float);
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case CusolverType::F64:
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return sizeof(double);
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case CusolverType::C64:
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return sizeof(cuComplex);
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case CusolverType::C128:
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return sizeof(cuDoubleComplex);
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}
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}
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// potrf: Cholesky decomposition
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static absl::Status Potrf_(cudaStream_t stream, void** buffers,
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const char* opaque, size_t opaque_len) {
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auto s = UnpackDescriptor<PotrfDescriptor>(opaque, opaque_len);
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JAX_RETURN_IF_ERROR(s.status());
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const PotrfDescriptor& d = **s;
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auto h = SolverHandlePool::Borrow(stream);
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JAX_RETURN_IF_ERROR(h.status());
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auto& handle = *h;
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if (buffers[1] != buffers[0]) {
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(
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cudaMemcpyAsync(buffers[1], buffers[0],
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SizeOfCusolverType(d.type) * d.batch * d.n * d.n,
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cudaMemcpyDeviceToDevice, stream)));
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}
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int* info = static_cast<int*>(buffers[2]);
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void* workspace = buffers[3];
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if (d.batch == 1) {
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switch (d.type) {
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case CusolverType::F32: {
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float* a = static_cast<float*>(buffers[1]);
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(
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cusolverDnSpotrf(handle.get(), d.uplo, d.n, a, d.n,
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static_cast<float*>(workspace), d.lwork, info)));
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break;
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}
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case CusolverType::F64: {
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double* a = static_cast<double*>(buffers[1]);
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(
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cusolverDnDpotrf(handle.get(), d.uplo, d.n, a, d.n,
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static_cast<double*>(workspace), d.lwork, info)));
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break;
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}
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case CusolverType::C64: {
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cuComplex* a = static_cast<cuComplex*>(buffers[1]);
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnCpotrf(
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handle.get(), d.uplo, d.n, a, d.n,
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static_cast<cuComplex*>(workspace), d.lwork, info)));
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break;
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}
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case CusolverType::C128: {
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cuDoubleComplex* a = static_cast<cuDoubleComplex*>(buffers[1]);
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnZpotrf(
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handle.get(), d.uplo, d.n, a, d.n,
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static_cast<cuDoubleComplex*>(workspace), d.lwork, info)));
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break;
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}
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}
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} else {
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auto buffer_ptrs_host =
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MakeBatchPointers(stream, buffers[1], workspace, d.batch,
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SizeOfCusolverType(d.type) * d.n * d.n);
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JAX_RETURN_IF_ERROR(buffer_ptrs_host.status());
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// Make sure that accesses to buffer_ptrs_host complete before we delete it.
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// TODO(phawkins): avoid synchronization here.
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cudaStreamSynchronize(stream)));
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switch (d.type) {
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case CusolverType::F32: {
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnSpotrfBatched(
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handle.get(), d.uplo, d.n, static_cast<float**>(workspace), d.n,
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info, d.batch)));
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break;
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}
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case CusolverType::F64: {
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnDpotrfBatched(
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handle.get(), d.uplo, d.n, static_cast<double**>(workspace), d.n,
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info, d.batch)));
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break;
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}
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case CusolverType::C64: {
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnCpotrfBatched(
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handle.get(), d.uplo, d.n, static_cast<cuComplex**>(workspace), d.n,
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info, d.batch)));
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break;
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}
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case CusolverType::C128: {
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnZpotrfBatched(
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handle.get(), d.uplo, d.n,
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static_cast<cuDoubleComplex**>(workspace), d.n, info, d.batch)));
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break;
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}
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}
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}
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return absl::OkStatus();
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}
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void Potrf(cudaStream_t stream, void** buffers, const char* opaque,
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size_t opaque_len, XlaCustomCallStatus* status) {
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auto s = Potrf_(stream, buffers, opaque, opaque_len);
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if (!s.ok()) {
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XlaCustomCallStatusSetFailure(status, std::string(s.message()).c_str(),
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s.message().length());
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}
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}
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// getrf: LU decomposition
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static absl::Status Getrf_(cudaStream_t stream, void** buffers,
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const char* opaque, size_t opaque_len) {
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auto s = UnpackDescriptor<GetrfDescriptor>(opaque, opaque_len);
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JAX_RETURN_IF_ERROR(s.status());
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const GetrfDescriptor& d = **s;
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auto h = SolverHandlePool::Borrow(stream);
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JAX_RETURN_IF_ERROR(h.status());
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auto& handle = *h;
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if (buffers[1] != buffers[0]) {
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cudaMemcpyAsync(
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buffers[1], buffers[0],
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SizeOfCusolverType(d.type) * static_cast<std::int64_t>(d.batch) *
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static_cast<std::int64_t>(d.m) * static_cast<std::int64_t>(d.n),
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cudaMemcpyDeviceToDevice, stream)));
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}
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int* ipiv = static_cast<int*>(buffers[2]);
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int* info = static_cast<int*>(buffers[3]);
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void* workspace = buffers[4];
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switch (d.type) {
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case CusolverType::F32: {
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float* a = static_cast<float*>(buffers[1]);
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for (int i = 0; i < d.batch; ++i) {
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(
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cusolverDnSgetrf(handle.get(), d.m, d.n, a, d.m,
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static_cast<float*>(workspace), ipiv, info)));
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a += d.m * d.n;
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ipiv += std::min(d.m, d.n);
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++info;
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}
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break;
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}
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case CusolverType::F64: {
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double* a = static_cast<double*>(buffers[1]);
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for (int i = 0; i < d.batch; ++i) {
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(
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cusolverDnDgetrf(handle.get(), d.m, d.n, a, d.m,
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static_cast<double*>(workspace), ipiv, info)));
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a += d.m * d.n;
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ipiv += std::min(d.m, d.n);
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++info;
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}
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break;
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}
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case CusolverType::C64: {
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cuComplex* a = static_cast<cuComplex*>(buffers[1]);
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for (int i = 0; i < d.batch; ++i) {
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(
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cusolverDnCgetrf(handle.get(), d.m, d.n, a, d.m,
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static_cast<cuComplex*>(workspace), ipiv, info)));
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a += d.m * d.n;
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ipiv += std::min(d.m, d.n);
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++info;
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}
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break;
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}
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case CusolverType::C128: {
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cuDoubleComplex* a = static_cast<cuDoubleComplex*>(buffers[1]);
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for (int i = 0; i < d.batch; ++i) {
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnZgetrf(
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handle.get(), d.m, d.n, a, d.m,
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static_cast<cuDoubleComplex*>(workspace), ipiv, info)));
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a += d.m * d.n;
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ipiv += std::min(d.m, d.n);
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++info;
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}
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break;
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}
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}
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return absl::OkStatus();
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}
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void Getrf(cudaStream_t stream, void** buffers, const char* opaque,
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size_t opaque_len, XlaCustomCallStatus* status) {
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auto s = Getrf_(stream, buffers, opaque, opaque_len);
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if (!s.ok()) {
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XlaCustomCallStatusSetFailure(status, std::string(s.message()).c_str(),
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s.message().length());
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}
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}
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// geqrf: QR decomposition
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static absl::Status Geqrf_(cudaStream_t stream, void** buffers,
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const char* opaque, size_t opaque_len) {
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auto s = UnpackDescriptor<GeqrfDescriptor>(opaque, opaque_len);
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JAX_RETURN_IF_ERROR(s.status());
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const GeqrfDescriptor& d = **s;
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auto h = SolverHandlePool::Borrow(stream);
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JAX_RETURN_IF_ERROR(h.status());
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auto& handle = *h;
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if (buffers[1] != buffers[0]) {
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cudaMemcpyAsync(
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buffers[1], buffers[0],
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SizeOfCusolverType(d.type) * static_cast<std::int64_t>(d.batch) *
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static_cast<std::int64_t>(d.m) * static_cast<std::int64_t>(d.n),
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cudaMemcpyDeviceToDevice, stream)));
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}
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int* info = static_cast<int*>(buffers[3]);
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void* workspace = buffers[4];
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switch (d.type) {
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case CusolverType::F32: {
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float* a = static_cast<float*>(buffers[1]);
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float* tau = static_cast<float*>(buffers[2]);
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for (int i = 0; i < d.batch; ++i) {
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(
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cusolverDnSgeqrf(handle.get(), d.m, d.n, a, d.m, tau,
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static_cast<float*>(workspace), d.lwork, info)));
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a += d.m * d.n;
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tau += std::min(d.m, d.n);
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++info;
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}
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break;
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}
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case CusolverType::F64: {
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double* a = static_cast<double*>(buffers[1]);
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double* tau = static_cast<double*>(buffers[2]);
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for (int i = 0; i < d.batch; ++i) {
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(
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cusolverDnDgeqrf(handle.get(), d.m, d.n, a, d.m, tau,
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static_cast<double*>(workspace), d.lwork, info)));
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a += d.m * d.n;
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tau += std::min(d.m, d.n);
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++info;
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}
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break;
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}
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case CusolverType::C64: {
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cuComplex* a = static_cast<cuComplex*>(buffers[1]);
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cuComplex* tau = static_cast<cuComplex*>(buffers[2]);
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for (int i = 0; i < d.batch; ++i) {
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnCgeqrf(
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handle.get(), d.m, d.n, a, d.m, tau,
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static_cast<cuComplex*>(workspace), d.lwork, info)));
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a += d.m * d.n;
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tau += std::min(d.m, d.n);
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++info;
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}
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break;
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}
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case CusolverType::C128: {
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cuDoubleComplex* a = static_cast<cuDoubleComplex*>(buffers[1]);
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cuDoubleComplex* tau = static_cast<cuDoubleComplex*>(buffers[2]);
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for (int i = 0; i < d.batch; ++i) {
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnZgeqrf(
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handle.get(), d.m, d.n, a, d.m, tau,
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static_cast<cuDoubleComplex*>(workspace), d.lwork, info)));
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a += d.m * d.n;
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tau += std::min(d.m, d.n);
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++info;
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}
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break;
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}
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}
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return absl::OkStatus();
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}
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void Geqrf(cudaStream_t stream, void** buffers, const char* opaque,
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size_t opaque_len, XlaCustomCallStatus* status) {
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auto s = Geqrf_(stream, buffers, opaque, opaque_len);
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if (!s.ok()) {
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XlaCustomCallStatusSetFailure(status, std::string(s.message()).c_str(),
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s.message().length());
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}
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}
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// csrlsvqr: Linear system solve via Sparse QR
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static absl::Status Csrlsvqr_(cudaStream_t stream, void** buffers,
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const char* opaque, size_t opaque_len,
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int& singularity) {
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auto s = UnpackDescriptor<CsrlsvqrDescriptor>(opaque, opaque_len);
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JAX_RETURN_IF_ERROR(s.status());
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const CsrlsvqrDescriptor& d = **s;
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// This is the handle to the CUDA session. Gets a cusolverSp handle.
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auto h = SpSolverHandlePool::Borrow(stream);
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JAX_RETURN_IF_ERROR(h.status());
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auto& handle = *h;
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cusparseMatDescr_t matdesc = nullptr;
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusparseCreateMatDescr(&matdesc)));
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JAX_RETURN_IF_ERROR(
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JAX_AS_STATUS(cusparseSetMatType(matdesc, CUSPARSE_MATRIX_TYPE_GENERAL)));
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(
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cusparseSetMatIndexBase(matdesc, CUSPARSE_INDEX_BASE_ZERO)));
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switch (d.type) {
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case CusolverType::F32: {
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float* csrValA = static_cast<float*>(buffers[0]);
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int* csrRowPtrA = static_cast<int*>(buffers[1]);
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int* csrColIndA = static_cast<int*>(buffers[2]);
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float* b = static_cast<float*>(buffers[3]);
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float* x = static_cast<float*>(buffers[4]);
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverSpScsrlsvqr(
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handle.get(), d.n, d.nnz, matdesc, csrValA, csrRowPtrA, csrColIndA,
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b, (float)d.tol, d.reorder, x, &singularity)));
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break;
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}
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case CusolverType::F64: {
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double* csrValA = static_cast<double*>(buffers[0]);
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int* csrRowPtrA = static_cast<int*>(buffers[1]);
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int* csrColIndA = static_cast<int*>(buffers[2]);
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double* b = static_cast<double*>(buffers[3]);
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double* x = static_cast<double*>(buffers[4]);
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverSpDcsrlsvqr(
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handle.get(), d.n, d.nnz, matdesc, csrValA, csrRowPtrA, csrColIndA,
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b, d.tol, d.reorder, x, &singularity)));
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break;
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}
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case CusolverType::C64: {
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cuComplex* csrValA = static_cast<cuComplex*>(buffers[0]);
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int* csrRowPtrA = static_cast<int*>(buffers[1]);
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int* csrColIndA = static_cast<int*>(buffers[2]);
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cuComplex* b = static_cast<cuComplex*>(buffers[3]);
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cuComplex* x = static_cast<cuComplex*>(buffers[4]);
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverSpCcsrlsvqr(
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handle.get(), d.n, d.nnz, matdesc, csrValA, csrRowPtrA, csrColIndA,
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b, (float)d.tol, d.reorder, x, &singularity)));
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break;
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}
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case CusolverType::C128: {
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cuDoubleComplex* csrValA = static_cast<cuDoubleComplex*>(buffers[0]);
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int* csrRowPtrA = static_cast<int*>(buffers[1]);
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int* csrColIndA = static_cast<int*>(buffers[2]);
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cuDoubleComplex* b = static_cast<cuDoubleComplex*>(buffers[3]);
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cuDoubleComplex* x = static_cast<cuDoubleComplex*>(buffers[4]);
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JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverSpZcsrlsvqr(
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handle.get(), d.n, d.nnz, matdesc, csrValA, csrRowPtrA, csrColIndA,
|
|
b, (float)d.tol, d.reorder, x, &singularity)));
|
|
|
|
break;
|
|
}
|
|
}
|
|
|
|
cusparseDestroyMatDescr(matdesc);
|
|
return absl::OkStatus();
|
|
}
|
|
|
|
void Csrlsvqr(cudaStream_t stream, void** buffers, const char* opaque,
|
|
size_t opaque_len, XlaCustomCallStatus* status) {
|
|
// Is >= 0 if A is singular.
|
|
int singularity = -1;
|
|
|
|
auto s = Csrlsvqr_(stream, buffers, opaque, opaque_len, singularity);
|
|
if (!s.ok()) {
|
|
XlaCustomCallStatusSetFailure(status, std::string(s.message()).c_str(),
|
|
s.message().length());
|
|
}
|
|
|
|
if (singularity >= 0) {
|
|
auto s = std::string("Singular matrix in linear solve.");
|
|
XlaCustomCallStatusSetFailure(status, s.c_str(), s.length());
|
|
}
|
|
}
|
|
|
|
// orgqr/ungqr: apply elementary Householder transformations
|
|
|
|
static absl::Status Orgqr_(cudaStream_t stream, void** buffers,
|
|
const char* opaque, size_t opaque_len) {
|
|
auto s = UnpackDescriptor<OrgqrDescriptor>(opaque, opaque_len);
|
|
JAX_RETURN_IF_ERROR(s.status());
|
|
const OrgqrDescriptor& d = **s;
|
|
auto h = SolverHandlePool::Borrow(stream);
|
|
JAX_RETURN_IF_ERROR(h.status());
|
|
auto& handle = *h;
|
|
if (buffers[2] != buffers[0]) {
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cudaMemcpyAsync(
|
|
buffers[2], buffers[0],
|
|
SizeOfCusolverType(d.type) * static_cast<std::int64_t>(d.batch) *
|
|
static_cast<std::int64_t>(d.m) * static_cast<std::int64_t>(d.n),
|
|
cudaMemcpyDeviceToDevice, stream)));
|
|
}
|
|
|
|
int* info = static_cast<int*>(buffers[3]);
|
|
void* workspace = buffers[4];
|
|
switch (d.type) {
|
|
case CusolverType::F32: {
|
|
float* a = static_cast<float*>(buffers[2]);
|
|
float* tau = static_cast<float*>(buffers[1]);
|
|
for (int i = 0; i < d.batch; ++i) {
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(
|
|
cusolverDnSorgqr(handle.get(), d.m, d.n, d.k, a, d.m, tau,
|
|
static_cast<float*>(workspace), d.lwork, info)));
|
|
a += d.m * d.n;
|
|
tau += d.k;
|
|
++info;
|
|
}
|
|
break;
|
|
}
|
|
case CusolverType::F64: {
|
|
double* a = static_cast<double*>(buffers[2]);
|
|
double* tau = static_cast<double*>(buffers[1]);
|
|
for (int i = 0; i < d.batch; ++i) {
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(
|
|
cusolverDnDorgqr(handle.get(), d.m, d.n, d.k, a, d.m, tau,
|
|
static_cast<double*>(workspace), d.lwork, info)));
|
|
a += d.m * d.n;
|
|
tau += d.k;
|
|
++info;
|
|
}
|
|
break;
|
|
}
|
|
case CusolverType::C64: {
|
|
cuComplex* a = static_cast<cuComplex*>(buffers[2]);
|
|
cuComplex* tau = static_cast<cuComplex*>(buffers[1]);
|
|
for (int i = 0; i < d.batch; ++i) {
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnCungqr(
|
|
handle.get(), d.m, d.n, d.k, a, d.m, tau,
|
|
static_cast<cuComplex*>(workspace), d.lwork, info)));
|
|
a += d.m * d.n;
|
|
tau += d.k;
|
|
++info;
|
|
}
|
|
break;
|
|
}
|
|
case CusolverType::C128: {
|
|
cuDoubleComplex* a = static_cast<cuDoubleComplex*>(buffers[2]);
|
|
cuDoubleComplex* tau = static_cast<cuDoubleComplex*>(buffers[1]);
|
|
for (int i = 0; i < d.batch; ++i) {
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnZungqr(
|
|
handle.get(), d.m, d.n, d.k, a, d.m, tau,
|
|
static_cast<cuDoubleComplex*>(workspace), d.lwork, info)));
|
|
a += d.m * d.n;
|
|
tau += d.k;
|
|
++info;
|
|
}
|
|
break;
|
|
}
|
|
}
|
|
return absl::OkStatus();
|
|
}
|
|
|
|
void Orgqr(cudaStream_t stream, void** buffers, const char* opaque,
|
|
size_t opaque_len, XlaCustomCallStatus* status) {
|
|
auto s = Orgqr_(stream, buffers, opaque, opaque_len);
|
|
if (!s.ok()) {
|
|
XlaCustomCallStatusSetFailure(status, std::string(s.message()).c_str(),
|
|
s.message().length());
|
|
}
|
|
}
|
|
|
|
// Symmetric (Hermitian) eigendecomposition, QR algorithm: syevd/heevd
|
|
|
|
static absl::Status Syevd_(cudaStream_t stream, void** buffers,
|
|
const char* opaque, size_t opaque_len) {
|
|
auto s = UnpackDescriptor<SyevdDescriptor>(opaque, opaque_len);
|
|
JAX_RETURN_IF_ERROR(s.status());
|
|
const SyevdDescriptor& d = **s;
|
|
auto h = SolverHandlePool::Borrow(stream);
|
|
JAX_RETURN_IF_ERROR(h.status());
|
|
auto& handle = *h;
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cudaMemcpyAsync(
|
|
buffers[1], buffers[0],
|
|
SizeOfCusolverType(d.type) * static_cast<std::int64_t>(d.batch) *
|
|
static_cast<std::int64_t>(d.n) * static_cast<std::int64_t>(d.n),
|
|
cudaMemcpyDeviceToDevice, stream)));
|
|
cusolverEigMode_t jobz = CUSOLVER_EIG_MODE_VECTOR;
|
|
int* info = static_cast<int*>(buffers[3]);
|
|
void* work = buffers[4];
|
|
switch (d.type) {
|
|
case CusolverType::F32: {
|
|
float* a = static_cast<float*>(buffers[1]);
|
|
float* w = static_cast<float*>(buffers[2]);
|
|
for (int i = 0; i < d.batch; ++i) {
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(
|
|
cusolverDnSsyevd(handle.get(), jobz, d.uplo, d.n, a, d.n, w,
|
|
static_cast<float*>(work), d.lwork, info)));
|
|
a += d.n * d.n;
|
|
w += d.n;
|
|
++info;
|
|
}
|
|
break;
|
|
}
|
|
case CusolverType::F64: {
|
|
double* a = static_cast<double*>(buffers[1]);
|
|
double* w = static_cast<double*>(buffers[2]);
|
|
for (int i = 0; i < d.batch; ++i) {
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(
|
|
cusolverDnDsyevd(handle.get(), jobz, d.uplo, d.n, a, d.n, w,
|
|
static_cast<double*>(work), d.lwork, info)));
|
|
a += d.n * d.n;
|
|
w += d.n;
|
|
++info;
|
|
}
|
|
break;
|
|
}
|
|
case CusolverType::C64: {
|
|
cuComplex* a = static_cast<cuComplex*>(buffers[1]);
|
|
float* w = static_cast<float*>(buffers[2]);
|
|
for (int i = 0; i < d.batch; ++i) {
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(
|
|
cusolverDnCheevd(handle.get(), jobz, d.uplo, d.n, a, d.n, w,
|
|
static_cast<cuComplex*>(work), d.lwork, info)));
|
|
a += d.n * d.n;
|
|
w += d.n;
|
|
++info;
|
|
}
|
|
break;
|
|
}
|
|
case CusolverType::C128: {
|
|
cuDoubleComplex* a = static_cast<cuDoubleComplex*>(buffers[1]);
|
|
double* w = static_cast<double*>(buffers[2]);
|
|
for (int i = 0; i < d.batch; ++i) {
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnZheevd(
|
|
handle.get(), jobz, d.uplo, d.n, a, d.n, w,
|
|
static_cast<cuDoubleComplex*>(work), d.lwork, info)));
|
|
a += d.n * d.n;
|
|
w += d.n;
|
|
++info;
|
|
}
|
|
break;
|
|
}
|
|
}
|
|
return absl::OkStatus();
|
|
}
|
|
|
|
void Syevd(cudaStream_t stream, void** buffers, const char* opaque,
|
|
size_t opaque_len, XlaCustomCallStatus* status) {
|
|
auto s = Syevd_(stream, buffers, opaque, opaque_len);
|
|
if (!s.ok()) {
|
|
XlaCustomCallStatusSetFailure(status, std::string(s.message()).c_str(),
|
|
s.message().length());
|
|
}
|
|
}
|
|
|
|
// Symmetric (Hermitian) eigendecomposition, Jacobi algorithm: syevj/heevj
|
|
// Supports batches of matrices up to size 32.
|
|
|
|
absl::Status Syevj_(cudaStream_t stream, void** buffers, const char* opaque,
|
|
size_t opaque_len) {
|
|
auto s = UnpackDescriptor<SyevjDescriptor>(opaque, opaque_len);
|
|
JAX_RETURN_IF_ERROR(s.status());
|
|
const SyevjDescriptor& d = **s;
|
|
auto h = SolverHandlePool::Borrow(stream);
|
|
JAX_RETURN_IF_ERROR(h.status());
|
|
auto& handle = *h;
|
|
if (buffers[1] != buffers[0]) {
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cudaMemcpyAsync(
|
|
buffers[1], buffers[0],
|
|
SizeOfCusolverType(d.type) * static_cast<std::int64_t>(d.batch) *
|
|
static_cast<std::int64_t>(d.n) * static_cast<std::int64_t>(d.n),
|
|
cudaMemcpyDeviceToDevice, stream)));
|
|
}
|
|
syevjInfo_t params;
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnCreateSyevjInfo(¶ms)));
|
|
std::unique_ptr<syevjInfo, void (*)(syevjInfo*)> params_cleanup(
|
|
params, [](syevjInfo* p) { cusolverDnDestroySyevjInfo(p); });
|
|
|
|
cusolverEigMode_t jobz = CUSOLVER_EIG_MODE_VECTOR;
|
|
int* info = static_cast<int*>(buffers[3]);
|
|
void* work = buffers[4];
|
|
if (d.batch == 1) {
|
|
switch (d.type) {
|
|
case CusolverType::F32: {
|
|
float* a = static_cast<float*>(buffers[1]);
|
|
float* w = static_cast<float*>(buffers[2]);
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnSsyevj(
|
|
handle.get(), jobz, d.uplo, d.n, a, d.n, w,
|
|
static_cast<float*>(work), d.lwork, info, params)));
|
|
break;
|
|
}
|
|
case CusolverType::F64: {
|
|
double* a = static_cast<double*>(buffers[1]);
|
|
double* w = static_cast<double*>(buffers[2]);
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnDsyevj(
|
|
handle.get(), jobz, d.uplo, d.n, a, d.n, w,
|
|
static_cast<double*>(work), d.lwork, info, params)));
|
|
break;
|
|
}
|
|
case CusolverType::C64: {
|
|
cuComplex* a = static_cast<cuComplex*>(buffers[1]);
|
|
float* w = static_cast<float*>(buffers[2]);
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnCheevj(
|
|
handle.get(), jobz, d.uplo, d.n, a, d.n, w,
|
|
static_cast<cuComplex*>(work), d.lwork, info, params)));
|
|
break;
|
|
}
|
|
case CusolverType::C128: {
|
|
cuDoubleComplex* a = static_cast<cuDoubleComplex*>(buffers[1]);
|
|
double* w = static_cast<double*>(buffers[2]);
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnZheevj(
|
|
handle.get(), jobz, d.uplo, d.n, a, d.n, w,
|
|
static_cast<cuDoubleComplex*>(work), d.lwork, info, params)));
|
|
break;
|
|
}
|
|
}
|
|
} else {
|
|
switch (d.type) {
|
|
case CusolverType::F32: {
|
|
float* a = static_cast<float*>(buffers[1]);
|
|
float* w = static_cast<float*>(buffers[2]);
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnSsyevjBatched(
|
|
handle.get(), jobz, d.uplo, d.n, a, d.n, w,
|
|
static_cast<float*>(work), d.lwork, info, params, d.batch)));
|
|
break;
|
|
}
|
|
case CusolverType::F64: {
|
|
double* a = static_cast<double*>(buffers[1]);
|
|
double* w = static_cast<double*>(buffers[2]);
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnDsyevjBatched(
|
|
handle.get(), jobz, d.uplo, d.n, a, d.n, w,
|
|
static_cast<double*>(work), d.lwork, info, params, d.batch)));
|
|
break;
|
|
}
|
|
case CusolverType::C64: {
|
|
cuComplex* a = static_cast<cuComplex*>(buffers[1]);
|
|
float* w = static_cast<float*>(buffers[2]);
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnCheevjBatched(
|
|
handle.get(), jobz, d.uplo, d.n, a, d.n, w,
|
|
static_cast<cuComplex*>(work), d.lwork, info, params, d.batch)));
|
|
break;
|
|
}
|
|
case CusolverType::C128: {
|
|
cuDoubleComplex* a = static_cast<cuDoubleComplex*>(buffers[1]);
|
|
double* w = static_cast<double*>(buffers[2]);
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(
|
|
cusolverDnZheevjBatched(handle.get(), jobz, d.uplo, d.n, a, d.n, w,
|
|
static_cast<cuDoubleComplex*>(work),
|
|
d.lwork, info, params, d.batch)));
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
return absl::OkStatus();
|
|
}
|
|
|
|
void Syevj(cudaStream_t stream, void** buffers, const char* opaque,
|
|
size_t opaque_len, XlaCustomCallStatus* status) {
|
|
auto s = Syevj_(stream, buffers, opaque, opaque_len);
|
|
if (!s.ok()) {
|
|
XlaCustomCallStatusSetFailure(status, std::string(s.message()).c_str(),
|
|
s.message().length());
|
|
}
|
|
}
|
|
|
|
// Singular value decomposition using QR algorithm: gesvd
|
|
|
|
static absl::Status Gesvd_(cudaStream_t stream, void** buffers,
|
|
const char* opaque, size_t opaque_len) {
|
|
auto s = UnpackDescriptor<GesvdDescriptor>(opaque, opaque_len);
|
|
JAX_RETURN_IF_ERROR(s.status());
|
|
const GesvdDescriptor& d = **s;
|
|
auto h = SolverHandlePool::Borrow(stream);
|
|
JAX_RETURN_IF_ERROR(h.status());
|
|
auto& handle = *h;
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cudaMemcpyAsync(
|
|
buffers[1], buffers[0],
|
|
SizeOfCusolverType(d.type) * static_cast<std::int64_t>(d.batch) *
|
|
static_cast<std::int64_t>(d.m) * static_cast<std::int64_t>(d.n),
|
|
cudaMemcpyDeviceToDevice, stream)));
|
|
int* info = static_cast<int*>(buffers[5]);
|
|
void* work = buffers[6];
|
|
int64_t k = d.jobu == 'A' ? d.m : d.n;
|
|
switch (d.type) {
|
|
case CusolverType::F32: {
|
|
float* a = static_cast<float*>(buffers[1]);
|
|
float* s = static_cast<float*>(buffers[2]);
|
|
float* u = static_cast<float*>(buffers[3]);
|
|
float* vt = static_cast<float*>(buffers[4]);
|
|
for (int i = 0; i < d.batch; ++i) {
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnSgesvd(
|
|
handle.get(), d.jobu, d.jobvt, d.m, d.n, a, d.m, s, u, d.m, vt, d.n,
|
|
static_cast<float*>(work), d.lwork,
|
|
/*rwork=*/nullptr, info)));
|
|
a += d.m * d.n;
|
|
s += std::min(d.m, d.n);
|
|
u += d.m * k;
|
|
vt += d.n * d.n;
|
|
++info;
|
|
}
|
|
break;
|
|
}
|
|
case CusolverType::F64: {
|
|
double* a = static_cast<double*>(buffers[1]);
|
|
double* s = static_cast<double*>(buffers[2]);
|
|
double* u = static_cast<double*>(buffers[3]);
|
|
double* vt = static_cast<double*>(buffers[4]);
|
|
for (int i = 0; i < d.batch; ++i) {
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnDgesvd(
|
|
handle.get(), d.jobu, d.jobvt, d.m, d.n, a, d.m, s, u, d.m, vt, d.n,
|
|
static_cast<double*>(work), d.lwork,
|
|
/*rwork=*/nullptr, info)));
|
|
a += d.m * d.n;
|
|
s += std::min(d.m, d.n);
|
|
u += d.m * k;
|
|
vt += d.n * d.n;
|
|
++info;
|
|
}
|
|
break;
|
|
}
|
|
case CusolverType::C64: {
|
|
cuComplex* a = static_cast<cuComplex*>(buffers[1]);
|
|
float* s = static_cast<float*>(buffers[2]);
|
|
cuComplex* u = static_cast<cuComplex*>(buffers[3]);
|
|
cuComplex* vt = static_cast<cuComplex*>(buffers[4]);
|
|
for (int i = 0; i < d.batch; ++i) {
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnCgesvd(
|
|
handle.get(), d.jobu, d.jobvt, d.m, d.n, a, d.m, s, u, d.m, vt, d.n,
|
|
static_cast<cuComplex*>(work), d.lwork, /*rwork=*/nullptr, info)));
|
|
a += d.m * d.n;
|
|
s += std::min(d.m, d.n);
|
|
u += d.m * k;
|
|
vt += d.n * d.n;
|
|
++info;
|
|
}
|
|
break;
|
|
}
|
|
case CusolverType::C128: {
|
|
cuDoubleComplex* a = static_cast<cuDoubleComplex*>(buffers[1]);
|
|
double* s = static_cast<double*>(buffers[2]);
|
|
cuDoubleComplex* u = static_cast<cuDoubleComplex*>(buffers[3]);
|
|
cuDoubleComplex* vt = static_cast<cuDoubleComplex*>(buffers[4]);
|
|
for (int i = 0; i < d.batch; ++i) {
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnZgesvd(
|
|
handle.get(), d.jobu, d.jobvt, d.m, d.n, a, d.m, s, u, d.m, vt, d.n,
|
|
static_cast<cuDoubleComplex*>(work), d.lwork,
|
|
/*rwork=*/nullptr, info)));
|
|
a += d.m * d.n;
|
|
s += std::min(d.m, d.n);
|
|
u += d.m * k;
|
|
vt += d.n * d.n;
|
|
++info;
|
|
}
|
|
break;
|
|
}
|
|
}
|
|
return absl::OkStatus();
|
|
}
|
|
|
|
void Gesvd(cudaStream_t stream, void** buffers, const char* opaque,
|
|
size_t opaque_len, XlaCustomCallStatus* status) {
|
|
auto s = Gesvd_(stream, buffers, opaque, opaque_len);
|
|
if (!s.ok()) {
|
|
XlaCustomCallStatusSetFailure(status, std::string(s.message()).c_str(),
|
|
s.message().length());
|
|
}
|
|
}
|
|
|
|
// Singular value decomposition using Jacobi algorithm: gesvdj
|
|
|
|
static absl::Status Gesvdj_(cudaStream_t stream, void** buffers,
|
|
const char* opaque, size_t opaque_len) {
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|
auto s = UnpackDescriptor<GesvdjDescriptor>(opaque, opaque_len);
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JAX_RETURN_IF_ERROR(s.status());
|
|
const GesvdjDescriptor& d = **s;
|
|
auto h = SolverHandlePool::Borrow(stream);
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JAX_RETURN_IF_ERROR(h.status());
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|
auto& handle = *h;
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cudaMemcpyAsync(
|
|
buffers[1], buffers[0],
|
|
SizeOfCusolverType(d.type) * static_cast<std::int64_t>(d.batch) *
|
|
static_cast<std::int64_t>(d.m) * static_cast<std::int64_t>(d.n),
|
|
cudaMemcpyDeviceToDevice, stream)));
|
|
int* info = static_cast<int*>(buffers[5]);
|
|
void* work = buffers[6];
|
|
gesvdjInfo_t params;
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnCreateGesvdjInfo(¶ms)));
|
|
std::unique_ptr<gesvdjInfo, void (*)(gesvdjInfo*)> params_cleanup(
|
|
params, [](gesvdjInfo* p) { cusolverDnDestroyGesvdjInfo(p); });
|
|
if (d.batch == 1) {
|
|
switch (d.type) {
|
|
case CusolverType::F32: {
|
|
float* a = static_cast<float*>(buffers[1]);
|
|
float* s = static_cast<float*>(buffers[2]);
|
|
float* u = static_cast<float*>(buffers[3]);
|
|
float* v = static_cast<float*>(buffers[4]);
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnSgesvdj(
|
|
handle.get(), d.jobz, d.econ, d.m, d.n, a, d.m, s, u, d.m, v,
|
|
d.n, static_cast<float*>(work), d.lwork, info, params)));
|
|
break;
|
|
}
|
|
case CusolverType::F64: {
|
|
double* a = static_cast<double*>(buffers[1]);
|
|
double* s = static_cast<double*>(buffers[2]);
|
|
double* u = static_cast<double*>(buffers[3]);
|
|
double* v = static_cast<double*>(buffers[4]);
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnDgesvdj(
|
|
handle.get(), d.jobz, d.econ, d.m, d.n, a, d.m, s, u, d.m, v,
|
|
d.n, static_cast<double*>(work), d.lwork, info, params)));
|
|
break;
|
|
}
|
|
case CusolverType::C64: {
|
|
cuComplex* a = static_cast<cuComplex*>(buffers[1]);
|
|
float* s = static_cast<float*>(buffers[2]);
|
|
cuComplex* u = static_cast<cuComplex*>(buffers[3]);
|
|
cuComplex* v = static_cast<cuComplex*>(buffers[4]);
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnCgesvdj(
|
|
handle.get(), d.jobz, d.econ, d.m, d.n, a, d.m, s, u, d.m, v,
|
|
d.n, static_cast<cuComplex*>(work), d.lwork, info, params)));
|
|
break;
|
|
}
|
|
case CusolverType::C128: {
|
|
cuDoubleComplex* a = static_cast<cuDoubleComplex*>(buffers[1]);
|
|
double* s = static_cast<double*>(buffers[2]);
|
|
cuDoubleComplex* u = static_cast<cuDoubleComplex*>(buffers[3]);
|
|
cuDoubleComplex* v = static_cast<cuDoubleComplex*>(buffers[4]);
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnZgesvdj(
|
|
handle.get(), d.jobz, d.econ, d.m, d.n, a, d.m, s, u, d.m, v,
|
|
d.n, static_cast<cuDoubleComplex*>(work), d.lwork, info, params)));
|
|
break;
|
|
}
|
|
}
|
|
} else {
|
|
switch (d.type) {
|
|
case CusolverType::F32: {
|
|
float* a = static_cast<float*>(buffers[1]);
|
|
float* s = static_cast<float*>(buffers[2]);
|
|
float* u = static_cast<float*>(buffers[3]);
|
|
float* v = static_cast<float*>(buffers[4]);
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnSgesvdjBatched(
|
|
handle.get(), d.jobz, d.m, d.n, a, d.m, s, u, d.m, v, d.n,
|
|
static_cast<float*>(work), d.lwork, info, params, d.batch)));
|
|
break;
|
|
}
|
|
case CusolverType::F64: {
|
|
double* a = static_cast<double*>(buffers[1]);
|
|
double* s = static_cast<double*>(buffers[2]);
|
|
double* u = static_cast<double*>(buffers[3]);
|
|
double* v = static_cast<double*>(buffers[4]);
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnDgesvdjBatched(
|
|
handle.get(), d.jobz, d.m, d.n, a, d.m, s, u, d.m, v, d.n,
|
|
static_cast<double*>(work), d.lwork, info, params, d.batch)));
|
|
break;
|
|
}
|
|
case CusolverType::C64: {
|
|
cuComplex* a = static_cast<cuComplex*>(buffers[1]);
|
|
float* s = static_cast<float*>(buffers[2]);
|
|
cuComplex* u = static_cast<cuComplex*>(buffers[3]);
|
|
cuComplex* v = static_cast<cuComplex*>(buffers[4]);
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnCgesvdjBatched(
|
|
handle.get(), d.jobz, d.m, d.n, a, d.m, s, u, d.m, v, d.n,
|
|
static_cast<cuComplex*>(work), d.lwork, info, params, d.batch)));
|
|
break;
|
|
}
|
|
case CusolverType::C128: {
|
|
cuDoubleComplex* a = static_cast<cuDoubleComplex*>(buffers[1]);
|
|
double* s = static_cast<double*>(buffers[2]);
|
|
cuDoubleComplex* u = static_cast<cuDoubleComplex*>(buffers[3]);
|
|
cuDoubleComplex* v = static_cast<cuDoubleComplex*>(buffers[4]);
|
|
JAX_RETURN_IF_ERROR(JAX_AS_STATUS(cusolverDnZgesvdjBatched(
|
|
handle.get(), d.jobz, d.m, d.n, a, d.m, s, u, d.m, v, d.n,
|
|
static_cast<cuDoubleComplex*>(work), d.lwork, info, params,
|
|
d.batch)));
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
return absl::OkStatus();
|
|
}
|
|
|
|
void Gesvdj(cudaStream_t stream, void** buffers, const char* opaque,
|
|
size_t opaque_len, XlaCustomCallStatus* status) {
|
|
auto s = Gesvdj_(stream, buffers, opaque, opaque_len);
|
|
if (!s.ok()) {
|
|
XlaCustomCallStatusSetFailure(status, std::string(s.message()).c_str(),
|
|
s.message().length());
|
|
}
|
|
}
|
|
|
|
} // namespace jax
|