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@@ -225,3 +225,4 @@ wemm/lib/python3.10/site-packages/torch/testing/_internal/__pycache__/common_met
 wemm/lib/python3.10/site-packages/torch/lib/libcudnn.so.8 filter=lfs diff=lfs merge=lfs -text
 wemm/lib/python3.10/site-packages/numpy.libs/libgfortran-040039e1.so.5.0.0 filter=lfs diff=lfs merge=lfs -text
 wemm/lib/python3.10/site-packages/sentencepiece/_sentencepiece.cpython-310-x86_64-linux-gnu.so filter=lfs diff=lfs merge=lfs -text
+parrot/lib/python3.10/site-packages/bitsandbytes/libbitsandbytes_cuda122.so filter=lfs diff=lfs merge=lfs -text

parrot/lib/python3.10/site-packages/bitsandbytes/libbitsandbytes_cuda122.so

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:16b8578667eb6836c6b7923a3b3508d62809e4e91429674a0c3ab97cf60c5349
+size 14561032

wemm/lib/python3.10/site-packages/torch/include/ATen/cuda/ATenCUDAGeneral.h

@@ -0,0 +1,9 @@
+#pragma once
+
+#include <cuda.h>
+#include <cuda_runtime.h>
+#include <cuda_fp16.h>
+
+#include <c10/macros/Export.h>
+
+// Use TORCH_CUDA_CPP_API or TORCH_CUDA_CU_API for exports from this folder

wemm/lib/python3.10/site-packages/torch/include/ATen/cuda/CUDABlas.h

@@ -0,0 +1,305 @@
+#pragma once
+/*
+  Provides a subset of CUDA BLAS functions as templates:
+
+    gemm<Dtype>(transa, transb, m, n, k, alpha, a, lda, b, ldb, beta, c,
+  ldc)
+
+    gemv<Dtype>(transa, m, n, alpha, a, lda, x, incx, beta, y, incy)
+
+    dot<Dtype>(n, x, incx, y, incy, result)
+
+  where Dtype is double, float, at::Half or at::BFloat16 (ROCm, NOT for dot).
+  The functions are available in at::cuda::blas namespace.
+ */
+
+#include <ATen/cuda/CUDAContext.h>
+#include <ATen/OpMathType.h>
+
+namespace at {
+namespace cuda {
+namespace blas {
+
+// RAII guard that sets the CuBLAS pointer mode and restores it to
+// its previous value when the guard is destroyed
+class PointerModeGuard {
+public:
+  PointerModeGuard(cublasHandle_t handle, cublasPointerMode_t mode) :
+      handle(handle) {
+    TORCH_CUDABLAS_CHECK(cublasGetPointerMode(handle, &previous_mode));
+    TORCH_CUDABLAS_CHECK(cublasSetPointerMode(handle, mode));
+  }
+
+  ~PointerModeGuard() {
+    cublasSetPointerMode(handle, previous_mode);
+  }
+
+private:
+  cublasHandle_t handle;
+  cublasPointerMode_t previous_mode;
+};
+
+/* LEVEL 3 BLAS FUNCTIONS */
+
+#define CUDABLAS_GEMM_ARGTYPES(Dtype)                                                       \
+  char transa, char transb, int64_t m, int64_t n, int64_t k, at::opmath_type<Dtype> alpha,  \
+      const Dtype *a, int64_t lda, const Dtype *b, int64_t ldb, at::opmath_type<Dtype> beta,\
+      Dtype *c, int64_t ldc
+
+template <typename Dtype>
+inline void gemm(CUDABLAS_GEMM_ARGTYPES(Dtype)) {
+  AT_ERROR("at::cuda::blas::gemm: not implemented for ", typeid(Dtype).name());
+}
+
+template <>
+void gemm<double>(CUDABLAS_GEMM_ARGTYPES(double));
+template <>
+void gemm<float>(CUDABLAS_GEMM_ARGTYPES(float));
+#if !defined(USE_ROCM) || (defined(USE_ROCM) && ROCM_VERSION >= 21000)
+  template <>
+  void gemm<c10::complex<double>>(CUDABLAS_GEMM_ARGTYPES(c10::complex<double>));
+#endif
+#if !defined(USE_ROCM) || (defined(USE_ROCM) && ROCM_VERSION >= 21000)
+  template <>
+  void gemm<c10::complex<float>>(CUDABLAS_GEMM_ARGTYPES(c10::complex<float>));
+#endif
+template <>
+void gemm<at::Half>(CUDABLAS_GEMM_ARGTYPES(at::Half));
+template <>
+void gemm<at::BFloat16>(CUDABLAS_GEMM_ARGTYPES(at::BFloat16));
+
+#if !defined(USE_ROCM) && !defined(_MSC_VER)
+enum GEMMAndBiasActivationEpilogue {
+  None,
+  RELU,
+  GELU,
+};
+
+// NOTE: GELU activation is not supported prior to CUDA 11.4 and will
+// do nothing if passed in that case.
+template <typename Dtype>
+void gemm_and_bias(
+    bool transpose_mat1,
+    bool transpose_mat2,
+    int64_t m,
+    int64_t n,
+    int64_t k,
+    at::opmath_type<Dtype> alpha_val,
+    const Dtype* mat1_ptr,
+    int64_t mat1_ld,
+    const Dtype* mat2_ptr,
+    int64_t mat2_ld,
+    const Dtype* bias,
+    Dtype* result_ptr,
+    int64_t result_ld,
+    GEMMAndBiasActivationEpilogue activation = GEMMAndBiasActivationEpilogue::None);
+#endif
+
+#define CUDABLAS_BGEMM_ARGTYPES(Dtype)                                                        \
+  char transa, char transb, int64_t m, int64_t n, int64_t k, at::opmath_type<Dtype> alpha,    \
+      const Dtype *a, int64_t lda, int64_t stridea,                                           \
+      const Dtype *b, int64_t ldb, int64_t strideb,                                           \
+      at::opmath_type<Dtype> beta, Dtype *c, int64_t ldc, int64_t stridec, int64_t num_batches
+
+template <typename Dtype>
+inline void bgemm(CUDABLAS_BGEMM_ARGTYPES(Dtype)) {
+  AT_ERROR("at::cuda::blas::bgemm: not implemented for ", typeid(Dtype).name());
+}
+
+template <>
+void bgemm<double>(CUDABLAS_BGEMM_ARGTYPES(double));
+template <>
+void bgemm<float>(CUDABLAS_BGEMM_ARGTYPES(float));
+template <>
+void bgemm<c10::complex<double>>(CUDABLAS_BGEMM_ARGTYPES(c10::complex<double>));
+template <>
+void bgemm<c10::complex<float>>(CUDABLAS_BGEMM_ARGTYPES(c10::complex<float>));
+template <>
+void bgemm<at::Half>(CUDABLAS_BGEMM_ARGTYPES(at::Half));
+template <>
+void bgemm<at::BFloat16>(CUDABLAS_BGEMM_ARGTYPES(at::BFloat16));
+
+#define CUDABLAS_TRSM_ARGTYPES(Dtype)                                  \
+  cublasHandle_t handle, cublasSideMode_t side, cublasFillMode_t uplo, \
+      cublasOperation_t trans, cublasDiagType_t diag, int m, int n,    \
+      const Dtype *alpha, const Dtype *A, int lda, Dtype *B, int ldb
+
+template <typename Dtype>
+inline void trsm(CUDABLAS_TRSM_ARGTYPES(Dtype)) {
+  TORCH_INTERNAL_ASSERT(false, "at::cuda::blas::trsm: not implemented for ", typeid(Dtype).name());
+}
+
+template <>
+TORCH_CUDA_CU_API void trsm<float>(CUDABLAS_TRSM_ARGTYPES(float));
+template <>
+TORCH_CUDA_CU_API void trsm<double>(CUDABLAS_TRSM_ARGTYPES(double));
+template <>
+TORCH_CUDA_CU_API void trsm<c10::complex<float>>(CUDABLAS_TRSM_ARGTYPES(c10::complex<float>));
+template <>
+TORCH_CUDA_CU_API void trsm<c10::complex<double>>(CUDABLAS_TRSM_ARGTYPES(c10::complex<double>));
+
+#define CUDABLAS_TRSM_BATCHED_ARGTYPES(Dtype)                          \
+  cublasHandle_t handle, cublasSideMode_t side, cublasFillMode_t uplo, \
+      cublasOperation_t trans, cublasDiagType_t diag, int m, int n,    \
+      const Dtype *alpha, Dtype *A[], int lda, Dtype *B[], int ldb,    \
+      int batchCount
+
+template <typename Dtype>
+inline void trsmBatched(CUDABLAS_TRSM_BATCHED_ARGTYPES(Dtype)) {
+  TORCH_INTERNAL_ASSERT(
+      false,
+      "at::cuda::blas::trsmBatched: not implemented for ",
+      typeid(Dtype).name());
+}
+
+template <>
+TORCH_CUDA_CU_API void trsmBatched<float>(CUDABLAS_TRSM_BATCHED_ARGTYPES(float));
+template <>
+TORCH_CUDA_CU_API void trsmBatched<double>(CUDABLAS_TRSM_BATCHED_ARGTYPES(double));
+template <>
+TORCH_CUDA_CU_API void trsmBatched<c10::complex<float>>(CUDABLAS_TRSM_BATCHED_ARGTYPES(c10::complex<float>));
+template <>
+TORCH_CUDA_CU_API void trsmBatched<c10::complex<double>>(CUDABLAS_TRSM_BATCHED_ARGTYPES(c10::complex<double>));
+
+/* LEVEL 2 BLAS FUNCTIONS */
+
+#define CUDABLAS_GEMV_ARGTYPES(Dtype)                                         \
+  char trans, int64_t m, int64_t n, Dtype alpha, const Dtype *a, int64_t lda, \
+      const Dtype *x, int64_t incx, Dtype beta, Dtype *y, int64_t incy
+
+template <typename Dtype>
+inline void gemv(CUDABLAS_GEMV_ARGTYPES(Dtype)) {
+  AT_ERROR("at::cuda::blas::gemv: not implemented for ", typeid(Dtype).name());
+}
+
+template <>
+void gemv<double>(CUDABLAS_GEMV_ARGTYPES(double));
+template <>
+void gemv<float>(CUDABLAS_GEMV_ARGTYPES(float));
+#if !defined(USE_ROCM) || (defined(USE_ROCM) && ROCM_VERSION >= 21000)
+template <>
+void gemv<c10::complex<double>>(CUDABLAS_GEMV_ARGTYPES(c10::complex<double>));
+template <>
+void gemv<c10::complex<float>>(CUDABLAS_GEMV_ARGTYPES(c10::complex<float>));
+#endif
+template <>
+void gemv<at::Half>(CUDABLAS_GEMV_ARGTYPES(at::Half));
+template <>
+void gemv<at::BFloat16>(CUDABLAS_GEMV_ARGTYPES(at::BFloat16));
+
+/* LEVEL 1 BLAS FUNCTIONS */
+
+#define CUDABLAS_DOT_ARGTYPES(Dtype)                                      \
+  cublasHandle_t handle, int n, const Dtype *x, int incx, const Dtype *y, \
+      int incy, Dtype *result
+
+template <typename Dtype>
+inline void dot(CUDABLAS_DOT_ARGTYPES(Dtype)) {
+  AT_ERROR("at::cuda::blas::dot: not implemented for ", typeid(Dtype).name());
+}
+
+template <>
+void dot<double>(CUDABLAS_DOT_ARGTYPES(double));
+template <>
+void dot<float>(CUDABLAS_DOT_ARGTYPES(float));
+template <>
+void dot<at::Half>(CUDABLAS_DOT_ARGTYPES(at::Half));
+template <>
+void dot<at::BFloat16>(CUDABLAS_DOT_ARGTYPES(at::BFloat16));
+template <>
+void dot<c10::complex<double>>(CUDABLAS_DOT_ARGTYPES(c10::complex<double>));
+template <>
+void dot<c10::complex<float>>(CUDABLAS_DOT_ARGTYPES(c10::complex<float>));
+
+template <typename Dtype>
+inline void vdot(CUDABLAS_DOT_ARGTYPES(Dtype)) {
+  AT_ERROR("at::cuda::blas::vdot: not implemented for ", typeid(Dtype).name());
+}
+
+template <>
+void vdot<c10::complex<float>>(CUDABLAS_DOT_ARGTYPES(c10::complex<float>));
+template <>
+void vdot<c10::complex<double>>(CUDABLAS_DOT_ARGTYPES(c10::complex<double>));
+
+// This guards blocks use of getrsBatched, geqrfBatched, getrfBatched on platforms other than cuda
+#ifdef CUDART_VERSION
+
+#define CUDABLAS_GETRS_ARGTYPES(Dtype)  \
+  cublasHandle_t handle, cublasOperation_t trans, \
+  int n, int nrhs, Dtype** dA_array, int lda, int* ipiv_array, \
+  Dtype** dB_array, int ldb, int* info_array, int batchsize
+
+template<class Dtype>
+void getrsBatched(CUDABLAS_GETRS_ARGTYPES(Dtype)) {
+  TORCH_INTERNAL_ASSERT(false, "at::cuda::blas::getrsBatched: not implemented for ",
+    typeid(Dtype).name());
+}
+template<>
+TORCH_CUDA_CU_API void getrsBatched<float>(CUDABLAS_GETRS_ARGTYPES(float));
+template<>
+TORCH_CUDA_CU_API void getrsBatched<double>(CUDABLAS_GETRS_ARGTYPES(double));
+template<>
+TORCH_CUDA_CU_API void getrsBatched<c10::complex<float>>(CUDABLAS_GETRS_ARGTYPES(c10::complex<float>));
+template<>
+TORCH_CUDA_CU_API void getrsBatched<c10::complex<double>>(CUDABLAS_GETRS_ARGTYPES(c10::complex<double>));
+
+#define CUDABLAS_GEQRF_BATCHED_ARGTYPES(Dtype)                   \
+  cublasHandle_t handle, int m, int n, Dtype **A_array, int lda, \
+      Dtype **tau_array, int *info, int batchsize
+
+template <class Dtype>
+void geqrfBatched(CUDABLAS_GEQRF_BATCHED_ARGTYPES(Dtype)) {
+  TORCH_INTERNAL_ASSERT(
+      false,
+      "at::cuda::blas::geqrfBatched: not implemented for ",
+      typeid(Dtype).name());
+}
+template <>
+TORCH_CUDA_CU_API void geqrfBatched<float>(CUDABLAS_GEQRF_BATCHED_ARGTYPES(float));
+template <>
+TORCH_CUDA_CU_API void geqrfBatched<double>(CUDABLAS_GEQRF_BATCHED_ARGTYPES(double));
+template <>
+TORCH_CUDA_CU_API void geqrfBatched<c10::complex<double>>(
+    CUDABLAS_GEQRF_BATCHED_ARGTYPES(c10::complex<double>));
+template <>
+TORCH_CUDA_CU_API void geqrfBatched<c10::complex<float>>(
+    CUDABLAS_GEQRF_BATCHED_ARGTYPES(c10::complex<float>));
+
+#define CUDABLAS_GETRF_ARGTYPES(Dtype)  \
+  int n, Dtype** dA_array, int ldda, int* ipiv_array, int* info_array, int batchsize
+
+template<class Dtype>
+void getrfBatched(CUDABLAS_GETRF_ARGTYPES(Dtype)) {
+  TORCH_CHECK(false, "at::cuda::blas::getrfBatched: not implemented for ", typeid(Dtype).name());
+}
+template<>
+TORCH_CUDA_CU_API void getrfBatched<float>(CUDABLAS_GETRF_ARGTYPES(float));
+template<>
+TORCH_CUDA_CU_API void getrfBatched<double>(CUDABLAS_GETRF_ARGTYPES(double));
+template<>
+TORCH_CUDA_CU_API void getrfBatched<c10::complex<double>>(CUDABLAS_GETRF_ARGTYPES(c10::complex<double>));
+template<>
+TORCH_CUDA_CU_API void getrfBatched<c10::complex<float>>(CUDABLAS_GETRF_ARGTYPES(c10::complex<float>));
+
+#define CUDABLAS_GELS_BATCHED_ARGTYPES(Dtype)  \
+  cublasHandle_t handle, cublasOperation_t trans, int m, int n, int nrhs, Dtype** dA_array, int ldda, Dtype** dC_array, int lddc, int* info, int *devInfoArray, int batchSize
+
+template <class Dtype>
+void gelsBatched(CUDABLAS_GELS_BATCHED_ARGTYPES(Dtype)) {
+  TORCH_INTERNAL_ASSERT(false, "at::cuda::blas::gelsBatched: not implemented for ", typeid(Dtype).name());
+}
+
+template<>
+TORCH_CUDA_CU_API void gelsBatched<double>(CUDABLAS_GELS_BATCHED_ARGTYPES(double));
+template<>
+TORCH_CUDA_CU_API void gelsBatched<float>(CUDABLAS_GELS_BATCHED_ARGTYPES(float));
+template<>
+TORCH_CUDA_CU_API void gelsBatched<c10::complex<double>>(CUDABLAS_GELS_BATCHED_ARGTYPES(c10::complex<double>));
+template<>
+TORCH_CUDA_CU_API void gelsBatched<c10::complex<float>>(CUDABLAS_GELS_BATCHED_ARGTYPES(c10::complex<float>));
+
+#endif // CUDART_VERSION
+
+} // namespace blas
+} // namespace cuda
+} // namespace at

wemm/lib/python3.10/site-packages/torch/include/ATen/cuda/CUDAGeneratorImpl.h

@@ -0,0 +1,138 @@
+#pragma once
+
+#include <ATen/core/Generator.h>
+#include <ATen/cuda/detail/PhiloxCudaStateRaw.cuh>
+#include <ATen/Context.h>
+#include <limits>
+#include <atomic>
+
+namespace at {
+/**
+ * Note [CUDA Graph-safe RNG states]
+ * ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+ *
+ * Strategy:
+ * ~~~~~~~~~
+ * (It helps to look at
+ * cuda/detail/PhiloxCudaStateRaw.cuh and
+ * cuda/detail/UnpackRaw.cuh
+ * while you read this.)
+ *
+ * A CUDA graph containing multiple RNG ops behaves like a
+ * single giant kernel from the perspective of ops external
+ * to the graph.  During graph capture, logic in CUDAGeneratorImpl
+ * records the total of all offset increments that occur in the
+ * graphed region, and records the final total as the offset for
+ * the entire graph.
+ *
+ * When the graph reruns, the logic that reruns it
+ * increments this device's CUDA generator's offset
+ * by that total.
+ *
+ * Meanwhile, within the graph, at capture time, instead of
+ * populating PhiloxCudaStates with the uint64_t offset pulled
+ * directly from the global state, PhiloxCudaState uses a pointer
+ * to a one-element stream-local int64_t device tensor
+ * holding an initial offset value, and a uint64_t holding an
+ * intra-graph offset. (The intra-graph offset starts from zero
+ * when capture begins.)  In each consumer kernel,
+ * at::cuda::philox::unpack computes the offset to use for this kernel
+ * as intra-graph offset + *initial offset.
+ *
+ * When the graph reruns, the logic that reruns it first
+ * fill_s the initial offset tensor with this device's
+ * CUDA generator's current offset.
+ *
+ * The control flow above ensures graphed execution is bitwise
+ * identical to eager execution as long as RNG ops are enqueued
+ * from a single thread, even if RNG ops and graphs containing
+ * RNG ops are enqueued and run simultaneously on multiple streams.
+ *
+ * Usage:
+ * ~~~~~~
+ * PhiloxCudaState in this file, and unpack() in
+ * cuda/CUDAGraphsUtils.cuh allow non-divergent use of
+ * CUDAGeneratorImpl whether graph capture is underway or not.
+ *
+ * Each PhiloxCudaState instance should be used for one and only one
+ * consumer kernel.
+ *
+ * Example (see e.g. native/cuda/Dropout.cu):
+ *
+ * #include <ATen/cuda/CUDAGeneratorImpl.h>
+ * #include <ATen/cuda/CUDAGraphsUtils.cuh>
+ *
+ * __global__ void kernel(..., PhiloxCudaState philox_args) {
+ *   auto seeds = at::cuda::philox::unpack(philox_args);
+ *   IndexType idx = blockIdx.x * blockDim.x + threadIdx.x;
+ *   curandStatePhilox4_32_10_t state;
+ *   curand_init(std::get<0>(seeds), // seed
+ *               idx,                // per-thread subsequence
+ *               std::get<1>(seeds), // offset in subsequence
+ *               &state);
+ *   ...
+ * }
+ *
+ * host_caller(...) {
+ *   PhiloxCudaState rng_engine_inputs;
+ *   {
+ *     // See Note [Acquire lock when using random generators]
+ *     std::lock_guard<std::mutex> lock(gen->mutex_);
+ *
+ *     // gen could be HostState or DevState here! No divergent code needed!
+ *     rng_engine_inputs = gen->philox_cuda_state(offset_increment);
+ *   }
+ *   kernel<<<...>>>(..., rng_engine_inputs);
+ * }
+ *
+ */
+
+struct TORCH_CUDA_CPP_API CUDAGeneratorImpl : public c10::GeneratorImpl {
+  // Constructors
+  CUDAGeneratorImpl(DeviceIndex device_index = -1);
+  ~CUDAGeneratorImpl() override = default;
+
+  // CUDAGeneratorImpl methods
+  std::shared_ptr<CUDAGeneratorImpl> clone() const;
+  void set_current_seed(uint64_t seed) override;
+  uint64_t current_seed() const override;
+  uint64_t seed() override;
+  void set_state(const c10::TensorImpl& new_state) override;
+  c10::intrusive_ptr<c10::TensorImpl> get_state() const override;
+  void set_philox_offset_per_thread(uint64_t offset);
+  uint64_t philox_offset_per_thread() const;
+  void capture_prologue(int64_t* seed_extragraph, int64_t* offset_extragraph);
+  uint64_t capture_epilogue();
+  PhiloxCudaState philox_cuda_state(uint64_t increment);
+
+  bool reset_rnn_state() {
+    return !no_reset_rnn_state_.test_and_set();
+  }
+
+  // Temporarily accommodates call sites that use philox_engine_inputs.
+  // Allows incremental refactor of call sites to use philox_cuda_state.
+  std::pair<uint64_t, uint64_t> philox_engine_inputs(uint64_t increment);
+
+  static DeviceType device_type();
+
+private:
+  CUDAGeneratorImpl* clone_impl() const override;
+  uint64_t seed_ = default_rng_seed_val;
+  uint64_t philox_offset_per_thread_ = 0;
+  int64_t* seed_extragraph_{};
+  int64_t* offset_extragraph_{};
+  uint32_t offset_intragraph_ = 0;
+  bool graph_expects_this_gen_ = false;
+  std::atomic_flag no_reset_rnn_state_;
+};
+
+namespace cuda {
+namespace detail {
+
+TORCH_CUDA_CPP_API const Generator& getDefaultCUDAGenerator(
+    DeviceIndex device_index = -1);
+TORCH_CUDA_CPP_API Generator createCUDAGenerator(DeviceIndex device_index = -1);
+
+} // namespace detail
+} // namespace cuda
+} // namespace at

wemm/lib/python3.10/site-packages/torch/include/ATen/cuda/CUDAGraph.h

@@ -0,0 +1,80 @@
+#pragma once
+
+#include <ATen/Tensor.h>
+#include <c10/core/Device.h>
+#include <c10/cuda/CUDAGraphsC10Utils.h>
+#include <c10/cuda/CUDAStream.h>
+
+namespace at {
+
+struct CUDAGeneratorImpl;
+
+namespace cuda {
+
+// Standalone way to get a unique mempool id usable as a pool=... argument
+// to CUDAGraph::capture_begin
+TORCH_CUDA_CPP_API MempoolId_t graph_pool_handle();
+
+struct TORCH_CUDA_CPP_API CUDAGraph {
+  CUDAGraph();
+  ~CUDAGraph();
+
+  void capture_begin(MempoolId_t pool={0, 0});
+  void capture_end();
+  void replay();
+  void reset();
+  MempoolId_t pool();
+  void enable_debug_mode();
+  void debug_dump(const std::string& debug_path);
+
+  protected:
+#if !defined(USE_ROCM) || ROCM_VERSION >= 50300
+  cudaGraph_t graph_ = NULL;
+  cudaGraphExec_t graph_exec_ = NULL;
+#endif
+
+  // internal states so reset() can do its best cleaning up
+  // Set to true in capture_end if cudaStreamEndCapture succeeded
+  // Set back to false soon after, when graph_ is consumed by cudaGraphInstantiate
+  // to create graph_exec_, then graph_ is deleted
+  bool has_graph_ = false;
+  // Set to true in capture_end if cudaGraphInstantiate succeeded
+  bool has_graph_exec_ = false;
+
+  // uuid of this instance's current capture, retrieved from Cuda
+  CaptureId_t id_;
+
+  // uuid used to request a particular private mempool from CUDACachingAllocator.
+  // By default, this will be set to {id_, 0}.
+  //
+  // If capture_begin is called with "pool=other_graph.pool()", this graph's mempool_id_
+  // will be set to the other graph's mempool_id_, and therefore share a mempool with the
+  // other graph.
+  //
+  // If capture_begin is called with "pool=handle" where "handle" came from graph_pool_handle(),
+  // it will share a mempool with any other captures that used "pool=handle".
+  //
+  // Sharing a mempool across graphs saves memory, and it's safe if you
+  // know you'll replay those graphs in the same order you captured them.
+  MempoolId_t mempool_id_;
+
+  // Stream on which capture began
+  at::cuda::CUDAStream capture_stream_;
+
+  // Default generator on device where capture began
+  at::CUDAGeneratorImpl* capture_gen_;
+
+  // Device where capture occurred. Right now, for simplicity, we require all ops
+  // in a capture to run on the same device, but this is a limitation of CUDAGraph,
+  // not CUDA itself.  We can straightforwardly modify CUDAGraph to support multi-device
+  // captures if needed.
+  int capture_dev_;
+
+  // RNG state trackers
+  at::Tensor seed_extragraph_;
+  at::Tensor offset_extragraph_;
+  uint64_t wholegraph_increment_;
+};
+
+} // namespace cuda
+} // namespace at

wemm/lib/python3.10/site-packages/torch/include/ATen/cuda/CUDAGraphsUtils.cuh

@@ -0,0 +1,59 @@
+#pragma once
+
+#include <ATen/cuda/CUDAGeneratorImpl.h>
+#include <ATen/cuda/CUDAEvent.h>
+#include <ATen/cuda/detail/UnpackRaw.cuh>
+#include <ATen/cuda/detail/CUDAHooks.h>
+#include <ATen/detail/CUDAHooksInterface.h>
+#include <c10/core/StreamGuard.h>
+#include <c10/cuda/CUDAGraphsC10Utils.h>
+#include <c10/cuda/CUDAGuard.h>
+
+// c10/cuda/CUDAGraphsC10Utils.h has utils used by both c10 and aten.
+// This file adds utils used by aten only.
+
+namespace at {
+namespace cuda {
+
+using CaptureId_t = c10::cuda::CaptureId_t;
+using CaptureStatus = c10::cuda::CaptureStatus;
+
+// Use this version where you don't want to create a CUDA context if none exists.
+inline CaptureStatus currentStreamCaptureStatus() {
+#if !defined(USE_ROCM) || ROCM_VERSION >= 50300
+  // don't create a context if we don't have to
+  if (at::cuda::detail::hasPrimaryContext(c10::cuda::current_device())) {
+    return c10::cuda::currentStreamCaptureStatusMayInitCtx();
+  } else {
+    return CaptureStatus::None;
+  }
+#else
+  return CaptureStatus::None;
+#endif
+}
+
+inline void assertNotCapturing(std::string attempt) {
+  auto status = currentStreamCaptureStatus();
+  TORCH_CHECK(status == CaptureStatus::None,
+              attempt,
+              " during CUDA graph capture. If you need this call to be captured, "
+              "please file an issue. "
+              "Current cudaStreamCaptureStatus: ",
+              status);
+}
+
+inline void errorIfCapturingCudnnBenchmark(std::string version_specific) {
+  auto status = currentStreamCaptureStatus();
+  TORCH_CHECK(status == CaptureStatus::None,
+              "Current cudaStreamCaptureStatus: ",
+              status,
+              "\nCapturing ",
+              version_specific,
+              "is prohibited. Possible causes of this error:\n"
+              "1. No warmup iterations occurred before capture.\n"
+              "2. The convolutions you're trying to capture use dynamic shapes, "
+              "in which case capturing them is generally prohibited.");
+}
+
+} // namespace cuda
+} // namespace at

wemm/lib/python3.10/site-packages/torch/include/ATen/cuda/CUDASparseDescriptors.h

@@ -0,0 +1,266 @@
+#pragma once
+
+#include <ATen/Tensor.h>
+#include <ATen/cuda/CUDAContext.h>
+#include <ATen/cuda/CUDASparse.h>
+
+#include <c10/core/ScalarType.h>
+
+#if defined(USE_ROCM)
+#include <type_traits>
+#endif
+
+namespace at {
+namespace cuda {
+namespace sparse {
+
+template <typename T, cusparseStatus_t (*destructor)(T*)>
+struct CuSparseDescriptorDeleter {
+  void operator()(T* x) {
+    if (x != nullptr) {
+      TORCH_CUDASPARSE_CHECK(destructor(x));
+    }
+  }
+};
+
+template <typename T, cusparseStatus_t (*destructor)(T*)>
+class CuSparseDescriptor {
+ public:
+  T* descriptor() const {
+    return descriptor_.get();
+  }
+  T* descriptor() {
+    return descriptor_.get();
+  }
+
+ protected:
+  std::unique_ptr<T, CuSparseDescriptorDeleter<T, destructor>> descriptor_;
+};
+
+#if AT_USE_CUSPARSE_CONST_DESCRIPTORS()
+template <typename T, cusparseStatus_t (*destructor)(const T*)>
+struct ConstCuSparseDescriptorDeleter {
+  void operator()(T* x) {
+    if (x != nullptr) {
+      TORCH_CUDASPARSE_CHECK(destructor(x));
+    }
+  }
+};
+
+template <typename T, cusparseStatus_t (*destructor)(const T*)>
+class ConstCuSparseDescriptor {
+ public:
+  T* descriptor() const {
+    return descriptor_.get();
+  }
+  T* descriptor() {
+    return descriptor_.get();
+  }
+
+ protected:
+  std::unique_ptr<T, ConstCuSparseDescriptorDeleter<T, destructor>> descriptor_;
+};
+#endif // AT_USE_CUSPARSE_CONST_DESCRIPTORS
+
+#if defined(USE_ROCM)
+// hipSPARSE doesn't define this
+using cusparseMatDescr = std::remove_pointer<cusparseMatDescr_t>::type;
+using cusparseDnMatDescr = std::remove_pointer<cusparseDnMatDescr_t>::type;
+using cusparseDnVecDescr = std::remove_pointer<cusparseDnVecDescr_t>::type;
+using cusparseSpMatDescr = std::remove_pointer<cusparseSpMatDescr_t>::type;
+using cusparseSpMatDescr = std::remove_pointer<cusparseSpMatDescr_t>::type;
+using cusparseSpGEMMDescr = std::remove_pointer<cusparseSpGEMMDescr_t>::type;
+#if AT_USE_HIPSPARSE_TRIANGULAR_SOLVE()
+using bsrsv2Info = std::remove_pointer<bsrsv2Info_t>::type;
+using bsrsm2Info = std::remove_pointer<bsrsm2Info_t>::type;
+#endif
+#endif
+
+class TORCH_CUDA_CPP_API CuSparseMatDescriptor
+    : public CuSparseDescriptor<cusparseMatDescr, &cusparseDestroyMatDescr> {
+ public:
+  CuSparseMatDescriptor() {
+    cusparseMatDescr_t raw_descriptor;
+    TORCH_CUDASPARSE_CHECK(cusparseCreateMatDescr(&raw_descriptor));
+    descriptor_.reset(raw_descriptor);
+  }
+
+  CuSparseMatDescriptor(bool upper, bool unit) {
+    cusparseFillMode_t fill_mode =
+        upper ? CUSPARSE_FILL_MODE_UPPER : CUSPARSE_FILL_MODE_LOWER;
+    cusparseDiagType_t diag_type =
+        unit ? CUSPARSE_DIAG_TYPE_UNIT : CUSPARSE_DIAG_TYPE_NON_UNIT;
+    cusparseMatDescr_t raw_descriptor;
+    TORCH_CUDASPARSE_CHECK(cusparseCreateMatDescr(&raw_descriptor));
+    TORCH_CUDASPARSE_CHECK(cusparseSetMatFillMode(raw_descriptor, fill_mode));
+    TORCH_CUDASPARSE_CHECK(cusparseSetMatDiagType(raw_descriptor, diag_type));
+    descriptor_.reset(raw_descriptor);
+  }
+};
+
+#if AT_USE_HIPSPARSE_TRIANGULAR_SOLVE()
+
+class TORCH_CUDA_CPP_API CuSparseBsrsv2Info
+    : public CuSparseDescriptor<bsrsv2Info, &cusparseDestroyBsrsv2Info> {
+ public:
+  CuSparseBsrsv2Info() {
+    bsrsv2Info_t raw_descriptor;
+    TORCH_CUDASPARSE_CHECK(cusparseCreateBsrsv2Info(&raw_descriptor));
+    descriptor_.reset(raw_descriptor);
+  }
+};
+
+class TORCH_CUDA_CPP_API CuSparseBsrsm2Info
+    : public CuSparseDescriptor<bsrsm2Info, &cusparseDestroyBsrsm2Info> {
+ public:
+  CuSparseBsrsm2Info() {
+    bsrsm2Info_t raw_descriptor;
+    TORCH_CUDASPARSE_CHECK(cusparseCreateBsrsm2Info(&raw_descriptor));
+    descriptor_.reset(raw_descriptor);
+  }
+};
+
+#endif // AT_USE_HIPSPARSE_TRIANGULAR_SOLVE
+
+#if AT_USE_CUSPARSE_GENERIC_API() || AT_USE_HIPSPARSE_GENERIC_API()
+
+cusparseIndexType_t getCuSparseIndexType(const c10::ScalarType& scalar_type);
+
+#if AT_USE_HIPSPARSE_GENERIC_52_API() || \
+    (AT_USE_CUSPARSE_GENERIC_API() && AT_USE_CUSPARSE_NON_CONST_DESCRIPTORS())
+class TORCH_CUDA_CPP_API CuSparseDnMatDescriptor
+    : public CuSparseDescriptor<cusparseDnMatDescr, &cusparseDestroyDnMat> {
+ public:
+  explicit CuSparseDnMatDescriptor(const Tensor& input, int64_t batch_offset = -1);
+};
+
+class TORCH_CUDA_CPP_API CuSparseDnVecDescriptor
+    : public CuSparseDescriptor<cusparseDnVecDescr, &cusparseDestroyDnVec> {
+ public:
+  explicit CuSparseDnVecDescriptor(const Tensor& input);
+};
+
+class TORCH_CUDA_CPP_API CuSparseSpMatDescriptor
+    : public CuSparseDescriptor<cusparseSpMatDescr, &cusparseDestroySpMat> {};
+
+//AT_USE_HIPSPARSE_GENERIC_52_API() || (AT_USE_CUSPARSE_GENERIC_API() && AT_USE_CUSPARSE_NON_CONST_DESCRIPTORS())
+
+#elif AT_USE_CUSPARSE_CONST_DESCRIPTORS()
+  class TORCH_CUDA_CPP_API CuSparseDnMatDescriptor
+      : public ConstCuSparseDescriptor<
+            cusparseDnMatDescr,
+            &cusparseDestroyDnMat> {
+   public:
+    explicit CuSparseDnMatDescriptor(
+        const Tensor& input,
+        int64_t batch_offset = -1);
+  };
+
+  class TORCH_CUDA_CPP_API CuSparseDnVecDescriptor
+      : public ConstCuSparseDescriptor<
+            cusparseDnVecDescr,
+            &cusparseDestroyDnVec> {
+   public:
+    explicit CuSparseDnVecDescriptor(const Tensor& input);
+  };
+
+  class TORCH_CUDA_CPP_API CuSparseSpMatDescriptor
+      : public ConstCuSparseDescriptor<
+            cusparseSpMatDescr,
+            &cusparseDestroySpMat> {};
+#endif // AT_USE_CUSPARSE_CONST_DESCRIPTORS()
+
+class TORCH_CUDA_CPP_API CuSparseSpMatCsrDescriptor
+    : public CuSparseSpMatDescriptor {
+ public:
+  explicit CuSparseSpMatCsrDescriptor(const Tensor& input, int64_t batch_offset = -1);
+
+  std::tuple<int64_t, int64_t, int64_t> get_size() {
+    int64_t rows, cols, nnz;
+    TORCH_CUDASPARSE_CHECK(cusparseSpMatGetSize(
+        this->descriptor(),
+        &rows,
+        &cols,
+        &nnz));
+    return std::make_tuple(rows, cols, nnz);
+  }
+
+  void set_tensor(const Tensor& input) {
+    auto crow_indices = input.crow_indices();
+    auto col_indices = input.col_indices();
+    auto values = input.values();
+
+    TORCH_INTERNAL_ASSERT_DEBUG_ONLY(crow_indices.is_contiguous());
+    TORCH_INTERNAL_ASSERT_DEBUG_ONLY(col_indices.is_contiguous());
+    TORCH_INTERNAL_ASSERT_DEBUG_ONLY(values.is_contiguous());
+    TORCH_CUDASPARSE_CHECK(cusparseCsrSetPointers(
+        this->descriptor(),
+        crow_indices.data_ptr(),
+        col_indices.data_ptr(),
+        values.data_ptr()));
+  }
+
+#if AT_USE_CUSPARSE_GENERIC_SPSV()
+  void set_mat_fill_mode(bool upper) {
+    cusparseFillMode_t fill_mode =
+        upper ? CUSPARSE_FILL_MODE_UPPER : CUSPARSE_FILL_MODE_LOWER;
+    TORCH_CUDASPARSE_CHECK(cusparseSpMatSetAttribute(
+        this->descriptor(),
+        CUSPARSE_SPMAT_FILL_MODE,
+        &fill_mode,
+        sizeof(fill_mode)));
+  }
+
+  void set_mat_diag_type(bool unit) {
+    cusparseDiagType_t diag_type =
+        unit ? CUSPARSE_DIAG_TYPE_UNIT : CUSPARSE_DIAG_TYPE_NON_UNIT;
+    TORCH_CUDASPARSE_CHECK(cusparseSpMatSetAttribute(
+        this->descriptor(),
+        CUSPARSE_SPMAT_DIAG_TYPE,
+        &diag_type,
+        sizeof(diag_type)));
+  }
+#endif
+};
+
+#if AT_USE_CUSPARSE_GENERIC_SPSV()
+class TORCH_CUDA_CPP_API CuSparseSpSVDescriptor
+    : public CuSparseDescriptor<cusparseSpSVDescr, &cusparseSpSV_destroyDescr> {
+ public:
+  CuSparseSpSVDescriptor() {
+    cusparseSpSVDescr_t raw_descriptor;
+    TORCH_CUDASPARSE_CHECK(cusparseSpSV_createDescr(&raw_descriptor));
+    descriptor_.reset(raw_descriptor);
+  }
+};
+#endif
+
+#if AT_USE_CUSPARSE_GENERIC_SPSM()
+class TORCH_CUDA_CPP_API CuSparseSpSMDescriptor
+    : public CuSparseDescriptor<cusparseSpSMDescr, &cusparseSpSM_destroyDescr> {
+ public:
+  CuSparseSpSMDescriptor() {
+    cusparseSpSMDescr_t raw_descriptor;
+    TORCH_CUDASPARSE_CHECK(cusparseSpSM_createDescr(&raw_descriptor));
+    descriptor_.reset(raw_descriptor);
+  }
+};
+#endif
+
+#if (defined(USE_ROCM) && ROCM_VERSION >= 50200) || !defined(USE_ROCM)
+class TORCH_CUDA_CPP_API CuSparseSpGEMMDescriptor
+    : public CuSparseDescriptor<cusparseSpGEMMDescr, &cusparseSpGEMM_destroyDescr> {
+ public:
+  CuSparseSpGEMMDescriptor() {
+    cusparseSpGEMMDescr_t raw_descriptor;
+    TORCH_CUDASPARSE_CHECK(cusparseSpGEMM_createDescr(&raw_descriptor));
+    descriptor_.reset(raw_descriptor);
+  }
+};
+#endif
+
+#endif // AT_USE_CUSPARSE_GENERIC_API() || AT_USE_HIPSPARSE_GENERIC_API()
+
+} // namespace sparse
+} // namespace cuda
+} // namespace at

wemm/lib/python3.10/site-packages/torch/include/ATen/cuda/CUDATensorMethods.cuh

@@ -0,0 +1,15 @@
+#pragma once
+
+#include <ATen/Tensor.h>
+#include <c10/util/Half.h>
+
+#include <cuda.h>
+#include <cuda_runtime.h>
+#include <cuda_fp16.h>
+
+namespace at {
+template <>
+inline __half* Tensor::data() const {
+  return reinterpret_cast<__half*>(data<Half>());
+}
+} // namespace at

wemm/lib/python3.10/site-packages/torch/include/ATen/cuda/CUDAUtils.h

@@ -0,0 +1,20 @@
+#pragma once
+
+#include <ATen/cuda/CUDAContext.h>
+
+namespace at { namespace cuda {
+
+// Check if every tensor in a list of tensors matches the current
+// device.
+inline bool check_device(ArrayRef<Tensor> ts) {
+  if (ts.empty()) {
+    return true;
+  }
+  Device curDevice = Device(kCUDA, current_device());
+  for (const Tensor& t : ts) {
+    if (t.device() != curDevice) return false;
+  }
+  return true;
+}
+
+}} // namespace at::cuda

wemm/lib/python3.10/site-packages/torch/include/ATen/cuda/DeviceUtils.cuh

@@ -0,0 +1,115 @@
+#pragma once
+
+#include <cuda.h>
+#include <c10/util/complex.h>
+#include <c10/util/Half.h>
+
+__device__ __forceinline__ unsigned int ACTIVE_MASK()
+{
+#if !defined(USE_ROCM)
+    return __activemask();
+#else
+// will be ignored anyway
+    return 0xffffffff;
+#endif
+}
+
+#if defined(USE_ROCM)
+__device__ __forceinline__ unsigned long long int WARP_BALLOT(int predicate)
+{
+return __ballot(predicate);
+}
+#else
+__device__ __forceinline__ unsigned int WARP_BALLOT(int predicate, unsigned int mask = 0xffffffff)
+{
+#if !defined(USE_ROCM)
+    return __ballot_sync(mask, predicate);
+#else
+    return __ballot(predicate);
+#endif
+}
+#endif
+
+template <typename T>
+__device__ __forceinline__ T WARP_SHFL_XOR(T value, int laneMask, int width = warpSize, unsigned int mask = 0xffffffff)
+{
+#if !defined(USE_ROCM)
+    return __shfl_xor_sync(mask, value, laneMask, width);
+#else
+    return __shfl_xor(value, laneMask, width);
+#endif
+}
+
+template <typename T>
+__device__ __forceinline__ T WARP_SHFL(T value, int srcLane, int width = warpSize, unsigned int mask = 0xffffffff)
+{
+#if !defined(USE_ROCM)
+    return __shfl_sync(mask, value, srcLane, width);
+#else
+    return __shfl(value, srcLane, width);
+#endif
+}
+
+template <typename T>
+__device__ __forceinline__ T WARP_SHFL_UP(T value, unsigned int delta, int width = warpSize, unsigned int mask = 0xffffffff)
+{
+#if !defined(USE_ROCM)
+    return __shfl_up_sync(mask, value, delta, width);
+#else
+    return __shfl_up(value, delta, width);
+#endif
+}
+
+template <typename T>
+__device__ __forceinline__ T WARP_SHFL_DOWN(T value, unsigned int delta, int width = warpSize, unsigned int mask = 0xffffffff)
+{
+#if !defined(USE_ROCM)
+    return __shfl_down_sync(mask, value, delta, width);
+#else
+    return __shfl_down(value, delta, width);
+#endif
+}
+
+#if defined(USE_ROCM)
+template<>
+__device__ __forceinline__ int64_t WARP_SHFL_DOWN<int64_t>(int64_t value, unsigned int delta, int width , unsigned int mask)
+{
+  //(HIP doesn't support int64_t). Trick from https://devblogs.nvidia.com/faster-parallel-reductions-kepler/
+  int2 a = *reinterpret_cast<int2*>(&value);
+  a.x = __shfl_down(a.x, delta);
+  a.y = __shfl_down(a.y, delta);
+  return *reinterpret_cast<int64_t*>(&a);
+}
+#endif
+
+template<>
+__device__ __forceinline__ c10::Half WARP_SHFL_DOWN<c10::Half>(c10::Half value, unsigned int delta, int width, unsigned int mask)
+{
+  return c10::Half(WARP_SHFL_DOWN<unsigned short>(value.x, delta, width, mask), c10::Half::from_bits_t{});
+}
+
+template <typename T>
+__device__ __forceinline__ c10::complex<T> WARP_SHFL_DOWN(c10::complex<T> value, unsigned int delta, int width = warpSize, unsigned int mask = 0xffffffff)
+{
+#if !defined(USE_ROCM)
+    return c10::complex<T>(
+        __shfl_down_sync(mask, value.real_, delta, width),
+        __shfl_down_sync(mask, value.imag_, delta, width));
+#else
+    return c10::complex<T>(
+        __shfl_down(value.real_, delta, width),
+        __shfl_down(value.imag_, delta, width));
+#endif
+}
+
+/**
+ * For CC 3.5+, perform a load using __ldg
+ */
+template <typename T>
+__device__ __forceinline__ T doLdg(const T* p) {
+#if __CUDA_ARCH__ >= 350 && !defined(USE_ROCM)
+  return __ldg(p);
+#else
+  return *p;
+#endif
+}

wemm/lib/python3.10/site-packages/torch/include/ATen/cuda/NumericLimits.cuh

@@ -0,0 +1,121 @@
+#pragma once
+
+#include <cuda.h>
+#include <limits.h>
+#include <math.h>
+#include <float.h>
+
+// NumericLimits.cuh is a holder for numeric limits definitions of commonly used
+// types. This header is very specific to ROCm HIP and may be removed in the future.
+// This header is derived from the legacy THCNumerics.cuh.
+
+// The lower_bound and upper_bound constants are same as lowest and max for
+// integral types, but are -inf and +inf for floating point types. They are
+// useful in implementing min, max, etc.
+
+namespace at {
+
+template <typename T>
+struct numeric_limits {
+};
+
+// WARNING: the following at::numeric_limits definitions are there only to support
+//          HIP compilation for the moment. Use std::numeric_limits if you are not
+//          compiling for ROCm.
+//          from @colesbury: "The functions on numeric_limits aren't marked with
+//          __device__ which is why they don't work with ROCm. CUDA allows them
+//          because they're constexpr."
+
+namespace {
+  // ROCm doesn't like INFINITY too.
+  constexpr double inf = INFINITY;
+}
+
+template <>
+struct numeric_limits<bool> {
+  static inline __host__ __device__ bool lowest() { return false; }
+  static inline __host__ __device__ bool max() { return true; }
+  static inline __host__ __device__ bool lower_bound() { return false; }
+  static inline __host__ __device__ bool upper_bound() { return true; }
+};
+
+template <>
+struct numeric_limits<uint8_t> {
+  static inline __host__ __device__ uint8_t lowest() { return 0; }
+  static inline __host__ __device__ uint8_t max() { return UINT8_MAX; }
+  static inline __host__ __device__ uint8_t lower_bound() { return 0; }
+  static inline __host__ __device__ uint8_t upper_bound() { return UINT8_MAX; }
+};
+
+template <>
+struct numeric_limits<int8_t> {
+  static inline __host__ __device__ int8_t lowest() { return INT8_MIN; }
+  static inline __host__ __device__ int8_t max() { return INT8_MAX; }
+  static inline __host__ __device__ int8_t lower_bound() { return INT8_MIN; }
+  static inline __host__ __device__ int8_t upper_bound() { return INT8_MAX; }
+};
+
+template <>
+struct numeric_limits<int16_t> {
+  static inline __host__ __device__ int16_t lowest() { return INT16_MIN; }
+  static inline __host__ __device__ int16_t max() { return INT16_MAX; }
+  static inline __host__ __device__ int16_t lower_bound() { return INT16_MIN; }
+  static inline __host__ __device__ int16_t upper_bound() { return INT16_MAX; }
+};
+
+template <>
+struct numeric_limits<int32_t> {
+  static inline __host__ __device__ int32_t lowest() { return INT32_MIN; }
+  static inline __host__ __device__ int32_t max() { return INT32_MAX; }
+  static inline __host__ __device__ int32_t lower_bound() { return INT32_MIN; }
+  static inline __host__ __device__ int32_t upper_bound() { return INT32_MAX; }
+};
+
+template <>
+struct numeric_limits<int64_t> {
+#ifdef _MSC_VER
+  static inline __host__ __device__ int64_t lowest() { return _I64_MIN; }
+  static inline __host__ __device__ int64_t max() { return _I64_MAX; }
+  static inline __host__ __device__ int64_t lower_bound() { return _I64_MIN; }
+  static inline __host__ __device__ int64_t upper_bound() { return _I64_MAX; }
+#else
+  static inline __host__ __device__ int64_t lowest() { return INT64_MIN; }
+  static inline __host__ __device__ int64_t max() { return INT64_MAX; }
+  static inline __host__ __device__ int64_t lower_bound() { return INT64_MIN; }
+  static inline __host__ __device__ int64_t upper_bound() { return INT64_MAX; }
+#endif
+};
+
+template <>
+struct numeric_limits<at::Half> {
+  static inline __host__ __device__ at::Half lowest() { return at::Half(0xFBFF, at::Half::from_bits()); }
+  static inline __host__ __device__ at::Half max() { return at::Half(0x7BFF, at::Half::from_bits()); }
+  static inline __host__ __device__ at::Half lower_bound() { return at::Half(0xFC00, at::Half::from_bits()); }
+  static inline __host__ __device__ at::Half upper_bound() { return at::Half(0x7C00, at::Half::from_bits()); }
+};
+
+template <>
+struct numeric_limits<at::BFloat16> {
+  static inline __host__ __device__ at::BFloat16 lowest() { return at::BFloat16(0xFF7F, at::BFloat16::from_bits()); }
+  static inline __host__ __device__ at::BFloat16 max() { return at::BFloat16(0x7F7F, at::BFloat16::from_bits()); }
+  static inline __host__ __device__ at::BFloat16 lower_bound() { return at::BFloat16(0xFF80, at::BFloat16::from_bits()); }
+  static inline __host__ __device__ at::BFloat16 upper_bound() { return at::BFloat16(0x7F80, at::BFloat16::from_bits()); }
+};
+
+template <>
+struct numeric_limits<float> {
+  static inline __host__ __device__ float lowest() { return -FLT_MAX; }
+  static inline __host__ __device__ float max() { return FLT_MAX; }
+  static inline __host__ __device__ float lower_bound() { return -static_cast<float>(inf); }
+  static inline __host__ __device__ float upper_bound() { return static_cast<float>(inf); }
+};
+
+template <>
+struct numeric_limits<double> {
+  static inline __host__ __device__ double lowest() { return -DBL_MAX; }
+  static inline __host__ __device__ double max() { return DBL_MAX; }
+  static inline __host__ __device__ double lower_bound() { return -inf; }
+  static inline __host__ __device__ double upper_bound() { return inf; }
+};
+
+} // namespace at

wemm/lib/python3.10/site-packages/torch/include/ATen/native/Activation.h

@@ -0,0 +1,92 @@
+#pragma once
+
+#include <ATen/native/DispatchStub.h>
+#include <c10/util/Exception.h>
+#include <c10/util/string_view.h>
+
+namespace c10 {
+class Scalar;
+}
+
+namespace at {
+struct TensorIterator;
+struct TensorIteratorBase;
+class TensorBase;
+}
+
+namespace at { namespace native {
+
+// These constants control the approximation behavior of gelu function.
+enum GeluType {
+  None,             // Baseline Gelu
+  Tanh,             // Tahn Gelu Approximation
+  END
+};
+
+static GeluType get_gelutype_enum(const c10::string_view approximate) {
+  if (approximate == "none") {
+    return GeluType::None;
+  } else if (approximate == "tanh") {
+    return GeluType::Tanh;
+  } else {
+    TORCH_CHECK(false, "approximate argument must be either none or tanh.");
+  }
+}
+
+using structured_activation_fn = void (*)(TensorIteratorBase&);
+using structured_activation_backward_fn = void (*)(TensorIteratorBase&);
+
+using activation_fn = void (*)(TensorIterator&);
+using activation_backward_fn = void (*)(TensorIterator&);
+using softplus_fn = void (*)(TensorIteratorBase&, const c10::Scalar&, const c10::Scalar&);
+using softplus_backward_fn = void (*)(TensorIteratorBase&, const c10::Scalar&, const c10::Scalar&);
+using threshold_fn = void (*)(TensorIteratorBase&, const c10::Scalar&, const c10::Scalar&);
+using hardtanh_backward_fn = void (*)(TensorIterator&, const c10::Scalar&, const c10::Scalar&);
+using hardsigmoid_fn = void(*)(TensorIteratorBase&);
+using hardsigmoid_backward_fn = void(*)(TensorIteratorBase&);
+using hardswish_fn = void(*)(TensorIterator&);
+using hardswish_backward_fn = void(*)(TensorIterator&);
+using shrink_fn = void (*)(TensorIteratorBase&, const c10::Scalar&);
+using softshrink_fn = void (*)(TensorIteratorBase&, const c10::Scalar&);
+using shrink_backward_fn = void (*)(TensorIteratorBase&, const c10::Scalar&);
+using elu_fn = void (*)(TensorIteratorBase&, const c10::Scalar&, const c10::Scalar&, const c10::Scalar&);
+using elu_backward_fn = void (*)(TensorIteratorBase&, const c10::Scalar&, const c10::Scalar&, const c10::Scalar&, bool);
+using leaky_relu_fn = void (*)(TensorIteratorBase&, const c10::Scalar&);
+using leaky_relu_backward_fn = void (*)(TensorIteratorBase&, const c10::Scalar&);
+using log_sigmoid_cpu_fn = void (*)(TensorBase&, TensorBase&, const TensorBase&);
+using gelu_fn = void (*)(TensorIteratorBase&, GeluType);
+using gelu_backward_fn = void (*)(TensorIteratorBase&, GeluType);
+using glu_jvp_fn = void (*)(TensorIteratorBase&);
+
+DECLARE_DISPATCH(elu_fn, elu_stub);
+DECLARE_DISPATCH(elu_backward_fn, elu_backward_stub);
+DECLARE_DISPATCH(softplus_fn, softplus_stub);
+DECLARE_DISPATCH(softplus_backward_fn, softplus_backward_stub);
+DECLARE_DISPATCH(log_sigmoid_cpu_fn, log_sigmoid_cpu_stub);
+DECLARE_DISPATCH(activation_backward_fn, log_sigmoid_backward_stub);
+DECLARE_DISPATCH(threshold_fn, threshold_stub);
+DECLARE_DISPATCH(gelu_fn, GeluKernel);
+DECLARE_DISPATCH(gelu_backward_fn, GeluBackwardKernel);
+DECLARE_DISPATCH(hardtanh_backward_fn, hardtanh_backward_stub);
+DECLARE_DISPATCH(hardsigmoid_fn, hardsigmoid_stub);
+DECLARE_DISPATCH(hardsigmoid_backward_fn, hardsigmoid_backward_stub);
+DECLARE_DISPATCH(hardswish_fn, hardswish_stub);
+DECLARE_DISPATCH(hardswish_backward_fn, hardswish_backward_stub);
+DECLARE_DISPATCH(shrink_fn, hardshrink_stub);
+DECLARE_DISPATCH(softshrink_fn, softshrink_stub);
+DECLARE_DISPATCH(shrink_backward_fn, shrink_backward_stub);
+DECLARE_DISPATCH(leaky_relu_fn, leaky_relu_stub);
+DECLARE_DISPATCH(leaky_relu_backward_fn, leaky_relu_backward_stub);
+DECLARE_DISPATCH(structured_activation_fn, glu_stub);
+DECLARE_DISPATCH(activation_backward_fn, glu_backward_stub);
+DECLARE_DISPATCH(glu_jvp_fn, glu_jvp_stub);
+DECLARE_DISPATCH(structured_activation_fn, silu_stub);
+DECLARE_DISPATCH(structured_activation_backward_fn, silu_backward_stub);
+DECLARE_DISPATCH(structured_activation_fn, mish_stub);
+DECLARE_DISPATCH(activation_backward_fn, mish_backward_stub);
+DECLARE_DISPATCH(activation_fn, prelu_stub);
+DECLARE_DISPATCH(activation_backward_fn, prelu_backward_stub);
+
+} // namespace native
+
+} // namespace at

wemm/lib/python3.10/site-packages/torch/include/ATen/native/AdaptivePooling.h

@@ -0,0 +1,41 @@
+#pragma once
+
+#include <ATen/core/Tensor.h>
+#include <ATen/native/DispatchStub.h>
+#include <c10/util/ArrayRef.h>
+#include <c10/util/irange.h>
+#include <cmath>
+
+namespace at {
+
+namespace native {
+
+using adaptive_avg_pooling_fn = void(*)(Tensor& output, const Tensor& input, IntArrayRef output_size);
+using adaptive_avg_pooling_backward_fn = void(*)(Tensor& grad_input, const Tensor& grad_output);
+DECLARE_DISPATCH(adaptive_avg_pooling_fn, adaptive_avg_pool2d_kernel);
+DECLARE_DISPATCH(adaptive_avg_pooling_backward_fn, adaptive_avg_pool2d_backward_kernel);
+
+using adaptive_max_pooling_fn = void(*)(const Tensor& output, const Tensor& indices, const Tensor& input, IntArrayRef output_size);
+using adaptive_max_pooling_backward_fn = void(*)(const Tensor& grad_input, const Tensor& grad_output, const Tensor& indices);
+DECLARE_DISPATCH(adaptive_max_pooling_fn, adaptive_max_pool2d_kernel);
+DECLARE_DISPATCH(adaptive_max_pooling_backward_fn, adaptive_max_pool2d_backward_kernel);
+
+static inline int64_t start_index(int64_t a, int64_t b, int64_t c) {
+  return (a / b) * c + ((a % b) * c) / b;
+}
+
+static inline int64_t end_index(int64_t a, int64_t b, int64_t c) {
+  return 1 + ((a + 1) * c - 1) / b;
+}
+
+static inline void adaptive_pool_empty_output_check(const Tensor& gradOutput_, const char* arg_name) {
+  int64_t ndim = gradOutput_.ndimension();
+  for (const auto i : c10::irange(1, ndim)) {
+    TORCH_CHECK(gradOutput_.size(i) > 0,
+      arg_name, "(): Expected grad_output to have non-zero size for non-batch dimensions, "
+      "but grad_output has sizes ", gradOutput_.sizes(), " with dimension ", i,
+      " being empty");
+  }
+}
+
+}} // namespace at::native

wemm/lib/python3.10/site-packages/torch/include/ATen/native/BatchLinearAlgebra.h

@@ -0,0 +1,320 @@
+#pragma once
+
+#include <c10/util/Optional.h>
+#include <ATen/Config.h>
+#include <ATen/native/DispatchStub.h>
+
+// Forward declare TI
+namespace at {
+class Tensor;
+struct TensorIterator;
+
+namespace native {
+enum class TransposeType;
+}
+
+}
+
+namespace at { namespace native {
+
+enum class LapackLstsqDriverType : int64_t { Gels, Gelsd, Gelsy, Gelss};
+
+#if AT_BUILD_WITH_LAPACK()
+// Define per-batch functions to be used in the implementation of batched
+// linear algebra operations
+
+template <class scalar_t>
+void lapackCholesky(char uplo, int n, scalar_t *a, int lda, int *info);
+
+template <class scalar_t>
+void lapackCholeskyInverse(char uplo, int n, scalar_t *a, int lda, int *info);
+
+template <class scalar_t, class value_t=scalar_t>
+void lapackEig(char jobvl, char jobvr, int n, scalar_t *a, int lda, scalar_t *w, scalar_t* vl, int ldvl, scalar_t *vr, int ldvr, scalar_t *work, int lwork, value_t *rwork, int *info);
+
+template <class scalar_t>
+void lapackGeqrf(int m, int n, scalar_t *a, int lda, scalar_t *tau, scalar_t *work, int lwork, int *info);
+
+template <class scalar_t>
+void lapackOrgqr(int m, int n, int k, scalar_t *a, int lda, scalar_t *tau, scalar_t *work, int lwork, int *info);
+
+template <class scalar_t>
+void lapackOrmqr(char side, char trans, int m, int n, int k, scalar_t *a, int lda, scalar_t *tau, scalar_t *c, int ldc, scalar_t *work, int lwork, int *info);
+
+template <class scalar_t, class value_t = scalar_t>
+void lapackSyevd(char jobz, char uplo, int n, scalar_t* a, int lda, value_t* w, scalar_t* work, int lwork, value_t* rwork, int lrwork, int* iwork, int liwork, int* info);
+
+template <class scalar_t>
+void lapackGels(char trans, int m, int n, int nrhs,
+    scalar_t *a, int lda, scalar_t *b, int ldb,
+    scalar_t *work, int lwork, int *info);
+
+template <class scalar_t, class value_t = scalar_t>
+void lapackGelsd(int m, int n, int nrhs,
+    scalar_t *a, int lda, scalar_t *b, int ldb,
+    value_t *s, value_t rcond, int *rank,
+    scalar_t* work, int lwork,
+    value_t *rwork, int* iwork, int *info);
+
+template <class scalar_t, class value_t = scalar_t>
+void lapackGelsy(int m, int n, int nrhs,
+    scalar_t *a, int lda, scalar_t *b, int ldb,
+    int *jpvt, value_t rcond, int *rank,
+    scalar_t *work, int lwork, value_t* rwork, int *info);
+
+template <class scalar_t, class value_t = scalar_t>
+void lapackGelss(int m, int n, int nrhs,
+    scalar_t *a, int lda, scalar_t *b, int ldb,
+    value_t *s, value_t rcond, int *rank,
+    scalar_t *work, int lwork,
+    value_t *rwork, int *info);
+
+template <LapackLstsqDriverType, class scalar_t, class value_t = scalar_t>
+struct lapackLstsq_impl;
+
+template <class scalar_t, class value_t>
+struct lapackLstsq_impl<LapackLstsqDriverType::Gels, scalar_t, value_t> {
+  static void call(
+      char trans, int m, int n, int nrhs,
+      scalar_t *a, int lda, scalar_t *b, int ldb,
+      scalar_t *work, int lwork, int *info, // Gels flavor
+      int *jpvt, value_t rcond, int *rank, value_t* rwork, // Gelsy flavor
+      value_t *s, // Gelss flavor
+      int *iwork // Gelsd flavor
+      ) {
+    lapackGels<scalar_t>(
+        trans, m, n, nrhs,
+        a, lda, b, ldb,
+        work, lwork, info);
+  }
+};
+
+template <class scalar_t, class value_t>
+struct lapackLstsq_impl<LapackLstsqDriverType::Gelsy, scalar_t, value_t> {
+  static void call(
+      char trans, int m, int n, int nrhs,
+      scalar_t *a, int lda, scalar_t *b, int ldb,
+      scalar_t *work, int lwork, int *info, // Gels flavor
+      int *jpvt, value_t rcond, int *rank, value_t* rwork, // Gelsy flavor
+      value_t *s, // Gelss flavor
+      int *iwork // Gelsd flavor
+      ) {
+    lapackGelsy<scalar_t, value_t>(
+        m, n, nrhs,
+        a, lda, b, ldb,
+        jpvt, rcond, rank,
+        work, lwork, rwork, info);
+  }
+};
+
+template <class scalar_t, class value_t>
+struct lapackLstsq_impl<LapackLstsqDriverType::Gelsd, scalar_t, value_t> {
+  static void call(
+      char trans, int m, int n, int nrhs,
+      scalar_t *a, int lda, scalar_t *b, int ldb,
+      scalar_t *work, int lwork, int *info, // Gels flavor
+      int *jpvt, value_t rcond, int *rank, value_t* rwork, // Gelsy flavor
+      value_t *s, // Gelss flavor
+      int *iwork // Gelsd flavor
+      ) {
+    lapackGelsd<scalar_t, value_t>(
+        m, n, nrhs,
+        a, lda, b, ldb,
+        s, rcond, rank,
+        work, lwork,
+        rwork, iwork, info);
+  }
+};
+
+template <class scalar_t, class value_t>
+struct lapackLstsq_impl<LapackLstsqDriverType::Gelss, scalar_t, value_t> {
+  static void call(
+      char trans, int m, int n, int nrhs,
+      scalar_t *a, int lda, scalar_t *b, int ldb,
+      scalar_t *work, int lwork, int *info, // Gels flavor
+      int *jpvt, value_t rcond, int *rank, value_t* rwork, // Gelsy flavor
+      value_t *s, // Gelss flavor
+      int *iwork // Gelsd flavor
+      ) {
+    lapackGelss<scalar_t, value_t>(
+        m, n, nrhs,
+        a, lda, b, ldb,
+        s, rcond, rank,
+        work, lwork,
+        rwork, info);
+  }
+};
+
+template <LapackLstsqDriverType driver_type, class scalar_t, class value_t = scalar_t>
+void lapackLstsq(
+    char trans, int m, int n, int nrhs,
+    scalar_t *a, int lda, scalar_t *b, int ldb,
+    scalar_t *work, int lwork, int *info, // Gels flavor
+    int *jpvt, value_t rcond, int *rank, value_t* rwork, // Gelsy flavor
+    value_t *s, // Gelss flavor
+    int *iwork // Gelsd flavor
+    ) {
+  lapackLstsq_impl<driver_type, scalar_t, value_t>::call(
+      trans, m, n, nrhs,
+      a, lda, b, ldb,
+      work, lwork, info,
+      jpvt, rcond, rank, rwork,
+      s,
+      iwork);
+}
+
+template <class scalar_t>
+void lapackLuSolve(char trans, int n, int nrhs, scalar_t *a, int lda, int *ipiv, scalar_t *b, int ldb, int *info);
+
+template <class scalar_t>
+void lapackLu(int m, int n, scalar_t *a, int lda, int *ipiv, int *info);
+
+template <class scalar_t>
+void lapackLdlHermitian(
+    char uplo,
+    int n,
+    scalar_t* a,
+    int lda,
+    int* ipiv,
+    scalar_t* work,
+    int lwork,
+    int* info);
+
+template <class scalar_t>
+void lapackLdlSymmetric(
+    char uplo,
+    int n,
+    scalar_t* a,
+    int lda,
+    int* ipiv,
+    scalar_t* work,
+    int lwork,
+    int* info);
+
+template <class scalar_t>
+void lapackLdlSolveHermitian(
+    char uplo,
+    int n,
+    int nrhs,
+    scalar_t* a,
+    int lda,
+    int* ipiv,
+    scalar_t* b,
+    int ldb,
+    int* info);
+
+template <class scalar_t>
+void lapackLdlSolveSymmetric(
+    char uplo,
+    int n,
+    int nrhs,
+    scalar_t* a,
+    int lda,
+    int* ipiv,
+    scalar_t* b,
+    int ldb,
+    int* info);
+
+template<class scalar_t, class value_t=scalar_t>
+void lapackSvd(char jobz, int m, int n, scalar_t *a, int lda, value_t *s, scalar_t *u, int ldu, scalar_t *vt, int ldvt, scalar_t *work, int lwork, value_t *rwork, int *iwork, int *info);
+#endif
+
+#if AT_BUILD_WITH_BLAS()
+template <class scalar_t>
+void blasTriangularSolve(char side, char uplo, char trans, char diag, int n, int nrhs, scalar_t* a, int lda, scalar_t* b, int ldb);
+#endif
+
+using cholesky_fn = void (*)(const Tensor& /*input*/, const Tensor& /*info*/, bool /*upper*/);
+DECLARE_DISPATCH(cholesky_fn, cholesky_stub);
+
+using cholesky_inverse_fn = Tensor& (*)(Tensor& /*result*/, Tensor& /*infos*/, bool /*upper*/);
+
+DECLARE_DISPATCH(cholesky_inverse_fn, cholesky_inverse_stub);
+
+using linalg_eig_fn = void (*)(Tensor& /*eigenvalues*/, Tensor& /*eigenvectors*/, Tensor& /*infos*/, const Tensor& /*input*/, bool /*compute_eigenvectors*/);
+
+DECLARE_DISPATCH(linalg_eig_fn, linalg_eig_stub);
+
+using geqrf_fn = void (*)(const Tensor& /*input*/, const Tensor& /*tau*/);
+DECLARE_DISPATCH(geqrf_fn, geqrf_stub);
+
+using orgqr_fn = Tensor& (*)(Tensor& /*result*/, const Tensor& /*tau*/);
+DECLARE_DISPATCH(orgqr_fn, orgqr_stub);
+
+using ormqr_fn = void (*)(const Tensor& /*input*/, const Tensor& /*tau*/, const Tensor& /*other*/, bool /*left*/, bool /*transpose*/);
+DECLARE_DISPATCH(ormqr_fn, ormqr_stub);
+
+using linalg_eigh_fn = void (*)(
+    const Tensor& /*eigenvalues*/,
+    const Tensor& /*eigenvectors*/,
+    const Tensor& /*infos*/,
+    bool /*upper*/,
+    bool /*compute_eigenvectors*/);
+DECLARE_DISPATCH(linalg_eigh_fn, linalg_eigh_stub);
+
+using lstsq_fn = void (*)(
+    const Tensor& /*a*/,
+    Tensor& /*b*/,
+    Tensor& /*rank*/,
+    Tensor& /*singular_values*/,
+    Tensor& /*infos*/,
+    double /*rcond*/,
+    std::string /*driver_name*/);
+DECLARE_DISPATCH(lstsq_fn, lstsq_stub);
+
+using triangular_solve_fn = void (*)(
+    const Tensor& /*A*/,
+    const Tensor& /*B*/,
+    bool /*left*/,
+    bool /*upper*/,
+    TransposeType /*transpose*/,
+    bool /*unitriangular*/);
+DECLARE_DISPATCH(triangular_solve_fn, triangular_solve_stub);
+
+using lu_factor_fn = void (*)(
+    const Tensor& /*input*/,
+    const Tensor& /*pivots*/,
+    const Tensor& /*infos*/,
+    bool /*compute_pivots*/);
+DECLARE_DISPATCH(lu_factor_fn, lu_factor_stub);
+
+using unpack_pivots_fn = void(*)(
+  TensorIterator& iter,
+  const int64_t dim_size,
+  const int64_t max_pivot);
+DECLARE_DISPATCH(unpack_pivots_fn, unpack_pivots_stub);
+
+using lu_solve_fn = void (*)(
+    const Tensor& /*LU*/,
+    const Tensor& /*pivots*/,
+    const Tensor& /*B*/,
+    TransposeType /*trans*/);
+DECLARE_DISPATCH(lu_solve_fn, lu_solve_stub);
+
+using ldl_factor_fn = void (*)(
+    const Tensor& /*LD*/,
+    const Tensor& /*pivots*/,
+    const Tensor& /*info*/,
+    bool /*upper*/,
+    bool /*hermitian*/);
+DECLARE_DISPATCH(ldl_factor_fn, ldl_factor_stub);
+
+using svd_fn = void (*)(
+    const Tensor& /*A*/,
+    const bool /*full_matrices*/,
+    const bool /*compute_uv*/,
+    const c10::optional<c10::string_view>& /*driver*/,
+    const Tensor& /*U*/,
+    const Tensor& /*S*/,
+    const Tensor& /*Vh*/,
+    const Tensor& /*info*/);
+DECLARE_DISPATCH(svd_fn, svd_stub);
+
+using ldl_solve_fn = void (*)(
+    const Tensor& /*LD*/,
+    const Tensor& /*pivots*/,
+    const Tensor& /*result*/,
+    bool /*upper*/,
+    bool /*hermitian*/);
+DECLARE_DISPATCH(ldl_solve_fn, ldl_solve_stub);
+}} // namespace at::native

wemm/lib/python3.10/site-packages/torch/include/ATen/native/BinaryOps.h

@@ -0,0 +1,117 @@
+#pragma once
+
+#include <ATen/core/TensorBase.h>
+#include <ATen/native/DispatchStub.h>
+#include <c10/core/Scalar.h>
+
+namespace at {
+struct TensorIterator;
+struct TensorIteratorBase;
+}
+
+namespace at { namespace native {
+
+inline void alpha_check(const ScalarType dtype, const Scalar& alpha) {
+  TORCH_CHECK(! alpha.isBoolean() || dtype == ScalarType::Bool,
+              "Boolean alpha only supported for Boolean results.");
+  TORCH_CHECK(isFloatingType(dtype) || isComplexType(dtype)
+              || alpha.isIntegral(true),
+              "For integral input tensors, argument alpha must not be a floating point number.");
+  TORCH_CHECK(isComplexType(dtype) || !alpha.isComplex(),
+              "For non-complex input tensors, argument alpha must not be a complex number.")
+}
+
+// Basic checking for all sub functions.
+inline void sub_check(const TensorBase& self, const TensorBase& other) {
+  TORCH_CHECK(self.scalar_type() != kBool || other.scalar_type() != kBool,
+              "Subtraction, the `-` operator, with two bool tensors is not supported. "
+              "Use the `^` or `logical_xor()` operator instead.")
+  TORCH_CHECK(self.scalar_type() != kBool && other.scalar_type() != kBool,
+              "Subtraction, the `-` operator, with a bool tensor is not supported. "
+              "If you are trying to invert a mask, use the `~` or `logical_not()` operator instead.");
+}
+
+inline void sub_check(const TensorBase& self, const Scalar& scalar) {
+  TORCH_CHECK(self.scalar_type() != kBool || !scalar.isBoolean(),
+              "Subtraction, the `-` operator, with two bool tensors is not supported. "
+              "Use the `^` or `logical_xor()` operator instead.")
+  TORCH_CHECK(self.scalar_type() != kBool && !scalar.isBoolean(),
+              "Subtraction, the `-` operator, with a bool tensor is not supported. "
+              "If you are trying to invert a mask, use the `~` or `logical_not()` operator instead.");
+}
+
+using structured_binary_fn_alpha = void(*)(TensorIteratorBase&, const Scalar& alpha);
+using structured_binary_fn_double = void(*)(TensorIteratorBase&, double);
+using structured_binary_fn = void(*)(TensorIteratorBase&);
+
+using binary_fn_alpha = void(*)(TensorIteratorBase&, const Scalar& alpha);
+using binary_fn_double = void(*)(TensorIterator&, double);
+using binary_fn = void(*)(TensorIterator&);
+using binary_clamp_fn_alpha =
+    void(*)(TensorIterator&, const Scalar& alpha, const Scalar& min_val, const Scalar& max_val);
+
+// NB: codegenned
+DECLARE_DISPATCH(structured_binary_fn_alpha, add_stub);
+
+DECLARE_DISPATCH(binary_clamp_fn_alpha, add_clamp_stub);
+DECLARE_DISPATCH(structured_binary_fn_alpha, sub_stub);
+DECLARE_DISPATCH(structured_binary_fn, mul_stub);
+DECLARE_DISPATCH(structured_binary_fn, div_true_stub);
+DECLARE_DISPATCH(structured_binary_fn, div_floor_stub);
+DECLARE_DISPATCH(structured_binary_fn, div_trunc_stub);
+DECLARE_DISPATCH(structured_binary_fn, atan2_stub);
+DECLARE_DISPATCH(structured_binary_fn, remainder_stub);
+DECLARE_DISPATCH(structured_binary_fn, bitwise_and_stub);
+DECLARE_DISPATCH(structured_binary_fn, bitwise_or_stub);
+DECLARE_DISPATCH(structured_binary_fn, bitwise_xor_stub);
+DECLARE_DISPATCH(structured_binary_fn, lshift_stub);
+DECLARE_DISPATCH(structured_binary_fn, rshift_stub);
+DECLARE_DISPATCH(binary_fn, logical_xor_stub);
+DECLARE_DISPATCH(binary_fn, logical_and_stub);
+DECLARE_DISPATCH(binary_fn, logical_or_stub);
+DECLARE_DISPATCH(structured_binary_fn, lt_stub);
+DECLARE_DISPATCH(structured_binary_fn, le_stub);
+DECLARE_DISPATCH(structured_binary_fn, gt_stub);
+DECLARE_DISPATCH(structured_binary_fn, ge_stub);
+DECLARE_DISPATCH(structured_binary_fn, eq_stub);
+DECLARE_DISPATCH(structured_binary_fn, ne_stub);
+DECLARE_DISPATCH(binary_fn, max_elementwise_stub);
+DECLARE_DISPATCH(binary_fn, min_elementwise_stub);
+DECLARE_DISPATCH(structured_binary_fn, maximum_stub);
+DECLARE_DISPATCH(structured_binary_fn, minimum_stub);
+DECLARE_DISPATCH(structured_binary_fn, fmax_stub);
+DECLARE_DISPATCH(structured_binary_fn, fmin_stub);
+DECLARE_DISPATCH(structured_binary_fn_double, smooth_l1_stub);
+DECLARE_DISPATCH(binary_fn_double, huber_stub);
+DECLARE_DISPATCH(structured_binary_fn, sigmoid_backward_stub);
+DECLARE_DISPATCH(binary_fn_alpha, logit_backward_stub);
+DECLARE_DISPATCH(structured_binary_fn, tanh_backward_stub);
+DECLARE_DISPATCH(structured_binary_fn, mse_stub);
+DECLARE_DISPATCH(structured_binary_fn, fmod_stub);
+DECLARE_DISPATCH(structured_binary_fn, logaddexp_stub);
+DECLARE_DISPATCH(structured_binary_fn, logaddexp2_stub);
+DECLARE_DISPATCH(structured_binary_fn, gcd_stub);
+DECLARE_DISPATCH(structured_binary_fn, lcm_stub);
+DECLARE_DISPATCH(structured_binary_fn, hypot_stub);
+DECLARE_DISPATCH(structured_binary_fn, igamma_stub);
+DECLARE_DISPATCH(structured_binary_fn, igammac_stub);
+DECLARE_DISPATCH(structured_binary_fn, nextafter_stub);
+DECLARE_DISPATCH(structured_binary_fn, heaviside_stub);
+DECLARE_DISPATCH(structured_binary_fn, copysign_stub);
+DECLARE_DISPATCH(structured_binary_fn, xlogy_stub);
+DECLARE_DISPATCH(structured_binary_fn, xlog1py_stub);
+DECLARE_DISPATCH(structured_binary_fn, zeta_stub);
+DECLARE_DISPATCH(structured_binary_fn, chebyshev_polynomial_t_stub);
+DECLARE_DISPATCH(structured_binary_fn, chebyshev_polynomial_u_stub);
+DECLARE_DISPATCH(structured_binary_fn, chebyshev_polynomial_v_stub);
+DECLARE_DISPATCH(structured_binary_fn, chebyshev_polynomial_w_stub);
+DECLARE_DISPATCH(structured_binary_fn, hermite_polynomial_h_stub);
+DECLARE_DISPATCH(structured_binary_fn, hermite_polynomial_he_stub);
+DECLARE_DISPATCH(structured_binary_fn, laguerre_polynomial_l_stub);
+DECLARE_DISPATCH(structured_binary_fn, legendre_polynomial_p_stub);
+DECLARE_DISPATCH(structured_binary_fn, shifted_chebyshev_polynomial_t_stub);
+DECLARE_DISPATCH(structured_binary_fn, shifted_chebyshev_polynomial_u_stub);
+DECLARE_DISPATCH(structured_binary_fn, shifted_chebyshev_polynomial_v_stub);
+DECLARE_DISPATCH(structured_binary_fn, shifted_chebyshev_polynomial_w_stub);
+
+}} // namespace at::native

wemm/lib/python3.10/site-packages/torch/include/ATen/native/BucketizationUtils.h

@@ -0,0 +1,167 @@
+#pragma once
+
+#include <ATen/core/Tensor.h>
+#include <ATen/native/TypeProperties.h>
+#include <ATen/ScalarOps.h>
+
+#ifndef AT_PER_OPERATOR_HEADERS
+#include <ATen/NativeFunctions.h>
+#else
+#include <ATen/ops/result_type.h>
+#endif
+
+namespace at {
+namespace native {
+
+// original values given by raw_*. If an original value is not contiguous, will make a contiguous copy to
+// the corresponding trimmed_* value. Additionally, if the dtypes of the boundary and input tensor do not
+// match, will change them to be a common super type so comparisons are done between the same types.
+// For any trimmed_* tensor, if its outgoing value matches what it was incoming (typically null), then the
+// corresponding raw_* version should be used since it was already contiguous of the right type.
+inline void searchsorted_maybe_trim_input_tensors(
+    Tensor& trimmed_input,
+    Tensor& trimmed_boundaries,
+    Tensor& trimmed_sorter,
+    const Tensor& raw_input,
+    const Tensor& raw_boundaries,
+    const Tensor& raw_sorter) {
+  bool in_is_contiguous = raw_input.is_contiguous();
+  bool bd_is_contiguous = raw_boundaries.is_contiguous();
+  bool sort_is_contiguous = raw_sorter.is_contiguous();
+
+  if (!in_is_contiguous) {
+    TORCH_WARN_ONCE("torch.searchsorted(): input value tensor is non-contiguous, this will lower the performance due "
+      "to extra data copy when converting non-contiguous tensor to contiguous, please use contiguous input value "
+      "tensor if possible. This message will only appear once per program.");
+    trimmed_input = raw_input.contiguous();
+  }
+  if (!bd_is_contiguous) {
+    TORCH_WARN_ONCE("torch.searchsorted(): boundary tensor is non-contiguous, this will lower the performance due "
+      "to extra data copy when converting non-contiguous tensor to contiguous, please use contiguous boundary "
+      "tensor if possible. This message will only appear once per program.");
+    trimmed_boundaries = raw_boundaries.contiguous();
+  }
+  if (!sort_is_contiguous) {
+    TORCH_WARN_ONCE("torch.searchsorted(): sorter tensor is non-contiguous, this will lower the performance due "
+      "to extra data copy when converting non-contiguous tensor to contiguous, please use contiguous sorter "
+      "tensor if possible. This message will only appear once per program.");
+    trimmed_sorter = raw_sorter.contiguous();
+  }
+  if (raw_input.dtype() != raw_boundaries.dtype()) {
+    at::native::ResultTypeState state = {};
+    state = at::native::update_result_type_state(raw_boundaries, state);
+    state = at::native::update_result_type_state(raw_input, state);
+    ScalarType common_stype = at::native::result_type(state);
+
+    TORCH_INTERNAL_ASSERT(common_stype != ScalarType::Undefined);
+    if (common_stype != raw_input.scalar_type()) {
+      trimmed_input = in_is_contiguous ? raw_input.to(common_stype) : trimmed_input.to(common_stype);
+    }
+    if (common_stype != raw_boundaries.scalar_type()) {
+      trimmed_boundaries = bd_is_contiguous ? raw_boundaries.to(common_stype) : trimmed_boundaries.to(common_stype);
+    }
+  }
+}
+
+/* unused but needed for internal jagged tensor class */
+inline void searchsorted_maybe_trim_input_tensors(
+    Tensor& trimmed_input,
+    Tensor& trimmed_boundaries,
+    const Tensor& raw_input,
+    const Tensor& raw_boundaries) {
+  Tensor trimmed_sorter;
+  Tensor raw_sorter;
+  return searchsorted_maybe_trim_input_tensors(
+      trimmed_input,
+      trimmed_boundaries,
+      trimmed_sorter,
+      raw_input,
+      raw_boundaries,
+      raw_sorter);
+}
+
+inline bool searchsorted_dims_matched_before_last_dim(const Tensor& boundaries, const Tensor& input) {
+  if (boundaries.dim() != input.dim()) {
+    return false;
+  }
+  const auto& dims_bd = boundaries.sizes();
+  const auto& dims_in = input.sizes();
+  for (int64_t dim = 0; dim + 1 < boundaries.dim(); ++dim) {
+    if (dims_bd[dim] != dims_in[dim]) {
+      return false;
+    }
+  }
+  return true;
+}
+
+inline Tensor searchsorted_scalar_tensor(const Scalar& scalar, const c10::Device& device) {
+  auto tensor = c10::scalar_to_tensor(scalar, device);
+  // This is to adopt the scalar promotion rules defined in native/TypeProperties.h
+  // So we have the same type promotion rules as binary operations.
+  tensor.unsafeGetTensorImpl()->set_wrapped_number(true);
+  return tensor;
+}
+
+inline void searchsorted_pre_check(
+    const Tensor& boundaries,
+    const Tensor& input,
+    const Tensor& output,
+    const bool out_int32,
+    const bool right,
+    const c10::optional<c10::string_view> side_opt,
+    const Tensor& sorter) {
+  if (side_opt) {
+    const c10::string_view side = *side_opt;
+    TORCH_CHECK(side == "left" || side == "right", "torch.searchsorted(): side can only be 'left' or 'right' but ",
+      "got ", side);
+
+    // assume the user has not explicitly set (right=False, side="right")
+    TORCH_CHECK(!right || side == "right", "torch.searchsorted(): side and right can't be set to opposites, got side "
+    "of ", side, " while right was True");
+  }
+
+  TORCH_CHECK(boundaries.device() == input.device(), "torch.searchsorted(): boundaries and input value tensors ",
+    "should have same device type, but got boundaries tensor device type ", boundaries.device(), " and input value ",
+    "tensor device type ", input.device());
+
+  if (sorter.defined()) {
+    TORCH_CHECK(sorter.device() == boundaries.device(), "torch.searchsorted(): sorter and boundary tensors should ",
+      "have same device type, but got sorter tensor device type ", sorter.device(), " and input value tensor ",
+      "device type ", boundaries.device());
+
+    TORCH_CHECK(sorter.sizes() == boundaries.sizes(), "torch.searchsorted(): boundary and sorter must have the same "
+      "size, but got boundary tensor ", boundaries.sizes(), "and got sorter tensor ", sorter.sizes());
+
+    TORCH_CHECK(sorter.scalar_type() == ScalarType::Long, "torch.searchsorted(): sorter must be a tensor of long ",
+      "dtype but got dtype ", sorter.scalar_type());
+  }
+
+  TORCH_CHECK(input.dim() > 0 || (input.dim() == 0 && input.numel() == 1 && boundaries.dim() == 1),
+    "torch.searchsorted(): input value can be a scalar only when boundaries tensor dimension is 1, but we got ",
+    "boundaries tensor dim(", boundaries.dim(), ") and input value's dim(", input.dim(), ") numel(",
+    input.numel(), ")");
+
+  TORCH_CHECK(boundaries.dim() != 0, "torch.searchsorted(): boundaries tensor should have positive dimension, but ",
+    "got 0 dimension");
+
+  TORCH_CHECK(boundaries.dim() == 1 || searchsorted_dims_matched_before_last_dim(boundaries, input),
+    "torch.searchsorted(): boundaries tensor should be 1 dimension or the first N-1 dimensions of boundaries tensor ",
+    "and input value tensor must match, but we got boundaries tensor ", boundaries.sizes(), " and input value tensor ",
+    input.sizes());
+
+  ScalarType output_dtype = output.scalar_type();
+  TORCH_CHECK(
+      (output_dtype == ScalarType::Long && !out_int32) ||
+          (output_dtype == ScalarType::Int && out_int32),
+      "torch.searchsorted(): output tensor's dtype is wrong, it can only be Int(int32) or Long(int64) depending on ",
+      "whether out_int32 flag is True, but we got output tensor's dtype ", output_dtype,
+      " and out_int32 flag is ", (out_int32 ? "True" : "False"));
+
+  if (out_int32) {
+    TORCH_CHECK(boundaries.sizes().back() < INT_MAX,
+      "torch.searchsorted(): the size of boundaries' last dimension should be less than ", INT_MAX, ", but we got ",
+      boundaries.sizes().back());
+  }
+}
+
+}}

wemm/lib/python3.10/site-packages/torch/include/ATen/native/CPUBlas.h

@@ -0,0 +1,164 @@
+#pragma once
+
+#include <ATen/OpMathType.h>
+#include <ATen/native/DispatchStub.h>
+#include <ATen/native/TransposeType.h>
+#include <c10/util/complex.h>
+#include <c10/core/ScalarType.h>
+#include <c10/core/Scalar.h>
+
+namespace at {
+namespace native {
+namespace cpublas {
+
+namespace internal {
+void normalize_last_dims(
+  TransposeType transa, TransposeType transb,
+  int64_t m, int64_t n, int64_t k,
+  int64_t *lda, int64_t *ldb, int64_t *ldc);
+}  // namespace internal
+
+using gemm_fn = void(*)(
+    at::ScalarType type,
+    TransposeType transa, TransposeType transb,
+    int64_t m, int64_t n, int64_t k,
+    const Scalar& alpha,
+    const void *a, int64_t lda,
+    const void *b, int64_t ldb,
+    const Scalar& beta,
+    void *c, int64_t ldc);
+
+DECLARE_DISPATCH(gemm_fn, gemm_stub);
+
+template <typename scalar_t>
+void gemm(
+    TransposeType transa, TransposeType transb,
+    int64_t m, int64_t n, int64_t k,
+    at::opmath_type<scalar_t> alpha,
+    const scalar_t *a, int64_t lda,
+    const scalar_t *b, int64_t ldb,
+    at::opmath_type<scalar_t> beta,
+    scalar_t *c, int64_t ldc) {
+  internal::normalize_last_dims(transa, transb, m, n, k, &lda, &ldb, &ldc);
+  gemm_stub(
+    kCPU, c10::CppTypeToScalarType<scalar_t>::value,
+    transa, transb, m, n, k, alpha, a, lda, b, ldb, beta, c, ldc);
+}
+
+void gemm(
+    TransposeType transa, TransposeType transb,
+    int64_t m, int64_t n, int64_t k,
+    double alpha,
+    const double *a, int64_t lda,
+    const double *b, int64_t ldb,
+    double beta,
+    double *c, int64_t ldc);
+
+void gemm(
+    TransposeType transa, TransposeType transb,
+    int64_t m, int64_t n, int64_t k,
+    float alpha,
+    const float *a, int64_t lda,
+    const float *b, int64_t ldb,
+    float beta,
+    float *c, int64_t ldc);
+
+void gemm(
+    TransposeType transa, TransposeType transb,
+    int64_t m, int64_t n, int64_t k,
+    float alpha,
+    const at::BFloat16 *a, int64_t lda,
+    const at::BFloat16 *b, int64_t ldb,
+    float beta,
+    at::BFloat16 *c, int64_t ldc);
+
+void gemm(
+    TransposeType transa, TransposeType transb,
+    int64_t m, int64_t n, int64_t k,
+    c10::complex<double> alpha,
+    const c10::complex<double> *a, int64_t lda,
+    const c10::complex<double> *b, int64_t ldb,
+    c10::complex<double> beta,
+    c10::complex<double> *c, int64_t ldc);
+
+void gemm(
+    TransposeType transa, TransposeType transb,
+    int64_t m, int64_t n, int64_t k,
+    c10::complex<float> alpha,
+    const c10::complex<float> *a, int64_t lda,
+    const c10::complex<float> *b, int64_t ldb,
+    c10::complex<float> beta,
+    c10::complex<float> *c, int64_t ldc);
+
+void gemm(
+    TransposeType transa, TransposeType transb,
+    int64_t m, int64_t n, int64_t k,
+    int64_t alpha,
+    const int64_t *a, int64_t lda,
+    const int64_t *b, int64_t ldb,
+    int64_t beta,
+    int64_t *c, int64_t ldc);
+
+template <typename scalar_t>
+void gemm_batched(
+    TransposeType transa, TransposeType transb,
+    int64_t batch_size, int64_t m, int64_t n, int64_t k,
+    scalar_t alpha,
+    const scalar_t * const *a, int64_t lda,
+    const scalar_t * const *b, int64_t ldb,
+    const scalar_t beta,
+    scalar_t * const *c, int64_t ldc);
+
+template <typename scalar_t>
+void gemm_batched_with_stride(
+    TransposeType transa, TransposeType transb,
+    int64_t batch_size, int64_t m, int64_t n, int64_t k,
+    scalar_t alpha,
+    const scalar_t *a, int64_t lda, int64_t batch_stride_a,
+    const scalar_t *b, int64_t ldb, int64_t batch_stride_b,
+    scalar_t beta,
+    scalar_t *c, int64_t ldc, int64_t batch_stride_c);
+
+using axpy_fn = void(*)(at::ScalarType type, int64_t n, const Scalar& a, const void *x, int64_t incx, void *y, int64_t incy);
+
+DECLARE_DISPATCH(axpy_fn, axpy_stub);
+
+template<typename scalar_t>
+void axpy(int64_t n, scalar_t a, const scalar_t *x, int64_t incx, scalar_t *y, int64_t incy){
+  if(n == 1)
+  {
+    incx = 1;
+    incy = 1;
+  }
+  axpy_stub(
+      kCPU, c10::CppTypeToScalarType<scalar_t>::value,
+      n, a, x, incx, y, incy);
+}
+
+void axpy(int64_t n, double a, const double *x, int64_t incx, double *y, int64_t incy);
+void axpy(int64_t n, float a, const float *x, int64_t incx, float *y, int64_t incy);
+void axpy(int64_t n, c10::complex<double> a, const c10::complex<double> *x, int64_t incx, c10::complex<double> *y, int64_t incy);
+void axpy(int64_t n, c10::complex<float> a, const c10::complex<float> *x, int64_t incx, c10::complex<float> *y, int64_t incy);
+
+using copy_fn = void(*)(at::ScalarType type, int64_t n, const void *x, int64_t incx, void *y, int64_t incy);
+
+DECLARE_DISPATCH(copy_fn, copy_stub);
+
+template<typename scalar_t>
+void copy(int64_t n, const scalar_t *x, int64_t incx, scalar_t *y, int64_t incy) {
+  if(n == 1)
+  {
+    incx = 1;
+    incy = 1;
+  }
+  copy_stub(
+      kCPU, c10::CppTypeToScalarType<scalar_t>::value,
+      n, x, incx, y, incy);
+}
+
+void copy(int64_t n, const double *x, int64_t incx, double *y, int64_t incy);
+void copy(int64_t n, const float *x, int64_t incx, float *y, int64_t incy);
+void copy(int64_t n, const c10::complex<double> *x, int64_t incx, c10::complex<double> *y, int64_t incy);
+void copy(int64_t n, const c10::complex<float> *x, int64_t incx, c10::complex<float> *y, int64_t incy);
+
+}}}  // namespace at::native::cpublas

wemm/lib/python3.10/site-packages/torch/include/ATen/native/CPUFallback.h

@@ -0,0 +1,46 @@
+#pragma once
+
+#include <ATen/core/ivalue.h>
+#include <ATen/core/stack.h>
+#include <ATen/core/boxing/KernelFunction.h>
+#include <ATen/core/dispatch/Dispatcher.h>
+#include <c10/util/Metaprogramming.h>
+#include <torch/library.h>
+
+namespace at { namespace native {
+
+// This function implements a boxed fallback to CPU.
+// External backends can add their own custom logging on top if it to customize their own CPU fallbacks.
+TORCH_API void cpu_fallback(const c10::OperatorHandle& op, torch::jit::Stack* stack);
+
+// This is a helper function that backends can use to directly call their boxed CPU fallback
+// TODO: update and add a usage example after https://github.com/pytorch/pytorch/pull/58092 lands.
+template<c10::KernelFunction::BoxedKernelFunction* fallback_fn, class Op, bool symint, class ReturnType, class... ParameterTypes>
+struct _call_fallback_fn final {};
+
+template<c10::KernelFunction::BoxedKernelFunction* fallback_fn, class Op, bool symint, class ReturnType, class... ParameterTypes>
+struct _call_fallback_fn<fallback_fn, Op, symint, ReturnType(ParameterTypes...)> final {
+    static ReturnType call(typename c10::maybe_keep_symint<symint, ParameterTypes>::type... args) {
+        auto op = c10::Dispatcher::singleton()
+            // TODO: figure out how to make compiler happy without dynamic casts
+            .findSchemaOrThrow((const char*) Op::name, (const char*) Op::overload_name)
+            //.findSchemaOrThrow("a", "b")
+            .typed<ReturnType (typename c10::maybe_keep_symint<symint, ParameterTypes>::type...)>();
+        return c10::impl::BoxedKernelWrapper<ReturnType (typename c10::maybe_keep_symint<symint, ParameterTypes>::type...)>::call(
+            c10::BoxedKernel::makeFromFunction<fallback_fn>(),
+            op,
+            c10::DispatchKeySet(), // we know that the cpu_fallback doesn't use the dispatch keyset.
+            // TODO: get std::forward<> to work
+            args...
+            );
+    }
+};
+
+template<c10::KernelFunction::BoxedKernelFunction* fallback_fn, class Op>
+using call_fallback_fn_symint = _call_fallback_fn<fallback_fn, Op, true, typename Op::schema>;
+
+template<c10::KernelFunction::BoxedKernelFunction* fallback_fn, class Op>
+using call_fallback_fn = _call_fallback_fn<fallback_fn, Op, false, typename Op::schema>;
+
+} // namespace native
+} // namespace at

wemm/lib/python3.10/site-packages/torch/include/ATen/native/ComplexHelper.h

@@ -0,0 +1,97 @@
+#pragma once
+
+#include <ATen/core/Tensor.h>
+#include <c10/util/irange.h>
+
+#ifndef AT_PER_OPERATOR_HEADERS
+#include <ATen/NativeFunctions.h>
+#else
+#include <ATen/ops/view_as_real_native.h>
+#include <ATen/ops/view_as_complex_native.h>
+
+#include <utility>
+#endif
+
+// WARNING: this header contains non-inline functions and should be only
+// included from ONE cpp file
+
+namespace at { namespace native {
+
+// View tensor with new dtype, storage offset, sizes and strides
+inline Tensor view_tensor(
+    const Tensor &tensor, ScalarType dtype,
+    c10::SymInt offset, SymIntArrayRef sizes, SymIntArrayRef strides) {
+  Storage storage = tensor.storage();
+  auto key_set = tensor.key_set().remove(DispatchKey::Conjugate);
+  auto new_tensor = detail::make_tensor<TensorImpl>(
+      c10::TensorImpl::VIEW, std::move(storage), key_set, scalarTypeToTypeMeta(dtype));
+  auto * impl = new_tensor.unsafeGetTensorImpl();
+  impl->set_sizes_and_strides(sizes, strides, offset);
+  return new_tensor;
+}
+
+inline SymDimVector computeStrideForViewAsReal(SymIntArrayRef oldstride) {
+  SymDimVector res(oldstride.size() + 1);
+  for (const auto i : c10::irange(oldstride.size())) {
+    res[i] = oldstride[i] * 2;
+  }
+  res.back() = 1;
+  return res;
+}
+
+Tensor _view_as_real_physical(const Tensor& self) {
+  TORCH_CHECK(self.is_complex(), "view_as_real is only supported for complex tensors");
+  auto old_sizes = self.sym_sizes();
+  SymDimVector new_sizes(old_sizes.size() + 1);
+  std::copy(old_sizes.begin(), old_sizes.end(), new_sizes.begin());
+  // last dimension will always have two elements containing the real and imag vals
+  new_sizes.back() = 2;
+  auto new_strides = computeStrideForViewAsReal(self.sym_strides());
+  auto new_storage_offset = self.sym_storage_offset() * 2;
+  const auto float_type = c10::toRealValueType(self.scalar_type());
+  auto real_tensor = view_tensor(self, float_type, std::move(new_storage_offset), new_sizes, new_strides);
+  return real_tensor;
+}
+
+// expects as input a complex tensor and returns back a tensor
+// with corresponding real dtype containing the complex values
+// in the last two dimensions
+Tensor view_as_real(const Tensor& self) {
+  TORCH_CHECK(!self.is_conj(), "view_as_real doesn't work on unresolved conjugated tensors.  To resolve the conjugate tensor so you can view it as real, use self.resolve_conj(); however, be warned that the resulting tensor will NOT alias the original.");
+  return _view_as_real_physical(self);
+}
+
+inline SymDimVector computeStrideForViewAsComplex(SymIntArrayRef oldstride) {
+  const int64_t dim = oldstride.size();
+  TORCH_CHECK(oldstride[dim-1] == 1, "Tensor must have a last dimension with stride 1");
+
+  SymDimVector res(dim - 1);
+  for (const auto i : c10::irange(res.size())) {
+    TORCH_CHECK(oldstride[i] % 2 == 0, "Tensor must have a stride divisible by 2 for all but last dimension");
+    res[i] = oldstride[i] / 2;
+  }
+  return res;
+}
+
+// expects as input a float or double tensor with last dimension of size 2
+// and returns back a tensor with corresponding complex dtype
+Tensor view_as_complex(const Tensor& self) {
+  TORCH_CHECK(
+    self.scalar_type() == kFloat || self.scalar_type() == kDouble || self.scalar_type() == kHalf,
+    "view_as_complex is only supported for half, float and double tensors, but got a tensor of scalar type: ", self.scalar_type());
+
+  auto old_sizes = self.sym_sizes();
+  TORCH_CHECK(!old_sizes.empty(), "Input tensor must have one or more dimensions");
+  TORCH_CHECK(old_sizes[old_sizes.size()-1] == 2, "Tensor must have a last dimension of size 2");
+  SymDimVector new_sizes(old_sizes.begin(), old_sizes.end() - 1);
+
+  const auto new_strides = computeStrideForViewAsComplex(self.sym_strides());
+  const auto complex_type = c10::toComplexType(self.scalar_type());
+
+  TORCH_CHECK(self.sym_storage_offset() % 2 == 0, "Tensor must have a storage_offset divisible by 2");
+  const auto new_storage_offset = self.sym_storage_offset() / 2;
+
+  return view_tensor(self, complex_type, new_storage_offset, new_sizes, new_strides);
+}
+
+}} // namespace at::native

wemm/lib/python3.10/site-packages/torch/include/ATen/native/CompositeRandomAccessor.h

@@ -0,0 +1,34 @@
+#pragma once
+
+#include <ATen/native/CompositeRandomAccessorCommon.h>
+
+namespace at { namespace native {
+
+struct TupleInfoCPU {
+  template <typename ...Types>
+  using tuple = std::tuple<Types...>;
+
+  template <typename ...Types>
+  static constexpr auto tie(Types&... args) noexcept {
+    return std::tie(args...);
+  }
+};
+
+template <typename KeyAccessor, typename ValueAccessor>
+using CompositeRandomAccessorCPU =
+  CompositeRandomAccessor<KeyAccessor, ValueAccessor, TupleInfoCPU>;
+
+template <typename Values, typename References>
+void swap(
+  references_holder<Values, References> rh1,
+  references_holder<Values, References> rh2
+) {
+  return std::swap(rh1.data(), rh2.data());
+}
+
+template <int N, typename Values, typename References>
+auto get(references_holder<Values, References> rh) -> decltype(std::get<N>(rh.data())) {
+  return std::get<N>(rh.data());
+}
+
+}} // namespace at::native

wemm/lib/python3.10/site-packages/torch/include/ATen/native/CompositeRandomAccessorCommon.h

@@ -0,0 +1,263 @@
+#include <utility>
+
+#pragma once
+
+namespace at { namespace native {
+
+namespace {
+
+// operator_brackets_proxy is used in
+// CompositeRandomAccessor in place of operator[].
+// For some iterators, references returned by operator[]
+// could become invalid, operator_brackets_proxy tries to
+// resolve that by making accessor[n] to be equivalent to
+// *(accessor + n).
+template <typename Accessor>
+class operator_brackets_proxy {
+  using reference = typename std::iterator_traits<Accessor>::reference;
+  using value_type = typename std::iterator_traits<Accessor>::value_type;
+
+public:
+  C10_HOST_DEVICE
+  operator_brackets_proxy(Accessor const& accessor)
+    : accessor(accessor)
+  {}
+
+  C10_HOST_DEVICE
+  operator reference() {
+    return *accessor;
+  }
+
+  C10_HOST_DEVICE
+  reference operator*() {
+    return *accessor;
+  }
+
+  C10_HOST_DEVICE
+  operator_brackets_proxy& operator=(value_type const& val) {
+    *accessor = val;
+    return *this;
+  }
+
+private:
+  Accessor accessor;
+};
+
+}
+
+// references_holder is used as a surrogate for the
+// references type from std::iterator_traits in CompositeRandomAccessor.
+// It is assumed in CompositeRandomAccessor that
+// References = tuple<Types&...>,
+// Values = tuple<Types...> by default,
+// but they could be anything as long as References could be
+// cast to Values.
+// If you plan to use it with STL, for example, you will need to
+// define 'swap` and `get`(aka std::get) methods.
+template <typename Values, typename References>
+class references_holder {
+public:
+  using values = Values;
+  using references = References;
+
+  C10_HOST_DEVICE
+  references_holder(references refs)
+    : refs{std::move(refs)}
+  {}
+
+  C10_HOST_DEVICE
+  operator references() {
+    return refs;
+  }
+
+  C10_HOST_DEVICE
+  operator values() {
+    return refs;
+  }
+
+  C10_HOST_DEVICE
+  references_holder& operator=(values vals) {
+    refs = vals;
+    return *this;
+  }
+
+  C10_HOST_DEVICE
+  references& data() {
+    return refs;
+  }
+
+protected:
+  references refs;
+};
+
+// CompositeRandomAccessor is essentially a simplified version of
+// a random access iterator over two random access iterators.
+// TupleInfo should contain a variadic type `tuple`, and a method `tie`,
+// which constructs a tuple of references from a variadic list of arguments.
+template <typename KeyAccessor, typename ValueAccessor, typename TupleInfo>
+class CompositeRandomAccessor {
+  using self_type = CompositeRandomAccessor<KeyAccessor, ValueAccessor, TupleInfo>;
+
+  using key_accessor_value_type =
+    typename std::iterator_traits<KeyAccessor>::value_type;
+  using value_accessor_value_type =
+    typename std::iterator_traits<ValueAccessor>::value_type;
+  using key_accessor_reference_type =
+    typename std::iterator_traits<KeyAccessor>::reference;
+  using value_accessor_reference_type =
+    typename std::iterator_traits<ValueAccessor>::reference;
+
+  using composite_value_type = typename TupleInfo::template tuple<
+    key_accessor_value_type,
+    value_accessor_value_type>;
+  using composite_reference = typename TupleInfo::template tuple<
+    key_accessor_reference_type,
+    value_accessor_reference_type>;
+
+public:
+  using value_type = composite_value_type;
+  using reference = references_holder<composite_value_type, composite_reference>;
+  // Note that CompositeRandomAccessor does not hold key and values
+  // in a specific datastrcture, which means that a pointer to a (key, value)
+  // is not defined. Hence we just use a pointer type of the KeyAccessor.
+  using pointer = typename std::iterator_traits<KeyAccessor>::pointer;
+  using difference_type = typename std::iterator_traits<KeyAccessor>::difference_type;
+  using iterator_category = std::random_access_iterator_tag;
+
+  C10_HOST_DEVICE
+  CompositeRandomAccessor() = default;
+
+  C10_HOST_DEVICE
+  CompositeRandomAccessor(KeyAccessor keys, ValueAccessor values)
+    : keys(keys), values(values)
+  {}
+
+  // Pointer-like operations {
+  C10_HOST_DEVICE
+  reference operator*() const {
+    return TupleInfo::tie(*keys, *values);
+  }
+
+  // operator->() is supposed to return a pointer type.
+  // Since CompositeRandomAccessor does not hold pointers to pairs,
+  // we just return a pointer to a key.
+  C10_HOST_DEVICE
+  auto* operator->() const {
+    return keys.operator->();
+  }
+
+  C10_HOST_DEVICE
+  reference operator[](difference_type idx) {
+    return operator_brackets_proxy<self_type>(
+      CompositeRandomAccessor(keys + idx, values + idx)
+    );
+  }
+  // }
+
+  // Prefix/postfix increment/decrement {
+  C10_HOST_DEVICE
+  CompositeRandomAccessor& operator++() {
+    ++keys;
+    ++values;
+    return *this;
+  }
+
+  C10_HOST_DEVICE
+  CompositeRandomAccessor operator++(int) {
+    CompositeRandomAccessor copy(*this);
+    ++*this;
+    return copy;
+  }
+
+  C10_HOST_DEVICE
+  CompositeRandomAccessor& operator--() {
+    --keys;
+    --values;
+    return *this;
+  }
+
+  C10_HOST_DEVICE
+  CompositeRandomAccessor operator--(int) {
+    CompositeRandomAccessor copy(*this);
+    --*this;
+    return copy;
+  }
+  // }
+
+  // Arithmetic operations {
+  C10_HOST_DEVICE
+  CompositeRandomAccessor& operator+=(difference_type offset) {
+    keys += offset;
+    values += offset;
+    return *this;
+  }
+
+  C10_HOST_DEVICE
+  CompositeRandomAccessor operator+(difference_type offset) const {
+    return CompositeRandomAccessor(keys + offset, values + offset);
+  }
+
+  C10_HOST_DEVICE
+  friend CompositeRandomAccessor operator+(
+    difference_type offset,
+    const CompositeRandomAccessor& accessor
+  ) {
+    return accessor + offset;
+  }
+
+  C10_HOST_DEVICE
+  CompositeRandomAccessor& operator-=(difference_type offset) {
+    keys -= offset;
+    values -= offset;
+    return *this;
+  }
+
+  C10_HOST_DEVICE
+  CompositeRandomAccessor operator-(difference_type offset) const {
+    return CompositeRandomAccessor(keys - offset, values - offset);
+  }
+
+  C10_HOST_DEVICE
+  difference_type operator-(const CompositeRandomAccessor& other) const {
+    return keys - other.keys;
+  }
+  // }
+
+  // Comparison operators {
+  C10_HOST_DEVICE
+  bool operator==(const CompositeRandomAccessor& other) const {
+    return keys == other.keys;
+  }
+
+  C10_HOST_DEVICE
+  bool operator!=(const CompositeRandomAccessor& other) const {
+    return keys != other.keys;
+  }
+
+  C10_HOST_DEVICE
+  bool operator<(const CompositeRandomAccessor& other) const {
+    return keys < other.keys;
+  }
+
+  C10_HOST_DEVICE
+  bool operator<=(const CompositeRandomAccessor& other) const {
+    return keys <= other.keys;
+  }
+
+  C10_HOST_DEVICE
+  bool operator>(const CompositeRandomAccessor& other) const {
+    return keys > other.keys;
+  }
+
+  C10_HOST_DEVICE
+  bool operator>=(const CompositeRandomAccessor& other) const {
+    return keys >= other.keys;
+  }
+  // }
+
+protected:
+  KeyAccessor keys;
+  ValueAccessor values;
+};
+
+}} // namespace at::native

wemm/lib/python3.10/site-packages/torch/include/ATen/native/ConvUtils.h

@@ -0,0 +1,405 @@
+#pragma once
+#include <ATen/core/Tensor.h>
+#include <ATen/TensorUtils.h>
+#include <ATen/detail/CUDAHooksInterface.h>
+#include <ATen/native/DispatchStub.h>
+#include <c10/util/env.h>
+#include <c10/util/irange.h>
+
+namespace at { namespace native {
+
+using conv_depthwise2d_backward_fn = std::tuple<at::Tensor,at::Tensor>(*)(
+    const at::Tensor&, const at::Tensor&, const at::Tensor&, at::IntArrayRef, at::IntArrayRef,
+    at::IntArrayRef, at::IntArrayRef, std::array<bool, 2>);
+DECLARE_DISPATCH(conv_depthwise2d_backward_fn, conv_depthwise2d_backward_stub);
+using conv_depthwise3d_backward_fn = std::tuple<at::Tensor,at::Tensor,at::Tensor>(*)(
+    const at::Tensor&, const at::Tensor&, const at::Tensor&, at::IntArrayRef, at::IntArrayRef,
+    at::IntArrayRef, at::IntArrayRef, std::array<bool, 3>);
+DECLARE_DISPATCH(conv_depthwise3d_backward_fn, conv_depthwise3d_backward_stub);
+using cudnn_convolution_backward_fn = std::tuple<at::Tensor,at::Tensor>(*)(
+    const at::Tensor&, const at::Tensor&, const at::Tensor&, at::IntArrayRef, at::IntArrayRef,
+    at::IntArrayRef, int64_t, bool, bool, bool, std::array<bool,2>);
+DECLARE_DISPATCH(cudnn_convolution_backward_fn, cudnn_convolution_backward_stub);
+using mps_convolution_backward_fn = std::tuple<at::Tensor,at::Tensor,at::Tensor>(*)(
+    const at::Tensor&, const at::Tensor&, const at::Tensor&, at::IntArrayRef, at::IntArrayRef,
+    at::IntArrayRef, int64_t, std::array<bool,3>);
+DECLARE_DISPATCH(mps_convolution_backward_fn, mps_convolution_backward_stub);
+using cudnn_convolution_transpose_backward_fn = std::tuple<at::Tensor,at::Tensor>(*)(
+    const at::Tensor&, const at::Tensor&, const at::Tensor&, at::IntArrayRef, at::IntArrayRef,
+    at::IntArrayRef, at::IntArrayRef, int64_t, bool, bool, bool, std::array<bool,2>);
+DECLARE_DISPATCH(cudnn_convolution_transpose_backward_fn, cudnn_convolution_transpose_backward_stub);
+using miopen_convolution_backward_fn = std::tuple<at::Tensor,at::Tensor,at::Tensor>(*)(
+    const at::Tensor&, const at::Tensor&, const at::Tensor&, at::IntArrayRef, at::IntArrayRef,
+    at::IntArrayRef, int64_t, bool, bool, std::array<bool,3>);
+DECLARE_DISPATCH(miopen_convolution_backward_fn, miopen_convolution_backward_stub);
+using miopen_convolution_transpose_backward_fn = std::tuple<at::Tensor,at::Tensor,at::Tensor>(*)(
+    const at::Tensor&, const at::Tensor&, const at::Tensor&, at::IntArrayRef, at::IntArrayRef,
+    at::IntArrayRef, at::IntArrayRef, int64_t, bool, bool, std::array<bool,3>);
+DECLARE_DISPATCH(miopen_convolution_transpose_backward_fn, miopen_convolution_transpose_backward_stub);
+using miopen_depthwise_convolution_backward_fn = std::tuple<at::Tensor,at::Tensor,at::Tensor>(*)(
+    const at::Tensor&, const at::Tensor&, const at::Tensor&, at::IntArrayRef, at::IntArrayRef,
+    at::IntArrayRef, int64_t, bool, bool, std::array<bool,3>);
+DECLARE_DISPATCH(miopen_depthwise_convolution_backward_fn, miopen_depthwise_convolution_backward_stub);
+using mkldnn_convolution_backward_fn = std::tuple<at::Tensor,at::Tensor,at::Tensor>(*)(
+    const at::Tensor&, const at::Tensor&, const at::Tensor&, at::IntArrayRef, at::IntArrayRef,
+    at::IntArrayRef, int64_t, std::array<bool,3>);
+DECLARE_DISPATCH(mkldnn_convolution_backward_fn, mkldnn_convolution_backward_stub);
+using mkldnn_convolution_transpose_fn = Tensor(*)(const Tensor&, const Tensor&, const c10::optional<Tensor>&,
+    IntArrayRef, IntArrayRef, IntArrayRef, IntArrayRef, int64_t);
+DECLARE_DISPATCH(mkldnn_convolution_transpose_fn, mkldnn_convolution_transpose_stub);
+using mkldnn_convolution_transpose_backward_fn = std::tuple<at::Tensor,at::Tensor,at::Tensor>(*)(
+    const at::Tensor&, const at::Tensor&, const at::Tensor&, at::IntArrayRef, at::IntArrayRef,
+    at::IntArrayRef, at::IntArrayRef, int64_t, std::array<bool,3>);
+DECLARE_DISPATCH(mkldnn_convolution_transpose_backward_fn, mkldnn_convolution_transpose_backward_stub);
+using slow_conv_dilated2d_backward_fn = std::tuple<at::Tensor,at::Tensor,at::Tensor>(*)(
+    const at::Tensor&, const at::Tensor&, const at::Tensor&, at::IntArrayRef, at::IntArrayRef,
+    at::IntArrayRef, at::IntArrayRef, std::array<bool, 3>);
+DECLARE_DISPATCH(slow_conv_dilated2d_backward_fn, slow_conv_dilated2d_backward_stub);
+using slow_conv_dilated3d_backward_fn = std::tuple<at::Tensor,at::Tensor,at::Tensor>(*)(
+    const at::Tensor&, const at::Tensor&, const at::Tensor&, at::IntArrayRef, at::IntArrayRef,
+    at::IntArrayRef, at::IntArrayRef, std::array<bool, 3>);
+DECLARE_DISPATCH(slow_conv_dilated3d_backward_fn, slow_conv_dilated3d_backward_stub);
+using slow_conv_transpose2d_backward_fn = std::tuple<at::Tensor,at::Tensor,at::Tensor>(*)(
+    const at::Tensor&, const at::Tensor&, const at::Tensor&, at::IntArrayRef, at::IntArrayRef,
+    at::IntArrayRef, at::IntArrayRef, at::IntArrayRef, std::array<bool,3>);
+DECLARE_DISPATCH(slow_conv_transpose2d_backward_fn, slow_conv_transpose2d_backward_stub);
+using slow_conv_transpose3d_backward_fn = std::tuple<at::Tensor,at::Tensor,at::Tensor>(*)(
+    const at::Tensor&, const at::Tensor&, const at::Tensor&, at::IntArrayRef, at::IntArrayRef,
+    at::IntArrayRef, at::IntArrayRef, at::IntArrayRef, std::array<bool,3>);
+DECLARE_DISPATCH(slow_conv_transpose3d_backward_fn, slow_conv_transpose3d_backward_stub);
+
+namespace {
+  static bool cudnnv8_heuristic_mode_b = c10::utils::check_env("TORCH_CUDNN_USE_HEURISTIC_MODE_B") == true;
+}
+
+static inline bool cudnnv8_enabled_check_debug() {
+  static bool cudnnv8_flag = c10::utils::check_env("TORCH_CUDNN_V8_API_DISABLED") != true;
+  static bool cudnnv8_debug = c10::utils::check_env("TORCH_CUDNN_V8_API_DEBUG") == true;
+  static uint8_t cudnnv8_debugcount = 0;
+  if (cudnnv8_debug == 1 && cudnnv8_debugcount < 10) {
+    TORCH_WARN("TORCH_CUDNN_V8_DEBUG ON, V8 ON: ", cudnnv8_flag, " TORCH_CUDNN_USE_HEURISTIC_MODE B: ", cudnnv8_heuristic_mode_b);
+    cudnnv8_debugcount++;
+  }
+  return cudnnv8_flag == 1;
+}
+
+static inline bool cudnnv8_use_heur_mode_b() {
+  return cudnnv8_heuristic_mode_b;
+}
+
+// Keep in sync with py::enum_ in Module.cpp
+enum class ConvBackend {
+  CudaDepthwise2d,
+  CudaDepthwise3d,
+  Cudnn,
+  CudnnTranspose,
+  Empty,
+  Miopen,
+  MiopenDepthwise,
+  MiopenTranspose,
+  Mkldnn,
+  MkldnnTranspose,
+  MkldnnEmpty,
+  NnpackSpatial,
+  Overrideable,
+  Slow2d,
+  Slow3d,
+  SlowDilated2d,
+  SlowDilated3d,
+  SlowTranspose2d,
+  SlowTranspose3d,
+  Winograd3x3Depthwise,
+  Xnnpack2d,
+  Mps,
+  MpsTranspose,
+};
+
+// Overload for selecting the convolution backend from the full set of convolution inputs.
+// This overload is exposed to python for testing, etc.
+TORCH_API ConvBackend select_conv_backend(
+    const Tensor& input, const Tensor& weight, const c10::optional<Tensor>& bias_opt,
+    IntArrayRef stride, SymIntArrayRef padding, IntArrayRef dilation,
+    bool transposed, SymIntArrayRef output_padding, int64_t groups, const at::OptionalSymIntArrayRef bias_sizes_opt);
+
+TORCH_API at::MemoryFormat _determine_backend_memory_format(const Tensor& input,
+    const Tensor& weight,
+    const ConvBackend backend);
+
+// ---------------------------------------------------------------------
+//
+// Math
+//
+// ---------------------------------------------------------------------
+
+constexpr int input_batch_size_dim = 0;  // also grad_input
+constexpr int input_channels_dim = 1;
+constexpr int output_batch_size_dim = 0;  // also grad_output
+constexpr int output_channels_dim = 1;
+constexpr int weight_output_channels_dim = 0;
+constexpr int weight_input_channels_dim = 1;
+
+// Often written as 2 + max_dim (extra dims for batch size and channels)
+constexpr int max_dim = 3;
+
+// ---------------------------------------------------------------------
+//
+// Checking
+//
+// ---------------------------------------------------------------------
+
+// Used on pad, stride and dilation
+static void check_args(CheckedFrom c, IntArrayRef args, size_t expected_size, const char* arg_name)
+{
+  TORCH_CHECK(args.size() <= expected_size,
+           "Too many ", arg_name, " values (", args.size(), ") supplied, expecting ",
+           expected_size, " (while checking arguments for ", c, ")");
+  TORCH_CHECK(args.size() >= expected_size,
+           "Not enough ", arg_name, " values (", args.size(), ") supplied, expecting ",
+           expected_size, " (while checking arguments for ", c, ")");
+
+  auto num_negative_values = std::count_if(args.begin(), args.end(), [](int x){return x < 0;});
+  if (num_negative_values > 0){
+    std::stringstream ss;
+    ss << arg_name << " should be greater than zero but got (";
+    std::copy(args.begin(), args.end() - 1, std::ostream_iterator<int>(ss,", "));
+    ss << args.back() <<  ")" << " (while checking arguments for " << c << ")";
+    AT_ERROR(ss.str());
+  }
+}
+
+
+// NOTE [ Convolution checks ]
+//
+// NB: For many call sites, it is not strictly necessary to check all of
+// these relationships (for example, for forward convolution, we compute
+// the size of output ourselves, so we don't actually need to check
+// output.  However, writing a single function that does everything
+// means we get to reuse it for both forwards and all backwards
+// variants, even when the set of "real" inputs varies.  The magic of
+// relational computing!
+//
+// (There is one downside, which is that it is slightly harder to write
+// error messages which are able to distinguish between real inputs
+// (which the user can change) and computed inputs (which the user can
+// only indirectly affect).  It would be an interesting exercise to
+// come up with a general framework to handle such situations.)
+static void convolution_shape_check(
+    CheckedFrom c,
+    const TensorGeometryArg& input, const TensorGeometryArg& weight, const TensorGeometryArg& output,
+    IntArrayRef padding, IntArrayRef stride, IntArrayRef dilation, int64_t groups)
+{
+  check_args(c, padding, input->dim() - 2, "padding");
+  check_args(c, stride, padding.size(), "stride");
+  check_args(c, dilation, padding.size(), "dilation");
+
+  // Input
+  checkDimRange(c, input, 3, 6 /* exclusive */);
+  checkSize_symint(c, input, input_channels_dim, weight->size(1) * groups);
+
+  // Weight
+  checkSameDim(c, input, weight);
+
+  // TODO: check that output->size() matches output_sizes
+  // TODO: check that weight matches output->sizes()
+  checkSameDim(c, input, output);
+}
+
+// NB: conv_output_size and conv_input_size are not bijections,
+// as conv_output_size loses information; this is why conv_input_size
+// takes an extra output_padding argument to resolve the ambiguity.
+
+template <typename T>
+static inline std::vector<T> _conv_output_size(
+    ArrayRef<T> input_size, ArrayRef<T> weight_size,
+    ArrayRef<T> padding, IntArrayRef stride, IntArrayRef dilation = IntArrayRef()
+) {
+  // ASSERT(input_size.size() > 2)
+  // ASSERT(input_size.size() == weight_size.size())
+  bool has_dilation = !dilation.empty();
+  auto dim = input_size.size();
+  std::vector<T> output_size(dim);
+  output_size[0] = input_size[input_batch_size_dim];
+  output_size[1] = weight_size[weight_output_channels_dim];
+  for (const auto d : c10::irange(2, dim)) {
+    auto dilation_ = has_dilation ? dilation[d - 2] : 1;
+    auto kernel = dilation_ * (weight_size[d] - 1) + 1;
+    output_size[d] = (input_size[d] + (2 * padding[d - 2]) - kernel) / stride[d - 2] + 1;
+  }
+  return output_size;
+}
+
+static inline std::vector<int64_t> conv_output_size(
+    IntArrayRef input_size, IntArrayRef weight_size,
+    IntArrayRef padding, IntArrayRef stride, IntArrayRef dilation = IntArrayRef()
+) {
+  return _conv_output_size(input_size, weight_size, padding, stride, dilation);
+}
+
+static inline std::vector<c10::SymInt> conv_output_size(
+    SymIntArrayRef input_size, SymIntArrayRef weight_size,
+    SymIntArrayRef padding, IntArrayRef stride, IntArrayRef dilation = IntArrayRef()
+) {
+  return _conv_output_size(input_size, weight_size, padding, stride, dilation);
+}
+
+template <typename T>
+std::vector<T> _conv_input_size(
+    ArrayRef<T> output_size, ArrayRef<T> weight_size,
+    ArrayRef<T> padding, ArrayRef<T> output_padding, IntArrayRef stride, IntArrayRef dilation, int64_t groups
+) {
+  // ASSERT(output_size.size() > 2)
+  // ASSERT(output_size.size() == weight_size.size())
+  auto dim = output_size.size();
+  std::vector<T> input_size(dim);
+  input_size[0] = output_size[output_batch_size_dim];
+  input_size[1] = weight_size[weight_input_channels_dim] * groups;
+  for (const auto d : c10::irange(2, dim)) {
+    auto kernel = (weight_size[d] - 1) * dilation[d - 2] + 1;
+    input_size[d] = (output_size[d] - 1) * stride[d - 2] - (padding[d - 2] * 2) +
+                     kernel + output_padding[d - 2];
+  }
+  return input_size;
+}
+
+static inline std::vector<c10::SymInt> conv_input_size(
+    SymIntArrayRef output_size, SymIntArrayRef weight_size,
+    SymIntArrayRef padding, SymIntArrayRef output_padding, IntArrayRef stride, IntArrayRef dilation, int64_t groups
+) {
+  return _conv_input_size(output_size, weight_size, padding, output_padding, stride, dilation, groups);
+}
+
+static inline std::vector<int64_t> conv_input_size(
+    IntArrayRef output_size, IntArrayRef weight_size,
+    IntArrayRef padding, IntArrayRef output_padding, IntArrayRef stride, IntArrayRef dilation, int64_t groups
+) {
+  return _conv_input_size(output_size, weight_size, padding, output_padding, stride, dilation, groups);
+}
+
+template <typename T>
+std::vector<T> _conv_weight_size(
+    ArrayRef<T> input_size, ArrayRef<T> output_size,
+    ArrayRef<T> padding, ArrayRef<T> output_padding, IntArrayRef stride, IntArrayRef dilation, int64_t groups
+) {
+  auto dim = input_size.size();
+  std::vector<T> weight_size(dim);
+  weight_size[0] = output_size[1];
+  weight_size[1] = input_size[1] / groups;
+  for (const auto d : c10::irange(2, dim)) {
+    auto kernel = input_size[d] - (output_size[d] - 1) * stride[d - 2]
+               + padding[d - 2] * 2 - output_padding[d - 2];
+    weight_size[d] = (kernel - 1) / dilation[d - 2] + 1;
+  }
+  return weight_size;
+}
+
+static inline std::vector<c10::SymInt> conv_weight_size(
+    SymIntArrayRef input_size, SymIntArrayRef output_size,
+    SymIntArrayRef padding, SymIntArrayRef output_padding, IntArrayRef stride, IntArrayRef dilation, int64_t groups
+) {
+  return _conv_weight_size(input_size, output_size, padding, output_padding, stride, dilation, groups);
+}
+
+static inline std::vector<int64_t> conv_weight_size(
+    IntArrayRef input_size, IntArrayRef output_size,
+    IntArrayRef padding, IntArrayRef output_padding, IntArrayRef stride, IntArrayRef dilation, int64_t groups
+) {
+  return _conv_weight_size(input_size, output_size, padding, output_padding, stride, dilation, groups);
+}
+
+static inline Tensor reshape_bias(int64_t dim, const Tensor& bias) {
+  std::vector<int64_t> shape(dim, 1);
+  shape[1] = -1;
+  return bias.reshape(shape);
+}
+
+static inline at::MemoryFormat cudnn_conv_suggest_memory_format(const at::Tensor& input, const at::Tensor& weight) {
+  // disable NHWC for float64 input.
+  if (!at::detail::getCUDAHooks().compiledWithCuDNN() ||
+      input.scalar_type() == at::kDouble ||
+      weight.scalar_type() == at::kDouble) {
+    return at::MemoryFormat::Contiguous;
+  }
+  long cudnn_version = at::detail::getCUDAHooks().versionCuDNN();
+  auto input_memory_format = input.suggest_memory_format();
+  auto weight_memory_format = weight.suggest_memory_format();
+  auto weight_ndim = weight.ndimension();
+
+  bool can_use_cudnn_channels_last_2d = (cudnn_version >= 7603) && (weight_ndim == 4) && (
+    (input_memory_format  == at::MemoryFormat::ChannelsLast) ||
+    (weight_memory_format == at::MemoryFormat::ChannelsLast)
+  );
+  if (can_use_cudnn_channels_last_2d) {
+    return at::MemoryFormat::ChannelsLast;
+  }
+
+  bool can_use_cudnn_channels_last_3d = (cudnn_version >= 8005) && (weight_ndim == 5) && (
+    (input_memory_format  == at::MemoryFormat::ChannelsLast3d) ||
+    (weight_memory_format == at::MemoryFormat::ChannelsLast3d)
+  );
+  if (can_use_cudnn_channels_last_3d) {
+    return at::MemoryFormat::ChannelsLast3d;
+  }
+
+  return at::MemoryFormat::Contiguous;
+}
+
+static inline bool miopen_conv_use_channels_last(const at::Tensor& input, const at::Tensor& weight) {
+  // disable NHWC for float64 input.
+  if (!at::detail::getCUDAHooks().compiledWithMIOpen() ||
+      input.scalar_type() == at::kDouble ||
+      weight.scalar_type() == at::kDouble) {
+    return false;
+  }
+
+  auto input_memory_format = input.suggest_memory_format();
+  auto weight_memory_format = weight.suggest_memory_format();
+
+  bool can_use_miopen_channels_last_2d = (
+    (input_memory_format  == at::MemoryFormat::ChannelsLast) ||
+    (weight_memory_format == at::MemoryFormat::ChannelsLast)
+  );
+
+  bool can_use_miopen_channels_last_3d = false;
+
+  return can_use_miopen_channels_last_2d || can_use_miopen_channels_last_3d;
+}
+
+static inline bool mkldnn_conv_use_channels_last(const at::Tensor& input, const at::Tensor& weight) {
+
+  // disable NHWC for float64 input.
+  if (input.scalar_type() == at::kDouble ||
+      weight.scalar_type() == at::kDouble) {
+    return false;
+  }
+
+  // disable NHWC for MkldnnCPU tensor.
+  if (input.is_mkldnn() || weight.is_mkldnn()) {
+    return false;
+  }
+
+  auto input_memory_format = input.suggest_memory_format();
+  auto weight_memory_format = weight.suggest_memory_format();
+
+  bool can_use_mkldnn_channels_last_2d =
+      (input_memory_format  == at::MemoryFormat::ChannelsLast) ||
+      (weight_memory_format == at::MemoryFormat::ChannelsLast);
+
+  // TODO: add channels last 3d support
+  bool can_use_mkldnn_channels_last_3d = false;
+
+  return can_use_mkldnn_channels_last_2d || can_use_mkldnn_channels_last_3d;
+}
+
+static inline bool thnn_conv_use_channels_last(const at::Tensor& input, const at::Tensor& weight) {
+
+  auto input_memory_format = input.suggest_memory_format();
+  auto weight_memory_format = weight.suggest_memory_format();
+
+  bool can_use_thnn_channels_last_2d = input.device().is_cpu() && (
+      (input_memory_format  == at::MemoryFormat::ChannelsLast) || (
+       weight_memory_format == at::MemoryFormat::ChannelsLast));
+
+  return can_use_thnn_channels_last_2d;
+}
+
+}} // namespace at::native

wemm/lib/python3.10/site-packages/torch/include/ATen/native/ConvolutionMM3d.h

@@ -0,0 +1,15 @@
+#include <ATen/core/Tensor.h>
+
+namespace at {
+namespace native {
+
+std::tuple<Tensor, Tensor, Tensor> slow_conv3d_backward_cpu(
+    const Tensor& grad_output,
+    const Tensor& self,
+    const Tensor& weight,
+    IntArrayRef kernel_size,
+    IntArrayRef stride,
+    IntArrayRef padding,
+    std::array<bool, 3> output_mask);
+
+}} // namespace at::native

wemm/lib/python3.10/site-packages/torch/include/ATen/native/Cross.h

@@ -0,0 +1,14 @@
+#pragma once
+
+#include <ATen/native/DispatchStub.h>
+
+namespace at {
+class Tensor;
+
+namespace native {
+
+using cross_fn = void(*)(const Tensor&, const Tensor&, const Tensor&, const int64_t d);
+
+DECLARE_DISPATCH(cross_fn, cross_stub);
+
+}} // namespace at::native

wemm/lib/python3.10/site-packages/torch/include/ATen/native/DilatedConvolutionUtils.h

@@ -0,0 +1,233 @@
+#pragma once
+
+#include <algorithm>
+#include <vector>
+
+#include <ATen/div_rtn.h>
+#include <ATen/core/Tensor.h>
+#include <c10/util/irange.h>
+
+#define TORCH_CHECK_DIM_SIZE(T, DIM, DIM_SIZE, SIZE) \
+  TORCH_CHECK(                                       \
+      T.dim() == DIM && T.size(DIM_SIZE) == SIZE,    \
+      "Need " #T " of dimension ",                   \
+      DIM,                                           \
+      " and " #T ".size[",                           \
+      DIM_SIZE,                                      \
+      "] == ",                                       \
+      SIZE,                                          \
+      " but got input to be of shape ",              \
+      T.sizes())
+
+namespace at {
+namespace native {
+namespace internal {
+namespace {
+inline bool all_positive(IntArrayRef& arr) {
+  return std::all_of(
+      arr.begin(), arr.end(), [](int64_t item) { return item > 0; });
+}
+
+inline bool all_nonnegative(std::vector<int64_t>& arr) {
+  return std::all_of(
+      arr.begin(), arr.end(), [](int64_t item) { return item >= 0; });
+}
+
+} // namespace
+
+// calculate the rear part of output tensor sizes
+template <int64_t dim>
+std::vector<int64_t> get_output_size(
+    const Tensor& input,
+    IntArrayRef kernel_size,
+    IntArrayRef stride_size,
+    IntArrayRef pad_size,
+    IntArrayRef dilation_size) {
+  std::vector<int64_t> sizes;
+  for (const auto index : c10::irange(dim)) {
+    sizes.push_back(
+        div_rtn<int64_t>(
+            input.size(index + input.dim() - dim) + 2 * pad_size[index] -
+                (dilation_size[index] * (kernel_size[index] - 1) + 1),
+            stride_size[index]) +
+        1);
+  }
+  return sizes;
+}
+
+// calculate the sizes of output tensor
+template <int64_t dim>
+std::vector<int64_t> get_output_size(
+    const Tensor& input,
+    const Tensor& weight,
+    IntArrayRef kernel_size,
+    IntArrayRef stride_size,
+    IntArrayRef pad_size,
+    IntArrayRef dilation_size) {
+  auto output_size = get_output_size<dim>(
+      input, kernel_size, stride_size, pad_size, dilation_size);
+  output_size.insert(output_size.begin(), weight.size(0));
+  if (input.dim() == dim + 2) {
+    output_size.insert(output_size.begin(), input.size(0));
+  }
+  return output_size;
+}
+/*
+  slow_conv_dilated_shape_check - check user-input to dilated convolution
+  forward and backward functions.
+*/
+template <int64_t dim>
+void slow_conv_dilated_shape_check(
+    const Tensor& input,
+    const Tensor& weight,
+    const Tensor& bias,
+    const Tensor& grad_output,
+    IntArrayRef kernel_size,
+    IntArrayRef stride_size,
+    IntArrayRef pad_size,
+    IntArrayRef dilation_size) {
+  /*
+    When the following tensors are defined:
+
+    bias, grad_weight, grad_output
+
+    then these are assumed to be contiguous without checking
+    because of these tensors are made contiguous by calling
+    .contiguous() method or by resizing of zero-sized tensors in
+    forward/backward functions.
+
+    When grad_weight is defined then it is assumed without
+    checking to have the same shape as weight, see backward
+    functions.
+   */
+  // Check size arguments
+  TORCH_CHECK(
+      kernel_size.size() == dim,
+      "kernel sizes length should be ",
+      dim,
+      ", but got ",
+      kernel_size.size());
+  TORCH_CHECK(
+      stride_size.size() == dim,
+      "strides length should be ",
+      dim,
+      ", but got ",
+      stride_size.size());
+  TORCH_CHECK(
+      dilation_size.size() == dim,
+      "dilations length should be ",
+      dim,
+      ", but got ",
+      dilation_size.size());
+  TORCH_CHECK(
+      pad_size.size() == dim,
+      "pads length should be ",
+      dim,
+      ", but got ",
+      pad_size.size());
+
+  TORCH_CHECK(
+      all_positive(kernel_size),
+      "kernel size should be greater than zero, but got ",
+      kernel_size);
+  TORCH_CHECK(
+      all_positive(stride_size),
+      "stride should be greater than zero, but got ",
+      stride_size);
+  TORCH_CHECK(
+      all_positive(dilation_size),
+      "dilation should be greater than zero, but got ",
+      dilation_size);
+
+  // check input
+  TORCH_CHECK(input.defined(), "input must be defined");
+  bool is_batch = input.dim() == dim + 2;
+  int64_t n = (is_batch ? 2 : 1);
+  int64_t ndim = n + dim;
+  if (!is_batch) {
+    // input dim has to be dim + 1 if not batched
+    TORCH_CHECK(
+        input.dim() == dim + 1,
+        "input must be 4D or 5D tensor but got ",
+        input.dim(),
+        "D tensor");
+  }
+
+  // check output sizes
+  auto output_size = get_output_size<dim>(
+      input, kernel_size, stride_size, pad_size, dilation_size);
+
+  TORCH_CHECK(
+      all_nonnegative(output_size),
+      "calculated output size ",
+      output_size,
+      " is too small (all sizes must be non-negative)");
+
+  // check weight
+  TORCH_CHECK(weight.defined(), "weight must be defined");
+  TORCH_CHECK(
+      weight.dim() == dim + 2,
+      "weight must be ",
+      dim + 2,
+      "D tensor but got ",
+      weight.dim(),
+      "D tensor dim=",
+      dim);
+  TORCH_CHECK(
+      weight.sizes().slice(2) == kernel_size,
+      "weight[2:] shape ",
+      weight.sizes().slice(2),
+      " must be equal to kernel_size ",
+      kernel_size);
+
+  TORCH_CHECK_DIM_SIZE(input, input.dim(), (is_batch ? 1 : 0), weight.size(1));
+
+  // check bias when present
+  if (bias.defined()) {
+    TORCH_CHECK(
+        bias.dim() == 1,
+        "bias must be 1D tensor but got ",
+        bias.dim(),
+        "D tensor");
+    TORCH_CHECK_DIM_SIZE(bias, 1, 0, weight.size(0));
+  }
+
+  // check grad_output when present
+  if (grad_output.defined()) {
+    TORCH_CHECK(
+        grad_output.dim() == ndim,
+        "grad_output must be ",
+        ndim,
+        "D tensor but got ",
+        grad_output.dim(),
+        "D tensor");
+    if (is_batch) {
+      TORCH_CHECK(
+          grad_output.size(0) == input.size(0),
+          "grad_output.size(0)=",
+          grad_output.size(0),
+          " must be input.size(0)=",
+          input.size(0));
+    }
+    TORCH_CHECK(
+        grad_output.size(n - 1) == weight.size(0),
+        "grad_output.size(",
+        n - 1,
+        ")=",
+        grad_output.size(n - 1),
+        " must be weight.size(0)=",
+        weight.size(0));
+    TORCH_CHECK(
+        grad_output.sizes().slice(n) == output_size,
+        "grad_output[",
+        n,
+        ":] shape",
+        grad_output.sizes().slice(n),
+        " must be equal to output size ",
+        output_size);
+  }
+}
+
+} // namespace internal
+} // namespace native
+} // namespace at

wemm/lib/python3.10/site-packages/torch/include/ATen/native/Distance.h

@@ -0,0 +1,20 @@
+#pragma once
+
+#include <ATen/native/DispatchStub.h>
+
+namespace at {
+class Tensor;
+
+namespace native {
+
+using pdist_forward_fn = void(*)(Tensor&, const Tensor&, const double p);
+using pdist_backward_fn = void(*)(Tensor&, const Tensor&, const Tensor&, const double p, const Tensor&);
+using cdist_fn = void(*)(Tensor&, const Tensor&, const Tensor&, const double p);
+using cdist_backward_fn = void(*)(Tensor&, const Tensor&, const Tensor&, const Tensor&, const double p, const Tensor&);
+
+DECLARE_DISPATCH(pdist_forward_fn, pdist_forward_stub);
+DECLARE_DISPATCH(pdist_backward_fn, pdist_backward_stub);
+DECLARE_DISPATCH(cdist_fn, cdist_stub);
+DECLARE_DISPATCH(cdist_backward_fn, cdist_backward_stub);
+
+}} // namespace at::native

wemm/lib/python3.10/site-packages/torch/include/ATen/native/DistributionTemplates.h

@@ -0,0 +1,366 @@
+#pragma once
+
+#include <ATen/core/Tensor.h>
+#include <ATen/Dispatch.h>
+#include <ATen/Generator.h>
+#include <ATen/ExpandUtils.h>
+#include <ATen/Tensor.h>
+#include <ATen/MemoryOverlap.h>
+#include <ATen/NamedTensorUtils.h>
+#include <ATen/native/Resize.h>
+#include <ATen/native/TensorIterator.h>
+#include <c10/util/Optional.h>
+#include <limits>
+#include <cmath>
+
+#ifndef AT_PER_OPERATOR_HEADERS
+#include <ATen/Functions.h>
+#else
+#include <ATen/ops/empty_like.h>
+#include <ATen/ops/empty.h>
+#include <ATen/ops/full.h>
+#include <ATen/ops/view_as_real.h>
+#endif
+
+namespace at {
+namespace native {
+namespace templates {
+
+// ==================================================== Random ========================================================
+
+// The purpose of `update_from` and `update_to` is to find the closest valid int64_t number that can be used as actual `from`.
+// The current implementation of `random_` uses uint64_t arithmetics and casts the result to the target dtype(scalar_t).
+// This casting can result in generating numbers that happen to be greater or equal to `to` value. For instance:
+//
+//    auto actual = torch::empty({3, 3}, torch::half);
+//    actual.random_(0, 65504);
+//
+// If random's uint64_t arithmetics produces 65503 as a random value after casting to torch::half it becomes 65504
+// and violates the requirement that random value must be less than `to`. To resolve this issue `update_from` and `update_to`
+// moves `from` to the right and `to` to the left to the next closest value that won't go outside [from, to) after casting to
+// the target dtype. For `to` = 65504 it moves left for (1 << (log2(to) - 11 + 1)) = 32 and becomes 65472, which is previous
+// available number for torch::half dtype.
+template<typename scalar_t>
+int64_t update_from(int64_t from) {
+  static_assert(
+    std::is_floating_point<scalar_t>::value ||
+    std::is_same<scalar_t, at::Half>::value ||
+    std::is_same<scalar_t, at::BFloat16>::value, "scalar_t must be floating-point type");
+  const auto from_plus_1 = static_cast<int64_t>(static_cast<scalar_t>(from + 1));
+  if (from_plus_1 < from) {
+    int64_t from_ = std::abs(from + 1);
+    int n = 0;
+    while (from_ >>= 1) ++n;
+    // NOLINTNEXTLINE(clang-analyzer-core.UndefinedBinaryOperatorResult)
+    from = from_plus_1 + (1LL << (n - std::numeric_limits<scalar_t>::digits + 1));
+  }
+  return from;
+}
+
+template<typename scalar_t>
+int64_t update_to(int64_t to) {
+  static_assert(
+    std::is_floating_point<scalar_t>::value ||
+    std::is_same<scalar_t, at::Half>::value ||
+    std::is_same<scalar_t, at::BFloat16>::value, "scalar_t must be floating-point type");
+  const auto to_minus_1 = static_cast<int64_t>(static_cast<scalar_t>(to - 1));
+  if (to_minus_1 >= to) {
+    int64_t to_ = std::abs(to - 1);
+    int n = 0;
+    while (to_ >>= 1) ++n;
+    // NOLINTNEXTLINE(clang-analyzer-core.UndefinedBinaryOperatorResult)
+    to = to_minus_1 - (1LL << (n - std::numeric_limits<scalar_t>::digits + 1));
+  }
+  return to;
+}
+
+template<template<typename> class random_kernel, typename RNG>
+at::Tensor& random_impl(at::Tensor& self, c10::optional<Generator> generator) {
+  auto iter = at::TensorIterator::borrowing_nullary_op(self);
+  random_kernel<RNG>()(iter, generator);
+  return self;
+}
+
+#define CHECK_OUT_OF_BOUNDS(var, name, min, max, dtype) \
+  TORCH_CHECK(var >= min && var <= max, name , " is out of bounds for ", dtype); \
+
+#define WARN_OUT_OF_BOUNDS(var, name, digits, dtype) \
+  if (var < -(1LL << digits) || var > (1LL << digits)) { \
+    TORCH_WARN(name , " is out of bounds [-(2^", digits, "), 2^", digits, "]. ", \
+      "Due to precision limitations ", dtype, " can support discrete uniform distribution only within this range. ", \
+      "This warning will become an error in version 1.7 release, please fix the code in advance"); \
+  }
+
+static void check_from_to_in_range(int64_t from, int64_t to_inc, caffe2::TypeMeta dtype) {
+  const auto scalar_type = typeMetaToScalarType(dtype);
+  if (isFloatingType(scalar_type)) {
+    AT_DISPATCH_FLOATING_TYPES_AND2(at::ScalarType::Half, at::ScalarType::BFloat16, scalar_type, "check_random_fp_bounds", [&] {
+      const auto min = static_cast<double>(std::numeric_limits<scalar_t>::lowest());
+      const auto max = static_cast<double>(std::numeric_limits<scalar_t>::max());
+      CHECK_OUT_OF_BOUNDS(from, "from", min, max, dtype);
+      CHECK_OUT_OF_BOUNDS(to_inc, "to - 1", min, max, dtype);
+
+      constexpr auto digits = std::numeric_limits<scalar_t>::digits;
+      WARN_OUT_OF_BOUNDS(from, "from", digits, dtype);
+      WARN_OUT_OF_BOUNDS(to_inc, "to - 1", digits, dtype);
+    });
+  } else if (isIntegralType(scalar_type, /*includeBool=*/true)) {
+    AT_DISPATCH_INTEGRAL_TYPES_AND(at::ScalarType::Bool, scalar_type, "check_random_integral_bounds", [&]() {
+      const auto min = static_cast<int64_t>(std::numeric_limits<scalar_t>::lowest());
+      const auto max = static_cast<int64_t>(std::numeric_limits<scalar_t>::max());
+      CHECK_OUT_OF_BOUNDS(from, "from", min, max, dtype);
+      CHECK_OUT_OF_BOUNDS(to_inc, "to - 1", min, max, dtype);
+    });
+  } else {
+    TORCH_CHECK(false, "check_random_bounds handles only integral, floating-point and boolean types");
+  }
+}
+
+template<template<typename> class random_from_to_kernel, typename RNG>
+at::Tensor& random_from_to_impl(at::Tensor& self, int64_t from, c10::optional<int64_t> to_opt, c10::optional<Generator> generator) {
+  uint64_t range = 0;
+  auto iter = at::TensorIterator::borrowing_nullary_op(self);
+  if (to_opt.has_value()) {
+    // [from, to)
+    int64_t to = *to_opt;
+    TORCH_CHECK(from < to, "random_ expects 'from' to be less than 'to', but got from=", from, " >= to=", to);
+    if (isFloatingType(iter.dtype())) {
+      AT_DISPATCH_FLOATING_TYPES_AND2(at::ScalarType::Half, at::ScalarType::BFloat16, self.scalar_type(), "random_update_from_to", [&] {
+        from = update_from<scalar_t>(from);
+        to = update_to<scalar_t>(to);
+        TORCH_CHECK(from < to, "random_ expects 'from' casted to dtype to be less than 'to' casted to dtype, but got from=", from, " >= to=", to);
+      });
+    }
+    check_from_to_in_range(from, to - 1, self.dtype());
+    range = static_cast<uint64_t>(to) - static_cast<uint64_t>(from);
+    random_from_to_kernel<RNG>()(iter, range, from, generator);
+  } else if (from != std::numeric_limits<int64_t>::lowest()) {
+    // [from, std::numeric_limits<int64_t>::max()]
+    int64_t to_inc = 0;
+    if (isFloatingType(iter.dtype())) {
+      AT_DISPATCH_FLOATING_TYPES_AND2(at::ScalarType::Half, at::ScalarType::BFloat16, self.scalar_type(), "random_from_to_range_calc", [&] {
+        constexpr int64_t scalar_t_max = static_cast<int64_t>(1) << std::numeric_limits<scalar_t>::digits;
+        to_inc = scalar_t_max > std::numeric_limits<int64_t>::max() ? std::numeric_limits<int64_t>::max() : static_cast<int64_t>(scalar_t_max);
+        from = update_from<scalar_t>(from);
+        TORCH_CHECK(from < to_inc, "random_ expects 'from' casted to dtype to be less than or equal to 'to_inc' casted to dtype, but got from=", from, " > to_inc=", to_inc);
+      });
+    } else if (isIntegralType(iter.dtype(), /*includeBool=*/true)) {
+      AT_DISPATCH_INTEGRAL_TYPES_AND(at::ScalarType::Bool, self.scalar_type(), "random_from_to_range_calc", [&] {
+        if (std::is_same<scalar_t, bool>::value) {
+          to_inc = static_cast<int64_t>(true);
+        } else {
+          to_inc = static_cast<int64_t>(std::numeric_limits<scalar_t>::max());
+        }
+      });
+    } else {
+      TORCH_CHECK(false, "random_from_to_impl handles only integral, floating-point and boolean types");
+    }
+    check_from_to_in_range(from, to_inc, self.dtype());
+    range = static_cast<uint64_t>(to_inc) - static_cast<uint64_t>(from) + 1;
+    random_from_to_kernel<RNG>()(iter, range, from, generator);
+  } else {
+    // [std::numeric_limits<int64_t>::lowest(), std::numeric_limits<int64_t>::max()]
+    // range = 2^64
+    random_from_to_kernel<RNG>()(iter, generator);
+  }
+  return self;
+}
+
+// ==================================================== Normal ========================================================
+
+#define CHECK_NORMAL_TENSOR_STD(std) \
+  do { \
+    TORCH_CHECK( \
+      !std.is_complex(), \
+      "normal expects standard deviation to be non-complex"); \
+    TORCH_CHECK( \
+      std.numel() == 0 || std.is_meta() || std.min().ge(0).item<bool>(), \
+      "normal expects all elements of std >= 0.0"); \
+  } while (0)
+
+#define CHECK_NORMAL_STD(std) \
+  TORCH_CHECK(std >= 0.0, "normal expects std >= 0.0, but found std ", std);
+
+template<template<typename> class normal_kernel, typename RNG>
+Tensor& normal_impl_(Tensor& self, double mean, double std, c10::optional<Generator> gen) {
+  CHECK_NORMAL_STD(std);
+  if (self.is_complex()) {
+    auto float_tensor = at::view_as_real(self);
+    // variance for normal distribution of the real and imaginary values
+    // is half of the input variance
+    normal_kernel<RNG>()(float_tensor, mean, std/(std::sqrt(2)), gen);
+  } else {
+    normal_kernel<RNG>()(self, mean, std, gen);
+  }
+  return self;
+}
+
+template<template<typename> class normal_kernel, typename RNG>
+Tensor& normal_out_impl(Tensor& output, const Tensor& mean, double std, c10::optional<Generator> gen) {
+  CHECK_NORMAL_STD(std);
+  auto std_tensor = at::empty_like(output, MemoryFormat::Contiguous);
+  auto shape = at::infer_size(mean.sizes(), std_tensor.sizes());
+  at::native::resize_output(output, shape);
+  normal_impl_<normal_kernel, RNG>(output, 0, std, gen);
+  output.add_(mean);
+  return output;
+}
+
+template<template<typename> class normal_kernel, typename RNG>
+Tensor& normal_out_impl(Tensor& output, double mean, const Tensor& std, c10::optional<Generator> gen) {
+  CHECK_NORMAL_TENSOR_STD(std);
+  auto mean_tensor = at::full({}, mean, output.options());
+  auto shape = at::infer_size(mean_tensor.sizes(), std.sizes());
+  at::native::resize_output(output, shape);
+  normal_impl_<normal_kernel, RNG>(output, 0, 1, gen);
+  // CUDA NB: addcmul_out copies the tensor to be added into the output.
+  // The previous function here was addcmul_out(output, mean_tensor, output, std, 1);
+  // The third argument is not a constant reference and hence the samples in output are overwritten.
+  // Consequently, the computation performed is mean_tensor + mean_tensor * std instead of mean_tensor + output * std
+  output.mul_(std).add_(mean_tensor);
+  return output;
+}
+
+template<template<typename> class normal_kernel, typename RNG>
+Tensor& normal_out_impl(Tensor& output, const Tensor& mean, const Tensor& std, c10::optional<Generator> gen) {
+  CHECK_NORMAL_TENSOR_STD(std);
+  auto shape = at::infer_size(mean.sizes(), std.sizes());
+  at::native::resize_output(output, shape);
+  normal_impl_<normal_kernel, RNG>(output, 0, 1, gen);
+  // CUDA NB: addcmul_out copies the tensor to be added into the output.
+  // The previous function here was addcmul_out(output, mean, output, std, 1);
+  // The third argument is not a constant reference and hence the samples in output are overwritten.
+  // Consequently, the computation performed is mean + mean * std instead of mean + output * std
+  output.mul_(std).add_(mean);
+  return output;
+}
+
+template<template<typename> class normal_kernel, typename RNG>
+Tensor normal_impl(const Tensor& mean, double std, c10::optional<Generator> gen) {
+  CHECK_NORMAL_STD(std);
+  Tensor ret = at::empty_like(mean, MemoryFormat::Contiguous);
+  normal_out_impl<normal_kernel, RNG>(ret, mean, std, gen);
+  return ret;
+}
+
+template<template<typename> class normal_kernel, typename RNG>
+Tensor normal_impl(double mean, const Tensor& std, c10::optional<Generator> gen) {
+  CHECK_NORMAL_TENSOR_STD(std);
+  Tensor ret = at::empty_like(std, MemoryFormat::Contiguous);
+  normal_out_impl<normal_kernel, RNG>(ret, mean, std, gen);
+  return ret;
+}
+
+template<template<typename> class normal_kernel, typename RNG>
+Tensor normal_impl(const Tensor& mean, const Tensor& std, c10::optional<Generator> gen) {
+  CHECK_NORMAL_TENSOR_STD(std);
+  auto shape = at::infer_size(mean.sizes(), std.sizes());
+  Tensor ret = at::empty(shape, mean.options(), MemoryFormat::Contiguous);
+  normal_out_impl<normal_kernel, RNG>(ret, mean, std, gen);
+  return ret;
+}
+
+// ==================================================== Uniform =======================================================
+
+template<template<typename> class uniform_kernel, typename RNG>
+at::Tensor& uniform_impl_(at::Tensor& self, double from, double to, c10::optional<Generator> generator) {
+  if (self.is_complex()) {
+    auto float_tensor = at::view_as_real(self);
+    uniform_impl_<uniform_kernel, RNG>(float_tensor, from, to, generator);
+  } else {
+    AT_DISPATCH_FLOATING_TYPES_AND2(at::ScalarType::Half, at::ScalarType::BFloat16, self.scalar_type(), "check_uniform_bounds", [&] {
+      const auto dtype = self.dtype();
+      const auto min = static_cast<double>(std::numeric_limits<scalar_t>::lowest());
+      const auto max = static_cast<double>(std::numeric_limits<scalar_t>::max());
+      CHECK_OUT_OF_BOUNDS(from, "from", min, max, dtype);
+      CHECK_OUT_OF_BOUNDS(to, "to", min, max, dtype);
+      TORCH_CHECK(from <= to, "uniform_ expects to return a [from, to) range, but found from=", from, " > to=", to);
+      TORCH_CHECK((to - from) <= std::numeric_limits<scalar_t>::max(),
+            "uniform_ expects to-from <= std::numeric_limits<", toString(self.scalar_type()),
+            ">::max(), but found to=", to, " and from=", from,
+            " which result in to-from to exceed the limit");
+      from = std::min(std::max(from, min), max);
+      to = std::max(std::min(to, max), min);
+    });
+    auto iter = at::TensorIterator::borrowing_nullary_op(self);
+    uniform_kernel<RNG>()(iter, from, to, generator);
+  }
+  return self;
+}
+
+// ================================================== LogNormal =======================================================
+
+template<template<typename> class log_normal_kernel, typename RNG>
+at::Tensor& log_normal_impl_(at::Tensor& self, double mean, double std, c10::optional<Generator> gen) {
+  TORCH_CHECK(std > 0.0, "log_normal_ expects std > 0.0, but found std=", std);
+  auto iter = TensorIterator::borrowing_nullary_op(self);
+  log_normal_kernel<RNG>()(iter, mean, std, gen);
+  return self;
+}
+
+// =================================================== Geometric ======================================================
+
+template<template<typename> class geometric_kernel, typename RNG>
+Tensor& geometric_impl_(Tensor& self, double p, c10::optional<Generator> gen) {
+  TORCH_CHECK(0 < p && p < 1, "geometric_ expects p to be in (0, 1), but got p=", p);
+  auto iter = TensorIterator::borrowing_nullary_op(self);
+  geometric_kernel<RNG>()(iter, p, gen);
+  return self;
+}
+
+// ================================================== Exponential =====================================================
+
+template<template<typename> class exponential_kernel, typename RNG>
+Tensor& exponential_impl_(Tensor& self, double lambda, c10::optional<Generator> gen) {
+  TORCH_CHECK(lambda > 0.0, "exponential_ expects lambda > 0.0, but found lambda=", lambda);
+  auto iter = TensorIterator::borrowing_nullary_op(self);
+  exponential_kernel<RNG>()(iter, lambda, gen);
+  return self;
+}
+
+// ==================================================== Cauchy ========================================================
+
+template<template<typename> class cauchy_kernel, typename RNG>
+Tensor& cauchy_impl_(Tensor& self, double median, double sigma, c10::optional<Generator> gen) {
+  // TODO: instead of variable name 'sigma', use 'gamma' or 'scale'
+  // the variance, squared sigma, is undefined for cauchy distribution
+  TORCH_CHECK(sigma > 0.0, "cauchy_ expects sigma > 0.0, but found sigma=", sigma);
+  TORCH_CHECK(at::isFloatingType(self.scalar_type()), "Cauchy distribution is a continuous probability distribution. dtype must be a floating point but you specified ", self.dtype());
+  auto iter = TensorIterator::borrowing_nullary_op(self);
+  cauchy_kernel<RNG>()(iter, median, sigma, gen);
+  return self;
+}
+
+// ==================================================== Bernoulli =====================================================
+
+template<template<typename> class bernoulli_tensor_kernel, typename RNG>
+Tensor& bernoulli_impl_(Tensor& self, const Tensor& p_, c10::optional<Generator> gen) {
+  NoNamesGuard guard;
+  at::assert_no_internal_overlap(self);
+  bernoulli_tensor_kernel<RNG>()(self, p_, gen);
+  return self;
+}
+
+template<template<typename> class bernoulli_scalar_kernel, typename RNG>
+Tensor& bernoulli_impl_(Tensor& self, double p, c10::optional<Generator> gen) {
+  TORCH_CHECK(0 <= p && p <= 1, "bernoulli_ expects p to be in [0, 1], but got p=", p);
+  at::assert_no_internal_overlap(self);
+  bernoulli_scalar_kernel<RNG>()(self, p, gen);
+  return self;
+}
+
+template<template<typename> class bernoulli_tensor_kernel, typename RNG>
+Tensor& bernoulli_out_impl(Tensor& result, const Tensor& self, c10::optional<Generator> gen) {
+  // result.resize_as_(self) requires self to have same dtype as result, so we
+  // use resize_ instead.
+  // TODO: Fix resize_as_. See pytorch/pytorch#11665.
+  result.resize_(self.sizes());
+  bernoulli_impl_<bernoulli_tensor_kernel, RNG>(result, self, gen);
+  namedinference::propagate_names(result, self);
+  return result;
+}
+
+#undef CHECK_OUT_OF_BOUNDS
+#undef WARN_OUT_OF_BOUNDS
+
+}}}

wemm/lib/python3.10/site-packages/torch/include/ATen/native/Distributions.h

@@ -0,0 +1,518 @@
+#pragma once
+
+#include <ATen/native/Math.h>
+#include <c10/macros/Macros.h>
+#include <c10/util/MathConstants.h>
+
+// ROCM hcc doesn't work well with using std:: in kernel functions
+#if defined(__CUDA_ARCH__)
+#include <c10/cuda/CUDAMathCompat.h>
+#define compat_exp c10::cuda::compat::exp
+#define compat_ceil c10::cuda::compat::ceil
+#define compat_floor c10::cuda::compat::floor
+#define compat_log c10::cuda::compat::log
+#define compat_pow c10::cuda::compat::pow
+#define compat_sqrt c10::cuda::compat::sqrt
+#define compat_tan c10::cuda::compat::tan
+#define compat_abs c10::cuda::compat::abs
+#define compat_log1p c10::cuda::compat::log1p
+#elif defined(__HIPCC__)
+#include <c10/hip/HIPMathCompat.h>
+#define compat_exp c10::hip::compat::exp
+#define compat_ceil c10::hip::compat::ceil
+#define compat_floor c10::hip::compat::floor
+#define compat_log c10::hip::compat::log
+#define compat_pow c10::hip::compat::pow
+#define compat_sqrt c10::hip::compat::sqrt
+#define compat_tan c10::hip::compat::tan
+#define compat_abs c10::hip::compat::abs
+#define compat_log1p c10::hip::compat::log1p
+#else
+#define compat_exp std::exp
+#define compat_ceil std::ceil
+#define compat_floor std::floor
+#define compat_log std::log
+#define compat_pow std::pow
+#define compat_sqrt std::sqrt
+#define compat_tan std::tan
+#define compat_abs std::abs
+#define compat_log1p std::log1p
+#endif
+
+namespace {
+
+#if !defined(__CUDA_ARCH__) && !defined(__HIPCC__)
+// we cannot use std::isnan directly due to some incompatibility of
+// gcc constexpr'ing and nvcc
+using std::isnan;
+#endif
+
+// Here sampler_t should be function type scalar_t(void). For gpu
+// "sampler" is a device function, but since ROCM doesn't have
+// equivalent to nvstd::function, we use a template type parameter to
+// capture it.
+template<typename scalar_t, typename sampler_t>
+struct BaseSampler {
+  sampler_t sampler;
+  C10_DEVICE BaseSampler(const sampler_t& sampler): sampler(sampler) {}
+  C10_DEVICE scalar_t sample() {
+    return sampler();
+  }
+};
+
+// The function `sample_gamma` is
+// is adapted from Numpy's distributions.c implementation.
+// It is MIT licensed, so here is the copyright:
+
+/* Copyright 2005 Robert Kern (robert.kern@gmail.com)
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a
+ * copy of this software and associated documentation files (the
+ * "Software"), to deal in the Software without restriction, including
+ * without limitation the rights to use, copy, modify, merge, publish,
+ * distribute, sublicense, and/or sell copies of the Software, and to
+ * permit persons to whom the Software is furnished to do so, subject to
+ * the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included
+ * in all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
+ * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+ * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
+ * IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
+ * CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
+ * TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
+ * SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
+*/
+
+template<typename scalar_t, typename accscalar_t, typename uniform_sampler_t, typename normal_sampler_t>
+C10_DEVICE scalar_t sample_gamma(scalar_t alpha, BaseSampler<accscalar_t, uniform_sampler_t>& standard_uniform, BaseSampler<accscalar_t, normal_sampler_t>& standard_normal) {
+  accscalar_t scale = 1.0f;
+
+  // Boost alpha for higher acceptance probability.
+  if (alpha < 1.0f) {
+    if (alpha == 0.f) return 0.f;
+    scale *= compat_pow(1 - standard_uniform.sample(), 1.0f / alpha);
+    alpha += 1.0f;
+  }
+
+  // This implements the acceptance-rejection method of Marsaglia and Tsang (2000)
+  // doi:10.1145/358407.358414
+  const accscalar_t d = alpha - 1.0f / 3.0f;
+  const accscalar_t c = 1.0f / compat_sqrt(9.0f * d);
+  for (;;) {
+    accscalar_t x, y;
+    do {
+      x = standard_normal.sample();
+      y = 1.0f + c * x;
+    } while (y <= 0);
+    const accscalar_t v = y * y * y;
+    const accscalar_t u = 1 - standard_uniform.sample();
+    const accscalar_t xx = x * x;
+    if (u < 1.0f - 0.0331f * xx * xx)
+      return static_cast<scalar_t>(scale * d * v);
+    if (compat_log(u) < 0.5f * xx + d * (1.0f - v + compat_log(v)))
+      return static_cast<scalar_t>(scale * d * v);
+  }
+}
+
+/* the functions stirling_approx_tail, binomial_inversion, and btrs are adapted
+ * from TensorFlow's random_binomial_op.cc implementation. That code is under
+ * copyright: 2019 The TensorFlow Authors.
+ *
+ * It was released under the Apache License, Version 2.0 (the "License"), available at:
+ *    http://www.apache.org/licenses/LICENSE-2.0
+ */
+
+template<typename scalar_t>
+C10_DEVICE scalar_t stirling_approx_tail(scalar_t k) {
+  const static scalar_t kTailValues[] = {
+    0.0810614667953272,
+    0.0413406959554092,
+    0.0276779256849983,
+    0.02079067210376509,
+    0.0166446911898211,
+    0.0138761288230707,
+    0.0118967099458917,
+    0.0104112652619720,
+    0.00925546218271273,
+    0.00833056343336287
+  };
+  if (k <= 9) {
+    return kTailValues[static_cast<size_t>(k)];
+  }
+  scalar_t kp1sq = (k + 1) * (k + 1);
+  return (1.0 / 12 - (1.0 / 360 - 1.0 / 1260 / kp1sq) / kp1sq) / (k + 1);
+}
+
+
+template<typename scalar_t, typename accscalar_t, typename uniform_sampler_t>
+C10_DEVICE scalar_t binomial_inversion(scalar_t count, scalar_t prob, BaseSampler<accscalar_t, uniform_sampler_t>& standard_uniform) {
+  accscalar_t U;
+  accscalar_t geom_sum = 0;
+  scalar_t num_geom = 0;
+
+  accscalar_t logprob = compat_log1p(-prob);
+
+  while (1) {
+    U = standard_uniform.sample();
+    accscalar_t geom = compat_ceil(compat_log(U) / logprob);
+    geom_sum += geom;
+    if (geom_sum > count) {
+      break;
+    }
+    num_geom = num_geom + 1;
+  }
+  return num_geom;
+}
+
+template<typename scalar_t, typename accscalar_t, typename uniform_sampler_t>
+C10_DEVICE scalar_t btrs(scalar_t count, scalar_t prob, BaseSampler<accscalar_t, uniform_sampler_t>& standard_uniform) {
+  scalar_t k;
+  accscalar_t U, V, us;
+
+  // This is spq in the paper.
+  const accscalar_t stddev = compat_sqrt(count * prob * (1 - prob));
+
+  // Other coefficients for Transformed Rejection sampling.
+  const accscalar_t b = 1.15 + 2.53 * stddev;
+  const accscalar_t a = -0.0873 + 0.0248 * b + 0.01 * prob;
+  const accscalar_t c = count * prob + 0.5;
+  const accscalar_t v_r = 0.92 - 4.2 / b;
+  const accscalar_t r = prob / (1 - prob);
+
+  const accscalar_t alpha = (2.83 + 5.1 / b) * stddev;
+  const accscalar_t m = compat_floor((count + 1) * prob);
+
+  while (1) {
+    U = standard_uniform.sample() - 0.5;
+    V = standard_uniform.sample();
+
+    us = 0.5 - compat_abs(U);
+    k = static_cast<scalar_t>(compat_floor((2 * a / us + b) * U + c));
+
+    // Reject non-sensical answers.
+    if (k < 0 || k > count) {
+      continue;
+    }
+    // Region for which the box is tight, and we can return our calculated value.
+    // This should happen 0.86 * v_r times. In the limit as n * p is large,
+    // the acceptance rate converges to ~79% (and in the lower regime it is ~24%).
+    if (us >= 0.07 && V <= v_r) {
+      return k;
+    }
+
+    // This deviates from Hormann's BTRS algorithm, as there is a log missing.
+    // For all (u, v) pairs outside of the bounding box, this calculates the
+    // transformed-reject ratio.
+    V = compat_log(V * alpha / (a / (us * us) + b));
+    accscalar_t upperbound =
+        ((m + 0.5) * compat_log((m + 1) / (r * (count - m + 1))) +
+         (count + 1) * compat_log((count - m + 1) / (count - k + 1)) +
+         (k + 0.5) * compat_log(r * (count - k + 1) / (k + 1)) +
+         stirling_approx_tail<accscalar_t>(m) + stirling_approx_tail<accscalar_t>(count - m) -
+         stirling_approx_tail<accscalar_t>(k) - stirling_approx_tail<accscalar_t>(count - k));
+
+    if (V <= upperbound) {
+      return k;
+    }
+  }
+}
+
+template<typename scalar_t, typename accscalar_t, typename uniform_sampler_t>
+C10_DEVICE scalar_t sample_binomial(scalar_t count, scalar_t prob, BaseSampler<accscalar_t, uniform_sampler_t>& standard_uniform) {
+  if (count <= 0.0 || prob <= 0.0) {
+    return 0;
+  } else if (prob >= 1.0) {
+    return count;
+  } else if (prob <= 0.5) {
+    if (count * prob >= 10.0) {
+      // btrs
+      return btrs<scalar_t, accscalar_t, uniform_sampler_t>(count, prob, standard_uniform);
+    } else {
+      // binomial inversion
+      return binomial_inversion<scalar_t, accscalar_t, uniform_sampler_t>(count, prob, standard_uniform);
+    }
+  } else if (prob > 0.5) {
+    scalar_t qprob = 1.0 - prob;
+    if (count * qprob >= 10.0) {
+      // btrs
+      return count - btrs<scalar_t, accscalar_t, uniform_sampler_t>(count, qprob, standard_uniform);
+    } else {
+      // count - binomial inversion
+      return count - binomial_inversion<scalar_t, accscalar_t, uniform_sampler_t>(count, qprob, standard_uniform);
+    }
+  } else {
+    // prob is nan?
+    return static_cast<scalar_t>(NAN);
+  }
+}
+
+/*
+ * This function is derived from the implementation of the digamma function in the Cephes Math Library.
+ * See note [3-Clause BSD License for the Cephes Math Library] in ATen/native/Math.h.
+ */
+template<typename scalar_t, typename accscalar_t>
+C10_DEVICE static inline scalar_t digamma_one(scalar_t x) {
+  constexpr accscalar_t PSI_10 = 2.25175258906672110764;
+  if (x == 0) {
+    return INFINITY;
+  }
+  accscalar_t additional_summand = 0;
+  int x_is_integer = x == compat_floor(x);
+  if (x < 0) {
+    if (x_is_integer) {
+      return INFINITY;
+    }
+    // it is more standard to write this as recursion, but
+    // nvcc does not like that
+    additional_summand = -c10::pi<scalar_t> /
+        compat_tan(c10::pi<scalar_t> * x);
+    x = 1 - x;
+  }
+
+  // Push x to be >= 10
+  accscalar_t result = 0;
+  while (x < 10) {
+    result -= 1 / x;
+    x += 1;
+  }
+  if (x == 10) {
+    return result + PSI_10 + additional_summand;
+  }
+
+  // Compute asymptotic digamma
+  static const accscalar_t A[] = {
+     8.33333333333333333333E-2,
+    -2.10927960927960927961E-2,
+     7.57575757575757575758E-3,
+    -4.16666666666666666667E-3,
+     3.96825396825396825397E-3,
+    -8.33333333333333333333E-3,
+     8.33333333333333333333E-2,
+  };
+
+  accscalar_t y = 0;
+  if (x < 1.0e17f) {
+    accscalar_t z = 1.0 / (x * x);
+    y = z * polevl<accscalar_t>(z, A, 6);
+  }
+  return static_cast<scalar_t>(
+      result + compat_log(x) - (0.5f / x) - y + additional_summand);
+}
+
+// Computes the reparameterized gradient -(d/dalpha cdf(x;alpha)) / pdf(x;alpha)
+// for random number x drawn from a standard Gamma distribution Gamma(alpha).
+template <typename scalar_t, typename accscalar_t>
+C10_HOST_DEVICE scalar_t standard_gamma_grad_one(scalar_t alpha_, scalar_t x_) {
+  // Use a Taylor series expansion for small x.
+  accscalar_t x = static_cast<accscalar_t>(x_);
+  accscalar_t alpha = static_cast<accscalar_t>(alpha_);
+  if (x < 0.8f) {
+    accscalar_t numer = 1;
+    accscalar_t denom = alpha;
+    auto series1 = numer / denom;
+    auto series2 = numer / (denom * denom);
+    for (int i = 1; i <= 5; ++i) {
+      numer *= -x / static_cast<accscalar_t>(i);
+      denom += 1;
+      series1 += numer / denom;
+      series2 += numer / (denom * denom);
+    }
+    const auto pow_x_alpha = compat_pow(x, alpha);
+    const auto gamma_pdf = compat_pow(x, alpha - 1) * compat_exp(-x);
+    const auto gamma_cdf = pow_x_alpha * series1;
+    const auto gamma_cdf_alpha =
+        (compat_log(x) - digamma_one<accscalar_t, accscalar_t>(alpha)) *
+            gamma_cdf -
+        pow_x_alpha * series2;
+    const auto result = -gamma_cdf_alpha / gamma_pdf;
+    return isnan(result) ? static_cast<scalar_t>( 0.f ) : static_cast<scalar_t>(result);
+  }
+
+  // Use a Rice saddle point expansion for large alpha.
+  if (alpha > 8.0f) {
+    if (0.9f * alpha <= x && x <= 1.1f * alpha) {
+      const auto numer_1 = 1 + 24 * alpha * (1 + 12 * alpha);
+      const auto numer_2 = 1440 * (alpha * alpha) + 6 * x * (53 - 120 * x)
+          - 65 * x * x / alpha + alpha * (107 + 3600 * x);
+      const auto denom = 1244160 * (alpha * alpha) * (alpha * alpha);
+      return static_cast<scalar_t>(numer_1 * numer_2 / denom);
+    }
+    const auto denom = compat_sqrt(8 * alpha);
+    const auto term2 = denom / (alpha - x);
+    const auto term3 = compat_pow(
+        x - alpha - alpha * compat_log(x / alpha),
+        static_cast<accscalar_t>(-1.5));
+    const auto term23 = (x < alpha) ? term2 - term3 : term2 + term3;
+    const auto term1 = compat_log(x / alpha) * term23 -
+        compat_sqrt(2 / alpha) * (alpha + x) / ((alpha - x) * (alpha - x));
+    const auto stirling = 1 + 1 / (12 * alpha) * (1 + 1 / (24 * alpha));
+    const auto numer = x * term1;
+    return static_cast<scalar_t>(-stirling * numer / denom);
+  }
+
+  // Use a bivariate rational approximation to the reparameterized gradient.
+  const auto u = compat_log(x / alpha);
+  const auto v = compat_log(alpha);
+  static const accscalar_t coef_uv[3][8] = {
+    {0.16009398, -0.094634809, 0.025146376, -0.0030648343,
+     1, 0.32668115, 0.10406089, 0.0014179084},
+    {0.53487893, 0.1298071, 0.065735949, -0.0015649758,
+     0.16639465, 0.020070113, -0.0035938915, -0.00058392623},
+    {0.040121004, -0.0065914022, -0.0026286047, -0.0013441777,
+     0.017050642, -0.0021309326, 0.00085092367, -1.5247877e-07},
+  };
+  accscalar_t coef_v[8];
+  for (int i = 0; i < 8; ++ i) {
+    coef_v[i] = coef_uv[0][i] + u * (coef_uv[1][i] + u * coef_uv[2][i]);
+  }
+  const auto p = coef_v[0] + v * (coef_v[1] + v * (coef_v[2] + v * coef_v[3]));
+  const auto q = coef_v[4] + v * (coef_v[5] + v * (coef_v[6] + v * coef_v[7]));
+  return static_cast<scalar_t>(compat_exp(p / q));
+}
+
+// Approximate reparameterized gradient of Beta(x,alpha,beta) wrt alpha.
+// Assumes x is close to zero and uses a Taylor expansion.
+template <typename scalar_t, typename accscalar_t>
+C10_DEVICE static inline scalar_t _beta_grad_alpha_small(scalar_t x, scalar_t alpha, scalar_t beta) {
+  const scalar_t factor = digamma_one<scalar_t, accscalar_t>(alpha)
+                        - digamma_one<scalar_t, accscalar_t>(alpha + beta) - compat_log(x);
+  scalar_t numer = 1;
+  scalar_t series = numer / alpha * (factor + 1 / alpha);
+  for (int i = 1; i <= 10; ++i) {
+    scalar_t casted_i = static_cast<scalar_t>(i);
+    numer *= (casted_i - beta) * x / casted_i;
+    const scalar_t denom = alpha + casted_i;
+    series += numer / denom * (factor + 1 / denom);
+  }
+  const scalar_t result = x * compat_pow(1 - x, -beta) * series;
+  return isnan(result) ? static_cast<scalar_t>( 0.f ) : result;
+}
+
+// Approximate reparameterized gradient of Beta(x,alpha,beta) wrt beta.
+// Assumes x is close to zero and uses a Taylor expansion.
+template <typename scalar_t, typename accscalar_t>
+C10_DEVICE static inline scalar_t _beta_grad_beta_small(scalar_t x, scalar_t alpha, scalar_t beta) {
+  const scalar_t factor = digamma_one<scalar_t, accscalar_t>(alpha + beta) - digamma_one<scalar_t, accscalar_t>(beta);
+  scalar_t numer = 1, betas = 1, dbetas = 0, series = factor / alpha;
+  for (int i = 1; i <= 8; ++i) {
+    scalar_t casted_i = static_cast<scalar_t>(i);
+    numer *= -x / casted_i;
+    dbetas = dbetas * (beta - casted_i) + betas;
+    betas = betas * (beta - casted_i);
+    series += numer / (alpha + casted_i) * (dbetas + factor * betas);
+  }
+  const scalar_t result = -compat_pow(1 - x, 1 - beta) * series;
+  return isnan(result) ? static_cast<scalar_t>( 0.f ) : result;
+}
+
+// Approximate reparameterized gradient of Beta(x,alpha,beta) wrt alpha.
+// Assumes alpha and beta are both large and uses a Rice saddle point expansion.
+// To ensure numerical stability, this computation is performed at higher precision.
+template<typename scalar_t, typename accscalar_t>
+C10_DEVICE static inline scalar_t _beta_grad_alpha_mid(accscalar_t x, accscalar_t alpha, accscalar_t beta) {
+  const accscalar_t total = alpha + beta;
+  const accscalar_t mean = alpha / total;
+  const accscalar_t std = compat_sqrt(alpha * beta / (total + 1)) / total;
+  if (mean - 0.1 * std <= x && x <= mean + 0.1 * std) {
+    // Avoid the singularity at x = mean.
+    const accscalar_t poly = 47 * x * (beta * beta) * (beta * beta) + alpha * (
+                           (43 + 20 * (16 + 27 * beta) * x) * (beta * beta) * beta + alpha * (
+                           3 * (59 + 180 * beta - 90 * x) * (beta * beta) + alpha * (
+                           (453 + 1620 * beta * (1 - x) - 455 * x) * beta + alpha * (
+                           8 * (1 - x) * (135 * beta - 11)))));
+    const accscalar_t prefactor_num = (1 + 12 * alpha) * (1 + 12 * beta) / (total * total);
+    const accscalar_t prefactor_den = 12960 * alpha * alpha * alpha * beta * beta * (1 + 12 * total);
+    return prefactor_num / (1 - x) * poly / prefactor_den;
+  }
+  const accscalar_t prefactor = -x / compat_sqrt(2 * alpha * beta / total);
+  const accscalar_t stirling = (1 + 1 / (12 * alpha) + 1 / (288 * alpha * alpha))
+                             * (1 + 1 / (12 * beta) + 1 / (288 * beta * beta))
+                             / (1 + 1 / (12 * total) + 1 / (288 * total * total));
+  const accscalar_t term1_num = 2 * (alpha * alpha) * (x - 1) + alpha * beta * (x - 1) - x * (beta * beta);
+  const accscalar_t axbx = alpha * (x - 1) + beta * x;
+  const accscalar_t term1_den = compat_sqrt(2 * alpha / beta) * compat_pow(total, static_cast<accscalar_t>(1.5f)) * axbx * axbx;
+  const accscalar_t term1 = term1_num / term1_den;
+  const accscalar_t term2 = 0.5f * compat_log(alpha / (total * x));
+  const accscalar_t term3_num = compat_sqrt(8 * alpha * beta / total);
+  const accscalar_t term3_den = beta * x + alpha * (x - 1);
+  const accscalar_t term3 = term3_num / term3_den;
+  const accscalar_t term4_base = beta * compat_log(beta / (total * (1 - x))) +
+                               alpha * compat_log(alpha / (total * x));
+  const accscalar_t term4 = compat_pow(term4_base, static_cast<accscalar_t>(-1.5f));
+  const accscalar_t term1234 = term1 + term2 * (term3 + (x < mean ? term4 : -term4));
+  return static_cast<scalar_t>(stirling * prefactor * term1234);
+}
+
+// Computes a scaled reparameterized gradient
+//   -(d/dalpha cdf(x;alpha,beta)) / pdf(x;alpha,beta) / (1-x)
+// for random number x drawn from a Beta distribution Beta(alpha,beta).
+// This function inputs total=alpha+beta to make it easy to implement
+// Dirichlet reparameterized gradients in terms of Betas.
+template<typename scalar_t, typename accscalar_t>
+C10_HOST_DEVICE static inline scalar_t dirichlet_grad_one(scalar_t x, scalar_t alpha, scalar_t total) {
+  accscalar_t x_ = static_cast<accscalar_t>(x);
+  accscalar_t alpha_ = static_cast<accscalar_t>(alpha);
+  accscalar_t total_ = static_cast<accscalar_t>(total);
+
+  const scalar_t beta = total - alpha;
+  const accscalar_t beta_ = total_ - alpha_;
+  const scalar_t boundary = total * x * (1 - x);
+
+  // Use an asymptotic approximation for x close to 0.
+  if (x <= 0.5f && boundary < 2.5f) {
+    return _beta_grad_alpha_small<scalar_t, accscalar_t>(x, alpha, beta);
+  }
+
+  // Use an asymptotic approximation for x close to 1.
+  if (x >= 0.5f && boundary < 0.75f) {
+    return -_beta_grad_beta_small<scalar_t, accscalar_t>(1 - x, beta, alpha);
+  }
+
+  // Use an asymptotic approximation when alpha and (total - alpha) are both large.
+  if (alpha > 6 && beta > 6) {
+    return _beta_grad_alpha_mid<scalar_t, accscalar_t>(x_, alpha_, beta_);
+  }
+
+  // Use a rational correction to an analytic approximation.
+  static const accscalar_t c[2][3][3][4] = {
+    {{{1.003668233, -0.01061107488, -0.0657888334, 0.01201642863},
+      {0.6336835991, -0.3557432599, 0.05486251648, -0.001465281033},
+      {-0.03276231906, 0.004474107445, 0.002429354597, -0.0001557569013}},
+     {{0.221950385, -0.3187676331, 0.01799915743, 0.01074823814},
+      {-0.2951249643, 0.06219954479, 0.01535556598, 0.001550077057},
+      {0.02155310298, 0.004170831599, 0.001292462449, 6.976601077e-05}},
+     {{-0.05980841433, 0.008441916499, 0.01085618172, 0.002319392565},
+      {0.02911413504, 0.01400243777, -0.002721828457, 0.000751041181},
+      {0.005900514878, -0.001936558688, -9.495446725e-06, 5.385558597e-05}}},
+    {{{1, -0.02924021934, -0.04438342661, 0.007285809825},
+      {0.6357567472, -0.3473456711, 0.05454656494, -0.002407477521},
+      {-0.03301322327, 0.004845219414, 0.00231480583, -0.0002307248149}},
+     {{0.5925320577, -0.1757678135, 0.01505928619, 0.000564515273},
+      {0.1014815858, -0.06589186703, 0.01272886114, -0.0007316646956},
+      {-0.007258481865, 0.001096195486, 0.0003934994223, -4.12701925e-05}},
+     {{0.06469649321, -0.0236701437, 0.002902096474, -5.896963079e-05},
+      {0.001925008108, -0.002869809258, 0.0008000589141, -6.063713228e-05},
+      {-0.0003477407336, 6.959756487e-05, 1.097287507e-05, -1.650964693e-06}}},
+  };
+  const accscalar_t u = compat_log(x_);
+  const accscalar_t a = compat_log(alpha_) - u;
+  const accscalar_t b = compat_log(total_) - a;
+  const accscalar_t pow_u[3] = {1, u, u * u};
+  const accscalar_t pow_a[3] = {1, a, a * a};
+  accscalar_t p = 0.0;
+  accscalar_t q = 0.0;
+  for (int i = 0; i < 3; ++i) {
+    for (int j = 0; j < 3; ++j) {
+      const accscalar_t ua = pow_u[i] * pow_a[j];
+      p += ua * (c[0][i][j][0] + b * (c[0][i][j][1] + b * (c[0][i][j][2] + b * c[0][i][j][3])));
+      q += ua * (c[1][i][j][0] + b * (c[1][i][j][1] + b * (c[1][i][j][2] + b * c[1][i][j][3])));
+    }
+  }
+  const accscalar_t approx = x_ * (digamma_one<scalar_t, accscalar_t>(total_) - digamma_one<scalar_t, accscalar_t>(alpha_)) / beta_;
+  return static_cast<scalar_t>(p / q * approx);
+}
+
+} // namespace

wemm/lib/python3.10/site-packages/torch/include/ATen/native/Fill.h

@@ -0,0 +1,21 @@
+// Functions that fill Tensors with constants. Implementations are in Fill.cpp.
+
+#pragma once
+
+#include <ATen/native/DispatchStub.h>
+
+namespace c10 {
+class Scalar;
+}
+
+namespace at {
+class Tensor;
+struct TensorIterator;
+
+namespace native {
+
+DECLARE_DISPATCH(void(*)(TensorIterator&, const c10::Scalar&), fill_stub);
+
+Tensor& fill_out(Tensor& self, const Scalar& value);
+
+}} // namespace at::native

wemm/lib/python3.10/site-packages/torch/include/ATen/native/FractionalMaxPooling.h

@@ -0,0 +1,80 @@
+#pragma once
+#include <ATen/core/Tensor.h>
+#include <ATen/TensorUtils.h>
+#include <c10/util/irange.h>
+
+namespace at { namespace native {
+
+template<typename scalar_t>
+static inline std::vector<int> generate_intervals(
+    scalar_t sample,
+    int64_t inputSize,
+    int64_t outputSize,
+    int64_t poolSize) {
+  std::vector<int> sequence(outputSize);
+  if (outputSize > 1) {
+    scalar_t alpha = static_cast<scalar_t>(inputSize - poolSize) /
+      static_cast<scalar_t>(outputSize - 1);
+
+    for (const auto i : c10::irange(outputSize - 1)) {
+      sequence[i] =
+        static_cast<int>((i + sample) * alpha) - static_cast<int>(sample * alpha);
+    }
+  }
+  if (outputSize > 0) {
+    sequence[outputSize - 1] = inputSize - poolSize;
+  }
+  return sequence;
+}
+
+template <int64_t ndim>
+static inline void fractional_max_pool_check_shape(
+    const Tensor& input,
+    const Tensor& randomSamples) {
+
+  TORCH_CHECK(
+      input.scalar_type() == randomSamples.scalar_type(),
+      "Expect _random_samples to have the same dtype as input");
+
+  int64_t ndimension = randomSamples.ndimension();
+  TORCH_CHECK(
+      ndimension == 3,
+      "Expect _random_samples to have 3 dimensions, got ", ndimension);
+
+  int64_t N = randomSamples.size(0);
+  int64_t C = randomSamples.size(1);
+  int64_t D = randomSamples.size(2);
+
+  int64_t input_batch, input_channel;
+  if (ndim == 2) {
+    // fractional_max_pool2d
+    if (input.ndimension() == 3) {
+      input_batch = 1;
+      input_channel = input.size(0);
+    } else {
+      input_batch = input.size(0);
+      input_channel = input.size(1);
+    }
+  } else {
+    // factional_max_pool3d
+    if (input.ndimension() == 4) {
+      input_batch = 1;
+      input_channel = input.size(0);
+    } else {
+      input_batch = input.size(0);
+      input_channel = input.size(1);
+    }
+  }
+
+  TORCH_CHECK(
+      N >= input_batch,
+      "Expect _random_samples.size(0) no less then input batch size.");
+  TORCH_CHECK(
+      C == input_channel,
+      "Expect _random_samples.size(1) equals to input channel size.");
+  TORCH_CHECK(
+      D == ndim,
+      "Expect _random_samples.size(2) equals to ", ndim, "; got ", D, ".");
+}
+
+}} // at::native

wemm/lib/python3.10/site-packages/torch/include/ATen/native/FunctionOfAMatrixUtils.h

@@ -0,0 +1,20 @@
+#pragma once
+
+#include <ATen/native/DispatchStub.h>
+#include <cstdint>
+
+namespace at {
+struct TensorIterator;
+
+namespace native {
+
+using _compute_linear_combination_fn = void(*)(
+  TensorIterator& iter,
+  int64_t in_stride,
+  int64_t coeff_stride,
+  int64_t num_summations
+);
+
+DECLARE_DISPATCH(_compute_linear_combination_fn, _compute_linear_combination_stub);
+
+}} // namespace at::native

wemm/lib/python3.10/site-packages/torch/include/ATen/native/GridSampler.h

@@ -0,0 +1,298 @@
+#pragma once
+
+#include <algorithm>
+#include <cmath>
+#include <cstdint>
+#include <utility>
+
+#include <ATen/native/GridSamplerUtils.h>
+
+namespace at { namespace native {
+
+using detail::GridSamplerInterpolation;
+using detail::GridSamplerPadding;
+
+// Unnormalizes a coordinate from the -1 to +1 scale to its pixel index value,
+// where we view each pixel as an area between (idx - 0.5) and (idx + 0.5).
+// if align_corners: -1 and +1 get sent to the centers of the corner pixels
+//     -1 --> 0
+//     +1 --> (size - 1)
+//     scale_factor = (size - 1) / 2
+// if not align_corners: -1 and +1 get sent to the image edges
+//     -1 --> -0.5
+//     +1 --> (size - 1) + 0.5 == size - 0.5
+//     scale_factor = size / 2
+template <typename scalar_t>
+static inline scalar_t grid_sampler_unnormalize(scalar_t coord, int64_t size,
+                                                bool align_corners) {
+  if (align_corners) {
+    // unnormalize coord from [-1, 1] to [0, size - 1]
+    return ((coord + 1) / 2) * (size - 1);
+  } else {
+    // unnormalize coord from [-1, 1] to [-0.5, size - 0.5]
+    return ((coord + 1) * size - 1) / 2;
+  }
+}
+
+// grid_sampler_unnormalize_set_grad works the same as grid_sampler_unnormalize
+// except that it also returns the `d output / d input` via pointer argument
+// `grad_in`.
+// This is useful in the backward pass of grid_sampler.
+template <typename scalar_t>
+static inline scalar_t grid_sampler_unnormalize_set_grad(scalar_t coord, int64_t size,
+                                                         bool align_corners, scalar_t *grad_in) {
+  if (align_corners) {
+    // unnormalize coord from [-1, 1] to [0, size - 1]
+    *grad_in = static_cast<scalar_t>(size - 1) / 2;
+    return ((coord + 1) / 2) * (size - 1);
+  } else {
+    // unnormalize coord from [-1, 1] to [-0.5, size - 0.5]
+    *grad_in = static_cast<scalar_t>(size) / 2;
+    return ((coord + 1) * size - 1) / 2;
+  }
+}
+
+// Clips coordinates to between 0 and clip_limit - 1
+template<typename scalar_t>
+static inline scalar_t clip_coordinates(scalar_t in, int64_t clip_limit) {
+  return std::min(static_cast<scalar_t>(clip_limit - 1), std::max(in, static_cast<scalar_t>(0)));
+}
+
+// clip_coordinates_set_grad works similarly to clip_coordinates except that
+// it also returns the `d output / d input` via pointer argument `grad_in`.
+// This is useful in the backward pass of grid_sampler.
+template<typename scalar_t>
+static inline scalar_t clip_coordinates_set_grad(scalar_t in, int64_t clip_limit,
+                                                 scalar_t *grad_in) {
+  // Note that it is important for the gradient calculation that borders
+  // are considered out of bounds.
+  if (in <= static_cast<scalar_t>(0)) {
+    *grad_in = static_cast<scalar_t>(0);
+    return static_cast<scalar_t>(0);
+  } else {
+    scalar_t max = static_cast<scalar_t>(clip_limit - 1);
+    if (in >= max) {
+      *grad_in = static_cast<scalar_t>(0);
+      return max;
+    } else {
+      *grad_in = static_cast<scalar_t>(1);
+      return in;
+    }
+  }
+}
+
+// Reflects coordinates until they fall between low and high (inclusive).
+// The bounds are passed as twice their value so that half-integer values
+// can be represented as ints.
+template<typename scalar_t>
+static inline scalar_t reflect_coordinates(scalar_t in, int64_t twice_low,
+                                           int64_t twice_high) {
+  if (twice_low == twice_high) {
+    return static_cast<scalar_t>(0);
+  }
+  scalar_t min = static_cast<scalar_t>(twice_low) / 2;
+  scalar_t span = static_cast<scalar_t>(twice_high - twice_low) / 2;
+  in = std::fabs(in - min);
+  // `fmod` returns same sign as `in`, which is positive after the `fabs` above.
+  scalar_t extra = std::fmod(in, span);
+  int flips = static_cast<int>(std::floor(in / span));
+  if (flips % 2 == 0) {
+    return extra + min;
+  } else {
+    return span - extra + min;
+  }
+}
+
+// reflect_coordinates_set_grad works similarly to reflect_coordinates except
+// that it also returns the `d output / d input` via pointer argument
+// `grad_in`.
+// This is useful in the backward pass of grid_sampler.
+template<typename scalar_t>
+static inline scalar_t reflect_coordinates_set_grad(scalar_t in, int64_t twice_low,
+                                                    int64_t twice_high, scalar_t *grad_in) {
+  if (twice_low == twice_high) {
+    *grad_in = static_cast<scalar_t>(0);
+    return static_cast<scalar_t>(0);
+  }
+  int grad_in_mult_;
+  scalar_t min = static_cast<scalar_t>(twice_low) / 2;
+  scalar_t span = static_cast<scalar_t>(twice_high - twice_low) / 2;
+  in = in - min;
+  if (in < static_cast<scalar_t>(0)) {
+    grad_in_mult_ = -1;
+    in = -in;
+  } else {
+    grad_in_mult_ = 1;
+  }
+  // `fmod` returns same sign as `in`, which is positive after the `if` above.
+  scalar_t extra = std::fmod(in, span);
+  int flips = static_cast<int>(std::floor(in / span));
+  if (flips % 2 == 0) {
+    *grad_in = static_cast<scalar_t>(grad_in_mult_);
+    return extra + min;
+  } else {
+    *grad_in = static_cast<scalar_t>(-grad_in_mult_);
+    return span - extra + min;
+  }
+}
+
+// Mapping the out-of-boundary points back into boundary
+// This would only affect padding_mode=border or reflection
+template<typename scalar_t>
+static inline scalar_t compute_coordinates(scalar_t coord, int64_t size,
+                                           GridSamplerPadding padding_mode,
+                                           bool align_corners) {
+  if (padding_mode == GridSamplerPadding::Border) {
+    // clip coordinates to image borders
+    coord = clip_coordinates(coord, size);
+  } else if (padding_mode == GridSamplerPadding::Reflection) {
+    // reflect coordinates by image borders
+    if (align_corners) {
+      coord = reflect_coordinates(coord, 0, 2*(size - 1));
+    } else {
+      coord = reflect_coordinates(coord, -1, 2*size - 1);
+    }
+    // clip coordinates to image borders
+    coord = clip_coordinates(coord, size);
+  }
+  return coord;
+}
+
+// Computes the pixel source index value for a grid coordinate
+template <typename scalar_t>
+static inline scalar_t grid_sampler_compute_source_index(
+    scalar_t coord,
+    int64_t size,
+    GridSamplerPadding padding_mode,
+    bool align_corners) {
+  coord = grid_sampler_unnormalize(coord, size, align_corners);
+  coord = compute_coordinates(coord, size, padding_mode, align_corners);
+  return coord;
+}
+
+// grid_sampler_compute_source_index_set_grad works similarly to
+// grid_sampler_compute_source_index except that it also returns the
+// `d output / d input` via pointer argument `grad_in`.
+// This is useful in the backward pass of grid_sampler.
+template <typename scalar_t>
+static inline scalar_t grid_sampler_compute_source_index_set_grad(
+    scalar_t coord,
+    int64_t size,
+    GridSamplerPadding padding_mode,
+    bool align_corners,
+    scalar_t *grad_in) {
+  scalar_t grad_clip, grad_refl;
+  coord = grid_sampler_unnormalize_set_grad(coord, size, align_corners, grad_in);
+  if (padding_mode == GridSamplerPadding::Border) {
+    // clip coordinates to image borders
+    coord = clip_coordinates_set_grad(coord, size, &grad_clip);
+    *grad_in = (*grad_in) * grad_clip;
+  } else if (padding_mode == GridSamplerPadding::Reflection) {
+    // reflect coordinates by image borders
+    if (align_corners) {
+      coord = reflect_coordinates_set_grad(coord, 0, 2*(size - 1), &grad_refl);
+    } else {
+      coord = reflect_coordinates_set_grad(coord, -1, 2*size - 1, &grad_refl);
+    }
+    // clip coordinates to image borders
+    coord = clip_coordinates_set_grad(coord, size, &grad_clip);
+    *grad_in = (*grad_in) * grad_refl * grad_clip;
+  }
+  return coord;
+}
+
+static inline bool within_bounds_2d(int64_t h, int64_t w, int64_t H, int64_t W) {
+  return h >= 0 && h < H && w >= 0 && w < W;
+}
+
+static inline bool within_bounds_3d(int64_t d, int64_t h, int64_t w, int64_t D, int64_t H, int64_t W) {
+  return d >= 0 && d < D && h >= 0 && h < H && w >= 0 && w < W;
+}
+
+template<typename scalar_t>
+static inline scalar_t get_value_bounded(
+    scalar_t* data,
+    scalar_t x,
+    scalar_t y,
+    int64_t W,
+    int64_t H,
+    int64_t sW,
+    int64_t sH,
+    GridSamplerPadding padding_mode,
+    bool align_corners) {
+
+  x = compute_coordinates(x, W, padding_mode, align_corners);
+  y = compute_coordinates(y, H, padding_mode, align_corners);
+
+  int64_t ix = static_cast<int64_t>(x);
+  int64_t iy = static_cast<int64_t>(y);
+
+  if (within_bounds_2d(iy, ix, H, W)) {
+    return data[iy * sH + ix * sW];
+  }
+  return static_cast<scalar_t>(0);
+}
+
+template<typename scalar_t>
+static inline void safe_add_2d(scalar_t *data, int64_t h, int64_t w,
+                               int64_t sH, int64_t sW, int64_t H, int64_t W,
+                               scalar_t delta) {
+  if (within_bounds_2d(h, w, H, W)) {
+    data[h * sH + w * sW] += delta;
+  }
+}
+
+template<typename scalar_t>
+static inline void safe_add_3d(scalar_t *data, int64_t d, int64_t h, int64_t w,
+                               int64_t sD, int64_t sH, int64_t sW,
+                               int64_t D, int64_t H, int64_t W,
+                               scalar_t delta) {
+  if (within_bounds_3d(d, h, w, D, H, W)) {
+    data[d * sD + h * sH + w * sW] += delta;
+  }
+}
+
+template<typename scalar_t>
+static inline void add_value_bounded(
+    scalar_t* data,
+    scalar_t x,
+    scalar_t y,
+    int64_t W,
+    int64_t H,
+    int64_t sW,
+    int64_t sH,
+    scalar_t delta,
+    GridSamplerPadding padding_mode,
+    bool align_corners) {
+
+  x = compute_coordinates(x, W, padding_mode, align_corners);
+  y = compute_coordinates(y, H, padding_mode, align_corners);
+
+  int64_t ix = static_cast<int64_t>(x);
+  int64_t iy = static_cast<int64_t>(y);
+
+  safe_add_2d(data, iy, ix, sH, sW, H, W, delta);
+}
+
+// Calculate the differential of the cubic convolution, i.e. `d coeff / d x`
+template<typename scalar_t>
+static inline void get_cubic_coefficients_grad(
+    scalar_t coeffs[4],
+    scalar_t t) {
+
+  // Must be the same as forward calculation in
+  // aten/src/ATen/native/UpSample.h:get_cubic_upsample_coefficients
+  scalar_t A = -0.75;
+
+  scalar_t x;
+  x = -1 - t; // 1 < x = |-1 - tx| < 2
+  coeffs[0] = (-3 * A * x - 10 * A ) * x - 8 * A;
+  x = -t;     // x = |0 - tx| <= 1
+  coeffs[1] = (-3 * (A + 2) * x - 2 * (A + 3)) * x;
+  x = 1 - t;  // x = |1 - tx| <= 1
+  coeffs[2] = (3 * (A + 2) * x - 2 * (A + 3)) * x;
+  x = 2 - t;  // 1 < x = |2 - tx| < 2
+  coeffs[3] = (3 * A * x - 10 * A) * x + 8 * A;
+}
+
+}}  // namespace at::native

wemm/lib/python3.10/site-packages/torch/include/ATen/native/GridSamplerUtils.h

@@ -0,0 +1,109 @@
+#pragma once
+
+// See NOTE: [Tensor vs. TensorBase]
+// https://github.com/pytorch/pytorch/pull/66979
+#include <ATen/core/TensorBase.h>
+#include <ATen/native/TensorProperties.h>
+#include <ATen/native/CanUse32BitIndexMath.h>
+
+namespace at { namespace native {
+
+namespace detail {
+
+enum class GridSamplerInterpolation {Bilinear, Nearest, Bicubic};
+enum class GridSamplerPadding {Zeros, Border, Reflection};
+
+} // namespace detail
+
+using detail::GridSamplerInterpolation;
+using detail::GridSamplerPadding;
+
+namespace {
+
+// See NOTE [ grid_sampler Native Functions ].
+void check_grid_sampler_common(
+  const TensorBase& input,
+  const TensorBase& grid
+) {
+  auto input_opt = input.options();
+  auto grid_opt = grid.options();
+
+  TORCH_CHECK(
+    input.defined(),
+    "grid_sampler(): expected input to not be undefined");
+  TORCH_CHECK(
+    grid.defined(),
+    "grid_sampler(): expected grid to not be undefined");
+  TORCH_CHECK(
+    input_opt.device() == grid_opt.device(),
+    "grid_sampler(): expected input and grid to be on same device, but input "
+    "is on ", input_opt.device(), " and grid is on ", grid_opt.device());
+  TORCH_CHECK(
+    input_opt.layout() == kStrided && grid_opt.layout() == kStrided,
+    "grid_sampler(): expected input and grid to have torch.strided layout, but "
+    "input has ", input_opt.layout(), " and grid has ", grid_opt.layout());
+  TORCH_CHECK(
+    input.size(0) == grid.size(0),
+    "grid_sampler(): expected grid and input to have same batch size, but got "
+    "input with sizes ", input.sizes(), " and grid with sizes ", grid.sizes());
+  TORCH_CHECK(
+    grid.size(-1) == input.dim() - 2,
+    "grid_sampler(): expected grid to have size ", input.dim() - 2, " in last "
+    "dimension, but got grid with sizes ", grid.sizes());
+
+  for (const auto i : c10::irange(2, input.dim())) {
+    TORCH_CHECK(input.size(i) > 0,
+      "grid_sampler(): expected input to have non-empty spatial dimensions, "
+      "but input has sizes ", input.sizes(), " with dimension ", i, " being "
+      "empty");
+  }
+}
+
+// See NOTE [ grid_sampler Native Functions ].
+void check_grid_sampler_2d(
+  const TensorBase& input,
+  const TensorBase& grid
+) {
+  TORCH_CHECK(
+    input.dim() == 4 && input.dim() == grid.dim(),
+    "grid_sampler(): expected 4D input and grid with same number of "
+    "dimensions, but got input with sizes ", input.sizes(),
+    " and grid with sizes ", grid.sizes());
+}
+
+// See NOTE [ grid_sampler Native Functions ].
+void check_grid_sampler_3d(
+  const TensorBase& input,
+  const TensorBase& grid,
+  int64_t interpolation_mode
+) {
+  TORCH_CHECK(
+    input.dim() == 5 && input.dim() == grid.dim(),
+    "grid_sampler(): expected 5D input and grid with same number of "
+    "dimensions, but got input with sizes ", input.sizes(),
+    " and grid with sizes ", grid.sizes());
+  TORCH_CHECK(
+    !(input.dim() == 5 &&
+      static_cast<GridSamplerInterpolation>(interpolation_mode) ==
+        GridSamplerInterpolation::Bicubic),
+    "grid_sampler(): bicubic interpolation only supports 4D input");
+}
+
+// See NOTE [ grid_sampler Native Functions ].
+// cudnn does not support inputs larger than 1024.
+bool cond_cudnn_grid_sampler(
+  const TensorBase& input,
+  const TensorBase& grid
+) {
+  return (
+    at::native::cudnn_is_acceptable(input) &&
+    at::native::cudnn_is_acceptable(grid) &&
+    at::native::canUse32BitIndexMath(input) &&
+    at::native::canUse32BitIndexMath(grid) &&
+    input.dim() == 4 &&
+    input.sym_size(1) <= 1024);
+}
+
+} // anonymous namespace
+
+}} // namespace at::native

wemm/lib/python3.10/site-packages/torch/include/ATen/native/IndexingUtils.h

@@ -0,0 +1,160 @@
+#pragma once
+#include <ATen/ExpandUtils.h>
+#include <ATen/native/CanUse32BitIndexMath.h>
+#include <ATen/native/TensorIterator.h>
+#include <ATen/core/IListRef.h>
+#include <c10/util/irange.h>
+
+namespace at { namespace native {
+
+[[noreturn]]
+static void invalid_mask(const Tensor & self, int64_t idx, const Tensor & mask, int64_t maskIdx) {
+  TORCH_CHECK_INDEX(false, "The shape of the mask ", mask.sizes(), " at index ", maskIdx,
+  " does not match the shape of the indexed tensor ", self.sizes(), " at index ", idx);
+}
+
+
+static C10_UNUSED std::vector<Tensor> expandTensors(const Tensor & self, IOptTensorListRef indices) {
+  // If indices come in as ByteTensor or BoolTensor (masks), expand them into the equivalent indexing by LongTensors
+  std::vector<Tensor> result;
+  for (const auto& index_opt : indices) {
+    if (!index_opt.has_value()) {
+      result.emplace_back();
+    } else {
+      const auto& index = *index_opt;
+      if (index.scalar_type() == kByte || index.scalar_type() == kBool) {
+        if (index.scalar_type() == kByte) {
+          TORCH_WARN("indexing with dtype torch.uint8 is now deprecated," \
+          " please use a dtype torch.bool instead.");
+        }
+        // The sizes of the ByteTensor mask or bool tensor must match the sizes of the
+        // corresponding dimensions in self
+        for (const auto j : c10::irange(index.dim())) {
+          int64_t srcIdx = result.size() + j;
+          if (index.size(j) != self.size(srcIdx)) {
+            invalid_mask(self, srcIdx, index, j);
+          }
+        }
+        // Replace with nonzeros
+        auto nonzero = index.nonzero();
+        for (const auto j : c10::irange(index.dim())) {
+          result.emplace_back(nonzero.select(1, j));
+        }
+      } else {
+        result.emplace_back(std::move(index));
+      }
+    }
+  }
+  return result;
+}
+
+static C10_UNUSED void checkIndexTensorTypes(IOptTensorListRef indices, bool allow_int=false) {
+  for (const auto& tensor : indices) {
+    if (tensor.has_value() && tensor->defined()) {
+      auto scalarType = tensor->scalar_type();
+      if (allow_int) {
+        if (scalarType != kLong && scalarType != kByte && scalarType != kBool && scalarType != kInt) {
+            TORCH_CHECK_INDEX(false, "tensors used as indices must be long, int, byte or bool tensors");
+        }
+      } else {
+        if (scalarType != kLong && scalarType != kByte && scalarType != kBool) {
+            TORCH_CHECK_INDEX(false, "tensors used as indices must be long, byte or bool tensors");
+        }
+      }
+    }
+  }
+}
+
+inline torch::List<c10::optional<Tensor>> toListOfOptionalTensors(ArrayRef<Tensor> list) {
+  torch::List<c10::optional<Tensor>> result;
+  result.reserve(list.size());
+  for (const Tensor& a : list) {
+    result.push_back(a);
+  }
+  return result;
+}
+
+inline torch::List<c10::optional<Tensor>> toListOfOptionalTensors(ArrayRef<IValue> list) {
+  torch::List<c10::optional<Tensor>> result;
+  result.reserve(list.size());
+  for (const IValue& a : list) {
+    result.push_back(a.isTensor() ? c10::optional<Tensor>(a.toTensor()) : c10::optional<Tensor>());
+  }
+  return result;
+}
+
+static C10_UNUSED bool hasContiguousSubspace(TensorList tl) {
+  // true if all the non-null tensors are adjacent
+  auto isDefined = [](const Tensor & tensor){ return tensor.defined(); };
+  auto isNull = [](const Tensor & tensor){ return !tensor.defined(); };
+  auto start = std::find_if(tl.begin(), tl.end(), isDefined);
+  auto stop = std::find_if(tl.rbegin(), tl.rend(), isDefined);
+  auto it = std::find_if(start, stop.base(), isNull);
+  return it == stop.base();
+}
+
+
+// Transposes the tensor and indices together so that all the non-null indices
+// index the first k dimensions of the tensor. Returns the transposed tensor
+// and the reordered indices. For example:
+// transposeToFront(tensor, {nullptr, a, nullptr, b})
+// returns
+// tensor.permute([1, 3, 0, 2]), {a, b, nullptr, nullptr}
+static C10_UNUSED std::tuple<Tensor, std::vector<Tensor>>
+transposeToFront(Tensor self, TensorList indices) {
+  std::vector<int64_t> dims;
+  std::vector<Tensor> transposedIndices;
+  dims.reserve(self.dim());
+  for (const auto i : c10::irange(self.dim())) {
+    if (indices[i].defined()) {
+      dims.push_back(i);
+      transposedIndices.emplace_back(indices[i]);
+    }
+  }
+  for (const auto i : c10::irange(self.dim())) {
+    if (!indices[i].defined()) {
+      dims.push_back(i);
+      transposedIndices.emplace_back();
+    }
+  }
+  return std::make_tuple(self.permute(dims), std::move(transposedIndices));
+}
+
+inline std::tuple<Tensor, std::vector<Tensor>, std::vector<int64_t>>
+transposeToFrontAndInvPerm(Tensor self, TensorList indices) {
+  std::vector<int64_t> dims;
+  std::vector<int64_t> invPerm;
+  std::vector<Tensor> transposedIndices;
+  dims.reserve(self.dim());
+  invPerm.resize(self.dim());
+  for (const auto i : c10::irange(self.dim())) {
+    if (indices[i].defined()) {
+      dims.push_back(i);
+      transposedIndices.emplace_back(indices[i]);
+    }
+  }
+  for (const auto i : c10::irange(self.dim())) {
+    if (!indices[i].defined()) {
+      dims.push_back(i);
+      transposedIndices.emplace_back();
+    }
+  }
+  for (const auto i : c10::irange(self.dim())) {
+    invPerm[dims[i]] = i;
+  }
+  return std::make_tuple(self.permute(dims), std::move(transposedIndices), std::move(invPerm));
+}
+
+struct AdvancedIndex {
+  AdvancedIndex(const Tensor& src, TensorList indices);
+
+  Tensor src;
+  std::vector<Tensor> indices;
+  DimVector indexed_sizes;
+  DimVector indexed_strides;
+  int64_t dims_before;
+  int64_t dims_after;
+};
+
+
+}}

wemm/lib/python3.10/site-packages/torch/include/ATen/native/Lerp.h

@@ -0,0 +1,48 @@
+#pragma once
+
+#include <ATen/native/DispatchStub.h>
+#include <ATen/OpMathType.h>
+#include <ATen/TensorIterator.h>
+#include <c10/core/Scalar.h>
+
+namespace at {
+namespace native {
+
+template <typename scalar_t>
+C10_HOST_DEVICE C10_ALWAYS_INLINE bool is_lerp_weight_small(scalar_t weight) {
+  return std::abs(weight) < scalar_t(0.5);
+}
+template <typename scalar_t>
+C10_HOST_DEVICE C10_ALWAYS_INLINE bool is_lerp_weight_small(c10::complex<scalar_t> weight) {
+  // Avoid the sqrt in abs(weight)
+  return (weight.real() * weight.real() + weight.imag() * weight.imag()) < scalar_t(0.25);
+}
+
+template <typename scalar_t, typename weight_t>
+C10_HOST_DEVICE C10_ALWAYS_INLINE scalar_t lerp(scalar_t self_, scalar_t end_, weight_t weight_) {
+  using opmath_t = at::opmath_type<scalar_t>;
+  using opmath_weight_t = at::opmath_type<weight_t>;
+
+  opmath_t self = self_;
+  opmath_t end = end_;
+  opmath_weight_t weight = weight_;
+
+  // Conditional for better numeric. This has been discussed in
+  // https://github.com/pytorch/pytorch/pull/18871
+  return is_lerp_weight_small(weight)
+      ? self + weight * (end - self)
+      : end - (end - self) * (opmath_t(1) - weight);
+}
+
+using lerp_fn_scalar = void (*)(
+    at::TensorIteratorBase& iter,
+    const Scalar& weight);
+
+using lerp_fn_tensor = void (*)(
+    at::TensorIteratorBase& iter);
+
+DECLARE_DISPATCH(lerp_fn_scalar, lerp_kernel_scalar_weight);
+DECLARE_DISPATCH(lerp_fn_tensor, lerp_kernel_tensor_weight);
+
+} // namespace native
+} // namespace at

wemm/lib/python3.10/site-packages/torch/include/ATen/native/LinearAlgebra.h

@@ -0,0 +1,18 @@
+#pragma once
+
+#include <ATen/native/DispatchStub.h>
+#include <c10/util/Optional.h>
+
+namespace c10 {
+class Scalar;
+}
+
+namespace at {
+struct TensorIterator;
+}
+
+namespace at { namespace native {
+
+using addr_fn = void (*)(TensorIterator &, const Scalar& beta, const Scalar& alpha);
+DECLARE_DISPATCH(addr_fn, addr_stub);
+}} // namespace at::native

wemm/lib/python3.10/site-packages/torch/include/ATen/native/LinearAlgebraUtils.h

@@ -0,0 +1,624 @@
+#pragma once
+
+#include <c10/core/ScalarType.h>
+#include <c10/util/irange.h>
+#include <c10/util/Exception.h>
+#include <c10/util/strides.h>
+#include <ATen/core/Tensor.h>
+#include <ATen/ExpandUtils.h>
+#include <ATen/TensorUtils.h>
+#include <ATen/native/TensorIterator.h>
+#include <ATen/native/TransposeType.h>
+#include <limits>
+#include <type_traits>
+#include <sstream>
+#include <cstring>
+#include <cctype>
+
+#ifndef AT_PER_OPERATOR_HEADERS
+#include <ATen/Functions.h>
+#else
+#include <ATen/ops/arange.h>
+#include <ATen/ops/empty.h>
+#include <ATen/ops/empty_like.h>
+#include <ATen/ops/empty_strided.h>
+#include <ATen/ops/zeros.h>
+#endif
+
+namespace at { namespace native {
+
+static inline c10::MaybeOwned<Tensor> expect_resolved_conj(const Tensor& tensor) {
+  if (tensor.is_conj()) {
+    return c10::MaybeOwned<Tensor>::owned(tensor.resolve_conj());
+  } else {
+    return c10::MaybeOwned<Tensor>::borrowed(tensor);
+  }
+}
+
+static inline DimVector batched_matrix_contiguous_strides(
+    const IntArrayRef sizes,
+    const bool f_contig = false) {
+  // f_contig chooses between the strides of a batch of Fortran (F-contiguous)
+  // and C-contiguous matrices
+  auto strides = c10::contiguous_strides(sizes);
+  auto dim = strides.size();
+
+  if (f_contig && dim >= 2) {
+    // Fix the strides of the last two dimensions, so that we return
+    // C-contiguous batches of F-contiguous matrices.
+    strides[dim - 1] = std::max(sizes[dim - 2], static_cast<int64_t>(1));
+    strides[dim - 2] = 1;
+  }
+  return strides;
+}
+
+/*
+ * Clones a Tensor so that the following conditions hold:
+ * If we think of a Tensor of having size (B, M, N), where B is any number
+ * of batch dimensions, then:
+ * - Each (M, N) matrix is in column major form
+ * - Let Tensor P have size (B, M, N) and Q have size (B, M', N').
+ *   Then when laid out in memory, the M by N matrix starting at
+ *   P.data_ptr()[B * M * N] is of the same corresponding batch as the M' by N'
+ *   matrix starting at Q.data_ptr()[B * M' * N'].
+ */
+static inline Tensor cloneBatchedColumnMajor(const Tensor& src) {
+  // If src is already in batched column major format, then
+  // this will be efficient (no reordering of the data will occur)
+  // because the first transpose will make the tensor contiguous,
+  // and cloning a contiguous tensor is fast.
+  auto result = src.mT().clone(at::MemoryFormat::Contiguous);
+  result.transpose_(-2, -1);
+  return result;
+}
+
+/*
+ * contig chooses between C-contig (true) and F-contig (false)
+ */
+static inline c10::MaybeOwned<Tensor> borrow_else_clone(const bool cond, const Tensor& borrow, const Tensor& clone, const bool contig) {
+  return cond ? c10::MaybeOwned<Tensor>::borrowed(borrow)
+              : c10::MaybeOwned<Tensor>::owned(contig ? clone.clone(MemoryFormat::Contiguous)
+                                                      : cloneBatchedColumnMajor(clone));
+}
+
+/*
+ * This method is designed to be a faster alternative to
+ * `cloneBatchedColumnMajor` with some additional features,
+ * namely:
+ * 1. It uses `copy` instead of `clone` which could be much faster.
+ * 2. `nrows` parameter used to create inputs with the number of rows larger
+ *  than the original input, which is required for some LAPACK/MAGMA methods.
+ * 3. `desired_batch_size` is used to create copies with the batch size
+ *  which is either the original batch size of the input, or its larger
+ *  broadcasted shape.
+ */
+static inline Tensor copyBatchedColumnMajor(const Tensor& src, int64_t nrows = -1,
+    at::OptionalIntArrayRef desired_batch_sizes = c10::nullopt) {
+  nrows = (nrows == -1) ? src.size(-2) : nrows;
+  auto copy_sizes = desired_batch_sizes.has_value()
+    ? desired_batch_sizes.value().vec()
+    : IntArrayRef(src.sizes().data(), src.dim() - 2).vec();
+  copy_sizes.insert(copy_sizes.end(), {nrows, src.size(-1)});
+  const auto copy_strides = batched_matrix_contiguous_strides(copy_sizes, /*f-contig*/true);
+  auto copy = at::empty_strided(copy_sizes, copy_strides, src.options());
+  copy.narrow(-2, 0, src.size(-2)).copy_(src);
+  return copy;
+}
+
+/*
+ * Given batches of matrices with arbitrary batch dim,
+ * computes the number of batches.
+ */
+static inline int64_t batchCount(const Tensor& batched_matrices) {
+  int64_t result = 1;
+  for (int64_t i = 0; i < batched_matrices.ndimension() - 2; i++) {
+    result *= batched_matrices.size(i);
+  }
+  return result;
+}
+
+// Computes the number of elements of a matrix in a batched matrix tensor
+static inline int64_t matrixStride(const Tensor& batched_matrices) {
+  return batched_matrices.size(-1) * batched_matrices.size(-2);
+}
+
+// Validates input shapes for operations on batches of square matrices (inverse, cholesky, symeig, eig)
+static inline void checkIsMatrix(const Tensor& A, const char* const f_name, const char* const arg_name = "A") {
+  TORCH_CHECK(A.dim() >= 2, f_name, ": The input tensor ", arg_name, " must have at least 2 dimensions.");
+}
+static inline void squareCheckInputs(const Tensor& self, const char* const f_name, const char* const arg_name = "A") {
+  checkIsMatrix(self, f_name, arg_name);
+  TORCH_CHECK(self.size(-1) == self.size(-2),
+              f_name,
+              ": ", arg_name, " must be batches of square matrices, "
+              "but they are ", self.size(-2), " by ", self.size(-1), " matrices");
+}
+
+static inline void checkInputsSolver(const Tensor& A,
+                                     const Tensor& B,
+                                     const bool left,
+                                     const char* const f_name) {
+  squareCheckInputs(A, f_name, "A");
+  checkIsMatrix(B, f_name, "B");
+  TORCH_CHECK(left ? A.size(-2) == B.size(-2) : A.size(-1) == B.size(-1),
+              f_name, ": Incompatible shapes of A and B for the equation ",
+              left ? "AX = B" : "XA = B",
+              " (", A.size(-2), "x", A.size(-1), " and ", B.size(-2), "x", B.size(-1), ")");
+}
+
+static inline bool is_row_or_column_contiguous(const Tensor& t) {
+  // This could be made more general, similar to how it's checked in matmul, which would allow to
+  // ellide the copy with strides such as (6, 12, 1, 3) or (3, 1, 9), but this is quite tricky.
+  // We choose to be conservative for simplicity
+  return t.is_contiguous() || t.transpose(-2, -1).is_contiguous();
+}
+
+static inline TransposeType to_transpose_type(const bool contig, const bool conj) {
+  if (conj) {
+    if (contig) { TORCH_INTERNAL_ASSERT(false, "Invalid transpose type"); }
+    else {        return TransposeType::ConjTranspose; }
+  } else {
+    if (contig) { return TransposeType::NoTranspose; }
+    else {        return TransposeType::Transpose; }
+  }
+}
+
+
+// This function is designed to be used with linear algebra methods that minimize
+// L(ax - b) = 0, where L is generally the identity map (`solve`, for example)
+// or the L2 norm (`lstsq`).
+// It is expected that `a` and `b` are contiguous tensors of column-major matrices
+// (so that a.view({-1, a.size(-2), a.size(-1)}) succeeds, same for `b`),
+// with the following additional properties:
+//
+// 1. a.dim() == b.dim()
+// 2. a.shape[:-2] broadcasts over b.shape[:-2]
+// 3. a.size(i) <= b.size(i) for i=0,..., a.dim() - 3 (only for batch dimensions)
+//
+// MAGMA/LAPACK modify tensor `a` in-place, and the main goal of this method
+// is to be memory efficient, which means that if there exists an index i such that
+// a.shape[i] < b.shape[i], 0 <= i <= a.dim() - 3,
+// then instead of materializing copies of `a` in the broadcasted shape, we keep
+// a buffer copy of `a` along with flags that check whether specific batch dimension
+// indices for `a` were already accessed. If they were, we copy the data from the buffer
+// into `a`. The number of copies does not exceed
+// prod(max(a.shape[:-2], b.shape[:-2]) - a.shape[:-2] + 1)
+// and this value is attained by tensors with non-empty batch dimensions.
+//
+// func_t `f` is a callable that is being supplied with
+// scalar_t* a_working_ptr, scalar_t* b_working_ptr, int64_t a_linear_batch_idx.
+// a_working_ptr and b_working_ptr can directly be passed to LAPACK/MAGMA routines,
+// and a_linear_batch_idx is an index in the 3d representation which corresponds to
+// the memory a_working_ptr points to, in other words:
+// a_working_ptr == a.view({-1, a.size(-2), a.size(-1)}.select(0, a_linear_batch_idx).data_ptr<scalar_t>();
+// a_linear_batch_idx is useful to store metadata related to `a`, such as, for example,
+// its rank or singular values (see linalg_lstsq).
+template<typename scalar_t, typename func_t>
+void batch_iterator_with_broadcasting(const Tensor& a, const Tensor& b, const func_t& f) {
+  IntArrayRef a_batch_sizes(a.sizes().data(), a.dim() - 2);
+  IntArrayRef b_batch_sizes(b.sizes().data(), b.dim() - 2);
+
+  auto a_linear_batch_idx = at::arange(batchCount(a)).view(a_batch_sizes);
+  auto b_linear_batch_idx = at::arange(batchCount(b)).view(b_batch_sizes);
+
+  TensorIterator iter = TensorIteratorConfig()
+    .set_check_mem_overlap(false)
+    .check_all_same_dtype(false)
+    .resize_outputs(false)
+    .add_output(b_linear_batch_idx)
+    .add_input(a_linear_batch_idx)
+    .build();
+
+  auto m = a.size(-2);
+  auto n = a.size(-1);
+  auto a_3d = a.view({batchCount(a), m, n});
+  auto b_3d = b.view({batchCount(b), b.size(-2), b.size(-1)});
+
+  auto a_broadcasts_over_b = (a_batch_sizes != b_batch_sizes);
+  Tensor a_buffer, a_was_accessed, a_buffer_3d;
+  std::function<void(int64_t)> check_if_copy_needed_for_a
+    = [](int64_t /*a_curr_linear_batch_idx*/){};
+  if (a_broadcasts_over_b) {
+    a_buffer = at::empty_strided(a.sizes(), a.strides(), a.options())
+      .copy_(a);
+    a_was_accessed = at::zeros(batchCount(a), at::kBool);
+    a_buffer_3d = a_buffer.view({batchCount(a), m, n});
+    check_if_copy_needed_for_a = [&](int64_t a_curr_linear_batch_idx) {
+      auto* a_was_accessed_flag = a_was_accessed
+        .select(0, a_curr_linear_batch_idx)
+        .data_ptr<bool>();
+      if (!(*a_was_accessed_flag)) {
+        *a_was_accessed_flag = true;
+      }
+      else {
+        a_3d.select(0, a_curr_linear_batch_idx)
+          .copy_(a_buffer_3d.select(0, a_curr_linear_batch_idx));
+      }
+    };
+  }
+
+  auto loop = [&](char** data, const int64_t* strides, int64_t nelems) {
+    auto* b_batch_idx_ptr = data[0];
+    auto* a_batch_idx_ptr = data[1];
+
+    for (const auto elem C10_UNUSED : c10::irange(nelems)) {
+      auto b_curr_linear_batch_idx = *reinterpret_cast<int64_t*>(b_batch_idx_ptr);
+      auto a_curr_linear_batch_idx = *reinterpret_cast<int64_t*>(a_batch_idx_ptr);
+
+      check_if_copy_needed_for_a(a_curr_linear_batch_idx);
+
+      auto* a_working_ptr = a_3d.select(0, a_curr_linear_batch_idx)
+        .data_ptr<scalar_t>();
+      auto* b_working_ptr = b_3d.select(0, b_curr_linear_batch_idx)
+        .data_ptr<scalar_t>();
+      f(a_working_ptr, b_working_ptr, a_curr_linear_batch_idx);
+
+      b_batch_idx_ptr += strides[0];
+      a_batch_idx_ptr += strides[1];
+    }
+  };
+  iter.serial_for_each(loop, {0, batchCount(b)});
+}
+
+// Returns the epsilon value for floating types except half
+static inline double _get_epsilon(const ScalarType& sc_type) {
+  switch (sc_type) {
+    case at::ScalarType::Float:
+      return static_cast<double>(std::numeric_limits<float>::epsilon());
+    case at::ScalarType::Double:
+      return std::numeric_limits<double>::epsilon();
+    default:
+      AT_ERROR("This function doesn't handle types other than float and double");
+  }
+}
+
+// Validates input shapes and devices
+// for linear solve methods (solve, cholesky_solve, lu_solve, triangular_solve)
+static inline void linearSolveCheckInputs(const Tensor& self, const Tensor& A, const char* name) {
+  TORCH_CHECK(self.device() == A.device(),
+              "Expected b and A to be on the same device, but found b on ",
+              self.device(), " and A on ", A.device(), " instead.");
+
+  TORCH_CHECK(self.scalar_type() == A.scalar_type(),
+              "Expected b and A to have the same dtype, but found b of type ",
+              self.scalar_type(), " and A of type ", A.scalar_type(), " instead.");
+
+  TORCH_CHECK(A.size(-1) == A.size(-2),
+              "A must be batches of square matrices, "
+              "but they are ", A.size(-2), " by ", A.size(-1), " matrices");
+
+  TORCH_CHECK(A.size(-1) == self.size(-2),
+              "Incompatible matrix sizes for ", name, ": each A "
+              "matrix is ", A.size(-1), " by ", A.size(-1),
+              " but each b matrix is ", self.size(-2), " by ", self.size(-1));
+}
+
+static inline void checkFloatingOrComplex(const Tensor& t, const char* const f_name, const bool allow_low_precision_dtypes=true) {
+  auto dtype = t.scalar_type();
+  TORCH_CHECK((at::isFloatingType(dtype) || at::isComplexType(dtype)),
+              f_name, ": Expected a floating point or complex tensor as input. Got ", dtype);
+  if (!allow_low_precision_dtypes) {
+    TORCH_CHECK(dtype == kFloat || dtype == kDouble || dtype == kComplexFloat || dtype == kComplexDouble,
+                f_name, ": Low precision dtypes not supported. Got ", dtype);
+  }
+}
+
+
+// Checks if all the Tensors in a TensorList are of the same dimensions
+static inline void checkAllSameDim(TensorList tensors, int64_t dim) {
+  for (auto &t : tensors) {
+    TORCH_CHECK(t.dim() == dim, "Tensor dimension is ", t.dim(), ", expected ", dim, " instead.");
+  }
+}
+
+static inline std::tuple<std::vector<int64_t>, std::vector<int64_t>> _linalg_broadcast_batch_dims(const Tensor& arg1, const Tensor& arg2) {
+  // broadcast the batch dimensions of arg1 and arg2.
+  IntArrayRef arg1_batch_sizes(arg1.sizes().data(), arg1.ndimension() - 2);
+  IntArrayRef arg2_batch_sizes(arg2.sizes().data(), arg2.ndimension() - 2);
+  std::vector<int64_t> expand_batch_portion = infer_size(arg1_batch_sizes, arg2_batch_sizes);
+
+  std::vector<int64_t> arg1_expand_size({expand_batch_portion});
+  arg1_expand_size.insert(arg1_expand_size.end(), { arg1.size(-2), arg1.size(-1) });
+
+  std::vector<int64_t> arg2_expand_size({expand_batch_portion});
+  arg2_expand_size.insert(arg2_expand_size.end(), { arg2.size(-2), arg2.size(-1) });
+  return std::make_tuple(std::move(arg1_expand_size), std::move(arg2_expand_size));
+}
+
+static inline std::tuple<Tensor,Tensor> _linalg_broadcast_batch_dims(const Tensor& arg1, const Tensor& arg2, const char* name) {
+  // If there's no name we assume we don't want to check the errors
+  if (name != nullptr) {
+    linearSolveCheckInputs(arg1, arg2, name);
+  }
+
+  std::vector<int64_t> arg1_expand_size, arg2_expand_size;
+  std::tie(arg1_expand_size, arg2_expand_size) = at::native::_linalg_broadcast_batch_dims(arg1, arg2);
+
+  auto arg1_broadcasted  = arg1_expand_size == arg1.sizes() ? arg1 : arg1.expand(arg1_expand_size);
+  auto arg2_broadcasted  = arg2_expand_size == arg2.sizes() ? arg2 : arg2.expand(arg2_expand_size);
+  return std::make_tuple(arg1_broadcasted, arg2_broadcasted);
+}
+
+static inline std::vector<int64_t> broadcast_batch_size(const Tensor& t1, const Tensor& t2, int64_t n_batch_dims) {
+  IntArrayRef t1_batch_sizes(t1.sizes().data(), n_batch_dims);
+  IntArrayRef t2_batch_sizes(t2.sizes().data(), n_batch_dims);
+  auto broadcasted_batch_sizes = infer_size(t1_batch_sizes, t2_batch_sizes);
+  return broadcasted_batch_sizes;
+}
+
+// Return a permutation with the given axes moved to the end.
+static inline Tensor _move_to_end(const Tensor& self, IntArrayRef axes) {
+  const std::vector<int64_t> a = axes.vec();
+  const int64_t ndim = self.ndimension();
+  std::vector<int64_t> perm;
+
+  for (const auto i : c10::irange(ndim)) {
+    auto it = std::find(a.begin(), a.end(), i);
+    if (it == a.end()) {
+       perm.push_back(i);
+    }
+  }
+  for (auto i : a) {
+    perm.push_back(i);
+  }
+
+  TORCH_CHECK((int64_t)perm.size() == ndim,
+    "duplicate or invalid axis in 'dim' argument for tensor with ndim==", ndim);
+
+  return self.permute(perm);
+}
+
+// parse the "mode" param in linalg_qr: return a tuple of bools (compute_q, reduced)
+static inline std::tuple<bool, bool> _parse_qr_mode(c10::string_view mode) {
+  bool compute_q;
+  bool reduced;
+  if (mode == "reduced") {
+    compute_q = true;
+    reduced = true;
+  } else if (mode == "complete") {
+    compute_q = true;
+    reduced = false;
+  } else if (mode == "r") {
+    compute_q = false;
+    reduced = true; // this is actually irrelevant in this mode
+  } else {
+      TORCH_CHECK(false, "qr received unrecognized mode '", mode,
+                  "' but expected one of 'reduced' (default), 'r', or 'complete'");
+  }
+  return std::make_tuple(compute_q, reduced);
+}
+
+// Function to compute sizes, strides and the extra columns for the Q matrix in the QR Decomposition
+static inline std::tuple<DimVector, DimVector, int64_t> _compute_geometry_for_Q(
+    const Tensor& input,
+    bool reduced) {
+  int64_t m = input.size(-2), n = input.size(-1);
+  int64_t n_columns_q;
+
+  // We need to compute the required size of Q based on the `reduced` option
+  DimVector q_sizes(input.sizes());
+  if (!reduced && m > n) {
+    q_sizes[input.dim() - 1] = m;
+    n_columns_q = m;
+  } else {
+    q_sizes[input.dim() - 1] = n;
+    n_columns_q = std::min(m, n);
+  }
+  auto q_strides = batched_matrix_contiguous_strides(q_sizes, /*f-contig*/true);
+  return std::make_tuple(q_sizes, q_strides, n_columns_q);
+}
+
+static inline bool svd_uses_cusolver(const Tensor& A) {
+  // if cusolver is available, it is used unconditionally
+  return A.is_cuda()
+         && at::globalContext().hasCuSOLVER()
+         && at::globalContext().linalgPreferredBackend() != at::LinalgBackend::Magma;
+}
+
+
+// Function used instead of .to so that the original strides are retained
+// .to doesn't retain strides and make the output tensor contiguous
+static inline Tensor same_stride_to(const Tensor& original_tensor, const at::TensorOptions& options) {
+  auto strided_to = at::empty_strided(original_tensor.sizes(),
+                                      original_tensor.strides(),
+                                      options);
+  strided_to.copy_(original_tensor);
+  return strided_to;
+}
+
+// Creates a dimension permutation array that can be given to `at::permute()`, which will shift
+// the two specified dimensions to the end of a tensor, without changing the order of
+// the other dimensions. `dim1` will be placed at the very end, and `dim0` will be
+// placed just to the left of it.
+//
+// For instance, given a 4-D tensor, dimensions 1 and 3 can be shifted to the end by
+// calling `create_dim_backshift_permutation(1, 3, 4)`. The resulting vector will
+// be `vec(0, 2, 1, 3)`.
+static inline std::vector<int64_t> create_dim_backshift_permutation(int64_t dim0, int64_t dim1, int64_t ndim) {
+  TORCH_CHECK(
+    (dim0 != dim1) && (dim0 < ndim) && (dim0 >= 0) && (dim1 < ndim) && (dim1 >= 0),
+    "duplicate or invalid dimensions");
+  std::vector<int64_t> permutation(ndim);
+  int64_t cur_permuted_dim = 0;
+  for (const auto dim_ind : c10::irange(ndim)) {
+    if ((dim_ind != dim0) && (dim_ind != dim1)) {
+      permutation[cur_permuted_dim++] = dim_ind;
+    }
+  }
+  permutation[cur_permuted_dim++] = dim0;
+  permutation[cur_permuted_dim] = dim1;
+  return permutation;
+}
+
+// Creates a dimension permutation array that can be given to `at::permute()`, which
+// will reverse a given permutation.
+// The reverse permutation array is created by swapping the indices and their
+// associated values from the given permutation array.
+static inline std::vector<int64_t> create_reverse_permutation(std::vector<int64_t> permutation) {
+  int64_t ndim = permutation.size();
+  std::vector<int64_t> reverse_permutation(ndim);
+  for (const auto dim_ind : c10::irange(ndim)) {
+    reverse_permutation[permutation[dim_ind]] = dim_ind;
+  }
+  return reverse_permutation;
+}
+
+// Compute R-work array size for MAGMA/LAPACK cgesdd/zgesdd
+// See https://github.com/Reference-LAPACK/lapack/blob/122506cd8b6ce050a200920c3d4c0b153b150fd8/SRC/cgesdd.f#L186
+static inline int64_t computeLRWorkDim(const char jobz, int64_t m, int64_t n) {
+  auto mn = std::min(m, n);
+  auto mx = std::max(m, n);
+  if (jobz == 'N') {
+#ifdef __APPLE__
+    // According to `vecLib.framework/Headers/clapack.h` Accelerate.framework is based on LAPACK 3.2.1
+    return 7 * mn;
+#else
+    // These setting is valid for on LAPACK 3.6+
+    return 5 * mn;
+#endif
+  }
+  if (mx > 10 * mn) {
+    return 5 * mn * mn + 5 * mn;
+  }
+  return std::max(5 * mn * mn + 5 * mn, 2 * mx * mn + 2 * mn * mn + mn);
+}
+
+// This function checks whether the uplo argument input is valid
+// Allowed strings are "u", "U", "l", "L"
+static inline void checkUplo(const c10::string_view uplo) {
+  // To use std::toupper safely with plain chars (or signed chars), the argument should first be converted to unsigned char
+  char uplo_uppercase = static_cast<char>(std::toupper(static_cast<unsigned char>(uplo[0])));
+  TORCH_CHECK(uplo.size() == 1 && (uplo_uppercase == 'U' || uplo_uppercase == 'L'),
+    "Expected UPLO argument to be 'L' or 'U', but got ", uplo);
+}
+
+static inline void checkSameDevice(const std::string& fn_name, Tensor result, Tensor input, const std::string& result_name = "result") {
+  TORCH_CHECK(
+      result.device() == input.device(),
+      fn_name,
+      ": Expected ", result_name, " and input tensors to be on the same device, but got ",
+      result_name, " on ", result.device(), " and input on ", input.device());
+}
+
+// Check the dtype of result and input tensors (for _out variants).
+// Most linear algebra functions have the same dtype for input and output
+// (either floating or complex type input), so we can check whether input's dtype can be casted to result's dtype.
+// According to https://github.com/pytorch/pytorch/wiki/Developer-FAQ#how-does-out-work-in-pytorch
+// c10::canCast is used for checking the "safe copy" dtype requirements.
+static inline void checkLinalgCompatibleDtype(const std::string& fn_name, Tensor result, Tensor input, const std::string& result_name = "result") {
+  bool can_cast = c10::canCast(input.scalar_type(), result.scalar_type());
+  TORCH_CHECK(
+      can_cast,
+      fn_name,
+      ": Expected ", result_name, " to be safely castable from ", input.scalar_type(), " dtype, but got ",
+      result_name, " with dtype ", result.scalar_type());
+}
+
+// Alternatively, we can check whether the specific expected output type (result_type) can be safely casted to out tensor dtype (out_type)
+static inline void checkLinalgCompatibleDtype(const std::string& fn_name, ScalarType out_type, ScalarType result_type, const std::string& out_name = "result") {
+  bool can_cast = c10::canCast(result_type, out_type);
+  TORCH_CHECK(
+      can_cast,
+      fn_name,
+      ": Expected ", out_name, " to be safely castable from ", result_type, " dtype, but got ",
+      out_name, " with dtype ", out_type);
+}
+
+static inline void checkNotComplexTolerance(const Tensor& tol, const c10::string_view f_name, const c10::string_view tol_name) {
+  TORCH_CHECK(!at::isComplexType(tol.scalar_type()),
+              f_name, ": ", tol_name, " tensor of complex type is not supported. Got ", tol.scalar_type());
+}
+
+/*
+  Two types of 'other' tensors are supported when solving
+  a system of linear equations matmul(input, x) = other:
+  * 1-dimensional (1D) tensor or batch of 1D tensors (vector case)
+  * 2-dimensional (2D) tensor or batch of 2D tensors (matrix case).
+  The original torch.solve supported only the matrix case, while NumPy works for both cases.
+  For the batched input we need to be able to distinguish them.
+  Let input.shape = (batch_dimensions, m, n), then 'other' is of vector type if other.shape == (batch_dimensions, m).
+  This rule is compatible with NumPy, see https://github.com/numpy/numpy/blob/v1.20.0/numpy/linalg/linalg.py#L384-L389
+*/
+static inline bool linalg_solve_is_vector_rhs(const Tensor& input, const Tensor& other) {
+  auto expected_batched_rhs_shape = IntArrayRef(input.sizes().data(), input.dim() - 1); // input.shape[:-1]
+  bool vector_case = other.dim() == 1 || (input.dim() - 1 == other.dim() && other.sizes().equals(expected_batched_rhs_shape));
+  return vector_case;
+}
+
+/*
+  Computes linear indices for a tensor with original_shape to access its elements like it was a materialized broadcast tensor.
+*/
+static inline Tensor get_linear_indices(int64_t numel, IntArrayRef original_shape, IntArrayRef broadcast_shape) {
+  TensorOptions options = at::TensorOptions().dtype(at::kLong).device(at::kCPU);
+  return at::arange(numel, options).view(original_shape).broadcast_to(broadcast_shape).contiguous();
+}
+
+class BroadcastLinearIndices {
+ private:
+  Tensor linear_indices_;
+  bool is_broadcasting_;
+
+ public:
+  BroadcastLinearIndices(
+      int64_t numel,
+      IntArrayRef original_shape,
+      IntArrayRef broadcast_shape) : is_broadcasting_(!original_shape.equals(broadcast_shape)) {
+    // The assumption is that the broadcast_shape is a materialized broadcast
+    // shape of the original_shape. We need to compute the linear indices
+    // compatible with the original_shape to access the elements in the original
+    // tensor corresponding to the broadcast tensor.
+    if (is_broadcasting_) {
+      linear_indices_ =
+          get_linear_indices(numel, original_shape, broadcast_shape);
+    }
+  }
+  int64_t operator()(int64_t broadcast_linear_index) {
+    return is_broadcasting_
+        ? linear_indices_.data_ptr<int64_t>()[broadcast_linear_index]
+        : broadcast_linear_index;
+  }
+};
+
+static inline bool is_blas_compatible_column_major_order(const Tensor& input) {
+  IntArrayRef input_strides = input.strides();
+  IntArrayRef input_sizes = input.sizes();
+  auto ndim = input.dim();
+  TORCH_INTERNAL_ASSERT_DEBUG_ONLY(ndim >= 2);
+  if (ndim > 3) {
+    return input.transpose(-2, -1).is_contiguous();
+  }
+  auto leading_dimension = input_strides[ndim - 1];
+  auto rows = input_sizes[ndim - 2];
+  bool batch_stride_compatible = true;
+  if (ndim == 3) {
+    auto cols = input_sizes[ndim - 1];
+    batch_stride_compatible =
+        input_strides[ndim - 3] >= leading_dimension * cols;
+  }
+  return (input_strides[ndim - 2] == 1) &&
+      (leading_dimension >= std::max<int64_t>(1, rows)) &&
+      batch_stride_compatible;
+}
+
+static inline bool is_blas_compatible_row_major_order(const Tensor& input) {
+  IntArrayRef input_strides = input.strides();
+  IntArrayRef input_sizes = input.sizes();
+  auto ndim = input.dim();
+  TORCH_INTERNAL_ASSERT_DEBUG_ONLY(ndim >= 2);
+  if (ndim > 3) {
+    return input.is_contiguous();
+  }
+  auto leading_dimension = input_strides[ndim - 2];
+  auto cols = input_sizes[ndim - 1];
+  bool batch_stride_compatible = true;
+  if (ndim == 3) {
+    auto rows = input_sizes[ndim - 2];
+    batch_stride_compatible =
+        input_strides[ndim - 3] >= leading_dimension * rows;
+  }
+  return (input_strides[ndim - 1] == 1) &&
+      (leading_dimension >= std::max<int64_t>(1, cols)) &&
+      batch_stride_compatible;
+}
+
+}}  // namespace at::native

wemm/lib/python3.10/site-packages/torch/include/ATen/native/LossMulti.h

@@ -0,0 +1,72 @@
+#pragma once
+#include <ATen/core/Tensor.h>
+#include <ATen/AccumulateType.h>
+#include <ATen/Dispatch.h>
+#include <ATen/TensorUtils.h>
+
+namespace at { namespace native {
+namespace {
+  static C10_UNUSED void multilabel_margin_loss_shape_check(
+    int64_t& nframe,
+    int64_t& dim,
+    const int64_t& ndims,
+    TensorArg& target_arg,
+    const Tensor& input,
+    const Tensor& target) {
+    bool valid_inputs = (ndims == 2 && input.size(1) != 0) || (ndims == 1 && input.size(0) != 0) || ndims == 0;
+    TORCH_CHECK(
+                valid_inputs,
+                "Expected non-empty vector or matrix with optional 0-dim batch size, but got: ",
+                input.sizes());
+
+    if (ndims <= 1) {
+      nframe = 1;
+      dim = ndims == 0 ? 1 : input.size(0);
+      TORCH_CHECK(
+                  valid_inputs && target.dim() <= 1 && target.numel() == dim,
+                  "inconsistent size ",
+                  target.sizes(),
+                  " for ",
+                  target_arg);
+    } else {
+      nframe = input.size(0);
+      dim = input.size(1);
+      TORCH_CHECK(
+                  valid_inputs && target.dim() == 2 && target.size(0) == nframe &&
+                  target.size(1) == dim,
+                  "inconsistent size ",
+                  target.sizes(),
+                  " for ",
+                  target_arg);
+    }
+  }
+
+  static C10_UNUSED void multi_margin_loss_shape_check(
+    int64_t& nframe,
+    int64_t& dim,
+    const int64_t& ndims,
+    TensorArg& target_arg,
+    const Tensor& input,
+    const Tensor& target) {
+    bool valid_inputs = (ndims == 2 && input.size(1) != 0) || (ndims == 1 && input.size(0) != 0) || ndims == 0;
+    if (ndims <= 1) {
+      nframe = 1;
+      dim = ndims == 0 ? 1 : input.size(0);
+    } else {
+      nframe = input.size(0);
+      dim = input.size(1);
+    }
+
+    TORCH_CHECK(
+                valid_inputs,
+                "Expected non-empty vector or matrix with optional 0-dim batch size, but got: ",
+                input.sizes());
+    TORCH_CHECK(
+                valid_inputs && target.dim() <= 1 && target.numel() == nframe,
+                "inconsistent target size, got: ",
+                target.sizes());
+  }
+
+
+}  // anonymous namespace
+}} // namespace at::native

wemm/lib/python3.10/site-packages/torch/include/ATen/native/MathBitFallThroughLists.h

@@ -0,0 +1,71 @@
+#pragma once
+
+namespace at {
+// views and their in-place version ops
+#define TORCH_VIEW_FNS(m) \
+  m.impl("as_strided_", torch::CppFunction::makeFallthrough()); \
+  m.impl("detach", torch::CppFunction::makeFallthrough()); \
+  m.impl("detach_", torch::CppFunction::makeFallthrough()); \
+  m.impl("diagonal", torch::CppFunction::makeFallthrough()); \
+  m.impl("expand", torch::CppFunction::makeFallthrough()); \
+  m.impl("expand_as", torch::CppFunction::makeFallthrough()); \
+  m.impl("movedim.int", torch::CppFunction::makeFallthrough()); \
+  m.impl("movedim.intlist", torch::CppFunction::makeFallthrough()); \
+  m.impl("narrow", torch::CppFunction::makeFallthrough()); \
+  m.impl("permute", torch::CppFunction::makeFallthrough()); \
+  m.impl("select.Dimname", torch::CppFunction::makeFallthrough()); \
+  m.impl("select.int", torch::CppFunction::makeFallthrough()); \
+  m.impl("squeeze", torch::CppFunction::makeFallthrough()); \
+  m.impl("squeeze_", torch::CppFunction::makeFallthrough()); \
+  m.impl("transpose.int", torch::CppFunction::makeFallthrough()); \
+  m.impl("transpose.Dimname", torch::CppFunction::makeFallthrough()); \
+  m.impl("transpose_", torch::CppFunction::makeFallthrough()); \
+  m.impl("t", torch::CppFunction::makeFallthrough()); \
+  m.impl("t_", torch::CppFunction::makeFallthrough()); \
+  m.impl("real", torch::CppFunction::makeFallthrough()); \
+  m.impl("imag", torch::CppFunction::makeFallthrough()); \
+  m.impl("view_as_real", torch::CppFunction::makeFallthrough()); \
+  m.impl("unflatten.int", torch::CppFunction::makeFallthrough()); \
+  m.impl("unflatten.Dimname", torch::CppFunction::makeFallthrough()); \
+  m.impl("unfold", torch::CppFunction::makeFallthrough()); \
+  m.impl("unsqueeze", torch::CppFunction::makeFallthrough()); \
+  m.impl("unsqueeze_", torch::CppFunction::makeFallthrough()); \
+  m.impl("view_as", torch::CppFunction::makeFallthrough()); \
+  m.impl("unbind.int", torch::CppFunction::makeFallthrough()); \
+  m.impl("unbind.Dimname", torch::CppFunction::makeFallthrough()); \
+  m.impl("split.Tensor", torch::CppFunction::makeFallthrough()); \
+  m.impl("split_with_sizes", torch::CppFunction::makeFallthrough()); \
+  m.impl("swapaxes", torch::CppFunction::makeFallthrough()); \
+  m.impl("swapdims", torch::CppFunction::makeFallthrough()); \
+  m.impl("chunk", torch::CppFunction::makeFallthrough()); \
+  m.impl("reshape", torch::CppFunction::makeFallthrough()); \
+  m.impl("alias", torch::CppFunction::makeFallthrough()); \
+  m.impl("hsplit.int", torch::CppFunction::makeFallthrough()); \
+  m.impl("hsplit.array", torch::CppFunction::makeFallthrough()); \
+  m.impl("dsplit.int", torch::CppFunction::makeFallthrough()); \
+  m.impl("dsplit.array", torch::CppFunction::makeFallthrough()); \
+  m.impl("vsplit.int", torch::CppFunction::makeFallthrough()); \
+  m.impl("vsplit.array", torch::CppFunction::makeFallthrough()); \
+  m.impl("conj", torch::CppFunction::makeFallthrough()); \
+  m.impl("_conj", torch::CppFunction::makeFallthrough()); \
+  m.impl("_unsafe_view", torch::CppFunction::makeFallthrough()); \
+  m.impl("resize_", torch::CppFunction::makeFallthrough());
+
+#define TENSOR_UTILITIES_AND_CONSTRUCTORS(m) \
+  m.impl("empty_like", torch::CppFunction::makeFallthrough()); \
+  m.impl("empty.memory_format", torch::CppFunction::makeFallthrough()); \
+  m.impl("empty.out", torch::CppFunction::makeFallthrough()); \
+  m.impl("empty_strided", torch::CppFunction::makeFallthrough()); \
+  m.impl("full_like", torch::CppFunction::makeFallthrough()); \
+  m.impl("stride.int", torch::CppFunction::makeFallthrough()); \
+  m.impl("stride.Dimname", torch::CppFunction::makeFallthrough()); \
+  m.impl("size.int", torch::CppFunction::makeFallthrough()); \
+  m.impl("size.Dimname", torch::CppFunction::makeFallthrough()); \
+  m.impl("is_complex", torch::CppFunction::makeFallthrough()); \
+  m.impl("is_floating_point", torch::CppFunction::makeFallthrough()); \
+  m.impl("requires_grad_", torch::CppFunction::makeFallthrough());
+}
+
+#define TORCH_VIEW_FNS_NATIVE_FN_REGISTRATION(m) \
+  m.impl("as_strided", torch::CppFunction::makeFallthrough()); \
+  m.impl("view", torch::CppFunction::makeFallthrough());

wemm/lib/python3.10/site-packages/torch/include/ATen/native/MaxPooling.h

@@ -0,0 +1,44 @@
+#pragma once
+
+#include <ATen/core/Tensor.h>
+#include <ATen/Parallel.h>
+#include <ATen/native/DispatchStub.h>
+
+namespace at {
+namespace native {
+
+// TODO(Heitor) Template by dimension
+struct PoolingParams1D {
+  int64_t NB; // Number of batches
+  int64_t NC; // Number of channels
+  int64_t IW; // Input width
+  int64_t OW; // Output width
+  int64_t KW; // Kernel width
+  int64_t SJ; // Column stride
+  int64_t PJ; // Column padding
+  int64_t DJ; // Column dilation
+
+  // Return index of input element for the given kernel and output index
+  inline int64_t index(int64_t kj, int64_t oj) const {
+    return oj * SJ + kj * DJ - PJ;
+  }
+
+  // Return index of first output within bounds for this kernel index
+  inline int64_t valid_output_start(int64_t kj) const {
+    int64_t ij = index(kj, 0);;
+    return ij < 0 ? at::divup(-ij, SJ) : 0;
+  }
+
+  // Return index one past last output within bounds for this kernel index
+  inline int64_t valid_output_end(int64_t kj) const {
+    int64_t ij = index(kj, OW - 1);
+    return ij >= IW ? OW - at::divup(ij - (IW - 1), SJ) : OW;
+  }
+};
+
+using pooling_fn = void (*)(Tensor&, const Tensor&, const PoolingParams1D&);
+
+DECLARE_DISPATCH(pooling_fn, max_pool1d_stub);
+
+} // namespace native
+} // namespace at

wemm/lib/python3.10/site-packages/torch/include/ATen/native/NonEmptyUtils.h

@@ -0,0 +1,27 @@
+#include <ATen/core/TensorBase.h>
+#include <algorithm>
+#include <vector>
+
+namespace at { namespace native {
+
+inline int64_t ensure_nonempty_dim(int64_t dim) {
+  return std::max<int64_t>(dim, 1);
+}
+
+inline int64_t ensure_nonempty_size(const TensorBase &t, int64_t dim) {
+  return t.dim() == 0 ? 1 : t.size(dim);
+}
+
+inline int64_t ensure_nonempty_stride(const TensorBase &t, int64_t dim) {
+  return t.dim() == 0 ? 1 : t.stride(dim);
+}
+
+using IdxVec = std::vector<int64_t>;
+inline IdxVec ensure_nonempty_vec(IdxVec vec) {
+  if (vec.empty()) {
+    vec.push_back(1);
+  }
+  return vec;
+}
+
+}}  // namespace at::native

wemm/lib/python3.10/site-packages/torch/include/ATen/native/Normalization.h

@@ -0,0 +1,12 @@
+#pragma once
+
+#include <ATen/TensorIterator.h>
+#include <ATen/native/DispatchStub.h>
+
+namespace at {
+namespace native {
+
+using renorm_scale_factor_fn = void (*) (TensorIteratorBase& iter, double maxnorm);
+DECLARE_DISPATCH(renorm_scale_factor_fn, renorm_scale_factor_stub);
+
+}}  // namespace at::native

wemm/lib/python3.10/site-packages/torch/include/ATen/native/PointwiseOps.h

@@ -0,0 +1,28 @@
+// Ternary and higher-order pointwise operations
+#pragma once
+
+#include <ATen/native/DispatchStub.h>
+
+namespace c10 {
+class Scalar;
+}
+
+namespace at {
+
+struct TensorIterator;
+struct TensorIteratorBase;
+
+namespace native {
+
+using pointwise_fn = void (*)(TensorIterator&, const Scalar& scalar);
+using structured_pointwise_fn = void (*)(TensorIteratorBase&, const Scalar& scalar);
+using pointwise_fn_double = void (*)(TensorIterator&, const Scalar&, double);
+
+DECLARE_DISPATCH(structured_pointwise_fn, addcmul_stub);
+DECLARE_DISPATCH(structured_pointwise_fn, addcdiv_stub);
+DECLARE_DISPATCH(pointwise_fn_double, smooth_l1_backward_stub);
+DECLARE_DISPATCH(pointwise_fn_double, huber_backward_stub);
+DECLARE_DISPATCH(pointwise_fn, mse_backward_stub);
+
+} // namespace native
+} // namespace at

wemm/lib/python3.10/site-packages/torch/include/ATen/native/Pool.h

@@ -0,0 +1,336 @@
+#include <ATen/core/Tensor.h>
+#include <ATen/div_rtn.h>
+#include <ATen/TensorUtils.h>
+#include <ATen/native/DispatchStub.h>
+#include <c10/util/irange.h>
+
+#include <utility>
+
+#pragma once
+
+namespace at {
+namespace native {
+
+using max_pool2d_fn = void(*)(const Tensor& output, const Tensor& indices, const Tensor& input,
+    int kW, int kH, int dW, int dH, int padW, int padH, int dilationW, int dilationH);
+using max_pool2d_backward_fn = void(*)(const Tensor& grad_input, const Tensor& grad_output, const Tensor& indices);
+
+DECLARE_DISPATCH(max_pool2d_fn, max_pool2d_kernel);
+DECLARE_DISPATCH(max_pool2d_backward_fn, max_pool2d_backward_kernel);
+
+// averge pooling has same signature for forward and backward
+using avg_pool2d_fn = void(*)(const Tensor& output, const Tensor& input, int64_t kW, int64_t kH,
+    int64_t dW, int64_t dH, int64_t padW, int64_t padH, bool count_include_pad, c10::optional<int64_t> divisor_override);
+using avg_pool2d_backward_fn = void(*)(const Tensor& output, const Tensor& input, int kW, int kH,
+    int dW, int dH, int padW, int padH, bool count_include_pad, c10::optional<int64_t> divisor_override);
+
+DECLARE_DISPATCH(avg_pool2d_fn, avg_pool2d_kernel);
+DECLARE_DISPATCH(avg_pool2d_backward_fn, avg_pool2d_backward_kernel);
+
+namespace {
+
+template <typename dest_t, typename src_t>
+static inline dest_t
+safe_downcast(src_t v)
+{
+  TORCH_CHECK(std::numeric_limits<dest_t>::min() <= v && v <= std::numeric_limits<dest_t>::max(),
+              "integer out of range");
+
+  return static_cast<dest_t>(v);
+}
+
+template<typename T>
+static inline T pooling_output_shape_pad_lr(
+        T inputSize, T kernelSize, T pad_l, T pad_r, T stride, T dilation,
+        bool ceil_mode) {
+    T outputSize = div_rtn<T>(
+        inputSize + pad_l + pad_r - dilation * (kernelSize - 1) - 1 +
+        (ceil_mode ? stride - 1 : 0), stride) + 1;
+    if (ceil_mode) {
+        // ensure that the last pooling starts inside the image
+        // needed to avoid problems in ceil mode
+        if ((outputSize - 1) * stride >= inputSize + pad_l) {
+          --outputSize;
+        }
+    }
+    return outputSize;
+}
+
+template<typename T>
+static inline T pooling_output_shape(
+      T inputSize, T kernelSize, T pad, T stride, T dilation, bool ceil_mode) {
+    TORCH_CHECK(stride != 0, "stride should not be zero");
+    TORCH_CHECK(pad >= 0,
+                "pad must be non-negative, but got pad: ", pad);
+    TORCH_CHECK(pad <= kernelSize / 2,
+                "pad should be at most half of kernel size, but got pad=",
+                pad, " and kernel_size=", kernelSize)
+    return pooling_output_shape_pad_lr(
+        inputSize, kernelSize, pad, pad, stride, dilation, ceil_mode);
+}
+
+template <typename T>
+std::pair<T, T> _pooling_same_mode_padding_lr(
+    T inputSize, T kernelSize, int64_t stride, int64_t dilation) {
+  // NOTE: with strides, the output shape is ceil(inputSize/stride)
+  auto total_padding = T(dilation) * (kernelSize - 1);
+
+  // Prefer symmetric padding if possible
+  if (stride > 2 && (total_padding % 2 == 1)) {
+    // The floor in the output size calculation gives us a little wiggle room
+    auto wiggle_room = inputSize % stride - 1;
+    if (wiggle_room > 0) {
+      total_padding = total_padding - 1;
+    }
+  }
+
+  auto left = total_padding / 2;
+  return {left, total_padding - left};
+}
+
+inline std::pair<int64_t, int64_t> pooling_same_mode_padding_lr(
+    int64_t inputSize, int64_t kernelSize, int64_t stride, int64_t dilation) {
+  return _pooling_same_mode_padding_lr(inputSize, kernelSize, stride, dilation);
+}
+
+inline std::pair<c10::SymInt, c10::SymInt> pooling_same_mode_padding_lr(
+    c10::SymInt inputSize, c10::SymInt kernelSize, int64_t stride, int64_t dilation) {
+  return _pooling_same_mode_padding_lr(std::move(inputSize), std::move(kernelSize), stride, dilation);
+}
+
+// AveragePool2d/DilatedMaxPool2d (forward)
+static inline void
+pool2d_shape_check(
+  const Tensor& input,
+  int kH, int kW, int dH, int dW, int padH, int padW, int dilationH, int dilationW,
+  int64_t nInputPlane,
+  int64_t inputHeight, int64_t inputWidth,
+  int64_t outputHeight, int64_t outputWidth, MemoryFormat memory_format)
+{
+  const int64_t ndim = input.ndimension();
+  const int64_t nOutputPlane = nInputPlane;
+
+  TORCH_CHECK(kW > 0 && kH > 0,
+              "kernel size should be greater than zero, but got ",
+              "kH: ", kH, " kW: ", kW);
+  TORCH_CHECK(dW > 0 && dH > 0,
+              "stride should be greater than zero, but got "
+              "dH: ", dH, " dW: ", dW);
+  TORCH_CHECK(dilationH > 0 && dilationW > 0,
+              "dilation should be greater than zero, but got ",
+              "dilationH: ", dilationH, " dilationW: ", dilationW);
+
+  bool valid_dims = input.size(1) != 0 && input.size(2) != 0;
+  if (memory_format == at::MemoryFormat::ChannelsLast){
+    // Expect tensor in NHWC format and allow 0-dim only for N.
+    TORCH_CHECK((ndim == 4 && valid_dims && input.size(3) != 0),
+      "Expected 4D (batch mode) tensor expected for input with channels_last layout"
+      " with optional 0 dim batch size for input, but got: ", input.sizes());
+  } else {
+    TORCH_CHECK((ndim == 3 && input.size(0) != 0 && valid_dims) ||
+      (ndim == 4 && valid_dims && input.size(3) != 0),
+      "Expected 3D or 4D (batch mode) tensor with optional 0 dim batch size for input, but got:",
+      input.sizes());
+  }
+
+  TORCH_CHECK(kW/2 >= padW && kH/2 >= padH,
+              "pad should be smaller than or equal to half of kernel size, but got ",
+              "padW = ", padW, ", padH = ", padH, ", kW = ", kW, ", kH = ", kH);
+
+  TORCH_CHECK(outputWidth >= 1 && outputHeight >= 1,
+              "Given input size: (",
+              nInputPlane, "x", inputHeight, "x", inputWidth, "). ",
+              "Calculated output size: (",
+              nOutputPlane, "x", outputHeight, "x", outputWidth, "). ",
+              "Output size is too small");
+}
+
+// DilatedMaxPool2d (backward)
+static inline void
+max_pool2d_backward_shape_check(
+  const Tensor& input,
+  const Tensor& gradOutput,
+  const Tensor& indices,
+  int kH, int kW, int dH, int dW, int padH, int padW, int dilationH, int dilationW,
+  int64_t nInputPlane,
+  int64_t inputHeight, int64_t inputWidth,
+  int64_t outputHeight, int64_t outputWidth, MemoryFormat memory_format)
+{
+  pool2d_shape_check(
+    input,
+    kH, kW, dH, dW, padH, padW, dilationH, dilationW,
+    nInputPlane, inputHeight, inputWidth, outputHeight, outputWidth, memory_format);
+
+  const int64_t ndim = input.ndimension();
+  const int64_t nOutputPlane = nInputPlane;
+
+  check_dim_size(gradOutput, ndim, ndim-3, nOutputPlane);
+  check_dim_size(gradOutput, ndim, ndim-2, outputHeight);
+  check_dim_size(gradOutput, ndim, ndim-1, outputWidth);
+
+  check_dim_size(indices, ndim, ndim-3, nOutputPlane);
+  check_dim_size(indices, ndim, ndim-2, outputHeight);
+  check_dim_size(indices, ndim, ndim-1, outputWidth);
+}
+
+// AveragePool2d (backward)
+static inline void
+avg_pool2d_backward_shape_check(
+  const Tensor& input,
+  const Tensor& gradOutput,
+  int64_t /*nbatch*/,
+  int kH, int kW, int dH, int dW, int padH, int padW,
+  int64_t nInputPlane,
+  int64_t inputHeight, int64_t inputWidth,
+  int64_t outputHeight, int64_t outputWidth,
+  MemoryFormat memory_format)
+{
+  pool2d_shape_check(
+    input,
+    kH, kW, dH, dW, padH, padW, 1, 1,
+    nInputPlane, inputHeight, inputWidth, outputHeight, outputWidth,
+    memory_format);
+
+  const int64_t ndim = input.ndimension();
+  const int64_t nOutputPlane = nInputPlane;
+
+  check_dim_size(gradOutput, ndim, ndim-3, nOutputPlane);
+  check_dim_size(gradOutput, ndim, ndim-2, outputHeight);
+  check_dim_size(gradOutput, ndim, ndim-1, outputWidth);
+}
+
+// AveragePool3d/DilatedMaxPool3d (forward)
+static inline void
+pool3d_shape_check(
+  const Tensor& input,
+  int64_t nslices,
+  int kT, int kH, int kW,
+  int dT, int dH, int dW,
+  int pT, int pH, int pW,
+  int dilationT, int dilationH, int dilationW,
+  int64_t itime, int64_t iheight, int64_t iwidth,
+  int64_t otime, int64_t oheight, int64_t owidth,
+  const char *fn_name,
+  bool check_input_size=false)
+{
+  const int64_t ndim = input.ndimension();
+
+  TORCH_CHECK(kT > 0 && kW > 0 && kH > 0,
+              "kernel size should be greater than zero, but got ",
+              "kT: ", kT, " kH: ", kH, " kW: ", kW);
+  TORCH_CHECK(dT > 0 && dW > 0 && dH > 0,
+              "stride should be greater than zero, but got ",
+              "dT: ", dT, " dH: ", dH, " dW: ", dW);
+  TORCH_CHECK(dilationT > 0 && dilationW > 0 && dilationH > 0,
+              "dilation should be greater than zero, but got ",
+              "dilationT: ", dilationT, " dilationH: ", dilationH, " dilationW: ", dilationW);
+
+  TORCH_CHECK(ndim == 4 || ndim == 5,
+              fn_name, ": Expected 4D or 5D tensor for input, but got: ", input.sizes());
+
+  for (const auto i : c10::irange(ndim)) {
+    if (ndim == 5 && i == 0) {
+      // size of batch-dim can be 0.
+      continue;
+    }
+    TORCH_CHECK(
+        input.size(i) > 0,
+        fn_name,
+        ": Expected input's non-batch dimensions to have positive length,"
+        " but input has a shape of ",
+        input.sizes(),
+        " and non-batch dimension ",
+        input.size(i),
+        " has length zero!")
+  }
+
+  if (check_input_size) { // AveragePool3d
+    TORCH_CHECK(itime >= kT && iheight >= kH && iwidth >= kW,
+                "input image ", "(T: ", itime, " H: ", iheight, " W: ", iwidth, ") smaller than ",
+                "kernel size ", "(kT: ", kT, " kH: ", kH, " kW: ", kW, ")");
+  }
+
+  TORCH_CHECK(kT/2 >= pT && kW/2 >= pW && kH/2 >= pH,
+              "pad should be smaller than or equal to half of kernel size, but got "
+              "kT: ", kT, " kW: ", kW, " kH: ", kH, " padT: ", pT, " padW: ", pW, " padH: ", pH);
+
+  TORCH_CHECK(otime >= 1 && owidth >= 1 && oheight >= 1,
+              "Given input size: (",
+              nslices,"x", itime, "x", iheight, "x", iwidth, "). ",
+              "Calculated output size: (",
+              nslices, "x", otime, "x", oheight, "x", owidth, "). ",
+              "Output size is too small");
+}
+
+static inline void
+max_pool3d_backward_shape_check(
+  const Tensor& input,
+  const Tensor& gradOutput,
+  const Tensor& indices,
+  int64_t nslices,
+  int kT, int kH, int kW,
+  int dT, int dH, int dW,
+  int pT, int pH, int pW,
+  int dilationT, int dilationH, int dilationW,
+  int64_t itime, int64_t iheight, int64_t iwidth,
+  int64_t otime, int64_t oheight, int64_t owidth,
+  const char* fn_name)
+{
+  const int64_t ndim = input.ndimension();
+
+  pool3d_shape_check(
+    input,
+    nslices,
+    kT, kH, kW,
+    dT, dH, dW,
+    pT, pH, pW,
+    dilationT, dilationH, dilationW,
+    itime, iheight, iwidth,
+    otime, oheight, owidth, fn_name);
+
+  check_dim_size(gradOutput, ndim, ndim-4, nslices);
+  check_dim_size(gradOutput, ndim, ndim-3, otime);
+  check_dim_size(gradOutput, ndim, ndim-2, oheight);
+  check_dim_size(gradOutput, ndim, ndim-1, owidth);
+
+  check_dim_size(indices, ndim, ndim-4, nslices);
+  check_dim_size(indices, ndim, ndim-3, otime);
+  check_dim_size(indices, ndim, ndim-2, oheight);
+  check_dim_size(indices, ndim, ndim-1, owidth);
+}
+
+static inline void
+avg_pool3d_backward_shape_check(
+  const Tensor& input,
+  const Tensor& gradOutput,
+  int64_t nslices,
+  int kT, int kH, int kW,
+  int dT, int dH, int dW,
+  int pT, int pH, int pW,
+  int64_t itime, int64_t iheight, int64_t iwidth,
+  int64_t otime, int64_t oheight, int64_t owidth,
+  const char *fn_name)
+{
+  const int64_t ndim = input.ndimension();
+
+  pool3d_shape_check(
+    input,
+    nslices,
+    kT, kH, kW,
+    dT, dH, dW,
+    pT, pH, pW,
+    1, 1, 1,
+    itime, iheight, iwidth,
+    otime, oheight, owidth,
+    fn_name, true);
+
+  check_dim_size(gradOutput, ndim, ndim-4, nslices);
+  check_dim_size(gradOutput, ndim, ndim-3, otime);
+  check_dim_size(gradOutput, ndim, ndim-2, oheight);
+  check_dim_size(gradOutput, ndim, ndim-1, owidth);
+}
+
+} // namespace
+
+} // at::native
+} // at

wemm/lib/python3.10/site-packages/torch/include/ATen/native/Pow.h

@@ -0,0 +1,69 @@
+#pragma once
+
+#include <ATen/native/DispatchStub.h>
+
+namespace c10 {
+class Scalar;
+}
+
+namespace at {
+
+struct TensorIterator;
+struct TensorIteratorBase;
+
+namespace native {
+
+#if defined(__CUDACC__) || defined(__HIPCC__)
+#define HOST_DEVICE __host__ __device__
+#else
+#define HOST_DEVICE
+#endif
+
+// integral power in pytorch allows for negative exponents, giving truncated integral results.
+// e.g. since 2**-1==0.5, the truncated integral result is zero. 1**negative_exponent is the
+// only non-zero result.
+template <class T,
+  typename std::enable_if<std::is_integral<T>::value, T>::type* = nullptr>
+static inline HOST_DEVICE __ubsan_ignore_signed_int_overflow__ T powi_impl(T a, T b) {
+  T result = 1;
+  while (b) {
+    if (b & 1) {
+       result *= a;
+    }
+    b /= 2;
+    a *= a;
+  }
+  return result;
+}
+
+template <class T,
+  typename std::enable_if<std::is_integral<T>::value && !std::is_signed<T>::value, T>::type* = nullptr>
+static inline HOST_DEVICE T powi(T a, T b) {
+  return powi_impl(a, b);
+}
+
+template <class T,
+  typename std::enable_if<std::is_integral<T>::value && std::is_signed<T>::value, T>::type* = nullptr>
+static inline HOST_DEVICE T powi(T a, T b) {
+  if ( b < 0 ) {
+      if ( a == 1 ) {
+          return 1;
+      } else if ( a == -1 ) {
+          auto negative = (-b) % static_cast<T>(2);
+          return negative ? -1 : 1;
+      } else {
+          return 0;
+      }
+  }
+  return powi_impl(a, b);
+}
+
+using pow_tensor_tensor_fn = void (*)(TensorIteratorBase&);
+using pow_tensor_scalar_fn = void (*)(TensorIteratorBase&, const c10::Scalar&);
+
+DECLARE_DISPATCH(pow_tensor_tensor_fn, pow_tensor_tensor_stub);
+DECLARE_DISPATCH(pow_tensor_scalar_fn, pow_tensor_scalar_stub);
+
+} // namespace native
+
+} // namespace at

wemm/lib/python3.10/site-packages/torch/include/ATen/native/RNN.h

@@ -0,0 +1,53 @@
+#pragma once
+
+#include <ATen/core/Tensor.h>
+#include <ATen/native/DispatchStub.h>
+
+namespace at { namespace native {
+
+using lstm_fn = void(*)(Tensor&, Tensor&, Tensor&, const Tensor&, TensorList, TensorList, bool, int64_t, double, bool, bool, bool);
+using rnn_fn = void(*)(Tensor&, Tensor&, const Tensor&, const Tensor&, TensorList, bool, int64_t, double, bool, bool, bool);
+using lstm_packed_fn = void(*)(Tensor&, Tensor&, Tensor&, const Tensor&, const Tensor&, TensorList, TensorList, bool, int64_t, double, bool, bool);
+using rnn_packed_fn = void(*)(Tensor&, Tensor&, const Tensor&, const Tensor&, const Tensor&, TensorList, bool, int64_t, double, bool, bool);
+
+DECLARE_DISPATCH(lstm_fn, lstm_cudnn_stub);
+DECLARE_DISPATCH(lstm_fn, lstm_miopen_stub);
+DECLARE_DISPATCH(lstm_fn, lstm_mkldnn_stub);
+DECLARE_DISPATCH(rnn_fn, gru_cudnn_stub);
+DECLARE_DISPATCH(rnn_fn, gru_miopen_stub);
+DECLARE_DISPATCH(rnn_fn, rnn_tanh_cudnn_stub);
+DECLARE_DISPATCH(rnn_fn, rnn_tanh_miopen_stub);
+DECLARE_DISPATCH(rnn_fn, rnn_relu_cudnn_stub);
+DECLARE_DISPATCH(rnn_fn, rnn_relu_miopen_stub);
+DECLARE_DISPATCH(lstm_packed_fn, lstm_packed_cudnn_stub);
+DECLARE_DISPATCH(lstm_packed_fn, lstm_packed_miopen_stub);
+DECLARE_DISPATCH(rnn_packed_fn, gru_packed_cudnn_stub);
+DECLARE_DISPATCH(rnn_packed_fn, gru_packed_miopen_stub);
+DECLARE_DISPATCH(rnn_packed_fn, rnn_tanh_packed_cudnn_stub);
+DECLARE_DISPATCH(rnn_packed_fn, rnn_tanh_packed_miopen_stub);
+DECLARE_DISPATCH(rnn_packed_fn, rnn_relu_packed_cudnn_stub);
+DECLARE_DISPATCH(rnn_packed_fn, rnn_relu_packed_miopen_stub);
+
+inline void check_attributes(const Tensor& input, const TensorList& params, const TensorList& hiddens, bool check_dtype=false) {
+  auto input_device = input.device();
+  auto input_dtype = input.scalar_type();
+
+  auto check_tensors = [&](const std::string& name, const Tensor& t) {
+    if (!t.defined()) return;
+    auto t_device = t.device();
+    TORCH_CHECK(input_device == t_device,
+             "Input and ", name, " tensors are not at the same device, found input tensor at ",
+             input_device, " and ", name, " tensor at ", t_device);
+    if (check_dtype) {
+      auto t_dtype = t.scalar_type();
+      TORCH_CHECK(input_dtype == t_dtype,
+               "Input and ", name, " tensors are not the same dtype, found input tensor with ",
+               input_dtype, " and ", name, " tensor with ", t_dtype);
+    }
+  };
+
+  for (const auto& h : hiddens) check_tensors("hidden", h);
+  for (const auto& p : params) check_tensors("parameter", p);
+}
+
+}} // namespace at::native

wemm/lib/python3.10/site-packages/torch/include/ATen/native/ReduceAllOps.h

@@ -0,0 +1,16 @@
+#pragma once
+
+#include <ATen/native/DispatchStub.h>
+
+namespace at {
+class Tensor;
+}
+
+namespace at { namespace native {
+
+using reduce_all_fn = void (*)(Tensor & result, const Tensor & self);
+using reduce_min_max_fn = void (*)(Tensor & max_result, Tensor & min_result, const Tensor & self);
+DECLARE_DISPATCH(reduce_all_fn, min_all_stub);
+DECLARE_DISPATCH(reduce_all_fn, max_all_stub);
+
+}}

wemm/lib/python3.10/site-packages/torch/include/ATen/native/ReduceOpsUtils.h

@@ -0,0 +1,447 @@
+#pragma once
+
+#include <limits>
+#include <ATen/core/Tensor.h>
+#include <ATen/native/Resize.h>
+#include <ATen/native/TensorIterator.h>
+#include <ATen/native/NonEmptyUtils.h>
+#include <ATen/WrapDimUtilsMulti.h>
+#include <c10/core/ScalarType.h>
+#include <c10/util/irange.h>
+
+#ifndef AT_PER_OPERATOR_HEADERS
+#include <ATen/Functions.h>
+#else
+#include <ATen/ops/empty.h>
+#include <ATen/ops/scalar_tensor.h>
+#endif
+
+namespace at { namespace native {
+
+// Maximum and minimum possible scalar values, including infinities
+template <typename scalar_t>
+constexpr scalar_t upper_bound() {
+  using lim = std::numeric_limits<scalar_t>;
+  return lim::has_infinity ? lim::infinity() : lim::max();
+}
+
+template <typename scalar_t>
+constexpr scalar_t lower_bound() {
+  using lim = std::numeric_limits<scalar_t>;
+  return lim::has_infinity ? -lim::infinity() : lim::lowest();
+}
+
+static inline Tensor restride_dim(
+  const Tensor& src, int64_t dim,
+  IntArrayRef replacement_shape
+) {
+  auto strides = ensure_nonempty_vec(src.strides().vec());
+  strides[dim] = 0;
+  return src.as_strided(replacement_shape, strides);
+}
+
+inline void _dimreduce_setup(const Tensor &result, const Tensor &self,
+                                int64_t dim) {
+  IntArrayRef self_sizes = self.sizes();
+  std::vector<int64_t> result_sizes;
+  result_sizes.insert(result_sizes.end(), self_sizes.begin(), self_sizes.end());
+  result_sizes[dim] = 1;
+  result.resize_(result_sizes);
+}
+
+inline bool _dimreduce_return_trivial(const Tensor &result, const Tensor &self,
+                                      const Scalar& ident, int64_t dim, bool keepdim) {
+  if (self.numel() == 1 && self.ndimension() == 0) {
+    result.resize_({});
+    result.fill_(self);
+    return true;
+  }
+  // Return identity
+  if (self.numel() == 0) {
+    _dimreduce_setup(result, self, dim);
+    result.fill_(ident);
+    if (!keepdim) result.squeeze_(dim);
+    return true;
+  }
+  return false;
+}
+
+inline bool _dimreduce_return_trivial_no_ident(Tensor &result, const Tensor &self,
+                                               int64_t /*dim*/, bool /*keepdim*/, const char* /*fn_name*/) {
+  if (self.numel() == 1 && self.ndimension() == 0) {
+    result.resize_({});
+    result.fill_(self);
+    return true;
+  }
+
+  return false;
+}
+
+inline c10::optional<Tensor> _allreduce_return_trivial(
+    const Tensor& self,
+    const Scalar& ident) {
+  // Return identity
+  if (self.numel() == 0) {
+    return at::scalar_tensor(ident, self.options());
+  }
+  return c10::nullopt;
+}
+
+#define OPTION_TYPE_EQUALITY_CHECK(option, out, self) \
+{ \
+  TORCH_CHECK(\
+    out.option() == self.option(),\
+    "expected ", #option, " ",\
+    self.option(),\
+    " but found ", out.option())\
+}
+
+static inline void check_scalar_type_device_layout_equal(const Tensor& out, const Tensor& self) {
+  OPTION_TYPE_EQUALITY_CHECK(scalar_type, out, self);
+  OPTION_TYPE_EQUALITY_CHECK(device, out.options(), self.options());
+  OPTION_TYPE_EQUALITY_CHECK(layout, out.options(), self.options());
+}
+
+static inline Tensor integer_upcast(const Tensor& self, c10::optional<ScalarType> dtype) {
+  ScalarType scalarType = self.scalar_type();
+  ScalarType upcast_scalarType = dtype.value_or(at::isIntegralType(scalarType, /*includeBool=*/true) ? ScalarType::Long : scalarType);
+  return self.toType(upcast_scalarType);
+}
+
+using DimMask = TensorIterator::DimMask;
+
+static DimVector make_dim_vector(OptionalIntArrayRef opt_dims, int64_t ndim) {
+  if (opt_dims.has_value()) {
+    return DimVector(opt_dims.value());
+  } else {
+    std::vector<int64_t> all_dims(ndim);
+    std::iota(all_dims.begin(), all_dims.end(), 0);
+    return DimVector(all_dims);
+  }
+}
+
+static DimMask make_dim_mask(OptionalIntArrayRef opt_dims, int64_t ndim) {
+  DimMask mask;
+  if (opt_dims.has_value()) {
+    auto dims = opt_dims.value();
+    if (dims.empty()) {
+      mask = DimMask().flip();
+    } else {
+      mask = at::dim_list_to_bitset(dims, ndim);
+    }
+  } else {
+    mask = DimMask().flip();
+  }
+  return mask;
+}
+
+inline DimVector shape_from_dim_mask(const Tensor& self, DimMask mask, bool keepdim) {
+  auto shape = DimVector(self.sizes());
+  for (int dim = shape.size() - 1; dim >= 0; dim--) {
+    if (mask[dim]) {
+      if (keepdim) {
+        shape[dim] = 1;
+      } else {
+        shape.erase(shape.begin() + dim);
+      }
+    }
+  }
+  return shape;
+}
+
+static void resize_reduction_result(
+    Tensor& result, const Tensor& self, DimMask mask, bool keepdim,
+    ScalarType /*dtype*/)
+{
+  auto shape = shape_from_dim_mask(self, mask, keepdim);
+  TORCH_CHECK(result.defined(), "Cannot create a new tensor inside a reduction op. You likely tried to call an operator with an out argument but the out argument was an undefined tensor.");
+  at::native::resize_output(result, shape);
+}
+
+inline Tensor create_reduction_result(
+  const Tensor& self, at::OptionalIntArrayRef dim, bool keepdim, ScalarType dtype
+) {
+  DimMask mask = make_dim_mask(dim, self.dim());
+  auto shape = shape_from_dim_mask(self, mask, keepdim);
+  return at::empty(shape, self.options().dtype(dtype));
+}
+
+static Tensor review_reduce_result(const Tensor& result, int ndim, DimMask mask, bool keepdim) {
+  if (keepdim) {
+    return result;
+  }
+  auto shape = DimVector(result.sizes());
+  auto stride = DimVector(result.strides());
+  for (const auto dim : c10::irange(ndim)) {
+    if (mask[dim]) {
+      shape.insert(shape.begin() + dim, 1);
+      stride.insert(stride.begin() + dim, 0);
+    }
+  }
+  return result.as_strided(shape, stride);
+}
+
+static TensorIterator make_reduction(
+    const char* name, Tensor& result, const Tensor& self,
+    at::OptionalIntArrayRef dim_opt,
+    bool keepdim, ScalarType in_dtype, ScalarType out_dtype) {
+  // check that result type and dtype match if provided
+  TORCH_CHECK(
+      !result.defined() || result.scalar_type() == out_dtype,
+      name, ": provided dtype must match dtype of result. Got ",
+      toString(result.scalar_type()),
+      " and ",
+      toString(out_dtype),
+      ".");
+  // dim={} performs an all-reduce, same as dim=None
+  IntArrayRef dim = dim_opt.value_or(IntArrayRef{});
+  int64_t ndim = self.dim();
+  auto mask = make_dim_mask(dim, ndim);
+  resize_reduction_result(result, self, mask, keepdim, out_dtype);
+  auto viewed_result = review_reduce_result(result, ndim, mask, keepdim);
+  namedinference::propagate_names_for_reduction(result, self, dim, keepdim);
+  if (self.scalar_type() == in_dtype) {
+    return TensorIterator::reduce_op(viewed_result, self);
+  }
+  return TensorIterator::reduce_op(viewed_result, self.to(in_dtype));
+}
+
+static C10_UNUSED TensorIterator make_reduction(
+    const char* name, Tensor& result, const Tensor& self,
+    at::OptionalIntArrayRef dim, bool keepdim, ScalarType out_dtype) {
+  // special case for type promotion in mixed precision, improves computational
+  // efficiency.
+  // not generalize this to common mismatched input/output types to avoid cross
+  // product of templated kernel launches.
+  const bool gpu_lowp_to_f32 = (
+    self.is_cuda() && (self.scalar_type() == kHalf || self.scalar_type() == kBFloat16) && out_dtype == kFloat);
+  auto in_dtype = gpu_lowp_to_f32 ? self.scalar_type()
+                   : self.is_complex() ? c10::toComplexType(out_dtype)
+                                       : out_dtype;
+  return make_reduction(name, result, self, dim, keepdim, in_dtype, out_dtype);
+}
+
+static TensorIterator make_reduction(
+    const char* name, Tensor& result1, Tensor& result2, const Tensor& self,
+    at::OptionalIntArrayRef dim_opt, bool keepdim, ScalarType dtype1,
+    ScalarType dtype2) {
+  // check that result type and dtype match if provided
+  TORCH_CHECK(
+    (!result1.defined() || result1.scalar_type() == dtype1) && (!result2.defined() || result2.scalar_type() == dtype2),
+    name, ": provided dtype must match dtype of result. Got ",
+    toString(result1.scalar_type()), toString(result2.scalar_type()),
+    " and ",
+    toString(dtype1), toString(dtype2),
+    ".");
+
+  // dim={} performs an all-reduce, same as dim=None
+  auto dim = dim_opt.value_or(IntArrayRef{});
+  int64_t ndim = self.dim();
+  DimMask mask = make_dim_mask(dim, ndim);
+  resize_reduction_result(result1, self, mask, keepdim, dtype1);
+  auto viewed_result1 = review_reduce_result(result1, ndim, mask, keepdim);
+
+  resize_reduction_result(result2, self, mask, keepdim, dtype2);
+  auto viewed_result2 = review_reduce_result(result2, ndim, mask, keepdim);
+
+  namedinference::propagate_names_for_reduction(result1, self, dim, keepdim);
+  namedinference::propagate_names_for_reduction(result2, self, dim, keepdim);
+
+  // special case for type promotion in mixed precision, improves computational
+  // efficiency.
+  // We don't generalize this to common mismatched input/output types to avoid cross
+  // product of templated kernel launches.
+  if (self.scalar_type() == dtype1 ||
+      (self.is_cuda() && self.scalar_type() == kHalf && dtype1 == kFloat)) {
+    return TensorIterator::reduce_op(viewed_result1, viewed_result2, self);
+  }
+  return TensorIterator::reduce_op(viewed_result1, viewed_result2, self.to(dtype1));
+}
+
+static C10_UNUSED TensorIterator make_reduction(
+    const char* name, Tensor& result1, Tensor& result2, const Tensor& self,
+    at::OptionalIntArrayRef dim, bool keepdim, ScalarType dtype) {
+  return make_reduction(name, result1, result2, self, dim, keepdim, dtype, dtype);
+}
+
+static void zero_numel_check_dims(const Tensor& self, const int64_t dim, const char *fn_name) {
+  if (self.ndimension() == 0) {
+    TORCH_CHECK_INDEX(dim == 0 || dim == -1, fn_name,
+      ": Expected reduction dim -1 or 0 for scalar but got ", dim);
+  }
+  else {
+    TORCH_CHECK_INDEX(self.size(dim) != 0, fn_name,
+      ": Expected reduction dim ", dim, " to have non-zero size.");
+  }
+}
+
+static void zero_numel_check_dims(const Tensor& self, const IntArrayRef dim, const char *fn_name) {
+  TORCH_CHECK(
+    !dim.empty(),
+      fn_name, ": Expected reduction dim to be specified for input.numel() == 0. ",
+        "Specify the reduction dim with the 'dim' argument.");
+  for (const int64_t d : dim) {
+    zero_numel_check_dims(self, d, fn_name);
+  }
+}
+
+static std::vector<int64_t> get_zero_numel_tensor_size(
+    const Tensor& self,
+    const int64_t dim,
+    const bool keepdim,
+    const char* fn_name) {
+  TORCH_INTERNAL_ASSERT(self.numel() == 0,  fn_name, ": Expected self.numel() == 0.");
+  zero_numel_check_dims(self, dim, fn_name);
+  std::vector<int64_t> sizes;
+  if (keepdim) {
+    sizes = self.sizes().vec();
+    sizes[dim] = 1;
+  }
+  else {
+    for (const auto d : c10::irange(self.dim())) {
+      if (d != dim) {
+        sizes.push_back(self.sizes()[d]);
+      }
+    }
+  }
+  return sizes;
+}
+
+// Resize the result tensor and indices when result.numel() == 0 depending on values of
+// dim and keepdim for returning tensors containing reduction results.
+// This function should be called when you are reducing a zero-numel tensor and want to
+// resize the output and return it. This function exists for resizing zero-numel
+// tensors when the size of the reduction dimension is non-zero.
+static C10_UNUSED void zero_numel_tensor_resize(Tensor& result, Tensor& result_indices,
+                                     const Tensor& self, const int64_t dim,
+                                     const bool keepdim, const char *fn_name) {
+  auto sizes = get_zero_numel_tensor_size(self, dim, keepdim, fn_name);
+  at::native::resize_output(result, sizes);
+  at::native::resize_output(result_indices, sizes);
+}
+
+inline ScalarType get_dtype_from_self(
+    const Tensor& self,
+    const c10::optional<ScalarType>& dtype,
+    bool promote_integers) {
+  if (dtype.has_value()) {
+    return dtype.value();
+  }
+  ScalarType src_type = self.scalar_type();
+  if (promote_integers && at::isIntegralType(src_type, /*includeBool=*/true)) {
+    return kLong;
+  }
+  return src_type;
+}
+
+inline ScalarType get_dtype_from_result(Tensor& result, c10::optional<ScalarType> dtype) {
+  TORCH_CHECK(result.defined(), "Cannot create a new tensor inside a reduction op. You likely tried to call an operator with an out argument but the out argument was an undefined tensor.");
+  if (dtype.has_value()) {
+    return dtype.value();
+  } else {
+    return result.scalar_type();
+  }
+}
+
+
+} // native
+
+namespace meta {
+
+static C10_UNUSED DimVector get_reduction_shape(
+    const Tensor& self,
+    IntArrayRef dims,
+    bool keepdim) {
+  auto mask = native::make_dim_mask(dims, self.dim());
+  return native::shape_from_dim_mask(self, mask, keepdim);
+}
+
+static void resize_reduction(
+    impl::MetaBase& meta,
+    const Tensor& self,
+    OptionalIntArrayRef opt_dims,
+    bool keepdim,
+    ScalarType out_dtype) {
+  DimVector dims_ = at::native::make_dim_vector(opt_dims, self.dim());
+  maybe_wrap_dims(dims_, self.dim());
+  auto shape = get_reduction_shape(self, dims_, keepdim);
+  meta.set_output_raw_strided(0, shape, {}, self.options().dtype(out_dtype));
+  namedinference::propagate_names_for_reduction(
+      meta.maybe_get_output(), self, dims_, keepdim);
+}
+
+static void resize_reduction_with_indices(
+    impl::MetaBase& meta,
+    const Tensor& self,
+    IntArrayRef dims,
+    bool keepdim,
+    ScalarType out_dtype) {
+  DimVector dims_(dims);
+  maybe_wrap_dims(dims_, self.dim());
+  auto shape = get_reduction_shape(self, dims_, keepdim);
+  meta.set_output_raw_strided(0, shape, {}, self.options().dtype(out_dtype));
+  meta.set_output_raw_strided(1, shape, {}, self.options().dtype(kLong));
+  namedinference::propagate_names_for_reduction(
+      meta.maybe_get_output(0), self, dims_, keepdim);
+  namedinference::propagate_names_for_reduction(
+      meta.maybe_get_output(1), self, dims_, keepdim);
+}
+
+static TensorIterator make_reduction(
+    const Tensor& self,
+    const Tensor& result,
+    OptionalIntArrayRef opt_dims,
+    bool keepdim,
+    ScalarType in_dtype) {
+  int64_t ndim = self.dim();
+  auto mask = at::native::make_dim_mask(opt_dims, ndim);
+  auto viewed_result =
+      at::native::review_reduce_result(result, ndim, mask, keepdim);
+  if (self.scalar_type() == in_dtype) {
+    return TensorIterator::reduce_op(viewed_result, self);
+  }
+  return TensorIterator::reduce_op(viewed_result, self.to(in_dtype));
+}
+
+static TensorIterator make_reduction(
+    const Tensor& self,
+    const Tensor& result1,
+    const Tensor& result2,
+    IntArrayRef dims,
+    bool keepdim,
+    ScalarType dtype1,
+    ScalarType /*dtype2*/) {
+  int64_t ndim = self.dim();
+  auto mask = at::native::make_dim_mask(dims, ndim);
+  auto viewed_result1 = at::native::review_reduce_result(result1, ndim, mask, keepdim);
+  auto viewed_result2 = at::native::review_reduce_result(result2, ndim, mask, keepdim);
+  // special case for type promotion in mixed precision, improves computational efficiency.
+  // We don't generalize this to common mismatched input/output types to avoid cross product
+  // of templated kernel launches.
+  if (self.scalar_type() == dtype1 ||
+      (self.is_cuda() && self.scalar_type() == kHalf && dtype1 == kFloat)) {
+    return TensorIterator::reduce_op(viewed_result1, viewed_result2, self);
+  }
+  return TensorIterator::reduce_op(viewed_result1, viewed_result2, self.to(dtype1));
+}
+
+static C10_UNUSED TensorIterator make_reduction_from_out_ty(
+    const Tensor& self,
+    const Tensor& result,
+    OptionalIntArrayRef opt_dims,
+    bool keepdim,
+    ScalarType out_dtype) {
+  // special case for type promotion in mixed precision, improves computational
+  // efficiency.
+  // not generalize this to common mismatched input/output types to avoid cross
+  // product of templated kernel launches.
+  const bool gpu_lowp_to_f32 =
+      (self.is_cuda() &&
+       (self.scalar_type() == kHalf || self.scalar_type() == kBFloat16) &&
+       out_dtype == kFloat);
+  auto in_dtype = gpu_lowp_to_f32 ? self.scalar_type() : out_dtype;
+  return make_reduction(self, result, opt_dims, keepdim, in_dtype);
+}
+
+} // namespace meta
+} // namespace at