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

@@ -0,0 +1,98 @@
+#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::native {
+
+// These constants control the approximation behavior of gelu function.
+enum class 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.");
+  }
+}
+
+static std::string gelutype_to_string(const GeluType type) {
+  switch(type) {
+    case GeluType::None: return "none";
+    case GeluType::Tanh: return "tanh";
+    default: TORCH_CHECK(false, "unknown GELU type: ", static_cast<int>(type));
+  }
+}
+
+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 at::native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/CanUse32BitIndexMath.h

@@ -0,0 +1,13 @@
+#pragma once
+#include <c10/macros/Export.h>
+#include <limits>
+
+namespace at {
+class TensorBase;
+}
+
+namespace at::native {
+
+TORCH_API bool canUse32BitIndexMath(const at::TensorBase &t, int64_t max_elem=std::numeric_limits<int32_t>::max());
+
+}

env-llmeval/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::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;
+}
+
+inline 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

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

@@ -0,0 +1,446 @@
+#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::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,
+    SymIntArrayRef stride, SymIntArrayRef padding, SymIntArrayRef dilation,
+    bool transposed, SymIntArrayRef output_padding, c10::SymInt 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, ArrayRef<T> stride, ArrayRef<T> dilation = ArrayRef<T>()
+) {
+  // 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, SymIntArrayRef stride, SymIntArrayRef dilation = SymIntArrayRef()
+) {
+  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, ArrayRef<T> stride, ArrayRef<T> dilation, 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, SymIntArrayRef stride, SymIntArrayRef dilation, c10::SymInt 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;
+}
+
+// controls whether emptyCache will be called following cudnn conv benchmarking
+TORCH_API void _cudnn_set_conv_benchmark_empty_cache(bool enable);
+TORCH_API bool _cudnn_get_conv_benchmark_empty_cache();
+
+
+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;
+  }
+
+  bool can_use_miopen_channels_last_2d = false;
+#if defined(USE_ROCM) && (ROCM_VERSION >= 40300)
+  // TODO: Remove PYTORCH_MIOPEN_SUGGEST_NHWC once ROCm officially supports NHWC in MIOpen
+  // See #64427
+  static c10::optional<bool> PYTORCH_MIOPEN_SUGGEST_NHWC = c10::utils::check_env("PYTORCH_MIOPEN_SUGGEST_NHWC");
+
+  auto input_memory_format = input.suggest_memory_format();
+  auto weight_memory_format = weight.suggest_memory_format();
+
+  can_use_miopen_channels_last_2d = PYTORCH_MIOPEN_SUGGEST_NHWC &&  *PYTORCH_MIOPEN_SUGGEST_NHWC && (
+            ( (input_memory_format  == at::MemoryFormat::ChannelsLast) ||
+            (weight_memory_format == at::MemoryFormat::ChannelsLast) )
+        );
+#endif
+
+  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);
+
+  bool can_use_mkldnn_channels_last_3d =
+      (input_memory_format  == at::MemoryFormat::ChannelsLast3d) ||
+      (weight_memory_format == at::MemoryFormat::ChannelsLast3d);
+
+  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;
+}
+
+static inline bool xpu_conv_use_channels_last(const at::Tensor& input, const at::Tensor& weight) {
+
+  // check layout only for xpu tensor.
+  if (!input.is_xpu() || !weight.is_xpu()) {
+    return false;
+  }
+
+  // disable NHWC for float64 input.
+  if (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_xpu_channels_last_2d =
+      (input_memory_format  == at::MemoryFormat::ChannelsLast) ||
+      (weight_memory_format == at::MemoryFormat::ChannelsLast);
+
+  bool can_use_xpu_channels_last_3d =
+      (input_memory_format  == at::MemoryFormat::ChannelsLast3d) ||
+      (weight_memory_format == at::MemoryFormat::ChannelsLast3d);
+
+  return can_use_xpu_channels_last_2d || can_use_xpu_channels_last_3d;
+}
+
+} // namespace at::native

env-llmeval/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

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/ForeachUtils.h

@@ -0,0 +1,369 @@
+#pragma once
+
+#include <ATen/Device.h>
+#include <ATen/Dispatch.h>
+#include <ATen/ScalarType.h>
+#include <ATen/core/Tensor.h>
+#include <ATen/native/utils/ParamsHash.h>
+#include <c10/util/Exception.h>
+#include <c10/util/irange.h>
+
+#ifndef AT_PER_OPERATOR_HEADERS
+#include <ATen/NativeFunctions.h>
+#else
+#include <ATen/ops/result_type_native.h>
+#endif
+
+#include <unordered_map>
+#include <vector>
+
+namespace at::native {
+namespace {
+// Check if tensor list has either a boolean tensor or a integer tensor
+inline bool has_integral_tensor(TensorList tensors, const bool includeBool) {
+  return std::any_of(
+      tensors.begin(), tensors.end(), [&includeBool](const auto& t) {
+        return at::isIntegralType(t.scalar_type(), includeBool);
+      });
+}
+// check if tensor list has bool tensors
+inline bool has_bool_tensor(TensorList tensors) {
+  return std::any_of(tensors.begin(), tensors.end(), [](const auto& t) -> bool {
+    return t.scalar_type() == ScalarType::Bool;
+  });
+}
+
+// Check foreach API restrictions
+// - Tensor lists must be non-empty.
+// - All TensorLists and ScalarLists must have the same number of elements.
+// - Corresponding tensors must have the same size.
+inline void check_foreach_api_restrictions(TensorList tensors) {
+  TORCH_CHECK(!tensors.empty(), "Tensor list must have at least one tensor.");
+}
+
+inline void check_foreach_api_restrictions(
+    TensorList tensors,
+    ArrayRef<Scalar> scalars) {
+  check_foreach_api_restrictions(tensors);
+  TORCH_CHECK(
+      tensors.size() == scalars.size(),
+      "Tensor list must have same number of elements as scalar list.");
+}
+
+inline void check_foreach_api_restrictions(
+    TensorList tensors1,
+    TensorList tensors2) {
+  TORCH_CHECK(!tensors1.empty(), "Tensor list must have at least one tensor.");
+  TORCH_CHECK(!tensors2.empty(), "Tensor list must have at least one tensor.");
+  TORCH_CHECK(
+      tensors1.size() == tensors2.size(),
+      "Tensor lists must have the same number of tensors, got ",
+      tensors1.size(),
+      " and ",
+      tensors2.size());
+}
+
+inline void check_foreach_api_restrictions(
+    TensorList tensors1,
+    TensorList tensors2,
+    TensorList tensors3) {
+  TORCH_CHECK(!tensors1.empty(), "Tensor list must have at least one tensor.");
+  TORCH_CHECK(!tensors2.empty(), "Tensor list must have at least one tensor.");
+  TORCH_CHECK(!tensors3.empty(), "Tensor list must have at least one tensor.");
+  TORCH_CHECK(
+      tensors1.size() == tensors2.size(),
+      "Tensor lists must have the same number of tensors, got ",
+      tensors1.size(),
+      " and ",
+      tensors2.size());
+  TORCH_CHECK(
+      tensors1.size() == tensors3.size(),
+      "Tensor lists must have the same number of tensors, got ",
+      tensors1.size(),
+      " and ",
+      tensors3.size());
+}
+
+inline void check_foreach_api_restrictions(
+    TensorList tensors1,
+    TensorList tensors2,
+    TensorList tensors3,
+    ArrayRef<Scalar> scalars) {
+  check_foreach_api_restrictions(tensors1, tensors2, tensors3);
+  TORCH_CHECK(
+      tensors1.size() == scalars.size(),
+      "Tensor list must have same number of elements as scalar list, got ",
+      tensors1.size(),
+      " and ",
+      scalars.size());
+}
+
+// Helper function called in check_fast_path_restrictions to check whether all
+// corresponding tensors (aligning in index across the tensorLists) share the
+// same device and dtype.
+inline bool _check_tensors_share_device_and_dtype(
+    ArrayRef<TensorList> tensorLists) {
+  const auto expected_dtype = tensorLists[0][0].dtype();
+  const auto expected_device = tensorLists[0][0].device();
+
+  auto is_tensor_okay = [&](const Tensor& tensor) {
+    return tensor.dtype() == expected_dtype &&
+        tensor.device() == expected_device && tensor.layout() == at::kStrided &&
+        tensor.is_non_overlapping_and_dense();
+  };
+
+  for (const auto& tensorList : tensorLists) {
+    for (const auto& tensor : tensorList) {
+      if (!is_tensor_okay(tensor)) {
+        return false;
+      }
+    }
+  }
+
+  return true;
+}
+
+// Helper function called in check_fast_path_restrictions to check if
+// corresponding tensors in tensor lists have the same sizes and strides.
+inline bool _check_tensors_share_sizes_and_strides(
+    ArrayRef<TensorList> tensorLists) {
+  for (const auto i : c10::irange(1, tensorLists.size())) {
+    for (const auto j : c10::irange(tensorLists[0].size())) {
+      if (tensorLists[0][j].sizes() != tensorLists[i][j].sizes() ||
+          tensorLists[0][j].strides() != tensorLists[i][j].strides()) {
+        return false;
+      }
+    }
+  }
+
+  return true;
+}
+
+// Helper function called in check_fast_path_restrictions to check whether
+// all tensors type promote properly with the scalars in scalarList. This
+// function assumes that _check_tensors_share_device_and_dtype has already been
+// called so that all corresponding tensors in tensorLists have the same dtype.
+// Then, it is sufficient to check the type promotion with just one tensorList.
+inline bool _check_tensors_do_type_promotion_with_scalars(
+    TensorList tensorList,
+    ArrayRef<Scalar> scalarList = {},
+    bool does_op_promote_integer_inputs_to_float = false) {
+  for (const auto i : c10::irange(tensorList.size())) {
+    // For division, integer inputs will result in float.
+    if (does_op_promote_integer_inputs_to_float) {
+      if (at::isIntegralType(
+              tensorList[i].scalar_type(), /*includeBool*/ true)) {
+        return false;
+      }
+    }
+    if (!scalarList.empty()) {
+      const auto& scalar =
+          scalarList.size() == 1 ? scalarList[0] : scalarList[i];
+      const auto& tensor = tensorList[i];
+      // note(mkozuki): This check might be responsible for
+      // `_foreach_add(bool_tensors, bool_tensors)` being pushed to slow path.
+      if (tensor.scalar_type() != at::native::result_type(scalar, tensor)) {
+        return false;
+      }
+    }
+  }
+
+  return true;
+}
+
+// To go via 'fast' path, several conditions must be satisfied
+// - All tensors in all lists must have the same dtype.
+// - All tensors must be on the same device
+// - All tensors must have strided layout
+// - All tensors must be non-overlapping and dense
+// - Resulting tensor must have the same dtype as the input one
+
+// Please, make sure to call check_foreach_api_restrictions before calling this
+// method. There is a set of preconditions that have to be satisfied.
+inline bool check_fast_path_restrictions(
+    ArrayRef<TensorList> tensorLists,
+    ArrayRef<Scalar> scalarList = {},
+    bool does_op_promote_integer_inputs_to_float = false) {
+  return _check_tensors_share_device_and_dtype(tensorLists) &&
+      _check_tensors_share_sizes_and_strides(tensorLists) &&
+      _check_tensors_do_type_promotion_with_scalars(
+             tensorLists[0],
+             scalarList,
+             does_op_promote_integer_inputs_to_float);
+}
+
+inline std::vector<c10::Scalar> convert_tensor_to_scalar_list(
+    const Tensor& scalarList_,
+    int64_t expect_length) {
+  std::vector<c10::Scalar> scalarList;
+  TORCH_CHECK(
+      scalarList_.device() == c10::kCPU,
+      "Expected scalars to be on CPU, got ",
+      scalarList_.device(),
+      " instead.");
+  TORCH_CHECK(
+      scalarList_.is_contiguous(), "Expected scalars to be contiguous.");
+  TORCH_CHECK(
+      scalarList_.dim() == 1,
+      "Expected packed scalar Tensor to be of dimension 1. Got ",
+      scalarList_.dim(),
+      " instead.");
+  AT_DISPATCH_ALL_TYPES_AND_COMPLEX_AND4(
+      kComplexHalf,
+      kHalf,
+      kBool,
+      kBFloat16,
+      scalarList_.scalar_type(),
+      "convert_tensor_to_scalar_list",
+      [&]() {
+        const scalar_t* scalar_data = scalarList_.data_ptr<scalar_t>();
+        TORCH_CHECK(
+            (expect_length == scalarList_.size(0)),
+            "Expected length of scalars to match input of length ",
+            expect_length,
+            " but got ",
+            scalarList_.size(0),
+            " instead.");
+        for (int64_t i = 0; i < scalarList_.size(0); i++) {
+          scalarList.emplace_back(scalar_data[i]);
+        }
+      });
+  return scalarList;
+}
+
+inline bool can_use_fast_route(
+    ArrayRef<TensorList> tensorLists,
+    ArrayRef<Scalar> scalarList = {},
+    bool does_op_promote_integer_inputs_to_float = false) {
+  return check_fast_path_restrictions(
+      tensorLists, scalarList, does_op_promote_integer_inputs_to_float);
+}
+
+inline bool can_use_fast_route(
+    TensorList tensors1,
+    TensorList tensors2,
+    bool does_op_promote_integer_inputs_to_float = false) {
+  return can_use_fast_route(
+      {tensors1, tensors2}, {}, does_op_promote_integer_inputs_to_float);
+}
+
+using DeviceDtypeKey = std::pair<at::Device, at::ScalarType>;
+using IndicesT = std::vector<int>;
+using nested_optional_tensorvec_t =
+    std::vector<std::vector<c10::optional<at::Tensor>>>;
+using TensorsAndIndicesT = std::pair<nested_optional_tensorvec_t, IndicesT>;
+using FlatMap = std::unordered_map<
+    DeviceDtypeKey,
+    TensorsAndIndicesT,
+    ParamsHash<DeviceDtypeKey>>;
+
+inline FlatMap _group_tensors_by_first_tensors_device_and_dtype(
+    const nested_optional_tensorvec_t& nested_tensorlist,
+    const bool with_indices) {
+  FlatMap grouped_tensors_with_indices;
+
+  TORCH_CHECK(!nested_tensorlist.empty());
+  TORCH_CHECK(!nested_tensorlist[0].empty());
+  const auto num_lists = nested_tensorlist.size();
+  const auto num_tensors = nested_tensorlist[0].size();
+
+  TORCH_CHECK(std::all_of(
+      nested_tensorlist.cbegin(),
+      nested_tensorlist.cend(),
+      [&](const auto& tensorlist) -> bool {
+        // note(crcrpar): Allow empty tensorlists following
+        // ref:
+        // https://github.com/pytorch/pytorch/blob/85885301fd3c6adb8b9dc3cf7afadf6945566684/torch/utils/_foreach_utils.py#L21-L24
+        return tensorlist.size() == num_tensors || tensorlist.size() == 0;
+      }));
+
+  for (const auto& tensor_index : c10::irange(num_tensors)) {
+    const auto key = [&]() -> DeviceDtypeKey {
+      const auto t = nested_tensorlist[0][tensor_index];
+      TORCH_CHECK(
+          t.has_value(),
+          "Tensors of the first list of nested Tensor lists are supposed to be defined but ",
+          "the ",
+          tensor_index,
+          "-th Tensor is not.");
+      return {t->device(), t->scalar_type()};
+    }();
+    TORCH_CHECK(
+        std::all_of(
+            nested_tensorlist.cbegin(),
+            nested_tensorlist.cend(),
+            [&](const auto& tensorlist) -> bool {
+              if (tensorlist.size() == 0) {
+                return true;
+              }
+              const auto& tensor = tensorlist[tensor_index];
+              // note(crcrpar): Currently the scope of this function is
+              // optimizers so there could be `state_steps` and other scalars
+              // whose elements are float tensors no matter what the parameter's
+              // dtype is.
+              if (!tensor.has_value()) {
+                return true;
+              } else {
+                const auto s = tensor->scalar_type();
+                const auto d = tensor->device();
+                // Note: `step` or `state_step` is float32 by default.
+                if (key.first == d) {
+                  return key.second == s || s == at::ScalarType::Float;
+                } else if (d.is_cpu()) {
+                  // note(crcrpar): There are some test cases (e.g.
+                  // TestOptim::test_adam) where state_steps are on CPU and the
+                  // others are on CUDA. Currently a state_step Tensor has the
+                  // dtype of float.
+                  return s == at::ScalarType::Float;
+                } else {
+                  return false;
+                }
+              }
+            }),
+        "Tensors of the same index must be on the same device and the same dtype except `step` tensors that can be CPU and float32 notwithstanding");
+    if (!grouped_tensors_with_indices.count(key)) {
+      grouped_tensors_with_indices.insert(
+          {key,
+           TensorsAndIndicesT{
+               [&]() -> nested_optional_tensorvec_t {
+                 nested_optional_tensorvec_t nested_tensorvec;
+                 nested_tensorvec.reserve(num_lists);
+                 for (const auto& i : c10::irange(num_lists)) {
+                   std::vector<c10::optional<at::Tensor>> tensors;
+                   if (!nested_tensorlist[i].empty()) {
+                     // NB: num_tensors is the max possible length for any of
+                     // the inner lists of tensor references. Reserving the max
+                     // trades memory for perf. This should not have significant
+                     // impact.
+                     tensors.reserve(num_tensors);
+                   }
+                   nested_tensorvec.emplace_back(tensors);
+                 }
+                 return nested_tensorvec;
+               }(),
+               [&]() -> IndicesT {
+                 if (!with_indices) {
+                   return {};
+                 } else {
+                   IndicesT indices;
+                   indices.reserve(num_tensors);
+                   return indices;
+                 }
+               }()}});
+    }
+    for (const auto& list_index : c10::irange(num_lists)) {
+      if (!nested_tensorlist[list_index].empty()) {
+        grouped_tensors_with_indices[key].first[list_index].emplace_back(
+            nested_tensorlist[list_index][tensor_index]);
+      }
+    }
+    if (with_indices) {
+      grouped_tensors_with_indices[key].second.emplace_back(tensor_index);
+    }
+  }
+
+  return grouped_tensors_with_indices;
+}
+
+} // namespace
+} // namespace at::native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/IndexKernel.h

@@ -0,0 +1,41 @@
+#pragma once
+#include <ATen/native/DispatchStub.h>
+#include <c10/util/ArrayRef.h>
+
+namespace at {
+class Tensor;
+class TensorBase;
+struct TensorIterator;
+struct TensorIteratorBase;
+}
+
+namespace c10 {
+class Scalar;
+}
+
+namespace at::native {
+
+using index_fn = void(*)(TensorIteratorBase &, IntArrayRef indexed_sizes, IntArrayRef indexed_strides);
+using index_fill_fn = void(*)(TensorIterator & iter, int64_t dim, int64_t self_dim_size, int64_t self_dim_stride, const Scalar& source);
+using index_copy_fn = void(*)(TensorIterator & iter, int64_t dim, int64_t self_dim_size, int64_t self_dim_stride);
+using index_put_fn = void(*)(TensorIterator &, IntArrayRef indexed_sizes, IntArrayRef indexed_strides, bool accumulate);
+using put_fn = void(*)(TensorIterator & iter, const TensorBase& self, const bool accumulate);
+using take_fn = void(*)(TensorIterator & iter, const TensorBase& input);
+using flip_fn = void(*)(TensorIterator &, const bool);
+using masked_fill_fn = void(*)(TensorIterator &, const Scalar& scalar);
+using masked_select_fn = void(*)(TensorIterator &, int64_t orig_stride);
+using masked_scatter_fn = void(*)(TensorIterator &, const TensorBase &);
+
+DECLARE_DISPATCH(index_fn, index_stub);
+DECLARE_DISPATCH(index_fill_fn, index_fill_stub);
+DECLARE_DISPATCH(index_copy_fn, index_copy_stub);
+DECLARE_DISPATCH(index_put_fn, index_put_stub);
+DECLARE_DISPATCH(put_fn, put_stub);
+DECLARE_DISPATCH(take_fn, take_stub);
+DECLARE_DISPATCH(flip_fn, flip_stub);
+DECLARE_DISPATCH(masked_fill_fn, masked_fill_stub);
+DECLARE_DISPATCH(masked_select_fn, masked_select_serial_stub);
+DECLARE_DISPATCH(masked_select_fn, masked_select_stub);
+DECLARE_DISPATCH(masked_scatter_fn, masked_scatter_stub);
+
+} // namespace at::native

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

@@ -0,0 +1,46 @@
+#pragma once
+
+#include <ATen/native/DispatchStub.h>
+#include <ATen/OpMathType.h>
+#include <ATen/TensorIterator.h>
+#include <c10/core/Scalar.h>
+
+namespace at::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 at::native

env-llmeval/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::native {
+
+using addr_fn = void (*)(TensorIterator &, const Scalar& beta, const Scalar& alpha);
+DECLARE_DISPATCH(addr_fn, addr_stub);
+} // namespace at::native

env-llmeval/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::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.sym_size(-1) == self.sym_size(-2),
+              f_name,
+              ": ", arg_name, " must be batches of square matrices, "
+              "but they are ", self.sym_size(-2), " by ", self.sym_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 = SymIntArrayRef(input.sym_sizes().data(), input.dim() - 1); // input.shape[:-1]
+  bool vector_case = other.dim() == 1 || (input.dim() - 1 == other.dim() && other.sym_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

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

@@ -0,0 +1,11 @@
+#pragma once
+
+#include <ATen/TensorIterator.h>
+#include <ATen/native/DispatchStub.h>
+
+namespace at::native {
+
+using renorm_scale_factor_fn = void (*) (TensorIteratorBase& iter, double maxnorm);
+DECLARE_DISPATCH(renorm_scale_factor_fn, renorm_scale_factor_stub);
+
+}  // namespace at::native

env-llmeval/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::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

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/ReduceOps.h

@@ -0,0 +1,56 @@
+#pragma once
+
+#include <ATen/native/DispatchStub.h>
+#include <c10/util/ArrayRef.h>
+#include <c10/util/Optional.h>
+
+namespace c10 {
+class Scalar;
+}
+
+namespace at {
+struct TensorIterator;
+class Tensor;
+}
+
+namespace at::native {
+
+using reduce_fn = void(*)(TensorIterator &);
+
+DECLARE_DISPATCH(reduce_fn, sum_stub);
+DECLARE_DISPATCH(reduce_fn, nansum_stub);
+DECLARE_DISPATCH(reduce_fn, prod_stub);
+DECLARE_DISPATCH(reduce_fn, mean_stub);
+DECLARE_DISPATCH(reduce_fn, and_stub);
+DECLARE_DISPATCH(reduce_fn, or_stub);
+DECLARE_DISPATCH(reduce_fn, min_values_stub);
+DECLARE_DISPATCH(reduce_fn, max_values_stub);
+DECLARE_DISPATCH(reduce_fn, argmax_stub);
+DECLARE_DISPATCH(reduce_fn, argmin_stub);
+
+using reduce_std_var_function =
+    void (*)(TensorIterator&, double correction, bool take_sqrt);
+DECLARE_DISPATCH(reduce_std_var_function, std_var_stub);
+
+using reduce_norm_fn =
+    void (*)(Tensor&, const Tensor&, const c10::Scalar&, c10::optional<int64_t>);
+DECLARE_DISPATCH(reduce_norm_fn, norm_kernel);
+
+using reduce_fn_flag = void(*)(TensorIterator &, const c10::Scalar&);
+DECLARE_DISPATCH(reduce_fn_flag, norm_stub);
+
+using structured_cum_fn = void (*)(const Tensor&, const Tensor&, int64_t);
+using cum_fn = void (*)(Tensor&, const Tensor&, int64_t);
+DECLARE_DISPATCH(structured_cum_fn, cumsum_stub);
+DECLARE_DISPATCH(structured_cum_fn, cumprod_stub);
+DECLARE_DISPATCH(cum_fn, logcumsumexp_stub);
+
+DECLARE_DISPATCH(void (*)(const Tensor&, int64_t, bool, Tensor&, Tensor&), aminmax_stub);
+DECLARE_DISPATCH(void (*)(const Tensor&, Tensor&, Tensor&), aminmax_allreduce_stub);
+
+// Used in cuda/Normalization.cu
+TORCH_API std::tuple<Tensor&,Tensor&> var_mean_out(
+    Tensor &result1, Tensor &result2, const Tensor &self, IntArrayRef dim,
+    int64_t correction, bool keepdim);
+
+} // namespace at::native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/SharedReduceOps.h

@@ -0,0 +1,544 @@
+#pragma once
+// Please note that this file is
+// used across both CPU and GPU.
+
+#include <type_traits>
+#include <complex>
+#include <c10/macros/Macros.h>
+#include <ATen/detail/FunctionTraits.h>
+#include <ATen/NumericUtils.h>
+#if defined(__CUDACC__)
+#include <ATen/cuda/DeviceUtils.cuh>
+#include <ATen/native/cuda/DeviceSqrt.cuh>
+#elif defined(__HIPCC__)
+#include <ATen/hip/DeviceUtils.cuh>
+#include <ATen/native/hip/DeviceSqrt.cuh>
+#endif
+#if defined(__CUDACC__) || defined(__HIPCC__)
+#include <thrust/pair.h>
+#else
+#include <cmath>
+#define device_sqrt std::sqrt
+#endif
+#if defined(__CUDACC__) || defined(__HIPCC__)
+template <typename scalar_t>
+inline C10_DEVICE scalar_t max_propagate_nan(scalar_t a, scalar_t b) {
+#if defined(__HIPCC__)
+  // TODO: remove this special case for HIP when issue is fixed:
+  //       https://github.com/ROCm-Developer-Tools/HIP/issues/2209
+  scalar_t max = at::_isnan(a) ? a : (at::_isnan(b) ? b : std::max(a, b));
+#else
+  scalar_t max = at::_isnan(b) ? b : std::max(a, b);
+#endif
+  return max;
+}
+template <typename scalar_t>
+inline C10_DEVICE scalar_t min_propagate_nan(scalar_t a, scalar_t b) {
+#if defined(__HIPCC__)
+  // TODO: remove this special case for HIP when issue is fixed:
+  //       https://github.com/ROCm-Developer-Tools/HIP/issues/2209
+  scalar_t min = at::_isnan(a) ? a : (at::_isnan(b) ? b : std::min(a, b));
+#else
+  scalar_t min = at::_isnan(b) ? b : std::min(a, b);
+#endif
+  return min;
+}
+#define MAX(X, Y) max_propagate_nan(X,Y)
+#define MIN(X, Y) min_propagate_nan(X,Y)
+#else
+#include <ATen/native/cpu/zmath.h>
+#define MAX(X, Y) max_impl(X,Y)
+#define MIN(X, Y) min_impl(X,Y)
+#endif
+
+// ROCM hcc doesn't work well with using std:: in kernel functions
+#if defined(__CUDA_ARCH__)
+#include <c10/cuda/CUDAMathCompat.h>
+#define compat_pow c10::cuda::compat::pow
+#elif defined(__HIPCC__)
+#include <c10/hip/HIPMathCompat.h>
+#define compat_pow c10::hip::compat::pow
+#else
+#define compat_pow std::pow
+#endif
+
+namespace at { namespace native {
+
+namespace detail {
+
+#if defined(__CUDACC__) || defined(__HIPCC__)
+template <typename T1, typename T2> using pair = thrust::pair<T1, T2>;
+#else
+template <typename T1, typename T2> using pair = std::pair<T1, T2>;
+#endif
+
+} // namespace detail
+
+template <typename scalar_t, typename index_t>
+struct WelfordData {
+  scalar_t mean;
+  scalar_t m2;
+  index_t n;
+  scalar_t nf;
+
+  C10_HOST_DEVICE WelfordData() : mean(0), m2(0), n(0), nf(0) {}
+
+  C10_HOST_DEVICE WelfordData(
+      scalar_t mean,
+      scalar_t m2,
+      index_t n,
+      scalar_t nf)
+      : mean(mean), m2(m2), n(n), nf(nf) {}
+};
+
+
+template <typename scalar_t, typename acc_scalar_t, typename index_t, typename res_t>
+struct WelfordOps {
+  acc_scalar_t correction;
+  bool take_sqrt;
+ public:
+  using acc_t = WelfordData<acc_scalar_t, index_t>;
+  inline C10_DEVICE acc_t reduce(acc_t acc, scalar_t data, index_t /*idx*/) const {
+    // We accumulate n in index_t to avoid cumulative rounding error, but still
+    // need nf for use in combine where int32 may overflow.
+    index_t new_n = acc.n + 1;
+    acc_scalar_t new_nf = static_cast<acc_scalar_t>(new_n);
+    acc_scalar_t delta = data - acc.mean;
+    acc_scalar_t new_mean = acc.mean + delta / new_nf;
+    acc_scalar_t new_delta = data - new_mean;
+    return {
+      new_mean,
+      acc.m2 + delta * new_delta,
+      new_n,
+      new_nf,
+    };
+  }
+  inline C10_DEVICE acc_t combine(acc_t a, acc_t b) const {
+    if (a.nf == 0) {
+      return b;
+    }
+    if (b.nf == 0) {
+      return a;
+    }
+    acc_scalar_t delta = b.mean - a.mean;
+    acc_scalar_t new_count = a.nf + b.nf;
+    acc_scalar_t nb_over_n = b.nf / new_count;
+    return {
+      a.mean + delta * nb_over_n,
+      a.m2 + b.m2 + delta * delta * a.nf * nb_over_n,
+      // setting acc.n as -1 since acc.n might not be able to represent the count
+      // correctly within its range, setting it to -1 to avoid confusion
+      -1,
+      new_count
+    };
+  }
+  inline C10_DEVICE res_t project(acc_t acc) const __ubsan_ignore_float_divide_by_zero__ {
+    const auto mean = static_cast<scalar_t>(acc.mean);
+    const auto divisor = acc.nf > correction ? acc.nf - correction : 0;
+    const auto var = acc.m2 / divisor;
+    res_t results(take_sqrt ? device_sqrt(var) : var, mean);
+    return results;
+  }
+
+  static C10_DEVICE acc_t translate_idx(acc_t acc, int64_t /*base_idx*/) {
+    return acc;
+  }
+
+#if defined(__CUDACC__) || defined(__HIPCC__)
+  inline __device__ acc_t warp_shfl_down(acc_t acc, int offset) const {
+    return {
+      WARP_SHFL_DOWN(acc.mean, offset)
+      , WARP_SHFL_DOWN(acc.m2, offset)
+      , WARP_SHFL_DOWN(acc.n, offset)
+      , WARP_SHFL_DOWN(acc.nf, offset)
+    };
+  }
+#endif
+  C10_HOST_DEVICE WelfordOps(acc_scalar_t correction, bool take_sqrt)
+      : correction(correction), take_sqrt(take_sqrt) {}
+};
+
+template <typename scalar_t, typename acc_t=scalar_t, typename factor_t=acc_t, typename out_t = acc_t>
+struct MeanOps {
+  factor_t factor;
+
+  inline C10_DEVICE acc_t reduce(acc_t a, scalar_t b, int64_t /*idx*/) const {
+    return combine(a, static_cast<acc_t>(b));
+  }
+
+  inline C10_DEVICE acc_t combine(acc_t a, acc_t b) const {
+    return a + b;
+  }
+
+  inline C10_DEVICE out_t project(acc_t a) const {
+    return a * factor;
+  }
+
+  static C10_DEVICE acc_t translate_idx(acc_t acc, int64_t /*base_idx*/) {
+    return acc;
+  }
+
+#if defined(__CUDACC__) || defined(__HIPCC__)
+  inline C10_DEVICE acc_t warp_shfl_down(acc_t data, int offset) const {
+    return WARP_SHFL_DOWN(data, offset);
+  }
+#endif
+
+  MeanOps(factor_t factor): factor(factor) {
+  }
+};
+
+// This accumulator template is used to calculate the minimum absolute value of
+// a set of numbers.
+// `scalar_t` is the type of the input and `acc_t` is the type of the accumulated
+// value. These types differ for complex number input support.
+template <typename scalar_t, typename acc_t = scalar_t, typename out_t = acc_t>
+struct AbsMinOps {
+
+  inline C10_DEVICE acc_t reduce(acc_t acc, scalar_t data, int64_t /*idx*/) const {
+    return MIN(acc, static_cast<acc_t>(std::abs(data)));
+  }
+
+  inline C10_DEVICE acc_t combine(acc_t a, acc_t b) const {
+    return MIN(a, b);
+  }
+
+  inline C10_DEVICE out_t project(acc_t a) const {
+    return a;
+  }
+
+  static C10_DEVICE acc_t translate_idx(acc_t acc, int64_t /*base_idx*/) {
+    return acc;
+  }
+
+#if defined(__CUDACC__) || defined(__HIPCC__)
+  inline C10_DEVICE acc_t warp_shfl_down(acc_t acc, int offset) const {
+    return WARP_SHFL_DOWN(acc, offset);
+  }
+#endif
+};
+
+// This accumulator template is used to calculate the maximum absolute value of
+// a set of numbers.
+// `scalar_t` is the type of the input and `acc_t` is the type of the accumulated
+// value. These types differ for complex number input support.
+template <typename scalar_t, typename acc_t = scalar_t, typename out_t = acc_t>
+struct AbsMaxOps {
+  inline C10_DEVICE acc_t reduce(acc_t acc, scalar_t data, int64_t /*idx*/) const {
+    return MAX(acc, static_cast<acc_t>(std::abs(data)));
+  }
+
+  inline C10_DEVICE acc_t combine(acc_t a, acc_t b) const {
+    return MAX(a, b);
+  }
+
+  inline C10_DEVICE out_t project(acc_t a) const {
+    return a;
+  }
+
+  static C10_DEVICE acc_t translate_idx(acc_t acc, int64_t /*base_idx*/) {
+    return acc;
+  }
+
+#if defined(__CUDACC__) || defined(__HIPCC__)
+  inline C10_DEVICE acc_t warp_shfl_down(acc_t acc, int offset) const {
+    return WARP_SHFL_DOWN(acc, offset);
+  }
+#endif
+};
+
+// This accumulator template is used to calculate the norm of the absolute value
+// of a set of numbers.
+// `scalar_t` is the type of the input and `acc_t` is the type of the accumulated
+// value. These types differ for complex number input support.
+template <typename scalar_t, typename acc_t = scalar_t, typename out_t = acc_t>
+struct NormOps {
+  acc_t norm_;
+
+  inline C10_DEVICE acc_t reduce(acc_t acc, scalar_t data, int64_t /*idx*/) const {
+    return acc + compat_pow(static_cast<acc_t>(std::abs(data)), norm_);
+  }
+
+  inline C10_DEVICE acc_t combine(acc_t a, acc_t b) const {
+    return a + b;
+  }
+
+  inline C10_DEVICE out_t project(acc_t a) const {
+    return compat_pow(a, static_cast<acc_t>(1.0) / norm_);
+  }
+
+  static C10_DEVICE acc_t translate_idx(acc_t acc, int64_t /*base_idx*/) {
+    return acc;
+  }
+
+#if defined(__CUDACC__) || defined(__HIPCC__)
+  inline C10_DEVICE acc_t warp_shfl_down(acc_t acc, int offset) const {
+    return WARP_SHFL_DOWN(acc, offset);
+  }
+#endif
+
+  NormOps(acc_t norm_): norm_(norm_) {
+  }
+};
+
+// This accumulator template is used to calculate the order zero norm of the
+// absolute value of a set of numbers.
+// `scalar_t` is the type of the input and `acc_t` is the type of the accumulated
+// value. These types differ for complex number input support.
+template <typename scalar_t, typename acc_t = scalar_t, typename out_t = acc_t>
+struct NormZeroOps {
+  inline C10_DEVICE acc_t reduce(acc_t acc, scalar_t data, int64_t /*idx*/) const {
+    return acc + (data == static_cast<scalar_t>(0) ? static_cast<acc_t>(0) : static_cast<acc_t>(1));
+  }
+
+  inline C10_DEVICE acc_t combine(acc_t a, acc_t b) const {
+    return a + b;
+  }
+
+  inline C10_DEVICE out_t project(acc_t a) const {
+    return a;
+  }
+
+  static C10_DEVICE acc_t translate_idx(acc_t acc, int64_t /*base_idx*/) {
+    return acc;
+  }
+
+
+#if defined(__CUDACC__) || defined(__HIPCC__)
+  inline C10_DEVICE acc_t warp_shfl_down(acc_t acc, int offset) const {
+    return WARP_SHFL_DOWN(acc, offset);
+  }
+#endif
+};
+
+// This accumulator template is used to calculate the order one norm of the
+// absolute value of a set of numbers.
+// `scalar_t` is the type of the input and `acc_t` is the type of the accumulated
+// value. These types differ for complex number input support.
+template <typename scalar_t, typename acc_t = scalar_t, typename out_t = acc_t>
+struct NormOneOps {
+  inline C10_DEVICE acc_t reduce(acc_t acc, scalar_t data, int64_t /*idx*/) const {
+    return acc + static_cast<acc_t>(std::abs(data));
+  }
+
+  inline C10_DEVICE acc_t combine(acc_t a, acc_t b) const {
+    return a + b;
+  }
+
+  inline C10_DEVICE out_t project(acc_t a) const {
+    return a;
+  }
+
+  static C10_DEVICE acc_t translate_idx(acc_t acc, int64_t /*base_idx*/) {
+    return acc;
+  }
+
+#if defined(__CUDACC__) || defined(__HIPCC__)
+  inline C10_DEVICE acc_t warp_shfl_down(acc_t acc, int offset) const {
+    return WARP_SHFL_DOWN(acc, offset);
+  }
+#endif
+};
+
+
+template<typename acc_t>
+struct AbsSwitch {};
+
+template<typename scalar_t, typename acc_t>
+inline C10_DEVICE acc_t abs_if_complex(scalar_t data, AbsSwitch<acc_t>) {
+  return static_cast<acc_t>(data);
+}
+
+template<typename scalar_t, typename acc_t>
+inline C10_DEVICE acc_t abs_if_complex(std::complex<scalar_t> data, AbsSwitch<acc_t>) {
+  return static_cast<acc_t>(std::abs(data));
+}
+
+template<typename scalar_t, typename acc_t>
+inline C10_DEVICE acc_t abs_if_complex(c10::complex<scalar_t> data, AbsSwitch<acc_t>) {
+  return static_cast<acc_t>(std::abs(data));
+}
+
+// This accumulator template is used to calculate the order two norm of the
+// absolute value of a set of numbers.
+// `scalar_t` is the type of the input and `acc_t` is the type of the accumulated
+// value. These types differ for complex number input support.
+template <typename scalar_t, typename acc_t = scalar_t, typename out_t = acc_t>
+struct NormTwoOps {
+  inline C10_DEVICE acc_t reduce(acc_t acc, scalar_t data, int64_t /*idx*/) const {
+    acc_t data_ = abs_if_complex(data, AbsSwitch<acc_t>());
+    return acc + data_ * data_;
+  }
+
+  inline C10_DEVICE acc_t combine(acc_t a, acc_t b) const {
+    return a + b;
+  }
+
+  inline C10_DEVICE out_t project(acc_t a) const {
+    return device_sqrt(a);
+  }
+
+  static C10_DEVICE acc_t translate_idx(acc_t acc, int64_t /*base_idx*/) {
+    return acc;
+  }
+
+#if defined(__CUDACC__) || defined(__HIPCC__)
+  inline C10_DEVICE acc_t warp_shfl_down(acc_t acc, int offset) const {
+    return WARP_SHFL_DOWN(acc, offset);
+  }
+#endif
+};
+
+template <typename acc_t, typename data_t>
+struct NanSumOps {
+  inline C10_DEVICE acc_t reduce(acc_t a, data_t b, int64_t /*idx*/) const {
+    return a + (at::_isnan(b) ? acc_t{0.} : acc_t{b});
+  }
+
+  inline C10_DEVICE acc_t combine(acc_t a, acc_t b) const {
+    return  a + b;
+  }
+
+  inline C10_DEVICE data_t project(acc_t a) const {
+    return data_t{a};
+  }
+
+  static C10_DEVICE acc_t translate_idx(acc_t acc, int64_t /*base_idx*/) {
+    return acc;
+  }
+
+#if defined(__CUDACC__) || defined(__HIPCC__)
+  inline C10_DEVICE acc_t warp_shfl_down(acc_t data, int offset) const {
+    return WARP_SHFL_DOWN(data, offset);
+  }
+#endif
+};
+
+namespace detail {
+
+template <typename scalar_t>
+struct LessOrNan {
+  C10_DEVICE bool operator () (scalar_t a, scalar_t b, int64_t idx_a, int64_t idx_b) const {
+    // If (a == b), then choose the one with lower idx, else min(a, b)
+    if (at::_isnan(a)) {
+      if (at::_isnan(b)) {
+        return idx_a < idx_b;
+      }
+      return true;
+    }
+    return (a == b) ? idx_a < idx_b : (a < b);
+  }
+};
+
+template <typename scalar_t>
+struct GreaterOrNan {
+  C10_DEVICE bool operator () (scalar_t a, scalar_t b, int64_t idx_a, int64_t idx_b) const {
+    // If (a == b), then choose the one with lower idx, else max(a, b)
+    if (at::_isnan(a)) {
+      if (at::_isnan(b)) {
+        return idx_a < idx_b;
+      }
+      return true;
+    }
+    return (a == b) ? idx_a < idx_b : (a > b);
+  }
+};
+
+template <typename comp_t>
+struct MinMaxReductionOps {
+  using scalar_t = typename binary_function_traits<comp_t>::arg1_t;
+  using index_t = int64_t;
+  using arg_t = detail::pair<scalar_t, index_t>;
+
+  static C10_DEVICE arg_t project(arg_t arg) {
+    return arg;
+  }
+
+  static C10_DEVICE arg_t reduce(arg_t arg, scalar_t val, int64_t idx) {
+    return comp_t{}(arg.first, val, arg.second, idx) ? arg : arg_t(val, idx);
+  }
+
+  static C10_DEVICE arg_t combine(arg_t a, arg_t b) {
+    return comp_t{}(a.first, b.first, a.second, b.second) ? a : b;
+  }
+
+  static C10_DEVICE arg_t translate_idx(arg_t a, int64_t base_idx) {
+    return {a.first, a.second + base_idx};
+  }
+
+#if defined(__CUDACC__) || defined(__HIPCC__)
+  static C10_DEVICE arg_t warp_shfl_down(arg_t arg, int offset) {
+    return arg_t(WARP_SHFL_DOWN(arg.first, offset),
+                 WARP_SHFL_DOWN(arg.second, offset));
+  }
+#endif
+};
+
+template <typename comp_t>
+struct ArgReductionOps : public MinMaxReductionOps<comp_t> {
+  using typename MinMaxReductionOps<comp_t>::scalar_t;
+  using typename MinMaxReductionOps<comp_t>::index_t;
+  using typename MinMaxReductionOps<comp_t>::arg_t;
+
+  static C10_DEVICE index_t project(arg_t arg) {
+    return arg.second;
+  }
+};
+
+} // namespace detail
+
+template <typename scalar_t>
+struct ArgMaxOps :
+  public detail::ArgReductionOps<detail::GreaterOrNan<scalar_t>> {
+};
+
+template <typename scalar_t>
+struct ArgMinOps :
+  public detail::ArgReductionOps<detail::LessOrNan<scalar_t>> {
+};
+
+template <typename scalar_t>
+struct MinOps :
+  public detail::MinMaxReductionOps<detail::LessOrNan<scalar_t>> {
+};
+
+template <typename scalar_t>
+struct MaxOps :
+  public detail::MinMaxReductionOps<detail::GreaterOrNan<scalar_t>> {
+};
+
+template <typename scalar_t, typename acc_scalar_t, typename index_t>
+struct MinMaxOps {
+  using acc_t = detail::pair<acc_scalar_t, acc_scalar_t>;
+  inline C10_DEVICE acc_t reduce(acc_t acc, scalar_t data, index_t /*idx*/) const {
+    return combine(acc, {data, data});
+  }
+
+  inline C10_DEVICE acc_t combine(acc_t a, acc_t b) const {
+    auto min_val = (at::_isnan(a.first) || a.first < b.first) ? a.first : b.first;
+    auto max_val = (at::_isnan(a.second) || a.second > b.second) ? a.second : b.second;
+
+    return {min_val, max_val};
+  }
+
+  inline C10_DEVICE acc_t project(acc_t acc) const {
+    return acc;
+  }
+
+  static C10_DEVICE acc_t translate_idx(acc_t acc, int64_t /*base_idx*/) {
+    return acc;
+  }
+
+#if defined(__CUDACC__) || defined(__HIPCC__)
+  inline C10_DEVICE acc_t warp_shfl_down(acc_t acc, int offset) const {
+    return {
+      WARP_SHFL_DOWN(acc.first, offset), WARP_SHFL_DOWN(acc.second, offset)
+    };
+  }
+#endif
+};
+
+}} // namespace at::native
+
+#undef MAX
+#undef MIN

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/StridedRandomAccessor.h

@@ -0,0 +1,301 @@
+#pragma once
+
+namespace at::native {
+
+// (Const)StridedRandomAccessor is a
+// (const) random access iterator defined over
+// a strided array.
+
+// The traits below are to introduce __restrict__
+// modifier on different platforms.
+
+template <typename T>
+struct DefaultPtrTraits {
+  using PtrType = T*;
+};
+
+#if (defined(_WIN32) || defined(_WIN64))
+#define RESTRICT __restrict
+#else
+#define RESTRICT __restrict__
+#endif
+
+template <typename T>
+struct RestrictPtrTraits {
+  using PtrType = T* RESTRICT;
+};
+
+template <
+  typename T,
+  typename index_t = int64_t,
+  template <typename U> class PtrTraits = DefaultPtrTraits
+>
+class ConstStridedRandomAccessor {
+public:
+  using difference_type = index_t;
+  using value_type = const T;
+  using pointer = const typename PtrTraits<T>::PtrType;
+  using reference = const value_type&;
+  using iterator_category = std::random_access_iterator_tag;
+
+  using PtrType = typename PtrTraits<T>::PtrType;
+  using index_type = index_t;
+
+  // Constructors {
+  C10_HOST_DEVICE
+  ConstStridedRandomAccessor(PtrType ptr, index_t stride)
+    : ptr{ptr}, stride{stride}
+  {}
+
+  C10_HOST_DEVICE
+  explicit ConstStridedRandomAccessor(PtrType ptr)
+    : ptr{ptr}, stride{static_cast<index_t>(1)}
+  {}
+
+  C10_HOST_DEVICE
+  ConstStridedRandomAccessor()
+    : ptr{nullptr}, stride{static_cast<index_t>(1)}
+  {}
+  // }
+
+  // Pointer-like operations {
+  C10_HOST_DEVICE
+  reference operator*() const {
+    return *ptr;
+  }
+
+  C10_HOST_DEVICE
+  const value_type* operator->() const {
+    return reinterpret_cast<const value_type*>(ptr);
+  }
+
+  C10_HOST_DEVICE
+  reference operator[](index_t idx) const {
+    return ptr[idx * stride];
+  }
+  // }
+
+  // Prefix/postfix increment/decrement {
+  C10_HOST_DEVICE
+  ConstStridedRandomAccessor& operator++() {
+    ptr += stride;
+    return *this;
+  }
+
+  C10_HOST_DEVICE
+  ConstStridedRandomAccessor operator++(int) {
+    ConstStridedRandomAccessor copy(*this);
+    ++*this;
+    return copy;
+  }
+
+  C10_HOST_DEVICE
+  ConstStridedRandomAccessor& operator--() {
+    ptr -= stride;
+    return *this;
+  }
+
+  C10_HOST_DEVICE
+  ConstStridedRandomAccessor operator--(int) {
+    ConstStridedRandomAccessor copy(*this);
+    --*this;
+    return copy;
+  }
+  // }
+
+  // Arithmetic operations {
+  C10_HOST_DEVICE
+  ConstStridedRandomAccessor& operator+=(index_t offset) {
+    ptr += offset * stride;
+    return *this;
+  }
+
+  C10_HOST_DEVICE
+  ConstStridedRandomAccessor operator+(index_t offset) const {
+    return ConstStridedRandomAccessor(ptr + offset * stride, stride);
+  }
+
+  C10_HOST_DEVICE
+  friend ConstStridedRandomAccessor operator+(
+    index_t offset,
+    const ConstStridedRandomAccessor& accessor
+  ) {
+    return accessor + offset;
+  }
+
+  C10_HOST_DEVICE
+  ConstStridedRandomAccessor& operator-=(index_t offset) {
+    ptr -= offset * stride;
+    return *this;
+  }
+
+  C10_HOST_DEVICE
+  ConstStridedRandomAccessor operator-(index_t offset) const {
+    return ConstStridedRandomAccessor(ptr - offset * stride, stride);
+  }
+
+  // Note that this operator is well-defined when `this` and `other`
+  // represent the same sequences, i.e. when
+  // 1. this.stride == other.stride,
+  // 2. |other - this| / this.stride is an Integer.
+  C10_HOST_DEVICE
+  difference_type operator-(const ConstStridedRandomAccessor& other) const {
+    return (ptr - other.ptr) / stride;
+  }
+  // }
+
+  // Comparison operators {
+  C10_HOST_DEVICE
+  bool operator==(const ConstStridedRandomAccessor& other) const {
+    return (ptr == other.ptr) && (stride == other.stride);
+  }
+
+  C10_HOST_DEVICE
+  bool operator!=(const ConstStridedRandomAccessor& other) const {
+    return !(*this == other);
+  }
+
+  C10_HOST_DEVICE
+  bool operator<(const ConstStridedRandomAccessor& other) const {
+    return ptr < other.ptr;
+  }
+
+  C10_HOST_DEVICE
+  bool operator<=(const ConstStridedRandomAccessor& other) const {
+    return (*this < other) || (*this == other);
+  }
+
+  C10_HOST_DEVICE
+  bool operator>(const ConstStridedRandomAccessor& other) const {
+    return !(*this <= other);
+  }
+
+  C10_HOST_DEVICE
+  bool operator>=(const ConstStridedRandomAccessor& other) const {
+    return !(*this < other);
+  }
+  // }
+
+protected:
+  PtrType ptr;
+  index_t stride;
+};
+
+template <
+  typename T,
+  typename index_t = int64_t,
+  template <typename U> class PtrTraits = DefaultPtrTraits
+>
+class StridedRandomAccessor
+  : public ConstStridedRandomAccessor<T, index_t, PtrTraits> {
+public:
+  using difference_type = index_t;
+  using value_type = T;
+  using pointer = typename PtrTraits<T>::PtrType;
+  using reference = value_type&;
+
+  using BaseType = ConstStridedRandomAccessor<T, index_t, PtrTraits>;
+  using PtrType = typename PtrTraits<T>::PtrType;
+
+  // Constructors {
+  C10_HOST_DEVICE
+  StridedRandomAccessor(PtrType ptr, index_t stride)
+    : BaseType(ptr, stride)
+  {}
+
+  C10_HOST_DEVICE
+  explicit StridedRandomAccessor(PtrType ptr)
+    : BaseType(ptr)
+  {}
+
+  C10_HOST_DEVICE
+  StridedRandomAccessor()
+    : BaseType()
+  {}
+  // }
+
+  // Pointer-like operations {
+  C10_HOST_DEVICE
+  reference operator*() const {
+    return *this->ptr;
+  }
+
+  C10_HOST_DEVICE
+  value_type* operator->() const {
+    return reinterpret_cast<value_type*>(this->ptr);
+  }
+
+  C10_HOST_DEVICE
+  reference operator[](index_t idx) const {
+    return this->ptr[idx * this->stride];
+  }
+  // }
+
+  // Prefix/postfix increment/decrement {
+  C10_HOST_DEVICE
+  StridedRandomAccessor& operator++() {
+    this->ptr += this->stride;
+    return *this;
+  }
+
+  C10_HOST_DEVICE
+  StridedRandomAccessor operator++(int) {
+    StridedRandomAccessor copy(*this);
+    ++*this;
+    return copy;
+  }
+
+  C10_HOST_DEVICE
+  StridedRandomAccessor& operator--() {
+    this->ptr -= this->stride;
+    return *this;
+  }
+
+  C10_HOST_DEVICE
+  StridedRandomAccessor operator--(int) {
+    StridedRandomAccessor copy(*this);
+    --*this;
+    return copy;
+  }
+  // }
+
+  // Arithmetic operations {
+  C10_HOST_DEVICE
+  StridedRandomAccessor& operator+=(index_t offset) {
+    this->ptr += offset * this->stride;
+    return *this;
+  }
+
+  C10_HOST_DEVICE
+  StridedRandomAccessor operator+(index_t offset) const {
+    return StridedRandomAccessor(this->ptr + offset * this->stride, this->stride);
+  }
+
+  C10_HOST_DEVICE
+  friend StridedRandomAccessor operator+(
+    index_t offset,
+    const StridedRandomAccessor& accessor
+  ) {
+    return accessor + offset;
+  }
+
+  C10_HOST_DEVICE
+  StridedRandomAccessor& operator-=(index_t offset) {
+    this->ptr -= offset * this->stride;
+    return *this;
+  }
+
+  C10_HOST_DEVICE
+  StridedRandomAccessor operator-(index_t offset) const {
+    return StridedRandomAccessor(this->ptr - offset * this->stride, this->stride);
+  }
+
+  // Note that here we call BaseType::operator- version
+  C10_HOST_DEVICE
+  difference_type operator-(const BaseType& other) const {
+    return (static_cast<const BaseType&>(*this) - other);
+  }
+  // }
+};
+
+} // namespace at::native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/TensorCompare.h

@@ -0,0 +1,49 @@
+#pragma once
+
+#include <ATen/native/DispatchStub.h>
+
+namespace c10 {
+class Scalar;
+}
+
+namespace at {
+class Tensor;
+struct TensorIterator;
+struct TensorIteratorBase;
+}
+
+namespace at::native {
+
+using reduce_minmax_fn =
+    void (*)(Tensor&, Tensor&, const Tensor&, int64_t, bool);
+using structured_reduce_minmax_fn =
+    void (*)(const Tensor&, const Tensor&, const Tensor&, int64_t, bool);
+
+DECLARE_DISPATCH(structured_reduce_minmax_fn, max_stub);
+DECLARE_DISPATCH(structured_reduce_minmax_fn, min_stub);
+
+using where_fn = void (*)(TensorIterator &);
+DECLARE_DISPATCH(where_fn, where_kernel);
+
+using is_infinity_op_fn = void (*)(TensorIteratorBase &);
+DECLARE_DISPATCH(is_infinity_op_fn, isposinf_stub);
+DECLARE_DISPATCH(is_infinity_op_fn, isneginf_stub);
+
+using mode_fn = void (*)(Tensor&, Tensor&, const Tensor&, int64_t, bool);
+DECLARE_DISPATCH(mode_fn, mode_stub);
+
+using clamp_tensor_fn = void (*)(TensorIteratorBase &);
+DECLARE_DISPATCH(clamp_tensor_fn, clamp_stub);
+
+namespace detail {
+    enum class ClampLimits {Min, Max, MinMax};
+}
+
+DECLARE_DISPATCH(void (*)(TensorIteratorBase &, const c10::Scalar&, const c10::Scalar&), clamp_scalar_stub);
+DECLARE_DISPATCH(void (*)(TensorIteratorBase &, c10::Scalar), clamp_min_scalar_stub);
+DECLARE_DISPATCH(void (*)(TensorIteratorBase &, c10::Scalar), clamp_max_scalar_stub);
+
+using isin_default_fn = void (*)(const Tensor&, const Tensor&, bool, const Tensor&);
+DECLARE_DISPATCH(isin_default_fn, isin_default_stub);
+
+} // namespace at::native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/TensorFactories.h

@@ -0,0 +1,140 @@
+#pragma once
+
+#include <ATen/core/Tensor.h>
+#include <ATen/EmptyTensor.h>
+#include <ATen/TensorIterator.h>
+#include <ATen/Dispatch.h>
+#include <ATen/native/DispatchStub.h>
+
+#ifndef AT_PER_OPERATOR_HEADERS
+#include <ATen/Functions.h>
+#else
+#include <ATen/ops/scalar_tensor.h>
+#endif
+
+namespace at::native {
+// Different combinations of row, col, and offset can lead to two cases:
+//
+// Case 1 - Trapezoid (Triangle as a special case): row + offset <= col
+//    Example A: offset > 0
+//      1 1 0 0 0
+//      1 1 1 0 0
+//      1 1 1 1 0
+//    Example B: offset <= 0
+//      0 0 0
+//      1 0 0
+//      1 1 0
+//    In this case, we calculate the number of elements in the first row and
+//    last row of the tril respectively, and then compute the tril size.
+//
+// Case 2 - Trapezoid + Rectangle: row + offset > col
+//    Example:
+//      1 1 0
+//      1 1 1
+//      1 1 1
+//    In this case, we first calculate the size of top trapezoid, and then
+//    calculate the size of the bottom rectangle.
+inline int64_t get_tril_size(int64_t row, int64_t col, int64_t offset) {
+  // If either dimension is 0 then the there is no tril
+  if (row == 0 || col == 0) {
+    return 0;
+  }
+  // number of elements in the first row of the tril
+  auto m_first_row = offset > 0 ?
+    std::min<int64_t>(col, 1 + offset) : // upper bounded by col
+    row + offset > 0; // either 0 or 1
+  // number of elements in the last row of the tril, bounded by [0, col]
+  auto m_last_row = std::max<int64_t>(0, std::min<int64_t>(col, row + offset));
+  // number of rows, bounded by [0, row]
+  auto n_row_all = std::max<int64_t>(0, std::min<int64_t>(row, row + offset));
+  auto n_row_trapezoid = (m_last_row - m_first_row + 1);
+
+  // calculate # of elements in the top trapezoid
+  auto tril_size = (m_first_row + m_last_row) * n_row_trapezoid >> 1;
+
+  // calculate # of elements in the bottom rectangle if there is any
+  auto diff_row = n_row_all - n_row_trapezoid;
+  if (diff_row > 0) {
+    tril_size += diff_row * col;
+  }
+
+  return tril_size;
+}
+
+inline void check_args(
+    int64_t row, int64_t col, c10::optional<Layout> layout_opt) {
+  TORCH_CHECK(row >= 0, "row must be non-negative, got", row);
+  TORCH_CHECK(col >= 0, "col must be non-negative, got", col);
+  if (layout_opt.has_value()) {
+    TORCH_CHECK(
+      *layout_opt == at::kStrided,
+      "only support layout=torch.strided, got",
+      *layout_opt)
+  }
+}
+
+using at::check_size_nonnegative;
+
+// assumes maximum value in created tensor is n-1 (e.g., torch.randperm(n))
+inline void check_supported_max_int_with_precision(int64_t n, const Tensor& tensor) {
+  // match defined() to behavior of checks below
+  TORCH_CHECK(at::scalar_tensor(n>0?n-1:n, tensor.options()).defined(),
+              "n is too large for result tensor type: '", tensor.toString(), "'");
+
+  // Ensure sufficient precision for floating point representation.
+  switch (tensor.scalar_type()) {
+    case at::ScalarType::Half:
+      TORCH_CHECK(n <= (int64_t(1) << 11) + 1, "n cannot be greater than 2049 for Half type.");
+      break;
+    case at::ScalarType::Float:
+      TORCH_CHECK(n <= (int64_t(1) << 24) + 1, "n cannot be greater than 2^24+1 for Float type.");
+      break;
+    case at::ScalarType::Double:  // Unlikely to happen, but doesn't hurt to check
+      TORCH_CHECK(n <= (int64_t(1) << 53) + 1, "n cannot be greater than 2^53+1 for Double type.");
+      break;
+    default:
+      break;
+  }
+}
+
+// Called by `empty*` functions when deterministic algorithms are enabled to
+// fill the tensor with NaN if it is floating point or complex type, or fill
+// with max value if it is integer type
+inline Tensor& fill_empty_deterministic_(Tensor& tensor) {
+  if (tensor.is_floating_point() || tensor.is_complex()) {
+    AT_DISPATCH_FLOATING_AND_COMPLEX_TYPES_AND2(
+      kBFloat16, kHalf, tensor.scalar_type(), "fill_empty_deterministic_", [&]() {
+        tensor.fill_(std::numeric_limits<scalar_t>::quiet_NaN());
+    });
+  } else {
+    AT_DISPATCH_INTEGRAL_TYPES_AND(
+      kBool, tensor.scalar_type(), "fill_empty_deterministic_", [&]() {
+        tensor.fill_(std::numeric_limits<scalar_t>::max());
+    });
+  }
+  return tensor;
+}
+
+// The ZeroTensor allocator ignores whatever allocation is requested and always
+// gives you nullptr
+struct ZeroTensorAllocator final : public at::Allocator {
+  ZeroTensorAllocator(at::Device device) : device_(device) {};
+  ~ZeroTensorAllocator() override = default;
+  static void deleter(void* const pointer) {
+    TORCH_INTERNAL_ASSERT(!pointer);
+  }
+  DataPtr allocate(const size_t /*nbytes*/) const override {
+    return {nullptr, nullptr, &deleter, device_};
+  }
+  DeleterFnPtr raw_deleter() const override {
+    return deleter;
+  }
+  at::Device device_;
+};
+
+using binary_fn = void (*)(TensorIterator&);
+
+DECLARE_DISPATCH(binary_fn, complex_stub);
+DECLARE_DISPATCH(binary_fn, polar_stub);
+
+} // namespace at::native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/TensorIteratorDynamicCasting.h

@@ -0,0 +1,53 @@
+#pragma once
+
+#include <complex>
+#include <type_traits>
+#include <c10/core/ScalarType.h>
+#include <c10/util/C++17.h>
+#include <ATen/detail/FunctionTraits.h>
+#include <ATen/native/TensorIterator.h>
+
+
+// This file includes utilties for dynamic_casting done by TensorIterator, see CUDALoops.cuh and Loops.h.
+
+// dynamic_casting handles when the types expected by the iterator do not match the types of the arguments
+// to the function that is being called.
+// On CUDA, the cast is currently pushed down into the kernel (for performance reasons).
+// On CPU, there is currently an internal assert that a dynamic_cast is not needed.
+
+namespace at::native {
+
+// `needs_dynamic_casting` compares the types expected by iterator
+// (i.e. dtypes of the operands) with the actual type of the arguments
+// (and returns) of func_t
+template<typename func_t, int nargs=function_traits<func_t>::arity>
+struct needs_dynamic_casting {
+  static bool check(TensorIteratorBase& iter) {
+    using traits = function_traits<func_t>;
+    using cpp_type = typename traits::template arg<nargs - 1>::type;
+    using cpp_map = c10::CppTypeToScalarType<cpp_type>;
+
+    if (iter.input_dtype(nargs-1) != cpp_map::value) {
+      return true;
+    }
+    return needs_dynamic_casting<func_t, nargs - 1>::check(iter);
+  }
+};
+
+template<typename func_t>
+struct needs_dynamic_casting<func_t, 0> {
+  static bool check(TensorIteratorBase& iter) {
+    using traits = function_traits<func_t>;
+    using cpp_type = typename traits::result_type;
+
+    // we could assert output numbers are correct here, but checks
+    // (including arity) are currently pushed outside of this struct.
+    if constexpr (std::is_void_v<cpp_type>) {
+      return false;
+    } else {
+      return iter.dtype(0) != c10::CppTypeToScalarType<cpp_type>::value;
+    }
+  }
+};
+
+} //namespace at::native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/TensorShape.h

@@ -0,0 +1,58 @@
+#pragma once
+#include <ATen/core/Tensor.h>
+#include <c10/util/irange.h>
+#include <ATen/core/IListRef.h>
+
+namespace at::native {
+
+TORCH_API at::Tensor clone_preserve_strides(const at::Tensor& self);
+
+inline bool cat_should_skip_tensor(const Tensor& t) {
+  return t.numel() == 0 && t.dim() == 1;
+}
+
+ // Check to see if the shape of tensors is compatible
+ // for being concatenated along a given dimension.
+inline void check_cat_shape_except_dim(const Tensor & first, const Tensor & second, int64_t dimension, int64_t index) {
+   int64_t first_dims = first.dim();
+   int64_t second_dims = second.dim();
+   TORCH_CHECK(first_dims == second_dims, "Tensors must have same number of dimensions: got ",
+               first_dims, " and ", second_dims);
+   for (const auto dim : c10::irange(first_dims)) {
+     if (dim == dimension) {
+       continue;
+     }
+     int64_t first_dim_size = first.sizes()[dim];
+     int64_t second_dim_size = second.sizes()[dim];
+     TORCH_CHECK(first_dim_size == second_dim_size, "Sizes of tensors must match except in dimension ",
+                 dimension, ". Expected size ", static_cast<long long>(first_dim_size), " but got size ", static_cast<long long>(second_dim_size), " for tensor number ", index, " in the list.");
+   }
+ }
+
+inline void check_cat_no_zero_dim(const MaterializedITensorListRef& tensors) {
+  int64_t i = 0;
+  for(const Tensor& t : tensors) {
+    TORCH_CHECK(t.dim() > 0,
+             "zero-dimensional tensor (at position ", i, ") cannot be concatenated");
+    i++;
+  }
+}
+
+inline int64_t get_num_splits(const Tensor& self, int64_t split_size, int64_t dim) {
+  TORCH_CHECK(self.dim() != 0, "split expects at least a 1-dimensional tensor");
+  TORCH_CHECK(split_size >= 0,  "split expects split_size be non-negative, but got split_size=", split_size);
+  int64_t dim_size = self.size(dim);
+  TORCH_CHECK(split_size > 0 || dim_size == 0,
+           "split_size can only be 0 if dimension size is 0, "
+           "but got dimension size of ", dim_size);
+  // if split_size is 0 and dimension size is 0, there is 1 split.
+  int64_t num_splits = 1;
+  if (split_size != 0) {
+    // ensuring num_splits is at least 1 makes consistent the case where split_size > dim_size
+    // (returns a single split).  We might want to error here, but keep it for BC.
+    num_splits = std::max<int64_t>((dim_size + split_size - 1) / split_size, 1);
+  }
+  return num_splits;
+}
+
+} // namespace at::native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/UnfoldBackward.h

@@ -0,0 +1,112 @@
+#pragma once
+
+#include <ATen/core/Tensor.h>
+#include <ATen/TensorIterator.h>
+#include <ATen/native/DispatchStub.h>
+#include <ATen/native/NonEmptyUtils.h>
+
+#ifndef AT_PER_OPERATOR_HEADERS
+#include <ATen/Functions.h>
+#else
+#include <ATen/ops/arange.h>
+#endif
+
+namespace at::native {
+
+using unfold_backward_fn = void (*)(
+  Tensor& grad_in,
+  const Tensor& grad,
+  int64_t dim,
+  int64_t size,
+  int64_t step
+);
+
+DECLARE_DISPATCH(unfold_backward_fn, unfold_backward_stub);
+
+namespace {
+
+// Note on naming: it is unconventional.
+// grad_in does not mean that it is a gradient wrt to input,
+// grad_in/grad_out is just an input/output of unfold_backward kernel.
+
+static C10_UNUSED TensorIterator _make_unfold_backward_iter_over_grad_out(
+  Tensor& grad_out,
+  const Tensor& grad_in,
+  int64_t dim,
+  int64_t size,
+  int64_t step
+) {
+  dim = maybe_wrap_dim(dim, grad_out.dim());
+  // last dim stores the folds
+
+  auto grad_out_dim_size = ensure_nonempty_size(grad_out, dim);
+  auto grad_in_dim_size = ensure_nonempty_size(grad_in, dim);
+  // dictates the number of elements to iterate over
+  // in dimension `dim`
+  auto iter_dim_size = std::min(
+    grad_out_dim_size,
+    (grad_in_dim_size - 1) * step + size
+  );
+
+  /* prepare grad_out for TensorIterator { */
+  auto grad_out_strides = ensure_nonempty_vec(grad_out.strides().vec());
+  auto grad_out_sizes = ensure_nonempty_vec(grad_out.sizes().vec());
+  grad_out_sizes[dim] = iter_dim_size;
+  auto grad_out_restrided = grad_out.as_strided(
+    grad_out_sizes, grad_out_strides
+  );
+  /* } */
+
+  /* prepare grad_in for TensorIterator { */
+  auto grad_in_strides = ensure_nonempty_vec(grad_in.strides().vec());
+  auto grad_in_sizes = ensure_nonempty_vec(grad_in.sizes().vec());
+
+  // set strides for dim to 0
+  // and size to 1 because
+  // this dimension is indexed inside the kernel
+  grad_in_strides[dim] = 0;
+  grad_in_sizes[dim] = 1;
+
+  grad_in_strides.pop_back();
+  grad_in_sizes.pop_back();
+
+  auto grad_in_restrided = grad_in.squeeze(-1).as_strided(
+    grad_in_sizes, grad_in_strides
+  );
+  /* } */
+
+  // During the TensorIterator iteration we have to know
+  // i_dim in grad_out[i_1,...,i_dim,...i_n],
+  // idx_dim stores this information
+  /* prepare idx_dim for TensorIterator { */
+  auto idx_dim = at::arange(
+    0, iter_dim_size, grad_in.options().dtype(at::kLong)
+  );
+
+  auto grad_out_dim = ensure_nonempty_dim(grad_out.dim());
+
+  auto idx_dim_strides = std::vector<int64_t>(grad_out_dim, 0);
+  auto idx_dim_sizes = std::vector<int64_t>(grad_out_dim, 1);
+
+  idx_dim_strides[dim] = 1;
+  idx_dim_sizes[dim] = iter_dim_size;
+
+  // idx_dim size will broadcast over determined by grad_out sizes in TensorIterator
+  auto idx_dim_restrided = idx_dim.as_strided(idx_dim_sizes, idx_dim_strides);
+  /* } */
+
+  auto iter = TensorIteratorConfig()
+    .set_check_mem_overlap(false)
+    .check_all_same_dtype(false)
+    .resize_outputs(false)
+    .add_owned_output(grad_out_restrided)
+    .add_owned_input(grad_in_restrided)
+    .add_owned_input(idx_dim_restrided)
+    .build();
+
+  return iter;
+}
+
+}
+
+} // namespace at::native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cpu/ChannelShuffleKernel.h

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

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cpu/DepthwiseConvKernel.h

@@ -0,0 +1,21 @@
+#pragma once
+
+#include <ATen/native/DispatchStub.h>
+#include <c10/util/ArrayRef.h>
+
+/*
+  Depthwise 3x3 Winograd convolution operator
+*/
+
+namespace at {
+class Tensor;
+
+namespace native {
+
+using convolution_depthwise3x3_winograd_fn =
+    Tensor (*)(const Tensor &, const Tensor &, const Tensor &, IntArrayRef, IntArrayRef, int64_t);
+
+DECLARE_DISPATCH(convolution_depthwise3x3_winograd_fn, convolution_depthwise3x3_winograd_stub);
+
+}  // namespace native
+}  // namespace at

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cpu/GridSamplerKernel.h

@@ -0,0 +1,34 @@
+#pragma once
+
+#include <ATen/native/DispatchStub.h>
+
+#include <array>
+#include <cstdint>
+
+namespace at {
+class TensorBase;
+}
+
+namespace at { namespace native {
+
+using forward_2d_fn = void (*) (
+    const TensorBase &output,
+    const TensorBase &input,
+    const TensorBase &grid,
+    int64_t interpolation_mode,
+    int64_t padding_mode,
+    bool align_corners);
+using backward_2d_fn = void (*) (
+    const TensorBase &grad_input,
+    const TensorBase &grad_grid,
+    const TensorBase &grad_output,
+    const TensorBase &input,
+    const TensorBase &grid,
+    int64_t interpolation_mode,
+    int64_t padding_mode,
+    bool align_corners,
+    std::array<bool, 2> output_mask);
+DECLARE_DISPATCH(forward_2d_fn, grid_sampler_2d_cpu_kernel);
+DECLARE_DISPATCH(backward_2d_fn, grid_sampler_2d_backward_cpu_kernel);
+
+}}  // namespace at::native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cpu/IndexKernelUtils.h

@@ -0,0 +1,88 @@
+#pragma once
+#include <ATen/native/TensorIterator.h>
+#include <c10/util/irange.h>
+
+namespace at {
+namespace native {
+
+namespace {
+static bool is_constant_index(int ntensor, const int64_t* strides) {
+  AT_ASSERT(ntensor >= 3);
+  for (const auto arg : c10::irange(2, ntensor)) {
+    if (strides[arg] != 0) {
+      return false;
+    }
+  }
+  return true;
+}
+
+
+struct Indexer {
+  Indexer(int64_t num_indexers, char** indexers, const int64_t* indexer_strides,
+          IntArrayRef original_sizes, IntArrayRef original_strides)
+    : num_indexers(num_indexers)
+    , indexers(indexers)
+    , indexer_strides(indexer_strides)
+    , original_strides(original_strides.data())
+    , original_sizes(original_sizes.data()) {
+    AT_ASSERT(static_cast<int64_t>(original_strides.size()) == num_indexers);
+    AT_ASSERT(static_cast<int64_t>(original_sizes.size()) == num_indexers);
+  }
+
+  int64_t num_indexers;
+  char** indexers;
+  const int64_t* indexer_strides;
+  const int64_t* original_strides;
+  const int64_t* original_sizes;
+
+  int64_t get(int64_t idx) {
+    int64_t offset = 0;
+    for (const auto j : c10::irange(num_indexers)) {
+      int64_t value = *(int64_t*)&indexers[j][idx * indexer_strides[j]];
+      int64_t size = original_sizes[j];
+      TORCH_CHECK_INDEX(value >= -size && value < size,
+                        "index ", value, " is out of bounds for dimension ", j, " with size ", size);
+      if (value < 0) {
+        value += size;
+      }
+      offset += value * original_strides[j];
+    }
+    return offset;
+  }
+};
+} // anonymous namespace
+
+template <typename scalar_t, typename func_t>
+void cpu_index_kernel(TensorIteratorBase& iter, IntArrayRef index_size, IntArrayRef index_stride,
+                      const func_t& f, bool serial_execution=false)
+{
+  int ntensor = iter.ntensors();
+  // When launch the index parallel version, set a relative small grain size less than the INTERNAL::GRAIN_SIZE
+  // to make the whole available thread numbers get more balanced work load and a better cache location.
+  // The grain size here is chosen by the op benchmark to overcome the thread launch overhead
+  const int index_parallel_grain_size = 3000;
+  auto loop = [&](char** data, const int64_t* strides, int64_t n) {
+    auto indexer = Indexer(ntensor - 2, &data[2], &strides[2], index_size, index_stride);
+    char* dst = data[0];
+    char* src = data[1];
+    if (is_constant_index(ntensor, strides)) {
+      // specialization for when every element uses the same index
+      int64_t offset = indexer.get(0);
+      for (const auto i : c10::irange(n)) {
+        f(dst + strides[0] * i, src + strides[1] * i, offset);
+      }
+    } else {
+      for (const auto i : c10::irange(n)) {
+        int64_t offset = indexer.get(i);
+        f(dst + strides[0] * i, src + strides[1] * i, offset);
+      }
+    }
+  };
+  if (serial_execution) {
+    iter.serial_for_each(loop, {0, iter.numel()});
+  } else {
+    iter.for_each(loop, index_parallel_grain_size);
+  }
+}
+} // at
+} // native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cpu/Intrinsics.h

@@ -0,0 +1,33 @@
+#pragma once
+
+#if defined(__clang__) && (defined(__x86_64__) || defined(__i386__))
+/* Clang-compatible compiler, targeting x86/x86-64 */
+#include <x86intrin.h>
+#elif defined(_MSC_VER)
+/* Microsoft C/C++-compatible compiler */
+#include <intrin.h>
+#if _MSC_VER <= 1900
+#define _mm256_extract_epi64(X, Y) (((uint64_t*)&X)[Y])
+#endif
+#elif defined(__GNUC__) && (defined(__x86_64__) || defined(__i386__))
+/* GCC-compatible compiler, targeting x86/x86-64 */
+#include <x86intrin.h>
+#elif defined(__GNUC__) && defined(__ARM_NEON__)
+/* GCC-compatible compiler, targeting ARM with NEON */
+#include <arm_neon.h>
+#elif defined(__GNUC__) && defined(__IWMMXT__)
+/* GCC-compatible compiler, targeting ARM with WMMX */
+#include <mmintrin.h>
+#elif (defined(__GNUC__) || defined(__xlC__)) && \
+    (defined(__VEC__) || defined(__ALTIVEC__))
+/* XLC or GCC-compatible compiler, targeting PowerPC with VMX/VSX */
+#include <altivec.h>
+/* We need to undef those tokens defined by <altivec.h> to avoid conflicts
+   with the C++ types. => Can still use __bool/__vector */
+#undef bool
+#undef vector
+#undef pixel
+#elif defined(__GNUC__) && defined(__SPE__)
+/* GCC-compatible compiler, targeting PowerPC with SPE */
+#include <spe.h>
+#endif

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cpu/LogAddExp.h

@@ -0,0 +1,61 @@
+#pragma once
+
+#include <c10/util/complex.h>
+#include <ATen/NumericUtils.h>
+
+namespace at { namespace native {
+inline namespace CPU_CAPABILITY {
+
+// custom min and max to be used in logcumsumexp for complex arguments
+template <typename scalar_t>
+std::pair<c10::complex<scalar_t>, c10::complex<scalar_t>> _logcumsumexp_minmax(c10::complex<scalar_t> x, c10::complex<scalar_t> y) {
+  if (at::_isnan(y)) {  // either real is nan or imag is nan
+    return std::make_pair(y, y);
+  } else if (at::_isnan(x)) {  // either real is nan or imag is nan
+    return std::make_pair(x, x);
+  } else {
+    return (x.real() < y.real()) ? std::make_pair(x, y) : std::make_pair(y, x);
+  }
+}
+
+template <typename scalar_t>
+scalar_t _log_add_exp_helper(scalar_t x, scalar_t y) {
+  // Reference : https://www.tensorflow.org/api_docs/python/tf/math/cumulative_logsumexp
+  scalar_t min = at::_isnan(y) ? y : std::min(x, y); // std::min returns first arg if one of the args is nan
+  scalar_t max = at::_isnan(y) ? y : std::max(x, y); // std::max returns first arg if one of the args is nan
+  if (min != max || std::isfinite(min)) {
+    // nan will be propagated here
+    return std::log1p(std::exp(min - max)) + max;
+  } else {
+    // special case to correctly handle infinite cases
+    return x;
+  }
+}
+
+template <typename scalar_t>
+c10::complex<scalar_t> _log_add_exp_helper(const c10::complex<scalar_t>& x, const c10::complex<scalar_t>& y) {
+  auto [min, max] = _logcumsumexp_minmax<scalar_t>(x, y);
+  auto min_real = std::real(min);
+  auto max_real = std::real(max);
+
+  if (at::_isnan(min)) {  // either real is nan or imag is nan
+    // handling the "infectious" NaNs
+    return {std::numeric_limits<scalar_t>::quiet_NaN(), std::numeric_limits<scalar_t>::quiet_NaN()};
+  } else if (!std::isfinite(min_real) && (min_real == max_real)) {
+    if (min_real < 0) {
+      // handle the -inf case, the imaginary part here does not really matter as the exp(value)
+      // will be around 0.0 and the angle (i.e. the imaginary part) cannot be determined.
+      // It does not matter if we're taking the exp of this value
+      return min;
+    } else {
+      // handle the +inf case, we don't need the special precision for log1p for small values
+      // and to avoid producing nan in case of real(max) == real(min) == +inf
+      return std::log(std::exp(min) + std::exp(max));
+    }
+  } else {
+    return std::log1p(std::exp(min - max)) + max;
+  }
+}
+
+} // end namespace
+}} //end at::native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cpu/Loops.h

@@ -0,0 +1,394 @@
+#pragma once
+
+// This file provides two functions to help write elementwise kernels:
+//
+//   cpu_kernel(TensorIterator iter, <lambda>)
+//   cpu_kernel_vec(TensorIterator iter, <lambda>, <vec_lambda>)
+//
+// Both functions may generate vectorized code. The cpu_kernel implementation
+// relies on the compiler's auto-vectorization. The cpu_kernel_vec
+// implementation uses x86 SIMD intrinsics when available. These functions
+// are only intended to be used in the ATen/native/cpu subdirectory, since files
+// in other directories are not compiled with AVX/AVX2 enabled. See README.md
+// for more details.
+//
+// For example, to write a multiplication kernel for float:
+//
+//   cpu_kernel(iter, [](float a, float b) { return a * b; });
+//
+// Or you may write:
+//
+//   cpu_kernel_vec(iter,
+//     [](float a, float b) { return a * b; },
+//     [](Vectorized<float> a, Vectorized<float> b) { return a * b; });
+//
+// See BinaryOpsKernel.cpp for the complete implementation
+//
+//
+
+#include <stdint.h>
+#include <c10/util/C++17.h>
+#include <c10/util/Load.h>
+#include <c10/util/irange.h>
+#include <ATen/detail/FunctionTraits.h>
+#include <ATen/native/cpu/IsContiguous.h>
+#include <ATen/native/TensorIterator.h>
+#include <ATen/native/TensorIteratorDynamicCasting.h>
+#include <ATen/cpu/vec/vec.h>
+
+#include <utility>
+
+namespace at { namespace native { inline namespace CPU_CAPABILITY {
+
+using namespace vec;
+
+template <typename traits, std::size_t... INDEX>
+typename traits::ArgsTuple
+dereference_impl(char* C10_RESTRICT data[], const int64_t* strides, int64_t i,
+                 std::index_sequence<INDEX...>) {
+  return std::make_tuple(
+      c10::load<typename traits::template arg<INDEX>::type>(
+          data[INDEX] + i * strides[INDEX])...);
+}
+
+template <typename traits>
+typename traits::ArgsTuple
+dereference(char* C10_RESTRICT data[], const int64_t* strides, int64_t i) {
+  using Indices = std::make_index_sequence<traits::arity>;
+  return dereference_impl<traits>(data, strides, i, Indices{});
+}
+
+template <typename traits, std::size_t... INDEX>
+typename traits::ArgsTuple
+dereference_vec_impl(char* C10_RESTRICT data[],
+                     const typename traits::result_type& opt_scalar,
+                     size_t S,
+                     int64_t i,
+                     std::index_sequence<INDEX...>) {
+  using Vec = typename traits::result_type;
+  using scalar_t = typename Vec::value_type;
+  return std::make_tuple(
+      S == INDEX + 1 ?
+      opt_scalar :
+      Vec::loadu(data[INDEX] + i * sizeof(scalar_t))...);
+}
+
+template <typename traits>
+typename traits::ArgsTuple
+dereference_vec(char* C10_RESTRICT data[], const typename traits::result_type& opt_scalar, size_t S, int64_t i) {
+  using Indices = std::make_index_sequence<traits::arity>;
+  return dereference_vec_impl<traits>(data, opt_scalar, S, i, Indices{});
+}
+
+template <typename func_t,
+    typename std::enable_if<!std::is_void<typename function_traits<func_t>::result_type>::value>::type* = nullptr>
+static inline void
+execute_op(char* C10_RESTRICT data[], const int64_t* strides, int64_t i, int64_t n, func_t&& op) {
+  using traits = function_traits<func_t>;
+  using result_type = typename traits::result_type;
+  for (; i < n; i++) {
+    result_type* out_ptr = (result_type*)(data[0] + i * strides[0]);
+    *out_ptr = c10::guts::apply(std::forward<func_t>(op), dereference<traits>(
+        &data[1],
+        &strides[1],
+        i));
+  }
+}
+
+template <typename func_t,
+    typename std::enable_if<std::is_void<typename function_traits<func_t>::result_type>::value>::type* = nullptr>
+static inline void
+execute_op(char* C10_RESTRICT data[], const int64_t* strides, int64_t i, int64_t n, func_t&& op) {
+  using traits = function_traits<func_t>;
+  for (; i < n; i++) {
+    c10::guts::apply(std::forward<func_t>(op), dereference<traits>(
+        &data[0],
+        &strides[0],
+        i));
+  }
+}
+
+// Basic loop operation (one output, N inputs). May be auto-vectorized
+// by the compiler. Supports inputs and outputs of different types.
+template <typename func_t>
+static inline void
+basic_loop(char* C10_RESTRICT data[], const int64_t* strides_, int64_t i, int64_t n, func_t&& op) {
+  using traits = function_traits<func_t>;
+  constexpr int ntensors = traits::arity + 1;
+
+  // Copying strides to temporary array helps auto vectorization in older GCC
+  // versions.
+  int64_t strides[ntensors];
+  for (const auto arg : c10::irange(ntensors)) {
+    strides[arg] = strides_[arg];
+  }
+
+  execute_op(data, strides, i, n, std::forward<func_t>(op));
+}
+
+// the recursive variadic template for iterating over the returned tuple
+template<class T, size_t N>
+struct TupleOutput {
+  static void handle(char *C10_RESTRICT data[], const int64_t *strides, int64_t i,
+                     const T &tuple) {
+    TupleOutput<T, N - 1>::handle(data, strides, i, tuple);
+
+    auto output = std::get<N - 1>(tuple);
+    using output_type = decltype(output);
+    output_type * out_ptr = (output_type *)(data[N - 1] + i * strides[N - 1]);
+    *out_ptr = output;
+  }
+};
+
+// Base case for the above recursive template
+template<class T>
+struct TupleOutput<T, 1> {
+  static void handle(char *C10_RESTRICT data[], const int64_t *strides, int64_t i,
+                     const T &tuple) {
+    auto output = std::get<0>(tuple);
+    using output_type = decltype(output);
+    output_type* out_ptr = (output_type *)(data[0] + i * strides[0]);
+    *out_ptr = output;
+  }
+};
+
+template<class... Args>
+void handle_tuple_outputs(char* C10_RESTRICT data[],
+                          const int64_t* strides,
+                          int64_t i,
+                          const std::tuple<Args...> &tuple) {
+  TupleOutput<decltype(tuple), sizeof...(Args)>::handle(data, strides, i, tuple);
+}
+
+// Loop operation for `cpu_kernel_multiple_outputs`.
+// 1. Use `c10::guts::apply` to make dynamic method invocation
+//    for the lambda passed in `cpu_kernel_multiple_outputs`.
+// 2. Iterate over the members of the returned tuple, set the corresponding
+//    output tensor by the tuple member in `handle_tuple_outputs` function.
+template <typename func_t>
+static inline void
+multiple_outputs_loop(char* C10_RESTRICT data[], const int64_t* strides_, int64_t i, int64_t n, func_t&& op) {
+  using traits = function_traits<func_t>;
+
+  using result_type = typename traits::result_type;
+  constexpr int num_outputs = std::tuple_size<result_type>::value;
+  constexpr int ntensors = traits::arity + num_outputs;
+
+  // Copying strides to temporary array helps auto vectorization in older GCC
+  // versions.
+  int64_t strides[ntensors];
+  for (const auto arg : c10::irange(ntensors)) {
+    strides[arg] = strides_[arg];
+  }
+
+  for (; i < n; i++) {
+    auto output = c10::guts::apply(op, dereference<traits>(
+      &data[num_outputs],
+      &strides[num_outputs],
+      i));
+    handle_tuple_outputs(data, strides, i, output);
+  }
+}
+
+// Explicitly vectorized loop implementation. All inputs and outputs must be
+// the same type and contiguous with one exception: a single input may be
+// a scalar (stride 0). It's position is indicated by the argument `S`. If `S`
+// is 0, then there are no scalar inputs.
+template <typename func_t, typename vec_func_t>
+static inline void
+vectorized_loop(char** C10_RESTRICT data_, int64_t n, int64_t S, func_t&& op, vec_func_t&& vop) {
+  using traits = function_traits<vec_func_t>;
+  using scalar_t = typename function_traits<func_t>::result_type;
+  using Vec = Vectorized<scalar_t>;
+  constexpr int ntensors = traits::arity + 1;
+
+  char* C10_RESTRICT data[ntensors];
+  for (const auto arg : c10::irange(ntensors)) {
+    data[arg] = data_[arg];
+  }
+
+  Vec opt_scalar = Vec(S > 0 ? *(scalar_t*)data[S] : scalar_t(0));
+  int64_t i = 0;
+  for (; i <= n - 2 * Vec::size(); i += 2 * Vec::size()) {
+    auto args1 = dereference_vec<traits>(&data[1], opt_scalar, S, i);
+    auto args2 = dereference_vec<traits>(&data[1], opt_scalar, S, i + Vec::size());
+    auto out1 = c10::guts::apply(std::forward<vec_func_t>(vop), std::move(args1));
+    auto out2 = c10::guts::apply(std::forward<vec_func_t>(vop), std::move(args2));
+    out1.store(data[0] + i * sizeof(scalar_t));
+    out2.store(data[0] + (i + Vec::size()) * sizeof(scalar_t));
+  }
+  if (i < n) {
+    int64_t strides[ntensors];
+    for (const auto arg : c10::irange(ntensors)) {
+      strides[arg] = (S > 0 && arg == S) ? 0 : sizeof(scalar_t);
+    }
+    basic_loop(data, strides, i, n, std::forward<func_t>(op));
+  }
+}
+
+
+template <typename traits, typename cb_t>
+static inline void unroll_contiguous_scalar_checks(
+    const int64_t* /*strides*/,
+    std::index_sequence<>,
+    cb_t&& cb) {
+  cb(0);
+}
+
+template <typename traits, typename cb_t, size_t INDEX0, size_t ...INDEX>
+static inline void unroll_contiguous_scalar_checks(
+    const int64_t* strides,
+    std::index_sequence<INDEX0, INDEX...>,
+    cb_t&& cb) {
+  if (is_contiguous_scalar<traits, INDEX0 + 1>(strides)) {
+    cb(INDEX0 + 1);
+  } else {
+    unroll_contiguous_scalar_checks<traits>(strides, std::index_sequence<INDEX...>{}, std::forward<cb_t>(cb));
+  }
+}
+
+template <typename op_t, typename vop_t>
+struct VectorizedLoop2d {
+  op_t op;
+  vop_t vop;
+
+  using traits = function_traits<op_t>;
+  static constexpr int ntensors = traits::arity + 1;
+  using data_t = std::array<char*, ntensors>;
+
+  VectorizedLoop2d(const op_t &op, vop_t vop):
+    op(op), vop(std::move(vop)) {}
+
+  static void advance(data_t &data, const int64_t *outer_strides) {
+    for (const auto arg : c10::irange(data.size())) {
+      data[arg] += outer_strides[arg];
+    }
+  }
+
+  void operator()(char** base, const int64_t *strides, int64_t size0, int64_t size1) {
+    data_t data;
+    std::copy_n(base, ntensors, data.data());
+    const int64_t *outer_strides = &strides[ntensors];
+
+    if (is_contiguous<traits>(strides)) {
+      for (const auto i C10_UNUSED : c10::irange(size1)) {
+        vectorized_loop(data.data(), size0, 0, op, vop);
+        advance(data, outer_strides);
+      }
+    } else {
+      using Indices = std::make_index_sequence<traits::arity>;
+      unroll_contiguous_scalar_checks<traits>(strides, Indices{}, [&](size_t idx) {
+        if (idx) {
+          for (const auto i C10_UNUSED : c10::irange(size1)) {
+            vectorized_loop(data.data(), size0, idx, op, vop);
+            advance(data, outer_strides);
+          }
+        } else {
+          for (const auto i C10_UNUSED : c10::irange(size1)) {
+            basic_loop(data.data(), strides, 0, size0, op);
+            advance(data, outer_strides);
+          }
+        }
+      });
+    }
+  }
+};
+
+template <typename op_t, typename vop_t>
+VectorizedLoop2d<op_t, vop_t> make_vectorized_loop2d(
+    const op_t &op, const vop_t &vop) {
+  return VectorizedLoop2d<op_t, vop_t>(op, vop);
+}
+
+template <typename func_t>
+void cpu_kernel(TensorIteratorBase& iter, func_t&& op, int64_t grain_size = at::internal::GRAIN_SIZE) {
+  using traits = function_traits<func_t>;
+  // this could be extended to work with void return types
+  TORCH_INTERNAL_ASSERT(iter.ninputs() == traits::arity);
+  TORCH_INTERNAL_ASSERT(iter.noutputs() == 1);
+  // dynamic casting not currently supported on CPU
+  TORCH_INTERNAL_ASSERT(!needs_dynamic_casting<func_t>::check(iter));
+
+  iter.for_each([&](char** data, const int64_t* strides, int64_t n) {
+    // basic loop can handle 1d slices with arbitrary strides, and 1d slices is all that
+    // iter.for_each is ever sending to the loop lambda
+      basic_loop(data, strides, 0, n, std::forward<func_t>(op));
+  }, grain_size);
+  iter.cast_outputs();
+}
+
+// This function helps write elementwise kernels that requires multiple outputs.
+// It follows the similar structure of cpu_kernel.
+// Instead of `basic_loop` function, a new `multiple_outputs_loop` function is
+// manipulated to handle multiple return values.
+// For now `needs_dynamic_casting` check is not added as the passed lambda (`func_t`)
+// of `multiple_outputs_loop` returns `std::tuple` instead of `scalar_t`.
+// The `gpu_kernel_multiple_outputs` is also implemented without this check,
+// We could extend `needs_dynamic_casting` to support both `std::tuple` and
+// `thrust::tuple` in the future.
+template <typename func_t>
+void cpu_kernel_multiple_outputs(TensorIteratorBase& iter, func_t&& op, int64_t grain_size = at::internal::GRAIN_SIZE) {
+  using traits = function_traits<func_t>;
+  TORCH_INTERNAL_ASSERT(iter.ninputs() == traits::arity);
+
+  iter.for_each([&](char** data, const int64_t* strides, int64_t n) {
+    multiple_outputs_loop(data, strides, 0, n, std::forward<func_t>(op));
+  }, grain_size);
+  iter.cast_outputs();
+}
+
+template <bool check_dynamic_cast=true, typename func_t, typename vec_func_t>
+void cpu_kernel_vec(TensorIteratorBase& iter, func_t&& op, vec_func_t&& vop, int64_t grain_size = at::internal::GRAIN_SIZE) {
+  using traits = function_traits<func_t>;
+  // this could be extended to work with void return types
+  TORCH_INTERNAL_ASSERT(iter.ninputs() == traits::arity);
+  TORCH_INTERNAL_ASSERT(iter.noutputs() == 1);
+  // dynamic casting not currently supported on CPU, but some kernels (like Fill)
+  // explicitly dynamic_cast, so we give the opt-out of checking.
+  if constexpr (check_dynamic_cast) {
+    TORCH_INTERNAL_ASSERT(!needs_dynamic_casting<func_t>::check(iter));
+  }
+
+  iter.for_each(make_vectorized_loop2d(op, vop), grain_size);
+  iter.cast_outputs();
+}
+
+template <typename func_t>
+void cpu_serial_kernel(TensorIteratorBase& iter, func_t&& op, const Range& range) {
+  using traits = function_traits<func_t>;
+  constexpr bool result_void = std::is_void<typename traits::result_type>::value;
+  TORCH_INTERNAL_ASSERT(iter.ninputs() == traits::arity &&
+                        ((result_void && iter.noutputs() == 0) || (!result_void && iter.noutputs() == 1)));
+  // dynamic casting not currently supported on CPU
+  TORCH_INTERNAL_ASSERT(!needs_dynamic_casting<func_t>::check(iter));
+
+  iter.serial_for_each([&](char** data, const int64_t* strides, int64_t n) {
+    basic_loop(data, strides, 0, n, std::forward<func_t>(op));
+  }, range);
+  iter.cast_outputs();
+}
+
+template <typename func_t>
+void cpu_serial_kernel(TensorIteratorBase& iter, func_t&& op) {
+  cpu_serial_kernel(iter, op, {0, iter.numel()});
+}
+
+template <typename func_t, typename vec_func_t>
+void cpu_serial_kernel_vec(TensorIteratorBase& iter, func_t&& op, vec_func_t&& vop, const Range& range) {
+  using traits = function_traits<func_t>;
+  // this could be extended to work with void return types
+  TORCH_INTERNAL_ASSERT(iter.ninputs() == traits::arity);
+  TORCH_INTERNAL_ASSERT(iter.noutputs() == 1);
+  // dynamic casting not currently supported on CPU
+  TORCH_INTERNAL_ASSERT(!needs_dynamic_casting<func_t>::check(iter));
+
+  iter.serial_for_each(make_vectorized_loop2d(op, vop), range);
+  iter.cast_outputs();
+}
+
+template <typename func_t, typename vec_func_t>
+void cpu_serial_kernel_vec(TensorIteratorBase& iter, func_t&& op, vec_func_t&& vop) {
+  cpu_serial_kernel_vec(iter, op, vop, {0, iter.numel()});
+}
+
+}}}  // namespace at::native::<anonymous>

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cpu/MaxUnpoolKernel.h

@@ -0,0 +1,14 @@
+#pragma once
+#include <ATen/native/DispatchStub.h>
+
+namespace at {
+class Tensor;
+
+namespace native {
+
+using max_unpooling_fn = void(*)(Tensor&, const Tensor&, const Tensor&);
+
+DECLARE_DISPATCH(max_unpooling_fn, max_unpool2d_kernel);
+DECLARE_DISPATCH(max_unpooling_fn, max_unpool3d_kernel);
+
+}} // at::native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cpu/PixelShuffleKernel.h

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

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cpu/Reduce.h

@@ -0,0 +1,313 @@
+#pragma once
+
+#include <ATen/native/cpu/Loops.h>
+#include <ATen/Parallel.h>
+#include <c10/util/TypeList.h>
+#include <c10/core/Scalar.h>
+#include <c10/util/irange.h>
+
+#include <sstream>
+
+namespace at { namespace native { inline namespace CPU_CAPABILITY {
+
+using namespace vec;
+
+#define VEC_LOOP_HEADER(func_t, data) \
+  using scalar_t = typename function_traits<func_t>::result_type; \
+  using Vec = Vectorized<scalar_t>; \
+  char* out_ptr = data[0]; \
+  (void) out_ptr;
+
+// reduction that is contiguous over the input in dim 0
+template <typename traits>
+static inline bool is_contiguous_reduction(const int64_t* strides) {
+  return strides[0] == 0 &&
+         strides[1] == sizeof(typename traits::arg2_t);
+}
+
+// reduction that is contiguous over the input in dim 1
+template <typename traits>
+static inline bool is_outer_reduction(const int64_t* strides) {
+  return strides[0] == 0 &&
+         strides[2] == sizeof(typename traits::result_type) &&
+         strides[3] == sizeof(typename traits::arg2_t);
+}
+
+template <typename func_t, typename vec_func_t>
+static inline void vectorized_reduction(char** data, int64_t n, int64_t stride,
+                                        func_t op, vec_func_t vop, bool reduce) {
+  VEC_LOOP_HEADER(func_t, data)
+  const char* in1_ptr = data[1];
+  Vec acc[4];
+  for (const auto j : c10::irange(4)) {
+    acc[j] = Vec::loadu(in1_ptr + j * Vec::size() * sizeof(scalar_t));
+  }
+  for (const auto i : c10::irange(1, n)) {
+    const char* ptr = in1_ptr + stride * i;
+    acc[0] = vop(acc[0], Vec::loadu(ptr + (0 * Vec::size() * sizeof(scalar_t))));
+    acc[1] = vop(acc[1], Vec::loadu(ptr + (1 * Vec::size() * sizeof(scalar_t))));
+    acc[2] = vop(acc[2], Vec::loadu(ptr + (2 * Vec::size() * sizeof(scalar_t))));
+    acc[3] = vop(acc[3], Vec::loadu(ptr + (3 * Vec::size() * sizeof(scalar_t))));
+  }
+  if (reduce) {
+    scalar_t buffer[Vec::size()];
+    acc[0] = vop(vop(acc[0], acc[1]), vop(acc[2], acc[3]));
+    acc[0].store(buffer);
+    for (const auto j : c10::irange(1, Vec::size())) {
+      buffer[0] = op(buffer[0], buffer[j]);
+    }
+    auto dst = (scalar_t*)out_ptr;
+    *dst = op(*dst, buffer[0]);
+  } else {
+    for (const auto j : c10::irange(4)) {
+      auto dst = out_ptr + j * Vec::size() * sizeof(scalar_t);
+      acc[j] = vop(acc[j], Vec::loadu(dst));
+      acc[j].store(dst);
+    }
+  }
+}
+
+template <typename F>
+static inline void UNARY_OUTER_LOOP(char* data[2], const int64_t strides[2], int64_t n, F f) {
+  for (const auto j C10_UNUSED : c10::irange(n)) {
+    f();
+    data[0] += strides[0];
+    data[1] += strides[1];
+  }
+}
+
+// computes the reduction out = op(out, in)
+template <typename func_t, typename vec_func_t>
+static inline void vectorized_inner_reduction(char** data, int64_t n, func_t op, vec_func_t vop) {
+  VEC_LOOP_HEADER(func_t, data)
+  int64_t vector_stride = 4 * Vec::size() * sizeof(scalar_t);
+  int64_t count = n / (4 * Vec::size());
+  if (count > 0) {
+    vectorized_reduction(data, count, vector_stride, op, vop, /*reduce=*/true);
+  }
+  char* ptrs[3] = { data[0], data[0], data[1] };
+  int64_t strides[] = { 0, 0, sizeof(scalar_t) };
+  basic_loop(ptrs, strides, count * 4 * Vec::size(), n, op);
+}
+
+// computes the reduction out = op(out, in)
+template <typename func_t, typename vec_func_t>
+static inline void vectorized_outer_reduction(char** data, int64_t inner_stride, int64_t size0, int64_t size1, func_t op, vec_func_t vop) {
+  VEC_LOOP_HEADER(func_t, data)
+
+  // reduce down each column of 4 * Vec::size() elements (128 or 256 bytes)
+#if defined(CPU_CAPABILITY_AVX512)
+  int64_t outer_stride[2] = { 256, 256 };
+#else
+  int64_t outer_stride[2] = { 128, 128 };
+#endif
+  UNARY_OUTER_LOOP(data, outer_stride, size1 / (4 * Vec::size()), [&] {
+    vectorized_reduction(data, size0, inner_stride, op, vop, /*reduce=*/false);
+  });
+
+  // reduce down the remaining columns
+  int64_t step[] = { sizeof(scalar_t), sizeof(scalar_t) };
+  int64_t remaining = size1 % (4 * Vec::size());
+  UNARY_OUTER_LOOP(data, step, remaining, [&] {
+    char* ptrs[3] = { data[0], data[0], data[1] };
+    int64_t strides[] = { 0, 0, inner_stride };
+    basic_loop(ptrs, strides, 0, size0, op);
+  });
+}
+
+template<typename traits, typename res_t>
+static void set_result(const int index, const res_t result, const TensorIteratorBase &iter, const int num_outputs) {
+  // static_assert(std::is_same<res_t, typename traits::arg2_t>::value, "data types must match");
+  if (index < num_outputs) {
+    char *out = (char *) iter.data_ptr(index);
+    *(res_t *) out = result;
+  }
+}
+
+template<typename traits, typename res_t>
+static void set_results(const res_t result, const TensorIteratorBase &iter, const int num_outputs) {
+  AT_ASSERT(num_outputs == 1);
+  set_result<traits>(0, result, iter, num_outputs);
+}
+
+template<typename traits, std::size_t i = 0, typename... tuple_t>
+static inline typename std::enable_if<i == sizeof...(tuple_t), std::size_t>::type
+for_each_in_tuple(const std::tuple<tuple_t...>& /*t*/, const TensorIteratorBase& /*iter*/, const int /*num_outputs*/) {
+  return i;
+}
+
+template<typename traits, std::size_t i = 0, typename... tuple_t>
+static inline typename std::enable_if<i < sizeof...(tuple_t), std::size_t>::type
+for_each_in_tuple(const std::tuple<tuple_t...>& t, const TensorIteratorBase &iter, const int num_outputs) {
+  if (i < (size_t)num_outputs) {
+    set_result<traits>(i, std::get<i>(t), iter, num_outputs);
+    return for_each_in_tuple<traits, i + 1, tuple_t...>(t, iter, num_outputs);
+  }
+  return i;
+}
+
+template<typename traits, typename... res_t>
+static void set_results(const std::tuple<res_t...>& result, const TensorIteratorBase &iter, const int num_outputs) {
+  AT_ASSERT(num_outputs >= 1);
+  std::size_t result_size = for_each_in_tuple<traits>(result, iter, num_outputs);
+  AT_ASSERT((size_t)num_outputs == result_size);
+}
+
+template <typename T, typename... Args>
+struct all_same : guts::conjunction<
+  std::is_same<T, Args>...
+> {};
+
+// data_t is the input/output data type.
+// acc_t is a type that contains all the necessary data
+// to continue reducing.
+// index_t is a one-dimensional index
+//
+// ops_t is such that &ops_t::reduce, &ops_t::combine, and &ops_t::project exist and satisfy
+// the following.
+// reduce: (acc_t, data_t, index_t) -> acc_t adds one data point to the accumulated value.
+// combine: (acc_t, acc_t) -> acc_t combines two accumulated values into one.
+// project: acc_t -> out_t finishes the reduction, getting the required output.
+//
+// Additionally, acc_t must be default-constructible:
+// acc_t {} is an identity for combine,
+// and project(acc_t {}) is the value of the operation on zero elements.
+//
+// The point of `combine` is to support parallelization -
+// the idea is to one sequence of `reduce` calls per thread of execution,
+// and then to combine them at the end with `combine`.
+//
+// If there is more than one output element,
+// our parallelization strategy is to use one thread for each of them,
+// which means that `combine` will never be called.
+//
+// If, on the other hand, there is only one, then we split the input into
+// into several pieces, reduce each separately, and then combine them.
+
+template <typename ops_t, typename init_t>
+void binary_kernel_reduce(TensorIteratorBase& iter, ops_t ops, init_t init) {
+  using rf_t = decltype(&ops_t::reduce);
+  using cf_t = decltype(&ops_t::combine);
+  using pf_t = decltype(&ops_t::project);
+  using r_traits = binary_function_traits<rf_t>;
+  using c_traits = binary_function_traits<cf_t>;
+  using p_traits = unary_function_traits<pf_t>;
+  using acc_t = typename p_traits::arg1_t;
+  using data_t = typename r_traits::arg2_t;
+  static_assert(
+    all_same<
+      acc_t,
+      init_t,
+      typename r_traits::arg1_t,
+      typename r_traits::result_type,
+      typename c_traits::arg1_t,
+      typename c_traits::arg2_t,
+      typename c_traits::result_type>::value,
+    "all accumulate types must match");
+  static_assert(
+    std::is_default_constructible<acc_t>::value,
+    "the accumulate type must be default-constructible"
+  );
+  const int num_outputs = iter.noutputs();
+  iter.foreach_reduced_elt([&ops, &init, num_outputs](TensorIteratorBase &sub_iter) {
+    auto reduction_body = [&ops, &sub_iter, num_outputs](acc_t acc, int64_t begin, int64_t end) -> acc_t {
+      int ntensors = sub_iter.ntensors();
+      sub_iter.serial_for_each([&acc, &ops, num_outputs, ntensors, begin](char** data, const int64_t* strides, int64_t size) {
+        AT_ASSERT(ntensors - num_outputs == 1);
+        char *in = data[ntensors - 1];
+        int64_t stride = strides[ntensors - 1];
+        for (const auto i : c10::irange(size)) {
+          acc = ops.reduce(acc, c10::load<data_t>(in), begin + i);
+          in += stride;
+        }
+      }, {begin, end});
+      return ops.translate_idx(acc, sub_iter.view_offsets()[0]);
+    };
+    acc_t total_acc = init;
+    auto numel = sub_iter.numel();
+    if (numel < at::internal::GRAIN_SIZE || at::get_num_threads() == 1 ||
+        at::in_parallel_region()) {
+      total_acc = reduction_body(total_acc, 0, numel);
+    } else {
+      int max_threads = at::get_num_threads();
+      AT_ASSERT(max_threads > 0);
+      static_assert(
+        !std::is_same<acc_t, bool>::value,
+        "Concurrently modifying different references into std::vector<bool> is UB."
+      );
+      std::vector<acc_t> buffer((unsigned)max_threads, init);
+      at::parallel_for(0, numel, internal::GRAIN_SIZE,
+        [&](int64_t begin, int64_t end) {
+          auto& acc = buffer[at::get_thread_num()];
+          acc = reduction_body(acc, begin, end);
+        }
+      );
+      for (const auto i : c10::irange(max_threads)) {
+        total_acc = ops.combine(total_acc, buffer[i]);
+      }
+    }
+    set_results<r_traits>(ops.project(total_acc), sub_iter, num_outputs);
+  });
+}
+
+template <typename func_t, typename vec_func_t>
+void binary_kernel_reduce_vec(TensorIteratorBase& iter, func_t op, vec_func_t vop, double ident = 0) {
+  using traits = binary_function_traits<func_t>;
+  static_assert(
+    all_same<
+      typename traits::result_type,
+      typename traits::arg1_t,
+      typename traits::arg2_t>::value,
+    "all types must match");
+
+  iter.output_base().fill_(ident);
+  iter.parallel_reduce([&](char** data, const int64_t* strides, int64_t size0, int64_t size1) {
+    int64_t outer_strides[] = { strides[2], strides[3] };
+    if (is_contiguous_reduction<traits>(strides)) {
+      // input is contiguous in dim 0, output is reduced in dim 0
+      UNARY_OUTER_LOOP(data, outer_strides, size1, [&] {
+        vectorized_inner_reduction(data, size0, op, vop);
+      });
+    } else if (is_outer_reduction<traits>(strides)) {
+      // input and output are contiguous in dim 1
+      int64_t inner_stride = strides[1]; // stride of input in dim 0
+      vectorized_outer_reduction(data, inner_stride, size0, size1, op, vop);
+    } else {
+      UNARY_OUTER_LOOP(data, outer_strides, size1, [&] {
+        char* ptrs[3] = { data[0], data[0], data[1] };
+        int64_t inner_strides[3] = { strides[0], strides[0], strides[1] };
+        basic_loop(ptrs, inner_strides, 0, size0, op);
+      });
+    }
+  });
+}
+
+// when reduction is on most inner dimension (dim 0 in TensorIterator)
+// and input has contiguous most inner dimension, `binary_kernel_reduce_lastdim`
+// can be used.
+static inline bool is_reduce_lastdim(TensorIteratorBase& iter) {
+  return iter.num_reduce_dims() == 1 && iter.is_dim_reduced(0)
+      && iter.ninputs() == 1 && iter.strides(1)[0] == iter.element_size(1);
+}
+
+template <typename reduce_func_t>
+void binary_kernel_reduce_lastdim(TensorIteratorBase& iter, reduce_func_t reduce_op) {
+  auto shape = iter.shape();
+  int64_t dim_size = shape[0];
+  int64_t grain_size = std::max((int64_t) 1, at::internal::GRAIN_SIZE / dim_size);
+  TensorIterator sub_iter(iter);
+  // create sub iterator to parallel on all non-reduce-dims
+  sub_iter.narrow(0, 0, 1);
+  auto loop = [&](char** data, const int64_t* strides, int64_t size) {
+    char* out = data[0];
+    char* in = data[1];
+    for (int64_t i = 0; i < size; ++i) {
+      reduce_op(out, in, dim_size);
+      out += strides[0];
+      in += strides[1];
+    }
+  };
+  sub_iter.for_each(loop, grain_size);
+}
+
+}}}  // namespace at::native::<anonymous>

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cpu/SampledAddmmKernel.h

@@ -0,0 +1,12 @@
+#pragma once
+
+#include <ATen/core/Tensor.h>
+#include <ATen/native/DispatchStub.h>
+
+namespace at { namespace native {
+
+using sampled_addmm_sparse_csr_fn = void(*)(const Tensor&, const Tensor&, const Scalar&, const Scalar&, const Tensor&);
+
+DECLARE_DISPATCH(sampled_addmm_sparse_csr_fn, sampled_addmm_sparse_csr_stub);
+
+}} // at::native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cpu/SerialStackImpl.h

@@ -0,0 +1,144 @@
+// Copyright 2004-present Facebook. All Rights Reserved.
+#pragma once
+
+#include <ATen/core/Tensor.h>
+
+#include <ATen/MemoryOverlap.h>
+#include <ATen/Parallel.h>
+#include <ATen/TensorIterator.h>
+#include <ATen/cpu/vec/functional.h>
+#include <ATen/cpu/vec/vec.h>
+#include <c10/util/irange.h>
+
+namespace at { namespace native { namespace detail {
+
+struct InputMeta {
+  void* data_ptr;
+  int64_t inner_size;
+
+  InputMeta(const Tensor& t, int64_t dim, int64_t inner)
+      : data_ptr(t.data_ptr()), inner_size(t.sizes()[dim] * inner) {}
+};
+
+// This kernel is used by two TensorList types:
+// 1. stack_serial_kernel uses at::ArrayRef<Tensor>
+// 2. Static runtime calls this kernel directly (csrc/jit/runtime/static/ops.cpp) with
+//    ProcessedNodeInputWrapper.
+// When making changes, make sure that they are compatible with both types!
+template <typename scalar_t, typename TensorListType>
+void stack_serial_kernel_impl(Tensor& result, TensorListType tensors, int64_t dim) {
+  TORCH_INTERNAL_ASSERT_DEBUG_ONLY(
+      dim >= 0 && dim <= result.dim(),
+      "dim out of range in stack_serial_kernel_impl");
+  int64_t outer =
+      result.numel() / (result.sizes()[dim] * result.strides()[dim]);
+  scalar_t* result_data = result.data_ptr<scalar_t>();
+  int64_t ninputs = tensors.size();
+  std::vector<InputMeta> inputs;
+  inputs.reserve(ninputs);
+  for (const auto& tensor : tensors) {
+    inputs.emplace_back(tensor, dim, tensor.strides()[dim]);
+  }
+
+  using Vec = vec::Vectorized<scalar_t>;
+  scalar_t* result_ptr = result_data;
+  for (const auto i : c10::irange(outer)) {
+    for (const auto j : c10::irange(ninputs)) {
+      int64_t local_inner = inputs[j].inner_size;
+      scalar_t* input_ptr = (scalar_t*)(inputs[j].data_ptr) + i * local_inner;
+
+      if (local_inner < Vec::size()) {
+        for (const auto k : c10::irange(local_inner)) {
+          result_ptr[k] = input_ptr[k];
+        }
+      } else {
+        vec::map(
+            [](Vec x) { return x; }, result_ptr, input_ptr, local_inner);
+      }
+      result_ptr += local_inner;
+    }
+  }
+}
+
+// Checks to see whether native stack can be invoked under these conditions:
+// - result and input tensors are contiguous
+// - only one thread is used
+// - no type promotion has to occur
+// - tensors dtype is Double or Float
+template <typename TensorListType>
+bool can_use_native_serial_stack_impl(Tensor& result, TensorListType tensors, int64_t dim) {
+  TORCH_CHECK(tensors.size() > 0, "expected a non-empty list of Tensors");
+  const Tensor& first_tensor = tensors[0];
+  // stack dimension should be in range [0,firstTensor.dim())
+  // dim == firstTensor.dim() is a valid input, but it is handled by default code path
+  // that uses unsqueeze
+  if (dim >= first_tensor.dim()) return false;
+  // Native stack doesn't apply any tensor is skipped.
+  if (first_tensor.numel() == 0 && first_tensor.dim() == 1) return false;
+  // there should be no type promotion
+  if (result.dtype() != first_tensor.dtype()) return false;
+
+  auto first_tensor_mem_format = first_tensor.suggest_memory_format();
+  ScalarType dtype = first_tensor.scalar_type();
+
+  if (!result.is_contiguous(first_tensor_mem_format)) {
+    return false;
+  }
+
+  // fast path only works for Double and Float
+  if (dtype != ScalarType::Double && dtype != ScalarType::Float) {
+    return false;
+  }
+
+  // check remainder of inputs
+  auto const &first_tensor_shape = first_tensor.sizes();
+  for (const auto i : c10::irange(1, tensors.size())) {
+    auto const &tensor = tensors[i];
+    TORCH_CHECK(tensors[i].sizes() == first_tensor.sizes(),
+      "stack expects each tensor to be equal size, but got ", first_tensor_shape,
+      " at entry 0 and ", tensor.sizes(), " at entry ", i);
+
+    // every tensor must be contiguous
+    // tensor sizes and strides must be the same
+    // there should be no type promotion
+    if (!tensor.is_contiguous(first_tensor_mem_format) ||
+      tensor.strides() != first_tensor.strides() ||
+      tensor.dtype() != dtype) {
+      return false;
+    }
+  }
+
+  // fast native stack should only be used when it is not worth using multiple threads
+  // or there is only one thread. Note that we aren't checking result.numel() here because
+  // it may not have been resized and we want to defer that cost till later.
+  int64_t numel_in_stack = first_tensor.numel() * tensors.size();
+  return numel_in_stack < at::internal::GRAIN_SIZE || at::get_num_threads() == 1;
+}
+
+template <typename TensorListType, bool should_skip_overlap_check>
+struct CanUseNativeSerialStack;
+
+template <typename TensorListType>
+struct CanUseNativeSerialStack<TensorListType, false> {
+  static bool call(Tensor& result, TensorListType tensors, int64_t dim) {
+    // Inputs cannot alias the output tensor
+    for (const auto i : c10::irange(tensors.size())) {
+      auto lap = at::get_overlap_status(result, tensors[i]);
+      TORCH_CHECK(lap != at::MemOverlapStatus::Partial &&
+          lap != at::MemOverlapStatus::Full, 0,
+          "unsupported operation: the input tensors cannot refer to any of the "
+          "output memory locations. Found overlap in input tensor ", i);
+    }
+
+    return can_use_native_serial_stack_impl(result, tensors, dim);
+  }
+};
+
+template <typename TensorListType>
+struct CanUseNativeSerialStack<TensorListType, true> {
+  static bool call(Tensor& result, TensorListType tensors, int64_t dim) {
+    return can_use_native_serial_stack_impl(result, tensors, dim);
+  }
+};
+
+}}}  // namespace at::native::detail

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cpu/UpSampleKernelAVXAntialias.h

@@ -0,0 +1,1376 @@
+/*
+The Python Imaging Library (PIL) is
+
+    Copyright © 1997-2011 by Secret Labs AB
+    Copyright © 1995-2011 by Fredrik Lundh
+
+Pillow is the friendly PIL fork. It is
+
+    Copyright © 2010-2022 by Alex Clark and contributors
+
+Like PIL, Pillow is licensed under the open source HPND License
+*/
+
+// This code is heavily inspired from PILLOW-SIMD's implementation:
+// https://github.com/uploadcare/pillow-simd/blob/simd/master/src/libImaging/Resample.c
+
+#pragma once
+#ifdef CPU_CAPABILITY_AVX2
+// TODO: This file only supports AVX2. We could split the AVX kernels into
+// smaller logical blocks in order to port them into the Vec.h logic. This would
+// allow to support other vectorization architectures and perhaps also support
+// the non-vectorized fallback (we'd need to make sure it's not slower than the
+// current fallback).
+
+#include <ATen/core/Tensor.h>
+#include <ATen/cpu/vec/intrinsics.h>
+#include <c10/util/irange.h>
+
+#ifndef AT_PER_OPERATOR_HEADERS
+#include <ATen/Functions.h>
+#else
+#include <ATen/ops/empty.h>
+#endif
+
+
+namespace {
+
+static inline __m128i mm_cvtsi32_si128(const uint8_t* C10_RESTRICT ptr, bool i32_aligned) {
+  int32_t v;
+  if (i32_aligned) {
+    v = *(const int32_t*)ptr;
+  } else {
+    std::memcpy(&v, ptr, 4);
+  }
+  return _mm_cvtsi32_si128(v);
+}
+
+static inline __m128i mm_cvtepu8_epi32(const uint8_t* C10_RESTRICT ptr, bool i32_aligned) {
+  return _mm_cvtepu8_epi32(mm_cvtsi32_si128(ptr, i32_aligned));
+}
+
+static inline void _write_endline_rgb_as_uint32(
+    uint8_t* C10_RESTRICT output,
+    uint32_t data
+) {
+  // data is (R G B X), output is (X1 X2 X3 | R1 B1 G1 R2 ...)
+  // Here we explicitly set X as R1
+  uint8_t* data_ptr = reinterpret_cast<uint8_t*>(&data);
+  data_ptr[3] = output[3];
+  std::memcpy(output, data_ptr, 4);
+}
+
+at::Tensor unpack_rgb(const at::Tensor& packed_tensor) {
+  // Convert a "packed" tensor (typically RGBRGBRGB if channels_last) into
+  // RGBARGBARGBA format where A is hard-coded to 0. Each pixel is encoded
+  // into as 32 bits. This generalizes to num_channels <= 4 and also works for
+  // non-channels_last tensors.
+
+  const uint8_t* packed = (const uint8_t*)packed_tensor.data_ptr<uint8_t>();
+  auto num_pixels = packed_tensor.size(1) * packed_tensor.size(2);
+  auto num_channels = packed_tensor.size(0);
+
+  constexpr int rgba_size = 4;
+  auto unpacked_tensor = at::empty({rgba_size, packed_tensor.size(1), packed_tensor.size(2)}, at::CPU(at::kByte));
+  uint8_t* unpacked = (uint8_t*) unpacked_tensor.data_ptr<uint8_t>();
+
+  auto stride_i = packed_tensor.stride(2);
+  auto stride_j = packed_tensor.stride(0);
+
+  for (const auto i : c10::irange(num_pixels)) {
+    for (const auto j : c10::irange(rgba_size)) {
+      unpacked[rgba_size * i + j] = (j < num_channels) ? packed[stride_i * i + stride_j * j] : 0;
+    }
+  }
+  return unpacked_tensor;
+}
+
+void pack_rgb(
+    const at::Tensor& unpacked_tensor, // IN
+    const at::Tensor& packed_tensor // OUT
+) {
+  // Convert from unpacked channels last 3-channels or 4-channels tensor into original data layout.
+
+  uint8_t* unpacked = (uint8_t*)unpacked_tensor.data_ptr<uint8_t>();
+  uint8_t* packed = (uint8_t*)packed_tensor.data_ptr<uint8_t>();
+  auto num_pixels = packed_tensor.size(1) * packed_tensor.size(2);
+  auto num_channels = packed_tensor.size(0);
+
+  auto unpacked_increment = unpacked_tensor.size(0);
+  auto packed_increment = packed_tensor.stride(2);
+  auto packed_stride = packed_tensor.stride(0);
+
+  TORCH_INTERNAL_ASSERT(unpacked_increment == 3 || unpacked_increment == 4);
+
+  for (const auto i C10_UNUSED : c10::irange(num_pixels)) {
+    for (const auto j : c10::irange(num_channels)) {
+      packed[j * packed_stride] = unpacked[j];
+    }
+    unpacked += unpacked_increment;
+    packed += packed_increment;
+  }
+}
+
+void ImagingResampleHorizontalConvolution8u4x(
+    uint8_t* C10_RESTRICT lineOut0,
+    uint8_t* C10_RESTRICT lineOut1,
+    uint8_t* C10_RESTRICT lineOut2,
+    uint8_t* C10_RESTRICT lineOut3,
+    int64_t out_xsize,
+    const uint8_t* C10_RESTRICT lineIn0,
+    const uint8_t* C10_RESTRICT lineIn1,
+    const uint8_t* C10_RESTRICT lineIn2,
+    const uint8_t* C10_RESTRICT lineIn3,
+    int64_t in_xsize,
+    const int64_t* idx_ptr_xmin,
+    const int64_t* idx_ptr_size,
+    const int16_t* kk,
+    int kmax,
+    unsigned int coefs_precision,
+    int64_t num_channels,
+    bool is_last_line);
+
+void ImagingResampleHorizontalConvolution8u(
+    uint8_t* C10_RESTRICT lineOut,
+    int64_t out_xsize,
+    const uint8_t* C10_RESTRICT lineIn,
+    int64_t in_xsize,
+    const int64_t* idx_ptr_xmin,
+    const int64_t* idx_ptr_size,
+    const int16_t* kk,
+    int kmax,
+    unsigned int coefs_precision,
+    int64_t num_channels,
+    bool is_last_line);
+
+void ImagingResampleVerticalConvolution8u(
+    uint8_t* C10_RESTRICT lineOut,
+    const uint8_t* C10_RESTRICT lineIn,
+    int64_t xsize,
+    int64_t ids_min,
+    int64_t ids_size,
+    const int16_t* k,
+    unsigned int coefs_precision,
+    int64_t num_channels);
+
+template<int num_channels>
+void ImagingResampleHorizontal(
+    const at::Tensor & unpacked_output,
+    const at::Tensor & unpacked_input,
+    int ksize,
+    const std::vector<at::Tensor>& horiz_indices_weights,
+    unsigned int horiz_weights_precision) {
+
+  // Interpolation horizontal pass: we compute x-axis (image width) interpolation outputs.
+
+  // Input data is stored as
+  //   input = [r[0], g[0], b[0], a[0], r[1], g[1], b[1], a[1], r[2], g[2], b[2], a[2], ...]
+  // Weights are float values computed for each output pixel and rescaled to uint16:
+  //   weights[i] = [w[i, 0], w[i, 1], ..., w[i, K-1]]
+  // We want to compute the output as following:
+  //   output = [oR[0], oG[0], oB[0], oA[0], oR[1], oG[1], oB[1], oA[1], ...]
+  // where
+  //   oR[yoffset + i] = r[yoffset + xmin[i]] * w[i, 0] + ... + r[yoffset + xmin[i] + K-1] * w[i, K-1]
+  //   oG[yoffset + i] = g[yoffset + xmin[i]] * w[i, 0] + ... + g[yoffset + xmin[i] + K-1] * w[i, K-1]
+  //   oB[yoffset + i] = b[yoffset + xmin[i]] * w[i, 0] + ... + b[yoffset + xmin[i] + K-1] * w[i, K-1]
+  //
+
+  // TODO: we may want to merge that into the fallback code (currently called
+  // basic_loop_aa_horizontal<uint8_t>)
+  // Although this may not be needed if / when we port all this code to use
+  // Vec.h since this would potentially give us another fall-back implem
+
+  const int16_t* kk = (int16_t*)(horiz_indices_weights[3].data_ptr<double>());
+
+  auto xout = unpacked_output.size(2);
+  auto yout = unpacked_output.size(1);
+  auto xin = unpacked_input.size(2);
+  TORCH_INTERNAL_ASSERT(num_channels == unpacked_input.size(0));
+
+  const int64_t* idx_ptr_xmin = horiz_indices_weights[0].data_ptr<int64_t>();
+  const int64_t* idx_ptr_size = horiz_indices_weights[1].data_ptr<int64_t>();
+
+  uint8_t* unpacked_output_p = unpacked_output.data_ptr<uint8_t>();
+  const uint8_t* unpacked_input_p = unpacked_input.data_ptr<uint8_t>();
+
+  int64_t yy = 0;
+  auto xout_stride = xout * num_channels;
+  auto xin_stride = xin * num_channels;
+  for (; yy < yout - 3; yy += 4) {
+    ImagingResampleHorizontalConvolution8u4x(
+        unpacked_output_p + yy * xout_stride,
+        unpacked_output_p + (yy + 1) * xout_stride,
+        unpacked_output_p + (yy + 2) * xout_stride,
+        unpacked_output_p + (yy + 3) * xout_stride,
+        xout,
+        unpacked_input_p + yy * xin_stride,
+        unpacked_input_p + (yy + 1) * xin_stride,
+        unpacked_input_p + (yy + 2) * xin_stride,
+        unpacked_input_p + (yy + 3) * xin_stride,
+        xin,
+        idx_ptr_xmin,
+        idx_ptr_size,
+        kk,
+        ksize,
+        horiz_weights_precision,
+        num_channels,
+        yy + 3 == yout - 1);
+  }
+  for (; yy < yout; yy++) {
+    ImagingResampleHorizontalConvolution8u(
+        unpacked_output_p + yy * xout_stride,
+        xout,
+        unpacked_input_p + yy * xin_stride,
+        xin,
+        idx_ptr_xmin,
+        idx_ptr_size,
+        kk,
+        ksize,
+        horiz_weights_precision,
+        num_channels,
+        yy == yout - 1);
+  }
+}
+
+void ImagingResampleVertical(
+    const at::Tensor & unpacked_output,
+    const at::Tensor & unpacked_input,
+    int ksize,
+    const std::vector<at::Tensor>& vert_indices_weights,
+    unsigned int vert_weights_precision) {
+
+  // Interpolation vertical pass: we compute y-axis interpolation outputs.
+  // Input data is stored as
+  //   input = [r[0], g[0], b[0], a[0], r[1], g[1], b[1], a[1], r[2], g[2], b[2], a[2], ...]
+  // Weights are float values computed for each output pixel and rescaled to uint16:
+  //   weights[i] = [w[i, 0], w[i, 1], ..., w[i, K-1]]
+  // We want to compute the output as following:
+  //   output = [oR[0], oG[0], oB[0], oA[0], oR[1], oG[1], oB[1], oA[1], ...]
+  // where
+  //   oR[xoffset + i] = r[xoffset + ymin[i]] * w[i, 0] + ... + r[xoffset + ymin[i] + (K-1) * xsize] * w[i, K-1]
+  //   oG[xoffset + i] = g[xoffset + ymin[i]] * w[i, 0] + ... + g[xoffset + ymin[i] + (K-1) * xsize] * w[i, K-1]
+  //   oB[xoffset + i] = b[xoffset + ymin[i]] * w[i, 0] + ... + b[xoffset + ymin[i] + (K-1) * xsize] * w[i, K-1]
+
+  // TODO: we may want to merge that into the fallback code (currently called
+  // basic_loop_aa_vertical<uint8_t>)
+  // Although this may not be needed if / when we port all this code to use
+  // Vec.h since this would potentially give us another fall-back implem
+  const int16_t* kk = (int16_t*)(vert_indices_weights[3].data_ptr<double>());
+
+  const int64_t* idx_ptr_xmin = vert_indices_weights[0].data_ptr<int64_t>();
+  const int64_t* idx_ptr_size = vert_indices_weights[1].data_ptr<int64_t>();
+
+  uint8_t* unpacked_output_p = unpacked_output.data_ptr<uint8_t>();
+  const uint8_t* unpacked_input_p = unpacked_input.data_ptr<uint8_t>();
+
+  auto xout = unpacked_output.size(2);
+  auto yout = unpacked_output.size(1);
+  const auto num_channels = unpacked_input.size(0);
+  TORCH_INTERNAL_ASSERT(num_channels == unpacked_output.size(0));
+
+  auto xout_stride = xout * num_channels;
+  for (const auto yy : c10::irange(yout)) {
+    const auto* k = &kk[yy * ksize];
+    auto ids_min = idx_ptr_xmin[yy];
+    auto ids_size = idx_ptr_size[yy];
+    ImagingResampleVerticalConvolution8u(
+        unpacked_output_p + yy * xout_stride,
+        unpacked_input_p,
+        xout,
+        ids_min,
+        ids_size,
+        k,
+        vert_weights_precision,
+        num_channels);
+  }
+}
+
+// This is the only public entry point in this file.  It supports bilinear or bicubic
+// mode for uint8 dtype when C <= 4, with or without antialias. The
+// implem is based on PIL-SIMD.
+// Its equivalent implementation (fallback) for when AVX isn't supported or when
+// C > 4 is separable_upsample_generic_Nd_kernel_impl()  There are a bunch of
+// future improvement that can be done: look for the TODOs in this file.
+// For details on how the weights are computed and how the multiplications are
+// run on int (instead of float weights), see
+// [ Weights computation for uint8_t and multiplication trick ]
+// For details on how the AVX kernels are implemented, see
+// https://gist.github.com/NicolasHug/47c97d731f05eaad5694c173849b86f5
+// See also [ Support for antialias=False as a subcase of antilias=True ] to
+// learn more about how the antialias=False case is computed. The same holds
+// here: all these kernels are general enough to handle an arbitrary number of
+// weights, but when aa=False they could be optimized further.
+template <typename scale_type, class F>
+void upsample_avx_bilinear_bicubic_uint8(
+    const at::Tensor& input_,
+    const at::Tensor& output,
+    bool align_corners,
+    const scale_type& scales,
+    bool antialias) {
+  auto batch_size = input_.size(0);
+  auto num_channels = input_.size(1);
+  auto xin = input_.size(3);
+  auto yin = input_.size(2);
+  auto xout = output.size(3);
+  auto yout = output.size(2);
+
+  if (xin == xout && yin == yout) {
+    output.copy_(input_);
+    return;
+  }
+
+  at::Tensor input = input_;
+  if (!(input.is_contiguous() || input.is_contiguous(at::MemoryFormat::ChannelsLast))) {
+    // If input is not contiguous with memory format channels first or channels last,
+    // we explicitly convert the input to contiguous channels last memory format.
+    // This simplifies the rest of the code and let us assume that the format is only contiguous channels first or channels last,
+    // Most tensors going through this `if` block won't need to go through unpacking, but those having C < 3 may
+    // have to (this means 2 copies are made). We could avoid the extra copy by handling non-contiguous input
+    // directly within unpack_rgb() and pack_rgb(), but initial attempts showed that this is fairly complex.
+    input = input.contiguous(at::MemoryFormat::ChannelsLast);
+  }
+
+  auto need_horizontal = xout != xin;
+  auto need_vertical = yout != yin;
+
+  int ksize_horiz, ksize_vert;
+  std::vector<at::Tensor> horiz_indices_weights, vert_indices_weights;
+  unsigned int horiz_weights_precision, vert_weights_precision;
+
+  bool skip_unpacking = (num_channels == 3 || num_channels == 4) && input.is_contiguous(at::MemoryFormat::ChannelsLast);
+  bool skip_packing = (num_channels == 3 || num_channels == 4) && output.is_contiguous(at::MemoryFormat::ChannelsLast);
+
+  if (need_horizontal) {
+    int interp_dim = 3;
+    auto stride = (skip_unpacking) ? num_channels : 4;
+    std::tie(horiz_indices_weights, ksize_horiz, horiz_weights_precision) =
+        F::compute_indices_int16_weights_aa(
+            /*input_size=*/xin,
+            /*output_size=*/xout,
+            /*stride=*/stride,
+            /*ndims=*/4,
+            /*reshape_dim=*/interp_dim,
+            /*align_corners=*/align_corners,
+            /*opt_scale=*/scales[interp_dim - 2],
+            /*antialias=*/antialias,
+            /*align_i32=*/true);
+  }
+
+  if (need_vertical) {
+    int interp_dim = 2;
+    auto stride = (skip_unpacking) ? num_channels * xout : 4 * xout;
+    std::tie(vert_indices_weights, ksize_vert, vert_weights_precision) =
+        F::compute_indices_int16_weights_aa(
+            /*input_size=*/yin,
+            /*output_size=*/yout,
+            /*stride=*/stride,
+            /*ndims=*/4,
+            /*reshape_dim=*/interp_dim,
+            /*align_corners=*/align_corners,
+            /*opt_scale=*/scales[interp_dim - 2],
+            /*antialias=*/antialias,
+            /*align_i32=*/true);
+  }
+
+  at::Tensor buffer_horiz, buffer_vert;
+  // Minor optimization: we can avoid allocating an extra buffer if we're performing
+  // horizontal-only or vertical-only interpolation, and if the tensor doesn't
+  // need repacking
+  if (need_horizontal && (need_vertical || !skip_packing)) {
+    auto c = (skip_unpacking) ? num_channels : 4;
+    buffer_horiz = at::empty({c, yin, xout}, input.options());
+  }
+  if (need_vertical && !skip_packing) {
+    auto c = (skip_unpacking) ? num_channels : 4;
+    buffer_vert = at::empty({c, yout, xout}, input.options());
+  }
+
+  for (const auto i : c10::irange(batch_size)) {
+
+    at::Tensor unpacked_input = (skip_unpacking) ? input[i] : unpack_rgb(input[i]);
+    at::Tensor unpacked_output;
+
+    if (need_horizontal) {
+      at::Tensor unpacked_output_temp = (need_vertical || !skip_packing) ? buffer_horiz : output[i];
+
+      if (skip_unpacking && num_channels == 3) {
+        ImagingResampleHorizontal<3>(
+          unpacked_output_temp,
+          unpacked_input,
+          ksize_horiz,
+          horiz_indices_weights,
+          horiz_weights_precision);
+      } else {
+        ImagingResampleHorizontal<4>(
+            unpacked_output_temp,
+            unpacked_input,
+            ksize_horiz,
+            horiz_indices_weights,
+            horiz_weights_precision);
+      }
+      unpacked_output = unpacked_input = unpacked_output_temp;
+    }
+    if (need_vertical) {
+      unpacked_output = (skip_packing) ? output[i] : buffer_vert;
+
+      ImagingResampleVertical(
+          unpacked_output,
+          unpacked_input,
+          ksize_vert,
+          vert_indices_weights,
+          vert_weights_precision
+      );
+    }
+
+    TORCH_INTERNAL_ASSERT(unpacked_output.defined());
+
+    if (!skip_packing) {
+      pack_rgb(unpacked_output, output[i]);
+    }
+  }
+}
+
+void ImagingResampleHorizontalConvolution8u4x(
+    uint8_t* C10_RESTRICT lineOut0,
+    uint8_t* C10_RESTRICT lineOut1,
+    uint8_t* C10_RESTRICT lineOut2,
+    uint8_t* C10_RESTRICT lineOut3,
+    int64_t out_xsize,
+    const uint8_t* C10_RESTRICT lineIn0,
+    const uint8_t* C10_RESTRICT lineIn1,
+    const uint8_t* C10_RESTRICT lineIn2,
+    const uint8_t* C10_RESTRICT lineIn3,
+    int64_t in_xsize,
+    const int64_t* idx_ptr_xmin,
+    const int64_t* idx_ptr_size,
+    const int16_t* kk,
+    int kmax,
+    unsigned int coefs_precision,
+    int64_t num_channels,
+    bool is_last_line) {
+
+  // Interpolation horizontal pass processing together 4 vertical lines.
+  // - Input data format is RGBA or RGB with R,G,B,A being uint8. In case of RGBA
+  //   we can encode 4 values as a single uint32 value.
+  // - We split the size of weight vector for a given output index as a sum:
+  //   ids_size = num_blocks_4 * 4 + num_blocks_2 * 2 + num_blocks_1.
+  // - We load and process 4 weights values in a loop ("block 4") then we process 2 weights values
+  // in another loop ("block 2") and finally we process 1 weights value in the final loop ("block 1").
+
+  // Define shuffling masks (low/high) for num_channels 4 and 3
+  // Mask low casts lower half of each lane to epi16 and reorder RGBARGBA -> RRGGBBAA:
+  //   [r1 g1 b1 a1  r2 g2 b2 a2  ... | R1 G1 B1 A1  R2 G2 B2 A2 ... ] ->
+  //   [r1 0 r2 0  g1 0 g2 0  b1 0 b2 0  a1 0 a2 0 | R1 0 R2 0  G1 0 G2 0  B1 0 B2 0  A1 0 A2 0]
+  // Mask high casts upper half of each lane to epi16 and reorder RGBARGBA -> RRGGBBAA::
+  //   [ ... r3 g3 b3 a3  r4 g4 b4 a4 | ... R3 G3 B3 A3  R4 G4 B4 A4 ] ->
+  //   [r3 0 r4 0  g3 0 g4 0  b3 0 b4 0  a3 0 a4 0 | R3 0 R4 0  G3 0 G4 0  B3 0 B4 0  A3 0 A4 0]
+
+  const auto mask_low_c4 = _mm256_set_epi8(
+      -1, 7, -1, 3, -1, 6, -1, 2, -1, 5, -1, 1, -1, 4, -1, 0,
+      -1, 7, -1, 3, -1, 6, -1, 2, -1, 5, -1, 1, -1, 4, -1, 0);
+  const auto mask_high_c4 = _mm256_set_epi8(
+      -1, 15, -1, 11, -1, 14, -1, 10, -1, 13, -1, 9, -1, 12, -1, 8,
+      -1, 15, -1, 11, -1, 14, -1, 10, -1, 13, -1, 9, -1, 12, -1, 8);
+  const auto mask_low_c3 = _mm256_set_epi8(
+      -1, -1, -1, -1, -1, 5, -1, 2, -1, 4, -1, 1, -1, 3, -1, 0,
+      -1, -1, -1, -1, -1, 5, -1, 2, -1, 4, -1, 1, -1, 3, -1, 0);
+  const auto mask_high_c3 = _mm256_set_epi8(
+      -1, -1, -1, -1, -1, 11, -1, 8, -1, 10, -1, 7, -1, 9, -1, 6,
+      -1, -1, -1, -1, -1, 11, -1, 8, -1, 10, -1, 7, -1, 9, -1, 6);
+
+  const auto mask_low = (num_channels == 3) ? mask_low_c3 : mask_low_c4;
+  const auto mask_high = (num_channels == 3) ? mask_high_c3 : mask_high_c4;
+
+  const auto stride = num_channels * sizeof(uint8_t);
+
+  TORCH_INTERNAL_ASSERT(stride == 3 || stride == 4);
+
+  // out_xsize = output width, out_x = output x index
+  // ids_min is the input offset index corresponding to out_x
+  // ids_size is the interpolation size for out_x
+
+  // Let's precompute ids_size limits for block 4 and block 2.
+  //
+  // In block 4 (4 means we process 4 weight values together), we read input data
+  // with _mm_loadu_si128, i.e. 16 bytes, per one line:
+  // lineIn0 + stride * (i + ids_min) + 16 <= lineIn0 + stride * (ids_size + ids_min)
+  // --> i <= ids_size - 16.0 / stride
+  // Strict boundary:
+  // --> i < ids_size + 1 - int(ceil(16.0 / stride)) = ids_size - b4_delta
+  // Soft boundary for reading inside the buffer except its boundaries:
+  // --> i < ids_size + 1 - int(16.0 / stride) = ids_size - b4_delta_soft
+  // RGBA: b4_delta = b4_delta_soft = 3
+  // RGB : b4_delta = 5
+  // RGB : b4_delta_soft = 4
+  const auto b4_delta = (stride == 4) ? 3 : ((is_last_line) ? 5 : 4);
+
+  // In block 2 (2 means we process 2 weights values together), we read input data
+  // with _mm_loadl_epi64, i.e. 8 bytes, per one line:
+  // lineIn0 + stride * (i + ids_min) + 8 <= lineIn0 + stride * (ids_size + ids_min)
+  // --> i <= ids_size - 8.0 / stride
+  // Strict boundary:
+  // --> i < ids_size + 1 - int(ceil(8.0 / stride)) = ids_size - b2_delta
+  // Soft boundary for reading inside the buffer except its boundaries:
+  // --> i < ids_size + 1 - int(8.0 / stride) = ids_size - b2_delta_soft
+  // RGBA: b2_delta = b2_delta_soft = 1
+  // RGB : b2_delta = 2
+  // RGB : b2_delta_soft = 1
+  const auto b2_delta = (stride == 4) ? 1 : ((is_last_line) ? 2 : 1);
+
+  const auto max_out_x_strided = out_xsize * stride;
+  const auto max_in_x_strided = in_xsize * stride;
+
+  const auto zero = _mm256_setzero_si256();
+  const auto initial = _mm256_set1_epi32(1 << (coefs_precision - 1));
+
+  for (const auto out_x : c10::irange(out_xsize)) {
+    const auto ids_min = idx_ptr_xmin[out_x];
+    const auto ids_size = idx_ptr_size[out_x];
+    const auto * k = &kk[out_x * kmax];
+    int64_t i = 0;
+
+    auto sss0 = initial;
+    auto sss1 = initial;
+
+    const auto * lineIn0_min = lineIn0 + ids_min;
+    const auto * lineIn1_min = lineIn1 + ids_min;
+    const auto * lineIn2_min = lineIn2 + ids_min;
+    const auto * lineIn3_min = lineIn3 + ids_min;
+
+    // block 4
+    for (; i < ids_size - b4_delta; i += 4) {
+      // Load 4 values from weight vector
+      // mmk0 = [wl_0 wh_0 wl_1 wh_1  wl_0 wh_0 wl_1 wh_1  ...]
+      // mmk1 = [wl_2 wh_2 wl_3 wh_3  wl_2 wh_2 wl_3 wh_3  ...]
+      const auto mmk0 = _mm256_set1_epi32(*(int32_t*)&k[i]);
+      const auto mmk1 = _mm256_set1_epi32(*(int32_t*)&k[i + 2]);
+
+      // RGBA: Load 8 pixels (4 per line) from input lines 0 and 1:
+      // source = [
+      //   r0 g0 b0 a0  r1 g1 b1 a1  r2 g2 b2 a2  r3 g3 b3 a3
+      //   R0 G0 B0 A0  R1 G1 B1 A1  R2 G2 B2 A2  R3 G3 B3 A3
+      // ]
+      // RGB: Load 10 pixels (5 per line)
+      // source = [
+      //   r0 g0 b0 r1  g1 b1 r2 g2  b2 r3 g3 b3  r4 g4 b4 r5
+      //   R0 G0 B0 R1  G1 B1 R2 G2  B2 R3 G3 B3  R4 G4 B4 R5
+      // ]
+      auto source = _mm256_inserti128_si256(_mm256_castsi128_si256(
+          _mm_loadu_si128((__m128i *) (lineIn0_min + stride * i))),
+          _mm_loadu_si128((__m128i *) (lineIn1_min + stride * i)), 1);
+
+      // Apply mask_low:
+      // RGBA:
+      //   [r0 0 r1 0  g0 0 g1 0  b0 0 b1 0  a0 0 a1 0 | R0 0 R1 0  G0 0 G1 0  B0 0 B1 0  A0 0 A1 0]
+      // RGB:
+      //   [r0 0 r1 0  g0 0 g1 0  b0 0 b1 0  0 0 0 0 | R0 0 R1 0  G0 0 G1 0  B0 0 B1 0  0 0 0 0]
+      auto pix1 = _mm256_shuffle_epi8(source, mask_low);
+      // Compute output value as C += w0 * C0 + w1 * C1 for each channel in 32-bit precision
+      sss0 = _mm256_add_epi32(sss0, _mm256_madd_epi16(pix1, mmk0));
+
+      // Apply mask_high:
+      // RGBA:
+      //   [r2 0 r3 0  g2 0 g3 0  b2 0 b3 0  a2 0 a3 0 | R2 0 R3 0  G2 0 G3 0  B2 0 B3 0  A2 0 A3 0]
+      // RGB:
+      //   [r2 0 r3 0  g2 0 g3 0  b2 0 b3 0  0 0 0 0 | R2 0 R3 0  G2 0 G3 0  B2 0 B3 0  0 0 0 0]
+      auto pix2 = _mm256_shuffle_epi8(source, mask_high);
+      // Compute output value as C += w2 * C2 + w3 * C3 for each channel in 32-bit precision
+      sss0 = _mm256_add_epi32(sss0, _mm256_madd_epi16(pix2, mmk1));
+
+      // Same as above to next lines 2 and 3:
+      auto source2 = _mm256_inserti128_si256(_mm256_castsi128_si256(
+          _mm_loadu_si128((__m128i *) (lineIn2_min + stride * i))),
+          _mm_loadu_si128((__m128i *) (lineIn3_min + stride * i)), 1);
+      auto pix3 = _mm256_shuffle_epi8(source2, mask_low);
+      sss1 = _mm256_add_epi32(sss1, _mm256_madd_epi16(pix3, mmk0));
+      auto pix4 = _mm256_shuffle_epi8(source2, mask_high);
+      sss1 = _mm256_add_epi32(sss1, _mm256_madd_epi16(pix4, mmk1));
+    }
+
+    // block 2
+    for (; i < ids_size - b2_delta; i += 2) {
+      // Load 2 values from weight vector
+      // mmk = [wl_0 wh_0 wl_1 wh_1  wl_0 wh_0 wl_1 wh_1  ...]
+      const auto mmk = _mm256_set1_epi32(*(int32_t*)&k[i]);
+
+      // Load 4 pixels (2 per line) from input lines 0 and 1:
+      // RGBA: source1 = [
+      //   r0 g0 b0 a0  r1 g1 b1 a1  0 0 0 0  0 0 0 0
+      //   R0 G0 B0 A0  R1 G1 B1 A1  0 0 0 0  0 0 0 0
+      // ]
+      // RGB: source1 = [
+      //   r0 g0 b0 r1  g1 b1 r2  0 0 0 0  0 0 0 0
+      //   R0 G0 B0 R1  G1 B1 R2  0 0 0 0  0 0 0 0
+      // ]
+      auto source1 = _mm256_inserti128_si256(_mm256_castsi128_si256(
+          _mm_loadl_epi64((__m128i *) (lineIn0_min + stride * i))),
+          _mm_loadl_epi64((__m128i *) (lineIn1_min + stride * i)), 1);
+      // Apply mask_low:
+      // RGBA:
+      //   [r0 0 r1 0  g0 0 g1 0  b0 0 b1 0  a0 0 a1 0 | R0 0 R1 0  G0 0 G1 0  B0 0 B1 0  A0 0 A1 0]
+      // RGB:
+      //   [r0 0 r1 0  g0 0 g1 0  b0 0 b1 0  0 0 0 0 | R0 0 R1 0  G0 0 G1 0  B0 0 B1 0  0 0 0 0]
+      auto pix1 = _mm256_shuffle_epi8(source1, mask_low);
+      // Compute output value as C += w0 * C0 + w1 * C1 for each channel in 32-bit precision
+      sss0 = _mm256_add_epi32(sss0, _mm256_madd_epi16(pix1, mmk));
+
+      // Same as above for lines 2 and 3:
+      auto source2 = _mm256_inserti128_si256(_mm256_castsi128_si256(
+          _mm_loadl_epi64((__m128i *) (lineIn2_min + stride * i))),
+          _mm_loadl_epi64((__m128i *) (lineIn3_min + stride * i)), 1);
+      auto pix2 = _mm256_shuffle_epi8(source2, mask_low);
+      sss1 = _mm256_add_epi32(sss1, _mm256_madd_epi16(pix2, mmk));
+    }
+
+    // block 1
+    const auto i32_aligned = num_channels == 4;
+    for (; i < ids_size - 1; i++) {
+      // Load 1 value from weight vector
+      // mmk = [wl_0 wh_0 0 0  wl_0 wh_0 0 0  ...]
+      const auto mmk = _mm256_set1_epi32(k[i]);
+
+      // Load 2 pixels (one per line) from input lines 0 and 1:
+      // RGBA: pix1 = [
+      //   r0 0 0 0  g0 0 0 0  b0 0 0 0  a0 0 0 0
+      //   R0 0 0 0  G0 0 0 0  B0 0 0 0  A0 0 0 0
+      // ]
+      // RGB: pix1 = [
+      //   r0 0 0 0  g0 0 0 0  b0 0 0 0  r1 0 0 0
+      //   R0 0 0 0  G0 0 0 0  B0 0 0 0  R1 0 0 0
+      // ]
+      auto pix1 = _mm256_inserti128_si256(_mm256_castsi128_si256(
+          mm_cvtepu8_epi32(lineIn0_min + stride * i, i32_aligned)),
+          mm_cvtepu8_epi32(lineIn1_min + stride * i, i32_aligned), 1);
+      // Compute output value as C += w0 * C0 for each channel in 32-bit precision
+      sss0 = _mm256_add_epi32(sss0, _mm256_madd_epi16(pix1, mmk));
+
+      // Same as above for lines 2 and 3
+      auto pix2 = _mm256_inserti128_si256(_mm256_castsi128_si256(
+          mm_cvtepu8_epi32(lineIn2_min + stride * i, i32_aligned)),
+          mm_cvtepu8_epi32(lineIn3_min + stride * i, i32_aligned), 1);
+      sss1 = _mm256_add_epi32(sss1, _mm256_madd_epi16(pix2, mmk));
+    }
+
+    if (i == ids_size - 1) {
+      // last element
+      auto mmk = _mm256_set1_epi32(k[i]);
+      // For num_channels == 3 (3 bytes = one pixel) we tolerate to read 4 bytes
+      // lines 0, 1 and 2 wont go out of allocated memory bounds
+      auto pix = _mm256_inserti128_si256(_mm256_castsi128_si256(
+          mm_cvtepu8_epi32(lineIn0_min + stride * i, i32_aligned)),
+          mm_cvtepu8_epi32(lineIn1_min + stride * i, i32_aligned), 1);
+      sss0 = _mm256_add_epi32(sss0, _mm256_madd_epi16(pix, mmk));
+
+      auto p0 = mm_cvtepu8_epi32(lineIn2_min + stride * i, i32_aligned);
+      __m128i p1;
+      if (num_channels == 3 && C10_UNLIKELY(is_last_line && ids_min + stride * i + 4 >= max_in_x_strided)) {
+        uint8_t input[4];
+        std::memcpy(input, lineIn3_min + stride * i, 3);
+        p1 = mm_cvtepu8_epi32(input, true);
+      } else {
+        p1 = mm_cvtepu8_epi32(lineIn3_min + stride * i, i32_aligned);
+      }
+      auto pix2 = _mm256_inserti128_si256(_mm256_castsi128_si256(p0), p1, 1);
+      sss1 = _mm256_add_epi32(sss1, _mm256_madd_epi16(pix2, mmk));
+    }
+
+    // Convert fixed point values back to integers (truncating)
+    sss0 = _mm256_srai_epi32(sss0, coefs_precision);
+    sss1 = _mm256_srai_epi32(sss1, coefs_precision);
+    // Convert packed signed 32-bit integers to packed 16-bit integers using signed saturation
+    // (a a a a b b b b c c c c d d d d) -> (a a b b c c d d 0 0 0 0 0 0 0 0)
+    sss0 = _mm256_packs_epi32(sss0, zero);
+    sss1 = _mm256_packs_epi32(sss1, zero);
+    // Convert packed signed 16-bit integers to packed 8-bit integers using unsigned saturation
+    // (a a b b c c d d) -> (a b c d 0 0 0 0)
+    sss0 = _mm256_packus_epi16(sss0, zero);
+    sss1 = _mm256_packus_epi16(sss1, zero);
+
+    // Write the output into single uint32
+    // (a b c d) -> x_uint32
+    auto o0 = _mm_cvtsi128_si32(_mm256_castsi256_si128(sss0));
+    auto o1 = _mm_cvtsi128_si32(_mm256_extracti128_si256(sss0, 1));
+    auto o2 = _mm_cvtsi128_si32(_mm256_castsi256_si128(sss1));
+    auto o3 = _mm_cvtsi128_si32(_mm256_extracti128_si256(sss1, 1));
+
+    const auto out_x_strided = stride * out_x;
+
+    if (num_channels == 3 && C10_UNLIKELY(out_x_strided + 4 >= max_out_x_strided)) {
+      // Memcpy 4-bytes is faster than 3-bytes and this is a boundary case when we want to write
+      // 4 bytes (R G B | X) to the output buffer (X1 X2 X3 | R1).
+      // The 4th byte in the register (X) has a garbage value and 4th byte in the output buffer (R1) has a correct
+      // value which was preveiously computed by another line. In other words, it means that we can not overwrite
+      // it by simply writing 4 bytes from the register to the output. We'll do the following:
+      //               v----------|
+      // Output = [... X1 X2 X3 | R1 G1 B1 R2 ...]
+      // First, we write R1 value to the 4th byte of (R G B | X) -> (R G B | R1)
+      // Second, we write 4 bytes from the register to the output: (X1 X2 X3 | R1) -> (R G B | R1)
+      // Output = [... R G B | R1 G1 B1 R2 ...]
+
+      _write_endline_rgb_as_uint32(lineOut0 + out_x_strided, o0);
+      _write_endline_rgb_as_uint32(lineOut1 + out_x_strided, o1);
+      _write_endline_rgb_as_uint32(lineOut2 + out_x_strided, o2);
+
+      if (C10_UNLIKELY(is_last_line)) {
+        // When we handle the last line, we can not access the next 4 bytes
+        // as they are out of memory bounds.
+        std::memcpy(lineOut3 + out_x_strided, (uint8_t *) &o3, num_channels);
+      } else {
+        _write_endline_rgb_as_uint32(lineOut3 + out_x_strided, o3);
+      }
+    } else if (num_channels == 3) {
+      // Memcpy 4-bytes is faster than 3-bytes and here
+      // we simply write 4 bytes (... R G B X 0 0 0 0 0 ...) where X is a garbage value
+      // that we will overwrite on the next iteration: (... R G B R G B X 0 0 ...)
+      std::memcpy(lineOut0 + out_x_strided, (uint8_t *) &o0, 4);
+      std::memcpy(lineOut1 + out_x_strided, (uint8_t *) &o1, 4);
+      std::memcpy(lineOut2 + out_x_strided, (uint8_t *) &o2, 4);
+      std::memcpy(lineOut3 + out_x_strided, (uint8_t *) &o3, 4);
+    } else {
+      // num_channels = 4 -> lineOutX + out_x_strided should be uint32 aligned
+      *(uint32_t *)(lineOut0 + out_x_strided) = o0;
+      *(uint32_t *)(lineOut1 + out_x_strided) = o1;
+      *(uint32_t *)(lineOut2 + out_x_strided) = o2;
+      *(uint32_t *)(lineOut3 + out_x_strided) = o3;
+    }
+  }
+}
+
+void ImagingResampleHorizontalConvolution8u(
+    uint8_t* C10_RESTRICT lineOut,
+    int64_t out_xsize,
+    const uint8_t* C10_RESTRICT lineIn,
+    int64_t in_xsize,
+    const int64_t* idx_ptr_xmin,
+    const int64_t* idx_ptr_size,
+    const int16_t* kk,
+    int kmax,
+    unsigned int coefs_precision,
+    int64_t num_channels,
+    bool is_last_line) {
+
+  // Interpolation horizontal pass processing only one vertical line.
+  // - Input data format is RGBA or RGB with R,G,B,A being uint8. In case of RGBA
+  //   we can encode 4 values as a single uint32 value.
+  // - We split the size of weight vector for a given output index as a sum:
+  //   ids_size = num_blocks_8 * 8 + num_blocks_4 * 4 + num_blocks_2 * 2 + num_blocks_1
+  // - We load and process 8 weights values in a loop ("block 8") then 4 weights and 2 weights values in
+  // in another loops ("block 4" and "block 2") and finally we process 1 weight value in the final loop ("block 1").
+
+  // Define various shuffling masks
+  const auto kmask_low = _mm256_set_epi8(
+      11, 10, 9, 8, 11, 10, 9, 8, 11, 10, 9, 8, 11, 10, 9, 8,
+      3, 2, 1, 0, 3, 2, 1, 0, 3, 2, 1, 0, 3, 2, 1, 0);
+  const auto kmask_high = _mm256_set_epi8(
+      15, 14, 13, 12, 15, 14, 13, 12, 15, 14, 13, 12, 15, 14, 13, 12,
+      7, 6, 5, 4, 7, 6, 5, 4, 7, 6, 5, 4, 7, 6, 5, 4);
+  const auto kmask_hl = _mm256_set_epi8(
+      7, 6, 5, 4, 7, 6, 5, 4, 7, 6, 5, 4, 7, 6, 5, 4,
+      3, 2, 1, 0, 3, 2, 1, 0, 3, 2, 1, 0, 3, 2, 1, 0);
+
+  const auto mask_low_c4 = _mm256_set_epi8(
+      -1, 7, -1, 3, -1, 6, -1, 2, -1, 5, -1, 1, -1, 4, -1, 0,
+      -1, 7, -1, 3, -1, 6, -1, 2, -1, 5, -1, 1, -1, 4, -1, 0);
+  const auto mask_high_c4 = _mm256_set_epi8(
+      -1, 15, -1, 11, -1, 14, -1, 10, -1, 13, -1, 9, -1, 12, -1, 8,
+      -1, 15, -1, 11, -1, 14, -1, 10, -1, 13, -1, 9, -1, 12, -1, 8);
+  const auto mask_low_c3 = _mm256_set_epi8(
+      -1, -1, -1, -1, -1, 5, -1, 2, -1, 4, -1, 1, -1, 3, -1, 0,
+      -1, -1, -1, -1, -1, 5, -1, 2, -1, 4, -1, 1, -1, 3, -1, 0);
+  const auto mask_high_c3 = _mm256_set_epi8(
+      -1, -1, -1, -1, -1, 11, -1, 8, -1, 10, -1, 7, -1, 9, -1, 6,
+      -1, -1, -1, -1, -1, 11, -1, 8, -1, 10, -1, 7, -1, 9, -1, 6);
+  const auto mask_hl_c3 = _mm256_set_epi8(
+      -1, -1, -1, -1, -1, 11, -1, 8, -1, 10, -1, 7, -1, 9, -1, 6,
+      -1, -1, -1, -1, -1, 5, -1, 2, -1, 4, -1, 1, -1, 3, -1, 0);
+  const auto mask_hl_c4 = _mm256_set_epi8(
+      -1, 15, -1, 11, -1, 14, -1, 10, -1, 13, -1, 9, -1, 12, -1, 8,
+      -1, 7, -1, 3, -1, 6, -1, 2, -1, 5, -1, 1, -1, 4, -1, 0);
+
+  const auto mask_low128_c3 = _mm_set_epi8(
+      -1, -1, -1, -1, -1, 5, -1, 2, -1, 4, -1, 1, -1, 3, -1, 0);
+  const auto mask_low128_c4 = _mm_set_epi8(
+      -1, 7, -1, 3, -1, 6, -1, 2, -1, 5, -1, 1, -1, 4, -1, 0);
+
+  const auto mask_low = (num_channels == 3) ? mask_low_c3 : mask_low_c4;
+  const auto mask_high = (num_channels == 3) ? mask_high_c3 : mask_high_c4;
+  const auto mask_hl = (num_channels == 3) ? mask_hl_c3 : mask_hl_c4;
+  const auto mask_low128 = (num_channels == 3) ? mask_low128_c3 : mask_low128_c4;
+
+  // out_xsize = output width, out_x = output x index
+  // ids_min is the input offset index corresponding to out_x
+  // ids_size is the interpolation size for out_x
+
+  const auto stride = num_channels * sizeof(uint8_t);
+  const auto zero = _mm_setzero_si128();
+
+  TORCH_INTERNAL_ASSERT(stride == 3 || stride == 4);
+
+  // Let's precompute ids_size limits for block 8, block 4 and block 2
+  //
+  // In block 8 (8 means we process 8 weight values together), we read at
+  // most 32 bytes input data (16 + 16 bytes for RGBA and 12 + 16 bytes for RGB)
+  // lineIn + stride * (i + ids_min) + 32 <= lineIn + stride * (ids_size + ids_min)
+  // --> i <= ids_size - 32.0 / stride
+  // Strict boundary:
+  // --> i < ids_size + 1 - int(ceil(32.0 / stride)) = ids_size - b8_delta
+  // Soft boundary for reading inside the buffer except its boundaries:
+  // --> i < ids_size + 1 - int(32.0 / stride) = ids_size - b8_delta_soft
+  // RGBA: b8_delta = b8_delta_soft = 7
+  // RGB : b8_delta = 10
+  // RGB : b8_delta_soft = 9
+  const auto b8_delta = (stride == 4) ? 7 : ((is_last_line) ? 10 : 9);
+
+  // In block 4 (4 means we process 4 weight values together), we read
+  // 16 bytes of input data.
+  // lineIn + stride * (i + ids_min) + 16 <= lineIn0 + stride * (ids_size + ids_min)
+  // --> i <= ids_size - 16.0 / stride
+  // Strict boundary:
+  // --> i < ids_size + 1 - int(ceil(16.0 / stride)) = ids_size - b4_delta
+  // Soft boundary for reading inside the buffer except its boundaries:
+  // --> i < ids_size + 1 - int(16.0 / stride) = ids_size - b4_delta_soft
+  // RGBA: b4_delta = b4_delta_soft = 3
+  // RGB : b4_delta = 5
+  // RGB : b4_delta_soft = 4
+  const auto b4_delta = (stride == 4) ? 3 : ((is_last_line) ? 5 : 4);
+
+  // In block 2 (2 means we process 2 weight values together), we read
+  // 8 bytes of input data.
+  // lineIn0 + stride * (i + ids_min) + 8 <= lineIn0 + stride * (ids_size + ids_min)
+  // --> i <= ids_size - 8.0 / stride
+  // Strict boundary:
+  // --> i < ids_size + 1 - int(ceil(8.0 / stride)) = ids_size - b2_delta
+  // Soft boundary for reading inside the buffer except its boundaries:
+  // --> i < ids_size + 1 - int(8.0 / stride) = ids_size - b2_delta_soft
+  // RGBA: b2_delta = b2_delta_soft = 1
+  // RGB : b2_delta = 2
+  // RGB : b2_delta_soft = 1
+  const auto b2_delta = (stride == 4) ? 1 : ((is_last_line) ? 2 : 1);
+
+  const auto max_out_x_strided = out_xsize * stride;
+  const auto max_in_x_strided = in_xsize * stride;
+
+  for (const auto out_x : c10::irange(out_xsize)) {
+    __m128i sss;
+    const auto ids_min = idx_ptr_xmin[out_x];
+    const auto ids_size = idx_ptr_size[out_x];
+    const auto * k = &kk[out_x * kmax];
+    int64_t i = 0;
+
+    const auto * lineIn_min = lineIn + ids_min;
+
+    if (ids_size < 8) {
+      sss = _mm_set1_epi32(1 << (coefs_precision - 1));
+    } else {
+      // Lower part will be added to higher, use only half of the error
+      auto sss256 = _mm256_set1_epi32(1 << (coefs_precision - 2));
+
+      // block 8
+      for (; i < ids_size - b8_delta; i += 8) {
+        // Load 8 values from weight vector
+        auto tmp = _mm_loadu_si128((__m128i*)&k[i]);
+        // ksource = [
+        //    wl_0 wh_0 wl_1 wh_1  wl_2 wh_2 wl_3 wh_3  wl_4 wh_4 wl_5 wh_5  wl_6 wh_6 wl_7 wh_7
+        //    wl_0 wh_0 wl_1 wh_1  wl_2 wh_2 wl_3 wh_3  wl_4 wh_4 wl_5 wh_5  wl_6 wh_6 wl_7 wh_7
+        // ]
+        auto ksource = _mm256_insertf128_si256(_mm256_castsi128_si256(tmp), tmp, 1);
+
+        // RGBA: Load 8 pixels from input:
+        // source = [
+        //    r0 g0 b0 a0  r1 g1 b1 a1  r2 g2 b2 a2  r3 g3 b3 a3
+        //    r4 g4 b4 a4  r5 g5 b5 a5  r6 g6 b6 a6  r7 g7 b7 a7
+        // ]
+        // RGB: Load 10 pixels from input (however we can process only 8 pixels):
+        // source = [
+        //    r0 g0 b0 r1  g1 b1 r2 g2  b2 r3 g3 b3  r4 g4 b4 r5
+        //    r4 g4 b4 r5  g5 b5 r6 g6  b6 r7 g7 b7  r8 g8 b8 r9
+        // ]
+        auto source = _mm256_inserti128_si256(_mm256_castsi128_si256(
+            _mm_loadu_si128((__m128i *) (lineIn_min + stride * i))),
+            _mm_loadu_si128((__m128i *) (lineIn_min + stride * (i + 4))), 1);
+
+        // Extract lower part of each lane, cast to epi16 and reoder RGBARGBA -> RRGGBBAA
+        // RGBA: pix1 = [
+        //   r0 0 r1 0  g0 0 g1 0  b0 0 b1 0  a0 0 a1 0
+        //   r4 0 r5 0  g4 0 g5 0  b4 0 b5 0  a4 0 a5 0
+        // ]
+        // RGB: pix1 = [
+        //   r0 0 r1 0  g0 0 g1 0  b0 0 b1 0  0 0 0 0
+        //   r4 0 r5 0  g4 0 g5 0  b4 0 b5 0  0 0 0 0
+        // ]
+        auto pix1 = _mm256_shuffle_epi8(source, mask_low);
+        // mmk1 = [
+        //   wl_0 wh_0 wl_1 wh_1  wl_0 wh_0 wl_1 wh_1  ...  ...
+        //   wl_4 wh_4 wl_5 wh_5  wl_4 wh_4 wl_5 wh_5  ...  ...
+        // ]
+        auto mmk1 = _mm256_shuffle_epi8(ksource, kmask_low);
+        // Compute output value as
+        //   C += w0 * C0 + w1 * C1
+        //   C += w4 * C4 + w5 * C5 for each channel in 32-bit precision
+        sss256 = _mm256_add_epi32(sss256, _mm256_madd_epi16(pix1, mmk1));
+
+        // Same as above for higher part of each lane
+        auto pix2 = _mm256_shuffle_epi8(source, mask_high);
+        auto mmk2 = _mm256_shuffle_epi8(ksource, kmask_high);
+        // Compute output value as
+        //    C += w2 * C2 + w3 * C3
+        //    C += w6 * C6 + w7 * C7 for each channel in 32-bit precision
+        sss256 = _mm256_add_epi32(sss256, _mm256_madd_epi16(pix2, mmk2));
+      }
+
+      // block 4
+      for (; i < ids_size - b4_delta; i += 4) {
+        // Load 4 values from weight vector
+        auto tmp = _mm_loadl_epi64((__m128i *) &k[i]);
+        // ksource = [
+        //    wl_0 wh_0 wl_1 wh_1  wl_2 wh_2 wl_3 wh_3  0 0 0 0  0 0 0 0
+        //    wl_0 wh_0 wl_1 wh_1  wl_2 wh_2 wl_3 wh_3  0 0 0 0  0 0 0 0
+        // ]
+        auto ksource = _mm256_insertf128_si256(_mm256_castsi128_si256(tmp), tmp, 1);
+
+        // Load pixels from input line
+        tmp = _mm_loadu_si128((__m128i *) (lineIn_min + stride * i));
+        // RGBA: source = [
+        //   r0 g0 b0 a0  r1 g1 b1 a1  r2 g2 b2 a2  r3 g3 b3 a3
+        //   r0 g0 b0 a0  r1 g1 b1 a1  r2 g2 b2 a2  r3 g3 b3 a3
+        // ]
+        // RGB: source = [
+        //   r0 g0 b0 r1  g1 b1 r2 g2  b2 r3 g3 b3  r4 g4 b4 r5
+        //   r0 g0 b0 r1  g1 b1 r2 g2  b2 r3 g3 b3  r4 g4 b4 r5
+        // ]
+        auto source = _mm256_insertf128_si256(_mm256_castsi128_si256(tmp), tmp, 1);
+
+        // Cast source to epi16 and reorder RGBARGBA -> RRGGBBAA
+        // RGBA: pix = [
+        //   r0 0 r1 0  g0 0 g1 0  b0 0 b1 0  a0 0 a1 0
+        //   r2 0 r3 0  g2 0 g3 0  b2 0 b3 0  a2 0 a3 0
+        // ]
+        // RGB: pix = [
+        //   r0 0 r1 0  g0 0 g1 0  b0 0 b1 0  0 0 0 0
+        //   r2 0 r3 0  g2 0 g3 0  b2 0 b3 0  0 0 0 0
+        // ]
+        auto pix = _mm256_shuffle_epi8(source, mask_hl);
+        // mmk = [
+        //   wl_0 wh_0 wl_1 wh_1  wl_0 wh_0 wl_1 wh_1  ... ...
+        //   wl_2 wh_2 wl_3 wh_3  wl_2 wh_2 wl_3 wh_3  ... ...
+        // ]
+        auto mmk = _mm256_shuffle_epi8(ksource, kmask_hl);
+        // Compute output value as
+        //   C += w0 * C0 + w1 * C1
+        //   C += w2 * C2 + w3 * C3 for each channel in 32-bit precision
+        sss256 = _mm256_add_epi32(sss256, _mm256_madd_epi16(pix, mmk));
+      }
+
+      // Sum results between the lanes
+      sss = _mm_add_epi32(
+          _mm256_extracti128_si256(sss256, 0),
+          _mm256_extracti128_si256(sss256, 1));
+    }
+
+    // block 2
+    for (; i < ids_size - b2_delta; i += 2) {
+      // Load 2 values from weight vector
+      // mmk = [wl_0 wh_0 wl_1 wh_1  wl_0 wh_0 wl_1 wh_1  ...]
+      auto mmk = _mm_set1_epi32(*(int32_t*)&k[i]);
+      // Load pixels from input line
+      // RGBA: source = [
+      //   r0 g0 b0 a0  r1 g1 b1 a1  0 0 0 0  0 0 0 0
+      // ]
+      // RGB: source = [
+      //   r0 g0 b0 r1  g1 b1 r2 g2  0 0 0 0  0 0 0 0
+      // ]
+      auto source = _mm_loadl_epi64((__m128i *) (lineIn_min + stride * i));
+      // Cast source to epi16 and reorder RGBARGBA -> RRGGBBAA
+      auto pix = _mm_shuffle_epi8(source, mask_low128);
+      // Compute output value as C += w0 * C0 + w1 * C1 for each channel in 32-bit precision
+      sss = _mm_add_epi32(sss, _mm_madd_epi16(pix, mmk));
+    }
+
+    // block 1
+    const auto i32_aligned = num_channels == 4;
+    for (; i < ids_size - 1; i++) {
+      // Load 1 value from weight vector
+      // mmk = [wl_0 wh_0 0 0  wl_0 wh_0 0 0  ...]
+      auto mmk = _mm_set1_epi32(k[i]);
+      // Load one pixel from input line
+      // RGBA: pix = [
+      //   r0 0 0 0  g0 0 0 0  b0 0 0 0  a0 0 0 0
+      // ]
+      // RGB: pix = [
+      //   r0 0 0 0  g0 0 0 0  b0 0 0 0  r1 0 0 0
+      // ]
+      auto pix = mm_cvtepu8_epi32(lineIn_min + stride * i, i32_aligned);
+      // Compute output value as C += w0 * C0 for each channel in 32-bit precision
+      sss = _mm_add_epi32(sss, _mm_madd_epi16(pix, mmk));
+    }
+
+    if (i == ids_size - 1) {
+      // last element
+      auto mmk = _mm_set1_epi32(k[i]);
+      __m128i pix;
+      auto p = lineIn_min + stride * i;
+      if (num_channels == 3 && C10_UNLIKELY(is_last_line && ids_min + stride * i + 4 >= max_in_x_strided)) {
+        uint8_t input[4];
+        std::memcpy(input, p, 3);
+        pix = mm_cvtepu8_epi32(input, true);
+      } else {
+        pix = mm_cvtepu8_epi32(p, i32_aligned);
+      }
+      sss = _mm_add_epi32(sss, _mm_madd_epi16(pix, mmk));
+    }
+
+    // Convert fixed point values back to integers (truncating)
+    sss = _mm_srai_epi32(sss, coefs_precision);
+    // Convert packed signed 32-bit integers to packed 16-bit integers using signed saturation
+    // (a a a a b b b b c c c c d d d d) -> (a a b b c c d d 0 0 0 0 0 0 0 0)
+    sss = _mm_packs_epi32(sss, zero);
+    // Convert packed signed 16-bit integers to packed 8-bit integers using unsigned saturation
+    // (a a b b c c d d) -> (a b c d 0 0 0 0)
+    sss = _mm_packus_epi16(sss, zero);
+    // Write the output into single uint32
+    // (a b c d) -> x_uint32
+    auto o = _mm_cvtsi128_si32(sss);
+    const auto out_x_strided = stride * out_x;
+    if (num_channels == 3 && C10_UNLIKELY(out_x_strided + 4 >= max_out_x_strided)) {
+      if (C10_UNLIKELY(is_last_line)) {
+        // When we handle the last line, we can not access the next 4 bytes
+        // as they are out of memory bounds.
+        std::memcpy(lineOut + out_x_strided, (uint8_t *) &o, 3);
+      } else {
+        // Memcpy 4-bytes is faster than 3-bytes and this is a boundary case when we want to write
+        // 4 bytes (R G B | X) to the output buffer (X1 X2 X3 | R1).
+        // The 4th byte in the register (X) has a garbage value and 4th byte in the output buffer (R1) has a correct
+        // value which was preveiously computed by another line. In other words, it means that we can not overwrite
+        // it by simply writing 4 bytes from the register to the output. We'll do the following:
+        //               v----------|
+        // Output = [... X1 X2 X3 | R1 G1 B1 R2 ...]
+        // First, we write R1 value to the 4th byte of (R G B | X) -> (R G B | R1)
+        // Second, we write 4 bytes from the register to the output: (X1 X2 X3 | R1) -> (R G B | R1)
+        // Output = [... R G B | R1 G1 B1 R2 ...]
+        _write_endline_rgb_as_uint32(lineOut + out_x_strided, o);
+      }
+    } else if (num_channels == 3) {
+      // Memcpy 4-bytes is faster than 3-bytes and here
+      // we simply write 4 bytes (... R G B X 0 0 0 0 0 ...) where X is a garbage value
+      // that we will overwrite on the next iteration: (... R G B R G B X 0 0 ...)
+      std::memcpy(lineOut + out_x_strided, (uint8_t *) &o, 4);
+    } else {
+      // num_channels = 4 -> lineOut + out_x_strided should be uint32 aligned
+      *(uint32_t *)(lineOut + out_x_strided) = o;
+    }
+  }
+}
+
+void ImagingResampleVerticalConvolution8u(
+    uint8_t* C10_RESTRICT lineOut,
+    const uint8_t* C10_RESTRICT lineIn,
+    int64_t xsize,
+    int64_t ids_min,
+    int64_t ids_size,
+    const int16_t* k,
+    unsigned int coefs_precision,
+    int64_t num_channels) {
+
+  // Interpolation vertical pass processing one line.
+  // - We process x-axis data with blocks of 8, 2 and 1
+  // - We split the size of weight vector for a given output index as a sum: K = n * 2 + m.
+
+  // xsize = output width, also equals to input width
+  // ids_size = interpolation size
+  // ids_min = input y start index
+  const auto stride = num_channels * sizeof(uint8_t);
+
+  TORCH_INTERNAL_ASSERT(stride == 3 || stride == 4);
+
+  const int64_t data_size = xsize * stride;
+  const int64_t data_stride = stride;
+  constexpr auto vec_size = 256 / 8;
+
+  const auto initial = _mm_set1_epi32(1 << (coefs_precision - 1));
+  const auto initial_256 = _mm256_set1_epi32(1 << (coefs_precision - 1));
+  const auto zero = _mm_setzero_si128();
+  const auto zero_256 = _mm256_setzero_si256();
+
+  int64_t j = 0;
+  // block 8
+  const auto b8_usable_vec_stride = (vec_size / data_stride) * data_stride;
+  for (; j < data_size - vec_size; j += b8_usable_vec_stride) {
+    auto sss0 = initial_256;
+    auto sss1 = initial_256;
+    auto sss2 = initial_256;
+    auto sss3 = initial_256;
+    int64_t i = 0;
+    const auto * lineIn_min = lineIn + j + ids_min;
+
+    for (; i < ids_size - 1; i += 2) {
+      // Load 2 values from weight vector
+      auto mmk = _mm256_set1_epi32(*(int32_t*)&k[i]);
+
+      // RGBA: Load 8 pixels per line
+      // source1 = [
+      //    r0 g0 b0 a0  r1 g1 b1 a1  r2 g2 b2 a2  r3 g3 b3 a3
+      //    r4 g4 b4 a4  r5 g5 b5 a5  r6 g6 b6 a6  r7 g7 b7 a7
+      // ]
+      // RGB: Load 10 pixels per line (however we can process only 8 pixels):
+      // source1 = [
+      //    r0 g0 b0 r1  g1 b1 r2 g2  b2 r3 g3 b3  r4 g4 b4 r5
+      //    r4 g4 b4 r5  g5 b5 r6 g6  b6 r7 g7 b7  r8 g8 b8 r9
+      // ]
+      auto source1 =
+          _mm256_loadu_si256((__m256i*)(lineIn_min + data_size * i));
+      auto source2 =
+          _mm256_loadu_si256((__m256i*)(lineIn_min + data_size * (i + 1)));
+
+      // Interleave source1 and source2 from the low half of each 128-bit lane
+      // and cast the result to epi16
+      // RGBA: pix1 = [
+      //    r0 0 R0 0  g0 0 G0 0  b0 0 B0 0  a0 0 A0 0
+      //    r1 0 R1 0  g1 0 G1 0  b1 0 B1 0  a1 0 A1 0
+      // ]
+      // RGB: pix1 = [
+      //    r0 0 R0 0  g0 0 G0 0  b0 0 B0 0  0 0 0 0
+      //    r1 0 R1 0  g1 0 G1 0  b1 0 B1 0  0 0 0 0
+      // ]
+      auto source_lo = _mm256_unpacklo_epi8(source1, source2);
+      auto pix1 = _mm256_unpacklo_epi8(source_lo, zero_256);
+      // Compute output value as
+      //   C += w0 * c0 + w1 * C0
+      //   C += w0 * c1 + w1 * C1 for each channel in 32-bit precision
+      sss0 = _mm256_add_epi32(sss0, _mm256_madd_epi16(pix1, mmk));
+
+      // RGBA: pix2 = [
+      //    r2 0 R2 0  g2 0 G2 0  b2 0 B2 0  a2 0 A2 0
+      //    r3 0 R3 0  g3 0 G3 0  b3 0 B3 0  a3 0 A3 0
+      // ]
+      // RGB: pix2 = [
+      //    r2 0 R2 0  g2 0 G2 0  b2 0 B2 0  0 0 0 0
+      //    r3 0 R3 0  g3 0 G3 0  b3 0 B3 0  0 0 0 0
+      // ]
+      auto pix2 = _mm256_unpackhi_epi8(source_lo, zero_256);
+      // Compute output value as
+      //   C += w0 * c2 + w1 * C2
+      //   C += w0 * c3 + w1 * C3 for each channel in 32-bit precision
+      sss1 = _mm256_add_epi32(sss1, _mm256_madd_epi16(pix2, mmk));
+
+      // Same as above for the high half of each 128-bit lane
+      auto source_hi = _mm256_unpackhi_epi8(source1, source2);
+      auto pix3 = _mm256_unpacklo_epi8(source_hi, zero_256);
+      sss2 = _mm256_add_epi32(sss2, _mm256_madd_epi16(pix3, mmk));
+      auto pix4 = _mm256_unpackhi_epi8(source_hi, zero_256);
+      sss3 = _mm256_add_epi32(sss3, _mm256_madd_epi16(pix4, mmk));
+    }
+    // Same processing as above but with a single weight value
+    for (; i < ids_size; i += 1) {
+      auto mmk = _mm256_set1_epi32(k[i]);
+
+      auto source1 = _mm256_loadu_si256((__m256i*)(lineIn_min + i * data_size));
+
+      auto source_lo = _mm256_unpacklo_epi8(source1, zero_256);
+      auto pix1 = _mm256_unpacklo_epi8(source_lo, zero_256);
+      sss0 = _mm256_add_epi32(sss0, _mm256_madd_epi16(pix1, mmk));
+      auto pix2 = _mm256_unpackhi_epi8(source_lo, zero_256);
+      sss1 = _mm256_add_epi32(sss1, _mm256_madd_epi16(pix2, mmk));
+
+      auto source_hi = _mm256_unpackhi_epi8(source1, zero_256);
+      auto pix3 = _mm256_unpacklo_epi8(source_hi, _mm256_setzero_si256());
+      sss2 = _mm256_add_epi32(sss2, _mm256_madd_epi16(pix3, mmk));
+      auto pix4 = _mm256_unpackhi_epi8(source_hi, _mm256_setzero_si256());
+      sss3 = _mm256_add_epi32(sss3, _mm256_madd_epi16(pix4, mmk));
+    }
+    // Convert fixed point values back to integers (truncating)
+    sss0 = _mm256_srai_epi32(sss0, coefs_precision);
+    sss1 = _mm256_srai_epi32(sss1, coefs_precision);
+    sss2 = _mm256_srai_epi32(sss2, coefs_precision);
+    sss3 = _mm256_srai_epi32(sss3, coefs_precision);
+    // Convert packed signed 32-bit integers to packed 16-bit integers using signed saturation
+    // (a a a a b b b b c c c c d d d d) -> (a a b b c c d d)
+    sss0 = _mm256_packs_epi32(sss0, sss1);
+    sss2 = _mm256_packs_epi32(sss2, sss3);
+    // Convert packed signed 16-bit integers to packed 8-bit integers using unsigned saturation
+    // (a a b b c c d d) -> (a b c d)
+    sss0 = _mm256_packus_epi16(sss0, sss2);
+
+    // Stores 32 bytes
+    _mm256_storeu_si256((__m256i*)(lineOut + j), sss0);
+  }
+
+  // TODO: Do we also need block 4 ???
+  // block 2
+  const auto b2_usable_vec_stride = (8 / data_stride) * data_stride;
+  for (; j < data_size - vec_size / 4; j += b2_usable_vec_stride) {
+    auto sss0 = initial;
+    auto sss1 = initial;
+    int64_t i = 0;
+    const auto * lineIn_min = lineIn + j + ids_min;
+
+    for (; i < ids_size - 1; i += 2) {
+      // Load 2 values from weight vector
+      // mmk = [wl_0 wh_0 wl_1 wh_1  wl_0 wh_0 wl_1 wh_1  ... ]
+      auto mmk = _mm_set1_epi32(*(int32_t*)&k[i]);
+
+      // Load 2 pixels per line
+      // RGBA: source1 = [
+      //    r0 g0 b0 a0  r1 g1 b1 a1  0 0 0 0  0 0 0 0
+      // ]
+      // RGB: source1 = [
+      //    r0 g0 b0 r1  g1 b1 r2 g2  0 0 0 0  0 0 0 0
+      // ]
+      auto source1 = _mm_loadl_epi64((__m128i *) (lineIn_min + i * data_size));
+      auto source2 = _mm_loadl_epi64((__m128i *) (lineIn_min + (i + 1) * data_size));
+      // Interleave source1 and source2 and cast the result to epi16
+      // RGBA: pix = [
+      //    r0 0 R0 0  g0 0 G0 0  b0 0 B0 0  a0 0 A0 0
+      // ]
+      // RGB: pix = [
+      //    r0 0 R0 0  g0 0 G0 0  b0 0 B0 0  0 0 0 0
+      // ]
+      auto source = _mm_unpacklo_epi8(source1, source2);
+      auto pix = _mm_unpacklo_epi8(source, zero);
+      // Compute output value as C += w0 * c0 + w1 * C0 for each channel in 32-bit precision
+      sss0 = _mm_add_epi32(sss0, _mm_madd_epi16(pix, mmk));
+      // RGBA: pix = [
+      //    r1 0 R1 0  g1 0 G1 0  b1 0 B1 0  a1 0 A1 0
+      // ]
+      // RGB: pix = [
+      //    r1 0 R1 0  g1 0 G1 0  b1 0 B1 0  0 0 0 0
+      // ]
+      pix = _mm_unpackhi_epi8(source, zero);
+      // Compute output value as C += w0 * c1 + w1 * C1 for each channel in 32-bit precision
+      sss1 = _mm_add_epi32(sss1, _mm_madd_epi16(pix, mmk));
+    }
+    // Same processing as above but with a single weight value
+    for (; i < ids_size; i += 1) {
+      auto mmk = _mm_set1_epi32(k[i]);
+
+      auto source1 = _mm_loadl_epi64((__m128i*) (lineIn_min + i * data_size));
+
+      auto source = _mm_unpacklo_epi8(source1, zero);
+      auto pix1 = _mm_unpacklo_epi8(source, zero);
+      sss0 = _mm_add_epi32(sss0, _mm_madd_epi16(pix1, mmk));
+      auto pix2 = _mm_unpackhi_epi8(source, zero);
+      sss1 = _mm_add_epi32(sss1, _mm_madd_epi16(pix2, mmk));
+    }
+    // Convert fixed point values back to integers (truncating)
+    sss0 = _mm_srai_epi32(sss0, coefs_precision);
+    sss1 = _mm_srai_epi32(sss1, coefs_precision);
+    // Convert packed signed 32-bit integers to packed 16-bit integers using signed saturation
+    // (a a a a b b b b c c c c d d d d) -> (a a b b c c d d)
+    sss0 = _mm_packs_epi32(sss0, sss1);
+    // Convert packed signed 16-bit integers to packed 8-bit integers using unsigned saturation
+    // (a a b b c c d d) -> (a b c d)
+    sss0 = _mm_packus_epi16(sss0, sss0);
+    // Store 2 pixels to the output
+    _mm_storel_epi64((__m128i*)(lineOut + j), sss0);
+  }
+
+  // block 1
+  const auto b1_usable_vec_stride = (4 / data_stride) * data_stride;
+  const auto i32_aligned = num_channels == 4;
+  for (; j < data_size - 4; j += b1_usable_vec_stride) {
+    auto sss = initial;
+    int64_t i = 0;
+    const auto * lineIn_min = lineIn + j + ids_min;
+
+    for (; i < ids_size - 1; i += 2) {
+      // Load 2 values from weight vector
+      // mmk = [wl_0 wh_0 wl_1 wh_1  wl_0 wh_0 wl_1 wh_1  ... ]
+      auto mmk = _mm_set1_epi32(*(int32_t*)&k[i]);
+
+      // Load one pixel per line
+      // RGBA: source1 = [
+      //    r0 g0 b0 a0  0 0 0 0  0 0 0 0  0 0 0 0
+      // ]
+      // RGB: source1 = [
+      //    r0 g0 b0 r1  0 0 0 0  0 0 0 0  0 0 0 0
+      // ]
+      auto source1 = mm_cvtsi32_si128(lineIn_min + i * data_size, i32_aligned);
+      auto source2 = mm_cvtsi32_si128(lineIn_min + (i + 1) * data_size, i32_aligned);
+
+      // Interleave source1 and source2 and cast the result to epi16
+      // RGBA: pix = [
+      //    r0 0 R0 0  g0 0 G0 0  b0 0 B0 0  a0 0 A0 0
+      // ]
+      // RGB: pix = [
+      //    r0 0 R0 0  g0 0 G0 0  b0 0 B0 0  0 0 0 0
+      // ]
+      auto source = _mm_unpacklo_epi8(source1, source2);
+      auto pix = _mm_unpacklo_epi8(source, zero);
+      // Compute output value as C += w0 * c0 + w1 * C0 for each channel in 32-bit precision
+      sss = _mm_add_epi32(sss, _mm_madd_epi16(pix, mmk));
+    }
+
+    for (; i < ids_size; i++) {
+      auto mmk = _mm_set1_epi32(k[i]);
+      auto pix = mm_cvtepu8_epi32(lineIn_min + i * data_size, i32_aligned);
+      sss = _mm_add_epi32(sss, _mm_madd_epi16(pix, mmk));
+    }
+    sss = _mm_srai_epi32(sss, coefs_precision);
+    sss = _mm_packs_epi32(sss, zero);
+    sss = _mm_packus_epi16(sss, zero);
+
+    auto o = _mm_cvtsi128_si32(sss);
+
+    // Here we write 4 bytes to the output even if num_channels < 4, e.g o = {r,g,b,X} for num_channels=3
+    // It is OK to write 4th byte (e.g. X) as on the next step we will overwrite it with new data.
+    // We also wont go out of bounds of lineOut memory allocation
+    std::memcpy(lineOut + j, (uint8_t *) &o, 4);
+  }
+
+  for (; j < data_size; j += data_stride) {
+    auto sss = initial;
+    int64_t i = 0;
+    const auto * lineIn_min = lineIn + j + ids_min;
+    // For RGBA we can use (ids_size - 1) as tighter limit but for RGB we can read outside memory boundary
+    // for the last remaining line
+    for (; i < ids_size - 2; i += 2) {
+      // Load two coefficients at once
+      auto mmk = _mm_set1_epi32(*(int32_t*)&k[i]);
+
+      // Load 2 lines
+      auto source1 = mm_cvtsi32_si128(lineIn_min + i * data_size, i32_aligned);
+      auto source2 = mm_cvtsi32_si128(lineIn_min + (i + 1) * data_size, i32_aligned);
+
+      auto source = _mm_unpacklo_epi8(source1, source2);
+      auto pix = _mm_unpacklo_epi8(source, zero);
+      sss = _mm_add_epi32(sss, _mm_madd_epi16(pix, mmk));
+    }
+
+    // Same processing as above but with a single weight value
+    for (; i < ids_size; i++) {
+      auto mmk = _mm_set1_epi32(k[i]);
+
+      const uint8_t * p = lineIn_min + i * data_size;
+      __m128i pix;
+      // There is no much perf gain using more detailed condition like
+      // num_channels == 3 && ids_min + j + data_size * i + 4 >= in_max_size
+      // const int64_t in_max_size = data_size * in_ysize;
+      if (num_channels == 3) {
+        uint8_t input[4];
+        std::memcpy(input, p, 3);
+        pix = mm_cvtepu8_epi32(input, true);
+      } else {
+        pix = mm_cvtepu8_epi32(p, true);
+      }
+      sss = _mm_add_epi32(sss, _mm_madd_epi16(pix, mmk));
+    }
+
+    // Convert fixed point values back to integers (truncating)
+    sss = _mm_srai_epi32(sss, coefs_precision);
+    // Convert packed signed 32-bit integers to packed 16-bit integers using signed saturation
+    // (a a a a b b b b c c c c d d d d) -> (a a b b c c d d)
+    sss = _mm_packs_epi32(sss, zero);
+    // Convert packed signed 16-bit integers to packed 8-bit integers using unsigned saturation
+    // (a a b b c c d d) -> (a b c d)
+    sss = _mm_packus_epi16(sss, zero);
+    // Store one pixel to the output
+    auto o = _mm_cvtsi128_si32(sss);
+    if (num_channels == 3 && C10_UNLIKELY(j + 4 >= data_size)) {
+      std::memcpy(lineOut + j, (uint8_t *) &o, 3);
+    } else {
+      std::memcpy(lineOut + j, (uint8_t *) &o, 4);
+    }
+  }
+}
+
+} // anonymous namespace
+#endif // CPU_CAPABILITY_AVX2

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cpu/WeightNormKernel.h

@@ -0,0 +1,20 @@
+#pragma once
+#include <ATen/native/DispatchStub.h>
+#include <cstdint>
+
+namespace at {
+class TensorBase;
+}
+
+namespace at { namespace native {
+
+using weight_norm_fn = void(*)(
+    TensorBase&, TensorBase&, const TensorBase&, const TensorBase&, int64_t);
+using weight_norm_backward_fn = void(*)(
+    TensorBase&, TensorBase&, const TensorBase&, const TensorBase&,
+    const TensorBase&, const TensorBase&, int64_t);
+
+DECLARE_DISPATCH(weight_norm_fn, weight_norm_stub);
+DECLARE_DISPATCH(weight_norm_backward_fn, weight_norm_backward_stub);
+
+}}  // namespace at::native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cpu/avx_mathfun.h

@@ -0,0 +1,522 @@
+#pragma once
+/*
+   AVX implementation of sin, cos, sincos, exp and log
+
+   Based on "sse_mathfun.h", by Julien Pommier
+   http://gruntthepeon.free.fr/ssemath/
+
+   Copyright (C) 2012 Giovanni Garberoglio
+   Interdisciplinary Laboratory for Computational Science (LISC)
+   Fondazione Bruno Kessler and University of Trento
+   via Sommarive, 18
+   I-38123 Trento (Italy)
+
+  This software is provided 'as-is', without any express or implied
+  warranty.  In no event will the authors be held liable for any damages
+  arising from the use of this software.
+
+  Permission is granted to anyone to use this software for any purpose,
+  including commercial applications, and to alter it and redistribute it
+  freely, subject to the following restrictions:
+
+  1. The origin of this software must not be misrepresented; you must not
+     claim that you wrote the original software. If you use this software
+     in a product, an acknowledgment in the product documentation would be
+     appreciated but is not required.
+  2. Altered source versions must be plainly marked as such, and must not be
+     misrepresented as being the original software.
+  3. This notice may not be removed or altered from any source distribution.
+
+  (this is the zlib license)
+*/
+
+#include <ATen/native/cpu/Intrinsics.h>
+
+/* The original source of this file has been modified. */
+#if defined(CPU_CAPABILITY_AVX2)
+
+#if defined(__GNUC__)
+# define ALIGN32_BEG __attribute__((aligned(32)))
+#elif defined(_WIN32)
+# define ALIGN32_BEG __declspec(align(32))
+#endif
+
+typedef __m256  v8sf; // vector of 8 float (avx2)
+typedef __m256i v8si; // vector of 8 int   (avx2)
+
+/* declare some AVX constants -- why can't I figure a better way to do that? */
+#define _PS256_CONST(Name, Val)                                            \
+  static const ALIGN32_BEG float _ps256_##Name[8] = { Val, Val, Val, Val, Val, Val, Val, Val }
+#define _PI32_CONST256(Name, Val)                                            \
+  static const ALIGN32_BEG int _pi32_256_##Name[8] = { Val, Val, Val, Val, Val, Val, Val, Val }
+#define _PS256_CONST_TYPE(Name, Type, Val)                                 \
+  static const ALIGN32_BEG Type _ps256_##Name[8] = { Val, Val, Val, Val, Val, Val, Val, Val }
+
+_PS256_CONST(1  , 1.0f);
+_PS256_CONST(0p5, 0.5f);
+/* the smallest non denormalized float number */
+_PS256_CONST_TYPE(min_norm_pos, int, 0x00800000);
+_PS256_CONST_TYPE(mant_mask, int, 0x7f800000);
+_PS256_CONST_TYPE(inv_mant_mask, int, ~0x7f800000);
+
+_PS256_CONST_TYPE(sign_mask, int, (int)0x80000000);
+_PS256_CONST_TYPE(inv_sign_mask, int, ~0x80000000);
+
+_PI32_CONST256(0, 0);
+_PI32_CONST256(1, 1);
+_PI32_CONST256(inv1, ~1);
+_PI32_CONST256(2, 2);
+_PI32_CONST256(4, 4);
+_PI32_CONST256(0x7f, 0x7f);
+
+_PS256_CONST(cephes_SQRTHF, 0.707106781186547524);
+_PS256_CONST(cephes_log_p0, 7.0376836292E-2);
+_PS256_CONST(cephes_log_p1, - 1.1514610310E-1);
+_PS256_CONST(cephes_log_p2, 1.1676998740E-1);
+_PS256_CONST(cephes_log_p3, - 1.2420140846E-1);
+_PS256_CONST(cephes_log_p4, + 1.4249322787E-1);
+_PS256_CONST(cephes_log_p5, - 1.6668057665E-1);
+_PS256_CONST(cephes_log_p6, + 2.0000714765E-1);
+_PS256_CONST(cephes_log_p7, - 2.4999993993E-1);
+_PS256_CONST(cephes_log_p8, + 3.3333331174E-1);
+_PS256_CONST(cephes_log_q1, -2.12194440e-4);
+_PS256_CONST(cephes_log_q2, 0.693359375);
+
+
+/* natural logarithm computed for 8 simultaneous float
+   return NaN for x <= 0
+*/
+inline v8sf log256_ps(v8sf x) {
+  v8si imm0;
+  v8sf one = *(v8sf*)_ps256_1;
+
+  //v8sf invalid_mask = _mm256_cmple_ps(x, _mm256_setzero_ps());
+  v8sf invalid_mask = _mm256_cmp_ps(x, _mm256_setzero_ps(), _CMP_LE_OS);
+
+  x = _mm256_max_ps(x, *(v8sf*)_ps256_min_norm_pos);  /* cut off denormalized stuff */
+
+  // can be done with AVX2
+  imm0 = _mm256_srli_epi32(_mm256_castps_si256(x), 23);
+
+  /* keep only the fractional part */
+  x = _mm256_and_ps(x, *(v8sf*)_ps256_inv_mant_mask);
+  x = _mm256_or_ps(x, *(v8sf*)_ps256_0p5);
+
+  // this is again another AVX2 instruction
+  imm0 = _mm256_sub_epi32(imm0, *(v8si*)_pi32_256_0x7f);
+  v8sf e = _mm256_cvtepi32_ps(imm0);
+
+  e = _mm256_add_ps(e, one);
+
+  /* part2:
+     if( x < SQRTHF ) {
+       e -= 1;
+       x = x + x - 1.0;
+     } else { x = x - 1.0; }
+  */
+  //v8sf mask = _mm256_cmplt_ps(x, *(v8sf*)_ps256_cephes_SQRTHF);
+  v8sf mask = _mm256_cmp_ps(x, *(v8sf*)_ps256_cephes_SQRTHF, _CMP_LT_OS);
+  v8sf tmp = _mm256_and_ps(x, mask);
+  x = _mm256_sub_ps(x, one);
+  e = _mm256_sub_ps(e, _mm256_and_ps(one, mask));
+  x = _mm256_add_ps(x, tmp);
+
+  v8sf z = _mm256_mul_ps(x,x);
+
+  v8sf y = *(v8sf*)_ps256_cephes_log_p0;
+  y = _mm256_mul_ps(y, x);
+  y = _mm256_add_ps(y, *(v8sf*)_ps256_cephes_log_p1);
+  y = _mm256_mul_ps(y, x);
+  y = _mm256_add_ps(y, *(v8sf*)_ps256_cephes_log_p2);
+  y = _mm256_mul_ps(y, x);
+  y = _mm256_add_ps(y, *(v8sf*)_ps256_cephes_log_p3);
+  y = _mm256_mul_ps(y, x);
+  y = _mm256_add_ps(y, *(v8sf*)_ps256_cephes_log_p4);
+  y = _mm256_mul_ps(y, x);
+  y = _mm256_add_ps(y, *(v8sf*)_ps256_cephes_log_p5);
+  y = _mm256_mul_ps(y, x);
+  y = _mm256_add_ps(y, *(v8sf*)_ps256_cephes_log_p6);
+  y = _mm256_mul_ps(y, x);
+  y = _mm256_add_ps(y, *(v8sf*)_ps256_cephes_log_p7);
+  y = _mm256_mul_ps(y, x);
+  y = _mm256_add_ps(y, *(v8sf*)_ps256_cephes_log_p8);
+  y = _mm256_mul_ps(y, x);
+
+  y = _mm256_mul_ps(y, z);
+
+  tmp = _mm256_mul_ps(e, *(v8sf*)_ps256_cephes_log_q1);
+  y = _mm256_add_ps(y, tmp);
+
+
+  tmp = _mm256_mul_ps(z, *(v8sf*)_ps256_0p5);
+  y = _mm256_sub_ps(y, tmp);
+
+  tmp = _mm256_mul_ps(e, *(v8sf*)_ps256_cephes_log_q2);
+  x = _mm256_add_ps(x, y);
+  x = _mm256_add_ps(x, tmp);
+  x = _mm256_or_ps(x, invalid_mask); // negative arg will be NAN
+  return x;
+}
+
+_PS256_CONST(exp_hi,        88.3762626647949f);
+_PS256_CONST(exp_lo,        -88.3762626647949f);
+
+_PS256_CONST(cephes_LOG2EF, 1.44269504088896341);
+_PS256_CONST(cephes_exp_C1, 0.693359375);
+_PS256_CONST(cephes_exp_C2, -2.12194440e-4);
+
+_PS256_CONST(cephes_exp_p0, 1.9875691500E-4);
+_PS256_CONST(cephes_exp_p1, 1.3981999507E-3);
+_PS256_CONST(cephes_exp_p2, 8.3334519073E-3);
+_PS256_CONST(cephes_exp_p3, 4.1665795894E-2);
+_PS256_CONST(cephes_exp_p4, 1.6666665459E-1);
+_PS256_CONST(cephes_exp_p5, 5.0000001201E-1);
+
+inline v8sf exp256_ps(v8sf x) {
+  v8sf tmp = _mm256_setzero_ps(), fx;
+  v8si imm0;
+  v8sf one = *(v8sf*)_ps256_1;
+
+  x = _mm256_min_ps(x, *(v8sf*)_ps256_exp_hi);
+  x = _mm256_max_ps(x, *(v8sf*)_ps256_exp_lo);
+
+  /* express exp(x) as exp(g + n*log(2)) */
+  fx = _mm256_mul_ps(x, *(v8sf*)_ps256_cephes_LOG2EF);
+  fx = _mm256_add_ps(fx, *(v8sf*)_ps256_0p5);
+
+  /* how to perform a floorf with SSE: just below */
+  //imm0 = _mm256_cvttps_epi32(fx);
+  //tmp  = _mm256_cvtepi32_ps(imm0);
+
+  tmp = _mm256_floor_ps(fx);
+
+  /* if greater, subtract 1 */
+  //v8sf mask = _mm256_cmpgt_ps(tmp, fx);
+  v8sf mask = _mm256_cmp_ps(tmp, fx, _CMP_GT_OS);
+  mask = _mm256_and_ps(mask, one);
+  fx = _mm256_sub_ps(tmp, mask);
+
+  tmp = _mm256_mul_ps(fx, *(v8sf*)_ps256_cephes_exp_C1);
+  v8sf z = _mm256_mul_ps(fx, *(v8sf*)_ps256_cephes_exp_C2);
+  x = _mm256_sub_ps(x, tmp);
+  x = _mm256_sub_ps(x, z);
+
+  z = _mm256_mul_ps(x,x);
+
+  v8sf y = *(v8sf*)_ps256_cephes_exp_p0;
+  y = _mm256_mul_ps(y, x);
+  y = _mm256_add_ps(y, *(v8sf*)_ps256_cephes_exp_p1);
+  y = _mm256_mul_ps(y, x);
+  y = _mm256_add_ps(y, *(v8sf*)_ps256_cephes_exp_p2);
+  y = _mm256_mul_ps(y, x);
+  y = _mm256_add_ps(y, *(v8sf*)_ps256_cephes_exp_p3);
+  y = _mm256_mul_ps(y, x);
+  y = _mm256_add_ps(y, *(v8sf*)_ps256_cephes_exp_p4);
+  y = _mm256_mul_ps(y, x);
+  y = _mm256_add_ps(y, *(v8sf*)_ps256_cephes_exp_p5);
+  y = _mm256_mul_ps(y, z);
+  y = _mm256_add_ps(y, x);
+  y = _mm256_add_ps(y, one);
+
+  /* build 2^n */
+  imm0 = _mm256_cvttps_epi32(fx);
+  // another two AVX2 instructions
+  imm0 = _mm256_add_epi32(imm0, *(v8si*)_pi32_256_0x7f);
+  imm0 = _mm256_slli_epi32(imm0, 23);
+  v8sf pow2n = _mm256_castsi256_ps(imm0);
+  y = _mm256_mul_ps(y, pow2n);
+  return y;
+}
+
+_PS256_CONST(minus_cephes_DP1, -0.78515625);
+_PS256_CONST(minus_cephes_DP2, -2.4187564849853515625e-4);
+_PS256_CONST(minus_cephes_DP3, -3.77489497744594108e-8);
+_PS256_CONST(sincof_p0, -1.9515295891E-4);
+_PS256_CONST(sincof_p1,  8.3321608736E-3);
+_PS256_CONST(sincof_p2, -1.6666654611E-1);
+_PS256_CONST(coscof_p0,  2.443315711809948E-005);
+_PS256_CONST(coscof_p1, -1.388731625493765E-003);
+_PS256_CONST(coscof_p2,  4.166664568298827E-002);
+_PS256_CONST(cephes_FOPI, 1.27323954473516); // 4 / M_PI
+
+
+/* evaluation of 8 sines at onces using AVX intrisics
+
+   The code is the exact rewriting of the cephes sinf function.
+   Precision is excellent as long as x < 8192 (I did not bother to
+   take into account the special handling they have for greater values
+   -- it does not return garbage for arguments over 8192, though, but
+   the extra precision is missing).
+
+   Note that it is such that sinf((float)M_PI) = 8.74e-8, which is the
+   surprising but correct result.
+
+*/
+inline v8sf sin256_ps(v8sf x) { // any x
+  v8sf xmm1, xmm2 = _mm256_setzero_ps(), xmm3, sign_bit, y;
+  v8si imm0, imm2;
+
+  sign_bit = x;
+  /* take the absolute value */
+  x = _mm256_and_ps(x, *(v8sf*)_ps256_inv_sign_mask);
+  /* extract the sign bit (upper one) */
+  sign_bit = _mm256_and_ps(sign_bit, *(v8sf*)_ps256_sign_mask);
+
+  /* scale by 4/Pi */
+  y = _mm256_mul_ps(x, *(v8sf*)_ps256_cephes_FOPI);
+
+  /*
+    Here we start a series of integer operations, which are in the
+    realm of AVX2.
+    If we don't have AVX, let's perform them using SSE2 directives
+  */
+
+  /* store the integer part of y in mm0 */
+  imm2 = _mm256_cvttps_epi32(y);
+  /* j=(j+1) & (~1) (see the cephes sources) */
+  // another two AVX2 instruction
+  imm2 = _mm256_add_epi32(imm2, *(v8si*)_pi32_256_1);
+  imm2 = _mm256_and_si256(imm2, *(v8si*)_pi32_256_inv1);
+  y = _mm256_cvtepi32_ps(imm2);
+
+  /* get the swap sign flag */
+  imm0 = _mm256_and_si256(imm2, *(v8si*)_pi32_256_4);
+  imm0 = _mm256_slli_epi32(imm0, 29);
+  /* get the polynom selection mask
+     there is one polynom for 0 <= x <= Pi/4
+     and another one for Pi/4<x<=Pi/2
+
+     Both branches will be computed.
+  */
+  imm2 = _mm256_and_si256(imm2, *(v8si*)_pi32_256_2);
+  imm2 = _mm256_cmpeq_epi32(imm2,*(v8si*)_pi32_256_0);
+
+  v8sf swap_sign_bit = _mm256_castsi256_ps(imm0);
+  v8sf poly_mask = _mm256_castsi256_ps(imm2);
+  sign_bit = _mm256_xor_ps(sign_bit, swap_sign_bit);
+
+  /* The magic pass: "Extended precision modular arithmetic"
+     x = ((x - y * DP1) - y * DP2) - y * DP3; */
+  xmm1 = *(v8sf*)_ps256_minus_cephes_DP1;
+  xmm2 = *(v8sf*)_ps256_minus_cephes_DP2;
+  xmm3 = *(v8sf*)_ps256_minus_cephes_DP3;
+  xmm1 = _mm256_mul_ps(y, xmm1);
+  xmm2 = _mm256_mul_ps(y, xmm2);
+  xmm3 = _mm256_mul_ps(y, xmm3);
+  x = _mm256_add_ps(x, xmm1);
+  x = _mm256_add_ps(x, xmm2);
+  x = _mm256_add_ps(x, xmm3);
+
+  /* Evaluate the first polynom  (0 <= x <= Pi/4) */
+  y = *(v8sf*)_ps256_coscof_p0;
+  v8sf z = _mm256_mul_ps(x,x);
+
+  y = _mm256_mul_ps(y, z);
+  y = _mm256_add_ps(y, *(v8sf*)_ps256_coscof_p1);
+  y = _mm256_mul_ps(y, z);
+  y = _mm256_add_ps(y, *(v8sf*)_ps256_coscof_p2);
+  y = _mm256_mul_ps(y, z);
+  y = _mm256_mul_ps(y, z);
+  v8sf tmp = _mm256_mul_ps(z, *(v8sf*)_ps256_0p5);
+  y = _mm256_sub_ps(y, tmp);
+  y = _mm256_add_ps(y, *(v8sf*)_ps256_1);
+
+  /* Evaluate the second polynom  (Pi/4 <= x <= 0) */
+
+  v8sf y2 = *(v8sf*)_ps256_sincof_p0;
+  y2 = _mm256_mul_ps(y2, z);
+  y2 = _mm256_add_ps(y2, *(v8sf*)_ps256_sincof_p1);
+  y2 = _mm256_mul_ps(y2, z);
+  y2 = _mm256_add_ps(y2, *(v8sf*)_ps256_sincof_p2);
+  y2 = _mm256_mul_ps(y2, z);
+  y2 = _mm256_mul_ps(y2, x);
+  y2 = _mm256_add_ps(y2, x);
+
+  /* select the correct result from the two polynoms */
+  xmm3 = poly_mask;
+  y2 = _mm256_and_ps(xmm3, y2); //, xmm3);
+  y = _mm256_andnot_ps(xmm3, y);
+  y = _mm256_add_ps(y,y2);
+  /* update the sign */
+  y = _mm256_xor_ps(y, sign_bit);
+
+  return y;
+}
+
+/* almost the same as sin_ps */
+inline v8sf cos256_ps(v8sf x) { // any x
+  v8sf xmm1, xmm2 = _mm256_setzero_ps(), xmm3, y;
+  v8si imm0, imm2;
+
+  /* take the absolute value */
+  x = _mm256_and_ps(x, *(v8sf*)_ps256_inv_sign_mask);
+
+  /* scale by 4/Pi */
+  y = _mm256_mul_ps(x, *(v8sf*)_ps256_cephes_FOPI);
+
+  /* store the integer part of y in mm0 */
+  imm2 = _mm256_cvttps_epi32(y);
+  /* j=(j+1) & (~1) (see the cephes sources) */
+  imm2 = _mm256_add_epi32(imm2, *(v8si*)_pi32_256_1);
+  imm2 = _mm256_and_si256(imm2, *(v8si*)_pi32_256_inv1);
+  y = _mm256_cvtepi32_ps(imm2);
+  imm2 = _mm256_sub_epi32(imm2, *(v8si*)_pi32_256_2);
+
+  /* get the swap sign flag */
+  imm0 =  _mm256_andnot_si256(imm2, *(v8si*)_pi32_256_4);
+  imm0 = _mm256_slli_epi32(imm0, 29);
+  /* get the polynom selection mask */
+  imm2 = _mm256_and_si256(imm2, *(v8si*)_pi32_256_2);
+  imm2 = _mm256_cmpeq_epi32(imm2, *(v8si*)_pi32_256_0);
+
+  v8sf sign_bit = _mm256_castsi256_ps(imm0);
+  v8sf poly_mask = _mm256_castsi256_ps(imm2);
+
+  /* The magic pass: "Extended precision modular arithmetic"
+     x = ((x - y * DP1) - y * DP2) - y * DP3; */
+  xmm1 = *(v8sf*)_ps256_minus_cephes_DP1;
+  xmm2 = *(v8sf*)_ps256_minus_cephes_DP2;
+  xmm3 = *(v8sf*)_ps256_minus_cephes_DP3;
+  xmm1 = _mm256_mul_ps(y, xmm1);
+  xmm2 = _mm256_mul_ps(y, xmm2);
+  xmm3 = _mm256_mul_ps(y, xmm3);
+  x = _mm256_add_ps(x, xmm1);
+  x = _mm256_add_ps(x, xmm2);
+  x = _mm256_add_ps(x, xmm3);
+
+  /* Evaluate the first polynom  (0 <= x <= Pi/4) */
+  y = *(v8sf*)_ps256_coscof_p0;
+  v8sf z = _mm256_mul_ps(x,x);
+
+  y = _mm256_mul_ps(y, z);
+  y = _mm256_add_ps(y, *(v8sf*)_ps256_coscof_p1);
+  y = _mm256_mul_ps(y, z);
+  y = _mm256_add_ps(y, *(v8sf*)_ps256_coscof_p2);
+  y = _mm256_mul_ps(y, z);
+  y = _mm256_mul_ps(y, z);
+  v8sf tmp = _mm256_mul_ps(z, *(v8sf*)_ps256_0p5);
+  y = _mm256_sub_ps(y, tmp);
+  y = _mm256_add_ps(y, *(v8sf*)_ps256_1);
+
+  /* Evaluate the second polynom  (Pi/4 <= x <= 0) */
+
+  v8sf y2 = *(v8sf*)_ps256_sincof_p0;
+  y2 = _mm256_mul_ps(y2, z);
+  y2 = _mm256_add_ps(y2, *(v8sf*)_ps256_sincof_p1);
+  y2 = _mm256_mul_ps(y2, z);
+  y2 = _mm256_add_ps(y2, *(v8sf*)_ps256_sincof_p2);
+  y2 = _mm256_mul_ps(y2, z);
+  y2 = _mm256_mul_ps(y2, x);
+  y2 = _mm256_add_ps(y2, x);
+
+  /* select the correct result from the two polynoms */
+  xmm3 = poly_mask;
+  y2 = _mm256_and_ps(xmm3, y2); //, xmm3);
+  y = _mm256_andnot_ps(xmm3, y);
+  y = _mm256_add_ps(y,y2);
+  /* update the sign */
+  y = _mm256_xor_ps(y, sign_bit);
+
+  return y;
+}
+
+/* since sin256_ps and cos256_ps are almost identical, sincos256_ps could replace both of them..
+   it is almost as fast, and gives you a free cosine with your sine */
+inline void sincos256_ps(v8sf x, v8sf *s, v8sf *c) {
+
+  v8sf xmm1, xmm2, xmm3 = _mm256_setzero_ps(), sign_bit_sin, y;
+  v8si imm0, imm2, imm4;
+
+  sign_bit_sin = x;
+  /* take the absolute value */
+  x = _mm256_and_ps(x, *(v8sf*)_ps256_inv_sign_mask);
+  /* extract the sign bit (upper one) */
+  sign_bit_sin = _mm256_and_ps(sign_bit_sin, *(v8sf*)_ps256_sign_mask);
+
+  /* scale by 4/Pi */
+  y = _mm256_mul_ps(x, *(v8sf*)_ps256_cephes_FOPI);
+
+  /* store the integer part of y in imm2 */
+  imm2 = _mm256_cvttps_epi32(y);
+
+  /* j=(j+1) & (~1) (see the cephes sources) */
+  imm2 = _mm256_add_epi32(imm2, *(v8si*)_pi32_256_1);
+  imm2 = _mm256_and_si256(imm2, *(v8si*)_pi32_256_inv1);
+
+  y = _mm256_cvtepi32_ps(imm2);
+  imm4 = imm2;
+
+  /* get the swap sign flag for the sine */
+  imm0 = _mm256_and_si256(imm2, *(v8si*)_pi32_256_4);
+  imm0 = _mm256_slli_epi32(imm0, 29);
+  //v8sf swap_sign_bit_sin = _mm256_castsi256_ps(imm0);
+
+  /* get the polynom selection mask for the sine*/
+  imm2 = _mm256_and_si256(imm2, *(v8si*)_pi32_256_2);
+  imm2 = _mm256_cmpeq_epi32(imm2, *(v8si*)_pi32_256_0);
+  //v8sf poly_mask = _mm256_castsi256_ps(imm2);
+
+  v8sf swap_sign_bit_sin = _mm256_castsi256_ps(imm0);
+  v8sf poly_mask = _mm256_castsi256_ps(imm2);
+
+  /* The magic pass: "Extended precision modular arithmetic"
+     x = ((x - y * DP1) - y * DP2) - y * DP3; */
+  xmm1 = *(v8sf*)_ps256_minus_cephes_DP1;
+  xmm2 = *(v8sf*)_ps256_minus_cephes_DP2;
+  xmm3 = *(v8sf*)_ps256_minus_cephes_DP3;
+  xmm1 = _mm256_mul_ps(y, xmm1);
+  xmm2 = _mm256_mul_ps(y, xmm2);
+  xmm3 = _mm256_mul_ps(y, xmm3);
+  x = _mm256_add_ps(x, xmm1);
+  x = _mm256_add_ps(x, xmm2);
+  x = _mm256_add_ps(x, xmm3);
+
+  imm4 = _mm256_sub_epi32(imm4, *(v8si*)_pi32_256_2);
+  imm4 =  _mm256_andnot_si256(imm4, *(v8si*)_pi32_256_4);
+  imm4 = _mm256_slli_epi32(imm4, 29);
+
+  v8sf sign_bit_cos = _mm256_castsi256_ps(imm4);
+
+  sign_bit_sin = _mm256_xor_ps(sign_bit_sin, swap_sign_bit_sin);
+
+  /* Evaluate the first polynom  (0 <= x <= Pi/4) */
+  v8sf z = _mm256_mul_ps(x,x);
+  y = *(v8sf*)_ps256_coscof_p0;
+
+  y = _mm256_mul_ps(y, z);
+  y = _mm256_add_ps(y, *(v8sf*)_ps256_coscof_p1);
+  y = _mm256_mul_ps(y, z);
+  y = _mm256_add_ps(y, *(v8sf*)_ps256_coscof_p2);
+  y = _mm256_mul_ps(y, z);
+  y = _mm256_mul_ps(y, z);
+  v8sf tmp = _mm256_mul_ps(z, *(v8sf*)_ps256_0p5);
+  y = _mm256_sub_ps(y, tmp);
+  y = _mm256_add_ps(y, *(v8sf*)_ps256_1);
+
+  /* Evaluate the second polynom  (Pi/4 <= x <= 0) */
+
+  v8sf y2 = *(v8sf*)_ps256_sincof_p0;
+  y2 = _mm256_mul_ps(y2, z);
+  y2 = _mm256_add_ps(y2, *(v8sf*)_ps256_sincof_p1);
+  y2 = _mm256_mul_ps(y2, z);
+  y2 = _mm256_add_ps(y2, *(v8sf*)_ps256_sincof_p2);
+  y2 = _mm256_mul_ps(y2, z);
+  y2 = _mm256_mul_ps(y2, x);
+  y2 = _mm256_add_ps(y2, x);
+
+  /* select the correct result from the two polynoms */
+  xmm3 = poly_mask;
+  v8sf ysin2 = _mm256_and_ps(xmm3, y2);
+  v8sf ysin1 = _mm256_andnot_ps(xmm3, y);
+  y2 = _mm256_sub_ps(y2,ysin2);
+  y = _mm256_sub_ps(y, ysin1);
+
+  xmm1 = _mm256_add_ps(ysin1,ysin2);
+  xmm2 = _mm256_add_ps(y,y2);
+
+  /* update the sign */
+  *s = _mm256_xor_ps(xmm1, sign_bit_sin);
+  *c = _mm256_xor_ps(xmm2, sign_bit_cos);
+}
+
+#endif // CPU_CAPABILITY_AVX2

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cpu/moments_utils.h

@@ -0,0 +1,207 @@
+#pragma once
+
+#include <array>
+#include <cstring>
+#include <numeric>
+#include <utility>
+#include <vector>
+
+#include <ATen/Parallel.h>
+#include <ATen/OpMathType.h>
+#include <ATen/cpu/vec/vec.h>
+#include <ATen/native/cpu/utils.h>
+#include <c10/util/SmallVector.h>
+#include <c10/util/irange.h>
+
+namespace at {
+namespace native {
+inline namespace CPU_CAPABILITY {
+
+template<typename T> using opmath_t = at::opmath_type<T>;
+
+constexpr int64_t kChunkSize = 16;
+
+template <typename T>
+void AddMoments(
+    int64_t m0_add,
+    const T& m1_add,
+    const T& m2_add,
+    int64_t& m0,
+    T& m1,
+    T& m2) {
+  const int64_t n = m0 + m0_add;
+  const T c = n == 0 ? static_cast<T>(0) : static_cast<T>(m0_add) / static_cast<T>(n);
+  const T delta = m1_add - m1;
+  m1 += c * delta;
+  m2 += m2_add + delta * delta * c * static_cast<T>(m0);
+  m0 = n;
+}
+
+template <typename T>
+C10_ALWAYS_INLINE void AddMomentsVec(
+    int64_t m0_add,
+    const vec::Vectorized<T>& m1_add,
+    const vec::Vectorized<T>& m2_add,
+    int64_t& m0,
+    vec::Vectorized<T>& m1,
+    vec::Vectorized<T>& m2) {
+  using Vec = vec::Vectorized<T>;
+  const int64_t n = m0 + m0_add;
+  const T c = n == 0 ? static_cast<T>(0) : static_cast<T>(m0_add) / static_cast<T>(n);
+  const Vec c_vec(c);
+  const Vec delta = m1_add - m1;
+  m1 += c_vec * delta;
+  m2 += m2_add + delta * delta * c_vec * Vec(static_cast<T>(m0));
+  m0 = n;
+}
+
+template <typename T>
+inline typename std::enable_if<std::is_same<T, opmath_t<T>>::value, void>::type
+UpdateMomentsVec(
+    int64_t m0,
+    const T* X_ptr,
+    const std::array<vec::Vectorized<opmath_t<T>>, kChunkSize>& c_vecs,
+    int64_t& m0_stk0,
+    vec::Vectorized<opmath_t<T>>& m1_stk0,
+    vec::Vectorized<opmath_t<T>>& m2_stk0) {
+  using Vec = vec::Vectorized<opmath_t<T>>;
+  Vec m1_vec(0);
+  Vec m2_vec(0);
+  for (const auto j : c10::irange(m0)) {
+    const Vec x_vec = Vec::loadu(X_ptr + j * Vec::size());
+    const Vec delta_vec = x_vec - m1_vec;
+    m1_vec += delta_vec * c_vecs[j];
+    m2_vec += delta_vec * (x_vec - m1_vec);
+  }
+  AddMomentsVec(m0, m1_vec, m2_vec, m0_stk0, m1_stk0, m2_stk0);
+}
+
+// each bfloat16 vector will be converted to two float vectors,
+// and accumulated successively on m1_stk0/m2_stk0.
+template <typename T>
+inline typename std::enable_if<!std::is_same<T, at::opmath_type<T>>::value, void>::type
+UpdateMomentsVec(
+    int64_t m0,
+    const T* X_ptr,
+    const std::array<vec::Vectorized<at::opmath_type<T>>, kChunkSize>& c_vecs,
+    int64_t& m0_stk0,
+    vec::Vectorized<at::opmath_type<T>>& m1_stk0,
+    vec::Vectorized<at::opmath_type<T>>& m2_stk0) {
+  using Vec = vec::Vectorized<T>;
+  using fVec = vec::Vectorized<at::opmath_type<T>>;
+  fVec m1_fvec0(0), m1_fvec1(0);
+  fVec m2_fvec0(0), m2_fvec1(0);
+  for (const auto j : c10::irange(m0)) {
+    const Vec x_bvec = Vec::loadu(X_ptr + j * Vec::size());
+    fVec x_fvec0, x_fvec1;
+    std::tie(x_fvec0, x_fvec1) = convert_to_float<T>(x_bvec);
+    const fVec delta_fvec0 = x_fvec0 - m1_fvec0;
+    const fVec delta_fvec1 = x_fvec1 - m1_fvec1;
+    m1_fvec0 += delta_fvec0 * c_vecs[j];
+    m1_fvec1 += delta_fvec1 * c_vecs[j];
+    m2_fvec0 += delta_fvec0 * (x_fvec0 - m1_fvec0);
+    m2_fvec1 += delta_fvec1 * (x_fvec1 - m1_fvec1);
+  }
+  AddMomentsVec(m0, m1_fvec0, m2_fvec0, m0_stk0, m1_stk0, m2_stk0);
+  AddMomentsVec(m0, m1_fvec1, m2_fvec1, m0_stk0, m1_stk0, m2_stk0);
+}
+
+// Compute rowwise moments by Welford algorithm and cascade sum to improve
+// numerical stability.
+// https://en.wikipedia.org/wiki/Algorithms_for_calculating_variance
+// https://en.wikipedia.org/wiki/Pairwise_summation
+template <typename T, int64_t kMaxDepth>
+std::pair<opmath_t<T>, opmath_t<T>> RowwiseMomentsImpl(const T* X, int64_t N, int64_t ddof = 0) {
+  using math_t = opmath_t<T>;
+
+  constexpr int64_t kVecSize = vec::Vectorized<T>::size();
+  constexpr int64_t kAccVecSize = vec::Vectorized<math_t>::size();
+  const int64_t n = N / kVecSize;
+  const int64_t m = divup(n, kChunkSize);
+  const int64_t depth = utils::CeilLog2(m);
+
+  using Vec = vec::Vectorized<math_t>;
+  const Vec kZeroVec(math_t(0));
+  c10::SmallVector<int64_t, kMaxDepth> m0_stk(depth, 0);
+  c10::SmallVector<Vec, kMaxDepth> m1_stk(depth, kZeroVec);
+  c10::SmallVector<Vec, kMaxDepth> m2_stk(depth, kZeroVec);
+
+  for (const auto i : c10::irange(m)) {
+    const T* X_ptr = X + i * kChunkSize * kVecSize;
+    const int64_t m0 = std::min(kChunkSize, n - i * kChunkSize);
+    static std::array<Vec, kChunkSize> c_vecs = ([]() {
+      std::array<Vec, kChunkSize> result;
+      for (const auto i : c10::irange(kChunkSize)) {
+        result[i] = Vec(math_t(1) / static_cast<math_t>(i + 1));
+      }
+      return result;
+    })();
+    UpdateMomentsVec(m0, X_ptr, c_vecs, m0_stk[0], m1_stk[0], m2_stk[0]);
+
+    int64_t mask = i + 1;
+    for (int64_t j = 1; j < depth && (mask & 1) == 0; ++j) {
+      AddMomentsVec(
+          m0_stk[j - 1],
+          m1_stk[j - 1],
+          m2_stk[j - 1],
+          m0_stk[j],
+          m1_stk[j],
+          m2_stk[j]);
+      m0_stk[j - 1] = 0;
+      m1_stk[j - 1] = kZeroVec;
+      m2_stk[j - 1] = kZeroVec;
+      mask >>= 1;
+    }
+  }
+  for (const auto i : c10::irange(1, depth)) {
+    AddMomentsVec(
+        m0_stk[i], m1_stk[i], m2_stk[i], m0_stk[0], m1_stk[0], m2_stk[0]);
+  }
+
+  std::array<math_t, kAccVecSize> m1_arr{};
+  std::array<math_t, kAccVecSize> m2_arr{};
+  m1_stk[0].store(m1_arr.data());
+  m2_stk[0].store(m2_arr.data());
+
+  int64_t m0 = 0;
+  math_t m1 = 0;
+  math_t m2 = 0;
+  for (int64_t i = n * kVecSize; i < N; ++i) {
+    math_t x = static_cast<math_t>(X[i]);
+    const math_t delta = x - m1;
+    ++m0;
+    m1 += delta / static_cast<math_t>(m0);
+    m2 += delta * (x - m1);
+  }
+  // for BFloat16, each vector in m1_arr/m2_arr holds 2*n accumulated result
+  int64_t m0_add = n * kVecSize / kAccVecSize;
+  for (const auto i : c10::irange(kAccVecSize)) {
+    AddMoments(m0_add, m1_arr[i], m2_arr[i], m0, m1, m2);
+  }
+
+  return std::make_pair(m1, m2 / static_cast<math_t>(N - ddof));
+}
+
+template <typename T>
+std::pair<opmath_t<T>, opmath_t<T>> RowwiseMoments(const T* X, int64_t N, int64_t ddof = 0) {
+  using Vec = vec::Vectorized<T>;
+  constexpr int64_t kVecSize = Vec::size();
+  const int64_t n = N / kVecSize;
+  const int64_t m = divup(n, kChunkSize);
+  const int64_t depth = utils::CeilLog2(m);
+  if (depth <= 4) {
+    return RowwiseMomentsImpl<T, 4>(X, N, ddof);
+  } else if (depth <= 8) {
+    return RowwiseMomentsImpl<T, 8>(X, N, ddof);
+  } else if (depth <= 16) {
+    return RowwiseMomentsImpl<T, 16>(X, N, ddof);
+  } else if (depth <= 32) {
+    return RowwiseMomentsImpl<T, 32>(X, N, ddof);
+  } else {
+    return RowwiseMomentsImpl<T, 64>(X, N, ddof);
+  }
+}
+
+} // namespace CPU_CAPABILITY
+} // namespace native
+} // namespace at

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cpu/utils.h

@@ -0,0 +1,184 @@
+#pragma once
+
+#include <ATen/Parallel.h>
+#include <ATen/cpu/vec/vec.h>
+#include <c10/util/llvmMathExtras.h>
+
+#ifdef USE_FBGEMM
+#include <fbgemm/Fbgemm.h>
+#endif
+
+namespace at {
+namespace native {
+
+inline namespace CPU_CAPABILITY {
+
+template <typename T>
+inline T data_index_init(T offset) {
+  return offset;
+}
+
+template <typename T, typename... Args>
+inline T data_index_init(T offset, T& x, const T& X, Args&&... args) {
+  offset = data_index_init(offset, std::forward<Args>(args)...);
+  x = offset % X;
+  return offset / X;
+}
+
+inline bool data_index_step() {
+  return true;
+}
+
+template <typename T, typename... Args>
+inline bool data_index_step(T& x, const T& X, Args&&... args) {
+  if (data_index_step(std::forward<Args>(args)...)) {
+    x = ((x + 1) == X) ? 0 : (x + 1);
+    return x == 0;
+  }
+  return false;
+}
+
+// Helper struct for bfloat16 vectorization
+// Useful when you need float as immediate dtype or accumulate dtype
+using namespace vec;
+struct Vec2 {
+  Vectorized<float> val0, val1;
+  Vec2(Vectorized<float> v0, Vectorized<float> v1) : val0(v0), val1(v1) {}
+  Vec2(float v) : val0(v), val1(v) {}
+  static Vec2 loadu(const BFloat16* ptr) {
+    Vectorized<float> v0, v1;
+    std::tie(v0, v1) = convert_bfloat16_float(Vectorized<BFloat16>::loadu(ptr));
+    return {v0, v1};
+  }
+  static Vec2 loadu(const float* ptr) {
+    return {Vectorized<float>::loadu(ptr), Vectorized<float>::loadu(ptr + Vectorized<float>::size())};
+  }
+  void store(BFloat16* ptr) const {
+    Vectorized<BFloat16> val = convert_float_bfloat16(val0, val1);
+    val.store(ptr);
+  }
+  void store(float* ptr) const {
+    val0.store(ptr);
+    val1.store(ptr + Vectorized<float>::size());
+  }
+};
+inline Vec2 operator+(const Vec2& a, const Vec2& b) { return {a.val0 + b.val0, a.val1 + b.val1}; }
+inline Vec2 operator*(const Vec2& a, const Vec2& b) { return {a.val0 * b.val0, a.val1 * b.val1}; }
+inline Vec2 operator-(const Vec2& a, const Vec2& b) { return {a.val0 - b.val0, a.val1 - b.val1}; }
+inline Vec2 operator/(const Vec2& a, const Vec2& b) { return {a.val0 / b.val0, a.val1 / b.val1}; }
+inline Vec2 maximum(const Vec2& a, const Vec2& b) { return {vec::maximum(a.val0, b.val0), vec::maximum(a.val1, b.val1)}; }
+inline Vec2 minimum(const Vec2& a, const Vec2& b) { return {vec::minimum(a.val0, b.val0), vec::minimum(a.val1, b.val1)}; }
+
+template <typename scalar_t> struct VectorizedType { using type = Vectorized<scalar_t>; };
+template <> struct VectorizedType<BFloat16> { using type = Vec2; };
+template <typename scalar_t> using VecType = typename VectorizedType<scalar_t>::type;
+
+// Helper for mixed data type parameter Vec::load
+inline std::tuple<Vectorized<float>, Vectorized<float>> load2f(const BFloat16* ptr) {
+  return convert_bfloat16_float(Vectorized<BFloat16>::loadu(ptr));
+}
+
+inline std::tuple<Vectorized<float>, Vectorized<float>> load2f(const Half* ptr) {
+  return convert_half_float(Vectorized<Half>::loadu(ptr));
+}
+
+inline std::tuple<Vectorized<float>, Vectorized<float>> load2f(const float* ptr) {
+  using Vec = Vectorized<float>;
+  return std::make_tuple(Vec::loadu(ptr), Vec::loadu(ptr + Vec::size()));
+}
+
+inline std::tuple<Vectorized<float>, Vectorized<float>> load2f(const BFloat16* ptr, int64_t count) {
+  return convert_bfloat16_float(Vectorized<BFloat16>::loadu(ptr, count));
+}
+
+inline std::tuple<Vectorized<float>, Vectorized<float>> load2f(const Half* ptr, int64_t count) {
+  return convert_half_float(Vectorized<Half>::loadu(ptr, count));
+}
+
+inline std::tuple<Vectorized<float>, Vectorized<float>> load2f(const float* ptr, int64_t count) {
+  using Vec = Vectorized<float>;
+  if (count > Vec::size()) {
+  return std::make_tuple(Vec::loadu(ptr), Vec::loadu(ptr + Vec::size(), count - Vec::size()));
+  } else {
+    return std::make_tuple(Vec::loadu(ptr, count), Vec(0));
+  }
+}
+
+} // namespace
+
+namespace utils {
+
+template <typename T>
+T CeilLog2(const T& x) {
+  if (x <= 2) {
+    return 1;
+  }
+  // Last set bit is floor(log2(x)), floor + 1 is ceil
+  // except when x is an exact powers of 2, so subtract 1 first
+  return static_cast<T>(llvm::findLastSet(static_cast<uint64_t>(x) - 1)) + 1;
+}
+
+// matrix transpose:
+//   src has shape of M by N, with leading dimension of ld_src
+//   dst has shape of N by M, with leading dimension of ld_dst
+template <typename T>
+inline void transpose(int64_t M, int64_t N, const T* src, int64_t ld_src, T* dst, int64_t ld_dst) {
+  for (int64_t j = 0; j < N; j++) {
+    for (int64_t i = 0; i < M; i++) {
+      dst[j * ld_dst + i] = src[i * ld_src + j];
+    }
+  }
+}
+
+#ifdef USE_FBGEMM
+template <>
+inline void transpose<float>(int64_t M, int64_t N, const float* src, int64_t ld_src, float* dst, int64_t ld_dst) {
+  TORCH_CHECK(fbgemm::fbgemmSupportedCPU(), "Your CPU does not support FBGEMM.");
+  fbgemm::transpose_simd<float>(M, N, src, ld_src, dst, ld_dst);
+}
+#endif
+
+template <typename index_t, typename F>
+inline void parallel_sparse_csr(
+    const TensorAccessor<index_t, 1>& crow_acc,
+    const int64_t M,
+    const int64_t nnz,
+    const F& f) {
+  TORCH_CHECK(crow_acc.size(0) == M + 1);
+
+  // directly parallel on `M` may lead to load imbalance,
+  // statically determine thread partition here to average payload
+  // for each thread.
+  int num_threads = at::get_num_threads();
+  std::vector<int64_t> thread_splits(num_threads + 1, M);
+
+  int64_t thread_averge_payload = std::max((int64_t)1, divup(nnz, num_threads));
+
+  thread_splits[0] = 0;
+  int64_t sum = 0;
+  int64_t t = 1;
+  for (const auto m : c10::irange(M)) {
+    int64_t row_start = crow_acc[m];
+    int64_t row_end = crow_acc[m + 1];
+    sum += row_end - row_start;
+    if (sum > t * thread_averge_payload) {
+      thread_splits[t] = m;
+      t++;
+    }
+  }
+  // need to restore the last index,
+  // due to rounding error when calculating `thread_averge_payload`.
+  thread_splits[num_threads] = M;
+
+  at::parallel_for(0, num_threads, 1, [&](int64_t cbegin, int64_t cend) {
+    int tid = at::get_thread_num();
+    int64_t begin = thread_splits[tid];
+    int64_t end = thread_splits[tid + 1];
+    f(begin, end);
+  });
+}
+
+} // namespace utils
+
+} // namespace native
+} // namespace at

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cpu/zmath.h

@@ -0,0 +1,251 @@
+#pragma once
+
+// Complex number math operations that act as no-ops for other dtypes.
+#include <c10/util/complex.h>
+#include <c10/util/math_compat.h>
+#include <c10/util/MathConstants.h>
+#include<ATen/NumericUtils.h>
+
+namespace at { namespace native {
+inline namespace CPU_CAPABILITY {
+
+template <typename SCALAR_TYPE, typename VALUE_TYPE=SCALAR_TYPE>
+inline VALUE_TYPE zabs (SCALAR_TYPE z) {
+  return z;
+}
+
+template<>
+inline c10::complex<float> zabs <c10::complex<float>> (c10::complex<float> z) {
+  return c10::complex<float>(std::abs(z));
+}
+
+template<>
+inline float zabs <c10::complex<float>, float> (c10::complex<float> z) {
+  return std::abs(z);
+}
+
+template<>
+inline c10::complex<double> zabs <c10::complex<double>> (c10::complex<double> z) {
+  return c10::complex<double>(std::abs(z));
+}
+
+template<>
+inline double zabs <c10::complex<double>, double> (c10::complex<double> z) {
+  return std::abs(z);
+}
+
+// This overload corresponds to non-complex dtypes.
+// The function is consistent with its NumPy equivalent
+// for non-complex dtypes where `pi` is returned for
+// negative real numbers and `0` is returned for 0 or positive
+// real numbers.
+// Note: `nan` is propagated.
+template <typename SCALAR_TYPE, typename VALUE_TYPE=SCALAR_TYPE>
+inline VALUE_TYPE angle_impl (SCALAR_TYPE z) {
+  if (at::_isnan(z)) {
+    return z;
+  }
+  return z < 0 ? c10::pi<double> : 0;
+}
+
+template<>
+inline c10::complex<float> angle_impl <c10::complex<float>> (c10::complex<float> z) {
+  return c10::complex<float>(std::arg(z), 0.0);
+}
+
+template<>
+inline float angle_impl <c10::complex<float>, float> (c10::complex<float> z) {
+  return std::arg(z);
+}
+
+template<>
+inline c10::complex<double> angle_impl <c10::complex<double>> (c10::complex<double> z) {
+  return c10::complex<double>(std::arg(z), 0.0);
+}
+
+template<>
+inline double angle_impl <c10::complex<double>, double> (c10::complex<double> z) {
+  return std::arg(z);
+}
+
+template <typename SCALAR_TYPE, typename VALUE_TYPE=SCALAR_TYPE>
+constexpr VALUE_TYPE real_impl (SCALAR_TYPE z) {
+  return z; //No-Op
+}
+
+template<>
+constexpr c10::complex<float> real_impl <c10::complex<float>> (c10::complex<float> z) {
+  return c10::complex<float>(z.real(), 0.0);
+}
+
+template<>
+constexpr float real_impl <c10::complex<float>, float> (c10::complex<float> z) {
+  return z.real();
+}
+
+template<>
+constexpr c10::complex<double> real_impl <c10::complex<double>> (c10::complex<double> z) {
+  return c10::complex<double>(z.real(), 0.0);
+}
+
+template<>
+constexpr double real_impl <c10::complex<double>, double> (c10::complex<double> z) {
+  return z.real();
+}
+
+template <typename SCALAR_TYPE, typename VALUE_TYPE=SCALAR_TYPE>
+constexpr VALUE_TYPE imag_impl (SCALAR_TYPE /*z*/) {
+  return 0;
+}
+
+template<>
+constexpr c10::complex<float> imag_impl <c10::complex<float>> (c10::complex<float> z) {
+  return c10::complex<float>(z.imag(), 0.0);
+}
+
+template<>
+constexpr float imag_impl <c10::complex<float>, float> (c10::complex<float> z) {
+  return z.imag();
+}
+
+template<>
+constexpr c10::complex<double> imag_impl <c10::complex<double>> (c10::complex<double> z) {
+  return c10::complex<double>(z.imag(), 0.0);
+}
+
+template<>
+constexpr double imag_impl <c10::complex<double>, double> (c10::complex<double> z) {
+  return z.imag();
+}
+
+template <typename TYPE>
+inline TYPE conj_impl (TYPE z) {
+  return z; //No-Op
+}
+
+template<>
+inline c10::complex<at::Half> conj_impl <c10::complex<at::Half>> (c10::complex<at::Half> z) {
+  return c10::complex<at::Half>{z.real(), -z.imag()};
+}
+
+template<>
+inline c10::complex<float> conj_impl <c10::complex<float>> (c10::complex<float> z) {
+  return c10::complex<float>(z.real(), -z.imag());
+}
+
+template<>
+inline c10::complex<double> conj_impl <c10::complex<double>> (c10::complex<double> z) {
+  return c10::complex<double>(z.real(), -z.imag());
+}
+
+template <typename TYPE>
+inline TYPE ceil_impl (TYPE z) {
+  return std::ceil(z);
+}
+
+template <>
+inline c10::complex<float> ceil_impl (c10::complex<float> z) {
+  return c10::complex<float>(std::ceil(z.real()), std::ceil(z.imag()));
+}
+
+template <>
+inline c10::complex<double> ceil_impl (c10::complex<double> z) {
+  return c10::complex<double>(std::ceil(z.real()), std::ceil(z.imag()));
+}
+
+template<typename T>
+inline c10::complex<T> sgn_impl (c10::complex<T> z) {
+  if (z == c10::complex<T>(0, 0)) {
+    return c10::complex<T>(0, 0);
+  } else {
+    return z / zabs(z);
+  }
+}
+
+template <typename TYPE>
+inline TYPE floor_impl (TYPE z) {
+  return std::floor(z);
+}
+
+template <>
+inline c10::complex<float> floor_impl (c10::complex<float> z) {
+  return c10::complex<float>(std::floor(z.real()), std::floor(z.imag()));
+}
+
+template <>
+inline c10::complex<double> floor_impl (c10::complex<double> z) {
+  return c10::complex<double>(std::floor(z.real()), std::floor(z.imag()));
+}
+
+template <typename TYPE>
+inline TYPE round_impl (TYPE z) {
+  return std::nearbyint(z);
+}
+
+template <>
+inline c10::complex<float> round_impl (c10::complex<float> z) {
+  return c10::complex<float>(std::nearbyint(z.real()), std::nearbyint(z.imag()));
+}
+
+template <>
+inline c10::complex<double> round_impl (c10::complex<double> z) {
+  return c10::complex<double>(std::nearbyint(z.real()), std::nearbyint(z.imag()));
+}
+
+template <typename TYPE>
+inline TYPE trunc_impl (TYPE z) {
+  return std::trunc(z);
+}
+
+template <>
+inline c10::complex<float> trunc_impl (c10::complex<float> z) {
+  return c10::complex<float>(std::trunc(z.real()), std::trunc(z.imag()));
+}
+
+template <>
+inline c10::complex<double> trunc_impl (c10::complex<double> z) {
+  return c10::complex<double>(std::trunc(z.real()), std::trunc(z.imag()));
+}
+
+template <typename TYPE, std::enable_if_t<!c10::is_complex<TYPE>::value, int> = 0>
+inline TYPE max_impl (TYPE a, TYPE b) {
+  if (_isnan<TYPE>(a) || _isnan<TYPE>(b)) {
+    return std::numeric_limits<TYPE>::quiet_NaN();
+  } else {
+    return std::max(a, b);
+  }
+}
+
+template <typename TYPE, std::enable_if_t<c10::is_complex<TYPE>::value, int> = 0>
+inline TYPE max_impl (TYPE a, TYPE b) {
+  if (_isnan<TYPE>(a)) {
+    return a;
+  } else if (_isnan<TYPE>(b)) {
+    return b;
+  } else {
+    return std::abs(a) > std::abs(b) ? a : b;
+  }
+}
+
+template <typename TYPE, std::enable_if_t<!c10::is_complex<TYPE>::value, int> = 0>
+inline TYPE min_impl (TYPE a, TYPE b) {
+  if (_isnan<TYPE>(a) || _isnan<TYPE>(b)) {
+    return std::numeric_limits<TYPE>::quiet_NaN();
+  } else {
+    return std::min(a, b);
+  }
+}
+
+template <typename TYPE, std::enable_if_t<c10::is_complex<TYPE>::value, int> = 0>
+inline TYPE min_impl (TYPE a, TYPE b) {
+  if (_isnan<TYPE>(a)) {
+    return a;
+  } else if (_isnan<TYPE>(b)) {
+    return b;
+  } else {
+    return std::abs(a) < std::abs(b) ? a : b;
+  }
+}
+
+} // end namespace
+}} //end at::native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cuda/BinaryInternal.h

@@ -0,0 +1,48 @@
+// DON'T include this except from Binary*.cu files. It should not leak into
+// headers.
+#pragma once
+#define TORCH_ASSERT_NO_OPERATORS
+#include <ATen/AccumulateType.h>
+#include <ATen/Dispatch.h>
+#include <ATen/native/BinaryOps.h>
+#include <ATen/native/DispatchStub.h>
+#include <ATen/native/TensorIterator.h>
+#include <c10/cuda/CUDAGuard.h>
+#include <c10/cuda/CUDAMathCompat.h>
+#include <c10/util/TypeSafeSignMath.h>
+#include <ATen/native/cuda/JitLoops.cuh>
+#include <ATen/native/cuda/Loops.cuh>
+
+#include <type_traits>
+
+namespace at {
+namespace native {
+namespace binary_internal {
+
+template <typename scalar_t>
+struct DivFunctor {
+  __device__ scalar_t operator()(scalar_t a, scalar_t b) const {
+    return a / b;
+  }
+};
+
+template <typename T>
+struct MulFunctor {
+  __device__ T operator()(T a, T b) const {
+    return a * b;
+  }
+};
+
+// Workaround for the error: '*' in boolean context, suggest '&&' instead
+// [-Werror=int-in-bool-context]
+template <>
+struct MulFunctor<bool> {
+  __device__ bool operator()(bool a, bool b) const {
+    return a && b;
+  }
+};
+void div_true_kernel_cuda(TensorIteratorBase& iter);
+void div_trunc_kernel_cuda(TensorIteratorBase& iter);
+} // namespace binary_internal
+} // namespace native
+} // namespace at

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cuda/CUDAJitLoops.cuh

@@ -0,0 +1,297 @@
+#pragma once
+#include <ATen/jit_macros.h>
+
+// Jiterator functions are guarded behind this macro
+#if AT_USE_JITERATOR()
+
+#include <ATen/OpMathType.h>
+#include <ATen/TensorIterator.h>
+#include <ATen/core/Array.h>
+#include <ATen/cuda/CUDAContext.h>
+#include <ATen/cuda/detail/OffsetCalculator.cuh>
+#include <ATen/native/cuda/jit_utils.h>
+#include <ATen/native/cuda/MemoryAccess.cuh>
+#include <ATen/native/cuda/thread_constants.h>
+
+#include <ATen/native/cuda/Loops.cuh>
+
+#include <c10/macros/Macros.h>
+#include <c10/core/ScalarType.h>
+#include <c10/util/SmallBuffer.h>
+#include <c10/util/C++17.h>
+
+#include <initializer_list>
+#include <type_traits>
+#include <tuple>
+#include <mutex>
+
+namespace at {
+namespace native {
+
+template <typename Tuple, std::size_t... I>
+constexpr auto tuple_to_array_helper(Tuple& t, std::index_sequence<I...> seq) {
+    constexpr auto size = seq.size();
+    (void)t; // warning : unused parameter when tuple is empty.
+    return std::array<void*, size>{static_cast<void*>(&std::get<I>(t))...};
+}
+
+// Helper function convert tuple to std::array<void*, N>
+// for passing the arguments to CUDA Kernel
+// NOTE: We capture tuple by reference,
+// so the pointers in returned array are only valid
+// till tuple is alive.
+template <typename ...Args>
+constexpr auto tuple_to_array(std::tuple<Args...>& extra_args) {
+    constexpr auto tuple_size = sizeof...(Args);
+    return tuple_to_array_helper(extra_args, std::make_index_sequence<tuple_size>{});
+}
+
+struct JittedVecKernelCache {
+  // Different kernels are compiled depending on what we're vectorizing up to (1, 2 or 4 elements)
+  at::cuda::jit::NvrtcFunction vec1;
+  at::cuda::jit::NvrtcFunction vec2;
+  at::cuda::jit::NvrtcFunction vec4;
+};
+
+struct JittedKernelVariantCache {
+  JittedVecKernelCache vec;
+  at::cuda::jit::NvrtcFunction noncontiguous;
+  at::cuda::jit::NvrtcFunction dynamic_contiguous;
+  at::cuda::jit::NvrtcFunction dynamic_noncontiguous;
+};
+
+inline c10::SmallBuffer<void*, 64> pack_kernel_args(
+    std::initializer_list<void*> args,
+    c10::ArrayRef<void*> extra_args) {
+  c10::SmallBuffer<void*, 64> ret(args.size() + extra_args.size());
+  std::copy(args.begin(), args.end(), ret.data());
+  std::copy(extra_args.begin(), extra_args.end(), ret.data() + args.size());
+  return ret;
+}
+
+template<typename array_t,
+         typename inp_calc_t,
+         typename out_calc_t,
+         typename loader_t,
+         typename storer_t>
+void launch_jitted_unrolled_kernel(
+    std::mutex &jiterator_mutex,
+    at::cuda::jit::NvrtcFunction &fn_cache,
+    const at::cuda::jit::KernelDescriptor &desc,
+    int64_t N,
+    array_t data,
+    inp_calc_t ic,
+    out_calc_t oc,
+    loader_t l,
+    storer_t s,
+    bool contiguous,
+    at::cuda::jit::BinaryFuncVariant scalar_pos,
+    void* scalar_val,
+    c10::ArrayRef<void*> extra_args) {
+
+  TORCH_INTERNAL_ASSERT(N > 0 && N <= std::numeric_limits<int32_t>::max());
+  //casting result to int is always safe, intermediate is int64 and won't overflow
+  const uint32_t grid = (N + block_work_size() - 1) / block_work_size();
+
+  if (!fn_cache.function) {
+    const std::lock_guard<std::mutex> lock{jiterator_mutex};
+    if (!fn_cache.function) {
+      constexpr bool dynamic_casting = !std::is_same<decltype(l), memory::LoadWithoutCast>() ||
+                                       !std::is_same<decltype(s), memory::StoreWithoutCast>();
+      auto code = at::cuda::jit::generate_code(
+          desc, contiguous, dynamic_casting, scalar_pos);
+      fn_cache = at::cuda::jit::jit_pwise_function(code, desc.name);
+    }
+  }
+
+  auto args = pack_kernel_args({&N, &data, &ic, &oc, &l, &s, scalar_val}, extra_args);
+  at::cuda::jit::launch_jitted_pwise_function(fn_cache, args.data(), {grid, 1u, 1u},
+  {num_threads(), 1u, 1u});
+}
+
+template<int arity, typename array_t>
+void launch_jitted_vectorized_kernel(
+    std::mutex &jiterator_mutex, JittedVecKernelCache &fn_cache,
+    const at::cuda::jit::KernelDescriptor &desc, int64_t N, array_t data,
+    at::cuda::jit::BinaryFuncVariant scalar_pos,
+    void *scalar_val, c10::ArrayRef<void*> extra_args) {
+  TORCH_INTERNAL_ASSERT(N > 0 && N <= std::numeric_limits<int32_t>::max());
+  // N is still int64_t for the computation, but it's always safe to cast result to int
+  const uint32_t grid = (N + block_work_size() - 1) / block_work_size();
+  const int vec_size = at::cuda::jit::can_vectorize_up_to(
+      desc, c10::ArrayRef<char*>(data.data, data.size()));
+
+  // Different kernels are compiled depending on what we're vectorizing up to (1, 2 or 4 elements)
+  //   fn_ptr is set to the appropriate function based on the vec size and GPU used
+  at::cuda::jit::NvrtcFunction* fn_ptr;
+  if (vec_size == 4) {
+    fn_ptr = &fn_cache.vec4;
+  } else if (vec_size == 2) {
+    fn_ptr = &fn_cache.vec2;
+  } else if (vec_size ==1) {
+    fn_ptr = &fn_cache.vec1;
+  } else {
+    TORCH_INTERNAL_ASSERT(false, "unexpected vec_size for jitter vectorized kernel");
+  }
+
+  bool vectorized = vec_size > 1;
+
+  if (!fn_ptr->function) {
+    const std::lock_guard<std::mutex> lock{jiterator_mutex};
+    if (!fn_ptr->function) { // cache miss!
+
+      // Generates program
+      auto code = at::cuda::jit::generate_code(
+          desc, /*contiguous=*/true, /*dynamic_casting=*/false,
+          scalar_pos, vectorized, vec_size);
+      std::string kernel_name = vectorized ? desc.name + "_vectorized" + std::to_string(vec_size) : desc.name;
+
+      // Acquires the program
+      *fn_ptr = at::cuda::jit::jit_pwise_function(code, kernel_name);
+    }
+  }
+
+  if (vectorized) {
+    auto args = pack_kernel_args({&N, &data, scalar_val}, extra_args);
+    at::cuda::jit::launch_jitted_pwise_function(
+        *fn_ptr, args.data(), {grid, 1u, 1u}, {num_threads(), 1u, 1u});
+  } else {
+// NVCC complains about unused variables l and s.
+// It should be false positive in most cases, so we suppress the warnings.
+#pragma nv_diagnostic push
+#pragma nv_diag_suppress 177
+    auto ic = TrivialOffsetCalculator<arity>();
+    auto oc = TrivialOffsetCalculator<1>();
+    auto l = memory::LoadWithoutCast();
+    auto s = memory::StoreWithoutCast();
+
+    auto args = pack_kernel_args(
+        {&N, &data, &ic, &oc, &l, &s, scalar_val}, extra_args);
+    at::cuda::jit::launch_jitted_pwise_function(
+        *fn_ptr, args.data(), {grid, 1u, 1u}, {num_threads(), 1u, 1u});
+#pragma nv_diagnostic pop
+  }
+}
+
+template <int arity>
+void jitted_gpu_kernel_generic(
+    std::mutex &jiterator_mutex,
+    JittedKernelVariantCache &cache,
+    const at::cuda::jit::KernelDescriptor &desc,
+    at::cuda::jit::BinaryFuncVariant scalar_pos,
+    c10::ArrayRef<void*> extra_args,
+    TensorIteratorBase& iter,
+    const bool dynamic_casting,
+    void *scalar_val) {
+  TORCH_INTERNAL_ASSERT(iter.can_use_32bit_indexing());
+  TORCH_INTERNAL_ASSERT(iter.ninputs() == arity);
+  TORCH_INTERNAL_ASSERT(iter.noutputs() == 1);
+
+  constexpr int ntensors = arity + 1;
+  at::detail::Array<char*, ntensors> data;
+  for (auto i : c10::irange(ntensors)) {
+    data[i] = (char*)iter.data_ptr(i);
+  }
+
+  int64_t numel = iter.numel();
+  bool contiguous = iter.is_contiguous();
+
+  // Decides which of 4 kernel types to launch
+  // Variations are:
+  //   - Case 1: no dynamic casting and contiguous
+  //   - Case 2: no dynamic casting and noncontiguous
+  //   - Case 3: dynamic casting and contiguous
+  //   - Case 4: dynamic casting and noncontiguous
+  // These cases align with the non-jitted CUDALoops.cuh cases in gpu_kernel_impl
+
+  if (!dynamic_casting) {
+    if (contiguous) {
+      // Case 1: no dynamic casting and contiguous
+      launch_jitted_vectorized_kernel<arity>(
+          jiterator_mutex, cache.vec, desc,
+          numel, data, scalar_pos, scalar_val, extra_args);
+      return;
+    }
+
+    // Case 2: no dynamic casting and noncontiguous
+    auto input_offset_calculator = make_input_offset_calculator<arity>(iter);
+    auto output_offset_calculator = make_output_offset_calculator(iter);
+    auto loader = memory::LoadWithoutCast();
+    auto storer = memory::StoreWithoutCast();
+    launch_jitted_unrolled_kernel(
+        jiterator_mutex, cache.noncontiguous, desc, numel, data,
+        input_offset_calculator, output_offset_calculator, loader,
+        storer, contiguous, scalar_pos, scalar_val, extra_args);
+    return;
+  }
+
+  // Cases 3 and 4 are handled below
+  // Both require construction of a storer (this asserts 1 output) and one or more loaders
+
+  // Creates store cast to output (the zeroth tensor in TensorIterator)
+  auto storer = memory::StoreWithCast<1>(iter);
+
+  // Creates load casts from inputs (note offset indexing into the iterators 1...n tensors)
+  auto loader = memory::LoadWithCast<arity>(iter);
+
+  if (contiguous) {
+    // Case 3: dynamic casting and contiguous
+    auto input_offset_calculator = TrivialOffsetCalculator<arity>();
+    auto output_offset_calculator = TrivialOffsetCalculator<1>();
+    launch_jitted_unrolled_kernel(
+        jiterator_mutex, cache.dynamic_contiguous, desc, numel, data, input_offset_calculator,
+        output_offset_calculator, loader, storer, contiguous, scalar_pos, scalar_val, extra_args);
+    return;
+  }
+
+  // Case 4: dynamic casting and noncontiguous
+  auto input_offset_calculator = make_input_offset_calculator<arity>(iter);
+  auto output_offset_calculator = make_output_offset_calculator(iter);
+  launch_jitted_unrolled_kernel(
+      jiterator_mutex, cache.dynamic_noncontiguous, desc, numel, data, input_offset_calculator,
+      output_offset_calculator, loader, storer, contiguous, scalar_pos, scalar_val, extra_args);
+}
+
+// NOTE: static to reduce chances of name collision.
+template <
+    char const* name,
+    typename result_type,
+    typename f_inputs_type,
+    int arity,
+    at::cuda::jit::BinaryFuncVariant scalar_pos =
+        at::cuda::jit::BinaryFuncVariant::NoScalar,
+    typename... ExtraArgs>
+static void jitted_gpu_kernel_impl(
+    TensorIteratorBase& iter,
+    const std::string &f,
+    const bool dynamic_casting,
+    at::opmath_type<f_inputs_type> scalar_val,
+    std::tuple<ExtraArgs...> extra_args) {
+
+  // TODO: Memory use can probably be optimized by re-using kernels across GPUs with
+  //   the same compute capability
+  static std::mutex jiterator_mutex;
+  static std::vector<JittedKernelVariantCache> device_caches(c10::cuda::device_count());
+
+  constexpr int nInputs = arity;
+  constexpr int nOutputs = 1;  // TODO: Support more than 1 output
+  static const auto desc = at::cuda::jit::make_kernel_descriptor<
+    result_type, f_inputs_type, ExtraArgs...>(name, f, nInputs, nOutputs);
+
+  auto &cache = device_caches[iter.device().index()];
+  auto extra_args_array = tuple_to_array(extra_args);
+  return jitted_gpu_kernel_generic<arity>(
+      jiterator_mutex,
+      cache,
+      desc,
+      scalar_pos,
+      extra_args_array,
+      iter,
+      dynamic_casting,
+      &scalar_val
+    );
+}
+
+}}  // at::native
+
+#endif // AT_USE_JITERATOR()

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cuda/CUDALoops.cuh

@@ -0,0 +1,267 @@
+#pragma once
+
+// This file provides two functions to help write GPU elementwise kernels:
+//
+//   gpu_kernel(TensorIterator iter, <lambda>)
+//   gpu_kernel_with_scalars(TensorIterator iter, <lambda>)
+//
+// The gpu_kernel_with_scalars generates specializations that support a
+// single scalar CPU argument, such as from `cuda_tensor + 5`. The CPU scalar
+// is lifted to a kernel parameter instead of copying to device memory.
+// This should be  used in conjunction with TensorIterator::allow_cpu_scalars_,
+// which is the default for TensorIterator::binary_op. Otherwise, all inputs
+// and the output must be on the GPU.
+//
+// For example, to write a reciprocal kernel for GPU float Tensors:
+//
+//   gpu_kernel(iter, []GPU_LAMBDA(float a) {
+//    return 1.0f / a;
+//   });
+//
+// To write a multiplication kernel for GPU float Tensors where one argument
+// may be a CPU scalar:
+//
+//   gpu_kernel_with_scalars(iter, []GPU_LAMBDA(float a, float b) {
+//     return a * b;
+//   });
+//
+// See BinaryOpsKernel.cu for the complete implementation
+//
+
+#include <type_traits>
+#include <tuple>
+#include <iostream>
+
+#include <ATen/cuda/CUDAContext.h>
+#include <ATen/core/Array.h>
+#include <ATen/detail/FunctionTraits.h>
+#include <ATen/native/TensorIterator.h>
+#include <c10/macros/Macros.h>
+#include <c10/core/DynamicCast.h>
+#include <c10/core/ScalarType.h>
+#include <c10/util/TypeCast.h>
+#include <c10/util/C++17.h>
+
+
+#ifdef __NVCC__
+#define ASSERT_HOST_DEVICE_LAMBDA(type) \
+  static_assert(__nv_is_extended_host_device_lambda_closure_type(type), \
+                #type " must be a __host__ __device__ lambda")
+#else
+#define ASSERT_HOST_DEVICE_LAMBDA(type)
+#endif
+
+
+namespace at { namespace native {
+
+template<int vec_size, typename func_t, typename array_t>
+C10_LAUNCH_BOUNDS_1(num_threads())
+__global__ void vectorized_elementwise_kernel(int N, func_t f, array_t data) {
+  using traits = function_traits<func_t>;
+  int remaining = N - block_work_size() * blockIdx.x;
+
+  if (remaining < block_work_size()) {  // if this block handles the reminder, just do a naive unrolled loop
+    auto input_calc = TrivialOffsetCalculator<traits::arity>();
+    auto output_calc = TrivialOffsetCalculator<1>();
+    auto loader = memory::LoadWithoutCast();
+    auto storer = memory::StoreWithoutCast();
+    auto policy = memory::policies::unroll<array_t, decltype(input_calc), decltype(output_calc),
+                                           memory::LoadWithoutCast, memory::StoreWithoutCast>(
+      data, remaining, input_calc, output_calc, loader, storer);
+    elementwise_kernel_helper(f, policy);
+  } else {  // if this block has a full `block_work_size` data to handle, use vectorized memory access
+    elementwise_kernel_helper(f, memory::policies::vectorized<vec_size, array_t>(data));
+  }
+}
+
+template<typename func_t, typename array_t, typename inp_calc_t, typename out_calc_t, typename loader_t, typename storer_t>
+C10_LAUNCH_BOUNDS_1(num_threads())
+__global__ void unrolled_elementwise_kernel(int N, func_t f, array_t data,
+                                            inp_calc_t ic, out_calc_t oc, loader_t l, storer_t s)
+{
+  int remaining = N - block_work_size() * blockIdx.x;
+  auto policy = memory::policies::unroll<array_t, inp_calc_t, out_calc_t, loader_t, storer_t>(data, remaining, ic, oc, l, s);
+  elementwise_kernel_helper(f, policy);
+}
+
+// this function assume trivial 1d and no dynamic casting
+template<typename func_t, typename array_t>
+static inline void launch_vectorized_kernel(int64_t N, const func_t& f, array_t data) {
+  TORCH_INTERNAL_ASSERT(N > 0 && N <= std::numeric_limits<int32_t>::max());
+  using traits = function_traits<func_t>;
+  int64_t grid = (N + block_work_size() - 1) / block_work_size();
+  auto stream = at::cuda::getCurrentCUDAStream();
+  int vec_size = memory::can_vectorize_up_to<func_t>(data);
+
+  switch (vec_size) {
+  case 4:
+    vectorized_elementwise_kernel<4, func_t, array_t><<<grid, num_threads(), 0, stream>>>(N, f, data);
+    C10_CUDA_KERNEL_LAUNCH_CHECK();
+    break;
+  case 2:
+    vectorized_elementwise_kernel<2, func_t, array_t><<<grid, num_threads(), 0, stream>>>(N, f, data);
+    C10_CUDA_KERNEL_LAUNCH_CHECK();
+    break;
+  case 1: {
+    auto input_calc = TrivialOffsetCalculator<traits::arity>();
+    auto output_calc = TrivialOffsetCalculator<1>();
+    auto loader = memory::LoadWithoutCast();
+    auto storer = memory::StoreWithoutCast();
+    unrolled_elementwise_kernel<func_t, array_t><<<grid, num_threads(), 0, stream>>>(N, f, data, input_calc, output_calc, loader, storer);
+    C10_CUDA_KERNEL_LAUNCH_CHECK();
+    break;
+  }
+  default:
+    TORCH_INTERNAL_ASSERT(false, "Unexpected vectorization size");
+  }
+}
+
+
+template<typename func_t, typename array_t, typename inp_calc_t, typename out_calc_t, typename loader_t, typename storer_t>
+static inline void launch_unrolled_kernel(int64_t N, const func_t& f, array_t data,
+                                          inp_calc_t ic, out_calc_t oc, loader_t l, storer_t s)
+{
+  TORCH_INTERNAL_ASSERT(N > 0 && N <= std::numeric_limits<int32_t>::max());
+  int64_t grid = (N + block_work_size() - 1) / block_work_size();
+  auto stream = at::cuda::getCurrentCUDAStream();
+  unrolled_elementwise_kernel<func_t, array_t><<<grid, num_threads(), 0, stream>>>(N, f, data, ic, oc, l, s);
+  C10_CUDA_KERNEL_LAUNCH_CHECK();
+}
+
+template<int nt, int vt, typename func_t>
+C10_LAUNCH_BOUNDS_2(nt, 4)
+__global__ void elementwise_kernel(int N, func_t f) {
+  int tid = threadIdx.x;
+  int nv = nt * vt;
+  int idx = nv * blockIdx.x + tid;
+  #pragma unroll
+  for (int i = 0; i < vt; i++) {
+    if (idx < N) {
+      f(idx);
+      idx += nt;
+    }
+  }
+}
+
+template<int nt, int vt, typename func_t>
+static void launch_legacy_kernel(int64_t N, const func_t& f) {
+  TORCH_INTERNAL_ASSERT(N >= 0 && N <= std::numeric_limits<int32_t>::max());
+  if (N == 0) {
+    return;
+  }
+  dim3 block(nt);
+  dim3 grid((N + block.x * vt - 1) / (block.x * vt));
+  auto stream = at::cuda::getCurrentCUDAStream();
+  elementwise_kernel<nt, vt, func_t><<<grid, block, 0, stream>>>(N, f);
+  C10_CUDA_KERNEL_LAUNCH_CHECK();
+}
+
+template <typename traits, typename func_t, typename index_t, size_t... INDEX>
+C10_HOST_DEVICE typename traits::result_type
+invoke_impl(const func_t &f, char *const C10_RESTRICT data[], const index_t strides[], int i,
+            std::index_sequence<INDEX...>) {
+  (void)strides;
+  (void)i;
+  return f(c10::load<typename traits::template arg<INDEX>::type>(data[INDEX] + i * strides[INDEX])...);
+}
+
+template <typename func_t, typename index_t, typename traits = function_traits<func_t>>
+C10_HOST_DEVICE typename traits::result_type
+invoke(const func_t &f, char *const C10_RESTRICT data[], const index_t strides[], int i) {
+  using Indices = std::make_index_sequence<traits::arity>;
+  return invoke_impl<traits>(f, data, strides, i, Indices{});
+}
+
+template <typename traits, typename func_t, typename index_t, size_t... I>
+C10_HOST_DEVICE typename traits::result_type
+invoke_impl(const func_t &f, char *const C10_RESTRICT data[], const index_t strides[], const ScalarType dtypes[], int i,
+            std::index_sequence<I...>) {
+  (void)strides;
+  (void)i;
+  return f(c10::fetch_and_cast<typename traits::template arg<I>::type>(dtypes[I], data[I] + i * strides[I])...);
+}
+
+template <typename func_t, typename index_t, typename traits = function_traits<func_t>>
+C10_HOST_DEVICE typename traits::result_type
+invoke(const func_t &f, char *const C10_RESTRICT data[], const index_t strides[], const ScalarType dtypes[], int i) {
+  using Indices = std::make_index_sequence<traits::arity>;
+  return invoke_impl<traits>(f, data, strides, dtypes, i, Indices{});
+}
+
+
+template <typename func_t>
+void gpu_kernel_impl_nocast(TensorIteratorBase& iter, const func_t& f) {
+  using traits = function_traits<func_t>;
+  using arg0_t = typename traits::result_type;
+  constexpr int ntensors = traits::arity + 1;
+
+  TORCH_INTERNAL_ASSERT(iter.can_use_32bit_indexing());
+  TORCH_INTERNAL_ASSERT(iter.ninputs() == traits::arity);
+  TORCH_INTERNAL_ASSERT(iter.noutputs() == 1);
+  TORCH_INTERNAL_ASSERT(!needs_dynamic_casting<func_t>::check(iter));
+
+  at::detail::Array<char*, ntensors> data;
+  for (int i = 0; i < ntensors; i++) {
+    data[i] = (char*)iter.data_ptr(i);
+  }
+
+  int64_t numel = iter.numel();
+
+  bool contiguous = iter.is_contiguous();
+
+  if (contiguous) {
+    return launch_vectorized_kernel(numel, f, data);
+  }
+  auto offset_calc = ::make_offset_calculator<traits::arity + 1>(iter);
+  constexpr int unroll_factor = sizeof(arg0_t) >= 4 ? 2 : 4;
+  launch_legacy_kernel<128,unroll_factor>(numel, [=]GPU_LAMBDA(int idx) {
+    auto offsets = offset_calc.get(idx);
+    arg0_t* out = (arg0_t*)(data[0] + offsets[0]);
+    *out = invoke(f, &data.data[1], &offsets.data[1], 1);
+  });
+}
+
+template <typename func_t>
+void gpu_kernel_impl(TensorIteratorBase& iter, const func_t& f) {
+  if (!needs_dynamic_casting<func_t>::check(iter)) {
+    return gpu_kernel_impl_nocast(iter, f);
+  }
+  using traits = function_traits<func_t>;
+  using arg0_t = typename traits::result_type;
+  constexpr int ntensors = traits::arity + 1;
+
+  TORCH_INTERNAL_ASSERT(iter.can_use_32bit_indexing());
+  TORCH_INTERNAL_ASSERT(iter.ninputs() == traits::arity);
+  TORCH_INTERNAL_ASSERT(iter.noutputs() == 1);
+
+  at::detail::Array<char*, ntensors> data;
+  for (int i = 0; i < ntensors; i++) {
+    data[i] = (char*)iter.data_ptr(i);
+  }
+
+  int64_t numel = iter.numel();
+
+  bool contiguous = iter.is_contiguous();
+
+  if (contiguous) {
+    auto loader = memory::LoadWithCast<traits::arity>(iter);
+    auto storer = memory::StoreWithCast<1>(iter);
+    auto input_offset_calculator = TrivialOffsetCalculator<traits::arity>();
+    auto output_offset_calculator = TrivialOffsetCalculator<1>();
+    launch_unrolled_kernel(numel, f, data, input_offset_calculator, output_offset_calculator, loader, storer);
+  } else {
+    at::detail::Array<ScalarType, ntensors> dtypes;
+    for (int i = 0; i < ntensors; i++) {
+      dtypes[i] = iter.dtype(i);
+    }
+    auto offset_calc = ::make_offset_calculator<traits::arity + 1>(iter);
+    launch_legacy_kernel<128, 4>(numel, [=]GPU_LAMBDA(int idx) {
+      auto offsets = offset_calc.get(idx);
+      void* out = data[0] + offsets[0];
+      arg0_t result = invoke(f, &data.data[1], &offsets.data[1], &dtypes.data[1], 1);
+      c10::cast_and_store<arg0_t>(dtypes[0], out, result);
+    });
+  }
+}
+
+}} // namespace at::native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cuda/CompositeRandomAccessor.h

@@ -0,0 +1,35 @@
+#pragma once
+
+#include <ATen/native/CompositeRandomAccessorCommon.h>
+#include <thrust/tuple.h>
+
+namespace at { namespace native {
+
+struct TupleInfoCPU {
+  template <typename ...Types>
+  using tuple = thrust::tuple<Types...>;
+
+  template <typename ...Types>
+  static constexpr auto tie(Types&... args) noexcept {
+    return thrust::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 thrust::swap(rh1.data(), rh2.data());
+}
+
+template <int N, typename Values, typename References>
+auto get(references_holder<Values, References> rh) -> decltype(thrust::get<N>(rh.data())) {
+  return thrust::get<N>(rh.data());
+}
+
+}} // namespace at::native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cuda/CuFFTPlanCache.h

@@ -0,0 +1,532 @@
+#include <ATen/Config.h>
+#include <ATen/core/DimVector.h>
+#include <ATen/cuda/CUDAContext.h>
+#include <ATen/native/cuda/CuFFTUtils.h>
+#include <ATen/native/utils/ParamsHash.h>
+#include <c10/util/accumulate.h>
+#include <c10/util/irange.h>
+
+#include <cufft.h>
+#include <cufftXt.h>
+
+#include <limits>
+#include <list>
+#include <sstream>
+#include <stdexcept>
+#include <string>
+#include <unordered_map>
+
+namespace at { namespace native { namespace detail {
+
+// Enum representing the FFT type
+enum class CuFFTTransformType : int8_t {
+  C2C,  // Complex-to-complex
+  R2C,  // Real-to-complex
+  C2R,  // Complex-to-real
+};
+
+// This struct is used to let us easily compute hashes of the
+// parameters.
+// It will be the **key** to the plan cache.
+struct CuFFTParams
+{
+  int64_t signal_ndim_; // between 1 and max_rank, i.e., 1 <= signal_ndim <= 3
+  // These include additional batch dimension as well.
+  int64_t sizes_[max_rank + 1];
+  int64_t input_strides_[max_rank + 1];
+  int64_t output_strides_[max_rank + 1];
+  CuFFTTransformType fft_type_;
+  ScalarType value_type_;
+
+  CuFFTParams() = default;
+
+  CuFFTParams(IntArrayRef in_strides, IntArrayRef out_strides,
+      IntArrayRef signal_sizes, CuFFTTransformType fft_type, ScalarType value_type) {
+    // Padding bits must be zeroed for hashing
+    memset(this, 0, sizeof(*this));
+    signal_ndim_ = signal_sizes.size() - 1;
+    fft_type_ = fft_type;
+    value_type_ = value_type;
+
+    TORCH_INTERNAL_ASSERT(in_strides.size() == signal_sizes.size());
+    TORCH_INTERNAL_ASSERT(out_strides.size() == signal_sizes.size());
+    TORCH_INTERNAL_ASSERT(1 <= signal_ndim_ && signal_ndim_ <= max_rank);
+
+    std::copy(signal_sizes.cbegin(), signal_sizes.cend(), sizes_);
+    std::copy(in_strides.cbegin(), in_strides.cend(), input_strides_);
+    std::copy(out_strides.cbegin(), out_strides.cend(), output_strides_);
+  }
+};
+
+static_assert(std::is_trivial<CuFFTParams>::value, "");
+
+// Returns true if the transform type has complex input
+inline bool cufft_complex_input(CuFFTTransformType type) {
+  switch (type) {
+    case CuFFTTransformType::C2C:
+    case CuFFTTransformType::C2R:
+      return true;
+
+    case CuFFTTransformType::R2C:
+      return false;
+  }
+  TORCH_INTERNAL_ASSERT(false);
+}
+
+// Returns true if the transform type has complex output
+inline bool cufft_complex_output(CuFFTTransformType type) {
+  switch (type) {
+    case CuFFTTransformType::C2C:
+    case CuFFTTransformType::R2C:
+      return true;
+
+    case CuFFTTransformType::C2R:
+      return false;
+  }
+  TORCH_INTERNAL_ASSERT(false);
+}
+
+// Create transform type enum from bools representing if input and output are complex
+inline CuFFTTransformType GetCuFFTTransformType(bool complex_input, bool complex_output) {
+  if (complex_input && complex_output) {
+    return CuFFTTransformType::C2C;
+  } else if (complex_input && !complex_output) {
+    return CuFFTTransformType::C2R;
+  } else if (!complex_input && complex_output) {
+    return CuFFTTransformType::R2C;
+  }
+  TORCH_INTERNAL_ASSERT(false, "Real to real FFTs are not supported");
+}
+
+
+class CuFFTHandle {
+  ::cufftHandle handle_;
+public:
+
+  CuFFTHandle() {
+    CUFFT_CHECK(cufftCreate(&handle_));
+  }
+
+  ::cufftHandle & get() { return handle_; }
+  const ::cufftHandle & get() const { return handle_; }
+
+  ~CuFFTHandle() {
+// Not using fftDestroy() for rocFFT to work around double freeing of handles
+#if !defined(USE_ROCM)
+    cufftDestroy(handle_);
+#endif
+  }
+};
+
+__forceinline__
+static bool is_pow_of_two(int64_t x) {
+  return (x & (x - 1)) == 0;
+}
+
+#if defined(USE_ROCM)
+    using cufft_size_type = int;
+#else
+    using cufft_size_type = long long int;
+#endif
+
+using CuFFTDimVector = c10::SmallVector<cufft_size_type, at::kDimVectorStaticSize>;
+
+// Struct representing a tensor in CuFFT's data layout for planning transforms
+// See NOTE [ cuFFT Embedded Strides ].
+struct CuFFTDataLayout {
+  CuFFTDimVector embed;
+  cufft_size_type stride, dist;
+  bool must_clone, simple;
+};
+
+// Returns a cufft embedding for a contiguous signal of the given size.
+// e.g. if the input is cloned, this will be the resulting data layout
+// See NOTE [ cuFFT Embedded Strides ].
+inline CuFFTDataLayout cufft_simple_embed(IntArrayRef sizes, bool onesided) {
+  CuFFTDataLayout layout;
+  layout.simple = true;
+  layout.must_clone = false;
+  layout.embed.assign(sizes.cbegin() + 1, sizes.cend());
+  if (onesided) {
+    layout.embed.back() = sizes.back() / 2 + 1;
+  }
+  layout.stride = 1;
+  layout.dist = 1;
+  for (const auto& len : layout.embed) {
+    layout.dist *= len;
+  }
+  return layout;
+}
+
+// Convert strides to a CuFFT embedded representation.
+// If strides cannot be embedded, returns a simple layout and sets must_clone flag
+// See NOTE [ cuFFT Embedded Strides ].
+inline CuFFTDataLayout as_cufft_embed(IntArrayRef strides, IntArrayRef sizes, bool onesided) {
+  const auto signal_ndim = strides.size() - 1;
+  CuFFTDataLayout layout;
+  auto last_stride = strides[signal_ndim];
+  layout.must_clone = (last_stride <= 0);
+
+  const auto last_dim_size = onesided ?
+      sizes[signal_ndim] / 2 + 1 : sizes[signal_ndim];
+  const auto signal_numel = c10::multiply_integers(sizes.slice(1, sizes.size() - 2)) * last_dim_size;
+
+  // Zero stides are not allowed, even if the batch size is one.
+  // If that happens just set a dummy case
+  if (sizes[0] == 1) {
+    layout.dist = signal_numel;
+  } else if (strides[0] == 0) {
+    layout.must_clone = true;
+  } else {
+    layout.dist = strides[0];
+  }
+
+  // Calculate the embedding shape, or set must_clone if the strides cannot be embedded
+  layout.embed.resize(signal_ndim);
+  for (auto i = signal_ndim - 1; !layout.must_clone && i > 0; i--) {
+    auto stride = strides[i];
+    if (sizes[i] == 1) {
+      layout.embed[i] = 1;
+    } else if (stride > 0 && stride % last_stride == 0) {
+      layout.embed[i] = stride / last_stride;
+      last_stride = stride;
+    } else {
+      layout.must_clone = true;
+    }
+  }
+
+  if (layout.must_clone) {
+    // If the input needs to be cloned, assume it will be contiguous
+    layout = cufft_simple_embed(sizes, onesided);
+    layout.must_clone = true;
+  } else {
+    layout.embed[0] = sizes[1];
+    layout.stride = strides[signal_ndim];
+    // Determine if layout represents a simple embedding (contiguous data)
+    layout.simple = [&] {
+      for (const auto i : c10::irange(1, signal_ndim - 1)) {
+        if (layout.embed[i] != sizes[i + 1]) {
+          return false;
+        }
+      }
+
+      return (layout.stride == 1 && layout.dist == signal_numel &&
+          layout.embed.back() == last_dim_size);
+    }();
+  }
+  return layout;
+}
+
+// This class contains all the information needed to execute a cuFFT plan:
+//   1. the plan
+//   2. whether to clone input before executing the plan
+//   3. the workspace size needed
+//
+// This class will be the **value** in the plan cache.
+// It **owns** the raw plan via a unique_ptr.
+class CuFFTConfig {
+public:
+
+  // Only move semantics is enought for this class. Although we already use
+  // unique_ptr for the plan, still remove copy constructor and assignment op so
+  // we don't accidentally copy and take perf hit.
+  CuFFTConfig(const CuFFTConfig&) = delete;
+  CuFFTConfig& operator=(CuFFTConfig const&) = delete;
+
+  explicit CuFFTConfig(const CuFFTParams& params):
+      CuFFTConfig(
+          IntArrayRef(params.input_strides_, params.signal_ndim_ + 1),
+          IntArrayRef(params.output_strides_, params.signal_ndim_ + 1),
+          IntArrayRef(params.sizes_, params.signal_ndim_ + 1),
+          params.fft_type_,
+          params.value_type_) {}
+
+  // For complex types, strides are in units of 2 * element_size(dtype)
+  // sizes are for the full signal, including batch size and always two-sided
+  CuFFTConfig(IntArrayRef in_strides, IntArrayRef out_strides,
+      IntArrayRef sizes, CuFFTTransformType fft_type, ScalarType dtype):
+        fft_type_(fft_type), value_type_(dtype) {
+
+    // signal sizes (excluding batch dim)
+    CuFFTDimVector signal_sizes(sizes.begin() + 1, sizes.end());
+
+    // input batch size
+    const int64_t batch = sizes[0];
+    const int64_t signal_ndim = sizes.size() - 1;
+
+    // Since cuFFT has limited non-unit stride support and various constraints, we
+    // use a flag to keep track throughout this function to see if we need to
+    // input = input.clone();
+
+#if defined(USE_ROCM)
+    // clone input to avoid issues with hipfft clobering the input and failing tests
+    clone_input = true;
+#else
+    clone_input = false;
+#endif
+
+    // For half, base strides on the real part of real-to-complex and
+    // complex-to-real transforms are not supported. Since our output is always
+    // contiguous, only need to check real-to-complex case.
+    if (dtype == ScalarType::Half) {
+      // cuFFT on half requires compute capability of at least SM_53
+      auto dev_prop = at::cuda::getCurrentDeviceProperties();
+      TORCH_CHECK(dev_prop->major >= 5 && !(dev_prop->major == 5 && dev_prop->minor < 3),
+               "cuFFT doesn't support signals of half type with compute "
+               "capability less than SM_53, but the device containing input half "
+               "tensor only has SM_", dev_prop->major, dev_prop->minor);
+      for (const auto i : c10::irange(signal_ndim)) {
+        TORCH_CHECK(is_pow_of_two(sizes[i + 1]),
+            "cuFFT only supports dimensions whose sizes are powers of two when"
+            " computing in half precision, but got a signal size of",
+            sizes.slice(1));
+      }
+      clone_input |= in_strides.back() != 1;
+    }
+
+    CuFFTDataLayout in_layout;
+    if (clone_input) {
+      in_layout = cufft_simple_embed(sizes, fft_type == CuFFTTransformType::C2R);
+    } else {
+      in_layout = as_cufft_embed(in_strides, sizes, fft_type == CuFFTTransformType::C2R);
+    }
+    auto out_layout = as_cufft_embed(out_strides, sizes, fft_type == CuFFTTransformType::R2C);
+    TORCH_INTERNAL_ASSERT(!out_layout.must_clone, "Out strides cannot be represented as CuFFT embedding");
+    clone_input |= in_layout.must_clone;
+
+    // Check if we can take advantage of simple data layout.
+    //
+    // See NOTE [ cuFFT Embedded Strides ] in native/cuda/SpectralOps.cu.
+
+    const bool simple_layout = in_layout.simple && out_layout.simple;
+
+#if defined(USE_ROCM)
+    hipfftType exec_type = [&]{
+      if (dtype == kFloat) {
+        switch (fft_type) {
+          case CuFFTTransformType::C2C: return HIPFFT_C2C;
+          case CuFFTTransformType::R2C: return HIPFFT_R2C;
+          case CuFFTTransformType::C2R: return HIPFFT_C2R;
+        }
+      } else if (dtype == kDouble) {
+        switch (fft_type) {
+          case CuFFTTransformType::C2C: return HIPFFT_Z2Z;
+          case CuFFTTransformType::R2C: return HIPFFT_D2Z;
+          case CuFFTTransformType::C2R: return HIPFFT_Z2D;
+        }
+      }
+      TORCH_CHECK(false, "hipFFT doesn't support transforms of type: ", dtype);
+    }();
+#else
+    cudaDataType itype, otype, exec_type;
+    const auto complex_input = cufft_complex_input(fft_type);
+    const auto complex_output = cufft_complex_output(fft_type);
+    if (dtype == ScalarType::Float) {
+      itype = complex_input ? CUDA_C_32F : CUDA_R_32F;
+      otype = complex_output ? CUDA_C_32F : CUDA_R_32F;
+      exec_type = CUDA_C_32F;
+    } else if (dtype == ScalarType::Double) {
+      itype = complex_input ? CUDA_C_64F : CUDA_R_64F;
+      otype = complex_output ? CUDA_C_64F : CUDA_R_64F;
+      exec_type = CUDA_C_64F;
+    } else if (dtype == ScalarType::Half) {
+      itype = complex_input ? CUDA_C_16F : CUDA_R_16F;
+      otype = complex_output ? CUDA_C_16F : CUDA_R_16F;
+      exec_type = CUDA_C_16F;
+    } else {
+      TORCH_CHECK(false, "cuFFT doesn't support tensor of type: ", dtype);
+    }
+#endif
+
+    // disable auto allocation of workspace to use THC allocator
+    CUFFT_CHECK(cufftSetAutoAllocation(plan(), /* autoAllocate */ 0));
+
+    size_t ws_size_t;
+
+    // make plan
+    if (simple_layout) {
+      // If with unit-stride, we tell cuFFT by setting inembed == onembed == NULL.
+      // In such case, cuFFT ignores istride, ostride, idist, and odist
+      // by assuming istride = ostride = 1.
+      //
+      // See NOTE [ cuFFT Embedded Strides ] in native/cuda/SpectralOps.cu.
+#if defined(USE_ROCM)
+      CUFFT_CHECK(hipfftMakePlanMany(plan(), signal_ndim, signal_sizes.data(),
+        /* inembed */ nullptr, /* base_istride */ 1, /* idist */ 1,
+        /* onembed */ nullptr, /* base_ostride */ 1, /* odist */ 1,
+        exec_type, batch, &ws_size_t));
+#else
+      CUFFT_CHECK(cufftXtMakePlanMany(plan(), signal_ndim, signal_sizes.data(),
+        /* inembed */ nullptr, /* base_istride */ 1, /* idist */ 1, itype,
+        /* onembed */ nullptr, /* base_ostride */ 1, /* odist */ 1, otype,
+        batch, &ws_size_t, exec_type));
+#endif
+    } else {
+#if defined(USE_ROCM)
+      CUFFT_CHECK(hipfftMakePlanMany(plan(), signal_ndim, signal_sizes.data(),
+        in_layout.embed.data(), in_layout.stride, in_layout.dist,
+        out_layout.embed.data(), out_layout.stride, out_layout.dist,
+        exec_type, batch, &ws_size_t));
+#else
+      CUFFT_CHECK(cufftXtMakePlanMany(plan(), signal_ndim, signal_sizes.data(),
+            in_layout.embed.data(), in_layout.stride, in_layout.dist, itype,
+            out_layout.embed.data(), out_layout.stride, out_layout.dist, otype,
+            batch, &ws_size_t, exec_type));
+#endif
+    }
+    ws_size = static_cast<int64_t>(ws_size_t);
+  }
+
+  const cufftHandle &plan() const { return plan_ptr.get(); }
+
+  CuFFTTransformType transform_type() const { return fft_type_; }
+  ScalarType data_type() const { return value_type_; }
+  bool should_clone_input() const { return clone_input; }
+  int64_t workspace_size() const { return ws_size; }
+
+private:
+  CuFFTHandle plan_ptr;
+  bool clone_input;
+  int64_t ws_size;
+  CuFFTTransformType fft_type_;
+  ScalarType value_type_;
+};
+
+#if defined(USE_ROCM)
+  // Note that the max plan number for CUDA version < 10 has to be 1023
+  // due to a bug that fails on the 1024th plan
+  constexpr int64_t CUFFT_MAX_PLAN_NUM = 1023;
+  constexpr int64_t CUFFT_DEFAULT_CACHE_SIZE = CUFFT_MAX_PLAN_NUM;
+#else
+  constexpr int64_t CUFFT_MAX_PLAN_NUM = std::numeric_limits<int64_t>::max();
+  // The default max cache size chosen for CUDA version > 10 is arbitrary.
+  // This number puts a limit on how big of a plan cache should we maintain by
+  // default. Users can always configure it via cufft_set_plan_cache_max_size.
+  constexpr int64_t CUFFT_DEFAULT_CACHE_SIZE = 4096;
+#endif
+static_assert(0 <= CUFFT_MAX_PLAN_NUM && CUFFT_MAX_PLAN_NUM <= std::numeric_limits<int64_t>::max(),
+              "CUFFT_MAX_PLAN_NUM not in size_t range");
+static_assert(CUFFT_DEFAULT_CACHE_SIZE >= 0 && CUFFT_DEFAULT_CACHE_SIZE <= CUFFT_MAX_PLAN_NUM,
+              "CUFFT_DEFAULT_CACHE_SIZE not in [0, CUFFT_MAX_PLAN_NUM] range");
+
+// This cache assumes that the mapping from key to value never changes.
+// This is **NOT** thread-safe. Please use a mutex when using it **AND** the
+// value returned from try_emplace_value.
+// The contract of using this cache is that try_emplace_value should only be
+// used when the max_size is positive.
+class CuFFTParamsLRUCache {
+public:
+  using kv_t = typename std::pair<CuFFTParams, CuFFTConfig>;
+  using map_t = typename std::unordered_map<std::reference_wrapper<CuFFTParams>,
+                                            typename std::list<kv_t>::iterator,
+                                            ParamsHash<CuFFTParams>,
+                                            ParamsEqual<CuFFTParams>>;
+  using map_kkv_iter_t = typename map_t::iterator;
+
+
+  CuFFTParamsLRUCache() : CuFFTParamsLRUCache(CUFFT_DEFAULT_CACHE_SIZE) {}
+
+  CuFFTParamsLRUCache(int64_t max_size) {
+    _set_max_size(max_size);
+  }
+
+  CuFFTParamsLRUCache(CuFFTParamsLRUCache&& other) noexcept :
+    _usage_list(std::move(other._usage_list)),
+    _cache_map(std::move(other._cache_map)),
+    _max_size(other._max_size) {}
+
+  CuFFTParamsLRUCache& operator=(CuFFTParamsLRUCache&& other) noexcept {
+    _usage_list = std::move(other._usage_list);
+    _cache_map = std::move(other._cache_map);
+    _max_size = other._max_size;
+    return *this;
+  }
+
+  // If key is in this cache, return the cached config. Otherwise, emplace the
+  // config in this cache and return it.
+  // Return const reference because CuFFTConfig shouldn't be tampered with once
+  // created.
+  const CuFFTConfig &lookup(CuFFTParams params) {
+    AT_ASSERT(_max_size > 0);
+
+    map_kkv_iter_t map_it = _cache_map.find(params);
+    // Hit, put to list front
+    if (map_it != _cache_map.end()) {
+      _usage_list.splice(_usage_list.begin(), _usage_list, map_it->second);
+      return map_it->second->second;
+    }
+
+    // Miss
+    // remove if needed
+    if (_usage_list.size() >= _max_size) {
+      auto last = _usage_list.end();
+      last--;
+      _cache_map.erase(last->first);
+      _usage_list.pop_back();
+    }
+
+    // construct new plan at list front, then insert into _cache_map
+    _usage_list.emplace_front(std::piecewise_construct,
+                       std::forward_as_tuple(params),
+                       std::forward_as_tuple(params));
+    auto kv_it = _usage_list.begin();
+    _cache_map.emplace(std::piecewise_construct,
+                std::forward_as_tuple(kv_it->first),
+                std::forward_as_tuple(kv_it));
+    return kv_it->second;
+  }
+
+  void clear() {
+    _cache_map.clear();
+    _usage_list.clear();
+  }
+
+  void resize(int64_t new_size) {
+    _set_max_size(new_size);
+    auto cur_size = _usage_list.size();
+    if (cur_size > _max_size) {
+      auto delete_it = _usage_list.end();
+      for (size_t i = 0; i < cur_size - _max_size; i++) {
+        delete_it--;
+        _cache_map.erase(delete_it->first);
+      }
+      _usage_list.erase(delete_it, _usage_list.end());
+    }
+  }
+
+  size_t size() const { return _cache_map.size(); }
+
+  size_t max_size() const noexcept { return _max_size; }
+
+  std::mutex mutex;
+
+private:
+  // Only sets size and does value check. Does not resize the data structures.
+  void _set_max_size(int64_t new_size) {
+    // We check that 0 <= new_size <= CUFFT_MAX_PLAN_NUM here. Since
+    // CUFFT_MAX_PLAN_NUM is of type size_t, we need to do non-negativity check
+    // first.
+    TORCH_CHECK(new_size >= 0,
+             "cuFFT plan cache size must be non-negative, but got ", new_size);
+    TORCH_CHECK(new_size <= CUFFT_MAX_PLAN_NUM,
+             "cuFFT plan cache size can not be larger than ", CUFFT_MAX_PLAN_NUM, ", but got ", new_size);
+    _max_size = static_cast<size_t>(new_size);
+  }
+
+  std::list<kv_t> _usage_list;
+  map_t _cache_map;
+  size_t _max_size;
+};
+
+// Since ATen is separated into CPU build and CUDA build, we need a way to call
+// these functions only when CUDA is loaded. We use CUDA hooks for this purpose
+// (at cuda/detail/CUDAHooks.cpp), and call the hooked functions from the actual
+// native function counterparts (at native/SpectralOps.cpp), i.e.,
+// _cufft_get_plan_cache_max_size, _cufft_set_plan_cache_max_size
+// _cufft_get_plan_cache_size, and _cufft_clear_plan_cache.
+int64_t cufft_get_plan_cache_max_size_impl(DeviceIndex device_index);
+void cufft_set_plan_cache_max_size_impl(DeviceIndex device_index, int64_t max_size);
+int64_t cufft_get_plan_cache_size_impl(DeviceIndex device_index);
+void cufft_clear_plan_cache_impl(DeviceIndex device_index);
+
+}}} // namespace at::native::detail

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cuda/DeviceSqrt.cuh

@@ -0,0 +1,25 @@
+#pragma once
+
+namespace at { namespace native {
+#if defined(USE_ROCM)
+// take these out when ROCm implements std:: math functions
+#include <math.h>
+template <typename scalar_t>
+static __forceinline__ __device__ scalar_t device_sqrt(scalar_t val);
+
+template <>
+__forceinline__ __device__ float device_sqrt(float val) {
+  return ::sqrtf(val);
+}
+
+template <>
+__forceinline__ __device__ double device_sqrt(double val) {
+  return ::sqrt(val);
+}
+#else
+template<typename scalar_t>
+__forceinline__ __device__ double device_sqrt(scalar_t val) {
+  return std::sqrt(val);
+}
+#endif
+}}

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cuda/DistributionTemplates.h

@@ -0,0 +1,671 @@
+#pragma once
+
+#include <ATen/AccumulateType.h>
+#include <ATen/Dispatch.h>
+#include <ATen/ExpandBase.h>
+#include <ATen/OpMathType.h>
+#include <ATen/native/TensorIterator.h>
+#include <ATen/native/cuda/Loops.cuh>
+#include <c10/util/Half.h>
+#include <ATen/cuda/CUDAApplyUtils.cuh>
+#include <ATen/cuda/CUDAContext.h>
+#include <ATen/cuda/detail/OffsetCalculator.cuh>
+#include <ATen/cuda/CUDAGraphsUtils.cuh>
+#include <ATen/detail/FunctionTraits.h>
+#include <ATen/core/DistributionsHelper.h>
+
+#include <curand.h>
+#include <curand_kernel.h>
+#include <curand_philox4x32_x.h>
+#include <cstdint>
+#include <limits>
+#include <utility>
+#include <mutex>
+#include <tuple>
+#include <type_traits>
+
+namespace at {
+namespace native {
+namespace {
+
+// launch bounds used for kernels utilizing TensorIterator
+const uint32_t block_size_bound = 256;
+const uint32_t grid_size_bound = 4;
+// number of randoms given by distributions like curand_uniform4, curand_uniform2_double
+// used in calculating philox offset.
+const uint32_t curand4_engine_calls = 4;
+
+// utility function that calculates proper philox_offset
+// for distributions utilizing TensorIterator. For distributions using
+// TensorIterator, we are using a grid-stride loop with each
+// thread yielding one element per thread. For the edge of the grid-stride
+// loop, if the tensor size is large, the unroll loop will kick in and the float4
+// from curand4 will start getting utilized (for common tensor sizes, we end up
+// using rand.x from each thread). Hence, the philox_offset is
+// (number of elements per thread * number of engine calls), which makes
+// sure that philox offset increment is not less than the number of randoms used
+// in each thread.
+std::tuple<uint64_t, dim3, dim3> calc_execution_policy(int64_t total_elements) {
+  const uint64_t numel = static_cast<uint64_t>(total_elements);
+  const uint32_t block_size = block_size_bound;
+  const uint32_t unroll = curand4_engine_calls;
+  dim3 dim_block(block_size);
+  dim3 grid((numel + block_size - 1) / block_size);
+  uint32_t blocks_per_sm = at::cuda::getCurrentDeviceProperties()->maxThreadsPerMultiProcessor / block_size;
+  grid.x = std::min(
+      static_cast<uint32_t>(at::cuda::getCurrentDeviceProperties()->multiProcessorCount) * blocks_per_sm,
+      grid.x);
+  //number of times random will be generated per thread, to offset philox counter in thc random state
+  uint64_t counter_offset = ((numel - 1) / (block_size * grid.x * unroll) + 1)
+                                * curand4_engine_calls;
+  return std::make_tuple(counter_offset, grid, dim_block);
+}
+
+// grid stride loop kernel for distributions
+template<typename accscalar_t, int unroll_factor, typename dist_t, typename transform_t>
+C10_LAUNCH_BOUNDS_2(block_size_bound, grid_size_bound)
+__global__ void distribution_elementwise_grid_stride_kernel(int numel,
+                                                            PhiloxCudaState philox_args,
+                                                            const dist_t dist_func,
+                                                            const transform_t transform_func) {
+  auto seeds = at::cuda::philox::unpack(philox_args);
+  int idx = blockIdx.x * blockDim.x + threadIdx.x;
+  curandStatePhilox4_32_10_t state;
+  curand_init(std::get<0>(seeds),
+              idx,
+              std::get<1>(seeds),
+              &state);
+
+  int rounded_size = ((numel - 1)/(blockDim.x * gridDim.x * unroll_factor)+1) *
+      blockDim.x * gridDim.x * unroll_factor;
+  for(int linear_index = idx; linear_index < rounded_size; linear_index += blockDim.x * gridDim.x * unroll_factor) {
+    auto rand = dist_func(&state);
+    #pragma unroll
+    for (int ii = 0; ii < unroll_factor; ii++) {
+      int li = linear_index + blockDim.x * gridDim.x * ii;
+      if (li < numel) {
+        transform_func(li, static_cast<accscalar_t>((&rand.x)[ii]));
+      }
+    }
+    __syncthreads();
+  }
+}
+
+/**
+ * distribution_nullary_kernel is analogous to gpu_kernel in
+ * ATen/native/cuda/Loops.cuh. Like gpu_kernel, it uses
+ * TensorIterator to launch a kernel. However, the differences are
+ *   - it launches a grid-stride loop based kernel. The kernel is not
+ *     generic like elementwise_kernel in Loops.cuh and is specialized
+ *     for the distribution kernels here.
+ *   - For big size tensors, we can launch multiple kernels recursively
+ *     (i.e. if (!iter.can_use_32bit_indexing())) and hence, the philox
+ *     offset calculation is done in this function.
+ *
+ * FIXME: Can we specialize elementwise_kernel and launch_kernel in Loops.cuh
+ * to have grid-stride loop kernel and then use that to launch our distribution
+ * kernels? Note that we need a grid-stride loop kernel because, we found by testing
+ * that it achieves peak effective bandwidth.
+ */
+template<typename scalar_t,
+         typename accscalar_t,
+         int unroll_factor,
+         typename RNG,
+         typename dist_t,
+         typename transform_t>
+void distribution_nullary_kernel(at::TensorIteratorBase& iter,
+                                 RNG gen,
+                                 const dist_t& dist_func,
+                                 const transform_t transform_func) {
+  static_assert(unroll_factor >= 1, "unroll_factor must be >= 1.");
+  int64_t numel = iter.numel();
+  if (numel == 0) {
+    return;
+  }
+
+  auto execution_policy = calc_execution_policy(numel);
+  auto counter_offset = std::get<0>(execution_policy);
+  auto grid = std::get<1>(execution_policy);
+  auto block = std::get<2>(execution_policy);
+  PhiloxCudaState rng_engine_inputs;
+  {
+    // See Note [Acquire lock when using random generators]
+    std::lock_guard<std::mutex> lock(gen->mutex_);
+    rng_engine_inputs = gen->philox_cuda_state(counter_offset);
+  }
+
+  if (!iter.can_use_32bit_indexing()) {
+    for (auto& sub_iter : iter.with_32bit_indexing()) {
+      distribution_nullary_kernel<scalar_t, accscalar_t, unroll_factor>(sub_iter,
+        gen, dist_func, transform_func);
+    }
+    return;
+  }
+
+  char* out_data = (char*)iter.data_ptr(0);
+
+  auto stream = at::cuda::getCurrentCUDAStream();
+  if (iter.is_trivial_1d()) {
+    auto strides = iter.get_inner_strides();
+    int stride0 = strides[0];
+    distribution_elementwise_grid_stride_kernel<accscalar_t, unroll_factor><<<grid, block, 0, stream>>>(
+      numel,
+      rng_engine_inputs,
+      dist_func,
+      [=]__device__(int idx, accscalar_t rand) {
+        scalar_t* out = (scalar_t*)&out_data[stride0 * idx];
+        *out = transform_func(rand);
+      }
+    );
+    C10_CUDA_KERNEL_LAUNCH_CHECK();
+  } else {
+    auto offset_calc = make_offset_calculator<1>(iter);
+    distribution_elementwise_grid_stride_kernel<accscalar_t, unroll_factor><<<grid, block, 0, stream>>>(
+      numel,
+      rng_engine_inputs,
+      dist_func,
+      [=]__device__(int idx, accscalar_t rand) {
+        auto offsets = offset_calc.get(idx);
+        scalar_t* out = (scalar_t*)&out_data[offsets[0]];
+        *out = transform_func(rand);
+      }
+    );
+    C10_CUDA_KERNEL_LAUNCH_CHECK();
+  }
+}
+
+// Binary kernel
+template <typename func_t, typename inp_offset_calc_t, typename out_offset_calc_t>
+__global__ void distribution_binary_elementwise_kernel(
+    int numel,
+    func_t f,
+    PhiloxCudaState philox_args,
+    typename function_traits<func_t>::result_type *output_data,
+    const typename function_traits<func_t>::template arg<1>::type *input_data_1,
+    const typename function_traits<func_t>::template arg<2>::type *input_data_2,
+    inp_offset_calc_t inp_calc,
+    out_offset_calc_t out_calc) {
+  auto seeds = at::cuda::philox::unpack(philox_args);
+
+  using input_t_1 = typename function_traits<func_t>::template arg<1>::type;
+  using input_t_2 = typename function_traits<func_t>::template arg<2>::type;
+
+  input_t_1 inputs_1[thread_work_size()];
+  input_t_2 inputs_2[thread_work_size()];
+
+  int base_index = block_work_size() * blockIdx.x;
+  int remaining = std::min<int>(numel - base_index, block_work_size());
+
+  curandStatePhilox4_32_10_t state;
+  curand_init(std::get<0>(seeds),
+              blockIdx.x * blockDim.x + threadIdx.x,
+              std::get<1>(seeds),
+              &state);
+
+  // load data into registers
+  int thread_idx = threadIdx.x;
+  #pragma unroll
+  for (int i = 0; i < thread_work_size(); i++) {
+    if (thread_idx >= remaining) {
+      break;
+    }
+    int input_idx = thread_idx + base_index;
+    auto offsets = inp_calc.get(input_idx);
+    inputs_1[i] = input_data_1[offsets[0]];
+    inputs_2[i] = input_data_2[offsets[1]];
+
+    thread_idx += num_threads();
+  }
+
+  // compute and store
+  thread_idx = threadIdx.x;
+  #pragma unroll
+  for (int i = 0; i < thread_work_size(); i++) {
+    if (thread_idx >= remaining) {
+      break;
+    }
+    int input_idx = thread_idx + base_index;
+    auto offsets = out_calc.get(input_idx);
+    output_data[offsets[0]] = f(state, inputs_1[i], inputs_2[i]);
+    thread_idx += num_threads();
+  }
+}
+
+template <typename func_t>
+void distribution_binary_kernel(TensorIteratorBase &iter, PhiloxCudaState philox_args, const func_t &f) {
+  static_assert(std::is_same<typename function_traits<func_t>::template arg<0>::type, curandStatePhilox4_32_10_t&>::value, "the first argument of functor must be curandStatePhilox4_32_10_t");
+  using input_t_1 = typename function_traits<func_t>::template arg<1>::type;
+  using input_t_2 = typename function_traits<func_t>::template arg<2>::type;
+  using output_t = typename function_traits<func_t>::result_type;
+
+  if (!iter.can_use_32bit_indexing()) {
+    for (auto& sub_iter : iter.with_32bit_indexing()) {
+      distribution_binary_kernel(sub_iter, philox_args, f);
+    }
+    return;
+  }
+
+  TORCH_INTERNAL_ASSERT_DEBUG_ONLY(iter.can_use_32bit_indexing());
+
+  int64_t numel = iter.numel();
+  if (numel == 0) {
+    return;
+  }
+
+  output_t *output_data = static_cast<output_t *>(iter.data_ptr(0));
+  const input_t_1 *input_data_1 = static_cast<const input_t_1 *>(iter.data_ptr(1));
+  const input_t_2 *input_data_2 = static_cast<const input_t_2 *>(iter.data_ptr(2));
+
+  int64_t grid = (numel + block_work_size() - 1) / block_work_size();
+  auto stream = at::cuda::getCurrentCUDAStream();
+
+  if (iter.is_contiguous()) {
+    distribution_binary_elementwise_kernel<<<grid,num_threads(), 0, stream>>>(
+        numel, f, philox_args, output_data, input_data_1, input_data_2,
+        TrivialOffsetCalculator<2>(), TrivialOffsetCalculator<1>());
+    C10_CUDA_KERNEL_LAUNCH_CHECK();
+  } else {
+    distribution_binary_elementwise_kernel<<<grid, num_threads(), 0, stream>>>(
+        numel, f, philox_args, output_data, input_data_1, input_data_2,
+        make_input_offset_calculator<2>(iter), make_output_offset_calculator(iter));
+    C10_CUDA_KERNEL_LAUNCH_CHECK();
+  }
+}
+
+} // namespace
+}} // namespace at::native
+
+
+namespace at {
+namespace native {
+namespace templates {
+namespace cuda {
+
+// ==================================================== Random ========================================================
+
+template<typename RNG>
+void random_from_to_kernel(TensorIteratorBase& iter, uint64_t range, int64_t base, RNG gen) {
+  AT_DISPATCH_ALL_TYPES_AND3(at::ScalarType::Bool, at::ScalarType::Half, at::ScalarType::BFloat16, iter.dtype(), "random_from_to_kernel_cuda", [&] {
+    if ((
+      std::is_same<scalar_t, int64_t>::value ||
+      std::is_same<scalar_t, double>::value ||
+      std::is_same<scalar_t, float>::value ||
+      std::is_same<scalar_t, at::BFloat16>::value) && range >= 1ULL << 32)
+    {
+      // define lambda to mod with range and add base
+      auto random_func = [range, base] __device__ (uint64_t rand) {
+        return transformation::uniform_int_from_to<scalar_t>(rand, range, base);
+      };
+      distribution_nullary_kernel<scalar_t, uint64_t, curand4_engine_calls/2>(iter,
+        gen,
+        [] __device__ (curandStatePhilox4_32_10_t* state) -> ulonglong2 {
+          ulonglong2 ret;
+          uint4 rand_val = curand4(state);
+          ret.x = (static_cast<uint64_t>(rand_val.x) << 32) | rand_val.y;
+          ret.y = (static_cast<uint64_t>(rand_val.z) << 32) | rand_val.w;
+          return ret;
+        },
+        random_func);
+    } else {
+      auto random_func = [range, base] __device__ (uint32_t rand) {
+        return transformation::uniform_int_from_to<scalar_t>(rand, range, base);
+      };
+      distribution_nullary_kernel<scalar_t, uint32_t, curand4_engine_calls>(iter,
+        gen,
+        [] __device__ (curandStatePhilox4_32_10_t* state) {
+          return curand4(state);
+        },
+        random_func);
+    }
+   });
+}
+
+// This is the special kernel to handle single specific case:
+// from(inclusive) = std::numeric_limits<int64_t>::lowest()
+// to(exclusive) = None (= std::numeric_limits<int64_t>::max() + 1)
+template<typename RNG>
+void random_full_64_bits_range_kernel(TensorIteratorBase& iter, RNG gen) {
+  AT_DISPATCH_ALL_TYPES_AND(at::ScalarType::BFloat16, iter.dtype(), "random_full_64_bits_range_kernel_cuda", [&] {
+    if (std::is_same<scalar_t, int64_t>::value ||
+        std::is_same<scalar_t, double>::value ||
+        std::is_same<scalar_t, float>::value ||
+        std::is_same<scalar_t, at::BFloat16>::value) {
+      auto random_func = [] __device__ (uint64_t rand) {
+        return transformation::uniform_int_full_range<scalar_t>(rand);
+      };
+      distribution_nullary_kernel<scalar_t, uint64_t, curand4_engine_calls/2>(iter,
+        gen,
+        [] __device__ (curandStatePhilox4_32_10_t* state) -> ulonglong2 {
+          ulonglong2 ret;
+          uint4 rand_val = curand4(state);
+          ret.x = (static_cast<uint64_t>(rand_val.x) << 32) | rand_val.y;
+          ret.y = (static_cast<uint64_t>(rand_val.z) << 32) | rand_val.w;
+          return ret;
+        },
+        random_func);
+    } else {
+      TORCH_CHECK(false, "random_full_64_bits_range_kernel_cuda handles only int64, double, float and bfloat16");
+    }
+  });
+}
+
+template<typename RNG>
+struct RandomFromToKernel {
+  void operator()(TensorIteratorBase& iter, uint64_t range, int64_t base, c10::optional<Generator> gen) {
+    random_from_to_kernel(iter, range, base, check_generator<RNG>(gen));
+  }
+  void operator()(TensorIteratorBase& iter, c10::optional<Generator> gen) {
+    random_full_64_bits_range_kernel(iter, check_generator<RNG>(gen));
+  }
+};
+
+template<typename RNG>
+void random_kernel(TensorIteratorBase& iter, RNG gen) {
+  AT_DISPATCH_ALL_TYPES_AND3(at::ScalarType::Half, at::ScalarType::BFloat16, at::ScalarType::Bool, iter.dtype(), "random_kernel_cuda", [&] {
+    if (std::is_same<scalar_t, double>::value || std::is_same<scalar_t, int64_t>::value) {
+      auto random_func = [] __device__ (uint64_t rand) {
+        return transformation::uniform_int<scalar_t>(rand);
+      };
+      distribution_nullary_kernel<scalar_t, uint64_t, curand4_engine_calls/2>(iter, gen,
+        [] __device__ (curandStatePhilox4_32_10_t* state) -> ulonglong2 {
+          ulonglong2 ret;
+          uint4 rand_val = curand4(state);
+          ret.x = (static_cast<uint64_t>(rand_val.x) << 32) | rand_val.y;
+          ret.y = (static_cast<uint64_t>(rand_val.z) << 32) | rand_val.w;
+          return ret;
+        },
+        random_func);
+    } else {
+      auto random_func = [] __device__ (uint32_t rand) {
+        return transformation::uniform_int<scalar_t>(rand);
+      };
+      distribution_nullary_kernel<scalar_t, uint32_t, curand4_engine_calls>(iter,
+        gen,
+        [] __device__ (curandStatePhilox4_32_10_t* state) {
+          return curand4(state);
+        },
+        random_func);
+    }
+  });
+}
+
+template<typename RNG>
+struct RandomKernel {
+  void operator()(TensorIteratorBase& iter, RNG gen) {
+    random_kernel(iter, gen);
+  }
+};
+
+// ====================================================================================================================
+
+template<typename scalar_t, typename accscalar_t, size_t curand4_engine_calls, typename RNG, typename transform_t>
+void uniform_and_transform(TensorIteratorBase& iter, RNG gen, transform_t transform) {
+  if (std::is_same<scalar_t, double>::value) {
+    distribution_nullary_kernel<scalar_t, accscalar_t, curand4_engine_calls/2>(iter,
+      gen,
+      [] __device__ (curandStatePhilox4_32_10_t* state) { return curand_uniform2_double(state); },
+      transform);
+  } else {
+    distribution_nullary_kernel<scalar_t, accscalar_t, curand4_engine_calls>(iter,
+      gen,
+      [] __device__ (curandStatePhilox4_32_10_t* state) { return curand_uniform4(state); },
+      transform);
+  }
+}
+
+template<typename scalar_t, typename accscalar_t, size_t curand4_engine_calls, typename RNG, typename transform_t>
+void normal_and_transform(TensorIteratorBase& iter, RNG gen, transform_t transform) {
+  if (std::is_same<scalar_t, double>::value) {
+    distribution_nullary_kernel<scalar_t, accscalar_t, curand4_engine_calls/2>(iter,
+      gen,
+      [] __device__ (curandStatePhilox4_32_10_t* state) { return curand_normal2_double(state); },
+      transform);
+  } else {
+    distribution_nullary_kernel<scalar_t, accscalar_t, curand4_engine_calls>(iter,
+      gen,
+      [] __device__ (curandStatePhilox4_32_10_t* state) { return curand_normal4(state); },
+      transform);
+  }
+}
+
+// ==================================================== Normal ========================================================
+
+template<typename RNG>
+void normal_kernel(const TensorBase &self, double mean_, double std_, RNG gen) {
+  auto iter = TensorIterator::borrowing_nullary_op(self);
+  AT_DISPATCH_FLOATING_TYPES_AND2(at::ScalarType::Half, at::ScalarType::BFloat16, iter.dtype(), "normal_kernel_cuda", [&] {
+    using accscalar_t = at::acc_type<scalar_t, true>;
+    auto mean = static_cast<accscalar_t>(mean_);
+    auto std = static_cast<accscalar_t>(std_);
+    // define lambda to multiply std and add mean
+    auto normal_func = [mean, std] __device__ (accscalar_t rand) {
+      return static_cast<scalar_t>(transformation::normal<accscalar_t>(rand, mean, std));
+    };
+    normal_and_transform<scalar_t, accscalar_t, curand4_engine_calls>(iter, gen, normal_func);
+   });
+}
+
+template<typename RNG>
+struct NormalKernel {
+  void operator()(const TensorBase &self, double mean, double std, c10::optional<Generator> gen) {
+    normal_kernel(self, mean, std, check_generator<RNG>(gen));
+  }
+};
+
+// ==================================================== Uniform ========================================================
+
+template<typename RNG>
+void uniform_kernel(TensorIteratorBase& iter, double from_, double to_, RNG gen) {
+  AT_DISPATCH_FLOATING_TYPES_AND2(at::ScalarType::Half, at::ScalarType::BFloat16, iter.dtype(), "uniform_kernel_cuda", [&] {
+    auto from = static_cast<scalar_t>(from_);
+    auto to = static_cast<scalar_t>(to_);
+    using opmath_t = at::opmath_type<scalar_t>;
+    auto range = static_cast<opmath_t>(to-from);
+    // define lambda to reverse bounds, multiply 'range' and add 'from_'
+    auto uniform_func = [range, from, to] __device__ (opmath_t rand) {
+      // Compute output value before reversing the bounds
+      // BEFORE TOUCHING THIS CODE READ: https://github.com/pytorch/pytorch/issues/96947
+      auto value = static_cast<scalar_t>(rand * range + from);
+      // reverse the bounds of curand4 from (0, 1] to [0, 1)
+      // Note that this method is from legacy THCTensorRandom and is likely to give
+      // you more 0-s, since, the probability of gettings 1-s is higher than 0-s and
+      // by reversing the bounds, we are flipping the probabilities of 1-s and 0-s.
+      // BEFORE TOUCHING THIS CODE READ: https://github.com/pytorch/pytorch/issues/16706
+      auto reverse_bound_value = value == to ? from : value;
+      return reverse_bound_value;
+    };
+    uniform_and_transform<scalar_t, opmath_t, curand4_engine_calls>(iter, gen, uniform_func);
+   });
+}
+
+template<typename RNG>
+struct UniformKernel {
+  void operator()(TensorIteratorBase& iter, double from, double to, c10::optional<Generator> gen) {
+    uniform_kernel(iter, from, to, check_generator<RNG>(gen));
+  }
+};
+
+// ================================================== LogNormal =======================================================
+
+template<typename RNG>
+void log_normal_kernel(TensorIteratorBase& iter, double mean_, double std_, RNG gen) {
+  AT_DISPATCH_FLOATING_TYPES_AND2(at::ScalarType::Half, at::ScalarType::BFloat16, iter.dtype(), "log_normal_cuda", [&] {
+    using accscalar_t = at::acc_type<scalar_t, true>;
+    auto mean = static_cast<accscalar_t>(mean_);
+    auto std = static_cast<accscalar_t>(std_);
+    // define lambda for log_normal transformation
+    auto log_normal_func = [mean, std] __device__ (accscalar_t rand) {
+      return static_cast<scalar_t>(transformation::log_normal<accscalar_t>(transformation::normal<accscalar_t>(rand, mean, std)));
+    };
+    normal_and_transform<scalar_t, accscalar_t, curand4_engine_calls>(iter, gen, log_normal_func);
+   });
+}
+
+template<typename RNG>
+struct LogNormalKernel {
+  void operator()(TensorIteratorBase& iter, double mean, double std, c10::optional<Generator> gen) {
+    log_normal_kernel(iter, mean, std, check_generator<RNG>(gen));
+  }
+};
+
+// =================================================== Geometric ======================================================
+
+template<typename RNG>
+void geometric_kernel(TensorIteratorBase& iter, double p, RNG gen) {
+  AT_DISPATCH_ALL_TYPES_AND2(at::ScalarType::Half, at::ScalarType::BFloat16, iter.dtype(), "geometric_cuda", [&] {
+    using accscalar_t = at::DiscreteDistributionType<scalar_t>::type;
+    // define lambda for geometric transformation
+    auto geometric_func = [p] __device__ (accscalar_t rand) {
+      return static_cast<scalar_t>(transformation::geometric<accscalar_t>(rand, p));
+    };
+    uniform_and_transform<scalar_t, accscalar_t, curand4_engine_calls>(iter, gen, geometric_func);
+  });
+}
+
+template<typename RNG>
+struct GeometricKernel {
+  void operator()(TensorIteratorBase& iter, double p, c10::optional<Generator> gen) {
+    geometric_kernel(iter, p, check_generator<RNG>(gen));
+  }
+};
+
+// ================================================== Exponential =====================================================
+
+template<typename RNG>
+void exponential_kernel(TensorIteratorBase& iter, double lambda_, RNG gen) {
+  TORCH_CHECK(isFloatingType(iter.dtype()), "Exponential distribution is a continuous probability distribution. dtype must be a floating point but you specified ", iter.dtype());
+  AT_DISPATCH_FLOATING_TYPES_AND2(at::ScalarType::Half, at::ScalarType::BFloat16, iter.dtype(), "exponential_cuda", [&] {
+    using accscalar_t = at::acc_type<scalar_t, true>;
+    auto lambda = static_cast<accscalar_t>(lambda_);
+    // define lambda for exponential transformation
+    auto exponential_func = [lambda] __device__ (accscalar_t rand) {
+      return static_cast<scalar_t>(transformation::exponential<accscalar_t>(rand, lambda));
+    };
+    uniform_and_transform<scalar_t, accscalar_t, curand4_engine_calls>(iter, gen, exponential_func);
+   });
+}
+
+template<typename RNG>
+struct ExponentialKernel {
+  void operator()(TensorIteratorBase& iter, double lambda, c10::optional<Generator> gen) {
+    exponential_kernel(iter, lambda, check_generator<RNG>(gen));
+  }
+};
+
+// ==================================================== Cauchy ========================================================
+
+template<typename RNG>
+void cauchy_kernel(TensorIteratorBase& iter, double median_, double sigma_, RNG gen) {
+  AT_DISPATCH_FLOATING_TYPES_AND2(at::ScalarType::Half, at::ScalarType::BFloat16, iter.dtype(), "cauchy_cuda", [&] {
+    using accscalar_t = at::acc_type<scalar_t, true>;
+    auto median = static_cast<accscalar_t>(median_);
+    auto sigma = static_cast<accscalar_t>(sigma_);
+    // define lambda for cauchy transformation
+    auto cauchy_func = [median, sigma] __device__ (accscalar_t rand) {
+      return static_cast<scalar_t>(transformation::cauchy<accscalar_t>(rand, median, sigma));
+    };
+    uniform_and_transform<scalar_t, accscalar_t, curand4_engine_calls>(iter, gen, cauchy_func);
+   });
+}
+
+template<typename RNG>
+struct CauchyKernel {
+  void operator()(TensorIteratorBase& iter, double median, double sigma, c10::optional<Generator> gen) {
+    cauchy_kernel(iter, median, sigma, check_generator<RNG>(gen));
+  }
+};
+
+// ==================================================== Bernoulli =====================================================
+
+template<typename scalar_t, typename prob_t>
+void bernoulli_tensor_cuda_kernel(
+    const TensorBase &ret, const at::TensorBase &p,
+    PhiloxCudaState philox_args) {
+  auto functor = [philox_args] __device__(
+          int n, scalar_t& v1, scalar_t& v2, scalar_t& v3, scalar_t& v4,
+          const prob_t& p1, const prob_t& p2, const prob_t& p3, const prob_t& p4) {
+        auto seeds = at::cuda::philox::unpack(philox_args);
+        curandStatePhilox4_32_10_t state;
+        curand_init(std::get<0>(seeds),
+                    blockIdx.x * blockDim.x + threadIdx.x,
+                    std::get<1>(seeds),
+                    &state);
+
+        // See Note [Register spilling in curand call for CUDA < 10]
+        float4 rand = curand_uniform4(&state);
+        switch (n) {
+          case 4: {
+            CUDA_KERNEL_ASSERT(0 <= p4 && p4 <= 1);
+            v4 = static_cast<scalar_t>(rand.w <= p4);
+            // fallthrough
+          }
+          case 3: {
+            CUDA_KERNEL_ASSERT(0 <= p3 && p3 <= 1);
+            v3 = static_cast<scalar_t>(rand.z <= p3);
+            // fallthrough
+          }
+          case 2: {
+            CUDA_KERNEL_ASSERT(0 <= p2 && p2 <= 1);
+            v2 = static_cast<scalar_t>(rand.y <= p2);
+            // fallthrough
+          }
+          case 1: {
+            CUDA_KERNEL_ASSERT(0 <= p1 && p1 <= 1);
+            v1 = static_cast<scalar_t>(rand.x <= p1);
+          }
+        }
+      };
+  // The template argument `4` below indicates that we want to operate on four
+  // element at each time. See NOTE [ CUDA_tensor_applyN helpers ] for details.
+  at::cuda::CUDA_tensor_apply2<scalar_t, prob_t, 4, decltype(functor),
+                               /*max_threads_per_block=*/512,
+                               /*min_blocks_per_sm==*/2>(ret, p, functor);
+}
+
+template<typename RNG>
+void bernoulli_kernel(const TensorBase &self, const TensorBase &p_, RNG gen) {
+  PhiloxCudaState rng_engine_inputs;
+  {
+    // See Note [Acquire lock when using random generators]
+    std::lock_guard<std::mutex> lock(gen->mutex_);
+    rng_engine_inputs = gen->philox_cuda_state(10);
+  }
+  TORCH_CHECK(at::isFloatingType(p_.scalar_type()), "expected probabilities tensor to have floating type, got ", p_.scalar_type());
+  // cast probabilities tensor to double for double `self` tensor, and to `float` for everything else
+  const auto p_type = self.dtype() == at::kDouble ? at::kDouble : at::kFloat;
+  auto p_cuda = p_.to(TensorOptions().device(self.device()).dtype(p_type));
+  auto p = expand_inplace(self, p_cuda);
+  AT_DISPATCH_ALL_TYPES_AND3(
+    at::ScalarType::Half, at::ScalarType::BFloat16, at::ScalarType::Bool, self.scalar_type(), "bernoulli_tensor_cuda_self_", [&] {
+      if (std::is_same<scalar_t, double>::value) {
+        return bernoulli_tensor_cuda_kernel<double, double>(self, *p, rng_engine_inputs);
+      } else {
+        return bernoulli_tensor_cuda_kernel<scalar_t, float>(self, *p, rng_engine_inputs);
+      }
+   });
+}
+
+template<typename RNG>
+void bernoulli_kernel(TensorIteratorBase& iter, double p, RNG gen) {
+  AT_DISPATCH_ALL_TYPES_AND3(
+    at::ScalarType::Half, at::ScalarType::BFloat16, at::ScalarType::Bool, iter.dtype(), "bernoulli_scalar_cuda_", [&] {
+      using accscalar_t = at::DiscreteDistributionType<scalar_t>::type;
+      // define lambda for bernoulli transformation
+      auto bernoulli_func = [p] __device__ (accscalar_t rand) {
+        return static_cast<scalar_t>(transformation::bernoulli<accscalar_t>(rand, p));
+      };
+      uniform_and_transform<scalar_t, accscalar_t, curand4_engine_calls>(iter, gen, bernoulli_func);
+   });
+}
+
+template<typename RNG>
+struct BernoulliKernel {
+  void operator()(TensorIteratorBase& iter, double p, c10::optional<Generator> gen) {
+    bernoulli_kernel(iter, p, check_generator<RNG>(gen));
+  }
+  void operator()(const TensorBase &self, const TensorBase &p_, c10::optional<Generator> gen) {
+    bernoulli_kernel(self, p_, check_generator<RNG>(gen));
+  }
+};
+
+}}}}

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cuda/ForeachFunctors.cuh

@@ -0,0 +1,681 @@
+#pragma once
+#include <ATen/OpMathType.h>
+#include <ATen/native/ForeachUtils.h>
+#include <ATen/native/cuda/MultiTensorApply.cuh>
+#include <ATen/native/cuda/Pow.cuh>
+
+namespace at::native {
+
+namespace {
+
+// TODO(crcrpar): Handle version bump in codegen.
+// rel:
+// https://github.com/pytorch/pytorch/blob/9cf84347767c8abb8feba18a9a1baba321eeb8b9/tools/autograd/gen_inplace_or_view_type.py#L481-L482
+inline void increment_version(TensorList tensors) {
+  for (const auto& t : tensors) {
+    t.unsafeGetTensorImpl()->bump_version();
+  }
+}
+
+// Initializes args and checks if all args are aligned
+template <int depth, typename T>
+__device__ bool init_args(
+    T** args,
+    TensorListMetadata<depth>& tl,
+    const int64_t chunk_idx,
+    const int64_t chunk_size,
+    const int64_t tensor_loc) {
+  bool all_aligned = true;
+  for (int i = 0; i < depth; i++) {
+    args[i] = (T*)tl.addresses[i][tensor_loc];
+    args[i] += chunk_idx * chunk_size;
+
+    if (!is_aligned(args[i])) {
+      all_aligned = false;
+    }
+  }
+  return all_aligned;
+}
+
+// Initializes args and checks if all args are aligned
+template <int depth, typename T, typename T2>
+__device__ bool init_args(
+    T** args,
+    TensorListScalarListMetadata<T2, depth>& tl,
+    const int64_t chunk_idx,
+    const int64_t chunk_size,
+    const int64_t tensor_loc) {
+  bool all_aligned = true;
+  for (int i = 0; i < depth; i++) {
+    args[i] = (T*)tl.addresses[i][tensor_loc];
+    args[i] += chunk_idx * chunk_size;
+
+    if (!is_aligned(args[i])) {
+      all_aligned = false;
+    }
+  }
+  return all_aligned;
+}
+
+template <int depth, typename T>
+__device__ bool init_args(
+    T** args,
+    FusedOptimizerTensorListMetadata<depth>& tl,
+    const int64_t chunk_idx,
+    const int64_t chunk_size,
+    const int64_t tensor_loc) {
+  bool all_aligned = true;
+  for (int i = 0; i < depth; i++) {
+    args[i] = (T*)tl.addresses[i][tensor_loc];
+    args[i] += chunk_idx * chunk_size;
+
+    if (!is_aligned(args[i])) {
+      all_aligned = false;
+    }
+  }
+  return all_aligned;
+}
+
+template <int depth, typename T>
+__device__ void load_args(
+    T r_args[][kILP],
+    T** args,
+    const int64_t i_start,
+    const int64_t chunk_size,
+    const int64_t n) {
+#pragma unroll
+  for (int ii = 0; ii < kILP; ii++) {
+    const auto i = i_start + threadIdx.x + ii * blockDim.x;
+    for (int r_index = 0; r_index < depth; r_index++) {
+      r_args[r_index][ii] = 0;
+      if (i < n && i < chunk_size) {
+        r_args[r_index][ii] = args[r_index][i];
+      }
+    }
+  }
+}
+
+template <typename T>
+__device__ void store_args(
+    T* dst,
+    T* src,
+    const int64_t i_start,
+    const int64_t chunk_size,
+    const int64_t n) {
+#pragma unroll
+  for (int ii = 0; ii < kILP; ii++) {
+    const int64_t i = i_start + threadIdx.x + ii * blockDim.x;
+    if (i < n && i < chunk_size)
+      dst[i] = src[ii];
+  }
+}
+
+template <int res_arg_index, typename Op, typename T, typename opmath_t>
+__device__ __forceinline__ void binary_op_scalar(
+    T r_args[][kILP],
+    T** args,
+    opmath_t scalar,
+    const int64_t n,
+    const int64_t chunk_size,
+    const bool all_aligned,
+    Op op) {
+  // to make things simple, we put aligned case in a different code path
+  if (n % kILP == 0 && chunk_size % kILP == 0 && all_aligned) {
+    for (int64_t i_start = threadIdx.x;
+         i_start * kILP < n && i_start * kILP < chunk_size;
+         i_start += blockDim.x) {
+      // load
+      load_store(r_args[0], args[0], 0, i_start);
+#pragma unroll
+      for (int ii = 0; ii < kILP; ii++) {
+        r_args[0][ii] = static_cast<T>(
+            op(static_cast<opmath_t>(r_args[0][ii]),
+               static_cast<opmath_t>(scalar)));
+      }
+      // store
+      load_store(args[res_arg_index], r_args[0], i_start, 0);
+    }
+  } else {
+    for (int64_t i_start = 0; i_start < n && i_start < chunk_size;
+         i_start += blockDim.x * kILP) {
+      // Regardless if depth is 1 (for inplace) or 2 (for out of place), r_args
+      // has depth 1
+      load_args<1>(r_args, args, i_start, chunk_size, n);
+#pragma unroll
+      for (int ii = 0; ii < kILP; ii++) {
+        r_args[0][ii] = static_cast<T>(
+            op(static_cast<opmath_t>(r_args[0][ii]),
+               static_cast<opmath_t>(scalar)));
+      }
+      store_args(args[res_arg_index], r_args[0], i_start, chunk_size, n);
+    }
+  }
+}
+
+template <int res_arg_index, typename Op, typename T, typename opmath_t>
+__device__ __forceinline__ void pointwise_op_scalar(
+    T r_args[][kILP],
+    T** args,
+    opmath_t scalar,
+    const int64_t n,
+    const int64_t chunk_size,
+    const bool all_aligned,
+    Op op) {
+  // to make things simple, we put aligned case in a different code path
+  if (n % kILP == 0 && chunk_size % kILP == 0 && all_aligned) {
+    for (int64_t i_start = threadIdx.x;
+         i_start * kILP < n && i_start * kILP < chunk_size;
+         i_start += blockDim.x) {
+      // load
+      load_store(r_args[0], args[0], 0, i_start);
+      load_store(r_args[1], args[1], 0, i_start);
+      load_store(r_args[2], args[2], 0, i_start);
+#pragma unroll
+      for (int ii = 0; ii < kILP; ii++) {
+        r_args[0][ii] = static_cast<T>(
+            static_cast<opmath_t>(r_args[0][ii]) +
+            scalar *
+                op(static_cast<opmath_t>(r_args[1][ii]),
+                   static_cast<opmath_t>(r_args[2][ii])));
+      }
+      // store
+      load_store(args[res_arg_index], r_args[0], i_start, 0);
+    }
+  } else {
+    for (int64_t i_start = 0; i_start < n && i_start < chunk_size;
+         i_start += blockDim.x * kILP) {
+      // Regardless if depth is 3 (for inplace) or 4 (for out of place), r_args
+      // has depth 3
+      load_args<3>(r_args, args, i_start, chunk_size, n);
+#pragma unroll
+      for (int ii = 0; ii < kILP; ii++) {
+        r_args[0][ii] = static_cast<T>(
+            static_cast<opmath_t>(r_args[0][ii]) +
+            scalar *
+                op(static_cast<opmath_t>(r_args[1][ii]),
+                   static_cast<opmath_t>(r_args[2][ii])));
+      }
+      store_args(args[res_arg_index], r_args[0], i_start, chunk_size, n);
+    }
+  }
+}
+
+//
+// Binary Functors
+//
+template <typename T, int depth, int r_args_depth, int res_arg_index>
+struct BinaryOpScalarFunctor {
+  using opmath_t = at::opmath_type<T>;
+  template <typename Op>
+  __device__ __forceinline__ void operator()(
+      int chunk_size,
+      TensorListMetadata<depth>& tl,
+      Op op,
+      opmath_t scalar) {
+    const int tensor_loc = tl.block_to_tensor[blockIdx.x];
+    const int chunk_idx = tl.block_to_chunk[blockIdx.x];
+    auto n = tl.numel_for_tensor[tensor_loc];
+
+    T* args[depth];
+    const bool all_aligned =
+        init_args<depth>(args, tl, chunk_idx, chunk_size, tensor_loc);
+    n -= chunk_idx * chunk_size;
+    T r_args[r_args_depth][kILP];
+
+    binary_op_scalar<res_arg_index>(
+        r_args, args, scalar, n, chunk_size, all_aligned, op);
+  }
+};
+
+template <typename T, int depth, int r_args_depth, int res_arg_index>
+struct BinaryOpScalarListFunctor {
+  using opmath_t = at::opmath_type<T>;
+  template <typename Op>
+  __device__ __forceinline__ void operator()(
+      int chunk_size,
+      TensorListScalarListMetadata<opmath_t, depth>& tl,
+      Op op) {
+    const auto tensor_loc = tl.block_to_tensor[blockIdx.x];
+    const auto chunk_idx = tl.block_to_chunk[blockIdx.x];
+    auto n = tl.numel_for_tensor[tensor_loc];
+
+    T* args[depth];
+    const bool all_aligned =
+        init_args<depth>(args, tl, chunk_idx, chunk_size, tensor_loc);
+    opmath_t scalar = tl.scalar_vals[tensor_loc];
+    n -= chunk_idx * chunk_size;
+    T r_args[r_args_depth][kILP];
+
+    binary_op_scalar<res_arg_index>(
+        r_args, args, scalar, n, chunk_size, all_aligned, op);
+  }
+};
+
+template <typename T, int depth, int r_args_depth, int res_arg_index>
+struct BinaryOpListAlphaFunctor {
+  using opmath_t = at::opmath_type<T>;
+  template <typename Op>
+  __device__ __forceinline__ void operator()(
+      int chunk_size,
+      TensorListMetadata<depth>& tl,
+      Op op,
+      opmath_t alpha) {
+    const auto tensor_loc = tl.block_to_tensor[blockIdx.x];
+    const auto chunk_idx = tl.block_to_chunk[blockIdx.x];
+    auto n = tl.numel_for_tensor[tensor_loc];
+
+    T* args[depth];
+    const bool all_aligned =
+        init_args<depth>(args, tl, chunk_idx, chunk_size, tensor_loc);
+    n -= chunk_idx * chunk_size;
+    T r_args[r_args_depth][kILP];
+
+    // to make things simple, we put aligned case in a different code path
+    if (n % kILP == 0 && chunk_size % kILP == 0 && all_aligned) {
+      for (int64_t i_start = threadIdx.x;
+           i_start * kILP < n && i_start * kILP < chunk_size;
+           i_start += blockDim.x) {
+        // load
+        load_store(r_args[0], args[0], 0, i_start);
+        load_store(r_args[1], args[1], 0, i_start);
+#pragma unroll
+        for (int ii = 0; ii < kILP; ii++) {
+          r_args[0][ii] = static_cast<T>(
+              op(static_cast<opmath_t>(r_args[0][ii]),
+                 alpha * static_cast<opmath_t>(r_args[1][ii])));
+        }
+        // store
+        load_store(args[res_arg_index], r_args[0], i_start, 0);
+      }
+    } else {
+      for (int64_t i_start = 0; i_start < n && i_start < chunk_size;
+           i_start += blockDim.x * kILP) {
+        load_args<r_args_depth>(r_args, args, i_start, chunk_size, n);
+#pragma unroll
+        for (int ii = 0; ii < kILP; ii++) {
+          r_args[0][ii] = static_cast<T>(
+              op(static_cast<opmath_t>(r_args[0][ii]),
+                 alpha * static_cast<opmath_t>(r_args[1][ii])));
+        }
+        store_args(args[res_arg_index], r_args[0], i_start, chunk_size, n);
+      }
+    }
+  }
+};
+
+template <typename T, int depth, int r_args_depth, int res_arg_index>
+struct BinaryOpScalarTensorFunctor {
+  using opmath_t = at::opmath_type<T>;
+  template <typename Op>
+  __device__ __forceinline__ void operator()(
+      int chunk_size,
+      TensorListMetadata<depth>& tl,
+      Op op,
+      T* scalar,
+      opmath_t alpha) {
+    const int tensor_loc = tl.block_to_tensor[blockIdx.x];
+    const int chunk_idx = tl.block_to_chunk[blockIdx.x];
+    auto n = tl.numel_for_tensor[tensor_loc];
+
+    T* args[depth];
+    const bool all_aligned =
+        init_args<depth>(args, tl, chunk_idx, chunk_size, tensor_loc);
+    n -= chunk_idx * chunk_size;
+    T r_args[r_args_depth][kILP];
+
+    // to make things simple, we put aligned case in a different code path
+    if (n % kILP == 0 && chunk_size % kILP == 0 && all_aligned) {
+      for (int64_t i_start = threadIdx.x;
+           i_start * kILP < n && i_start * kILP < chunk_size;
+           i_start += blockDim.x) {
+        // load
+        load_store(r_args[0], args[0], 0, i_start);
+#pragma unroll
+        for (int ii = 0; ii < kILP; ii++) {
+          r_args[0][ii] = static_cast<T>(op(
+              static_cast<opmath_t>(r_args[0][ii]),
+              static_cast<opmath_t>(alpha) * static_cast<opmath_t>(*scalar)));
+        }
+        // store
+        load_store(args[res_arg_index], r_args[0], i_start, 0);
+      }
+    } else {
+      for (int64_t i_start = 0; i_start < n && i_start < chunk_size;
+           i_start += blockDim.x * kILP) {
+        // Regardless if depth is 1 (for inplace) or 2 (for out of place),
+        // r_args has depth 1
+        load_args<1>(r_args, args, i_start, chunk_size, n);
+#pragma unroll
+        for (int ii = 0; ii < kILP; ii++) {
+          r_args[0][ii] = static_cast<T>(op(
+              static_cast<opmath_t>(r_args[0][ii]),
+              static_cast<opmath_t>(alpha) * static_cast<opmath_t>(*scalar)));
+        }
+        store_args(args[res_arg_index], r_args[0], i_start, chunk_size, n);
+      }
+    }
+  }
+};
+
+//
+// Unary Functors
+//
+
+template <typename T, int depth, int r_args_depth, int res_arg_index>
+struct ZeroFunctor {
+  __device__ __forceinline__ void operator()(
+      int chunk_size,
+      TensorListMetadata<1>& tl) {
+    const auto tensor_loc = tl.block_to_tensor[blockIdx.x];
+    const auto chunk_idx = tl.block_to_chunk[blockIdx.x];
+    auto n = tl.numel_for_tensor[tensor_loc];
+
+    T* args[depth];
+    const auto all_aligned =
+        init_args<depth>(args, tl, chunk_idx, chunk_size, tensor_loc);
+    n -= chunk_idx * chunk_size;
+    T r_args[r_args_depth][kILP];
+
+    // to make things simple, we put aligned case in a different code path
+    if (n % kILP == 0 && chunk_size % kILP == 0 && all_aligned) {
+      for (int64_t i_start = threadIdx.x;
+           i_start * kILP < n && i_start * kILP < chunk_size;
+           i_start += blockDim.x) {
+#pragma unroll
+        for (int ii = 0; ii < kILP; ii++) {
+          r_args[0][ii] = 0;
+        }
+        // store
+        load_store(args[0], r_args[0], i_start, 0);
+      }
+    } else {
+      for (int64_t i_start = 0; i_start < n && i_start < chunk_size;
+           i_start += blockDim.x * kILP) {
+#pragma unroll
+        for (int ii = 0; ii < kILP; ii++) {
+          r_args[0][ii] = 0;
+        }
+        store_args(args[res_arg_index], r_args[0], i_start, chunk_size, n);
+      }
+    }
+  }
+};
+
+template <typename T, int depth, int r_args_depth, int res_arg_index>
+struct UnaryOpFunctor {
+  using opmath_t = at::opmath_type<T>;
+  template <typename Op>
+  __device__ __forceinline__ void operator()(
+      int chunk_size,
+      TensorListMetadata<depth>& tl,
+      Op op) {
+    const auto tensor_loc = tl.block_to_tensor[blockIdx.x];
+    const auto chunk_idx = tl.block_to_chunk[blockIdx.x];
+    auto n = tl.numel_for_tensor[tensor_loc];
+
+    T* args[depth];
+    bool all_aligned =
+        init_args<depth>(args, tl, chunk_idx, chunk_size, tensor_loc);
+    n -= chunk_idx * chunk_size;
+    T r_args[r_args_depth][kILP];
+
+    // to make things simple, we put aligned case in a different code path
+    if (n % kILP == 0 && chunk_size % kILP == 0 && all_aligned) {
+      for (int64_t i_start = threadIdx.x;
+           i_start * kILP < n && i_start * kILP < chunk_size;
+           i_start += blockDim.x) {
+        // load
+        load_store(r_args[0], args[0], 0, i_start);
+#pragma unroll
+        for (int ii = 0; ii < kILP; ii++) {
+          r_args[0][ii] =
+              static_cast<T>(op(static_cast<opmath_t>(r_args[0][ii])));
+        }
+        // store
+        load_store(args[res_arg_index], r_args[0], i_start, 0);
+      }
+    } else {
+      for (int64_t i_start = 0; i_start < n && i_start < chunk_size;
+           i_start += blockDim.x * kILP) {
+        load_args<r_args_depth>(r_args, args, i_start, chunk_size, n);
+#pragma unroll
+        for (int ii = 0; ii < kILP; ii++) {
+          r_args[0][ii] =
+              static_cast<T>(op(static_cast<opmath_t>(r_args[0][ii])));
+        }
+        store_args(args[res_arg_index], r_args[0], i_start, chunk_size, n);
+      }
+    }
+  }
+};
+
+//
+// Pointwise Functors
+//
+
+template <typename T, int depth, int r_args_depth, int res_arg_index>
+struct PointwiseOpScalarFunctor {
+  using opmath_t = at::opmath_type<T>;
+  template <typename Op>
+  __device__ __forceinline__ void operator()(
+      int chunk_size,
+      TensorListMetadata<depth>& tl,
+      Op op,
+      opmath_t scalar) {
+    const auto tensor_loc = tl.block_to_tensor[blockIdx.x];
+    const auto chunk_idx = tl.block_to_chunk[blockIdx.x];
+    auto n = tl.numel_for_tensor[tensor_loc];
+
+    T* args[depth];
+    const bool all_aligned =
+        init_args<depth>(args, tl, chunk_idx, chunk_size, tensor_loc);
+    n -= chunk_idx * chunk_size;
+    T r_args[r_args_depth][kILP];
+
+    pointwise_op_scalar<res_arg_index>(
+        r_args, args, scalar, n, chunk_size, all_aligned, op);
+  }
+};
+
+template <typename T, int depth, int r_args_depth, int res_arg_index>
+struct PointwiseOpScalarListFunctor {
+  using opmath_t = at::opmath_type<T>;
+  template <typename Op>
+  __device__ __forceinline__ void operator()(
+      int chunk_size,
+      TensorListScalarListMetadata<opmath_t, depth>& tl,
+      Op op) {
+    const auto tensor_loc = tl.block_to_tensor[blockIdx.x];
+    const auto chunk_idx = tl.block_to_chunk[blockIdx.x];
+    auto n = tl.numel_for_tensor[tensor_loc];
+
+    T* args[depth];
+    const bool all_aligned =
+        init_args<depth>(args, tl, chunk_idx, chunk_size, tensor_loc);
+    opmath_t scalar = tl.scalar_vals[tensor_loc];
+    n -= chunk_idx * chunk_size;
+    T r_args[r_args_depth][kILP];
+
+    pointwise_op_scalar<res_arg_index>(
+        r_args, args, scalar, n, chunk_size, all_aligned, op);
+  }
+};
+
+template <typename T, int depth>
+struct PointwiseOpListFunctor {
+  using opmath_t = at::opmath_type<T>;
+  template <typename Op>
+  __device__ __forceinline__ void operator()(
+      int chunk_size,
+      TensorListMetadata<depth>& tl,
+      Op op) {
+    const auto tensor_loc = tl.block_to_tensor[blockIdx.x];
+    const auto chunk_idx = tl.block_to_chunk[blockIdx.x];
+    auto n = tl.numel_for_tensor[tensor_loc];
+
+    T* args[depth];
+    const bool all_aligned =
+        init_args<depth>(args, tl, chunk_idx, chunk_size, tensor_loc);
+    n -= chunk_idx * chunk_size;
+    T r_args[depth - 1][kILP];
+
+    // to make things simple, we put aligned case in a different code path
+    if (n % kILP == 0 && chunk_size % kILP == 0 && all_aligned) {
+      for (int64_t i_start = threadIdx.x;
+           i_start * kILP < n && i_start * kILP < chunk_size;
+           i_start += blockDim.x) {
+        // load
+        load_store(r_args[0], args[0], 0, i_start);
+        load_store(r_args[1], args[1], 0, i_start);
+#pragma unroll
+        for (int ii = 0; ii < kILP; ii++) {
+          r_args[0][ii] = static_cast<T>(
+              op(static_cast<opmath_t>(r_args[0][ii]),
+                 static_cast<opmath_t>(r_args[1][ii])));
+        }
+        // store
+        load_store(args[2], r_args[0], i_start, 0);
+      }
+    } else {
+      for (int64_t i_start = 0; i_start < n && i_start < chunk_size;
+           i_start += blockDim.x * kILP) {
+        load_args<depth - 1>(r_args, args, i_start, chunk_size, n);
+#pragma unroll
+        for (int ii = 0; ii < kILP; ii++) {
+          r_args[0][ii] = static_cast<T>(
+              op(static_cast<opmath_t>(r_args[0][ii]),
+                 static_cast<opmath_t>(r_args[1][ii])));
+        }
+        store_args(args[2], r_args[0], i_start, chunk_size, n);
+      }
+    }
+  }
+};
+
+template <typename T, int depth, int r_args_depth, int res_arg_index>
+struct TernaryOpListFunctor {
+  using opmath_t = at::opmath_type<T>;
+  template <typename Op>
+  __device__ __forceinline__ void operator()(
+      int chunk_size,
+      TensorListMetadata<depth>& tl,
+      Op op) {
+    static_assert(depth == 3 || depth == 4, "");
+    static_assert(depth >= r_args_depth, "");
+    static_assert(res_arg_index == depth - 1 || res_arg_index == 0, "");
+    const auto tensor_loc = tl.block_to_tensor[blockIdx.x];
+    const auto chunk_idx = tl.block_to_chunk[blockIdx.x];
+    auto n = tl.numel_for_tensor[tensor_loc];
+
+    T* args[depth];
+    const bool all_aligned =
+        init_args<depth>(args, tl, chunk_idx, chunk_size, tensor_loc);
+    n -= chunk_idx * chunk_size;
+    T r_args[r_args_depth][kILP];
+
+    if (n % kILP == 0 && chunk_size % kILP == 0 && all_aligned) {
+      for (int64_t i_start = threadIdx.x;
+           i_start * kILP < n && i_start * kILP < chunk_size;
+           i_start += blockDim.x) {
+        load_store(r_args[0], args[0], 0, i_start);
+        load_store(r_args[1], args[1], 0, i_start);
+        load_store(r_args[2], args[2], 0, i_start);
+#pragma unroll
+        for (int ii = 0; ii < kILP; ii++) {
+          r_args[0][ii] =
+              op(static_cast<opmath_t>(r_args[0][ii]),
+                 static_cast<opmath_t>(r_args[1][ii]),
+                 static_cast<opmath_t>(r_args[2][ii]));
+        }
+        load_store(args[res_arg_index], r_args[0], i_start, 0);
+      }
+    } else {
+      for (int64_t i_start = 0; i_start < n && i_start < chunk_size;
+           i_start += blockDim.x * kILP) {
+        load_args<r_args_depth>(r_args, args, i_start, chunk_size, n);
+#pragma unroll
+        for (int ii = 0; ii < kILP; ii++) {
+          r_args[0][ii] =
+              op(static_cast<opmath_t>(r_args[0][ii]),
+                 static_cast<opmath_t>(r_args[1][ii]),
+                 static_cast<opmath_t>(r_args[2][ii]));
+        }
+        store_args(args[res_arg_index], r_args[0], i_start, chunk_size, n);
+      }
+    }
+  }
+};
+
+template <typename T, int depth, int r_args_depth, int res_arg_index>
+struct TernaryOpScalarFunctor {
+  using opmath_t = at::opmath_type<T>;
+  template <typename Op>
+  __device__ __forceinline__ void operator()(
+      int chunk_size,
+      TensorListMetadata<depth>& tl,
+      Op op,
+      opmath_t alpha) {
+    static_assert(depth == 2 || depth == 3, "");
+    static_assert(depth >= r_args_depth, "");
+    static_assert(res_arg_index == depth - 1 || res_arg_index == 0, "");
+    const auto tensor_loc = tl.block_to_tensor[blockIdx.x];
+    const auto chunk_idx = tl.block_to_chunk[blockIdx.x];
+    auto n = tl.numel_for_tensor[tensor_loc];
+
+    T* args[depth];
+    const bool all_aligned =
+        init_args<depth>(args, tl, chunk_idx, chunk_size, tensor_loc);
+    n -= chunk_idx * chunk_size;
+    T r_args[r_args_depth][kILP];
+
+    // to make things simple, we put aligned case in a different code path
+    if (n % kILP == 0 && chunk_size % kILP == 0 && all_aligned) {
+      for (int64_t i_start = threadIdx.x;
+           i_start * kILP < n && i_start * kILP < chunk_size;
+           i_start += blockDim.x) {
+        // load
+        load_store(r_args[0], args[0], 0, i_start);
+        load_store(r_args[1], args[1], 0, i_start);
+#pragma unroll
+        for (int ii = 0; ii < kILP; ii++) {
+          r_args[0][ii] =
+              op(static_cast<opmath_t>(r_args[0][ii]),
+                 static_cast<opmath_t>(r_args[1][ii]),
+                 alpha);
+        }
+        // store
+        load_store(args[res_arg_index], r_args[0], i_start, 0);
+      }
+    } else {
+      for (int64_t i_start = 0; i_start < n && i_start < chunk_size;
+           i_start += blockDim.x * kILP) {
+        load_args<r_args_depth>(r_args, args, i_start, chunk_size, n);
+#pragma unroll
+        for (int ii = 0; ii < kILP; ii++) {
+          r_args[0][ii] =
+              op(static_cast<opmath_t>(r_args[0][ii]),
+                 static_cast<opmath_t>(r_args[1][ii]),
+                 alpha);
+        }
+        store_args(args[res_arg_index], r_args[0], i_start, chunk_size, n);
+      }
+    }
+  }
+};
+
+template <typename T>
+struct power_functor {
+  C10_DEVICE T operator()(const T& a, const T& b) const {
+    return at::native::pow_(a, b);
+  }
+};
+
+template <typename T>
+struct reverse_power_functor {
+  C10_DEVICE T operator()(const T& a, const T& b) const {
+    return at::native::pow_(b, a);
+  }
+};
+
+} // namespace
+} // namespace at::native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cuda/GridSampler.cuh

@@ -0,0 +1,321 @@
+#pragma once
+#include <ATen/native/cuda/KernelUtils.cuh>
+#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 __forceinline__ __device__
+scalar_t grid_sampler_unnormalize(scalar_t coord, int size, bool align_corners) {
+  if (align_corners) {
+    // unnormalize coord from [-1, 1] to [0, size - 1]
+    return ((coord + 1.f) / 2) * (size - 1);
+  } else {
+    // unnormalize coord from [-1, 1] to [-0.5, size - 0.5]
+    return ((coord + 1.f) * 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 __forceinline__ __device__
+scalar_t grid_sampler_unnormalize_set_grad(scalar_t coord, int 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.f) / 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.f) * size - 1) / 2;
+  }
+}
+
+// Clips coordinates to between 0 and clip_limit - 1
+template <typename scalar_t>
+static __forceinline__ __device__
+scalar_t clip_coordinates(scalar_t in, int clip_limit) {
+  return ::min(static_cast<scalar_t>(clip_limit - 1), ::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 __forceinline__ __device__
+scalar_t clip_coordinates_set_grad(scalar_t in, int 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 __forceinline__ __device__
+scalar_t reflect_coordinates(scalar_t in, int twice_low, int 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 = ::fabs(in - min);
+  // `fmod` returns same sign as `in`, which is positive after the `fabs` above.
+  scalar_t extra = ::fmod(in, span);
+  int flips = static_cast<int>(::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 __forceinline__ __device__
+scalar_t reflect_coordinates_set_grad(scalar_t in, int twice_low, int 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 = ::fmod(in, span);
+  int flips = static_cast<int>(::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;
+  }
+}
+
+template<typename scalar_t>
+static __forceinline__ __device__
+scalar_t safe_downgrade_to_int_range(scalar_t x){
+  // -100.0 does not have special meaning. This is just to make sure
+  // it's not within_bounds_2d or within_bounds_3d, and does not cause
+  // undefined behavior. See #35506.
+  if (x > INT_MAX-1 || x < INT_MIN || !::isfinite(static_cast<double>(x)))
+    return static_cast<scalar_t>(-100.0);
+  return x;
+}
+
+template<typename scalar_t>
+static __forceinline__ __device__
+scalar_t compute_coordinates(scalar_t coord, int 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);
+  }
+
+  coord = safe_downgrade_to_int_range(coord);
+  return coord;
+}
+
+// Computes the pixel source index value for a grid coordinate
+template <typename scalar_t>
+static __forceinline__ __device__
+scalar_t grid_sampler_compute_source_index(
+    scalar_t coord,
+    int 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 __forceinline__ __device__
+scalar_t grid_sampler_compute_source_index_set_grad(
+    scalar_t coord,
+    int 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;
+  }
+
+  coord = safe_downgrade_to_int_range(coord);
+  return coord;
+}
+
+static __forceinline__ __device__
+bool within_bounds_2d(int h, int w, int H, int W) {
+  return h >= 0 && h < H && w >= 0 && w < W;
+}
+
+static __forceinline__ __device__
+bool within_bounds_3d(int d, int h, int w, int D, int H, int W) {
+  return d >= 0 && d < D && h >= 0 && h < H && w >= 0 && w < W;
+}
+
+template<typename scalar_t>
+static __forceinline__ __device__
+scalar_t get_value_bounded(
+    scalar_t *data, scalar_t x, scalar_t y, int W, int H, int sW, int 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);
+
+  int ix = static_cast<int>(x);
+  int iy = static_cast<int>(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, typename index_t>
+static __forceinline__ __device__
+void safe_add_2d(scalar_t *data, int h, int w,
+                 int sH, int sW, int H, int W,
+                 scalar_t delta,
+                 const index_t NC_offset,
+                 const index_t memory_span) {
+  if (within_bounds_2d(h, w, H, W)) {
+    fastAtomicAdd(data,
+                  NC_offset + h * sH + w * sW,
+                  memory_span,
+                  delta,
+                  true);
+  }
+}
+
+template<typename scalar_t, typename index_t>
+static __forceinline__ __device__
+void safe_add_3d(scalar_t *data, int d, int h, int w,
+                 int sD, int sH, int sW, int D, int H, int W,
+                 scalar_t delta,
+                 const index_t NC_offset,
+                 const index_t memory_span) {
+  if (within_bounds_3d(d, h, w, D, H, W)) {
+    fastAtomicAdd(data,
+                  NC_offset + d * sD + h * sH + w * sW,
+                  memory_span,
+                  delta,
+                  true);
+  }
+}
+
+template<typename scalar_t, typename index_t>
+static __forceinline__ __device__
+void add_value_bounded(
+    scalar_t* data, scalar_t x, scalar_t y, int W, int H, int sW, int sH,
+    scalar_t delta,
+    GridSamplerPadding padding_mode,
+    bool align_corners,
+    const index_t NC_offset,
+    const index_t memory_span) {
+
+  x = compute_coordinates(x, W, padding_mode, align_corners);
+  y = compute_coordinates(y, H, padding_mode, align_corners);
+
+  int ix = static_cast<int>(x);
+  int iy = static_cast<int>(y);
+
+  safe_add_2d(data, iy, ix, sH, sW, H, W, delta, NC_offset, memory_span);
+}
+
+// Calculate the differential of the cubic convolution, i.e. `d coeff / d x`
+template<typename scalar_t>
+static __forceinline__ __device__
+void get_cubic_coefficients_grad(
+    scalar_t coeffs[4],
+    scalar_t t) {
+
+  // Must be the same as forward calculation in
+  // aten/src/ATen/native/cuda/UpSample.cuh: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

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cuda/GridSampler.h

@@ -0,0 +1,32 @@
+#pragma once
+#include <array>
+#include <cstdint>
+
+namespace at {
+class TensorBase;
+}
+
+namespace at {
+namespace native {
+
+void launch_grid_sampler_2d_forward_kernel(
+    const TensorBase &output, const TensorBase &input, const TensorBase &grid,
+    int64_t interpolation_mode, int64_t padding_mode, bool align_corners);
+
+void launch_grid_sampler_3d_forward_kernel(
+    const TensorBase &output, const TensorBase &input, const TensorBase &grid,
+    int64_t interpolation_mode, int64_t padding_mode, bool align_corners);
+
+void launch_grid_sampler_2d_backward_kernel(
+    const TensorBase &grad_input, const TensorBase &grad_grid,
+    const TensorBase &grad_output, const TensorBase &input,
+    const TensorBase &grid, int64_t interpolation_mode, int64_t padding_mode,
+    bool align_corners, std::array<bool, 2> output_mask);
+
+void launch_grid_sampler_3d_backward_kernel(
+    const TensorBase &grad_input, const TensorBase &grad_grid,
+    const TensorBase &grad_output, const TensorBase &input,
+    const TensorBase &grid, int64_t interpolation_mode, int64_t padding_mode,
+    bool align_corners, std::array<bool, 2> output_mask);
+
+}}  // namespace at::native

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cuda/JitLoops.cuh

@@ -0,0 +1,187 @@
+#pragma once
+
+#include <ATen/jit_macros.h>
+
+#if AT_USE_JITERATOR()
+
+#include <ATen/cuda/CUDAConfig.h>
+
+#include <ATen/OpMathType.h>
+#include <ATen/TensorIterator.h>
+#include <ATen/native/TensorIteratorDynamicCasting.h>
+
+#include <ATen/native/cuda/MemoryAccess.cuh>
+
+#include <ATen/native/cuda/CUDAJitLoops.cuh>
+
+namespace at {
+namespace native {
+
+/* Note [Jiterator]
+The "jiterator" simply just-in-time compiles the same kernels that
+Loops.cuh (and CUDALoops.cuh) usually build. This reduces build time,
+build size, and initial CUDA context size.
+
+By default on non-Windows systems, it also caches compiled kernels in ~/.cache/torch/kernels.
+This behavior is controlled with two environment variables:
+  - USE_PYTORCH_KERNEL_CACHE, if set to zero then this will disable all cache use
+  - PYTORCH_KERNEL_CACHE_PATH, if set specifies the folder to use for cached kernels
+
+The jiterator currently has some limitations, however. It cannot:
+  - handle math on complex datatypes
+  - handle kernels with scalar parameters
+
+These improvements will likely come soon.
+
+For examples of how to use the jiterator see the i1 and gcd kernel
+implementations, which pass jittable strings implementing their
+operations instead of the typical CUDA functors.
+
+To pass a runtime argument (similar to lambda captures in non-JIT kernels),
+we need to pass to additional arguments to `jitted_gpu_kernel` by value.
+Currently only primitive C++ types used for computation are valid.
+The order of these extra arguments should be same as the order they appear
+in kernel's function signature. (look at polygamma for example)
+
+NOTE: One big restriction being that these arguments should be after the
+arguments provided by TensorIterator. Eg. While capturing `n`, where
+`scalar_t x` and `scalar_t y` are provided by TensorIterator,
+* foo(scalar_t x, scalar_t y, int n) works!
+* foo(int n, scalar_t x, scalar_y) doesn't work
+* foo(scalar_t x, int n, scalar_y) doesn't work
+
+*/
+
+// Entrypoint for jitted GPU kernels.
+// Only handles elementwise unary and binary kernels with a
+//   common dtype and a single output.
+// NOTE: this assumes the op's iterator has a common_dtype.
+// NOTE: We use std::tuple instead of parameter pack
+//  for `extra_args` due to following
+// bug on older versions of clang
+// https://bugs.llvm.org/show_bug.cgi?id=23029
+template <
+    char const* name,
+    typename return_type,
+    typename f_inputs_type,
+    int arity,
+    typename... Args>
+void jitted_gpu_kernel(
+    TensorIteratorBase& iter,
+    const std::string& f,
+    at::cuda::jit::BinaryFuncVariant scalar_pos =
+        at::cuda::jit::BinaryFuncVariant::NoScalar,
+    at::opmath_type<f_inputs_type> scalar_val = 0,
+    std::tuple<Args...> extra_args = std::make_tuple()) {
+  // TODO: much of preamble is common to both jitted_gpu_kernel and gpu_kernel
+  //   Maybe it could be refactored?
+  for (int arg = 0; arg < iter.ntensors(); arg++) {
+    TORCH_INTERNAL_ASSERT(
+      iter.device(arg).is_cuda(),
+      "argument ", arg, ": expected a CUDA device but found ", iter.device(arg));
+  }
+
+  if (iter.numel() == 0) {
+    return;
+  }
+
+  if (!iter.can_use_32bit_indexing()) {
+    for (auto& sub_iter : iter.with_32bit_indexing()) {
+      jitted_gpu_kernel<name, return_type, f_inputs_type, arity>(
+          sub_iter, f, scalar_pos, scalar_val, extra_args);
+    }
+
+    return;
+  }
+
+  // Computes if dynamic casting is needed
+  // Dynamic casting is needed if an input's dtype differs from the common dtype
+  //   or if the result dtype differs from the output's dtype
+  // Note: this is intentionally divergent from calling needs_dynamic_casting,
+  //   which is more general and inspects a lambda to determine if dynamic
+  //   casting is needed.
+  bool needs_dynamic_casting = false;
+
+  // Checks output
+  const ScalarType return_scalar_type = c10::CppTypeToScalarType<return_type>::value;
+  const auto dtype0 = iter.dtype(0);
+  if (dtype0 != return_scalar_type) {
+    needs_dynamic_casting = true;
+  }
+
+  // Checks input(s)
+  const ScalarType inputs_scalar_type = c10::CppTypeToScalarType<f_inputs_type>::value;
+  for (auto i = decltype(arity){1}; i < (arity + 1); ++i) {
+    const auto dtypei = iter.dtype(i);
+    if (dtypei != inputs_scalar_type) {
+      needs_dynamic_casting = true;
+      break;
+    }
+  }
+  if (scalar_pos == at::cuda::jit::BinaryFuncVariant::NoScalar) {
+    // NOTE: With `scalar_pos=NoScalar`,`scalar_val` is not used
+    // for computation in the generated code and hence we pass a dummy
+    // value of `0`.
+    jitted_gpu_kernel_impl<
+        /*name*/ name,
+        /*return_type=*/return_type,
+        /*f_inputs_type=*/f_inputs_type,
+        arity,
+        at::cuda::jit::BinaryFuncVariant::NoScalar>(
+        iter, f, needs_dynamic_casting, /*scalar_val=*/scalar_val, extra_args);
+  } else if (scalar_pos == at::cuda::jit::BinaryFuncVariant::RhsScalar) {
+    jitted_gpu_kernel_impl<
+        /*name*/ name,
+        /*return_type=*/return_type,
+        /*f_inputs_type=*/f_inputs_type,
+        arity,
+        at::cuda::jit::BinaryFuncVariant::RhsScalar>(
+        iter,
+        f,
+        needs_dynamic_casting,
+        scalar_val,
+        extra_args);
+
+  } else {
+    jitted_gpu_kernel_impl<
+        /*name*/ name,
+        /*return_type=*/return_type,
+        /*f_inputs_type=*/f_inputs_type,
+        arity,
+        at::cuda::jit::BinaryFuncVariant::LhsScalar>(
+        iter,
+        f,
+        needs_dynamic_casting,
+        scalar_val,
+        extra_args);
+  }
+}
+
+// TODO: support runtime state capture similar to `jitted_gpu_kernel`.
+template <char const *name, typename return_type, typename f_inputs_type>
+void opmath_jitted_gpu_kernel_with_scalars(TensorIteratorBase& iter, const std::string& f) {
+  TORCH_INTERNAL_ASSERT(iter.ntensors() == 3);
+  //currently jiterator only handles binary functions where both inputs are of the same type (f_inputs_type)
+  using opmath_t = at::opmath_type<f_inputs_type>;
+  if (iter.is_cpu_scalar(1)) {
+    auto scalar_val = iter.scalar_value<opmath_t>(1);
+    iter.remove_operand(1);
+    // TODO: When all kernels that use gpu_kernel_with_scalars are
+    // ported to structured, this device guard can be deleted.  This
+    // works around incorrect device guard generation for pre-structured
+    // kernels device guards, but structured kernels do it right and
+    // we can assume the device is already set correctly
+    const OptionalDeviceGuard device_guard(iter.device(1));
+    jitted_gpu_kernel<name, return_type, f_inputs_type, 1>(iter, f, at::cuda::jit::BinaryFuncVariant::LhsScalar, scalar_val);
+  } else if (iter.is_cpu_scalar(2)) {
+    auto scalar_val = iter.scalar_value<opmath_t>(2);
+    iter.remove_operand(2);
+    jitted_gpu_kernel<name, return_type, f_inputs_type, 1>(iter, f, at::cuda::jit::BinaryFuncVariant::RhsScalar, scalar_val);
+  } else {
+    jitted_gpu_kernel<name, return_type, f_inputs_type, 2>(iter, f);
+  }
+}
+
+}}  // at::native
+
+#endif // AT_USE_JITERATOR()

env-llmeval/lib/python3.10/site-packages/torch/include/ATen/native/cuda/KernelUtils.cuh

@@ -0,0 +1,149 @@
+#pragma once
+#include <ATen/cuda/Atomic.cuh>
+
+#if !(defined(USE_ROCM) || ((defined(__CUDA_ARCH__) && (__CUDA_ARCH__ < 800))))
+#include <cuda_bf16.h>
+#endif
+
+namespace at {
+namespace native {
+
+__device__ __forceinline__ size_t
+idx(const size_t nc,
+    const size_t height,
+    const size_t width,
+    const size_t h,
+    const size_t w) {
+  return (nc * height + h) * width + w;
+}
+
+// for channels-last
+__device__ __forceinline__ size_t
+idx_cl(
+  const size_t n, const size_t h, const size_t w, const size_t c,
+  const size_t height, const size_t width, const size_t channel
+) {
+  return ((n * height + h) * width + w) * channel + c;
+}
+
+// fastSpecializedAtomicAdd (and fastAtomicAdd) are an optimization
+// that speed up half-precision atomics.  The situation with half
+// precision atomics is that we have a slow __half atomic, and
+// a fast vectored __half2 atomic (this can be worth up to a 6x
+// speedup, see https://github.com/pytorch/pytorch/pull/21879).
+// We can convert a __half atomic into a __half2 atomic by simply
+// pairing the __half with a zero entry on the left/right depending
+// on alignment... but only if this wouldn't cause an out of bounds
+// access!  Thus, you must specify tensor and numel so we can check
+// if you would be out-of-bounds and use a plain __half atomic if
+// you would be.
+template <
+    typename scalar_t,
+    typename index_t,
+    typename std::enable_if<std::is_same<c10::Half, scalar_t>::value>::type* =
+        nullptr>
+__device__ __forceinline__ void fastSpecializedAtomicAdd(
+    scalar_t* tensor,
+    index_t index,
+    const index_t numel,
+    scalar_t value) {
+#if (                      \
+    (defined(USE_ROCM)) || \
+    (defined(__CUDA_ARCH__) && (__CUDA_ARCH__ < 700)))
+  gpuAtomicAddNoReturn(
+      reinterpret_cast<at::Half*>(tensor) + index,
+      static_cast<at::Half>(value));
+#else
+  // Accounts for the chance tensor falls on an odd 16 bit alignment (ie, not 32 bit aligned)
+  __half* target_addr = reinterpret_cast<__half*>(tensor + index);
+  bool low_byte = (reinterpret_cast<std::uintptr_t>(target_addr) % sizeof(__half2) == 0);
+
+  if (low_byte && index < (numel - 1)) {
+    __half2 value2;
+    value2.x = static_cast<__half>(value);
+    value2.y = __int2half_rz(0);
+    atomicAdd(reinterpret_cast<__half2*>(target_addr), value2);
+
+  } else if (!low_byte && index > 0) {
+    __half2 value2;
+    value2.x = __int2half_rz(0);
+    value2.y = static_cast<__half>(value);
+    atomicAdd(reinterpret_cast<__half2*>(target_addr - 1), value2);
+
+  } else {
+    atomicAdd(
+        reinterpret_cast<__half*>(tensor) + index, static_cast<__half>(value));
+  }
+#endif
+}
+
+template <
+    typename scalar_t,
+    typename index_t,
+    typename std::enable_if<std::is_same<c10::BFloat16, scalar_t>::value>::type* =
+        nullptr>
+__device__ __forceinline__ void fastSpecializedAtomicAdd(
+    scalar_t* tensor,
+    index_t index,
+    const index_t numel,
+    scalar_t value) {
+#if (                      \
+    (defined(USE_ROCM)) || \
+    (defined(__CUDA_ARCH__) && (__CUDA_ARCH__ < 800)))
+  gpuAtomicAddNoReturn(
+      reinterpret_cast<at::BFloat16*>(tensor) + index,
+      static_cast<at::BFloat16>(value));
+#else
+  // Accounts for the chance tensor falls on an odd 16 bit alignment (ie, not 32 bit aligned)
+  __nv_bfloat16* target_addr = reinterpret_cast<__nv_bfloat16*>(tensor + index);
+  bool low_byte = (reinterpret_cast<std::uintptr_t>(target_addr) % sizeof(__nv_bfloat162) == 0);
+
+  if (low_byte && index < (numel - 1)) {
+    __nv_bfloat162 value2;
+    value2.x = *reinterpret_cast<__nv_bfloat16*>(&value);
+    value2.y = __int2bfloat16_rz(0);
+    atomicAdd(reinterpret_cast<__nv_bfloat162*>(target_addr), value2);
+
+  } else if (!low_byte && index > 0) {
+    __nv_bfloat162 value2;
+    value2.x = __int2bfloat16_rz(0);
+    value2.y = *reinterpret_cast<__nv_bfloat16*>(&value);
+    atomicAdd(reinterpret_cast<__nv_bfloat162*>(target_addr - 1), value2);
+
+  } else {
+    atomicAdd(
+        reinterpret_cast<__nv_bfloat16*>(tensor) + index, *reinterpret_cast<__nv_bfloat16*>(&value));
+  }
+#endif
+}
+
+
+template <
+    typename scalar_t,
+    typename index_t,
+    typename std::enable_if<!std::is_same<c10::Half, scalar_t>::value && !std::is_same<c10::BFloat16, scalar_t>::value >::type* =
+        nullptr>
+__device__ __forceinline__ void fastSpecializedAtomicAdd(
+    scalar_t* tensor,
+    index_t index,
+    const index_t numel,
+    scalar_t value) {
+  gpuAtomicAddNoReturn(tensor + index, value);
+}
+
+template <class scalar_t, class index_t>
+__device__ __forceinline__ void fastAtomicAdd(
+    scalar_t* tensor,
+    index_t index,
+    const index_t numel,
+    scalar_t value,
+    bool fast_atomics) {
+  if (fast_atomics) {
+    fastSpecializedAtomicAdd(tensor, index, numel, value);
+  } else {
+    gpuAtomicAddNoReturn(tensor + index, value);
+  }
+}
+
+} // namespace native
+} // namespace at