text: /* Copyright 2015 The TensorFlow Authors. All Rights Reserved.
  
  Licensed under the Apache License, Version 2.0 (the "License");
  you may not use this file except in compliance with the License.
  You may obtain a copy of the License at
  
      http://www.apache.org/licenses/LICENSE-2.0
  
  Unless required by applicable law or agreed to in writing, software
  distributed under the License is distributed on an "AS IS" BASIS,
  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
  See the License for the specific language governing permissions and
  limitations under the License.
  ==============================================================================*/
  
  // See docs in ../ops/nn_ops.cc.
  
  #define USE_EIGEN_TENSOR
  #define EIGEN_USE_THREADS
  
  #include <algorithm>
  #include <limits>
  #include <vector>
  
  #include "absl/base/dynamic_annotations.h"
  #include "tensorflow/core/framework/bounds_check.h"
  #include "tensorflow/core/framework/kernel_shape_util.h"
  #include "tensorflow/core/framework/numeric_op.h"
  #include "tensorflow/core/framework/op_kernel.h"
  #include "tensorflow/core/framework/register_types.h"
  #include "tensorflow/core/framework/tensor.h"
  #include "tensorflow/core/framework/tensor_shape.h"
  #include "tensorflow/core/framework/tensor_slice.h"
  #include "tensorflow/core/kernels/conv_2d.h"
  #include "tensorflow/core/kernels/conv_grad_ops.h"
  #include "tensorflow/core/kernels/conv_grad_shape_utils.h"
  #ifdef TENSORFLOW_USE_LIBXSMM_CONVOLUTIONS
  #include "tensorflow/core/kernels/xsmm_conv2d.h"
  #endif
  #include "tensorflow/core/lib/core/errors.h"
  #include "tensorflow/core/lib/gtl/array_slice.h"
  #include "tensorflow/core/platform/logging.h"
  #include "tensorflow/core/platform/macros.h"
  #include "tensorflow/core/util/padding.h"
  #include "tensorflow/core/util/tensor_format.h"
  #include "tensorflow/core/util/use_cudnn.h"
  #include "tensorflow/core/util/work_sharder.h"
  
  #if defined(TENSORFLOW_USE_CUSTOM_CONTRACTION_KERNEL)
  #include "tensorflow/core/kernels/eigen_contraction_kernel.h"
  #endif
  
  #if GOOGLE_CUDA || TENSORFLOW_USE_ROCM
  #include "tensorflow/core/kernels/conv_ops_gpu.h"
  #include "tensorflow/core/platform/stream_executor.h"
  #include "tensorflow/core/protobuf/autotuning.pb.h"
  #include "tensorflow/core/util/proto/proto_utils.h"
  #endif  // GOOGLE_CUDA || TENSORFLOW_USE_ROCM
  #if GOOGLE_CUDA
  #include "tensorflow/stream_executor/gpu/gpu_asm_opts.h"
  #include "tensorflow/stream_executor/gpu/redzone_allocator.h"
  #include "tensorflow/stream_executor/tf_allocator_adapter.h"
  #endif  // GOOGLE_CUDA
  
  namespace tensorflow {
  namespace {
  
  typedef Eigen::ThreadPoolDevice CPUDevice;
  typedef Eigen::GpuDevice GPUDevice;
  
  // Returns in 'im_data' (assumes to be zero-initialized) image patch in storage
  // order (height, width, depth), constructed from patches in 'col_data', which
  // is required to be in storage order (out_height * out_width, filter_height,
  // filter_width, in_depth).  Implementation by Yangqing Jia (jiayq).
  template <typename T>
  void Col2im(const T* col_data, const int depth, const int height,
              const int width, const int filter_h, const int filter_w,
              const int pad_t, const int pad_l, const int pad_b, const int pad_r,
              const int stride_h, const int stride_w, T* im_data) {
    int height_col = (height + pad_t + pad_b - filter_h) / stride_h + 1;
    int width_col = (width + pad_l + pad_r - filter_w) / stride_w + 1;
    int h_pad = -pad_t;
    for (int h = 0; h < height_col; ++h) {
      int w_pad = -pad_l;
      for (int w = 0; w < width_col; ++w) {
        T* im_patch_data = im_data + (h_pad * width + w_pad) * depth;
        for (int ih = h_pad; ih < h_pad + filter_h; ++ih) {
          for (int iw = w_pad; iw < w_pad + filter_w; ++iw) {
            if (ih >= 0 && ih < height && iw >= 0 && iw < width) {
              // TODO(andydavis) Vectorize this loop (if compiler does not).
              for (int i = 0; i < depth; ++i) {
                im_patch_data[i] += col_data[i];
              }
            }
            im_patch_data += depth;
            col_data += depth;
          }
          // Jump over remaining number of depth.
          im_patch_data += depth * (width - filter_w);
        }
        w_pad += stride_w;
      }
      h_pad += stride_h;
    }
  }
  
  // Computes backprop input using Eigen::SpatialConvolutionBackwardInput on CPU
  // and GPU (for int32 only).
  template <typename Device, typename T>
  struct LaunchConv2DBackpropInputOpImpl {
    void operator()(OpKernelContext* ctx, bool use_cudnn, bool cudnn_use_autotune,
                    const Tensor& out_backprop, const Tensor& filter,
                    int row_dilation, int col_dilation, int row_stride,
                    int col_stride, const Padding& padding,
                    const std::vector<int64>& explicit_paddings,
                    Tensor* in_backprop, TensorFormat data_format) {
      std::vector<int32> strides(4, 1);
      std::vector<int32> dilations(4, 1);
  
      auto input_h = GetTensorDimIndex(data_format, 'H');
      auto input_w = GetTensorDimIndex(data_format, 'W');
      strides[input_h] = row_stride;
      strides[input_w] = col_stride;
      dilations[input_h] = row_dilation;
      dilations[input_w] = col_dilation;
  
      const TensorShape& input_shape = in_backprop->shape();
      const TensorShape& filter_shape = filter.shape();
  
      ConvBackpropDimensions dims;
      OP_REQUIRES_OK(
          ctx, ConvBackpropComputeDimensionsV2(
                   "Conv2DBackpropInput", /*num_spatial_dims=*/2, input_shape,
                   filter_shape, out_backprop.shape(), dilations, strides,
                   padding, explicit_paddings, data_format, &dims));
  
      int64 padding_top = -1, padding_bottom = -1;
      int64 padding_left = -1, padding_right = -1;
      if (padding == EXPLICIT) {
        GetExplicitPaddingForDim(explicit_paddings, data_format, 'H',
                                 &padding_top, &padding_bottom);
        GetExplicitPaddingForDim(explicit_paddings, data_format, 'W',
                                 &padding_left, &padding_right);
      }
  
      int64 expected_out_rows, expected_out_cols;
      // The function is guaranteed to succeed because we checked the output and
      // padding was valid earlier.
      TF_CHECK_OK(GetWindowedOutputSizeVerboseV2(
          dims.spatial_dims[0].input_size, dims.spatial_dims[0].filter_size,
          row_dilation, row_stride, padding, &expected_out_rows, &padding_top,
          &padding_bottom));
      DCHECK_EQ(dims.spatial_dims[0].output_size, expected_out_rows);
  
      TF_CHECK_OK(GetWindowedOutputSizeVerboseV2(
          dims.spatial_dims[1].input_size, dims.spatial_dims[1].filter_size,
          col_dilation, col_stride, padding, &expected_out_cols, &padding_left,
          &padding_right));
      DCHECK_EQ(dims.spatial_dims[1].output_size, expected_out_cols);
  
      if (std::is_same<Device, GPUDevice>::value) {
        int64 size = 1;
  #define REQUIRES_32BIT(x)                                                   \
    size *= x;                                                                \
    OP_REQUIRES(ctx,                                                          \
                FastBoundsCheck(x, std::numeric_limits<int32>::max()) &&      \
                    FastBoundsCheck(size, std::numeric_limits<int32>::max()), \
                errors::InvalidArgument("Tensor too large"))
  
        REQUIRES_32BIT(in_backprop->dim_size(0));
        REQUIRES_32BIT(in_backprop->dim_size(1) + padding_top + padding_bottom);
        REQUIRES_32BIT(in_backprop->dim_size(2) + padding_left + padding_right);
        REQUIRES_32BIT(in_backprop->dim_size(3));
  #undef REQUIRES_32BIT
      }
  
      auto in_backprop_t = in_backprop->tensor<T, 4>();
      auto out_backprop_t = out_backprop.tensor<T, 4>();
      auto filter_t = filter.tensor<T, 4>();
  
      // WARNING: Need to swap row/col, padding_top/padding_left, and
      // padding_bottom/padding_right when calling Eigen. Eigen expects tensors
      // in NWHC format, but Tensorflow uses NHWC.
  
      if (padding != EXPLICIT) {
        // If padding was not explicitly defined, Eigen spatial convolution
        // backward input will infer correct forward paddings from input tensors.
        functor::SpatialConvolutionBackwardInputFunc<Device, T>()(
            ctx->eigen_device<Device>(), in_backprop_t, filter_t, out_backprop_t,
            col_stride, row_stride, col_dilation, row_dilation);
      } else {
        functor::SpatialConvolutionBackwardInputWithExplicitPaddingFunc<Device,
                                                                        T>()(
            ctx->eigen_device<Device>(), in_backprop_t, filter_t, out_backprop_t,
            in_backprop_t.dimension(2) + (padding_left + padding_right),
            in_backprop_t.dimension(1) + (padding_top + padding_bottom),
            col_stride, row_stride, col_dilation, row_dilation, padding_top,
            padding_left);
      }
    }
  };
  
  }  // namespace
  
  // Computes backprop input using Eigen::SpatialConvolutionBackwardInput on CPU.
  template <typename T>
  struct LaunchConv2DBackpropInputOp<CPUDevice, T> {
    void operator()(OpKernelContext* ctx, bool use_cudnn, bool cudnn_use_autotune,
                    const Tensor& out_backprop, const Tensor& filter,
                    int row_dilation, int col_dilation, int row_stride,
                    int col_stride, const Padding& padding,
                    const std::vector<int64>& explicit_paddings,
                    Tensor* in_backprop, TensorFormat data_format) {
      LaunchConv2DBackpropInputOpImpl<CPUDevice, T> launcher;
      launcher(ctx, use_cudnn, cudnn_use_autotune, out_backprop, filter,
               row_dilation, col_dilation, row_stride, col_stride, padding,
               explicit_paddings, in_backprop, data_format);
    }
  };
  
  #if GOOGLE_CUDA || TENSORFLOW_USE_ROCM
  // Computes backprop input using Eigen::SpatialConvolutionBackwardInput on GPU
  // for int32 inputs.
  template <>
  struct LaunchConv2DBackpropInputOp<GPUDevice, int32> {
    void operator()(OpKernelContext* ctx, bool use_cudnn, bool cudnn_use_autotune,
                    const Tensor& out_backprop, const Tensor& filter,
                    int row_dilation, int col_dilation, int row_stride,
                    int col_stride, const Padding& padding,
                    const std::vector<int64>& explicit_paddings,
                    Tensor* in_backprop, TensorFormat data_format) {
      LaunchConv2DBackpropInputOpImpl<GPUDevice, int32> launcher;
      launcher(ctx, use_cudnn, cudnn_use_autotune, out_backprop, filter,
               row_dilation, col_dilation, row_stride, col_stride, padding,
               explicit_paddings, in_backprop, data_format);
    }
  };
  #endif  // GOOGLE_CUDA || TENSORFLOW_USE_ROCM
  
  #ifdef TENSORFLOW_USE_LIBXSMM_CONVOLUTIONS
  template <typename Device, class T>
  struct LaunchXsmmBackwardInputConvolution {
    bool operator()(OpKernelContext* context, const Device& d,
                    typename TTypes<T, 4>::Tensor input_backward,
                    typename TTypes<T, 4>::ConstTensor kernel,
                    typename TTypes<T, 4>::ConstTensor output_backward,
                    int input_rows, int input_cols, int row_stride,
                    int col_stride, int pad_h, int pad_w,
                    TensorFormat data_format) const {
      return false;
    }
  };
  
  template <>
  struct LaunchXsmmBackwardInputConvolution<CPUDevice, float> {
    bool operator()(OpKernelContext* context, const CPUDevice& d,
                    typename TTypes<float, 4>::Tensor input_backward,
                    typename TTypes<float, 4>::ConstTensor kernel,
                    typename TTypes<float, 4>::ConstTensor output_backward,
                    int input_rows, int input_cols, int row_stride,
                    int col_stride, int pad_h, int pad_w,
                    TensorFormat data_format) const {
      auto batch = input_backward.dimension(0);
      auto in_depth = input_backward.dimension(3);
      auto out_depth = output_backward.dimension(3);
      auto filter_rows = kernel.dimension(0);
      auto filter_cols = kernel.dimension(1);
      auto num_threads =
          context->device()->tensorflow_cpu_worker_threads()->num_threads;
      // See libxsmm_dnn.h for this struct definition.
      libxsmm_dnn_conv_desc desc;
      desc.N = batch;
      desc.C = in_depth;
      desc.H = input_rows;
      desc.W = input_cols;
      desc.K = out_depth;
      desc.R = filter_rows;
      desc.S = filter_cols;
      desc.u = row_stride;
      desc.v = col_stride;
      desc.pad_h = pad_h;
      desc.pad_w = pad_w;
      desc.pad_h_in = 0;
      desc.pad_w_in = 0;
      desc.pad_h_out = 0;
      desc.pad_w_out = 0;
      desc.threads = num_threads;
      desc.algo = LIBXSMM_DNN_CONV_ALGO_DIRECT;
      desc.buffer_format = LIBXSMM_DNN_TENSOR_FORMAT_NHWC;
      desc.filter_format =
          LIBXSMM_DNN_TENSOR_FORMAT_LIBXSMM;  // LIBXSMM_DNN_TENSOR_FORMAT_RSCK;
      desc.fuse_ops = LIBXSMM_DNN_CONV_FUSE_NONE;
      desc.options = LIBXSMM_DNN_CONV_OPTION_OVERWRITE;
      desc.datatype_out = LIBXSMM_DNN_DATATYPE_F32;
      desc.datatype_in = LIBXSMM_DNN_DATATYPE_F32;
      auto input_ptr = input_backward.data();
      auto filter_ptr = kernel.data();
      auto output_ptr = output_backward.data();
  
      bool success = functor::XsmmBkwInputConv2D<CPUDevice, float>()(
          context, desc, input_ptr, filter_ptr, output_ptr);
      return success;
    }
  };
  #endif
  
  template <typename T>
  struct Conv2DCustomBackpropInputMatMulFunctor {
    using MatrixMap = Eigen::Map<
        Eigen::Matrix<T, Eigen::Dynamic, Eigen::Dynamic, Eigen::RowMajor>>;
    using ConstMatrixMap = Eigen::Map<
        const Eigen::Matrix<T, Eigen::Dynamic, Eigen::Dynamic, Eigen::RowMajor>>;
  
    void operator()(OpKernelContext* ctx, const T* out_data, const T* filter_data,
                    const int filter_total_size, const int output_image_size,
                    const int dims_out_depth, T* im2col_buf) {
      // Compute gradient into 'im2col_buf'.
      MatrixMap C(im2col_buf, output_image_size, filter_total_size);
  
      ConstMatrixMap A(out_data, output_image_size, dims_out_depth);
      ConstMatrixMap B(filter_data, filter_total_size, dims_out_depth);
  
      C.noalias() = A * B.transpose();
    }
  };
  
  #if defined(TENSORFLOW_USE_MKLDNN_CONTRACTION_KERNEL)
  template <>
  struct Conv2DCustomBackpropInputMatMulFunctor<float> {
    using T = float;
  
    void operator()(OpKernelContext* ctx, const T* out_data, const T* filter_data,
                    const int filter_total_size, const int output_image_size,
                    const int dims_out_depth, T* im2col_buf) {
      // Inputs are in RowMajor order, we "cheat" by swapping the LHS and RHS:
      //   RowMajor: C   = A   * B
      //   ColMajor: C^T = B^T * A^T
      //
      // Dimension names:
      //   out_image_size    -> ois
      //   filter_total_size -> fts
      //   dims_out_depth    -> dod
      //
      // RowMajor:
      //   im2col      = out_data    * filter_data^T
      //   [ois x fts] = [ois x dod] * [fts x dod]^T
      //
      // ColMajor:
      //   im2col^T    = filter_data *  out_data^T
      //   [fts x ois] = [fts x dod] * [dod x ois]*
  
      const int m = filter_total_size;
      const int n = output_image_size;
      const int k = dims_out_depth;  // contraction dim
  
      const char transposeA = 'T';  // sgemm(A) == filter_data
      const char transposeB = 'N';  // sgemm(B) == out_data
  
      const int ldA = dims_out_depth;
      const int ldB = dims_out_depth;
      const int ldC = filter_total_size;
  
      const float alpha = 1.0;
      const float beta = 0.0;
  
      // mkldnn_sgemm code can't be instrumented with msan.
      ANNOTATE_MEMORY_IS_INITIALIZED(
          im2col_buf, filter_total_size * output_image_size * sizeof(T));
  
      mkldnn_status_t st =
          mkldnn_sgemm(&transposeA, &transposeB, &m, &n, &k, &alpha, filter_data,
                       &ldA, out_data, &ldB, &beta, im2col_buf, &ldC);
  
      OP_REQUIRES(
          ctx, st == 0,
          errors::Internal("Failed to call mkldnn_sgemm. Error code: ", st));
    }
  };
  #endif
  
  template <typename Device, class T>
  class Conv2DBackpropInputOp : public OpKernel {
   public:
    explicit Conv2DBackpropInputOp(OpKernelConstruction* context)
        : OpKernel(context) {
      string data_format;
      OP_REQUIRES_OK(context, context->GetAttr("data_format", &data_format));
      OP_REQUIRES(context, FormatFromString(data_format, &data_format_),
                  errors::InvalidArgument("Invalid data format"));
  
      OP_REQUIRES_OK(context, context->GetAttr("strides", &strides_));
      OP_REQUIRES(context, strides_.size() == 4,
                  errors::InvalidArgument("Sliding window strides field must "
                                          "specify 4 dimensions"));
      int stride_n = GetTensorDim(strides_, data_format_, 'N');
      int stride_c = GetTensorDim(strides_, data_format_, 'C');
      int stride_h = GetTensorDim(strides_, data_format_, 'H');
      int stride_w = GetTensorDim(strides_, data_format_, 'W');
      OP_REQUIRES(
          context, (stride_n == 1 && stride_c == 1),
          errors::InvalidArgument("Current implementation does not yet support "
                                  "strides in the batch and depth dimensions."));
      OP_REQUIRES(context, stride_h > 0 && stride_w > 0,
                  errors::InvalidArgument(
                      "Row and column strides should be larger than 0."));
  
      OP_REQUIRES_OK(context, context->GetAttr("dilations", &dilations_));
      OP_REQUIRES(context, dilations_.size() == 4,
                  errors::InvalidArgument("Sliding window dilations field must "
                                          "specify 4 dimensions"));
      int dilation_n = GetTensorDim(dilations_, data_format_, 'N');
      int dilation_c = GetTensorDim(dilations_, data_format_, 'C');
      int dilation_h = GetTensorDim(dilations_, data_format_, 'H');
      int dilation_w = GetTensorDim(dilations_, data_format_, 'W');
      OP_REQUIRES(context, (dilation_n == 1 && dilation_c == 1),
                  errors::InvalidArgument(
                      "Current implementation does not yet support "
                      "dilations in the batch and depth dimensions."));
      OP_REQUIRES(
          context, dilation_h > 0 && dilation_w > 0,
          errors::InvalidArgument("Dilated rates should be larger than 0."));
  
      OP_REQUIRES_OK(context, context->GetAttr("padding", &padding_));
      OP_REQUIRES_OK(context,
                     context->GetAttr("explicit_paddings", &explicit_paddings_));
      OP_REQUIRES_OK(context, CheckValidPadding(padding_, explicit_paddings_,
                                                /*num_dims=*/4, data_format_));
  
      OP_REQUIRES_OK(context, context->GetAttr("use_cudnn_on_gpu", &use_cudnn_));
      use_cudnn_ &= CanUseCudnn();
      cudnn_use_autotune_ = CudnnUseAutotune();
  
      if (std::is_same<Device, CPUDevice>::value ||
          std::is_same<T, int32>::value) {
        OP_REQUIRES(
            context, data_format_ == FORMAT_NHWC,
            errors::InvalidArgument("Conv2DBackpropInputOp [CPU or GPU(int32)] "
                                    "only supports NHWC data format."));
  
        // TODO(yangzihao): Add a CPU implementation for dilated convolution.
        OP_REQUIRES(
            context, (dilation_h == 1 && dilation_w == 1),
            errors::InvalidArgument(
                "Conv2DBackpropInputOp [CPU or GPU(int32)] not yet support "
                "dilation rates larger than 1."));
      }
    }
  
    void Compute(OpKernelContext* context) override {
      const Tensor& input_sizes = context->input(0);
      const Tensor& filter = context->input(1);
      const Tensor& out_backprop = context->input(2);
      OP_REQUIRES(
          context, TensorShapeUtils::IsVector(input_sizes.shape()),
          errors::InvalidArgument(
              "Conv2DBackpropInput: input_sizes input must be 1-dim, not ",
              input_sizes.dims()));
      TensorShape input_shape;
      OP_REQUIRES_OK(context, TensorShapeUtils::MakeShape(
                                  input_sizes.vec<int32>(), &input_shape));
  
      Tensor* in_backprop = nullptr;
      OP_REQUIRES_OK(context,
                     context->allocate_output(0, input_shape, &in_backprop));
  
      // If there is nothing to compute, return.
      if (input_shape.num_elements() == 0) {
        return;
      }
  
      // For now we take the stride from the second and third dimensions only (we
      // do not support striding on the batch or depth dimension).
      const int stride_rows = GetTensorDim(strides_, data_format_, 'H');
      const int stride_cols = GetTensorDim(strides_, data_format_, 'W');
      const int dilation_rows = GetTensorDim(dilations_, data_format_, 'H');
      const int dilation_cols = GetTensorDim(dilations_, data_format_, 'W');
  
      VLOG(2) << "Conv2DBackpropInput:"
              << " input: " << input_shape.DebugString()
              << " filter:" << filter.shape().DebugString()
              << " out_backprop: " << out_backprop.shape().DebugString()
              << " strides: [" << stride_rows << ", " << stride_cols << "]"
              << " dilations: [" << dilation_rows << ", " << dilation_cols << "]";
  
      LaunchConv2DBackpropInputOp<Device, T> launch;
      launch(context, use_cudnn_, cudnn_use_autotune_, out_backprop, filter,
             dilation_rows, dilation_cols, stride_rows, stride_cols, padding_,
             explicit_paddings_, in_backprop, data_format_);
    }
  
   private:
    std::vector<int32> dilations_;
    std::vector<int32> strides_;
    TensorFormat data_format_;
    Padding padding_;
    std::vector<int64> explicit_paddings_;
  
    bool use_cudnn_ = false;
    bool cudnn_use_autotune_ = false;
  
    TF_DISALLOW_COPY_AND_ASSIGN(Conv2DBackpropInputOp);
  };
  
  // Based on implementation written by Yangqing Jia (jiayq).
  template <typename Device, class T>
  class Conv2DCustomBackpropInputOp : public OpKernel {
   public:
    explicit Conv2DCustomBackpropInputOp(OpKernelConstruction* context)
        : OpKernel(context) {
      string data_format;
      OP_REQUIRES_OK(context, context->GetAttr("data_format", &data_format));
      OP_REQUIRES(context, FormatFromString(data_format, &data_format_),
                  errors::InvalidArgument("Invalid data format"));
      OP_REQUIRES(context, data_format_ == FORMAT_NHWC,
                  errors::InvalidArgument(
                      "Conv2DCustomBackpropInputOp only supports NHWC."));
      OP_REQUIRES_OK(context, context->GetAttr("strides", &strides_));
      OP_REQUIRES(context, strides_.size() == 4,
                  errors::InvalidArgument("Sliding window strides field must "
                                          "specify 4 dimensions"));
      OP_REQUIRES(
          context, (strides_[0] == 1 && strides_[3] == 1),
          errors::InvalidArgument("Current implementation does not yet support "
                                  "strides in the batch and depth dimensions."));
      OP_REQUIRES(context, strides_[1] > 0 && strides_[2] > 0,
                  errors::InvalidArgument(
                      "Row and column strides should be larger than 0."));
      OP_REQUIRES_OK(context, context->GetAttr("padding", &padding_));
      OP_REQUIRES_OK(context, context->GetAttr("dilations", &dilations_));
      OP_REQUIRES(context, dilations_.size() == 4,
                  errors::InvalidArgument("Sliding window dilations field must "
                                          "specify 4 dimensions"));
      OP_REQUIRES(context, (dilations_[0] == 1 && dilations_[3] == 1),
                  errors::InvalidArgument(
                      "Current implementation does not yet support "
                      "dilations in the batch and depth dimensions."));
      // TODO(yangzihao): Add a CPU implementation for dilated convolution.
      OP_REQUIRES(context, (dilations_[1] == 1 && dilations_[2] == 1),
                  errors::InvalidArgument(
                      "Current libxsmm and customized CPU implementations do "
                      "not yet support dilation rates larger than 1."));
      OP_REQUIRES_OK(context,
                     context->GetAttr("explicit_paddings", &explicit_paddings_));
      OP_REQUIRES_OK(context, CheckValidPadding(padding_, explicit_paddings_,
                                                /*num_dims=*/4, data_format_));
    }
  
    void Compute(OpKernelContext* context) override {
      const Tensor& input_sizes = context->input(0);
      const Tensor& filter = context->input(1);
      const Tensor& out_backprop = context->input(2);
      OP_REQUIRES(
          context, TensorShapeUtils::IsVector(input_sizes.shape()),
          errors::InvalidArgument(
              "Conv2DBackpropInput: input_sizes input must be 1-dim, not ",
              input_sizes.dims()));
      TensorShape input_shape;
      OP_REQUIRES_OK(context, TensorShapeUtils::MakeShape(
                                  input_sizes.vec<int32>(), &input_shape));
  
      ConvBackpropDimensions dims;
      OP_REQUIRES_OK(context,
                     ConvBackpropComputeDimensionsV2(
                         "Conv2DCustomBackpropInput", /*num_spatial_dims=*/2,
                         input_shape, filter.shape(), out_backprop.shape(),
                         /*dilations=*/{1, 1, 1, 1}, strides_, padding_,
                         explicit_paddings_, data_format_, &dims));
  
      Tensor* in_backprop = nullptr;
      OP_REQUIRES_OK(context,
                     context->allocate_output(0, input_shape, &in_backprop));
  
      // If there is nothing to compute, return.
      if (input_shape.num_elements() == 0) {
        return;
      }
  
  // TODO(ezhulenev): Remove custom kernel and move XSMM support to
  // LaunchConv2DBackpropInputOp functor.
  #if defined TENSORFLOW_USE_LIBXSMM_CONVOLUTIONS && \
      defined TENSORFLOW_USE_LIBXSMM_BACKWARD_CONVOLUTIONS
      int64 pad_top, pad_bottom;
      int64 pad_left, pad_right;
      OP_REQUIRES_OK(
          context,
          GetWindowedOutputSizeVerbose(
              dims.spatial_dims[0].input_size, dims.spatial_dims[0].filter_size,
              dims.spatial_dims[0].stride, padding_,
              &dims.spatial_dims[0].output_size, &pad_top, &pad_bottom));
      OP_REQUIRES_OK(
          context,
          GetWindowedOutputSizeVerbose(
              dims.spatial_dims[1].input_size, dims.spatial_dims[1].filter_size,
              dims.spatial_dims[1].stride, padding_,
              &dims.spatial_dims[1].output_size, &pad_left, &pad_right));
  
      if (pad_left == pad_right && pad_top == pad_bottom) {
        if (LaunchXsmmBackwardInputConvolution<Device, T>()(
                context, context->eigen_device<Device>(),
                in_backprop->tensor<T, 4>(), filter.tensor<T, 4>(),
                out_backprop.tensor<T, 4>(), dims.spatial_dims[0].input_size,
                dims.spatial_dims[1].input_size,
                static_cast<int>(dims.spatial_dims[0].stride),
                static_cast<int>(dims.spatial_dims[1].stride),
                static_cast<int>(pad_top), static_cast<int>(pad_left),
                data_format_)) {
          return;
        }
      }
  #else
      int64 pad_top, pad_bottom;
      int64 pad_left, pad_right;
  #endif
      if (padding_ == Padding::EXPLICIT) {
        pad_top = explicit_paddings_[2];
        pad_bottom = explicit_paddings_[3];
        pad_left = explicit_paddings_[4];
        pad_right = explicit_paddings_[5];
      }
      OP_REQUIRES_OK(
          context,
          GetWindowedOutputSizeVerbose(
              dims.spatial_dims[0].input_size, dims.spatial_dims[0].filter_size,
              dims.spatial_dims[0].stride, padding_,
              &dims.spatial_dims[0].output_size, &pad_top, &pad_bottom));
      OP_REQUIRES_OK(
          context,
          GetWindowedOutputSizeVerbose(
              dims.spatial_dims[1].input_size, dims.spatial_dims[1].filter_size,
              dims.spatial_dims[1].stride, padding_,
              &dims.spatial_dims[1].output_size, &pad_left, &pad_right));
  
      // The total dimension size of each kernel.
      const int filter_total_size = dims.spatial_dims[0].filter_size *
                                    dims.spatial_dims[1].filter_size *
                                    dims.in_depth;
      // The output image size is the spatial size of the output.
      const int output_image_size =
          dims.spatial_dims[0].output_size * dims.spatial_dims[1].output_size;
  
      // TODO(andydavis) Get L2/L3 cache sizes from device.
      const size_t l2_cache_size = 256LL << 10;
      const size_t l3_cache_size = 30LL << 20;
  
      // Use L3 cache size as target working set size.
      const size_t target_working_set_size = l3_cache_size / sizeof(T);
  
      // Calculate size of matrices involved in MatMul: C = A x B.
      const size_t size_A = output_image_size * dims.out_depth;
  
      const size_t size_B = filter_total_size * dims.out_depth;
  
      const size_t size_C = output_image_size * filter_total_size;
  
      const size_t work_unit_size = size_A + size_B + size_C;
  
      auto worker_threads = *(context->device()->tensorflow_cpu_worker_threads());
  
      // Calculate per-thread work unit size.
      const size_t thread_work_unit_size =
          work_unit_size / worker_threads.num_threads;
  
      // Set minimum per-thread work unit size to size of L2 cache.
      const size_t min_thread_work_unit_size = l2_cache_size / sizeof(T);
  
      // Use parallel tensor contractions if there is no batching, or if the
      // minimum per-thread work unit size threshold has been exceeded.
      // Otherwise, revert to multiple single-threaded matmul ops running in
      // parallel to keep all threads busy.
      // TODO(andydavis) Explore alternatives to branching the code in this way
      // (i.e. run multiple, parallel tensor contractions in another thread pool).
      const bool use_parallel_contraction =
          dims.batch_size == 1 ||
          thread_work_unit_size >= min_thread_work_unit_size;
  
      const size_t shard_size =
          use_parallel_contraction
              ? 1
              : (target_working_set_size + work_unit_size - 1) / work_unit_size;
  
      Tensor col_buffer;
      OP_REQUIRES_OK(context,
                     context->allocate_temp(
                         DataTypeToEnum<T>::value,
                         TensorShape({static_cast<int64>(shard_size),
                                      static_cast<int64>(output_image_size),
                                      static_cast<int64>(filter_total_size)}),
                         &col_buffer));
  
      // The input offset corresponding to a single input image.
      const int input_offset = dims.spatial_dims[0].input_size *
                               dims.spatial_dims[1].input_size * dims.in_depth;
      // The output offset corresponding to a single output image.
      const int output_offset = dims.spatial_dims[0].output_size *
                                dims.spatial_dims[1].output_size * dims.out_depth;
  
      const T* filter_data = filter.template flat<T>().data();
      T* col_buffer_data = col_buffer.template flat<T>().data();
      const T* out_backprop_data = out_backprop.template flat<T>().data();
  
      auto in_backprop_flat = in_backprop->template flat<T>();
      T* input_backprop_data = in_backprop_flat.data();
      in_backprop_flat.device(context->eigen_device<Device>()) =
          in_backprop_flat.constant(T(0));
  
      if (use_parallel_contraction) {
        typedef Eigen::TensorMap<Eigen::Tensor<T, 2, Eigen::RowMajor>,
                                 Eigen::Unaligned>
            TensorMap;
        typedef Eigen::TensorMap<Eigen::Tensor<const T, 2, Eigen::RowMajor>,
                                 Eigen::Unaligned>
            ConstTensorMap;
  
        // Initialize contraction dims (we need to transpose 'B' below).
        Eigen::array<Eigen::IndexPair<Eigen::DenseIndex>, 1> contract_dims;
        contract_dims[0].first = 1;
        contract_dims[0].second = 1;
  
        for (int image_id = 0; image_id < dims.batch_size; ++image_id) {
          // Compute gradient into col_buffer.
          TensorMap C(col_buffer_data, output_image_size, filter_total_size);
  
          ConstTensorMap A(out_backprop_data + output_offset * image_id,
                           output_image_size, dims.out_depth);
          ConstTensorMap B(filter_data, filter_total_size, dims.out_depth);
  
          C.device(context->eigen_cpu_device()) = A.contract(B, contract_dims);
  
          Col2im<T>(
              col_buffer_data, dims.in_depth, dims.spatial_dims[0].input_size,
              dims.spatial_dims[1].input_size, dims.spatial_dims[0].filter_size,
              dims.spatial_dims[1].filter_size, pad_top, pad_left, pad_bottom,
              pad_right, dims.spatial_dims[0].stride, dims.spatial_dims[1].stride,
              input_backprop_data);
  
          input_backprop_data += input_offset;
        }
      } else {
        for (int image_id = 0; image_id < dims.batch_size;
             image_id += shard_size) {
          const int shard_limit =
              std::min(static_cast<int>(shard_size),
                       static_cast<int>(dims.batch_size) - image_id);
  
          auto shard = [&context, &dims, &pad_top, &pad_left, &pad_bottom,
                        &pad_right, &output_image_size, &filter_total_size,
                        &input_backprop_data, &col_buffer_data,
                        &out_backprop_data, &filter_data, &input_offset,
                        &output_offset, &size_C](int64 start, int64 limit) {
            for (int shard_id = start; shard_id < limit; ++shard_id) {
              T* im2col_buf = col_buffer_data + shard_id * size_C;
              T* input_data = input_backprop_data + shard_id * input_offset;
              const T* out_data = out_backprop_data + shard_id * output_offset;
  
              Conv2DCustomBackpropInputMatMulFunctor<T>()(
                  context, out_data, filter_data, filter_total_size,
                  output_image_size, dims.out_depth, im2col_buf);
  
              Col2im<T>(im2col_buf, dims.in_depth,
                        dims.spatial_dims[0].input_size,
                        dims.spatial_dims[1].input_size,
                        dims.spatial_dims[0].filter_size,
                        dims.spatial_dims[1].filter_size, pad_top, pad_left,
                        pad_bottom, pad_right, dims.spatial_dims[0].stride,
                        dims.spatial_dims[1].stride, input_data);
            }
          };
          Shard(worker_threads.num_threads, worker_threads.workers, shard_limit,
                work_unit_size, shard);
  
          input_backprop_data += input_offset * shard_limit;
          out_backprop_data += output_offset * shard_limit;
        }
      }
    }
  
   private:
    std::vector<int32> dilations_;
    std::vector<int32> strides_;
    Padding padding_;
    std::vector<int64> explicit_paddings_;
    TensorFormat data_format_;
  
    TF_DISALLOW_COPY_AND_ASSIGN(Conv2DCustomBackpropInputOp);
  };
  
  // TODO(ezhulenev): Add a cost model to switch between custom/Eigen ops.
  #define DEFAULT_CPU_OP Conv2DCustomBackpropInputOp
  
  #define REGISTER_CPU_KERNELS(T)                                              \
    REGISTER_KERNEL_BUILDER(                                                   \
        Name("Conv2DBackpropInput").Device(DEVICE_CPU).TypeConstraint<T>("T"), \
        DEFAULT_CPU_OP<CPUDevice, T>);                                         \
    REGISTER_KERNEL_BUILDER(Name("Conv2DBackpropInput")                        \
                                .Device(DEVICE_CPU)                            \
                                .Label("custom")                               \
                                .TypeConstraint<T>("T"),                       \
                            Conv2DCustomBackpropInputOp<CPUDevice, T>);        \
    REGISTER_KERNEL_BUILDER(Name("Conv2DBackpropInput")                        \
                                .Device(DEVICE_CPU)                            \
                                .Label("eigen_tensor")                         \
                                .TypeConstraint<T>("T"),                       \
                            Conv2DBackpropInputOp<CPUDevice, T>);
  
  TF_CALL_half(REGISTER_CPU_KERNELS);
  TF_CALL_float(REGISTER_CPU_KERNELS);
  TF_CALL_double(REGISTER_CPU_KERNELS);
  TF_CALL_int32(REGISTER_CPU_KERNELS);
  #undef REGISTER_CPU_KERNELS
  #undef DEFAULT_CPU_OP
  
  // To be used inside depthwise_conv_grad_op.cc.
  template struct LaunchConv2DBackpropInputOp<CPUDevice, Eigen::half>;
  template struct LaunchConv2DBackpropInputOp<CPUDevice, float>;
  template struct LaunchConv2DBackpropInputOp<CPUDevice, double>;
  
  // GPU definitions.
  #if GOOGLE_CUDA || TENSORFLOW_USE_ROCM
  // The slow version (but compiles for GPU)
  
  // A dummy type to group forward backward data autotune results together.
  struct ConvBackwardDataAutoTuneGroup {
    static string name() { return "ConvBwdData"; }
  };
  typedef AutoTuneSingleton<ConvBackwardDataAutoTuneGroup, ConvParameters,
                            se::dnn::AlgorithmConfig>
      AutoTuneConvBwdData;
  
  template <typename T>
  void LaunchConv2DBackpropInputOp<GPUDevice, T>::operator()(
      OpKernelContext* ctx, bool use_cudnn, bool cudnn_use_autotune,
      const Tensor& out_backprop, const Tensor& filter, int row_dilation,
      int col_dilation, int row_stride, int col_stride, const Padding& padding,
      const std::vector<int64>& explicit_paddings, Tensor* in_backprop,
      TensorFormat data_format) {
    using se::dnn::AlgorithmConfig;
    using se::dnn::AlgorithmDesc;
    using se::dnn::ProfileResult;
  
    std::vector<int32> strides(4, 1);
    std::vector<int32> dilations(4, 1);
    auto input_h = GetTensorDimIndex(data_format, 'H');
    auto input_w = GetTensorDimIndex(data_format, 'W');
    strides[input_h] = row_stride;
    strides[input_w] = col_stride;
    dilations[input_h] = row_dilation;
    dilations[input_w] = col_dilation;
    TensorShape input_shape = in_backprop->shape();
  
    const TensorShape& filter_shape = filter.shape();
    ConvBackpropDimensions dims;
    OP_REQUIRES_OK(
        ctx, ConvBackpropComputeDimensionsV2(
                 "Conv2DSlowBackpropInput", /*num_spatial_dims=*/2, input_shape,
                 filter_shape, out_backprop.shape(), dilations, strides, padding,
                 explicit_paddings, data_format, &dims));
  
    int64 padding_top = -1, padding_bottom = -1;
    int64 padding_left = -1, padding_right = -1;
    if (padding == EXPLICIT) {
      GetExplicitPaddingForDim(explicit_paddings, data_format, 'H', &padding_top,
                               &padding_bottom);
      GetExplicitPaddingForDim(explicit_paddings, data_format, 'W', &padding_left,
                               &padding_right);
    }
    int64 expected_out_rows, expected_out_cols;
    // The function is guaranteed to succeed because we checked the output and
    // padding was valid earlier.
    TF_CHECK_OK(GetWindowedOutputSizeVerboseV2(
        dims.spatial_dims[0].input_size, dims.spatial_dims[0].filter_size,
        row_dilation, row_stride, padding, &expected_out_rows, &padding_top,
        &padding_bottom));
    DCHECK_EQ(dims.spatial_dims[0].output_size, expected_out_rows);
    TF_CHECK_OK(GetWindowedOutputSizeVerboseV2(
        dims.spatial_dims[1].input_size, dims.spatial_dims[1].filter_size,
        col_dilation, col_stride, padding, &expected_out_cols, &padding_left,
        &padding_right));
    DCHECK_EQ(dims.spatial_dims[1].output_size, expected_out_cols);
  
    auto* stream = ctx->op_device_context()->stream();
    OP_REQUIRES(ctx, stream, errors::Internal("No GPU stream available."));
  
    if (!use_cudnn) {
      ctx->SetStatus(errors::Unimplemented(
          "Conv2DBackpropInput for GPU is not currently supported "
          "without cudnn"));
      return;
    }
  
    // If the filter in-depth (filter_shape.dim_size(2)) is 1 and smaller than the
    // input depth, it's a depthwise convolution. More generally, if the filter
    // in-depth divides but is smaller than the input depth, it is a grouped
    // convolution.
    bool is_grouped_convolution = filter_shape.dim_size(2) != dims.in_depth;
    if (dims.spatial_dims[0].filter_size == 1 &&
        dims.spatial_dims[1].filter_size == 1 && !is_grouped_convolution &&
        dims.spatial_dims[0].stride == 1 && dims.spatial_dims[1].stride == 1 &&
        data_format == FORMAT_NHWC && (padding == VALID || padding == SAME)) {
      // 1x1 filter, so call cublas directly.
      const uint64 m = dims.batch_size * dims.spatial_dims[0].input_size *
                       dims.spatial_dims[1].input_size;
      const uint64 k = dims.out_depth;
      const uint64 n = dims.in_depth;
  
      auto a_ptr = AsDeviceMemory(out_backprop.template flat<T>().data(),
                                  out_backprop.template flat<T>().size());
      auto b_ptr = AsDeviceMemory(filter.template flat<T>().data(),
                                  filter.template flat<T>().size());
      auto c_ptr = AsDeviceMemory(in_backprop->template flat<T>().data(),
                                  in_backprop->template flat<T>().size());
  
      auto transpose = se::blas::Transpose::kTranspose;
      auto no_transpose = se::blas::Transpose::kNoTranspose;
  
      bool blas_launch_status =
          stream
              ->ThenBlasGemm(transpose, no_transpose, n, m, k, 1.0f, b_ptr, k,
                             a_ptr, k, 0.0f, &c_ptr, n)
              .ok();
      if (!blas_launch_status) {
        ctx->SetStatus(errors::Internal("Blas SGEMM launch failed : m=", m,
                                        ", n=", n, ", k=", k));
      }
      return;
    } else if (dims.spatial_dims[0].filter_size ==
                   dims.spatial_dims[0].input_size &&
               dims.spatial_dims[1].filter_size ==
                   dims.spatial_dims[1].input_size &&
               !is_grouped_convolution && padding == VALID &&
               data_format == FORMAT_NHWC) {
      // The input data and filter have the same height/width, and we are not
      // using grouped convolution, so call cublas directly.
      const uint64 m = dims.batch_size;
      const uint64 k = dims.out_depth;
      const uint64 n = dims.spatial_dims[0].input_size *
                       dims.spatial_dims[1].input_size * dims.in_depth;
  
      auto a_ptr = AsDeviceMemory(out_backprop.template flat<T>().data(),
                                  out_backprop.template flat<T>().size());
      auto b_ptr = AsDeviceMemory(filter.template flat<T>().data(),
                                  filter.template flat<T>().size());
      auto c_ptr = AsDeviceMemory(in_backprop->template flat<T>().data(),
                                  in_backprop->template flat<T>().size());
  
      auto transpose = se::blas::Transpose::kTranspose;
      auto no_transpose = se::blas::Transpose::kNoTranspose;
  
      bool blas_launch_status =
          stream
              ->ThenBlasGemm(transpose, no_transpose, n, m, k, 1.0f, b_ptr, k,
                             a_ptr, k, 0.0f, &c_ptr, n)
              .ok();
      if (!blas_launch_status) {
        ctx->SetStatus(errors::Internal("Blas SGEMM launch failed : m=", m,
                                        ", n=", n, ", k=", k));
      }
      return;
    }
  
    const int64 common_padding_rows = std::min(padding_top, padding_bottom);
    const int64 common_padding_cols = std::min(padding_left, padding_right);
    TensorShape compatible_input_shape;
    if (padding_top != padding_bottom || padding_left != padding_right) {
      // Pad the input in the same way we did during the forward pass, so that
      // cuDNN or MIOpen receives the same input during the backward pass function
      // as it did during the forward pass function.
      const int64 padding_rows_diff = std::abs(padding_bottom - padding_top);
      const int64 padding_cols_diff = std::abs(padding_right - padding_left);
      const int64 new_in_rows =
          dims.spatial_dims[0].input_size + padding_rows_diff;
      const int64 new_in_cols =
          dims.spatial_dims[1].input_size + padding_cols_diff;
      compatible_input_shape = ShapeFromFormat(
          data_format, dims.batch_size, new_in_rows, new_in_cols, dims.in_depth);
    } else {
      compatible_input_shape = input_shape;
    }
  
    CHECK(common_padding_rows >= 0 && common_padding_cols >= 0)  // Crash OK
        << "Negative row or col paddings: (" << common_padding_rows << ", "
        << common_padding_cols << ")";
  
    // The Tensor Core in NVIDIA Volta+ GPUs supports efficient convolution with
    // fp16 in NHWC data layout. In all other configurations it's more efficient
    // to run computation in NCHW data format.
    const bool compute_in_nhwc =
        DataTypeToEnum<T>::value == DT_HALF && IsVoltaOrLater(*stream->parent());
  
    // We only do one directional conversion: NHWC->NCHW. We never convert in the
    // other direction. Grappler layout optimizer selects the preferred layout and
    // adds necessary annotations to the graph.
    const TensorFormat compute_data_format =
        (compute_in_nhwc && data_format == FORMAT_NHWC) ? FORMAT_NHWC
                                                        : FORMAT_NCHW;
  
    VLOG(3) << "Compute Conv2DBackpropInput with cuDNN:"
            << " data_format=" << ToString(data_format)
            << " compute_data_format=" << ToString(compute_data_format);
  
    constexpr auto kComputeInNHWC =
        std::make_tuple(se::dnn::DataLayout::kBatchYXDepth,
                        se::dnn::FilterLayout::kOutputYXInput);
    constexpr auto kComputeInNCHW =
        std::make_tuple(se::dnn::DataLayout::kBatchDepthYX,
                        se::dnn::FilterLayout::kOutputInputYX);
  
    se::dnn::DataLayout compute_data_layout;
    se::dnn::FilterLayout filter_layout;
  
    std::tie(compute_data_layout, filter_layout) =
        compute_data_format == FORMAT_NHWC ? kComputeInNHWC : kComputeInNCHW;
  
    se::dnn::BatchDescriptor input_desc;
    input_desc.set_count(dims.batch_size)
        .set_height(GetTensorDim(compatible_input_shape, data_format, 'H'))
        .set_width(GetTensorDim(compatible_input_shape, data_format, 'W'))
        .set_feature_map_count(dims.in_depth)
        .set_layout(compute_data_layout);
    se::dnn::BatchDescriptor output_desc;
    output_desc.set_count(dims.batch_size)
        .set_height(dims.spatial_dims[0].output_size)
        .set_width(dims.spatial_dims[1].output_size)
        .set_feature_map_count(dims.out_depth)
        .set_layout(compute_data_layout);
    se::dnn::FilterDescriptor filter_desc;
    filter_desc.set_input_filter_height(dims.spatial_dims[0].filter_size)
        .set_input_filter_width(dims.spatial_dims[1].filter_size)
        .set_input_feature_map_count(filter_shape.dim_size(2))
        .set_output_feature_map_count(filter_shape.dim_size(3))
        .set_layout(filter_layout);
    se::dnn::ConvolutionDescriptor conv_desc;
    conv_desc.set_vertical_dilation_rate(dims.spatial_dims[0].dilation)
        .set_horizontal_dilation_rate(dims.spatial_dims[1].dilation)
        .set_vertical_filter_stride(dims.spatial_dims[0].stride)
        .set_horizontal_filter_stride(dims.spatial_dims[1].stride)
        .set_zero_padding_height(common_padding_rows)
        .set_zero_padding_width(common_padding_cols)
        .set_group_count(dims.in_depth / filter_shape.dim_size(2));
  
    // Tensorflow filter format: HWIO
    // cuDNN filter formats: (data format) -> (filter format)
    //   (1) NCHW -> OIHW
    //   (2) NHWC -> OHWI
  
    Tensor transformed_filter;
    const auto transform_filter = [&](FilterTensorFormat dst_format) -> Status {
      VLOG(4) << "Transform filter tensor from " << ToString(FORMAT_HWIO)
              << " to " << ToString(dst_format);
  
      TensorShape dst_shape =
          dst_format == FORMAT_OIHW
              ? TensorShape({filter.dim_size(3), filter.dim_size(2),
                             filter.dim_size(0), filter.dim_size(1)})
              : TensorShape({filter.dim_size(3), filter.dim_size(0),
                             filter.dim_size(1), filter.dim_size(2)});
  
      TF_RETURN_IF_ERROR(ctx->allocate_temp(DataTypeToEnum<T>::value, dst_shape,
                                            &transformed_filter));
      functor::TransformFilter<GPUDevice, T, int, 4>()(
          ctx->eigen_device<GPUDevice>(), dst_format,
          To32Bit(filter.tensor<T, 4>()),
          To32Bit(transformed_filter.tensor<T, 4>()));
  
      return Status::OK();
    };
  
    if (compute_data_format == FORMAT_NCHW) {
      OP_REQUIRES_OK(ctx, transform_filter(FORMAT_OIHW));
    } else if (compute_data_format == FORMAT_NHWC) {
      OP_REQUIRES_OK(ctx, transform_filter(FORMAT_OHWI));
    } else {
      ctx->SetStatus(errors::InvalidArgument("Invalid compute data format: ",
                                             ToString(compute_data_format)));
      return;
    }
  
    Tensor transformed_out_backprop;
    if (data_format == FORMAT_NHWC && compute_data_format == FORMAT_NCHW) {
      VLOG(4) << "Convert the `out_backprop` tensor from NHWC to NCHW.";
      TensorShape compute_shape = ShapeFromFormat(
          compute_data_format, dims.batch_size, dims.spatial_dims[0].output_size,
          dims.spatial_dims[1].output_size, dims.out_depth);
      if (dims.out_depth > 1) {
        OP_REQUIRES_OK(ctx,
                       ctx->allocate_temp(DataTypeToEnum<T>::value, compute_shape,
                                          &transformed_out_backprop));
        functor::NHWCToNCHW<GPUDevice, T, 4>()(
            ctx->eigen_device<GPUDevice>(), out_backprop.tensor<T, 4>(),
            transformed_out_backprop.tensor<T, 4>());
      } else {
        // If depth <= 1, then just reshape.
        CHECK(transformed_out_backprop.CopyFrom(out_backprop, compute_shape));
      }
    } else {
      transformed_out_backprop = out_backprop;
    }
  
    Tensor pre_transformed_in_backprop;
    OP_REQUIRES_OK(
        ctx, ctx->allocate_temp(
                 DataTypeToEnum<T>::value,
                 ShapeFromFormat(
                     compute_data_format,
                     GetTensorDim(compatible_input_shape, data_format, 'N'),
                     GetTensorDim(compatible_input_shape, data_format, 'H'),
                     GetTensorDim(compatible_input_shape, data_format, 'W'),
                     GetTensorDim(compatible_input_shape, data_format, 'C')),
                 &pre_transformed_in_backprop));
  
    auto out_backprop_ptr =
        AsDeviceMemory(transformed_out_backprop.template flat<T>().data(),
                       transformed_out_backprop.template flat<T>().size());
    auto filter_ptr =
        AsDeviceMemory(transformed_filter.template flat<T>().data(),
                       transformed_filter.template flat<T>().size());
    auto in_backprop_ptr =
        AsDeviceMemory(pre_transformed_in_backprop.template flat<T>().data(),
                       pre_transformed_in_backprop.template flat<T>().size());
  
    static int64 ConvolveBackwardDataScratchSize = GetDnnWorkspaceLimit(
        "TF_CUDNN_WORKSPACE_LIMIT_IN_MB", 1LL << 32  // 4GB by default
    );
    DnnScratchAllocator scratch_allocator(ConvolveBackwardDataScratchSize, ctx);
    int device_id = stream->parent()->device_ordinal();
    DataType dtype = out_backprop.dtype();
    ConvParameters conv_parameters = {
        dims.batch_size,                     // batch
        dims.in_depth,                       // in_depths
        {{input_desc.height(),               // in_rows
          input_desc.width()}},              // in_cols
        compute_data_format,                 // compute_data_format
        dims.out_depth,                      // out_depths
        {{dims.spatial_dims[0].filter_size,  // filter_rows
          dims.spatial_dims[1].filter_size,  // filter_cols
          filter_shape.dim_size(2)}},        // filter_depths
        {{dims.spatial_dims[0].dilation,     // dilation_rows
          dims.spatial_dims[1].dilation}},   // dilation_cols
        {{dims.spatial_dims[0].stride,       // stride_rows
          dims.spatial_dims[1].stride}},     // stride_cols
        {{common_padding_rows,               // padding_rows
          common_padding_cols}},             // padding_cols
        dtype,                               // tensor data type
        device_id,                           // device_id
        conv_desc.group_count()              // group_count
    };
  #if TENSORFLOW_USE_ROCM
    // cudnn_use_autotune is applicable only the CUDA flow
    // for ROCm/MIOpen, we need to call GetMIOpenConvolveAlgorithms explicitly
    // if we do not have a cached algorithm_config for this conv_parameters
    cudnn_use_autotune = true;
  #endif
    AlgorithmConfig algorithm_config;
    if (cudnn_use_autotune && !AutoTuneConvBwdData::GetInstance()->Find(
                                  conv_parameters, &algorithm_config)) {
  #if GOOGLE_CUDA
  
      se::TfAllocatorAdapter tf_allocator_adapter(ctx->device()->GetAllocator({}),
                                                  stream);
  
      se::RedzoneAllocator rz_allocator(stream, &tf_allocator_adapter,
                                        se::GpuAsmOpts());
  
      se::DeviceMemory<T> in_backprop_ptr_rz(
          WrapRedzoneBestEffort(&rz_allocator, in_backprop_ptr));
  
      std::vector<AlgorithmDesc> algorithms;
      CHECK(stream->parent()->GetConvolveBackwardDataAlgorithms(
          conv_parameters.ShouldIncludeWinogradNonfusedAlgo<T>(stream->parent()),
          &algorithms));
      std::vector<tensorflow::AutotuneResult> results;
      for (auto profile_algorithm : algorithms) {
        // TODO(zhengxq): profile each algorithm multiple times to better
        // accuracy.
        DnnScratchAllocator scratch_allocator(ConvolveBackwardDataScratchSize,
                                              ctx);
        se::RedzoneAllocator rz_scratch_allocator(
            stream, &tf_allocator_adapter, se::GpuAsmOpts(),
            /*memory_limit=*/ConvolveBackwardDataScratchSize);
        se::ScratchAllocator* allocator_used =
            !RedzoneCheckDisabled()
                ? static_cast<se::ScratchAllocator*>(&rz_scratch_allocator)
                : static_cast<se::ScratchAllocator*>(&scratch_allocator);
        ProfileResult profile_result;
        bool cudnn_launch_status =
            stream
                ->ThenConvolveBackwardDataWithAlgorithm(
                    filter_desc, filter_ptr, output_desc, out_backprop_ptr,
                    conv_desc, input_desc, &in_backprop_ptr_rz, allocator_used,
                    AlgorithmConfig(profile_algorithm), &profile_result)
                .ok();
        if (cudnn_launch_status && profile_result.is_valid()) {
          results.emplace_back();
          auto& result = results.back();
          result.mutable_conv()->set_algorithm(profile_algorithm.algo_id());
          result.mutable_conv()->set_tensor_ops_enabled(
              profile_algorithm.tensor_ops_enabled());
          result.set_scratch_bytes(
              !RedzoneCheckDisabled()
                  ? rz_scratch_allocator.TotalAllocatedBytesExcludingRedzones()
                  : scratch_allocator.TotalByteSize());
          *result.mutable_run_time() = proto_utils::ToDurationProto(
              absl::Milliseconds(profile_result.elapsed_time_in_ms()));
  
          CheckRedzones(rz_scratch_allocator, &result);
          CheckRedzones(rz_allocator, &result);
        }
      }
  #elif TENSORFLOW_USE_ROCM
      std::vector<ProfileResult> algorithms;
      OP_REQUIRES(ctx,
                  stream->parent()->GetMIOpenConvolveAlgorithms(
                      se::dnn::ConvolutionKind::BACKWARD_DATA, stream,
                      se::dnn::ToDataType<T>::value, input_desc, filter_desc,
                      conv_desc, output_desc, &algorithms),
                  errors::Unknown(
                      "Failed to get convolution algorithm. This is probably "
                      "because MIOpen failed to initialize, so try looking to "
                      "see if a warning log message was printed above."));
  
      std::vector<tensorflow::AutotuneResult> results;
      if (algorithms.size() == 1) {
        auto profile_result = algorithms[0];
        results.emplace_back();
        auto& result = results.back();
        result.mutable_conv()->set_algorithm(
            profile_result.algorithm().algo_id());
        result.mutable_conv()->set_tensor_ops_enabled(
            profile_result.algorithm().tensor_ops_enabled());
  
        result.set_scratch_bytes(profile_result.scratch_size());
        *result.mutable_run_time() = proto_utils::ToDurationProto(
            absl::Milliseconds(profile_result.elapsed_time_in_ms()));
      } else {
        for (auto miopen_algorithm : algorithms) {
          auto profile_algorithm = miopen_algorithm.algorithm();
          DnnScratchAllocator scratch_allocator(ConvolveBackwardDataScratchSize,
                                                ctx);
          ProfileResult profile_result;
          bool miopen_launch_status = true;
          miopen_launch_status =
              stream
                  ->ThenConvolveBackwardDataWithAlgorithm(
                      filter_desc, filter_ptr, output_desc, out_backprop_ptr,
                      conv_desc, input_desc, &in_backprop_ptr, &scratch_allocator,
                      AlgorithmConfig(profile_algorithm), &profile_result)
                  .ok();
  
          if (miopen_launch_status && profile_result.is_valid()) {
            results.emplace_back();
            auto& result = results.back();
            result.mutable_conv()->set_algorithm(profile_algorithm.algo_id());
            result.mutable_conv()->set_tensor_ops_enabled(
                profile_algorithm.tensor_ops_enabled());
            result.set_scratch_bytes(scratch_allocator.TotalByteSize());
            *result.mutable_run_time() = proto_utils::ToDurationProto(
                absl::Milliseconds(profile_result.elapsed_time_in_ms()));
          }
        }
      }
  #endif
      LogConvAutotuneResults(
          se::dnn::ConvolutionKind::BACKWARD_DATA, se::dnn::ToDataType<T>::value,
          in_backprop_ptr, filter_ptr, out_backprop_ptr, input_desc, filter_desc,
          output_desc, conv_desc, stream->parent(), results);
      OP_REQUIRES_OK(ctx, BestCudnnConvAlgorithm(results, &algorithm_config));
      AutoTuneConvBwdData::GetInstance()->Insert(conv_parameters,
                                                 algorithm_config);
    }
    bool cudnn_launch_status =
        stream
            ->ThenConvolveBackwardDataWithAlgorithm(
                filter_desc, filter_ptr, output_desc, out_backprop_ptr, conv_desc,
                input_desc, &in_backprop_ptr, &scratch_allocator,
                algorithm_config, nullptr)
            .ok();
  
    if (!cudnn_launch_status) {
      ctx->SetStatus(errors::Internal(
          "DNN Backward Data function launch failure : input shape(",
          input_shape.DebugString(), ") filter shape(",
          filter_shape.DebugString(), ")"));
      return;
    }
  
    if (padding_top != padding_bottom || padding_left != padding_right) {
      Tensor in_backprop_remove_padding;
      OP_REQUIRES_OK(
          ctx, ctx->allocate_temp(
                   DataTypeToEnum<T>::value,
                   ShapeFromFormat(compute_data_format,
                                   GetTensorDim(input_shape, data_format, 'N'),
                                   GetTensorDim(input_shape, data_format, 'H'),
                                   GetTensorDim(input_shape, data_format, 'W'),
                                   GetTensorDim(input_shape, data_format, 'C')),
                   &in_backprop_remove_padding));
  
      // Remove the padding that was added to the input shape above.
      const int64 input_pad_top = padding_top - common_padding_rows;
      const int64 input_pad_bottom = padding_bottom - common_padding_rows;
      const int64 input_pad_left = padding_left - common_padding_cols;
      const int64 input_pad_right = padding_right - common_padding_cols;
      functor::PadInput<GPUDevice, T, int, 4>()(
          ctx->template eigen_device<GPUDevice>(),
          To32Bit(const_cast<const Tensor&>(pre_transformed_in_backprop)
                      .tensor<T, 4>()),
          {{static_cast<int>(-input_pad_top), static_cast<int>(-input_pad_left)}},
          {{static_cast<int>(-input_pad_bottom),
            static_cast<int>(-input_pad_right)}},
          To32Bit(in_backprop_remove_padding.tensor<T, 4>()),
          compute_data_format);
  
      pre_transformed_in_backprop = in_backprop_remove_padding;
    }
  
    if (data_format == FORMAT_NHWC && compute_data_format == FORMAT_NCHW) {
      VLOG(4) << "Convert the output tensor back from NCHW to NHWC.";
      auto toConstTensor = [](const Tensor& x) -> const Tensor { return x; };
      functor::NCHWToNHWC<GPUDevice, T, 4>()(
          ctx->eigen_device<GPUDevice>(),
          toConstTensor(pre_transformed_in_backprop).template tensor<T, 4>(),
          in_backprop->tensor<T, 4>());
    } else {
      *in_backprop = pre_transformed_in_backprop;
    }
  }
  
  // Forward declarations of the functor specializations for GPU.
  namespace functor {
  #define DECLARE_GPU_SPEC(T)                                              \
    template <>                                                            \
    void TransformFilter<GPUDevice, T, int, 4>::operator()(                \
        const GPUDevice& d, FilterTensorFormat dst_filter_format,          \
        typename TTypes<T, 4, int>::ConstTensor in,                        \
        typename TTypes<T, 4, int>::Tensor out);                           \
    extern template struct TransformFilter<GPUDevice, T, int, 4>;          \
    template <>                                                            \
    void PadInput<GPUDevice, T, int, 4>::operator()(                       \
        const GPUDevice& d, typename TTypes<T, 4, int>::ConstTensor in,    \
        const std::array<int, 2>& padding_left,                            \
        const std::array<int, 2>& padding_right,                           \
        typename TTypes<T, 4, int>::Tensor out, TensorFormat data_format); \
    extern template struct PadInput<GPUDevice, T, int, 4>;
  
  DECLARE_GPU_SPEC(float);
  DECLARE_GPU_SPEC(Eigen::half);
  DECLARE_GPU_SPEC(double);
  #undef DECLARE_GPU_SPEC
  
  template <>
  void SpatialConvolutionBackwardInputFunc<GPUDevice, int32>::operator()(
      const GPUDevice&, typename TTypes<int32, 4>::Tensor,
      typename TTypes<int32, 4>::ConstTensor,
      typename TTypes<int32, 4>::ConstTensor, Eigen::DenseIndex,
      Eigen::DenseIndex, Eigen::DenseIndex, Eigen::DenseIndex);
  extern template struct SpatialConvolutionBackwardInputFunc<GPUDevice, int32>;
  
  template <>
  void SpatialConvolutionBackwardInputWithExplicitPaddingFunc<
      GPUDevice, int32>::operator()(const GPUDevice&,
                                    typename TTypes<int32, 4>::Tensor,
                                    typename TTypes<int32, 4>::ConstTensor,
                                    typename TTypes<int32, 4>::ConstTensor,
                                    Eigen::DenseIndex, Eigen::DenseIndex,
                                    Eigen::DenseIndex, Eigen::DenseIndex,
                                    Eigen::DenseIndex, Eigen::DenseIndex,
                                    Eigen::DenseIndex, Eigen::DenseIndex);
  extern template struct SpatialConvolutionBackwardInputWithExplicitPaddingFunc<
      GPUDevice, int32>;
  
  }  // namespace functor
  
  REGISTER_KERNEL_BUILDER(Name("Conv2DBackpropInput")
                              .Device(DEVICE_GPU)
                              .TypeConstraint<double>("T")
                              .HostMemory("input_sizes"),
                          Conv2DBackpropInputOp<GPUDevice, double>);
  REGISTER_KERNEL_BUILDER(Name("Conv2DBackpropInput")
                              .Device(DEVICE_GPU)
                              .TypeConstraint<float>("T")
                              .HostMemory("input_sizes"),
                          Conv2DBackpropInputOp<GPUDevice, float>);
  REGISTER_KERNEL_BUILDER(Name("Conv2DBackpropInput")
                              .Device(DEVICE_GPU)
                              .TypeConstraint<Eigen::half>("T")
                              .HostMemory("input_sizes"),
                          Conv2DBackpropInputOp<GPUDevice, Eigen::half>);
  REGISTER_KERNEL_BUILDER(Name("Conv2DBackpropInput")
                              .Device(DEVICE_GPU)
                              .TypeConstraint<int32>("T")
                              .HostMemory("input_sizes"),
                          Conv2DBackpropInputOp<GPUDevice, int32>);
  
  // To be used inside depthwise_conv_grad_op.cc.
  // TODO(reedwm): Move this and the definition to depthwise_conv_grad_op.cc.
  template struct LaunchConv2DBackpropInputOp<GPUDevice, float>;
  template struct LaunchConv2DBackpropInputOp<GPUDevice, Eigen::half>;
  template struct LaunchConv2DBackpropInputOp<GPUDevice, double>;
  
  #endif  // GOOGLE_CUDA || TENSORFLOW_USE_ROCM
  
  }  // namespace tensorflow
  