text: /* Copyright (c) 2018 PaddlePaddle 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. */
  
  #include <memory>
  #include <string>
  #include <unordered_map>
  #include <vector>
  
  #include "paddle/fluid/operators/kron_op.h"
  #include "paddle/fluid/platform/complex.h"
  #include "paddle/fluid/platform/float16.h"
  
  namespace paddle {
  namespace operators {
  
  class KronOp : public framework::OperatorWithKernel {
   public:
    using framework::OperatorWithKernel::OperatorWithKernel;
  
    void InferShape(framework::InferShapeContext* ctx) const override {
      OP_INOUT_CHECK(ctx->HasInput("X"), "Input", "X", "kron");
      OP_INOUT_CHECK(ctx->HasInput("Y"), "Input", "Y", "kron");
      OP_INOUT_CHECK(ctx->HasOutput("Out"), "Output", "Out", "kron");
  
      auto dim_x = ctx->GetInputDim("X");
      auto dim_y = ctx->GetInputDim("Y");
      auto rank_x = dim_x.size();
      auto rank_y = dim_y.size();
      auto rank = (rank_x > rank_y) ? rank_x : rank_y;
  
      std::vector<int64_t> dim_out;
      dim_out.reserve(rank);
      for (int i = 0; i < rank; i++) {
        int64_t dim_xi = (i < rank - rank_x) ? 1 : dim_x.at(i - (rank - rank_x));
        int64_t dim_yi = (i < rank - rank_y) ? 1 : dim_y.at(i - (rank - rank_y));
        dim_out.push_back(dim_xi == -1 || dim_yi == -1 ? -1 : dim_xi * dim_yi);
      }
      ctx->SetOutputDim("Out", pten::make_ddim(dim_out));
    }
  
   protected:
    framework::OpKernelType GetExpectedKernelType(
        const framework::ExecutionContext& ctx) const override {
      auto data_type =
          OperatorWithKernel::IndicateOrPromoteVarDataTypes(ctx, "X", "Y");
      return framework::OpKernelType(data_type, ctx.GetPlace());
    }
  
    framework::OpKernelType GetKernelTypeForVar(
        const std::string& var_name, const framework::Tensor& tensor,
        const framework::OpKernelType& expected_kernel_type) const {
      if (framework::IsComplexType(expected_kernel_type.data_type_)) {
        // only promote inputs’s types when contains complex input
        return framework::OpKernelType(
            framework::TransToProtoVarType(tensor.dtype()), tensor.place(),
            tensor.layout());
      } else {
        return framework::OpKernelType(expected_kernel_type.data_type_,
                                       tensor.place(), tensor.layout());
      }
    }
  };
  
  class KronOpMaker : public framework::OpProtoAndCheckerMaker {
   public:
    void Make() override {
      AddInput("X", "(Tensor), the first operand of kron op");
      AddInput("Y", "(Tensor), the second operand of kron op");
      AddOutput("Out", "(Tensor), the output of kron op.");
      AddComment(R"DOC(
            Kron Operator.
  
            This operator computes the Kronecker product of two tensors, a
            composite tensor made of blocks of the second tensor scaled by the 
            first.
  
            This operator assumes that the rank of the two tensors, $X$ and $Y$
            are the same, if necessary prepending the smallest with ones. If the 
            shape of $X$ is [$r_0$, $r_1$, ..., $r_N$] and the shape of $Y$ is 
            [$s_0$, $s_1$, ..., $s_N$], then the shape of the output tensor is 
            [$r_{0}s_{0}$, $r_{1}s_{1}$, ..., $r_{N}s_{N}$]. The elements are 
            products of elements from $X$ and $Y$.
  
            The equation is:
            $$
            output[k_{0}, k_{1}, ..., k_{N}] = X[i_{0}, i_{1}, ..., i_{N}] *
            Y[j_{0}, j_{1}, ..., j_{N}]
            $$
  
            where
            $$
            k_{t} = i_{t} * s_{t} + j_{t}, t = 0, 1, ..., N
            $$
          )DOC");
    }
  };
  
  class KronGradOp : public framework::OperatorWithKernel {
   public:
    using framework::OperatorWithKernel::OperatorWithKernel;
  
    void InferShape(framework::InferShapeContext* ctx) const override {
      OP_INOUT_CHECK(ctx->HasInput("X"), "Input", "X", "kron_grad");
      OP_INOUT_CHECK(ctx->HasInput("Y"), "Input", "Y", "kron_grad");
      OP_INOUT_CHECK(ctx->HasInput(framework::GradVarName("Out")), "Input",
                     framework::GradVarName("Out"), "kron_grad");
  
      auto x_grad_name = framework::GradVarName("X");
      auto y_grad_name = framework::GradVarName("Y");
      if (ctx->HasOutput(x_grad_name)) {
        ctx->SetOutputDim(x_grad_name, ctx->GetInputDim("X"));
      }
      if (ctx->HasOutput(y_grad_name)) {
        ctx->SetOutputDim(y_grad_name, ctx->GetInputDim("Y"));
      }
    }
  
   protected:
    framework::OpKernelType GetExpectedKernelType(
        const framework::ExecutionContext& ctx) const override {
      auto out_grad_name = framework::GradVarName("Out");
      return framework::OpKernelType(
          OperatorWithKernel::IndicateVarDataType(ctx, out_grad_name),
          ctx.GetPlace());
    }
  
    framework::OpKernelType GetKernelTypeForVar(
        const std::string& var_name, const framework::Tensor& tensor,
        const framework::OpKernelType& expected_kernel_type) const {
      if (framework::IsComplexType(expected_kernel_type.data_type_)) {
        // only promote inputs’s types when contains complex input
        return framework::OpKernelType(
            framework::TransToProtoVarType(tensor.dtype()), tensor.place(),
            tensor.layout());
      } else {
        return framework::OpKernelType(expected_kernel_type.data_type_,
                                       tensor.place(), tensor.layout());
      }
    }
  };
  
  template <typename T>
  class KronGradOpMaker : public framework::SingleGradOpMaker<T> {
   public:
    using framework::SingleGradOpMaker<T>::SingleGradOpMaker;
  
   protected:
    void Apply(GradOpPtr<T> grad_op) const override {
      grad_op->SetType("kron_grad");
  
      grad_op->SetInput("X", this->Input("X"));
      grad_op->SetInput("Y", this->Input("Y"));
      grad_op->SetInput(framework::GradVarName("Out"), this->OutputGrad("Out"));
  
      grad_op->SetOutput(framework::GradVarName("X"), this->InputGrad("X"));
      grad_op->SetOutput(framework::GradVarName("Y"), this->InputGrad("Y"));
  
      grad_op->SetAttrMap(this->Attrs());
    }
  };
  
  }  // namespace operators
  }  // namespace paddle
  
  namespace ops = paddle::operators;
  
  REGISTER_OPERATOR(kron, ops::KronOp, ops::KronOpMaker,
                    ops::KronGradOpMaker<paddle::framework::OpDesc>,
                    ops::KronGradOpMaker<paddle::imperative::OpBase>);
  REGISTER_OP_CPU_KERNEL(
      kron, ops::KronKernel<paddle::platform::CPUDeviceContext, float>,
      ops::KronKernel<paddle::platform::CPUDeviceContext, double>,
      ops::KronKernel<paddle::platform::CPUDeviceContext,
                      paddle::platform::float16>,
      ops::KronKernel<paddle::platform::CPUDeviceContext, int>,
      ops::KronKernel<paddle::platform::CPUDeviceContext, int64_t>,
      ops::KronKernel<paddle::platform::CPUDeviceContext,
                      paddle::platform::complex<float>>,
      ops::KronKernel<paddle::platform::CPUDeviceContext,
                      paddle::platform::complex<double>>);
  
  REGISTER_OPERATOR(kron_grad, ops::KronGradOp);
  REGISTER_OP_CPU_KERNEL(
      kron_grad, ops::KronGradKernel<paddle::platform::CPUDeviceContext, float>,
      ops::KronGradKernel<paddle::platform::CPUDeviceContext, double>,
      ops::KronGradKernel<paddle::platform::CPUDeviceContext,
                          paddle::platform::float16>,
      ops::KronGradKernel<paddle::platform::CPUDeviceContext, int>,
      ops::KronGradKernel<paddle::platform::CPUDeviceContext, int64_t>,
      ops::KronGradKernel<paddle::platform::CPUDeviceContext,
                          paddle::platform::complex<float>>,
      ops::KronGradKernel<paddle::platform::CPUDeviceContext,
                          paddle::platform::complex<double>>);
  