[cherry-pick]CPU forward calculation replaces Eigen with Lapack (#35916) (#36091)

cherry-pick #35916，CPU前向计算将Eigen替换为Lapack，修改linalg暴露规则

Author: Zjq9409

paddle/fluid/operators/eigh_op.cc

@@ -147,18 +147,17 @@ REGISTER_OPERATOR(eigh, ops::EighOp, ops::EignOpMaker,
 REGISTER_OPERATOR(eigh_grad, ops::EighGradOp);
 
 REGISTER_OP_CPU_KERNEL(
-    eigh, ops::EighKernel<paddle::platform::CPUDeviceContext, float, float>,
-    ops::EighKernel<paddle::platform::CPUDeviceContext, double, double>,
-    ops::EighKernel<paddle::platform::CPUDeviceContext, float,
+    eigh, ops::EighKernel<paddle::platform::CPUDeviceContext, float>,
+    ops::EighKernel<paddle::platform::CPUDeviceContext, double>,
+    ops::EighKernel<paddle::platform::CPUDeviceContext,
                     paddle::platform::complex<float>>,
-    ops::EighKernel<paddle::platform::CPUDeviceContext, double,
+    ops::EighKernel<paddle::platform::CPUDeviceContext,
                     paddle::platform::complex<double>>);
 
 REGISTER_OP_CPU_KERNEL(
-    eigh_grad,
-    ops::EighGradKernel<paddle::platform::CPUDeviceContext, float, float>,
-    ops::EighGradKernel<paddle::platform::CPUDeviceContext, double, double>,
-    ops::EighGradKernel<paddle::platform::CPUDeviceContext, float,
+    eigh_grad, ops::EighGradKernel<paddle::platform::CPUDeviceContext, float>,
+    ops::EighGradKernel<paddle::platform::CPUDeviceContext, double>,
+    ops::EighGradKernel<paddle::platform::CPUDeviceContext,
                         paddle::platform::complex<float>>,
-    ops::EighGradKernel<paddle::platform::CPUDeviceContext, double,
+    ops::EighGradKernel<paddle::platform::CPUDeviceContext,
                         paddle::platform::complex<double>>);

paddle/fluid/operators/eigh_op.cu

@@ -16,18 +16,17 @@ limitations under the License. */
 
 namespace ops = paddle::operators;
 REGISTER_OP_CUDA_KERNEL(
-    eigh, ops::EighKernel<paddle::platform::CUDADeviceContext, float, float>,
-    ops::EighKernel<paddle::platform::CUDADeviceContext, double, double>,
-    ops::EighKernel<paddle::platform::CUDADeviceContext, float,
+    eigh, ops::EighKernel<paddle::platform::CUDADeviceContext, float>,
+    ops::EighKernel<paddle::platform::CUDADeviceContext, double>,
+    ops::EighKernel<paddle::platform::CUDADeviceContext,
                     paddle::platform::complex<float>>,
-    ops::EighKernel<paddle::platform::CUDADeviceContext, double,
+    ops::EighKernel<paddle::platform::CUDADeviceContext,
                     paddle::platform::complex<double>>);
 
 REGISTER_OP_CUDA_KERNEL(
-    eigh_grad,
-    ops::EighGradKernel<paddle::platform::CUDADeviceContext, float, float>,
-    ops::EighGradKernel<paddle::platform::CUDADeviceContext, double, double>,
-    ops::EighGradKernel<paddle::platform::CUDADeviceContext, float,
+    eigh_grad, ops::EighGradKernel<paddle::platform::CUDADeviceContext, float>,
+    ops::EighGradKernel<paddle::platform::CUDADeviceContext, double>,
+    ops::EighGradKernel<paddle::platform::CUDADeviceContext,
                         paddle::platform::complex<float>>,
-    ops::EighGradKernel<paddle::platform::CUDADeviceContext, double,
+    ops::EighGradKernel<paddle::platform::CUDADeviceContext,
                         paddle::platform::complex<double>>);

paddle/fluid/operators/eigh_op.h

@@ -22,7 +22,7 @@ namespace operators {
 
 using Tensor = framework::Tensor;
 
-template <typename DeviceContext, typename ValueType, typename T>
+template <typename DeviceContext, typename T>
 class EighKernel : public framework::OpKernel<T> {
  public:
   void Compute(const framework::ExecutionContext& ctx) const override {
@@ -31,15 +31,16 @@ class EighKernel : public framework::OpKernel<T> {
     auto output_v = ctx.Output<Tensor>("Eigenvectors");
     std::string lower = ctx.Attr<std::string>("UPLO");
     bool is_lower = (lower == "L");
-    math::MatrixEighFunctor<DeviceContext, ValueType, T> functor;
+    math::MatrixEighFunctor<DeviceContext, T> functor;
     functor(ctx, *input, output_w, output_v, is_lower, true);
   }
 };
 
-template <typename DeviceContext, typename ValueType, typename T>
+template <typename DeviceContext, typename T>
 class EighGradKernel : public framework::OpKernel<T> {
  public:
   void Compute(const framework::ExecutionContext& ctx) const override {
+    using ValueType = math::Real<T>;
     auto& x_grad = *ctx.Output<framework::Tensor>(framework::GradVarName("X"));
     x_grad.mutable_data<T>(ctx.GetPlace());
     auto& output_w = *ctx.Input<Tensor>("Eigenvalues");