Tensor3_times_Tensor1.hpp

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/* Declarations for expressions like Tensor3*Tensor1 -> Tensor2 */
 
#pragma once
 
namespace FTensor
{
  /* A(i,j,k)*B(j) -> Tensor2 */
 
  template <class A, class B, class T, class U, int Dim0, int Dim1, int Dim2,
            char i, char j, char k>
  class Tensor3_times_Tensor1_1
  {
    Tensor3_Expr<A, T, Dim0, Dim1, Dim2, i, j, k> iterA;
    Tensor1_Expr<B, U, Dim1, j> iterB;
 
    template <int Current_Dim>
    typename promote<T, U>::V
    eval(const int N1, const int N2, const Number<Current_Dim> &) const
    {
      return iterA(N1, Current_Dim - 1, N2) * iterB(Current_Dim - 1)
             + eval(N1, N2, Number<Current_Dim - 1>());
    }
    typename promote<T, U>::V
    eval(const int N1, const int N2, const Number<1> &) const
    {
      return iterA(N1, 0, N2) * iterB(0);
    }
 
  public:
    Tensor3_times_Tensor1_1(
      const Tensor3_Expr<A, T, Dim0, Dim1, Dim2, i, j, k> &a,
      const Tensor1_Expr<B, U, Dim1, j> &b)
        : iterA(a), iterB(b)
    {}
    typename promote<T, U>::V operator()(const int N1, const int N2) const
    {
      return eval(N1, N2, Number<Dim1>());
    }
  };
 
  template <class A, class B, class T, class U, int Dim0, int Dim1, int Dim2,
            char i, char j, char k>
  Tensor2_Expr<Tensor3_times_Tensor1_1<A, B, T, U, Dim0, Dim1, Dim2, i, j, k>,
               typename promote<T, U>::V, Dim0, Dim2, i, k>
  operator*(const Tensor3_Expr<A, T, Dim0, Dim1, Dim2, i, j, k> &a,
            const Tensor1_Expr<B, U, Dim1, j> &b)
  {
    using TensorExpr
      = Tensor3_times_Tensor1_1<A, B, T, U, Dim0, Dim1, Dim2, i, j, k>;
    return Tensor2_Expr<TensorExpr, typename promote<T, U>::V, Dim0, Dim2, i,
                        k>(TensorExpr(a, b));
  }
 
  /* B(j)*A(i,j,k) -> Tensor2 */
 
  template <class A, class B, class T, class U, int Dim0, int Dim1, int Dim2,
            char i, char j, char k>
  Tensor2_Expr<Tensor3_times_Tensor1_1<A, B, T, U, Dim0, Dim1, Dim2, i, j, k>,
               typename promote<T, U>::V, Dim0, Dim2, i, k>
  operator*(const Tensor1_Expr<B, U, Dim1, j> &b,
            const Tensor3_Expr<A, T, Dim0, Dim1, Dim2, i, j, k> &a)
  {
    using TensorExpr
      = Tensor3_times_Tensor1_1<A, B, T, U, Dim0, Dim1, Dim2, i, j, k>;
    return Tensor2_Expr<TensorExpr, typename promote<T, U>::V, Dim0, Dim2, i,
                        k>(TensorExpr(a, b));
  }
 
  /* A(i,j,k)*B(i) -> Tensor2 */
 
  template <class A, class B, class T, class U, int Dim0, int Dim1, int Dim2,
            char i, char j, char k>
  class Tensor3_times_Tensor1_0
  {
    Tensor3_Expr<A, T, Dim0, Dim1, Dim2, i, j, k> iterA;
    Tensor1_Expr<B, U, Dim0, i> iterB;
 
    template <int Current_Dim>
    typename promote<T, U>::V
    eval(const int N1, const int N2, const Number<Current_Dim> &) const
    {
      return iterA(Current_Dim - 1, N1, N2) * iterB(Current_Dim - 1)
             + eval(N1, N2, Number<Current_Dim - 1>());
    }
    typename promote<T, U>::V
    eval(const int N1, const int N2, const Number<1> &) const
    {
      return iterA(0, N1, N2) * iterB(0);
    }
 
  public:
    Tensor3_times_Tensor1_0(
      const Tensor3_Expr<A, T, Dim0, Dim1, Dim2, i, j, k> &a,
      const Tensor1_Expr<B, U, Dim0, i> &b)
        : iterA(a), iterB(b)
    {}
    typename promote<T, U>::V operator()(const int N1, const int N2) const
    {
      return eval(N1, N2, Number<Dim0>());
    }
  };
 
  template <class A, class B, class T, class U, int Dim0, int Dim1, int Dim2,
            char i, char j, char k>
  Tensor2_Expr<Tensor3_times_Tensor1_0<A, B, T, U, Dim0, Dim1, Dim2, i, j, k>,
               typename promote<T, U>::V, Dim1, Dim2, j, k>
  operator*(const Tensor3_Expr<A, T, Dim0, Dim1, Dim2, i, j, k> &a,
            const Tensor1_Expr<B, U, Dim0, i> &b)
  {
    using TensorExpr
      = Tensor3_times_Tensor1_0<A, B, T, U, Dim0, Dim1, Dim2, i, j, k>;
    return Tensor2_Expr<TensorExpr, typename promote<T, U>::V, Dim1, Dim2, j,
                        k>(TensorExpr(a, b));
  }
 
  /* B(i)*A(i,j,k) -> Tensor2 */
 
  template <class A, class B, class T, class U, int Dim0, int Dim1, int Dim2,
            char i, char j, char k>
  Tensor2_Expr<Tensor3_times_Tensor1_0<A, B, T, U, Dim0, Dim1, Dim2, i, j, k>,
               typename promote<T, U>::V, Dim1, Dim2, j, k>
  operator*(const Tensor1_Expr<B, U, Dim0, i> &b,
            const Tensor3_Expr<A, T, Dim0, Dim1, Dim2, i, j, k> &a)
  {
    using TensorExpr
      = Tensor3_times_Tensor1_0<A, B, T, U, Dim0, Dim1, Dim2, i, j, k>;
    return Tensor2_Expr<TensorExpr, typename promote<T, U>::V, Dim1, Dim2, j,
                        k>(TensorExpr(a, b));
  }
 
  /* A(i,j,k)*B(k) -> Tensor2 */
 
  template <class A, class B, class T, class U, int Dim0, int Dim1, int Dim2,
            char i, char j, char k>
  class Tensor3_times_Tensor1_2
  {
    Tensor3_Expr<A, T, Dim0, Dim1, Dim2, i, j, k> iterA;
    Tensor1_Expr<B, U, Dim2, k> iterB;
 
    template <int CurrentDim>
    typename promote<T, U>::V
    eval(const int N1, const int N2, const Number<CurrentDim> &) const
    {
      return iterA(N1, N2, CurrentDim - 1) * iterB(CurrentDim - 1)
             + eval(N1, N2, Number<CurrentDim - 1>());
    };
    typename promote<T, U>::V
    eval(const int N1, const int N2, const Number<1> &) const
    {
      return iterA(N1, N2, 0) * iterB(0);
    };
 
  public:
    Tensor3_times_Tensor1_2(
        const Tensor3_Expr<A, T, Dim0, Dim1, Dim2, i, j, k> &a,
        const Tensor1_Expr<B, U, Dim2, k> &b)
        : iterA(a), iterB(b)
    {}
    typename promote<T, U>::V operator()(const int N1, const int N2) const
    {
      return eval(N1, N2, Number<Dim2>());
    }
  };
 
  template <class A, class B, class T, class U, int Dim0, int Dim1, int Dim2,
            char i, char j, char k>
  Tensor2_Expr<Tensor3_times_Tensor1_2<A, B, T, U, Dim0, Dim1, Dim2, i, j, k>,
               typename promote<T, U>::V, Dim0, Dim1, i, j>
  operator*(const Tensor3_Expr<A, T, Dim0, Dim1, Dim2, i, j, k> &a,
            const Tensor1_Expr<B, U, Dim2, k> &b)
  {
    using TensorExpr
      = Tensor3_times_Tensor1_2<A, B, T, U, Dim0, Dim1, Dim2, i, j, k>;
    return Tensor2_Expr<TensorExpr, typename promote<T, U>::V, Dim0, Dim1, i,
                        j>(TensorExpr(a, b));
  };
 
  /* A(i,j,k)*B(k) -> Tensor2 */
 
  template <class A, class B, class T, class U, int Dim0, int Dim1, int Dim2,
            char i, char j, char k>
  Tensor2_Expr<Tensor3_times_Tensor1_2<A, B, T, U, Dim0, Dim1, Dim2, i, j, k>,
               typename promote<T, U>::V, Dim0, Dim1, i, j>
  operator*(const Tensor1_Expr<B, U, Dim2, k> &b,
            const Tensor3_Expr<A, T, Dim0, Dim1, Dim2, i, j, k> &a)
  {
    using TensorExpr
      = Tensor3_times_Tensor1_2<A, B, T, U, Dim0, Dim1, Dim2, i, j, k>;
    return Tensor2_Expr<TensorExpr, typename promote<T, U>::V, Dim0, Dim1, i,
                        j>(TensorExpr(a, b));
  };
}