Tensor2_symmetric_times_Tensor1.hpp

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/* This file has all of the declarations for expressions like
   Tensor2_symmetric*Tensor1 and Tensor1*Tensor2_symmetric, yielding a
   Tensor1 or Dg. */
 
#pragma once
 
namespace FTensor
{
  /* A(i,j)*B(j) -> Tensor1 */
 
  template <class A, class B, class T, class U, int Dim, char i, char j>
  class Tensor2_symmetric_times_Tensor1_1
  {
    Tensor2_symmetric_Expr<A, T, Dim, i, j> iterA;
    Tensor1_Expr<B, U, Dim, j> iterB;
 
    template <int Current_Dim>
    typename promote<T, U>::V
    eval(const int N1, const Number<Current_Dim> &) const
    {
      return iterA(N1, Current_Dim - 1) * iterB(Current_Dim - 1)
             + eval(N1, Number<Current_Dim - 1>());
    }
    typename promote<T, U>::V eval(const int N1, const Number<1> &) const
    {
      return iterA(N1, 0) * iterB(0);
    }
 
  public:
    Tensor2_symmetric_times_Tensor1_1(
      const Tensor2_symmetric_Expr<A, T, Dim, i, j> &a,
      const Tensor1_Expr<B, U, Dim, j> &b)
        : iterA(a), iterB(b)
    {}
    typename promote<T, U>::V operator()(const int N1) const
    {
      return eval(N1, Number<Dim>());
    }
  };
 
  template <class A, class B, class T, class U, int Dim, char i, char j>
  Tensor1_Expr<Tensor2_symmetric_times_Tensor1_1<A, B, T, U, Dim, i, j>,
               typename promote<T, U>::V, Dim, i>
  operator*(const Tensor2_symmetric_Expr<A, T, Dim, i, j> &a,
            const Tensor1_Expr<B, U, Dim, j> &b)
  {
    using TensorExpr
      = Tensor2_symmetric_times_Tensor1_1<A, B, T, U, Dim, i, j>;
    return Tensor1_Expr<TensorExpr, typename promote<T, U>::V, Dim, i>(
      TensorExpr(a, b));
  }
 
  /* A(j,i)*B(j) -> Tensor1 */
 
  template <class A, class B, class T, class U, int Dim, char i, char j>
  class Tensor2_symmetric_times_Tensor1_0
  {
    Tensor2_symmetric_Expr<A, T, Dim, j, i> iterA;
    Tensor1_Expr<B, U, Dim, j> iterB;
 
    template <int Current_Dim>
    typename promote<T, U>::V
    eval(const int N1, const Number<Current_Dim> &) const
    {
      return iterA(Current_Dim - 1, N1) * iterB(Current_Dim - 1)
             + eval(N1, Number<Current_Dim - 1>());
    }
    typename promote<T, U>::V eval(const int N1, const Number<1> &) const
    {
      return iterA(0, N1) * iterB(0);
    }
 
  public:
    Tensor2_symmetric_times_Tensor1_0(
      const Tensor2_symmetric_Expr<A, T, Dim, j, i> &a,
      const Tensor1_Expr<B, U, Dim, j> &b)
        : iterA(a), iterB(b)
    {}
    typename promote<T, U>::V operator()(const int N1) const
    {
      return eval(N1, Number<Dim>());
    }
  };
 
  template <class A, class B, class T, class U, int Dim, char i, char j>
  Tensor1_Expr<Tensor2_symmetric_times_Tensor1_0<A, B, T, U, Dim, i, j>,
               typename promote<T, U>::V, Dim, i>
  operator*(const Tensor2_symmetric_Expr<A, T, Dim, j, i> &a,
            const Tensor1_Expr<B, U, Dim, j> &b)
  {
    using TensorExpr
      = Tensor2_symmetric_times_Tensor1_0<A, B, T, U, Dim, i, j>;
    return Tensor1_Expr<TensorExpr, typename promote<T, U>::V, Dim, i>(
      TensorExpr(a, b));
  }
 
  /* B(j)*A(i,j) -> Tensor1 */
 
  template <class A, class B, class T, class U, int Dim, char i, char j>
  Tensor1_Expr<Tensor2_symmetric_times_Tensor1_1<A, B, T, U, Dim, i, j>,
               typename promote<T, U>::V, Dim, i>
  operator*(const Tensor1_Expr<B, U, Dim, j> &b,
            const Tensor2_symmetric_Expr<A, T, Dim, i, j> &a)
  {
    using TensorExpr
      = Tensor2_symmetric_times_Tensor1_1<A, B, T, U, Dim, i, j>;
    return Tensor1_Expr<TensorExpr, typename promote<T, U>::V, Dim, i>(
      TensorExpr(a, b));
  }
 
  /* B(j)*A(j,i) -> Tensor1 */
 
  template <class A, class B, class T, class U, int Dim, char i, char j>
  Tensor1_Expr<Tensor2_symmetric_times_Tensor1_0<A, B, T, U, Dim, i, j>,
               typename promote<T, U>::V, Dim, i>
  operator*(const Tensor1_Expr<B, U, Dim, j> &b,
            const Tensor2_symmetric_Expr<A, T, Dim, j, i> &a)
  {
    using TensorExpr
      = Tensor2_symmetric_times_Tensor1_0<A, B, T, U, Dim, i, j>;
    return Tensor1_Expr<TensorExpr, typename promote<T, U>::V, Dim, i>(
      TensorExpr(a, b));
  }
 
  /* A(i,j)*B(k) -> Dg */
 
  template <class A, class B, class T, class U, int Dim, int Dim2, char i,
            char j, char k>
  class Tensor2_symmetric_times_Tensor1
  {
    Tensor2_symmetric_Expr<A, T, Dim, i, j> iterA;
    Tensor1_Expr<B, U, Dim2, k> iterB;
 
  public:
    Tensor2_symmetric_times_Tensor1(
      const Tensor2_symmetric_Expr<A, T, Dim, i, j> &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 int N3) const
    {
      return iterA(N1, N2) * iterB(N3);
    }
  };
 
  template <class A, class B, class T, class U, int Dim, int Dim2, char i,
            char j, char k>
  Dg_Expr<Tensor2_symmetric_times_Tensor1<A, B, T, U, Dim, Dim2, i, j, k>,
          typename promote<T, U>::V, Dim, Dim2, i, j, k>
  operator*(const Tensor2_symmetric_Expr<A, T, Dim, i, j> &a,
            const Tensor1_Expr<B, U, Dim2, k> &b)
  {
    using TensorExpr
      = Tensor2_symmetric_times_Tensor1<A, B, T, U, Dim, Dim2, i, j, k>;
    return Dg_Expr<TensorExpr, typename promote<T, U>::V, Dim, Dim2, i, j, k>(
      TensorExpr(a, b));
  }
 
  /* B(k)*A(i,j) -> Dg */
 
  template <class A, class B, class T, class U, int Dim, int Dim2, char i,
            char j, char k>
  Dg_Expr<Tensor2_symmetric_times_Tensor1<A, B, T, U, Dim, Dim2, i, j, k>,
          typename promote<T, U>::V, Dim, Dim2, i, j, k>
  operator*(const Tensor1_Expr<B, U, Dim2, k> &b,
            const Tensor2_symmetric_Expr<A, T, Dim, i, j> &a)
  {
    using TensorExpr
      = Tensor2_symmetric_times_Tensor1<A, B, T, U, Dim, Dim2, i, j, k>;
    return Dg_Expr<TensorExpr, typename promote<T, U>::V, Dim, Dim2, i, j, k>(
      TensorExpr(a, b));
  }
}