subt_expr.h

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/*
 *  This file is a part of TiledArray.
 *  Copyright (C) 2013  Virginia Tech
 *
 *  This program is free software: you can redistribute it and/or modify
 *  it under the terms of the GNU General Public License as published by
 *  the Free Software Foundation, either version 3 of the License, or
 *  (at your option) any later version.
 *
 *  This program is distributed in the hope that it will be useful,
 *  but WITHOUT ANY WARRANTY; without even the implied warranty of
 *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 *  GNU General Public License for more details.
 *
 *  You should have received a copy of the GNU General Public License
 *  along with this program.  If not, see <http://www.gnu.org/licenses/>.
 *
 *  Justus Calvin
 *  Department of Chemistry, Virginia Tech
 *
 *  subt_expr.h
 *  Apr 1, 2014
 *
 */
 
#ifndef TILEDARRAY_EXPRESSIONS_SUBT_EXPR_H__INCLUDED
#define TILEDARRAY_EXPRESSIONS_SUBT_EXPR_H__INCLUDED
 
#include <TiledArray/expressions/binary_expr.h>
#include <TiledArray/expressions/subt_engine.h>
 
namespace TiledArray {
namespace expressions {
 
template <typename Left, typename Right>
using ConjSubtExpr =
    ScalSubtExpr<Left, Right, TiledArray::detail::ComplexConjugate<void> >;
 
template <typename Left, typename Right, typename Scalar>
using ScalConjSubtExpr =
    ScalSubtExpr<Left, Right, TiledArray::detail::ComplexConjugate<Scalar> >;
 
using TiledArray::detail::conj_op;
using TiledArray::detail::mult_t;
using TiledArray::detail::numeric_t;
using TiledArray::detail::scalar_t;
 
template <typename Left, typename Right>
struct ExprTrait<SubtExpr<Left, Right> > {
  typedef Left left_type;    
  typedef Right right_type;  
  typedef result_of_subt_t<
      typename EngineTrait<typename ExprTrait<Left>::engine_type>::eval_type,
      typename EngineTrait<typename ExprTrait<Right>::engine_type>::eval_type>
      result_type;  
  typedef SubtEngine<typename ExprTrait<Left>::engine_type,
                     typename ExprTrait<Right>::engine_type, result_type>
      engine_type;  
  typedef numeric_t<typename EngineTrait<engine_type>::eval_type>
      numeric_type;  
  typedef scalar_t<typename EngineTrait<engine_type>::eval_type>
      scalar_type;  
};
 
template <typename Left, typename Right, typename Scalar>
struct ExprTrait<ScalSubtExpr<Left, Right, Scalar> > {
  typedef Left left_type;      
  typedef Right right_type;    
  typedef Scalar scalar_type;  
  typedef result_of_subt_t<
      typename EngineTrait<typename ExprTrait<Left>::engine_type>::eval_type,
      typename EngineTrait<typename ExprTrait<Right>::engine_type>::eval_type,
      scalar_type>
      result_type;  
  typedef ScalSubtEngine<typename ExprTrait<Left>::engine_type,
                         typename ExprTrait<Right>::engine_type, Scalar,
                         result_type>
      engine_type;  
  typedef numeric_t<typename EngineTrait<engine_type>::eval_type>
      numeric_type;  
};
 
 
template <typename Left, typename Right>
class SubtExpr : public BinaryExpr<SubtExpr<Left, Right> > {
 public:
  typedef SubtExpr<Left, Right> SubtExpr_;
  typedef BinaryExpr<SubtExpr_> BinaryExpr_;  
  typedef typename ExprTrait<SubtExpr_>::left_type
      left_type;  
  typedef typename ExprTrait<SubtExpr_>::right_type
      right_type;  
  typedef typename ExprTrait<SubtExpr_>::engine_type
      engine_type;  
 
  // Compiler generated functions
  SubtExpr(const SubtExpr_&) = default;
  SubtExpr(SubtExpr_&&) = default;
  ~SubtExpr() = default;
  SubtExpr_& operator=(const SubtExpr_&) = delete;
  SubtExpr_& operator=(SubtExpr_&&) = delete;
 
 
  SubtExpr(const left_type& left, const right_type& right)
      : BinaryExpr_(left, right) {}
 
};  // class SubtExpr
 
 
template <typename Left, typename Right, typename Scalar>
class ScalSubtExpr : public BinaryExpr<ScalSubtExpr<Left, Right, Scalar> > {
 public:
  typedef ScalSubtExpr<Left, Right, Scalar> ScalSubtExpr_;  
  typedef BinaryExpr<ScalSubtExpr_> BinaryExpr_;  
  typedef typename ExprTrait<ScalSubtExpr_>::left_type
      left_type;  
  typedef typename ExprTrait<ScalSubtExpr_>::right_type
      right_type;  
  typedef typename ExprTrait<ScalSubtExpr_>::engine_type
      engine_type;  
  typedef typename ExprTrait<ScalSubtExpr_>::scalar_type
      scalar_type;  
 
 private:
  scalar_type factor_;  
 
 public:
  // Compiler generated functions
  ScalSubtExpr(const ScalSubtExpr_&) = default;
  ScalSubtExpr(ScalSubtExpr_&&) = default;
  ~ScalSubtExpr() = default;
  ScalSubtExpr_& operator=(const ScalSubtExpr_&) = delete;
  ScalSubtExpr_& operator=(ScalSubtExpr_&&) = delete;
 
 
  ScalSubtExpr(const left_type& left, const right_type& right,
               const scalar_type factor)
      : BinaryExpr_(left, right), factor_(factor) {}
 
 
  scalar_type factor() const { return factor_; }
 
};  // class ScalSubtExpr
 
using TiledArray::detail::mult_t;
 
 
template <typename Left, typename Right>
inline SubtExpr<Left, Right> operator-(const Expr<Left>& left,
                                       const Expr<Right>& right) {
  static_assert(
      TiledArray::expressions::is_aliased<Left>::value,
      "no_alias() expressions are not allowed on the right-hand side of "
      "the assignment operator.");
  static_assert(
      TiledArray::expressions::is_aliased<Right>::value,
      "no_alias() expressions are not allowed on the right-hand side of "
      "the assignment operator.");
  return SubtExpr<Left, Right>(left.derived(), right.derived());
}
 
 
template <typename Left, typename Right, typename Scalar,
          typename std::enable_if<
              TiledArray::detail::is_numeric_v<Scalar> >::type* = nullptr>
inline ScalSubtExpr<Left, Right, Scalar> operator*(
    const SubtExpr<Left, Right>& expr, const Scalar& factor) {
  return ScalSubtExpr<Left, Right, Scalar>(expr.left(), expr.right(), factor);
}
 
 
template <typename Left, typename Right, typename Scalar,
          typename std::enable_if<
              TiledArray::detail::is_numeric_v<Scalar> >::type* = nullptr>
inline ScalSubtExpr<Left, Right, Scalar> operator*(
    const Scalar& factor, const SubtExpr<Left, Right>& expr) {
  return ScalSubtExpr<Left, Right, Scalar>(expr.left(), expr.right(), factor);
}
 
 
template <typename Left, typename Right, typename Scalar1, typename Scalar2,
          typename std::enable_if<
              TiledArray::detail::is_numeric_v<Scalar2> >::type* = nullptr>
inline ScalSubtExpr<Left, Right, mult_t<Scalar1, Scalar2> > operator*(
    const ScalSubtExpr<Left, Right, Scalar1>& expr, const Scalar2& factor) {
  return ScalSubtExpr<Left, Right, mult_t<Scalar1, Scalar2> >(
      expr.left(), expr.right(), expr.factor() * factor);
}
 
 
template <typename Left, typename Right, typename Scalar1, typename Scalar2,
          typename std::enable_if<
              TiledArray::detail::is_numeric_v<Scalar1> >::type* = nullptr>
inline ScalSubtExpr<Left, Right, mult_t<Scalar2, Scalar1> > operator*(
    const Scalar1& factor, const ScalSubtExpr<Left, Right, Scalar2>& expr) {
  return ScalSubtExpr<Left, Right, mult_t<Scalar2, Scalar1> >(
      expr.left(), expr.right(), expr.factor() * factor);
}
 
 
template <typename Left, typename Right>
inline ScalSubtExpr<Left, Right,
                    typename ExprTrait<SubtExpr<Left, Right> >::numeric_type>
operator-(const SubtExpr<Left, Right>& expr) {
  return ScalSubtExpr<Left, Right,
                      typename ExprTrait<SubtExpr<Left, Right> >::numeric_type>(
      expr.left(), expr.right(), -1);
}
 
 
template <typename Left, typename Right, typename Scalar>
inline ScalSubtExpr<Left, Right, Scalar> operator-(
    const ScalSubtExpr<Left, Right, Scalar>& expr) {
  return ScalSubtExpr<Left, Right, Scalar>(expr.left(), expr.right(), -1);
}
 
 
template <typename Left, typename Right>
inline ConjSubtExpr<Left, Right> conj(const SubtExpr<Left, Right>& expr) {
  return ConjSubtExpr<Left, Right>(expr.left(), expr.right(), conj_op());
}
 
 
template <typename Left, typename Right>
inline SubtExpr<Left, Right> conj(const ConjSubtExpr<Left, Right>& expr) {
  return SubtExpr<Left, Right>(expr.left(), expr.right());
}
 
 
template <typename Left, typename Right, typename Scalar>
inline ScalConjSubtExpr<Left, Right, Scalar> conj(
    const ScalSubtExpr<Left, Right, Scalar>& expr) {
  return ScalConjSubtExpr<Left, Right, Scalar>(
      expr.left(), expr.right(),
      conj_op(TiledArray::detail::conj(expr.factor())));
}
 
 
template <typename Left, typename Right, typename Scalar>
inline ScalSubtExpr<Left, Right, Scalar> conj(
    const ScalConjSubtExpr<Left, Right, Scalar>& expr) {
  return ScalSubtExpr<Left, Right, Scalar>(
      expr.left(), expr.right(),
      TiledArray::detail::conj(expr.factor().factor()));
}
 
 
template <typename Left, typename Right, typename Scalar,
          typename std::enable_if<
              TiledArray::detail::is_numeric_v<Scalar> >::type* = nullptr>
inline ScalConjSubtExpr<Left, Right, Scalar> operator*(
    const ConjSubtExpr<Left, Right>& expr, const Scalar& factor) {
  return ScalConjSubtExpr<Left, Right, Scalar>(expr.left(), expr.right(),
                                               conj_op(factor));
}
 
 
template <typename Left, typename Right, typename Scalar,
          typename std::enable_if<
              TiledArray::detail::is_numeric_v<Scalar> >::type* = nullptr>
inline ScalConjSubtExpr<Left, Right, Scalar> operator*(
    const Scalar& factor, const ConjSubtExpr<Left, Right>& expr) {
  return ScalConjSubtExpr<Left, Right, Scalar>(expr.left(), expr.right(),
                                               conj_op(factor));
}
 
 
template <typename Left, typename Right, typename Scalar1, typename Scalar2,
          typename std::enable_if<
              TiledArray::detail::is_numeric_v<Scalar2> >::type* = nullptr>
inline ScalConjSubtExpr<Left, Right, mult_t<Scalar1, Scalar2> > operator*(
    const ScalConjSubtExpr<Left, Right, Scalar1>& expr, const Scalar2& factor) {
  return ScalConjSubtExpr<Left, Right, mult_t<Scalar1, Scalar2> >(
      expr.left(), expr.right(), conj_op(expr.factor().factor() * factor));
}
 
 
template <typename Left, typename Right, typename Scalar1, typename Scalar2,
          typename std::enable_if<
              TiledArray::detail::is_numeric_v<Scalar1> >::type* = nullptr>
inline ScalConjSubtExpr<Left, Right, mult_t<Scalar2, Scalar1> > operator*(
    const Scalar1& factor, const ScalConjSubtExpr<Left, Right, Scalar2>& expr) {
  return ScalConjSubtExpr<Left, Right, mult_t<Scalar2, Scalar1> >(
      expr.left(), expr.right(), conj_op(expr.factor().factor() * factor));
}
 
 
template <typename Left, typename Right>
inline ScalConjSubtExpr<
    Left, Right, typename ExprTrait<ConjSubtExpr<Left, Right> >::numeric_type>
operator-(const ConjSubtExpr<Left, Right>& expr) {
  typedef
      typename ExprTrait<ConjSubtExpr<Left, Right> >::numeric_type scalar_type;
  return ScalConjSubtExpr<Left, Right, scalar_type>(expr.left(), expr.right(),
                                                    conj_op<scalar_type>(-1));
}
 
 
template <typename Left, typename Right, typename Scalar>
inline ScalConjSubtExpr<Left, Right, Scalar> operator-(
    const ScalConjSubtExpr<Left, Right, Scalar>& expr) {
  return ScalConjSubtExpr<Left, Right, Scalar>(
      expr.left(), expr.right(), conj_op(-expr.factor().factor()));
}
 
}  // namespace expressions
}  // namespace TiledArray
 
#endif  // TILEDARRAY_EXPRESSIONS_SUBT_EXPR_H__INCLUDED