/* -*- c++ -*- (enables emacs c++ mode) */
/*===========================================================================

 Copyright (C) 2003-2017 Yves Renard

 This file is a part of GetFEM++

 GetFEM++  is  free software;  you  can  redistribute  it  and/or modify it
 under  the  terms  of the  GNU  Lesser General Public License as published
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 (at your option) any later version along with the GCC Runtime Library
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 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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 As a special exception, you  may use  this file  as it is a part of a free
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===========================================================================*/

/**@file gmm_precond_diagonal.h
   @author  Yves Renard <Yves.Renard@insa-lyon.fr>
   @date June 5, 2003.
   @brief Diagonal matrix preconditoner.
*/

#ifndef GMM_PRECOND_DIAGONAL_H
#define GMM_PRECOND_DIAGONAL_H

#include "gmm_precond.h"

namespace gmm {

  /** Diagonal preconditioner. */
  template<typename Matrix> struct diagonal_precond {
    typedef typename linalg_traits<Matrix>::value_type value_type;
    typedef typename number_traits<value_type>::magnitude_type magnitude_type;

    std::vector<magnitude_type> diag;

    void build_with(const Matrix &M) {
      diag.resize(mat_nrows(M));
      for (size_type i = 0; i < mat_nrows(M); ++i) {
	magnitude_type x = gmm::abs(M(i, i));
	if (x == magnitude_type(0)) {
	  x = magnitude_type(1);
	  GMM_WARNING2("The matrix has a zero on its diagonal");
	}
	diag[i] = magnitude_type(1) / x;
      }
    }
    size_type memsize() const { return sizeof(*this) + diag.size() * sizeof(value_type); }
    diagonal_precond(const Matrix &M) { build_with(M); }
    diagonal_precond(void) {}
  };

  template <typename Matrix, typename V2> inline
  void mult_diag_p(const diagonal_precond<Matrix>& P, V2 &v2, abstract_sparse){
    typename linalg_traits<V2>::iterator it = vect_begin(v2),
      ite = vect_end(v2);
    for (; it != ite; ++it) *it *= P.diag[it.index()];
  }

  template <typename Matrix, typename V2> inline
  void mult_diag_p(const diagonal_precond<Matrix>& P,V2 &v2, abstract_skyline)
    { mult_diag_p(P, v2, abstract_sparse()); }

  template <typename Matrix, typename V2> inline
  void mult_diag_p(const diagonal_precond<Matrix>& P, V2 &v2, abstract_dense){
    for (size_type i = 0; i < P.diag.size(); ++i) v2[i] *= P.diag[i];
  }

  template <typename Matrix, typename V1, typename V2> inline
  void mult(const diagonal_precond<Matrix>& P, const V1 &v1, V2 &v2) {
    GMM_ASSERT2(P.diag.size() == vect_size(v2),"dimensions mismatch");
    copy(v1, v2);
    mult_diag_p(P, v2, typename linalg_traits<V2>::storage_type());
  }

  template <typename Matrix, typename V1, typename V2> inline
  void transposed_mult(const diagonal_precond<Matrix>& P,const V1 &v1,V2 &v2) {
    mult(P, v1, v2);
  }
  
  // # define DIAG_LEFT_MULT_SQRT
  
  template <typename Matrix, typename V1, typename V2> inline
  void left_mult(const diagonal_precond<Matrix>& P, const V1 &v1, V2 &v2) {
    GMM_ASSERT2(P.diag.size() == vect_size(v2), "dimensions mismatch");
    copy(v1, v2);
#   ifdef DIAG_LEFT_MULT_SQRT
    for (size_type i= 0; i < P.diag.size(); ++i) v2[i] *= gmm::sqrt(P.diag[i]);
#   else
    for (size_type i= 0; i < P.diag.size(); ++i) v2[i] *= P.diag[i];
#   endif
  }

  template <typename Matrix, typename V1, typename V2> inline
  void transposed_left_mult(const diagonal_precond<Matrix>& P,
			    const V1 &v1, V2 &v2)
    { left_mult(P, v1, v2); }

  template <typename Matrix, typename V1, typename V2> inline
  void right_mult(const diagonal_precond<Matrix>& P, const V1 &v1, V2 &v2) {
    // typedef typename linalg_traits<Matrix>::value_type T;
    GMM_ASSERT2(P.diag.size() == vect_size(v2), "dimensions mismatch");
    copy(v1, v2);
#   ifdef DIAG_LEFT_MULT_SQRT    
    for (size_type i= 0; i < P.diag.size(); ++i) v2[i] *= gmm::sqrt(P.diag[i]);
#   endif
  }

  template <typename Matrix, typename V1, typename V2> inline
  void transposed_right_mult(const diagonal_precond<Matrix>& P,
			    const V1 &v1, V2 &v2)
    { right_mult(P, v1, v2); }

}

#endif