gmm_precond_diagonal.h

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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