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#ifndef _SKIT_IC0_H
#define _SKIT_IC0_H
///
/// This file is part of Rheolef.
///
/// Copyright (C) 2000-2009 Pierre Saramito <Pierre.Saramito@imag.fr>
///
/// Rheolef 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 2 of the License, or
/// (at your option) any later version.
///
/// Rheolef 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 Rheolef; if not, write to the Free Software
/// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
/// 
/// =========================================================================

/*Class:ic0
NAME: @code{ic0} - incomplete Choleski factorization
@clindex ssr
@clindex vec
@cindex sparse matrix
DESCRIPTION:       
 @noindent
 The class implements the icomplete Choleski factorization IC0(A)
 when $A$ is a square symmetric matrix stored in CSR format.
 @example
     	csr<double> a = ...;
     	ic0<double> fact(a);
 @end example
AUTHOR: 
     Pierre Saramito
   | Pierre.Saramito@imag.fr
    LMC-IMAG, 38041 Grenoble cedex 9, France
DATE:   12 november 2009
End:
*/
#include "rheolef/csr.h"
namespace rheolef { 

//<ic0:
template <class T>
class basic_ic0 : public csr<T> {
public:
  typedef typename csr<T>::size_type size_type;
  typedef          T                 element_type;
// constructors:
  basic_ic0 ();
  explicit basic_ic0 (const csr<T>& a);
// solver:
  void inplace_solve (vec<T>& x) const;
  void solve (const vec<T>& b, vec<T>& x) const;
  vec<T> solve (const vec<T>& b) const;
// accessors:
  size_type nrow () const { return csr<T>::nrow(); }
  size_type ncol () const { return csr<T>::ncol(); }
  size_type nnz  () const { return csr<T>::nnz(); }
};
template <class T>
basic_ic0<T> ic0 (const csr<T>& a);
//>ic0:

}// namespace rheolef

// ------------------------------------------------------------------
// inlined implementations
// ------------------------------------------------------------------

# include "rheolef/ic0-algo.h"

namespace rheolef { 

template<class T>
inline
basic_ic0<T>::basic_ic0 ()
 : csr<T>()
{
}
template<class T>
inline
basic_ic0<T>::basic_ic0 (const csr<T>& a)
 : csr<T>()
{
  size_t nnz_extra_diag_upper = csr_nnz_extra_diag_upper (a.nrow(), a.ia().begin(), a.ja().begin());
  csr<T>::resize (a.nrow(), a.ncol(), nnz_extra_diag_upper + a.nrow());
#ifdef TO_CLEAN
cerr << "A = " << matlab << a << endl;
#endif // TO_CLEAN
  csr_extract_upper (a.nrow(),
    a.ia().begin(), a.ja().begin(), a.a().begin(),
    csr<T>::ia().begin(), csr<T>::ja().begin(), csr<T>::a().begin());
#ifdef TO_CLEAN
cerr << "CSC_A = " << matlab << csr<T>(*this) << endl;
#endif // TO_CLEAN
  csc_ic0 (a.nrow(),
    csr<T>::ia().begin(), csr<T>::ja().begin(), csr<T>::a().begin());
#ifdef TO_CLEAN
cerr << "IC0_A = " << matlab << csr<T>(*this) << endl;
#endif // TO_CLEAN
}
template <class T>
inline
basic_ic0<T> ic0 (const csr<T>& a)
{
  return basic_ic0<T>(a);
}
template<class T>
inline
void
basic_ic0<T>::inplace_solve (vec<T>& x) const
{
  fatal_macro ("not yet");
}
template<class T>
inline
void
basic_ic0<T>::solve (const vec<T>& b, vec<T>& x) const
{
  std::copy (b.begin(), b.end(), x.begin());
  // solve L*y = b (use x for y)
  csc_lower_diag_solve (nrow(),
	csr<T>::ia().begin(), csr<T>::ja().begin(), csr<T>::a().begin(),
	x.begin());
  // solve L*x = y (use x for y)
  csr_upper_diag_solve (nrow(),
	csr<T>::ia().begin(), csr<T>::ja().begin(), csr<T>::a().begin(),
	x.begin(), x.begin());
}
template<class T>
inline
vec<T>
basic_ic0<T>::solve (const vec<T>& b) const
{
  vec<T> x (b.size());
  solve (b,x);
#ifdef TO_CLEAN
cerr << "b = " << matlab << b << endl;
cerr << "x = " << matlab << x << endl;
#endif // TO_CLEAN
  return x;
}

}// namespace rheolef
#endif // _SKIT_IC0_H