tensor_lapack.h

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/*
  This file is part of MADNESS.
  
  Copyright (C) 2007,2010 Oak Ridge National Laboratory
  
  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 2 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, write to the Free Software
  Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
  
  For more information please contact:

  Robert J. Harrison
  Oak Ridge National Laboratory
  One Bethel Valley Road
  P.O. Box 2008, MS-6367

  email: harrisonrj@ornl.gov 
  tel:   865-241-3937
  fax:   865-572-0680

  
  $Id$
*/

  
#ifndef MADNESS_LINALG_TENSOR_LAPACK_H__INCLUDED
#define MADNESS_LINALG_TENSOR_LAPACK_H__INCLUDED

#include <madness/tensor/tensor.h>
#include <madness/fortran_ctypes.h>

namespace madness {

    
    template <typename T>
    void svd(const Tensor<T>& a, Tensor<T>& U,
             Tensor< typename Tensor<T>::scalar_type >& s, Tensor<T>& VT);

    template <typename T>
    void svd_result(Tensor<T>& a, Tensor<T>& U,
             Tensor< typename Tensor<T>::scalar_type >& s, Tensor<T>& VT, Tensor<T>& work);

    
    template <typename T>
    void gesv(const Tensor<T>& a, const Tensor<T>& b, Tensor<T>& x);

    
    template <typename T>
    void gelss(const Tensor<T>& a, const Tensor<T>& b, double rcond,
               Tensor<T>& x, Tensor< typename Tensor<T>::scalar_type >& s,
               long &rank, Tensor<typename Tensor<T>::scalar_type>& sumsq);

    
    template <typename T>
    void syev(const Tensor<T>& A,
              Tensor<T>& V, Tensor< typename Tensor<T>::scalar_type >& e);

    
    template <typename T>
    void gesv(const Tensor<T>& a, const Tensor<T>& b, Tensor<T>& x);


    
    template <typename T>
    void sygv(const Tensor<T>& A, const Tensor<T>& B, int itype,
              Tensor<T>& V, Tensor< typename Tensor<T>::scalar_type >& e);

#ifdef MADNESS_HAS_ELEMENTAL
    class World; // UGH!
    
    template <typename T>
    void sygvp(World& world, const Tensor<T>& A, const Tensor<T>& B, int itype,
              Tensor<T>& V, Tensor< typename Tensor<T>::scalar_type >& e);

    
    template <typename T>
    void gesvp(World& world, const Tensor<T>& a, const Tensor<T>& b, Tensor<T>& x);

#endif

    
    template <typename T>
    void cholesky(Tensor<T>& A);

    template<typename T>
    void qr(Tensor<T>& A, Tensor<T>& R);

    template<typename T>
    void lq(Tensor<T>& A, Tensor<T>& L);

    template <typename T>
    void geqp3(Tensor<T>& A, Tensor<T>& tau, Tensor<integer>& jpvt);


    template <typename T>
    void orgqr(Tensor<T>& A, const Tensor<T>& tau);


    
//     /// \ingroup linalg
//     template <typename T>
//     void triangular_solve(const Tensor<T>& L, Tensor<T>& B, 
//                           const char* side, const char* transa);

    
    bool test_tensor_lapack();

    
    void init_tensor_lapack();
}
#endif // MADNESS_LINALG_TENSOR_LAPACK_H__INCLUDED