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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2012 Désiré Nuentsa-Wakam <desire.nuentsa_wakam@inria.fr>
//
// Eigen is free software; you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public
// License as published by the Free Software Foundation; either
// version 3 of the License, or (at your option) any later version.
//
// Alternatively, 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.
//
// Eigen 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 Lesser General Public License or the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public
// License and a copy of the GNU General Public License along with
// Eigen. If not, see <http://www.gnu.org/licenses/>.
/*
* NOTE: This file is the modified version of [s,d,c,z]memory.c files in SuperLU
* -- SuperLU routine (version 3.1) --
* Univ. of California Berkeley, Xerox Palo Alto Research Center,
* and Lawrence Berkeley National Lab.
* August 1, 2008
*
* Copyright (c) 1994 by Xerox Corporation. All rights reserved.
*
* THIS MATERIAL IS PROVIDED AS IS, WITH ABSOLUTELY NO WARRANTY
* EXPRESSED OR IMPLIED. ANY USE IS AT YOUR OWN RISK.
*
* Permission is hereby granted to use or copy this program for any
* purpose, provided the above notices are retained on all copies.
* Permission to modify the code and to distribute modified code is
* granted, provided the above notices are retained, and a notice that
* the code was modified is included with the above copyright notice.
*/
#ifndef EIGEN_SPARSELU_MEMORY
#define EIGEN_SPARSELU_MEMORY
#define LU_Reduce(alpha) ((alpha + 1) / 2) // i.e (alpha-1)/2 + 1
#define LU_GluIntArray(n) (5* (n) + 5)
#define LU_TempSpace(m, w) ( (2*w + 4 + LU_NO_MARKER) * m * sizeof(Index) \
+ (w + 1) * m * sizeof(Scalar)
namespace internal {
/**
* \brief Allocate various working space needed in the numerical factorization phase.
* \param m number of rows of the input matrix
* \param n number of columns
* \param annz number of initial nonzeros in the matrix
* \param work scalar working space needed by all factor routines
* \param iwork Integer working space
* \param lwork if lwork=-1, this routine returns an estimated size of the required memory
* \param Glu persistent data to facilitate multiple factors : will be deleted later ??
* \return an estimated size of the required memory if lwork = -1;
* FIXME should also return the size of actually allocated when memory allocation failed
* NOTE Unlike SuperLU, this routine does not allow the user to provide the size to allocate
*/
template <typename ScalarVector,typename IndexVector>
int SparseLU::LUMemInit(int m, int n, int annz, Scalar *work, Index *iwork, int lwork, int fillratio, GlobalLU_t& Glu)
{
typedef typename ScalarVector::Scalar;
typedef typename IndexVector::Index;
Glu.num_expansions = 0; //No memory expansions so far
if (!Glu.expanders)
Glu.expanders = new ExpHeader(LU_NBR_MEMTYPE);
// Guess the size for L\U factors
int nzlmax, nzumax, nzlumax;
nzumax = nzlumax = m_fillratio * annz; // estimated number of nonzeros in U
nzlmax = std::max(1, m_fill_ratio/4.) * annz; // estimated nnz in L factor
// Return the estimated size to the user if necessary
int estimated_size;
if (lwork == IND_EMPTY)
{
estimated_size = LU_GluIntArray(n) * sizeof(Index) + LU_TempSpace(m, m_panel_size)
+ (nzlmax + nzumax) * sizeof(Index) + (nzlumax+nzumax) * sizeof(Scalar) + n);
return estimated_size;
}
// Setup the required space
// NOTE: In SuperLU, there is an option to let the user provide its own space, unlike here.
// Allocate Integer pointers for L\U factors
Glu.supno = new IndexVector;
Glu.supno->resize(n+1);
Glu.xlsub = new IndexVector;
Glu.xlsub->resize(n+1);
Glu.xlusup = new IndexVector;
Glu.xlusup->resize(n+1);
Glu.xusub = new IndexVector;
Glu.xusub->resize(n+1);
// Reserve memory for L/U factors
Glu.lusup = new ScalarVector;
Glu.ucol = new ScalarVector;
Glu.lsub = new IndexVector;
Glu.usub = new IndexVector;
expand<ScalarVector>(Glu.lusup,nzlumax, LUSUP, 0, 0, Glu);
expand<ScalarVector>(Glu.ucol,nzumax, UCOL, 0, 0, Glu);
expand<IndexVector>(Glu.lsub,nzlmax, LSUB, 0, 0, Glu);
expand<IndexVector>(Glu.usub,nzumax, USUB, 0, 1, Glu);
// Check if the memory is correctly allocated,
// Should be a try... catch section here
while ( !Glu.lusup.size() || !Glu.ucol.size() || !Glu.lsub.size() || !Glu.usub.size())
{
//otherwise reduce the estimated size and retry
// delete [] Glu.lusup;
// delete [] Glu.ucol;
// delete [] Glu.lsub;
// delete [] Glu.usub;
//
nzlumax /= 2;
nzumax /= 2;
nzlmax /= 2;
//FIXME Should be an excpetion here
eigen_assert (nzlumax > annz && "Not enough memory to perform factorization");
expand<ScalarVector>(Glu.lsup, nzlumax, LUSUP, 0, 0, Glu);
expand<ScalarVector>(Glu.ucol, nzumax, UCOL, 0, 0, Glu);
expand<IndexVector>(Glu.lsub, nzlmax, LSUB, 0, 0, Glu);
expand<IndexVector>(Glu.usub, nzumax, USUB, 0, 1, Glu);
}
// LUWorkInit : Now, allocate known working storage
int isize = (2 * m_panel_size + 3 + LU_NO_MARKER) * m + n;
int dsize = m * m_panel_size + LU_NUM_TEMPV(m, m_panel_size, m_maxsuper, m_rowblk);
iwork = new Index(isize);
eigen_assert( (m_iwork != 0) && "Malloc fails for iwork");
work = new Scalar(dsize);
eigen_assert( (m_work != 0) && "Malloc fails for dwork");
++Glu.num_expansions;
return 0;
} // end LuMemInit
/**
* Expand the existing storage to accomodate more fill-ins
* \param vec Valid pointer to a vector to allocate or expand
* \param [in,out]prev_len At input, length from previous call. At output, length of the newly allocated vector
* \param type Which part of the memory to expand
* \param len_to_copy Size of the memory to be copied to new store
* \param keep_prev true: use prev_len; Do not expand this vector; false: compute new_len and expand
*/
template <typename VectorType >
int SparseLU::expand(VectorType& vec, int& prev_len, MemType type, int len_to_copy, bool keep_prev, GlobalLU_t& Glu)
{
float alpha = 1.5; // Ratio of the memory increase
int new_len; // New size of the allocated memory
if(Glu.num_expansions == 0 || keep_prev)
new_len = prev_len; // First time allocate requested
else
new_len = alpha * prev_len;
// Allocate new space
// vec = new VectorType(new_len);
VectorType old_vec(vec);
if ( Glu.num_expansions != 0 ) // The memory has been expanded before
{
int tries = 0;
vec.resize(new_len); //expand the current vector
if (keep_prev)
{
if (!vec.size()) return -1 ; // FIXME could throw an exception somehow
}
else
{
while (!vec.size())
{
// Reduce the size and allocate again
if ( ++tries > 10) return -1
alpha = LU_Reduce(alpha);
new_len = alpha * prev_len;
vec->resize(new_len);
}
} // end allocation
//Copy the previous values to the newly allocated space
for (int i = 0; i < old_vec.size(); i++)
vec(i) = old_vec(i);
} // end expansion
// expanders[type].mem = vec;
// expanders[type].size = new_len;
prev_len = new_len;
if(Glu.num_expansions) ++Glu.num_expansions;
return 0;
}
/**
* \brief Expand the existing storage
*
* NOTE: The calling sequence of this function is different from that of SuperLU
*
* \return a pointer to the newly allocated space
*/
template <typename VectorType>
VectorType* SparseLU::LUMemXpand(int jcol, int next, MemType mem_type, int& maxlen)
{
VectorType *newmem;
if (memtype == USUB)
vec = expand<VectorType>(vec, maxlen, mem_type, next, 1);
else
vec = expand<VectorType>(vec, maxlen, mem_type, next, 0);
// FIXME Should be an exception instead of an assert
eigen_assert(new_mem.size() && "Can't expand memory");
return new_mem;
}
}// Namespace Internal
#endif
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