|
|
|
/*
|
|
|
|
*
|
|
|
|
* MLD2P4 version 2.0
|
|
|
|
* MultiLevel Domain Decomposition Parallel Preconditioners Package
|
|
|
|
* based on PSBLAS (Parallel Sparse BLAS version 3.0)
|
|
|
|
*
|
|
|
|
* (C) Copyright 2008,2009,2010,2012,2013
|
|
|
|
*
|
|
|
|
* Salvatore Filippone University of Rome Tor Vergata
|
|
|
|
* Alfredo Buttari CNRS-IRIT, Toulouse
|
|
|
|
* Pasqua D'Ambra ICAR-CNR, Naples
|
|
|
|
* Daniela di Serafino Second University of Naples
|
|
|
|
*
|
|
|
|
* Redistribution and use in source and binary forms, with or without
|
|
|
|
* modification, are permitted provided that the following conditions
|
|
|
|
* are met:
|
|
|
|
* 1. Redistributions of source code must retain the above copyright
|
|
|
|
* notice, this list of conditions and the following disclaimer.
|
|
|
|
* 2. Redistributions in binary form must reproduce the above copyright
|
|
|
|
* notice, this list of conditions, and the following disclaimer in the
|
|
|
|
* documentation and/or other materials provided with the distribution.
|
|
|
|
* 3. The name of the MLD2P4 group or the names of its contributors may
|
|
|
|
* not be used to endorse or promote products derived from this
|
|
|
|
* software without specific written permission.
|
|
|
|
*
|
|
|
|
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
|
|
|
|
* ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
|
|
|
|
* TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
|
|
|
|
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE MLD2P4 GROUP OR ITS CONTRIBUTORS
|
|
|
|
* BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
|
|
|
|
* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
|
|
|
|
* SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
|
|
|
|
* INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
|
|
|
|
* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
|
|
|
|
* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
|
|
|
|
* POSSIBILITY OF SUCH DAMAGE.
|
|
|
|
*
|
|
|
|
*
|
|
|
|
* File: mld_slu_interface.c
|
|
|
|
*
|
|
|
|
* Functions: mld_sslu_fact, mld_sslu_solve, mld_sslu_free.
|
|
|
|
*
|
|
|
|
* This file is an interface to the SuperLU routines for sparse factorization and
|
|
|
|
* solve. It was obtained by modifying the c_fortran_dgssv.c file from the SuperLU
|
|
|
|
* source distribution; original copyright terms are reproduced below.
|
|
|
|
*
|
|
|
|
*/
|
|
|
|
|
|
|
|
|
|
|
|
/* =====================
|
|
|
|
|
|
|
|
Copyright (c) 2003, The Regents of the University of California, through
|
|
|
|
Lawrence Berkeley National Laboratory (subject to receipt of any required
|
|
|
|
approvals from U.S. Dept. of Energy)
|
|
|
|
|
|
|
|
All rights reserved.
|
|
|
|
|
|
|
|
Redistribution and use in source and binary forms, with or without
|
|
|
|
modification, are permitted provided that the following conditions are met:
|
|
|
|
|
|
|
|
(1) Redistributions of source code must retain the above copyright notice,
|
|
|
|
this list of conditions and the following disclaimer.
|
|
|
|
(2) Redistributions in binary form must reproduce the above copyright notice,
|
|
|
|
this list of conditions and the following disclaimer in the documentation
|
|
|
|
and/or other materials provided with the distribution.
|
|
|
|
(3) Neither the name of Lawrence Berkeley National Laboratory, U.S. Dept. of
|
|
|
|
Energy nor the names of its contributors may be used to endorse or promote
|
|
|
|
products derived from this software without specific prior written permission.
|
|
|
|
|
|
|
|
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
|
|
|
|
IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO,
|
|
|
|
THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
|
|
|
|
PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
|
|
|
|
CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
|
|
|
|
EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
|
|
|
|
PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
|
|
|
|
PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
|
|
|
|
LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
|
|
|
|
NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
|
|
|
|
SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
|
|
|
|
|
|
|
|
*/
|
|
|
|
|
|
|
|
/*
|
|
|
|
* -- SuperLU routine (version 3.0) --
|
|
|
|
* Univ. of California Berkeley, Xerox Palo Alto Research Center,
|
|
|
|
* and Lawrence Berkeley National Lab.
|
|
|
|
* October 15, 2003
|
|
|
|
*
|
|
|
|
*/
|
|
|
|
|
|
|
|
#ifdef Have_SLU_
|
|
|
|
#include "slu_sdefs.h"
|
|
|
|
|
|
|
|
#define HANDLE_SIZE 8
|
|
|
|
|
|
|
|
typedef struct {
|
|
|
|
SuperMatrix *L;
|
|
|
|
SuperMatrix *U;
|
|
|
|
int *perm_c;
|
|
|
|
int *perm_r;
|
|
|
|
} factors_t;
|
|
|
|
|
|
|
|
|
|
|
|
#else
|
|
|
|
|
|
|
|
#include <stdio.h>
|
|
|
|
|
|
|
|
#endif
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
int mld_sslu_fact(int n, int nnz, float *values,
|
|
|
|
int *rowptr, int *colind, void **f_factors)
|
|
|
|
{
|
|
|
|
/*
|
|
|
|
* This routine can be called from Fortran.
|
|
|
|
* performs LU decomposition.
|
|
|
|
*
|
|
|
|
* f_factors (input/output)
|
|
|
|
* On output contains the pointer pointing to
|
|
|
|
* the structure of the factored matrices.
|
|
|
|
*
|
|
|
|
*/
|
|
|
|
|
|
|
|
#ifdef Have_SLU_
|
|
|
|
SuperMatrix A, AC;
|
|
|
|
SuperMatrix *L, *U;
|
|
|
|
int *perm_r; /* row permutations from partial pivoting */
|
|
|
|
int *perm_c; /* column permutation vector */
|
|
|
|
int *etree; /* column elimination tree */
|
|
|
|
SCformat *Lstore;
|
|
|
|
NCformat *Ustore;
|
|
|
|
int i, panel_size, permc_spec, relax;
|
|
|
|
trans_t trans;
|
|
|
|
mem_usage_t mem_usage;
|
|
|
|
superlu_options_t options;
|
|
|
|
SuperLUStat_t stat;
|
|
|
|
factors_t *LUfactors;
|
|
|
|
int info;
|
|
|
|
|
|
|
|
trans = NOTRANS;
|
|
|
|
|
|
|
|
|
|
|
|
/* Set the default input options. */
|
|
|
|
set_default_options(&options);
|
|
|
|
|
|
|
|
/* Initialize the statistics variables. */
|
|
|
|
StatInit(&stat);
|
|
|
|
|
|
|
|
sCreate_CompRow_Matrix(&A, n, n, nnz, values, colind, rowptr,
|
|
|
|
SLU_NR, SLU_S, SLU_GE);
|
|
|
|
L = (SuperMatrix *) SUPERLU_MALLOC( sizeof(SuperMatrix) );
|
|
|
|
U = (SuperMatrix *) SUPERLU_MALLOC( sizeof(SuperMatrix) );
|
|
|
|
if ( !(perm_r = intMalloc(n)) ) ABORT("Malloc fails for perm_r[].");
|
|
|
|
if ( !(perm_c = intMalloc(n)) ) ABORT("Malloc fails for perm_c[].");
|
|
|
|
if ( !(etree = intMalloc(n)) ) ABORT("Malloc fails for etree[].");
|
|
|
|
|
|
|
|
/*
|
|
|
|
* Get column permutation vector perm_c[], according to permc_spec:
|
|
|
|
* permc_spec = 0: natural ordering
|
|
|
|
* permc_spec = 1: minimum degree on structure of A'*A
|
|
|
|
* permc_spec = 2: minimum degree on structure of A'+A
|
|
|
|
* permc_spec = 3: approximate minimum degree for unsymmetric matrices
|
|
|
|
*/
|
|
|
|
options.ColPerm=2;
|
|
|
|
permc_spec = options.ColPerm;
|
|
|
|
get_perm_c(permc_spec, &A, perm_c);
|
|
|
|
|
|
|
|
sp_preorder(&options, &A, perm_c, etree, &AC);
|
|
|
|
|
|
|
|
panel_size = sp_ienv(1);
|
|
|
|
relax = sp_ienv(2);
|
|
|
|
|
|
|
|
sgstrf(&options, &AC, relax, panel_size,
|
|
|
|
etree, NULL, 0, perm_c, perm_r, L, U, &stat, &info);
|
|
|
|
|
|
|
|
if ( info == 0 ) {
|
|
|
|
Lstore = (SCformat *) L->Store;
|
|
|
|
Ustore = (NCformat *) U->Store;
|
|
|
|
sQuerySpace(L, U, &mem_usage);
|
|
|
|
#if 0
|
|
|
|
printf("No of nonzeros in factor L = %d\n", Lstore->nnz);
|
|
|
|
printf("No of nonzeros in factor U = %d\n", Ustore->nnz);
|
|
|
|
printf("No of nonzeros in L+U = %d\n", Lstore->nnz + Ustore->nnz);
|
|
|
|
printf("L\\U MB %.3f\ttotal MB needed %.3f\n",
|
|
|
|
mem_usage.for_lu/1e6, mem_usage.total_needed/1e6);
|
|
|
|
#endif
|
|
|
|
} else {
|
|
|
|
printf("sgstrf() error returns INFO= %d\n", info);
|
|
|
|
if ( info <= n ) { /* factorization completes */
|
|
|
|
sQuerySpace(L, U, &mem_usage);
|
|
|
|
printf("L\\U MB %.3f\ttotal MB needed %.3f\n",
|
|
|
|
mem_usage.for_lu/1e6, mem_usage.total_needed/1e6);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
/* Save the LU factors in the factors handle */
|
|
|
|
LUfactors = (factors_t*) SUPERLU_MALLOC(sizeof(factors_t));
|
|
|
|
LUfactors->L = L;
|
|
|
|
LUfactors->U = U;
|
|
|
|
LUfactors->perm_c = perm_c;
|
|
|
|
LUfactors->perm_r = perm_r;
|
|
|
|
*f_factors = (void *) LUfactors;
|
|
|
|
|
|
|
|
/* Free un-wanted storage */
|
|
|
|
SUPERLU_FREE(etree);
|
|
|
|
Destroy_SuperMatrix_Store(&A);
|
|
|
|
Destroy_CompCol_Permuted(&AC);
|
|
|
|
StatFree(&stat);
|
|
|
|
return(info);
|
|
|
|
#else
|
|
|
|
fprintf(stderr," SLU Not Configured, fix make.inc and recompile\n");
|
|
|
|
return(-1);
|
|
|
|
#endif
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
int mld_sslu_solve(int itrans, int n, int nrhs, float *b, int ldb,
|
|
|
|
void *f_factors)
|
|
|
|
{
|
|
|
|
/*
|
|
|
|
* This routine can be called from Fortran.
|
|
|
|
* performs triangular solve
|
|
|
|
*
|
|
|
|
*/
|
|
|
|
int info;
|
|
|
|
#ifdef Have_SLU_
|
|
|
|
SuperMatrix B;
|
|
|
|
SuperMatrix *L, *U;
|
|
|
|
int *perm_r; /* row permutations from partial pivoting */
|
|
|
|
int *perm_c; /* column permutation vector */
|
|
|
|
int *etree; /* column elimination tree */
|
|
|
|
SCformat *Lstore;
|
|
|
|
NCformat *Ustore;
|
|
|
|
int i, panel_size, permc_spec, relax;
|
|
|
|
trans_t trans;
|
|
|
|
SuperLUStat_t stat;
|
|
|
|
factors_t *LUfactors;
|
|
|
|
|
|
|
|
if (itrans == 0) {
|
|
|
|
trans = NOTRANS;
|
|
|
|
} else if (itrans ==1) {
|
|
|
|
trans = TRANS;
|
|
|
|
} else if (itrans ==2) {
|
|
|
|
trans = CONJ;
|
|
|
|
} else {
|
|
|
|
trans = NOTRANS;
|
|
|
|
}
|
|
|
|
/* Initialize the statistics variables. */
|
|
|
|
StatInit(&stat);
|
|
|
|
|
|
|
|
/* Extract the LU factors in the factors handle */
|
|
|
|
LUfactors = (factors_t*) f_factors;
|
|
|
|
L = LUfactors->L;
|
|
|
|
U = LUfactors->U;
|
|
|
|
perm_c = LUfactors->perm_c;
|
|
|
|
perm_r = LUfactors->perm_r;
|
|
|
|
|
|
|
|
sCreate_Dense_Matrix(&B, n, nrhs, b, ldb, SLU_DN, SLU_S, SLU_GE);
|
|
|
|
/* Solve the system A*X=B, overwriting B with X. */
|
|
|
|
sgstrs (trans, L, U, perm_c, perm_r, &B, &stat, &info);
|
|
|
|
|
|
|
|
Destroy_SuperMatrix_Store(&B);
|
|
|
|
StatFree(&stat);
|
|
|
|
#else
|
|
|
|
fprintf(stderr," SLU Not Configured, fix make.inc and recompile\n");
|
|
|
|
info=-1;
|
|
|
|
#endif
|
|
|
|
return(info);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
int mld_sslu_free(void *f_factors)
|
|
|
|
{
|
|
|
|
/*
|
|
|
|
* This routine can be called from Fortran.
|
|
|
|
*
|
|
|
|
* free all storage in the end
|
|
|
|
*
|
|
|
|
*/
|
|
|
|
#ifdef Have_SLU_
|
|
|
|
factors_t *LUfactors;
|
|
|
|
|
|
|
|
/* Free the LU factors in the factors handle */
|
|
|
|
LUfactors = (factors_t*) f_factors;
|
|
|
|
if (LUfactors != NULL) {
|
|
|
|
SUPERLU_FREE (LUfactors->perm_r);
|
|
|
|
SUPERLU_FREE (LUfactors->perm_c);
|
|
|
|
Destroy_SuperNode_Matrix(LUfactors->L);
|
|
|
|
Destroy_CompCol_Matrix(LUfactors->U);
|
|
|
|
SUPERLU_FREE (LUfactors->L);
|
|
|
|
SUPERLU_FREE (LUfactors->U);
|
|
|
|
SUPERLU_FREE (LUfactors);
|
|
|
|
}
|
|
|
|
return(0);
|
|
|
|
#else
|
|
|
|
fprintf(stderr," SLU Not Configured, fix make.inc and recompile\n");
|
|
|
|
return(-1);
|
|
|
|
#endif
|
|
|
|
}
|
|
|
|
|
|
|
|
|