You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
355 lines
11 KiB
355 lines
11 KiB
/* -*- c++ -*- (enables emacs c++ mode) */
|
|
/*===========================================================================
|
|
|
|
Copyright (C) 2003-2015 Yves Renard, Julien Pommier
|
|
|
|
This file is a part of GETFEM++
|
|
|
|
Getfem++ 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 along with the GCC Runtime Library
|
|
Exception either version 3.1 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 Lesser General Public
|
|
License and GCC Runtime Library Exception for more details.
|
|
You should have received a copy of the GNU Lesser General Public License
|
|
along with this program; if not, write to the Free Software Foundation,
|
|
Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA.
|
|
|
|
As a special exception, you may use this file as it is a part of a free
|
|
software library without restriction. Specifically, if other files
|
|
instantiate templates or use macros or inline functions from this file,
|
|
or you compile this file and link it with other files to produce an
|
|
executable, this file does not by itself cause the resulting executable
|
|
to be covered by the GNU Lesser General Public License. This exception
|
|
does not however invalidate any other reasons why the executable file
|
|
might be covered by the GNU Lesser General Public License.
|
|
|
|
===========================================================================*/
|
|
|
|
/**@file gmm_MUMPS_interface.h
|
|
@author Yves Renard <Yves.Renard@insa-lyon.fr>,
|
|
@author Julien Pommier <Julien.Pommier@insa-toulouse.fr>
|
|
@date December 8, 2005.
|
|
@brief Interface with MUMPS (LU direct solver for sparse matrices).
|
|
*/
|
|
#if defined(GMM_USES_MUMPS) || defined(HAVE_DMUMPS_C_H)
|
|
|
|
#ifndef GMM_MUMPS_INTERFACE_H
|
|
#define GMM_MUMPS_INTERFACE_H
|
|
|
|
#include "gmm_kernel.h"
|
|
|
|
|
|
extern "C" {
|
|
|
|
#include <smumps_c.h>
|
|
#undef F_INT
|
|
#undef F_DOUBLE
|
|
#undef F_DOUBLE2
|
|
#include <dmumps_c.h>
|
|
#undef F_INT
|
|
#undef F_DOUBLE
|
|
#undef F_DOUBLE2
|
|
#include <cmumps_c.h>
|
|
#undef F_INT
|
|
#undef F_DOUBLE
|
|
#undef F_DOUBLE2
|
|
#include <zmumps_c.h>
|
|
#undef F_INT
|
|
#undef F_DOUBLE
|
|
#undef F_DOUBLE2
|
|
|
|
}
|
|
|
|
namespace gmm {
|
|
|
|
#define ICNTL(I) icntl[(I)-1]
|
|
#define INFO(I) info[(I)-1]
|
|
#define INFOG(I) infog[(I)-1]
|
|
#define RINFOG(I) rinfog[(I)-1]
|
|
|
|
template <typename T> struct ij_sparse_matrix {
|
|
std::vector<int> irn;
|
|
std::vector<int> jcn;
|
|
std::vector<T> a;
|
|
bool sym;
|
|
|
|
template <typename L> void store(const L& l, size_type i) {
|
|
typename linalg_traits<L>::const_iterator it = vect_const_begin(l),
|
|
ite = vect_const_end(l);
|
|
for (; it != ite; ++it) {
|
|
int ir = (int)i + 1, jc = (int)it.index() + 1;
|
|
if (*it != T(0) && (!sym || ir >= jc))
|
|
{ irn.push_back(ir); jcn.push_back(jc); a.push_back(*it); }
|
|
}
|
|
}
|
|
|
|
template <typename L> void build_from(const L& l, row_major) {
|
|
for (size_type i = 0; i < mat_nrows(l); ++i)
|
|
store(mat_const_row(l, i), i);
|
|
}
|
|
|
|
template <typename L> void build_from(const L& l, col_major) {
|
|
for (size_type i = 0; i < mat_ncols(l); ++i)
|
|
store(mat_const_col(l, i), i);
|
|
irn.swap(jcn);
|
|
}
|
|
|
|
template <typename L> ij_sparse_matrix(const L& A, bool sym_) {
|
|
size_type nz = nnz(A);
|
|
sym = sym_;
|
|
irn.reserve(nz); jcn.reserve(nz); a.reserve(nz);
|
|
build_from(A, typename principal_orientation_type<typename
|
|
linalg_traits<L>::sub_orientation>::potype());
|
|
}
|
|
};
|
|
|
|
/* ********************************************************************* */
|
|
/* MUMPS solve interface */
|
|
/* ********************************************************************* */
|
|
|
|
template <typename T> struct mumps_interf {};
|
|
|
|
template <> struct mumps_interf<float> {
|
|
typedef SMUMPS_STRUC_C MUMPS_STRUC_C;
|
|
typedef float value_type;
|
|
|
|
static void mumps_c(MUMPS_STRUC_C &id) { smumps_c(&id); }
|
|
};
|
|
|
|
template <> struct mumps_interf<double> {
|
|
typedef DMUMPS_STRUC_C MUMPS_STRUC_C;
|
|
typedef double value_type;
|
|
static void mumps_c(MUMPS_STRUC_C &id) { dmumps_c(&id); }
|
|
};
|
|
|
|
template <> struct mumps_interf<std::complex<float> > {
|
|
typedef CMUMPS_STRUC_C MUMPS_STRUC_C;
|
|
typedef mumps_complex value_type;
|
|
static void mumps_c(MUMPS_STRUC_C &id) { cmumps_c(&id); }
|
|
};
|
|
|
|
template <> struct mumps_interf<std::complex<double> > {
|
|
typedef ZMUMPS_STRUC_C MUMPS_STRUC_C;
|
|
typedef mumps_double_complex value_type;
|
|
static void mumps_c(MUMPS_STRUC_C &id) { zmumps_c(&id); }
|
|
};
|
|
|
|
|
|
template <typename MUMPS_STRUCT>
|
|
static inline bool mumps_error_check(MUMPS_STRUCT &id) {
|
|
if (id.INFO(1) < 0) {
|
|
switch (id.INFO(1)) {
|
|
case -2:
|
|
GMM_ASSERT1(false, "Solve with MUMPS failed: NZ = " << id.INFO(2)
|
|
<< " is out of range");
|
|
case -6 : case -10 :
|
|
GMM_WARNING1("Solve with MUMPS failed: matrix is singular");
|
|
return false;
|
|
case -9:
|
|
GMM_ASSERT1(false, "Solve with MUMPS failed: error "
|
|
<< id.INFO(1) << ", increase ICNTL(14)");
|
|
case -13 :
|
|
GMM_ASSERT1(false, "Solve with MUMPS failed: not enough memory");
|
|
default :
|
|
GMM_ASSERT1(false, "Solve with MUMPS failed with error "
|
|
<< id.INFO(1));
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
|
|
|
|
/** MUMPS solve interface
|
|
* Works only with sparse or skyline matrices
|
|
*/
|
|
template <typename MAT, typename VECTX, typename VECTB>
|
|
bool MUMPS_solve(const MAT &A, const VECTX &X_, const VECTB &B,
|
|
bool sym = false, bool distributed = false) {
|
|
VECTX &X = const_cast<VECTX &>(X_);
|
|
|
|
typedef typename linalg_traits<MAT>::value_type T;
|
|
typedef typename mumps_interf<T>::value_type MUMPS_T;
|
|
GMM_ASSERT2(gmm::mat_nrows(A) == gmm::mat_ncols(A), "Non-square matrix");
|
|
|
|
std::vector<T> rhs(gmm::vect_size(B)); gmm::copy(B, rhs);
|
|
|
|
ij_sparse_matrix<T> AA(A, sym);
|
|
|
|
const int JOB_INIT = -1;
|
|
const int JOB_END = -2;
|
|
const int USE_COMM_WORLD = -987654;
|
|
|
|
typename mumps_interf<T>::MUMPS_STRUC_C id;
|
|
|
|
int rank(0);
|
|
#ifdef GMM_USES_MPI
|
|
MPI_Comm_rank(MPI_COMM_WORLD, &rank);
|
|
#endif
|
|
|
|
id.job = JOB_INIT;
|
|
id.par = 1;
|
|
id.sym = sym ? 2 : 0;
|
|
id.comm_fortran = USE_COMM_WORLD;
|
|
mumps_interf<T>::mumps_c(id);
|
|
|
|
if (rank == 0 || distributed) {
|
|
id.n = int(gmm::mat_nrows(A));
|
|
if (distributed) {
|
|
id.nz_loc = int(AA.irn.size());
|
|
id.irn_loc = &(AA.irn[0]);
|
|
id.jcn_loc = &(AA.jcn[0]);
|
|
id.a_loc = (MUMPS_T*)(&(AA.a[0]));
|
|
} else {
|
|
id.nz = int(AA.irn.size());
|
|
id.irn = &(AA.irn[0]);
|
|
id.jcn = &(AA.jcn[0]);
|
|
id.a = (MUMPS_T*)(&(AA.a[0]));
|
|
}
|
|
if (rank == 0)
|
|
id.rhs = (MUMPS_T*)(&(rhs[0]));
|
|
}
|
|
|
|
id.ICNTL(1) = -1; // output stream for error messages
|
|
id.ICNTL(2) = -1; // output stream for other messages
|
|
id.ICNTL(3) = -1; // output stream for global information
|
|
id.ICNTL(4) = 0; // verbosity level
|
|
|
|
if (distributed)
|
|
id.ICNTL(5) = 0; // assembled input matrix (default)
|
|
|
|
id.ICNTL(14) += 80; /* small boost to the workspace size as we have encountered some problem
|
|
who did not fit in the default settings of mumps..
|
|
by default, ICNTL(14) = 15 or 20
|
|
*/
|
|
//cout << "ICNTL(14): " << id.ICNTL(14) << "\n";
|
|
|
|
if (distributed)
|
|
id.ICNTL(18) = 3; // strategy for distributed input matrix
|
|
|
|
// id.ICNTL(22) = 1; /* enables out-of-core support */
|
|
|
|
id.job = 6;
|
|
mumps_interf<T>::mumps_c(id);
|
|
bool ok = mumps_error_check(id);
|
|
|
|
id.job = JOB_END;
|
|
mumps_interf<T>::mumps_c(id);
|
|
|
|
#ifdef GMM_USES_MPI
|
|
MPI_Bcast(&(rhs[0]),id.n,gmm::mpi_type(T()),0,MPI_COMM_WORLD);
|
|
#endif
|
|
|
|
gmm::copy(rhs, X);
|
|
|
|
return ok;
|
|
|
|
}
|
|
|
|
|
|
|
|
/** MUMPS solve interface for distributed matrices
|
|
* Works only with sparse or skyline matrices
|
|
*/
|
|
template <typename MAT, typename VECTX, typename VECTB>
|
|
bool MUMPS_distributed_matrix_solve(const MAT &A, const VECTX &X_,
|
|
const VECTB &B, bool sym = false) {
|
|
return MUMPS_solve(A, X_, B, sym, true);
|
|
}
|
|
|
|
|
|
|
|
template<typename T>
|
|
inline T real_or_complex(std::complex<T> a) { return a.real(); }
|
|
template<typename T>
|
|
inline T real_or_complex(T &a) { return a; }
|
|
|
|
|
|
/** Evaluate matrix determinant with MUMPS
|
|
* Works only with sparse or skyline matrices
|
|
*/
|
|
template <typename MAT, typename T = typename linalg_traits<MAT>::value_type>
|
|
T MUMPS_determinant(const MAT &A, int &exponent,
|
|
bool sym = false, bool distributed = false) {
|
|
exponent = 0;
|
|
typedef typename mumps_interf<T>::value_type MUMPS_T;
|
|
typedef typename number_traits<T>::magnitude_type R;
|
|
GMM_ASSERT2(gmm::mat_nrows(A) == gmm::mat_ncols(A), "Non-square matrix");
|
|
|
|
ij_sparse_matrix<T> AA(A, sym);
|
|
|
|
const int JOB_INIT = -1;
|
|
const int JOB_END = -2;
|
|
const int USE_COMM_WORLD = -987654;
|
|
|
|
typename mumps_interf<T>::MUMPS_STRUC_C id;
|
|
|
|
int rank(0);
|
|
#ifdef GMM_USES_MPI
|
|
MPI_Comm_rank(MPI_COMM_WORLD, &rank);
|
|
#endif
|
|
|
|
id.job = JOB_INIT;
|
|
id.par = 1;
|
|
id.sym = sym ? 2 : 0;
|
|
id.comm_fortran = USE_COMM_WORLD;
|
|
mumps_interf<T>::mumps_c(id);
|
|
|
|
if (rank == 0 || distributed) {
|
|
id.n = int(gmm::mat_nrows(A));
|
|
if (distributed) {
|
|
id.nz_loc = int(AA.irn.size());
|
|
id.irn_loc = &(AA.irn[0]);
|
|
id.jcn_loc = &(AA.jcn[0]);
|
|
id.a_loc = (MUMPS_T*)(&(AA.a[0]));
|
|
} else {
|
|
id.nz = int(AA.irn.size());
|
|
id.irn = &(AA.irn[0]);
|
|
id.jcn = &(AA.jcn[0]);
|
|
id.a = (MUMPS_T*)(&(AA.a[0]));
|
|
}
|
|
}
|
|
|
|
id.ICNTL(1) = -1; // output stream for error messages
|
|
id.ICNTL(2) = -1; // output stream for other messages
|
|
id.ICNTL(3) = -1; // output stream for global information
|
|
id.ICNTL(4) = 0; // verbosity level
|
|
|
|
if (distributed)
|
|
id.ICNTL(5) = 0; // assembled input matrix (default)
|
|
|
|
// id.ICNTL(14) += 80; // small boost to the workspace size
|
|
|
|
if (distributed)
|
|
id.ICNTL(18) = 3; // strategy for distributed input matrix
|
|
|
|
id.ICNTL(31) = 1; // only factorization, no solution to follow
|
|
id.ICNTL(33) = 1; // request determinant calculation
|
|
|
|
id.job = 4; // abalysis (job=1) + factorization (job=2)
|
|
mumps_interf<T>::mumps_c(id);
|
|
mumps_error_check(id);
|
|
|
|
T det = real_or_complex(std::complex<R>(id.RINFOG(12),id.RINFOG(13)));
|
|
exponent = id.INFOG(34);
|
|
|
|
id.job = JOB_END;
|
|
mumps_interf<T>::mumps_c(id);
|
|
|
|
return det;
|
|
}
|
|
|
|
#undef ICNTL
|
|
#undef INFO
|
|
#undef INFOG
|
|
#undef RINFOG
|
|
|
|
}
|
|
|
|
|
|
#endif // GMM_MUMPS_INTERFACE_H
|
|
|
|
#endif // GMM_USES_MUMPS
|