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1054 lines
35 KiB
1054 lines
35 KiB
6 years ago
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/*
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*
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* Copyright (c) Kresimir Fresl 2003
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*
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* Distributed under the Boost Software License, Version 1.0.
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* (See accompanying file LICENSE_1_0.txt or copy at
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* http://www.boost.org/LICENSE_1_0.txt)
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*
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* Author acknowledges the support of the Faculty of Civil Engineering,
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* University of Zagreb, Croatia.
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*
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*/
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/* for UMFPACK Copyright, License and Availability see umfpack_inc.hpp */
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#ifndef BOOST_NUMERIC_BINDINGS_UMFPACK_HPP
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#define BOOST_NUMERIC_BINDINGS_UMFPACK_HPP
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#include <boost/noncopyable.hpp>
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#include <boost/numeric/bindings/umfpack/umfpack_overloads.hpp>
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#include <boost/numeric/bindings/value_type.hpp>
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#include <boost/numeric/bindings/begin.hpp>
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#include <boost/numeric/bindings/end.hpp>
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#include <boost/numeric/bindings/size.hpp>
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#include <boost/numeric/bindings/data_order.hpp>
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#include <boost/numeric/bindings/index_base.hpp>
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namespace boost { namespace numeric { namespace bindings { namespace umfpack {
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template <typename MatrA>
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void check_umfpack_structure()
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{
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BOOST_STATIC_ASSERT((boost::is_same<
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typename bindings::detail::property_at< MatrA, tag::matrix_type >::type,
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tag::general
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>::value));
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BOOST_STATIC_ASSERT((boost::is_same<
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typename bindings::result_of::data_order<MatrA>::type,
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tag::column_major
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>::value));
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typedef typename bindings::result_of::index_base<MatrA>::type index_b;
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BOOST_STATIC_ASSERT(index_b::value == 0);
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typedef typename bindings::detail::property_at<
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MatrA, tag::data_structure >::type storage_f;
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BOOST_STATIC_ASSERT(
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(boost::is_same<storage_f, tag::compressed_sparse>::value ||
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boost::is_same<storage_f, tag::coordinate_sparse>::value ));
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}
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template <typename T = double>
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struct symbolic_type : private noncopyable {
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void *ptr;
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symbolic_type():ptr(0){}
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~symbolic_type() {
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if (ptr)
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detail::free_symbolic (T(), 0, &ptr);
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}
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void free() {
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if (ptr)
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detail::free_symbolic (T(), 0, &ptr);
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ptr = 0;
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}
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};
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template <typename T>
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void free (symbolic_type<T>& s) { s.free(); }
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template <typename T = double>
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struct numeric_type : private noncopyable {
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void *ptr;
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numeric_type():ptr(0){}
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~numeric_type() {
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if (ptr)
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detail::free_numeric (T(), 0, &ptr);
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}
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void free() {
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if (ptr)
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detail::free_numeric (T(), 0, &ptr);
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ptr = 0;
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}
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};
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template <typename T>
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void free (numeric_type<T>& n) { n.free(); }
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template <typename T = double>
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struct control_type : private noncopyable {
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double ptr[UMFPACK_CONTROL];
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control_type() { detail::defaults (T(), 0, ptr); }
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double operator[] (int i) const { return ptr[i]; }
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double& operator[] (int i) { return ptr[i]; }
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void defaults() { detail::defaults (T(), 0, ptr); }
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};
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template <typename T>
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void defaults (control_type<T>& c) { c.defaults(); }
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template <typename T = double>
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struct info_type : private noncopyable {
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double ptr[UMFPACK_INFO];
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double operator[] (int i) const { return ptr[i]; }
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double& operator[] (int i) { return ptr[i]; }
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};
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/////////////////////////////////////
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// solving system of linear equations
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/////////////////////////////////////
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// symbolic
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/*
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* Given nonzero pattern of a sparse matrix A in column-oriented form,
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* umfpack_*_symbolic performs a column pre-ordering to reduce fill-in
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* (using COLAMD or AMD) and a symbolic factorisation. This is required
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* before the matrix can be numerically factorised with umfpack_*_numeric.
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*/
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namespace detail {
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template <typename MatrA>
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inline
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int symbolic (tag::compressed_sparse,
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MatrA const& A, void **Symbolic,
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double const* Control = 0, double* Info = 0)
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{
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return detail::symbolic (bindings::size_row (A),
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bindings::size_column (A),
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bindings::begin_compressed_index_major (A),
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bindings::begin_index_minor (A),
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bindings::begin_value (A),
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Symbolic, Control, Info);
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}
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template <typename MatrA, typename QVec>
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inline
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int symbolic (tag::compressed_sparse,
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MatrA const& A, QVec const& Qinit, void **Symbolic,
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double const* Control = 0, double* Info = 0)
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{
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#ifdef CHECK_TEST_COVERAGE
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typedef typename MatrA::not_yet_tested i_m_still_here;
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#endif
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return detail::qsymbolic (bindings::size_row (A),
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bindings::size_column (A),
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bindings::begin_compressed_index_major (A),
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bindings::begin_index_minor (A),
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bindings::begin_value (A),
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bindings::begin_value (Qinit),
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Symbolic, Control, Info);
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}
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template <typename MatrA>
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inline
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int symbolic (tag::coordinate_sparse,
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MatrA const& A, void **Symbolic,
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double const* Control = 0, double* Info = 0)
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{
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int n_row = bindings::size_row (A);
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int n_col = bindings::size_column (A);
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int nnz = bindings::end_value (A) - bindings::begin_value (A);
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typedef typename bindings::value_type<MatrA>::type val_t;
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int const* Ti = bindings::begin_index_minor (A);
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int const* Tj = bindings::begin_index_major (A);
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bindings::detail::array<int> Ap (n_col+1);
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if (!Ap.valid()) return UMFPACK_ERROR_out_of_memory;
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bindings::detail::array<int> Ai (nnz);
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if (!Ai.valid()) return UMFPACK_ERROR_out_of_memory;
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int status = detail::triplet_to_col (n_row, n_col, nnz,
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Ti, Tj, static_cast<val_t*> (0),
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Ap.storage(), Ai.storage(),
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static_cast<val_t*> (0), 0);
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if (status != UMFPACK_OK) return status;
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return detail::symbolic (n_row, n_col,
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Ap.storage(), Ai.storage(),
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bindings::begin_value (A),
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Symbolic, Control, Info);
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}
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template <typename MatrA, typename QVec>
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inline
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int symbolic (tag::coordinate_sparse,
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MatrA const& A, QVec const& Qinit, void **Symbolic,
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double const* Control = 0, double* Info = 0)
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{
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#ifdef CHECK_TEST_COVERAGE
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typedef typename MatrA::not_yet_tested i_m_still_here;
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#endif
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int n_row = bindings::size_row (A);
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int n_col = bindings::size_column (A);
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int nnz = bindings::end_value (A) - bindings::begin_value (A);
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typedef typename bindings::value_type<MatrA>::type val_t;
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int const* Ti = bindings::begin_index_minor (A);
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int const* Tj = bindings::begin_index_major (A);
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bindings::detail::array<int> Ap (n_col+1);
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if (!Ap.valid()) return UMFPACK_ERROR_out_of_memory;
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bindings::detail::array<int> Ai (nnz);
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if (!Ai.valid()) return UMFPACK_ERROR_out_of_memory;
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int status = detail::triplet_to_col (n_row, n_col, nnz,
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Ti, Tj, static_cast<val_t*> (0),
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Ap.storage(), Ai.storage(),
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static_cast<val_t*> (0), 0);
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if (status != UMFPACK_OK) return status;
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return detail::qsymbolic (n_row, n_col,
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Ap.storage(), Ai.storage(),
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bindings::begin_value (A),
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bindings::begin_value (Qinit),
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Symbolic, Control, Info);
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}
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} // detail
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template <typename MatrA>
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inline
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int symbolic (MatrA const& A,
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symbolic_type<
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typename bindings::value_type<MatrA>::type
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>& Symbolic,
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double const* Control = 0, double* Info = 0)
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{
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#ifndef BOOST_NUMERIC_BINDINGS_NO_STRUCTURE_CHECK
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check_umfpack_structure<MatrA>();
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#endif
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typedef typename bindings::detail::property_at<
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MatrA, tag::data_structure >::type storage_f;
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return detail::symbolic (storage_f(), A, &Symbolic.ptr, Control, Info);
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}
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template <typename MatrA>
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inline
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int symbolic (MatrA const& A,
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symbolic_type<
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typename bindings::value_type<MatrA>::type
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>& Symbolic,
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control_type<
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typename bindings::value_type<MatrA>::type
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> const& Control,
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info_type<
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typename bindings::value_type<MatrA>::type
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>& Info)
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{
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return symbolic (A, Symbolic, Control.ptr, Info.ptr);
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}
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template <typename MatrA>
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inline
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int symbolic (MatrA const& A,
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symbolic_type<
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typename bindings::value_type<MatrA>::type
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>& Symbolic,
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control_type<
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typename bindings::value_type<MatrA>::type
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> const& Control)
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{
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return symbolic (A, Symbolic, Control.ptr);
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}
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template <typename MatrA, typename QVec>
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inline
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int symbolic (MatrA const& A, QVec const& Qinit,
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symbolic_type<
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typename bindings::value_type<MatrA>::type
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>& Symbolic,
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double const* Control = 0, double* Info = 0)
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{
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#ifdef CHECK_TEST_COVERAGE
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typedef typename MatrA::not_yet_tested i_m_still_here;
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#endif
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#ifndef BOOST_NUMERIC_BINDINGS_NO_STRUCTURE_CHECK
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check_umfpack_structure<MatrA>();
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#endif
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typedef typename bindings::detail::property_at<
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MatrA, tag::data_structure >::type storage_f;
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assert (bindings::size_column (A) == bindings::size (Qinit));
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return detail::symbolic (storage_f(), A, Qinit,
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&Symbolic.ptr, Control, Info);
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}
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template <typename MatrA, typename QVec>
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inline
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int symbolic (MatrA const& A, QVec const& Qinit,
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symbolic_type<
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typename bindings::value_type<MatrA>::type
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>& Symbolic,
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control_type<
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typename bindings::value_type<MatrA>::type
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> const& Control,
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info_type<
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typename bindings::value_type<MatrA>::type
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>& Info)
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{
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return symbolic (A, Qinit, Symbolic, Control.ptr, Info.ptr);
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}
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template <typename MatrA, typename QVec>
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inline
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int symbolic (MatrA const& A, QVec const& Qinit,
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symbolic_type<
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typename bindings::value_type<MatrA>::type
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>& Symbolic,
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control_type<
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typename bindings::value_type<MatrA>::type
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> const& Control)
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{
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return symbolic (A, Qinit, Symbolic, Control.ptr);
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}
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|
||
|
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// numeric
|
||
|
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/*
|
||
|
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* Given a sparse matrix A in column-oriented form, and a symbolic analysis
|
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* computed by umfpack_*_*symbolic, the umfpack_*_numeric routine performs
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* the numerical factorisation, PAQ=LU, PRAQ=LU, or P(R\A)Q=LU, where P
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* and Q are permutation matrices (represented as permutation vectors),
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* R is the row scaling, L is unit-lower triangular, and U is upper
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* triangular. This is required before the system Ax=b (or other related
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* linear systems) can be solved.
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*/
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namespace detail {
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|
|
|
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template <typename MatrA>
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inline
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||
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int numeric (tag::compressed_sparse, MatrA const& A,
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void *Symbolic, void** Numeric,
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double const* Control = 0, double* Info = 0)
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{
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return detail::numeric (bindings::size_row (A),
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bindings::size_column (A),
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bindings::begin_compressed_index_major (A),
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bindings::begin_index_minor (A),
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bindings::begin_value (A),
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Symbolic, Numeric, Control, Info);
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}
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|
|
|
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template <typename MatrA>
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inline
|
||
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int numeric (tag::coordinate_sparse, MatrA const& A,
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void *Symbolic, void** Numeric,
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||
|
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double const* Control = 0, double* Info = 0)
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||
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{
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int n_row = bindings::size_row (A);
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int n_col = bindings::size_column (A);
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int nnz = bindings::end_value (A) - bindings::begin_value (A);
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typedef typename bindings::value_type<MatrA>::type val_t;
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int const* Ti = bindings::begin_index_minor (A);
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int const* Tj = bindings::begin_index_major (A);
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bindings::detail::array<int> Ap (n_col+1);
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||
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if (!Ap.valid()) return UMFPACK_ERROR_out_of_memory;
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||
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bindings::detail::array<int> Ai (nnz);
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|
|
if (!Ai.valid()) return UMFPACK_ERROR_out_of_memory;
|
||
|
|
|
||
|
|
int status = detail::triplet_to_col (n_row, n_col, nnz,
|
||
|
|
Ti, Tj, static_cast<val_t*> (0),
|
||
|
|
Ap.storage(), Ai.storage(),
|
||
|
|
static_cast<val_t*> (0), 0);
|
||
|
|
if (status != UMFPACK_OK) return status;
|
||
|
|
|
||
|
|
return detail::numeric (n_row, n_col,
|
||
|
|
Ap.storage(), Ai.storage(),
|
||
|
|
bindings::begin_value (A),
|
||
|
|
Symbolic, Numeric, Control, Info);
|
||
|
|
}
|
||
|
|
|
||
|
|
} // detail
|
||
|
|
|
||
|
|
template <typename MatrA>
|
||
|
|
inline
|
||
|
|
int numeric (MatrA const& A,
|
||
|
|
symbolic_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
> const& Symbolic,
|
||
|
|
numeric_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
>& Numeric,
|
||
|
|
double const* Control = 0, double* Info = 0)
|
||
|
|
{
|
||
|
|
#ifndef BOOST_NUMERIC_BINDINGS_NO_STRUCTURE_CHECK
|
||
|
|
check_umfpack_structure<MatrA>();
|
||
|
|
#endif
|
||
|
|
typedef typename bindings::detail::property_at<
|
||
|
|
MatrA, tag::data_structure >::type storage_f;
|
||
|
|
|
||
|
|
return detail::numeric (storage_f(), A,
|
||
|
|
Symbolic.ptr, &Numeric.ptr, Control, Info);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename MatrA>
|
||
|
|
inline
|
||
|
|
int numeric (MatrA const& A,
|
||
|
|
symbolic_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
> const& Symbolic,
|
||
|
|
numeric_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
>& Numeric,
|
||
|
|
control_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
> const& Control,
|
||
|
|
info_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
>& Info)
|
||
|
|
|
||
|
|
{
|
||
|
|
// g++ (3.2) is unable to distinguish
|
||
|
|
// function numeric() and namespace boost::numeric ;o)
|
||
|
|
return umfpack::numeric (A, Symbolic, Numeric, Control.ptr, Info.ptr);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename MatrA>
|
||
|
|
inline
|
||
|
|
int numeric (MatrA const& A,
|
||
|
|
symbolic_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
> const& Symbolic,
|
||
|
|
numeric_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
>& Numeric,
|
||
|
|
control_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
> const& Control)
|
||
|
|
{
|
||
|
|
return umfpack::numeric (A, Symbolic, Numeric, Control.ptr);
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
// factor
|
||
|
|
/*
|
||
|
|
* symbolic and numeric
|
||
|
|
*/
|
||
|
|
namespace detail {
|
||
|
|
|
||
|
|
template <typename MatrA>
|
||
|
|
inline
|
||
|
|
int factor (tag::compressed_sparse, MatrA const& A,
|
||
|
|
void** Numeric, double const* Control = 0, double* Info = 0)
|
||
|
|
{
|
||
|
|
#ifdef CHECK_TEST_COVERAGE
|
||
|
|
typedef typename MatrA::not_yet_tested i_m_still_here;
|
||
|
|
#endif
|
||
|
|
symbolic_type<typename bindings::value_type<MatrA>::type>
|
||
|
|
Symbolic;
|
||
|
|
|
||
|
|
int status;
|
||
|
|
status = detail::symbolic (bindings::size_row (A),
|
||
|
|
bindings::size_column (A),
|
||
|
|
bindings::begin_compressed_index_major (A),
|
||
|
|
bindings::begin_index_minor (A),
|
||
|
|
bindings::begin_value (A),
|
||
|
|
&Symbolic.ptr, Control, Info);
|
||
|
|
if (status != UMFPACK_OK) return status;
|
||
|
|
|
||
|
|
return detail::numeric (bindings::size_row (A),
|
||
|
|
bindings::size_column (A),
|
||
|
|
bindings::begin_compressed_index_major (A),
|
||
|
|
bindings::begin_index_minor (A),
|
||
|
|
bindings::begin_value (A),
|
||
|
|
Symbolic.ptr, Numeric, Control, Info);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename MatrA>
|
||
|
|
inline
|
||
|
|
int factor (tag::coordinate_sparse, MatrA const& A,
|
||
|
|
void** Numeric, double const* Control = 0, double* Info = 0)
|
||
|
|
{
|
||
|
|
#ifdef CHECK_TEST_COVERAGE
|
||
|
|
typedef typename MatrA::not_yet_tested i_m_still_here;
|
||
|
|
#endif
|
||
|
|
int n_row = bindings::size_row (A);
|
||
|
|
int n_col = bindings::size_column (A);
|
||
|
|
int nnz = bindings::end_value (A) - bindings::begin_value (A);
|
||
|
|
|
||
|
|
typedef typename bindings::value_type<MatrA>::type val_t;
|
||
|
|
|
||
|
|
int const* Ti = bindings::begin_index_minor (A);
|
||
|
|
int const* Tj = bindings::begin_index_major (A);
|
||
|
|
bindings::detail::array<int> Ap (n_col+1);
|
||
|
|
if (!Ap.valid()) return UMFPACK_ERROR_out_of_memory;
|
||
|
|
bindings::detail::array<int> Ai (nnz);
|
||
|
|
if (!Ai.valid()) return UMFPACK_ERROR_out_of_memory;
|
||
|
|
|
||
|
|
int status = detail::triplet_to_col (n_row, n_col, nnz,
|
||
|
|
Ti, Tj, static_cast<val_t*> (0),
|
||
|
|
Ap.storage(), Ai.storage(),
|
||
|
|
static_cast<val_t*> (0), 0);
|
||
|
|
if (status != UMFPACK_OK) return status;
|
||
|
|
|
||
|
|
symbolic_type<typename bindings::value_type<MatrA>::type>
|
||
|
|
Symbolic;
|
||
|
|
|
||
|
|
status = detail::symbolic (n_row, n_col,
|
||
|
|
Ap.storage(), Ai.storage(),
|
||
|
|
bindings::begin_value (A),
|
||
|
|
&Symbolic.ptr, Control, Info);
|
||
|
|
if (status != UMFPACK_OK) return status;
|
||
|
|
|
||
|
|
return detail::numeric (n_row, n_col,
|
||
|
|
Ap.storage(), Ai.storage(),
|
||
|
|
bindings::begin_value (A),
|
||
|
|
Symbolic.ptr, Numeric, Control, Info);
|
||
|
|
}
|
||
|
|
|
||
|
|
} // detail
|
||
|
|
|
||
|
|
template <typename MatrA>
|
||
|
|
inline
|
||
|
|
int factor (MatrA const& A,
|
||
|
|
numeric_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
>& Numeric,
|
||
|
|
double const* Control = 0, double* Info = 0)
|
||
|
|
{
|
||
|
|
#ifdef CHECK_TEST_COVERAGE
|
||
|
|
typedef typename MatrA::not_yet_tested i_m_still_here;
|
||
|
|
#endif
|
||
|
|
#ifndef BOOST_NUMERIC_BINDINGS_NO_STRUCTURE_CHECK
|
||
|
|
check_umfpack_structure<MatrA>();
|
||
|
|
#endif
|
||
|
|
typedef typename bindings::detail::property_at<
|
||
|
|
MatrA, tag::data_structure >::type storage_f;
|
||
|
|
|
||
|
|
return detail::factor (storage_f(), A, &Numeric.ptr, Control, Info);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename MatrA>
|
||
|
|
inline
|
||
|
|
int factor (MatrA const& A,
|
||
|
|
numeric_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
>& Numeric,
|
||
|
|
control_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
> const& Control,
|
||
|
|
info_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
>& Info)
|
||
|
|
{
|
||
|
|
return factor (A, Numeric, Control.ptr, Info.ptr);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename MatrA>
|
||
|
|
inline
|
||
|
|
int factor (MatrA const& A,
|
||
|
|
numeric_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
>& Numeric,
|
||
|
|
control_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
> const& Control)
|
||
|
|
{
|
||
|
|
return factor (A, Numeric, Control.ptr);
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
// solve
|
||
|
|
/*
|
||
|
|
* Given LU factors computed by umfpack_*_numeric and the right-hand-side,
|
||
|
|
* B, solve a linear system for the solution X. Iterative refinement is
|
||
|
|
* optionally performed. Only square systems are handled.
|
||
|
|
*/
|
||
|
|
namespace detail {
|
||
|
|
|
||
|
|
template <typename MatrA, typename VecX, typename VecB>
|
||
|
|
inline
|
||
|
|
int solve (tag::compressed_sparse, int sys,
|
||
|
|
MatrA const& A, VecX& X, VecB const& B,
|
||
|
|
void *Numeric, double const* Control = 0, double* Info = 0)
|
||
|
|
{
|
||
|
|
return detail::solve (sys, bindings::size_row (A),
|
||
|
|
bindings::begin_compressed_index_major (A),
|
||
|
|
bindings::begin_index_minor (A),
|
||
|
|
bindings::begin_value (A),
|
||
|
|
bindings::begin_value (X),
|
||
|
|
bindings::begin_value (B),
|
||
|
|
Numeric, Control, Info);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename MatrA, typename VecX, typename VecB>
|
||
|
|
inline
|
||
|
|
int solve (tag::coordinate_sparse, int sys,
|
||
|
|
MatrA const& A, VecX& X, VecB const& B,
|
||
|
|
void *Numeric, double const* Control = 0, double* Info = 0)
|
||
|
|
{
|
||
|
|
|
||
|
|
int n = bindings::size_row (A);
|
||
|
|
int nnz = bindings::end_value (A) - bindings::begin_value (A);
|
||
|
|
|
||
|
|
typedef typename bindings::value_type<MatrA>::type val_t;
|
||
|
|
|
||
|
|
int const* Ti = bindings::begin_index_minor (A);
|
||
|
|
int const* Tj = bindings::begin_index_major (A);
|
||
|
|
bindings::detail::array<int> Ap (n+1);
|
||
|
|
if (!Ap.valid()) return UMFPACK_ERROR_out_of_memory;
|
||
|
|
bindings::detail::array<int> Ai (nnz);
|
||
|
|
if (!Ai.valid()) return UMFPACK_ERROR_out_of_memory;
|
||
|
|
|
||
|
|
int status = detail::triplet_to_col (n, n, nnz,
|
||
|
|
Ti, Tj, static_cast<val_t*> (0),
|
||
|
|
Ap.storage(), Ai.storage(),
|
||
|
|
static_cast<val_t*> (0), 0);
|
||
|
|
if (status != UMFPACK_OK) return status;
|
||
|
|
|
||
|
|
return detail::solve (sys, n, Ap.storage(), Ai.storage(),
|
||
|
|
bindings::begin_value (A),
|
||
|
|
bindings::begin_value (X),
|
||
|
|
bindings::begin_value (B),
|
||
|
|
Numeric, Control, Info);
|
||
|
|
}
|
||
|
|
|
||
|
|
} // detail
|
||
|
|
|
||
|
|
template <typename MatrA, typename VecX, typename VecB>
|
||
|
|
inline
|
||
|
|
int solve (int sys, MatrA const& A, VecX& X, VecB const& B,
|
||
|
|
numeric_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
> const& Numeric,
|
||
|
|
double const* Control = 0, double* Info = 0)
|
||
|
|
{
|
||
|
|
#ifndef BOOST_NUMERIC_BINDINGS_NO_STRUCTURE_CHECK
|
||
|
|
check_umfpack_structure<MatrA>();
|
||
|
|
#endif
|
||
|
|
typedef typename bindings::detail::property_at<
|
||
|
|
MatrA, tag::data_structure >::type storage_f;
|
||
|
|
|
||
|
|
assert (bindings::size_row (A) == bindings::size_row (A));
|
||
|
|
assert (bindings::size_column (A) == bindings::size (X));
|
||
|
|
assert (bindings::size_column (A) == bindings::size (B));
|
||
|
|
|
||
|
|
return detail::solve (storage_f(), sys, A, X, B,
|
||
|
|
Numeric.ptr, Control, Info);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename MatrA, typename VecX, typename VecB>
|
||
|
|
inline
|
||
|
|
int solve (int sys, MatrA const& A, VecX& X, VecB const& B,
|
||
|
|
numeric_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
> const& Numeric,
|
||
|
|
control_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
> const& Control,
|
||
|
|
info_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
>& Info)
|
||
|
|
{
|
||
|
|
return solve (sys, A, X, B, Numeric, Control.ptr, Info.ptr);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename MatrA, typename VecX, typename VecB>
|
||
|
|
inline
|
||
|
|
int solve (int sys, MatrA const& A, VecX& X, VecB const& B,
|
||
|
|
numeric_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
> const& Numeric,
|
||
|
|
control_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
> const& Control)
|
||
|
|
{
|
||
|
|
return solve (sys, A, X, B, Numeric, Control.ptr);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename MatrA, typename VecX, typename VecB>
|
||
|
|
inline
|
||
|
|
int solve (MatrA const& A, VecX& X, VecB const& B,
|
||
|
|
numeric_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
> const& Numeric,
|
||
|
|
double const* Control = 0, double* Info = 0)
|
||
|
|
{
|
||
|
|
return solve (UMFPACK_A, A, X, B, Numeric, Control, Info);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename MatrA, typename VecX, typename VecB>
|
||
|
|
inline
|
||
|
|
int solve (MatrA const& A, VecX& X, VecB const& B,
|
||
|
|
numeric_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
> const& Numeric,
|
||
|
|
control_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
> const& Control,
|
||
|
|
info_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
>& Info)
|
||
|
|
{
|
||
|
|
return solve (UMFPACK_A, A, X, B, Numeric,
|
||
|
|
Control.ptr, Info.ptr);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename MatrA, typename VecX, typename VecB>
|
||
|
|
inline
|
||
|
|
int solve (MatrA const& A, VecX& X, VecB const& B,
|
||
|
|
numeric_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
> const& Numeric,
|
||
|
|
control_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
> const& Control)
|
||
|
|
{
|
||
|
|
return solve (UMFPACK_A, A, X, B, Numeric, Control.ptr);
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
// umf_solve
|
||
|
|
/*
|
||
|
|
* symbolic, numeric and solve
|
||
|
|
*/
|
||
|
|
namespace detail {
|
||
|
|
|
||
|
|
template <typename MatrA, typename VecX, typename VecB>
|
||
|
|
inline
|
||
|
|
int umf_solve (tag::compressed_sparse,
|
||
|
|
MatrA const& A, VecX& X, VecB const& B,
|
||
|
|
double const* Control = 0, double* Info = 0)
|
||
|
|
{
|
||
|
|
#ifdef CHECK_TEST_COVERAGE
|
||
|
|
typedef typename MatrA::not_yet_tested i_m_still_here;
|
||
|
|
#endif
|
||
|
|
symbolic_type<typename bindings::value_type<MatrA>::type>
|
||
|
|
Symbolic;
|
||
|
|
numeric_type<typename bindings::value_type<MatrA>::type>
|
||
|
|
Numeric;
|
||
|
|
|
||
|
|
int status;
|
||
|
|
status = detail::symbolic (bindings::size_row (A),
|
||
|
|
bindings::size_column (A),
|
||
|
|
bindings::begin_compressed_index_major (A),
|
||
|
|
bindings::begin_index_minor (A),
|
||
|
|
bindings::begin_value (A),
|
||
|
|
&Symbolic.ptr, Control, Info);
|
||
|
|
if (status != UMFPACK_OK) return status;
|
||
|
|
|
||
|
|
status = detail::numeric (bindings::size_row (A),
|
||
|
|
bindings::size_column (A),
|
||
|
|
bindings::begin_compressed_index_major (A),
|
||
|
|
bindings::begin_index_minor (A),
|
||
|
|
bindings::begin_value (A),
|
||
|
|
Symbolic.ptr, &Numeric.ptr, Control, Info);
|
||
|
|
if (status != UMFPACK_OK) return status;
|
||
|
|
|
||
|
|
return detail::solve (UMFPACK_A, bindings::size_row (A),
|
||
|
|
bindings::begin_compressed_index_major (A),
|
||
|
|
bindings::begin_index_minor (A),
|
||
|
|
bindings::begin_value (A),
|
||
|
|
bindings::begin_value (X),
|
||
|
|
bindings::begin_value (B),
|
||
|
|
Numeric.ptr, Control, Info);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename MatrA, typename VecX, typename VecB>
|
||
|
|
inline
|
||
|
|
int umf_solve (tag::coordinate_sparse,
|
||
|
|
MatrA const& A, VecX& X, VecB const& B,
|
||
|
|
double const* Control = 0, double* Info = 0)
|
||
|
|
{
|
||
|
|
#ifdef CHECK_TEST_COVERAGE
|
||
|
|
typedef typename MatrAA::not_yet_tested i_m_still_here;
|
||
|
|
#endif
|
||
|
|
int n_row = bindings::size_row (A);
|
||
|
|
int n_col = bindings::size_column (A);
|
||
|
|
int nnz = bindings::end_value (A) - bindings::begin_value (A);
|
||
|
|
|
||
|
|
typedef typename bindings::value_type<MatrA>::type val_t;
|
||
|
|
|
||
|
|
int const* Ti = bindings::begin_index_minor (A);
|
||
|
|
int const* Tj = bindings::begin_index_major (A);
|
||
|
|
bindings::detail::array<int> Ap (n_col+1);
|
||
|
|
if (!Ap.valid()) return UMFPACK_ERROR_out_of_memory;
|
||
|
|
bindings::detail::array<int> Ai (nnz);
|
||
|
|
if (!Ai.valid()) return UMFPACK_ERROR_out_of_memory;
|
||
|
|
|
||
|
|
int status = detail::triplet_to_col (n_row, n_col, nnz,
|
||
|
|
Ti, Tj, static_cast<val_t*> (0),
|
||
|
|
Ap.storage(), Ai.storage(),
|
||
|
|
static_cast<val_t*> (0), 0);
|
||
|
|
if (status != UMFPACK_OK) return status;
|
||
|
|
|
||
|
|
symbolic_type<typename bindings::value_type<MatrA>::type>
|
||
|
|
Symbolic;
|
||
|
|
numeric_type<typename bindings::value_type<MatrA>::type>
|
||
|
|
Numeric;
|
||
|
|
|
||
|
|
status = detail::symbolic (n_row, n_col,
|
||
|
|
Ap.storage(), Ai.storage(),
|
||
|
|
bindings::begin_value (A),
|
||
|
|
&Symbolic.ptr, Control, Info);
|
||
|
|
if (status != UMFPACK_OK) return status;
|
||
|
|
|
||
|
|
status = detail::numeric (n_row, n_col,
|
||
|
|
Ap.storage(), Ai.storage(),
|
||
|
|
bindings::begin_value (A),
|
||
|
|
Symbolic.ptr, &Numeric.ptr, Control, Info);
|
||
|
|
if (status != UMFPACK_OK) return status;
|
||
|
|
|
||
|
|
return detail::solve (UMFPACK_A, n_row, Ap.storage(), Ai.storage(),
|
||
|
|
bindings::begin_value (A),
|
||
|
|
bindings::begin_value (X),
|
||
|
|
bindings::begin_value (B),
|
||
|
|
Numeric.ptr, Control, Info);
|
||
|
|
}
|
||
|
|
|
||
|
|
} // detail
|
||
|
|
|
||
|
|
template <typename MatrA, typename VecX, typename VecB>
|
||
|
|
inline
|
||
|
|
int umf_solve (MatrA const& A, VecX& X, VecB const& B,
|
||
|
|
double const* Control = 0, double* Info = 0)
|
||
|
|
{
|
||
|
|
#ifdef CHECK_TEST_COVERAGE
|
||
|
|
typedef typename MatrA::not_yet_tested i_m_still_here;
|
||
|
|
#endif
|
||
|
|
#ifndef BOOST_NUMERIC_BINDINGS_NO_STRUCTURE_CHECK
|
||
|
|
check_umfpack_structure<MatrA>();
|
||
|
|
#endif
|
||
|
|
typedef typename bindings::detail::property_at<
|
||
|
|
MatrA, tag::data_structure >::type storage_f;
|
||
|
|
|
||
|
|
assert (bindings::size_row (A) == bindings::size_row (A));
|
||
|
|
assert (bindings::size_column (A) == bindings::size (X));
|
||
|
|
assert (bindings::size_column (A) == bindings::size (B));
|
||
|
|
|
||
|
|
return detail::umf_solve (storage_f(), A, X, B, Control, Info);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename MatrA, typename VecX, typename VecB>
|
||
|
|
inline
|
||
|
|
int umf_solve (MatrA const& A, VecX& X, VecB const& B,
|
||
|
|
control_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
> const& Control,
|
||
|
|
info_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
>& Info)
|
||
|
|
{
|
||
|
|
return umf_solve (A, X, B, Control.ptr, Info.ptr);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename MatrA, typename VecX, typename VecB>
|
||
|
|
inline
|
||
|
|
int umf_solve (MatrA const& A, VecX& X, VecB const& B,
|
||
|
|
control_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
> const& Control)
|
||
|
|
{
|
||
|
|
return umf_solve (A, X, B, Control.ptr);
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
///////////////////////
|
||
|
|
// matrix manipulations
|
||
|
|
///////////////////////
|
||
|
|
|
||
|
|
|
||
|
|
// scale
|
||
|
|
|
||
|
|
template <typename VecX, typename VecB>
|
||
|
|
inline
|
||
|
|
int scale (VecX& X, VecB const& B,
|
||
|
|
numeric_type<
|
||
|
|
typename bindings::value_type<VecB>::type
|
||
|
|
> const& Numeric)
|
||
|
|
{
|
||
|
|
return detail::scale (bindings::size (B),
|
||
|
|
bindings::begin_value (X),
|
||
|
|
bindings::begin_value (B),
|
||
|
|
Numeric.ptr);
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
////////////
|
||
|
|
// reporting
|
||
|
|
////////////
|
||
|
|
|
||
|
|
|
||
|
|
// report status
|
||
|
|
|
||
|
|
template <typename T>
|
||
|
|
inline
|
||
|
|
void report_status (control_type<T> const& Control, int status) {
|
||
|
|
detail::report_status (T(), 0, Control.ptr, status);
|
||
|
|
}
|
||
|
|
|
||
|
|
#if 0
|
||
|
|
template <typename T>
|
||
|
|
inline
|
||
|
|
void report_status (int printing_level, int status) {
|
||
|
|
control_type<T> Control;
|
||
|
|
Control[UMFPACK_PRL] = printing_level;
|
||
|
|
detail::report_status (T(), 0, Control.ptr, status);
|
||
|
|
}
|
||
|
|
template <typename T>
|
||
|
|
inline
|
||
|
|
void report_status (int status) {
|
||
|
|
control_type<T> Control;
|
||
|
|
detail::report_status (T(), 0, Control.ptr, status);
|
||
|
|
}
|
||
|
|
#endif
|
||
|
|
|
||
|
|
|
||
|
|
// report control
|
||
|
|
|
||
|
|
template <typename T>
|
||
|
|
inline
|
||
|
|
void report_control (control_type<T> const& Control) {
|
||
|
|
detail::report_control (T(), 0, Control.ptr);
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
// report info
|
||
|
|
|
||
|
|
template <typename T>
|
||
|
|
inline
|
||
|
|
void report_info (control_type<T> const& Control, info_type<T> const& Info) {
|
||
|
|
detail::report_info (T(), 0, Control.ptr, Info.ptr);
|
||
|
|
}
|
||
|
|
|
||
|
|
#if 0
|
||
|
|
template <typename T>
|
||
|
|
inline
|
||
|
|
void report_info (int printing_level, info_type<T> const& Info) {
|
||
|
|
control_type<T> Control;
|
||
|
|
Control[UMFPACK_PRL] = printing_level;
|
||
|
|
detail::report_info (T(), 0, Control.ptr, Info.ptr);
|
||
|
|
}
|
||
|
|
template <typename T>
|
||
|
|
inline
|
||
|
|
void report_info (info_type<T> const& Info) {
|
||
|
|
control_type<T> Control;
|
||
|
|
detail::report_info (T(), 0, Control.ptr, Info.ptr);
|
||
|
|
}
|
||
|
|
#endif
|
||
|
|
|
||
|
|
|
||
|
|
// report matrix (compressed column and coordinate)
|
||
|
|
|
||
|
|
namespace detail {
|
||
|
|
|
||
|
|
template <typename MatrA>
|
||
|
|
inline
|
||
|
|
int report_matrix (tag::compressed_sparse, MatrA const& A,
|
||
|
|
double const* Control)
|
||
|
|
{
|
||
|
|
return detail::report_matrix (bindings::size_row (A),
|
||
|
|
bindings::size_column (A),
|
||
|
|
bindings::begin_compressed_index_major (A),
|
||
|
|
bindings::begin_index_minor (A),
|
||
|
|
bindings::begin_value (A),
|
||
|
|
1, Control);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename MatrA>
|
||
|
|
inline
|
||
|
|
int report_matrix (tag::coordinate_sparse, MatrA const& A,
|
||
|
|
double const* Control)
|
||
|
|
{
|
||
|
|
return detail::report_triplet (bindings::size_row (A),
|
||
|
|
bindings::size_column (A),
|
||
|
|
bindings::end_value (A) - bindings::begin_value (A),
|
||
|
|
bindings::begin_index_major (A),
|
||
|
|
bindings::begin_index_minor (A),
|
||
|
|
bindings::begin_value (A),
|
||
|
|
Control);
|
||
|
|
}
|
||
|
|
|
||
|
|
} // detail
|
||
|
|
|
||
|
|
template <typename MatrA>
|
||
|
|
inline
|
||
|
|
int report_matrix (MatrA const& A,
|
||
|
|
control_type<
|
||
|
|
typename bindings::value_type<MatrA>::type
|
||
|
|
> const& Control)
|
||
|
|
{
|
||
|
|
#ifndef BOOST_NUMERIC_BINDINGS_NO_STRUCTURE_CHECK
|
||
|
|
check_umfpack_structure<MatrA>();
|
||
|
|
#endif
|
||
|
|
typedef typename bindings::detail::property_at<
|
||
|
|
MatrA, tag::data_structure >::type storage_f;
|
||
|
|
|
||
|
|
return detail::report_matrix (storage_f(), A, Control.ptr);
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
// report vector
|
||
|
|
|
||
|
|
template <typename VecX>
|
||
|
|
inline
|
||
|
|
int report_vector (VecX const& X,
|
||
|
|
control_type<
|
||
|
|
typename bindings::value_type<VecX>::type
|
||
|
|
> const& Control)
|
||
|
|
{
|
||
|
|
return detail::report_vector (bindings::size (X),
|
||
|
|
bindings::begin_value (X),
|
||
|
|
Control.ptr);
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
// report numeric
|
||
|
|
|
||
|
|
template <typename T>
|
||
|
|
inline
|
||
|
|
int report_numeric (numeric_type<T> const& Numeric,
|
||
|
|
control_type<T> const& Control)
|
||
|
|
{
|
||
|
|
return detail::report_numeric (T(), 0, Numeric.ptr, Control.ptr);
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
// report symbolic
|
||
|
|
|
||
|
|
template <typename T>
|
||
|
|
inline
|
||
|
|
int report_symbolic (symbolic_type<T> const& Symbolic,
|
||
|
|
control_type<T> const& Control)
|
||
|
|
{
|
||
|
|
return detail::report_symbolic (T(), 0, Symbolic.ptr, Control.ptr);
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
// report permutation vector
|
||
|
|
|
||
|
|
template <typename VecP, typename T>
|
||
|
|
inline
|
||
|
|
int report_permutation (VecP const& Perm, control_type<T> const& Control) {
|
||
|
|
#ifdef CHECK_TEST_COVERAGE
|
||
|
|
typedef typename T::not_yet_tested i_m_still_here;
|
||
|
|
#endif
|
||
|
|
return detail::report_perm (T(), 0,
|
||
|
|
bindings::begin_value (Perm),
|
||
|
|
Control.ptr);
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
}}}}
|
||
|
|
|
||
|
|
#endif // BOOST_NUMERIC_BINDINGS_UMFPACK_HPP
|