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.
525 lines
25 KiB
525 lines
25 KiB
6 years ago
|
//
|
||
|
// Copyright (c) 2002--2010
|
||
|
// Toon Knapen, Karl Meerbergen, Kresimir Fresl,
|
||
|
// Thomas Klimpel and Rutger ter Borg
|
||
|
//
|
||
|
// Distributed under the Boost Software License, Version 1.0.
|
||
|
// (See accompanying file LICENSE_1_0.txt or copy at
|
||
|
// http://www.boost.org/LICENSE_1_0.txt)
|
||
|
//
|
||
|
// THIS FILE IS AUTOMATICALLY GENERATED
|
||
|
// PLEASE DO NOT EDIT!
|
||
|
//
|
||
|
|
||
|
#ifndef BOOST_NUMERIC_BINDINGS_LAPACK_DRIVER_GESVX_HPP
|
||
|
#define BOOST_NUMERIC_BINDINGS_LAPACK_DRIVER_GESVX_HPP
|
||
|
|
||
|
#include <boost/assert.hpp>
|
||
|
#include <boost/numeric/bindings/begin.hpp>
|
||
|
#include <boost/numeric/bindings/data_order.hpp>
|
||
|
#include <boost/numeric/bindings/detail/array.hpp>
|
||
|
#include <boost/numeric/bindings/is_column_major.hpp>
|
||
|
#include <boost/numeric/bindings/is_complex.hpp>
|
||
|
#include <boost/numeric/bindings/is_mutable.hpp>
|
||
|
#include <boost/numeric/bindings/is_real.hpp>
|
||
|
#include <boost/numeric/bindings/lapack/workspace.hpp>
|
||
|
#include <boost/numeric/bindings/remove_imaginary.hpp>
|
||
|
#include <boost/numeric/bindings/size.hpp>
|
||
|
#include <boost/numeric/bindings/stride.hpp>
|
||
|
#include <boost/numeric/bindings/trans_tag.hpp>
|
||
|
#include <boost/numeric/bindings/value_type.hpp>
|
||
|
#include <boost/static_assert.hpp>
|
||
|
#include <boost/type_traits/is_same.hpp>
|
||
|
#include <boost/type_traits/remove_const.hpp>
|
||
|
#include <boost/utility/enable_if.hpp>
|
||
|
|
||
|
//
|
||
|
// The LAPACK-backend for gesvx is the netlib-compatible backend.
|
||
|
//
|
||
|
#include <boost/numeric/bindings/lapack/detail/lapack.h>
|
||
|
#include <boost/numeric/bindings/lapack/detail/lapack_option.hpp>
|
||
|
|
||
|
namespace boost {
|
||
|
namespace numeric {
|
||
|
namespace bindings {
|
||
|
namespace lapack {
|
||
|
|
||
|
//
|
||
|
// The detail namespace contains value-type-overloaded functions that
|
||
|
// dispatch to the appropriate back-end LAPACK-routine.
|
||
|
//
|
||
|
namespace detail {
|
||
|
|
||
|
//
|
||
|
// Overloaded function for dispatching to
|
||
|
// * netlib-compatible LAPACK backend (the default), and
|
||
|
// * float value-type.
|
||
|
//
|
||
|
template< typename Trans >
|
||
|
inline std::ptrdiff_t gesvx( const char fact, const Trans,
|
||
|
const fortran_int_t n, const fortran_int_t nrhs, float* a,
|
||
|
const fortran_int_t lda, float* af, const fortran_int_t ldaf,
|
||
|
fortran_int_t* ipiv, char& equed, float* r, float* c, float* b,
|
||
|
const fortran_int_t ldb, float* x, const fortran_int_t ldx,
|
||
|
float& rcond, float* ferr, float* berr, float* work,
|
||
|
fortran_int_t* iwork ) {
|
||
|
fortran_int_t info(0);
|
||
|
LAPACK_SGESVX( &fact, &lapack_option< Trans >::value, &n, &nrhs, a, &lda,
|
||
|
af, &ldaf, ipiv, &equed, r, c, b, &ldb, x, &ldx, &rcond, ferr,
|
||
|
berr, work, iwork, &info );
|
||
|
return info;
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// Overloaded function for dispatching to
|
||
|
// * netlib-compatible LAPACK backend (the default), and
|
||
|
// * double value-type.
|
||
|
//
|
||
|
template< typename Trans >
|
||
|
inline std::ptrdiff_t gesvx( const char fact, const Trans,
|
||
|
const fortran_int_t n, const fortran_int_t nrhs, double* a,
|
||
|
const fortran_int_t lda, double* af, const fortran_int_t ldaf,
|
||
|
fortran_int_t* ipiv, char& equed, double* r, double* c, double* b,
|
||
|
const fortran_int_t ldb, double* x, const fortran_int_t ldx,
|
||
|
double& rcond, double* ferr, double* berr, double* work,
|
||
|
fortran_int_t* iwork ) {
|
||
|
fortran_int_t info(0);
|
||
|
LAPACK_DGESVX( &fact, &lapack_option< Trans >::value, &n, &nrhs, a, &lda,
|
||
|
af, &ldaf, ipiv, &equed, r, c, b, &ldb, x, &ldx, &rcond, ferr,
|
||
|
berr, work, iwork, &info );
|
||
|
return info;
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// Overloaded function for dispatching to
|
||
|
// * netlib-compatible LAPACK backend (the default), and
|
||
|
// * complex<float> value-type.
|
||
|
//
|
||
|
template< typename Trans >
|
||
|
inline std::ptrdiff_t gesvx( const char fact, const Trans,
|
||
|
const fortran_int_t n, const fortran_int_t nrhs,
|
||
|
std::complex<float>* a, const fortran_int_t lda,
|
||
|
std::complex<float>* af, const fortran_int_t ldaf,
|
||
|
fortran_int_t* ipiv, char& equed, float* r, float* c,
|
||
|
std::complex<float>* b, const fortran_int_t ldb,
|
||
|
std::complex<float>* x, const fortran_int_t ldx, float& rcond,
|
||
|
float* ferr, float* berr, std::complex<float>* work, float* rwork ) {
|
||
|
fortran_int_t info(0);
|
||
|
LAPACK_CGESVX( &fact, &lapack_option< Trans >::value, &n, &nrhs, a, &lda,
|
||
|
af, &ldaf, ipiv, &equed, r, c, b, &ldb, x, &ldx, &rcond, ferr,
|
||
|
berr, work, rwork, &info );
|
||
|
return info;
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// Overloaded function for dispatching to
|
||
|
// * netlib-compatible LAPACK backend (the default), and
|
||
|
// * complex<double> value-type.
|
||
|
//
|
||
|
template< typename Trans >
|
||
|
inline std::ptrdiff_t gesvx( const char fact, const Trans,
|
||
|
const fortran_int_t n, const fortran_int_t nrhs,
|
||
|
std::complex<double>* a, const fortran_int_t lda,
|
||
|
std::complex<double>* af, const fortran_int_t ldaf,
|
||
|
fortran_int_t* ipiv, char& equed, double* r, double* c,
|
||
|
std::complex<double>* b, const fortran_int_t ldb,
|
||
|
std::complex<double>* x, const fortran_int_t ldx, double& rcond,
|
||
|
double* ferr, double* berr, std::complex<double>* work,
|
||
|
double* rwork ) {
|
||
|
fortran_int_t info(0);
|
||
|
LAPACK_ZGESVX( &fact, &lapack_option< Trans >::value, &n, &nrhs, a, &lda,
|
||
|
af, &ldaf, ipiv, &equed, r, c, b, &ldb, x, &ldx, &rcond, ferr,
|
||
|
berr, work, rwork, &info );
|
||
|
return info;
|
||
|
}
|
||
|
|
||
|
} // namespace detail
|
||
|
|
||
|
//
|
||
|
// Value-type based template class. Use this class if you need a type
|
||
|
// for dispatching to gesvx.
|
||
|
//
|
||
|
template< typename Value, typename Enable = void >
|
||
|
struct gesvx_impl {};
|
||
|
|
||
|
//
|
||
|
// This implementation is enabled if Value is a real type.
|
||
|
//
|
||
|
template< typename Value >
|
||
|
struct gesvx_impl< Value, typename boost::enable_if< is_real< Value > >::type > {
|
||
|
|
||
|
typedef Value value_type;
|
||
|
typedef typename remove_imaginary< Value >::type real_type;
|
||
|
|
||
|
//
|
||
|
// Static member function for user-defined workspaces, that
|
||
|
// * Deduces the required arguments for dispatching to LAPACK, and
|
||
|
// * Asserts that most arguments make sense.
|
||
|
//
|
||
|
template< typename MatrixA, typename MatrixAF, typename VectorIPIV,
|
||
|
typename VectorR, typename VectorC, typename MatrixB,
|
||
|
typename MatrixX, typename VectorFERR, typename VectorBERR,
|
||
|
typename WORK, typename IWORK >
|
||
|
static std::ptrdiff_t invoke( const char fact, MatrixA& a, MatrixAF& af,
|
||
|
VectorIPIV& ipiv, char& equed, VectorR& r, VectorC& c, MatrixB& b,
|
||
|
MatrixX& x, real_type& rcond, VectorFERR& ferr, VectorBERR& berr,
|
||
|
detail::workspace2< WORK, IWORK > work ) {
|
||
|
namespace bindings = ::boost::numeric::bindings;
|
||
|
typedef typename result_of::data_order< MatrixAF >::type order;
|
||
|
typedef typename result_of::trans_tag< MatrixA, order >::type trans;
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixB >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixX >::value) );
|
||
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
typename bindings::value_type< MatrixA >::type >::type,
|
||
|
typename remove_const< typename bindings::value_type<
|
||
|
MatrixAF >::type >::type >::value) );
|
||
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
typename bindings::value_type< MatrixA >::type >::type,
|
||
|
typename remove_const< typename bindings::value_type<
|
||
|
VectorR >::type >::type >::value) );
|
||
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
typename bindings::value_type< MatrixA >::type >::type,
|
||
|
typename remove_const< typename bindings::value_type<
|
||
|
VectorC >::type >::type >::value) );
|
||
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
typename bindings::value_type< MatrixA >::type >::type,
|
||
|
typename remove_const< typename bindings::value_type<
|
||
|
MatrixB >::type >::type >::value) );
|
||
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
typename bindings::value_type< MatrixA >::type >::type,
|
||
|
typename remove_const< typename bindings::value_type<
|
||
|
MatrixX >::type >::type >::value) );
|
||
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
typename bindings::value_type< MatrixA >::type >::type,
|
||
|
typename remove_const< typename bindings::value_type<
|
||
|
VectorFERR >::type >::type >::value) );
|
||
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
typename bindings::value_type< MatrixA >::type >::type,
|
||
|
typename remove_const< typename bindings::value_type<
|
||
|
VectorBERR >::type >::type >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixA >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixAF >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorIPIV >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorR >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorC >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixB >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixX >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorFERR >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorBERR >::value) );
|
||
|
BOOST_ASSERT( bindings::size(berr) >= bindings::size_column(b) );
|
||
|
BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >=
|
||
|
min_size_iwork( bindings::size_column_op(a, trans()) ));
|
||
|
BOOST_ASSERT( bindings::size(work.select(real_type())) >=
|
||
|
min_size_work( bindings::size_column_op(a, trans()) ));
|
||
|
BOOST_ASSERT( bindings::size_column(b) >= 0 );
|
||
|
BOOST_ASSERT( bindings::size_column_op(a, trans()) >= 0 );
|
||
|
BOOST_ASSERT( bindings::size_minor(a) == 1 ||
|
||
|
bindings::stride_minor(a) == 1 );
|
||
|
BOOST_ASSERT( bindings::size_minor(af) == 1 ||
|
||
|
bindings::stride_minor(af) == 1 );
|
||
|
BOOST_ASSERT( bindings::size_minor(b) == 1 ||
|
||
|
bindings::stride_minor(b) == 1 );
|
||
|
BOOST_ASSERT( bindings::size_minor(x) == 1 ||
|
||
|
bindings::stride_minor(x) == 1 );
|
||
|
BOOST_ASSERT( bindings::stride_major(a) >= std::max< std::ptrdiff_t >(1,
|
||
|
bindings::size_column_op(a, trans())) );
|
||
|
BOOST_ASSERT( bindings::stride_major(af) >= std::max<
|
||
|
std::ptrdiff_t >(1,bindings::size_column_op(a, trans())) );
|
||
|
BOOST_ASSERT( bindings::stride_major(b) >= std::max< std::ptrdiff_t >(1,
|
||
|
bindings::size_column_op(a, trans())) );
|
||
|
BOOST_ASSERT( bindings::stride_major(x) >= std::max< std::ptrdiff_t >(1,
|
||
|
bindings::size_column_op(a, trans())) );
|
||
|
BOOST_ASSERT( equed == 'N' || equed == 'R' || equed == 'C' ||
|
||
|
equed == 'B' );
|
||
|
BOOST_ASSERT( fact == 'F' || fact == 'N' || fact == 'E' );
|
||
|
return detail::gesvx( fact, trans(), bindings::size_column_op(a,
|
||
|
trans()), bindings::size_column(b), bindings::begin_value(a),
|
||
|
bindings::stride_major(a), bindings::begin_value(af),
|
||
|
bindings::stride_major(af), bindings::begin_value(ipiv),
|
||
|
equed, bindings::begin_value(r), bindings::begin_value(c),
|
||
|
bindings::begin_value(b), bindings::stride_major(b),
|
||
|
bindings::begin_value(x), bindings::stride_major(x), rcond,
|
||
|
bindings::begin_value(ferr), bindings::begin_value(berr),
|
||
|
bindings::begin_value(work.select(real_type())),
|
||
|
bindings::begin_value(work.select(fortran_int_t())) );
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// Static member function that
|
||
|
// * Figures out the minimal workspace requirements, and passes
|
||
|
// the results to the user-defined workspace overload of the
|
||
|
// invoke static member function
|
||
|
// * Enables the unblocked algorithm (BLAS level 2)
|
||
|
//
|
||
|
template< typename MatrixA, typename MatrixAF, typename VectorIPIV,
|
||
|
typename VectorR, typename VectorC, typename MatrixB,
|
||
|
typename MatrixX, typename VectorFERR, typename VectorBERR >
|
||
|
static std::ptrdiff_t invoke( const char fact, MatrixA& a, MatrixAF& af,
|
||
|
VectorIPIV& ipiv, char& equed, VectorR& r, VectorC& c, MatrixB& b,
|
||
|
MatrixX& x, real_type& rcond, VectorFERR& ferr, VectorBERR& berr,
|
||
|
minimal_workspace ) {
|
||
|
namespace bindings = ::boost::numeric::bindings;
|
||
|
typedef typename result_of::data_order< MatrixAF >::type order;
|
||
|
typedef typename result_of::trans_tag< MatrixA, order >::type trans;
|
||
|
bindings::detail::array< real_type > tmp_work( min_size_work(
|
||
|
bindings::size_column_op(a, trans()) ) );
|
||
|
bindings::detail::array< fortran_int_t > tmp_iwork(
|
||
|
min_size_iwork( bindings::size_column_op(a, trans()) ) );
|
||
|
return invoke( fact, a, af, ipiv, equed, r, c, b, x, rcond, ferr,
|
||
|
berr, workspace( tmp_work, tmp_iwork ) );
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// Static member function that
|
||
|
// * Figures out the optimal workspace requirements, and passes
|
||
|
// the results to the user-defined workspace overload of the
|
||
|
// invoke static member
|
||
|
// * Enables the blocked algorithm (BLAS level 3)
|
||
|
//
|
||
|
template< typename MatrixA, typename MatrixAF, typename VectorIPIV,
|
||
|
typename VectorR, typename VectorC, typename MatrixB,
|
||
|
typename MatrixX, typename VectorFERR, typename VectorBERR >
|
||
|
static std::ptrdiff_t invoke( const char fact, MatrixA& a, MatrixAF& af,
|
||
|
VectorIPIV& ipiv, char& equed, VectorR& r, VectorC& c, MatrixB& b,
|
||
|
MatrixX& x, real_type& rcond, VectorFERR& ferr, VectorBERR& berr,
|
||
|
optimal_workspace ) {
|
||
|
namespace bindings = ::boost::numeric::bindings;
|
||
|
typedef typename result_of::data_order< MatrixAF >::type order;
|
||
|
typedef typename result_of::trans_tag< MatrixA, order >::type trans;
|
||
|
return invoke( fact, a, af, ipiv, equed, r, c, b, x, rcond, ferr,
|
||
|
berr, minimal_workspace() );
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// Static member function that returns the minimum size of
|
||
|
// workspace-array work.
|
||
|
//
|
||
|
static std::ptrdiff_t min_size_work( const std::ptrdiff_t n ) {
|
||
|
return 4*n;
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// Static member function that returns the minimum size of
|
||
|
// workspace-array iwork.
|
||
|
//
|
||
|
static std::ptrdiff_t min_size_iwork( const std::ptrdiff_t n ) {
|
||
|
return n;
|
||
|
}
|
||
|
};
|
||
|
|
||
|
//
|
||
|
// This implementation is enabled if Value is a complex type.
|
||
|
//
|
||
|
template< typename Value >
|
||
|
struct gesvx_impl< Value, typename boost::enable_if< is_complex< Value > >::type > {
|
||
|
|
||
|
typedef Value value_type;
|
||
|
typedef typename remove_imaginary< Value >::type real_type;
|
||
|
|
||
|
//
|
||
|
// Static member function for user-defined workspaces, that
|
||
|
// * Deduces the required arguments for dispatching to LAPACK, and
|
||
|
// * Asserts that most arguments make sense.
|
||
|
//
|
||
|
template< typename MatrixA, typename MatrixAF, typename VectorIPIV,
|
||
|
typename VectorR, typename VectorC, typename MatrixB,
|
||
|
typename MatrixX, typename VectorFERR, typename VectorBERR,
|
||
|
typename WORK, typename RWORK >
|
||
|
static std::ptrdiff_t invoke( const char fact, MatrixA& a, MatrixAF& af,
|
||
|
VectorIPIV& ipiv, char& equed, VectorR& r, VectorC& c, MatrixB& b,
|
||
|
MatrixX& x, real_type& rcond, VectorFERR& ferr, VectorBERR& berr,
|
||
|
detail::workspace2< WORK, RWORK > work ) {
|
||
|
namespace bindings = ::boost::numeric::bindings;
|
||
|
typedef typename result_of::data_order< MatrixAF >::type order;
|
||
|
typedef typename result_of::trans_tag< MatrixA, order >::type trans;
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixB >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixX >::value) );
|
||
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
typename bindings::value_type< VectorR >::type >::type,
|
||
|
typename remove_const< typename bindings::value_type<
|
||
|
VectorC >::type >::type >::value) );
|
||
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
typename bindings::value_type< VectorR >::type >::type,
|
||
|
typename remove_const< typename bindings::value_type<
|
||
|
VectorFERR >::type >::type >::value) );
|
||
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
typename bindings::value_type< VectorR >::type >::type,
|
||
|
typename remove_const< typename bindings::value_type<
|
||
|
VectorBERR >::type >::type >::value) );
|
||
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
typename bindings::value_type< MatrixA >::type >::type,
|
||
|
typename remove_const< typename bindings::value_type<
|
||
|
MatrixAF >::type >::type >::value) );
|
||
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
typename bindings::value_type< MatrixA >::type >::type,
|
||
|
typename remove_const< typename bindings::value_type<
|
||
|
MatrixB >::type >::type >::value) );
|
||
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
typename bindings::value_type< MatrixA >::type >::type,
|
||
|
typename remove_const< typename bindings::value_type<
|
||
|
MatrixX >::type >::type >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixA >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixAF >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorIPIV >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorR >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorC >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixB >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixX >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorFERR >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorBERR >::value) );
|
||
|
BOOST_ASSERT( bindings::size(berr) >= bindings::size_column(b) );
|
||
|
BOOST_ASSERT( bindings::size(work.select(real_type())) >=
|
||
|
min_size_rwork( bindings::size_column_op(a, trans()) ));
|
||
|
BOOST_ASSERT( bindings::size(work.select(value_type())) >=
|
||
|
min_size_work( bindings::size_column_op(a, trans()) ));
|
||
|
BOOST_ASSERT( bindings::size_column(b) >= 0 );
|
||
|
BOOST_ASSERT( bindings::size_column_op(a, trans()) >= 0 );
|
||
|
BOOST_ASSERT( bindings::size_minor(a) == 1 ||
|
||
|
bindings::stride_minor(a) == 1 );
|
||
|
BOOST_ASSERT( bindings::size_minor(af) == 1 ||
|
||
|
bindings::stride_minor(af) == 1 );
|
||
|
BOOST_ASSERT( bindings::size_minor(b) == 1 ||
|
||
|
bindings::stride_minor(b) == 1 );
|
||
|
BOOST_ASSERT( bindings::size_minor(x) == 1 ||
|
||
|
bindings::stride_minor(x) == 1 );
|
||
|
BOOST_ASSERT( bindings::stride_major(a) >= std::max< std::ptrdiff_t >(1,
|
||
|
bindings::size_column_op(a, trans())) );
|
||
|
BOOST_ASSERT( bindings::stride_major(af) >= std::max<
|
||
|
std::ptrdiff_t >(1,bindings::size_column_op(a, trans())) );
|
||
|
BOOST_ASSERT( bindings::stride_major(b) >= std::max< std::ptrdiff_t >(1,
|
||
|
bindings::size_column_op(a, trans())) );
|
||
|
BOOST_ASSERT( bindings::stride_major(x) >= std::max< std::ptrdiff_t >(1,
|
||
|
bindings::size_column_op(a, trans())) );
|
||
|
BOOST_ASSERT( equed == 'N' || equed == 'R' || equed == 'C' ||
|
||
|
equed == 'B' );
|
||
|
BOOST_ASSERT( fact == 'F' || fact == 'N' || fact == 'E' );
|
||
|
return detail::gesvx( fact, trans(), bindings::size_column_op(a,
|
||
|
trans()), bindings::size_column(b), bindings::begin_value(a),
|
||
|
bindings::stride_major(a), bindings::begin_value(af),
|
||
|
bindings::stride_major(af), bindings::begin_value(ipiv),
|
||
|
equed, bindings::begin_value(r), bindings::begin_value(c),
|
||
|
bindings::begin_value(b), bindings::stride_major(b),
|
||
|
bindings::begin_value(x), bindings::stride_major(x), rcond,
|
||
|
bindings::begin_value(ferr), bindings::begin_value(berr),
|
||
|
bindings::begin_value(work.select(value_type())),
|
||
|
bindings::begin_value(work.select(real_type())) );
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// Static member function that
|
||
|
// * Figures out the minimal workspace requirements, and passes
|
||
|
// the results to the user-defined workspace overload of the
|
||
|
// invoke static member function
|
||
|
// * Enables the unblocked algorithm (BLAS level 2)
|
||
|
//
|
||
|
template< typename MatrixA, typename MatrixAF, typename VectorIPIV,
|
||
|
typename VectorR, typename VectorC, typename MatrixB,
|
||
|
typename MatrixX, typename VectorFERR, typename VectorBERR >
|
||
|
static std::ptrdiff_t invoke( const char fact, MatrixA& a, MatrixAF& af,
|
||
|
VectorIPIV& ipiv, char& equed, VectorR& r, VectorC& c, MatrixB& b,
|
||
|
MatrixX& x, real_type& rcond, VectorFERR& ferr, VectorBERR& berr,
|
||
|
minimal_workspace ) {
|
||
|
namespace bindings = ::boost::numeric::bindings;
|
||
|
typedef typename result_of::data_order< MatrixAF >::type order;
|
||
|
typedef typename result_of::trans_tag< MatrixA, order >::type trans;
|
||
|
bindings::detail::array< value_type > tmp_work( min_size_work(
|
||
|
bindings::size_column_op(a, trans()) ) );
|
||
|
bindings::detail::array< real_type > tmp_rwork( min_size_rwork(
|
||
|
bindings::size_column_op(a, trans()) ) );
|
||
|
return invoke( fact, a, af, ipiv, equed, r, c, b, x, rcond, ferr,
|
||
|
berr, workspace( tmp_work, tmp_rwork ) );
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// Static member function that
|
||
|
// * Figures out the optimal workspace requirements, and passes
|
||
|
// the results to the user-defined workspace overload of the
|
||
|
// invoke static member
|
||
|
// * Enables the blocked algorithm (BLAS level 3)
|
||
|
//
|
||
|
template< typename MatrixA, typename MatrixAF, typename VectorIPIV,
|
||
|
typename VectorR, typename VectorC, typename MatrixB,
|
||
|
typename MatrixX, typename VectorFERR, typename VectorBERR >
|
||
|
static std::ptrdiff_t invoke( const char fact, MatrixA& a, MatrixAF& af,
|
||
|
VectorIPIV& ipiv, char& equed, VectorR& r, VectorC& c, MatrixB& b,
|
||
|
MatrixX& x, real_type& rcond, VectorFERR& ferr, VectorBERR& berr,
|
||
|
optimal_workspace ) {
|
||
|
namespace bindings = ::boost::numeric::bindings;
|
||
|
typedef typename result_of::data_order< MatrixAF >::type order;
|
||
|
typedef typename result_of::trans_tag< MatrixA, order >::type trans;
|
||
|
return invoke( fact, a, af, ipiv, equed, r, c, b, x, rcond, ferr,
|
||
|
berr, minimal_workspace() );
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// Static member function that returns the minimum size of
|
||
|
// workspace-array work.
|
||
|
//
|
||
|
static std::ptrdiff_t min_size_work( const std::ptrdiff_t n ) {
|
||
|
return 2*n;
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// Static member function that returns the minimum size of
|
||
|
// workspace-array rwork.
|
||
|
//
|
||
|
static std::ptrdiff_t min_size_rwork( const std::ptrdiff_t n ) {
|
||
|
return 2*n;
|
||
|
}
|
||
|
};
|
||
|
|
||
|
|
||
|
//
|
||
|
// Functions for direct use. These functions are overloaded for temporaries,
|
||
|
// so that wrapped types can still be passed and used for write-access. In
|
||
|
// addition, if applicable, they are overloaded for user-defined workspaces.
|
||
|
// Calls to these functions are passed to the gesvx_impl classes. In the
|
||
|
// documentation, most overloads are collapsed to avoid a large number of
|
||
|
// prototypes which are very similar.
|
||
|
//
|
||
|
|
||
|
//
|
||
|
// Overloaded function for gesvx. Its overload differs for
|
||
|
// * User-defined workspace
|
||
|
//
|
||
|
template< typename MatrixA, typename MatrixAF, typename VectorIPIV,
|
||
|
typename VectorR, typename VectorC, typename MatrixB,
|
||
|
typename MatrixX, typename VectorFERR, typename VectorBERR,
|
||
|
typename Workspace >
|
||
|
inline typename boost::enable_if< detail::is_workspace< Workspace >,
|
||
|
std::ptrdiff_t >::type
|
||
|
gesvx( const char fact, MatrixA& a, MatrixAF& af, VectorIPIV& ipiv,
|
||
|
char& equed, VectorR& r, VectorC& c, MatrixB& b, MatrixX& x,
|
||
|
typename remove_imaginary< typename bindings::value_type<
|
||
|
MatrixA >::type >::type& rcond, VectorFERR& ferr, VectorBERR& berr,
|
||
|
Workspace work ) {
|
||
|
return gesvx_impl< typename bindings::value_type<
|
||
|
MatrixA >::type >::invoke( fact, a, af, ipiv, equed, r, c, b, x,
|
||
|
rcond, ferr, berr, work );
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// Overloaded function for gesvx. Its overload differs for
|
||
|
// * Default workspace-type (optimal)
|
||
|
//
|
||
|
template< typename MatrixA, typename MatrixAF, typename VectorIPIV,
|
||
|
typename VectorR, typename VectorC, typename MatrixB,
|
||
|
typename MatrixX, typename VectorFERR, typename VectorBERR >
|
||
|
inline typename boost::disable_if< detail::is_workspace< VectorBERR >,
|
||
|
std::ptrdiff_t >::type
|
||
|
gesvx( const char fact, MatrixA& a, MatrixAF& af, VectorIPIV& ipiv,
|
||
|
char& equed, VectorR& r, VectorC& c, MatrixB& b, MatrixX& x,
|
||
|
typename remove_imaginary< typename bindings::value_type<
|
||
|
MatrixA >::type >::type& rcond, VectorFERR& ferr, VectorBERR& berr ) {
|
||
|
return gesvx_impl< typename bindings::value_type<
|
||
|
MatrixA >::type >::invoke( fact, a, af, ipiv, equed, r, c, b, x,
|
||
|
rcond, ferr, berr, optimal_workspace() );
|
||
|
}
|
||
|
|
||
|
} // namespace lapack
|
||
|
} // namespace bindings
|
||
|
} // namespace numeric
|
||
|
} // namespace boost
|
||
|
|
||
|
#endif
|