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//
// 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_COMPUTATIONAL_GERFS_HPP
#define BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_GERFS_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 gerfs 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 gerfs( const Trans, const fortran_int_t n,
const fortran_int_t nrhs, const float* a, const fortran_int_t lda,
const float* af, const fortran_int_t ldaf, const fortran_int_t* ipiv,
const float* b, const fortran_int_t ldb, float* x,
const fortran_int_t ldx, float* ferr, float* berr, float* work,
fortran_int_t* iwork ) {
fortran_int_t info(0);
LAPACK_SGERFS( &lapack_option< Trans >::value, &n, &nrhs, a, &lda, af,
&ldaf, ipiv, b, &ldb, x, &ldx, 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 gerfs( const Trans, const fortran_int_t n,
const fortran_int_t nrhs, const double* a, const fortran_int_t lda,
const double* af, const fortran_int_t ldaf, const fortran_int_t* ipiv,
const double* b, const fortran_int_t ldb, double* x,
const fortran_int_t ldx, double* ferr, double* berr, double* work,
fortran_int_t* iwork ) {
fortran_int_t info(0);
LAPACK_DGERFS( &lapack_option< Trans >::value, &n, &nrhs, a, &lda, af,
&ldaf, ipiv, b, &ldb, x, &ldx, 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 gerfs( const Trans, const fortran_int_t n,
const fortran_int_t nrhs, const std::complex<float>* a,
const fortran_int_t lda, const std::complex<float>* af,
const fortran_int_t ldaf, const fortran_int_t* ipiv,
const std::complex<float>* b, const fortran_int_t ldb,
std::complex<float>* x, const fortran_int_t ldx, float* ferr,
float* berr, std::complex<float>* work, float* rwork ) {
fortran_int_t info(0);
LAPACK_CGERFS( &lapack_option< Trans >::value, &n, &nrhs, a, &lda, af,
&ldaf, ipiv, b, &ldb, x, &ldx, 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 gerfs( const Trans, const fortran_int_t n,
const fortran_int_t nrhs, const std::complex<double>* a,
const fortran_int_t lda, const std::complex<double>* af,
const fortran_int_t ldaf, const fortran_int_t* ipiv,
const std::complex<double>* b, const fortran_int_t ldb,
std::complex<double>* x, const fortran_int_t ldx, double* ferr,
double* berr, std::complex<double>* work, double* rwork ) {
fortran_int_t info(0);
LAPACK_ZGERFS( &lapack_option< Trans >::value, &n, &nrhs, a, &lda, af,
&ldaf, ipiv, b, &ldb, x, &ldx, 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 gerfs.
//
template< typename Value, typename Enable = void >
struct gerfs_impl {};
//
// This implementation is enabled if Value is a real type.
//
template< typename Value >
struct gerfs_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 MatrixB, typename MatrixX, typename VectorFERR,
typename VectorBERR, typename WORK, typename IWORK >
static std::ptrdiff_t invoke( const MatrixA& a, const MatrixAF& af,
const VectorIPIV& ipiv, const MatrixB& b, MatrixX& x,
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<
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< 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(ipiv) >= bindings::size_column_op(a,
trans()) );
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())) );
return detail::gerfs( 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),
bindings::begin_value(b), bindings::stride_major(b),
bindings::begin_value(x), bindings::stride_major(x),
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 MatrixB, typename MatrixX, typename VectorFERR,
typename VectorBERR >
static std::ptrdiff_t invoke( const MatrixA& a, const MatrixAF& af,
const VectorIPIV& ipiv, const MatrixB& b, MatrixX& x,
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( a, af, ipiv, b, x, 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 MatrixB, typename MatrixX, typename VectorFERR,
typename VectorBERR >
static std::ptrdiff_t invoke( const MatrixA& a, const MatrixAF& af,
const VectorIPIV& ipiv, const MatrixB& b, MatrixX& x,
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( a, af, ipiv, b, x, 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 3*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 gerfs_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 MatrixB, typename MatrixX, typename VectorFERR,
typename VectorBERR, typename WORK, typename RWORK >
static std::ptrdiff_t invoke( const MatrixA& a, const MatrixAF& af,
const VectorIPIV& ipiv, const MatrixB& b, MatrixX& x,
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< VectorFERR >::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< 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(ipiv) >= bindings::size_column_op(a,
trans()) );
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())) );
return detail::gerfs( 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),
bindings::begin_value(b), bindings::stride_major(b),
bindings::begin_value(x), bindings::stride_major(x),
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 MatrixB, typename MatrixX, typename VectorFERR,
typename VectorBERR >
static std::ptrdiff_t invoke( const MatrixA& a, const MatrixAF& af,
const VectorIPIV& ipiv, const MatrixB& b, MatrixX& x,
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( a, af, ipiv, b, x, 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 MatrixB, typename MatrixX, typename VectorFERR,
typename VectorBERR >
static std::ptrdiff_t invoke( const MatrixA& a, const MatrixAF& af,
const VectorIPIV& ipiv, const MatrixB& b, MatrixX& x,
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( a, af, ipiv, b, x, 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 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 gerfs_impl classes. In the
// documentation, most overloads are collapsed to avoid a large number of
// prototypes which are very similar.
//
//
// Overloaded function for gerfs. Its overload differs for
// * User-defined workspace
//
template< typename MatrixA, typename MatrixAF, typename VectorIPIV,
typename MatrixB, typename MatrixX, typename VectorFERR,
typename VectorBERR, typename Workspace >
inline typename boost::enable_if< detail::is_workspace< Workspace >,
std::ptrdiff_t >::type
gerfs( const MatrixA& a, const MatrixAF& af, const VectorIPIV& ipiv,
const MatrixB& b, MatrixX& x, VectorFERR& ferr, VectorBERR& berr,
Workspace work ) {
return gerfs_impl< typename bindings::value_type<
MatrixA >::type >::invoke( a, af, ipiv, b, x, ferr, berr, work );
}
//
// Overloaded function for gerfs. Its overload differs for
// * Default workspace-type (optimal)
//
template< typename MatrixA, typename MatrixAF, typename VectorIPIV,
typename MatrixB, typename MatrixX, typename VectorFERR,
typename VectorBERR >
inline typename boost::disable_if< detail::is_workspace< VectorBERR >,
std::ptrdiff_t >::type
gerfs( const MatrixA& a, const MatrixAF& af, const VectorIPIV& ipiv,
const MatrixB& b, MatrixX& x, VectorFERR& ferr, VectorBERR& berr ) {
return gerfs_impl< typename bindings::value_type<
MatrixA >::type >::invoke( a, af, ipiv, b, x, ferr, berr,
optimal_workspace() );
}
} // namespace lapack
} // namespace bindings
} // namespace numeric
} // namespace boost
#endif
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