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.
561 lines
27 KiB
561 lines
27 KiB
// |
|
// 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_GTRFS_HPP |
|
#define BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_GTRFS_HPP |
|
|
|
#include <boost/assert.hpp> |
|
#include <boost/numeric/bindings/begin.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/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 gtrfs 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 gtrfs( const Trans, const fortran_int_t n, |
|
const fortran_int_t nrhs, const float* dl, const float* d, |
|
const float* du, const float* dlf, const float* df, const float* duf, |
|
const float* du2, 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_SGTRFS( &lapack_option< Trans >::value, &n, &nrhs, dl, d, du, dlf, |
|
df, duf, du2, 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 gtrfs( const Trans, const fortran_int_t n, |
|
const fortran_int_t nrhs, const double* dl, const double* d, |
|
const double* du, const double* dlf, const double* df, |
|
const double* duf, const double* du2, 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_DGTRFS( &lapack_option< Trans >::value, &n, &nrhs, dl, d, du, dlf, |
|
df, duf, du2, 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 gtrfs( const Trans, const fortran_int_t n, |
|
const fortran_int_t nrhs, const std::complex<float>* dl, |
|
const std::complex<float>* d, const std::complex<float>* du, |
|
const std::complex<float>* dlf, const std::complex<float>* df, |
|
const std::complex<float>* duf, const std::complex<float>* du2, |
|
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_CGTRFS( &lapack_option< Trans >::value, &n, &nrhs, dl, d, du, dlf, |
|
df, duf, du2, 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 gtrfs( const Trans, const fortran_int_t n, |
|
const fortran_int_t nrhs, const std::complex<double>* dl, |
|
const std::complex<double>* d, const std::complex<double>* du, |
|
const std::complex<double>* dlf, const std::complex<double>* df, |
|
const std::complex<double>* duf, const std::complex<double>* du2, |
|
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_ZGTRFS( &lapack_option< Trans >::value, &n, &nrhs, dl, d, du, dlf, |
|
df, duf, du2, 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 gtrfs. |
|
// |
|
template< typename Value, typename Enable = void > |
|
struct gtrfs_impl {}; |
|
|
|
// |
|
// This implementation is enabled if Value is a real type. |
|
// |
|
template< typename Value > |
|
struct gtrfs_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 VectorDL, typename VectorD, typename VectorDU, |
|
typename VectorDLF, typename VectorDF, typename VectorDUF, |
|
typename VectorDU2, typename VectorIPIV, typename MatrixB, |
|
typename MatrixX, typename VectorFERR, typename VectorBERR, |
|
typename WORK, typename IWORK > |
|
static std::ptrdiff_t invoke( const VectorDL& dl, const VectorD& d, |
|
const VectorDU& du, const VectorDLF& dlf, const VectorDF& df, |
|
const VectorDUF& duf, const VectorDU2& du2, |
|
const VectorIPIV& ipiv, const MatrixB& b, MatrixX& x, |
|
VectorFERR& ferr, VectorBERR& berr, detail::workspace2< WORK, |
|
IWORK > work ) { |
|
namespace bindings = ::boost::numeric::bindings; |
|
typedef tag::column_major order; |
|
typedef typename result_of::trans_tag< VectorD, 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< VectorDL >::type >::type, |
|
typename remove_const< typename bindings::value_type< |
|
VectorD >::type >::type >::value) ); |
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
|
typename bindings::value_type< VectorDL >::type >::type, |
|
typename remove_const< typename bindings::value_type< |
|
VectorDU >::type >::type >::value) ); |
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
|
typename bindings::value_type< VectorDL >::type >::type, |
|
typename remove_const< typename bindings::value_type< |
|
VectorDLF >::type >::type >::value) ); |
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
|
typename bindings::value_type< VectorDL >::type >::type, |
|
typename remove_const< typename bindings::value_type< |
|
VectorDF >::type >::type >::value) ); |
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
|
typename bindings::value_type< VectorDL >::type >::type, |
|
typename remove_const< typename bindings::value_type< |
|
VectorDUF >::type >::type >::value) ); |
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
|
typename bindings::value_type< VectorDL >::type >::type, |
|
typename remove_const< typename bindings::value_type< |
|
VectorDU2 >::type >::type >::value) ); |
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
|
typename bindings::value_type< VectorDL >::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< VectorDL >::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< VectorDL >::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< VectorDL >::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(d) >= bindings::size_column_op(d, |
|
trans()) ); |
|
BOOST_ASSERT( bindings::size(df) >= bindings::size_column_op(d, |
|
trans()) ); |
|
BOOST_ASSERT( bindings::size(dl) >= bindings::size_column_op(d, |
|
trans())-1 ); |
|
BOOST_ASSERT( bindings::size(dlf) >= bindings::size_column_op(d, |
|
trans())-1 ); |
|
BOOST_ASSERT( bindings::size(du) >= bindings::size_column_op(d, |
|
trans())-1 ); |
|
BOOST_ASSERT( bindings::size(du2) >= bindings::size_column_op(d, |
|
trans())-2 ); |
|
BOOST_ASSERT( bindings::size(duf) >= bindings::size_column_op(d, |
|
trans())-1 ); |
|
BOOST_ASSERT( bindings::size(ipiv) >= bindings::size_column_op(d, |
|
trans()) ); |
|
BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >= |
|
min_size_iwork( bindings::size_column_op(d, trans()) )); |
|
BOOST_ASSERT( bindings::size(work.select(real_type())) >= |
|
min_size_work( bindings::size_column_op(d, trans()) )); |
|
BOOST_ASSERT( bindings::size_column(b) >= 0 ); |
|
BOOST_ASSERT( bindings::size_column_op(d, trans()) >= 0 ); |
|
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(b) >= std::max< std::ptrdiff_t >(1, |
|
bindings::size_column_op(d, trans())) ); |
|
BOOST_ASSERT( bindings::stride_major(x) >= std::max< std::ptrdiff_t >(1, |
|
bindings::size_column_op(d, trans())) ); |
|
return detail::gtrfs( trans(), bindings::size_column_op(d, trans()), |
|
bindings::size_column(b), bindings::begin_value(dl), |
|
bindings::begin_value(d), bindings::begin_value(du), |
|
bindings::begin_value(dlf), bindings::begin_value(df), |
|
bindings::begin_value(duf), bindings::begin_value(du2), |
|
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 VectorDL, typename VectorD, typename VectorDU, |
|
typename VectorDLF, typename VectorDF, typename VectorDUF, |
|
typename VectorDU2, typename VectorIPIV, typename MatrixB, |
|
typename MatrixX, typename VectorFERR, typename VectorBERR > |
|
static std::ptrdiff_t invoke( const VectorDL& dl, const VectorD& d, |
|
const VectorDU& du, const VectorDLF& dlf, const VectorDF& df, |
|
const VectorDUF& duf, const VectorDU2& du2, |
|
const VectorIPIV& ipiv, const MatrixB& b, MatrixX& x, |
|
VectorFERR& ferr, VectorBERR& berr, minimal_workspace ) { |
|
namespace bindings = ::boost::numeric::bindings; |
|
typedef tag::column_major order; |
|
typedef typename result_of::trans_tag< VectorD, order >::type trans; |
|
bindings::detail::array< real_type > tmp_work( min_size_work( |
|
bindings::size_column_op(d, trans()) ) ); |
|
bindings::detail::array< fortran_int_t > tmp_iwork( |
|
min_size_iwork( bindings::size_column_op(d, trans()) ) ); |
|
return invoke( dl, d, du, dlf, df, duf, du2, 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 VectorDL, typename VectorD, typename VectorDU, |
|
typename VectorDLF, typename VectorDF, typename VectorDUF, |
|
typename VectorDU2, typename VectorIPIV, typename MatrixB, |
|
typename MatrixX, typename VectorFERR, typename VectorBERR > |
|
static std::ptrdiff_t invoke( const VectorDL& dl, const VectorD& d, |
|
const VectorDU& du, const VectorDLF& dlf, const VectorDF& df, |
|
const VectorDUF& duf, const VectorDU2& du2, |
|
const VectorIPIV& ipiv, const MatrixB& b, MatrixX& x, |
|
VectorFERR& ferr, VectorBERR& berr, optimal_workspace ) { |
|
namespace bindings = ::boost::numeric::bindings; |
|
typedef tag::column_major order; |
|
typedef typename result_of::trans_tag< VectorD, order >::type trans; |
|
return invoke( dl, d, du, dlf, df, duf, du2, 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 gtrfs_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 VectorDL, typename VectorD, typename VectorDU, |
|
typename VectorDLF, typename VectorDF, typename VectorDUF, |
|
typename VectorDU2, typename VectorIPIV, typename MatrixB, |
|
typename MatrixX, typename VectorFERR, typename VectorBERR, |
|
typename WORK, typename RWORK > |
|
static std::ptrdiff_t invoke( const VectorDL& dl, const VectorD& d, |
|
const VectorDU& du, const VectorDLF& dlf, const VectorDF& df, |
|
const VectorDUF& duf, const VectorDU2& du2, |
|
const VectorIPIV& ipiv, const MatrixB& b, MatrixX& x, |
|
VectorFERR& ferr, VectorBERR& berr, detail::workspace2< WORK, |
|
RWORK > work ) { |
|
namespace bindings = ::boost::numeric::bindings; |
|
typedef tag::column_major order; |
|
typedef typename result_of::trans_tag< VectorD, 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< VectorDL >::type >::type, |
|
typename remove_const< typename bindings::value_type< |
|
VectorD >::type >::type >::value) ); |
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
|
typename bindings::value_type< VectorDL >::type >::type, |
|
typename remove_const< typename bindings::value_type< |
|
VectorDU >::type >::type >::value) ); |
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
|
typename bindings::value_type< VectorDL >::type >::type, |
|
typename remove_const< typename bindings::value_type< |
|
VectorDLF >::type >::type >::value) ); |
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
|
typename bindings::value_type< VectorDL >::type >::type, |
|
typename remove_const< typename bindings::value_type< |
|
VectorDF >::type >::type >::value) ); |
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
|
typename bindings::value_type< VectorDL >::type >::type, |
|
typename remove_const< typename bindings::value_type< |
|
VectorDUF >::type >::type >::value) ); |
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
|
typename bindings::value_type< VectorDL >::type >::type, |
|
typename remove_const< typename bindings::value_type< |
|
VectorDU2 >::type >::type >::value) ); |
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
|
typename bindings::value_type< VectorDL >::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< VectorDL >::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(d) >= bindings::size_column_op(d, |
|
trans()) ); |
|
BOOST_ASSERT( bindings::size(df) >= bindings::size_column_op(d, |
|
trans()) ); |
|
BOOST_ASSERT( bindings::size(dl) >= bindings::size_column_op(d, |
|
trans())-1 ); |
|
BOOST_ASSERT( bindings::size(dlf) >= bindings::size_column_op(d, |
|
trans())-1 ); |
|
BOOST_ASSERT( bindings::size(du) >= bindings::size_column_op(d, |
|
trans())-1 ); |
|
BOOST_ASSERT( bindings::size(du2) >= bindings::size_column_op(d, |
|
trans())-2 ); |
|
BOOST_ASSERT( bindings::size(duf) >= bindings::size_column_op(d, |
|
trans())-1 ); |
|
BOOST_ASSERT( bindings::size(ipiv) >= bindings::size_column_op(d, |
|
trans()) ); |
|
BOOST_ASSERT( bindings::size(work.select(real_type())) >= |
|
min_size_rwork( bindings::size_column_op(d, trans()) )); |
|
BOOST_ASSERT( bindings::size(work.select(value_type())) >= |
|
min_size_work( bindings::size_column_op(d, trans()) )); |
|
BOOST_ASSERT( bindings::size_column(b) >= 0 ); |
|
BOOST_ASSERT( bindings::size_column_op(d, trans()) >= 0 ); |
|
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(b) >= std::max< std::ptrdiff_t >(1, |
|
bindings::size_column_op(d, trans())) ); |
|
BOOST_ASSERT( bindings::stride_major(x) >= std::max< std::ptrdiff_t >(1, |
|
bindings::size_column_op(d, trans())) ); |
|
return detail::gtrfs( trans(), bindings::size_column_op(d, trans()), |
|
bindings::size_column(b), bindings::begin_value(dl), |
|
bindings::begin_value(d), bindings::begin_value(du), |
|
bindings::begin_value(dlf), bindings::begin_value(df), |
|
bindings::begin_value(duf), bindings::begin_value(du2), |
|
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 VectorDL, typename VectorD, typename VectorDU, |
|
typename VectorDLF, typename VectorDF, typename VectorDUF, |
|
typename VectorDU2, typename VectorIPIV, typename MatrixB, |
|
typename MatrixX, typename VectorFERR, typename VectorBERR > |
|
static std::ptrdiff_t invoke( const VectorDL& dl, const VectorD& d, |
|
const VectorDU& du, const VectorDLF& dlf, const VectorDF& df, |
|
const VectorDUF& duf, const VectorDU2& du2, |
|
const VectorIPIV& ipiv, const MatrixB& b, MatrixX& x, |
|
VectorFERR& ferr, VectorBERR& berr, minimal_workspace ) { |
|
namespace bindings = ::boost::numeric::bindings; |
|
typedef tag::column_major order; |
|
typedef typename result_of::trans_tag< VectorD, order >::type trans; |
|
bindings::detail::array< value_type > tmp_work( min_size_work( |
|
bindings::size_column_op(d, trans()) ) ); |
|
bindings::detail::array< real_type > tmp_rwork( min_size_rwork( |
|
bindings::size_column_op(d, trans()) ) ); |
|
return invoke( dl, d, du, dlf, df, duf, du2, 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 VectorDL, typename VectorD, typename VectorDU, |
|
typename VectorDLF, typename VectorDF, typename VectorDUF, |
|
typename VectorDU2, typename VectorIPIV, typename MatrixB, |
|
typename MatrixX, typename VectorFERR, typename VectorBERR > |
|
static std::ptrdiff_t invoke( const VectorDL& dl, const VectorD& d, |
|
const VectorDU& du, const VectorDLF& dlf, const VectorDF& df, |
|
const VectorDUF& duf, const VectorDU2& du2, |
|
const VectorIPIV& ipiv, const MatrixB& b, MatrixX& x, |
|
VectorFERR& ferr, VectorBERR& berr, optimal_workspace ) { |
|
namespace bindings = ::boost::numeric::bindings; |
|
typedef tag::column_major order; |
|
typedef typename result_of::trans_tag< VectorD, order >::type trans; |
|
return invoke( dl, d, du, dlf, df, duf, du2, 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 gtrfs_impl classes. In the |
|
// documentation, most overloads are collapsed to avoid a large number of |
|
// prototypes which are very similar. |
|
// |
|
|
|
// |
|
// Overloaded function for gtrfs. Its overload differs for |
|
// * User-defined workspace |
|
// |
|
template< typename VectorDL, typename VectorD, typename VectorDU, |
|
typename VectorDLF, typename VectorDF, typename VectorDUF, |
|
typename VectorDU2, 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 |
|
gtrfs( const VectorDL& dl, const VectorD& d, const VectorDU& du, |
|
const VectorDLF& dlf, const VectorDF& df, const VectorDUF& duf, |
|
const VectorDU2& du2, const VectorIPIV& ipiv, const MatrixB& b, |
|
MatrixX& x, VectorFERR& ferr, VectorBERR& berr, Workspace work ) { |
|
return gtrfs_impl< typename bindings::value_type< |
|
VectorDL >::type >::invoke( dl, d, du, dlf, df, duf, du2, ipiv, b, |
|
x, ferr, berr, work ); |
|
} |
|
|
|
// |
|
// Overloaded function for gtrfs. Its overload differs for |
|
// * Default workspace-type (optimal) |
|
// |
|
template< typename VectorDL, typename VectorD, typename VectorDU, |
|
typename VectorDLF, typename VectorDF, typename VectorDUF, |
|
typename VectorDU2, typename VectorIPIV, typename MatrixB, |
|
typename MatrixX, typename VectorFERR, typename VectorBERR > |
|
inline typename boost::disable_if< detail::is_workspace< VectorBERR >, |
|
std::ptrdiff_t >::type |
|
gtrfs( const VectorDL& dl, const VectorD& d, const VectorDU& du, |
|
const VectorDLF& dlf, const VectorDF& df, const VectorDUF& duf, |
|
const VectorDU2& du2, const VectorIPIV& ipiv, const MatrixB& b, |
|
MatrixX& x, VectorFERR& ferr, VectorBERR& berr ) { |
|
return gtrfs_impl< typename bindings::value_type< |
|
VectorDL >::type >::invoke( dl, d, du, dlf, df, duf, du2, ipiv, b, |
|
x, ferr, berr, optimal_workspace() ); |
|
} |
|
|
|
} // namespace lapack |
|
} // namespace bindings |
|
} // namespace numeric |
|
} // namespace boost |
|
|
|
#endif
|
|
|