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562 lines
27 KiB
562 lines
27 KiB
6 years ago
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//
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// Copyright (c) 2002--2010
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// Toon Knapen, Karl Meerbergen, Kresimir Fresl,
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// Thomas Klimpel and Rutger ter Borg
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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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// THIS FILE IS AUTOMATICALLY GENERATED
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// PLEASE DO NOT EDIT!
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//
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#ifndef BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_GTRFS_HPP
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#define BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_GTRFS_HPP
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#include <boost/assert.hpp>
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#include <boost/numeric/bindings/begin.hpp>
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#include <boost/numeric/bindings/detail/array.hpp>
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#include <boost/numeric/bindings/is_column_major.hpp>
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#include <boost/numeric/bindings/is_complex.hpp>
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#include <boost/numeric/bindings/is_mutable.hpp>
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#include <boost/numeric/bindings/is_real.hpp>
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#include <boost/numeric/bindings/lapack/workspace.hpp>
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#include <boost/numeric/bindings/remove_imaginary.hpp>
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#include <boost/numeric/bindings/size.hpp>
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#include <boost/numeric/bindings/stride.hpp>
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#include <boost/numeric/bindings/value_type.hpp>
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#include <boost/static_assert.hpp>
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#include <boost/type_traits/is_same.hpp>
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#include <boost/type_traits/remove_const.hpp>
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#include <boost/utility/enable_if.hpp>
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//
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// The LAPACK-backend for gtrfs is the netlib-compatible backend.
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//
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#include <boost/numeric/bindings/lapack/detail/lapack.h>
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#include <boost/numeric/bindings/lapack/detail/lapack_option.hpp>
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namespace boost {
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namespace numeric {
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namespace bindings {
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namespace lapack {
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//
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// The detail namespace contains value-type-overloaded functions that
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// dispatch to the appropriate back-end LAPACK-routine.
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//
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namespace detail {
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//
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// Overloaded function for dispatching to
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// * netlib-compatible LAPACK backend (the default), and
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// * float value-type.
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//
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template< typename Trans >
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inline std::ptrdiff_t gtrfs( const Trans, const fortran_int_t n,
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const fortran_int_t nrhs, const float* dl, const float* d,
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const float* du, const float* dlf, const float* df, const float* duf,
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const float* du2, const fortran_int_t* ipiv, const float* b,
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const fortran_int_t ldb, float* x, const fortran_int_t ldx,
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float* ferr, float* berr, float* work, fortran_int_t* iwork ) {
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fortran_int_t info(0);
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LAPACK_SGTRFS( &lapack_option< Trans >::value, &n, &nrhs, dl, d, du, dlf,
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df, duf, du2, ipiv, b, &ldb, x, &ldx, ferr, berr, work, iwork,
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&info );
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return info;
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}
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//
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// Overloaded function for dispatching to
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// * netlib-compatible LAPACK backend (the default), and
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// * double value-type.
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//
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template< typename Trans >
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inline std::ptrdiff_t gtrfs( const Trans, const fortran_int_t n,
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const fortran_int_t nrhs, const double* dl, const double* d,
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const double* du, const double* dlf, const double* df,
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const double* duf, const double* du2, const fortran_int_t* ipiv,
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const double* b, const fortran_int_t ldb, double* x,
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const fortran_int_t ldx, double* ferr, double* berr, double* work,
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fortran_int_t* iwork ) {
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fortran_int_t info(0);
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LAPACK_DGTRFS( &lapack_option< Trans >::value, &n, &nrhs, dl, d, du, dlf,
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df, duf, du2, ipiv, b, &ldb, x, &ldx, ferr, berr, work, iwork,
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&info );
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return info;
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}
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//
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// Overloaded function for dispatching to
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// * netlib-compatible LAPACK backend (the default), and
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// * complex<float> value-type.
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//
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template< typename Trans >
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inline std::ptrdiff_t gtrfs( const Trans, const fortran_int_t n,
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const fortran_int_t nrhs, const std::complex<float>* dl,
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const std::complex<float>* d, const std::complex<float>* du,
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const std::complex<float>* dlf, const std::complex<float>* df,
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const std::complex<float>* duf, const std::complex<float>* du2,
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const fortran_int_t* ipiv, const std::complex<float>* b,
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const fortran_int_t ldb, std::complex<float>* x,
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const fortran_int_t ldx, float* ferr, float* berr,
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std::complex<float>* work, float* rwork ) {
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fortran_int_t info(0);
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LAPACK_CGTRFS( &lapack_option< Trans >::value, &n, &nrhs, dl, d, du, dlf,
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df, duf, du2, ipiv, b, &ldb, x, &ldx, ferr, berr, work, rwork,
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&info );
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return info;
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}
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//
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// Overloaded function for dispatching to
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// * netlib-compatible LAPACK backend (the default), and
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// * complex<double> value-type.
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//
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template< typename Trans >
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inline std::ptrdiff_t gtrfs( const Trans, const fortran_int_t n,
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const fortran_int_t nrhs, const std::complex<double>* dl,
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const std::complex<double>* d, const std::complex<double>* du,
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const std::complex<double>* dlf, const std::complex<double>* df,
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const std::complex<double>* duf, const std::complex<double>* du2,
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const fortran_int_t* ipiv, const std::complex<double>* b,
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const fortran_int_t ldb, std::complex<double>* x,
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const fortran_int_t ldx, double* ferr, double* berr,
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std::complex<double>* work, double* rwork ) {
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fortran_int_t info(0);
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LAPACK_ZGTRFS( &lapack_option< Trans >::value, &n, &nrhs, dl, d, du, dlf,
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df, duf, du2, ipiv, b, &ldb, x, &ldx, ferr, berr, work, rwork,
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&info );
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return info;
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}
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} // namespace detail
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//
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// Value-type based template class. Use this class if you need a type
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// for dispatching to gtrfs.
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//
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template< typename Value, typename Enable = void >
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struct gtrfs_impl {};
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//
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// This implementation is enabled if Value is a real type.
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//
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template< typename Value >
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struct gtrfs_impl< Value, typename boost::enable_if< is_real< Value > >::type > {
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typedef Value value_type;
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typedef typename remove_imaginary< Value >::type real_type;
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//
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// Static member function for user-defined workspaces, that
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// * Deduces the required arguments for dispatching to LAPACK, and
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// * Asserts that most arguments make sense.
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//
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template< typename VectorDL, typename VectorD, typename VectorDU,
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typename VectorDLF, typename VectorDF, typename VectorDUF,
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typename VectorDU2, typename VectorIPIV, typename MatrixB,
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typename MatrixX, typename VectorFERR, typename VectorBERR,
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typename WORK, typename IWORK >
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static std::ptrdiff_t invoke( const VectorDL& dl, const VectorD& d,
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const VectorDU& du, const VectorDLF& dlf, const VectorDF& df,
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const VectorDUF& duf, const VectorDU2& du2,
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const VectorIPIV& ipiv, const MatrixB& b, MatrixX& x,
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VectorFERR& ferr, VectorBERR& berr, detail::workspace2< WORK,
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IWORK > work ) {
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namespace bindings = ::boost::numeric::bindings;
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typedef tag::column_major order;
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typedef typename result_of::trans_tag< VectorD, order >::type trans;
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixB >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixX >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< VectorDL >::type >::type,
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typename remove_const< typename bindings::value_type<
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VectorD >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< VectorDL >::type >::type,
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typename remove_const< typename bindings::value_type<
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VectorDU >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< VectorDL >::type >::type,
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typename remove_const< typename bindings::value_type<
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VectorDLF >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< VectorDL >::type >::type,
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typename remove_const< typename bindings::value_type<
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VectorDF >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< VectorDL >::type >::type,
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typename remove_const< typename bindings::value_type<
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VectorDUF >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< VectorDL >::type >::type,
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typename remove_const< typename bindings::value_type<
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VectorDU2 >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< VectorDL >::type >::type,
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typename remove_const< typename bindings::value_type<
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MatrixB >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< VectorDL >::type >::type,
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typename remove_const< typename bindings::value_type<
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MatrixX >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< VectorDL >::type >::type,
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typename remove_const< typename bindings::value_type<
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VectorFERR >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< VectorDL >::type >::type,
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typename remove_const< typename bindings::value_type<
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VectorBERR >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixX >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorFERR >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorBERR >::value) );
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BOOST_ASSERT( bindings::size(berr) >= bindings::size_column(b) );
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BOOST_ASSERT( bindings::size(d) >= bindings::size_column_op(d,
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trans()) );
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BOOST_ASSERT( bindings::size(df) >= bindings::size_column_op(d,
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trans()) );
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BOOST_ASSERT( bindings::size(dl) >= bindings::size_column_op(d,
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trans())-1 );
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BOOST_ASSERT( bindings::size(dlf) >= bindings::size_column_op(d,
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trans())-1 );
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BOOST_ASSERT( bindings::size(du) >= bindings::size_column_op(d,
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trans())-1 );
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BOOST_ASSERT( bindings::size(du2) >= bindings::size_column_op(d,
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trans())-2 );
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BOOST_ASSERT( bindings::size(duf) >= bindings::size_column_op(d,
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trans())-1 );
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BOOST_ASSERT( bindings::size(ipiv) >= bindings::size_column_op(d,
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trans()) );
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BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >=
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min_size_iwork( bindings::size_column_op(d, trans()) ));
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BOOST_ASSERT( bindings::size(work.select(real_type())) >=
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min_size_work( bindings::size_column_op(d, trans()) ));
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BOOST_ASSERT( bindings::size_column(b) >= 0 );
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BOOST_ASSERT( bindings::size_column_op(d, trans()) >= 0 );
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BOOST_ASSERT( bindings::size_minor(b) == 1 ||
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bindings::stride_minor(b) == 1 );
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BOOST_ASSERT( bindings::size_minor(x) == 1 ||
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bindings::stride_minor(x) == 1 );
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BOOST_ASSERT( bindings::stride_major(b) >= std::max< std::ptrdiff_t >(1,
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bindings::size_column_op(d, trans())) );
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BOOST_ASSERT( bindings::stride_major(x) >= std::max< std::ptrdiff_t >(1,
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bindings::size_column_op(d, trans())) );
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return detail::gtrfs( trans(), bindings::size_column_op(d, trans()),
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bindings::size_column(b), bindings::begin_value(dl),
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bindings::begin_value(d), bindings::begin_value(du),
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bindings::begin_value(dlf), bindings::begin_value(df),
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bindings::begin_value(duf), bindings::begin_value(du2),
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bindings::begin_value(ipiv), bindings::begin_value(b),
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bindings::stride_major(b), bindings::begin_value(x),
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bindings::stride_major(x), bindings::begin_value(ferr),
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bindings::begin_value(berr),
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bindings::begin_value(work.select(real_type())),
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bindings::begin_value(work.select(fortran_int_t())) );
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}
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//
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// Static member function that
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// * Figures out the minimal workspace requirements, and passes
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// the results to the user-defined workspace overload of the
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// invoke static member function
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// * Enables the unblocked algorithm (BLAS level 2)
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//
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template< typename VectorDL, typename VectorD, typename VectorDU,
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typename VectorDLF, typename VectorDF, typename VectorDUF,
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typename VectorDU2, typename VectorIPIV, typename MatrixB,
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typename MatrixX, typename VectorFERR, typename VectorBERR >
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static std::ptrdiff_t invoke( const VectorDL& dl, const VectorD& d,
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const VectorDU& du, const VectorDLF& dlf, const VectorDF& df,
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const VectorDUF& duf, const VectorDU2& du2,
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const VectorIPIV& ipiv, const MatrixB& b, MatrixX& x,
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VectorFERR& ferr, VectorBERR& berr, minimal_workspace ) {
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namespace bindings = ::boost::numeric::bindings;
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typedef tag::column_major order;
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typedef typename result_of::trans_tag< VectorD, order >::type trans;
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bindings::detail::array< real_type > tmp_work( min_size_work(
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bindings::size_column_op(d, trans()) ) );
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bindings::detail::array< fortran_int_t > tmp_iwork(
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min_size_iwork( bindings::size_column_op(d, trans()) ) );
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return invoke( dl, d, du, dlf, df, duf, du2, ipiv, b, x, ferr, berr,
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workspace( tmp_work, tmp_iwork ) );
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}
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//
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// Static member function that
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// * Figures out the optimal workspace requirements, and passes
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// the results to the user-defined workspace overload of the
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// invoke static member
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// * Enables the blocked algorithm (BLAS level 3)
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//
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template< typename VectorDL, typename VectorD, typename VectorDU,
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typename VectorDLF, typename VectorDF, typename VectorDUF,
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typename VectorDU2, typename VectorIPIV, typename MatrixB,
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typename MatrixX, typename VectorFERR, typename VectorBERR >
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static std::ptrdiff_t invoke( const VectorDL& dl, const VectorD& d,
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const VectorDU& du, const VectorDLF& dlf, const VectorDF& df,
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const VectorDUF& duf, const VectorDU2& du2,
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const VectorIPIV& ipiv, const MatrixB& b, MatrixX& x,
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VectorFERR& ferr, VectorBERR& berr, optimal_workspace ) {
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namespace bindings = ::boost::numeric::bindings;
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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
|