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475 lines
21 KiB
475 lines
21 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_DRIVER_PPSVX_HPP
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#define BOOST_NUMERIC_BINDINGS_LAPACK_DRIVER_PPSVX_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/uplo_tag.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 ppsvx 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 UpLo >
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inline std::ptrdiff_t ppsvx( const char fact, const UpLo,
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const fortran_int_t n, const fortran_int_t nrhs, float* ap,
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float* afp, char& equed, float* s, float* b, const fortran_int_t ldb,
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float* x, const fortran_int_t ldx, float& rcond, float* ferr,
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float* berr, float* work, fortran_int_t* iwork ) {
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fortran_int_t info(0);
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LAPACK_SPPSVX( &fact, &lapack_option< UpLo >::value, &n, &nrhs, ap, afp,
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&equed, s, b, &ldb, x, &ldx, &rcond, 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 UpLo >
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inline std::ptrdiff_t ppsvx( const char fact, const UpLo,
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const fortran_int_t n, const fortran_int_t nrhs, double* ap,
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double* afp, char& equed, double* s, double* b,
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const fortran_int_t ldb, double* x, const fortran_int_t ldx,
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double& rcond, 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_DPPSVX( &fact, &lapack_option< UpLo >::value, &n, &nrhs, ap, afp,
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&equed, s, b, &ldb, x, &ldx, &rcond, 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 UpLo >
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inline std::ptrdiff_t ppsvx( const char fact, const UpLo,
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const fortran_int_t n, const fortran_int_t nrhs,
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std::complex<float>* ap, std::complex<float>* afp, char& equed,
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float* s, std::complex<float>* b, const fortran_int_t ldb,
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std::complex<float>* x, const fortran_int_t ldx, float& rcond,
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float* ferr, float* berr, std::complex<float>* work, float* rwork ) {
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fortran_int_t info(0);
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LAPACK_CPPSVX( &fact, &lapack_option< UpLo >::value, &n, &nrhs, ap, afp,
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&equed, s, b, &ldb, x, &ldx, &rcond, 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 UpLo >
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inline std::ptrdiff_t ppsvx( const char fact, const UpLo,
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const fortran_int_t n, const fortran_int_t nrhs,
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std::complex<double>* ap, std::complex<double>* afp, char& equed,
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double* s, std::complex<double>* b, const fortran_int_t ldb,
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std::complex<double>* x, const fortran_int_t ldx, double& rcond,
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double* ferr, double* berr, std::complex<double>* work,
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double* rwork ) {
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fortran_int_t info(0);
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LAPACK_ZPPSVX( &fact, &lapack_option< UpLo >::value, &n, &nrhs, ap, afp,
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&equed, s, b, &ldb, x, &ldx, &rcond, 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 ppsvx.
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//
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template< typename Value, typename Enable = void >
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struct ppsvx_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 ppsvx_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 MatrixAP, typename VectorAFP, typename VectorS,
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typename MatrixB, typename MatrixX, typename VectorFERR,
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typename VectorBERR, typename WORK, typename IWORK >
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static std::ptrdiff_t invoke( const char fact, MatrixAP& ap,
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VectorAFP& afp, char& equed, VectorS& s, MatrixB& b, MatrixX& x,
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real_type& rcond, VectorFERR& ferr, VectorBERR& berr,
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detail::workspace2< WORK, IWORK > work ) {
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namespace bindings = ::boost::numeric::bindings;
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typedef typename result_of::uplo_tag< MatrixAP >::type uplo;
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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< MatrixAP >::type >::type,
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typename remove_const< typename bindings::value_type<
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VectorAFP >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< MatrixAP >::type >::type,
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typename remove_const< typename bindings::value_type<
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VectorS >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< MatrixAP >::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< MatrixAP >::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< MatrixAP >::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< MatrixAP >::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< MatrixAP >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorAFP >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorS >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixB >::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(work.select(fortran_int_t())) >=
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min_size_iwork( bindings::size_column(ap) ));
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BOOST_ASSERT( bindings::size(work.select(real_type())) >=
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min_size_work( bindings::size_column(ap) ));
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BOOST_ASSERT( bindings::size_column(ap) >= 0 );
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BOOST_ASSERT( bindings::size_column(b) >= 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(ap)) );
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BOOST_ASSERT( bindings::stride_major(x) >= std::max< std::ptrdiff_t >(1,
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bindings::size_column(ap)) );
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BOOST_ASSERT( equed == 'N' || equed == 'Y' );
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BOOST_ASSERT( fact == 'F' || fact == 'Y' || fact == 'N' ||
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fact == 'E' );
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return detail::ppsvx( fact, uplo(), bindings::size_column(ap),
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bindings::size_column(b), bindings::begin_value(ap),
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bindings::begin_value(afp), equed, bindings::begin_value(s),
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bindings::begin_value(b), bindings::stride_major(b),
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bindings::begin_value(x), bindings::stride_major(x), rcond,
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bindings::begin_value(ferr), 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 MatrixAP, typename VectorAFP, typename VectorS,
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typename MatrixB, typename MatrixX, typename VectorFERR,
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typename VectorBERR >
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static std::ptrdiff_t invoke( const char fact, MatrixAP& ap,
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VectorAFP& afp, char& equed, VectorS& s, MatrixB& b, MatrixX& x,
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real_type& rcond, VectorFERR& ferr, VectorBERR& berr,
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minimal_workspace ) {
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namespace bindings = ::boost::numeric::bindings;
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typedef typename result_of::uplo_tag< MatrixAP >::type uplo;
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bindings::detail::array< real_type > tmp_work( min_size_work(
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bindings::size_column(ap) ) );
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bindings::detail::array< fortran_int_t > tmp_iwork(
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min_size_iwork( bindings::size_column(ap) ) );
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return invoke( fact, ap, afp, equed, s, b, x, rcond, 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 MatrixAP, typename VectorAFP, typename VectorS,
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typename MatrixB, typename MatrixX, typename VectorFERR,
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typename VectorBERR >
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static std::ptrdiff_t invoke( const char fact, MatrixAP& ap,
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VectorAFP& afp, char& equed, VectorS& s, MatrixB& b, MatrixX& x,
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real_type& rcond, VectorFERR& ferr, VectorBERR& berr,
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optimal_workspace ) {
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namespace bindings = ::boost::numeric::bindings;
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typedef typename result_of::uplo_tag< MatrixAP >::type uplo;
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return invoke( fact, ap, afp, equed, s, b, x, rcond, ferr, berr,
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minimal_workspace() );
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}
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//
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// Static member function that returns the minimum size of
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// workspace-array work.
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//
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static std::ptrdiff_t min_size_work( const std::ptrdiff_t n ) {
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return 3*n;
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}
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//
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// Static member function that returns the minimum size of
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// workspace-array iwork.
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//
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static std::ptrdiff_t min_size_iwork( const std::ptrdiff_t n ) {
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return n;
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}
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};
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//
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// This implementation is enabled if Value is a complex type.
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//
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template< typename Value >
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struct ppsvx_impl< Value, typename boost::enable_if< is_complex< 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 MatrixAP, typename VectorAFP, typename VectorS,
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typename MatrixB, typename MatrixX, typename VectorFERR,
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typename VectorBERR, typename WORK, typename RWORK >
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static std::ptrdiff_t invoke( const char fact, MatrixAP& ap,
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VectorAFP& afp, char& equed, VectorS& s, MatrixB& b, MatrixX& x,
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real_type& rcond, VectorFERR& ferr, VectorBERR& berr,
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detail::workspace2< WORK, RWORK > work ) {
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namespace bindings = ::boost::numeric::bindings;
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typedef typename result_of::uplo_tag< MatrixAP >::type uplo;
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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< VectorS >::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< VectorS >::type >::type,
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typename remove_const< typename bindings::value_type<
|
||
|
|
VectorBERR >::type >::type >::value) );
|
||
|
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
|
typename bindings::value_type< MatrixAP >::type >::type,
|
||
|
|
typename remove_const< typename bindings::value_type<
|
||
|
|
VectorAFP >::type >::type >::value) );
|
||
|
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
|
typename bindings::value_type< MatrixAP >::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< MatrixAP >::type >::type,
|
||
|
|
typename remove_const< typename bindings::value_type<
|
||
|
|
MatrixX >::type >::type >::value) );
|
||
|
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixAP >::value) );
|
||
|
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorAFP >::value) );
|
||
|
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorS >::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(ap) ));
|
||
|
|
BOOST_ASSERT( bindings::size(work.select(value_type())) >=
|
||
|
|
min_size_work( bindings::size_column(ap) ));
|
||
|
|
BOOST_ASSERT( bindings::size_column(ap) >= 0 );
|
||
|
|
BOOST_ASSERT( bindings::size_column(b) >= 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(ap)) );
|
||
|
|
BOOST_ASSERT( bindings::stride_major(x) >= std::max< std::ptrdiff_t >(1,
|
||
|
|
bindings::size_column(ap)) );
|
||
|
|
BOOST_ASSERT( equed == 'N' || equed == 'Y' );
|
||
|
|
BOOST_ASSERT( fact == 'F' || fact == 'Y' || fact == 'N' ||
|
||
|
|
fact == 'E' );
|
||
|
|
return detail::ppsvx( fact, uplo(), bindings::size_column(ap),
|
||
|
|
bindings::size_column(b), bindings::begin_value(ap),
|
||
|
|
bindings::begin_value(afp), equed, bindings::begin_value(s),
|
||
|
|
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 MatrixAP, typename VectorAFP, typename VectorS,
|
||
|
|
typename MatrixB, typename MatrixX, typename VectorFERR,
|
||
|
|
typename VectorBERR >
|
||
|
|
static std::ptrdiff_t invoke( const char fact, MatrixAP& ap,
|
||
|
|
VectorAFP& afp, char& equed, VectorS& s, MatrixB& b, MatrixX& x,
|
||
|
|
real_type& rcond, VectorFERR& ferr, VectorBERR& berr,
|
||
|
|
minimal_workspace ) {
|
||
|
|
namespace bindings = ::boost::numeric::bindings;
|
||
|
|
typedef typename result_of::uplo_tag< MatrixAP >::type uplo;
|
||
|
|
bindings::detail::array< value_type > tmp_work( min_size_work(
|
||
|
|
bindings::size_column(ap) ) );
|
||
|
|
bindings::detail::array< real_type > tmp_rwork( min_size_rwork(
|
||
|
|
bindings::size_column(ap) ) );
|
||
|
|
return invoke( fact, ap, afp, equed, s, 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 MatrixAP, typename VectorAFP, typename VectorS,
|
||
|
|
typename MatrixB, typename MatrixX, typename VectorFERR,
|
||
|
|
typename VectorBERR >
|
||
|
|
static std::ptrdiff_t invoke( const char fact, MatrixAP& ap,
|
||
|
|
VectorAFP& afp, char& equed, VectorS& s, MatrixB& b, MatrixX& x,
|
||
|
|
real_type& rcond, VectorFERR& ferr, VectorBERR& berr,
|
||
|
|
optimal_workspace ) {
|
||
|
|
namespace bindings = ::boost::numeric::bindings;
|
||
|
|
typedef typename result_of::uplo_tag< MatrixAP >::type uplo;
|
||
|
|
return invoke( fact, ap, afp, equed, s, 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 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 ppsvx_impl classes. In the
|
||
|
|
// documentation, most overloads are collapsed to avoid a large number of
|
||
|
|
// prototypes which are very similar.
|
||
|
|
//
|
||
|
|
|
||
|
|
//
|
||
|
|
// Overloaded function for ppsvx. Its overload differs for
|
||
|
|
// * User-defined workspace
|
||
|
|
//
|
||
|
|
template< typename MatrixAP, typename VectorAFP, typename VectorS,
|
||
|
|
typename MatrixB, typename MatrixX, typename VectorFERR,
|
||
|
|
typename VectorBERR, typename Workspace >
|
||
|
|
inline typename boost::enable_if< detail::is_workspace< Workspace >,
|
||
|
|
std::ptrdiff_t >::type
|
||
|
|
ppsvx( const char fact, MatrixAP& ap, VectorAFP& afp, char& equed,
|
||
|
|
VectorS& s, MatrixB& b, MatrixX& x, typename remove_imaginary<
|
||
|
|
typename bindings::value_type< MatrixAP >::type >::type& rcond,
|
||
|
|
VectorFERR& ferr, VectorBERR& berr, Workspace work ) {
|
||
|
|
return ppsvx_impl< typename bindings::value_type<
|
||
|
|
MatrixAP >::type >::invoke( fact, ap, afp, equed, s, b, x, rcond,
|
||
|
|
ferr, berr, work );
|
||
|
|
}
|
||
|
|
|
||
|
|
//
|
||
|
|
// Overloaded function for ppsvx. Its overload differs for
|
||
|
|
// * Default workspace-type (optimal)
|
||
|
|
//
|
||
|
|
template< typename MatrixAP, typename VectorAFP, typename VectorS,
|
||
|
|
typename MatrixB, typename MatrixX, typename VectorFERR,
|
||
|
|
typename VectorBERR >
|
||
|
|
inline typename boost::disable_if< detail::is_workspace< VectorBERR >,
|
||
|
|
std::ptrdiff_t >::type
|
||
|
|
ppsvx( const char fact, MatrixAP& ap, VectorAFP& afp, char& equed,
|
||
|
|
VectorS& s, MatrixB& b, MatrixX& x, typename remove_imaginary<
|
||
|
|
typename bindings::value_type< MatrixAP >::type >::type& rcond,
|
||
|
|
VectorFERR& ferr, VectorBERR& berr ) {
|
||
|
|
return ppsvx_impl< typename bindings::value_type<
|
||
|
|
MatrixAP >::type >::invoke( fact, ap, afp, equed, s, b, x, rcond,
|
||
|
|
ferr, berr, optimal_workspace() );
|
||
|
|
}
|
||
|
|
|
||
|
|
} // namespace lapack
|
||
|
|
} // namespace bindings
|
||
|
|
} // namespace numeric
|
||
|
|
} // namespace boost
|
||
|
|
|
||
|
|
#endif
|