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556 lines
27 KiB
556 lines
27 KiB
// |
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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_GTSVX_HPP |
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#define BOOST_NUMERIC_BINDINGS_LAPACK_DRIVER_GTSVX_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 gtsvx 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 gtsvx( const char fact, const Trans, |
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const fortran_int_t n, const fortran_int_t nrhs, const float* dl, |
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const float* d, const float* du, float* dlf, float* df, float* duf, |
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float* du2, 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& rcond, float* ferr, float* berr, float* work, |
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fortran_int_t* iwork ) { |
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fortran_int_t info(0); |
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LAPACK_SGTSVX( &fact, &lapack_option< Trans >::value, &n, &nrhs, dl, d, |
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du, dlf, df, duf, du2, ipiv, b, &ldb, x, &ldx, &rcond, ferr, berr, |
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work, iwork, &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 gtsvx( const char fact, const Trans, |
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const fortran_int_t n, const fortran_int_t nrhs, const double* dl, |
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const double* d, const double* du, double* dlf, double* df, |
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double* duf, double* du2, fortran_int_t* ipiv, const 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_DGTSVX( &fact, &lapack_option< Trans >::value, &n, &nrhs, dl, d, |
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du, dlf, df, duf, du2, ipiv, b, &ldb, x, &ldx, &rcond, ferr, berr, |
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work, iwork, &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 gtsvx( const char fact, const Trans, |
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const fortran_int_t n, const fortran_int_t nrhs, |
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const std::complex<float>* dl, const std::complex<float>* d, |
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const std::complex<float>* du, std::complex<float>* dlf, |
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std::complex<float>* df, std::complex<float>* duf, |
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std::complex<float>* du2, fortran_int_t* ipiv, |
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const 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_CGTSVX( &fact, &lapack_option< Trans >::value, &n, &nrhs, dl, d, |
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du, dlf, df, duf, du2, ipiv, b, &ldb, x, &ldx, &rcond, ferr, berr, |
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work, rwork, &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 gtsvx( const char fact, const Trans, |
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const fortran_int_t n, const fortran_int_t nrhs, |
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const std::complex<double>* dl, const std::complex<double>* d, |
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const std::complex<double>* du, std::complex<double>* dlf, |
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std::complex<double>* df, std::complex<double>* duf, |
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std::complex<double>* du2, fortran_int_t* ipiv, |
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const 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_ZGTSVX( &fact, &lapack_option< Trans >::value, &n, &nrhs, dl, d, |
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du, dlf, df, duf, du2, ipiv, b, &ldb, x, &ldx, &rcond, ferr, berr, |
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work, rwork, &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 gtsvx. |
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// |
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template< typename Value, typename Enable = void > |
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struct gtsvx_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 gtsvx_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 char fact, const VectorDL& dl, |
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const VectorD& d, const VectorDU& du, VectorDLF& dlf, |
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VectorDF& df, VectorDUF& duf, VectorDU2& du2, VectorIPIV& ipiv, |
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const MatrixB& b, MatrixX& x, real_type& rcond, VectorFERR& ferr, |
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VectorBERR& berr, detail::workspace2< WORK, 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< VectorDLF >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorDF >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorDUF >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorDU2 >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorIPIV >::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(dl) >= 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(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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BOOST_ASSERT( fact == 'F' || fact == 'N' ); |
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return detail::gtsvx( fact, trans(), bindings::size_column_op(d, |
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trans()), 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), rcond, 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 char fact, const VectorDL& dl, |
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const VectorD& d, const VectorDU& du, VectorDLF& dlf, |
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VectorDF& df, VectorDUF& duf, VectorDU2& du2, VectorIPIV& ipiv, |
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const MatrixB& b, MatrixX& x, real_type& rcond, VectorFERR& ferr, |
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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( fact, dl, d, du, dlf, df, duf, du2, ipiv, b, x, rcond, |
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ferr, berr, 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 char fact, const VectorDL& dl, |
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const VectorD& d, const VectorDU& du, VectorDLF& dlf, |
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VectorDF& df, VectorDUF& duf, VectorDU2& du2, VectorIPIV& ipiv, |
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const MatrixB& b, MatrixX& x, real_type& rcond, VectorFERR& ferr, |
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VectorBERR& berr, optimal_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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return invoke( fact, dl, d, du, dlf, df, duf, du2, ipiv, b, x, rcond, |
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ferr, berr, 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 gtsvx_impl< Value, typename boost::enable_if< is_complex< Value > >::type > { |
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|
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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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// |
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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 RWORK > |
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static std::ptrdiff_t invoke( const char fact, const VectorDL& dl, |
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const VectorD& d, const VectorDU& du, VectorDLF& dlf, |
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VectorDF& df, VectorDUF& duf, VectorDU2& du2, VectorIPIV& ipiv, |
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const MatrixB& b, MatrixX& x, real_type& rcond, VectorFERR& ferr, |
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VectorBERR& berr, detail::workspace2< WORK, RWORK > 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< VectorFERR >::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( (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( (bindings::is_mutable< VectorDLF >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorDF >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorDUF >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorDU2 >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorIPIV >::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(dl) >= 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(work.select(real_type())) >= |
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min_size_rwork( bindings::size_column_op(d, trans()) )); |
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BOOST_ASSERT( bindings::size(work.select(value_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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BOOST_ASSERT( fact == 'F' || fact == 'N' ); |
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return detail::gtsvx( fact, trans(), bindings::size_column_op(d, |
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trans()), 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), |
|
bindings::begin_value(ipiv), 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 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 char fact, const VectorDL& dl, |
|
const VectorD& d, const VectorDU& du, VectorDLF& dlf, |
|
VectorDF& df, VectorDUF& duf, VectorDU2& du2, VectorIPIV& ipiv, |
|
const MatrixB& b, MatrixX& x, real_type& rcond, 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( fact, dl, d, du, dlf, df, duf, du2, ipiv, 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 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 char fact, const VectorDL& dl, |
|
const VectorD& d, const VectorDU& du, VectorDLF& dlf, |
|
VectorDF& df, VectorDUF& duf, VectorDU2& du2, VectorIPIV& ipiv, |
|
const MatrixB& b, MatrixX& x, real_type& rcond, 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( fact, dl, d, du, dlf, df, duf, du2, ipiv, 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 gtsvx_impl classes. In the |
|
// documentation, most overloads are collapsed to avoid a large number of |
|
// prototypes which are very similar. |
|
// |
|
|
|
// |
|
// Overloaded function for gtsvx. 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 |
|
gtsvx( const char fact, const VectorDL& dl, const VectorD& d, |
|
const VectorDU& du, VectorDLF& dlf, VectorDF& df, VectorDUF& duf, |
|
VectorDU2& du2, VectorIPIV& ipiv, const MatrixB& b, MatrixX& x, |
|
typename remove_imaginary< typename bindings::value_type< |
|
VectorDL >::type >::type& rcond, VectorFERR& ferr, VectorBERR& berr, |
|
Workspace work ) { |
|
return gtsvx_impl< typename bindings::value_type< |
|
VectorDL >::type >::invoke( fact, dl, d, du, dlf, df, duf, du2, |
|
ipiv, b, x, rcond, ferr, berr, work ); |
|
} |
|
|
|
// |
|
// Overloaded function for gtsvx. 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 |
|
gtsvx( const char fact, const VectorDL& dl, const VectorD& d, |
|
const VectorDU& du, VectorDLF& dlf, VectorDF& df, VectorDUF& duf, |
|
VectorDU2& du2, VectorIPIV& ipiv, const MatrixB& b, MatrixX& x, |
|
typename remove_imaginary< typename bindings::value_type< |
|
VectorDL >::type >::type& rcond, VectorFERR& ferr, VectorBERR& berr ) { |
|
return gtsvx_impl< typename bindings::value_type< |
|
VectorDL >::type >::invoke( fact, dl, d, du, dlf, df, duf, du2, |
|
ipiv, b, x, rcond, ferr, berr, optimal_workspace() ); |
|
} |
|
|
|
} // namespace lapack |
|
} // namespace bindings |
|
} // namespace numeric |
|
} // namespace boost |
|
|
|
#endif
|
|
|