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756 lines
37 KiB
756 lines
37 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_GGEVX_HPP |
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#define BOOST_NUMERIC_BINDINGS_LAPACK_DRIVER_GGEVX_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/traits/detail/utils.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 ggevx 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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inline std::ptrdiff_t ggevx( const char balanc, const char jobvl, |
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const char jobvr, const char sense, const fortran_int_t n, float* a, |
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const fortran_int_t lda, float* b, const fortran_int_t ldb, |
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float* alphar, float* alphai, float* beta, float* vl, |
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const fortran_int_t ldvl, float* vr, const fortran_int_t ldvr, |
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fortran_int_t& ilo, fortran_int_t& ihi, float* lscale, float* rscale, |
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float& abnrm, float& bbnrm, float* rconde, float* rcondv, float* work, |
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const fortran_int_t lwork, fortran_int_t* iwork, |
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fortran_bool_t* bwork ) { |
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fortran_int_t info(0); |
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LAPACK_SGGEVX( &balanc, &jobvl, &jobvr, &sense, &n, a, &lda, b, &ldb, |
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alphar, alphai, beta, vl, &ldvl, vr, &ldvr, &ilo, &ihi, lscale, |
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rscale, &abnrm, &bbnrm, rconde, rcondv, work, &lwork, iwork, |
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bwork, &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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inline std::ptrdiff_t ggevx( const char balanc, const char jobvl, |
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const char jobvr, const char sense, const fortran_int_t n, double* a, |
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const fortran_int_t lda, double* b, const fortran_int_t ldb, |
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double* alphar, double* alphai, double* beta, double* vl, |
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const fortran_int_t ldvl, double* vr, const fortran_int_t ldvr, |
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fortran_int_t& ilo, fortran_int_t& ihi, double* lscale, |
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double* rscale, double& abnrm, double& bbnrm, double* rconde, |
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double* rcondv, double* work, const fortran_int_t lwork, |
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fortran_int_t* iwork, fortran_bool_t* bwork ) { |
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fortran_int_t info(0); |
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LAPACK_DGGEVX( &balanc, &jobvl, &jobvr, &sense, &n, a, &lda, b, &ldb, |
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alphar, alphai, beta, vl, &ldvl, vr, &ldvr, &ilo, &ihi, lscale, |
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rscale, &abnrm, &bbnrm, rconde, rcondv, work, &lwork, iwork, |
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bwork, &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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inline std::ptrdiff_t ggevx( const char balanc, const char jobvl, |
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const char jobvr, const char sense, const fortran_int_t n, |
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std::complex<float>* a, const fortran_int_t lda, |
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std::complex<float>* b, const fortran_int_t ldb, |
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std::complex<float>* alpha, std::complex<float>* beta, |
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std::complex<float>* vl, const fortran_int_t ldvl, |
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std::complex<float>* vr, const fortran_int_t ldvr, fortran_int_t& ilo, |
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fortran_int_t& ihi, float* lscale, float* rscale, float& abnrm, |
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float& bbnrm, float* rconde, float* rcondv, std::complex<float>* work, |
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const fortran_int_t lwork, float* rwork, fortran_int_t* iwork, |
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fortran_bool_t* bwork ) { |
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fortran_int_t info(0); |
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LAPACK_CGGEVX( &balanc, &jobvl, &jobvr, &sense, &n, a, &lda, b, &ldb, |
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alpha, beta, vl, &ldvl, vr, &ldvr, &ilo, &ihi, lscale, rscale, |
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&abnrm, &bbnrm, rconde, rcondv, work, &lwork, rwork, iwork, bwork, |
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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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inline std::ptrdiff_t ggevx( const char balanc, const char jobvl, |
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const char jobvr, const char sense, const fortran_int_t n, |
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std::complex<double>* a, const fortran_int_t lda, |
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std::complex<double>* b, const fortran_int_t ldb, |
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std::complex<double>* alpha, std::complex<double>* beta, |
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std::complex<double>* vl, const fortran_int_t ldvl, |
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std::complex<double>* vr, const fortran_int_t ldvr, |
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fortran_int_t& ilo, fortran_int_t& ihi, double* lscale, |
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double* rscale, double& abnrm, double& bbnrm, double* rconde, |
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double* rcondv, std::complex<double>* work, const fortran_int_t lwork, |
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double* rwork, fortran_int_t* iwork, fortran_bool_t* bwork ) { |
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fortran_int_t info(0); |
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LAPACK_ZGGEVX( &balanc, &jobvl, &jobvr, &sense, &n, a, &lda, b, &ldb, |
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alpha, beta, vl, &ldvl, vr, &ldvr, &ilo, &ihi, lscale, rscale, |
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&abnrm, &bbnrm, rconde, rcondv, work, &lwork, rwork, iwork, bwork, |
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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 ggevx. |
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// |
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template< typename Value, typename Enable = void > |
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struct ggevx_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 ggevx_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 MatrixA, typename MatrixB, typename VectorALPHAR, |
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typename VectorALPHAI, typename VectorBETA, typename MatrixVL, |
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typename MatrixVR, typename VectorLSCALE, typename VectorRSCALE, |
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typename VectorRCONDE, typename VectorRCONDV, typename WORK, |
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typename IWORK, typename BWORK > |
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static std::ptrdiff_t invoke( const char balanc, const char jobvl, |
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const char jobvr, const char sense, MatrixA& a, MatrixB& b, |
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VectorALPHAR& alphar, VectorALPHAI& alphai, VectorBETA& beta, |
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MatrixVL& vl, MatrixVR& vr, fortran_int_t& ilo, |
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fortran_int_t& ihi, VectorLSCALE& lscale, |
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VectorRSCALE& rscale, real_type& abnrm, real_type& bbnrm, |
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VectorRCONDE& rconde, VectorRCONDV& rcondv, detail::workspace3< |
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WORK, IWORK, BWORK > work ) { |
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namespace bindings = ::boost::numeric::bindings; |
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixA >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixB >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixVL >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixVR >::value) ); |
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
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typename bindings::value_type< MatrixA >::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< MatrixA >::type >::type, |
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typename remove_const< typename bindings::value_type< |
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VectorALPHAR >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
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typename bindings::value_type< MatrixA >::type >::type, |
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typename remove_const< typename bindings::value_type< |
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VectorALPHAI >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
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typename bindings::value_type< MatrixA >::type >::type, |
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typename remove_const< typename bindings::value_type< |
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VectorBETA >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
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typename bindings::value_type< MatrixA >::type >::type, |
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typename remove_const< typename bindings::value_type< |
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MatrixVL >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
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typename bindings::value_type< MatrixA >::type >::type, |
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typename remove_const< typename bindings::value_type< |
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MatrixVR >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
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typename bindings::value_type< MatrixA >::type >::type, |
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typename remove_const< typename bindings::value_type< |
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VectorLSCALE >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
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typename bindings::value_type< MatrixA >::type >::type, |
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typename remove_const< typename bindings::value_type< |
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VectorRSCALE >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
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typename bindings::value_type< MatrixA >::type >::type, |
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typename remove_const< typename bindings::value_type< |
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VectorRCONDE >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
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typename bindings::value_type< MatrixA >::type >::type, |
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typename remove_const< typename bindings::value_type< |
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VectorRCONDV >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixA >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixB >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorALPHAR >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorALPHAI >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorBETA >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixVL >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixVR >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorLSCALE >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorRSCALE >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorRCONDE >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorRCONDV >::value) ); |
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BOOST_ASSERT( bindings::size(alphai) >= bindings::size_column(a) ); |
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BOOST_ASSERT( bindings::size(alphar) >= bindings::size_column(a) ); |
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BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >= |
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min_size_iwork( sense, bindings::size_column(a) )); |
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BOOST_ASSERT( bindings::size(work.select(fortran_bool_t())) >= |
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min_size_bwork( sense, bindings::size_column(a) )); |
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BOOST_ASSERT( bindings::size(work.select(real_type())) >= |
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min_size_work( balanc, jobvl, jobvr, sense, |
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bindings::size_column(a) )); |
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BOOST_ASSERT( bindings::size_column(a) >= 0 ); |
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BOOST_ASSERT( bindings::size_minor(a) == 1 || |
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bindings::stride_minor(a) == 1 ); |
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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(vl) == 1 || |
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bindings::stride_minor(vl) == 1 ); |
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BOOST_ASSERT( bindings::size_minor(vr) == 1 || |
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bindings::stride_minor(vr) == 1 ); |
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BOOST_ASSERT( bindings::stride_major(a) >= std::max< std::ptrdiff_t >(1, |
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bindings::size_column(a)) ); |
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BOOST_ASSERT( bindings::stride_major(b) >= std::max< std::ptrdiff_t >(1, |
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bindings::size_column(a)) ); |
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BOOST_ASSERT( balanc == 'N' || balanc == 'P' || balanc == 'S' || |
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balanc == 'B' ); |
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BOOST_ASSERT( jobvl == 'N' || jobvl == 'V' ); |
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BOOST_ASSERT( jobvr == 'N' || jobvr == 'V' ); |
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BOOST_ASSERT( sense == 'N' || sense == 'E' || sense == 'V' || |
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sense == 'B' ); |
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return detail::ggevx( balanc, jobvl, jobvr, sense, |
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bindings::size_column(a), bindings::begin_value(a), |
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bindings::stride_major(a), bindings::begin_value(b), |
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bindings::stride_major(b), bindings::begin_value(alphar), |
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bindings::begin_value(alphai), bindings::begin_value(beta), |
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bindings::begin_value(vl), bindings::stride_major(vl), |
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bindings::begin_value(vr), bindings::stride_major(vr), ilo, |
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ihi, bindings::begin_value(lscale), |
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bindings::begin_value(rscale), abnrm, bbnrm, |
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bindings::begin_value(rconde), bindings::begin_value(rcondv), |
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bindings::begin_value(work.select(real_type())), |
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bindings::size(work.select(real_type())), |
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bindings::begin_value(work.select(fortran_int_t())), |
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bindings::begin_value(work.select(fortran_bool_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 MatrixA, typename MatrixB, typename VectorALPHAR, |
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typename VectorALPHAI, typename VectorBETA, typename MatrixVL, |
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typename MatrixVR, typename VectorLSCALE, typename VectorRSCALE, |
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typename VectorRCONDE, typename VectorRCONDV > |
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static std::ptrdiff_t invoke( const char balanc, const char jobvl, |
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const char jobvr, const char sense, MatrixA& a, MatrixB& b, |
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VectorALPHAR& alphar, VectorALPHAI& alphai, VectorBETA& beta, |
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MatrixVL& vl, MatrixVR& vr, fortran_int_t& ilo, |
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fortran_int_t& ihi, VectorLSCALE& lscale, |
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VectorRSCALE& rscale, real_type& abnrm, real_type& bbnrm, |
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VectorRCONDE& rconde, VectorRCONDV& rcondv, minimal_workspace ) { |
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namespace bindings = ::boost::numeric::bindings; |
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bindings::detail::array< real_type > tmp_work( min_size_work( balanc, |
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jobvl, jobvr, sense, bindings::size_column(a) ) ); |
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bindings::detail::array< fortran_int_t > tmp_iwork( |
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min_size_iwork( sense, bindings::size_column(a) ) ); |
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bindings::detail::array< fortran_bool_t > tmp_bwork( min_size_bwork( |
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sense, bindings::size_column(a) ) ); |
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return invoke( balanc, jobvl, jobvr, sense, a, b, alphar, alphai, |
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beta, vl, vr, ilo, ihi, lscale, rscale, abnrm, bbnrm, rconde, |
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rcondv, workspace( tmp_work, tmp_iwork, tmp_bwork ) ); |
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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 MatrixA, typename MatrixB, typename VectorALPHAR, |
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typename VectorALPHAI, typename VectorBETA, typename MatrixVL, |
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typename MatrixVR, typename VectorLSCALE, typename VectorRSCALE, |
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typename VectorRCONDE, typename VectorRCONDV > |
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static std::ptrdiff_t invoke( const char balanc, const char jobvl, |
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const char jobvr, const char sense, MatrixA& a, MatrixB& b, |
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VectorALPHAR& alphar, VectorALPHAI& alphai, VectorBETA& beta, |
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MatrixVL& vl, MatrixVR& vr, fortran_int_t& ilo, |
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fortran_int_t& ihi, VectorLSCALE& lscale, |
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VectorRSCALE& rscale, real_type& abnrm, real_type& bbnrm, |
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VectorRCONDE& rconde, VectorRCONDV& rcondv, optimal_workspace ) { |
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namespace bindings = ::boost::numeric::bindings; |
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real_type opt_size_work; |
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bindings::detail::array< fortran_int_t > tmp_iwork( |
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min_size_iwork( sense, bindings::size_column(a) ) ); |
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bindings::detail::array< fortran_bool_t > tmp_bwork( min_size_bwork( |
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sense, bindings::size_column(a) ) ); |
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detail::ggevx( balanc, jobvl, jobvr, sense, |
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bindings::size_column(a), bindings::begin_value(a), |
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bindings::stride_major(a), bindings::begin_value(b), |
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bindings::stride_major(b), bindings::begin_value(alphar), |
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bindings::begin_value(alphai), bindings::begin_value(beta), |
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bindings::begin_value(vl), bindings::stride_major(vl), |
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bindings::begin_value(vr), bindings::stride_major(vr), ilo, |
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ihi, bindings::begin_value(lscale), |
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bindings::begin_value(rscale), abnrm, bbnrm, |
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bindings::begin_value(rconde), bindings::begin_value(rcondv), |
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&opt_size_work, -1, bindings::begin_value(tmp_iwork), |
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bindings::begin_value(tmp_bwork) ); |
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bindings::detail::array< real_type > tmp_work( |
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traits::detail::to_int( opt_size_work ) ); |
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return invoke( balanc, jobvl, jobvr, sense, a, b, alphar, alphai, |
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beta, vl, vr, ilo, ihi, lscale, rscale, abnrm, bbnrm, rconde, |
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rcondv, workspace( tmp_work, tmp_iwork, tmp_bwork ) ); |
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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 char balanc, const char jobvl, |
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const char jobvr, const char sense, const std::ptrdiff_t n ) { |
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if ( balanc == 'S' || balanc == 'B' || jobvl == 'V' || jobvr == 'V' ) |
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return std::max< std::ptrdiff_t >( 1, 6*n ); |
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if ( sense == 'E' ) |
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return std::max< std::ptrdiff_t >( 1, 10*n ); |
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if ( sense == 'V' || sense == 'B' ) |
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return 2*n*n + 8*n + 16; |
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return std::max< std::ptrdiff_t >( 1, 2*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 char sense, |
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const std::ptrdiff_t n ) { |
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if ( sense == 'E' ) |
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return 0; |
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else |
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return n+6; |
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} |
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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 bwork. |
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// |
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static std::ptrdiff_t min_size_bwork( const char sense, |
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const std::ptrdiff_t n ) { |
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if ( sense == 'N' ) |
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return 0; |
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else |
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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 ggevx_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 MatrixA, typename MatrixB, typename VectorALPHA, |
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typename VectorBETA, typename MatrixVL, typename MatrixVR, |
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typename VectorLSCALE, typename VectorRSCALE, |
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typename VectorRCONDE, typename VectorRCONDV, typename WORK, |
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typename RWORK, typename IWORK, typename BWORK > |
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static std::ptrdiff_t invoke( const char balanc, const char jobvl, |
|
const char jobvr, const char sense, MatrixA& a, MatrixB& b, |
|
VectorALPHA& alpha, VectorBETA& beta, MatrixVL& vl, MatrixVR& vr, |
|
fortran_int_t& ilo, fortran_int_t& ihi, |
|
VectorLSCALE& lscale, VectorRSCALE& rscale, real_type& abnrm, |
|
real_type& bbnrm, VectorRCONDE& rconde, VectorRCONDV& rcondv, |
|
detail::workspace4< WORK, RWORK, IWORK, BWORK > work ) { |
|
namespace bindings = ::boost::numeric::bindings; |
|
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixA >::value) ); |
|
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixB >::value) ); |
|
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixVL >::value) ); |
|
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixVR >::value) ); |
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
|
typename bindings::value_type< VectorLSCALE >::type >::type, |
|
typename remove_const< typename bindings::value_type< |
|
VectorRSCALE >::type >::type >::value) ); |
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
|
typename bindings::value_type< VectorLSCALE >::type >::type, |
|
typename remove_const< typename bindings::value_type< |
|
VectorRCONDE >::type >::type >::value) ); |
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
|
typename bindings::value_type< VectorLSCALE >::type >::type, |
|
typename remove_const< typename bindings::value_type< |
|
VectorRCONDV >::type >::type >::value) ); |
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
|
typename bindings::value_type< MatrixA >::type >::type, |
|
typename remove_const< typename bindings::value_type< |
|
MatrixB >::type >::type >::value) ); |
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
|
typename bindings::value_type< MatrixA >::type >::type, |
|
typename remove_const< typename bindings::value_type< |
|
VectorALPHA >::type >::type >::value) ); |
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
|
typename bindings::value_type< MatrixA >::type >::type, |
|
typename remove_const< typename bindings::value_type< |
|
VectorBETA >::type >::type >::value) ); |
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
|
typename bindings::value_type< MatrixA >::type >::type, |
|
typename remove_const< typename bindings::value_type< |
|
MatrixVL >::type >::type >::value) ); |
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
|
typename bindings::value_type< MatrixA >::type >::type, |
|
typename remove_const< typename bindings::value_type< |
|
MatrixVR >::type >::type >::value) ); |
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixA >::value) ); |
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixB >::value) ); |
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorALPHA >::value) ); |
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorBETA >::value) ); |
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixVL >::value) ); |
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixVR >::value) ); |
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorLSCALE >::value) ); |
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorRSCALE >::value) ); |
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorRCONDE >::value) ); |
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorRCONDV >::value) ); |
|
BOOST_ASSERT( bindings::size(alpha) >= bindings::size_column(a) ); |
|
BOOST_ASSERT( bindings::size(beta) >= bindings::size_column(a) ); |
|
BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >= |
|
min_size_iwork( sense, bindings::size_column(a) )); |
|
BOOST_ASSERT( bindings::size(work.select(fortran_bool_t())) >= |
|
min_size_bwork( sense, bindings::size_column(a) )); |
|
BOOST_ASSERT( bindings::size(work.select(real_type())) >= |
|
min_size_rwork( balanc, bindings::size_column(a) )); |
|
BOOST_ASSERT( bindings::size(work.select(value_type())) >= |
|
min_size_work( sense, bindings::size_column(a) )); |
|
BOOST_ASSERT( bindings::size_column(a) >= 0 ); |
|
BOOST_ASSERT( bindings::size_minor(a) == 1 || |
|
bindings::stride_minor(a) == 1 ); |
|
BOOST_ASSERT( bindings::size_minor(b) == 1 || |
|
bindings::stride_minor(b) == 1 ); |
|
BOOST_ASSERT( bindings::size_minor(vl) == 1 || |
|
bindings::stride_minor(vl) == 1 ); |
|
BOOST_ASSERT( bindings::size_minor(vr) == 1 || |
|
bindings::stride_minor(vr) == 1 ); |
|
BOOST_ASSERT( bindings::stride_major(a) >= std::max< std::ptrdiff_t >(1, |
|
bindings::size_column(a)) ); |
|
BOOST_ASSERT( bindings::stride_major(b) >= std::max< std::ptrdiff_t >(1, |
|
bindings::size_column(a)) ); |
|
BOOST_ASSERT( balanc == 'N' || balanc == 'P' || balanc == 'S' || |
|
balanc == 'B' ); |
|
BOOST_ASSERT( jobvl == 'N' || jobvl == 'V' ); |
|
BOOST_ASSERT( jobvr == 'N' || jobvr == 'V' ); |
|
BOOST_ASSERT( sense == 'N' || sense == 'E' || sense == 'V' || |
|
sense == 'B' ); |
|
return detail::ggevx( balanc, jobvl, jobvr, sense, |
|
bindings::size_column(a), bindings::begin_value(a), |
|
bindings::stride_major(a), bindings::begin_value(b), |
|
bindings::stride_major(b), bindings::begin_value(alpha), |
|
bindings::begin_value(beta), bindings::begin_value(vl), |
|
bindings::stride_major(vl), bindings::begin_value(vr), |
|
bindings::stride_major(vr), ilo, ihi, |
|
bindings::begin_value(lscale), bindings::begin_value(rscale), |
|
abnrm, bbnrm, bindings::begin_value(rconde), |
|
bindings::begin_value(rcondv), |
|
bindings::begin_value(work.select(value_type())), |
|
bindings::size(work.select(value_type())), |
|
bindings::begin_value(work.select(real_type())), |
|
bindings::begin_value(work.select(fortran_int_t())), |
|
bindings::begin_value(work.select(fortran_bool_t())) ); |
|
} |
|
|
|
// |
|
// Static member function that |
|
// * Figures out the minimal workspace requirements, and passes |
|
// the results to the user-defined workspace overload of the |
|
// invoke static member function |
|
// * Enables the unblocked algorithm (BLAS level 2) |
|
// |
|
template< typename MatrixA, typename MatrixB, typename VectorALPHA, |
|
typename VectorBETA, typename MatrixVL, typename MatrixVR, |
|
typename VectorLSCALE, typename VectorRSCALE, |
|
typename VectorRCONDE, typename VectorRCONDV > |
|
static std::ptrdiff_t invoke( const char balanc, const char jobvl, |
|
const char jobvr, const char sense, MatrixA& a, MatrixB& b, |
|
VectorALPHA& alpha, VectorBETA& beta, MatrixVL& vl, MatrixVR& vr, |
|
fortran_int_t& ilo, fortran_int_t& ihi, |
|
VectorLSCALE& lscale, VectorRSCALE& rscale, real_type& abnrm, |
|
real_type& bbnrm, VectorRCONDE& rconde, VectorRCONDV& rcondv, |
|
minimal_workspace ) { |
|
namespace bindings = ::boost::numeric::bindings; |
|
bindings::detail::array< value_type > tmp_work( min_size_work( sense, |
|
bindings::size_column(a) ) ); |
|
bindings::detail::array< real_type > tmp_rwork( min_size_rwork( |
|
balanc, bindings::size_column(a) ) ); |
|
bindings::detail::array< fortran_int_t > tmp_iwork( |
|
min_size_iwork( sense, bindings::size_column(a) ) ); |
|
bindings::detail::array< fortran_bool_t > tmp_bwork( min_size_bwork( |
|
sense, bindings::size_column(a) ) ); |
|
return invoke( balanc, jobvl, jobvr, sense, a, b, alpha, beta, vl, vr, |
|
ilo, ihi, lscale, rscale, abnrm, bbnrm, rconde, rcondv, |
|
workspace( tmp_work, tmp_rwork, tmp_iwork, tmp_bwork ) ); |
|
} |
|
|
|
// |
|
// Static member function that |
|
// * Figures out the optimal workspace requirements, and passes |
|
// the results to the user-defined workspace overload of the |
|
// invoke static member |
|
// * Enables the blocked algorithm (BLAS level 3) |
|
// |
|
template< typename MatrixA, typename MatrixB, typename VectorALPHA, |
|
typename VectorBETA, typename MatrixVL, typename MatrixVR, |
|
typename VectorLSCALE, typename VectorRSCALE, |
|
typename VectorRCONDE, typename VectorRCONDV > |
|
static std::ptrdiff_t invoke( const char balanc, const char jobvl, |
|
const char jobvr, const char sense, MatrixA& a, MatrixB& b, |
|
VectorALPHA& alpha, VectorBETA& beta, MatrixVL& vl, MatrixVR& vr, |
|
fortran_int_t& ilo, fortran_int_t& ihi, |
|
VectorLSCALE& lscale, VectorRSCALE& rscale, real_type& abnrm, |
|
real_type& bbnrm, VectorRCONDE& rconde, VectorRCONDV& rcondv, |
|
optimal_workspace ) { |
|
namespace bindings = ::boost::numeric::bindings; |
|
value_type opt_size_work; |
|
bindings::detail::array< real_type > tmp_rwork( min_size_rwork( |
|
balanc, bindings::size_column(a) ) ); |
|
bindings::detail::array< fortran_int_t > tmp_iwork( |
|
min_size_iwork( sense, bindings::size_column(a) ) ); |
|
bindings::detail::array< fortran_bool_t > tmp_bwork( min_size_bwork( |
|
sense, bindings::size_column(a) ) ); |
|
detail::ggevx( balanc, jobvl, jobvr, sense, |
|
bindings::size_column(a), bindings::begin_value(a), |
|
bindings::stride_major(a), bindings::begin_value(b), |
|
bindings::stride_major(b), bindings::begin_value(alpha), |
|
bindings::begin_value(beta), bindings::begin_value(vl), |
|
bindings::stride_major(vl), bindings::begin_value(vr), |
|
bindings::stride_major(vr), ilo, ihi, |
|
bindings::begin_value(lscale), bindings::begin_value(rscale), |
|
abnrm, bbnrm, bindings::begin_value(rconde), |
|
bindings::begin_value(rcondv), &opt_size_work, -1, |
|
bindings::begin_value(tmp_rwork), |
|
bindings::begin_value(tmp_iwork), |
|
bindings::begin_value(tmp_bwork) ); |
|
bindings::detail::array< value_type > tmp_work( |
|
traits::detail::to_int( opt_size_work ) ); |
|
return invoke( balanc, jobvl, jobvr, sense, a, b, alpha, beta, vl, vr, |
|
ilo, ihi, lscale, rscale, abnrm, bbnrm, rconde, rcondv, |
|
workspace( tmp_work, tmp_rwork, tmp_iwork, tmp_bwork ) ); |
|
} |
|
|
|
// |
|
// Static member function that returns the minimum size of |
|
// workspace-array work. |
|
// |
|
static std::ptrdiff_t min_size_work( const char sense, |
|
const std::ptrdiff_t n ) { |
|
if ( sense == 'N' ) |
|
return std::max< std::ptrdiff_t >( 1, 2*n ); |
|
else { |
|
if ( sense == 'E' ) |
|
return std::max< std::ptrdiff_t >( 1, 4*n ); |
|
else |
|
return std::max< std::ptrdiff_t >( 1, 2*n*n+2*n ); |
|
} |
|
} |
|
|
|
// |
|
// Static member function that returns the minimum size of |
|
// workspace-array rwork. |
|
// |
|
static std::ptrdiff_t min_size_rwork( const char balanc, |
|
const std::ptrdiff_t n ) { |
|
if ( balanc == 'S' || balanc == 'B' ) |
|
return std::max< std::ptrdiff_t >( 1, 6*n ); |
|
else |
|
return std::max< std::ptrdiff_t >( 1, 2*n ); |
|
} |
|
|
|
// |
|
// Static member function that returns the minimum size of |
|
// workspace-array iwork. |
|
// |
|
static std::ptrdiff_t min_size_iwork( const char sense, |
|
const std::ptrdiff_t n ) { |
|
if ( sense == 'E' ) |
|
return 0; |
|
else |
|
return n+2; |
|
} |
|
|
|
// |
|
// Static member function that returns the minimum size of |
|
// workspace-array bwork. |
|
// |
|
static std::ptrdiff_t min_size_bwork( const char sense, |
|
const std::ptrdiff_t n ) { |
|
if ( sense == 'N' ) |
|
return 0; |
|
else |
|
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 ggevx_impl classes. In the |
|
// documentation, most overloads are collapsed to avoid a large number of |
|
// prototypes which are very similar. |
|
// |
|
|
|
// |
|
// Overloaded function for ggevx. Its overload differs for |
|
// * User-defined workspace |
|
// |
|
template< typename MatrixA, typename MatrixB, typename VectorALPHAR, |
|
typename VectorALPHAI, typename VectorBETA, typename MatrixVL, |
|
typename MatrixVR, typename VectorLSCALE, typename VectorRSCALE, |
|
typename VectorRCONDE, typename VectorRCONDV, typename Workspace > |
|
inline typename boost::enable_if< detail::is_workspace< Workspace >, |
|
std::ptrdiff_t >::type |
|
ggevx( const char balanc, const char jobvl, const char jobvr, |
|
const char sense, MatrixA& a, MatrixB& b, VectorALPHAR& alphar, |
|
VectorALPHAI& alphai, VectorBETA& beta, MatrixVL& vl, MatrixVR& vr, |
|
fortran_int_t& ilo, fortran_int_t& ihi, VectorLSCALE& lscale, |
|
VectorRSCALE& rscale, typename remove_imaginary< |
|
typename bindings::value_type< MatrixA >::type >::type& abnrm, |
|
typename remove_imaginary< typename bindings::value_type< |
|
MatrixA >::type >::type& bbnrm, VectorRCONDE& rconde, |
|
VectorRCONDV& rcondv, Workspace work ) { |
|
return ggevx_impl< typename bindings::value_type< |
|
MatrixA >::type >::invoke( balanc, jobvl, jobvr, sense, a, b, |
|
alphar, alphai, beta, vl, vr, ilo, ihi, lscale, rscale, abnrm, |
|
bbnrm, rconde, rcondv, work ); |
|
} |
|
|
|
// |
|
// Overloaded function for ggevx. Its overload differs for |
|
// * Default workspace-type (optimal) |
|
// |
|
template< typename MatrixA, typename MatrixB, typename VectorALPHAR, |
|
typename VectorALPHAI, typename VectorBETA, typename MatrixVL, |
|
typename MatrixVR, typename VectorLSCALE, typename VectorRSCALE, |
|
typename VectorRCONDE, typename VectorRCONDV > |
|
inline typename boost::disable_if< detail::is_workspace< VectorRCONDV >, |
|
std::ptrdiff_t >::type |
|
ggevx( const char balanc, const char jobvl, const char jobvr, |
|
const char sense, MatrixA& a, MatrixB& b, VectorALPHAR& alphar, |
|
VectorALPHAI& alphai, VectorBETA& beta, MatrixVL& vl, MatrixVR& vr, |
|
fortran_int_t& ilo, fortran_int_t& ihi, VectorLSCALE& lscale, |
|
VectorRSCALE& rscale, typename remove_imaginary< |
|
typename bindings::value_type< MatrixA >::type >::type& abnrm, |
|
typename remove_imaginary< typename bindings::value_type< |
|
MatrixA >::type >::type& bbnrm, VectorRCONDE& rconde, |
|
VectorRCONDV& rcondv ) { |
|
return ggevx_impl< typename bindings::value_type< |
|
MatrixA >::type >::invoke( balanc, jobvl, jobvr, sense, a, b, |
|
alphar, alphai, beta, vl, vr, ilo, ihi, lscale, rscale, abnrm, |
|
bbnrm, rconde, rcondv, optimal_workspace() ); |
|
} |
|
|
|
// |
|
// Overloaded function for ggevx. Its overload differs for |
|
// * User-defined workspace |
|
// |
|
template< typename MatrixA, typename MatrixB, typename VectorALPHA, |
|
typename VectorBETA, typename MatrixVL, typename MatrixVR, |
|
typename VectorLSCALE, typename VectorRSCALE, typename VectorRCONDE, |
|
typename VectorRCONDV, typename Workspace > |
|
inline typename boost::enable_if< detail::is_workspace< Workspace >, |
|
std::ptrdiff_t >::type |
|
ggevx( const char balanc, const char jobvl, const char jobvr, |
|
const char sense, MatrixA& a, MatrixB& b, VectorALPHA& alpha, |
|
VectorBETA& beta, MatrixVL& vl, MatrixVR& vr, fortran_int_t& ilo, |
|
fortran_int_t& ihi, VectorLSCALE& lscale, VectorRSCALE& rscale, |
|
typename remove_imaginary< typename bindings::value_type< |
|
MatrixA >::type >::type& abnrm, typename remove_imaginary< |
|
typename bindings::value_type< MatrixA >::type >::type& bbnrm, |
|
VectorRCONDE& rconde, VectorRCONDV& rcondv, Workspace work ) { |
|
return ggevx_impl< typename bindings::value_type< |
|
MatrixA >::type >::invoke( balanc, jobvl, jobvr, sense, a, b, |
|
alpha, beta, vl, vr, ilo, ihi, lscale, rscale, abnrm, bbnrm, |
|
rconde, rcondv, work ); |
|
} |
|
|
|
// |
|
// Overloaded function for ggevx. Its overload differs for |
|
// * Default workspace-type (optimal) |
|
// |
|
template< typename MatrixA, typename MatrixB, typename VectorALPHA, |
|
typename VectorBETA, typename MatrixVL, typename MatrixVR, |
|
typename VectorLSCALE, typename VectorRSCALE, typename VectorRCONDE, |
|
typename VectorRCONDV > |
|
inline typename boost::disable_if< detail::is_workspace< VectorRCONDV >, |
|
std::ptrdiff_t >::type |
|
ggevx( const char balanc, const char jobvl, const char jobvr, |
|
const char sense, MatrixA& a, MatrixB& b, VectorALPHA& alpha, |
|
VectorBETA& beta, MatrixVL& vl, MatrixVR& vr, fortran_int_t& ilo, |
|
fortran_int_t& ihi, VectorLSCALE& lscale, VectorRSCALE& rscale, |
|
typename remove_imaginary< typename bindings::value_type< |
|
MatrixA >::type >::type& abnrm, typename remove_imaginary< |
|
typename bindings::value_type< MatrixA >::type >::type& bbnrm, |
|
VectorRCONDE& rconde, VectorRCONDV& rcondv ) { |
|
return ggevx_impl< typename bindings::value_type< |
|
MatrixA >::type >::invoke( balanc, jobvl, jobvr, sense, a, b, |
|
alpha, beta, vl, vr, ilo, ihi, lscale, rscale, abnrm, bbnrm, |
|
rconde, rcondv, optimal_workspace() ); |
|
} |
|
|
|
} // namespace lapack |
|
} // namespace bindings |
|
} // namespace numeric |
|
} // namespace boost |
|
|
|
#endif
|
|
|