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757 lines
37 KiB
757 lines
37 KiB
6 years ago
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//
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// Copyright (c) 2002--2010
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// Toon Knapen, Karl Meerbergen, Kresimir Fresl,
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// Thomas Klimpel and Rutger ter Borg
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//
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// Distributed under the Boost Software License, Version 1.0.
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// (See accompanying file LICENSE_1_0.txt or copy at
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// http://www.boost.org/LICENSE_1_0.txt)
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//
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// THIS FILE IS AUTOMATICALLY GENERATED
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// PLEASE DO NOT EDIT!
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//
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#ifndef BOOST_NUMERIC_BINDINGS_LAPACK_DRIVER_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,
|
||
|
|
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,
|
||
|
|
VectorALPHAR& alphar, VectorALPHAI& alphai, 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< real_type > tmp_work( min_size_work( balanc,
|
||
|
|
jobvl, jobvr, sense, 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, alphar, alphai,
|
||
|
|
beta, vl, vr, ilo, ihi, lscale, rscale, abnrm, bbnrm, rconde,
|
||
|
|
rcondv, workspace( tmp_work, 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 VectorALPHAR,
|
||
|
|
typename VectorALPHAI, 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,
|
||
|
|
VectorALPHAR& alphar, VectorALPHAI& alphai, 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;
|
||
|
|
real_type opt_size_work;
|
||
|
|
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(alphar),
|
||
|
|
bindings::begin_value(alphai), 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_iwork),
|
||
|
|
bindings::begin_value(tmp_bwork) );
|
||
|
|
bindings::detail::array< real_type > tmp_work(
|
||
|
|
traits::detail::to_int( opt_size_work ) );
|
||
|
|
return invoke( balanc, jobvl, jobvr, sense, a, b, alphar, alphai,
|
||
|
|
beta, vl, vr, ilo, ihi, lscale, rscale, abnrm, bbnrm, rconde,
|
||
|
|
rcondv, workspace( tmp_work, 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 balanc, const char jobvl,
|
||
|
|
const char jobvr, const char sense, const std::ptrdiff_t n ) {
|
||
|
|
if ( balanc == 'S' || balanc == 'B' || jobvl == 'V' || jobvr == 'V' )
|
||
|
|
return std::max< std::ptrdiff_t >( 1, 6*n );
|
||
|
|
if ( sense == 'E' )
|
||
|
|
return std::max< std::ptrdiff_t >( 1, 10*n );
|
||
|
|
if ( sense == 'V' || sense == 'B' )
|
||
|
|
return 2*n*n + 8*n + 16;
|
||
|
|
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+6;
|
||
|
|
}
|
||
|
|
|
||
|
|
//
|
||
|
|
// 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;
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
//
|
||
|
|
// This implementation is enabled if Value is a complex type.
|
||
|
|
//
|
||
|
|
template< typename Value >
|
||
|
|
struct ggevx_impl< Value, typename boost::enable_if< is_complex< Value > >::type > {
|
||
|
|
|
||
|
|
typedef Value value_type;
|
||
|
|
typedef typename remove_imaginary< Value >::type real_type;
|
||
|
|
|
||
|
|
//
|
||
|
|
// Static member function for user-defined workspaces, that
|
||
|
|
// * Deduces the required arguments for dispatching to LAPACK, and
|
||
|
|
// * Asserts that most arguments make sense.
|
||
|
|
//
|
||
|
|
template< typename MatrixA, typename MatrixB, typename VectorALPHA,
|
||
|
|
typename VectorBETA, typename MatrixVL, typename MatrixVR,
|
||
|
|
typename VectorLSCALE, typename VectorRSCALE,
|
||
|
|
typename VectorRCONDE, typename VectorRCONDV, typename WORK,
|
||
|
|
typename RWORK, typename IWORK, typename BWORK >
|
||
|
|
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
|