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436 lines
18 KiB
436 lines
18 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_HPEVX_HPP |
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#define BOOST_NUMERIC_BINDINGS_LAPACK_DRIVER_HPEVX_HPP |
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#include <boost/assert.hpp> |
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#include <boost/numeric/bindings/begin.hpp> |
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#include <boost/numeric/bindings/detail/array.hpp> |
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#include <boost/numeric/bindings/is_column_major.hpp> |
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#include <boost/numeric/bindings/is_complex.hpp> |
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#include <boost/numeric/bindings/is_mutable.hpp> |
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#include <boost/numeric/bindings/is_real.hpp> |
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#include <boost/numeric/bindings/lapack/workspace.hpp> |
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#include <boost/numeric/bindings/remove_imaginary.hpp> |
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#include <boost/numeric/bindings/size.hpp> |
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#include <boost/numeric/bindings/stride.hpp> |
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#include <boost/numeric/bindings/uplo_tag.hpp> |
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#include <boost/numeric/bindings/value_type.hpp> |
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#include <boost/static_assert.hpp> |
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#include <boost/type_traits/is_same.hpp> |
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#include <boost/type_traits/remove_const.hpp> |
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#include <boost/utility/enable_if.hpp> |
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// |
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// The LAPACK-backend for hpevx is the netlib-compatible backend. |
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// |
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#include <boost/numeric/bindings/lapack/detail/lapack.h> |
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#include <boost/numeric/bindings/lapack/detail/lapack_option.hpp> |
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namespace boost { |
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namespace numeric { |
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namespace bindings { |
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namespace lapack { |
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// |
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// The detail namespace contains value-type-overloaded functions that |
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// dispatch to the appropriate back-end LAPACK-routine. |
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// |
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namespace detail { |
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// |
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// Overloaded function for dispatching to |
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// * netlib-compatible LAPACK backend (the default), and |
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// * float value-type. |
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// |
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template< typename UpLo > |
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inline std::ptrdiff_t hpevx( const char jobz, const char range, const UpLo, |
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const fortran_int_t n, float* ap, const float vl, const float vu, |
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const fortran_int_t il, const fortran_int_t iu, const float abstol, |
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fortran_int_t& m, float* w, float* z, const fortran_int_t ldz, |
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float* work, fortran_int_t* iwork, fortran_int_t* ifail ) { |
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fortran_int_t info(0); |
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LAPACK_SSPEVX( &jobz, &range, &lapack_option< UpLo >::value, &n, ap, &vl, |
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&vu, &il, &iu, &abstol, &m, w, z, &ldz, work, iwork, ifail, |
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&info ); |
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return info; |
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} |
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// |
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// Overloaded function for dispatching to |
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// * netlib-compatible LAPACK backend (the default), and |
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// * double value-type. |
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// |
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template< typename UpLo > |
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inline std::ptrdiff_t hpevx( const char jobz, const char range, const UpLo, |
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const fortran_int_t n, double* ap, const double vl, const double vu, |
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const fortran_int_t il, const fortran_int_t iu, const double abstol, |
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fortran_int_t& m, double* w, double* z, const fortran_int_t ldz, |
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double* work, fortran_int_t* iwork, fortran_int_t* ifail ) { |
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fortran_int_t info(0); |
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LAPACK_DSPEVX( &jobz, &range, &lapack_option< UpLo >::value, &n, ap, &vl, |
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&vu, &il, &iu, &abstol, &m, w, z, &ldz, work, iwork, ifail, |
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&info ); |
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return info; |
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} |
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// |
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// Overloaded function for dispatching to |
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// * netlib-compatible LAPACK backend (the default), and |
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// * complex<float> value-type. |
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// |
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template< typename UpLo > |
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inline std::ptrdiff_t hpevx( const char jobz, const char range, const UpLo, |
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const fortran_int_t n, std::complex<float>* ap, const float vl, |
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const float vu, const fortran_int_t il, const fortran_int_t iu, |
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const float abstol, fortran_int_t& m, float* w, |
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std::complex<float>* z, const fortran_int_t ldz, |
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std::complex<float>* work, float* rwork, fortran_int_t* iwork, |
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fortran_int_t* ifail ) { |
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fortran_int_t info(0); |
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LAPACK_CHPEVX( &jobz, &range, &lapack_option< UpLo >::value, &n, ap, &vl, |
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&vu, &il, &iu, &abstol, &m, w, z, &ldz, work, rwork, iwork, ifail, |
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&info ); |
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return info; |
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} |
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// |
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// Overloaded function for dispatching to |
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// * netlib-compatible LAPACK backend (the default), and |
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// * complex<double> value-type. |
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// |
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template< typename UpLo > |
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inline std::ptrdiff_t hpevx( const char jobz, const char range, const UpLo, |
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const fortran_int_t n, std::complex<double>* ap, const double vl, |
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const double vu, const fortran_int_t il, const fortran_int_t iu, |
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const double abstol, fortran_int_t& m, double* w, |
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std::complex<double>* z, const fortran_int_t ldz, |
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std::complex<double>* work, double* rwork, fortran_int_t* iwork, |
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fortran_int_t* ifail ) { |
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fortran_int_t info(0); |
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LAPACK_ZHPEVX( &jobz, &range, &lapack_option< UpLo >::value, &n, ap, &vl, |
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&vu, &il, &iu, &abstol, &m, w, z, &ldz, work, rwork, iwork, ifail, |
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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 hpevx. |
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// |
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template< typename Value, typename Enable = void > |
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struct hpevx_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 hpevx_impl< Value, typename boost::enable_if< is_real< Value > >::type > { |
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typedef Value value_type; |
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typedef typename remove_imaginary< Value >::type real_type; |
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// |
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// Static member function for user-defined workspaces, that |
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// * Deduces the required arguments for dispatching to LAPACK, and |
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// * Asserts that most arguments make sense. |
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// |
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template< typename MatrixAP, typename VectorW, typename MatrixZ, |
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typename VectorIFAIL, typename WORK, typename IWORK > |
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static std::ptrdiff_t invoke( const char jobz, const char range, |
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MatrixAP& ap, const real_type vl, const real_type vu, |
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const fortran_int_t il, const fortran_int_t iu, |
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const real_type abstol, fortran_int_t& m, VectorW& w, |
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MatrixZ& z, VectorIFAIL& ifail, detail::workspace2< WORK, |
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IWORK > work ) { |
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namespace bindings = ::boost::numeric::bindings; |
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typedef typename result_of::uplo_tag< MatrixAP >::type uplo; |
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixZ >::value) ); |
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
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typename bindings::value_type< MatrixAP >::type >::type, |
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typename remove_const< typename bindings::value_type< |
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VectorW >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
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typename bindings::value_type< MatrixAP >::type >::type, |
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typename remove_const< typename bindings::value_type< |
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MatrixZ >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixAP >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorW >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixZ >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorIFAIL >::value) ); |
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BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >= |
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min_size_iwork( bindings::size_column(ap) )); |
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BOOST_ASSERT( bindings::size(work.select(real_type())) >= |
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min_size_work( bindings::size_column(ap) )); |
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BOOST_ASSERT( bindings::size_column(ap) >= 0 ); |
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BOOST_ASSERT( bindings::size_minor(z) == 1 || |
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bindings::stride_minor(z) == 1 ); |
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BOOST_ASSERT( jobz == 'N' || jobz == 'V' ); |
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BOOST_ASSERT( range == 'A' || range == 'V' || range == 'I' ); |
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return detail::hpevx( jobz, range, uplo(), bindings::size_column(ap), |
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bindings::begin_value(ap), vl, vu, il, iu, abstol, m, |
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bindings::begin_value(w), bindings::begin_value(z), |
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bindings::stride_major(z), |
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bindings::begin_value(work.select(real_type())), |
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bindings::begin_value(work.select(fortran_int_t())), |
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bindings::begin_value(ifail) ); |
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} |
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// |
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// Static member function that |
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// * Figures out the minimal workspace requirements, and passes |
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// the results to the user-defined workspace overload of the |
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// invoke static member function |
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// * Enables the unblocked algorithm (BLAS level 2) |
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// |
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template< typename MatrixAP, typename VectorW, typename MatrixZ, |
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typename VectorIFAIL > |
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static std::ptrdiff_t invoke( const char jobz, const char range, |
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MatrixAP& ap, const real_type vl, const real_type vu, |
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const fortran_int_t il, const fortran_int_t iu, |
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const real_type abstol, fortran_int_t& m, VectorW& w, |
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MatrixZ& z, VectorIFAIL& ifail, minimal_workspace ) { |
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namespace bindings = ::boost::numeric::bindings; |
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typedef typename result_of::uplo_tag< MatrixAP >::type uplo; |
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bindings::detail::array< real_type > tmp_work( min_size_work( |
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bindings::size_column(ap) ) ); |
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bindings::detail::array< fortran_int_t > tmp_iwork( |
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min_size_iwork( bindings::size_column(ap) ) ); |
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return invoke( jobz, range, ap, vl, vu, il, iu, abstol, m, w, z, |
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ifail, workspace( tmp_work, tmp_iwork ) ); |
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} |
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// |
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// Static member function that |
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// * Figures out the optimal workspace requirements, and passes |
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// the results to the user-defined workspace overload of the |
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// invoke static member |
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// * Enables the blocked algorithm (BLAS level 3) |
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// |
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template< typename MatrixAP, typename VectorW, typename MatrixZ, |
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typename VectorIFAIL > |
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static std::ptrdiff_t invoke( const char jobz, const char range, |
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MatrixAP& ap, const real_type vl, const real_type vu, |
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const fortran_int_t il, const fortran_int_t iu, |
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const real_type abstol, fortran_int_t& m, VectorW& w, |
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MatrixZ& z, VectorIFAIL& ifail, optimal_workspace ) { |
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namespace bindings = ::boost::numeric::bindings; |
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typedef typename result_of::uplo_tag< MatrixAP >::type uplo; |
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return invoke( jobz, range, ap, vl, vu, il, iu, abstol, m, w, z, |
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ifail, minimal_workspace() ); |
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} |
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// |
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// Static member function that returns the minimum size of |
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// workspace-array work. |
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// |
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static std::ptrdiff_t min_size_work( const std::ptrdiff_t n ) { |
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return 8*n; |
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} |
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// |
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// Static member function that returns the minimum size of |
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// workspace-array iwork. |
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// |
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static std::ptrdiff_t min_size_iwork( const std::ptrdiff_t n ) { |
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return 5*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 hpevx_impl< Value, typename boost::enable_if< is_complex< Value > >::type > { |
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typedef Value value_type; |
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typedef typename remove_imaginary< Value >::type real_type; |
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// |
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// Static member function for user-defined workspaces, that |
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// * Deduces the required arguments for dispatching to LAPACK, and |
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// * Asserts that most arguments make sense. |
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// |
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template< typename MatrixAP, typename VectorW, typename MatrixZ, |
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typename VectorIFAIL, typename WORK, typename RWORK, |
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typename IWORK > |
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static std::ptrdiff_t invoke( const char jobz, const char range, |
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MatrixAP& ap, const real_type vl, const real_type vu, |
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const fortran_int_t il, const fortran_int_t iu, |
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const real_type abstol, fortran_int_t& m, VectorW& w, |
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MatrixZ& z, VectorIFAIL& ifail, detail::workspace3< WORK, RWORK, |
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IWORK > work ) { |
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namespace bindings = ::boost::numeric::bindings; |
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typedef typename result_of::uplo_tag< MatrixAP >::type uplo; |
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixZ >::value) ); |
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
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typename bindings::value_type< MatrixAP >::type >::type, |
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typename remove_const< typename bindings::value_type< |
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MatrixZ >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixAP >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorW >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixZ >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorIFAIL >::value) ); |
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BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >= |
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min_size_iwork( bindings::size_column(ap) )); |
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BOOST_ASSERT( bindings::size(work.select(real_type())) >= |
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min_size_rwork( bindings::size_column(ap) )); |
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BOOST_ASSERT( bindings::size(work.select(value_type())) >= |
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min_size_work( bindings::size_column(ap) )); |
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BOOST_ASSERT( bindings::size_column(ap) >= 0 ); |
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BOOST_ASSERT( bindings::size_minor(z) == 1 || |
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bindings::stride_minor(z) == 1 ); |
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BOOST_ASSERT( jobz == 'N' || jobz == 'V' ); |
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BOOST_ASSERT( range == 'A' || range == 'V' || range == 'I' ); |
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return detail::hpevx( jobz, range, uplo(), bindings::size_column(ap), |
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bindings::begin_value(ap), vl, vu, il, iu, abstol, m, |
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bindings::begin_value(w), bindings::begin_value(z), |
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bindings::stride_major(z), |
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bindings::begin_value(work.select(value_type())), |
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bindings::begin_value(work.select(real_type())), |
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bindings::begin_value(work.select(fortran_int_t())), |
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bindings::begin_value(ifail) ); |
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} |
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// |
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// Static member function that |
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// * Figures out the minimal workspace requirements, and passes |
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// the results to the user-defined workspace overload of the |
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// invoke static member function |
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// * Enables the unblocked algorithm (BLAS level 2) |
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// |
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template< typename MatrixAP, typename VectorW, typename MatrixZ, |
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typename VectorIFAIL > |
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static std::ptrdiff_t invoke( const char jobz, const char range, |
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MatrixAP& ap, const real_type vl, const real_type vu, |
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const fortran_int_t il, const fortran_int_t iu, |
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const real_type abstol, fortran_int_t& m, VectorW& w, |
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MatrixZ& z, VectorIFAIL& ifail, minimal_workspace ) { |
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namespace bindings = ::boost::numeric::bindings; |
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typedef typename result_of::uplo_tag< MatrixAP >::type uplo; |
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bindings::detail::array< value_type > tmp_work( min_size_work( |
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bindings::size_column(ap) ) ); |
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bindings::detail::array< real_type > tmp_rwork( min_size_rwork( |
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bindings::size_column(ap) ) ); |
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bindings::detail::array< fortran_int_t > tmp_iwork( |
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min_size_iwork( bindings::size_column(ap) ) ); |
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return invoke( jobz, range, ap, vl, vu, il, iu, abstol, m, w, z, |
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ifail, workspace( tmp_work, tmp_rwork, tmp_iwork ) ); |
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} |
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// |
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// Static member function that |
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// * Figures out the optimal workspace requirements, and passes |
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// the results to the user-defined workspace overload of the |
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// invoke static member |
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// * Enables the blocked algorithm (BLAS level 3) |
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// |
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template< typename MatrixAP, typename VectorW, typename MatrixZ, |
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typename VectorIFAIL > |
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static std::ptrdiff_t invoke( const char jobz, const char range, |
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MatrixAP& ap, const real_type vl, const real_type vu, |
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const fortran_int_t il, const fortran_int_t iu, |
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const real_type abstol, fortran_int_t& m, VectorW& w, |
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MatrixZ& z, VectorIFAIL& ifail, optimal_workspace ) { |
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namespace bindings = ::boost::numeric::bindings; |
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typedef typename result_of::uplo_tag< MatrixAP >::type uplo; |
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return invoke( jobz, range, ap, vl, vu, il, iu, abstol, m, w, z, |
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ifail, minimal_workspace() ); |
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} |
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// |
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// Static member function that returns the minimum size of |
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// workspace-array work. |
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// |
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static std::ptrdiff_t min_size_work( const std::ptrdiff_t n ) { |
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return 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 rwork. |
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// |
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static std::ptrdiff_t min_size_rwork( const std::ptrdiff_t n ) { |
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return 7*n; |
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} |
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// |
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// Static member function that returns the minimum size of |
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// workspace-array iwork. |
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// |
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static std::ptrdiff_t min_size_iwork( const std::ptrdiff_t n ) { |
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return 5*n; |
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} |
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}; |
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// |
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// Functions for direct use. These functions are overloaded for temporaries, |
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// so that wrapped types can still be passed and used for write-access. In |
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// addition, if applicable, they are overloaded for user-defined workspaces. |
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// Calls to these functions are passed to the hpevx_impl classes. In the |
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// documentation, most overloads are collapsed to avoid a large number of |
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// prototypes which are very similar. |
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// |
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// |
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// Overloaded function for hpevx. Its overload differs for |
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// * User-defined workspace |
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// |
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template< typename MatrixAP, typename VectorW, typename MatrixZ, |
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typename VectorIFAIL, typename Workspace > |
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inline typename boost::enable_if< detail::is_workspace< Workspace >, |
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std::ptrdiff_t >::type |
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hpevx( const char jobz, const char range, MatrixAP& ap, |
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const typename remove_imaginary< typename bindings::value_type< |
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MatrixAP >::type >::type vl, const typename remove_imaginary< |
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typename bindings::value_type< MatrixAP >::type >::type vu, |
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const fortran_int_t il, const fortran_int_t iu, |
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const typename remove_imaginary< typename bindings::value_type< |
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MatrixAP >::type >::type abstol, fortran_int_t& m, VectorW& w, |
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MatrixZ& z, VectorIFAIL& ifail, Workspace work ) { |
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return hpevx_impl< typename bindings::value_type< |
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MatrixAP >::type >::invoke( jobz, range, ap, vl, vu, il, iu, |
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abstol, m, w, z, ifail, work ); |
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} |
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// |
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// Overloaded function for hpevx. Its overload differs for |
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// * Default workspace-type (optimal) |
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// |
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template< typename MatrixAP, typename VectorW, typename MatrixZ, |
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typename VectorIFAIL > |
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inline typename boost::disable_if< detail::is_workspace< VectorIFAIL >, |
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std::ptrdiff_t >::type |
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hpevx( const char jobz, const char range, MatrixAP& ap, |
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const typename remove_imaginary< typename bindings::value_type< |
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MatrixAP >::type >::type vl, const typename remove_imaginary< |
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typename bindings::value_type< MatrixAP >::type >::type vu, |
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const fortran_int_t il, const fortran_int_t iu, |
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const typename remove_imaginary< typename bindings::value_type< |
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MatrixAP >::type >::type abstol, fortran_int_t& m, VectorW& w, |
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MatrixZ& z, VectorIFAIL& ifail ) { |
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return hpevx_impl< typename bindings::value_type< |
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MatrixAP >::type >::invoke( jobz, range, ap, vl, vu, il, iu, |
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abstol, m, w, z, ifail, optimal_workspace() ); |
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} |
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} // namespace lapack |
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} // namespace bindings |
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} // namespace numeric |
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} // namespace boost |
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#endif
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