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432 lines
17 KiB
432 lines
17 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_COMPUTATIONAL_STEDC_HPP |
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#define BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_STEDC_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 stedc 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 stedc( const char compz, const fortran_int_t n, float* d, |
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float* e, float* z, const fortran_int_t ldz, float* work, |
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const fortran_int_t lwork, fortran_int_t* iwork, |
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const fortran_int_t liwork ) { |
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fortran_int_t info(0); |
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LAPACK_SSTEDC( &compz, &n, d, e, z, &ldz, work, &lwork, iwork, &liwork, |
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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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inline std::ptrdiff_t stedc( const char compz, const fortran_int_t n, |
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double* d, double* e, double* z, const fortran_int_t ldz, |
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double* work, const fortran_int_t lwork, fortran_int_t* iwork, |
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const fortran_int_t liwork ) { |
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fortran_int_t info(0); |
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LAPACK_DSTEDC( &compz, &n, d, e, z, &ldz, work, &lwork, iwork, &liwork, |
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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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inline std::ptrdiff_t stedc( const char compz, const fortran_int_t n, float* d, |
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float* e, std::complex<float>* z, const fortran_int_t ldz, |
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std::complex<float>* work, const fortran_int_t lwork, float* rwork, |
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const fortran_int_t lrwork, fortran_int_t* iwork, |
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const fortran_int_t liwork ) { |
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fortran_int_t info(0); |
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LAPACK_CSTEDC( &compz, &n, d, e, z, &ldz, work, &lwork, rwork, &lrwork, |
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iwork, &liwork, &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 stedc( const char compz, const fortran_int_t n, |
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double* d, double* e, std::complex<double>* z, |
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const fortran_int_t ldz, std::complex<double>* work, |
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const fortran_int_t lwork, double* rwork, const fortran_int_t lrwork, |
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fortran_int_t* iwork, const fortran_int_t liwork ) { |
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fortran_int_t info(0); |
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LAPACK_ZSTEDC( &compz, &n, d, e, z, &ldz, work, &lwork, rwork, &lrwork, |
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iwork, &liwork, &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 stedc. |
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// |
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template< typename Value, typename Enable = void > |
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struct stedc_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 stedc_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 VectorD, typename VectorE, typename MatrixZ, |
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typename WORK, typename IWORK > |
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static std::ptrdiff_t invoke( const char compz, VectorD& d, VectorE& e, |
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MatrixZ& z, detail::workspace2< WORK, IWORK > work ) { |
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namespace bindings = ::boost::numeric::bindings; |
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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< VectorD >::type >::type, |
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typename remove_const< typename bindings::value_type< |
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VectorE >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
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typename bindings::value_type< VectorD >::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< VectorD >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorE >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixZ >::value) ); |
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BOOST_ASSERT( bindings::size(d) >= 0 ); |
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BOOST_ASSERT( bindings::size(e) >= bindings::size(d)-1 ); |
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BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >= |
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min_size_iwork( compz, bindings::size(d) )); |
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BOOST_ASSERT( bindings::size(work.select(real_type())) >= |
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min_size_work( compz, bindings::size(d) )); |
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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( compz == 'N' || compz == 'I' || compz == 'V' ); |
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return detail::stedc( compz, bindings::size(d), |
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bindings::begin_value(d), bindings::begin_value(e), |
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bindings::begin_value(z), bindings::stride_major(z), |
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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::size(work.select(fortran_int_t())) ); |
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} |
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// |
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// Static member function that |
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// * Figures out the minimal workspace requirements, and passes |
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// the results to the user-defined workspace overload of the |
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// invoke static member function |
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// * Enables the unblocked algorithm (BLAS level 2) |
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// |
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template< typename VectorD, typename VectorE, typename MatrixZ > |
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static std::ptrdiff_t invoke( const char compz, VectorD& d, VectorE& e, |
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MatrixZ& z, 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( compz, |
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bindings::size(d) ) ); |
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bindings::detail::array< fortran_int_t > tmp_iwork( |
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min_size_iwork( compz, bindings::size(d) ) ); |
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return invoke( compz, d, e, z, 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 VectorD, typename VectorE, typename MatrixZ > |
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static std::ptrdiff_t invoke( const char compz, VectorD& d, VectorE& e, |
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MatrixZ& z, optimal_workspace ) { |
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namespace bindings = ::boost::numeric::bindings; |
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real_type opt_size_work; |
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fortran_int_t opt_size_iwork; |
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detail::stedc( compz, bindings::size(d), |
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bindings::begin_value(d), bindings::begin_value(e), |
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bindings::begin_value(z), bindings::stride_major(z), |
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&opt_size_work, -1, &opt_size_iwork, -1 ); |
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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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bindings::detail::array< fortran_int_t > tmp_iwork( |
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opt_size_iwork ); |
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return invoke( compz, d, e, z, workspace( tmp_work, tmp_iwork ) ); |
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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 compz, |
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const std::ptrdiff_t n ) { |
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if ( compz == 'N' || n <= 1 ) { |
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return 1; |
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} else if ( compz == 'V' ) { |
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return 1 + 3*n + 2*n*static_cast<std::ptrdiff_t>(std::ceil(std::log( |
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n)/std::log(2))) + 3*n*n; |
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} else { // compz == 'I' |
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return 1 + 4*n + n*n; |
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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 iwork. |
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// |
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static std::ptrdiff_t min_size_iwork( const char compz, |
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const std::ptrdiff_t n ) { |
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if ( compz == 'N' || n <= 1 ) { |
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return 1; |
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} else if ( compz == 'V' ) { |
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return 6 + 6*n + 5*n*static_cast<std::ptrdiff_t>(std::ceil(std::log( |
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n)/std::log(2))); |
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} else { // compz == 'I' |
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return 3 + 5*n; |
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} |
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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 stedc_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 VectorD, typename VectorE, typename MatrixZ, |
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typename WORK, typename RWORK, typename IWORK > |
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static std::ptrdiff_t invoke( const char compz, VectorD& d, VectorE& e, |
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MatrixZ& z, detail::workspace3< WORK, RWORK, IWORK > work ) { |
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namespace bindings = ::boost::numeric::bindings; |
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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< VectorD >::type >::type, |
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typename remove_const< typename bindings::value_type< |
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VectorE >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorD >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorE >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixZ >::value) ); |
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BOOST_ASSERT( bindings::size(d) >= 0 ); |
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BOOST_ASSERT( bindings::size(e) >= bindings::size(d)-1 ); |
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BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >= |
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min_size_iwork( compz, bindings::size(d) )); |
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BOOST_ASSERT( bindings::size(work.select(real_type())) >= |
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min_size_rwork( compz, bindings::size(d) )); |
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BOOST_ASSERT( bindings::size(work.select(value_type())) >= |
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min_size_work( compz, bindings::size(d) )); |
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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( compz == 'N' || compz == 'I' || compz == 'V' ); |
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return detail::stedc( compz, bindings::size(d), |
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bindings::begin_value(d), bindings::begin_value(e), |
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bindings::begin_value(z), bindings::stride_major(z), |
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bindings::begin_value(work.select(value_type())), |
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bindings::size(work.select(value_type())), |
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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::size(work.select(fortran_int_t())) ); |
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} |
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// |
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// Static member function that |
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// * Figures out the minimal workspace requirements, and passes |
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// the results to the user-defined workspace overload of the |
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// invoke static member function |
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// * Enables the unblocked algorithm (BLAS level 2) |
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// |
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template< typename VectorD, typename VectorE, typename MatrixZ > |
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static std::ptrdiff_t invoke( const char compz, VectorD& d, VectorE& e, |
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MatrixZ& z, minimal_workspace ) { |
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namespace bindings = ::boost::numeric::bindings; |
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bindings::detail::array< value_type > tmp_work( min_size_work( compz, |
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bindings::size(d) ) ); |
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bindings::detail::array< real_type > tmp_rwork( min_size_rwork( compz, |
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bindings::size(d) ) ); |
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bindings::detail::array< fortran_int_t > tmp_iwork( |
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min_size_iwork( compz, bindings::size(d) ) ); |
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return invoke( compz, d, e, z, workspace( tmp_work, tmp_rwork, |
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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 VectorD, typename VectorE, typename MatrixZ > |
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static std::ptrdiff_t invoke( const char compz, VectorD& d, VectorE& e, |
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MatrixZ& z, optimal_workspace ) { |
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namespace bindings = ::boost::numeric::bindings; |
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value_type opt_size_work; |
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real_type opt_size_rwork; |
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fortran_int_t opt_size_iwork; |
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detail::stedc( compz, bindings::size(d), |
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bindings::begin_value(d), bindings::begin_value(e), |
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bindings::begin_value(z), bindings::stride_major(z), |
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&opt_size_work, -1, &opt_size_rwork, -1, &opt_size_iwork, -1 ); |
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bindings::detail::array< value_type > tmp_work( |
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traits::detail::to_int( opt_size_work ) ); |
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bindings::detail::array< real_type > tmp_rwork( |
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traits::detail::to_int( opt_size_rwork ) ); |
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bindings::detail::array< fortran_int_t > tmp_iwork( |
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opt_size_iwork ); |
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return invoke( compz, d, e, z, workspace( tmp_work, tmp_rwork, |
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tmp_iwork ) ); |
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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 compz, |
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const std::ptrdiff_t n ) { |
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if ( compz == 'N' || compz == 'I' || n <= 1 ) { |
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return 1; |
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} else { // compz == 'V' |
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return n*n; |
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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 rwork. |
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// |
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static std::ptrdiff_t min_size_rwork( const char compz, |
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const std::ptrdiff_t n ) { |
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if ( compz == 'N' || n <= 1 ) { |
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return 1; |
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} else if ( compz == 'V' ) { |
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return 1 + 3*n + 2*n*static_cast<std::ptrdiff_t>(std::ceil(std::log( |
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n)/std::log(2))) + 3*n*n; |
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} else { // compz == 'I' |
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return 1 + 4*n + 2*n*n; |
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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 iwork. |
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// |
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static std::ptrdiff_t min_size_iwork( const char compz, |
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const std::ptrdiff_t n ) { |
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if ( compz == 'N' || n <= 1 ) { |
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return 1; |
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} else if ( compz == 'V' ) { |
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return 6 + 6*n + 5*n*static_cast<std::ptrdiff_t>(std::ceil(std::log( |
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n)/std::log(2))); |
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} else { // compz == 'I' |
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return 3 + 5*n; |
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} |
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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 stedc_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 stedc. Its overload differs for |
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// * User-defined workspace |
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// |
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template< typename VectorD, typename VectorE, typename MatrixZ, |
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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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stedc( const char compz, VectorD& d, VectorE& e, MatrixZ& z, |
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Workspace work ) { |
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return stedc_impl< typename bindings::value_type< |
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MatrixZ >::type >::invoke( compz, d, e, z, work ); |
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} |
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// |
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// Overloaded function for stedc. Its overload differs for |
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// * Default workspace-type (optimal) |
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// |
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template< typename VectorD, typename VectorE, typename MatrixZ > |
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inline typename boost::disable_if< detail::is_workspace< MatrixZ >, |
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std::ptrdiff_t >::type |
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stedc( const char compz, VectorD& d, VectorE& e, MatrixZ& z ) { |
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return stedc_impl< typename bindings::value_type< |
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MatrixZ >::type >::invoke( compz, d, e, z, 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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