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260 lines
10 KiB
260 lines
10 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_SBEVD_HPP
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#define BOOST_NUMERIC_BINDINGS_LAPACK_DRIVER_SBEVD_HPP
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#include <boost/assert.hpp>
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#include <boost/numeric/bindings/bandwidth.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_mutable.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/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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//
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// The LAPACK-backend for sbevd 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 sbevd( const char jobz, const UpLo,
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const fortran_int_t n, const fortran_int_t kd, float* ab,
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const fortran_int_t ldab, float* w, float* z, const fortran_int_t ldz,
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float* 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_SSBEVD( &jobz, &lapack_option< UpLo >::value, &n, &kd, ab, &ldab,
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w, z, &ldz, work, &lwork, 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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// * double value-type.
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//
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template< typename UpLo >
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inline std::ptrdiff_t sbevd( const char jobz, const UpLo,
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const fortran_int_t n, const fortran_int_t kd, double* ab,
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const fortran_int_t ldab, double* w, double* z,
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const fortran_int_t ldz, double* work, const fortran_int_t lwork,
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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_DSBEVD( &jobz, &lapack_option< UpLo >::value, &n, &kd, ab, &ldab,
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w, z, &ldz, work, &lwork, 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 sbevd.
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//
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template< typename Value >
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struct sbevd_impl {
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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 MatrixAB, typename VectorW, typename MatrixZ,
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typename WORK, typename IWORK >
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static std::ptrdiff_t invoke( const char jobz, MatrixAB& ab, VectorW& w,
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MatrixZ& z, detail::workspace2< WORK, IWORK > work ) {
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namespace bindings = ::boost::numeric::bindings;
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typedef typename result_of::uplo_tag< MatrixAB >::type uplo;
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixAB >::value) );
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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< MatrixAB >::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< MatrixAB >::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< MatrixAB >::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_ASSERT( bindings::bandwidth(ab, uplo()) >= 0 );
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BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >=
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min_size_iwork( jobz, bindings::size_column(ab) ));
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BOOST_ASSERT( bindings::size(work.select(real_type())) >=
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min_size_work( jobz, bindings::size_column(ab) ));
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BOOST_ASSERT( bindings::size_column(ab) >= 0 );
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BOOST_ASSERT( bindings::size_minor(ab) == 1 ||
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bindings::stride_minor(ab) == 1 );
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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( bindings::stride_major(ab) >= bindings::bandwidth(ab,
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uplo())+1 );
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BOOST_ASSERT( jobz == 'N' || jobz == 'V' );
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return detail::sbevd( jobz, uplo(), bindings::size_column(ab),
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bindings::bandwidth(ab, uplo()), bindings::begin_value(ab),
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bindings::stride_major(ab), bindings::begin_value(w),
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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 MatrixAB, typename VectorW, typename MatrixZ >
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static std::ptrdiff_t invoke( const char jobz, MatrixAB& ab, VectorW& w,
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MatrixZ& z, minimal_workspace ) {
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namespace bindings = ::boost::numeric::bindings;
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typedef typename result_of::uplo_tag< MatrixAB >::type uplo;
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bindings::detail::array< real_type > tmp_work( min_size_work( jobz,
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bindings::size_column(ab) ) );
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bindings::detail::array< fortran_int_t > tmp_iwork(
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min_size_iwork( jobz, bindings::size_column(ab) ) );
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return invoke( jobz, ab, w, 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 MatrixAB, typename VectorW, typename MatrixZ >
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static std::ptrdiff_t invoke( const char jobz, MatrixAB& ab, VectorW& w,
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MatrixZ& z, optimal_workspace ) {
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namespace bindings = ::boost::numeric::bindings;
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typedef typename result_of::uplo_tag< MatrixAB >::type uplo;
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real_type opt_size_work;
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fortran_int_t opt_size_iwork;
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detail::sbevd( jobz, uplo(), bindings::size_column(ab),
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bindings::bandwidth(ab, uplo()), bindings::begin_value(ab),
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bindings::stride_major(ab), bindings::begin_value(w),
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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( jobz, ab, w, 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 jobz,
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const std::ptrdiff_t n ) {
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if ( n < 2 )
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return 1;
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else {
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if ( jobz == 'N' )
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return 2*n;
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else
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return 1 + 5*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 jobz,
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const std::ptrdiff_t n ) {
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if ( jobz == 'N' || n < 2 )
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return 1;
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else
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return 3 + 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 sbevd_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 sbevd. Its overload differs for
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// * User-defined workspace
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//
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template< typename MatrixAB, typename VectorW, 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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sbevd( const char jobz, MatrixAB& ab, VectorW& w, MatrixZ& z,
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Workspace work ) {
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return sbevd_impl< typename bindings::value_type<
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MatrixAB >::type >::invoke( jobz, ab, w, z, work );
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}
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//
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// Overloaded function for sbevd. Its overload differs for
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// * Default workspace-type (optimal)
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//
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template< typename MatrixAB, typename VectorW, 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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sbevd( const char jobz, MatrixAB& ab, VectorW& w, MatrixZ& z ) {
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return sbevd_impl< typename bindings::value_type<
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MatrixAB >::type >::invoke( jobz, ab, w, 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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