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288 lines
12 KiB
288 lines
12 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_SYEVX_HPP
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#define BOOST_NUMERIC_BINDINGS_LAPACK_DRIVER_SYEVX_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_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 syevx 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 syevx( const char jobz, const char range, const UpLo,
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const fortran_int_t n, float* a, const fortran_int_t lda,
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const float vl, const float vu, const fortran_int_t il,
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const fortran_int_t iu, const float abstol, fortran_int_t& m,
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float* w, 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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fortran_int_t* ifail ) {
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fortran_int_t info(0);
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LAPACK_SSYEVX( &jobz, &range, &lapack_option< UpLo >::value, &n, a, &lda,
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&vl, &vu, &il, &iu, &abstol, &m, w, z, &ldz, work, &lwork, iwork,
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ifail, &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 syevx( const char jobz, const char range, const UpLo,
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const fortran_int_t n, double* a, const fortran_int_t lda,
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const double vl, const double vu, const fortran_int_t il,
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const fortran_int_t iu, const double abstol, fortran_int_t& m,
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double* w, double* z, const fortran_int_t ldz, double* work,
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const fortran_int_t lwork, 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_DSYEVX( &jobz, &range, &lapack_option< UpLo >::value, &n, a, &lda,
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&vl, &vu, &il, &iu, &abstol, &m, w, z, &ldz, work, &lwork, iwork,
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ifail, &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 syevx.
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//
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template< typename Value >
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struct syevx_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 MatrixA, 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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MatrixA& a, 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< MatrixA >::type uplo;
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixA >::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< MatrixA >::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< MatrixA >::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< MatrixA >::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(w) >= bindings::size_column(a) );
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BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >=
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min_size_iwork( bindings::size_column(a) ));
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BOOST_ASSERT( bindings::size(work.select(real_type())) >=
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min_size_work( bindings::size_column(a) ));
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BOOST_ASSERT( bindings::size_column(a) >= 0 );
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BOOST_ASSERT( bindings::size_minor(a) == 1 ||
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bindings::stride_minor(a) == 1 );
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BOOST_ASSERT( bindings::size_minor(z) == 1 ||
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bindings::stride_minor(z) == 1 );
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BOOST_ASSERT( bindings::stride_major(a) >= std::max< std::ptrdiff_t >(1,
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bindings::size_column(a)) );
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BOOST_ASSERT( jobz == 'N' || jobz == 'V' );
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BOOST_ASSERT( range == 'A' || range == 'V' || range == 'I' );
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return detail::syevx( jobz, range, uplo(), bindings::size_column(a),
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bindings::begin_value(a), bindings::stride_major(a), vl, vu,
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il, iu, abstol, m, 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::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 MatrixA, 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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MatrixA& a, 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< MatrixA >::type uplo;
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bindings::detail::array< real_type > tmp_work( min_size_work(
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bindings::size_column(a) ) );
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bindings::detail::array< fortran_int_t > tmp_iwork(
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min_size_iwork( bindings::size_column(a) ) );
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return invoke( jobz, range, a, vl, vu, il, iu, abstol, m, w, z, ifail,
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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 MatrixA, 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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MatrixA& a, 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< MatrixA >::type uplo;
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real_type opt_size_work;
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bindings::detail::array< fortran_int_t > tmp_iwork(
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min_size_iwork( bindings::size_column(a) ) );
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detail::syevx( jobz, range, uplo(), bindings::size_column(a),
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bindings::begin_value(a), bindings::stride_major(a), vl, vu,
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il, iu, abstol, m, bindings::begin_value(w),
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bindings::begin_value(z), bindings::stride_major(z),
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&opt_size_work, -1, bindings::begin_value(tmp_iwork),
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bindings::begin_value(ifail) );
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bindings::detail::array< real_type > tmp_work(
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traits::detail::to_int( opt_size_work ) );
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return invoke( jobz, range, a, vl, vu, il, iu, abstol, m, w, z, ifail,
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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 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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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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// 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 syevx_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 syevx. Its overload differs for
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// * User-defined workspace
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//
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template< typename MatrixA, 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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syevx( const char jobz, const char range, MatrixA& a,
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const typename remove_imaginary< typename bindings::value_type<
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MatrixA >::type >::type vl, const typename remove_imaginary<
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typename bindings::value_type< MatrixA >::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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MatrixA >::type >::type abstol, fortran_int_t& m, VectorW& w,
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MatrixZ& z, VectorIFAIL& ifail, Workspace work ) {
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return syevx_impl< typename bindings::value_type<
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MatrixA >::type >::invoke( jobz, range, a, vl, vu, il, iu, abstol,
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m, w, z, ifail, work );
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}
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//
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// Overloaded function for syevx. Its overload differs for
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// * Default workspace-type (optimal)
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//
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template< typename MatrixA, 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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syevx( const char jobz, const char range, MatrixA& a,
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const typename remove_imaginary< typename bindings::value_type<
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MatrixA >::type >::type vl, const typename remove_imaginary<
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typename bindings::value_type< MatrixA >::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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MatrixA >::type >::type abstol, fortran_int_t& m, VectorW& w,
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MatrixZ& z, VectorIFAIL& ifail ) {
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return syevx_impl< typename bindings::value_type<
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MatrixA >::type >::invoke( jobz, range, a, vl, vu, il, iu, abstol,
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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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