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521 lines
22 KiB
521 lines
22 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_GEES_HPP
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#define BOOST_NUMERIC_BINDINGS_LAPACK_DRIVER_GEES_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/detail/complex_utils.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 gees 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 gees( const char jobvs, const char sort,
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external_fp select, const fortran_int_t n, float* a,
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const fortran_int_t lda, fortran_int_t& sdim, float* wr, float* wi,
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float* vs, const fortran_int_t ldvs, float* work,
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const fortran_int_t lwork, fortran_bool_t* bwork ) {
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fortran_int_t info(0);
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LAPACK_SGEES( &jobvs, &sort, select, &n, a, &lda, &sdim, wr, wi, vs,
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&ldvs, work, &lwork, bwork, &info );
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return info;
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}
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//
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// Overloaded function for dispatching to
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// * netlib-compatible LAPACK backend (the default), and
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// * double value-type.
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//
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inline std::ptrdiff_t gees( const char jobvs, const char sort,
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external_fp select, const fortran_int_t n, double* a,
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const fortran_int_t lda, fortran_int_t& sdim, double* wr, double* wi,
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double* vs, const fortran_int_t ldvs, double* work,
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const fortran_int_t lwork, fortran_bool_t* bwork ) {
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fortran_int_t info(0);
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LAPACK_DGEES( &jobvs, &sort, select, &n, a, &lda, &sdim, wr, wi, vs,
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&ldvs, work, &lwork, bwork, &info );
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return info;
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}
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//
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// Overloaded function for dispatching to
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// * netlib-compatible LAPACK backend (the default), and
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// * complex<float> value-type.
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//
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inline std::ptrdiff_t gees( const char jobvs, const char sort,
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external_fp select, const fortran_int_t n, std::complex<float>* a,
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const fortran_int_t lda, fortran_int_t& sdim, std::complex<float>* w,
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std::complex<float>* vs, const fortran_int_t ldvs,
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std::complex<float>* work, const fortran_int_t lwork, float* rwork,
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fortran_bool_t* bwork ) {
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fortran_int_t info(0);
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LAPACK_CGEES( &jobvs, &sort, select, &n, a, &lda, &sdim, w, vs, &ldvs,
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work, &lwork, rwork, bwork, &info );
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return info;
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}
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//
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// Overloaded function for dispatching to
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// * netlib-compatible LAPACK backend (the default), and
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// * complex<double> value-type.
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//
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inline std::ptrdiff_t gees( const char jobvs, const char sort,
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external_fp select, const fortran_int_t n, std::complex<double>* a,
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const fortran_int_t lda, fortran_int_t& sdim, std::complex<double>* w,
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std::complex<double>* vs, const fortran_int_t ldvs,
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std::complex<double>* work, const fortran_int_t lwork, double* rwork,
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fortran_bool_t* bwork ) {
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fortran_int_t info(0);
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LAPACK_ZGEES( &jobvs, &sort, select, &n, a, &lda, &sdim, w, vs, &ldvs,
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work, &lwork, rwork, bwork, &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 gees.
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//
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template< typename Value, typename Enable = void >
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struct gees_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 gees_impl< Value, typename boost::enable_if< is_real< Value > >::type > {
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typedef Value value_type;
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typedef typename remove_imaginary< Value >::type real_type;
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//
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// Static member function for user-defined workspaces, that
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// * Deduces the required arguments for dispatching to LAPACK, and
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// * Asserts that most arguments make sense.
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//
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template< typename MatrixA, typename VectorWR, typename VectorWI,
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typename MatrixVS, typename WORK, typename BWORK >
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static std::ptrdiff_t invoke( const char jobvs, const char sort,
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external_fp select, MatrixA& a, fortran_int_t& sdim,
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VectorWR& wr, VectorWI& wi, MatrixVS& vs, detail::workspace2<
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WORK, BWORK > work ) {
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namespace bindings = ::boost::numeric::bindings;
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixA >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixVS >::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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VectorWR >::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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VectorWI >::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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MatrixVS >::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< VectorWR >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorWI >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixVS >::value) );
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BOOST_ASSERT( bindings::size(wi) >= bindings::size_column(a) );
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BOOST_ASSERT( bindings::size(work.select(fortran_bool_t())) >=
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min_size_bwork( bindings::size_column(a), sort ));
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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(wr) >= 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(vs) == 1 ||
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bindings::stride_minor(vs) == 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( jobvs == 'N' || jobvs == 'V' );
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BOOST_ASSERT( sort == 'N' || sort == 'S' );
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return detail::gees( jobvs, sort, select, bindings::size_column(a),
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bindings::begin_value(a), bindings::stride_major(a), sdim,
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bindings::begin_value(wr), bindings::begin_value(wi),
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bindings::begin_value(vs), bindings::stride_major(vs),
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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_bool_t())) );
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}
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//
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// Static member function that
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// * Figures out the minimal workspace requirements, and passes
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// the results to the user-defined workspace overload of the
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// invoke static member function
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// * Enables the unblocked algorithm (BLAS level 2)
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//
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template< typename MatrixA, typename VectorWR, typename VectorWI,
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typename MatrixVS >
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static std::ptrdiff_t invoke( const char jobvs, const char sort,
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external_fp select, MatrixA& a, fortran_int_t& sdim,
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VectorWR& wr, VectorWI& wi, MatrixVS& vs, 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(
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bindings::size_column(a) ) );
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bindings::detail::array< fortran_bool_t > tmp_bwork( min_size_bwork(
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bindings::size_column(a), sort ) );
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return invoke( jobvs, sort, select, a, sdim, wr, wi, vs,
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workspace( tmp_work, tmp_bwork ) );
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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 VectorWR, typename VectorWI,
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typename MatrixVS >
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static std::ptrdiff_t invoke( const char jobvs, const char sort,
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external_fp select, MatrixA& a, fortran_int_t& sdim,
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VectorWR& wr, VectorWI& wi, MatrixVS& vs, optimal_workspace ) {
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namespace bindings = ::boost::numeric::bindings;
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real_type opt_size_work;
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bindings::detail::array< fortran_bool_t > tmp_bwork( min_size_bwork(
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bindings::size_column(a), sort ) );
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detail::gees( jobvs, sort, select, bindings::size_column(a),
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bindings::begin_value(a), bindings::stride_major(a), sdim,
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bindings::begin_value(wr), bindings::begin_value(wi),
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bindings::begin_value(vs), bindings::stride_major(vs),
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&opt_size_work, -1, bindings::begin_value(tmp_bwork) );
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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( jobvs, sort, select, a, sdim, wr, wi, vs,
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workspace( tmp_work, tmp_bwork ) );
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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 std::max< std::ptrdiff_t >( 1, 3*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 bwork.
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//
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static std::ptrdiff_t min_size_bwork( const std::ptrdiff_t n,
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const char sort ) {
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if ( sort == 'N' )
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return 0;
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else
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return 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 gees_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 MatrixA, typename VectorW, typename MatrixVS,
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typename WORK, typename RWORK, typename BWORK >
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static std::ptrdiff_t invoke( const char jobvs, const char sort,
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external_fp select, MatrixA& a, fortran_int_t& sdim,
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VectorW& w, MatrixVS& vs, detail::workspace3< WORK, RWORK,
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BWORK > work ) {
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namespace bindings = ::boost::numeric::bindings;
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixA >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixVS >::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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MatrixVS >::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< MatrixVS >::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_bool_t())) >=
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min_size_bwork( bindings::size_column(a), sort ));
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BOOST_ASSERT( bindings::size(work.select(real_type())) >=
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min_size_rwork( bindings::size_column(a) ));
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BOOST_ASSERT( bindings::size(work.select(value_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(vs) == 1 ||
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bindings::stride_minor(vs) == 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( jobvs == 'N' || jobvs == 'V' );
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BOOST_ASSERT( sort == 'N' || sort == 'S' );
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return detail::gees( jobvs, sort, select, bindings::size_column(a),
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bindings::begin_value(a), bindings::stride_major(a), sdim,
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bindings::begin_value(w), bindings::begin_value(vs),
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bindings::stride_major(vs),
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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::begin_value(work.select(fortran_bool_t())) );
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}
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//
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// Static member function that
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// * Figures out the minimal workspace requirements, and passes
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// the results to the user-defined workspace overload of the
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// invoke static member function
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// * Enables the unblocked algorithm (BLAS level 2)
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//
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template< typename MatrixA, typename VectorW, typename MatrixVS >
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static std::ptrdiff_t invoke( const char jobvs, const char sort,
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external_fp select, MatrixA& a, fortran_int_t& sdim,
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VectorW& w, MatrixVS& vs, 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(
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bindings::size_column(a) ) );
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bindings::detail::array< real_type > tmp_rwork( min_size_rwork(
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bindings::size_column(a) ) );
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bindings::detail::array< fortran_bool_t > tmp_bwork( min_size_bwork(
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bindings::size_column(a), sort ) );
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return invoke( jobvs, sort, select, a, sdim, w, vs,
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workspace( tmp_work, tmp_rwork, tmp_bwork ) );
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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 MatrixVS >
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static std::ptrdiff_t invoke( const char jobvs, const char sort,
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external_fp select, MatrixA& a, fortran_int_t& sdim,
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VectorW& w, MatrixVS& vs, optimal_workspace ) {
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namespace bindings = ::boost::numeric::bindings;
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value_type opt_size_work;
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bindings::detail::array< real_type > tmp_rwork( min_size_rwork(
|
||
|
bindings::size_column(a) ) );
|
||
|
bindings::detail::array< fortran_bool_t > tmp_bwork( min_size_bwork(
|
||
|
bindings::size_column(a), sort ) );
|
||
|
detail::gees( jobvs, sort, select, bindings::size_column(a),
|
||
|
bindings::begin_value(a), bindings::stride_major(a), sdim,
|
||
|
bindings::begin_value(w), bindings::begin_value(vs),
|
||
|
bindings::stride_major(vs), &opt_size_work, -1,
|
||
|
bindings::begin_value(tmp_rwork),
|
||
|
bindings::begin_value(tmp_bwork) );
|
||
|
bindings::detail::array< value_type > tmp_work(
|
||
|
traits::detail::to_int( opt_size_work ) );
|
||
|
return invoke( jobvs, sort, select, a, sdim, w, vs,
|
||
|
workspace( tmp_work, tmp_rwork, tmp_bwork ) );
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// Static member function that returns the minimum size of
|
||
|
// workspace-array work.
|
||
|
//
|
||
|
static std::ptrdiff_t min_size_work( const std::ptrdiff_t n ) {
|
||
|
return std::max< std::ptrdiff_t >( 1, 2*n );
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// Static member function that returns the minimum size of
|
||
|
// workspace-array rwork.
|
||
|
//
|
||
|
static std::ptrdiff_t min_size_rwork( const std::ptrdiff_t n ) {
|
||
|
return n;
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// Static member function that returns the minimum size of
|
||
|
// workspace-array bwork.
|
||
|
//
|
||
|
static std::ptrdiff_t min_size_bwork( const std::ptrdiff_t n,
|
||
|
const char sort ) {
|
||
|
if ( sort == 'N' )
|
||
|
return 0;
|
||
|
else
|
||
|
return n;
|
||
|
}
|
||
|
};
|
||
|
|
||
|
|
||
|
//
|
||
|
// Functions for direct use. These functions are overloaded for temporaries,
|
||
|
// so that wrapped types can still be passed and used for write-access. In
|
||
|
// addition, if applicable, they are overloaded for user-defined workspaces.
|
||
|
// Calls to these functions are passed to the gees_impl classes. In the
|
||
|
// documentation, most overloads are collapsed to avoid a large number of
|
||
|
// prototypes which are very similar.
|
||
|
//
|
||
|
|
||
|
//
|
||
|
// Overloaded function for gees. Its overload differs for
|
||
|
// * User-defined workspace
|
||
|
//
|
||
|
template< typename MatrixA, typename VectorWR, typename VectorWI,
|
||
|
typename MatrixVS, typename Workspace >
|
||
|
inline typename boost::enable_if< detail::is_workspace< Workspace >,
|
||
|
std::ptrdiff_t >::type
|
||
|
gees( const char jobvs, const char sort, external_fp select, MatrixA& a,
|
||
|
fortran_int_t& sdim, VectorWR& wr, VectorWI& wi, MatrixVS& vs,
|
||
|
Workspace work ) {
|
||
|
return gees_impl< typename bindings::value_type<
|
||
|
MatrixA >::type >::invoke( jobvs, sort, select, a, sdim, wr, wi,
|
||
|
vs, work );
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// Overloaded function for gees. Its overload differs for
|
||
|
// * Default workspace-type (optimal)
|
||
|
//
|
||
|
template< typename MatrixA, typename VectorWR, typename VectorWI,
|
||
|
typename MatrixVS >
|
||
|
inline typename boost::disable_if< detail::is_workspace< MatrixVS >,
|
||
|
std::ptrdiff_t >::type
|
||
|
gees( const char jobvs, const char sort, external_fp select, MatrixA& a,
|
||
|
fortran_int_t& sdim, VectorWR& wr, VectorWI& wi, MatrixVS& vs ) {
|
||
|
return gees_impl< typename bindings::value_type<
|
||
|
MatrixA >::type >::invoke( jobvs, sort, select, a, sdim, wr, wi,
|
||
|
vs, optimal_workspace() );
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// Overloaded function for gees. Its overload differs for
|
||
|
// * User-defined workspace
|
||
|
//
|
||
|
template< typename MatrixA, typename VectorW, typename MatrixVS,
|
||
|
typename Workspace >
|
||
|
inline typename boost::enable_if< mpl::and_< is_complex<
|
||
|
typename bindings::value_type< MatrixA >::type >,
|
||
|
detail::is_workspace< Workspace > >,
|
||
|
std::ptrdiff_t >::type
|
||
|
gees( const char jobvs, const char sort, external_fp select, MatrixA& a,
|
||
|
fortran_int_t& sdim, VectorW& w, MatrixVS& vs, Workspace work ) {
|
||
|
return gees_impl< typename bindings::value_type<
|
||
|
MatrixA >::type >::invoke( jobvs, sort, select, a, sdim, w, vs,
|
||
|
work );
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// Overloaded function for gees. Its overload differs for
|
||
|
// * Default workspace-type (optimal)
|
||
|
//
|
||
|
template< typename MatrixA, typename VectorW, typename MatrixVS >
|
||
|
inline typename boost::disable_if< mpl::or_< is_real<
|
||
|
typename bindings::value_type< MatrixA >::type >,
|
||
|
detail::is_workspace< MatrixVS > >,
|
||
|
std::ptrdiff_t >::type
|
||
|
gees( const char jobvs, const char sort, external_fp select, MatrixA& a,
|
||
|
fortran_int_t& sdim, VectorW& w, MatrixVS& vs ) {
|
||
|
return gees_impl< typename bindings::value_type<
|
||
|
MatrixA >::type >::invoke( jobvs, sort, select, a, sdim, w, vs,
|
||
|
optimal_workspace() );
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// Overloaded function for gees. Its overload differs for
|
||
|
// * VectorW
|
||
|
// * User-defined workspace
|
||
|
//
|
||
|
template< typename MatrixA, typename VectorW, typename MatrixVS,
|
||
|
typename Workspace >
|
||
|
inline typename boost::enable_if< mpl::and_< is_real<
|
||
|
typename bindings::value_type< MatrixA >::type >,
|
||
|
detail::is_workspace< Workspace > >,
|
||
|
std::ptrdiff_t >::type
|
||
|
gees( const char jobvs, const char sort, external_fp select, MatrixA& a,
|
||
|
fortran_int_t& sdim, VectorW& w, MatrixVS& vs, Workspace work ) {
|
||
|
std::ptrdiff_t info = gees_impl< typename bindings::value_type<
|
||
|
MatrixA >::type >::invoke( jobvs, sort, select, a, sdim,
|
||
|
bindings::detail::real_part_view(w), bindings::detail::imag_part_view(w),
|
||
|
vs, work );
|
||
|
bindings::detail::interlace(w);
|
||
|
return info;
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// Overloaded function for gees. Its overload differs for
|
||
|
// * VectorW
|
||
|
// * Default workspace-type (optimal)
|
||
|
//
|
||
|
template< typename MatrixA, typename VectorW, typename MatrixVS >
|
||
|
inline typename boost::disable_if< mpl::or_< is_complex<
|
||
|
typename bindings::value_type< MatrixA >::type >,
|
||
|
detail::is_workspace< MatrixVS > >,
|
||
|
std::ptrdiff_t >::type
|
||
|
gees( const char jobvs, const char sort, external_fp select, MatrixA& a,
|
||
|
fortran_int_t& sdim, VectorW& w, MatrixVS& vs ) {
|
||
|
std::ptrdiff_t info = gees_impl< typename bindings::value_type<
|
||
|
MatrixA >::type >::invoke( jobvs, sort, select, a, sdim,
|
||
|
bindings::detail::real_part_view(w), bindings::detail::imag_part_view(w),
|
||
|
vs, optimal_workspace() );
|
||
|
bindings::detail::interlace(w);
|
||
|
return info;
|
||
|
}
|
||
|
|
||
|
} // namespace lapack
|
||
|
} // namespace bindings
|
||
|
} // namespace numeric
|
||
|
} // namespace boost
|
||
|
|
||
|
#endif
|