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520 lines
22 KiB
520 lines
22 KiB
// |
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// Copyright (c) 2002--2010 |
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// Toon Knapen, Karl Meerbergen, Kresimir Fresl, |
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// Thomas Klimpel and Rutger ter Borg |
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// |
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// Distributed under the Boost Software License, Version 1.0. |
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// (See accompanying file LICENSE_1_0.txt or copy at |
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// http://www.boost.org/LICENSE_1_0.txt) |
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// |
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// THIS FILE IS AUTOMATICALLY GENERATED |
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// PLEASE DO NOT EDIT! |
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// |
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#ifndef BOOST_NUMERIC_BINDINGS_LAPACK_DRIVER_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( |
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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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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), &opt_size_work, -1, |
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bindings::begin_value(tmp_rwork), |
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bindings::begin_value(tmp_bwork) ); |
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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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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 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, 2*n ); |
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} |
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// |
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// Static member function that returns the minimum size of |
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// workspace-array rwork. |
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// |
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static std::ptrdiff_t min_size_rwork( const std::ptrdiff_t n ) { |
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return 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 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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// 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 gees_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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// |
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// Overloaded function for gees. Its overload differs for |
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// * User-defined workspace |
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// |
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template< typename MatrixA, typename VectorWR, typename VectorWI, |
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typename MatrixVS, 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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gees( const char jobvs, const char sort, external_fp select, MatrixA& a, |
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fortran_int_t& sdim, VectorWR& wr, VectorWI& wi, MatrixVS& vs, |
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Workspace work ) { |
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return gees_impl< typename bindings::value_type< |
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MatrixA >::type >::invoke( jobvs, sort, select, a, sdim, wr, wi, |
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vs, work ); |
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} |
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|
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// |
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// Overloaded function for gees. Its overload differs for |
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// * Default workspace-type (optimal) |
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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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inline typename boost::disable_if< detail::is_workspace< MatrixVS >, |
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std::ptrdiff_t >::type |
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gees( const char jobvs, const char sort, external_fp select, MatrixA& a, |
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fortran_int_t& sdim, VectorWR& wr, VectorWI& wi, MatrixVS& vs ) { |
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return gees_impl< typename bindings::value_type< |
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MatrixA >::type >::invoke( jobvs, sort, select, a, sdim, wr, wi, |
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vs, optimal_workspace() ); |
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} |
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|
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// |
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// Overloaded function for gees. 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 MatrixVS, |
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typename Workspace > |
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inline typename boost::enable_if< mpl::and_< is_complex< |
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typename bindings::value_type< MatrixA >::type >, |
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detail::is_workspace< Workspace > >, |
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std::ptrdiff_t >::type |
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gees( const char jobvs, const char sort, external_fp select, MatrixA& a, |
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fortran_int_t& sdim, VectorW& w, MatrixVS& vs, Workspace work ) { |
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return gees_impl< typename bindings::value_type< |
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MatrixA >::type >::invoke( jobvs, sort, select, a, sdim, w, vs, |
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work ); |
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} |
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|
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// |
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// Overloaded function for gees. 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 MatrixVS > |
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inline typename boost::disable_if< mpl::or_< is_real< |
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typename bindings::value_type< MatrixA >::type >, |
|
detail::is_workspace< MatrixVS > >, |
|
std::ptrdiff_t >::type |
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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() ); |
|
} |
|
|
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// |
|
// 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
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