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581 lines
27 KiB
581 lines
27 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_GGES_HPP
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#define BOOST_NUMERIC_BINDINGS_LAPACK_DRIVER_GGES_HPP
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#include <boost/assert.hpp>
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#include <boost/numeric/bindings/begin.hpp>
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#include <boost/numeric/bindings/detail/array.hpp>
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#include <boost/numeric/bindings/is_column_major.hpp>
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#include <boost/numeric/bindings/is_complex.hpp>
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#include <boost/numeric/bindings/is_mutable.hpp>
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#include <boost/numeric/bindings/is_real.hpp>
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#include <boost/numeric/bindings/lapack/workspace.hpp>
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#include <boost/numeric/bindings/remove_imaginary.hpp>
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#include <boost/numeric/bindings/size.hpp>
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#include <boost/numeric/bindings/stride.hpp>
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#include <boost/numeric/bindings/traits/detail/utils.hpp>
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#include <boost/numeric/bindings/value_type.hpp>
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#include <boost/static_assert.hpp>
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#include <boost/type_traits/is_same.hpp>
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#include <boost/type_traits/remove_const.hpp>
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#include <boost/utility/enable_if.hpp>
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//
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// The LAPACK-backend for gges 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 gges( const char jobvsl, const char jobvsr,
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const char sort, external_fp selctg, const fortran_int_t n, float* a,
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const fortran_int_t lda, float* b, const fortran_int_t ldb,
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fortran_int_t& sdim, float* alphar, float* alphai, float* beta,
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float* vsl, const fortran_int_t ldvsl, float* vsr,
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const fortran_int_t ldvsr, float* work, const fortran_int_t lwork,
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fortran_bool_t* bwork ) {
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fortran_int_t info(0);
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LAPACK_SGGES( &jobvsl, &jobvsr, &sort, selctg, &n, a, &lda, b, &ldb,
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&sdim, alphar, alphai, beta, vsl, &ldvsl, vsr, &ldvsr, work,
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&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 gges( const char jobvsl, const char jobvsr,
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const char sort, external_fp selctg, const fortran_int_t n, double* a,
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const fortran_int_t lda, double* b, const fortran_int_t ldb,
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fortran_int_t& sdim, double* alphar, double* alphai, double* beta,
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double* vsl, const fortran_int_t ldvsl, double* vsr,
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const fortran_int_t ldvsr, double* work, const fortran_int_t lwork,
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fortran_bool_t* bwork ) {
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fortran_int_t info(0);
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LAPACK_DGGES( &jobvsl, &jobvsr, &sort, selctg, &n, a, &lda, b, &ldb,
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&sdim, alphar, alphai, beta, vsl, &ldvsl, vsr, &ldvsr, work,
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&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 gges( const char jobvsl, const char jobvsr,
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const char sort, external_fp selctg, const fortran_int_t n,
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std::complex<float>* a, const fortran_int_t lda,
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std::complex<float>* b, const fortran_int_t ldb, fortran_int_t& sdim,
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std::complex<float>* alpha, std::complex<float>* beta,
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std::complex<float>* vsl, const fortran_int_t ldvsl,
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std::complex<float>* vsr, const fortran_int_t ldvsr,
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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_CGGES( &jobvsl, &jobvsr, &sort, selctg, &n, a, &lda, b, &ldb,
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&sdim, alpha, beta, vsl, &ldvsl, vsr, &ldvsr, work, &lwork, rwork,
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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 gges( const char jobvsl, const char jobvsr,
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const char sort, external_fp selctg, const fortran_int_t n,
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std::complex<double>* a, const fortran_int_t lda,
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std::complex<double>* b, const fortran_int_t ldb, fortran_int_t& sdim,
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std::complex<double>* alpha, std::complex<double>* beta,
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std::complex<double>* vsl, const fortran_int_t ldvsl,
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std::complex<double>* vsr, const fortran_int_t ldvsr,
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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_ZGGES( &jobvsl, &jobvsr, &sort, selctg, &n, a, &lda, b, &ldb,
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&sdim, alpha, beta, vsl, &ldvsl, vsr, &ldvsr, work, &lwork, rwork,
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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 gges.
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//
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template< typename Value, typename Enable = void >
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struct gges_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 gges_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 MatrixB, typename VectorALPHAR,
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typename VectorALPHAI, typename VectorBETA, typename MatrixVSL,
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typename MatrixVSR, typename WORK, typename BWORK >
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static std::ptrdiff_t invoke( const char jobvsl, const char jobvsr,
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const char sort, external_fp selctg, MatrixA& a, MatrixB& b,
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fortran_int_t& sdim, VectorALPHAR& alphar,
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VectorALPHAI& alphai, VectorBETA& beta, MatrixVSL& vsl,
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MatrixVSR& vsr, detail::workspace2< 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< MatrixB >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixVSL >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixVSR >::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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MatrixB >::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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VectorALPHAR >::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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VectorALPHAI >::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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VectorBETA >::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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MatrixVSL >::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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MatrixVSR >::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< MatrixB >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorALPHAR >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorALPHAI >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorBETA >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixVSL >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixVSR >::value) );
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BOOST_ASSERT( bindings::size(alphai) >= bindings::size_column(a) );
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BOOST_ASSERT( bindings::size(alphar) >= 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_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(b) == 1 ||
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bindings::stride_minor(b) == 1 );
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BOOST_ASSERT( bindings::size_minor(vsl) == 1 ||
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bindings::stride_minor(vsl) == 1 );
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BOOST_ASSERT( bindings::size_minor(vsr) == 1 ||
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bindings::stride_minor(vsr) == 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( bindings::stride_major(b) >= std::max< std::ptrdiff_t >(1,
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bindings::size_column(a)) );
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BOOST_ASSERT( jobvsl == 'N' || jobvsl == 'V' );
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BOOST_ASSERT( jobvsr == 'N' || jobvsr == 'V' );
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BOOST_ASSERT( sort == 'N' || sort == 'S' );
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return detail::gges( jobvsl, jobvsr, sort, selctg,
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bindings::size_column(a), bindings::begin_value(a),
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bindings::stride_major(a), bindings::begin_value(b),
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bindings::stride_major(b), sdim,
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bindings::begin_value(alphar), bindings::begin_value(alphai),
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bindings::begin_value(beta), bindings::begin_value(vsl),
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bindings::stride_major(vsl), bindings::begin_value(vsr),
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bindings::stride_major(vsr),
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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 MatrixB, typename VectorALPHAR,
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typename VectorALPHAI, typename VectorBETA, typename MatrixVSL,
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typename MatrixVSR >
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static std::ptrdiff_t invoke( const char jobvsl, const char jobvsr,
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const char sort, external_fp selctg, MatrixA& a, MatrixB& b,
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fortran_int_t& sdim, VectorALPHAR& alphar,
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VectorALPHAI& alphai, VectorBETA& beta, MatrixVSL& vsl,
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MatrixVSR& vsr, 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( jobvsl, jobvsr, sort, selctg, a, b, sdim, alphar,
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alphai, beta, vsl, vsr, 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 MatrixB, typename VectorALPHAR,
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typename VectorALPHAI, typename VectorBETA, typename MatrixVSL,
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typename MatrixVSR >
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static std::ptrdiff_t invoke( const char jobvsl, const char jobvsr,
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const char sort, external_fp selctg, MatrixA& a, MatrixB& b,
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fortran_int_t& sdim, VectorALPHAR& alphar,
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VectorALPHAI& alphai, VectorBETA& beta, MatrixVSL& vsl,
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MatrixVSR& vsr, 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::gges( jobvsl, jobvsr, sort, selctg,
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bindings::size_column(a), bindings::begin_value(a),
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bindings::stride_major(a), bindings::begin_value(b),
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bindings::stride_major(b), sdim,
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bindings::begin_value(alphar), bindings::begin_value(alphai),
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bindings::begin_value(beta), bindings::begin_value(vsl),
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bindings::stride_major(vsl), bindings::begin_value(vsr),
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bindings::stride_major(vsr), &opt_size_work, -1,
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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( jobvsl, jobvsr, sort, selctg, a, b, sdim, alphar,
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alphai, beta, vsl, vsr, 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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//
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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 == 0 ) {
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|
|
return 1;
|
||
|
|
} else {
|
||
|
|
return std::max< std::ptrdiff_t >( 8*n, 6*n + 16 );
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
//
|
||
|
|
// 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;
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
//
|
||
|
|
// This implementation is enabled if Value is a complex type.
|
||
|
|
//
|
||
|
|
template< typename Value >
|
||
|
|
struct gges_impl< Value, typename boost::enable_if< is_complex< Value > >::type > {
|
||
|
|
|
||
|
|
typedef Value value_type;
|
||
|
|
typedef typename remove_imaginary< Value >::type real_type;
|
||
|
|
|
||
|
|
//
|
||
|
|
// Static member function for user-defined workspaces, that
|
||
|
|
// * Deduces the required arguments for dispatching to LAPACK, and
|
||
|
|
// * Asserts that most arguments make sense.
|
||
|
|
//
|
||
|
|
template< typename MatrixA, typename MatrixB, typename VectorALPHA,
|
||
|
|
typename VectorBETA, typename MatrixVSL, typename MatrixVSR,
|
||
|
|
typename WORK, typename RWORK, typename BWORK >
|
||
|
|
static std::ptrdiff_t invoke( const char jobvsl, const char jobvsr,
|
||
|
|
const char sort, external_fp selctg, MatrixA& a, MatrixB& b,
|
||
|
|
fortran_int_t& sdim, VectorALPHA& alpha, VectorBETA& beta,
|
||
|
|
MatrixVSL& vsl, MatrixVSR& vsr, detail::workspace3< WORK, RWORK,
|
||
|
|
BWORK > work ) {
|
||
|
|
namespace bindings = ::boost::numeric::bindings;
|
||
|
|
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixA >::value) );
|
||
|
|
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixB >::value) );
|
||
|
|
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixVSL >::value) );
|
||
|
|
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixVSR >::value) );
|
||
|
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
|
typename bindings::value_type< MatrixA >::type >::type,
|
||
|
|
typename remove_const< typename bindings::value_type<
|
||
|
|
MatrixB >::type >::type >::value) );
|
||
|
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
|
typename bindings::value_type< MatrixA >::type >::type,
|
||
|
|
typename remove_const< typename bindings::value_type<
|
||
|
|
VectorALPHA >::type >::type >::value) );
|
||
|
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
|
typename bindings::value_type< MatrixA >::type >::type,
|
||
|
|
typename remove_const< typename bindings::value_type<
|
||
|
|
VectorBETA >::type >::type >::value) );
|
||
|
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
|
typename bindings::value_type< MatrixA >::type >::type,
|
||
|
|
typename remove_const< typename bindings::value_type<
|
||
|
|
MatrixVSL >::type >::type >::value) );
|
||
|
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
|
typename bindings::value_type< MatrixA >::type >::type,
|
||
|
|
typename remove_const< typename bindings::value_type<
|
||
|
|
MatrixVSR >::type >::type >::value) );
|
||
|
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixA >::value) );
|
||
|
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixB >::value) );
|
||
|
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorALPHA >::value) );
|
||
|
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorBETA >::value) );
|
||
|
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixVSL >::value) );
|
||
|
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixVSR >::value) );
|
||
|
|
BOOST_ASSERT( bindings::size(alpha) >= bindings::size_column(a) );
|
||
|
|
BOOST_ASSERT( bindings::size(beta) >= bindings::size_column(a) );
|
||
|
|
BOOST_ASSERT( bindings::size(work.select(fortran_bool_t())) >=
|
||
|
|
min_size_bwork( bindings::size_column(a), sort ));
|
||
|
|
BOOST_ASSERT( bindings::size(work.select(real_type())) >=
|
||
|
|
min_size_rwork( bindings::size_column(a) ));
|
||
|
|
BOOST_ASSERT( bindings::size(work.select(value_type())) >=
|
||
|
|
min_size_work( bindings::size_column(a) ));
|
||
|
|
BOOST_ASSERT( bindings::size_column(a) >= 0 );
|
||
|
|
BOOST_ASSERT( bindings::size_minor(a) == 1 ||
|
||
|
|
bindings::stride_minor(a) == 1 );
|
||
|
|
BOOST_ASSERT( bindings::size_minor(b) == 1 ||
|
||
|
|
bindings::stride_minor(b) == 1 );
|
||
|
|
BOOST_ASSERT( bindings::size_minor(vsl) == 1 ||
|
||
|
|
bindings::stride_minor(vsl) == 1 );
|
||
|
|
BOOST_ASSERT( bindings::size_minor(vsr) == 1 ||
|
||
|
|
bindings::stride_minor(vsr) == 1 );
|
||
|
|
BOOST_ASSERT( bindings::stride_major(a) >= std::max< std::ptrdiff_t >(1,
|
||
|
|
bindings::size_column(a)) );
|
||
|
|
BOOST_ASSERT( bindings::stride_major(b) >= std::max< std::ptrdiff_t >(1,
|
||
|
|
bindings::size_column(a)) );
|
||
|
|
BOOST_ASSERT( jobvsl == 'N' || jobvsl == 'V' );
|
||
|
|
BOOST_ASSERT( jobvsr == 'N' || jobvsr == 'V' );
|
||
|
|
BOOST_ASSERT( sort == 'N' || sort == 'S' );
|
||
|
|
return detail::gges( jobvsl, jobvsr, sort, selctg,
|
||
|
|
bindings::size_column(a), bindings::begin_value(a),
|
||
|
|
bindings::stride_major(a), bindings::begin_value(b),
|
||
|
|
bindings::stride_major(b), sdim, bindings::begin_value(alpha),
|
||
|
|
bindings::begin_value(beta), bindings::begin_value(vsl),
|
||
|
|
bindings::stride_major(vsl), bindings::begin_value(vsr),
|
||
|
|
bindings::stride_major(vsr),
|
||
|
|
bindings::begin_value(work.select(value_type())),
|
||
|
|
bindings::size(work.select(value_type())),
|
||
|
|
bindings::begin_value(work.select(real_type())),
|
||
|
|
bindings::begin_value(work.select(fortran_bool_t())) );
|
||
|
|
}
|
||
|
|
|
||
|
|
//
|
||
|
|
// Static member function that
|
||
|
|
// * Figures out the minimal workspace requirements, and passes
|
||
|
|
// the results to the user-defined workspace overload of the
|
||
|
|
// invoke static member function
|
||
|
|
// * Enables the unblocked algorithm (BLAS level 2)
|
||
|
|
//
|
||
|
|
template< typename MatrixA, typename MatrixB, typename VectorALPHA,
|
||
|
|
typename VectorBETA, typename MatrixVSL, typename MatrixVSR >
|
||
|
|
static std::ptrdiff_t invoke( const char jobvsl, const char jobvsr,
|
||
|
|
const char sort, external_fp selctg, MatrixA& a, MatrixB& b,
|
||
|
|
fortran_int_t& sdim, VectorALPHA& alpha, VectorBETA& beta,
|
||
|
|
MatrixVSL& vsl, MatrixVSR& vsr, minimal_workspace ) {
|
||
|
|
namespace bindings = ::boost::numeric::bindings;
|
||
|
|
bindings::detail::array< value_type > tmp_work( min_size_work(
|
||
|
|
bindings::size_column(a) ) );
|
||
|
|
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 ) );
|
||
|
|
return invoke( jobvsl, jobvsr, sort, selctg, a, b, sdim, alpha, beta,
|
||
|
|
vsl, vsr, workspace( tmp_work, tmp_rwork, tmp_bwork ) );
|
||
|
|
}
|
||
|
|
|
||
|
|
//
|
||
|
|
// Static member function that
|
||
|
|
// * Figures out the optimal workspace requirements, and passes
|
||
|
|
// the results to the user-defined workspace overload of the
|
||
|
|
// invoke static member
|
||
|
|
// * Enables the blocked algorithm (BLAS level 3)
|
||
|
|
//
|
||
|
|
template< typename MatrixA, typename MatrixB, typename VectorALPHA,
|
||
|
|
typename VectorBETA, typename MatrixVSL, typename MatrixVSR >
|
||
|
|
static std::ptrdiff_t invoke( const char jobvsl, const char jobvsr,
|
||
|
|
const char sort, external_fp selctg, MatrixA& a, MatrixB& b,
|
||
|
|
fortran_int_t& sdim, VectorALPHA& alpha, VectorBETA& beta,
|
||
|
|
MatrixVSL& vsl, MatrixVSR& vsr, optimal_workspace ) {
|
||
|
|
namespace bindings = ::boost::numeric::bindings;
|
||
|
|
value_type opt_size_work;
|
||
|
|
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::gges( jobvsl, jobvsr, sort, selctg,
|
||
|
|
bindings::size_column(a), bindings::begin_value(a),
|
||
|
|
bindings::stride_major(a), bindings::begin_value(b),
|
||
|
|
bindings::stride_major(b), sdim, bindings::begin_value(alpha),
|
||
|
|
bindings::begin_value(beta), bindings::begin_value(vsl),
|
||
|
|
bindings::stride_major(vsl), bindings::begin_value(vsr),
|
||
|
|
bindings::stride_major(vsr), &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( jobvsl, jobvsr, sort, selctg, a, b, sdim, alpha, beta,
|
||
|
|
vsl, vsr, 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 8*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 gges_impl classes. In the
|
||
|
|
// documentation, most overloads are collapsed to avoid a large number of
|
||
|
|
// prototypes which are very similar.
|
||
|
|
//
|
||
|
|
|
||
|
|
//
|
||
|
|
// Overloaded function for gges. Its overload differs for
|
||
|
|
// * User-defined workspace
|
||
|
|
//
|
||
|
|
template< typename MatrixA, typename MatrixB, typename VectorALPHAR,
|
||
|
|
typename VectorALPHAI, typename VectorBETA, typename MatrixVSL,
|
||
|
|
typename MatrixVSR, typename Workspace >
|
||
|
|
inline typename boost::enable_if< detail::is_workspace< Workspace >,
|
||
|
|
std::ptrdiff_t >::type
|
||
|
|
gges( const char jobvsl, const char jobvsr, const char sort,
|
||
|
|
external_fp selctg, MatrixA& a, MatrixB& b, fortran_int_t& sdim,
|
||
|
|
VectorALPHAR& alphar, VectorALPHAI& alphai, VectorBETA& beta,
|
||
|
|
MatrixVSL& vsl, MatrixVSR& vsr, Workspace work ) {
|
||
|
|
return gges_impl< typename bindings::value_type<
|
||
|
|
MatrixA >::type >::invoke( jobvsl, jobvsr, sort, selctg, a, b,
|
||
|
|
sdim, alphar, alphai, beta, vsl, vsr, work );
|
||
|
|
}
|
||
|
|
|
||
|
|
//
|
||
|
|
// Overloaded function for gges. Its overload differs for
|
||
|
|
// * Default workspace-type (optimal)
|
||
|
|
//
|
||
|
|
template< typename MatrixA, typename MatrixB, typename VectorALPHAR,
|
||
|
|
typename VectorALPHAI, typename VectorBETA, typename MatrixVSL,
|
||
|
|
typename MatrixVSR >
|
||
|
|
inline typename boost::disable_if< detail::is_workspace< MatrixVSR >,
|
||
|
|
std::ptrdiff_t >::type
|
||
|
|
gges( const char jobvsl, const char jobvsr, const char sort,
|
||
|
|
external_fp selctg, MatrixA& a, MatrixB& b, fortran_int_t& sdim,
|
||
|
|
VectorALPHAR& alphar, VectorALPHAI& alphai, VectorBETA& beta,
|
||
|
|
MatrixVSL& vsl, MatrixVSR& vsr ) {
|
||
|
|
return gges_impl< typename bindings::value_type<
|
||
|
|
MatrixA >::type >::invoke( jobvsl, jobvsr, sort, selctg, a, b,
|
||
|
|
sdim, alphar, alphai, beta, vsl, vsr, optimal_workspace() );
|
||
|
|
}
|
||
|
|
|
||
|
|
//
|
||
|
|
// Overloaded function for gges. Its overload differs for
|
||
|
|
// * User-defined workspace
|
||
|
|
//
|
||
|
|
template< typename MatrixA, typename MatrixB, typename VectorALPHA,
|
||
|
|
typename VectorBETA, typename MatrixVSL, typename MatrixVSR,
|
||
|
|
typename Workspace >
|
||
|
|
inline typename boost::enable_if< detail::is_workspace< Workspace >,
|
||
|
|
std::ptrdiff_t >::type
|
||
|
|
gges( const char jobvsl, const char jobvsr, const char sort,
|
||
|
|
external_fp selctg, MatrixA& a, MatrixB& b, fortran_int_t& sdim,
|
||
|
|
VectorALPHA& alpha, VectorBETA& beta, MatrixVSL& vsl, MatrixVSR& vsr,
|
||
|
|
Workspace work ) {
|
||
|
|
return gges_impl< typename bindings::value_type<
|
||
|
|
MatrixA >::type >::invoke( jobvsl, jobvsr, sort, selctg, a, b,
|
||
|
|
sdim, alpha, beta, vsl, vsr, work );
|
||
|
|
}
|
||
|
|
|
||
|
|
//
|
||
|
|
// Overloaded function for gges. Its overload differs for
|
||
|
|
// * Default workspace-type (optimal)
|
||
|
|
//
|
||
|
|
template< typename MatrixA, typename MatrixB, typename VectorALPHA,
|
||
|
|
typename VectorBETA, typename MatrixVSL, typename MatrixVSR >
|
||
|
|
inline typename boost::disable_if< detail::is_workspace< MatrixVSR >,
|
||
|
|
std::ptrdiff_t >::type
|
||
|
|
gges( const char jobvsl, const char jobvsr, const char sort,
|
||
|
|
external_fp selctg, MatrixA& a, MatrixB& b, fortran_int_t& sdim,
|
||
|
|
VectorALPHA& alpha, VectorBETA& beta, MatrixVSL& vsl,
|
||
|
|
MatrixVSR& vsr ) {
|
||
|
|
return gges_impl< typename bindings::value_type<
|
||
|
|
MatrixA >::type >::invoke( jobvsl, jobvsr, sort, selctg, a, b,
|
||
|
|
sdim, alpha, beta, vsl, vsr, optimal_workspace() );
|
||
|
|
}
|
||
|
|
|
||
|
|
} // namespace lapack
|
||
|
|
} // namespace bindings
|
||
|
|
} // namespace numeric
|
||
|
|
} // namespace boost
|
||
|
|
|
||
|
|
#endif
|