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622 lines
30 KiB
622 lines
30 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_COMPUTATIONAL_TGSEN_HPP
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#define BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_TGSEN_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 tgsen 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 tgsen( const fortran_int_t ijob,
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const fortran_bool_t wantq, const fortran_bool_t wantz,
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const fortran_bool_t* select, 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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float* alphar, float* alphai, float* beta, float* q,
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const fortran_int_t ldq, float* z, const fortran_int_t ldz,
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fortran_int_t& m, float& pl, float& pr, float* dif, float* work,
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const fortran_int_t lwork, fortran_int_t* iwork,
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const fortran_int_t liwork ) {
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fortran_int_t info(0);
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LAPACK_STGSEN( &ijob, &wantq, &wantz, select, &n, a, &lda, b, &ldb,
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alphar, alphai, beta, q, &ldq, z, &ldz, &m, &pl, &pr, dif, work,
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&lwork, iwork, &liwork, &info );
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return info;
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}
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//
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// Overloaded function for dispatching to
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// * netlib-compatible LAPACK backend (the default), and
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// * double value-type.
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//
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inline std::ptrdiff_t tgsen( const fortran_int_t ijob,
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const fortran_bool_t wantq, const fortran_bool_t wantz,
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const fortran_bool_t* select, 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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double* alphar, double* alphai, double* beta, double* q,
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const fortran_int_t ldq, double* z, const fortran_int_t ldz,
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fortran_int_t& m, double& pl, double& pr, double* dif, double* work,
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const fortran_int_t lwork, fortran_int_t* iwork,
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const fortran_int_t liwork ) {
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fortran_int_t info(0);
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LAPACK_DTGSEN( &ijob, &wantq, &wantz, select, &n, a, &lda, b, &ldb,
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alphar, alphai, beta, q, &ldq, z, &ldz, &m, &pl, &pr, dif, work,
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&lwork, iwork, &liwork, &info );
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return info;
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}
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//
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// Overloaded function for dispatching to
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// * netlib-compatible LAPACK backend (the default), and
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// * complex<float> value-type.
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//
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inline std::ptrdiff_t tgsen( const fortran_int_t ijob,
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const fortran_bool_t wantq, const fortran_bool_t wantz,
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const fortran_bool_t* select, 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,
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std::complex<float>* alpha, std::complex<float>* beta,
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std::complex<float>* q, const fortran_int_t ldq,
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std::complex<float>* z, const fortran_int_t ldz, fortran_int_t& m,
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float& pl, float& pr, float* dif, std::complex<float>* work,
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const fortran_int_t lwork, fortran_int_t* iwork,
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const fortran_int_t liwork ) {
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fortran_int_t info(0);
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LAPACK_CTGSEN( &ijob, &wantq, &wantz, select, &n, a, &lda, b, &ldb, alpha,
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beta, q, &ldq, z, &ldz, &m, &pl, &pr, dif, work, &lwork, iwork,
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&liwork, &info );
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return info;
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}
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//
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// Overloaded function for dispatching to
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// * netlib-compatible LAPACK backend (the default), and
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// * complex<double> value-type.
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//
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inline std::ptrdiff_t tgsen( const fortran_int_t ijob,
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const fortran_bool_t wantq, const fortran_bool_t wantz,
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const fortran_bool_t* select, 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,
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std::complex<double>* alpha, std::complex<double>* beta,
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std::complex<double>* q, const fortran_int_t ldq,
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std::complex<double>* z, const fortran_int_t ldz, fortran_int_t& m,
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double& pl, double& pr, double* dif, std::complex<double>* work,
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const fortran_int_t lwork, fortran_int_t* iwork,
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const fortran_int_t liwork ) {
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fortran_int_t info(0);
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LAPACK_ZTGSEN( &ijob, &wantq, &wantz, select, &n, a, &lda, b, &ldb, alpha,
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beta, q, &ldq, z, &ldz, &m, &pl, &pr, dif, work, &lwork, iwork,
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&liwork, &info );
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return info;
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}
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} // namespace detail
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//
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// Value-type based template class. Use this class if you need a type
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// for dispatching to tgsen.
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//
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template< typename Value, typename Enable = void >
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struct tgsen_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 tgsen_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 VectorSELECT, typename MatrixA, typename MatrixB,
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typename VectorALPHAR, typename VectorALPHAI, typename VectorBETA,
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typename MatrixQ, typename MatrixZ, typename VectorDIF,
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typename WORK, typename IWORK >
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static std::ptrdiff_t invoke( const fortran_int_t ijob,
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const fortran_bool_t wantq, const fortran_bool_t wantz,
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const VectorSELECT& select, MatrixA& a, MatrixB& b,
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VectorALPHAR& alphar, VectorALPHAI& alphai, VectorBETA& beta,
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MatrixQ& q, MatrixZ& z, fortran_int_t& m, real_type& pl,
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real_type& pr, VectorDIF& dif, detail::workspace2< WORK,
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IWORK > 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< MatrixQ >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixZ >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< MatrixA >::type >::type,
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typename remove_const< typename bindings::value_type<
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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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MatrixQ >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< MatrixA >::type >::type,
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typename remove_const< typename bindings::value_type<
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MatrixZ >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (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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VectorDIF >::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< MatrixQ >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixZ >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorDIF >::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(select) >= bindings::size_column(a) );
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BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >=
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min_size_iwork( ijob, bindings::size_column(a), m ));
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BOOST_ASSERT( bindings::size(work.select(real_type())) >=
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min_size_work( ijob, bindings::size_column(a), m ));
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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(q) == 1 ||
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bindings::stride_minor(q) == 1 );
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BOOST_ASSERT( bindings::size_minor(z) == 1 ||
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bindings::stride_minor(z) == 1 );
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BOOST_ASSERT( bindings::stride_major(a) >= std::max< std::ptrdiff_t >(1,
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bindings::size_column(a)) );
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BOOST_ASSERT( bindings::stride_major(b) >= std::max< std::ptrdiff_t >(1,
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bindings::size_column(a)) );
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return detail::tgsen( ijob, wantq, wantz,
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bindings::begin_value(select), bindings::size_column(a),
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bindings::begin_value(a), bindings::stride_major(a),
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bindings::begin_value(b), bindings::stride_major(b),
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bindings::begin_value(alphar), bindings::begin_value(alphai),
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bindings::begin_value(beta), bindings::begin_value(q),
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bindings::stride_major(q), bindings::begin_value(z),
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bindings::stride_major(z), m, pl, pr,
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bindings::begin_value(dif),
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bindings::begin_value(work.select(real_type())),
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bindings::size(work.select(real_type())),
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bindings::begin_value(work.select(fortran_int_t())),
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bindings::size(work.select(fortran_int_t())) );
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}
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//
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// Static member function that
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// * Figures out the minimal workspace requirements, and passes
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// the results to the user-defined workspace overload of the
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// invoke static member function
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// * Enables the unblocked algorithm (BLAS level 2)
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//
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template< typename VectorSELECT, typename MatrixA, typename MatrixB,
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typename VectorALPHAR, typename VectorALPHAI, typename VectorBETA,
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typename MatrixQ, typename MatrixZ, typename VectorDIF >
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static std::ptrdiff_t invoke( const fortran_int_t ijob,
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const fortran_bool_t wantq, const fortran_bool_t wantz,
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const VectorSELECT& select, MatrixA& a, MatrixB& b,
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VectorALPHAR& alphar, VectorALPHAI& alphai, VectorBETA& beta,
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MatrixQ& q, MatrixZ& z, fortran_int_t& m, real_type& pl,
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real_type& pr, VectorDIF& dif, 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( ijob,
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bindings::size_column(a), m ) );
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bindings::detail::array< fortran_int_t > tmp_iwork(
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min_size_iwork( ijob, bindings::size_column(a), m ) );
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return invoke( ijob, wantq, wantz, select, a, b, alphar, alphai, beta,
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q, z, m, pl, pr, dif, workspace( tmp_work, tmp_iwork ) );
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}
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//
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// Static member function that
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// * Figures out the optimal workspace requirements, and passes
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// the results to the user-defined workspace overload of the
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// invoke static member
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// * Enables the blocked algorithm (BLAS level 3)
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//
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template< typename VectorSELECT, typename MatrixA, typename MatrixB,
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typename VectorALPHAR, typename VectorALPHAI, typename VectorBETA,
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typename MatrixQ, typename MatrixZ, typename VectorDIF >
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static std::ptrdiff_t invoke( const fortran_int_t ijob,
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const fortran_bool_t wantq, const fortran_bool_t wantz,
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const VectorSELECT& select, MatrixA& a, MatrixB& b,
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VectorALPHAR& alphar, VectorALPHAI& alphai, VectorBETA& beta,
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MatrixQ& q, MatrixZ& z, fortran_int_t& m, real_type& pl,
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real_type& pr, VectorDIF& dif, optimal_workspace ) {
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namespace bindings = ::boost::numeric::bindings;
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real_type opt_size_work;
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fortran_int_t opt_size_iwork;
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|
|
detail::tgsen( ijob, wantq, wantz, bindings::begin_value(select),
|
||
|
|
bindings::size_column(a), bindings::begin_value(a),
|
||
|
|
bindings::stride_major(a), bindings::begin_value(b),
|
||
|
|
bindings::stride_major(b), bindings::begin_value(alphar),
|
||
|
|
bindings::begin_value(alphai), bindings::begin_value(beta),
|
||
|
|
bindings::begin_value(q), bindings::stride_major(q),
|
||
|
|
bindings::begin_value(z), bindings::stride_major(z), m, pl,
|
||
|
|
pr, bindings::begin_value(dif), &opt_size_work, -1,
|
||
|
|
&opt_size_iwork, -1 );
|
||
|
|
bindings::detail::array< real_type > tmp_work(
|
||
|
|
traits::detail::to_int( opt_size_work ) );
|
||
|
|
bindings::detail::array< fortran_int_t > tmp_iwork(
|
||
|
|
opt_size_iwork );
|
||
|
|
return invoke( ijob, wantq, wantz, select, a, b, alphar, alphai, beta,
|
||
|
|
q, z, m, pl, pr, dif, workspace( tmp_work, tmp_iwork ) );
|
||
|
|
}
|
||
|
|
|
||
|
|
//
|
||
|
|
// Static member function that returns the minimum size of
|
||
|
|
// workspace-array work.
|
||
|
|
//
|
||
|
|
static std::ptrdiff_t min_size_work( const std::ptrdiff_t ijob,
|
||
|
|
const std::ptrdiff_t n, fortran_int_t& m ) {
|
||
|
|
if ( ijob == 1 || ijob == 2 || ijob == 4 )
|
||
|
|
return std::max< std::ptrdiff_t >(4*n+16, 2*m*(n-m));
|
||
|
|
else if ( ijob == 3 || ijob == 5 )
|
||
|
|
return std::max< std::ptrdiff_t >(4*n+16, 4*m*(n-m));
|
||
|
|
else // ijob == 0
|
||
|
|
return std::max< std::ptrdiff_t >(1, 4*n+16);
|
||
|
|
}
|
||
|
|
|
||
|
|
//
|
||
|
|
// Static member function that returns the minimum size of
|
||
|
|
// workspace-array iwork.
|
||
|
|
//
|
||
|
|
static std::ptrdiff_t min_size_iwork( const std::ptrdiff_t ijob,
|
||
|
|
const std::ptrdiff_t n, fortran_int_t& m ) {
|
||
|
|
if ( ijob == 1 || ijob == 2 || ijob == 4 )
|
||
|
|
return std::max< std::ptrdiff_t >(1, n+6);
|
||
|
|
else if ( ijob == 3 || ijob == 5 )
|
||
|
|
return std::max< std::ptrdiff_t >(2*m*(n-m), n+6);
|
||
|
|
else // ijob == 0
|
||
|
|
return 1;
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
//
|
||
|
|
// This implementation is enabled if Value is a complex type.
|
||
|
|
//
|
||
|
|
template< typename Value >
|
||
|
|
struct tgsen_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 VectorSELECT, typename MatrixA, typename MatrixB,
|
||
|
|
typename VectorALPHA, typename VectorBETA, typename MatrixQ,
|
||
|
|
typename MatrixZ, typename VectorDIF, typename WORK,
|
||
|
|
typename IWORK >
|
||
|
|
static std::ptrdiff_t invoke( const fortran_int_t ijob,
|
||
|
|
const fortran_bool_t wantq, const fortran_bool_t wantz,
|
||
|
|
const VectorSELECT& select, MatrixA& a, MatrixB& b,
|
||
|
|
VectorALPHA& alpha, VectorBETA& beta, MatrixQ& q, MatrixZ& z,
|
||
|
|
fortran_int_t& m, real_type& pl, real_type& pr,
|
||
|
|
VectorDIF& dif, detail::workspace2< WORK, IWORK > 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< MatrixQ >::value) );
|
||
|
|
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixZ >::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<
|
||
|
|
MatrixQ >::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<
|
||
|
|
MatrixZ >::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< MatrixQ >::value) );
|
||
|
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixZ >::value) );
|
||
|
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorDIF >::value) );
|
||
|
|
BOOST_ASSERT( bindings::size(alpha) >= bindings::size_column(a) );
|
||
|
|
BOOST_ASSERT( bindings::size(select) >= bindings::size_column(a) );
|
||
|
|
BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >=
|
||
|
|
min_size_iwork( ijob, bindings::size_column(a), m ));
|
||
|
|
BOOST_ASSERT( bindings::size(work.select(value_type())) >=
|
||
|
|
min_size_work( ijob, bindings::size_column(a), m ));
|
||
|
|
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(q) == 1 ||
|
||
|
|
bindings::stride_minor(q) == 1 );
|
||
|
|
BOOST_ASSERT( bindings::size_minor(z) == 1 ||
|
||
|
|
bindings::stride_minor(z) == 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)) );
|
||
|
|
return detail::tgsen( ijob, wantq, wantz,
|
||
|
|
bindings::begin_value(select), bindings::size_column(a),
|
||
|
|
bindings::begin_value(a), bindings::stride_major(a),
|
||
|
|
bindings::begin_value(b), bindings::stride_major(b),
|
||
|
|
bindings::begin_value(alpha), bindings::begin_value(beta),
|
||
|
|
bindings::begin_value(q), bindings::stride_major(q),
|
||
|
|
bindings::begin_value(z), bindings::stride_major(z), m, pl,
|
||
|
|
pr, bindings::begin_value(dif),
|
||
|
|
bindings::begin_value(work.select(value_type())),
|
||
|
|
bindings::size(work.select(value_type())),
|
||
|
|
bindings::begin_value(work.select(fortran_int_t())),
|
||
|
|
bindings::size(work.select(fortran_int_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 VectorSELECT, typename MatrixA, typename MatrixB,
|
||
|
|
typename VectorALPHA, typename VectorBETA, typename MatrixQ,
|
||
|
|
typename MatrixZ, typename VectorDIF >
|
||
|
|
static std::ptrdiff_t invoke( const fortran_int_t ijob,
|
||
|
|
const fortran_bool_t wantq, const fortran_bool_t wantz,
|
||
|
|
const VectorSELECT& select, MatrixA& a, MatrixB& b,
|
||
|
|
VectorALPHA& alpha, VectorBETA& beta, MatrixQ& q, MatrixZ& z,
|
||
|
|
fortran_int_t& m, real_type& pl, real_type& pr,
|
||
|
|
VectorDIF& dif, minimal_workspace ) {
|
||
|
|
namespace bindings = ::boost::numeric::bindings;
|
||
|
|
bindings::detail::array< value_type > tmp_work( min_size_work( ijob,
|
||
|
|
bindings::size_column(a), m ) );
|
||
|
|
bindings::detail::array< fortran_int_t > tmp_iwork(
|
||
|
|
min_size_iwork( ijob, bindings::size_column(a), m ) );
|
||
|
|
return invoke( ijob, wantq, wantz, select, a, b, alpha, beta, q, z, m,
|
||
|
|
pl, pr, dif, workspace( tmp_work, tmp_iwork ) );
|
||
|
|
}
|
||
|
|
|
||
|
|
//
|
||
|
|
// 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 VectorSELECT, typename MatrixA, typename MatrixB,
|
||
|
|
typename VectorALPHA, typename VectorBETA, typename MatrixQ,
|
||
|
|
typename MatrixZ, typename VectorDIF >
|
||
|
|
static std::ptrdiff_t invoke( const fortran_int_t ijob,
|
||
|
|
const fortran_bool_t wantq, const fortran_bool_t wantz,
|
||
|
|
const VectorSELECT& select, MatrixA& a, MatrixB& b,
|
||
|
|
VectorALPHA& alpha, VectorBETA& beta, MatrixQ& q, MatrixZ& z,
|
||
|
|
fortran_int_t& m, real_type& pl, real_type& pr,
|
||
|
|
VectorDIF& dif, optimal_workspace ) {
|
||
|
|
namespace bindings = ::boost::numeric::bindings;
|
||
|
|
value_type opt_size_work;
|
||
|
|
fortran_int_t opt_size_iwork;
|
||
|
|
detail::tgsen( ijob, wantq, wantz, bindings::begin_value(select),
|
||
|
|
bindings::size_column(a), bindings::begin_value(a),
|
||
|
|
bindings::stride_major(a), bindings::begin_value(b),
|
||
|
|
bindings::stride_major(b), bindings::begin_value(alpha),
|
||
|
|
bindings::begin_value(beta), bindings::begin_value(q),
|
||
|
|
bindings::stride_major(q), bindings::begin_value(z),
|
||
|
|
bindings::stride_major(z), m, pl, pr,
|
||
|
|
bindings::begin_value(dif), &opt_size_work, -1,
|
||
|
|
&opt_size_iwork, -1 );
|
||
|
|
bindings::detail::array< value_type > tmp_work(
|
||
|
|
traits::detail::to_int( opt_size_work ) );
|
||
|
|
bindings::detail::array< fortran_int_t > tmp_iwork(
|
||
|
|
opt_size_iwork );
|
||
|
|
return invoke( ijob, wantq, wantz, select, a, b, alpha, beta, q, z, m,
|
||
|
|
pl, pr, dif, workspace( tmp_work, tmp_iwork ) );
|
||
|
|
}
|
||
|
|
|
||
|
|
//
|
||
|
|
// Static member function that returns the minimum size of
|
||
|
|
// workspace-array work.
|
||
|
|
//
|
||
|
|
static std::ptrdiff_t min_size_work( const std::ptrdiff_t ijob,
|
||
|
|
const std::ptrdiff_t n, fortran_int_t& m ) {
|
||
|
|
if ( ijob == 1 || ijob == 2 || ijob == 4 )
|
||
|
|
return std::max< std::ptrdiff_t >(1, 2*m*(n-m));
|
||
|
|
else if ( ijob == 3 || ijob == 5 )
|
||
|
|
return std::max< std::ptrdiff_t >(1, 4*m*(n-m));
|
||
|
|
else // ijob == 0
|
||
|
|
return 1;
|
||
|
|
}
|
||
|
|
|
||
|
|
//
|
||
|
|
// Static member function that returns the minimum size of
|
||
|
|
// workspace-array iwork.
|
||
|
|
//
|
||
|
|
static std::ptrdiff_t min_size_iwork( const std::ptrdiff_t ijob,
|
||
|
|
const std::ptrdiff_t n, fortran_int_t& m ) {
|
||
|
|
if ( ijob == 1 || ijob == 2 || ijob == 4 )
|
||
|
|
return std::max< std::ptrdiff_t >(1, n+2);
|
||
|
|
else if ( ijob == 3 || ijob == 5 )
|
||
|
|
return std::max< std::ptrdiff_t >(2*m*(n-m), n+2);
|
||
|
|
else // ijob == 0
|
||
|
|
return 1;
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
|
||
|
|
//
|
||
|
|
// 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 tgsen_impl classes. In the
|
||
|
|
// documentation, most overloads are collapsed to avoid a large number of
|
||
|
|
// prototypes which are very similar.
|
||
|
|
//
|
||
|
|
|
||
|
|
//
|
||
|
|
// Overloaded function for tgsen. Its overload differs for
|
||
|
|
// * User-defined workspace
|
||
|
|
//
|
||
|
|
template< typename VectorSELECT, typename MatrixA, typename MatrixB,
|
||
|
|
typename VectorALPHAR, typename VectorALPHAI, typename VectorBETA,
|
||
|
|
typename MatrixQ, typename MatrixZ, typename VectorDIF,
|
||
|
|
typename Workspace >
|
||
|
|
inline typename boost::enable_if< detail::is_workspace< Workspace >,
|
||
|
|
std::ptrdiff_t >::type
|
||
|
|
tgsen( const fortran_int_t ijob, const fortran_bool_t wantq,
|
||
|
|
const fortran_bool_t wantz, const VectorSELECT& select, MatrixA& a,
|
||
|
|
MatrixB& b, VectorALPHAR& alphar, VectorALPHAI& alphai,
|
||
|
|
VectorBETA& beta, MatrixQ& q, MatrixZ& z, fortran_int_t& m,
|
||
|
|
typename remove_imaginary< typename bindings::value_type<
|
||
|
|
MatrixA >::type >::type& pl, typename remove_imaginary<
|
||
|
|
typename bindings::value_type< MatrixA >::type >::type& pr,
|
||
|
|
VectorDIF& dif, Workspace work ) {
|
||
|
|
return tgsen_impl< typename bindings::value_type<
|
||
|
|
MatrixA >::type >::invoke( ijob, wantq, wantz, select, a, b,
|
||
|
|
alphar, alphai, beta, q, z, m, pl, pr, dif, work );
|
||
|
|
}
|
||
|
|
|
||
|
|
//
|
||
|
|
// Overloaded function for tgsen. Its overload differs for
|
||
|
|
// * Default workspace-type (optimal)
|
||
|
|
//
|
||
|
|
template< typename VectorSELECT, typename MatrixA, typename MatrixB,
|
||
|
|
typename VectorALPHAR, typename VectorALPHAI, typename VectorBETA,
|
||
|
|
typename MatrixQ, typename MatrixZ, typename VectorDIF >
|
||
|
|
inline typename boost::disable_if< detail::is_workspace< VectorDIF >,
|
||
|
|
std::ptrdiff_t >::type
|
||
|
|
tgsen( const fortran_int_t ijob, const fortran_bool_t wantq,
|
||
|
|
const fortran_bool_t wantz, const VectorSELECT& select, MatrixA& a,
|
||
|
|
MatrixB& b, VectorALPHAR& alphar, VectorALPHAI& alphai,
|
||
|
|
VectorBETA& beta, MatrixQ& q, MatrixZ& z, fortran_int_t& m,
|
||
|
|
typename remove_imaginary< typename bindings::value_type<
|
||
|
|
MatrixA >::type >::type& pl, typename remove_imaginary<
|
||
|
|
typename bindings::value_type< MatrixA >::type >::type& pr,
|
||
|
|
VectorDIF& dif ) {
|
||
|
|
return tgsen_impl< typename bindings::value_type<
|
||
|
|
MatrixA >::type >::invoke( ijob, wantq, wantz, select, a, b,
|
||
|
|
alphar, alphai, beta, q, z, m, pl, pr, dif, optimal_workspace() );
|
||
|
|
}
|
||
|
|
|
||
|
|
//
|
||
|
|
// Overloaded function for tgsen. Its overload differs for
|
||
|
|
// * User-defined workspace
|
||
|
|
//
|
||
|
|
template< typename VectorSELECT, typename MatrixA, typename MatrixB,
|
||
|
|
typename VectorALPHA, typename VectorBETA, typename MatrixQ,
|
||
|
|
typename MatrixZ, typename VectorDIF, typename Workspace >
|
||
|
|
inline typename boost::enable_if< detail::is_workspace< Workspace >,
|
||
|
|
std::ptrdiff_t >::type
|
||
|
|
tgsen( const fortran_int_t ijob, const fortran_bool_t wantq,
|
||
|
|
const fortran_bool_t wantz, const VectorSELECT& select, MatrixA& a,
|
||
|
|
MatrixB& b, VectorALPHA& alpha, VectorBETA& beta, MatrixQ& q,
|
||
|
|
MatrixZ& z, fortran_int_t& m, typename remove_imaginary<
|
||
|
|
typename bindings::value_type< MatrixA >::type >::type& pl,
|
||
|
|
typename remove_imaginary< typename bindings::value_type<
|
||
|
|
MatrixA >::type >::type& pr, VectorDIF& dif, Workspace work ) {
|
||
|
|
return tgsen_impl< typename bindings::value_type<
|
||
|
|
MatrixA >::type >::invoke( ijob, wantq, wantz, select, a, b,
|
||
|
|
alpha, beta, q, z, m, pl, pr, dif, work );
|
||
|
|
}
|
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//
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// Overloaded function for tgsen. Its overload differs for
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// * Default workspace-type (optimal)
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//
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template< typename VectorSELECT, typename MatrixA, typename MatrixB,
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typename VectorALPHA, typename VectorBETA, typename MatrixQ,
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typename MatrixZ, typename VectorDIF >
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inline typename boost::disable_if< detail::is_workspace< VectorDIF >,
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|
std::ptrdiff_t >::type
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tgsen( const fortran_int_t ijob, const fortran_bool_t wantq,
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const fortran_bool_t wantz, const VectorSELECT& select, MatrixA& a,
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|
MatrixB& b, VectorALPHA& alpha, VectorBETA& beta, MatrixQ& q,
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||
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|
MatrixZ& z, fortran_int_t& m, typename remove_imaginary<
|
||
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|
typename bindings::value_type< MatrixA >::type >::type& pl,
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||
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|
typename remove_imaginary< typename bindings::value_type<
|
||
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|
MatrixA >::type >::type& pr, VectorDIF& dif ) {
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||
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|
return tgsen_impl< typename bindings::value_type<
|
||
|
|
MatrixA >::type >::invoke( ijob, wantq, wantz, select, a, b,
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||
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|
alpha, beta, q, z, m, pl, pr, dif, optimal_workspace() );
|
||
|
|
}
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||
|
|
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||
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|
} // namespace lapack
|
||
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|
} // namespace bindings
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||
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|
} // namespace numeric
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||
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|
} // namespace boost
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||
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|
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||
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|
#endif
|