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457 lines
20 KiB
457 lines
20 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_GBBRD_HPP
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#define BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_GBBRD_HPP
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#include <boost/assert.hpp>
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#include <boost/numeric/bindings/bandwidth.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/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 gbbrd 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 gbbrd( const char vect, const fortran_int_t m,
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const fortran_int_t n, const fortran_int_t ncc,
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const fortran_int_t kl, const fortran_int_t ku, float* ab,
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const fortran_int_t ldab, float* d, float* e, float* q,
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const fortran_int_t ldq, float* pt, const fortran_int_t ldpt,
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float* c, const fortran_int_t ldc, float* work ) {
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fortran_int_t info(0);
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LAPACK_SGBBRD( &vect, &m, &n, &ncc, &kl, &ku, ab, &ldab, d, e, q, &ldq,
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pt, &ldpt, c, &ldc, work, &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 gbbrd( const char vect, const fortran_int_t m,
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const fortran_int_t n, const fortran_int_t ncc,
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const fortran_int_t kl, const fortran_int_t ku, double* ab,
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const fortran_int_t ldab, double* d, double* e, double* q,
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const fortran_int_t ldq, double* pt, const fortran_int_t ldpt,
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double* c, const fortran_int_t ldc, double* work ) {
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fortran_int_t info(0);
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LAPACK_DGBBRD( &vect, &m, &n, &ncc, &kl, &ku, ab, &ldab, d, e, q, &ldq,
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pt, &ldpt, c, &ldc, work, &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 gbbrd( const char vect, const fortran_int_t m,
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const fortran_int_t n, const fortran_int_t ncc,
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const fortran_int_t kl, const fortran_int_t ku,
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std::complex<float>* ab, const fortran_int_t ldab, float* d, float* e,
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std::complex<float>* q, const fortran_int_t ldq,
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std::complex<float>* pt, const fortran_int_t ldpt,
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std::complex<float>* c, const fortran_int_t ldc,
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std::complex<float>* work, float* rwork ) {
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fortran_int_t info(0);
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LAPACK_CGBBRD( &vect, &m, &n, &ncc, &kl, &ku, ab, &ldab, d, e, q, &ldq,
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pt, &ldpt, c, &ldc, work, rwork, &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 gbbrd( const char vect, const fortran_int_t m,
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const fortran_int_t n, const fortran_int_t ncc,
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const fortran_int_t kl, const fortran_int_t ku,
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std::complex<double>* ab, const fortran_int_t ldab, double* d,
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double* e, std::complex<double>* q, const fortran_int_t ldq,
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std::complex<double>* pt, const fortran_int_t ldpt,
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std::complex<double>* c, const fortran_int_t ldc,
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std::complex<double>* work, double* rwork ) {
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fortran_int_t info(0);
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LAPACK_ZGBBRD( &vect, &m, &n, &ncc, &kl, &ku, ab, &ldab, d, e, q, &ldq,
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pt, &ldpt, c, &ldc, work, rwork, &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 gbbrd.
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//
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template< typename Value, typename Enable = void >
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struct gbbrd_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 gbbrd_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 MatrixAB, typename VectorD, typename VectorE,
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typename MatrixQ, typename MatrixPT, typename MatrixC,
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typename WORK >
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static std::ptrdiff_t invoke( const char vect, MatrixAB& ab, VectorD& d,
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VectorE& e, MatrixQ& q, MatrixPT& pt, MatrixC& c,
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detail::workspace1< WORK > work ) {
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namespace bindings = ::boost::numeric::bindings;
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixAB >::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< MatrixPT >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixC >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< MatrixAB >::type >::type,
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typename remove_const< typename bindings::value_type<
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VectorD >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< MatrixAB >::type >::type,
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typename remove_const< typename bindings::value_type<
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VectorE >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< MatrixAB >::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< MatrixAB >::type >::type,
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typename remove_const< typename bindings::value_type<
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MatrixPT >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< MatrixAB >::type >::type,
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typename remove_const< typename bindings::value_type<
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MatrixC >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixAB >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorD >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorE >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixQ >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixPT >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixC >::value) );
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BOOST_ASSERT( bindings::bandwidth_lower(ab) >= 0 );
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BOOST_ASSERT( bindings::bandwidth_upper(ab) >= 0 );
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BOOST_ASSERT( bindings::size(d) >= std::min<
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std::ptrdiff_t >(bindings::size_row(ab),
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bindings::size_column(ab)) );
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BOOST_ASSERT( bindings::size(e) >= std::min<
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std::ptrdiff_t >(bindings::size_row(ab),
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bindings::size_column(ab))-1 );
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BOOST_ASSERT( bindings::size(work.select(real_type())) >=
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min_size_work( bindings::size_row(ab),
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bindings::size_column(ab) ));
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BOOST_ASSERT( bindings::size_column(ab) >= 0 );
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BOOST_ASSERT( bindings::size_column(c) >= 0 );
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BOOST_ASSERT( bindings::size_minor(ab) == 1 ||
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bindings::stride_minor(ab) == 1 );
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BOOST_ASSERT( bindings::size_minor(c) == 1 ||
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bindings::stride_minor(c) == 1 );
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BOOST_ASSERT( bindings::size_minor(pt) == 1 ||
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bindings::stride_minor(pt) == 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_row(ab) >= 0 );
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BOOST_ASSERT( bindings::stride_major(ab) >=
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bindings::bandwidth_lower(ab)+bindings::bandwidth_upper(ab)+
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1 );
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BOOST_ASSERT( vect == 'N' || vect == 'Q' || vect == 'P' ||
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vect == 'B' );
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return detail::gbbrd( vect, bindings::size_row(ab),
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bindings::size_column(ab), bindings::size_column(c),
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bindings::bandwidth_lower(ab), bindings::bandwidth_upper(ab),
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bindings::begin_value(ab), bindings::stride_major(ab),
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bindings::begin_value(d), bindings::begin_value(e),
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bindings::begin_value(q), bindings::stride_major(q),
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bindings::begin_value(pt), bindings::stride_major(pt),
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bindings::begin_value(c), bindings::stride_major(c),
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bindings::begin_value(work.select(real_type())) );
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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 MatrixAB, typename VectorD, typename VectorE,
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typename MatrixQ, typename MatrixPT, typename MatrixC >
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static std::ptrdiff_t invoke( const char vect, MatrixAB& ab, VectorD& d,
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VectorE& e, MatrixQ& q, MatrixPT& pt, MatrixC& c,
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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_row(ab), bindings::size_column(ab) ) );
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return invoke( vect, ab, d, e, q, pt, c, workspace( tmp_work ) );
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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 MatrixAB, typename VectorD, typename VectorE,
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typename MatrixQ, typename MatrixPT, typename MatrixC >
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static std::ptrdiff_t invoke( const char vect, MatrixAB& ab, VectorD& d,
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VectorE& e, MatrixQ& q, MatrixPT& pt, MatrixC& c,
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optimal_workspace ) {
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namespace bindings = ::boost::numeric::bindings;
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return invoke( vect, ab, d, e, q, pt, c, minimal_workspace() );
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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 m,
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const std::ptrdiff_t n ) {
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return 2*std::max< std::ptrdiff_t >(m,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 gbbrd_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 MatrixAB, typename VectorD, typename VectorE,
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typename MatrixQ, typename MatrixPT, typename MatrixC,
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typename WORK, typename RWORK >
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static std::ptrdiff_t invoke( const char vect, MatrixAB& ab, VectorD& d,
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VectorE& e, MatrixQ& q, MatrixPT& pt, MatrixC& c,
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detail::workspace2< WORK, RWORK > work ) {
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namespace bindings = ::boost::numeric::bindings;
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixAB >::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< MatrixPT >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixC >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< VectorD >::type >::type,
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typename remove_const< typename bindings::value_type<
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VectorE >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< MatrixAB >::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< MatrixAB >::type >::type,
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typename remove_const< typename bindings::value_type<
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MatrixPT >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< MatrixAB >::type >::type,
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typename remove_const< typename bindings::value_type<
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MatrixC >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixAB >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorD >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorE >::value) );
|
||
|
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixQ >::value) );
|
||
|
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixPT >::value) );
|
||
|
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixC >::value) );
|
||
|
|
BOOST_ASSERT( bindings::bandwidth_lower(ab) >= 0 );
|
||
|
|
BOOST_ASSERT( bindings::bandwidth_upper(ab) >= 0 );
|
||
|
|
BOOST_ASSERT( bindings::size(d) >= std::min<
|
||
|
|
std::ptrdiff_t >(bindings::size_row(ab),
|
||
|
|
bindings::size_column(ab)) );
|
||
|
|
BOOST_ASSERT( bindings::size(e) >= std::min<
|
||
|
|
std::ptrdiff_t >(bindings::size_row(ab),
|
||
|
|
bindings::size_column(ab))-1 );
|
||
|
|
BOOST_ASSERT( bindings::size(work.select(real_type())) >=
|
||
|
|
min_size_rwork( bindings::size_row(ab),
|
||
|
|
bindings::size_column(ab) ));
|
||
|
|
BOOST_ASSERT( bindings::size(work.select(value_type())) >=
|
||
|
|
min_size_work( bindings::size_row(ab),
|
||
|
|
bindings::size_column(ab) ));
|
||
|
|
BOOST_ASSERT( bindings::size_column(ab) >= 0 );
|
||
|
|
BOOST_ASSERT( bindings::size_column(c) >= 0 );
|
||
|
|
BOOST_ASSERT( bindings::size_minor(ab) == 1 ||
|
||
|
|
bindings::stride_minor(ab) == 1 );
|
||
|
|
BOOST_ASSERT( bindings::size_minor(c) == 1 ||
|
||
|
|
bindings::stride_minor(c) == 1 );
|
||
|
|
BOOST_ASSERT( bindings::size_minor(pt) == 1 ||
|
||
|
|
bindings::stride_minor(pt) == 1 );
|
||
|
|
BOOST_ASSERT( bindings::size_minor(q) == 1 ||
|
||
|
|
bindings::stride_minor(q) == 1 );
|
||
|
|
BOOST_ASSERT( bindings::size_row(ab) >= 0 );
|
||
|
|
BOOST_ASSERT( bindings::stride_major(ab) >=
|
||
|
|
bindings::bandwidth_lower(ab)+bindings::bandwidth_upper(ab)+
|
||
|
|
1 );
|
||
|
|
BOOST_ASSERT( vect == 'N' || vect == 'Q' || vect == 'P' ||
|
||
|
|
vect == 'B' );
|
||
|
|
return detail::gbbrd( vect, bindings::size_row(ab),
|
||
|
|
bindings::size_column(ab), bindings::size_column(c),
|
||
|
|
bindings::bandwidth_lower(ab), bindings::bandwidth_upper(ab),
|
||
|
|
bindings::begin_value(ab), bindings::stride_major(ab),
|
||
|
|
bindings::begin_value(d), bindings::begin_value(e),
|
||
|
|
bindings::begin_value(q), bindings::stride_major(q),
|
||
|
|
bindings::begin_value(pt), bindings::stride_major(pt),
|
||
|
|
bindings::begin_value(c), bindings::stride_major(c),
|
||
|
|
bindings::begin_value(work.select(value_type())),
|
||
|
|
bindings::begin_value(work.select(real_type())) );
|
||
|
|
}
|
||
|
|
|
||
|
|
//
|
||
|
|
// 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 MatrixAB, typename VectorD, typename VectorE,
|
||
|
|
typename MatrixQ, typename MatrixPT, typename MatrixC >
|
||
|
|
static std::ptrdiff_t invoke( const char vect, MatrixAB& ab, VectorD& d,
|
||
|
|
VectorE& e, MatrixQ& q, MatrixPT& pt, MatrixC& c,
|
||
|
|
minimal_workspace ) {
|
||
|
|
namespace bindings = ::boost::numeric::bindings;
|
||
|
|
bindings::detail::array< value_type > tmp_work( min_size_work(
|
||
|
|
bindings::size_row(ab), bindings::size_column(ab) ) );
|
||
|
|
bindings::detail::array< real_type > tmp_rwork( min_size_rwork(
|
||
|
|
bindings::size_row(ab), bindings::size_column(ab) ) );
|
||
|
|
return invoke( vect, ab, d, e, q, pt, c, workspace( tmp_work,
|
||
|
|
tmp_rwork ) );
|
||
|
|
}
|
||
|
|
|
||
|
|
//
|
||
|
|
// 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 MatrixAB, typename VectorD, typename VectorE,
|
||
|
|
typename MatrixQ, typename MatrixPT, typename MatrixC >
|
||
|
|
static std::ptrdiff_t invoke( const char vect, MatrixAB& ab, VectorD& d,
|
||
|
|
VectorE& e, MatrixQ& q, MatrixPT& pt, MatrixC& c,
|
||
|
|
optimal_workspace ) {
|
||
|
|
namespace bindings = ::boost::numeric::bindings;
|
||
|
|
return invoke( vect, ab, d, e, q, pt, c, minimal_workspace() );
|
||
|
|
}
|
||
|
|
|
||
|
|
//
|
||
|
|
// Static member function that returns the minimum size of
|
||
|
|
// workspace-array work.
|
||
|
|
//
|
||
|
|
static std::ptrdiff_t min_size_work( const std::ptrdiff_t m,
|
||
|
|
const std::ptrdiff_t n ) {
|
||
|
|
return std::max< std::ptrdiff_t >(m,n);
|
||
|
|
}
|
||
|
|
|
||
|
|
//
|
||
|
|
// Static member function that returns the minimum size of
|
||
|
|
// workspace-array rwork.
|
||
|
|
//
|
||
|
|
static std::ptrdiff_t min_size_rwork( const std::ptrdiff_t m,
|
||
|
|
const std::ptrdiff_t n ) {
|
||
|
|
return std::max< std::ptrdiff_t >(m,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 gbbrd_impl classes. In the
|
||
|
|
// documentation, most overloads are collapsed to avoid a large number of
|
||
|
|
// prototypes which are very similar.
|
||
|
|
//
|
||
|
|
|
||
|
|
//
|
||
|
|
// Overloaded function for gbbrd. Its overload differs for
|
||
|
|
// * User-defined workspace
|
||
|
|
//
|
||
|
|
template< typename MatrixAB, typename VectorD, typename VectorE,
|
||
|
|
typename MatrixQ, typename MatrixPT, typename MatrixC,
|
||
|
|
typename Workspace >
|
||
|
|
inline typename boost::enable_if< detail::is_workspace< Workspace >,
|
||
|
|
std::ptrdiff_t >::type
|
||
|
|
gbbrd( const char vect, MatrixAB& ab, VectorD& d, VectorE& e, MatrixQ& q,
|
||
|
|
MatrixPT& pt, MatrixC& c, Workspace work ) {
|
||
|
|
return gbbrd_impl< typename bindings::value_type<
|
||
|
|
MatrixAB >::type >::invoke( vect, ab, d, e, q, pt, c, work );
|
||
|
|
}
|
||
|
|
|
||
|
|
//
|
||
|
|
// Overloaded function for gbbrd. Its overload differs for
|
||
|
|
// * Default workspace-type (optimal)
|
||
|
|
//
|
||
|
|
template< typename MatrixAB, typename VectorD, typename VectorE,
|
||
|
|
typename MatrixQ, typename MatrixPT, typename MatrixC >
|
||
|
|
inline typename boost::disable_if< detail::is_workspace< MatrixC >,
|
||
|
|
std::ptrdiff_t >::type
|
||
|
|
gbbrd( const char vect, MatrixAB& ab, VectorD& d, VectorE& e, MatrixQ& q,
|
||
|
|
MatrixPT& pt, MatrixC& c ) {
|
||
|
|
return gbbrd_impl< typename bindings::value_type<
|
||
|
|
MatrixAB >::type >::invoke( vect, ab, d, e, q, pt, c,
|
||
|
|
optimal_workspace() );
|
||
|
|
}
|
||
|
|
|
||
|
|
} // namespace lapack
|
||
|
|
} // namespace bindings
|
||
|
|
} // namespace numeric
|
||
|
|
} // namespace boost
|
||
|
|
|
||
|
|
#endif
|