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gehrd.hpp
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gehrd.hpp
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//
// Copyright (c) 2002--2010
// Toon Knapen, Karl Meerbergen, Kresimir Fresl,
// Thomas Klimpel and Rutger ter Borg
//
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
//
// THIS FILE IS AUTOMATICALLY GENERATED
// PLEASE DO NOT EDIT!
//
#ifndef BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_GEHRD_HPP
#define BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_GEHRD_HPP
#include <boost/assert.hpp>
#include <Core/Utils/numeric/bindings/begin.hpp>
#include <Core/Utils/numeric/bindings/detail/array.hpp>
#include <Core/Utils/numeric/bindings/is_column_major.hpp>
#include <Core/Utils/numeric/bindings/is_complex.hpp>
#include <Core/Utils/numeric/bindings/is_mutable.hpp>
#include <Core/Utils/numeric/bindings/is_real.hpp>
#include <Core/Utils/numeric/bindings/lapack/workspace.hpp>
#include <Core/Utils/numeric/bindings/remove_imaginary.hpp>
#include <Core/Utils/numeric/bindings/size.hpp>
#include <Core/Utils/numeric/bindings/stride.hpp>
#include <Core/Utils/numeric/bindings/traits/detail/utils.hpp>
#include <Core/Utils/numeric/bindings/value_type.hpp>
#include <boost/static_assert.hpp>
#include <boost/type_traits/is_same.hpp>
#include <boost/type_traits/remove_const.hpp>
#include <boost/utility/enable_if.hpp>
//
// The LAPACK-backend for gehrd is the netlib-compatible backend.
//
#include <Core/Utils/numeric/bindings/lapack/detail/lapack.h>
#include <Core/Utils/numeric/bindings/lapack/detail/lapack_option.hpp>
namespace boost {
namespace numeric {
namespace bindings {
namespace lapack {
//
// The detail namespace contains value-type-overloaded functions that
// dispatch to the appropriate back-end LAPACK-routine.
//
namespace detail {
//
// Overloaded function for dispatching to
// * netlib-compatible LAPACK backend (the default), and
// * float value-type.
//
inline std::ptrdiff_t gehrd( const fortran_int_t n, const fortran_int_t ilo,
const fortran_int_t ihi, float* a, const fortran_int_t lda,
float* tau, float* work, const fortran_int_t lwork ) {
fortran_int_t info(0);
LAPACK_SGEHRD( &n, &ilo, &ihi, a, &lda, tau, work, &lwork, &info );
return info;
}
//
// Overloaded function for dispatching to
// * netlib-compatible LAPACK backend (the default), and
// * double value-type.
//
inline std::ptrdiff_t gehrd( const fortran_int_t n, const fortran_int_t ilo,
const fortran_int_t ihi, double* a, const fortran_int_t lda,
double* tau, double* work, const fortran_int_t lwork ) {
fortran_int_t info(0);
LAPACK_DGEHRD( &n, &ilo, &ihi, a, &lda, tau, work, &lwork, &info );
return info;
}
//
// Overloaded function for dispatching to
// * netlib-compatible LAPACK backend (the default), and
// * complex<float> value-type.
//
inline std::ptrdiff_t gehrd( const fortran_int_t n, const fortran_int_t ilo,
const fortran_int_t ihi, std::complex<float>* a,
const fortran_int_t lda, std::complex<float>* tau,
std::complex<float>* work, const fortran_int_t lwork ) {
fortran_int_t info(0);
LAPACK_CGEHRD( &n, &ilo, &ihi, a, &lda, tau, work, &lwork, &info );
return info;
}
//
// Overloaded function for dispatching to
// * netlib-compatible LAPACK backend (the default), and
// * complex<double> value-type.
//
inline std::ptrdiff_t gehrd( const fortran_int_t n, const fortran_int_t ilo,
const fortran_int_t ihi, std::complex<double>* a,
const fortran_int_t lda, std::complex<double>* tau,
std::complex<double>* work, const fortran_int_t lwork ) {
fortran_int_t info(0);
LAPACK_ZGEHRD( &n, &ilo, &ihi, a, &lda, tau, work, &lwork, &info );
return info;
}
} // namespace detail
//
// Value-type based template class. Use this class if you need a type
// for dispatching to gehrd.
//
template< typename Value, typename Enable = void >
struct gehrd_impl {};
//
// This implementation is enabled if Value is a real type.
//
template< typename Value >
struct gehrd_impl< Value, typename boost::enable_if< is_real< 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 VectorTAU, typename WORK >
static std::ptrdiff_t invoke( const fortran_int_t ilo,
const fortran_int_t ihi, MatrixA& a, VectorTAU& tau,
detail::workspace1< WORK > work ) {
namespace bindings = ::boost::numeric::bindings;
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixA >::value) );
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
typename bindings::value_type< MatrixA >::type >::type,
typename remove_const< typename bindings::value_type<
VectorTAU >::type >::type >::value) );
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixA >::value) );
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorTAU >::value) );
BOOST_ASSERT( bindings::size(tau) >= bindings::size_column(a)-1 );
BOOST_ASSERT( bindings::size(work.select(real_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::stride_major(a) >= std::max< std::ptrdiff_t >(1,
bindings::size_column(a)) );
return detail::gehrd( bindings::size_column(a), ilo, ihi,
bindings::begin_value(a), bindings::stride_major(a),
bindings::begin_value(tau),
bindings::begin_value(work.select(real_type())),
bindings::size(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 MatrixA, typename VectorTAU >
static std::ptrdiff_t invoke( const fortran_int_t ilo,
const fortran_int_t ihi, MatrixA& a, VectorTAU& tau,
minimal_workspace ) {
namespace bindings = ::boost::numeric::bindings;
bindings::detail::array< real_type > tmp_work( min_size_work(
bindings::size_column(a) ) );
return invoke( ilo, ihi, a, tau, workspace( tmp_work ) );
}
//
// 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 VectorTAU >
static std::ptrdiff_t invoke( const fortran_int_t ilo,
const fortran_int_t ihi, MatrixA& a, VectorTAU& tau,
optimal_workspace ) {
namespace bindings = ::boost::numeric::bindings;
real_type opt_size_work;
detail::gehrd( bindings::size_column(a), ilo, ihi,
bindings::begin_value(a), bindings::stride_major(a),
bindings::begin_value(tau), &opt_size_work, -1 );
bindings::detail::array< real_type > tmp_work(
traits::detail::to_int( opt_size_work ) );
return invoke( ilo, ihi, a, tau, workspace( tmp_work ) );
}
//
// 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,n);
}
};
//
// This implementation is enabled if Value is a complex type.
//
template< typename Value >
struct gehrd_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 VectorTAU, typename WORK >
static std::ptrdiff_t invoke( const fortran_int_t ilo,
const fortran_int_t ihi, MatrixA& a, VectorTAU& tau,
detail::workspace1< WORK > work ) {
namespace bindings = ::boost::numeric::bindings;
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixA >::value) );
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
typename bindings::value_type< MatrixA >::type >::type,
typename remove_const< typename bindings::value_type<
VectorTAU >::type >::type >::value) );
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixA >::value) );
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorTAU >::value) );
BOOST_ASSERT( bindings::size(tau) >= bindings::size_column(a)-1 );
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::stride_major(a) >= std::max< std::ptrdiff_t >(1,
bindings::size_column(a)) );
return detail::gehrd( bindings::size_column(a), ilo, ihi,
bindings::begin_value(a), bindings::stride_major(a),
bindings::begin_value(tau),
bindings::begin_value(work.select(value_type())),
bindings::size(work.select(value_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 MatrixA, typename VectorTAU >
static std::ptrdiff_t invoke( const fortran_int_t ilo,
const fortran_int_t ihi, MatrixA& a, VectorTAU& tau,
minimal_workspace ) {
namespace bindings = ::boost::numeric::bindings;
bindings::detail::array< value_type > tmp_work( min_size_work(
bindings::size_column(a) ) );
return invoke( ilo, ihi, a, tau, workspace( tmp_work ) );
}
//
// 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 VectorTAU >
static std::ptrdiff_t invoke( const fortran_int_t ilo,
const fortran_int_t ihi, MatrixA& a, VectorTAU& tau,
optimal_workspace ) {
namespace bindings = ::boost::numeric::bindings;
value_type opt_size_work;
detail::gehrd( bindings::size_column(a), ilo, ihi,
bindings::begin_value(a), bindings::stride_major(a),
bindings::begin_value(tau), &opt_size_work, -1 );
bindings::detail::array< value_type > tmp_work(
traits::detail::to_int( opt_size_work ) );
return invoke( ilo, ihi, a, tau, workspace( tmp_work ) );
}
//
// 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,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 gehrd_impl classes. In the
// documentation, most overloads are collapsed to avoid a large number of
// prototypes which are very similar.
//
//
// Overloaded function for gehrd. Its overload differs for
// * User-defined workspace
//
template< typename MatrixA, typename VectorTAU, typename Workspace >
inline typename boost::enable_if< detail::is_workspace< Workspace >,
std::ptrdiff_t >::type
gehrd( const fortran_int_t ilo, const fortran_int_t ihi,
MatrixA& a, VectorTAU& tau, Workspace work ) {
return gehrd_impl< typename bindings::value_type<
MatrixA >::type >::invoke( ilo, ihi, a, tau, work );
}
//
// Overloaded function for gehrd. Its overload differs for
// * Default workspace-type (optimal)
//
template< typename MatrixA, typename VectorTAU >
inline typename boost::disable_if< detail::is_workspace< VectorTAU >,
std::ptrdiff_t >::type
gehrd( const fortran_int_t ilo, const fortran_int_t ihi,
MatrixA& a, VectorTAU& tau ) {
return gehrd_impl< typename bindings::value_type<
MatrixA >::type >::invoke( ilo, ihi, a, tau, optimal_workspace() );
}
} // namespace lapack
} // namespace bindings
} // namespace numeric
} // namespace boost
#endif