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Timed-Altarica-To-Fiacre-Tr…/sdk/boost/numeric/bindings/lapack/driver/hegvd.hpp
Pierre Gaufillet 18eb3f6047 Initial commit.
2018-12-06 16:01:56 +01:00

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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_DRIVER_HEGVD_HPP
#define BOOST_NUMERIC_BINDINGS_LAPACK_DRIVER_HEGVD_HPP
#include <boost/assert.hpp>
#include <boost/numeric/bindings/begin.hpp>
#include <boost/numeric/bindings/detail/array.hpp>
#include <boost/numeric/bindings/is_column_major.hpp>
#include <boost/numeric/bindings/is_complex.hpp>
#include <boost/numeric/bindings/is_mutable.hpp>
#include <boost/numeric/bindings/is_real.hpp>
#include <boost/numeric/bindings/lapack/workspace.hpp>
#include <boost/numeric/bindings/remove_imaginary.hpp>
#include <boost/numeric/bindings/size.hpp>
#include <boost/numeric/bindings/stride.hpp>
#include <boost/numeric/bindings/traits/detail/utils.hpp>
#include <boost/numeric/bindings/uplo_tag.hpp>
#include <boost/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 hegvd is the netlib-compatible backend.
//
#include <boost/numeric/bindings/lapack/detail/lapack.h>
#include <boost/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.
//
template< typename UpLo >
inline std::ptrdiff_t hegvd( const fortran_int_t itype, const char jobz,
const UpLo, const fortran_int_t n, float* a, const fortran_int_t lda,
float* b, const fortran_int_t ldb, float* w, float* work,
const fortran_int_t lwork, fortran_int_t* iwork,
const fortran_int_t liwork ) {
fortran_int_t info(0);
LAPACK_SSYGVD( &itype, &jobz, &lapack_option< UpLo >::value, &n, a, &lda,
b, &ldb, w, work, &lwork, iwork, &liwork, &info );
return info;
}
//
// Overloaded function for dispatching to
// * netlib-compatible LAPACK backend (the default), and
// * double value-type.
//
template< typename UpLo >
inline std::ptrdiff_t hegvd( const fortran_int_t itype, const char jobz,
const UpLo, const fortran_int_t n, double* a, const fortran_int_t lda,
double* b, const fortran_int_t ldb, double* w, double* work,
const fortran_int_t lwork, fortran_int_t* iwork,
const fortran_int_t liwork ) {
fortran_int_t info(0);
LAPACK_DSYGVD( &itype, &jobz, &lapack_option< UpLo >::value, &n, a, &lda,
b, &ldb, w, work, &lwork, iwork, &liwork, &info );
return info;
}
//
// Overloaded function for dispatching to
// * netlib-compatible LAPACK backend (the default), and
// * complex<float> value-type.
//
template< typename UpLo >
inline std::ptrdiff_t hegvd( const fortran_int_t itype, const char jobz,
const UpLo, const fortran_int_t n, std::complex<float>* a,
const fortran_int_t lda, std::complex<float>* b,
const fortran_int_t ldb, float* w, std::complex<float>* work,
const fortran_int_t lwork, float* rwork, const fortran_int_t lrwork,
fortran_int_t* iwork, const fortran_int_t liwork ) {
fortran_int_t info(0);
LAPACK_CHEGVD( &itype, &jobz, &lapack_option< UpLo >::value, &n, a, &lda,
b, &ldb, w, work, &lwork, rwork, &lrwork, iwork, &liwork, &info );
return info;
}
//
// Overloaded function for dispatching to
// * netlib-compatible LAPACK backend (the default), and
// * complex<double> value-type.
//
template< typename UpLo >
inline std::ptrdiff_t hegvd( const fortran_int_t itype, const char jobz,
const UpLo, const fortran_int_t n, std::complex<double>* a,
const fortran_int_t lda, std::complex<double>* b,
const fortran_int_t ldb, double* w, std::complex<double>* work,
const fortran_int_t lwork, double* rwork, const fortran_int_t lrwork,
fortran_int_t* iwork, const fortran_int_t liwork ) {
fortran_int_t info(0);
LAPACK_ZHEGVD( &itype, &jobz, &lapack_option< UpLo >::value, &n, a, &lda,
b, &ldb, w, work, &lwork, rwork, &lrwork, iwork, &liwork, &info );
return info;
}
} // namespace detail
//
// Value-type based template class. Use this class if you need a type
// for dispatching to hegvd.
//
template< typename Value, typename Enable = void >
struct hegvd_impl {};
//
// This implementation is enabled if Value is a real type.
//
template< typename Value >
struct hegvd_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 MatrixB, typename VectorW,
typename WORK, typename IWORK >
static std::ptrdiff_t invoke( const fortran_int_t itype,
const char jobz, MatrixA& a, MatrixB& b, VectorW& w,
detail::workspace2< WORK, IWORK > work ) {
namespace bindings = ::boost::numeric::bindings;
typedef typename result_of::uplo_tag< MatrixA >::type uplo;
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixA >::value) );
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixB >::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<
VectorW >::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< VectorW >::value) );
BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >=
min_size_iwork( jobz, bindings::size_column(a) ));
BOOST_ASSERT( bindings::size(work.select(real_type())) >=
min_size_work( jobz, bindings::size_column(a) ));
BOOST_ASSERT( bindings::size_column(a) >= 0 );
BOOST_ASSERT( bindings::size_minor(a) == 1 ||
bindings::stride_minor(a) == 1 );
BOOST_ASSERT( bindings::size_minor(b) == 1 ||
bindings::stride_minor(b) == 1 );
BOOST_ASSERT( bindings::stride_major(a) >= std::max< std::ptrdiff_t >(1,
bindings::size_column(a)) );
BOOST_ASSERT( bindings::stride_major(b) >= std::max< std::ptrdiff_t >(1,
bindings::size_column(a)) );
BOOST_ASSERT( jobz == 'N' || jobz == 'V' );
return detail::hegvd( itype, jobz, uplo(), bindings::size_column(a),
bindings::begin_value(a), bindings::stride_major(a),
bindings::begin_value(b), bindings::stride_major(b),
bindings::begin_value(w),
bindings::begin_value(work.select(real_type())),
bindings::size(work.select(real_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 MatrixA, typename MatrixB, typename VectorW >
static std::ptrdiff_t invoke( const fortran_int_t itype,
const char jobz, MatrixA& a, MatrixB& b, VectorW& w,
minimal_workspace ) {
namespace bindings = ::boost::numeric::bindings;
typedef typename result_of::uplo_tag< MatrixA >::type uplo;
bindings::detail::array< real_type > tmp_work( min_size_work( jobz,
bindings::size_column(a) ) );
bindings::detail::array< fortran_int_t > tmp_iwork(
min_size_iwork( jobz, bindings::size_column(a) ) );
return invoke( itype, jobz, a, b, w, 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 MatrixA, typename MatrixB, typename VectorW >
static std::ptrdiff_t invoke( const fortran_int_t itype,
const char jobz, MatrixA& a, MatrixB& b, VectorW& w,
optimal_workspace ) {
namespace bindings = ::boost::numeric::bindings;
typedef typename result_of::uplo_tag< MatrixA >::type uplo;
real_type opt_size_work;
fortran_int_t opt_size_iwork;
detail::hegvd( itype, jobz, uplo(), bindings::size_column(a),
bindings::begin_value(a), bindings::stride_major(a),
bindings::begin_value(b), bindings::stride_major(b),
bindings::begin_value(w), &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( itype, jobz, a, b, w, 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 char jobz,
const std::ptrdiff_t n ) {
if ( n < 2 )
return 1;
else {
if ( jobz == 'N' )
return 2*n + 1;
else
return 1 + 6*n + 2*n*n;
}
}
//
// Static member function that returns the minimum size of
// workspace-array iwork.
//
static std::ptrdiff_t min_size_iwork( const char jobz,
const std::ptrdiff_t n ) {
if ( jobz == 'N' || n < 2 )
return 1;
else
return 3 + 5*n;
}
};
//
// This implementation is enabled if Value is a complex type.
//
template< typename Value >
struct hegvd_impl< Value, typename boost::enable_if< is_complex< Value > >::type > {
typedef Value value_type;
typedef typename remove_imaginary< Value >::type real_type;
//
// Static member function for user-defined workspaces, that
// * Deduces the required arguments for dispatching to LAPACK, and
// * Asserts that most arguments make sense.
//
template< typename MatrixA, typename MatrixB, typename VectorW,
typename WORK, typename RWORK, typename IWORK >
static std::ptrdiff_t invoke( const fortran_int_t itype,
const char jobz, MatrixA& a, MatrixB& b, VectorW& w,
detail::workspace3< WORK, RWORK, IWORK > work ) {
namespace bindings = ::boost::numeric::bindings;
typedef typename result_of::uplo_tag< MatrixA >::type uplo;
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixA >::value) );
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixB >::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( (bindings::is_mutable< MatrixA >::value) );
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixB >::value) );
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorW >::value) );
BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >=
min_size_iwork( jobz, bindings::size_column(a) ));
BOOST_ASSERT( bindings::size(work.select(real_type())) >=
min_size_rwork( jobz, bindings::size_column(a) ));
BOOST_ASSERT( bindings::size(work.select(value_type())) >=
min_size_work( jobz, bindings::size_column(a) ));
BOOST_ASSERT( bindings::size_column(a) >= 0 );
BOOST_ASSERT( bindings::size_minor(a) == 1 ||
bindings::stride_minor(a) == 1 );
BOOST_ASSERT( bindings::size_minor(b) == 1 ||
bindings::stride_minor(b) == 1 );
BOOST_ASSERT( bindings::stride_major(a) >= std::max< std::ptrdiff_t >(1,
bindings::size_column(a)) );
BOOST_ASSERT( bindings::stride_major(b) >= std::max< std::ptrdiff_t >(1,
bindings::size_column(a)) );
BOOST_ASSERT( jobz == 'N' || jobz == 'V' );
return detail::hegvd( itype, jobz, uplo(), bindings::size_column(a),
bindings::begin_value(a), bindings::stride_major(a),
bindings::begin_value(b), bindings::stride_major(b),
bindings::begin_value(w),
bindings::begin_value(work.select(value_type())),
bindings::size(work.select(value_type())),
bindings::begin_value(work.select(real_type())),
bindings::size(work.select(real_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 MatrixA, typename MatrixB, typename VectorW >
static std::ptrdiff_t invoke( const fortran_int_t itype,
const char jobz, MatrixA& a, MatrixB& b, VectorW& w,
minimal_workspace ) {
namespace bindings = ::boost::numeric::bindings;
typedef typename result_of::uplo_tag< MatrixA >::type uplo;
bindings::detail::array< value_type > tmp_work( min_size_work( jobz,
bindings::size_column(a) ) );
bindings::detail::array< real_type > tmp_rwork( min_size_rwork( jobz,
bindings::size_column(a) ) );
bindings::detail::array< fortran_int_t > tmp_iwork(
min_size_iwork( jobz, bindings::size_column(a) ) );
return invoke( itype, jobz, a, b, w, workspace( tmp_work, tmp_rwork,
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 MatrixA, typename MatrixB, typename VectorW >
static std::ptrdiff_t invoke( const fortran_int_t itype,
const char jobz, MatrixA& a, MatrixB& b, VectorW& w,
optimal_workspace ) {
namespace bindings = ::boost::numeric::bindings;
typedef typename result_of::uplo_tag< MatrixA >::type uplo;
value_type opt_size_work;
real_type opt_size_rwork;
fortran_int_t opt_size_iwork;
detail::hegvd( itype, jobz, uplo(), bindings::size_column(a),
bindings::begin_value(a), bindings::stride_major(a),
bindings::begin_value(b), bindings::stride_major(b),
bindings::begin_value(w), &opt_size_work, -1, &opt_size_rwork,
-1, &opt_size_iwork, -1 );
bindings::detail::array< value_type > tmp_work(
traits::detail::to_int( opt_size_work ) );
bindings::detail::array< real_type > tmp_rwork(
traits::detail::to_int( opt_size_rwork ) );
bindings::detail::array< fortran_int_t > tmp_iwork(
opt_size_iwork );
return invoke( itype, jobz, a, b, w, workspace( tmp_work, tmp_rwork,
tmp_iwork ) );
}
//
// Static member function that returns the minimum size of
// workspace-array work.
//
static std::ptrdiff_t min_size_work( const char jobz,
const std::ptrdiff_t n ) {
if ( n < 2 )
return 1;
else {
if ( jobz == 'N' )
return n+1;
else
return 2*n + n*n;
}
}
//
// Static member function that returns the minimum size of
// workspace-array rwork.
//
static std::ptrdiff_t min_size_rwork( const char jobz,
const std::ptrdiff_t n ) {
if ( n < 2 )
return 1;
else {
if ( jobz == 'N' )
return n;
else
return 1 + 5*n + 2*n*n;
}
}
//
// Static member function that returns the minimum size of
// workspace-array iwork.
//
static std::ptrdiff_t min_size_iwork( const char jobz,
const std::ptrdiff_t n ) {
if ( jobz == 'N' || n < 2 )
return 1;
else
return 3 + 5*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 hegvd_impl classes. In the
// documentation, most overloads are collapsed to avoid a large number of
// prototypes which are very similar.
//
//
// Overloaded function for hegvd. Its overload differs for
// * User-defined workspace
//
template< typename MatrixA, typename MatrixB, typename VectorW,
typename Workspace >
inline typename boost::enable_if< detail::is_workspace< Workspace >,
std::ptrdiff_t >::type
hegvd( const fortran_int_t itype, const char jobz, MatrixA& a,
MatrixB& b, VectorW& w, Workspace work ) {
return hegvd_impl< typename bindings::value_type<
MatrixA >::type >::invoke( itype, jobz, a, b, w, work );
}
//
// Overloaded function for hegvd. Its overload differs for
// * Default workspace-type (optimal)
//
template< typename MatrixA, typename MatrixB, typename VectorW >
inline typename boost::disable_if< detail::is_workspace< VectorW >,
std::ptrdiff_t >::type
hegvd( const fortran_int_t itype, const char jobz, MatrixA& a,
MatrixB& b, VectorW& w ) {
return hegvd_impl< typename bindings::value_type<
MatrixA >::type >::invoke( itype, jobz, a, b, w,
optimal_workspace() );
}
} // namespace lapack
} // namespace bindings
} // namespace numeric
} // namespace boost
#endif
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