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Timed-Altarica-To-Fiacre-Tr…/sdk/boost/numeric/bindings/lapack/computational/gbbrd.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_COMPUTATIONAL_GBBRD_HPP
#define BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_GBBRD_HPP
#include <boost/assert.hpp>
#include <boost/numeric/bindings/bandwidth.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/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 gbbrd 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.
//
inline std::ptrdiff_t gbbrd( const char vect, const fortran_int_t m,
const fortran_int_t n, const fortran_int_t ncc,
const fortran_int_t kl, const fortran_int_t ku, float* ab,
const fortran_int_t ldab, float* d, float* e, float* q,
const fortran_int_t ldq, float* pt, const fortran_int_t ldpt,
float* c, const fortran_int_t ldc, float* work ) {
fortran_int_t info(0);
LAPACK_SGBBRD( &vect, &m, &n, &ncc, &kl, &ku, ab, &ldab, d, e, q, &ldq,
pt, &ldpt, c, &ldc, work, &info );
return info;
}
//
// Overloaded function for dispatching to
// * netlib-compatible LAPACK backend (the default), and
// * double value-type.
//
inline std::ptrdiff_t gbbrd( const char vect, const fortran_int_t m,
const fortran_int_t n, const fortran_int_t ncc,
const fortran_int_t kl, const fortran_int_t ku, double* ab,
const fortran_int_t ldab, double* d, double* e, double* q,
const fortran_int_t ldq, double* pt, const fortran_int_t ldpt,
double* c, const fortran_int_t ldc, double* work ) {
fortran_int_t info(0);
LAPACK_DGBBRD( &vect, &m, &n, &ncc, &kl, &ku, ab, &ldab, d, e, q, &ldq,
pt, &ldpt, c, &ldc, work, &info );
return info;
}
//
// Overloaded function for dispatching to
// * netlib-compatible LAPACK backend (the default), and
// * complex<float> value-type.
//
inline std::ptrdiff_t gbbrd( const char vect, const fortran_int_t m,
const fortran_int_t n, const fortran_int_t ncc,
const fortran_int_t kl, const fortran_int_t ku,
std::complex<float>* ab, const fortran_int_t ldab, float* d, float* e,
std::complex<float>* q, const fortran_int_t ldq,
std::complex<float>* pt, const fortran_int_t ldpt,
std::complex<float>* c, const fortran_int_t ldc,
std::complex<float>* work, float* rwork ) {
fortran_int_t info(0);
LAPACK_CGBBRD( &vect, &m, &n, &ncc, &kl, &ku, ab, &ldab, d, e, q, &ldq,
pt, &ldpt, c, &ldc, work, rwork, &info );
return info;
}
//
// Overloaded function for dispatching to
// * netlib-compatible LAPACK backend (the default), and
// * complex<double> value-type.
//
inline std::ptrdiff_t gbbrd( const char vect, const fortran_int_t m,
const fortran_int_t n, const fortran_int_t ncc,
const fortran_int_t kl, const fortran_int_t ku,
std::complex<double>* ab, const fortran_int_t ldab, double* d,
double* e, std::complex<double>* q, const fortran_int_t ldq,
std::complex<double>* pt, const fortran_int_t ldpt,
std::complex<double>* c, const fortran_int_t ldc,
std::complex<double>* work, double* rwork ) {
fortran_int_t info(0);
LAPACK_ZGBBRD( &vect, &m, &n, &ncc, &kl, &ku, ab, &ldab, d, e, q, &ldq,
pt, &ldpt, c, &ldc, work, rwork, &info );
return info;
}
} // namespace detail
//
// Value-type based template class. Use this class if you need a type
// for dispatching to gbbrd.
//
template< typename Value, typename Enable = void >
struct gbbrd_impl {};
//
// This implementation is enabled if Value is a real type.
//
template< typename Value >
struct gbbrd_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 MatrixAB, typename VectorD, typename VectorE,
typename MatrixQ, typename MatrixPT, typename MatrixC,
typename WORK >
static std::ptrdiff_t invoke( const char vect, MatrixAB& ab, VectorD& d,
VectorE& e, MatrixQ& q, MatrixPT& pt, MatrixC& c,
detail::workspace1< WORK > work ) {
namespace bindings = ::boost::numeric::bindings;
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixAB >::value) );
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixQ >::value) );
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixPT >::value) );
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixC >::value) );
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
typename bindings::value_type< MatrixAB >::type >::type,
typename remove_const< typename bindings::value_type<
VectorD >::type >::type >::value) );
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
typename bindings::value_type< MatrixAB >::type >::type,
typename remove_const< typename bindings::value_type<
VectorE >::type >::type >::value) );
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
typename bindings::value_type< MatrixAB >::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< MatrixAB >::type >::type,
typename remove_const< typename bindings::value_type<
MatrixPT >::type >::type >::value) );
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
typename bindings::value_type< MatrixAB >::type >::type,
typename remove_const< typename bindings::value_type<
MatrixC >::type >::type >::value) );
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixAB >::value) );
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorD >::value) );
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_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(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< real_type > tmp_work( min_size_work(
bindings::size_row(ab), bindings::size_column(ab) ) );
return invoke( vect, ab, d, e, q, pt, c, 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 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 2*std::max< std::ptrdiff_t >(m,n);
}
};
//
// This implementation is enabled if Value is a complex type.
//
template< typename Value >
struct gbbrd_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 MatrixAB, typename VectorD, typename VectorE,
typename MatrixQ, typename MatrixPT, typename MatrixC,
typename WORK, typename RWORK >
static std::ptrdiff_t invoke( const char vect, MatrixAB& ab, VectorD& d,
VectorE& e, MatrixQ& q, MatrixPT& pt, MatrixC& c,
detail::workspace2< WORK, RWORK > work ) {
namespace bindings = ::boost::numeric::bindings;
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixAB >::value) );
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixQ >::value) );
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixPT >::value) );
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixC >::value) );
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
typename bindings::value_type< VectorD >::type >::type,
typename remove_const< typename bindings::value_type<
VectorE >::type >::type >::value) );
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
typename bindings::value_type< MatrixAB >::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< MatrixAB >::type >::type,
typename remove_const< typename bindings::value_type<
MatrixPT >::type >::type >::value) );
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
typename bindings::value_type< MatrixAB >::type >::type,
typename remove_const< typename bindings::value_type<
MatrixC >::type >::type >::value) );
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixAB >::value) );
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorD >::value) );
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
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