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laebz.hpp
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laebz.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_AUXILIARY_LAEBZ_HPP
#define BOOST_NUMERIC_BINDINGS_LAPACK_AUXILIARY_LAEBZ_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_mutable.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/value_type.hpp>
#include <boost/static_assert.hpp>
#include <boost/type_traits/is_same.hpp>
#include <boost/type_traits/remove_const.hpp>
//
// The LAPACK-backend for laebz 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 laebz( const fortran_int_t ijob,
const fortran_int_t nitmax, const fortran_int_t n,
const fortran_int_t mmax, const fortran_int_t minp,
const fortran_int_t nbmin, const float abstol, const float reltol,
const float pivmin, const float* d, const float* e, const float* e2,
fortran_int_t* nval, float* ab, float* c, fortran_int_t& mout,
fortran_int_t* nab, float* work, fortran_int_t* iwork ) {
fortran_int_t info(0);
LAPACK_SLAEBZ( &ijob, &nitmax, &n, &mmax, &minp, &nbmin, &abstol, &reltol,
&pivmin, d, e, e2, nval, ab, c, &mout, nab, work, iwork, &info );
return info;
}
//
// Overloaded function for dispatching to
// * netlib-compatible LAPACK backend (the default), and
// * double value-type.
//
inline std::ptrdiff_t laebz( const fortran_int_t ijob,
const fortran_int_t nitmax, const fortran_int_t n,
const fortran_int_t mmax, const fortran_int_t minp,
const fortran_int_t nbmin, const double abstol, const double reltol,
const double pivmin, const double* d, const double* e,
const double* e2, fortran_int_t* nval, double* ab, double* c,
fortran_int_t& mout, fortran_int_t* nab, double* work,
fortran_int_t* iwork ) {
fortran_int_t info(0);
LAPACK_DLAEBZ( &ijob, &nitmax, &n, &mmax, &minp, &nbmin, &abstol, &reltol,
&pivmin, d, e, e2, nval, ab, c, &mout, nab, work, iwork, &info );
return info;
}
} // namespace detail
//
// Value-type based template class. Use this class if you need a type
// for dispatching to laebz.
//
template< typename Value >
struct laebz_impl {
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 VectorD, typename VectorE, typename VectorE2,
typename VectorNVAL, typename MatrixAB, typename VectorC,
typename MatrixNAB, typename WORK, typename IWORK >
static std::ptrdiff_t invoke( const fortran_int_t ijob,
const fortran_int_t nitmax, const fortran_int_t n,
const fortran_int_t minp, const fortran_int_t nbmin,
const real_type abstol, const real_type reltol,
const real_type pivmin, const VectorD& d, const VectorE& e,
const VectorE2& e2, VectorNVAL& nval, MatrixAB& ab, VectorC& c,
fortran_int_t& mout, MatrixNAB& nab, detail::workspace2< WORK,
IWORK > work ) {
namespace bindings = ::boost::numeric::bindings;
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixAB >::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< VectorD >::type >::type,
typename remove_const< typename bindings::value_type<
VectorE2 >::type >::type >::value) );
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
typename bindings::value_type< VectorD >::type >::type,
typename remove_const< typename bindings::value_type<
MatrixAB >::type >::type >::value) );
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
typename bindings::value_type< VectorD >::type >::type,
typename remove_const< typename bindings::value_type<
VectorC >::type >::type >::value) );
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
typename bindings::value_type< VectorNVAL >::type >::type,
typename remove_const< typename bindings::value_type<
MatrixNAB >::type >::type >::value) );
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorNVAL >::value) );
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixAB >::value) );
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorC >::value) );
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixNAB >::value) );
BOOST_ASSERT( bindings::size(d) >= n );
BOOST_ASSERT( bindings::size(e) >= n );
BOOST_ASSERT( bindings::size(e2) >= n );
BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >=
min_size_iwork( bindings::stride_major(ab) ));
BOOST_ASSERT( bindings::size(work.select(real_type())) >=
min_size_work( bindings::stride_major(ab) ));
BOOST_ASSERT( bindings::size_minor(ab) == 1 ||
bindings::stride_minor(ab) == 1 );
return detail::laebz( ijob, nitmax, n, bindings::stride_major(ab),
minp, nbmin, abstol, reltol, pivmin, bindings::begin_value(d),
bindings::begin_value(e), bindings::begin_value(e2),
bindings::begin_value(nval), bindings::begin_value(ab),
bindings::begin_value(c), mout, bindings::begin_value(nab),
bindings::begin_value(work.select(real_type())),
bindings::begin_value(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 VectorD, typename VectorE, typename VectorE2,
typename VectorNVAL, typename MatrixAB, typename VectorC,
typename MatrixNAB >
static std::ptrdiff_t invoke( const fortran_int_t ijob,
const fortran_int_t nitmax, const fortran_int_t n,
const fortran_int_t minp, const fortran_int_t nbmin,
const real_type abstol, const real_type reltol,
const real_type pivmin, const VectorD& d, const VectorE& e,
const VectorE2& e2, VectorNVAL& nval, MatrixAB& ab, VectorC& c,
fortran_int_t& mout, MatrixNAB& nab, minimal_workspace ) {
namespace bindings = ::boost::numeric::bindings;
bindings::detail::array< real_type > tmp_work( min_size_work(
bindings::stride_major(ab) ) );
bindings::detail::array< fortran_int_t > tmp_iwork(
min_size_iwork( bindings::stride_major(ab) ) );
return invoke( ijob, nitmax, n, minp, nbmin, abstol, reltol, pivmin,
d, e, e2, nval, ab, c, mout, nab, 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 VectorD, typename VectorE, typename VectorE2,
typename VectorNVAL, typename MatrixAB, typename VectorC,
typename MatrixNAB >
static std::ptrdiff_t invoke( const fortran_int_t ijob,
const fortran_int_t nitmax, const fortran_int_t n,
const fortran_int_t minp, const fortran_int_t nbmin,
const real_type abstol, const real_type reltol,
const real_type pivmin, const VectorD& d, const VectorE& e,
const VectorE2& e2, VectorNVAL& nval, MatrixAB& ab, VectorC& c,
fortran_int_t& mout, MatrixNAB& nab, optimal_workspace ) {
namespace bindings = ::boost::numeric::bindings;
return invoke( ijob, nitmax, n, minp, nbmin, abstol, reltol, pivmin,
d, e, e2, nval, ab, c, mout, nab, 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 mmax ) {
return mmax;
}
//
// Static member function that returns the minimum size of
// workspace-array iwork.
//
static std::ptrdiff_t min_size_iwork( const std::ptrdiff_t mmax ) {
return mmax;
}
};
//
// 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 laebz_impl classes. In the
// documentation, most overloads are collapsed to avoid a large number of
// prototypes which are very similar.
//
//
// Overloaded function for laebz. Its overload differs for
// * User-defined workspace
//
template< typename VectorD, typename VectorE, typename VectorE2,
typename VectorNVAL, typename MatrixAB, typename VectorC,
typename MatrixNAB, typename Workspace >
inline typename boost::enable_if< detail::is_workspace< Workspace >,
std::ptrdiff_t >::type
laebz( const fortran_int_t ijob, const fortran_int_t nitmax,
const fortran_int_t n, const fortran_int_t minp,
const fortran_int_t nbmin, const typename remove_imaginary<
typename bindings::value_type< VectorD >::type >::type abstol,
const typename remove_imaginary< typename bindings::value_type<
VectorD >::type >::type reltol, const typename remove_imaginary<
typename bindings::value_type< VectorD >::type >::type pivmin,
const VectorD& d, const VectorE& e, const VectorE2& e2,
VectorNVAL& nval, MatrixAB& ab, VectorC& c, fortran_int_t& mout,
MatrixNAB& nab, Workspace work ) {
return laebz_impl< typename bindings::value_type<
VectorD >::type >::invoke( ijob, nitmax, n, minp, nbmin, abstol,
reltol, pivmin, d, e, e2, nval, ab, c, mout, nab, work );
}
//
// Overloaded function for laebz. Its overload differs for
// * Default workspace-type (optimal)
//
template< typename VectorD, typename VectorE, typename VectorE2,
typename VectorNVAL, typename MatrixAB, typename VectorC,
typename MatrixNAB >
inline typename boost::disable_if< detail::is_workspace< MatrixNAB >,
std::ptrdiff_t >::type
laebz( const fortran_int_t ijob, const fortran_int_t nitmax,
const fortran_int_t n, const fortran_int_t minp,
const fortran_int_t nbmin, const typename remove_imaginary<
typename bindings::value_type< VectorD >::type >::type abstol,
const typename remove_imaginary< typename bindings::value_type<
VectorD >::type >::type reltol, const typename remove_imaginary<
typename bindings::value_type< VectorD >::type >::type pivmin,
const VectorD& d, const VectorE& e, const VectorE2& e2,
VectorNVAL& nval, MatrixAB& ab, VectorC& c, fortran_int_t& mout,
MatrixNAB& nab ) {
return laebz_impl< typename bindings::value_type<
VectorD >::type >::invoke( ijob, nitmax, n, minp, nbmin, abstol,
reltol, pivmin, d, e, e2, nval, ab, c, mout, nab,
optimal_workspace() );
}
} // namespace lapack
} // namespace bindings
} // namespace numeric
} // namespace boost
#endif