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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_TGEXC_HPP
#define BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_TGEXC_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/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 tgexc 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 tgexc( const fortran_bool_t wantq,
const fortran_bool_t wantz, const fortran_int_t n, float* a,
const fortran_int_t lda, float* b, const fortran_int_t ldb, float* q,
const fortran_int_t ldq, float* z, const fortran_int_t ldz,
fortran_int_t& ifst, fortran_int_t& ilst, float* work,
const fortran_int_t lwork ) {
fortran_int_t info(0);
LAPACK_STGEXC( &wantq, &wantz, &n, a, &lda, b, &ldb, q, &ldq, z, &ldz,
&ifst, &ilst, work, &lwork, &info );
return info;
}
//
// Overloaded function for dispatching to
// * netlib-compatible LAPACK backend (the default), and
// * double value-type.
//
inline std::ptrdiff_t tgexc( const fortran_bool_t wantq,
const fortran_bool_t wantz, const fortran_int_t n, double* a,
const fortran_int_t lda, double* b, const fortran_int_t ldb,
double* q, const fortran_int_t ldq, double* z,
const fortran_int_t ldz, fortran_int_t& ifst, fortran_int_t& ilst,
double* work, const fortran_int_t lwork ) {
fortran_int_t info(0);
LAPACK_DTGEXC( &wantq, &wantz, &n, a, &lda, b, &ldb, q, &ldq, z, &ldz,
&ifst, &ilst, 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 tgexc( const fortran_bool_t wantq,
const fortran_bool_t wantz, const fortran_int_t n,
std::complex<float>* a, const fortran_int_t lda,
std::complex<float>* b, const fortran_int_t ldb,
std::complex<float>* q, const fortran_int_t ldq,
std::complex<float>* z, const fortran_int_t ldz,
const fortran_int_t ifst, fortran_int_t& ilst ) {
fortran_int_t info(0);
LAPACK_CTGEXC( &wantq, &wantz, &n, a, &lda, b, &ldb, q, &ldq, z, &ldz,
&ifst, &ilst, &info );
return info;
}
//
// Overloaded function for dispatching to
// * netlib-compatible LAPACK backend (the default), and
// * complex<double> value-type.
//
inline std::ptrdiff_t tgexc( const fortran_bool_t wantq,
const fortran_bool_t wantz, const fortran_int_t n,
std::complex<double>* a, const fortran_int_t lda,
std::complex<double>* b, const fortran_int_t ldb,
std::complex<double>* q, const fortran_int_t ldq,
std::complex<double>* z, const fortran_int_t ldz,
const fortran_int_t ifst, fortran_int_t& ilst ) {
fortran_int_t info(0);
LAPACK_ZTGEXC( &wantq, &wantz, &n, a, &lda, b, &ldb, q, &ldq, z, &ldz,
&ifst, &ilst, &info );
return info;
}
} // namespace detail
//
// Value-type based template class. Use this class if you need a type
// for dispatching to tgexc.
//
template< typename Value, typename Enable = void >
struct tgexc_impl {};
//
// This implementation is enabled if Value is a real type.
//
template< typename Value >
struct tgexc_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 MatrixQ,
typename MatrixZ, typename WORK >
static std::ptrdiff_t invoke( const fortran_bool_t wantq,
const fortran_bool_t wantz, MatrixA& a, MatrixB& b, MatrixQ& q,
MatrixZ& z, fortran_int_t& ifst, fortran_int_t& ilst,
detail::workspace1< WORK > work ) {
namespace bindings = ::boost::numeric::bindings;
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixA >::value) );
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixB >::value) );
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixQ >::value) );
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixZ >::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<
MatrixQ >::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<
MatrixZ >::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< MatrixQ >::value) );
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixZ >::value) );
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::size_minor(b) == 1 ||
bindings::stride_minor(b) == 1 );
BOOST_ASSERT( bindings::size_minor(q) == 1 ||
bindings::stride_minor(q) == 1 );
BOOST_ASSERT( bindings::size_minor(z) == 1 ||
bindings::stride_minor(z) == 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)) );
return detail::tgexc( wantq, wantz, bindings::size_column(a),
bindings::begin_value(a), bindings::stride_major(a),
bindings::begin_value(b), bindings::stride_major(b),
bindings::begin_value(q), bindings::stride_major(q),
bindings::begin_value(z), bindings::stride_major(z), ifst,
ilst, 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 MatrixB, typename MatrixQ,
typename MatrixZ >
static std::ptrdiff_t invoke( const fortran_bool_t wantq,
const fortran_bool_t wantz, MatrixA& a, MatrixB& b, MatrixQ& q,
MatrixZ& z, fortran_int_t& ifst, fortran_int_t& ilst,
minimal_workspace ) {
namespace bindings = ::boost::numeric::bindings;
bindings::detail::array< real_type > tmp_work( min_size_work(
bindings::size_column(a) ) );
return invoke( wantq, wantz, a, b, q, z, ifst, ilst,
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 MatrixB, typename MatrixQ,
typename MatrixZ >
static std::ptrdiff_t invoke( const fortran_bool_t wantq,
const fortran_bool_t wantz, MatrixA& a, MatrixB& b, MatrixQ& q,
MatrixZ& z, fortran_int_t& ifst, fortran_int_t& ilst,
optimal_workspace ) {
namespace bindings = ::boost::numeric::bindings;
real_type opt_size_work;
detail::tgexc( wantq, wantz, bindings::size_column(a),
bindings::begin_value(a), bindings::stride_major(a),
bindings::begin_value(b), bindings::stride_major(b),
bindings::begin_value(q), bindings::stride_major(q),
bindings::begin_value(z), bindings::stride_major(z), ifst,
ilst, &opt_size_work, -1 );
bindings::detail::array< real_type > tmp_work(
traits::detail::to_int( opt_size_work ) );
return invoke( wantq, wantz, a, b, q, z, ifst, ilst,
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 ) {
if (n <= 1)
return 1;
else
return 4*n + 16;
}
};
//
// This implementation is enabled if Value is a complex type.
//
template< typename Value >
struct tgexc_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, that
// * Deduces the required arguments for dispatching to LAPACK, and
// * Asserts that most arguments make sense.
//
template< typename MatrixA, typename MatrixB, typename MatrixQ,
typename MatrixZ >
static std::ptrdiff_t invoke( const fortran_bool_t wantq,
const fortran_bool_t wantz, MatrixA& a, MatrixB& b, MatrixQ& q,
MatrixZ& z, const fortran_int_t ifst,
fortran_int_t& ilst ) {
namespace bindings = ::boost::numeric::bindings;
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixA >::value) );
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixB >::value) );
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixQ >::value) );
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixZ >::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<
MatrixQ >::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<
MatrixZ >::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< MatrixQ >::value) );
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixZ >::value) );
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::size_minor(q) == 1 ||
bindings::stride_minor(q) == 1 );
BOOST_ASSERT( bindings::size_minor(z) == 1 ||
bindings::stride_minor(z) == 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)) );
return detail::tgexc( wantq, wantz, bindings::size_column(a),
bindings::begin_value(a), bindings::stride_major(a),
bindings::begin_value(b), bindings::stride_major(b),
bindings::begin_value(q), bindings::stride_major(q),
bindings::begin_value(z), bindings::stride_major(z), ifst,
ilst );
}
};
//
// 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 tgexc_impl classes. In the
// documentation, most overloads are collapsed to avoid a large number of
// prototypes which are very similar.
//
//
// Overloaded function for tgexc. Its overload differs for
// * User-defined workspace
//
template< typename MatrixA, typename MatrixB, typename MatrixQ,
typename MatrixZ, typename Workspace >
inline typename boost::enable_if< detail::is_workspace< Workspace >,
std::ptrdiff_t >::type
tgexc( const fortran_bool_t wantq, const fortran_bool_t wantz,
MatrixA& a, MatrixB& b, MatrixQ& q, MatrixZ& z,
fortran_int_t& ifst, fortran_int_t& ilst, Workspace work ) {
return tgexc_impl< typename bindings::value_type<
MatrixA >::type >::invoke( wantq, wantz, a, b, q, z, ifst, ilst,
work );
}
//
// Overloaded function for tgexc. Its overload differs for
// * Default workspace-type (optimal)
//
template< typename MatrixA, typename MatrixB, typename MatrixQ,
typename MatrixZ >
inline typename boost::disable_if< detail::is_workspace< MatrixZ >,
std::ptrdiff_t >::type
tgexc( const fortran_bool_t wantq, const fortran_bool_t wantz,
MatrixA& a, MatrixB& b, MatrixQ& q, MatrixZ& z,
fortran_int_t& ifst, fortran_int_t& ilst ) {
return tgexc_impl< typename bindings::value_type<
MatrixA >::type >::invoke( wantq, wantz, a, b, q, z, ifst, ilst,
optimal_workspace() );
}
//
// Overloaded function for tgexc. Its overload differs for
//
template< typename MatrixA, typename MatrixB, typename MatrixQ,
typename MatrixZ >
inline std::ptrdiff_t tgexc( const fortran_bool_t wantq,
const fortran_bool_t wantz, MatrixA& a, MatrixB& b, MatrixQ& q,
MatrixZ& z, const fortran_int_t ifst, fortran_int_t& ilst ) {
return tgexc_impl< typename bindings::value_type<
MatrixA >::type >::invoke( wantq, wantz, a, b, q, z, ifst, ilst );
}
} // namespace lapack
} // namespace bindings
} // namespace numeric
} // namespace boost
#endif
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