You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
526 lines
24 KiB
526 lines
24 KiB
6 years ago
|
//
|
||
|
// 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_HGEQZ_HPP
|
||
|
#define BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_HGEQZ_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 hgeqz 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 hgeqz( const char job, const char compq,
|
||
|
const char compz, const fortran_int_t n, const fortran_int_t ilo,
|
||
|
const fortran_int_t ihi, float* h, const fortran_int_t ldh, float* t,
|
||
|
const fortran_int_t ldt, float* alphar, float* alphai, float* beta,
|
||
|
float* q, const fortran_int_t ldq, float* z, const fortran_int_t ldz,
|
||
|
float* work, const fortran_int_t lwork ) {
|
||
|
fortran_int_t info(0);
|
||
|
LAPACK_SHGEQZ( &job, &compq, &compz, &n, &ilo, &ihi, h, &ldh, t, &ldt,
|
||
|
alphar, alphai, beta, q, &ldq, z, &ldz, work, &lwork, &info );
|
||
|
return info;
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// Overloaded function for dispatching to
|
||
|
// * netlib-compatible LAPACK backend (the default), and
|
||
|
// * double value-type.
|
||
|
//
|
||
|
inline std::ptrdiff_t hgeqz( const char job, const char compq,
|
||
|
const char compz, const fortran_int_t n, const fortran_int_t ilo,
|
||
|
const fortran_int_t ihi, double* h, const fortran_int_t ldh,
|
||
|
double* t, const fortran_int_t ldt, double* alphar, double* alphai,
|
||
|
double* beta, double* q, const fortran_int_t ldq, double* z,
|
||
|
const fortran_int_t ldz, double* work, const fortran_int_t lwork ) {
|
||
|
fortran_int_t info(0);
|
||
|
LAPACK_DHGEQZ( &job, &compq, &compz, &n, &ilo, &ihi, h, &ldh, t, &ldt,
|
||
|
alphar, alphai, beta, q, &ldq, z, &ldz, 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 hgeqz( const char job, const char compq,
|
||
|
const char compz, const fortran_int_t n, const fortran_int_t ilo,
|
||
|
const fortran_int_t ihi, std::complex<float>* h,
|
||
|
const fortran_int_t ldh, std::complex<float>* t,
|
||
|
const fortran_int_t ldt, std::complex<float>* alpha,
|
||
|
std::complex<float>* beta, std::complex<float>* q,
|
||
|
const fortran_int_t ldq, std::complex<float>* z,
|
||
|
const fortran_int_t ldz, std::complex<float>* work,
|
||
|
const fortran_int_t lwork, float* rwork ) {
|
||
|
fortran_int_t info(0);
|
||
|
LAPACK_CHGEQZ( &job, &compq, &compz, &n, &ilo, &ihi, h, &ldh, t, &ldt,
|
||
|
alpha, beta, q, &ldq, z, &ldz, work, &lwork, rwork, &info );
|
||
|
return info;
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// Overloaded function for dispatching to
|
||
|
// * netlib-compatible LAPACK backend (the default), and
|
||
|
// * complex<double> value-type.
|
||
|
//
|
||
|
inline std::ptrdiff_t hgeqz( const char job, const char compq,
|
||
|
const char compz, const fortran_int_t n, const fortran_int_t ilo,
|
||
|
const fortran_int_t ihi, std::complex<double>* h,
|
||
|
const fortran_int_t ldh, std::complex<double>* t,
|
||
|
const fortran_int_t ldt, std::complex<double>* alpha,
|
||
|
std::complex<double>* beta, std::complex<double>* q,
|
||
|
const fortran_int_t ldq, std::complex<double>* z,
|
||
|
const fortran_int_t ldz, std::complex<double>* work,
|
||
|
const fortran_int_t lwork, double* rwork ) {
|
||
|
fortran_int_t info(0);
|
||
|
LAPACK_ZHGEQZ( &job, &compq, &compz, &n, &ilo, &ihi, h, &ldh, t, &ldt,
|
||
|
alpha, beta, q, &ldq, z, &ldz, work, &lwork, rwork, &info );
|
||
|
return info;
|
||
|
}
|
||
|
|
||
|
} // namespace detail
|
||
|
|
||
|
//
|
||
|
// Value-type based template class. Use this class if you need a type
|
||
|
// for dispatching to hgeqz.
|
||
|
//
|
||
|
template< typename Value, typename Enable = void >
|
||
|
struct hgeqz_impl {};
|
||
|
|
||
|
//
|
||
|
// This implementation is enabled if Value is a real type.
|
||
|
//
|
||
|
template< typename Value >
|
||
|
struct hgeqz_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 MatrixH, typename MatrixT, typename VectorALPHAR,
|
||
|
typename VectorALPHAI, typename VectorBETA, typename MatrixQ,
|
||
|
typename MatrixZ, typename WORK >
|
||
|
static std::ptrdiff_t invoke( const char job, const char compq,
|
||
|
const char compz, const fortran_int_t ilo, MatrixH& h,
|
||
|
MatrixT& t, VectorALPHAR& alphar, VectorALPHAI& alphai,
|
||
|
VectorBETA& beta, MatrixQ& q, MatrixZ& z, detail::workspace1<
|
||
|
WORK > work ) {
|
||
|
namespace bindings = ::boost::numeric::bindings;
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixH >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixT >::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< MatrixH >::type >::type,
|
||
|
typename remove_const< typename bindings::value_type<
|
||
|
MatrixT >::type >::type >::value) );
|
||
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
typename bindings::value_type< MatrixH >::type >::type,
|
||
|
typename remove_const< typename bindings::value_type<
|
||
|
VectorALPHAR >::type >::type >::value) );
|
||
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
typename bindings::value_type< MatrixH >::type >::type,
|
||
|
typename remove_const< typename bindings::value_type<
|
||
|
VectorALPHAI >::type >::type >::value) );
|
||
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
typename bindings::value_type< MatrixH >::type >::type,
|
||
|
typename remove_const< typename bindings::value_type<
|
||
|
VectorBETA >::type >::type >::value) );
|
||
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
typename bindings::value_type< MatrixH >::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< MatrixH >::type >::type,
|
||
|
typename remove_const< typename bindings::value_type<
|
||
|
MatrixZ >::type >::type >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixH >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixT >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorALPHAR >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorALPHAI >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorBETA >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixQ >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixZ >::value) );
|
||
|
BOOST_ASSERT( bindings::size(alphar) >= bindings::size_column(h) );
|
||
|
BOOST_ASSERT( bindings::size(beta) >= bindings::size_column(h) );
|
||
|
BOOST_ASSERT( bindings::size(work.select(real_type())) >=
|
||
|
min_size_work( bindings::size_column(h) ));
|
||
|
BOOST_ASSERT( bindings::size_column(h) >= 0 );
|
||
|
BOOST_ASSERT( bindings::size_minor(h) == 1 ||
|
||
|
bindings::stride_minor(h) == 1 );
|
||
|
BOOST_ASSERT( bindings::size_minor(q) == 1 ||
|
||
|
bindings::stride_minor(q) == 1 );
|
||
|
BOOST_ASSERT( bindings::size_minor(t) == 1 ||
|
||
|
bindings::stride_minor(t) == 1 );
|
||
|
BOOST_ASSERT( bindings::size_minor(z) == 1 ||
|
||
|
bindings::stride_minor(z) == 1 );
|
||
|
BOOST_ASSERT( bindings::stride_major(h) >= std::max< std::ptrdiff_t >(1,
|
||
|
bindings::size_column(h)) );
|
||
|
BOOST_ASSERT( bindings::stride_major(t) >= std::max< std::ptrdiff_t >(1,
|
||
|
bindings::size_column(h)) );
|
||
|
BOOST_ASSERT( compq == 'N' || compq == 'I' || compq == 'V' );
|
||
|
BOOST_ASSERT( compz == 'N' || compz == 'I' || compz == 'V' );
|
||
|
BOOST_ASSERT( job == 'E' || job == 'S' );
|
||
|
return detail::hgeqz( job, compq, compz, bindings::size_column(h),
|
||
|
ilo, bindings::size_column(h), bindings::begin_value(h),
|
||
|
bindings::stride_major(h), bindings::begin_value(t),
|
||
|
bindings::stride_major(t), bindings::begin_value(alphar),
|
||
|
bindings::begin_value(alphai), bindings::begin_value(beta),
|
||
|
bindings::begin_value(q), bindings::stride_major(q),
|
||
|
bindings::begin_value(z), bindings::stride_major(z),
|
||
|
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 MatrixH, typename MatrixT, typename VectorALPHAR,
|
||
|
typename VectorALPHAI, typename VectorBETA, typename MatrixQ,
|
||
|
typename MatrixZ >
|
||
|
static std::ptrdiff_t invoke( const char job, const char compq,
|
||
|
const char compz, const fortran_int_t ilo, MatrixH& h,
|
||
|
MatrixT& t, VectorALPHAR& alphar, VectorALPHAI& alphai,
|
||
|
VectorBETA& beta, MatrixQ& q, MatrixZ& z, minimal_workspace ) {
|
||
|
namespace bindings = ::boost::numeric::bindings;
|
||
|
bindings::detail::array< real_type > tmp_work( min_size_work(
|
||
|
bindings::size_column(h) ) );
|
||
|
return invoke( job, compq, compz, ilo, h, t, alphar, alphai, beta, q,
|
||
|
z, 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 MatrixH, typename MatrixT, typename VectorALPHAR,
|
||
|
typename VectorALPHAI, typename VectorBETA, typename MatrixQ,
|
||
|
typename MatrixZ >
|
||
|
static std::ptrdiff_t invoke( const char job, const char compq,
|
||
|
const char compz, const fortran_int_t ilo, MatrixH& h,
|
||
|
MatrixT& t, VectorALPHAR& alphar, VectorALPHAI& alphai,
|
||
|
VectorBETA& beta, MatrixQ& q, MatrixZ& z, optimal_workspace ) {
|
||
|
namespace bindings = ::boost::numeric::bindings;
|
||
|
real_type opt_size_work;
|
||
|
detail::hgeqz( job, compq, compz, bindings::size_column(h), ilo,
|
||
|
bindings::size_column(h), bindings::begin_value(h),
|
||
|
bindings::stride_major(h), bindings::begin_value(t),
|
||
|
bindings::stride_major(t), bindings::begin_value(alphar),
|
||
|
bindings::begin_value(alphai), bindings::begin_value(beta),
|
||
|
bindings::begin_value(q), bindings::stride_major(q),
|
||
|
bindings::begin_value(z), bindings::stride_major(z),
|
||
|
&opt_size_work, -1 );
|
||
|
bindings::detail::array< real_type > tmp_work(
|
||
|
traits::detail::to_int( opt_size_work ) );
|
||
|
return invoke( job, compq, compz, ilo, h, t, alphar, alphai, beta, q,
|
||
|
z, 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 hgeqz_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 MatrixH, typename MatrixT, typename VectorALPHA,
|
||
|
typename VectorBETA, typename MatrixQ, typename MatrixZ,
|
||
|
typename WORK, typename RWORK >
|
||
|
static std::ptrdiff_t invoke( const char job, const char compq,
|
||
|
const char compz, const fortran_int_t ilo, MatrixH& h,
|
||
|
MatrixT& t, VectorALPHA& alpha, VectorBETA& beta, MatrixQ& q,
|
||
|
MatrixZ& z, detail::workspace2< WORK, RWORK > work ) {
|
||
|
namespace bindings = ::boost::numeric::bindings;
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixH >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixT >::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< MatrixH >::type >::type,
|
||
|
typename remove_const< typename bindings::value_type<
|
||
|
MatrixT >::type >::type >::value) );
|
||
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
typename bindings::value_type< MatrixH >::type >::type,
|
||
|
typename remove_const< typename bindings::value_type<
|
||
|
VectorALPHA >::type >::type >::value) );
|
||
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
typename bindings::value_type< MatrixH >::type >::type,
|
||
|
typename remove_const< typename bindings::value_type<
|
||
|
VectorBETA >::type >::type >::value) );
|
||
|
BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
|
||
|
typename bindings::value_type< MatrixH >::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< MatrixH >::type >::type,
|
||
|
typename remove_const< typename bindings::value_type<
|
||
|
MatrixZ >::type >::type >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixH >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixT >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorALPHA >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorBETA >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixQ >::value) );
|
||
|
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixZ >::value) );
|
||
|
BOOST_ASSERT( bindings::size(alpha) >= bindings::size_column(h) );
|
||
|
BOOST_ASSERT( bindings::size(beta) >= bindings::size_column(h) );
|
||
|
BOOST_ASSERT( bindings::size(work.select(real_type())) >=
|
||
|
min_size_rwork( bindings::size_column(h) ));
|
||
|
BOOST_ASSERT( bindings::size(work.select(value_type())) >=
|
||
|
min_size_work( bindings::size_column(h) ));
|
||
|
BOOST_ASSERT( bindings::size_column(h) >= 0 );
|
||
|
BOOST_ASSERT( bindings::size_minor(h) == 1 ||
|
||
|
bindings::stride_minor(h) == 1 );
|
||
|
BOOST_ASSERT( bindings::size_minor(q) == 1 ||
|
||
|
bindings::stride_minor(q) == 1 );
|
||
|
BOOST_ASSERT( bindings::size_minor(t) == 1 ||
|
||
|
bindings::stride_minor(t) == 1 );
|
||
|
BOOST_ASSERT( bindings::size_minor(z) == 1 ||
|
||
|
bindings::stride_minor(z) == 1 );
|
||
|
BOOST_ASSERT( bindings::stride_major(h) >= std::max< std::ptrdiff_t >(1,
|
||
|
bindings::size_column(h)) );
|
||
|
BOOST_ASSERT( bindings::stride_major(t) >= std::max< std::ptrdiff_t >(1,
|
||
|
bindings::size_column(h)) );
|
||
|
BOOST_ASSERT( compq == 'N' || compq == 'I' || compq == 'V' );
|
||
|
BOOST_ASSERT( compz == 'N' || compz == 'I' || compz == 'V' );
|
||
|
BOOST_ASSERT( job == 'E' || job == 'S' );
|
||
|
return detail::hgeqz( job, compq, compz, bindings::size_column(h),
|
||
|
ilo, bindings::size_column(h), bindings::begin_value(h),
|
||
|
bindings::stride_major(h), bindings::begin_value(t),
|
||
|
bindings::stride_major(t), bindings::begin_value(alpha),
|
||
|
bindings::begin_value(beta), bindings::begin_value(q),
|
||
|
bindings::stride_major(q), bindings::begin_value(z),
|
||
|
bindings::stride_major(z),
|
||
|
bindings::begin_value(work.select(value_type())),
|
||
|
bindings::size(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 MatrixH, typename MatrixT, typename VectorALPHA,
|
||
|
typename VectorBETA, typename MatrixQ, typename MatrixZ >
|
||
|
static std::ptrdiff_t invoke( const char job, const char compq,
|
||
|
const char compz, const fortran_int_t ilo, MatrixH& h,
|
||
|
MatrixT& t, VectorALPHA& alpha, VectorBETA& beta, MatrixQ& q,
|
||
|
MatrixZ& z, minimal_workspace ) {
|
||
|
namespace bindings = ::boost::numeric::bindings;
|
||
|
bindings::detail::array< value_type > tmp_work( min_size_work(
|
||
|
bindings::size_column(h) ) );
|
||
|
bindings::detail::array< real_type > tmp_rwork( min_size_rwork(
|
||
|
bindings::size_column(h) ) );
|
||
|
return invoke( job, compq, compz, ilo, h, t, alpha, beta, q, z,
|
||
|
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 MatrixH, typename MatrixT, typename VectorALPHA,
|
||
|
typename VectorBETA, typename MatrixQ, typename MatrixZ >
|
||
|
static std::ptrdiff_t invoke( const char job, const char compq,
|
||
|
const char compz, const fortran_int_t ilo, MatrixH& h,
|
||
|
MatrixT& t, VectorALPHA& alpha, VectorBETA& beta, MatrixQ& q,
|
||
|
MatrixZ& z, optimal_workspace ) {
|
||
|
namespace bindings = ::boost::numeric::bindings;
|
||
|
value_type opt_size_work;
|
||
|
bindings::detail::array< real_type > tmp_rwork( min_size_rwork(
|
||
|
bindings::size_column(h) ) );
|
||
|
detail::hgeqz( job, compq, compz, bindings::size_column(h), ilo,
|
||
|
bindings::size_column(h), bindings::begin_value(h),
|
||
|
bindings::stride_major(h), bindings::begin_value(t),
|
||
|
bindings::stride_major(t), bindings::begin_value(alpha),
|
||
|
bindings::begin_value(beta), bindings::begin_value(q),
|
||
|
bindings::stride_major(q), bindings::begin_value(z),
|
||
|
bindings::stride_major(z), &opt_size_work, -1,
|
||
|
bindings::begin_value(tmp_rwork) );
|
||
|
bindings::detail::array< value_type > tmp_work(
|
||
|
traits::detail::to_int( opt_size_work ) );
|
||
|
return invoke( job, compq, compz, ilo, h, t, alpha, beta, q, z,
|
||
|
workspace( tmp_work, tmp_rwork ) );
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// 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);
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// Static member function that returns the minimum size of
|
||
|
// workspace-array rwork.
|
||
|
//
|
||
|
static std::ptrdiff_t min_size_rwork( const std::ptrdiff_t n ) {
|
||
|
return 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 hgeqz_impl classes. In the
|
||
|
// documentation, most overloads are collapsed to avoid a large number of
|
||
|
// prototypes which are very similar.
|
||
|
//
|
||
|
|
||
|
//
|
||
|
// Overloaded function for hgeqz. Its overload differs for
|
||
|
// * User-defined workspace
|
||
|
//
|
||
|
template< typename MatrixH, typename MatrixT, typename VectorALPHAR,
|
||
|
typename VectorALPHAI, typename VectorBETA, typename MatrixQ,
|
||
|
typename MatrixZ, typename Workspace >
|
||
|
inline typename boost::enable_if< detail::is_workspace< Workspace >,
|
||
|
std::ptrdiff_t >::type
|
||
|
hgeqz( const char job, const char compq, const char compz,
|
||
|
const fortran_int_t ilo, MatrixH& h, MatrixT& t,
|
||
|
VectorALPHAR& alphar, VectorALPHAI& alphai, VectorBETA& beta,
|
||
|
MatrixQ& q, MatrixZ& z, Workspace work ) {
|
||
|
return hgeqz_impl< typename bindings::value_type<
|
||
|
MatrixH >::type >::invoke( job, compq, compz, ilo, h, t, alphar,
|
||
|
alphai, beta, q, z, work );
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// Overloaded function for hgeqz. Its overload differs for
|
||
|
// * Default workspace-type (optimal)
|
||
|
//
|
||
|
template< typename MatrixH, typename MatrixT, typename VectorALPHAR,
|
||
|
typename VectorALPHAI, typename VectorBETA, typename MatrixQ,
|
||
|
typename MatrixZ >
|
||
|
inline typename boost::disable_if< detail::is_workspace< MatrixZ >,
|
||
|
std::ptrdiff_t >::type
|
||
|
hgeqz( const char job, const char compq, const char compz,
|
||
|
const fortran_int_t ilo, MatrixH& h, MatrixT& t,
|
||
|
VectorALPHAR& alphar, VectorALPHAI& alphai, VectorBETA& beta,
|
||
|
MatrixQ& q, MatrixZ& z ) {
|
||
|
return hgeqz_impl< typename bindings::value_type<
|
||
|
MatrixH >::type >::invoke( job, compq, compz, ilo, h, t, alphar,
|
||
|
alphai, beta, q, z, optimal_workspace() );
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// Overloaded function for hgeqz. Its overload differs for
|
||
|
// * User-defined workspace
|
||
|
//
|
||
|
template< typename MatrixH, typename MatrixT, typename VectorALPHA,
|
||
|
typename VectorBETA, typename MatrixQ, typename MatrixZ,
|
||
|
typename Workspace >
|
||
|
inline typename boost::enable_if< detail::is_workspace< Workspace >,
|
||
|
std::ptrdiff_t >::type
|
||
|
hgeqz( const char job, const char compq, const char compz,
|
||
|
const fortran_int_t ilo, MatrixH& h, MatrixT& t,
|
||
|
VectorALPHA& alpha, VectorBETA& beta, MatrixQ& q, MatrixZ& z,
|
||
|
Workspace work ) {
|
||
|
return hgeqz_impl< typename bindings::value_type<
|
||
|
MatrixH >::type >::invoke( job, compq, compz, ilo, h, t, alpha,
|
||
|
beta, q, z, work );
|
||
|
}
|
||
|
|
||
|
//
|
||
|
// Overloaded function for hgeqz. Its overload differs for
|
||
|
// * Default workspace-type (optimal)
|
||
|
//
|
||
|
template< typename MatrixH, typename MatrixT, typename VectorALPHA,
|
||
|
typename VectorBETA, typename MatrixQ, typename MatrixZ >
|
||
|
inline typename boost::disable_if< detail::is_workspace< MatrixZ >,
|
||
|
std::ptrdiff_t >::type
|
||
|
hgeqz( const char job, const char compq, const char compz,
|
||
|
const fortran_int_t ilo, MatrixH& h, MatrixT& t,
|
||
|
VectorALPHA& alpha, VectorBETA& beta, MatrixQ& q, MatrixZ& z ) {
|
||
|
return hgeqz_impl< typename bindings::value_type<
|
||
|
MatrixH >::type >::invoke( job, compq, compz, ilo, h, t, alpha,
|
||
|
beta, q, z, optimal_workspace() );
|
||
|
}
|
||
|
|
||
|
} // namespace lapack
|
||
|
} // namespace bindings
|
||
|
} // namespace numeric
|
||
|
} // namespace boost
|
||
|
|
||
|
#endif
|