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.
621 lines
30 KiB
621 lines
30 KiB
// |
|
// 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_TGSEN_HPP |
|
#define BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_TGSEN_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 tgsen 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 tgsen( const fortran_int_t ijob, |
|
const fortran_bool_t wantq, const fortran_bool_t wantz, |
|
const fortran_bool_t* select, const fortran_int_t n, float* a, |
|
const fortran_int_t lda, float* b, const fortran_int_t ldb, |
|
float* alphar, float* alphai, float* beta, float* q, |
|
const fortran_int_t ldq, float* z, const fortran_int_t ldz, |
|
fortran_int_t& m, float& pl, float& pr, float* dif, float* work, |
|
const fortran_int_t lwork, fortran_int_t* iwork, |
|
const fortran_int_t liwork ) { |
|
fortran_int_t info(0); |
|
LAPACK_STGSEN( &ijob, &wantq, &wantz, select, &n, a, &lda, b, &ldb, |
|
alphar, alphai, beta, q, &ldq, z, &ldz, &m, &pl, &pr, dif, work, |
|
&lwork, iwork, &liwork, &info ); |
|
return info; |
|
} |
|
|
|
// |
|
// Overloaded function for dispatching to |
|
// * netlib-compatible LAPACK backend (the default), and |
|
// * double value-type. |
|
// |
|
inline std::ptrdiff_t tgsen( const fortran_int_t ijob, |
|
const fortran_bool_t wantq, const fortran_bool_t wantz, |
|
const fortran_bool_t* select, const fortran_int_t n, double* a, |
|
const fortran_int_t lda, double* b, const fortran_int_t ldb, |
|
double* alphar, double* alphai, double* beta, double* q, |
|
const fortran_int_t ldq, double* z, const fortran_int_t ldz, |
|
fortran_int_t& m, double& pl, double& pr, double* dif, double* work, |
|
const fortran_int_t lwork, fortran_int_t* iwork, |
|
const fortran_int_t liwork ) { |
|
fortran_int_t info(0); |
|
LAPACK_DTGSEN( &ijob, &wantq, &wantz, select, &n, a, &lda, b, &ldb, |
|
alphar, alphai, beta, q, &ldq, z, &ldz, &m, &pl, &pr, dif, work, |
|
&lwork, iwork, &liwork, &info ); |
|
return info; |
|
} |
|
|
|
// |
|
// Overloaded function for dispatching to |
|
// * netlib-compatible LAPACK backend (the default), and |
|
// * complex<float> value-type. |
|
// |
|
inline std::ptrdiff_t tgsen( const fortran_int_t ijob, |
|
const fortran_bool_t wantq, const fortran_bool_t wantz, |
|
const fortran_bool_t* select, 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>* alpha, std::complex<float>* beta, |
|
std::complex<float>* q, const fortran_int_t ldq, |
|
std::complex<float>* z, const fortran_int_t ldz, fortran_int_t& m, |
|
float& pl, float& pr, float* dif, std::complex<float>* work, |
|
const fortran_int_t lwork, fortran_int_t* iwork, |
|
const fortran_int_t liwork ) { |
|
fortran_int_t info(0); |
|
LAPACK_CTGSEN( &ijob, &wantq, &wantz, select, &n, a, &lda, b, &ldb, alpha, |
|
beta, q, &ldq, z, &ldz, &m, &pl, &pr, dif, work, &lwork, iwork, |
|
&liwork, &info ); |
|
return info; |
|
} |
|
|
|
// |
|
// Overloaded function for dispatching to |
|
// * netlib-compatible LAPACK backend (the default), and |
|
// * complex<double> value-type. |
|
// |
|
inline std::ptrdiff_t tgsen( const fortran_int_t ijob, |
|
const fortran_bool_t wantq, const fortran_bool_t wantz, |
|
const fortran_bool_t* select, 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>* alpha, std::complex<double>* beta, |
|
std::complex<double>* q, const fortran_int_t ldq, |
|
std::complex<double>* z, const fortran_int_t ldz, fortran_int_t& m, |
|
double& pl, double& pr, double* dif, std::complex<double>* work, |
|
const fortran_int_t lwork, fortran_int_t* iwork, |
|
const fortran_int_t liwork ) { |
|
fortran_int_t info(0); |
|
LAPACK_ZTGSEN( &ijob, &wantq, &wantz, select, &n, a, &lda, b, &ldb, alpha, |
|
beta, q, &ldq, z, &ldz, &m, &pl, &pr, dif, work, &lwork, iwork, |
|
&liwork, &info ); |
|
return info; |
|
} |
|
|
|
} // namespace detail |
|
|
|
// |
|
// Value-type based template class. Use this class if you need a type |
|
// for dispatching to tgsen. |
|
// |
|
template< typename Value, typename Enable = void > |
|
struct tgsen_impl {}; |
|
|
|
// |
|
// This implementation is enabled if Value is a real type. |
|
// |
|
template< typename Value > |
|
struct tgsen_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 VectorSELECT, typename MatrixA, typename MatrixB, |
|
typename VectorALPHAR, typename VectorALPHAI, typename VectorBETA, |
|
typename MatrixQ, typename MatrixZ, typename VectorDIF, |
|
typename WORK, typename IWORK > |
|
static std::ptrdiff_t invoke( const fortran_int_t ijob, |
|
const fortran_bool_t wantq, const fortran_bool_t wantz, |
|
const VectorSELECT& select, MatrixA& a, MatrixB& b, |
|
VectorALPHAR& alphar, VectorALPHAI& alphai, VectorBETA& beta, |
|
MatrixQ& q, MatrixZ& z, fortran_int_t& m, real_type& pl, |
|
real_type& pr, VectorDIF& dif, detail::workspace2< WORK, |
|
IWORK > 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< |
|
VectorALPHAR >::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< |
|
VectorALPHAI >::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< |
|
VectorBETA >::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( (boost::is_same< typename remove_const< |
|
typename bindings::value_type< MatrixA >::type >::type, |
|
typename remove_const< typename bindings::value_type< |
|
VectorDIF >::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< 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_STATIC_ASSERT( (bindings::is_mutable< VectorDIF >::value) ); |
|
BOOST_ASSERT( bindings::size(alphai) >= bindings::size_column(a) ); |
|
BOOST_ASSERT( bindings::size(alphar) >= bindings::size_column(a) ); |
|
BOOST_ASSERT( bindings::size(select) >= bindings::size_column(a) ); |
|
BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >= |
|
min_size_iwork( ijob, bindings::size_column(a), m )); |
|
BOOST_ASSERT( bindings::size(work.select(real_type())) >= |
|
min_size_work( ijob, bindings::size_column(a), m )); |
|
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::tgsen( ijob, wantq, wantz, |
|
bindings::begin_value(select), bindings::size_column(a), |
|
bindings::begin_value(a), bindings::stride_major(a), |
|
bindings::begin_value(b), bindings::stride_major(b), |
|
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), m, pl, pr, |
|
bindings::begin_value(dif), |
|
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 VectorSELECT, typename MatrixA, typename MatrixB, |
|
typename VectorALPHAR, typename VectorALPHAI, typename VectorBETA, |
|
typename MatrixQ, typename MatrixZ, typename VectorDIF > |
|
static std::ptrdiff_t invoke( const fortran_int_t ijob, |
|
const fortran_bool_t wantq, const fortran_bool_t wantz, |
|
const VectorSELECT& select, MatrixA& a, MatrixB& b, |
|
VectorALPHAR& alphar, VectorALPHAI& alphai, VectorBETA& beta, |
|
MatrixQ& q, MatrixZ& z, fortran_int_t& m, real_type& pl, |
|
real_type& pr, VectorDIF& dif, minimal_workspace ) { |
|
namespace bindings = ::boost::numeric::bindings; |
|
bindings::detail::array< real_type > tmp_work( min_size_work( ijob, |
|
bindings::size_column(a), m ) ); |
|
bindings::detail::array< fortran_int_t > tmp_iwork( |
|
min_size_iwork( ijob, bindings::size_column(a), m ) ); |
|
return invoke( ijob, wantq, wantz, select, a, b, alphar, alphai, beta, |
|
q, z, m, pl, pr, dif, 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 VectorSELECT, typename MatrixA, typename MatrixB, |
|
typename VectorALPHAR, typename VectorALPHAI, typename VectorBETA, |
|
typename MatrixQ, typename MatrixZ, typename VectorDIF > |
|
static std::ptrdiff_t invoke( const fortran_int_t ijob, |
|
const fortran_bool_t wantq, const fortran_bool_t wantz, |
|
const VectorSELECT& select, MatrixA& a, MatrixB& b, |
|
VectorALPHAR& alphar, VectorALPHAI& alphai, VectorBETA& beta, |
|
MatrixQ& q, MatrixZ& z, fortran_int_t& m, real_type& pl, |
|
real_type& pr, VectorDIF& dif, optimal_workspace ) { |
|
namespace bindings = ::boost::numeric::bindings; |
|
real_type opt_size_work; |
|
fortran_int_t opt_size_iwork; |
|
detail::tgsen( ijob, wantq, wantz, bindings::begin_value(select), |
|
bindings::size_column(a), bindings::begin_value(a), |
|
bindings::stride_major(a), bindings::begin_value(b), |
|
bindings::stride_major(b), 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), m, pl, |
|
pr, bindings::begin_value(dif), &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( ijob, wantq, wantz, select, a, b, alphar, alphai, beta, |
|
q, z, m, pl, pr, dif, 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 std::ptrdiff_t ijob, |
|
const std::ptrdiff_t n, fortran_int_t& m ) { |
|
if ( ijob == 1 || ijob == 2 || ijob == 4 ) |
|
return std::max< std::ptrdiff_t >(4*n+16, 2*m*(n-m)); |
|
else if ( ijob == 3 || ijob == 5 ) |
|
return std::max< std::ptrdiff_t >(4*n+16, 4*m*(n-m)); |
|
else // ijob == 0 |
|
return std::max< std::ptrdiff_t >(1, 4*n+16); |
|
} |
|
|
|
// |
|
// Static member function that returns the minimum size of |
|
// workspace-array iwork. |
|
// |
|
static std::ptrdiff_t min_size_iwork( const std::ptrdiff_t ijob, |
|
const std::ptrdiff_t n, fortran_int_t& m ) { |
|
if ( ijob == 1 || ijob == 2 || ijob == 4 ) |
|
return std::max< std::ptrdiff_t >(1, n+6); |
|
else if ( ijob == 3 || ijob == 5 ) |
|
return std::max< std::ptrdiff_t >(2*m*(n-m), n+6); |
|
else // ijob == 0 |
|
return 1; |
|
} |
|
}; |
|
|
|
// |
|
// This implementation is enabled if Value is a complex type. |
|
// |
|
template< typename Value > |
|
struct tgsen_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 VectorSELECT, typename MatrixA, typename MatrixB, |
|
typename VectorALPHA, typename VectorBETA, typename MatrixQ, |
|
typename MatrixZ, typename VectorDIF, typename WORK, |
|
typename IWORK > |
|
static std::ptrdiff_t invoke( const fortran_int_t ijob, |
|
const fortran_bool_t wantq, const fortran_bool_t wantz, |
|
const VectorSELECT& select, MatrixA& a, MatrixB& b, |
|
VectorALPHA& alpha, VectorBETA& beta, MatrixQ& q, MatrixZ& z, |
|
fortran_int_t& m, real_type& pl, real_type& pr, |
|
VectorDIF& dif, detail::workspace2< WORK, IWORK > 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< |
|
VectorALPHA >::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< |
|
VectorBETA >::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< 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_STATIC_ASSERT( (bindings::is_mutable< VectorDIF >::value) ); |
|
BOOST_ASSERT( bindings::size(alpha) >= bindings::size_column(a) ); |
|
BOOST_ASSERT( bindings::size(select) >= bindings::size_column(a) ); |
|
BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >= |
|
min_size_iwork( ijob, bindings::size_column(a), m )); |
|
BOOST_ASSERT( bindings::size(work.select(value_type())) >= |
|
min_size_work( ijob, bindings::size_column(a), m )); |
|
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::tgsen( ijob, wantq, wantz, |
|
bindings::begin_value(select), bindings::size_column(a), |
|
bindings::begin_value(a), bindings::stride_major(a), |
|
bindings::begin_value(b), bindings::stride_major(b), |
|
bindings::begin_value(alpha), bindings::begin_value(beta), |
|
bindings::begin_value(q), bindings::stride_major(q), |
|
bindings::begin_value(z), bindings::stride_major(z), m, pl, |
|
pr, bindings::begin_value(dif), |
|
bindings::begin_value(work.select(value_type())), |
|
bindings::size(work.select(value_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 VectorSELECT, typename MatrixA, typename MatrixB, |
|
typename VectorALPHA, typename VectorBETA, typename MatrixQ, |
|
typename MatrixZ, typename VectorDIF > |
|
static std::ptrdiff_t invoke( const fortran_int_t ijob, |
|
const fortran_bool_t wantq, const fortran_bool_t wantz, |
|
const VectorSELECT& select, MatrixA& a, MatrixB& b, |
|
VectorALPHA& alpha, VectorBETA& beta, MatrixQ& q, MatrixZ& z, |
|
fortran_int_t& m, real_type& pl, real_type& pr, |
|
VectorDIF& dif, minimal_workspace ) { |
|
namespace bindings = ::boost::numeric::bindings; |
|
bindings::detail::array< value_type > tmp_work( min_size_work( ijob, |
|
bindings::size_column(a), m ) ); |
|
bindings::detail::array< fortran_int_t > tmp_iwork( |
|
min_size_iwork( ijob, bindings::size_column(a), m ) ); |
|
return invoke( ijob, wantq, wantz, select, a, b, alpha, beta, q, z, m, |
|
pl, pr, dif, 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 VectorSELECT, typename MatrixA, typename MatrixB, |
|
typename VectorALPHA, typename VectorBETA, typename MatrixQ, |
|
typename MatrixZ, typename VectorDIF > |
|
static std::ptrdiff_t invoke( const fortran_int_t ijob, |
|
const fortran_bool_t wantq, const fortran_bool_t wantz, |
|
const VectorSELECT& select, MatrixA& a, MatrixB& b, |
|
VectorALPHA& alpha, VectorBETA& beta, MatrixQ& q, MatrixZ& z, |
|
fortran_int_t& m, real_type& pl, real_type& pr, |
|
VectorDIF& dif, optimal_workspace ) { |
|
namespace bindings = ::boost::numeric::bindings; |
|
value_type opt_size_work; |
|
fortran_int_t opt_size_iwork; |
|
detail::tgsen( ijob, wantq, wantz, bindings::begin_value(select), |
|
bindings::size_column(a), bindings::begin_value(a), |
|
bindings::stride_major(a), bindings::begin_value(b), |
|
bindings::stride_major(b), bindings::begin_value(alpha), |
|
bindings::begin_value(beta), bindings::begin_value(q), |
|
bindings::stride_major(q), bindings::begin_value(z), |
|
bindings::stride_major(z), m, pl, pr, |
|
bindings::begin_value(dif), &opt_size_work, -1, |
|
&opt_size_iwork, -1 ); |
|
bindings::detail::array< value_type > tmp_work( |
|
traits::detail::to_int( opt_size_work ) ); |
|
bindings::detail::array< fortran_int_t > tmp_iwork( |
|
opt_size_iwork ); |
|
return invoke( ijob, wantq, wantz, select, a, b, alpha, beta, q, z, m, |
|
pl, pr, dif, 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 std::ptrdiff_t ijob, |
|
const std::ptrdiff_t n, fortran_int_t& m ) { |
|
if ( ijob == 1 || ijob == 2 || ijob == 4 ) |
|
return std::max< std::ptrdiff_t >(1, 2*m*(n-m)); |
|
else if ( ijob == 3 || ijob == 5 ) |
|
return std::max< std::ptrdiff_t >(1, 4*m*(n-m)); |
|
else // ijob == 0 |
|
return 1; |
|
} |
|
|
|
// |
|
// Static member function that returns the minimum size of |
|
// workspace-array iwork. |
|
// |
|
static std::ptrdiff_t min_size_iwork( const std::ptrdiff_t ijob, |
|
const std::ptrdiff_t n, fortran_int_t& m ) { |
|
if ( ijob == 1 || ijob == 2 || ijob == 4 ) |
|
return std::max< std::ptrdiff_t >(1, n+2); |
|
else if ( ijob == 3 || ijob == 5 ) |
|
return std::max< std::ptrdiff_t >(2*m*(n-m), n+2); |
|
else // ijob == 0 |
|
return 1; |
|
} |
|
}; |
|
|
|
|
|
// |
|
// 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 tgsen_impl classes. In the |
|
// documentation, most overloads are collapsed to avoid a large number of |
|
// prototypes which are very similar. |
|
// |
|
|
|
// |
|
// Overloaded function for tgsen. Its overload differs for |
|
// * User-defined workspace |
|
// |
|
template< typename VectorSELECT, typename MatrixA, typename MatrixB, |
|
typename VectorALPHAR, typename VectorALPHAI, typename VectorBETA, |
|
typename MatrixQ, typename MatrixZ, typename VectorDIF, |
|
typename Workspace > |
|
inline typename boost::enable_if< detail::is_workspace< Workspace >, |
|
std::ptrdiff_t >::type |
|
tgsen( const fortran_int_t ijob, const fortran_bool_t wantq, |
|
const fortran_bool_t wantz, const VectorSELECT& select, MatrixA& a, |
|
MatrixB& b, VectorALPHAR& alphar, VectorALPHAI& alphai, |
|
VectorBETA& beta, MatrixQ& q, MatrixZ& z, fortran_int_t& m, |
|
typename remove_imaginary< typename bindings::value_type< |
|
MatrixA >::type >::type& pl, typename remove_imaginary< |
|
typename bindings::value_type< MatrixA >::type >::type& pr, |
|
VectorDIF& dif, Workspace work ) { |
|
return tgsen_impl< typename bindings::value_type< |
|
MatrixA >::type >::invoke( ijob, wantq, wantz, select, a, b, |
|
alphar, alphai, beta, q, z, m, pl, pr, dif, work ); |
|
} |
|
|
|
// |
|
// Overloaded function for tgsen. Its overload differs for |
|
// * Default workspace-type (optimal) |
|
// |
|
template< typename VectorSELECT, typename MatrixA, typename MatrixB, |
|
typename VectorALPHAR, typename VectorALPHAI, typename VectorBETA, |
|
typename MatrixQ, typename MatrixZ, typename VectorDIF > |
|
inline typename boost::disable_if< detail::is_workspace< VectorDIF >, |
|
std::ptrdiff_t >::type |
|
tgsen( const fortran_int_t ijob, const fortran_bool_t wantq, |
|
const fortran_bool_t wantz, const VectorSELECT& select, MatrixA& a, |
|
MatrixB& b, VectorALPHAR& alphar, VectorALPHAI& alphai, |
|
VectorBETA& beta, MatrixQ& q, MatrixZ& z, fortran_int_t& m, |
|
typename remove_imaginary< typename bindings::value_type< |
|
MatrixA >::type >::type& pl, typename remove_imaginary< |
|
typename bindings::value_type< MatrixA >::type >::type& pr, |
|
VectorDIF& dif ) { |
|
return tgsen_impl< typename bindings::value_type< |
|
MatrixA >::type >::invoke( ijob, wantq, wantz, select, a, b, |
|
alphar, alphai, beta, q, z, m, pl, pr, dif, optimal_workspace() ); |
|
} |
|
|
|
// |
|
// Overloaded function for tgsen. Its overload differs for |
|
// * User-defined workspace |
|
// |
|
template< typename VectorSELECT, typename MatrixA, typename MatrixB, |
|
typename VectorALPHA, typename VectorBETA, typename MatrixQ, |
|
typename MatrixZ, typename VectorDIF, typename Workspace > |
|
inline typename boost::enable_if< detail::is_workspace< Workspace >, |
|
std::ptrdiff_t >::type |
|
tgsen( const fortran_int_t ijob, const fortran_bool_t wantq, |
|
const fortran_bool_t wantz, const VectorSELECT& select, MatrixA& a, |
|
MatrixB& b, VectorALPHA& alpha, VectorBETA& beta, MatrixQ& q, |
|
MatrixZ& z, fortran_int_t& m, typename remove_imaginary< |
|
typename bindings::value_type< MatrixA >::type >::type& pl, |
|
typename remove_imaginary< typename bindings::value_type< |
|
MatrixA >::type >::type& pr, VectorDIF& dif, Workspace work ) { |
|
return tgsen_impl< typename bindings::value_type< |
|
MatrixA >::type >::invoke( ijob, wantq, wantz, select, a, b, |
|
alpha, beta, q, z, m, pl, pr, dif, work ); |
|
} |
|
|
|
// |
|
// Overloaded function for tgsen. Its overload differs for |
|
// * Default workspace-type (optimal) |
|
// |
|
template< typename VectorSELECT, typename MatrixA, typename MatrixB, |
|
typename VectorALPHA, typename VectorBETA, typename MatrixQ, |
|
typename MatrixZ, typename VectorDIF > |
|
inline typename boost::disable_if< detail::is_workspace< VectorDIF >, |
|
std::ptrdiff_t >::type |
|
tgsen( const fortran_int_t ijob, const fortran_bool_t wantq, |
|
const fortran_bool_t wantz, const VectorSELECT& select, MatrixA& a, |
|
MatrixB& b, VectorALPHA& alpha, VectorBETA& beta, MatrixQ& q, |
|
MatrixZ& z, fortran_int_t& m, typename remove_imaginary< |
|
typename bindings::value_type< MatrixA >::type >::type& pl, |
|
typename remove_imaginary< typename bindings::value_type< |
|
MatrixA >::type >::type& pr, VectorDIF& dif ) { |
|
return tgsen_impl< typename bindings::value_type< |
|
MatrixA >::type >::invoke( ijob, wantq, wantz, select, a, b, |
|
alpha, beta, q, z, m, pl, pr, dif, optimal_workspace() ); |
|
} |
|
|
|
} // namespace lapack |
|
} // namespace bindings |
|
} // namespace numeric |
|
} // namespace boost |
|
|
|
#endif
|
|
|