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					495 lines
				
				23 KiB
			
		
		
			
		
	
	
					495 lines
				
				23 KiB
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											7 years ago
										 
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								//
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								// Copyright (c) 2002--2010
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								// Toon Knapen, Karl Meerbergen, Kresimir Fresl,
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								// Thomas Klimpel and Rutger ter Borg
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								//
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								// Distributed under the Boost Software License, Version 1.0.
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								// (See accompanying file LICENSE_1_0.txt or copy at
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								// http://www.boost.org/LICENSE_1_0.txt)
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								//
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								// THIS FILE IS AUTOMATICALLY GENERATED
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								// PLEASE DO NOT EDIT!
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								//
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								#ifndef BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_TGSJA_HPP
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								#define BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_TGSJA_HPP
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								#include <boost/assert.hpp>
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								#include <boost/numeric/bindings/begin.hpp>
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								#include <boost/numeric/bindings/detail/array.hpp>
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								#include <boost/numeric/bindings/is_column_major.hpp>
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								#include <boost/numeric/bindings/is_complex.hpp>
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								#include <boost/numeric/bindings/is_mutable.hpp>
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								#include <boost/numeric/bindings/is_real.hpp>
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								#include <boost/numeric/bindings/lapack/workspace.hpp>
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								#include <boost/numeric/bindings/remove_imaginary.hpp>
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								#include <boost/numeric/bindings/size.hpp>
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								#include <boost/numeric/bindings/stride.hpp>
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								#include <boost/numeric/bindings/value_type.hpp>
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								#include <boost/static_assert.hpp>
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								#include <boost/type_traits/is_same.hpp>
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								#include <boost/type_traits/remove_const.hpp>
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								#include <boost/utility/enable_if.hpp>
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								//
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								// The LAPACK-backend for tgsja is the netlib-compatible backend.
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								//
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								#include <boost/numeric/bindings/lapack/detail/lapack.h>
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								#include <boost/numeric/bindings/lapack/detail/lapack_option.hpp>
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								namespace boost {
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								namespace numeric {
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								namespace bindings {
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								namespace lapack {
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								//
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								// The detail namespace contains value-type-overloaded functions that
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								// dispatch to the appropriate back-end LAPACK-routine.
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								//
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								namespace detail {
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								//
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								// Overloaded function for dispatching to
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								// * netlib-compatible LAPACK backend (the default), and
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								// * float value-type.
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								//
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								inline std::ptrdiff_t tgsja( const char jobu, const char jobv, const char jobq,
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								        const fortran_int_t m, const fortran_int_t p, const fortran_int_t n,
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								        const fortran_int_t k, const fortran_int_t l, float* a,
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								        const fortran_int_t lda, float* b, const fortran_int_t ldb,
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								        const float tola, const float tolb, float* alpha, float* beta,
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								        float* u, const fortran_int_t ldu, float* v, const fortran_int_t ldv,
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								        float* q, const fortran_int_t ldq, float* work,
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								        fortran_int_t& ncycle ) {
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								    fortran_int_t info(0);
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								    LAPACK_STGSJA( &jobu, &jobv, &jobq, &m, &p, &n, &k, &l, a, &lda, b, &ldb,
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								            &tola, &tolb, alpha, beta, u, &ldu, v, &ldv, q, &ldq, work,
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								            &ncycle, &info );
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								    return info;
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								}
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								//
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								// Overloaded function for dispatching to
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								// * netlib-compatible LAPACK backend (the default), and
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								// * double value-type.
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								//
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								inline std::ptrdiff_t tgsja( const char jobu, const char jobv, const char jobq,
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								        const fortran_int_t m, const fortran_int_t p, const fortran_int_t n,
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								        const fortran_int_t k, const fortran_int_t l, double* a,
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								        const fortran_int_t lda, double* b, const fortran_int_t ldb,
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								        const double tola, const double tolb, double* alpha, double* beta,
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								        double* u, const fortran_int_t ldu, double* v,
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								        const fortran_int_t ldv, double* q, const fortran_int_t ldq,
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								        double* work, fortran_int_t& ncycle ) {
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								    fortran_int_t info(0);
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								    LAPACK_DTGSJA( &jobu, &jobv, &jobq, &m, &p, &n, &k, &l, a, &lda, b, &ldb,
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								            &tola, &tolb, alpha, beta, u, &ldu, v, &ldv, q, &ldq, work,
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								            &ncycle, &info );
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								    return info;
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								}
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								//
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								// Overloaded function for dispatching to
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								// * netlib-compatible LAPACK backend (the default), and
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								// * complex<float> value-type.
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								//
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								inline std::ptrdiff_t tgsja( const char jobu, const char jobv, const char jobq,
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								        const fortran_int_t m, const fortran_int_t p, const fortran_int_t n,
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								        const fortran_int_t k, const fortran_int_t l, std::complex<float>* a,
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								        const fortran_int_t lda, std::complex<float>* b,
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								        const fortran_int_t ldb, const float tola, const float tolb,
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								        float* alpha, float* beta, std::complex<float>* u,
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								        const fortran_int_t ldu, std::complex<float>* v,
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								        const fortran_int_t ldv, std::complex<float>* q,
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								        const fortran_int_t ldq, std::complex<float>* work,
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								        fortran_int_t& ncycle ) {
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								    fortran_int_t info(0);
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								    LAPACK_CTGSJA( &jobu, &jobv, &jobq, &m, &p, &n, &k, &l, a, &lda, b, &ldb,
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								            &tola, &tolb, alpha, beta, u, &ldu, v, &ldv, q, &ldq, work,
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								            &ncycle, &info );
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								    return info;
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								}
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								//
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								// Overloaded function for dispatching to
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								// * netlib-compatible LAPACK backend (the default), and
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								// * complex<double> value-type.
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								//
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								inline std::ptrdiff_t tgsja( const char jobu, const char jobv, const char jobq,
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								        const fortran_int_t m, const fortran_int_t p, const fortran_int_t n,
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								        const fortran_int_t k, const fortran_int_t l, std::complex<double>* a,
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								        const fortran_int_t lda, std::complex<double>* b,
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								        const fortran_int_t ldb, const double tola, const double tolb,
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								        double* alpha, double* beta, std::complex<double>* u,
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								        const fortran_int_t ldu, std::complex<double>* v,
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								        const fortran_int_t ldv, std::complex<double>* q,
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								        const fortran_int_t ldq, std::complex<double>* work,
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								        fortran_int_t& ncycle ) {
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								    fortran_int_t info(0);
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								    LAPACK_ZTGSJA( &jobu, &jobv, &jobq, &m, &p, &n, &k, &l, a, &lda, b, &ldb,
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								            &tola, &tolb, alpha, beta, u, &ldu, v, &ldv, q, &ldq, work,
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								            &ncycle, &info );
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								    return info;
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								}
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								} // namespace detail
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								//
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								// Value-type based template class. Use this class if you need a type
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								// for dispatching to tgsja.
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								//
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								template< typename Value, typename Enable = void >
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								struct tgsja_impl {};
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								//
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								// This implementation is enabled if Value is a real type.
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								//
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								template< typename Value >
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								struct tgsja_impl< Value, typename boost::enable_if< is_real< Value > >::type > {
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								    typedef Value value_type;
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								    typedef typename remove_imaginary< Value >::type real_type;
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								    //
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								    // Static member function for user-defined workspaces, that
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								    // * Deduces the required arguments for dispatching to LAPACK, and
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								    // * Asserts that most arguments make sense.
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								    //
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								    template< typename MatrixA, typename MatrixB, typename VectorALPHA,
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								            typename VectorBETA, typename MatrixU, typename MatrixV,
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								            typename MatrixQ, typename WORK >
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								    static std::ptrdiff_t invoke( const char jobu, const char jobv,
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								            const char jobq, const fortran_int_t k,
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								            const fortran_int_t l, MatrixA& a, MatrixB& b,
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								            const real_type tola, const real_type tolb, VectorALPHA& alpha,
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								            VectorBETA& beta, MatrixU& u, MatrixV& v, MatrixQ& q,
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								            fortran_int_t& ncycle, detail::workspace1< WORK > work ) {
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								        namespace bindings = ::boost::numeric::bindings;
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								        BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixA >::value) );
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								        BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixB >::value) );
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								        BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixU >::value) );
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								        BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixV >::value) );
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								        BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixQ >::value) );
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								        BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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								                typename bindings::value_type< MatrixA >::type >::type,
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								                typename remove_const< typename bindings::value_type<
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								                MatrixB >::type >::type >::value) );
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								        BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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								                typename bindings::value_type< MatrixA >::type >::type,
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								                typename remove_const< typename bindings::value_type<
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								                VectorALPHA >::type >::type >::value) );
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								        BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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								                typename bindings::value_type< MatrixA >::type >::type,
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								                typename remove_const< typename bindings::value_type<
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								                VectorBETA >::type >::type >::value) );
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								        BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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								                typename bindings::value_type< MatrixA >::type >::type,
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								                typename remove_const< typename bindings::value_type<
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								                MatrixU >::type >::type >::value) );
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								        BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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								                typename bindings::value_type< MatrixA >::type >::type,
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								                typename remove_const< typename bindings::value_type<
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								                MatrixV >::type >::type >::value) );
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								        BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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								                typename bindings::value_type< MatrixA >::type >::type,
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								                typename remove_const< typename bindings::value_type<
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								                MatrixQ >::type >::type >::value) );
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								        BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixA >::value) );
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								        BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixB >::value) );
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								        BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorALPHA >::value) );
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								        BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorBETA >::value) );
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								        BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixU >::value) );
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								        BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixV >::value) );
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								        BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixQ >::value) );
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								        BOOST_ASSERT( bindings::size(alpha) >= bindings::size_column(a) );
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								        BOOST_ASSERT( bindings::size(work.select(real_type())) >=
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								                min_size_work( bindings::size_column(a) ));
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								        BOOST_ASSERT( bindings::size_column(a) >= 0 );
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								        BOOST_ASSERT( bindings::size_minor(a) == 1 ||
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								                bindings::stride_minor(a) == 1 );
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								        BOOST_ASSERT( bindings::size_minor(b) == 1 ||
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								                bindings::stride_minor(b) == 1 );
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								        BOOST_ASSERT( bindings::size_minor(q) == 1 ||
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								                bindings::stride_minor(q) == 1 );
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								        BOOST_ASSERT( bindings::size_minor(u) == 1 ||
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								                bindings::stride_minor(u) == 1 );
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								        BOOST_ASSERT( bindings::size_minor(v) == 1 ||
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								                bindings::stride_minor(v) == 1 );
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								        BOOST_ASSERT( bindings::size_row(a) >= 0 );
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								        BOOST_ASSERT( bindings::size_row(b) >= 0 );
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								        BOOST_ASSERT( bindings::stride_major(a) >= std::max< std::ptrdiff_t >(1,
							 | 
						||
| 
								 | 
							
								                bindings::size_row(a)) );
							 | 
						||
| 
								 | 
							
								        BOOST_ASSERT( bindings::stride_major(b) >= std::max< std::ptrdiff_t >(1,
							 | 
						||
| 
								 | 
							
								                bindings::size_row(b)) );
							 | 
						||
| 
								 | 
							
								        BOOST_ASSERT( jobq == 'Q' || jobq == 'I' || jobq == 'N' );
							 | 
						||
| 
								 | 
							
								        BOOST_ASSERT( jobu == 'U' || jobu == 'I' || jobu == 'N' );
							 | 
						||
| 
								 | 
							
								        BOOST_ASSERT( jobv == 'V' || jobv == 'I' || jobv == 'N' );
							 | 
						||
| 
								 | 
							
								        return detail::tgsja( jobu, jobv, jobq, bindings::size_row(a),
							 | 
						||
| 
								 | 
							
								                bindings::size_row(b), bindings::size_column(a), k, l,
							 | 
						||
| 
								 | 
							
								                bindings::begin_value(a), bindings::stride_major(a),
							 | 
						||
| 
								 | 
							
								                bindings::begin_value(b), bindings::stride_major(b), tola,
							 | 
						||
| 
								 | 
							
								                tolb, bindings::begin_value(alpha),
							 | 
						||
| 
								 | 
							
								                bindings::begin_value(beta), bindings::begin_value(u),
							 | 
						||
| 
								 | 
							
								                bindings::stride_major(u), bindings::begin_value(v),
							 | 
						||
| 
								 | 
							
								                bindings::stride_major(v), bindings::begin_value(q),
							 | 
						||
| 
								 | 
							
								                bindings::stride_major(q),
							 | 
						||
| 
								 | 
							
								                bindings::begin_value(work.select(real_type())), ncycle );
							 | 
						||
| 
								 | 
							
								    }
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								    //
							 | 
						||
| 
								 | 
							
								    // 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 VectorALPHA,
							 | 
						||
| 
								 | 
							
								            typename VectorBETA, typename MatrixU, typename MatrixV,
							 | 
						||
| 
								 | 
							
								            typename MatrixQ >
							 | 
						||
| 
								 | 
							
								    static std::ptrdiff_t invoke( const char jobu, const char jobv,
							 | 
						||
| 
								 | 
							
								            const char jobq, const fortran_int_t k,
							 | 
						||
| 
								 | 
							
								            const fortran_int_t l, MatrixA& a, MatrixB& b,
							 | 
						||
| 
								 | 
							
								            const real_type tola, const real_type tolb, VectorALPHA& alpha,
							 | 
						||
| 
								 | 
							
								            VectorBETA& beta, MatrixU& u, MatrixV& v, MatrixQ& q,
							 | 
						||
| 
								 | 
							
								            fortran_int_t& ncycle, minimal_workspace ) {
							 | 
						||
| 
								 | 
							
								        namespace bindings = ::boost::numeric::bindings;
							 | 
						||
| 
								 | 
							
								        bindings::detail::array< real_type > tmp_work( min_size_work(
							 | 
						||
| 
								 | 
							
								                bindings::size_column(a) ) );
							 | 
						||
| 
								 | 
							
								        return invoke( jobu, jobv, jobq, k, l, a, b, tola, tolb, alpha, beta,
							 | 
						||
| 
								 | 
							
								                u, v, q, ncycle, 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 VectorALPHA,
							 | 
						||
| 
								 | 
							
								            typename VectorBETA, typename MatrixU, typename MatrixV,
							 | 
						||
| 
								 | 
							
								            typename MatrixQ >
							 | 
						||
| 
								 | 
							
								    static std::ptrdiff_t invoke( const char jobu, const char jobv,
							 | 
						||
| 
								 | 
							
								            const char jobq, const fortran_int_t k,
							 | 
						||
| 
								 | 
							
								            const fortran_int_t l, MatrixA& a, MatrixB& b,
							 | 
						||
| 
								 | 
							
								            const real_type tola, const real_type tolb, VectorALPHA& alpha,
							 | 
						||
| 
								 | 
							
								            VectorBETA& beta, MatrixU& u, MatrixV& v, MatrixQ& q,
							 | 
						||
| 
								 | 
							
								            fortran_int_t& ncycle, optimal_workspace ) {
							 | 
						||
| 
								 | 
							
								        namespace bindings = ::boost::numeric::bindings;
							 | 
						||
| 
								 | 
							
								        return invoke( jobu, jobv, jobq, k, l, a, b, tola, tolb, alpha, beta,
							 | 
						||
| 
								 | 
							
								                u, v, q, ncycle, 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 n ) {
							 | 
						||
| 
								 | 
							
								        return 2*n;
							 | 
						||
| 
								 | 
							
								    }
							 | 
						||
| 
								 | 
							
								};
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								//
							 | 
						||
| 
								 | 
							
								// This implementation is enabled if Value is a complex type.
							 | 
						||
| 
								 | 
							
								//
							 | 
						||
| 
								 | 
							
								template< typename Value >
							 | 
						||
| 
								 | 
							
								struct tgsja_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 MatrixA, typename MatrixB, typename VectorALPHA,
							 | 
						||
| 
								 | 
							
								            typename VectorBETA, typename MatrixU, typename MatrixV,
							 | 
						||
| 
								 | 
							
								            typename MatrixQ, typename WORK >
							 | 
						||
| 
								 | 
							
								    static std::ptrdiff_t invoke( const char jobu, const char jobv,
							 | 
						||
| 
								 | 
							
								            const char jobq, const fortran_int_t k,
							 | 
						||
| 
								 | 
							
								            const fortran_int_t l, MatrixA& a, MatrixB& b,
							 | 
						||
| 
								 | 
							
								            const real_type tola, const real_type tolb, VectorALPHA& alpha,
							 | 
						||
| 
								 | 
							
								            VectorBETA& beta, MatrixU& u, MatrixV& v, MatrixQ& q,
							 | 
						||
| 
								 | 
							
								            fortran_int_t& ncycle, 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< MatrixU >::value) );
							 | 
						||
| 
								 | 
							
								        BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixV >::value) );
							 | 
						||
| 
								 | 
							
								        BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixQ >::value) );
							 | 
						||
| 
								 | 
							
								        BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
							 | 
						||
| 
								 | 
							
								                typename bindings::value_type< VectorALPHA >::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<
							 | 
						||
| 
								 | 
							
								                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<
							 | 
						||
| 
								 | 
							
								                MatrixU >::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<
							 | 
						||
| 
								 | 
							
								                MatrixV >::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( (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< MatrixU >::value) );
							 | 
						||
| 
								 | 
							
								        BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixV >::value) );
							 | 
						||
| 
								 | 
							
								        BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixQ >::value) );
							 | 
						||
| 
								 | 
							
								        BOOST_ASSERT( bindings::size(alpha) >= bindings::size_column(a) );
							 | 
						||
| 
								 | 
							
								        BOOST_ASSERT( bindings::size(work.select(value_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(u) == 1 ||
							 | 
						||
| 
								 | 
							
								                bindings::stride_minor(u) == 1 );
							 | 
						||
| 
								 | 
							
								        BOOST_ASSERT( bindings::size_minor(v) == 1 ||
							 | 
						||
| 
								 | 
							
								                bindings::stride_minor(v) == 1 );
							 | 
						||
| 
								 | 
							
								        BOOST_ASSERT( bindings::size_row(a) >= 0 );
							 | 
						||
| 
								 | 
							
								        BOOST_ASSERT( bindings::size_row(b) >= 0 );
							 | 
						||
| 
								 | 
							
								        BOOST_ASSERT( bindings::stride_major(a) >= std::max< std::ptrdiff_t >(1,
							 | 
						||
| 
								 | 
							
								                bindings::size_row(a)) );
							 | 
						||
| 
								 | 
							
								        BOOST_ASSERT( bindings::stride_major(b) >= std::max< std::ptrdiff_t >(1,
							 | 
						||
| 
								 | 
							
								                bindings::size_row(b)) );
							 | 
						||
| 
								 | 
							
								        BOOST_ASSERT( jobq == 'Q' || jobq == 'I' || jobq == 'N' );
							 | 
						||
| 
								 | 
							
								        BOOST_ASSERT( jobu == 'U' || jobu == 'I' || jobu == 'N' );
							 | 
						||
| 
								 | 
							
								        BOOST_ASSERT( jobv == 'V' || jobv == 'I' || jobv == 'N' );
							 | 
						||
| 
								 | 
							
								        return detail::tgsja( jobu, jobv, jobq, bindings::size_row(a),
							 | 
						||
| 
								 | 
							
								                bindings::size_row(b), bindings::size_column(a), k, l,
							 | 
						||
| 
								 | 
							
								                bindings::begin_value(a), bindings::stride_major(a),
							 | 
						||
| 
								 | 
							
								                bindings::begin_value(b), bindings::stride_major(b), tola,
							 | 
						||
| 
								 | 
							
								                tolb, bindings::begin_value(alpha),
							 | 
						||
| 
								 | 
							
								                bindings::begin_value(beta), bindings::begin_value(u),
							 | 
						||
| 
								 | 
							
								                bindings::stride_major(u), bindings::begin_value(v),
							 | 
						||
| 
								 | 
							
								                bindings::stride_major(v), bindings::begin_value(q),
							 | 
						||
| 
								 | 
							
								                bindings::stride_major(q),
							 | 
						||
| 
								 | 
							
								                bindings::begin_value(work.select(value_type())), ncycle );
							 | 
						||
| 
								 | 
							
								    }
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								    //
							 | 
						||
| 
								 | 
							
								    // 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 VectorALPHA,
							 | 
						||
| 
								 | 
							
								            typename VectorBETA, typename MatrixU, typename MatrixV,
							 | 
						||
| 
								 | 
							
								            typename MatrixQ >
							 | 
						||
| 
								 | 
							
								    static std::ptrdiff_t invoke( const char jobu, const char jobv,
							 | 
						||
| 
								 | 
							
								            const char jobq, const fortran_int_t k,
							 | 
						||
| 
								 | 
							
								            const fortran_int_t l, MatrixA& a, MatrixB& b,
							 | 
						||
| 
								 | 
							
								            const real_type tola, const real_type tolb, VectorALPHA& alpha,
							 | 
						||
| 
								 | 
							
								            VectorBETA& beta, MatrixU& u, MatrixV& v, MatrixQ& q,
							 | 
						||
| 
								 | 
							
								            fortran_int_t& ncycle, minimal_workspace ) {
							 | 
						||
| 
								 | 
							
								        namespace bindings = ::boost::numeric::bindings;
							 | 
						||
| 
								 | 
							
								        bindings::detail::array< value_type > tmp_work( min_size_work(
							 | 
						||
| 
								 | 
							
								                bindings::size_column(a) ) );
							 | 
						||
| 
								 | 
							
								        return invoke( jobu, jobv, jobq, k, l, a, b, tola, tolb, alpha, beta,
							 | 
						||
| 
								 | 
							
								                u, v, q, ncycle, 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 VectorALPHA,
							 | 
						||
| 
								 | 
							
								            typename VectorBETA, typename MatrixU, typename MatrixV,
							 | 
						||
| 
								 | 
							
								            typename MatrixQ >
							 | 
						||
| 
								 | 
							
								    static std::ptrdiff_t invoke( const char jobu, const char jobv,
							 | 
						||
| 
								 | 
							
								            const char jobq, const fortran_int_t k,
							 | 
						||
| 
								 | 
							
								            const fortran_int_t l, MatrixA& a, MatrixB& b,
							 | 
						||
| 
								 | 
							
								            const real_type tola, const real_type tolb, VectorALPHA& alpha,
							 | 
						||
| 
								 | 
							
								            VectorBETA& beta, MatrixU& u, MatrixV& v, MatrixQ& q,
							 | 
						||
| 
								 | 
							
								            fortran_int_t& ncycle, optimal_workspace ) {
							 | 
						||
| 
								 | 
							
								        namespace bindings = ::boost::numeric::bindings;
							 | 
						||
| 
								 | 
							
								        return invoke( jobu, jobv, jobq, k, l, a, b, tola, tolb, alpha, beta,
							 | 
						||
| 
								 | 
							
								                u, v, q, ncycle, 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 n ) {
							 | 
						||
| 
								 | 
							
								        return 2*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 tgsja_impl classes. In the 
							 | 
						||
| 
								 | 
							
								// documentation, most overloads are collapsed to avoid a large number of
							 | 
						||
| 
								 | 
							
								// prototypes which are very similar.
							 | 
						||
| 
								 | 
							
								//
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								//
							 | 
						||
| 
								 | 
							
								// Overloaded function for tgsja. Its overload differs for
							 | 
						||
| 
								 | 
							
								// * User-defined workspace
							 | 
						||
| 
								 | 
							
								//
							 | 
						||
| 
								 | 
							
								template< typename MatrixA, typename MatrixB, typename VectorALPHA,
							 | 
						||
| 
								 | 
							
								        typename VectorBETA, typename MatrixU, typename MatrixV,
							 | 
						||
| 
								 | 
							
								        typename MatrixQ, typename Workspace >
							 | 
						||
| 
								 | 
							
								inline typename boost::enable_if< detail::is_workspace< Workspace >,
							 | 
						||
| 
								 | 
							
								        std::ptrdiff_t >::type
							 | 
						||
| 
								 | 
							
								tgsja( const char jobu, const char jobv, const char jobq,
							 | 
						||
| 
								 | 
							
								        const fortran_int_t k, const fortran_int_t l, MatrixA& a,
							 | 
						||
| 
								 | 
							
								        MatrixB& b, const typename remove_imaginary<
							 | 
						||
| 
								 | 
							
								        typename bindings::value_type< MatrixA >::type >::type tola,
							 | 
						||
| 
								 | 
							
								        const typename remove_imaginary< typename bindings::value_type<
							 | 
						||
| 
								 | 
							
								        MatrixA >::type >::type tolb, VectorALPHA& alpha, VectorBETA& beta,
							 | 
						||
| 
								 | 
							
								        MatrixU& u, MatrixV& v, MatrixQ& q, fortran_int_t& ncycle,
							 | 
						||
| 
								 | 
							
								        Workspace work ) {
							 | 
						||
| 
								 | 
							
								    return tgsja_impl< typename bindings::value_type<
							 | 
						||
| 
								 | 
							
								            MatrixA >::type >::invoke( jobu, jobv, jobq, k, l, a, b, tola,
							 | 
						||
| 
								 | 
							
								            tolb, alpha, beta, u, v, q, ncycle, work );
							 | 
						||
| 
								 | 
							
								}
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								//
							 | 
						||
| 
								 | 
							
								// Overloaded function for tgsja. Its overload differs for
							 | 
						||
| 
								 | 
							
								// * Default workspace-type (optimal)
							 | 
						||
| 
								 | 
							
								//
							 | 
						||
| 
								 | 
							
								template< typename MatrixA, typename MatrixB, typename VectorALPHA,
							 | 
						||
| 
								 | 
							
								        typename VectorBETA, typename MatrixU, typename MatrixV,
							 | 
						||
| 
								 | 
							
								        typename MatrixQ >
							 | 
						||
| 
								 | 
							
								inline typename boost::disable_if< detail::is_workspace< MatrixQ >,
							 | 
						||
| 
								 | 
							
								        std::ptrdiff_t >::type
							 | 
						||
| 
								 | 
							
								tgsja( const char jobu, const char jobv, const char jobq,
							 | 
						||
| 
								 | 
							
								        const fortran_int_t k, const fortran_int_t l, MatrixA& a,
							 | 
						||
| 
								 | 
							
								        MatrixB& b, const typename remove_imaginary<
							 | 
						||
| 
								 | 
							
								        typename bindings::value_type< MatrixA >::type >::type tola,
							 | 
						||
| 
								 | 
							
								        const typename remove_imaginary< typename bindings::value_type<
							 | 
						||
| 
								 | 
							
								        MatrixA >::type >::type tolb, VectorALPHA& alpha, VectorBETA& beta,
							 | 
						||
| 
								 | 
							
								        MatrixU& u, MatrixV& v, MatrixQ& q, fortran_int_t& ncycle ) {
							 | 
						||
| 
								 | 
							
								    return tgsja_impl< typename bindings::value_type<
							 | 
						||
| 
								 | 
							
								            MatrixA >::type >::invoke( jobu, jobv, jobq, k, l, a, b, tola,
							 | 
						||
| 
								 | 
							
								            tolb, alpha, beta, u, v, q, ncycle, optimal_workspace() );
							 | 
						||
| 
								 | 
							
								}
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								} // namespace lapack
							 | 
						||
| 
								 | 
							
								} // namespace bindings
							 | 
						||
| 
								 | 
							
								} // namespace numeric
							 | 
						||
| 
								 | 
							
								} // namespace boost
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								#endif
							 |