lapack/computational/ggsvp.hpp

//
// 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_GGSVP_HPP
#define BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_GGSVP_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/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 ggsvp 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 ggsvp( const char jobu, const char jobv, const char jobq,
        const fortran_int_t m, const fortran_int_t p, const fortran_int_t n,
        float* a, const fortran_int_t lda, float* b, const fortran_int_t ldb,
        const float tola, const float tolb, fortran_int_t& k,
        fortran_int_t& l, float* u, const fortran_int_t ldu, float* v,
        const fortran_int_t ldv, float* q, const fortran_int_t ldq,
        fortran_int_t* iwork, float* tau, float* work ) {
    fortran_int_t info(0);
    LAPACK_SGGSVP( &jobu, &jobv, &jobq, &m, &p, &n, a, &lda, b, &ldb, &tola,
            &tolb, &k, &l, u, &ldu, v, &ldv, q, &ldq, iwork, tau, work,
            &info );
    return info;
}

//
// Overloaded function for dispatching to
// * netlib-compatible LAPACK backend (the default), and
// * double value-type.
//
inline std::ptrdiff_t ggsvp( const char jobu, const char jobv, const char jobq,
        const fortran_int_t m, const fortran_int_t p, const fortran_int_t n,
        double* a, const fortran_int_t lda, double* b,
        const fortran_int_t ldb, const double tola, const double tolb,
        fortran_int_t& k, fortran_int_t& l, double* u,
        const fortran_int_t ldu, double* v, const fortran_int_t ldv,
        double* q, const fortran_int_t ldq, fortran_int_t* iwork, double* tau,
        double* work ) {
    fortran_int_t info(0);
    LAPACK_DGGSVP( &jobu, &jobv, &jobq, &m, &p, &n, a, &lda, b, &ldb, &tola,
            &tolb, &k, &l, u, &ldu, v, &ldv, q, &ldq, iwork, tau, work,
            &info );
    return info;
}

//
// Overloaded function for dispatching to
// * netlib-compatible LAPACK backend (the default), and
// * complex<float> value-type.
//
inline std::ptrdiff_t ggsvp( const char jobu, const char jobv, const char jobq,
        const fortran_int_t m, const fortran_int_t p, const fortran_int_t n,
        std::complex<float>* a, const fortran_int_t lda,
        std::complex<float>* b, const fortran_int_t ldb, const float tola,
        const float tolb, fortran_int_t& k, fortran_int_t& l,
        std::complex<float>* u, const fortran_int_t ldu,
        std::complex<float>* v, const fortran_int_t ldv,
        std::complex<float>* q, const fortran_int_t ldq, fortran_int_t* iwork,
        float* rwork, std::complex<float>* tau, std::complex<float>* work ) {
    fortran_int_t info(0);
    LAPACK_CGGSVP( &jobu, &jobv, &jobq, &m, &p, &n, a, &lda, b, &ldb, &tola,
            &tolb, &k, &l, u, &ldu, v, &ldv, q, &ldq, iwork, rwork, tau, work,
            &info );
    return info;
}

//
// Overloaded function for dispatching to
// * netlib-compatible LAPACK backend (the default), and
// * complex<double> value-type.
//
inline std::ptrdiff_t ggsvp( const char jobu, const char jobv, const char jobq,
        const fortran_int_t m, const fortran_int_t p, const fortran_int_t n,
        std::complex<double>* a, const fortran_int_t lda,
        std::complex<double>* b, const fortran_int_t ldb, const double tola,
        const double tolb, fortran_int_t& k, fortran_int_t& l,
        std::complex<double>* u, const fortran_int_t ldu,
        std::complex<double>* v, const fortran_int_t ldv,
        std::complex<double>* q, const fortran_int_t ldq,
        fortran_int_t* iwork, double* rwork, std::complex<double>* tau,
        std::complex<double>* work ) {
    fortran_int_t info(0);
    LAPACK_ZGGSVP( &jobu, &jobv, &jobq, &m, &p, &n, a, &lda, b, &ldb, &tola,
            &tolb, &k, &l, u, &ldu, v, &ldv, q, &ldq, iwork, rwork, tau, work,
            &info );
    return info;
}

} // namespace detail

//
// Value-type based template class. Use this class if you need a type
// for dispatching to ggsvp.
//
template< typename Value, typename Enable = void >
struct ggsvp_impl {};

//
// This implementation is enabled if Value is a real type.
//
template< typename Value >
struct ggsvp_impl< Value, typename boost::enable_if< is_real< Value > >::type > {

    typedef Value value_type;
    typedef typename remove_imaginary< Value >::type real_type;

    //
    // Static member function for user-defined workspaces, that
    // * Deduces the required arguments for dispatching to LAPACK, and
    // * Asserts that most arguments make sense.
    //
    template< typename MatrixA, typename MatrixB, typename MatrixU,
            typename MatrixV, typename MatrixQ, typename IWORK, typename TAU,
            typename WORK >
    static std::ptrdiff_t invoke( const char jobu, const char jobv,
            const char jobq, MatrixA& a, MatrixB& b, const real_type tola,
            const real_type tolb, fortran_int_t& k, fortran_int_t& l,
            MatrixU& u, MatrixV& v, MatrixQ& q, detail::workspace3< IWORK,
            TAU, 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< 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< MatrixU >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixV >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixQ >::value) );
        BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >=
                min_size_iwork( bindings::size_column(a) ));
        BOOST_ASSERT( bindings::size(work.select(real_type())) >=
                min_size_tau( bindings::size_column(a) ));
        BOOST_ASSERT( bindings::size(work.select(real_type())) >=
                min_size_work( bindings::size_column(a),
                bindings::size_row(a), bindings::size_row(b) ));
        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 == 'N' );
        BOOST_ASSERT( jobu == 'U' || jobu == 'N' );
        BOOST_ASSERT( jobv == 'V' || jobv == 'N' );
        return detail::ggsvp( jobu, jobv, jobq, bindings::size_row(a),
                bindings::size_row(b), bindings::size_column(a),
                bindings::begin_value(a), bindings::stride_major(a),
                bindings::begin_value(b), bindings::stride_major(b), tola,
                tolb, k, l, 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(fortran_int_t())),
                bindings::begin_value(work.select(real_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 MatrixA, typename MatrixB, typename MatrixU,
            typename MatrixV, typename MatrixQ >
    static std::ptrdiff_t invoke( const char jobu, const char jobv,
            const char jobq, MatrixA& a, MatrixB& b, const real_type tola,
            const real_type tolb, fortran_int_t& k, fortran_int_t& l,
            MatrixU& u, MatrixV& v, MatrixQ& q, minimal_workspace ) {
        namespace bindings = ::boost::numeric::bindings;
        bindings::detail::array< fortran_int_t > tmp_iwork(
                min_size_iwork( bindings::size_column(a) ) );
        bindings::detail::array<
                real_type > tmp_tau( min_size_tau( bindings::size_column(a) ) );
        bindings::detail::array< real_type > tmp_work( min_size_work(
                bindings::size_column(a), bindings::size_row(a),
                bindings::size_row(b) ) );
        return invoke( jobu, jobv, jobq, a, b, tola, tolb, k, l, u, v, q,
                workspace( tmp_iwork, tmp_tau, 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 MatrixU,
            typename MatrixV, typename MatrixQ >
    static std::ptrdiff_t invoke( const char jobu, const char jobv,
            const char jobq, MatrixA& a, MatrixB& b, const real_type tola,
            const real_type tolb, fortran_int_t& k, fortran_int_t& l,
            MatrixU& u, MatrixV& v, MatrixQ& q, optimal_workspace ) {
        namespace bindings = ::boost::numeric::bindings;
        return invoke( jobu, jobv, jobq, a, b, tola, tolb, k, l, u, v, q,
                minimal_workspace() );
    }

    //
    // Static member function that returns the minimum size of
    // workspace-array iwork.
    //
    static std::ptrdiff_t min_size_iwork( const std::ptrdiff_t n ) {
        return n;
    }

    //
    // Static member function that returns the minimum size of
    // workspace-array tau.
    //
    static std::ptrdiff_t min_size_tau( const std::ptrdiff_t n ) {
        return n;
    }

    //
    // Static member function that returns the minimum size of
    // workspace-array work.
    //
    static std::ptrdiff_t min_size_work( const std::ptrdiff_t n,
            const std::ptrdiff_t m, const std::ptrdiff_t p ) {
        return std::max< std::ptrdiff_t >(3*n,std::max< std::ptrdiff_t >(m,p));
    }
};

//
// This implementation is enabled if Value is a complex type.
//
template< typename Value >
struct ggsvp_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 MatrixU,
            typename MatrixV, typename MatrixQ, typename IWORK,
            typename RWORK, typename TAU, typename WORK >
    static std::ptrdiff_t invoke( const char jobu, const char jobv,
            const char jobq, MatrixA& a, MatrixB& b, const real_type tola,
            const real_type tolb, fortran_int_t& k, fortran_int_t& l,
            MatrixU& u, MatrixV& v, MatrixQ& q, detail::workspace4< IWORK,
            RWORK, TAU, 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< 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< MatrixU >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixV >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixQ >::value) );
        BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >=
                min_size_iwork( bindings::size_column(a) ));
        BOOST_ASSERT( bindings::size(work.select(real_type())) >=
                min_size_rwork( bindings::size_column(a) ));
        BOOST_ASSERT( bindings::size(work.select(value_type())) >=
                min_size_tau( bindings::size_column(a) ));
        BOOST_ASSERT( bindings::size(work.select(value_type())) >=
                min_size_work( bindings::size_column(a),
                bindings::size_row(a), bindings::size_row(b) ));
        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 == 'N' );
        BOOST_ASSERT( jobu == 'U' || jobu == 'N' );
        BOOST_ASSERT( jobv == 'V' || jobv == 'N' );
        return detail::ggsvp( jobu, jobv, jobq, bindings::size_row(a),
                bindings::size_row(b), bindings::size_column(a),
                bindings::begin_value(a), bindings::stride_major(a),
                bindings::begin_value(b), bindings::stride_major(b), tola,
                tolb, k, l, 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(fortran_int_t())),
                bindings::begin_value(work.select(real_type())),
                bindings::begin_value(work.select(value_type())),
                bindings::begin_value(work.select(value_type())) );
    }

    //
    // Static member function that
    // * Figures out the minimal workspace requirements, and passes
    //   the results to the user-defined workspace overload of the
    //   invoke static member function
    // * Enables the unblocked algorithm (BLAS level 2)
    //
    template< typename MatrixA, typename MatrixB, typename MatrixU,
            typename MatrixV, typename MatrixQ >
    static std::ptrdiff_t invoke( const char jobu, const char jobv,
            const char jobq, MatrixA& a, MatrixB& b, const real_type tola,
            const real_type tolb, fortran_int_t& k, fortran_int_t& l,
            MatrixU& u, MatrixV& v, MatrixQ& q, minimal_workspace ) {
        namespace bindings = ::boost::numeric::bindings;
        bindings::detail::array< fortran_int_t > tmp_iwork(
                min_size_iwork( bindings::size_column(a) ) );
        bindings::detail::array< real_type > tmp_rwork( min_size_rwork(
                bindings::size_column(a) ) );
        bindings::detail::array<
                value_type > tmp_tau( min_size_tau( bindings::size_column(a) ) );
        bindings::detail::array< value_type > tmp_work( min_size_work(
                bindings::size_column(a), bindings::size_row(a),
                bindings::size_row(b) ) );
        return invoke( jobu, jobv, jobq, a, b, tola, tolb, k, l, u, v, q,
                workspace( tmp_iwork, tmp_rwork, tmp_tau, 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 MatrixU,
            typename MatrixV, typename MatrixQ >
    static std::ptrdiff_t invoke( const char jobu, const char jobv,
            const char jobq, MatrixA& a, MatrixB& b, const real_type tola,
            const real_type tolb, fortran_int_t& k, fortran_int_t& l,
            MatrixU& u, MatrixV& v, MatrixQ& q, optimal_workspace ) {
        namespace bindings = ::boost::numeric::bindings;
        return invoke( jobu, jobv, jobq, a, b, tola, tolb, k, l, u, v, q,
                minimal_workspace() );
    }

    //
    // Static member function that returns the minimum size of
    // workspace-array iwork.
    //
    static std::ptrdiff_t min_size_iwork( const std::ptrdiff_t n ) {
        return 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 2*n;
    }

    //
    // Static member function that returns the minimum size of
    // workspace-array tau.
    //
    static std::ptrdiff_t min_size_tau( const std::ptrdiff_t n ) {
        return n;
    }

    //
    // Static member function that returns the minimum size of
    // workspace-array work.
    //
    static std::ptrdiff_t min_size_work( const std::ptrdiff_t n,
            const std::ptrdiff_t m, const std::ptrdiff_t p ) {
        return std::max< std::ptrdiff_t >(3*n,std::max< std::ptrdiff_t >(m,p));
    }
};


//
// 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 ggsvp_impl classes. In the
// documentation, most overloads are collapsed to avoid a large number of
// prototypes which are very similar.
//

//
// Overloaded function for ggsvp. Its overload differs for
// * User-defined workspace
//
template< typename MatrixA, typename MatrixB, typename MatrixU,
        typename MatrixV, typename MatrixQ, typename Workspace >
inline typename boost::enable_if< detail::is_workspace< Workspace >,
        std::ptrdiff_t >::type
ggsvp( const char jobu, const char jobv, const char jobq, 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, fortran_int_t& k,
        fortran_int_t& l, MatrixU& u, MatrixV& v, MatrixQ& q,
        Workspace work ) {
    return ggsvp_impl< typename bindings::value_type<
            MatrixA >::type >::invoke( jobu, jobv, jobq, a, b, tola, tolb, k,
            l, u, v, q, work );
}

//
// Overloaded function for ggsvp. Its overload differs for
// * Default workspace-type (optimal)
//
template< typename MatrixA, typename MatrixB, typename MatrixU,
        typename MatrixV, typename MatrixQ >
inline typename boost::disable_if< detail::is_workspace< MatrixQ >,
        std::ptrdiff_t >::type
ggsvp( const char jobu, const char jobv, const char jobq, 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, fortran_int_t& k,
        fortran_int_t& l, MatrixU& u, MatrixV& v, MatrixQ& q ) {
    return ggsvp_impl< typename bindings::value_type<
            MatrixA >::type >::invoke( jobu, jobv, jobq, a, b, tola, tolb, k,
            l, u, v, q, optimal_workspace() );
}

} // namespace lapack
} // namespace bindings
} // namespace numeric
} // namespace boost

#endif