//
// 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_TGSJA_HPP
#define BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_TGSJA_HPP

#include <boost/assert.hpp>
#include <Core/Utils/numeric/bindings/begin.hpp>
#include <Core/Utils/numeric/bindings/detail/array.hpp>
#include <Core/Utils/numeric/bindings/is_column_major.hpp>
#include <Core/Utils/numeric/bindings/is_complex.hpp>
#include <Core/Utils/numeric/bindings/is_mutable.hpp>
#include <Core/Utils/numeric/bindings/is_real.hpp>
#include <Core/Utils/numeric/bindings/lapack/workspace.hpp>
#include <Core/Utils/numeric/bindings/remove_imaginary.hpp>
#include <Core/Utils/numeric/bindings/size.hpp>
#include <Core/Utils/numeric/bindings/stride.hpp>
#include <Core/Utils/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 tgsja is the netlib-compatible backend.
//
#include <Core/Utils/numeric/bindings/lapack/detail/lapack.h>
#include <Core/Utils/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 tgsja(const char jobu, const char jobv, const char jobq,
                                                const fortran_int_t m, const fortran_int_t p, const fortran_int_t n,
                                                const fortran_int_t k, const fortran_int_t l, float* a,
                                                const fortran_int_t lda, float* b, const fortran_int_t ldb,
                                                const float tola, const float tolb, float* alpha, float* beta,
                                                float* u, const fortran_int_t ldu, float* v, const fortran_int_t ldv,
                                                float* q, const fortran_int_t ldq, float* work,
                                                fortran_int_t& ncycle)
                    {
                        fortran_int_t info(0);
                        LAPACK_STGSJA(&jobu, &jobv, &jobq, &m, &p, &n, &k, &l, a, &lda, b, &ldb,
                                      &tola, &tolb, alpha, beta, u, &ldu, v, &ldv, q, &ldq, work,
                                      &ncycle, &info);
                        return info;
                    }

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

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

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

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

                //
                // This implementation is enabled if Value is a real type.
                //
                template <typename Value>
                struct tgsja_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 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<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<
                                                                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(real_type())) >=
                            min_size_work(bindings::size_column(a)));
                        BOOST_ASSERT(bindings::size_column(a) >= 0);
                        BOOST_ASSERT(bindings::size_minor(a) == 1 ||
                            bindings::stride_minor(a) == 1);
                        BOOST_ASSERT(bindings::size_minor(b) == 1 ||
                            bindings::stride_minor(b) == 1);
                        BOOST_ASSERT(bindings::size_minor(q) == 1 ||
                            bindings::stride_minor(q) == 1);
                        BOOST_ASSERT(bindings::size_minor(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(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
