//
// Copyright (c) 2002--2010
// Toon Knapen, Karl Meerbergen, Kresimir Fresl,
// Thomas Klimpel and Rutger ter Borg
//
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
//
// THIS FILE IS AUTOMATICALLY GENERATED
// PLEASE DO NOT EDIT!
//

#ifndef BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_HGEQZ_HPP
#define BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_HGEQZ_HPP

#include <boost/assert.hpp>
#include <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/traits/detail/utils.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 hgeqz 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 hgeqz(const char job, const char compq,
                                                const char compz, const fortran_int_t n, const fortran_int_t ilo,
                                                const fortran_int_t ihi, float* h, const fortran_int_t ldh, float* t,
                                                const fortran_int_t ldt, float* alphar, float* alphai, float* beta,
                                                float* q, const fortran_int_t ldq, float* z, const fortran_int_t ldz,
                                                float* work, const fortran_int_t lwork)
                    {
                        fortran_int_t info(0);
                        LAPACK_SHGEQZ(&job, &compq, &compz, &n, &ilo, &ihi, h, &ldh, t, &ldt,
                                      alphar, alphai, beta, q, &ldq, z, &ldz, work, &lwork, &info);
                        return info;
                    }

                    //
                    // Overloaded function for dispatching to
                    // * netlib-compatible LAPACK backend (the default), and
                    // * double value-type.
                    //
                    inline std::ptrdiff_t hgeqz(const char job, const char compq,
                                                const char compz, const fortran_int_t n, const fortran_int_t ilo,
                                                const fortran_int_t ihi, double* h, const fortran_int_t ldh,
                                                double* t, const fortran_int_t ldt, double* alphar, double* alphai,
                                                double* beta, double* q, const fortran_int_t ldq, double* z,
                                                const fortran_int_t ldz, double* work, const fortran_int_t lwork)
                    {
                        fortran_int_t info(0);
                        LAPACK_DHGEQZ(&job, &compq, &compz, &n, &ilo, &ihi, h, &ldh, t, &ldt,
                                      alphar, alphai, beta, q, &ldq, z, &ldz, work, &lwork, &info);
                        return info;
                    }

                    //
                    // Overloaded function for dispatching to
                    // * netlib-compatible LAPACK backend (the default), and
                    // * complex<float> value-type.
                    //
                    inline std::ptrdiff_t hgeqz(const char job, const char compq,
                                                const char compz, const fortran_int_t n, const fortran_int_t ilo,
                                                const fortran_int_t ihi, std::complex<float>* h,
                                                const fortran_int_t ldh, std::complex<float>* t,
                                                const fortran_int_t ldt, std::complex<float>* alpha,
                                                std::complex<float>* beta, std::complex<float>* q,
                                                const fortran_int_t ldq, std::complex<float>* z,
                                                const fortran_int_t ldz, std::complex<float>* work,
                                                const fortran_int_t lwork, float* rwork)
                    {
                        fortran_int_t info(0);
                        LAPACK_CHGEQZ(&job, &compq, &compz, &n, &ilo, &ihi, h, &ldh, t, &ldt,
                                      alpha, beta, q, &ldq, z, &ldz, work, &lwork, rwork, &info);
                        return info;
                    }

                    //
                    // Overloaded function for dispatching to
                    // * netlib-compatible LAPACK backend (the default), and
                    // * complex<double> value-type.
                    //
                    inline std::ptrdiff_t hgeqz(const char job, const char compq,
                                                const char compz, const fortran_int_t n, const fortran_int_t ilo,
                                                const fortran_int_t ihi, std::complex<double>* h,
                                                const fortran_int_t ldh, std::complex<double>* t,
                                                const fortran_int_t ldt, std::complex<double>* alpha,
                                                std::complex<double>* beta, std::complex<double>* q,
                                                const fortran_int_t ldq, std::complex<double>* z,
                                                const fortran_int_t ldz, std::complex<double>* work,
                                                const fortran_int_t lwork, double* rwork)
                    {
                        fortran_int_t info(0);
                        LAPACK_ZHGEQZ(&job, &compq, &compz, &n, &ilo, &ihi, h, &ldh, t, &ldt,
                                      alpha, beta, q, &ldq, z, &ldz, work, &lwork, rwork, &info);
                        return info;
                    }
                } // namespace detail

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

                //
                // This implementation is enabled if Value is a real type.
                //
                template <typename Value>
                struct hgeqz_impl<Value, typename boost::enable_if<is_real<Value>>::type>
                {
                    typedef Value value_type;
                    typedef typename remove_imaginary<Value>::type real_type;

                    //
                    // Static member function for user-defined workspaces, that
                    // * Deduces the required arguments for dispatching to LAPACK, and
                    // * Asserts that most arguments make sense.
                    //
                    template <typename MatrixH, typename MatrixT, typename VectorALPHAR,
                              typename VectorALPHAI, typename VectorBETA, typename MatrixQ,
                              typename MatrixZ, typename WORK>
                    static std::ptrdiff_t invoke(const char job, const char compq,
                                                 const char compz, const fortran_int_t ilo, MatrixH& h,
                                                 MatrixT& t, VectorALPHAR& alphar, VectorALPHAI& alphai,
                                                 VectorBETA& beta, MatrixQ& q, MatrixZ& z, detail::workspace1<
                                                     WORK> work)
                    {
                        namespace bindings = ::boost::numeric::bindings;
                        BOOST_STATIC_ASSERT((bindings::is_column_major<MatrixH>::value));
                        BOOST_STATIC_ASSERT((bindings::is_column_major<MatrixT>::value));
                        BOOST_STATIC_ASSERT((bindings::is_column_major<MatrixQ>::value));
                        BOOST_STATIC_ASSERT((bindings::is_column_major<MatrixZ>::value));
                        BOOST_STATIC_ASSERT((boost::is_same<typename remove_const<
                                                                typename bindings::value_type<MatrixH>::type>::type,
                                                            typename remove_const<typename bindings::value_type<
                                                                MatrixT>::type>::type>::value));
                        BOOST_STATIC_ASSERT((boost::is_same<typename remove_const<
                                                                typename bindings::value_type<MatrixH>::type>::type,
                                                            typename remove_const<typename bindings::value_type<
                                                                VectorALPHAR>::type>::type>::value));
                        BOOST_STATIC_ASSERT((boost::is_same<typename remove_const<
                                                                typename bindings::value_type<MatrixH>::type>::type,
                                                            typename remove_const<typename bindings::value_type<
                                                                VectorALPHAI>::type>::type>::value));
                        BOOST_STATIC_ASSERT((boost::is_same<typename remove_const<
                                                                typename bindings::value_type<MatrixH>::type>::type,
                                                            typename remove_const<typename bindings::value_type<
                                                                VectorBETA>::type>::type>::value));
                        BOOST_STATIC_ASSERT((boost::is_same<typename remove_const<
                                                                typename bindings::value_type<MatrixH>::type>::type,
                                                            typename remove_const<typename bindings::value_type<
                                                                MatrixQ>::type>::type>::value));
                        BOOST_STATIC_ASSERT((boost::is_same<typename remove_const<
                                                                typename bindings::value_type<MatrixH>::type>::type,
                                                            typename remove_const<typename bindings::value_type<
                                                                MatrixZ>::type>::type>::value));
                        BOOST_STATIC_ASSERT((bindings::is_mutable<MatrixH>::value));
                        BOOST_STATIC_ASSERT((bindings::is_mutable<MatrixT>::value));
                        BOOST_STATIC_ASSERT((bindings::is_mutable<VectorALPHAR>::value));
                        BOOST_STATIC_ASSERT((bindings::is_mutable<VectorALPHAI>::value));
                        BOOST_STATIC_ASSERT((bindings::is_mutable<VectorBETA>::value));
                        BOOST_STATIC_ASSERT((bindings::is_mutable<MatrixQ>::value));
                        BOOST_STATIC_ASSERT((bindings::is_mutable<MatrixZ>::value));
                        BOOST_ASSERT(bindings::size(alphar) >= bindings::size_column(h));
                        BOOST_ASSERT(bindings::size(beta) >= bindings::size_column(h));
                        BOOST_ASSERT(bindings::size(work.select(real_type())) >=
                            min_size_work(bindings::size_column(h)));
                        BOOST_ASSERT(bindings::size_column(h) >= 0);
                        BOOST_ASSERT(bindings::size_minor(h) == 1 ||
                            bindings::stride_minor(h) == 1);
                        BOOST_ASSERT(bindings::size_minor(q) == 1 ||
                            bindings::stride_minor(q) == 1);
                        BOOST_ASSERT(bindings::size_minor(t) == 1 ||
                            bindings::stride_minor(t) == 1);
                        BOOST_ASSERT(bindings::size_minor(z) == 1 ||
                            bindings::stride_minor(z) == 1);
                        BOOST_ASSERT(bindings::stride_major(h) >= std::max<std::ptrdiff_t>(1,
                                                                                           bindings::size_column(h)));
                        BOOST_ASSERT(bindings::stride_major(t) >= std::max<std::ptrdiff_t>(1,
                                                                                           bindings::size_column(h)));
                        BOOST_ASSERT(compq == 'N' || compq == 'I' || compq == 'V');
                        BOOST_ASSERT(compz == 'N' || compz == 'I' || compz == 'V');
                        BOOST_ASSERT(job == 'E' || job == 'S');
                        return detail::hgeqz(job, compq, compz, bindings::size_column(h),
                                             ilo, bindings::size_column(h), bindings::begin_value(h),
                                             bindings::stride_major(h), bindings::begin_value(t),
                                             bindings::stride_major(t), bindings::begin_value(alphar),
                                             bindings::begin_value(alphai), bindings::begin_value(beta),
                                             bindings::begin_value(q), bindings::stride_major(q),
                                             bindings::begin_value(z), bindings::stride_major(z),
                                             bindings::begin_value(work.select(real_type())),
                                             bindings::size(work.select(real_type())));
                    }

                    //
                    // Static member function that
                    // * Figures out the minimal workspace requirements, and passes
                    //   the results to the user-defined workspace overload of the
                    //   invoke static member function
                    // * Enables the unblocked algorithm (BLAS level 2)
                    //
                    template <typename MatrixH, typename MatrixT, typename VectorALPHAR,
                              typename VectorALPHAI, typename VectorBETA, typename MatrixQ,
                              typename MatrixZ>
                    static std::ptrdiff_t invoke(const char job, const char compq,
                                                 const char compz, const fortran_int_t ilo, MatrixH& h,
                                                 MatrixT& t, VectorALPHAR& alphar, VectorALPHAI& alphai,
                                                 VectorBETA& beta, MatrixQ& q, MatrixZ& z, minimal_workspace)
                    {
                        namespace bindings = ::boost::numeric::bindings;
                        bindings::detail::array<real_type> tmp_work(min_size_work(
                            bindings::size_column(h)));
                        return invoke(job, compq, compz, ilo, h, t, alphar, alphai, beta, q,
                                      z, workspace(tmp_work));
                    }

                    //
                    // Static member function that
                    // * Figures out the optimal workspace requirements, and passes
                    //   the results to the user-defined workspace overload of the
                    //   invoke static member
                    // * Enables the blocked algorithm (BLAS level 3)
                    //
                    template <typename MatrixH, typename MatrixT, typename VectorALPHAR,
                              typename VectorALPHAI, typename VectorBETA, typename MatrixQ,
                              typename MatrixZ>
                    static std::ptrdiff_t invoke(const char job, const char compq,
                                                 const char compz, const fortran_int_t ilo, MatrixH& h,
                                                 MatrixT& t, VectorALPHAR& alphar, VectorALPHAI& alphai,
                                                 VectorBETA& beta, MatrixQ& q, MatrixZ& z, optimal_workspace)
                    {
                        namespace bindings = ::boost::numeric::bindings;
                        real_type opt_size_work;
                        detail::hgeqz(job, compq, compz, bindings::size_column(h), ilo,
                                      bindings::size_column(h), bindings::begin_value(h),
                                      bindings::stride_major(h), bindings::begin_value(t),
                                      bindings::stride_major(t), bindings::begin_value(alphar),
                                      bindings::begin_value(alphai), bindings::begin_value(beta),
                                      bindings::begin_value(q), bindings::stride_major(q),
                                      bindings::begin_value(z), bindings::stride_major(z),
                                      &opt_size_work, -1);
                        bindings::detail::array<real_type> tmp_work(
                            traits::detail::to_int(opt_size_work));
                        return invoke(job, compq, compz, ilo, h, t, alphar, alphai, beta, q,
                                      z, workspace(tmp_work));
                    }

                    //
                    // Static member function that returns the minimum size of
                    // workspace-array work.
                    //
                    static std::ptrdiff_t min_size_work(const std::ptrdiff_t n)
                    {
                        return std::max<std::ptrdiff_t>(1, n);
                    }
                };

                //
                // This implementation is enabled if Value is a complex type.
                //
                template <typename Value>
                struct hgeqz_impl<Value, typename boost::enable_if<is_complex<Value>>::type>
                {
                    typedef Value value_type;
                    typedef typename remove_imaginary<Value>::type real_type;

                    //
                    // Static member function for user-defined workspaces, that
                    // * Deduces the required arguments for dispatching to LAPACK, and
                    // * Asserts that most arguments make sense.
                    //
                    template <typename MatrixH, typename MatrixT, typename VectorALPHA,
                              typename VectorBETA, typename MatrixQ, typename MatrixZ,
                              typename WORK, typename RWORK>
                    static std::ptrdiff_t invoke(const char job, const char compq,
                                                 const char compz, const fortran_int_t ilo, MatrixH& h,
                                                 MatrixT& t, VectorALPHA& alpha, VectorBETA& beta, MatrixQ& q,
                                                 MatrixZ& z, detail::workspace2<WORK, RWORK> work)
                    {
                        namespace bindings = ::boost::numeric::bindings;
                        BOOST_STATIC_ASSERT((bindings::is_column_major<MatrixH>::value));
                        BOOST_STATIC_ASSERT((bindings::is_column_major<MatrixT>::value));
                        BOOST_STATIC_ASSERT((bindings::is_column_major<MatrixQ>::value));
                        BOOST_STATIC_ASSERT((bindings::is_column_major<MatrixZ>::value));
                        BOOST_STATIC_ASSERT((boost::is_same<typename remove_const<
                                                                typename bindings::value_type<MatrixH>::type>::type,
                                                            typename remove_const<typename bindings::value_type<
                                                                MatrixT>::type>::type>::value));
                        BOOST_STATIC_ASSERT((boost::is_same<typename remove_const<
                                                                typename bindings::value_type<MatrixH>::type>::type,
                                                            typename remove_const<typename bindings::value_type<
                                                                VectorALPHA>::type>::type>::value));
                        BOOST_STATIC_ASSERT((boost::is_same<typename remove_const<
                                                                typename bindings::value_type<MatrixH>::type>::type,
                                                            typename remove_const<typename bindings::value_type<
                                                                VectorBETA>::type>::type>::value));
                        BOOST_STATIC_ASSERT((boost::is_same<typename remove_const<
                                                                typename bindings::value_type<MatrixH>::type>::type,
                                                            typename remove_const<typename bindings::value_type<
                                                                MatrixQ>::type>::type>::value));
                        BOOST_STATIC_ASSERT((boost::is_same<typename remove_const<
                                                                typename bindings::value_type<MatrixH>::type>::type,
                                                            typename remove_const<typename bindings::value_type<
                                                                MatrixZ>::type>::type>::value));
                        BOOST_STATIC_ASSERT((bindings::is_mutable<MatrixH>::value));
                        BOOST_STATIC_ASSERT((bindings::is_mutable<MatrixT>::value));
                        BOOST_STATIC_ASSERT((bindings::is_mutable<VectorALPHA>::value));
                        BOOST_STATIC_ASSERT((bindings::is_mutable<VectorBETA>::value));
                        BOOST_STATIC_ASSERT((bindings::is_mutable<MatrixQ>::value));
                        BOOST_STATIC_ASSERT((bindings::is_mutable<MatrixZ>::value));
                        BOOST_ASSERT(bindings::size(alpha) >= bindings::size_column(h));
                        BOOST_ASSERT(bindings::size(beta) >= bindings::size_column(h));
                        BOOST_ASSERT(bindings::size(work.select(real_type())) >=
                            min_size_rwork(bindings::size_column(h)));
                        BOOST_ASSERT(bindings::size(work.select(value_type())) >=
                            min_size_work(bindings::size_column(h)));
                        BOOST_ASSERT(bindings::size_column(h) >= 0);
                        BOOST_ASSERT(bindings::size_minor(h) == 1 ||
                            bindings::stride_minor(h) == 1);
                        BOOST_ASSERT(bindings::size_minor(q) == 1 ||
                            bindings::stride_minor(q) == 1);
                        BOOST_ASSERT(bindings::size_minor(t) == 1 ||
                            bindings::stride_minor(t) == 1);
                        BOOST_ASSERT(bindings::size_minor(z) == 1 ||
                            bindings::stride_minor(z) == 1);
                        BOOST_ASSERT(bindings::stride_major(h) >= std::max<std::ptrdiff_t>(1,
                                                                                           bindings::size_column(h)));
                        BOOST_ASSERT(bindings::stride_major(t) >= std::max<std::ptrdiff_t>(1,
                                                                                           bindings::size_column(h)));
                        BOOST_ASSERT(compq == 'N' || compq == 'I' || compq == 'V');
                        BOOST_ASSERT(compz == 'N' || compz == 'I' || compz == 'V');
                        BOOST_ASSERT(job == 'E' || job == 'S');
                        return detail::hgeqz(job, compq, compz, bindings::size_column(h),
                                             ilo, bindings::size_column(h), bindings::begin_value(h),
                                             bindings::stride_major(h), bindings::begin_value(t),
                                             bindings::stride_major(t), bindings::begin_value(alpha),
                                             bindings::begin_value(beta), bindings::begin_value(q),
                                             bindings::stride_major(q), bindings::begin_value(z),
                                             bindings::stride_major(z),
                                             bindings::begin_value(work.select(value_type())),
                                             bindings::size(work.select(value_type())),
                                             bindings::begin_value(work.select(real_type())));
                    }

                    //
                    // Static member function that
                    // * Figures out the minimal workspace requirements, and passes
                    //   the results to the user-defined workspace overload of the
                    //   invoke static member function
                    // * Enables the unblocked algorithm (BLAS level 2)
                    //
                    template <typename MatrixH, typename MatrixT, typename VectorALPHA,
                              typename VectorBETA, typename MatrixQ, typename MatrixZ>
                    static std::ptrdiff_t invoke(const char job, const char compq,
                                                 const char compz, const fortran_int_t ilo, MatrixH& h,
                                                 MatrixT& t, VectorALPHA& alpha, VectorBETA& beta, MatrixQ& q,
                                                 MatrixZ& z, minimal_workspace)
                    {
                        namespace bindings = ::boost::numeric::bindings;
                        bindings::detail::array<value_type> tmp_work(min_size_work(
                            bindings::size_column(h)));
                        bindings::detail::array<real_type> tmp_rwork(min_size_rwork(
                            bindings::size_column(h)));
                        return invoke(job, compq, compz, ilo, h, t, alpha, beta, q, z,
                                      workspace(tmp_work, tmp_rwork));
                    }

                    //
                    // Static member function that
                    // * Figures out the optimal workspace requirements, and passes
                    //   the results to the user-defined workspace overload of the
                    //   invoke static member
                    // * Enables the blocked algorithm (BLAS level 3)
                    //
                    template <typename MatrixH, typename MatrixT, typename VectorALPHA,
                              typename VectorBETA, typename MatrixQ, typename MatrixZ>
                    static std::ptrdiff_t invoke(const char job, const char compq,
                                                 const char compz, const fortran_int_t ilo, MatrixH& h,
                                                 MatrixT& t, VectorALPHA& alpha, VectorBETA& beta, MatrixQ& q,
                                                 MatrixZ& z, optimal_workspace)
                    {
                        namespace bindings = ::boost::numeric::bindings;
                        value_type opt_size_work;
                        bindings::detail::array<real_type> tmp_rwork(min_size_rwork(
                            bindings::size_column(h)));
                        detail::hgeqz(job, compq, compz, bindings::size_column(h), ilo,
                                      bindings::size_column(h), bindings::begin_value(h),
                                      bindings::stride_major(h), bindings::begin_value(t),
                                      bindings::stride_major(t), bindings::begin_value(alpha),
                                      bindings::begin_value(beta), bindings::begin_value(q),
                                      bindings::stride_major(q), bindings::begin_value(z),
                                      bindings::stride_major(z), &opt_size_work, -1,
                                      bindings::begin_value(tmp_rwork));
                        bindings::detail::array<value_type> tmp_work(
                            traits::detail::to_int(opt_size_work));
                        return invoke(job, compq, compz, ilo, h, t, alpha, beta, q, z,
                                      workspace(tmp_work, tmp_rwork));
                    }

                    //
                    // Static member function that returns the minimum size of
                    // workspace-array work.
                    //
                    static std::ptrdiff_t min_size_work(const std::ptrdiff_t n)
                    {
                        return std::max<std::ptrdiff_t>(1, n);
                    }

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


                //
                // Functions for direct use. These functions are overloaded for temporaries,
                // so that wrapped types can still be passed and used for write-access. In
                // addition, if applicable, they are overloaded for user-defined workspaces.
                // Calls to these functions are passed to the hgeqz_impl classes. In the
                // documentation, most overloads are collapsed to avoid a large number of
                // prototypes which are very similar.
                //

                //
                // Overloaded function for hgeqz. Its overload differs for
                // * User-defined workspace
                //
                template <typename MatrixH, typename MatrixT, typename VectorALPHAR,
                          typename VectorALPHAI, typename VectorBETA, typename MatrixQ,
                          typename MatrixZ, typename Workspace>
                inline typename boost::enable_if<detail::is_workspace<Workspace>,
                                                 std::ptrdiff_t>::type
                hgeqz(const char job, const char compq, const char compz,
                      const fortran_int_t ilo, MatrixH& h, MatrixT& t,
                      VectorALPHAR& alphar, VectorALPHAI& alphai, VectorBETA& beta,
                      MatrixQ& q, MatrixZ& z, Workspace work)
                {
                    return hgeqz_impl<typename bindings::value_type<
                        MatrixH>::type>::invoke(job, compq, compz, ilo, h, t, alphar,
                                                alphai, beta, q, z, work);
                }

                //
                // Overloaded function for hgeqz. Its overload differs for
                // * Default workspace-type (optimal)
                //
                template <typename MatrixH, typename MatrixT, typename VectorALPHAR,
                          typename VectorALPHAI, typename VectorBETA, typename MatrixQ,
                          typename MatrixZ>
                inline typename boost::disable_if<detail::is_workspace<MatrixZ>,
                                                  std::ptrdiff_t>::type
                hgeqz(const char job, const char compq, const char compz,
                      const fortran_int_t ilo, MatrixH& h, MatrixT& t,
                      VectorALPHAR& alphar, VectorALPHAI& alphai, VectorBETA& beta,
                      MatrixQ& q, MatrixZ& z)
                {
                    return hgeqz_impl<typename bindings::value_type<
                        MatrixH>::type>::invoke(job, compq, compz, ilo, h, t, alphar,
                                                alphai, beta, q, z, optimal_workspace());
                }

                //
                // Overloaded function for hgeqz. Its overload differs for
                // * User-defined workspace
                //
                template <typename MatrixH, typename MatrixT, typename VectorALPHA,
                          typename VectorBETA, typename MatrixQ, typename MatrixZ,
                          typename Workspace>
                inline typename boost::enable_if<detail::is_workspace<Workspace>,
                                                 std::ptrdiff_t>::type
                hgeqz(const char job, const char compq, const char compz,
                      const fortran_int_t ilo, MatrixH& h, MatrixT& t,
                      VectorALPHA& alpha, VectorBETA& beta, MatrixQ& q, MatrixZ& z,
                      Workspace work)
                {
                    return hgeqz_impl<typename bindings::value_type<
                        MatrixH>::type>::invoke(job, compq, compz, ilo, h, t, alpha,
                                                beta, q, z, work);
                }

                //
                // Overloaded function for hgeqz. Its overload differs for
                // * Default workspace-type (optimal)
                //
                template <typename MatrixH, typename MatrixT, typename VectorALPHA,
                          typename VectorBETA, typename MatrixQ, typename MatrixZ>
                inline typename boost::disable_if<detail::is_workspace<MatrixZ>,
                                                  std::ptrdiff_t>::type
                hgeqz(const char job, const char compq, const char compz,
                      const fortran_int_t ilo, MatrixH& h, MatrixT& t,
                      VectorALPHA& alpha, VectorBETA& beta, MatrixQ& q, MatrixZ& z)
                {
                    return hgeqz_impl<typename bindings::value_type<
                        MatrixH>::type>::invoke(job, compq, compz, ilo, h, t, alpha,
                                                beta, q, z, optimal_workspace());
                }
            } // namespace lapack
        } // namespace bindings
    } // namespace numeric
} // namespace boost

#endif
