//
// 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_DRIVER_GEEVX_HPP
#define BOOST_NUMERIC_BINDINGS_LAPACK_DRIVER_GEEVX_HPP

#include <boost/assert.hpp>
#include <boost/numeric/bindings/begin.hpp>
#include <boost/numeric/bindings/detail/array.hpp>
#include <boost/numeric/bindings/is_column_major.hpp>
#include <boost/numeric/bindings/is_complex.hpp>
#include <boost/numeric/bindings/is_mutable.hpp>
#include <boost/numeric/bindings/is_real.hpp>
#include <boost/numeric/bindings/lapack/workspace.hpp>
#include <boost/numeric/bindings/remove_imaginary.hpp>
#include <boost/numeric/bindings/size.hpp>
#include <boost/numeric/bindings/stride.hpp>
#include <boost/numeric/bindings/traits/detail/utils.hpp>
#include <boost/numeric/bindings/value_type.hpp>
#include <boost/static_assert.hpp>
#include <boost/type_traits/is_same.hpp>
#include <boost/type_traits/remove_const.hpp>
#include <boost/utility/enable_if.hpp>

//
// The LAPACK-backend for geevx 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 geevx( const char balanc, const char jobvl,
        const char jobvr, const char sense, const fortran_int_t n, float* a,
        const fortran_int_t lda, float* wr, float* wi, float* vl,
        const fortran_int_t ldvl, float* vr, const fortran_int_t ldvr,
        fortran_int_t& ilo, fortran_int_t& ihi, float* scale, float& abnrm,
        float* rconde, float* rcondv, float* work, const fortran_int_t lwork,
        fortran_int_t* iwork ) {
    fortran_int_t info(0);
    LAPACK_SGEEVX( &balanc, &jobvl, &jobvr, &sense, &n, a, &lda, wr, wi, vl,
            &ldvl, vr, &ldvr, &ilo, &ihi, scale, &abnrm, rconde, rcondv, work,
            &lwork, iwork, &info );
    return info;
}

//
// Overloaded function for dispatching to
// * netlib-compatible LAPACK backend (the default), and
// * double value-type.
//
inline std::ptrdiff_t geevx( const char balanc, const char jobvl,
        const char jobvr, const char sense, const fortran_int_t n, double* a,
        const fortran_int_t lda, double* wr, double* wi, double* vl,
        const fortran_int_t ldvl, double* vr, const fortran_int_t ldvr,
        fortran_int_t& ilo, fortran_int_t& ihi, double* scale, double& abnrm,
        double* rconde, double* rcondv, double* work,
        const fortran_int_t lwork, fortran_int_t* iwork ) {
    fortran_int_t info(0);
    LAPACK_DGEEVX( &balanc, &jobvl, &jobvr, &sense, &n, a, &lda, wr, wi, vl,
            &ldvl, vr, &ldvr, &ilo, &ihi, scale, &abnrm, rconde, rcondv, work,
            &lwork, iwork, &info );
    return info;
}

//
// Overloaded function for dispatching to
// * netlib-compatible LAPACK backend (the default), and
// * complex<float> value-type.
//
inline std::ptrdiff_t geevx( const char balanc, const char jobvl,
        const char jobvr, const char sense, const fortran_int_t n,
        std::complex<float>* a, const fortran_int_t lda,
        std::complex<float>* w, std::complex<float>* vl,
        const fortran_int_t ldvl, std::complex<float>* vr,
        const fortran_int_t ldvr, fortran_int_t& ilo, fortran_int_t& ihi,
        float* scale, float& abnrm, float* rconde, float* rcondv,
        std::complex<float>* work, const fortran_int_t lwork, float* rwork ) {
    fortran_int_t info(0);
    LAPACK_CGEEVX( &balanc, &jobvl, &jobvr, &sense, &n, a, &lda, w, vl, &ldvl,
            vr, &ldvr, &ilo, &ihi, scale, &abnrm, rconde, rcondv, 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 geevx( const char balanc, const char jobvl,
        const char jobvr, const char sense, const fortran_int_t n,
        std::complex<double>* a, const fortran_int_t lda,
        std::complex<double>* w, std::complex<double>* vl,
        const fortran_int_t ldvl, std::complex<double>* vr,
        const fortran_int_t ldvr, fortran_int_t& ilo, fortran_int_t& ihi,
        double* scale, double& abnrm, double* rconde, double* rcondv,
        std::complex<double>* work, const fortran_int_t lwork,
        double* rwork ) {
    fortran_int_t info(0);
    LAPACK_ZGEEVX( &balanc, &jobvl, &jobvr, &sense, &n, a, &lda, w, vl, &ldvl,
            vr, &ldvr, &ilo, &ihi, scale, &abnrm, rconde, rcondv, work,
            &lwork, rwork, &info );
    return info;
}

} // namespace detail

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

//
// This implementation is enabled if Value is a real type.
//
template< typename Value >
struct geevx_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 VectorWR, typename VectorWI,
            typename MatrixVL, typename MatrixVR, typename VectorSCALE,
            typename VectorRCONDE, typename VectorRCONDV, typename WORK,
            typename IWORK >
    static std::ptrdiff_t invoke( const char balanc, const char jobvl,
            const char jobvr, const char sense, MatrixA& a, VectorWR& wr,
            VectorWI& wi, MatrixVL& vl, MatrixVR& vr, fortran_int_t& ilo,
            fortran_int_t& ihi, VectorSCALE& scale, real_type& abnrm,
            VectorRCONDE& rconde, VectorRCONDV& rcondv, detail::workspace2<
            WORK, IWORK > work ) {
        namespace bindings = ::boost::numeric::bindings;
        BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixA >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixVL >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixVR >::value) );
        BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
                typename bindings::value_type< MatrixA >::type >::type,
                typename remove_const< typename bindings::value_type<
                VectorWR >::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<
                VectorWI >::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<
                MatrixVL >::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<
                MatrixVR >::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<
                VectorSCALE >::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<
                VectorRCONDE >::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<
                VectorRCONDV >::type >::type >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixA >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorWR >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorWI >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixVL >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixVR >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorSCALE >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorRCONDE >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorRCONDV >::value) );
        BOOST_ASSERT( bindings::size(rconde) >= bindings::size_column(a) );
        BOOST_ASSERT( bindings::size(rcondv) >= bindings::size_column(a) );
        BOOST_ASSERT( bindings::size(wi) >= bindings::size_column(a) );
        BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >=
                min_size_iwork( sense, bindings::size_column(a) ));
        BOOST_ASSERT( bindings::size(work.select(real_type())) >=
                min_size_work( sense, jobvl, jobvr,
                bindings::size_column(a) ));
        BOOST_ASSERT( bindings::size(wr) >= 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(vl) == 1 ||
                bindings::stride_minor(vl) == 1 );
        BOOST_ASSERT( bindings::size_minor(vr) == 1 ||
                bindings::stride_minor(vr) == 1 );
        BOOST_ASSERT( bindings::stride_major(a) >= std::max< std::ptrdiff_t >(1,
                bindings::size_column(a)) );
        BOOST_ASSERT( balanc == 'N' || balanc == 'P' || balanc == 'S' ||
                balanc == 'B' );
        BOOST_ASSERT( jobvl == 'N' || jobvl == 'V' || jobvl == 'E' ||
                jobvl == 'B' );
        BOOST_ASSERT( jobvr == 'N' || jobvr == 'V' || jobvr == 'E' ||
                jobvr == 'B' );
        BOOST_ASSERT( sense == 'N' || sense == 'E' || sense == 'V' ||
                sense == 'B' );
        return detail::geevx( balanc, jobvl, jobvr, sense,
                bindings::size_column(a), bindings::begin_value(a),
                bindings::stride_major(a), bindings::begin_value(wr),
                bindings::begin_value(wi), bindings::begin_value(vl),
                bindings::stride_major(vl), bindings::begin_value(vr),
                bindings::stride_major(vr), ilo, ihi,
                bindings::begin_value(scale), abnrm,
                bindings::begin_value(rconde), bindings::begin_value(rcondv),
                bindings::begin_value(work.select(real_type())),
                bindings::size(work.select(real_type())),
                bindings::begin_value(work.select(fortran_int_t())) );
    }

    //
    // Static member function that
    // * Figures out the minimal workspace requirements, and passes
    //   the results to the user-defined workspace overload of the 
    //   invoke static member function
    // * Enables the unblocked algorithm (BLAS level 2)
    //
    template< typename MatrixA, typename VectorWR, typename VectorWI,
            typename MatrixVL, typename MatrixVR, typename VectorSCALE,
            typename VectorRCONDE, typename VectorRCONDV >
    static std::ptrdiff_t invoke( const char balanc, const char jobvl,
            const char jobvr, const char sense, MatrixA& a, VectorWR& wr,
            VectorWI& wi, MatrixVL& vl, MatrixVR& vr, fortran_int_t& ilo,
            fortran_int_t& ihi, VectorSCALE& scale, real_type& abnrm,
            VectorRCONDE& rconde, VectorRCONDV& rcondv, minimal_workspace ) {
        namespace bindings = ::boost::numeric::bindings;
        bindings::detail::array< real_type > tmp_work( min_size_work( sense,
                jobvl, jobvr, bindings::size_column(a) ) );
        bindings::detail::array< fortran_int_t > tmp_iwork(
                min_size_iwork( sense, bindings::size_column(a) ) );
        return invoke( balanc, jobvl, jobvr, sense, a, wr, wi, vl, vr, ilo,
                ihi, scale, abnrm, rconde, rcondv, workspace( tmp_work,
                tmp_iwork ) );
    }

    //
    // Static member function that
    // * Figures out the optimal workspace requirements, and passes
    //   the results to the user-defined workspace overload of the 
    //   invoke static member
    // * Enables the blocked algorithm (BLAS level 3)
    //
    template< typename MatrixA, typename VectorWR, typename VectorWI,
            typename MatrixVL, typename MatrixVR, typename VectorSCALE,
            typename VectorRCONDE, typename VectorRCONDV >
    static std::ptrdiff_t invoke( const char balanc, const char jobvl,
            const char jobvr, const char sense, MatrixA& a, VectorWR& wr,
            VectorWI& wi, MatrixVL& vl, MatrixVR& vr, fortran_int_t& ilo,
            fortran_int_t& ihi, VectorSCALE& scale, real_type& abnrm,
            VectorRCONDE& rconde, VectorRCONDV& rcondv, optimal_workspace ) {
        namespace bindings = ::boost::numeric::bindings;
        real_type opt_size_work;
        bindings::detail::array< fortran_int_t > tmp_iwork(
                min_size_iwork( sense, bindings::size_column(a) ) );
        detail::geevx( balanc, jobvl, jobvr, sense,
                bindings::size_column(a), bindings::begin_value(a),
                bindings::stride_major(a), bindings::begin_value(wr),
                bindings::begin_value(wi), bindings::begin_value(vl),
                bindings::stride_major(vl), bindings::begin_value(vr),
                bindings::stride_major(vr), ilo, ihi,
                bindings::begin_value(scale), abnrm,
                bindings::begin_value(rconde), bindings::begin_value(rcondv),
                &opt_size_work, -1, bindings::begin_value(tmp_iwork) );
        bindings::detail::array< real_type > tmp_work(
                traits::detail::to_int( opt_size_work ) );
        return invoke( balanc, jobvl, jobvr, sense, a, wr, wi, vl, vr, ilo,
                ihi, scale, abnrm, rconde, rcondv, workspace( tmp_work,
                tmp_iwork ) );
    }

    //
    // Static member function that returns the minimum size of
    // workspace-array work.
    //
    static std::ptrdiff_t min_size_work( const char sense, const char jobvl,
            const char jobvr, const std::ptrdiff_t n ) {
        if ( sense == 'N' || sense == 'E' ) {
            if ( jobvl =='V' || jobvr == 'V' )
                return std::max< std::ptrdiff_t >( 1, 3*n );
            else
                return std::max< std::ptrdiff_t >( 1, 2*n );
        } else
            return std::max< std::ptrdiff_t >( 1, n*(n+6) );
    }

    //
    // Static member function that returns the minimum size of
    // workspace-array iwork.
    //
    static std::ptrdiff_t min_size_iwork( const char sense,
            const std::ptrdiff_t n ) {
        if ( sense == 'N' || sense == 'E' )
            return 0;
        else
            return 2*n-2;
    }
};

//
// This implementation is enabled if Value is a complex type.
//
template< typename Value >
struct geevx_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 VectorW, typename MatrixVL,
            typename MatrixVR, typename VectorSCALE, typename VectorRCONDE,
            typename VectorRCONDV, typename WORK, typename RWORK >
    static std::ptrdiff_t invoke( const char balanc, const char jobvl,
            const char jobvr, const char sense, MatrixA& a, VectorW& w,
            MatrixVL& vl, MatrixVR& vr, fortran_int_t& ilo,
            fortran_int_t& ihi, VectorSCALE& scale, real_type& abnrm,
            VectorRCONDE& rconde, VectorRCONDV& rcondv, detail::workspace2<
            WORK, RWORK > work ) {
        namespace bindings = ::boost::numeric::bindings;
        BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixA >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixVL >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixVR >::value) );
        BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
                typename bindings::value_type< VectorSCALE >::type >::type,
                typename remove_const< typename bindings::value_type<
                VectorRCONDE >::type >::type >::value) );
        BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
                typename bindings::value_type< VectorSCALE >::type >::type,
                typename remove_const< typename bindings::value_type<
                VectorRCONDV >::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<
                VectorW >::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<
                MatrixVL >::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<
                MatrixVR >::type >::type >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixA >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorW >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixVL >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixVR >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorSCALE >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorRCONDE >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorRCONDV >::value) );
        BOOST_ASSERT( bindings::size(rconde) >= bindings::size_column(a) );
        BOOST_ASSERT( bindings::size(rcondv) >= bindings::size_column(a) );
        BOOST_ASSERT( bindings::size(w) >= 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_work( sense, 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(vl) == 1 ||
                bindings::stride_minor(vl) == 1 );
        BOOST_ASSERT( bindings::size_minor(vr) == 1 ||
                bindings::stride_minor(vr) == 1 );
        BOOST_ASSERT( bindings::stride_major(a) >= std::max< std::ptrdiff_t >(1,
                bindings::size_column(a)) );
        BOOST_ASSERT( balanc == 'N' || balanc == 'P' || balanc == 'S' ||
                balanc == 'B' );
        BOOST_ASSERT( jobvl == 'N' || jobvl == 'V' || jobvl == 'E' ||
                jobvl == 'B' );
        BOOST_ASSERT( jobvr == 'N' || jobvr == 'V' || jobvr == 'E' ||
                jobvr == 'B' );
        BOOST_ASSERT( sense == 'N' || sense == 'E' || sense == 'V' ||
                sense == 'B' );
        return detail::geevx( balanc, jobvl, jobvr, sense,
                bindings::size_column(a), bindings::begin_value(a),
                bindings::stride_major(a), bindings::begin_value(w),
                bindings::begin_value(vl), bindings::stride_major(vl),
                bindings::begin_value(vr), bindings::stride_major(vr), ilo,
                ihi, bindings::begin_value(scale), abnrm,
                bindings::begin_value(rconde), bindings::begin_value(rcondv),
                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 MatrixA, typename VectorW, typename MatrixVL,
            typename MatrixVR, typename VectorSCALE, typename VectorRCONDE,
            typename VectorRCONDV >
    static std::ptrdiff_t invoke( const char balanc, const char jobvl,
            const char jobvr, const char sense, MatrixA& a, VectorW& w,
            MatrixVL& vl, MatrixVR& vr, fortran_int_t& ilo,
            fortran_int_t& ihi, VectorSCALE& scale, real_type& abnrm,
            VectorRCONDE& rconde, VectorRCONDV& rcondv, minimal_workspace ) {
        namespace bindings = ::boost::numeric::bindings;
        bindings::detail::array< value_type > tmp_work( min_size_work( sense,
                bindings::size_column(a) ) );
        bindings::detail::array< real_type > tmp_rwork( min_size_rwork(
                bindings::size_column(a) ) );
        return invoke( balanc, jobvl, jobvr, sense, a, w, vl, vr, ilo, ihi,
                scale, abnrm, rconde, rcondv, 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 MatrixA, typename VectorW, typename MatrixVL,
            typename MatrixVR, typename VectorSCALE, typename VectorRCONDE,
            typename VectorRCONDV >
    static std::ptrdiff_t invoke( const char balanc, const char jobvl,
            const char jobvr, const char sense, MatrixA& a, VectorW& w,
            MatrixVL& vl, MatrixVR& vr, fortran_int_t& ilo,
            fortran_int_t& ihi, VectorSCALE& scale, real_type& abnrm,
            VectorRCONDE& rconde, VectorRCONDV& rcondv, 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(a) ) );
        detail::geevx( balanc, jobvl, jobvr, sense,
                bindings::size_column(a), bindings::begin_value(a),
                bindings::stride_major(a), bindings::begin_value(w),
                bindings::begin_value(vl), bindings::stride_major(vl),
                bindings::begin_value(vr), bindings::stride_major(vr), ilo,
                ihi, bindings::begin_value(scale), abnrm,
                bindings::begin_value(rconde), bindings::begin_value(rcondv),
                &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( balanc, jobvl, jobvr, sense, a, w, vl, vr, ilo, ihi,
                scale, abnrm, rconde, rcondv, 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 char sense,
            const std::ptrdiff_t n ) {
        if ( sense == 'N' || sense == 'E' )
            return std::max< std::ptrdiff_t >( 1, 2*n );
        else
            return std::max< std::ptrdiff_t >( 1, n*n + 2*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;
    }
};


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

//
// Overloaded function for geevx. Its overload differs for
// * User-defined workspace
//
template< typename MatrixA, typename VectorWR, typename VectorWI,
        typename MatrixVL, typename MatrixVR, typename VectorSCALE,
        typename VectorRCONDE, typename VectorRCONDV, typename Workspace >
inline typename boost::enable_if< detail::is_workspace< Workspace >,
        std::ptrdiff_t >::type
geevx( const char balanc, const char jobvl, const char jobvr,
        const char sense, MatrixA& a, VectorWR& wr, VectorWI& wi,
        MatrixVL& vl, MatrixVR& vr, fortran_int_t& ilo,
        fortran_int_t& ihi, VectorSCALE& scale, typename remove_imaginary<
        typename bindings::value_type< MatrixA >::type >::type& abnrm,
        VectorRCONDE& rconde, VectorRCONDV& rcondv, Workspace work ) {
    return geevx_impl< typename bindings::value_type<
            MatrixA >::type >::invoke( balanc, jobvl, jobvr, sense, a, wr, wi,
            vl, vr, ilo, ihi, scale, abnrm, rconde, rcondv, work );
}

//
// Overloaded function for geevx. Its overload differs for
// * Default workspace-type (optimal)
//
template< typename MatrixA, typename VectorWR, typename VectorWI,
        typename MatrixVL, typename MatrixVR, typename VectorSCALE,
        typename VectorRCONDE, typename VectorRCONDV >
inline typename boost::disable_if< detail::is_workspace< VectorRCONDV >,
        std::ptrdiff_t >::type
geevx( const char balanc, const char jobvl, const char jobvr,
        const char sense, MatrixA& a, VectorWR& wr, VectorWI& wi,
        MatrixVL& vl, MatrixVR& vr, fortran_int_t& ilo,
        fortran_int_t& ihi, VectorSCALE& scale, typename remove_imaginary<
        typename bindings::value_type< MatrixA >::type >::type& abnrm,
        VectorRCONDE& rconde, VectorRCONDV& rcondv ) {
    return geevx_impl< typename bindings::value_type<
            MatrixA >::type >::invoke( balanc, jobvl, jobvr, sense, a, wr, wi,
            vl, vr, ilo, ihi, scale, abnrm, rconde, rcondv,
            optimal_workspace() );
}

//
// Overloaded function for geevx. Its overload differs for
// * User-defined workspace
//
template< typename MatrixA, typename VectorW, typename MatrixVL,
        typename MatrixVR, typename VectorSCALE, typename VectorRCONDE,
        typename VectorRCONDV, typename Workspace >
inline typename boost::enable_if< detail::is_workspace< Workspace >,
        std::ptrdiff_t >::type
geevx( const char balanc, const char jobvl, const char jobvr,
        const char sense, MatrixA& a, VectorW& w, MatrixVL& vl, MatrixVR& vr,
        fortran_int_t& ilo, fortran_int_t& ihi, VectorSCALE& scale,
        typename remove_imaginary< typename bindings::value_type<
        MatrixA >::type >::type& abnrm, VectorRCONDE& rconde,
        VectorRCONDV& rcondv, Workspace work ) {
    return geevx_impl< typename bindings::value_type<
            MatrixA >::type >::invoke( balanc, jobvl, jobvr, sense, a, w, vl,
            vr, ilo, ihi, scale, abnrm, rconde, rcondv, work );
}

//
// Overloaded function for geevx. Its overload differs for
// * Default workspace-type (optimal)
//
template< typename MatrixA, typename VectorW, typename MatrixVL,
        typename MatrixVR, typename VectorSCALE, typename VectorRCONDE,
        typename VectorRCONDV >
inline typename boost::disable_if< detail::is_workspace< VectorRCONDV >,
        std::ptrdiff_t >::type
geevx( const char balanc, const char jobvl, const char jobvr,
        const char sense, MatrixA& a, VectorW& w, MatrixVL& vl, MatrixVR& vr,
        fortran_int_t& ilo, fortran_int_t& ihi, VectorSCALE& scale,
        typename remove_imaginary< typename bindings::value_type<
        MatrixA >::type >::type& abnrm, VectorRCONDE& rconde,
        VectorRCONDV& rcondv ) {
    return geevx_impl< typename bindings::value_type<
            MatrixA >::type >::invoke( balanc, jobvl, jobvr, sense, a, w, vl,
            vr, ilo, ihi, scale, abnrm, rconde, rcondv, optimal_workspace() );
}

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

#endif