//
// 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_TGEXC_HPP
#define BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_TGEXC_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 tgexc 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 tgexc( const fortran_bool_t wantq,
        const fortran_bool_t wantz, const fortran_int_t n, float* a,
        const fortran_int_t lda, float* b, const fortran_int_t ldb, float* q,
        const fortran_int_t ldq, float* z, const fortran_int_t ldz,
        fortran_int_t& ifst, fortran_int_t& ilst, float* work,
        const fortran_int_t lwork ) {
    fortran_int_t info(0);
    LAPACK_STGEXC( &wantq, &wantz, &n, a, &lda, b, &ldb, q, &ldq, z, &ldz,
            &ifst, &ilst, work, &lwork, &info );
    return info;
}

//
// Overloaded function for dispatching to
// * netlib-compatible LAPACK backend (the default), and
// * double value-type.
//
inline std::ptrdiff_t tgexc( const fortran_bool_t wantq,
        const fortran_bool_t wantz, const fortran_int_t n, double* a,
        const fortran_int_t lda, double* b, const fortran_int_t ldb,
        double* q, const fortran_int_t ldq, double* z,
        const fortran_int_t ldz, fortran_int_t& ifst, fortran_int_t& ilst,
        double* work, const fortran_int_t lwork ) {
    fortran_int_t info(0);
    LAPACK_DTGEXC( &wantq, &wantz, &n, a, &lda, b, &ldb, q, &ldq, z, &ldz,
            &ifst, &ilst, 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 tgexc( const fortran_bool_t wantq,
        const fortran_bool_t wantz, const fortran_int_t n,
        std::complex<float>* a, const fortran_int_t lda,
        std::complex<float>* b, const fortran_int_t ldb,
        std::complex<float>* q, const fortran_int_t ldq,
        std::complex<float>* z, const fortran_int_t ldz,
        const fortran_int_t ifst, fortran_int_t& ilst ) {
    fortran_int_t info(0);
    LAPACK_CTGEXC( &wantq, &wantz, &n, a, &lda, b, &ldb, q, &ldq, z, &ldz,
            &ifst, &ilst, &info );
    return info;
}

//
// Overloaded function for dispatching to
// * netlib-compatible LAPACK backend (the default), and
// * complex<double> value-type.
//
inline std::ptrdiff_t tgexc( const fortran_bool_t wantq,
        const fortran_bool_t wantz, const fortran_int_t n,
        std::complex<double>* a, const fortran_int_t lda,
        std::complex<double>* b, const fortran_int_t ldb,
        std::complex<double>* q, const fortran_int_t ldq,
        std::complex<double>* z, const fortran_int_t ldz,
        const fortran_int_t ifst, fortran_int_t& ilst ) {
    fortran_int_t info(0);
    LAPACK_ZTGEXC( &wantq, &wantz, &n, a, &lda, b, &ldb, q, &ldq, z, &ldz,
            &ifst, &ilst, &info );
    return info;
}

} // namespace detail

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

//
// This implementation is enabled if Value is a real type.
//
template< typename Value >
struct tgexc_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 MatrixQ,
            typename MatrixZ, typename WORK >
    static std::ptrdiff_t invoke( const fortran_bool_t wantq,
            const fortran_bool_t wantz, MatrixA& a, MatrixB& b, MatrixQ& q,
            MatrixZ& z, fortran_int_t& ifst, fortran_int_t& ilst,
            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< MatrixQ >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixZ >::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<
                MatrixQ >::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<
                MatrixZ >::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< MatrixQ >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixZ >::value) );
        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(z) == 1 ||
                bindings::stride_minor(z) == 1 );
        BOOST_ASSERT( bindings::stride_major(a) >= std::max< std::ptrdiff_t >(1,
                bindings::size_column(a)) );
        BOOST_ASSERT( bindings::stride_major(b) >= std::max< std::ptrdiff_t >(1,
                bindings::size_column(a)) );
        return detail::tgexc( wantq, wantz, bindings::size_column(a),
                bindings::begin_value(a), bindings::stride_major(a),
                bindings::begin_value(b), bindings::stride_major(b),
                bindings::begin_value(q), bindings::stride_major(q),
                bindings::begin_value(z), bindings::stride_major(z), ifst,
                ilst, 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 MatrixA, typename MatrixB, typename MatrixQ,
            typename MatrixZ >
    static std::ptrdiff_t invoke( const fortran_bool_t wantq,
            const fortran_bool_t wantz, MatrixA& a, MatrixB& b, MatrixQ& q,
            MatrixZ& z, fortran_int_t& ifst, fortran_int_t& ilst,
            minimal_workspace ) {
        namespace bindings = ::boost::numeric::bindings;
        bindings::detail::array< real_type > tmp_work( min_size_work(
                bindings::size_column(a) ) );
        return invoke( wantq, wantz, a, b, q, z, ifst, ilst,
                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 MatrixQ,
            typename MatrixZ >
    static std::ptrdiff_t invoke( const fortran_bool_t wantq,
            const fortran_bool_t wantz, MatrixA& a, MatrixB& b, MatrixQ& q,
            MatrixZ& z, fortran_int_t& ifst, fortran_int_t& ilst,
            optimal_workspace ) {
        namespace bindings = ::boost::numeric::bindings;
        real_type opt_size_work;
        detail::tgexc( wantq, wantz, bindings::size_column(a),
                bindings::begin_value(a), bindings::stride_major(a),
                bindings::begin_value(b), bindings::stride_major(b),
                bindings::begin_value(q), bindings::stride_major(q),
                bindings::begin_value(z), bindings::stride_major(z), ifst,
                ilst, &opt_size_work, -1 );
        bindings::detail::array< real_type > tmp_work(
                traits::detail::to_int( opt_size_work ) );
        return invoke( wantq, wantz, a, b, q, z, ifst, ilst,
                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 ) {
        if (n <= 1)
            return 1;
        else
            return 4*n + 16;
    }
};

//
// This implementation is enabled if Value is a complex type.
//
template< typename Value >
struct tgexc_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, that
    // * Deduces the required arguments for dispatching to LAPACK, and
    // * Asserts that most arguments make sense.
    //
    template< typename MatrixA, typename MatrixB, typename MatrixQ,
            typename MatrixZ >
    static std::ptrdiff_t invoke( const fortran_bool_t wantq,
            const fortran_bool_t wantz, MatrixA& a, MatrixB& b, MatrixQ& q,
            MatrixZ& z, const fortran_int_t ifst,
            fortran_int_t& ilst ) {
        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< MatrixQ >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixZ >::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<
                MatrixQ >::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<
                MatrixZ >::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< MatrixQ >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixZ >::value) );
        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(z) == 1 ||
                bindings::stride_minor(z) == 1 );
        BOOST_ASSERT( bindings::stride_major(a) >= std::max< std::ptrdiff_t >(1,
                bindings::size_column(a)) );
        BOOST_ASSERT( bindings::stride_major(b) >= std::max< std::ptrdiff_t >(1,
                bindings::size_column(a)) );
        return detail::tgexc( wantq, wantz, bindings::size_column(a),
                bindings::begin_value(a), bindings::stride_major(a),
                bindings::begin_value(b), bindings::stride_major(b),
                bindings::begin_value(q), bindings::stride_major(q),
                bindings::begin_value(z), bindings::stride_major(z), ifst,
                ilst );
    }

};


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

//
// Overloaded function for tgexc. Its overload differs for
// * User-defined workspace
//
template< typename MatrixA, typename MatrixB, typename MatrixQ,
        typename MatrixZ, typename Workspace >
inline typename boost::enable_if< detail::is_workspace< Workspace >,
        std::ptrdiff_t >::type
tgexc( const fortran_bool_t wantq, const fortran_bool_t wantz,
        MatrixA& a, MatrixB& b, MatrixQ& q, MatrixZ& z,
        fortran_int_t& ifst, fortran_int_t& ilst, Workspace work ) {
    return tgexc_impl< typename bindings::value_type<
            MatrixA >::type >::invoke( wantq, wantz, a, b, q, z, ifst, ilst,
            work );
}

//
// Overloaded function for tgexc. Its overload differs for
// * Default workspace-type (optimal)
//
template< typename MatrixA, typename MatrixB, typename MatrixQ,
        typename MatrixZ >
inline typename boost::disable_if< detail::is_workspace< MatrixZ >,
        std::ptrdiff_t >::type
tgexc( const fortran_bool_t wantq, const fortran_bool_t wantz,
        MatrixA& a, MatrixB& b, MatrixQ& q, MatrixZ& z,
        fortran_int_t& ifst, fortran_int_t& ilst ) {
    return tgexc_impl< typename bindings::value_type<
            MatrixA >::type >::invoke( wantq, wantz, a, b, q, z, ifst, ilst,
            optimal_workspace() );
}

//
// Overloaded function for tgexc. Its overload differs for
//
template< typename MatrixA, typename MatrixB, typename MatrixQ,
        typename MatrixZ >
inline std::ptrdiff_t tgexc( const fortran_bool_t wantq,
        const fortran_bool_t wantz, MatrixA& a, MatrixB& b, MatrixQ& q,
        MatrixZ& z, const fortran_int_t ifst, fortran_int_t& ilst ) {
    return tgexc_impl< typename bindings::value_type<
            MatrixA >::type >::invoke( wantq, wantz, a, b, q, z, ifst, ilst );
}

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

#endif
