//
// 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_ITER_POSV_HPP
#define BOOST_NUMERIC_BINDINGS_LAPACK_DRIVER_ITER_POSV_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/uplo_tag.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 iter_posv 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
// * double value-type.
//
template< typename UpLo >
inline std::ptrdiff_t iter_posv( const UpLo, const fortran_int_t n,
        const fortran_int_t nrhs, double* a, const fortran_int_t lda,
        const double* b, const fortran_int_t ldb, double* x,
        const fortran_int_t ldx, double* work, float* swork,
        fortran_int_t& iter ) {
    fortran_int_t info(0);
    LAPACK_DSPOSV( &lapack_option< UpLo >::value, &n, &nrhs, a, &lda, b, &ldb,
            x, &ldx, work, swork, &iter, &info );
    return info;
}

//
// Overloaded function for dispatching to
// * netlib-compatible LAPACK backend (the default), and
// * complex<double> value-type.
//
template< typename UpLo >
inline std::ptrdiff_t iter_posv( const UpLo, const fortran_int_t n,
        const fortran_int_t nrhs, std::complex<double>* a,
        const fortran_int_t lda, const std::complex<double>* b,
        const fortran_int_t ldb, std::complex<double>* x,
        const fortran_int_t ldx, std::complex<double>* work,
        std::complex<float>* swork, double* rwork, fortran_int_t& iter ) {
    fortran_int_t info(0);
    LAPACK_ZCPOSV( &lapack_option< UpLo >::value, &n, &nrhs, a, &lda, b, &ldb,
            x, &ldx, work, swork, rwork, &iter, &info );
    return info;
}

} // namespace detail

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

//
// This implementation is enabled if Value is a real type.
//
template< typename Value >
struct iter_posv_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 MatrixX,
            typename WORK, typename SWORK >
    static std::ptrdiff_t invoke( MatrixA& a, const MatrixB& b, MatrixX& x,
            fortran_int_t& iter, detail::workspace2< WORK, SWORK > work ) {
        namespace bindings = ::boost::numeric::bindings;
        typedef typename result_of::uplo_tag< MatrixA >::type uplo;
        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< MatrixX >::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<
                MatrixX >::type >::type >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixA >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixX >::value) );
        BOOST_ASSERT( bindings::size(work.select(real_type())) >=
                min_size_swork( bindings::size_column(a),
                bindings::size_column(b) ));
        BOOST_ASSERT( bindings::size(work.select(real_type())) >=
                min_size_work( bindings::size_column(a),
                bindings::size_column(b) ));
        BOOST_ASSERT( bindings::size_column(a) >= 0 );
        BOOST_ASSERT( bindings::size_column(b) >= 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(x) == 1 ||
                bindings::stride_minor(x) == 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)) );
        BOOST_ASSERT( bindings::stride_major(x) >= std::max< std::ptrdiff_t >(1,
                bindings::size_column(a)) );
        return detail::iter_posv( uplo(), bindings::size_column(a),
                bindings::size_column(b), bindings::begin_value(a),
                bindings::stride_major(a), bindings::begin_value(b),
                bindings::stride_major(b), bindings::begin_value(x),
                bindings::stride_major(x),
                bindings::begin_value(work.select(real_type())),
                bindings::begin_value(work.select(real_type())), iter );
    }

    //
    // 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 MatrixX >
    static std::ptrdiff_t invoke( MatrixA& a, const MatrixB& b, MatrixX& x,
            fortran_int_t& iter, minimal_workspace ) {
        namespace bindings = ::boost::numeric::bindings;
        typedef typename result_of::uplo_tag< MatrixA >::type uplo;
        bindings::detail::array< real_type > tmp_work( min_size_work(
                bindings::size_column(a), bindings::size_column(b) ) );
        bindings::detail::array< real_type > tmp_swork( min_size_swork(
                bindings::size_column(a), bindings::size_column(b) ) );
        return invoke( a, b, x, iter, workspace( tmp_work, tmp_swork ) );
    }

    //
    // 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 MatrixX >
    static std::ptrdiff_t invoke( MatrixA& a, const MatrixB& b, MatrixX& x,
            fortran_int_t& iter, optimal_workspace ) {
        namespace bindings = ::boost::numeric::bindings;
        typedef typename result_of::uplo_tag< MatrixA >::type uplo;
        return invoke( a, b, x, iter, 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,
            const std::ptrdiff_t nrhs ) {
        return n*nrhs;
    }

    //
    // Static member function that returns the minimum size of
    // workspace-array swork.
    //
    static std::ptrdiff_t min_size_swork( const std::ptrdiff_t n,
            const std::ptrdiff_t nrhs ) {
        return n*(n+nrhs);
    }
};

//
// This implementation is enabled if Value is a complex type.
//
template< typename Value >
struct iter_posv_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 MatrixX,
            typename WORK, typename SWORK, typename RWORK >
    static std::ptrdiff_t invoke( MatrixA& a, const MatrixB& b, MatrixX& x,
            fortran_int_t& iter, detail::workspace3< WORK, SWORK,
            RWORK > work ) {
        namespace bindings = ::boost::numeric::bindings;
        typedef typename result_of::uplo_tag< MatrixA >::type uplo;
        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< MatrixX >::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<
                MatrixX >::type >::type >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixA >::value) );
        BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixX >::value) );
        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_swork( bindings::size_column(a),
                bindings::size_column(b) ));
        BOOST_ASSERT( bindings::size(work.select(value_type())) >=
                min_size_work( bindings::size_column(a),
                bindings::size_column(b) ));
        BOOST_ASSERT( bindings::size_column(a) >= 0 );
        BOOST_ASSERT( bindings::size_column(b) >= 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(x) == 1 ||
                bindings::stride_minor(x) == 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)) );
        BOOST_ASSERT( bindings::stride_major(x) >= std::max< std::ptrdiff_t >(1,
                bindings::size_column(a)) );
        return detail::iter_posv( uplo(), bindings::size_column(a),
                bindings::size_column(b), bindings::begin_value(a),
                bindings::stride_major(a), bindings::begin_value(b),
                bindings::stride_major(b), bindings::begin_value(x),
                bindings::stride_major(x),
                bindings::begin_value(work.select(value_type())),
                bindings::begin_value(work.select(value_type())),
                bindings::begin_value(work.select(real_type())), iter );
    }

    //
    // 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 MatrixX >
    static std::ptrdiff_t invoke( MatrixA& a, const MatrixB& b, MatrixX& x,
            fortran_int_t& iter, minimal_workspace ) {
        namespace bindings = ::boost::numeric::bindings;
        typedef typename result_of::uplo_tag< MatrixA >::type uplo;
        bindings::detail::array< value_type > tmp_work( min_size_work(
                bindings::size_column(a), bindings::size_column(b) ) );
        bindings::detail::array< value_type > tmp_swork( min_size_swork(
                bindings::size_column(a), bindings::size_column(b) ) );
        bindings::detail::array< real_type > tmp_rwork( min_size_rwork(
                bindings::size_column(a) ) );
        return invoke( a, b, x, iter, workspace( tmp_work, tmp_swork,
                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 MatrixB, typename MatrixX >
    static std::ptrdiff_t invoke( MatrixA& a, const MatrixB& b, MatrixX& x,
            fortran_int_t& iter, optimal_workspace ) {
        namespace bindings = ::boost::numeric::bindings;
        typedef typename result_of::uplo_tag< MatrixA >::type uplo;
        return invoke( a, b, x, iter, 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,
            const std::ptrdiff_t nrhs ) {
        return n*nrhs;
    }

    //
    // Static member function that returns the minimum size of
    // workspace-array swork.
    //
    static std::ptrdiff_t min_size_swork( const std::ptrdiff_t n,
            const std::ptrdiff_t nrhs ) {
        return n*(n+nrhs);
    }

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

//
// Overloaded function for iter_posv. Its overload differs for
// * User-defined workspace
//
template< typename MatrixA, typename MatrixB, typename MatrixX,
        typename Workspace >
inline typename boost::enable_if< detail::is_workspace< Workspace >,
        std::ptrdiff_t >::type
iter_posv( MatrixA& a, const MatrixB& b, MatrixX& x, fortran_int_t& iter,
        Workspace work ) {
    return iter_posv_impl< typename bindings::value_type<
            MatrixA >::type >::invoke( a, b, x, iter, work );
}

//
// Overloaded function for iter_posv. Its overload differs for
// * Default workspace-type (optimal)
//
template< typename MatrixA, typename MatrixB, typename MatrixX >
inline typename boost::disable_if< detail::is_workspace< MatrixX >,
        std::ptrdiff_t >::type
iter_posv( MatrixA& a, const MatrixB& b, MatrixX& x,
        fortran_int_t& iter ) {
    return iter_posv_impl< typename bindings::value_type<
            MatrixA >::type >::invoke( a, b, x, iter, optimal_workspace() );
}

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

#endif
