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379 lines
16 KiB
379 lines
16 KiB
7 years ago
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//
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// Copyright (c) 2002--2010
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// Toon Knapen, Karl Meerbergen, Kresimir Fresl,
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// Thomas Klimpel and Rutger ter Borg
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//
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// Distributed under the Boost Software License, Version 1.0.
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// (See accompanying file LICENSE_1_0.txt or copy at
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// http://www.boost.org/LICENSE_1_0.txt)
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//
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// THIS FILE IS AUTOMATICALLY GENERATED
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// PLEASE DO NOT EDIT!
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//
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#ifndef BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_TGEXC_HPP
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#define BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_TGEXC_HPP
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#include <boost/assert.hpp>
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#include <boost/numeric/bindings/begin.hpp>
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#include <boost/numeric/bindings/detail/array.hpp>
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#include <boost/numeric/bindings/is_column_major.hpp>
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#include <boost/numeric/bindings/is_complex.hpp>
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#include <boost/numeric/bindings/is_mutable.hpp>
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#include <boost/numeric/bindings/is_real.hpp>
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#include <boost/numeric/bindings/lapack/workspace.hpp>
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#include <boost/numeric/bindings/remove_imaginary.hpp>
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#include <boost/numeric/bindings/size.hpp>
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#include <boost/numeric/bindings/stride.hpp>
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#include <boost/numeric/bindings/traits/detail/utils.hpp>
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#include <boost/numeric/bindings/value_type.hpp>
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#include <boost/static_assert.hpp>
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#include <boost/type_traits/is_same.hpp>
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#include <boost/type_traits/remove_const.hpp>
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#include <boost/utility/enable_if.hpp>
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//
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// The LAPACK-backend for tgexc is the netlib-compatible backend.
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//
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#include <boost/numeric/bindings/lapack/detail/lapack.h>
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#include <boost/numeric/bindings/lapack/detail/lapack_option.hpp>
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namespace boost {
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namespace numeric {
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namespace bindings {
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namespace lapack {
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//
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// The detail namespace contains value-type-overloaded functions that
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// dispatch to the appropriate back-end LAPACK-routine.
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//
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namespace detail {
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//
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// Overloaded function for dispatching to
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// * netlib-compatible LAPACK backend (the default), and
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// * float value-type.
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//
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inline std::ptrdiff_t tgexc( const fortran_bool_t wantq,
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const fortran_bool_t wantz, const fortran_int_t n, float* a,
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const fortran_int_t lda, float* b, const fortran_int_t ldb, float* q,
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const fortran_int_t ldq, float* z, const fortran_int_t ldz,
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fortran_int_t& ifst, fortran_int_t& ilst, float* work,
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const fortran_int_t lwork ) {
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fortran_int_t info(0);
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LAPACK_STGEXC( &wantq, &wantz, &n, a, &lda, b, &ldb, q, &ldq, z, &ldz,
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&ifst, &ilst, work, &lwork, &info );
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return info;
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}
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//
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// Overloaded function for dispatching to
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// * netlib-compatible LAPACK backend (the default), and
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// * double value-type.
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//
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inline std::ptrdiff_t tgexc( const fortran_bool_t wantq,
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const fortran_bool_t wantz, const fortran_int_t n, double* a,
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const fortran_int_t lda, double* b, const fortran_int_t ldb,
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double* q, const fortran_int_t ldq, double* z,
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const fortran_int_t ldz, fortran_int_t& ifst, fortran_int_t& ilst,
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double* work, const fortran_int_t lwork ) {
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fortran_int_t info(0);
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LAPACK_DTGEXC( &wantq, &wantz, &n, a, &lda, b, &ldb, q, &ldq, z, &ldz,
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&ifst, &ilst, work, &lwork, &info );
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return info;
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}
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//
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// Overloaded function for dispatching to
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// * netlib-compatible LAPACK backend (the default), and
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// * complex<float> value-type.
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//
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inline std::ptrdiff_t tgexc( const fortran_bool_t wantq,
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const fortran_bool_t wantz, const fortran_int_t n,
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std::complex<float>* a, const fortran_int_t lda,
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std::complex<float>* b, const fortran_int_t ldb,
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std::complex<float>* q, const fortran_int_t ldq,
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std::complex<float>* z, const fortran_int_t ldz,
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const fortran_int_t ifst, fortran_int_t& ilst ) {
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fortran_int_t info(0);
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LAPACK_CTGEXC( &wantq, &wantz, &n, a, &lda, b, &ldb, q, &ldq, z, &ldz,
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&ifst, &ilst, &info );
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return info;
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}
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//
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// Overloaded function for dispatching to
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// * netlib-compatible LAPACK backend (the default), and
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// * complex<double> value-type.
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//
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inline std::ptrdiff_t tgexc( const fortran_bool_t wantq,
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const fortran_bool_t wantz, const fortran_int_t n,
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std::complex<double>* a, const fortran_int_t lda,
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std::complex<double>* b, const fortran_int_t ldb,
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std::complex<double>* q, const fortran_int_t ldq,
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std::complex<double>* z, const fortran_int_t ldz,
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const fortran_int_t ifst, fortran_int_t& ilst ) {
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fortran_int_t info(0);
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LAPACK_ZTGEXC( &wantq, &wantz, &n, a, &lda, b, &ldb, q, &ldq, z, &ldz,
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&ifst, &ilst, &info );
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return info;
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}
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} // namespace detail
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//
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// Value-type based template class. Use this class if you need a type
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// for dispatching to tgexc.
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//
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template< typename Value, typename Enable = void >
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struct tgexc_impl {};
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//
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// This implementation is enabled if Value is a real type.
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//
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template< typename Value >
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struct tgexc_impl< Value, typename boost::enable_if< is_real< Value > >::type > {
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typedef Value value_type;
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typedef typename remove_imaginary< Value >::type real_type;
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//
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// Static member function for user-defined workspaces, that
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// * Deduces the required arguments for dispatching to LAPACK, and
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// * Asserts that most arguments make sense.
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//
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template< typename MatrixA, typename MatrixB, typename MatrixQ,
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typename MatrixZ, typename WORK >
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static std::ptrdiff_t invoke( const fortran_bool_t wantq,
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const fortran_bool_t wantz, MatrixA& a, MatrixB& b, MatrixQ& q,
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MatrixZ& z, fortran_int_t& ifst, fortran_int_t& ilst,
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detail::workspace1< WORK > work ) {
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namespace bindings = ::boost::numeric::bindings;
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixA >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixB >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixQ >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixZ >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< MatrixA >::type >::type,
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typename remove_const< typename bindings::value_type<
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MatrixB >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< MatrixA >::type >::type,
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typename remove_const< typename bindings::value_type<
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MatrixQ >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< MatrixA >::type >::type,
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typename remove_const< typename bindings::value_type<
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MatrixZ >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixA >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixB >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixQ >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixZ >::value) );
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BOOST_ASSERT( bindings::size(work.select(real_type())) >=
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min_size_work( bindings::size_column(a) ));
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BOOST_ASSERT( bindings::size_column(a) >= 0 );
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BOOST_ASSERT( bindings::size_minor(a) == 1 ||
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bindings::stride_minor(a) == 1 );
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BOOST_ASSERT( bindings::size_minor(b) == 1 ||
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bindings::stride_minor(b) == 1 );
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BOOST_ASSERT( bindings::size_minor(q) == 1 ||
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bindings::stride_minor(q) == 1 );
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BOOST_ASSERT( bindings::size_minor(z) == 1 ||
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bindings::stride_minor(z) == 1 );
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BOOST_ASSERT( bindings::stride_major(a) >= std::max< std::ptrdiff_t >(1,
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bindings::size_column(a)) );
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BOOST_ASSERT( bindings::stride_major(b) >= std::max< std::ptrdiff_t >(1,
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bindings::size_column(a)) );
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return detail::tgexc( wantq, wantz, bindings::size_column(a),
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bindings::begin_value(a), bindings::stride_major(a),
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bindings::begin_value(b), bindings::stride_major(b),
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bindings::begin_value(q), bindings::stride_major(q),
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bindings::begin_value(z), bindings::stride_major(z), ifst,
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ilst, bindings::begin_value(work.select(real_type())),
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bindings::size(work.select(real_type())) );
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}
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//
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// Static member function that
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// * Figures out the minimal workspace requirements, and passes
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// the results to the user-defined workspace overload of the
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// invoke static member function
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// * Enables the unblocked algorithm (BLAS level 2)
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//
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template< typename MatrixA, typename MatrixB, typename MatrixQ,
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typename MatrixZ >
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static std::ptrdiff_t invoke( const fortran_bool_t wantq,
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const fortran_bool_t wantz, MatrixA& a, MatrixB& b, MatrixQ& q,
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MatrixZ& z, fortran_int_t& ifst, fortran_int_t& ilst,
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minimal_workspace ) {
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namespace bindings = ::boost::numeric::bindings;
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bindings::detail::array< real_type > tmp_work( min_size_work(
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bindings::size_column(a) ) );
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return invoke( wantq, wantz, a, b, q, z, ifst, ilst,
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workspace( tmp_work ) );
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}
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//
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// Static member function that
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// * Figures out the optimal workspace requirements, and passes
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// the results to the user-defined workspace overload of the
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// invoke static member
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// * Enables the blocked algorithm (BLAS level 3)
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//
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template< typename MatrixA, typename MatrixB, typename MatrixQ,
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typename MatrixZ >
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static std::ptrdiff_t invoke( const fortran_bool_t wantq,
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const fortran_bool_t wantz, MatrixA& a, MatrixB& b, MatrixQ& q,
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MatrixZ& z, fortran_int_t& ifst, fortran_int_t& ilst,
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optimal_workspace ) {
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namespace bindings = ::boost::numeric::bindings;
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real_type opt_size_work;
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detail::tgexc( wantq, wantz, bindings::size_column(a),
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bindings::begin_value(a), bindings::stride_major(a),
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bindings::begin_value(b), bindings::stride_major(b),
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bindings::begin_value(q), bindings::stride_major(q),
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bindings::begin_value(z), bindings::stride_major(z), ifst,
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ilst, &opt_size_work, -1 );
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bindings::detail::array< real_type > tmp_work(
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traits::detail::to_int( opt_size_work ) );
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return invoke( wantq, wantz, a, b, q, z, ifst, ilst,
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workspace( tmp_work ) );
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}
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//
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// Static member function that returns the minimum size of
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// workspace-array work.
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//
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static std::ptrdiff_t min_size_work( const std::ptrdiff_t n ) {
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if (n <= 1)
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return 1;
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else
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return 4*n + 16;
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}
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};
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//
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// This implementation is enabled if Value is a complex type.
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//
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template< typename Value >
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struct tgexc_impl< Value, typename boost::enable_if< is_complex< Value > >::type > {
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typedef Value value_type;
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typedef typename remove_imaginary< Value >::type real_type;
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//
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// Static member function, that
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// * Deduces the required arguments for dispatching to LAPACK, and
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// * Asserts that most arguments make sense.
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//
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template< typename MatrixA, typename MatrixB, typename MatrixQ,
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typename MatrixZ >
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static std::ptrdiff_t invoke( const fortran_bool_t wantq,
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const fortran_bool_t wantz, MatrixA& a, MatrixB& b, MatrixQ& q,
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MatrixZ& z, const fortran_int_t ifst,
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fortran_int_t& ilst ) {
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namespace bindings = ::boost::numeric::bindings;
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixA >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixB >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixQ >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixZ >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< MatrixA >::type >::type,
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typename remove_const< typename bindings::value_type<
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MatrixB >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< MatrixA >::type >::type,
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typename remove_const< typename bindings::value_type<
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MatrixQ >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< MatrixA >::type >::type,
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typename remove_const< typename bindings::value_type<
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MatrixZ >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixA >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixB >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixQ >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixZ >::value) );
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BOOST_ASSERT( bindings::size_column(a) >= 0 );
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BOOST_ASSERT( bindings::size_minor(a) == 1 ||
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bindings::stride_minor(a) == 1 );
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BOOST_ASSERT( bindings::size_minor(b) == 1 ||
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bindings::stride_minor(b) == 1 );
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BOOST_ASSERT( bindings::size_minor(q) == 1 ||
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bindings::stride_minor(q) == 1 );
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BOOST_ASSERT( bindings::size_minor(z) == 1 ||
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bindings::stride_minor(z) == 1 );
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BOOST_ASSERT( bindings::stride_major(a) >= std::max< std::ptrdiff_t >(1,
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bindings::size_column(a)) );
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BOOST_ASSERT( bindings::stride_major(b) >= std::max< std::ptrdiff_t >(1,
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bindings::size_column(a)) );
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return detail::tgexc( wantq, wantz, bindings::size_column(a),
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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
|