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400 lines
15 KiB
400 lines
15 KiB
6 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_GETRI_HPP
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#define BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_GETRI_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/data_order.hpp>
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#include <boost/numeric/bindings/detail/array.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 getri is selected by defining a pre-processor
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// variable, which can be one of
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// * for ATLAS's CLAPACK, define BOOST_NUMERIC_BINDINGS_LAPACK_CLAPACK
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// * netlib-compatible LAPACK is the default
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//
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#if defined BOOST_NUMERIC_BINDINGS_LAPACK_CLAPACK
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#include <boost/numeric/bindings/lapack/detail/clapack.h>
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#include <boost/numeric/bindings/lapack/detail/clapack_option.hpp>
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#else
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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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#endif
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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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#if defined BOOST_NUMERIC_BINDINGS_LAPACK_CLAPACK
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//
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// Overloaded function for dispatching to
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// * ATLAS's CLAPACK backend, and
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// * float value-type.
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//
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template< typename Order >
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inline std::ptrdiff_t getri( Order, const int n, float* a, const int lda,
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const int* ipiv, float* work, const int lwork ) {
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return clapack_sgetri( clapack_option< Order >::value, n, a, lda, ipiv );
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}
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//
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// Overloaded function for dispatching to
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// * ATLAS's CLAPACK backend, and
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// * double value-type.
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//
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template< typename Order >
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inline std::ptrdiff_t getri( Order, const int n, double* a, const int lda,
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const int* ipiv, double* work, const int lwork ) {
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return clapack_dgetri( clapack_option< Order >::value, n, a, lda, ipiv );
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}
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//
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// Overloaded function for dispatching to
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// * ATLAS's CLAPACK backend, and
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// * complex<float> value-type.
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//
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template< typename Order >
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inline std::ptrdiff_t getri( Order, const int n, std::complex<float>* a,
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const int lda, const int* ipiv, std::complex<float>* work,
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const int lwork ) {
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return clapack_cgetri( clapack_option< Order >::value, n, a, lda, ipiv );
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}
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//
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// Overloaded function for dispatching to
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// * ATLAS's CLAPACK backend, and
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// * complex<double> value-type.
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//
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template< typename Order >
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inline std::ptrdiff_t getri( Order, const int n, std::complex<double>* a,
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const int lda, const int* ipiv, std::complex<double>* work,
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const int lwork ) {
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return clapack_zgetri( clapack_option< Order >::value, n, a, lda, ipiv );
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}
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#else
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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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template< typename Order >
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inline std::ptrdiff_t getri( Order, const fortran_int_t n, float* a,
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const fortran_int_t lda, const fortran_int_t* ipiv, float* work,
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const fortran_int_t lwork ) {
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BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
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fortran_int_t info(0);
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LAPACK_SGETRI( &n, a, &lda, ipiv, 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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template< typename Order >
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inline std::ptrdiff_t getri( Order, const fortran_int_t n, double* a,
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const fortran_int_t lda, const fortran_int_t* ipiv, double* work,
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const fortran_int_t lwork ) {
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BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
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fortran_int_t info(0);
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LAPACK_DGETRI( &n, a, &lda, ipiv, 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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template< typename Order >
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inline std::ptrdiff_t getri( Order, const fortran_int_t n,
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std::complex<float>* a, const fortran_int_t lda,
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const fortran_int_t* ipiv, std::complex<float>* work,
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const fortran_int_t lwork ) {
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BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
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fortran_int_t info(0);
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LAPACK_CGETRI( &n, a, &lda, ipiv, 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<double> value-type.
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//
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template< typename Order >
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inline std::ptrdiff_t getri( Order, const fortran_int_t n,
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std::complex<double>* a, const fortran_int_t lda,
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const fortran_int_t* ipiv, std::complex<double>* work,
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const fortran_int_t lwork ) {
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BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
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fortran_int_t info(0);
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LAPACK_ZGETRI( &n, a, &lda, ipiv, work, &lwork, &info );
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return info;
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}
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#endif
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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 getri.
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//
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template< typename Value, typename Enable = void >
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struct getri_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 getri_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 VectorIPIV, typename WORK >
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static std::ptrdiff_t invoke( MatrixA& a, const VectorIPIV& ipiv,
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detail::workspace1< WORK > work ) {
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namespace bindings = ::boost::numeric::bindings;
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typedef typename result_of::data_order< MatrixA >::type order;
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixA >::value) );
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BOOST_ASSERT( bindings::size(ipiv) >= bindings::size_column(a) );
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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::stride_major(a) >= std::max< std::ptrdiff_t >(1,
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bindings::size_column(a)) );
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return detail::getri( order(), bindings::size_column(a),
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bindings::begin_value(a), bindings::stride_major(a),
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bindings::begin_value(ipiv),
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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 VectorIPIV >
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static std::ptrdiff_t invoke( MatrixA& a, const VectorIPIV& ipiv,
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minimal_workspace ) {
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namespace bindings = ::boost::numeric::bindings;
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typedef typename result_of::data_order< MatrixA >::type order;
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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( a, ipiv, 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 VectorIPIV >
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static std::ptrdiff_t invoke( MatrixA& a, const VectorIPIV& ipiv,
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optimal_workspace ) {
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namespace bindings = ::boost::numeric::bindings;
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typedef typename result_of::data_order< MatrixA >::type order;
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#if defined BOOST_NUMERIC_BINDINGS_LAPACK_CLAPACK
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bindings::detail::array< real_type > tmp_work( 0 );
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#else
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real_type opt_size_work;
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detail::getri( order(), bindings::size_column(a),
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bindings::begin_value(a), bindings::stride_major(a),
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bindings::begin_value(ipiv), &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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#endif
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return invoke( a, ipiv, 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 defined BOOST_NUMERIC_BINDINGS_LAPACK_CLAPACK
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return 0;
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#else
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return std::max< std::ptrdiff_t >(1,n);
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#endif
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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 getri_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 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 VectorIPIV, typename WORK >
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static std::ptrdiff_t invoke( MatrixA& a, const VectorIPIV& ipiv,
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detail::workspace1< WORK > work ) {
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namespace bindings = ::boost::numeric::bindings;
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typedef typename result_of::data_order< MatrixA >::type order;
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixA >::value) );
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BOOST_ASSERT( bindings::size(ipiv) >= bindings::size_column(a) );
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BOOST_ASSERT( bindings::size(work.select(value_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::stride_major(a) >= std::max< std::ptrdiff_t >(1,
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bindings::size_column(a)) );
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return detail::getri( order(), bindings::size_column(a),
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bindings::begin_value(a), bindings::stride_major(a),
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bindings::begin_value(ipiv),
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bindings::begin_value(work.select(value_type())),
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bindings::size(work.select(value_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 VectorIPIV >
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static std::ptrdiff_t invoke( MatrixA& a, const VectorIPIV& ipiv,
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minimal_workspace ) {
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namespace bindings = ::boost::numeric::bindings;
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typedef typename result_of::data_order< MatrixA >::type order;
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bindings::detail::array< value_type > tmp_work( min_size_work(
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bindings::size_column(a) ) );
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return invoke( a, ipiv, 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 VectorIPIV >
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static std::ptrdiff_t invoke( MatrixA& a, const VectorIPIV& ipiv,
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optimal_workspace ) {
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namespace bindings = ::boost::numeric::bindings;
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typedef typename result_of::data_order< MatrixA >::type order;
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#if defined BOOST_NUMERIC_BINDINGS_LAPACK_CLAPACK
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bindings::detail::array< value_type > tmp_work( 0 );
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#else
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value_type opt_size_work;
|
||
|
|
detail::getri( order(), bindings::size_column(a),
|
||
|
|
bindings::begin_value(a), bindings::stride_major(a),
|
||
|
|
bindings::begin_value(ipiv), &opt_size_work, -1 );
|
||
|
|
bindings::detail::array< value_type > tmp_work(
|
||
|
|
traits::detail::to_int( opt_size_work ) );
|
||
|
|
#endif
|
||
|
|
return invoke( a, ipiv, 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 defined BOOST_NUMERIC_BINDINGS_LAPACK_CLAPACK
|
||
|
|
return 0;
|
||
|
|
#else
|
||
|
|
return std::max< std::ptrdiff_t >(1,n);
|
||
|
|
#endif
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
|
||
|
|
//
|
||
|
|
// 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 getri_impl classes. In the
|
||
|
|
// documentation, most overloads are collapsed to avoid a large number of
|
||
|
|
// prototypes which are very similar.
|
||
|
|
//
|
||
|
|
|
||
|
|
//
|
||
|
|
// Overloaded function for getri. Its overload differs for
|
||
|
|
// * User-defined workspace
|
||
|
|
//
|
||
|
|
template< typename MatrixA, typename VectorIPIV, typename Workspace >
|
||
|
|
inline typename boost::enable_if< detail::is_workspace< Workspace >,
|
||
|
|
std::ptrdiff_t >::type
|
||
|
|
getri( MatrixA& a, const VectorIPIV& ipiv, Workspace work ) {
|
||
|
|
return getri_impl< typename bindings::value_type<
|
||
|
|
MatrixA >::type >::invoke( a, ipiv, work );
|
||
|
|
}
|
||
|
|
|
||
|
|
//
|
||
|
|
// Overloaded function for getri. Its overload differs for
|
||
|
|
// * Default workspace-type (optimal)
|
||
|
|
//
|
||
|
|
template< typename MatrixA, typename VectorIPIV >
|
||
|
|
inline typename boost::disable_if< detail::is_workspace< VectorIPIV >,
|
||
|
|
std::ptrdiff_t >::type
|
||
|
|
getri( MatrixA& a, const VectorIPIV& ipiv ) {
|
||
|
|
return getri_impl< typename bindings::value_type<
|
||
|
|
MatrixA >::type >::invoke( a, ipiv, optimal_workspace() );
|
||
|
|
}
|
||
|
|
|
||
|
|
} // namespace lapack
|
||
|
|
} // namespace bindings
|
||
|
|
} // namespace numeric
|
||
|
|
} // namespace boost
|
||
|
|
|
||
|
|
#endif
|