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394 lines
16 KiB
394 lines
16 KiB
// |
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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_UNMQR_HPP |
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#define BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_UNMQR_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/detail/if_left.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/trans_tag.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 unmqr 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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template< typename Side, typename Trans > |
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inline std::ptrdiff_t unmqr( const Side, const Trans, const fortran_int_t m, |
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const fortran_int_t n, const fortran_int_t k, const float* a, |
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const fortran_int_t lda, const float* tau, float* c, |
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const fortran_int_t ldc, float* work, const fortran_int_t lwork ) { |
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fortran_int_t info(0); |
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LAPACK_SORMQR( &lapack_option< Side >::value, &lapack_option< |
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Trans >::value, &m, &n, &k, a, &lda, tau, c, &ldc, work, &lwork, |
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&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 Side, typename Trans > |
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inline std::ptrdiff_t unmqr( const Side, const Trans, const fortran_int_t m, |
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const fortran_int_t n, const fortran_int_t k, const double* a, |
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const fortran_int_t lda, const double* tau, double* c, |
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const fortran_int_t ldc, double* work, const fortran_int_t lwork ) { |
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fortran_int_t info(0); |
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LAPACK_DORMQR( &lapack_option< Side >::value, &lapack_option< |
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Trans >::value, &m, &n, &k, a, &lda, tau, c, &ldc, work, &lwork, |
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&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 Side, typename Trans > |
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inline std::ptrdiff_t unmqr( const Side, const Trans, const fortran_int_t m, |
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const fortran_int_t n, const fortran_int_t k, |
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const std::complex<float>* a, const fortran_int_t lda, |
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const std::complex<float>* tau, std::complex<float>* c, |
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const fortran_int_t ldc, std::complex<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_CUNMQR( &lapack_option< Side >::value, &lapack_option< |
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Trans >::value, &m, &n, &k, a, &lda, tau, c, &ldc, work, &lwork, |
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&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 Side, typename Trans > |
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inline std::ptrdiff_t unmqr( const Side, const Trans, const fortran_int_t m, |
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const fortran_int_t n, const fortran_int_t k, |
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const std::complex<double>* a, const fortran_int_t lda, |
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const std::complex<double>* tau, std::complex<double>* c, |
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const fortran_int_t ldc, std::complex<double>* work, |
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const fortran_int_t lwork ) { |
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fortran_int_t info(0); |
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LAPACK_ZUNMQR( &lapack_option< Side >::value, &lapack_option< |
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Trans >::value, &m, &n, &k, a, &lda, tau, c, &ldc, work, &lwork, |
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&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 unmqr. |
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// |
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template< typename Value, typename Enable = void > |
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struct unmqr_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 unmqr_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 Side, typename MatrixA, typename VectorTAU, |
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typename MatrixC, typename WORK > |
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static std::ptrdiff_t invoke( const Side side, const MatrixA& a, |
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const VectorTAU& tau, MatrixC& c, detail::workspace1< |
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WORK > work ) { |
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namespace bindings = ::boost::numeric::bindings; |
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typedef typename result_of::data_order< MatrixC >::type order; |
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typedef typename result_of::trans_tag< MatrixA, order >::type trans; |
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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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VectorTAU >::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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MatrixC >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixC >::value) ); |
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BOOST_ASSERT( bindings::size(tau) >= bindings::size(tau) ); |
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BOOST_ASSERT( bindings::size(work.select(real_type())) >= |
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min_size_work( side, bindings::size_row(c), |
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bindings::size_column(c) )); |
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BOOST_ASSERT( bindings::size_column(c) >= 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(c) == 1 || |
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bindings::stride_minor(c) == 1 ); |
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BOOST_ASSERT( bindings::size_row(c) >= 0 ); |
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BOOST_ASSERT( bindings::stride_major(c) >= std::max< std::ptrdiff_t >(1, |
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bindings::size_row(c)) ); |
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return detail::unmqr( side, trans(), bindings::size_row(c), |
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bindings::size_column(c), bindings::size(tau), |
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bindings::begin_value(a), bindings::stride_major(a), |
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bindings::begin_value(tau), bindings::begin_value(c), |
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bindings::stride_major(c), |
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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 Side, typename MatrixA, typename VectorTAU, |
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typename MatrixC > |
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static std::ptrdiff_t invoke( const Side side, const MatrixA& a, |
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const VectorTAU& tau, MatrixC& c, minimal_workspace ) { |
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namespace bindings = ::boost::numeric::bindings; |
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typedef typename result_of::data_order< MatrixC >::type order; |
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typedef typename result_of::trans_tag< MatrixA, order >::type trans; |
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bindings::detail::array< real_type > tmp_work( min_size_work( side, |
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bindings::size_row(c), bindings::size_column(c) ) ); |
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return invoke( side, a, tau, c, 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 Side, typename MatrixA, typename VectorTAU, |
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typename MatrixC > |
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static std::ptrdiff_t invoke( const Side side, const MatrixA& a, |
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const VectorTAU& tau, MatrixC& c, optimal_workspace ) { |
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namespace bindings = ::boost::numeric::bindings; |
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typedef typename result_of::data_order< MatrixC >::type order; |
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typedef typename result_of::trans_tag< MatrixA, order >::type trans; |
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real_type opt_size_work; |
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detail::unmqr( side, trans(), bindings::size_row(c), |
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bindings::size_column(c), bindings::size(tau), |
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bindings::begin_value(a), bindings::stride_major(a), |
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bindings::begin_value(tau), bindings::begin_value(c), |
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bindings::stride_major(c), &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( side, a, tau, c, 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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template< typename Side > |
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static std::ptrdiff_t min_size_work( const Side side, |
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const std::ptrdiff_t m, const std::ptrdiff_t n ) { |
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return std::max< std::ptrdiff_t >( 1, bindings::detail::if_left( side, |
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n, m ) ); |
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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 unmqr_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 Side, typename MatrixA, typename VectorTAU, |
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typename MatrixC, typename WORK > |
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static std::ptrdiff_t invoke( const Side side, const MatrixA& a, |
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const VectorTAU& tau, MatrixC& c, detail::workspace1< |
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WORK > work ) { |
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namespace bindings = ::boost::numeric::bindings; |
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typedef typename result_of::data_order< MatrixC >::type order; |
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typedef typename result_of::trans_tag< MatrixA, order >::type trans; |
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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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VectorTAU >::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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MatrixC >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixC >::value) ); |
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BOOST_ASSERT( bindings::size(tau) >= bindings::size(tau) ); |
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BOOST_ASSERT( bindings::size(work.select(value_type())) >= |
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min_size_work( side, bindings::size_row(c), |
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bindings::size_column(c) )); |
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BOOST_ASSERT( bindings::size_column(c) >= 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(c) == 1 || |
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bindings::stride_minor(c) == 1 ); |
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BOOST_ASSERT( bindings::size_row(c) >= 0 ); |
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BOOST_ASSERT( bindings::stride_major(c) >= std::max< std::ptrdiff_t >(1, |
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bindings::size_row(c)) ); |
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return detail::unmqr( side, trans(), bindings::size_row(c), |
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bindings::size_column(c), bindings::size(tau), |
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bindings::begin_value(a), bindings::stride_major(a), |
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bindings::begin_value(tau), bindings::begin_value(c), |
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bindings::stride_major(c), |
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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 Side, typename MatrixA, typename VectorTAU, |
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typename MatrixC > |
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static std::ptrdiff_t invoke( const Side side, const MatrixA& a, |
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const VectorTAU& tau, MatrixC& c, minimal_workspace ) { |
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namespace bindings = ::boost::numeric::bindings; |
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typedef typename result_of::data_order< MatrixC >::type order; |
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typedef typename result_of::trans_tag< MatrixA, order >::type trans; |
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bindings::detail::array< value_type > tmp_work( min_size_work( side, |
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bindings::size_row(c), bindings::size_column(c) ) ); |
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return invoke( side, a, tau, c, 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 Side, typename MatrixA, typename VectorTAU, |
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typename MatrixC > |
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static std::ptrdiff_t invoke( const Side side, const MatrixA& a, |
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const VectorTAU& tau, MatrixC& c, optimal_workspace ) { |
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namespace bindings = ::boost::numeric::bindings; |
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typedef typename result_of::data_order< MatrixC >::type order; |
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typedef typename result_of::trans_tag< MatrixA, order >::type trans; |
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value_type opt_size_work; |
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detail::unmqr( side, trans(), bindings::size_row(c), |
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bindings::size_column(c), bindings::size(tau), |
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bindings::begin_value(a), bindings::stride_major(a), |
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bindings::begin_value(tau), bindings::begin_value(c), |
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bindings::stride_major(c), &opt_size_work, -1 ); |
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bindings::detail::array< value_type > tmp_work( |
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traits::detail::to_int( opt_size_work ) ); |
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return invoke( side, a, tau, c, 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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template< typename Side > |
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static std::ptrdiff_t min_size_work( const Side side, |
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const std::ptrdiff_t m, const std::ptrdiff_t n ) { |
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return std::max< std::ptrdiff_t >( 1, bindings::detail::if_left( side, |
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n, m ) ); |
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} |
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}; |
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// |
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// Functions for direct use. These functions are overloaded for temporaries, |
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// so that wrapped types can still be passed and used for write-access. In |
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// addition, if applicable, they are overloaded for user-defined workspaces. |
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// Calls to these functions are passed to the unmqr_impl classes. In the |
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// documentation, most overloads are collapsed to avoid a large number of |
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// prototypes which are very similar. |
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// |
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// |
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// Overloaded function for unmqr. Its overload differs for |
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// * User-defined workspace |
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// |
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template< typename Side, typename MatrixA, typename VectorTAU, |
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typename MatrixC, typename Workspace > |
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inline typename boost::enable_if< detail::is_workspace< Workspace >, |
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std::ptrdiff_t >::type |
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unmqr( const Side side, const MatrixA& a, const VectorTAU& tau, |
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MatrixC& c, Workspace work ) { |
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return unmqr_impl< typename bindings::value_type< |
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MatrixA >::type >::invoke( side, a, tau, c, work ); |
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} |
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// |
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// Overloaded function for unmqr. Its overload differs for |
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// * Default workspace-type (optimal) |
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// |
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template< typename Side, typename MatrixA, typename VectorTAU, |
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typename MatrixC > |
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inline typename boost::disable_if< detail::is_workspace< MatrixC >, |
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std::ptrdiff_t >::type |
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unmqr( const Side side, const MatrixA& a, const VectorTAU& tau, |
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MatrixC& c ) { |
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return unmqr_impl< typename bindings::value_type< |
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MatrixA >::type >::invoke( side, a, tau, c, optimal_workspace() ); |
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} |
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} // namespace lapack |
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} // namespace bindings |
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} // namespace numeric |
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} // namespace boost |
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#endif
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