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493 lines
22 KiB
493 lines
22 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_DRIVER_GELSD_HPP |
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#define BOOST_NUMERIC_BINDINGS_LAPACK_DRIVER_GELSD_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/auxiliary/ilaenv.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 gelsd 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 gelsd( const fortran_int_t m, const fortran_int_t n, |
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const fortran_int_t nrhs, float* a, const fortran_int_t lda, float* b, |
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const fortran_int_t ldb, float* s, const float rcond, |
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fortran_int_t& rank, float* work, const fortran_int_t lwork, |
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fortran_int_t* iwork ) { |
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fortran_int_t info(0); |
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LAPACK_SGELSD( &m, &n, &nrhs, a, &lda, b, &ldb, s, &rcond, &rank, work, |
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&lwork, iwork, &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 gelsd( const fortran_int_t m, const fortran_int_t n, |
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const fortran_int_t nrhs, double* a, const fortran_int_t lda, |
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double* b, const fortran_int_t ldb, double* s, const double rcond, |
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fortran_int_t& rank, double* work, const fortran_int_t lwork, |
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fortran_int_t* iwork ) { |
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fortran_int_t info(0); |
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LAPACK_DGELSD( &m, &n, &nrhs, a, &lda, b, &ldb, s, &rcond, &rank, work, |
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&lwork, iwork, &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 gelsd( const fortran_int_t m, const fortran_int_t n, |
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const fortran_int_t nrhs, std::complex<float>* a, |
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const fortran_int_t lda, std::complex<float>* b, |
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const fortran_int_t ldb, float* s, const float rcond, |
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fortran_int_t& rank, std::complex<float>* work, |
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const fortran_int_t lwork, float* rwork, fortran_int_t* iwork ) { |
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fortran_int_t info(0); |
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LAPACK_CGELSD( &m, &n, &nrhs, a, &lda, b, &ldb, s, &rcond, &rank, work, |
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&lwork, rwork, iwork, &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 gelsd( const fortran_int_t m, const fortran_int_t n, |
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const fortran_int_t nrhs, const std::complex<double>* a, |
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const fortran_int_t lda, std::complex<double>* b, |
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const fortran_int_t ldb, double* s, const double rcond, |
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fortran_int_t& rank, std::complex<double>* work, |
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const fortran_int_t lwork, double* rwork, fortran_int_t* iwork ) { |
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fortran_int_t info(0); |
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LAPACK_ZGELSD( &m, &n, &nrhs, a, &lda, b, &ldb, s, &rcond, &rank, work, |
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&lwork, rwork, iwork, &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 gelsd. |
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// |
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template< typename Value, typename Enable = void > |
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struct gelsd_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 gelsd_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 VectorS, |
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typename WORK, typename IWORK > |
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static std::ptrdiff_t invoke( MatrixA& a, MatrixB& b, VectorS& s, |
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const real_type rcond, fortran_int_t& rank, |
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detail::workspace2< WORK, IWORK > 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( (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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VectorS >::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< VectorS >::value) ); |
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std::ptrdiff_t minmn = std::min< std::ptrdiff_t >( size_row(a), |
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size_column(a) ); |
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std::ptrdiff_t smlsiz = ilaenv(9, "GELSD", ""); |
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std::ptrdiff_t nlvl = std::max< |
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std::ptrdiff_t >( static_cast<std::ptrdiff_t>(std::log( |
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static_cast<real_type>(minmn)/static_cast<real_type>(smlsiz+ |
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1))/std::log(2.0)) + 1, 0 ); |
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BOOST_ASSERT( bindings::size(s) >= std::min< |
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std::ptrdiff_t >(bindings::size_row(a), |
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bindings::size_column(a)) ); |
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BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >= |
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min_size_iwork( minmn, nlvl )); |
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BOOST_ASSERT( bindings::size(work.select(real_type())) >= |
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min_size_work( minmn, smlsiz, nlvl, |
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bindings::size_column(b) )); |
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BOOST_ASSERT( bindings::size_column(a) >= 0 ); |
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BOOST_ASSERT( bindings::size_column(b) >= 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_row(a) >= 0 ); |
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BOOST_ASSERT( bindings::stride_major(a) >= std::max< std::ptrdiff_t >(1, |
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bindings::size_row(a)) ); |
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BOOST_ASSERT( bindings::stride_major(b) >= std::max< std::ptrdiff_t >(1, |
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std::max< std::ptrdiff_t >(bindings::size_row(a), |
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bindings::size_column(a))) ); |
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return detail::gelsd( bindings::size_row(a), bindings::size_column(a), |
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bindings::size_column(b), bindings::begin_value(a), |
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bindings::stride_major(a), bindings::begin_value(b), |
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bindings::stride_major(b), bindings::begin_value(s), rcond, |
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rank, bindings::begin_value(work.select(real_type())), |
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bindings::size(work.select(real_type())), |
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bindings::begin_value(work.select(fortran_int_t())) ); |
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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 VectorS > |
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static std::ptrdiff_t invoke( MatrixA& a, MatrixB& b, VectorS& s, |
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const real_type rcond, fortran_int_t& rank, |
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minimal_workspace ) { |
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namespace bindings = ::boost::numeric::bindings; |
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std::ptrdiff_t minmn = std::min< std::ptrdiff_t >( size_row(a), |
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size_column(a) ); |
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std::ptrdiff_t smlsiz = ilaenv(9, "GELSD", ""); |
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std::ptrdiff_t nlvl = std::max< |
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std::ptrdiff_t >( static_cast<std::ptrdiff_t>(std::log( |
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static_cast<real_type>(minmn)/static_cast<real_type>(smlsiz+ |
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1))/std::log(2.0)) + 1, 0 ); |
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bindings::detail::array< real_type > tmp_work( min_size_work( minmn, |
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smlsiz, nlvl, bindings::size_column(b) ) ); |
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bindings::detail::array< fortran_int_t > tmp_iwork( |
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min_size_iwork( minmn, nlvl ) ); |
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return invoke( a, b, s, rcond, rank, workspace( tmp_work, |
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tmp_iwork ) ); |
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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 VectorS > |
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static std::ptrdiff_t invoke( MatrixA& a, MatrixB& b, VectorS& s, |
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const real_type rcond, fortran_int_t& rank, |
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optimal_workspace ) { |
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namespace bindings = ::boost::numeric::bindings; |
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std::ptrdiff_t minmn = std::min< std::ptrdiff_t >( size_row(a), |
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size_column(a) ); |
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std::ptrdiff_t smlsiz = ilaenv(9, "GELSD", ""); |
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std::ptrdiff_t nlvl = std::max< |
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std::ptrdiff_t >( static_cast<std::ptrdiff_t>(std::log( |
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static_cast<real_type>(minmn)/static_cast<real_type>(smlsiz+ |
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1))/std::log(2.0)) + 1, 0 ); |
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real_type opt_size_work; |
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bindings::detail::array< fortran_int_t > tmp_iwork( |
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min_size_iwork( minmn, nlvl ) ); |
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detail::gelsd( bindings::size_row(a), bindings::size_column(a), |
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bindings::size_column(b), bindings::begin_value(a), |
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bindings::stride_major(a), bindings::begin_value(b), |
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bindings::stride_major(b), bindings::begin_value(s), rcond, |
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rank, &opt_size_work, -1, bindings::begin_value(tmp_iwork) ); |
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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( a, b, s, rcond, rank, workspace( tmp_work, |
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tmp_iwork ) ); |
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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 minmn, |
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const std::ptrdiff_t smlsiz, const std::ptrdiff_t nlvl, |
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const std::ptrdiff_t nrhs ) { |
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std::ptrdiff_t smlsiz_plus_one = smlsiz + 1; |
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return std::max< std::ptrdiff_t >( 1, 12*minmn + 2*minmn*smlsiz + |
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8*minmn*nlvl + minmn*nrhs + |
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smlsiz_plus_one * smlsiz_plus_one ); |
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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 iwork. |
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// |
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static std::ptrdiff_t min_size_iwork( const std::ptrdiff_t minmn, |
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const std::ptrdiff_t nlvl ) { |
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return std::max< std::ptrdiff_t >( 1, 3*minmn*nlvl + 11*minmn ); |
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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 gelsd_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 MatrixB, typename VectorS, |
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typename WORK, typename RWORK, typename IWORK > |
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static std::ptrdiff_t invoke( MatrixA& a, MatrixB& b, VectorS& s, |
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const real_type rcond, fortran_int_t& rank, |
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detail::workspace3< WORK, RWORK, IWORK > 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( (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( (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< VectorS >::value) ); |
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std::ptrdiff_t minmn = std::min< std::ptrdiff_t >( size_row(a), |
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size_column(a) ); |
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std::ptrdiff_t smlsiz = ilaenv(9, "GELSD", ""); |
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std::ptrdiff_t nlvl = std::max< |
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std::ptrdiff_t >( static_cast<std::ptrdiff_t>(std::log( |
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static_cast<real_type>(minmn)/static_cast<real_type>(smlsiz+ |
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1))/std::log(2.0)) + 1, 0 ); |
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BOOST_ASSERT( bindings::size(s) >= std::min< |
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std::ptrdiff_t >(bindings::size_row(a), |
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bindings::size_column(a)) ); |
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BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >= |
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min_size_iwork( minmn, nlvl )); |
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BOOST_ASSERT( bindings::size(work.select(real_type())) >= |
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min_size_rwork( minmn, smlsiz, nlvl, |
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bindings::size_column(b) )); |
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BOOST_ASSERT( bindings::size(work.select(value_type())) >= |
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min_size_work( bindings::size_column(a), minmn, |
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bindings::size_column(b) )); |
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BOOST_ASSERT( bindings::size_column(a) >= 0 ); |
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BOOST_ASSERT( bindings::size_column(b) >= 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_row(a) >= 0 ); |
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BOOST_ASSERT( bindings::stride_major(a) >= std::max< std::ptrdiff_t >(1, |
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bindings::size_row(a)) ); |
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BOOST_ASSERT( bindings::stride_major(b) >= std::max< std::ptrdiff_t >(1, |
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std::max< std::ptrdiff_t >(bindings::size_row(a), |
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bindings::size_column(a))) ); |
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return detail::gelsd( bindings::size_row(a), bindings::size_column(a), |
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bindings::size_column(b), bindings::begin_value(a), |
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bindings::stride_major(a), bindings::begin_value(b), |
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bindings::stride_major(b), bindings::begin_value(s), rcond, |
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rank, bindings::begin_value(work.select(value_type())), |
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bindings::size(work.select(value_type())), |
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bindings::begin_value(work.select(real_type())), |
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bindings::begin_value(work.select(fortran_int_t())) ); |
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} |
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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 VectorS > |
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static std::ptrdiff_t invoke( MatrixA& a, MatrixB& b, VectorS& s, |
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const real_type rcond, fortran_int_t& rank, |
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minimal_workspace ) { |
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namespace bindings = ::boost::numeric::bindings; |
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std::ptrdiff_t minmn = std::min< std::ptrdiff_t >( size_row(a), |
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size_column(a) ); |
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std::ptrdiff_t smlsiz = ilaenv(9, "GELSD", ""); |
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std::ptrdiff_t nlvl = std::max< |
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std::ptrdiff_t >( static_cast<std::ptrdiff_t>(std::log( |
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static_cast<real_type>(minmn)/static_cast<real_type>(smlsiz+ |
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1))/std::log(2.0)) + 1, 0 ); |
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bindings::detail::array< value_type > tmp_work( min_size_work( |
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bindings::size_column(a), minmn, bindings::size_column(b) ) ); |
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bindings::detail::array< real_type > tmp_rwork( min_size_rwork( minmn, |
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smlsiz, nlvl, bindings::size_column(b) ) ); |
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bindings::detail::array< fortran_int_t > tmp_iwork( |
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min_size_iwork( minmn, nlvl ) ); |
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return invoke( a, b, s, rcond, rank, workspace( tmp_work, tmp_rwork, |
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tmp_iwork ) ); |
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} |
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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 VectorS > |
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static std::ptrdiff_t invoke( MatrixA& a, MatrixB& b, VectorS& s, |
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const real_type rcond, fortran_int_t& rank, |
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optimal_workspace ) { |
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namespace bindings = ::boost::numeric::bindings; |
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std::ptrdiff_t minmn = std::min< std::ptrdiff_t >( size_row(a), |
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size_column(a) ); |
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std::ptrdiff_t smlsiz = ilaenv(9, "GELSD", ""); |
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std::ptrdiff_t nlvl = std::max< |
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std::ptrdiff_t >( static_cast<std::ptrdiff_t>(std::log( |
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static_cast<real_type>(minmn)/static_cast<real_type>(smlsiz+ |
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1))/std::log(2.0)) + 1, 0 ); |
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value_type opt_size_work; |
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bindings::detail::array< real_type > tmp_rwork( min_size_rwork( minmn, |
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smlsiz, nlvl, bindings::size_column(b) ) ); |
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bindings::detail::array< fortran_int_t > tmp_iwork( |
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min_size_iwork( minmn, nlvl ) ); |
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detail::gelsd( bindings::size_row(a), bindings::size_column(a), |
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bindings::size_column(b), bindings::begin_value(a), |
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bindings::stride_major(a), bindings::begin_value(b), |
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bindings::stride_major(b), bindings::begin_value(s), rcond, |
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rank, &opt_size_work, -1, bindings::begin_value(tmp_rwork), |
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bindings::begin_value(tmp_iwork) ); |
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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( a, b, s, rcond, rank, workspace( tmp_work, tmp_rwork, |
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tmp_iwork ) ); |
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} |
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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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const std::ptrdiff_t minmn, const std::ptrdiff_t nrhs ) { |
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return std::max< std::ptrdiff_t >( 1, 2*minmn + std::max< |
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std::ptrdiff_t >( n, minmn*nrhs ) ); |
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} |
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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 rwork. |
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// |
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static std::ptrdiff_t min_size_rwork( const std::ptrdiff_t minmn, |
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const std::ptrdiff_t smlsiz, const std::ptrdiff_t nlvl, |
|
const std::ptrdiff_t nrhs ) { |
|
std::ptrdiff_t smlsiz_plus_one = smlsiz + 1; |
|
return std::max< std::ptrdiff_t >( 1, 10*minmn + 2*minmn*smlsiz + |
|
8*minmn*nlvl + 3*smlsiz*nrhs + |
|
smlsiz_plus_one * smlsiz_plus_one ); |
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} |
|
|
|
// |
|
// Static member function that returns the minimum size of |
|
// workspace-array iwork. |
|
// |
|
static std::ptrdiff_t min_size_iwork( const std::ptrdiff_t minmn, |
|
const std::ptrdiff_t nlvl ) { |
|
return std::max< std::ptrdiff_t >( 1, 3*minmn*nlvl + 11*minmn ); |
|
} |
|
}; |
|
|
|
|
|
// |
|
// 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 gelsd_impl classes. In the |
|
// documentation, most overloads are collapsed to avoid a large number of |
|
// prototypes which are very similar. |
|
// |
|
|
|
// |
|
// Overloaded function for gelsd. Its overload differs for |
|
// * User-defined workspace |
|
// |
|
template< typename MatrixA, typename MatrixB, typename VectorS, |
|
typename Workspace > |
|
inline typename boost::enable_if< detail::is_workspace< Workspace >, |
|
std::ptrdiff_t >::type |
|
gelsd( MatrixA& a, MatrixB& b, VectorS& s, |
|
const typename remove_imaginary< typename bindings::value_type< |
|
MatrixA >::type >::type rcond, fortran_int_t& rank, |
|
Workspace work ) { |
|
return gelsd_impl< typename bindings::value_type< |
|
MatrixA >::type >::invoke( a, b, s, rcond, rank, work ); |
|
} |
|
|
|
// |
|
// Overloaded function for gelsd. Its overload differs for |
|
// * Default workspace-type (optimal) |
|
// |
|
template< typename MatrixA, typename MatrixB, typename VectorS > |
|
inline typename boost::disable_if< detail::is_workspace< VectorS >, |
|
std::ptrdiff_t >::type |
|
gelsd( MatrixA& a, MatrixB& b, VectorS& s, |
|
const typename remove_imaginary< typename bindings::value_type< |
|
MatrixA >::type >::type rcond, fortran_int_t& rank ) { |
|
return gelsd_impl< typename bindings::value_type< |
|
MatrixA >::type >::invoke( a, b, s, rcond, rank, |
|
optimal_workspace() ); |
|
} |
|
|
|
} // namespace lapack |
|
} // namespace bindings |
|
} // namespace numeric |
|
} // namespace boost |
|
|
|
#endif
|
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|