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364 lines
14 KiB
364 lines
14 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_GBCON_HPP |
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#define BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_GBCON_HPP |
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#include <boost/assert.hpp> |
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#include <boost/numeric/bindings/bandwidth.hpp> |
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#include <boost/numeric/bindings/begin.hpp> |
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#include <boost/numeric/bindings/detail/array.hpp> |
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#include <boost/numeric/bindings/is_column_major.hpp> |
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#include <boost/numeric/bindings/is_complex.hpp> |
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#include <boost/numeric/bindings/is_mutable.hpp> |
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#include <boost/numeric/bindings/is_real.hpp> |
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#include <boost/numeric/bindings/lapack/workspace.hpp> |
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#include <boost/numeric/bindings/remove_imaginary.hpp> |
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#include <boost/numeric/bindings/size.hpp> |
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#include <boost/numeric/bindings/stride.hpp> |
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#include <boost/numeric/bindings/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 gbcon 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 gbcon( const char norm, const fortran_int_t n, |
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const fortran_int_t kl, const fortran_int_t ku, const float* ab, |
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const fortran_int_t ldab, const fortran_int_t* ipiv, |
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const float anorm, float& rcond, float* work, fortran_int_t* iwork ) { |
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fortran_int_t info(0); |
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LAPACK_SGBCON( &norm, &n, &kl, &ku, ab, &ldab, ipiv, &anorm, &rcond, work, |
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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 gbcon( const char norm, const fortran_int_t n, |
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const fortran_int_t kl, const fortran_int_t ku, const double* ab, |
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const fortran_int_t ldab, const fortran_int_t* ipiv, |
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const double anorm, double& rcond, double* work, |
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fortran_int_t* iwork ) { |
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fortran_int_t info(0); |
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LAPACK_DGBCON( &norm, &n, &kl, &ku, ab, &ldab, ipiv, &anorm, &rcond, work, |
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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 gbcon( const char norm, const fortran_int_t n, |
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const fortran_int_t kl, const fortran_int_t ku, |
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const std::complex<float>* ab, const fortran_int_t ldab, |
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const fortran_int_t* ipiv, const float anorm, float& rcond, |
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std::complex<float>* work, float* rwork ) { |
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fortran_int_t info(0); |
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LAPACK_CGBCON( &norm, &n, &kl, &ku, ab, &ldab, ipiv, &anorm, &rcond, work, |
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rwork, &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 gbcon( const char norm, const fortran_int_t n, |
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const fortran_int_t kl, const fortran_int_t ku, |
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const std::complex<double>* ab, const fortran_int_t ldab, |
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const fortran_int_t* ipiv, const double anorm, double& rcond, |
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std::complex<double>* work, double* rwork ) { |
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fortran_int_t info(0); |
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LAPACK_ZGBCON( &norm, &n, &kl, &ku, ab, &ldab, ipiv, &anorm, &rcond, work, |
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rwork, &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 gbcon. |
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// |
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template< typename Value, typename Enable = void > |
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struct gbcon_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 gbcon_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 MatrixAB, typename VectorIPIV, typename WORK, |
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typename IWORK > |
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static std::ptrdiff_t invoke( const char norm, const MatrixAB& ab, |
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const VectorIPIV& ipiv, const real_type anorm, real_type& rcond, |
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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< MatrixAB >::value) ); |
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BOOST_ASSERT( bindings::bandwidth_lower(ab) >= 0 ); |
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BOOST_ASSERT( bindings::size(ipiv) >= bindings::size_column(ab) ); |
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BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >= |
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min_size_iwork( bindings::size_column(ab) )); |
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BOOST_ASSERT( bindings::size(work.select(real_type())) >= |
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min_size_work( bindings::size_column(ab) )); |
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BOOST_ASSERT( bindings::size_column(ab) >= 0 ); |
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BOOST_ASSERT( bindings::size_minor(ab) == 1 || |
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bindings::stride_minor(ab) == 1 ); |
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BOOST_ASSERT( bindings::stride_major(ab) >= |
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2*bindings::bandwidth_lower(ab)+(bindings::bandwidth_upper(ab)- |
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bindings::bandwidth_lower(ab))+1 ); |
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BOOST_ASSERT( (bindings::bandwidth_upper(ab)- |
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bindings::bandwidth_lower(ab)) >= 0 ); |
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BOOST_ASSERT( norm == '1' || norm == 'O' || norm == 'I' ); |
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return detail::gbcon( norm, bindings::size_column(ab), |
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bindings::bandwidth_lower(ab), (bindings::bandwidth_upper(ab)- |
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bindings::bandwidth_lower(ab)), bindings::begin_value(ab), |
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bindings::stride_major(ab), bindings::begin_value(ipiv), |
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anorm, rcond, 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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// 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 MatrixAB, typename VectorIPIV > |
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static std::ptrdiff_t invoke( const char norm, const MatrixAB& ab, |
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const VectorIPIV& ipiv, const real_type anorm, real_type& rcond, |
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minimal_workspace ) { |
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namespace bindings = ::boost::numeric::bindings; |
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bindings::detail::array< real_type > tmp_work( min_size_work( |
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bindings::size_column(ab) ) ); |
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bindings::detail::array< fortran_int_t > tmp_iwork( |
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min_size_iwork( bindings::size_column(ab) ) ); |
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return invoke( norm, ab, ipiv, anorm, rcond, 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 MatrixAB, typename VectorIPIV > |
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static std::ptrdiff_t invoke( const char norm, const MatrixAB& ab, |
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const VectorIPIV& ipiv, const real_type anorm, real_type& rcond, |
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optimal_workspace ) { |
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namespace bindings = ::boost::numeric::bindings; |
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return invoke( norm, ab, ipiv, anorm, rcond, minimal_workspace() ); |
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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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return 3*n; |
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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 n ) { |
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return n; |
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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 gbcon_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 MatrixAB, typename VectorIPIV, typename WORK, |
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typename RWORK > |
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static std::ptrdiff_t invoke( const char norm, const MatrixAB& ab, |
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const VectorIPIV& ipiv, const real_type anorm, real_type& rcond, |
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detail::workspace2< WORK, RWORK > work ) { |
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namespace bindings = ::boost::numeric::bindings; |
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixAB >::value) ); |
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BOOST_ASSERT( bindings::bandwidth_lower(ab) >= 0 ); |
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BOOST_ASSERT( bindings::size(ipiv) >= bindings::size_column(ab) ); |
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BOOST_ASSERT( bindings::size(work.select(real_type())) >= |
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min_size_rwork( bindings::size_column(ab) )); |
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BOOST_ASSERT( bindings::size(work.select(value_type())) >= |
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min_size_work( bindings::size_column(ab) )); |
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BOOST_ASSERT( bindings::size_column(ab) >= 0 ); |
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BOOST_ASSERT( bindings::size_minor(ab) == 1 || |
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bindings::stride_minor(ab) == 1 ); |
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BOOST_ASSERT( bindings::stride_major(ab) >= |
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2*bindings::bandwidth_lower(ab)+(bindings::bandwidth_upper(ab)- |
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bindings::bandwidth_lower(ab))+1 ); |
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BOOST_ASSERT( (bindings::bandwidth_upper(ab)- |
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bindings::bandwidth_lower(ab)) >= 0 ); |
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BOOST_ASSERT( norm == '1' || norm == 'O' || norm == 'I' ); |
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return detail::gbcon( norm, bindings::size_column(ab), |
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bindings::bandwidth_lower(ab), (bindings::bandwidth_upper(ab)- |
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bindings::bandwidth_lower(ab)), bindings::begin_value(ab), |
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bindings::stride_major(ab), bindings::begin_value(ipiv), |
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anorm, rcond, |
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bindings::begin_value(work.select(value_type())), |
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bindings::begin_value(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 MatrixAB, typename VectorIPIV > |
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static std::ptrdiff_t invoke( const char norm, const MatrixAB& ab, |
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const VectorIPIV& ipiv, const real_type anorm, real_type& rcond, |
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minimal_workspace ) { |
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namespace bindings = ::boost::numeric::bindings; |
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bindings::detail::array< value_type > tmp_work( min_size_work( |
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bindings::size_column(ab) ) ); |
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bindings::detail::array< real_type > tmp_rwork( min_size_rwork( |
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bindings::size_column(ab) ) ); |
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return invoke( norm, ab, ipiv, anorm, rcond, workspace( tmp_work, |
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tmp_rwork ) ); |
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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 MatrixAB, typename VectorIPIV > |
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static std::ptrdiff_t invoke( const char norm, const MatrixAB& ab, |
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const VectorIPIV& ipiv, const real_type anorm, real_type& rcond, |
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optimal_workspace ) { |
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namespace bindings = ::boost::numeric::bindings; |
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return invoke( norm, ab, ipiv, anorm, rcond, minimal_workspace() ); |
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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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return 2*n; |
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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 n ) { |
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return n; |
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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 gbcon_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 gbcon. Its overload differs for |
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// * User-defined workspace |
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// |
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template< typename MatrixAB, typename VectorIPIV, 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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gbcon( const char norm, const MatrixAB& ab, const VectorIPIV& ipiv, |
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const typename remove_imaginary< typename bindings::value_type< |
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MatrixAB >::type >::type anorm, typename remove_imaginary< |
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typename bindings::value_type< MatrixAB >::type >::type& rcond, |
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Workspace work ) { |
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return gbcon_impl< typename bindings::value_type< |
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MatrixAB >::type >::invoke( norm, ab, ipiv, anorm, rcond, work ); |
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} |
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// |
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// Overloaded function for gbcon. Its overload differs for |
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// * Default workspace-type (optimal) |
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// |
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template< typename MatrixAB, typename VectorIPIV > |
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inline typename boost::disable_if< detail::is_workspace< VectorIPIV >, |
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std::ptrdiff_t >::type |
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gbcon( const char norm, const MatrixAB& ab, const VectorIPIV& ipiv, |
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const typename remove_imaginary< typename bindings::value_type< |
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MatrixAB >::type >::type anorm, typename remove_imaginary< |
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typename bindings::value_type< MatrixAB >::type >::type& rcond ) { |
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return gbcon_impl< typename bindings::value_type< |
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MatrixAB >::type >::invoke( norm, ab, ipiv, anorm, rcond, |
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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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