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498 lines
22 KiB
498 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_COMPUTATIONAL_TGSNA_HPP |
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#define BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_TGSNA_HPP |
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#include <boost/assert.hpp> |
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#include <boost/numeric/bindings/begin.hpp> |
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#include <boost/numeric/bindings/detail/array.hpp> |
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#include <boost/numeric/bindings/is_column_major.hpp> |
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#include <boost/numeric/bindings/is_complex.hpp> |
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#include <boost/numeric/bindings/is_mutable.hpp> |
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#include <boost/numeric/bindings/is_real.hpp> |
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#include <boost/numeric/bindings/lapack/workspace.hpp> |
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#include <boost/numeric/bindings/remove_imaginary.hpp> |
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#include <boost/numeric/bindings/size.hpp> |
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#include <boost/numeric/bindings/stride.hpp> |
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#include <boost/numeric/bindings/traits/detail/utils.hpp> |
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#include <boost/numeric/bindings/value_type.hpp> |
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#include <boost/static_assert.hpp> |
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#include <boost/type_traits/is_same.hpp> |
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#include <boost/type_traits/remove_const.hpp> |
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#include <boost/utility/enable_if.hpp> |
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// |
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// The LAPACK-backend for tgsna 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 tgsna( const char job, const char howmny, |
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const fortran_bool_t* select, const fortran_int_t n, const float* a, |
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const fortran_int_t lda, const float* b, const fortran_int_t ldb, |
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const float* vl, const fortran_int_t ldvl, const float* vr, |
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const fortran_int_t ldvr, float* s, float* dif, |
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const fortran_int_t mm, fortran_int_t& m, float* work, |
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const fortran_int_t lwork, fortran_int_t* iwork ) { |
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fortran_int_t info(0); |
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LAPACK_STGSNA( &job, &howmny, select, &n, a, &lda, b, &ldb, vl, &ldvl, vr, |
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&ldvr, s, dif, &mm, &m, work, &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 tgsna( const char job, const char howmny, |
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const fortran_bool_t* select, const fortran_int_t n, const double* a, |
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const fortran_int_t lda, const double* b, const fortran_int_t ldb, |
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const double* vl, const fortran_int_t ldvl, const double* vr, |
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const fortran_int_t ldvr, double* s, double* dif, |
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const fortran_int_t mm, fortran_int_t& m, double* work, |
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const fortran_int_t lwork, fortran_int_t* iwork ) { |
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fortran_int_t info(0); |
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LAPACK_DTGSNA( &job, &howmny, select, &n, a, &lda, b, &ldb, vl, &ldvl, vr, |
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&ldvr, s, dif, &mm, &m, work, &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 tgsna( const char job, const char howmny, |
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const fortran_bool_t* select, const fortran_int_t n, |
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const std::complex<float>* a, const fortran_int_t lda, |
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const std::complex<float>* b, const fortran_int_t ldb, |
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const std::complex<float>* vl, const fortran_int_t ldvl, |
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const std::complex<float>* vr, const fortran_int_t ldvr, float* s, |
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float* dif, const fortran_int_t mm, fortran_int_t& m, |
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std::complex<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_CTGSNA( &job, &howmny, select, &n, a, &lda, b, &ldb, vl, &ldvl, vr, |
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&ldvr, s, dif, &mm, &m, work, &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<double> value-type. |
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// |
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inline std::ptrdiff_t tgsna( const char job, const char howmny, |
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const fortran_bool_t* select, const fortran_int_t n, |
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const std::complex<double>* a, const fortran_int_t lda, |
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const std::complex<double>* b, const fortran_int_t ldb, |
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const std::complex<double>* vl, const fortran_int_t ldvl, |
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const std::complex<double>* vr, const fortran_int_t ldvr, double* s, |
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double* dif, const fortran_int_t mm, fortran_int_t& m, |
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std::complex<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_ZTGSNA( &job, &howmny, select, &n, a, &lda, b, &ldb, vl, &ldvl, vr, |
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&ldvr, s, dif, &mm, &m, work, &lwork, 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 tgsna. |
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// |
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template< typename Value, typename Enable = void > |
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struct tgsna_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 tgsna_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 VectorSELECT, typename MatrixA, typename MatrixB, |
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typename MatrixVL, typename MatrixVR, typename VectorS, |
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typename VectorDIF, typename WORK, typename IWORK > |
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static std::ptrdiff_t invoke( const char job, const char howmny, |
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const VectorSELECT& select, const fortran_int_t n, |
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const MatrixA& a, const MatrixB& b, const MatrixVL& vl, |
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const MatrixVR& vr, VectorS& s, VectorDIF& dif, |
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const fortran_int_t mm, fortran_int_t& m, |
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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( (bindings::is_column_major< MatrixVL >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixVR >::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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MatrixVL >::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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MatrixVR >::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( (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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VectorDIF >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorS >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorDIF >::value) ); |
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BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >= |
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min_size_iwork( job, n )); |
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BOOST_ASSERT( bindings::size(work.select(real_type())) >= |
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min_size_work( job, n )); |
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BOOST_ASSERT( bindings::size_minor(a) == 1 || |
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bindings::stride_minor(a) == 1 ); |
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BOOST_ASSERT( bindings::size_minor(b) == 1 || |
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bindings::stride_minor(b) == 1 ); |
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BOOST_ASSERT( bindings::size_minor(vl) == 1 || |
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bindings::stride_minor(vl) == 1 ); |
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BOOST_ASSERT( bindings::size_minor(vr) == 1 || |
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bindings::stride_minor(vr) == 1 ); |
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BOOST_ASSERT( bindings::stride_major(a) >= std::max< std::ptrdiff_t >(1, |
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n) ); |
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BOOST_ASSERT( bindings::stride_major(b) >= std::max< std::ptrdiff_t >(1, |
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n) ); |
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BOOST_ASSERT( howmny == 'A' || howmny == 'S' ); |
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BOOST_ASSERT( job == 'E' || job == 'V' || job == 'B' ); |
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BOOST_ASSERT( n >= 0 ); |
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return detail::tgsna( job, howmny, bindings::begin_value(select), n, |
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bindings::begin_value(a), bindings::stride_major(a), |
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bindings::begin_value(b), bindings::stride_major(b), |
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bindings::begin_value(vl), bindings::stride_major(vl), |
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bindings::begin_value(vr), bindings::stride_major(vr), |
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bindings::begin_value(s), bindings::begin_value(dif), mm, m, |
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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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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 VectorSELECT, typename MatrixA, typename MatrixB, |
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typename MatrixVL, typename MatrixVR, typename VectorS, |
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typename VectorDIF > |
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static std::ptrdiff_t invoke( const char job, const char howmny, |
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const VectorSELECT& select, const fortran_int_t n, |
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const MatrixA& a, const MatrixB& b, const MatrixVL& vl, |
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const MatrixVR& vr, VectorS& s, VectorDIF& dif, |
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const fortran_int_t mm, fortran_int_t& m, |
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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( job, |
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n ) ); |
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bindings::detail::array< fortran_int_t > tmp_iwork( |
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min_size_iwork( job, n ) ); |
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return invoke( job, howmny, select, n, a, b, vl, vr, s, dif, mm, m, |
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workspace( tmp_work, 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 VectorSELECT, typename MatrixA, typename MatrixB, |
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typename MatrixVL, typename MatrixVR, typename VectorS, |
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typename VectorDIF > |
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static std::ptrdiff_t invoke( const char job, const char howmny, |
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const VectorSELECT& select, const fortran_int_t n, |
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const MatrixA& a, const MatrixB& b, const MatrixVL& vl, |
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const MatrixVR& vr, VectorS& s, VectorDIF& dif, |
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const fortran_int_t mm, fortran_int_t& m, |
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optimal_workspace ) { |
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namespace bindings = ::boost::numeric::bindings; |
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real_type opt_size_work; |
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bindings::detail::array< fortran_int_t > tmp_iwork( |
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min_size_iwork( job, n ) ); |
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detail::tgsna( job, howmny, bindings::begin_value(select), n, |
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bindings::begin_value(a), bindings::stride_major(a), |
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bindings::begin_value(b), bindings::stride_major(b), |
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bindings::begin_value(vl), bindings::stride_major(vl), |
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bindings::begin_value(vr), bindings::stride_major(vr), |
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bindings::begin_value(s), bindings::begin_value(dif), mm, m, |
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&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( job, howmny, select, n, a, b, vl, vr, s, dif, mm, m, |
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workspace( tmp_work, 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 char job, |
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const std::ptrdiff_t n ) { |
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if ( job == 'V' || job == 'B' ) |
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return std::max< std::ptrdiff_t >(1, 2*n*(n+2)+16); |
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else |
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return std::max< std::ptrdiff_t >(1, 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 char job, |
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const std::ptrdiff_t n ) { |
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if ( job == 'E') |
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return 1; |
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else |
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return n+6; |
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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 tgsna_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 VectorSELECT, typename MatrixA, typename MatrixB, |
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typename MatrixVL, typename MatrixVR, typename VectorS, |
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typename VectorDIF, typename WORK, typename IWORK > |
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static std::ptrdiff_t invoke( const char job, const char howmny, |
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const VectorSELECT& select, const fortran_int_t n, |
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const MatrixA& a, const MatrixB& b, const MatrixVL& vl, |
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const MatrixVR& vr, VectorS& s, VectorDIF& dif, |
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const fortran_int_t mm, fortran_int_t& m, |
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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( (bindings::is_column_major< MatrixVL >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixVR >::value) ); |
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
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typename bindings::value_type< VectorS >::type >::type, |
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typename remove_const< typename bindings::value_type< |
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VectorDIF >::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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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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MatrixVL >::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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MatrixVR >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorS >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorDIF >::value) ); |
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BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >= |
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min_size_iwork( job, n )); |
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BOOST_ASSERT( bindings::size(work.select(value_type())) >= |
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min_size_work( job, n )); |
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BOOST_ASSERT( bindings::size_minor(a) == 1 || |
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bindings::stride_minor(a) == 1 ); |
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BOOST_ASSERT( bindings::size_minor(b) == 1 || |
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bindings::stride_minor(b) == 1 ); |
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BOOST_ASSERT( bindings::size_minor(vl) == 1 || |
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bindings::stride_minor(vl) == 1 ); |
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BOOST_ASSERT( bindings::size_minor(vr) == 1 || |
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bindings::stride_minor(vr) == 1 ); |
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BOOST_ASSERT( bindings::stride_major(a) >= std::max< std::ptrdiff_t >(1, |
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n) ); |
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BOOST_ASSERT( bindings::stride_major(b) >= std::max< std::ptrdiff_t >(1, |
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n) ); |
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BOOST_ASSERT( howmny == 'A' || howmny == 'S' ); |
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BOOST_ASSERT( job == 'E' || job == 'V' || job == 'B' ); |
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BOOST_ASSERT( n >= 0 ); |
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return detail::tgsna( job, howmny, bindings::begin_value(select), n, |
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bindings::begin_value(a), bindings::stride_major(a), |
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bindings::begin_value(b), bindings::stride_major(b), |
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bindings::begin_value(vl), bindings::stride_major(vl), |
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bindings::begin_value(vr), bindings::stride_major(vr), |
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bindings::begin_value(s), bindings::begin_value(dif), mm, m, |
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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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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 |
|
// 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 VectorSELECT, typename MatrixA, typename MatrixB, |
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typename MatrixVL, typename MatrixVR, typename VectorS, |
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typename VectorDIF > |
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static std::ptrdiff_t invoke( const char job, const char howmny, |
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const VectorSELECT& select, const fortran_int_t n, |
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const MatrixA& a, const MatrixB& b, const MatrixVL& vl, |
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const MatrixVR& vr, VectorS& s, VectorDIF& dif, |
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const fortran_int_t mm, fortran_int_t& m, |
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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( job, |
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n ) ); |
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bindings::detail::array< fortran_int_t > tmp_iwork( |
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min_size_iwork( job, n ) ); |
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return invoke( job, howmny, select, n, a, b, vl, vr, s, dif, mm, m, |
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workspace( tmp_work, 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 VectorSELECT, typename MatrixA, typename MatrixB, |
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typename MatrixVL, typename MatrixVR, typename VectorS, |
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typename VectorDIF > |
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static std::ptrdiff_t invoke( const char job, const char howmny, |
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const VectorSELECT& select, const fortran_int_t n, |
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const MatrixA& a, const MatrixB& b, const MatrixVL& vl, |
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const MatrixVR& vr, VectorS& s, VectorDIF& dif, |
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const fortran_int_t mm, fortran_int_t& m, |
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optimal_workspace ) { |
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namespace bindings = ::boost::numeric::bindings; |
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return invoke( job, howmny, select, n, a, b, vl, vr, s, dif, mm, m, |
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minimal_workspace() ); |
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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 char job, |
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const std::ptrdiff_t n ) { |
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if ( job == 'V' || job == 'B' ) |
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return std::max< std::ptrdiff_t >(1, 2*n*n); |
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else |
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return std::max< std::ptrdiff_t >(1, n); |
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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 iwork. |
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// |
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static std::ptrdiff_t min_size_iwork( const char job, |
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const std::ptrdiff_t n ) { |
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if ( job == 'E') |
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return 1; |
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else |
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return n+2; |
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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 tgsna_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 tgsna. Its overload differs for |
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// * User-defined workspace |
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// |
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template< typename VectorSELECT, typename MatrixA, typename MatrixB, |
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typename MatrixVL, typename MatrixVR, typename VectorS, |
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typename VectorDIF, 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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tgsna( const char job, const char howmny, const VectorSELECT& select, |
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const fortran_int_t n, const MatrixA& a, const MatrixB& b, |
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const MatrixVL& vl, const MatrixVR& vr, VectorS& s, VectorDIF& dif, |
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const fortran_int_t mm, fortran_int_t& m, Workspace work ) { |
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return tgsna_impl< typename bindings::value_type< |
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MatrixA >::type >::invoke( job, howmny, select, n, a, b, vl, vr, |
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s, dif, mm, m, work ); |
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} |
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// |
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// Overloaded function for tgsna. Its overload differs for |
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// * Default workspace-type (optimal) |
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// |
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template< typename VectorSELECT, typename MatrixA, typename MatrixB, |
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typename MatrixVL, typename MatrixVR, typename VectorS, |
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typename VectorDIF > |
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inline typename boost::disable_if< detail::is_workspace< VectorDIF >, |
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std::ptrdiff_t >::type |
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tgsna( const char job, const char howmny, const VectorSELECT& select, |
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const fortran_int_t n, const MatrixA& a, const MatrixB& b, |
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const MatrixVL& vl, const MatrixVR& vr, VectorS& s, VectorDIF& dif, |
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const fortran_int_t mm, fortran_int_t& m ) { |
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return tgsna_impl< typename bindings::value_type< |
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MatrixA >::type >::invoke( job, howmny, select, n, a, b, vl, vr, |
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s, dif, mm, m, 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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