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332 lines
16 KiB
332 lines
16 KiB
// |
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// Copyright (c) 2002--2010 |
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// Toon Knapen, Karl Meerbergen, Kresimir Fresl, |
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// Thomas Klimpel and Rutger ter Borg |
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// |
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// Distributed under the Boost Software License, Version 1.0. |
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// (See accompanying file LICENSE_1_0.txt or copy at |
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// http://www.boost.org/LICENSE_1_0.txt) |
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// |
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// THIS FILE IS AUTOMATICALLY GENERATED |
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// PLEASE DO NOT EDIT! |
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// |
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#ifndef BOOST_NUMERIC_BINDINGS_LAPACK_AUXILIARY_LARRE_HPP |
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#define BOOST_NUMERIC_BINDINGS_LAPACK_AUXILIARY_LARRE_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_mutable.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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// |
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// The LAPACK-backend for larre 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 larre( const char range, const fortran_int_t n, |
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float& vl, float& vu, const fortran_int_t il, const fortran_int_t iu, |
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float* d, float* e, float* e2, const float rtol1, const float rtol2, |
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const float spltol, fortran_int_t& nsplit, fortran_int_t* isplit, |
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fortran_int_t& m, float* w, float* werr, float* wgap, |
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fortran_int_t* iblock, fortran_int_t* indexw, float* gers, |
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float& pivmin, float* work, fortran_int_t* iwork ) { |
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fortran_int_t info(0); |
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LAPACK_SLARRE( &range, &n, &vl, &vu, &il, &iu, d, e, e2, &rtol1, &rtol2, |
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&spltol, &nsplit, isplit, &m, w, werr, wgap, iblock, indexw, gers, |
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&pivmin, work, 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 larre( const char range, const fortran_int_t n, |
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double& vl, double& vu, const fortran_int_t il, |
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const fortran_int_t iu, double* d, double* e, double* e2, |
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const double rtol1, const double rtol2, const double spltol, |
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fortran_int_t& nsplit, fortran_int_t* isplit, fortran_int_t& m, |
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double* w, double* werr, double* wgap, fortran_int_t* iblock, |
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fortran_int_t* indexw, double* gers, double& pivmin, double* work, |
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fortran_int_t* iwork ) { |
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fortran_int_t info(0); |
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LAPACK_DLARRE( &range, &n, &vl, &vu, &il, &iu, d, e, e2, &rtol1, &rtol2, |
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&spltol, &nsplit, isplit, &m, w, werr, wgap, iblock, indexw, gers, |
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&pivmin, work, 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 larre. |
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// |
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template< typename Value > |
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struct larre_impl { |
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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 VectorD, typename VectorE, typename VectorE2, |
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typename VectorISPLIT, typename VectorW, typename VectorWERR, |
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typename VectorWGAP, typename VectorIBLOCK, typename VectorINDEXW, |
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typename VectorGERS, typename WORK, typename IWORK > |
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static std::ptrdiff_t invoke( const char range, const fortran_int_t n, |
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real_type& vl, real_type& vu, const fortran_int_t il, |
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const fortran_int_t iu, VectorD& d, VectorE& e, VectorE2& e2, |
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const real_type rtol1, const real_type rtol2, |
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const real_type spltol, fortran_int_t& nsplit, |
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VectorISPLIT& isplit, fortran_int_t& m, VectorW& w, |
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VectorWERR& werr, VectorWGAP& wgap, VectorIBLOCK& iblock, |
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VectorINDEXW& indexw, VectorGERS& gers, real_type& pivmin, |
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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( (boost::is_same< typename remove_const< |
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typename bindings::value_type< VectorD >::type >::type, |
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typename remove_const< typename bindings::value_type< |
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VectorE >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
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typename bindings::value_type< VectorD >::type >::type, |
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typename remove_const< typename bindings::value_type< |
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VectorE2 >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
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typename bindings::value_type< VectorD >::type >::type, |
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typename remove_const< typename bindings::value_type< |
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VectorW >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
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typename bindings::value_type< VectorD >::type >::type, |
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typename remove_const< typename bindings::value_type< |
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VectorWERR >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
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typename bindings::value_type< VectorD >::type >::type, |
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typename remove_const< typename bindings::value_type< |
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VectorWGAP >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
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typename bindings::value_type< VectorD >::type >::type, |
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typename remove_const< typename bindings::value_type< |
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VectorGERS >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
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typename bindings::value_type< VectorISPLIT >::type >::type, |
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typename remove_const< typename bindings::value_type< |
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VectorIBLOCK >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< |
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typename bindings::value_type< VectorISPLIT >::type >::type, |
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typename remove_const< typename bindings::value_type< |
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VectorINDEXW >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorD >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorE >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorE2 >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorISPLIT >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorW >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorWERR >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorWGAP >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorIBLOCK >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorINDEXW >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorGERS >::value) ); |
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BOOST_ASSERT( bindings::size(d) >= n ); |
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BOOST_ASSERT( bindings::size(e) >= n ); |
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BOOST_ASSERT( bindings::size(e2) >= n ); |
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BOOST_ASSERT( bindings::size(gers) >= 2*n ); |
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BOOST_ASSERT( bindings::size(indexw) >= n ); |
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BOOST_ASSERT( bindings::size(isplit) >= n ); |
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BOOST_ASSERT( bindings::size(w) >= n ); |
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BOOST_ASSERT( bindings::size(werr) >= n ); |
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BOOST_ASSERT( bindings::size(wgap) >= n ); |
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BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >= |
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min_size_iwork( n )); |
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BOOST_ASSERT( bindings::size(work.select(real_type())) >= |
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min_size_work( n )); |
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BOOST_ASSERT( range == 'A' || range == 'V' || range == 'I' ); |
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return detail::larre( range, n, vl, vu, il, iu, |
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bindings::begin_value(d), bindings::begin_value(e), |
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bindings::begin_value(e2), rtol1, rtol2, spltol, nsplit, |
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bindings::begin_value(isplit), m, bindings::begin_value(w), |
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bindings::begin_value(werr), bindings::begin_value(wgap), |
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bindings::begin_value(iblock), bindings::begin_value(indexw), |
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bindings::begin_value(gers), pivmin, |
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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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// 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 VectorD, typename VectorE, typename VectorE2, |
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typename VectorISPLIT, typename VectorW, typename VectorWERR, |
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typename VectorWGAP, typename VectorIBLOCK, typename VectorINDEXW, |
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typename VectorGERS > |
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static std::ptrdiff_t invoke( const char range, const fortran_int_t n, |
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real_type& vl, real_type& vu, const fortran_int_t il, |
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const fortran_int_t iu, VectorD& d, VectorE& e, VectorE2& e2, |
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const real_type rtol1, const real_type rtol2, |
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const real_type spltol, fortran_int_t& nsplit, |
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VectorISPLIT& isplit, fortran_int_t& m, VectorW& w, |
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VectorWERR& werr, VectorWGAP& wgap, VectorIBLOCK& iblock, |
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VectorINDEXW& indexw, VectorGERS& gers, real_type& pivmin, |
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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( n ) ); |
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bindings::detail::array< fortran_int_t > tmp_iwork( |
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min_size_iwork( n ) ); |
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return invoke( range, n, vl, vu, il, iu, d, e, e2, rtol1, rtol2, |
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spltol, nsplit, isplit, m, w, werr, wgap, iblock, indexw, |
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gers, pivmin, 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 VectorD, typename VectorE, typename VectorE2, |
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typename VectorISPLIT, typename VectorW, typename VectorWERR, |
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typename VectorWGAP, typename VectorIBLOCK, typename VectorINDEXW, |
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typename VectorGERS > |
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static std::ptrdiff_t invoke( const char range, const fortran_int_t n, |
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real_type& vl, real_type& vu, const fortran_int_t il, |
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const fortran_int_t iu, VectorD& d, VectorE& e, VectorE2& e2, |
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const real_type rtol1, const real_type rtol2, |
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const real_type spltol, fortran_int_t& nsplit, |
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VectorISPLIT& isplit, fortran_int_t& m, VectorW& w, |
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VectorWERR& werr, VectorWGAP& wgap, VectorIBLOCK& iblock, |
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VectorINDEXW& indexw, VectorGERS& gers, real_type& pivmin, |
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optimal_workspace ) { |
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namespace bindings = ::boost::numeric::bindings; |
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return invoke( range, n, vl, vu, il, iu, d, e, e2, rtol1, rtol2, |
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spltol, nsplit, isplit, m, w, werr, wgap, iblock, indexw, |
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gers, pivmin, 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 6*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 5*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 larre_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 larre. Its overload differs for |
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// * User-defined workspace |
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// |
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template< typename VectorD, typename VectorE, typename VectorE2, |
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typename VectorISPLIT, typename VectorW, typename VectorWERR, |
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typename VectorWGAP, typename VectorIBLOCK, typename VectorINDEXW, |
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typename VectorGERS, 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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larre( const char range, const fortran_int_t n, |
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typename remove_imaginary< typename bindings::value_type< |
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VectorD >::type >::type& vl, typename remove_imaginary< |
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typename bindings::value_type< VectorD >::type >::type& vu, |
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const fortran_int_t il, const fortran_int_t iu, VectorD& d, |
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VectorE& e, VectorE2& e2, const typename remove_imaginary< |
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typename bindings::value_type< VectorD >::type >::type rtol1, |
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const typename remove_imaginary< typename bindings::value_type< |
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VectorD >::type >::type rtol2, const typename remove_imaginary< |
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typename bindings::value_type< VectorD >::type >::type spltol, |
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fortran_int_t& nsplit, VectorISPLIT& isplit, fortran_int_t& m, |
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VectorW& w, VectorWERR& werr, VectorWGAP& wgap, VectorIBLOCK& iblock, |
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VectorINDEXW& indexw, VectorGERS& gers, typename remove_imaginary< |
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typename bindings::value_type< VectorD >::type >::type& pivmin, |
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Workspace work ) { |
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return larre_impl< typename bindings::value_type< |
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VectorD >::type >::invoke( range, n, vl, vu, il, iu, d, e, e2, |
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rtol1, rtol2, spltol, nsplit, isplit, m, w, werr, wgap, iblock, |
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indexw, gers, pivmin, work ); |
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} |
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// |
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// Overloaded function for larre. Its overload differs for |
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// * Default workspace-type (optimal) |
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// |
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template< typename VectorD, typename VectorE, typename VectorE2, |
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typename VectorISPLIT, typename VectorW, typename VectorWERR, |
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typename VectorWGAP, typename VectorIBLOCK, typename VectorINDEXW, |
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typename VectorGERS > |
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inline typename boost::disable_if< detail::is_workspace< VectorGERS >, |
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std::ptrdiff_t >::type |
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larre( const char range, const fortran_int_t n, |
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typename remove_imaginary< typename bindings::value_type< |
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VectorD >::type >::type& vl, typename remove_imaginary< |
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typename bindings::value_type< VectorD >::type >::type& vu, |
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const fortran_int_t il, const fortran_int_t iu, VectorD& d, |
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VectorE& e, VectorE2& e2, const typename remove_imaginary< |
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typename bindings::value_type< VectorD >::type >::type rtol1, |
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const typename remove_imaginary< typename bindings::value_type< |
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VectorD >::type >::type rtol2, const typename remove_imaginary< |
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typename bindings::value_type< VectorD >::type >::type spltol, |
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fortran_int_t& nsplit, VectorISPLIT& isplit, fortran_int_t& m, |
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VectorW& w, VectorWERR& werr, VectorWGAP& wgap, VectorIBLOCK& iblock, |
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VectorINDEXW& indexw, VectorGERS& gers, typename remove_imaginary< |
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typename bindings::value_type< VectorD >::type >::type& pivmin ) { |
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return larre_impl< typename bindings::value_type< |
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VectorD >::type >::invoke( range, n, vl, vu, il, iu, d, e, e2, |
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rtol1, rtol2, spltol, nsplit, isplit, m, w, werr, wgap, iblock, |
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indexw, gers, pivmin, 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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