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424 lines
18 KiB
424 lines
18 KiB
6 years ago
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//
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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_STEIN_HPP
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#define BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_STEIN_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/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 stein 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 stein( const fortran_int_t n, const float* d,
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const float* e, const fortran_int_t m, const float* w,
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const fortran_int_t* iblock, const fortran_int_t* isplit, float* z,
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const fortran_int_t ldz, float* work, fortran_int_t* iwork,
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fortran_int_t* ifail ) {
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fortran_int_t info(0);
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LAPACK_SSTEIN( &n, d, e, &m, w, iblock, isplit, z, &ldz, work, iwork,
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ifail, &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 stein( const fortran_int_t n, const double* d,
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const double* e, const fortran_int_t m, const double* w,
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const fortran_int_t* iblock, const fortran_int_t* isplit, double* z,
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const fortran_int_t ldz, double* work, fortran_int_t* iwork,
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fortran_int_t* ifail ) {
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fortran_int_t info(0);
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LAPACK_DSTEIN( &n, d, e, &m, w, iblock, isplit, z, &ldz, work, iwork,
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ifail, &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 stein( const fortran_int_t n, const float* d,
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const float* e, const fortran_int_t m, const float* w,
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const fortran_int_t* iblock, const fortran_int_t* isplit,
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std::complex<float>* z, const fortran_int_t ldz, float* work,
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fortran_int_t* iwork, fortran_int_t* ifail ) {
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fortran_int_t info(0);
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LAPACK_CSTEIN( &n, d, e, &m, w, iblock, isplit, z, &ldz, work, iwork,
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ifail, &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 stein( const fortran_int_t n, const double* d,
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const double* e, const fortran_int_t m, const double* w,
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const fortran_int_t* iblock, const fortran_int_t* isplit,
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std::complex<double>* z, const fortran_int_t ldz, double* work,
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fortran_int_t* iwork, fortran_int_t* ifail ) {
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fortran_int_t info(0);
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LAPACK_ZSTEIN( &n, d, e, &m, w, iblock, isplit, z, &ldz, work, iwork,
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ifail, &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 stein.
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//
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template< typename Value, typename Enable = void >
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struct stein_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 stein_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 VectorD, typename VectorE, typename VectorW,
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typename VectorIBLOCK, typename VectorISPLIT, typename MatrixZ,
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typename VectorIFAIL, typename WORK, typename IWORK >
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static std::ptrdiff_t invoke( const fortran_int_t n, const VectorD& d,
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const VectorE& e, const fortran_int_t m, const VectorW& w,
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const VectorIBLOCK& iblock, const VectorISPLIT& isplit,
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MatrixZ& z, VectorIFAIL& ifail, detail::workspace2< WORK,
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IWORK > work ) {
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namespace bindings = ::boost::numeric::bindings;
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixZ >::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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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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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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MatrixZ >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< VectorIBLOCK >::type >::type,
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typename remove_const< typename bindings::value_type<
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VectorISPLIT >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< VectorIBLOCK >::type >::type,
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typename remove_const< typename bindings::value_type<
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VectorIFAIL >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixZ >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorIFAIL >::value) );
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BOOST_ASSERT( bindings::size(d) >= n );
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BOOST_ASSERT( bindings::size(e) >= n-1 );
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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(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( bindings::size_minor(z) == 1 ||
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bindings::stride_minor(z) == 1 );
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BOOST_ASSERT( bindings::stride_major(z) >= std::max< std::ptrdiff_t >(1,
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n) );
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BOOST_ASSERT( n >= 0 );
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return detail::stein( n, bindings::begin_value(d),
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bindings::begin_value(e), m, bindings::begin_value(w),
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bindings::begin_value(iblock), bindings::begin_value(isplit),
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bindings::begin_value(z), bindings::stride_major(z),
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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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bindings::begin_value(ifail) );
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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 VectorW,
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typename VectorIBLOCK, typename VectorISPLIT, typename MatrixZ,
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typename VectorIFAIL >
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static std::ptrdiff_t invoke( const fortran_int_t n, const VectorD& d,
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const VectorE& e, const fortran_int_t m, const VectorW& w,
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const VectorIBLOCK& iblock, const VectorISPLIT& isplit,
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MatrixZ& z, VectorIFAIL& ifail, 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( n, d, e, m, w, iblock, isplit, z, ifail,
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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 VectorD, typename VectorE, typename VectorW,
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typename VectorIBLOCK, typename VectorISPLIT, typename MatrixZ,
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typename VectorIFAIL >
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static std::ptrdiff_t invoke( const fortran_int_t n, const VectorD& d,
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const VectorE& e, const fortran_int_t m, const VectorW& w,
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const VectorIBLOCK& iblock, const VectorISPLIT& isplit,
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MatrixZ& z, VectorIFAIL& ifail, optimal_workspace ) {
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namespace bindings = ::boost::numeric::bindings;
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return invoke( n, d, e, m, w, iblock, isplit, z, ifail,
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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 5*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 stein_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 VectorD, typename VectorE, typename VectorW,
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typename VectorIBLOCK, typename VectorISPLIT, typename MatrixZ,
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typename VectorIFAIL, typename WORK, typename IWORK >
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static std::ptrdiff_t invoke( const fortran_int_t n, const VectorD& d,
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const VectorE& e, const fortran_int_t m, const VectorW& w,
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const VectorIBLOCK& iblock, const VectorISPLIT& isplit,
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MatrixZ& z, VectorIFAIL& ifail, detail::workspace2< WORK,
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IWORK > work ) {
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namespace bindings = ::boost::numeric::bindings;
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BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixZ >::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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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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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< VectorIBLOCK >::type >::type,
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typename remove_const< typename bindings::value_type<
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VectorISPLIT >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
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typename bindings::value_type< VectorIBLOCK >::type >::type,
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typename remove_const< typename bindings::value_type<
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VectorIFAIL >::type >::type >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixZ >::value) );
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BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorIFAIL >::value) );
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BOOST_ASSERT( bindings::size(d) >= n );
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BOOST_ASSERT( bindings::size(e) >= n-1 );
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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(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( bindings::size_minor(z) == 1 ||
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bindings::stride_minor(z) == 1 );
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BOOST_ASSERT( bindings::stride_major(z) >= std::max< std::ptrdiff_t >(1,
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n) );
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BOOST_ASSERT( n >= 0 );
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return detail::stein( n, bindings::begin_value(d),
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bindings::begin_value(e), m, bindings::begin_value(w),
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bindings::begin_value(iblock), bindings::begin_value(isplit),
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bindings::begin_value(z), bindings::stride_major(z),
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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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bindings::begin_value(ifail) );
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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 VectorW,
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|
typename VectorIBLOCK, typename VectorISPLIT, typename MatrixZ,
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typename VectorIFAIL >
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static std::ptrdiff_t invoke( const fortran_int_t n, const VectorD& d,
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const VectorE& e, const fortran_int_t m, const VectorW& w,
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const VectorIBLOCK& iblock, const VectorISPLIT& isplit,
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MatrixZ& z, VectorIFAIL& ifail, 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( n, d, e, m, w, iblock, isplit, z, ifail,
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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
|
||
|
|
// * Figures out the optimal workspace requirements, and passes
|
||
|
|
// the results to the user-defined workspace overload of the
|
||
|
|
// invoke static member
|
||
|
|
// * Enables the blocked algorithm (BLAS level 3)
|
||
|
|
//
|
||
|
|
template< typename VectorD, typename VectorE, typename VectorW,
|
||
|
|
typename VectorIBLOCK, typename VectorISPLIT, typename MatrixZ,
|
||
|
|
typename VectorIFAIL >
|
||
|
|
static std::ptrdiff_t invoke( const fortran_int_t n, const VectorD& d,
|
||
|
|
const VectorE& e, const fortran_int_t m, const VectorW& w,
|
||
|
|
const VectorIBLOCK& iblock, const VectorISPLIT& isplit,
|
||
|
|
MatrixZ& z, VectorIFAIL& ifail, optimal_workspace ) {
|
||
|
|
namespace bindings = ::boost::numeric::bindings;
|
||
|
|
return invoke( n, d, e, m, w, iblock, isplit, z, ifail,
|
||
|
|
minimal_workspace() );
|
||
|
|
}
|
||
|
|
|
||
|
|
//
|
||
|
|
// Static member function that returns the minimum size of
|
||
|
|
// workspace-array work.
|
||
|
|
//
|
||
|
|
static std::ptrdiff_t min_size_work( const std::ptrdiff_t n ) {
|
||
|
|
return 5*n;
|
||
|
|
}
|
||
|
|
|
||
|
|
//
|
||
|
|
// Static member function that returns the minimum size of
|
||
|
|
// workspace-array iwork.
|
||
|
|
//
|
||
|
|
static std::ptrdiff_t min_size_iwork( const std::ptrdiff_t n ) {
|
||
|
|
return n;
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
|
||
|
|
//
|
||
|
|
// Functions for direct use. These functions are overloaded for temporaries,
|
||
|
|
// so that wrapped types can still be passed and used for write-access. In
|
||
|
|
// addition, if applicable, they are overloaded for user-defined workspaces.
|
||
|
|
// Calls to these functions are passed to the stein_impl classes. In the
|
||
|
|
// documentation, most overloads are collapsed to avoid a large number of
|
||
|
|
// prototypes which are very similar.
|
||
|
|
//
|
||
|
|
|
||
|
|
//
|
||
|
|
// Overloaded function for stein. Its overload differs for
|
||
|
|
// * User-defined workspace
|
||
|
|
//
|
||
|
|
template< typename VectorD, typename VectorE, typename VectorW,
|
||
|
|
typename VectorIBLOCK, typename VectorISPLIT, typename MatrixZ,
|
||
|
|
typename VectorIFAIL, typename Workspace >
|
||
|
|
inline typename boost::enable_if< detail::is_workspace< Workspace >,
|
||
|
|
std::ptrdiff_t >::type
|
||
|
|
stein( const fortran_int_t n, const VectorD& d, const VectorE& e,
|
||
|
|
const fortran_int_t m, const VectorW& w,
|
||
|
|
const VectorIBLOCK& iblock, const VectorISPLIT& isplit, MatrixZ& z,
|
||
|
|
VectorIFAIL& ifail, Workspace work ) {
|
||
|
|
return stein_impl< typename bindings::value_type<
|
||
|
|
MatrixZ >::type >::invoke( n, d, e, m, w, iblock, isplit, z,
|
||
|
|
ifail, work );
|
||
|
|
}
|
||
|
|
|
||
|
|
//
|
||
|
|
// Overloaded function for stein. Its overload differs for
|
||
|
|
// * Default workspace-type (optimal)
|
||
|
|
//
|
||
|
|
template< typename VectorD, typename VectorE, typename VectorW,
|
||
|
|
typename VectorIBLOCK, typename VectorISPLIT, typename MatrixZ,
|
||
|
|
typename VectorIFAIL >
|
||
|
|
inline typename boost::disable_if< detail::is_workspace< VectorIFAIL >,
|
||
|
|
std::ptrdiff_t >::type
|
||
|
|
stein( const fortran_int_t n, const VectorD& d, const VectorE& e,
|
||
|
|
const fortran_int_t m, const VectorW& w,
|
||
|
|
const VectorIBLOCK& iblock, const VectorISPLIT& isplit, MatrixZ& z,
|
||
|
|
VectorIFAIL& ifail ) {
|
||
|
|
return stein_impl< typename bindings::value_type<
|
||
|
|
MatrixZ >::type >::invoke( n, d, e, m, w, iblock, isplit, z,
|
||
|
|
ifail, optimal_workspace() );
|
||
|
|
}
|
||
|
|
|
||
|
|
} // namespace lapack
|
||
|
|
} // namespace bindings
|
||
|
|
} // namespace numeric
|
||
|
|
} // namespace boost
|
||
|
|
|
||
|
|
#endif
|