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378 lines
16 KiB
378 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_COMPUTATIONAL_TGEXC_HPP |
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#define BOOST_NUMERIC_BINDINGS_LAPACK_COMPUTATIONAL_TGEXC_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 tgexc 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 tgexc( const fortran_bool_t wantq, |
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const fortran_bool_t wantz, const fortran_int_t n, float* a, |
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const fortran_int_t lda, float* b, const fortran_int_t ldb, float* q, |
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const fortran_int_t ldq, float* z, const fortran_int_t ldz, |
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fortran_int_t& ifst, fortran_int_t& ilst, float* work, |
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const fortran_int_t lwork ) { |
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fortran_int_t info(0); |
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LAPACK_STGEXC( &wantq, &wantz, &n, a, &lda, b, &ldb, q, &ldq, z, &ldz, |
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&ifst, &ilst, work, &lwork, &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 tgexc( const fortran_bool_t wantq, |
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const fortran_bool_t wantz, const fortran_int_t n, double* a, |
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const fortran_int_t lda, double* b, const fortran_int_t ldb, |
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double* q, const fortran_int_t ldq, double* z, |
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const fortran_int_t ldz, fortran_int_t& ifst, fortran_int_t& ilst, |
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double* work, const fortran_int_t lwork ) { |
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fortran_int_t info(0); |
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LAPACK_DTGEXC( &wantq, &wantz, &n, a, &lda, b, &ldb, q, &ldq, z, &ldz, |
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&ifst, &ilst, work, &lwork, &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 tgexc( const fortran_bool_t wantq, |
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const fortran_bool_t wantz, const fortran_int_t n, |
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std::complex<float>* a, const fortran_int_t lda, |
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std::complex<float>* b, const fortran_int_t ldb, |
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std::complex<float>* q, const fortran_int_t ldq, |
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std::complex<float>* z, const fortran_int_t ldz, |
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const fortran_int_t ifst, fortran_int_t& ilst ) { |
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fortran_int_t info(0); |
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LAPACK_CTGEXC( &wantq, &wantz, &n, a, &lda, b, &ldb, q, &ldq, z, &ldz, |
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&ifst, &ilst, &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 tgexc( const fortran_bool_t wantq, |
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const fortran_bool_t wantz, const fortran_int_t n, |
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std::complex<double>* a, const fortran_int_t lda, |
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std::complex<double>* b, const fortran_int_t ldb, |
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std::complex<double>* q, const fortran_int_t ldq, |
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std::complex<double>* z, const fortran_int_t ldz, |
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const fortran_int_t ifst, fortran_int_t& ilst ) { |
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fortran_int_t info(0); |
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LAPACK_ZTGEXC( &wantq, &wantz, &n, a, &lda, b, &ldb, q, &ldq, z, &ldz, |
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&ifst, &ilst, &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 tgexc. |
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// |
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template< typename Value, typename Enable = void > |
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struct tgexc_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 tgexc_impl< Value, typename boost::enable_if< is_real< Value > >::type > { |
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typedef Value value_type; |
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typedef typename remove_imaginary< Value >::type real_type; |
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// |
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// Static member function for user-defined workspaces, that |
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// * Deduces the required arguments for dispatching to LAPACK, and |
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// * Asserts that most arguments make sense. |
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// |
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template< typename MatrixA, typename MatrixB, typename MatrixQ, |
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typename MatrixZ, typename WORK > |
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static std::ptrdiff_t invoke( const fortran_bool_t wantq, |
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const fortran_bool_t wantz, MatrixA& a, MatrixB& b, MatrixQ& q, |
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MatrixZ& z, fortran_int_t& ifst, fortran_int_t& ilst, |
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detail::workspace1< WORK > 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< MatrixQ >::value) ); |
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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< 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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MatrixQ >::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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MatrixZ >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixA >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixB >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixQ >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixZ >::value) ); |
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BOOST_ASSERT( bindings::size(work.select(real_type())) >= |
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min_size_work( bindings::size_column(a) )); |
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BOOST_ASSERT( bindings::size_column(a) >= 0 ); |
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BOOST_ASSERT( bindings::size_minor(a) == 1 || |
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bindings::stride_minor(a) == 1 ); |
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BOOST_ASSERT( bindings::size_minor(b) == 1 || |
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bindings::stride_minor(b) == 1 ); |
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BOOST_ASSERT( bindings::size_minor(q) == 1 || |
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bindings::stride_minor(q) == 1 ); |
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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(a) >= std::max< std::ptrdiff_t >(1, |
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bindings::size_column(a)) ); |
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BOOST_ASSERT( bindings::stride_major(b) >= std::max< std::ptrdiff_t >(1, |
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bindings::size_column(a)) ); |
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return detail::tgexc( wantq, wantz, bindings::size_column(a), |
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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(q), bindings::stride_major(q), |
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bindings::begin_value(z), bindings::stride_major(z), ifst, |
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ilst, bindings::begin_value(work.select(real_type())), |
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bindings::size(work.select(real_type())) ); |
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} |
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// |
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// Static member function that |
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// * Figures out the minimal workspace requirements, and passes |
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// the results to the user-defined workspace overload of the |
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// invoke static member function |
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// * Enables the unblocked algorithm (BLAS level 2) |
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// |
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template< typename MatrixA, typename MatrixB, typename MatrixQ, |
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typename MatrixZ > |
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static std::ptrdiff_t invoke( const fortran_bool_t wantq, |
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const fortran_bool_t wantz, MatrixA& a, MatrixB& b, MatrixQ& q, |
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MatrixZ& z, fortran_int_t& ifst, fortran_int_t& ilst, |
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minimal_workspace ) { |
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namespace bindings = ::boost::numeric::bindings; |
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bindings::detail::array< real_type > tmp_work( min_size_work( |
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bindings::size_column(a) ) ); |
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return invoke( wantq, wantz, a, b, q, z, ifst, ilst, |
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workspace( tmp_work ) ); |
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} |
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// |
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// Static member function that |
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// * Figures out the optimal workspace requirements, and passes |
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// the results to the user-defined workspace overload of the |
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// invoke static member |
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// * Enables the blocked algorithm (BLAS level 3) |
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// |
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template< typename MatrixA, typename MatrixB, typename MatrixQ, |
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typename MatrixZ > |
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static std::ptrdiff_t invoke( const fortran_bool_t wantq, |
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const fortran_bool_t wantz, MatrixA& a, MatrixB& b, MatrixQ& q, |
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MatrixZ& z, fortran_int_t& ifst, fortran_int_t& ilst, |
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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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detail::tgexc( wantq, wantz, bindings::size_column(a), |
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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(q), bindings::stride_major(q), |
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bindings::begin_value(z), bindings::stride_major(z), ifst, |
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ilst, &opt_size_work, -1 ); |
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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( wantq, wantz, a, b, q, z, ifst, ilst, |
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workspace( tmp_work ) ); |
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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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if (n <= 1) |
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return 1; |
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else |
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return 4*n + 16; |
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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 tgexc_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, that |
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// * Deduces the required arguments for dispatching to LAPACK, and |
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// * Asserts that most arguments make sense. |
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// |
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template< typename MatrixA, typename MatrixB, typename MatrixQ, |
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typename MatrixZ > |
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static std::ptrdiff_t invoke( const fortran_bool_t wantq, |
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const fortran_bool_t wantz, MatrixA& a, MatrixB& b, MatrixQ& q, |
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MatrixZ& z, const fortran_int_t ifst, |
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fortran_int_t& ilst ) { |
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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< MatrixQ >::value) ); |
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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< 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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MatrixQ >::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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MatrixZ >::type >::type >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixA >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixB >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixQ >::value) ); |
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BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixZ >::value) ); |
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BOOST_ASSERT( bindings::size_column(a) >= 0 ); |
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BOOST_ASSERT( bindings::size_minor(a) == 1 || |
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bindings::stride_minor(a) == 1 ); |
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BOOST_ASSERT( bindings::size_minor(b) == 1 || |
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bindings::stride_minor(b) == 1 ); |
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BOOST_ASSERT( bindings::size_minor(q) == 1 || |
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bindings::stride_minor(q) == 1 ); |
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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(a) >= std::max< std::ptrdiff_t >(1, |
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bindings::size_column(a)) ); |
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BOOST_ASSERT( bindings::stride_major(b) >= std::max< std::ptrdiff_t >(1, |
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bindings::size_column(a)) ); |
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return detail::tgexc( wantq, wantz, bindings::size_column(a), |
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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(q), bindings::stride_major(q), |
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bindings::begin_value(z), bindings::stride_major(z), ifst, |
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ilst ); |
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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 tgexc_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 tgexc. Its overload differs for |
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// * User-defined workspace |
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// |
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template< typename MatrixA, typename MatrixB, typename MatrixQ, |
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typename MatrixZ, 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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tgexc( const fortran_bool_t wantq, const fortran_bool_t wantz, |
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MatrixA& a, MatrixB& b, MatrixQ& q, MatrixZ& z, |
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fortran_int_t& ifst, fortran_int_t& ilst, Workspace work ) { |
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return tgexc_impl< typename bindings::value_type< |
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MatrixA >::type >::invoke( wantq, wantz, a, b, q, z, ifst, ilst, |
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work ); |
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} |
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// |
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// Overloaded function for tgexc. Its overload differs for |
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// * Default workspace-type (optimal) |
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// |
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template< typename MatrixA, typename MatrixB, typename MatrixQ, |
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typename MatrixZ > |
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inline typename boost::disable_if< detail::is_workspace< MatrixZ >, |
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std::ptrdiff_t >::type |
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tgexc( const fortran_bool_t wantq, const fortran_bool_t wantz, |
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MatrixA& a, MatrixB& b, MatrixQ& q, MatrixZ& z, |
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fortran_int_t& ifst, fortran_int_t& ilst ) { |
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return tgexc_impl< typename bindings::value_type< |
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MatrixA >::type >::invoke( wantq, wantz, a, b, q, z, ifst, ilst, |
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optimal_workspace() ); |
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} |
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// |
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// Overloaded function for tgexc. Its overload differs for |
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// |
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template< typename MatrixA, typename MatrixB, typename MatrixQ, |
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typename MatrixZ > |
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inline std::ptrdiff_t tgexc( const fortran_bool_t wantq, |
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const fortran_bool_t wantz, MatrixA& a, MatrixB& b, MatrixQ& q, |
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MatrixZ& z, const fortran_int_t ifst, fortran_int_t& ilst ) { |
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return tgexc_impl< typename bindings::value_type< |
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MatrixA >::type >::invoke( wantq, wantz, a, b, q, z, ifst, ilst ); |
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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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