760 lines
26 KiB
Plaintext
760 lines
26 KiB
Plaintext
//
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// Copyright (c) 2000-2002
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// Joerg Walter, Mathias Koch
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//
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// Distributed under the Boost Software License, Version 1.0. (See
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// 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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// The authors gratefully acknowledge the support of
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// GeNeSys mbH & Co. KG in producing this work.
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//
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#ifndef _BOOST_UBLAS_TRAITS_
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#define _BOOST_UBLAS_TRAITS_
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#include <iterator>
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#include <complex>
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#include <boost/config/no_tr1/cmath.hpp>
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#include <boost/numeric/ublas/detail/config.hpp>
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#include <boost/numeric/ublas/detail/iterator.hpp>
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#include <boost/numeric/ublas/detail/returntype_deduction.hpp>
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#ifdef BOOST_UBLAS_USE_INTERVAL
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#include <boost/numeric/interval.hpp>
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#endif
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#include <boost/type_traits.hpp>
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#include <complex>
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#include <boost/typeof/typeof.hpp>
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#include <boost/utility/enable_if.hpp>
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#include <boost/type_traits/is_float.hpp>
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#include <boost/type_traits/is_integral.hpp>
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#include <boost/type_traits/is_unsigned.hpp>
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#include <boost/mpl/and.hpp>
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// anonymous namespace to avoid ADL issues
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namespace {
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template<class T> T boost_numeric_ublas_sqrt (const T& t) {
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using namespace std;
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// we'll find either std::sqrt or else another version via ADL:
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return sqrt (t);
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}
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template<typename T>
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inline typename boost::disable_if<
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boost::is_unsigned<T>, T >::type
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boost_numeric_ublas_abs (const T &t ) {
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using namespace std;
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return abs( t );
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}
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template<typename T>
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inline typename boost::enable_if<
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boost::is_unsigned<T>, T >::type
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boost_numeric_ublas_abs (const T &t ) {
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return t;
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}
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}
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namespace boost { namespace numeric { namespace ublas {
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template<typename R, typename I>
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typename boost::enable_if<
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mpl::and_<
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boost::is_float<R>,
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boost::is_integral<I>
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>,
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std::complex<R> >::type inline operator+ (I in1, std::complex<R> const& in2 ) {
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return R (in1) + in2;
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}
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template<typename R, typename I>
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typename boost::enable_if<
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mpl::and_<
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boost::is_float<R>,
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boost::is_integral<I>
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>,
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std::complex<R> >::type inline operator+ (std::complex<R> const& in1, I in2) {
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return in1 + R (in2);
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}
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template<typename R, typename I>
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typename boost::enable_if<
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mpl::and_<
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boost::is_float<R>,
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boost::is_integral<I>
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>,
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std::complex<R> >::type inline operator- (I in1, std::complex<R> const& in2) {
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return R (in1) - in2;
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}
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template<typename R, typename I>
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typename boost::enable_if<
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mpl::and_<
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boost::is_float<R>,
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boost::is_integral<I>
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>,
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std::complex<R> >::type inline operator- (std::complex<R> const& in1, I in2) {
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return in1 - R (in2);
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}
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template<typename R, typename I>
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typename boost::enable_if<
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mpl::and_<
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boost::is_float<R>,
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boost::is_integral<I>
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>,
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std::complex<R> >::type inline operator* (I in1, std::complex<R> const& in2) {
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return R (in1) * in2;
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}
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template<typename R, typename I>
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typename boost::enable_if<
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mpl::and_<
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boost::is_float<R>,
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boost::is_integral<I>
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>,
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std::complex<R> >::type inline operator* (std::complex<R> const& in1, I in2) {
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return in1 * R(in2);
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}
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template<typename R, typename I>
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typename boost::enable_if<
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mpl::and_<
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boost::is_float<R>,
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boost::is_integral<I>
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>,
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std::complex<R> >::type inline operator/ (I in1, std::complex<R> const& in2) {
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return R(in1) / in2;
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}
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template<typename R, typename I>
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typename boost::enable_if<
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mpl::and_<
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boost::is_float<R>,
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boost::is_integral<I>
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>,
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std::complex<R> >::type inline operator/ (std::complex<R> const& in1, I in2) {
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return in1 / R (in2);
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}
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// Use Joel de Guzman's return type deduction
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// uBLAS assumes a common return type for all binary arithmetic operators
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template<class X, class Y>
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struct promote_traits {
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typedef type_deduction_detail::base_result_of<X, Y> base_type;
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static typename base_type::x_type x;
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static typename base_type::y_type y;
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static const std::size_t size = sizeof (
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type_deduction_detail::test<
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typename base_type::x_type
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, typename base_type::y_type
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>(x + y) // Use x+y to stand of all the arithmetic actions
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);
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static const std::size_t index = (size / sizeof (char)) - 1;
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typedef typename mpl::at_c<
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typename base_type::types, index>::type id;
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typedef typename id::type promote_type;
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};
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// Type traits - generic numeric properties and functions
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template<class T>
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struct type_traits;
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// Define properties for a generic scalar type
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template<class T>
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struct scalar_traits {
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typedef scalar_traits<T> self_type;
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typedef T value_type;
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typedef const T &const_reference;
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typedef T &reference;
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typedef T real_type;
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typedef real_type precision_type; // we do not know what type has more precision then the real_type
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static const unsigned plus_complexity = 1;
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static const unsigned multiplies_complexity = 1;
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static
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BOOST_UBLAS_INLINE
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real_type real (const_reference t) {
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return t;
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}
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static
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BOOST_UBLAS_INLINE
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real_type imag (const_reference /*t*/) {
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return 0;
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}
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static
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BOOST_UBLAS_INLINE
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value_type conj (const_reference t) {
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return t;
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}
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static
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BOOST_UBLAS_INLINE
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real_type type_abs (const_reference t) {
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return boost_numeric_ublas_abs (t);
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}
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static
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BOOST_UBLAS_INLINE
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value_type type_sqrt (const_reference t) {
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// force a type conversion back to value_type for intgral types
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return value_type (boost_numeric_ublas_sqrt (t));
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}
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static
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BOOST_UBLAS_INLINE
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real_type norm_1 (const_reference t) {
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return self_type::type_abs (t);
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}
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static
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BOOST_UBLAS_INLINE
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real_type norm_2 (const_reference t) {
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return self_type::type_abs (t);
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}
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static
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BOOST_UBLAS_INLINE
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real_type norm_inf (const_reference t) {
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return self_type::type_abs (t);
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}
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static
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BOOST_UBLAS_INLINE
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bool equals (const_reference t1, const_reference t2) {
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return self_type::norm_inf (t1 - t2) < BOOST_UBLAS_TYPE_CHECK_EPSILON *
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(std::max) ((std::max) (self_type::norm_inf (t1),
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self_type::norm_inf (t2)),
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BOOST_UBLAS_TYPE_CHECK_MIN);
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}
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};
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// Define default type traits, assume T is a scalar type
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template<class T>
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struct type_traits : scalar_traits <T> {
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typedef type_traits<T> self_type;
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typedef T value_type;
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typedef const T &const_reference;
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typedef T &reference;
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typedef T real_type;
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typedef real_type precision_type;
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static const unsigned multiplies_complexity = 1;
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};
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// Define real type traits
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template<>
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struct type_traits<float> : scalar_traits<float> {
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typedef type_traits<float> self_type;
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typedef float value_type;
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typedef const value_type &const_reference;
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typedef value_type &reference;
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typedef value_type real_type;
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typedef double precision_type;
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};
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template<>
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struct type_traits<double> : scalar_traits<double> {
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typedef type_traits<double> self_type;
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typedef double value_type;
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typedef const value_type &const_reference;
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typedef value_type &reference;
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typedef value_type real_type;
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typedef long double precision_type;
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};
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template<>
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struct type_traits<long double> : scalar_traits<long double> {
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typedef type_traits<long double> self_type;
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typedef long double value_type;
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typedef const value_type &const_reference;
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typedef value_type &reference;
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typedef value_type real_type;
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typedef value_type precision_type;
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};
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// Define properties for a generic complex type
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template<class T>
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struct complex_traits {
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typedef complex_traits<T> self_type;
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typedef T value_type;
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typedef const T &const_reference;
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typedef T &reference;
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typedef typename T::value_type real_type;
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typedef real_type precision_type; // we do not know what type has more precision then the real_type
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static const unsigned plus_complexity = 2;
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static const unsigned multiplies_complexity = 6;
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static
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BOOST_UBLAS_INLINE
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real_type real (const_reference t) {
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return std::real (t);
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}
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static
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BOOST_UBLAS_INLINE
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real_type imag (const_reference t) {
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return std::imag (t);
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}
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static
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BOOST_UBLAS_INLINE
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value_type conj (const_reference t) {
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return std::conj (t);
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}
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static
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BOOST_UBLAS_INLINE
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real_type type_abs (const_reference t) {
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return abs (t);
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}
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static
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BOOST_UBLAS_INLINE
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value_type type_sqrt (const_reference t) {
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return sqrt (t);
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}
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static
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BOOST_UBLAS_INLINE
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real_type norm_1 (const_reference t) {
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return self_type::type_abs (t);
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// original computation has been replaced because a complex number should behave like a scalar type
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// return type_traits<real_type>::type_abs (self_type::real (t)) +
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// type_traits<real_type>::type_abs (self_type::imag (t));
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}
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static
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BOOST_UBLAS_INLINE
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real_type norm_2 (const_reference t) {
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return self_type::type_abs (t);
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}
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static
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BOOST_UBLAS_INLINE
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real_type norm_inf (const_reference t) {
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return self_type::type_abs (t);
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// original computation has been replaced because a complex number should behave like a scalar type
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// return (std::max) (type_traits<real_type>::type_abs (self_type::real (t)),
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// type_traits<real_type>::type_abs (self_type::imag (t)));
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}
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static
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BOOST_UBLAS_INLINE
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bool equals (const_reference t1, const_reference t2) {
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return self_type::norm_inf (t1 - t2) < BOOST_UBLAS_TYPE_CHECK_EPSILON *
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(std::max) ((std::max) (self_type::norm_inf (t1),
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self_type::norm_inf (t2)),
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BOOST_UBLAS_TYPE_CHECK_MIN);
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}
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};
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// Define complex type traits
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template<>
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struct type_traits<std::complex<float> > : complex_traits<std::complex<float> >{
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typedef type_traits<std::complex<float> > self_type;
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typedef std::complex<float> value_type;
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typedef const value_type &const_reference;
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typedef value_type &reference;
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typedef float real_type;
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typedef std::complex<double> precision_type;
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};
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template<>
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struct type_traits<std::complex<double> > : complex_traits<std::complex<double> >{
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typedef type_traits<std::complex<double> > self_type;
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typedef std::complex<double> value_type;
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typedef const value_type &const_reference;
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typedef value_type &reference;
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typedef double real_type;
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typedef std::complex<long double> precision_type;
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};
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template<>
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struct type_traits<std::complex<long double> > : complex_traits<std::complex<long double> > {
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typedef type_traits<std::complex<long double> > self_type;
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typedef std::complex<long double> value_type;
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typedef const value_type &const_reference;
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typedef value_type &reference;
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typedef long double real_type;
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typedef value_type precision_type;
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};
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#ifdef BOOST_UBLAS_USE_INTERVAL
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// Define scalar interval type traits
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template<>
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struct type_traits<boost::numeric::interval<float> > : scalar_traits<boost::numeric::interval<float> > {
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typedef type_traits<boost::numeric::interval<float> > self_type;
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typedef boost::numeric::interval<float> value_type;
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typedef const value_type &const_reference;
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typedef value_type &reference;
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typedef value_type real_type;
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typedef boost::numeric::interval<double> precision_type;
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};
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template<>
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struct type_traits<boost::numeric::interval<double> > : scalar_traits<boost::numeric::interval<double> > {
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typedef type_traits<boost::numeric::interval<double> > self_type;
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typedef boost::numeric::interval<double> value_type;
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typedef const value_type &const_reference;
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typedef value_type &reference;
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typedef value_type real_type;
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typedef boost::numeric::interval<long double> precision_type;
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};
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template<>
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struct type_traits<boost::numeric::interval<long double> > : scalar_traits<boost::numeric::interval<long double> > {
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typedef type_traits<boost::numeric::interval<long double> > self_type;
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typedef boost::numeric::interval<long double> value_type;
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typedef const value_type &const_reference;
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typedef value_type &reference;
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typedef value_type real_type;
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typedef value_type precision_type;
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};
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#endif
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// Storage tags -- hierarchical definition of storage characteristics
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struct unknown_storage_tag {};
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struct sparse_proxy_tag: public unknown_storage_tag {};
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struct sparse_tag: public sparse_proxy_tag {};
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struct packed_proxy_tag: public sparse_proxy_tag {};
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struct packed_tag: public packed_proxy_tag {};
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struct dense_proxy_tag: public packed_proxy_tag {};
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struct dense_tag: public dense_proxy_tag {};
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template<class S1, class S2>
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struct storage_restrict_traits {
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typedef S1 storage_category;
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};
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template<>
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struct storage_restrict_traits<sparse_tag, dense_proxy_tag> {
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typedef sparse_proxy_tag storage_category;
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};
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template<>
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struct storage_restrict_traits<sparse_tag, packed_proxy_tag> {
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typedef sparse_proxy_tag storage_category;
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};
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template<>
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struct storage_restrict_traits<sparse_tag, sparse_proxy_tag> {
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typedef sparse_proxy_tag storage_category;
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};
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template<>
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struct storage_restrict_traits<packed_tag, dense_proxy_tag> {
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typedef packed_proxy_tag storage_category;
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};
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template<>
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struct storage_restrict_traits<packed_tag, packed_proxy_tag> {
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typedef packed_proxy_tag storage_category;
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};
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template<>
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struct storage_restrict_traits<packed_tag, sparse_proxy_tag> {
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typedef sparse_proxy_tag storage_category;
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};
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template<>
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struct storage_restrict_traits<packed_proxy_tag, sparse_proxy_tag> {
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typedef sparse_proxy_tag storage_category;
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};
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template<>
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struct storage_restrict_traits<dense_tag, dense_proxy_tag> {
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typedef dense_proxy_tag storage_category;
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};
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template<>
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struct storage_restrict_traits<dense_tag, packed_proxy_tag> {
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typedef packed_proxy_tag storage_category;
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};
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template<>
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struct storage_restrict_traits<dense_tag, sparse_proxy_tag> {
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typedef sparse_proxy_tag storage_category;
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};
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template<>
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struct storage_restrict_traits<dense_proxy_tag, packed_proxy_tag> {
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typedef packed_proxy_tag storage_category;
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};
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template<>
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struct storage_restrict_traits<dense_proxy_tag, sparse_proxy_tag> {
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typedef sparse_proxy_tag storage_category;
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};
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// Iterator tags -- hierarchical definition of storage characteristics
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struct sparse_bidirectional_iterator_tag : public std::bidirectional_iterator_tag {};
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struct packed_random_access_iterator_tag : public std::random_access_iterator_tag {};
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struct dense_random_access_iterator_tag : public packed_random_access_iterator_tag {};
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// Thanks to Kresimir Fresl for convincing Comeau with iterator_base_traits ;-)
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template<class IC>
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struct iterator_base_traits {};
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template<>
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struct iterator_base_traits<std::forward_iterator_tag> {
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template<class I, class T>
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struct iterator_base {
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typedef forward_iterator_base<std::forward_iterator_tag, I, T> type;
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};
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};
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template<>
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struct iterator_base_traits<std::bidirectional_iterator_tag> {
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template<class I, class T>
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struct iterator_base {
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typedef bidirectional_iterator_base<std::bidirectional_iterator_tag, I, T> type;
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};
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};
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template<>
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struct iterator_base_traits<sparse_bidirectional_iterator_tag> {
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template<class I, class T>
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struct iterator_base {
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typedef bidirectional_iterator_base<sparse_bidirectional_iterator_tag, I, T> type;
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};
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};
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template<>
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struct iterator_base_traits<std::random_access_iterator_tag> {
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template<class I, class T>
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struct iterator_base {
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typedef random_access_iterator_base<std::random_access_iterator_tag, I, T> type;
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};
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};
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template<>
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struct iterator_base_traits<packed_random_access_iterator_tag> {
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template<class I, class T>
|
|
struct iterator_base {
|
|
typedef random_access_iterator_base<packed_random_access_iterator_tag, I, T> type;
|
|
};
|
|
};
|
|
template<>
|
|
struct iterator_base_traits<dense_random_access_iterator_tag> {
|
|
template<class I, class T>
|
|
struct iterator_base {
|
|
typedef random_access_iterator_base<dense_random_access_iterator_tag, I, T> type;
|
|
};
|
|
};
|
|
|
|
template<class I1, class I2>
|
|
struct iterator_restrict_traits {
|
|
typedef I1 iterator_category;
|
|
};
|
|
|
|
template<>
|
|
struct iterator_restrict_traits<packed_random_access_iterator_tag, sparse_bidirectional_iterator_tag> {
|
|
typedef sparse_bidirectional_iterator_tag iterator_category;
|
|
};
|
|
template<>
|
|
struct iterator_restrict_traits<sparse_bidirectional_iterator_tag, packed_random_access_iterator_tag> {
|
|
typedef sparse_bidirectional_iterator_tag iterator_category;
|
|
};
|
|
|
|
template<>
|
|
struct iterator_restrict_traits<dense_random_access_iterator_tag, sparse_bidirectional_iterator_tag> {
|
|
typedef sparse_bidirectional_iterator_tag iterator_category;
|
|
};
|
|
template<>
|
|
struct iterator_restrict_traits<sparse_bidirectional_iterator_tag, dense_random_access_iterator_tag> {
|
|
typedef sparse_bidirectional_iterator_tag iterator_category;
|
|
};
|
|
|
|
template<>
|
|
struct iterator_restrict_traits<dense_random_access_iterator_tag, packed_random_access_iterator_tag> {
|
|
typedef packed_random_access_iterator_tag iterator_category;
|
|
};
|
|
template<>
|
|
struct iterator_restrict_traits<packed_random_access_iterator_tag, dense_random_access_iterator_tag> {
|
|
typedef packed_random_access_iterator_tag iterator_category;
|
|
};
|
|
|
|
template<class I>
|
|
BOOST_UBLAS_INLINE
|
|
void increment (I &it, const I &it_end, typename I::difference_type compare, packed_random_access_iterator_tag) {
|
|
it += (std::min) (compare, it_end - it);
|
|
}
|
|
template<class I>
|
|
BOOST_UBLAS_INLINE
|
|
void increment (I &it, const I &/* it_end */, typename I::difference_type /* compare */, sparse_bidirectional_iterator_tag) {
|
|
++ it;
|
|
}
|
|
template<class I>
|
|
BOOST_UBLAS_INLINE
|
|
void increment (I &it, const I &it_end, typename I::difference_type compare) {
|
|
increment (it, it_end, compare, typename I::iterator_category ());
|
|
}
|
|
|
|
template<class I>
|
|
BOOST_UBLAS_INLINE
|
|
void increment (I &it, const I &it_end) {
|
|
#if BOOST_UBLAS_TYPE_CHECK
|
|
I cit (it);
|
|
while (cit != it_end) {
|
|
BOOST_UBLAS_CHECK (*cit == typename I::value_type/*zero*/(), internal_logic ());
|
|
++ cit;
|
|
}
|
|
#endif
|
|
it = it_end;
|
|
}
|
|
|
|
namespace detail {
|
|
|
|
// specialisation which define whether a type has a trivial constructor
|
|
// or not. This is used by array types.
|
|
template<typename T>
|
|
struct has_trivial_constructor : public boost::has_trivial_constructor<T> {};
|
|
|
|
template<typename T>
|
|
struct has_trivial_destructor : public boost::has_trivial_destructor<T> {};
|
|
|
|
template<typename FLT>
|
|
struct has_trivial_constructor<std::complex<FLT> > : public has_trivial_constructor<FLT> {};
|
|
|
|
template<typename FLT>
|
|
struct has_trivial_destructor<std::complex<FLT> > : public has_trivial_destructor<FLT> {};
|
|
|
|
}
|
|
|
|
|
|
/** \brief Traits class to extract type information from a constant matrix or vector CONTAINER.
|
|
*
|
|
*/
|
|
template < class E >
|
|
struct container_view_traits {
|
|
/// type of indices
|
|
typedef typename E::size_type size_type;
|
|
/// type of differences of indices
|
|
typedef typename E::difference_type difference_type;
|
|
|
|
/// storage category: \c unknown_storage_tag, \c dense_tag, \c packed_tag, ...
|
|
typedef typename E::storage_category storage_category;
|
|
|
|
/// type of elements
|
|
typedef typename E::value_type value_type;
|
|
/// const reference to an element
|
|
typedef typename E::const_reference const_reference;
|
|
|
|
/// type used in expressions to mark a reference to this class (usually a const container_reference<const E> or the class itself)
|
|
typedef typename E::const_closure_type const_closure_type;
|
|
};
|
|
|
|
/** \brief Traits class to extract additional type information from a mutable matrix or vector CONTAINER.
|
|
*
|
|
*/
|
|
template < class E >
|
|
struct mutable_container_traits {
|
|
/// reference to an element
|
|
typedef typename E::reference reference;
|
|
|
|
/// type used in expressions to mark a reference to this class (usually a container_reference<E> or the class itself)
|
|
typedef typename E::closure_type closure_type;
|
|
};
|
|
|
|
/** \brief Traits class to extract type information from a matrix or vector CONTAINER.
|
|
*
|
|
*/
|
|
template < class E >
|
|
struct container_traits
|
|
: container_view_traits<E>, mutable_container_traits<E> {
|
|
|
|
};
|
|
|
|
|
|
/** \brief Traits class to extract type information from a constant MATRIX.
|
|
*
|
|
*/
|
|
template < class MATRIX >
|
|
struct matrix_view_traits : container_view_traits <MATRIX> {
|
|
|
|
/// orientation of the matrix, either \c row_major_tag, \c column_major_tag or \c unknown_orientation_tag
|
|
typedef typename MATRIX::orientation_category orientation_category;
|
|
|
|
/// row iterator for the matrix
|
|
typedef typename MATRIX::const_iterator1 const_iterator1;
|
|
|
|
/// column iterator for the matrix
|
|
typedef typename MATRIX::const_iterator2 const_iterator2;
|
|
};
|
|
|
|
/** \brief Traits class to extract additional type information from a mutable MATRIX.
|
|
*
|
|
*/
|
|
template < class MATRIX >
|
|
struct mutable_matrix_traits
|
|
: mutable_container_traits <MATRIX> {
|
|
|
|
/// row iterator for the matrix
|
|
typedef typename MATRIX::iterator1 iterator1;
|
|
|
|
/// column iterator for the matrix
|
|
typedef typename MATRIX::iterator2 iterator2;
|
|
};
|
|
|
|
|
|
/** \brief Traits class to extract type information from a MATRIX.
|
|
*
|
|
*/
|
|
template < class MATRIX >
|
|
struct matrix_traits
|
|
: matrix_view_traits <MATRIX>, mutable_matrix_traits <MATRIX> {
|
|
};
|
|
|
|
/** \brief Traits class to extract type information from a VECTOR.
|
|
*
|
|
*/
|
|
template < class VECTOR >
|
|
struct vector_view_traits : container_view_traits <VECTOR> {
|
|
|
|
/// iterator for the VECTOR
|
|
typedef typename VECTOR::const_iterator const_iterator;
|
|
|
|
/// iterator pointing to the first element
|
|
static
|
|
const_iterator begin(const VECTOR & v) {
|
|
return v.begin();
|
|
}
|
|
/// iterator pointing behind the last element
|
|
static
|
|
const_iterator end(const VECTOR & v) {
|
|
return v.end();
|
|
}
|
|
|
|
};
|
|
|
|
/** \brief Traits class to extract type information from a VECTOR.
|
|
*
|
|
*/
|
|
template < class VECTOR >
|
|
struct mutable_vector_traits : mutable_container_traits <VECTOR> {
|
|
/// iterator for the VECTOR
|
|
typedef typename VECTOR::iterator iterator;
|
|
|
|
/// iterator pointing to the first element
|
|
static
|
|
iterator begin(VECTOR & v) {
|
|
return v.begin();
|
|
}
|
|
|
|
/// iterator pointing behind the last element
|
|
static
|
|
iterator end(VECTOR & v) {
|
|
return v.end();
|
|
}
|
|
};
|
|
|
|
/** \brief Traits class to extract type information from a VECTOR.
|
|
*
|
|
*/
|
|
template < class VECTOR >
|
|
struct vector_traits
|
|
: vector_view_traits <VECTOR>, mutable_vector_traits <VECTOR> {
|
|
};
|
|
|
|
|
|
// Note: specializations for T[N] and T[M][N] have been moved to traits/c_array.hpp
|
|
|
|
}}}
|
|
|
|
#endif
|