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<h1>traits.hpp</h1><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">//</span>
<a name="l00002"></a>00002 <span class="comment">// Copyright (c) 2000-2002</span>
<a name="l00003"></a>00003 <span class="comment">// Joerg Walter, Mathias Koch</span>
<a name="l00004"></a>00004 <span class="comment">//</span>
<a name="l00005"></a>00005 <span class="comment">// Distributed under the Boost Software License, Version 1.0. (See</span>
<a name="l00006"></a>00006 <span class="comment">// accompanying file LICENSE_1_0.txt or copy at</span>
<a name="l00007"></a>00007 <span class="comment">// http://www.boost.org/LICENSE_1_0.txt)</span>
<a name="l00008"></a>00008 <span class="comment">//</span>
<a name="l00009"></a>00009 <span class="comment">// The authors gratefully acknowledge the support of</span>
<a name="l00010"></a>00010 <span class="comment">// GeNeSys mbH & Co. KG in producing this work.</span>
<a name="l00011"></a>00011 <span class="comment">//</span>
<a name="l00012"></a>00012
<a name="l00013"></a>00013 <span class="preprocessor">#ifndef _BOOST_UBLAS_TRAITS_</span>
<a name="l00014"></a>00014 <span class="preprocessor"></span><span class="preprocessor">#define _BOOST_UBLAS_TRAITS_</span>
<a name="l00015"></a>00015 <span class="preprocessor"></span>
<a name="l00016"></a>00016 <span class="preprocessor">#include <iterator></span>
<a name="l00017"></a>00017 <span class="preprocessor">#include <complex></span>
<a name="l00018"></a>00018 <span class="preprocessor">#include <boost/config/no_tr1/cmath.hpp></span>
<a name="l00019"></a>00019
<a name="l00020"></a>00020 <span class="preprocessor">#include <boost/numeric/ublas/detail/config.hpp></span>
<a name="l00021"></a>00021 <span class="preprocessor">#include <boost/numeric/ublas/detail/iterator.hpp></span>
<a name="l00022"></a>00022 <span class="preprocessor">#include <boost/numeric/ublas/detail/returntype_deduction.hpp></span>
<a name="l00023"></a>00023
<a name="l00024"></a>00024 <span class="preprocessor">#include <boost/type_traits.hpp></span>
<a name="l00025"></a>00025 <span class="preprocessor">#include <complex></span>
<a name="l00026"></a>00026 <span class="preprocessor">#include <boost/typeof/typeof.hpp></span>
<a name="l00027"></a>00027 <span class="preprocessor">#include <boost/utility/enable_if.hpp></span>
<a name="l00028"></a>00028 <span class="preprocessor">#include <boost/type_traits/is_float.hpp></span>
<a name="l00029"></a>00029 <span class="preprocessor">#include <boost/type_traits/is_integral.hpp></span>
<a name="l00030"></a>00030 <span class="preprocessor">#include <boost/mpl/and.hpp></span>
<a name="l00031"></a>00031
<a name="l00032"></a>00032 <span class="comment">// anonymous namespace to avoid ADL issues</span>
<a name="l00033"></a>00033 <span class="keyword">namespace </span>{
<a name="l00034"></a>00034 <span class="keyword">template</span><<span class="keyword">class</span> T> T boost_numeric_ublas_sqrt (<span class="keyword">const</span> T& t) {
<a name="l00035"></a>00035 <span class="keyword">using namespace </span>std;
<a name="l00036"></a>00036 <span class="comment">// we'll find either std::sqrt or else another version via ADL:</span>
<a name="l00037"></a>00037 <span class="keywordflow">return</span> sqrt (t);
<a name="l00038"></a>00038 }
<a name="l00039"></a>00039 <span class="keyword">template</span><<span class="keyword">class</span> T> T boost_numeric_ublas_abs (<span class="keyword">const</span> T& t) {
<a name="l00040"></a>00040 <span class="keyword">using namespace </span>std;
<a name="l00041"></a>00041 <span class="comment">// we'll find either std::abs or else another version via ADL:</span>
<a name="l00042"></a>00042 <span class="keywordflow">return</span> abs (t);
<a name="l00043"></a>00043 }
<a name="l00044"></a>00044 }
<a name="l00045"></a>00045
<a name="l00046"></a>00046 <span class="keyword">namespace </span>boost { <span class="keyword">namespace </span>numeric { <span class="keyword">namespace </span>ublas {
<a name="l00047"></a>00047
<a name="l00048"></a>00048 <span class="comment">// Use Joel de Guzman's return type deduction</span>
<a name="l00049"></a>00049 <span class="comment">// uBLAS assumes a common return type for all binary arithmetic operators</span>
<a name="l00050"></a>00050 <span class="keyword">template</span><<span class="keyword">class</span> X, <span class="keyword">class</span> Y>
<a name="l00051"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1promote__traits.html">00051</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1promote__traits.html">promote_traits</a> {
<a name="l00052"></a>00052 <span class="keyword">typedef</span> type_deduction_detail::base_result_of<X, Y> base_type;
<a name="l00053"></a>00053 <span class="keyword">static</span> <span class="keyword">typename</span> base_type::x_type x;
<a name="l00054"></a>00054 <span class="keyword">static</span> <span class="keyword">typename</span> base_type::y_type y;
<a name="l00055"></a>00055 <span class="keyword">static</span> <span class="keyword">const</span> std::size_t size = <span class="keyword">sizeof</span> (
<a name="l00056"></a>00056 type_deduction_detail::test<
<a name="l00057"></a>00057 <span class="keyword">typename</span> base_type::x_type
<a name="l00058"></a>00058 , <span class="keyword">typename</span> base_type::y_type
<a name="l00059"></a>00059 >(x + y) <span class="comment">// Use x+y to stand of all the arithmetic actions</span>
<a name="l00060"></a>00060 );
<a name="l00061"></a>00061
<a name="l00062"></a>00062 <span class="keyword">static</span> <span class="keyword">const</span> std::size_t index = (size / <span class="keyword">sizeof</span> (char)) - 1;
<a name="l00063"></a>00063 <span class="keyword">typedef</span> <span class="keyword">typename</span> mpl::at_c<
<a name="l00064"></a>00064 <span class="keyword">typename</span> base_type::types, index>::type id;
<a name="l00065"></a>00065 <span class="keyword">typedef</span> <span class="keyword">typename</span> id::type promote_type;
<a name="l00066"></a>00066 };
<a name="l00067"></a>00067
<a name="l00068"></a>00068 <span class="keyword">template</span><<span class="keyword">typename</span> R, <span class="keyword">typename</span> I>
<a name="l00069"></a>00069 <span class="keyword">typename</span> boost::enable_if<
<a name="l00070"></a>00070 mpl::and_<
<a name="l00071"></a>00071 boost::is_float<R>,
<a name="l00072"></a>00072 boost::is_integral<I>
<a name="l00073"></a>00073 >,
<a name="l00074"></a>00074 std::complex<R> >::type <span class="keyword">inline</span> operator+ (I in1, std::complex<R> <span class="keyword">const</span>& in2 ) {
<a name="l00075"></a>00075 <span class="keywordflow">return</span> R (in1) + in2;
<a name="l00076"></a>00076 }
<a name="l00077"></a>00077
<a name="l00078"></a>00078 <span class="keyword">template</span><<span class="keyword">typename</span> R, <span class="keyword">typename</span> I>
<a name="l00079"></a>00079 <span class="keyword">typename</span> boost::enable_if<
<a name="l00080"></a>00080 mpl::and_<
<a name="l00081"></a>00081 boost::is_float<R>,
<a name="l00082"></a>00082 boost::is_integral<I>
<a name="l00083"></a>00083 >,
<a name="l00084"></a>00084 std::complex<R> >::type <span class="keyword">inline</span> operator+ (std::complex<R> <span class="keyword">const</span>& in1, I in2) {
<a name="l00085"></a>00085 <span class="keywordflow">return</span> in1 + R (in2);
<a name="l00086"></a>00086 }
<a name="l00087"></a>00087
<a name="l00088"></a>00088 <span class="keyword">template</span><<span class="keyword">typename</span> R, <span class="keyword">typename</span> I>
<a name="l00089"></a>00089 <span class="keyword">typename</span> boost::enable_if<
<a name="l00090"></a>00090 mpl::and_<
<a name="l00091"></a>00091 boost::is_float<R>,
<a name="l00092"></a>00092 boost::is_integral<I>
<a name="l00093"></a>00093 >,
<a name="l00094"></a>00094 std::complex<R> >::type <span class="keyword">inline</span> operator- (I in1, std::complex<R> <span class="keyword">const</span>& in2) {
<a name="l00095"></a>00095 <span class="keywordflow">return</span> R (in1) - in2;
<a name="l00096"></a>00096 }
<a name="l00097"></a>00097
<a name="l00098"></a>00098 <span class="keyword">template</span><<span class="keyword">typename</span> R, <span class="keyword">typename</span> I>
<a name="l00099"></a>00099 <span class="keyword">typename</span> boost::enable_if<
<a name="l00100"></a>00100 mpl::and_<
<a name="l00101"></a>00101 boost::is_float<R>,
<a name="l00102"></a>00102 boost::is_integral<I>
<a name="l00103"></a>00103 >,
<a name="l00104"></a>00104 std::complex<R> >::type <span class="keyword">inline</span> operator- (std::complex<R> <span class="keyword">const</span>& in1, I in2) {
<a name="l00105"></a>00105 <span class="keywordflow">return</span> in1 - R (in2);
<a name="l00106"></a>00106 }
<a name="l00107"></a>00107
<a name="l00108"></a>00108 <span class="keyword">template</span><<span class="keyword">typename</span> R, <span class="keyword">typename</span> I>
<a name="l00109"></a>00109 <span class="keyword">typename</span> boost::enable_if<
<a name="l00110"></a>00110 mpl::and_<
<a name="l00111"></a>00111 boost::is_float<R>,
<a name="l00112"></a>00112 boost::is_integral<I>
<a name="l00113"></a>00113 >,
<a name="l00114"></a>00114 std::complex<R> >::type <span class="keyword">inline</span> operator* (I in1, std::complex<R> <span class="keyword">const</span>& in2) {
<a name="l00115"></a>00115 <span class="keywordflow">return</span> R (in1) * in2;
<a name="l00116"></a>00116 }
<a name="l00117"></a>00117
<a name="l00118"></a>00118 <span class="keyword">template</span><<span class="keyword">typename</span> R, <span class="keyword">typename</span> I>
<a name="l00119"></a>00119 <span class="keyword">typename</span> boost::enable_if<
<a name="l00120"></a>00120 mpl::and_<
<a name="l00121"></a>00121 boost::is_float<R>,
<a name="l00122"></a>00122 boost::is_integral<I>
<a name="l00123"></a>00123 >,
<a name="l00124"></a>00124 std::complex<R> >::type <span class="keyword">inline</span> operator* (std::complex<R> <span class="keyword">const</span>& in1, I in2) {
<a name="l00125"></a>00125 <span class="keywordflow">return</span> in1 * R(in2);
<a name="l00126"></a>00126 }
<a name="l00127"></a>00127
<a name="l00128"></a>00128 <span class="keyword">template</span><<span class="keyword">typename</span> R, <span class="keyword">typename</span> I>
<a name="l00129"></a>00129 <span class="keyword">typename</span> boost::enable_if<
<a name="l00130"></a>00130 mpl::and_<
<a name="l00131"></a>00131 boost::is_float<R>,
<a name="l00132"></a>00132 boost::is_integral<I>
<a name="l00133"></a>00133 >,
<a name="l00134"></a>00134 std::complex<R> >::type <span class="keyword">inline</span> operator/ (I in1, std::complex<R> <span class="keyword">const</span>& in2) {
<a name="l00135"></a>00135 <span class="keywordflow">return</span> R(in1) / in2;
<a name="l00136"></a>00136 }
<a name="l00137"></a>00137
<a name="l00138"></a>00138 <span class="keyword">template</span><<span class="keyword">typename</span> R, <span class="keyword">typename</span> I>
<a name="l00139"></a>00139 <span class="keyword">typename</span> boost::enable_if<
<a name="l00140"></a>00140 mpl::and_<
<a name="l00141"></a>00141 boost::is_float<R>,
<a name="l00142"></a>00142 boost::is_integral<I>
<a name="l00143"></a>00143 >,
<a name="l00144"></a>00144 std::complex<R> >::type <span class="keyword">inline</span> operator/ (std::complex<R> <span class="keyword">const</span>& in1, I in2) {
<a name="l00145"></a>00145 <span class="keywordflow">return</span> in1 / R (in2);
<a name="l00146"></a>00146 }
<a name="l00147"></a>00147
<a name="l00148"></a>00148
<a name="l00149"></a>00149
<a name="l00150"></a>00150 <span class="comment">// Type traits - generic numeric properties and functions</span>
<a name="l00151"></a>00151 <span class="keyword">template</span><<span class="keyword">class</span> T>
<a name="l00152"></a>00152 <span class="keyword">struct </span>type_traits;
<a name="l00153"></a>00153
<a name="l00154"></a>00154 <span class="comment">// Define properties for a generic scalar type</span>
<a name="l00155"></a>00155 <span class="keyword">template</span><<span class="keyword">class</span> T>
<a name="l00156"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__traits.html">00156</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__traits.html">scalar_traits</a> {
<a name="l00157"></a>00157 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__traits.html">scalar_traits<T></a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__traits.html">self_type</a>;
<a name="l00158"></a>00158 <span class="keyword">typedef</span> T value_type;
<a name="l00159"></a>00159 <span class="keyword">typedef</span> <span class="keyword">const</span> T &const_reference;
<a name="l00160"></a>00160 <span class="keyword">typedef</span> T &reference;
<a name="l00161"></a>00161
<a name="l00162"></a>00162 <span class="keyword">typedef</span> T real_type;
<a name="l00163"></a>00163 <span class="keyword">typedef</span> real_type precision_type; <span class="comment">// we do not know what type has more precision then the real_type</span>
<a name="l00164"></a>00164
<a name="l00165"></a>00165 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">unsigned</span> plus_complexity = 1;
<a name="l00166"></a>00166 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">unsigned</span> multiplies_complexity = 1;
<a name="l00167"></a>00167
<a name="l00168"></a>00168 <span class="keyword">static</span>
<a name="l00169"></a>00169 BOOST_UBLAS_INLINE
<a name="l00170"></a>00170 real_type real (const_reference t) {
<a name="l00171"></a>00171 <span class="keywordflow">return</span> t;
<a name="l00172"></a>00172 }
<a name="l00173"></a>00173 <span class="keyword">static</span>
<a name="l00174"></a>00174 BOOST_UBLAS_INLINE
<a name="l00175"></a>00175 real_type imag (const_reference <span class="comment">/*t*/</span>) {
<a name="l00176"></a>00176 <span class="keywordflow">return</span> 0;
<a name="l00177"></a>00177 }
<a name="l00178"></a>00178 <span class="keyword">static</span>
<a name="l00179"></a>00179 BOOST_UBLAS_INLINE
<a name="l00180"></a>00180 value_type conj (const_reference t) {
<a name="l00181"></a>00181 <span class="keywordflow">return</span> t;
<a name="l00182"></a>00182 }
<a name="l00183"></a>00183
<a name="l00184"></a>00184 <span class="keyword">static</span>
<a name="l00185"></a>00185 BOOST_UBLAS_INLINE
<a name="l00186"></a>00186 real_type type_abs (const_reference t) {
<a name="l00187"></a>00187 <span class="keywordflow">return</span> boost_numeric_ublas_abs (t);
<a name="l00188"></a>00188 }
<a name="l00189"></a>00189 <span class="keyword">static</span>
<a name="l00190"></a>00190 BOOST_UBLAS_INLINE
<a name="l00191"></a>00191 value_type type_sqrt (const_reference t) {
<a name="l00192"></a>00192 <span class="comment">// force a type conversion back to value_type for intgral types</span>
<a name="l00193"></a>00193 <span class="keywordflow">return</span> value_type (boost_numeric_ublas_sqrt (t));
<a name="l00194"></a>00194 }
<a name="l00195"></a>00195
<a name="l00196"></a>00196 <span class="keyword">static</span>
<a name="l00197"></a>00197 BOOST_UBLAS_INLINE
<a name="l00198"></a>00198 real_type norm_1 (const_reference t) {
<a name="l00199"></a>00199 <span class="keywordflow">return</span> self_type::type_abs (t);
<a name="l00200"></a>00200 }
<a name="l00201"></a>00201 <span class="keyword">static</span>
<a name="l00202"></a>00202 BOOST_UBLAS_INLINE
<a name="l00203"></a>00203 real_type norm_2 (const_reference t) {
<a name="l00204"></a>00204 <span class="keywordflow">return</span> self_type::type_abs (t);
<a name="l00205"></a>00205 }
<a name="l00206"></a>00206 <span class="keyword">static</span>
<a name="l00207"></a>00207 BOOST_UBLAS_INLINE
<a name="l00208"></a>00208 real_type norm_inf (const_reference t) {
<a name="l00209"></a>00209 <span class="keywordflow">return</span> self_type::type_abs (t);
<a name="l00210"></a>00210 }
<a name="l00211"></a>00211
<a name="l00212"></a>00212 <span class="keyword">static</span>
<a name="l00213"></a>00213 BOOST_UBLAS_INLINE
<a name="l00214"></a>00214 <span class="keywordtype">bool</span> equals (const_reference t1, const_reference t2) {
<a name="l00215"></a>00215 <span class="keywordflow">return</span> self_type::norm_inf (t1 - t2) < BOOST_UBLAS_TYPE_CHECK_EPSILON *
<a name="l00216"></a>00216 (std::max) ((std::max) (self_type::norm_inf (t1),
<a name="l00217"></a>00217 self_type::norm_inf (t2)),
<a name="l00218"></a>00218 BOOST_UBLAS_TYPE_CHECK_MIN);
<a name="l00219"></a>00219 }
<a name="l00220"></a>00220 };
<a name="l00221"></a>00221
<a name="l00222"></a>00222 <span class="comment">// Define default type traits, assume T is a scalar type</span>
<a name="l00223"></a>00223 <span class="keyword">template</span><<span class="keyword">class</span> T>
<a name="l00224"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">00224</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits</a> : <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__traits.html">scalar_traits</a> <T> {
<a name="l00225"></a>00225 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits<T></a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__traits.html">self_type</a>;
<a name="l00226"></a>00226 <span class="keyword">typedef</span> T value_type;
<a name="l00227"></a>00227 <span class="keyword">typedef</span> <span class="keyword">const</span> T &const_reference;
<a name="l00228"></a>00228 <span class="keyword">typedef</span> T &reference;
<a name="l00229"></a>00229
<a name="l00230"></a>00230 <span class="keyword">typedef</span> T real_type;
<a name="l00231"></a>00231 <span class="keyword">typedef</span> real_type precision_type;
<a name="l00232"></a>00232 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">unsigned</span> multiplies_complexity = 1;
<a name="l00233"></a>00233
<a name="l00234"></a>00234 };
<a name="l00235"></a>00235
<a name="l00236"></a>00236 <span class="comment">// Define real type traits</span>
<a name="l00237"></a>00237 <span class="keyword">template</span><>
<a name="l00238"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits_3_01float_01_4.html">00238</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits</a><float> : <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__traits.html">scalar_traits</a><float> {
<a name="l00239"></a>00239 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits_3_01float_01_4.html">type_traits<float></a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits_3_01float_01_4.html">self_type</a>;
<a name="l00240"></a>00240 <span class="keyword">typedef</span> <span class="keywordtype">float</span> value_type;
<a name="l00241"></a>00241 <span class="keyword">typedef</span> <span class="keyword">const</span> value_type &const_reference;
<a name="l00242"></a>00242 <span class="keyword">typedef</span> value_type &reference;
<a name="l00243"></a>00243 <span class="keyword">typedef</span> value_type real_type;
<a name="l00244"></a>00244 <span class="keyword">typedef</span> <span class="keywordtype">double</span> precision_type;
<a name="l00245"></a>00245 };
<a name="l00246"></a>00246 <span class="keyword">template</span><>
<a name="l00247"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits_3_01double_01_4.html">00247</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits</a><double> : <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__traits.html">scalar_traits</a><double> {
<a name="l00248"></a>00248 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits_3_01double_01_4.html">type_traits<double></a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits_3_01double_01_4.html">self_type</a>;
<a name="l00249"></a>00249 <span class="keyword">typedef</span> <span class="keywordtype">double</span> value_type;
<a name="l00250"></a>00250 <span class="keyword">typedef</span> <span class="keyword">const</span> value_type &const_reference;
<a name="l00251"></a>00251 <span class="keyword">typedef</span> value_type &reference;
<a name="l00252"></a>00252 <span class="keyword">typedef</span> value_type real_type;
<a name="l00253"></a>00253 <span class="keyword">typedef</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span> precision_type;
<a name="l00254"></a>00254 };
<a name="l00255"></a>00255 <span class="keyword">template</span><>
<a name="l00256"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits_3_01long_01double_01_4.html">00256</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits</a><long double> : <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__traits.html">scalar_traits</a><long double> {
<a name="l00257"></a>00257 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits_3_01long_01double_01_4.html">type_traits<long double></a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits_3_01long_01double_01_4.html">self_type</a>;
<a name="l00258"></a>00258 <span class="keyword">typedef</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span> value_type;
<a name="l00259"></a>00259 <span class="keyword">typedef</span> <span class="keyword">const</span> value_type &const_reference;
<a name="l00260"></a>00260 <span class="keyword">typedef</span> value_type &reference;
<a name="l00261"></a>00261 <span class="keyword">typedef</span> value_type real_type;
<a name="l00262"></a>00262 <span class="keyword">typedef</span> value_type precision_type;
<a name="l00263"></a>00263 };
<a name="l00264"></a>00264
<a name="l00265"></a>00265 <span class="comment">// Define properties for a generic complex type</span>
<a name="l00266"></a>00266 <span class="keyword">template</span><<span class="keyword">class</span> T>
<a name="l00267"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1complex__traits.html">00267</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1complex__traits.html">complex_traits</a> {
<a name="l00268"></a>00268 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1complex__traits.html">complex_traits<T></a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1complex__traits.html">self_type</a>;
<a name="l00269"></a>00269 <span class="keyword">typedef</span> T value_type;
<a name="l00270"></a>00270 <span class="keyword">typedef</span> <span class="keyword">const</span> T &const_reference;
<a name="l00271"></a>00271 <span class="keyword">typedef</span> T &reference;
<a name="l00272"></a>00272
<a name="l00273"></a>00273 <span class="keyword">typedef</span> <span class="keyword">typename</span> T::value_type real_type;
<a name="l00274"></a>00274 <span class="keyword">typedef</span> real_type precision_type; <span class="comment">// we do not know what type has more precision then the real_type</span>
<a name="l00275"></a>00275
<a name="l00276"></a>00276 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">unsigned</span> plus_complexity = 2;
<a name="l00277"></a>00277 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">unsigned</span> multiplies_complexity = 6;
<a name="l00278"></a>00278
<a name="l00279"></a>00279 <span class="keyword">static</span>
<a name="l00280"></a>00280 BOOST_UBLAS_INLINE
<a name="l00281"></a>00281 real_type real (const_reference t) {
<a name="l00282"></a>00282 <span class="keywordflow">return</span> std::real (t);
<a name="l00283"></a>00283 }
<a name="l00284"></a>00284 <span class="keyword">static</span>
<a name="l00285"></a>00285 BOOST_UBLAS_INLINE
<a name="l00286"></a>00286 real_type imag (const_reference t) {
<a name="l00287"></a>00287 <span class="keywordflow">return</span> std::imag (t);
<a name="l00288"></a>00288 }
<a name="l00289"></a>00289 <span class="keyword">static</span>
<a name="l00290"></a>00290 BOOST_UBLAS_INLINE
<a name="l00291"></a>00291 value_type conj (const_reference t) {
<a name="l00292"></a>00292 <span class="keywordflow">return</span> std::conj (t);
<a name="l00293"></a>00293 }
<a name="l00294"></a>00294
<a name="l00295"></a>00295 <span class="keyword">static</span>
<a name="l00296"></a>00296 BOOST_UBLAS_INLINE
<a name="l00297"></a>00297 real_type type_abs (const_reference t) {
<a name="l00298"></a>00298 <span class="keywordflow">return</span> abs (t);
<a name="l00299"></a>00299 }
<a name="l00300"></a>00300 <span class="keyword">static</span>
<a name="l00301"></a>00301 BOOST_UBLAS_INLINE
<a name="l00302"></a>00302 value_type type_sqrt (const_reference t) {
<a name="l00303"></a>00303 <span class="keywordflow">return</span> sqrt (t);
<a name="l00304"></a>00304 }
<a name="l00305"></a>00305
<a name="l00306"></a>00306 <span class="keyword">static</span>
<a name="l00307"></a>00307 BOOST_UBLAS_INLINE
<a name="l00308"></a>00308 real_type norm_1 (const_reference t) {
<a name="l00309"></a>00309 <span class="keywordflow">return</span> self_type::type_abs (t);
<a name="l00310"></a>00310 <span class="comment">// original computation has been replaced because a complex number should behave like a scalar type</span>
<a name="l00311"></a>00311 <span class="comment">// return type_traits<real_type>::type_abs (self_type::real (t)) +</span>
<a name="l00312"></a>00312 <span class="comment">// type_traits<real_type>::type_abs (self_type::imag (t));</span>
<a name="l00313"></a>00313 }
<a name="l00314"></a>00314 <span class="keyword">static</span>
<a name="l00315"></a>00315 BOOST_UBLAS_INLINE
<a name="l00316"></a>00316 real_type norm_2 (const_reference t) {
<a name="l00317"></a>00317 <span class="keywordflow">return</span> self_type::type_abs (t);
<a name="l00318"></a>00318 }
<a name="l00319"></a>00319 <span class="keyword">static</span>
<a name="l00320"></a>00320 BOOST_UBLAS_INLINE
<a name="l00321"></a>00321 real_type norm_inf (const_reference t) {
<a name="l00322"></a>00322 <span class="keywordflow">return</span> self_type::type_abs (t);
<a name="l00323"></a>00323 <span class="comment">// original computation has been replaced because a complex number should behave like a scalar type</span>
<a name="l00324"></a>00324 <span class="comment">// return (std::max) (type_traits<real_type>::type_abs (self_type::real (t)),</span>
<a name="l00325"></a>00325 <span class="comment">// type_traits<real_type>::type_abs (self_type::imag (t)));</span>
<a name="l00326"></a>00326 }
<a name="l00327"></a>00327
<a name="l00328"></a>00328 <span class="keyword">static</span>
<a name="l00329"></a>00329 BOOST_UBLAS_INLINE
<a name="l00330"></a>00330 <span class="keywordtype">bool</span> equals (const_reference t1, const_reference t2) {
<a name="l00331"></a>00331 <span class="keywordflow">return</span> self_type::norm_inf (t1 - t2) < BOOST_UBLAS_TYPE_CHECK_EPSILON *
<a name="l00332"></a>00332 (std::max) ((std::max) (self_type::norm_inf (t1),
<a name="l00333"></a>00333 self_type::norm_inf (t2)),
<a name="l00334"></a>00334 BOOST_UBLAS_TYPE_CHECK_MIN);
<a name="l00335"></a>00335 }
<a name="l00336"></a>00336 };
<a name="l00337"></a>00337
<a name="l00338"></a>00338 <span class="comment">// Define complex type traits</span>
<a name="l00339"></a>00339 <span class="keyword">template</span><>
<a name="l00340"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits_3_01std_1_1complex_3_01float_01_4_01_4.html">00340</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits</a><std::complex<float> > : <a class="code" href="structboost_1_1numeric_1_1ublas_1_1complex__traits.html">complex_traits</a><std::complex<float> >{
<a name="l00341"></a>00341 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits<std::complex<float></a> > <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits_3_01std_1_1complex_3_01float_01_4_01_4.html">self_type</a>;
<a name="l00342"></a>00342 <span class="keyword">typedef</span> std::complex<float> value_type;
<a name="l00343"></a>00343 <span class="keyword">typedef</span> <span class="keyword">const</span> value_type &const_reference;
<a name="l00344"></a>00344 <span class="keyword">typedef</span> value_type &reference;
<a name="l00345"></a>00345 <span class="keyword">typedef</span> <span class="keywordtype">float</span> real_type;
<a name="l00346"></a>00346 <span class="keyword">typedef</span> std::complex<double> precision_type;
<a name="l00347"></a>00347
<a name="l00348"></a>00348 };
<a name="l00349"></a>00349 <span class="keyword">template</span><>
<a name="l00350"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits_3_01std_1_1complex_3_01double_01_4_01_4.html">00350</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits</a><std::complex<double> > : <a class="code" href="structboost_1_1numeric_1_1ublas_1_1complex__traits.html">complex_traits</a><std::complex<double> >{
<a name="l00351"></a>00351 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits<std::complex<double></a> > <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits_3_01std_1_1complex_3_01double_01_4_01_4.html">self_type</a>;
<a name="l00352"></a>00352 <span class="keyword">typedef</span> std::complex<double> value_type;
<a name="l00353"></a>00353 <span class="keyword">typedef</span> <span class="keyword">const</span> value_type &const_reference;
<a name="l00354"></a>00354 <span class="keyword">typedef</span> value_type &reference;
<a name="l00355"></a>00355 <span class="keyword">typedef</span> <span class="keywordtype">double</span> real_type;
<a name="l00356"></a>00356 <span class="keyword">typedef</span> std::complex<long double> precision_type;
<a name="l00357"></a>00357 };
<a name="l00358"></a>00358 <span class="keyword">template</span><>
<a name="l00359"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits_3_01std_1_1complex_3_01long_01double_01_4_01_4.html">00359</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits</a><std::complex<long double> > : <a class="code" href="structboost_1_1numeric_1_1ublas_1_1complex__traits.html">complex_traits</a><std::complex<long double> > {
<a name="l00360"></a>00360 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits<std::complex<long double></a> > <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits_3_01std_1_1complex_3_01long_01double_01_4_01_4.html">self_type</a>;
<a name="l00361"></a>00361 <span class="keyword">typedef</span> std::complex<long double> value_type;
<a name="l00362"></a>00362 <span class="keyword">typedef</span> <span class="keyword">const</span> value_type &const_reference;
<a name="l00363"></a>00363 <span class="keyword">typedef</span> value_type &reference;
<a name="l00364"></a>00364 <span class="keyword">typedef</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span> real_type;
<a name="l00365"></a>00365 <span class="keyword">typedef</span> value_type precision_type;
<a name="l00366"></a>00366 };
<a name="l00367"></a>00367
<a name="l00368"></a>00368 <span class="preprocessor">#ifdef BOOST_UBLAS_USE_INTERVAL</span>
<a name="l00369"></a>00369 <span class="preprocessor"></span> <span class="comment">// Define scalar interval type traits</span>
<a name="l00370"></a>00370 <span class="keyword">template</span><>
<a name="l00371"></a>00371 <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits</a><boost::numeric::interval<float> > : <a class="code" href="structboost_1_1numeric_1_1ublas_1_1scalar__traits.html">scalar_traits</a><boost::numeric::interval<float> > {
<a name="l00372"></a>00372 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1type__traits.html">type_traits<boost::numeric::interval<float></a> > self_type;
<a name="l00373"></a>00373 <span class="keyword">typedef</span> boost::numeric::interval<float> value_type;
<a name="l00374"></a>00374 <span class="keyword">typedef</span> <span class="keyword">const</span> value_type &const_reference;
<a name="l00375"></a>00375 <span class="keyword">typedef</span> value_type &reference;
<a name="l00376"></a>00376 <span class="keyword">typedef</span> value_type real_type;
<a name="l00377"></a>00377 <span class="keyword">typedef</span> boost::numeric::interval<double> precision_type;
<a name="l00378"></a>00378
<a name="l00379"></a>00379 };
<a name="l00380"></a>00380 <span class="keyword">template</span><>
<a name="l00381"></a>00381 <span class="keyword">struct </span>type_traits<boost::numeric::interval<double> > : scalar_traits<boost::numeric::interval<double> > {
<a name="l00382"></a>00382 <span class="keyword">typedef</span> type_traits<boost::numeric::interval<double> > self_type;
<a name="l00383"></a>00383 <span class="keyword">typedef</span> boost::numeric::interval<double> value_type;
<a name="l00384"></a>00384 <span class="keyword">typedef</span> <span class="keyword">const</span> value_type &const_reference;
<a name="l00385"></a>00385 <span class="keyword">typedef</span> value_type &reference;
<a name="l00386"></a>00386 <span class="keyword">typedef</span> value_type real_type;
<a name="l00387"></a>00387 <span class="keyword">typedef</span> boost::numeric::interval<long double> precision_type;
<a name="l00388"></a>00388 };
<a name="l00389"></a>00389 <span class="keyword">template</span><>
<a name="l00390"></a>00390 <span class="keyword">struct </span>type_traits<boost::numeric::interval<long double> > : scalar_traits<boost::numeric::interval<long double> > {
<a name="l00391"></a>00391 <span class="keyword">typedef</span> type_traits<boost::numeric::interval<long double> > self_type;
<a name="l00392"></a>00392 <span class="keyword">typedef</span> boost::numeric::interval<long double> value_type;
<a name="l00393"></a>00393 <span class="keyword">typedef</span> <span class="keyword">const</span> value_type &const_reference;
<a name="l00394"></a>00394 <span class="keyword">typedef</span> value_type &reference;
<a name="l00395"></a>00395 <span class="keyword">typedef</span> value_type real_type;
<a name="l00396"></a>00396 <span class="keyword">typedef</span> value_type precision_type;
<a name="l00397"></a>00397 };
<a name="l00398"></a>00398 <span class="preprocessor">#endif</span>
<a name="l00399"></a>00399 <span class="preprocessor"></span>
<a name="l00400"></a>00400
<a name="l00401"></a>00401 <span class="comment">// Storage tags -- hierarchical definition of storage characteristics</span>
<a name="l00402"></a>00402
<a name="l00403"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1unknown__storage__tag.html">00403</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1unknown__storage__tag.html">unknown_storage_tag</a> {};
<a name="l00404"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__proxy__tag.html">00404</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__proxy__tag.html">sparse_proxy_tag</a>: <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1unknown__storage__tag.html">unknown_storage_tag</a> {};
<a name="l00405"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__tag.html">00405</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__tag.html">sparse_tag</a>: <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__proxy__tag.html">sparse_proxy_tag</a> {};
<a name="l00406"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__proxy__tag.html">00406</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__proxy__tag.html">packed_proxy_tag</a>: <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__proxy__tag.html">sparse_proxy_tag</a> {};
<a name="l00407"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__tag.html">00407</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__tag.html">packed_tag</a>: <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__proxy__tag.html">packed_proxy_tag</a> {};
<a name="l00408"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1dense__proxy__tag.html">00408</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1dense__proxy__tag.html">dense_proxy_tag</a>: <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__proxy__tag.html">packed_proxy_tag</a> {};
<a name="l00409"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1dense__tag.html">00409</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1dense__tag.html">dense_tag</a>: <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1dense__proxy__tag.html">dense_proxy_tag</a> {};
<a name="l00410"></a>00410
<a name="l00411"></a>00411 <span class="keyword">template</span><<span class="keyword">class</span> S1, <span class="keyword">class</span> S2>
<a name="l00412"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1storage__restrict__traits.html">00412</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1storage__restrict__traits.html">storage_restrict_traits</a> {
<a name="l00413"></a>00413 <span class="keyword">typedef</span> S1 storage_category;
<a name="l00414"></a>00414 };
<a name="l00415"></a>00415
<a name="l00416"></a>00416 <span class="keyword">template</span><>
<a name="l00417"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1storage__restrict__traits_3_01sparse__tag_00_01dense__proxy__tag_01_4.html">00417</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1storage__restrict__traits.html">storage_restrict_traits</a><<a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__tag.html">sparse_tag</a>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1dense__proxy__tag.html">dense_proxy_tag</a>> {
<a name="l00418"></a>00418 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__proxy__tag.html">sparse_proxy_tag</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__proxy__tag.html">storage_category</a>;
<a name="l00419"></a>00419 };
<a name="l00420"></a>00420 <span class="keyword">template</span><>
<a name="l00421"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1storage__restrict__traits_3_01sparse__tag_00_01packed__proxy__tag_01_4.html">00421</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1storage__restrict__traits.html">storage_restrict_traits</a><<a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__tag.html">sparse_tag</a>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__proxy__tag.html">packed_proxy_tag</a>> {
<a name="l00422"></a>00422 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__proxy__tag.html">sparse_proxy_tag</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__proxy__tag.html">storage_category</a>;
<a name="l00423"></a>00423 };
<a name="l00424"></a>00424 <span class="keyword">template</span><>
<a name="l00425"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1storage__restrict__traits_3_01sparse__tag_00_01sparse__proxy__tag_01_4.html">00425</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1storage__restrict__traits.html">storage_restrict_traits</a><<a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__tag.html">sparse_tag</a>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__proxy__tag.html">sparse_proxy_tag</a>> {
<a name="l00426"></a>00426 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__proxy__tag.html">sparse_proxy_tag</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__proxy__tag.html">storage_category</a>;
<a name="l00427"></a>00427 };
<a name="l00428"></a>00428
<a name="l00429"></a>00429 <span class="keyword">template</span><>
<a name="l00430"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1storage__restrict__traits_3_01packed__tag_00_01dense__proxy__tag_01_4.html">00430</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1storage__restrict__traits.html">storage_restrict_traits</a><<a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__tag.html">packed_tag</a>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1dense__proxy__tag.html">dense_proxy_tag</a>> {
<a name="l00431"></a>00431 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__proxy__tag.html">packed_proxy_tag</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__proxy__tag.html">storage_category</a>;
<a name="l00432"></a>00432 };
<a name="l00433"></a>00433 <span class="keyword">template</span><>
<a name="l00434"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1storage__restrict__traits_3_01packed__tag_00_01packed__proxy__tag_01_4.html">00434</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1storage__restrict__traits.html">storage_restrict_traits</a><<a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__tag.html">packed_tag</a>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__proxy__tag.html">packed_proxy_tag</a>> {
<a name="l00435"></a>00435 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__proxy__tag.html">packed_proxy_tag</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__proxy__tag.html">storage_category</a>;
<a name="l00436"></a>00436 };
<a name="l00437"></a>00437 <span class="keyword">template</span><>
<a name="l00438"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1storage__restrict__traits_3_01packed__tag_00_01sparse__proxy__tag_01_4.html">00438</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1storage__restrict__traits.html">storage_restrict_traits</a><<a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__tag.html">packed_tag</a>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__proxy__tag.html">sparse_proxy_tag</a>> {
<a name="l00439"></a>00439 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__proxy__tag.html">sparse_proxy_tag</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__proxy__tag.html">storage_category</a>;
<a name="l00440"></a>00440 };
<a name="l00441"></a>00441
<a name="l00442"></a>00442 <span class="keyword">template</span><>
<a name="l00443"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1storage__restrict__traits_3_01packed__proxy__tag_00_01sparse__proxy__tag_01_4.html">00443</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1storage__restrict__traits.html">storage_restrict_traits</a><<a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__proxy__tag.html">packed_proxy_tag</a>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__proxy__tag.html">sparse_proxy_tag</a>> {
<a name="l00444"></a>00444 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__proxy__tag.html">sparse_proxy_tag</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__proxy__tag.html">storage_category</a>;
<a name="l00445"></a>00445 };
<a name="l00446"></a>00446
<a name="l00447"></a>00447 <span class="keyword">template</span><>
<a name="l00448"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1storage__restrict__traits_3_01dense__tag_00_01dense__proxy__tag_01_4.html">00448</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1storage__restrict__traits.html">storage_restrict_traits</a><<a class="code" href="structboost_1_1numeric_1_1ublas_1_1dense__tag.html">dense_tag</a>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1dense__proxy__tag.html">dense_proxy_tag</a>> {
<a name="l00449"></a>00449 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1dense__proxy__tag.html">dense_proxy_tag</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1dense__proxy__tag.html">storage_category</a>;
<a name="l00450"></a>00450 };
<a name="l00451"></a>00451 <span class="keyword">template</span><>
<a name="l00452"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1storage__restrict__traits_3_01dense__tag_00_01packed__proxy__tag_01_4.html">00452</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1storage__restrict__traits.html">storage_restrict_traits</a><<a class="code" href="structboost_1_1numeric_1_1ublas_1_1dense__tag.html">dense_tag</a>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__proxy__tag.html">packed_proxy_tag</a>> {
<a name="l00453"></a>00453 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__proxy__tag.html">packed_proxy_tag</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__proxy__tag.html">storage_category</a>;
<a name="l00454"></a>00454 };
<a name="l00455"></a>00455 <span class="keyword">template</span><>
<a name="l00456"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1storage__restrict__traits_3_01dense__tag_00_01sparse__proxy__tag_01_4.html">00456</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1storage__restrict__traits.html">storage_restrict_traits</a><<a class="code" href="structboost_1_1numeric_1_1ublas_1_1dense__tag.html">dense_tag</a>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__proxy__tag.html">sparse_proxy_tag</a>> {
<a name="l00457"></a>00457 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__proxy__tag.html">sparse_proxy_tag</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__proxy__tag.html">storage_category</a>;
<a name="l00458"></a>00458 };
<a name="l00459"></a>00459
<a name="l00460"></a>00460 <span class="keyword">template</span><>
<a name="l00461"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1storage__restrict__traits_3_01dense__proxy__tag_00_01packed__proxy__tag_01_4.html">00461</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1storage__restrict__traits.html">storage_restrict_traits</a><<a class="code" href="structboost_1_1numeric_1_1ublas_1_1dense__proxy__tag.html">dense_proxy_tag</a>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__proxy__tag.html">packed_proxy_tag</a>> {
<a name="l00462"></a>00462 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__proxy__tag.html">packed_proxy_tag</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__proxy__tag.html">storage_category</a>;
<a name="l00463"></a>00463 };
<a name="l00464"></a>00464 <span class="keyword">template</span><>
<a name="l00465"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1storage__restrict__traits_3_01dense__proxy__tag_00_01sparse__proxy__tag_01_4.html">00465</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1storage__restrict__traits.html">storage_restrict_traits</a><<a class="code" href="structboost_1_1numeric_1_1ublas_1_1dense__proxy__tag.html">dense_proxy_tag</a>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__proxy__tag.html">sparse_proxy_tag</a>> {
<a name="l00466"></a>00466 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__proxy__tag.html">sparse_proxy_tag</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__proxy__tag.html">storage_category</a>;
<a name="l00467"></a>00467 };
<a name="l00468"></a>00468
<a name="l00469"></a>00469
<a name="l00470"></a>00470 <span class="comment">// Iterator tags -- hierarchical definition of storage characteristics</span>
<a name="l00471"></a>00471
<a name="l00472"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">00472</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">sparse_bidirectional_iterator_tag</a> : <span class="keyword">public</span> std::bidirectional_iterator_tag {};
<a name="l00473"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__random__access__iterator__tag.html">00473</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__random__access__iterator__tag.html">packed_random_access_iterator_tag</a> : <span class="keyword">public</span> std::random_access_iterator_tag {};
<a name="l00474"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1dense__random__access__iterator__tag.html">00474</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1dense__random__access__iterator__tag.html">dense_random_access_iterator_tag</a> : <span class="keyword">public</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__random__access__iterator__tag.html">packed_random_access_iterator_tag</a> {};
<a name="l00475"></a>00475
<a name="l00476"></a>00476 <span class="comment">// Thanks to Kresimir Fresl for convincing Comeau with iterator_base_traits ;-)</span>
<a name="l00477"></a>00477 <span class="keyword">template</span><<span class="keyword">class</span> IC>
<a name="l00478"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__base__traits.html">00478</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__base__traits.html">iterator_base_traits</a> {};
<a name="l00479"></a>00479
<a name="l00480"></a>00480 <span class="keyword">template</span><>
<a name="l00481"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__base__traits_3_01std_1_1forward__iterator__tag_01_4.html">00481</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__base__traits.html">iterator_base_traits</a><std::forward_iterator_tag> {
<a name="l00482"></a>00482 <span class="keyword">template</span><<span class="keyword">class</span> I, <span class="keyword">class</span> T>
<a name="l00483"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__base__traits_3_01std_1_1forward__iterator__tag_01_4_1_1iterator__base.html">00483</a> <span class="keyword">struct </span>iterator_base {
<a name="l00484"></a>00484 <span class="keyword">typedef</span> forward_iterator_base<std::forward_iterator_tag, I, T> type;
<a name="l00485"></a>00485 };
<a name="l00486"></a>00486 };
<a name="l00487"></a>00487
<a name="l00488"></a>00488 <span class="keyword">template</span><>
<a name="l00489"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__base__traits_3_01std_1_1bidirectional__iterator__tag_01_4.html">00489</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__base__traits.html">iterator_base_traits</a><std::bidirectional_iterator_tag> {
<a name="l00490"></a>00490 <span class="keyword">template</span><<span class="keyword">class</span> I, <span class="keyword">class</span> T>
<a name="l00491"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__base__traits_3_01std_1_1bidirectional__iterator__tag_01_4_1_1iterator__base.html">00491</a> <span class="keyword">struct </span>iterator_base {
<a name="l00492"></a>00492 <span class="keyword">typedef</span> bidirectional_iterator_base<std::bidirectional_iterator_tag, I, T> type;
<a name="l00493"></a>00493 };
<a name="l00494"></a>00494 };
<a name="l00495"></a>00495 <span class="keyword">template</span><>
<a name="l00496"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__base__traits_3_01sparse__bidirectional__iterator__tag_01_4.html">00496</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__base__traits.html">iterator_base_traits</a><<a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">sparse_bidirectional_iterator_tag</a>> {
<a name="l00497"></a>00497 <span class="keyword">template</span><<span class="keyword">class</span> I, <span class="keyword">class</span> T>
<a name="l00498"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__base__traits_3_01sparse__bidirectional__iterator__tag_01_4_1_1iterator__base.html">00498</a> <span class="keyword">struct </span>iterator_base {
<a name="l00499"></a>00499 <span class="keyword">typedef</span> bidirectional_iterator_base<sparse_bidirectional_iterator_tag, I, T> type;
<a name="l00500"></a>00500 };
<a name="l00501"></a>00501 };
<a name="l00502"></a>00502
<a name="l00503"></a>00503 <span class="keyword">template</span><>
<a name="l00504"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__base__traits_3_01std_1_1random__access__iterator__tag_01_4.html">00504</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__base__traits.html">iterator_base_traits</a><std::random_access_iterator_tag> {
<a name="l00505"></a>00505 <span class="keyword">template</span><<span class="keyword">class</span> I, <span class="keyword">class</span> T>
<a name="l00506"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__base__traits_3_01std_1_1random__access__iterator__tag_01_4_1_1iterator__base.html">00506</a> <span class="keyword">struct </span>iterator_base {
<a name="l00507"></a>00507 <span class="keyword">typedef</span> random_access_iterator_base<std::random_access_iterator_tag, I, T> type;
<a name="l00508"></a>00508 };
<a name="l00509"></a>00509 };
<a name="l00510"></a>00510 <span class="keyword">template</span><>
<a name="l00511"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__base__traits_3_01packed__random__access__iterator__tag_01_4.html">00511</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__base__traits.html">iterator_base_traits</a><<a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__random__access__iterator__tag.html">packed_random_access_iterator_tag</a>> {
<a name="l00512"></a>00512 <span class="keyword">template</span><<span class="keyword">class</span> I, <span class="keyword">class</span> T>
<a name="l00513"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__base__traits_3_01packed__random__access__iterator__tag_01_4_1_1iterator__base.html">00513</a> <span class="keyword">struct </span>iterator_base {
<a name="l00514"></a>00514 <span class="keyword">typedef</span> random_access_iterator_base<packed_random_access_iterator_tag, I, T> type;
<a name="l00515"></a>00515 };
<a name="l00516"></a>00516 };
<a name="l00517"></a>00517 <span class="keyword">template</span><>
<a name="l00518"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__base__traits_3_01dense__random__access__iterator__tag_01_4.html">00518</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__base__traits.html">iterator_base_traits</a><<a class="code" href="structboost_1_1numeric_1_1ublas_1_1dense__random__access__iterator__tag.html">dense_random_access_iterator_tag</a>> {
<a name="l00519"></a>00519 <span class="keyword">template</span><<span class="keyword">class</span> I, <span class="keyword">class</span> T>
<a name="l00520"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__base__traits_3_01dense__random__access__iterator__tag_01_4_1_1iterator__base.html">00520</a> <span class="keyword">struct </span>iterator_base {
<a name="l00521"></a>00521 <span class="keyword">typedef</span> random_access_iterator_base<dense_random_access_iterator_tag, I, T> type;
<a name="l00522"></a>00522 };
<a name="l00523"></a>00523 };
<a name="l00524"></a>00524
<a name="l00525"></a>00525 <span class="keyword">template</span><<span class="keyword">class</span> I1, <span class="keyword">class</span> I2>
<a name="l00526"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__restrict__traits.html">00526</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__restrict__traits.html">iterator_restrict_traits</a> {
<a name="l00527"></a>00527 <span class="keyword">typedef</span> I1 iterator_category;
<a name="l00528"></a>00528 };
<a name="l00529"></a>00529
<a name="l00530"></a>00530 <span class="keyword">template</span><>
<a name="l00531"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__restrict__traits_3_01packed__random__access__iteratb562f8de34ea5fb27fcb98884ee3d67a.html">00531</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__restrict__traits.html">iterator_restrict_traits</a><<a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__random__access__iterator__tag.html">packed_random_access_iterator_tag</a>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">sparse_bidirectional_iterator_tag</a>> {
<a name="l00532"></a>00532 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">sparse_bidirectional_iterator_tag</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">iterator_category</a>;
<a name="l00533"></a>00533 };
<a name="l00534"></a>00534 <span class="keyword">template</span><>
<a name="l00535"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__restrict__traits_3_01sparse__bidirectional__iterato23c588affc152003be288f42e0dc2744.html">00535</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__restrict__traits.html">iterator_restrict_traits</a><<a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">sparse_bidirectional_iterator_tag</a>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__random__access__iterator__tag.html">packed_random_access_iterator_tag</a>> {
<a name="l00536"></a>00536 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">sparse_bidirectional_iterator_tag</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">iterator_category</a>;
<a name="l00537"></a>00537 };
<a name="l00538"></a>00538
<a name="l00539"></a>00539 <span class="keyword">template</span><>
<a name="l00540"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__restrict__traits_3_01dense__random__access__iteratodc161542be457382732ec49a83757970.html">00540</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__restrict__traits.html">iterator_restrict_traits</a><<a class="code" href="structboost_1_1numeric_1_1ublas_1_1dense__random__access__iterator__tag.html">dense_random_access_iterator_tag</a>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">sparse_bidirectional_iterator_tag</a>> {
<a name="l00541"></a>00541 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">sparse_bidirectional_iterator_tag</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">iterator_category</a>;
<a name="l00542"></a>00542 };
<a name="l00543"></a>00543 <span class="keyword">template</span><>
<a name="l00544"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__restrict__traits_3_01sparse__bidirectional__iterato1e94698c6544162be6a31166833585d0.html">00544</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__restrict__traits.html">iterator_restrict_traits</a><<a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">sparse_bidirectional_iterator_tag</a>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1dense__random__access__iterator__tag.html">dense_random_access_iterator_tag</a>> {
<a name="l00545"></a>00545 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">sparse_bidirectional_iterator_tag</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1sparse__bidirectional__iterator__tag.html">iterator_category</a>;
<a name="l00546"></a>00546 };
<a name="l00547"></a>00547
<a name="l00548"></a>00548 <span class="keyword">template</span><>
<a name="l00549"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__restrict__traits_3_01dense__random__access__iteratod4c6edf0df751ebff1b8ea6b9d08eae7.html">00549</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__restrict__traits.html">iterator_restrict_traits</a><<a class="code" href="structboost_1_1numeric_1_1ublas_1_1dense__random__access__iterator__tag.html">dense_random_access_iterator_tag</a>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__random__access__iterator__tag.html">packed_random_access_iterator_tag</a>> {
<a name="l00550"></a>00550 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__random__access__iterator__tag.html">packed_random_access_iterator_tag</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__random__access__iterator__tag.html">iterator_category</a>;
<a name="l00551"></a>00551 };
<a name="l00552"></a>00552 <span class="keyword">template</span><>
<a name="l00553"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__restrict__traits_3_01packed__random__access__iterat170beb8dc7452d2a089622087df3fb79.html">00553</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1iterator__restrict__traits.html">iterator_restrict_traits</a><<a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__random__access__iterator__tag.html">packed_random_access_iterator_tag</a>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1dense__random__access__iterator__tag.html">dense_random_access_iterator_tag</a>> {
<a name="l00554"></a>00554 <span class="keyword">typedef</span> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__random__access__iterator__tag.html">packed_random_access_iterator_tag</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__random__access__iterator__tag.html">iterator_category</a>;
<a name="l00555"></a>00555 };
<a name="l00556"></a>00556
<a name="l00557"></a>00557 <span class="keyword">template</span><<span class="keyword">class</span> I>
<a name="l00558"></a>00558 BOOST_UBLAS_INLINE
<a name="l00559"></a>00559 <span class="keywordtype">void</span> increment (I &it, <span class="keyword">const</span> I &it_end, <span class="keyword">typename</span> I::difference_type compare, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1packed__random__access__iterator__tag.html">packed_random_access_iterator_tag</a>) {
<a name="l00560"></a>00560 it += (std::min) (compare, it_end - it);
<a name="l00561"></a>00561 }
<a name="l00562"></a>00562 <span class="keyword">template</span><<span class="keyword">class</span> I>
<a name="l00563"></a>00563 BOOST_UBLAS_INLINE
<a name="l00564"></a>00564 <span class="keywordtype">void</span> increment (I &it, <span class="keyword">const</span> I &<span class="comment">/* it_end */</span>, <span class="keyword">typename</span> I::difference_type <span class="comment">/* compare */</span>, sparse_bidirectional_iterator_tag) {
<a name="l00565"></a>00565 ++ it;
<a name="l00566"></a>00566 }
<a name="l00567"></a>00567 <span class="keyword">template</span><<span class="keyword">class</span> I>
<a name="l00568"></a>00568 BOOST_UBLAS_INLINE
<a name="l00569"></a>00569 <span class="keywordtype">void</span> increment (I &it, <span class="keyword">const</span> I &it_end, <span class="keyword">typename</span> I::difference_type compare) {
<a name="l00570"></a>00570 increment (it, it_end, compare, <span class="keyword">typename</span> I::iterator_category ());
<a name="l00571"></a>00571 }
<a name="l00572"></a>00572
<a name="l00573"></a>00573 <span class="keyword">template</span><<span class="keyword">class</span> I>
<a name="l00574"></a>00574 BOOST_UBLAS_INLINE
<a name="l00575"></a>00575 <span class="keywordtype">void</span> increment (I &it, <span class="keyword">const</span> I &it_end) {
<a name="l00576"></a>00576 <span class="preprocessor">#if BOOST_UBLAS_TYPE_CHECK</span>
<a name="l00577"></a>00577 <span class="preprocessor"></span> I cit (it);
<a name="l00578"></a>00578 <span class="keywordflow">while</span> (cit != it_end) {
<a name="l00579"></a>00579 BOOST_UBLAS_CHECK (*cit == <span class="keyword">typename</span> I::value_type<span class="comment">/*zero*/</span>(), internal_logic ());
<a name="l00580"></a>00580 ++ cit;
<a name="l00581"></a>00581 }
<a name="l00582"></a>00582 <span class="preprocessor">#endif</span>
<a name="l00583"></a>00583 <span class="preprocessor"></span> it = it_end;
<a name="l00584"></a>00584 }
<a name="l00585"></a>00585
<a name="l00586"></a>00586 <span class="keyword">namespace </span>detail {
<a name="l00587"></a>00587
<a name="l00588"></a>00588 <span class="comment">// specialisation which define whether a type has a trivial constructor</span>
<a name="l00589"></a>00589 <span class="comment">// or not. This is used by array types.</span>
<a name="l00590"></a>00590 <span class="keyword">template</span><<span class="keyword">typename</span> T>
<a name="l00591"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1detail_1_1has__trivial__constructor.html">00591</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1detail_1_1has__trivial__constructor.html">has_trivial_constructor</a> : <span class="keyword">public</span> boost::<a class="code" href="structboost_1_1numeric_1_1ublas_1_1detail_1_1has__trivial__constructor.html">has_trivial_constructor</a><T> {};
<a name="l00592"></a>00592
<a name="l00593"></a>00593 <span class="keyword">template</span><<span class="keyword">typename</span> T>
<a name="l00594"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1detail_1_1has__trivial__destructor.html">00594</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1detail_1_1has__trivial__destructor.html">has_trivial_destructor</a> : <span class="keyword">public</span> boost::<a class="code" href="structboost_1_1numeric_1_1ublas_1_1detail_1_1has__trivial__destructor.html">has_trivial_destructor</a><T> {};
<a name="l00595"></a>00595
<a name="l00596"></a>00596 <span class="keyword">template</span><<span class="keyword">typename</span> FLT>
<a name="l00597"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1detail_1_1has__trivial__constructor_3_01std_1_1complex_3_01_f_l_t_01_4_01_4.html">00597</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1detail_1_1has__trivial__constructor.html">has_trivial_constructor</a><std::complex<FLT> > : <span class="keyword">public</span> boost::true_type {};
<a name="l00598"></a>00598
<a name="l00599"></a>00599 <span class="keyword">template</span><<span class="keyword">typename</span> FLT>
<a name="l00600"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1detail_1_1has__trivial__destructor_3_01std_1_1complex_3_01_f_l_t_01_4_01_4.html">00600</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1detail_1_1has__trivial__destructor.html">has_trivial_destructor</a><std::complex<FLT> > : <span class="keyword">public</span> boost::true_type {};
<a name="l00601"></a>00601
<a name="l00602"></a>00602 }
<a name="l00603"></a>00603
<a name="l00604"></a>00604
<a name="l00608"></a>00608 <span class="keyword">template</span> < <span class="keyword">class</span> E >
<a name="l00609"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1container__view__traits.html">00609</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1container__view__traits.html" title="Traits class to extract type information from a constant matrix or vector CONTAINER...">container_view_traits</a> {
<a name="l00611"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1container__view__traits.html#af5064cd16c56c216204b48edaadc7ee7">00611</a> <span class="keyword">typedef</span> <span class="keyword">typename</span> E::size_type <a class="code" href="structboost_1_1numeric_1_1ublas_1_1container__view__traits.html#af5064cd16c56c216204b48edaadc7ee7" title="type of indices">size_type</a>;
<a name="l00613"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1container__view__traits.html#accf58d00f9fc9bb71cefe5dbc692d7ba">00613</a> <span class="keyword">typedef</span> <span class="keyword">typename</span> E::difference_type <a class="code" href="structboost_1_1numeric_1_1ublas_1_1container__view__traits.html#accf58d00f9fc9bb71cefe5dbc692d7ba" title="type of differences of indices">difference_type</a>;
<a name="l00614"></a>00614
<a name="l00616"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1container__view__traits.html#a091a1cb2814b6b67b478ac3922132df5">00616</a> <span class="keyword">typedef</span> <span class="keyword">typename</span> E::storage_category <a class="code" href="structboost_1_1numeric_1_1ublas_1_1container__view__traits.html#a091a1cb2814b6b67b478ac3922132df5" title="storage category: unknown_storage_tag, dense_tag, packed_tag, ...">storage_category</a>;
<a name="l00617"></a>00617
<a name="l00619"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1container__view__traits.html#a4ea7126fbacb0e0932fde071006121a2">00619</a> <span class="keyword">typedef</span> <span class="keyword">typename</span> E::value_type <a class="code" href="structboost_1_1numeric_1_1ublas_1_1container__view__traits.html#a4ea7126fbacb0e0932fde071006121a2" title="type of elements">value_type</a>;
<a name="l00621"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1container__view__traits.html#a898606cf70edd48e415188597be35bf8">00621</a> <span class="keyword">typedef</span> <span class="keyword">typename</span> E::const_reference <a class="code" href="structboost_1_1numeric_1_1ublas_1_1container__view__traits.html#a898606cf70edd48e415188597be35bf8" title="const reference to an element">const_reference</a>;
<a name="l00622"></a>00622
<a name="l00624"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1container__view__traits.html#a3e70e3fc95efe22c75e46254540fe102">00624</a> <span class="keyword">typedef</span> <span class="keyword">typename</span> E::const_closure_type <a class="code" href="structboost_1_1numeric_1_1ublas_1_1container__view__traits.html#a3e70e3fc95efe22c75e46254540fe102" title="type used in expressions to mark a reference to this class (usually a const container_reference&lt;c...">const_closure_type</a>;
<a name="l00625"></a>00625 };
<a name="l00626"></a>00626
<a name="l00630"></a>00630 <span class="keyword">template</span> < <span class="keyword">class</span> E >
<a name="l00631"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__container__traits.html">00631</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__container__traits.html" title="Traits class to extract additional type information from a mutable matrix or vector...">mutable_container_traits</a> {
<a name="l00633"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__container__traits.html#acaad8d9d2258ac81d1f03c4c7f0ccd7a">00633</a> <span class="keyword">typedef</span> <span class="keyword">typename</span> E::reference <a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__container__traits.html#acaad8d9d2258ac81d1f03c4c7f0ccd7a" title="reference to an element">reference</a>;
<a name="l00634"></a>00634
<a name="l00636"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__container__traits.html#afc9b405e035bb649a71078a867a0a954">00636</a> <span class="keyword">typedef</span> <span class="keyword">typename</span> E::closure_type <a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__container__traits.html#afc9b405e035bb649a71078a867a0a954" title="type used in expressions to mark a reference to this class (usually a container_reference&lt;E&gt;...">closure_type</a>;
<a name="l00637"></a>00637 };
<a name="l00638"></a>00638
<a name="l00642"></a>00642 <span class="keyword">template</span> < <span class="keyword">class</span> E >
<a name="l00643"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1container__traits.html">00643</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1container__traits.html" title="Traits class to extract type information from a matrix or vector CONTAINER.">container_traits</a>
<a name="l00644"></a>00644 : <a class="code" href="structboost_1_1numeric_1_1ublas_1_1container__view__traits.html" title="Traits class to extract type information from a constant matrix or vector CONTAINER...">container_view_traits</a><E>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__container__traits.html" title="Traits class to extract additional type information from a mutable matrix or vector...">mutable_container_traits</a><E> {
<a name="l00645"></a>00645
<a name="l00646"></a>00646 };
<a name="l00647"></a>00647
<a name="l00648"></a>00648
<a name="l00652"></a>00652 <span class="keyword">template</span> < <span class="keyword">class</span> MATRIX >
<a name="l00653"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__view__traits.html">00653</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__view__traits.html" title="Traits class to extract type information from a constant MATRIX.">matrix_view_traits</a> : <a class="code" href="structboost_1_1numeric_1_1ublas_1_1container__view__traits.html" title="Traits class to extract type information from a constant matrix or vector CONTAINER...">container_view_traits</a> <MATRIX> {
<a name="l00654"></a>00654
<a name="l00656"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__view__traits.html#ac5889fcf13300a99e309fb9e046a05cd">00656</a> <span class="keyword">typedef</span> <span class="keyword">typename</span> MATRIX::orientation_category <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__view__traits.html#ac5889fcf13300a99e309fb9e046a05cd" title="orientation of the matrix, either row_major_tag, column_major_tag or unknown_orientation_tag...">orientation_category</a>;
<a name="l00657"></a>00657
<a name="l00659"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__view__traits.html#ac7188352e006e69595cd3ef63b146981">00659</a> <span class="keyword">typedef</span> <span class="keyword">typename</span> MATRIX::const_iterator1 <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__view__traits.html#ac7188352e006e69595cd3ef63b146981" title="row iterator for the matrix">const_iterator1</a>;
<a name="l00660"></a>00660
<a name="l00662"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__view__traits.html#ac7631e36ed8151e8502e45fe209ffe7d">00662</a> <span class="keyword">typedef</span> <span class="keyword">typename</span> MATRIX::const_iterator2 <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__view__traits.html#ac7631e36ed8151e8502e45fe209ffe7d" title="column iterator for the matrix">const_iterator2</a>;
<a name="l00663"></a>00663 };
<a name="l00664"></a>00664
<a name="l00668"></a>00668 <span class="keyword">template</span> < <span class="keyword">class</span> MATRIX >
<a name="l00669"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__matrix__traits.html">00669</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__matrix__traits.html" title="Traits class to extract additional type information from a mutable MATRIX.">mutable_matrix_traits</a>
<a name="l00670"></a>00670 : <a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__container__traits.html" title="Traits class to extract additional type information from a mutable matrix or vector...">mutable_container_traits</a> <MATRIX> {
<a name="l00671"></a>00671
<a name="l00673"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__matrix__traits.html#a4552d6a39479c012ddcd8e192137957f">00673</a> <span class="keyword">typedef</span> <span class="keyword">typename</span> MATRIX::iterator1 <a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__matrix__traits.html#a4552d6a39479c012ddcd8e192137957f" title="row iterator for the matrix">iterator1</a>;
<a name="l00674"></a>00674
<a name="l00676"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__matrix__traits.html#ab69dd939738914bdb51477a87a639776">00676</a> <span class="keyword">typedef</span> <span class="keyword">typename</span> MATRIX::iterator2 <a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__matrix__traits.html#ab69dd939738914bdb51477a87a639776" title="column iterator for the matrix">iterator2</a>;
<a name="l00677"></a>00677 };
<a name="l00678"></a>00678
<a name="l00679"></a>00679
<a name="l00683"></a>00683 <span class="keyword">template</span> < <span class="keyword">class</span> MATRIX >
<a name="l00684"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__traits.html">00684</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__traits.html" title="Traits class to extract type information from a MATRIX.">matrix_traits</a>
<a name="l00685"></a>00685 : <a class="code" href="structboost_1_1numeric_1_1ublas_1_1matrix__view__traits.html" title="Traits class to extract type information from a constant MATRIX.">matrix_view_traits</a> <MATRIX>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__matrix__traits.html" title="Traits class to extract additional type information from a mutable MATRIX.">mutable_matrix_traits</a> <MATRIX> {
<a name="l00686"></a>00686 };
<a name="l00687"></a>00687
<a name="l00691"></a>00691 <span class="keyword">template</span> < <span class="keyword">class</span> VECTOR >
<a name="l00692"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__view__traits.html">00692</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__view__traits.html" title="Traits class to extract type information from a VECTOR.">vector_view_traits</a> : <a class="code" href="structboost_1_1numeric_1_1ublas_1_1container__view__traits.html" title="Traits class to extract type information from a constant matrix or vector CONTAINER...">container_view_traits</a> <VECTOR> {
<a name="l00693"></a>00693
<a name="l00695"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__view__traits.html#a3f88a6766f3cea344482f21c1e4d0044">00695</a> <span class="keyword">typedef</span> <span class="keyword">typename</span> VECTOR::const_iterator <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__view__traits.html#a3f88a6766f3cea344482f21c1e4d0044" title="iterator for the VECTOR">const_iterator</a>;
<a name="l00696"></a>00696
<a name="l00698"></a>00698 <span class="keyword">static</span>
<a name="l00699"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__view__traits.html#ab9b26cd5e6e24d6121c5c67f8044c8ec">00699</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__view__traits.html#a3f88a6766f3cea344482f21c1e4d0044" title="iterator for the VECTOR">const_iterator</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__view__traits.html#ab9b26cd5e6e24d6121c5c67f8044c8ec" title="iterator pointing to the first element">begin</a>(<span class="keyword">const</span> VECTOR & v) {
<a name="l00700"></a>00700 <span class="keywordflow">return</span> v.begin();
<a name="l00701"></a>00701 }
<a name="l00703"></a>00703 <span class="keyword">static</span>
<a name="l00704"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__view__traits.html#a91351e230554759847870b45f4b63776">00704</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__view__traits.html#a3f88a6766f3cea344482f21c1e4d0044" title="iterator for the VECTOR">const_iterator</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__view__traits.html#a91351e230554759847870b45f4b63776" title="iterator pointing behind the last element">end</a>(<span class="keyword">const</span> VECTOR & v) {
<a name="l00705"></a>00705 <span class="keywordflow">return</span> v.end();
<a name="l00706"></a>00706 }
<a name="l00707"></a>00707
<a name="l00708"></a>00708 };
<a name="l00709"></a>00709
<a name="l00713"></a>00713 <span class="keyword">template</span> < <span class="keyword">class</span> VECTOR >
<a name="l00714"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__vector__traits.html">00714</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__vector__traits.html" title="Traits class to extract type information from a VECTOR.">mutable_vector_traits</a> : <a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__container__traits.html" title="Traits class to extract additional type information from a mutable matrix or vector...">mutable_container_traits</a> <VECTOR> {
<a name="l00716"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__vector__traits.html#ac856b512dfca9d3e4cc6f5110c39da84">00716</a> <span class="keyword">typedef</span> <span class="keyword">typename</span> VECTOR::iterator <a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__vector__traits.html#ac856b512dfca9d3e4cc6f5110c39da84" title="iterator for the VECTOR">iterator</a>;
<a name="l00717"></a>00717
<a name="l00719"></a>00719 <span class="keyword">static</span>
<a name="l00720"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__vector__traits.html#a48f4dfdc2d23d086594741e6363aaa00">00720</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__vector__traits.html#ac856b512dfca9d3e4cc6f5110c39da84" title="iterator for the VECTOR">iterator</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__vector__traits.html#a48f4dfdc2d23d086594741e6363aaa00" title="iterator pointing to the first element">begin</a>(VECTOR & v) {
<a name="l00721"></a>00721 <span class="keywordflow">return</span> v.begin();
<a name="l00722"></a>00722 }
<a name="l00723"></a>00723
<a name="l00725"></a>00725 <span class="keyword">static</span>
<a name="l00726"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__vector__traits.html#a96d3c5956a00bf8bd9bd5765cc055e81">00726</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__vector__traits.html#ac856b512dfca9d3e4cc6f5110c39da84" title="iterator for the VECTOR">iterator</a> <a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__vector__traits.html#a96d3c5956a00bf8bd9bd5765cc055e81" title="iterator pointing behind the last element">end</a>(VECTOR & v) {
<a name="l00727"></a>00727 <span class="keywordflow">return</span> v.end();
<a name="l00728"></a>00728 }
<a name="l00729"></a>00729 };
<a name="l00730"></a>00730
<a name="l00734"></a>00734 <span class="keyword">template</span> < <span class="keyword">class</span> VECTOR >
<a name="l00735"></a><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__traits.html">00735</a> <span class="keyword">struct </span><a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__traits.html" title="Traits class to extract type information from a VECTOR.">vector_traits</a>
<a name="l00736"></a>00736 : <a class="code" href="structboost_1_1numeric_1_1ublas_1_1vector__view__traits.html" title="Traits class to extract type information from a VECTOR.">vector_view_traits</a> <VECTOR>, <a class="code" href="structboost_1_1numeric_1_1ublas_1_1mutable__vector__traits.html" title="Traits class to extract type information from a VECTOR.">mutable_vector_traits</a> <VECTOR> {
<a name="l00737"></a>00737 };
<a name="l00738"></a>00738
<a name="l00739"></a>00739
<a name="l00740"></a>00740 <span class="comment">// Note: specializations for T[N] and T[M][N] have been moved to traits/c_array.hpp</span>
<a name="l00741"></a>00741
<a name="l00742"></a>00742 }}}
<a name="l00743"></a>00743
<a name="l00744"></a>00744 <span class="preprocessor">#endif</span>
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