537 lines
74 KiB
XML
537 lines
74 KiB
XML
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<label>/usr/include/gecode/third-party/boost/numeric/interval/arith2.hpp</label>
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<label>gecode/third-party/boost/numeric/interval/detail/interval_prototype.hpp</label>
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<label>gecode/third-party/boost/config.hpp</label>
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<label>gecode/third-party/boost/numeric/interval/interval.hpp</label>
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<label>algorithm</label>
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<link refid="transc_8hpp_source"/>
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<childnode refid="34444" relation="include">
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</invincdepgraph>
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<innernamespace refid="namespaceboost">boost</innernamespace>
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<innernamespace refid="namespaceboost_1_1numeric">boost::numeric</innernamespace>
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<innernamespace refid="namespaceboost_1_1numeric_1_1interval__lib">boost::numeric::interval_lib</innernamespace>
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<innernamespace refid="namespaceboost_1_1numeric_1_1interval__lib_1_1detail">boost::numeric::interval_lib::detail</innernamespace>
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<briefdescription>
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</briefdescription>
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<detaileddescription>
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</detaileddescription>
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<programlisting>
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<codeline lineno="1"><highlight class="comment">/*<sp/>Boost<sp/>interval/arith2.hpp<sp/>template<sp/>implementation<sp/>file</highlight></codeline>
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<codeline lineno="2"><highlight class="comment"><sp/>*</highlight></codeline>
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<codeline lineno="3"><highlight class="comment"><sp/>*<sp/>This<sp/>header<sp/>provides<sp/>some<sp/>auxiliary<sp/>arithmetic</highlight></codeline>
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<codeline lineno="4"><highlight class="comment"><sp/>*<sp/>functions:<sp/>fmod,<sp/>sqrt,<sp/>square,<sp/>pov,<sp/>inverse<sp/>and</highlight></codeline>
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<codeline lineno="5"><highlight class="comment"><sp/>*<sp/>a<sp/>multi-interval<sp/>division.</highlight></codeline>
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<codeline lineno="6"><highlight class="comment"><sp/>*</highlight></codeline>
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<codeline lineno="7"><highlight class="comment"><sp/>*<sp/>Copyright<sp/>2002-2003<sp/>Hervé<sp/>Brönnimann,<sp/>Guillaume<sp/>Melquiond,<sp/>Sylvain<sp/>Pion</highlight></codeline>
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<codeline lineno="8"><highlight class="comment"><sp/>*</highlight></codeline>
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<codeline lineno="9"><highlight class="comment"><sp/>*<sp/>Distributed<sp/>under<sp/>the<sp/>Boost<sp/>Software<sp/>License,<sp/>Version<sp/>1.0.</highlight></codeline>
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<codeline lineno="10"><highlight class="comment"><sp/>*<sp/>(See<sp/>accompanying<sp/>file<sp/>LICENSE_1_0.txt<sp/>or</highlight></codeline>
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<codeline lineno="11"><highlight class="comment"><sp/>*<sp/>copy<sp/>at<sp/>http://www.boost.org/LICENSE_1_0.txt)</highlight></codeline>
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<codeline lineno="12"><highlight class="comment"><sp/>*/</highlight><highlight class="normal"></highlight></codeline>
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<codeline lineno="13"><highlight class="normal"></highlight></codeline>
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<codeline lineno="14"><highlight class="normal"></highlight><highlight class="preprocessor">#ifndef<sp/>BOOST_NUMERIC_INTERVAL_ARITH2_HPP</highlight></codeline>
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<codeline lineno="15"><highlight class="preprocessor"></highlight><highlight class="preprocessor">#define<sp/>BOOST_NUMERIC_INTERVAL_ARITH2_HPP</highlight></codeline>
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<codeline lineno="16"><highlight class="preprocessor"></highlight><highlight class="normal"></highlight></codeline>
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<codeline lineno="17"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/><gecode/third-party/boost/config.hpp></highlight><highlight class="normal"></highlight></codeline>
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<codeline lineno="18"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/><gecode/third-party/boost/numeric/interval/detail/interval_prototype.hpp></highlight><highlight class="normal"></highlight></codeline>
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<codeline lineno="19"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/><gecode/third-party/boost/numeric/interval/detail/test_input.hpp></highlight><highlight class="normal"></highlight></codeline>
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<codeline lineno="20"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/><gecode/third-party/boost/numeric/interval/detail/bugs.hpp></highlight><highlight class="normal"></highlight></codeline>
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<codeline lineno="21"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/><gecode/third-party/boost/numeric/interval/detail/division.hpp></highlight><highlight class="normal"></highlight></codeline>
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<codeline lineno="22"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/><gecode/third-party/boost/numeric/interval/arith.hpp></highlight><highlight class="normal"></highlight></codeline>
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<codeline lineno="23"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/><gecode/third-party/boost/numeric/interval/policies.hpp></highlight><highlight class="normal"></highlight></codeline>
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<codeline lineno="24"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/><algorithm></highlight><highlight class="normal"></highlight></codeline>
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<codeline lineno="25"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/><cassert></highlight><highlight class="normal"></highlight></codeline>
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<codeline lineno="26"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/><gecode/third-party/boost/config/no_tr1/cmath.hpp></highlight><highlight class="normal"></highlight></codeline>
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<codeline lineno="27"><highlight class="normal"></highlight></codeline>
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<codeline lineno="28"><highlight class="normal"></highlight><highlight class="keyword">namespace<sp/></highlight><highlight class="normal">boost<sp/>{</highlight></codeline>
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<codeline lineno="29"><highlight class="normal"></highlight><highlight class="keyword">namespace<sp/></highlight><highlight class="normal">numeric<sp/>{</highlight></codeline>
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<codeline lineno="30"><highlight class="normal"></highlight></codeline>
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<codeline lineno="31"><highlight class="normal"></highlight><highlight class="keyword">template</highlight><highlight class="normal"><</highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>T,<sp/></highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>Policies><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"></highlight></codeline>
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<codeline lineno="32"><highlight class="normal">interval<T,<sp/>Policies><sp/>fmod(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>interval<T,<sp/>Policies>&<sp/>x,</highlight></codeline>
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<codeline lineno="33"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>interval<T,<sp/>Policies>&<sp/>y)</highlight></codeline>
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<codeline lineno="34"><highlight class="normal">{</highlight></codeline>
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<codeline lineno="35"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(interval_lib::detail::test_input(x,<sp/>y))</highlight></codeline>
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<codeline lineno="36"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>interval<T,<sp/>Policies>::empty();</highlight></codeline>
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<codeline lineno="37"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Policies::rounding<sp/>rnd;</highlight></codeline>
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<codeline lineno="38"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">typedef</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>interval_lib::unprotect<interval<T,<sp/>Policies><sp/>>::type<sp/>I;</highlight></codeline>
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<codeline lineno="39"><highlight class="normal"><sp/><sp/>T<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>&yb<sp/>=<sp/>interval_lib::user::is_neg(x.lower())<sp/>?<sp/>y.lower()<sp/>:<sp/>y.upper();</highlight></codeline>
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<codeline lineno="40"><highlight class="normal"><sp/><sp/>T<sp/>n<sp/>=<sp/>rnd.int_down(rnd.div_down(x.lower(),<sp/>yb));</highlight></codeline>
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<codeline lineno="41"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>I&)x<sp/>-<sp/>n<sp/>*<sp/>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>I&)y;</highlight></codeline>
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<codeline lineno="42"><highlight class="normal">}</highlight></codeline>
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<codeline lineno="43"><highlight class="normal"></highlight></codeline>
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<codeline lineno="44"><highlight class="normal"></highlight><highlight class="keyword">template</highlight><highlight class="normal"><</highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>T,<sp/></highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>Policies><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"></highlight></codeline>
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<codeline lineno="45"><highlight class="normal">interval<T,<sp/>Policies><sp/>fmod(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>interval<T,<sp/>Policies>&<sp/>x,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>T&<sp/>y)</highlight></codeline>
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<codeline lineno="46"><highlight class="normal">{</highlight></codeline>
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<codeline lineno="47"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(interval_lib::detail::test_input(x,<sp/>y))</highlight></codeline>
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<codeline lineno="48"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>interval<T,<sp/>Policies>::empty();</highlight></codeline>
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<codeline lineno="49"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Policies::rounding<sp/>rnd;</highlight></codeline>
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<codeline lineno="50"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">typedef</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>interval_lib::unprotect<interval<T,<sp/>Policies><sp/>>::type<sp/>I;</highlight></codeline>
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<codeline lineno="51"><highlight class="normal"><sp/><sp/>T<sp/>n<sp/>=<sp/>rnd.int_down(rnd.div_down(x.lower(),<sp/>y));</highlight></codeline>
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<codeline lineno="52"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>I&)x<sp/>-<sp/>n<sp/>*<sp/>I(y);</highlight></codeline>
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<codeline lineno="53"><highlight class="normal">}</highlight></codeline>
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<codeline lineno="54"><highlight class="normal"></highlight></codeline>
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<codeline lineno="55"><highlight class="normal"></highlight><highlight class="keyword">template</highlight><highlight class="normal"><</highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>T,<sp/></highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>Policies><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"></highlight></codeline>
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<codeline lineno="56"><highlight class="normal">interval<T,<sp/>Policies><sp/>fmod(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>T&<sp/>x,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>interval<T,<sp/>Policies>&<sp/>y)</highlight></codeline>
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<codeline lineno="57"><highlight class="normal">{</highlight></codeline>
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<codeline lineno="58"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(interval_lib::detail::test_input(x,<sp/>y))</highlight></codeline>
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<codeline lineno="59"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>interval<T,<sp/>Policies>::empty();</highlight></codeline>
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<codeline lineno="60"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Policies::rounding<sp/>rnd;</highlight></codeline>
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<codeline lineno="61"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">typedef</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>interval_lib::unprotect<interval<T,<sp/>Policies><sp/>>::type<sp/>I;</highlight></codeline>
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<codeline lineno="62"><highlight class="normal"><sp/><sp/>T<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>&yb<sp/>=<sp/>interval_lib::user::is_neg(x)<sp/>?<sp/>y.lower()<sp/>:<sp/>y.upper();</highlight></codeline>
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|
<codeline lineno="63"><highlight class="normal"><sp/><sp/>T<sp/>n<sp/>=<sp/>rnd.int_down(rnd.div_down(x,<sp/>yb));</highlight></codeline>
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|
<codeline lineno="64"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>x<sp/>-<sp/>n<sp/>*<sp/>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>I&)y;</highlight></codeline>
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<codeline lineno="65"><highlight class="normal">}</highlight></codeline>
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<codeline lineno="66"><highlight class="normal"></highlight></codeline>
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<codeline lineno="67"><highlight class="normal"></highlight><highlight class="keyword">namespace<sp/></highlight><highlight class="normal">interval_lib<sp/>{</highlight></codeline>
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|
<codeline lineno="68"><highlight class="normal"></highlight></codeline>
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|
<codeline lineno="69"><highlight class="normal"></highlight><highlight class="keyword">template</highlight><highlight class="normal"><</highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>T,<sp/></highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>Policies><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"></highlight></codeline>
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<codeline lineno="70"><highlight class="normal">interval<T,<sp/>Policies><sp/>division_part1(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>interval<T,<sp/>Policies>&<sp/>x,</highlight></codeline>
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|
<codeline lineno="71"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>interval<T,<sp/>Policies>&<sp/>y,<sp/></highlight><highlight class="keywordtype">bool</highlight><highlight class="normal">&<sp/>b)</highlight></codeline>
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<codeline lineno="72"><highlight class="normal">{</highlight></codeline>
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<codeline lineno="73"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">typedef</highlight><highlight class="normal"><sp/>interval<T,<sp/>Policies><sp/>I;</highlight></codeline>
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<codeline lineno="74"><highlight class="normal"><sp/><sp/>b<sp/>=<sp/></highlight><highlight class="keyword">false</highlight><highlight class="normal">;</highlight></codeline>
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<codeline lineno="75"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(detail::test_input(x,<sp/>y))</highlight></codeline>
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|
<codeline lineno="76"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I::empty();</highlight></codeline>
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<codeline lineno="77"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(zero_in(y))</highlight></codeline>
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<codeline lineno="78"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!user::is_zero(y.lower()))</highlight></codeline>
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<codeline lineno="79"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!user::is_zero(y.upper()))</highlight></codeline>
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<codeline lineno="80"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>detail::div_zero_part1(x,<sp/>y,<sp/>b);</highlight></codeline>
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<codeline lineno="81"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"></highlight></codeline>
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<codeline lineno="82"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>detail::div_negative(x,<sp/>y.lower());</highlight></codeline>
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<codeline lineno="83"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"></highlight></codeline>
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|
<codeline lineno="84"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!user::is_zero(y.upper()))</highlight></codeline>
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|
<codeline lineno="85"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>detail::div_positive(x,<sp/>y.upper());</highlight></codeline>
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<codeline lineno="86"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"></highlight></codeline>
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|
<codeline lineno="87"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I::empty();</highlight></codeline>
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|
<codeline lineno="88"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"></highlight></codeline>
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|
<codeline lineno="89"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>detail::div_non_zero(x,<sp/>y);</highlight></codeline>
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|
<codeline lineno="90"><highlight class="normal">}</highlight></codeline>
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|
<codeline lineno="91"><highlight class="normal"></highlight></codeline>
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|
<codeline lineno="92"><highlight class="normal"></highlight><highlight class="keyword">template</highlight><highlight class="normal"><</highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>T,<sp/></highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>Policies><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"></highlight></codeline>
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|
<codeline lineno="93"><highlight class="normal">interval<T,<sp/>Policies><sp/>division_part2(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>interval<T,<sp/>Policies>&<sp/>x,</highlight></codeline>
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|
<codeline lineno="94"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>interval<T,<sp/>Policies>&<sp/>y,<sp/></highlight><highlight class="keywordtype">bool</highlight><highlight class="normal"><sp/>b<sp/>=<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">)</highlight></codeline>
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|
<codeline lineno="95"><highlight class="normal">{</highlight></codeline>
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|
<codeline lineno="96"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!b)<sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>interval<T,<sp/>Policies>::empty();</highlight></codeline>
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|
<codeline lineno="97"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>detail::div_zero_part2(x,<sp/>y);</highlight></codeline>
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|
<codeline lineno="98"><highlight class="normal">}</highlight></codeline>
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|
<codeline lineno="99"><highlight class="normal"></highlight></codeline>
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|
<codeline lineno="100"><highlight class="normal"></highlight><highlight class="keyword">template</highlight><highlight class="normal"><</highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>T,<sp/></highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>Policies><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"></highlight></codeline>
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|
<codeline lineno="101"><highlight class="normal">interval<T,<sp/>Policies><sp/>multiplicative_inverse(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>interval<T,<sp/>Policies>&<sp/>x)</highlight></codeline>
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|
<codeline lineno="102"><highlight class="normal">{</highlight></codeline>
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|
<codeline lineno="103"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">typedef</highlight><highlight class="normal"><sp/>interval<T,<sp/>Policies><sp/>I;</highlight></codeline>
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|
<codeline lineno="104"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(detail::test_input(x))</highlight></codeline>
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|
<codeline lineno="105"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I::empty();</highlight></codeline>
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|
<codeline lineno="106"><highlight class="normal"><sp/><sp/>T<sp/>one<sp/>=<sp/></highlight><highlight class="keyword">static_cast<</highlight><highlight class="normal">T</highlight><highlight class="keyword">></highlight><highlight class="normal">(1);</highlight></codeline>
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|
<codeline lineno="107"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Policies::rounding<sp/>rnd;</highlight></codeline>
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|
<codeline lineno="108"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(zero_in(x))<sp/>{</highlight></codeline>
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|
<codeline lineno="109"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">typedef</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Policies::checking<sp/>checking;</highlight></codeline>
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|
<codeline lineno="110"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!user::is_zero(x.lower()))</highlight></codeline>
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|
<codeline lineno="111"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!user::is_zero(x.upper()))</highlight></codeline>
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|
<codeline lineno="112"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I::whole();</highlight></codeline>
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|
<codeline lineno="113"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="114"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I(checking::neg_inf(),<sp/>rnd.div_up(one,<sp/>x.lower()),<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">);</highlight></codeline>
|
|
<codeline lineno="115"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="116"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!user::is_zero(x.upper()))</highlight></codeline>
|
|
<codeline lineno="117"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I(rnd.div_down(one,<sp/>x.upper()),<sp/>checking::pos_inf(),<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">);</highlight></codeline>
|
|
<codeline lineno="118"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="119"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I::empty();</highlight></codeline>
|
|
<codeline lineno="120"><highlight class="normal"><sp/><sp/>}<sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"><sp/></highlight></codeline>
|
|
<codeline lineno="121"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I(rnd.div_down(one,<sp/>x.upper()),<sp/>rnd.div_up(one,<sp/>x.lower()),<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">);</highlight></codeline>
|
|
<codeline lineno="122"><highlight class="normal">}</highlight></codeline>
|
|
<codeline lineno="123"><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="124"><highlight class="normal"></highlight><highlight class="keyword">namespace<sp/></highlight><highlight class="normal">detail<sp/>{</highlight></codeline>
|
|
<codeline lineno="125"><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="126"><highlight class="normal"></highlight><highlight class="keyword">template</highlight><highlight class="normal"><</highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>T,<sp/></highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>Rounding><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="127"><highlight class="normal">T<sp/>pow_dn(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>T&<sp/>x_,<sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>pwr,<sp/>Rounding&<sp/>rnd)<sp/></highlight><highlight class="comment">//<sp/>x<sp/>and<sp/>pwr<sp/>are<sp/>positive</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="128"><highlight class="normal">{</highlight></codeline>
|
|
<codeline lineno="129"><highlight class="normal"><sp/><sp/>T<sp/>x<sp/>=<sp/>x_;</highlight></codeline>
|
|
<codeline lineno="130"><highlight class="normal"><sp/><sp/>T<sp/>y<sp/>=<sp/>(pwr<sp/>&<sp/>1)<sp/>?<sp/>x_<sp/>:<sp/>static_cast<T>(1);</highlight></codeline>
|
|
<codeline lineno="131"><highlight class="normal"><sp/><sp/>pwr<sp/>>>=<sp/>1;</highlight></codeline>
|
|
<codeline lineno="132"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">while</highlight><highlight class="normal"><sp/>(pwr<sp/>><sp/>0)<sp/>{</highlight></codeline>
|
|
<codeline lineno="133"><highlight class="normal"><sp/><sp/><sp/><sp/>x<sp/>=<sp/>rnd.mul_down(x,<sp/>x);</highlight></codeline>
|
|
<codeline lineno="134"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(pwr<sp/>&<sp/>1)<sp/>y<sp/>=<sp/>rnd.mul_down(x,<sp/>y);</highlight></codeline>
|
|
<codeline lineno="135"><highlight class="normal"><sp/><sp/><sp/><sp/>pwr<sp/>>>=<sp/>1;</highlight></codeline>
|
|
<codeline lineno="136"><highlight class="normal"><sp/><sp/>}</highlight></codeline>
|
|
<codeline lineno="137"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>y;</highlight></codeline>
|
|
<codeline lineno="138"><highlight class="normal">}</highlight></codeline>
|
|
<codeline lineno="139"><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="140"><highlight class="normal"></highlight><highlight class="keyword">template</highlight><highlight class="normal"><</highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>T,<sp/></highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>Rounding><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="141"><highlight class="normal">T<sp/>pow_up(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>T&<sp/>x_,<sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>pwr,<sp/>Rounding&<sp/>rnd)<sp/></highlight><highlight class="comment">//<sp/>x<sp/>and<sp/>pwr<sp/>are<sp/>positive</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="142"><highlight class="normal">{</highlight></codeline>
|
|
<codeline lineno="143"><highlight class="normal"><sp/><sp/>T<sp/>x<sp/>=<sp/>x_;</highlight></codeline>
|
|
<codeline lineno="144"><highlight class="normal"><sp/><sp/>T<sp/>y<sp/>=<sp/>(pwr<sp/>&<sp/>1)<sp/>?<sp/>x_<sp/>:<sp/>static_cast<T>(1);</highlight></codeline>
|
|
<codeline lineno="145"><highlight class="normal"><sp/><sp/>pwr<sp/>>>=<sp/>1;</highlight></codeline>
|
|
<codeline lineno="146"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">while</highlight><highlight class="normal"><sp/>(pwr<sp/>><sp/>0)<sp/>{</highlight></codeline>
|
|
<codeline lineno="147"><highlight class="normal"><sp/><sp/><sp/><sp/>x<sp/>=<sp/>rnd.mul_up(x,<sp/>x);</highlight></codeline>
|
|
<codeline lineno="148"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(pwr<sp/>&<sp/>1)<sp/>y<sp/>=<sp/>rnd.mul_up(x,<sp/>y);</highlight></codeline>
|
|
<codeline lineno="149"><highlight class="normal"><sp/><sp/><sp/><sp/>pwr<sp/>>>=<sp/>1;</highlight></codeline>
|
|
<codeline lineno="150"><highlight class="normal"><sp/><sp/>}</highlight></codeline>
|
|
<codeline lineno="151"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>y;</highlight></codeline>
|
|
<codeline lineno="152"><highlight class="normal">}</highlight></codeline>
|
|
<codeline lineno="153"><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="154"><highlight class="normal">}<sp/></highlight><highlight class="comment">//<sp/>namespace<sp/>detail</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="155"><highlight class="normal">}<sp/></highlight><highlight class="comment">//<sp/>namespace<sp/>interval_lib</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="156"><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="157"><highlight class="normal"></highlight><highlight class="keyword">template</highlight><highlight class="normal"><</highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>T,<sp/></highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>Policies><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="158"><highlight class="normal">interval<T,<sp/>Policies><sp/><ref refid="group__TaskModelFloatArith_1ga1adef9cf9e923f5555f4ef785596cba4" kindref="member">pow</ref>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>interval<T,<sp/>Policies>&<sp/>x,<sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>pwr)</highlight></codeline>
|
|
<codeline lineno="159"><highlight class="normal">{</highlight></codeline>
|
|
<codeline lineno="160"><highlight class="normal"><sp/><sp/>BOOST_USING_STD_MAX();</highlight></codeline>
|
|
<codeline lineno="161"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">using</highlight><highlight class="normal"><sp/>interval_lib::detail::pow_dn;</highlight></codeline>
|
|
<codeline lineno="162"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">using</highlight><highlight class="normal"><sp/>interval_lib::detail::pow_up;</highlight></codeline>
|
|
<codeline lineno="163"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">typedef</highlight><highlight class="normal"><sp/>interval<T,<sp/>Policies><sp/>I;</highlight></codeline>
|
|
<codeline lineno="164"><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="165"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(interval_lib::detail::test_input(x))</highlight></codeline>
|
|
<codeline lineno="166"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I::empty();</highlight></codeline>
|
|
<codeline lineno="167"><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="168"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(pwr<sp/>==<sp/>0)</highlight></codeline>
|
|
<codeline lineno="169"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(interval_lib::user::is_zero(x.lower())</highlight></codeline>
|
|
<codeline lineno="170"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>&&<sp/>interval_lib::user::is_zero(x.upper()))</highlight></codeline>
|
|
<codeline lineno="171"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I::empty();</highlight></codeline>
|
|
<codeline lineno="172"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="173"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I(static_cast<T>(1));</highlight></codeline>
|
|
<codeline lineno="174"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(pwr<sp/><<sp/>0)</highlight></codeline>
|
|
<codeline lineno="175"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>interval_lib::multiplicative_inverse(<ref refid="group__TaskModelFloatArith_1ga1adef9cf9e923f5555f4ef785596cba4" kindref="member">pow</ref>(x,<sp/>-pwr));</highlight></codeline>
|
|
<codeline lineno="176"><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="177"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Policies::rounding<sp/>rnd;</highlight></codeline>
|
|
<codeline lineno="178"><highlight class="normal"><sp/><sp/></highlight></codeline>
|
|
<codeline lineno="179"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(interval_lib::user::is_neg(x.upper()))<sp/>{<sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>[-2,-1]</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="180"><highlight class="normal"><sp/><sp/><sp/><sp/>T<sp/>yl<sp/>=<sp/>pow_dn(static_cast<T>(-x.upper()),<sp/>pwr,<sp/>rnd);</highlight></codeline>
|
|
<codeline lineno="181"><highlight class="normal"><sp/><sp/><sp/><sp/>T<sp/>yu<sp/>=<sp/>pow_up(static_cast<T>(-x.lower()),<sp/>pwr,<sp/>rnd);</highlight></codeline>
|
|
<codeline lineno="182"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(pwr<sp/>&<sp/>1)<sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>[-2,-1]^1</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="183"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I(-yu,<sp/>-yl,<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">);</highlight></codeline>
|
|
<codeline lineno="184"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>[-2,-1]^2</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="185"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I(yl,<sp/>yu,<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">);</highlight></codeline>
|
|
<codeline lineno="186"><highlight class="normal"><sp/><sp/>}<sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(interval_lib::user::is_neg(x.lower()))<sp/>{<sp/></highlight><highlight class="comment">//<sp/>[-1,1]</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="187"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(pwr<sp/>&<sp/>1)<sp/>{<sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>[-1,1]^1</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="188"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I(-pow_up(static_cast<T>(-x.lower()),<sp/>pwr,<sp/>rnd),<sp/>pow_up(x.upper(),<sp/>pwr,<sp/>rnd),<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">);</highlight></codeline>
|
|
<codeline lineno="189"><highlight class="normal"><sp/><sp/><sp/><sp/>}<sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"><sp/>{<sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>[-1,1]^2</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="190"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I(static_cast<T>(0),<sp/>pow_up(<ref refid="group__TaskModelFloatArith_1ga958cb25ae9754d6cc35c7c6e34ebc1e3" kindref="member">max</ref><sp/>BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<T>(-x.lower()),<sp/>x.upper()),<sp/>pwr,<sp/>rnd),<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">);</highlight></codeline>
|
|
<codeline lineno="191"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
|
|
<codeline lineno="192"><highlight class="normal"><sp/><sp/>}<sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"><sp/>{<sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>[1,2]</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="193"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I(pow_dn(x.lower(),<sp/>pwr,<sp/>rnd),<sp/>pow_up(x.upper(),<sp/>pwr,<sp/>rnd),<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">);</highlight></codeline>
|
|
<codeline lineno="194"><highlight class="normal"><sp/><sp/>}</highlight></codeline>
|
|
<codeline lineno="195"><highlight class="normal">}</highlight></codeline>
|
|
<codeline lineno="196"><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="197"><highlight class="normal"></highlight><highlight class="keyword">template</highlight><highlight class="normal"><</highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>T,<sp/></highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>Policies><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="198"><highlight class="normal">interval<T,<sp/>Policies><sp/><ref refid="group__TaskModelFloatArith_1ga64708360c9e893d05c85e2b646c917df" kindref="member">sqrt</ref>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>interval<T,<sp/>Policies>&<sp/>x)</highlight></codeline>
|
|
<codeline lineno="199"><highlight class="normal">{</highlight></codeline>
|
|
<codeline lineno="200"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">typedef</highlight><highlight class="normal"><sp/>interval<T,<sp/>Policies><sp/>I;</highlight></codeline>
|
|
<codeline lineno="201"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(interval_lib::detail::test_input(x)<sp/>||<sp/>interval_lib::user::is_neg(x.upper()))</highlight></codeline>
|
|
<codeline lineno="202"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I::empty();</highlight></codeline>
|
|
<codeline lineno="203"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Policies::rounding<sp/>rnd;</highlight></codeline>
|
|
<codeline lineno="204"><highlight class="normal"><sp/><sp/>T<sp/>l<sp/>=<sp/>!interval_lib::user::is_pos(x.lower())<sp/>?<sp/>static_cast<T>(0)<sp/>:<sp/>rnd.sqrt_down(x.lower());</highlight></codeline>
|
|
<codeline lineno="205"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I(l,<sp/>rnd.sqrt_up(x.upper()),<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">);</highlight></codeline>
|
|
<codeline lineno="206"><highlight class="normal">}</highlight></codeline>
|
|
<codeline lineno="207"><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="208"><highlight class="normal"></highlight><highlight class="keyword">template</highlight><highlight class="normal"><</highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>T,<sp/></highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>Policies><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="209"><highlight class="normal">interval<T,<sp/>Policies><sp/>square(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>interval<T,<sp/>Policies>&<sp/>x)</highlight></codeline>
|
|
<codeline lineno="210"><highlight class="normal">{</highlight></codeline>
|
|
<codeline lineno="211"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">typedef</highlight><highlight class="normal"><sp/>interval<T,<sp/>Policies><sp/>I;</highlight></codeline>
|
|
<codeline lineno="212"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(interval_lib::detail::test_input(x))</highlight></codeline>
|
|
<codeline lineno="213"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I::empty();</highlight></codeline>
|
|
<codeline lineno="214"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Policies::rounding<sp/>rnd;</highlight></codeline>
|
|
<codeline lineno="215"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>T&<sp/>xl<sp/>=<sp/>x.lower();</highlight></codeline>
|
|
<codeline lineno="216"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>T&<sp/>xu<sp/>=<sp/>x.upper();</highlight></codeline>
|
|
<codeline lineno="217"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(interval_lib::user::is_neg(xu))</highlight></codeline>
|
|
<codeline lineno="218"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I(rnd.mul_down(xu,<sp/>xu),<sp/>rnd.mul_up(xl,<sp/>xl),<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">);</highlight></codeline>
|
|
<codeline lineno="219"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(interval_lib::user::is_pos(x.lower()))</highlight></codeline>
|
|
<codeline lineno="220"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I(rnd.mul_down(xl,<sp/>xl),<sp/>rnd.mul_up(xu,<sp/>xu),<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">);</highlight></codeline>
|
|
<codeline lineno="221"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="222"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I(static_cast<T>(0),<sp/>(-xl<sp/>><sp/>xu<sp/>?<sp/>rnd.mul_up(xl,<sp/>xl)<sp/>:<sp/>rnd.mul_up(xu,<sp/>xu)),<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">);</highlight></codeline>
|
|
<codeline lineno="223"><highlight class="normal">}</highlight></codeline>
|
|
<codeline lineno="224"><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="225"><highlight class="normal"></highlight><highlight class="keyword">namespace<sp/></highlight><highlight class="normal">interval_lib<sp/>{</highlight></codeline>
|
|
<codeline lineno="226"><highlight class="normal"></highlight><highlight class="keyword">namespace<sp/></highlight><highlight class="normal">detail<sp/>{</highlight></codeline>
|
|
<codeline lineno="227"><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="228"><highlight class="normal"></highlight><highlight class="keyword">template</highlight><highlight class="normal"><<sp/></highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>I<sp/>><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="229"><highlight class="normal">I<sp/>root_aux(</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>I::base_type<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>&x,<sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>k)<sp/></highlight><highlight class="comment">//<sp/>x<sp/>and<sp/>k<sp/>are<sp/>bigger<sp/>than<sp/>one</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="230"><highlight class="normal">{</highlight></codeline>
|
|
<codeline lineno="231"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">typedef</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>I::base_type<sp/>T;</highlight></codeline>
|
|
<codeline lineno="232"><highlight class="normal"><sp/><sp/>T<sp/>tk(k);</highlight></codeline>
|
|
<codeline lineno="233"><highlight class="normal"><sp/><sp/>I<sp/>y(static_cast<T>(1),<sp/>x,<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">);</highlight></codeline>
|
|
<codeline lineno="234"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal">(;;)<sp/>{</highlight></codeline>
|
|
<codeline lineno="235"><highlight class="normal"><sp/><sp/><sp/><sp/>T<sp/>y0<sp/>=<sp/>median(y);</highlight></codeline>
|
|
<codeline lineno="236"><highlight class="normal"><sp/><sp/><sp/><sp/>I<sp/>yy<sp/>=<sp/>intersect(y,<sp/>y0<sp/>-<sp/>(<ref refid="group__TaskModelFloatArith_1ga1adef9cf9e923f5555f4ef785596cba4" kindref="member">pow</ref>(I(y0,<sp/>y0,<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">),<sp/>k)<sp/>-<sp/>x)<sp/>/<sp/>(tk<sp/>*<sp/><ref refid="group__TaskModelFloatArith_1ga1adef9cf9e923f5555f4ef785596cba4" kindref="member">pow</ref>(y,<sp/>k<sp/>-<sp/>1)));</highlight></codeline>
|
|
<codeline lineno="237"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(<ref refid="group__FuncIterRangesOp_1gabc0077b3bcdd3d4e4ff6ab306f163c36" kindref="member">equal</ref>(y,<sp/>yy))<sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>y;</highlight></codeline>
|
|
<codeline lineno="238"><highlight class="normal"><sp/><sp/><sp/><sp/>y<sp/>=<sp/>yy;</highlight></codeline>
|
|
<codeline lineno="239"><highlight class="normal"><sp/><sp/>}</highlight></codeline>
|
|
<codeline lineno="240"><highlight class="normal">}</highlight></codeline>
|
|
<codeline lineno="241"><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="242"><highlight class="normal"></highlight><highlight class="keyword">template</highlight><highlight class="normal"><<sp/></highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>I<sp/>><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"><sp/></highlight><highlight class="comment">//<sp/>x<sp/>is<sp/>positive<sp/>and<sp/>k<sp/>bigger<sp/>than<sp/>one</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="243"><highlight class="normal"></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>I::base_type<sp/>root_aux_dn(</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>I::base_type<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>&x,<sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>k)</highlight></codeline>
|
|
<codeline lineno="244"><highlight class="normal">{</highlight></codeline>
|
|
<codeline lineno="245"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">typedef</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>I::base_type<sp/>T;</highlight></codeline>
|
|
<codeline lineno="246"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">typedef</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>I::traits_type<sp/>Policies;</highlight></codeline>
|
|
<codeline lineno="247"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Policies::rounding<sp/>rnd;</highlight></codeline>
|
|
<codeline lineno="248"><highlight class="normal"><sp/><sp/>T<sp/>one(1);</highlight></codeline>
|
|
<codeline lineno="249"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(x<sp/>><sp/>one)<sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>root_aux<I>(x,<sp/>k).lower();</highlight></codeline>
|
|
<codeline lineno="250"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(x<sp/>==<sp/>one)<sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>one;</highlight></codeline>
|
|
<codeline lineno="251"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>rnd.div_down(one,<sp/>root_aux<I>(rnd.div_up(one,<sp/>x),<sp/>k).upper());</highlight></codeline>
|
|
<codeline lineno="252"><highlight class="normal">}</highlight></codeline>
|
|
<codeline lineno="253"><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="254"><highlight class="normal"></highlight><highlight class="keyword">template</highlight><highlight class="normal"><<sp/></highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>I<sp/>><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"><sp/></highlight><highlight class="comment">//<sp/>x<sp/>is<sp/>positive<sp/>and<sp/>k<sp/>bigger<sp/>than<sp/>one</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="255"><highlight class="normal"></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>I::base_type<sp/>root_aux_up(</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>I::base_type<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>&x,<sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>k)</highlight></codeline>
|
|
<codeline lineno="256"><highlight class="normal">{</highlight></codeline>
|
|
<codeline lineno="257"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">typedef</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>I::base_type<sp/>T;</highlight></codeline>
|
|
<codeline lineno="258"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">typedef</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>I::traits_type<sp/>Policies;</highlight></codeline>
|
|
<codeline lineno="259"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Policies::rounding<sp/>rnd;</highlight></codeline>
|
|
<codeline lineno="260"><highlight class="normal"><sp/><sp/>T<sp/>one(1);</highlight></codeline>
|
|
<codeline lineno="261"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(x<sp/>><sp/>one)<sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>root_aux<I>(x,<sp/>k).upper();</highlight></codeline>
|
|
<codeline lineno="262"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(x<sp/>==<sp/>one)<sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>one;</highlight></codeline>
|
|
<codeline lineno="263"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>rnd.div_up(one,<sp/>root_aux<I>(rnd.div_down(one,<sp/>x),<sp/>k).lower());</highlight></codeline>
|
|
<codeline lineno="264"><highlight class="normal">}</highlight></codeline>
|
|
<codeline lineno="265"><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="266"><highlight class="normal">}<sp/></highlight><highlight class="comment">//<sp/>namespace<sp/>detail</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="267"><highlight class="normal">}<sp/></highlight><highlight class="comment">//<sp/>namespace<sp/>interval_lib</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="268"><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="269"><highlight class="normal"></highlight><highlight class="keyword">template</highlight><highlight class="normal"><<sp/></highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>T,<sp/></highlight><highlight class="keyword">class</highlight><highlight class="normal"><sp/>Policies<sp/>><sp/></highlight><highlight class="keyword">inline</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="270"><highlight class="normal">interval<T,<sp/>Policies><sp/>nth_root(interval<T,<sp/>Policies><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>&x,<sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>k)</highlight></codeline>
|
|
<codeline lineno="271"><highlight class="normal">{</highlight></codeline>
|
|
<codeline lineno="272"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">typedef</highlight><highlight class="normal"><sp/>interval<T,<sp/>Policies><sp/>I;</highlight></codeline>
|
|
<codeline lineno="273"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(interval_lib::detail::test_input(x))<sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I::empty();</highlight></codeline>
|
|
<codeline lineno="274"><highlight class="normal"><sp/><sp/>assert(k<sp/>><sp/>0);</highlight></codeline>
|
|
<codeline lineno="275"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(k<sp/>==<sp/>1)<sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>x;</highlight></codeline>
|
|
<codeline lineno="276"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>Policies::rounding<sp/>rnd;</highlight></codeline>
|
|
<codeline lineno="277"><highlight class="normal"><sp/><sp/></highlight><highlight class="keyword">typedef</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>interval_lib::unprotect<I>::type<sp/>R;</highlight></codeline>
|
|
<codeline lineno="278"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!interval_lib::user::is_pos(x.upper()))<sp/>{</highlight></codeline>
|
|
<codeline lineno="279"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(interval_lib::user::is_zero(x.upper()))<sp/>{</highlight></codeline>
|
|
<codeline lineno="280"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/>T<sp/>zero(0);</highlight></codeline>
|
|
<codeline lineno="281"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!(k<sp/>&<sp/>1)<sp/>||<sp/>interval_lib::user::is_zero(x.lower()))<sp/></highlight><highlight class="comment">//<sp/>[-1,0]^/2<sp/>or<sp/>[0,0]</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="282"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I(zero,<sp/>zero,<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">);</highlight></codeline>
|
|
<codeline lineno="283"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>[-1,0]^/3</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="284"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I(-interval_lib::detail::root_aux_up<R>(-x.lower(),<sp/>k),<sp/>zero,<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">);</highlight></codeline>
|
|
<codeline lineno="285"><highlight class="normal"><sp/><sp/><sp/><sp/>}<sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!(k<sp/>&<sp/>1))<sp/></highlight><highlight class="comment">//<sp/>[-2,-1]^/2</highlight><highlight class="normal"></highlight></codeline>
|
|
<codeline lineno="286"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I::empty();</highlight></codeline>
|
|
<codeline lineno="287"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"><sp/>{<sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>[-2,-1]^/3</highlight><highlight class="normal"></highlight></codeline>
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<codeline lineno="288"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I(-interval_lib::detail::root_aux_up<R>(-x.lower(),<sp/>k),</highlight></codeline>
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<codeline lineno="289"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>-interval_lib::detail::root_aux_dn<R>(-x.upper(),<sp/>k),<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">);</highlight></codeline>
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<codeline lineno="290"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
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<codeline lineno="291"><highlight class="normal"><sp/><sp/>}</highlight></codeline>
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<codeline lineno="292"><highlight class="normal"><sp/><sp/>T<sp/>u<sp/>=<sp/>interval_lib::detail::root_aux_up<R>(x.upper(),<sp/>k);</highlight></codeline>
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<codeline lineno="293"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!interval_lib::user::is_pos(x.lower()))</highlight></codeline>
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<codeline lineno="294"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(!(k<sp/>&<sp/>1)<sp/>||<sp/>interval_lib::user::is_zero(x.lower()))<sp/></highlight><highlight class="comment">//<sp/>[-1,1]^/2<sp/>or<sp/>[0,1]</highlight><highlight class="normal"></highlight></codeline>
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<codeline lineno="295"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I(static_cast<T>(0),<sp/>u,<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">);</highlight></codeline>
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<codeline lineno="296"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>[-1,1]^/3</highlight><highlight class="normal"></highlight></codeline>
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<codeline lineno="297"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I(-interval_lib::detail::root_aux_up<R>(-x.lower(),<sp/>k),<sp/>u,<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">);</highlight></codeline>
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<codeline lineno="298"><highlight class="normal"><sp/><sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>[1,2]</highlight><highlight class="normal"></highlight></codeline>
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<codeline lineno="299"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>I(interval_lib::detail::root_aux_dn<R>(x.lower(),<sp/>k),<sp/>u,<sp/></highlight><highlight class="keyword">true</highlight><highlight class="normal">);</highlight></codeline>
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<codeline lineno="300"><highlight class="normal">}</highlight></codeline>
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<codeline lineno="301"><highlight class="normal"></highlight></codeline>
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<codeline lineno="302"><highlight class="normal">}<sp/></highlight><highlight class="comment">//<sp/>namespace<sp/>numeric</highlight><highlight class="normal"></highlight></codeline>
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<codeline lineno="303"><highlight class="normal">}<sp/></highlight><highlight class="comment">//<sp/>namespace<sp/>boost</highlight><highlight class="normal"></highlight></codeline>
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<codeline lineno="304"><highlight class="normal"></highlight></codeline>
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<codeline lineno="305"><highlight class="normal"></highlight><highlight class="preprocessor">#endif<sp/>//<sp/>BOOST_NUMERIC_INTERVAL_ARITH2_HPP</highlight></codeline>
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</programlisting>
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<location file="/usr/include/gecode/third-party/boost/numeric/interval/arith2.hpp"/>
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</compounddef>
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</doxygen>
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