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<h1 id="firstHeading" class="firstHeading"><span style="font-size:0.7em; line-height:130%">std::</span>midpoint</h1>
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<div id="contentSub"><span class="subpages">&lt; <a href="cpp.html">cpp</a>&lrm; | <a href="cpp-numeric.html">numeric</a></span></div>
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<div>&#23450;&#20041;&#20110;&#22836;&#25991;&#20214; <code><a href="cpp-header-numeric.html">&lt;numeric&gt;</a></code></div>
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<div><span class="mw-geshi cpp source-cpp"><span class="kw1">template</span><span class="sy1">&lt;</span> <span class="kw1">class</span> T <span class="sy1">&gt;</span><br />
<span class="kw4">constexpr</span> T midpoint<span class="br0">(</span>T a, T b<span class="br0">)</span> <span class="kw1">noexcept</span><span class="sy4">;</span></span></div>
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<td>(1)</td>
<td><span class="t-mark-rev t-since-cxx20">(C++20 &#36215;)</span></td>
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<div><span class="mw-geshi cpp source-cpp"><span class="kw1">template</span><span class="sy1">&lt;</span> <span class="kw1">class</span> T <span class="sy1">&gt;</span><br />
<span class="kw4">constexpr</span> T<span class="sy2">*</span> midpoint<span class="br0">(</span>T<span class="sy2">*</span> a, T<span class="sy2">*</span> b<span class="br0">)</span><span class="sy4">;</span></span></div>
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<td>(2)</td>
<td><span class="t-mark-rev t-since-cxx20">(C++20 &#36215;)</span></td>
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<p>&#35745;&#31639;&#25972;&#25968;&#12289;&#28014;&#28857;&#25110;&#25351;&#38024; <code>a</code> &#19982; <code>b</code> &#30340;&#20013;&#28857;&#12290;</p>
<div class="t-li1"><span class="t-li">1)</span> &#27492;&#37325;&#36733;&#20165;&#33509; <code>T</code> &#20026; <code>bool</code> &#20197;&#22806;&#30340;&#31639;&#26415;&#31867;&#22411;&#25165;&#21442;&#19982;&#37325;&#36733;&#20915;&#35758;&#12290;</div>
<div class="t-li1"><span class="t-li">2)</span> &#27492;&#37325;&#36733;&#20165;&#33509; <code>T</code> &#20026;&#23545;&#35937;&#31867;&#22411;&#25165;&#21442;&#19982;&#37325;&#36733;&#20915;&#35758;&#12290;&#33509; <code>T</code> &#20026;<a href="cpp-language-type.html#.E4.B8.8D.E5.AE.8C.E6.95.B4.E7.B1.BB.E5.9E.8B">&#19981;&#23436;&#25972;&#31867;&#22411;</a>&#21017;&#27492;&#37325;&#36733;&#30340;&#20351;&#29992;&#20026;&#35884;&#26500;&#12290;</div>
<h3><span class="mw-headline" id=".E5.8F.82.E6.95.B0">&#21442;&#25968;</span></h3>
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<td>a, b</td>
<td>-</td>
<td>&#25972;&#25968;&#12289;&#28014;&#28857;&#25110;&#25351;&#38024;&#20540;</td>
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<h3><span class="mw-headline" id=".E8.BF.94.E5.9B.9E.E5.80.BC">&#36820;&#22238;&#20540;</span></h3>
<div class="t-li1"><span class="t-li">1)</span> <code>a</code> &#19982; <code>b</code> &#21644;&#30340;&#19968;&#21322;&#12290;&#19981;&#20986;&#29616;&#19978;&#28322;&#12290;&#33509; <code>a</code> &#19982; <code>b</code> &#25317;&#26377;&#25972;&#25968;&#31867;&#22411;&#32780;&#21644;&#20026;&#22855;&#25968;&#65292;&#21017;&#21521; <code>a</code> &#21462;&#25972;&#32467;&#26524;&#12290;&#33509; <code>a</code> &#19982; <code>b</code> &#25317;&#26377;&#28014;&#28857;&#31867;&#22411;&#65292;&#21017;&#33267;&#22810;&#20986;&#29616;&#19968;&#27425;&#19981;&#20934;&#30830;&#36816;&#31639;&#12290;</div>
<div class="t-li1"><span class="t-li">2)</span> &#33509; <code>a</code> &#19982; <code>b</code> &#20998;&#21035;&#25351;&#21521;&#65288;&#23601;<a href="cpp-language-operator_arithmetic.html#.E5.8A.A0.E6.B3.95.E6.80.A7.E8.BF.90.E7.AE.97.E7.AC.A6">&#25351;&#38024;&#31639;&#26415;</a>&#30446;&#30340;&#32780;&#35328;&#30340;&#65289;&#21516;&#19968;&#25968;&#32452;&#23545;&#35937; <code>x</code> &#30340; <code>x[i]</code> &#19982; <code>x[j]</code> &#65292;&#21017;&#36820;&#22238;&#25351;&#21521; <code>x[i+(j-i)/2]</code> &#65288;&#25110;&#31561;&#20215;&#22320;&#20026; <code>x[std::midpoint(i, j)]</code> &#65289;&#30340;&#25351;&#38024;&#65292;&#20854;&#20013;&#38500;&#27861;&#21521;&#38646;&#21462;&#25972;&#12290;&#33509; <code>a</code> &#19982; <code>b</code> &#19981;&#25351;&#21521;&#21516;&#19968;&#25968;&#32452;&#23545;&#35937;&#65292;&#21017;&#34892;&#20026;&#26410;&#23450;&#20041;&#12290;</div>
<h3><span class="mw-headline" id=".E5.BC.82.E5.B8.B8">&#24322;&#24120;</span></h3>
<p>&#19981;&#25243;&#24322;&#24120;&#12290;</p>
<h3><span class="mw-headline" id=".E6.B3.A8.E8.A7.A3">&#27880;&#35299;</span></h3>
<p>&#37325;&#36733; <span class="t-v">(2)</span> &#22312;&#24120;&#35265;&#24179;&#21488;&#19978;&#33021;&#31616;&#21333;&#22320;&#23454;&#29616;&#20026; <span class="t-c"><span class="mw-geshi cpp source-cpp"><span class="kw1">return</span> a <span class="sy2">+</span> <span class="br0">(</span>b <span class="sy2">-</span> a<span class="br0">)</span> <span class="sy2">/</span> <span class="nu0">2</span><span class="sy4">;</span></span></span> &#12290;&#28982;&#32780;&#19981;&#20445;&#35777;&#36825;&#31181;&#23454;&#29616;&#26159;&#21487;&#31227;&#26893;&#30340;&#65292;&#22240;&#20026;&#21487;&#20197;&#26377;&#19968;&#20123;&#24179;&#21488;&#19978;&#65292;&#21487;&#22312;&#20854;&#19978;&#21019;&#24314;&#20803;&#32032;&#25968;&#22823;&#20110; <span class="t-lc"><a href="cpp-types-climits.html">PTRDIFF_MAX</a></span> &#30340;&#25968;&#32452;&#65292;&#20174;&#32780;&#21363;&#20351; <code>b</code> &#19982; <code>a</code> &#22343;&#25351;&#21521;&#21516;&#19968;&#25968;&#32452;&#30340;&#20803;&#32032; <span class="t-c"><span class="mw-geshi cpp source-cpp">b <span class="sy2">-</span> a</span></span> &#20134;&#21487;&#23548;&#33268;&#26410;&#23450;&#20041;&#34892;&#20026;&#12290;</p>
<h3><span class="mw-headline" id=".E7.A4.BA.E4.BE.8B">&#31034;&#20363;</span></h3>
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<pre class="de1"><span class="co2">#include &lt;cstdint&gt;</span>
<span class="co2">#include &lt;limits&gt;</span>
<span class="co2">#include &lt;numeric&gt;</span>
<span class="co2">#include &lt;iostream&gt;</span>
<span class="kw4">int</span> main<span class="br0">(</span><span class="br0">)</span>
<span class="br0">{</span>
<a href="cpp-types-integer.html"><span class="kw122">std::<span class="me2">uint32_t</span></span></a> a <span class="sy1">=</span> <a href="cpp-types-numeric_limits.html"><span class="kw344">std::<span class="me2">numeric_limits</span></span></a><span class="sy1">&lt;</span><a href="cpp-types-integer.html"><span class="kw122">std::<span class="me2">uint32_t</span></span></a><span class="sy1">&gt;</span><span class="sy4">::</span><span class="me2">max</span><span class="br0">(</span><span class="br0">)</span><span class="sy4">;</span>
<a href="cpp-types-integer.html"><span class="kw122">std::<span class="me2">uint32_t</span></span></a> b <span class="sy1">=</span> <a href="cpp-types-numeric_limits.html"><span class="kw344">std::<span class="me2">numeric_limits</span></span></a><span class="sy1">&lt;</span><a href="cpp-types-integer.html"><span class="kw122">std::<span class="me2">uint32_t</span></span></a><span class="sy1">&gt;</span><span class="sy4">::</span><span class="me2">max</span><span class="br0">(</span><span class="br0">)</span> <span class="sy2">-</span> <span class="nu0">2</span><span class="sy4">;</span>
<a href="cpp-io-cout.html"><span class="kw1758">std::<span class="me2">cout</span></span></a> <span class="sy1">&lt;&lt;</span> <span class="st0">&quot;a: &quot;</span> <span class="sy1">&lt;&lt;</span> a <span class="sy1">&lt;&lt;</span> <span class="st0">&#39;<span class="es1">\n</span>&#39;</span>
<span class="sy1">&lt;&lt;</span> <span class="st0">&quot;b: &quot;</span> <span class="sy1">&lt;&lt;</span> b <span class="sy1">&lt;&lt;</span> <span class="st0">&#39;<span class="es1">\n</span>&#39;</span>
<span class="sy1">&lt;&lt;</span> <span class="st0">&quot;Incorrect (overflow and wrapping): &quot;</span> <span class="sy1">&lt;&lt;</span> <span class="br0">(</span>a <span class="sy2">+</span> b<span class="br0">)</span> <span class="sy2">/</span> <span class="nu0">2</span> <span class="sy1">&lt;&lt;</span> <span class="st0">&#39;<span class="es1">\n</span>&#39;</span>
<span class="sy1">&lt;&lt;</span> <span class="st0">&quot;Correct: &quot;</span> <span class="sy1">&lt;&lt;</span> std<span class="sy4">::</span><span class="me2">midpoint</span><span class="br0">(</span>a, b<span class="br0">)</span> <span class="sy1">&lt;&lt;</span> <span class="st0">&quot;<span class="es1">\n</span><span class="es1">\n</span>&quot;</span><span class="sy4">;</span>
<span class="kw4">auto</span> on_pointers <span class="sy1">=</span> <span class="br0">[</span><span class="br0">]</span><span class="br0">(</span><span class="kw4">int</span> i, <span class="kw4">int</span> j<span class="br0">)</span> <span class="br0">{</span>
<span class="kw4">char</span> <span class="kw4">const</span><span class="sy2">*</span> text <span class="sy1">=</span> <span class="st0">&quot;0123456789&quot;</span><span class="sy4">;</span>
<span class="kw4">char</span> <span class="kw4">const</span><span class="sy2">*</span> p <span class="sy1">=</span> text <span class="sy2">+</span> i<span class="sy4">;</span>
<span class="kw4">char</span> <span class="kw4">const</span><span class="sy2">*</span> q <span class="sy1">=</span> text <span class="sy2">+</span> j<span class="sy4">;</span>
<a href="cpp-io-cout.html"><span class="kw1758">std::<span class="me2">cout</span></span></a> <span class="sy1">&lt;&lt;</span> <span class="st0">&quot;std::midpoint(&#39;&quot;</span> <span class="sy1">&lt;&lt;</span> <span class="sy2">*</span>p <span class="sy1">&lt;&lt;</span> <span class="st0">&quot;&#39;, &#39;&quot;</span> <span class="sy1">&lt;&lt;</span> <span class="sy2">*</span>q <span class="sy1">&lt;&lt;</span> <span class="st0">&quot;&#39;): &#39;&quot;</span>
<span class="sy1">&lt;&lt;</span> <span class="sy2">*</span>std<span class="sy4">::</span><span class="me2">midpoint</span><span class="br0">(</span>p, q<span class="br0">)</span> <span class="sy1">&lt;&lt;</span> <span class="st0">&quot;&#39;<span class="es1">\n</span>&quot;</span><span class="sy4">;</span>
<span class="br0">}</span><span class="sy4">;</span>
on_pointers<span class="br0">(</span><span class="nu0">2</span>, <span class="nu0">4</span><span class="br0">)</span><span class="sy4">;</span>
on_pointers<span class="br0">(</span><span class="nu0">2</span>, <span class="nu0">5</span><span class="br0">)</span><span class="sy4">;</span>
on_pointers<span class="br0">(</span><span class="nu0">5</span>, <span class="nu0">2</span><span class="br0">)</span><span class="sy4">;</span>
on_pointers<span class="br0">(</span><span class="nu0">2</span>, <span class="nu0">6</span><span class="br0">)</span><span class="sy4">;</span>
<span class="br0">}</span></pre></div>
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<p>&#36755;&#20986;&#65306;</p>
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<pre class="de1">a: 4294967295
b: 4294967293
Incorrect (overflow and wrapping): 2147483646
Correct: 4294967294
std::midpoint(&#39;2&#39;, &#39;4&#39;): &#39;3&#39;
std::midpoint(&#39;2&#39;, &#39;5&#39;): &#39;3&#39;
std::midpoint(&#39;5&#39;, &#39;2&#39;): &#39;4&#39;
std::midpoint(&#39;2&#39;, &#39;6&#39;): &#39;4&#39;</pre></div>
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<h3><span class="mw-headline" id=".E5.BC.95.E7.94.A8">&#24341;&#29992;</span></h3>
<div class="t-ref-std-c++20">
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<li>C++20 &#26631;&#20934;&#65288;ISO/IEC 14882:2020&#65289;&#65306;</li>
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<li>25.10.15 Midpoint [numeric.ops.midpoint]</li>
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<h3><span class="mw-headline" id=".E5.8F.82.E9.98.85">&#21442;&#38405;</span></h3>
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<div><a href="cpp-numeric-lerp.html"><span class="t-lines"><span>lerp</span></span></a></div>
<div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx20">(C++20)</span></span></span></div>
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<td>&#32447;&#24615;&#25554;&#20540;&#20989;&#25968;<br />
<span class="t-mark">(&#20989;&#25968;)</span></td>
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