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<div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">// vi:set ft=cpp: -*- Mode: C++ -*-</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment">/*</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="comment"> * (c) 2008-2009 Alexander Warg &lt;warg@os.inf.tu-dresden.de&gt;</span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment"> * economic rights: Technische Universität Dresden (Germany)</span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment"> *</span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment"> * License: see LICENSE.spdx (in this directory or the directories above)</span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment"> */</span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span> </div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="preprocessor">#pragma once</span></div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span> </div>
<div class="foldopen" id="foldopen00011" data-start="{" data-end="}">
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"><a class="line" href="namespacecxx.html"> 11</a></span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespacecxx.html">cxx</a> { <span class="keyword">namespace </span>arith {</div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span></div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> N, <span class="keyword">typename</span> D&gt;</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="keyword">constexpr</span> N</div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span>div_ceil(N <span class="keyword">const</span> &amp;n, D <span class="keyword">const</span> &amp;d)</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span>{</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <span class="comment">// Since C++11 the &quot;quotient is truncated towards zero (fractional part is</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="comment">// discarded)&quot;. Thus a negative quotient is already ceiled, whereas a</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <span class="comment">// positive quotient is floored. Furthermore, since C++11 the sign of the</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="comment">// % operator is no longer implementation defined, thus we can use n % d to</span></div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <span class="comment">// detect if the quotient is positive (n % d &gt;= 0) and was truncated (n % d !=</span></div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="comment">// 0). In that case, we add one to round to the next largest integer.</span></div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="keywordflow">return</span> n / d + (n % d &gt; 0);</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span>}</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span></div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span><span class="keyword">template</span>&lt; <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> V &gt;</div>
<div class="foldopen" id="foldopen00048" data-start="{" data-end="};">
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"><a class="line" href="structcxx_1_1arith_1_1Ld.html"> 48</a></span><span class="keyword">struct </span><a class="code hl_struct" href="structcxx_1_1arith_1_1Ld.html">Ld</a></div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span>{</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="keyword">enum</span> { value = <a class="code hl_struct" href="structcxx_1_1arith_1_1Ld.html">Ld</a>&lt;V / 2&gt;::value + 1 };</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span>};</div>
</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> </div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span><span class="keyword">template</span>&lt;&gt;</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span><span class="keyword">struct </span><a class="code hl_struct" href="structcxx_1_1arith_1_1Ld.html">Ld</a>&lt;0&gt;</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span>{</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keyword">enum</span> { value = ~0UL };</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span>};</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> </div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span><span class="keyword">template</span>&lt;&gt;</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span><span class="keyword">struct </span>Ld&lt;1&gt;</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span>{</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="keyword">enum</span> { value = 0 };</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span>};</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span></div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span><span class="keyword">constexpr</span> <span class="keywordtype">unsigned</span></div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span>log2u(<span class="keywordtype">unsigned</span> val)</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span>{</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="keywordflow">return</span> 8 * <span class="keyword">sizeof</span>(val) - __builtin_clz(val) - 1;</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span>}</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span></div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span><span class="keyword">constexpr</span> <span class="keywordtype">unsigned</span></div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span>log2u(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> val)</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span>{</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="keywordflow">return</span> 8 * <span class="keyword">sizeof</span>(val) - __builtin_clzl(val) - 1;</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span>}</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span></div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span><span class="keyword">constexpr</span> <span class="keywordtype">unsigned</span></div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span>log2u(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <span class="keywordtype">long</span> val)</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span>{</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="keywordflow">return</span> 8 * <span class="keyword">sizeof</span>(val) - __builtin_clzll(val) - 1;</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span>}</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span></div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span><span class="keyword">constexpr</span> <span class="keywordtype">unsigned</span></div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span>log2u_ceil(T val)</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span>{</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="keywordflow">return</span> val == 1 ? 0 : log2u(val - 1) + 1;</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span>}</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> </div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span>}}</div>
</div>
<div class="ttc" id="anamespacecxx_html"><div class="ttname"><a href="namespacecxx.html">cxx</a></div><div class="ttdoc">Our C++ library.</div><div class="ttdef"><b>Definition</b> <a href="#l00011">arith:11</a></div></div>
<div class="ttc" id="astructcxx_1_1arith_1_1Ld_html"><div class="ttname"><a href="structcxx_1_1arith_1_1Ld.html">cxx::arith::Ld</a></div><div class="ttdoc">Computes the binary logarithm of the given number at compile time.</div><div class="ttdef"><b>Definition</b> <a href="#l00048">arith:49</a></div></div>
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