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6269c69d0e
mlx/docs/build/html/binary__ops_8h_source.html
Awni Hannun 6269c69d0e docs update
2025-06-04 01:01:50 +00:00

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<a href="binary__ops_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">// Copyright © 2023-2024 Apple Inc.</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span> </div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="preprocessor">#pragma once</span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span> </div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="preprocessor">#include &lt;metal_integer&gt;</span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="preprocessor">#include &lt;metal_math&gt;</span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span> </div>
<div class="foldopen" id="foldopen00008" data-start="{" data-end="};">
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"><a class="line" href="struct_add.html"> 8</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_add.html">Add</a> {</div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00010" data-start="{" data-end="}">
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"><a class="line" href="struct_add.html#ac5c66b63d63a222d3ae0ab8cc7c90eb5"> 10</a></span> T <a class="code hl_function" href="struct_add.html#ac5c66b63d63a222d3ae0ab8cc7c90eb5">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span> <span class="keywordflow">return</span> x + y;</div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span> }</div>
</div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span>};</div>
</div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span> </div>
<div class="foldopen" id="foldopen00015" data-start="{" data-end="};">
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"><a class="line" href="struct_floor_divide.html"> 15</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_floor_divide.html">FloorDivide</a> {</div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00017" data-start="{" data-end="}">
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"><a class="line" href="struct_floor_divide.html#a2b328e4d768e718fa439f955c524666a"> 17</a></span> T <a class="code hl_function" href="struct_floor_divide.html#a2b328e4d768e718fa439f955c524666a">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> <span class="keywordflow">return</span> x / y;</div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> }</div>
</div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> <span class="keyword">template</span> &lt;&gt;</div>
<div class="foldopen" id="foldopen00021" data-start="{" data-end="}">
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"><a class="line" href="struct_floor_divide.html#afc16a2b2a745225e0bc95640f3fc0219"> 21</a></span> <span class="keywordtype">float</span> <a class="code hl_function" href="struct_floor_divide.html#afc16a2b2a745225e0bc95640f3fc0219">operator()</a>(<span class="keywordtype">float</span> x, <span class="keywordtype">float</span> y) {</div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> <span class="keywordflow">return</span> trunc(x / y);</div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> }</div>
</div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> <span class="keyword">template</span> &lt;&gt;</div>
<div class="foldopen" id="foldopen00025" data-start="{" data-end="}">
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"><a class="line" href="struct_floor_divide.html#ae91719a15f7e643d552129f476089c6a"> 25</a></span> half <a class="code hl_function" href="struct_floor_divide.html#ae91719a15f7e643d552129f476089c6a">operator()</a>(half x, half y) {</div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> <span class="keywordflow">return</span> trunc(x / y);</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> }</div>
</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <span class="keyword">template</span> &lt;&gt;</div>
<div class="foldopen" id="foldopen00029" data-start="{" data-end="}">
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"><a class="line" href="struct_floor_divide.html#a4aa9f858626583e02bd79f747229bbca"> 29</a></span> <a class="code hl_struct" href="struct___m_l_x___b_float16.html">bfloat16_t</a> <a class="code hl_function" href="struct_floor_divide.html#a4aa9f858626583e02bd79f747229bbca">operator()</a>(<a class="code hl_struct" href="struct___m_l_x___b_float16.html">bfloat16_t</a> x, <a class="code hl_struct" href="struct___m_l_x___b_float16.html">bfloat16_t</a> y) {</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> <span class="keywordflow">return</span> trunc(x / y);</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> }</div>
</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span>};</div>
</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> </div>
<div class="foldopen" id="foldopen00034" data-start="{" data-end="};">
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"><a class="line" href="struct_divide.html"> 34</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_divide.html">Divide</a> {</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00036" data-start="{" data-end="}">
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"><a class="line" href="struct_divide.html#a0a16b9194abc2ab7c61129f81a9bbb3d"> 36</a></span> T <a class="code hl_function" href="struct_divide.html#a0a16b9194abc2ab7c61129f81a9bbb3d">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="keywordflow">return</span> x / y;</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> }</div>
</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span>};</div>
</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> </div>
<div class="foldopen" id="foldopen00041" data-start="{" data-end="};">
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"><a class="line" href="struct_remainder.html"> 41</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_remainder.html">Remainder</a> {</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> metal::enable_if_t&lt;metal::is_integral_v&lt;T&gt; &amp; !metal::is_signed_v&lt;T&gt;, T&gt;</div>
<div class="foldopen" id="foldopen00044" data-start="{" data-end="}">
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"><a class="line" href="struct_remainder.html#ab7875512ff4341c580c6dc372e64fc58"> 44</a></span> <a class="code hl_function" href="struct_remainder.html#ab7875512ff4341c580c6dc372e64fc58">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keywordflow">return</span> x % y;</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> }</div>
</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> metal::enable_if_t&lt;metal::is_integral_v&lt;T&gt; &amp; metal::is_signed_v&lt;T&gt;, T&gt;</div>
<div class="foldopen" id="foldopen00049" data-start="{" data-end="}">
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"><a class="line" href="struct_remainder.html#a18150b5f4425e30b95ffabc6bb25cede"> 49</a></span> <a class="code hl_function" href="struct_remainder.html#a18150b5f4425e30b95ffabc6bb25cede">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="keyword">auto</span> r = x % y;</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <span class="keywordflow">if</span> (r != 0 &amp;&amp; (r &lt; 0 != y &lt; 0)) {</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> r += y;</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> }</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keywordflow">return</span> r;</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> }</div>
</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00057" data-start="{" data-end="}">
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"><a class="line" href="struct_remainder.html#ab3b75f54b56fd357c9755daadb2cafc2"> 57</a></span> metal::enable_if_t&lt;!metal::is_integral_v&lt;T&gt;, T&gt; <a class="code hl_function" href="struct_remainder.html#ab3b75f54b56fd357c9755daadb2cafc2">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> T r = fmod(x, y);</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keywordflow">if</span> (r != 0 &amp;&amp; (r &lt; 0 != y &lt; 0)) {</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> r += y;</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="keywordflow">return</span> r;</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> }</div>
</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="keyword">template</span> &lt;&gt;</div>
<div class="foldopen" id="foldopen00065" data-start="{" data-end="}">
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"><a class="line" href="struct_remainder.html#ae918ce0e246937d4fe04e2ea36e4b2c1"> 65</a></span> <a class="code hl_struct" href="structcomplex64__t.html">complex64_t</a> <a class="code hl_function" href="struct_remainder.html#ae918ce0e246937d4fe04e2ea36e4b2c1">operator()</a>(<a class="code hl_struct" href="structcomplex64__t.html">complex64_t</a> x, <a class="code hl_struct" href="structcomplex64__t.html">complex64_t</a> y) {</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keywordflow">return</span> x % y;</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> }</div>
</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span>};</div>
</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> </div>
<div class="foldopen" id="foldopen00070" data-start="{" data-end="};">
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"><a class="line" href="struct_equal.html"> 70</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_equal.html">Equal</a> {</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00072" data-start="{" data-end="}">
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"><a class="line" href="struct_equal.html#aa498087080900d4428ba428a6496a769"> 72</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="struct_equal.html#aa498087080900d4428ba428a6496a769">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="keywordflow">return</span> x == y;</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> }</div>
</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span>};</div>
</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> </div>
<div class="foldopen" id="foldopen00077" data-start="{" data-end="};">
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"><a class="line" href="struct_na_n_equal.html"> 77</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_na_n_equal.html">NaNEqual</a> {</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00079" data-start="{" data-end="}">
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"><a class="line" href="struct_na_n_equal.html#a00220898e02db656d21dde9e9354a8dc"> 79</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="struct_na_n_equal.html#a00220898e02db656d21dde9e9354a8dc">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keywordflow">return</span> x == y || (<a class="code hl_function" href="namespacemetal.html#a83320ba983d90dd1fa5847b6940dc0bb">metal::isnan</a>(x) &amp;&amp; <a class="code hl_function" href="namespacemetal.html#a83320ba983d90dd1fa5847b6940dc0bb">metal::isnan</a>(y));</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> }</div>
</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="keyword">template</span> &lt;&gt;</div>
<div class="foldopen" id="foldopen00083" data-start="{" data-end="}">
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"><a class="line" href="struct_na_n_equal.html#a6185e4554dce5b4659d21673c576be51"> 83</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="struct_na_n_equal.html#a6185e4554dce5b4659d21673c576be51">operator()</a>(<a class="code hl_struct" href="structcomplex64__t.html">complex64_t</a> x, <a class="code hl_struct" href="structcomplex64__t.html">complex64_t</a> y) {</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keywordflow">return</span> x == y ||</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> (<a class="code hl_function" href="namespacemetal.html#a83320ba983d90dd1fa5847b6940dc0bb">metal::isnan</a>(x.<a class="code hl_variable" href="structcomplex64__t.html#abbd4a0092eca9f112c1c5ae1a133a27e">real</a>) &amp;&amp; <a class="code hl_function" href="namespacemetal.html#a83320ba983d90dd1fa5847b6940dc0bb">metal::isnan</a>(y.<a class="code hl_variable" href="structcomplex64__t.html#abbd4a0092eca9f112c1c5ae1a133a27e">real</a>) &amp;&amp; <a class="code hl_function" href="namespacemetal.html#a83320ba983d90dd1fa5847b6940dc0bb">metal::isnan</a>(x.<a class="code hl_variable" href="structcomplex64__t.html#a94037c0cf8451aaff7cb4d154a8426de">imag</a>) &amp;&amp;</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <a class="code hl_function" href="namespacemetal.html#a83320ba983d90dd1fa5847b6940dc0bb">metal::isnan</a>(y.<a class="code hl_variable" href="structcomplex64__t.html#a94037c0cf8451aaff7cb4d154a8426de">imag</a>)) ||</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> (x.<a class="code hl_variable" href="structcomplex64__t.html#abbd4a0092eca9f112c1c5ae1a133a27e">real</a> == y.<a class="code hl_variable" href="structcomplex64__t.html#abbd4a0092eca9f112c1c5ae1a133a27e">real</a> &amp;&amp; <a class="code hl_function" href="namespacemetal.html#a83320ba983d90dd1fa5847b6940dc0bb">metal::isnan</a>(x.<a class="code hl_variable" href="structcomplex64__t.html#a94037c0cf8451aaff7cb4d154a8426de">imag</a>) &amp;&amp; <a class="code hl_function" href="namespacemetal.html#a83320ba983d90dd1fa5847b6940dc0bb">metal::isnan</a>(y.<a class="code hl_variable" href="structcomplex64__t.html#a94037c0cf8451aaff7cb4d154a8426de">imag</a>)) ||</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> (<a class="code hl_function" href="namespacemetal.html#a83320ba983d90dd1fa5847b6940dc0bb">metal::isnan</a>(x.<a class="code hl_variable" href="structcomplex64__t.html#abbd4a0092eca9f112c1c5ae1a133a27e">real</a>) &amp;&amp; <a class="code hl_function" href="namespacemetal.html#a83320ba983d90dd1fa5847b6940dc0bb">metal::isnan</a>(y.<a class="code hl_variable" href="structcomplex64__t.html#abbd4a0092eca9f112c1c5ae1a133a27e">real</a>) &amp;&amp; x.<a class="code hl_variable" href="structcomplex64__t.html#a94037c0cf8451aaff7cb4d154a8426de">imag</a> == y.<a class="code hl_variable" href="structcomplex64__t.html#a94037c0cf8451aaff7cb4d154a8426de">imag</a>);</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> }</div>
</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span>};</div>
</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> </div>
<div class="foldopen" id="foldopen00092" data-start="{" data-end="};">
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"><a class="line" href="struct_greater.html"> 92</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_greater.html">Greater</a> {</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00094" data-start="{" data-end="}">
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"><a class="line" href="struct_greater.html#a98d7d8ee360cd0f469c6eb9a017560f5"> 94</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="struct_greater.html#a98d7d8ee360cd0f469c6eb9a017560f5">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="keywordflow">return</span> x &gt; y;</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> }</div>
</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span>};</div>
</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> </div>
<div class="foldopen" id="foldopen00099" data-start="{" data-end="};">
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"><a class="line" href="struct_greater_equal.html"> 99</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_greater_equal.html">GreaterEqual</a> {</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="foldopen" id="foldopen00101" data-start="{" data-end="}">
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"><a class="line" href="struct_greater_equal.html#ae69a3bccc567a46506cf0d296294ce80"> 101</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="struct_greater_equal.html#ae69a3bccc567a46506cf0d296294ce80">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="keywordflow">return</span> x &gt;= y;</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> }</div>
</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span>};</div>
</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> </div>
<div class="foldopen" id="foldopen00106" data-start="{" data-end="};">
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"><a class="line" href="struct_less.html"> 106</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_less.html">Less</a> {</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00108" data-start="{" data-end="}">
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"><a class="line" href="struct_less.html#a5ee0b31b2d9123dc4504f2979a5854d3"> 108</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="struct_less.html#a5ee0b31b2d9123dc4504f2979a5854d3">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <span class="keywordflow">return</span> x &lt; y;</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> }</div>
</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span>};</div>
</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> </div>
<div class="foldopen" id="foldopen00113" data-start="{" data-end="};">
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"><a class="line" href="struct_less_equal.html"> 113</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_less_equal.html">LessEqual</a> {</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00115" data-start="{" data-end="}">
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"><a class="line" href="struct_less_equal.html#ae9f9a1b2eae548977139704f0044acfe"> 115</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="struct_less_equal.html#ae9f9a1b2eae548977139704f0044acfe">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <span class="keywordflow">return</span> x &lt;= y;</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> }</div>
</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span>};</div>
</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> </div>
<div class="foldopen" id="foldopen00120" data-start="{" data-end="};">
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"><a class="line" href="struct_log_add_exp.html"> 120</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_log_add_exp.html">LogAddExp</a> {</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00122" data-start="{" data-end="}">
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"><a class="line" href="struct_log_add_exp.html#ab32417f18e8ff68c15f78aceeb624edf"> 122</a></span> T <a class="code hl_function" href="struct_log_add_exp.html#ab32417f18e8ff68c15f78aceeb624edf">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespacemetal.html#a83320ba983d90dd1fa5847b6940dc0bb">metal::isnan</a>(x) || <a class="code hl_function" href="namespacemetal.html#a83320ba983d90dd1fa5847b6940dc0bb">metal::isnan</a>(y)) {</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="keywordflow">return</span> metal::numeric_limits&lt;T&gt;::quiet_NaN();</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> }</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="keyword">constexpr</span> T inf = metal::numeric_limits&lt;T&gt;::infinity();</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> T maxval = <a class="code hl_function" href="namespacemetal.html#a853c80479ab2264d9c4587c7bcac767b">metal::max</a>(x, y);</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> T minval = <a class="code hl_function" href="namespacemetal.html#a6653b28c9473087141eddce39878d4d3">metal::min</a>(x, y);</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="keywordflow">return</span> (minval == -inf || maxval == inf)</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> ? maxval</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> : (maxval + <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a27c03f2f90ab56db2e4d59559a3d2e9a">log1p</a>(<a class="code hl_function" href="namespacemetal.html#ac2a0b3618d922ac014baac8189d44650">metal::exp</a>(minval - maxval)));</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> };</div>
</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span>};</div>
</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> </div>
<div class="foldopen" id="foldopen00135" data-start="{" data-end="};">
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"><a class="line" href="struct_maximum.html"> 135</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_maximum.html">Maximum</a> {</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00137" data-start="{" data-end="}">
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"><a class="line" href="struct_maximum.html#a3ea0f42bc4cd80b68a98f189f9fa859c"> 137</a></span> metal::enable_if_t&lt;metal::is_integral_v&lt;T&gt;, T&gt; <a class="code hl_function" href="struct_maximum.html#a3ea0f42bc4cd80b68a98f189f9fa859c">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacemetal.html#a853c80479ab2264d9c4587c7bcac767b">metal::max</a>(x, y);</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> }</div>
</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> </div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00142" data-start="{" data-end="}">
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"><a class="line" href="struct_maximum.html#a0bc8fadc87f2c49fc440d625bfc97ca6"> 142</a></span> metal::enable_if_t&lt;!metal::is_integral_v&lt;T&gt;, T&gt; <a class="code hl_function" href="struct_maximum.html#a0bc8fadc87f2c49fc440d625bfc97ca6">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespacemetal.html#a83320ba983d90dd1fa5847b6940dc0bb">metal::isnan</a>(x)) {</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <span class="keywordflow">return</span> x;</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> }</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <span class="keywordflow">return</span> x &gt; y ? x : y;</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> }</div>
</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> </div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <span class="keyword">template</span> &lt;&gt;</div>
<div class="foldopen" id="foldopen00150" data-start="{" data-end="}">
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"><a class="line" href="struct_maximum.html#a907e8793900be5927625377dab199644"> 150</a></span> <a class="code hl_struct" href="structcomplex64__t.html">complex64_t</a> <a class="code hl_function" href="struct_maximum.html#a907e8793900be5927625377dab199644">operator()</a>(<a class="code hl_struct" href="structcomplex64__t.html">complex64_t</a> x, <a class="code hl_struct" href="structcomplex64__t.html">complex64_t</a> y) {</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespacemetal.html#a83320ba983d90dd1fa5847b6940dc0bb">metal::isnan</a>(x.<a class="code hl_variable" href="structcomplex64__t.html#abbd4a0092eca9f112c1c5ae1a133a27e">real</a>) || <a class="code hl_function" href="namespacemetal.html#a83320ba983d90dd1fa5847b6940dc0bb">metal::isnan</a>(x.<a class="code hl_variable" href="structcomplex64__t.html#a94037c0cf8451aaff7cb4d154a8426de">imag</a>)) {</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <span class="keywordflow">return</span> x;</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> }</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> <span class="keywordflow">return</span> x &gt; y ? x : y;</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> }</div>
</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span>};</div>
</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> </div>
<div class="foldopen" id="foldopen00158" data-start="{" data-end="};">
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"><a class="line" href="struct_minimum.html"> 158</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_minimum.html">Minimum</a> {</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00160" data-start="{" data-end="}">
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"><a class="line" href="struct_minimum.html#aa6113dfac3986c0f571fa53f65c5330e"> 160</a></span> metal::enable_if_t&lt;metal::is_integral_v&lt;T&gt;, T&gt; <a class="code hl_function" href="struct_minimum.html#aa6113dfac3986c0f571fa53f65c5330e">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacemetal.html#a6653b28c9473087141eddce39878d4d3">metal::min</a>(x, y);</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> }</div>
</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> </div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00165" data-start="{" data-end="}">
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"><a class="line" href="struct_minimum.html#a0c939921de87ab9c6959238aac81a059"> 165</a></span> metal::enable_if_t&lt;!metal::is_integral_v&lt;T&gt;, T&gt; <a class="code hl_function" href="struct_minimum.html#a0c939921de87ab9c6959238aac81a059">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespacemetal.html#a83320ba983d90dd1fa5847b6940dc0bb">metal::isnan</a>(x)) {</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <span class="keywordflow">return</span> x;</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> }</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> <span class="keywordflow">return</span> x &lt; y ? x : y;</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> }</div>
</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> </div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <span class="keyword">template</span> &lt;&gt;</div>
<div class="foldopen" id="foldopen00173" data-start="{" data-end="}">
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"><a class="line" href="struct_minimum.html#a800fba087280f79c2f7e9aff75bed093"> 173</a></span> <a class="code hl_struct" href="structcomplex64__t.html">complex64_t</a> <a class="code hl_function" href="struct_minimum.html#a800fba087280f79c2f7e9aff75bed093">operator()</a>(<a class="code hl_struct" href="structcomplex64__t.html">complex64_t</a> x, <a class="code hl_struct" href="structcomplex64__t.html">complex64_t</a> y) {</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespacemetal.html#a83320ba983d90dd1fa5847b6940dc0bb">metal::isnan</a>(x.<a class="code hl_variable" href="structcomplex64__t.html#abbd4a0092eca9f112c1c5ae1a133a27e">real</a>) || <a class="code hl_function" href="namespacemetal.html#a83320ba983d90dd1fa5847b6940dc0bb">metal::isnan</a>(x.<a class="code hl_variable" href="structcomplex64__t.html#a94037c0cf8451aaff7cb4d154a8426de">imag</a>)) {</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="keywordflow">return</span> x;</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> }</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> <span class="keywordflow">return</span> x &lt; y ? x : y;</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> }</div>
</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span>};</div>
</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> </div>
<div class="foldopen" id="foldopen00181" data-start="{" data-end="};">
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"><a class="line" href="struct_multiply.html"> 181</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_multiply.html">Multiply</a> {</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00183" data-start="{" data-end="}">
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"><a class="line" href="struct_multiply.html#a1327fc5a0713931afe997b0d4d2988e0"> 183</a></span> T <a class="code hl_function" href="struct_multiply.html#a1327fc5a0713931afe997b0d4d2988e0">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <span class="keywordflow">return</span> x * y;</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> }</div>
</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span>};</div>
</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> </div>
<div class="foldopen" id="foldopen00188" data-start="{" data-end="};">
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"><a class="line" href="struct_not_equal.html"> 188</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_not_equal.html">NotEqual</a> {</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00190" data-start="{" data-end="}">
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"><a class="line" href="struct_not_equal.html#af008d73a5d9cde0b8309b7e8ee7438b2"> 190</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="struct_not_equal.html#af008d73a5d9cde0b8309b7e8ee7438b2">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> <span class="keywordflow">return</span> x != y;</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> }</div>
</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <span class="keyword">template</span> &lt;&gt;</div>
<div class="foldopen" id="foldopen00194" data-start="{" data-end="}">
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"><a class="line" href="struct_not_equal.html#a14de494cea4e4869351202cad1149f17"> 194</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="struct_not_equal.html#a14de494cea4e4869351202cad1149f17">operator()</a>(<a class="code hl_struct" href="structcomplex64__t.html">complex64_t</a> x, <a class="code hl_struct" href="structcomplex64__t.html">complex64_t</a> y) {</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> <span class="keywordflow">return</span> x.<a class="code hl_variable" href="structcomplex64__t.html#abbd4a0092eca9f112c1c5ae1a133a27e">real</a> != y.<a class="code hl_variable" href="structcomplex64__t.html#abbd4a0092eca9f112c1c5ae1a133a27e">real</a> || x.<a class="code hl_variable" href="structcomplex64__t.html#a94037c0cf8451aaff7cb4d154a8426de">imag</a> != y.<a class="code hl_variable" href="structcomplex64__t.html#a94037c0cf8451aaff7cb4d154a8426de">imag</a>;</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> }</div>
</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span>};</div>
</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> </div>
<div class="foldopen" id="foldopen00199" data-start="{" data-end="};">
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"><a class="line" href="struct_power.html"> 199</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_power.html">Power</a> {</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00201" data-start="{" data-end="}">
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"><a class="line" href="struct_power.html#a2b6df2a9e48155ff9734caca8504a79f"> 201</a></span> metal::enable_if_t&lt;!metal::is_integral_v&lt;T&gt;, T&gt; <a class="code hl_function" href="struct_power.html#a2b6df2a9e48155ff9734caca8504a79f">operator()</a>(T base, T exp) {</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacemetal.html#acd288d4552215bd10455584a214c57b8">metal::pow</a>(base, exp);</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> }</div>
</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> </div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00206" data-start="{" data-end="}">
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"><a class="line" href="struct_power.html#a36829163d42973034a1f8a7ecc57a1de"> 206</a></span> metal::enable_if_t&lt;metal::is_integral_v&lt;T&gt;, T&gt; <a class="code hl_function" href="struct_power.html#a36829163d42973034a1f8a7ecc57a1de">operator()</a>(T base, T exp) {</div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> T res = 1;</div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> <span class="keywordflow">while</span> (exp) {</div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> <span class="keywordflow">if</span> (exp &amp; 1) {</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> res *= base;</div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> }</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> exp &gt;&gt;= 1;</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> base *= base;</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> }</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> <span class="keywordflow">return</span> res;</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> }</div>
</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> </div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> <span class="keyword">template</span> &lt;&gt;</div>
<div class="foldopen" id="foldopen00219" data-start="{" data-end="}">
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"><a class="line" href="struct_power.html#a27cdfb313c4e82b63bdcdaee923cbbef"> 219</a></span> <a class="code hl_struct" href="structcomplex64__t.html">complex64_t</a> <a class="code hl_function" href="struct_power.html#a27cdfb313c4e82b63bdcdaee923cbbef">operator()</a>(<a class="code hl_struct" href="structcomplex64__t.html">complex64_t</a> x, <a class="code hl_struct" href="structcomplex64__t.html">complex64_t</a> y) {</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> <span class="keyword">auto</span> x_theta = <a class="code hl_function" href="namespacemetal.html#a80a771553d9a0012b93620d19c48b00f">metal::atan</a>(x.<a class="code hl_variable" href="structcomplex64__t.html#a94037c0cf8451aaff7cb4d154a8426de">imag</a> / x.<a class="code hl_variable" href="structcomplex64__t.html#abbd4a0092eca9f112c1c5ae1a133a27e">real</a>);</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> <span class="keyword">auto</span> x_ln_r = 0.5 * <a class="code hl_function" href="namespacemetal.html#a423a9f4f2fc7ef5ec7eda061277b51b6">metal::log</a>(x.<a class="code hl_variable" href="structcomplex64__t.html#abbd4a0092eca9f112c1c5ae1a133a27e">real</a> * x.<a class="code hl_variable" href="structcomplex64__t.html#abbd4a0092eca9f112c1c5ae1a133a27e">real</a> + x.<a class="code hl_variable" href="structcomplex64__t.html#a94037c0cf8451aaff7cb4d154a8426de">imag</a> * x.<a class="code hl_variable" href="structcomplex64__t.html#a94037c0cf8451aaff7cb4d154a8426de">imag</a>);</div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> <span class="keyword">auto</span> mag = <a class="code hl_function" href="namespacemetal.html#ac2a0b3618d922ac014baac8189d44650">metal::exp</a>(y.<a class="code hl_variable" href="structcomplex64__t.html#abbd4a0092eca9f112c1c5ae1a133a27e">real</a> * x_ln_r - y.<a class="code hl_variable" href="structcomplex64__t.html#a94037c0cf8451aaff7cb4d154a8426de">imag</a> * x_theta);</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> <span class="keyword">auto</span> phase = y.<a class="code hl_variable" href="structcomplex64__t.html#a94037c0cf8451aaff7cb4d154a8426de">imag</a> * x_ln_r + y.<a class="code hl_variable" href="structcomplex64__t.html#abbd4a0092eca9f112c1c5ae1a133a27e">real</a> * x_theta;</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> <span class="keywordflow">return</span> {mag * <a class="code hl_function" href="namespacemetal.html#a2fa4778a6fe2fa43253ea724e5a608a3">metal::cos</a>(phase), mag * <a class="code hl_function" href="namespacemetal.html#a619a159ca5f2ddfe3647d3a6bb6e804c">metal::sin</a>(phase)};</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> }</div>
</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span>};</div>
</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> </div>
<div class="foldopen" id="foldopen00228" data-start="{" data-end="};">
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"><a class="line" href="struct_subtract.html"> 228</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_subtract.html">Subtract</a> {</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00230" data-start="{" data-end="}">
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"><a class="line" href="struct_subtract.html#ae0856cd8d449074ca287baa7e460f68a"> 230</a></span> T <a class="code hl_function" href="struct_subtract.html#ae0856cd8d449074ca287baa7e460f68a">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> <span class="keywordflow">return</span> x - y;</div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> }</div>
</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span>};</div>
</div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> </div>
<div class="foldopen" id="foldopen00235" data-start="{" data-end="};">
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"><a class="line" href="struct_logical_and.html"> 235</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_logical_and.html">LogicalAnd</a> {</div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00237" data-start="{" data-end="}">
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"><a class="line" href="struct_logical_and.html#a8bc6bdabc0ea0678a46e2cf6217cb3a6"> 237</a></span> T <a class="code hl_function" href="struct_logical_and.html#a8bc6bdabc0ea0678a46e2cf6217cb3a6">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> <span class="keywordflow">return</span> x &amp;&amp; y;</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> };</div>
</div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span>};</div>
</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> </div>
<div class="foldopen" id="foldopen00242" data-start="{" data-end="};">
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"><a class="line" href="struct_logical_or.html"> 242</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_logical_or.html">LogicalOr</a> {</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00244" data-start="{" data-end="}">
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"><a class="line" href="struct_logical_or.html#ade6a931324a604a3119d2220d6f5460d"> 244</a></span> T <a class="code hl_function" href="struct_logical_or.html#ade6a931324a604a3119d2220d6f5460d">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> <span class="keywordflow">return</span> x || y;</div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> };</div>
</div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span>};</div>
</div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> </div>
<div class="foldopen" id="foldopen00249" data-start="{" data-end="};">
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"><a class="line" href="struct_bitwise_and.html"> 249</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_bitwise_and.html">BitwiseAnd</a> {</div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00251" data-start="{" data-end="}">
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"><a class="line" href="struct_bitwise_and.html#afb48af090b01dd0200963bc12d842e36"> 251</a></span> T <a class="code hl_function" href="struct_bitwise_and.html#afb48af090b01dd0200963bc12d842e36">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> <span class="keywordflow">return</span> x &amp; y;</div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> };</div>
</div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span>};</div>
</div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> </div>
<div class="foldopen" id="foldopen00256" data-start="{" data-end="};">
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"><a class="line" href="struct_bitwise_or.html"> 256</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_bitwise_or.html">BitwiseOr</a> {</div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00258" data-start="{" data-end="}">
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"><a class="line" href="struct_bitwise_or.html#a41f847463daafa99ee56f4035578390f"> 258</a></span> T <a class="code hl_function" href="struct_bitwise_or.html#a41f847463daafa99ee56f4035578390f">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> <span class="keywordflow">return</span> x | y;</div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> };</div>
</div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span>};</div>
</div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> </div>
<div class="foldopen" id="foldopen00263" data-start="{" data-end="};">
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"><a class="line" href="struct_bitwise_xor.html"> 263</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_bitwise_xor.html">BitwiseXor</a> {</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00265" data-start="{" data-end="}">
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"><a class="line" href="struct_bitwise_xor.html#a3a3e8a56caab739d40262d9349c9c485"> 265</a></span> T <a class="code hl_function" href="struct_bitwise_xor.html#a3a3e8a56caab739d40262d9349c9c485">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> <span class="keywordflow">return</span> x ^ y;</div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> };</div>
</div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span>};</div>
</div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> </div>
<div class="foldopen" id="foldopen00270" data-start="{" data-end="};">
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"><a class="line" href="struct_left_shift.html"> 270</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_left_shift.html">LeftShift</a> {</div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00272" data-start="{" data-end="}">
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"><a class="line" href="struct_left_shift.html#aa729747784c38bfdbba34794fcf5175b"> 272</a></span> T <a class="code hl_function" href="struct_left_shift.html#aa729747784c38bfdbba34794fcf5175b">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> <span class="keywordflow">return</span> x &lt;&lt; y;</div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> };</div>
</div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span>};</div>
</div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> </div>
<div class="foldopen" id="foldopen00277" data-start="{" data-end="};">
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"><a class="line" href="struct_right_shift.html"> 277</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_right_shift.html">RightShift</a> {</div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00279" data-start="{" data-end="}">
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"><a class="line" href="struct_right_shift.html#a2cc59b400c68342b0e43050431323c17"> 279</a></span> T <a class="code hl_function" href="struct_right_shift.html#a2cc59b400c68342b0e43050431323c17">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> <span class="keywordflow">return</span> x &gt;&gt; y;</div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> };</div>
</div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span>};</div>
</div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> </div>
<div class="foldopen" id="foldopen00284" data-start="{" data-end="};">
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"><a class="line" href="struct_arc_tan2.html"> 284</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_arc_tan2.html">ArcTan2</a> {</div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00286" data-start="{" data-end="}">
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"><a class="line" href="struct_arc_tan2.html#ac9b7729753e13be293ab700231d061ac"> 286</a></span> T <a class="code hl_function" href="struct_arc_tan2.html#ac9b7729753e13be293ab700231d061ac">operator()</a>(T y, T x) {</div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacemetal_1_1precise.html#a6f161b049cc6884f87b09b33c2d1cd7f">metal::precise::atan2</a>(y, x);</div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> }</div>
</div>
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span>};</div>
</div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> </div>
<div class="foldopen" id="foldopen00291" data-start="{" data-end="};">
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"><a class="line" href="struct_div_mod.html"> 291</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_div_mod.html">DivMod</a> {</div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00293" data-start="{" data-end="}">
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"><a class="line" href="struct_div_mod.html#a8b5758f2ea18d4c903b462331b25abfe"> 293</a></span> metal::array&lt;T, 2&gt; <a class="code hl_function" href="struct_div_mod.html#a8b5758f2ea18d4c903b462331b25abfe">operator()</a>(T x, T y) {</div>
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> <span class="keywordflow">return</span> {<a class="code hl_struct" href="struct_floor_divide.html">FloorDivide</a>{}(x, y), <a class="code hl_struct" href="struct_remainder.html">Remainder</a>{}(x, y)};</div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> };</div>
</div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span>};</div>
</div>
<div class="ttc" id="abackend_2metal_2kernels_2utils_8h_html_a27c03f2f90ab56db2e4d59559a3d2e9a"><div class="ttname"><a href="backend_2metal_2kernels_2utils_8h.html#a27c03f2f90ab56db2e4d59559a3d2e9a">log1p</a></div><div class="ttdeci">float log1p(float x)</div><div class="ttdef"><b>Definition</b> utils.h:301</div></div>
<div class="ttc" id="anamespacemetal_1_1precise_html_a6f161b049cc6884f87b09b33c2d1cd7f"><div class="ttname"><a href="namespacemetal_1_1precise.html#a6f161b049cc6884f87b09b33c2d1cd7f">metal::precise::atan2</a></div><div class="ttdeci">METAL_FUNC bfloat16_t atan2(bfloat16_t y, bfloat16_t x)</div><div class="ttdef"><b>Definition</b> bf16_math.h:252</div></div>
<div class="ttc" id="anamespacemetal_html_a2fa4778a6fe2fa43253ea724e5a608a3"><div class="ttname"><a href="namespacemetal.html#a2fa4778a6fe2fa43253ea724e5a608a3">metal::cos</a></div><div class="ttdeci">METAL_FUNC bfloat16_t cos(bfloat16_t x)</div><div class="ttdef"><b>Definition</b> bf16_math.h:234</div></div>
<div class="ttc" id="anamespacemetal_html_a423a9f4f2fc7ef5ec7eda061277b51b6"><div class="ttname"><a href="namespacemetal.html#a423a9f4f2fc7ef5ec7eda061277b51b6">metal::log</a></div><div class="ttdeci">METAL_FUNC bfloat16_t log(bfloat16_t x)</div><div class="ttdef"><b>Definition</b> bf16_math.h:234</div></div>
<div class="ttc" id="anamespacemetal_html_a619a159ca5f2ddfe3647d3a6bb6e804c"><div class="ttname"><a href="namespacemetal.html#a619a159ca5f2ddfe3647d3a6bb6e804c">metal::sin</a></div><div class="ttdeci">METAL_FUNC bfloat16_t sin(bfloat16_t x)</div><div class="ttdef"><b>Definition</b> bf16_math.h:234</div></div>
<div class="ttc" id="anamespacemetal_html_a6653b28c9473087141eddce39878d4d3"><div class="ttname"><a href="namespacemetal.html#a6653b28c9473087141eddce39878d4d3">metal::min</a></div><div class="ttdeci">METAL_FUNC bfloat16_t min(bfloat16_t x, bfloat16_t y)</div><div class="ttdef"><b>Definition</b> bf16_math.h:234</div></div>
<div class="ttc" id="anamespacemetal_html_a80a771553d9a0012b93620d19c48b00f"><div class="ttname"><a href="namespacemetal.html#a80a771553d9a0012b93620d19c48b00f">metal::atan</a></div><div class="ttdeci">METAL_FUNC bfloat16_t atan(bfloat16_t y_over_x)</div><div class="ttdef"><b>Definition</b> bf16_math.h:234</div></div>
<div class="ttc" id="anamespacemetal_html_a83320ba983d90dd1fa5847b6940dc0bb"><div class="ttname"><a href="namespacemetal.html#a83320ba983d90dd1fa5847b6940dc0bb">metal::isnan</a></div><div class="ttdeci">METAL_FUNC bool isnan(_MLX_BFloat16 x)</div><div class="ttdef"><b>Definition</b> bf16.h:307</div></div>
<div class="ttc" id="anamespacemetal_html_a853c80479ab2264d9c4587c7bcac767b"><div class="ttname"><a href="namespacemetal.html#a853c80479ab2264d9c4587c7bcac767b">metal::max</a></div><div class="ttdeci">METAL_FUNC bfloat16_t max(bfloat16_t x, bfloat16_t y)</div><div class="ttdef"><b>Definition</b> bf16_math.h:234</div></div>
<div class="ttc" id="anamespacemetal_html_ac2a0b3618d922ac014baac8189d44650"><div class="ttname"><a href="namespacemetal.html#ac2a0b3618d922ac014baac8189d44650">metal::exp</a></div><div class="ttdeci">METAL_FUNC bfloat16_t exp(bfloat16_t x)</div><div class="ttdef"><b>Definition</b> bf16_math.h:234</div></div>
<div class="ttc" id="anamespacemetal_html_acd288d4552215bd10455584a214c57b8"><div class="ttname"><a href="namespacemetal.html#acd288d4552215bd10455584a214c57b8">metal::pow</a></div><div class="ttdeci">METAL_FUNC bfloat16_t pow(bfloat16_t x, bfloat16_t y)</div><div class="ttdef"><b>Definition</b> bf16_math.h:234</div></div>
<div class="ttc" id="astruct___m_l_x___b_float16_html"><div class="ttname"><a href="struct___m_l_x___b_float16.html">_MLX_BFloat16</a></div><div class="ttdef"><b>Definition</b> bf16.h:54</div></div>
<div class="ttc" id="astruct_add_html"><div class="ttname"><a href="struct_add.html">Add</a></div><div class="ttdef"><b>Definition</b> binary_ops.h:8</div></div>
<div class="ttc" id="astruct_add_html_ac5c66b63d63a222d3ae0ab8cc7c90eb5"><div class="ttname"><a href="struct_add.html#ac5c66b63d63a222d3ae0ab8cc7c90eb5">Add::operator()</a></div><div class="ttdeci">T operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:10</div></div>
<div class="ttc" id="astruct_arc_tan2_html"><div class="ttname"><a href="struct_arc_tan2.html">ArcTan2</a></div><div class="ttdef"><b>Definition</b> binary_ops.h:284</div></div>
<div class="ttc" id="astruct_arc_tan2_html_ac9b7729753e13be293ab700231d061ac"><div class="ttname"><a href="struct_arc_tan2.html#ac9b7729753e13be293ab700231d061ac">ArcTan2::operator()</a></div><div class="ttdeci">T operator()(T y, T x)</div><div class="ttdef"><b>Definition</b> binary_ops.h:286</div></div>
<div class="ttc" id="astruct_bitwise_and_html"><div class="ttname"><a href="struct_bitwise_and.html">BitwiseAnd</a></div><div class="ttdef"><b>Definition</b> binary_ops.h:249</div></div>
<div class="ttc" id="astruct_bitwise_and_html_afb48af090b01dd0200963bc12d842e36"><div class="ttname"><a href="struct_bitwise_and.html#afb48af090b01dd0200963bc12d842e36">BitwiseAnd::operator()</a></div><div class="ttdeci">T operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:251</div></div>
<div class="ttc" id="astruct_bitwise_or_html"><div class="ttname"><a href="struct_bitwise_or.html">BitwiseOr</a></div><div class="ttdef"><b>Definition</b> binary_ops.h:256</div></div>
<div class="ttc" id="astruct_bitwise_or_html_a41f847463daafa99ee56f4035578390f"><div class="ttname"><a href="struct_bitwise_or.html#a41f847463daafa99ee56f4035578390f">BitwiseOr::operator()</a></div><div class="ttdeci">T operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:258</div></div>
<div class="ttc" id="astruct_bitwise_xor_html"><div class="ttname"><a href="struct_bitwise_xor.html">BitwiseXor</a></div><div class="ttdef"><b>Definition</b> binary_ops.h:263</div></div>
<div class="ttc" id="astruct_bitwise_xor_html_a3a3e8a56caab739d40262d9349c9c485"><div class="ttname"><a href="struct_bitwise_xor.html#a3a3e8a56caab739d40262d9349c9c485">BitwiseXor::operator()</a></div><div class="ttdeci">T operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:265</div></div>
<div class="ttc" id="astruct_div_mod_html"><div class="ttname"><a href="struct_div_mod.html">DivMod</a></div><div class="ttdef"><b>Definition</b> binary_ops.h:291</div></div>
<div class="ttc" id="astruct_div_mod_html_a8b5758f2ea18d4c903b462331b25abfe"><div class="ttname"><a href="struct_div_mod.html#a8b5758f2ea18d4c903b462331b25abfe">DivMod::operator()</a></div><div class="ttdeci">metal::array&lt; T, 2 &gt; operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:293</div></div>
<div class="ttc" id="astruct_divide_html"><div class="ttname"><a href="struct_divide.html">Divide</a></div><div class="ttdef"><b>Definition</b> binary_ops.h:34</div></div>
<div class="ttc" id="astruct_divide_html_a0a16b9194abc2ab7c61129f81a9bbb3d"><div class="ttname"><a href="struct_divide.html#a0a16b9194abc2ab7c61129f81a9bbb3d">Divide::operator()</a></div><div class="ttdeci">T operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:36</div></div>
<div class="ttc" id="astruct_equal_html"><div class="ttname"><a href="struct_equal.html">Equal</a></div><div class="ttdef"><b>Definition</b> binary_ops.h:70</div></div>
<div class="ttc" id="astruct_equal_html_aa498087080900d4428ba428a6496a769"><div class="ttname"><a href="struct_equal.html#aa498087080900d4428ba428a6496a769">Equal::operator()</a></div><div class="ttdeci">bool operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:72</div></div>
<div class="ttc" id="astruct_floor_divide_html"><div class="ttname"><a href="struct_floor_divide.html">FloorDivide</a></div><div class="ttdef"><b>Definition</b> binary_ops.h:15</div></div>
<div class="ttc" id="astruct_floor_divide_html_a2b328e4d768e718fa439f955c524666a"><div class="ttname"><a href="struct_floor_divide.html#a2b328e4d768e718fa439f955c524666a">FloorDivide::operator()</a></div><div class="ttdeci">T operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:17</div></div>
<div class="ttc" id="astruct_floor_divide_html_a4aa9f858626583e02bd79f747229bbca"><div class="ttname"><a href="struct_floor_divide.html#a4aa9f858626583e02bd79f747229bbca">FloorDivide::operator()</a></div><div class="ttdeci">bfloat16_t operator()(bfloat16_t x, bfloat16_t y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:29</div></div>
<div class="ttc" id="astruct_floor_divide_html_ae91719a15f7e643d552129f476089c6a"><div class="ttname"><a href="struct_floor_divide.html#ae91719a15f7e643d552129f476089c6a">FloorDivide::operator()</a></div><div class="ttdeci">half operator()(half x, half y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:25</div></div>
<div class="ttc" id="astruct_floor_divide_html_afc16a2b2a745225e0bc95640f3fc0219"><div class="ttname"><a href="struct_floor_divide.html#afc16a2b2a745225e0bc95640f3fc0219">FloorDivide::operator()</a></div><div class="ttdeci">float operator()(float x, float y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:21</div></div>
<div class="ttc" id="astruct_greater_equal_html"><div class="ttname"><a href="struct_greater_equal.html">GreaterEqual</a></div><div class="ttdef"><b>Definition</b> binary_ops.h:99</div></div>
<div class="ttc" id="astruct_greater_equal_html_ae69a3bccc567a46506cf0d296294ce80"><div class="ttname"><a href="struct_greater_equal.html#ae69a3bccc567a46506cf0d296294ce80">GreaterEqual::operator()</a></div><div class="ttdeci">bool operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:101</div></div>
<div class="ttc" id="astruct_greater_html"><div class="ttname"><a href="struct_greater.html">Greater</a></div><div class="ttdef"><b>Definition</b> binary_ops.h:92</div></div>
<div class="ttc" id="astruct_greater_html_a98d7d8ee360cd0f469c6eb9a017560f5"><div class="ttname"><a href="struct_greater.html#a98d7d8ee360cd0f469c6eb9a017560f5">Greater::operator()</a></div><div class="ttdeci">bool operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:94</div></div>
<div class="ttc" id="astruct_left_shift_html"><div class="ttname"><a href="struct_left_shift.html">LeftShift</a></div><div class="ttdef"><b>Definition</b> binary_ops.h:270</div></div>
<div class="ttc" id="astruct_left_shift_html_aa729747784c38bfdbba34794fcf5175b"><div class="ttname"><a href="struct_left_shift.html#aa729747784c38bfdbba34794fcf5175b">LeftShift::operator()</a></div><div class="ttdeci">T operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:272</div></div>
<div class="ttc" id="astruct_less_equal_html"><div class="ttname"><a href="struct_less_equal.html">LessEqual</a></div><div class="ttdef"><b>Definition</b> binary_ops.h:113</div></div>
<div class="ttc" id="astruct_less_equal_html_ae9f9a1b2eae548977139704f0044acfe"><div class="ttname"><a href="struct_less_equal.html#ae9f9a1b2eae548977139704f0044acfe">LessEqual::operator()</a></div><div class="ttdeci">bool operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:115</div></div>
<div class="ttc" id="astruct_less_html"><div class="ttname"><a href="struct_less.html">Less</a></div><div class="ttdef"><b>Definition</b> binary_ops.h:106</div></div>
<div class="ttc" id="astruct_less_html_a5ee0b31b2d9123dc4504f2979a5854d3"><div class="ttname"><a href="struct_less.html#a5ee0b31b2d9123dc4504f2979a5854d3">Less::operator()</a></div><div class="ttdeci">bool operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:108</div></div>
<div class="ttc" id="astruct_log_add_exp_html"><div class="ttname"><a href="struct_log_add_exp.html">LogAddExp</a></div><div class="ttdef"><b>Definition</b> binary_ops.h:120</div></div>
<div class="ttc" id="astruct_log_add_exp_html_ab32417f18e8ff68c15f78aceeb624edf"><div class="ttname"><a href="struct_log_add_exp.html#ab32417f18e8ff68c15f78aceeb624edf">LogAddExp::operator()</a></div><div class="ttdeci">T operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:122</div></div>
<div class="ttc" id="astruct_logical_and_html"><div class="ttname"><a href="struct_logical_and.html">LogicalAnd</a></div><div class="ttdef"><b>Definition</b> binary_ops.h:235</div></div>
<div class="ttc" id="astruct_logical_and_html_a8bc6bdabc0ea0678a46e2cf6217cb3a6"><div class="ttname"><a href="struct_logical_and.html#a8bc6bdabc0ea0678a46e2cf6217cb3a6">LogicalAnd::operator()</a></div><div class="ttdeci">T operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:237</div></div>
<div class="ttc" id="astruct_logical_or_html"><div class="ttname"><a href="struct_logical_or.html">LogicalOr</a></div><div class="ttdef"><b>Definition</b> binary_ops.h:242</div></div>
<div class="ttc" id="astruct_logical_or_html_ade6a931324a604a3119d2220d6f5460d"><div class="ttname"><a href="struct_logical_or.html#ade6a931324a604a3119d2220d6f5460d">LogicalOr::operator()</a></div><div class="ttdeci">T operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:244</div></div>
<div class="ttc" id="astruct_maximum_html"><div class="ttname"><a href="struct_maximum.html">Maximum</a></div><div class="ttdef"><b>Definition</b> binary_ops.h:135</div></div>
<div class="ttc" id="astruct_maximum_html_a0bc8fadc87f2c49fc440d625bfc97ca6"><div class="ttname"><a href="struct_maximum.html#a0bc8fadc87f2c49fc440d625bfc97ca6">Maximum::operator()</a></div><div class="ttdeci">metal::enable_if_t&lt;!metal::is_integral_v&lt; T &gt;, T &gt; operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:142</div></div>
<div class="ttc" id="astruct_maximum_html_a3ea0f42bc4cd80b68a98f189f9fa859c"><div class="ttname"><a href="struct_maximum.html#a3ea0f42bc4cd80b68a98f189f9fa859c">Maximum::operator()</a></div><div class="ttdeci">metal::enable_if_t&lt; metal::is_integral_v&lt; T &gt;, T &gt; operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:137</div></div>
<div class="ttc" id="astruct_maximum_html_a907e8793900be5927625377dab199644"><div class="ttname"><a href="struct_maximum.html#a907e8793900be5927625377dab199644">Maximum::operator()</a></div><div class="ttdeci">complex64_t operator()(complex64_t x, complex64_t y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:150</div></div>
<div class="ttc" id="astruct_minimum_html"><div class="ttname"><a href="struct_minimum.html">Minimum</a></div><div class="ttdef"><b>Definition</b> binary_ops.h:158</div></div>
<div class="ttc" id="astruct_minimum_html_a0c939921de87ab9c6959238aac81a059"><div class="ttname"><a href="struct_minimum.html#a0c939921de87ab9c6959238aac81a059">Minimum::operator()</a></div><div class="ttdeci">metal::enable_if_t&lt;!metal::is_integral_v&lt; T &gt;, T &gt; operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:165</div></div>
<div class="ttc" id="astruct_minimum_html_a800fba087280f79c2f7e9aff75bed093"><div class="ttname"><a href="struct_minimum.html#a800fba087280f79c2f7e9aff75bed093">Minimum::operator()</a></div><div class="ttdeci">complex64_t operator()(complex64_t x, complex64_t y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:173</div></div>
<div class="ttc" id="astruct_minimum_html_aa6113dfac3986c0f571fa53f65c5330e"><div class="ttname"><a href="struct_minimum.html#aa6113dfac3986c0f571fa53f65c5330e">Minimum::operator()</a></div><div class="ttdeci">metal::enable_if_t&lt; metal::is_integral_v&lt; T &gt;, T &gt; operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:160</div></div>
<div class="ttc" id="astruct_multiply_html"><div class="ttname"><a href="struct_multiply.html">Multiply</a></div><div class="ttdef"><b>Definition</b> binary_ops.h:181</div></div>
<div class="ttc" id="astruct_multiply_html_a1327fc5a0713931afe997b0d4d2988e0"><div class="ttname"><a href="struct_multiply.html#a1327fc5a0713931afe997b0d4d2988e0">Multiply::operator()</a></div><div class="ttdeci">T operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:183</div></div>
<div class="ttc" id="astruct_na_n_equal_html"><div class="ttname"><a href="struct_na_n_equal.html">NaNEqual</a></div><div class="ttdef"><b>Definition</b> binary_ops.h:77</div></div>
<div class="ttc" id="astruct_na_n_equal_html_a00220898e02db656d21dde9e9354a8dc"><div class="ttname"><a href="struct_na_n_equal.html#a00220898e02db656d21dde9e9354a8dc">NaNEqual::operator()</a></div><div class="ttdeci">bool operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:79</div></div>
<div class="ttc" id="astruct_na_n_equal_html_a6185e4554dce5b4659d21673c576be51"><div class="ttname"><a href="struct_na_n_equal.html#a6185e4554dce5b4659d21673c576be51">NaNEqual::operator()</a></div><div class="ttdeci">bool operator()(complex64_t x, complex64_t y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:83</div></div>
<div class="ttc" id="astruct_not_equal_html"><div class="ttname"><a href="struct_not_equal.html">NotEqual</a></div><div class="ttdef"><b>Definition</b> binary_ops.h:188</div></div>
<div class="ttc" id="astruct_not_equal_html_a14de494cea4e4869351202cad1149f17"><div class="ttname"><a href="struct_not_equal.html#a14de494cea4e4869351202cad1149f17">NotEqual::operator()</a></div><div class="ttdeci">bool operator()(complex64_t x, complex64_t y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:194</div></div>
<div class="ttc" id="astruct_not_equal_html_af008d73a5d9cde0b8309b7e8ee7438b2"><div class="ttname"><a href="struct_not_equal.html#af008d73a5d9cde0b8309b7e8ee7438b2">NotEqual::operator()</a></div><div class="ttdeci">bool operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:190</div></div>
<div class="ttc" id="astruct_power_html"><div class="ttname"><a href="struct_power.html">Power</a></div><div class="ttdef"><b>Definition</b> binary_ops.h:199</div></div>
<div class="ttc" id="astruct_power_html_a27cdfb313c4e82b63bdcdaee923cbbef"><div class="ttname"><a href="struct_power.html#a27cdfb313c4e82b63bdcdaee923cbbef">Power::operator()</a></div><div class="ttdeci">complex64_t operator()(complex64_t x, complex64_t y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:219</div></div>
<div class="ttc" id="astruct_power_html_a2b6df2a9e48155ff9734caca8504a79f"><div class="ttname"><a href="struct_power.html#a2b6df2a9e48155ff9734caca8504a79f">Power::operator()</a></div><div class="ttdeci">metal::enable_if_t&lt;!metal::is_integral_v&lt; T &gt;, T &gt; operator()(T base, T exp)</div><div class="ttdef"><b>Definition</b> binary_ops.h:201</div></div>
<div class="ttc" id="astruct_power_html_a36829163d42973034a1f8a7ecc57a1de"><div class="ttname"><a href="struct_power.html#a36829163d42973034a1f8a7ecc57a1de">Power::operator()</a></div><div class="ttdeci">metal::enable_if_t&lt; metal::is_integral_v&lt; T &gt;, T &gt; operator()(T base, T exp)</div><div class="ttdef"><b>Definition</b> binary_ops.h:206</div></div>
<div class="ttc" id="astruct_remainder_html"><div class="ttname"><a href="struct_remainder.html">Remainder</a></div><div class="ttdef"><b>Definition</b> binary_ops.h:41</div></div>
<div class="ttc" id="astruct_remainder_html_a18150b5f4425e30b95ffabc6bb25cede"><div class="ttname"><a href="struct_remainder.html#a18150b5f4425e30b95ffabc6bb25cede">Remainder::operator()</a></div><div class="ttdeci">metal::enable_if_t&lt; metal::is_integral_v&lt; T &gt; &amp;metal::is_signed_v&lt; T &gt;, T &gt; operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:49</div></div>
<div class="ttc" id="astruct_remainder_html_ab3b75f54b56fd357c9755daadb2cafc2"><div class="ttname"><a href="struct_remainder.html#ab3b75f54b56fd357c9755daadb2cafc2">Remainder::operator()</a></div><div class="ttdeci">metal::enable_if_t&lt;!metal::is_integral_v&lt; T &gt;, T &gt; operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:57</div></div>
<div class="ttc" id="astruct_remainder_html_ab7875512ff4341c580c6dc372e64fc58"><div class="ttname"><a href="struct_remainder.html#ab7875512ff4341c580c6dc372e64fc58">Remainder::operator()</a></div><div class="ttdeci">metal::enable_if_t&lt; metal::is_integral_v&lt; T &gt; &amp;!metal::is_signed_v&lt; T &gt;, T &gt; operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:44</div></div>
<div class="ttc" id="astruct_remainder_html_ae918ce0e246937d4fe04e2ea36e4b2c1"><div class="ttname"><a href="struct_remainder.html#ae918ce0e246937d4fe04e2ea36e4b2c1">Remainder::operator()</a></div><div class="ttdeci">complex64_t operator()(complex64_t x, complex64_t y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:65</div></div>
<div class="ttc" id="astruct_right_shift_html"><div class="ttname"><a href="struct_right_shift.html">RightShift</a></div><div class="ttdef"><b>Definition</b> binary_ops.h:277</div></div>
<div class="ttc" id="astruct_right_shift_html_a2cc59b400c68342b0e43050431323c17"><div class="ttname"><a href="struct_right_shift.html#a2cc59b400c68342b0e43050431323c17">RightShift::operator()</a></div><div class="ttdeci">T operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:279</div></div>
<div class="ttc" id="astruct_subtract_html"><div class="ttname"><a href="struct_subtract.html">Subtract</a></div><div class="ttdef"><b>Definition</b> binary_ops.h:228</div></div>
<div class="ttc" id="astruct_subtract_html_ae0856cd8d449074ca287baa7e460f68a"><div class="ttname"><a href="struct_subtract.html#ae0856cd8d449074ca287baa7e460f68a">Subtract::operator()</a></div><div class="ttdeci">T operator()(T x, T y)</div><div class="ttdef"><b>Definition</b> binary_ops.h:230</div></div>
<div class="ttc" id="astructcomplex64__t_html"><div class="ttname"><a href="structcomplex64__t.html">complex64_t</a></div><div class="ttdef"><b>Definition</b> complex.h:20</div></div>
<div class="ttc" id="astructcomplex64__t_html_a94037c0cf8451aaff7cb4d154a8426de"><div class="ttname"><a href="structcomplex64__t.html#a94037c0cf8451aaff7cb4d154a8426de">complex64_t::imag</a></div><div class="ttdeci">float imag</div><div class="ttdef"><b>Definition</b> complex.h:22</div></div>
<div class="ttc" id="astructcomplex64__t_html_abbd4a0092eca9f112c1c5ae1a133a27e"><div class="ttname"><a href="structcomplex64__t.html#abbd4a0092eca9f112c1c5ae1a133a27e">complex64_t::real</a></div><div class="ttdeci">float real</div><div class="ttdef"><b>Definition</b> complex.h:21</div></div>
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