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<a href="kernels_2scan_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="keyword">template</span> &lt;<span class="keyword">typename</span> U&gt;</div>
<div class="foldopen" id="foldopen00004" data-start="{" data-end="};">
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"><a class="line" href="struct_cum_sum.html"> 4</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_cum_sum.html">CumSum</a> {</div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"><a class="line" href="struct_cum_sum.html#a987f7a15eded60081b74abc103d3054b"> 5</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> constant U <a class="code hl_variable" href="struct_cum_sum.html#a987f7a15eded60081b74abc103d3054b">init</a> = <span class="keyword">static_cast&lt;</span>U<span class="keyword">&gt;</span>(0);</div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span> </div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</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_cum_sum.html#aacc713dde086ef04b54abb675131468e"> 8</a></span> U <a class="code hl_function" href="struct_cum_sum.html#aacc713dde086ef04b54abb675131468e">operator()</a>(U a, T b) {</div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span> <span class="keywordflow">return</span> a + b;</div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span> }</div>
</div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span> </div>
<div class="foldopen" id="foldopen00012" data-start="{" data-end="}">
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"><a class="line" href="struct_cum_sum.html#a83342af06f6a700067e3b451636852d6"> 12</a></span> U <a class="code hl_function" href="struct_cum_sum.html#a83342af06f6a700067e3b451636852d6">simd_scan</a>(U x) {</div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> <span class="keywordflow">return</span> simd_prefix_inclusive_sum(x);</div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span> }</div>
</div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> </div>
<div class="foldopen" id="foldopen00016" data-start="{" data-end="}">
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"><a class="line" href="struct_cum_sum.html#a64d1933942de4df2d44dd90e9e5e4460"> 16</a></span> U <a class="code hl_function" href="struct_cum_sum.html#a64d1933942de4df2d44dd90e9e5e4460">simd_exclusive_scan</a>(U x) {</div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> <span class="keywordflow">return</span> simd_prefix_exclusive_sum(x);</div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> }</div>
</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> </div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> U&gt;</div>
<div class="foldopen" id="foldopen00022" data-start="{" data-end="};">
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"><a class="line" href="struct_cum_prod.html"> 22</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_cum_prod.html">CumProd</a> {</div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"><a class="line" href="struct_cum_prod.html#acf2ae2daa84d477b413deea679cab9e5"> 23</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> constant U <a class="code hl_variable" href="struct_cum_prod.html#acf2ae2daa84d477b413deea679cab9e5">init</a> = <span class="keyword">static_cast&lt;</span>U<span class="keyword">&gt;</span>(1.0f);</div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> </div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00026" data-start="{" data-end="}">
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"><a class="line" href="struct_cum_prod.html#af1ffa2672332ca27e287c3ba59c73e1e"> 26</a></span> U <a class="code hl_function" href="struct_cum_prod.html#af1ffa2672332ca27e287c3ba59c73e1e">operator()</a>(U a, T b) {</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> <span class="keywordflow">return</span> a * b;</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> }</div>
</div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> </div>
<div class="foldopen" id="foldopen00030" data-start="{" data-end="}">
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"><a class="line" href="struct_cum_prod.html#a860dbf6146de088d07175bd165b74004"> 30</a></span> U <a class="code hl_function" href="struct_cum_prod.html#a860dbf6146de088d07175bd165b74004">simd_scan</a>(U x) {</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <span class="keywordflow">return</span> simd_prefix_inclusive_product(x);</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_cum_prod.html#a5b0577295853a48856b84fd4f935dff8"> 34</a></span> U <a class="code hl_function" href="struct_cum_prod.html#a5b0577295853a48856b84fd4f935dff8">simd_exclusive_scan</a>(U x) {</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <span class="keywordflow">return</span> simd_prefix_exclusive_product(x);</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> }</div>
</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span>};</div>
</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><span class="keyword">template</span> &lt;&gt;</div>
<div class="foldopen" id="foldopen00040" data-start="{" data-end="};">
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"><a class="line" href="struct_cum_prod_3_01bool_01_4.html"> 40</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_cum_prod.html">CumProd</a>&lt;bool&gt; {</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"><a class="line" href="struct_cum_prod_3_01bool_01_4.html#ae7a8b0ba9e6898356b87b18766e76d2c"> 41</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> constant <span class="keywordtype">bool</span> <a class="code hl_variable" href="struct_cum_prod.html#acf2ae2daa84d477b413deea679cab9e5">init</a> = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> </div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> 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_cum_prod_3_01bool_01_4.html#ad634be0b139d10ce6d21332eef0d936b"> 44</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="struct_cum_prod_3_01bool_01_4.html#ad634be0b139d10ce6d21332eef0d936b">operator()</a>(<span class="keywordtype">bool</span> a, T b) {</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keywordflow">return</span> a &amp; <span class="keyword">static_cast&lt;</span><span class="keywordtype">bool</span><span class="keyword">&gt;</span>(b);</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> </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="struct_cum_prod_3_01bool_01_4.html#abeb5ec4237b330e7219f4e881cf10d7a"> 48</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="struct_cum_prod_3_01bool_01_4.html#abeb5ec4237b330e7219f4e881cf10d7a">simd_scan</a>(<span class="keywordtype">bool</span> x) {</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i &lt;= 16; i *= 2) {</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="keywordtype">bool</span> other = simd_shuffle_up(x, i);</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> x &amp;= other;</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="keywordflow">return</span> x;</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> }</div>
</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> </div>
<div class="foldopen" id="foldopen00056" data-start="{" data-end="}">
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"><a class="line" href="struct_cum_prod_3_01bool_01_4.html#a1a86e9398bae24182b7be0a6577bf223"> 56</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="struct_cum_prod_3_01bool_01_4.html#a1a86e9398bae24182b7be0a6577bf223">simd_exclusive_scan</a>(<span class="keywordtype">bool</span> x) {</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> x = <a class="code hl_function" href="struct_cum_prod.html#a860dbf6146de088d07175bd165b74004">simd_scan</a>(x);</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keywordflow">return</span> simd_shuffle_and_fill_up(x, <a class="code hl_variable" href="struct_cum_prod.html#acf2ae2daa84d477b413deea679cab9e5">init</a>, 1);</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> }</div>
</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span>};</div>
</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">template</span> &lt;<span class="keyword">typename</span> U&gt;</div>
<div class="foldopen" id="foldopen00063" data-start="{" data-end="};">
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"><a class="line" href="struct_cum_max.html"> 63</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_cum_max.html">CumMax</a> {</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"><a class="line" href="struct_cum_max.html#a16480052a2eeb4340e546838aab59cc4"> 64</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> constant U <a class="code hl_variable" href="struct_cum_max.html#a16480052a2eeb4340e546838aab59cc4">init</a> = <a class="code hl_struct" href="struct_limits.html">Limits&lt;U&gt;::min</a>;</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> </div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00067" data-start="{" data-end="}">
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"><a class="line" href="struct_cum_max.html#a781b9b955c5412466da6af6c70d73c06"> 67</a></span> U <a class="code hl_function" href="struct_cum_max.html#a781b9b955c5412466da6af6c70d73c06">operator()</a>(U a, T b) {</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="keywordflow">return</span> (a &gt;= b) ? a : b;</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> }</div>
</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> </div>
<div class="foldopen" id="foldopen00071" data-start="{" data-end="}">
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"><a class="line" href="struct_cum_max.html#adc9ec8bb09b4433d4c2f03022c43d781"> 71</a></span> U <a class="code hl_function" href="struct_cum_max.html#adc9ec8bb09b4433d4c2f03022c43d781">simd_scan</a>(U x) {</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i &lt;= 16; i *= 2) {</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> U other = simd_shuffle_up(x, i);</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> x = (x &gt;= other) ? x : other;</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> }</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="keywordflow">return</span> x;</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> }</div>
</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> </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_cum_max.html#ae11b67aa6c998e9a01615b2a79af4403"> 79</a></span> U <a class="code hl_function" href="struct_cum_max.html#ae11b67aa6c998e9a01615b2a79af4403">simd_exclusive_scan</a>(U x) {</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> x = <a class="code hl_function" href="struct_cum_max.html#adc9ec8bb09b4433d4c2f03022c43d781">simd_scan</a>(x);</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="keywordflow">return</span> simd_shuffle_and_fill_up(x, <a class="code hl_variable" href="struct_cum_max.html#a16480052a2eeb4340e546838aab59cc4">init</a>, 1);</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> }</div>
</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span>};</div>
</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> </div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> U&gt;</div>
<div class="foldopen" id="foldopen00086" data-start="{" data-end="};">
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"><a class="line" href="struct_cum_min.html"> 86</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_cum_min.html">CumMin</a> {</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"><a class="line" href="struct_cum_min.html#a8b67f739c620d0cc194b533190990ab9"> 87</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> constant U <a class="code hl_variable" href="struct_cum_min.html#a8b67f739c620d0cc194b533190990ab9">init</a> = <a class="code hl_struct" href="struct_limits.html">Limits&lt;U&gt;::max</a>;</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="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00090" data-start="{" data-end="}">
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"><a class="line" href="struct_cum_min.html#ae0b8c3761e04fa538d304ca842281a66"> 90</a></span> U <a class="code hl_function" href="struct_cum_min.html#ae0b8c3761e04fa538d304ca842281a66">operator()</a>(U a, T b) {</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="keywordflow">return</span> (a &lt;= b) ? a : b;</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> }</div>
</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> </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_cum_min.html#a0a1005d91b1c90e90e2c6dbd6c296649"> 94</a></span> U <a class="code hl_function" href="struct_cum_min.html#a0a1005d91b1c90e90e2c6dbd6c296649">simd_scan</a>(U x) {</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i &lt;= 16; i *= 2) {</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> U other = simd_shuffle_up(x, i);</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> x = (x &lt;= other) ? x : other;</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> }</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="keywordflow">return</span> x;</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> }</div>
</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> </div>
<div class="foldopen" id="foldopen00102" data-start="{" data-end="}">
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"><a class="line" href="struct_cum_min.html#a83e65017ff33018b585c043fb803773b"> 102</a></span> U <a class="code hl_function" href="struct_cum_min.html#a83e65017ff33018b585c043fb803773b">simd_exclusive_scan</a>(U x) {</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> x = <a class="code hl_function" href="struct_cum_min.html#a0a1005d91b1c90e90e2c6dbd6c296649">simd_scan</a>(x);</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="keywordflow">return</span> simd_shuffle_and_fill_up(x, <a class="code hl_variable" href="struct_cum_min.html#a8b67f739c620d0cc194b533190990ab9">init</a>, 1);</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> }</div>
</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span>};</div>
</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> </div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keyword">typename</span> U, <span class="keywordtype">int</span> N_READS, <span class="keywordtype">bool</span> reverse&gt;</div>
<div class="foldopen" id="foldopen00109" data-start="{" data-end="}">
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"><a class="line" href="kernels_2scan_8h.html#a9c415d07921f3961bad0a00a34f4a9a3"> 109</a></span><span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code hl_function" href="kernels_2scan_8h.html#a9c415d07921f3961bad0a00a34f4a9a3">load_unsafe</a>(U values[N_READS], <span class="keyword">const</span> device T* input) {</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="keywordflow">if</span> (reverse) {</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> values[N_READS - i - 1] = input[i];</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> }</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> values[i] = input[i];</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> }</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> }</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span>}</div>
</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> </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, <span class="keyword">typename</span> U, <span class="keywordtype">int</span> N_READS, <span class="keywordtype">bool</span> reverse&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="kernels_2scan_8h.html#ae8eb101e538b85f8a4bcf451489ae0ac"> 122</a></span><span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code hl_function" href="kernels_2scan_8h.html#ae8eb101e538b85f8a4bcf451489ae0ac">load_safe</a>(</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> U values[N_READS],</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="keyword">const</span> device T* input,</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="keywordtype">int</span> start,</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="keywordtype">int</span> total,</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> U init) {</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <span class="keywordflow">if</span> (reverse) {</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> values[N_READS - i - 1] =</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> (start + N_READS - i - 1 &lt; total) ? input[i] : init;</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> }</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> values[i] = (start + i &lt; total) ? input[i] : init;</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> }</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> }</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span>}</div>
</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> </div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> U, <span class="keywordtype">int</span> N_READS, <span class="keywordtype">bool</span> reverse&gt;</div>
<div class="foldopen" id="foldopen00141" data-start="{" data-end="}">
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"><a class="line" href="kernels_2scan_8h.html#a8010e7bdf7a72cbd35ce7cd7ecb08e32"> 141</a></span><span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code hl_function" href="kernels_2scan_8h.html#a8010e7bdf7a72cbd35ce7cd7ecb08e32">write_unsafe</a>(U values[N_READS], device U* out) {</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="keywordflow">if</span> (reverse) {</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> out[i] = values[N_READS - i - 1];</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">else</span> {</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> out[i] = values[i];</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> }</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> }</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span>}</div>
</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> </div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> U, <span class="keywordtype">int</span> N_READS, <span class="keywordtype">bool</span> reverse&gt;</div>
<div class="foldopen" id="foldopen00154" data-start="{" data-end="}">
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"><a class="line" href="kernels_2scan_8h.html#ae86aef08e5ebc8790031eb51eefa754c"> 154</a></span><span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code hl_function" href="kernels_2scan_8h.html#ae86aef08e5ebc8790031eb51eefa754c">write_safe</a>(U values[N_READS], device U* out, <span class="keywordtype">int</span> start, <span class="keywordtype">int</span> total) {</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> <span class="keywordflow">if</span> (reverse) {</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <span class="keywordflow">if</span> (start + N_READS - i - 1 &lt; total) {</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> out[i] = values[N_READS - i - 1];</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> }</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> }</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> <span class="keywordflow">if</span> (start + i &lt; total) {</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> out[i] = values[i];</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> }</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> }</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> }</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span>}</div>
</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> </div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span><span class="keyword">template</span> &lt;</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> <span class="keyword">typename</span> T,</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <span class="keyword">typename</span> U,</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <span class="keyword">typename</span> Op,</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <span class="keywordtype">int</span> N_READS,</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="keywordtype">bool</span> inclusive,</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> <span class="keywordtype">bool</span> reverse&gt;</div>
<div class="foldopen" id="foldopen00177" data-start="{" data-end="}">
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"><a class="line" href="kernels_2scan_8h.html#a1f9c197dc09641f3fbb2e886c85b0675"> 177</a></span>[[kernel]] <span class="keywordtype">void</span> <a class="code hl_function" href="kernels_2scan_8h.html#a1f9c197dc09641f3fbb2e886c85b0675">contiguous_scan</a>(</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> <span class="keyword">const</span> device T* in [[buffer(0)]],</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> device U* out [[buffer(1)]],</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; axis_size [[buffer(2)]],</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> uint gid [[thread_position_in_grid]],</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> uint lid [[thread_position_in_threadgroup]],</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> uint lsize [[threads_per_threadgroup]],</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> uint <a class="code hl_variable" href="backend_2metal_2kernels_2reduction_2ops_8h.html#a515b75d563a93d3c09ee677948dc83e3">simd_size</a> [[threads_per_simdgroup]],</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> uint simd_lane_id [[thread_index_in_simdgroup]],</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> uint simd_group_id [[simdgroup_index_in_threadgroup]]) {</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> Op <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>;</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> </div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> <span class="comment">// Position the pointers</span></div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> in += (gid / lsize) * axis_size;</div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> out += (gid / lsize) * axis_size;</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> </div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <span class="comment">// Compute the number of simd_groups</span></div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> uint simd_groups = lsize / <a class="code hl_variable" href="backend_2metal_2kernels_2reduction_2ops_8h.html#a515b75d563a93d3c09ee677948dc83e3">simd_size</a>;</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> </div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> <span class="comment">// Allocate memory</span></div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> U prefix = Op::init;</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> U values[N_READS];</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> threadgroup U simdgroup_sums[32];</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> </div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> <span class="comment">// Loop over the reduced axis in blocks of size ceildiv(axis_size,</span></div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> <span class="comment">// N_READS*lsize)</span></div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <span class="comment">// Read block</span></div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <span class="comment">// Compute inclusive scan of the block</span></div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="comment">// Compute inclusive scan per thread</span></div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> <span class="comment">// Compute exclusive scan of thread sums in simdgroup</span></div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> <span class="comment">// Write simdgroup sums in SM</span></div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> <span class="comment">// Compute exclusive scan of simdgroup sums</span></div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> <span class="comment">// Compute the output by scanning prefix, prev_simdgroup, prev_thread,</span></div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> <span class="comment">// value</span></div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <span class="comment">// Write block</span></div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> </div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> <span class="keywordflow">for</span> (uint r = 0; r &lt; <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a8e5a4b0fb5d018d7b078d147efe4f1e3">ceildiv</a>(axis_size, N_READS * lsize); r++) {</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> <span class="comment">// Compute the block offset</span></div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> uint offset = r * lsize * N_READS + lid * N_READS;</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> </div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> <span class="comment">// Read the values</span></div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> <span class="keywordflow">if</span> (reverse) {</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> <span class="keywordflow">if</span> ((offset + N_READS) &lt; axis_size) {</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> load_unsafe&lt;T, U, N_READS, reverse&gt;(</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> values, in + axis_size - offset - N_READS);</div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> load_safe&lt;T, U, N_READS, reverse&gt;(</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> values,</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> in + axis_size - offset - N_READS,</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> offset,</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> axis_size,</div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> Op::init);</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> }</div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> <span class="keywordflow">if</span> ((offset + N_READS) &lt; axis_size) {</div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> load_unsafe&lt;T, U, N_READS, reverse&gt;(values, in + offset);</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> load_safe&lt;T, U, N_READS, reverse&gt;(</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> values, in + offset, offset, axis_size, Op::init);</div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> }</div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> }</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> </div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> <span class="comment">// Compute an inclusive scan per thread</span></div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> values[i] = <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>(values[i], values[i - 1]);</div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> }</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> </div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> <span class="comment">// Compute exclusive scan of thread sums</span></div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> U prev_thread = <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>.simd_exclusive_scan(values[N_READS - 1]);</div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> </div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> <span class="comment">// Write simdgroup_sums to SM</span></div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> <span class="keywordflow">if</span> (simd_lane_id == <a class="code hl_variable" href="backend_2metal_2kernels_2reduction_2ops_8h.html#a515b75d563a93d3c09ee677948dc83e3">simd_size</a> - 1) {</div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> simdgroup_sums[simd_group_id] = <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>(prev_thread, values[N_READS - 1]);</div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> }</div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> threadgroup_barrier(mem_flags::mem_threadgroup);</div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> </div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> <span class="comment">// Compute exclusive scan of simdgroup_sums</span></div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> <span class="keywordflow">if</span> (simd_group_id == 0) {</div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> U prev_simdgroup = <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>.simd_exclusive_scan(simdgroup_sums[simd_lane_id]);</div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> simdgroup_sums[simd_lane_id] = prev_simdgroup;</div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> }</div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> threadgroup_barrier(mem_flags::mem_threadgroup);</div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> </div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> <span class="comment">// Compute the output</span></div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> values[i] = <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>(values[i], prefix);</div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> values[i] = <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>(values[i], simdgroup_sums[simd_group_id]);</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> values[i] = <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>(values[i], prev_thread);</div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> }</div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> </div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> <span class="comment">// Write the values</span></div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> <span class="keywordflow">if</span> (reverse) {</div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> <span class="keywordflow">if</span> (inclusive) {</div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> <span class="keywordflow">if</span> ((offset + N_READS) &lt; axis_size) {</div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> write_unsafe&lt;U, N_READS, reverse&gt;(</div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> values, out + axis_size - offset - N_READS);</div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> write_safe&lt;U, N_READS, reverse&gt;(</div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> values, out + axis_size - offset - N_READS, offset, axis_size);</div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> }</div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> <span class="keywordflow">if</span> (lid == 0 &amp;&amp; offset == 0) {</div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> out[axis_size - 1] = Op::init;</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> }</div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> <span class="keywordflow">if</span> ((offset + N_READS + 1) &lt; axis_size) {</div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> write_unsafe&lt;U, N_READS, reverse&gt;(</div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> values, out + axis_size - offset - 1 - N_READS);</div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> write_safe&lt;U, N_READS, reverse&gt;(</div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> values,</div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> out + axis_size - offset - 1 - N_READS,</div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> offset + 1,</div>
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> axis_size);</div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> }</div>
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> }</div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> <span class="keywordflow">if</span> (inclusive) {</div>
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> <span class="keywordflow">if</span> ((offset + N_READS) &lt; axis_size) {</div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> write_unsafe&lt;U, N_READS, reverse&gt;(values, out + offset);</div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> write_safe&lt;U, N_READS, reverse&gt;(</div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> values, out + offset, offset, axis_size);</div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> }</div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> <span class="keywordflow">if</span> (lid == 0 &amp;&amp; offset == 0) {</div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> out[0] = Op::init;</div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> }</div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> <span class="keywordflow">if</span> ((offset + N_READS + 1) &lt; axis_size) {</div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> write_unsafe&lt;U, N_READS, reverse&gt;(values, out + offset + 1);</div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> write_safe&lt;U, N_READS, reverse&gt;(</div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> values, out + offset + 1, offset + 1, axis_size);</div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> }</div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> }</div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> }</div>
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> threadgroup_barrier(mem_flags::mem_threadgroup);</div>
<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> </div>
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> <span class="comment">// Share the prefix</span></div>
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> <span class="keywordflow">if</span> (simd_group_id == simd_groups - 1 &amp;&amp; simd_lane_id == <a class="code hl_variable" href="backend_2metal_2kernels_2reduction_2ops_8h.html#a515b75d563a93d3c09ee677948dc83e3">simd_size</a> - 1) {</div>
<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> simdgroup_sums[0] = values[N_READS - 1];</div>
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> }</div>
<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> threadgroup_barrier(mem_flags::mem_threadgroup);</div>
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> prefix = simdgroup_sums[0];</div>
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> }</div>
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span>}</div>
</div>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> </div>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span><span class="keyword">template</span> &lt;</div>
<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> <span class="keyword">typename</span> T,</div>
<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span> <span class="keyword">typename</span> U,</div>
<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</span> <span class="keyword">typename</span> Op,</div>
<div class="line"><a id="l00327" name="l00327"></a><span class="lineno"> 327</span> <span class="keywordtype">int</span> N_READS,</div>
<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span> <span class="keywordtype">bool</span> inclusive,</div>
<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> <span class="keywordtype">bool</span> reverse&gt;</div>
<div class="foldopen" id="foldopen00330" data-start="{" data-end="}">
<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"><a class="line" href="kernels_2scan_8h.html#aef54ac73154fb9024eda760a9dfde607"> 330</a></span>[[kernel]] <span class="keywordtype">void</span> <a class="code hl_function" href="kernels_2scan_8h.html#aef54ac73154fb9024eda760a9dfde607">strided_scan</a>(</div>
<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span> <span class="keyword">const</span> device T* in [[buffer(0)]],</div>
<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</span> device U* out [[buffer(1)]],</div>
<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; axis_size [[buffer(2)]],</div>
<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; stride [[buffer(3)]],</div>
<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"> 335</span> uint2 gid [[threadgroup_position_in_grid]],</div>
<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span> uint2 lid [[thread_position_in_threadgroup]],</div>
<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span> uint2 lsize [[threads_per_threadgroup]],</div>
<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span> uint <a class="code hl_variable" href="backend_2metal_2kernels_2reduction_2ops_8h.html#a515b75d563a93d3c09ee677948dc83e3">simd_size</a> [[threads_per_simdgroup]]) {</div>
<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"> 339</span> Op <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>;</div>
<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"> 340</span> </div>
<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span> <span class="comment">// Allocate memory</span></div>
<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span> threadgroup U read_buffer[N_READS * 32 * 32 + N_READS * 32];</div>
<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span> U values[N_READS];</div>
<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span> U prefix[N_READS];</div>
<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"> 345</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00346" name="l00346"></a><span class="lineno"> 346</span> prefix[i] = Op::init;</div>
<div class="line"><a id="l00347" name="l00347"></a><span class="lineno"> 347</span> }</div>
<div class="line"><a id="l00348" name="l00348"></a><span class="lineno"> 348</span> </div>
<div class="line"><a id="l00349" name="l00349"></a><span class="lineno"> 349</span> <span class="comment">// Compute offsets</span></div>
<div class="line"><a id="l00350" name="l00350"></a><span class="lineno"> 350</span> <span class="keywordtype">int</span> offset = gid.y * axis_size * stride;</div>
<div class="line"><a id="l00351" name="l00351"></a><span class="lineno"> 351</span> <span class="keywordtype">int</span> global_index_x = gid.x * lsize.y * N_READS;</div>
<div class="line"><a id="l00352" name="l00352"></a><span class="lineno"> 352</span> </div>
<div class="line"><a id="l00353" name="l00353"></a><span class="lineno"> 353</span> <span class="keywordflow">for</span> (uint j = 0; j &lt; axis_size; j += <a class="code hl_variable" href="backend_2metal_2kernels_2reduction_2ops_8h.html#a515b75d563a93d3c09ee677948dc83e3">simd_size</a>) {</div>
<div class="line"><a id="l00354" name="l00354"></a><span class="lineno"> 354</span> <span class="comment">// Calculate the indices for the current thread</span></div>
<div class="line"><a id="l00355" name="l00355"></a><span class="lineno"> 355</span> uint index_y = j + lid.y;</div>
<div class="line"><a id="l00356" name="l00356"></a><span class="lineno"> 356</span> uint check_index_y = index_y;</div>
<div class="line"><a id="l00357" name="l00357"></a><span class="lineno"> 357</span> uint index_x = global_index_x + lid.x * N_READS;</div>
<div class="line"><a id="l00358" name="l00358"></a><span class="lineno"> 358</span> <span class="keywordflow">if</span> (reverse) {</div>
<div class="line"><a id="l00359" name="l00359"></a><span class="lineno"> 359</span> index_y = axis_size - 1 - index_y;</div>
<div class="line"><a id="l00360" name="l00360"></a><span class="lineno"> 360</span> }</div>
<div class="line"><a id="l00361" name="l00361"></a><span class="lineno"> 361</span> </div>
<div class="line"><a id="l00362" name="l00362"></a><span class="lineno"> 362</span> <span class="comment">// Read in SM</span></div>
<div class="line"><a id="l00363" name="l00363"></a><span class="lineno"> 363</span> <span class="keywordflow">if</span> (check_index_y &lt; axis_size &amp;&amp; (index_x + N_READS) &lt; stride) {</div>
<div class="line"><a id="l00364" name="l00364"></a><span class="lineno"> 364</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00365" name="l00365"></a><span class="lineno"> 365</span> read_buffer[lid.y * <a class="code hl_variable" href="backend_2metal_2kernels_2reduction_2ops_8h.html#a515b75d563a93d3c09ee677948dc83e3">simd_size</a> * N_READS + lid.x * N_READS + i] =</div>
<div class="line"><a id="l00366" name="l00366"></a><span class="lineno"> 366</span> in[offset + index_y * stride + index_x + i];</div>
<div class="line"><a id="l00367" name="l00367"></a><span class="lineno"> 367</span> }</div>
<div class="line"><a id="l00368" name="l00368"></a><span class="lineno"> 368</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00369" name="l00369"></a><span class="lineno"> 369</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00370" name="l00370"></a><span class="lineno"> 370</span> <span class="keywordflow">if</span> (check_index_y &lt; axis_size &amp;&amp; (index_x + i) &lt; stride) {</div>
<div class="line"><a id="l00371" name="l00371"></a><span class="lineno"> 371</span> read_buffer[lid.y * <a class="code hl_variable" href="backend_2metal_2kernels_2reduction_2ops_8h.html#a515b75d563a93d3c09ee677948dc83e3">simd_size</a> * N_READS + lid.x * N_READS + i] =</div>
<div class="line"><a id="l00372" name="l00372"></a><span class="lineno"> 372</span> in[offset + index_y * stride + index_x + i];</div>
<div class="line"><a id="l00373" name="l00373"></a><span class="lineno"> 373</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00374" name="l00374"></a><span class="lineno"> 374</span> read_buffer[lid.y * <a class="code hl_variable" href="backend_2metal_2kernels_2reduction_2ops_8h.html#a515b75d563a93d3c09ee677948dc83e3">simd_size</a> * N_READS + lid.x * N_READS + i] =</div>
<div class="line"><a id="l00375" name="l00375"></a><span class="lineno"> 375</span> Op::init;</div>
<div class="line"><a id="l00376" name="l00376"></a><span class="lineno"> 376</span> }</div>
<div class="line"><a id="l00377" name="l00377"></a><span class="lineno"> 377</span> }</div>
<div class="line"><a id="l00378" name="l00378"></a><span class="lineno"> 378</span> }</div>
<div class="line"><a id="l00379" name="l00379"></a><span class="lineno"> 379</span> threadgroup_barrier(mem_flags::mem_threadgroup);</div>
<div class="line"><a id="l00380" name="l00380"></a><span class="lineno"> 380</span> </div>
<div class="line"><a id="l00381" name="l00381"></a><span class="lineno"> 381</span> <span class="comment">// Read strided into registers</span></div>
<div class="line"><a id="l00382" name="l00382"></a><span class="lineno"> 382</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00383" name="l00383"></a><span class="lineno"> 383</span> values[i] =</div>
<div class="line"><a id="l00384" name="l00384"></a><span class="lineno"> 384</span> read_buffer[lid.x * <a class="code hl_variable" href="backend_2metal_2kernels_2reduction_2ops_8h.html#a515b75d563a93d3c09ee677948dc83e3">simd_size</a> * N_READS + lid.y * N_READS + i];</div>
<div class="line"><a id="l00385" name="l00385"></a><span class="lineno"> 385</span> }</div>
<div class="line"><a id="l00386" name="l00386"></a><span class="lineno"> 386</span> <span class="comment">// Do we need the following barrier? Shouldn&#39;t all simd threads execute</span></div>
<div class="line"><a id="l00387" name="l00387"></a><span class="lineno"> 387</span> <span class="comment">// simultaneously?</span></div>
<div class="line"><a id="l00388" name="l00388"></a><span class="lineno"> 388</span> simdgroup_barrier(mem_flags::mem_threadgroup);</div>
<div class="line"><a id="l00389" name="l00389"></a><span class="lineno"> 389</span> </div>
<div class="line"><a id="l00390" name="l00390"></a><span class="lineno"> 390</span> <span class="comment">// Perform the scan</span></div>
<div class="line"><a id="l00391" name="l00391"></a><span class="lineno"> 391</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00392" name="l00392"></a><span class="lineno"> 392</span> values[i] = <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>.simd_scan(values[i]);</div>
<div class="line"><a id="l00393" name="l00393"></a><span class="lineno"> 393</span> values[i] = <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>(values[i], prefix[i]);</div>
<div class="line"><a id="l00394" name="l00394"></a><span class="lineno"> 394</span> prefix[i] = simd_shuffle(values[i], <a class="code hl_variable" href="backend_2metal_2kernels_2reduction_2ops_8h.html#a515b75d563a93d3c09ee677948dc83e3">simd_size</a> - 1);</div>
<div class="line"><a id="l00395" name="l00395"></a><span class="lineno"> 395</span> }</div>
<div class="line"><a id="l00396" name="l00396"></a><span class="lineno"> 396</span> </div>
<div class="line"><a id="l00397" name="l00397"></a><span class="lineno"> 397</span> <span class="comment">// Write to SM</span></div>
<div class="line"><a id="l00398" name="l00398"></a><span class="lineno"> 398</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00399" name="l00399"></a><span class="lineno"> 399</span> read_buffer[lid.x * <a class="code hl_variable" href="backend_2metal_2kernels_2reduction_2ops_8h.html#a515b75d563a93d3c09ee677948dc83e3">simd_size</a> * N_READS + lid.y * N_READS + i] =</div>
<div class="line"><a id="l00400" name="l00400"></a><span class="lineno"> 400</span> values[i];</div>
<div class="line"><a id="l00401" name="l00401"></a><span class="lineno"> 401</span> }</div>
<div class="line"><a id="l00402" name="l00402"></a><span class="lineno"> 402</span> threadgroup_barrier(mem_flags::mem_threadgroup);</div>
<div class="line"><a id="l00403" name="l00403"></a><span class="lineno"> 403</span> </div>
<div class="line"><a id="l00404" name="l00404"></a><span class="lineno"> 404</span> <span class="comment">// Write to device memory</span></div>
<div class="line"><a id="l00405" name="l00405"></a><span class="lineno"> 405</span> <span class="keywordflow">if</span> (!inclusive) {</div>
<div class="line"><a id="l00406" name="l00406"></a><span class="lineno"> 406</span> <span class="keywordflow">if</span> (check_index_y == 0) {</div>
<div class="line"><a id="l00407" name="l00407"></a><span class="lineno"> 407</span> <span class="keywordflow">if</span> ((index_x + N_READS) &lt; stride) {</div>
<div class="line"><a id="l00408" name="l00408"></a><span class="lineno"> 408</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00409" name="l00409"></a><span class="lineno"> 409</span> out[offset + index_y * stride + index_x + i] = Op::init;</div>
<div class="line"><a id="l00410" name="l00410"></a><span class="lineno"> 410</span> }</div>
<div class="line"><a id="l00411" name="l00411"></a><span class="lineno"> 411</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00412" name="l00412"></a><span class="lineno"> 412</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00413" name="l00413"></a><span class="lineno"> 413</span> <span class="keywordflow">if</span> ((index_x + i) &lt; stride) {</div>
<div class="line"><a id="l00414" name="l00414"></a><span class="lineno"> 414</span> out[offset + index_y * stride + index_x + i] = Op::init;</div>
<div class="line"><a id="l00415" name="l00415"></a><span class="lineno"> 415</span> }</div>
<div class="line"><a id="l00416" name="l00416"></a><span class="lineno"> 416</span> }</div>
<div class="line"><a id="l00417" name="l00417"></a><span class="lineno"> 417</span> }</div>
<div class="line"><a id="l00418" name="l00418"></a><span class="lineno"> 418</span> }</div>
<div class="line"><a id="l00419" name="l00419"></a><span class="lineno"> 419</span> <span class="keywordflow">if</span> (reverse) {</div>
<div class="line"><a id="l00420" name="l00420"></a><span class="lineno"> 420</span> index_y -= 1;</div>
<div class="line"><a id="l00421" name="l00421"></a><span class="lineno"> 421</span> check_index_y += 1;</div>
<div class="line"><a id="l00422" name="l00422"></a><span class="lineno"> 422</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00423" name="l00423"></a><span class="lineno"> 423</span> index_y += 1;</div>
<div class="line"><a id="l00424" name="l00424"></a><span class="lineno"> 424</span> check_index_y += 1;</div>
<div class="line"><a id="l00425" name="l00425"></a><span class="lineno"> 425</span> }</div>
<div class="line"><a id="l00426" name="l00426"></a><span class="lineno"> 426</span> }</div>
<div class="line"><a id="l00427" name="l00427"></a><span class="lineno"> 427</span> <span class="keywordflow">if</span> (check_index_y &lt; axis_size &amp;&amp; (index_x + N_READS) &lt; stride) {</div>
<div class="line"><a id="l00428" name="l00428"></a><span class="lineno"> 428</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00429" name="l00429"></a><span class="lineno"> 429</span> out[offset + index_y * stride + index_x + i] =</div>
<div class="line"><a id="l00430" name="l00430"></a><span class="lineno"> 430</span> read_buffer[lid.y * <a class="code hl_variable" href="backend_2metal_2kernels_2reduction_2ops_8h.html#a515b75d563a93d3c09ee677948dc83e3">simd_size</a> * N_READS + lid.x * N_READS + i];</div>
<div class="line"><a id="l00431" name="l00431"></a><span class="lineno"> 431</span> }</div>
<div class="line"><a id="l00432" name="l00432"></a><span class="lineno"> 432</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00433" name="l00433"></a><span class="lineno"> 433</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00434" name="l00434"></a><span class="lineno"> 434</span> <span class="keywordflow">if</span> (check_index_y &lt; axis_size &amp;&amp; (index_x + i) &lt; stride) {</div>
<div class="line"><a id="l00435" name="l00435"></a><span class="lineno"> 435</span> out[offset + index_y * stride + index_x + i] =</div>
<div class="line"><a id="l00436" name="l00436"></a><span class="lineno"> 436</span> read_buffer[lid.y * <a class="code hl_variable" href="backend_2metal_2kernels_2reduction_2ops_8h.html#a515b75d563a93d3c09ee677948dc83e3">simd_size</a> * N_READS + lid.x * N_READS + i];</div>
<div class="line"><a id="l00437" name="l00437"></a><span class="lineno"> 437</span> }</div>
<div class="line"><a id="l00438" name="l00438"></a><span class="lineno"> 438</span> }</div>
<div class="line"><a id="l00439" name="l00439"></a><span class="lineno"> 439</span> }</div>
<div class="line"><a id="l00440" name="l00440"></a><span class="lineno"> 440</span> }</div>
<div class="line"><a id="l00441" name="l00441"></a><span class="lineno"> 441</span>}</div>
</div>
<div class="ttc" id="abackend_2metal_2kernels_2reduction_2ops_8h_html_a515b75d563a93d3c09ee677948dc83e3"><div class="ttname"><a href="backend_2metal_2kernels_2reduction_2ops_8h.html#a515b75d563a93d3c09ee677948dc83e3">simd_size</a></div><div class="ttdeci">static constant constexpr const uint8_t simd_size</div><div class="ttdef"><b>Definition</b> ops.h:22</div></div>
<div class="ttc" id="abackend_2metal_2kernels_2utils_8h_html_a8e5a4b0fb5d018d7b078d147efe4f1e3"><div class="ttname"><a href="backend_2metal_2kernels_2utils_8h.html#a8e5a4b0fb5d018d7b078d147efe4f1e3">ceildiv</a></div><div class="ttdeci">T ceildiv(T N, U M)</div><div class="ttdoc">Compute ceil((float)N/(float)M)</div><div class="ttdef"><b>Definition</b> utils.h:409</div></div>
<div class="ttc" id="acommon_2binary_8h_html_a70228731d29946574b238d21fb4b360c"><div class="ttname"><a href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a></div><div class="ttdeci">Op op</div><div class="ttdef"><b>Definition</b> binary.h:141</div></div>
<div class="ttc" id="akernels_2scan_8h_html_a1f9c197dc09641f3fbb2e886c85b0675"><div class="ttname"><a href="kernels_2scan_8h.html#a1f9c197dc09641f3fbb2e886c85b0675">contiguous_scan</a></div><div class="ttdeci">void contiguous_scan(const device T *in, device U *out, const constant size_t &amp;axis_size, uint gid, uint lid, uint lsize, uint simd_size, uint simd_lane_id, uint simd_group_id)</div><div class="ttdef"><b>Definition</b> scan.h:177</div></div>
<div class="ttc" id="akernels_2scan_8h_html_a8010e7bdf7a72cbd35ce7cd7ecb08e32"><div class="ttname"><a href="kernels_2scan_8h.html#a8010e7bdf7a72cbd35ce7cd7ecb08e32">write_unsafe</a></div><div class="ttdeci">void write_unsafe(U values[N_READS], device U *out)</div><div class="ttdef"><b>Definition</b> scan.h:141</div></div>
<div class="ttc" id="akernels_2scan_8h_html_a9c415d07921f3961bad0a00a34f4a9a3"><div class="ttname"><a href="kernels_2scan_8h.html#a9c415d07921f3961bad0a00a34f4a9a3">load_unsafe</a></div><div class="ttdeci">void load_unsafe(U values[N_READS], const device T *input)</div><div class="ttdef"><b>Definition</b> scan.h:109</div></div>
<div class="ttc" id="akernels_2scan_8h_html_ae86aef08e5ebc8790031eb51eefa754c"><div class="ttname"><a href="kernels_2scan_8h.html#ae86aef08e5ebc8790031eb51eefa754c">write_safe</a></div><div class="ttdeci">void write_safe(U values[N_READS], device U *out, int start, int total)</div><div class="ttdef"><b>Definition</b> scan.h:154</div></div>
<div class="ttc" id="akernels_2scan_8h_html_ae8eb101e538b85f8a4bcf451489ae0ac"><div class="ttname"><a href="kernels_2scan_8h.html#ae8eb101e538b85f8a4bcf451489ae0ac">load_safe</a></div><div class="ttdeci">void load_safe(U values[N_READS], const device T *input, int start, int total, U init)</div><div class="ttdef"><b>Definition</b> scan.h:122</div></div>
<div class="ttc" id="akernels_2scan_8h_html_aef54ac73154fb9024eda760a9dfde607"><div class="ttname"><a href="kernels_2scan_8h.html#aef54ac73154fb9024eda760a9dfde607">strided_scan</a></div><div class="ttdeci">void strided_scan(const device T *in, device U *out, const constant size_t &amp;axis_size, const constant size_t &amp;stride, uint2 gid, uint2 lid, uint2 lsize, uint simd_size)</div><div class="ttdef"><b>Definition</b> scan.h:330</div></div>
<div class="ttc" id="astruct_cum_max_html"><div class="ttname"><a href="struct_cum_max.html">CumMax</a></div><div class="ttdef"><b>Definition</b> scan.h:63</div></div>
<div class="ttc" id="astruct_cum_max_html_a16480052a2eeb4340e546838aab59cc4"><div class="ttname"><a href="struct_cum_max.html#a16480052a2eeb4340e546838aab59cc4">CumMax::init</a></div><div class="ttdeci">static constexpr constant U init</div><div class="ttdef"><b>Definition</b> scan.h:64</div></div>
<div class="ttc" id="astruct_cum_max_html_a781b9b955c5412466da6af6c70d73c06"><div class="ttname"><a href="struct_cum_max.html#a781b9b955c5412466da6af6c70d73c06">CumMax::operator()</a></div><div class="ttdeci">U operator()(U a, T b)</div><div class="ttdef"><b>Definition</b> scan.h:67</div></div>
<div class="ttc" id="astruct_cum_max_html_adc9ec8bb09b4433d4c2f03022c43d781"><div class="ttname"><a href="struct_cum_max.html#adc9ec8bb09b4433d4c2f03022c43d781">CumMax::simd_scan</a></div><div class="ttdeci">U simd_scan(U x)</div><div class="ttdef"><b>Definition</b> scan.h:71</div></div>
<div class="ttc" id="astruct_cum_max_html_ae11b67aa6c998e9a01615b2a79af4403"><div class="ttname"><a href="struct_cum_max.html#ae11b67aa6c998e9a01615b2a79af4403">CumMax::simd_exclusive_scan</a></div><div class="ttdeci">U simd_exclusive_scan(U x)</div><div class="ttdef"><b>Definition</b> scan.h:79</div></div>
<div class="ttc" id="astruct_cum_min_html"><div class="ttname"><a href="struct_cum_min.html">CumMin</a></div><div class="ttdef"><b>Definition</b> scan.h:86</div></div>
<div class="ttc" id="astruct_cum_min_html_a0a1005d91b1c90e90e2c6dbd6c296649"><div class="ttname"><a href="struct_cum_min.html#a0a1005d91b1c90e90e2c6dbd6c296649">CumMin::simd_scan</a></div><div class="ttdeci">U simd_scan(U x)</div><div class="ttdef"><b>Definition</b> scan.h:94</div></div>
<div class="ttc" id="astruct_cum_min_html_a83e65017ff33018b585c043fb803773b"><div class="ttname"><a href="struct_cum_min.html#a83e65017ff33018b585c043fb803773b">CumMin::simd_exclusive_scan</a></div><div class="ttdeci">U simd_exclusive_scan(U x)</div><div class="ttdef"><b>Definition</b> scan.h:102</div></div>
<div class="ttc" id="astruct_cum_min_html_a8b67f739c620d0cc194b533190990ab9"><div class="ttname"><a href="struct_cum_min.html#a8b67f739c620d0cc194b533190990ab9">CumMin::init</a></div><div class="ttdeci">static constexpr constant U init</div><div class="ttdef"><b>Definition</b> scan.h:87</div></div>
<div class="ttc" id="astruct_cum_min_html_ae0b8c3761e04fa538d304ca842281a66"><div class="ttname"><a href="struct_cum_min.html#ae0b8c3761e04fa538d304ca842281a66">CumMin::operator()</a></div><div class="ttdeci">U operator()(U a, T b)</div><div class="ttdef"><b>Definition</b> scan.h:90</div></div>
<div class="ttc" id="astruct_cum_prod_3_01bool_01_4_html_a1a86e9398bae24182b7be0a6577bf223"><div class="ttname"><a href="struct_cum_prod_3_01bool_01_4.html#a1a86e9398bae24182b7be0a6577bf223">CumProd&lt; bool &gt;::simd_exclusive_scan</a></div><div class="ttdeci">bool simd_exclusive_scan(bool x)</div><div class="ttdef"><b>Definition</b> scan.h:56</div></div>
<div class="ttc" id="astruct_cum_prod_3_01bool_01_4_html_abeb5ec4237b330e7219f4e881cf10d7a"><div class="ttname"><a href="struct_cum_prod_3_01bool_01_4.html#abeb5ec4237b330e7219f4e881cf10d7a">CumProd&lt; bool &gt;::simd_scan</a></div><div class="ttdeci">bool simd_scan(bool x)</div><div class="ttdef"><b>Definition</b> scan.h:48</div></div>
<div class="ttc" id="astruct_cum_prod_3_01bool_01_4_html_ad634be0b139d10ce6d21332eef0d936b"><div class="ttname"><a href="struct_cum_prod_3_01bool_01_4.html#ad634be0b139d10ce6d21332eef0d936b">CumProd&lt; bool &gt;::operator()</a></div><div class="ttdeci">bool operator()(bool a, T b)</div><div class="ttdef"><b>Definition</b> scan.h:44</div></div>
<div class="ttc" id="astruct_cum_prod_html"><div class="ttname"><a href="struct_cum_prod.html">CumProd</a></div><div class="ttdef"><b>Definition</b> scan.h:22</div></div>
<div class="ttc" id="astruct_cum_prod_html_a5b0577295853a48856b84fd4f935dff8"><div class="ttname"><a href="struct_cum_prod.html#a5b0577295853a48856b84fd4f935dff8">CumProd::simd_exclusive_scan</a></div><div class="ttdeci">U simd_exclusive_scan(U x)</div><div class="ttdef"><b>Definition</b> scan.h:34</div></div>
<div class="ttc" id="astruct_cum_prod_html_a860dbf6146de088d07175bd165b74004"><div class="ttname"><a href="struct_cum_prod.html#a860dbf6146de088d07175bd165b74004">CumProd::simd_scan</a></div><div class="ttdeci">U simd_scan(U x)</div><div class="ttdef"><b>Definition</b> scan.h:30</div></div>
<div class="ttc" id="astruct_cum_prod_html_acf2ae2daa84d477b413deea679cab9e5"><div class="ttname"><a href="struct_cum_prod.html#acf2ae2daa84d477b413deea679cab9e5">CumProd::init</a></div><div class="ttdeci">static constexpr constant U init</div><div class="ttdef"><b>Definition</b> scan.h:23</div></div>
<div class="ttc" id="astruct_cum_prod_html_af1ffa2672332ca27e287c3ba59c73e1e"><div class="ttname"><a href="struct_cum_prod.html#af1ffa2672332ca27e287c3ba59c73e1e">CumProd::operator()</a></div><div class="ttdeci">U operator()(U a, T b)</div><div class="ttdef"><b>Definition</b> scan.h:26</div></div>
<div class="ttc" id="astruct_cum_sum_html"><div class="ttname"><a href="struct_cum_sum.html">CumSum</a></div><div class="ttdef"><b>Definition</b> scan.h:4</div></div>
<div class="ttc" id="astruct_cum_sum_html_a64d1933942de4df2d44dd90e9e5e4460"><div class="ttname"><a href="struct_cum_sum.html#a64d1933942de4df2d44dd90e9e5e4460">CumSum::simd_exclusive_scan</a></div><div class="ttdeci">U simd_exclusive_scan(U x)</div><div class="ttdef"><b>Definition</b> scan.h:16</div></div>
<div class="ttc" id="astruct_cum_sum_html_a83342af06f6a700067e3b451636852d6"><div class="ttname"><a href="struct_cum_sum.html#a83342af06f6a700067e3b451636852d6">CumSum::simd_scan</a></div><div class="ttdeci">U simd_scan(U x)</div><div class="ttdef"><b>Definition</b> scan.h:12</div></div>
<div class="ttc" id="astruct_cum_sum_html_a987f7a15eded60081b74abc103d3054b"><div class="ttname"><a href="struct_cum_sum.html#a987f7a15eded60081b74abc103d3054b">CumSum::init</a></div><div class="ttdeci">static constexpr constant U init</div><div class="ttdef"><b>Definition</b> scan.h:5</div></div>
<div class="ttc" id="astruct_cum_sum_html_aacc713dde086ef04b54abb675131468e"><div class="ttname"><a href="struct_cum_sum.html#aacc713dde086ef04b54abb675131468e">CumSum::operator()</a></div><div class="ttdeci">U operator()(U a, T b)</div><div class="ttdef"><b>Definition</b> scan.h:8</div></div>
<div class="ttc" id="astruct_limits_html"><div class="ttname"><a href="struct_limits.html">Limits</a></div><div class="ttdef"><b>Definition</b> utils.h:17</div></div>
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