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			680 lines
		
	
	
		
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  <div class="headertitle"><div class="title">scan.h</div></div>
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<a href="scan_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>
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<div class="line"><a id="l00002" name="l00002"></a><span class="lineno">    2</span> </div>
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<div class="line"><a id="l00003" name="l00003"></a><span class="lineno">    3</span><span class="preprocessor">#pragma once</span></div>
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<div class="line"><a id="l00004" name="l00004"></a><span class="lineno">    4</span> </div>
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<div class="foldopen" id="foldopen00005" data-start="" data-end="">
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<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"><a class="line" href="scan_8h.html#a0d8d6a9b0f3a1263629380bda8eca7bc">    5</a></span><span class="preprocessor">#define DEFINE_SIMD_SCAN()                                               \</span></div>
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<div class="line"><a id="l00006" name="l00006"></a><span class="lineno">    6</span><span class="preprocessor">  template <typename T, metal::enable_if_t<sizeof(T) < 8, bool> = true>  \</span></div>
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<div class="line"><a id="l00007" name="l00007"></a><span class="lineno">    7</span><span class="preprocessor">  T simd_scan(T val) {                                                   \</span></div>
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<div class="line"><a id="l00008" name="l00008"></a><span class="lineno">    8</span><span class="preprocessor">    return simd_scan_impl(val);                                          \</span></div>
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<div class="line"><a id="l00009" name="l00009"></a><span class="lineno">    9</span><span class="preprocessor">  }                                                                      \</span></div>
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<div class="line"><a id="l00010" name="l00010"></a><span class="lineno">   10</span><span class="preprocessor">                                                                         \</span></div>
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<div class="line"><a id="l00011" name="l00011"></a><span class="lineno">   11</span><span class="preprocessor">  template <typename T, metal::enable_if_t<sizeof(T) == 8, bool> = true> \</span></div>
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<div class="line"><a id="l00012" name="l00012"></a><span class="lineno">   12</span><span class="preprocessor">  T simd_scan(T val) {                                                   \</span></div>
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<div class="line"><a id="l00013" name="l00013"></a><span class="lineno">   13</span><span class="preprocessor">    for (int i = 1; i <= 16; i *= 2) {                                   \</span></div>
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<div class="line"><a id="l00014" name="l00014"></a><span class="lineno">   14</span><span class="preprocessor">      val = operator()(val, simd_shuffle_and_fill_up(val, init, i));     \</span></div>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno">   15</span><span class="preprocessor">    }                                                                    \</span></div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno">   16</span><span class="preprocessor">    return val;                                                          \</span></div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno">   17</span><span class="preprocessor">  }</span></div>
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</div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno">   18</span> </div>
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<div class="foldopen" id="foldopen00019" data-start="" data-end="">
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"><a class="line" href="scan_8h.html#a185f66aac8c5317587e6abd43f3013fc">   19</a></span><span class="preprocessor">#define DEFINE_SIMD_EXCLUSIVE_SCAN()                                     \</span></div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno">   20</span><span class="preprocessor">  template <typename T, metal::enable_if_t<sizeof(T) < 8, bool> = true>  \</span></div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno">   21</span><span class="preprocessor">  T simd_exclusive_scan(T val) {                                         \</span></div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno">   22</span><span class="preprocessor">    return simd_exclusive_scan_impl(val);                                \</span></div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno">   23</span><span class="preprocessor">  }                                                                      \</span></div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno">   24</span><span class="preprocessor">                                                                         \</span></div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno">   25</span><span class="preprocessor">  template <typename T, metal::enable_if_t<sizeof(T) == 8, bool> = true> \</span></div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno">   26</span><span class="preprocessor">  T simd_exclusive_scan(T val) {                                         \</span></div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno">   27</span><span class="preprocessor">    val = simd_scan(val);                                                \</span></div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno">   28</span><span class="preprocessor">    return simd_shuffle_and_fill_up(val, init, 1);                       \</span></div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno">   29</span><span class="preprocessor">  }</span></div>
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</div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno">   30</span> </div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno">   31</span><span class="keyword">template</span> <<span class="keyword">typename</span> U></div>
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<div class="foldopen" id="foldopen00032" data-start="{" data-end="};">
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"><a class="line" href="struct_cum_sum.html">   32</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_cum_sum.html">CumSum</a> {</div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span>  <a class="code hl_define" href="scan_8h.html#a0d8d6a9b0f3a1263629380bda8eca7bc">DEFINE_SIMD_SCAN</a>()</div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno">   34</span>  <a class="code hl_define" href="scan_8h.html#a185f66aac8c5317587e6abd43f3013fc">DEFINE_SIMD_EXCLUSIVE_SCAN</a>()</div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span> </div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span>  <span class="keyword">static</span> <span class="keyword">constexpr</span> constant U init = <span class="keyword">static_cast<</span>U<span class="keyword">></span>(0);</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno">   37</span> </div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno">   38</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno">   39</span>  U operator()(U a, T b) {</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno">   40</span>    <span class="keywordflow">return</span> a + b;</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno">   41</span>  }</div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno">   42</span> </div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno">   43</span>  U simd_scan_impl(U x) {</div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno">   44</span>    <span class="keywordflow">return</span> simd_prefix_inclusive_sum(x);</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno">   45</span>  }</div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno">   46</span> </div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno">   47</span>  U simd_exclusive_scan_impl(U x) {</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno">   48</span>    <span class="keywordflow">return</span> simd_prefix_exclusive_sum(x);</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno">   49</span>  }</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno">   50</span>};</div>
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</div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno">   51</span> </div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno">   52</span><span class="keyword">template</span> <<span class="keyword">typename</span> U></div>
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<div class="foldopen" id="foldopen00053" data-start="{" data-end="};">
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"><a class="line" href="struct_cum_prod.html">   53</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_cum_prod.html">CumProd</a> {</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno">   54</span>  <a class="code hl_define" href="scan_8h.html#a0d8d6a9b0f3a1263629380bda8eca7bc">DEFINE_SIMD_SCAN</a>()</div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno">   55</span>  <a class="code hl_define" href="scan_8h.html#a185f66aac8c5317587e6abd43f3013fc">DEFINE_SIMD_EXCLUSIVE_SCAN</a>()</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno">   56</span> </div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno">   57</span>  <span class="keyword">static</span> <span class="keyword">constexpr</span> constant U init = <span class="keyword">static_cast<</span>U<span class="keyword">></span>(1.0f);</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno">   58</span> </div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno">   59</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno">   60</span>  U operator()(U a, T b) {</div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno">   61</span>    <span class="keywordflow">return</span> a * b;</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno">   62</span>  }</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno">   63</span> </div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno">   64</span>  U simd_scan_impl(U x) {</div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno">   65</span>    <span class="keywordflow">return</span> simd_prefix_inclusive_product(x);</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno">   66</span>  }</div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno">   67</span> </div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno">   68</span>  U simd_exclusive_scan_impl(U x) {</div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno">   69</span>    <span class="keywordflow">return</span> simd_prefix_exclusive_product(x);</div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno">   70</span>  }</div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno">   71</span>};</div>
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</div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno">   72</span> </div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno">   73</span><span class="keyword">template</span> <></div>
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<div class="foldopen" id="foldopen00074" data-start="{" data-end="};">
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"><a class="line" href="struct_cum_prod_3_01bool_01_4.html">   74</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_cum_prod.html">CumProd</a><bool> {</div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"><a class="line" href="struct_cum_prod_3_01bool_01_4.html#ae7a8b0ba9e6898356b87b18766e76d2c">   75</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_3_01bool_01_4.html#ae7a8b0ba9e6898356b87b18766e76d2c">init</a> = <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno">   76</span> </div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno">   77</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
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<div class="foldopen" id="foldopen00078" data-start="{" data-end="}">
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"><a class="line" href="struct_cum_prod_3_01bool_01_4.html#ad634be0b139d10ce6d21332eef0d936b">   78</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>
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						|
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno">   79</span>    <span class="keywordflow">return</span> a & <span class="keyword">static_cast<</span><span class="keywordtype">bool</span><span class="keyword">></span>(b);</div>
 | 
						|
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno">   80</span>  }</div>
 | 
						|
</div>
 | 
						|
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno">   81</span> </div>
 | 
						|
<div class="foldopen" id="foldopen00082" data-start="{" data-end="}">
 | 
						|
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"><a class="line" href="struct_cum_prod_3_01bool_01_4.html#abeb5ec4237b330e7219f4e881cf10d7a">   82</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="l00083" name="l00083"></a><span class="lineno">   83</span>    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i <= 16; i *= 2) {</div>
 | 
						|
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno">   84</span>      <span class="keywordtype">bool</span> other = <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a5862d5ea154c9b76cf56a630cf6385b4">simd_shuffle_and_fill_up</a>(x, <a class="code hl_variable" href="struct_cum_prod_3_01bool_01_4.html#ae7a8b0ba9e6898356b87b18766e76d2c">init</a>, i);</div>
 | 
						|
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno">   85</span>      x &= other;</div>
 | 
						|
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno">   86</span>    }</div>
 | 
						|
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno">   87</span>    <span class="keywordflow">return</span> x;</div>
 | 
						|
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno">   88</span>  }</div>
 | 
						|
</div>
 | 
						|
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno">   89</span> </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_prod_3_01bool_01_4.html#a1a86e9398bae24182b7be0a6577bf223">   90</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="l00091" name="l00091"></a><span class="lineno">   91</span>    x = <a class="code hl_function" href="struct_cum_prod_3_01bool_01_4.html#abeb5ec4237b330e7219f4e881cf10d7a">simd_scan</a>(x);</div>
 | 
						|
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno">   92</span>    <span class="keywordflow">return</span> <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a5862d5ea154c9b76cf56a630cf6385b4">simd_shuffle_and_fill_up</a>(x, <a class="code hl_variable" href="struct_cum_prod_3_01bool_01_4.html#ae7a8b0ba9e6898356b87b18766e76d2c">init</a>, 1);</div>
 | 
						|
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno">   93</span>  }</div>
 | 
						|
</div>
 | 
						|
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno">   94</span>};</div>
 | 
						|
</div>
 | 
						|
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno">   95</span> </div>
 | 
						|
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno">   96</span><span class="keyword">template</span> <<span class="keyword">typename</span> U></div>
 | 
						|
<div class="foldopen" id="foldopen00097" data-start="{" data-end="};">
 | 
						|
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"><a class="line" href="struct_cum_max.html">   97</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="l00098" name="l00098"></a><span class="lineno"><a class="line" href="struct_cum_max.html#a16480052a2eeb4340e546838aab59cc4">   98</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_variable" href="struct_limits.html#a6e81584ba65a4dc6ff9366b458e3a20e">Limits<U>::min</a>;</div>
 | 
						|
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno">   99</span> </div>
 | 
						|
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno">  100</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T></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_cum_max.html#a781b9b955c5412466da6af6c70d73c06">  101</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="l00102" name="l00102"></a><span class="lineno">  102</span>    <span class="keywordflow">return</span> (a >= b) ? a : b;</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 class="foldopen" id="foldopen00105" data-start="{" data-end="}">
 | 
						|
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"><a class="line" href="struct_cum_max.html#adc9ec8bb09b4433d4c2f03022c43d781">  105</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="l00106" name="l00106"></a><span class="lineno">  106</span>    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i <= 16; i *= 2) {</div>
 | 
						|
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno">  107</span>      U other = <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a5862d5ea154c9b76cf56a630cf6385b4">simd_shuffle_and_fill_up</a>(x, <a class="code hl_variable" href="struct_cum_max.html#a16480052a2eeb4340e546838aab59cc4">init</a>, i);</div>
 | 
						|
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno">  108</span>      x = (x >= other) ? x : other;</div>
 | 
						|
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno">  109</span>    }</div>
 | 
						|
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno">  110</span>    <span class="keywordflow">return</span> x;</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_cum_max.html#ae11b67aa6c998e9a01615b2a79af4403">  113</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="l00114" name="l00114"></a><span class="lineno">  114</span>    x = <a class="code hl_function" href="struct_cum_max.html#adc9ec8bb09b4433d4c2f03022c43d781">simd_scan</a>(x);</div>
 | 
						|
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno">  115</span>    <span class="keywordflow">return</span> <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a5862d5ea154c9b76cf56a630cf6385b4">simd_shuffle_and_fill_up</a>(x, <a class="code hl_variable" href="struct_cum_max.html#a16480052a2eeb4340e546838aab59cc4">init</a>, 1);</div>
 | 
						|
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno">  116</span>  }</div>
 | 
						|
</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 class="line"><a id="l00119" name="l00119"></a><span class="lineno">  119</span><span class="keyword">template</span> <<span class="keyword">typename</span> U></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_cum_min.html">  120</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="l00121" name="l00121"></a><span class="lineno"><a class="line" href="struct_cum_min.html#a8b67f739c620d0cc194b533190990ab9">  121</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_variable" href="struct_limits.html#a2f0673b6f9da89ce1d64f9f3d74f50a8">Limits<U>::max</a>;</div>
 | 
						|
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno">  122</span> </div>
 | 
						|
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno">  123</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
 | 
						|
<div class="foldopen" id="foldopen00124" data-start="{" data-end="}">
 | 
						|
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"><a class="line" href="struct_cum_min.html#ae0b8c3761e04fa538d304ca842281a66">  124</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="l00125" name="l00125"></a><span class="lineno">  125</span>    <span class="keywordflow">return</span> (a <= b) ? a : b;</div>
 | 
						|
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno">  126</span>  }</div>
 | 
						|
</div>
 | 
						|
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno">  127</span> </div>
 | 
						|
<div class="foldopen" id="foldopen00128" data-start="{" data-end="}">
 | 
						|
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"><a class="line" href="struct_cum_min.html#a0a1005d91b1c90e90e2c6dbd6c296649">  128</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="l00129" name="l00129"></a><span class="lineno">  129</span>    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i <= 16; i *= 2) {</div>
 | 
						|
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno">  130</span>      U other = <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a5862d5ea154c9b76cf56a630cf6385b4">simd_shuffle_and_fill_up</a>(x, <a class="code hl_variable" href="struct_cum_min.html#a8b67f739c620d0cc194b533190990ab9">init</a>, i);</div>
 | 
						|
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno">  131</span>      x = (x <= other) ? x : other;</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">return</span> x;</div>
 | 
						|
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno">  134</span>  }</div>
 | 
						|
</div>
 | 
						|
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno">  135</span> </div>
 | 
						|
<div class="foldopen" id="foldopen00136" data-start="{" data-end="}">
 | 
						|
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"><a class="line" href="struct_cum_min.html#a83e65017ff33018b585c043fb803773b">  136</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="l00137" name="l00137"></a><span class="lineno">  137</span>    x = <a class="code hl_function" href="struct_cum_min.html#a0a1005d91b1c90e90e2c6dbd6c296649">simd_scan</a>(x);</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="backend_2metal_2kernels_2utils_8h.html#a5862d5ea154c9b76cf56a630cf6385b4">simd_shuffle_and_fill_up</a>(x, <a class="code hl_variable" href="struct_cum_min.html#a8b67f739c620d0cc194b533190990ab9">init</a>, 1);</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>
 | 
						|
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno">  141</span> </div>
 | 
						|
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno">  142</span><span class="keyword">template</span> <<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></div>
 | 
						|
<div class="foldopen" id="foldopen00143" data-start="{" data-end="}">
 | 
						|
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"><a class="line" href="scan_8h.html#a9c415d07921f3961bad0a00a34f4a9a3">  143</a></span><span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code hl_function" href="scan_8h.html#a9c415d07921f3961bad0a00a34f4a9a3">load_unsafe</a>(U values[N_READS], <span class="keyword">const</span> device T* input) {</div>
 | 
						|
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno">  144</span>  <span class="keywordflow">if</span> (reverse) {</div>
 | 
						|
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno">  145</span>    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < N_READS; i++) {</div>
 | 
						|
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno">  146</span>      values[N_READS - i - 1] = input[i];</div>
 | 
						|
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno">  147</span>    }</div>
 | 
						|
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno">  148</span>  } <span class="keywordflow">else</span> {</div>
 | 
						|
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno">  149</span>    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < N_READS; i++) {</div>
 | 
						|
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno">  150</span>      values[i] = input[i];</div>
 | 
						|
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno">  151</span>    }</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>}</div>
 | 
						|
</div>
 | 
						|
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno">  154</span> </div>
 | 
						|
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno">  155</span><span class="keyword">template</span> <<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></div>
 | 
						|
<div class="foldopen" id="foldopen00156" data-start="{" data-end="}">
 | 
						|
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"><a class="line" href="scan_8h.html#ae8eb101e538b85f8a4bcf451489ae0ac">  156</a></span><span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code hl_function" href="scan_8h.html#ae8eb101e538b85f8a4bcf451489ae0ac">load_safe</a>(</div>
 | 
						|
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno">  157</span>    U values[N_READS],</div>
 | 
						|
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno">  158</span>    <span class="keyword">const</span> device T* input,</div>
 | 
						|
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno">  159</span>    <span class="keywordtype">int</span> start,</div>
 | 
						|
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno">  160</span>    <span class="keywordtype">int</span> total,</div>
 | 
						|
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno">  161</span>    U init) {</div>
 | 
						|
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno">  162</span>  <span class="keywordflow">if</span> (reverse) {</div>
 | 
						|
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno">  163</span>    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < N_READS; i++) {</div>
 | 
						|
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno">  164</span>      values[N_READS - i - 1] =</div>
 | 
						|
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno">  165</span>          (start + N_READS - i - 1 < total) ? input[i] : init;</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>  } <span class="keywordflow">else</span> {</div>
 | 
						|
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno">  168</span>    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < N_READS; i++) {</div>
 | 
						|
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno">  169</span>      values[i] = (start + i < total) ? input[i] : init;</div>
 | 
						|
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno">  170</span>    }</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>}</div>
 | 
						|
</div>
 | 
						|
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno">  173</span> </div>
 | 
						|
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno">  174</span><span class="keyword">template</span> <<span class="keyword">typename</span> U, <span class="keywordtype">int</span> N_READS, <span class="keywordtype">bool</span> reverse></div>
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						|
<div class="foldopen" id="foldopen00175" data-start="{" data-end="}">
 | 
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<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"><a class="line" href="scan_8h.html#a8010e7bdf7a72cbd35ce7cd7ecb08e32">  175</a></span><span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code hl_function" href="scan_8h.html#a8010e7bdf7a72cbd35ce7cd7ecb08e32">write_unsafe</a>(U values[N_READS], device U* out) {</div>
 | 
						|
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno">  176</span>  <span class="keywordflow">if</span> (reverse) {</div>
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<div class="line"><a id="l00177" name="l00177"></a><span class="lineno">  177</span>    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < N_READS; i++) {</div>
 | 
						|
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno">  178</span>      out[i] = values[N_READS - i - 1];</div>
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<div class="line"><a id="l00179" name="l00179"></a><span class="lineno">  179</span>    }</div>
 | 
						|
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno">  180</span>  } <span class="keywordflow">else</span> {</div>
 | 
						|
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno">  181</span>    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < N_READS; i++) {</div>
 | 
						|
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno">  182</span>      out[i] = values[i];</div>
 | 
						|
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno">  183</span>    }</div>
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<div class="line"><a id="l00184" name="l00184"></a><span class="lineno">  184</span>  }</div>
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<div class="line"><a id="l00185" name="l00185"></a><span class="lineno">  185</span>}</div>
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</div>
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<div class="line"><a id="l00186" name="l00186"></a><span class="lineno">  186</span> </div>
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<div class="line"><a id="l00187" name="l00187"></a><span class="lineno">  187</span><span class="keyword">template</span> <<span class="keyword">typename</span> U, <span class="keywordtype">int</span> N_READS, <span class="keywordtype">bool</span> reverse></div>
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<div class="foldopen" id="foldopen00188" data-start="{" data-end="}">
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<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"><a class="line" href="scan_8h.html#ae86aef08e5ebc8790031eb51eefa754c">  188</a></span><span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code hl_function" href="scan_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="l00189" name="l00189"></a><span class="lineno">  189</span>  <span class="keywordflow">if</span> (reverse) {</div>
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<div class="line"><a id="l00190" name="l00190"></a><span class="lineno">  190</span>    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < N_READS; i++) {</div>
 | 
						|
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno">  191</span>      <span class="keywordflow">if</span> (start + N_READS - i - 1 < total) {</div>
 | 
						|
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno">  192</span>        out[i] = values[N_READS - i - 1];</div>
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<div class="line"><a id="l00193" name="l00193"></a><span class="lineno">  193</span>      }</div>
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<div class="line"><a id="l00194" name="l00194"></a><span class="lineno">  194</span>    }</div>
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<div class="line"><a id="l00195" name="l00195"></a><span class="lineno">  195</span>  } <span class="keywordflow">else</span> {</div>
 | 
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<div class="line"><a id="l00196" name="l00196"></a><span class="lineno">  196</span>    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < N_READS; i++) {</div>
 | 
						|
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno">  197</span>      <span class="keywordflow">if</span> (start + i < total) {</div>
 | 
						|
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno">  198</span>        out[i] = values[i];</div>
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<div class="line"><a id="l00199" name="l00199"></a><span class="lineno">  199</span>      }</div>
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<div class="line"><a id="l00200" name="l00200"></a><span class="lineno">  200</span>    }</div>
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<div class="line"><a id="l00201" name="l00201"></a><span class="lineno">  201</span>  }</div>
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<div class="line"><a id="l00202" name="l00202"></a><span class="lineno">  202</span>}</div>
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</div>
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<div class="line"><a id="l00203" name="l00203"></a><span class="lineno">  203</span> </div>
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<div class="line"><a id="l00204" name="l00204"></a><span class="lineno">  204</span><span class="keyword">template</span> <</div>
 | 
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<div class="line"><a id="l00205" name="l00205"></a><span class="lineno">  205</span>    <span class="keyword">typename</span> T,</div>
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<div class="line"><a id="l00206" name="l00206"></a><span class="lineno">  206</span>    <span class="keyword">typename</span> U,</div>
 | 
						|
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno">  207</span>    <span class="keyword">typename</span> Op,</div>
 | 
						|
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno">  208</span>    <span class="keywordtype">int</span> N_READS,</div>
 | 
						|
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno">  209</span>    <span class="keywordtype">bool</span> inclusive,</div>
 | 
						|
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno">  210</span>    <span class="keywordtype">bool</span> reverse></div>
 | 
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<div class="foldopen" id="foldopen00211" data-start="{" data-end="}">
 | 
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<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"><a class="line" href="scan_8h.html#a60d279b9add7d56639bb209408f09d79">  211</a></span>[[kernel]] <span class="keywordtype">void</span> <a class="code hl_function" href="scan_8h.html#a60d279b9add7d56639bb209408f09d79">contiguous_scan</a>(</div>
 | 
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<div class="line"><a id="l00212" name="l00212"></a><span class="lineno">  212</span>    <span class="keyword">const</span> device T* in [[buffer(0)]],</div>
 | 
						|
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno">  213</span>    device U* out [[buffer(1)]],</div>
 | 
						|
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno">  214</span>    <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>& axis_size [[buffer(2)]],</div>
 | 
						|
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno">  215</span>    uint3 gid [[threadgroup_position_in_grid]],</div>
 | 
						|
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno">  216</span>    uint3 gsize [[threadgroups_per_grid]],</div>
 | 
						|
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno">  217</span>    uint3 lid [[thread_position_in_threadgroup]],</div>
 | 
						|
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno">  218</span>    uint3 lsize [[threads_per_threadgroup]],</div>
 | 
						|
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno">  219</span>    uint simd_lane_id [[thread_index_in_simdgroup]],</div>
 | 
						|
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno">  220</span>    uint simd_group_id [[simdgroup_index_in_threadgroup]]) {</div>
 | 
						|
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno">  221</span>  <span class="keyword">constexpr</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="backend_2metal_2kernels_2reduction_2ops_8h.html#a515b75d563a93d3c09ee677948dc83e3">simd_size</a> = 32;</div>
 | 
						|
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno">  222</span>  Op op;</div>
 | 
						|
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno">  223</span> </div>
 | 
						|
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno">  224</span>  <span class="comment">// Position the pointers</span></div>
 | 
						|
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno">  225</span>  <span class="keywordtype">size_t</span> offset = (gid.y + gsize.y * size_t(gid.z)) * axis_size;</div>
 | 
						|
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno">  226</span>  in += offset;</div>
 | 
						|
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno">  227</span>  out += offset;</div>
 | 
						|
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno">  228</span> </div>
 | 
						|
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno">  229</span>  <span class="comment">// Compute the number of simd_groups</span></div>
 | 
						|
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno">  230</span>  uint simd_groups = lsize.x / <a class="code hl_variable" href="backend_2metal_2kernels_2reduction_2ops_8h.html#a515b75d563a93d3c09ee677948dc83e3">simd_size</a>;</div>
 | 
						|
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno">  231</span> </div>
 | 
						|
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno">  232</span>  <span class="comment">// Allocate memory</span></div>
 | 
						|
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno">  233</span>  U prefix = Op::init;</div>
 | 
						|
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno">  234</span>  U values[N_READS];</div>
 | 
						|
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno">  235</span>  threadgroup U simdgroup_sums[32];</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>  <span class="comment">// Loop over the reduced axis in blocks of size ceildiv(axis_size,</span></div>
 | 
						|
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno">  238</span>  <span class="comment">// N_READS*lsize)</span></div>
 | 
						|
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno">  239</span>  <span class="comment">//    Read block</span></div>
 | 
						|
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno">  240</span>  <span class="comment">//    Compute inclusive scan of the block</span></div>
 | 
						|
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno">  241</span>  <span class="comment">//      Compute inclusive scan per thread</span></div>
 | 
						|
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno">  242</span>  <span class="comment">//      Compute exclusive scan of thread sums in simdgroup</span></div>
 | 
						|
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno">  243</span>  <span class="comment">//      Write simdgroup sums in SM</span></div>
 | 
						|
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno">  244</span>  <span class="comment">//      Compute exclusive scan of simdgroup sums</span></div>
 | 
						|
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno">  245</span>  <span class="comment">//      Compute the output by scanning prefix, prev_simdgroup, prev_thread,</span></div>
 | 
						|
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno">  246</span>  <span class="comment">//      value</span></div>
 | 
						|
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno">  247</span>  <span class="comment">//    Write block</span></div>
 | 
						|
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno">  248</span> </div>
 | 
						|
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno">  249</span>  <span class="keywordflow">for</span> (uint r = 0; r < <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a8e5a4b0fb5d018d7b078d147efe4f1e3">ceildiv</a>(axis_size, N_READS * lsize.x); r++) {</div>
 | 
						|
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno">  250</span>    <span class="comment">// Compute the block offset</span></div>
 | 
						|
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno">  251</span>    uint offset = r * lsize.x * N_READS + lid.x * N_READS;</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">// Read the values</span></div>
 | 
						|
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno">  254</span>    <span class="keywordflow">if</span> (reverse) {</div>
 | 
						|
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno">  255</span>      <span class="keywordflow">if</span> ((offset + N_READS) < axis_size) {</div>
 | 
						|
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno">  256</span>        <a class="code hl_function" href="scan_8h.html#a9c415d07921f3961bad0a00a34f4a9a3">load_unsafe<T, U, N_READS, reverse></a>(</div>
 | 
						|
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno">  257</span>            values, in + axis_size - offset - N_READS);</div>
 | 
						|
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno">  258</span>      } <span class="keywordflow">else</span> {</div>
 | 
						|
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno">  259</span>        <a class="code hl_function" href="scan_8h.html#ae8eb101e538b85f8a4bcf451489ae0ac">load_safe<T, U, N_READS, reverse></a>(</div>
 | 
						|
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno">  260</span>            values,</div>
 | 
						|
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno">  261</span>            in + axis_size - offset - N_READS,</div>
 | 
						|
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno">  262</span>            offset,</div>
 | 
						|
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno">  263</span>            axis_size,</div>
 | 
						|
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno">  264</span>            Op::init);</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>    } <span class="keywordflow">else</span> {</div>
 | 
						|
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno">  267</span>      <span class="keywordflow">if</span> ((offset + N_READS) < axis_size) {</div>
 | 
						|
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno">  268</span>        <a class="code hl_function" href="scan_8h.html#a9c415d07921f3961bad0a00a34f4a9a3">load_unsafe<T, U, N_READS, reverse></a>(values, in + offset);</div>
 | 
						|
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno">  269</span>      } <span class="keywordflow">else</span> {</div>
 | 
						|
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno">  270</span>        <a class="code hl_function" href="scan_8h.html#ae8eb101e538b85f8a4bcf451489ae0ac">load_safe<T, U, N_READS, reverse></a>(</div>
 | 
						|
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno">  271</span>            values, in + offset, offset, axis_size, Op::init);</div>
 | 
						|
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno">  272</span>      }</div>
 | 
						|
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno">  273</span>    }</div>
 | 
						|
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno">  274</span> </div>
 | 
						|
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno">  275</span>    <span class="comment">// Compute an inclusive scan per thread</span></div>
 | 
						|
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno">  276</span>    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i < N_READS; i++) {</div>
 | 
						|
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno">  277</span>      values[i] = op(values[i], values[i - 1]);</div>
 | 
						|
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno">  278</span>    }</div>
 | 
						|
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno">  279</span> </div>
 | 
						|
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno">  280</span>    <span class="comment">// Compute exclusive scan of thread sums</span></div>
 | 
						|
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno">  281</span>    U prev_thread = op.simd_exclusive_scan(values[N_READS - 1]);</div>
 | 
						|
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno">  282</span> </div>
 | 
						|
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno">  283</span>    <span class="comment">// Write simdgroup_sums to SM</span></div>
 | 
						|
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno">  284</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="l00285" name="l00285"></a><span class="lineno">  285</span>      simdgroup_sums[simd_group_id] = op(prev_thread, values[N_READS - 1]);</div>
 | 
						|
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno">  286</span>    }</div>
 | 
						|
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno">  287</span>    threadgroup_barrier(mem_flags::mem_threadgroup);</div>
 | 
						|
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno">  288</span> </div>
 | 
						|
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno">  289</span>    <span class="comment">// Compute exclusive scan of simdgroup_sums</span></div>
 | 
						|
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno">  290</span>    <span class="keywordflow">if</span> (simd_group_id == 0) {</div>
 | 
						|
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno">  291</span>      U prev_simdgroup = op.simd_exclusive_scan(simdgroup_sums[simd_lane_id]);</div>
 | 
						|
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno">  292</span>      simdgroup_sums[simd_lane_id] = prev_simdgroup;</div>
 | 
						|
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno">  293</span>    }</div>
 | 
						|
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno">  294</span>    threadgroup_barrier(mem_flags::mem_threadgroup);</div>
 | 
						|
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno">  295</span> </div>
 | 
						|
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno">  296</span>    <span class="comment">// Compute the output</span></div>
 | 
						|
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno">  297</span>    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < N_READS; i++) {</div>
 | 
						|
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno">  298</span>      values[i] = op(values[i], prefix);</div>
 | 
						|
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno">  299</span>      values[i] = op(values[i], simdgroup_sums[simd_group_id]);</div>
 | 
						|
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno">  300</span>      values[i] = op(values[i], prev_thread);</div>
 | 
						|
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno">  301</span>    }</div>
 | 
						|
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno">  302</span> </div>
 | 
						|
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno">  303</span>    <span class="comment">// Write the values</span></div>
 | 
						|
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno">  304</span>    <span class="keywordflow">if</span> (reverse) {</div>
 | 
						|
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno">  305</span>      <span class="keywordflow">if</span> (inclusive) {</div>
 | 
						|
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno">  306</span>        <span class="keywordflow">if</span> ((offset + N_READS) < axis_size) {</div>
 | 
						|
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno">  307</span>          <a class="code hl_function" href="scan_8h.html#a8010e7bdf7a72cbd35ce7cd7ecb08e32">write_unsafe<U, N_READS, reverse></a>(</div>
 | 
						|
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno">  308</span>              values, out + axis_size - offset - N_READS);</div>
 | 
						|
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno">  309</span>        } <span class="keywordflow">else</span> {</div>
 | 
						|
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno">  310</span>          <a class="code hl_function" href="scan_8h.html#ae86aef08e5ebc8790031eb51eefa754c">write_safe<U, N_READS, reverse></a>(</div>
 | 
						|
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno">  311</span>              values, out + axis_size - offset - N_READS, offset, axis_size);</div>
 | 
						|
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno">  312</span>        }</div>
 | 
						|
<div class="line"><a id="l00313" name="l00313"></a><span class="lineno">  313</span>      } <span class="keywordflow">else</span> {</div>
 | 
						|
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno">  314</span>        <span class="keywordflow">if</span> (lid.x == 0 && offset == 0) {</div>
 | 
						|
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno">  315</span>          out[axis_size - 1] = Op::init;</div>
 | 
						|
<div class="line"><a id="l00316" name="l00316"></a><span class="lineno">  316</span>        }</div>
 | 
						|
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno">  317</span>        <span class="keywordflow">if</span> ((offset + N_READS + 1) < axis_size) {</div>
 | 
						|
<div class="line"><a id="l00318" name="l00318"></a><span class="lineno">  318</span>          <a class="code hl_function" href="scan_8h.html#a8010e7bdf7a72cbd35ce7cd7ecb08e32">write_unsafe<U, N_READS, reverse></a>(</div>
 | 
						|
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno">  319</span>              values, out + axis_size - offset - 1 - N_READS);</div>
 | 
						|
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno">  320</span>        } <span class="keywordflow">else</span> {</div>
 | 
						|
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno">  321</span>          <a class="code hl_function" href="scan_8h.html#ae86aef08e5ebc8790031eb51eefa754c">write_safe<U, N_READS, reverse></a>(</div>
 | 
						|
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno">  322</span>              values,</div>
 | 
						|
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno">  323</span>              out + axis_size - offset - 1 - N_READS,</div>
 | 
						|
<div class="line"><a id="l00324" name="l00324"></a><span class="lineno">  324</span>              offset + 1,</div>
 | 
						|
<div class="line"><a id="l00325" name="l00325"></a><span class="lineno">  325</span>              axis_size);</div>
 | 
						|
<div class="line"><a id="l00326" name="l00326"></a><span class="lineno">  326</span>        }</div>
 | 
						|
<div class="line"><a id="l00327" name="l00327"></a><span class="lineno">  327</span>      }</div>
 | 
						|
<div class="line"><a id="l00328" name="l00328"></a><span class="lineno">  328</span>    } <span class="keywordflow">else</span> {</div>
 | 
						|
<div class="line"><a id="l00329" name="l00329"></a><span class="lineno">  329</span>      <span class="keywordflow">if</span> (inclusive) {</div>
 | 
						|
<div class="line"><a id="l00330" name="l00330"></a><span class="lineno">  330</span>        <span class="keywordflow">if</span> ((offset + N_READS) < axis_size) {</div>
 | 
						|
<div class="line"><a id="l00331" name="l00331"></a><span class="lineno">  331</span>          <a class="code hl_function" href="scan_8h.html#a8010e7bdf7a72cbd35ce7cd7ecb08e32">write_unsafe<U, N_READS, reverse></a>(values, out + offset);</div>
 | 
						|
<div class="line"><a id="l00332" name="l00332"></a><span class="lineno">  332</span>        } <span class="keywordflow">else</span> {</div>
 | 
						|
<div class="line"><a id="l00333" name="l00333"></a><span class="lineno">  333</span>          <a class="code hl_function" href="scan_8h.html#ae86aef08e5ebc8790031eb51eefa754c">write_safe<U, N_READS, reverse></a>(</div>
 | 
						|
<div class="line"><a id="l00334" name="l00334"></a><span class="lineno">  334</span>              values, out + offset, offset, axis_size);</div>
 | 
						|
<div class="line"><a id="l00335" name="l00335"></a><span class="lineno">  335</span>        }</div>
 | 
						|
<div class="line"><a id="l00336" name="l00336"></a><span class="lineno">  336</span>      } <span class="keywordflow">else</span> {</div>
 | 
						|
<div class="line"><a id="l00337" name="l00337"></a><span class="lineno">  337</span>        <span class="keywordflow">if</span> (lid.x == 0 && offset == 0) {</div>
 | 
						|
<div class="line"><a id="l00338" name="l00338"></a><span class="lineno">  338</span>          out[0] = Op::init;</div>
 | 
						|
<div class="line"><a id="l00339" name="l00339"></a><span class="lineno">  339</span>        }</div>
 | 
						|
<div class="line"><a id="l00340" name="l00340"></a><span class="lineno">  340</span>        <span class="keywordflow">if</span> ((offset + N_READS + 1) < axis_size) {</div>
 | 
						|
<div class="line"><a id="l00341" name="l00341"></a><span class="lineno">  341</span>          <a class="code hl_function" href="scan_8h.html#a8010e7bdf7a72cbd35ce7cd7ecb08e32">write_unsafe<U, N_READS, reverse></a>(values, out + offset + 1);</div>
 | 
						|
<div class="line"><a id="l00342" name="l00342"></a><span class="lineno">  342</span>        } <span class="keywordflow">else</span> {</div>
 | 
						|
<div class="line"><a id="l00343" name="l00343"></a><span class="lineno">  343</span>          <a class="code hl_function" href="scan_8h.html#ae86aef08e5ebc8790031eb51eefa754c">write_safe<U, N_READS, reverse></a>(</div>
 | 
						|
<div class="line"><a id="l00344" name="l00344"></a><span class="lineno">  344</span>              values, out + offset + 1, offset + 1, axis_size);</div>
 | 
						|
<div class="line"><a id="l00345" name="l00345"></a><span class="lineno">  345</span>        }</div>
 | 
						|
<div class="line"><a id="l00346" name="l00346"></a><span class="lineno">  346</span>      }</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>    threadgroup_barrier(mem_flags::mem_threadgroup);</div>
 | 
						|
<div class="line"><a id="l00349" name="l00349"></a><span class="lineno">  349</span> </div>
 | 
						|
<div class="line"><a id="l00350" name="l00350"></a><span class="lineno">  350</span>    <span class="comment">// Share the prefix</span></div>
 | 
						|
<div class="line"><a id="l00351" name="l00351"></a><span class="lineno">  351</span>    <span class="keywordflow">if</span> (simd_group_id == simd_groups - 1 && 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="l00352" name="l00352"></a><span class="lineno">  352</span>      simdgroup_sums[0] = values[N_READS - 1];</div>
 | 
						|
<div class="line"><a id="l00353" name="l00353"></a><span class="lineno">  353</span>    }</div>
 | 
						|
<div class="line"><a id="l00354" name="l00354"></a><span class="lineno">  354</span>    threadgroup_barrier(mem_flags::mem_threadgroup);</div>
 | 
						|
<div class="line"><a id="l00355" name="l00355"></a><span class="lineno">  355</span>    prefix = simdgroup_sums[0];</div>
 | 
						|
<div class="line"><a id="l00356" name="l00356"></a><span class="lineno">  356</span>  }</div>
 | 
						|
<div class="line"><a id="l00357" name="l00357"></a><span class="lineno">  357</span>}</div>
 | 
						|
</div>
 | 
						|
<div class="line"><a id="l00358" name="l00358"></a><span class="lineno">  358</span> </div>
 | 
						|
<div class="line"><a id="l00359" name="l00359"></a><span class="lineno">  359</span><span class="keyword">template</span> <</div>
 | 
						|
<div class="line"><a id="l00360" name="l00360"></a><span class="lineno">  360</span>    <span class="keyword">typename</span> T,</div>
 | 
						|
<div class="line"><a id="l00361" name="l00361"></a><span class="lineno">  361</span>    <span class="keyword">typename</span> U,</div>
 | 
						|
<div class="line"><a id="l00362" name="l00362"></a><span class="lineno">  362</span>    <span class="keyword">typename</span> Op,</div>
 | 
						|
<div class="line"><a id="l00363" name="l00363"></a><span class="lineno">  363</span>    <span class="keywordtype">int</span> N_READS,</div>
 | 
						|
<div class="line"><a id="l00364" name="l00364"></a><span class="lineno">  364</span>    <span class="keywordtype">bool</span> inclusive,</div>
 | 
						|
<div class="line"><a id="l00365" name="l00365"></a><span class="lineno">  365</span>    <span class="keywordtype">bool</span> reverse></div>
 | 
						|
<div class="foldopen" id="foldopen00366" data-start="{" data-end="}">
 | 
						|
<div class="line"><a id="l00366" name="l00366"></a><span class="lineno"><a class="line" href="scan_8h.html#a7abb6ffb6c3b96b88c2a63cd4cc2f7ae">  366</a></span>[[kernel]] <span class="keywordtype">void</span> <a class="code hl_function" href="scan_8h.html#a7abb6ffb6c3b96b88c2a63cd4cc2f7ae">strided_scan</a>(</div>
 | 
						|
<div class="line"><a id="l00367" name="l00367"></a><span class="lineno">  367</span>    <span class="keyword">const</span> device T* in [[buffer(0)]],</div>
 | 
						|
<div class="line"><a id="l00368" name="l00368"></a><span class="lineno">  368</span>    device U* out [[buffer(1)]],</div>
 | 
						|
<div class="line"><a id="l00369" name="l00369"></a><span class="lineno">  369</span>    <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>& axis_size [[buffer(2)]],</div>
 | 
						|
<div class="line"><a id="l00370" name="l00370"></a><span class="lineno">  370</span>    <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>& stride [[buffer(3)]],</div>
 | 
						|
<div class="line"><a id="l00371" name="l00371"></a><span class="lineno">  371</span>    <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>& stride_blocks [[buffer(4)]],</div>
 | 
						|
<div class="line"><a id="l00372" name="l00372"></a><span class="lineno">  372</span>    uint3 gid [[threadgroup_position_in_grid]],</div>
 | 
						|
<div class="line"><a id="l00373" name="l00373"></a><span class="lineno">  373</span>    uint3 gsize [[threadgroups_per_grid]],</div>
 | 
						|
<div class="line"><a id="l00374" name="l00374"></a><span class="lineno">  374</span>    uint3 lid [[thread_position_in_threadgroup]],</div>
 | 
						|
<div class="line"><a id="l00375" name="l00375"></a><span class="lineno">  375</span>    uint simd_lane_id [[thread_index_in_simdgroup]],</div>
 | 
						|
<div class="line"><a id="l00376" name="l00376"></a><span class="lineno">  376</span>    uint simd_group_id [[simdgroup_index_in_threadgroup]]) {</div>
 | 
						|
<div class="line"><a id="l00377" name="l00377"></a><span class="lineno">  377</span>  <span class="keyword">constexpr</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="backend_2metal_2kernels_2reduction_2ops_8h.html#a515b75d563a93d3c09ee677948dc83e3">simd_size</a> = 32;</div>
 | 
						|
<div class="line"><a id="l00378" name="l00378"></a><span class="lineno">  378</span>  <span class="keyword">constexpr</span> <span class="keywordtype">int</span> BM = 32;</div>
 | 
						|
<div class="line"><a id="l00379" name="l00379"></a><span class="lineno">  379</span>  <span class="keyword">constexpr</span> <span class="keywordtype">int</span> BN = 32;</div>
 | 
						|
<div class="line"><a id="l00380" name="l00380"></a><span class="lineno">  380</span>  <span class="keyword">constexpr</span> <span class="keywordtype">int</span> BN_pad = 32 + 16 / <span class="keyword">sizeof</span>(U);</div>
 | 
						|
<div class="line"><a id="l00381" name="l00381"></a><span class="lineno">  381</span>  <span class="keyword">constexpr</span> <span class="keywordtype">int</span> n_simds = BN / N_READS;</div>
 | 
						|
<div class="line"><a id="l00382" name="l00382"></a><span class="lineno">  382</span>  <span class="keyword">constexpr</span> <span class="keywordtype">int</span> n_scans = BN / n_simds;</div>
 | 
						|
<div class="line"><a id="l00383" name="l00383"></a><span class="lineno">  383</span>  Op op;</div>
 | 
						|
<div class="line"><a id="l00384" name="l00384"></a><span class="lineno">  384</span> </div>
 | 
						|
<div class="line"><a id="l00385" name="l00385"></a><span class="lineno">  385</span>  threadgroup U read_buffer[BM * BN_pad];</div>
 | 
						|
<div class="line"><a id="l00386" name="l00386"></a><span class="lineno">  386</span>  U values[n_scans];</div>
 | 
						|
<div class="line"><a id="l00387" name="l00387"></a><span class="lineno">  387</span>  U prefix[n_scans];</div>
 | 
						|
<div class="line"><a id="l00388" name="l00388"></a><span class="lineno">  388</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < n_scans; i++) {</div>
 | 
						|
<div class="line"><a id="l00389" name="l00389"></a><span class="lineno">  389</span>    prefix[i] = Op::init;</div>
 | 
						|
<div class="line"><a id="l00390" name="l00390"></a><span class="lineno">  390</span>  }</div>
 | 
						|
<div class="line"><a id="l00391" name="l00391"></a><span class="lineno">  391</span> </div>
 | 
						|
<div class="line"><a id="l00392" name="l00392"></a><span class="lineno">  392</span>  <span class="comment">// Compute offsets</span></div>
 | 
						|
<div class="line"><a id="l00393" name="l00393"></a><span class="lineno">  393</span>  <span class="keywordtype">size_t</span> full_gid = gid.y + gsize.y * size_t(gid.z);</div>
 | 
						|
<div class="line"><a id="l00394" name="l00394"></a><span class="lineno">  394</span>  <span class="keywordtype">size_t</span> offset = full_gid / stride_blocks * axis_size * stride;</div>
 | 
						|
<div class="line"><a id="l00395" name="l00395"></a><span class="lineno">  395</span>  <span class="keywordtype">size_t</span> global_index_x = full_gid % stride_blocks * BN;</div>
 | 
						|
<div class="line"><a id="l00396" name="l00396"></a><span class="lineno">  396</span>  uint read_offset_y = (lid.x * N_READS) / BN;</div>
 | 
						|
<div class="line"><a id="l00397" name="l00397"></a><span class="lineno">  397</span>  uint read_offset_x = (lid.x * N_READS) % BN;</div>
 | 
						|
<div class="line"><a id="l00398" name="l00398"></a><span class="lineno">  398</span>  uint scan_offset_y = simd_lane_id;</div>
 | 
						|
<div class="line"><a id="l00399" name="l00399"></a><span class="lineno">  399</span>  uint scan_offset_x = simd_group_id * n_scans;</div>
 | 
						|
<div class="line"><a id="l00400" name="l00400"></a><span class="lineno">  400</span> </div>
 | 
						|
<div class="line"><a id="l00401" name="l00401"></a><span class="lineno">  401</span>  uint stride_limit = stride - global_index_x;</div>
 | 
						|
<div class="line"><a id="l00402" name="l00402"></a><span class="lineno">  402</span>  in += offset + global_index_x + read_offset_x;</div>
 | 
						|
<div class="line"><a id="l00403" name="l00403"></a><span class="lineno">  403</span>  out += offset + global_index_x + read_offset_x;</div>
 | 
						|
<div class="line"><a id="l00404" name="l00404"></a><span class="lineno">  404</span>  threadgroup U* read_into =</div>
 | 
						|
<div class="line"><a id="l00405" name="l00405"></a><span class="lineno">  405</span>      read_buffer + read_offset_y * BN_pad + read_offset_x;</div>
 | 
						|
<div class="line"><a id="l00406" name="l00406"></a><span class="lineno">  406</span>  threadgroup U* read_from =</div>
 | 
						|
<div class="line"><a id="l00407" name="l00407"></a><span class="lineno">  407</span>      read_buffer + scan_offset_y * BN_pad + scan_offset_x;</div>
 | 
						|
<div class="line"><a id="l00408" name="l00408"></a><span class="lineno">  408</span> </div>
 | 
						|
<div class="line"><a id="l00409" name="l00409"></a><span class="lineno">  409</span>  <span class="keywordflow">for</span> (uint j = 0; j < axis_size; j += BM) {</div>
 | 
						|
<div class="line"><a id="l00410" name="l00410"></a><span class="lineno">  410</span>    <span class="comment">// Calculate the indices for the current thread</span></div>
 | 
						|
<div class="line"><a id="l00411" name="l00411"></a><span class="lineno">  411</span>    uint index_y = j + read_offset_y;</div>
 | 
						|
<div class="line"><a id="l00412" name="l00412"></a><span class="lineno">  412</span>    uint check_index_y = index_y;</div>
 | 
						|
<div class="line"><a id="l00413" name="l00413"></a><span class="lineno">  413</span>    <span class="keywordflow">if</span> (reverse) {</div>
 | 
						|
<div class="line"><a id="l00414" name="l00414"></a><span class="lineno">  414</span>      index_y = axis_size - 1 - index_y;</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>    <span class="comment">// Read in SM</span></div>
 | 
						|
<div class="line"><a id="l00418" name="l00418"></a><span class="lineno">  418</span>    <span class="keywordflow">if</span> (check_index_y < axis_size && (read_offset_x + N_READS) < stride_limit) {</div>
 | 
						|
<div class="line"><a id="l00419" name="l00419"></a><span class="lineno">  419</span>      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < N_READS; i++) {</div>
 | 
						|
<div class="line"><a id="l00420" name="l00420"></a><span class="lineno">  420</span>        read_into[i] = in[index_y * stride + i];</div>
 | 
						|
<div class="line"><a id="l00421" name="l00421"></a><span class="lineno">  421</span>      }</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>      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < N_READS; i++) {</div>
 | 
						|
<div class="line"><a id="l00424" name="l00424"></a><span class="lineno">  424</span>        <span class="keywordflow">if</span> (check_index_y < axis_size && (read_offset_x + i) < stride_limit) {</div>
 | 
						|
<div class="line"><a id="l00425" name="l00425"></a><span class="lineno">  425</span>          read_into[i] = in[index_y * stride + i];</div>
 | 
						|
<div class="line"><a id="l00426" name="l00426"></a><span class="lineno">  426</span>        } <span class="keywordflow">else</span> {</div>
 | 
						|
<div class="line"><a id="l00427" name="l00427"></a><span class="lineno">  427</span>          read_into[i] = Op::init;</div>
 | 
						|
<div class="line"><a id="l00428" name="l00428"></a><span class="lineno">  428</span>        }</div>
 | 
						|
<div class="line"><a id="l00429" name="l00429"></a><span class="lineno">  429</span>      }</div>
 | 
						|
<div class="line"><a id="l00430" name="l00430"></a><span class="lineno">  430</span>    }</div>
 | 
						|
<div class="line"><a id="l00431" name="l00431"></a><span class="lineno">  431</span>    threadgroup_barrier(mem_flags::mem_threadgroup);</div>
 | 
						|
<div class="line"><a id="l00432" name="l00432"></a><span class="lineno">  432</span> </div>
 | 
						|
<div class="line"><a id="l00433" name="l00433"></a><span class="lineno">  433</span>    <span class="comment">// Read strided into registers</span></div>
 | 
						|
<div class="line"><a id="l00434" name="l00434"></a><span class="lineno">  434</span>    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < n_scans; i++) {</div>
 | 
						|
<div class="line"><a id="l00435" name="l00435"></a><span class="lineno">  435</span>      values[i] = read_from[i];</div>
 | 
						|
<div class="line"><a id="l00436" name="l00436"></a><span class="lineno">  436</span>    }</div>
 | 
						|
<div class="line"><a id="l00437" name="l00437"></a><span class="lineno">  437</span>    simdgroup_barrier(mem_flags::mem_threadgroup);</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>    <span class="comment">// Perform the scan</span></div>
 | 
						|
<div class="line"><a id="l00440" name="l00440"></a><span class="lineno">  440</span>    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < n_scans; i++) {</div>
 | 
						|
<div class="line"><a id="l00441" name="l00441"></a><span class="lineno">  441</span>      values[i] = op.simd_scan(values[i]);</div>
 | 
						|
<div class="line"><a id="l00442" name="l00442"></a><span class="lineno">  442</span>      values[i] = op(values[i], prefix[i]);</div>
 | 
						|
<div class="line"><a id="l00443" name="l00443"></a><span class="lineno">  443</span>      prefix[i] = <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a71986ecdd7d18f975dd22c3df7421ce2">simd_shuffle</a>(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="l00444" name="l00444"></a><span class="lineno">  444</span>    }</div>
 | 
						|
<div class="line"><a id="l00445" name="l00445"></a><span class="lineno">  445</span> </div>
 | 
						|
<div class="line"><a id="l00446" name="l00446"></a><span class="lineno">  446</span>    <span class="comment">// Write to SM</span></div>
 | 
						|
<div class="line"><a id="l00447" name="l00447"></a><span class="lineno">  447</span>    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < n_scans; i++) {</div>
 | 
						|
<div class="line"><a id="l00448" name="l00448"></a><span class="lineno">  448</span>      read_from[i] = values[i];</div>
 | 
						|
<div class="line"><a id="l00449" name="l00449"></a><span class="lineno">  449</span>    }</div>
 | 
						|
<div class="line"><a id="l00450" name="l00450"></a><span class="lineno">  450</span>    threadgroup_barrier(mem_flags::mem_threadgroup);</div>
 | 
						|
<div class="line"><a id="l00451" name="l00451"></a><span class="lineno">  451</span> </div>
 | 
						|
<div class="line"><a id="l00452" name="l00452"></a><span class="lineno">  452</span>    <span class="comment">// Write to device memory</span></div>
 | 
						|
<div class="line"><a id="l00453" name="l00453"></a><span class="lineno">  453</span>    <span class="keywordflow">if</span> (!inclusive) {</div>
 | 
						|
<div class="line"><a id="l00454" name="l00454"></a><span class="lineno">  454</span>      <span class="keywordflow">if</span> (check_index_y == 0) {</div>
 | 
						|
<div class="line"><a id="l00455" name="l00455"></a><span class="lineno">  455</span>        <span class="keywordflow">if</span> ((read_offset_x + N_READS) < stride_limit) {</div>
 | 
						|
<div class="line"><a id="l00456" name="l00456"></a><span class="lineno">  456</span>          <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < N_READS; i++) {</div>
 | 
						|
<div class="line"><a id="l00457" name="l00457"></a><span class="lineno">  457</span>            out[index_y * stride + i] = Op::init;</div>
 | 
						|
<div class="line"><a id="l00458" name="l00458"></a><span class="lineno">  458</span>          }</div>
 | 
						|
<div class="line"><a id="l00459" name="l00459"></a><span class="lineno">  459</span>        } <span class="keywordflow">else</span> {</div>
 | 
						|
<div class="line"><a id="l00460" name="l00460"></a><span class="lineno">  460</span>          <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < N_READS; i++) {</div>
 | 
						|
<div class="line"><a id="l00461" name="l00461"></a><span class="lineno">  461</span>            <span class="keywordflow">if</span> ((read_offset_x + i) < stride_limit) {</div>
 | 
						|
<div class="line"><a id="l00462" name="l00462"></a><span class="lineno">  462</span>              out[index_y * stride + i] = Op::init;</div>
 | 
						|
<div class="line"><a id="l00463" name="l00463"></a><span class="lineno">  463</span>            }</div>
 | 
						|
<div class="line"><a id="l00464" name="l00464"></a><span class="lineno">  464</span>          }</div>
 | 
						|
<div class="line"><a id="l00465" name="l00465"></a><span class="lineno">  465</span>        }</div>
 | 
						|
<div class="line"><a id="l00466" name="l00466"></a><span class="lineno">  466</span>      }</div>
 | 
						|
<div class="line"><a id="l00467" name="l00467"></a><span class="lineno">  467</span>      <span class="keywordflow">if</span> (reverse) {</div>
 | 
						|
<div class="line"><a id="l00468" name="l00468"></a><span class="lineno">  468</span>        index_y -= 1;</div>
 | 
						|
<div class="line"><a id="l00469" name="l00469"></a><span class="lineno">  469</span>        check_index_y += 1;</div>
 | 
						|
<div class="line"><a id="l00470" name="l00470"></a><span class="lineno">  470</span>      } <span class="keywordflow">else</span> {</div>
 | 
						|
<div class="line"><a id="l00471" name="l00471"></a><span class="lineno">  471</span>        index_y += 1;</div>
 | 
						|
<div class="line"><a id="l00472" name="l00472"></a><span class="lineno">  472</span>        check_index_y += 1;</div>
 | 
						|
<div class="line"><a id="l00473" name="l00473"></a><span class="lineno">  473</span>      }</div>
 | 
						|
<div class="line"><a id="l00474" name="l00474"></a><span class="lineno">  474</span>    }</div>
 | 
						|
<div class="line"><a id="l00475" name="l00475"></a><span class="lineno">  475</span>    <span class="keywordflow">if</span> (check_index_y < axis_size && (read_offset_x + N_READS) < stride_limit) {</div>
 | 
						|
<div class="line"><a id="l00476" name="l00476"></a><span class="lineno">  476</span>      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < N_READS; i++) {</div>
 | 
						|
<div class="line"><a id="l00477" name="l00477"></a><span class="lineno">  477</span>        out[index_y * stride + i] = read_into[i];</div>
 | 
						|
<div class="line"><a id="l00478" name="l00478"></a><span class="lineno">  478</span>      }</div>
 | 
						|
<div class="line"><a id="l00479" name="l00479"></a><span class="lineno">  479</span>    } <span class="keywordflow">else</span> {</div>
 | 
						|
<div class="line"><a id="l00480" name="l00480"></a><span class="lineno">  480</span>      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < N_READS; i++) {</div>
 | 
						|
<div class="line"><a id="l00481" name="l00481"></a><span class="lineno">  481</span>        <span class="keywordflow">if</span> (check_index_y < axis_size && (read_offset_x + i) < stride_limit) {</div>
 | 
						|
<div class="line"><a id="l00482" name="l00482"></a><span class="lineno">  482</span>          out[index_y * stride + i] = read_into[i];</div>
 | 
						|
<div class="line"><a id="l00483" name="l00483"></a><span class="lineno">  483</span>        }</div>
 | 
						|
<div class="line"><a id="l00484" name="l00484"></a><span class="lineno">  484</span>      }</div>
 | 
						|
<div class="line"><a id="l00485" name="l00485"></a><span class="lineno">  485</span>    }</div>
 | 
						|
<div class="line"><a id="l00486" name="l00486"></a><span class="lineno">  486</span>  }</div>
 | 
						|
<div class="line"><a id="l00487" name="l00487"></a><span class="lineno">  487</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_a5862d5ea154c9b76cf56a630cf6385b4"><div class="ttname"><a href="backend_2metal_2kernels_2utils_8h.html#a5862d5ea154c9b76cf56a630cf6385b4">simd_shuffle_and_fill_up</a></div><div class="ttdeci">uint64_t simd_shuffle_and_fill_up(uint64_t data, uint64_t filling, uint16_t delta)</div><div class="ttdef"><b>Definition</b> utils.h:372</div></div>
 | 
						|
<div class="ttc" id="abackend_2metal_2kernels_2utils_8h_html_a71986ecdd7d18f975dd22c3df7421ce2"><div class="ttname"><a href="backend_2metal_2kernels_2utils_8h.html#a71986ecdd7d18f975dd22c3df7421ce2">simd_shuffle</a></div><div class="ttdeci">uint64_t simd_shuffle(uint64_t data, uint16_t lane)</div><div class="ttdef"><b>Definition</b> utils.h:397</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:302</div></div>
 | 
						|
<div class="ttc" id="ascan_8h_html_a0d8d6a9b0f3a1263629380bda8eca7bc"><div class="ttname"><a href="scan_8h.html#a0d8d6a9b0f3a1263629380bda8eca7bc">DEFINE_SIMD_SCAN</a></div><div class="ttdeci">#define DEFINE_SIMD_SCAN()</div><div class="ttdef"><b>Definition</b> scan.h:5</div></div>
 | 
						|
<div class="ttc" id="ascan_8h_html_a185f66aac8c5317587e6abd43f3013fc"><div class="ttname"><a href="scan_8h.html#a185f66aac8c5317587e6abd43f3013fc">DEFINE_SIMD_EXCLUSIVE_SCAN</a></div><div class="ttdeci">#define DEFINE_SIMD_EXCLUSIVE_SCAN()</div><div class="ttdef"><b>Definition</b> scan.h:19</div></div>
 | 
						|
<div class="ttc" id="ascan_8h_html_a60d279b9add7d56639bb209408f09d79"><div class="ttname"><a href="scan_8h.html#a60d279b9add7d56639bb209408f09d79">contiguous_scan</a></div><div class="ttdeci">void contiguous_scan(const device T *in, device U *out, const constant size_t &axis_size, uint3 gid, uint3 gsize, uint3 lid, uint3 lsize, uint simd_lane_id, uint simd_group_id)</div><div class="ttdef"><b>Definition</b> scan.h:211</div></div>
 | 
						|
<div class="ttc" id="ascan_8h_html_a7abb6ffb6c3b96b88c2a63cd4cc2f7ae"><div class="ttname"><a href="scan_8h.html#a7abb6ffb6c3b96b88c2a63cd4cc2f7ae">strided_scan</a></div><div class="ttdeci">void strided_scan(const device T *in, device U *out, const constant size_t &axis_size, const constant size_t &stride, const constant size_t &stride_blocks, uint3 gid, uint3 gsize, uint3 lid, uint simd_lane_id, uint simd_group_id)</div><div class="ttdef"><b>Definition</b> scan.h:366</div></div>
 | 
						|
<div class="ttc" id="ascan_8h_html_a8010e7bdf7a72cbd35ce7cd7ecb08e32"><div class="ttname"><a href="scan_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:175</div></div>
 | 
						|
<div class="ttc" id="ascan_8h_html_a9c415d07921f3961bad0a00a34f4a9a3"><div class="ttname"><a href="scan_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:143</div></div>
 | 
						|
<div class="ttc" id="ascan_8h_html_ae86aef08e5ebc8790031eb51eefa754c"><div class="ttname"><a href="scan_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:188</div></div>
 | 
						|
<div class="ttc" id="ascan_8h_html_ae8eb101e538b85f8a4bcf451489ae0ac"><div class="ttname"><a href="scan_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:156</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:97</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:98</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:101</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:105</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:113</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:120</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:128</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:136</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:121</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:124</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< bool >::simd_exclusive_scan</a></div><div class="ttdeci">bool simd_exclusive_scan(bool x)</div><div class="ttdef"><b>Definition</b> scan.h:90</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< bool >::simd_scan</a></div><div class="ttdeci">bool simd_scan(bool x)</div><div class="ttdef"><b>Definition</b> scan.h:82</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< bool >::operator()</a></div><div class="ttdeci">bool operator()(bool a, T b)</div><div class="ttdef"><b>Definition</b> scan.h:78</div></div>
 | 
						|
<div class="ttc" id="astruct_cum_prod_3_01bool_01_4_html_ae7a8b0ba9e6898356b87b18766e76d2c"><div class="ttname"><a href="struct_cum_prod_3_01bool_01_4.html#ae7a8b0ba9e6898356b87b18766e76d2c">CumProd< bool >::init</a></div><div class="ttdeci">static constexpr constant bool init</div><div class="ttdef"><b>Definition</b> scan.h:75</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:53</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:32</div></div>
 | 
						|
<div class="ttc" id="astruct_limits_html_a2f0673b6f9da89ce1d64f9f3d74f50a8"><div class="ttname"><a href="struct_limits.html#a2f0673b6f9da89ce1d64f9f3d74f50a8">Limits::max</a></div><div class="ttdeci">static const constant U max</div><div class="ttdef"><b>Definition</b> utils.h:24</div></div>
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