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<a href="reduce__col_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">// Copyright © 2023-2024 Apple Inc.</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span> </div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keyword">typename</span> U, <span class="keyword">typename</span> Op, <span class="keyword">typename</span> IdxT, <span class="keywordtype">int</span> NDIMS&gt;</div>
<div class="foldopen" id="foldopen00004" data-start="{" data-end="}">
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"><a class="line" href="reduce__col_8h.html#a82cd031d8014c02e61dc9a817ea6d4ec"> 4</a></span>[[kernel]] <span class="keywordtype">void</span> <a class="code hl_function" href="reduce__col_8h.html#a82cd031d8014c02e61dc9a817ea6d4ec">col_reduce_small</a>(</div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span> <span class="keyword">const</span> device T* in [[buffer(0)]],</div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span> device U* out [[buffer(1)]],</div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; reduction_size [[buffer(2)]],</div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; reduction_stride [[buffer(3)]],</div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>* shape [[buffer(4)]],</div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>* strides [[buffer(5)]],</div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>&amp; ndim [[buffer(6)]],</div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>* reduce_shape [[buffer(7)]],</div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>* reduce_strides [[buffer(8)]],</div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>&amp; reduce_ndim [[buffer(9)]],</div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; non_col_reductions [[buffer(10)]],</div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> uint3 gid [[threadgroup_position_in_grid]],</div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> uint3 gsize [[threadgroups_per_grid]],</div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> uint3 lid [[thread_position_in_threadgroup]],</div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> uint3 lsize [[threads_per_threadgroup]]) {</div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> <span class="keyword">constexpr</span> <span class="keywordtype">int</span> n_reads = 4;</div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> Op <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>;</div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> <a class="code hl_struct" href="struct_looped_elem_to_loc.html">LoopedElemToLoc</a>&lt;NDIMS, IdxT, (NDIMS &gt; 2)&gt; loop(reduce_ndim);</div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> <span class="keyword">const</span> device T* row;</div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> </div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> U totals[n_reads];</div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> totals[i] = Op::init;</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> }</div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> </div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> IdxT column = IdxT(gid.x) * lsize.x * n_reads + lid.x * n_reads;</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <span class="keywordflow">if</span> (column &gt;= reduction_stride) {</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> }</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="keywordtype">bool</span> safe = column + n_reads &lt;= reduction_stride;</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> </div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> IdxT out_idx = gid.y + gsize.y * IdxT(gid.z);</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> IdxT in_idx = <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a22eaa505dbc7dd2a63a895f2e16712f5">elem_to_loc&lt;size_t, IdxT&gt;</a>(out_idx, shape, strides, ndim);</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> in += in_idx + column;</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> </div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> IdxT total_rows = IdxT(non_col_reductions) * IdxT(reduction_size);</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> loop.next(lid.y, reduce_shape, reduce_strides);</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="keywordflow">for</span> (IdxT r = lid.y; r &lt; total_rows; r += lsize.y) {</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> row = in + loop.location();</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keywordflow">if</span> (safe) {</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> totals[i] = <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>(<span class="keyword">static_cast&lt;</span>U<span class="keyword">&gt;</span>(row[i]), totals[i]);</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> }</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> U vals[n_reads];</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> vals[i] =</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> (column + i &lt; reduction_stride) ? static_cast&lt;U&gt;(row[i]) : <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>.init;</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> }</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> totals[i] = <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>(vals[i], totals[i]);</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> }</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> }</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> loop.next(lsize.y, reduce_shape, reduce_strides);</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> }</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> </div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="keywordflow">if</span> (lsize.y &gt; 1) {</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="comment">// lsize.y should be &lt;= 8</span></div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> threadgroup U shared_vals[32 * 8 * n_reads];</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> shared_vals[lid.y * lsize.x * n_reads + lid.x * n_reads + i] = totals[i];</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> }</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> threadgroup_barrier(mem_flags::mem_threadgroup);</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="keywordflow">if</span> (lid.y == 0) {</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> totals[i] = shared_vals[lid.x * n_reads + i];</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> }</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="keywordflow">for</span> (uint j = 1; j &lt; lsize.y; j++) {</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> totals[i] =</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>(shared_vals[j * lsize.x * n_reads + lid.x * n_reads + i],</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> totals[i]);</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> }</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> }</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> }</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> }</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> </div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="keywordflow">if</span> (lid.y == 0) {</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> out += out_idx * IdxT(reduction_stride) + column;</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keywordflow">if</span> (safe) {</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> out[i] = totals[i];</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> }</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; column + i &lt; reduction_stride; i++) {</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> out[i] = totals[i];</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> }</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> }</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> }</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> &lt;<span class="keyword">typename</span> T, <span class="keyword">typename</span> U, <span class="keyword">typename</span> Op, <span class="keyword">typename</span> IdxT, <span class="keywordtype">int</span> NDIMS&gt;</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="reduce__col_8h.html#aa3287cd98e97123b67b5d3920d984ca2"> 97</a></span>[[kernel]] <span class="keywordtype">void</span> <a class="code hl_function" href="reduce__col_8h.html#aa3287cd98e97123b67b5d3920d984ca2">col_reduce_longcolumn</a>(</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="keyword">const</span> device T* in [[buffer(0)]],</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> device U* out [[buffer(1)]],</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; reduction_size [[buffer(2)]],</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; reduction_stride [[buffer(3)]],</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>* shape [[buffer(4)]],</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>* strides [[buffer(5)]],</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>&amp; ndim [[buffer(6)]],</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>* reduce_shape [[buffer(7)]],</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>* reduce_strides [[buffer(8)]],</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>&amp; reduce_ndim [[buffer(9)]],</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; non_col_reductions [[buffer(10)]],</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; out_size [[buffer(11)]],</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> uint3 gid [[threadgroup_position_in_grid]],</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> uint3 gsize [[threadgroups_per_grid]],</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> uint3 lid [[thread_position_in_threadgroup]],</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> uint3 lsize [[threads_per_threadgroup]]) {</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> Op <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>;</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <a class="code hl_struct" href="struct_looped_elem_to_loc.html">LoopedElemToLoc</a>&lt;NDIMS, IdxT, (NDIMS &gt; 2)&gt; loop(reduce_ndim);</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <span class="keyword">const</span> device T* row;</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> </div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> IdxT out_idx = gid.x + gsize.x * IdxT(gid.y);</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> IdxT in_idx = <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a22eaa505dbc7dd2a63a895f2e16712f5">elem_to_loc&lt;size_t, IdxT&gt;</a>(out_idx, shape, strides, ndim);</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> in += in_idx + lid.x;</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> </div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> U total = Op::init;</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> IdxT total_rows = IdxT(non_col_reductions) * IdxT(reduction_size);</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> loop.next(gid.z * lsize.y + lid.y, reduce_shape, reduce_strides);</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="keywordflow">for</span> (IdxT r = gid.z * lsize.y + lid.y; r &lt; total_rows;</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> r += lsize.y * gsize.z) {</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> row = in + loop.location();</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> total = <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>(<span class="keyword">static_cast&lt;</span>U<span class="keyword">&gt;</span>(*row), total);</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> loop.next(lsize.y * gsize.z, reduce_shape, reduce_strides);</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> }</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> </div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> threadgroup U shared_vals[32 * 32];</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> shared_vals[lid.y * lsize.x + lid.x] = total;</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> threadgroup_barrier(mem_flags::mem_threadgroup);</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <span class="keywordflow">if</span> (lid.y == 0) {</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="keywordflow">for</span> (uint i = 1; i &lt; lsize.y; i++) {</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> total = <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>(total, shared_vals[i * lsize.x + lid.x]);</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> }</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> out[gid.z * IdxT(out_size) + out_idx * IdxT(reduction_stride) + lid.x] =</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> total;</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>}</div>
</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> </div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span><span class="keyword">template</span> &lt;</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <span class="keyword">typename</span> T,</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <span class="keyword">typename</span> U,</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> <span class="keyword">typename</span> Op,</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> <span class="keyword">typename</span> IdxT,</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> <span class="keywordtype">int</span> NDIMS,</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> <span class="keywordtype">int</span> BM,</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> <span class="keywordtype">int</span> BN&gt;</div>
<div class="foldopen" id="foldopen00163" data-start="{" data-end="}">
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"><a class="line" href="reduce__col_8h.html#ae8f9354e1c595142d05b33fe13988f02"> 163</a></span>[[kernel]] <span class="keywordtype">void</span> <a class="code hl_function" href="reduce__col_8h.html#ae8f9354e1c595142d05b33fe13988f02">col_reduce_looped</a>(</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <span class="keyword">const</span> device T* in [[buffer(0)]],</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> device U* out [[buffer(1)]],</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; reduction_size [[buffer(2)]],</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; reduction_stride [[buffer(3)]],</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>* shape [[buffer(4)]],</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>* strides [[buffer(5)]],</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>&amp; ndim [[buffer(6)]],</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>* reduce_shape [[buffer(7)]],</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>* reduce_strides [[buffer(8)]],</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>&amp; reduce_ndim [[buffer(9)]],</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; non_col_reductions [[buffer(10)]],</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> uint3 gid [[threadgroup_position_in_grid]],</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> uint3 gsize [[threadgroups_per_grid]],</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> uint simd_lane_id [[thread_index_in_simdgroup]],</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> uint simd_group_id [[simdgroup_index_in_threadgroup]]) {</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> Op <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>;</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> <span class="keyword">constexpr</span> <span class="keywordtype">int</span> n_simdgroups = 8;</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> tgp_size = n_simdgroups * <a class="code hl_variable" href="backend_2metal_2kernels_2reduction_2ops_8h.html#a515b75d563a93d3c09ee677948dc83e3">simd_size</a>;</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> n_reads = (BM * BN) / tgp_size;</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> n_read_blocks = BN / n_reads;</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> </div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> threadgroup U shared_vals[BN * BM];</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> U totals[n_reads];</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> <a class="code hl_struct" href="struct_looped_elem_to_loc.html">LoopedElemToLoc</a>&lt;NDIMS, IdxT, (NDIMS &gt; 2)&gt; loop(reduce_ndim);</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> <span class="keyword">const</span> device T* row;</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> </div>
<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 &lt; n_reads; i++) {</div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> totals[i] = Op::init;</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> }</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> </div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> <span class="keywordtype">short</span> lid = simd_group_id * <a class="code hl_variable" href="backend_2metal_2kernels_2reduction_2ops_8h.html#a515b75d563a93d3c09ee677948dc83e3">simd_size</a> + simd_lane_id;</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> short2 offset((lid % n_read_blocks) * n_reads, lid / n_read_blocks);</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> IdxT column = BN * gid.x + offset.x;</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> <span class="keywordtype">bool</span> safe = column + n_reads &lt;= reduction_stride;</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> </div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> IdxT out_idx = gid.y + gsize.y * IdxT(gid.z);</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> IdxT in_idx = <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a22eaa505dbc7dd2a63a895f2e16712f5">elem_to_loc&lt;size_t, IdxT&gt;</a>(out_idx, shape, strides, ndim);</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> in += in_idx + column;</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> </div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> IdxT total = IdxT(non_col_reductions) * IdxT(reduction_size);</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> loop.next(offset.y, reduce_shape, reduce_strides);</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="keywordflow">for</span> (IdxT r = offset.y; r &lt; total; r += BM) {</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> row = in + loop.location();</div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> </div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> <span class="keywordflow">if</span> (safe) {</div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> totals[i] = <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>(<span class="keyword">static_cast&lt;</span>U<span class="keyword">&gt;</span>(row[i]), totals[i]);</div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> }</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> U vals[n_reads];</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> vals[i] =</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> (column + i &lt; reduction_stride) ? static_cast&lt;U&gt;(row[i]) : <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>.init;</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> }</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> totals[i] = <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>(vals[i], totals[i]);</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> }</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> }</div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> </div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> loop.next(BM, reduce_shape, reduce_strides);</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> }</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> </div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> <span class="comment">// We can use a simd reduction to accumulate across BM so each thread writes</span></div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> <span class="comment">// the partial output to SM and then each simdgroup does BN / n_simdgroups</span></div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> <span class="comment">// accumulations.</span></div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> <span class="keywordflow">if</span> (BM == 32) {</div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> <span class="keyword">constexpr</span> <span class="keywordtype">int</span> n_outputs = BN / n_simdgroups;</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> <span class="keyword">static_assert</span>(</div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> BM != 32 || n_outputs == n_reads,</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> <span class="stringliteral">&quot;The tile should be selected such that n_outputs == n_reads&quot;</span>);</div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> shared_vals[offset.y * BN + offset.x + i] = totals[i];</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> threadgroup_barrier(mem_flags::mem_threadgroup);</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> short2 out_offset(simd_group_id * n_outputs, simd_lane_id);</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_outputs; i++) {</div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> totals[i] =</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>.simd_reduce(shared_vals[out_offset.y * BN + out_offset.x + i]);</div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> }</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> </div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> <span class="comment">// Write the output.</span></div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> <span class="keywordflow">if</span> (simd_lane_id == 0) {</div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> IdxT out_column = BN * gid.x + out_offset.x;</div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> out += out_idx * IdxT(reduction_stride) + out_column;</div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> <span class="keywordflow">if</span> (out_column + n_outputs &lt;= reduction_stride) {</div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_outputs; i++) {</div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> out[i] = totals[i];</div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> }</div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; out_column + i &lt; reduction_stride; i++) {</div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> out[i] = totals[i];</div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> }</div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> }</div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> }</div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> }</div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> </div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> <span class="comment">// Each thread holds n_reads partial results. We write them all out to shared</span></div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> <span class="comment">// memory and threads with offset.y == 0 aggregate the columns and write the</span></div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> <span class="comment">// outputs.</span></div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> <span class="keywordtype">short</span> x_block = offset.x / n_reads;</div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> shared_vals[x_block * BM * n_reads + i * BM + offset.y] = totals[i];</div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> }</div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> threadgroup_barrier(mem_flags::mem_threadgroup);</div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> <span class="keywordflow">if</span> (offset.y == 0) {</div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 1; j &lt; BM; j++) {</div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> totals[i] =</div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>(shared_vals[x_block * BM * n_reads + i * BM + j], totals[i]);</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> }</div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> }</div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> </div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> <span class="comment">// Write the output.</span></div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> <span class="keywordflow">if</span> (offset.y == 0) {</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> out += out_idx * IdxT(reduction_stride) + column;</div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> <span class="keywordflow">if</span> (safe) {</div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> out[i] = totals[i];</div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> }</div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; column + i &lt; reduction_stride; i++) {</div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> out[i] = totals[i];</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> }</div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> }</div>
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> }</div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span>}</div>
</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><span class="keyword">template</span> &lt;</div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> <span class="keyword">typename</span> T,</div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> <span class="keyword">typename</span> U,</div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> <span class="keyword">typename</span> Op,</div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> <span class="keyword">typename</span> IdxT,</div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> <span class="keywordtype">int</span> NDIMS,</div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> <span class="keywordtype">int</span> BM,</div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> <span class="keywordtype">int</span> BN&gt;</div>
<div class="foldopen" id="foldopen00302" data-start="{" data-end="}">
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"><a class="line" href="reduce__col_8h.html#a9a7be400d810700b47fc1a998032ce29"> 302</a></span>[[kernel]] <span class="keywordtype">void</span> <a class="code hl_function" href="reduce__col_8h.html#a9a7be400d810700b47fc1a998032ce29">col_reduce_2pass</a>(</div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> <span class="keyword">const</span> device T* in [[buffer(0)]],</div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> device U* out [[buffer(1)]],</div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; reduction_size [[buffer(2)]],</div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; reduction_stride [[buffer(3)]],</div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>* shape [[buffer(4)]],</div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>* strides [[buffer(5)]],</div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>&amp; ndim [[buffer(6)]],</div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>* reduce_shape [[buffer(7)]],</div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>* reduce_strides [[buffer(8)]],</div>
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>&amp; reduce_ndim [[buffer(9)]],</div>
<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; non_col_reductions [[buffer(10)]],</div>
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; out_size [[buffer(11)]],</div>
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> uint3 gid [[threadgroup_position_in_grid]],</div>
<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> uint3 gsize [[threadgroups_per_grid]],</div>
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> uint simd_lane_id [[thread_index_in_simdgroup]],</div>
<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> uint simd_group_id [[simdgroup_index_in_threadgroup]]) {</div>
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> Op <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>;</div>
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> <span class="keyword">constexpr</span> <span class="keywordtype">int</span> n_simdgroups = 8;</div>
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> tgp_size = n_simdgroups * <a class="code hl_variable" href="backend_2metal_2kernels_2reduction_2ops_8h.html#a515b75d563a93d3c09ee677948dc83e3">simd_size</a>;</div>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> n_reads = (BM * BN) / tgp_size;</div>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> n_read_blocks = BN / n_reads;</div>
<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> <span class="keyword">constexpr</span> <span class="keywordtype">int</span> n_outputs = BN / n_simdgroups;</div>
<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> outer_blocks = 32;</div>
<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</span> <span class="keyword">static_assert</span>(BM == 32, <span class="stringliteral">&quot;BM should be equal to 32&quot;</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> threadgroup U shared_vals[BN * BM];</div>
<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> U totals[n_reads];</div>
<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span> <a class="code hl_struct" href="struct_looped_elem_to_loc.html">LoopedElemToLoc</a>&lt;NDIMS, IdxT, (NDIMS &gt; 2)&gt; loop(reduce_ndim);</div>
<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span> <span class="keyword">const</span> device T* row;</div>
<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</span> </div>
<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span> totals[i] = Op::init;</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> </div>
<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span> <span class="keywordtype">short</span> lid = simd_group_id * <a class="code hl_variable" href="backend_2metal_2kernels_2reduction_2ops_8h.html#a515b75d563a93d3c09ee677948dc83e3">simd_size</a> + simd_lane_id;</div>
<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span> short2 offset((lid % n_read_blocks) * n_reads, lid / n_read_blocks);</div>
<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"> 339</span> IdxT column = BN * gid.x + offset.x;</div>
<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"> 340</span> <span class="keywordtype">bool</span> safe = column + n_reads &lt;= reduction_stride;</div>
<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span> </div>
<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span> IdxT full_idx = gid.y + gsize.y * IdxT(gid.z);</div>
<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span> IdxT block_idx = full_idx / IdxT(out_size);</div>
<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span> IdxT out_idx = full_idx % IdxT(out_size);</div>
<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"> 345</span> IdxT in_idx = <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a22eaa505dbc7dd2a63a895f2e16712f5">elem_to_loc&lt;size_t, IdxT&gt;</a>(out_idx, shape, strides, ndim);</div>
<div class="line"><a id="l00346" name="l00346"></a><span class="lineno"> 346</span> in += in_idx + column;</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> IdxT total = IdxT(non_col_reductions) * IdxT(reduction_size);</div>
<div class="line"><a id="l00349" name="l00349"></a><span class="lineno"> 349</span> loop.next(offset.y + block_idx * BM, reduce_shape, reduce_strides);</div>
<div class="line"><a id="l00350" name="l00350"></a><span class="lineno"> 350</span> <span class="keywordflow">for</span> (IdxT r = offset.y + block_idx * BM; r &lt; total; r += outer_blocks * BM) {</div>
<div class="line"><a id="l00351" name="l00351"></a><span class="lineno"> 351</span> row = in + loop.location();</div>
<div class="line"><a id="l00352" name="l00352"></a><span class="lineno"> 352</span> </div>
<div class="line"><a id="l00353" name="l00353"></a><span class="lineno"> 353</span> <span class="keywordflow">if</span> (safe) {</div>
<div class="line"><a id="l00354" name="l00354"></a><span class="lineno"> 354</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00355" name="l00355"></a><span class="lineno"> 355</span> totals[i] = <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>(<span class="keyword">static_cast&lt;</span>U<span class="keyword">&gt;</span>(row[i]), totals[i]);</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> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00358" name="l00358"></a><span class="lineno"> 358</span> U vals[n_reads];</div>
<div class="line"><a id="l00359" name="l00359"></a><span class="lineno"> 359</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00360" name="l00360"></a><span class="lineno"> 360</span> vals[i] =</div>
<div class="line"><a id="l00361" name="l00361"></a><span class="lineno"> 361</span> (column + i &lt; reduction_stride) ? static_cast&lt;U&gt;(row[i]) : <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>.init;</div>
<div class="line"><a id="l00362" name="l00362"></a><span class="lineno"> 362</span> }</div>
<div class="line"><a id="l00363" name="l00363"></a><span class="lineno"> 363</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00364" name="l00364"></a><span class="lineno"> 364</span> totals[i] = <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>(vals[i], totals[i]);</div>
<div class="line"><a id="l00365" name="l00365"></a><span class="lineno"> 365</span> }</div>
<div class="line"><a id="l00366" name="l00366"></a><span class="lineno"> 366</span> }</div>
<div class="line"><a id="l00367" name="l00367"></a><span class="lineno"> 367</span> </div>
<div class="line"><a id="l00368" name="l00368"></a><span class="lineno"> 368</span> loop.next(outer_blocks * BM, reduce_shape, reduce_strides);</div>
<div class="line"><a id="l00369" name="l00369"></a><span class="lineno"> 369</span> }</div>
<div class="line"><a id="l00370" name="l00370"></a><span class="lineno"> 370</span> </div>
<div class="line"><a id="l00371" name="l00371"></a><span class="lineno"> 371</span> <span class="comment">// We can use a simd reduction to accumulate across BM so each thread writes</span></div>
<div class="line"><a id="l00372" name="l00372"></a><span class="lineno"> 372</span> <span class="comment">// the partial output to SM and then each simdgroup does BN / n_simdgroups</span></div>
<div class="line"><a id="l00373" name="l00373"></a><span class="lineno"> 373</span> <span class="comment">// accumulations.</span></div>
<div class="line"><a id="l00374" name="l00374"></a><span class="lineno"> 374</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00375" name="l00375"></a><span class="lineno"> 375</span> shared_vals[offset.y * BN + offset.x + i] = totals[i];</div>
<div class="line"><a id="l00376" name="l00376"></a><span class="lineno"> 376</span> }</div>
<div class="line"><a id="l00377" name="l00377"></a><span class="lineno"> 377</span> threadgroup_barrier(mem_flags::mem_threadgroup);</div>
<div class="line"><a id="l00378" name="l00378"></a><span class="lineno"> 378</span> short2 out_offset(simd_group_id * n_outputs, simd_lane_id);</div>
<div class="line"><a id="l00379" name="l00379"></a><span class="lineno"> 379</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_outputs; i++) {</div>
<div class="line"><a id="l00380" name="l00380"></a><span class="lineno"> 380</span> totals[i] =</div>
<div class="line"><a id="l00381" name="l00381"></a><span class="lineno"> 381</span> <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>.simd_reduce(shared_vals[out_offset.y * BN + out_offset.x + i]);</div>
<div class="line"><a id="l00382" name="l00382"></a><span class="lineno"> 382</span> }</div>
<div class="line"><a id="l00383" name="l00383"></a><span class="lineno"> 383</span> </div>
<div class="line"><a id="l00384" name="l00384"></a><span class="lineno"> 384</span> <span class="comment">// Write the output.</span></div>
<div class="line"><a id="l00385" name="l00385"></a><span class="lineno"> 385</span> <span class="keywordflow">if</span> (simd_lane_id == 0) {</div>
<div class="line"><a id="l00386" name="l00386"></a><span class="lineno"> 386</span> IdxT out_column = BN * gid.x + out_offset.x;</div>
<div class="line"><a id="l00387" name="l00387"></a><span class="lineno"> 387</span> out += full_idx * IdxT(reduction_stride) + out_column;</div>
<div class="line"><a id="l00388" name="l00388"></a><span class="lineno"> 388</span> <span class="keywordflow">if</span> (out_column + n_outputs &lt;= reduction_stride) {</div>
<div class="line"><a id="l00389" name="l00389"></a><span class="lineno"> 389</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_outputs; i++) {</div>
<div class="line"><a id="l00390" name="l00390"></a><span class="lineno"> 390</span> out[i] = totals[i];</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="keywordflow">else</span> {</div>
<div class="line"><a id="l00393" name="l00393"></a><span class="lineno"> 393</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; out_column + i &lt; reduction_stride; i++) {</div>
<div class="line"><a id="l00394" name="l00394"></a><span class="lineno"> 394</span> out[i] = totals[i];</div>
<div class="line"><a id="l00395" name="l00395"></a><span class="lineno"> 395</span> }</div>
<div class="line"><a id="l00396" name="l00396"></a><span class="lineno"> 396</span> }</div>
<div class="line"><a id="l00397" name="l00397"></a><span class="lineno"> 397</span> }</div>
<div class="line"><a id="l00398" name="l00398"></a><span class="lineno"> 398</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_a22eaa505dbc7dd2a63a895f2e16712f5"><div class="ttname"><a href="backend_2metal_2kernels_2utils_8h.html#a22eaa505dbc7dd2a63a895f2e16712f5">elem_to_loc</a></div><div class="ttdeci">METAL_FUNC IdxT elem_to_loc(uint elem, constant const int *shape, constant const StrideT *strides, int ndim)</div><div class="ttdef"><b>Definition</b> utils.h:93</div></div>
<div class="ttc" id="acommon_2binary_8h_html_a70228731d29946574b238d21fb4b360c"><div class="ttname"><a href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a></div><div class="ttdeci">Op op</div><div class="ttdef"><b>Definition</b> binary.h:129</div></div>
<div class="ttc" id="areduce__col_8h_html_a82cd031d8014c02e61dc9a817ea6d4ec"><div class="ttname"><a href="reduce__col_8h.html#a82cd031d8014c02e61dc9a817ea6d4ec">col_reduce_small</a></div><div class="ttdeci">void col_reduce_small(const device T *in, device U *out, const constant size_t &amp;reduction_size, const constant size_t &amp;reduction_stride, const constant int *shape, const constant size_t *strides, const constant int &amp;ndim, const constant int *reduce_shape, const constant size_t *reduce_strides, const constant int &amp;reduce_ndim, const constant size_t &amp;non_col_reductions, uint3 gid, uint3 gsize, uint3 lid, uint3 lsize)</div><div class="ttdef"><b>Definition</b> reduce_col.h:4</div></div>
<div class="ttc" id="areduce__col_8h_html_a9a7be400d810700b47fc1a998032ce29"><div class="ttname"><a href="reduce__col_8h.html#a9a7be400d810700b47fc1a998032ce29">col_reduce_2pass</a></div><div class="ttdeci">void col_reduce_2pass(const device T *in, device U *out, const constant size_t &amp;reduction_size, const constant size_t &amp;reduction_stride, const constant int *shape, const constant size_t *strides, const constant int &amp;ndim, const constant int *reduce_shape, const constant size_t *reduce_strides, const constant int &amp;reduce_ndim, const constant size_t &amp;non_col_reductions, const constant size_t &amp;out_size, uint3 gid, uint3 gsize, uint simd_lane_id, uint simd_group_id)</div><div class="ttdef"><b>Definition</b> reduce_col.h:302</div></div>
<div class="ttc" id="areduce__col_8h_html_aa3287cd98e97123b67b5d3920d984ca2"><div class="ttname"><a href="reduce__col_8h.html#aa3287cd98e97123b67b5d3920d984ca2">col_reduce_longcolumn</a></div><div class="ttdeci">void col_reduce_longcolumn(const device T *in, device U *out, const constant size_t &amp;reduction_size, const constant size_t &amp;reduction_stride, const constant int *shape, const constant size_t *strides, const constant int &amp;ndim, const constant int *reduce_shape, const constant size_t *reduce_strides, const constant int &amp;reduce_ndim, const constant size_t &amp;non_col_reductions, const constant size_t &amp;out_size, uint3 gid, uint3 gsize, uint3 lid, uint3 lsize)</div><div class="ttdef"><b>Definition</b> reduce_col.h:97</div></div>
<div class="ttc" id="areduce__col_8h_html_ae8f9354e1c595142d05b33fe13988f02"><div class="ttname"><a href="reduce__col_8h.html#ae8f9354e1c595142d05b33fe13988f02">col_reduce_looped</a></div><div class="ttdeci">void col_reduce_looped(const device T *in, device U *out, const constant size_t &amp;reduction_size, const constant size_t &amp;reduction_stride, const constant int *shape, const constant size_t *strides, const constant int &amp;ndim, const constant int *reduce_shape, const constant size_t *reduce_strides, const constant int &amp;reduce_ndim, const constant size_t &amp;non_col_reductions, uint3 gid, uint3 gsize, uint simd_lane_id, uint simd_group_id)</div><div class="ttdoc">Our approach is the following simple looped approach:</div><div class="ttdef"><b>Definition</b> reduce_col.h:163</div></div>
<div class="ttc" id="astruct_looped_elem_to_loc_html"><div class="ttname"><a href="struct_looped_elem_to_loc.html">LoopedElemToLoc</a></div><div class="ttdef"><b>Definition</b> utils.h:208</div></div>
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