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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;</div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span> <span class="keyword">typename</span> T,</div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span> <span class="keyword">typename</span> U,</div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span> <span class="keyword">typename</span> Op,</div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span> <span class="keywordtype">int</span> NDIMS,</div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span> <span class="keywordtype">int</span> N_READS = <a class="code hl_variable" href="defines_8h.html#a2ad505864a2ab786147766900bc18c21">REDUCE_N_READS</a>&gt;</div>
<div class="foldopen" id="foldopen00009" data-start="{" data-end="}">
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"><a class="line" href="reduce__col_8h.html#adf7aeb18cd1d5042cf6d9b46b582d8ce"> 9</a></span>[[kernel]] <span class="keywordtype">void</span> <a class="code hl_function" href="reduce__col_8h.html#adf7aeb18cd1d5042cf6d9b46b582d8ce">col_reduce_small</a>(</div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span> <span class="keyword">const</span> device T* in [[buffer(0)]],</div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span> device U* out [[buffer(1)]],</div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; reduction_size [[buffer(2)]],</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>&amp; reduction_stride [[buffer(3)]],</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>* shape [[buffer(4)]],</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>* strides [[buffer(5)]],</div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>&amp; ndim [[buffer(6)]],</div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>* reduce_shape [[buffer(7)]],</div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>* reduce_strides [[buffer(8)]],</div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>&amp; reduce_ndim [[buffer(9)]],</div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</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="l00021" name="l00021"></a><span class="lineno"> 21</span> uint3 gid [[threadgroup_position_in_grid]],</div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> uint3 gsize [[threadgroups_per_grid]],</div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> uint simd_lane_id [[thread_index_in_simdgroup]],</div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> uint simd_group_id [[simdgroup_index_in_threadgroup]],</div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> uint3 tid [[thread_position_in_grid]],</div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> uint3 tsize [[threads_per_grid]]) {</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> Op <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>;</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <a class="code hl_struct" href="structlooped__elem__to__loc.html">looped_elem_to_loc&lt;NDIMS&gt;</a> loop;</div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> <span class="keyword">const</span> device T* row;</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> </div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <span class="comment">// Case 1: Small row small column</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="keywordflow">if</span> (reduction_size * non_col_reductions &lt; 64 &amp;&amp; reduction_stride &lt; 32) {</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> U totals[31];</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; 31; i++) {</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> totals[i] = Op::init;</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> }</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> </div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <span class="keywordtype">short</span> stride = reduction_stride;</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <span class="keywordtype">short</span> size = reduction_size;</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="keywordtype">short</span> blocks = stride / N_READS;</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keywordtype">short</span> extra = stride - blocks * N_READS;</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> </div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <span class="keywordtype">size_t</span> out_idx = tid.x + tsize.y * size_t(tid.y);</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> in += <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a2e49fa7ab8f6348543455c6c45d7e2a9">elem_to_loc</a>(out_idx, shape, strides, ndim);</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> </div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <span class="keywordflow">for</span> (uint r = 0; r &lt; non_col_reductions; r++) {</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> row = in + loop.<a class="code hl_function" href="structlooped__elem__to__loc.html#accc6d4957a8aeb38f5062754793b74d2">location</a>(r, reduce_shape, reduce_strides, reduce_ndim);</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> </div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> i = 0; i &lt; size; i++) {</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> j = 0; j &lt; blocks; j++) {</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> k = 0; k &lt; N_READS; k++) {</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> totals[j * N_READS + k] =</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>(totals[j * N_READS + k],</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keyword">static_cast&lt;</span>U<span class="keyword">&gt;</span>(row[i * stride + j * N_READS + k]));</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> }</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> }</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> k = 0; k &lt; extra; k++) {</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> totals[blocks * N_READS + k] =</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>(totals[blocks * N_READS + k],</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="keyword">static_cast&lt;</span>U<span class="keyword">&gt;</span>(row[i * stride + blocks * N_READS + k]));</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> }</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> }</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> </div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> loop.<a class="code hl_function" href="structlooped__elem__to__loc.html#a05558dabba889ee0d80ed4b567d901ca">next</a>(reduce_shape, reduce_strides);</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> }</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> out += out_idx * reduction_stride;</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> j = 0; j &lt; stride; j++) {</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> out[j] = totals[j];</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> }</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> }</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="comment">// Case 2: Long row small column</span></div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (reduction_size * non_col_reductions &lt; 32) {</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> U totals[N_READS];</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> totals[i] = Op::init;</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> <span class="keywordtype">short</span> size = reduction_size;</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keywordtype">size_t</span> offset = size_t(tid.x) * N_READS;</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="keywordtype">bool</span> safe = offset + N_READS &lt;= reduction_stride;</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="keywordtype">short</span> extra = reduction_stride - offset;</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> </div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keywordtype">size_t</span> out_idx = tid.y + tsize.z * size_t(tid.z);</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> in += <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a2e49fa7ab8f6348543455c6c45d7e2a9">elem_to_loc</a>(out_idx, shape, strides, ndim) + offset;</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">for</span> (uint r = 0; r &lt; non_col_reductions; r++) {</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> row = in + loop.<a class="code hl_function" href="structlooped__elem__to__loc.html#accc6d4957a8aeb38f5062754793b74d2">location</a>(r, reduce_shape, reduce_strides, reduce_ndim);</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> </div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <span class="keywordflow">if</span> (safe) {</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> i = 0; i &lt; size; i++) {</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> j = 0; j &lt; N_READS; j++) {</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> totals[j] =</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <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 * reduction_stride + j]), totals[j]);</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> }</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> i = 0; i &lt; size; i++) {</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> j = 0; j &lt; extra; j++) {</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> totals[j] =</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <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 * reduction_stride + j]), totals[j]);</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> }</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> }</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> }</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> </div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> loop.<a class="code hl_function" href="structlooped__elem__to__loc.html#a05558dabba889ee0d80ed4b567d901ca">next</a>(reduce_shape, reduce_strides);</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> }</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> out += out_idx * reduction_stride + offset;</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <span class="keywordflow">if</span> (safe) {</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> i = 0; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> out[i] = totals[i];</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> }</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> i = 0; i &lt; extra; i++) {</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> out[i] = totals[i];</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> }</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> }</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> }</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> </div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="comment">// Case 3: Long row medium column</span></div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> threadgroup U shared_vals[1024];</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> U totals[N_READS];</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> totals[i] = Op::init;</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> }</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> </div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <span class="keywordtype">short</span> stride = reduction_stride;</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</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="l00130" name="l00130"></a><span class="lineno"> 130</span> short2 tile((stride + N_READS - 1) / N_READS, 32);</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> short2 offset((lid % tile.x) * N_READS, lid / tile.x);</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> <span class="keywordtype">short</span> sm_stride = tile.x * N_READS;</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <span class="keywordtype">bool</span> safe = offset.x + N_READS &lt;= stride;</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> </div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <span class="keywordtype">size_t</span> out_idx = gid.y + gsize.y * size_t(gid.z);</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> in += <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a2e49fa7ab8f6348543455c6c45d7e2a9">elem_to_loc</a>(out_idx, shape, strides, ndim) + offset.x;</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> </div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <span class="comment">// Read cooperatively and contiguously and aggregate the partial results.</span></div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> <span class="keywordtype">size_t</span> total = non_col_reductions * reduction_size;</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> loop.<a class="code hl_function" href="structlooped__elem__to__loc.html#a05558dabba889ee0d80ed4b567d901ca">next</a>(offset.y, reduce_shape, reduce_strides);</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> r = offset.y; r &lt; total; r += <a class="code hl_variable" href="backend_2metal_2kernels_2reduction_2ops_8h.html#a515b75d563a93d3c09ee677948dc83e3">simd_size</a>) {</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> row = in + loop.<a class="code hl_function" href="structlooped__elem__to__loc.html#accc6d4957a8aeb38f5062754793b74d2">location</a>(r, reduce_shape, reduce_strides, reduce_ndim);</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> </div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <span class="keywordflow">if</span> (safe) {</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 &lt; N_READS; i++) {</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</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="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> U vals[N_READS];</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> vals[i] = (offset.x + i &lt; 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="l00152" name="l00152"></a><span class="lineno"> 152</span> }</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</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="l00155" name="l00155"></a><span class="lineno"> 155</span> }</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> }</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> </div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> loop.<a class="code hl_function" href="structlooped__elem__to__loc.html#a05558dabba889ee0d80ed4b567d901ca">next</a>(<a class="code hl_variable" href="backend_2metal_2kernels_2reduction_2ops_8h.html#a515b75d563a93d3c09ee677948dc83e3">simd_size</a>, reduce_shape, reduce_strides);</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> }</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> </div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> <span class="comment">// Each thread holds N_READS partial results but the simdgroups are not</span></div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> <span class="comment">// aligned to do the reduction across the simdgroup so we write our results</span></div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> <span class="comment">// in the shared memory and read them back according to the simdgroup.</span></div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> shared_vals[offset.y * sm_stride + offset.x + i] = totals[i];</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> threadgroup_barrier(mem_flags::mem_threadgroup);</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 &lt; N_READS; i++) {</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> totals[i] = <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>.simd_reduce(</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> shared_vals[simd_lane_id * sm_stride + simd_group_id * N_READS + i]);</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 class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <span class="comment">// Write the output.</span></div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <span class="keywordflow">if</span> (simd_lane_id == 0) {</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="keywordtype">short</span> column = simd_group_id * N_READS;</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> out += out_idx * reduction_stride + column;</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> <span class="keywordflow">if</span> (column + N_READS &lt;= stride) {</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N_READS; i++) {</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> out[i] = totals[i];</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> }</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; column + i &lt; stride; i++) {</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> out[i] = totals[i];</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> }</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> }</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> }</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span>}</div>
</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> </div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</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="keywordtype">int</span> NDIMS, <span class="keywordtype">int</span> BM, <span class="keywordtype">int</span> BN&gt;</div>
<div class="foldopen" id="foldopen00202" data-start="{" data-end="}">
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"><a class="line" href="reduce__col_8h.html#a11bfc6112ae2386ac03f5ea7b7d93385"> 202</a></span>[[kernel]] <span class="keywordtype">void</span> <a class="code hl_function" href="reduce__col_8h.html#a11bfc6112ae2386ac03f5ea7b7d93385">col_reduce_looped</a>(</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <span class="keyword">const</span> device T* in [[buffer(0)]],</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> device U* out [[buffer(1)]],</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; reduction_size [[buffer(2)]],</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; reduction_stride [[buffer(3)]],</div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>* shape [[buffer(4)]],</div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>* strides [[buffer(5)]],</div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>&amp; ndim [[buffer(6)]],</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>* reduce_shape [[buffer(7)]],</div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>* reduce_strides [[buffer(8)]],</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>&amp; reduce_ndim [[buffer(9)]],</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</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="l00214" name="l00214"></a><span class="lineno"> 214</span> uint3 gid [[threadgroup_position_in_grid]],</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> uint3 gsize [[threadgroups_per_grid]],</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> uint simd_lane_id [[thread_index_in_simdgroup]],</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> uint simd_group_id [[simdgroup_index_in_threadgroup]]) {</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> Op <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>;</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> <span class="keyword">constexpr</span> <span class="keywordtype">int</span> n_simdgroups = 4;</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</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="l00221" name="l00221"></a><span class="lineno"> 221</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> n_reads = (BM * BN) / tgp_size;</div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> n_read_blocks = BN / n_reads;</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> threadgroup U shared_vals[BN * BM];</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> U totals[n_reads];</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> <a class="code hl_struct" href="structlooped__elem__to__loc.html">looped_elem_to_loc&lt;NDIMS&gt;</a> loop;</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> <span class="keyword">const</span> device T* row;</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="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> totals[i] = Op::init;</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> </div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</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="l00234" name="l00234"></a><span class="lineno"> 234</span> short2 offset((lid % n_read_blocks) * n_reads, lid / n_read_blocks);</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> <span class="keywordtype">size_t</span> column = BN * gid.x + offset.x;</div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> <span class="keywordtype">bool</span> safe = column + n_reads &lt;= reduction_stride;</div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> </div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> <span class="keywordtype">size_t</span> out_idx = gid.y + gsize.y * size_t(gid.z);</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> <span class="keywordtype">size_t</span> in_idx = <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a2e49fa7ab8f6348543455c6c45d7e2a9">elem_to_loc</a>(out_idx, shape, strides, ndim);</div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> in += in_idx + column;</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> </div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> <span class="keywordtype">size_t</span> total = non_col_reductions * reduction_size;</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> loop.<a class="code hl_function" href="structlooped__elem__to__loc.html#a05558dabba889ee0d80ed4b567d901ca">next</a>(offset.y, reduce_shape, reduce_strides);</div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> r = offset.y; r &lt; total; r += BM) {</div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> row = in + loop.<a class="code hl_function" href="structlooped__elem__to__loc.html#accc6d4957a8aeb38f5062754793b74d2">location</a>(r, reduce_shape, reduce_strides, reduce_ndim);</div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> </div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> <span class="keywordflow">if</span> (safe) {</div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</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="l00250" name="l00250"></a><span class="lineno"> 250</span> }</div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> U vals[n_reads];</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; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> vals[i] =</div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</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="l00256" name="l00256"></a><span class="lineno"> 256</span> }</div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</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="l00259" name="l00259"></a><span class="lineno"> 259</span> }</div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> }</div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> </div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> loop.<a class="code hl_function" href="structlooped__elem__to__loc.html#a05558dabba889ee0d80ed4b567d901ca">next</a>(BM, reduce_shape, reduce_strides);</div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> }</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> </div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</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="l00266" name="l00266"></a><span class="lineno"> 266</span> <span class="comment">// the partial output to SM and then each simdgroup does BN / n_simdgroups</span></div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> <span class="comment">// accumulations.</span></div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> <span class="keywordflow">if</span> (BM == 32) {</div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> <span class="keyword">constexpr</span> <span class="keywordtype">int</span> n_outputs = BN / n_simdgroups;</div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> <span class="keyword">static_assert</span>(</div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> BM != 32 || n_outputs == n_reads,</div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> <span class="stringliteral">&quot;The tile should be selected such that n_outputs == n_reads&quot;</span>);</div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> shared_vals[offset.y * BN + offset.x + i] = totals[i];</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> threadgroup_barrier(mem_flags::mem_threadgroup);</div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> short2 out_offset(simd_group_id * n_outputs, simd_lane_id);</div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_outputs; i++) {</div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> totals[i] =</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</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="l00281" name="l00281"></a><span class="lineno"> 281</span> }</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 the output.</span></div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> <span class="keywordflow">if</span> (simd_lane_id == 0) {</div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> <span class="keywordtype">size_t</span> out_column = BN * gid.x + out_offset.x;</div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> out += out_idx * reduction_stride + out_column;</div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> <span class="keywordflow">if</span> (out_column + n_outputs &lt;= reduction_stride) {</div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_outputs; i++) {</div>
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> out[i] = totals[i];</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> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</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="l00293" name="l00293"></a><span class="lineno"> 293</span> out[i] = totals[i];</div>
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> }</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> }</div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> }</div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> </div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</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="l00300" name="l00300"></a><span class="lineno"> 300</span> <span class="comment">// memory and threads with offset.y == 0 aggregate the columns and write the</span></div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> <span class="comment">// outputs.</span></div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> <span class="keywordtype">short</span> x_block = offset.x / n_reads;</div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> shared_vals[x_block * BM * n_reads + i * BM + offset.y] = totals[i];</div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> }</div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> threadgroup_barrier(mem_flags::mem_threadgroup);</div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> <span class="keywordflow">if</span> (offset.y == 0) {</div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 1; j &lt; BM; j++) {</div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> totals[i] =</div>
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</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="l00313" name="l00313"></a><span class="lineno"> 313</span> }</div>
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> }</div>
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> }</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="comment">// Write the output.</span></div>
<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> <span class="keywordflow">if</span> (offset.y == 0) {</div>
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> out += out_idx * reduction_stride + column;</div>
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> <span class="keywordflow">if</span> (safe) {</div>
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n_reads; i++) {</div>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> out[i] = totals[i];</div>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> }</div>
<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</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="l00326" name="l00326"></a><span class="lineno"> 326</span> out[i] = totals[i];</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> }</div>
<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> }</div>
<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span> }</div>
<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</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_a2e49fa7ab8f6348543455c6c45d7e2a9"><div class="ttname"><a href="backend_2metal_2kernels_2utils_8h.html#a2e49fa7ab8f6348543455c6c45d7e2a9">elem_to_loc</a></div><div class="ttdeci">METAL_FUNC stride_t elem_to_loc(uint elem, device const int *shape, device const stride_t *strides, int ndim)</div><div class="ttdef"><b>Definition</b> utils.h:87</div></div>
<div class="ttc" id="acommon_2binary_8h_html_a70228731d29946574b238d21fb4b360c"><div class="ttname"><a href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a></div><div class="ttdeci">Op op</div><div class="ttdef"><b>Definition</b> binary.h:141</div></div>
<div class="ttc" id="adefines_8h_html_a2ad505864a2ab786147766900bc18c21"><div class="ttname"><a href="defines_8h.html#a2ad505864a2ab786147766900bc18c21">REDUCE_N_READS</a></div><div class="ttdeci">static constexpr int REDUCE_N_READS</div><div class="ttdef"><b>Definition</b> defines.h:12</div></div>
<div class="ttc" id="areduce__col_8h_html_a11bfc6112ae2386ac03f5ea7b7d93385"><div class="ttname"><a href="reduce__col_8h.html#a11bfc6112ae2386ac03f5ea7b7d93385">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:202</div></div>
<div class="ttc" id="areduce__col_8h_html_adf7aeb18cd1d5042cf6d9b46b582d8ce"><div class="ttname"><a href="reduce__col_8h.html#adf7aeb18cd1d5042cf6d9b46b582d8ce">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, uint simd_lane_id, uint simd_group_id, uint3 tid, uint3 tsize)</div><div class="ttdef"><b>Definition</b> reduce_col.h:9</div></div>
<div class="ttc" id="astructlooped__elem__to__loc_html"><div class="ttname"><a href="structlooped__elem__to__loc.html">looped_elem_to_loc</a></div><div class="ttdef"><b>Definition</b> utils.h:334</div></div>
<div class="ttc" id="astructlooped__elem__to__loc_html_a05558dabba889ee0d80ed4b567d901ca"><div class="ttname"><a href="structlooped__elem__to__loc.html#a05558dabba889ee0d80ed4b567d901ca">looped_elem_to_loc::next</a></div><div class="ttdeci">void next(const constant int *shape, const constant size_t *strides)</div><div class="ttdef"><b>Definition</b> utils.h:339</div></div>
<div class="ttc" id="astructlooped__elem__to__loc_html_accc6d4957a8aeb38f5062754793b74d2"><div class="ttname"><a href="structlooped__elem__to__loc.html#accc6d4957a8aeb38f5062754793b74d2">looped_elem_to_loc::location</a></div><div class="ttdeci">offset_t location(offset_t, const constant int *, const constant size_t *, int)</div><div class="ttdef"><b>Definition</b> utils.h:366</div></div>
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