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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="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment">// Small column reduce kernel</span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span> </div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keyword">typename</span> U, <span class="keyword">typename</span> Op&gt;</div>
<div class="foldopen" id="foldopen00008" data-start="{" data-end="}">
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"><a class="line" href="reduce__col_8h.html#a7da96ffb66e1fda27bad2852c2285b94"> 8</a></span>[[kernel]] <span class="keywordtype">void</span> <a class="code hl_function" href="reduce__col_8h.html#a7da96ffb66e1fda27bad2852c2285b94">col_reduce_small</a>(</div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span> <span class="keyword">const</span> device T* in [[buffer(0)]],</div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span> device U* out [[buffer(1)]],</div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; reduction_size [[buffer(2)]],</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_stride [[buffer(3)]],</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; out_size [[buffer(4)]],</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(5)]],</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(6)]],</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(7)]],</div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; non_col_reductions [[buffer(8)]],</div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>* non_col_shapes [[buffer(9)]],</div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>* non_col_strides [[buffer(10)]],</div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>&amp; non_col_ndim [[buffer(11)]],</div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> uint tid [[thread_position_in_grid]]) {</div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> <span class="comment">// Appease the compiler</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> (void)out_size;</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> Op <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>;</div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> U total_val = Op::init;</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> </div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <span class="keyword">auto</span> out_idx = tid;</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> in += <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a2e49fa7ab8f6348543455c6c45d7e2a9">elem_to_loc</a>(</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> out_idx,</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> shape + non_col_ndim,</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> strides + non_col_ndim,</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> ndim - non_col_ndim);</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> <span class="keywordflow">for</span> (uint i = 0; i &lt; non_col_reductions; i++) {</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="keywordtype">size_t</span> in_idx =</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a2e49fa7ab8f6348543455c6c45d7e2a9">elem_to_loc</a>(i, non_col_shapes, non_col_strides, non_col_ndim);</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> <span class="keywordflow">for</span> (uint j = 0; j &lt; reduction_size; j++, in_idx += reduction_stride) {</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> U val = <span class="keyword">static_cast&lt;</span>U<span class="keyword">&gt;</span>(in[in_idx]);</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> total_val = <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>(total_val, val);</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> }</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> }</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> out[out_idx] = total_val;</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span>}</div>
</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> </div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span><span class="comment">// Column reduce helper</span></div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> </div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span><span class="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> N_READS = REDUCE_N_READS&gt;</div>
<div class="foldopen" id="foldopen00054" data-start="{" data-end="}">
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"><a class="line" href="reduce__col_8h.html#a6d72f6a88a37d8e031d0ac33f26ecbb4"> 54</a></span>METAL_FUNC U <a class="code hl_function" href="reduce__col_8h.html#a6d72f6a88a37d8e031d0ac33f26ecbb4">_contiguous_strided_reduce</a>(</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keyword">const</span> device T* in,</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> threadgroup U* local_data,</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> uint in_idx,</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> uint reduction_size,</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> uint reduction_stride,</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> uint2 tid,</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> uint2 lid,</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> uint2 lsize) {</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> Op <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>;</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> U total_val = Op::init;</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> uint base_offset = (tid.y * lsize.y + lid.y) * N_READS;</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="keywordflow">for</span> (uint r = 0; r &lt; N_READS &amp;&amp; (base_offset + r) &lt; reduction_size; r++) {</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> uint offset = base_offset + r;</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> total_val =</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</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>(total_val), in[in_idx + offset * reduction_stride]);</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> local_data[lsize.y * lid.x + lid.y] = total_val;</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> threadgroup_barrier(mem_flags::mem_threadgroup);</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> </div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> U val = Op::init;</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="keywordflow">if</span> (lid.y == 0) {</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <span class="comment">// Perform reduction across columns in thread group</span></div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keywordflow">for</span> (uint i = 0; i &lt; lsize.y; i++) {</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> val = <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>(val, local_data[lsize.y * lid.x + i]);</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> </div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keywordflow">return</span> val;</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span>}</div>
</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> </div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span><span class="comment">// Column reduce kernel</span></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="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> N_READS = REDUCE_N_READS&gt;</div>
<div class="foldopen" id="foldopen00091" data-start="{" data-end="}">
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"><a class="line" href="reduce__col_8h.html#a3b14333e195c0a07b70069bebf85d5c3"> 91</a></span>[[kernel]] <span class="keywordtype">void</span> <a class="code hl_function" href="reduce__col_8h.html#a3b14333e195c0a07b70069bebf85d5c3">col_reduce_general</a>(</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="keyword">const</span> device T* in [[buffer(0)]],</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> device <a class="code hl_struct" href="structmlx__atomic.html">mlx_atomic&lt;U&gt;</a>* out [[buffer(1)]],</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; reduction_size [[buffer(2)]],</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; reduction_stride [[buffer(3)]],</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; out_size [[buffer(4)]],</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>* shape [[buffer(5)]],</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>* strides [[buffer(6)]],</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>&amp; ndim [[buffer(7)]],</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> threadgroup U* local_data [[threadgroup(0)]],</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> uint3 tid [[threadgroup_position_in_grid]],</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> uint3 lid [[thread_position_in_threadgroup]],</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> uint3 lsize [[threads_per_threadgroup]]) {</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="keyword">auto</span> out_idx = tid.x * lsize.x + lid.x;</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="keyword">auto</span> in_idx = <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a2e49fa7ab8f6348543455c6c45d7e2a9">elem_to_loc</a>(out_idx + tid.z * out_size, shape, strides, ndim);</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> </div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> Op <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>;</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keywordflow">if</span> (out_idx &lt; out_size) {</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> U val = _contiguous_strided_reduce&lt;T, U, Op, N_READS&gt;(</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> in,</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> local_data,</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> in_idx,</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> reduction_size,</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> reduction_stride,</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> tid.xy,</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> lid.xy,</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> lsize.xy);</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> </div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <span class="comment">// Write out reduction results generated by threadgroups working on specific</span></div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="comment">// output element, contiguously.</span></div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keywordflow">if</span> (lid.y == 0) {</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>.atomic_update(out, val, out_idx);</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> }</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> }</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span>}</div>
</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><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> N_READS = REDUCE_N_READS&gt;</div>
<div class="foldopen" id="foldopen00128" data-start="{" data-end="}">
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"><a class="line" href="reduce__col_8h.html#aef03a4131c710ba8f94a666f58719eb7"> 128</a></span>[[kernel]] <span class="keywordtype">void</span> <a class="code hl_function" href="reduce__col_8h.html#aef03a4131c710ba8f94a666f58719eb7">col_reduce_general_no_atomics</a>(</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="keyword">const</span> device T* in [[buffer(0)]],</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> device U* out [[buffer(1)]],</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; reduction_size [[buffer(2)]],</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; reduction_stride [[buffer(3)]],</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>&amp; out_size [[buffer(4)]],</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>* shape [[buffer(5)]],</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>* strides [[buffer(6)]],</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>&amp; ndim [[buffer(7)]],</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> threadgroup U* local_data [[threadgroup(0)]],</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> uint3 tid [[threadgroup_position_in_grid]],</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> uint3 lid [[thread_position_in_threadgroup]],</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> uint3 gid [[thread_position_in_grid]],</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> uint3 lsize [[threads_per_threadgroup]],</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> uint3 gsize [[threads_per_grid]]) {</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="keyword">auto</span> out_idx = tid.x * lsize.x + lid.x;</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <span class="keyword">auto</span> in_idx = <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a2e49fa7ab8f6348543455c6c45d7e2a9">elem_to_loc</a>(out_idx + tid.z * out_size, shape, strides, ndim);</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> </div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <span class="keywordflow">if</span> (out_idx &lt; out_size) {</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> U val = _contiguous_strided_reduce&lt;T, U, Op, N_READS&gt;(</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> in,</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> local_data,</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> in_idx,</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> reduction_size,</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> reduction_stride,</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> tid.xy,</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> lid.xy,</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> lsize.xy);</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> <span class="comment">// Write out reduction results generated by threadgroups working on specific</span></div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> <span class="comment">// output element, contiguously.</span></div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> <span class="keywordflow">if</span> (lid.y == 0) {</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> uint tgsize_y = <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a51c19db777f43943e4b35f25dd88d49d">ceildiv</a>(gsize.y, lsize.y);</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> uint tgsize_z = <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a51c19db777f43943e4b35f25dd88d49d">ceildiv</a>(gsize.z, lsize.z);</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> out[tgsize_y * tgsize_z * gid.x + tgsize_y * tid.z + tid.y] = val;</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> }</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> }</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span>}</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:77</div></div>
<div class="ttc" id="abackend_2metal_2kernels_2utils_8h_html_a51c19db777f43943e4b35f25dd88d49d"><div class="ttname"><a href="backend_2metal_2kernels_2utils_8h.html#a51c19db777f43943e4b35f25dd88d49d">ceildiv</a></div><div class="ttdeci">size_t ceildiv(size_t N, size_t M)</div><div class="ttdoc">Compute ceil((float)N/(float)M)</div><div class="ttdef"><b>Definition</b> utils.h:296</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="areduce__col_8h_html_a3b14333e195c0a07b70069bebf85d5c3"><div class="ttname"><a href="reduce__col_8h.html#a3b14333e195c0a07b70069bebf85d5c3">col_reduce_general</a></div><div class="ttdeci">void col_reduce_general(const device T *in, device mlx_atomic&lt; U &gt; *out, const constant size_t &amp;reduction_size, const constant size_t &amp;reduction_stride, const constant size_t &amp;out_size, const constant int *shape, const constant size_t *strides, const constant int &amp;ndim, threadgroup U *local_data, uint3 tid, uint3 lid, uint3 lsize)</div><div class="ttdef"><b>Definition</b> reduce_col.h:91</div></div>
<div class="ttc" id="areduce__col_8h_html_a6d72f6a88a37d8e031d0ac33f26ecbb4"><div class="ttname"><a href="reduce__col_8h.html#a6d72f6a88a37d8e031d0ac33f26ecbb4">_contiguous_strided_reduce</a></div><div class="ttdeci">METAL_FUNC U _contiguous_strided_reduce(const device T *in, threadgroup U *local_data, uint in_idx, uint reduction_size, uint reduction_stride, uint2 tid, uint2 lid, uint2 lsize)</div><div class="ttdef"><b>Definition</b> reduce_col.h:54</div></div>
<div class="ttc" id="areduce__col_8h_html_a7da96ffb66e1fda27bad2852c2285b94"><div class="ttname"><a href="reduce__col_8h.html#a7da96ffb66e1fda27bad2852c2285b94">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 size_t &amp;out_size, const constant int *shape, const constant size_t *strides, const constant int &amp;ndim, const constant size_t &amp;non_col_reductions, const constant int *non_col_shapes, const constant size_t *non_col_strides, const constant int &amp;non_col_ndim, uint tid)</div><div class="ttdef"><b>Definition</b> reduce_col.h:8</div></div>
<div class="ttc" id="areduce__col_8h_html_aef03a4131c710ba8f94a666f58719eb7"><div class="ttname"><a href="reduce__col_8h.html#aef03a4131c710ba8f94a666f58719eb7">col_reduce_general_no_atomics</a></div><div class="ttdeci">void col_reduce_general_no_atomics(const device T *in, device U *out, const constant size_t &amp;reduction_size, const constant size_t &amp;reduction_stride, const constant size_t &amp;out_size, const constant int *shape, const constant size_t *strides, const constant int &amp;ndim, threadgroup U *local_data, uint3 tid, uint3 lid, uint3 gid, uint3 lsize, uint3 gsize)</div><div class="ttdef"><b>Definition</b> reduce_col.h:128</div></div>
<div class="ttc" id="astructmlx__atomic_html"><div class="ttname"><a href="structmlx__atomic.html">mlx_atomic</a></div><div class="ttdef"><b>Definition</b> atomic.h:25</div></div>
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