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<a href="steel__gemm__splitk_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 © 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">using namespace </span><a class="code hl_namespace" href="namespacemlx_1_1steel.html">mlx::steel</a>;</div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span> </div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment">// GEMM kernels</span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span> </div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="keyword">template</span> &lt;</div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span> <span class="keyword">typename</span> T,</div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span> <span class="keyword">typename</span> U,</div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span> <span class="keywordtype">int</span> BM,</div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> <span class="keywordtype">int</span> BN,</div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span> <span class="keywordtype">int</span> BK,</div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> <span class="keywordtype">int</span> WM,</div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> <span class="keywordtype">int</span> WN,</div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> <span class="keywordtype">bool</span> transpose_a,</div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> <span class="keywordtype">bool</span> transpose_b,</div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> <span class="keywordtype">bool</span> MN_aligned,</div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> <span class="keywordtype">bool</span> K_aligned&gt;</div>
<div class="foldopen" id="foldopen00021" data-start="{" data-end="}">
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"><a class="line" href="steel__gemm__splitk_8h.html#a3be6e095a0a026d3ecf57a3e67f76188"> 21</a></span>[[kernel, max_total_threads_per_threadgroup(WM* WN * 32)]] <span class="keywordtype">void</span> <a class="code hl_function" href="steel__gemm__splitk_8h.html#a3be6e095a0a026d3ecf57a3e67f76188">gemm_splitk</a>(</div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> <span class="keyword">const</span> device T* A [[buffer(0)]],</div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> <span class="keyword">const</span> device T* B [[buffer(1)]],</div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> device U* C [[buffer(2)]],</div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> <span class="keyword">const</span> constant <a class="code hl_struct" href="structmlx_1_1steel_1_1_g_e_m_m_spilt_k_params.html">GEMMSpiltKParams</a>* params [[buffer(3)]],</div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> uint simd_lane_id [[thread_index_in_simdgroup]],</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> uint simd_group_id [[simdgroup_index_in_threadgroup]],</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> uint3 tid [[threadgroup_position_in_grid]],</div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> uint3 lid [[thread_position_in_threadgroup]]) {</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> (void)lid;</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> </div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="keyword">using </span>gemm_kernel = <a class="code hl_struct" href="structmlx_1_1steel_1_1_g_e_m_m_kernel.html">GEMMKernel</a>&lt;</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> T,</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> U,</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> BM,</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> BN,</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> BK,</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> WM,</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> WN,</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> transpose_a,</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> transpose_b,</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> MN_aligned,</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> K_aligned&gt;;</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keyword">using </span>loader_a_t = <span class="keyword">typename</span> gemm_kernel::loader_a_t;</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keyword">using </span>loader_b_t = <span class="keyword">typename</span> gemm_kernel::loader_b_t;</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <span class="keyword">using </span>mma_t = <span class="keyword">typename</span> gemm_kernel::mma_t;</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> threadgroup T As[gemm_kernel::tgp_mem_size_a];</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> threadgroup T Bs[gemm_kernel::tgp_mem_size_b];</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> </div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <span class="keyword">const</span> <span class="keywordtype">int</span> tid_x = tid.x;</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <span class="keyword">const</span> <span class="keywordtype">int</span> tid_y = tid.y;</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="keyword">const</span> <span class="keywordtype">int</span> tid_z = tid.z;</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> </div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keywordflow">if</span> (params-&gt;tiles_n &lt;= tid_x || params-&gt;tiles_m &lt;= tid_y) {</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keywordflow">return</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> </div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="comment">// Find block in A, B, C</span></div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="keyword">const</span> <span class="keywordtype">int</span> c_row = tid_y * BM;</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="keyword">const</span> <span class="keywordtype">int</span> c_col = tid_x * BN;</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="keyword">const</span> <span class="keywordtype">int</span> k_start = params-&gt;split_k_partition_size * tid_z;</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> <span class="keyword">const</span> <span class="keywordtype">size_t</span> c_row_long = size_t(c_row);</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> c_col_long = size_t(c_col);</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> k_start_long = size_t(k_start);</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> </div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> A += transpose_a ? (c_row_long + k_start_long * params-&gt;lda)</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> : (k_start_long + c_row_long * params-&gt;lda);</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> B += transpose_b ? (k_start_long + c_col_long * params-&gt;ldb)</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> : (c_col_long + k_start_long * params-&gt;ldb);</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> C += (size_t(params-&gt;split_k_partition_stride) * tid_z) +</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> (c_row_long * params-&gt;ldc + c_col_long);</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> <span class="comment">// Prepare threadgroup loading operations</span></div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> thread loader_a_t loader_a(A, params-&gt;lda, As, simd_group_id, simd_lane_id);</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> thread loader_b_t loader_b(B, params-&gt;ldb, Bs, simd_group_id, simd_lane_id);</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="comment">// Prepare threadgroup mma operation</span></div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> thread mma_t mma_op(simd_group_id, simd_lane_id);</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="keywordtype">int</span> gemm_k_iterations = params-&gt;gemm_k_iterations_aligned;</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">short</span> tgp_bm = min(BM, params-&gt;M - c_row);</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="keywordtype">short</span> tgp_bn = min(BN, params-&gt;N - c_col);</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="keywordtype">short</span> leftover_bk = params-&gt;K % BK;</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">if</span> (MN_aligned || (tgp_bm == BM &amp;&amp; tgp_bn == BN)) {</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> gemm_kernel::gemm_loop(</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> As,</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> Bs,</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> gemm_k_iterations,</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> loader_a,</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> loader_b,</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> mma_op,</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> tgp_bm,</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> tgp_bn,</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> leftover_bk,</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <a class="code hl_struct" href="structmlx_1_1steel_1_1_loop_alignment.html">LoopAlignment&lt;true, true, true&gt;</a>{});</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (tgp_bn == BN) {</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> gemm_kernel::gemm_loop(</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> As,</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> Bs,</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> gemm_k_iterations,</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> loader_a,</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> loader_b,</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> mma_op,</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> tgp_bm,</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> tgp_bn,</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> leftover_bk,</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <a class="code hl_struct" href="structmlx_1_1steel_1_1_loop_alignment.html">LoopAlignment&lt;false, true, true&gt;</a>{});</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (tgp_bm == BM) {</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> gemm_kernel::gemm_loop(</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> As,</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> Bs,</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> gemm_k_iterations,</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> loader_a,</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> loader_b,</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> mma_op,</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> tgp_bm,</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> tgp_bn,</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> leftover_bk,</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <a class="code hl_struct" href="structmlx_1_1steel_1_1_loop_alignment.html">LoopAlignment&lt;true, false, true&gt;</a>{});</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> gemm_kernel::gemm_loop(</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> As,</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> Bs,</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> gemm_k_iterations,</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> loader_a,</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> loader_b,</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> mma_op,</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> tgp_bm,</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> tgp_bn,</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> leftover_bk,</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <a class="code hl_struct" href="structmlx_1_1steel_1_1_loop_alignment.html">LoopAlignment&lt;false, false, true&gt;</a>{});</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> }</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> </div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> threadgroup_barrier(mem_flags::mem_threadgroup);</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> </div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="keywordflow">if</span> ((tid_z + 1) == (params-&gt;split_k_partitions)) {</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <span class="keywordtype">int</span> gemm_k_iter_remaining =</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> (params-&gt;K - (k_start + params-&gt;split_k_partition_size)) / BK;</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="keywordflow">if</span> (!K_aligned || gemm_k_iter_remaining &gt; 0)</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> gemm_kernel::gemm_loop(</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> As,</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> Bs,</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> gemm_k_iter_remaining,</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> loader_a,</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> loader_b,</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> mma_op,</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> tgp_bm,</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> tgp_bn,</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> leftover_bk,</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> <a class="code hl_struct" href="structmlx_1_1steel_1_1_loop_alignment.html">LoopAlignment&lt;false, false, K_aligned&gt;</a>{});</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> <span class="keywordflow">if</span> (MN_aligned || (tgp_bm == BM &amp;&amp; tgp_bn == BN)) {</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> mma_op.store_result(C, params-&gt;ldc);</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> mma_op.store_result_safe(C, params-&gt;ldc, short2(tgp_bn, tgp_bm));</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> }</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span>}</div>
</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> </div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span><span class="comment">// Split k accumulation kernel</span></div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> </div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span><span class="keyword">template</span> &lt;</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> <span class="keyword">typename</span> AccT,</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> <span class="keyword">typename</span> OutT,</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> <span class="keyword">typename</span> Epilogue = <a class="code hl_struct" href="structmlx_1_1steel_1_1_transform_none.html">TransformNone&lt;OutT, AccT&gt;</a>&gt;</div>
<div class="foldopen" id="foldopen00172" data-start="{" data-end="}">
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"><a class="line" href="steel__gemm__splitk_8h.html#abeb921bf1dc7941125188ddd390b0907"> 172</a></span>[[kernel]] <span class="keywordtype">void</span> <a class="code hl_function" href="steel__gemm__splitk_8h.html#abeb921bf1dc7941125188ddd390b0907">gemm_splitk_accum</a>(</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <span class="keyword">const</span> device AccT* C_split [[buffer(0)]],</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> device OutT* D [[buffer(1)]],</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>&amp; k_partitions [[buffer(2)]],</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>&amp; partition_stride [[buffer(3)]],</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>&amp; ldd [[buffer(4)]],</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> uint2 gid [[thread_position_in_grid]]) {</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> <span class="comment">// Ajust D and C</span></div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> D += gid.x + gid.y * size_t(ldd);</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> C_split += gid.x + gid.y * size_t(ldd);</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> </div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> <span class="keywordtype">size_t</span> offset = 0;</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> AccT out = 0;</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> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; k_partitions; i++) {</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> out += C_split[offset];</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> offset += partition_stride;</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> </div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> <span class="comment">// Write output</span></div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> D[0] = Epilogue::apply(out);</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span>}</div>
</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> </div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span><span class="keyword">template</span> &lt;</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> <span class="keyword">typename</span> AccT,</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> <span class="keyword">typename</span> OutT,</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> <span class="keyword">typename</span> Epilogue = <a class="code hl_struct" href="structmlx_1_1steel_1_1_transform_axpby.html">TransformAxpby&lt;OutT, AccT&gt;</a>&gt;</div>
<div class="foldopen" id="foldopen00199" data-start="{" data-end="}">
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"><a class="line" href="steel__gemm__splitk_8h.html#acc33fdfaaf3eb3a0629b3d52c7043dc1"> 199</a></span>[[kernel]] <span class="keywordtype">void</span> <a class="code hl_function" href="steel__gemm__splitk_8h.html#acc33fdfaaf3eb3a0629b3d52c7043dc1">gemm_splitk_accum_axpby</a>(</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <span class="keyword">const</span> device AccT* C_split [[buffer(0)]],</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> device OutT* D [[buffer(1)]],</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>&amp; k_partitions [[buffer(2)]],</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>&amp; partition_stride [[buffer(3)]],</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>&amp; ldd [[buffer(4)]],</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="keyword">const</span> device OutT* C [[buffer(5)]],</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>&amp; ldc [[buffer(6)]],</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>&amp; fdc [[buffer(7)]],</div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> <span class="keyword">const</span> constant <span class="keywordtype">float</span>&amp; alpha [[buffer(8)]],</div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> <span class="keyword">const</span> constant <span class="keywordtype">float</span>&amp; beta [[buffer(9)]],</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> uint2 gid [[thread_position_in_grid]]) {</div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <span class="comment">// Ajust D and C</span></div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> C += gid.x * size_t(fdc) + gid.y * size_t(ldc);</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> D += gid.x + gid.y * size_t(ldd);</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> C_split += gid.x + gid.y * size_t(ldd);</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> </div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> <span class="keywordtype">size_t</span> offset = 0;</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> AccT out = 0;</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> </div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; k_partitions; i++) {</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> out += C_split[offset];</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> offset += partition_stride;</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> </div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> <span class="comment">// Write output</span></div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> Epilogue <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>(alpha, beta);</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> D[0] = <a class="code hl_variable" href="common_2binary_8h.html#a70228731d29946574b238d21fb4b360c">op</a>.apply(out, *C);</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span>}</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="anamespacemlx_1_1steel_html"><div class="ttname"><a href="namespacemlx_1_1steel.html">mlx::steel</a></div><div class="ttdef"><b>Definition</b> loader_channel_l.h:14</div></div>
<div class="ttc" id="asteel__gemm__splitk_8h_html_a3be6e095a0a026d3ecf57a3e67f76188"><div class="ttname"><a href="steel__gemm__splitk_8h.html#a3be6e095a0a026d3ecf57a3e67f76188">gemm_splitk</a></div><div class="ttdeci">void gemm_splitk(const device T *A, const device T *B, device U *C, const constant GEMMSpiltKParams *params, uint simd_lane_id, uint simd_group_id, uint3 tid, uint3 lid)</div><div class="ttdef"><b>Definition</b> steel_gemm_splitk.h:21</div></div>
<div class="ttc" id="asteel__gemm__splitk_8h_html_abeb921bf1dc7941125188ddd390b0907"><div class="ttname"><a href="steel__gemm__splitk_8h.html#abeb921bf1dc7941125188ddd390b0907">gemm_splitk_accum</a></div><div class="ttdeci">void gemm_splitk_accum(const device AccT *C_split, device OutT *D, const constant int &amp;k_partitions, const constant int &amp;partition_stride, const constant int &amp;ldd, uint2 gid)</div><div class="ttdef"><b>Definition</b> steel_gemm_splitk.h:172</div></div>
<div class="ttc" id="asteel__gemm__splitk_8h_html_acc33fdfaaf3eb3a0629b3d52c7043dc1"><div class="ttname"><a href="steel__gemm__splitk_8h.html#acc33fdfaaf3eb3a0629b3d52c7043dc1">gemm_splitk_accum_axpby</a></div><div class="ttdeci">void gemm_splitk_accum_axpby(const device AccT *C_split, device OutT *D, const constant int &amp;k_partitions, const constant int &amp;partition_stride, const constant int &amp;ldd, const device OutT *C, const constant int &amp;ldc, const constant int &amp;fdc, const constant float &amp;alpha, const constant float &amp;beta, uint2 gid)</div><div class="ttdef"><b>Definition</b> steel_gemm_splitk.h:199</div></div>
<div class="ttc" id="astructmlx_1_1steel_1_1_g_e_m_m_kernel_html"><div class="ttname"><a href="structmlx_1_1steel_1_1_g_e_m_m_kernel.html">mlx::steel::GEMMKernel</a></div><div class="ttdef"><b>Definition</b> gemm.h:37</div></div>
<div class="ttc" id="astructmlx_1_1steel_1_1_g_e_m_m_spilt_k_params_html"><div class="ttname"><a href="structmlx_1_1steel_1_1_g_e_m_m_spilt_k_params.html">mlx::steel::GEMMSpiltKParams</a></div><div class="ttdef"><b>Definition</b> params.h:34</div></div>
<div class="ttc" id="astructmlx_1_1steel_1_1_loop_alignment_html"><div class="ttname"><a href="structmlx_1_1steel_1_1_loop_alignment.html">mlx::steel::LoopAlignment</a></div><div class="ttdef"><b>Definition</b> gemm.h:21</div></div>
<div class="ttc" id="astructmlx_1_1steel_1_1_transform_axpby_html"><div class="ttname"><a href="structmlx_1_1steel_1_1_transform_axpby.html">mlx::steel::TransformAxpby</a></div><div class="ttdef"><b>Definition</b> transforms.h:39</div></div>
<div class="ttc" id="astructmlx_1_1steel_1_1_transform_none_html"><div class="ttname"><a href="structmlx_1_1steel_1_1_transform_none.html">mlx::steel::TransformNone</a></div><div class="ttdef"><b>Definition</b> transforms.h:15</div></div>
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