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<a href="steel__gemm__fused_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"><a class="line" href="steel__gemm__fused_8h.html#adffcdc900c19ff97f1523e43f1a5a6cc"> 9</a></span>constant <span class="keywordtype">bool</span> <a class="code hl_variable" href="steel__gemm__fused_8h.html#adffcdc900c19ff97f1523e43f1a5a6cc">has_batch</a> [[function_constant(10)]];</div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span> </div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"><a class="line" href="steel__gemm__fused_8h.html#a3fe4e4382bda8a419557a5e6f77bc084"> 11</a></span>constant <span class="keywordtype">bool</span> <a class="code hl_variable" href="steel__gemm__fused_8h.html#a3fe4e4382bda8a419557a5e6f77bc084">use_out_source</a> [[function_constant(100)]];</div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"><a class="line" href="steel__gemm__fused_8h.html#a703f06c849c89c37af7b1d27b0804a29"> 12</a></span>constant <span class="keywordtype">bool</span> <a class="code hl_variable" href="steel__gemm__fused_8h.html#a703f06c849c89c37af7b1d27b0804a29">do_axpby</a> [[function_constant(110)]];</div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"><a class="line" href="steel__gemm__fused_8h.html#a55af226dc74b0026b7d4b865142a6d21"> 14</a></span>constant <span class="keywordtype">bool</span> <a class="code hl_variable" href="steel__gemm__fused_8h.html#a55af226dc74b0026b7d4b865142a6d21">align_M</a> [[function_constant(200)]];</div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"><a class="line" href="steel__gemm__fused_8h.html#aa3b267252df2dcbfdde8c5f174d27036"> 15</a></span>constant <span class="keywordtype">bool</span> <a class="code hl_variable" href="steel__gemm__fused_8h.html#aa3b267252df2dcbfdde8c5f174d27036">align_N</a> [[function_constant(201)]];</div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"><a class="line" href="steel__gemm__fused_8h.html#a8bdd2cecf97aa5b033152b1d0f0d2416"> 16</a></span>constant <span class="keywordtype">bool</span> <a class="code hl_variable" href="steel__gemm__fused_8h.html#a8bdd2cecf97aa5b033152b1d0f0d2416">align_K</a> [[function_constant(202)]];</div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> </div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"><a class="line" href="steel__gemm__fused_8h.html#a60efac3ac3b7cd64d096bbae38a3ac69"> 18</a></span>constant <span class="keywordtype">bool</span> <a class="code hl_variable" href="steel__gemm__fused_8h.html#a60efac3ac3b7cd64d096bbae38a3ac69">do_gather</a> [[function_constant(300)]];</div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> </div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"><a class="line" href="steel__gemm__fused_8h.html#aaaf17233201156be684f858bfd0f1b67"> 20</a></span>constant <span class="keywordtype">bool</span> <a class="code hl_variable" href="steel__gemm__fused_8h.html#aaaf17233201156be684f858bfd0f1b67">gather_bias</a> = <a class="code hl_variable" href="steel__gemm__fused_8h.html#a60efac3ac3b7cd64d096bbae38a3ac69">do_gather</a> &amp;&amp; <a class="code hl_variable" href="steel__gemm__fused_8h.html#a3fe4e4382bda8a419557a5e6f77bc084">use_out_source</a>;</div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> </div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="comment">// clang-format off</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="keyword">template</span> &lt;</div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> <span class="keyword">typename</span> T,</div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> <span class="keywordtype">int</span> BM,</div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> <span class="keywordtype">int</span> BN,</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> <span class="keywordtype">int</span> BK,</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <span class="keywordtype">int</span> WM,</div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> <span class="keywordtype">int</span> WN,</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> <span class="keywordtype">bool</span> transpose_a,</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <span class="keywordtype">bool</span> transpose_b,</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="keyword">typename</span> AccumType = <span class="keywordtype">float</span>&gt;</div>
<div class="foldopen" id="foldopen00033" data-start="{" data-end="}">
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"><a class="line" href="steel__gemm__fused_8h.html#aa40dd40b9a0bbf20c8911032ed0c3e6d"> 33</a></span>[[kernel, max_total_threads_per_threadgroup(WM* WN * 32)]] <span class="keywordtype">void</span> <a class="code hl_function" href="steel__gemm__fused_8h.html#aa40dd40b9a0bbf20c8911032ed0c3e6d">gemm</a>(</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="keyword">const</span> device T* A [[buffer(0)]],</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <span class="keyword">const</span> device T* B [[buffer(1)]],</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="keyword">const</span> device T* C [[buffer(2), function_constant(<a class="code hl_variable" href="steel__gemm__fused_8h.html#a3fe4e4382bda8a419557a5e6f77bc084">use_out_source</a>)]],</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> device T* D [[buffer(3)]],</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <span class="keyword">const</span> constant <a class="code hl_struct" href="structmlx_1_1steel_1_1_g_e_m_m_params.html">GEMMParams</a>* params [[buffer(4)]],</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <span class="keyword">const</span> constant <a class="code hl_struct" href="structmlx_1_1steel_1_1_g_e_m_m_add_m_m_params.html">GEMMAddMMParams</a>* addmm_params [[buffer(5), function_constant(<a class="code hl_variable" href="steel__gemm__fused_8h.html#a3fe4e4382bda8a419557a5e6f77bc084">use_out_source</a>)]],</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>* batch_shape [[buffer(6)]],</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>* batch_strides [[buffer(7)]],</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="keyword">const</span> constant uint32_t* lhs_indices [[buffer(10), function_constant(<a class="code hl_variable" href="steel__gemm__fused_8h.html#a60efac3ac3b7cd64d096bbae38a3ac69">do_gather</a>)]],</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <span class="keyword">const</span> constant uint32_t* rhs_indices [[buffer(11), function_constant(<a class="code hl_variable" href="steel__gemm__fused_8h.html#a60efac3ac3b7cd64d096bbae38a3ac69">do_gather</a>)]],</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keyword">const</span> constant uint32_t* C_indices [[buffer(12), function_constant(<a class="code hl_variable" href="steel__gemm__fused_8h.html#aaaf17233201156be684f858bfd0f1b67">gather_bias</a>)]],</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>* operand_shape [[buffer(13), function_constant(<a class="code hl_variable" href="steel__gemm__fused_8h.html#a60efac3ac3b7cd64d096bbae38a3ac69">do_gather</a>)]],</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>* operand_strides [[buffer(14), function_constant(<a class="code hl_variable" href="steel__gemm__fused_8h.html#a60efac3ac3b7cd64d096bbae38a3ac69">do_gather</a>)]],</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keyword">const</span> constant packed_int3&amp; operand_batch_ndim [[buffer(15), function_constant(<a class="code hl_variable" href="steel__gemm__fused_8h.html#a60efac3ac3b7cd64d096bbae38a3ac69">do_gather</a>)]],</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> uint simd_lane_id [[thread_index_in_simdgroup]],</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> uint simd_group_id [[simdgroup_index_in_threadgroup]],</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> uint3 tid [[threadgroup_position_in_grid]],</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> uint3 lid [[thread_position_in_threadgroup]]) { <span class="comment">// clang-format on</span></div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <span class="comment">// Pacifying compiler</span></div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> (void)lid;</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="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="l00056" name="l00056"></a><span class="lineno"> 56</span> T,</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> T,</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> BM,</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> BN,</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> BK,</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> WM,</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> WN,</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> transpose_a,</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> transpose_b,</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="keyword">true</span>,</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keyword">true</span>,</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> AccumType&gt;;</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> </div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</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="l00070" name="l00070"></a><span class="lineno"> 70</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="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="keyword">using </span>mma_t = <span class="keyword">typename</span> gemm_kernel::mma_t;</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> </div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="comment">// Find block</span></div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="keyword">const</span> <span class="keywordtype">int</span> tid_y = ((tid.y) &lt;&lt; params-&gt;swizzle_log) +</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> ((tid.x) &amp; ((1 &lt;&lt; params-&gt;swizzle_log) - 1));</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="keyword">const</span> <span class="keywordtype">int</span> tid_x = (tid.x) &gt;&gt; params-&gt;swizzle_log;</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> <span class="comment">// Exit early if out of bounds</span></div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</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="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keywordflow">return</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="comment">// Adjust for batch</span></div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> </div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="comment">// Handle gather</span></div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="steel__gemm__fused_8h.html#a60efac3ac3b7cd64d096bbae38a3ac69">do_gather</a>) {</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="comment">// Read indices</span></div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> uint32_t indx_A, indx_B, indx_C;</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> (<a class="code hl_variable" href="steel__gemm__fused_8h.html#adffcdc900c19ff97f1523e43f1a5a6cc">has_batch</a>) {</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>* indx_A_bstrides = batch_strides;</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>* indx_B_bstrides =</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> batch_strides + params-&gt;batch_ndim;</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> </div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> ulong2 indx_offsets = <a class="code hl_function" href="backend_2metal_2kernels_2steel_2utils_8h.html#aaf4974425147d6f26d031691e321637f">elem_to_loc_broadcast</a>(</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> tid.z,</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> batch_shape,</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> indx_A_bstrides,</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> indx_B_bstrides,</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> params-&gt;batch_ndim);</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> indx_A = lhs_indices[indx_offsets.x];</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> indx_B = rhs_indices[indx_offsets.y];</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> <span class="keywordflow">if</span> (<a class="code hl_variable" href="steel__gemm__fused_8h.html#a3fe4e4382bda8a419557a5e6f77bc084">use_out_source</a>) {</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>* indx_C_bstrides =</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> indx_B_bstrides + params-&gt;batch_ndim;</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="keyword">auto</span> indx_offset_C = <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a2e49fa7ab8f6348543455c6c45d7e2a9">elem_to_loc</a>(</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> tid.z, batch_shape, indx_C_bstrides, params-&gt;batch_ndim);</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> indx_C = C_indices[indx_offset_C];</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> }</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> indx_A = lhs_indices[params-&gt;batch_stride_a * tid.z];</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> indx_B = rhs_indices[params-&gt;batch_stride_b * tid.z];</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> </div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="steel__gemm__fused_8h.html#a3fe4e4382bda8a419557a5e6f77bc084">use_out_source</a>) {</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> indx_C = C_indices[addmm_params-&gt;batch_stride_c * tid.z];</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">// Translate indices to offsets</span></div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keywordtype">int</span> batch_ndim_A = operand_batch_ndim.x;</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>* batch_shape_A = operand_shape;</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>* batch_strides_A = operand_strides;</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> A += <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a2e49fa7ab8f6348543455c6c45d7e2a9">elem_to_loc</a>(indx_A, batch_shape_A, batch_strides_A, batch_ndim_A);</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> </div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="keywordtype">int</span> batch_ndim_B = operand_batch_ndim.y;</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>* batch_shape_B = batch_shape_A + batch_ndim_A;</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>* batch_strides_B = batch_strides_A + batch_ndim_A;</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> B += <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a2e49fa7ab8f6348543455c6c45d7e2a9">elem_to_loc</a>(indx_B, batch_shape_B, batch_strides_B, batch_ndim_B);</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> </div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="steel__gemm__fused_8h.html#a3fe4e4382bda8a419557a5e6f77bc084">use_out_source</a>) {</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> <span class="keywordtype">int</span> batch_ndim_C = operand_batch_ndim.z;</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <span class="keyword">const</span> constant <span class="keywordtype">int</span>* batch_shape_C = batch_shape_B + batch_ndim_B;</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>* batch_strides_C = batch_strides_B + batch_ndim_B;</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> C += <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a2e49fa7ab8f6348543455c6c45d7e2a9">elem_to_loc</a>(indx_C, batch_shape_C, batch_strides_C, batch_ndim_C);</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> }</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="comment">// Handle regular batch</span></div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="steel__gemm__fused_8h.html#adffcdc900c19ff97f1523e43f1a5a6cc">has_batch</a>) {</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>* A_bstrides = batch_strides;</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>* B_bstrides = batch_strides + params-&gt;batch_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> ulong2 batch_offsets = <a class="code hl_function" href="backend_2metal_2kernels_2steel_2utils_8h.html#aaf4974425147d6f26d031691e321637f">elem_to_loc_broadcast</a>(</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> tid.z, batch_shape, A_bstrides, B_bstrides, params-&gt;batch_ndim);</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> </div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> A += batch_offsets.x;</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> B += batch_offsets.y;</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> </div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="steel__gemm__fused_8h.html#a3fe4e4382bda8a419557a5e6f77bc084">use_out_source</a>) {</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> <span class="keyword">const</span> constant <span class="keywordtype">size_t</span>* C_bstrides = B_bstrides + params-&gt;batch_ndim;</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> C += <a class="code hl_function" href="backend_2metal_2kernels_2utils_8h.html#a2e49fa7ab8f6348543455c6c45d7e2a9">elem_to_loc</a>(tid.z, batch_shape, C_bstrides, params-&gt;batch_ndim);</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> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> A += params-&gt;batch_stride_a * tid.z;</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> B += params-&gt;batch_stride_b * tid.z;</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> <span class="keywordflow">if</span> (<a class="code hl_variable" href="steel__gemm__fused_8h.html#a3fe4e4382bda8a419557a5e6f77bc084">use_out_source</a>) {</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> C += addmm_params-&gt;batch_stride_c * tid.z;</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> }</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 class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> D += params-&gt;batch_stride_d * tid.z;</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="comment">// Prepare threadgroup memory</span></div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> threadgroup T As[gemm_kernel::tgp_mem_size_a];</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> threadgroup T Bs[gemm_kernel::tgp_mem_size_b];</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> threadgroup_barrier(mem_flags::mem_none);</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> </div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <span class="comment">// Find block in A, B, C</span></div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="keyword">const</span> <span class="keywordtype">int</span> c_row = tid_y * BM;</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> <span class="keyword">const</span> <span class="keywordtype">int</span> c_col = tid_x * BN;</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</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="l00178" name="l00178"></a><span class="lineno"> 178</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="l00179" name="l00179"></a><span class="lineno"> 179</span> </div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> A += transpose_a ? c_row_long : c_row_long * params-&gt;lda;</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> B += transpose_b ? c_col_long * params-&gt;ldb : c_col_long;</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> D += c_row_long * params-&gt;ldd + c_col_long;</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> </div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="steel__gemm__fused_8h.html#a3fe4e4382bda8a419557a5e6f77bc084">use_out_source</a>) {</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> C += c_row_long * addmm_params-&gt;ldc + c_col_long * addmm_params-&gt;fdc;</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> <span class="comment">// Prepare threadgroup mma operation</span></div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> thread mma_t mma_op(simd_group_id, simd_lane_id);</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">// Prepare threadgroup loading operations</span></div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> thread loader_a_t loader_a(A, params-&gt;lda, As, simd_group_id, simd_lane_id);</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> thread loader_b_t loader_b(B, params-&gt;ldb, Bs, simd_group_id, simd_lane_id);</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="comment">// Prepare threadgroup bounds</span></div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> <span class="keyword">const</span> <span class="keywordtype">short</span> tgp_bm = <a class="code hl_variable" href="steel__gemm__fused_8h.html#a55af226dc74b0026b7d4b865142a6d21">align_M</a> ? BM : short(min(BM, params-&gt;M - c_row));</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> <span class="keyword">const</span> <span class="keywordtype">short</span> tgp_bn = <a class="code hl_variable" href="steel__gemm__fused_8h.html#aa3b267252df2dcbfdde8c5f174d27036">align_N</a> ? BN : short(min(BN, params-&gt;N - c_col));</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> </div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <span class="comment">// Prepare iterations</span></div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <span class="keywordtype">int</span> gemm_k_iterations = params-&gt;gemm_k_iterations_aligned;</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> </div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> <span class="comment">// Do unaligned K iterations first</span></div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <span class="keywordflow">if</span> (!<a class="code hl_variable" href="steel__gemm__fused_8h.html#a8bdd2cecf97aa5b033152b1d0f0d2416">align_K</a>) {</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <span class="keyword">const</span> <span class="keywordtype">int</span> k_last = params-&gt;gemm_k_iterations_aligned * BK;</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="keyword">const</span> <span class="keywordtype">int</span> k_remain = params-&gt;K - k_last;</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> k_jump_a =</div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> transpose_a ? params-&gt;lda * size_t(k_last) : size_t(k_last);</div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> k_jump_b =</div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> transpose_b ? size_t(k_last) : params-&gt;ldb * size_t(k_last);</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> </div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <span class="comment">// Move loader source ahead to end</span></div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> loader_a.src += k_jump_a;</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> loader_b.src += k_jump_b;</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> </div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> <span class="comment">// Load tile</span></div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> <span class="keyword">const</span> short2 tile_dims_A =</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> transpose_a ? short2(tgp_bm, k_remain) : short2(k_remain, tgp_bm);</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> <span class="keyword">const</span> short2 tile_dims_B =</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> transpose_b ? short2(k_remain, tgp_bn) : short2(tgp_bn, k_remain);</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> </div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> loader_a.load_safe(tile_dims_A);</div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> loader_b.load_safe(tile_dims_B);</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_barrier(mem_flags::mem_threadgroup);</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> </div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> <span class="comment">// Do matmul</span></div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> mma_op.mma(As, Bs);</div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> </div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> <span class="comment">// Reset source back to start</span></div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> loader_a.src -= k_jump_a;</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> loader_b.src -= k_jump_b;</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> </div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> <span class="keyword">const</span> <a class="code hl_struct" href="structmlx_1_1steel_1_1_transform_add.html">TransformAdd&lt;AccumType, AccumType&gt;</a> epilogue_op_add(</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> addmm_params-&gt;alpha, addmm_params-&gt;beta);</div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> <span class="keyword">const</span> <a class="code hl_struct" href="structmlx_1_1steel_1_1_transform_axpby.html">TransformAxpby&lt;AccumType, AccumType&gt;</a> epilogue_op_axpby(</div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> addmm_params-&gt;alpha, addmm_params-&gt;beta);</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> </div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> <span class="comment">// MNK aligned loop</span></div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="steel__gemm__fused_8h.html#a55af226dc74b0026b7d4b865142a6d21">align_M</a> &amp;&amp; <a class="code hl_variable" href="steel__gemm__fused_8h.html#aa3b267252df2dcbfdde8c5f174d27036">align_N</a>) {</div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> <span class="comment">// Do gemm</span></div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; gemm_k_iterations; k++) {</div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> threadgroup_barrier(mem_flags::mem_threadgroup);</div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> <span class="comment">// Load elements into threadgroup</span></div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> loader_a.load_unsafe();</div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> loader_b.load_unsafe();</div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> </div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> threadgroup_barrier(mem_flags::mem_threadgroup);</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="comment">// Multiply and accumulate threadgroup elements</span></div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> mma_op.mma(As, Bs);</div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> </div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> <span class="comment">// Prepare for next iteration</span></div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> loader_a.next();</div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> loader_b.next();</div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> }</div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> </div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> threadgroup_barrier(mem_flags::mem_none);</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> <span class="comment">// Do epilogue</span></div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="steel__gemm__fused_8h.html#a3fe4e4382bda8a419557a5e6f77bc084">use_out_source</a>) {</div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="steel__gemm__fused_8h.html#a703f06c849c89c37af7b1d27b0804a29">do_axpby</a>) {</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> mma_op.apply_epilogue(</div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> C, addmm_params-&gt;ldc, addmm_params-&gt;fdc, epilogue_op_axpby);</div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> mma_op.apply_epilogue(</div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> C, addmm_params-&gt;ldc, addmm_params-&gt;fdc, epilogue_op_add);</div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> }</div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> }</div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> </div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> <span class="comment">// Store results to device memory</span></div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> <span class="keywordflow">return</span> mma_op.store_result(D, params-&gt;ldd);</div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> </div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> }</div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> <span class="comment">// MN unaligned loop</span></div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> <span class="keywordflow">else</span> { <span class="comment">// Loop over K - unaligned case</span></div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> <span class="keyword">const</span> <span class="keywordtype">int</span> leftover_bk = 0;</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> </div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> <span class="keywordflow">if</span> ((<a class="code hl_variable" href="steel__gemm__fused_8h.html#a55af226dc74b0026b7d4b865142a6d21">align_M</a> || tgp_bm == BM) &amp;&amp; (<a class="code hl_variable" href="steel__gemm__fused_8h.html#aa3b267252df2dcbfdde8c5f174d27036">align_N</a> || tgp_bn == BN)) {</div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> <span class="comment">// Do gemm</span></div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> gemm_kernel::gemm_loop(</div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> As,</div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> Bs,</div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> gemm_k_iterations,</div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> loader_a,</div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> loader_b,</div>
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> mma_op,</div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> tgp_bm,</div>
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> tgp_bn,</div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> leftover_bk,</div>
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</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="l00294" name="l00294"></a><span class="lineno"> 294</span> </div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> <span class="comment">// Do epilogue</span></div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="steel__gemm__fused_8h.html#a3fe4e4382bda8a419557a5e6f77bc084">use_out_source</a>) {</div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="steel__gemm__fused_8h.html#a703f06c849c89c37af7b1d27b0804a29">do_axpby</a>) {</div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> mma_op.apply_epilogue(</div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> C, addmm_params-&gt;ldc, addmm_params-&gt;fdc, epilogue_op_axpby);</div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> mma_op.apply_epilogue(</div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> C, addmm_params-&gt;ldc, addmm_params-&gt;fdc, epilogue_op_add);</div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> }</div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> }</div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> </div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> <span class="comment">// Store results to device memory</span></div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> <span class="keywordflow">return</span> mma_op.store_result(D, params-&gt;ldd);</div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> </div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="steel__gemm__fused_8h.html#aa3b267252df2dcbfdde8c5f174d27036">align_N</a> || tgp_bn == BN) {</div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> gemm_kernel::gemm_loop(</div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> As,</div>
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> Bs,</div>
<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> gemm_k_iterations,</div>
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> loader_a,</div>
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> loader_b,</div>
<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> mma_op,</div>
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> tgp_bm,</div>
<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> tgp_bn,</div>
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> leftover_bk,</div>
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</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="l00321" name="l00321"></a><span class="lineno"> 321</span> </div>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> <span class="comment">// Do epilogue</span></div>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="steel__gemm__fused_8h.html#a3fe4e4382bda8a419557a5e6f77bc084">use_out_source</a>) {</div>
<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="steel__gemm__fused_8h.html#a703f06c849c89c37af7b1d27b0804a29">do_axpby</a>) {</div>
<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span> mma_op.apply_epilogue_safe(</div>
<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</span> C,</div>
<div class="line"><a id="l00327" name="l00327"></a><span class="lineno"> 327</span> addmm_params-&gt;ldc,</div>
<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span> addmm_params-&gt;fdc,</div>
<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> short2(tgp_bn, tgp_bm),</div>
<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span> epilogue_op_axpby);</div>
<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</span> mma_op.apply_epilogue_safe(</div>
<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span> C,</div>
<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span> addmm_params-&gt;ldc,</div>
<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"> 335</span> addmm_params-&gt;fdc,</div>
<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span> short2(tgp_bn, tgp_bm),</div>
<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span> epilogue_op_add);</div>
<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span> }</div>
<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"> 339</span> }</div>
<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"> 340</span> </div>
<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span> <span class="comment">// Store results to device memory</span></div>
<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span> <span class="keywordflow">return</span> mma_op.store_result_safe(D, params-&gt;ldd, short2(tgp_bn, tgp_bm));</div>
<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span> </div>
<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="steel__gemm__fused_8h.html#a55af226dc74b0026b7d4b865142a6d21">align_M</a> || tgp_bm == BM) {</div>
<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"> 345</span> gemm_kernel::gemm_loop(</div>
<div class="line"><a id="l00346" name="l00346"></a><span class="lineno"> 346</span> As,</div>
<div class="line"><a id="l00347" name="l00347"></a><span class="lineno"> 347</span> Bs,</div>
<div class="line"><a id="l00348" name="l00348"></a><span class="lineno"> 348</span> gemm_k_iterations,</div>
<div class="line"><a id="l00349" name="l00349"></a><span class="lineno"> 349</span> loader_a,</div>
<div class="line"><a id="l00350" name="l00350"></a><span class="lineno"> 350</span> loader_b,</div>
<div class="line"><a id="l00351" name="l00351"></a><span class="lineno"> 351</span> mma_op,</div>
<div class="line"><a id="l00352" name="l00352"></a><span class="lineno"> 352</span> tgp_bm,</div>
<div class="line"><a id="l00353" name="l00353"></a><span class="lineno"> 353</span> tgp_bn,</div>
<div class="line"><a id="l00354" name="l00354"></a><span class="lineno"> 354</span> leftover_bk,</div>
<div class="line"><a id="l00355" name="l00355"></a><span class="lineno"> 355</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="l00356" name="l00356"></a><span class="lineno"> 356</span> </div>
<div class="line"><a id="l00357" name="l00357"></a><span class="lineno"> 357</span> <span class="comment">// Do epilogue</span></div>
<div class="line"><a id="l00358" name="l00358"></a><span class="lineno"> 358</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="steel__gemm__fused_8h.html#a3fe4e4382bda8a419557a5e6f77bc084">use_out_source</a>) {</div>
<div class="line"><a id="l00359" name="l00359"></a><span class="lineno"> 359</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="steel__gemm__fused_8h.html#a703f06c849c89c37af7b1d27b0804a29">do_axpby</a>) {</div>
<div class="line"><a id="l00360" name="l00360"></a><span class="lineno"> 360</span> mma_op.apply_epilogue_safe(</div>
<div class="line"><a id="l00361" name="l00361"></a><span class="lineno"> 361</span> C,</div>
<div class="line"><a id="l00362" name="l00362"></a><span class="lineno"> 362</span> addmm_params-&gt;ldc,</div>
<div class="line"><a id="l00363" name="l00363"></a><span class="lineno"> 363</span> addmm_params-&gt;fdc,</div>
<div class="line"><a id="l00364" name="l00364"></a><span class="lineno"> 364</span> short2(tgp_bn, tgp_bm),</div>
<div class="line"><a id="l00365" name="l00365"></a><span class="lineno"> 365</span> epilogue_op_axpby);</div>
<div class="line"><a id="l00366" name="l00366"></a><span class="lineno"> 366</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00367" name="l00367"></a><span class="lineno"> 367</span> mma_op.apply_epilogue_safe(</div>
<div class="line"><a id="l00368" name="l00368"></a><span class="lineno"> 368</span> C,</div>
<div class="line"><a id="l00369" name="l00369"></a><span class="lineno"> 369</span> addmm_params-&gt;ldc,</div>
<div class="line"><a id="l00370" name="l00370"></a><span class="lineno"> 370</span> addmm_params-&gt;fdc,</div>
<div class="line"><a id="l00371" name="l00371"></a><span class="lineno"> 371</span> short2(tgp_bn, tgp_bm),</div>
<div class="line"><a id="l00372" name="l00372"></a><span class="lineno"> 372</span> epilogue_op_add);</div>
<div class="line"><a id="l00373" name="l00373"></a><span class="lineno"> 373</span> }</div>
<div class="line"><a id="l00374" name="l00374"></a><span class="lineno"> 374</span> }</div>
<div class="line"><a id="l00375" name="l00375"></a><span class="lineno"> 375</span> </div>
<div class="line"><a id="l00376" name="l00376"></a><span class="lineno"> 376</span> <span class="comment">// Store results to device memory</span></div>
<div class="line"><a id="l00377" name="l00377"></a><span class="lineno"> 377</span> <span class="keywordflow">return</span> mma_op.store_result_safe(D, params-&gt;ldd, short2(tgp_bn, tgp_bm));</div>
<div class="line"><a id="l00378" name="l00378"></a><span class="lineno"> 378</span> </div>
<div class="line"><a id="l00379" name="l00379"></a><span class="lineno"> 379</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00380" name="l00380"></a><span class="lineno"> 380</span> gemm_kernel::gemm_loop(</div>
<div class="line"><a id="l00381" name="l00381"></a><span class="lineno"> 381</span> As,</div>
<div class="line"><a id="l00382" name="l00382"></a><span class="lineno"> 382</span> Bs,</div>
<div class="line"><a id="l00383" name="l00383"></a><span class="lineno"> 383</span> gemm_k_iterations,</div>
<div class="line"><a id="l00384" name="l00384"></a><span class="lineno"> 384</span> loader_a,</div>
<div class="line"><a id="l00385" name="l00385"></a><span class="lineno"> 385</span> loader_b,</div>
<div class="line"><a id="l00386" name="l00386"></a><span class="lineno"> 386</span> mma_op,</div>
<div class="line"><a id="l00387" name="l00387"></a><span class="lineno"> 387</span> tgp_bm,</div>
<div class="line"><a id="l00388" name="l00388"></a><span class="lineno"> 388</span> tgp_bn,</div>
<div class="line"><a id="l00389" name="l00389"></a><span class="lineno"> 389</span> leftover_bk,</div>
<div class="line"><a id="l00390" name="l00390"></a><span class="lineno"> 390</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="l00391" name="l00391"></a><span class="lineno"> 391</span> </div>
<div class="line"><a id="l00392" name="l00392"></a><span class="lineno"> 392</span> <span class="comment">// Do epilogue</span></div>
<div class="line"><a id="l00393" name="l00393"></a><span class="lineno"> 393</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="steel__gemm__fused_8h.html#a3fe4e4382bda8a419557a5e6f77bc084">use_out_source</a>) {</div>
<div class="line"><a id="l00394" name="l00394"></a><span class="lineno"> 394</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="steel__gemm__fused_8h.html#a703f06c849c89c37af7b1d27b0804a29">do_axpby</a>) {</div>
<div class="line"><a id="l00395" name="l00395"></a><span class="lineno"> 395</span> mma_op.apply_epilogue_safe(</div>
<div class="line"><a id="l00396" name="l00396"></a><span class="lineno"> 396</span> C,</div>
<div class="line"><a id="l00397" name="l00397"></a><span class="lineno"> 397</span> addmm_params-&gt;ldc,</div>
<div class="line"><a id="l00398" name="l00398"></a><span class="lineno"> 398</span> addmm_params-&gt;fdc,</div>
<div class="line"><a id="l00399" name="l00399"></a><span class="lineno"> 399</span> short2(tgp_bn, tgp_bm),</div>
<div class="line"><a id="l00400" name="l00400"></a><span class="lineno"> 400</span> epilogue_op_axpby);</div>
<div class="line"><a id="l00401" name="l00401"></a><span class="lineno"> 401</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00402" name="l00402"></a><span class="lineno"> 402</span> mma_op.apply_epilogue_safe(</div>
<div class="line"><a id="l00403" name="l00403"></a><span class="lineno"> 403</span> C,</div>
<div class="line"><a id="l00404" name="l00404"></a><span class="lineno"> 404</span> addmm_params-&gt;ldc,</div>
<div class="line"><a id="l00405" name="l00405"></a><span class="lineno"> 405</span> addmm_params-&gt;fdc,</div>
<div class="line"><a id="l00406" name="l00406"></a><span class="lineno"> 406</span> short2(tgp_bn, tgp_bm),</div>
<div class="line"><a id="l00407" name="l00407"></a><span class="lineno"> 407</span> epilogue_op_add);</div>
<div class="line"><a id="l00408" name="l00408"></a><span class="lineno"> 408</span> }</div>
<div class="line"><a id="l00409" name="l00409"></a><span class="lineno"> 409</span> }</div>
<div class="line"><a id="l00410" name="l00410"></a><span class="lineno"> 410</span> </div>
<div class="line"><a id="l00411" name="l00411"></a><span class="lineno"> 411</span> <span class="comment">// Store results to device memory</span></div>
<div class="line"><a id="l00412" name="l00412"></a><span class="lineno"> 412</span> <span class="keywordflow">return</span> mma_op.store_result_safe(D, params-&gt;ldd, short2(tgp_bn, tgp_bm));</div>
<div class="line"><a id="l00413" name="l00413"></a><span class="lineno"> 413</span> }</div>
<div class="line"><a id="l00414" name="l00414"></a><span class="lineno"> 414</span> }</div>
<div class="line"><a id="l00415" name="l00415"></a><span class="lineno"> 415</span>}</div>
</div>
<div class="ttc" id="abackend_2metal_2kernels_2steel_2utils_8h_html_aaf4974425147d6f26d031691e321637f"><div class="ttname"><a href="backend_2metal_2kernels_2steel_2utils_8h.html#aaf4974425147d6f26d031691e321637f">elem_to_loc_broadcast</a></div><div class="ttdeci">METAL_FUNC ulong2 elem_to_loc_broadcast(uint elem, constant const int *shape, constant const size_t *a_strides, constant const size_t *b_strides, int ndim)</div><div class="ttdef"><b>Definition</b> utils.h:7</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="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__fused_8h_html_a3fe4e4382bda8a419557a5e6f77bc084"><div class="ttname"><a href="steel__gemm__fused_8h.html#a3fe4e4382bda8a419557a5e6f77bc084">use_out_source</a></div><div class="ttdeci">constant bool use_out_source</div><div class="ttdef"><b>Definition</b> steel_gemm_fused.h:11</div></div>
<div class="ttc" id="asteel__gemm__fused_8h_html_a55af226dc74b0026b7d4b865142a6d21"><div class="ttname"><a href="steel__gemm__fused_8h.html#a55af226dc74b0026b7d4b865142a6d21">align_M</a></div><div class="ttdeci">constant bool align_M</div><div class="ttdef"><b>Definition</b> steel_gemm_fused.h:14</div></div>
<div class="ttc" id="asteel__gemm__fused_8h_html_a60efac3ac3b7cd64d096bbae38a3ac69"><div class="ttname"><a href="steel__gemm__fused_8h.html#a60efac3ac3b7cd64d096bbae38a3ac69">do_gather</a></div><div class="ttdeci">constant bool do_gather</div><div class="ttdef"><b>Definition</b> steel_gemm_fused.h:18</div></div>
<div class="ttc" id="asteel__gemm__fused_8h_html_a703f06c849c89c37af7b1d27b0804a29"><div class="ttname"><a href="steel__gemm__fused_8h.html#a703f06c849c89c37af7b1d27b0804a29">do_axpby</a></div><div class="ttdeci">constant bool do_axpby</div><div class="ttdef"><b>Definition</b> steel_gemm_fused.h:12</div></div>
<div class="ttc" id="asteel__gemm__fused_8h_html_a8bdd2cecf97aa5b033152b1d0f0d2416"><div class="ttname"><a href="steel__gemm__fused_8h.html#a8bdd2cecf97aa5b033152b1d0f0d2416">align_K</a></div><div class="ttdeci">constant bool align_K</div><div class="ttdef"><b>Definition</b> steel_gemm_fused.h:16</div></div>
<div class="ttc" id="asteel__gemm__fused_8h_html_aa3b267252df2dcbfdde8c5f174d27036"><div class="ttname"><a href="steel__gemm__fused_8h.html#aa3b267252df2dcbfdde8c5f174d27036">align_N</a></div><div class="ttdeci">constant bool align_N</div><div class="ttdef"><b>Definition</b> steel_gemm_fused.h:15</div></div>
<div class="ttc" id="asteel__gemm__fused_8h_html_aa40dd40b9a0bbf20c8911032ed0c3e6d"><div class="ttname"><a href="steel__gemm__fused_8h.html#aa40dd40b9a0bbf20c8911032ed0c3e6d">gemm</a></div><div class="ttdeci">void gemm(const device T *A, const device T *B, const device T *C, device T *D, const constant GEMMParams *params, const constant GEMMAddMMParams *addmm_params, const constant int *batch_shape, const constant size_t *batch_strides, const constant uint32_t *lhs_indices, const constant uint32_t *rhs_indices, const constant uint32_t *C_indices, const constant int *operand_shape, const constant size_t *operand_strides, const constant packed_int3 &amp;operand_batch_ndim, uint simd_lane_id, uint simd_group_id, uint3 tid, uint3 lid)</div><div class="ttdef"><b>Definition</b> steel_gemm_fused.h:33</div></div>
<div class="ttc" id="asteel__gemm__fused_8h_html_aaaf17233201156be684f858bfd0f1b67"><div class="ttname"><a href="steel__gemm__fused_8h.html#aaaf17233201156be684f858bfd0f1b67">gather_bias</a></div><div class="ttdeci">constant bool gather_bias</div><div class="ttdef"><b>Definition</b> steel_gemm_fused.h:20</div></div>
<div class="ttc" id="asteel__gemm__fused_8h_html_adffcdc900c19ff97f1523e43f1a5a6cc"><div class="ttname"><a href="steel__gemm__fused_8h.html#adffcdc900c19ff97f1523e43f1a5a6cc">has_batch</a></div><div class="ttdeci">constant bool has_batch</div><div class="ttdef"><b>Definition</b> steel_gemm_fused.h:9</div></div>
<div class="ttc" id="astructmlx_1_1steel_1_1_g_e_m_m_add_m_m_params_html"><div class="ttname"><a href="structmlx_1_1steel_1_1_g_e_m_m_add_m_m_params.html">mlx::steel::GEMMAddMMParams</a></div><div class="ttdef"><b>Definition</b> params.h:53</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_params_html"><div class="ttname"><a href="structmlx_1_1steel_1_1_g_e_m_m_params.html">mlx::steel::GEMMParams</a></div><div class="ttdef"><b>Definition</b> params.h:12</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_add_html"><div class="ttname"><a href="structmlx_1_1steel_1_1_transform_add.html">mlx::steel::TransformAdd</a></div><div class="ttdef"><b>Definition</b> transforms.h:26</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>
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