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<a href="steel__attention_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 © 2024-25 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__attention_8h.html#a171fdea1b23976453f5dc5e6b3161982"> 9</a></span>constant <span class="keywordtype">bool</span> <a class="code hl_variable" href="steel__attention_8h.html#a171fdea1b23976453f5dc5e6b3161982">align_Q</a> [[function_constant(200)]];</div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"><a class="line" href="steel__attention_8h.html#a8bdd2cecf97aa5b033152b1d0f0d2416"> 10</a></span>constant <span class="keywordtype">bool</span> <a class="code hl_variable" href="steel__attention_8h.html#a8bdd2cecf97aa5b033152b1d0f0d2416">align_K</a> [[function_constant(201)]];</div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span> </div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"><a class="line" href="steel__attention_8h.html#a6ed0dd113fe7d471fc0b869b8c028c81"> 12</a></span>constant <span class="keywordtype">bool</span> <a class="code hl_variable" href="sdpa__vector_8h.html#a6ed0dd113fe7d471fc0b869b8c028c81">has_mask</a> [[function_constant(300)]];</div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"><a class="line" href="steel__attention_8h.html#abfa50278ba59a90e0acb7e5d94500741"> 13</a></span>constant <span class="keywordtype">bool</span> <a class="code hl_variable" href="steel__attention_8h.html#abfa50278ba59a90e0acb7e5d94500741">do_causal</a> [[function_constant(301)]];</div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span> </div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00016" data-start="{" data-end="};">
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"><a class="line" href="struct_transform_scale.html"> 16</a></span><span class="keyword">struct </span><a class="code hl_function" href="struct_transform_scale.html#ae109cf7c963ba13df96977e7563f7b70">TransformScale</a> {</div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"><a class="line" href="struct_transform_scale.html#aa56b8e107acf16fdf77006625c2b8bc6"> 17</a></span> T <a class="code hl_variable" href="struct_transform_scale.html#aa56b8e107acf16fdf77006625c2b8bc6">scale</a>;</div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"><a class="line" href="struct_transform_scale.html#ae109cf7c963ba13df96977e7563f7b70"> 18</a></span> METAL_FUNC <a class="code hl_function" href="struct_transform_scale.html#ae109cf7c963ba13df96977e7563f7b70">TransformScale</a>(T scale_) : <a class="code hl_variable" href="struct_transform_scale.html#aa56b8e107acf16fdf77006625c2b8bc6">scale</a>(scale_) {}</div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> </div>
<div class="foldopen" id="foldopen00020" data-start="{" data-end="}">
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"><a class="line" href="struct_transform_scale.html#a9dd329422e5b8da43486cdce17132e16"> 20</a></span> METAL_FUNC T <a class="code hl_function" href="struct_transform_scale.html#a9dd329422e5b8da43486cdce17132e16">apply</a>(T x)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="struct_transform_scale.html#aa56b8e107acf16fdf77006625c2b8bc6">scale</a> * x;</div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> }</div>
</div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span>};</div>
</div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> </div>
<div class="foldopen" id="foldopen00025" data-start="{" data-end="};">
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"><a class="line" href="struct_max_op.html"> 25</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_max_op.html">MaxOp</a> {</div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00027" data-start="{" data-end="}">
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"><a class="line" href="struct_max_op.html#ab3d3c3040017a13c170e7bdd1ffac46e"> 27</a></span> METAL_FUNC <span class="keyword">static</span> <span class="keyword">constexpr</span> T <a class="code hl_function" href="struct_max_op.html#ab3d3c3040017a13c170e7bdd1ffac46e">apply</a>(T x, T y) {</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacemetal.html#a853c80479ab2264d9c4587c7bcac767b">metal::max</a>(x, y);</div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> }</div>
</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span>};</div>
</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> </div>
<div class="foldopen" id="foldopen00032" data-start="{" data-end="};">
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"><a class="line" href="struct_sum_op.html"> 32</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_sum_op.html">SumOp</a> {</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00034" data-start="{" data-end="}">
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"><a class="line" href="struct_sum_op.html#aa9563a98cbbe1b1921ade0c63ab38b4d"> 34</a></span> METAL_FUNC <span class="keyword">static</span> <span class="keyword">constexpr</span> T <a class="code hl_function" href="struct_sum_op.html#aa9563a98cbbe1b1921ade0c63ab38b4d">apply</a>(T x, T y) {</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <span class="keywordflow">return</span> x + y;</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> }</div>
</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span>};</div>
</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> </div>
<div class="foldopen" id="foldopen00039" data-start="{" data-end="};">
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"><a class="line" href="struct_mul_op.html"> 39</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_mul_op.html">MulOp</a> {</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00041" data-start="{" data-end="}">
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"><a class="line" href="struct_mul_op.html#a1b93d804653d92fc7e46747de9e9c756"> 41</a></span> METAL_FUNC <span class="keyword">static</span> <span class="keyword">constexpr</span> T <a class="code hl_function" href="struct_mul_op.html#a1b93d804653d92fc7e46747de9e9c756">apply</a>(T x, T y) {</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="keywordflow">return</span> x * y;</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> }</div>
</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span>};</div>
</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> </div>
<div class="foldopen" id="foldopen00046" data-start="{" data-end="};">
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"><a class="line" href="struct_sub_op.html"> 46</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_sub_op.html">SubOp</a> {</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00048" data-start="{" data-end="}">
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"><a class="line" href="struct_sub_op.html#ad211f879a212ed0e98136217ca8e4143"> 48</a></span> METAL_FUNC <span class="keyword">static</span> <span class="keyword">constexpr</span> T <a class="code hl_function" href="struct_sub_op.html#ad211f879a212ed0e98136217ca8e4143">apply</a>(T x, T y) {</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordflow">return</span> x - y;</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> }</div>
</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span>};</div>
</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> </div>
<div class="foldopen" id="foldopen00053" data-start="{" data-end="};">
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"><a class="line" href="struct_exp_sub_op.html"> 53</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_exp_sub_op.html">ExpSubOp</a> {</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00055" data-start="{" data-end="}">
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"><a class="line" href="struct_exp_sub_op.html#a00e457a01cb38f959dfd789455e7f334"> 55</a></span> METAL_FUNC <span class="keyword">static</span> <span class="keyword">constexpr</span> T <a class="code hl_function" href="struct_exp_sub_op.html#a00e457a01cb38f959dfd789455e7f334">apply</a>(T x, T y) {</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keywordflow">return</span> fast::exp2(x - y);</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> }</div>
</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span>};</div>
</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> </div>
<div class="foldopen" id="foldopen00060" data-start="{" data-end="};">
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"><a class="line" href="struct_div_op.html"> 60</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct_div_op.html">DivOp</a> {</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00062" data-start="{" data-end="}">
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"><a class="line" href="struct_div_op.html#a1b8df47142dc6ea15315ce3a310f9221"> 62</a></span> METAL_FUNC <span class="keyword">static</span> <span class="keyword">constexpr</span> T <a class="code hl_function" href="struct_div_op.html#a1b8df47142dc6ea15315ce3a310f9221">apply</a>(T x, T y) {</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="keywordflow">return</span> x / y;</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> }</div>
</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span>};</div>
</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> </div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span><span class="comment">// clang-format off</span></div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span><span class="keyword">template</span> &lt;</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="keyword">typename</span> T,</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="keywordtype">int</span> BQ,</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="keywordtype">int</span> BK,</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="keywordtype">int</span> BD,</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="keywordtype">int</span> WM,</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="keywordtype">int</span> WN,</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="keyword">typename</span> MaskType = float,</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="keyword">typename</span> AccumType = <span class="keywordtype">float</span>&gt;</div>
<div class="foldopen" id="foldopen00077" data-start="{" data-end="}">
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"><a class="line" href="steel__attention_8h.html#a835f90451dd42ce2d52352d5cce0722a"> 77</a></span>[[kernel, max_total_threads_per_threadgroup(WM * WN * 32)]] <span class="keywordtype">void</span> <a class="code hl_function" href="steel__attention_8h.html#a835f90451dd42ce2d52352d5cce0722a">attention</a>(</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keyword">const</span> device T* Q [[buffer(0)]],</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <span class="keyword">const</span> device T* K [[buffer(1)]],</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keyword">const</span> device T* V [[buffer(2)]],</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> device T* O [[buffer(3)]],</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="keyword">const</span> constant <a class="code hl_struct" href="structmlx_1_1steel_1_1_attn_params.html">AttnParams</a>* params [[buffer(4)]],</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keyword">const</span> constant <a class="code hl_struct" href="structmlx_1_1steel_1_1_attn_mask_params.html">AttnMaskParams</a>* mask_params [[buffer(5), function_constant(<a class="code hl_variable" href="sdpa__vector_8h.html#a6ed0dd113fe7d471fc0b869b8c028c81">has_mask</a>)]],</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keyword">const</span> device MaskType* mask [[buffer(6), function_constant(<a class="code hl_variable" href="sdpa__vector_8h.html#a6ed0dd113fe7d471fc0b869b8c028c81">has_mask</a>)]],</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> uint simd_lane_id [[thread_index_in_simdgroup]],</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> uint simd_group_id [[simdgroup_index_in_threadgroup]],</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> uint3 tid [[threadgroup_position_in_grid]],</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> uint3 lid [[thread_position_in_threadgroup]]) { <span class="comment">// clang-format on</span></div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> </div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <span class="comment">// Pacifying compiler</span></div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> (void)lid;</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> </div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="comment">// Move to correct block</span></div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> ulong3 tidl{tid.x, tid.y, tid.z};</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> </div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> Q += tidl.z * params-&gt;Q_strides[0] + <span class="comment">// Batch</span></div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> tidl.y * params-&gt;Q_strides[1] + <span class="comment">// Head</span></div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> tidl.x * BQ * params-&gt;Q_strides[2]; <span class="comment">// Seqeunce</span></div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> </div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> ulong kv_head_idx = int(tid.y) / params-&gt;gqa_factor;</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> K += tidl.z * params-&gt;K_strides[0] + <span class="comment">// Batch</span></div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> kv_head_idx * params-&gt;K_strides[1]; <span class="comment">// Head</span></div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> </div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> V += tidl.z * params-&gt;V_strides[0] + <span class="comment">// Batch</span></div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> kv_head_idx * params-&gt;V_strides[1]; <span class="comment">// Head</span></div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> </div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> O += tidl.z * params-&gt;O_strides[0] + <span class="comment">// Batch</span></div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> tidl.y * params-&gt;O_strides[1] + <span class="comment">// Head</span></div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> tidl.x * BQ * params-&gt;O_strides[2]; <span class="comment">// Seqeunce</span></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">if</span> (<a class="code hl_variable" href="sdpa__vector_8h.html#a6ed0dd113fe7d471fc0b869b8c028c81">has_mask</a>) {</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> mask += tidl.z * mask_params-&gt;M_strides[0] + <span class="comment">// Batch</span></div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> tidl.y * mask_params-&gt;M_strides[1]; <span class="comment">// Head</span></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> </div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <span class="comment">// Prepare threadgroup memory</span></div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> padQ = 16 / <span class="keyword">sizeof</span>(T);</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> padK = 16 / <span class="keyword">sizeof</span>(T);</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> padV = 16 / <span class="keyword">sizeof</span>(T);</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> </div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> LDQ_tgp = BD + padQ;</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> LDK_tgp = BK + padK;</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> LDV_tgp = BD + padV;</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> </div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> tgp_mem_0 = (BK + padK) * (BD);</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> tgp_mem_1 = BK * (BD + padV);</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> tgp_mem_s = tgp_mem_0 &gt; tgp_mem_1 ? tgp_mem_0 : tgp_mem_1;</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> </div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> threadgroup T Q_smem[BQ * (BD + padQ)];</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> threadgroup T KV_smem[tgp_mem_s];</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> </div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> threadgroup T* Qs = Q_smem;</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> threadgroup T* Ks = KV_smem;</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> threadgroup T* Vs = KV_smem;</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> </div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="comment">// Prepare block loaders</span></div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <span class="keyword">using </span>QBlockLoader = <a class="code hl_struct" href="structmlx_1_1steel_1_1_block_loader_t.html">BlockLoaderT</a>&lt;</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <span class="comment">/* typename T = */</span> T,</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> <span class="comment">/* short BROWS = */</span> BQ,</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="comment">/* short BCOLS = */</span> BD,</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <span class="comment">/* short kDstStrRow = */</span> LDQ_tgp,</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="comment">/* short kDstStrCol = */</span> 1,</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="comment">/* short reduction_dim = */</span> 1,</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <span class="comment">/* short tgp_size = */</span> WM * WN * 32&gt;;</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> </div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <span class="comment">// K is loaded in transposed</span></div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="keyword">using </span>KBlockLoader = <a class="code hl_struct" href="structmlx_1_1steel_1_1_block_loader_t.html">BlockLoaderT</a>&lt;</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <span class="comment">/* typename T = */</span> T,</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <span class="comment">/* short BROWS = */</span> BK,</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> <span class="comment">/* short BCOLS = */</span> BD,</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <span class="comment">/* short kDstStrRow = */</span> 1,</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <span class="comment">/* short kDstStrCol = */</span> LDK_tgp,</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> <span class="comment">/* short reduction_dim = */</span> 0,</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> <span class="comment">/* short tgp_size = */</span> WM * WN * 32&gt;;</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="keyword">using </span>VBlockLoader = <a class="code hl_struct" href="structmlx_1_1steel_1_1_block_loader_t.html">BlockLoaderT</a>&lt;</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <span class="comment">/* typename T = */</span> T,</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> <span class="comment">/* short BROWS = */</span> BK,</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> <span class="comment">/* short BCOLS = */</span> BD,</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> <span class="comment">/* short kDstStrRow = */</span> LDV_tgp,</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> <span class="comment">/* short kDstStrCol = */</span> 1,</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> <span class="comment">/* short reduction_dim = */</span> 0,</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> <span class="comment">/* short tgp_size = */</span> WM * WN * 32&gt;;</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> QBlockLoader loader_q(</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> Q, params-&gt;Q_strides[2], Qs, simd_group_id, simd_lane_id);</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> KBlockLoader loader_k(</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> K, params-&gt;K_strides[2], Ks, simd_group_id, simd_lane_id);</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> VBlockLoader loader_v(</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> V, params-&gt;V_strides[2], Vs, simd_group_id, simd_lane_id);</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> <a class="code hl_struct" href="struct_transform_scale.html">TransformScale&lt;T&gt;</a> ts(<span class="keyword">static_cast&lt;</span>T<span class="keyword">&gt;</span>(params-&gt;scale * 1.44269504089));</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">// Prepare MMA tiles</span></div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> kFragSize = 8; <span class="comment">// MMAFrag size</span></div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> <span class="keyword">using </span>MMAFrag_acc_t = <a class="code hl_struct" href="structmlx_1_1steel_1_1_base_m_m_a_frag.html">BaseMMAFrag&lt;AccumType, kFragSize, kFragSize&gt;</a>;</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> </div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> <span class="keyword">constexpr</span> <span class="keywordtype">int</span> kNWarps = WM * WN;</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> <span class="keyword">static_assert</span>(</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> BQ &gt;= (kNWarps * kFragSize) &amp;&amp; BQ % (kNWarps * kFragSize) == 0,</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <span class="stringliteral">&quot;Each simdgroup must host atleast 1 simdgroup matrix along Q sequence.&quot;</span>);</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="comment">// Q seq frags per warp</span></div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <span class="keyword">constexpr</span> <span class="keywordtype">int</span> TQ = BQ / (kNWarps * kFragSize);</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> <span class="comment">// KV sequence frags (all warps load the same frags)</span></div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> <span class="keyword">constexpr</span> <span class="keywordtype">int</span> TK = BK / kFragSize;</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> <span class="comment">// HeadDim frags (all warps load the same frags)</span></div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> <span class="keyword">constexpr</span> <span class="keywordtype">int</span> TD = BD / kFragSize;</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> </div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> <span class="keyword">static_assert</span>(TQ == 1, <span class="stringliteral">&quot;Check TQ&quot;</span>);</div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> </div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> <a class="code hl_struct" href="structmlx_1_1steel_1_1_m_m_a_tile.html">MMATile&lt;AccumType, TQ, 1, MMAFrag_acc_t&gt;</a> Qtile;</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <a class="code hl_struct" href="structmlx_1_1steel_1_1_m_m_a_tile.html">MMATile&lt;AccumType, 1, TK, MMAFrag_acc_t&gt;</a> Ktile;</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> <a class="code hl_struct" href="structmlx_1_1steel_1_1_m_m_a_tile.html">MMATile&lt;AccumType, TQ, TK, MMAFrag_acc_t&gt;</a> Stile;</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> <a class="code hl_struct" href="structmlx_1_1steel_1_1_m_m_a_tile.html">MMATile&lt;AccumType, 1, 1, MMAFrag_acc_t&gt;</a> Vtile;</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> <a class="code hl_struct" href="structmlx_1_1steel_1_1_m_m_a_tile.html">MMATile&lt;AccumType, TQ, TD, MMAFrag_acc_t&gt;</a> Otile;</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> </div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> Otile.<a class="code hl_function" href="structmlx_1_1steel_1_1_m_m_a_tile.html#aa97a98e423827a889c13a92217626ec7">clear</a>();</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> </div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <span class="comment">// Prepare mma tile offsets</span></div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> <span class="keyword">const</span> short2 simd_coord = MMAFrag_acc_t::get_coord(simd_lane_id);</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> <span class="keyword">const</span> <span class="keywordtype">short</span> sm = simd_coord.y;</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <span class="keyword">const</span> <span class="keywordtype">short</span> sn = simd_coord.x;</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <span class="keyword">const</span> <span class="keywordtype">short</span> tm = kFragSize * TQ * simd_group_id;</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> </div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> <span class="keyword">const</span> <span class="keywordtype">short</span> Qs_offset = (tm + sm) * LDQ_tgp + sn;</div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> <span class="keyword">const</span> <span class="keywordtype">short</span> Ks_offset = sm * LDK_tgp + sn;</div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> <span class="keyword">const</span> <span class="keywordtype">short</span> Vs_offset = sm * LDV_tgp + sn;</div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> </div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> Qs_tile_stride = kFragSize;</div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> Ks_tile_stride = kFragSize * LDK_tgp;</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> </div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> threadgroup_barrier(mem_flags::mem_threadgroup);</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 Q blocks apply scale</span></div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> <span class="keywordflow">if</span> (!<a class="code hl_variable" href="steel__attention_8h.html#a171fdea1b23976453f5dc5e6b3161982">align_Q</a> &amp;&amp; <span class="keywordtype">int</span>(tid.x) == (params-&gt;NQ_aligned)) {</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> loader_q.load_safe(short2(BD, params-&gt;qL_rem));</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> loader_q.load_unsafe();</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_q.apply_inplace_op(ts);</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> <span class="comment">// Init row reduction variables</span></div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> kRowsPT = <span class="keyword">decltype</span>(Stile)::kRowsPerThread;</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> AccumType max_score[kRowsPT];</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> AccumType sum_score[kRowsPT] = {0};</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">// Init to -Inf</span></div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> <a class="code hl_define" href="steel_2defines_8h.html#a5a5c3095b132a7589bc19cd5cb80e2c6">STEEL_PRAGMA_UNROLL</a></div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> i = 0; i &lt; kRowsPT; ++i) {</div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> max_score[i] = <a class="code hl_variable" href="struct_limits.html#a6e81584ba65a4dc6ff9366b458e3a20e">Limits&lt;AccumType&gt;::min</a>;</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> </div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> <span class="keywordtype">int</span> kb_lim = params-&gt;NK;</div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> </div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="steel__attention_8h.html#abfa50278ba59a90e0acb7e5d94500741">do_causal</a>) {</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> <span class="keywordtype">int</span> q_max = (tid.x + 1) * BQ + params-&gt;qL_off;</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> kb_lim = (q_max + BK - 1) / BK;</div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> }</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> </div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> <span class="comment">// Loop over KV seq length</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> kb = 0; kb &lt; kb_lim; kb++) {</div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> <span class="comment">// Load K block and apply scale</span></div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> threadgroup_barrier(mem_flags::mem_threadgroup);</div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> <span class="keywordflow">if</span> (!<a class="code hl_variable" href="steel__attention_8h.html#a8bdd2cecf97aa5b033152b1d0f0d2416">align_K</a> &amp;&amp; kb == (params-&gt;NK_aligned)) {</div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> loader_k.load_safe(short2(BD, params-&gt;kL_rem));</div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> loader_k.load_unsafe();</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> </div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> <span class="comment">// Do S = Q @ K.T</span></div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> Stile.<a class="code hl_function" href="structmlx_1_1steel_1_1_m_m_a_tile.html#aa97a98e423827a889c13a92217626ec7">clear</a>();</div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> </div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> threadgroup_barrier(mem_flags::mem_threadgroup);</div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> </div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> <a class="code hl_define" href="steel_2defines_8h.html#a5a5c3095b132a7589bc19cd5cb80e2c6">STEEL_PRAGMA_UNROLL</a></div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> dd = 0; dd &lt; TD; dd++) {</div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> simdgroup_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> Qtile.template load&lt;T, 1, 1, LDQ_tgp, 1&gt;(</div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> &amp;Qs[Qs_offset + dd * Qs_tile_stride]);</div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> Ktile.template load&lt;T, 1, 1, LDK_tgp, 1&gt;(</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> &amp;Ks[Ks_offset + dd * Ks_tile_stride]);</div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> </div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> simdgroup_barrier(mem_flags::mem_none);</div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> </div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> <a class="code hl_function" href="namespacemlx_1_1steel.html#ab9fdcb06fb1f639f9120ab14cfedd150">tile_matmad</a>(Stile, Qtile, Ktile, Stile);</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> <span class="comment">// Mask out length sequence</span></div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> <span class="keywordflow">if</span> (!<a class="code hl_variable" href="steel__attention_8h.html#a8bdd2cecf97aa5b033152b1d0f0d2416">align_K</a> &amp;&amp; kb == (params-&gt;NK_aligned)) {</div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> <span class="keyword">using </span>stile_t = <span class="keyword">decltype</span>(Stile);</div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> <span class="keyword">using </span>selem_t = <span class="keyword">typename</span> stile_t::elem_type;</div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> <span class="keyword">constexpr</span> <span class="keyword">auto</span> neg_inf = -metal::numeric_limits&lt;selem_t&gt;::infinity();</div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> </div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> <a class="code hl_define" href="steel_2defines_8h.html#a5a5c3095b132a7589bc19cd5cb80e2c6">STEEL_PRAGMA_UNROLL</a></div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> i = 0; i &lt; stile_t::kTileRows; i++) {</div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> <a class="code hl_define" href="steel_2defines_8h.html#a5a5c3095b132a7589bc19cd5cb80e2c6">STEEL_PRAGMA_UNROLL</a></div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> j = 0; j &lt; stile_t::kTileCols; j++) {</div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> <span class="keywordtype">short</span> col_pos = sn + (j * stile_t::kFragCols);</div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> <a class="code hl_define" href="steel_2defines_8h.html#a5a5c3095b132a7589bc19cd5cb80e2c6">STEEL_PRAGMA_UNROLL</a></div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> jj = 0; jj &lt; stile_t::MMAFrag_t::kElemCols; jj++) {</div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> <span class="keywordflow">if</span> ((col_pos + jj) &gt;= params-&gt;kL_rem) {</div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> Stile.<a class="code hl_function" href="structmlx_1_1steel_1_1_m_m_a_tile.html#a1a6b1446e8c8da46885bbaa8e8fdc7e4">frag_at</a>(i, j)[jj] = neg_inf;</div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> }</div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> }</div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> }</div>
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> }</div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> }</div>
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> </div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> <span class="comment">// Mask out if causal</span></div>
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="steel__attention_8h.html#abfa50278ba59a90e0acb7e5d94500741">do_causal</a> &amp;&amp; kb &gt;= (kb_lim - (BQ + BK - 1) / BK - <span class="keywordtype">int</span>(!<a class="code hl_variable" href="steel__attention_8h.html#a8bdd2cecf97aa5b033152b1d0f0d2416">align_K</a>))) {</div>
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> <span class="keyword">using </span>stile_t = <span class="keyword">decltype</span>(Stile);</div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> <span class="keyword">using </span>selem_t = <span class="keyword">typename</span> stile_t::elem_type;</div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> <span class="keyword">constexpr</span> <span class="keyword">auto</span> neg_inf = -metal::numeric_limits&lt;selem_t&gt;::infinity();</div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> </div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> <a class="code hl_define" href="steel_2defines_8h.html#a5a5c3095b132a7589bc19cd5cb80e2c6">STEEL_PRAGMA_UNROLL</a></div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> i = 0; i &lt; stile_t::kTileRows; i++) {</div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> <span class="keyword">const</span> <span class="keywordtype">int</span> row_pos =</div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> tid.x * BQ + params-&gt;qL_off + tm + sm + (i * stile_t::kFragRows);</div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> <a class="code hl_define" href="steel_2defines_8h.html#a5a5c3095b132a7589bc19cd5cb80e2c6">STEEL_PRAGMA_UNROLL</a></div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> j = 0; j &lt; stile_t::kTileCols; j++) {</div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> <span class="keyword">const</span> <span class="keywordtype">int</span> col_pos = kb * BK + sn + (j * stile_t::kFragCols);</div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> <a class="code hl_define" href="steel_2defines_8h.html#a5a5c3095b132a7589bc19cd5cb80e2c6">STEEL_PRAGMA_UNROLL</a></div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> jj = 0; jj &lt; stile_t::MMAFrag_t::kElemCols; jj++) {</div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> <span class="keywordflow">if</span> (row_pos &lt; (col_pos + jj)) {</div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> Stile.<a class="code hl_function" href="structmlx_1_1steel_1_1_m_m_a_tile.html#a1a6b1446e8c8da46885bbaa8e8fdc7e4">frag_at</a>(i, j)[jj] = neg_inf;</div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> }</div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> }</div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> }</div>
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> }</div>
<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> }</div>
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> </div>
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> <span class="comment">// Other masking as needed</span></div>
<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="sdpa__vector_8h.html#a6ed0dd113fe7d471fc0b869b8c028c81">has_mask</a>) {</div>
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> <span class="keyword">using </span>stile_t = <span class="keyword">decltype</span>(Stile);</div>
<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> <span class="keyword">using </span>selem_t = <span class="keyword">typename</span> stile_t::elem_type;</div>
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> <span class="keyword">constexpr</span> <span class="keyword">auto</span> neg_inf = -metal::numeric_limits&lt;selem_t&gt;::infinity();</div>
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> </div>
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> <span class="keyword">constexpr</span> <span class="keywordtype">bool</span> is_bool = is_same_v&lt;MaskType, bool&gt;;</div>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> <span class="keyword">using </span>melem_t = <span class="keyword">typename</span> metal::conditional_t&lt;is_bool, bool, selem_t&gt;;</div>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> </div>
<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> <span class="keyword">using </span>MMAFrag_mask_t = <a class="code hl_struct" href="structmlx_1_1steel_1_1_base_m_m_a_frag.html">BaseMMAFrag&lt;melem_t, kFragSize, kFragSize&gt;</a>;</div>
<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span> <span class="keyword">using </span>frag_t = <span class="keyword">typename</span> MMAFrag_mask_t::frag_type;</div>
<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</span> </div>
<div class="line"><a id="l00327" name="l00327"></a><span class="lineno"> 327</span> <a class="code hl_define" href="steel_2defines_8h.html#a5a5c3095b132a7589bc19cd5cb80e2c6">STEEL_PRAGMA_UNROLL</a></div>
<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> i = 0; i &lt; stile_t::kTileRows; i++) {</div>
<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> <span class="keyword">const</span> <span class="keywordtype">int</span> row_pos = tid.x * BQ + tm + sm + (i * stile_t::kFragRows);</div>
<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span> <a class="code hl_define" href="steel_2defines_8h.html#a5a5c3095b132a7589bc19cd5cb80e2c6">STEEL_PRAGMA_UNROLL</a></div>
<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> j = 0; j &lt; stile_t::kTileCols; j++) {</div>
<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</span> <span class="keyword">const</span> <span class="keywordtype">int</span> col_pos = kb * BK + sn + (j * stile_t::kFragCols);</div>
<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span> </div>
<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span> frag_t mfrag;</div>
<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"> 335</span> </div>
<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span> MMAFrag_mask_t::load_safe(</div>
<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span> mfrag,</div>
<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span> mask,</div>
<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"> 339</span> <span class="keywordtype">int</span>(mask_params-&gt;M_strides[2]),</div>
<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"> 340</span> <a class="code hl_typedef" href="namespacemlx_1_1steel.html#afe36ddf6725498d273e5eef4f1579891">Int&lt;1&gt;</a>{},</div>
<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span> params-&gt;qL,</div>
<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span> params-&gt;kL,</div>
<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span> row_pos,</div>
<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span> col_pos);</div>
<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"> 345</span> </div>
<div class="line"><a id="l00346" name="l00346"></a><span class="lineno"> 346</span> <a class="code hl_define" href="steel_2defines_8h.html#a5a5c3095b132a7589bc19cd5cb80e2c6">STEEL_PRAGMA_UNROLL</a></div>
<div class="line"><a id="l00347" name="l00347"></a><span class="lineno"> 347</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> jj = 0; jj &lt; stile_t::MMAFrag_t::kElemsPerFrag; jj++) {</div>
<div class="line"><a id="l00348" name="l00348"></a><span class="lineno"> 348</span> <span class="keywordflow">if</span> <span class="keyword">constexpr</span> (is_bool) {</div>
<div class="line"><a id="l00349" name="l00349"></a><span class="lineno"> 349</span> Stile.<a class="code hl_function" href="structmlx_1_1steel_1_1_m_m_a_tile.html#a1a6b1446e8c8da46885bbaa8e8fdc7e4">frag_at</a>(i, j)[jj] =</div>
<div class="line"><a id="l00350" name="l00350"></a><span class="lineno"> 350</span> mfrag[jj] ? Stile.<a class="code hl_function" href="structmlx_1_1steel_1_1_m_m_a_tile.html#a1a6b1446e8c8da46885bbaa8e8fdc7e4">frag_at</a>(i, j)[jj] : neg_inf;</div>
<div class="line"><a id="l00351" name="l00351"></a><span class="lineno"> 351</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00352" name="l00352"></a><span class="lineno"> 352</span> Stile.<a class="code hl_function" href="structmlx_1_1steel_1_1_m_m_a_tile.html#a1a6b1446e8c8da46885bbaa8e8fdc7e4">frag_at</a>(i, j)[jj] += 1.44269504089 * selem_t(mfrag[jj]);</div>
<div class="line"><a id="l00353" name="l00353"></a><span class="lineno"> 353</span> }</div>
<div class="line"><a id="l00354" name="l00354"></a><span class="lineno"> 354</span> }</div>
<div class="line"><a id="l00355" name="l00355"></a><span class="lineno"> 355</span> }</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> }</div>
<div class="line"><a id="l00358" name="l00358"></a><span class="lineno"> 358</span> </div>
<div class="line"><a id="l00359" name="l00359"></a><span class="lineno"> 359</span> threadgroup_barrier(mem_flags::mem_threadgroup);</div>
<div class="line"><a id="l00360" name="l00360"></a><span class="lineno"> 360</span> </div>
<div class="line"><a id="l00361" name="l00361"></a><span class="lineno"> 361</span> <span class="comment">// Load V blocks</span></div>
<div class="line"><a id="l00362" name="l00362"></a><span class="lineno"> 362</span> <span class="keywordflow">if</span> (!<a class="code hl_variable" href="steel__attention_8h.html#a8bdd2cecf97aa5b033152b1d0f0d2416">align_K</a> &amp;&amp; kb == (params-&gt;NK_aligned)) {</div>
<div class="line"><a id="l00363" name="l00363"></a><span class="lineno"> 363</span> loader_v.load_safe(short2(BD, params-&gt;kL_rem));</div>
<div class="line"><a id="l00364" name="l00364"></a><span class="lineno"> 364</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00365" name="l00365"></a><span class="lineno"> 365</span> loader_v.load_unsafe();</div>
<div class="line"><a id="l00366" name="l00366"></a><span class="lineno"> 366</span> }</div>
<div class="line"><a id="l00367" name="l00367"></a><span class="lineno"> 367</span> </div>
<div class="line"><a id="l00368" name="l00368"></a><span class="lineno"> 368</span> <span class="comment">// Do softmax</span></div>
<div class="line"><a id="l00369" name="l00369"></a><span class="lineno"> 369</span> </div>
<div class="line"><a id="l00370" name="l00370"></a><span class="lineno"> 370</span> <span class="comment">// Temp variables</span></div>
<div class="line"><a id="l00371" name="l00371"></a><span class="lineno"> 371</span> AccumType new_max[kRowsPT];</div>
<div class="line"><a id="l00372" name="l00372"></a><span class="lineno"> 372</span> AccumType factor[kRowsPT];</div>
<div class="line"><a id="l00373" name="l00373"></a><span class="lineno"> 373</span> <a class="code hl_define" href="steel_2defines_8h.html#a5a5c3095b132a7589bc19cd5cb80e2c6">STEEL_PRAGMA_UNROLL</a></div>
<div class="line"><a id="l00374" name="l00374"></a><span class="lineno"> 374</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> i = 0; i &lt; kRowsPT; ++i) {</div>
<div class="line"><a id="l00375" name="l00375"></a><span class="lineno"> 375</span> new_max[i] = max_score[i];</div>
<div class="line"><a id="l00376" name="l00376"></a><span class="lineno"> 376</span> }</div>
<div class="line"><a id="l00377" name="l00377"></a><span class="lineno"> 377</span> </div>
<div class="line"><a id="l00378" name="l00378"></a><span class="lineno"> 378</span> <span class="comment">// Row max</span></div>
<div class="line"><a id="l00379" name="l00379"></a><span class="lineno"> 379</span> Stile.template row_reduce&lt;MaxOp&gt;(new_max);</div>
<div class="line"><a id="l00380" name="l00380"></a><span class="lineno"> 380</span> </div>
<div class="line"><a id="l00381" name="l00381"></a><span class="lineno"> 381</span> <span class="comment">// exp(Si - rowmax(Si))</span></div>
<div class="line"><a id="l00382" name="l00382"></a><span class="lineno"> 382</span> Stile.template row_bin_op&lt;ExpSubOp&gt;(new_max);</div>
<div class="line"><a id="l00383" name="l00383"></a><span class="lineno"> 383</span> </div>
<div class="line"><a id="l00384" name="l00384"></a><span class="lineno"> 384</span> <span class="comment">// Factor exp(rowmax(Si) - rowmax(Si-1))</span></div>
<div class="line"><a id="l00385" name="l00385"></a><span class="lineno"> 385</span> <a class="code hl_define" href="steel_2defines_8h.html#a5a5c3095b132a7589bc19cd5cb80e2c6">STEEL_PRAGMA_UNROLL</a></div>
<div class="line"><a id="l00386" name="l00386"></a><span class="lineno"> 386</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> i = 0; i &lt; kRowsPT; ++i) {</div>
<div class="line"><a id="l00387" name="l00387"></a><span class="lineno"> 387</span> factor[i] = fast::exp2(max_score[i] - new_max[i]);</div>
<div class="line"><a id="l00388" name="l00388"></a><span class="lineno"> 388</span> }</div>
<div class="line"><a id="l00389" name="l00389"></a><span class="lineno"> 389</span> </div>
<div class="line"><a id="l00390" name="l00390"></a><span class="lineno"> 390</span> <span class="comment">// Save max for next iteration</span></div>
<div class="line"><a id="l00391" name="l00391"></a><span class="lineno"> 391</span> <a class="code hl_define" href="steel_2defines_8h.html#a5a5c3095b132a7589bc19cd5cb80e2c6">STEEL_PRAGMA_UNROLL</a></div>
<div class="line"><a id="l00392" name="l00392"></a><span class="lineno"> 392</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> i = 0; i &lt; kRowsPT; ++i) {</div>
<div class="line"><a id="l00393" name="l00393"></a><span class="lineno"> 393</span> max_score[i] = new_max[i];</div>
<div class="line"><a id="l00394" name="l00394"></a><span class="lineno"> 394</span> }</div>
<div class="line"><a id="l00395" name="l00395"></a><span class="lineno"> 395</span> </div>
<div class="line"><a id="l00396" name="l00396"></a><span class="lineno"> 396</span> <span class="comment">// Row Sum</span></div>
<div class="line"><a id="l00397" name="l00397"></a><span class="lineno"> 397</span> AccumType sum_score_tmp[kRowsPT] = {0};</div>
<div class="line"><a id="l00398" name="l00398"></a><span class="lineno"> 398</span> Stile.template row_reduce&lt;SumOp&gt;(sum_score_tmp);</div>
<div class="line"><a id="l00399" name="l00399"></a><span class="lineno"> 399</span> </div>
<div class="line"><a id="l00400" name="l00400"></a><span class="lineno"> 400</span> <span class="comment">// Update norm</span></div>
<div class="line"><a id="l00401" name="l00401"></a><span class="lineno"> 401</span> <a class="code hl_define" href="steel_2defines_8h.html#a5a5c3095b132a7589bc19cd5cb80e2c6">STEEL_PRAGMA_UNROLL</a></div>
<div class="line"><a id="l00402" name="l00402"></a><span class="lineno"> 402</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> i = 0; i &lt; kRowsPT; ++i) {</div>
<div class="line"><a id="l00403" name="l00403"></a><span class="lineno"> 403</span> sum_score[i] = sum_score[i] * factor[i] + sum_score_tmp[i];</div>
<div class="line"><a id="l00404" name="l00404"></a><span class="lineno"> 404</span> }</div>
<div class="line"><a id="l00405" name="l00405"></a><span class="lineno"> 405</span> </div>
<div class="line"><a id="l00406" name="l00406"></a><span class="lineno"> 406</span> <span class="comment">// Update O</span></div>
<div class="line"><a id="l00407" name="l00407"></a><span class="lineno"> 407</span> Otile.template row_bin_op&lt;MulOp&gt;(factor);</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> <span class="comment">// Load V into registers</span></div>
<div class="line"><a id="l00410" name="l00410"></a><span class="lineno"> 410</span> threadgroup_barrier(mem_flags::mem_threadgroup);</div>
<div class="line"><a id="l00411" name="l00411"></a><span class="lineno"> 411</span> </div>
<div class="line"><a id="l00412" name="l00412"></a><span class="lineno"> 412</span> <a class="code hl_define" href="steel_2defines_8h.html#a5a5c3095b132a7589bc19cd5cb80e2c6">STEEL_PRAGMA_UNROLL</a></div>
<div class="line"><a id="l00413" name="l00413"></a><span class="lineno"> 413</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> iq = 0; iq &lt; TQ; iq++) {</div>
<div class="line"><a id="l00414" name="l00414"></a><span class="lineno"> 414</span> <a class="code hl_define" href="steel_2defines_8h.html#a5a5c3095b132a7589bc19cd5cb80e2c6">STEEL_PRAGMA_UNROLL</a></div>
<div class="line"><a id="l00415" name="l00415"></a><span class="lineno"> 415</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> <span class="keywordtype">id</span> = 0; <span class="keywordtype">id</span> &lt; TD; <span class="keywordtype">id</span>++) {</div>
<div class="line"><a id="l00416" name="l00416"></a><span class="lineno"> 416</span> <a class="code hl_define" href="steel_2defines_8h.html#a5a5c3095b132a7589bc19cd5cb80e2c6">STEEL_PRAGMA_UNROLL</a></div>
<div class="line"><a id="l00417" name="l00417"></a><span class="lineno"> 417</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> ik = 0; ik &lt; TK; ik++) {</div>
<div class="line"><a id="l00418" name="l00418"></a><span class="lineno"> 418</span> <span class="keywordflow">if</span> <span class="keyword">constexpr</span> (BD == 128) {</div>
<div class="line"><a id="l00419" name="l00419"></a><span class="lineno"> 419</span> simdgroup_barrier(mem_flags::mem_none);</div>
<div class="line"><a id="l00420" name="l00420"></a><span class="lineno"> 420</span> }</div>
<div class="line"><a id="l00421" name="l00421"></a><span class="lineno"> 421</span> </div>
<div class="line"><a id="l00422" name="l00422"></a><span class="lineno"> 422</span> <span class="keyword">const</span> <span class="keywordtype">short</span> kk = ik * kFragSize;</div>
<div class="line"><a id="l00423" name="l00423"></a><span class="lineno"> 423</span> <span class="keyword">const</span> <span class="keywordtype">short</span> dd = <span class="keywordtype">id</span> * kFragSize;</div>
<div class="line"><a id="l00424" name="l00424"></a><span class="lineno"> 424</span> </div>
<div class="line"><a id="l00425" name="l00425"></a><span class="lineno"> 425</span> Vtile.template load&lt;T, 1, 1, LDV_tgp, 1&gt;(</div>
<div class="line"><a id="l00426" name="l00426"></a><span class="lineno"> 426</span> &amp;Vs[Vs_offset + kk * LDV_tgp + dd]);</div>
<div class="line"><a id="l00427" name="l00427"></a><span class="lineno"> 427</span> </div>
<div class="line"><a id="l00428" name="l00428"></a><span class="lineno"> 428</span> <span class="keywordflow">if</span> <span class="keyword">constexpr</span> (BD == 128) {</div>
<div class="line"><a id="l00429" name="l00429"></a><span class="lineno"> 429</span> simdgroup_barrier(mem_flags::mem_none);</div>
<div class="line"><a id="l00430" name="l00430"></a><span class="lineno"> 430</span> }</div>
<div class="line"><a id="l00431" name="l00431"></a><span class="lineno"> 431</span> </div>
<div class="line"><a id="l00432" name="l00432"></a><span class="lineno"> 432</span> MMAFrag_acc_t::mma(</div>
<div class="line"><a id="l00433" name="l00433"></a><span class="lineno"> 433</span> Otile.<a class="code hl_function" href="structmlx_1_1steel_1_1_m_m_a_tile.html#a1a6b1446e8c8da46885bbaa8e8fdc7e4">frag_at</a>(iq, <span class="keywordtype">id</span>),</div>
<div class="line"><a id="l00434" name="l00434"></a><span class="lineno"> 434</span> Stile.<a class="code hl_function" href="structmlx_1_1steel_1_1_m_m_a_tile.html#a1a6b1446e8c8da46885bbaa8e8fdc7e4">frag_at</a>(iq, ik),</div>
<div class="line"><a id="l00435" name="l00435"></a><span class="lineno"> 435</span> Vtile.<a class="code hl_function" href="structmlx_1_1steel_1_1_m_m_a_tile.html#a1a6b1446e8c8da46885bbaa8e8fdc7e4">frag_at</a>(0, 0),</div>
<div class="line"><a id="l00436" name="l00436"></a><span class="lineno"> 436</span> Otile.<a class="code hl_function" href="structmlx_1_1steel_1_1_m_m_a_tile.html#a1a6b1446e8c8da46885bbaa8e8fdc7e4">frag_at</a>(iq, <span class="keywordtype">id</span>));</div>
<div class="line"><a id="l00437" name="l00437"></a><span class="lineno"> 437</span> }</div>
<div class="line"><a id="l00438" name="l00438"></a><span class="lineno"> 438</span> }</div>
<div class="line"><a id="l00439" name="l00439"></a><span class="lineno"> 439</span> }</div>
<div class="line"><a id="l00440" name="l00440"></a><span class="lineno"> 440</span> </div>
<div class="line"><a id="l00441" name="l00441"></a><span class="lineno"> 441</span> <span class="comment">// Prepare for next iteration</span></div>
<div class="line"><a id="l00442" name="l00442"></a><span class="lineno"> 442</span> loader_k.next();</div>
<div class="line"><a id="l00443" name="l00443"></a><span class="lineno"> 443</span> loader_v.next();</div>
<div class="line"><a id="l00444" name="l00444"></a><span class="lineno"> 444</span> }</div>
<div class="line"><a id="l00445" name="l00445"></a><span class="lineno"> 445</span> </div>
<div class="line"><a id="l00446" name="l00446"></a><span class="lineno"> 446</span> <span class="comment">// Normalize output</span></div>
<div class="line"><a id="l00447" name="l00447"></a><span class="lineno"> 447</span> Otile.template row_bin_op&lt;DivOp&gt;(sum_score);</div>
<div class="line"><a id="l00448" name="l00448"></a><span class="lineno"> 448</span> threadgroup_barrier(mem_flags::mem_none);</div>
<div class="line"><a id="l00449" name="l00449"></a><span class="lineno"> 449</span> </div>
<div class="line"><a id="l00450" name="l00450"></a><span class="lineno"> 450</span> <span class="comment">// Store results</span></div>
<div class="line"><a id="l00451" name="l00451"></a><span class="lineno"> 451</span> O += (tm + sm) * params-&gt;O_strides[2] + sn;</div>
<div class="line"><a id="l00452" name="l00452"></a><span class="lineno"> 452</span> </div>
<div class="line"><a id="l00453" name="l00453"></a><span class="lineno"> 453</span> <span class="keywordflow">if</span> (!<a class="code hl_variable" href="steel__attention_8h.html#a171fdea1b23976453f5dc5e6b3161982">align_Q</a> &amp;&amp; <span class="keywordtype">int</span>(tid.x) == (params-&gt;NQ_aligned)) {</div>
<div class="line"><a id="l00454" name="l00454"></a><span class="lineno"> 454</span> <span class="keyword">auto</span> dst_tile_dims = short2(BD - sn, params-&gt;qL_rem - (tm + sm));</div>
<div class="line"><a id="l00455" name="l00455"></a><span class="lineno"> 455</span> </div>
<div class="line"><a id="l00456" name="l00456"></a><span class="lineno"> 456</span> <span class="keywordflow">if</span> (dst_tile_dims.x &lt;= 0 || dst_tile_dims.y &lt;= 0)</div>
<div class="line"><a id="l00457" name="l00457"></a><span class="lineno"> 457</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00458" name="l00458"></a><span class="lineno"> 458</span> </div>
<div class="line"><a id="l00459" name="l00459"></a><span class="lineno"> 459</span> Otile.template store_safe&lt;T, 1, 1&gt;(O, params-&gt;O_strides[2], dst_tile_dims);</div>
<div class="line"><a id="l00460" name="l00460"></a><span class="lineno"> 460</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00461" name="l00461"></a><span class="lineno"> 461</span> Otile.template store&lt;T, 1, 1&gt;(O, params-&gt;O_strides[2]);</div>
<div class="line"><a id="l00462" name="l00462"></a><span class="lineno"> 462</span> }</div>
<div class="line"><a id="l00463" name="l00463"></a><span class="lineno"> 463</span>}</div>
</div>
<div class="ttc" id="anamespacemetal_html_a853c80479ab2264d9c4587c7bcac767b"><div class="ttname"><a href="namespacemetal.html#a853c80479ab2264d9c4587c7bcac767b">metal::max</a></div><div class="ttdeci">METAL_FUNC bfloat16_t max(bfloat16_t x, bfloat16_t y)</div><div class="ttdef"><b>Definition</b> bf16_math.h:232</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> attn.h:19</div></div>
<div class="ttc" id="anamespacemlx_1_1steel_html_ab9fdcb06fb1f639f9120ab14cfedd150"><div class="ttname"><a href="namespacemlx_1_1steel.html#ab9fdcb06fb1f639f9120ab14cfedd150">mlx::steel::tile_matmad</a></div><div class="ttdeci">METAL_FUNC void tile_matmad(thread MMATile&lt; Dtype, M, N, MMAFragD &gt; &amp;D, thread MMATile&lt; Atype, M, K, MMAFragA &gt; &amp;A, thread MMATile&lt; Btype, K, N, MMAFragB &gt; &amp;B, thread MMATile&lt; Ctype, M, N, MMAFragC &gt; &amp;C)</div><div class="ttdef"><b>Definition</b> mma.h:432</div></div>
<div class="ttc" id="anamespacemlx_1_1steel_html_afe36ddf6725498d273e5eef4f1579891"><div class="ttname"><a href="namespacemlx_1_1steel.html#afe36ddf6725498d273e5eef4f1579891">mlx::steel::Int</a></div><div class="ttdeci">integral_constant&lt; int, val &gt; Int</div><div class="ttdef"><b>Definition</b> integral_constant.h:48</div></div>
<div class="ttc" id="asdpa__vector_8h_html_a6ed0dd113fe7d471fc0b869b8c028c81"><div class="ttname"><a href="sdpa__vector_8h.html#a6ed0dd113fe7d471fc0b869b8c028c81">has_mask</a></div><div class="ttdeci">constant bool has_mask</div><div class="ttdef"><b>Definition</b> sdpa_vector.h:7</div></div>
<div class="ttc" id="asteel_2defines_8h_html_a5a5c3095b132a7589bc19cd5cb80e2c6"><div class="ttname"><a href="steel_2defines_8h.html#a5a5c3095b132a7589bc19cd5cb80e2c6">STEEL_PRAGMA_UNROLL</a></div><div class="ttdeci">#define STEEL_PRAGMA_UNROLL</div><div class="ttdef"><b>Definition</b> defines.h:4</div></div>
<div class="ttc" id="asteel__attention_8h_html_a171fdea1b23976453f5dc5e6b3161982"><div class="ttname"><a href="steel__attention_8h.html#a171fdea1b23976453f5dc5e6b3161982">align_Q</a></div><div class="ttdeci">constant bool align_Q</div><div class="ttdef"><b>Definition</b> steel_attention.h:9</div></div>
<div class="ttc" id="asteel__attention_8h_html_a835f90451dd42ce2d52352d5cce0722a"><div class="ttname"><a href="steel__attention_8h.html#a835f90451dd42ce2d52352d5cce0722a">attention</a></div><div class="ttdeci">void attention(const device T *Q, const device T *K, const device T *V, device T *O, const constant AttnParams *params, const constant AttnMaskParams *mask_params, const device MaskType *mask, uint simd_lane_id, uint simd_group_id, uint3 tid, uint3 lid)</div><div class="ttdef"><b>Definition</b> steel_attention.h:77</div></div>
<div class="ttc" id="asteel__attention_8h_html_a8bdd2cecf97aa5b033152b1d0f0d2416"><div class="ttname"><a href="steel__attention_8h.html#a8bdd2cecf97aa5b033152b1d0f0d2416">align_K</a></div><div class="ttdeci">constant bool align_K</div><div class="ttdef"><b>Definition</b> steel_attention.h:10</div></div>
<div class="ttc" id="asteel__attention_8h_html_abfa50278ba59a90e0acb7e5d94500741"><div class="ttname"><a href="steel__attention_8h.html#abfa50278ba59a90e0acb7e5d94500741">do_causal</a></div><div class="ttdeci">constant bool do_causal</div><div class="ttdef"><b>Definition</b> steel_attention.h:13</div></div>
<div class="ttc" id="astruct_div_op_html"><div class="ttname"><a href="struct_div_op.html">DivOp</a></div><div class="ttdef"><b>Definition</b> steel_attention.h:60</div></div>
<div class="ttc" id="astruct_div_op_html_a1b8df47142dc6ea15315ce3a310f9221"><div class="ttname"><a href="struct_div_op.html#a1b8df47142dc6ea15315ce3a310f9221">DivOp::apply</a></div><div class="ttdeci">static METAL_FUNC constexpr T apply(T x, T y)</div><div class="ttdef"><b>Definition</b> steel_attention.h:62</div></div>
<div class="ttc" id="astruct_exp_sub_op_html"><div class="ttname"><a href="struct_exp_sub_op.html">ExpSubOp</a></div><div class="ttdef"><b>Definition</b> steel_attention.h:53</div></div>
<div class="ttc" id="astruct_exp_sub_op_html_a00e457a01cb38f959dfd789455e7f334"><div class="ttname"><a href="struct_exp_sub_op.html#a00e457a01cb38f959dfd789455e7f334">ExpSubOp::apply</a></div><div class="ttdeci">static METAL_FUNC constexpr T apply(T x, T y)</div><div class="ttdef"><b>Definition</b> steel_attention.h:55</div></div>
<div class="ttc" id="astruct_limits_html_a6e81584ba65a4dc6ff9366b458e3a20e"><div class="ttname"><a href="struct_limits.html#a6e81584ba65a4dc6ff9366b458e3a20e">Limits::min</a></div><div class="ttdeci">static const constant U min</div><div class="ttdef"><b>Definition</b> utils.h:25</div></div>
<div class="ttc" id="astruct_max_op_html"><div class="ttname"><a href="struct_max_op.html">MaxOp</a></div><div class="ttdef"><b>Definition</b> steel_attention.h:25</div></div>
<div class="ttc" id="astruct_max_op_html_ab3d3c3040017a13c170e7bdd1ffac46e"><div class="ttname"><a href="struct_max_op.html#ab3d3c3040017a13c170e7bdd1ffac46e">MaxOp::apply</a></div><div class="ttdeci">static METAL_FUNC constexpr T apply(T x, T y)</div><div class="ttdef"><b>Definition</b> steel_attention.h:27</div></div>
<div class="ttc" id="astruct_mul_op_html"><div class="ttname"><a href="struct_mul_op.html">MulOp</a></div><div class="ttdef"><b>Definition</b> steel_attention.h:39</div></div>
<div class="ttc" id="astruct_mul_op_html_a1b93d804653d92fc7e46747de9e9c756"><div class="ttname"><a href="struct_mul_op.html#a1b93d804653d92fc7e46747de9e9c756">MulOp::apply</a></div><div class="ttdeci">static METAL_FUNC constexpr T apply(T x, T y)</div><div class="ttdef"><b>Definition</b> steel_attention.h:41</div></div>
<div class="ttc" id="astruct_sub_op_html"><div class="ttname"><a href="struct_sub_op.html">SubOp</a></div><div class="ttdef"><b>Definition</b> steel_attention.h:46</div></div>
<div class="ttc" id="astruct_sub_op_html_ad211f879a212ed0e98136217ca8e4143"><div class="ttname"><a href="struct_sub_op.html#ad211f879a212ed0e98136217ca8e4143">SubOp::apply</a></div><div class="ttdeci">static METAL_FUNC constexpr T apply(T x, T y)</div><div class="ttdef"><b>Definition</b> steel_attention.h:48</div></div>
<div class="ttc" id="astruct_sum_op_html"><div class="ttname"><a href="struct_sum_op.html">SumOp</a></div><div class="ttdef"><b>Definition</b> steel_attention.h:32</div></div>
<div class="ttc" id="astruct_sum_op_html_aa9563a98cbbe1b1921ade0c63ab38b4d"><div class="ttname"><a href="struct_sum_op.html#aa9563a98cbbe1b1921ade0c63ab38b4d">SumOp::apply</a></div><div class="ttdeci">static METAL_FUNC constexpr T apply(T x, T y)</div><div class="ttdef"><b>Definition</b> steel_attention.h:34</div></div>
<div class="ttc" id="astruct_transform_scale_html"><div class="ttname"><a href="struct_transform_scale.html">TransformScale</a></div><div class="ttdef"><b>Definition</b> steel_attention.h:16</div></div>
<div class="ttc" id="astruct_transform_scale_html_a9dd329422e5b8da43486cdce17132e16"><div class="ttname"><a href="struct_transform_scale.html#a9dd329422e5b8da43486cdce17132e16">TransformScale::apply</a></div><div class="ttdeci">METAL_FUNC T apply(T x) const</div><div class="ttdef"><b>Definition</b> steel_attention.h:20</div></div>
<div class="ttc" id="astruct_transform_scale_html_aa56b8e107acf16fdf77006625c2b8bc6"><div class="ttname"><a href="struct_transform_scale.html#aa56b8e107acf16fdf77006625c2b8bc6">TransformScale::scale</a></div><div class="ttdeci">T scale</div><div class="ttdef"><b>Definition</b> steel_attention.h:17</div></div>
<div class="ttc" id="astruct_transform_scale_html_ae109cf7c963ba13df96977e7563f7b70"><div class="ttname"><a href="struct_transform_scale.html#ae109cf7c963ba13df96977e7563f7b70">TransformScale::TransformScale</a></div><div class="ttdeci">METAL_FUNC TransformScale(T scale_)</div><div class="ttdef"><b>Definition</b> steel_attention.h:18</div></div>
<div class="ttc" id="astructmlx_1_1steel_1_1_attn_mask_params_html"><div class="ttname"><a href="structmlx_1_1steel_1_1_attn_mask_params.html">mlx::steel::AttnMaskParams</a></div><div class="ttdef"><b>Definition</b> params.h:39</div></div>
<div class="ttc" id="astructmlx_1_1steel_1_1_attn_params_html"><div class="ttname"><a href="structmlx_1_1steel_1_1_attn_params.html">mlx::steel::AttnParams</a></div><div class="ttdef"><b>Definition</b> params.h:12</div></div>
<div class="ttc" id="astructmlx_1_1steel_1_1_base_m_m_a_frag_html"><div class="ttname"><a href="structmlx_1_1steel_1_1_base_m_m_a_frag.html">mlx::steel::BaseMMAFrag</a></div><div class="ttdef"><b>Definition</b> mma.h:37</div></div>
<div class="ttc" id="astructmlx_1_1steel_1_1_block_loader_t_html"><div class="ttname"><a href="structmlx_1_1steel_1_1_block_loader_t.html">mlx::steel::BlockLoaderT</a></div><div class="ttdef"><b>Definition</b> loader.h:153</div></div>
<div class="ttc" id="astructmlx_1_1steel_1_1_m_m_a_tile_html"><div class="ttname"><a href="structmlx_1_1steel_1_1_m_m_a_tile.html">mlx::steel::MMATile</a></div><div class="ttdef"><b>Definition</b> mma.h:231</div></div>
<div class="ttc" id="astructmlx_1_1steel_1_1_m_m_a_tile_html_a1a6b1446e8c8da46885bbaa8e8fdc7e4"><div class="ttname"><a href="structmlx_1_1steel_1_1_m_m_a_tile.html#a1a6b1446e8c8da46885bbaa8e8fdc7e4">mlx::steel::MMATile::frag_at</a></div><div class="ttdeci">METAL_FUNC constexpr thread frag_type &amp; frag_at(const short i, const short j)</div><div class="ttdef"><b>Definition</b> mma.h:264</div></div>
<div class="ttc" id="astructmlx_1_1steel_1_1_m_m_a_tile_html_aa97a98e423827a889c13a92217626ec7"><div class="ttname"><a href="structmlx_1_1steel_1_1_m_m_a_tile.html#aa97a98e423827a889c13a92217626ec7">mlx::steel::MMATile::clear</a></div><div class="ttdeci">METAL_FUNC constexpr void clear()</div><div class="ttdef"><b>Definition</b> mma.h:257</div></div>
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