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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 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"> 12</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00013" data-start="{" data-end="};">
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"><a class="line" href="struct_transform_scale.html"> 13</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="l00014" name="l00014"></a><span class="lineno"><a class="line" href="struct_transform_scale.html#aa56b8e107acf16fdf77006625c2b8bc6"> 14</a></span> T <a class="code hl_variable" href="struct_transform_scale.html#aa56b8e107acf16fdf77006625c2b8bc6">scale</a>;</div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"><a class="line" href="struct_transform_scale.html#ae109cf7c963ba13df96977e7563f7b70"> 15</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="l00016" name="l00016"></a><span class="lineno"> 16</span> </div>
<div class="foldopen" id="foldopen00017" data-start="{" data-end="}">
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"><a class="line" href="struct_transform_scale.html#a9dd329422e5b8da43486cdce17132e16"> 17</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="l00018" name="l00018"></a><span class="lineno"> 18</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="l00019" name="l00019"></a><span class="lineno"> 19</span> }</div>
</div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span>};</div>
</div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> </div>
<div class="foldopen" id="foldopen00022" data-start="{" data-end="};">
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"><a class="line" href="struct_max_op.html"> 22</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="l00023" name="l00023"></a><span class="lineno"> 23</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00024" data-start="{" data-end="}">
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"><a class="line" href="struct_max_op.html#ab3d3c3040017a13c170e7bdd1ffac46e"> 24</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="l00025" name="l00025"></a><span class="lineno"> 25</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="l00026" name="l00026"></a><span class="lineno"> 26</span> }</div>
</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span>};</div>
</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> </div>
<div class="foldopen" id="foldopen00029" data-start="{" data-end="};">
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"><a class="line" href="struct_sum_op.html"> 29</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="l00030" name="l00030"></a><span class="lineno"> 30</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00031" data-start="{" data-end="}">
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"><a class="line" href="struct_sum_op.html#aa9563a98cbbe1b1921ade0c63ab38b4d"> 31</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="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="keywordflow">return</span> x + y;</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> }</div>
</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span>};</div>
</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> </div>
<div class="foldopen" id="foldopen00036" data-start="{" data-end="};">
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"><a class="line" href="struct_mul_op.html"> 36</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="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00038" data-start="{" data-end="}">
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"><a class="line" href="struct_mul_op.html#a1b93d804653d92fc7e46747de9e9c756"> 38</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="l00039" name="l00039"></a><span class="lineno"> 39</span> <span class="keywordflow">return</span> x * y;</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> }</div>
</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span>};</div>
</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> </div>
<div class="foldopen" id="foldopen00043" data-start="{" data-end="};">
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"><a class="line" href="struct_sub_op.html"> 43</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="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00045" data-start="{" data-end="}">
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"><a class="line" href="struct_sub_op.html#ad211f879a212ed0e98136217ca8e4143"> 45</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="l00046" name="l00046"></a><span class="lineno"> 46</span> <span class="keywordflow">return</span> x - y;</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> }</div>
</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span>};</div>
</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> </div>
<div class="foldopen" id="foldopen00050" data-start="{" data-end="};">
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"><a class="line" href="struct_exp_sub_op.html"> 50</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="l00051" name="l00051"></a><span class="lineno"> 51</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00052" data-start="{" data-end="}">
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"><a class="line" href="struct_exp_sub_op.html#a00e457a01cb38f959dfd789455e7f334"> 52</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="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="keywordflow">return</span> fast::exp(x - y);</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> }</div>
</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span>};</div>
</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> </div>
<div class="foldopen" id="foldopen00057" data-start="{" data-end="};">
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"><a class="line" href="struct_div_op.html"> 57</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="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00059" data-start="{" data-end="}">
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"><a class="line" href="struct_div_op.html#a1b8df47142dc6ea15315ce3a310f9221"> 59</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="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="keywordflow">return</span> x / y;</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> }</div>
</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span>};</div>
</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> </div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span><span class="comment">// clang-format off</span></div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span><span class="keyword">template</span> &lt;</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keyword">typename</span> T,</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="keywordtype">int</span> BQ,</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="keywordtype">int</span> BK,</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="keywordtype">int</span> BD,</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="keywordtype">int</span> WM,</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="keywordtype">int</span> WN,</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="keyword">typename</span> AccumType = <span class="keywordtype">float</span>&gt;</div>
<div class="foldopen" id="foldopen00073" data-start="{" data-end="}">
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"><a class="line" href="steel__attention_8h.html#a5423b2a414f5e3c14166d568dedfbd33"> 73</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#a5423b2a414f5e3c14166d568dedfbd33">attention</a>(</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="keyword">const</span> device T* Q [[buffer(0)]],</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="keyword">const</span> device T* K [[buffer(1)]],</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="keyword">const</span> device T* V [[buffer(2)]],</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> device T* O [[buffer(3)]],</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</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="l00079" name="l00079"></a><span class="lineno"> 79</span> uint simd_lane_id [[thread_index_in_simdgroup]],</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> uint simd_group_id [[simdgroup_index_in_threadgroup]],</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> uint3 tid [[threadgroup_position_in_grid]],</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> uint3 lid [[thread_position_in_threadgroup]]) { <span class="comment">// clang-format on</span></div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> </div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="comment">// Pacifying compiler</span></div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> (void)lid;</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> </div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="comment">// Move to correct block</span></div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> ulong3 tidl{tid.x, tid.y, tid.z};</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> Q += tidl.z * params-&gt;Q_strides[0] + <span class="comment">// Batch</span></div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> tidl.y * params-&gt;Q_strides[1] + <span class="comment">// Head</span></div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> tidl.x * BQ * params-&gt;Q_strides[2]; <span class="comment">// Seqeunce</span></div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> </div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> ulong kv_head_idx = int(tid.y) / params-&gt;gqa_factor;</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> K += tidl.z * params-&gt;K_strides[0] + <span class="comment">// Batch</span></div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> kv_head_idx * params-&gt;K_strides[1]; <span class="comment">// Head</span></div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> </div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> V += tidl.z * params-&gt;V_strides[0] + <span class="comment">// Batch</span></div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> kv_head_idx * params-&gt;V_strides[1]; <span class="comment">// Head</span></div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> </div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> O += tidl.z * params-&gt;O_strides[0] + <span class="comment">// Batch</span></div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> tidl.y * params-&gt;O_strides[1] + <span class="comment">// Head</span></div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> tidl.x * BQ * params-&gt;O_strides[2]; <span class="comment">// Seqeunce</span></div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> </div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="comment">// Prepare threadgroup memory</span></div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> padQ = 0; <span class="comment">// 16 / sizeof(T);</span></div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> padK = 0; <span class="comment">// 16 / sizeof(T);</span></div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> padV = 0; <span class="comment">// 16 / sizeof(T);</span></div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> </div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> LDQ_tgp = BD + padQ;</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> LDK_tgp = BK + padK;</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> LDV_tgp = BD + padV;</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> </div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> threadgroup T Qs[BQ * (BD + padQ)];</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> threadgroup T Ks[(BK + padK) * BD];</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> threadgroup T Vs[BK * (BD + padV)];</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> <span class="comment">// Prepare block loaders</span></div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</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="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="comment">/* typename T = */</span> T,</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="comment">/* short BROWS = */</span> BQ,</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="comment">/* short BCOLS = */</span> BD,</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <span class="comment">/* short kDstStrRow = */</span> LDQ_tgp,</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="comment">/* short kDstStrCol = */</span> 1,</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="comment">/* short reduction_dim = */</span> 1,</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="comment">/* short tgp_size = */</span> WM * WN * 32&gt;;</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> </div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <span class="comment">// K is loaded in transposed</span></div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</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="l00130" name="l00130"></a><span class="lineno"> 130</span> <span class="comment">/* typename T = */</span> T,</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> <span class="comment">/* short BROWS = */</span> BK,</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> <span class="comment">/* short BCOLS = */</span> BD,</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <span class="comment">/* short kDstStrRow = */</span> 1,</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <span class="comment">/* short kDstStrCol = */</span> LDK_tgp,</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <span class="comment">/* short reduction_dim = */</span> 0,</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="comment">/* short tgp_size = */</span> WM * WN * 32&gt;;</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> </div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <span class="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="l00139" name="l00139"></a><span class="lineno"> 139</span> <span class="comment">/* typename T = */</span> T,</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="comment">/* short BROWS = */</span> BK,</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <span class="comment">/* short BCOLS = */</span> BD,</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="comment">/* short kDstStrRow = */</span> LDV_tgp,</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="comment">/* short kDstStrCol = */</span> 1,</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <span class="comment">/* short reduction_dim = */</span> 0,</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> <span class="comment">/* short tgp_size = */</span> WM * WN * 32&gt;;</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> </div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> QBlockLoader loader_q(</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> Q, params-&gt;Q_strides[2], Qs, simd_group_id, simd_lane_id);</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> KBlockLoader loader_k(</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> K, params-&gt;K_strides[2], Ks, simd_group_id, simd_lane_id);</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> VBlockLoader loader_v(</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> V, params-&gt;V_strides[2], Vs, simd_group_id, simd_lane_id);</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> </div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</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));</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="comment">// Prepare MMA tiles</span></div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</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="l00158" name="l00158"></a><span class="lineno"> 158</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="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="keyword">constexpr</span> <span class="keywordtype">int</span> kNWarps = WM * WN;</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> <span class="keyword">static_assert</span>(</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> BQ &gt;= (kNWarps * kFragSize) &amp;&amp; BQ % (kNWarps * kFragSize) == 0,</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> <span class="stringliteral">&quot;Each simdgroup must host atleast 1 simdgroup matrix along Q sequence.&quot;</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> <span class="comment">// Q seq frags per warp</span></div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> <span class="keyword">constexpr</span> <span class="keywordtype">int</span> TQ = BQ / (kNWarps * kFragSize);</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <span class="comment">// KV sequence frags (all warps load the same frags)</span></div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> <span class="keyword">constexpr</span> <span class="keywordtype">int</span> TK = BK / kFragSize;</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> <span class="comment">// HeadDim frags (all warps load the same frags)</span></div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> <span class="keyword">constexpr</span> <span class="keywordtype">int</span> TD = BD / kFragSize;</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> <span class="keyword">static_assert</span>(TQ == 1, <span class="stringliteral">&quot;Check TQ&quot;</span>);</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> <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="l00175" name="l00175"></a><span class="lineno"> 175</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="l00176" name="l00176"></a><span class="lineno"> 176</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="l00177" name="l00177"></a><span class="lineno"> 177</span> <a class="code hl_struct" href="structmlx_1_1steel_1_1_m_m_a_tile.html">MMATile&lt;AccumType, TK, TD, MMAFrag_acc_t&gt;</a> Vtile;</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</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="l00179" name="l00179"></a><span class="lineno"> 179</span> </div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</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="l00181" name="l00181"></a><span class="lineno"> 181</span> </div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> <span class="comment">// Prepare mma tile offsets</span></div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> <span class="keyword">const</span> short2 simd_coord = MMAFrag_acc_t::get_coord(simd_lane_id);</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <span class="keyword">const</span> <span class="keywordtype">short</span> sm = simd_coord.y;</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> <span class="keyword">const</span> <span class="keywordtype">short</span> sn = simd_coord.x;</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> <span class="keyword">const</span> <span class="keywordtype">short</span> tm = kFragSize * TQ * simd_group_id;</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="keyword">const</span> <span class="keywordtype">short</span> Qs_offset = (tm + sm) * LDQ_tgp + sn;</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> <span class="keyword">const</span> <span class="keywordtype">short</span> Ks_offset = sm * LDK_tgp + sn;</div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> <span class="keyword">const</span> <span class="keywordtype">short</span> Vs_offset = sm * LDV_tgp + sn;</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> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> Qs_tile_stride = kFragSize;</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <span class="keyword">constexpr</span> <span class="keywordtype">short</span> Ks_tile_stride = kFragSize * LDK_tgp;</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> threadgroup_barrier(mem_flags::mem_threadgroup);</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> </div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> <span class="comment">// Load Q blocks apply scale</span></div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</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="l00199" name="l00199"></a><span class="lineno"> 199</span> loader_q.load_safe(short2(BD, params-&gt;qL - params-&gt;NQ_aligned * BQ));</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> loader_q.load_unsafe();</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> }</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> loader_q.apply_inplace_op(ts);</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> </div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="comment">// Init row reduction variables</span></div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</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="l00207" name="l00207"></a><span class="lineno"> 207</span> </div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> AccumType max_score[kRowsPT];</div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> AccumType sum_score[kRowsPT] = {0};</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">// Init to -Inf</span></div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> <a class="code hl_define" href="steel_2defines_8h.html#a5a5c3095b132a7589bc19cd5cb80e2c6">STEEL_PRAGMA_UNROLL</a></div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> i = 0; i &lt; kRowsPT; ++i) {</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</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="l00215" name="l00215"></a><span class="lineno"> 215</span> }</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> </div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> <span class="comment">// Loop over KV seq length</span></div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> kb = 0; kb &lt; params-&gt;NK; kb++) {</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> <span class="comment">// Load K block and apply scale</span></div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> threadgroup_barrier(mem_flags::mem_threadgroup);</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</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="l00222" name="l00222"></a><span class="lineno"> 222</span> loader_k.load_safe(short2(BD, params-&gt;kL - params-&gt;NK_aligned * BK));</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> loader_k.load_unsafe();</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> </div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> threadgroup_barrier(mem_flags::mem_threadgroup);</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">// Do S = Q @ K.T</span></div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</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="l00231" name="l00231"></a><span class="lineno"> 231</span> </div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> dd = 0; dd &lt; TD; dd++) {</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> simdgroup_barrier(mem_flags::mem_none);</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> Qtile.template load&lt;T, 1, 1, LDQ_tgp, 1&gt;(</div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> &amp;Qs[Qs_offset + dd * Qs_tile_stride]);</div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> Ktile.template load&lt;T, 1, 1, LDK_tgp, 1&gt;(</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> &amp;Ks[Ks_offset + dd * Ks_tile_stride]);</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> </div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> simdgroup_barrier(mem_flags::mem_none);</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> <a class="code hl_function" href="namespacemlx_1_1steel.html#ad583e6038efc119542410f43b603d4ad">tile_matmad</a>(Stile, Qtile, Ktile, Stile);</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> }</div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> </div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> <span class="comment">// Mask out of length sequence</span></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> <span class="keyword">using </span>stile_t = <span class="keyword">decltype</span>(Stile);</div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> <span class="keyword">using </span>selem_t = <span class="keyword">typename</span> stile_t::elem_type;</div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</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="l00250" name="l00250"></a><span class="lineno"> 250</span> <span class="keyword">const</span> <span class="keywordtype">short</span> lim = params-&gt;kL - params-&gt;NK_aligned * BK;</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> <a class="code hl_define" href="steel_2defines_8h.html#a5a5c3095b132a7589bc19cd5cb80e2c6">STEEL_PRAGMA_UNROLL</a></div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</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="l00254" name="l00254"></a><span class="lineno"> 254</span> <a class="code hl_define" href="steel_2defines_8h.html#a5a5c3095b132a7589bc19cd5cb80e2c6">STEEL_PRAGMA_UNROLL</a></div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</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="l00256" name="l00256"></a><span class="lineno"> 256</span> <span class="keywordtype">short</span> col_pos = sn + (j * stile_t::kFragCols);</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> jj = 0; jj &lt; stile_t::MMAFrag_t::kElemCols; jj++) {</div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> <span class="keywordflow">if</span> ((col_pos + jj) &gt;= lim) {</div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</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="l00261" name="l00261"></a><span class="lineno"> 261</span> }</div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> }</div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> }</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> }</div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> }</div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> </div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> simdgroup_barrier(mem_flags::mem_none);</div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> </div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> <span class="comment">// Load V blocks</span></div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</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="l00271" name="l00271"></a><span class="lineno"> 271</span> loader_v.load_safe(short2(BD, params-&gt;kL - params-&gt;NK_aligned * BK));</div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> loader_v.load_unsafe();</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="l00276" name="l00276"></a><span class="lineno"> 276</span> <span class="comment">// Do softmax</span></div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> </div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> <span class="comment">// Temp variables</span></div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> AccumType new_max[kRowsPT];</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> AccumType factor[kRowsPT];</div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> <a class="code hl_define" href="steel_2defines_8h.html#a5a5c3095b132a7589bc19cd5cb80e2c6">STEEL_PRAGMA_UNROLL</a></div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> i = 0; i &lt; kRowsPT; ++i) {</div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> new_max[i] = max_score[i];</div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> }</div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> </div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> <span class="comment">// Row max</span></div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> Stile.template row_reduce&lt;MaxOp&gt;(new_max);</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> <span class="comment">// exp(Si - rowmax(Si))</span></div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> Stile.template row_bin_op&lt;ExpSubOp&gt;(new_max);</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">// Factor exp(rowmax(Si) - rowmax(Si-1))</span></div>
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> <a class="code hl_define" href="steel_2defines_8h.html#a5a5c3095b132a7589bc19cd5cb80e2c6">STEEL_PRAGMA_UNROLL</a></div>
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> i = 0; i &lt; kRowsPT; ++i) {</div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> factor[i] = fast::exp(max_score[i] - new_max[i]);</div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> }</div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> </div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> <span class="comment">// Save max for next iteration</span></div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> <a class="code hl_define" href="steel_2defines_8h.html#a5a5c3095b132a7589bc19cd5cb80e2c6">STEEL_PRAGMA_UNROLL</a></div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> i = 0; i &lt; kRowsPT; ++i) {</div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> max_score[i] = new_max[i];</div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> }</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> <span class="comment">// Row Sum</span></div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> AccumType sum_score_tmp[kRowsPT] = {0};</div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> Stile.template row_reduce&lt;SumOp&gt;(sum_score_tmp);</div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> </div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> <span class="comment">// Update norm</span></div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> <a class="code hl_define" href="steel_2defines_8h.html#a5a5c3095b132a7589bc19cd5cb80e2c6">STEEL_PRAGMA_UNROLL</a></div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> i = 0; i &lt; kRowsPT; ++i) {</div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> sum_score[i] = sum_score[i] * factor[i] + sum_score_tmp[i];</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> <span class="comment">// Update O</span></div>
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> Otile.template row_bin_op&lt;MulOp&gt;(factor);</div>
<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> </div>
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> <span class="comment">// Load V into registers</span></div>
<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> threadgroup_barrier(mem_flags::mem_threadgroup);</div>
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> Vtile.template load&lt;T, 1, 1, LDV_tgp, 1&gt;(&amp;Vs[Vs_offset]);</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> simdgroup_barrier(mem_flags::mem_none);</div>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> </div>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> <span class="comment">// Do O = S @ V</span></div>
<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> <a class="code hl_function" href="namespacemlx_1_1steel.html#ad583e6038efc119542410f43b603d4ad">tile_matmad</a>(Otile, Stile, Vtile, Otile);</div>
<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span> </div>
<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</span> <span class="comment">// Prepare for next iteration</span></div>
<div class="line"><a id="l00327" name="l00327"></a><span class="lineno"> 327</span> loader_k.next();</div>
<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span> loader_v.next();</div>
<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> }</div>
<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span> </div>
<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span> <span class="comment">// Normalize output</span></div>
<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</span> Otile.template row_bin_op&lt;DivOp&gt;(sum_score);</div>
<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span> threadgroup_barrier(mem_flags::mem_none);</div>
<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span> </div>
<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"> 335</span> <span class="comment">// Store results</span></div>
<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span> O += (tm + sm) * params-&gt;O_strides[2] + sn;</div>
<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span> </div>
<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</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="l00339" name="l00339"></a><span class="lineno"> 339</span> <span class="keyword">auto</span> dst_tile_dims =</div>
<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"> 340</span> short2(BD - sn, params-&gt;qL - BQ * params-&gt;NQ_aligned - (tm + sm));</div>
<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span> </div>
<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span> <span class="keywordflow">if</span> (dst_tile_dims.x &lt;= 0 || dst_tile_dims.y &lt;= 0)</div>
<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span> </div>
<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"> 345</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="l00346" name="l00346"></a><span class="lineno"> 346</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00347" name="l00347"></a><span class="lineno"> 347</span> Otile.template store&lt;T, 1, 1&gt;(O, params-&gt;O_strides[2]);</div>
<div class="line"><a id="l00348" name="l00348"></a><span class="lineno"> 348</span> }</div>
<div class="line"><a id="l00349" name="l00349"></a><span class="lineno"> 349</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_ad583e6038efc119542410f43b603d4ad"><div class="ttname"><a href="namespacemlx_1_1steel.html#ad583e6038efc119542410f43b603d4ad">mlx::steel::tile_matmad</a></div><div class="ttdeci">METAL_FUNC void tile_matmad(thread MMATile&lt; T, M, N &gt; &amp;D, thread MMATile&lt; U, M, K &gt; &amp;A, thread MMATile&lt; U, K, N &gt; &amp;B, thread MMATile&lt; T, M, N &gt; &amp;C)</div><div class="ttdef"><b>Definition</b> mma.h:413</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_a5423b2a414f5e3c14166d568dedfbd33"><div class="ttname"><a href="steel__attention_8h.html#a5423b2a414f5e3c14166d568dedfbd33">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, uint simd_lane_id, uint simd_group_id, uint3 tid, uint3 lid)</div><div class="ttdef"><b>Definition</b> steel_attention.h:73</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="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:57</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:59</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:50</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:52</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:22</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:24</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:36</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:38</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:43</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:45</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:29</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:31</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:13</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:17</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:14</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:15</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:223</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:256</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:249</div></div>
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