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								  <div class="headertitle"><div class="title">steel_gemm.h</div></div>
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								<a href="steel__gemm_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>
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								<div class="line"><a id="l00002" name="l00002"></a><span class="lineno">    2</span> </div>
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								<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"><a class="line" href="steel__gemm_8h.html#a4c6009fd5357b730805f2fd4ba6e093e">    3</a></span><span class="keyword">constexpr</span> std::string_view <a class="code hl_variable" href="steel__gemm_8h.html#a4c6009fd5357b730805f2fd4ba6e093e">steel_gemm_fused_kernels</a> = R<span class="stringliteral">"(</span></div>
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								<div class="line"><a id="l00004" name="l00004"></a><span class="lineno">    4</span><span class="stringliteral">template [[host_name("{name}")]]</span></div>
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								<div class="line"><a id="l00005" name="l00005"></a><span class="lineno">    5</span><span class="stringliteral">[[kernel]] void gemm<{itype}, {bm}, {bn}, {bk}, {wm}, {wn}, {trans_a}, {trans_b}, float>(</span></div>
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								<div class="line"><a id="l00006" name="l00006"></a><span class="lineno">    6</span><span class="stringliteral">    const device {itype} *A [[buffer(0)]],</span></div>
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								<div class="line"><a id="l00007" name="l00007"></a><span class="lineno">    7</span><span class="stringliteral">    const device {itype} *B [[buffer(1)]],</span></div>
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								<div class="line"><a id="l00008" name="l00008"></a><span class="lineno">    8</span><span class="stringliteral">    const device {itype} *C [[buffer(2), function_constant(use_out_source)]],</span></div>
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								<div class="line"><a id="l00009" name="l00009"></a><span class="lineno">    9</span><span class="stringliteral">    device {itype} *D [[buffer(3)]],</span></div>
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								<div class="line"><a id="l00010" name="l00010"></a><span class="lineno">   10</span><span class="stringliteral">    const constant GEMMParams* params [[buffer(4)]],</span></div>
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								<div class="line"><a id="l00011" name="l00011"></a><span class="lineno">   11</span><span class="stringliteral">    const constant GEMMAddMMParams* addmm_params [[buffer(5), function_constant(use_out_source)]],</span></div>
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								<div class="line"><a id="l00012" name="l00012"></a><span class="lineno">   12</span><span class="stringliteral">    const constant int* batch_shape [[buffer(6)]],</span></div>
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								<div class="line"><a id="l00013" name="l00013"></a><span class="lineno">   13</span><span class="stringliteral">    const constant size_t* batch_strides [[buffer(7)]],</span></div>
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								<div class="line"><a id="l00014" name="l00014"></a><span class="lineno">   14</span><span class="stringliteral">    const constant uint32_t* lhs_indices [[buffer(10), function_constant(do_gather)]],</span></div>
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								<div class="line"><a id="l00015" name="l00015"></a><span class="lineno">   15</span><span class="stringliteral">    const constant uint32_t* rhs_indices [[buffer(11), function_constant(do_gather)]],</span></div>
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								<div class="line"><a id="l00016" name="l00016"></a><span class="lineno">   16</span><span class="stringliteral">    const constant uint32_t* C_indices [[buffer(12), function_constant(gather_bias)]],</span></div>
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								<div class="line"><a id="l00017" name="l00017"></a><span class="lineno">   17</span><span class="stringliteral">    const constant int* operand_shape [[buffer(13), function_constant(do_gather)]],</span></div>
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								<div class="line"><a id="l00018" name="l00018"></a><span class="lineno">   18</span><span class="stringliteral">    const constant size_t* operand_strides [[buffer(14), function_constant(do_gather)]],</span></div>
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								<div class="line"><a id="l00019" name="l00019"></a><span class="lineno">   19</span><span class="stringliteral">    const constant packed_int3& operand_batch_ndim [[buffer(15), function_constant(do_gather)]],</span></div>
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								<div class="line"><a id="l00020" name="l00020"></a><span class="lineno">   20</span><span class="stringliteral">    uint simd_lane_id [[thread_index_in_simdgroup]],</span></div>
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								<div class="line"><a id="l00021" name="l00021"></a><span class="lineno">   21</span><span class="stringliteral">    uint simd_group_id [[simdgroup_index_in_threadgroup]],</span></div>
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								<div class="line"><a id="l00022" name="l00022"></a><span class="lineno">   22</span><span class="stringliteral">    uint3 tid [[threadgroup_position_in_grid]],</span></div>
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								<div class="line"><a id="l00023" name="l00023"></a><span class="lineno">   23</span><span class="stringliteral">    uint3 lid [[thread_position_in_threadgroup]]);</span></div>
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								<div class="line"><a id="l00024" name="l00024"></a><span class="lineno">   24</span><span class="stringliteral">)";</span></div>
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								<div class="line"><a id="l00025" name="l00025"></a><span class="lineno">   25</span><span class="stringliteral"></span> </div>
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								<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"><a class="line" href="steel__gemm_8h.html#a62a358fd3ec5365081920d07aceb581c">   26</a></span><span class="stringliteral"></span><span class="keyword">constexpr</span> std::string_view <a class="code hl_variable" href="steel__gemm_8h.html#a62a358fd3ec5365081920d07aceb581c">steel_gemm_masked_kernels</a> = R<span class="stringliteral">"(</span></div>
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								<div class="line"><a id="l00027" name="l00027"></a><span class="lineno">   27</span><span class="stringliteral">template [[host_name("{name}")]] [[kernel]] void</span></div>
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								<div class="line"><a id="l00028" name="l00028"></a><span class="lineno">   28</span><span class="stringliteral">block_masked_gemm<</span></div>
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								<div class="line"><a id="l00029" name="l00029"></a><span class="lineno">   29</span><span class="stringliteral">    {itype},</span></div>
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								<div class="line"><a id="l00030" name="l00030"></a><span class="lineno">   30</span><span class="stringliteral">    {outmasktype},</span></div>
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								<div class="line"><a id="l00031" name="l00031"></a><span class="lineno">   31</span><span class="stringliteral">    {opmasktype},</span></div>
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								<div class="line"><a id="l00032" name="l00032"></a><span class="lineno">   32</span><span class="stringliteral">    {bm},</span></div>
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								<div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span><span class="stringliteral">    {bn},</span></div>
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								<div class="line"><a id="l00034" name="l00034"></a><span class="lineno">   34</span><span class="stringliteral">    {bk},</span></div>
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								<div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span><span class="stringliteral">    {wm},</span></div>
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								<div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span><span class="stringliteral">    {wn},</span></div>
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								<div class="line"><a id="l00037" name="l00037"></a><span class="lineno">   37</span><span class="stringliteral">    {trans_a},</span></div>
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								<div class="line"><a id="l00038" name="l00038"></a><span class="lineno">   38</span><span class="stringliteral">    {trans_b},</span></div>
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								<div class="line"><a id="l00039" name="l00039"></a><span class="lineno">   39</span><span class="stringliteral">    {mn_aligned},</span></div>
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								<div class="line"><a id="l00040" name="l00040"></a><span class="lineno">   40</span><span class="stringliteral">    {k_aligned}>(</span></div>
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								<div class="line"><a id="l00041" name="l00041"></a><span class="lineno">   41</span><span class="stringliteral">    const device {itype}* A [[buffer(0)]],</span></div>
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								<div class="line"><a id="l00042" name="l00042"></a><span class="lineno">   42</span><span class="stringliteral">    const device {itype}* B [[buffer(1)]],</span></div>
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								<div class="line"><a id="l00043" name="l00043"></a><span class="lineno">   43</span><span class="stringliteral">    device {itype}* D [[buffer(3)]],</span></div>
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								<div class="line"><a id="l00044" name="l00044"></a><span class="lineno">   44</span><span class="stringliteral">    const constant GEMMParams* params [[buffer(4)]],</span></div>
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								<div class="line"><a id="l00045" name="l00045"></a><span class="lineno">   45</span><span class="stringliteral">    const constant int* batch_shape [[buffer(6)]],</span></div>
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								<div class="line"><a id="l00046" name="l00046"></a><span class="lineno">   46</span><span class="stringliteral">    const constant size_t* batch_strides [[buffer(7)]],</span></div>
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								<div class="line"><a id="l00047" name="l00047"></a><span class="lineno">   47</span><span class="stringliteral">    const device {outmasktype}* out_mask [[buffer(10)]],</span></div>
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								<div class="line"><a id="l00048" name="l00048"></a><span class="lineno">   48</span><span class="stringliteral">    const device {opmasktype}* lhs_mask [[buffer(11)]],</span></div>
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								<div class="line"><a id="l00049" name="l00049"></a><span class="lineno">   49</span><span class="stringliteral">    const device {opmasktype}* rhs_mask [[buffer(12)]],</span></div>
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								<div class="line"><a id="l00050" name="l00050"></a><span class="lineno">   50</span><span class="stringliteral">    const constant int* mask_strides [[buffer(13)]],</span></div>
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								<div class="line"><a id="l00051" name="l00051"></a><span class="lineno">   51</span><span class="stringliteral">    uint simd_lane_id [[thread_index_in_simdgroup]],</span></div>
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								<div class="line"><a id="l00052" name="l00052"></a><span class="lineno">   52</span><span class="stringliteral">    uint simd_group_id [[simdgroup_index_in_threadgroup]],</span></div>
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								<div class="line"><a id="l00053" name="l00053"></a><span class="lineno">   53</span><span class="stringliteral">    uint3 tid [[threadgroup_position_in_grid]],</span></div>
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								<div class="line"><a id="l00054" name="l00054"></a><span class="lineno">   54</span><span class="stringliteral">    uint3 lid [[thread_position_in_threadgroup]]);</span></div>
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								<div class="line"><a id="l00055" name="l00055"></a><span class="lineno">   55</span><span class="stringliteral">)";</span></div>
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								<div class="line"><a id="l00056" name="l00056"></a><span class="lineno">   56</span><span class="stringliteral"></span> </div>
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								<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"><a class="line" href="steel__gemm_8h.html#a92108ab01d826e38bca83d8569b947d9">   57</a></span><span class="stringliteral"></span><span class="keyword">constexpr</span> std::string_view <a class="code hl_variable" href="steel__gemm_8h.html#a92108ab01d826e38bca83d8569b947d9">steel_gemm_splitk_kernels</a> = R<span class="stringliteral">"(</span></div>
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								<div class="line"><a id="l00058" name="l00058"></a><span class="lineno">   58</span><span class="stringliteral">template [[host_name("{name}")]] [[kernel]] void</span></div>
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								<div class="line"><a id="l00059" name="l00059"></a><span class="lineno">   59</span><span class="stringliteral">gemm_splitk<</span></div>
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								<div class="line"><a id="l00060" name="l00060"></a><span class="lineno">   60</span><span class="stringliteral">    {itype},</span></div>
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								<div class="line"><a id="l00061" name="l00061"></a><span class="lineno">   61</span><span class="stringliteral">    {otype},</span></div>
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								<div class="line"><a id="l00062" name="l00062"></a><span class="lineno">   62</span><span class="stringliteral">    {bm},</span></div>
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								<div class="line"><a id="l00063" name="l00063"></a><span class="lineno">   63</span><span class="stringliteral">    {bn},</span></div>
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								<div class="line"><a id="l00064" name="l00064"></a><span class="lineno">   64</span><span class="stringliteral">    {bk},</span></div>
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								<div class="line"><a id="l00065" name="l00065"></a><span class="lineno">   65</span><span class="stringliteral">    {wm},</span></div>
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								<div class="line"><a id="l00066" name="l00066"></a><span class="lineno">   66</span><span class="stringliteral">    {wn},</span></div>
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								<div class="line"><a id="l00067" name="l00067"></a><span class="lineno">   67</span><span class="stringliteral">    {trans_a},</span></div>
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								<div class="line"><a id="l00068" name="l00068"></a><span class="lineno">   68</span><span class="stringliteral">    {trans_b},</span></div>
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								<div class="line"><a id="l00069" name="l00069"></a><span class="lineno">   69</span><span class="stringliteral">    {mn_aligned},</span></div>
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								<div class="line"><a id="l00070" name="l00070"></a><span class="lineno">   70</span><span class="stringliteral">    {k_aligned}>(</span></div>
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								<div class="line"><a id="l00071" name="l00071"></a><span class="lineno">   71</span><span class="stringliteral">    const device {itype}* A [[buffer(0)]],</span></div>
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								<div class="line"><a id="l00072" name="l00072"></a><span class="lineno">   72</span><span class="stringliteral">    const device {itype}* B [[buffer(1)]],</span></div>
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								<div class="line"><a id="l00073" name="l00073"></a><span class="lineno">   73</span><span class="stringliteral">    device {otype}* C [[buffer(2)]],</span></div>
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								<div class="line"><a id="l00074" name="l00074"></a><span class="lineno">   74</span><span class="stringliteral">    const constant GEMMSpiltKParams* params [[buffer(3)]],</span></div>
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								<div class="line"><a id="l00075" name="l00075"></a><span class="lineno">   75</span><span class="stringliteral">    uint simd_lane_id [[thread_index_in_simdgroup]],</span></div>
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								<div class="line"><a id="l00076" name="l00076"></a><span class="lineno">   76</span><span class="stringliteral">    uint simd_group_id [[simdgroup_index_in_threadgroup]],</span></div>
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								<div class="line"><a id="l00077" name="l00077"></a><span class="lineno">   77</span><span class="stringliteral">    uint3 tid [[threadgroup_position_in_grid]],</span></div>
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								<div class="line"><a id="l00078" name="l00078"></a><span class="lineno">   78</span><span class="stringliteral">    uint3 lid [[thread_position_in_threadgroup]]);</span></div>
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								<div class="line"><a id="l00079" name="l00079"></a><span class="lineno">   79</span><span class="stringliteral">)";</span></div>
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								<div class="line"><a id="l00080" name="l00080"></a><span class="lineno">   80</span><span class="stringliteral"></span> </div>
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								<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"><a class="line" href="steel__gemm_8h.html#a144a64b8d94f0371fb144e2cc308fcf9">   81</a></span><span class="stringliteral"></span><span class="keyword">constexpr</span> std::string_view <a class="code hl_variable" href="steel__gemm_8h.html#a144a64b8d94f0371fb144e2cc308fcf9">steel_gemm_splitk_accum_kernels</a> = R<span class="stringliteral">"(</span></div>
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								<div class="line"><a id="l00082" name="l00082"></a><span class="lineno">   82</span><span class="stringliteral">template [[host_name("{name}")]] [[kernel]] void</span></div>
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								<div class="line"><a id="l00083" name="l00083"></a><span class="lineno">   83</span><span class="stringliteral">gemm_splitk_accum<{atype}, {otype}>(</span></div>
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								<div class="line"><a id="l00084" name="l00084"></a><span class="lineno">   84</span><span class="stringliteral">    const device {atype}* C_split [[buffer(0)]],</span></div>
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								<div class="line"><a id="l00085" name="l00085"></a><span class="lineno">   85</span><span class="stringliteral">    device {otype}* D [[buffer(1)]],</span></div>
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								<div class="line"><a id="l00086" name="l00086"></a><span class="lineno">   86</span><span class="stringliteral">    const constant int& k_partitions [[buffer(2)]],</span></div>
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								<div class="line"><a id="l00087" name="l00087"></a><span class="lineno">   87</span><span class="stringliteral">    const constant int& partition_stride [[buffer(3)]],</span></div>
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								<div class="line"><a id="l00088" name="l00088"></a><span class="lineno">   88</span><span class="stringliteral">    const constant int& ldd [[buffer(4)]],</span></div>
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								<div class="line"><a id="l00089" name="l00089"></a><span class="lineno">   89</span><span class="stringliteral">    uint2 gid [[thread_position_in_grid]]);</span></div>
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								<div class="line"><a id="l00090" name="l00090"></a><span class="lineno">   90</span><span class="stringliteral">)";</span></div>
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								<div class="line"><a id="l00091" name="l00091"></a><span class="lineno">   91</span><span class="stringliteral"></span> </div>
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								<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"><a class="line" href="steel__gemm_8h.html#a40a86e1381c241aba8511e51a981a4bf">   92</a></span><span class="stringliteral"></span><span class="keyword">constexpr</span> std::string_view <a class="code hl_variable" href="steel__gemm_8h.html#a40a86e1381c241aba8511e51a981a4bf">steel_gemm_splitk_accum_axbpy_kernels</a> = R<span class="stringliteral">"(</span></div>
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						||
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								<div class="line"><a id="l00093" name="l00093"></a><span class="lineno">   93</span><span class="stringliteral">template [[host_name("{name}")]] [[kernel]] void</span></div>
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								<div class="line"><a id="l00094" name="l00094"></a><span class="lineno">   94</span><span class="stringliteral">gemm_splitk_accum_axpby<{atype}, {otype}>(</span></div>
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								<div class="line"><a id="l00095" name="l00095"></a><span class="lineno">   95</span><span class="stringliteral">    const device {atype}* C_split [[buffer(0)]],</span></div>
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								<div class="line"><a id="l00096" name="l00096"></a><span class="lineno">   96</span><span class="stringliteral">    device {otype}* D [[buffer(1)]],</span></div>
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								<div class="line"><a id="l00097" name="l00097"></a><span class="lineno">   97</span><span class="stringliteral">    const constant int& k_partitions [[buffer(2)]],</span></div>
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								<div class="line"><a id="l00098" name="l00098"></a><span class="lineno">   98</span><span class="stringliteral">    const constant int& partition_stride [[buffer(3)]],</span></div>
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								<div class="line"><a id="l00099" name="l00099"></a><span class="lineno">   99</span><span class="stringliteral">    const constant int& ldd [[buffer(4)]],</span></div>
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								<div class="line"><a id="l00100" name="l00100"></a><span class="lineno">  100</span><span class="stringliteral">    const device {otype}* C [[buffer(5)]],</span></div>
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								<div class="line"><a id="l00101" name="l00101"></a><span class="lineno">  101</span><span class="stringliteral">    const constant int& ldc [[buffer(6)]],</span></div>
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								<div class="line"><a id="l00102" name="l00102"></a><span class="lineno">  102</span><span class="stringliteral">    const constant int& fdc [[buffer(7)]],</span></div>
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								<div class="line"><a id="l00103" name="l00103"></a><span class="lineno">  103</span><span class="stringliteral">    const constant float& alpha [[buffer(8)]],</span></div>
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								<div class="line"><a id="l00104" name="l00104"></a><span class="lineno">  104</span><span class="stringliteral">    const constant float& beta [[buffer(9)]],</span></div>
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								<div class="line"><a id="l00105" name="l00105"></a><span class="lineno">  105</span><span class="stringliteral">    uint2 gid [[thread_position_in_grid]]);</span></div>
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								<div class="line"><a id="l00106" name="l00106"></a><span class="lineno">  106</span><span class="stringliteral">)";</span></div>
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								<div class="ttc" id="asteel__gemm_8h_html_a144a64b8d94f0371fb144e2cc308fcf9"><div class="ttname"><a href="steel__gemm_8h.html#a144a64b8d94f0371fb144e2cc308fcf9">steel_gemm_splitk_accum_kernels</a></div><div class="ttdeci">constexpr std::string_view steel_gemm_splitk_accum_kernels</div><div class="ttdef"><b>Definition</b> steel_gemm.h:81</div></div>
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								<div class="ttc" id="asteel__gemm_8h_html_a40a86e1381c241aba8511e51a981a4bf"><div class="ttname"><a href="steel__gemm_8h.html#a40a86e1381c241aba8511e51a981a4bf">steel_gemm_splitk_accum_axbpy_kernels</a></div><div class="ttdeci">constexpr std::string_view steel_gemm_splitk_accum_axbpy_kernels</div><div class="ttdef"><b>Definition</b> steel_gemm.h:92</div></div>
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								<div class="ttc" id="asteel__gemm_8h_html_a4c6009fd5357b730805f2fd4ba6e093e"><div class="ttname"><a href="steel__gemm_8h.html#a4c6009fd5357b730805f2fd4ba6e093e">steel_gemm_fused_kernels</a></div><div class="ttdeci">constexpr std::string_view steel_gemm_fused_kernels</div><div class="ttdef"><b>Definition</b> steel_gemm.h:3</div></div>
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								<div class="ttc" id="asteel__gemm_8h_html_a62a358fd3ec5365081920d07aceb581c"><div class="ttname"><a href="steel__gemm_8h.html#a62a358fd3ec5365081920d07aceb581c">steel_gemm_masked_kernels</a></div><div class="ttdeci">constexpr std::string_view steel_gemm_masked_kernels</div><div class="ttdef"><b>Definition</b> steel_gemm.h:26</div></div>
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								<div class="ttc" id="asteel__gemm_8h_html_a92108ab01d826e38bca83d8569b947d9"><div class="ttname"><a href="steel__gemm_8h.html#a92108ab01d826e38bca83d8569b947d9">steel_gemm_splitk_kernels</a></div><div class="ttdeci">constexpr std::string_view steel_gemm_splitk_kernels</div><div class="ttdef"><b>Definition</b> steel_gemm.h:57</div></div>
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